Finite Group Databasebeta

← Group #11792807

Character table — Group #11792807

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222222233666666666636666666666666666644666612121212121212121212121212121212222266666666224444666612121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-111-1-1-1-111-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-11111-1-111
χ922222222222-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-120200000-1-1-1-10000000000
χ1022222222222-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-20-20000011110000000000
χ1122222222222-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-1-20-20000011110000000000
χ1222222222222-122-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-2-2-211111111-2-2-2-21111111120200000-1-1-1-10000000000
χ132222222222-12-1-1222222-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000020222-1-10000-1-1-1-1-1-10000
χ142222222222-12-1-1222222-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000-20-2-2-21100001111110000
χ152222222222-12-1-1222222-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-21111111111110000000000000202-2-2-1-10000-1-111110000
χ162222222222-12-1-1222222-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-21111111111110000000000000-20-22211000011-1-1-1-10000
χ1722222-2-22-2-222222222222222-2-2-2-2-2-2-222222222-200-2-2-2-2000000000000000000000000000020-20000022-2-20000000000
χ1822222-2-22-2-222222222222222-2-2-2-2-2-2-222222222-200-2-2-2-20000000000000000000000000000-20200000-2-2220000000000
χ1922222-2-22-2-22-122-1-1-1-1-1-12-1-12-2-2-21111-1-1-1-1-12-1-1-2001111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i320-200000-1-1110000000000
χ2022222-2-22-2-22-122-1-1-1-1-1-12-1-12-2-2-21111-1-1-1-1-12-1-1-2001111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i3-2020000011-1-10000000000
χ2122222-2-22-2-22-122-1-1-1-1-1-12-1-12-2-2-21111-1-1-1-1-12-1-1-2001111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i3-2020000011-1-10000000000
χ2222222-2-22-2-22-122-1-1-1-1-1-12-1-12-2-2-21111-1-1-1-1-12-1-1-2001111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i320-200000-1-1110000000000
χ232222-22-2-22-2222222-2-2-2-2222-22-2-222-2-2222-2-2-2-2-220022-2-200000000000000000000000000000000000000000000002-200
χ242222-22-2-22-2222222-2-2-2-2222-22-2-222-2-2222-2-2-2-2-220022-2-20000000000000000000000000000000000000000000000-2200
χ252222-2-22-2-22222222-2-2-2-2222-2-222-2-222222-2-2-2-2-2-200-2-2220000000000000000000000000000020-200220000-2-200000000
χ262222-2-22-2-22222222-2-2-2-2222-2-222-2-222222-2-2-2-2-2-200-2-22200000000000000000000000000000-20200-2-200002200000000
χ272222-2-22-2-22-12-1-122-2-2-2-2-12-111-1-1-2-222-1-1-11111110011-1-1000033−3−333−3−333−3−3000000000000020-200-1-100001133−3−30000
χ282222-2-22-2-22-12-1-122-2-2-2-2-12-111-1-1-2-222-1-1-11111110011-1-1000033−3−333−3−333−3−30000000000000-20200110000-1-1−3−3330000
χ292222-2-22-2-22-12-1-122-2-2-2-2-12-111-1-1-2-222-1-1-11111110011-1-10000−3−333−3−333−3−333000000000000020-200-1-1000011−3−3330000
