Finite Group Databasebeta

← Group #11864086

Character table — Group #11864086

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order1222223344446666663666666612121212121212121212121266881212242424242424242424242424242424242222444444442444666666121212121212121212122288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1
χ91111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-111-1-1-1-11-11-1
χ101111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-11-11-1-111-1-111-1-1-1-11111-11-11
χ111111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11-111-1-111-1-11111-1-1-1-1-11-11
χ121111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111111-11-1
χ131111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1111-1-11
χ141111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111-11-11111-1-1-1-111-1-111-1-1-111-1
χ151111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-11-11-1-1-1-11111-1-111-1-111-111-1
χ161111-1-111-1-1111111111-1-1-1-11111-1-11-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-111-1-11111-1-1-1-111-1-11-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000222200000000000000000000-2-200
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000-2-2-2-2000000000000000000002200
χ192222222-1222222-1-1-12-122-1-1-1-1-1-1-1-1222-1-1-12-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1222200000000022000-1-1-1-1-1-1-1-10000000000
χ202222222-1222222-1-1-12-122-1-1-1-1-1-1-1-1222-1-1-12-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2000000000-2-2000111111110000000000
χ212222222-1222222-1-1-12-122-1-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-2-2-1-1-2-2111111-2-21111112222000000000-2-2000-1-1-1-111110000000000
χ222222222-1222222-1-1-12-122-1-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-2-2-1-1-2-2111111-2-2111111-2-2-2-2000000000220001111-1-1-1-10000000000
χ23222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222200002002-1-100000000-1-1-1-1-1-10000
χ24222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-20000-200-211000000001111110000
χ25222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-1-12-1-1-1-1-1-2-2-1-111-2-2111111-2-21111000022220000-200-21100000000-1-1-1-1110000
χ26222222-122222-1-1222-1-1-1-122-1-1-1222-1-1-1-1-12-1-1-1-1-1-2-2-1-111-2-2111111-2-211110000-2-2-2-200002002-1-1000000001111-1-10000
χ272222-2-22222-2-22222222-2-2-2-2222-222-222-2-2-2-2-2-2-2-2002200000000000000000000000022-2-200000000000000000000-2200
χ282222-2-22222-2-22222222-2-2-2-2222-222-222-2-2-2-2-2-2-2-20022000000000000000000000000-2-222000000000000000000002-200
χ292222-2-22-1-2-22222-1-1-12-1-2-211-1-1-1-1112-2-2-1-1-12-1-1112-21122-1-1-1-1-1-1-2-211111122-2-20000000002-2000-1-111-1-1110000000000
χ302222-2-22-1-2-22222-1-1-12-1-2-211-1-1-1-1112-2-2-1-1-12-1-1112-21122-1-1-1-1-1-1-2-2111111-2-222000000000-2200011-1-111-1-10000000000
χ312222-2-22-1-2-22222-1-1-12-1-2-211-1-1-1-1112-2-2-1-1-12-1-111-2211-2-211111122-1-1-1-1-1-122-2-2000000000-22000-1-11111-1-10000000000
χ322222-2-22-1-2-22222-1-1-12-1-2-211-1-1-1-1112-2-2-1-1-12-1-111-2211-2-211111122-1-1-1-1-1-1-2-2220000000002-200011-1-1-1-1110000000000
χ332222-2-2-12-2-222-1-1222-1-111-2-2-1-1-12-2-2-111-1-12-1-1-1112-211-1-122-1-1-1-111-2-21111000022-2-20000200-2-1-100000000-1-111110000
χ342222-2-2-12-2-222-1-1222-1-111-2-2-1-1-12-2-2-111-1-12-1-1-1112-211-1-122-1-1-1-111-2-211110000-2-2220000-2002110000000011-1-1-1-10000
χ352222-2-2-12-2-222-1-1222-1-111-2-2-1-1-12-2-2-111-1-12-1-1-111-221111-2-21111-1-122-1-1-1-1000022-2-20000-20021100000000-1-111-1-10000
χ362222-2-2-12-2-222-1-1222-1-111-2-2-1-1-12-2-2-111-1-12-1-1-111-221111-2-21111-1-122-1-1-1-10000-2-2220000200-2-1-10000000011-1-1110000
