Finite Group Databasebeta

← #9435095

Subgroups — #9435095

Order 512.

4129 conjugacy classes of subgroups.

The subgroup lattice has 2049 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58908C212yesmaximal, complemented
2#58127C212yesmaximal, complemented
3#57629C212yesmaximal, complemented
4#57455C212yesmaximal, complemented
5#56683C212yesmaximal, complemented
6#56454C212yesmaximal, complemented
7#55802C212yesmaximal, complemented
8#55692C212yesmaximal, complemented
9#55142C212yesmaximal, complemented
10#54189C212yesmaximal, complemented
11#53645C212yesmaximal, complemented
12#53591C212yesmaximal, complemented
13#53326C212yesmaximal, complemented
14#53205C211yesmaximal, characteristic, complemented
15#52055C212yesmaximal, complemented
16#49609C212yesmaximal, complemented
17#49567C212yesmaximal, complemented
18#49391C212yesmaximal, complemented
19#48035C212yesmaximal, complemented
20#47986C212yesmaximal, complemented
21#47147C212yesmaximal, complemented
22#46664C212yesmaximal, complemented
23#46468C212yesmaximal, complemented
24#46269C212yesmaximal, complemented
25#45972C211yesmaximal, characteristic
26#40320C212yesmaximal, complemented
27#40201C212yesmaximal, complemented
28#39799C211yesmaximal, characteristic, complemented
29#39365C212yesmaximal, complemented
30#39127C211yesmaximal, characteristic, complemented
31#37755C211yesmaximal, characteristic, complemented
32#37168C211yesmaximal, characteristic, complemented
33#37065C212yesmaximal, complemented
34#36994C212yesmaximal, complemented
35#36752C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#544C2212yes—
39C2×#544C2211yescharacteristic
40C2×#529C2211yescharacteristic
41#2865C2212yes—
42#2865C2212yes—
43#2864C2212yes—
44#2859C2212yes—
45#2857C2211yescharacteristic
46#2855C2211yescharacteristic
47#2851C2211yescharacteristic
48#2850C2211yescharacteristic
49#2839C2212yes—
50#2839C2212yes—
51#2838C2212yes—
52#2838C2212yes—
53#2837C2212yes—
54#2837C2212yes—
55#2836C2212yes—
56#2831C2212yes—
57#2831C2212yes—
58#2827C2212yes—
59#2827C2212yes—
60#2822C2211yescharacteristic
61#2820C2211yescharacteristic
62#2814C2212yes—
63#2814C2212yes—
64#2809C2212yes—
65#2806C2211yescharacteristic
66#2806C2211yescharacteristic
67#2805C2212yes—
68#2805C2211yescharacteristic
69#2805C2211yescharacteristic
70#2805C2211yescharacteristic
71#2805C2212yes—
72#2802C2212yes—
73#2802C2212yes—
74#2802C2212yes—
75#2802C2212yes—
76#2802C2212yes—
77#2800C2212yes—
78#2800C2212yes—
79#2798C2212yes—
80#2797C2212yes—
81#2795C2212yes—
82#2793C2212yes—
83#2793C2212yes—
84#2793C2212yes—
85#2792C2212yes—
86#2792C2212yes—
87#2791C2212yes—
88#2791C2212yes—
89#2791C2212yes—
90#2791C2212yes—
91#2791C2212yes—
92#2790C2212yes—
93#2790C2212yes—
94#2790C2212yes—
95#2790C2212yes—
96#2790C2212yes—
97#2789C2212yes—
98#2788C2212yes—
99#2787C2212yes—
100#2787C2212yes—
101#2786C2212yes—
102#2783C2212yes—
103#2781C2212yes—
104#2780C2212yes—
105#2780C2212yes—
106#2780C2212yes—
107#2779C2212yes—
108#2778C2212yes—
109#2777C2212yes—
110#2777C2212yes—
111#2777C2212yes—
112#2777C2212yes—
113#2777C2212yes—
114#2777C2212yes—
115#2776C2212yes—
116#2776C2212yes—
117#2775C2212yes—
118#2775C2212yes—
119#2774C2212yes—
120#2772C2212yes—
121#2772C2212yes—
122#2772C2212yes—
123#2772C2212yes—
124#2771C2212yes—
125#2770C2212yes—
126#2769C2212yes—
127#2769C2212yes—
128#2768C2212yes—
129#2767C2212yes—
130#2766C2212yes—
131#2766C2212yes—
132#2765C2212yes—
133#2761C2212yes—
134#2758C2212yes—
135#2758C2212yes—
136#2758C2212yes—
137#2757C2212yes—
138#2757C2212yes—
139#2757C2212yes—
140#2756C2212yes—
141#2755C2212yes—
142#2755C2212yes—
143#2755C2212yes—
144#2752C2212yes—
145#2750C2212yes—
146#2748C2212yes—
147#2747C2212yes—
148#2745C2212yes—
149#2744C2212yes—
150#2744C2212yes—
151#2743C2212yes—
152#2740C2212yes—
153#2739C2212yes—
154#2738C2212yes—
155#2734C2212yes—
156#2734C2212yes—
157#2734C2212yes—
158#2732C2212yes—
159#2732C2212yes—
160#2732C2211yescharacteristic
161#2731C2212yes—
162#2730C2212yes—
163#2729C2212yes—
164#2729C2212yes—
