Finite Group Databasebeta

← #7954913

Subgroups — #7954913

Order 512.

4879 conjugacy classes of subgroups.

The subgroup lattice has 2633 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59874C211yesmaximal, characteristic, complemented
2#59585C211yesmaximal, characteristic, complemented
3#59145C211yesmaximal, characteristic, complemented
4#52237C211yesmaximal, characteristic, complemented
5#51491C212yesmaximal, complemented
6#51291C212yesmaximal, complemented
7#50807C212yesmaximal, complemented
8#50103C212yesmaximal, complemented
9#49683C212yesmaximal, complemented
10#48133C212yesmaximal, complemented
11#47569C212yesmaximal, complemented
12#47056C212yesmaximal, complemented
13#46248C212yesmaximal, complemented
14#45421C211yesmaximal, characteristic, complemented
15#45366C211yesmaximal, characteristic, complemented
16#45306C211yesmaximal, characteristic, complemented
17#45146C211yesmaximal, characteristic, complemented
18#44995C211yesmaximal, characteristic, complemented
19#44960C211yesmaximal, characteristic, complemented
20#44139C212yesmaximal, complemented
21#43465C212yesmaximal, complemented
22#42960C211yesmaximal, characteristic, complemented
23#42700C211yesmaximal, characteristic, complemented
24#42529C211yesmaximal, characteristic, complemented
25#42519C211yesmaximal, characteristic, complemented
26#41281C212yesmaximal, complemented
27#41167C212yesmaximal, complemented
28#40030C211yesmaximal, characteristic, complemented
29#39821C211yesmaximal, characteristic, complemented
30#39810C211yesmaximal, characteristic, complemented
31#39735C211yesmaximal, characteristic, complemented
32#38982C211yesmaximal, characteristic, complemented
33#38956C211yesmaximal, characteristic, complemented
34#38708C212yesmaximal, complemented
35#38308C212yesmaximal, complemented
36#38079C211yesmaximal, characteristic, complemented
37#37683C211yesmaximal, characteristic, complemented
38#37095C212yesmaximal, complemented
39#36300C211yesmaximal, characteristic, complemented
40#36041C211yesmaximal, characteristic, complemented
41#35844C211yesmaximal, characteristic, complemented
42#35673C211yesmaximal, characteristic, complemented
43#35517C211yesmaximal, characteristic, complemented
44#35188C211yesmaximal, characteristic, complemented
45#34477C211yesmaximal, characteristic, complemented
46#34460C211yesmaximal, characteristic, complemented
47#34312C211yesmaximal, characteristic, complemented
48C2×#559C2211yescharacteristic
49C2×#559C2211yescharacteristic
50C2×#550C2211yescharacteristic
51C2×#548C2211yescharacteristic
52C2×#547C2211yescharacteristic
53C2×#536C2211yescharacteristic
54C2×#532C2211yescharacteristic
55C2×#520C2211yescharacteristic
56C2×#519C2211yescharacteristic
57#2866C2212yes—
58#2865C2212yes—
59#2860C2212yes—
60#2858C2211yescharacteristic
61#2856C2211yescharacteristic
62#2850C2211yescharacteristic
63#2838C2212yes—
64#2837C2212yes—
65#2828C2212yes—
66#2824C2212yes—
67#2801C2212yes—
68#2798C2212yes—
69#2797C2212yes—
70#2792C2211yescharacteristic
71#2791C2211yescharacteristic
72#2790C2211yescharacteristic
73#2788C2211yescharacteristic
74#2787C2212yes—
75#2786C2212yes—
76#2784C2211yescharacteristic
77#2784C2212yes—
78#2783C2212yes—
79#2780C2211yescharacteristic
80#2779C2212yes—
81#2779C2212yes—
82#2779C2212yes—
83#2778C2212yes—
84#2777C2212yes—
85#2774C2211yescharacteristic
86#2768C2211yescharacteristic
87#2768C2211yescharacteristic
88#2767C2212yes—
89#2767C2212yes—
90#2764C2212yes—
91#2763C2212yes—
92#2763C2211yescharacteristic
93#2759C2212yes—
94#2759C2212yes—
95#2758C2212yes—
96#2758C2212yes—
97#2757C2212yes—
98#2755C2211yescharacteristic
99#2754C2212yes—
100#2753C2212yes—
101#2753C2212yes—
102#2753C2212yes—
103#2752C2212yes—
104#2752C2212yes—
105#2750C2212yes—
106#2749C2212yes—
107#2748C2211yescharacteristic
108#2744C2212yes—
109#2743C2212yes—
110#2743C2212yes—
111#2742C2211yescharacteristic
112#2741C2212yes—
113#2740C2212yes—
114#2739C2212yes—
115#2720C2211yescharacteristic
116#2717C2212yes—
117#2714C2212yes—
118#2712C2212yes—
119#2710C2212yes—
120#2710C2212yes—
121#2710C2212yes—
122#2706C2212yes—
123#2706C2212yes—
124#2706C2212yes—
125#2706C2212yes—
126#2705C2212yes—
127#2704C2211yescharacteristic
128#2703C2212yes—
129#2703C2212yes—
130#2703C2212yes—
131#2703C2212yes—
132#2703C2212yes—
133#2703C2212yes—
134#2703C2212yes—
135#2703C2212yes—
136#2703C2212yes—
137#2700C2212yes—
138#2699C2212yes—
139#2696C2212yes—
140#2696C2212yes—
141#2695C2212yes—
142#2693C2212yes—
143#2693C2212yes—
144#2693C2212yes—
145#2692C2212yes—
146#2692C2211yescharacteristic
147#2692C2212yes—
148#2689C2212yes—
149#2688C2212yes—
150#2688C2212yes—
151#2687C2212yes—
152#2676C2212yes—
153#2676C2212yes—
154#2676C2212yes—
155#2676C2212yes—
156#2673C2212yes—
157#2673C2212yes—
158#2672C2212yes—
159#2672C2212yes—
160#2671C2212yes—
161#2663C2212yes—
162#2661C2212yes—
163#2657C2211yescharacteristic
164#2654C2212yes—
165#2652C2212yes—
166#2650C2212yes—
167#2650C2212yes—
168#2649C2212yes—
169#2648C2212yes—
170#2648C2212yes—
171#2643C2212yes—
172#2640C2211yescharacteristic
173#2635C2212yes—
174#2632C2212yes—
175#2631C2212yes—
176#2630C2212yes—
177#2620C2211yescharacteristic
178#2619C2211yescharacteristic
179#2619C2211yescharacteristic
180#2619C2211yescharacteristic
181#2612C2212yes—
182#2612C2212yes—
183#2610C2212yes—
184#2610C2212yes—
185#2610C2212yes—
186#2609C2212yes—
187#2602C2212yes—
188#2602C2212yes—
189#2598C2212yes—
190#2598C2212yes—
191#2598C2212yes—
192#2592C2211yescharacteristic
193#2592C2211yescharacteristic
194#2592C2211yescharacteristic
195#2581C2211yescharacteristic
196#2581C2211yescharacteristic
197#2580C2211yescharacteristic
198#2578C2212yes—
199#2578C2212yes—
200#2577C2212yes—
201#2576C2212yes—
202#2575C2212yes—
203#2574C2212yes—
204#2573C2212yes—
205#2571C2211yescharacteristic
206#2571C2211yescharacteristic
207#2570C2211yescharacteristic
208#2569C2212yes—
209#2568C2211yescharacteristic
210#2568C2211yescharacteristic
211#2567C2211yescharacteristic
212#2564C2212yes—
213#2564C2212yes—
214#2559C2212yes—
215#2557C2212yes—
216#2557C2212yes—
217#2557C2212yes—
218#2557C2212yes—
219#2553C2212yes—
220#2548C2211yescharacteristic
221#2548C2211yescharacteristic
222#2548C2211yescharacteristic
223#2547C2211yescharacteristic
