Finite Group Databasebeta

← #7684632

Subgroups — #7684632

Order 512.

5070 conjugacy classes of subgroups.

The subgroup lattice has 2597 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59775C212yesmaximal, complemented
2#59723C212yesmaximal, complemented
3#59672C211yesmaximal, characteristic, complemented
4#59633C211yesmaximal, characteristic, complemented
5#59627C211yesmaximal, characteristic, complemented
6#59588C212yesmaximal, complemented
7#59580C211yesmaximal, characteristic, complemented
8#59446C212yesmaximal, complemented
9#59440C211yesmaximal, characteristic, complemented
10#59180C212yesmaximal, complemented
11#45014C211yesmaximal, characteristic, complemented
12#45011C211yesmaximal, characteristic, complemented
13#44882C211yesmaximal, characteristic, complemented
14#44878C211yesmaximal, characteristic, complemented
15#44402C212yesmaximal, complemented
16#44232C212yesmaximal, complemented
17#44070C212yesmaximal, complemented
18#44066C212yesmaximal, complemented
19#40287C212yesmaximal, complemented
20#40271C212yesmaximal, complemented
21#39831C212yesmaximal, complemented
22#39817C211yesmaximal, characteristic, complemented
23#39425C211yesmaximal, characteristic, complemented
24#39314C212yesmaximal, complemented
25#39298C211yesmaximal, characteristic, complemented
26#39057C211yesmaximal, characteristic, complemented
27#36537C211yesmaximal, characteristic, complemented
28#36525C212yesmaximal, complemented
29#36490C211yesmaximal, characteristic, complemented
30#36472C211yesmaximal, characteristic, complemented
31#36436C212yesmaximal, complemented
32#36263C211yesmaximal, characteristic, complemented
33#36256C211yesmaximal, characteristic, complemented
34#36253C211yesmaximal, characteristic, complemented
35#36118C211yesmaximal, characteristic, complemented
36#35882C211yesmaximal, characteristic, complemented
37#35736C211yesmaximal, characteristic, complemented
38#35736C211yesmaximal, characteristic, complemented
39#35699C211yesmaximal, characteristic, complemented
40#34910C212yesmaximal, complemented
41#34908C211yesmaximal, characteristic, complemented
42#34319C211yesmaximal, characteristic, complemented
43#34305C211yesmaximal, characteristic, complemented
44#34285C211yesmaximal, characteristic, complemented
45#34272C211yesmaximal, characteristic, complemented
46C4×#552C211yesmaximal, characteristic, complemented
47C4×#547C211yesmaximal, characteristic, complemented
48C2×#553C2211yescharacteristic
49C2×#553C2211yescharacteristic
50C2×#553C2212yes—
51C2×#552C2211yescharacteristic
52C2×#547C2211yescharacteristic
53C2×#544C2211yescharacteristic
54C2×#542C2211yescharacteristic
55C2×#529C2212yes—
56C2×C4×#41C2212yes—
57#2866C2212yes—
58#2861C2211yescharacteristic
59#2860C2212yes—
60#2860C2211yescharacteristic
61#2856C2211yescharacteristic
62#2855C2211yescharacteristic
63#2854C2211yescharacteristic
64#2853C2212yes—
65#2853C2212yes—
66#2851C2212yes—
67#2809C2212yes—
68#2809C2212yes—
69#2808C2212yes—
70#2805C2212yes—
71#2803C2212yes—
72#2800C2212yes—
73#2800C2212yes—
74#2797C2212yes—
75#2797C2212yes—
76#2796C2212yes—
77#2793C2212yes—
78#2793C2212yes—
79#2793C2212yes—
80#2793C2212yes—
81#2787C2212yes—
82#2786C2212yes—
83#2781C2212yes—
84#2780C2212yes—
85#2772C2212yes—
86#2767C2212yes—
87#2762C2212yes—
88#2761C2212yes—
89#2761C2212yes—
90#2749C2212yes—
91#2740C2212yes—
92#2739C2212yes—
93#2732C2212yes—
94#2730C2212yes—
95#2730C2212yes—
96#2729C2212yes—
97#2729C2212yes—
98#2728C2212yes—
99#2711C2212yes—
100#2708C2212yes—
101#2707C2212yes—
102#2707C2212yes—
103#2705C2212yes—
104#2702C2212yes—
105#2689C2212yes—
106#2688C2212yes—
107#2682C2212yes—
108#2681C2212yes—
109#2664C2212yes—
110#2664C2212yes—
111#2652C2212yes—
112#2649C2212yes—
113#2644C2211yescharacteristic
114#2629C2211yescharacteristic
115#2620C2211yescharacteristic
116#2620C2211yescharacteristic
117#2608C2211yescharacteristic
118#2603C2212yes—
119#2603C2212yes—
120#2602C2211yescharacteristic
121#2602C2212yes—
122#2602C2212yes—
123#2602C2212yes—
124#2602C2211yescharacteristic
125#2602C2212yes—
126#2601C2212yes—
127#2601C2212yes—
128#2601C2212yes—
129#2601C2212yes—
130#2601C2212yes—
131#2601C2212yes—
132#2601C2212yes—
133#2600C2212yes—
134#2600C2211yescharacteristic
135#2600C2212yes—
136#2597C2212yes—
137#2597C2212yes—
138#2597C2212yes—
139#2597C2212yes—
140#2597C2211yescharacteristic
141#2596C2212yes—
142#2596C2212yes—
143#2596C2212yes—
144#2595C2212yes—
145#2594C2211yescharacteristic
146#2594C2212yes—
147#2591C2212yes—
148#2590C2212yes—
149#2590C2211yescharacteristic
150#2589C2212yes—
151#2587C2211yescharacteristic
152#2587C2212yes—
153#2585C2212yes—
154#2585C2212yes—
155#2578C2212yes—
156#2577C2211yescharacteristic
157#2577C2212yes—
158#2576C2212yes—
159#2576C2212yes—
160#2576C2211yescharacteristic
161#2576C2212yes—
162#2575C2212yes—
163#2573C2212yes—
164#2573C2212yes—
165#2570C2212yes—
166#2569C2212yes—
167#2566C2212yes—
168#2566C2212yes—
169#2566C2211yescharacteristic
170#2566C2212yes—
171#2565C2212yes—
172#2565C2212yes—
173#2562C2211yescharacteristic
174#2559C2212yes—
175#2559C2211yescharacteristic
176#2559C2212yes—
177#2559C2212yes—
178#2559C2212yes—
179#2558C2211yescharacteristic
180#2558C2212yes—
181#2558C2212yes—
182#2558C2212yes—
183#2557C2212yes—
184#2554C2212yes—
185#2553C2212yes—
186#2553C2212yes—
187#2552C2212yes—
188#2552C2211yescharacteristic
189#2552C2211yescharacteristic
190#2552C2211yescharacteristic
191#2552C2211yescharacteristic
192#2545C2212yes—
193#2544C2211yescharacteristic
194#2544C2212yes—
195#2543C2212yes—
196#2541C2211yescharacteristic
197#2540C2211yescharacteristic
198#2540C2211yescharacteristic
199#2536C2212yes—
200#2528C2212yes—
201#2526C2212yes—
202#2521C2212yes—
203#2519C2212yes—
204#2518C2211yescharacteristic
205#2518C2212yes—
206#2517C2212yes—
207#2516C2212yes—
208#2515C2212yes—
209#2515C2212yes—
210#2513C2212yes—
211#2513C2211yescharacteristic
212#2512C2211yescharacteristic
213#2512C2212yes—
214#2511C2211yescharacteristic
215#2511C2211yescharacteristic
216#2508C2211yescharacteristic
217#2508C2212yes—
218#2508C2211yescharacteristic
219#2506C2211yescharacteristic
220#2506C2212yes—
221#2506C2211yescharacteristic
222#2500C2212yes—
