Finite Group Databasebeta

← #7681225

Subgroups — #7681225

Order 512.

4695 conjugacy classes of subgroups.

The subgroup lattice has 2496 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60035C212yesmaximal, complemented
2#60012C212yesmaximal, complemented
3#59991C212yesmaximal, complemented
4#59931C212yesmaximal, complemented
5#59757C212yesmaximal, complemented
6#59697C212yesmaximal, complemented
7#59535C212yesmaximal, complemented
8#59395C212yesmaximal, complemented
9#44741C212yesmaximal, complemented
10#44661C212yesmaximal, complemented
11#44410C212yesmaximal, complemented
12#44268C212yesmaximal, complemented
13#43872C212yesmaximal, complemented
14#43798C212yesmaximal, complemented
15#43475C212yesmaximal, complemented
16#43386C212yesmaximal, complemented
17#39547C211yesmaximal, characteristic, complemented
18#39546C211yesmaximal, characteristic, complemented
19#39488C211yesmaximal, characteristic, complemented
20#39425C211yesmaximal, characteristic, complemented
21#39424C211yesmaximal, characteristic, complemented
22#39365C211yesmaximal, characteristic, complemented
23#39296C211yesmaximal, characteristic, complemented
24#39292C211yesmaximal, characteristic, complemented
25#38262C211yesmaximal, characteristic, complemented
26#38261C211yesmaximal, characteristic, complemented
27#38051C211yesmaximal, characteristic, complemented
28#38041C211yesmaximal, characteristic
29#36601C211yesmaximal, characteristic, complemented
30#36563C211yesmaximal, characteristic, complemented
31#36391C211yesmaximal, characteristic, complemented
32#36280C211yesmaximal, characteristic, complemented
33#35643C211yesmaximal, characteristic, complemented
34#35613C211yesmaximal, characteristic, complemented
35#35589C211yesmaximal, characteristic, complemented
36#35580C211yesmaximal, characteristic, complemented
37#35300C211yesmaximal, characteristic, complemented
38#35294C211yesmaximal, characteristic, complemented
39#35269C211yesmaximal, characteristic, complemented
40#34797C211yesmaximal, characteristic, complemented
41#34772C211yesmaximal, characteristic, complemented
42#34307C211yesmaximal, characteristic, complemented
43#34298C211yesmaximal, characteristic, complemented
44#34279C211yesmaximal, characteristic, complemented
45#34272C211yesmaximal, characteristic, complemented
46#34151C211yesmaximal, characteristic, complemented
47C4×#544C211yesmaximal, characteristic, complemented
48C2×#556C2211yescharacteristic
49C2×#547C2211yescharacteristic
50C2×#544C2211yescharacteristic
51C2×#544C2211yescharacteristic
52C2×#542C2211yescharacteristic
53C2×#529C2211yescharacteristic
54#2868C2211yescharacteristic
55#2863C2211yescharacteristic
56#2861C2211yescharacteristic
57#2861C2211yescharacteristic
58#2860C2211yescharacteristic
59#2859C2211yescharacteristic
60#2859C2211yescharacteristic
61#2859C2211yescharacteristic
62#2859C2211yescharacteristic
63#2859C2211yescharacteristic
64#2855C2211yescharacteristic
65#2854C2211yescharacteristic
66#2810C2212yes—
67#2798C2212yes—
68#2798C2212yes—
69#2791C2212yes—
70#2781C2212yes—
71#2777C2212yes—
72#2777C2212yes—
73#2775C2212yes—
74#2772C2212yes—
75#2771C2212yes—
76#2767C2212yes—
77#2766C2212yes—
78#2765C2212yes—
79#2765C2212yes—
80#2762C2212yes—
81#2761C2212yes—
82#2759C2212yes—
83#2739C2212yes—
84#2734C2212yes—
85#2732C2212yes—
86#2731C2212yes—
87#2730C2212yes—
88#2729C2212yes—
89#2728C2212yes—
90#2727C2212yes—
91#2726C2212yes—
92#2725C2212yes—
93#2723C2212yes—
94#2720C2212yes—
95#2719C2212yes—
96#2718C2212yes—
97#2718C2212yes—
98#2718C2212yes—
99#2718C2212yes—
100#2718C2212yes—
101#2718C2212yes—
102#2717C2212yes—
103#2710C2212yes—
104#2707C2212yes—
105#2707C2212yes—
106#2702C2212yes—
107#2702C2212yes—
108#2700C2212yes—
109#2689C2212yes—
110#2689C2212yes—
111#2686C2212yes—
112#2683C2212yes—
113#2681C2212yes—
114#2645C2211yescharacteristic
115#2644C2211yescharacteristic
116#2629C2211yescharacteristic
117#2629C2211yescharacteristic
118#2629C2211yescharacteristic
119#2629C2211yescharacteristic
120#2628C2211yescharacteristic
121#2628C2211yescharacteristic
122#2625C2211yescharacteristic
123#2624C2211yescharacteristic
124#2620C2211yescharacteristic
125#2620C2211yescharacteristic
126#2612C2212yes—
127#2612C2212yes—
128#2611C2212yes—
129#2609C2212yes—
130#2607C2212yes—
131#2606C2212yes—
132#2606C2212yes—
133#2605C2212yes—
134#2605C2212yes—
135#2605C2212yes—
136#2601C2212yes—
137#2596C2212yes—
138#2596C2212yes—
139#2596C2212yes—
140#2596C2212yes—
141#2594C2212yes—
142#2594C2212yes—
143#2590C2212yes—
144#2590C2212yes—
145#2589C2212yes—
146#2588C2212yes—
147#2587C2212yes—
148#2586C2212yes—
149#2585C2212yes—
150#2582C2212yes—
151#2581C2211yescharacteristic
152#2580C2211yescharacteristic
153#2577C2212yes—
154#2576C2212yes—
155#2576C2212yes—
156#2575C2212yes—
157#2574C2212yes—
158#2573C2212yes—
159#2573C2212yes—
160#2570C2212yes—
161#2570C2212yes—
162#2570C2212yes—
163#2568C2211yescharacteristic
164#2567C2211yescharacteristic
165#2567C2211yescharacteristic
166#2560C2212yes—
167#2560C2212yes—
168#2560C2212yes—
169#2558C2212yes—
170#2558C2212yes—
171#2558C2212yes—
172#2558C2212yes—
173#2556C2212yes—
174#2556C2212yes—
175#2556C2212yes—
176#2556C2212yes—
177#2553C2212yes—
178#2553C2212yes—
179#2552C2212yes—
180#2550C2212yes—
181#2550C2211yescharacteristic
182#2550C2212yes—
183#2550C2211yescharacteristic
184#2550C2212yes—
185#2550C2212yes—
186#2549C2212yes—
187#2545C2212yes—
188#2542C2211yescharacteristic
189#2536C2212yes—
190#2532C2212yes—
191#2531C2212yes—
192#2529C2212yes—
193#2529C2212yes—
194#2529C2212yes—
195#2529C2212yes—
196#2528C2212yes—
197#2526C2212yes—
198#2525C2212yes—
199#2522C2212yes—
200#2522C2212yes—
201#2521C2212yes—
202#2520C2212yes—
203#2520C2212yes—
204#2519C2212yes—
205#2519C2212yes—
206#2519C2212yes—
207#2519C2212yes—
208#2518C2212yes—
209#2518C2212yes—
210#2518C2212yes—
211#2515C2212yes—
212#2515C2212yes—
213#2515C2212yes—
214#2514C2212yes—
215#2512C2211yescharacteristic
216#2512C2211yescharacteristic
217#2511C2211yescharacteristic
218#2511C2212yes—
219#2511C2211yescharacteristic
220#2509C2211yescharacteristic
221#2508C2212yes—
222#2508C2211yescharacteristic
223#2507C2211yescharacteristic
224#2507C2211yescharacteristic
225#2507C2211yescharacteristic
226#2507C2211yescharacteristic
