Finite Group Databasebeta

← #7680531

Subgroups — #7680531

Order 512.

4635 conjugacy classes of subgroups.

The subgroup lattice has 2451 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59961C211yesmaximal, characteristic, complemented
2#59842C211yesmaximal, characteristic, complemented
3#59766C211yesmaximal, characteristic, complemented
4#59713C211yesmaximal, characteristic, complemented
5#59583C211yesmaximal, characteristic, complemented
6#59565C211yesmaximal, characteristic, complemented
7#59505C211yesmaximal, characteristic, complemented
8#59497C211yesmaximal, characteristic, complemented
9#59487C211yesmaximal, characteristic
10#59486C211yesmaximal, characteristic, complemented
11#59478C211yesmaximal, characteristic
12#59475C211yesmaximal, characteristic, complemented
13#59463C211yesmaximal, characteristic, complemented
14#59459C211yesmaximal, characteristic, complemented
15#59446C211yesmaximal, characteristic, complemented
16#59436C211yesmaximal, characteristic, complemented
17#44867C212yesmaximal, complemented
18#44858C212yesmaximal, complemented
19#44809C212yesmaximal, complemented
20#44769C212yesmaximal, complemented
21#44723C212yesmaximal, complemented
22#44630C212yesmaximal, complemented
23#44531C212yesmaximal, complemented
24#44488C212yesmaximal, complemented
25#40273C212yesmaximal, complemented
26#39977C211yesmaximal, characteristic, complemented
27#39949C211yesmaximal, characteristic, complemented
28#39939C212yesmaximal, complemented
29#39927C211yesmaximal, characteristic, complemented
30#39925C211yesmaximal, characteristic, complemented
31#38657C212yesmaximal, complemented
32#38403C212yesmaximal, complemented
33#36485C211yesmaximal, characteristic, complemented
34#36437C211yesmaximal, characteristic
35#36286C211yesmaximal, characteristic, complemented
36#36219C211yesmaximal, characteristic, complemented
37#35509C212yesmaximal, complemented
38#35486C212yesmaximal, complemented
39#35137C211yesmaximal, characteristic, complemented
40#35124C212yesmaximal, complemented
41#34920C211yesmaximal, characteristic, complemented
42#34902C211yesmaximal, characteristic, complemented
43#34331C211yesmaximal, characteristic, complemented
44#34317C211yesmaximal, characteristic, complemented
45#34297C212yesmaximal, complemented
46#34129C211yesmaximal, characteristic, complemented
47C4×#541C211yesmaximal, characteristic, complemented
48C2×#559C2211yescharacteristic
49C2×#554C2211yescharacteristic
50C2×#552C2212yes—
51C2×#541C2211yescharacteristic
52C2×C4×#41C2211yescharacteristic
53#2865C2212yes—
54#2863C2212yes—
55#2862C2211yescharacteristic
56#2861C2211yescharacteristic
57#2855C2212yes—
58#2853C2212yes—
59#2851C2211yescharacteristic
60#2850C2211yescharacteristic
61#2794C2212yes—
62#2793C2212yes—
63#2792C2212yes—
64#2792C2212yes—
65#2790C2212yes—
66#2788C2212yes—
67#2788C2212yes—
68#2779C2212yes—
69#2776C2212yes—
70#2775C2212yes—
71#2775C2212yes—
72#2772C2212yes—
73#2770C2212yes—
74#2767C2212yes—
75#2767C2212yes—
76#2765C2212yes—
77#2763C2212yes—
78#2763C2212yes—
79#2762C2212yes—
80#2761C2212yes—
81#2759C2212yes—
82#2757C2212yes—
83#2756C2212yes—
84#2751C2212yes—
85#2747C2212yes—
86#2745C2212yes—
87#2745C2212yes—
88#2745C2212yes—
89#2739C2212yes—
90#2739C2212yes—
91#2737C2212yes—
92#2737C2212yes—
93#2729C2212yes—
94#2727C2212yes—
95#2721C2212yes—
96#2719C2212yes—
97#2717C2212yes—
98#2707C2212yes—
99#2707C2212yes—
100#2705C2212yes—
101#2704C2212yes—
102#2704C2212yes—
103#2702C2212yes—
104#2702C2212yes—
105#2700C2212yes—
106#2687C2212yes—
107#2680C2212yes—
108#2674C2212yes—
109#2665C2212yes—
110#2663C2212yes—
111#2655C2212yes—
112#2653C2212yes—
113#2650C2212yes—
114#2650C2212yes—
115#2611C2212yes—
116#2610C2212yes—
117#2610C2212yes—
118#2609C2212yes—
119#2606C2212yes—
120#2605C2212yes—
121#2605C2212yes—
122#2605C2212yes—
123#2604C2212yes—
124#2602C2212yes—
125#2602C2212yes—
126#2601C2212yes—
127#2601C2212yes—
128#2601C2212yes—
129#2600C2212yes—
130#2599C2212yes—
131#2599C2212yes—
132#2597C2212yes—
133#2596C2212yes—
134#2596C2212yes—
135#2595C2212yes—
136#2594C2212yes—
137#2594C2212yes—
138#2594C2212yes—
139#2594C2212yes—
140#2592C2211yescharacteristic
141#2590C2212yes—
142#2589C2212yes—
143#2588C2212yes—
144#2588C2212yes—
145#2588C2212yes—
146#2587C2212yes—
147#2587C2212yes—
148#2586C2212yes—
149#2586C2212yes—
150#2584C2211yescharacteristic
151#2584C2212yes—
152#2581C2211yescharacteristic
153#2581C2211yescharacteristic
154#2579C2212yes—
155#2575C2212yes—
156#2573C2212yes—
157#2572C2212yes—
158#2570C2212yes—
159#2570C2211yescharacteristic
160#2570C2211yescharacteristic
161#2570C2211yescharacteristic
162#2570C2211yescharacteristic
163#2568C2211yescharacteristic
164#2567C2212yes—
165#2567C2211yescharacteristic
166#2567C2211yescharacteristic
167#2566C2211yescharacteristic
168#2566C2211yescharacteristic
169#2565C2211yescharacteristic
170#2564C2212yes—
171#2564C2212yes—
172#2563C2211yescharacteristic
173#2560C2212yes—
174#2558C2212yes—
175#2557C2212yes—
176#2556C2212yes—
177#2556C2212yes—
178#2552C2211yescharacteristic
179#2551C2211yescharacteristic
180#2550C2212yes—
181#2550C2211yescharacteristic
182#2550C2211yescharacteristic
183#2545C2212yes—
184#2545C2211yescharacteristic
185#2533C2212yes—
186#2533C2212yes—
187#2533C2212yes—
188#2532C2212yes—
189#2532C2212yes—
190#2532C2212yes—
191#2529C2212yes—
192#2529C2212yes—
193#2528C2212yes—
194#2527C2212yes—
195#2527C2212yes—
196#2527C2212yes—
197#2527C2212yes—
198#2526C2212yes—
199#2526C2212yes—
200#2526C2212yes—
201#2525C2212yes—
202#2521C2212yes—
203#2520C2212yes—
204#2519C2212yes—
205#2519C2212yes—
206#2515C2212yes—
207#2514C2212yes—
208#2514C2211yescharacteristic
209#2514C2211yescharacteristic
210#2514C2211yescharacteristic
211#2513C2211yescharacteristic
212#2512C2211yescharacteristic
213#2512C2211yescharacteristic
214#2512C2211yescharacteristic
215#2511C2211yescharacteristic
216#2511C2212yes—
217#2509C2211yescharacteristic
218#2508C2211yescharacteristic
219#2508C2211yescharacteristic
220#2506C2212yes—
221#2506C2211yescharacteristic
222#2506C2211yescharacteristic
223#2506C2211yescharacteristic
224#2505C2212yes—
