Finite Group Databasebeta

← #7688045

Subgroups — #7688045

Order 512.

5505 conjugacy classes of subgroups.

The subgroup lattice has 2699 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59854C211yesmaximal, characteristic, complemented
2#59775C212yesmaximal, complemented
3#59737C212yesmaximal, complemented
4#59713C211yesmaximal, characteristic, complemented
5#59677C211yesmaximal, characteristic, complemented
6#59633C211yesmaximal, characteristic, complemented
7#59141C212yesmaximal, complemented
8#59141C212yesmaximal, complemented
9#59139C211yesmaximal, characteristic, complemented
10#59110C212yesmaximal, complemented
11#45048C211yesmaximal, characteristic, complemented
12#45044C211yesmaximal, characteristic, complemented
13#45039C211yesmaximal, characteristic, complemented
14#45036C211yesmaximal, characteristic, complemented
15#44080C212yesmaximal, complemented
16#44076C212yesmaximal, complemented
17#44071C212yesmaximal, complemented
18#44067C212yesmaximal, complemented
19#39317C212yesmaximal, complemented
20#39309C212yesmaximal, complemented
21#39295C211yesmaximal, characteristic, complemented
22#39275C211yesmaximal, characteristic, complemented
23#38488C212yesmaximal, complemented
24#38487C212yesmaximal, complemented
25#38123C211yesmaximal, characteristic, complemented
26#37706C211yesmaximal, characteristic, complemented
27#36604C212yesmaximal, complemented
28#36596C211yesmaximal, characteristic, complemented
29#36495C211yesmaximal, characteristic, complemented
30#36488C211yesmaximal, characteristic, complemented
31#36263C211yesmaximal, characteristic, complemented
32#36225C212yesmaximal, complemented
33#36126C211yesmaximal, characteristic, complemented
34#36126C211yesmaximal, characteristic, complemented
35#36126C211yesmaximal, characteristic, complemented
36#35882C211yesmaximal, characteristic, complemented
37#35865C211yesmaximal, characteristic, complemented
38#35725C211yesmaximal, characteristic, complemented
39#35699C211yesmaximal, characteristic, complemented
40#34937C212yesmaximal, complemented
41#34856C211yesmaximal, characteristic, complemented
42#34305C211yesmaximal, characteristic, complemented
43#34298C211yesmaximal, characteristic, complemented
44#34298C211yesmaximal, characteristic, complemented
45#34287C211yesmaximal, characteristic, complemented
46C4×#547C211yesmaximal, characteristic, complemented
47C2×#2370C211yesmaximal, characteristic, complemented
48C2×#553C2211yescharacteristic
49C2×#553C2212yes—
50C2×#553C2212yes—
51C2×#547C2211yescharacteristic
52C2×#547C2211yescharacteristic
53C2×#547C2211yescharacteristic
54C2×#540C2211yescharacteristic
55C2×#532C2212yes—
56C2×#532C2212yes—
57C2×#532C2212yes—
58C22×#125C2211yescharacteristic
59C2×C4×#41C2212yes—
60#2860C2211yescharacteristic
61#2856C2211yescharacteristic
62#2856C2211yescharacteristic
63#2856C2211yescharacteristic
64#2854C2212yes—
65#2854C2212yes—
66#2854C2212yes—
67#2854C2211yescharacteristic
68#2853C2212yes—
69#2852C2212yes—
70#2808C2212yes—
71#2805C2212yes—
72#2803C2212yes—
73#2803C2212yes—
74#2803C2212yes—
75#2803C2212yes—
76#2803C2212yes—
77#2800C2212yes—
78#2800C2212yes—
79#2800C2212yes—
80#2797C2212yes—
81#2788C2212yes—
82#2788C2212yes—
83#2783C2212yes—
84#2780C2212yes—
85#2779C2212yes—
86#2775C2212yes—
87#2774C2212yes—
88#2751C2212yes—
89#2745C2212yes—
90#2727C2212yes—
91#2725C2212yes—
92#2716C2212yes—
93#2716C2212yes—
94#2715C2212yes—
95#2715C2212yes—
96#2714C2212yes—
97#2713C2212yes—
98#2713C2212yes—
99#2711C2212yes—
100#2711C2212yes—
101#2711C2212yes—
102#2710C2212yes—
103#2710C2212yes—
104#2709C2212yes—
105#2709C2212yes—
106#2707C2212yes—
107#2707C2212yes—
108#2701C2212yes—
109#2682C2212yes—
110#2673C2212yes—
111#2673C2212yes—
112#2652C2212yes—
113#2649C2212yes—
114#2649C2212yes—
115#2648C2212yes—
116#2644C2211yescharacteristic
117#2641C2211yescharacteristic
118#2629C2211yescharacteristic
119#2624C2211yescharacteristic
120#2608C2212yes—
121#2604C2212yes—
122#2602C2212yes—
123#2602C2212yes—
124#2601C2212yes—
125#2600C2212yes—
126#2599C2212yes—
127#2597C2212yes—
128#2597C2211yescharacteristic
129#2597C2212yes—
130#2597C2212yes—
131#2596C2212yes—
132#2596C2211yescharacteristic
133#2596C2212yes—
134#2595C2211yescharacteristic
135#2595C2212yes—
136#2594C2211yescharacteristic
137#2593C2211yescharacteristic
138#2591C2211yescharacteristic
139#2591C2212yes—
140#2591C2212yes—
141#2587C2212yes—
142#2587C2212yes—
143#2585C2212yes—
144#2585C2211yescharacteristic
145#2585C2212yes—
146#2579C2211yescharacteristic
147#2578C2212yes—
148#2576C2212yes—
149#2573C2211yescharacteristic
150#2569C2211yescharacteristic
151#2566C2211yescharacteristic
152#2562C2211yescharacteristic
153#2559C2212yes—
154#2559C2212yes—
155#2559C2212yes—
156#2559C2212yes—
157#2558C2212yes—
158#2558C2212yes—
159#2557C2212yes—
160#2557C2212yes—
161#2554C2212yes—
162#2554C2211yescharacteristic
163#2554C2212yes—
164#2554C2212yes—
165#2554C2212yes—
166#2552C2211yescharacteristic
167#2551C2211yescharacteristic
168#2551C2211yescharacteristic
169#2551C2211yescharacteristic
170#2550C2212yes—
171#2548C2212yes—
172#2547C2212yes—
173#2546C2212yes—
174#2545C2212yes—
175#2545C2212yes—
176#2544C2212yes—
177#2544C2212yes—
178#2543C2212yes—
179#2543C2212yes—
180#2543C2212yes—
181#2543C2211yescharacteristic
182#2543C2212yes—
183#2543C2212yes—
184#2541C2211yescharacteristic
185#2541C2211yescharacteristic
186#2541C2211yescharacteristic
187#2541C2211yescharacteristic
188#2541C2212yes—
189#2526C2212yes—
190#2525C2212yes—
191#2525C2212yes—
192#2521C2212yes—
193#2521C2212yes—
194#2518C2212yes—
195#2516C2212yes—
196#2516C2212yes—
197#2513C2211yescharacteristic
198#2512C2211yescharacteristic
199#2512C2211yescharacteristic
200#2512C2211yescharacteristic
201#2510C2211yescharacteristic
202#2509C2211yescharacteristic
203#2508C2211yescharacteristic
204#2507C2211yescharacteristic
205#2506C2211yescharacteristic
206#2504C2212yes—
207#2497C2211yescharacteristic
208#2497C2211yescharacteristic
209#2496C2211yescharacteristic
210#2495C2211yescharacteristic
211#2491C2211yescharacteristic
212#2491C2211yescharacteristic
213#2491C2211yescharacteristic
