Finite Group Databasebeta

← #8639860

Subgroups — #8639860

Order 512.

4732 conjugacy classes of subgroups.

The subgroup lattice has 2618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59213C211yesmaximal, characteristic, complemented
2#59117C211yesmaximal, characteristic, complemented
3#58095C212yesmaximal, complemented
4#56595C212yesmaximal, complemented
5#55542C212yesmaximal, complemented
6#54334C212yesmaximal, complemented
7#53704C212yesmaximal, complemented
8#53111C211yesmaximal, characteristic, complemented
9#51646C212yesmaximal, complemented
10#51523C212yesmaximal, complemented
11#50070C212yesmaximal, complemented
12#49843C212yesmaximal, complemented
13#49495C212yesmaximal, complemented
14#48079C212yesmaximal, complemented
15#46624C212yesmaximal, complemented
16#46502C212yesmaximal, complemented
17#46358C212yesmaximal, complemented
18#45695C211yesmaximal, characteristic, complemented
19#45674C211yesmaximal, characteristic, complemented
20#45649C211yesmaximal, characteristic, complemented
21#45160C211yesmaximal, characteristic, complemented
22#45016C211yesmaximal, characteristic, complemented
23#44966C211yesmaximal, characteristic, complemented
24#43036C212yesmaximal, complemented
25#42949C211yesmaximal, characteristic, complemented
26#42516C211yesmaximal, characteristic, complemented
27#42495C211yesmaximal, characteristic, complemented
28#40799C212yesmaximal, complemented
29#40101C211yesmaximal, characteristic, complemented
30#39906C211yesmaximal, characteristic, complemented
31#39767C211yesmaximal, characteristic, complemented
32#39476C211yesmaximal, characteristic, complemented
33#39400C211yesmaximal, characteristic, complemented
34#38914C211yesmaximal, characteristic, complemented
35#38098C211yesmaximal, characteristic, complemented
36#37944C211yesmaximal, characteristic, complemented
37#37794C211yesmaximal, characteristic, complemented
38#37348C211yesmaximal, characteristic, complemented
39#37280C211yesmaximal, characteristic, complemented
40#36606C211yesmaximal, characteristic, complemented
41#36375C211yesmaximal, characteristic, complemented
42#35736C211yesmaximal, characteristic, complemented
43#35588C211yesmaximal, characteristic, complemented
44#35555C211yesmaximal, characteristic, complemented
45#35273C211yesmaximal, characteristic, complemented
46#35239C211yesmaximal, characteristic, complemented
47#34735C211yesmaximal, characteristic, complemented
48C2×#553C2211yescharacteristic
49C2×#553C2212yes—
50C2×#552C2211yescharacteristic
51C2×#542C2211yescharacteristic
52C2×#539C2212yes—
53C2×#537C2212yes—
54C2×#532C2211yescharacteristic
55C2×#529C2211yescharacteristic
56C2×C4×#41C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2856C2211yescharacteristic
61#2856C2211yescharacteristic
62#2855C2211yescharacteristic
63#2855C2211yescharacteristic
64#2851C2211yescharacteristic
65#2851C2211yescharacteristic
66#2850C2211yescharacteristic
67#2850C2211yescharacteristic
68#2841C2212yes—
69#2839C2212yes—
70#2837C2212yes—
71#2836C2212yes—
72#2836C2212yes—
73#2830C2212yes—
74#2829C2212yes—
75#2827C2212yes—
76#2827C2212yes—
77#2817C2212yes—
78#2808C2212yes—
79#2807C2212yes—
80#2803C2212yes—
81#2800C2212yes—
82#2799C2212yes—
83#2796C2212yes—
84#2796C2212yes—
85#2794C2212yes—
86#2793C2212yes—
87#2793C2212yes—
88#2792C2212yes—
89#2791C2212yes—
90#2791C2212yes—
91#2790C2212yes—
92#2790C2212yes—
93#2788C2212yes—
94#2786C2212yes—
95#2786C2212yes—
96#2786C2212yes—
97#2783C2212yes—
98#2783C2212yes—
99#2782C2212yes—
100#2782C2212yes—
101#2779C2212yes—
102#2775C2212yes—
103#2774C2212yes—
104#2774C2212yes—
105#2771C2212yes—
106#2768C2212yes—
107#2768C2212yes—
108#2761C2212yes—
109#2756C2212yes—
110#2753C2212yes—
111#2748C2212yes—
112#2747C2212yes—
113#2744C2212yes—
114#2744C2212yes—
115#2742C2212yes—
116#2741C2212yes—
117#2740C2212yes—
118#2740C2212yes—
119#2739C2212yes—
120#2738C2212yes—
121#2738C2212yes—
122#2729C2212yes—
123#2727C2212yes—
124#2725C2212yes—
125#2724C2212yes—
126#2723C2212yes—
127#2723C2212yes—
128#2722C2212yes—
129#2721C2212yes—
130#2721C2212yes—
131#2720C2212yes—
132#2720C2212yes—
133#2720C2212yes—
134#2720C2212yes—
135#2715C2212yes—
136#2712C2212yes—
137#2711C2212yes—
138#2711C2212yes—
139#2711C2212yes—
140#2711C2212yes—
141#2708C2212yes—
142#2708C2212yes—
143#2708C2212yes—
144#2708C2212yes—
145#2708C2212yes—
146#2708C2212yes—
147#2704C2212yes—
148#2702C2212yes—
149#2702C2212yes—
150#2701C2212yes—
151#2701C2212yes—
152#2701C2212yes—
153#2701C2212yes—
154#2699C2212yes—
155#2698C2212yes—
156#2695C2212yes—
157#2695C2212yes—
158#2695C2212yes—
159#2691C2212yes—
160#2690C2212yes—
161#2690C2212yes—
162#2689C2212yes—
163#2689C2212yes—
164#2688C2212yes—
165#2688C2212yes—
166#2687C2212yes—
167#2686C2212yes—
168#2686C2212yes—
169#2682C2212yes—
170#2681C2212yes—
171#2680C2212yes—
172#2674C2212yes—
173#2672C2212yes—
174#2672C2212yes—
175#2671C2212yes—
176#2671C2212yes—
177#2671C2212yes—
178#2671C2212yes—
179#2671C2212yes—
180#2667C2212yes—
181#2666C2212yes—
182#2666C2212yes—
183#2666C2212yes—
184#2664C2212yes—
185#2652C2212yes—
186#2649C2212yes—
187#2649C2212yes—
188#2648C2212yes—
189#2647C2211yescharacteristic
190#2639C2212yes—
191#2638C2212yes—
192#2638C2212yes—
193#2628C2211yescharacteristic
194#2627C2212yes—
195#2624C2211yescharacteristic
196#2624C2211yescharacteristic
197#2623C2212yes—
198#2620C2212yes—
199#2620C2211yescharacteristic
200#2620C2211yescharacteristic
201#2620C2212yes—
202#2601C2212yes—
203#2595C2212yes—
204#2595C2212yes—
205#2595C2212yes—
206#2593C2212yes—
207#2591C2212yes—
208#2587C2212yes—
209#2587C2212yes—
210#2584C2211yescharacteristic
211#2584C2211yescharacteristic
212#2583C2212yes—
213#2582C2211yescharacteristic
214#2581C2211yescharacteristic
215#2580C2211yescharacteristic
216#2580C2211yescharacteristic
217#2578C2212yes—
218#2578C2212yes—
219#2577C2212yes—
220#2574C2212yes—
221#2573C2212yes—
222#2571C2211yescharacteristic
223#2570C2211yescharacteristic
224#2570C2211yescharacteristic
225#2570C2211yescharacteristic
226#2570C2211yescharacteristic
227#2570C2211yescharacteristic
228#2570C2211yescharacteristic
229#2566C2211yescharacteristic
230#2566C2212yes—
231#2565C2211yescharacteristic
232#2564C2212yes—