224#2545C2211yescharacteristic
225#2545C2211yescharacteristic
226#2544C2211yescharacteristic
227#2544C2211yescharacteristic
228#2544C2211yescharacteristic
229#2541C2211yescharacteristic
230#2541C2211yescharacteristic
231#2541C2211yescharacteristic
232#2538C2211yescharacteristic
233#2538C2211yescharacteristic
234#2535C2212yes—
235#2533C2212yes—
236#2533C2212yes—
237#2531C2212yes—
238#2531C2212yes—
239#2527C2212yes—
240#2523C2212yes—
241#2521C2212yes—
242#2521C2212yes—
243#2518C2212yes—
244#2515C2212yes—
245#2514C2211yescharacteristic
246#2514C2211yescharacteristic
247#2513C2211yescharacteristic
248#2513C2211yescharacteristic
249#2513C2212yes—
250#2513C2211yescharacteristic
251#2512C2211yescharacteristic
252#2512C2211yescharacteristic
253#2511C2211yescharacteristic
254#2511C2211yescharacteristic
255#2511C2211yescharacteristic
256#2510C2212yes—
257#2510C2212yes—
258#2510C2212yes—
259#2504C2211yescharacteristic
260#2504C2211yescharacteristic
261#2502C2211yescharacteristic
262#2501C2211yescharacteristic
263#2500C2212yes—
264#2498C2212yes—
265#2498C2212yes—
266#2498C2212yes—
267#2498C2212yes—
268#2498C2212yes—
269#2488C2212yes—
270#2487C2212yes—
271#2486C2212yes—
272#2485C2212yes—
273#2485C2212yes—
274#2481C2212yes—
275#2477C2212yes—
276#2474C2212yes—
277#2474C2212yes—
278#2471C2212yes—
279#2471C2212yes—
280#2471C2212yes—
281#2471C2212yes—
282#2470C2212yes—
283#2467C2212yes—
284#2464C2212yes—
285#2464C2212yes—
286#2463C2212yes—
287#2463C2212yes—
288#2461C2212yes—
289#2461C2212yes—
290#2460C2212yes—
291#2459C2212yes—
292#2459C2212yes—
293#2458C2212yes—
294#2458C2212yes—
295#2457C2212yes—
296#2457C2212yes—
297#2457C2212yes—
298#2456C2212yes—
299#2456C2212yes—
300#2456C2212yes—
301#2456C2212yes—
302#2456C2212yes—
303#2454C2212yes—
304#2450C2212yes—
305#2449C2212yes—
306#2448C2211yescharacteristic
307#2448C2211yescharacteristic
308#2448C2211yescharacteristic
309#2448C2211yescharacteristic
310#2448C2211yescharacteristic
311#2448C2211yescharacteristic
312#2448C2211yescharacteristic
313#2447C2211yescharacteristic
314#2447C2211yescharacteristic
315#2447C2211yescharacteristic
316#2447C2211yescharacteristic
317#2446C2211yescharacteristic
318#2446C2211yescharacteristic
319#2446C2211yescharacteristic
320#2446C2211yescharacteristic
321#2446C2211yescharacteristic
322#2445C2211yescharacteristic
323#2445C2211yescharacteristic
324#2445C2211yescharacteristic
325#2445C2211yescharacteristic
326#2445C2211yescharacteristic
327#2445C2211yescharacteristic
328#2444C2212yes—
329#2444C2212yes—
330#2443C2212yes—
331#2443C2212yes—
332#2443C2212yes—
333#2443C2212yes—
334#2438C2212yes—
335#2436C2211yescharacteristic
336#2436C2211yescharacteristic
337#2432C2211yescharacteristic
338#2431C2211yescharacteristic
339#2431C2211yescharacteristic
340#2431C2211yescharacteristic
341#2431C2212yes—
342#2431C2211yescharacteristic
343#2431C2212yes—
344#2431C2211yescharacteristic
345#2430C2212yes—
346#2430C2212yes—
347#2427C2212yes—
348#2427C2212yes—
349#2425C2212yes—
350#2425C2212yes—
351#2425C2212yes—
352#2425C2212yes—
353#2425C2212yes—
354#2423C2212yes—
355#2423C2212yes—
356#2422C2212yes—
357#2421C2212yes—
358#2421C2212yes—
359#2414C2212yes—
360#2402C2211yescharacteristic
361#2399C2211yescharacteristic
362#2398C2212yes—
363#2397C2212yes—
364#2396C2211yescharacteristic
365#2396C2211yescharacteristic
366#2396C2211yescharacteristic
367#2396C2211yescharacteristic
368#2380C2212yes—
369#2378C2212yes—
370#2377C2212yes—
371#2376C2212yes—
372#2369C2211yescharacteristic
373#2367C2211yescharacteristic
374#2367C2212yes—
375#2367C2211yescharacteristic
376#2367C2211yescharacteristic
377#2367C2211yescharacteristic
378#2367C2211yescharacteristic
379#2366C2211yescharacteristic
380#2366C2211yescharacteristic
381#2366C2211yescharacteristic
382#2364C2212yes—
383#2364C2212yes—
384#2363C2212yes—
385#2363C2211yescharacteristic
386#2363C2211yescharacteristic
387#2363C2211yescharacteristic
388#2361C2211yescharacteristic
389#2361C2211yescharacteristic
390#2360C2212yes—
391#2360C2211yescharacteristic
392#2359C2212yes—
393#2356C2211yescharacteristic
394#2356C2211yescharacteristic
395#2356C2211yescharacteristic
396#2354C2211yescharacteristic
397#2354C2211yescharacteristic
398#2353C2212yes—
399#2353C2212yes—
400#2353C2212yes—
401#2352C2212yes—
402#2352C2211yescharacteristic
403#2351C2211yescharacteristic
404#2349C2211yescharacteristic
405#2345C2211yescharacteristic
406#2344C2211yescharacteristic
407#2341C2211yescharacteristic
408Q8×C22⋊C4C2211yescharacteristic
409#2339C2211yescharacteristic
410#2339C2211yescharacteristic
411#2339C2212yes—
412#2335C2212yes—
413#2333C2212yes—
414#2333C2212yes—
415#2331C2211yescharacteristic
416#2329C2212yes—
417#2328C2212yes—
418#2328C2211yescharacteristic
419#2327C2211yescharacteristic
420#2326C2211yescharacteristic
421#2325C2212yes—
422#2324C2211yescharacteristic
423#2324C2212yes—
424#2324C2211yescharacteristic
425#2324C2211yescharacteristic
426#2323C2212yes—
427#2323C2211yescharacteristic
428#2322C2212yes—
429#2320C2211yescharacteristic
430#2319C2211yescharacteristic
431#2318C2212yes—
432#2318C2212yes—
433#2316C2211yescharacteristic
434#2311C2212yes—
435#2311C2211yescharacteristic
436#2311C2211yescharacteristic
437#2311C2211yescharacteristic
438#2311C2211yescharacteristic
439C4×#125C2211yescharacteristic
440C4×#124C2211yescharacteristic
441C4×#124C2212yes—
442C4×#124C2211yescharacteristic
443C4×C22⋊Q8C2211yescharacteristic
444C4×C22⋊Q8C2211yescharacteristic
445C4×#121C2211yescharacteristic
446C4×#121C2211yescharacteristic
447#2297C2211yescharacteristic
448#2296C2211yescharacteristic
449#2295C2211yescharacteristic
450C2×#391C2211yescharacteristic
451#2293C2211yescharacteristic
452#2293C2212yes—
453#2293C2212yes—
454C2×#389C2211yescharacteristic
455#2290C2211yescharacteristic
456#2290C2211yescharacteristic
457#2285C2211yescharacteristic
458C42×Q8C2211yescharacteristic
459C22×#41C2311yescharacteristic
460C22×#41C2311yescharacteristic
461C22×#41C2311yescharacteristic
462C22×#41C2312yes—
463C23×Q8C2311yescharacteristic
464#559—44no—
465#559—44no—
466#550—28no—
467#548—28no—
468#547—28no—
469#536—44no—
470#532—44no—
471C2×C4⋊Q8C2311yescharacteristic
472C2×C4⋊Q8C2311yescharacteristic
473C2×C4⋊Q8C2311yescharacteristic
