Finite Group Databasebeta

← #7685291

Subgroups — #7685291

Order 512.

5205 conjugacy classes of subgroups.

The subgroup lattice has 2663 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59759C212yesmaximal, complemented
2#59734C212yesmaximal, complemented
3#59724C212yesmaximal, complemented
4#59710C211yesmaximal, characteristic, complemented
5#59632C211yesmaximal, characteristic, complemented
6#59628C211yesmaximal, characteristic, complemented
7#59587C211yesmaximal, characteristic, complemented
8#59548C211yesmaximal, characteristic, complemented
9#59524C212yesmaximal, complemented
10#59175C212yesmaximal, complemented
11#45373C211yesmaximal, characteristic, complemented
12#45311C211yesmaximal, characteristic, complemented
13#45036C211yesmaximal, characteristic, complemented
14#44973C211yesmaximal, characteristic, complemented
15#44071C212yesmaximal, complemented
16#43292C212yesmaximal, complemented
17#43183C212yesmaximal, complemented
18#43182C212yesmaximal, complemented
19#40285C212yesmaximal, complemented
20#40272C212yesmaximal, complemented
21#39841C212yesmaximal, complemented
22#39818C211yesmaximal, characteristic, complemented
23#39426C211yesmaximal, characteristic, complemented
24#39325C212yesmaximal, complemented
25#39292C211yesmaximal, characteristic, complemented
26#39059C211yesmaximal, characteristic, complemented
27#36596C211yesmaximal, characteristic, complemented
28#36493C212yesmaximal, complemented
29#36463C211yesmaximal, characteristic, complemented
30#36462C211yesmaximal, characteristic, complemented
31#36462C212yesmaximal, complemented
32#36414C211yesmaximal, characteristic, complemented
33#36369C211yesmaximal, characteristic, complemented
34#36257C211yesmaximal, characteristic, complemented
35#36115C211yesmaximal, characteristic, complemented
36#35882C211yesmaximal, characteristic, complemented
37#35828C211yesmaximal, characteristic, complemented
38#35768C211yesmaximal, characteristic, complemented
39#35768C211yesmaximal, characteristic, complemented
40#34908C211yesmaximal, characteristic, complemented
41#34741C212yesmaximal, complemented
42#34319C211yesmaximal, characteristic, complemented
43#34301C211yesmaximal, characteristic, complemented
44#34287C211yesmaximal, characteristic, complemented
45#34271C211yesmaximal, characteristic, complemented
46C4×#553C211yesmaximal, characteristic, complemented
47C4×#547C211yesmaximal, characteristic, complemented
48C2×#559C2212yes—
49C2×#553C2211yescharacteristic
50C2×#553C2211yescharacteristic
51C2×#553C2211yescharacteristic
52C2×#547C2211yescharacteristic
53C2×#544C2211yescharacteristic
54C2×#540C2211yescharacteristic
55C2×#529C2212yes—
56C2×C4×#41C2212yes—
57#2860C2211yescharacteristic
58#2860C2212yes—
59#2858C2211yescharacteristic
60#2856C2211yescharacteristic
61#2856C2212yes—
62#2854C2211yescharacteristic
63#2854C2211yescharacteristic
64#2850C2212yes—
65#2850C2212yes—
66#2850C2212yes—
67#2803C2212yes—
68#2800C2212yes—
69#2798C2212yes—
70#2793C2212yes—
71#2791C2212yes—
72#2787C2212yes—
73#2786C2212yes—
74#2780C2212yes—
75#2779C2212yes—
76#2777C2212yes—
77#2772C2212yes—
78#2756C2212yes—
79#2755C2212yes—
80#2753C2212yes—
81#2752C2212yes—
82#2750C2212yes—
83#2749C2212yes—
84#2727C2212yes—
85#2723C2212yes—
86#2714C2212yes—
87#2714C2212yes—
88#2712C2212yes—
89#2711C2212yes—
90#2711C2212yes—
91#2709C2212yes—
92#2709C2212yes—
93#2703C2212yes—
94#2701C2212yes—
95#2701C2212yes—
96#2700C2212yes—
97#2696C2212yes—
98#2691C2212yes—
99#2689C2212yes—
100#2689C2212yes—
101#2688C2212yes—
102#2682C2212yes—
103#2681C2212yes—
104#2676C2212yes—
105#2674C2212yes—
106#2674C2212yes—
107#2673C2212yes—
108#2673C2212yes—
109#2661C2212yes—
110#2661C2212yes—
111#2650C2212yes—
112#2649C2212yes—
113#2644C2211yescharacteristic
114#2628C2211yescharacteristic
115#2619C2211yescharacteristic
116#2619C2211yescharacteristic
117#2608C2211yescharacteristic
118#2602C2211yescharacteristic
119#2602C2212yes—
120#2602C2212yes—
121#2602C2212yes—
122#2602C2212yes—
123#2602C2212yes—
124#2602C2211yescharacteristic
125#2602C2212yes—
126#2601C2212yes—
127#2600C2212yes—
128#2600C2211yescharacteristic
129#2597C2212yes—
130#2597C2211yescharacteristic
131#2597C2212yes—
132#2597C2212yes—
133#2596C2212yes—
134#2595C2212yes—
135#2594C2211yescharacteristic
136#2593C2212yes—
137#2593C2212yes—
138#2590C2212yes—
139#2590C2211yescharacteristic
140#2587C2211yescharacteristic
141#2585C2212yes—
142#2577C2211yescharacteristic
143#2576C2212yes—
144#2576C2211yescharacteristic
145#2575C2212yes—
146#2574C2212yes—
147#2572C2212yes—
148#2572C2212yes—
149#2570C2211yescharacteristic
150#2563C2211yescharacteristic
151#2560C2212yes—
152#2560C2212yes—
153#2560C2212yes—
154#2560C2212yes—
155#2560C2212yes—
156#2559C2212yes—
157#2559C2212yes—
158#2559C2212yes—
159#2559C2211yescharacteristic
160#2559C2212yes—
161#2558C2212yes—
162#2558C2211yescharacteristic
163#2557C2212yes—
164#2557C2212yes—
165#2554C2212yes—
166#2554C2212yes—
167#2554C2212yes—
168#2554C2212yes—
169#2554C2212yes—
170#2554C2212yes—
171#2554C2212yes—
172#2554C2212yes—
173#2554C2212yes—
174#2553C2212yes—
175#2552C2211yescharacteristic
176#2550C2211yescharacteristic
177#2550C2211yescharacteristic
178#2543C2212yes—
179#2543C2212yes—
180#2542C2211yescharacteristic
181#2541C2211yescharacteristic
182#2541C2212yes—
183#2541C2211yescharacteristic
184#2541C2211yescharacteristic
185#2541C2211yescharacteristic
186#2540C2212yes—
187#2540C2212yes—
188#2538C2212yes—
189#2535C2212yes—
190#2535C2212yes—
191#2531C2212yes—
192#2529C2212yes—
193#2529C2212yes—
194#2526C2212yes—
195#2525C2212yes—
196#2524C2212yes—
197#2523C2212yes—
198#2521C2212yes—
199#2520C2212yes—
200#2519C2212yes—
201#2518C2211yescharacteristic
202#2518C2212yes—
203#2518C2212yes—
204#2516C2212yes—
205#2513C2211yescharacteristic
206#2513C2212yes—
207#2512C2211yescharacteristic
208#2512C2211yescharacteristic
209#2512C2212yes—
210#2512C2211yescharacteristic
211#2508C2211yescharacteristic
212#2508C2211yescharacteristic
213#2508C2212yes—
214#2508C2211yescharacteristic
215#2507C2211yescharacteristic
