Finite Group Databasebeta

← #8943903

Subgroups — #8943903

Order 512.

4334 conjugacy classes of subgroups.

The subgroup lattice has 2106 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58760C212yesmaximal, complemented
2#58757C212yesmaximal, complemented
3#57515C212yesmaximal, complemented
4#57044C212yesmaximal, complemented
5#55259C212yesmaximal, complemented
6#54679C212yesmaximal, complemented
7#52075C211yesmaximal, characteristic, complemented
8#51683C212yesmaximal, complemented
9#51530C211yesmaximal, characteristic, complemented
10#50833C212yesmaximal, complemented
11#50200C211yesmaximal, characteristic, complemented
12#49789C212yesmaximal, complemented
13#49681C211yesmaximal, characteristic
14#49459C212yesmaximal, complemented
15#49448C212yesmaximal, complemented
16#48827C212yesmaximal, complemented
17#48129C212yesmaximal, complemented
18#46986C212yesmaximal, complemented
19#46909C212yesmaximal, complemented
20#43784C212yesmaximal, complemented
21#43636C212yesmaximal, complemented
22#43533C212yesmaximal, complemented
23#43246C212yesmaximal, complemented
24#41460C212yesmaximal, complemented
25#41219C212yesmaximal, complemented
26#41160C212yesmaximal, complemented
27#41075C212yesmaximal, complemented
28#40988C212yesmaximal, complemented
29#38604C212yesmaximal, complemented
30#38009C212yesmaximal, complemented
31#36821C211yesmaximal, characteristic, complemented
32#35795C212yesmaximal, complemented
33#35738C212yesmaximal, complemented
34#35673C211yesmaximal, characteristic, complemented
35#35408C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic, complemented
37C2×#554C2212yes—
38C2×#551C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#519C2211yescharacteristic, complemented
41#2853C2212yescomplemented
42#2841C2212yes—
43#2841C2212yes—
44#2839C2212yescomplemented
45#2838C2212yes—
46#2837C2212yes—
47#2833C2212yescomplemented
48#2827C2212yes—
49#2827C2212yescomplemented
50#2826C2212yes—
51#2814C2212yes—
52#2809C2212yescomplemented
53#2809C2212yescomplemented
54#2806C2212yescomplemented
55#2798C2212yescomplemented
56#2798C2212yescomplemented
57#2791C2212yescomplemented
58#2790C2212yes—
59#2790C2212yescomplemented
60#2789C2212yescomplemented
61#2789C2212yescomplemented
62#2788C2212yescomplemented
63#2784C2212yescomplemented
64#2783C2212yes—
65#2781C2212yes—
66#2781C2212yescomplemented
67#2781C2212yescomplemented
68#2776C2212yescomplemented
69#2776C2212yescomplemented
70#2775C2212yescomplemented
71#2775C2212yescomplemented
72#2775C2212yescomplemented
73#2774C2212yescomplemented
74#2773C2212yes—
75#2773C2212yescomplemented
76#2772C2212yes—
77#2772C2212yescomplemented
78#2772C2212yescomplemented
79#2769C2212yescomplemented
80#2768C2212yes—
81#2768C2212yescomplemented
82#2767C2212yescomplemented
83#2766C2212yescomplemented
84#2765C2212yes—
85#2764C2212yes—
86#2762C2212yescomplemented
87#2761C2212yes—
88#2760C2212yescomplemented
89#2758C2212yescomplemented
90#2758C2212yescomplemented
91#2757C2212yescomplemented
92#2756C2212yes—
93#2755C2212yescomplemented
94#2754C2212yes—
95#2752C2212yes—
96#2751C2212yes—
97#2748C2211yescharacteristic
98#2748C2211yescharacteristic, complemented
99#2747C2212yescomplemented
100#2746C2212yes—
101#2745C2212yes—
102#2745C2212yes—
103#2744C2212yes—
104#2743C2212yes—
105#2743C2212yes—
106#2743C2212yescomplemented
107#2741C2212yescomplemented
108#2740C2212yes—
109#2739C2212yes—
110#2739C2212yescomplemented
111#2739C2212yescomplemented
112#2738C2212yes—
113#2738C2212yescomplemented
114#2738C2212yescomplemented
115#2734C2211yescharacteristic, complemented
116#2731C2211yescharacteristic, complemented
117#2730C2212yes—
118#2729C2212yes—
119#2728C2212yes—
120#2725C2212yes—
121#2723C2212yes—
