Finite Group Databasebeta

← #9243807

Subgroups — #9243807

Order 512.

4071 conjugacy classes of subgroups.

The subgroup lattice has 2030 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59244C211yesmaximal, characteristic, complemented
2#58640C212yesmaximal, complemented
3#58426C212yesmaximal, complemented
4#58102C212yesmaximal, complemented
5#57552C212yesmaximal, complemented
6#57053C212yesmaximal, complemented
7#57010C212yesmaximal, complemented
8#56755C212yesmaximal, complemented
9#56432C212yesmaximal, complemented
10#55665C212yesmaximal, complemented
11#55596C212yesmaximal, complemented
12#54151C212yesmaximal, complemented
13#54023C212yesmaximal
14#52527C212yesmaximal, complemented
15#52026C212yesmaximal, complemented
16#51697C212yesmaximal, complemented
17#51528C212yesmaximal, complemented
18#50556C212yesmaximal, complemented
19#48968C212yesmaximal, complemented
20#48950C212yesmaximal, complemented
21#48809C212yesmaximal, complemented
22#48616C212yesmaximal, complemented
23#47412C212yesmaximal, complemented
24#46680C212yesmaximal, complemented
25#45809C211yesmaximal, characteristic, complemented
26#44009C212yesmaximal, complemented
27#42315C212yesmaximal, complemented
28#41418C212yesmaximal, complemented
29#41163C212yesmaximal, complemented
30#41024C212yesmaximal, complemented
31#39581C211yesmaximal, characteristic, complemented
32#39482C211yesmaximal, characteristic
33#39353C211yesmaximal, characteristic, complemented
34#37885C211yesmaximal, characteristic, complemented
35#37460C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#551C2212yes—
38C2×#541C2212yes—
39#2857C2211yescharacteristic
40#2855C2211yescharacteristic
41#2841C2212yescomplemented
42#2839C2212yescomplemented
43#2838C2212yes—
44#2838C2212yescomplemented
45#2837C2212yes—
46#2836C2212yes—
47#2836C2212yescomplemented
48#2836C2212yescomplemented
49#2833C2212yescomplemented
50#2831C2212yes—
51#2831C2212yescomplemented
52#2831C2212yescomplemented
53#2830C2212yes—
54#2830C2212yes—
55#2827C2212yes—
56#2821C2212yes—
57#2821C2212yes—
58#2821C2212yescomplemented
59#2817C2212yes—
60#2810C2211yescharacteristic, complemented
61#2809C2211yescharacteristic, complemented
62#2808C2212yes—
63#2806C2211yescharacteristic, complemented
64#2805C2211yescharacteristic, complemented
65#2805C2211yescharacteristic, complemented
66#2805C2211yescharacteristic, complemented
67#2804C2211yescharacteristic, complemented
68#2802C2212yescomplemented
69#2802C2212yescomplemented
70#2802C2212yescomplemented
71#2802C2212yescomplemented
72#2800C2212yes—
73#2798C2212yes—
74#2798C2212yescomplemented
75#2795C2212yes—
76#2795C2212yes—
77#2794C2212yescomplemented
78#2794C2212yescomplemented
79#2794C2212yescomplemented
80#2793C2212yes—
81#2793C2212yes—
82#2793C2212yescomplemented
83#2792C2212yescomplemented
84#2792C2212yescomplemented
85#2791C2212yescomplemented
86#2791C2212yescomplemented
87#2791C2212yescomplemented
88#2791C2212yescomplemented
89#2790C2212yes—
90#2790C2212yes—
91#2790C2212yes—
92#2790C2212yes—
93#2788C2212yescomplemented
94#2787C2212yes—
95#2787C2212yes—
96#2787C2212yes—
97#2787C2212yes—
98#2786C2212yes—
99#2783C2212yescomplemented
100#2782C2212yes—
101#2780C2212yes—
102#2779C2212yes—
103#2777C2212yescomplemented
104#2776C2212yescomplemented
105#2776C2212yescomplemented
106#2776C2212yescomplemented
107#2776C2212yescomplemented
108#2775C2212yes—
109#2774C2212yescomplemented
110#2773C2212yes—
111#2773C2212yescomplemented
112#2771C2212yes—
113#2770C2212yes—
114#2770C2212yes—
115#2770C2212yes—
116#2768C2212yescomplemented
117#2768C2212yescomplemented
118#2767C2212yescomplemented
119#2766C2212yescomplemented
120#2766C2212yescomplemented
121#2762C2212yescomplemented
122#2762C2212yescomplemented
123#2758C2212yescomplemented