223#2499C2212yes—
224#2497C2211yescharacteristic
225#2496C2211yescharacteristic
226#2496C2211yescharacteristic
227#2494C2211yescharacteristic
228#2493C2212yes—
229#2491C2211yescharacteristic
230#2491C2211yescharacteristic
231#2490C2211yescharacteristic
232#2490C2211yescharacteristic
233#2490C2211yescharacteristic
234#2490C2211yescharacteristic
235#2490C2211yescharacteristic
236#2489C2211yescharacteristic
237#2489C2211yescharacteristic
238#2489C2211yescharacteristic
239#2485C2211yescharacteristic
240#2485C2211yescharacteristic
241#2481C2212yes—
242#2478C2212yes—
243#2478C2212yes—
244#2478C2212yes—
245#2476C2212yes—
246#2476C2212yes—
247#2475C2212yes—
248#2475C2212yes—
249#2475C2212yes—
250#2474C2212yes—
251#2471C2212yes—
252#2470C2212yes—
253#2469C2212yes—
254#2469C2212yes—
255#2468C2212yes—
256#2468C2212yes—
257#2468C2212yes—
258#2466C2212yes—
259#2466C2211yescharacteristic
260#2466C2212yes—
261#2464C2212yes—
262#2464C2212yes—
263#2464C2212yes—
264#2464C2212yes—
265#2461C2212yes—
266#2461C2212yes—
267#2460C2211yescharacteristic
268#2460C2212yes—
269#2460C2212yes—
270#2460C2212yes—
271#2459C2212yes—
272#2456C2211yescharacteristic
273#2454C2211yescharacteristic
274#2451C2211yescharacteristic
275#2450C2212yes—
276#2448C2211yescharacteristic
277#2447C2211yescharacteristic
278#2445C2212yes—
279#2445C2211yescharacteristic
280#2445C2212yes—
281#2445C2211yescharacteristic
282#2444C2212yes—
283#2444C2212yes—
284#2444C2212yes—
285#2442C2211yescharacteristic
286#2440C2211yescharacteristic
287#2432C2212yes—
288#2431C2212yes—
289#2428C2212yes—
290#2428C2211yescharacteristic
291#2426C2211yescharacteristic
292#2422C2212yes—
293#2422C2212yes—
294#2422C2212yes—
295#2421C2211yescharacteristic
296#2420C2212yes—
297#2420C2211yescharacteristic
298#2419C2212yes—
299#2419C2212yes—
300#2417C2211yescharacteristic
301#2417C2211yescharacteristic
302#2417C2211yescharacteristic
303#2416C2211yescharacteristic
304#2416C2211yescharacteristic
305#2416C2211yescharacteristic
306#2414C2211yescharacteristic
307#2414C2211yescharacteristic
308#2407C2212yes—
309#2407C2212yes—
310#2401C2211yescharacteristic
311#2392C2212yes—
312#2392C2212yes—
313#2392C2211yescharacteristic
314#2392C2211yescharacteristic
315#2392C2211yescharacteristic
316#2392C2212yes—
317#2392C2212yes—
318#2374C2212yes—
319#2374C2212yes—
320#2374C2212yes—
321#2374C2212yes—
322#2373C2212yes—
323#2373C2212yes—
324#2373C2212yes—
325#2371C2212yes—
326#2370C2211yescharacteristic
327#2370C2211yescharacteristic
328#2370C2211yescharacteristic
329#2370C2212yes—
330#2370C2211yescharacteristic
331#2370C2211yescharacteristic
332#2370C2211yescharacteristic
333#2370C2211yescharacteristic
334#2369C2211yescharacteristic
335#2369C2211yescharacteristic
336#2369C2211yescharacteristic
337#2368C2212yes—
338#2368C2212yes—
339#2368C2212yes—
340#2367C2211yescharacteristic
341#2367C2211yescharacteristic
342#2367C2211yescharacteristic
343#2366C2211yescharacteristic
344#2365C2211yescharacteristic
345#2365C2211yescharacteristic
346#2364C2212yes—
347#2364C2212yes—
348#2363C2212yes—
349#2363C2211yescharacteristic
350#2363C2211yescharacteristic
351#2362C2211yescharacteristic
352#2362C2211yescharacteristic
353#2362C2212yes—
354#2362C2212yes—
355#2361C2211yescharacteristic
356#2361C2211yescharacteristic
357#2361C2211yescharacteristic
358#2361C2211yescharacteristic
359#2361C2211yescharacteristic
360#2361C2211yescharacteristic
361#2361C2211yescharacteristic
362#2360C2212yes—
363#2360C2211yescharacteristic
364#2360C2212yes—
365#2360C2211yescharacteristic
366#2360C2211yescharacteristic
367#2359C2212yes—
368#2359C2212yes—
369#2359C2212yes—
370#2359C2212yes—
371#2359C2212yes—
372#2357C2211yescharacteristic
373#2357C2212yes—
374#2357C2212yes—
375#2357C2212yes—
376#2356C2211yescharacteristic
377#2354C2211yescharacteristic
378#2354C2212yes—
379#2354C2211yescharacteristic
380#2352C2211yescharacteristic
381#2352C2212yes—
382#2352C2211yescharacteristic
383#2349C2212yes—
384D4×C4⋊C4C2211yescharacteristic
385D4×C4⋊C4C2211yescharacteristic
386D4×C4⋊C4C2211yescharacteristic
387D4×C4⋊C4C2211yescharacteristic
388#2346C2211yescharacteristic
389#2345C2211yescharacteristic
390#2344C2211yescharacteristic
391#2344C2211yescharacteristic
392#2344C2211yescharacteristic
393#2344C2211yescharacteristic
394#2343C2212yes—
395#2339C2212yes—
396#2337C2212yes—
397#2335C2212yes—
398#2334C2212yes—
399#2334C2212yes—
400#2334C2212yes—
401#2333C2212yes—
402#2331C2212yes—
403#2330C2211yescharacteristic
404#2330C2212yes—
405#2324C2211yescharacteristic
406#2324C2211yescharacteristic
407#2324C2211yescharacteristic
408#2320C2211yescharacteristic
409#2317C2211yescharacteristic
410C4×C4⋊Q8C2211yescharacteristic
411C4×C4⋊Q8C2212yes—
412C4×#127C2212yes—
413C4×#125C2211yescharacteristic
414C4×#125C2211yescharacteristic
415C4×#125C2212yes—
416C4×#125C2212yes—
417C4×#125C2211yescharacteristic
418C4×#126C2211yescharacteristic
419C4×#126C2212yes—
420C4×#126C2212yes—
421C4×#124C2212yes—
422C4×#124C2212yes—
423C4×C22⋊Q8C2211yescharacteristic
424C4×C22⋊Q8C2212yes—
425C4×C22⋊Q8C2211yescharacteristic
426C4×#123C2212yes—
427C4×#123C2211yescharacteristic
428C4×#123C2212yes—
429C4×#123C2212yes—
430C4×#123C2211yescharacteristic
431C4×#123C2212yes—
432C4×#121C2212yes—
433C4×#121C2211yescharacteristic
434C4×#121C2211yescharacteristic
435C4×#121C2211yescharacteristic
436C4×#121C2211yescharacteristic
437#2298C2211yescharacteristic
438#2296C2211yescharacteristic
439#2293C2211yescharacteristic
440#2293C2211yescharacteristic
441C2×#389C2211yescharacteristic
442#2290C2211yescharacteristic
443#2290C2212yes—
444#2290C2212yes—
445#2290C2212yes—
446#2290C2212yes—
447#2275C2211yescharacteristic
448#2274C2211yescharacteristic
449#2274C2211yescharacteristic
450#2274C2211yescharacteristic
451C42×Q8C2211yescharacteristic
452C42×D4C2211yescharacteristic
453C42×D4C2211yescharacteristic
454C42×D4C2211yescharacteristic
455C4×#117C2212yes—
456C4×#117C2211yescharacteristic
457C2×C4×C4⋊C4C2211yescharacteristic
458C2×C4×C4⋊C4C2211yescharacteristic
459C22×#41C2312yes—
460#553—28no—
461#553—28no—
462#553—48no—
463#552—28no—
464#547—28no—
465#544—28no—
466#542—28no—
467C2×C4⋊Q8C2312yes—
468C2×C4⋊Q8C2311yescharacteristic