216#2497C2211yescharacteristic
217#2497C2211yescharacteristic
218#2496C2211yescharacteristic
219#2495C2211yescharacteristic
220#2491C2212yes—
221#2491C2211yescharacteristic
222#2491C2211yescharacteristic
223#2491C2211yescharacteristic
224#2491C2211yescharacteristic
225#2490C2211yescharacteristic
226#2490C2211yescharacteristic
227#2490C2211yescharacteristic
228#2490C2211yescharacteristic
229#2490C2211yescharacteristic
230#2490C2211yescharacteristic
231#2488C2212yes—
232#2487C2211yescharacteristic
233#2486C2211yescharacteristic
234#2476C2212yes—
235#2474C2212yes—
236#2471C2212yes—
237#2471C2212yes—
238#2471C2212yes—
239#2471C2212yes—
240#2471C2212yes—
241#2469C2212yes—
242#2469C2212yes—
243#2468C2212yes—
244#2467C2212yes—
245#2467C2212yes—
246#2467C2212yes—
247#2466C2212yes—
248#2466C2212yes—
249#2466C2211yescharacteristic
250#2465C2212yes—
251#2464C2212yes—
252#2464C2212yes—
253#2463C2212yes—
254#2462C2212yes—
255#2461C2212yes—
256#2461C2212yes—
257#2461C2212yes—
258#2460C2211yescharacteristic
259#2459C2212yes—
260#2459C2212yes—
261#2459C2212yes—
262#2459C2212yes—
263#2459C2212yes—
264#2458C2212yes—
265#2458C2212yes—
266#2458C2212yes—
267#2457C2212yes—
268#2456C2212yes—
269#2456C2212yes—
270#2456C2211yescharacteristic
271#2456C2212yes—
272#2456C2212yes—
273#2455C2212yes—
274#2454C2211yescharacteristic
275#2452C2211yescharacteristic
276#2452C2212yes—
277#2448C2212yes—
278#2448C2212yes—
279#2445C2211yescharacteristic
280#2445C2211yescharacteristic
281#2445C2212yes—
282#2445C2212yes—
283#2445C2212yes—
284#2445C2212yes—
285#2445C2211yescharacteristic
286#2445C2211yescharacteristic
287#2444C2212yes—
288#2441C2211yescharacteristic
289#2440C2211yescharacteristic
290#2431C2212yes—
291#2431C2212yes—
292#2428C2211yescharacteristic
293#2428C2211yescharacteristic
294#2428C2212yes—
295#2427C2212yes—
296#2426C2212yes—
297#2425C2212yes—
298#2420C2211yescharacteristic
299#2420C2212yes—
300#2420C2211yescharacteristic
301#2419C2212yes—
302#2416C2211yescharacteristic
303#2416C2211yescharacteristic
304#2416C2211yescharacteristic
305#2414C2211yescharacteristic
306#2414C2211yescharacteristic
307#2414C2211yescharacteristic
308#2414C2211yescharacteristic
309#2414C2211yescharacteristic
310#2401C2211yescharacteristic
311#2396C2212yes—
312#2392C2212yes—
313#2392C2211yescharacteristic
314#2392C2211yescharacteristic
315#2392C2211yescharacteristic
316#2388C2212yes—
317#2388C2212yes—
318#2374C2212yes—
319#2374C2212yes—
320#2374C2212yes—
321#2374C2212yes—
322#2373C2212yes—
323#2373C2212yes—
324#2373C2212yes—
325#2370C2211yescharacteristic
326#2370C2212yes—
327#2370C2211yescharacteristic
328#2370C2211yescharacteristic
329#2370C2212yes—
330#2370C2211yescharacteristic
331#2370C2211yescharacteristic
332#2370C2211yescharacteristic
333#2370C2211yescharacteristic
334#2369C2212yes—
335#2369C2211yescharacteristic
336#2369C2211yescharacteristic
337#2366C2211yescharacteristic
338#2366C2211yescharacteristic
339#2366C2211yescharacteristic
340#2366C2212yes—
341#2366C2212yes—
342#2366C2211yescharacteristic
343#2365C2211yescharacteristic
344#2365C2212yes—
345#2365C2211yescharacteristic
346#2365C2211yescharacteristic
347#2364C2212yes—
348#2364C2212yes—
349#2363C2211yescharacteristic
350#2363C2211yescharacteristic
351#2363C2212yes—
352#2363C2212yes—
353#2363C2211yescharacteristic
354#2363C2211yescharacteristic
355#2363C2211yescharacteristic
356#2363C2212yes—
357#2363C2211yescharacteristic
358#2363C2212yes—
359#2363C2211yescharacteristic
360#2362C2212yes—
361#2361C2211yescharacteristic
362#2361C2211yescharacteristic
363#2361C2211yescharacteristic
364#2361C2211yescharacteristic
365#2361C2211yescharacteristic
366#2361C2211yescharacteristic
367#2361C2211yescharacteristic
368#2359C2212yes—
369#2359C2212yes—
370#2359C2212yes—
371#2359C2212yes—
372#2357C2211yescharacteristic
373#2357C2212yes—
374#2357C2212yes—
375#2357C2212yes—
376#2357C2211yescharacteristic
377#2355C2212yes—
378#2354C2211yescharacteristic
379#2354C2211yescharacteristic
380#2354C2211yescharacteristic
381#2354C2211yescharacteristic
382#2353C2212yes—
383#2353C2212yes—
384#2352C2211yescharacteristic
385#2352C2211yescharacteristic
386#2352C2211yescharacteristic
387D4×C4⋊C4C2211yescharacteristic
388#2347C2212yes—
389#2347C2211yescharacteristic
390#2347C2211yescharacteristic
391#2346C2211yescharacteristic
392#2345C2211yescharacteristic
393#2344C2211yescharacteristic
394#2344C2211yescharacteristic
395#2339C2212yes—
396#2335C2212yes—
397#2335C2212yes—
398#2334C2212yes—
399#2333C2212yes—
400#2333C2212yes—
401#2333C2212yes—
402#2330C2211yescharacteristic
403#2329C2212yes—
404#2329C2212yes—
405#2324C2211yescharacteristic
406#2324C2211yescharacteristic
407#2324C2211yescharacteristic
408#2319C2211yescharacteristic
409#2316C2211yescharacteristic
410C4×C4⋊Q8C2211yescharacteristic
411C4×#125C2211yescharacteristic
412C4×#125C2211yescharacteristic
413C4×#125C2211yescharacteristic
414C4×#126C2211yescharacteristic
415C4×#126C2212yes—
416C4×#126C2212yes—
417C4×C22⋊Q8C2212yes—
418C4×C22⋊Q8C2212yes—
419C4×C22⋊Q8C2212yes—
420C4×#123C2212yes—
421C4×#123C2212yes—
422C4×#123C2211yescharacteristic
423C4×#123C2212yes—
424C4×#123C2212yes—
425C4×#123C2211yescharacteristic
426C4×#123C2212yes—
427C4×#123C2212yes—
428C4×#121C2211yescharacteristic
429C4×#121C2212yes—
430C4×#121C2212yes—
431C4×#121C2211yescharacteristic
432C4×#121C2211yescharacteristic
433C4×#121C2211yescharacteristic
434C4×#121C2211yescharacteristic
435C4×#121C2211yescharacteristic
436C4×#121C2212yes—
437#2298C2212yes—
438#2298C2211yescharacteristic
439#2296C2211yescharacteristic
440#2296C2211yescharacteristic
441#2293C2211yescharacteristic
442#2293C2211yescharacteristic
443#2293C2212yes—
444#2290C2212yes—
445#2290C2212yes—
446#2290C2211yescharacteristic
447#2275C2211yescharacteristic
448#2274C2211yescharacteristic
449#2274C2211yescharacteristic
450#2274C2211yescharacteristic
451C42×D4C2211yescharacteristic
452C42×D4C2211yescharacteristic
453C42×D4C2211yescharacteristic
454C42×D4C2211yescharacteristic
455C42×D4C2212yes—
456C4×#117C2211yescharacteristic
