Finite Group Databasebeta

← Group #11792811

Character table — Group #11792811

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1222222222336666663666666666666666666644666612121212121212121212121212121212224444446666121212121212121212121212222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-1-1-111111111-1-1
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-11111-1-1
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ922222222222-122-1-12-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10202002200-1-100-1-10000-1-1-1-1000000
χ1022222222222-122-1-12-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-20-200-2-20011001100001111000000
χ1122222222222-122-1-12-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2-2-2111111111111020200-2-200-1-100-1-100001111000000
χ1222222222222-122-1-12-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2-2-21111111111110-20-20022001100110000-1-1-1-1000000
χ132222222222-12-1-122-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-120202200-1-100-1-100-1-1-1-10000000000
χ142222222222-12-1-122-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-20-20-2-2001100110011110000000000
χ152222222222-12-1-122-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-2-2-1-1-1-11111-2-2-2-2111111112020-2-200-1-100-1-10011110000000000
χ162222222222-12-1-122-12-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-2-2-1-1-1-11111-2-2-2-211111111-20-20220011001100-1-1-1-10000000000
χ1722222-2-22-2-22222222222-2-2-22-2-2-2222222222-2-200-2-2-2-2000000000000000000000000000000000000000000002-2
χ1822222-2-22-2-22222222222-2-2-22-2-2-2222222222-2-200-2-2-2-200000000000000000000000000000000000000000000-22
χ192222-22-2-22-2222222222-222-2-22-2-2222-2-2-2-2-2-2-220022-2-2000000000000000020-2000002200-2-20000000000000000
χ202222-22-2-22-2222222222-222-2-22-2-2222-2-2-2-2-2-2-220022-2-20000000000000000-20200000-2-200220000000000000000
χ212222-22-2-22-2-12-1-122-12-11-1-11-22-2-2-1-1-1111-2111200-1-11133−3−300003333−3−3−3−320-200000-1-100110033−3−30000000000
χ222222-22-2-22-2-12-1-122-12-11-1-11-22-2-2-1-1-1111-2111200-1-11133−3−300003333−3−3−3−3-202000001100-1-100−3−3330000000000
χ232222-22-2-22-2-12-1-122-12-11-1-11-22-2-2-1-1-1111-2111200-1-111−3−3330000−3−3−3−3333320-200000-1-1001100−3−3330000000000
χ242222-22-2-22-2-12-1-122-12-11-1-11-22-2-2-1-1-1111-2111200-1-111−3−3330000−3−3−3−33333-202000001100-1-10033−3−30000000000
χ252222-2-22-2-22222222222-2-2-22-2-222222-2-2-2-2-2-22-200-2-2220000000000000000020-20000002200-2-200000000000000
χ262222-2-22-2-22222222222-2-2-22-2-222222-2-2-2-2-2-22-200-2-22200000000000000000-202000000-2-2002200000000000000
χ272222-2-22-2-222-122-1-12-1-1-2-2-2211-1-1-1-1-111-2111210011-1-1000033−3−333−3−333−3−3020-2000000-1-10011000033−3−3000000
χ282222-2-22-2-222-122-1-12-1-1-2-2-2211-1-1-1-1-111-2111210011-1-1000033−3−333−3−333−3−30-2020000001100-1-10000−3−333000000
χ292222-2-22-2-222-122-1-12-1-1-2-2-2211-1-1-1-1-111-2111210011-1-10000−3−333−3−333−3−333020-2000000-1-100110000−3−333000000
χ302222-2-22-2-222-122-1-12-1-1-2-2-2211-1-1-1-1-111-2111210011-1-10000−3−333−3−333−3−3330-2020000001100-1-1000033−3−3000000
χ3122-2-2222-2-2-222-2-2-2-222222-22222-22-2-222-2-2-2-2-2-22i−2i2-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ3222-2-2222-2-2-222-2-2-2-222222-22222-22-2-222-2-2-2-2-2-2−2i2i2-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ3322-2-2222-2-2-22-1-2-2112-1-122-22-1-1-11-111-1-1-2111-212i−2i-11-112i−2i2i−2i−ii−ii−ii−ii−ii−ii0000000000−i3i300−i3i300003−33−3000000