124#2756C2212yes—
125#2754C2212yes—
126#2754C2212yes—
127#2752C2212yes—
128#2750C2212yes—
129#2747C2212yes—
130#2747C2212yescomplemented
131#2747C2212yescomplemented
132#2746C2212yes—
133#2742C2212yes—
134#2741C2212yes—
135#2740C2212yescomplemented
136#2739C2212yescomplemented
137#2738C2212yescomplemented
138#2737C2212yes—
139#2731C2212yes—
140#2729C2212yes—
141#2726C2212yescomplemented
142#2725C2212yes—
143#2725C2212yes—
144#2724C2211yescharacteristic, complemented
145#2722C2212yes—
146#2722C2212yes—
147#2722C2212yes—
148#2722C2212yes—
149#2722C2212yes—
150#2721C2212yes—
151#2721C2212yes—
152#2721C2212yes—
153#2720C2212yescomplemented
154#2720C2212yescomplemented
155#2719C2212yescomplemented
156#2719C2212yescomplemented
157#2718C2212yes—
158#2718C2212yes—
159#2718C2212yes—
160#2718C2212yes—
161#2717C2212yes—
162#2717C2212yes—
163#2716C2212yes—
164#2715C2212yes—
165#2715C2212yes—
166#2715C2212yes—
167#2715C2212yes—
168#2715C2212yes—
169#2715C2212yes—
170#2713C2212yescomplemented
171#2713C2212yescomplemented
172#2713C2212yescomplemented
173#2713C2212yescomplemented
174#2710C2212yes—
175#2708C2212yes—
176#2707C2212yes—
177#2707C2212yes—
178#2707C2212yescomplemented
179#2705C2212yes—
180#2695C2212yes—
181#2695C2212yes—
182#2694C2212yes—
183#2694C2212yes—
184#2694C2212yescomplemented
185#2690C2212yes—
186#2689C2212yes—
187#2685C2212yes—
188#2685C2212yes—
189#2684C2212yes—
190#2684C2212yes—
191#2674C2212yes—
192#2667C2212yescomplemented
193#2666C2212yescomplemented
194#2665C2212yes—
195#2664C2212yes—
196#2664C2212yescomplemented
197#2663C2212yes—
198#2660C2212yescomplemented
199#2659C2211yescharacteristic
200#2655C2212yescomplemented
201#2654C2212yes—
202#2653C2212yes—
203#2653C2212yes—
204#2652C2212yes—
205#2652C2212yes—
206#2651C2212yes—
207#2650C2212yes—
208#2650C2212yes—
209#2649C2212yes—
210#2646C2211yescharacteristic
211#2646C2211yescharacteristic
212#2638C2212yes—
213#2637C2212yes—
214#2637C2212yes—
215#2637C2212yescomplemented
216#2634C2212yescomplemented
217#2628C2212yes—
218#2626C2211yescharacteristic
219#2626C2211yescharacteristic
220#2626C2211yescharacteristic
221#2625C2212yes—
222#2618C2211yescharacteristic
223#2617C2211yescharacteristic
224#2606C2212yescomplemented
225#2605C2212yescomplemented
226#2604C2212yescomplemented
227#2601C2212yes—
228#2599C2212yes—
229#2599C2212yescomplemented
230#2596C2212yescomplemented
231#2594C2212yes—
232#2594C2212yes—
233#2594C2212yescomplemented
234#2590C2212yescomplemented
235#2590C2212yescomplemented
236#2589C2212yescomplemented
237#2588C2212yescomplemented
238#2588C2212yescomplemented
239#2587C2212yes—
240#2587C2212yes—
241#2586C2212yescomplemented
242#2585C2212yescomplemented
243#2585C2212yescomplemented
244#2581C2212yescomplemented
245#2578C2212yes—
246#2578C2212yes—
247#2577C2212yes—
248#2577C2212yes—
249#2577C2212yes—
250#2577C2212yescomplemented
251#2576C2212yes—
252#2575C2212yes—
253#2574C2212yes—
254#2569C2212yescomplemented
255#2567C2212yescomplemented
256#2564C2212yes—
257#2564C2212yes—
258#2554C2212yes—
259#2552C2211yescharacteristic, complemented
260#2552C2212yescomplemented
261#2551C2211yescharacteristic, complemented
262#2546C2211yescharacteristic, complemented
263#2538C2211yescharacteristic, complemented
264#2533C2212yescomplemented
265#2533C2212yescomplemented
266#2532C2212yes—
267#2531C2212yescomplemented
268#2530C2212yes—
269#2530C2212yes—
270#2530C2212yes—
271#2530C2212yescomplemented
272#2529C2212yes—
273#2528C2212yescomplemented
274#2527C2212yes—
275#2527C2212yescomplemented
276#2526C2212yes—
277#2525C2212yes—
278#2525C2212yes—
279#2524C2212yescomplemented
280#2523C2212yescomplemented
281#2522C2212yescomplemented
282#2522C2212yescomplemented
283#2521C2212yes—
284#2521C2212yes—
285#2519C2212yes—