122#2723C2212yes—
123#2722C2212yes—
124#2719C2212yescomplemented
125#2718C2212yes—
126#2717C2211yescharacteristic
127#2717C2211yescharacteristic, complemented
128#2716C2212yes—
129#2716C2212yescomplemented
130#2713C2212yescomplemented
131#2713C2212yescomplemented
132#2709C2212yes—
133#2707C2212yes—
134#2707C2212yes—
135#2707C2212yes—
136#2706C2212yes—
137#2706C2212yescomplemented
138#2705C2212yescomplemented
139#2704C2212yes—
140#2700C2212yescomplemented
141#2698C2212yescomplemented
142#2696C2212yes—
143#2695C2212yes—
144#2695C2212yes—
145#2693C2212yes—
146#2692C2212yes—
147#2691C2212yes—
148#2690C2212yes—
149#2689C2212yes—
150#2689C2212yes—
151#2689C2212yescomplemented
152#2688C2212yes—
153#2687C2212yes—
154#2687C2212yes—
155#2687C2212yescomplemented
156#2686C2212yes—
157#2685C2212yes—
158#2684C2211yescharacteristic
159#2683C2212yes—
160#2681C2212yescomplemented
161#2674C2212yes—
162#2671C2212yes—
163#2669C2211yescharacteristic
164#2667C2212yescomplemented
165#2667C2212yescomplemented
166#2666C2212yescomplemented
167#2662C2212yes—
168#2653C2212yes—
169#2653C2212yes—
170#2653C2212yes—
171#2652C2212yes—
172#2651C2212yes—
173#2651C2212yescomplemented
174#2649C2212yes—
175#2649C2212yes—
176#2649C2212yes—
177#2638C2212yes—
178#2635C2212yes—
179#2634C2212yescomplemented
180#2634C2212yescomplemented
181#2630C2212yes—
182#2630C2212yes—
183#2628C2212yes—
184#2628C2212yescomplemented
185#2624C2212yes—
186#2623C2212yescomplemented
187#2622C2212yes—
188#2612C2212yescomplemented
189#2611C2212yescomplemented
190#2611C2212yescomplemented
191#2609C2212yes—
192#2608C2212yescomplemented
193#2607C2211yescharacteristic
194#2607C2211yescharacteristic, complemented
195#2606C2212yescomplemented
196#2602C2212yes—
197#2601C2212yescomplemented
198#2598C2212yes—
199#2598C2212yes—
200#2597C2212yes—
201#2596C2212yescomplemented
202#2591C2211yescharacteristic, complemented
203#2590C2212yescomplemented
204#2590C2212yescomplemented
205#2588C2212yescomplemented
206#2578C2212yes—
207#2578C2212yes—
208#2578C2212yes—
209#2578C2212yescomplemented
210#2578C2212yescomplemented
211#2577C2212yes—
212#2576C2212yes—
213#2576C2212yes—
214#2575C2212yescomplemented
215#2574C2212yescomplemented
216#2572C2212yes—
217#2569C2212yes—
218#2568C2212yescomplemented
219#2561C2211yescharacteristic
220#2560C2212yes—
221#2559C2212yes—
222#2557C2212yes—
223#2556C2212yescomplemented
224#2556C2212yescomplemented
225#2556C2212yescomplemented
226#2536C2212yes—
227#2534C2212yes—
228#2531C2212yes—
229#2530C2212yes—
230#2530C2212yes—
231#2529C2212yescomplemented
232#2528C2212yescomplemented
233#2527C2212yescomplemented
234#2526C2212yescomplemented
235#2525C2212yes—
236#2524C2212yescomplemented
237#2524C2212yescomplemented
238#2524C2212yescomplemented
239#2524C2212yescomplemented
240#2523C2212yes—
241#2523C2212yes—
242#2521C2212yes—
243#2519C2212yescomplemented
244#2518C2212yes—
245#2518C2212yes—
246#2518C2212yescomplemented
247#2517C2212yes—
248#2517C2212yes—
249#2516C2212yes—
250#2516C2212yes—
251#2516C2212yescomplemented
252#2515C2212yescomplemented
253#2510C2212yescomplemented
254#2509C2212yescomplemented
255#2508C2212yescomplemented
256#2505C2212yes—
257#2505C2212yes—
258#2505C2212yescomplemented
259#2503C2212yescomplemented
260#2498C2212yes—
261#2498C2212yes—
262#2498C2212yescomplemented
263#2498C2212yescomplemented
264#2495C2212yes—
265#2493C2212yes—
266#2493C2212yescomplemented
267#2492C2212yes—
268#2489C2212yes—
269#2488C2212yes—
270#2488C2212yes—
271#2487C2212yes—
272#2485C2212yes—
273#2481C2212yes—
274#2481C2212yes—
275#2480C2212yes—
276#2478C2212yes—
277#2478C2212yes—
278#2477C2212yes—
279#2477C2212yes—
280#2477C2212yescomplemented
281#2477C2212yescomplemented
