Finite Group Databasebeta

← Group #11793865

Character table — Group #11793865

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1244222334446612121212366666666612121212121212121212668812122424242424242424242424242424242424668888881212242424242424242424242424444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1
χ922222222-12222-122-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1002200-1-1-1-1-1-100000000000000
χ1022222222-12222-122-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-21100-2-20011111100000000000000
χ1122222222-12222-122-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-2-2-1-1-2-2-2-211111111111122-1-100-2-200-1-1111100000000000000
χ1222222222-12222-122-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-2-2-1-1-2-2-2-2111111111111-2-21100220011-1-1-1-100000000000000
χ132222222-12222-12-1-122-1-1-1-1222-1-1-12-1-1-12-1-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000220022000000-1-1-1-1-1-1-1-1000000
χ142222222-12222-12-1-122-1-1-1-1222-1-1-12-1-1-12-1-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-200-2-200000011111111000000
χ152222222-12222-12-1-122-1-1-1-1222-1-1-12-1-1-12-1-1-1-12-1-1-2-2-1-11111-2-2-2-21111111100002200-2-2000000-1-1-1-11111000000
χ162222222-12222-12-1-122-1-1-1-1222-1-1-12-1-1-12-1-1-1-12-1-1-2-2-1-11111-2-2-2-2111111110000-2-200220000001111-1-1-1-1000000
χ1722222-2-2222-2-222222222-2-22-2-2222-2222222-2-2-2-2-200-2-2000000000000000000002i−2i00000000002i2i−2i−2i0000000000
χ1822222-2-2222-2-222222222-2-22-2-2222-2222222-2-2-2-2-200-2-200000000000000000000−2i2i0000000000−2i−2i2i2i0000000000
χ1922222-2-2-122-2-2-12-1-122-1-1112-2-2-1-1-1-2-1-1-12-1-111-2110011−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i300002i−2i0000000000−i−iii33−3−3000000
χ2022222-2-2-122-2-2-12-1-122-1-1112-2-2-1-1-1-2-1-1-12-1-111-2110011−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i30000−2i2i0000000000ii−i−i−3−333000000
χ2122222-2-2-122-2-2-12-1-122-1-1112-2-2-1-1-1-2-1-1-12-1-111-2110011i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i300002i−2i0000000000−i−iii−3−333000000
χ2222222-2-2-122-2-2-12-1-122-1-1112-2-2-1-1-1-2-1-1-12-1-111-2110011i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000−2i2i0000000000ii−i−i33−3−3000000
χ232222-22-222-22-22222222-22-2-22-2-2-22222-2-2-2-22-2-22-22i−2i2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000
χ242222-22-222-22-22222222-22-2-22-2-2-22222-2-2-2-22-2-22-2−2i2i2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000
χ252222-22-22-1-22-22-122-1-1-1-22-21-1111-1-1-1-1-21112-21-112i−2i-112i−2i2i−2i−i−iii−i−iii−i−iii00−i3i3000000−i3i333−3−300000000000000
χ262222-22-22-1-22-22-122-1-1-1-22-21-1111-1-1-1-1-21112-21-112i−2i-112i−2i2i−2i−i−iii−i−iii−i−iii00i3−i3000000i3−i3−3−33300000000000000
χ272222-22-22-1-22-22-122-1-1-1-22-21-1111-1-1-1-1-21112-21-11−2i2i-11−2i2i−2i2iii−i−iii−i−iii−i−i00−i3i3000000−i3i3−3−33300000000000000
χ282222-22-22-1-22-22-122-1-1-1-22-21-1111-1-1-1-1-21112-21-11−2i2i-11−2i2i−2i2iii−i−iii−i−iii−i−i00i3−i3000000i3−i333−3−300000000000000
