Finite Group Databasebeta

← #8930123

Subgroups — #8930123

Order 512.

4158 conjugacy classes of subgroups.

The subgroup lattice has 2052 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58708C212yesmaximal, complemented
2#58599C212yesmaximal, complemented
3#58443C212yesmaximal, complemented
4#58234C212yesmaximal, complemented
5#58047C212yesmaximal, complemented
6#57952C212yesmaximal, complemented
7#56841C212yesmaximal, complemented
8#56830C212yesmaximal, complemented
9#55488C212yesmaximal, complemented
10#55083C212yesmaximal, complemented
11#54581C212yesmaximal, complemented
12#54029C212yesmaximal, complemented
13#52060C212yesmaximal, complemented
14#51986C212yesmaximal, complemented
15#51729C212yesmaximal, complemented
16#51599C212yesmaximal, complemented
17#51390C212yesmaximal, complemented
18#51374C212yesmaximal, complemented
19#47454C212yesmaximal, complemented
20#47209C212yesmaximal, complemented
21#46468C212yesmaximal, complemented
22#46316C211yesmaximal, characteristic, complemented
23#46315C211yesmaximal, characteristic
24#46295C211yesmaximal, characteristic, complemented
25#46290C211yesmaximal, characteristic, complemented
26#46283C212yesmaximal, complemented
27#46202C212yesmaximal, complemented
28#46198C212yesmaximal, complemented
29#45919C212yesmaximal, complemented
30#37410C212yesmaximal, complemented
31#36989C212yesmaximal, complemented
32#36968C211yesmaximal, characteristic, complemented
33#36959C211yesmaximal, characteristic, complemented
34#35639C211yesmaximal, characteristic, complemented
35#35606C212yesmaximal, complemented
36C2×#544C2211yescharacteristic
37C2×#542C2212yes—
38C2×#539C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#520C2211yescharacteristic
41#2866C2212yes—
42#2864C2212yes—
43#2863C2212yes—
44#2863C2212yes—
45#2855C2211yescharacteristic
46#2855C2211yescharacteristic
47#2855C2211yescharacteristic
48#2854C2211yescharacteristic
49#2843C2212yes—
50#2843C2212yes—
51#2841C2212yes—
52#2839C2212yes—
53#2838C2212yes—
54#2838C2212yes—
55#2834C2212yes—
56#2833C2212yes—
57#2831C2212yes—
58#2831C2212yes—
59#2830C2212yes—
60#2830C2212yes—
61#2829C2212yes—
62#2829C2212yes—
63#2827C2212yes—
64#2814C2212yes—
65#2814C2212yes—
66#2811C2211yescharacteristic
67#2810C2211yescharacteristic
68#2809C2211yescharacteristic
69#2808C2212yes—
70#2808C2211yescharacteristic
71#2808C2211yescharacteristic
72#2808C2211yescharacteristic
73#2806C2212yes—
74#2806C2212yes—
75#2806C2212yes—
76#2806C2211yescharacteristic
77#2806C2211yescharacteristic
78#2805C2212yes—
79#2805C2212yes—
80#2805C2211yescharacteristic
81#2802C2212yes—
82#2802C2212yes—
83#2802C2212yes—
84#2800C2212yes—
85#2799C2212yes—
86#2799C2212yes—
87#2798C2212yes—
88#2798C2212yes—
89#2797C2212yes—
90#2793C2212yes—
91#2793C2212yes—
92#2791C2212yes—
93#2791C2212yes—
94#2789C2212yes—
95#2788C2212yes—
96#2788C2212yes—
97#2787C2212yes—
98#2787C2212yes—
99#2786C2212yes—
100#2783C2212yes—
101#2781C2212yes—
102#2779C2212yes—
103#2777C2212yes—
104#2776C2212yes—
105#2776C2212yes—
106#2775C2212yes—
107#2773C2212yes—
108#2773C2212yes—
109#2773C2212yes—
110#2772C2212yes—
111#2772C2212yes—
112#2772C2212yes—
113#2766C2212yes—
114#2766C2212yes—
115#2765C2212yes—
116#2765C2212yes—
117#2761C2212yes—
118#2755C2212yes—
119#2755C2212yes—
120#2755C2212yes—
121#2754C2212yes—
122#2754C2212yes—
123#2754C2212yes—
124#2751C2212yes—
125#2751C2212yes—
126#2750C2212yes—
127#2749C2212yes—
128#2747C2212yes—
129#2747C2212yes—
130#2747C2212yes—
131#2745C2212yes—
132#2745C2212yes—
133#2745C2212yes—
134#2745C2212yes—
135#2744C2212yes—
136#2744C2212yes—
137#2744C2212yes—
138#2744C2212yes—
139#2743C2212yes—
140#2740C2212yes—
141#2740C2212yes—
142#2740C2212yes—
143#2739C2212yes—
144#2737C2212yes—
145#2737C2212yes—
146#2737C2212yes—
147#2734C2211yescharacteristic
148#2734C2212yes—
149#2734C2211yescharacteristic
150#2733C2211yescharacteristic
151#2732C2211yescharacteristic
152#2731C2212yes—
153#2729C2212yes—
154#2729C2212yes—
155#2729C2212yes—
156#2727C2211yescharacteristic
157#2726C2212yes—