282#2475C2212yes—
283#2473C2212yes—
284#2473C2212yescomplemented
285#2472C2212yes—
286#2468C2212yes—
287#2466C2212yes—
288#2465C2212yes—
289#2465C2212yes—
290#2465C2212yescomplemented
291#2465C2212yescomplemented
292#2461C2212yescomplemented
293#2460C2212yes—
294#2459C2212yes—
295#2459C2212yes—
296#2457C2212yes—
297#2455C2212yes—
298#2450C2212yes—
299#2449C2212yes—
300#2448C2212yes—
301#2448C2212yes—
302#2446C2212yescomplemented
303#2446C2212yescomplemented
304#2445C2212yes—
305#2443C2212yes—
306#2443C2212yes—
307#2442C2212yescomplemented
308#2438C2212yes—
309#2437C2212yes—
310#2437C2212yes—
311#2432C2211yescharacteristic
312#2431C2211yescharacteristic
313#2427C2212yes—
314#2425C2212yes—
315#2425C2212yes—
316#2424C2212yes—
317#2423C2212yes—
318#2423C2212yescomplemented
319#2421C2212yes—
320#2421C2212yes—
321#2421C2212yescomplemented
322#2421C2212yescomplemented
323#2420C2212yes—
324#2419C2212yes—
325#2419C2212yescomplemented
326#2418C2212yes—
327#2418C2212yes—
328#2415C2212yes—
329#2412C2212yes—
330#2409C2212yes—
331#2409C2212yescomplemented
332#2406C2211yescharacteristic
333#2404C2211yescharacteristic
334#2401C2212yes—
335#2398C2212yes—
336#2398C2212yes—
337#2392C2212yes—
338C2×#397C2212yes—
339#2382C2212yescomplemented
340#2380C2211yescharacteristic
341#2379C2211yescharacteristic
342#2376C2211yescharacteristic, complemented
343#2373C2212yes—
344#2372C2211yescharacteristic, complemented
345#2369C2211yescharacteristic, complemented
346#2364C2212yes—
347#2360C2212yes—
348#2360C2212yescomplemented
349#2359C2212yes—
350#2359C2212yes—
351#2358C2212yes—
352#2358C2211yescharacteristic
353#2356C2212yescomplemented
354#2353C2212yes—
355#2352C2212yes—
356#2352C2212yescomplemented
357#2349C2212yes—
358#2343C2212yes—
359#2342C2212yes—
360#2337C2212yes—
361#2335C2212yescomplemented
362#2334C2212yes—
363#2333C2212yes—
364#2333C2211yescharacteristic, complemented
365#2332C2211yescharacteristic
366#2332C2212yescomplemented
367#2329C2212yes—
368#2329C2212yes—
369#2325C2212yes—
370#2318C2212yes—
371#2316C2211yescharacteristic, complemented
372#2313C2211yescharacteristic, complemented
373#2311C2211yescharacteristic
374C4×#123C2212yes—
375#2297C2211yescharacteristic
376C2×#391C2211yescharacteristic, complemented
377#2285C2211yescharacteristic, complemented
378#2273C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381#563—44no—
382#554—48no—
383#551—44no—
384#536—44no—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2311yescharacteristic
388C2×C4⋊Q8C2311yescharacteristic
389C2×#127C2311yescharacteristic
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#124C2311yescharacteristic
400C2×#124C2312yes—
401C2×#124C2311yescharacteristic
402C2×#124C2311yescharacteristic
403C2×#124C2311yescharacteristic
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2311yescharacteristic
409C2×#123C2311yescharacteristic
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
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×C22⋊Q8C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#120C2312yes—
432C2×#120C2311yescharacteristic
433C2×#120C2311yescharacteristic
434#519—44no—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×#117C2311yescharacteristic
449C2×#117C2311yescharacteristic
450C2×#117C2311yescharacteristic
451C2×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2312yes—
459C22×C22⋊C4C2311yescharacteristic
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2312yes—
462C22×C22⋊C4C2312yes—
463C22×C42C2311yescharacteristic
464#401C2312yes—
465#401C2312yes—
466#401C2312yes—
467#401C2312yes—
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#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