227#2507C2211yescharacteristic
228#2506C2212yes—
229#2506C2211yescharacteristic
230#2505C2212yes—
231#2502C2211yescharacteristic
232#2502C2211yescharacteristic
233#2501C2212yes—
234#2500C2211yescharacteristic
235#2500C2211yescharacteristic
236#2497C2211yescharacteristic
237#2496C2212yes—
238#2496C2211yescharacteristic
239#2495C2211yescharacteristic
240#2494C2211yescharacteristic
241#2492C2211yescharacteristic
242#2491C2211yescharacteristic
243#2490C2211yescharacteristic
244#2489C2211yescharacteristic
245#2488C2212yes—
246#2487C2211yescharacteristic
247#2486C2211yescharacteristic
248#2485C2211yescharacteristic
249#2485C2211yescharacteristic
250#2479C2212yes—
251#2478C2212yes—
252#2478C2212yes—
253#2476C2212yes—
254#2475C2212yes—
255#2475C2212yes—
256#2475C2212yes—
257#2474C2212yes—
258#2473C2212yes—
259#2470C2212yes—
260#2470C2212yes—
261#2469C2212yes—
262#2469C2212yes—
263#2469C2212yes—
264#2468C2212yes—
265#2467C2212yes—
266#2466C2212yes—
267#2465C2212yes—
268#2465C2212yes—
269#2462C2212yes—
270#2462C2212yes—
271#2461C2212yes—
272#2460C2212yes—
273#2460C2212yes—
274#2454C2211yescharacteristic
275#2453C2211yescharacteristic
276#2452C2211yescharacteristic
277#2451C2211yescharacteristic
278#2451C2212yes—
279#2451C2212yes—
280#2450C2212yes—
281#2448C2212yes—
282#2441C2211yescharacteristic
283#2441C2212yes—
284#2441C2212yes—
285#2441C2212yes—
286#2441C2211yescharacteristic
287#2440C2211yescharacteristic
288#2440C2211yescharacteristic
289#2439C2212yes—
290#2439C2212yes—
291#2438C2212yes—
292#2438C2212yes—
293#2432C2212yes—
294#2432C2212yes—
295#2430C2212yes—
296#2429C2212yes—
297#2429C2212yes—
298#2429C2212yes—
299#2429C2212yes—
300#2429C2212yes—
301#2427C2212yes—
302#2426C2212yes—
303#2423C2212yes—
304#2417C2211yescharacteristic
305#2416C2211yescharacteristic
306#2415C2211yescharacteristic
307#2415C2212yes—
308#2414C2211yescharacteristic
309#2406C2212yes—
310#2402C2212yes—
311#2396C2212yes—
312#2395C2212yes—
313#2392C2212yes—
314#2374C2211yescharacteristic
315#2374C2211yescharacteristic
316#2374C2212yes—
317#2374C2211yescharacteristic
318#2374C2211yescharacteristic
319#2374C2212yes—
320#2373C2212yes—
321#2373C2212yes—
322#2373C2211yescharacteristic
323#2373C2212yes—
324#2373C2212yes—
325#2373C2211yescharacteristic
326#2373C2212yes—
327#2373C2211yescharacteristic
328#2373C2211yescharacteristic
329#2373C2212yes—
330#2373C2212yes—
331#2372C2212yes—
332#2372C2212yes—
333#2370C2211yescharacteristic
334#2370C2212yes—
335#2370C2211yescharacteristic
336#2370C2212yes—
337#2369C2211yescharacteristic
338#2369C2212yes—
339#2369C2211yescharacteristic
340#2368C2212yes—
341#2368C2212yes—
342#2368C2212yes—
343#2368C2212yes—
344#2367C2212yes—
345#2367C2211yescharacteristic
346#2367C2211yescharacteristic
347#2365C2212yes—
348#2363C2211yescharacteristic
349#2363C2211yescharacteristic
350#2363C2211yescharacteristic
351#2362C2211yescharacteristic
352#2362C2212yes—
353#2362C2211yescharacteristic
354#2362C2211yescharacteristic
355#2361C2211yescharacteristic
356#2360C2211yescharacteristic
357#2360C2212yes—
358#2360C2212yes—
359#2360C2212yes—
360#2359C2212yes—
361#2359C2212yes—
362#2357C2211yescharacteristic
363#2356C2211yescharacteristic
364#2356C2212yes—
365#2355C2212yes—
366#2352C2211yescharacteristic
367#2352C2211yescharacteristic
368Q8×C4⋊C4C2212yes—
369#2347C2211yescharacteristic
370#2346C2211yescharacteristic
371#2346C2212yes—
372#2345C2211yescharacteristic
373#2344C2211yescharacteristic
374#2343C2212yes—
375#2339C2212yes—
376#2337C2212yes—
377#2335C2212yes—
378#2334C2212yes—
379#2332C2212yes—
380#2331C2211yescharacteristic
381#2331C2211yescharacteristic
382#2331C2212yes—
383#2331C2211yescharacteristic
384#2331C2211yescharacteristic
385#2331C2211yescharacteristic
386#2330C2211yescharacteristic
387#2330C2212yes—
388#2330C2211yescharacteristic
389#2330C2211yescharacteristic
390#2330C2211yescharacteristic
391#2329C2212yes—
392#2329C2212yes—
393#2326C2211yescharacteristic
394#2324C2211yescharacteristic
395#2324C2211yescharacteristic
396#2323C2211yescharacteristic
397#2323C2211yescharacteristic
398#2320C2211yescharacteristic
399#2319C2211yescharacteristic
400#2317C2211yescharacteristic
401#2317C2211yescharacteristic
402#2317C2211yescharacteristic
403#2316C2211yescharacteristic
404#2314C2211yescharacteristic
405C4×C4⋊Q8C2211yescharacteristic
406C4×C4⋊Q8C2211yescharacteristic
407C4×C4⋊Q8C2212yes—
408C4×C4⋊Q8C2211yescharacteristic
409C4×C4⋊Q8C2211yescharacteristic
410C4×C4⋊Q8C2211yescharacteristic
411C4×#125C2211yescharacteristic
412C4×#125C2212yes—
413C4×#125C2211yescharacteristic
414C4×#125C2211yescharacteristic
415C4×#125C2211yescharacteristic
416C4×#126C2212yes—
417C4×#126C2212yes—
418C4×#124C2211yescharacteristic
419C4×C22⋊Q8C2211yescharacteristic
420C4×C22⋊Q8C2212yes—
421C4×C22⋊Q8C2212yes—
422C4×C22⋊Q8C2211yescharacteristic
423C4×C22⋊Q8C2212yes—
424C4×#123C2212yes—
425C4×#121C2211yescharacteristic
426C4×#121C2211yescharacteristic
427#2298C2211yescharacteristic
428#2298C2211yescharacteristic
429#2297C2212yes—
430#2296C2211yescharacteristic
431#2295C2212yes—
432#2295C2211yescharacteristic
433#2295C2211yescharacteristic
434#2295C2211yescharacteristic
435#2293C2211yescharacteristic
436#2293C2211yescharacteristic
437#2293C2211yescharacteristic
438#2293C2212yes—
439#2293C2211yescharacteristic
440#2293C2211yescharacteristic
441C2×#389C2211yescharacteristic
442#2290C2211yescharacteristic
443#2290C2211yescharacteristic
444#2290C2212yes—
445#2285C2211yescharacteristic
446#2285C2211yescharacteristic
447#2276C2211yescharacteristic
448#2275C2211yescharacteristic
449#2274C2211yescharacteristic
450#2274C2211yescharacteristic
451C42×Q8C2211yescharacteristic
452C42×D4C2211yescharacteristic
453C4×#117C2211yescharacteristic
454C4×#117C2211yescharacteristic
455C4×#117C2211yescharacteristic
456C4×#117C2211yescharacteristic
457C4×#117C2211yescharacteristic
458C2×C4×C4⋊C4C2211yescharacteristic
459C22×#41C2312yes—
460#556—28no—
461#547—28no—
462#544—28no—
463#544—28no—
464#542—28no—
465C2×C4⋊Q8C2312yes—
466C2×C4⋊Q8C2311yescharacteristic
467C2×C4⋊Q8C2311yescharacteristic
468C2×C4⋊Q8C2311yescharacteristic
469C2×C4⋊Q8C2311yescharacteristic
470C2×C4⋊Q8C2312yes—
471C2×C4⋊Q8C2312yes—
472C2×C4⋊Q8C2312yes—
473C2×C4⋊Q8C2311yescharacteristic
