Finite Group Databasebeta

← #9243627

Subgroups — #9243627

Order 512.

4151 conjugacy classes of subgroups.

The subgroup lattice has 2047 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59258C211yesmaximal, characteristic, complemented
2#58969C212yesmaximal, complemented
3#58712C212yesmaximal, complemented
4#58428C212yesmaximal, complemented
5#58413C212yesmaximal, complemented
6#58203C212yesmaximal, complemented
7#58155C212yesmaximal, complemented
8#56827C212yesmaximal, complemented
9#56490C212yesmaximal, complemented
10#55181C212yesmaximal, complemented
11#54337C212yesmaximal, complemented
12#53936C212yesmaximal, complemented
13#53571C212yesmaximal, complemented
14#52508C212yesmaximal, complemented
15#51892C212yesmaximal, complemented
16#51597C212yesmaximal, complemented
17#50507C212yesmaximal, complemented
18#49156C212yesmaximal, complemented
19#48934C212yesmaximal, complemented
20#48806C212yesmaximal, complemented
21#48626C212yesmaximal, complemented
22#47914C212yesmaximal, complemented
23#46869C212yesmaximal, complemented
24#46484C212yesmaximal, complemented
25#45809C211yesmaximal, characteristic, complemented
26#43622C212yesmaximal, complemented
27#42302C212yesmaximal, complemented
28#41411C212yesmaximal, complemented
29#41155C212yesmaximal, complemented
30#40634C212yesmaximal, complemented
31#39610C211yesmaximal, characteristic, complemented
32#39580C211yesmaximal, characteristic
33#39350C211yesmaximal, characteristic, complemented
34#37886C211yesmaximal, characteristic, complemented
35#37463C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#552C2212yes—
38C2×#542C2212yes—
39#2857C2211yescharacteristic
40#2855C2211yescharacteristic
41#2844C2212yes—
42#2843C2212yes—
43#2841C2212yes—
44#2841C2212yes—
45#2839C2212yes—
46#2839C2212yes—
47#2839C2212yes—
48#2839C2212yes—
49#2839C2212yes—
50#2838C2212yes—
51#2838C2212yes—
52#2835C2212yes—
53#2833C2212yes—
54#2831C2212yes—
55#2831C2212yes—
56#2831C2212yes—
57#2822C2212yes—
58#2820C2212yes—
59#2817C2212yes—
60#2810C2211yescharacteristic
61#2810C2211yescharacteristic
62#2808C2211yescharacteristic
63#2806C2212yes—
64#2806C2211yescharacteristic
65#2805C2211yescharacteristic
66#2805C2211yescharacteristic
67#2805C2212yes—
68#2802C2212yes—
69#2799C2212yes—
70#2799C2212yes—
71#2799C2212yes—
72#2796C2212yes—
73#2794C2212yes—
74#2794C2212yes—
75#2794C2212yes—
76#2793C2212yes—
77#2793C2212yes—
78#2791C2212yes—
79#2791C2212yes—
80#2790C2212yes—
81#2790C2212yes—
82#2788C2212yes—
83#2786C2212yes—
84#2784C2212yes—
85#2782C2212yes—
86#2781C2212yes—
87#2775C2212yes—
88#2774C2212yes—
89#2774C2212yes—
90#2774C2212yes—
91#2773C2212yes—
92#2770C2212yes—
93#2770C2212yes—
94#2770C2212yes—
95#2769C2212yes—
96#2768C2212yes—
97#2767C2212yes—
98#2767C2212yes—
99#2767C2212yes—
100#2764C2212yes—
101#2763C2212yes—
102#2763C2212yes—
103#2762C2212yes—
104#2762C2212yes—
105#2758C2212yes—
106#2758C2212yes—
107#2758C2212yes—
108#2758C2212yes—
109#2758C2212yes—
110#2757C2212yes—
111#2754C2212yes—
112#2754C2212yes—
113#2751C2212yes—
114#2750C2212yes—
115#2750C2212yes—
116#2750C2212yes—
117#2750C2212yes—
118#2747C2212yes—
119#2747C2212yes—
120#2745C2212yes—
121#2745C2212yes—
122#2744C2212yes—
123#2744C2212yes—
124#2743C2212yes—
125#2743C2212yes—
126#2742C2212yes—
127#2739C2212yes—
128#2739C2212yes—
129#2739C2212yes—
130#2739C2212yes—
131#2738C2212yes—
132#2737C2212yes—
133#2734C2212yes—
134#2732C2211yescharacteristic
135#2731C2212yes—
136#2730C2212yes—
137#2729C2212yes—
138#2728C2212yes—
139#2725C2212yes—
140#2720C2212yes—
141#2720C2212yes—
142#2720C2212yes—
143#2719C2212yes—
144#2719C2212yes—
145#2719C2212yes—
146#2717C2212yes—
147#2717C2212yes—
148#2713C2212yes—
149#2713C2212yes—
150#2713C2212yes—
151#2713C2212yes—
152#2713C2212yes—
153#2713C2212yes—
154#2713C2212yes—
155#2707C2212yes—
156#2704C2212yes—
157#2704C2212yes—
158#2704C2212yes—
159#2702C2212yes—
160#2700C2212yes—
161#2698C2212yes—
162#2698C2212yes—
163#2698C2212yes—
164#2698C2212yes—
165#2695C2212yes—