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#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
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#396C2312yes—
607#396C2312yes—
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#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
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#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2311yescharacteristic
719#390C2311yescharacteristic
720#390C2312yes—
721#390C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
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#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
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#387C2312yes—
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#386C2312yes—
909#386C2311yescharacteristic
910#386C2311yescharacteristic
911#386C2311yescharacteristic
912#386C2311yescharacteristic
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2311yescharacteristic
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
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#386C2311yescharacteristic
945#386C2311yescharacteristic
946#386C2311yescharacteristic
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
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#383C2312yes—
992#383C2312yes—
993#383C2312yes—
994#383C2312yes—
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2311yescharacteristic
1020#381C2312yes—
1021#381C2312yes—
1022#381C2311yescharacteristic
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#379C2312yes—
1052#379C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C22⋊C4C2311yescharacteristic
1067C4×C22⋊C4C2311yescharacteristic
1068C4×C22⋊C4C2311yescharacteristic
1069C4×C22⋊C4C2311yescharacteristic
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2311yescharacteristic
1077C4×C22⋊C4C2312yes—
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—
1090C4×C22⋊C4C2311yescharacteristic
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C2×#41—42no—
1105C2×#41—42no—
1106C2×#41—42no—
1107C22×Q8—24no—
1108C22×Q8—42no—
1109C22×Q8—42no—
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2412yes—
1115C22×Q8C2412yes—
1116C22×Q8C2411yescharacteristic
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C22×D4C2411yescharacteristic
1124C22×D4C2411yescharacteristic
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2411yescharacteristic
1141C23×C4C2412yes—
1142C23×C4C2411yescharacteristic
1143C23×C4C2411yescharacteristic
1144C23×C4C2412yes—
1145C23×C4C2411yescharacteristic
1146C23×C4C2411yescharacteristic
1147C4⋊Q8—24no—
1148C4⋊Q8—44no—
1149C4⋊Q8—42no—
1150C4⋊Q8—42no—
1151#127—42no—
1152#126—44no—
1153#126—44no—
1154#126—44no—
1155#126—44no—
1156#126—44no—
1157#125—44no—
1158#125—44no—
1159#125—44no—
1160#125—44no—
1161#124—24no—
1162#124—42no—
1163#124—44no—
1164#124—42no—
1165#124—42no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169#123—42no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173#123—44no—
1174#123—44no—
1175#123—42no—
1176C22⋊Q8—28no—
1177C22⋊Q8—28no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—44no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—42no—
1188C22⋊Q8—44no—
1189#121—42no—
1190#121—44no—
1191#121—44no—
1192#121—44no—
1193#120—42no—
1194#120—44no—
1195#120—42no—
1196C4×Q8—28no—
1197C4×Q8—44no—
1198C4×Q8—44no—
1199C4×Q8—44no—
1200C4×D4—44no—
1201C4×D4—44no—
1202C4×D4—44no—
1203C4×D4—44no—
1204C4×D4—44no—
1205C4×D4—44no—
1206C4×D4—44no—
1207C4×D4—44no—
1208C4×D4—44no—
1209#117—42no—
1210#117—44no—
1211#117—42no—
1212#117—44no—
1213#117—44no—
1214#117—44no—
1215#117—42no—
1216C2×C4⋊C4—42no—
1217C2×C4⋊C4—42no—
1218C2×C4⋊C4—44no—
1219C2×C4⋊C4—44no—