225#2505C2212yes—
226#2499C2212yes—
227#2498C2212yes—
228#2497C2212yes—
229#2497C2211yescharacteristic
230#2497C2211yescharacteristic
231#2495C2212yes—
232#2495C2211yescharacteristic
233#2494C2212yes—
234#2494C2211yescharacteristic
235#2493C2212yes—
236#2492C2211yescharacteristic
237#2491C2211yescharacteristic
238#2491C2211yescharacteristic
239#2489C2212yes—
240#2489C2211yescharacteristic
241#2488C2212yes—
242#2481C2212yes—
243#2477C2212yes—
244#2477C2212yes—
245#2475C2212yes—
246#2475C2212yes—
247#2475C2212yes—
248#2475C2212yes—
249#2474C2212yes—
250#2474C2212yes—
251#2474C2212yes—
252#2474C2212yes—
253#2470C2212yes—
254#2470C2212yes—
255#2469C2212yes—
256#2469C2212yes—
257#2468C2212yes—
258#2467C2212yes—
259#2462C2212yes—
260#2461C2212yes—
261#2461C2212yes—
262#2460C2212yes—
263#2460C2212yes—
264#2458C2212yes—
265#2458C2212yes—
266#2457C2212yes—
267#2454C2211yescharacteristic
268#2453C2211yescharacteristic
269#2453C2211yescharacteristic
270#2453C2211yescharacteristic
271#2452C2211yescharacteristic
272#2452C2211yescharacteristic
273#2452C2211yescharacteristic
274#2452C2211yescharacteristic
275#2451C2211yescharacteristic
276#2451C2211yescharacteristic
277#2451C2212yes—
278#2451C2211yescharacteristic
279#2451C2211yescharacteristic
280#2450C2212yes—
281#2449C2212yes—
282#2448C2211yescharacteristic
283#2448C2211yescharacteristic
284#2447C2211yescharacteristic
285#2447C2211yescharacteristic
286#2447C2211yescharacteristic
287#2446C2211yescharacteristic
288#2446C2211yescharacteristic
289#2445C2211yescharacteristic
290#2445C2211yescharacteristic
291#2445C2211yescharacteristic
292#2442C2212yes—
293#2441C2211yescharacteristic
294#2439C2212yes—
295#2439C2212yes—
296#2439C2211yescharacteristic
297#2438C2212yes—
298#2438C2212yes—
299#2438C2212yes—
300#2438C2212yes—
301#2432C2211yescharacteristic
302#2431C2211yescharacteristic
303#2422C2211yescharacteristic
304#2421C2212yes—
305#2421C2211yescharacteristic
306#2421C2211yescharacteristic
307#2420C2211yescharacteristic
308#2419C2212yes—
309#2415C2212yes—
310#2413C2212yes—
311#2402C2212yes—
312#2401C2212yes—
313#2399C2212yes—
314#2396C2212yes—
315#2373C2212yes—
316#2373C2212yes—
317#2371C2212yes—
318#2371C2212yes—
319#2370C2211yescharacteristic
320#2370C2211yescharacteristic
321#2370C2212yes—
322#2369C2211yescharacteristic
323#2369C2211yescharacteristic
324#2368C2212yes—
325#2368C2212yes—
326#2367C2211yescharacteristic
327#2367C2211yescharacteristic
328#2367C2212yes—
329#2367C2211yescharacteristic
330#2367C2211yescharacteristic
331#2366C2211yescharacteristic
332#2365C2211yescharacteristic
333#2365C2211yescharacteristic
334#2365C2211yescharacteristic
335#2363C2211yescharacteristic
336#2362C2212yes—
337#2362C2212yes—
338#2362C2212yes—
339#2362C2211yescharacteristic
340#2359C2212yes—
341#2359C2212yes—
342#2359C2212yes—
343#2359C2212yes—
344#2357C2211yescharacteristic
345#2357C2211yescharacteristic
346#2357C2211yescharacteristic
347#2356C2211yescharacteristic
348#2356C2212yes—
349#2356C2211yescharacteristic
350#2355C2211yescharacteristic
351#2355C2211yescharacteristic
352#2355C2211yescharacteristic
353#2354C2212yes—
354#2354C2211yescharacteristic
355#2354C2211yescharacteristic
356#2354C2212yes—
357#2354C2211yescharacteristic
358#2354C2212yes—
359#2353C2212yes—
360Q8×C4⋊C4C2211yescharacteristic
361Q8×C4⋊C4C2211yescharacteristic
362Q8×C4⋊C4C2211yescharacteristic
363#2349C2211yescharacteristic
364#2349C2211yescharacteristic
365#2349C2211yescharacteristic
366D4×C4⋊C4C2211yescharacteristic
367#2346C2212yes—
368#2346C2212yes—
369#2346C2211yescharacteristic
370#2346C2211yescharacteristic
371#2344C2212yes—
372#2344C2212yes—
373#2343C2212yes—
374#2343C2212yes—
375#2343C2212yes—
376#2341C2211yescharacteristic
377#2341C2211yescharacteristic
378#2339C2211yescharacteristic
379#2339C2211yescharacteristic
380#2337C2212yes—
381#2336C2211yescharacteristic
382#2336C2211yescharacteristic
383#2336C2212yes—
384#2336C2211yescharacteristic
385#2336C2211yescharacteristic
386#2335C2212yes—
387#2335C2212yes—
388#2334C2211yescharacteristic
389#2334C2212yes—
390#2334C2211yescharacteristic
391#2334C2211yescharacteristic
392#2334C2211yescharacteristic
393#2332C2212yes—
394#2332C2212yes—
395#2332C2212yes—
396#2330C2211yescharacteristic
397#2329C2212yes—
398#2327C2211yescharacteristic
399#2326C2212yes—
400#2323C2212yes—
401#2323C2211yescharacteristic
402#2323C2211yescharacteristic
403#2322C2212yes—
404#2320C2211yescharacteristic
405#2320C2211yescharacteristic
406#2314C2211yescharacteristic
407C4×C4⋊Q8C2211yescharacteristic
408C4×C4⋊Q8C2211yescharacteristic
409C4×C4⋊Q8C2211yescharacteristic
410C4×C4⋊Q8C2211yescharacteristic
411C4×#127C2211yescharacteristic
412C4×#125C2211yescharacteristic
413C4×#125C2211yescharacteristic
414C4×#125C2211yescharacteristic
415C4×#125C2211yescharacteristic
416C4×#125C2211yescharacteristic
417C4×#125C2211yescharacteristic
418C4×#125C2211yescharacteristic
419C4×#125C2211yescharacteristic
420C4×#125C2212yes—
421C4×#126C2211yescharacteristic
422C4×#126C2211yescharacteristic
423C4×#126C2211yescharacteristic
424C4×#126C2211yescharacteristic
425C4×#126C2212yes—
426C4×#126C2212yes—
427C4×#124C2211yescharacteristic
428C4×#124C2211yescharacteristic
429C4×#124C2211yescharacteristic
430C4×C22⋊Q8C2211yescharacteristic
431C4×C22⋊Q8C2211yescharacteristic
432C4×#123C2212yes—
433#2298C2212yes—
434#2295C2212yes—
435#2295C2211yescharacteristic
436#2295C2212yes—
437#2295C2211yescharacteristic
438#2295C2211yescharacteristic
439#2295C2211yescharacteristic
440#2293C2212yes—
441#2293C2211yescharacteristic
442#2293C2211yescharacteristic
443#2293C2211yescharacteristic
444#2293C2211yescharacteristic
445#2293C2211yescharacteristic
446#2293C2212yes—
447#2293C2211yescharacteristic
448C2×#387C2212yes—
449#2285C2212yes—
450#2285C2211yescharacteristic
451#2275C2212yes—
452#2274C2212yes—
453C42×Q8C2211yescharacteristic
454C42×Q8C2211yescharacteristic
455C42×Q8C2211yescharacteristic
456C42×Q8C2211yescharacteristic
457C4×#117C2211yescharacteristic
458C4×#117C2212yes—
459C22×#41C2311yescharacteristic
460#559—28no—
461#554—28no—
462#552—216no—
463#541—28no—
464C2×C4⋊Q8C2311yescharacteristic
