Finite Group Databasebeta

← #7699712

Subgroups — #7699712

Order 512.

5183 conjugacy classes of subgroups.

The subgroup lattice has 2612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60003C212yesmaximal, complemented
2#59887C212yesmaximal, complemented
3#59810C211yesmaximal, characteristic, complemented
4#59770C211yesmaximal, characteristic, complemented
5#59601C212yesmaximal, complemented
6#59542C212yesmaximal, complemented
7#59517C212yesmaximal, complemented
8#59513C212yesmaximal, complemented
9#59505C211yesmaximal, characteristic, complemented
10#59499C211yesmaximal, characteristic, complemented
11#59446C211yesmaximal, characteristic, complemented
12#59381C211yesmaximal, characteristic, complemented
13#59377C211yesmaximal, characteristic, complemented
14#59364C212yesmaximal, complemented
15#59341C212yesmaximal, complemented
16#59315C211yesmaximal, characteristic, complemented
17#59236C211yesmaximal, characteristic, complemented
18#59163C212yesmaximal, complemented
19#36570C211yesmaximal, characteristic, complemented
20#36522C212yesmaximal, complemented
21#36503C211yesmaximal, characteristic, complemented
22#36502C212yesmaximal, complemented
23#36501C212yesmaximal, complemented
24#36498C211yesmaximal, characteristic, complemented
25#36417C211yesmaximal, characteristic, complemented
26#36414C211yesmaximal, characteristic, complemented
27#36401C211yesmaximal, characteristic, complemented
28#36381C211yesmaximal, characteristic, complemented
29#36349C212yesmaximal, complemented
30#36327C212yesmaximal, complemented
31#36315C211yesmaximal, characteristic, complemented
32#36283C211yesmaximal, characteristic, complemented
33#36257C211yesmaximal, characteristic, complemented
34#36251C211yesmaximal, characteristic, complemented
35#36228C211yesmaximal, characteristic, complemented
36#36228C211yesmaximal, characteristic, complemented
37#36201C211yesmaximal, characteristic, complemented
38#36197C212yesmaximal, complemented
39#36113C211yesmaximal, characteristic, complemented
40C4×#555C211yesmaximal, characteristic, complemented
41C4×#553C211yesmaximal, characteristic, complemented
42C4×#553C211yesmaximal, characteristic, complemented
43C4×#552C211yesmaximal, characteristic, complemented
44C4×#550C211yesmaximal, characteristic, complemented
45#34149C212yesmaximal, complemented
46#34123C211yesmaximal, characteristic, complemented
47#34121C211yesmaximal, characteristic, complemented
48C2×#555C2211yescharacteristic
49C2×#553C2211yescharacteristic
50C2×#553C2211yescharacteristic
51C2×#552C2211yescharacteristic
52C2×#550C2211yescharacteristic
53C2×#529C2212yes—
54C2×C4×#41C2211yescharacteristic
55C2×C4×#41C2211yescharacteristic
56#2865C2212yes—
57#2864C2211yescharacteristic
58#2863C2212yes—
59#2861C2212yes—
60#2860C2211yescharacteristic
61#2860C2211yescharacteristic
62#2860C2212yes—
63#2857C2211yescharacteristic
64#2854C2211yescharacteristic
65#2854C2211yescharacteristic
66#2854C2212yes—
67#2852C2212yes—
68#2852C2212yes—
69#2852C2212yes—
70#2851C2211yescharacteristic
71#2851C2211yescharacteristic
72#2851C2211yescharacteristic
73#2850C2212yes—
74#2793C2212yes—
75#2791C2212yes—
76#2775C2212yes—
77#2768C2212yes—
78#2767C2212yes—
79#2761C2212yes—
80#2761C2212yes—
81#2756C2212yes—
82#2745C2212yes—
83#2743C2212yes—
84#2717C2212yes—
85#2709C2212yes—
86#2707C2212yes—
87#2706C2212yes—
88#2688C2212yes—
89#2686C2212yes—
90#2673C2212yes—
91#2671C2212yes—
92#2606C2212yes—
93#2606C2212yes—
94#2605C2212yes—
95#2603C2212yes—
96#2603C2212yes—
97#2603C2212yes—
98#2602C2212yes—
99#2601C2212yes—
100#2601C2212yes—
101#2601C2212yes—
102#2598C2212yes—
103#2598C2212yes—
104#2597C2212yes—
105#2597C2212yes—
106#2597C2212yes—
107#2597C2212yes—
108#2597C2212yes—
109#2596C2212yes—
110#2595C2212yes—
111#2595C2212yes—
112#2594C2212yes—
113#2593C2212yes—
114#2587C2212yes—
115#2586C2212yes—
116#2585C2212yes—
117#2579C2212yes—
118#2578C2212yes—
119#2577C2212yes—
120#2577C2212yes—
121#2576C2212yes—
122#2576C2212yes—
123#2575C2212yes—
124#2574C2212yes—
125#2574C2212yes—
126#2574C2212yes—
127#2570C2211yescharacteristic
128#2570C2212yes—
129#2569C2212yes—
130#2566C2211yescharacteristic
131#2566C2211yescharacteristic
132#2562C2211yescharacteristic
133#2560C2212yes—
134#2559C2212yes—
135#2558C2212yes—
136#2557C2212yes—
137#2556C2212yes—
138#2555C2212yes—
139#2555C2212yes—
140#2554C2212yes—
141#2554C2212yes—
142#2553C2212yes—
143#2553C2212yes—
144#2553C2212yes—
145#2552C2211yescharacteristic
146#2550C2211yescharacteristic
147#2550C2211yescharacteristic
148#2547C2211yescharacteristic
149#2544C2212yes—
150#2543C2212yes—
151#2535C2211yescharacteristic
152#2535C2211yescharacteristic
153#2533C2212yes—
154#2531C2212yes—
155#2531C2212yes—
156#2531C2212yes—
157#2531C2212yes—
158#2531C2212yes—
159#2531C2212yes—
160#2530C2212yes—
161#2530C2212yes—
162#2529C2212yes—
163#2529C2212yes—
164#2529C2212yes—
165#2529C2212yes—
166#2529C2212yes—
167#2528C2212yes—
168#2527C2212yes—
169#2526C2212yes—
170#2526C2212yes—
171#2526C2212yes—
172#2524C2212yes—
173#2522C2212yes—
174#2521C2212yes—
175#2520C2212yes—
176#2520C2212yes—
177#2519C2212yes—
178#2518C2212yes—
179#2515C2212yes—
180#2513C2211yescharacteristic
181#2512C2211yescharacteristic
182#2508C2211yescharacteristic
183#2507C2211yescharacteristic
184#2507C2211yescharacteristic
185#2506C2211yescharacteristic
186#2497C2211yescharacteristic
187#2497C2211yescharacteristic
188#2497C2211yescharacteristic
189#2497C2211yescharacteristic
190#2496C2211yescharacteristic
191#2494C2211yescharacteristic
192#2491C2211yescharacteristic
193#2491C2211yescharacteristic
194#2490C2211yescharacteristic
195#2490C2211yescharacteristic
196#2489C2212yes—
197#2488C2212yes—
198#2485C2211yescharacteristic
199#2485C2211yescharacteristic
200#2485C2211yescharacteristic
201#2485C2211yescharacteristic
202#2478C2212yes—
203#2477C2212yes—
204#2476C2212yes—
205#2476C2212yes—
206#2476C2212yes—
207#2476C2212yes—
208#2475C2212yes—
209#2475C2212yes—
210#2474C2212yes—
211#2474C2212yes—
212#2471C2212yes—
213#2471C2212yes—
214#2471C2212yes—
215#2469C2212yes—
216#2468C2212yes—
217#2468C2212yes—
218#2467C2212yes—
219#2467C2212yes—
220#2467C2212yes—
221#2466C2212yes—
222#2466C2212yes—
223#2464C2212yes—
224#2462C2212yes—
225#2462C2212yes—
226#2461C2212yes—
