Finite Group Databasebeta

← #7677799

Subgroups — #7677799

Order 512.

4737 conjugacy classes of subgroups.

The subgroup lattice has 2536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59876C211yesmaximal, characteristic, complemented
2#59874C211yesmaximal, characteristic, complemented
3#59549C211yesmaximal, characteristic, complemented
4#59431C211yesmaximal, characteristic, complemented
5#59429C211yesmaximal, characteristic, complemented
6#59417C211yesmaximal, characteristic, complemented
7#59405C211yesmaximal, characteristic, complemented
8#59392C211yesmaximal, characteristic, complemented
9#59333C211yesmaximal, characteristic, complemented
10#59308C211yesmaximal, characteristic, complemented
11#59281C211yesmaximal, characteristic, complemented
12#59274C211yesmaximal, characteristic, complemented
13#59263C211yesmaximal, characteristic, complemented
14#59257C211yesmaximal, characteristic, complemented
15#59068C211yesmaximal, characteristic, complemented
16#59037C211yesmaximal, characteristic, complemented
17#44533C212yesmaximal, complemented
18#44488C212yesmaximal, complemented
19#43955C212yesmaximal, complemented
20#43919C212yesmaximal, complemented
21#43768C212yesmaximal, complemented
22#43724C212yesmaximal, complemented
23#43685C212yesmaximal, complemented
24#43658C212yesmaximal, complemented
25#40426C212yesmaximal, complemented
26#40152C211yesmaximal, characteristic, complemented
27#40140C211yesmaximal, characteristic, complemented
28#40134C212yesmaximal, complemented
29#40123C211yesmaximal, characteristic, complemented
30#40104C211yesmaximal, characteristic, complemented
31#38840C212yesmaximal, complemented
32#38603C212yesmaximal, complemented
33#36453C211yesmaximal, characteristic, complemented
34#36448C211yesmaximal, characteristic, complemented
35#36418C211yesmaximal, characteristic, complemented
36#36241C211yesmaximal, characteristic, complemented
37#35412C212yesmaximal, complemented
38#35407C212yesmaximal, complemented
39#35115C211yesmaximal, characteristic, complemented
40#35073C212yesmaximal, complemented
41#34969C211yesmaximal, characteristic, complemented
42#34917C211yesmaximal, characteristic, complemented
43#34327C211yesmaximal, characteristic, complemented
44#34325C212yesmaximal, complemented
45#34229C211yesmaximal, characteristic, complemented
46C4×#559C211yesmaximal, characteristic, complemented
47C4×#542C211yesmaximal, characteristic, complemented
48C2×#559C2211yescharacteristic
49C2×#553C2212yes—
50C2×#548C2211yescharacteristic
51C2×#542C2211yescharacteristic
52C2×#529C2211yescharacteristic
53#2866C2212yes—
54#2864C2211yescharacteristic
55#2863C2212yes—
56#2863C2211yescharacteristic
57#2863C2211yescharacteristic
58#2859C2211yescharacteristic
59#2855C2212yes—
60#2852C2212yes—
61#2798C2212yes—
62#2793C2212yes—
63#2793C2212yes—
64#2788C2212yes—
65#2788C2212yes—
66#2786C2212yes—
67#2785C2212yes—
68#2783C2212yes—
69#2779C2212yes—
70#2779C2212yes—
71#2778C2212yes—
72#2775C2212yes—
73#2775C2212yes—
74#2772C2212yes—
75#2767C2212yes—
76#2767C2212yes—
77#2766C2212yes—
78#2763C2212yes—
79#2762C2212yes—
80#2761C2212yes—
81#2760C2212yes—
82#2759C2212yes—
83#2758C2212yes—
84#2756C2212yes—
85#2755C2212yes—
86#2753C2212yes—
87#2751C2212yes—
88#2750C2212yes—
89#2750C2212yes—
90#2750C2212yes—
91#2749C2212yes—
92#2749C2212yes—
93#2737C2212yes—
94#2727C2212yes—
95#2716C2212yes—
96#2715C2212yes—
97#2706C2212yes—
98#2703C2212yes—
99#2700C2212yes—
100#2696C2212yes—
101#2691C2212yes—
102#2691C2212yes—
103#2688C2212yes—
104#2687C2212yes—
105#2686C2212yes—
106#2676C2212yes—
107#2672C2212yes—
108#2671C2212yes—
109#2665C2212yes—
110#2663C2212yes—
111#2655C2212yes—
112#2638C2212yes—
113#2634C2212yes—
114#2630C2212yes—
115#2605C2212yes—
116#2600C2212yes—
117#2597C2212yes—
118#2594C2212yes—
119#2594C2212yes—
120#2592C2211yescharacteristic
121#2592C2211yescharacteristic
122#2589C2212yes—
123#2587C2212yes—
124#2586C2212yes—
125#2584C2211yescharacteristic
126#2581C2211yescharacteristic
127#2581C2211yescharacteristic
128#2581C2211yescharacteristic
129#2578C2212yes—
130#2578C2212yes—
131#2576C2212yes—
132#2576C2212yes—
133#2576C2212yes—
134#2576C2212yes—
135#2576C2212yes—
136#2575C2212yes—
137#2575C2212yes—
138#2573C2212yes—
139#2573C2212yes—
140#2573C2212yes—
141#2572C2212yes—
142#2572C2212yes—
143#2572C2212yes—
144#2571C2211yescharacteristic
145#2570C2211yescharacteristic
146#2570C2211yescharacteristic
147#2570C2211yescharacteristic
148#2567C2211yescharacteristic
149#2566C2211yescharacteristic
150#2565C2211yescharacteristic
151#2564C2212yes—
152#2564C2212yes—
153#2563C2211yescharacteristic
154#2562C2211yescharacteristic
155#2560C2212yes—
156#2559C2212yes—
157#2558C2212yes—
158#2557C2212yes—
159#2556C2212yes—
160#2556C2212yes—
161#2555C2212yes—
162#2553C2212yes—
163#2543C2212yes—
164#2538C2211yescharacteristic
165#2538C2211yescharacteristic
166#2537C2211yescharacteristic
167#2536C2211yescharacteristic
168#2535C2211yescharacteristic
169#2533C2212yes—
170#2530C2212yes—
171#2530C2212yes—
172#2528C2212yes—
173#2528C2212yes—
174#2528C2212yes—
175#2528C2212yes—
176#2527C2212yes—
177#2527C2212yes—
178#2527C2212yes—
179#2527C2212yes—
180#2526C2212yes—
181#2525C2212yes—
182#2525C2212yes—
183#2524C2212yes—
184#2524C2212yes—
185#2523C2212yes—
186#2523C2212yes—
187#2521C2212yes—
188#2520C2212yes—
189#2518C2212yes—
190#2516C2212yes—
191#2515C2212yes—
192#2515C2212yes—
193#2514C2211yescharacteristic
194#2514C2211yescharacteristic
195#2514C2211yescharacteristic
196#2514C2212yes—
197#2514C2212yes—
198#2514C2211yescharacteristic
199#2513C2211yescharacteristic
200#2512C2211yescharacteristic
201#2511C2211yescharacteristic
202#2511C2212yes—
203#2511C2211yescharacteristic
204#2511C2211yescharacteristic
205#2510C2212yes—
206#2510C2212yes—
207#2510C2212yes—
208#2510C2212yes—
209#2509C2211yescharacteristic
210#2509C2211yescharacteristic
211#2506C2211yescharacteristic
212#2505C2212yes—
213#2504C2211yescharacteristic
214#2503C2212yes—
215#2503C2211yescharacteristic
216#2502C2211yescharacteristic
217#2500C2211yescharacteristic
218#2497C2212yes—
219#2497C2212yes—
220#2497C2211yescharacteristic