214#2491C2211yescharacteristic
215#2491C2211yescharacteristic
216#2491C2211yescharacteristic
217#2490C2211yescharacteristic
218#2490C2211yescharacteristic
219#2490C2212yes—
220#2490C2211yescharacteristic
221#2490C2211yescharacteristic
222#2485C2211yescharacteristic
223#2485C2211yescharacteristic
224#2481C2212yes—
225#2481C2212yes—
226#2481C2211yescharacteristic
227#2478C2212yes—
228#2476C2212yes—
229#2475C2212yes—
230#2474C2212yes—
231#2474C2212yes—
232#2471C2212yes—
233#2468C2212yes—
234#2468C2212yes—
235#2467C2212yes—
236#2467C2212yes—
237#2466C2212yes—
238#2466C2212yes—
239#2466C2212yes—
240#2462C2212yes—
241#2461C2212yes—
242#2461C2212yes—
243#2461C2212yes—
244#2461C2212yes—
245#2461C2212yes—
246#2461C2212yes—
247#2460C2212yes—
248#2460C2212yes—
249#2460C2212yes—
250#2459C2212yes—
251#2459C2212yes—
252#2458C2212yes—
253#2457C2212yes—
254#2457C2212yes—
255#2456C2212yes—
256#2454C2211yescharacteristic
257#2454C2211yescharacteristic
258#2454C2212yes—
259#2452C2212yes—
260#2452C2212yes—
261#2452C2212yes—
262#2445C2211yescharacteristic
263#2445C2211yescharacteristic
264#2445C2212yes—
265#2445C2212yes—
266#2445C2212yes—
267#2445C2212yes—
268#2445C2211yescharacteristic
269#2445C2211yescharacteristic
270#2444C2211yescharacteristic
271#2444C2212yes—
272#2444C2212yes—
273#2444C2212yes—
274#2444C2212yes—
275#2443C2212yes—
276#2443C2212yes—
277#2443C2211yescharacteristic
278#2443C2212yes—
279#2443C2212yes—
280#2442C2211yescharacteristic
281#2441C2211yescharacteristic
282#2439C2212yes—
283#2430C2212yes—
284#2430C2212yes—
285#2430C2212yes—
286#2430C2212yes—
287#2430C2212yes—
288#2430C2212yes—
289#2428C2211yescharacteristic
290#2428C2212yes—
291#2428C2211yescharacteristic
292#2425C2212yes—
293#2425C2212yes—
294#2420C2211yescharacteristic
295#2420C2212yes—
296#2420C2211yescharacteristic
297#2419C2212yes—
298#2419C2212yes—
299#2416C2212yes—
300#2416C2211yescharacteristic
301#2416C2211yescharacteristic
302#2416C2212yes—
303#2416C2211yescharacteristic
304#2416C2211yescharacteristic
305#2416C2212yes—
306#2416C2211yescharacteristic
307#2416C2211yescharacteristic
308#2416C2211yescharacteristic
309#2416C2212yes—
310#2416C2212yes—
311#2416C2212yes—
312#2414C2211yescharacteristic
313#2402C2211yescharacteristic
314#2401C2211yescharacteristic
315#2395C2211yescharacteristic
316#2392C2212yes—
317#2392C2212yes—
318#2392C2212yes—
319#2392C2211yescharacteristic
320#2392C2212yes—
321#2374C2212yes—
322#2374C2212yes—
323#2374C2212yes—
324#2374C2212yes—
325#2373C2212yes—
326#2373C2212yes—
327#2370C2211yescharacteristic
328#2370C2211yescharacteristic
329#2370C2211yescharacteristic
330#2370C2212yes—
331#2370C2212yes—
332#2370C2211yescharacteristic
333#2370C2211yescharacteristic
334#2370C2212yes—
335#2370C2211yescharacteristic
336#2370C2211yescharacteristic
337#2370C2212yes—
338#2370C2211yescharacteristic
339#2370C2211yescharacteristic
340#2369C2211yescharacteristic
341#2369C2211yescharacteristic
342#2368C2212yes—
343#2368C2212yes—
344#2366C2211yescharacteristic
345#2366C2211yescharacteristic
346#2366C2211yescharacteristic
347#2366C2211yescharacteristic
348#2365C2211yescharacteristic
349#2364C2212yes—
350#2364C2212yes—
351#2364C2212yes—
352#2364C2212yes—
353#2363C2211yescharacteristic
354#2363C2212yes—
355#2363C2211yescharacteristic
356#2363C2212yes—
357#2363C2211yescharacteristic
358#2363C2211yescharacteristic
359#2362C2212yes—
360#2361C2211yescharacteristic
361#2361C2211yescharacteristic
362#2361C2212yes—
363#2361C2211yescharacteristic
364#2361C2211yescharacteristic
365#2361C2211yescharacteristic
366#2361C2211yescharacteristic
367#2361C2211yescharacteristic
368#2361C2211yescharacteristic
369#2361C2211yescharacteristic
370#2361C2211yescharacteristic
371#2359C2212yes—
372#2359C2212yes—
373#2359C2212yes—
374#2359C2212yes—
375#2359C2212yes—
376#2359C2212yes—
377#2357C2211yescharacteristic
378#2357C2211yescharacteristic
379#2354C2211yescharacteristic
380#2354C2211yescharacteristic
381#2353C2212yes—
382#2352C2211yescharacteristic
383#2352C2211yescharacteristic
384#2349C2212yes—
385D4×C4⋊C4C2211yescharacteristic
386D4×C4⋊C4C2211yescharacteristic
387D4×C4⋊C4C2211yescharacteristic
388D4×C4⋊C4C2211yescharacteristic
389#2346C2211yescharacteristic
390#2345C2211yescharacteristic
391#2345C2211yescharacteristic
392#2345C2211yescharacteristic
393#2344C2211yescharacteristic
394#2344C2211yescharacteristic
395#2339C2212yes—
396#2339C2212yes—
397#2339C2212yes—
398#2335C2212yes—
399#2335C2212yes—
400#2335C2212yes—
401#2335C2212yes—
402#2334C2212yes—
403#2333C2212yes—
404#2332C2212yes—
405#2332C2212yes—
406#2331C2211yescharacteristic
407#2331C2211yescharacteristic
408#2330C2211yescharacteristic
409#2324C2211yescharacteristic
410#2324C2211yescharacteristic
411#2324C2211yescharacteristic
412#2319C2211yescharacteristic
413C4×C4⋊Q8C2211yescharacteristic
414C4×#126C2211yescharacteristic
415C4×C22⋊Q8C2212yes—
416C4×#123C2212yes—
417C4×#123C2212yes—
418C4×#123C2211yescharacteristic
419C4×#123C2212yes—
420C4×#123C2212yes—
421C4×#123C2212yes—
422C4×#121C2212yes—
423C4×#121C2211yescharacteristic
424C4×#121C2211yescharacteristic
425C4×#121C2211yescharacteristic
426C4×#121C2211yescharacteristic
427C4×#121C2211yescharacteristic
428C4×#121C2211yescharacteristic
429C4×#121C2212yes—
430C4×#121C2211yescharacteristic
431C4×#121C2211yescharacteristic
432C4×#121C2212yes—
433C4×#121C2212yes—
434#2298C2211yescharacteristic
435#2297C2212yes—
436#2297C2212yes—
437#2293C2211yescharacteristic
438C2×#389C2211yescharacteristic
439C2×#389C2212yes—
440C2×#389C2211yescharacteristic
441#2290C2211yescharacteristic
442#2290C2212yes—
443#2290C2211yescharacteristic
444#2290C2211yescharacteristic
445C2×#387C2212yes—
446C2×#387C2212yes—
447#2275C2211yescharacteristic
448#2275C2211yescharacteristic
449#2274C2211yescharacteristic
450#2274C2211yescharacteristic
451C42×D4C2211yescharacteristic
452C42×D4C2211yescharacteristic
453C2×C4×C4⋊C4C2211yescharacteristic
454C2×C4×C4⋊C4C2211yescharacteristic
455C2×C4×C4⋊C4C2211yescharacteristic
456C2×C4×C4⋊C4C2211yescharacteristic
457C2×C4×C4⋊C4C2211yescharacteristic
458C2×C4×C4⋊C4C2212yes—