158#2726C2212yes—
159#2726C2211yescharacteristic
160#2725C2212yes—
161#2725C2212yes—
162#2725C2212yes—
163#2725C2212yes—
164#2723C2212yes—
165#2719C2212yes—
166#2719C2212yes—
167#2719C2212yes—
168#2719C2212yes—
169#2717C2212yes—
170#2716C2212yes—
171#2713C2212yes—
172#2713C2212yes—
173#2713C2212yes—
174#2713C2212yes—
175#2713C2212yes—
176#2713C2212yes—
177#2710C2212yes—
178#2707C2212yes—
179#2707C2212yes—
180#2707C2212yes—
181#2707C2212yes—
182#2705C2212yes—
183#2704C2212yes—
184#2704C2212yes—
185#2704C2212yes—
186#2704C2212yes—
187#2704C2212yes—
188#2702C2212yes—
189#2700C2212yes—
190#2700C2212yes—
191#2700C2212yes—
192#2699C2212yes—
193#2698C2212yes—
194#2698C2212yes—
195#2698C2212yes—
196#2696C2212yes—
197#2693C2212yes—
198#2692C2212yes—
199#2690C2212yes—
200#2690C2212yes—
201#2690C2212yes—
202#2689C2212yes—
203#2689C2212yes—
204#2687C2212yes—
205#2687C2212yes—
206#2687C2212yes—
207#2687C2212yes—
208#2686C2212yes—
209#2683C2211yescharacteristic
210#2677C2212yes—
211#2674C2212yes—
212#2674C2212yes—
213#2672C2212yes—
214#2667C2212yes—
215#2666C2212yes—
216#2665C2212yes—
217#2664C2212yes—
218#2659C2212yes—
219#2655C2212yes—
220#2654C2212yes—
221#2654C2212yes—
222#2653C2212yes—
223#2652C2212yes—
224#2651C2212yes—
225#2651C2212yes—
226#2648C2212yes—
227#2637C2212yes—
228#2628C2212yes—
229#2627C2211yescharacteristic
230#2627C2211yescharacteristic
231#2627C2211yescharacteristic
232#2625C2212yes—
233#2618C2211yescharacteristic
234#2608C2212yes—
235#2602C2212yes—
236#2602C2212yes—
237#2601C2212yes—
238#2599C2212yes—
239#2594C2212yes—
240#2594C2212yes—
241#2594C2212yes—
242#2590C2212yes—
243#2590C2212yes—
244#2590C2212yes—
245#2590C2212yes—
246#2588C2212yes—
247#2588C2212yes—
248#2588C2212yes—
249#2588C2212yes—
250#2588C2212yes—
251#2586C2212yes—
252#2586C2212yes—
253#2586C2212yes—
254#2585C2212yes—
255#2585C2212yes—
256#2585C2212yes—
257#2583C2212yes—
258#2583C2212yes—
259#2579C2212yes—
260#2579C2212yes—
261#2579C2212yes—
262#2578C2212yes—
263#2577C2212yes—
264#2577C2212yes—
265#2575C2212yes—
266#2574C2212yes—
267#2573C2212yes—
268#2556C2212yes—
269#2550C2212yes—
270#2546C2212yes—
271#2545C2212yes—
272#2523C2212yes—
273#2523C2212yes—
274#2522C2212yes—
275#2521C2212yes—
276#2521C2212yes—
277#2520C2212yes—
278#2519C2212yes—
279#2519C2212yes—
280#2518C2212yes—
281#2516C2212yes—
282#2509C2212yes—
283#2508C2212yes—
284#2503C2212yes—
285#2494C2212yes—
286#2493C2212yes—
287#2492C2212yes—
288#2492C2212yes—
289#2488C2212yes—
290#2487C2212yes—
291#2487C2212yes—
292#2486C2212yes—
293#2484C2212yes—
294#2484C2212yes—
295#2478C2212yes—
296#2478C2212yes—
297#2478C2212yes—
298#2478C2212yes—
299#2477C2212yes—
300#2477C2212yes—
301#2476C2212yes—
302#2475C2212yes—
303#2475C2212yes—
304#2474C2212yes—
305#2474C2212yes—
306#2474C2212yes—
307#2474C2212yes—
308#2470C2212yes—
309#2469C2212yes—
310#2468C2212yes—
311#2468C2212yes—
312#2468C2212yes—
313#2467C2212yes—
314#2466C2212yes—
315#2465C2212yes—
316#2465C2212yes—
317#2465C2212yes—
318#2462C2212yes—
319#2462C2212yes—
320#2461C2212yes—
321#2461C2212yes—
322#2460C2212yes—
323#2459C2212yes—
324#2454C2212yes—
325#2454C2212yes—
326#2453C2212yes—
327#2453C2212yes—
328#2453C2212yes—
329#2453C2212yes—
330#2451C2212yes—
331#2451C2212yes—
332#2451C2212yes—
333#2450C2212yes—
334#2447C2212yes—
335#2447C2212yes—
336#2444C2212yes—
337#2442C2212yes—
338#2442C2212yes—
339#2441C2212yes—
340#2441C2212yes—
341#2440C2212yes—
342#2439C2212yes—
343#2439C2212yes—
344#2438C2212yes—
345#2432C2212yes—
346#2429C2212yes—
347#2429C2212yes—
348#2422C2212yes—
349#2421C2212yes—
350#2417C2212yes—
351#2415C2212yes—
352#2415C2212yes—
353#2413C2212yes—
354#2413C2212yes—
355#2413C2212yes—
356#2407C2212yes—
357#2383C2212yes—
358#2382C2212yes—
359#2381C2212yes—
360#2381C2212yes—
361#2378C2212yes—
362#2378C2212yes—
363#2368C2212yes—
364#2355C2212yes—
365#2335C2212yes—
366#2323C2212yes—
367#2323C2212yes—
368#2323C2212yes—
369#2317C2211yescharacteristic
370#2316C2211yescharacteristic
371#2316C2211yescharacteristic
372#2313C2211yescharacteristic
