Finite Group Databasebeta

← Group #11790840

Character table — Group #11790840

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order1222222222336666663666666666666666666644666612121212121212121212121212121212444444444444224466661212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-1-1-1
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
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111-1-1-1-1-1-111
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-1-1-1-11111-1-111
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1
χ9111111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i11-1-111-1-11111-1-1-1-1ii−i−iii−i−i1-1i−i
χ10111111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii-1-1111-1-1111-1-1-1-111ii−i−i−i−iii-11−ii
χ11111111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i-1-111-111-1-1-11111-1-1−i−iiiii−i−i-11−ii
χ12111111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii11-1-1-1-111-1-1-1-11111−i−iii−i−iii1-1i−i
χ13111111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i11-1-1-1-111-1-1-1-11111ii−i−iii−i−i1-1−ii
χ14111111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii-1-111-111-1-1-11111-1-1ii−i−i−i−iii-11i−i
χ15111111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i-1-1111-1-1111-1-1-1-111−i−iiiii−i−i-11i−i
χ16111111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii11-1-111-1-11111-1-1-1-1−i−iii−i−iii1-1−ii
χ1722222222222-122-1-12-1-122-1-122-1-1-1-1-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022220000020200-1-100-1-10000-1-1-1-10000
χ1822222222222-122-1-12-1-122-1-122-1-1-1-1-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000-20-200110011000011110000
χ1922222222222-122-1-12-1-122-1-122-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2111111-2-21111110000222200000-20-2001100110000-1-1-1-10000
χ2022222222222-122-1-12-1-122-1-122-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2111111-2-21111110000-2-2-2-20000020200-1-100-1-1000011110000
χ212222222222-12-1-122-12-1-1-122-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12222000000002020-1-100-1-100-1-1-1-100000000
χ222222222222-12-1-122-12-1-1-122-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-200000000-20-2011001100111100000000
χ232222222222-12-1-122-12-1-1-122-1-122-1-1-1-1-1-12-1-1-12-2-2-1-1-1-111-2-2111111-2-21111222200000000-20-2011001100-1-1-1-100000000
χ242222222222-12-1-122-12-1-1-122-1-122-1-1-1-1-1-12-1-1-12-2-2-1-1-1-111-2-2111111-2-21111-2-2-2-2000000002020-1-100-1-100111100000000
χ25222222-2-2-2-22-122-1-12-1-122-1-1-2-211-1-1-111-2111-212i−2i-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii00002i2i−2i−2i0000020-200-1-100110000−i−iii0000
χ26222222-2-2-2-22-122-1-12-1-122-1-1-2-211-1-1-111-2111-212i−2i-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii0000−2i−2i2i2i00000-202001100-1-10000ii−i−i0000
χ27222222-2-2-2-22-122-1-12-1-122-1-1-2-211-1-1-111-2111-21−2i2i-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i00002i2i−2i−2i00000-202001100-1-10000−i−iii0000
χ28222222-2-2-2-22-122-1-12-1-122-1-1-2-211-1-1-111-2111-21−2i2i-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000−2i−2i2i2i0000020-200-1-100110000ii−i−i0000
χ29222222-2-2-2-2-12-1-122-12-1-1-12211-2-2-1-1-1111-2111-22i−2i-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii2i2i−2i−2i0000000020-20-1-1001100−i−iii00000000
χ30222222-2-2-2-2-12-1-122-12-1-1-12211-2-2-1-1-1111-2111-22i−2i-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii−2i−2i2i2i00000000-20201100-1-100ii−i−i00000000
χ31222222-2-2-2-2-12-1-122-12-1-1-12211-2-2-1-1-1111-2111-2−2i2i-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i2i2i−2i−2i00000000-20201100-1-100−i−iii00000000
χ32222222-2-2-2-2-12-1-122-12-1-1-12211-2-2-1-1-1111-2111-2−2i2i-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i−2i−2i2i2i0000000020-20-1-1001100ii−i−i00000000
χ332222-2-22-2-22222222222-2-2-2-22-22-2222222222-2-200-2-2-2-200000000000000000000000022-2-200000000000000000000-2200
χ342222-2-22-2-22222222222-2-2-2-22-22-2222222222-2-200-2-2-2-2000000000000000000000000-2-222000000000000000000002-200