165#2727C2211yescharacteristic
166#2726C2211yescharacteristic
167#2726C2212yes—
168#2726C2212yes—
169#2725C2212yes—
170#2725C2212yes—
171#2725C2212yes—
172#2725C2212yes—
173#2725C2212yes—
174#2723C2212yes—
175#2721C2212yes—
176#2721C2212yes—
177#2720C2212yes—
178#2720C2212yes—
179#2720C2212yes—
180#2719C2212yes—
181#2719C2212yes—
182#2719C2212yes—
183#2719C2212yes—
184#2719C2212yes—
185#2717C2212yes—
186#2716C2212yes—
187#2715C2212yes—
188#2713C2212yes—
189#2713C2212yes—
190#2713C2212yes—
191#2711C2212yes—
192#2707C2212yes—
193#2707C2212yes—
194#2707C2212yes—
195#2707C2212yes—
196#2706C2212yes—
197#2704C2212yes—
198#2704C2212yes—
199#2702C2212yes—
200#2700C2212yes—
201#2698C2212yes—
202#2695C2212yes—
203#2693C2212yes—
204#2691C2212yes—
205#2691C2212yes—
206#2690C2212yes—
207#2690C2212yes—
208#2689C2212yes—
209#2688C2212yes—
210#2687C2212yes—
211#2683C2212yes—
212#2683C2212yes—
213#2681C2212yes—
214#2674C2212yes—
215#2672C2212yes—
216#2666C2212yes—
217#2663C2212yes—
218#2659C2211yescharacteristic
219#2659C2211yescharacteristic
220#2655C2212yes—
221#2655C2212yes—
222#2654C2212yes—
223#2654C2212yes—
224#2652C2212yes—
225#2652C2212yes—
226#2652C2212yes—
227#2649C2212yes—
228#2649C2212yes—
229#2646C2211yescharacteristic
230#2639C2211yescharacteristic
231#2639C2211yescharacteristic
232#2634C2212yes—
233#2634C2212yes—
234#2630C2212yes—
235#2629C2212yes—
236#2629C2212yes—
237#2629C2212yes—
238#2620C2212yes—
239#2618C2211yescharacteristic
240#2609C2212yes—
241#2609C2212yes—
242#2608C2212yes—
243#2608C2212yes—
244#2602C2212yes—
245#2601C2212yes—
246#2599C2212yes—
247#2599C2212yes—
248#2599C2212yes—
249#2599C2212yes—
250#2595C2212yes—
251#2594C2212yes—
252#2594C2212yes—
253#2591C2212yes—
254#2590C2212yes—
255#2588C2212yes—
256#2585C2212yes—
257#2585C2212yes—
258#2583C2212yes—
259#2579C2212yes—
260#2578C2212yes—
261#2578C2212yes—
262#2578C2212yes—
263#2578C2212yes—
264#2577C2212yes—
265#2577C2212yes—
266#2569C2212yes—
267#2565C2212yes—
268#2562C2212yes—
269#2558C2212yes—
270#2558C2212yes—
271#2556C2212yes—
272#2556C2212yes—
273#2556C2212yes—
274#2556C2212yes—
275#2556C2212yes—
276#2552C2212yes—
277#2550C2212yes—
278#2550C2212yes—
279#2547C2211yescharacteristic
280#2545C2212yes—
281#2538C2211yescharacteristic
282#2538C2212yes—
283#2525C2212yes—
284#2525C2212yes—
285#2524C2212yes—
286#2524C2212yes—
287#2522C2212yes—
288#2522C2212yes—
289#2514C2212yes—
290#2510C2212yes—
291#2510C2212yes—
292#2509C2212yes—
293#2507C2212yes—
294#2506C2212yes—
295#2499C2212yes—
296#2497C2212yes—
297#2492C2212yes—
298#2491C2212yes—
299#2488C2212yes—
300#2478C2212yes—
301#2477C2212yes—
302#2477C2212yes—
303#2476C2212yes—
304#2476C2212yes—
305#2475C2212yes—
306#2475C2212yes—
307#2475C2212yes—
308#2475C2212yes—
309#2475C2212yes—
310#2475C2212yes—
311#2474C2212yes—
312#2474C2212yes—
313#2474C2212yes—
314#2474C2212yes—
315#2473C2212yes—
316#2473C2212yes—
317#2473C2212yes—
318#2473C2212yes—
319#2471C2212yes—
320#2470C2212yes—
321#2470C2212yes—
322#2470C2212yes—
323#2465C2212yes—
324#2465C2212yes—
325#2464C2212yes—
326#2462C2212yes—
327#2462C2212yes—
328#2460C2212yes—
329#2453C2212yes—
330#2453C2212yes—
331#2450C2212yes—
332#2449C2212yes—
333#2446C2212yes—
334#2446C2212yes—
335#2443C2212yes—
336#2441C2212yes—
337#2441C2212yes—
338#2441C2212yes—
339#2440C2212yes—
340#2440C2212yes—
341#2439C2212yes—
342#2438C2212yes—
343#2438C2212yes—
344#2429C2212yes—
345#2429C2212yes—
346#2429C2212yes—
347#2429C2212yes—
348#2426C2212yes—
349#2423C2212yes—
350#2421C2212yes—
351#2421C2212yes—
352#2413C2212yes—
353#2413C2212yes—
354#2413C2212yes—
355#2381C2212yes—
356#2379C2211yescharacteristic
357#2376C2212yes—
358#2362C2212yes—
359#2359C2212yes—
360#2352C2212yes—
361#2352C2212yes—
362Q8×C4⋊C4C2211yescharacteristic
363#2336C2212yes—
364#2336C2212yes—
365#2335C2212yes—
366#2335C2212yes—
367#2329C2211yescharacteristic
368#2329C2211yescharacteristic
369#2325C2211yescharacteristic
370#2323C2212yes—
371#2316C2212yes—
372#2316C2211yescharacteristic
373#2313C2211yescharacteristic
374C4×C4⋊Q8C2212yes—
375C4×#126C2212yes—
