Finite Group Databasebeta

← Group #11868975

Character table — Group #11868975

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12222233444466666666663666666666121212121212121244121212121212121212121212121212121212121222224444888824242424242424246666881212121224242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1
χ91111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-11111-1-1-1-1111-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11-111-1-111-1-11-11-11-1
χ101111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-11111-1-1-1-1111-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-11-1-111-1-111-11-11-11
χ111111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-11111-1-1-1-1111-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1111-111-1-111-1-1-11-11-11
χ121111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-11111-1-1-1-1111-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-11-1-111-1-1111-11-11-1
χ131111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-11111-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1111111-1-1-1111-1-1-1-1111-11-1-11
χ141111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-11111-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111111-1-11-1-1-11111-1-1-11-111-1
χ151111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-11111-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-111-1111-1-1-1-111-11-111-1
χ161111-1-1111-1-111-1-1-1-1111111-1-11-1-1-1-11111-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-1-1111-1-1-11111-1-11-11-1-11
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000002-2-2200
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000000000-222-200
χ192222222-12222-1-1-1-1-12-1-122-122-1-1-1-1-1-1-12-122-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200002222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222222-12222-1-1-1-1-12-1-122-122-1-1-1-1-1-1-12-122-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-21111111111110000000000000000
χ212222222-12222-1-1-1-1-12-1-122-122-1-1-1-1-1-1-12-122-1-12-1-2-21111-2-2-2-2-1-1-1-11111111122220000-2-2-2-211111111-1-1-1-10000000000000000
χ222222222-12222-1-1-1-1-12-1-122-122-1-1-1-1-1-1-12-122-1-12-1-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-200002222-1-1-1-1-1-1-1-111110000000000000000
χ23222222-12222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-12-1-122-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000000022-1-1-1-1-1-1-1-1000000
χ24222222-12222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-12-1-122-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000000000-2-211111111000000
χ25222222-12222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-12-1-122-12-2-2-2-2-2-21111-1-1-1-111111111000022220000000000000000-2-2-1-1-1-11111000000
χ26222222-12222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-12-1-122-12-2-2-2-2-2-21111-1-1-1-1111111110000-2-2-2-20000000000000000221111-1-1-1-1000000
χ272222-2-222-222-22-2-2-2-2222222-2-22-2-2-2-222-2-22222-2-20000000000-2-22200000000000000000000000000000000000000000022-2-200
χ282222-2-222-222-22-2-2-2-2222222-2-22-2-2-2-222-2-22222-2-20000000000-2-222000000000000000000000000000000000000000000-2-22200