286#2519C2212yes—
287#2512C2212yescomplemented
288#2511C2212yescomplemented
289#2507C2212yescomplemented
290#2506C2212yescomplemented
291#2505C2212yes—
292#2505C2212yescomplemented
293#2498C2212yes—
294#2498C2212yes—
295#2497C2212yescomplemented
296#2497C2212yescomplemented
297#2496C2212yes—
298#2496C2212yes—
299#2496C2212yes—
300#2496C2212yes—
301#2496C2212yes—
302#2493C2212yescomplemented
303#2491C2212yes—
304#2485C2212yes—
305#2482C2212yes—
306#2480C2212yes—
307#2480C2212yes—
308#2480C2212yes—
309#2480C2212yes—
310#2480C2212yes—
311#2480C2212yes—
312#2480C2212yes—
313#2478C2212yes—
314#2478C2212yes—
315#2478C2212yes—
316#2478C2212yes—
317#2478C2212yes—
318#2477C2212yes—
319#2475C2212yes—
320#2475C2212yescomplemented
321#2475C2212yescomplemented
322#2473C2212yes—
323#2473C2212yes—
324#2470C2212yes—
325#2470C2212yes—
326#2469C2212yes—
327#2469C2212yes—
328#2469C2212yes—
329#2469C2212yes—
330#2469C2212yescomplemented
331#2469C2212yescomplemented
332#2466C2212yes—
333#2465C2212yes—
334#2465C2212yes—
335#2462C2212yescomplemented
336#2462C2212yescomplemented
337#2462C2212yescomplemented
338#2460C2212yes—
339#2458C2212yes—
340#2455C2212yes—
341#2454C2212yes—
342#2453C2212yescomplemented
343#2448C2212yes—
344#2446C2212yescomplemented
345#2441C2212yes—
346#2441C2212yescomplemented
347#2439C2212yescomplemented
348#2423C2212yes—
349#2421C2212yescomplemented
350#2412C2212yes—
351#2399C2212yescomplemented
352#2395C2212yes—
353#2383C2212yes—
354#2383C2212yes—
355#2378C2212yes—
356#2374C2212yes—
357#2373C2212yes—
358#2365C2212yescomplemented
359#2365C2211yescharacteristic, complemented
360#2359C2212yescomplemented
361#2354C2211yescharacteristic, complemented
362Q8×C4⋊C4C2211yescharacteristic, complemented
363Q8×C4⋊C4C2211yescharacteristic, complemented
364#2343C2212yes—
365#2336C2212yescomplemented
366#2336C2212yescomplemented
367#2330C2212yescomplemented
368#2329C2211yescharacteristic
369#2318C2212yes—
370#2316C2211yescharacteristic
371#2315C2211yescharacteristic
372#2314C2212yescomplemented
373#2312C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×C22⋊Q8C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C2×#388C2211yescharacteristic
378#2285C2211yescharacteristic
379#556—48no—
380#551—48no—
381#541—48no—
382C2×C4⋊Q8C2312yes—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2311yescharacteristic
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×#121C2311yescharacteristic
422C2×#120C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2311yescharacteristic
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C22×C4⋊C4C2311yescharacteristic
439C22×C22⋊C4C2311yescharacteristic
440C22×C22⋊C4C2311yescharacteristic
441C22×C22⋊C4C2311yescharacteristic
442C22×C22⋊C4C2312yes—
443C22×C42C2311yescharacteristic
444#401C2312yes—
445#401C2312yes—
446#401C2312yes—
447#401C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#400C2312yes—
453#400C2312yes—
454#400C2312yes—
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#399C2312yes—
500#399C2312yes—
501#399C2312yes—
502#399C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
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#397C2312yes—
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#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
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#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#395C2312yes—
661#395C2312yes—
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#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#392C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2311yescharacteristic
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2311yescharacteristic
705#391C2311yescharacteristic
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2311yescharacteristic
