Finite Group Databasebeta

← Group #13147901

Character table — Group #13147901

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222444444666666666666666666669999121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order122234444446661212121212123366666612121212121212121212121222223666121212121212121212121212121212121212444444666612121212121212121212121222224444666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ51111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1
χ61111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11
χ71111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-111-1-11
χ81111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-111-1-111-1-111-1
χ911111-1-111-1-1111-1-111-1-111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1-11-111-11-1-11-11
χ1011111-1-111-1-1111-1-111-1-111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-111-11-1-11-111-11-1
χ1111111-1-111-1-1111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-11-111-11-1-11-111-1
χ1211111-1-111-1-1111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-111-11-1-11-111-11-1-11
χ1311111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1411111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1511111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111
χ1611111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ17222222222222222222222-1-1-1222-12222222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022002200-1-100-1-1
χ18222222222222222222222-1-1-1222-12222222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-200-2-200110011
χ1922222222222222222222-1222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222222222222222-1222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ212222222-2-2-2-222222-2-2-2-22-1-1-1222-12222-2-2-2-2-2-2-2-20000-1-1-1-1-1-11111-1-1-1-1111111110000000000000000000000002-2002-200-1100-11
χ222222222-2-2-2-222222-2-2-2-22-1-1-1222-12222-2-2-2-2-2-2-2-20000-1-1-1-1-1-11111-1-1-1-111111111000000000000000000000000-2200-22001-1001-1
χ232222222-2-2-2-222222-2-2-2-2-1222-1-1-12-1-1-1-1111111112222-1-1-1-122-2-2-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ242222222-2-2-2-222222-2-2-2-2-1222-1-1-12-1-1-1-111111111-2-2-2-2-1-1-1-122-2-2-2-2-1-1-1-111111111-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222-2-222-2-2222-2-222-2-22-1-1-1222-1-2-2-2-22222-2-2-2-20000-1-1-1-111-1-1111111-1-1-1-111110000000000000000000000002-200-2200-11001-1
χ2622222-2-222-2-2222-2-222-2-22-1-1-1222-1-2-2-2-22222-2-2-2-20000-1-1-1-111-1-1111111-1-1-1-11111000000000000000000000000-22002-2001-100-11
χ2722222-2-222-2-2222-2-222-2-2-1222-1-1-121111-1-1-1-111112222-1-1-1-1-2-222-2-21111-1-1-1-11111-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2822222-2-222-2-2222-2-222-2-2-1222-1-1-121111-1-1-1-11111-2-2-2-2-1-1-1-1-2-222-2-21111-1-1-1-1111122-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ2922222-2-2-2-222222-2-2-2-2222-1-1-1222-1-2-2-2-2-2-2-2-222220000-1-1-1-11111-1-111111111-1-1-1-10000000000000000000000002200-2-200-1-10011
χ3022222-2-2-2-222222-2-2-2-2222-1-1-1222-1-2-2-2-2-2-2-2-222220000-1-1-1-11111-1-111111111-1-1-1-1000000000000000000000000-2-20022001100-1-1
χ3122222-2-2-2-222222-2-2-2-222-1222-1-1-1211111111-1-1-1-12222-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3222222-2-2-2-222222-2-2-2-222-1222-1-1-1211111111-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-22211111111-1-1-1-12222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3322-2-22002i−2i002-2-2002i−2i00222-22-2-2-200002i2i−2i−2i000022-2-222-2-2002i−2i0000002i2i−2i−2i0000002i−2i0022-2-200002i2i−2i−2i00000000000000000000