166#2695C2212yes—
167#2695C2212yes—
168#2695C2212yes—
169#2693C2212yes—
170#2693C2212yes—
171#2692C2212yes—
172#2692C2212yes—
173#2692C2212yes—
174#2692C2212yes—
175#2692C2212yes—
176#2692C2212yes—
177#2690C2212yes—
178#2690C2212yes—
179#2690C2212yes—
180#2690C2212yes—
181#2690C2212yes—
182#2689C2212yes—
183#2689C2212yes—
184#2688C2212yes—
185#2687C2212yes—
186#2687C2212yes—
187#2682C2211yescharacteristic
188#2680C2212yes—
189#2677C2212yes—
190#2677C2212yes—
191#2674C2212yes—
192#2667C2212yes—
193#2666C2212yes—
194#2666C2212yes—
195#2665C2212yes—
196#2665C2212yes—
197#2660C2212yes—
198#2659C2212yes—
199#2659C2211yescharacteristic
200#2659C2211yescharacteristic
201#2659C2212yes—
202#2659C2211yescharacteristic
203#2655C2212yes—
204#2654C2212yes—
205#2652C2212yes—
206#2651C2212yes—
207#2650C2212yes—
208#2650C2212yes—
209#2646C2211yescharacteristic
210#2643C2212yes—
211#2642C2212yes—
212#2639C2211yescharacteristic
213#2638C2212yes—
214#2635C2212yes—
215#2634C2212yes—
216#2634C2212yes—
217#2634C2212yes—
218#2628C2212yes—
219#2627C2212yes—
220#2627C2211yescharacteristic
221#2627C2211yescharacteristic
222#2625C2212yes—
223#2618C2211yescharacteristic
224#2611C2212yes—
225#2610C2212yes—
226#2605C2212yes—
227#2605C2212yes—
228#2600C2212yes—
229#2598C2212yes—
230#2590C2212yes—
231#2590C2212yes—
232#2588C2212yes—
233#2586C2212yes—
234#2586C2212yes—
235#2583C2212yes—
236#2581C2212yes—
237#2579C2212yes—
238#2578C2212yes—
239#2578C2212yes—
240#2577C2212yes—
241#2577C2212yes—
242#2575C2212yes—
243#2575C2212yes—
244#2575C2212yes—
245#2574C2212yes—
246#2574C2212yes—
247#2570C2212yes—
248#2564C2212yes—
249#2564C2212yes—
250#2562C2212yes—
251#2557C2212yes—
252#2557C2212yes—
253#2556C2212yes—
254#2552C2211yescharacteristic
255#2551C2211yescharacteristic
256#2549C2212yes—
257#2547C2212yes—
258#2547C2211yescharacteristic
259#2538C2211yescharacteristic
260#2533C2212yes—
261#2533C2212yes—
262#2530C2212yes—
263#2530C2212yes—
264#2529C2212yes—
265#2528C2212yes—
266#2525C2212yes—
267#2524C2212yes—
268#2521C2212yes—
269#2521C2212yes—
270#2520C2212yes—
271#2520C2212yes—
272#2520C2212yes—
273#2518C2212yes—
274#2515C2212yes—
275#2515C2212yes—
276#2511C2212yes—
277#2510C2212yes—
278#2506C2212yes—
279#2505C2212yes—
280#2505C2212yes—
281#2505C2212yes—
282#2503C2212yes—
283#2498C2212yes—
284#2496C2212yes—
285#2496C2212yes—
286#2495C2212yes—
287#2493C2212yes—
288#2493C2212yes—
289#2492C2212yes—
290#2489C2212yes—
291#2488C2212yes—
292#2488C2212yes—
293#2486C2212yes—
294#2485C2212yes—
295#2484C2212yes—
296#2481C2212yes—
297#2481C2212yes—
298#2481C2212yes—
299#2477C2212yes—
300#2475C2212yes—
301#2475C2212yes—
302#2473C2212yes—
303#2473C2212yes—
304#2469C2212yes—
305#2469C2212yes—
306#2469C2212yes—
307#2465C2212yes—
308#2465C2212yes—
309#2463C2212yes—
310#2463C2212yes—
311#2462C2212yes—
312#2462C2212yes—
313#2461C2212yes—
314#2460C2212yes—
315#2459C2212yes—
316#2457C2212yes—
317#2457C2212yes—
318#2455C2212yes—
319#2454C2212yes—
320#2451C2212yes—
321#2450C2212yes—
322#2450C2212yes—
323#2449C2212yes—
324#2449C2212yes—
325#2447C2212yes—
326#2446C2212yes—
327#2444C2212yes—
328#2444C2212yes—
329#2442C2212yes—
330#2440C2212yes—
331#2439C2212yes—
332#2438C2212yes—
333#2438C2212yes—
334#2438C2212yes—
335#2438C2212yes—
336#2438C2212yes—
337#2438C2212yes—
338#2429C2212yes—
339#2423C2212yes—
340#2422C2212yes—
341#2421C2212yes—
342#2419C2212yes—
343#2419C2212yes—
344#2419C2212yes—
345#2419C2212yes—
346#2419C2212yes—
347#2419C2212yes—
348#2417C2212yes—
349#2417C2212yes—
350#2417C2212yes—
351#2396C2212yes—
352C2×#400C2212yes—
353#2378C2212yes—
354#2378C2212yes—
355#2377C2212yes—
356#2368C2212yes—
357#2365C2211yescharacteristic
358#2364C2212yes—
359#2354C2212yes—
360#2353C2212yes—
361Q8×C4⋊C4C2211yescharacteristic
362D4×C4⋊C4C2211yescharacteristic
363D4×C4⋊C4C2211yescharacteristic
364#2343C2212yes—
365#2336C2212yes—
366#2329C2211yescharacteristic
367#2325C2211yescharacteristic
368#2325C2211yescharacteristic
369#2324C2212yes—
370#2318C2212yes—