459C22×#41C2312yes—
460C22×#41C2312yes—
461C22×#41C2312yes—
462#553—28no—
463#553—48no—
464#553—48no—
465#547—28no—
466#547—28no—
467#547—28no—
468#540—28no—
469#532—48no—
470#532—48no—
471#532—48no—
472C2×C4⋊Q8C2311yescharacteristic
473C2×C4⋊Q8C2311yescharacteristic
474C2×C4⋊Q8C2311yescharacteristic
475C2×C4⋊Q8C2312yes—
476C2×C4⋊Q8C2312yes—
477C2×C4⋊Q8C2312yes—
478C2×#127C2311yescharacteristic
479C2×#127C2311yescharacteristic
480C2×#127C2311yescharacteristic
481C2×#127C2312yes—
482C2×#127C2312yes—
483C2×#127C2312yes—
484C2×#126C2312yes—
485C2×#126C2311yescharacteristic
486C2×#126C2312yes—
487C2×#126C2312yes—
488C2×#126C2312yes—
489C2×#126C2312yes—
490C2×#126C2312yes—
491C2×#125—28no—
492C2×#125C2311yescharacteristic
493C2×#125C2311yescharacteristic
494C2×#125C2311yescharacteristic
495C2×#125C2312yes—
496C2×#125C2312yes—
497C2×#125C2312yes—
498C2×#125C2312yes—
499C2×#125C2311yescharacteristic
500C2×#124C2312yes—
501C2×#124C2312yes—
502C2×#124C2312yes—
503C2×#124C2312yes—
504C2×#124C2312yes—
505C2×#124C2312yes—
506C2×#123C2312yes—
507C2×#123C2312yes—
508C2×#123C2312yes—
509C2×#123C2312yes—
510C2×#123C2312yes—
511C2×#123C2312yes—
512C2×#123C2312yes—
513C2×#123C2312yes—
514C2×#123C2312yes—
515C2×#123C2312yes—
516C2×#123C2312yes—
517C2×#123C2312yes—
518C2×#123C2312yes—
519C2×#123C2311yescharacteristic
520C2×#123C2312yes—
521C2×C22⋊Q8C2312yes—
522C2×C22⋊Q8C2312yes—
523C2×C22⋊Q8C2312yes—
524C2×#121C2311yescharacteristic
525C2×#121C2311yescharacteristic
526C2×#121C2311yescharacteristic
527C2×#121C2312yes—
528C2×#121C2311yescharacteristic
529C2×#121C2312yes—
530C2×#121C2311yescharacteristic
531C2×#121C2311yescharacteristic
532C2×#121C2311yescharacteristic
533C2×#121C2311yescharacteristic
534C2×#121C2311yescharacteristic
535C2×#121C2312yes—
536C2×#121C2311yescharacteristic
537C2×#121C2311yescharacteristic
538C2×#121C2312yes—
539C2×#121C2312yes—
540C2×#121C2312yes—
541C2×#121C2311yescharacteristic
542C2×#121C2311yescharacteristic
543C2×#121C2312yes—
544C2×#121C2312yes—
545C2×#121C2312yes—
546C2×#121C2312yes—
547C2×#121C2311yescharacteristic
548C2×#121C2312yes—
549C2×#121C2312yes—
550C2×#121C2311yescharacteristic
551C2×#121C2312yes—
552C2×#121C2312yes—
553C2×#121C2312yes—
554C2×#121C2312yes—
555C2×#121C2312yes—
556C2×#121C2312yes—
557C2×#121C2312yes—
558C2×#121C2312yes—
559C4×#41—48no—
560C2×C4×Q8C2312yes—
561C2×C4×Q8C2312yes—
562C2×C4×D4C2311yescharacteristic
563C2×C4×D4C2311yescharacteristic
564C2×C4×D4C2311yescharacteristic
565C2×C4×D4C2311yescharacteristic
566C2×C4×D4C2311yescharacteristic
567C2×C4×D4C2311yescharacteristic
568C2×C4×D4C2312yes—
569C2×C4×D4C2311yescharacteristic
570C2×C4×D4C2311yescharacteristic
571C2×C4×D4C2312yes—
572C2×C4×D4C2311yescharacteristic
573C2×C4×D4C2311yescharacteristic
574C2×C4×D4C2311yescharacteristic
575C2×C4×D4C2311yescharacteristic
576C2×C4×D4C2311yescharacteristic
577C2×C4×D4C2311yescharacteristic
578C2×C4×D4C2312yes—
579C2×C4×D4C2312yes—
580C2×C4×D4C2312yes—
581C2×C4×D4C2312yes—
582C2×C4×D4C2312yes—
583C2×C4×D4C2312yes—
584C2×C4×D4C2312yes—
585C2×C4×D4C2312yes—
586C2×C4×D4C2312yes—
587C2×C4×D4C2312yes—
588C2×C4×D4C2311yescharacteristic
589C2×C4×D4C2311yescharacteristic
590C2×C4×D4C2312yes—
591C2×C4×D4C2312yes—
592C2×C4×D4C2312yes—
593C2×C4×D4C2312yes—
594C2×C4×D4C2312yes—
595C2×C4×D4C2312yes—
596C2×C4×D4C2312yes—
597C2×C4×D4C2312yes—
598C2×C4×D4C2312yes—
599C2×C4×D4C2312yes—
600C2×C4×D4C2311yescharacteristic
601C2×C4×D4C2312yes—
602C2×C4×D4C2312yes—
603C2×#117C2311yescharacteristic
604C2×#117C2311yescharacteristic
605C2×#117C2311yescharacteristic
606C2×#117C2312yes—
607C2×#117C2312yes—
608C2×#117C2312yes—
609C2×#117C2312yes—
610C2×#117C2311yescharacteristic
611C2×#117C2312yes—
612C22×C4⋊C4C2311yescharacteristic
613C22×C4⋊C4C2311yescharacteristic
614C22×C4⋊C4C2311yescharacteristic
615C22×C4⋊C4C2311yescharacteristic
616C22×C4⋊C4C2311yescharacteristic
617C22×C4⋊C4C2311yescharacteristic
618C22×C4⋊C4C2311yescharacteristic
619C22×C4⋊C4C2312yes—
620C22×C4⋊C4C2312yes—
621C22×C4⋊C4C2312yes—
622C22×C4⋊C4C2311yescharacteristic
623C22×C4⋊C4C2312yes—
624C22×C4⋊C4C2311yescharacteristic
625C22×C4⋊C4C2311yescharacteristic
626C22×C42C2312yes—
627C22×C42C2311yescharacteristic
628C22×C42C2312yes—
629C22×C42C2312yes—
630C22×C42C2312yes—
631C22×C42C2312yes—
632C22×C42C2311yescharacteristic
633C22×C42C2311yescharacteristic
634C22×C42C2311yescharacteristic
635#401C2311yescharacteristic
636#400C2312yes—
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646#400C2312yes—
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709#396C2312yes—
710#396C2312yes—
711#396C2312yes—
712#396C2312yes—
713#396C2312yes—
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715#396C2312yes—
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719#396C2312yes—
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727#395C2312yes—
728#395C2312yes—
729#394C2312yes—
730#394C2312yes—
731#394C2312yes—
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733#394C2312yes—
734#394C2312yes—
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740#394C2312yes—
741#394C2312yes—
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744#394C2312yes—
745#394C2312yes—
746#394C2312yes—
747#394C2312yes—
748#394C2312yes—
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763#394C2312yes—
764#394C2312yes—
765#394C2312yes—
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768#394C2312yes—
769#394C2312yes—
770#394C2312yes—
771#394C2312yes—
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777#393C2312yes—
778#393C2312yes—
779#392C2312yes—
780#392C2312yes—
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784#392C2312yes—
785#392C2312yes—
786#392C2312yes—
787#392C2312yes—
788#392C2312yes—
789#392C2312yes—
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795#391C2312yes—
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797#391C2312yes—
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799#391C2312yes—
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805#390C2312yes—
806#390C2312yes—
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811#390C2312yes—