χ372-2-222-2222-22-2-2-22-2-2222-22-2-2-22-22-2-22-2-2-222222-2002-2000000000000000000002-22-20000000000000000002-22-2000000
χ382-2-222-2222-22-2-2-22-2-2222-22-2-2-22-22-2-22-2-2-222222-2002-200000000000000000000-22-22000000000000000000-22-22000000
χ392-2-222-222-22-22-2-22-2-2222-22-2-2-222-222-2222-2-2-2-22-200-2200000000000000002-22-2000000000000002-22-200000000000000
χ402-2-222-222-22-22-2-22-2-2222-22-2-2-222-222-2222-2-2-2-22-200-220000000000000000-22-2200000000000000-22-2200000000000000
χ412-2-222-22-1-22-22-2-2-1112-12-2-1111-1-11-12-22-1-11-211-11001-1003−333−3−3003−333−3−32-22-200000000000000-11-113−33−30000000000
χ422-2-222-22-1-22-22-2-2-1112-12-2-1111-1-11-12-22-1-11-211-11001-1003−333−3−3003−333−3−3-22-22000000000000001-11-1−33−330000000000
χ432-2-222-22-1-22-22-2-2-1112-12-2-1111-1-11-12-22-1-11-211-11001-100−33−3−33300−33−3−3332-22-200000000000000-11-11−33−330000000000
χ442-2-222-22-1-22-22-2-2-1112-12-2-1111-1-11-12-22-1-11-211-11001-100−33−3−33300−33−3−333-22-22000000000000001-11-13−33−30000000000
χ452-2-222-2-122-22-2112-2-2-1-1-112-211-1-22-21-11112-1-1-1-1100-11−i3i300−i3i3−i3i3−i3i300−i3i3−i3i300002-22-200000000−i3i300000000-11-11−i3i30000
χ462-2-222-2-122-22-2112-2-2-1-1-112-211-1-22-21-11112-1-1-1-1100-11−i3i300−i3i3−i3i3−i3i300−i3i3−i3i30000-22-2200000000i3−i3000000001-11-1i3−i30000
χ472-2-222-2-122-22-2112-2-2-1-1-112-211-1-22-21-11112-1-1-1-1100-11i3−i300i3−i3i3−i3i3−i300i3−i3i3−i300002-22-200000000i3−i300000000-11-11i3−i30000
χ482-2-222-2-122-22-2112-2-2-1-1-112-211-1-22-21-11112-1-1-1-1100-11i3−i300i3−i3i3−i3i3−i300i3−i3i3−i30000-22-2200000000−i3i3000000001-11-1−i3i30000
χ492-2-22-22222-2-22-2-22-2-222-22-22-2-2222-222-222-2-2-2-2-22002-200000000000000002-2-22000000000000002-2-2200000000000000
χ502-2-22-22222-2-22-2-22-2-222-22-22-2-2222-222-222-2-2-2-2-22002-20000000000000000-222-200000000000000-222-200000000000000
χ512-2-22-2222-222-2-2-22-2-222-22-22-2-22-2-22-2-22-2-22222-2200-22000000000000000000002-2-220000000000000000002-2-22000000
χ522-2-22-2222-222-2-2-22-2-222-22-22-2-22-2-22-2-22-2-22222-2200-2200000000000000000000-222-2000000000000000000-222-2000000
χ532-2-22-222-12-2-22-2-2-1112-1-221-111-1-1-1122-2-1-11-2111-100-11003−333−3−300−33−3−3332-2-2200000000000000-111-13−3−330000000000
χ542-2-22-222-12-2-22-2-2-1112-1-221-111-1-1-1122-2-1-11-2111-100-11003−333−3−300−33−3−333-222-2000000000000001-1-11−333−30000000000
χ552-2-22-222-12-2-22-2-2-1112-1-221-111-1-1-1122-2-1-11-2111-100-1100−33−3−333003−333−3−32-2-2200000000000000-111-1−333−30000000000
χ562-2-22-222-12-2-22-2-2-1112-1-221-111-1-1-1122-2-1-11-2111-100-1100−33−3−333003−333−3−3-222-2000000000000001-1-113−3−330000000000
χ572-2-22-22-12-222-2112-2-2-1-11-1-2211-1-2-2211-1112-1-1-11-1001-1−i3i300−i3i3−i3i3i3−i300i3−i3i3−i300002-2-2200000000−i3i300000000-111-1i3−i30000
χ582-2-22-22-12-222-2112-2-2-1-11-1-2211-1-2-2211-1112-1-1-11-1001-1−i3i300−i3i3−i3i3i3−i300i3−i3i3−i30000-222-200000000i3−i3000000001-1-11−i3i30000
χ592-2-22-22-12-222-2112-2-2-1-11-1-2211-1-2-2211-1112-1-1-11-1001-1i3−i300i3−i3i3−i3−i3i300−i3i3−i3i300002-2-2200000000i3−i300000000-111-1−i3i30000
χ602-2-22-22-12-222-2112-2-2-1-11-1-2211-1-2-2211-1112-1-1-11-1001-1i3−i300i3−i3i3−i3−i3i300−i3i3−i3i30000-222-200000000−i3i3000000001-1-11i3−i30000
χ614444444-2-4-4-4-444-2-2-24-244-2-2-2-2-2222-4-4-4222-422-2-200220000000000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-2444-2-2-2-244-2-2-2-4-4-422222-4222-2-200220000000000000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-2-211114411-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-2-21111-4-4112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222-1-122-1-11100-1-100003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222-1-122-1-11100-1-10000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000000