371#2318C2212yes—
372#2318C2212yes—
373#2313C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×#121C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C2×#387C2211yescharacteristic
378#2285C2211yescharacteristic
379#554—48no—
380#552—48no—
381#542—48no—
382C2×C4⋊Q8C2311yescharacteristic
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#125C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×#121C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2312yes—
452C22×C42C2311yescharacteristic
453#401C2312yes—
454#401C2312yes—
455#400C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
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#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
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#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
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#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
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#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#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#392C2312yes—
699#392C2312yes—
700#392C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2311yescharacteristic
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2311yescharacteristic
716#391C2311yescharacteristic
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#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2311yescharacteristic
736#390C2312yes—
737#390C2311yescharacteristic
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2311yescharacteristic
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2311yescharacteristic
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2311yescharacteristic
760#389C2312yes—
761#389C2311yescharacteristic
762#389C2311yescharacteristic
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2311yescharacteristic
773#389C2312yes—
774#389C2312yes—
775#389C2311yescharacteristic
776#389C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#384C2312yes—
991#384C2312yes—
992#384C2311yescharacteristic
993#384C2311yescharacteristic
994#384C2312yes—
995#384C2311yescharacteristic
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2311yescharacteristic
1037#380C2311yescharacteristic
1038#380C2311yescharacteristic
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2311yescharacteristic
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2311yescharacteristic
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2312yes—
1056#380C2311yescharacteristic
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2311yescharacteristic
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090#376C2312yes—
1091#376C2312yes—
1092C2×#95C2311yescharacteristic
1093C2×#95C2311yescharacteristic
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2311yescharacteristic
1097C2×#95C2311yescharacteristic
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C22×Q8C2411yescharacteristic
1102C22×Q8C2412yes—
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×D4C2412yes—
1110C22×D4C2411yescharacteristic
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2411yescharacteristic
1115C23×C4C2412yes—
1116C23×C4C2411yescharacteristic
1117C23×C4C2412yes—
1118C23×C4C2412yes—
1119C23×C4C2412yes—
1120C23×C4C2411yescharacteristic
1121C23×C4C2411yescharacteristic
1122C23×C4C2412yes—
1123C23×C4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C23×C4C2411yescharacteristic
1132C4⋊Q8—42no—
1133C4⋊Q8—44no—
1134C4⋊Q8—44no—
1135C4⋊Q8—82no—
1136C4⋊Q8—82no—
1137#126—44no—
1138#126—44no—
1139#126—44no—
1140#126—44no—
1141#125—44no—
1142#125—44no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—82no—
1148#125—82no—
1149#124—44no—
1150#124—44no—
1151#124—44no—
1152#123—44no—
1153#123—44no—
1154#123—44no—
1155#123—44no—
1156#123—82no—
1157#123—82no—
1158C22⋊Q8—28no—
1159C22⋊Q8—24no—
1160C22⋊Q8—44no—
1161C22⋊Q8—44no—
1162C22⋊Q8—44no—
1163C22⋊Q8—44no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—42no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—82no—