465C2×C4⋊Q8C2311yescharacteristic
466C2×C4⋊Q8C2311yescharacteristic
467C2×C4⋊Q8C2311yescharacteristic
468C2×C4⋊Q8C2311yescharacteristic
469C2×C4⋊Q8C2311yescharacteristic
470C2×C4⋊Q8C2312yes—
471C2×#127C2311yescharacteristic
472C2×#126C2311yescharacteristic
473C2×#126C2311yescharacteristic
474C2×#126C2311yescharacteristic
475C2×#126C2311yescharacteristic
476C2×#126C2312yes—
477C2×#126C2312yes—
478C2×#126C2312yes—
479C2×#125C2311yescharacteristic
480C2×#125C2311yescharacteristic
481C2×#125C2311yescharacteristic
482C2×#125C2311yescharacteristic
483C2×#125C2311yescharacteristic
484C2×#125C2311yescharacteristic
485C2×#125C2312yes—
486C2×#125C2312yes—
487C2×#125C2311yescharacteristic
488C2×#125C2312yes—
489C2×#125C2312yes—
490C2×#125C2311yescharacteristic
491C2×#124C2312yes—
492C2×#124C2311yescharacteristic
493C2×#124C2311yescharacteristic
494C2×#124C2311yescharacteristic
495C2×#124C2312yes—
496C2×#124C2312yes—
497C2×#123C2312yes—
498C2×#123C2312yes—
499C2×#123C2312yes—
500C2×#123C2312yes—
501C2×#123C2312yes—
502C2×#123C2312yes—
503C2×C22⋊Q8C2312yes—
504C2×C22⋊Q8C2312yes—
505C2×C22⋊Q8C2312yes—
506C2×C22⋊Q8C2311yescharacteristic
507C2×C22⋊Q8C2311yescharacteristic
508C2×C22⋊Q8C2312yes—
509C2×C22⋊Q8C2312yes—
510C2×C22⋊Q8C2311yescharacteristic
511C2×C22⋊Q8C2312yes—
512C2×C22⋊Q8C2312yes—
513C2×#121C2311yescharacteristic
514C4×#41—28no—
515C2×C4×Q8C2311yescharacteristic
516C2×C4×Q8C2311yescharacteristic
517C2×C4×Q8C2311yescharacteristic
518C2×C4×Q8C2311yescharacteristic
519C2×C4×Q8C2311yescharacteristic
520C2×C4×Q8C2311yescharacteristic
521C2×C4×Q8C2311yescharacteristic
522C2×C4×Q8C2311yescharacteristic
523C2×C4×Q8C2311yescharacteristic
524C2×C4×Q8C2312yes—
525C2×C4×Q8C2311yescharacteristic
526C2×C4×Q8C2312yes—
527C2×C4×Q8C2311yescharacteristic
528C2×C4×Q8C2311yescharacteristic
529C2×C4×Q8C2311yescharacteristic
530C2×C4×Q8C2311yescharacteristic
531C2×C4×Q8C2311yescharacteristic
532C2×C4×Q8C2312yes—
533C2×C4×D4C2312yes—
534C2×C4×D4C2312yes—
535C2×C4×D4C2311yescharacteristic
536C2×C4×D4C2311yescharacteristic
537C2×C4×D4C2311yescharacteristic
538C2×C4×D4C2311yescharacteristic
539C2×C4×D4C2312yes—
540C2×C4×D4C2312yes—
541C2×C4×D4C2311yescharacteristic
542C2×C4×D4C2311yescharacteristic
543C2×C4×D4C2312yes—
544C2×C4×D4C2311yescharacteristic
545C2×C4×D4C2311yescharacteristic
546C2×C4×D4C2312yes—
547C2×C4×D4C2311yescharacteristic
548C2×#117C2311yescharacteristic
549C2×#117C2312yes—
550C2×#117C2312yes—
551C2×#117C2312yes—
552C2×#117C2311yescharacteristic
553C2×#117C2312yes—
554C2×#117C2311yescharacteristic
555C2×#117C2312yes—
556C2×#117C2312yes—
557C2×#117C2312yes—
558C2×#117C2312yes—
559C2×#117C2312yes—
560C2×#117C2312yes—
561C2×#117C2312yes—
562C22×C4⋊C4C2312yes—
563C22×C4⋊C4C2312yes—
564C22×C42C2311yescharacteristic
565C22×C42C2312yes—
566#401C2312yes—
567#401C2312yes—
568#401C2312yes—
569#401C2312yes—
570#400C2312yes—
571#400C2312yes—
572#400C2312yes—
573#400C2312yes—
574#400C2312yes—
575#400C2312yes—
576#400C2312yes—
577#400C2312yes—
578#400C2312yes—
579#400C2312yes—
580#400C2312yes—
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#399C2312yes—
603#399C2312yes—
604#399C2312yes—
605#399C2312yes—
606#398C2312yes—
607#398C2312yes—
608#398C2312yes—
609#398C2312yes—
610#398C2312yes—
611#398C2312yes—
612#398C2312yes—
613#398C2312yes—
614#398C2312yes—
615#398C2312yes—
616#398C2312yes—
617#398C2312yes—
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#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
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#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
680#395C2312yes—
681#395C2312yes—
682#395C2312yes—
683#395C2312yes—
684#395C2312yes—
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#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#392C2312yes—
709#392C2312yes—
710#391C2312yes—
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715#391C2312yes—
716#391C2312yes—
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720#391C2312yes—
721#391C2312yes—
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724#391C2311yescharacteristic
725#391C2312yes—
726#391C2312yes—
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729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2311yescharacteristic
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
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747#391C2312yes—
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751#390C2312yes—
752#390C2312yes—
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761#390C2312yes—
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763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
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768#390C2312yes—
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780#389C2312yes—
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786#389C2312yes—
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790#389C2312yes—
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797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
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809#389C2312yes—
810#389C2312yes—
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813#389C2312yes—
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816#389C2312yes—
817#389C2312yes—
818#389C2312yes—
819#389C2312yes—
820#389C2312yes—
821#389C2312yes—
822#389C2312yes—
823#389C2312yes—
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825#389C2311yescharacteristic
826#389C2312yes—
827#389C2312yes—
828#389C2312yes—
829#389C2311yescharacteristic
830#389C2312yes—
831#389C2312yes—
832#389C2312yes—
833#389C2312yes—
834#389C2311yescharacteristic
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837#389C2312yes—
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848#388C2312yes—
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858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
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—
905#388C2312yes—
906#388C2312yes—
907#388C2312yes—
908#388C2312yes—
909#388C2312yes—
910#388C2312yes—
911#388C2312yes—
912#388C2312yes—