227#2461C2212yes—
228#2461C2212yes—
229#2460C2212yes—
230#2460C2212yes—
231#2460C2212yes—
232#2460C2212yes—
233#2460C2212yes—
234#2459C2212yes—
235#2459C2212yes—
236#2459C2212yes—
237#2458C2212yes—
238#2457C2212yes—
239#2457C2212yes—
240#2457C2212yes—
241#2456C2212yes—
242#2456C2212yes—
243#2456C2212yes—
244#2456C2212yes—
245#2454C2211yescharacteristic
246#2453C2211yescharacteristic
247#2453C2211yescharacteristic
248#2452C2211yescharacteristic
249#2451C2211yescharacteristic
250#2451C2211yescharacteristic
251#2450C2212yes—
252#2449C2212yes—
253#2445C2211yescharacteristic
254#2445C2211yescharacteristic
255#2441C2211yescharacteristic
256#2440C2211yescharacteristic
257#2428C2211yescharacteristic
258#2428C2212yes—
259#2428C2211yescharacteristic
260#2427C2212yes—
261#2426C2212yes—
262#2425C2212yes—
263#2425C2212yes—
264#2425C2212yes—
265#2423C2211yescharacteristic
266#2423C2211yescharacteristic
267#2423C2212yes—
268#2422C2211yescharacteristic
269#2422C2211yescharacteristic
270#2421C2211yescharacteristic
271#2421C2211yescharacteristic
272#2420C2212yes—
273#2419C2212yes—
274#2419C2212yes—
275#2416C2211yescharacteristic
276#2414C2211yescharacteristic
277#2407C2211yescharacteristic
278#2407C2211yescharacteristic
279#2407C2211yescharacteristic
280#2407C2211yescharacteristic
281#2374C2212yes—
282#2374C2212yes—
283#2374C2211yescharacteristic
284#2374C2211yescharacteristic
285#2373C2212yes—
286#2373C2212yes—
287#2373C2212yes—
288#2373C2211yescharacteristic
289#2373C2212yes—
290#2373C2211yescharacteristic
291#2373C2212yes—
292#2373C2212yes—
293#2373C2212yes—
294#2372C2212yes—
295#2372C2212yes—
296#2372C2212yes—
297#2372C2212yes—
298#2371C2212yes—
299#2371C2212yes—
300#2371C2212yes—
301#2370C2211yescharacteristic
302#2370C2211yescharacteristic
303#2370C2211yescharacteristic
304#2370C2211yescharacteristic
305#2369C2211yescharacteristic
306#2368C2212yes—
307#2368C2212yes—
308#2367C2212yes—
309#2366C2211yescharacteristic
310#2366C2212yes—
311#2365C2211yescharacteristic
312#2364C2212yes—
313#2364C2212yes—
314#2364C2212yes—
315#2364C2211yescharacteristic
316#2364C2211yescharacteristic
317#2364C2212yes—
318#2363C2211yescharacteristic
319#2363C2211yescharacteristic
320#2363C2211yescharacteristic
321#2363C2212yes—
322#2363C2212yes—
323#2363C2211yescharacteristic
324#2363C2212yes—
325#2363C2211yescharacteristic
326#2362C2211yescharacteristic
327#2361C2211yescharacteristic
328#2361C2211yescharacteristic
329#2361C2211yescharacteristic
330#2360C2211yescharacteristic
331#2359C2212yes—
332#2359C2212yes—
333#2359C2212yes—
334#2359C2212yes—
335#2359C2212yes—
336#2357C2211yescharacteristic
337#2357C2211yescharacteristic
338#2357C2211yescharacteristic
339#2357C2211yescharacteristic
340#2356C2211yescharacteristic
341#2356C2211yescharacteristic
342#2356C2211yescharacteristic
343#2355C2211yescharacteristic
344#2355C2211yescharacteristic
345#2354C2211yescharacteristic
346#2354C2211yescharacteristic
347#2354C2211yescharacteristic
348#2354C2211yescharacteristic
349#2354C2211yescharacteristic
350#2354C2212yes—
351#2354C2211yescharacteristic
352#2353C2212yes—
353#2353C2212yes—
354#2353C2212yes—
355#2353C2212yes—
356#2353C2212yes—
357#2353C2211yescharacteristic
358#2353C2211yescharacteristic
359#2352C2212yes—
360#2352C2211yescharacteristic
361#2352C2211yescharacteristic
362#2352C2212yes—
363#2352C2211yescharacteristic
364#2352C2211yescharacteristic
365Q8×C4⋊C4C2211yescharacteristic
366#2349C2211yescharacteristic
367#2349C2211yescharacteristic
368#2349C2212yes—
369#2347C2211yescharacteristic
370#2347C2211yescharacteristic
371#2346C2211yescharacteristic
372#2346C2211yescharacteristic
373#2346C2211yescharacteristic
374#2346C2211yescharacteristic
375#2346C2211yescharacteristic
376#2346C2212yes—
377#2345C2211yescharacteristic
378#2345C2211yescharacteristic
379#2344C2211yescharacteristic
380#2343C2212yes—
381#2343C2212yes—
382#2343C2212yes—
383#2341C2211yescharacteristic
384#2341C2211yescharacteristic
385#2339C2211yescharacteristic
386#2339C2211yescharacteristic
387C4×C4⋊Q8C2211yescharacteristic
388C4×#127C2211yescharacteristic
389C4×#127C2212yes—
390C4×#125C2211yescharacteristic
391C4×#125C2211yescharacteristic
392C4×#125C2211yescharacteristic
393C4×#125C2212yes—
394C4×#126C2211yescharacteristic
395C4×#126C2212yes—
396C4×#126C2211yescharacteristic
397C4×#126C2212yes—
398C4×#124C2212yes—
399C4×#124C2212yes—
400C4×C22⋊Q8C2211yescharacteristic
401C4×C22⋊Q8C2211yescharacteristic
402C4×#123C2211yescharacteristic
403C4×#123C2212yes—
404C4×#123C2212yes—
405C4×#123C2211yescharacteristic
406C4×#121C2212yes—
407C4×#121C2211yescharacteristic
408C4×#121C2211yescharacteristic
409C4×#121C2211yescharacteristic
410C4×#121C2212yes—
411C4×#121C2212yes—
412C4×#121C2211yescharacteristic
413C4×#121C2212yes—
414C4×#121C2211yescharacteristic
415C4×#121C2211yescharacteristic
416C4×#121C2211yescharacteristic
417C4×#121C2211yescharacteristic
418C4×#121C2211yescharacteristic
419C4×#121C2211yescharacteristic
420#2298C2212yes—
421#2298C2212yes—
422#2298C2212yes—
423#2298C2212yes—
424#2297C2211yescharacteristic
425#2297C2211yescharacteristic
426#2295C2211yescharacteristic
427#2295C2211yescharacteristic
428#2295C2212yes—
429#2295C2212yes—
430#2290C2212yes—
431#2290C2212yes—
432#2290C2212yes—
433#2290C2212yes—
434#2290C2212yes—
435#2290C2212yes—
436#2285C2211yescharacteristic
437#2283C2212yes—
438#2283C2211yescharacteristic
439#2283C2212yes—
440C42×Q8C2211yescharacteristic
441C42×D4C2211yescharacteristic
442C42×D4C2211yescharacteristic
443C42×D4C2211yescharacteristic
444C42×D4C2211yescharacteristic
445C42×D4C2212yes—
446C42×D4C2212yes—
447C42×D4C2211yescharacteristic
448C42×D4C2211yescharacteristic
449C4×#117C2211yescharacteristic
450C4×#117C2211yescharacteristic
451C4×#117C2212yes—
452C4×#117C2211yescharacteristic
453C4×#117C2211yescharacteristic
454C4×#117C2212yes—
455C4×#117C2212yes—
456C2×C4×C4⋊C4C2211yescharacteristic
457C2×C4×C4⋊C4C2211yescharacteristic
458C2×#376C2212yes—
459C22×#41C2311yescharacteristic
460C22×#41C2311yescharacteristic
461#555—28no—
462#553—28no—
463#553—28no—
464#552—28no—
465#550—28no—
466C2×C4⋊Q8C2311yescharacteristic
467C2×C4⋊Q8C2311yescharacteristic
468C2×#127C2312yes—
469C2×#127C2311yescharacteristic
470#529—216no—