233#2559C2212yes—
234#2559C2212yes—
235#2559C2212yes—
236#2559C2212yes—
237#2553C2212yes—
238#2553C2212yes—
239#2553C2212yes—
240#2553C2212yes—
241#2552C2211yescharacteristic
242#2552C2211yescharacteristic
243#2552C2211yescharacteristic
244#2552C2211yescharacteristic
245#2552C2211yescharacteristic
246#2551C2211yescharacteristic
247#2550C2211yescharacteristic
248#2550C2211yescharacteristic
249#2544C2211yescharacteristic
250#2540C2211yescharacteristic
251#2538C2211yescharacteristic
252#2538C2211yescharacteristic
253#2538C2212yes—
254#2537C2212yes—
255#2537C2211yescharacteristic
256#2537C2211yescharacteristic
257#2537C2211yescharacteristic
258#2537C2211yescharacteristic
259#2536C2211yescharacteristic
260#2531C2212yes—
261#2531C2212yes—
262#2531C2212yes—
263#2529C2212yes—
264#2521C2212yes—
265#2521C2212yes—
266#2518C2212yes—
267#2516C2212yes—
268#2513C2211yescharacteristic
269#2513C2211yescharacteristic
270#2513C2211yescharacteristic
271#2511C2211yescharacteristic
272#2511C2211yescharacteristic
273#2508C2211yescharacteristic
274#2508C2211yescharacteristic
275#2507C2212yes—
276#2507C2212yes—
277#2506C2212yes—
278#2506C2211yescharacteristic
279#2506C2212yes—
280#2505C2212yes—
281#2504C2211yescharacteristic
282#2504C2211yescharacteristic
283#2500C2211yescharacteristic
284#2500C2211yescharacteristic
285#2499C2211yescharacteristic
286#2496C2211yescharacteristic
287#2496C2211yescharacteristic
288#2496C2211yescharacteristic
289#2496C2211yescharacteristic
290#2495C2211yescharacteristic
291#2490C2211yescharacteristic
292#2490C2211yescharacteristic
293#2489C2211yescharacteristic
294#2486C2211yescharacteristic
295#2486C2211yescharacteristic
296#2485C2211yescharacteristic
297#2485C2212yes—
298#2481C2212yes—
299#2479C2212yes—
300#2479C2211yescharacteristic
301#2478C2212yes—
302#2478C2211yescharacteristic
303#2476C2212yes—
304#2475C2212yes—
305#2475C2211yescharacteristic
306#2474C2211yescharacteristic
307#2473C2212yes—
308#2473C2212yes—
309#2473C2212yes—
310#2473C2212yes—
311#2473C2212yes—
312#2473C2212yes—
313#2473C2212yes—
314#2470C2212yes—
315#2469C2211yescharacteristic
316#2468C2212yes—
317#2468C2212yes—
318#2468C2212yes—
319#2468C2212yes—
320#2468C2211yescharacteristic
321#2466C2212yes—
322#2466C2212yes—
323#2466C2212yes—
324#2466C2212yes—
325#2464C2212yes—
326#2462C2212yes—
327#2462C2211yescharacteristic
328#2461C2211yescharacteristic
329#2461C2212yes—
330#2460C2212yes—
331#2455C2212yes—
332#2454C2211yescharacteristic
333#2454C2211yescharacteristic
334#2452C2211yescharacteristic
335#2451C2211yescharacteristic
336#2449C2212yes—
337#2449C2212yes—
338#2449C2211yescharacteristic
339#2448C2211yescharacteristic
340#2447C2211yescharacteristic
341#2445C2211yescharacteristic
342#2445C2211yescharacteristic
343#2444C2212yes—
344#2443C2212yes—
345#2443C2212yes—
346#2443C2212yes—
347#2443C2211yescharacteristic
348#2442C2211yescharacteristic
349#2442C2212yes—
350#2442C2212yes—
351#2442C2212yes—
352#2442C2211yescharacteristic
353#2441C2211yescharacteristic
354#2440C2212yes—
355#2440C2212yes—
356#2440C2211yescharacteristic
357#2440C2211yescharacteristic
358#2438C2211yescharacteristic
359#2438C2212yes—
360#2438C2212yes—
361#2432C2212yes—
362#2430C2211yescharacteristic
363#2428C2211yescharacteristic
364#2426C2211yescharacteristic
365#2425C2211yescharacteristic
366#2423C2211yescharacteristic
367#2422C2212yes—
368#2422C2212yes—
369#2422C2211yescharacteristic
370#2422C2212yes—
371#2422C2211yescharacteristic
372#2421C2211yescharacteristic
373#2421C2211yescharacteristic
374#2420C2212yes—
375#2420C2212yes—
376#2420C2211yescharacteristic
377#2419C2212yes—
378#2419C2211yescharacteristic
379#2417C2211yescharacteristic
380#2417C2211yescharacteristic
381#2416C2211yescharacteristic
382#2416C2211yescharacteristic
383#2416C2212yes—
384#2416C2211yescharacteristic
385#2416C2211yescharacteristic
386#2416C2212yes—
387#2415C2211yescharacteristic
388#2415C2212yes—
389#2414C2211yescharacteristic
390#2414C2211yescharacteristic
391#2413C2211yescharacteristic
392#2407C2212yes—
393#2406C2211yescharacteristic
394#2406C2212yes—
395#2406C2212yes—
396#2406C2212yes—
397#2399C2211yescharacteristic
398#2396C2211yescharacteristic
399#2395C2211yescharacteristic
400#2392C2212yes—
401#2392C2211yescharacteristic
402#2382C2212yes—
403#2377C2212yes—
404#2376C2212yes—
405#2374C2212yes—
406#2367C2211yescharacteristic
407#2367C2211yescharacteristic
408#2364C2212yes—
409#2363C2211yescharacteristic
410#2361C2211yescharacteristic
411#2361C2212yes—
412#2361C2211yescharacteristic
413#2361C2211yescharacteristic
414#2360C2211yescharacteristic
415#2360C2211yescharacteristic
416#2359C2212yes—
417#2357C2211yescharacteristic
418#2352C2211yescharacteristic
419#2352C2211yescharacteristic
420#2352C2211yescharacteristic
421Q8×C4⋊C4C2211yescharacteristic
422D4×C4⋊C4C2211yescharacteristic
423D4×C4⋊C4C2211yescharacteristic
424D4×C4⋊C4C2211yescharacteristic
425#2344C2212yes—
426#2333C2212yes—
427#2332C2212yes—
428#2331C2212yes—
429#2330C2211yescharacteristic
430#2330C2212yes—
431#2326C2211yescharacteristic
432#2325C2212yes—
433#2324C2211yescharacteristic
434#2319C2211yescharacteristic
435#2317C2211yescharacteristic
436#2317C2211yescharacteristic
437#2317C2211yescharacteristic
438#2316C2211yescharacteristic
439#2313C2212yes—
440#2311C2212yes—
441C4×C22⋊Q8C2211yescharacteristic
442C4×C22⋊Q8C2211yescharacteristic
443C4×#123C2211yescharacteristic
444C4×#123C2211yescharacteristic
445C4×#123C2211yescharacteristic
446C4×#121C2211yescharacteristic
447C4×#121C2211yescharacteristic
448C4×#121C2211yescharacteristic
449#2296C2211yescharacteristic
450#2296C2211yescharacteristic
451C2×#389C2211yescharacteristic
452#2290C2211yescharacteristic
453#2290C2211yescharacteristic
454#2285C2211yescharacteristic
455C2×#384C2211yescharacteristic
456#2283C2211yescharacteristic
457#2274C2211yescharacteristic
458C2×C4×C4⋊C4C2211yescharacteristic
459C22×#41C2311yescharacteristic
460C22×#41C2312yes—
461#553—44no—
462#553—48no—
463#552—44no—
464#542—44no—
465#539—48no—
466#537—48no—
467#532—44no—
468C2×C4⋊Q8C2312yes—
469C2×C4⋊Q8C2311yescharacteristic
470C2×C4⋊Q8C2311yescharacteristic
471C2×#127C2311yescharacteristic
472#529—44no—