χ302222-2-22-2-22-12-1-122-2-2-2-2-12-111-1-1-2-222-1-1-11111110011-1-10000−3−333−3−333−3−3330000000000000-20200110000-1-133−3−30000
χ3122-2-2222-2-2-222-2-2-2-222-2-2222222-22-22-22-2-222-2-2-2-2002-22-2000000000000000000000000000000002i−2i000000002i−2i2i−2i0000
χ3222-2-2222-2-2-222-2-2-2-222-2-2222222-22-22-22-2-222-2-2-2-2002-22-200000000000000000000000000000000−2i2i00000000−2i2i−2i2i0000
χ3322-2-2222-2-2-2-1211-2-222-2-2-12-1-1-1-112-22-2-111-1-1111100-11-1100003−33−33−33−33−33−300000000000000002i−2i−i3i30000−i3i3−ii−ii0000
χ3422-2-2222-2-2-2-1211-2-222-2-2-12-1-1-1-112-22-2-111-1-1111100-11-1100003−33−33−33−33−33−30000000000000000−2i2ii3−i30000i3−i3i−ii−i0000
χ3522-2-2222-2-2-2-1211-2-222-2-2-12-1-1-1-112-22-2-111-1-1111100-11-110000−33−33−33−33−33−3300000000000000002i−2ii3−i30000i3−i3−ii−ii0000
χ3622-2-2222-2-2-2-1211-2-222-2-2-12-1-1-1-112-22-2-111-1-1111100-11-110000−33−33−33−33−33−330000000000000000−2i2i−i3i30000−i3i3i−ii−i0000
χ3722-2-22-2-2-22222-2-2-2-222-2-22222-2-22-22-222-2-222-2-2-2200-22-220000000000000000000000000000000000000000000000002-2
χ3822-2-22-2-2-22222-2-2-2-222-2-22222-2-22-22-222-2-222-2-2-2200-22-22000000000000000000000000000000000000000000000000-22
χ3922-2-2-22-22-2222-2-2-2-2-2-222222-22-222-2-222-2-2-2-2222-2002-2-22000000000000000022-2-222-2-222-2-20000000000000000000000
χ4022-2-2-22-22-2222-2-2-2-2-2-222222-22-222-2-222-2-2-2-2222-2002-2-220000000000000000-2-222-2-222-2-2220000000000000000000000
χ4122-2-2-22-22-222-1-2-21111-1-12-1-1-22-22-111-1-111112-1-1-200-111-1−i3i3−i3i30000−i3i3i3−i3i3−i3−i3i322-2-2-1-111-1-11100000000−i3i3−i3i30000000000
χ4222-2-2-22-22-222-1-2-21111-1-12-1-1-22-22-111-1-111112-1-1-200-111-1−i3i3−i3i30000−i3i3i3−i3i3−i3−i3i3-2-22211-1-111-1-100000000i3−i3i3−i30000000000
χ4322-2-2-22-22-222-1-2-21111-1-12-1-1-22-22-111-1-111112-1-1-200-111-1i3−i3i3−i30000i3−i3−i3i3−i3i3i3−i322-2-2-1-111-1-11100000000i3−i3i3−i30000000000
χ4422-2-2-22-22-222-1-2-21111-1-12-1-1-22-22-111-1-111112-1-1-200-111-1i3−i3i3−i30000i3−i3−i3i3−i3i3i3−i3-2-22211-1-111-1-100000000−i3i3−i3i30000000000
χ4522-2-2-2-2222-222-2-2-2-2-2-222222-2-22-2-222-22-2-2-2-222222-2-222-22-2-222-2-222-2-222-2-220000000000000000000000000000000000
χ4622-2-2-2-2222-222-2-2-2-2-2-222222-2-22-2-222-22-2-2-2-22222-22-222-2-222-2-222-2-222-2-222-20000000000000000000000000000000000
χ4722-2-2-2-2222-22-1-2-21111-1-12-1-1-2-22-21-1-11-111112-1-122-21-1-11-111-12-2-22-111-1-111-10000−i3−i3i3i3i3i3−i3−i300000000−i3i3i3−i30000000000
χ4822-2-2-2-2222-22-1-2-21111-1-12-1-1-2-22-21-1-11-111112-1-122-21-1-11-111-12-2-22-111-1-111-10000i3i3−i3−i3−i3−i3i3i300000000i3−i3−i3i30000000000
χ4922-2-2-2-2222-22-1-2-21111-1-12-1-1-2-22-21-1-11-111112-1-12-221-1-111-1-11-222-21-1-111-1-110000−i3−i3i3i3i3i3−i3−i300000000i3−i3−i3i30000000000
χ5022-2-2-2-2222-22-1-2-21111-1-12-1-1-2-22-21-1-11-111112-1-12-221-1-111-1-11-222-21-1-111-1-110000i3i3−i3−i3−i3−i3i3i300000000−i3i3i3−i30000000000
χ5122-2-2-2-2222-2-1211-2-2-2-222-12-111-11-222-2-11111-1-1-1-12-21-1-112-2-22-111-1-111-1-111-1000000000000000000−i3i30000i3−i3−i3i3i3−i30000