471C2×#126C2312yes—
472C2×#126C2312yes—
473C2×#126C2311yescharacteristic
474C2×#126C2312yes—
475C2×#126C2312yes—
476C2×#126C2312yes—
477C2×#126C2312yes—
478C2×#126C2311yescharacteristic
479C2×#125C2311yescharacteristic
480C2×#125C2311yescharacteristic
481C2×#125C2311yescharacteristic
482C2×#125C2312yes—
483C2×#125C2312yes—
484C2×#125C2311yescharacteristic
485C2×#125C2312yes—
486C2×#124C2312yes—
487C2×#124C2312yes—
488C2×#124C2312yes—
489C2×#124C2312yes—
490C2×#124C2312yes—
491C2×#123C2312yes—
492C2×#123C2312yes—
493C2×#123C2312yes—
494C2×#123C2311yescharacteristic
495C2×#123C2312yes—
496C2×#123C2311yescharacteristic
497C2×#123C2312yes—
498C2×#123C2312yes—
499C2×#123C2312yes—
500C2×#123C2312yes—
501C2×C22⋊Q8C2311yescharacteristic
502C2×C22⋊Q8C2311yescharacteristic
503C2×C22⋊Q8C2312yes—
504C2×C22⋊Q8C2312yes—
505C2×C22⋊Q8C2312yes—
506C2×#121C2311yescharacteristic
507C2×#121C2311yescharacteristic
508C2×#121C2311yescharacteristic
509C2×#121C2311yescharacteristic
510C2×#121C2312yes—
511C2×#121C2312yes—
512C2×#121C2312yes—
513C2×#121C2311yescharacteristic
514C2×#121C2312yes—
515C2×#121C2312yes—
516C2×#121C2311yescharacteristic
517C2×#121C2311yescharacteristic
518C2×#121C2311yescharacteristic
519C2×#121C2311yescharacteristic
520C2×#121C2312yes—
521C2×#121C2312yes—
522C2×#121C2311yescharacteristic
523C4×#41—28no—
524C4×#41—28no—
525C2×C4×Q8C2311yescharacteristic
526C2×C4×Q8C2311yescharacteristic
527C2×C4×Q8C2311yescharacteristic
528C2×C4×Q8C2312yes—
529C2×C4×Q8C2311yescharacteristic
530C2×C4×Q8C2312yes—
531C2×C4×Q8C2311yescharacteristic
532C2×C4×D4C2311yescharacteristic
533C2×C4×D4C2311yescharacteristic
534C2×C4×D4C2312yes—
535C2×C4×D4C2312yes—
536C2×C4×D4C2311yescharacteristic
537C2×C4×D4C2311yescharacteristic
538C2×C4×D4C2311yescharacteristic
539C2×C4×D4C2312yes—
540C2×C4×D4C2311yescharacteristic
541C2×C4×D4C2311yescharacteristic
542C2×C4×D4C2311yescharacteristic
543C2×C4×D4C2312yes—
544C2×C4×D4C2311yescharacteristic
545C2×C4×D4C2311yescharacteristic
546C2×C4×D4C2312yes—
547C2×C4×D4C2311yescharacteristic
548C2×C4×D4C2311yescharacteristic
549C2×C4×D4C2311yescharacteristic
550C2×C4×D4C2311yescharacteristic
551C2×C4×D4C2312yes—
552C2×C4×D4C2312yes—
553C2×C4×D4C2312yes—
554C2×C4×D4C2312yes—
555C2×C4×D4C2312yes—
556C2×C4×D4C2311yescharacteristic
557C2×C4×D4C2311yescharacteristic
558C2×C4×D4C2312yes—
559C2×C4×D4C2311yescharacteristic
560C2×C4×D4C2311yescharacteristic
561C2×C4×D4C2311yescharacteristic
562C2×C4×D4C2311yescharacteristic
563C2×C4×D4C2312yes—
564C2×C4×D4C2311yescharacteristic
565C2×C4×D4C2311yescharacteristic
566C2×C4×D4C2312yes—
567C2×C4×D4C2312yes—
568C2×C4×D4C2312yes—
569C2×C4×D4C2312yes—
570C2×C4×D4C2312yes—
571C2×#117C2312yes—
572C2×#117C2312yes—
573C2×#117C2312yes—
574C2×#117C2311yescharacteristic
575C2×#117C2311yescharacteristic
576C2×#117C2311yescharacteristic
577C2×#117C2311yescharacteristic
578C2×#117C2312yes—
579C2×#117C2311yescharacteristic
580C2×#117C2311yescharacteristic
581C2×#117C2311yescharacteristic
582C2×#117C2312yes—
583C2×#117C2312yes—
584C2×#117C2312yes—
585C2×#117C2312yes—
586C2×#117C2311yescharacteristic
587C22×C4⋊C4C2311yescharacteristic
588C22×C4⋊C4C2311yescharacteristic
589C22×C4⋊C4C2311yescharacteristic
590C22×C4⋊C4C2311yescharacteristic
591C22×C42C2311yescharacteristic
592C22×C42C2311yescharacteristic
593C22×C42C2312yes—
594C22×C42C2312yes—
595C22×C42C2312yes—
596C22×C42C2312yes—
597C22×C42C2311yescharacteristic
598C22×C42C2312yes—
599C22×C42C2311yescharacteristic
600C22×C42C2311yescharacteristic
601C22×C42C2311yescharacteristic
602#401C2312yes—
603#400C2312yes—
604#400C2312yes—
605#400C2312yes—
606#400C2312yes—
607#400C2312yes—
608#400C2312yes—
609#400C2312yes—
610#400C2312yes—
611#400C2312yes—
612#400C2312yes—
613#400C2312yes—
614#400C2312yes—
615#400C2312yes—
616#399C2312yes—
617#399C2312yes—
618#399C2312yes—
619#399C2312yes—
620#398C2312yes—
621#398C2312yes—
622#398C2312yes—
623#398C2312yes—
624#398C2312yes—
625#398C2312yes—
626#398C2312yes—
627#398C2312yes—
628#398C2312yes—
629#398C2312yes—
630#398C2312yes—
631#398C2312yes—
632#398C2312yes—
633#398C2312yes—
634#398C2312yes—
635#398C2312yes—
636#398C2312yes—
637#398C2312yes—
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—
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701#392C2312yes—
702#392C2312yes—
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705#392C2312yes—
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710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
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720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
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725#391C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
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731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2312yes—
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745#390C2312yes—
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751#390C2312yes—
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766#389C2312yes—
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790#389C2312yes—
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795#389C2312yes—
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802#389C2312yes—
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806#388C2312yes—
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808#388C2312yes—
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817#388C2312yes—
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819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
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839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
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844#388C2312yes—
845#388C2312yes—
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847#388C2312yes—
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851#388C2312yes—
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858#388C2312yes—
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860#388C2312yes—
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864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
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873#388C2312yes—