457C2×C4×C4⋊C4C2211yescharacteristic
458C2×C4×C4⋊C4C2211yescharacteristic
459C22×#41C2312yes—
460#559—48no—
461#553—28no—
462#553—28no—
463#553—28no—
464#547—28no—
465#544—28no—
466#540—28no—
467C2×C4⋊Q8C2311yescharacteristic
468C2×C4⋊Q8C2311yescharacteristic
469C2×C4⋊Q8C2312yes—
470C2×C4⋊Q8C2311yescharacteristic
471C2×#127C2311yescharacteristic
472C2×#127C2311yescharacteristic
473C2×#127C2312yes—
474C2×#127C2311yescharacteristic
475C2×#127C2312yes—
476C2×#127C2312yes—
477#529—48no—
478C2×#126C2312yes—
479C2×#126C2312yes—
480C2×#126C2312yes—
481C2×#126C2311yescharacteristic
482C2×#126C2312yes—
483C2×#126C2312yes—
484C2×#126C2312yes—
485C2×#126C2312yes—
486C2×#126C2312yes—
487C2×#125C2311yescharacteristic
488C2×#125C2311yescharacteristic
489C2×#125C2311yescharacteristic
490C2×#125C2311yescharacteristic
491C2×#125C2312yes—
492C2×#125C2311yescharacteristic
493C2×#124C2312yes—
494C2×#124C2312yes—
495C2×#124C2312yes—
496C2×#124C2312yes—
497C2×#124C2312yes—
498C2×#124C2312yes—
499C2×#123C2312yes—
500C2×#123C2312yes—
501C2×#123C2312yes—
502C2×#123C2312yes—
503C2×#123C2312yes—
504C2×#123C2312yes—
505C2×#123C2312yes—
506C2×#123C2312yes—
507C2×#123C2311yescharacteristic
508C2×#123C2312yes—
509C2×#123C2311yescharacteristic
510C2×#123C2312yes—
511C2×#123C2312yes—
512C2×#123C2312yes—
513C2×#123C2312yes—
514C2×#123C2312yes—
515C2×C22⋊Q8C2312yes—
516C2×C22⋊Q8C2312yes—
517C2×C22⋊Q8C2312yes—
518C2×C22⋊Q8C2312yes—
519C2×C22⋊Q8C2312yes—
520C2×C22⋊Q8C2312yes—
521C2×C22⋊Q8C2312yes—
522C2×#121C2311yescharacteristic
523C2×#121C2311yescharacteristic
524C2×#121C2311yescharacteristic
525C2×#121C2312yes—
526C2×#121C2312yes—
527C2×#121C2312yes—
528C2×#121C2311yescharacteristic
529C2×#121C2311yescharacteristic
530C2×#121C2311yescharacteristic
531C2×#121C2311yescharacteristic
532C2×#121C2311yescharacteristic
533C2×#121C2312yes—
534C2×#121C2311yescharacteristic
535C2×#121C2311yescharacteristic
536C2×#121C2312yes—
537C2×#121C2311yescharacteristic
538C2×#121C2311yescharacteristic
539C2×#121C2311yescharacteristic
540C2×#121C2312yes—
541C2×#121C2312yes—
542C2×#121C2312yes—
543C2×#121C2312yes—
544C2×#121C2312yes—
545C2×#121C2312yes—
546C2×#121C2312yes—
547C2×#121C2312yes—
548C2×#121C2312yes—
549C4×#41—48no—
550C2×C4×Q8C2312yes—
551C2×C4×Q8C2312yes—
552C2×C4×Q8C2312yes—
553C2×C4×Q8C2312yes—
554C2×C4×D4C2311yescharacteristic
555C2×C4×D4C2311yescharacteristic
556C2×C4×D4C2311yescharacteristic
557C2×C4×D4C2312yes—
558C2×C4×D4C2312yes—
559C2×C4×D4C2311yescharacteristic
560C2×C4×D4C2311yescharacteristic
561C2×C4×D4C2312yes—
562C2×C4×D4C2311yescharacteristic
563C2×C4×D4C2311yescharacteristic
564C2×C4×D4C2311yescharacteristic
565C2×C4×D4C2311yescharacteristic
566C2×C4×D4C2311yescharacteristic
567C2×C4×D4C2311yescharacteristic
568C2×C4×D4C2311yescharacteristic
569C2×C4×D4C2311yescharacteristic
570C2×C4×D4C2312yes—
571C2×C4×D4C2311yescharacteristic
572C2×C4×D4C2312yes—
573C2×C4×D4C2312yes—
574C2×C4×D4C2312yes—
575C2×C4×D4C2312yes—
576C2×C4×D4C2312yes—
577C2×C4×D4C2311yescharacteristic
578C2×C4×D4C2311yescharacteristic
579C2×C4×D4C2312yes—
580C2×C4×D4C2312yes—
581C2×C4×D4C2311yescharacteristic
582C2×C4×D4C2312yes—
583C2×C4×D4C2312yes—
584C2×C4×D4C2311yescharacteristic
585C2×C4×D4C2312yes—
586C2×C4×D4C2312yes—
587C2×C4×D4C2312yes—
588C2×C4×D4C2312yes—
589C2×C4×D4C2311yescharacteristic
590C2×C4×D4C2312yes—
591C2×C4×D4C2312yes—
592C2×C4×D4C2312yes—
593C2×#117C2311yescharacteristic
594C2×#117C2311yescharacteristic
595C2×#117C2311yescharacteristic
596C2×#117C2311yescharacteristic
597C2×#117C2311yescharacteristic
598C2×#117C2312yes—
599C2×#117C2311yescharacteristic
600C2×#117C2311yescharacteristic
601C2×#117C2311yescharacteristic
602C2×#117C2312yes—
603C2×#117C2312yes—
604C2×#117C2312yes—
605C2×#117C2312yes—
606C22×C4⋊C4C2311yescharacteristic
607C22×C4⋊C4C2311yescharacteristic
608C22×C4⋊C4C2311yescharacteristic
609C22×C4⋊C4C2311yescharacteristic
610C22×C4⋊C4C2311yescharacteristic
611C22×C42C2312yes—
612C22×C42C2312yes—
613C22×C42C2312yes—
614C22×C42C2311yescharacteristic
615C22×C42C2311yescharacteristic
616C22×C42C2312yes—
617C22×C42C2311yescharacteristic
618#401C2311yescharacteristic
619#400C2312yes—
620#400C2312yes—
621#400C2312yes—
622#400C2312yes—
623#400C2311yescharacteristic
624#400C2311yescharacteristic
625#400C2312yes—
626#400C2311yescharacteristic
627#400C2312yes—
628#400C2312yes—
629#400C2312yes—
630#400C2312yes—
631#400C2312yes—
632#399C2312yes—
633#399C2312yes—
634#399C2312yes—
635#399C2312yes—
636#399C2312yes—
637#399C2312yes—
638#398C2311yescharacteristic
639#398C2311yescharacteristic
640#398C2312yes—
641#398C2312yes—
642#398C2312yes—
643#398C2312yes—
644#398C2312yes—
645#398C2311yescharacteristic
646#398C2312yes—
647#398C2312yes—
648#398C2312yes—
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650#398C2312yes—
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695#396C2312yes—
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701#394C2312yes—
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721#394C2312yes—
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731#394C2312yes—
732#394C2312yes—
733#394C2312yes—
734#394C2312yes—
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738#394C2312yes—
739#394C2312yes—
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741#394C2312yes—
742#394C2312yes—
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747#393C2312yes—
748#393C2312yes—
749#393C2312yes—
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755#392C2312yes—
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764#392C2312yes—
765#392C2312yes—
766#392C2312yes—
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769#392C2312yes—
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780#391C2312yes—
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784#390C2312yes—
785#390C2312yes—
786#390C2312yes—
787#390C2312yes—
788#390C2312yes—
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801#390C2312yes—
802#390C2312yes—
803#390C2312yes—
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805#390C2312yes—
806#390C2312yes—