221#2497C2211yescharacteristic
222#2496C2211yescharacteristic
223#2496C2211yescharacteristic
224#2496C2212yes—
225#2495C2211yescharacteristic
226#2495C2211yescharacteristic
227#2495C2212yes—
228#2495C2212yes—
229#2494C2211yescharacteristic
230#2494C2212yes—
231#2494C2211yescharacteristic
232#2494C2212yes—
233#2494C2211yescharacteristic
234#2493C2212yes—
235#2493C2212yes—
236#2493C2212yes—
237#2493C2212yes—
238#2493C2212yes—
239#2493C2212yes—
240#2492C2211yescharacteristic
241#2488C2212yes—
242#2488C2212yes—
243#2481C2212yes—
244#2481C2212yes—
245#2481C2212yes—
246#2477C2212yes—
247#2476C2212yes—
248#2476C2212yes—
249#2474C2212yes—
250#2474C2212yes—
251#2470C2212yes—
252#2469C2212yes—
253#2468C2212yes—
254#2466C2212yes—
255#2466C2212yes—
256#2465C2212yes—
257#2465C2212yes—
258#2463C2212yes—
259#2463C2212yes—
260#2462C2212yes—
261#2460C2212yes—
262#2460C2212yes—
263#2460C2212yes—
264#2459C2212yes—
265#2459C2212yes—
266#2457C2212yes—
267#2457C2212yes—
268#2457C2212yes—
269#2457C2212yes—
270#2457C2212yes—
271#2456C2212yes—
272#2455C2212yes—
273#2452C2211yescharacteristic
274#2450C2212yes—
275#2448C2211yescharacteristic
276#2447C2211yescharacteristic
277#2445C2211yescharacteristic
278#2444C2212yes—
279#2440C2212yes—
280#2440C2211yescharacteristic
281#2439C2211yescharacteristic
282#2438C2212yes—
283#2438C2212yes—
284#2438C2212yes—
285#2436C2211yescharacteristic
286#2431C2211yescharacteristic
287#2428C2211yescharacteristic
288#2428C2211yescharacteristic
289#2427C2212yes—
290#2427C2211yescharacteristic
291#2426C2211yescharacteristic
292#2426C2211yescharacteristic
293#2423C2211yescharacteristic
294#2423C2211yescharacteristic
295#2422C2211yescharacteristic
296#2422C2212yes—
297#2422C2211yescharacteristic
298#2421C2211yescharacteristic
299#2421C2212yes—
300#2420C2211yescharacteristic
301#2420C2211yescharacteristic
302#2420C2211yescharacteristic
303#2420C2211yescharacteristic
304#2419C2212yes—
305#2416C2211yescharacteristic
306#2416C2211yescharacteristic
307#2415C2212yes—
308#2413C2212yes—
309#2409C2211yescharacteristic
310#2407C2211yescharacteristic
311#2401C2212yes—
312#2401C2212yes—
313#2398C2212yes—
314#2392C2212yes—
315#2374C2212yes—
316#2374C2212yes—
317#2374C2212yes—
318#2373C2212yes—
319#2373C2212yes—
320#2372C2212yes—
321#2371C2212yes—
322#2368C2212yes—
323#2367C2211yescharacteristic
324#2367C2211yescharacteristic
325#2367C2211yescharacteristic
326#2367C2212yes—
327#2366C2211yescharacteristic
328#2364C2212yes—
329#2364C2212yes—
330#2364C2212yes—
331#2364C2212yes—
332#2362C2211yescharacteristic
333#2361C2211yescharacteristic
334#2361C2212yes—
335#2361C2211yescharacteristic
336#2361C2211yescharacteristic
337#2360C2211yescharacteristic
338#2360C2211yescharacteristic
339#2359C2212yes—
340#2359C2212yes—
341#2359C2212yes—
342#2357C2211yescharacteristic
343#2357C2212yes—
344#2357C2211yescharacteristic
345#2357C2211yescharacteristic
346#2356C2211yescharacteristic
347#2356C2211yescharacteristic
348#2355C2211yescharacteristic
349#2355C2211yescharacteristic
350#2355C2211yescharacteristic
351#2355C2211yescharacteristic
352#2353C2212yes—
353#2353C2212yes—
354#2353C2212yes—
355#2353C2212yes—
356#2352C2212yes—
357#2352C2211yescharacteristic
358#2352C2211yescharacteristic
359#2351C2211yescharacteristic
360#2351C2211yescharacteristic
361Q8×C4⋊C4C2211yescharacteristic
362#2349C2211yescharacteristic
363D4×C4⋊C4C2211yescharacteristic
364D4×C4⋊C4C2211yescharacteristic
365D4×C4⋊C4C2211yescharacteristic
366#2346C2211yescharacteristic
367#2346C2212yes—
368#2345C2211yescharacteristic
369#2345C2212yes—
370#2345C2211yescharacteristic
371#2344C2211yescharacteristic
372#2343C2212yes—
373#2343C2212yes—
374Q8×C22⋊C4C2211yescharacteristic
375Q8×C22⋊C4C2211yescharacteristic
376Q8×C22⋊C4C2211yescharacteristic
377#2339C2211yescharacteristic
378#2339C2211yescharacteristic
379#2339C2211yescharacteristic
380#2337C2212yes—
381#2337C2211yescharacteristic
382#2337C2211yescharacteristic
383#2336C2212yes—
384#2336C2212yes—
385#2335C2211yescharacteristic
386#2335C2211yescharacteristic
387#2334C2212yes—
388#2334C2212yes—
389#2334C2211yescharacteristic
390#2334C2211yescharacteristic
391#2334C2212yes—
392#2333C2212yes—
393#2332C2211yescharacteristic
394#2332C2212yes—
395#2332C2211yescharacteristic
396#2331C2211yescharacteristic
397#2326C2211yescharacteristic
398#2325C2212yes—
399#2325C2212yes—
400#2325C2212yes—
401#2324C2211yescharacteristic
402#2323C2211yescharacteristic
403#2320C2211yescharacteristic
404#2319C2211yescharacteristic
405#2318C2212yes—
406#2314C2211yescharacteristic
407C4×C4⋊Q8C2211yescharacteristic
408C4×C4⋊Q8C2211yescharacteristic
409C4×#127C2211yescharacteristic
410C4×#125C2211yescharacteristic
411C4×#125C2211yescharacteristic
412C4×#126C2212yes—
413C4×#126C2211yescharacteristic
414C4×#126C2211yescharacteristic
415C4×#124C2211yescharacteristic
416C4×#124C2211yescharacteristic
417C4×#124C2211yescharacteristic
418C4×#124C2211yescharacteristic
419C4×#124C2211yescharacteristic
420C4×#124C2211yescharacteristic
421C4×#124C2211yescharacteristic
422C4×#124C2212yes—
423C4×C22⋊Q8C2212yes—
424C4×C22⋊Q8C2211yescharacteristic
425C4×C22⋊Q8C2211yescharacteristic
426C4×C22⋊Q8C2211yescharacteristic
427C4×C22⋊Q8C2211yescharacteristic
428C4×C22⋊Q8C2211yescharacteristic
429C4×#123C2211yescharacteristic
430C4×#123C2212yes—
431C4×#123C2211yescharacteristic
432C4×#123C2212yes—
433C4×#123C2212yes—
434C4×#123C2212yes—
435C4×#121C2211yescharacteristic
436C4×#121C2211yescharacteristic
437C4×#121C2211yescharacteristic
438C4×#121C2212yes—
439C4×#121C2211yescharacteristic
440C4×#121C2211yescharacteristic
441#2298C2212yes—
442#2297C2211yescharacteristic
443#2295C2211yescharacteristic
444C2×#391C2211yescharacteristic
445#2290C2212yes—
446C2×#387C2212yes—
447#2285C2211yescharacteristic
448#2283C2211yescharacteristic
449C2×#382C2211yescharacteristic
450#2275C2212yes—
451#2275C2212yes—
452C42×Q8C2211yescharacteristic
453C42×Q8C2211yescharacteristic
454C42×D4C2212yes—
455C42×D4C2211yescharacteristic
456C42×D4C2211yescharacteristic
457C42×D4C2211yescharacteristic
458C4×#117C2211yescharacteristic
459C22×#41C2311yescharacteristic
460C23×Q8C2311yescharacteristic