473C2×#126C2312yes—
474C2×#126C2311yescharacteristic
475C2×#126C2311yescharacteristic
476C2×#126C2312yes—
477C2×#126C2312yes—
478C2×#126C2312yes—
479C2×#126C2312yes—
480C2×#126C2312yes—
481C2×#126C2312yes—
482C2×#125C2311yescharacteristic
483C2×#125C2312yes—
484C2×#125C2311yescharacteristic
485C2×#125C2311yescharacteristic
486C2×#125C2312yes—
487C2×#125C2312yes—
488C2×#125C2311yescharacteristic
489C2×#125C2312yes—
490C2×#125C2312yes—
491C2×#125C2312yes—
492C2×#124C2311yescharacteristic
493C2×#124C2311yescharacteristic
494C2×#124C2312yes—
495C2×#124C2311yescharacteristic
496C2×#124C2312yes—
497C2×#123C2312yes—
498C2×#123C2311yescharacteristic
499C2×#123C2311yescharacteristic
500C2×#123C2312yes—
501C2×#123C2312yes—
502C2×#123C2312yes—
503C2×#123C2311yescharacteristic
504C2×#123C2312yes—
505C2×#123C2312yes—
506C2×#123C2311yescharacteristic
507C2×#123C2311yescharacteristic
508C2×#123C2312yes—
509C2×#123C2312yes—
510C2×#123C2312yes—
511C2×C22⋊Q8C2311yescharacteristic
512C2×C22⋊Q8C2312yes—
513C2×C22⋊Q8C2312yes—
514C2×C22⋊Q8C2312yes—
515C2×C22⋊Q8C2312yes—
516C2×C22⋊Q8C2311yescharacteristic
517C2×C22⋊Q8C2311yescharacteristic
518C2×C22⋊Q8C2312yes—
519C2×C22⋊Q8C2312yes—
520C2×C22⋊Q8C2312yes—
521C2×C22⋊Q8C2311yescharacteristic
522C2×C22⋊Q8C2312yes—
523C2×C22⋊Q8C2311yescharacteristic
524C2×C22⋊Q8C2312yes—
525C2×C22⋊Q8C2311yescharacteristic
526C2×#121C2311yescharacteristic
527C2×#121C2312yes—
528C2×#121C2311yescharacteristic
529C2×#121C2312yes—
530C2×#121C2311yescharacteristic
531C2×#121C2312yes—
532C2×#121C2312yes—
533C2×#121C2311yescharacteristic
534C2×#121C2311yescharacteristic
535C2×#121C2311yescharacteristic
536C2×#121C2311yescharacteristic
537C2×#121C2312yes—
538C2×#121C2312yes—
539C2×#121C2311yescharacteristic
540C2×#121C2312yes—
541C2×#121C2311yescharacteristic
542C2×#121C2312yes—
543C2×#121C2311yescharacteristic
544C2×#121C2312yes—
545C2×#121C2312yes—
546C2×#121C2312yes—
547C2×#121C2312yes—
548C2×#121C2312yes—
549C2×#121C2312yes—
550C2×#121C2312yes—
551C4×#41—44no—
552C2×C4×Q8C2311yescharacteristic
553C2×C4×Q8C2311yescharacteristic
554C2×C4×Q8C2311yescharacteristic
555C2×C4×Q8C2311yescharacteristic
556C2×C4×Q8C2311yescharacteristic
557C2×C4×Q8C2311yescharacteristic
558C2×C4×D4C2311yescharacteristic
559C2×C4×D4C2311yescharacteristic
560C2×C4×D4C2311yescharacteristic
561C2×C4×D4C2311yescharacteristic
562C2×C4×D4C2311yescharacteristic
563C2×C4×D4C2312yes—
564C2×C4×D4C2311yescharacteristic
565C2×C4×D4C2312yes—
566C2×C4×D4C2311yescharacteristic
567C2×C4×D4C2311yescharacteristic
568C2×C4×D4C2312yes—
569C2×C4×D4C2312yes—
570C2×C4×D4C2311yescharacteristic
571C2×C4×D4C2311yescharacteristic
572C2×C4×D4C2311yescharacteristic
573C2×C4×D4C2312yes—
574C2×C4×D4C2312yes—
575C2×C4×D4C2312yes—
576C2×C4×D4C2312yes—
577C2×C4×D4C2311yescharacteristic
578C2×C4×D4C2311yescharacteristic
579C2×C4×D4C2311yescharacteristic
580C2×C4×D4C2311yescharacteristic
581C2×#117C2311yescharacteristic
582C2×#117C2311yescharacteristic
583C2×#117C2311yescharacteristic
584C2×#117C2311yescharacteristic
585C2×#117C2311yescharacteristic
586C2×#117C2311yescharacteristic
587C2×#117C2311yescharacteristic
588C2×#117C2311yescharacteristic
589C2×#117C2312yes—
590C2×#117C2311yescharacteristic
591C2×#117C2312yes—
592C22×C4⋊C4C2312yes—
593C22×C4⋊C4C2312yes—
594C22×C4⋊C4C2311yescharacteristic
595C22×C4⋊C4C2311yescharacteristic
596C22×C4⋊C4C2311yescharacteristic
597C22×C4⋊C4C2312yes—
598C22×C4⋊C4C2311yescharacteristic
599C22×C4⋊C4C2312yes—
600C22×C4⋊C4C2311yescharacteristic
601C22×C4⋊C4C2312yes—
602C22×C4⋊C4C2311yescharacteristic
603C22×C4⋊C4C2311yescharacteristic
604C22×C42C2311yescharacteristic
605C22×C42C2311yescharacteristic
606C22×C42C2311yescharacteristic
607C22×C42C2311yescharacteristic
608C22×C42C2311yescharacteristic
609#400C2312yes—
610#400C2312yes—
611#400C2312yes—
612#400C2312yes—
613#400C2312yes—
614#400C2312yes—
615#400C2312yes—
616#400C2312yes—
617#400C2312yes—
618#400C2312yes—
619#400C2312yes—
620#400C2312yes—
621#400C2312yes—
622#400C2312yes—
623#400C2312yes—
624#400C2312yes—
625#400C2312yes—
626#400C2312yes—
627#400C2312yes—
628#400C2312yes—
629#400C2312yes—
630#400C2312yes—
631#400C2312yes—
632#400C2312yes—
633#400C2312yes—
634#400C2312yes—
635#400C2312yes—
636#400C2312yes—
637#400C2312yes—
638#400C2311yescharacteristic
639#400C2311yescharacteristic
640#399C2312yes—
641#399C2312yes—
642#399C2312yes—
643#399C2312yes—
644#399C2312yes—
645#399C2312yes—
646#399C2312yes—
647#399C2312yes—
648#399C2311yescharacteristic
649#399C2312yes—
650#399C2312yes—
651#399C2311yescharacteristic
652#399C2312yes—
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664#398C2312yes—
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713#397C2312yes—
714#397C2312yes—
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716#397C2312yes—
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729#397C2312yes—
730#397C2312yes—
731#397C2312yes—
732#397C2312yes—
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738#397C2312yes—
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741#396C2312yes—
742#396C2312yes—
743#396C2312yes—
744#396C2312yes—
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747#396C2312yes—
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749#396C2312yes—
750#396C2312yes—
751#396C2312yes—
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760#396C2312yes—
761#396C2312yes—
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766#395C2312yes—
767#395C2312yes—
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779#395C2312yes—
780#394C2312yes—
781#394C2312yes—
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784#394C2312yes—
785#394C2312yes—
786#394C2312yes—
787#394C2312yes—
788#394C2312yes—
789#394C2312yes—
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795#394C2312yes—
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799#394C2312yes—
800#394C2312yes—
801#394C2312yes—
802#394C2312yes—
803#394C2312yes—
804#394C2312yes—
805#394C2312yes—
806#394C2312yes—
807#394C2312yes—
808#394C2312yes—
809#394C2312yes—
810#394C2312yes—
811#394C2312yes—
812#394C2311yescharacteristic
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815#394C2312yes—
816#394C2312yes—