474C2×#127C2311yescharacteristic
475C2×#127C2312yes—
476C2×#127C2311yescharacteristic
477C2×#127C2311yescharacteristic
478C2×#127C2311yescharacteristic
479C2×#127C2311yescharacteristic
480C2×#127C2311yescharacteristic
481C2×#126C2312yes—
482C2×#126C2312yes—
483C2×#125C2311yescharacteristic
484C2×#124C2311yescharacteristic
485C2×#124C2311yescharacteristic
486C2×#124C2311yescharacteristic
487C2×#124C2312yes—
488C2×#124C2311yescharacteristic
489C2×#124C2311yescharacteristic
490C2×#124C2311yescharacteristic
491C2×#124C2311yescharacteristic
492C2×#124C2311yescharacteristic
493C2×#124C2312yes—
494C2×#124C2312yes—
495C2×#124C2311yescharacteristic
496C2×#124C2312yes—
497C2×#124C2312yes—
498C2×#124C2312yes—
499C2×#123C2312yes—
500C2×#123C2312yes—
501C2×#123C2312yes—
502C2×#123C2312yes—
503C2×#123C2312yes—
504C2×#123C2312yes—
505C2×#123C2312yes—
506C2×#123C2312yes—
507C2×#123C2312yes—
508C2×#123C2312yes—
509C2×#123C2312yes—
510C2×#123C2312yes—
511C2×#123C2312yes—
512C2×#123C2312yes—
513C2×#123C2312yes—
514C2×#123C2312yes—
515C2×C22⋊Q8C2311yescharacteristic
516C2×C22⋊Q8C2312yes—
517C2×C22⋊Q8C2312yes—
518C2×C22⋊Q8C2311yescharacteristic
519C2×C22⋊Q8C2311yescharacteristic
520C2×C22⋊Q8C2312yes—
521C2×C22⋊Q8C2312yes—
522C2×C22⋊Q8C2312yes—
523C2×C22⋊Q8C2312yes—
524C2×#121C2311yescharacteristic
525C2×#121C2311yescharacteristic
526C2×#121C2311yescharacteristic
527C2×#121C2312yes—
528C2×#121C2312yes—
529C2×#121C2312yes—
530C2×#121C2311yescharacteristic
531C2×#121C2311yescharacteristic
532C2×#121C2312yes—
533C2×#121C2312yes—
534C2×#121C2312yes—
535C2×#121C2312yes—
536C2×#121C2312yes—
537C2×#121C2312yes—
538C2×#121C2312yes—
539C2×#121C2312yes—
540C2×#121C2312yes—
541C2×#121C2312yes—
542#520—44no—
543#519—44no—
544C2×C4×Q8C2311yescharacteristic
545C2×C4×Q8C2311yescharacteristic
546C2×C4×Q8C2311yescharacteristic
547C2×C4×Q8C2311yescharacteristic
548C2×C4×Q8C2311yescharacteristic
549C2×C4×Q8C2311yescharacteristic
550C2×C4×Q8C2311yescharacteristic
551C2×C4×Q8C2312yes—
552C2×C4×Q8C2311yescharacteristic
553C2×C4×Q8C2311yescharacteristic
554C2×C4×Q8C2311yescharacteristic
555C2×C4×Q8C2311yescharacteristic
556C2×C4×Q8C2312yes—
557C2×C4×D4C2312yes—
558C2×C4×D4C2311yescharacteristic
559C2×C4×D4C2312yes—
560C2×C4×D4C2312yes—
561C2×C4×D4C2312yes—
562C2×C4×D4C2311yescharacteristic
563C2×C4×D4C2311yescharacteristic
564C2×C4×D4C2311yescharacteristic
565C2×C4×D4C2312yes—
566C2×C4×D4C2311yescharacteristic
567C2×C4×D4C2312yes—
568C2×C4×D4C2311yescharacteristic
569C2×C4×D4C2311yescharacteristic
570C2×C4×D4C2311yescharacteristic
571C2×C4×D4C2312yes—
572C2×C4×D4C2312yes—
573C2×C4×D4C2311yescharacteristic
574C2×C4×D4C2312yes—
575C2×C4×D4C2312yes—
576C2×C4×D4C2312yes—
577C2×C4×D4C2312yes—
578C2×C4×D4C2312yes—
579C2×C4×D4C2312yes—
580C2×C4×D4C2312yes—
581C2×C4×D4C2311yescharacteristic
582C2×#117C2311yescharacteristic
583C2×#117C2311yescharacteristic
584C2×#117C2311yescharacteristic
585C2×#117C2311yescharacteristic
586C2×#117C2311yescharacteristic
587C2×#117C2312yes—
588C2×#117C2312yes—
589C2×#117C2312yes—
590C2×#117C2312yes—
591C2×#117C2312yes—
592C2×#117C2312yes—
593C22×C4⋊C4C2311yescharacteristic
594C22×C4⋊C4C2311yescharacteristic
595C22×C4⋊C4C2311yescharacteristic
596C22×C4⋊C4C2312yes—
597C22×C4⋊C4C2312yes—
598C22×C42C2311yescharacteristic
599C22×C42C2311yescharacteristic
600#401C2312yes—
601#401C2312yes—
602#400C2312yes—
603#400C2312yes—
604#400C2312yes—
605#400C2312yes—
606#400C2312yes—
607#400C2312yes—
608#400C2312yes—
609#400C2312yes—
610#400C2312yes—
611#400C2312yes—
612#400C2312yes—
613#400C2312yes—
614#400C2312yes—
615#400C2312yes—
616#400C2311yescharacteristic
617#400C2312yes—
618#400C2312yes—
619#400C2311yescharacteristic
620#400C2312yes—
621#400C2312yes—
622#400C2311yescharacteristic
623#400C2312yes—
624#400C2311yescharacteristic
625#400C2312yes—
626#400C2311yescharacteristic
627#400C2311yescharacteristic
628#400C2311yescharacteristic
629#400C2311yescharacteristic
630#400C2312yes—
631#400C2312yes—
632#400C2312yes—
633#400C2312yes—
634#399C2312yes—
635#399C2312yes—
636#399C2312yes—
637#399C2312yes—
638#399C2311yescharacteristic
639#399C2312yes—
640#399C2312yes—
641#399C2312yes—
642#399C2311yescharacteristic
643#399C2311yescharacteristic
644#399C2311yescharacteristic
645#399C2312yes—
646#399C2312yes—
647#399C2312yes—
648#398C2311yescharacteristic
649#398C2312yes—
650#398C2312yes—
651#398C2312yes—
652#398C2311yescharacteristic
653#398C2312yes—
654#398C2312yes—
655#398C2311yescharacteristic
656#398C2311yescharacteristic
657#398C2312yes—
658#398C2312yes—
659#398C2311yescharacteristic
660#398C2311yescharacteristic
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672#397C2312yes—
673#397C2312yes—
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675#397C2312yes—
676#397C2312yes—
677#397C2312yes—
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679#397C2312yes—
680#397C2312yes—
681#397C2312yes—
682#397C2312yes—
683#397C2312yes—
684#397C2312yes—
685#397C2312yes—
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688#397C2312yes—
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690#397C2312yes—
691#397C2312yes—
692#397C2312yes—
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695#397C2312yes—
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699#397C2312yes—
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701#397C2312yes—
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704#397C2312yes—
705#397C2312yes—
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707#396C2312yes—
708#396C2312yes—
709#396C2312yes—
710#396C2312yes—
711#396C2312yes—
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714#396C2312yes—
715#396C2312yes—
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728#395C2312yes—
729#395C2312yes—
730#395C2312yes—
731#395C2311yescharacteristic
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738#394C2312yes—
739#394C2312yes—
740#394C2312yes—
741#394C2312yes—
742#394C2312yes—
743#394C2312yes—
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745#394C2312yes—
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764#394C2312yes—
765#394C2312yes—
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769#394C2312yes—
770#394C2312yes—
771#394C2312yes—