461#559—28no—
462#553—216no—
463#548—28no—
464#542—28no—
465C2×C4⋊Q8C2311yescharacteristic
466C2×C4⋊Q8C2311yescharacteristic
467C2×#127C2311yescharacteristic
468#529—28no—
469C2×#126C2311yescharacteristic
470C2×#126C2311yescharacteristic
471C2×#126C2312yes—
472C2×#126C2312yes—
473C2×#126C2312yes—
474C2×#126C2312yes—
475C2×#125C2311yescharacteristic
476C2×#125C2312yes—
477C2×#125C2312yes—
478C2×#124C2311yescharacteristic
479C2×#124C2312yes—
480C2×#124C2311yescharacteristic
481C2×#124C2311yescharacteristic
482C2×#124C2312yes—
483C2×#124C2311yescharacteristic
484C2×#124C2311yescharacteristic
485C2×#124C2311yescharacteristic
486C2×#123C2311yescharacteristic
487C2×#123C2312yes—
488C2×#123C2312yes—
489C2×#123C2312yes—
490C2×#123C2312yes—
491C2×#123C2312yes—
492C2×#123C2312yes—
493C2×#123C2311yescharacteristic
494C2×C22⋊Q8C2311yescharacteristic
495C2×C22⋊Q8C2311yescharacteristic
496C2×C22⋊Q8C2312yes—
497C2×C22⋊Q8C2311yescharacteristic
498C2×C22⋊Q8C2311yescharacteristic
499C2×C22⋊Q8C2311yescharacteristic
500C2×C22⋊Q8C2312yes—
501C2×C22⋊Q8C2311yescharacteristic
502C2×C22⋊Q8C2312yes—
503C2×C22⋊Q8C2312yes—
504C2×C22⋊Q8C2312yes—
505C2×#121C2311yescharacteristic
506C2×#121C2312yes—
507C2×#121C2312yes—
508C2×#121C2312yes—
509C2×#121C2312yes—
510C2×#121C2311yescharacteristic
511C2×#121C2311yescharacteristic
512C2×#121C2312yes—
513C2×#121C2311yescharacteristic
514C2×#121C2311yescharacteristic
515C2×#121C2311yescharacteristic
516C2×#121C2312yes—
517C2×C4×Q8C2311yescharacteristic
518C2×C4×Q8C2311yescharacteristic
519C2×C4×Q8C2311yescharacteristic
520C2×C4×Q8C2311yescharacteristic
521C2×C4×Q8C2311yescharacteristic
522C2×C4×Q8C2311yescharacteristic
523C2×C4×Q8C2311yescharacteristic
524C2×C4×Q8C2311yescharacteristic
525C2×C4×Q8C2311yescharacteristic
526C2×C4×Q8C2311yescharacteristic
527C2×C4×Q8C2311yescharacteristic
528C2×C4×Q8C2311yescharacteristic
529C2×C4×Q8C2312yes—
530C2×C4×D4C2311yescharacteristic
531C2×C4×D4C2312yes—
532C2×C4×D4C2311yescharacteristic
533C2×C4×D4C2312yes—
534C2×C4×D4C2311yescharacteristic
535C2×C4×D4C2312yes—
536C2×C4×D4C2311yescharacteristic
537C2×C4×D4C2311yescharacteristic
538C2×C4×D4C2312yes—
539C2×C4×D4C2312yes—
540C2×C4×D4C2312yes—
541C2×C4×D4C2312yes—
542C2×C4×D4C2312yes—
543C2×C4×D4C2311yescharacteristic
544C2×C4×D4C2311yescharacteristic
545C2×C4×D4C2311yescharacteristic
546C2×C4×D4C2311yescharacteristic
547C2×C4×D4C2312yes—
548C2×C4×D4C2312yes—
549C2×C4×D4C2311yescharacteristic
550C2×C4×D4C2311yescharacteristic
551C2×C4×D4C2311yescharacteristic
552C2×C4×D4C2311yescharacteristic
553C2×C4×D4C2311yescharacteristic
554C2×C4×D4C2312yes—
555C2×C4×D4C2312yes—
556C2×C4×D4C2312yes—
557C2×C4×D4C2312yes—
558C2×#117C2311yescharacteristic
559C2×#117C2312yes—
560C2×#117C2312yes—
561C2×#117C2311yescharacteristic
562C2×#117C2311yescharacteristic
563C2×#117C2312yes—
564C22×C4⋊C4C2312yes—
565C22×C4⋊C4C2311yescharacteristic
566C22×C4⋊C4C2311yescharacteristic
567C22×C4⋊C4C2311yescharacteristic
568C22×C4⋊C4C2312yes—
569C22×C42C2311yescharacteristic
570C22×C42C2311yescharacteristic
571C22×C42C2311yescharacteristic
572C22×C42C2312yes—
573C22×C42C2312yes—
574#401C2312yes—
575#401C2312yes—
576#401C2312yes—
577#401C2312yes—
578#401C2312yes—
579#401C2312yes—
580#401C2312yes—
581#400C2312yes—
582#400C2312yes—
583#400C2312yes—
584#400C2312yes—
585#400C2312yes—
586#400C2312yes—
587#400C2312yes—
588#400C2312yes—
589#400C2312yes—
590#400C2312yes—
591#400C2312yes—
592#400C2312yes—
593#400C2312yes—
594#400C2312yes—
595#400C2312yes—
596#400C2312yes—
597#400C2312yes—
598#400C2312yes—
599#400C2312yes—
600#400C2312yes—
601#400C2312yes—
602#400C2312yes—
603#400C2312yes—
604#400C2312yes—
605#400C2312yes—
606#400C2312yes—
607#400C2312yes—
608#400C2312yes—
609#400C2312yes—
610#400C2312yes—
611#400C2312yes—
612#400C2312yes—
613#400C2312yes—
614#400C2312yes—
615#399C2312yes—
616#399C2312yes—
617#399C2312yes—
618#398C2312yes—
619#398C2312yes—
620#398C2312yes—
621#398C2312yes—
622#398C2312yes—
623#398C2312yes—
624#398C2312yes—
625#398C2312yes—
626#398C2312yes—
627#398C2312yes—
628#398C2312yes—
629#398C2312yes—
630#398C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#397C2312yes—
644#397C2312yes—
645#397C2312yes—
646#397C2312yes—
647#397C2312yes—
648#397C2312yes—
649#397C2312yes—
650#397C2312yes—
651#397C2312yes—
652#397C2312yes—
653#397C2312yes—
654#397C2312yes—
655#397C2312yes—
656#397C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#396C2312yes—
664#396C2312yes—
665#396C2312yes—
666#396C2312yes—
667#396C2312yes—
668#396C2312yes—
669#396C2312yes—
670#396C2312yes—
671#396C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#391C2312yes—
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725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
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731#391C2311yescharacteristic
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733#391C2312yes—
734#391C2312yes—
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739#391C2312yes—
740#391C2312yes—
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746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
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765#390C2312yes—
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783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
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793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
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800#389C2312yes—
801#389C2312yes—
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806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
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817#389C2312yes—
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826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
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839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
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851#388C2312yes—
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855#388C2312yes—
856#388C2312yes—
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860#388C2312yes—