812#390C2312yes—
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819#390C2312yes—
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822#390C2312yes—
823#390C2312yes—
824#390C2312yes—
825#390C2312yes—
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830#390C2312yes—
831#390C2312yes—
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833#390C2312yes—
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885#389C2312yes—
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899#389C2312yes—
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904#388C2312yes—
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913#388C2312yes—
914#388C2312yes—
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921#388C2312yes—
922#388C2312yes—
923#388C2312yes—
924#388C2312yes—
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928#388C2312yes—
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938#388C2312yes—
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940#388C2312yes—
941#388C2312yes—
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954#388C2312yes—
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985#388C2312yes—
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1003#387C2312yes—
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1012#387C2312yes—
1013#387C2312yes—
1014#387C2312yes—
1015#387C2312yes—
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1019#387C2312yes—
1020#387C2312yes—
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1022#387C2312yes—
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1064#386C2312yes—
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1123#385C2312yes—
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1128#385C2312yes—
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1211C4×C4⋊C4C2312yes—
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1300C2×#95C2312yes—
1301C2×#95C2312yes—
1302C2×#95C2312yes—
1303C2×#95C2312yes—
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1306C2×#41—28no—
1307C2×#41—28no—
1308C2×#41—28no—
1309C2×#41—28no—
1310C2×#41—44no—
1311C2×#41—44no—
1312C2×#41—44no—
1313C2×#41—44no—
1314C2×#41—44no—
1315C22×Q8C2412yes—
1316C22×Q8C2412yes—
1317C22×Q8C2412yes—
1318C22×D4C2411yescharacteristic
1319C22×D4C2411yescharacteristic
1320C22×D4C2411yescharacteristic
1321C22×D4C2412yes—
1322C22×D4C2412yes—
1323C22×D4C2412yes—
1324C22×D4C2411yescharacteristic
1325C22×D4C2411yescharacteristic
1326C22×D4C2412yes—
1327C22×D4C2411yescharacteristic
1328C22×D4C2411yescharacteristic
1329C22×D4C2412yes—
1330C22×D4C2411yescharacteristic
1331C22×D4C2411yescharacteristic
1332C22×D4C2412yes—
1333C22×D4C2412yes—
1334C22×D4C2412yes—
1335C22×D4C2412yes—
1336C22×D4C2412yes—
1337C22×D4C2412yes—
1338C22×D4C2412yes—
1339C22×D4C2412yes—
1340C22×D4C2412yes—
1341C22×D4C2412yes—
1342C22×D4C2412yes—
1343C22×D4C2412yes—
1344C22×D4C2412yes—
1345C23×C4C2411yescharacteristic
1346C23×C4C2411yescharacteristic
1347C23×C4C2411yescharacteristic
1348C23×C4C2412yes—
1349C23×C4C2411yescharacteristic
1350C23×C4C2412yes—
1351C23×C4C2411yescharacteristic
1352C23×C4C2411yescharacteristic
1353C23×C4C2412yes—
1354C23×C4C2412yes—
1355C23×C4C2411yescharacteristic
1356C23×C4C2412yes—
1357C23×C4C2412yes—
1358C23×C4C2411yescharacteristic
1359C23×C4C2412yes—
1360C23×C4C2412yes—
1361C23×C4C2412yes—
1362C23×C4C2411yescharacteristic
1363C23×C4C2412yes—
1364C23×C4C2412yes—
1365C23×C4C2412yes—
1366C23×C4C2412yes—
1367C23×C4C2412yes—
1368C23×C4C2412yes—
1369C23×C4C2411yescharacteristic
1370C23×C4C2411yescharacteristic
1371C23×C4C2412yes—
1372C23×C4C2412yes—
1373C23×C4C2411yescharacteristic
1374C4⋊Q8—24no—
1375C4⋊Q8—24no—
1376C4⋊Q8—24no—
1377C4⋊Q8—44no—
1378C4⋊Q8—44no—
1379C4⋊Q8—44no—
1380#127—24no—
1381#127—42no—
1382#127—42no—
1383#127—44no—
1384#127—44no—
1385#127—44no—
1386#126—28no—
1387#126—44no—
1388#126—44no—
1389#126—44no—
1390#126—42no—
1391#126—44no—
1392#126—44no—
1393#125—24no—
1394#125—24no—
1395#125—28no—
1396#125—28no—
1397#125—24no—
1398#125—44no—
1399#125—44no—
1400#125#4118yescomplemented
1401#124—44no—
1402#124—44no—
1403#124—44no—
1404#124—44no—
1405#124—44no—
1406#124—44no—
1407#123—28no—
1408#123—28no—
1409#123—28no—
1410#123—28no—
1411#123—28no—
1412#123—28no—
1413#123—28no—
1414#123—28no—
1415#123—28no—
1416#123—44no—
1417#123—44no—
1418#123—44no—
1419#123—42no—
1420#123—44no—
1421#123—44no—
1422C22⋊Q8—28no—
1423C22⋊Q8—28no—
1424C22⋊Q8—28no—
1425#121—24no—
1426#121—24no—
1427#121—28no—
1428#121—28no—
1429#121—24no—
1430#121—24no—
1431#121—24no—
1432#121—24no—
1433#121—28no—
1434#121—28no—
1435#121—28no—
1436#121—24no—
1437#121—24no—
1438#121—24no—
1439#121—24no—
1440#121—24no—
1441#121—28no—
1442#121—24no—
1443#121—24no—
1444#121—44no—
1445#121—44no—
1446#121—44no—
1447#121—44no—
1448#121—44no—
1449#121—42no—
1450#121—42no—
1451#121—44no—
1452#121—44no—
1453#121—44no—
1454#121—44no—
1455#121—44no—
1456#121—44no—
1457#121—44no—
1458#121—44no—
1459#121—44no—
1460C4×Q8—44no—
1461C4×Q8—44no—
1462C4×D4—24no—
1463C4×D4—24no—
1464C4×D4—24no—
1465C4×D4—24no—
1466C4×D4—24no—
1467C4×D4—28no—
1468C4×D4—24no—
1469C4×D4—24no—
1470C4×D4—24no—
1471C4×D4—24no—
1472C4×D4—24no—
1473C4×D4—28no—
1474C4×D4—24no—
1475C4×D4—24no—
1476C4×D4—44no—
1477C4×D4—44no—
1478C4×D4—44no—
1479C4×D4—42no—
1480C4×D4—42no—
1481C4×D4—42no—
1482C4×D4—44no—
1483C4×D4—44no—
1484C4×D4—42no—
1485C4×D4—42no—
1486C4×D4—44no—
1487C4×D4—44no—
1488C4×D4—44no—
1489C4×D4—44no—
1490C4×D4—44no—
1491C4×D4—44no—
1492C4×D4—44no—
1493C4×D4—44no—
1494C4×D4—44no—
1495C4×D4—44no—
1496C4×D4—44no—
1497C4×D4—44no—
1498C4×D4—44no—
1499C4×D4—44no—
1500C4×D4—44no—
1501C4×D4—44no—
1502C4×D4—44no—
1503#117—24no—
1504#117—24no—
1505#117—42no—
1506#117—44no—
1507#117—44no—
1508#117—44no—
1509#117—44no—
1510#117—44no—
1511#117—42no—
1512C2×C4⋊C4—24no—
1513C2×C4⋊C4—24no—
1514C2×C4⋊C4—24no—
1515C2×C4⋊C4—28no—
1516C2×C4⋊C4—28no—
1517C2×C4⋊C4—24no—
1518C2×C4⋊C4—24no—
1519C2×C4⋊C4—24no—
1520C2×C4⋊C4—24no—
1521C2×C4⋊C4—42no—
1522C2×C4⋊C4—44no—
1523C2×C4⋊C4—42no—
1524C2×C4⋊C4—44no—
1525C2×C4⋊C4#4118yes—
1526C2×C4⋊C4C2411yescharacteristic
1527C2×C4⋊C4C2411yescharacteristic