913#388C2312yes—
914#388C2312yes—
915#388C2312yes—
916#388C2312yes—
917#388C2312yes—
918#388C2312yes—
919#388C2312yes—
920#388C2312yes—
921#388C2312yes—
922#388C2312yes—
923#388C2312yes—
924#388C2312yes—
925#388C2312yes—
926#388C2312yes—
927#388C2312yes—
928#388C2312yes—
929#388C2312yes—
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969#387C2312yes—
970#387C2312yes—
971#387C2312yes—
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974#387C2312yes—
975#387C2312yes—
976#387C2312yes—
977#387C2312yes—
978#387C2312yes—
979#387C2312yes—
980#387C2312yes—
981#387C2312yes—
982#387C2312yes—
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1002#387C2312yes—
1003#387C2312yes—
1004#387C2312yes—
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1009#387C2312yes—
1010#387C2312yes—
1011#387C2312yes—
1012#387C2312yes—
1013#387C2312yes—
1014#387C2312yes—
1015#387C2312yes—
1016#387C2312yes—
1017#387C2312yes—
1018#387C2312yes—
1019#387C2312yes—
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1021#387C2312yes—
1022#387C2312yes—
1023#387C2312yes—
1024#387C2312yes—
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1028#387C2312yes—
1029#387C2312yes—
1030#387C2312yes—
1031#387C2312yes—
1032#387C2312yes—
1033#387C2312yes—
1034#387C2312yes—
1035#387C2312yes—
1036#387C2312yes—
1037#387C2312yes—
1038#387C2312yes—
1039#387C2312yes—
1040#387C2312yes—
1041#387C2312yes—
1042#387C2312yes—
1043#387C2312yes—
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1047#386C2312yes—
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1052#386C2312yes—
1053#386C2312yes—
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1055#386C2312yes—
1056#386C2312yes—
1057#386C2312yes—
1058#386C2312yes—
1059#386C2312yes—
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1063#385C2312yes—
1064#385C2312yes—
1065#385C2312yes—
1066#385C2312yes—
1067#385C2312yes—
1068#385C2312yes—
1069#385C2312yes—
1070#385C2312yes—
1071#385C2312yes—
1072#385C2312yes—
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1074#385C2312yes—
1075#385C2312yes—
1076#385C2312yes—
1077#385C2312yes—
1078#385C2312yes—
1079#385C2312yes—
1080#385C2312yes—
1081#385C2312yes—
1082#385C2312yes—
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1085#385C2312yes—
1086#385C2312yes—
1087#385C2312yes—
1088#385C2312yes—
1089#385C2312yes—
1090#385C2312yes—
1091#385C2312yes—
1092#385C2312yes—
1093#385C2312yes—
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1100#384C2312yes—
1101#384C2312yes—
1102#384C2312yes—
1103#384C2311yescharacteristic
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1108#383C2312yes—
1109#383C2312yes—
1110#383C2312yes—
1111#383C2312yes—
1112#383C2312yes—
1113#383C2312yes—
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1122#382C2312yes—
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1128#382C2312yes—
1129#382C2312yes—
1130#382C2312yes—
1131#382C2312yes—
1132#382C2312yes—
1133#382C2312yes—
1134#381C2312yes—
1135#381C2312yes—
1136#381C2312yes—
1137#381C2312yes—
1138#381C2312yes—
1139#381C2312yes—
1140#381C2312yes—
1141#381C2312yes—
1142#381C2312yes—
1143#380C2312yes—
1144#380C2312yes—
1145#380C2312yes—
1146#380C2312yes—
1147#380C2312yes—
1148#380C2312yes—
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1152#380C2312yes—
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1158#380C2312yes—
1159#380C2312yes—
1160#380C2312yes—
1161#380C2312yes—
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1164C4×C4⋊C4C2311yescharacteristic
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1177C4×C4⋊C4C2312yes—
1178C4×C4⋊C4C2312yes—
1179C4×C4⋊C4C2312yes—
1180C4×C4⋊C4C2311yescharacteristic
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1183C4×C4⋊C4C2312yes—
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1187C4×C4⋊C4C2312yes—
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1190C4×C4⋊C4C2312yes—
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1198C4×C4⋊C4C2312yes—
1199C4×C4⋊C4C2312yes—
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1201C4×C4⋊C4C2312yes—
1202C4×C4⋊C4C2312yes—
1203C4×C4⋊C4C2312yes—
1204C4×C4⋊C4C2312yes—
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1207C4×C4⋊C4C2312yes—
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1212C4×C4⋊C4C2312yes—
1213C4×C4⋊C4C2312yes—
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1216C4×C4⋊C4C2312yes—
1217C4×C4⋊C4C2312yes—
1218C4×C4⋊C4C2312yes—
1219C4×C4⋊C4C2311yescharacteristic
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1222C4×C4⋊C4C2312yes—
1223C4×C4⋊C4C2312yes—
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1228C4×C4⋊C4C2312yes—
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1232C4×C4⋊C4C2312yes—
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1234C4×C4⋊C4C2312yes—
1235C4×C4⋊C4C2312yes—
1236C4×C4⋊C4C2312yes—
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1238C4×C4⋊C4C2312yes—
1239C4×C4⋊C4C2312yes—
1240C4×C4⋊C4C2312yes—
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1246C4×C22⋊C4C2311yescharacteristic
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1252C4×C22⋊C4C2312yes—
1253C4×C22⋊C4C2312yes—
1254C4×C22⋊C4C2312yes—
1255C4×C22⋊C4C2312yes—
1256C4×C22⋊C4C2312yes—
1257C4×C22⋊C4C2312yes—
1258C4×C22⋊C4C2312yes—
1259C4×C22⋊C4C2312yes—
1260C4×C22⋊C4C2312yes—
1261C4×C22⋊C4C2312yes—
1262C4×C22⋊C4C2312yes—
1263C4×C22⋊C4C2312yes—
1264C4×C22⋊C4C2312yes—
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1268C4×C22⋊C4C2312yes—
1269C4×C22⋊C4C2312yes—
1270C4×C22⋊C4C2312yes—
1271C4×C22⋊C4C2312yes—
1272C4×C22⋊C4C2312yes—
1273C4×C22⋊C4C2312yes—
1274C4×C22⋊C4C2312yes—
1275C4×C22⋊C4C2312yes—
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1280#376C2312yes—
1281#376C2312yes—
1282#376C2312yes—
1283#376C2312yes—
1284#376C2312yes—
1285#376C2312yes—
1286C2×#95C2312yes—
1287C2×#95C2312yes—
1288C2×#95C2312yes—
1289C2×#95C2312yes—
1290C2×#95C2312yes—
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1295C43C2312yes—
1296C43C2312yes—
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1299C2×#41—24no—
1300C2×#41—24no—
1301C2×#41—42no—
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1303C22×Q8C2411yescharacteristic