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817#390C2312yes—
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823#390C2312yes—
824#390C2312yes—
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828#390C2312yes—
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834#390C2312yes—
835#390C2312yes—
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838#390C2312yes—
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848#389C2312yes—
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864#389C2312yes—
865#389C2312yes—
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904#388C2312yes—
905#388C2312yes—
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907#388C2312yes—
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911#388C2312yes—
912#388C2312yes—
913#388C2312yes—
914#388C2312yes—
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916#388C2312yes—
917#388C2312yes—
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922#388C2312yes—
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928#388C2312yes—
929#388C2312yes—
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931#388C2312yes—
932#388C2312yes—
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935#388C2312yes—
936#388C2312yes—
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941#388C2312yes—
942#388C2312yes—
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948#388C2312yes—
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981#388C2312yes—
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1010#387C2312yes—
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1017#387C2312yes—
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1019#387C2312yes—
1020#387C2312yes—
1021#387C2312yes—
1022#387C2312yes—
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1029#387C2312yes—
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1036#387C2312yes—
1037#387C2312yes—
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1070#386C2312yes—
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1081#386C2312yes—
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1115#385C2312yes—
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1120#385C2312yes—
1121#385C2312yes—
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1123#385C2312yes—
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1135#383C2312yes—
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1184C4×C4⋊C4C2312yes—
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1211C4×C4⋊C4C2312yes—
1212C4×C4⋊C4C2312yes—
1213C4×C4⋊C4C2312yes—
1214C4×C4⋊C4C2312yes—
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1227C4×C4⋊C4C2312yes—
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1241C4×C22⋊C4C2312yes—
1242C4×C22⋊C4C2312yes—
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1253C4×C22⋊C4C2312yes—
1254C4×C22⋊C4C2312yes—
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1256C4×C22⋊C4C2312yes—
1257C4×C22⋊C4C2312yes—
1258C4×C22⋊C4C2312yes—
1259C4×C22⋊C4C2312yes—
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1267C4×C22⋊C4C2312yes—
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1297C2×#95C2312yes—
1298C2×#95C2312yes—
1299C2×#95C2312yes—
1300C43C2312yes—
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1304C2×#41—44no—
1305C2×#41—44no—
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1307C22×Q8C2412yes—
1308C22×Q8C2412yes—
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1312C22×D4C2411yescharacteristic
1313C22×D4C2412yes—
1314C22×D4C2411yescharacteristic
1315C22×D4C2412yes—
1316C22×D4C2412yes—
1317C22×D4C2412yes—
1318C22×D4C2412yes—
1319C22×D4C2412yes—
1320C22×D4C2411yescharacteristic
1321C22×D4C2411yescharacteristic
1322C22×D4C2412yes—
1323C22×D4C2412yes—
1324C22×D4C2412yes—
1325C22×D4C2412yes—
1326C22×D4C2412yes—
1327C22×D4C2412yes—
1328C22×D4C2412yes—
1329C22×D4C2411yescharacteristic
1330C22×D4C2411yescharacteristic
1331C22×D4C2412yes—
1332C22×D4C2412yes—
1333C22×D4C2412yes—
1334C22×D4C2412yes—
1335C22×D4C2412yes—
1336C23×C4C2411yescharacteristic
1337C23×C4C2411yescharacteristic
1338C23×C4C2411yescharacteristic
1339C23×C4C2412yes—
1340C23×C4C2412yes—
1341C23×C4C2411yescharacteristic
1342C23×C4C2411yescharacteristic
1343C23×C4C2411yescharacteristic
1344C23×C4C2412yes—
1345C23×C4C2412yes—
1346C23×C4C2412yes—
1347C23×C4C2412yes—
1348C23×C4C2412yes—
1349C23×C4C2411yescharacteristic
1350C23×C4C2412yes—
1351C23×C4C2412yes—
1352C23×C4C2412yes—
1353C23×C4C2412yes—
1354C23×C4C2411yescharacteristic
1355C23×C4C2412yes—
1356C23×C4C2412yes—
1357C23×C4C2411yescharacteristic
1358C23×C4C2411yescharacteristic
1359C23×C4C2412yes—
1360C4⋊Q8—28no—
1361C4⋊Q8—24no—
1362C4⋊Q8—24no—
1363C4⋊Q8—24no—
1364#127—24no—
1365#127—42no—
1366#127—42no—
1367#127—44no—
1368#127—44no—
1369#127—44no—
1370#126—28no—
1371#126—28no—
1372#126—28no—
1373#126—42no—
1374#126—44no—
1375#126—44no—
1376#126—82no—
1377#126—82no—
1378#126—82no—
1379#125—28no—
1380#125—24no—
1381#125—24no—
1382#125—24no—
1383#125—24no—
1384#125#4118yescomplemented
1385#124—44no—
1386#124—44no—
1387#124—44no—
1388#124—44no—
1389#124—44no—
1390#124—82no—
1391#123—28no—
1392#123—28no—
1393#123—28no—
1394#123—28no—
1395#123—28no—
1396#123—28no—
1397#123—28no—
1398#123—28no—
1399#123—24no—
1400#123—44no—
1401#123—44no—
1402#123—42no—
1403#123—44no—
1404#123—44no—
1405#123—82no—
1406#123—82no—
1407C22⋊Q8—28no—
1408C22⋊Q8—28no—
1409C22⋊Q8—28no—
1410C22⋊Q8—44no—
1411C22⋊Q8—82no—
1412C22⋊Q8—82no—
1413C22⋊Q8—82no—
1414#121—24no—
1415#121—28no—
1416#121—28no—
1417#121—24no—
1418#121—24no—
1419#121—28no—
1420#121—28no—
1421#121—24no—
1422#121—24no—
1423#121—24no—
1424#121—28no—
1425#121—24no—
1426#121—24no—
1427#121—24no—
1428#121—24no—
1429#121—44no—
1430#121—42no—
1431#121—44no—
1432#121—44no—
1433#121—42no—
1434#121—42no—
1435#121—82no—
1436#121—82no—
1437#121—82no—
1438#121—82no—
1439#121—82no—
1440#121—82no—
1441C4×Q8—28no—
1442C4×Q8—44no—
1443C4×Q8—44no—
1444C4×Q8—44no—
1445C4×D4—24no—
1446C4×D4—28no—
1447C4×D4—28no—
1448C4×D4—24no—
1449C4×D4—24no—
1450C4×D4—24no—
1451C4×D4—24no—
1452C4×D4—24no—
1453C4×D4—28no—