474#529—28no—
475C2×#126C2312yes—
476C2×#126C2312yes—
477C2×#126C2312yes—
478C2×#126C2312yes—
479C2×#126C2311yescharacteristic
480C2×#126C2311yescharacteristic
481C2×#126C2312yes—
482C2×#126C2312yes—
483C2×#126C2312yes—
484C2×#125C2311yescharacteristic
485C2×#125C2311yescharacteristic
486C2×#125C2311yescharacteristic
487C2×#125C2311yescharacteristic
488C2×#125C2312yes—
489C2×#125C2311yescharacteristic
490C2×#125C2312yes—
491C2×#125C2312yes—
492C2×#125C2312yes—
493C2×#125C2312yes—
494C2×#125C2312yes—
495C2×#125C2312yes—
496C2×#124C2311yescharacteristic
497C2×#124C2312yes—
498C2×#124C2311yescharacteristic
499C2×#124C2312yes—
500C2×#124C2312yes—
501C2×#123C2312yes—
502C2×#123C2312yes—
503C2×#123C2312yes—
504C2×#123C2311yescharacteristic
505C2×#123C2311yescharacteristic
506C2×#123C2312yes—
507C2×#123C2312yes—
508C2×C22⋊Q8C2312yes—
509C2×C22⋊Q8C2311yescharacteristic
510C2×C22⋊Q8C2311yescharacteristic
511C2×C22⋊Q8C2312yes—
512C2×C22⋊Q8C2312yes—
513C2×C22⋊Q8C2312yes—
514C2×C22⋊Q8C2312yes—
515C2×C22⋊Q8C2311yescharacteristic
516C2×C22⋊Q8C2311yescharacteristic
517C2×C22⋊Q8C2312yes—
518C2×C22⋊Q8C2312yes—
519C2×C22⋊Q8C2312yes—
520C2×C22⋊Q8C2312yes—
521C2×C22⋊Q8C2312yes—
522C2×C22⋊Q8C2312yes—
523C2×#121C2311yescharacteristic
524C2×#121C2311yescharacteristic
525C2×#121C2311yescharacteristic
526C2×#121C2311yescharacteristic
527C2×#121C2312yes—
528C2×C4×Q8C2311yescharacteristic
529C2×C4×Q8C2311yescharacteristic
530C2×C4×Q8C2311yescharacteristic
531C2×C4×Q8C2311yescharacteristic
532C2×C4×Q8C2312yes—
533C2×C4×Q8C2311yescharacteristic
534C2×C4×Q8C2312yes—
535C2×C4×Q8C2311yescharacteristic
536C2×C4×Q8C2312yes—
537C2×C4×Q8C2312yes—
538C2×C4×Q8C2312yes—
539C2×C4×Q8C2312yes—
540C2×C4×D4C2311yescharacteristic
541C2×C4×D4C2311yescharacteristic
542C2×C4×D4C2311yescharacteristic
543C2×C4×D4C2311yescharacteristic
544C2×C4×D4C2311yescharacteristic
545C2×C4×D4C2311yescharacteristic
546C2×C4×D4C2312yes—
547C2×C4×D4C2311yescharacteristic
548C2×C4×D4C2312yes—
549C2×C4×D4C2312yes—
550C2×C4×D4C2311yescharacteristic
551C2×#117C2311yescharacteristic
552C2×#117C2311yescharacteristic
553C2×#117C2311yescharacteristic
554C2×#117C2311yescharacteristic
555C2×#117C2311yescharacteristic
556C2×#117C2311yescharacteristic
557C2×#117C2311yescharacteristic
558C2×#117C2311yescharacteristic
559C2×#117C2311yescharacteristic
560C2×#117C2311yescharacteristic
561C2×#117C2311yescharacteristic
562C2×#117C2312yes—
563C2×#117C2311yescharacteristic
564C2×#117C2312yes—
565C2×#117C2312yes—
566C2×#117C2312yes—
567C2×#117C2312yes—
568C22×C4⋊C4C2311yescharacteristic
569C22×C4⋊C4C2311yescharacteristic
570C22×C4⋊C4C2311yescharacteristic
571C22×C4⋊C4C2311yescharacteristic
572C22×C4⋊C4C2312yes—
573C22×C42C2311yescharacteristic
574C22×C42C2311yescharacteristic
575C22×C42C2311yescharacteristic
576C22×C42C2312yes—
577#401C2312yes—
578#401C2312yes—
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#400C2312yes—
603#399C2312yes—
604#399C2312yes—
605#399C2312yes—
606#399C2312yes—
607#399C2312yes—
608#399C2312yes—
609#399C2312yes—
610#399C2312yes—
611#399C2312yes—
612#399C2312yes—
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#398C2312yes—
632#398C2312yes—
633#398C2312yes—
634#398C2312yes—
635#398C2312yes—
636#398C2312yes—
637#398C2312yes—
638#398C2312yes—
639#398C2312yes—
640#398C2312yes—
641#398C2312yes—
642#398C2312yes—
643#398C2312yes—
644#398C2312yes—
645#398C2312yes—
646#397C2312yes—
647#397C2312yes—
648#397C2312yes—
649#397C2312yes—
650#397C2312yes—
651#397C2312yes—
652#397C2312yes—
653#397C2312yes—
654#397C2312yes—
655#397C2312yes—
656#397C2312yes—
657#397C2312yes—
658#397C2312yes—
659#397C2312yes—
660#397C2312yes—
661#397C2312yes—
662#397C2312yes—
663#396C2312yes—
664#396C2312yes—
665#396C2312yes—
666#396C2312yes—
667#396C2312yes—
668#396C2312yes—
669#396C2312yes—
670#396C2312yes—
671#396C2312yes—
672#396C2312yes—
673#396C2312yes—
674#396C2312yes—
675#396C2312yes—
676#396C2312yes—
677#396C2312yes—
678#396C2312yes—
679#396C2312yes—
680#396C2312yes—
681#396C2312yes—
682#396C2312yes—
683#396C2312yes—
684#396C2312yes—
685#395C2312yes—
686#395C2312yes—
687#395C2312yes—
688#395C2312yes—
689#395C2312yes—
690#395C2312yes—
691#395C2312yes—
692#395C2312yes—
693#395C2312yes—
694#395C2312yes—
695#395C2312yes—
696#395C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#394C2312yes—
704#394C2312yes—
705#394C2312yes—
706#394C2312yes—
707#394C2312yes—
708#394C2312yes—
709#394C2312yes—
710#394C2312yes—
711#394C2312yes—
712#394C2312yes—
713#394C2312yes—
714#393C2312yes—
715#393C2312yes—
716#393C2312yes—
717#393C2312yes—
718#393C2312yes—
719#393C2312yes—
720#392C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
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734#391C2312yes—
735#391C2312yes—
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741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
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750#391C2311yescharacteristic
751#391C2312yes—
752#391C2312yes—
753#391C2312yes—
754#391C2312yes—
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756#391C2312yes—
757#391C2311yescharacteristic
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
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782#389C2312yes—
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785#389C2312yes—
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790#389C2312yes—
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793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
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801#389C2311yescharacteristic
802#389C2311yescharacteristic
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806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2312yes—
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820#389C2312yes—
821#389C2311yescharacteristic
822#389C2312yes—
823#389C2312yes—
824#389C2312yes—
825#389C2312yes—
826#389C2312yes—
827#389C2312yes—
828#389C2311yescharacteristic
829#389C2312yes—
830#389C2312yes—
831#389C2311yescharacteristic
832#389C2312yes—
833#389C2312yes—
834#389C2312yes—
835#389C2312yes—
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844#389C2312yes—
845#389C2312yes—
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848#389C2312yes—
849#389C2312yes—