373#2311C2211yescharacteristic
374C4×C4⋊Q8C2212yes—
375#2297C2211yescharacteristic
376#2296C2211yescharacteristic
377#2293C2212yes—
378#2293C2212yes—
379C22×#41C2311yescharacteristic
380#544—44no—
381#542—48no—
382#539—44no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#125—44no—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430#520—44no—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×#117C2311yescharacteristic
441C2×#117C2311yescharacteristic
442C2×#117C2311yescharacteristic
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2311yescharacteristic
455C22×C42C2311yescharacteristic
456#401C2312yes—
457#401C2312yes—
458#401C2312yes—
459#401C2312yes—
460#400C2312yes—
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#399C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
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#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#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
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#396C2312yes—
609#396C2312yes—
610#396C2312yes—
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#395C2312yes—
637#395C2312yes—
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#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#392C2312yes—
694#392C2312yes—
695#392C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2311yescharacteristic
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2311yescharacteristic
718#391C2311yescharacteristic
719#391C2311yescharacteristic
720#391C2311yescharacteristic
721#391C2311yescharacteristic
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2311yescharacteristic
728#391C2311yescharacteristic
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#390C2312yes—
736#390C2311yescharacteristic
737#390C2312yes—
738#390C2311yescharacteristic
739#390C2312yes—
740#390C2311yescharacteristic
741#390C2311yescharacteristic
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
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#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2311yescharacteristic
771#389C2312yes—
772#389C2312yes—
773#389C2311yescharacteristic
774#389C2311yescharacteristic
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2311yescharacteristic
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2311yescharacteristic
792#389C2311yescharacteristic
793#389C2311yescharacteristic
794#389C2311yescharacteristic
795#389C2311yescharacteristic
796#389C2311yescharacteristic
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2311yescharacteristic
803#389C2312yes—
804#389C2311yescharacteristic
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
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#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#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#387C2312yes—
966#387C2312yes—
967#387C2312yes—
968#387C2312yes—
969#387C2312yes—
970#387C2312yes—
971#387C2312yes—
972#387C2312yes—
973#387C2312yes—
974#387C2312yes—
975#387C2312yes—
976#387C2312yes—
977#387C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
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#383C2312yes—
1027#383C2312yes—
1028#383C2312yes—
1029#383C2312yes—
1030#383C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#381C2312yes—
1050#381C2312yes—
1051#381C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2311yescharacteristic
1060#380C2311yescharacteristic
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073#380C2312yes—
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×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C2×#95C2312yes—
1102C43C2312yes—
1103C2×#41—24no—
1104C2×#41—42no—
1105C2×#41—42no—
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2411yescharacteristic
1115C22×D4C2412yes—
1116C22×D4C2411yescharacteristic
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2411yescharacteristic
1121C23×C4C2411yescharacteristic
1122C23×C4C2412yes—
1123C23×C4C2411yescharacteristic
1124C23×C4C2411yescharacteristic
1125C23×C4C2411yescharacteristic