469C2×C4⋊Q8C2311yescharacteristic
470C2×#127C2312yes—
471C2×#127C2311yescharacteristic
472#529—48no—
473C2×#126C2312yes—
474C2×#126C2312yes—
475C2×#126C2312yes—
476C2×#126C2312yes—
477C2×#126C2311yescharacteristic
478C2×#126C2312yes—
479C2×#126C2312yes—
480C2×#126C2312yes—
481C2×#126C2312yes—
482C2×#125C2312yes—
483C2×#125C2312yes—
484C2×#125C2311yescharacteristic
485C2×#125C2311yescharacteristic
486C2×#125C2311yescharacteristic
487C2×#125C2311yescharacteristic
488C2×#125C2311yescharacteristic
489C2×#125C2311yescharacteristic
490C2×#125C2312yes—
491C2×#125C2312yes—
492C2×#125C2312yes—
493C2×#124C2312yes—
494C2×#124C2311yescharacteristic
495C2×#124C2311yescharacteristic
496C2×#124C2312yes—
497C2×#124C2312yes—
498C2×#123C2312yes—
499C2×#123C2312yes—
500C2×#123C2311yescharacteristic
501C2×#123C2312yes—
502C2×#123C2312yes—
503C2×#123C2312yes—
504C2×#123C2312yes—
505C2×#123C2312yes—
506C2×#123C2312yes—
507C2×#123C2312yes—
508C2×#123C2311yescharacteristic
509C2×C22⋊Q8C2311yescharacteristic
510C2×C22⋊Q8C2312yes—
511C2×C22⋊Q8C2312yes—
512C2×C22⋊Q8C2311yescharacteristic
513C2×C22⋊Q8C2311yescharacteristic
514C2×C22⋊Q8C2312yes—
515C2×C22⋊Q8C2312yes—
516C2×C22⋊Q8C2311yescharacteristic
517C2×C22⋊Q8C2312yes—
518C2×#121C2311yescharacteristic
519C2×#121C2311yescharacteristic
520C2×#121C2311yescharacteristic
521C2×#121C2312yes—
522C2×#121C2311yescharacteristic
523C2×#121C2311yescharacteristic
524C2×#121C2311yescharacteristic
525C2×#121C2311yescharacteristic
526C2×#121C2312yes—
527C2×#121C2312yes—
528C2×#121C2311yescharacteristic
529C2×#121C2312yes—
530C2×#121C2312yes—
531C2×#121C2312yes—
532C2×#121C2312yes—
533C2×#121C2312yes—
534C2×#121C2311yescharacteristic
535C4×#41—48no—
536C2×C4×Q8C2311yescharacteristic
537C2×C4×Q8C2311yescharacteristic
538C2×C4×Q8C2312yes—
539C2×C4×Q8C2312yes—
540C2×C4×Q8C2312yes—
541C2×C4×Q8C2311yescharacteristic
542C2×C4×D4C2312yes—
543C2×C4×D4C2312yes—
544C2×C4×D4C2311yescharacteristic
545C2×C4×D4C2311yescharacteristic
546C2×C4×D4C2311yescharacteristic
547C2×C4×D4C2311yescharacteristic
548C2×C4×D4C2312yes—
549C2×C4×D4C2311yescharacteristic
550C2×C4×D4C2311yescharacteristic
551C2×C4×D4C2311yescharacteristic
552C2×C4×D4C2311yescharacteristic
553C2×C4×D4C2311yescharacteristic
554C2×C4×D4C2311yescharacteristic
555C2×C4×D4C2312yes—
556C2×C4×D4C2312yes—
557C2×C4×D4C2312yes—
558C2×C4×D4C2312yes—
559C2×C4×D4C2312yes—
560C2×C4×D4C2311yescharacteristic
561C2×C4×D4C2311yescharacteristic
562C2×C4×D4C2312yes—
563C2×C4×D4C2312yes—
564C2×C4×D4C2312yes—
565C2×C4×D4C2312yes—
566C2×C4×D4C2312yes—
567C2×C4×D4C2311yescharacteristic
568C2×C4×D4C2311yescharacteristic
569C2×C4×D4C2312yes—
570C2×C4×D4C2311yescharacteristic
571C2×C4×D4C2312yes—
572C2×C4×D4C2312yes—
573C2×C4×D4C2311yescharacteristic
574C2×C4×D4C2312yes—
575C2×#117C2311yescharacteristic
576C2×#117C2311yescharacteristic
577C2×#117C2311yescharacteristic
578C2×#117C2312yes—
579C2×#117C2311yescharacteristic
580C2×#117C2312yes—
581C2×#117C2312yes—
582C2×#117C2312yes—
583C2×#117C2312yes—
584C2×#117C2312yes—
585C2×#117C2312yes—
586C2×#117C2311yescharacteristic
587C2×#117C2312yes—
588C2×#117C2311yescharacteristic
589C22×C4⋊C4C2311yescharacteristic
590C22×C4⋊C4C2311yescharacteristic
591C22×C4⋊C4C2311yescharacteristic
592C22×C4⋊C4C2311yescharacteristic
593C22×C4⋊C4C2311yescharacteristic
594C22×C4⋊C4C2311yescharacteristic
595C22×C4⋊C4C2311yescharacteristic
596C22×C4⋊C4C2312yes—
597C22×C42C2312yes—
598C22×C42C2312yes—
599C22×C42C2312yes—
600C22×C42C2311yescharacteristic
601C22×C42C2311yescharacteristic
602C22×C42C2311yescharacteristic
603#401C2311yescharacteristic
604#401C2312yes—
605#400C2312yes—
606#400C2312yes—
607#400C2312yes—
608#400C2311yescharacteristic
609#400C2312yes—
610#400C2312yes—
611#400C2312yes—
612#400C2312yes—
613#400C2312yes—
614#400C2312yes—
615#400C2312yes—
616#400C2311yescharacteristic
617#400C2311yescharacteristic
618#400C2312yes—
619#400C2312yes—
620#400C2312yes—
621#400C2312yes—
622#400C2312yes—
623#400C2312yes—
624#400C2312yes—
625#399C2312yes—
626#399C2312yes—
627#399C2312yes—
628#399C2312yes—
629#398C2312yes—
630#398C2312yes—
631#398C2312yes—
632#398C2312yes—
633#398C2312yes—
634#398C2312yes—
635#398C2312yes—
636#398C2312yes—
637#398C2312yes—
638#398C2312yes—
639#398C2312yes—
640#398C2311yescharacteristic
641#398C2312yes—
642#398C2312yes—
643#398C2312yes—
644#398C2311yescharacteristic
645#398C2312yes—
646#398C2311yescharacteristic
647#398C2312yes—
648#398C2312yes—
649#398C2312yes—
650#398C2312yes—
651#398C2312yes—
652#397C2312yes—
653#397C2312yes—
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680#397C2312yes—
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718#394C2312yes—
719#394C2312yes—
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726#394C2312yes—
727#394C2312yes—
728#394C2312yes—
729#394C2312yes—
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733#394C2312yes—
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736#394C2312yes—
737#394C2312yes—
738#394C2312yes—
739#394C2312yes—
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743#394C2312yes—
744#394C2312yes—
745#394C2312yes—
746#394C2312yes—
747#393C2312yes—
748#393C2312yes—
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760#391C2312yes—
761#391C2312yes—
762#391C2312yes—
763#391C2312yes—
764#391C2312yes—
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768#391C2312yes—
769#391C2312yes—
770#391C2312yes—
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776#390C2312yes—
777#390C2312yes—
778#390C2312yes—
779#390C2312yes—
780#390C2312yes—
781#390C2312yes—
782#390C2312yes—
783#390C2312yes—
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787#390C2312yes—
788#390C2312yes—
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795#390C2312yes—
796#390C2312yes—
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800#390C2312yes—
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822#389C2312yes—
823#389C2312yes—
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826#389C2312yes—
827#389C2312yes—
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832#389C2312yes—
833#389C2312yes—
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837#389C2312yes—
838#389C2312yes—