1528C2×C4⋊C4C2411yescharacteristic
1529C2×C4⋊C4C2411yescharacteristic
1530C2×C4⋊C4C2411yescharacteristic
1531C2×C4⋊C4C2411yescharacteristic
1532C2×C4⋊C4C2412yes—
1533C2×C4⋊C4C2411yescharacteristic
1534C2×C4⋊C4C2411yescharacteristic
1535C2×C4⋊C4C2411yescharacteristic
1536C2×C4⋊C4C2412yes—
1537C2×C4⋊C4C2412yes—
1538C2×C4⋊C4C2412yes—
1539C2×C4⋊C4C2411yescharacteristic
1540C2×C4⋊C4C2411yescharacteristic
1541C2×C4⋊C4C2412yes—
1542C2×C4⋊C4C2412yes—
1543C2×C4⋊C4C2411yescharacteristic
1544C2×C4⋊C4C2411yescharacteristic
1545C2×C4⋊C4C2411yescharacteristic
1546C2×C4⋊C4C2412yes—
1547C2×C4⋊C4C2412yes—
1548C2×C4⋊C4C2412yes—
1549C2×C4⋊C4C2412yes—
1550C2×C4⋊C4C2412yes—
1551C2×C4⋊C4C2412yes—
1552C2×C4⋊C4C2412yes—
1553C2×C4⋊C4C2412yes—
1554C2×C4⋊C4C2411yescharacteristic
1555C2×C4⋊C4C2411yescharacteristic
1556C2×C4⋊C4C2412yes—
1557C2×C4⋊C4C2412yes—
1558C2×C4⋊C4C2411yescharacteristic
1559C2×C4⋊C4C2411yescharacteristic
1560C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1571C2×C4⋊C4C2412yes—
1572C2×C4⋊C4C2412yes—
1573C2×C4⋊C4C2412yes—
1574C2×C4⋊C4C2411yescharacteristic
1575C2×C4⋊C4C2412yes—
1576C2×C4⋊C4C2412yes—
1577C2×C4⋊C4C2412yes—
1578C2×C4⋊C4C2412yes—
1579C2×C4⋊C4C2411yescharacteristic
1580C2×C4⋊C4C2412yes—
1581C2×C4⋊C4C2412yes—
1582C2×C4⋊C4C2412yes—
1583C2×C4⋊C4C2411yescharacteristic
1584C2×C4⋊C4C2412yes—
1585C2×C4⋊C4C2412yes—
1586C2×C4⋊C4C2412yes—
1587C2×C4⋊C4C2412yes—
1588C2×C4⋊C4C2412yes—
1589C2×C4⋊C4C2411yescharacteristic
1590C2×C4⋊C4C2411yescharacteristic
1591C2×C4⋊C4C2412yes—
1592C2×C4⋊C4C2412yes—
1593C2×C4⋊C4C2412yes—
1594C2×C4⋊C4C2412yes—
1595C2×C4⋊C4C2412yes—
1596C2×C4⋊C4C2412yes—
1597C2×C4⋊C4C2412yes—
1598C2×C4⋊C4C2412yes—
1599C2×C4⋊C4C2412yes—
1600C2×C4⋊C4C2412yes—
1601C2×C4⋊C4C2411yescharacteristic
1602C2×C4⋊C4C2411yescharacteristic
1603C2×C4⋊C4C2412yes—
1604C2×C4⋊C4C2412yes—
1605C2×C4⋊C4C2412yes—
1606C2×C4⋊C4C2411yescharacteristic
1607C2×C4⋊C4C2411yescharacteristic
1608C2×C4⋊C4C2411yescharacteristic
1609C2×C4⋊C4C2411yescharacteristic
1610C2×C4⋊C4C2411yescharacteristic
1611C2×C4⋊C4C2411yescharacteristic
1612C2×C4⋊C4C2411yescharacteristic
1613C2×C4⋊C4C2411yescharacteristic
1614C2×C4⋊C4C2412yes—
1615C2×C4⋊C4C2411yescharacteristic
1616C2×C4⋊C4C2412yes—
1617C2×C4⋊C4C2412yes—
1618C2×C22⋊C4C2411yescharacteristic
1619C2×C22⋊C4C2411yescharacteristic
1620C2×C22⋊C4C2412yes—
1621C2×C22⋊C4C2412yes—
1622C2×C22⋊C4C2412yes—
1623C2×C22⋊C4C2412yes—
1624C2×C22⋊C4C2411yescharacteristic
1625C2×C22⋊C4C2411yescharacteristic
1626C2×C22⋊C4C2412yes—
1627C2×C22⋊C4C2411yescharacteristic
1628C2×C22⋊C4C2411yescharacteristic
1629C2×C22⋊C4C2411yescharacteristic
1630C2×C22⋊C4C2411yescharacteristic
1631C2×C22⋊C4C2411yescharacteristic
1632C2×C22⋊C4C2411yescharacteristic
1633C2×C22⋊C4C2411yescharacteristic
1634C2×C22⋊C4C2411yescharacteristic
1635C2×C22⋊C4C2412yes—
1636C2×C22⋊C4C2412yes—
1637C2×C22⋊C4C2411yescharacteristic
1638C2×C22⋊C4C2412yes—
1639C2×C22⋊C4C2412yes—
1640C2×C22⋊C4C2412yes—
1641C2×C22⋊C4C2412yes—
1642C2×C22⋊C4C2412yes—
1643C2×C22⋊C4C2412yes—
1644C2×C22⋊C4C2411yescharacteristic
1645C2×C22⋊C4C2411yescharacteristic
1646C2×C22⋊C4C2411yescharacteristic
1647C2×C22⋊C4C2411yescharacteristic
1648C2×C22⋊C4C2412yes—
1649C2×C22⋊C4C2412yes—
1650C2×C22⋊C4C2412yes—
1651C2×C22⋊C4C2411yescharacteristic
1652C2×C22⋊C4C2411yescharacteristic
1653C2×C22⋊C4C2411yescharacteristic
1654C2×C22⋊C4C2412yes—
1655C2×C22⋊C4C2411yescharacteristic
1656C2×C22⋊C4C2412yes—
1657C2×C22⋊C4C2412yes—
1658C2×C22⋊C4C2412yes—
1659C2×C22⋊C4C2412yes—
1660C2×C22⋊C4C2412yes—
1661C2×C22⋊C4C2412yes—
1662C2×C22⋊C4C2412yes—
1663C2×C22⋊C4C2412yes—
1664C2×C22⋊C4C2412yes—
1665C2×C22⋊C4C2412yes—
1666C2×C22⋊C4C2412yes—
1667C2×C22⋊C4C2412yes—
1668C2×C22⋊C4C2412yes—
1669C2×C22⋊C4C2411yescharacteristic
1670C2×C22⋊C4C2412yes—
1671C2×C22⋊C4C2411yescharacteristic
1672C2×C22⋊C4C2412yes—
1673C2×C22⋊C4C2412yes—
1674C2×C22⋊C4C2412yes—
1675C2×C22⋊C4C2412yes—
1676C2×C22⋊C4C2412yes—
1677C2×C22⋊C4C2412yes—
1678C2×C22⋊C4C2412yes—
1679C2×C22⋊C4C2412yes—
1680C2×C22⋊C4C2412yes—
1681C2×C22⋊C4C2412yes—
1682C2×C22⋊C4C2412yes—
1683C2×C22⋊C4C2412yes—
1684C2×C22⋊C4C2412yes—
1685C2×C22⋊C4C2412yes—
1686C2×C22⋊C4C2412yes—
1687C2×C22⋊C4C2412yes—
1688C2×C22⋊C4C2412yes—
1689C2×C22⋊C4C2412yes—
1690C2×C22⋊C4C2412yes—
1691C2×C22⋊C4C2412yes—
1692C2×C22⋊C4C2412yes—
1693C2×C22⋊C4C2411yescharacteristic
1694C2×C22⋊C4C2411yescharacteristic
1695C2×C22⋊C4C2411yescharacteristic
1696C2×C22⋊C4C2411yescharacteristic
1697C2×C22⋊C4C2412yes—
1698C2×C22⋊C4C2412yes—
1699C2×C22⋊C4C2412yes—
1700C2×C22⋊C4C2412yes—
1701C2×C22⋊C4C2412yes—
1702C2×C22⋊C4C2412yes—
1703C2×C22⋊C4C2412yes—
1704C2×C22⋊C4C2411yescharacteristic
1705C2×C22⋊C4C2412yes—
1706C2×C22⋊C4C2412yes—
1707C2×C22⋊C4C2411yescharacteristic
1708C2×C22⋊C4C2411yescharacteristic
1709C2×C22⋊C4C2412yes—
1710C2×C22⋊C4C2411yescharacteristic
1711C2×C22⋊C4C2412yes—
1712C2×C22⋊C4C2411yescharacteristic
1713C2×C22⋊C4C2412yes—
1714C2×C22⋊C4C2411yescharacteristic
1715C2×C22⋊C4C2412yes—
1716C2×C22⋊C4C2411yescharacteristic
1717C2×C22⋊C4C2411yescharacteristic
1718C2×C22⋊C4C2412yes—
1719C2×C22⋊C4C2412yes—
1720C2×C22⋊C4C2411yescharacteristic
1721C2×C22⋊C4C2412yes—
1722C2×C22⋊C4C2412yes—
1723C2×C42—28no—
1724C2×C42—24no—
1725C2×C42—44no—
1726C2×C42—44no—
1727C2×C42—42no—
1728C2×C42—42no—
1729C2×C42—42no—
1730C2×C42—44no—
1731C2×C42—44no—
1732C2×C42C2412yes—
1733C2×C42C2411yescharacteristic
1734C2×C42C2411yescharacteristic
1735C2×C42C2412yes—
1736C2×C42C2412yes—
1737C2×C42C2411yescharacteristic
1738C2×C42C2411yescharacteristic
1739C2×C42C2411yescharacteristic
1740C2×C42C2411yescharacteristic
1741C2×C42C2411yescharacteristic
1742C2×C42C2412yes—
1743C2×C42C2411yescharacteristic
1744C2×C42C2412yes—
1745C2×C42C2412yes—
1746C2×C42C2411yescharacteristic
1747C2×C42C2411yescharacteristic
1748C2×C42C2411yescharacteristic
1749C2×C42C2411yescharacteristic
1750C2×C42C2411yescharacteristic
1751C2×C42C2411yescharacteristic
1752C2×C42C2412yes—
1753C2×C42C2412yes—
1754C2×C42C2412yes—
1755C2×C42C2412yes—
1756C2×C42C2412yes—
1757C2×C42C2412yes—
1758C2×C42C2412yes—
1759C2×C42C2412yes—
1760C2×C42C2412yes—
1761C2×C42C2412yes—
1762C2×C42C2412yes—