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⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊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×C22⋊C4—42no—
1302C2×C22⋊C4—44no—
1303C2×C22⋊C4—44no—
1304C2×C22⋊C4—44no—
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⋊C4C2411yescharacteristic
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2411yescharacteristic
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C42—42no—
1383C2×C42C2411yescharacteristic
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2411yescharacteristic
1388C2×C42C2412yes—
1389C2×C42C2411yescharacteristic
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2411yescharacteristic
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2411yescharacteristic
1401C2×C42C2411yescharacteristic
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2411yescharacteristic
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2411yescharacteristic
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2411yescharacteristic
1411C2×C42C2412yes—
1412C2×C42C2411yescharacteristic
1413C2×C42C2412yes—
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—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530C24—24no—
1531C24—41no—
1532C24—41no—
1533C24—41no—
1534C24—42no—
1535C24C2511yescharacteristic
1536C24C2512yes—
1537C24C2511yescharacteristic
1538C24C2512yes—
1539C24C2511yescharacteristic
1540#41—88no—
1541C2×Q8—24no—
1542C2×Q8—22no—
1543C2×Q8—22no—
1544C2×Q8—24no—
1545C2×Q8—41no—
1546C2×Q8—42no—
1547C2×Q8—41no—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—41no—
1551C2×Q8—41no—
1552C2×Q8—42no—
1553C2×Q8—42no—
1554C2×Q8—41no—
1555C2×Q8—42no—
1556C2×Q8—41no—
1557C2×Q8—41no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8—42no—
1561C2×Q8—416no—
1562C2×Q8H(5,𝔽2)14yes—
1563C2×D4—24no—
1564C2×D4—24no—
1565C2×D4—24no—
1566C2×D4—24no—
1567C2×D4—24no—
1568C2×D4—22no—
1569C2×D4—24no—
1570C2×D4—22no—
1571C2×D4—22no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—42no—
1578C2×D4—41no—
1579C2×D4—41no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—41no—
1584C2×D4—41no—
1585C2×D4—41no—
1586C2×D4—41no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—41no—
1592C2×D4—41no—
1593C2×D4—42no—
1594C2×D4—41no—
1595C2×D4—42no—
1596C22×C4—22no—
1597C22×C4—22no—
1598C22×C4—22no—
1599C22×C4—24no—
1600C22×C4—24no—
1601C22×C4—24no—
1602C22×C4—24no—
1603C22×C4—24no—
1604C22×C4—24no—
1605C22×C4—24no—
1606C22×C4—22no—
1607C22×C4—22no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—41no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—41no—
1615C22×C4—41no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—41no—
1624C22×C4—41no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—41no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—41no—
1634C22×C4—41no—
1635C22×C4—41no—
1636C22×C4—41no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—41no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2511yescharacteristic
1660C22×C4C2511yescharacteristic
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2511yescharacteristic
1677C22×C4C2512yes—
1678C22×C4C2511yescharacteristic
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
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—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—41no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—41no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
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—41no—
1799C22⋊C4—42no—
1800C22⋊C4—41no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—41no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—41no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—41no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—41no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C42—22no—
