Finite Group Databasebeta

← Group #11788631

Character table — Group #11788631

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order1222223344446666662234466666661212121212121212121212126666666666121212121212121212128888224466668888121212122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ5111111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ6111111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ7111111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-11111
χ8111111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-11111
χ91-11-11-11111-1-1-1-1-111-11-111-11-11-1-1-11111-1-1-111-1-11-11-11-11-111-1-111-1-11-111-1-1ii−i−i1-1i−i11-1-11-1i−iii−i−i11-1-1ii−i−ii−iii−i−i
χ101-11-11-11111-1-1-1-1-111-11-111-11-11-1-1-11111-1-1-111-1-11-11-11-11-111-1-111-1-11-111-1-1ii−i−i-11−ii-1-111-11−ii−i−iii-1-111−i−iiii−iii−i−i
χ111-11-11-11111-1-1-1-1-111-11-111-11-11-1-1-11111-1-1-111-1-11-11-11-11-111-1-111-1-11-111-1-1−i−iii1-1−ii11-1-11-1−ii−i−iii11-1-1−i−iii−ii−i−iii
χ121-11-11-11111-1-1-1-1-111-11-111-11-11-1-1-11111-1-1-111-1-11-11-11-11-111-1-111-1-11-111-1-1−i−iii-11i−i-1-111-11i−iii−i−i-1-111ii−i−i−ii−i−iii
χ131-11-11-11111-1-1-1-1-111-1-111-111-11-1-1-11111-1-1-111-1-11-1-11-111-1-1-111-1-1111-1-1-111ii−i−i1-1i−i11-1-1-11−iiii−i−i-1-111−i−iiii−i−i−iii
χ141-11-11-11111-1-1-1-1-111-1-111-111-11-1-1-11111-1-1-111-1-11-1-11-111-1-1-111-1-1111-1-1-111ii−i−i-11−ii-1-1111-1i−i−i−iii11-1-1ii−i−ii−i−i−iii
χ151-11-11-11111-1-1-1-1-111-1-111-111-11-1-1-11111-1-1-111-1-11-1-11-111-1-1-111-1-1111-1-1-111−i−iii1-1−ii11-1-1-11i−i−i−iii-1-111ii−i−i−iiii−i−i
χ161-11-11-11111-1-1-1-1-111-1-111-111-11-1-1-11111-1-1-111-1-11-1-11-111-1-1-111-1-1111-1-1-111−i−iii-11i−i-1-1111-1−iiii−i−i11-1-1−i−iii−iiii−i−i
χ1722222222-2-2-2-2222222002002222222-2-2-2-2-2-2-2-2-2-2-2-200002200000000-2-200000000000000000000000000000000002i−2i2i−2i
χ1822222222-2-2-2-2222222002002222222-2-2-2-2-2-2-2-2-2-2-2-200002200000000-2-20000000000000000000000000000000000−2i2i−2i2i
χ192222222-122222-1-12-1222-12222-1-1-1-1-122-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-100002200-1-1-1-122000000-1-1-1-10000000000
χ202222222-122222-1-12-1222-12222-1-1-1-1-122-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-10000-2-2001111-2-200000011110000000000
χ212222222-122222-1-12-12-2-2-1-2-222-1-1-1-1-122-12-1-1-1-1-1-1-12-2-211-1-11111-21-21-1-1111100002200-1-1-1-1-2-200000011110000000000
χ222222222-122222-1-12-12-2-2-1-2-222-1-1-1-1-122-12-1-1-1-1-1-1-12-2-211-1-11111-21-21-1-111110000-2-200111122000000-1-1-1-10000000000
χ23222222-122222-122-12-122-122-1-122-1-1-1-1-12-122-1-1-1-12-1-1-122-1-1-1-1-1-1-12-12-1-1-1-1-1-10000002200000022-1-1-1-10000-1-1-1-1000000
χ24222222-122222-122-12-122-122-1-122-1-1-1-1-12-122-1-1-1-12-1-1-122-1-1-1-1-1-1-12-12-1-1-1-1-1-1000000-2-2000000-2-2111100001111000000
χ25222222-122222-122-12-1-2-2-1-2-2-1-122-1-1-1-1-12-122-1-1-1-12-111-2-2-1-111111-21-2-1-1111100000022000000-2-2-1-1-1-100001111000000