817#394C2311yescharacteristic
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819#394C2312yes—
820#394C2312yes—
821#394C2312yes—
822#394C2312yes—
823#394C2312yes—
824#394C2312yes—
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826#394C2312yes—
827#393C2312yes—
828#393C2312yes—
829#393C2312yes—
830#393C2312yes—
831#393C2311yescharacteristic
832#392C2312yes—
833#392C2312yes—
834#392C2311yescharacteristic
835#392C2312yes—
836#392C2312yes—
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839#391C2312yes—
840#391C2312yes—
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844#391C2312yes—
845#391C2312yes—
846#391C2312yes—
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851#390C2312yes—
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854#390C2312yes—
855#390C2312yes—
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863#390C2312yes—
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866#390C2312yes—
867#390C2312yes—
868#390C2312yes—
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870#390C2312yes—
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888#389C2312yes—
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890#389C2312yes—
891#389C2312yes—
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903#389C2312yes—
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905#389C2312yes—
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913#389C2312yes—
914#389C2312yes—
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916#389C2312yes—
917#389C2312yes—
918#389C2312yes—
919#389C2312yes—
920#389C2312yes—
921#389C2312yes—
922#389C2312yes—
923#389C2312yes—
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926#389C2312yes—
927#389C2312yes—
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931#389C2312yes—
932#389C2312yes—
933#389C2312yes—
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941#389C2312yes—
942#389C2312yes—
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947#388C2312yes—
948#388C2312yes—
949#388C2312yes—
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980#388C2312yes—
981#388C2312yes—
982#388C2312yes—
983#388C2312yes—
984#388C2312yes—
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1005#387C2312yes—
1006#387C2312yes—
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1010#387C2312yes—
1011#387C2312yes—
1012#387C2312yes—
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1014#387C2312yes—
1015#387C2312yes—
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1017#387C2312yes—
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1020#387C2312yes—
1021#387C2312yes—
1022#387C2312yes—
1023#387C2312yes—
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1028#387C2312yes—
1029#387C2312yes—
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1035#387C2312yes—
1036#387C2312yes—
1037#387C2312yes—
1038#387C2312yes—
1039#387C2312yes—
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1055#387C2312yes—
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1069#386C2312yes—
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1076#386C2312yes—
1077#386C2312yes—
1078#386C2312yes—
1079#386C2312yes—
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1110#385C2312yes—
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1112#385C2312yes—
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1120#385C2312yes—
1121#385C2312yes—
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1126#385C2312yes—
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1128#385C2312yes—
1129#385C2312yes—
1130#385C2312yes—
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1181#384C2312yes—
1182#383C2312yes—
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1193#382C2312yes—
1194#382C2312yes—
1195#382C2312yes—
1196#382C2312yes—
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1202#381C2312yes—
1203#381C2312yes—
1204#381C2312yes—
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1211#380C2312yes—
1212#380C2312yes—
1213#380C2312yes—
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1218#380C2312yes—
1219#380C2312yes—
1220#380C2312yes—
1221#380C2312yes—
1222#380C2312yes—
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1280C4×C22⋊C4C2312yes—
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1282C4×C22⋊C4C2312yes—
1283C4×C22⋊C4C2312yes—
1284C4×C22⋊C4C2312yes—
1285C4×C22⋊C4C2312yes—
1286C4×C22⋊C4C2312yes—
1287C4×C22⋊C4C2312yes—
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1304C2×#41—42no—
1305C2×#41—44no—
1306C2×#41—42no—
1307C2×#41—44no—
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1320C22×D4C2412yes—
1321C22×D4C2412yes—
1322C22×D4C2412yes—
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1326C22×D4C2412yes—
1327C22×D4C2412yes—
1328C22×D4C2412yes—
1329C22×D4C2412yes—
1330C22×D4C2412yes—
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1341C23×C4C2412yes—
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1346C23×C4C2412yes—
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1349C23×C4C2412yes—
1350C23×C4C2412yes—
1351C23×C4C2412yes—
1352C23×C4C2412yes—
1353C23×C4C2412yes—
1354C23×C4C2412yes—
1355C23×C4C2412yes—
1356C23×C4C2411yescharacteristic
1357C4⋊Q8—42no—
1358C4⋊Q8—42no—
1359C4⋊Q8—44no—
1360#127—42no—
1361#126—44no—
1362#126—42no—
1363#126—44no—
1364#126—44no—
1365#126—44no—
1366#126—44no—
1367#126—42no—
1368#126—44no—
1369#126—44no—
1370#125—42no—
1371#125—42no—
1372#125—44no—
1373#125—42no—
1374#125—44no—
1375#125—44no—
1376#125—42no—
1377#125—44no—
1378#125—44no—
1379#125—44no—
1380#124—24no—
1381#124—44no—
1382#124—42no—
1383#124—42no—
1384#124—44no—
1385#123—24no—
1386#123—28no—
1387#123—42no—
1388#123—42no—
1389#123—44no—
1390#123—44no—
1391#123—44no—
1392#123—44no—
1393#123—44no—
1394#123—44no—
1395#123—42no—
1396#123—42no—
1397#123—44no—
1398#123—44no—
1399C22⋊Q8—24no—
1400C22⋊Q8—44no—
1401C22⋊Q8—44no—
1402C22⋊Q8—44no—
1403C22⋊Q8—44no—
1404C22⋊Q8—42no—
1405C22⋊Q8—44no—
1406C22⋊Q8—44no—
1407C22⋊Q8—42no—
1408C22⋊Q8—44no—
1409C22⋊Q8—42no—
1410C22⋊Q8—42no—
1411C22⋊Q8—44no—
1412C22⋊Q8—44no—
1413C22⋊Q8—42no—
1414#121—28no—
1415#121—28no—
1416#121—24no—
1417#121—24no—
1418#121—24no—
1419#121—44no—
1420#121—42no—
1421#121—44no—
1422#121—44no—