1838C42—24no—
1839C42—24no—
1840C42—24no—
1841C42—22no—
1842C42—41no—
1843C42—41no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—41no—
1852C42—41no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—41no—
1861C42—42no—
1862C42—41no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—41no—
1867C42—41no—
1868C23—22no—
1869C23—21no—
1870C23—22no—
1871C23—22no—
1872C23—22no—
1873C23—22no—
1874C23—21no—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—21no—
1879C23—22no—
1880C23—21no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—21no—
1885C23—22no—
1886C23—22no—
1887C23—21no—
1888C23—22no—
1889C23—21no—
1890C23—21no—
1891C23—22no—
1892C23—22no—
1893C23—22no—
1894C23—22no—
1895C23—44no—
1896C23—84no—
1897C23—84no—
1898C23—161no—
1899C23—161no—
1900C23#58514yes—
1901C23#58512yes—
1902C23C2611yescharacteristic
1903Q8—44no—
1904Q8—48no—
1905Q8—44no—
1906Q8—82no—
1907Q8—161no—
1908Q8—162no—
1909Q8—162no—
1910D4—48no—
1911D4—48no—
1912D4—82no—
1913D4—84no—
1914D4—84no—
1915D4—84no—
1916D4—82no—
1917D4—82no—
1918D4—161no—
1919D4—162no—
1920D4—162no—
1921C2×C4—28no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—22no—
1925C2×C4—21no—
1926C2×C4—21no—
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—21no—
1940C2×C4—21no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—21no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—21no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—21no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—21no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—48no—
2010C2×C4—84no—
2011C2×C4—84no—
2012C2×C4—82no—
2013C2×C4—82no—
2014C2×C4—84no—
2015C2×C4—84no—
2016C2×C4—84no—
2017C2×C4—82no—
2018C2×C4—161no—
2019C2×C4—161no—
2020C2×C4—161no—
2021C2×C4—161no—
2022C2×C4—162no—
2023C2×C4—162no—
2024C2×C4—162no—
2025C2×C4—162no—
2026C2×C4—162no—
2027C2×C4C2×H(5,𝔽2)12yes—
2028C2×C4C2×H(5,𝔽2)14yes—
2029C2×C4#58512yes—
2030C22—22no—
2031C22—24no—
2032C22—24no—
2033C22—24no—
2034C22—24no—
2035C22—42no—
2036C22—41no—
2037C22—41no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—41no—
2043C22—41no—
2044C22—42no—
2045C22—42no—
2046C22—41no—
2047C22—41no—
2048C22—41no—
2049C22—41no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—42no—
2058C22—42no—
2059C22—164no—
2060C22C22×H(5,𝔽2)11yescharacteristic
2061C22C2×#58511yescharacteristic
2062C22C2×#58511yescharacteristic
2063C22C2×#58512yes—
2064C222−1+612yes—
2065C4—22no—
2066C4—22no—
2067C4—24no—
2068C4—42no—
2069C4—42no—
2070C4—41no—
2071C4—41no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4—42no—
2085C4—42no—
2086C4—42no—
2087C4—42no—
2088C4—42no—
2089C4—42no—
2090C4—42no—
2091C4—42no—
2092C4—42no—
2093C4—42no—
2094C4—42no—
2095C2—42no—
2096C2—44no—
2097C2—81no—
2098C2—82no—
2099C2—81no—
2100C2#6282011yescharacteristic
2101C2#6282911yescharacteristic
2102C2#6289111yescharacteristic
2103C2#6290912yes—
2104C2#6291912yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#49681C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58760C2semidirect
2. #58757C2semidirect
3. #57515C2semidirect
4. #57044C2semidirect
5. #55259C2semidirect
6. #54679C2semidirect
7. #52075C2semidirect
8. #51683C2semidirect
9. #51530C2semidirect
10. #50833C2semidirect
11. #50200C2semidirect
12. #49789C2semidirect
14. #49459C2semidirect
15. #49448C2semidirect
16. #48827C2semidirect
17. #48129C2semidirect
18. #46986C2semidirect
19. #46909C2semidirect
20. #43784C2semidirect
21. #43636C2semidirect
22. #43533C2semidirect
23. #43246C2semidirect
24. #41460C2semidirect
25. #41219C2semidirect
26. #41160C2semidirect
27. #41075C2semidirect
28. #40988C2semidirect
29. #38604C2semidirect