χ26222222-122222-122-12-1-2-2-1-2-2-1-122-1-1-1-1-12-122-1-1-1-12-111-2-2-1-111111-21-2-1-11111000000-2-20000002211110000-1-1-1-1000000
χ272222-2-2222-2-2222222200200-2-2-2-22222-2222-22222-2-20000-2-200000000-2-200002222000000000000000000000000-2-20000
χ282222-2-2222-2-2222222200200-2-2-2-22222-2222-22222-2-20000-2-200000000-2-20000-2-2-2-2000000000000000000000000220000
χ292222-2-222-222-2222222222-2-2-2-2-2-2222-22-2-2-22-2-2-2-2222222-2-22222-2-2-2-222-2-2-2-20000000000000000000000000000000000
χ302222-2-222-222-2222222-2-2222-2-2-2-2222-22-2-2-22-2-2-2-222-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000000000
χ312222-2-22-1-222-22-1-12-1222-1-2-2-2-211-1-1-1-221-21-11111-1222-1-111-1-1-1-1-21-21-1-1111100000000−i3i3−i3i300000000−i3i3−i3i30000000000
χ322222-2-22-1-222-22-1-12-1222-1-2-2-2-211-1-1-1-221-21-11111-1222-1-111-1-1-1-1-21-21-1-1111100000000i3−i3i3−i300000000i3−i3i3−i30000000000
χ332222-2-22-1-222-22-1-12-12-2-2-122-2-211-1-1-1-221-21-11111-12-2-2111111112-12-1-1-1-1-1-1-100000000−i3i3−i3i300000000i3−i3i3−i30000000000
χ342222-2-22-1-222-22-1-12-12-2-2-122-2-211-1-1-1-221-21-11111-12-2-2111111112-12-1-1-1-1-1-1-100000000i3−i3i3−i300000000−i3i3−i3i30000000000
χ352222-2-2-12-222-2-122-12-122-1-2-211-2-2-1-1-11-1-21-2211112-1-1-12211-1-1-1-11-21-2-1-111110000000000000000−i3i3−i3i30000−i3i3−i3i3000000
χ362222-2-2-12-222-2-122-12-122-1-2-211-2-2-1-1-11-1-21-2211112-1-1-12211-1-1-1-11-21-2-1-111110000000000000000i3−i3i3−i30000i3−i3i3−i3000000
χ372222-2-2-12-222-2-122-12-1-2-2-12211-2-2-1-1-11-1-21-2211112-111-2-2111111-12-12-1-1-1-1-1-10000000000000000−i3i3−i3i30000i3−i3i3−i3000000
χ382222-2-2-12-222-2-122-12-1-2-2-12211-2-2-1-1-11-1-21-2211112-111-2-2111111-12-12-1-1-1-1-1-10000000000000000i3−i3i3−i30000−i3i3−i3i3000000
χ392-22-22-222-2-222-2-2-222-2002002-22-2-2-22-2-2-2222-2-222-2200002-200000000-2200000000000000000000000000000000002-2-22
χ402-22-22-222-2-222-2-2-222-2002002-22-2-2-22-2-2-2222-2-222-2200002-200000000-220000000000000000000000000000000000-222-2
χ412-22-22-22-122-2-2-2112-1-22-2-12-22-2-1111-122-1-211-1-111-1-22-2-11-11-1-1112-1-21-11-1-11100002-200-1-1112-2000000-1-1110000000000
χ422-22-22-22-122-2-2-2112-1-22-2-12-22-2-1111-122-1-211-1-111-1-22-2-11-11-1-1112-1-21-11-1-1110000-220011-1-1-2200000011-1-10000000000
χ432-22-22-22-122-2-2-2112-1-2-22-1-222-2-1111-122-1-211-1-111-1-2-221-1-1111-1-1-212-1-1111-1-100002-200-1-111-2200000011-1-10000000000
χ442-22-22-22-122-2-2-2112-1-2-22-1-222-2-1111-122-1-211-1-111-1-2-221-1-1111-1-1-212-1-1111-1-10000-220011-1-12-2000000-1-1110000000000
χ452-22-22-2-1222-2-21-2-2-1212-2-12-2-112-211-1-1-121-2-2-1-11121-112-2-11-1-111-121-2-11-1-1110000002i−2i0000002i−2i−i−iii0000−i−iii000000
χ462-22-22-2-1222-2-21-2-2-1212-2-12-2-112-211-1-1-121-2-2-1-11121-112-2-11-1-111-121-2-11-1-111000000−2i2i000000−2i2iii−i−i0000ii−i−i000000