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875#388C2312yes—
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877#388C2312yes—
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880#388C2312yes—
881#388C2312yes—
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899#388C2312yes—
900#388C2312yes—
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904#387C2312yes—
905#387C2312yes—
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915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
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923#387C2312yes—
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931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
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938#387C2312yes—
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940#387C2312yes—
941#387C2312yes—
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1003#386C2312yes—
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1009#386C2312yes—
1010#386C2312yes—
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1015#386C2312yes—
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1018#386C2312yes—
1019#386C2312yes—
1020#386C2312yes—
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1024#386C2312yes—
1025#386C2312yes—
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1028#386C2312yes—
1029#386C2312yes—
1030#386C2312yes—
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1034#386C2312yes—
1035#386C2312yes—
1036#386C2312yes—
1037#386C2312yes—
1038#385C2312yes—
1039#385C2312yes—
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1042#385C2312yes—
1043#385C2312yes—
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1059#385C2312yes—
1060#385C2312yes—
1061#385C2312yes—
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1068#384C2312yes—
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1079#383C2312yes—
1080#383C2312yes—
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1089#382C2312yes—
1090#382C2312yes—
1091#382C2312yes—
1092#382C2312yes—
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1096#381C2312yes—
1097#381C2312yes—
1098#381C2312yes—
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1110#380C2312yes—
1111#380C2312yes—
1112#380C2312yes—
1113#380C2312yes—
1114#380C2312yes—
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1131#380C2312yes—
1132#380C2312yes—
1133#380C2312yes—
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1137C4×C4⋊C4C2312yes—
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1172C4×C4⋊C4C2312yes—
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1184C4×C4⋊C4C2312yes—
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1188C4×C4⋊C4C2312yes—
1189C4×C4⋊C4C2312yes—
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1196C4×C4⋊C4C2312yes—
1197C4×C4⋊C4C2312yes—
1198C4×C4⋊C4C2312yes—
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1220C4×C22⋊C4C2312yes—
1221C4×C22⋊C4C2312yes—
1222C4×C22⋊C4C2312yes—
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1227C4×C22⋊C4C2312yes—
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1239C4×C22⋊C4C2312yes—
1240C4×C22⋊C4C2312yes—
1241C4×C22⋊C4C2312yes—
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1244C4×C22⋊C4C2312yes—
1245C4×C22⋊C4C2312yes—
1246C4×C22⋊C4C2312yes—
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1256C4×C22⋊C4C2312yes—
1257C4×C22⋊C4C2312yes—
1258C4×C22⋊C4C2312yes—
1259C4×C22⋊C4C2312yes—
1260C4×C22⋊C4C2312yes—
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1267C4×C22⋊C4C2312yes—
1268C4×C22⋊C4C2312yes—
1269C4×C22⋊C4C2312yes—
1270C4×C22⋊C4C2312yes—
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1273#376C2312yes—
1274#376C2312yes—
1275#376C2312yes—
1276#376C2312yes—
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1288C2×#95C2312yes—
1289C2×#95C2312yes—
1290C2×#95C2312yes—
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1292C2×#95C2312yes—
1293C2×#95C2312yes—
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1295C43C2311yescharacteristic
1296C43C2312yes—
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1300C43C2312yes—
1301C43C2312yes—
1302C2×#41—24no—
1303C2×#41—24no—
1304C2×#41—24no—
1305C2×#41—24no—
1306C2×#41—42no—
1307C2×#41—42no—
1308C22×Q8C2411yescharacteristic
1309C22×Q8C2412yes—
1310C22×Q8C2412yes—
1311C22×D4C2411yescharacteristic
1312C22×D4C2411yescharacteristic
1313C22×D4C2411yescharacteristic
1314C22×D4C2412yes—
1315C22×D4C2411yescharacteristic
1316C22×D4C2411yescharacteristic
1317C22×D4C2412yes—
1318C22×D4C2412yes—
1319C22×D4C2412yes—
1320C22×D4C2411yescharacteristic
1321C22×D4C2411yescharacteristic
1322C22×D4C2412yes—
1323C22×D4C2412yes—
1324C22×D4C2412yes—
1325C22×D4C2412yes—
1326C22×D4C2411yescharacteristic
1327C22×D4C2412yes—
1328C22×D4C2412yes—
1329C23×C4C2411yescharacteristic
1330C23×C4C2411yescharacteristic
1331C23×C4C2411yescharacteristic
1332C23×C4C2411yescharacteristic
1333C23×C4C2412yes—
1334C23×C4C2412yes—
1335C23×C4C2411yescharacteristic
1336C23×C4C2412yes—
1337C23×C4C2412yes—
1338C23×C4C2412yes—
1339C23×C4C2412yes—
1340C23×C4C2411yescharacteristic
1341C23×C4C2411yescharacteristic
1342C23×C4C2411yescharacteristic
1343C23×C4C2411yescharacteristic
1344C23×C4C2412yes—
1345C23×C4C2411yescharacteristic
1346C23×C4C2412yes—
1347C23×C4C2411yescharacteristic
1348C23×C4C2412yes—
1349C23×C4C2411yescharacteristic
1350C23×C4C2411yescharacteristic
1351C23×C4C2412yes—
1352C23×C4C2412yes—
1353C23×C4C2412yes—
1354C23×C4C2411yescharacteristic
1355C23×C4C2411yescharacteristic
1356C23×C4C2411yescharacteristic
1357C4⋊Q8—24no—
1358C4⋊Q8—42no—
1359#127—28no—
1360#127—24no—
1361#126—24no—
1362#126—28no—
1363#126—28no—
1364#126—28no—
1365#126—44no—
1366#126—44no—
1367#126—82no—
1368#126#4118yescomplemented
1369#125—28no—
1370#125—28no—
1371#125—24no—
1372#125—24no—
1373#125—24no—
1374#125—42no—
1375#125—82no—
1376#124—28no—
1377#124—28no—
1378#124—28no—
1379#124—44no—
1380#124—82no—
1381#123—28no—
1382#123—28no—
1383#123—28no—
1384#123—24no—
1385#123—28no—
1386#123—24no—
1387#123—44no—
1388#123—82no—
1389#123—82no—
1390#123—82no—
1391C22⋊Q8—24no—
1392C22⋊Q8—24no—
1393C22⋊Q8—28no—
1394C22⋊Q8—82no—
1395C22⋊Q8—82no—
1396#121—28no—
1397#121—28no—
1398#121—24no—
1399#121—24no—
1400#121—28no—
1401#121—24no—
1402#121—24no—