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780#393C2312yes—
781#393C2312yes—
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785#393C2312yes—
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788#392C2312yes—
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795#392C2312yes—
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801#392C2312yes—
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803#392C2312yes—
804#392C2312yes—
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825#391C2312yes—
826#391C2312yes—
827#391C2312yes—
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833#391C2312yes—
834#391C2312yes—
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838#391C2312yes—
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840#391C2312yes—
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850#390C2312yes—
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855#390C2312yes—
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868#390C2312yes—
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899#389C2312yes—
900#389C2312yes—
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904#389C2312yes—
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911#389C2312yes—
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918#389C2312yes—
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926#388C2312yes—
927#388C2312yes—
928#388C2312yes—
929#388C2312yes—
930#388C2312yes—
931#388C2312yes—
932#388C2312yes—
933#388C2312yes—
934#388C2312yes—
935#388C2312yes—
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938#388C2312yes—
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940#388C2312yes—
941#388C2312yes—
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1002#388C2312yes—
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1009#387C2312yes—
1010#387C2312yes—
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1012#387C2312yes—
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1014#387C2312yes—
1015#387C2312yes—
1016#387C2312yes—
1017#387C2312yes—
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1022#387C2312yes—
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1024#387C2312yes—
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1036#387C2312yes—
1037#387C2312yes—
1038#387C2312yes—
1039#387C2312yes—
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1064#386C2312yes—
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1105#386C2312yes—
1106#386C2312yes—
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1180#383C2312yes—
1181#383C2312yes—
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1190#382C2312yes—
1191#382C2312yes—
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1197#381C2312yes—
1198#381C2312yes—
1199#381C2312yes—
1200#381C2312yes—
1201#381C2312yes—
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1247C4×C4⋊C4C2312yes—
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1263C4×C22⋊C4C2312yes—
1264C4×C22⋊C4C2312yes—
1265C4×C22⋊C4C2312yes—
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1267C4×C22⋊C4C2312yes—
1268C4×C22⋊C4C2312yes—
1269C4×C22⋊C4C2312yes—
1270C4×C22⋊C4C2312yes—
1271C4×C22⋊C4C2312yes—
1272C4×C22⋊C4C2312yes—
1273C4×C22⋊C4C2312yes—
1274C4×C22⋊C4C2312yes—
1275C4×C22⋊C4C2312yes—
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1277C4×C22⋊C4C2312yes—
1278C4×C22⋊C4C2312yes—
1279C4×C22⋊C4C2312yes—
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1295C2×#95C2312yes—
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1300C2×#95C2312yes—
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1303C2×#41—24no—
1304C2×#41—28no—
1305C2×#41—24no—
1306C2×#41—24no—
1307C2×#41—24no—
1308C2×#41—42no—
1309C2×#41—42no—
1310C2×#41—42no—
1311C2×#41—42no—
1312C2×#41—42no—
1313C2×#41—82no—
1314C2×#41—82no—
1315C22×Q8—24no—
1316C22×Q8—24no—
1317C22×Q8—42no—
1318C22×Q8C2411yescharacteristic
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1320C22×Q8C2412yes—
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1323C22×Q8C2411yescharacteristic
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1331C22×D4C2412yes—
1332C22×D4C2412yes—
1333C22×D4C2412yes—
1334C22×D4C2412yes—
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1336C22×D4C2412yes—
1337C22×D4C2412yes—
1338C22×D4C2412yes—
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1340C22×D4C2412yes—
1341C22×D4C2412yes—
1342C22×D4C2412yes—
1343C22×D4C2412yes—
1344C22×D4C2412yes—
1345C22×D4C2412yes—
1346C22×D4C2412yes—
1347C22×D4C2412yes—
1348C22×D4C2412yes—
1349C22×D4C2412yes—
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1351C23×C4C2412yes—
1352C23×C4C2412yes—
1353C23×C4C2411yescharacteristic
1354C23×C4C2411yescharacteristic
1355C23×C4C2412yes—
1356C23×C4C2412yes—
1357C23×C4C2412yes—
1358C23×C4C2412yes—
1359C23×C4C2411yescharacteristic
1360C23×C4C2412yes—
1361C23×C4C2412yes—
1362C23×C4C2412yes—
1363C23×C4C2411yescharacteristic
1364C23×C4C2412yes—
1365C23×C4C2412yes—
1366C23×C4C2412yes—
1367C23×C4C2412yes—
1368C23×C4C2412yes—
1369C23×C4C2412yes—
1370C23×C4C2411yescharacteristic
1371C23×C4C2412yes—
1372C23×C4C2411yescharacteristic
1373C4⋊Q8—24no—
1374C4⋊Q8—24no—
1375C4⋊Q8—42no—
1376#127—28no—
1377#127—24no—
1378#127—42no—
1379#127—42no—
1380#127—42no—
1381#127—42no—
1382#127—42no—
1383#126—82no—
1384#126—82no—
1385#125—42no—
1386#124—24no—
1387#124—24no—
1388#124—24no—
1389#124—28no—
1390#124—24no—
1391#124—44no—
1392#124—44no—
1393#124—42no—
1394#124—42no—
1395#124—42no—
1396#124—42no—
1397#124—42no—
1398#124—82no—
1399#124—82no—
1400#124—82no—
1401#123—28no—
1402#123—28no—
1403#123—44no—
1404#123—44no—
1405#123—44no—
1406#123—44no—
1407#123—44no—
1408#123—44no—
1409#123—82no—
1410#123—82no—
1411#123—82no—
1412#123—82no—
1413#123—82no—
1414#123—82no—
1415#123—82no—
1416#123—82no—
1417C22⋊Q8—24no—
1418C22⋊Q8—28no—
1419C22⋊Q8—28no—
1420C22⋊Q8—42no—
1421C22⋊Q8—44no—
1422C22⋊Q8—44no—
1423C22⋊Q8—42no—
1424C22⋊Q8—82no—
1425C22⋊Q8—82no—
1426#121—28no—
1427#121—24no—
1428#121—24no—
1429#121—24no—
1430#121—24no—
1431#121—24no—
1432#121—28no—
1433#121—28no—
1434#121—44no—
1435#121—44no—
1436#121—44no—
1437#121—44no—
1438#121—82no—
1439#121—82no—
1440#121—82no—
1441#121—82no—
1442#121—82no—
1443#121—82no—
1444C4×Q8—24no—
1445C4×Q8—24no—