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863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
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872#388C2312yes—
873#388C2312yes—
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878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
891#388C2312yes—
892#388C2312yes—
893#388C2312yes—
894#388C2312yes—
895#388C2312yes—
896#388C2312yes—
897#388C2312yes—
898#388C2312yes—
899#388C2312yes—
900#388C2312yes—
901#388C2312yes—
902#388C2312yes—
903#388C2312yes—
904#388C2312yes—
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912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
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928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
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935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
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940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
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948#387C2312yes—
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950#387C2312yes—
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960#387C2312yes—
961#387C2312yes—
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1017#386C2312yes—
1018#386C2312yes—
1019#386C2312yes—
1020#386C2312yes—
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1024#386C2312yes—
1025#386C2312yes—
1026#386C2312yes—
1027#386C2312yes—
1028#386C2312yes—
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1033#386C2312yes—
1034#386C2312yes—
1035#386C2312yes—
1036#386C2312yes—
1037#386C2312yes—
1038#386C2312yes—
1039#386C2312yes—
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1068#385C2312yes—
1069#385C2312yes—
1070#385C2312yes—
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1074#385C2312yes—
1075#385C2312yes—
1076#385C2312yes—
1077#385C2312yes—
1078#385C2312yes—
1079#385C2312yes—
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1091#383C2312yes—
1092#383C2312yes—
1093#383C2312yes—
1094#383C2312yes—
1095#383C2312yes—
1096#383C2312yes—
1097#383C2312yes—
1098#383C2312yes—
1099#383C2312yes—
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1109#382C2312yes—
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1113#382C2312yes—
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1118#382C2312yes—
1119#382C2312yes—
1120#382C2312yes—
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1125#381C2312yes—
1126#381C2312yes—
1127#381C2312yes—
1128#381C2312yes—
1129#381C2312yes—
1130#381C2312yes—
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1134#381C2312yes—
1135#381C2312yes—
1136#381C2312yes—
1137#381C2312yes—
1138#381C2312yes—
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1165#380C2312yes—
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1177C4×C4⋊C4C2312yes—
1178C4×C4⋊C4C2312yes—
1179C4×C4⋊C4C2312yes—
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1195C4×C4⋊C4C2312yes—
1196C4×C4⋊C4C2312yes—
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1200C4×C4⋊C4C2312yes—
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1209C4×C4⋊C4C2312yes—
1210C4×C4⋊C4C2312yes—
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1223C4×C22⋊C4C2312yes—
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1227C4×C22⋊C4C2312yes—
1228C4×C22⋊C4C2312yes—
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1233C4×C22⋊C4C2312yes—
1234C4×C22⋊C4C2312yes—
1235C4×C22⋊C4C2312yes—
1236C4×C22⋊C4C2312yes—
1237C4×C22⋊C4C2312yes—
1238C4×C22⋊C4C2312yes—
1239C4×C22⋊C4C2312yes—
1240C4×C22⋊C4C2312yes—
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1246C4×C22⋊C4C2312yes—
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1248C4×C22⋊C4C2312yes—
1249C4×C22⋊C4C2312yes—
1250C4×C22⋊C4C2312yes—
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1255C4×C22⋊C4C2312yes—
1256C4×C22⋊C4C2312yes—
1257C4×C22⋊C4C2312yes—
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1260C4×C22⋊C4C2312yes—
1261C4×C22⋊C4C2312yes—
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1269C4×C22⋊C4C2312yes—
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1273C4×C22⋊C4C2312yes—
1274C4×C22⋊C4C2312yes—
1275C4×C22⋊C4C2312yes—
1276C4×C22⋊C4C2312yes—
1277C4×C22⋊C4C2312yes—
1278C4×C22⋊C4C2312yes—
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1286C2×#95C2312yes—
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1288C2×#95C2312yes—
1289C2×#95C2312yes—
1290C2×#95C2312yes—
1291C2×#95C2312yes—
1292C2×#95C2312yes—
1293C2×#95C2312yes—
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1299C2×#41—24no—
1300C2×#41—42no—
1301C2×#41—42no—
1302C22×Q8—24no—
1303C22×Q8—42no—
1304C22×Q8—42no—
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1310C22×Q8C2412yes—
1311C22×Q8C2412yes—
1312C22×D4C2411yescharacteristic
1313C22×D4C2412yes—
1314C22×D4C2412yes—
1315C22×D4C2411yescharacteristic
1316C22×D4C2412yes—
1317C22×D4C2411yescharacteristic
1318C22×D4C2412yes—
1319C22×D4C2411yescharacteristic
1320C22×D4C2412yes—
1321C22×D4C2412yes—
1322C22×D4C2412yes—
1323C22×D4C2412yes—
1324C22×D4C2411yescharacteristic
1325C23×C4C2411yescharacteristic
1326C23×C4C2411yescharacteristic
1327C23×C4C2411yescharacteristic
1328C23×C4C2411yescharacteristic
1329C23×C4C2412yes—
1330C23×C4C2412yes—
1331C23×C4C2412yes—
1332C23×C4C2412yes—
1333C23×C4C2412yes—
1334C23×C4C2412yes—
1335C23×C4C2412yes—
1336C23×C4C2412yes—
1337C23×C4C2411yescharacteristic
1338C23×C4C2411yescharacteristic
1339C23×C4C2412yes—
1340C23×C4C2412yes—
1341C23×C4C2412yes—
1342C23×C4C2412yes—
1343C23×C4C2412yes—
1344C23×C4C2412yes—
1345C23×C4C2411yescharacteristic
1346C23×C4C2411yescharacteristic
1347C23×C4C2411yescharacteristic
1348C4⋊Q8—24no—
1349C4⋊Q8—42no—
1350#127—24no—
1351#126—24no—
1352#126—28no—
1353#126—28no—
1354#126—24no—
1355#126—28no—
1356#126—82no—
1357#125—28no—
1358#125—24no—
1359#125—44no—
1360#124—24no—
1361#124—24no—
1362#124—24no—
1363#124—24no—
1364#124—28no—
1365#124—28no—
1366#124—42no—
1367#124#4118yes—
1368#123—28no—
1369#123—24no—
1370#123—28no—
1371#123—28no—
1372#123—28no—
1373#123—44no—
1374#123—82no—
1375#123#4118yescomplemented