χ674444-4-44-244-4-444-2-2-24-2-4-422-2-2-22-2-2-444222-4222200-2-20000000000000000000000000000000000000000000000000000
χ684444-4-4-2444-4-4-2-2444-2-222-4-4-2-2-2-4442-2-222-42222200-2-20000000000000000000000000000000000000000000000000000
χ694444-4-4-2-244-4-4-2-2-2-2-2-2122221112-2-22-2-2-1-122-1-1-1-1001100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ704444-4-4-2-244-4-4-2-2-2-2-2-2122221112-2-22-2-2-1-122-1-1-1-100110000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ714444-4-4-2-2-4-444-2-2-2-2-2-212222111-222-22211-2-211-1-14-4-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000000
χ724444-4-4-2-2-4-444-2-2-2-2-2-212222111-222-22211-2-211-1-1-44-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000000
χ7344-4-4004400004-4-44-4-4400004-4-4000000000000000000000000000000000000000000004i−4i000000000000000000000000
χ7444-4-4004400004-4-44-4-4400004-4-400000000000000000000000000000000000000000000−4i4i000000000000000000000000
χ754-44-400440000-44-4-44-440000-44-40000000000000000000000000000000000000000004i−4i00000000000000000000000000
χ764-44-400440000-44-4-44-440000-44-4000000000000000000000000000000000000000000−4i4i00000000000000000000000000
χ774-4-444-44-24-44-4-4-4-2224-24-4-2222-22-22-44-422-24-2-2-2200-220000000000000000000000000000000000000000000000000000
χ784-4-444-4-24-44-44224-4-4-2-2-224-422-24-44-22-2-2-2-4222-22002-20000000000000000000000000000000000000000000000000000
χ794-4-444-4-2-24-44-422-222-21-22-22-1-112-222-22-1-1-2-2111-1001-1−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i3000000000000000000000000000000000000
χ804-4-444-4-2-24-44-422-222-21-22-22-1-112-222-22-1-1-2-2111-1001-12i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i3000000000000000000000000000000000000
χ814-4-444-4-2-2-44-4422-222-21-22-22-1-11-22-2-22-21122-1-11-100-110023−23−3−3330023−23−3−333000000000000000000000000000000000000
χ824-4-444-4-2-2-44-4422-222-21-22-22-1-11-22-2-22-21122-1-11-100-1100−232333−3−300−232333−3−3000000000000000000000000000000000000
χ834-4-44-444-2-444-4-4-4-2224-2-442-222-222-2-4-4422-24-2-22-2002-20000000000000000000000000000000000000000000000000000
χ844-4-44-44-244-4-44224-4-4-2-22-2-4422-244-4-2-22-2-2-42222-200-220000000000000000000000000000000000000000000000000000
χ854-4-44-44-2-24-4-4422-222-212-22-2-1-11-2-22-2-221122-1-1-11001-10023−23−3−33300−232333−3−3000000000000000000000000000000000000
χ864-4-44-44-2-24-4-4422-222-212-22-2-1-11-2-22-2-221122-1-1-11001-100−232333−3−30023−23−3−333000000000000000000000000000000000000
χ874-4-44-44-2-2-444-422-222-212-22-2-1-1122-222-2-1-1-2-211-1100-11−2i32i300i3−i3i3−i32i3−2i300−i3i3−i3i3000000000000000000000000000000000000
χ884-4-44-44-2-2-444-422-222-212-22-2-1-1122-222-2-1-1-2-211-1100-112i3−2i300−i3i3−i3i3−2i32i300i3−i3i3−i3000000000000000000000000000000000000
χ8988-8-8008-400008-84-44-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-44-88-84-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-444-444200002-2-20000006i−6i006i−6i0000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-444-444200002-2-2000000−6i6i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-8844-4-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-4-8-884-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-444-4420000-22-20000006i−6i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-444-4420000-22-2000000−6i6i006i−6i0000000000000000000000000000000000000000000000000000000000

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