1446C4×Q8—24no—
1447C4×Q8—24no—
1448C4×Q8—24no—
1449C4×Q8—42no—
1450C4×Q8—42no—
1451C4×Q8—42no—
1452C4×Q8—42no—
1453C4×Q8—42no—
1454C4×Q8—44no—
1455C4×Q8—44no—
1456C4×Q8—42no—
1457C4×D4—28no—
1458C4×D4—28no—
1459C4×D4—24no—
1460C4×D4—44no—
1461C4×D4—44no—
1462C4×D4—44no—
1463C4×D4—42no—
1464C4×D4—42no—
1465C4×D4—44no—
1466C4×D4—42no—
1467C4×D4—44no—
1468C4×D4—44no—
1469C4×D4—42no—
1470C4×D4—42no—
1471C4×D4—42no—
1472C4×D4—42no—
1473C4×D4—42no—
1474C4×D4—44no—
1475C4×D4—44no—
1476C4×D4—44no—
1477C4×D4—44no—
1478C4×D4—82no—
1479C4×D4—82no—
1480C4×D4—82no—
1481C4×D4#4118yes—
1482#117—42no—
1483#117—44no—
1484#117—42no—
1485#117—44no—
1486#117—42no—
1487#117—42no—
1488#117—42no—
1489#117—44no—
1490#117—82no—
1491#117—82no—
1492#117—82no—
1493C2×C4⋊C4—24no—
1494C2×C4⋊C4—24no—
1495C2×C4⋊C4—42no—
1496C2×C4⋊C4—44no—
1497C2×C4⋊C4—82no—
1498C2×C4⋊C4C2411yescharacteristic
1499C2×C4⋊C4C2411yescharacteristic
1500C2×C4⋊C4C2412yes—
1501C2×C4⋊C4C2411yescharacteristic
1502C2×C4⋊C4C2412yes—
1503C2×C4⋊C4C2411yescharacteristic
1504C2×C4⋊C4C2411yescharacteristic
1505C2×C4⋊C4C2412yes—
1506C2×C4⋊C4C2412yes—
1507C2×C4⋊C4C2411yescharacteristic
1508C2×C4⋊C4C2412yes—
1509C2×C4⋊C4C2411yescharacteristic
1510C2×C4⋊C4C2411yescharacteristic
1511C2×C4⋊C4C2411yescharacteristic
1512C2×C4⋊C4C2412yes—
1513C2×C4⋊C4C2412yes—
1514C2×C4⋊C4C2412yes—
1515C2×C4⋊C4C2411yescharacteristic
1516C2×C4⋊C4C2412yes—
1517C2×C4⋊C4C2411yescharacteristic
1518C2×C4⋊C4C2412yes—
1519C2×C4⋊C4C2411yescharacteristic
1520C2×C4⋊C4C2411yescharacteristic
1521C2×C4⋊C4C2411yescharacteristic
1522C2×C4⋊C4C2412yes—
1523C2×C4⋊C4C2412yes—
1524C2×C4⋊C4C2411yescharacteristic
1525C2×C4⋊C4C2412yes—
1526C2×C4⋊C4C2412yes—
1527C2×C4⋊C4C2412yes—
1528C2×C4⋊C4C2412yes—
1529C2×C4⋊C4C2411yescharacteristic
1530C2×C4⋊C4C2411yescharacteristic
1531C2×C4⋊C4C2411yescharacteristic
1532C2×C4⋊C4C2411yescharacteristic
1533C2×C4⋊C4C2411yescharacteristic
1534C2×C4⋊C4C2412yes—
1535C2×C4⋊C4C2412yes—
1536C2×C4⋊C4C2412yes—
1537C2×C4⋊C4C2411yescharacteristic
1538C2×C4⋊C4C2411yescharacteristic
1539C2×C4⋊C4C2412yes—
1540C2×C4⋊C4C2412yes—
1541C2×C4⋊C4C2412yes—
1542C2×C4⋊C4C2411yescharacteristic
1543C2×C4⋊C4C2411yescharacteristic
1544C2×C4⋊C4C2411yescharacteristic
1545C2×C4⋊C4C2411yescharacteristic
1546C2×C4⋊C4C2411yescharacteristic
1547C2×C4⋊C4C2412yes—
1548C2×C4⋊C4C2412yes—
1549C2×C4⋊C4C2412yes—
1550C2×C4⋊C4C2412yes—
1551C2×C4⋊C4C2411yescharacteristic
1552C2×C4⋊C4C2411yescharacteristic
1553C2×C4⋊C4C2411yescharacteristic
1554C2×C4⋊C4C2411yescharacteristic
1555C2×C4⋊C4C2412yes—
1556C2×C4⋊C4C2411yescharacteristic
1557C2×C4⋊C4C2411yescharacteristic
1558C2×C4⋊C4C2411yescharacteristic
1559C2×C4⋊C4C2411yescharacteristic
1560C2×C4⋊C4C2411yescharacteristic
1561C2×C4⋊C4C2411yescharacteristic
1562C2×C4⋊C4C2411yescharacteristic
1563C2×C4⋊C4C2412yes—
1564C2×C4⋊C4C2412yes—
1565C2×C4⋊C4C2412yes—
1566C2×C4⋊C4C2412yes—
1567C2×C4⋊C4C2412yes—
1568C2×C4⋊C4C2412yes—
1569C2×C4⋊C4C2412yes—
1570C2×C4⋊C4C2411yescharacteristic
1571C2×C4⋊C4C2411yescharacteristic
1572C2×C4⋊C4C2411yescharacteristic
1573C2×C4⋊C4C2411yescharacteristic
1574C2×C4⋊C4C2411yescharacteristic
1575C2×C4⋊C4C2411yescharacteristic
1576C2×C4⋊C4C2411yescharacteristic
1577C2×C4⋊C4C2411yescharacteristic
1578C2×C4⋊C4C2412yes—
1579C2×C4⋊C4C2411yescharacteristic
1580C2×C4⋊C4C2411yescharacteristic
1581C2×C4⋊C4C2411yescharacteristic
1582C2×C4⋊C4C2411yescharacteristic
1583C2×C4⋊C4C2411yescharacteristic
1584C2×C4⋊C4C2411yescharacteristic
1585C2×C4⋊C4C2411yescharacteristic
1586C2×C4⋊C4C2411yescharacteristic
1587C2×C4⋊C4C2411yescharacteristic
1588C2×C4⋊C4C2411yescharacteristic
1589C2×C4⋊C4C2411yescharacteristic
1590C2×C4⋊C4C2411yescharacteristic
1591C2×C4⋊C4C2411yescharacteristic
1592C2×C22⋊C4C2412yes—
1593C2×C22⋊C4C2412yes—
1594C2×C22⋊C4C2411yescharacteristic
1595C2×C22⋊C4C2412yes—
1596C2×C22⋊C4C2412yes—
1597C2×C22⋊C4C2412yes—
1598C2×C22⋊C4C2412yes—
1599C2×C22⋊C4C2412yes—
1600C2×C22⋊C4C2412yes—
1601C2×C22⋊C4C2412yes—
1602C2×C22⋊C4C2412yes—
1603C2×C22⋊C4C2412yes—
1604C2×C22⋊C4C2412yes—
1605C2×C22⋊C4C2412yes—
1606C2×C22⋊C4C2412yes—
1607C2×C22⋊C4C2412yes—
1608C2×C22⋊C4C2412yes—
1609C2×C22⋊C4C2412yes—
1610C2×C22⋊C4C2411yescharacteristic
1611C2×C22⋊C4C2411yescharacteristic
1612C2×C22⋊C4C2411yescharacteristic
1613C2×C22⋊C4C2411yescharacteristic
1614C2×C22⋊C4C2411yescharacteristic
1615C2×C22⋊C4C2412yes—
1616C2×C22⋊C4C2412yes—
1617C2×C22⋊C4C2412yes—
1618C2×C22⋊C4C2412yes—
1619C2×C22⋊C4C2411yescharacteristic
1620C2×C22⋊C4C2411yescharacteristic
1621C2×C22⋊C4C2412yes—
1622C2×C22⋊C4C2412yes—
1623C2×C22⋊C4C2412yes—
1624C2×C22⋊C4C2411yescharacteristic
1625C2×C22⋊C4C2411yescharacteristic
1626C2×C22⋊C4C2411yescharacteristic
1627C2×C22⋊C4C2412yes—
1628C2×C22⋊C4C2412yes—
1629C2×C22⋊C4C2412yes—
1630C2×C22⋊C4C2412yes—
1631C2×C22⋊C4C2412yes—
1632C2×C22⋊C4C2412yes—
1633C2×C22⋊C4C2412yes—
1634C2×C22⋊C4C2412yes—
1635C2×C22⋊C4C2412yes—
1636C2×C22⋊C4C2412yes—
1637C2×C22⋊C4C2412yes—
1638C2×C22⋊C4C2412yes—
1639C2×C22⋊C4C2412yes—
1640C2×C22⋊C4C2412yes—
1641C2×C22⋊C4C2412yes—
1642C2×C22⋊C4C2412yes—
1643C2×C22⋊C4C2412yes—
1644C2×C22⋊C4C2412yes—
1645C2×C22⋊C4C2412yes—
1646C2×C22⋊C4C2412yes—
1647C2×C22⋊C4C2412yes—
1648C2×C22⋊C4C2412yes—
1649C2×C22⋊C4C2412yes—
1650C2×C22⋊C4C2412yes—
1651C2×C22⋊C4C2412yes—
1652C2×C22⋊C4C2412yes—
1653C2×C22⋊C4C2412yes—
1654C2×C22⋊C4C2412yes—
1655C2×C22⋊C4C2412yes—
1656C2×C22⋊C4C2412yes—
1657C2×C22⋊C4C2412yes—
1658C2×C22⋊C4C2412yes—
1659C2×C22⋊C4C2412yes—
1660C2×C22⋊C4C2411yescharacteristic
1661C2×C22⋊C4C2411yescharacteristic
1662C2×C22⋊C4C2411yescharacteristic
1663C2×C22⋊C4C2412yes—
1664C2×C22⋊C4C2411yescharacteristic
1665C2×C22⋊C4C2411yescharacteristic
1666C2×C22⋊C4C2412yes—
1667C2×C22⋊C4C2412yes—
1668C2×C22⋊C4C2412yes—
1669C2×C22⋊C4C2412yes—
1670C2×C22⋊C4C2412yes—
1671C2×C22⋊C4C2412yes—
1672C2×C22⋊C4C2412yes—
1673C2×C22⋊C4C2412yes—
1674C2×C22⋊C4C2412yes—
1675C2×C22⋊C4C2412yes—
1676C2×C22⋊C4C2412yes—
1677C2×C22⋊C4C2412yes—
1678C2×C22⋊C4C2412yes—
1679C2×C22⋊C4C2412yes—
1680C2×C22⋊C4C2412yes—
1681C2×C22⋊C4C2412yes—
1682C2×C22⋊C4C2412yes—
1683C2×C22⋊C4C2412yes—
1684C2×C22⋊C4C2411yescharacteristic
1685C2×C22⋊C4C2411yescharacteristic
1686C2×C22⋊C4C2411yescharacteristic
1687C2×C22⋊C4C2412yes—
1688C2×C22⋊C4C2411yescharacteristic
1689C2×C22⋊C4C2412yes—