376C4×C22⋊Q8C2211yescharacteristic
377#2293C2212yes—
378C2×#387C2211yescharacteristic
379#562—44no—
380#557—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—
389#529—44no—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#125C2312yes—
394C2×#125C2311yescharacteristic
395C2×#125C2311yescharacteristic
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#124C2311yescharacteristic
408C2×#124C2311yescharacteristic
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2311yescharacteristic
457C22×C42C2311yescharacteristic
458#401C2312yes—
459#401C2312yes—
460#401C2312yes—
461#400C2312yes—
462#400C2312yes—
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#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
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#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
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#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#397C2312yes—
612#397C2312yes—
613#397C2312yes—
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#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
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#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#392C2312yes—
697#392C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2311yescharacteristic
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2311yescharacteristic
706#391C2311yescharacteristic
707#391C2311yescharacteristic
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2311yescharacteristic
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
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#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2311yescharacteristic
765#389C2311yescharacteristic
766#389C2311yescharacteristic
767#389C2311yescharacteristic
768#389C2312yes—
769#389C2311yescharacteristic
770#389C2311yescharacteristic
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#389C2311yescharacteristic
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#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#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#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#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#387C2312yes—
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#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
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#384C2312yes—
1022#384C2312yes—
1023#384C2311yescharacteristic
1024#384C2312yes—
1025#384C2312yes—
1026#384C2312yes—
1027#384C2312yes—
1028#383C2312yes—
1029#383C2312yes—
1030#383C2312yes—
1031#383C2312yes—
1032#383C2312yes—
1033#383C2312yes—
1034#383C2312yes—
1035#383C2312yes—
1036#382C2311yescharacteristic
1037#382C2312yes—
1038#382C2311yescharacteristic
1039#382C2312yes—
1040#382C2312yes—
1041#382C2312yes—
1042#382C2312yes—
1043#382C2312yes—
1044#382C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#380C2311yescharacteristic
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2311yescharacteristic
1060#380C2311yescharacteristic
1061#380C2312yes—
1062#380C2311yescharacteristic
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
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—
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C43C2312yes—
1103C22×Q8C2411yescharacteristic
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×D4C2411yescharacteristic
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C23×C4C2412yes—
1117C23×C4C2411yescharacteristic
1118C23×C4C2412yes—
1119C23×C4C2412yes—
1120C23×C4C2411yescharacteristic
1121C23×C4C2411yescharacteristic
1122C23×C4C2411yescharacteristic
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2411yescharacteristic
1126C23×C4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C4⋊Q8—28no—
1130C4⋊Q8—28no—
1131C4⋊Q8—42no—
1132C4⋊Q8—44no—
1133C4⋊Q8—44no—
1134C4⋊Q8—44no—
1135#126—44no—
1136#126—44no—
1137#126—82no—
1138#125—42no—
1139#125—44no—
1140#125—44no—
1141#125—44no—
1142#125—44no—
1143#125—42no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#125—44no—