850#389C2312yes—
851#389C2312yes—
852#389C2312yes—
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856#389C2312yes—
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866#389C2312yes—
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868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
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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—
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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—
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911#388C2312yes—
912#388C2312yes—
913#388C2312yes—
914#388C2312yes—
915#388C2312yes—
916#388C2312yes—
917#388C2312yes—
918#388C2312yes—
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921#388C2312yes—
922#388C2312yes—
923#388C2312yes—
924#388C2312yes—
925#388C2312yes—
926#388C2312yes—
927#388C2312yes—
928#388C2312yes—
929#388C2312yes—
930#388C2312yes—
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938#388C2312yes—
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945#388C2312yes—
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950#388C2312yes—
951#388C2312yes—
952#388C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
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960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
967#387C2312yes—
968#387C2312yes—
969#387C2312yes—
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971#387C2312yes—
972#387C2312yes—
973#387C2312yes—
974#387C2312yes—
975#387C2312yes—
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979#387C2312yes—
980#387C2312yes—
981#387C2312yes—
982#387C2312yes—
983#387C2312yes—
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1002#387C2312yes—
1003#387C2312yes—
1004#387C2312yes—
1005#387C2312yes—
1006#387C2312yes—
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1010#387C2312yes—
1011#387C2312yes—
1012#387C2312yes—
1013#387C2312yes—
1014#387C2312yes—
1015#387C2312yes—
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1019#387C2312yes—
1020#387C2312yes—
1021#387C2312yes—
1022#387C2312yes—
1023#387C2312yes—
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1026#387C2312yes—
1027#387C2312yes—
1028#387C2312yes—
1029#387C2312yes—
1030#387C2312yes—
1031#387C2312yes—
1032#387C2312yes—
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1037#387C2312yes—
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1043#387C2312yes—
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1045#386C2312yes—
1046#386C2312yes—
1047#386C2312yes—
1048#386C2312yes—
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1053#386C2312yes—
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1060#386C2312yes—
1061#385C2312yes—
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1063#385C2312yes—
1064#385C2312yes—
1065#385C2312yes—
1066#385C2312yes—
1067#385C2312yes—
1068#385C2312yes—
1069#385C2312yes—
1070#385C2312yes—
1071#385C2312yes—
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1075#385C2312yes—
1076#385C2312yes—
1077#385C2312yes—
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1079#385C2312yes—
1080#385C2312yes—
1081#385C2312yes—
1082#385C2312yes—
1083#385C2312yes—
1084#385C2312yes—
1085#385C2312yes—
1086#385C2312yes—
1087#385C2312yes—
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1091#385C2312yes—
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1100#384C2312yes—
1101#384C2312yes—
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1107#383C2312yes—
1108#383C2312yes—
1109#383C2312yes—
1110#383C2312yes—
1111#383C2312yes—
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1116#382C2312yes—
1117#382C2312yes—
1118#382C2312yes—
1119#382C2312yes—
1120#382C2312yes—
1121#382C2312yes—
1122#382C2312yes—
1123#382C2312yes—
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1127#382C2312yes—
1128#381C2312yes—
1129#381C2312yes—
1130#381C2312yes—
1131#381C2312yes—
1132#381C2312yes—
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1136#380C2312yes—
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1138#380C2312yes—
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1153C4×C4⋊C4C2312yes—
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1155C4×C4⋊C4C2312yes—
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1157C4×C4⋊C4C2312yes—
1158C4×C4⋊C4C2312yes—
1159C4×C4⋊C4C2312yes—
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1164C4×C4⋊C4C2312yes—
1165C4×C4⋊C4C2312yes—
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1175C4×C4⋊C4C2312yes—
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1186C4×C4⋊C4C2312yes—
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1193C4×C4⋊C4C2312yes—
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1197C4×C4⋊C4C2312yes—
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1204C4×C4⋊C4C2312yes—
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1214C4×C4⋊C4C2312yes—
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1232C4×C22⋊C4C2312yes—
1233C4×C22⋊C4C2312yes—
1234C4×C22⋊C4C2312yes—
1235C4×C22⋊C4C2312yes—
1236C4×C22⋊C4C2312yes—
1237C4×C22⋊C4C2312yes—
1238C4×C22⋊C4C2312yes—
1239C4×C22⋊C4C2312yes—
1240C4×C22⋊C4C2312yes—
1241C4×C22⋊C4C2312yes—
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1244C4×C22⋊C4C2312yes—
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1248C4×C22⋊C4C2312yes—
1249C4×C22⋊C4C2312yes—
1250C4×C22⋊C4C2312yes—
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1254C4×C22⋊C4C2312yes—
1255C4×C22⋊C4C2312yes—
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1267C4×C22⋊C4C2312yes—
1268C4×C22⋊C4C2312yes—
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1283#376C2312yes—
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1286#376C2312yes—
1287#376C2312yes—
1288#376C2312yes—
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1291C2×#95C2312yes—
1292C2×#95C2312yes—
1293C43C2312yes—
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1300C2×#41—28no—
1301C2×#41—82no—
1302C2×#41—82no—
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1305C22×Q8C2412yes—
1306C22×Q8C2412yes—
1307C22×Q8C2412yes—
1308C22×Q8C2412yes—
1309C22×Q8C2412yes—
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1312C22×D4C2412yes—
1313C22×D4C2411yescharacteristic