1690C2×C22⋊C4C2412yes—
1691C2×C22⋊C4C2412yes—
1692C2×C22⋊C4C2411yescharacteristic
1693C2×C22⋊C4C2411yescharacteristic
1694C2×C42—42no—
1695C2×C42—42no—
1696C2×C42C2411yescharacteristic
1697C2×C42C2412yes—
1698C2×C42C2412yes—
1699C2×C42C2412yes—
1700C2×C42C2411yescharacteristic
1701C2×C42C2411yescharacteristic
1702C2×C42C2411yescharacteristic
1703C2×C42C2411yescharacteristic
1704C2×C42C2411yescharacteristic
1705C2×C42C2411yescharacteristic
1706C2×C42C2412yes—
1707C2×C42C2411yescharacteristic
1708C2×C42C2411yescharacteristic
1709C2×C42C2412yes—
1710C2×C42C2412yes—
1711C2×C42C2411yescharacteristic
1712C2×C42C2411yescharacteristic
1713C2×C42C2411yescharacteristic
1714C2×C42C2412yes—
1715C2×C42C2412yes—
1716C2×C42C2412yes—
1717C2×C42C2412yes—
1718C2×C42C2412yes—
1719C2×C42C2412yes—
1720C2×C42C2412yes—
1721C2×C42C2412yes—
1722C2×C42C2411yescharacteristic
1723C2×C42C2411yescharacteristic
1724C2×C42C2412yes—
1725C2×C42C2412yes—
1726C2×C42C2411yescharacteristic
1727C2×C42C2411yescharacteristic
1728C2×C42C2411yescharacteristic
1729C2×C42C2412yes—
1730C2×C42C2411yescharacteristic
1731C2×C42C2412yes—
1732C2×C42C2411yescharacteristic
1733C2×C42C2411yescharacteristic
1734C2×C42C2411yescharacteristic
1735#95C2412yes—
1736#95C2411yescharacteristic
1737#95C2411yescharacteristic
1738#95C2411yescharacteristic
1739#95C2412yes—
1740#95C2412yes—
1741#95C2412yes—
1742#95C2412yes—
1743#95C2412yes—
1744#95C2412yes—
1745#95C2412yes—
1746#95C2412yes—
1747#95C2412yes—
1748#95C2412yes—
1749#95C2412yes—
1750#95C2412yes—
1751#95C2412yes—
1752#95C2412yes—
1753#95C2412yes—
1754#95C2412yes—
1755#95C2412yes—
1756#95C2412yes—
1757#95C2412yes—
1758#95C2411yescharacteristic
1759#95C2411yescharacteristic
1760#95C2411yescharacteristic
1761#95C2412yes—
1762#95C2411yescharacteristic
1763#95C2412yes—
1764#95C2411yescharacteristic
1765#95C2411yescharacteristic
1766#95C2412yes—
1767#95C2412yes—
1768#95C2411yescharacteristic
1769#95C2412yes—
1770#95C2412yes—
1771#95C2411yescharacteristic
1772#95C2411yescharacteristic
1773#95C2411yescharacteristic
1774#95C2411yescharacteristic
1775#95C2412yes—
1776#95C2411yescharacteristic
1777#95C2411yescharacteristic
1778#95C2411yescharacteristic
1779#95C2411yescharacteristic
1780#95C2411yescharacteristic
1781#95C2411yescharacteristic
1782#95C2412yes—
1783#95C2411yescharacteristic
1784#95C2411yescharacteristic
1785#95C2411yescharacteristic
1786#95C2412yes—
1787#95C2412yes—
1788#95C2412yes—
1789#95C2411yescharacteristic
1790#95C2412yes—
1791#95C2412yes—
1792#95C2412yes—
1793#95C2412yes—
1794#95C2412yes—
1795#95C2412yes—
1796#95C2412yes—
1797#95C2412yes—
1798#95C2411yescharacteristic
1799#95C2412yes—
1800#95C2412yes—
1801#95C2412yes—
1802#95C2412yes—
1803#95C2412yes—
1804#95C2412yes—
1805#95C2412yes—
1806#95C2411yescharacteristic
1807#95C2411yescharacteristic
1808#95C2412yes—
1809#95C2411yescharacteristic
1810#95C2411yescharacteristic
1811#95C2412yes—
1812#95C2412yes—
1813#95C2412yes—
1814#95C2411yescharacteristic
1815#95C2411yescharacteristic
1816#95C2412yes—
1817#95C2411yescharacteristic
1818#95C2412yes—
1819#95C2411yescharacteristic
1820#95C2411yescharacteristic
1821#95C2411yescharacteristic
1822#95C2411yescharacteristic
1823#95C2411yescharacteristic
1824#95C2411yescharacteristic
1825#95C2411yescharacteristic
1826#95C2412yes—
1827#95C2412yes—
1828#95C2411yescharacteristic
1829#95C2411yescharacteristic
1830#95C2411yescharacteristic
1831#95C2412yes—
1832#95C2411yescharacteristic
1833#95C2411yescharacteristic
1834#95C2412yes—
1835#95C2412yes—
1836#95C2411yescharacteristic
1837#95C2411yescharacteristic
1838#95C2411yescharacteristic
1839#95C2411yescharacteristic
1840#95C2411yescharacteristic
1841#95C2411yescharacteristic
1842#95C2411yescharacteristic
1843#95C2411yescharacteristic
1844#95C2412yes—
1845#95C2412yes—
1846#95C2412yes—
1847#95C2412yes—
1848#95C2412yes—
1849#95C2412yes—
1850#95C2412yes—
1851#95C2412yes—
1852#95C2412yes—
1853#95C2412yes—
1854#95C2412yes—
1855#95C2412yes—
1856C24C2512yes—
1857C24C2512yes—
1858C24C2512yes—
1859C24C2512yes—
1860C24C2511yescharacteristic
1861C24C2511yescharacteristic
1862#41—416no—
1863#41—88no—
1864#41—88no—
1865#41—816no—
1866C2×Q8—22no—
1867C2×Q8—22no—
1868C2×Q8—24no—
1869C2×Q8—22no—
1870C2×Q8—24no—
1871C2×Q8—24no—
1872C2×Q8—22no—
1873C2×Q8—22no—
1874C2×Q8—22no—
1875C2×Q8—22no—
1876C2×Q8—22no—
1877C2×Q8—42no—
1878C2×Q8—41no—
1879C2×Q8—41no—
1880C2×Q8—41no—
1881C2×Q8—41no—
1882C2×Q8—41no—
1883C2×Q8—41no—
1884C2×Q8—41no—
1885C2×Q8—41no—
1886C2×Q8—42no—
1887C2×Q8—42no—
1888C2×Q8—41no—
1889C2×Q8—416no—
1890C2×Q8H(5,𝔽2)14yes—
1891C2×D4—24no—
1892C2×D4—24no—
1893C2×D4—24no—
1894C2×D4—24no—
1895C2×D4—24no—
1896C2×D4—24no—
1897C2×D4—24no—
1898C2×D4—24no—
1899C2×D4—22no—
1900C2×D4—22no—
1901C2×D4—22no—
1902C2×D4—22no—
1903C2×D4—24no—
1904C2×D4—24no—
1905C2×D4—24no—
1906C2×D4—22no—
1907C2×D4—22no—
1908C2×D4—22no—
1909C2×D4—22no—
1910C2×D4—22no—
1911C2×D4—22no—
1912C2×D4—22no—
1913C2×D4—22no—
1914C2×D4—24no—
1915C2×D4—42no—
1916C2×D4—42no—
1917C2×D4—42no—
1918C2×D4—41no—
1919C2×D4—41no—
1920C2×D4—42no—
1921C2×D4—42no—
1922C2×D4—42no—
1923C2×D4—42no—
1924C2×D4—42no—
1925C2×D4—42no—
1926C2×D4—42no—
1927C2×D4—42no—
1928C2×D4—42no—
1929C2×D4—42no—
1930C2×D4—42no—
1931C2×D4—42no—
1932C2×D4—42no—
1933C2×D4—42no—
1934C2×D4—42no—
1935C2×D4—42no—
1936C2×D4—42no—
1937C2×D4—42no—
1938C2×D4—42no—
1939C2×D4—42no—
1940C2×D4—42no—
1941C2×D4—42no—
1942C2×D4—42no—
1943C2×D4—42no—
1944C2×D4—42no—
1945C2×D4—42no—
1946C2×D4—42no—
1947C2×D4—42no—
1948C2×D4—42no—
1949C2×D4—42no—
1950C2×D4—42no—
1951C2×D4—42no—
1952C2×D4—42no—
1953C2×D4—42no—
1954C2×D4—42no—
1955C2×D4—42no—
1956C2×D4—42no—
1957C2×D4—42no—
1958C2×D4—42no—
1959C2×D4—42no—
1960C2×D4—42no—
1961C2×D4—42no—
1962C2×D4—42no—
1963C2×D4—42no—
1964C2×D4—42no—
1965C2×D4C2×#4114yes—
1966C22×C4—22no—
1967C22×C4—22no—
1968C22×C4—22no—
1969C22×C4—22no—
1970C22×C4—24no—
1971C22×C4—24no—
1972C22×C4—24no—
1973C22×C4—24no—
1974C22×C4—24no—
1975C22×C4—24no—
1976C22×C4—24no—
1977C22×C4—24no—
1978C22×C4—24no—
1979C22×C4—24no—
1980C22×C4—22no—
1981C22×C4—42no—
1982C22×C4—42no—
1983C22×C4—42no—
1984C22×C4—42no—
1985C22×C4—41no—
1986C22×C4—41no—
1987C22×C4—41no—
1988C22×C4—41no—
1989C22×C4—41no—
1990C22×C4—42no—
1991C22×C4—42no—
1992C22×C4—42no—