1423#121—44no—
1424#121—44no—
1425#121—44no—
1426#121—44no—
1427#121—44no—
1428#121—42no—
1429#121—42no—
1430#121—42no—
1431#121—42no—
1432#121—44no—
1433#121—44no—
1434#121—42no—
1435#121—42no—
1436#121—44no—
1437#121—44no—
1438#121—44no—
1439C4×Q8—42no—
1440C4×Q8—42no—
1441C4×Q8—42no—
1442C4×Q8—42no—
1443C4×Q8—42no—
1444C4×Q8—42no—
1445C4×D4—24no—
1446C4×D4—24no—
1447C4×D4—24no—
1448C4×D4—24no—
1449C4×D4—24no—
1450C4×D4—42no—
1451C4×D4—44no—
1452C4×D4—44no—
1453C4×D4—42no—
1454C4×D4—42no—
1455C4×D4—42no—
1456C4×D4—42no—
1457C4×D4—42no—
1458C4×D4—42no—
1459C4×D4—42no—
1460C4×D4—44no—
1461C4×D4—42no—
1462C4×D4—42no—
1463C4×D4—44no—
1464C4×D4—44no—
1465C4×D4—44no—
1466C4×D4—44no—
1467C4×D4—44no—
1468#117—24no—
1469#117—24no—
1470#117—24no—
1471#117—42no—
1472#117—42no—
1473#117—42no—
1474#117—44no—
1475#117—42no—
1476#117—44no—
1477#117—42no—
1478#117—42no—
1479C2×C4⋊C4—42no—
1480C2×C4⋊C4—42no—
1481C2×C4⋊C4—42no—
1482C2×C4⋊C4—44no—
1483C2×C4⋊C4—44no—
1484C2×C4⋊C4—42no—
1485C2×C4⋊C4—42no—
1486C2×C4⋊C4—44no—
1487C2×C4⋊C4—44no—
1488C2×C4⋊C4—42no—
1489C2×C4⋊C4—42no—
1490C2×C4⋊C4—44no—
1491C2×C4⋊C4C2411yescharacteristic
1492C2×C4⋊C4C2411yescharacteristic
1493C2×C4⋊C4C2411yescharacteristic
1494C2×C4⋊C4C2411yescharacteristic
1495C2×C4⋊C4C2411yescharacteristic
1496C2×C4⋊C4C2411yescharacteristic
1497C2×C4⋊C4C2411yescharacteristic
1498C2×C4⋊C4C2411yescharacteristic
1499C2×C4⋊C4C2412yes—
1500C2×C4⋊C4C2411yescharacteristic
1501C2×C4⋊C4C2412yes—
1502C2×C4⋊C4C2412yes—
1503C2×C4⋊C4C2411yescharacteristic
1504C2×C4⋊C4C2411yescharacteristic
1505C2×C4⋊C4C2412yes—
1506C2×C4⋊C4C2412yes—
1507C2×C4⋊C4C2412yes—
1508C2×C4⋊C4C2412yes—
1509C2×C4⋊C4C2411yescharacteristic
1510C2×C4⋊C4C2411yescharacteristic
1511C2×C4⋊C4C2412yes—
1512C2×C4⋊C4C2411yescharacteristic
1513C2×C4⋊C4C2411yescharacteristic
1514C2×C4⋊C4C2411yescharacteristic
1515C2×C4⋊C4C2411yescharacteristic
1516C2×C4⋊C4C2411yescharacteristic
1517C2×C4⋊C4C2411yescharacteristic
1518C2×C4⋊C4C2411yescharacteristic
1519C2×C4⋊C4C2412yes—
1520C2×C4⋊C4C2411yescharacteristic
1521C2×C4⋊C4C2411yescharacteristic
1522C2×C4⋊C4C2411yescharacteristic
1523C2×C4⋊C4C2411yescharacteristic
1524C2×C4⋊C4C2411yescharacteristic
1525C2×C4⋊C4C2411yescharacteristic
1526C2×C4⋊C4C2411yescharacteristic
1527C2×C4⋊C4C2412yes—
1528C2×C4⋊C4C2411yescharacteristic
1529C2×C4⋊C4C2411yescharacteristic
1530C2×C4⋊C4C2411yescharacteristic
1531C2×C4⋊C4C2412yes—
1532C2×C4⋊C4C2412yes—
1533C2×C4⋊C4C2412yes—
1534C2×C4⋊C4C2412yes—
1535C2×C4⋊C4C2412yes—
1536C2×C4⋊C4C2412yes—
1537C2×C4⋊C4C2412yes—
1538C2×C4⋊C4C2412yes—
1539C2×C4⋊C4C2411yescharacteristic
1540C2×C4⋊C4C2411yescharacteristic
1541C2×C4⋊C4C2412yes—
1542C2×C4⋊C4C2411yescharacteristic
1543C2×C4⋊C4C2411yescharacteristic
1544C2×C4⋊C4C2412yes—
1545C2×C4⋊C4C2412yes—
1546C2×C4⋊C4C2412yes—
1547C2×C4⋊C4C2412yes—
1548C2×C4⋊C4C2412yes—
1549C2×C4⋊C4C2412yes—
1550C2×C4⋊C4C2411yescharacteristic
1551C2×C4⋊C4C2411yescharacteristic
1552C2×C4⋊C4C2411yescharacteristic
1553C2×C4⋊C4C2411yescharacteristic
1554C2×C4⋊C4C2412yes—
1555C2×C4⋊C4C2411yescharacteristic
1556C2×C4⋊C4C2411yescharacteristic
1557C2×C4⋊C4C2412yes—
1558C2×C4⋊C4C2412yes—
1559C2×C4⋊C4C2412yes—
1560C2×C4⋊C4C2412yes—
1561C2×C4⋊C4C2412yes—
1562C2×C4⋊C4C2412yes—
1563C2×C4⋊C4C2411yescharacteristic
1564C2×C4⋊C4C2412yes—
1565C2×C4⋊C4C2411yescharacteristic
1566C2×C4⋊C4C2412yes—
1567C2×C4⋊C4C2412yes—
1568C2×C4⋊C4C2411yescharacteristic
1569C2×C4⋊C4C2411yescharacteristic
1570C2×C4⋊C4C2412yes—
1571C2×C4⋊C4C2412yes—
1572C2×C4⋊C4C2412yes—
1573C2×C4⋊C4C2412yes—
1574C2×C4⋊C4C2412yes—
1575C2×C4⋊C4C2412yes—
1576C2×C4⋊C4C2412yes—
1577C2×C4⋊C4C2412yes—
1578C2×C4⋊C4C2412yes—
1579C2×C4⋊C4C2412yes—
1580C2×C4⋊C4C2412yes—
1581C2×C4⋊C4C2412yes—
1582C2×C4⋊C4C2412yes—
1583C2×C4⋊C4C2411yescharacteristic
1584C2×C4⋊C4C2412yes—
1585C2×C4⋊C4C2412yes—
1586C2×C4⋊C4C2412yes—
1587C2×C4⋊C4C2412yes—
1588C2×C4⋊C4C2412yes—
1589C2×C4⋊C4C2412yes—
1590C2×C4⋊C4C2411yescharacteristic
1591C2×C4⋊C4C2411yescharacteristic
1592C2×C4⋊C4C2412yes—
1593C2×C4⋊C4C2412yes—
1594C2×C4⋊C4C2412yes—
1595C2×C4⋊C4C2412yes—
1596C2×C4⋊C4C2412yes—
1597C2×C4⋊C4C2412yes—
1598C2×C4⋊C4C2412yes—
1599C2×C4⋊C4C2412yes—
1600C2×C4⋊C4C2412yes—
1601C2×C4⋊C4C2412yes—
1602C2×C4⋊C4C2411yescharacteristic
1603C2×C4⋊C4C2411yescharacteristic
1604C2×C4⋊C4C2411yescharacteristic
1605C2×C4⋊C4C2412yes—
1606C2×C4⋊C4C2411yescharacteristic
1607C2×C4⋊C4C2412yes—
1608C2×C22⋊C4C2411yescharacteristic
1609C2×C22⋊C4C2411yescharacteristic
1610C2×C22⋊C4C2411yescharacteristic
1611C2×C22⋊C4C2411yescharacteristic
1612C2×C22⋊C4C2412yes—
1613C2×C22⋊C4C2412yes—
1614C2×C22⋊C4C2412yes—
1615C2×C22⋊C4C2411yescharacteristic
1616C2×C22⋊C4C2411yescharacteristic
1617C2×C22⋊C4C2411yescharacteristic
1618C2×C22⋊C4C2411yescharacteristic
1619C2×C22⋊C4C2411yescharacteristic
1620C2×C22⋊C4C2412yes—
1621C2×C22⋊C4C2411yescharacteristic
1622C2×C22⋊C4C2411yescharacteristic
1623C2×C22⋊C4C2412yes—
1624C2×C22⋊C4C2411yescharacteristic
1625C2×C22⋊C4C2412yes—
1626C2×C22⋊C4C2412yes—
1627C2×C22⋊C4C2411yescharacteristic
1628C2×C22⋊C4C2411yescharacteristic
1629C2×C22⋊C4C2412yes—
1630C2×C22⋊C4C2411yescharacteristic
1631C2×C22⋊C4C2412yes—
1632C2×C22⋊C4C2412yes—
1633C2×C22⋊C4C2411yescharacteristic
1634C2×C22⋊C4C2412yes—
1635C2×C22⋊C4C2411yescharacteristic
1636C2×C22⋊C4C2411yescharacteristic
1637C2×C22⋊C4C2412yes—
1638C2×C22⋊C4C2411yescharacteristic
1639C2×C22⋊C4C2412yes—
1640C2×C22⋊C4C2412yes—
1641C2×C22⋊C4C2411yescharacteristic
1642C2×C22⋊C4C2411yescharacteristic
1643C2×C22⋊C4C2411yescharacteristic
1644C2×C22⋊C4C2412yes—
1645C2×C22⋊C4C2411yescharacteristic
1646C2×C22⋊C4C2412yes—
1647C2×C22⋊C4C2412yes—
1648C2×C22⋊C4C2412yes—
1649C2×C22⋊C4C2412yes—
1650C2×C22⋊C4C2412yes—
1651C2×C22⋊C4C2412yes—
1652C2×C22⋊C4C2412yes—
1653C2×C22⋊C4C2411yescharacteristic
1654C2×C22⋊C4C2412yes—
1655C2×C22⋊C4C2412yes—
1656C2×C22⋊C4C2412yes—
1657C2×C22⋊C4C2411yescharacteristic
1658C2×C22⋊C4C2412yes—
1659C2×C22⋊C4C2412yes—
1660C2×C22⋊C4C2412yes—
1661C2×C22⋊C4C2412yes—
1662C2×C22⋊C4C2412yes—
1663C2×C22⋊C4C2412yes—
1664C2×C22⋊C4C2412yes—
1665C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1677C2×C22⋊C4C2412yes—
1678C2×C22⋊C4C2411yescharacteristic
1679C2×C22⋊C4C2412yes—
1680C2×C22⋊C4C2412yes—