1454C4×D4—24no—
1455C4×D4—24no—
1456C4×D4—24no—
1457C4×D4—24no—
1458C4×D4—24no—
1459C4×D4—44no—
1460C4×D4—44no—
1461C4×D4—44no—
1462C4×D4—42no—
1463C4×D4—42no—
1464C4×D4—42no—
1465C4×D4—44no—
1466C4×D4—44no—
1467C4×D4—42no—
1468C4×D4—42no—
1469C4×D4—44no—
1470C4×D4—44no—
1471C4×D4—44no—
1472C4×D4—44no—
1473C4×D4—42no—
1474C4×D4—44no—
1475C4×D4—44no—
1476C4×D4—44no—
1477C4×D4—44no—
1478C4×D4—44no—
1479C4×D4—44no—
1480C4×D4—44no—
1481C4×D4—42no—
1482C4×D4—44no—
1483C4×D4—42no—
1484#117—24no—
1485#117—24no—
1486#117—24no—
1487#117—24no—
1488#117—28no—
1489#117—24no—
1490#117—24no—
1491#117—42no—
1492#117—44no—
1493#117—44no—
1494#117—44no—
1495#117—44no—
1496#117—42no—
1497C2×C4⋊C4—24no—
1498C2×C4⋊C4—24no—
1499C2×C4⋊C4—24no—
1500C2×C4⋊C4—42no—
1501C2×C4⋊C4#4118yes—
1502C2×C4⋊C4C2411yescharacteristic
1503C2×C4⋊C4C2411yescharacteristic
1504C2×C4⋊C4C2411yescharacteristic
1505C2×C4⋊C4C2411yescharacteristic
1506C2×C4⋊C4C2412yes—
1507C2×C4⋊C4C2412yes—
1508C2×C4⋊C4C2411yescharacteristic
1509C2×C4⋊C4C2412yes—
1510C2×C4⋊C4C2411yescharacteristic
1511C2×C4⋊C4C2412yes—
1512C2×C4⋊C4C2412yes—
1513C2×C4⋊C4C2412yes—
1514C2×C4⋊C4C2412yes—
1515C2×C4⋊C4C2411yescharacteristic
1516C2×C4⋊C4C2411yescharacteristic
1517C2×C4⋊C4C2411yescharacteristic
1518C2×C4⋊C4C2411yescharacteristic
1519C2×C4⋊C4C2411yescharacteristic
1520C2×C4⋊C4C2411yescharacteristic
1521C2×C4⋊C4C2411yescharacteristic
1522C2×C4⋊C4C2411yescharacteristic
1523C2×C4⋊C4C2411yescharacteristic
1524C2×C4⋊C4C2411yescharacteristic
1525C2×C4⋊C4C2411yescharacteristic
1526C2×C4⋊C4C2411yescharacteristic
1527C2×C4⋊C4C2411yescharacteristic
1528C2×C4⋊C4C2412yes—
1529C2×C4⋊C4C2412yes—
1530C2×C4⋊C4C2411yescharacteristic
1531C2×C4⋊C4C2411yescharacteristic
1532C2×C4⋊C4C2411yescharacteristic
1533C2×C4⋊C4C2411yescharacteristic
1534C2×C4⋊C4C2411yescharacteristic
1535C2×C4⋊C4C2412yes—
1536C2×C4⋊C4C2412yes—
1537C2×C4⋊C4C2412yes—
1538C2×C4⋊C4C2412yes—
1539C2×C4⋊C4C2412yes—
1540C2×C4⋊C4C2412yes—
1541C2×C4⋊C4C2412yes—
1542C2×C4⋊C4C2411yescharacteristic
1543C2×C4⋊C4C2412yes—
1544C2×C4⋊C4C2412yes—
1545C2×C4⋊C4C2412yes—
1546C2×C4⋊C4C2412yes—
1547C2×C4⋊C4C2412yes—
1548C2×C4⋊C4C2411yescharacteristic
1549C2×C4⋊C4C2411yescharacteristic
1550C2×C4⋊C4C2412yes—
1551C2×C4⋊C4C2412yes—
1552C2×C4⋊C4C2411yescharacteristic
1553C2×C4⋊C4C2412yes—
1554C2×C4⋊C4C2411yescharacteristic
1555C2×C4⋊C4C2411yescharacteristic
1556C2×C4⋊C4C2412yes—
1557C2×C4⋊C4C2411yescharacteristic
1558C2×C4⋊C4C2412yes—
1559C2×C4⋊C4C2412yes—
1560C2×C4⋊C4C2411yescharacteristic
1561C2×C4⋊C4C2412yes—
1562C2×C4⋊C4C2412yes—
1563C2×C4⋊C4C2412yes—
1564C2×C4⋊C4C2412yes—
1565C2×C4⋊C4C2412yes—
1566C2×C4⋊C4C2411yescharacteristic
1567C2×C4⋊C4C2411yescharacteristic
1568C2×C4⋊C4C2412yes—
1569C2×C4⋊C4C2411yescharacteristic
1570C2×C4⋊C4C2412yes—
1571C2×C4⋊C4C2412yes—
1572C2×C4⋊C4C2412yes—
1573C2×C4⋊C4C2412yes—
1574C2×C4⋊C4C2412yes—
1575C2×C4⋊C4C2412yes—
1576C2×C4⋊C4C2411yescharacteristic
1577C2×C4⋊C4C2412yes—
1578C2×C4⋊C4C2411yescharacteristic
1579C2×C4⋊C4C2411yescharacteristic
1580C2×C4⋊C4C2412yes—
1581C2×C4⋊C4C2411yescharacteristic
1582C2×C4⋊C4C2411yescharacteristic
1583C2×C4⋊C4C2411yescharacteristic
1584C2×C4⋊C4C2411yescharacteristic
1585C2×C4⋊C4C2411yescharacteristic
1586C2×C4⋊C4C2412yes—
1587C2×C4⋊C4C2411yescharacteristic
1588C2×C4⋊C4C2412yes—
1589C2×C4⋊C4C2412yes—
1590C2×C4⋊C4C2411yescharacteristic
1591C2×C22⋊C4C2411yescharacteristic
1592C2×C22⋊C4C2411yescharacteristic
1593C2×C22⋊C4C2412yes—
1594C2×C22⋊C4C2412yes—
1595C2×C22⋊C4C2412yes—
1596C2×C22⋊C4C2412yes—
1597C2×C22⋊C4C2411yescharacteristic
1598C2×C22⋊C4C2411yescharacteristic
1599C2×C22⋊C4C2412yes—
1600C2×C22⋊C4C2412yes—
1601C2×C22⋊C4C2412yes—
1602C2×C22⋊C4C2411yescharacteristic
1603C2×C22⋊C4C2412yes—
1604C2×C22⋊C4C2411yescharacteristic
1605C2×C22⋊C4C2411yescharacteristic
1606C2×C22⋊C4C2411yescharacteristic
1607C2×C22⋊C4C2411yescharacteristic
1608C2×C22⋊C4C2411yescharacteristic
1609C2×C22⋊C4C2411yescharacteristic
1610C2×C22⋊C4C2411yescharacteristic
1611C2×C22⋊C4C2411yescharacteristic
1612C2×C22⋊C4C2412yes—
1613C2×C22⋊C4C2411yescharacteristic
1614C2×C22⋊C4C2411yescharacteristic
1615C2×C22⋊C4C2412yes—
1616C2×C22⋊C4C2412yes—
1617C2×C22⋊C4C2412yes—
1618C2×C22⋊C4C2412yes—
1619C2×C22⋊C4C2412yes—
1620C2×C22⋊C4C2411yescharacteristic
1621C2×C22⋊C4C2412yes—
1622C2×C22⋊C4C2412yes—
1623C2×C22⋊C4C2412yes—
1624C2×C22⋊C4C2412yes—
1625C2×C22⋊C4C2412yes—
1626C2×C22⋊C4C2411yescharacteristic
1627C2×C22⋊C4C2411yescharacteristic
1628C2×C22⋊C4C2412yes—
1629C2×C22⋊C4C2411yescharacteristic
1630C2×C22⋊C4C2411yescharacteristic
1631C2×C22⋊C4C2411yescharacteristic
1632C2×C22⋊C4C2412yes—
1633C2×C22⋊C4C2412yes—
1634C2×C22⋊C4C2412yes—
1635C2×C22⋊C4C2412yes—
1636C2×C22⋊C4C2412yes—
1637C2×C22⋊C4C2412yes—
1638C2×C22⋊C4C2412yes—
1639C2×C22⋊C4C2411yescharacteristic
1640C2×C22⋊C4C2412yes—
1641C2×C22⋊C4C2412yes—
1642C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1654C2×C22⋊C4C2412yes—
1655C2×C22⋊C4C2411yescharacteristic
1656C2×C22⋊C4C2412yes—
1657C2×C22⋊C4C2411yescharacteristic
1658C2×C22⋊C4C2411yescharacteristic
1659C2×C22⋊C4C2412yes—
1660C2×C22⋊C4C2411yescharacteristic
1661C2×C22⋊C4C2412yes—
1662C2×C22⋊C4C2412yes—
1663C2×C22⋊C4C2412yes—
1664C2×C22⋊C4C2412yes—
1665C2×C22⋊C4C2412yes—
1666C2×C22⋊C4C2411yescharacteristic
1667C2×C22⋊C4C2411yescharacteristic
1668C2×C22⋊C4C2411yescharacteristic
1669C2×C22⋊C4C2412yes—
1670C2×C22⋊C4C2412yes—
1671C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1686C2×C22⋊C4C2412yes—
1687C2×C22⋊C4C2412yes—
1688C2×C22⋊C4C2412yes—
1689C2×C22⋊C4C2412yes—
1690C2×C22⋊C4C2412yes—
1691C2×C22⋊C4C2412yes—
1692C2×C22⋊C4C2412yes—
1693C2×C22⋊C4C2412yes—
1694C2×C22⋊C4C2412yes—
1695C2×C22⋊C4C2412yes—
1696C2×C22⋊C4C2411yescharacteristic
1697C2×C22⋊C4C2411yescharacteristic
1698C2×C22⋊C4C2411yescharacteristic
1699C2×C22⋊C4C2411yescharacteristic
1700C2×C22⋊C4C2411yescharacteristic
1701C2×C42—44no—
1702C2×C42—44no—
1703C2×C42—44no—
1704C2×C42—44no—
1705C2×C42—42no—
1706C2×C42—42no—
1707C2×C42—42no—
1708C2×C42C2412yes—
1709C2×C42C2412yes—
1710C2×C42C2411yescharacteristic
1711C2×C42C2411yescharacteristic
1712C2×C42C2412yes—