1304C22×Q8C2411yescharacteristic
1305C22×Q8C2411yescharacteristic
1306C22×Q8C2412yes—
1307C22×Q8C2412yes—
1308C22×Q8C2412yes—
1309C22×Q8C2412yes—
1310C22×D4C2411yescharacteristic
1311C22×D4C2412yes—
1312C22×D4C2412yes—
1313C22×D4C2411yescharacteristic
1314C22×D4C2412yes—
1315C22×D4C2412yes—
1316C23×C4C2411yescharacteristic
1317C23×C4C2412yes—
1318C23×C4C2412yes—
1319C23×C4C2411yescharacteristic
1320C23×C4C2412yes—
1321C23×C4C2412yes—
1322C23×C4C2412yes—
1323C23×C4C2411yescharacteristic
1324C23×C4C2412yes—
1325C23×C4C2412yes—
1326C23×C4C2412yes—
1327C23×C4C2412yes—
1328C23×C4C2412yes—
1329C4⋊Q8—24no—
1330C4⋊Q8—24no—
1331C4⋊Q8—24no—
1332C4⋊Q8—42no—
1333C4⋊Q8—42no—
1334C4⋊Q8—42no—
1335C4⋊Q8—82no—
1336#127—24no—
1337#126—24no—
1338#126—24no—
1339#126—24no—
1340#126—28no—
1341#126—28no—
1342#126—24no—
1343#126—44no—
1344#125—24no—
1345#125—24no—
1346#125—24no—
1347#125—24no—
1348#125—28no—
1349#125—28no—
1350#125—24no—
1351#125—24no—
1352#125—42no—
1353#125—82no—
1354#125—82no—
1355#125#4118yescomplemented
1356#124—24no—
1357#124—24no—
1358#124—28no—
1359#124—24no—
1360#124—44no—
1361#124—82no—
1362#123—28no—
1363#123—28no—
1364#123—28no—
1365#123—28no—
1366#123—82no—
1367#123—82no—
1368C22⋊Q8—28no—
1369C22⋊Q8—24no—
1370C22⋊Q8—24no—
1371C22⋊Q8—28no—
1372C22⋊Q8—28no—
1373C22⋊Q8—28no—
1374C22⋊Q8—28no—
1375C22⋊Q8—42no—
1376C22⋊Q8—82no—
1377C22⋊Q8—82no—
1378#121—42no—
1379C4×Q8—24no—
1380C4×Q8—24no—
1381C4×Q8—24no—
1382C4×Q8—24no—
1383C4×Q8—28no—
1384C4×Q8—24no—
1385C4×Q8—24no—
1386C4×Q8—24no—
1387C4×Q8—24no—
1388C4×Q8—24no—
1389C4×Q8—42no—
1390C4×Q8—44no—
1391C4×Q8—42no—
1392C4×Q8—42no—
1393C4×Q8—42no—
1394C4×Q8—42no—
1395C4×Q8—42no—
1396C4×Q8—82no—
1397C4×D4—24no—
1398C4×D4—24no—
1399C4×D4—24no—
1400C4×D4—28no—
1401C4×D4—28no—
1402C4×D4—28no—
1403C4×D4—24no—
1404C4×D4—28no—
1405C4×D4—44no—
1406C4×D4—42no—
1407C4×D4—42no—
1408C4×D4—42no—
1409C4×D4—42no—
1410C4×D4—82no—
1411C4×D4#4118yes—
1412#117—24no—
1413#117—24no—
1414#117—28no—
1415#117—28no—
1416#117—28no—
1417#117—28no—
1418#117—42no—
1419#117—44no—
1420#117—44no—
1421#117—82no—
1422#117—82no—
1423#117—82no—
1424#117—82no—
1425#117—82no—
1426C2×C4⋊C4—28no—
1427C2×C4⋊C4—28no—
1428C2×C4⋊C4C2411yescharacteristic
1429C2×C4⋊C4C2412yes—
1430C2×C4⋊C4C2412yes—
1431C2×C4⋊C4C2412yes—
1432C2×C4⋊C4C2412yes—
1433C2×C4⋊C4C2412yes—
1434C2×C4⋊C4C2412yes—
1435C2×C4⋊C4C2411yescharacteristic
1436C2×C4⋊C4C2411yescharacteristic
1437C2×C4⋊C4C2411yescharacteristic
1438C2×C4⋊C4C2412yes—
1439C2×C4⋊C4C2412yes—
1440C2×C4⋊C4C2412yes—
1441C2×C4⋊C4C2412yes—
1442C2×C4⋊C4C2411yescharacteristic
1443C2×C4⋊C4C2412yes—
1444C2×C4⋊C4C2412yes—
1445C2×C4⋊C4C2411yescharacteristic
1446C2×C4⋊C4C2411yescharacteristic
1447C2×C4⋊C4C2411yescharacteristic
1448C2×C4⋊C4C2411yescharacteristic
1449C2×C4⋊C4C2411yescharacteristic
1450C2×C4⋊C4C2411yescharacteristic
1451C2×C4⋊C4C2411yescharacteristic
1452C2×C4⋊C4C2411yescharacteristic
1453C2×C4⋊C4C2411yescharacteristic
1454C2×C4⋊C4C2411yescharacteristic
1455C2×C4⋊C4C2411yescharacteristic
1456C2×C4⋊C4C2411yescharacteristic
1457C2×C4⋊C4C2412yes—
1458C2×C4⋊C4C2412yes—
1459C2×C4⋊C4C2411yescharacteristic
1460C2×C4⋊C4C2411yescharacteristic
1461C2×C4⋊C4C2411yescharacteristic
1462C2×C4⋊C4C2411yescharacteristic
1463C2×C4⋊C4C2411yescharacteristic
1464C2×C4⋊C4C2411yescharacteristic
1465C2×C4⋊C4C2412yes—
1466C2×C4⋊C4C2412yes—
1467C2×C4⋊C4C2411yescharacteristic
1468C2×C4⋊C4C2411yescharacteristic
1469C2×C4⋊C4C2412yes—
1470C2×C4⋊C4C2412yes—
1471C2×C4⋊C4C2411yescharacteristic
1472C2×C4⋊C4C2411yescharacteristic
1473C2×C4⋊C4C2412yes—
1474C2×C4⋊C4C2411yescharacteristic
1475C2×C4⋊C4C2412yes—
1476C2×C4⋊C4C2411yescharacteristic
1477C2×C4⋊C4C2411yescharacteristic
1478C2×C4⋊C4C2411yescharacteristic
1479C2×C4⋊C4C2411yescharacteristic
1480C2×C4⋊C4C2411yescharacteristic
1481C2×C4⋊C4C2411yescharacteristic
1482C2×C4⋊C4C2412yes—
1483C2×C4⋊C4C2412yes—
1484C2×C4⋊C4C2412yes—
1485C2×C4⋊C4C2412yes—
1486C2×C4⋊C4C2412yes—
1487C2×C4⋊C4C2412yes—
1488C2×C4⋊C4C2412yes—
1489C2×C4⋊C4C2412yes—
1490C2×C4⋊C4C2412yes—
1491C2×C4⋊C4C2412yes—
1492C2×C4⋊C4C2412yes—
1493C2×C4⋊C4C2412yes—
1494C2×C4⋊C4C2411yescharacteristic
1495C2×C4⋊C4C2412yes—
1496C2×C4⋊C4C2412yes—
1497C2×C4⋊C4C2412yes—
1498C2×C4⋊C4C2412yes—
1499C2×C4⋊C4C2411yescharacteristic
1500C2×C4⋊C4C2411yescharacteristic
1501C2×C4⋊C4C2412yes—
1502C2×C4⋊C4C2412yes—
1503C2×C4⋊C4C2411yescharacteristic
1504C2×C4⋊C4C2411yescharacteristic
1505C2×C4⋊C4C2412yes—
1506C2×C4⋊C4C2412yes—
1507C2×C4⋊C4C2412yes—
1508C2×C4⋊C4C2412yes—
1509C2×C4⋊C4C2412yes—
1510C2×C4⋊C4C2411yescharacteristic
1511C2×C4⋊C4C2411yescharacteristic
1512C2×C4⋊C4C2412yes—
1513C2×C4⋊C4C2412yes—
1514C2×C4⋊C4C2412yes—
1515C2×C4⋊C4C2412yes—
1516C2×C4⋊C4C2411yescharacteristic
1517C2×C4⋊C4C2412yes—
1518C2×C4⋊C4C2411yescharacteristic
1519C2×C4⋊C4C2411yescharacteristic
1520C2×C4⋊C4C2412yes—
1521C2×C4⋊C4C2412yes—
1522C2×C4⋊C4C2412yes—
1523C2×C4⋊C4C2412yes—
1524C2×C4⋊C4C2412yes—
1525C2×C4⋊C4C2412yes—
1526C2×C4⋊C4C2411yescharacteristic
1527C2×C4⋊C4C2412yes—
1528C2×C4⋊C4C2412yes—
1529C2×C4⋊C4C2412yes—
1530C2×C4⋊C4C2411yescharacteristic
1531C2×C4⋊C4C2411yescharacteristic
1532C2×C4⋊C4C2411yescharacteristic
1533C2×C4⋊C4C2412yes—
1534C2×C4⋊C4C2411yescharacteristic
1535C2×C4⋊C4C2411yescharacteristic
1536C2×C4⋊C4C2411yescharacteristic
1537C2×C4⋊C4C2411yescharacteristic
1538C2×C4⋊C4C2411yescharacteristic
1539C2×C4⋊C4C2411yescharacteristic
1540C2×C4⋊C4C2411yescharacteristic
1541C2×C4⋊C4C2411yescharacteristic
1542C2×C4⋊C4C2411yescharacteristic
1543C2×C4⋊C4C2411yescharacteristic
1544C2×C22⋊C4C2412yes—
1545C2×C22⋊C4C2412yes—
1546C2×C22⋊C4C2412yes—
1547C2×C22⋊C4C2412yes—
1548C2×C22⋊C4C2412yes—
1549C2×C22⋊C4C2412yes—
1550C2×C22⋊C4C2412yes—
1551C2×C22⋊C4C2412yes—
1552C2×C22⋊C4C2411yescharacteristic
1553C2×C22⋊C4C2411yescharacteristic
1554C2×C22⋊C4C2411yescharacteristic
1555C2×C22⋊C4C2412yes—
1556C2×C22⋊C4C2412yes—
1557C2×C22⋊C4C2412yes—
1558C2×C22⋊C4C2412yes—
1559C2×C22⋊C4C2412yes—
1560C2×C22⋊C4C2412yes—
1561C2×C22⋊C4C2412yes—
1562C2×C22⋊C4C2412yes—
1563C2×C22⋊C4C2412yes—
1564C2×C22⋊C4C2411yescharacteristic
1565C2×C22⋊C4C2411yescharacteristic