1403#121—28no—
1404#121—28no—
1405#121—24no—
1406#121—24no—
1407#121—24no—
1408#121—44no—
1409#121—42no—
1410#121—42no—
1411#121—82no—
1412#121#4118yes—
1413C4×Q8—24no—
1414C4×Q8—24no—
1415C4×Q8—28no—
1416C4×Q8—24no—
1417C4×Q8—42no—
1418C4×Q8—82no—
1419C4×Q8#4118yes—
1420C4×D4—24no—
1421C4×D4—24no—
1422C4×D4—24no—
1423C4×D4—24no—
1424C4×D4—24no—
1425C4×D4—24no—
1426C4×D4—24no—
1427C4×D4—28no—
1428C4×D4—28no—
1429C4×D4—28no—
1430C4×D4—24no—
1431C4×D4—28no—
1432C4×D4—28no—
1433C4×D4—28no—
1434C4×D4—28no—
1435C4×D4—24no—
1436C4×D4—24no—
1437C4×D4—28no—
1438C4×D4—28no—
1439C4×D4—24no—
1440C4×D4—24no—
1441C4×D4—24no—
1442C4×D4—24no—
1443C4×D4—44no—
1444C4×D4—42no—
1445C4×D4—42no—
1446C4×D4—42no—
1447C4×D4—44no—
1448C4×D4—42no—
1449C4×D4—42no—
1450C4×D4—44no—
1451C4×D4—42no—
1452C4×D4—42no—
1453C4×D4—42no—
1454C4×D4—82no—
1455C4×D4—82no—
1456C4×D4—82no—
1457C4×D4—82no—
1458C4×D4—82no—
1459#117—24no—
1460#117—24no—
1461#117—24no—
1462#117—24no—
1463#117—28no—
1464#117—28no—
1465#117—28no—
1466#117—24no—
1467#117—24no—
1468#117—28no—
1469#117—28no—
1470#117—28no—
1471#117—24no—
1472#117—44no—
1473#117—42no—
1474#117—44no—
1475C2×C4⋊C4—24no—
1476C2×C4⋊C4—24no—
1477C2×C4⋊C4—24no—
1478C2×C4⋊C4—42no—
1479C2×C4⋊C4C2411yescharacteristic
1480C2×C4⋊C4C2411yescharacteristic
1481C2×C4⋊C4C2411yescharacteristic
1482C2×C4⋊C4C2411yescharacteristic
1483C2×C4⋊C4C2411yescharacteristic
1484C2×C4⋊C4C2411yescharacteristic
1485C2×C4⋊C4C2411yescharacteristic
1486C2×C4⋊C4C2412yes—
1487C2×C4⋊C4C2412yes—
1488C2×C4⋊C4C2411yescharacteristic
1489C2×C4⋊C4C2411yescharacteristic
1490C2×C4⋊C4C2411yescharacteristic
1491C2×C4⋊C4C2411yescharacteristic
1492C2×C4⋊C4C2411yescharacteristic
1493C2×C4⋊C4C2412yes—
1494C2×C4⋊C4C2412yes—
1495C2×C4⋊C4C2411yescharacteristic
1496C2×C4⋊C4C2411yescharacteristic
1497C2×C4⋊C4C2411yescharacteristic
1498C2×C4⋊C4C2412yes—
1499C2×C4⋊C4C2411yescharacteristic
1500C2×C4⋊C4C2412yes—
1501C2×C4⋊C4C2412yes—
1502C2×C4⋊C4C2412yes—
1503C2×C4⋊C4C2412yes—
1504C2×C4⋊C4C2412yes—
1505C2×C4⋊C4C2411yescharacteristic
1506C2×C4⋊C4C2411yescharacteristic
1507C2×C4⋊C4C2411yescharacteristic
1508C2×C4⋊C4C2412yes—
1509C2×C4⋊C4C2411yescharacteristic
1510C2×C4⋊C4C2411yescharacteristic
1511C2×C4⋊C4C2412yes—
1512C2×C4⋊C4C2412yes—
1513C2×C4⋊C4C2411yescharacteristic
1514C2×C4⋊C4C2412yes—
1515C2×C4⋊C4C2411yescharacteristic
1516C2×C4⋊C4C2411yescharacteristic
1517C2×C4⋊C4C2412yes—
1518C2×C4⋊C4C2412yes—
1519C2×C4⋊C4C2412yes—
1520C2×C4⋊C4C2411yescharacteristic
1521C2×C4⋊C4C2411yescharacteristic
1522C2×C4⋊C4C2412yes—
1523C2×C4⋊C4C2412yes—
1524C2×C4⋊C4C2412yes—
1525C2×C4⋊C4C2411yescharacteristic
1526C2×C4⋊C4C2411yescharacteristic
1527C2×C4⋊C4C2412yes—
1528C2×C4⋊C4C2411yescharacteristic
1529C2×C4⋊C4C2412yes—
1530C2×C4⋊C4C2412yes—
1531C2×C4⋊C4C2412yes—
1532C2×C4⋊C4C2412yes—
1533C2×C4⋊C4C2412yes—
1534C2×C4⋊C4C2412yes—
1535C2×C4⋊C4C2411yescharacteristic
1536C2×C4⋊C4C2411yescharacteristic
1537C2×C4⋊C4C2412yes—
1538C2×C4⋊C4C2411yescharacteristic
1539C2×C4⋊C4C2412yes—
1540C2×C4⋊C4C2412yes—
1541C2×C4⋊C4C2412yes—
1542C2×C4⋊C4C2412yes—
1543C2×C4⋊C4C2412yes—
1544C2×C4⋊C4C2412yes—
1545C2×C4⋊C4C2412yes—
1546C2×C4⋊C4C2412yes—
1547C2×C4⋊C4C2412yes—
1548C2×C4⋊C4C2412yes—
1549C2×C4⋊C4C2411yescharacteristic
1550C2×C4⋊C4C2412yes—
1551C2×C4⋊C4C2412yes—
1552C2×C4⋊C4C2412yes—
1553C2×C4⋊C4C2411yescharacteristic
1554C2×C4⋊C4C2412yes—
1555C2×C4⋊C4C2412yes—
1556C2×C4⋊C4C2412yes—
1557C2×C4⋊C4C2412yes—
1558C2×C4⋊C4C2412yes—
1559C2×C4⋊C4C2412yes—
1560C2×C4⋊C4C2412yes—
1561C2×C4⋊C4C2411yescharacteristic
1562C2×C4⋊C4C2411yescharacteristic
1563C2×C4⋊C4C2411yescharacteristic
1564C2×C4⋊C4C2412yes—
1565C2×C4⋊C4C2411yescharacteristic
1566C2×C4⋊C4C2411yescharacteristic
1567C2×C22⋊C4C2411yescharacteristic
1568C2×C22⋊C4C2412yes—
1569C2×C22⋊C4C2412yes—
1570C2×C22⋊C4C2412yes—
1571C2×C22⋊C4C2412yes—
1572C2×C22⋊C4C2412yes—
1573C2×C22⋊C4C2412yes—
1574C2×C22⋊C4C2412yes—
1575C2×C22⋊C4C2412yes—
1576C2×C22⋊C4C2411yescharacteristic
1577C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1588C2×C22⋊C4C2411yescharacteristic
1589C2×C22⋊C4C2411yescharacteristic
1590C2×C22⋊C4C2411yescharacteristic
1591C2×C22⋊C4C2411yescharacteristic
1592C2×C22⋊C4C2411yescharacteristic
1593C2×C22⋊C4C2412yes—
1594C2×C22⋊C4C2411yescharacteristic
1595C2×C22⋊C4C2412yes—
1596C2×C22⋊C4C2411yescharacteristic
1597C2×C22⋊C4C2411yescharacteristic
1598C2×C22⋊C4C2412yes—
1599C2×C22⋊C4C2412yes—
1600C2×C22⋊C4C2411yescharacteristic
1601C2×C22⋊C4C2411yescharacteristic
1602C2×C22⋊C4C2412yes—
1603C2×C22⋊C4C2412yes—
1604C2×C22⋊C4C2411yescharacteristic
1605C2×C22⋊C4C2412yes—
1606C2×C22⋊C4C2411yescharacteristic
1607C2×C22⋊C4C2412yes—
1608C2×C22⋊C4C2411yescharacteristic
1609C2×C22⋊C4C2411yescharacteristic
1610C2×C22⋊C4C2412yes—
1611C2×C22⋊C4C2411yescharacteristic
1612C2×C22⋊C4C2412yes—
1613C2×C22⋊C4C2412yes—
1614C2×C22⋊C4C2411yescharacteristic
1615C2×C22⋊C4C2412yes—
1616C2×C22⋊C4C2412yes—
1617C2×C22⋊C4C2412yes—
1618C2×C22⋊C4C2412yes—
1619C2×C22⋊C4C2412yes—
1620C2×C22⋊C4C2412yes—
1621C2×C22⋊C4C2412yes—
1622C2×C22⋊C4C2412yes—
1623C2×C22⋊C4C2412yes—
1624C2×C22⋊C4C2412yes—
1625C2×C22⋊C4C2412yes—
1626C2×C22⋊C4C2411yescharacteristic
1627C2×C22⋊C4C2412yes—
1628C2×C22⋊C4C2412yes—
1629C2×C22⋊C4C2411yescharacteristic
1630C2×C22⋊C4C2411yescharacteristic
1631C2×C22⋊C4C2411yescharacteristic
1632C2×C22⋊C4C2412yes—
1633C2×C22⋊C4C2411yescharacteristic
1634C2×C22⋊C4C2411yescharacteristic
1635C2×C22⋊C4C2412yes—
1636C2×C22⋊C4C2411yescharacteristic
1637C2×C22⋊C4C2412yes—
1638C2×C22⋊C4C2412yes—
1639C2×C22⋊C4C2412yes—
1640C2×C22⋊C4C2412yes—
1641C2×C22⋊C4C2411yescharacteristic
1642C2×C22⋊C4C2412yes—
1643C2×C22⋊C4C2411yescharacteristic
1644C2×C22⋊C4C2412yes—
1645C2×C22⋊C4C2412yes—
1646C2×C22⋊C4C2412yes—
1647C2×C22⋊C4C2412yes—
1648C2×C22⋊C4C2412yes—
1649C2×C22⋊C4C2412yes—
1650C2×C22⋊C4C2412yes—
1651C2×C22⋊C4C2412yes—
1652C2×C22⋊C4C2412yes—
1653C2×C22⋊C4C2412yes—
1654C2×C22⋊C4C2412yes—
1655C2×C22⋊C4C2411yescharacteristic
1656C2×C22⋊C4C2412yes—
1657C2×C22⋊C4C2411yescharacteristic
1658C2×C22⋊C4C2411yescharacteristic
1659C2×C42—28no—
1660C2×C42—28no—
1661C2×C42—24no—
1662C2×C42—24no—
1663C2×C42—28no—
1664C2×C42—44no—
1665C2×C42—44no—
1666C2×C42—42no—
1667C2×C42—42no—
1668C2×C42—42no—
1669C2×C42—42no—
1670C2×C42C2412yes—
1671C2×C42C2412yes—
1672C2×C42C2412yes—