1713C2×C42C2412yes—
1714C2×C42C2412yes—
1715C2×C42C2411yescharacteristic
1716C2×C42C2411yescharacteristic
1717C2×C42C2411yescharacteristic
1718C2×C42C2412yes—
1719C2×C42C2412yes—
1720C2×C42C2412yes—
1721C2×C42C2411yescharacteristic
1722C2×C42C2411yescharacteristic
1723C2×C42C2411yescharacteristic
1724C2×C42C2412yes—
1725C2×C42C2411yescharacteristic
1726C2×C42C2411yescharacteristic
1727C2×C42C2411yescharacteristic
1728C2×C42C2411yescharacteristic
1729C2×C42C2411yescharacteristic
1730C2×C42C2412yes—
1731C2×C42C2412yes—
1732C2×C42C2412yes—
1733C2×C42C2412yes—
1734C2×C42C2412yes—
1735C2×C42C2412yes—
1736C2×C42C2412yes—
1737C2×C42C2412yes—
1738C2×C42C2412yes—
1739C2×C42C2412yes—
1740C2×C42C2411yescharacteristic
1741C2×C42C2412yes—
1742C2×C42C2411yescharacteristic
1743C2×C42C2411yescharacteristic
1744C2×C42C2412yes—
1745C2×C42C2412yes—
1746C2×C42C2412yes—
1747C2×C42C2411yescharacteristic
1748C2×C42C2411yescharacteristic
1749C2×C42C2412yes—
1750C2×C42C2412yes—
1751C2×C42C2412yes—
1752C2×C42C2412yes—
1753C2×C42C2411yescharacteristic
1754C2×C42C2411yescharacteristic
1755C2×C42C2411yescharacteristic
1756C2×C42C2411yescharacteristic
1757C2×C42C2411yescharacteristic
1758C2×C42C2412yes—
1759C2×C42C2411yescharacteristic
1760C2×C42C2411yescharacteristic
1761#95C2411yescharacteristic
1762#95C2412yes—
1763#95C2412yes—
1764#95C2412yes—
1765#95C2412yes—
1766#95C2412yes—
1767#95C2412yes—
1768#95C2412yes—
1769#95C2412yes—
1770#95C2412yes—
1771#95C2412yes—
1772#95C2411yescharacteristic
1773#95C2411yescharacteristic
1774#95C2411yescharacteristic
1775#95C2411yescharacteristic
1776#95C2412yes—
1777#95C2412yes—
1778#95C2412yes—
1779#95C2412yes—
1780#95C2412yes—
1781#95C2411yescharacteristic
1782#95C2411yescharacteristic
1783#95C2411yescharacteristic
1784#95C2412yes—
1785#95C2411yescharacteristic
1786#95C2411yescharacteristic
1787#95C2411yescharacteristic
1788#95C2411yescharacteristic
1789#95C2412yes—
1790#95C2412yes—
1791#95C2412yes—
1792#95C2412yes—
1793#95C2412yes—
1794#95C2411yescharacteristic
1795#95C2411yescharacteristic
1796#95C2411yescharacteristic
1797#95C2412yes—
1798#95C2412yes—
1799#95C2411yescharacteristic
1800#95C2412yes—
1801#95C2412yes—
1802#95C2411yescharacteristic
1803#95C2411yescharacteristic
1804#95C2411yescharacteristic
1805#95C2412yes—
1806#95C2411yescharacteristic
1807#95C2411yescharacteristic
1808#95C2412yes—
1809#95C2411yescharacteristic
1810#95C2412yes—
1811#95C2412yes—
1812#95C2412yes—
1813#95C2412yes—
1814#95C2412yes—
1815#95C2412yes—
1816#95C2412yes—
1817#95C2412yes—
1818#95C2411yescharacteristic
1819#95C2412yes—
1820#95C2412yes—
1821#95C2412yes—
1822#95C2412yes—
1823#95C2412yes—
1824#95C2412yes—
1825#95C2411yescharacteristic
1826#95C2411yescharacteristic
1827#95C2412yes—
1828#95C2411yescharacteristic
1829#95C2412yes—
1830#95C2412yes—
1831#95C2412yes—
1832#95C2411yescharacteristic
1833#95C2411yescharacteristic
1834#95C2411yescharacteristic
1835#95C2411yescharacteristic
1836#95C2412yes—
1837#95C2411yescharacteristic
1838#95C2411yescharacteristic
1839#95C2412yes—
1840#95C2411yescharacteristic
1841#95C2411yescharacteristic
1842#95C2411yescharacteristic
1843#95C2412yes—
1844#95C2412yes—
1845#95C2412yes—
1846#95C2412yes—
1847#95C2412yes—
1848#95C2412yes—
1849#95C2411yescharacteristic
1850#95C2412yes—
1851#95C2411yescharacteristic
1852#95C2411yescharacteristic
1853#95C2411yescharacteristic
1854#95C2412yes—
1855#95C2411yescharacteristic
1856#95C2412yes—
1857#95C2411yescharacteristic
1858#95C2412yes—
1859#95C2412yes—
1860#95C2411yescharacteristic
1861#95C2411yescharacteristic
1862#95C2411yescharacteristic
1863#95C2412yes—
1864#95C2412yes—
1865#95C2412yes—
1866C24C2511yescharacteristic
1867C24C2512yes—
1868C24C2512yes—
1869C24C2512yes—
1870C24C2511yescharacteristic
1871C24C2511yescharacteristic
1872C24C2511yescharacteristic
1873#41—432no—
1874C2×Q8—24no—
1875C2×Q8—24no—
1876C2×Q8—24no—
1877C2×Q8—24no—
1878C2×Q8—42no—
1879C2×Q8—42no—
1880C2×Q8—42no—
1881C2×Q8—42no—
1882C2×Q8—42no—
1883C2×D4—22no—
1884C2×D4—22no—
1885C2×D4—24no—
1886C2×D4—24no—
1887C2×D4—22no—
1888C2×D4—24no—
1889C2×D4—24no—
1890C2×D4—24no—
1891C2×D4—22no—
1892C2×D4—22no—
1893C2×D4—24no—
1894C2×D4—22no—
1895C2×D4—24no—
1896C2×D4—22no—
1897C2×D4—22no—
1898C2×D4—22no—
1899C2×D4—22no—
1900C2×D4—22no—
1901C2×D4—22no—
1902C2×D4—22no—
1903C2×D4—24no—
1904C2×D4—24no—
1905C2×D4—24no—
1906C2×D4—24no—
1907C2×D4—24no—
1908C2×D4—24no—
1909C2×D4—24no—
1910C2×D4—24no—
1911C2×D4—22no—
1912C2×D4—24no—
1913C2×D4—22no—
1914C2×D4—22no—
1915C2×D4—22no—
1916C2×D4—22no—
1917C2×D4—42no—
1918C2×D4—42no—
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—41no—
1929C2×D4—42no—
1930C2×D4—42no—
1931C2×D4—41no—
1932C2×D4—41no—
1933C2×D4—42no—
1934C2×D4—41no—
1935C2×D4—42no—
1936C2×D4—42no—
1937C2×D4—41no—
1938C2×D4—42no—
1939C2×D4—42no—
1940C2×D4—42no—
1941C2×D4—41no—
1942C2×D4—42no—
1943C2×D4—42no—
1944C2×D4—41no—
1945C2×D4—41no—
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—
1964C22×C4—22no—
1965C22×C4—22no—
1966C22×C4—24no—
1967C22×C4—22no—
1968C22×C4—22no—
1969C22×C4—22no—
1970C22×C4—24no—
1971C22×C4—22no—
1972C22×C4—22no—
1973C22×C4—22no—
1974C22×C4—22no—
1975C22×C4—24no—
1976C22×C4—22no—
1977C22×C4—22no—
1978C22×C4—24no—
1979C22×C4—22no—
1980C22×C4—22no—
1981C22×C4—22no—
1982C22×C4—22no—
1983C22×C4—22no—
1984C22×C4—24no—
1985C22×C4—24no—
1986C22×C4—24no—
1987C22×C4—24no—
1988C22×C4—24no—
1989C22×C4—24no—
1990C22×C4—24no—
1991C22×C4—24no—
1992C22×C4—22no—
1993C22×C4—24no—
1994C22×C4—42no—
1995C22×C4—42no—
1996C22×C4—41no—
1997C22×C4—41no—
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—41no—
2007C22×C4—41no—
2008C22×C4—41no—
2009C22×C4—41no—
2010C22×C4—42no—
2011C22×C4—42no—
2012C22×C4—42no—
2013C22×C4—42no—
2014C22×C4—42no—
2015C22×C4—41no—
2016C22×C4—42no—
2017C22×C4—42no—
2018C22×C4—41no—
2019C22×C4—41no—
2020C22×C4—42no—
2021C22×C4—42no—
2022C22×C4—41no—
2023C22×C4—42no—
2024C22×C4—42no—
2025C22×C4—42no—
2026C22×C4—41no—
2027C22×C4—41no—
2028C22×C4—42no—
2029C22×C4—42no—
2030C22×C4—42no—
2031C22×C4—42no—
2032C22×C4—42no—
2033C22×C4—42no—