1566C2×C22⋊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⋊C4C2412yes—
1577C2×C22⋊C4C2412yes—
1578C2×C22⋊C4C2412yes—
1579C2×C22⋊C4C2412yes—
1580C2×C22⋊C4C2412yes—
1581C2×C22⋊C4C2412yes—
1582C2×C22⋊C4C2412yes—
1583C2×C22⋊C4C2411yescharacteristic
1584C2×C22⋊C4C2412yes—
1585C2×C22⋊C4C2412yes—
1586C2×C22⋊C4C2412yes—
1587C2×C22⋊C4C2412yes—
1588C2×C22⋊C4C2412yes—
1589C2×C22⋊C4C2412yes—
1590C2×C22⋊C4C2412yes—
1591C2×C22⋊C4C2412yes—
1592C2×C22⋊C4C2411yescharacteristic
1593C2×C22⋊C4C2412yes—
1594C2×C22⋊C4C2411yescharacteristic
1595C2×C22⋊C4C2412yes—
1596C2×C22⋊C4C2412yes—
1597C2×C22⋊C4C2412yes—
1598C2×C22⋊C4C2412yes—
1599C2×C22⋊C4C2411yescharacteristic
1600C2×C22⋊C4C2411yescharacteristic
1601C2×C22⋊C4C2412yes—
1602C2×C22⋊C4C2412yes—
1603C2×C22⋊C4C2412yes—
1604C2×C22⋊C4C2412yes—
1605C2×C22⋊C4C2412yes—
1606C2×C42—28no—
1607C2×C42—24no—
1608C2×C42C2412yes—
1609C2×C42C2412yes—
1610C2×C42C2411yescharacteristic
1611C2×C42C2411yescharacteristic
1612C2×C42C2411yescharacteristic
1613C2×C42C2412yes—
1614C2×C42C2412yes—
1615C2×C42C2412yes—
1616C2×C42C2412yes—
1617C2×C42C2411yescharacteristic
1618C2×C42C2411yescharacteristic
1619C2×C42C2411yescharacteristic
1620C2×C42C2411yescharacteristic
1621C2×C42C2411yescharacteristic
1622C2×C42C2412yes—
1623C2×C42C2411yescharacteristic
1624C2×C42C2412yes—
1625C2×C42C2411yescharacteristic
1626C2×C42C2411yescharacteristic
1627C2×C42C2412yes—
1628C2×C42C2412yes—
1629C2×C42C2411yescharacteristic
1630C2×C42C2411yescharacteristic
1631C2×C42C2411yescharacteristic
1632C2×C42C2411yescharacteristic
1633C2×C42C2411yescharacteristic
1634C2×C42C2411yescharacteristic
1635C2×C42C2411yescharacteristic
1636C2×C42C2411yescharacteristic
1637C2×C42C2412yes—
1638C2×C42C2412yes—
1639C2×C42C2411yescharacteristic
1640C2×C42C2411yescharacteristic
1641C2×C42C2411yescharacteristic
1642C2×C42C2411yescharacteristic
1643C2×C42C2412yes—
1644C2×C42C2411yescharacteristic
1645C2×C42C2412yes—
1646C2×C42C2411yescharacteristic
1647C2×C42C2411yescharacteristic
1648C2×C42C2411yescharacteristic
1649C2×C42C2412yes—
1650C2×C42C2412yes—
1651C2×C42C2412yes—
1652C2×C42C2411yescharacteristic
1653C2×C42C2412yes—
1654C2×C42C2411yescharacteristic
1655C2×C42C2411yescharacteristic
1656C2×C42C2412yes—
1657C2×C42C2412yes—
1658C2×C42C2412yes—
1659C2×C42C2412yes—
1660C2×C42C2411yescharacteristic
1661C2×C42C2411yescharacteristic
1662C2×C42C2412yes—
1663C2×C42C2412yes—
1664C2×C42C2411yescharacteristic
1665C2×C42C2411yescharacteristic
1666C2×C42C2411yescharacteristic
1667C2×C42C2411yescharacteristic
1668C2×C42C2411yescharacteristic
1669C2×C42C2411yescharacteristic
1670C2×C42C2412yes—
1671C2×C42C2412yes—
1672C2×C42C2411yescharacteristic
1673C2×C42C2411yescharacteristic
1674#95C2412yes—
1675#95C2411yescharacteristic
1676#95C2411yescharacteristic
1677#95C2411yescharacteristic
1678#95C2411yescharacteristic
1679#95C2411yescharacteristic
1680#95C2412yes—
1681#95C2412yes—
1682#95C2412yes—
1683#95C2412yes—
1684#95C2412yes—
1685#95C2412yes—
1686#95C2412yes—
1687#95C2412yes—
1688#95C2412yes—
1689#95C2412yes—
1690#95C2412yes—
1691#95C2412yes—
1692#95C2412yes—
1693#95C2411yescharacteristic
1694#95C2411yescharacteristic
1695#95C2412yes—
1696#95C2411yescharacteristic
1697#95C2411yescharacteristic
1698#95C2412yes—
1699#95C2412yes—
1700#95C2412yes—
1701#95C2411yescharacteristic
1702#95C2412yes—
1703#95C2411yescharacteristic
1704#95C2411yescharacteristic
1705#95C2411yescharacteristic
1706#95C2411yescharacteristic
1707#95C2412yes—
1708#95C2412yes—
1709#95C2412yes—
1710#95C2411yescharacteristic
1711#95C2412yes—
1712#95C2412yes—
1713#95C2412yes—
1714#95C2412yes—
1715#95C2412yes—
1716#95C2412yes—
1717#95C2412yes—
1718#95C2412yes—
1719#95C2412yes—
1720#95C2412yes—
1721#95C2412yes—
1722#95C2412yes—
1723#95C2412yes—
1724#95C2412yes—
1725#95C2411yescharacteristic
1726#95C2411yescharacteristic
1727#95C2411yescharacteristic
1728#95C2411yescharacteristic
1729#95C2411yescharacteristic
1730#95C2411yescharacteristic
1731#95C2412yes—
1732#95C2412yes—
1733#95C2412yes—
1734#95C2412yes—
1735#95C2412yes—
1736#95C2411yescharacteristic
1737#95C2412yes—
1738#95C2412yes—
1739#95C2412yes—
1740#95C2412yes—
1741#95C2412yes—
1742#95C2411yescharacteristic
1743#95C2411yescharacteristic
1744#95C2412yes—
1745#95C2412yes—
1746#95C2412yes—
1747#95C2411yescharacteristic
1748#95C2411yescharacteristic
1749#95C2412yes—
1750#95C2412yes—
1751#95C2411yescharacteristic
1752#95C2411yescharacteristic
1753#95C2412yes—
1754#95C2412yes—
1755#95C2412yes—
1756#95C2412yes—
1757#95C2412yes—
1758#95C2412yes—
1759#95C2411yescharacteristic
1760#95C2411yescharacteristic
1761#95C2411yescharacteristic
1762#95C2411yescharacteristic
1763#95C2411yescharacteristic
1764#95C2411yescharacteristic
1765#95C2411yescharacteristic
1766#95C2411yescharacteristic
1767#95C2412yes—
1768#95C2412yes—
1769#95C2411yescharacteristic
1770#95C2411yescharacteristic
1771#95C2412yes—
1772#95C2411yescharacteristic
1773#95C2411yescharacteristic
1774#95C2412yes—
1775#95C2412yes—
1776#95C2412yes—
1777#95C2412yes—
1778#95C2412yes—
1779#95C2412yes—
1780#95C2412yes—
1781#95C2412yes—
1782#95C2411yescharacteristic
1783#95C2411yescharacteristic
1784#95C2412yes—
1785#95C2411yescharacteristic
1786#95C2412yes—
1787#95C2411yescharacteristic
1788#95C2411yescharacteristic
1789#95C2412yes—
1790#95C2411yescharacteristic
1791#95C2412yes—
1792#95C2411yescharacteristic
1793#95C2411yescharacteristic
1794#95C2411yescharacteristic
1795#95C2412yes—
1796#95C2412yes—
1797#95C2412yes—
1798#95C2412yes—
1799#95C2411yescharacteristic
1800#95C2412yes—
1801#95C2411yescharacteristic
1802#95C2412yes—
1803#95C2411yescharacteristic
1804#95C2412yes—
1805#95C2412yes—
1806#95C2412yes—
1807#95C2412yes—
1808#95C2412yes—
1809#95C2412yes—
1810#95C2412yes—
1811#95C2412yes—
1812#95C2412yes—
1813#95C2412yes—
1814C24C2511yescharacteristic
1815C24C2512yes—
1816C24C2512yes—
1817#41—416no—
1818C2×Q8—22no—
1819C2×Q8—22no—
1820C2×Q8—22no—
1821C2×Q8—22no—
1822C2×Q8—22no—
1823C2×Q8—22no—
1824C2×Q8—24no—
1825C2×Q8—24no—
1826C2×Q8—22no—
1827C2×Q8—22no—
1828C2×Q8—22no—
1829C2×Q8—41no—
1830C2×Q8—41no—
1831C2×Q8—42no—
1832C2×Q8—42no—
1833C2×Q8—42no—