1376C22⋊Q8—24no—
1377C22⋊Q8—24no—
1378C22⋊Q8—24no—
1379C22⋊Q8—24no—
1380C22⋊Q8—24no—
1381C22⋊Q8—28no—
1382C22⋊Q8—44no—
1383C22⋊Q8—42no—
1384C22⋊Q8—82no—
1385C22⋊Q8—82no—
1386C22⋊Q8—82no—
1387#121—24no—
1388#121—24no—
1389#121—24no—
1390#121—28no—
1391#121—28no—
1392#121—28no—
1393#121—28no—
1394#121—28no—
1395#121—42no—
1396#121—42no—
1397#121—42no—
1398#121—82no—
1399C4×Q8—24no—
1400C4×Q8—24no—
1401C4×Q8—24no—
1402C4×Q8—24no—
1403C4×Q8—24no—
1404C4×Q8—42no—
1405C4×Q8—42no—
1406C4×Q8—42no—
1407C4×Q8—42no—
1408C4×Q8—42no—
1409C4×Q8—42no—
1410C4×Q8—42no—
1411C4×Q8—82no—
1412C4×D4—24no—
1413C4×D4—24no—
1414C4×D4—24no—
1415C4×D4—28no—
1416C4×D4—28no—
1417C4×D4—28no—
1418C4×D4—28no—
1419C4×D4—28no—
1420C4×D4—28no—
1421C4×D4—28no—
1422C4×D4—24no—
1423C4×D4—24no—
1424C4×D4—42no—
1425C4×D4—42no—
1426C4×D4—42no—
1427C4×D4—42no—
1428C4×D4—42no—
1429C4×D4—42no—
1430C4×D4—42no—
1431C4×D4—42no—
1432C4×D4—44no—
1433C4×D4—42no—
1434C4×D4—44no—
1435C4×D4—44no—
1436C4×D4—82no—
1437C4×D4—82no—
1438C4×D4—82no—
1439C4×D4—82no—
1440#117—28no—
1441#117—24no—
1442#117—28no—
1443#117—42no—
1444#117—42no—
1445#117—82no—
1446C2×C4⋊C4—28no—
1447C2×C4⋊C4—42no—
1448C2×C4⋊C4—42no—
1449C2×C4⋊C4—42no—
1450C2×C4⋊C4—82no—
1451C2×C4⋊C4C2411yescharacteristic
1452C2×C4⋊C4C2412yes—
1453C2×C4⋊C4C2411yescharacteristic
1454C2×C4⋊C4C2411yescharacteristic
1455C2×C4⋊C4C2411yescharacteristic
1456C2×C4⋊C4C2411yescharacteristic
1457C2×C4⋊C4C2412yes—
1458C2×C4⋊C4C2412yes—
1459C2×C4⋊C4C2412yes—
1460C2×C4⋊C4C2411yescharacteristic
1461C2×C4⋊C4C2411yescharacteristic
1462C2×C4⋊C4C2412yes—
1463C2×C4⋊C4C2412yes—
1464C2×C4⋊C4C2411yescharacteristic
1465C2×C4⋊C4C2411yescharacteristic
1466C2×C4⋊C4C2411yescharacteristic
1467C2×C4⋊C4C2411yescharacteristic
1468C2×C4⋊C4C2411yescharacteristic
1469C2×C4⋊C4C2411yescharacteristic
1470C2×C4⋊C4C2412yes—
1471C2×C4⋊C4C2411yescharacteristic
1472C2×C4⋊C4C2412yes—
1473C2×C4⋊C4C2411yescharacteristic
1474C2×C4⋊C4C2411yescharacteristic
1475C2×C4⋊C4C2412yes—
1476C2×C4⋊C4C2412yes—
1477C2×C4⋊C4C2412yes—
1478C2×C4⋊C4C2412yes—
1479C2×C4⋊C4C2411yescharacteristic
1480C2×C4⋊C4C2412yes—
1481C2×C4⋊C4C2411yescharacteristic
1482C2×C4⋊C4C2411yescharacteristic
1483C2×C4⋊C4C2411yescharacteristic
1484C2×C4⋊C4C2411yescharacteristic
1485C2×C4⋊C4C2412yes—
1486C2×C4⋊C4C2411yescharacteristic
1487C2×C4⋊C4C2412yes—
1488C2×C4⋊C4C2412yes—
1489C2×C4⋊C4C2412yes—
1490C2×C4⋊C4C2411yescharacteristic
1491C2×C4⋊C4C2411yescharacteristic
1492C2×C4⋊C4C2411yescharacteristic
1493C2×C4⋊C4C2411yescharacteristic
1494C2×C4⋊C4C2412yes—
1495C2×C4⋊C4C2412yes—
1496C2×C4⋊C4C2412yes—
1497C2×C4⋊C4C2412yes—
1498C2×C4⋊C4C2412yes—
1499C2×C4⋊C4C2412yes—
1500C2×C4⋊C4C2412yes—
1501C2×C4⋊C4C2411yescharacteristic
1502C2×C4⋊C4C2412yes—
1503C2×C4⋊C4C2412yes—
1504C2×C4⋊C4C2412yes—
1505C2×C4⋊C4C2411yescharacteristic
1506C2×C4⋊C4C2412yes—
1507C2×C4⋊C4C2411yescharacteristic
1508C2×C4⋊C4C2411yescharacteristic
1509C2×C4⋊C4C2412yes—
1510C2×C4⋊C4C2412yes—
1511C2×C4⋊C4C2412yes—
1512C2×C4⋊C4C2411yescharacteristic
1513C2×C4⋊C4C2411yescharacteristic
1514C2×C4⋊C4C2412yes—
1515C2×C4⋊C4C2412yes—
1516C2×C4⋊C4C2411yescharacteristic
1517C2×C4⋊C4C2411yescharacteristic
1518C2×C4⋊C4C2411yescharacteristic
1519C2×C4⋊C4C2412yes—
1520C2×C4⋊C4C2412yes—
1521C2×C4⋊C4C2411yescharacteristic
1522C2×C4⋊C4C2411yescharacteristic
1523C2×C4⋊C4C2411yescharacteristic
1524C2×C4⋊C4C2411yescharacteristic
1525C2×C4⋊C4C2412yes—
1526C2×C4⋊C4C2412yes—
1527C2×C4⋊C4C2412yes—
1528C2×C4⋊C4C2412yes—
1529C2×C4⋊C4C2412yes—
1530C2×C4⋊C4C2411yescharacteristic
1531C2×C4⋊C4C2412yes—
1532C2×C4⋊C4C2412yes—
1533C2×C4⋊C4C2412yes—
1534C2×C4⋊C4C2412yes—
1535C2×C4⋊C4C2412yes—
1536C2×C4⋊C4C2412yes—
1537C2×C4⋊C4C2411yescharacteristic
1538C2×C4⋊C4C2411yescharacteristic
1539C2×C4⋊C4C2412yes—
1540C2×C4⋊C4C2412yes—
1541C2×C4⋊C4C2411yescharacteristic
1542C2×C4⋊C4C2411yescharacteristic
1543C2×C22⋊C4C2411yescharacteristic
1544C2×C22⋊C4C2412yes—
1545C2×C22⋊C4C2412yes—
1546C2×C22⋊C4C2411yescharacteristic
1547C2×C22⋊C4C2411yescharacteristic
1548C2×C22⋊C4C2412yes—
1549C2×C22⋊C4C2411yescharacteristic
1550C2×C22⋊C4C2412yes—
1551C2×C22⋊C4C2412yes—
1552C2×C22⋊C4C2412yes—
1553C2×C22⋊C4C2412yes—
1554C2×C22⋊C4C2412yes—
1555C2×C22⋊C4C2411yescharacteristic
1556C2×C22⋊C4C2412yes—
1557C2×C22⋊C4C2412yes—
1558C2×C22⋊C4C2412yes—
1559C2×C22⋊C4C2412yes—
1560C2×C22⋊C4C2411yescharacteristic
1561C2×C22⋊C4C2411yescharacteristic
1562C2×C22⋊C4C2411yescharacteristic
1563C2×C22⋊C4C2412yes—
1564C2×C22⋊C4C2412yes—
1565C2×C22⋊C4C2411yescharacteristic
1566C2×C22⋊C4C2411yescharacteristic
1567C2×C22⋊C4C2412yes—
1568C2×C22⋊C4C2411yescharacteristic
1569C2×C22⋊C4C2411yescharacteristic
1570C2×C22⋊C4C2411yescharacteristic
1571C2×C22⋊C4C2412yes—
1572C2×C22⋊C4C2411yescharacteristic
1573C2×C22⋊C4C2412yes—
1574C2×C22⋊C4C2412yes—
1575C2×C22⋊C4C2411yescharacteristic
1576C2×C22⋊C4C2412yes—
1577C2×C22⋊C4C2412yes—
1578C2×C22⋊C4C2412yes—
1579C2×C22⋊C4C2412yes—
1580C2×C22⋊C4C2412yes—
1581C2×C22⋊C4C2412yes—
1582C2×C22⋊C4C2412yes—
1583C2×C22⋊C4C2412yes—
1584C2×C22⋊C4C2412yes—
1585C2×C22⋊C4C2412yes—
1586C2×C22⋊C4C2412yes—
1587C2×C22⋊C4C2412yes—
1588C2×C22⋊C4C2411yescharacteristic
1589C2×C22⋊C4C2412yes—
1590C2×C22⋊C4C2412yes—
1591C2×C22⋊C4C2412yes—
1592C2×C22⋊C4C2412yes—
1593C2×C22⋊C4C2412yes—
1594C2×C22⋊C4C2411yescharacteristic
1595C2×C22⋊C4C2411yescharacteristic
1596C2×C22⋊C4C2411yescharacteristic
1597C2×C22⋊C4C2412yes—
1598C2×C22⋊C4C2412yes—
1599C2×C22⋊C4C2412yes—
1600C2×C22⋊C4C2412yes—
1601C2×C22⋊C4C2411yescharacteristic
1602C2×C22⋊C4C2412yes—
1603C2×C22⋊C4C2412yes—
1604C2×C22⋊C4C2412yes—
1605C2×C22⋊C4C2412yes—
1606C2×C22⋊C4C2412yes—
1607C2×C22⋊C4C2412yes—
1608C2×C22⋊C4C2412yes—
1609C2×C22⋊C4C2412yes—
1610C2×C22⋊C4C2412yes—
1611C2×C22⋊C4C2411yescharacteristic
1612C2×C22⋊C4C2411yescharacteristic
1613C2×C22⋊C4C2411yescharacteristic
1614C2×C22⋊C4C2411yescharacteristic
1615C2×C22⋊C4C2412yes—
1616C2×C22⋊C4C2411yescharacteristic
1617C2×C22⋊C4C2412yes—
1618C2×C22⋊C4C2411yescharacteristic
1619C2×C22⋊C4C2411yescharacteristic
1620C2×C22⋊C4C2412yes—
1621C2×C22⋊C4C2412yes—
1622C2×C22⋊C4C2411yescharacteristic
1623C2×C22⋊C4C2411yescharacteristic
1624C2×C22⋊C4C2412yes—
1625C2×C22⋊C4C2412yes—