χ292222-2-22-12-2-22-111112-1-122-1-2-2-11111-1-12-1-2-2112-12-2-1-11122-2-2-1-111-1-1-1-1111122-2-2000022-2-2-1-1-1-11111-1-1110000000000000000
χ302222-2-22-12-2-22-111112-1-122-1-2-2-11111-1-12-1-2-2112-12-2-1-11122-2-2-1-111-1-1-1-11111-2-2220000-2-2221111-1-1-1-111-1-10000000000000000
χ312222-2-22-12-2-22-111112-1-122-1-2-2-11111-1-12-1-2-2112-1-2211-1-1-2-222-1-1111111-1-1-1-122-2-20000-2-2221111-1-1-1-1-1-1110000000000000000
χ322222-2-22-12-2-22-111112-1-122-1-2-2-11111-1-12-1-2-2112-1-2211-1-1-2-222-1-1111111-1-1-1-1-2-222000022-2-2-1-1-1-1111111-1-10000000000000000
χ332222-2-2-122-2-222-2-2-2-2-122-1-1-111-11111-1-1-1211-2-2-122-222-2-2-1-111-1-111-1-1-1-11111000022-2-200000000000000002-2-1-111-1-111000000
χ342222-2-2-122-2-222-2-2-2-2-122-1-1-111-11111-1-1-1211-2-2-122-222-2-2-1-111-1-111-1-1-1-111110000-2-2220000000000000000-2211-1-111-1-1000000
χ352222-2-2-122-2-222-2-2-2-2-122-1-1-111-11111-1-1-1211-2-2-12-22-2-22211-1-1-1-1111111-1-1-1-1000022-2-20000000000000000-22-1-11111-1-1000000
χ362222-2-2-122-2-222-2-2-2-2-122-1-1-111-11111-1-1-1211-2-2-12-22-2-22211-1-1-1-1111111-1-1-1-10000-2-22200000000000000002-211-1-1-1-111000000
χ3722-2-22-22222-2-2-222-2-222-2-2-222-2-222-2-22-2222-22-2-2-200000000002-22-2000000002-22-200000000000000002-22-20000000000000000
χ3822-2-22-22222-2-2-222-2-222-2-2-222-2-222-2-22-2222-22-2-2-200000000002-22-200000000-22-220000000000000000-22-220000000000000000
χ3922-2-22-222-2-222-222-2-222-2-2-222-2-222-2-22-2-2-2-22-22220000000000-22-220000000000002i−2i2i−2i0000000000000000002i−2i2i−2i0000000000
χ4022-2-22-222-2-222-222-2-222-2-2-222-2-222-2-22-2-2-2-22-22220000000000-22-22000000000000−2i2i−2i2i000000000000000000−2i2i−2i2i0000000000
χ4122-2-22-22-122-2-21-1-1112-11-2-2-12-21-1-111-112-12-2-11-21003−33−30000-11-1133−3−333−3−32-22-20000000033−3−333−3−3-11-110000000000000000
χ4222-2-22-22-122-2-21-1-1112-11-2-2-12-21-1-111-112-12-2-11-21003−33−30000-11-1133−3−333−3−3-22-2200000000−3−333−3−3331-11-10000000000000000
χ4322-2-22-22-122-2-21-1-1112-11-2-2-12-21-1-111-112-12-2-11-2100−33−330000-11-11−3−333−3−3332-22-200000000−3−333−3−333-11-110000000000000000
χ4422-2-22-22-122-2-21-1-1112-11-2-2-12-21-1-111-112-12-2-11-2100−33−330000-11-11−3−333−3−333-22-220000000033−3−333−3−31-11-10000000000000000
χ4522-2-22-2-12-2-222-222-2-2-12-211-1-111-1-111-111-21-1-22-120000003−33−31-11-13−33−33−33−300002i−2i2i−2i000000000000000000−ii−ii−i3i3−i3i3000000
χ4622-2-22-2-12-2-222-222-2-2-12-211-1-111-1-111-111-21-1-22-120000003−33−31-11-13−33−33−33−30000−2i2i−2i2i000000000000000000i−ii−ii3−i3i3−i3000000
χ4722-2-22-2-12-2-222-222-2-2-12-211-1-111-1-111-111-21-1-22-12000000−33−331-11-1−33−33−33−3300002i−2i2i−2i000000000000000000−ii−iii3−i3i3−i3000000
χ4822-2-22-2-12-2-222-222-2-2-12-211-1-111-1-111-111-21-1-22-12000000−33−331-11-1−33−33−33−330000−2i2i−2i2i000000000000000000i−ii−i−i3i3−i3i3000000
χ4922-2-2-22222-22-2-2-2-22222-2-2-22-22-2-2-2222-222-22-22-2-200000000002-2-22000000002-2-2200000000000000002-2-220000000000000000
χ5022-2-2-22222-22-2-2-2-22222-2-2-22-22-2-2-2222-222-22-22-2-200000000002-2-2200000000-222-20000000000000000-222-20000000000000000
χ5122-2-2-2222-22-22-2-2-22222-2-2-22-22-2-2-2222-2-2-22-22-2220000000000-222-20000000000002i−2i−2i2i0000000000000000002i−2i−2i2i0000000000