1172C22⋊Q8—82no—
1173C22⋊Q8—82no—
1174C22⋊Q8—82no—
1175C22⋊Q8—82no—
1176#121—24no—
1177#121—28no—
1178#121—24no—
1179C4×Q8—42no—
1180C4×Q8—44no—
1181C4×Q8—44no—
1182C4×Q8—44no—
1183C4×D4—28no—
1184C4×D4—28no—
1185C4×D4—42no—
1186C4×D4—44no—
1187C4×D4—42no—
1188C4×D4—44no—
1189C4×D4—44no—
1190C4×D4—44no—
1191C4×D4—82no—
1192C4×D4—82no—
1193#117—28no—
1194#117—44no—
1195#117—44no—
1196#117—82no—
1197C2×C4⋊C4—24no—
1198C2×C4⋊C4—42no—
1199C2×C4⋊C4—44no—
1200C2×C4⋊C4—44no—
1201C2×C4⋊C4—82no—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2411yescharacteristic
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2411yescharacteristic
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1238C2×C4⋊C4C2411yescharacteristic
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊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×C42—42no—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2411yescharacteristic
1365C2×C42C2411yescharacteristic
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
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×C42C2411yescharacteristic
1386C2×C42C2411yescharacteristic
1387#95C2412yes—
1388#95C2412yes—
1389#95C2412yes—
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515C24C2512yes—
1516C24C2511yescharacteristic
1517C24C2512yes—
1518C2×Q8—22no—
1519C2×Q8—24no—
1520C2×Q8—41no—
1521C2×Q8—41no—
1522C2×Q8—42no—
1523C2×Q8—42no—
1524C2×Q8—42no—
1525C2×Q8—42no—
1526C2×Q8—42no—
1527C2×Q8—42no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—41no—
1532C2×Q8—42no—
1533C2×Q8—42no—
1534C2×Q8—41no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—41no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×D4—24no—
1543C2×D4—24no—
1544C2×D4—24no—
1545C2×D4—24no—
1546C2×D4—24no—
1547C2×D4—22no—
1548C2×D4—41no—
1549C2×D4—41no—
1550C2×D4—41no—
1551C2×D4—41no—
1552C2×D4—42no—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D42−1+414yes—
1560C22×C4—22no—
1561C22×C4—22no—
1562C22×C4—24no—
1563C22×C4—24no—
1564C22×C4—24no—
1565C22×C4—24no—
1566C22×C4—22no—
1567C22×C4—22no—
1568C22×C4—24no—
1569C22×C4—41no—
1570C22×C4—41no—
1571C22×C4—41no—
1572C22×C4—42no—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—41no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—41no—
1580C22×C4—42no—
1581C22×C4—41no—
1582C22×C4—41no—
1583C22×C4—42no—
1584C22×C4—41no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—41no—
1590C22×C4—41no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—41no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—41no—
1601C22×C4—42no—
1602C22×C4—41no—
1603C22×C4—41no—
1604C22×C4—41no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—41no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4H(5,𝔽2)14yes—
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×C4C2511yescharacteristic
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2511yescharacteristic
1640C22×C4C2511yescharacteristic
1641C22×C4C2511yescharacteristic
1642C22×C4C2511yescharacteristic
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—22no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—22no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—22no—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—41no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—41no—
1672C4⋊C4—41no—
1673C4⋊C4—41no—
1674C4⋊C4—41no—
1675C4⋊C4—41no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
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—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—41no—
1696C4⋊C4—41no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—41no—
1702C4⋊C4—41no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—41no—
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—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—42no—
1734C4⋊C4—42no—
1735C4⋊C4—41no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—41no—
1745C4⋊C4—41no—
1746C4⋊C4—41no—
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—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