1681C2×C22⋊C4C2412yes—
1682C2×C22⋊C4C2411yescharacteristic
1683C2×C22⋊C4C2411yescharacteristic
1684C2×C22⋊C4C2412yes—
1685C2×C22⋊C4C2412yes—
1686C2×C22⋊C4C2411yescharacteristic
1687C2×C22⋊C4C2411yescharacteristic
1688C2×C22⋊C4C2412yes—
1689C2×C22⋊C4C2412yes—
1690C2×C22⋊C4C2412yes—
1691C2×C22⋊C4C2412yes—
1692C2×C22⋊C4C2411yescharacteristic
1693C2×C22⋊C4C2411yescharacteristic
1694C2×C22⋊C4C2412yes—
1695C2×C22⋊C4C2412yes—
1696C2×C22⋊C4C2411yescharacteristic
1697C2×C22⋊C4C2412yes—
1698C2×C22⋊C4C2412yes—
1699C2×C22⋊C4C2412yes—
1700C2×C22⋊C4C2412yes—
1701C2×C22⋊C4C2412yes—
1702C2×C22⋊C4C2412yes—
1703C2×C42—24no—
1704C2×C42—24no—
1705C2×C42—42no—
1706C2×C42—42no—
1707C2×C42—42no—
1708C2×C42C2412yes—
1709C2×C42C2411yescharacteristic
1710C2×C42C2411yescharacteristic
1711C2×C42C2411yescharacteristic
1712C2×C42C2411yescharacteristic
1713C2×C42C2411yescharacteristic
1714C2×C42C2411yescharacteristic
1715C2×C42C2411yescharacteristic
1716C2×C42C2411yescharacteristic
1717C2×C42C2411yescharacteristic
1718C2×C42C2411yescharacteristic
1719C2×C42C2411yescharacteristic
1720C2×C42C2411yescharacteristic
1721C2×C42C2411yescharacteristic
1722C2×C42C2411yescharacteristic
1723C2×C42C2411yescharacteristic
1724C2×C42C2411yescharacteristic
1725C2×C42C2412yes—
1726C2×C42C2412yes—
1727C2×C42C2412yes—
1728C2×C42C2412yes—
1729C2×C42C2412yes—
1730C2×C42C2412yes—
1731C2×C42C2411yescharacteristic
1732C2×C42C2411yescharacteristic
1733C2×C42C2412yes—
1734C2×C42C2412yes—
1735C2×C42C2412yes—
1736C2×C42C2412yes—
1737C2×C42C2411yescharacteristic
1738C2×C42C2412yes—
1739C2×C42C2412yes—
1740C2×C42C2411yescharacteristic
1741C2×C42C2412yes—
1742C2×C42C2412yes—
1743C2×C42C2411yescharacteristic
1744#95C2411yescharacteristic
1745#95C2412yes—
1746#95C2411yescharacteristic
1747#95C2411yescharacteristic
1748#95C2411yescharacteristic
1749#95C2411yescharacteristic
1750#95C2411yescharacteristic
1751#95C2411yescharacteristic
1752#95C2411yescharacteristic
1753#95C2412yes—
1754#95C2412yes—
1755#95C2412yes—
1756#95C2412yes—
1757#95C2412yes—
1758#95C2411yescharacteristic
1759#95C2412yes—
1760#95C2411yescharacteristic
1761#95C2412yes—
1762#95C2411yescharacteristic
1763#95C2411yescharacteristic
1764#95C2411yescharacteristic
1765#95C2412yes—
1766#95C2411yescharacteristic
1767#95C2412yes—
1768#95C2412yes—
1769#95C2412yes—
1770#95C2412yes—
1771#95C2412yes—
1772#95C2412yes—
1773#95C2412yes—
1774#95C2411yescharacteristic
1775#95C2412yes—
1776#95C2412yes—
1777#95C2412yes—
1778#95C2412yes—
1779#95C2411yescharacteristic
1780#95C2411yescharacteristic
1781#95C2411yescharacteristic
1782#95C2412yes—
1783#95C2412yes—
1784#95C2412yes—
1785#95C2411yescharacteristic
1786#95C2411yescharacteristic
1787#95C2412yes—
1788#95C2411yescharacteristic
1789#95C2411yescharacteristic
1790#95C2412yes—
1791#95C2412yes—
1792#95C2412yes—
1793#95C2412yes—
1794#95C2411yescharacteristic
1795#95C2411yescharacteristic
1796#95C2411yescharacteristic
1797#95C2411yescharacteristic
1798#95C2412yes—
1799#95C2412yes—
1800#95C2411yescharacteristic
1801#95C2411yescharacteristic
1802#95C2412yes—
1803#95C2412yes—
1804#95C2411yescharacteristic
1805#95C2412yes—
1806#95C2412yes—
1807#95C2411yescharacteristic
1808#95C2412yes—
1809#95C2411yescharacteristic
1810#95C2412yes—
1811#95C2412yes—
1812#95C2412yes—
1813#95C2412yes—
1814#95C2412yes—
1815#95C2411yescharacteristic
1816#95C2411yescharacteristic
1817#95C2411yescharacteristic
1818#95C2412yes—
1819#95C2412yes—
1820#95C2412yes—
1821#95C2411yescharacteristic
1822#95C2411yescharacteristic
1823#95C2412yes—
1824#95C2411yescharacteristic
1825#95C2412yes—
1826#95C2411yescharacteristic
1827#95C2411yescharacteristic
1828#95C2411yescharacteristic
1829#95C2412yes—
1830#95C2412yes—
1831#95C2412yes—
1832#95C2412yes—
1833#95C2412yes—
1834#95C2412yes—
1835#95C2412yes—
1836#95C2412yes—
1837#95C2412yes—
1838#95C2412yes—
1839#95C2412yes—
1840#95C2412yes—
1841#95C2412yes—
1842#95C2412yes—
1843#95C2412yes—
1844#95C2412yes—
1845#95C2412yes—
1846#95C2412yes—
1847#95C2412yes—
1848#95C2412yes—
1849#95C2412yes—
1850#95C2412yes—
1851#95C2412yes—
1852#95C2412yes—
1853#95C2412yes—
1854#95C2412yes—
1855#95C2412yes—
1856#95C2412yes—
1857#95C2412yes—
1858#95C2412yes—
1859C24C2511yescharacteristic
1860C24C2512yes—
1861C24C2512yes—
1862C24C2511yescharacteristic
1863C24C2511yescharacteristic
1864C24C2511yescharacteristic
1865#41—416no—
1866#41—816no—
1867C2×Q8—22no—
1868C2×Q8—22no—
1869C2×Q8—22no—
1870C2×Q8—22no—
1871C2×Q8—24no—
1872C2×Q8—41no—
1873C2×Q8—41no—
1874C2×Q8—41no—
1875C2×Q8—42no—
1876C2×Q8—41no—
1877C2×Q8—42no—
1878C2×Q8—41no—
1879C2×Q8—42no—
1880C2×Q8—42no—
1881C2×Q8—42no—
1882C2×D4—22no—
1883C2×D4—22no—
1884C2×D4—22no—
1885C2×D4—22no—
1886C2×D4—22no—
1887C2×D4—22no—
1888C2×D4—24no—
1889C2×D4—24no—
1890C2×D4—24no—
1891C2×D4—24no—
1892C2×D4—22no—
1893C2×D4—24no—
1894C2×D4—24no—
1895C2×D4—22no—
1896C2×D4—22no—
1897C2×D4—22no—
1898C2×D4—22no—
1899C2×D4—22no—
1900C2×D4—22no—
1901C2×D4—22no—
1902C2×D4—24no—
1903C2×D4—24no—
1904C2×D4—41no—
1905C2×D4—41no—
1906C2×D4—41no—
1907C2×D4—41no—
1908C2×D4—41no—
1909C2×D4—42no—
1910C2×D4—42no—
1911C2×D4—41no—
1912C2×D4—42no—
1913C2×D4—42no—
1914C2×D4—42no—
1915C2×D4—42no—
1916C2×D4—42no—
1917C2×D4—42no—
1918C2×D4—42no—
1919C2×D4—42no—
1920C2×D4—42no—
1921C2×D4—42no—
1922C2×D4—42no—
1923C2×D4—42no—
1924C2×D4—42no—
1925C2×D4—42no—
1926C2×D4—42no—
1927C2×D4—41no—
1928C2×D4—41no—
1929C2×D4—42no—
1930C2×D4—42no—
1931C2×D4—42no—
1932C2×D4—41no—
1933C2×D4—42no—
1934C2×D4—42no—
1935C2×D4H(5,𝔽2)14yes—
1936C22×C4—22no—
1937C22×C4—22no—
1938C22×C4—22no—
1939C22×C4—22no—
1940C22×C4—22no—
1941C22×C4—22no—
1942C22×C4—22no—
1943C22×C4—22no—
1944C22×C4—22no—
1945C22×C4—24no—
1946C22×C4—22no—
1947C22×C4—22no—
1948C22×C4—22no—
1949C22×C4—22no—
1950C22×C4—22no—
1951C22×C4—22no—
1952C22×C4—22no—
1953C22×C4—22no—
1954C22×C4—22no—
1955C22×C4—22no—
1956C22×C4—22no—
1957C22×C4—22no—
1958C22×C4—22no—
1959C22×C4—22no—
1960C22×C4—22no—
1961C22×C4—24no—
1962C22×C4—24no—
1963C22×C4—24no—
1964C22×C4—22no—
1965C22×C4—22no—
1966C22×C4—41no—
1967C22×C4—41no—
1968C22×C4—41no—
1969C22×C4—41no—
1970C22×C4—41no—
1971C22×C4—41no—
1972C22×C4—41no—
1973C22×C4—41no—
1974C22×C4—41no—
1975C22×C4—41no—
1976C22×C4—42no—