χ3422-2-22002i−2i002-2-2002i−2i00222-22-2-2-200002i2i−2i−2i0000-2-22222-2-2002i−2i0000002i2i−2i−2i000000−2i2i00-2-2220000−2i−2i2i2i00000000000000000000
χ3522-2-22002i−2i002-2-2002i−2i00-122-2-111-2−i3−i3i3i3−i−iii33−3−322-2-2-1-111002i−2i00−i3−i3i3i3−i−iii33−3−3002i−2i00-1-111−i3−i3i3i3−i−iii33−3−30000000000000000
χ3622-2-22002i−2i002-2-2002i−2i00-122-2-111-2−i3−i3i3i3−i−iii33−3−3-2-222-1-111002i−2i00−i3−i3i3i3−i−iii33−3−300−2i2i0011-1-1i3i3−i3−i3ii−i−i−3−3330000000000000000
χ3722-2-22002i−2i002-2-2002i−2i00-122-2-111-2i3i3−i3−i3−i−iii−3−33322-2-2-1-111002i−2i00i3i3−i3−i3−i−iii−3−333002i−2i00-1-111i3i3−i3−i3−i−iii−3−3330000000000000000
χ3822-2-22002i−2i002-2-2002i−2i00-122-2-111-2i3i3−i3−i3−i−iii−3−333-2-222-1-111002i−2i00i3i3−i3−i3−i−iii−3−33300−2i2i0011-1-1−i3−i3i3i3ii−i−i33−3−30000000000000000
χ3922-2-2200−2i2i002-2-200−2i2i00222-22-2-2-20000−2i−2i2i2i000022-2-222-2-200−2i2i000000−2i−2i2i2i000000−2i2i0022-2-20000−2i−2i2i2i00000000000000000000
χ4022-2-2200−2i2i002-2-200−2i2i00222-22-2-2-20000−2i−2i2i2i0000-2-22222-2-200−2i2i000000−2i−2i2i2i0000002i−2i00-2-22200002i2i−2i−2i00000000000000000000
χ4122-2-2200−2i2i002-2-200−2i2i00-122-2-111-2−i3−i3i3i3ii−i−i−3−33322-2-2-1-11100−2i2i00−i3−i3i3i3ii−i−i−3−33300−2i2i00-1-111−i3−i3i3i3ii−i−i−3−3330000000000000000
χ4222-2-2200−2i2i002-2-200−2i2i00-122-2-111-2−i3−i3i3i3ii−i−i−3−333-2-222-1-11100−2i2i00−i3−i3i3i3ii−i−i−3−333002i−2i0011-1-1i3i3−i3−i3−i−iii33−3−30000000000000000
χ4322-2-2200−2i2i002-2-200−2i2i00-122-2-111-2i3i3−i3−i3ii−i−i33−3−322-2-2-1-11100−2i2i00i3i3−i3−i3ii−i−i33−3−300−2i2i00-1-111i3i3−i3−i3ii−i−i33−3−30000000000000000
χ4422-2-2200−2i2i002-2-200−2i2i00-122-2-111-2i3i3−i3−i3ii−i−i33−3−3-2-222-1-11100−2i2i00i3i3−i3−i3ii−i−i33−3−3002i−2i0011-1-1−i3−i3i3i3−i−iii−3−3330000000000000000
χ452-22-222i−2i0000-22-22i−2i000022-22-22-2-22i−2i2i−2i000000002-22-22-22-22i−2i00002i−2i2i−2i000000002i−2i00002-22-22i−2i2i−2i000000000000000000000000
χ462-22-222i−2i0000-22-22i−2i000022-22-22-2-22i−2i2i−2i00000000-22-222-22-22i−2i00002i−2i2i−2i00000000−2i2i0000-22-22−2i2i−2i2i000000000000000000000000
χ472-22-222i−2i0000-22-22i−2i0000-12-221-11-2−ii−ii−i3i3−i3i33−33−32-22-2-11-112i−2i0000−ii−ii−i3i3−i3i33−33−32i−2i0000-11-11−ii−ii−i3i3−i3i33−33−30000000000000000
χ482-22-222i−2i0000-22-22i−2i0000-12-221-11-2−ii−ii−i3i3−i3i33−33−3-22-22-11-112i−2i0000−ii−ii−i3i3−i3i33−33−3−2i2i00001-11-1i−ii−ii3−i3i3−i3−33−330000000000000000
χ492-22-222i−2i0000-22-22i−2i0000-12-221-11-2−ii−iii3−i3i3−i3−33−332-22-2-11-112i−2i0000−ii−iii3−i3i3−i3−33−332i−2i0000-11-11−ii−iii3−i3i3−i3−33−330000000000000000
χ502-22-222i−2i0000-22-22i−2i0000-12-221-11-2−ii−iii3−i3i3−i3−33−33-22-22-11-112i−2i0000−ii−iii3−i3i3−i3−33−33−2i2i00001-11-1i−ii−i−i3i3−i3i33−33−30000000000000000
χ512-22-22−2i2i0000-22-2−2i2i000022-22-22-2-2−2i2i−2i2i000000002-22-22-22-2−2i2i0000−2i2i−2i2i00000000−2i2i00002-22-2−2i2i−2i2i000000000000000000000000
χ522-22-22−2i2i0000-22-2−2i2i000022-22-22-2-2−2i2i−2i2i00000000-22-222-22-2−2i2i0000−2i2i−2i2i000000002i−2i0000-22-222i−2i2i−2i000000000000000000000000
χ532-22-22−2i2i0000-22-2−2i2i0000-12-221-11-2i−ii−i−i3i3−i3i3−33−332-22-2-11-11−2i2i0000i−ii−i−i3i3−i3i3−33−33−2i2i0000-11-11i−ii−i−i3i3−i3i3−33−330000000000000000