1673C2×C42C2412yes—
1674C2×C42C2412yes—
1675C2×C42C2412yes—
1676C2×C42C2411yescharacteristic
1677C2×C42C2411yescharacteristic
1678C2×C42C2412yes—
1679C2×C42C2412yes—
1680C2×C42C2411yescharacteristic
1681C2×C42C2412yes—
1682C2×C42C2412yes—
1683C2×C42C2412yes—
1684C2×C42C2411yescharacteristic
1685C2×C42C2411yescharacteristic
1686C2×C42C2411yescharacteristic
1687C2×C42C2411yescharacteristic
1688C2×C42C2411yescharacteristic
1689C2×C42C2411yescharacteristic
1690C2×C42C2412yes—
1691C2×C42C2411yescharacteristic
1692C2×C42C2412yes—
1693C2×C42C2412yes—
1694C2×C42C2411yescharacteristic
1695C2×C42C2412yes—
1696C2×C42C2412yes—
1697C2×C42C2411yescharacteristic
1698C2×C42C2411yescharacteristic
1699C2×C42C2411yescharacteristic
1700C2×C42C2411yescharacteristic
1701C2×C42C2411yescharacteristic
1702C2×C42C2412yes—
1703C2×C42C2411yescharacteristic
1704C2×C42C2411yescharacteristic
1705C2×C42C2411yescharacteristic
1706C2×C42C2412yes—
1707C2×C42C2412yes—
1708C2×C42C2411yescharacteristic
1709C2×C42C2412yes—
1710C2×C42C2412yes—
1711C2×C42C2412yes—
1712C2×C42C2412yes—
1713C2×C42C2411yescharacteristic
1714C2×C42C2411yescharacteristic
1715C2×C42C2411yescharacteristic
1716C2×C42C2411yescharacteristic
1717C2×C42C2412yes—
1718C2×C42C2412yes—
1719C2×C42C2411yescharacteristic
1720C2×C42C2411yescharacteristic
1721C2×C42C2411yescharacteristic
1722C2×C42C2411yescharacteristic
1723C2×C42C2412yes—
1724C2×C42C2411yescharacteristic
1725C2×C42C2412yes—
1726C2×C42C2412yes—
1727C2×C42C2411yescharacteristic
1728C2×C42C2411yescharacteristic
1729C2×C42C2411yescharacteristic
1730C2×C42C2411yescharacteristic
1731C2×C42C2412yes—
1732C2×C42C2412yes—
1733C2×C42C2411yescharacteristic
1734C2×C42C2411yescharacteristic
1735#95C2411yescharacteristic
1736#95C2411yescharacteristic
1737#95C2411yescharacteristic
1738#95C2411yescharacteristic
1739#95C2412yes—
1740#95C2411yescharacteristic
1741#95C2412yes—
1742#95C2412yes—
1743#95C2412yes—
1744#95C2412yes—
1745#95C2412yes—
1746#95C2412yes—
1747#95C2412yes—
1748#95C2412yes—
1749#95C2412yes—
1750#95C2412yes—
1751#95C2412yes—
1752#95C2411yescharacteristic
1753#95C2412yes—
1754#95C2412yes—
1755#95C2411yescharacteristic
1756#95C2411yescharacteristic
1757#95C2411yescharacteristic
1758#95C2412yes—
1759#95C2411yescharacteristic
1760#95C2411yescharacteristic
1761#95C2412yes—
1762#95C2411yescharacteristic
1763#95C2412yes—
1764#95C2411yescharacteristic
1765#95C2411yescharacteristic
1766#95C2412yes—
1767#95C2411yescharacteristic
1768#95C2412yes—
1769#95C2411yescharacteristic
1770#95C2412yes—
1771#95C2412yes—
1772#95C2412yes—
1773#95C2412yes—
1774#95C2412yes—
1775#95C2412yes—
1776#95C2412yes—
1777#95C2412yes—
1778#95C2412yes—
1779#95C2411yescharacteristic
1780#95C2412yes—
1781#95C2412yes—
1782#95C2412yes—
1783#95C2412yes—
1784#95C2412yes—
1785#95C2412yes—
1786#95C2412yes—
1787#95C2412yes—
1788#95C2412yes—
1789#95C2411yescharacteristic
1790#95C2411yescharacteristic
1791#95C2411yescharacteristic
1792#95C2411yescharacteristic
1793#95C2411yescharacteristic
1794#95C2412yes—
1795#95C2412yes—
1796#95C2412yes—
1797#95C2411yescharacteristic
1798#95C2411yescharacteristic
1799#95C2412yes—
1800#95C2411yescharacteristic
1801#95C2411yescharacteristic
1802#95C2412yes—
1803#95C2412yes—
1804#95C2412yes—
1805#95C2411yescharacteristic
1806#95C2411yescharacteristic
1807#95C2412yes—
1808#95C2412yes—
1809#95C2411yescharacteristic
1810#95C2412yes—
1811#95C2411yescharacteristic
1812#95C2411yescharacteristic
1813#95C2411yescharacteristic
1814#95C2411yescharacteristic
1815#95C2412yes—
1816#95C2412yes—
1817#95C2412yes—
1818#95C2411yescharacteristic
1819#95C2412yes—
1820#95C2412yes—
1821#95C2412yes—
1822#95C2412yes—
1823#95C2412yes—
1824#95C2412yes—
1825#95C2412yes—
1826#95C2411yescharacteristic
1827#95C2412yes—
1828#95C2411yescharacteristic
1829#95C2412yes—
1830#95C2412yes—
1831#95C2411yescharacteristic
1832#95C2412yes—
1833#95C2412yes—
1834#95C2412yes—
1835#95C2412yes—
1836#95C2412yes—
1837#95C2412yes—
1838#95C2412yes—
1839#95C2412yes—
1840#95C2412yes—
1841#95C2411yescharacteristic
1842#95C2412yes—
1843#95C2411yescharacteristic
1844#95C2411yescharacteristic
1845#95C2412yes—
1846#95C2412yes—
1847#95C2412yes—
1848#95C2412yes—
1849#95C2412yes—
1850#95C2412yes—
1851#95C2412yes—
1852C24C2511yescharacteristic
1853C24C2512yes—
1854C24C2511yescharacteristic
1855C24C2511yescharacteristic
1856C24C2512yes—
1857C24C2511yescharacteristic
1858#41—416no—
1859#41—416no—
1860C2×Q8—22no—
1861C2×Q8—24no—
1862C2×Q8—24no—
1863C2×Q8—22no—
1864C2×Q8—42no—
1865C2×Q8—42no—
1866C2×Q8—42no—
1867C2×Q8—42no—
1868C2×Q8C2×#4114yes—
1869C2×D4—22no—
1870C2×D4—22no—
1871C2×D4—22no—
1872C2×D4—24no—
1873C2×D4—22no—
1874C2×D4—24no—
1875C2×D4—22no—
1876C2×D4—24no—
1877C2×D4—24no—
1878C2×D4—24no—
1879C2×D4—24no—
1880C2×D4—22no—
1881C2×D4—24no—
1882C2×D4—24no—
1883C2×D4—22no—
1884C2×D4—24no—
1885C2×D4—24no—
1886C2×D4—22no—
1887C2×D4—22no—
1888C2×D4—22no—
1889C2×D4—24no—
1890C2×D4—22no—
1891C2×D4—22no—
1892C2×D4—22no—
1893C2×D4—24no—
1894C2×D4—22no—
1895C2×D4—22no—
1896C2×D4—42no—
1897C2×D4—42no—
1898C2×D4—41no—
1899C2×D4—41no—
1900C2×D4—41no—
1901C2×D4—42no—
1902C2×D4—41no—
1903C2×D4—42no—
1904C2×D4—42no—
1905C2×D4—42no—
1906C2×D4—41no—
1907C2×D4—41no—
1908C2×D4—42no—
1909C2×D4—42no—
1910C2×D4—42no—
1911C2×D4—42no—
1912C2×D4—42no—
1913C2×D4—42no—
1914C2×D4—41no—
1915C2×D4—42no—
1916C2×D4—42no—
1917C2×D4—41no—
1918C2×D4—42no—
1919C2×D4—42no—
1920C2×D4—42no—
1921C2×D4C2×#4114yes—
1922C2×D4C2×#4118yes—
1923C22×C4—22no—
1924C22×C4—22no—
1925C22×C4—24no—
1926C22×C4—24no—
1927C22×C4—24no—
1928C22×C4—24no—
1929C22×C4—22no—
1930C22×C4—24no—
1931C22×C4—24no—
1932C22×C4—22no—
1933C22×C4—24no—
1934C22×C4—24no—
1935C22×C4—24no—
1936C22×C4—22no—
1937C22×C4—22no—
1938C22×C4—24no—
1939C22×C4—24no—
1940C22×C4—22no—
1941C22×C4—22no—
1942C22×C4—22no—
1943C22×C4—24no—
1944C22×C4—22no—
1945C22×C4—22no—
1946C22×C4—22no—
1947C22×C4—24no—
1948C22×C4—22no—
1949C22×C4—22no—
1950C22×C4—22no—
1951C22×C4—22no—
1952C22×C4—22no—
1953C22×C4—22no—
1954C22×C4—22no—
1955C22×C4—24no—
1956C22×C4—24no—
1957C22×C4—22no—
1958C22×C4—24no—
1959C22×C4—22no—
1960C22×C4—24no—
1961C22×C4—22no—
1962C22×C4—22no—
1963C22×C4—24no—
1964C22×C4—22no—
1965C22×C4—22no—
1966C22×C4—41no—
1967C22×C4—42no—
1968C22×C4—42no—