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2311yescharacteristic
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2311yescharacteristic
726#389C2312yes—
727#389C2312yes—
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#389C2311yescharacteristic
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2311yescharacteristic
753#389C2312yes—
754#389C2311yescharacteristic
755#389C2311yescharacteristic
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2311yescharacteristic
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2311yescharacteristic
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#388C2312yes—
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#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#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#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#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#384C2312yes—
1002#384C2312yes—
1003#384C2312yes—
1004#384C2311yescharacteristic
1005#384C2311yescharacteristic
1006#384C2312yes—
1007#384C2312yes—
1008#384C2312yes—
1009#384C2311yescharacteristic
1010#384C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#383C2312yes—
1014#383C2312yes—
1015#383C2312yes—
1016#383C2312yes—
1017#383C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2311yescharacteristic
1033#380C2311yescharacteristic
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2311yescharacteristic
1039#380C2311yescharacteristic
1040#380C2311yescharacteristic
1041#380C2311yescharacteristic
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2311yescharacteristic
1048#380C2311yescharacteristic
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#379C2312yes—
1056#379C2312yes—
1057#379C2312yes—
1058#379C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊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—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2312yes—
1100C2×#95C2311yescharacteristic
1101C25C2411yescharacteristic
1102C22×Q8C2411yescharacteristic
1103C22×Q8C2411yescharacteristic
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×D4C2412yes—
1109C22×D4C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C23×C4C2411yescharacteristic
1113C23×C4C2411yescharacteristic
1114C23×C4C2411yescharacteristic
1115C23×C4C2412yes—
1116C23×C4C2411yescharacteristic
1117C23×C4C2412yes—
1118C23×C4C2412yes—
1119C23×C4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2411yescharacteristic
1123C4⋊Q8—42no—
1124C4⋊Q8—44no—
1125C4⋊Q8—44no—
1126C4⋊Q8—44no—
1127#126—44no—
1128#126—44no—
1129#126—44no—
1130#126—44no—
1131#126—44no—
1132#126—44no—
1133#126—44no—
1134#126—44no—
1135#126—44no—
1136#126—44no—
1137#126—44no—
1138#126—44no—
1139#126—44no—
1140#125—44no—
1141#125—44no—
1142#125—44no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#124—44no—
1149#124—44no—
1150#124—44no—
1151#123—44no—
1152#123—44no—
1153#123—44no—
1154#123—44no—
1155#123—44no—
1156C22⋊Q8—24no—
1157C22⋊Q8—28no—
1158C22⋊Q8—24no—
1159C22⋊Q8—44no—
1160C22⋊Q8—42no—
1161C22⋊Q8—44no—
1162#121—42no—
1163#120—44no—
1164C4×Q8—42no—
1165C4×Q8—42no—
1166C4×Q8—44no—
1167C4×Q8—44no—
1168C4×Q8—44no—
1169C4×Q8—44no—
1170C4×Q8—44no—
1171C4×D4—28no—
1172C4×D4—42no—
1173C4×D4—44no—
1174#117—28no—
1175#117—44no—
1176#117—44no—
1177#117—44no—
1178#117—44no—
1179C2×C4⋊C4—42no—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2411yescharacteristic
1183C2×C4⋊C4C2412yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2411yescharacteristic
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2411yescharacteristic
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1213C2×C4⋊C4C2411yescharacteristic
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2411yescharacteristic