2034C22×C4C2×#4114yes—
2035C22×C4C2×#4118yes—
2036C22×C4C2511yescharacteristic
2037C22×C4C2511yescharacteristic
2038C22×C4C2511yescharacteristic
2039C22×C4C2511yescharacteristic
2040C22×C4C2511yescharacteristic
2041C22×C4C2511yescharacteristic
2042C22×C4C2512yes—
2043C22×C4C2511yescharacteristic
2044C22×C4C2512yes—
2045C22×C4C2511yescharacteristic
2046C22×C4C2511yescharacteristic
2047C22×C4C2512yes—
2048C22×C4C2511yescharacteristic
2049C22×C4C2511yescharacteristic
2050C22×C4C2512yes—
2051C22×C4C2511yescharacteristic
2052C22×C4C2511yescharacteristic
2053C22×C4C2512yes—
2054C22×C4C2512yes—
2055C22×C4C2511yescharacteristic
2056C22×C4C2511yescharacteristic
2057C22×C4C2511yescharacteristic
2058C22×C4C2511yescharacteristic
2059C22×C4C2512yes—
2060C22×C4C2511yescharacteristic
2061C22×C4C2511yescharacteristic
2062C22×C4C2512yes—
2063C22×C4C2512yes—
2064C22×C4C2512yes—
2065C22×C4C2511yescharacteristic
2066C22×C4C2512yes—
2067C22×C4C2512yes—
2068C22×C4C2511yescharacteristic
2069C22×C4C2512yes—
2070C22×C4C2511yescharacteristic
2071C22×C4C2511yescharacteristic
2072C22×C4C2511yescharacteristic
2073C22×C4C2511yescharacteristic
2074C22×C4C2511yescharacteristic
2075C22×C4C2511yescharacteristic
2076C4⋊C4—22no—
2077C4⋊C4—22no—
2078C4⋊C4—24no—
2079C4⋊C4—24no—
2080C4⋊C4—24no—
2081C4⋊C4—22no—
2082C4⋊C4—22no—
2083C4⋊C4—22no—
2084C4⋊C4—22no—
2085C4⋊C4—22no—
2086C4⋊C4—22no—
2087C4⋊C4—22no—
2088C4⋊C4—22no—
2089C4⋊C4—22no—
2090C4⋊C4—24no—
2091C4⋊C4—24no—
2092C4⋊C4—22no—
2093C4⋊C4—22no—
2094C4⋊C4—22no—
2095C4⋊C4—24no—
2096C4⋊C4—24no—
2097C4⋊C4—24no—
2098C4⋊C4—24no—
2099C4⋊C4—24no—
2100C4⋊C4—24no—
2101C4⋊C4—24no—
2102C4⋊C4—24no—
2103C4⋊C4—22no—
2104C4⋊C4—24no—
2105C4⋊C4—24no—
2106C4⋊C4—22no—
2107C4⋊C4—22no—
2108C4⋊C4—22no—
2109C4⋊C4—22no—
2110C4⋊C4—22no—
2111C4⋊C4—24no—
2112C4⋊C4—22no—
2113C4⋊C4—22no—
2114C4⋊C4—24no—
2115C4⋊C4—22no—
2116C4⋊C4—22no—
2117C4⋊C4—22no—
2118C4⋊C4—42no—
2119C4⋊C4—41no—
2120C4⋊C4—41no—
2121C4⋊C4—42no—
2122C4⋊C4—42no—
2123C4⋊C4—42no—
2124C4⋊C4—42no—
2125C4⋊C4—41no—
2126C4⋊C4—41no—
2127C4⋊C4—42no—
2128C4⋊C4—41no—
2129C4⋊C4—41no—
2130C4⋊C4—42no—
2131C4⋊C4—42no—
2132C4⋊C4—42no—
2133C4⋊C4—42no—
2134C4⋊C4—41no—
2135C4⋊C4—42no—
2136C4⋊C4—41no—
2137C4⋊C4—42no—
2138C4⋊C4—42no—
2139C4⋊C4—42no—
2140C4⋊C4—42no—
2141C4⋊C4—41no—
2142C4⋊C4—41no—
2143C4⋊C4—42no—
2144C4⋊C4—42no—
2145C4⋊C4—42no—
2146C4⋊C4—42no—
2147C4⋊C4—41no—
2148C4⋊C4—42no—
2149C4⋊C4—41no—
2150C4⋊C4—42no—
2151C4⋊C4—42no—
2152C4⋊C4—42no—
2153C4⋊C4—41no—
2154C4⋊C4—41no—
2155C4⋊C4—41no—
2156C4⋊C4—42no—
2157C4⋊C4C2×#4114yes—
2158C4⋊C4C2×#4114yes—
2159C4⋊C4C2×#4114yes—
2160C4⋊C4C2×#4118yes—
2161C4⋊C4C2×#4114yes—
2162C4⋊C4C2×#4118yes—
2163C4⋊C4C2×#4118yes—
2164C4⋊C4H(5,𝔽2)14yes—
2165C22⋊C4—22no—
2166C22⋊C4—22no—
2167C22⋊C4—22no—
2168C22⋊C4—22no—
2169C22⋊C4—22no—
2170C22⋊C4—22no—
2171C22⋊C4—22no—
2172C22⋊C4—22no—
2173C22⋊C4—24no—
2174C22⋊C4—24no—
2175C22⋊C4—24no—
2176C22⋊C4—22no—
2177C22⋊C4—24no—
2178C22⋊C4—22no—
2179C22⋊C4—22no—
2180C22⋊C4—24no—
2181C22⋊C4—24no—
2182C22⋊C4—24no—
2183C22⋊C4—24no—
2184C22⋊C4—24no—
2185C22⋊C4—24no—
2186C22⋊C4—24no—
2187C22⋊C4—24no—
2188C22⋊C4—24no—
2189C22⋊C4—22no—
2190C22⋊C4—22no—
2191C22⋊C4—22no—
2192C22⋊C4—22no—
2193C22⋊C4—24no—
2194C22⋊C4—24no—
2195C22⋊C4—24no—
2196C22⋊C4—24no—
2197C22⋊C4—24no—
2198C22⋊C4—24no—
2199C22⋊C4—24no—
2200C22⋊C4—24no—
2201C22⋊C4—24no—
2202C22⋊C4—22no—
2203C22⋊C4—22no—
2204C22⋊C4—24no—
2205C22⋊C4—22no—
2206C22⋊C4—22no—
2207C22⋊C4—24no—
2208C22⋊C4—24no—
2209C22⋊C4—22no—
2210C22⋊C4—24no—
2211C22⋊C4—22no—
2212C22⋊C4—24no—
2213C22⋊C4—22no—
2214C22⋊C4—41no—
2215C22⋊C4—41no—
2216C22⋊C4—42no—
2217C22⋊C4—42no—
2218C22⋊C4—42no—
2219C22⋊C4—42no—
2220C22⋊C4—42no—
2221C22⋊C4—42no—
2222C22⋊C4—42no—
2223C22⋊C4—42no—
2224C22⋊C4—41no—
2225C22⋊C4—41no—
2226C22⋊C4—41no—
2227C22⋊C4—41no—
2228C22⋊C4—42no—
2229C22⋊C4—42no—
2230C22⋊C4—42no—
2231C22⋊C4—42no—
2232C22⋊C4—41no—
2233C22⋊C4—42no—
2234C22⋊C4—41no—
2235C22⋊C4—41no—
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—42no—
2248C22⋊C4—41no—
2249C22⋊C4—42no—
2250C22⋊C4—42no—
2251C22⋊C4—42no—
2252C22⋊C4—42no—
2253C22⋊C4—42no—
2254C22⋊C4—42no—
2255C22⋊C4—42no—
2256C22⋊C4—42no—
2257C22⋊C4—42no—
2258C22⋊C4—41no—
2259C22⋊C4—42no—
2260C22⋊C4—42no—
2261C22⋊C4—42no—
2262C22⋊C4—42no—
2263C22⋊C4—41no—
2264C22⋊C4—42no—
2265C22⋊C4—42no—
2266C22⋊C4—41no—
2267C22⋊C4—42no—
2268C22⋊C4—42no—
2269C22⋊C4—42no—
2270C22⋊C4—42no—
2271C22⋊C4—42no—
2272C22⋊C4—41no—
2273C22⋊C4—41no—
2274C22⋊C4—41no—
2275C42—22no—
2276C42—24no—
2277C42—24no—
2278C42—24no—
2279C42—24no—
2280C42—22no—
2281C42—22no—
2282C42—22no—
2283C42—22no—
2284C42—24no—
2285C42—22no—
2286C42—22no—
2287C42—24no—
2288C42—24no—
2289C42—24no—
2290C42—24no—
2291C42—22no—
2292C42—22no—
2293C42—22no—
2294C42—22no—
2295C42—22no—
2296C42—22no—
2297C42—42no—
2298C42—41no—
2299C42—41no—
2300C42—41no—
2301C42—41no—
2302C42—41no—
2303C42—41no—
2304C42—42no—
2305C42—42no—
2306C42—42no—
2307C42—42no—
2308C42—42no—
2309C42—42no—
2310C42—42no—
2311C42—42no—
2312C42—41no—
2313C42—42no—
2314C42—41no—
2315C42—42no—
2316C42—42no—
2317C42—42no—
2318C42—42no—
2319C42—41no—
2320C42—42no—
2321C42—42no—
2322C42—41no—
2323C42—42no—
2324C42—41no—
2325C42—42no—
2326C42—42no—
2327C42C2×#4114yes—
2328C23—21no—
2329C23—21no—
2330C23—21no—
2331C23—21no—
2332C23—21no—
2333C23—21no—
2334C23—21no—
2335C23—21no—
2336C23—21no—
2337C23—21no—
2338C23—21no—
2339C23—21no—
2340C23—22no—
2341C23—21no—
2342C23—22no—
2343C23—22no—
2344C23—21no—
2345C23—21no—
2346C23—22no—
2347C23—22no—
2348C23—22no—
2349C23—21no—
2350C23—22no—
2351C23—22no—
2352C23—21no—
2353C23—21no—
2354C23—22no—
2355C23—21no—
2356C23—22no—
2357C23—22no—
2358C23—21no—
2359C23—22no—
2360C23—21no—
2361C23—22no—
2362C23—22no—
2363C23—22no—
2364C23—21no—
2365C23—21no—
2366C23—22no—
2367C23—22no—
2368C23—21no—
2369C23—22no—
2370C23—22no—
2371C23—21no—
2372C23—22no—
2373C23—22no—
2374C23—21no—
2375C23C22×#4112yes—
2376C23#58512yes—
2377C23C2611yescharacteristic
2378Q8—48no—
2379Q8—84no—
2380Q8—84no—
2381D4—28no—
2382D4—48no—
2383D4—44no—
2384D4—48no—
2385D4—48no—
2386D4—44no—
2387D4—44no—
2388D4—44no—
2389D4—84no—