χ5222-2-2-2-2222-2-1211-2-2-2-222-12-111-11-222-2-11111-1-1-1-12-21-1-112-2-22-111-1-111-1-111-1000000000000000000i3−i30000−i3i3i3−i3−i3i30000
χ5322-2-2-2-2222-2-1211-2-2-2-222-12-111-11-222-2-11111-1-1-1-1-221-1-11-222-21-1-111-1-111-1-11000000000000000000−i3i30000i3−i3i3−i3−i3i30000
χ5422-2-2-2-2222-2-1211-2-2-2-222-12-111-11-222-2-11111-1-1-1-1-221-1-11-222-21-1-111-1-111-1-11000000000000000000i3−i30000−i3i3−i3i3i3−i30000
χ554444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2441111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ564444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2-4-4111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-44-4-4-24-2-2444444-24-2-2222-4-4-4-4-2-2-2-2-2-2-2-2200222200000000000000000000000000000000000000000000000000
χ5844444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-21-2222222211111-211200-1-1-1-1−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ5944444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-21-2222222211111-211200-1-1-1-12i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ604444-44-4-44-44-244-2-222224-2-2-44-4-4-2-222-2-2-222-422400-2-22200000000000000000000000000000000000000000000000000
χ614444-44-4-44-4-24-2-244-4-4-4-4-24-22-22244-4-4-2-2-222222-200-2-22200000000000000000000000000000000000000000000000000
χ624444-44-4-44-4-2-2-2-2-2-22222-2-212-222-2-222111-1-12-1-1-20011-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ634444-44-4-44-4-2-2-2-2-2-22222-2-212-222-2-222111-1-12-1-1-20011-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
χ644444-4-44-4-444-244-2-222224-2-2-4-44422-2-2-2-2-222-422-40022-2-200000000000000000000000000000000000000000000000000
χ654444-4-44-4-44-2-2-2-2-2-22222-2-2122-2-222-2-2111-1-12-1-1200-1-11100002323−23−23−3−333−3−3330000000000000000000000000000000000
χ664444-4-44-4-44-2-2-2-2-2-22222-2-2122-2-222-2-2111-1-12-1-1200-1-1110000−23−23232333−3−333−3−30000000000000000000000000000000000
χ6744-4-4444-4-4-44-2-4-422-2-2224-2-2444-4-22-22-222-2-2-422-400-22-2200000000000000000000000000000000000000000000000000
χ6844-4-4444-4-4-4-2-22222-2-222-2-21-2-2-22-22-221-1-1112-1-12001-11-1000023−2323−23−33−33−33−330000000000000000000000000000000000
χ6944-4-4444-4-4-4-2-22222-2-222-2-21-2-2-22-22-221-1-1112-1-12001-11-10000−2323−23233−33−33−33−30000000000000000000000000000000000
χ7044-4-44-4-4-4444-2-4-422-2-2224-2-24-4-442-22-2-222-2-2-4224002-22-200000000000000000000000000000000000000000000000000
χ7144-4-44-4-4-444-2422-4-444-4-4-24-2-222-2-44-44-222-2-2222-2002-22-200000000000000000000000000000000000000000000000000
χ7244-4-44-4-4-444-2-22222-2-222-2-21-222-22-22-21-1-1112-1-1-200-11-11000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000
χ7344-4-44-4-4-444-2-22222-2-222-2-21-222-22-22-21-1-1112-1-1-200-11-1100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ7444-4-4-44-44-44-2422-4-4-4-444-24-22-22-24-4-44-22222-2-2-2200-222-200000000000000000000000000000000000000000000000000
χ7544-4-4-44-44-44-2-2222222-2-2-2-212-22-2-222-21-1-1-1-1-2112001-1-11−2i32i3−2i32i30000i3−i3−i3i3−i3i3i3−i30000000000000000000000000000000000