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2411yescharacteristic
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2411yescharacteristic
1254C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C22⋊C4—24no—
1290C2×C22⋊C4—42no—
1291C2×C22⋊C4—42no—
1292C2×C22⋊C4—44no—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊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×C42—42no—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2411yescharacteristic
1360C2×C42C2411yescharacteristic
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
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×C42C2411yescharacteristic
1385C2×C42C2411yescharacteristic
1386#95C2412yes—
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—
1506C24—22no—
1507C24—41no—
1508C24—41no—
1509C24—41no—
1510C24—41no—
1511C24—41no—
1512C24—41no—
1513C24C2512yes—
1514C24C2512yes—
1515C24C2511yescharacteristic
1516C2×Q8—22no—
1517C2×Q8—22no—
1518C2×Q8—24no—
1519C2×Q8—41no—
1520C2×Q8—41no—
1521C2×Q8—41no—
1522C2×Q8—41no—
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—41no—
1533C2×Q8—41no—
1534C2×D4—24no—
1535C2×D4—22no—
1536C2×D4—42no—
1537C2×D4—41no—
1538C2×D4—42no—
1539C2×D4—41no—
1540C2×D4—42no—
1541C2×D4—42no—
1542C2×D4—42no—
1543C2×D4—42no—
1544C2×D4—42no—
1545C2×D4—42no—
1546C22×C4—22no—
1547C22×C4—24no—
1548C22×C4—22no—
1549C22×C4—22no—
1550C22×C4—41no—
1551C22×C4—41no—
1552C22×C4—41no—
1553C22×C4—41no—
1554C22×C4—41no—
1555C22×C4—42no—
1556C22×C4—42no—
1557C22×C4—42no—
1558C22×C4—42no—
1559C22×C4—41no—
1560C22×C4—41no—
1561C22×C4—41no—
1562C22×C4—42no—
1563C22×C4—42no—
1564C22×C4—42no—
1565C22×C4—42no—
1566C22×C4—42no—
1567C22×C4—41no—
1568C22×C4—41no—
1569C22×C4—41no—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—42no—
1573C22×C4—41no—
1574C22×C4—41no—
1575C22×C4—42no—
1576C22×C4—42no—
1577C22×C4—41no—
1578C22×C4H(5,𝔽2)14yes—
1579C22×C4C2512yes—
1580C22×C4C2512yes—
1581C22×C4C2511yescharacteristic
1582C22×C4C2512yes—
1583C22×C4C2512yes—
1584C22×C4C2512yes—
1585C22×C4C2512yes—
1586C22×C4C2512yes—
1587C22×C4C2512yes—
1588C22×C4C2512yes—
1589C22×C4C2511yescharacteristic
1590C22×C4C2512yes—
1591C22×C4C2512yes—
1592C22×C4C2512yes—
1593C22×C4C2512yes—
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2512yes—
1599C22×C4C2512yes—
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2511yescharacteristic
1608C22×C4C2511yescharacteristic
1609C22×C4C2511yescharacteristic
1610C22×C4C2511yescharacteristic
1611C4⋊C4—24no—
1612C4⋊C4—24no—
1613C4⋊C4—22no—
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—22no—
1618C4⋊C4—24no—
1619C4⋊C4—24no—
1620C4⋊C4—24no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—24no—
1624C4⋊C4—22no—
1625C4⋊C4—24no—
1626C4⋊C4—24no—
1627C4⋊C4—24no—
1628C4⋊C4—24no—
1629C4⋊C4—42no—
1630C4⋊C4—41no—
1631C4⋊C4—41no—
1632C4⋊C4—41no—
1633C4⋊C4—42no—
1634C4⋊C4—41no—
1635C4⋊C4—42no—
1636C4⋊C4—41no—
1637C4⋊C4—41no—
1638C4⋊C4—41no—
1639C4⋊C4—42no—
1640C4⋊C4—42no—
1641C4⋊C4—42no—
1642C4⋊C4—42no—
1643C4⋊C4—42no—
1644C4⋊C4—41no—
1645C4⋊C4—42no—
1646C4⋊C4—42no—
1647C4⋊C4—42no—
1648C4⋊C4—42no—
1649C4⋊C4—42no—
1650C4⋊C4—42no—
1651C4⋊C4—42no—
1652C4⋊C4—42no—
1653C4⋊C4—42no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—41no—
1670C4⋊C4—41no—
1671C4⋊C4—41no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—41no—
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—42no—
1688C4⋊C4—41no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
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—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—41no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C22⋊C4—24no—
1721C22⋊C4—24no—
1722C22⋊C4—24no—
1723C22⋊C4—24no—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—24no—
1727C22⋊C4—24no—
1728C22⋊C4—24no—