30. #38009C2semidirect
31. #36821C2semidirect
32. #35795C2semidirect
33. #35738C2semidirect
34. #35673C2semidirect
35. #35408C2semidirect
36. C2×#563C22semidirect
40. C2×#519C22semidirect
41. #2853C22semidirect
44. #2839C22semidirect
47. #2833C22semidirect
49. #2827C22semidirect
52. #2809C22semidirect
53. #2809C22semidirect
54. #2806C22semidirect
55. #2798C22semidirect
56. #2798C22semidirect
57. #2791C22semidirect
59. #2790C22semidirect
60. #2789C22semidirect
61. #2789C22semidirect
62. #2788C22semidirect
63. #2784C22semidirect
66. #2781C22semidirect
67. #2781C22semidirect
68. #2776C22semidirect
69. #2776C22semidirect
70. #2775C22semidirect
71. #2775C22semidirect
72. #2775C22semidirect
73. #2774C22semidirect
75. #2773C22semidirect
77. #2772C22semidirect
78. #2772C22semidirect
79. #2769C22semidirect
81. #2768C22semidirect
82. #2767C22semidirect
83. #2766C22semidirect
86. #2762C22semidirect
88. #2760C22semidirect
89. #2758C22semidirect
90. #2758C22semidirect
91. #2757C22semidirect
93. #2755C22semidirect
98. #2748C22semidirect
99. #2747C22semidirect
106. #2743C22semidirect
107. #2741C22semidirect
110. #2739C22semidirect
111. #2739C22semidirect
113. #2738C22semidirect
114. #2738C22semidirect
115. #2734C22semidirect
116. #2731C22semidirect
124. #2719C22semidirect
127. #2717C22semidirect
129. #2716C22semidirect
130. #2713C22semidirect
131. #2713C22semidirect
137. #2706C22semidirect
138. #2705C22semidirect
140. #2700C22semidirect
141. #2698C22semidirect
151. #2689C22semidirect
155. #2687C22semidirect
160. #2681C22semidirect
164. #2667C22semidirect
165. #2667C22semidirect
166. #2666C22semidirect
173. #2651C22semidirect
179. #2634C22semidirect
180. #2634C22semidirect
184. #2628C22semidirect
186. #2623C22semidirect
188. #2612C22semidirect
189. #2611C22semidirect
190. #2611C22semidirect
192. #2608C22semidirect
194. #2607C22semidirect
195. #2606C22semidirect
197. #2601C22semidirect
201. #2596C22semidirect
202. #2591C22semidirect
203. #2590C22semidirect
204. #2590C22semidirect
205. #2588C22semidirect
209. #2578C22semidirect
210. #2578C22semidirect
214. #2575C22semidirect
215. #2574C22semidirect
218. #2568C22semidirect
223. #2556C22semidirect
224. #2556C22semidirect
225. #2556C22semidirect
231. #2529C22semidirect
232. #2528C22semidirect
233. #2527C22semidirect
234. #2526C22semidirect
236. #2524C22semidirect
237. #2524C22semidirect
238. #2524C22semidirect
239. #2524C22semidirect
243. #2519C22semidirect
246. #2518C22semidirect
251. #2516C22semidirect
252. #2515C22semidirect
253. #2510C22semidirect
254. #2509C22semidirect
255. #2508C22semidirect
258. #2505C22semidirect
259. #2503C22semidirect
262. #2498C22semidirect
263. #2498C22semidirect
266. #2493C22semidirect
280. #2477C22semidirect
281. #2477C22semidirect
284. #2473C22semidirect
290. #2465C22semidirect
291. #2465C22semidirect
292. #2461C22semidirect
302. #2446C22semidirect
303. #2446C22semidirect
307. #2442C22semidirect
318. #2423C22semidirect
321. #2421C22semidirect
322. #2421C22semidirect
325. #2419C22semidirect
331. #2409C22semidirect
339. #2382C22semidirect
342. #2376C22semidirect
344. #2372C22semidirect
345. #2369C22semidirect
348. #2360C22semidirect
353. #2356C22semidirect
356. #2352C22semidirect
361. #2335C22semidirect
364. #2333C22semidirect
366. #2332C22semidirect
371. #2316C22semidirect
372. #2313C22semidirect
376. C2×#391C22semidirect
377. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#587602
#587572
#575152
#570442
#552592
#546792
#520752
#516832
#515302
#508332
#502002
#497892
#496812
#494592
#494482
#488272
#481292
#469862
#469092
#437842
#436362
#435332
#432462
#414602
#412192
#411602
#410752
#409882
#386042
#380092
#368212
#357952
#357382
#356732
#354082