χ3422-2-2222-2-2-22-1-2-2112-1-122-22-1-1-11-111-1-1-2111-212i−2i-11-112i−2i2i−2i−ii−ii−ii−ii−ii−ii0000000000i3−i300i3−i30000−33−33000000
χ3522-2-2222-2-2-22-1-2-2112-1-122-22-1-1-11-111-1-1-2111-21−2i2i-11-11−2i2i−2i2ii−ii−ii−ii−ii−ii−i0000000000−i3i300−i3i30000−33−33000000
χ3622-2-2222-2-2-22-1-2-2112-1-122-22-1-1-11-111-1-1-2111-21−2i2i-11-11−2i2i−2i2ii−ii−ii−ii−ii−ii−i0000000000i3−i300i3−i300003−33−3000000
χ3722-2-2222-2-2-2-1211-2-2-12-1-1-11-1222-2-111-1-11-2111-22i−2i-11-11−ii−ii2i−2i2i−2i−ii−ii−ii−ii00000000−i3i300−i3i3003−33−30000000000
χ3822-2-2222-2-2-2-1211-2-2-12-1-1-11-1222-2-111-1-11-2111-22i−2i-11-11−ii−ii2i−2i2i−2i−ii−ii−ii−ii00000000i3−i300i3−i300−33−330000000000
χ3922-2-2222-2-2-2-1211-2-2-12-1-1-11-1222-2-111-1-11-2111-2−2i2i-11-11i−ii−i−2i2i−2i2ii−ii−ii−ii−i00000000−i3i300−i3i300−33−330000000000
χ4022-2-2222-2-2-2-1211-2-2-12-1-1-11-1222-2-111-1-11-2111-2−2i2i-11-11i−ii−i−2i2i−2i2ii−ii−ii−ii−i00000000i3−i300i3−i3003−33−30000000000
χ4122-2-22-2-2-22222-2-2-2-22222-22-22-2-222-2-222-2-2-2-22200-22-22000000000000000000000000000000000000000022-2-200
χ4222-2-22-2-2-22222-2-2-2-22222-22-22-2-222-2-222-2-2-2-22200-22-220000000000000000000000000000000000000000-2-22200
χ4322-2-2-22-22-2222-2-2-2-2222-22-2-2-22-222-2-2-2-222222-2002-2-22000000000000000000002-200000000002-2-220000000000
χ4422-2-2-22-22-2222-2-2-2-2222-22-2-2-22-222-2-2-2-222222-2002-2-2200000000000000000000-220000000000-222-20000000000
χ4522-2-2-22-22-22-1211-2-2-12-11-111-22-22-11111-12-1-1-1-200-111-1−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i300002-200−i3i300i3−i300-111-10000000000
χ4622-2-2-22-22-22-1211-2-2-12-11-111-22-22-11111-12-1-1-1-200-111-1−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i30000-2200i3−i300−i3i3001-1-110000000000
χ4722-2-2-22-22-22-1211-2-2-12-11-111-22-22-11111-12-1-1-1-200-111-1i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i300002-200i3−i300−i3i300-111-10000000000
χ4822-2-2-22-22-22-1211-2-2-12-11-111-22-22-11111-12-1-1-1-200-111-1i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i30000-2200−i3i300i3−i3001-1-110000000000
χ4922-2-2-2-2222-222-2-2-2-2222-2-222-2-22-22-2-2-2-22222-2200-222-200000000000000000000002-20000000000002-2-22000000
χ5022-2-2-2-2222-222-2-2-2-2222-2-222-2-22-22-2-2-2-22222-2200-222-20000000000000000000000-22000000000000-222-2000000
χ5122-2-2-2-2222-22-1-2-2112-1-1-2-22211-11-111112-1-1-1-2-1001-1-110000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000002-200−i3i300i3−i30000-111-1000000
χ5222-2-2-2-2222-22-1-2-2112-1-1-2-22211-11-111112-1-1-1-2-1001-1-110000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000-2200i3−i300−i3i300001-1-11000000
χ5322-2-2-2-2222-22-1-2-2112-1-1-2-22211-11-111112-1-1-1-2-1001-1-110000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000002-200i3−i300−i3i30000-111-1000000
χ5422-2-2-2-2222-22-1-2-2112-1-1-2-22211-11-111112-1-1-1-2-1001-1-110000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000-2200−i3i300i3−i300001-1-11000000
χ554444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2441111-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ564444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2-4-4111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ5744444-4-44-4-44-244-2-24-2-24-4-4-4-2222-2-2-2-2-24-2-2-2-420022220000000000000000000000000000000000000000000000
χ5844444-4-44-4-4-24-2-244-24-2-22224-4-4-4-2-2-2-2-2-24-2-22-40022220000000000000000000000000000000000000000000000
χ5944444-4-44-4-4-2-2-2-2-2-2-2-21-2222-222211111-2-2112200-1-1-1-10000000033-3-3-3-333000000000000000000000000000000
χ6044444-4-44-4-4-2-2-2-2-2-2-2-21-2222-222211111-2-2112200-1-1-1-100000000-3-33333-3-3000000000000000000000000000000