1126C23×C4C2411yescharacteristic
1127C23×C4C2411yescharacteristic
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C4⋊Q8—28no—
1135C4⋊Q8—44no—
1136C4⋊Q8—44no—
1137C4⋊Q8—44no—
1138C4⋊Q8—82no—
1139C4⋊Q8—82no—
1140#126—44no—
1141#126—44no—
1142#126—44no—
1143#126—44no—
1144#126—82no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#125—44no—
1150#125—44no—
1151#125—44no—
1152#125—44no—
1153#125—82no—
1154#124—44no—
1155#124—44no—
1156#124—44no—
1157#124—82no—
1158#123—28no—
1159#123—44no—
1160#123—44no—
1161#123—82no—
1162#123—82no—
1163#123—82no—
1164C22⋊Q8—28no—
1165C22⋊Q8—28no—
1166C22⋊Q8—42no—
1167C22⋊Q8—42no—
1168C22⋊Q8—42no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—82no—
1175C22⋊Q8—82no—
1176C22⋊Q8—82no—
1177C22⋊Q8—82no—
1178#121—44no—
1179#121—42no—
1180C4×Q8—44no—
1181C4×Q8—44no—
1182C4×Q8—44no—
1183C4×Q8—82no—
1184C4×D4—28no—
1185C4×D4—44no—
1186C4×D4—44no—
1187C4×D4—44no—
1188C4×D4—44no—
1189#117—42no—
1190#117—44no—
1191#117—44no—
1192#117—42no—
1193#117—44no—
1194#117—42no—
1195#117—82no—
1196#117—82no—
1197C2×C4⋊C4—24no—
1198C2×C4⋊C4—24no—
1199C2×C4⋊C4—24no—
1200C2×C4⋊C4—44no—
1201C2×C4⋊C4—42no—
1202C2×C4⋊C4—42no—
1203C2×C4⋊C4—42no—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2411yescharacteristic
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2411yescharacteristic
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2411yescharacteristic
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2411yescharacteristic
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2411yescharacteristic
1260C2×C4⋊C4C2411yescharacteristic
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊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×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
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×C42C2412yes—
1390C2×C42C2411yescharacteristic
1391C2×C42C2411yescharacteristic
1392C2×C42C2411yescharacteristic
1393C2×C42C2411yescharacteristic
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
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
1523#41—416no—
1524C2×Q8—24no—
1525C2×Q8—24no—
1526C2×Q8—41no—
1527C2×Q8—41no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—42no—
1532C2×Q8—42no—
1533C2×Q8—42no—
1534C2×Q8—42no—
1535C2×Q8—41no—
1536C2×Q8—42no—
1537C2×Q8—41no—
1538C2×Q8—41no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—41no—
1543C2×Q8—41no—
1544C2×Q8—42no—
1545C2×Q8—41no—
1546C2×Q8—41no—
1547C2×Q8—41no—
1548C2×Q8—42no—
1549C2×Q8—41no—
1550C2×Q82−1+414yes—
1551C2×D4—24no—
1552C2×D4—24no—
1553C2×D4—24no—
1554C2×D4—22no—
1555C2×D4—41no—
1556C2×D4—41no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—41no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—41no—
1567C2×D4—41no—
1568C2×D4—42no—
1569C22×C4—22no—
1570C22×C4—22no—
1571C22×C4—22no—
1572C22×C4—22no—
1573C22×C4—22no—
1574C22×C4—22no—
1575C22×C4—22no—
1576C22×C4—22no—
1577C22×C4—24no—
1578C22×C4—24no—
1579C22×C4—24no—
1580C22×C4—24no—
1581C22×C4—42no—
1582C22×C4—41no—
1583C22×C4—41no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—41no—
1590C22×C4—41no—
1591C22×C4—42no—
1592C22×C4—41no—
1593C22×C4—41no—
1594C22×C4—41no—
1595C22×C4—41no—
1596C22×C4—41no—
1597C22×C4—41no—
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×C4H(5,𝔽2)14yes—
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2511yescharacteristic
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2511yescharacteristic
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2511yescharacteristic
1634C22×C4C2511yescharacteristic
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2511yescharacteristic
1639C22×C4C2511yescharacteristic
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—24no—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—22no—
1660C4⋊C4—22no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—41no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—41no—
1678C4⋊C4—41no—
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—41no—