1626C2×C22⋊C4C2411yescharacteristic
1627C2×C42—24no—
1628C2×C42—42no—
1629C2×C42—42no—
1630C2×C42—82no—
1631C2×C42—82no—
1632C2×C42C2411yescharacteristic
1633C2×C42C2411yescharacteristic
1634C2×C42C2411yescharacteristic
1635C2×C42C2412yes—
1636C2×C42C2412yes—
1637C2×C42C2412yes—
1638C2×C42C2411yescharacteristic
1639C2×C42C2411yescharacteristic
1640C2×C42C2411yescharacteristic
1641C2×C42C2411yescharacteristic
1642C2×C42C2412yes—
1643C2×C42C2411yescharacteristic
1644C2×C42C2411yescharacteristic
1645C2×C42C2412yes—
1646C2×C42C2412yes—
1647C2×C42C2411yescharacteristic
1648C2×C42C2411yescharacteristic
1649C2×C42C2411yescharacteristic
1650C2×C42C2411yescharacteristic
1651C2×C42C2411yescharacteristic
1652C2×C42C2411yescharacteristic
1653C2×C42C2411yescharacteristic
1654C2×C42C2411yescharacteristic
1655C2×C42C2411yescharacteristic
1656C2×C42C2411yescharacteristic
1657C2×C42C2411yescharacteristic
1658C2×C42C2412yes—
1659C2×C42C2411yescharacteristic
1660C2×C42C2412yes—
1661C2×C42C2412yes—
1662C2×C42C2411yescharacteristic
1663C2×C42C2412yes—
1664C2×C42C2412yes—
1665C2×C42C2412yes—
1666C2×C42C2412yes—
1667C2×C42C2411yescharacteristic
1668C2×C42C2412yes—
1669C2×C42C2412yes—
1670C2×C42C2412yes—
1671C2×C42C2412yes—
1672C2×C42C2412yes—
1673C2×C42C2412yes—
1674C2×C42C2411yescharacteristic
1675C2×C42C2411yescharacteristic
1676C2×C42C2411yescharacteristic
1677C2×C42C2412yes—
1678C2×C42C2411yescharacteristic
1679C2×C42C2412yes—
1680C2×C42C2411yescharacteristic
1681C2×C42C2411yescharacteristic
1682C2×C42C2411yescharacteristic
1683C2×C42C2412yes—
1684C2×C42C2411yescharacteristic
1685C2×C42C2411yescharacteristic
1686C2×C42C2411yescharacteristic
1687C2×C42C2411yescharacteristic
1688#95C2411yescharacteristic
1689#95C2412yes—
1690#95C2412yes—
1691#95C2411yescharacteristic
1692#95C2411yescharacteristic
1693#95C2411yescharacteristic
1694#95C2412yes—
1695#95C2412yes—
1696#95C2412yes—
1697#95C2412yes—
1698#95C2412yes—
1699#95C2412yes—
1700#95C2412yes—
1701#95C2412yes—
1702#95C2412yes—
1703#95C2412yes—
1704#95C2412yes—
1705#95C2412yes—
1706#95C2412yes—
1707#95C2412yes—
1708#95C2412yes—
1709#95C2412yes—
1710#95C2412yes—
1711#95C2412yes—
1712#95C2412yes—
1713#95C2412yes—
1714#95C2412yes—
1715#95C2412yes—
1716#95C2412yes—
1717#95C2412yes—
1718#95C2411yescharacteristic
1719#95C2411yescharacteristic
1720#95C2411yescharacteristic
1721#95C2412yes—
1722#95C2412yes—
1723#95C2412yes—
1724#95C2411yescharacteristic
1725#95C2411yescharacteristic
1726#95C2412yes—
1727#95C2411yescharacteristic
1728#95C2411yescharacteristic
1729#95C2411yescharacteristic
1730#95C2411yescharacteristic
1731#95C2412yes—
1732#95C2412yes—
1733#95C2412yes—
1734#95C2412yes—
1735#95C2412yes—
1736#95C2412yes—
1737#95C2411yescharacteristic
1738#95C2411yescharacteristic
1739#95C2412yes—
1740#95C2412yes—
1741#95C2412yes—
1742#95C2412yes—
1743#95C2412yes—
1744#95C2411yescharacteristic
1745#95C2411yescharacteristic
1746#95C2412yes—
1747#95C2411yescharacteristic
1748#95C2411yescharacteristic
1749#95C2412yes—
1750#95C2412yes—
1751#95C2412yes—
1752#95C2412yes—
1753#95C2412yes—
1754#95C2411yescharacteristic
1755#95C2412yes—
1756#95C2412yes—
1757#95C2412yes—
1758#95C2412yes—
1759#95C2412yes—
1760#95C2412yes—
1761#95C2412yes—
1762#95C2411yescharacteristic
1763#95C2411yescharacteristic
1764#95C2411yescharacteristic
1765#95C2411yescharacteristic
1766#95C2411yescharacteristic
1767#95C2412yes—
1768#95C2412yes—
1769#95C2412yes—
1770#95C2412yes—
1771#95C2412yes—
1772#95C2412yes—
1773#95C2411yescharacteristic
1774#95C2411yescharacteristic
1775#95C2411yescharacteristic
1776#95C2411yescharacteristic
1777#95C2411yescharacteristic
1778#95C2412yes—
1779#95C2411yescharacteristic
1780#95C2412yes—
1781#95C2412yes—
1782#95C2412yes—
1783#95C2411yescharacteristic
1784#95C2411yescharacteristic
1785#95C2411yescharacteristic
1786#95C2411yescharacteristic
1787#95C2412yes—
1788#95C2412yes—
1789#95C2411yescharacteristic
1790#95C2411yescharacteristic
1791#95C2412yes—
1792#95C2412yes—
1793#95C2412yes—
1794#95C2412yes—
1795#95C2412yes—
1796#95C2411yescharacteristic
1797#95C2411yescharacteristic
1798#95C2412yes—
1799#95C2412yes—
1800#95C2412yes—
1801#95C2412yes—
1802#95C2412yes—
1803#95C2412yes—
1804#95C2411yescharacteristic
1805#95C2412yes—
1806#95C2411yescharacteristic
1807#95C2412yes—
1808#95C2412yes—
1809#95C2412yes—
1810#95C2411yescharacteristic
1811#95C2411yescharacteristic
1812#95C2411yescharacteristic
1813#95C2412yes—
1814#95C2412yes—
1815#95C2412yes—
1816#95C2412yes—
1817#95C2412yes—
1818#95C2412yes—
1819#95C2412yes—
1820#95C2412yes—
1821#95C2412yes—
1822#95C2412yes—
1823#95C2412yes—
1824C24C2511yescharacteristic
1825C24C2512yes—
1826C24C2511yescharacteristic
1827C24C2511yescharacteristic
1828C24C2512yes—
1829#41—88no—
1830C2×Q8—22no—
1831C2×Q8—22no—
1832C2×Q8—22no—
1833C2×Q8—22no—
1834C2×Q8—22no—
1835C2×Q8—24no—
1836C2×Q8—22no—
1837C2×Q8—22no—
1838C2×Q8—22no—
1839C2×Q8—22no—
1840C2×Q8—41no—
1841C2×Q8—41no—
1842C2×Q8—41no—
1843C2×Q8—42no—
1844C2×Q8—42no—
1845C2×Q8—41no—
1846C2×Q8—41no—
1847C2×Q8—42no—
1848C2×Q8—42no—
1849C2×Q8—42no—
1850C2×Q8—88no—
1851C2×Q8C2×#4114yes—
1852C2×D4—24no—
1853C2×D4—24no—
1854C2×D4—24no—
1855C2×D4—24no—
1856C2×D4—22no—
1857C2×D4—24no—
1858C2×D4—24no—
1859C2×D4—24no—
1860C2×D4—22no—
1861C2×D4—24no—
1862C2×D4—24no—
1863C2×D4—24no—
1864C2×D4—22no—
1865C2×D4—22no—
1866C2×D4—22no—
1867C2×D4—22no—
1868C2×D4—22no—
1869C2×D4—22no—
1870C2×D4—41no—
1871C2×D4—42no—
1872C2×D4—41no—
1873C2×D4—42no—
1874C2×D4—42no—
1875C2×D4—41no—
1876C2×D4—41no—
1877C2×D4—42no—
1878C2×D4—42no—
1879C2×D4—42no—
1880C2×D4—42no—
1881C2×D4—42no—
1882C2×D4—42no—
1883C2×D4—41no—
1884C2×D4—42no—
1885C2×D4—42no—
1886C2×D4—42no—
1887C2×D4—42no—
1888C2×D4—42no—
1889C2×D4C2×#4114yes—
1890C2×D4C2×#4114yes—
1891C22×C4—22no—
1892C22×C4—24no—
1893C22×C4—24no—
1894C22×C4—24no—
1895C22×C4—24no—
1896C22×C4—22no—
1897C22×C4—22no—
1898C22×C4—22no—
1899C22×C4—22no—
1900C22×C4—22no—
1901C22×C4—22no—
1902C22×C4—22no—
1903C22×C4—22no—
1904C22×C4—22no—
1905C22×C4—22no—
1906C22×C4—22no—
1907C22×C4—24no—
1908C22×C4—24no—
1909C22×C4—24no—
1910C22×C4—24no—
1911C22×C4—24no—
1912C22×C4—24no—
1913C22×C4—22no—