χ614444-44-4-44-44-244-2-24-2-2-444-42-222-2-2-222-4222-4-200-2-2220000000000000000000000000000000000000000000000
χ624444-44-4-44-4-2-2-2-2-2-2-2-212-2-222-222111-1-122-1-12-20011-1-12323−23−230000−3−3−3−33333000000000000000000000000000000
χ634444-44-4-44-4-2-2-2-2-2-2-2-212-2-222-222111-1-122-1-12-20011-1-1−23−23232300003333−3−3−3−3000000000000000000000000000000
χ644444-4-44-4-44-24-2-244-24-2222-2-4-444-2-2-2222-422-2-40022-2-20000000000000000000000000000000000000000000000
χ654444-4-44-4-44-2-2-2-2-2-2-2-21222-222-2-2111-1-122-1-1-2200-1-11100002323−23−23−3−333−3−333000000000000000000000000000000
χ664444-4-44-4-44-2-2-2-2-2-2-2-21222-222-2-2111-1-122-1-1-2200-1-1110000−23−23232333−3−333−3−3000000000000000000000000000000
χ6744-4-4444-4-4-4-2-22222-2-21-2-22-2-2-2-221-1-11122-1-1224i−4i1-11-1−2i2i−2i2i−2i2i−2i2ii−ii−ii−ii−i000000000000000000000000000000
χ6844-4-4444-4-4-4-2-22222-2-21-2-22-2-2-2-221-1-11122-1-122−4i4i1-11-12i−2i2i−2i2i−2i2i−2i−ii−ii−ii−ii000000000000000000000000000000
χ6944-4-44-4-4-4444-2-4-4224-2-24-44-4-222-2-222-2-2-42224-2002-22-20000000000000000000000000000000000000000000000
χ7044-4-44-4-4-444-2422-4-4-24-2-22-224-4-44-222-2-22-422-24002-22-20000000000000000000000000000000000000000000000
χ7144-4-44-4-4-444-2-22222-2-21-22-22-222-21-1-11122-1-1-2-200-11-11000000003i−3i−3i3i−3i3i3i−3i000000000000000000000000000000
χ7244-4-44-4-4-444-2-22222-2-21-22-22-222-21-1-11122-1-1-2-200-11-1100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000
χ7344-4-4-44-44-444-2-4-4224-2-2-44-4-42-22-2-222224-2-2-24200-222-20000000000000000000000000000000000000000000000
χ7444-4-4-44-44-44-2-22222-2-212-2222-22-21-1-1-1-1-2-211-22001-1-11−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000
χ7544-4-4-44-44-44-2-22222-2-212-2222-22-21-1-1-1-1-2-211-22001-1-112i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000
χ7644-4-4-4-4444-4-2422-4-4-24-222-2-2-4-44-4-22222-24-2-224002-2-220000000000000000000000000000000000000000000000
χ7744-4-4-4-4444-4-2-22222-2-2122-2-222-221-1-1-1-1-2-2112-200-111-10000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000
χ7844-4-4-4-4444-4-2-22222-2-2122-2-222-221-1-1-1-1-2-2112-200-111-100002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000
χ794-44-4000000444-44-4-4-4400000000-44-40000000000000000000000000000000000000000000000000000002-22-200
χ804-44-4000000444-44-4-4-4400000000-44-4000000000000000000000000000000000000000000000000000000-22-2200
χ814-4-4400000044-44-44-4-4400000000-4-440000000000000000000000000000000000000000000000000000002-2-2200
χ824-4-4400000044-44-44-4-4400000000-4-44000000000000000000000000000000000000000000000000000000-222-200
χ838-88-80000008-48-8-44-84-4000000004-44000000000000000000000000000000000000000000000000000000000000
χ848-88-8000000-48-448-84-8-4000000004-44000000000000000000000000000000000000000000000000000000000000
χ858-88-8000000-4-4-44-4444200000000-22-26-6006-6000000000000000000000000000000000000000000000000000000
χ868-88-8000000-4-4-44-4444200000000-22-2-6600-66000000000000000000000000000000000000000000000000000000
χ878-8-880000008-4-884-4-84-40000000044-4000000000000000000000000000000000000000000000000000000000000
χ888-8-88000000-484-4-884-8-40000000044-4000000000000000000000000000000000000000000000000000000000000
χ898-8-88000000-4-44-44-444200000000-2-226-600-66000000000000000000000000000000000000000000000000000000
χ908-8-88000000-4-44-44-444200000000-2-22-66006-6000000000000000000000000000000000000000000000000000000

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