χ5222-2-2-2222-22-22-2-2-22222-2-2-22-22-2-2-2222-2-2-22-22-2220000000000-222-2000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i0000000000
χ5322-2-2-222-12-22-2111-1-12-11-2-2-1-22111-1-1-112-1-221-1-21003−3−330000-111-133−3−3−3−3332-2-220000000033−3−3−3−333-111-10000000000000000
χ5422-2-2-222-12-22-2111-1-12-11-2-2-1-22111-1-1-112-1-221-1-21003−3−330000-111-133−3−3−3−333-222-200000000−3−33333−3−31-1-110000000000000000
χ5522-2-2-222-12-22-2111-1-12-11-2-2-1-22111-1-1-112-1-221-1-2100−333−30000-111-1−3−33333−3−32-2-2200000000−3−33333−3−3-111-10000000000000000
χ5622-2-2-222-12-22-2111-1-12-11-2-2-1-22111-1-1-112-1-221-1-2100−333−30000-111-1−3−33333−3−3-222-20000000033−3−3−3−3331-1-110000000000000000
χ5722-2-2-22-12-22-22-2-2-222-12-211-11-1111-1-1-111-2-112-2-120000003−3−331-1-113−33−3−33−3300002i−2i−2i2i000000000000000000−iii−i−i3i3i3−i3000000
χ5822-2-2-22-12-22-22-2-2-222-12-211-11-1111-1-1-111-2-112-2-120000003−3−331-1-113−33−3−33−330000−2i2i2i−2i000000000000000000i−i−iii3−i3−i3i3000000
χ5922-2-2-22-12-22-22-2-2-222-12-211-11-1111-1-1-111-2-112-2-12000000−333−31-1-11−33−333−33−300002i−2i−2i2i000000000000000000−iii−ii3−i3−i3i3000000
χ6022-2-2-22-12-22-22-2-2-222-12-211-11-1111-1-1-111-2-112-2-12000000−333−31-1-11−33−333−33−30000−2i2i2i−2i000000000000000000i−i−ii−i3i3i3−i3000000
χ614444444-2-4-4-4-4-2-2-2-2-24-2-244-244-2-2-2-2-2-2-2-42-4-422-4200000000002222000000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-444444-244-2-2-2-2-2-2-2-2-2-2-2-22-422-4-42-400000000002222000000000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222220000000000-1-1-1-13-3-333-3-330000000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222220000000000-1-1-1-1-333-3-333-30000000000000000000000000000000000000000
χ674444-4-44-2-444-4-222224-2-244-2-4-4-22222-2-2-4244-2-2-42000000000022-2-2000000000000000000000000000000000000000000000000
χ684444-4-4-24-444-44-4-4-4-4-244-2-2-222-22222-2-22-4-2-2442-4000000000022-2-2000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-22222-2-2-2-2-21221-1-1-1-111-2-22222-2-24-4-2-222-2-22211-1-11111-1-1-1-10000000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-22222-2-2-2-2-21221-1-1-1-111-2-22222-2-2-4422-2-222-2-211-1-1-1-1-1-111110000000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-22222-2-2-2-2-21221-1-1-1-11122-2-2-2-2220000000000-1-1113-3-33-333-30000000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-22222-2-2-2-2-21221-1-1-1-11122-2-2-2-2220000000000-1-111-333-33-3-330000000000000000000000000000000000000000
χ7344-4-44-44-2-4-4442-2-2224-22-4-4-24-42-2-222-22-42-442-24-200000000002-22-2000000000000000000000000000000000000000000000000
χ7444-4-44-4-2444-4-4-444-4-4-24-422-2-222-2-222-22-24-224-42-40000000000-22-22000000000000000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-42-2-222-2-22221-22-111-1-11-1-2-2-22-22220023−2323−2300001-11-1−3−333−3−3330000000000000000000000000000000000000000
χ7644-4-44-4-2-244-4-42-2-222-2-22221-22-111-1-11-1-2-2-22-222200−2323−232300001-11-133−3−333−3−30000000000000000000000000000000000000000
χ7744-4-44-4-2-2-4-4442-2-222-2-22221-22-111-1-11-1222-22-2-2-200000023−2323−23-11-11−33−33−33−330000000000000000000000000000000000000000