1977C22×C4—42no—
1978C22×C4—42no—
1979C22×C4—42no—
1980C22×C4—42no—
1981C22×C4—41no—
1982C22×C4—42no—
1983C22×C4—41no—
1984C22×C4—42no—
1985C22×C4—42no—
1986C22×C4—42no—
1987C22×C4—42no—
1988C22×C4—42no—
1989C22×C4—41no—
1990C22×C4—41no—
1991C22×C4—42no—
1992C22×C4—41no—
1993C22×C4—42no—
1994C22×C4—42no—
1995C22×C4—42no—
1996C22×C4—42no—
1997C22×C4—42no—
1998C22×C4—42no—
1999C22×C4—42no—
2000C22×C4—42no—
2001C22×C4—42no—
2002C22×C4—42no—
2003C22×C4—42no—
2004C22×C4—42no—
2005C22×C4—42no—
2006C22×C4—42no—
2007C22×C4—42no—
2008C22×C4—42no—
2009C22×C4—42no—
2010C22×C4H(5,𝔽2)14yes—
2011C22×C4C2511yescharacteristic
2012C22×C4C2511yescharacteristic
2013C22×C4C2511yescharacteristic
2014C22×C4C2512yes—
2015C22×C4C2512yes—
2016C22×C4C2512yes—
2017C22×C4C2511yescharacteristic
2018C22×C4C2511yescharacteristic
2019C22×C4C2511yescharacteristic
2020C22×C4C2511yescharacteristic
2021C22×C4C2512yes—
2022C22×C4C2511yescharacteristic
2023C22×C4C2511yescharacteristic
2024C22×C4C2511yescharacteristic
2025C22×C4C2511yescharacteristic
2026C22×C4C2511yescharacteristic
2027C22×C4C2512yes—
2028C22×C4C2511yescharacteristic
2029C22×C4C2511yescharacteristic
2030C22×C4C2512yes—
2031C22×C4C2512yes—
2032C22×C4C2512yes—
2033C22×C4C2512yes—
2034C22×C4C2512yes—
2035C22×C4C2512yes—
2036C22×C4C2511yescharacteristic
2037C22×C4C2512yes—
2038C22×C4C2511yescharacteristic
2039C22×C4C2512yes—
2040C22×C4C2511yescharacteristic
2041C22×C4C2511yescharacteristic
2042C22×C4C2511yescharacteristic
2043C22×C4C2512yes—
2044C22×C4C2511yescharacteristic
2045C22×C4C2511yescharacteristic
2046C22×C4C2511yescharacteristic
2047C22×C4C2511yescharacteristic
2048C22×C4C2511yescharacteristic
2049C22×C4C2511yescharacteristic
2050C22×C4C2511yescharacteristic
2051C22×C4C2511yescharacteristic
2052C4⋊C4—22no—
2053C4⋊C4—22no—
2054C4⋊C4—22no—
2055C4⋊C4—22no—
2056C4⋊C4—22no—
2057C4⋊C4—24no—
2058C4⋊C4—24no—
2059C4⋊C4—24no—
2060C4⋊C4—24no—
2061C4⋊C4—22no—
2062C4⋊C4—22no—
2063C4⋊C4—22no—
2064C4⋊C4—22no—
2065C4⋊C4—22no—
2066C4⋊C4—24no—
2067C4⋊C4—22no—
2068C4⋊C4—22no—
2069C4⋊C4—22no—
2070C4⋊C4—22no—
2071C4⋊C4—22no—
2072C4⋊C4—22no—
2073C4⋊C4—22no—
2074C4⋊C4—22no—
2075C4⋊C4—22no—
2076C4⋊C4—22no—
2077C4⋊C4—22no—
2078C4⋊C4—22no—
2079C4⋊C4—24no—
2080C4⋊C4—24no—
2081C4⋊C4—22no—
2082C4⋊C4—24no—
2083C4⋊C4—22no—
2084C4⋊C4—22no—
2085C4⋊C4—24no—
2086C4⋊C4—22no—
2087C4⋊C4—22no—
2088C4⋊C4—22no—
2089C4⋊C4—24no—
2090C4⋊C4—22no—
2091C4⋊C4—22no—
2092C4⋊C4—41no—
2093C4⋊C4—41no—
2094C4⋊C4—42no—
2095C4⋊C4—42no—
2096C4⋊C4—42no—
2097C4⋊C4—42no—
2098C4⋊C4—42no—
2099C4⋊C4—42no—
2100C4⋊C4—41no—
2101C4⋊C4—41no—
2102C4⋊C4—42no—
2103C4⋊C4—42no—
2104C4⋊C4—42no—
2105C4⋊C4—42no—
2106C4⋊C4—42no—
2107C4⋊C4—42no—
2108C4⋊C4—42no—
2109C4⋊C4—42no—
2110C4⋊C4—42no—
2111C4⋊C4—41no—
2112C4⋊C4—41no—
2113C4⋊C4—42no—
2114C4⋊C4—42no—
2115C4⋊C4—41no—
2116C4⋊C4—41no—
2117C4⋊C4—41no—
2118C4⋊C4—41no—
2119C4⋊C4—41no—
2120C4⋊C4—41no—
2121C4⋊C4—42no—
2122C4⋊C4—41no—
2123C4⋊C4—41no—
2124C4⋊C4—42no—
2125C4⋊C4—42no—
2126C4⋊C4—42no—
2127C4⋊C4—42no—
2128C4⋊C4—42no—
2129C4⋊C4—42no—
2130C4⋊C4—41no—
2131C4⋊C4—42no—
2132C4⋊C4—42no—
2133C4⋊C4—41no—
2134C4⋊C4—42no—
2135C4⋊C4—42no—
2136C4⋊C4—41no—
2137C4⋊C4—41no—
2138C4⋊C4—42no—
2139C4⋊C4—42no—
2140C4⋊C4—42no—
2141C4⋊C4—42no—
2142C4⋊C4—42no—
2143C4⋊C4—42no—
2144C4⋊C4—42no—
2145C4⋊C4—41no—
2146C4⋊C4—42no—
2147C4⋊C4—42no—
2148C4⋊C4—42no—
2149C4⋊C4—42no—
2150C4⋊C4—42no—
2151C4⋊C4—42no—
2152C4⋊C4—42no—
2153C4⋊C4—41no—
2154C4⋊C4—41no—
2155C4⋊C4—42no—
2156C4⋊C4—42no—
2157C4⋊C4—42no—
2158C4⋊C4—42no—
2159C4⋊C4—42no—
2160C4⋊C4—42no—
2161C4⋊C4—42no—
2162C4⋊C4—42no—
2163C4⋊C4—42no—
2164C4⋊C4—42no—
2165C4⋊C4—42no—
2166C4⋊C4—42no—
2167C4⋊C4—42no—
2168C4⋊C4—42no—
2169C22⋊C4—22no—
2170C22⋊C4—24no—
2171C22⋊C4—22no—
2172C22⋊C4—22no—
2173C22⋊C4—22no—
2174C22⋊C4—24no—
2175C22⋊C4—24no—
2176C22⋊C4—22no—
2177C22⋊C4—22no—
2178C22⋊C4—24no—
2179C22⋊C4—22no—
2180C22⋊C4—24no—
2181C22⋊C4—24no—
2182C22⋊C4—24no—
2183C22⋊C4—24no—
2184C22⋊C4—24no—
2185C22⋊C4—22no—
2186C22⋊C4—22no—
2187C22⋊C4—22no—
2188C22⋊C4—22no—
2189C22⋊C4—22no—
2190C22⋊C4—24no—
2191C22⋊C4—22no—
2192C22⋊C4—24no—
2193C22⋊C4—22no—
2194C22⋊C4—22no—
2195C22⋊C4—22no—
2196C22⋊C4—24no—
2197C22⋊C4—22no—
2198C22⋊C4—24no—
2199C22⋊C4—24no—
2200C22⋊C4—22no—
2201C22⋊C4—22no—
2202C22⋊C4—41no—
2203C22⋊C4—42no—
2204C22⋊C4—42no—
2205C22⋊C4—42no—
2206C22⋊C4—42no—
2207C22⋊C4—41no—
2208C22⋊C4—41no—
2209C22⋊C4—42no—
2210C22⋊C4—42no—
2211C22⋊C4—42no—
2212C22⋊C4—42no—
2213C22⋊C4—42no—
2214C22⋊C4—42no—
2215C22⋊C4—41no—
2216C22⋊C4—41no—
2217C22⋊C4—41no—
2218C22⋊C4—42no—
2219C22⋊C4—41no—
2220C22⋊C4—42no—
2221C22⋊C4—42no—
2222C22⋊C4—42no—
2223C22⋊C4—42no—
2224C22⋊C4—42no—
2225C22⋊C4—42no—
2226C22⋊C4—41no—
2227C22⋊C4—42no—
2228C22⋊C4—42no—
2229C22⋊C4—41no—
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—42no—
2241C22⋊C4—42no—
2242C22⋊C4—42no—
2243C22⋊C4—42no—
2244C22⋊C4—42no—
2245C22⋊C4—42no—
2246C22⋊C4—42no—
2247C22⋊C4—41no—
2248C22⋊C4—42no—
2249C22⋊C4—42no—
2250C22⋊C4—42no—
2251C22⋊C4—41no—
2252C22⋊C4—42no—
2253C22⋊C4—42no—
2254C22⋊C4—42no—
2255C22⋊C4—41no—
2256C22⋊C4—41no—
2257C22⋊C4—42no—
2258C22⋊C4—41no—
2259C22⋊C4—42no—
2260C22⋊C4—42no—
2261C22⋊C4—42no—
2262C22⋊C4—41no—
2263C22⋊C4—42no—
2264C42—22no—
2265C42—22no—
2266C42—22no—
2267C42—22no—
2268C42—22no—
2269C42—22no—
2270C42—22no—
2271C42—22no—
2272C42—24no—
2273C42—22no—
2274C42—22no—
2275C42—22no—
2276C42—22no—
2277C42—22no—
2278C42—22no—
2279C42—41no—
2280C42—41no—
2281C42—41no—
2282C42—41no—
2283C42—41no—
2284C42—41no—
2285C42—42no—
2286C42—42no—
2287C42—42no—
2288C42—42no—
2289C42—42no—
2290C42—42no—
2291C42—42no—
2292C42—42no—
2293C42—42no—
2294C42—42no—
2295C42—42no—
2296C42—42no—
2297C42—42no—
2298C42—42no—
2299C422−1+414yes—
2300C23—21no—
2301C23—21no—
2302C23—21no—
2303C23—21no—
2304C23—21no—
2305C23—21no—
2306C23—21no—
2307C23—21no—
2308C23—21no—
2309C23—21no—
2310C23—21no—
2311C23—21no—
2312C23—21no—
2313C23—21no—
2314C23—21no—
2315C23—21no—
2316C23—21no—
2317C23—21no—
2318C23—22no—
2319C23—21no—
2320C23—21no—
2321C23—22no—
2322C23—22no—
2323C23—22no—
2324C23—22no—
2325C23—21no—
2326C23—22no—
2327C23—21no—
2328C23—21no—
2329C23—21no—
2330C23—22no—
2331C23—22no—
2332C23—22no—
2333C23—22no—
2334C23—22no—
2335C23—22no—
2336C23—22no—