1314C22×D4C2412yes—
1315C22×D4C2412yes—
1316C22×D4C2411yescharacteristic
1317C23×C4C2411yescharacteristic
1318C23×C4C2411yescharacteristic
1319C23×C4C2411yescharacteristic
1320C23×C4C2411yescharacteristic
1321C23×C4C2411yescharacteristic
1322C23×C4C2411yescharacteristic
1323C23×C4C2411yescharacteristic
1324C23×C4C2412yes—
1325C23×C4C2411yescharacteristic
1326C23×C4C2412yes—
1327C23×C4C2412yes—
1328C23×C4C2412yes—
1329C23×C4C2412yes—
1330C23×C4C2412yes—
1331C23×C4C2411yescharacteristic
1332C23×C4C2412yes—
1333C4⋊Q8—28no—
1334C4⋊Q8—28no—
1335C4⋊Q8—24no—
1336C4⋊Q8—24no—
1337C4⋊Q8—24no—
1338C4⋊Q8—24no—
1339C4⋊Q8—82no—
1340C4⋊Q8—82no—
1341C4⋊Q8#4118yescomplemented
1342#126—24no—
1343#126—28no—
1344#126—28no—
1345#126—24no—
1346#126—28no—
1347#126—28no—
1348#126—44no—
1349#126—82no—
1350#126—82no—
1351#125—24no—
1352#125—28no—
1353#125—28no—
1354#125—24no—
1355#125—24no—
1356#125—24no—
1357#125—24no—
1358#125—82no—
1359#125—82no—
1360#125—82no—
1361#125—82no—
1362#125—82no—
1363#124—28no—
1364#124—28no—
1365#124—24no—
1366#124—24no—
1367#124—82no—
1368#123—24no—
1369#123—28no—
1370#123—24no—
1371#123—28no—
1372#123—28no—
1373#123—82no—
1374#123—82no—
1375C22⋊Q8—28no—
1376C22⋊Q8—28no—
1377C22⋊Q8—28no—
1378C22⋊Q8—24no—
1379C22⋊Q8—24no—
1380C22⋊Q8—24no—
1381C22⋊Q8—28no—
1382C22⋊Q8—28no—
1383C22⋊Q8—28no—
1384C22⋊Q8—24no—
1385C22⋊Q8—44no—
1386C22⋊Q8—44no—
1387C22⋊Q8—82no—
1388C22⋊Q8—82no—
1389C22⋊Q8—82no—
1390#121—24no—
1391#121—24no—
1392#121—24no—
1393#121—24no—
1394#121—82no—
1395C4×Q8—24no—
1396C4×Q8—28no—
1397C4×Q8—24no—
1398C4×Q8—24no—
1399C4×Q8—24no—
1400C4×Q8—24no—
1401C4×Q8—42no—
1402C4×Q8—44no—
1403C4×Q8—82no—
1404C4×Q8—82no—
1405C4×Q8—82no—
1406C4×Q8—82no—
1407C4×D4—24no—
1408C4×D4—24no—
1409C4×D4—24no—
1410C4×D4—24no—
1411C4×D4—24no—
1412C4×D4—24no—
1413C4×D4—44no—
1414C4×D4—42no—
1415C4×D4—82no—
1416C4×D4—82no—
1417C4×D4#4118yes—
1418#117—24no—
1419#117—24no—
1420#117—24no—
1421#117—24no—
1422#117—24no—
1423#117—24no—
1424#117—24no—
1425#117—24no—
1426#117—24no—
1427#117—24no—
1428#117—24no—
1429#117—44no—
1430#117—42no—
1431#117—82no—
1432#117—82no—
1433#117—82no—
1434#117—82no—
1435C2×C4⋊C4—24no—
1436C2×C4⋊C4—24no—
1437C2×C4⋊C4—24no—
1438C2×C4⋊C4—24no—
1439C2×C4⋊C4—82no—
1440C2×C4⋊C4C2411yescharacteristic
1441C2×C4⋊C4C2411yescharacteristic
1442C2×C4⋊C4C2411yescharacteristic
1443C2×C4⋊C4C2412yes—
1444C2×C4⋊C4C2412yes—
1445C2×C4⋊C4C2411yescharacteristic
1446C2×C4⋊C4C2411yescharacteristic
1447C2×C4⋊C4C2412yes—
1448C2×C4⋊C4C2412yes—
1449C2×C4⋊C4C2411yescharacteristic
1450C2×C4⋊C4C2411yescharacteristic
1451C2×C4⋊C4C2412yes—
1452C2×C4⋊C4C2411yescharacteristic
1453C2×C4⋊C4C2411yescharacteristic
1454C2×C4⋊C4C2411yescharacteristic
1455C2×C4⋊C4C2411yescharacteristic
1456C2×C4⋊C4C2411yescharacteristic
1457C2×C4⋊C4C2411yescharacteristic
1458C2×C4⋊C4C2411yescharacteristic
1459C2×C4⋊C4C2411yescharacteristic
1460C2×C4⋊C4C2411yescharacteristic
1461C2×C4⋊C4C2411yescharacteristic
1462C2×C4⋊C4C2411yescharacteristic
1463C2×C4⋊C4C2411yescharacteristic
1464C2×C4⋊C4C2411yescharacteristic
1465C2×C4⋊C4C2411yescharacteristic
1466C2×C4⋊C4C2411yescharacteristic
1467C2×C4⋊C4C2411yescharacteristic
1468C2×C4⋊C4C2411yescharacteristic
1469C2×C4⋊C4C2412yes—
1470C2×C4⋊C4C2411yescharacteristic
1471C2×C4⋊C4C2411yescharacteristic
1472C2×C4⋊C4C2411yescharacteristic
1473C2×C4⋊C4C2411yescharacteristic
1474C2×C4⋊C4C2412yes—
1475C2×C4⋊C4C2412yes—
1476C2×C4⋊C4C2412yes—
1477C2×C4⋊C4C2411yescharacteristic
1478C2×C4⋊C4C2411yescharacteristic
1479C2×C4⋊C4C2411yescharacteristic
1480C2×C4⋊C4C2412yes—
1481C2×C4⋊C4C2411yescharacteristic
1482C2×C4⋊C4C2411yescharacteristic
1483C2×C4⋊C4C2412yes—
1484C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1495C2×C4⋊C4C2412yes—
1496C2×C4⋊C4C2412yes—
1497C2×C4⋊C4C2412yes—
1498C2×C4⋊C4C2412yes—
1499C2×C4⋊C4C2412yes—
1500C2×C4⋊C4C2412yes—
1501C2×C4⋊C4C2412yes—
1502C2×C4⋊C4C2412yes—
1503C2×C4⋊C4C2412yes—
1504C2×C4⋊C4C2412yes—
1505C2×C4⋊C4C2412yes—
1506C2×C4⋊C4C2412yes—
1507C2×C4⋊C4C2412yes—
1508C2×C4⋊C4C2412yes—
1509C2×C4⋊C4C2412yes—
1510C2×C4⋊C4C2412yes—
1511C2×C4⋊C4C2412yes—
1512C2×C4⋊C4C2412yes—
1513C2×C4⋊C4C2412yes—
1514C2×C4⋊C4C2411yescharacteristic
1515C2×C4⋊C4C2412yes—
1516C2×C4⋊C4C2412yes—
1517C2×C4⋊C4C2412yes—
1518C2×C4⋊C4C2412yes—
1519C2×C4⋊C4C2412yes—
1520C2×C4⋊C4C2412yes—
1521C2×C4⋊C4C2412yes—
1522C2×C4⋊C4C2412yes—
1523C2×C4⋊C4C2412yes—
1524C2×C4⋊C4C2412yes—
1525C2×C4⋊C4C2411yescharacteristic
1526C2×C4⋊C4C2412yes—
1527C2×C4⋊C4C2411yescharacteristic
1528C2×C4⋊C4C2411yescharacteristic
1529C2×C4⋊C4C2411yescharacteristic
1530C2×C4⋊C4C2412yes—
1531C2×C4⋊C4C2412yes—
1532C2×C4⋊C4C2412yes—
1533C2×C4⋊C4C2412yes—
1534C2×C4⋊C4C2412yes—
1535C2×C4⋊C4C2412yes—
1536C2×C4⋊C4C2412yes—
1537C2×C4⋊C4C2412yes—
1538C2×C4⋊C4C2412yes—
1539C2×C4⋊C4C2412yes—
1540C2×C4⋊C4C2412yes—
1541C2×C4⋊C4C2411yescharacteristic
1542C2×C4⋊C4C2412yes—
1543C2×C4⋊C4C2412yes—
1544C2×C4⋊C4C2412yes—
1545C2×C4⋊C4C2412yes—
1546C2×C4⋊C4C2412yes—
1547C2×C4⋊C4C2412yes—
1548C2×C4⋊C4C2412yes—
1549C2×C4⋊C4C2412yes—
1550C2×C4⋊C4C2412yes—
1551C2×C4⋊C4C2412yes—
1552C2×C4⋊C4C2411yescharacteristic
1553C2×C4⋊C4C2411yescharacteristic
1554C2×C4⋊C4C2411yescharacteristic
1555C2×C4⋊C4C2412yes—
1556C2×C4⋊C4C2411yescharacteristic
1557C2×C22⋊C4C2412yes—
1558C2×C22⋊C4C2411yescharacteristic
1559C2×C22⋊C4C2411yescharacteristic
1560C2×C22⋊C4C2412yes—
1561C2×C22⋊C4C2412yes—
1562C2×C22⋊C4C2411yescharacteristic
1563C2×C22⋊C4C2411yescharacteristic
1564C2×C22⋊C4C2411yescharacteristic
1565C2×C22⋊C4C2411yescharacteristic
1566C2×C22⋊C4C2411yescharacteristic
1567C2×C22⋊C4C2411yescharacteristic
1568C2×C22⋊C4C2411yescharacteristic
1569C2×C22⋊C4C2411yescharacteristic
1570C2×C22⋊C4C2411yescharacteristic
1571C2×C22⋊C4C2412yes—
1572C2×C22⋊C4C2412yes—
1573C2×C22⋊C4C2411yescharacteristic
1574C2×C22⋊C4C2411yescharacteristic
1575C2×C22⋊C4C2411yescharacteristic
1576C2×C22⋊C4C2411yescharacteristic
1577C2×C22⋊C4C2411yescharacteristic
1578C2×C22⋊C4C2411yescharacteristic
1579C2×C22⋊C4C2412yes—
1580C2×C22⋊C4C2411yescharacteristic
1581C2×C22⋊C4C2411yescharacteristic
1582C2×C22⋊C4C2412yes—
1583C2×C22⋊C4C2411yescharacteristic
1584C2×C22⋊C4C2411yescharacteristic
1585C2×C22⋊C4C2412yes—
1586C2×C22⋊C4C2411yescharacteristic
1587C2×C22⋊C4C2412yes—
1588C2×C22⋊C4C2412yes—
1589C2×C22⋊C4C2412yes—