χ352222-2-2-222-2222222222-2-2-2-2-22-22222-2-2-2-2-2-22200-2-222000000000000000000000000222200000000000000000000-2-200
χ362222-2-2-222-2222222222-2-2-2-2-22-22222-2-2-2-2-2-22200-2-222000000000000000000000000-2-2-2-2000000000000000000002200
χ372-22-22-222-2-222-2-2-2-22222-22-2222-22-2-222-2-2-2-2-22002-22-200000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i00000000
χ382-22-22-222-2-222-2-2-2-22222-22-2222-22-2-222-2-2-2-2-22002-22-20000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i00000000
χ392-22-22-222-2-2-1211-2-2-12-1-112-2-1-12-2-111-1-11-2111200-11-113−30033−3−33−30033−3−32i−2i2i−2i000000000000−i3i300−i3i300−ii−ii00000000
χ402-22-22-222-2-2-1211-2-2-12-1-112-2-1-12-2-111-1-11-2111200-11-113−30033−3−33−30033−3−3−2i2i−2i2i000000000000i3−i300i3−i300i−ii−i00000000
χ412-22-22-222-2-2-1211-2-2-12-1-112-2-1-12-2-111-1-11-2111200-11-11−3300−3−333−3300−3−3332i−2i2i−2i000000000000i3−i300i3−i300−ii−ii00000000
χ422-22-22-222-2-2-1211-2-2-12-1-112-2-1-12-2-111-1-11-2111200-11-11−3300−3−333−3300−3−333−2i2i−2i2i000000000000−i3i300−i3i300i−ii−i00000000
χ432-22-22-2-2-22222-2-2-2-22222-22-2-2-2-222-2-2-2-222222-2002-2-2200000000000000002-2-22000000000000000000002-2-2200000000
χ442-22-22-2-2-22222-2-2-2-22222-22-2-2-2-222-2-2-2-222222-2002-2-220000000000000000-222-200000000000000000000-222-200000000
χ452-22-22-2-2-222-1211-2-2-12-1-112-211-22-11111-12-1-1-1-200-111-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i32-2-22000000000000−i3i300i3−i300-111-100000000
χ462-22-22-2-2-222-1211-2-2-12-1-112-211-22-11111-12-1-1-1-200-111-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i3-222-2000000000000i3−i300−i3i3001-1-1100000000
χ472-22-22-2-2-222-1211-2-2-12-1-112-211-22-11111-12-1-1-1-200-111-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i32-2-22000000000000i3−i300−i3i300-111-100000000
χ482-22-22-2-2-222-1211-2-2-12-1-112-211-22-11111-12-1-1-1-200-111-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i3-222-2000000000000−i3i300i3−i3001-1-1100000000
χ492-22-2-222-22-222-2-2-2-2222-22-222-2222-2-222-2-2-2-22-200-22-22000000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ502-22-2-222-22-222-2-2-2-2222-22-222-2222-2-222-2-2-2-22-200-22-2200000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ512-22-2-222-22-22-1-2-2112-1-1-221-12-2-1-1-111-1-1-211121001-11-1003−33−33−3003−33−33−300002i−2i2i−2i0000000000−i3i300−i3i30000−ii−ii0000
χ522-22-2-222-22-22-1-2-2112-1-1-221-12-2-1-1-111-1-1-211121001-11-1003−33−33−3003−33−33−30000−2i2i−2i2i0000000000i3−i300i3−i30000i−ii−i0000
χ532-22-2-222-22-22-1-2-2112-1-1-221-12-2-1-1-111-1-1-211121001-11-100−33−33−3300−33−33−3300002i−2i2i−2i0000000000i3−i300i3−i30000−ii−ii0000
χ542-22-2-222-22-22-1-2-2112-1-1-221-12-2-1-1-111-1-1-211121001-11-100−33−33−3300−33−33−330000−2i2i−2i2i0000000000−i3i300−i3i30000i−ii−i0000
χ552-22-2-22-22-2222-2-2-2-2222-22-22-22-2-22-2-2-2-22222-2200-222-2000000000000000000002-2-22000000000000000000002-2-220000
χ562-22-2-22-22-2222-2-2-2-2222-22-22-22-2-22-2-2-2-22222-2200-222-200000000000000000000-222-200000000000000000000-222-20000
χ572-22-2-22-22-222-1-2-2112-1-1-221-1-2211-111112-1-1-1-2-1001-1-1100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i300002-2-220000000000−i3i300i3−i30000-111-10000
χ582-22-2-22-22-222-1-2-2112-1-1-221-1-2211-111112-1-1-1-2-1001-1-1100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i30000-222-20000000000i3−i300−i3i300001-1-110000
χ592-22-2-22-22-222-1-2-2112-1-1-221-1-2211-111112-1-1-1-2-1001-1-1100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i300002-2-220000000000i3−i300−i3i30000-111-10000
χ602-22-2-22-22-222-1-2-2112-1-1-221-1-2211-111112-1-1-1-2-1001-1-1100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i30000-222-20000000000−i3i300i3−i300001-1-110000
χ614444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2441111-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ624444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2-4-411112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ63444444-4-4-4-4-2-2-2-2-2-2-2-21-2-2-2-22222111-1-122-1-1224i−4i11-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000000000