839#389C2312yes—
840#389C2312yes—
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844#389C2312yes—
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848#389C2312yes—
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869#388C2312yes—
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876#388C2312yes—
877#388C2312yes—
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881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
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888#388C2312yes—
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895#388C2312yes—
896#388C2312yes—
897#388C2312yes—
898#388C2312yes—
899#388C2312yes—
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902#388C2312yes—
903#388C2312yes—
904#388C2312yes—
905#388C2312yes—
906#388C2312yes—
907#388C2312yes—
908#388C2312yes—
909#388C2312yes—
910#388C2312yes—
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913#388C2312yes—
914#388C2312yes—
915#388C2312yes—
916#388C2312yes—
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918#388C2312yes—
919#388C2312yes—
920#388C2312yes—
921#388C2312yes—
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928#388C2312yes—
929#388C2312yes—
930#388C2312yes—
931#388C2312yes—
932#388C2312yes—
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938#388C2312yes—
939#388C2312yes—
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941#388C2312yes—
942#388C2312yes—
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981#387C2312yes—
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1003#387C2312yes—
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1017#387C2312yes—
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1019#387C2312yes—
1020#387C2312yes—
1021#387C2312yes—
1022#387C2312yes—
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1030#387C2312yes—
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1035#387C2312yes—
1036#387C2312yes—
1037#387C2312yes—
1038#387C2312yes—
1039#387C2312yes—
1040#386C2312yes—
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1062#386C2312yes—
1063#386C2312yes—
1064#386C2312yes—
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1070#386C2312yes—
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1080#385C2312yes—
1081#385C2312yes—
1082#385C2312yes—
1083#385C2312yes—
1084#385C2312yes—
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1089#385C2312yes—
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1096#385C2312yes—
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1098#385C2312yes—
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1107#385C2312yes—
1108#385C2312yes—
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1114#385C2312yes—
1115#385C2312yes—
1116#385C2312yes—
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1130#383C2312yes—
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1138#382C2312yes—
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1190C4×C4⋊C4C2312yes—
1191C4×C4⋊C4C2312yes—
1192C4×C4⋊C4C2312yes—
1193C4×C4⋊C4C2312yes—
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1199C4×C4⋊C4C2312yes—
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1203C4×C4⋊C4C2312yes—
1204C4×C4⋊C4C2312yes—
1205C4×C4⋊C4C2312yes—
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1209C4×C4⋊C4C2312yes—
1210C4×C4⋊C4C2312yes—
1211C4×C4⋊C4C2312yes—
1212C4×C4⋊C4C2312yes—
1213C4×C4⋊C4C2312yes—
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1252C4×C22⋊C4C2312yes—
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1255C4×C22⋊C4C2312yes—
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1263C4×C22⋊C4C2312yes—
1264C4×C22⋊C4C2312yes—
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1266C4×C22⋊C4C2312yes—
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1280C4×C22⋊C4C2312yes—
1281C4×C22⋊C4C2312yes—
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1289C4×C22⋊C4C2312yes—
1290C4×C22⋊C4C2312yes—
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1293#376C2312yes—
1294#376C2312yes—
1295C2×#95C2312yes—
1296C2×#95C2312yes—
1297C2×#95C2312yes—
1298C2×#95C2312yes—
1299C43C2312yes—
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1301C43C2312yes—
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1304C2×#41—44no—
1305C2×#41—44no—
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1308C22×Q8C2412yes—
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1311C22×D4C2411yescharacteristic
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1313C22×D4C2411yescharacteristic
1314C22×D4C2412yes—
1315C22×D4C2411yescharacteristic
1316C22×D4C2412yes—
1317C22×D4C2412yes—
1318C22×D4C2411yescharacteristic
1319C22×D4C2412yes—
1320C22×D4C2412yes—
1321C22×D4C2412yes—
1322C22×D4C2411yescharacteristic
1323C22×D4C2412yes—
1324C22×D4C2412yes—
1325C22×D4C2412yes—
1326C22×D4C2412yes—
1327C23×C4C2411yescharacteristic
1328C23×C4C2411yescharacteristic
1329C23×C4C2411yescharacteristic
1330C23×C4C2412yes—
1331C23×C4C2412yes—
1332C23×C4C2412yes—
1333C23×C4C2411yescharacteristic
1334C23×C4C2412yes—
1335C23×C4C2411yescharacteristic
1336C23×C4C2412yes—
1337C23×C4C2412yes—
1338C23×C4C2412yes—
1339C23×C4C2412yes—
1340C23×C4C2412yes—
1341C23×C4C2412yes—
1342C23×C4C2412yes—
1343C23×C4C2411yescharacteristic
1344C23×C4C2411yescharacteristic
1345C23×C4C2411yescharacteristic
1346C23×C4C2412yes—
1347C23×C4C2412yes—
1348C23×C4C2411yescharacteristic
1349C23×C4C2411yescharacteristic
1350C4⋊Q8—28no—
1351C4⋊Q8—24no—
1352C4⋊Q8#4118yes—
1353#127—42no—
1354#127—44no—
1355#126—28no—
1356#126—28no—
1357#126—28no—
1358#126—28no—
1359#126—44no—
1360#126—44no—
1361#126—44no—
1362#126—42no—
1363#126—44no—
1364#125—28no—
1365#125—24no—
1366#125—24no—
1367#125—24no—
1368#125—24no—
1369#125—24no—
1370#125—28no—
1371#125—44no—
1372#125—44no—
1373#125—44no—
1374#125—42no—
1375#124—28no—
1376#124—24no—
1377#124—44no—
1378#124—42no—
1379#124—44no—
1380#123—24no—
1381#123—28no—
1382#123—28no—
1383#123—28no—
1384#123—28no—
1385#123—28no—
1386#123—28no—
1387#123—28no—
1388#123—44no—
1389#123—44no—
1390#123—42no—
1391C22⋊Q8—28no—
1392C22⋊Q8—28no—
1393C22⋊Q8—28no—
1394C22⋊Q8—24no—
1395C22⋊Q8—24no—
1396C22⋊Q8—28no—
1397C22⋊Q8—24no—
1398C22⋊Q8—44no—
1399C22⋊Q8—42no—
1400#121—24no—