1590C2×C22⋊C4C2412yes—
1591C2×C22⋊C4C2412yes—
1592C2×C22⋊C4C2412yes—
1593C2×C22⋊C4C2412yes—
1594C2×C22⋊C4C2412yes—
1595C2×C22⋊C4C2412yes—
1596C2×C22⋊C4C2412yes—
1597C2×C22⋊C4C2412yes—
1598C2×C22⋊C4C2411yescharacteristic
1599C2×C22⋊C4C2412yes—
1600C2×C22⋊C4C2412yes—
1601C2×C22⋊C4C2412yes—
1602C2×C22⋊C4C2412yes—
1603C2×C22⋊C4C2412yes—
1604C2×C22⋊C4C2412yes—
1605C2×C22⋊C4C2412yes—
1606C2×C22⋊C4C2411yescharacteristic
1607C2×C22⋊C4C2412yes—
1608C2×C22⋊C4C2411yescharacteristic
1609C2×C22⋊C4C2412yes—
1610C2×C22⋊C4C2412yes—
1611C2×C22⋊C4C2411yescharacteristic
1612C2×C22⋊C4C2412yes—
1613C2×C22⋊C4C2412yes—
1614C2×C22⋊C4C2412yes—
1615C2×C22⋊C4C2412yes—
1616C2×C22⋊C4C2412yes—
1617C2×C22⋊C4C2412yes—
1618C2×C22⋊C4C2412yes—
1619C2×C22⋊C4C2412yes—
1620C2×C22⋊C4C2412yes—
1621C2×C22⋊C4C2412yes—
1622C2×C22⋊C4C2411yescharacteristic
1623C2×C22⋊C4C2411yescharacteristic
1624C2×C22⋊C4C2412yes—
1625C2×C22⋊C4C2412yes—
1626C2×C22⋊C4C2411yescharacteristic
1627C2×C22⋊C4C2411yescharacteristic
1628C2×C42—24no—
1629C2×C42—24no—
1630C2×C42—24no—
1631C2×C42—82no—
1632C2×C42C2411yescharacteristic
1633C2×C42C2411yescharacteristic
1634C2×C42C2411yescharacteristic
1635C2×C42C2411yescharacteristic
1636C2×C42C2412yes—
1637C2×C42C2412yes—
1638C2×C42C2411yescharacteristic
1639C2×C42C2411yescharacteristic
1640C2×C42C2412yes—
1641C2×C42C2412yes—
1642C2×C42C2411yescharacteristic
1643C2×C42C2411yescharacteristic
1644C2×C42C2411yescharacteristic
1645C2×C42C2411yescharacteristic
1646C2×C42C2411yescharacteristic
1647C2×C42C2411yescharacteristic
1648C2×C42C2412yes—
1649C2×C42C2412yes—
1650C2×C42C2411yescharacteristic
1651C2×C42C2411yescharacteristic
1652C2×C42C2411yescharacteristic
1653C2×C42C2412yes—
1654C2×C42C2411yescharacteristic
1655C2×C42C2411yescharacteristic
1656C2×C42C2412yes—
1657C2×C42C2411yescharacteristic
1658C2×C42C2411yescharacteristic
1659C2×C42C2411yescharacteristic
1660C2×C42C2411yescharacteristic
1661C2×C42C2411yescharacteristic
1662C2×C42C2411yescharacteristic
1663C2×C42C2411yescharacteristic
1664C2×C42C2412yes—
1665C2×C42C2412yes—
1666C2×C42C2412yes—
1667C2×C42C2412yes—
1668C2×C42C2412yes—
1669C2×C42C2411yescharacteristic
1670C2×C42C2412yes—
1671C2×C42C2412yes—
1672C2×C42C2412yes—
1673C2×C42C2412yes—
1674C2×C42C2411yescharacteristic
1675C2×C42C2411yescharacteristic
1676C2×C42C2411yescharacteristic
1677C2×C42C2412yes—
1678C2×C42C2411yescharacteristic
1679C2×C42C2411yescharacteristic
1680C2×C42C2412yes—
1681C2×C42C2411yescharacteristic
1682C2×C42C2411yescharacteristic
1683C2×C42C2412yes—
1684C2×C42C2412yes—
1685C2×C42C2412yes—
1686C2×C42C2412yes—
1687C2×C42C2412yes—
1688C2×C42C2411yescharacteristic
1689C2×C42C2411yescharacteristic
1690C2×C42C2411yescharacteristic
1691C2×C42C2411yescharacteristic
1692C2×C42C2411yescharacteristic
1693C2×C42C2412yes—
1694C2×C42C2411yescharacteristic
1695C2×C42C2411yescharacteristic
1696C2×C42C2411yescharacteristic
1697C2×C42C2411yescharacteristic
1698C2×C42C2411yescharacteristic
1699#95C2411yescharacteristic
1700#95C2412yes—
1701#95C2412yes—
1702#95C2412yes—
1703#95C2412yes—
1704#95C2412yes—
1705#95C2412yes—
1706#95C2412yes—
1707#95C2412yes—
1708#95C2412yes—
1709#95C2412yes—
1710#95C2411yescharacteristic
1711#95C2411yescharacteristic
1712#95C2412yes—
1713#95C2411yescharacteristic
1714#95C2411yescharacteristic
1715#95C2411yescharacteristic
1716#95C2411yescharacteristic
1717#95C2411yescharacteristic
1718#95C2411yescharacteristic
1719#95C2411yescharacteristic
1720#95C2411yescharacteristic
1721#95C2411yescharacteristic
1722#95C2412yes—
1723#95C2412yes—
1724#95C2411yescharacteristic
1725#95C2411yescharacteristic
1726#95C2412yes—
1727#95C2411yescharacteristic
1728#95C2411yescharacteristic
1729#95C2411yescharacteristic
1730#95C2412yes—
1731#95C2412yes—
1732#95C2411yescharacteristic
1733#95C2412yes—
1734#95C2411yescharacteristic
1735#95C2411yescharacteristic
1736#95C2412yes—
1737#95C2411yescharacteristic
1738#95C2411yescharacteristic
1739#95C2411yescharacteristic
1740#95C2411yescharacteristic
1741#95C2411yescharacteristic
1742#95C2412yes—
1743#95C2412yes—
1744#95C2412yes—
1745#95C2412yes—
1746#95C2412yes—
1747#95C2412yes—
1748#95C2412yes—
1749#95C2412yes—
1750#95C2412yes—
1751#95C2412yes—
1752#95C2412yes—
1753#95C2412yes—
1754#95C2411yescharacteristic
1755#95C2412yes—
1756#95C2411yescharacteristic
1757#95C2411yescharacteristic
1758#95C2411yescharacteristic
1759#95C2412yes—
1760#95C2412yes—
1761#95C2412yes—
1762#95C2412yes—
1763#95C2412yes—
1764#95C2412yes—
1765#95C2412yes—
1766#95C2411yescharacteristic
1767#95C2412yes—
1768#95C2412yes—
1769#95C2411yescharacteristic
1770#95C2412yes—
1771#95C2412yes—
1772#95C2412yes—
1773#95C2412yes—
1774#95C2412yes—
1775#95C2412yes—
1776#95C2412yes—
1777#95C2412yes—
1778#95C2411yescharacteristic
1779#95C2412yes—
1780#95C2412yes—
1781#95C2412yes—
1782#95C2412yes—
1783#95C2412yes—
1784#95C2411yescharacteristic
1785#95C2411yescharacteristic
1786#95C2412yes—
1787#95C2412yes—
1788#95C2411yescharacteristic
1789#95C2411yescharacteristic
1790#95C2412yes—
1791#95C2412yes—
1792#95C2412yes—
1793#95C2412yes—
1794#95C2412yes—
1795#95C2412yes—
1796#95C2412yes—
1797#95C2412yes—
1798#95C2412yes—
1799#95C2412yes—
1800#95C2412yes—
1801#95C2412yes—
1802#95C2412yes—
1803#95C2412yes—
1804#95C2412yes—
1805#95C2412yes—
1806#95C2412yes—
1807#95C2412yes—
1808#95C2412yes—
1809#95C2412yes—
1810#95C2412yes—
1811#95C2412yes—
1812#95C2411yescharacteristic
1813#95C2412yes—
1814#95C2411yescharacteristic
1815#95C2411yescharacteristic
1816#95C2411yescharacteristic
1817#95C2412yes—
1818#95C2412yes—
1819#95C2412yes—
1820#95C2412yes—
1821#95C2412yes—
1822#95C2412yes—
1823#95C2412yes—
1824#95C2412yes—
1825C24C2511yescharacteristic
1826C24C2512yes—
1827C24C2511yescharacteristic
1828C24C2511yescharacteristic
1829#41—816no—
1830C2×Q8—22no—
1831C2×Q8—22no—
1832C2×Q8—22no—
1833C2×Q8—24no—
1834C2×Q8—24no—
1835C2×Q8—24no—
1836C2×Q8—24no—
1837C2×Q8—22no—
1838C2×Q8—22no—
1839C2×Q8—41no—
1840C2×Q8—42no—
1841C2×Q8—42no—
1842C2×Q8—42no—
1843C2×Q8—42no—
1844C2×Q8—42no—
1845C2×Q8—42no—
1846C2×Q8—42no—
1847C2×Q8—42no—
1848C2×Q8—42no—
1849C2×Q8—42no—
1850C2×Q8C2×#4118yes—
1851C2×D4—22no—
1852C2×D4—24no—
1853C2×D4—22no—
1854C2×D4—24no—
1855C2×D4—22no—
1856C2×D4—22no—
1857C2×D4—24no—
1858C2×D4—22no—
1859C2×D4—22no—
1860C2×D4—41no—