1697C4⋊C4—41no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—41no—
1701C4⋊C4—41no—
1702C4⋊C4—41no—
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—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—41no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—41no—
1722C4⋊C4—41no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—41no—
1726C4⋊C4—41no—
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—41no—
1746C4⋊C4—42no—
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—
1804C22⋊C4—42no—
1805C42—24no—
1806C42—24no—
1807C42—24no—
1808C42—41no—
1809C42—41no—
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—
1834C42—42no—
1835C23—21no—
1836C23—21no—
1837C23—21no—
1838C23—21no—
1839C23—21no—
1840C23—21no—
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—
1855C23C2×H(5,𝔽2)12yes—
1856C23C2611yescharacteristic
1857Q8—44no—
1858Q8—84no—
1859Q8—84no—
1860Q8—84no—
1861Q8—162no—
1862Q8—162no—
1863Q8—161no—
1864Q8—161no—
1865Q8—161no—
1866D4—48no—
1867D4—44no—
1868D4—84no—
1869D4—84no—
1870D4—162no—
1871D4—161no—
1872C2×C4—28no—
1873C2×C4—22no—
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—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—21no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
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—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—21no—
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—22no—
1945C2×C4—22no—
1946C2×C4—21no—
1947C2×C4—22no—
1948C2×C4—21no—
1949C2×C4—21no—
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—21no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—44no—
1966C2×C4—48no—
1967C2×C4—44no—
1968C2×C4—84no—
1969C2×C4—84no—
1970C2×C4—82no—
1971C2×C4—82no—
1972C2×C4—82no—
1973C2×C4—82no—
1974C2×C4—162no—
1975C2×C4—162no—
1976C2×C4—162no—
1977C2×C4C2×H(5,𝔽2)14yes—
1978C2×C4C2×2−1+414yes—
1979C2×C4C2×2−1+412yes—
1980C2×C4#58512yes—
1981C22—22no—
1982C22—22no—
1983C22—22no—
1984C22—41no—
1985C22—41no—
1986C22—41no—
1987C22—41no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22C22×H(5,𝔽2)11yescharacteristic
2003C22C22×2−1+411yescharacteristic
2004C22C2×#58511yescharacteristic
2005C22H(7,𝔽2)11yescharacteristic
2006C222−1+611yescharacteristic
2007C222−1+611yescharacteristic
2008C222−1+611yescharacteristic
2009C4—22no—
2010C4—22no—
2011C4—24no—
2012C4—24no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
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—41no—
2031C4—41no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—41no—
2039C4—41no—
2040C4—42no—
2041C2—42no—
2042C2—82no—
2043C2—82no—
2044C2#6281911yescharacteristic
2045C2#6286611yescharacteristic
2046C2#6288711yescharacteristic
2047C2#6305311yescharacteristic
2048C2#6305711yescharacteristic
2049C2#6306111yescharacteristic
2050C2#6306511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#46315C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58708C2semidirect
2. #58599C2semidirect
3. #58443C2semidirect
4. #58234C2semidirect
5. #58047C2semidirect
6. #57952C2semidirect
7. #56841C2semidirect
8. #56830C2semidirect
9. #55488C2semidirect
10. #55083C2semidirect
11. #54581C2semidirect
12. #54029C2semidirect
13. #52060C2semidirect
14. #51986C2semidirect
15. #51729C2semidirect
16. #51599C2semidirect
17. #51390C2semidirect
18. #51374C2semidirect
19. #47454C2semidirect
20. #47209C2semidirect
21. #46468C2semidirect
22. #46316C2semidirect
24. #46295C2semidirect
25. #46290C2semidirect
26. #46283C2semidirect
27. #46202C2semidirect
28. #46198C2semidirect
29. #45919C2semidirect
30. #37410C2semidirect
31. #36989C2semidirect
32. #36968C2semidirect
33. #36959C2semidirect
34. #35639C2semidirect
35. #35606C2semidirect

Maximal subgroups

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

subgroupindex
#587082
#585992
#584432
#582342
#580472
#579522
#568412
#568302
#554882
#550832
#545812
#540292
#520602
#519862
#517292
#515992
#513902
#513742
#474542
#472092
#464682
#463162
#463152
#462952
#462902
#462832
#462022
#461982
#459192
#374102
#369892
#369682
#369592
#356392
#356062