1763C2×C42C2412yes—
1764C2×C42C2412yes—
1765C2×C42C2412yes—
1766C2×C42C2412yes—
1767C2×C42C2411yescharacteristic
1768C2×C42C2412yes—
1769C2×C42C2412yes—
1770C2×C42C2412yes—
1771C2×C42C2411yescharacteristic
1772C2×C42C2411yescharacteristic
1773C2×C42C2412yes—
1774C2×C42C2411yescharacteristic
1775C2×C42C2411yescharacteristic
1776C2×C42C2411yescharacteristic
1777C2×C42C2411yescharacteristic
1778C2×C42C2411yescharacteristic
1779C2×C42C2411yescharacteristic
1780#95C2411yescharacteristic
1781#95C2411yescharacteristic
1782#95C2412yes—
1783#95C2412yes—
1784#95C2412yes—
1785#95C2412yes—
1786#95C2412yes—
1787#95C2412yes—
1788#95C2412yes—
1789#95C2412yes—
1790#95C2412yes—
1791#95C2411yescharacteristic
1792#95C2411yescharacteristic
1793#95C2411yescharacteristic
1794#95C2411yescharacteristic
1795#95C2412yes—
1796#95C2412yes—
1797#95C2412yes—
1798#95C2412yes—
1799#95C2412yes—
1800#95C2411yescharacteristic
1801#95C2412yes—
1802#95C2412yes—
1803#95C2412yes—
1804#95C2412yes—
1805#95C2411yescharacteristic
1806#95C2411yescharacteristic
1807#95C2412yes—
1808#95C2412yes—
1809#95C2412yes—
1810#95C2412yes—
1811#95C2412yes—
1812#95C2411yescharacteristic
1813#95C2412yes—
1814#95C2412yes—
1815#95C2412yes—
1816#95C2411yescharacteristic
1817#95C2411yescharacteristic
1818#95C2411yescharacteristic
1819#95C2411yescharacteristic
1820#95C2411yescharacteristic
1821#95C2411yescharacteristic
1822#95C2411yescharacteristic
1823#95C2412yes—
1824#95C2412yes—
1825#95C2411yescharacteristic
1826#95C2412yes—
1827#95C2411yescharacteristic
1828#95C2411yescharacteristic
1829#95C2411yescharacteristic
1830#95C2411yescharacteristic
1831#95C2412yes—
1832#95C2412yes—
1833#95C2411yescharacteristic
1834#95C2412yes—
1835#95C2411yescharacteristic
1836#95C2411yescharacteristic
1837#95C2411yescharacteristic
1838#95C2411yescharacteristic
1839#95C2412yes—
1840#95C2411yescharacteristic
1841#95C2411yescharacteristic
1842#95C2412yes—
1843#95C2412yes—
1844#95C2412yes—
1845#95C2412yes—
1846#95C2412yes—
1847#95C2412yes—
1848#95C2412yes—
1849#95C2412yes—
1850#95C2412yes—
1851#95C2411yescharacteristic
1852#95C2412yes—
1853#95C2412yes—
1854#95C2411yescharacteristic
1855#95C2411yescharacteristic
1856#95C2411yescharacteristic
1857#95C2412yes—
1858#95C2411yescharacteristic
1859#95C2412yes—
1860#95C2412yes—
1861#95C2411yescharacteristic
1862#95C2411yescharacteristic
1863#95C2412yes—
1864#95C2411yescharacteristic
1865#95C2411yescharacteristic
1866#95C2411yescharacteristic
1867#95C2411yescharacteristic
1868#95C2412yes—
1869#95C2412yes—
1870#95C2412yes—
1871#95C2411yescharacteristic
1872#95C2411yescharacteristic
1873#95C2412yes—
1874#95C2411yescharacteristic
1875#95C2412yes—
1876#95C2411yescharacteristic
1877#95C2411yescharacteristic
1878#95C2411yescharacteristic
1879#95C2411yescharacteristic
1880#95C2411yescharacteristic
1881#95C2412yes—
1882#95C2412yes—
1883#95C2412yes—
1884#95C2412yes—
1885#95C2412yes—
1886#95C2412yes—
1887C24C2512yes—
1888C24C2512yes—
1889C24C2512yes—
1890C24C2511yescharacteristic
1891C24C2511yescharacteristic
1892C24C2511yescharacteristic
1893C24C2511yescharacteristic
1894#41—432no—
1895#41—816no—
1896#41—816no—
1897C2×Q8—24no—
1898C2×Q8—24no—
1899C2×Q8—24no—
1900C2×Q8—24no—
1901C2×Q8—42no—
1902C2×Q8—42no—
1903C2×Q8—42no—
1904C2×Q8—42no—
1905C2×Q8—42no—
1906C2×D4—22no—
1907C2×D4—22no—
1908C2×D4—22no—
1909C2×D4—22no—
1910C2×D4—24no—
1911C2×D4—24no—
1912C2×D4—24no—
1913C2×D4—24no—
1914C2×D4—24no—
1915C2×D4—22no—
1916C2×D4—22no—
1917C2×D4—24no—
1918C2×D4—24no—
1919C2×D4—24no—
1920C2×D4—24no—
1921C2×D4—22no—
1922C2×D4—22no—
1923C2×D4—22no—
1924C2×D4—22no—
1925C2×D4—24no—
1926C2×D4—24no—
1927C2×D4—24no—
1928C2×D4—22no—
1929C2×D4—24no—
1930C2×D4—22no—
1931C2×D4—22no—
1932C2×D4—22no—
1933C2×D4—22no—
1934C2×D4—22no—
1935C2×D4—22no—
1936C2×D4—24no—
1937C2×D4—24no—
1938C2×D4—24no—
1939C2×D4—24no—
1940C2×D4—24no—
1941C2×D4—24no—
1942C2×D4—24no—
1943C2×D4—24no—
1944C2×D4—22no—
1945C2×D4—24no—
1946C2×D4—22no—
1947C2×D4—22no—
1948C2×D4—22no—
1949C2×D4—22no—
1950C2×D4—24no—
1951C2×D4—42no—
1952C2×D4—41no—
1953C2×D4—41no—
1954C2×D4—42no—
1955C2×D4—41no—
1956C2×D4—41no—
1957C2×D4—42no—
1958C2×D4—42no—
1959C2×D4—42no—
1960C2×D4—42no—
1961C2×D4—42no—
1962C2×D4—42no—
1963C2×D4—42no—
1964C2×D4—42no—
1965C2×D4—42no—
1966C2×D4—42no—
1967C2×D4—42no—
1968C2×D4—42no—
1969C2×D4—42no—
1970C2×D4—42no—
1971C2×D4—42no—
1972C2×D4—42no—
1973C2×D4—42no—
1974C2×D4—42no—
1975C2×D4—42no—
1976C2×D4—42no—
1977C2×D4—42no—
1978C2×D4—42no—
1979C2×D4—42no—
1980C2×D4—42no—
1981C2×D4—42no—
1982C2×D4—42no—
1983C2×D4—42no—
1984C2×D4—42no—
1985C2×D4—42no—
1986C2×D4H(5,𝔽2)14yes—
1987C22×C4—24no—
1988C22×C4—24no—
1989C22×C4—22no—
1990C22×C4—22no—
1991C22×C4—24no—
1992C22×C4—22no—
1993C22×C4—22no—
1994C22×C4—24no—
1995C22×C4—22no—
1996C22×C4—24no—
1997C22×C4—24no—
1998C22×C4—22no—
1999C22×C4—22no—
2000C22×C4—22no—
2001C22×C4—22no—
2002C22×C4—22no—
2003C22×C4—24no—
2004C22×C4—24no—
2005C22×C4—22no—
2006C22×C4—22no—
2007C22×C4—22no—
2008C22×C4—22no—
2009C22×C4—24no—
2010C22×C4—22no—
2011C22×C4—22no—
2012C22×C4—24no—
2013C22×C4—22no—
2014C22×C4—24no—
2015C22×C4—22no—
2016C22×C4—22no—
2017C22×C4—22no—
2018C22×C4—22no—
2019C22×C4—24no—
2020C22×C4—24no—
2021C22×C4—24no—
2022C22×C4—24no—
2023C22×C4—24no—
2024C22×C4—24no—
2025C22×C4—24no—
2026C22×C4—24no—
2027C22×C4—24no—
2028C22×C4—42no—
2029C22×C4—42no—
2030C22×C4—41no—
2031C22×C4—41no—
2032C22×C4—41no—
2033C22×C4—42no—
2034C22×C4—41no—
2035C22×C4—41no—
2036C22×C4—41no—
2037C22×C4—42no—
2038C22×C4—41no—
2039C22×C4—42no—
2040C22×C4—42no—
2041C22×C4—41no—
2042C22×C4—41no—
2043C22×C4—41no—
2044C22×C4—41no—
2045C22×C4—42no—
2046C22×C4—42no—
2047C22×C4—42no—
2048C22×C4—42no—
2049C22×C4—42no—
2050C22×C4—42no—
2051C22×C4—42no—
2052C22×C4—42no—
2053C22×C4—42no—
2054C22×C4—42no—
2055C22×C4—42no—
2056C22×C4—42no—
2057C22×C4—42no—
2058C22×C4—42no—
2059C22×C4—42no—
2060C22×C4—42no—
2061C22×C4—41no—
2062C22×C4—42no—
2063C22×C4—42no—
2064C22×C4—41no—
2065C22×C4—42no—
2066C22×C4—42no—
2067C22×C4—42no—
2068C22×C4—42no—
2069C22×C4—42no—
2070C22×C4—42no—
2071C22×C4C2×#4114yes—
2072C22×C4C2×#4118yes—
2073C22×C4H(5,𝔽2)14yes—