χ64444444-4-4-4-4-2-2-2-2-2-2-2-21-2-2-2-22222111-1-122-1-122−4i4i11-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000000000
χ654444-4-44-4-444-244-2-24-2-2-4-4224-4-22-2-2-2-2-24-2-2-2-420022220000000000000000000000000000000000000000000000000000
χ664444-4-44-4-44-24-2-244-24-222-4-4-224-4-2-2-2-2-2-24-2-22-40022220000000000000000000000000000000000000000000000000000
χ674444-4-44-4-44-2-2-2-2-2-2-2-212222-22-2211111-2-2112200-1-1-1-100003-3-3300003-3-33000000000000000000000000000000000000
χ684444-4-44-4-44-2-2-2-2-2-2-2-212222-22-2211111-2-2112200-1-1-1-10000-333-30000-333-3000000000000000000000000000000000000
χ694444-4-4-444-44-244-2-24-2-2-4-422-442-2-2-2-222-42224-20022-2-20000000000000000000000000000000000000000000000000000
χ704444-4-4-444-4-24-2-244-24-222-4-42-2-44-2-2-2222-422-240022-2-20000000000000000000000000000000000000000000000000000
χ714444-4-4-444-4-2-2-2-2-2-2-2-2122222-22-2111-1-122-1-1-2-200-1-11100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ724444-4-4-444-4-2-2-2-2-2-2-2-2122222-22-2111-1-122-1-1-2-200-1-1110000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ7344-4-4000000444-44-4-4-4400000000-44-400000000000000000000000000000000000000004i−4i000000000000000000000000
χ7444-4-4000000444-44-4-4-4400000000-44-40000000000000000000000000000000000000000−4i4i000000000000000000000000
χ754-44-44-444-4-44-2-4-4224-2-24-4-2244-22-222-2-2-4222-4-200-22-220000000000000000000000000000000000000000000000000000
χ764-44-44-444-4-4-2-22222-2-21-22-22-2-2-221-1-11122-1-12-2001-11-123−2300−3−33323−2300−3−333000000000000000000000000000000000000
χ774-44-44-444-4-4-2-22222-2-21-22-22-2-2-221-1-11122-1-12-2001-11-1−23230033−3−3−23230033−3−3000000000000000000000000000000000000
χ784-44-44-4-4-4444-2-4-4224-2-24-4-22-4-42-2-222224-2-2-24200-222-20000000000000000000000000000000000000000000000000000
χ794-44-44-4-4-444-2-22222-2-21-22-22222-21-1-1-1-1-2-211-22001-1-11−2i32i300i3i3−i3−i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000
χ804-44-44-4-4-444-2-22222-2-21-22-22222-21-1-1-1-1-2-211-22001-1-112i3−2i300−i3−i3i3i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000
χ814-44-4-444-44-4-2422-4-4-24-22-2-44-2244-222-2-22-422-2-4002-22-20000000000000000000000000000000000000000000000000000
χ824-44-4-444-44-4-2-22222-2-212-22-2-22-2-21-1-11122-1-1-2200-11-110023−23−33−330023−23−33−33000000000000000000000000000000000000
χ834-44-4-444-44-4-2-22222-2-212-22-2-22-2-21-1-11122-1-1-2200-11-1100−23233−33−300−23233−33−3000000000000000000000000000000000000
χ844-44-4-44-44-44-2422-4-4-24-22-2-442-2-4-4-22222-24-2-224002-2-220000000000000000000000000000000000000000000000000000
χ854-44-4-44-44-44-2-22222-2-212-22-22-2221-1-1-1-1-2-2112-200-111-100−2i32i3i3−i3i3−i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ864-44-4-44-44-44-2-22222-2-212-22-22-2221-1-1-1-1-2-2112-200-111-1002i3−2i3−i3i3−i3i300−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ874-4-4400000044-44-44-4-4400000000-4-44000000000000000000000000000000000000004-400000000000000000000000000
χ884-4-4400000044-44-44-4-4400000000-4-4400000000000000000000000000000000000000-4400000000000000000000000000
χ8988-8-80000008-48-8-44-84-4000000004-44000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8000000-48-448-84-8-4000000004-44000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8000000-4-4-44-4444200000000-22-26-6006-6000000000000000000000000000000000000000000000000000000000000
χ9288-8-8000000-4-4-44-4444200000000-22-2-6600-66000000000000000000000000000000000000000000000000000000000000
χ938-8-880000008-4-884-4-84-40000000044-4000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88000000-484-4-884-8-40000000044-4000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88000000-4-44-44-444200000000-2-226-600-66000000000000000000000000000000000000000000000000000000000000
χ968-8-88000000-4-44-44-444200000000-2-22-66006-6000000000000000000000000000000000000000000000000000000000000

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