χ472-22-22-2-1222-2-21-2-2-121-22-1-22-112-211-1-1-121-2-2-1-111211-1-22-1111-1-11-2-12-1111-1-10000002i−2i000000−2i2i−i−iii0000ii−i−i000000
χ482-22-22-2-1222-2-21-2-2-121-22-1-22-112-211-1-1-121-2-2-1-111211-1-22-1111-1-11-2-12-1111-1-1000000−2i2i0000002i−2iii−i−i0000−i−iii000000
χ492-22-2-22222-22-2-2-2-222-200200-22-22-2-222-22-2-2222-2-2-220000-2200000000-2200002i2i−2i−2i000000000000000000000000−2i2i0000
χ502-22-2-22222-22-2-2-2-222-200200-22-22-2-222-22-2-2222-2-2-220000-2200000000-220000−2i−2i2i2i0000000000000000000000002i−2i0000
χ512-22-2-2222-22-22-2-2-222-22-22-22-22-22-2-22-22-222-2-2-2222-22-22-2-2222-2-2-2-2222-2-2-2220000000000000000000000000000000000
χ522-22-2-2222-22-22-2-2-222-2-2222-2-22-22-2-22-22-222-2-2-2222-2-22-22-22-2-22222-2-22-222-2-20000000000000000000000000000000000
χ532-22-2-222-1-22-22-2112-1-22-2-1-22-221-111-1-2212-1111-1-1-1-22-2-111-1-1-111-212-1-1111-1-100000000−i3i3i3−i300000000−i3i3i3−i30000000000
χ542-22-2-222-1-22-22-2112-1-22-2-1-22-221-111-1-2212-1111-1-1-1-22-2-111-1-1-111-212-1-1111-1-100000000i3−i3−i3i300000000i3−i3−i3i30000000000
χ552-22-2-222-1-22-22-2112-1-2-22-12-2-221-111-1-2212-1111-1-1-1-2-221-11-111-1-12-1-21-11-1-11100000000−i3i3i3−i300000000i3−i3−i3i30000000000
χ562-22-2-222-1-22-22-2112-1-2-22-12-2-221-111-1-2212-1111-1-1-1-2-221-11-111-1-12-1-21-11-1-11100000000i3−i3−i3i300000000−i3i3i3−i30000000000
χ572-22-2-22-12-22-221-2-2-1212-2-1-221-1-2211-11-1-2-12-211-1-121-112-21-1-1-1111-2-12-1111-1-100000000000000003−3−3300003−3−33000000
χ582-22-2-22-12-22-221-2-2-1212-2-1-221-1-2211-11-1-2-12-211-1-121-112-21-1-1-1111-2-12-1111-1-10000000000000000−333−30000−333−3000000
χ592-22-2-22-12-22-221-2-2-121-22-12-21-1-2211-11-1-2-12-211-1-1211-1-221-111-1-1-121-2-11-1-11100000000000000003−3−330000−333−3000000
χ602-22-2-22-12-22-221-2-2-121-22-12-21-1-2211-11-1-2-12-211-1-1211-1-221-111-1-1-121-2-11-1-1110000000000000000−333−300003−3−33000000
χ614444444-2-4-4-4-44-2-24-2400-20044-2-2-2-2-2-4-42-42222222-40000-2-2000000002200000000000000000000000000000000000000
χ62444444-24-4-4-4-4-244-24-200-200-2-244-2-2-222-42-4-42222-420000-2-2000000002200000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-2-21111-2-2-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-4-41-4-4-2-2-2-2111-2-2-2-2-2-21111-2-2222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-200100-2-2-2-2111222222-1-1-1-1220000113-33-30000-1-13-33-30000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-200100-2-2-2-2111222222-1-1-1-122000011-33-330000-1-1-33-330000000000000000000000000000000000
χ674444-4-44-24-4-444-2-24-2400-200-4-422-2-2-24-4-24-22-2-2-2-22-4000022000000002200000000000000000000000000000000000000