2074C22×C4C2511yescharacteristic
2075C22×C4C2511yescharacteristic
2076C22×C4C2511yescharacteristic
2077C22×C4C2512yes—
2078C22×C4C2511yescharacteristic
2079C22×C4C2511yescharacteristic
2080C22×C4C2511yescharacteristic
2081C22×C4C2511yescharacteristic
2082C22×C4C2511yescharacteristic
2083C22×C4C2511yescharacteristic
2084C22×C4C2511yescharacteristic
2085C22×C4C2512yes—
2086C22×C4C2511yescharacteristic
2087C22×C4C2511yescharacteristic
2088C22×C4C2511yescharacteristic
2089C22×C4C2511yescharacteristic
2090C22×C4C2511yescharacteristic
2091C22×C4C2511yescharacteristic
2092C22×C4C2512yes—
2093C22×C4C2511yescharacteristic
2094C22×C4C2512yes—
2095C22×C4C2512yes—
2096C22×C4C2511yescharacteristic
2097C22×C4C2511yescharacteristic
2098C22×C4C2512yes—
2099C22×C4C2512yes—
2100C22×C4C2512yes—
2101C22×C4C2512yes—
2102C22×C4C2512yes—
2103C22×C4C2511yescharacteristic
2104C22×C4C2512yes—
2105C22×C4C2512yes—
2106C22×C4C2512yes—
2107C22×C4C2511yescharacteristic
2108C22×C4C2511yescharacteristic
2109C22×C4C2511yescharacteristic
2110C22×C4C2511yescharacteristic
2111C22×C4C2511yescharacteristic
2112C22×C4C2511yescharacteristic
2113C22×C4C2511yescharacteristic
2114C4⋊C4—22no—
2115C4⋊C4—22no—
2116C4⋊C4—22no—
2117C4⋊C4—22no—
2118C4⋊C4—24no—
2119C4⋊C4—24no—
2120C4⋊C4—24no—
2121C4⋊C4—24no—
2122C4⋊C4—24no—
2123C4⋊C4—24no—
2124C4⋊C4—24no—
2125C4⋊C4—24no—
2126C4⋊C4—24no—
2127C4⋊C4—24no—
2128C4⋊C4—24no—
2129C4⋊C4—24no—
2130C4⋊C4—22no—
2131C4⋊C4—22no—
2132C4⋊C4—22no—
2133C4⋊C4—22no—
2134C4⋊C4—22no—
2135C4⋊C4—22no—
2136C4⋊C4—22no—
2137C4⋊C4—22no—
2138C4⋊C4—24no—
2139C4⋊C4—24no—
2140C4⋊C4—24no—
2141C4⋊C4—22no—
2142C4⋊C4—22no—
2143C4⋊C4—22no—
2144C4⋊C4—22no—
2145C4⋊C4—22no—
2146C4⋊C4—24no—
2147C4⋊C4—24no—
2148C4⋊C4—22no—
2149C4⋊C4—22no—
2150C4⋊C4—22no—
2151C4⋊C4—22no—
2152C4⋊C4—24no—
2153C4⋊C4—24no—
2154C4⋊C4—22no—
2155C4⋊C4—24no—
2156C4⋊C4—22no—
2157C4⋊C4—22no—
2158C4⋊C4—22no—
2159C4⋊C4—24no—
2160C4⋊C4—22no—
2161C4⋊C4—22no—
2162C4⋊C4—22no—
2163C4⋊C4—42no—
2164C4⋊C4—41no—
2165C4⋊C4—42no—
2166C4⋊C4—42no—
2167C4⋊C4—41no—
2168C4⋊C4—42no—
2169C4⋊C4—42no—
2170C4⋊C4—42no—
2171C4⋊C4—42no—
2172C4⋊C4—41no—
2173C4⋊C4—41no—
2174C4⋊C4—41no—
2175C4⋊C4—41no—
2176C4⋊C4—41no—
2177C4⋊C4—41no—
2178C4⋊C4—42no—
2179C4⋊C4—42no—
2180C4⋊C4—42no—
2181C4⋊C4—42no—
2182C4⋊C4—42no—
2183C4⋊C4—41no—
2184C4⋊C4—41no—
2185C4⋊C4—42no—
2186C4⋊C4—42no—
2187C4⋊C4—42no—
2188C4⋊C4—42no—
2189C4⋊C4—42no—
2190C4⋊C4—42no—
2191C4⋊C4—42no—
2192C4⋊C4—42no—
2193C4⋊C4—42no—
2194C4⋊C4—42no—
2195C4⋊C4—42no—
2196C4⋊C4—42no—
2197C4⋊C4—41no—
2198C4⋊C4—42no—
2199C4⋊C4C2×#4114yes—
2200C4⋊C4C2×#4114yes—
2201C4⋊C4C2×#4114yes—
2202C4⋊C4C2×#4118yes—
2203C4⋊C4C2×#4118yes—
2204C4⋊C4C2×#4114yes—
2205C4⋊C4C2×#4118yes—
2206C22⋊C4—22no—
2207C22⋊C4—22no—
2208C22⋊C4—22no—
2209C22⋊C4—22no—
2210C22⋊C4—24no—
2211C22⋊C4—22no—
2212C22⋊C4—22no—
2213C22⋊C4—22no—
2214C22⋊C4—22no—
2215C22⋊C4—24no—
2216C22⋊C4—24no—
2217C22⋊C4—22no—
2218C22⋊C4—22no—
2219C22⋊C4—24no—
2220C22⋊C4—22no—
2221C22⋊C4—24no—
2222C22⋊C4—24no—
2223C22⋊C4—24no—
2224C22⋊C4—24no—
2225C22⋊C4—22no—
2226C22⋊C4—22no—
2227C22⋊C4—22no—
2228C22⋊C4—24no—
2229C22⋊C4—24no—
2230C22⋊C4—24no—
2231C22⋊C4—22no—
2232C22⋊C4—24no—
2233C22⋊C4—24no—
2234C22⋊C4—24no—
2235C22⋊C4—24no—
2236C22⋊C4—24no—
2237C22⋊C4—24no—
2238C22⋊C4—24no—
2239C22⋊C4—24no—
2240C22⋊C4—24no—
2241C22⋊C4—22no—
2242C22⋊C4—24no—
2243C22⋊C4—24no—
2244C22⋊C4—24no—
2245C22⋊C4—22no—
2246C22⋊C4—22no—
2247C22⋊C4—22no—
2248C22⋊C4—22no—
2249C22⋊C4—24no—
2250C22⋊C4—24no—
2251C22⋊C4—22no—
2252C22⋊C4—24no—
2253C22⋊C4—42no—
2254C22⋊C4—41no—
2255C22⋊C4—42no—
2256C22⋊C4—42no—
2257C22⋊C4—41no—
2258C22⋊C4—42no—
2259C22⋊C4—42no—
2260C22⋊C4—41no—
2261C22⋊C4—41no—
2262C22⋊C4—41no—
2263C22⋊C4—41no—
2264C22⋊C4—42no—
2265C22⋊C4—42no—
2266C22⋊C4—42no—
2267C22⋊C4—42no—
2268C22⋊C4—42no—
2269C22⋊C4—42no—
2270C22⋊C4—42no—
2271C22⋊C4—42no—
2272C22⋊C4—41no—
2273C22⋊C4—41no—
2274C22⋊C4—41no—
2275C22⋊C4—41no—
2276C22⋊C4—42no—
2277C22⋊C4—42no—
2278C22⋊C4—42no—
2279C22⋊C4—42no—
2280C22⋊C4—42no—
2281C22⋊C4—42no—
2282C22⋊C4—42no—
2283C22⋊C4—42no—
2284C22⋊C4—42no—
2285C22⋊C4—42no—
2286C22⋊C4—42no—
2287C22⋊C4—42no—
2288C22⋊C4—42no—
2289C22⋊C4—42no—
2290C22⋊C4—42no—
2291C22⋊C4—42no—
2292C22⋊C4—42no—
2293C22⋊C4—42no—
2294C22⋊C4—42no—
2295C22⋊C4—42no—
2296C22⋊C4—42no—
2297C22⋊C4—42no—
2298C22⋊C4—42no—
2299C22⋊C4—42no—
2300C22⋊C4—42no—
2301C22⋊C4—41no—
2302C22⋊C4—42no—
2303C22⋊C4—41no—
2304C22⋊C4—42no—
2305C22⋊C4—41no—
2306C22⋊C4—42no—
2307C22⋊C4—41no—
2308C22⋊C4—42no—
2309C22⋊C4—42no—
2310C22⋊C4—41no—
2311C42—22no—
2312C42—22no—
2313C42—22no—
2314C42—22no—
2315C42—24no—
2316C42—22no—
2317C42—22no—
2318C42—22no—
2319C42—24no—
2320C42—24no—
2321C42—24no—
2322C42—24no—
2323C42—22no—
2324C42—24no—
2325C42—22no—
2326C42—22no—
2327C42—22no—
2328C42—22no—
2329C42—22no—
2330C42—22no—
2331C42—41no—
2332C42—41no—
2333C42—41no—
2334C42—41no—
2335C42—41no—
2336C42—41no—
2337C42—42no—
2338C42—42no—
2339C42—42no—
2340C42—42no—
2341C42—42no—
2342C42—42no—
2343C42—42no—
2344C42—42no—
2345C42—42no—
2346C42—42no—
2347C42—42no—
2348C42—42no—
2349C42—41no—
2350C42—42no—
2351C42—42no—
2352C42—42no—
2353C42—42no—
2354C42—42no—
2355C42—42no—
2356C42—42no—
2357C42—41no—
2358C42C2×#4114yes—
2359C23—21no—
2360C23—21no—
2361C23—21no—
2362C23—21no—
2363C23—21no—
2364C23—21no—
2365C23—21no—
2366C23—21no—
2367C23—21no—
2368C23—21no—
2369C23—22no—
2370C23—21no—
2371C23—22no—
2372C23—22no—
2373C23—22no—
2374C23—22no—
2375C23—22no—
2376C23—21no—
2377C23—21no—
2378C23—21no—
2379C23—22no—
2380C23—22no—
2381C23—22no—
2382C23—22no—
2383C23—22no—
2384C23—21no—
2385C23—21no—
2386C23—21no—
2387C23—21no—
2388C23—22no—
2389C23—21no—
2390C23—22no—
2391C23—21no—
2392C23—21no—
2393C23—21no—
2394C23—22no—
2395C23—22no—
2396C23—22no—
2397C23—22no—
2398C23—22no—
2399C23—21no—
2400C23—22no—
2401C23—21no—
2402C23—22no—
2403C23—22no—
2404C23C22×#4112yes—
2405C23C2×H(5,𝔽2)12yes—
2406C23C2×H(5,𝔽2)12yes—
2407C23C2×H(5,𝔽2)12yes—
2408C23C2611yescharacteristic
2409Q8—48no—
2410Q8—84no—
2411Q8—84no—
2412D4—28no—
2413D4—48no—
2414D4—44no—
2415D4—44no—
2416D4—48no—
2417D4—44no—
2418D4—48no—
2419D4—48no—
2420D4—48no—
2421D4—44no—
2422D4—44no—