1834C2×Q8—42no—
1835C2×Q8—42no—
1836C2×Q8—42no—
1837C2×Q8—42no—
1838C2×Q8—42no—
1839C2×Q8—42no—
1840C2×Q8—42no—
1841C2×Q82−1+414yes—
1842C2×D4—24no—
1843C2×D4—24no—
1844C2×D4—24no—
1845C2×D4—24no—
1846C2×D4—22no—
1847C2×D4—22no—
1848C2×D4—22no—
1849C2×D4—24no—
1850C2×D4—22no—
1851C2×D4—22no—
1852C2×D4—42no—
1853C2×D4—42no—
1854C2×D4—42no—
1855C2×D4—42no—
1856C2×D4—42no—
1857C2×D4—42no—
1858C2×D4—42no—
1859C2×D4C2×#4114yes—
1860C22×C4—24no—
1861C22×C4—24no—
1862C22×C4—24no—
1863C22×C4—24no—
1864C22×C4—22no—
1865C22×C4—22no—
1866C22×C4—22no—
1867C22×C4—24no—
1868C22×C4—24no—
1869C22×C4—22no—
1870C22×C4—24no—
1871C22×C4—22no—
1872C22×C4—22no—
1873C22×C4—24no—
1874C22×C4—24no—
1875C22×C4—24no—
1876C22×C4—41no—
1877C22×C4—42no—
1878C22×C4—42no—
1879C22×C4—42no—
1880C22×C4—41no—
1881C22×C4—42no—
1882C22×C4—41no—
1883C22×C4—42no—
1884C22×C4—42no—
1885C22×C4—42no—
1886C22×C4—42no—
1887C22×C4—42no—
1888C22×C4—42no—
1889C22×C4—42no—
1890C22×C4—42no—
1891C22×C4—42no—
1892C22×C4—42no—
1893C22×C4—42no—
1894C22×C4—42no—
1895C22×C4—42no—
1896C22×C4—42no—
1897C22×C4—42no—
1898C22×C4C2×#4118yes—
1899C22×C4C2511yescharacteristic
1900C22×C4C2512yes—
1901C22×C4C2511yescharacteristic
1902C22×C4C2511yescharacteristic
1903C22×C4C2511yescharacteristic
1904C22×C4C2512yes—
1905C22×C4C2511yescharacteristic
1906C22×C4C2511yescharacteristic
1907C22×C4C2511yescharacteristic
1908C22×C4C2512yes—
1909C22×C4C2511yescharacteristic
1910C22×C4C2512yes—
1911C22×C4C2511yescharacteristic
1912C22×C4C2512yes—
1913C22×C4C2512yes—
1914C22×C4C2511yescharacteristic
1915C22×C4C2512yes—
1916C22×C4C2512yes—
1917C22×C4C2511yescharacteristic
1918C22×C4C2511yescharacteristic
1919C22×C4C2511yescharacteristic
1920C22×C4C2511yescharacteristic
1921C22×C4C2511yescharacteristic
1922C22×C4C2511yescharacteristic
1923C22×C4C2511yescharacteristic
1924C22×C4C2511yescharacteristic
1925C22×C4C2512yes—
1926C22×C4C2512yes—
1927C22×C4C2512yes—
1928C22×C4C2512yes—
1929C22×C4C2511yescharacteristic
1930C22×C4C2511yescharacteristic
1931C22×C4C2511yescharacteristic
1932C22×C4C2511yescharacteristic
1933C22×C4C2511yescharacteristic
1934C22×C4C2511yescharacteristic
1935C22×C4C2511yescharacteristic
1936C22×C4C2511yescharacteristic
1937C22×C4C2512yes—
1938C22×C4C2511yescharacteristic
1939C22×C4C2511yescharacteristic
1940C22×C4C2512yes—
1941C22×C4C2511yescharacteristic
1942C22×C4C2511yescharacteristic
1943C4⋊C4—22no—
1944C4⋊C4—24no—
1945C4⋊C4—24no—
1946C4⋊C4—24no—
1947C4⋊C4—24no—
1948C4⋊C4—24no—
1949C4⋊C4—24no—
1950C4⋊C4—24no—
1951C4⋊C4—24no—
1952C4⋊C4—22no—
1953C4⋊C4—24no—
1954C4⋊C4—24no—
1955C4⋊C4—22no—
1956C4⋊C4—24no—
1957C4⋊C4—24no—
1958C4⋊C4—22no—
1959C4⋊C4—22no—
1960C4⋊C4—22no—
1961C4⋊C4—22no—
1962C4⋊C4—22no—
1963C4⋊C4—22no—
1964C4⋊C4—22no—
1965C4⋊C4—22no—
1966C4⋊C4—24no—
1967C4⋊C4—22no—
1968C4⋊C4—24no—
1969C4⋊C4—22no—
1970C4⋊C4—22no—
1971C4⋊C4—22no—
1972C4⋊C4—24no—
1973C4⋊C4—24no—
1974C4⋊C4—22no—
1975C4⋊C4—22no—
1976C4⋊C4—24no—
1977C4⋊C4—24no—
1978C4⋊C4—22no—
1979C4⋊C4—22no—
1980C4⋊C4—22no—
1981C4⋊C4—22no—
1982C4⋊C4—22no—
1983C4⋊C4—22no—
1984C4⋊C4—24no—
1985C4⋊C4—24no—
1986C4⋊C4—22no—
1987C4⋊C4—22no—
1988C4⋊C4—24no—
1989C4⋊C4—24no—
1990C4⋊C4—22no—
1991C4⋊C4—22no—
1992C4⋊C4—22no—
1993C4⋊C4—22no—
1994C4⋊C4—22no—
1995C4⋊C4—22no—
1996C4⋊C4—22no—
1997C4⋊C4—22no—
1998C4⋊C4—22no—
1999C4⋊C4—41no—
2000C4⋊C4—41no—
2001C4⋊C4—41no—
2002C4⋊C4—41no—
2003C4⋊C4—42no—
2004C4⋊C4—41no—
2005C4⋊C4—41no—
2006C4⋊C4—42no—
2007C4⋊C4—41no—
2008C4⋊C4—42no—
2009C4⋊C4—42no—
2010C4⋊C4—42no—
2011C4⋊C4—42no—
2012C4⋊C4—42no—
2013C4⋊C4—42no—
2014C4⋊C4—42no—
2015C4⋊C4—42no—
2016C4⋊C4—42no—
2017C4⋊C4—42no—
2018C4⋊C4—42no—
2019C4⋊C4—42no—
2020C4⋊C4—41no—
2021C4⋊C4—41no—
2022C4⋊C4—41no—
2023C4⋊C4—42no—
2024C4⋊C4—42no—
2025C4⋊C4—41no—
2026C4⋊C4—42no—
2027C4⋊C4—42no—
2028C4⋊C4—42no—
2029C4⋊C4—42no—
2030C4⋊C4—42no—
2031C4⋊C4—42no—
2032C4⋊C4—42no—
2033C4⋊C4—41no—
2034C4⋊C4—41no—
2035C4⋊C4—42no—
2036C4⋊C4—42no—
2037C4⋊C4—42no—
2038C4⋊C4—41no—
2039C4⋊C4—42no—
2040C4⋊C4—42no—
2041C4⋊C4—42no—
2042C4⋊C4—41no—
2043C4⋊C4—41no—
2044C4⋊C4—42no—
2045C4⋊C4—42no—
2046C4⋊C4—42no—
2047C4⋊C4—42no—
2048C4⋊C4—42no—
2049C4⋊C4—42no—
2050C4⋊C4—42no—
2051C4⋊C4—41no—
2052C4⋊C4C2×#4114yes—
2053C4⋊C4C2×#4114yes—
2054C4⋊C4C2×#4114yes—
2055C4⋊C4C2×#4114yes—
2056C4⋊C4C2×#4114yes—
2057C4⋊C4C2×#4114yes—
2058C4⋊C4C2×#4114yes—
2059C22⋊C4—24no—
2060C22⋊C4—24no—
2061C22⋊C4—24no—
2062C22⋊C4—24no—
2063C22⋊C4—24no—
2064C22⋊C4—24no—
2065C22⋊C4—24no—
2066C22⋊C4—24no—
2067C22⋊C4—24no—
2068C22⋊C4—24no—
2069C22⋊C4—24no—
2070C22⋊C4—22no—
2071C22⋊C4—22no—
2072C22⋊C4—24no—
2073C22⋊C4—24no—
2074C22⋊C4—24no—
2075C22⋊C4—24no—
2076C22⋊C4—24no—
2077C22⋊C4—22no—
2078C22⋊C4—22no—
2079C22⋊C4—22no—
2080C22⋊C4—22no—
2081C22⋊C4—24no—
2082C22⋊C4—24no—
2083C22⋊C4—24no—
2084C22⋊C4—24no—
2085C22⋊C4—22no—
2086C22⋊C4—24no—
2087C22⋊C4—41no—
2088C22⋊C4—42no—
2089C22⋊C4—42no—
2090C22⋊C4—41no—
2091C22⋊C4—42no—
2092C22⋊C4—42no—
2093C22⋊C4—41no—
2094C22⋊C4—42no—
2095C22⋊C4—42no—
2096C22⋊C4—42no—
2097C22⋊C4—42no—
2098C22⋊C4—42no—
2099C22⋊C4—42no—
2100C22⋊C4—42no—
2101C22⋊C4—42no—
2102C22⋊C4—42no—
2103C22⋊C4—42no—
2104C22⋊C4—42no—
2105C22⋊C4—42no—
2106C22⋊C4—42no—
2107C22⋊C4—42no—
2108C22⋊C4—42no—
2109C22⋊C4—42no—
2110C22⋊C4—42no—
2111C22⋊C4—42no—
2112C22⋊C4—42no—
2113C22⋊C4—41no—
2114C22⋊C4—42no—
2115C22⋊C4—42no—
2116C22⋊C4—42no—
2117C22⋊C4—41no—
2118C22⋊C4—42no—
2119C22⋊C4—42no—
2120C22⋊C4C2×#4118yes—
2121C42—22no—
2122C42—24no—
2123C42—22no—
2124C42—24no—
2125C42—22no—
2126C42—24no—
2127C42—24no—
2128C42—22no—
2129C42—24no—
2130C42—24no—
2131C42—22no—
2132C42—24no—
2133C42—22no—
2134C42—24no—
2135C42—22no—
2136C42—22no—
2137C42—22no—
2138C42—22no—
2139C42—22no—
2140C42—22no—
2141C42—24no—
2142C42—22no—
2143C42—24no—
2144C42—22no—
2145C42—22no—
2146C42—22no—
2147C42—22no—
2148C42—24no—
2149C42—24no—
2150C42—22no—
2151C42—22no—
2152C42—22no—
2153C42—22no—
2154C42—22no—
2155C42—22no—
2156C42—41no—
2157C42—41no—
2158C42—42no—
2159C42—41no—
2160C42—41no—
2161C42—41no—
2162C42—41no—
2163C42—42no—
2164C42—41no—
2165C42—42no—
2166C42—42no—
2167C42—41no—
2168C42—42no—
2169C42—41no—
2170C42—42no—
2171C42—41no—
2172C42—41no—
2173C42—42no—