1401#121—24no—
1402#121—24no—
1403#121—24no—
1404#121—24no—
1405#121—24no—
1406#121—24no—
1407#121—28no—
1408#121—28no—
1409#121—44no—
1410#121—42no—
1411#121—44no—
1412#121—44no—
1413#121—44no—
1414#121—42no—
1415#121—44no—
1416#121—44no—
1417C4×Q8—24no—
1418C4×Q8—24no—
1419C4×Q8—44no—
1420C4×Q8—44no—
1421C4×Q8—44no—
1422C4×Q8—42no—
1423C4×D4—24no—
1424C4×D4—24no—
1425C4×D4—24no—
1426C4×D4—24no—
1427C4×D4—28no—
1428C4×D4—24no—
1429C4×D4—24no—
1430C4×D4—24no—
1431C4×D4—24no—
1432C4×D4—24no—
1433C4×D4—24no—
1434C4×D4—28no—
1435C4×D4—28no—
1436C4×D4—44no—
1437C4×D4—44no—
1438C4×D4—44no—
1439C4×D4—42no—
1440C4×D4—42no—
1441C4×D4—44no—
1442C4×D4—44no—
1443C4×D4—42no—
1444C4×D4—42no—
1445C4×D4—44no—
1446C4×D4—42no—
1447C4×D4—44no—
1448C4×D4—44no—
1449C4×D4—44no—
1450C4×D4—44no—
1451C4×D4—42no—
1452C4×D4—44no—
1453C4×D4—44no—
1454C4×D4—44no—
1455C4×D4—44no—
1456#117—24no—
1457#117—24no—
1458#117—24no—
1459#117—28no—
1460#117—42no—
1461#117—44no—
1462#117—44no—
1463#117—44no—
1464#117—44no—
1465#117—44no—
1466#117—44no—
1467#117—44no—
1468#117—42no—
1469#117#4118yescomplemented
1470C2×C4⋊C4—24no—
1471C2×C4⋊C4—24no—
1472C2×C4⋊C4—24no—
1473C2×C4⋊C4—24no—
1474C2×C4⋊C4—24no—
1475C2×C4⋊C4—24no—
1476C2×C4⋊C4—42no—
1477C2×C4⋊C4—44no—
1478C2×C4⋊C4C2411yescharacteristic
1479C2×C4⋊C4C2412yes—
1480C2×C4⋊C4C2411yescharacteristic
1481C2×C4⋊C4C2412yes—
1482C2×C4⋊C4C2411yescharacteristic
1483C2×C4⋊C4C2411yescharacteristic
1484C2×C4⋊C4C2411yescharacteristic
1485C2×C4⋊C4C2412yes—
1486C2×C4⋊C4C2412yes—
1487C2×C4⋊C4C2411yescharacteristic
1488C2×C4⋊C4C2412yes—
1489C2×C4⋊C4C2412yes—
1490C2×C4⋊C4C2412yes—
1491C2×C4⋊C4C2411yescharacteristic
1492C2×C4⋊C4C2412yes—
1493C2×C4⋊C4C2411yescharacteristic
1494C2×C4⋊C4C2411yescharacteristic
1495C2×C4⋊C4C2411yescharacteristic
1496C2×C4⋊C4C2412yes—
1497C2×C4⋊C4C2411yescharacteristic
1498C2×C4⋊C4C2412yes—
1499C2×C4⋊C4C2412yes—
1500C2×C4⋊C4C2411yescharacteristic
1501C2×C4⋊C4C2411yescharacteristic
1502C2×C4⋊C4C2412yes—
1503C2×C4⋊C4C2411yescharacteristic
1504C2×C4⋊C4C2411yescharacteristic
1505C2×C4⋊C4C2411yescharacteristic
1506C2×C4⋊C4C2412yes—
1507C2×C4⋊C4C2411yescharacteristic
1508C2×C4⋊C4C2411yescharacteristic
1509C2×C4⋊C4C2412yes—
1510C2×C4⋊C4C2411yescharacteristic
1511C2×C4⋊C4C2412yes—
1512C2×C4⋊C4C2411yescharacteristic
1513C2×C4⋊C4C2411yescharacteristic
1514C2×C4⋊C4C2411yescharacteristic
1515C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1526C2×C4⋊C4C2412yes—
1527C2×C4⋊C4C2411yescharacteristic
1528C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1541C2×C4⋊C4C2411yescharacteristic
1542C2×C4⋊C4C2412yes—
1543C2×C4⋊C4C2412yes—
1544C2×C4⋊C4C2412yes—
1545C2×C4⋊C4C2412yes—
1546C2×C4⋊C4C2412yes—
1547C2×C4⋊C4C2411yescharacteristic
1548C2×C4⋊C4C2412yes—
1549C2×C4⋊C4C2412yes—
1550C2×C4⋊C4C2411yescharacteristic
1551C2×C4⋊C4C2412yes—
1552C2×C4⋊C4C2411yescharacteristic
1553C2×C4⋊C4C2412yes—
1554C2×C4⋊C4C2412yes—
1555C2×C4⋊C4C2412yes—
1556C2×C4⋊C4C2412yes—
1557C2×C4⋊C4C2411yescharacteristic
1558C2×C4⋊C4C2412yes—
1559C2×C4⋊C4C2411yescharacteristic
1560C2×C4⋊C4C2412yes—
1561C2×C4⋊C4C2411yescharacteristic
1562C2×C4⋊C4C2411yescharacteristic
1563C2×C4⋊C4C2412yes—
1564C2×C4⋊C4C2412yes—
1565C2×C4⋊C4C2411yescharacteristic
1566C2×C4⋊C4C2411yescharacteristic
1567C2×C4⋊C4C2411yescharacteristic
1568C2×C4⋊C4C2411yescharacteristic
1569C2×C4⋊C4C2411yescharacteristic
1570C2×C4⋊C4C2412yes—
1571C2×C4⋊C4C2412yes—
1572C2×C4⋊C4C2411yescharacteristic
1573C2×C4⋊C4C2411yescharacteristic
1574C2×C4⋊C4C2411yescharacteristic
1575C2×C4⋊C4C2411yescharacteristic
1576C2×C4⋊C4C2411yescharacteristic
1577C2×C4⋊C4C2411yescharacteristic
1578C2×C4⋊C4C2412yes—
1579C2×C22⋊C4C2411yescharacteristic
1580C2×C22⋊C4C2411yescharacteristic
1581C2×C22⋊C4C2411yescharacteristic
1582C2×C22⋊C4C2411yescharacteristic
1583C2×C22⋊C4C2411yescharacteristic
1584C2×C22⋊C4C2412yes—
1585C2×C22⋊C4C2412yes—
1586C2×C22⋊C4C2412yes—
1587C2×C22⋊C4C2412yes—
1588C2×C22⋊C4C2411yescharacteristic
1589C2×C22⋊C4C2412yes—
1590C2×C22⋊C4C2411yescharacteristic
1591C2×C22⋊C4C2412yes—
1592C2×C22⋊C4C2411yescharacteristic
1593C2×C22⋊C4C2411yescharacteristic
1594C2×C22⋊C4C2411yescharacteristic
1595C2×C22⋊C4C2411yescharacteristic
1596C2×C22⋊C4C2411yescharacteristic
1597C2×C22⋊C4C2411yescharacteristic
1598C2×C22⋊C4C2411yescharacteristic
1599C2×C22⋊C4C2412yes—
1600C2×C22⋊C4C2411yescharacteristic
1601C2×C22⋊C4C2411yescharacteristic
1602C2×C22⋊C4C2412yes—
1603C2×C22⋊C4C2411yescharacteristic
1604C2×C22⋊C4C2412yes—
1605C2×C22⋊C4C2412yes—
1606C2×C22⋊C4C2412yes—
1607C2×C22⋊C4C2412yes—
1608C2×C22⋊C4C2411yescharacteristic
1609C2×C22⋊C4C2411yescharacteristic
1610C2×C22⋊C4C2411yescharacteristic
1611C2×C22⋊C4C2412yes—
1612C2×C22⋊C4C2411yescharacteristic
1613C2×C22⋊C4C2412yes—
1614C2×C22⋊C4C2411yescharacteristic
1615C2×C22⋊C4C2412yes—
1616C2×C22⋊C4C2412yes—
1617C2×C22⋊C4C2412yes—
1618C2×C22⋊C4C2412yes—
1619C2×C22⋊C4C2412yes—
1620C2×C22⋊C4C2412yes—
1621C2×C22⋊C4C2412yes—
1622C2×C22⋊C4C2412yes—
1623C2×C22⋊C4C2412yes—
1624C2×C22⋊C4C2411yescharacteristic
1625C2×C22⋊C4C2412yes—
1626C2×C22⋊C4C2412yes—
1627C2×C22⋊C4C2412yes—
1628C2×C22⋊C4C2412yes—
1629C2×C22⋊C4C2412yes—
1630C2×C22⋊C4C2412yes—
1631C2×C22⋊C4C2411yescharacteristic
1632C2×C22⋊C4C2411yescharacteristic
1633C2×C22⋊C4C2412yes—
1634C2×C22⋊C4C2412yes—
1635C2×C22⋊C4C2412yes—
1636C2×C22⋊C4C2412yes—
1637C2×C22⋊C4C2412yes—
1638C2×C22⋊C4C2411yescharacteristic
1639C2×C22⋊C4C2411yescharacteristic
1640C2×C22⋊C4C2412yes—
1641C2×C22⋊C4C2412yes—
1642C2×C22⋊C4C2411yescharacteristic
1643C2×C22⋊C4C2412yes—
1644C2×C22⋊C4C2412yes—
1645C2×C22⋊C4C2412yes—
1646C2×C22⋊C4C2412yes—
1647C2×C22⋊C4C2412yes—
1648C2×C22⋊C4C2411yescharacteristic
1649C2×C22⋊C4C2411yescharacteristic
1650C2×C22⋊C4C2412yes—
1651C2×C22⋊C4C2411yescharacteristic
1652C2×C22⋊C4C2412yes—
1653C2×C22⋊C4C2412yes—
1654C2×C22⋊C4C2412yes—
1655C2×C22⋊C4C2411yescharacteristic
1656C2×C22⋊C4C2412yes—
1657C2×C22⋊C4C2412yes—
1658C2×C22⋊C4C2411yescharacteristic
1659C2×C22⋊C4C2412yes—
1660C2×C22⋊C4C2411yescharacteristic
1661C2×C22⋊C4C2412yes—
1662C2×C22⋊C4C2411yescharacteristic
1663C2×C22⋊C4C2412yes—
1664C2×C22⋊C4C2412yes—
1665C2×C22⋊C4C2412yes—
1666C2×C22⋊C4C2412yes—
1667C2×C22⋊C4C2412yes—
1668C2×C22⋊C4C2411yescharacteristic