χ542-22-22−2i2i0000-22-2−2i2i0000-12-221-11-2i−ii−i−i3i3−i3i3−33−33-22-22-11-11−2i2i0000i−ii−i−i3i3−i3i3−33−332i−2i00001-11-1−ii−iii3−i3i3−i33−33−30000000000000000
χ552-22-22−2i2i0000-22-2−2i2i0000-12-221-11-2i−ii−ii3−i3i3−i33−33−32-22-2-11-11−2i2i0000i−ii−ii3−i3i3−i33−33−3−2i2i0000-11-11i−ii−ii3−i3i3−i33−33−30000000000000000
χ562-22-22−2i2i0000-22-2−2i2i0000-12-221-11-2i−ii−ii3−i3i3−i33−33−3-22-22-11-11−2i2i0000i−ii−ii3−i3i3−i33−33−32i−2i00001-11-1−ii−ii−i3i3−i3i3−33−330000000000000000
χ572-2-22200002-2-2-2200002-222-2-2-2-222000000002-2-222-2-222-2-2200002-2000000002-2-2200002-22-2-22000000002-2-220000000000000000
χ582-2-22200002-2-2-2200002-222-2-2-2-222000000002-2-22-222-22-2-2200002-2000000002-2-220000-22-222-200000000-222-20000000000000000
χ592-2-22200002-2-2-2200002-2-12-2-211-123−3−33−333−3-111-12-2-22-111-100002-23−3−33−333−3-111-100002-2-111-13−3−33−333−3-111-10000000000000000
χ602-2-22200002-2-2-2200002-2-12-2-211-123−3−33−333−3-111-1-222-2-111-100002-23−3−33−333−3-111-10000-221-1-11−333−33−3−331-1-110000000000000000
χ612-2-22200002-2-2-2200002-2-12-2-211-12−333−33−3−33-111-12-2-22-111-100002-2−333−33−3−33-111-100002-2-111-1−333−33−3−33-111-10000000000000000
χ622-2-22200002-2-2-2200002-2-12-2-211-12−333−33−3−33-111-1-222-2-111-100002-2−333−33−3−33-111-10000-221-1-113−3−33−333−31-1-110000000000000000
χ632-2-2220000-22-2-220000-2222-2-2-2-22200000000-222-22-2-222-2-220000-2200000000-222-20000-222-2-2200000000-222-20000000000000000
χ642-2-2220000-22-2-220000-2222-2-2-2-22200000000-222-2-222-22-2-220000-2200000000-222-200002-2-222-2000000002-2-220000000000000000
χ652-2-2220000-22-2-220000-22-12-2-211-123−3−333−3−331-1-112-2-22-111-10000-223−3−333−3−331-1-110000-22-111-13−3−333−3−331-1-110000000000000000
χ662-2-2220000-22-2-220000-22-12-2-211-123−3−333−3−331-1-11-222-2-111-10000-223−3−333−3−331-1-1100002-21-1-11−333−3−333−3-111-10000000000000000
χ672-2-2220000-22-2-220000-22-12-2-211-12−333−3−333−31-1-112-2-22-111-10000-22−333−3−333−31-1-110000-22-111-1−333−3−333−31-1-110000000000000000
χ682-2-2220000-22-2-220000-22-12-2-211-12−333−3−333−31-1-11-222-2-111-10000-22−333−3−333−31-1-1100002-21-1-113−3−333−3−33-111-10000000000000000
χ6944444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200001111-2-2-2-2-2-211111111111100000000000000000000000000000000000000
χ704444444-4-4-4-444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-22222222200001111-2-222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ7144444-4-444-4-4444-4-444-4-4-2-2-2-2-2-2-2-22222-2-2-2-222220000111122-2-222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000
χ7244444-4-4-4-444444-4-4-4-444-2-2-2-2-2-2-2-222222222-2-2-2-2000011112222-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000
χ7344-4-44004i−4i004-4-4004i−4i004-2-224-4-4200004i4i−4i−4i00000000-2-22200−2i2i000000−2i−2i2i2i000000000000000000000000000000000000000000
χ7444-4-44004i−4i004-4-4004i−4i00-2-2-22-2222−2i3−2i32i32i3−2i−2i2i2i2323−23−23000011-1-100−2i2i00i3i3−i3−i3ii−i−i−3−33300000000000000000000000000000000000000
χ7544-4-44004i−4i004-4-4004i−4i00-2-2-22-22222i32i3−2i3−2i3−2i−2i2i2i−23−232323000011-1-100−2i2i00−i3−i3i3i3ii−i−i33−3−300000000000000000000000000000000000000
χ7644-4-4400−4i4i004-4-400−4i4i004-2-224-4-420000−4i−4i4i4i00000000-2-222002i−2i0000002i2i−2i−2i000000000000000000000000000000000000000000
χ7744-4-4400−4i4i004-4-400−4i4i00-2-2-22-2222−2i3−2i32i32i32i2i−2i−2i−23−232323000011-1-1002i−2i00i3i3−i3−i3−i−iii33−3−300000000000000000000000000000000000000