1861C2×D4—42no—
1862C2×D4—42no—
1863C2×D4—41no—
1864C2×D4—41no—
1865C2×D4—42no—
1866C2×D4—41no—
1867C2×D4—42no—
1868C2×D4—42no—
1869C2×D4—41no—
1870C2×D4—42no—
1871C2×D4C2×#4114yes—
1872C22×C4—22no—
1873C22×C4—22no—
1874C22×C4—22no—
1875C22×C4—22no—
1876C22×C4—22no—
1877C22×C4—24no—
1878C22×C4—22no—
1879C22×C4—24no—
1880C22×C4—22no—
1881C22×C4—22no—
1882C22×C4—22no—
1883C22×C4—22no—
1884C22×C4—22no—
1885C22×C4—22no—
1886C22×C4—22no—
1887C22×C4—22no—
1888C22×C4—22no—
1889C22×C4—22no—
1890C22×C4—24no—
1891C22×C4—24no—
1892C22×C4—24no—
1893C22×C4—24no—
1894C22×C4—22no—
1895C22×C4—24no—
1896C22×C4—41no—
1897C22×C4—42no—
1898C22×C4—41no—
1899C22×C4—41no—
1900C22×C4—41no—
1901C22×C4—42no—
1902C22×C4—42no—
1903C22×C4—41no—
1904C22×C4—42no—
1905C22×C4—42no—
1906C22×C4—42no—
1907C22×C4—42no—
1908C22×C4—41no—
1909C22×C4—42no—
1910C22×C4—41no—
1911C22×C4—42no—
1912C22×C4—42no—
1913C22×C4—42no—
1914C22×C4—42no—
1915C22×C4—42no—
1916C22×C4—41no—
1917C22×C4—42no—
1918C22×C4C2×#4114yes—
1919C22×C4C2×#4114yes—
1920C22×C4C2511yescharacteristic
1921C22×C4C2511yescharacteristic
1922C22×C4C2512yes—
1923C22×C4C2511yescharacteristic
1924C22×C4C2511yescharacteristic
1925C22×C4C2512yes—
1926C22×C4C2511yescharacteristic
1927C22×C4C2512yes—
1928C22×C4C2511yescharacteristic
1929C22×C4C2511yescharacteristic
1930C22×C4C2511yescharacteristic
1931C22×C4C2512yes—
1932C22×C4C2511yescharacteristic
1933C22×C4C2511yescharacteristic
1934C22×C4C2512yes—
1935C22×C4C2512yes—
1936C22×C4C2512yes—
1937C22×C4C2511yescharacteristic
1938C22×C4C2511yescharacteristic
1939C22×C4C2512yes—
1940C22×C4C2512yes—
1941C22×C4C2512yes—
1942C22×C4C2512yes—
1943C22×C4C2511yescharacteristic
1944C22×C4C2511yescharacteristic
1945C22×C4C2512yes—
1946C22×C4C2512yes—
1947C22×C4C2511yescharacteristic
1948C22×C4C2511yescharacteristic
1949C22×C4C2511yescharacteristic
1950C22×C4C2511yescharacteristic
1951C22×C4C2511yescharacteristic
1952C22×C4C2512yes—
1953C22×C4C2512yes—
1954C22×C4C2511yescharacteristic
1955C22×C4C2511yescharacteristic
1956C22×C4C2511yescharacteristic
1957C22×C4C2511yescharacteristic
1958C22×C4C2511yescharacteristic
1959C22×C4C2511yescharacteristic
1960C22×C4C2511yescharacteristic
1961C22×C4C2511yescharacteristic
1962C22×C4C2511yescharacteristic
1963C4⋊C4—22no—
1964C4⋊C4—22no—
1965C4⋊C4—22no—
1966C4⋊C4—24no—
1967C4⋊C4—24no—
1968C4⋊C4—24no—
1969C4⋊C4—24no—
1970C4⋊C4—22no—
1971C4⋊C4—22no—
1972C4⋊C4—22no—
1973C4⋊C4—22no—
1974C4⋊C4—22no—
1975C4⋊C4—22no—
1976C4⋊C4—22no—
1977C4⋊C4—22no—
1978C4⋊C4—22no—
1979C4⋊C4—22no—
1980C4⋊C4—22no—
1981C4⋊C4—22no—
1982C4⋊C4—22no—
1983C4⋊C4—22no—
1984C4⋊C4—22no—
1985C4⋊C4—22no—
1986C4⋊C4—22no—
1987C4⋊C4—22no—
1988C4⋊C4—22no—
1989C4⋊C4—22no—
1990C4⋊C4—24no—
1991C4⋊C4—24no—
1992C4⋊C4—24no—
1993C4⋊C4—22no—
1994C4⋊C4—22no—
1995C4⋊C4—24no—
1996C4⋊C4—24no—
1997C4⋊C4—24no—
1998C4⋊C4—24no—
1999C4⋊C4—24no—
2000C4⋊C4—24no—
2001C4⋊C4—24no—
2002C4⋊C4—24no—
2003C4⋊C4—24no—
2004C4⋊C4—24no—
2005C4⋊C4—24no—
2006C4⋊C4—24no—
2007C4⋊C4—24no—
2008C4⋊C4—24no—
2009C4⋊C4—22no—
2010C4⋊C4—22no—
2011C4⋊C4—22no—
2012C4⋊C4—22no—
2013C4⋊C4—22no—
2014C4⋊C4—22no—
2015C4⋊C4—24no—
2016C4⋊C4—22no—
2017C4⋊C4—24no—
2018C4⋊C4—24no—
2019C4⋊C4—22no—
2020C4⋊C4—24no—
2021C4⋊C4—24no—
2022C4⋊C4—22no—
2023C4⋊C4—24no—
2024C4⋊C4—42no—
2025C4⋊C4—42no—
2026C4⋊C4—42no—
2027C4⋊C4—42no—
2028C4⋊C4—41no—
2029C4⋊C4—42no—
2030C4⋊C4—42no—
2031C4⋊C4—42no—
2032C4⋊C4—42no—
2033C4⋊C4—42no—
2034C4⋊C4—42no—
2035C4⋊C4—42no—
2036C4⋊C4—42no—
2037C4⋊C4—42no—
2038C4⋊C4—42no—
2039C4⋊C4—42no—
2040C4⋊C4—41no—
2041C4⋊C4—42no—
2042C4⋊C4—42no—
2043C4⋊C4—42no—
2044C4⋊C4—42no—
2045C4⋊C4—42no—
2046C4⋊C4—42no—
2047C4⋊C4—42no—
2048C4⋊C4—42no—
2049C4⋊C4—42no—
2050C4⋊C4—42no—
2051C4⋊C4—42no—
2052C4⋊C4—41no—
2053C4⋊C4—41no—
2054C4⋊C4—41no—
2055C4⋊C4—42no—
2056C4⋊C4—42no—
2057C4⋊C4—42no—
2058C4⋊C4—42no—
2059C4⋊C4—42no—
2060C4⋊C4—42no—
2061C4⋊C4—42no—
2062C4⋊C4—42no—
2063C4⋊C4—42no—
2064C4⋊C4—41no—
2065C4⋊C4—42no—
2066C4⋊C4—42no—
2067C4⋊C4—42no—
2068C4⋊C4—42no—
2069C4⋊C4—42no—
2070C4⋊C4—42no—
2071C4⋊C4—42no—
2072C4⋊C4—42no—
2073C4⋊C4—42no—
2074C4⋊C4—42no—
2075C4⋊C4C2×#4114yes—
2076C4⋊C4C2×#4114yes—
2077C4⋊C4C2×#4114yes—
2078C4⋊C4C2×#4118yes—
2079C4⋊C42−1+414yes—
2080C22⋊C4—22no—
2081C22⋊C4—22no—
2082C22⋊C4—24no—
2083C22⋊C4—24no—
2084C22⋊C4—22no—
2085C22⋊C4—22no—
2086C22⋊C4—24no—
2087C22⋊C4—24no—
2088C22⋊C4—22no—
2089C22⋊C4—24no—
2090C22⋊C4—24no—
2091C22⋊C4—22no—
2092C22⋊C4—22no—
2093C22⋊C4—22no—
2094C22⋊C4—22no—
2095C22⋊C4—22no—
2096C22⋊C4—22no—
2097C22⋊C4—22no—
2098C22⋊C4—24no—
2099C22⋊C4—22no—
2100C22⋊C4—24no—
2101C22⋊C4—22no—
2102C22⋊C4—24no—
2103C22⋊C4—24no—
2104C22⋊C4—24no—
2105C22⋊C4—24no—
2106C22⋊C4—24no—
2107C22⋊C4—24no—
2108C22⋊C4—22no—
2109C22⋊C4—22no—
2110C22⋊C4—22no—
2111C22⋊C4—22no—
2112C22⋊C4—22no—
2113C22⋊C4—22no—
2114C22⋊C4—24no—
2115C22⋊C4—24no—
2116C22⋊C4—24no—
2117C22⋊C4—24no—
2118C22⋊C4—24no—
2119C22⋊C4—22no—
2120C22⋊C4—22no—
2121C22⋊C4—41no—
2122C22⋊C4—42no—
2123C22⋊C4—41no—
2124C22⋊C4—42no—
2125C22⋊C4—42no—
2126C22⋊C4—42no—
2127C22⋊C4—42no—
2128C22⋊C4—42no—
2129C22⋊C4—42no—
2130C22⋊C4—42no—
2131C22⋊C4—42no—
2132C22⋊C4—41no—
2133C22⋊C4—41no—
2134C22⋊C4—42no—
2135C22⋊C4—42no—
2136C22⋊C4—42no—
2137C22⋊C4—42no—
2138C22⋊C4—42no—
2139C22⋊C4—42no—
2140C22⋊C4—42no—
2141C22⋊C4—42no—
2142C22⋊C4—42no—
2143C22⋊C4—42no—
2144C22⋊C4—42no—
2145C22⋊C4—41no—
2146C22⋊C4—42no—
2147C22⋊C4—42no—
2148C22⋊C4—41no—
2149C22⋊C4C2×#4114yes—
2150C22⋊C4C2×#4114yes—
2151C42—22no—
2152C42—22no—
2153C42—22no—
2154C42—22no—
2155C42—22no—
2156C42—22no—
2157C42—24no—
2158C42—24no—
2159C42—24no—
2160C42—24no—
2161C42—22no—
2162C42—22no—
2163C42—24no—
2164C42—24no—
2165C42—22no—
2166C42—22no—
2167C42—22no—
2168C42—22no—
2169C42—22no—
2170C42—22no—
2171C42—22no—
2172C42—22no—
2173C42—22no—
2174C42—22no—
2175C42—22no—
2176C42—22no—
2177C42—22no—
2178C42—24no—
2179C42—24no—
2180C42—22no—
2181C42—22no—
2182C42—42no—
2183C42—42no—
2184C42—42no—
2185C42—42no—
2186C42—42no—
2187C42—41no—
2188C42—41no—
2189C42—42no—
2190C42—42no—
2191C42—42no—
2192C42—42no—
2193C42—42no—
2194C42—41no—
2195C42—42no—
2196C42—42no—
2197C42—42no—
2198C42—42no—
2199C42—41no—
2200C42—41no—
2201C42—41no—
2202C42—42no—
2203C42—41no—
2204C42—41no—
2205C42—41no—
2206C42—42no—
2207C42—41no—
2208C42—41no—
2209C42—41no—
2210C42—41no—
2211C42—42no—