1969C22×C4—41no—
1970C22×C4—41no—
1971C22×C4—42no—
1972C22×C4—42no—
1973C22×C4—42no—
1974C22×C4—42no—
1975C22×C4—41no—
1976C22×C4—41no—
1977C22×C4—41no—
1978C22×C4—41no—
1979C22×C4—42no—
1980C22×C4—41no—
1981C22×C4—41no—
1982C22×C4—41no—
1983C22×C4—42no—
1984C22×C4—41no—
1985C22×C4—42no—
1986C22×C4—42no—
1987C22×C4—41no—
1988C22×C4—42no—
1989C22×C4—42no—
1990C22×C4—41no—
1991C22×C4—41no—
1992C22×C4—41no—
1993C22×C4—42no—
1994C22×C4—41no—
1995C22×C4—41no—
1996C22×C4—41no—
1997C22×C4—42no—
1998C22×C4—42no—
1999C22×C4—41no—
2000C22×C4—41no—
2001C22×C4—42no—
2002C22×C4—42no—
2003C22×C4—41no—
2004C22×C4—41no—
2005C22×C4—42no—
2006C22×C4C2×#4114yes—
2007C22×C4C2511yescharacteristic
2008C22×C4C2511yescharacteristic
2009C22×C4C2512yes—
2010C22×C4C2512yes—
2011C22×C4C2512yes—
2012C22×C4C2511yescharacteristic
2013C22×C4C2511yescharacteristic
2014C22×C4C2511yescharacteristic
2015C22×C4C2511yescharacteristic
2016C22×C4C2512yes—
2017C22×C4C2511yescharacteristic
2018C22×C4C2511yescharacteristic
2019C22×C4C2511yescharacteristic
2020C22×C4C2512yes—
2021C22×C4C2512yes—
2022C22×C4C2511yescharacteristic
2023C22×C4C2511yescharacteristic
2024C22×C4C2512yes—
2025C22×C4C2511yescharacteristic
2026C22×C4C2511yescharacteristic
2027C22×C4C2511yescharacteristic
2028C22×C4C2512yes—
2029C22×C4C2512yes—
2030C22×C4C2512yes—
2031C22×C4C2511yescharacteristic
2032C22×C4C2512yes—
2033C22×C4C2511yescharacteristic
2034C22×C4C2512yes—
2035C22×C4C2512yes—
2036C22×C4C2511yescharacteristic
2037C22×C4C2511yescharacteristic
2038C22×C4C2511yescharacteristic
2039C22×C4C2511yescharacteristic
2040C22×C4C2511yescharacteristic
2041C22×C4C2512yes—
2042C22×C4C2511yescharacteristic
2043C22×C4C2511yescharacteristic
2044C22×C4C2511yescharacteristic
2045C22×C4C2511yescharacteristic
2046C22×C4C2511yescharacteristic
2047C22×C4C2511yescharacteristic
2048C4⋊C4—22no—
2049C4⋊C4—22no—
2050C4⋊C4—22no—
2051C4⋊C4—22no—
2052C4⋊C4—24no—
2053C4⋊C4—22no—
2054C4⋊C4—24no—
2055C4⋊C4—22no—
2056C4⋊C4—22no—
2057C4⋊C4—24no—
2058C4⋊C4—24no—
2059C4⋊C4—22no—
2060C4⋊C4—22no—
2061C4⋊C4—22no—
2062C4⋊C4—22no—
2063C4⋊C4—24no—
2064C4⋊C4—22no—
2065C4⋊C4—24no—
2066C4⋊C4—22no—
2067C4⋊C4—24no—
2068C4⋊C4—24no—
2069C4⋊C4—24no—
2070C4⋊C4—24no—
2071C4⋊C4—22no—
2072C4⋊C4—24no—
2073C4⋊C4—22no—
2074C4⋊C4—24no—
2075C4⋊C4—22no—
2076C4⋊C4—22no—
2077C4⋊C4—24no—
2078C4⋊C4—22no—
2079C4⋊C4—24no—
2080C4⋊C4—24no—
2081C4⋊C4—24no—
2082C4⋊C4—24no—
2083C4⋊C4—22no—
2084C4⋊C4—24no—
2085C4⋊C4—24no—
2086C4⋊C4—22no—
2087C4⋊C4—22no—
2088C4⋊C4—22no—
2089C4⋊C4—22no—
2090C4⋊C4—22no—
2091C4⋊C4—24no—
2092C4⋊C4—22no—
2093C4⋊C4—22no—
2094C4⋊C4—41no—
2095C4⋊C4—41no—
2096C4⋊C4—41no—
2097C4⋊C4—42no—
2098C4⋊C4—42no—
2099C4⋊C4—42no—
2100C4⋊C4—41no—
2101C4⋊C4—41no—
2102C4⋊C4—42no—
2103C4⋊C4—41no—
2104C4⋊C4—42no—
2105C4⋊C4—42no—
2106C4⋊C4—42no—
2107C4⋊C4—42no—
2108C4⋊C4—42no—
2109C4⋊C4—42no—
2110C4⋊C4—42no—
2111C4⋊C4—42no—
2112C4⋊C4—42no—
2113C4⋊C4—42no—
2114C4⋊C4—42no—
2115C4⋊C4—42no—
2116C4⋊C4—42no—
2117C4⋊C4—42no—
2118C4⋊C4—42no—
2119C4⋊C4—41no—
2120C4⋊C4—42no—
2121C4⋊C4—42no—
2122C4⋊C4—42no—
2123C4⋊C4—42no—
2124C4⋊C4—41no—
2125C4⋊C4—42no—
2126C4⋊C4—42no—
2127C4⋊C4—42no—
2128C4⋊C4—42no—
2129C4⋊C4—42no—
2130C4⋊C4C2×#4114yes—
2131C4⋊C4C2×#4114yes—
2132C4⋊C4C2×#4114yes—
2133C4⋊C4C2×#4118yes—
2134C4⋊C4C2×#4114yes—
2135C4⋊C4C2×#4114yes—
2136C22⋊C4—24no—
2137C22⋊C4—24no—
2138C22⋊C4—24no—
2139C22⋊C4—24no—
2140C22⋊C4—22no—
2141C22⋊C4—24no—
2142C22⋊C4—22no—
2143C22⋊C4—22no—
2144C22⋊C4—24no—
2145C22⋊C4—24no—
2146C22⋊C4—22no—
2147C22⋊C4—24no—
2148C22⋊C4—24no—
2149C22⋊C4—24no—
2150C22⋊C4—24no—
2151C22⋊C4—24no—
2152C22⋊C4—24no—
2153C22⋊C4—22no—
2154C22⋊C4—22no—
2155C22⋊C4—24no—
2156C22⋊C4—24no—
2157C22⋊C4—24no—
2158C22⋊C4—24no—
2159C22⋊C4—24no—
2160C22⋊C4—22no—
2161C22⋊C4—22no—
2162C22⋊C4—22no—
2163C22⋊C4—24no—
2164C22⋊C4—22no—
2165C22⋊C4—22no—
2166C22⋊C4—24no—
2167C22⋊C4—24no—
2168C22⋊C4—22no—
2169C22⋊C4—24no—
2170C22⋊C4—22no—
2171C22⋊C4—24no—
2172C22⋊C4—22no—
2173C22⋊C4—22no—
2174C22⋊C4—24no—
2175C22⋊C4—24no—
2176C22⋊C4—24no—
2177C22⋊C4—22no—
2178C22⋊C4—22no—
2179C22⋊C4—22no—
2180C22⋊C4—24no—
2181C22⋊C4—22no—
2182C22⋊C4—42no—
2183C22⋊C4—41no—
2184C22⋊C4—42no—
2185C22⋊C4—42no—
2186C22⋊C4—42no—
2187C22⋊C4—42no—
2188C22⋊C4—42no—
2189C22⋊C4—41no—
2190C22⋊C4—41no—
2191C22⋊C4—41no—
2192C22⋊C4—41no—
2193C22⋊C4—41no—
2194C22⋊C4—41no—
2195C22⋊C4—42no—
2196C22⋊C4—41no—
2197C22⋊C4—42no—
2198C22⋊C4—42no—
2199C22⋊C4—42no—
2200C22⋊C4—42no—
2201C22⋊C4—42no—
2202C22⋊C4—42no—
2203C22⋊C4—42no—
2204C22⋊C4—42no—
2205C22⋊C4—42no—
2206C22⋊C4—42no—
2207C22⋊C4—42no—
2208C22⋊C4—42no—
2209C22⋊C4—42no—
2210C22⋊C4—41no—
2211C22⋊C4—42no—
2212C22⋊C4—42no—
2213C22⋊C4—42no—
2214C22⋊C4—41no—
2215C22⋊C4—42no—
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⋊C4C2×#4114yes—
2225C22⋊C4C2×#4118yes—
2226C22⋊C4C2×#4114yes—
2227C22⋊C4C2×#4114yes—
2228C42—22no—
2229C42—22no—
2230C42—24no—
2231C42—22no—
2232C42—24no—
2233C42—24no—
2234C42—22no—
2235C42—24no—
2236C42—24no—
2237C42—22no—
2238C42—22no—
2239C42—24no—
2240C42—24no—
2241C42—24no—
2242C42—24no—
2243C42—24no—
2244C42—24no—
2245C42—24no—
2246C42—24no—
2247C42—22no—
2248C42—22no—
2249C42—22no—
2250C42—22no—
2251C42—24no—
2252C42—22no—
2253C42—22no—
2254C42—24no—
2255C42—22no—
2256C42—22no—
2257C42—22no—
2258C42—24no—
2259C42—22no—
2260C42—22no—
2261C42—24no—
2262C42—22no—
2263C42—41no—
2264C42—41no—
2265C42—42no—
2266C42—42no—
2267C42—42no—
2268C42—41no—
2269C42—41no—
2270C42—41no—
2271C42—42no—
2272C42—41no—
2273C42—41no—
2274C42—41no—
2275C42—42no—
2276C42—41no—
2277C42—42no—
2278C42—41no—
2279C42—41no—
2280C42—42no—
2281C42—41no—
2282C42—42no—
2283C42—41no—
2284C42—42no—
2285C42—42no—
2286C42—42no—
2287C42—41no—
2288C42—42no—
2289C42—41no—
2290C42C2×#4118yes—
2291C42C2×#4114yes—
2292C42C2×#4114yes—
2293C23—21no—
2294C23—21no—
2295C23—22no—
2296C23—22no—
2297C23—21no—
2298C23—21no—
2299C23—22no—
2300C23—21no—
2301C23—21no—
2302C23—21no—
2303C23—22no—
2304C23—21no—
2305C23—22no—
2306C23—21no—
2307C23—21no—
2308C23—21no—
2309C23—22no—
2310C23—21no—
2311C23—21no—
2312C23—22no—
2313C23—21no—
2314C23—21no—
2315C23—21no—
2316C23—21no—
2317C23—22no—
2318C23—21no—
2319C23—22no—
2320C23—21no—
2321C23—21no—
2322C23—22no—
2323C23—22no—
2324C23—21no—
2325C23—21no—
2326C23—21no—
2327C23—22no—
2328C23—21no—