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—
1801C42—24no—
1802C42—24no—
1803C42—24no—
1804C42—24no—
1805C42—22no—
1806C42—22no—
1807C42—41no—
1808C42—41no—
1809C42—42no—
1810C42—42no—
1811C42—42no—
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—
1827C23—22no—
1828C23—21no—
1829C23—22no—
1830C23—21no—
1831C23—22no—
1832C23—21no—
1833C23—21no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—21no—
1838C23—21no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23C2×H(5,𝔽2)12yes—
1847C23C2×2−1+414yes—
1848C23C2611yescharacteristic
1849Q8—44no—
1850Q8—84no—
1851Q8—84no—
1852Q8—162no—
1853Q8—161no—
1854Q8—162no—
1855Q8—162no—
1856Q8—162no—
1857D4—44no—
1858D4—44no—
1859D4—48no—
1860D4—84no—
1861D4—84no—
1862D4—84no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—21no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
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—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—21no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—21no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—21no—
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—21no—
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—21no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—21no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—44no—
1956C2×C4—84no—
1957C2×C4—82no—
1958C2×C4—84no—
1959C2×C4—82no—
1960C2×C4—84no—
1961C2×C4—82no—
1962C2×C4—82no—
1963C2×C4—84no—
1964C2×C4—84no—
1965C2×C4—84no—
1966C2×C4—161no—
1967C2×C4—162no—
1968C2×C4—161no—
1969C2×C4—162no—
1970C2×C4—162no—
1971C2×C4—162no—
1972C2×C4C2×H(5,𝔽2)12yes—
1973C2×C4C2×H(5,𝔽2)12yes—
1974C2×C4C2×2−1+412yes—
1975C2×C4#58512yes—
1976C22—24no—
1977C22—22no—
1978C22—22no—
1979C22—24no—
1980C22—24no—
1981C22—22no—
1982C22—41no—
1983C22—42no—
1984C22—41no—
1985C22—41no—
1986C22—42no—
1987C22—42no—
1988C22—42no—
1989C22—41no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22C22×H(5,𝔽2)11yescharacteristic
1998C22C22×2−1+411yescharacteristic
1999C22C2×#58511yescharacteristic
2000C22H(7,𝔽2)11yescharacteristic
2001C222−1+611yescharacteristic
2002C222−1+611yescharacteristic
2003C222−1+611yescharacteristic
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—22no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—42no—
2012C4—42no—
2013C4—42no—
2014C4—41no—
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—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C2—44no—
2037C2—42no—
2038C2—82no—
2039C2#6287211yescharacteristic
2040C2#6287811yescharacteristic
2041C2#6290111yescharacteristic
2042C2#6290411yescharacteristic
2043C2#6294211yescharacteristic
2044C2#6297911yescharacteristic
2045C2#6305811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39580C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59258C2semidirect
2. #58969C2semidirect
3. #58712C2semidirect
4. #58428C2semidirect
5. #58413C2semidirect
6. #58203C2semidirect
7. #58155C2semidirect
8. #56827C2semidirect
9. #56490C2semidirect
10. #55181C2semidirect
11. #54337C2semidirect
12. #53936C2semidirect
13. #53571C2semidirect
14. #52508C2semidirect
15. #51892C2semidirect
16. #51597C2semidirect
17. #50507C2semidirect
18. #49156C2semidirect
19. #48934C2semidirect
20. #48806C2semidirect
21. #48626C2semidirect
22. #47914C2semidirect
23. #46869C2semidirect
24. #46484C2semidirect
25. #45809C2semidirect
26. #43622C2semidirect
27. #42302C2semidirect
28. #41411C2semidirect
29. #41155C2semidirect
30. #40634C2semidirect
31. #39610C2semidirect
33. #39350C2semidirect
34. #37886C2semidirect
35. #37463C2semidirect

Maximal subgroups

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

subgroupindex
#592582
#589692
#587122
#584282
#584132
#582032
#581552
#568272
#564902
#551812
#543372
#539362
#535712
#525082
#518922
#515972
#505072
#491562
#489342
#488062
#486262
#479142
#468692
#464842
#458092
#436222
#423022
#414112
#411552
#406342
#396102
#395802
#393502
#378862
#374632