χ7844-4-44-4-2-2-4-4442-2-222-2-22221-22-111-1-11-1222-22-2-2-2000000−2323−2323-11-113−33−33−33−30000000000000000000000000000000000000000
χ7944-4-4-444-2-44-44222-2-24-22-4-4-2-44222-2-2-22-424-4-224-200000000002-2-22000000000000000000000000000000000000000000000000
χ8044-4-4-44-244-44-4-4-4-444-24-422-22-2222-2-2-22-242-2-442-40000000000-222-2000000000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-44-4222-2-2-2-222212-2-1-1-1111-1-2-22-22-2220023−23−232300001-1-11−3−33333−3−30000000000000000000000000000000000000000
χ8244-4-4-44-2-24-44-4222-2-2-2-222212-2-1-1-1111-1-2-22-22-22200−232323−2300001-1-1133−3−3−3−3330000000000000000000000000000000000000000
χ8344-4-4-44-2-2-44-44222-2-2-2-222212-2-1-1-1111-122-22-22-2-200000023−23−2323-111-1−33−333−33−30000000000000000000000000000000000000000
χ8444-4-4-44-2-2-44-44222-2-2-2-222212-2-1-1-1111-122-22-22-2-2000000−232323−23-111-13−33−3−33−330000000000000000000000000000000000000000
χ854-44-40044000040000-4-4-44-440040000-4-40000000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i200000000000000000000
χ864-44-40044000040000-4-4-44-440040000-4-400000000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i200000000000000000000
χ874-44-4004-20000-2−2i32i3−2i32i3-4224-4-200-2−2i32i3−2i32i3220000000000000000000000000000000000000000−2i22i26−66−6i2−i2i2−i200000000000000000000
χ884-44-4004-20000-2−2i32i3−2i32i3-4224-4-200-2−2i32i3−2i32i32200000000000000000000000000000000000000002i2−2i2−66−66−i2i2−i2i200000000000000000000
χ894-44-4004-20000-22i3−2i32i3−2i3-4224-4-200-22i3−2i32i3−2i3220000000000000000000000000000000000000000−2i22i2−66−66i2−i2i2−i200000000000000000000
χ904-44-4004-20000-22i3−2i32i3−2i3-4224-4-200-22i3−2i32i3−2i32200000000000000000000000000000000000000002i2−2i26−66−6−i2i2−i2i200000000000000000000
χ914-4-4400440000-40000-4-44-44400-40000-440000000000000000000000000000000000000022−220022−22−2222000000000000000000000000
χ924-4-4400440000-40000-4-44-44400-40000-4400000000000000000000000000000000000000−222200−222222−22000000000000000000000000
χ934-4-44004-200002−2i32i32i3−2i3-42-2-44-2002−2i32i32i3−2i32-20000000000000000000000000000000000000022−2200−222−2i6−i6−i6i600000000000000000000
χ944-4-44004-200002−2i32i32i3−2i3-42-2-44-2002−2i32i32i3−2i32-200000000000000000000000000000000000000−2222002−2−22−i6i6i6−i600000000000000000000
χ954-4-44004-2000022i3−2i3−2i32i3-42-2-44-20022i3−2i3−2i32i32-20000000000000000000000000000000000000022−2200−222−2−i6i6i6−i600000000000000000000
χ964-4-44004-2000022i3−2i3−2i32i3-42-2-44-20022i3−2i3−2i32i32-200000000000000000000000000000000000000−2222002−2−22i6−i6−i6i600000000000000000000
χ978-88-800-480000800004-8-8-44-400-40000440000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-4−4i34i3−4i34i3444-4420022i3−2i32i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-44i3−4i34i3−4i3444-442002−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-480000-800004-884-4-400400004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004−4i34i34i3−4i344-44-4200-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-4000044i3−4i3−4i34i344-44-4200-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000

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