1669C2×C22⋊C4C2412yes—
1670C2×C22⋊C4C2411yescharacteristic
1671C2×C22⋊C4C2411yescharacteristic
1672C2×C22⋊C4C2412yes—
1673C2×C22⋊C4C2412yes—
1674C2×C22⋊C4C2412yes—
1675C2×C22⋊C4C2412yes—
1676C2×C42—28no—
1677C2×C42—44no—
1678C2×C42—44no—
1679C2×C42—42no—
1680C2×C42—42no—
1681C2×C42—42no—
1682C2×C42C2411yescharacteristic
1683C2×C42C2412yes—
1684C2×C42C2412yes—
1685C2×C42C2412yes—
1686C2×C42C2411yescharacteristic
1687C2×C42C2411yescharacteristic
1688C2×C42C2411yescharacteristic
1689C2×C42C2412yes—
1690C2×C42C2412yes—
1691C2×C42C2411yescharacteristic
1692C2×C42C2412yes—
1693C2×C42C2412yes—
1694C2×C42C2411yescharacteristic
1695C2×C42C2411yescharacteristic
1696C2×C42C2411yescharacteristic
1697C2×C42C2412yes—
1698C2×C42C2411yescharacteristic
1699C2×C42C2411yescharacteristic
1700C2×C42C2411yescharacteristic
1701C2×C42C2412yes—
1702C2×C42C2411yescharacteristic
1703C2×C42C2412yes—
1704C2×C42C2412yes—
1705C2×C42C2412yes—
1706C2×C42C2412yes—
1707C2×C42C2412yes—
1708C2×C42C2412yes—
1709C2×C42C2412yes—
1710C2×C42C2412yes—
1711C2×C42C2412yes—
1712C2×C42C2411yescharacteristic
1713C2×C42C2411yescharacteristic
1714C2×C42C2412yes—
1715C2×C42C2412yes—
1716C2×C42C2412yes—
1717C2×C42C2412yes—
1718C2×C42C2412yes—
1719C2×C42C2411yescharacteristic
1720C2×C42C2412yes—
1721C2×C42C2411yescharacteristic
1722C2×C42C2412yes—
1723C2×C42C2411yescharacteristic
1724C2×C42C2411yescharacteristic
1725C2×C42C2411yescharacteristic
1726C2×C42C2412yes—
1727C2×C42C2411yescharacteristic
1728C2×C42C2411yescharacteristic
1729C2×C42C2411yescharacteristic
1730C2×C42C2411yescharacteristic
1731C2×C42C2412yes—
1732C2×C42C2412yes—
1733C2×C42C2411yescharacteristic
1734C2×C42C2411yescharacteristic
1735C2×C42C2412yes—
1736#95C2411yescharacteristic
1737#95C2412yes—
1738#95C2412yes—
1739#95C2412yes—
1740#95C2412yes—
1741#95C2412yes—
1742#95C2412yes—
1743#95C2412yes—
1744#95C2412yes—
1745#95C2412yes—
1746#95C2412yes—
1747#95C2412yes—
1748#95C2412yes—
1749#95C2412yes—
1750#95C2411yescharacteristic
1751#95C2411yescharacteristic
1752#95C2412yes—
1753#95C2411yescharacteristic
1754#95C2411yescharacteristic
1755#95C2411yescharacteristic
1756#95C2412yes—
1757#95C2412yes—
1758#95C2412yes—
1759#95C2412yes—
1760#95C2412yes—
1761#95C2412yes—
1762#95C2412yes—
1763#95C2412yes—
1764#95C2412yes—
1765#95C2411yescharacteristic
1766#95C2411yescharacteristic
1767#95C2411yescharacteristic
1768#95C2411yescharacteristic
1769#95C2412yes—
1770#95C2411yescharacteristic
1771#95C2412yes—
1772#95C2411yescharacteristic
1773#95C2412yes—
1774#95C2411yescharacteristic
1775#95C2411yescharacteristic
1776#95C2411yescharacteristic
1777#95C2412yes—
1778#95C2411yescharacteristic
1779#95C2411yescharacteristic
1780#95C2411yescharacteristic
1781#95C2411yescharacteristic
1782#95C2411yescharacteristic
1783#95C2411yescharacteristic
1784#95C2412yes—
1785#95C2412yes—
1786#95C2411yescharacteristic
1787#95C2412yes—
1788#95C2412yes—
1789#95C2412yes—
1790#95C2412yes—
1791#95C2412yes—
1792#95C2412yes—
1793#95C2412yes—
1794#95C2412yes—
1795#95C2412yes—
1796#95C2412yes—
1797#95C2412yes—
1798#95C2412yes—
1799#95C2411yescharacteristic
1800#95C2412yes—
1801#95C2412yes—
1802#95C2412yes—
1803#95C2411yescharacteristic
1804#95C2411yescharacteristic
1805#95C2412yes—
1806#95C2412yes—
1807#95C2412yes—
1808#95C2411yescharacteristic
1809#95C2411yescharacteristic
1810#95C2411yescharacteristic
1811#95C2412yes—
1812#95C2411yescharacteristic
1813#95C2411yescharacteristic
1814#95C2411yescharacteristic
1815#95C2412yes—
1816#95C2411yescharacteristic
1817#95C2411yescharacteristic
1818#95C2411yescharacteristic
1819#95C2411yescharacteristic
1820#95C2411yescharacteristic
1821#95C2412yes—
1822#95C2412yes—
1823#95C2412yes—
1824#95C2412yes—
1825#95C2412yes—
1826#95C2412yes—
1827#95C2412yes—
1828#95C2412yes—
1829#95C2412yes—
1830#95C2412yes—
1831#95C2412yes—
1832#95C2411yescharacteristic
1833#95C2412yes—
1834#95C2411yescharacteristic
1835#95C2412yes—
1836#95C2411yescharacteristic
1837#95C2412yes—
1838#95C2411yescharacteristic
1839#95C2412yes—
1840#95C2411yescharacteristic
1841#95C2411yescharacteristic
1842#95C2411yescharacteristic
1843#95C2411yescharacteristic
1844#95C2412yes—
1845#95C2412yes—
1846#95C2412yes—
1847#95C2412yes—
1848#95C2412yes—
1849#95C2412yes—
1850#95C2412yes—
1851C24C2512yes—
1852C24C2511yescharacteristic
1853C24C2512yes—
1854C24C2511yescharacteristic
1855C24C2511yescharacteristic
1856C24C2511yescharacteristic
1857#41—432no—
1858C2×Q8—22no—
1859C2×Q8—22no—
1860C2×Q8—24no—
1861C2×Q8—22no—
1862C2×Q8—42no—
1863C2×Q8—42no—
1864C2×Q8—42no—
1865C2×Q8—42no—
1866C2×Q8C2×#4118yes—
1867C2×D4—22no—
1868C2×D4—22no—
1869C2×D4—22no—
1870C2×D4—22no—
1871C2×D4—24no—
1872C2×D4—22no—
1873C2×D4—22no—
1874C2×D4—22no—
1875C2×D4—24no—
1876C2×D4—22no—
1877C2×D4—24no—
1878C2×D4—22no—
1879C2×D4—24no—
1880C2×D4—24no—
1881C2×D4—24no—
1882C2×D4—22no—
1883C2×D4—24no—
1884C2×D4—22no—
1885C2×D4—22no—
1886C2×D4—22no—
1887C2×D4—22no—
1888C2×D4—24no—
1889C2×D4—24no—
1890C2×D4—24no—
1891C2×D4—24no—
1892C2×D4—22no—
1893C2×D4—22no—
1894C2×D4—22no—
1895C2×D4—24no—
1896C2×D4—42no—
1897C2×D4—41no—
1898C2×D4—41no—
1899C2×D4—41no—
1900C2×D4—42no—
1901C2×D4—41no—
1902C2×D4—41no—
1903C2×D4—42no—
1904C2×D4—42no—
1905C2×D4—42no—
1906C2×D4—42no—
1907C2×D4—41no—
1908C2×D4—42no—
1909C2×D4—42no—
1910C2×D4—42no—
1911C2×D4—42no—
1912C2×D4—42no—
1913C2×D4—42no—
1914C2×D4—42no—
1915C2×D4—42no—
1916C2×D4—41no—
1917C2×D4—42no—
1918C2×D4—42no—
1919C2×D4—42no—
1920C2×D4—42no—
1921C22×C4—22no—
1922C22×C4—22no—
1923C22×C4—24no—
1924C22×C4—24no—
1925C22×C4—24no—
1926C22×C4—22no—
1927C22×C4—24no—
1928C22×C4—22no—
1929C22×C4—22no—
1930C22×C4—22no—
1931C22×C4—22no—
1932C22×C4—22no—
1933C22×C4—24no—
1934C22×C4—24no—
1935C22×C4—22no—
1936C22×C4—24no—
1937C22×C4—22no—
1938C22×C4—22no—
1939C22×C4—22no—
1940C22×C4—22no—
1941C22×C4—24no—
1942C22×C4—24no—
1943C22×C4—24no—
1944C22×C4—24no—
1945C22×C4—24no—
1946C22×C4—24no—
1947C22×C4—24no—
1948C22×C4—22no—
1949C22×C4—22no—
1950C22×C4—42no—
1951C22×C4—42no—
1952C22×C4—41no—
1953C22×C4—41no—
1954C22×C4—42no—
1955C22×C4—41no—
1956C22×C4—41no—
1957C22×C4—42no—
1958C22×C4—42no—
1959C22×C4—42no—
1960C22×C4—42no—
1961C22×C4—41no—
1962C22×C4—41no—
1963C22×C4—41no—
1964C22×C4—41no—