2423D4—44no—
2424D4—44no—
2425D4—44no—
2426D4—84no—
2427D4—84no—
2428D4—84no—
2429D4—84no—
2430D4—84no—
2431D4—84no—
2432D4—84no—
2433D4—84no—
2434D4—84no—
2435D4—84no—
2436D4—84no—
2437D4—162no—
2438D4—162no—
2439C2×C4—21no—
2440C2×C4—21no—
2441C2×C4—22no—
2442C2×C4—22no—
2443C2×C4—22no—
2444C2×C4—21no—
2445C2×C4—21no—
2446C2×C4—21no—
2447C2×C4—22no—
2448C2×C4—22no—
2449C2×C4—22no—
2450C2×C4—21no—
2451C2×C4—21no—
2452C2×C4—21no—
2453C2×C4—21no—
2454C2×C4—21no—
2455C2×C4—22no—
2456C2×C4—21no—
2457C2×C4—21no—
2458C2×C4—22no—
2459C2×C4—21no—
2460C2×C4—21no—
2461C2×C4—216no—
2462C2×C4—28no—
2463C2×C4—21no—
2464C2×C4—21no—
2465C2×C4—21no—
2466C2×C4—21no—
2467C2×C4—21no—
2468C2×C4—21no—
2469C2×C4—21no—
2470C2×C4—21no—
2471C2×C4—22no—
2472C2×C4—21no—
2473C2×C4—21no—
2474C2×C4—21no—
2475C2×C4—21no—
2476C2×C4—21no—
2477C2×C4—21no—
2478C2×C4—21no—
2479C2×C4—22no—
2480C2×C4—22no—
2481C2×C4—22no—
2482C2×C4—22no—
2483C2×C4—22no—
2484C2×C4—22no—
2485C2×C4—21no—
2486C2×C4—22no—
2487C2×C4—21no—
2488C2×C4—22no—
2489C2×C4—21no—
2490C2×C4—21no—
2491C2×C4—21no—
2492C2×C4—21no—
2493C2×C4—22no—
2494C2×C4—22no—
2495C2×C4—22no—
2496C2×C4—21no—
2497C2×C4—21no—
2498C2×C4—22no—
2499C2×C4—22no—
2500C2×C4—22no—
2501C2×C4—22no—
2502C2×C4—22no—
2503C2×C4—21no—
2504C2×C4—21no—
2505C2×C4—21no—
2506C2×C4—21no—
2507C2×C4—21no—
2508C2×C4—21no—
2509C2×C4—22no—
2510C2×C4—21no—
2511C2×C4—21no—
2512C2×C4—21no—
2513C2×C4—21no—
2514C2×C4—21no—
2515C2×C4—21no—
2516C2×C4—21no—
2517C2×C4—21no—
2518C2×C4—21no—
2519C2×C4—21no—
2520C2×C4—21no—
2521C2×C4—21no—
2522C2×C4—22no—
2523C2×C4—21no—
2524C2×C4—22no—
2525C2×C4—21no—
2526C2×C4—22no—
2527C2×C4—22no—
2528C2×C4—21no—
2529C2×C4—21no—
2530C2×C4—22no—
2531C2×C4—21no—
2532C2×C4—21no—
2533C2×C4—22no—
2534C2×C4—22no—
2535C2×C4—21no—
2536C2×C4—21no—
2537C2×C4—21no—
2538C2×C4—21no—
2539C2×C4—22no—
2540C2×C4—21no—
2541C2×C4—22no—
2542C2×C4—21no—
2543C2×C4—21no—
2544C2×C4—21no—
2545C2×C4—21no—
2546C2×C4—21no—
2547C2×C4—44no—
2548C2×C4—48no—
2549C2×C4—48no—
2550C2×C4—44no—
2551C2×C4—44no—
2552C2×C4—48no—
2553C2×C4—44no—
2554C2×C4—48no—
2555C2×C4—44no—
2556C2×C4—44no—
2557C2×C4—44no—
2558C2×C4—44no—
2559C2×C4—84no—
2560C2×C4—84no—
2561C2×C4—84no—
2562C2×C4—84no—
2563C2×C4—84no—
2564C2×C4—84no—
2565C2×C4—84no—
2566C2×C4—84no—
2567C2×C4—84no—
2568C2×C4—82no—
2569C2×C4—82no—
2570C2×C4—84no—
2571C2×C4—82no—
2572C2×C4—162no—
2573C2×C4—162no—
2574C2×C4C22×#4112yes—
2575C2×C4C22×#4112yes—
2576C2×C4C22×#4114yes—
2577C2×C4C22×#4112yes—
2578C2×C4C22×#4114yes—
2579C2×C4C22×#4114yes—
2580C2×C4C22×#4114yes—
2581C2×C4C22×#4112yes—
2582C2×C4C22×#4112yes—
2583C2×C4C2×H(5,𝔽2)12yes—
2584C2×C4C2×H(5,𝔽2)12yes—
2585C2×C4C2×H(5,𝔽2)12yes—
2586C2×C4#58512yes—
2587C2×C4#58512yes—
2588C22—22no—
2589C22—22no—
2590C22—22no—
2591C22—22no—
2592C22—22no—
2593C22—22no—
2594C22—22no—
2595C22—22no—
2596C22—22no—
2597C22—41no—
2598C22—41no—
2599C22—41no—
2600C22—41no—
2601C22—42no—
2602C22—42no—
2603C22—41no—
2604C22—41no—
2605C22—42no—
2606C22—42no—
2607C22—42no—
2608C22—42no—
2609C22—41no—
2610C22—41no—
2611C22—42no—
2612C22—41no—
2613C22—42no—
2614C22—41no—
2615C22—42no—
2616C22—42no—
2617C22—41no—
2618C22—41no—
2619C22—42no—
2620C22—42no—
2621C22—42no—
2622C22—42no—
2623C22—41no—
2624C22—42no—
2625C22—41no—
2626C22—42no—
2627C22—42no—
2628C22—41no—
2629C22—41no—
2630C22—42no—
2631C22—41no—
2632C22—41no—
2633C22—42no—
2634C22—42no—
2635C22—42no—
2636C22#351914yes—
2637C22C23×#4111yescharacteristic
2638C22C23×#4111yescharacteristic
2639C22C22×H(5,𝔽2)11yescharacteristic
2640C22C22×H(5,𝔽2)11yescharacteristic
2641C22C2×#58511yescharacteristic
2642C22C2×#58511yescharacteristic
2643C222−1+611yescharacteristic
2644C4—24no—
2645C4—22no—
2646C4—22no—
2647C4—24no—
2648C4—24no—
2649C4—22no—
2650C4—24no—
2651C4—22no—
2652C4—22no—
2653C4—22no—
2654C4—22no—
2655C4—41no—
2656C4—42no—
2657C4—41no—
2658C4—41no—
2659C4—41no—
2660C4—41no—
2661C4—41no—
2662C4—41no—
2663C4—42no—
2664C4—41no—
2665C4—42no—
2666C4—41no—
2667C4—42no—
2668C4—41no—
2669C4—41no—
2670C4—42no—
2671C4—42no—
2672C4—41no—
2673C4—42no—
2674C4—41no—
2675C4—42no—
2676C4—41no—
2677C4—42no—
2678C4—41no—
2679C4—41no—
2680C4—41no—
2681C4—41no—
2682C4—41no—
2683C4#348014yes—
2684C2—24no—
2685C2—42no—
2686C2—82no—
2687C2—82no—
2688C2—81no—
2689C2—81no—
2690C2—82no—
2691C2C2×#348011yescharacteristic
2692C2C2×#351911yescharacteristic
2693C2#6280011yescharacteristic
2694C2#6290111yescharacteristic
2695C2#6298511yescharacteristic
2696C2#6300711yescharacteristic
2697C2#6301811yescharacteristic
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. #59854C2semidirect
2. #59775C2semidirect
3. #59737C2semidirect
4. #59713C2semidirect
5. #59677C2semidirect
6. #59633C2semidirect
7. #59141C2semidirect
8. #59141C2semidirect
9. #59139C2semidirect
10. #59110C2semidirect
11. #45048C2semidirect
12. #45044C2semidirect
13. #45039C2semidirect
14. #45036C2semidirect
15. #44080C2semidirect
16. #44076C2semidirect
17. #44071C2semidirect
18. #44067C2semidirect
19. #39317C2semidirect
20. #39309C2semidirect
21. #39295C2semidirect
22. #39275C2semidirect
23. #38488C2semidirect
24. #38487C2semidirect
25. #38123C2semidirect
26. #37706C2semidirect
27. #36604C2semidirect
28. #36596C2semidirect
29. #36495C2semidirect
30. #36488C2semidirect
31. #36263C2semidirect
32. #36225C2semidirect
33. #36126C2semidirect
34. #36126C2semidirect
35. #36126C2semidirect
36. #35882C2semidirect
37. #35865C2semidirect
38. #35725C2semidirect
39. #35699C2semidirect
40. #34937C2semidirect
41. #34856C2semidirect
42. #34305C2semidirect
43. #34298C2semidirect
44. #34298C2semidirect
45. #34287C2semidirect
46. C4×#547C2semidirect
47. C2×#2370C2semidirect
1400. #125#41semidirect

Maximal subgroups

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

subgroupindex
#598542
#597752
#597372
#597132
#596772
#596332
#591412
#591392
#591102
#450482
#450442
#450392
#450362
#440802
#440762
#440712
#440672
#393172
#393092
#392952
#392752
#384882
#384872
#381232
#377062
#366042
#365962
#364952
#364882
#362632
#362252
#361262
#358822
#358652
#357252
#356992
#349372
#348562
#343052
#342982
#342872
C4×#5472
C2×#23702