1993C22×C4—42no—
1994C22×C4—42no—
1995C22×C4—42no—
1996C22×C4—41no—
1997C22×C4—41no—
1998C22×C4—41no—
1999C22×C4—42no—
2000C22×C4—42no—
2001C22×C4—42no—
2002C22×C4—41no—
2003C22×C4—42no—
2004C22×C4—42no—
2005C22×C4—41no—
2006C22×C4—41no—
2007C22×C4—42no—
2008C22×C4—42no—
2009C22×C4—42no—
2010C22×C4—42no—
2011C22×C4—42no—
2012C22×C4—42no—
2013C22×C4—42no—
2014C22×C4—42no—
2015C22×C4—42no—
2016C22×C4—42no—
2017C22×C4—42no—
2018C22×C4—42no—
2019C22×C4—42no—
2020C22×C4—42no—
2021C22×C4—42no—
2022C22×C4—42no—
2023C22×C4—42no—
2024C22×C4—42no—
2025C22×C4—42no—
2026C22×C4—42no—
2027C22×C4—42no—
2028C22×C4—42no—
2029C22×C4—42no—
2030C22×C4C2×#4114yes—
2031C22×C4C2×#4114yes—
2032C22×C4C2512yes—
2033C22×C4C2511yescharacteristic
2034C22×C4C2512yes—
2035C22×C4C2511yescharacteristic
2036C22×C4C2511yescharacteristic
2037C22×C4C2512yes—
2038C22×C4C2511yescharacteristic
2039C22×C4C2511yescharacteristic
2040C22×C4C2512yes—
2041C22×C4C2511yescharacteristic
2042C22×C4C2511yescharacteristic
2043C22×C4C2512yes—
2044C22×C4C2512yes—
2045C22×C4C2512yes—
2046C22×C4C2511yescharacteristic
2047C22×C4C2511yescharacteristic
2048C22×C4C2511yescharacteristic
2049C22×C4C2511yescharacteristic
2050C22×C4C2512yes—
2051C22×C4C2511yescharacteristic
2052C22×C4C2512yes—
2053C22×C4C2511yescharacteristic
2054C22×C4C2511yescharacteristic
2055C22×C4C2511yescharacteristic
2056C22×C4C2511yescharacteristic
2057C22×C4C2511yescharacteristic
2058C22×C4C2511yescharacteristic
2059C22×C4C2512yes—
2060C22×C4C2511yescharacteristic
2061C22×C4C2511yescharacteristic
2062C22×C4C2512yes—
2063C22×C4C2511yescharacteristic
2064C22×C4C2511yescharacteristic
2065C22×C4C2511yescharacteristic
2066C22×C4C2511yescharacteristic
2067C22×C4C2511yescharacteristic
2068C22×C4C2511yescharacteristic
2069C22×C4C2511yescharacteristic
2070C22×C4C2512yes—
2071C22×C4C2511yescharacteristic
2072C22×C4C2511yescharacteristic
2073C4⋊C4—22no—
2074C4⋊C4—22no—
2075C4⋊C4—22no—
2076C4⋊C4—24no—
2077C4⋊C4—24no—
2078C4⋊C4—24no—
2079C4⋊C4—22no—
2080C4⋊C4—24no—
2081C4⋊C4—24no—
2082C4⋊C4—22no—
2083C4⋊C4—24no—
2084C4⋊C4—24no—
2085C4⋊C4—22no—
2086C4⋊C4—22no—
2087C4⋊C4—24no—
2088C4⋊C4—22no—
2089C4⋊C4—24no—
2090C4⋊C4—24no—
2091C4⋊C4—24no—
2092C4⋊C4—22no—
2093C4⋊C4—22no—
2094C4⋊C4—22no—
2095C4⋊C4—22no—
2096C4⋊C4—22no—
2097C4⋊C4—22no—
2098C4⋊C4—42no—
2099C4⋊C4—41no—
2100C4⋊C4—42no—
2101C4⋊C4—42no—
2102C4⋊C4—42no—
2103C4⋊C4—42no—
2104C4⋊C4—41no—
2105C4⋊C4—41no—
2106C4⋊C4—41no—
2107C4⋊C4—41no—
2108C4⋊C4—41no—
2109C4⋊C4—41no—
2110C4⋊C4—41no—
2111C4⋊C4—41no—
2112C4⋊C4—41no—
2113C4⋊C4—41no—
2114C4⋊C4—41no—
2115C4⋊C4—41no—
2116C4⋊C4—42no—
2117C4⋊C4—42no—
2118C4⋊C4—41no—
2119C4⋊C4—41no—
2120C4⋊C4—41no—
2121C4⋊C4—41no—
2122C4⋊C4—42no—
2123C4⋊C4—42no—
2124C4⋊C4—42no—
2125C4⋊C4—42no—
2126C4⋊C4—42no—
2127C4⋊C4—42no—
2128C4⋊C4—41no—
2129C4⋊C4—41no—
2130C4⋊C4—41no—
2131C4⋊C4—42no—
2132C4⋊C4—42no—
2133C4⋊C4—42no—
2134C4⋊C4—41no—
2135C4⋊C4—41no—
2136C4⋊C4—41no—
2137C4⋊C4—41no—
2138C4⋊C4—41no—
2139C4⋊C4—41no—
2140C4⋊C4—41no—
2141C4⋊C4—41no—
2142C4⋊C4—41no—
2143C4⋊C4—41no—
2144C4⋊C4—41no—
2145C4⋊C4—42no—
2146C4⋊C4—41no—
2147C4⋊C4—41no—
2148C4⋊C4—42no—
2149C4⋊C4—42no—
2150C4⋊C4—42no—
2151C4⋊C4—42no—
2152C4⋊C4—42no—
2153C4⋊C4—42no—
2154C4⋊C4—41no—
2155C4⋊C4—41no—
2156C4⋊C4—41no—
2157C4⋊C4—41no—
2158C4⋊C4—41no—
2159C4⋊C4—41no—
2160C4⋊C4—42no—
2161C4⋊C4—41no—
2162C4⋊C4—41no—
2163C4⋊C4—41no—
2164C4⋊C4—41no—
2165C4⋊C4—41no—
2166C4⋊C4C2×#4114yes—
2167C22⋊C4—24no—
2168C22⋊C4—24no—
2169C22⋊C4—24no—
2170C22⋊C4—24no—
2171C22⋊C4—24no—
2172C22⋊C4—24no—
2173C22⋊C4—24no—
2174C22⋊C4—24no—
2175C22⋊C4—24no—
2176C22⋊C4—24no—
2177C22⋊C4—24no—
2178C22⋊C4—24no—
2179C22⋊C4—24no—
2180C22⋊C4—24no—
2181C22⋊C4—24no—
2182C22⋊C4—24no—
2183C22⋊C4—22no—
2184C22⋊C4—42no—
2185C22⋊C4—41no—
2186C22⋊C4—41no—
2187C22⋊C4—42no—
2188C22⋊C4—42no—
2189C22⋊C4—42no—
2190C22⋊C4—41no—
2191C22⋊C4—41no—
2192C22⋊C4—41no—
2193C22⋊C4—41no—
2194C22⋊C4—41no—
2195C22⋊C4—42no—
2196C22⋊C4—41no—
2197C22⋊C4—42no—
2198C22⋊C4—41no—
2199C22⋊C4—41no—
2200C22⋊C4—42no—
2201C22⋊C4—41no—
2202C22⋊C4—41no—
2203C22⋊C4—41no—
2204C22⋊C4—42no—
2205C22⋊C4—42no—
2206C22⋊C4—42no—
2207C22⋊C4—42no—
2208C22⋊C4—42no—
2209C22⋊C4—42no—
2210C22⋊C4—42no—
2211C22⋊C4—42no—
2212C22⋊C4—42no—
2213C22⋊C4—42no—
2214C22⋊C4—42no—
2215C22⋊C4—42no—
2216C22⋊C4—42no—
2217C22⋊C4—42no—
2218C22⋊C4—42no—
2219C22⋊C4—42no—
2220C22⋊C4—42no—
2221C22⋊C4—42no—
2222C22⋊C4—41no—
2223C22⋊C4—42no—
2224C22⋊C4—42no—
2225C22⋊C4—42no—
2226C22⋊C4—42no—
2227C22⋊C4—42no—
2228C22⋊C4—42no—
2229C22⋊C4—42no—
2230C22⋊C4—42no—
2231C22⋊C4—42no—
2232C22⋊C4—42no—
2233C22⋊C4—42no—
2234C22⋊C4—42no—
2235C22⋊C4—42no—
2236C22⋊C4—42no—
2237C22⋊C4—42no—
2238C22⋊C4—42no—
2239C22⋊C4—42no—
2240C22⋊C4—41no—
2241C22⋊C4—41no—
2242C22⋊C4—41no—
2243C22⋊C4—42no—
2244C22⋊C4—42no—
2245C22⋊C4—42no—
2246C22⋊C4—42no—
2247C22⋊C4—42no—
2248C22⋊C4—42no—
2249C22⋊C4—41no—
2250C22⋊C4—42no—
2251C22⋊C4—41no—
2252C22⋊C4—42no—
2253C22⋊C4—42no—
2254C22⋊C4—42no—
2255C22⋊C4—42no—
2256C22⋊C4—42no—
2257C22⋊C4—42no—
2258C22⋊C4—42no—
2259C22⋊C4—42no—
2260C22⋊C4—42no—
2261C22⋊C4—42no—
2262C22⋊C4—42no—
2263C22⋊C4—42no—
2264C22⋊C4—42no—
2265C22⋊C4—42no—
2266C22⋊C4—42no—
2267C22⋊C4C2×#4114yes—
2268C22⋊C4C2×#4114yes—
2269C42—24no—
2270C42—24no—
2271C42—22no—
2272C42—22no—
2273C42—24no—
2274C42—22no—
2275C42—24no—
2276C42—24no—
2277C42—22no—
2278C42—22no—
2279C42—22no—
2280C42—22no—
2281C42—22no—
2282C42—22no—
2283C42—22no—
2284C42—24no—
2285C42—22no—
2286C42—22no—
2287C42—41no—
2288C42—41no—
2289C42—41no—
2290C42—41no—
2291C42—41no—
2292C42—42no—
2293C42—42no—
2294C42—42no—
2295C42—42no—
2296C42—42no—
2297C42—42no—
2298C42—42no—
2299C42—42no—
2300C42—42no—
2301C42—42no—
2302C42—42no—
2303C42—41no—
2304C42—41no—
2305C42—41no—
2306C42—42no—
2307C42C2×#4114yes—
2308C23—21no—
2309C23—21no—
2310C23—21no—
2311C23—21no—
2312C23—21no—
2313C23—21no—
2314C23—21no—
2315C23—21no—
2316C23—21no—
2317C23—21no—
2318C23—21no—
2319C23—21no—
2320C23—22no—
2321C23—22no—
2322C23—22no—
2323C23—22no—
2324C23—22no—
2325C23—22no—
2326C23—22no—
2327C23—22no—
2328C23—22no—
2329C23—22no—
2330C23—22no—
2331C23—22no—
2332C23—22no—
2333C23—22no—
2334C23—22no—
2335C23—22no—
2336C23—22no—
2337C23—22no—
2338C23—22no—
2339C23—22no—
2340C23—22no—
2341C23—22no—
2342C23—22no—
2343C23—22no—