1965C22×C4—42no—
1966C22×C4—42no—
1967C22×C4—42no—
1968C22×C4—42no—
1969C22×C4—42no—
1970C22×C4—42no—
1971C22×C4—42no—
1972C22×C4—42no—
1973C22×C4—42no—
1974C22×C4—42no—
1975C22×C4—42no—
1976C22×C4—41no—
1977C22×C4—41no—
1978C22×C4—41no—
1979C22×C4—41no—
1980C22×C4—41no—
1981C22×C4—42no—
1982C22×C4—42no—
1983C22×C4—42no—
1984C22×C4—42no—
1985C22×C4—42no—
1986C22×C4—42no—
1987C22×C4—42no—
1988C22×C4C2×#4114yes—
1989C22×C4H(5,𝔽2)14yes—
1990C22×C4C2511yescharacteristic
1991C22×C4C2511yescharacteristic
1992C22×C4C2511yescharacteristic
1993C22×C4C2511yescharacteristic
1994C22×C4C2511yescharacteristic
1995C22×C4C2511yescharacteristic
1996C22×C4C2511yescharacteristic
1997C22×C4C2511yescharacteristic
1998C22×C4C2512yes—
1999C22×C4C2512yes—
2000C22×C4C2512yes—
2001C22×C4C2512yes—
2002C22×C4C2511yescharacteristic
2003C22×C4C2512yes—
2004C22×C4C2511yescharacteristic
2005C22×C4C2511yescharacteristic
2006C22×C4C2511yescharacteristic
2007C22×C4C2512yes—
2008C22×C4C2511yescharacteristic
2009C22×C4C2511yescharacteristic
2010C22×C4C2511yescharacteristic
2011C22×C4C2511yescharacteristic
2012C22×C4C2511yescharacteristic
2013C22×C4C2511yescharacteristic
2014C22×C4C2512yes—
2015C22×C4C2512yes—
2016C22×C4C2512yes—
2017C22×C4C2511yescharacteristic
2018C22×C4C2511yescharacteristic
2019C22×C4C2512yes—
2020C22×C4C2512yes—
2021C22×C4C2512yes—
2022C22×C4C2512yes—
2023C22×C4C2511yescharacteristic
2024C22×C4C2512yes—
2025C22×C4C2511yescharacteristic
2026C22×C4C2511yescharacteristic
2027C22×C4C2511yescharacteristic
2028C22×C4C2511yescharacteristic
2029C22×C4C2511yescharacteristic
2030C22×C4C2511yescharacteristic
2031C4⋊C4—22no—
2032C4⋊C4—22no—
2033C4⋊C4—22no—
2034C4⋊C4—24no—
2035C4⋊C4—24no—
2036C4⋊C4—22no—
2037C4⋊C4—24no—
2038C4⋊C4—24no—
2039C4⋊C4—24no—
2040C4⋊C4—24no—
2041C4⋊C4—22no—
2042C4⋊C4—22no—
2043C4⋊C4—24no—
2044C4⋊C4—22no—
2045C4⋊C4—22no—
2046C4⋊C4—24no—
2047C4⋊C4—22no—
2048C4⋊C4—22no—
2049C4⋊C4—22no—
2050C4⋊C4—24no—
2051C4⋊C4—24no—
2052C4⋊C4—22no—
2053C4⋊C4—22no—
2054C4⋊C4—22no—
2055C4⋊C4—24no—
2056C4⋊C4—24no—
2057C4⋊C4—24no—
2058C4⋊C4—24no—
2059C4⋊C4—24no—
2060C4⋊C4—24no—
2061C4⋊C4—24no—
2062C4⋊C4—24no—
2063C4⋊C4—24no—
2064C4⋊C4—24no—
2065C4⋊C4—24no—
2066C4⋊C4—24no—
2067C4⋊C4—24no—
2068C4⋊C4—24no—
2069C4⋊C4—22no—
2070C4⋊C4—22no—
2071C4⋊C4—24no—
2072C4⋊C4—22no—
2073C4⋊C4—22no—
2074C4⋊C4—22no—
2075C4⋊C4—22no—
2076C4⋊C4—22no—
2077C4⋊C4—24no—
2078C4⋊C4—22no—
2079C4⋊C4—24no—
2080C4⋊C4—22no—
2081C4⋊C4—22no—
2082C4⋊C4—22no—
2083C4⋊C4—42no—
2084C4⋊C4—42no—
2085C4⋊C4—42no—
2086C4⋊C4—41no—
2087C4⋊C4—41no—
2088C4⋊C4—41no—
2089C4⋊C4—41no—
2090C4⋊C4—42no—
2091C4⋊C4—42no—
2092C4⋊C4—41no—
2093C4⋊C4—41no—
2094C4⋊C4—42no—
2095C4⋊C4—42no—
2096C4⋊C4—42no—
2097C4⋊C4—42no—
2098C4⋊C4—42no—
2099C4⋊C4—42no—
2100C4⋊C4—42no—
2101C4⋊C4—42no—
2102C4⋊C4—41no—
2103C4⋊C4—42no—
2104C4⋊C4—42no—
2105C4⋊C4—41no—
2106C4⋊C4—41no—
2107C4⋊C4—42no—
2108C4⋊C4—42no—
2109C4⋊C4—42no—
2110C4⋊C4—42no—
2111C4⋊C4—42no—
2112C4⋊C4—42no—
2113C4⋊C4—42no—
2114C4⋊C4—41no—
2115C4⋊C4—42no—
2116C4⋊C4—42no—
2117C4⋊C4—42no—
2118C4⋊C4—41no—
2119C4⋊C4—42no—
2120C4⋊C4—42no—
2121C4⋊C4—41no—
2122C4⋊C4—41no—
2123C4⋊C4—42no—
2124C4⋊C4—41no—
2125C4⋊C4—41no—
2126C4⋊C4—41no—
2127C4⋊C4C2×#4114yes—
2128C4⋊C4C2×#4114yes—
2129C4⋊C4C2×#4114yes—
2130C4⋊C4C2×#4114yes—
2131C4⋊C4C2×#4118yes—
2132C22⋊C4—22no—
2133C22⋊C4—22no—
2134C22⋊C4—22no—
2135C22⋊C4—24no—
2136C22⋊C4—22no—
2137C22⋊C4—24no—
2138C22⋊C4—22no—
2139C22⋊C4—22no—
2140C22⋊C4—24no—
2141C22⋊C4—24no—
2142C22⋊C4—22no—
2143C22⋊C4—22no—
2144C22⋊C4—22no—
2145C22⋊C4—22no—
2146C22⋊C4—24no—
2147C22⋊C4—22no—
2148C22⋊C4—22no—
2149C22⋊C4—24no—
2150C22⋊C4—22no—
2151C22⋊C4—22no—
2152C22⋊C4—22no—
2153C22⋊C4—22no—
2154C22⋊C4—24no—
2155C22⋊C4—24no—
2156C22⋊C4—24no—
2157C22⋊C4—24no—
2158C22⋊C4—22no—
2159C22⋊C4—22no—
2160C22⋊C4—24no—
2161C22⋊C4—24no—
2162C22⋊C4—24no—
2163C22⋊C4—24no—
2164C22⋊C4—24no—
2165C22⋊C4—24no—
2166C22⋊C4—24no—
2167C22⋊C4—24no—
2168C22⋊C4—24no—
2169C22⋊C4—24no—
2170C22⋊C4—22no—
2171C22⋊C4—22no—
2172C22⋊C4—24no—
2173C22⋊C4—24no—
2174C22⋊C4—24no—
2175C22⋊C4—22no—
2176C22⋊C4—22no—
2177C22⋊C4—22no—
2178C22⋊C4—41no—
2179C22⋊C4—42no—
2180C22⋊C4—42no—
2181C22⋊C4—41no—
2182C22⋊C4—41no—
2183C22⋊C4—42no—
2184C22⋊C4—42no—
2185C22⋊C4—41no—
2186C22⋊C4—41no—
2187C22⋊C4—42no—
2188C22⋊C4—42no—
2189C22⋊C4—42no—
2190C22⋊C4—42no—
2191C22⋊C4—42no—
2192C22⋊C4—42no—
2193C22⋊C4—42no—
2194C22⋊C4—42no—
2195C22⋊C4—42no—
2196C22⋊C4—41no—
2197C22⋊C4—41no—
2198C22⋊C4—41no—
2199C22⋊C4—41no—
2200C22⋊C4—42no—
2201C22⋊C4—42no—
2202C22⋊C4—42no—
2203C22⋊C4—42no—
2204C22⋊C4—41no—
2205C22⋊C4—42no—
2206C22⋊C4—42no—
2207C22⋊C4—41no—
2208C22⋊C4—42no—
2209C22⋊C4—42no—
2210C22⋊C4—42no—
2211C22⋊C4—42no—
2212C22⋊C4—42no—
2213C22⋊C4—41no—
2214C22⋊C4—42no—
2215C22⋊C4—42no—
2216C22⋊C4—42no—
2217C22⋊C4—42no—
2218C22⋊C4—42no—
2219C22⋊C4—41no—
2220C22⋊C4—41no—
2221C22⋊C4—41no—
2222C22⋊C4—42no—
2223C22⋊C4—42no—
2224C22⋊C4—42no—
2225C22⋊C4—42no—
2226C22⋊C4—42no—
2227C22⋊C4—42no—
2228C22⋊C4C2×#4118yes—
2229C42—22no—
2230C42—24no—
2231C42—24no—
2232C42—22no—
2233C42—22no—
2234C42—22no—
2235C42—22no—
2236C42—24no—
2237C42—24no—
2238C42—24no—
2239C42—24no—
2240C42—24no—
2241C42—22no—
2242C42—24no—
2243C42—22no—
2244C42—22no—
2245C42—22no—
2246C42—22no—
2247C42—22no—
2248C42—24no—
2249C42—22no—
2250C42—41no—
2251C42—41no—
2252C42—41no—
2253C42—41no—
2254C42—41no—
2255C42—41no—
2256C42—42no—
2257C42—42no—
2258C42—42no—
2259C42—42no—
2260C42—42no—
2261C42—41no—
2262C42—42no—
2263C42—41no—
2264C42—42no—
2265C42—42no—
2266C42—42no—
2267C42—42no—
2268C42—42no—
2269C42—42no—
2270C42—42no—
2271C42—42no—
2272C42—42no—
2273C42—41no—
2274C42—41no—
2275C42—42no—
2276C42—42no—
2277C42—42no—
2278C42—41no—
2279C42—41no—
2280C42—42no—
2281C42C2×#4114yes—
2282C42C2×#4118yes—
2283C23—21no—
2284C23—21no—
2285C23—21no—
2286C23—21no—
2287C23—21no—
2288C23—21no—
2289C23—21no—
2290C23—21no—
2291C23—21no—
2292C23—21no—
2293C23—21no—
2294C23—21no—
2295C23—21no—
2296C23—21no—
2297C23—21no—
2298C23—21no—
2299C23—21no—
2300C23—21no—
2301C23—22no—
2302C23—21no—
2303C23—22no—
2304C23—22no—
2305C23—22no—
2306C23—21no—
2307C23—21no—
2308C23—22no—
2309C23—22no—
2310C23—21no—
2311C23—21no—
2312C23—22no—
2313C23—22no—
2314C23—22no—
2315C23—22no—