χ684444-4-4-244-4-44-244-24-200-20022-4-4-2-2-2-224-24-4-2-2-2-2-42000022000000002200000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-2001002222111-22-2-2-221111220000-1-13-33-30000-1-1-33-330000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-2001002222111-22-2-2-221111220000-1-1-33-330000-1-13-33-30000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-2441-4-422221112-2222-2-1-1-1-1-2-2-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-2-4-414422221112-2222-2-1-1-1-1-2-22222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ7344-4-40044000044-4-4-4-40040000004-4-400000000000000000000000000000000−2i22i2−2i22i2000000000000000000000000000000
χ7444-4-40044000044-4-4-4-40040000004-4-4000000000000000000000000000000002i2−2i22i2−2i2000000000000000000000000000000
χ754-44-44-44-2-4-444-4224-2-400-2004-4-2222-2-4-424-2-222-2-2240000-22000000002-200000000000000000000000000000000000000
χ764-44-44-4-24-4-4442-4-4-24200-200-224-422-222-4-24422-2-2-4-20000-22000000002-200000000000000000000000000000000000000
χ774-44-44-4-2-244-4-4222-2-224-414-4-22-22-1-11-2-2-222211-1-1-22-22-221-111-1-1-2-2221-111-1-10000000000000000000000000000000000
χ784-44-44-4-2-244-4-4222-2-22-441-44-22-22-1-11-2-2-222211-1-1-222-22-21-1-1-11122-2-21-1-1-1110000000000000000000000000000000000
χ794-44-44-4-2-2-4-444222-2-2200100-22-22-1-11222-2-2-2-1-1112-200001-13-3-330000-113-3-330000000000000000000000000000000000
χ804-44-44-4-2-2-4-444222-2-2200100-22-22-1-11222-2-2-2-1-1112-200001-1-333-30000-11-333-30000000000000000000000000000000000
χ814-44-4-444-24-44-4-4224-2-400-200-442-222-24-4-2-42-2-2-2222400002-2000000002-200000000000000000000000000000000000000
χ824-44-4-44-244-44-42-4-4-24200-2002-2-4422-2-2242-44-2-222-4-200002-2000000002-200000000000000000000000000000000000000
χ834-44-4-44-2-24-44-4222-2-22001002-22-2-1-11-22-222-211-1-12-20000-113-3-330000-11-333-30000000000000000000000000000000000
χ844-44-4-44-2-24-44-4222-2-22001002-22-2-1-11-22-222-211-1-12-20000-11-333-30000-113-3-330000000000000000000000000000000000
χ854-44-4-44-2-2-44-44222-2-224-41-442-22-2-1-112-22-2-22-1-111-22-22-22-1111-1-122-2-21-1-1-1110000000000000000000000000000000000
χ864-44-4-44-2-2-44-44222-2-22-4414-42-22-2-1-112-22-2-22-1-111-222-22-2-11-1-111-2-2221-111-1-10000000000000000000000000000000000
χ874-4-4400440000-4-44-4-44004000000-44-40000000000000000000000000000000022−22−2222000000000000000000000000000000
χ884-4-4400440000-4-44-4-44004000000-44-400000000000000000000000000000000−222222−22000000000000000000000000000000
χ8988-8-8008-400008-44-84-800-4000000-444000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-48-84-8400-4000000-444000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-4-444440020000002-2-20000006i−6i6i−6i00000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4-444440020000002-2-2000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-84-4-84800-40000004-44000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-884-8-400-40000004-44000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-4000044-444-4002000000-22-20000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044-444-4002000000-22-2000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).