1150#125—44no—
1151#125—82no—
1152#124—24no—
1153#124—42no—
1154#124—82no—
1155#124—82no—
1156#123—28no—
1157#123—44no—
1158#123—44no—
1159#123—44no—
1160#123—44no—
1161#123—82no—
1162C22⋊Q8—24no—
1163C22⋊Q8—28no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—42no—
1169C22⋊Q8—44no—
1170C22⋊Q8—42no—
1171C22⋊Q8—42no—
1172C22⋊Q8—44no—
1173C22⋊Q8—82no—
1174C22⋊Q8—82no—
1175C22⋊Q8—82no—
1176C22⋊Q8—82no—
1177#121—42no—
1178#121—44no—
1179#121—44no—
1180#121—42no—
1181C4×Q8—24no—
1182C4×Q8—42no—
1183C4×Q8—44no—
1184C4×Q8—44no—
1185C4×Q8—82no—
1186C4×Q8—82no—
1187C4×D4—28no—
1188C4×D4—44no—
1189C4×D4—42no—
1190#117—44no—
1191#117—44no—
1192#117—44no—
1193#117—44no—
1194#117—82no—
1195#117—82no—
1196#117—82no—
1197#117—82no—
1198C2×C4⋊C4—24no—
1199C2×C4⋊C4—44no—
1200C2×C4⋊C4—42no—
1201C2×C4⋊C4—44no—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2411yescharacteristic
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊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⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2411yescharacteristic
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×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×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C42—42no—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2411yescharacteristic
1378C2×C42C2412yes—
1379C2×C42C2411yescharacteristic
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2411yescharacteristic
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×C42C2411yescharacteristic
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
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—22no—
1526C2×Q8—41no—
1527C2×Q8—41no—
1528C2×Q8—41no—
1529C2×Q8—41no—
1530C2×Q8—42no—
1531C2×Q8—42no—
1532C2×Q8—42no—
1533C2×Q8—42no—
1534C2×Q8—41no—
1535C2×Q8—41no—
1536C2×Q8—42no—
1537C2×Q8—41no—
1538C2×Q8—41no—
1539C2×Q8—42no—
1540C2×Q8—41no—
1541C2×Q8—42no—
1542C2×Q8—41no—
1543C2×Q8H(5,𝔽2)14yes—
1544C2×D4—24no—
1545C2×D4—24no—
1546C2×D4—22no—
1547C2×D4—42no—
1548C2×D4—42no—
1549C2×D4—41no—
1550C2×D4—41no—
1551C2×D4—42no—
1552C2×D4—42no—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—41no—
1556C2×D4—41no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—41no—
1561C2×D4—42no—
1562C22×C4—22no—
1563C22×C4—22no—
1564C22×C4—24no—
1565C22×C4—22no—
1566C22×C4—24no—
1567C22×C4—24no—
1568C22×C4—22no—
1569C22×C4—41no—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—41no—
1573C22×C4—42no—
1574C22×C4—41no—
1575C22×C4—42no—
1576C22×C4—41no—
1577C22×C4—42no—
1578C22×C4—41no—
1579C22×C4—41no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—41no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—41no—
1586C22×C4—41no—
1587C22×C4—41no—
1588C22×C4—41no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—41no—
1593C22×C4—42no—
1594C22×C4—41no—
1595C22×C4—41no—
1596C22×C4—41no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—41no—
1600C22×C42−1+414yes—
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2511yescharacteristic
1610C22×C4C2511yescharacteristic
1611C22×C4C2512yes—
1612C22×C4C2511yescharacteristic
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×C4C2511yescharacteristic
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2511yescharacteristic
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2511yescharacteristic
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—24no—
1638C4⋊C4—22no—
1639C4⋊C4—22no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
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—22no—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—41no—
1666C4⋊C4—42no—
1667C4⋊C4—41no—
1668C4⋊C4—41no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—41no—
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—41no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—41no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
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—41no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—41no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—41no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