2316C23—22no—
2317C23—22no—
2318C23—21no—
2319C23—22no—
2320C23—22no—
2321C23—21no—
2322C23C22×#4112yes—
2323C23C2×H(5,𝔽2)12yes—
2324C23#58512yes—
2325C23C2611yescharacteristic
2326Q8—48no—
2327Q8—44no—
2328Q8—84no—
2329D4—28no—
2330D4—48no—
2331D4—44no—
2332D4—48no—
2333D4—48no—
2334D4—44no—
2335D4—44no—
2336D4—44no—
2337D4—44no—
2338D4—44no—
2339D4—84no—
2340D4—84no—
2341D4—84no—
2342D4—82no—
2343D4—84no—
2344D4—84no—
2345D4—84no—
2346D4—162no—
2347C2×C4—21no—
2348C2×C4—22no—
2349C2×C4—22no—
2350C2×C4—21no—
2351C2×C4—22no—
2352C2×C4—21no—
2353C2×C4—21no—
2354C2×C4—21no—
2355C2×C4—22no—
2356C2×C4—21no—
2357C2×C4—22no—
2358C2×C4—21no—
2359C2×C4—21no—
2360C2×C4—22no—
2361C2×C4—22no—
2362C2×C4—21no—
2363C2×C4—21no—
2364C2×C4—21no—
2365C2×C4—22no—
2366C2×C4—21no—
2367C2×C4—28no—
2368C2×C4—21no—
2369C2×C4—21no—
2370C2×C4—22no—
2371C2×C4—21no—
2372C2×C4—21no—
2373C2×C4—22no—
2374C2×C4—21no—
2375C2×C4—21no—
2376C2×C4—22no—
2377C2×C4—21no—
2378C2×C4—21no—
2379C2×C4—21no—
2380C2×C4—21no—
2381C2×C4—21no—
2382C2×C4—21no—
2383C2×C4—21no—
2384C2×C4—21no—
2385C2×C4—21no—
2386C2×C4—22no—
2387C2×C4—21no—
2388C2×C4—22no—
2389C2×C4—22no—
2390C2×C4—22no—
2391C2×C4—22no—
2392C2×C4—22no—
2393C2×C4—22no—
2394C2×C4—21no—
2395C2×C4—21no—
2396C2×C4—22no—
2397C2×C4—21no—
2398C2×C4—21no—
2399C2×C4—22no—
2400C2×C4—21no—
2401C2×C4—21no—
2402C2×C4—22no—
2403C2×C4—22no—
2404C2×C4—22no—
2405C2×C4—21no—
2406C2×C4—21no—
2407C2×C4—21no—
2408C2×C4—21no—
2409C2×C4—21no—
2410C2×C4—21no—
2411C2×C4—21no—
2412C2×C4—22no—
2413C2×C4—21no—
2414C2×C4—21no—
2415C2×C4—21no—
2416C2×C4—21no—
2417C2×C4—21no—
2418C2×C4—22no—
2419C2×C4—21no—
2420C2×C4—22no—
2421C2×C4—22no—
2422C2×C4—21no—
2423C2×C4—21no—
2424C2×C4—21no—
2425C2×C4—21no—
2426C2×C4—22no—
2427C2×C4—21no—
2428C2×C4—21no—
2429C2×C4—21no—
2430C2×C4—21no—
2431C2×C4—22no—
2432C2×C4—21no—
2433C2×C4—21no—
2434C2×C4—21no—
2435C2×C4—22no—
2436C2×C4—22no—
2437C2×C4—21no—
2438C2×C4—21no—
2439C2×C4—21no—
2440C2×C4—21no—
2441C2×C4—22no—
2442C2×C4—21no—
2443C2×C4—22no—
2444C2×C4—22no—
2445C2×C4—22no—
2446C2×C4—21no—
2447C2×C4—21no—
2448C2×C4—21no—
2449C2×C4—21no—
2450C2×C4—22no—
2451C2×C4—21no—
2452C2×C4—22no—
2453C2×C4—22no—
2454C2×C4—21no—
2455C2×C4—21no—
2456C2×C4—21no—
2457C2×C4—21no—
2458C2×C4—44no—
2459C2×C4—48no—
2460C2×C4—48no—
2461C2×C4—48no—
2462C2×C4—44no—
2463C2×C4—48no—
2464C2×C4—44no—
2465C2×C4—44no—
2466C2×C4—44no—
2467C2×C4—82no—
2468C2×C4—84no—
2469C2×C4—84no—
2470C2×C4—84no—
2471C2×C4—84no—
2472C2×C4—84no—
2473C2×C4—84no—
2474C2×C4—84no—
2475C2×C4—82no—
2476C2×C4—82no—
2477C2×C4—82no—
2478C2×C4—162no—
2479C2×C4—162no—
2480C2×C4C22×#4114yes—
2481C2×C4C22×#4114yes—
2482C2×C4C22×#4112yes—
2483C2×C4C22×#4112yes—
2484C2×C4C22×#4112yes—
2485C2×C4C22×#4114yes—
2486C2×C4C22×#4114yes—
2487C2×C4C22×#4112yes—
2488C2×C4C22×#4112yes—
2489C2×C4C2×H(5,𝔽2)12yes—
2490C2×C4C2×H(5,𝔽2)12yes—
2491C2×C4#58512yes—
2492C2×C4#58512yes—
2493C22—22no—
2494C22—22no—
2495C22—22no—
2496C22—22no—
2497C22—22no—
2498C22—22no—
2499C22—22no—
2500C22—22no—
2501C22—22no—
2502C22—41no—
2503C22—41no—
2504C22—41no—
2505C22—41no—
2506C22—41no—
2507C22—41no—
2508C22—41no—
2509C22—41no—
2510C22—41no—
2511C22—41no—
2512C22—41no—
2513C22—41no—
2514C22—42no—
2515C22—41no—
2516C22—42no—
2517C22—41no—
2518C22—42no—
2519C22—42no—
2520C22—42no—
2521C22—41no—
2522C22—42no—
2523C22—42no—
2524C22—42no—
2525C22—41no—
2526C22—41no—
2527C22—42no—
2528C22—42no—
2529C22—42no—
2530C22—41no—
2531C22—42no—
2532C22—41no—
2533C22—42no—
2534C22—42no—
2535C22C23×#4111yescharacteristic
2536C22C23×#4111yescharacteristic
2537C22C22×H(5,𝔽2)11yescharacteristic
2538C22C2×#58511yescharacteristic
2539C22C2×#58511yescharacteristic
2540C22C2×#58511yescharacteristic
2541C222−1+611yescharacteristic
2542C4—24no—
2543C4—22no—
2544C4—22no—
2545C4—22no—
2546C4—24no—
2547C4—24no—
2548C4—24no—
2549C4—22no—
2550C4—22no—
2551C4—22no—
2552C4—41no—
2553C4—41no—
2554C4—41no—
2555C4—41no—
2556C4—42no—
2557C4—41no—
2558C4—41no—
2559C4—41no—
2560C4—41no—
2561C4—41no—
2562C4—42no—
2563C4—42no—
2564C4—41no—
2565C4—42no—
2566C4—41no—
2567C4—42no—
2568C4—41no—
2569C4—41no—
2570C4—42no—
2571C4—42no—
2572C4—41no—
2573C4—41no—
2574C4—42no—
2575C4—41no—
2576C4—42no—
2577C4—41no—
2578C4—41no—
2579C4—41no—
2580C4—41no—
2581C4—42no—
2582C4#348014yes—
2583C2—42no—
2584C2—42no—
2585C2—42no—
2586C2—82no—
2587C2—81no—
2588C2—82no—
2589C2C2×#348011yescharacteristic
2590C2#6277311yescharacteristic
2591C2#6280011yescharacteristic
2592C2#6290111yescharacteristic
2593C2#6299311yescharacteristic
2594C2#6300711yescharacteristic
2595C2#6302711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59775C2semidirect
2. #59723C2semidirect
3. #59672C2semidirect
4. #59633C2semidirect
5. #59627C2semidirect
6. #59588C2semidirect
7. #59580C2semidirect
8. #59446C2semidirect
9. #59440C2semidirect
10. #59180C2semidirect
11. #45014C2semidirect
12. #45011C2semidirect
13. #44882C2semidirect
14. #44878C2semidirect
15. #44402C2semidirect
16. #44232C2semidirect
17. #44070C2semidirect
18. #44066C2semidirect
19. #40287C2semidirect
20. #40271C2semidirect
21. #39831C2semidirect
22. #39817C2semidirect
23. #39425C2semidirect
24. #39314C2semidirect
25. #39298C2semidirect
26. #39057C2semidirect
27. #36537C2semidirect
28. #36525C2semidirect
29. #36490C2semidirect
30. #36472C2semidirect
31. #36436C2semidirect
32. #36263C2semidirect
33. #36256C2semidirect
34. #36253C2semidirect
35. #36118C2semidirect
36. #35882C2semidirect
37. #35736C2semidirect
38. #35736C2semidirect
39. #35699C2semidirect
40. #34910C2semidirect
41. #34908C2semidirect
42. #34319C2semidirect
43. #34305C2semidirect
44. #34285C2semidirect
45. #34272C2semidirect
46. C4×#552C2semidirect
47. C4×#547C2semidirect
1469. #117#41semidirect

Maximal subgroups

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

subgroupindex
#597752
#597232
#596722
#596332
#596272
#595882
#595802
#594462
#594402
#591802
#450142
#450112
#448822
#448782
#444022
#442322
#440702
#440662
#402872
#402712
#398312
#398172
#394252
#393142
#392982
#390572
#365372
#365252
#364902
#364722
#364362
#362632
#362562
#362532
#361182
#358822
#357362
#356992
#349102
#349082
#343192
#343052
#342852
#342722
C4×#5522
C4×#5472