2344C23—22no—
2345C23—22no—
2346C23—22no—
2347C23—22no—
2348C23C22×#4112yes—
2349C23C22×#4112yes—
2350C23C2611yescharacteristic
2351Q8—28no—
2352Q8—48no—
2353Q8—44no—
2354Q8—44no—
2355Q8—84no—
2356Q8—82no—
2357Q8—82no—
2358Q8—82no—
2359D4—44no—
2360D4—48no—
2361D4—48no—
2362D4—44no—
2363D4—44no—
2364D4—44no—
2365D4—44no—
2366D4—84no—
2367D4—84no—
2368D4—84no—
2369D4—84no—
2370D4—84no—
2371D4—84no—
2372D4—84no—
2373D4—84no—
2374D4—84no—
2375D4—84no—
2376D4—84no—
2377D4—84no—
2378D4—84no—
2379D4—84no—
2380D4—162no—
2381D4—162no—
2382D4—162no—
2383D4—162no—
2384C2×C4—22no—
2385C2×C4—21no—
2386C2×C4—21no—
2387C2×C4—21no—
2388C2×C4—21no—
2389C2×C4—21no—
2390C2×C4—22no—
2391C2×C4—21no—
2392C2×C4—21no—
2393C2×C4—21no—
2394C2×C4—21no—
2395C2×C4—21no—
2396C2×C4—28no—
2397C2×C4—28no—
2398C2×C4—22no—
2399C2×C4—22no—
2400C2×C4—22no—
2401C2×C4—22no—
2402C2×C4—22no—
2403C2×C4—22no—
2404C2×C4—22no—
2405C2×C4—21no—
2406C2×C4—21no—
2407C2×C4—21no—
2408C2×C4—22no—
2409C2×C4—22no—
2410C2×C4—21no—
2411C2×C4—21no—
2412C2×C4—21no—
2413C2×C4—21no—
2414C2×C4—21no—
2415C2×C4—21no—
2416C2×C4—21no—
2417C2×C4—21no—
2418C2×C4—21no—
2419C2×C4—21no—
2420C2×C4—22no—
2421C2×C4—21no—
2422C2×C4—22no—
2423C2×C4—22no—
2424C2×C4—21no—
2425C2×C4—21no—
2426C2×C4—21no—
2427C2×C4—21no—
2428C2×C4—21no—
2429C2×C4—21no—
2430C2×C4—21no—
2431C2×C4—22no—
2432C2×C4—21no—
2433C2×C4—21no—
2434C2×C4—22no—
2435C2×C4—22no—
2436C2×C4—22no—
2437C2×C4—21no—
2438C2×C4—21no—
2439C2×C4—22no—
2440C2×C4—21no—
2441C2×C4—22no—
2442C2×C4—21no—
2443C2×C4—21no—
2444C2×C4—21no—
2445C2×C4—21no—
2446C2×C4—21no—
2447C2×C4—21no—
2448C2×C4—22no—
2449C2×C4—21no—
2450C2×C4—21no—
2451C2×C4—21no—
2452C2×C4—21no—
2453C2×C4—22no—
2454C2×C4—21no—
2455C2×C4—21no—
2456C2×C4—22no—
2457C2×C4—21no—
2458C2×C4—21no—
2459C2×C4—21no—
2460C2×C4—21no—
2461C2×C4—22no—
2462C2×C4—22no—
2463C2×C4—22no—
2464C2×C4—22no—
2465C2×C4—22no—
2466C2×C4—22no—
2467C2×C4—22no—
2468C2×C4—21no—
2469C2×C4—21no—
2470C2×C4—21no—
2471C2×C4—21no—
2472C2×C4—21no—
2473C2×C4—21no—
2474C2×C4—22no—
2475C2×C4—22no—
2476C2×C4—21no—
2477C2×C4—21no—
2478C2×C4—22no—
2479C2×C4—21no—
2480C2×C4—21no—
2481C2×C4—21no—
2482C2×C4—21no—
2483C2×C4—21no—
2484C2×C4—21no—
2485C2×C4—21no—
2486C2×C4—21no—
2487C2×C4—21no—
2488C2×C4—21no—
2489C2×C4—22no—
2490C2×C4—22no—
2491C2×C4—21no—
2492C2×C4—21no—
2493C2×C4—21no—
2494C2×C4—21no—
2495C2×C4—21no—
2496C2×C4—21no—
2497C2×C4—21no—
2498C2×C4—21no—
2499C2×C4—21no—
2500C2×C4—48no—
2501C2×C4—48no—
2502C2×C4—48no—
2503C2×C4—84no—
2504C2×C4—82no—
2505C2×C4—84no—
2506C2×C4—84no—
2507C2×C4—84no—
2508C2×C4—84no—
2509C2×C4—82no—
2510C2×C4—82no—
2511C2×C4—82no—
2512C2×C4—84no—
2513C2×C4—162no—
2514C2×C4—162no—
2515C2×C4—162no—
2516C2×C4—162no—
2517C2×C4—162no—
2518C2×C4—162no—
2519C2×C4—162no—
2520C2×C4C22×#4112yes—
2521C2×C4C22×#4112yes—
2522C2×C4C22×#4112yes—
2523C2×C4C22×#4112yes—
2524C2×C4C22×#4112yes—
2525C2×C4C2×H(5,𝔽2)14yes—
2526C2×C4C2×H(5,𝔽2)12yes—
2527C2×C4#58512yes—
2528C2×C4#58512yes—
2529C22—22no—
2530C22—22no—
2531C22—22no—
2532C22—22no—
2533C22—22no—
2534C22—22no—
2535C22—41no—
2536C22—41no—
2537C22—41no—
2538C22—41no—
2539C22—41no—
2540C22—41no—
2541C22—41no—
2542C22—41no—
2543C22—42no—
2544C22—42no—
2545C22—42no—
2546C22—42no—
2547C22—42no—
2548C22—42no—
2549C22—42no—
2550C22—42no—
2551C22—42no—
2552C22—42no—
2553C22—42no—
2554C22—42no—
2555C22—42no—
2556C22—42no—
2557C22—42no—
2558C22—42no—
2559C22—42no—
2560C22—42no—
2561C22—42no—
2562C22—42no—
2563C22—42no—
2564C22—42no—
2565C22—42no—
2566C22—42no—
2567C22—42no—
2568C22—42no—
2569C22—42no—
2570C22—42no—
2571C22C23×#4111yescharacteristic
2572C22C22×H(5,𝔽2)11yescharacteristic
2573C22C2×#58511yescharacteristic
2574C22C2×#58511yescharacteristic
2575C22H(7,𝔽2)11yescharacteristic
2576C22H(7,𝔽2)11yescharacteristic
2577C222−1+611yescharacteristic
2578C4—22no—
2579C4—22no—
2580C4—22no—
2581C4—24no—
2582C4—22no—
2583C4—22no—
2584C4—42no—
2585C4—42no—
2586C4—42no—
2587C4—41no—
2588C4—41no—
2589C4—41no—
2590C4—42no—
2591C4—41no—
2592C4—41no—
2593C4—41no—
2594C4—41no—
2595C4—42no—
2596C4—42no—
2597C4—42no—
2598C4—42no—
2599C4—41no—
2600C4—41no—
2601C4—41no—
2602C4—41no—
2603C4—41no—
2604C4—41no—
2605C4—41no—
2606C4—42no—
2607C4—41no—
2608C4—41no—
2609C4—42no—
2610C4—41no—
2611C4—41no—
2612C4—41no—
2613C4—41no—
2614C4—42no—
2615C4—41no—
2616C4—41no—
2617C4—41no—
2618C4#351314yes—
2619C2—42no—
2620C2—42no—
2621C2—82no—
2622C2—82no—
2623C2—82no—
2624C2—82no—
2625C2C2×#351311yescharacteristic
2626C2#6285511yescharacteristic
2627C2#6288411yescharacteristic
2628C2#6292311yescharacteristic
2629C2#6294111yescharacteristic
2630C2#6299511yescharacteristic
2631C2#6305211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59874C2semidirect
2. #59585C2semidirect
3. #59145C2semidirect
4. #52237C2semidirect
5. #51491C2semidirect
6. #51291C2semidirect
7. #50807C2semidirect
8. #50103C2semidirect
9. #49683C2semidirect
10. #48133C2semidirect
11. #47569C2semidirect
12. #47056C2semidirect
13. #46248C2semidirect
14. #45421C2semidirect
15. #45366C2semidirect
16. #45306C2semidirect
17. #45146C2semidirect
18. #44995C2semidirect
19. #44960C2semidirect
20. #44139C2semidirect
21. #43465C2semidirect
22. #42960C2semidirect
23. #42700C2semidirect
24. #42529C2semidirect
25. #42519C2semidirect
26. #41281C2semidirect
27. #41167C2semidirect
28. #40030C2semidirect
29. #39821C2semidirect
30. #39810C2semidirect
31. #39735C2semidirect
32. #38982C2semidirect
33. #38956C2semidirect
34. #38708C2semidirect
35. #38308C2semidirect
36. #38079C2semidirect
37. #37683C2semidirect
38. #37095C2semidirect
39. #36300C2semidirect
40. #36041C2semidirect
41. #35844C2semidirect
42. #35673C2semidirect
43. #35517C2semidirect
44. #35188C2semidirect
45. #34477C2semidirect
46. #34460C2semidirect
47. #34312C2semidirect

Maximal subgroups

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

subgroupindex
#598742
#595852
#591452
#522372
#514912
#512912
#508072
#501032
#496832
#481332
#475692
#470562
#462482
#454212
#453662
#453062
#451462
#449952
#449602
#441392
#434652
#429602
#427002
#425292
#425192
#412812
#411672
#400302
#398212
#398102
#397352
#389822
#389562
#387082
#383082
#380792
#376832
#370952
#363002
#360412
#358442
#356732
#355172
#351882
#344772
#344602
#343122