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—41no—
1734C4⋊C4—41no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—41no—
1742C4⋊C4—41no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—41no—
1746C22⋊C4—24no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
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—
1804C42—22no—
1805C42—22no—
1806C42—24no—
1807C42—24no—
1808C42—24no—
1809C42—24no—
1810C42—41no—
1811C42—41no—
1812C42—42no—
1813C42—42no—
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—
1834C23—21no—
1835C23—21no—
1836C23—21no—
1837C23—21no—
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—
1854C23C2×2−1+412yes—
1855C23C2611yescharacteristic
1856Q8—44no—
1857Q8—44no—
1858Q8—84no—
1859Q8—84no—
1860Q8—162no—
1861Q8—161no—
1862Q8—161no—
1863D4—82no—
1864D4—84no—
1865D4—84no—
1866D4—162no—
1867D4—161no—
1868D4—162no—
1869C2×C4—21no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—21no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—21no—
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—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—21no—
1900C2×C4—21no—
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—22no—
1913C2×C4—22no—
1914C2×C4—21no—
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—22no—
1943C2×C4—22no—
1944C2×C4—21no—
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—21no—
1956C2×C4—21no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—21no—
1961C2×C4—44no—
1962C2×C4—48no—
1963C2×C4—44no—
1964C2×C4—48no—
1965C2×C4—82no—
1966C2×C4—84no—
1967C2×C4—84no—
1968C2×C4—82no—
1969C2×C4—82no—
1970C2×C4—161no—
1971C2×C4—162no—
1972C2×C4—161no—
1973C2×C4—162no—
1974C2×C4C2×H(5,𝔽2)12yes—
1975C2×C4C2×H(5,𝔽2)14yes—
1976C2×C4C2×2−1+414yes—
1977C2×C4#58512yes—
1978C22—22no—
1979C22—22no—
1980C22—22no—
1981C22—41no—
1982C22—41no—
1983C22—41no—
1984C22—41no—
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—
1998C22—42no—
1999C22C22×H(5,𝔽2)11yescharacteristic
2000C22C22×2−1+411yescharacteristic
2001C22C2×#58511yescharacteristic
2002C22H(7,𝔽2)11yescharacteristic
2003C222−1+611yescharacteristic
2004C222−1+611yescharacteristic
2005C222−1+611yescharacteristic
2006C4—22no—
2007C4—24no—
2008C4—24no—
2009C4—22no—
2010C4—42no—
2011C4—42no—
2012C4—42no—
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—41no—
2028C4—41no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—41no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C2—42no—
2039C2—82no—
2040C2—82no—
2041C2#6286611yescharacteristic
2042C2#6287711yescharacteristic
2043C2#6289311yescharacteristic
2044C2#6291911yescharacteristic
2045C2#6295911yescharacteristic
2046C2#6297911yescharacteristic
2047C2#6304711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#45972C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58908C2semidirect
2. #58127C2semidirect
3. #57629C2semidirect
4. #57455C2semidirect
5. #56683C2semidirect
6. #56454C2semidirect
7. #55802C2semidirect
8. #55692C2semidirect
9. #55142C2semidirect
10. #54189C2semidirect
11. #53645C2semidirect
12. #53591C2semidirect
13. #53326C2semidirect
14. #53205C2semidirect
15. #52055C2semidirect
16. #49609C2semidirect
17. #49567C2semidirect
18. #49391C2semidirect
19. #48035C2semidirect
20. #47986C2semidirect
21. #47147C2semidirect
22. #46664C2semidirect
23. #46468C2semidirect
24. #46269C2semidirect
26. #40320C2semidirect
27. #40201C2semidirect
28. #39799C2semidirect
29. #39365C2semidirect
30. #39127C2semidirect
31. #37755C2semidirect
32. #37168C2semidirect
33. #37065C2semidirect
34. #36994C2semidirect
35. #36752C2semidirect

Maximal subgroups

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

subgroupindex
#589082
#581272
#576292
#574552
#566832
#564542
#558022
#556922
#551422
#541892
#536452
#535912
#533262
#532052
#520552
#496092
#495672
#493912
#480352
#479862
#471472
#466642
#464682
#462692
#459722
#403202
#402012
#397992
#393652
#391272
#377552
#371682
#370652
#369942
#367522