2329C23—21no—
2330C23—22no—
2331C23—21no—
2332C23C22×#4112yes—
2333C23C22×#4114yes—
2334C23C22×#4112yes—
2335C23C2611yescharacteristic
2336Q8—28no—
2337Q8—84no—
2338Q8—84no—
2339D4—28no—
2340D4—48no—
2341D4—44no—
2342D4—44no—
2343D4—48no—
2344D4—44no—
2345D4—48no—
2346D4—48no—
2347D4—48no—
2348D4—44no—
2349D4—44no—
2350D4—84no—
2351D4—82no—
2352D4—84no—
2353D4—84no—
2354D4—82no—
2355D4—84no—
2356D4—162no—
2357C2×C4—21no—
2358C2×C4—22no—
2359C2×C4—21no—
2360C2×C4—21no—
2361C2×C4—21no—
2362C2×C4—21no—
2363C2×C4—21no—
2364C2×C4—22no—
2365C2×C4—21no—
2366C2×C4—21no—
2367C2×C4—22no—
2368C2×C4—21no—
2369C2×C4—21no—
2370C2×C4—22no—
2371C2×C4—21no—
2372C2×C4—21no—
2373C2×C4—21no—
2374C2×C4—21no—
2375C2×C4—21no—
2376C2×C4—21no—
2377C2×C4—21no—
2378C2×C4—21no—
2379C2×C4—22no—
2380C2×C4—21no—
2381C2×C4—21no—
2382C2×C4—21no—
2383C2×C4—22no—
2384C2×C4—21no—
2385C2×C4—28no—
2386C2×C4—21no—
2387C2×C4—21no—
2388C2×C4—22no—
2389C2×C4—21no—
2390C2×C4—22no—
2391C2×C4—22no—
2392C2×C4—21no—
2393C2×C4—22no—
2394C2×C4—21no—
2395C2×C4—22no—
2396C2×C4—21no—
2397C2×C4—22no—
2398C2×C4—22no—
2399C2×C4—22no—
2400C2×C4—21no—
2401C2×C4—21no—
2402C2×C4—22no—
2403C2×C4—21no—
2404C2×C4—21no—
2405C2×C4—21no—
2406C2×C4—21no—
2407C2×C4—22no—
2408C2×C4—22no—
2409C2×C4—21no—
2410C2×C4—21no—
2411C2×C4—22no—
2412C2×C4—21no—
2413C2×C4—22no—
2414C2×C4—21no—
2415C2×C4—21no—
2416C2×C4—21no—
2417C2×C4—22no—
2418C2×C4—21no—
2419C2×C4—21no—
2420C2×C4—22no—
2421C2×C4—21no—
2422C2×C4—21no—
2423C2×C4—22no—
2424C2×C4—21no—
2425C2×C4—22no—
2426C2×C4—21no—
2427C2×C4—22no—
2428C2×C4—21no—
2429C2×C4—21no—
2430C2×C4—21no—
2431C2×C4—21no—
2432C2×C4—22no—
2433C2×C4—21no—
2434C2×C4—21no—
2435C2×C4—22no—
2436C2×C4—22no—
2437C2×C4—21no—
2438C2×C4—21no—
2439C2×C4—21no—
2440C2×C4—22no—
2441C2×C4—22no—
2442C2×C4—21no—
2443C2×C4—21no—
2444C2×C4—22no—
2445C2×C4—22no—
2446C2×C4—22no—
2447C2×C4—21no—
2448C2×C4—21no—
2449C2×C4—22no—
2450C2×C4—21no—
2451C2×C4—22no—
2452C2×C4—21no—
2453C2×C4—22no—
2454C2×C4—22no—
2455C2×C4—21no—
2456C2×C4—21no—
2457C2×C4—22no—
2458C2×C4—21no—
2459C2×C4—21no—
2460C2×C4—21no—
2461C2×C4—21no—
2462C2×C4—22no—
2463C2×C4—22no—
2464C2×C4—44no—
2465C2×C4—48no—
2466C2×C4—48no—
2467C2×C4—44no—
2468C2×C4—44no—
2469C2×C4—48no—
2470C2×C4—48no—
2471C2×C4—48no—
2472C2×C4—48no—
2473C2×C4—44no—
2474C2×C4—44no—
2475C2×C4—44no—
2476C2×C4—84no—
2477C2×C4—82no—
2478C2×C4—82no—
2479C2×C4—84no—
2480C2×C4—82no—
2481C2×C4—84no—
2482C2×C4—82no—
2483C2×C4—82no—
2484C2×C4—84no—
2485C2×C4—82no—
2486C2×C4—84no—
2487C2×C4—82no—
2488C2×C4—84no—
2489C2×C4—82no—
2490C2×C4—82no—
2491C2×C4C22×#4112yes—
2492C2×C4C22×#4114yes—
2493C2×C4C22×#4112yes—
2494C2×C4C22×#4112yes—
2495C2×C4C22×#4112yes—
2496C2×C4C22×#4112yes—
2497C2×C4C22×#4112yes—
2498C2×C4C22×#4112yes—
2499C2×C4C22×#4114yes—
2500C2×C4C22×#4112yes—
2501C2×C4C22×#4114yes—
2502C2×C4C22×#4112yes—
2503C2×C4C22×#4112yes—
2504C2×C4C22×#4112yes—
2505C2×C4#58512yes—
2506C2×C4#58512yes—
2507C2×C4#58512yes—
2508C22—24no—
2509C22—22no—
2510C22—22no—
2511C22—22no—
2512C22—24no—
2513C22—22no—
2514C22—24no—
2515C22—22no—
2516C22—22no—
2517C22—41no—
2518C22—41no—
2519C22—42no—
2520C22—42no—
2521C22—41no—
2522C22—41no—
2523C22—41no—
2524C22—41no—
2525C22—42no—
2526C22—41no—
2527C22—42no—
2528C22—41no—
2529C22—41no—
2530C22—42no—
2531C22—41no—
2532C22—41no—
2533C22—41no—
2534C22—42no—
2535C22—41no—
2536C22—42no—
2537C22—41no—
2538C22—41no—
2539C22—42no—
2540C22—41no—
2541C22—42no—
2542C22—41no—
2543C22—41no—
2544C22—42no—
2545C22—41no—
2546C22—41no—
2547C22—42no—
2548C22—41no—
2549C22—41no—
2550C22C23×#4111yescharacteristic
2551C22C23×#4111yescharacteristic
2552C22C23×#4111yescharacteristic
2553C22C2×#58511yescharacteristic
2554C22C2×#58511yescharacteristic
2555C22C2×#58511yescharacteristic
2556C22H(7,𝔽2)11yescharacteristic
2557C4—24no—
2558C4—22no—
2559C4—22no—
2560C4—22no—
2561C4—22no—
2562C4—22no—
2563C4—22no—
2564C4—24no—
2565C4—22no—
2566C4—24no—
2567C4—22no—
2568C4—22no—
2569C4—22no—
2570C4—22no—
2571C4—42no—
2572C4—41no—
2573C4—41no—
2574C4—42no—
2575C4—41no—
2576C4—41no—
2577C4—41no—
2578C4—41no—
2579C4—42no—
2580C4—42no—
2581C4—42no—
2582C4—41no—
2583C4—42no—
2584C4—42no—
2585C4—41no—
2586C4—41no—
2587C4—41no—
2588C4—41no—
2589C4—42no—
2590C4—41no—
2591C4—41no—
2592C4—41no—
2593C4—42no—
2594C4—42no—
2595C4—41no—
2596C4—42no—
2597C4#347514yes—
2598C2—44no—
2599C2—42no—
2600C2—42no—
2601C2—81no—
2602C2—81no—
2603C2—82no—
2604C2C2×#347511yescharacteristic
2605C2#41211yescharacteristic
2606C2#41211yescharacteristic
2607C2#6299211yescharacteristic
2608C2#6299411yescharacteristic
2609C2#6300611yescharacteristic
2610C2#6302711yescharacteristic
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. #60003C2semidirect
2. #59887C2semidirect
3. #59810C2semidirect
4. #59770C2semidirect
5. #59601C2semidirect
6. #59542C2semidirect
7. #59517C2semidirect
8. #59513C2semidirect
9. #59505C2semidirect
10. #59499C2semidirect
11. #59446C2semidirect
12. #59381C2semidirect
13. #59377C2semidirect
14. #59364C2semidirect
15. #59341C2semidirect
16. #59315C2semidirect
17. #59236C2semidirect
18. #59163C2semidirect
19. #36570C2semidirect
20. #36522C2semidirect
21. #36503C2semidirect
22. #36502C2semidirect
23. #36501C2semidirect
24. #36498C2semidirect
25. #36417C2semidirect
26. #36414C2semidirect
27. #36401C2semidirect
28. #36381C2semidirect
29. #36349C2semidirect
30. #36327C2semidirect
31. #36315C2semidirect
32. #36283C2semidirect
33. #36257C2semidirect
34. #36251C2semidirect
35. #36228C2semidirect
36. #36228C2semidirect
37. #36201C2semidirect
38. #36197C2semidirect
39. #36113C2semidirect
40. C4×#555C2semidirect
41. C4×#553C2semidirect
42. C4×#553C2semidirect
43. C4×#552C2semidirect
44. C4×#550C2semidirect
45. #34149C2semidirect
46. #34123C2semidirect
47. #34121C2semidirect
1368. #126#41semidirect

Maximal subgroups

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

subgroupindex
#600032
#598872
#598102
#597702
#596012
#595422
#595172
#595132
#595052
#594992
#594462
#593812
#593772
#593642
#593412
#593152
#592362
#591632
#365702
#365222
#365032
#365022
#365012
#364982
#364172
#364142
#364012
#363812
#363492
#363272
#363152
#362832
#362572
#362512
#362282
#362012
#361972
#361132
C4×#5552
C4×#5532
C4×#5522
C4×#5502
#341492
#341232
#341212