1729C22⋊C4—24no—
1730C22⋊C4—24no—
1731C22⋊C4—24no—
1732C22⋊C4—24no—
1733C22⋊C4—42no—
1734C22⋊C4—42no—
1735C22⋊C4—42no—
1736C22⋊C4—42no—
1737C22⋊C4—42no—
1738C22⋊C4—42no—
1739C22⋊C4—42no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4—42no—
1749C22⋊C4—42no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
1755C22⋊C4—42no—
1756C22⋊C4—42no—
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—
1781C42—24no—
1782C42—24no—
1783C42—24no—
1784C42—22no—
1785C42—22no—
1786C42—24no—
1787C42—24no—
1788C42—41no—
1789C42—41no—
1790C42—42no—
1791C42—42no—
1792C42—42no—
1793C42—42no—
1794C42—42no—
1795C42—42no—
1796C42—42no—
1797C42—42no—
1798C42—42no—
1799C42—42no—
1800C42—42no—
1801C42—42no—
1802C42—42no—
1803C42—42no—
1804C42—42no—
1805C42—42no—
1806C42—42no—
1807C42—42no—
1808C42—42no—
1809C42—42no—
1810C42—42no—
1811C42—42no—
1812C23—21no—
1813C23—21no—
1814C23—21no—
1815C23—21no—
1816C23—21no—
1817C23—21no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—22no—
1823C23—22no—
1824C23—22no—
1825C23—22no—
1826C23—22no—
1827C23—22no—
1828C23—22no—
1829C23—22no—
1830C23—22no—
1831C23—22no—
1832C23—44no—
1833C23—82no—
1834C23—82no—
1835C23—161no—
1836C23—161no—
1837C23—161no—
1838C23—161no—
1839C23C2×H(5,𝔽2)12yes—
1840C23C2611yescharacteristic
1841Q8—44no—
1842Q8—44no—
1843Q8—84no—
1844Q8—84no—
1845Q8—84no—
1846Q8—161no—
1847D4—82no—
1848D4—84no—
1849D4—84no—
1850D4—162no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—21no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—21no—
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—21no—
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—21no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—21no—
1942C2×C4—22no—
1943C2×C4—44no—
1944C2×C4—44no—
1945C2×C4—82no—
1946C2×C4—84no—
1947C2×C4—82no—
1948C2×C4—84no—
1949C2×C4—84no—
1950C2×C4—162no—
1951C2×C4—161no—
1952C2×C4—162no—
1953C2×C4—161no—
1954C2×C4C2×H(5,𝔽2)12yes—
1955C2×C4C2×H(5,𝔽2)12yes—
1956C2×C4#58512yes—
1957C2×C4#58512yes—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—41no—
1962C22—41no—
1963C22—41no—
1964C22—41no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—42no—
1971C22—42no—
1972C22—42no—
1973C22—42no—
1974C22—42no—
1975C22—42no—
1976C22—42no—
1977C22—42no—
1978C22—42no—
1979C22—164no—
1980C22C22×H(5,𝔽2)11yescharacteristic
1981C22C2×#58511yescharacteristic
1982C22C2×#58511yescharacteristic
1983C222−1+611yescharacteristic
1984C222−1+611yescharacteristic
1985C222−1+611yescharacteristic
1986C222−1+611yescharacteristic
1987C4—22no—
1988C4—22no—
1989C4—22no—
1990C4—22no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—42no—
1997C4—41no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—41no—
2011C4—42no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—42no—
2019C2—42no—
2020C2—82no—
2021C2—82no—
2022C2#6287311yescharacteristic
2023C2#6288811yescharacteristic
2024C2#6290111yescharacteristic
2025C2#6291111yescharacteristic
2026C2#6292511yescharacteristic
2027C2#6298011yescharacteristic
2028C2#6306211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2617C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59244C2semidirect
2. #58640C2semidirect
3. #58426C2semidirect
4. #58102C2semidirect
5. #57552C2semidirect
6. #57053C2semidirect
7. #57010C2semidirect
8. #56755C2semidirect
9. #56432C2semidirect
10. #55665C2semidirect
11. #55596C2semidirect
12. #54151C2semidirect
14. #52527C2semidirect
15. #52026C2semidirect
16. #51697C2semidirect
17. #51528C2semidirect
18. #50556C2semidirect
19. #48968C2semidirect
20. #48950C2semidirect
21. #48809C2semidirect
22. #48616C2semidirect
23. #47412C2semidirect
24. #46680C2semidirect
25. #45809C2semidirect
26. #44009C2semidirect
27. #42315C2semidirect
28. #41418C2semidirect
29. #41163C2semidirect