2212C42—41no—
2213C42—41no—
2214C42—41no—
2215C42C2×#4114yes—
2216C42C2×#4114yes—
2217C422−1+414yes—
2218C23—21no—
2219C23—21no—
2220C23—21no—
2221C23—21no—
2222C23—21no—
2223C23—21no—
2224C23—21no—
2225C23—21no—
2226C23—21no—
2227C23—21no—
2228C23—21no—
2229C23—21no—
2230C23—22no—
2231C23—21no—
2232C23—21no—
2233C23—22no—
2234C23—22no—
2235C23—21no—
2236C23—22no—
2237C23—21no—
2238C23—22no—
2239C23—21no—
2240C23—21no—
2241C23—22no—
2242C23—21no—
2243C23—22no—
2244C23C22×#4112yes—
2245C23C22×#4112yes—
2246C23C2611yescharacteristic
2247Q8—48no—
2248Q8—44no—
2249Q8—44no—
2250Q8—84no—
2251Q8—84no—
2252Q8—84no—
2253Q8—84no—
2254D4—44no—
2255D4—44no—
2256D4—48no—
2257D4—44no—
2258D4—84no—
2259D4—82no—
2260D4—84no—
2261C2×C4—21no—
2262C2×C4—21no—
2263C2×C4—21no—
2264C2×C4—21no—
2265C2×C4—21no—
2266C2×C4—21no—
2267C2×C4—21no—
2268C2×C4—21no—
2269C2×C4—21no—
2270C2×C4—21no—
2271C2×C4—21no—
2272C2×C4—21no—
2273C2×C4—21no—
2274C2×C4—21no—
2275C2×C4—21no—
2276C2×C4—22no—
2277C2×C4—22no—
2278C2×C4—21no—
2279C2×C4—21no—
2280C2×C4—21no—
2281C2×C4—21no—
2282C2×C4—21no—
2283C2×C4—22no—
2284C2×C4—21no—
2285C2×C4—21no—
2286C2×C4—22no—
2287C2×C4—21no—
2288C2×C4—21no—
2289C2×C4—28no—
2290C2×C4—28no—
2291C2×C4—21no—
2292C2×C4—22no—
2293C2×C4—21no—
2294C2×C4—21no—
2295C2×C4—21no—
2296C2×C4—21no—
2297C2×C4—22no—
2298C2×C4—22no—
2299C2×C4—22no—
2300C2×C4—22no—
2301C2×C4—21no—
2302C2×C4—22no—
2303C2×C4—21no—
2304C2×C4—22no—
2305C2×C4—21no—
2306C2×C4—21no—
2307C2×C4—21no—
2308C2×C4—21no—
2309C2×C4—21no—
2310C2×C4—21no—
2311C2×C4—22no—
2312C2×C4—22no—
2313C2×C4—22no—
2314C2×C4—22no—
2315C2×C4—22no—
2316C2×C4—21no—
2317C2×C4—21no—
2318C2×C4—21no—
2319C2×C4—21no—
2320C2×C4—21no—
2321C2×C4—21no—
2322C2×C4—22no—
2323C2×C4—22no—
2324C2×C4—21no—
2325C2×C4—21no—
2326C2×C4—21no—
2327C2×C4—22no—
2328C2×C4—21no—
2329C2×C4—22no—
2330C2×C4—22no—
2331C2×C4—22no—
2332C2×C4—21no—
2333C2×C4—21no—
2334C2×C4—22no—
2335C2×C4—21no—
2336C2×C4—22no—
2337C2×C4—21no—
2338C2×C4—21no—
2339C2×C4—21no—
2340C2×C4—22no—
2341C2×C4—21no—
2342C2×C4—22no—
2343C2×C4—22no—
2344C2×C4—21no—
2345C2×C4—21no—
2346C2×C4—21no—
2347C2×C4—22no—
2348C2×C4—21no—
2349C2×C4—21no—
2350C2×C4—21no—
2351C2×C4—22no—
2352C2×C4—22no—
2353C2×C4—22no—
2354C2×C4—22no—
2355C2×C4—21no—
2356C2×C4—21no—
2357C2×C4—22no—
2358C2×C4—22no—
2359C2×C4—21no—
2360C2×C4—21no—
2361C2×C4—21no—
2362C2×C4—21no—
2363C2×C4—22no—
2364C2×C4—22no—
2365C2×C4—21no—
2366C2×C4—22no—
2367C2×C4—22no—
2368C2×C4—21no—
2369C2×C4—22no—
2370C2×C4—21no—
2371C2×C4—22no—
2372C2×C4—22no—
2373C2×C4—22no—
2374C2×C4—22no—
2375C2×C4—44no—
2376C2×C4—44no—
2377C2×C4—44no—
2378C2×C4—44no—
2379C2×C4—48no—
2380C2×C4—44no—
2381C2×C4—84no—
2382C2×C4—84no—
2383C2×C4—84no—
2384C2×C4—82no—
2385C2×C4—84no—
2386C2×C4—84no—
2387C2×C4—82no—
2388C2×C4—84no—
2389C2×C4C22×#4112yes—
2390C2×C4C22×#4112yes—
2391C2×C4C22×#4112yes—
2392C2×C4C22×#4114yes—
2393C2×C4C22×#4114yes—
2394C2×C4C22×#4112yes—
2395C2×C4C22×#4112yes—
2396C2×C4C22×#4112yes—
2397C2×C4C22×#4112yes—
2398C2×C4C22×#4112yes—
2399C2×C4C2×2−1+412yes—
2400C2×C4C2×2−1+412yes—
2401C2×C4C2×2−1+412yes—
2402C2×C4C2×2−1+412yes—
2403C2×C4C2×2−1+412yes—
2404C2×C4C2×2−1+412yes—
2405C2×C4#58512yes—
2406C22—22no—
2407C22—22no—
2408C22—22no—
2409C22—22no—
2410C22—22no—
2411C22—22no—
2412C22—41no—
2413C22—41no—
2414C22—41no—
2415C22—41no—
2416C22—41no—
2417C22—41no—
2418C22—41no—
2419C22—41no—
2420C22—42no—
2421C22—41no—
2422C22—42no—
2423C22—41no—
2424C22—41no—
2425C22—42no—
2426C22—42no—
2427C22—41no—
2428C22—41no—
2429C22—42no—
2430C22—41no—
2431C22—42no—
2432C22—41no—
2433C22—42no—
2434C22C23×#4111yescharacteristic
2435C22C23×#4111yescharacteristic
2436C22C22×2−1+411yescharacteristic
2437C22C22×2−1+411yescharacteristic
2438C22C2×#58511yescharacteristic
2439C22H(7,𝔽2)11yescharacteristic
2440C22H(7,𝔽2)11yescharacteristic
2441C4—24no—
2442C4—24no—
2443C4—22no—
2444C4—22no—
2445C4—22no—
2446C4—22no—
2447C4—22no—
2448C4—22no—
2449C4—22no—
2450C4—22no—
2451C4—22no—
2452C4—22no—
2453C4—22no—
2454C4—22no—
2455C4—41no—
2456C4—42no—
2457C4—42no—
2458C4—41no—
2459C4—41no—
2460C4—41no—
2461C4—41no—
2462C4—41no—
2463C4—42no—
2464C4—42no—
2465C4—42no—
2466C4—41no—
2467C4—41no—
2468C4—42no—
2469C4—42no—
2470C4—41no—
2471C4—41no—
2472C4—42no—
2473C4—41no—
2474C4—42no—
2475C4—42no—
2476C4—41no—
2477C4—41no—
2478C4—42no—
2479C4—41no—
2480C4—42no—
2481C4—41no—
2482C4—42no—
2483C4#348214yes—
2484C2—42no—
2485C2—42no—
2486C2—82no—
2487C2—81no—
2488C2C2×#348211yescharacteristic
2489C2#6280511yescharacteristic
2490C2#6285511yescharacteristic
2491C2#6294511yescharacteristic
2492C2#6295811yescharacteristic
2493C2#6299211yescharacteristic
2494C2#6299911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38041C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60035C2semidirect
2. #60012C2semidirect
3. #59991C2semidirect
4. #59931C2semidirect
5. #59757C2semidirect
6. #59697C2semidirect
7. #59535C2semidirect
8. #59395C2semidirect
9. #44741C2semidirect
10. #44661C2semidirect
11. #44410C2semidirect
12. #44268C2semidirect
13. #43872C2semidirect
14. #43798C2semidirect
15. #43475C2semidirect
16. #43386C2semidirect
17. #39547C2semidirect
18. #39546C2semidirect
19. #39488C2semidirect
20. #39425C2semidirect
21. #39424C2semidirect
22. #39365C2semidirect
23. #39296C2semidirect
24. #39292C2semidirect
25. #38262C2semidirect
26. #38261C2semidirect
27. #38051C2semidirect
29. #36601C2semidirect
30. #36563C2semidirect
31. #36391C2semidirect
32. #36280C2semidirect
33. #35643C2semidirect
34. #35613C2semidirect
35. #35589C2semidirect
36. #35580C2semidirect
37. #35300C2semidirect
38. #35294C2semidirect
39. #35269C2semidirect
40. #34797C2semidirect
41. #34772C2semidirect
42. #34307C2semidirect
43. #34298C2semidirect
44. #34279C2semidirect
45. #34272C2semidirect
46. #34151C2semidirect
47. C4×#544C2semidirect
1341. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600352
#600122
#599912
#599312
#597572
#596972
#595352
#593952
#447412
#446612
#444102
#442682
#438722
#437982
#434752
#433862
#395472
#395462
#394882
#394252
#394242
#393652
#392962
#392922
#382622
#382612
#380512
#380412
#366012
#365632
#363912
#362802
#356432
#356132
#355892
#355802
#353002
#352942
#352692
#347972
#347722
#343072
#342982
#342792
#342722
#341512
C4×#5442