2390D4—84no—
2391D4—84no—
2392D4—84no—
2393D4—82no—
2394D4—84no—
2395D4—84no—
2396D4—84no—
2397D4—84no—
2398D4—82no—
2399D4—84no—
2400D4—84no—
2401D4—82no—
2402D4—84no—
2403D4—82no—
2404D4—84no—
2405D4—162no—
2406D4—162no—
2407D4—162no—
2408C2×C4—21no—
2409C2×C4—21no—
2410C2×C4—22no—
2411C2×C4—22no—
2412C2×C4—21no—
2413C2×C4—22no—
2414C2×C4—21no—
2415C2×C4—21no—
2416C2×C4—21no—
2417C2×C4—21no—
2418C2×C4—21no—
2419C2×C4—21no—
2420C2×C4—21no—
2421C2×C4—21no—
2422C2×C4—22no—
2423C2×C4—22no—
2424C2×C4—22no—
2425C2×C4—22no—
2426C2×C4—21no—
2427C2×C4—21no—
2428C2×C4—21no—
2429C2×C4—22no—
2430C2×C4—28no—
2431C2×C4—21no—
2432C2×C4—21no—
2433C2×C4—21no—
2434C2×C4—21no—
2435C2×C4—21no—
2436C2×C4—21no—
2437C2×C4—22no—
2438C2×C4—22no—
2439C2×C4—21no—
2440C2×C4—21no—
2441C2×C4—22no—
2442C2×C4—21no—
2443C2×C4—21no—
2444C2×C4—21no—
2445C2×C4—21no—
2446C2×C4—22no—
2447C2×C4—21no—
2448C2×C4—21no—
2449C2×C4—21no—
2450C2×C4—22no—
2451C2×C4—22no—
2452C2×C4—21no—
2453C2×C4—22no—
2454C2×C4—21no—
2455C2×C4—22no—
2456C2×C4—22no—
2457C2×C4—22no—
2458C2×C4—22no—
2459C2×C4—21no—
2460C2×C4—22no—
2461C2×C4—21no—
2462C2×C4—21no—
2463C2×C4—21no—
2464C2×C4—21no—
2465C2×C4—21no—
2466C2×C4—21no—
2467C2×C4—21no—
2468C2×C4—21no—
2469C2×C4—21no—
2470C2×C4—21no—
2471C2×C4—21no—
2472C2×C4—21no—
2473C2×C4—21no—
2474C2×C4—21no—
2475C2×C4—21no—
2476C2×C4—22no—
2477C2×C4—21no—
2478C2×C4—21no—
2479C2×C4—22no—
2480C2×C4—22no—
2481C2×C4—21no—
2482C2×C4—21no—
2483C2×C4—22no—
2484C2×C4—21no—
2485C2×C4—21no—
2486C2×C4—22no—
2487C2×C4—22no—
2488C2×C4—22no—
2489C2×C4—21no—
2490C2×C4—21no—
2491C2×C4—21no—
2492C2×C4—21no—
2493C2×C4—21no—
2494C2×C4—21no—
2495C2×C4—22no—
2496C2×C4—21no—
2497C2×C4—22no—
2498C2×C4—21no—
2499C2×C4—21no—
2500C2×C4—21no—
2501C2×C4—21no—
2502C2×C4—21no—
2503C2×C4—21no—
2504C2×C4—22no—
2505C2×C4—21no—
2506C2×C4—22no—
2507C2×C4—22no—
2508C2×C4—22no—
2509C2×C4—22no—
2510C2×C4—21no—
2511C2×C4—21no—
2512C2×C4—21no—
2513C2×C4—22no—
2514C2×C4—21no—
2515C2×C4—48no—
2516C2×C4—44no—
2517C2×C4—44no—
2518C2×C4—48no—
2519C2×C4—48no—
2520C2×C4—44no—
2521C2×C4—44no—
2522C2×C4—44no—
2523C2×C4—84no—
2524C2×C4—84no—
2525C2×C4—84no—
2526C2×C4—84no—
2527C2×C4—84no—
2528C2×C4—84no—
2529C2×C4—82no—
2530C2×C4—84no—
2531C2×C4—84no—
2532C2×C4—84no—
2533C2×C4—82no—
2534C2×C4—82no—
2535C2×C4—82no—
2536C2×C4—162no—
2537C2×C4—162no—
2538C2×C4C22×#4114yes—
2539C2×C4C22×#4114yes—
2540C2×C4C22×#4112yes—
2541C2×C4C22×#4112yes—
2542C2×C4C22×#4112yes—
2543C2×C4C22×#4114yes—
2544C2×C4C22×#4114yes—
2545C2×C4C22×#4112yes—
2546C2×C4C22×#4112yes—
2547C2×C4C2×H(5,𝔽2)12yes—
2548C2×C4C2×H(5,𝔽2)12yes—
2549C2×C4C2×H(5,𝔽2)12yes—
2550C2×C4#58512yes—
2551C2×C4#58512yes—
2552C22—22no—
2553C22—22no—
2554C22—22no—
2555C22—22no—
2556C22—22no—
2557C22—22no—
2558C22—41no—
2559C22—41no—
2560C22—41no—
2561C22—41no—
2562C22—41no—
2563C22—41no—
2564C22—41no—
2565C22—41no—
2566C22—42no—
2567C22—42no—
2568C22—41no—
2569C22—42no—
2570C22—41no—
2571C22—41no—
2572C22—42no—
2573C22—42no—
2574C22—41no—
2575C22—42no—
2576C22—42no—
2577C22—41no—
2578C22—42no—
2579C22—41no—
2580C22—42no—
2581C22—42no—
2582C22—42no—
2583C22—42no—
2584C22—41no—
2585C22—41no—
2586C22—42no—
2587C22—41no—
2588C22—42no—
2589C22—41no—
2590C22—42no—
2591C22—41no—
2592C22—42no—
2593C22—41no—
2594C22—42no—
2595C22—42no—
2596C22—41no—
2597C22—41no—
2598C22—42no—
2599C22—42no—
2600C22—42no—
2601C22C23×#4111yescharacteristic
2602C22C23×#4111yescharacteristic
2603C22C22×H(5,𝔽2)11yescharacteristic
2604C22C2×#58511yescharacteristic
2605C22C2×#58511yescharacteristic
2606C22C2×#58511yescharacteristic
2607C22H(7,𝔽2)11yescharacteristic
2608C4—24no—
2609C4—22no—
2610C4—22no—
2611C4—22no—
2612C4—22no—
2613C4—24no—
2614C4—22no—
2615C4—24no—
2616C4—24no—
2617C4—22no—
2618C4—22no—
2619C4—41no—
2620C4—42no—
2621C4—42no—
2622C4—41no—
2623C4—42no—
2624C4—41no—
2625C4—41no—
2626C4—42no—
2627C4—42no—
2628C4—41no—
2629C4—42no—
2630C4—42no—
2631C4—41no—
2632C4—41no—
2633C4—42no—
2634C4—41no—
2635C4—41no—
2636C4—41no—
2637C4—41no—
2638C4—41no—
2639C4—41no—
2640C4—41no—
2641C4—41no—
2642C4—42no—
2643C4—41no—
2644C4—41no—
2645C4—41no—
2646C4—41no—
2647C4#348014yes—
2648C2—42no—
2649C2—42no—
2650C2—82no—
2651C2—82no—
2652C2—81no—
2653C2—81no—
2654C2—82no—
2655C2C2×#348011yescharacteristic
2656C2#6277311yescharacteristic
2657C2#6281011yescharacteristic
2658C2#6291011yescharacteristic
2659C2#6298611yescharacteristic
2660C2#6300611yescharacteristic
2661C2#6301811yescharacteristic
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. #59759C2semidirect
2. #59734C2semidirect
3. #59724C2semidirect
4. #59710C2semidirect
5. #59632C2semidirect
6. #59628C2semidirect
7. #59587C2semidirect
8. #59548C2semidirect
9. #59524C2semidirect
10. #59175C2semidirect
11. #45373C2semidirect
12. #45311C2semidirect
13. #45036C2semidirect
14. #44973C2semidirect
15. #44071C2semidirect
16. #43292C2semidirect
17. #43183C2semidirect
18. #43182C2semidirect
19. #40285C2semidirect
20. #40272C2semidirect
21. #39841C2semidirect
22. #39818C2semidirect
23. #39426C2semidirect
24. #39325C2semidirect
25. #39292C2semidirect
26. #39059C2semidirect
27. #36596C2semidirect
28. #36493C2semidirect
29. #36463C2semidirect
30. #36462C2semidirect
31. #36462C2semidirect
32. #36414C2semidirect
33. #36369C2semidirect
34. #36257C2semidirect
35. #36115C2semidirect
36. #35882C2semidirect
37. #35828C2semidirect
38. #35768C2semidirect
39. #35768C2semidirect
40. #34908C2semidirect
41. #34741C2semidirect
42. #34319C2semidirect
43. #34301C2semidirect
44. #34287C2semidirect
45. #34271C2semidirect
46. C4×#553C2semidirect
47. C4×#547C2semidirect
1384. #125#41semidirect

Maximal subgroups

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

subgroupindex
#597592
#597342
#597242
#597102
#596322
#596282
#595872
#595482
#595242
#591752
#453732
#453112
#450362
#449732
#440712
#432922
#431832
#431822
#402852
#402722
#398412
#398182
#394262
#393252
#392922
#390592
#365962
#364932
#364632
#364622
#364142
#363692
#362572
#361152
#358822
#358282
#357682
#349082
#347412
#343192
#343012
#342872
#342712
C4×#5532
C4×#5472