χ7844-4-4400−4i4i004-4-400−4i4i00-2-2-22-22222i32i3−2i3−2i32i2i−2i−2i2323−23−23000011-1-1002i−2i00−i3−i3i3i3−i−iii−3−33300000000000000000000000000000000000000
χ794-44-444i−4i0000-44-44i−4i00004-22-2-44-424i−4i4i−4i000000000000-22-22−2i2i0000−2i2i−2i2i0000000000000000000000000000000000000000000000
χ804-44-444i−4i0000-44-44i−4i0000-2-22-22-222−2i2i−2i2i−2i32i3−2i32i323−2323−2300001-11-1−2i2i0000i−ii−ii3−i3i3−i3−33−3300000000000000000000000000000000000000
χ814-44-444i−4i0000-44-44i−4i0000-2-22-22-222−2i2i−2i2i2i3−2i32i3−2i3−2323−232300001-11-1−2i2i0000i−ii−i−i3i3−i3i33−33−300000000000000000000000000000000000000
χ824-44-44−4i4i0000-44-4−4i4i00004-22-2-44-42−4i4i−4i4i000000000000-22-222i−2i00002i−2i2i−2i0000000000000000000000000000000000000000000000
χ834-44-44−4i4i0000-44-4−4i4i0000-2-22-22-2222i−2i2i−2i−2i32i3−2i32i3−2323−232300001-11-12i−2i0000−ii−iii3−i3i3−i33−33−300000000000000000000000000000000000000
χ844-44-44−4i4i0000-44-4−4i4i0000-2-22-22-2222i−2i2i−2i2i3−2i32i3−2i323−2323−2300001-11-12i−2i0000−ii−ii−i3i3−i3i3−33−3300000000000000000000000000000000000000
χ854-4-44400004-4-4-4400004-44-222-4-44-2000000004-4-440000-222-20000-2200000000-222-200000000000000000000000000000000000000
χ864-4-44400004-4-4-4400004-4-2-22222-2-223−23−2323−232323−23-222-200001-1-110000-22−333−33−3−331-1-1100000000000000000000000000000000000000
χ874-4-44400004-4-4-4400004-4-2-22222-2-2−232323−2323−23−2323-222-200001-1-110000-223−3−33−333−31-1-1100000000000000000000000000000000000000
χ884-4-4440000-44-4-440000-444-222-4-44-200000000-444-40000-222-200002-2000000002-2-2200000000000000000000000000000000000000
χ894-4-4440000-44-4-440000-44-2-22222-2-223−23−232323−23−23232-2-2200001-1-1100002-2−333−3−333−3-111-100000000000000000000000000000000000000
χ904-4-4440000-44-4-440000-44-2-22222-2-2−232323−23−232323−232-2-2200001-1-1100002-23−3−333−3−33-111-100000000000000000000000000000000000000
χ916666-3666666-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000022002200-1-100-1-100
χ926666-3666666-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000-2-200-2-20011001100
χ936666-366-6-6-6-6-3-3-3-3-33333000000000000000000000000000000000000000000000000000000000000000000002-2002-200-1100-1100
χ946666-366-6-6-6-6-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000-2200-22001-1001-100
χ956666-3-6-666-6-6-3-3-333-3-333000000000000000000000000000000000000000000000000000000000000000000002-200-2200-11001-100
χ966666-3-6-666-6-6-3-3-333-3-33300000000000000000000000000000000000000000000000000000000000000000000-22002-2001-100-1100
χ976666-3-6-6-6-666-3-3-33333-3-3000000000000000000000000000000000000000000000000000000000000000000002200-2-200-1-1001100
χ986666-3-6-6-6-666-3-3-33333-3-300000000000000000000000000000000000000000000000000000000000000000000-2-20022001100-1-100
χ991212-12-12-60012i−12i00-66600−6i6i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1001212-12-12-600−12i12i00-666006i−6i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10112-1212-12-612i−12i00006-66−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10212-1212-12-6−12i12i00006-666i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-1212-6000012-1266-60000-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-1212-60000-121266-600006-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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