χ7644-4-4-44-44-44-2-2222222-2-2-2-212-22-2-222-21-1-1-1-1-2112001-1-112i3−2i32i3−2i30000−i3i3i3−i3i3−i3−i3i30000000000000000000000000000000000
χ7744-4-4-4-4444-4-2-2222222-2-2-2-2122-222-2-221-1-1-1-1-211-24-4-111-1-222-2-222-21-1-111-1-110000000000000000000000000000000000
χ7844-4-4-4-4444-4-2-2222222-2-2-2-2122-222-2-221-1-1-1-1-211-2-44-111-12-2-222-2-22-111-1-111-10000000000000000000000000000000000
χ794-44-4000000444-44-40000-4-4400000000-44-400000000000000000000000000002-22-22-22-22-22-20000000000000000000000
χ804-44-4000000444-44-40000-4-4400000000-44-40000000000000000000000000000-22-22-22-22-22-220000000000000000000000
χ814-44-40000004-24-4-22−2i32i3−2i32i3-42-2000000002-22−2i32i30−2i32i3000000000000000000000002-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i30000000000000000000000
χ824-44-40000004-24-4-22−2i32i3−2i32i3-42-2000000002-22−2i32i30−2i32i300000000000000000000000-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i30000000000000000000000
χ834-44-40000004-24-4-222i3−2i32i3−2i3-42-2000000002-222i3−2i302i3−2i3000000000000000000000002-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000000000000000000000
χ844-44-40000004-24-4-222i3−2i32i3−2i3-42-2000000002-222i3−2i302i3−2i300000000000000000000000-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000000000000000000000
χ854-4-4400000044-44-440000-4-4400000000-4-4400000000000000000000000000002-2-222-2-222-2-220000000000000000000000
χ864-4-4400000044-44-440000-4-4400000000-4-440000000000000000000000000000-222-2-222-2-222-20000000000000000000000
χ874-4-440000004-2-442-2−2i32i32i3−2i3-42-20000000022-2−2i32i302i3−2i3000000000000000000000002-2-22−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i30000000000000000000000
χ884-4-440000004-2-442-2−2i32i32i3−2i3-42-20000000022-2−2i32i302i3−2i300000000000000000000000-222-21+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i30000000000000000000000
χ894-4-440000004-2-442-22i3−2i3−2i32i3-42-20000000022-22i3−2i30−2i32i3000000000000000000000002-2-22−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i30000000000000000000000
χ904-4-440000004-2-442-22i3−2i3−2i32i3-42-20000000022-22i3−2i30−2i32i300000000000000000000000-222-21−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i30000000000000000000000
χ918-88-8000000-48-448-800004-8-4000000004-4400000000000000000000000000000000000000000000000000000000000000
χ928-88-8000000-4-4-44-44−4i34i3−4i34i344200000000-22-22i3−2i302i3−2i3000000000000000000000000000000000000000000000000000000000
χ938-88-8000000-4-4-44-444i3−4i34i3−4i344200000000-22-2−2i32i30−2i32i3000000000000000000000000000000000000000000000000000000000
χ948-8-88000000-484-4-8800004-8-40000000044-400000000000000000000000000000000000000000000000000000000000000
χ958-8-88000000-4-44-44-4−4i34i34i3−4i344200000000-2-222i3−2i30−2i32i3000000000000000000000000000000000000000000000000000000000
χ968-8-88000000-4-44-44-44i3−4i3−4i34i344200000000-2-22−2i32i302i3−2i3000000000000000000000000000000000000000000000000000000000

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