2174C42—42no—
2175C42—41no—
2176C42—42no—
2177C42—42no—
2178C42—42no—
2179C42—42no—
2180C42—41no—
2181C42—41no—
2182C42—41no—
2183C42—42no—
2184C42—42no—
2185C42C2×#4114yes—
2186C42C2×#4114yes—
2187C23—22no—
2188C23—22no—
2189C23—22no—
2190C23—22no—
2191C23—22no—
2192C23—22no—
2193C23—21no—
2194C23—22no—
2195C23—22no—
2196C23—21no—
2197C23—22no—
2198C23—21no—
2199C23—22no—
2200C23—21no—
2201C23—22no—
2202C23—21no—
2203C23—21no—
2204C23—22no—
2205C23—21no—
2206C23—22no—
2207C23C22×#4114yes—
2208C23C2611yescharacteristic
2209Q8—28no—
2210Q8—44no—
2211Q8—44no—
2212Q8—44no—
2213Q8—84no—
2214Q8—84no—
2215Q8—84no—
2216Q8—162no—
2217D4—28no—
2218D4—48no—
2219D4—48no—
2220D4—44no—
2221D4—84no—
2222D4—162no—
2223C2×C4—21no—
2224C2×C4—21no—
2225C2×C4—22no—
2226C2×C4—21no—
2227C2×C4—21no—
2228C2×C4—21no—
2229C2×C4—21no—
2230C2×C4—21no—
2231C2×C4—21no—
2232C2×C4—21no—
2233C2×C4—21no—
2234C2×C4—21no—
2235C2×C4—22no—
2236C2×C4—21no—
2237C2×C4—21no—
2238C2×C4—21no—
2239C2×C4—21no—
2240C2×C4—22no—
2241C2×C4—21no—
2242C2×C4—21no—
2243C2×C4—21no—
2244C2×C4—21no—
2245C2×C4—21no—
2246C2×C4—22no—
2247C2×C4—21no—
2248C2×C4—22no—
2249C2×C4—21no—
2250C2×C4—21no—
2251C2×C4—22no—
2252C2×C4—22no—
2253C2×C4—22no—
2254C2×C4—21no—
2255C2×C4—22no—
2256C2×C4—22no—
2257C2×C4—21no—
2258C2×C4—21no—
2259C2×C4—21no—
2260C2×C4—21no—
2261C2×C4—21no—
2262C2×C4—21no—
2263C2×C4—21no—
2264C2×C4—21no—
2265C2×C4—21no—
2266C2×C4—21no—
2267C2×C4—22no—
2268C2×C4—22no—
2269C2×C4—22no—
2270C2×C4—22no—
2271C2×C4—21no—
2272C2×C4—21no—
2273C2×C4—21no—
2274C2×C4—22no—
2275C2×C4—21no—
2276C2×C4—22no—
2277C2×C4—21no—
2278C2×C4—21no—
2279C2×C4—22no—
2280C2×C4—21no—
2281C2×C4—21no—
2282C2×C4—22no—
2283C2×C4—22no—
2284C2×C4—21no—
2285C2×C4—21no—
2286C2×C4—22no—
2287C2×C4—21no—
2288C2×C4—22no—
2289C2×C4—21no—
2290C2×C4—21no—
2291C2×C4—21no—
2292C2×C4—21no—
2293C2×C4—21no—
2294C2×C4—21no—
2295C2×C4—21no—
2296C2×C4—22no—
2297C2×C4—22no—
2298C2×C4—22no—
2299C2×C4—21no—
2300C2×C4—21no—
2301C2×C4—21no—
2302C2×C4—22no—
2303C2×C4—22no—
2304C2×C4—22no—
2305C2×C4—22no—
2306C2×C4—21no—
2307C2×C4—22no—
2308C2×C4—22no—
2309C2×C4—21no—
2310C2×C4—22no—
2311C2×C4—21no—
2312C2×C4—21no—
2313C2×C4—21no—
2314C2×C4—22no—
2315C2×C4—22no—
2316C2×C4—21no—
2317C2×C4—22no—
2318C2×C4—22no—
2319C2×C4—21no—
2320C2×C4—21no—
2321C2×C4—21no—
2322C2×C4—21no—
2323C2×C4—22no—
2324C2×C4—22no—
2325C2×C4—21no—
2326C2×C4—21no—
2327C2×C4—21no—
2328C2×C4—21no—
2329C2×C4—22no—
2330C2×C4—21no—
2331C2×C4—21no—
2332C2×C4—22no—
2333C2×C4—21no—
2334C2×C4—21no—
2335C2×C4—21no—
2336C2×C4—21no—
2337C2×C4—21no—
2338C2×C4—21no—
2339C2×C4—22no—
2340C2×C4—48no—
2341C2×C4—44no—
2342C2×C4—48no—
2343C2×C4—48no—
2344C2×C4—48no—
2345C2×C4—44no—
2346C2×C4—44no—
2347C2×C4—84no—
2348C2×C4—84no—
2349C2×C4—84no—
2350C2×C4—84no—
2351C2×C4—162no—
2352C2×C4—162no—
2353C2×C4C22×#4112yes—
2354C2×C4C22×#4112yes—
2355C2×C4C22×#4112yes—
2356C2×C4C22×#4114yes—
2357C2×C4C22×#4112yes—
2358C2×C4C22×#4112yes—
2359C2×C4C22×#4112yes—
2360C2×C4C22×#4112yes—
2361C2×C4C22×#4112yes—
2362C2×C4C22×#4112yes—
2363C2×C4C22×#4112yes—
2364C2×C4C2×2−1+414yes—
2365C2×C4C2×2−1+412yes—
2366C2×C4#58512yes—
2367C2×C4#58512yes—
2368C22—24no—
2369C22—24no—
2370C22—24no—
2371C22—42no—
2372C22—42no—
2373C22—42no—
2374C22—42no—
2375C22—41no—
2376C22—42no—
2377C22—42no—
2378C22—41no—
2379C22—41no—
2380C22—42no—
2381C22—41no—
2382C22—42no—
2383C22—42no—
2384C22—41no—
2385C22—42no—
2386C22—41no—
2387C22—41no—
2388C22—42no—
2389C22C23×#4111yescharacteristic
2390C22C23×#4111yescharacteristic
2391C22C22×2−1+411yescharacteristic
2392C22C2×#58511yescharacteristic
2393C22C2×#58511yescharacteristic
2394C22H(7,𝔽2)11yescharacteristic
2395C222−1+611yescharacteristic
2396C4—22no—
2397C4—22no—
2398C4—22no—
2399C4—22no—
2400C4—24no—
2401C4—22no—
2402C4—24no—
2403C4—22no—
2404C4—22no—
2405C4—22no—
2406C4—22no—
2407C4—22no—
2408C4—42no—
2409C4—41no—
2410C4—42no—
2411C4—41no—
2412C4—41no—
2413C4—41no—
2414C4—42no—
2415C4—42no—
2416C4—41no—
2417C4—42no—
2418C4—41no—
2419C4—41no—
2420C4—41no—
2421C4—42no—
2422C4—41no—
2423C4—41no—
2424C4—41no—
2425C4—41no—
2426C4—41no—
2427C4—41no—
2428C4—42no—
2429C4—41no—
2430C4—42no—
2431C4—42no—
2432C4—42no—
2433C4—41no—
2434C4—41no—
2435C4—42no—
2436C4—42no—
2437C4—41no—
2438C4—41no—
2439C4#349514yes—
2440C2—44no—
2441C2—82no—
2442C2—81no—
2443C2#41211yescharacteristic
2444C2C2×#349511yescharacteristic
2445C2#6284711yescharacteristic
2446C2#6294911yescharacteristic
2447C2#6296611yescharacteristic
2448C2#6299911yescharacteristic
2449C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2431C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59961C2semidirect
2. #59842C2semidirect
3. #59766C2semidirect
4. #59713C2semidirect
5. #59583C2semidirect
6. #59565C2semidirect
7. #59505C2semidirect
8. #59497C2semidirect
10. #59486C2semidirect
12. #59475C2semidirect
13. #59463C2semidirect
14. #59459C2semidirect
15. #59446C2semidirect
16. #59436C2semidirect
17. #44867C2semidirect
18. #44858C2semidirect
19. #44809C2semidirect
20. #44769C2semidirect
21. #44723C2semidirect
22. #44630C2semidirect
23. #44531C2semidirect
24. #44488C2semidirect
25. #40273C2semidirect
26. #39977C2semidirect
27. #39949C2semidirect
28. #39939C2semidirect
29. #39927C2semidirect
30. #39925C2semidirect
31. #38657C2semidirect
32. #38403C2semidirect
33. #36485C2semidirect
35. #36286C2semidirect
36. #36219C2semidirect
37. #35509C2semidirect
38. #35486C2semidirect
39. #35137C2semidirect
40. #35124C2semidirect
41. #34920C2semidirect
42. #34902C2semidirect
43. #34331C2semidirect
44. #34317C2semidirect
45. #34297C2semidirect
46. #34129C2semidirect
47. C4×#541C2semidirect
1355. #125#41semidirect

Maximal subgroups

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

subgroupindex
#599612
#598422
#597662
#597132
#595832
#595652
#595052
#594972
#594872
#594862
#594782
#594752
#594632
#594592
#594462
#594362
#448672
#448582
#448092
#447692
#447232
#446302
#445312
#444882
#402732
#399772
#399492
#399392
#399272
#399252
#386572
#384032
#364852
#364372
#362862
#362192
#355092
#354862
#351372
#351242
#349202
#349022
#343312
#343172
#342972
#341292
C4×#5412