1914C22×C4—24no—
1915C22×C4—24no—
1916C22×C4—41no—
1917C22×C4—41no—
1918C22×C4—41no—
1919C22×C4—41no—
1920C22×C4—41no—
1921C22×C4—41no—
1922C22×C4—42no—
1923C22×C4—42no—
1924C22×C4—42no—
1925C22×C4—42no—
1926C22×C4—42no—
1927C22×C4—42no—
1928C22×C4—42no—
1929C22×C4—42no—
1930C22×C4—42no—
1931C22×C4—42no—
1932C22×C4—42no—
1933C22×C4—42no—
1934C22×C4—42no—
1935C22×C4—42no—
1936C22×C4—42no—
1937C22×C4—41no—
1938C22×C4—41no—
1939C22×C4—41no—
1940C22×C4—41no—
1941C22×C4—42no—
1942C22×C4—41no—
1943C22×C4—42no—
1944C22×C4—42no—
1945C22×C4—42no—
1946C22×C4—41no—
1947C22×C4—41no—
1948C22×C4—42no—
1949C22×C4—42no—
1950C22×C4—42no—
1951C22×C4—42no—
1952C22×C4—42no—
1953C22×C4—42no—
1954C22×C4—42no—
1955C22×C4—42no—
1956C22×C4—42no—
1957C22×C4—42no—
1958C22×C4—42no—
1959C22×C4C2×#4114yes—
1960C22×C4C2512yes—
1961C22×C4C2512yes—
1962C22×C4C2511yescharacteristic
1963C22×C4C2511yescharacteristic
1964C22×C4C2511yescharacteristic
1965C22×C4C2511yescharacteristic
1966C22×C4C2512yes—
1967C22×C4C2511yescharacteristic
1968C22×C4C2512yes—
1969C22×C4C2511yescharacteristic
1970C22×C4C2512yes—
1971C22×C4C2511yescharacteristic
1972C22×C4C2511yescharacteristic
1973C22×C4C2511yescharacteristic
1974C22×C4C2511yescharacteristic
1975C22×C4C2511yescharacteristic
1976C22×C4C2512yes—
1977C22×C4C2511yescharacteristic
1978C22×C4C2511yescharacteristic
1979C22×C4C2511yescharacteristic
1980C22×C4C2511yescharacteristic
1981C22×C4C2512yes—
1982C22×C4C2512yes—
1983C22×C4C2511yescharacteristic
1984C22×C4C2511yescharacteristic
1985C22×C4C2511yescharacteristic
1986C22×C4C2512yes—
1987C22×C4C2511yescharacteristic
1988C22×C4C2512yes—
1989C22×C4C2512yes—
1990C22×C4C2512yes—
1991C22×C4C2512yes—
1992C22×C4C2511yescharacteristic
1993C22×C4C2511yescharacteristic
1994C22×C4C2511yescharacteristic
1995C22×C4C2512yes—
1996C22×C4C2511yescharacteristic
1997C22×C4C2511yescharacteristic
1998C22×C4C2511yescharacteristic
1999C22×C4C2511yescharacteristic
2000C22×C4C2511yescharacteristic
2001C22×C4C2511yescharacteristic
2002C4⋊C4—24no—
2003C4⋊C4—24no—
2004C4⋊C4—24no—
2005C4⋊C4—24no—
2006C4⋊C4—22no—
2007C4⋊C4—24no—
2008C4⋊C4—24no—
2009C4⋊C4—22no—
2010C4⋊C4—22no—
2011C4⋊C4—22no—
2012C4⋊C4—24no—
2013C4⋊C4—22no—
2014C4⋊C4—22no—
2015C4⋊C4—22no—
2016C4⋊C4—24no—
2017C4⋊C4—24no—
2018C4⋊C4—24no—
2019C4⋊C4—22no—
2020C4⋊C4—24no—
2021C4⋊C4—22no—
2022C4⋊C4—22no—
2023C4⋊C4—22no—
2024C4⋊C4—22no—
2025C4⋊C4—24no—
2026C4⋊C4—22no—
2027C4⋊C4—24no—
2028C4⋊C4—24no—
2029C4⋊C4—24no—
2030C4⋊C4—22no—
2031C4⋊C4—22no—
2032C4⋊C4—22no—
2033C4⋊C4—22no—
2034C4⋊C4—22no—
2035C4⋊C4—22no—
2036C4⋊C4—22no—
2037C4⋊C4—22no—
2038C4⋊C4—22no—
2039C4⋊C4—22no—
2040C4⋊C4—22no—
2041C4⋊C4—24no—
2042C4⋊C4—22no—
2043C4⋊C4—24no—
2044C4⋊C4—42no—
2045C4⋊C4—42no—
2046C4⋊C4—42no—
2047C4⋊C4—41no—
2048C4⋊C4—42no—
2049C4⋊C4—42no—
2050C4⋊C4—42no—
2051C4⋊C4—41no—
2052C4⋊C4—41no—
2053C4⋊C4—42no—
2054C4⋊C4—42no—
2055C4⋊C4—41no—
2056C4⋊C4—42no—
2057C4⋊C4—41no—
2058C4⋊C4—42no—
2059C4⋊C4—41no—
2060C4⋊C4—41no—
2061C4⋊C4—42no—
2062C4⋊C4—42no—
2063C4⋊C4—42no—
2064C4⋊C4—41no—
2065C4⋊C4—41no—
2066C4⋊C4—41no—
2067C4⋊C4—41no—
2068C4⋊C4—42no—
2069C4⋊C4—42no—
2070C4⋊C4—42no—
2071C4⋊C4—42no—
2072C4⋊C4—41no—
2073C4⋊C4—41no—
2074C4⋊C4—41no—
2075C4⋊C4—41no—
2076C4⋊C4—41no—
2077C4⋊C4—42no—
2078C4⋊C4—42no—
2079C4⋊C4—42no—
2080C4⋊C4—42no—
2081C4⋊C4—42no—
2082C4⋊C4—42no—
2083C4⋊C4—42no—
2084C4⋊C4—42no—
2085C4⋊C4—42no—
2086C4⋊C4—41no—
2087C4⋊C4—42no—
2088C4⋊C4—42no—
2089C4⋊C4—42no—
2090C4⋊C4—42no—
2091C4⋊C4—42no—
2092C4⋊C4C2×#4114yes—
2093C4⋊C4C2×#4114yes—
2094C22⋊C4—24no—
2095C22⋊C4—24no—
2096C22⋊C4—22no—
2097C22⋊C4—24no—
2098C22⋊C4—24no—
2099C22⋊C4—24no—
2100C22⋊C4—24no—
2101C22⋊C4—22no—
2102C22⋊C4—24no—
2103C22⋊C4—22no—
2104C22⋊C4—22no—
2105C22⋊C4—22no—
2106C22⋊C4—24no—
2107C22⋊C4—22no—
2108C22⋊C4—24no—
2109C22⋊C4—24no—
2110C22⋊C4—24no—
2111C22⋊C4—24no—
2112C22⋊C4—24no—
2113C22⋊C4—22no—
2114C22⋊C4—22no—
2115C22⋊C4—24no—
2116C22⋊C4—22no—
2117C22⋊C4—24no—
2118C22⋊C4—22no—
2119C22⋊C4—24no—
2120C22⋊C4—22no—
2121C22⋊C4—22no—
2122C22⋊C4—22no—
2123C22⋊C4—22no—
2124C22⋊C4—41no—
2125C22⋊C4—41no—
2126C22⋊C4—41no—
2127C22⋊C4—42no—
2128C22⋊C4—42no—
2129C22⋊C4—41no—
2130C22⋊C4—41no—
2131C22⋊C4—41no—
2132C22⋊C4—42no—
2133C22⋊C4—42no—
2134C22⋊C4—41no—
2135C22⋊C4—42no—
2136C22⋊C4—42no—
2137C22⋊C4—42no—
2138C22⋊C4—41no—
2139C22⋊C4—41no—
2140C22⋊C4—42no—
2141C22⋊C4—42no—
2142C22⋊C4—42no—
2143C22⋊C4—41no—
2144C22⋊C4—42no—
2145C22⋊C4—41no—
2146C22⋊C4—42no—
2147C22⋊C4—42no—
2148C22⋊C4—42no—
2149C22⋊C4—42no—
2150C22⋊C4—42no—
2151C22⋊C4—42no—
2152C22⋊C4—42no—
2153C22⋊C4—42no—
2154C22⋊C4—42no—
2155C22⋊C4—42no—
2156C22⋊C4—42no—
2157C22⋊C4—42no—
2158C22⋊C4—42no—
2159C22⋊C4—42no—
2160C22⋊C4—42no—
2161C22⋊C4—42no—
2162C22⋊C4—42no—
2163C22⋊C4—42no—
2164C22⋊C4—42no—
2165C22⋊C4—42no—
2166C22⋊C4—41no—
2167C22⋊C4—42no—
2168C22⋊C4—42no—
2169C22⋊C4—42no—
2170C22⋊C4—42no—
2171C22⋊C4—42no—
2172C22⋊C4—41no—
2173C22⋊C4C2×#4114yes—
2174C22⋊C4C2×#4114yes—
2175C22⋊C4C2×#4118yes—
2176C22⋊C4C2×#4118yes—
2177C22⋊C4C2×#4114yes—
2178C42—22no—
2179C42—22no—
2180C42—22no—
2181C42—22no—
2182C42—24no—
2183C42—24no—
2184C42—24no—
2185C42—22no—
2186C42—24no—
2187C42—24no—
2188C42—22no—
2189C42—24no—
2190C42—22no—
2191C42—22no—
2192C42—22no—
2193C42—22no—
2194C42—22no—
2195C42—22no—
2196C42—22no—
2197C42—22no—
2198C42—22no—
2199C42—22no—
2200C42—22no—
2201C42—22no—
2202C42—22no—
2203C42—22no—
2204C42—41no—
2205C42—41no—
2206C42—41no—
2207C42—41no—
2208C42—41no—
2209C42—41no—
2210C42—42no—
2211C42—42no—
2212C42—42no—
2213C42—42no—
2214C42—42no—
2215C42—41no—
2216C42—41no—
2217C42—42no—
2218C42—41no—
2219C42—42no—
2220C42—41no—
2221C42—41no—
2222C42—42no—
2223C42—42no—
2224C42—42no—
2225C42—42no—
2226C42—41no—
2227C42—42no—
2228C42—42no—
2229C42—42no—
2230C42—42no—
2231C42—42no—
2232C42—41no—
2233C42C2×#4114yes—
2234C23—21no—
2235C23—22no—
2236C23—21no—
2237C23—21no—
2238C23—21no—
2239C23—22no—
2240C23—21no—
2241C23—21no—
2242C23—22no—
2243C23—22no—
2244C23—21no—
2245C23—21no—
2246C23—21no—
2247C23—22no—
2248C23—21no—
2249C23—21no—
2250C23—21no—
2251C23—22no—
2252C23—21no—
2253C23—22no—
2254C23—21no—
2255C23—22no—
2256C23—21no—
2257C23—22no—
2258C23—22no—