2337C23—22no—
2338C23—21no—
2339C23C2×H(5,𝔽2)12yes—
2340C23C2×H(5,𝔽2)12yes—
2341C23C2×H(5,𝔽2)12yes—
2342C23C2611yescharacteristic
2343Q8—44no—
2344Q8—44no—
2345Q8—84no—
2346Q8—82no—
2347Q8—162no—
2348D4—44no—
2349D4—44no—
2350D4—44no—
2351D4—44no—
2352D4—44no—
2353D4—44no—
2354D4—84no—
2355D4—84no—
2356D4—84no—
2357D4—84no—
2358D4—84no—
2359D4—84no—
2360D4—82no—
2361D4—82no—
2362D4—84no—
2363D4—84no—
2364D4—84no—
2365D4—84no—
2366C2×C4—28no—
2367C2×C4—21no—
2368C2×C4—21no—
2369C2×C4—21no—
2370C2×C4—21no—
2371C2×C4—21no—
2372C2×C4—21no—
2373C2×C4—21no—
2374C2×C4—21no—
2375C2×C4—21no—
2376C2×C4—21no—
2377C2×C4—21no—
2378C2×C4—21no—
2379C2×C4—28no—
2380C2×C4—21no—
2381C2×C4—21no—
2382C2×C4—21no—
2383C2×C4—21no—
2384C2×C4—21no—
2385C2×C4—21no—
2386C2×C4—21no—
2387C2×C4—22no—
2388C2×C4—21no—
2389C2×C4—21no—
2390C2×C4—21no—
2391C2×C4—22no—
2392C2×C4—21no—
2393C2×C4—21no—
2394C2×C4—21no—
2395C2×C4—21no—
2396C2×C4—22no—
2397C2×C4—21no—
2398C2×C4—22no—
2399C2×C4—21no—
2400C2×C4—22no—
2401C2×C4—22no—
2402C2×C4—22no—
2403C2×C4—22no—
2404C2×C4—22no—
2405C2×C4—22no—
2406C2×C4—22no—
2407C2×C4—22no—
2408C2×C4—22no—
2409C2×C4—21no—
2410C2×C4—22no—
2411C2×C4—21no—
2412C2×C4—21no—
2413C2×C4—22no—
2414C2×C4—22no—
2415C2×C4—21no—
2416C2×C4—21no—
2417C2×C4—21no—
2418C2×C4—21no—
2419C2×C4—21no—
2420C2×C4—21no—
2421C2×C4—21no—
2422C2×C4—21no—
2423C2×C4—22no—
2424C2×C4—21no—
2425C2×C4—21no—
2426C2×C4—22no—
2427C2×C4—21no—
2428C2×C4—21no—
2429C2×C4—21no—
2430C2×C4—21no—
2431C2×C4—22no—
2432C2×C4—22no—
2433C2×C4—22no—
2434C2×C4—22no—
2435C2×C4—22no—
2436C2×C4—22no—
2437C2×C4—22no—
2438C2×C4—22no—
2439C2×C4—22no—
2440C2×C4—22no—
2441C2×C4—22no—
2442C2×C4—21no—
2443C2×C4—21no—
2444C2×C4—21no—
2445C2×C4—21no—
2446C2×C4—21no—
2447C2×C4—21no—
2448C2×C4—21no—
2449C2×C4—21no—
2450C2×C4—21no—
2451C2×C4—22no—
2452C2×C4—22no—
2453C2×C4—21no—
2454C2×C4—21no—
2455C2×C4—21no—
2456C2×C4—22no—
2457C2×C4—22no—
2458C2×C4—22no—
2459C2×C4—22no—
2460C2×C4—22no—
2461C2×C4—21no—
2462C2×C4—21no—
2463C2×C4—21no—
2464C2×C4—21no—
2465C2×C4—22no—
2466C2×C4—21no—
2467C2×C4—21no—
2468C2×C4—22no—
2469C2×C4—21no—
2470C2×C4—22no—
2471C2×C4—22no—
2472C2×C4—21no—
2473C2×C4—22no—
2474C2×C4—21no—
2475C2×C4—21no—
2476C2×C4—21no—
2477C2×C4—22no—
2478C2×C4—21no—
2479C2×C4—21no—
2480C2×C4—21no—
2481C2×C4—21no—
2482C2×C4—44no—
2483C2×C4—44no—
2484C2×C4—44no—
2485C2×C4—44no—
2486C2×C4—44no—
2487C2×C4—44no—
2488C2×C4—44no—
2489C2×C4—44no—
2490C2×C4—84no—
2491C2×C4—82no—
2492C2×C4—82no—
2493C2×C4—84no—
2494C2×C4—84no—
2495C2×C4—84no—
2496C2×C4—82no—
2497C2×C4—84no—
2498C2×C4—82no—
2499C2×C4—84no—
2500C2×C4—162no—
2501C2×C4—162no—
2502C2×C4—162no—
2503C2×C4—162no—
2504C2×C4—162no—
2505C2×C4C2×H(5,𝔽2)12yes—
2506C2×C4C2×H(5,𝔽2)12yes—
2507C2×C4C2×H(5,𝔽2)12yes—
2508C2×C4C2×2−1+412yes—
2509C2×C4C2×2−1+412yes—
2510C2×C4C2×2−1+412yes—
2511C2×C4#58512yes—
2512C2×C4#58512yes—
2513C2×C4#58512yes—
2514C22—22no—
2515C22—22no—
2516C22—22no—
2517C22—22no—
2518C22—22no—
2519C22—22no—
2520C22—22no—
2521C22—22no—
2522C22—22no—
2523C22—41no—
2524C22—41no—
2525C22—41no—
2526C22—41no—
2527C22—41no—
2528C22—41no—
2529C22—41no—
2530C22—41no—
2531C22—41no—
2532C22—41no—
2533C22—41no—
2534C22—41no—
2535C22—41no—
2536C22—42no—
2537C22—42no—
2538C22—42no—
2539C22—42no—
2540C22—41no—
2541C22—42no—
2542C22—42no—
2543C22—41no—
2544C22—42no—
2545C22—41no—
2546C22—42no—
2547C22—42no—
2548C22—41no—
2549C22—42no—
2550C22—41no—
2551C22—42no—
2552C22—42no—
2553C22—41no—
2554C22—42no—
2555C22—42no—
2556C22C22×H(5,𝔽2)11yescharacteristic
2557C22C22×H(5,𝔽2)11yescharacteristic
2558C22C22×2−1+411yescharacteristic
2559C22C2×#58511yescharacteristic
2560C22C2×#58511yescharacteristic
2561C22C2×#58511yescharacteristic
2562C222−1+611yescharacteristic
2563C4—22no—
2564C4—22no—
2565C4—22no—
2566C4—22no—
2567C4—22no—
2568C4—22no—
2569C4—41no—
2570C4—41no—
2571C4—41no—
2572C4—42no—
2573C4—41no—
2574C4—42no—
2575C4—42no—
2576C4—42no—
2577C4—42no—
2578C4—42no—
2579C4—41no—
2580C4—41no—
2581C4—41no—
2582C4—42no—
2583C4—42no—
2584C4—42no—
2585C4—42no—
2586C4—41no—
2587C4—41no—
2588C4—41no—
2589C4—41no—
2590C4—41no—
2591C4—41no—
2592C4—42no—
2593C4—41no—
2594C4—41no—
2595C4—41no—
2596C4—41no—
2597C4—41no—
2598C4—42no—
2599C4—41no—
2600C4—41no—
2601C4—42no—
2602C4—42no—
2603C4#355914yes—
2604C2—42no—
2605C2—42no—
2606C2—42no—
2607C2—81no—
2608C2—82no—
2609C2—82no—
2610C2C2×#355911yescharacteristic
2611C2#6281811yescharacteristic
2612C2#6283811yescharacteristic
2613C2#6291511yescharacteristic
2614C2#6292711yescharacteristic
2615C2#6296711yescharacteristic
2616C2#6302111yescharacteristic
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. #59213C2semidirect
2. #59117C2semidirect
3. #58095C2semidirect
4. #56595C2semidirect
5. #55542C2semidirect
6. #54334C2semidirect
7. #53704C2semidirect
8. #53111C2semidirect
9. #51646C2semidirect
10. #51523C2semidirect
11. #50070C2semidirect
12. #49843C2semidirect
13. #49495C2semidirect
14. #48079C2semidirect
15. #46624C2semidirect
16. #46502C2semidirect
17. #46358C2semidirect
18. #45695C2semidirect
19. #45674C2semidirect
20. #45649C2semidirect
21. #45160C2semidirect
22. #45016C2semidirect
23. #44966C2semidirect
24. #43036C2semidirect
25. #42949C2semidirect
26. #42516C2semidirect
27. #42495C2semidirect
28. #40799C2semidirect
29. #40101C2semidirect
30. #39906C2semidirect
31. #39767C2semidirect
32. #39476C2semidirect
33. #39400C2semidirect
34. #38914C2semidirect
35. #38098C2semidirect
36. #37944C2semidirect
37. #37794C2semidirect
38. #37348C2semidirect
39. #37280C2semidirect
40. #36606C2semidirect
41. #36375C2semidirect
42. #35736C2semidirect
43. #35588C2semidirect
44. #35555C2semidirect
45. #35273C2semidirect
46. #35239C2semidirect
47. #34735C2semidirect

Maximal subgroups

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

subgroupindex
#592132
#591172
#580952
#565952
#555422
#543342
#537042
#531112
#516462
#515232
#500702
#498432
#494952
#480792
#466242
#465022
#463582
#456952
#456742
#456492
#451602
#450162
#449662
#430362
#429492
#425162
#424952
#407992
#401012
#399062
#397672
#394762
#394002
#389142
#380982
#379442
#377942
#373482
#372802
#366062
#363752
#357362
#355882
#355552
#352732
#352392
#347352