30. #41024C2semidirect
31. #39581C2semidirect
33. #39353C2semidirect
34. #37885C2semidirect
35. #37460C2semidirect
41. #2841C22semidirect
42. #2839C22semidirect
44. #2838C22semidirect
47. #2836C22semidirect
48. #2836C22semidirect
49. #2833C22semidirect
51. #2831C22semidirect
52. #2831C22semidirect
58. #2821C22semidirect
60. #2810C22semidirect
61. #2809C22semidirect
63. #2806C22semidirect
64. #2805C22semidirect
65. #2805C22semidirect
66. #2805C22semidirect
67. #2804C22semidirect
68. #2802C22semidirect
69. #2802C22semidirect
70. #2802C22semidirect
71. #2802C22semidirect
74. #2798C22semidirect
77. #2794C22semidirect
78. #2794C22semidirect
79. #2794C22semidirect
82. #2793C22semidirect
83. #2792C22semidirect
84. #2792C22semidirect
85. #2791C22semidirect
86. #2791C22semidirect
87. #2791C22semidirect
88. #2791C22semidirect
93. #2788C22semidirect
99. #2783C22semidirect
103. #2777C22semidirect
104. #2776C22semidirect
105. #2776C22semidirect
106. #2776C22semidirect
107. #2776C22semidirect
109. #2774C22semidirect
111. #2773C22semidirect
116. #2768C22semidirect
117. #2768C22semidirect
118. #2767C22semidirect
119. #2766C22semidirect
120. #2766C22semidirect
121. #2762C22semidirect
122. #2762C22semidirect
123. #2758C22semidirect
130. #2747C22semidirect
131. #2747C22semidirect
135. #2740C22semidirect
136. #2739C22semidirect
137. #2738C22semidirect
141. #2726C22semidirect
144. #2724C22semidirect
153. #2720C22semidirect
154. #2720C22semidirect
155. #2719C22semidirect
156. #2719C22semidirect
170. #2713C22semidirect
171. #2713C22semidirect
172. #2713C22semidirect
173. #2713C22semidirect
178. #2707C22semidirect
184. #2694C22semidirect
192. #2667C22semidirect
193. #2666C22semidirect
196. #2664C22semidirect
198. #2660C22semidirect
200. #2655C22semidirect
215. #2637C22semidirect
216. #2634C22semidirect
224. #2606C22semidirect
225. #2605C22semidirect
226. #2604C22semidirect
229. #2599C22semidirect
230. #2596C22semidirect
233. #2594C22semidirect
234. #2590C22semidirect
235. #2590C22semidirect
236. #2589C22semidirect
237. #2588C22semidirect
238. #2588C22semidirect
241. #2586C22semidirect
242. #2585C22semidirect
243. #2585C22semidirect
244. #2581C22semidirect
250. #2577C22semidirect
254. #2569C22semidirect
255. #2567C22semidirect
259. #2552C22semidirect
260. #2552C22semidirect
261. #2551C22semidirect
262. #2546C22semidirect
263. #2538C22semidirect
264. #2533C22semidirect
265. #2533C22semidirect
267. #2531C22semidirect
271. #2530C22semidirect
273. #2528C22semidirect
275. #2527C22semidirect
279. #2524C22semidirect
280. #2523C22semidirect
281. #2522C22semidirect
282. #2522C22semidirect
287. #2512C22semidirect
288. #2511C22semidirect
289. #2507C22semidirect
290. #2506C22semidirect
292. #2505C22semidirect
295. #2497C22semidirect
296. #2497C22semidirect
302. #2493C22semidirect
320. #2475C22semidirect
321. #2475C22semidirect
330. #2469C22semidirect
331. #2469C22semidirect
335. #2462C22semidirect
336. #2462C22semidirect
337. #2462C22semidirect
342. #2453C22semidirect
344. #2446C22semidirect
346. #2441C22semidirect
347. #2439C22semidirect
349. #2421C22semidirect
351. #2399C22semidirect
358. #2365C22semidirect
359. #2365C22semidirect
360. #2359C22semidirect
361. #2354C22semidirect
362. Q8×C4⋊C4C22semidirect
363. Q8×C4⋊C4C22semidirect
365. #2336C22semidirect
366. #2336C22semidirect
367. #2330C22semidirect
372. #2314C22semidirect

Maximal subgroups

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

subgroupindex
#592442
#586402
#584262
#581022
#575522
#570532
#570102
#567552
#564322
#556652
#555962
#541512
#540232
#525272
#520262
#516972
#515282
#505562
#489682
#489502
#488092
#486162
#474122
#466802
#458092
#440092
#423152
#414182
#411632
#410242
#395812
#394822
#393532
#378852
#374602