2259C23—22no—
2260C23—21no—
2261C23—21no—
2262C23—21no—
2263C23—22no—
2264C23—21no—
2265C23—22no—
2266C23C22×#4112yes—
2267C23C22×#4112yes—
2268C23C22×#4114yes—
2269C23C2611yescharacteristic
2270Q8—28no—
2271Q8—44no—
2272Q8—44no—
2273Q8—82no—
2274Q8—82no—
2275Q8—84no—
2276Q8—84no—
2277D4—28no—
2278D4—44no—
2279D4—44no—
2280D4—48no—
2281D4—48no—
2282D4—48no—
2283D4—44no—
2284D4—84no—
2285D4—82no—
2286D4—84no—
2287D4—84no—
2288D4—84no—
2289D4—84no—
2290C2×C4—21no—
2291C2×C4—21no—
2292C2×C4—21no—
2293C2×C4—21no—
2294C2×C4—21no—
2295C2×C4—21no—
2296C2×C4—21no—
2297C2×C4—21no—
2298C2×C4—21no—
2299C2×C4—22no—
2300C2×C4—22no—
2301C2×C4—21no—
2302C2×C4—21no—
2303C2×C4—21no—
2304C2×C4—21no—
2305C2×C4—21no—
2306C2×C4—21no—
2307C2×C4—21no—
2308C2×C4—21no—
2309C2×C4—21no—
2310C2×C4—22no—
2311C2×C4—21no—
2312C2×C4—21no—
2313C2×C4—21no—
2314C2×C4—21no—
2315C2×C4—21no—
2316C2×C4—22no—
2317C2×C4—22no—
2318C2×C4—22no—
2319C2×C4—22no—
2320C2×C4—22no—
2321C2×C4—21no—
2322C2×C4—22no—
2323C2×C4—21no—
2324C2×C4—21no—
2325C2×C4—22no—
2326C2×C4—22no—
2327C2×C4—21no—
2328C2×C4—22no—
2329C2×C4—21no—
2330C2×C4—21no—
2331C2×C4—22no—
2332C2×C4—21no—
2333C2×C4—21no—
2334C2×C4—21no—
2335C2×C4—21no—
2336C2×C4—21no—
2337C2×C4—21no—
2338C2×C4—21no—
2339C2×C4—21no—
2340C2×C4—21no—
2341C2×C4—21no—
2342C2×C4—21no—
2343C2×C4—21no—
2344C2×C4—21no—
2345C2×C4—21no—
2346C2×C4—21no—
2347C2×C4—21no—
2348C2×C4—21no—
2349C2×C4—21no—
2350C2×C4—21no—
2351C2×C4—22no—
2352C2×C4—21no—
2353C2×C4—22no—
2354C2×C4—21no—
2355C2×C4—21no—
2356C2×C4—22no—
2357C2×C4—22no—
2358C2×C4—22no—
2359C2×C4—22no—
2360C2×C4—22no—
2361C2×C4—22no—
2362C2×C4—21no—
2363C2×C4—21no—
2364C2×C4—21no—
2365C2×C4—22no—
2366C2×C4—22no—
2367C2×C4—22no—
2368C2×C4—22no—
2369C2×C4—21no—
2370C2×C4—22no—
2371C2×C4—22no—
2372C2×C4—22no—
2373C2×C4—22no—
2374C2×C4—21no—
2375C2×C4—22no—
2376C2×C4—22no—
2377C2×C4—21no—
2378C2×C4—22no—
2379C2×C4—22no—
2380C2×C4—21no—
2381C2×C4—22no—
2382C2×C4—22no—
2383C2×C4—22no—
2384C2×C4—21no—
2385C2×C4—21no—
2386C2×C4—22no—
2387C2×C4—21no—
2388C2×C4—21no—
2389C2×C4—21no—
2390C2×C4—21no—
2391C2×C4—21no—
2392C2×C4—21no—
2393C2×C4—22no—
2394C2×C4—21no—
2395C2×C4—21no—
2396C2×C4—21no—
2397C2×C4—21no—
2398C2×C4—22no—
2399C2×C4—22no—
2400C2×C4—21no—
2401C2×C4—21no—
2402C2×C4—21no—
2403C2×C4—22no—
2404C2×C4—44no—
2405C2×C4—44no—
2406C2×C4—44no—
2407C2×C4—44no—
2408C2×C4—44no—
2409C2×C4—84no—
2410C2×C4—82no—
2411C2×C4—84no—
2412C2×C4—84no—
2413C2×C4—84no—
2414C2×C4—84no—
2415C2×C4—82no—
2416C2×C4—84no—
2417C2×C4—84no—
2418C2×C4—84no—
2419C2×C4—84no—
2420C2×C4—84no—
2421C2×C4—84no—
2422C2×C4—84no—
2423C2×C4—82no—
2424C2×C4—82no—
2425C2×C4—162no—
2426C2×C4—162no—
2427C2×C4C22×#4112yes—
2428C2×C4C22×#4112yes—
2429C2×C4C22×#4112yes—
2430C2×C4C22×#4114yes—
2431C2×C4C22×#4112yes—
2432C2×C4C22×#4112yes—
2433C2×C4C22×#4112yes—
2434C2×C4C22×#4112yes—
2435C2×C4C22×#4112yes—
2436C2×C4#58512yes—
2437C2×C4#58512yes—
2438C2×C4#58512yes—
2439C22—22no—
2440C22—22no—
2441C22—22no—
2442C22—22no—
2443C22—24no—
2444C22—24no—
2445C22—22no—
2446C22—22no—
2447C22—24no—
2448C22—42no—
2449C22—42no—
2450C22—41no—
2451C22—41no—
2452C22—41no—
2453C22—41no—
2454C22—41no—
2455C22—41no—
2456C22—42no—
2457C22—42no—
2458C22—41no—
2459C22—41no—
2460C22—41no—
2461C22—42no—
2462C22—42no—
2463C22—41no—
2464C22—41no—
2465C22—42no—
2466C22—42no—
2467C22—41no—
2468C22—41no—
2469C22—42no—
2470C22—42no—
2471C22—41no—
2472C22—41no—
2473C22—42no—
2474C22C23×#4111yescharacteristic
2475C22C23×#4111yescharacteristic
2476C22C2×#58511yescharacteristic
2477C22C2×#58511yescharacteristic
2478C22C2×#58511yescharacteristic
2479C22H(7,𝔽2)11yescharacteristic
2480C222−1+611yescharacteristic
2481C4—22no—
2482C4—22no—
2483C4—22no—
2484C4—22no—
2485C4—24no—
2486C4—22no—
2487C4—22no—
2488C4—22no—
2489C4—22no—
2490C4—42no—
2491C4—42no—
2492C4—41no—
2493C4—41no—
2494C4—41no—
2495C4—41no—
2496C4—42no—
2497C4—42no—
2498C4—41no—
2499C4—41no—
2500C4—41no—
2501C4—42no—
2502C4—42no—
2503C4—42no—
2504C4—41no—
2505C4—41no—
2506C4—41no—
2507C4—41no—
2508C4—41no—
2509C4—41no—
2510C4—41no—
2511C4—41no—
2512C4—41no—
2513C4—42no—
2514C4—42no—
2515C4—42no—
2516C4—42no—
2517C4—41no—
2518C4—41no—
2519C4—42no—
2520C4—42no—
2521C4—41no—
2522C4#352114yes—
2523C2—42no—
2524C2—42no—
2525C2—44no—
2526C2—82no—
2527C2—81no—
2528C2#41211yescharacteristic
2529C2C2×#352111yescharacteristic
2530C2#6285711yescharacteristic
2531C2#6293911yescharacteristic
2532C2#6296511yescharacteristic
2533C2#6299211yescharacteristic
2534C2#6300911yescharacteristic
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. #59876C2semidirect
2. #59874C2semidirect
3. #59549C2semidirect
4. #59431C2semidirect
5. #59429C2semidirect
6. #59417C2semidirect
7. #59405C2semidirect
8. #59392C2semidirect
9. #59333C2semidirect
10. #59308C2semidirect
11. #59281C2semidirect
12. #59274C2semidirect
13. #59263C2semidirect
14. #59257C2semidirect
15. #59068C2semidirect
16. #59037C2semidirect
17. #44533C2semidirect
18. #44488C2semidirect
19. #43955C2semidirect
20. #43919C2semidirect
21. #43768C2semidirect
22. #43724C2semidirect
23. #43685C2semidirect
24. #43658C2semidirect
25. #40426C2semidirect
26. #40152C2semidirect
27. #40140C2semidirect
28. #40134C2semidirect
29. #40123C2semidirect
30. #40104C2semidirect
31. #38840C2semidirect
32. #38603C2semidirect
33. #36453C2semidirect
34. #36448C2semidirect
35. #36418C2semidirect
36. #36241C2semidirect
37. #35412C2semidirect
38. #35407C2semidirect
39. #35115C2semidirect
40. #35073C2semidirect
41. #34969C2semidirect
42. #34917C2semidirect
43. #34327C2semidirect
44. #34325C2semidirect
45. #34229C2semidirect
46. C4×#559C2semidirect
47. C4×#542C2semidirect
1375. #123#41semidirect

Maximal subgroups

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

subgroupindex
#598762
#598742
#595492
#594312
#594292
#594172
#594052
#593922
#593332
#593082
#592812
#592742
#592632
#592572
#590682
#590372
#445332
#444882
#439552
#439192
#437682
#437242
#436852
#436582
#404262
#401522
#401402
#401342
#401232
#401042
#388402
#386032
#364532
#364482
#364182
#362412
#354122
#354072
#351152
#350732
#349692
#349172
#343272
#343252
#342292
C4×#5592
C4×#5422