χ292222-22-2-12-22-2-12-1-122-11-11-22-211-12-1-11-211-11-2-112i−2i-11−ii−ii2i2i−2i−2i−i−iii−i−iii0000000000000000−i3i3−i3i33−33−3000000
χ302222-22-2-12-22-2-12-1-122-11-11-22-211-12-1-11-211-11-2-112i−2i-11−ii−ii2i2i−2i−2i−i−iii−i−iii0000000000000000i3−i3i3−i3−33−33000000
χ312222-22-2-12-22-2-12-1-122-11-11-22-211-12-1-11-211-11-2-11−2i2i-11i−ii−i−2i−2i2i2iii−i−iii−i−i0000000000000000−i3i3−i3i3−33−33000000
χ322222-22-2-12-22-2-12-1-122-11-11-22-211-12-1-11-211-11-2-11−2i2i-11i−ii−i−2i−2i2i2iii−i−iii−i−i0000000000000000i3−i3i3−i33−33−3000000
χ332222-2-2222-2-222222222-2-22-2-22-2-22-222-2-2-2-2-222-2200-220000000000000000000000002-200000000002-2-22000000
χ342222-2-2222-2-222222222-2-22-2-22-2-22-222-2-2-2-2-222-2200-22000000000000000000000000-220000000000-222-2000000
χ352222-2-22-12-2-22-12-1-122-111-1-2-2211-1-2-1-11-2111-121-1001-13−3−33000033−3−3−3−333000000002-2000000−333−3-111-1000000
χ362222-2-22-12-2-22-12-1-122-111-1-2-2211-1-2-1-11-2111-121-1001-13−3−33000033−3−3−3−33300000000-220000003−3−331-1-11000000
χ372222-2-22-12-2-22-12-1-122-111-1-2-2211-1-2-1-11-2111-121-1001-1−333−30000−3−33333−3−3000000002-20000003−3−33-111-1000000
χ382222-2-22-12-2-22-12-1-122-111-1-2-2211-1-2-1-11-2111-121-1001-1−333−30000−3−33333−3−300000000-22000000−333−31-1-11000000
χ3922-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000002i−2i00002i−2i2i−2i00000000000000
χ4022-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000−2i2i0000−2i2i−2i2i00000000000000
χ4122-2-22222-1-2-2-22-1-2-211-1222-1-1-1-1-1-1111-2111-2-21-1-1001100003−33−33−33−33−33−300−i3i3002i−2i00i3−i3−ii−ii00000000000000
χ4222-2-22222-1-2-2-22-1-2-211-1222-1-1-1-1-1-1111-2111-2-21-1-1001100003−33−33−33−33−33−300i3−i300−2i2i00−i3i3i−ii−i00000000000000
χ4322-2-22222-1-2-2-22-1-2-211-1222-1-1-1-1-1-1111-2111-2-21-1-100110000−33−33−33−33−33−3300−i3i300−2i2i00i3−i3i−ii−i00000000000000
χ4422-2-22222-1-2-2-22-1-2-211-1222-1-1-1-1-1-1111-2111-2-21-1-100110000−33−33−33−33−33−3300i3−i3002i−2i00−i3i3−ii−ii00000000000000
χ4522-2-22-2-222-22222-2-2-2-222-2-22-2-22222-2-2-2-2-2-2222-2-20022000000000000000000000000000000000000000000002-2
χ4622-2-22-2-222-22222-2-2-2-222-2-22-2-22222-2-2-2-2-2-2222-2-2002200000000000000000000000000000000000000000000-22
χ4722-2-2-22-2222-2222-2-2-2-22-22-2-22-2-2-22-2-2-22222-2222-200-2200000000000000002-222000000-2-2000000000000000000
χ4822-2-2-22-2222-2222-2-2-2-22-22-2-22-2-2-22-2-2-22222-2222-200-220000000000000000-22-2-200000022000000000000000000
χ4922-2-2-22-22-12-222-1-2-211-1-22-21-1111-11112-1-1-1-22-1-11001-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i32-2-1-100000011−i3i3i3−i300000000000000
χ5022-2-2-22-22-12-222-1-2-211-1-22-21-1111-11112-1-1-1-22-1-11001-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3-2211000000-1-1i3−i3−i3i300000000000000
χ5122-2-2-22-22-12-222-1-2-211-1-22-21-1111-11112-1-1-1-22-1-11001-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i32-2-1-100000011i3−i3−i3i300000000000000
χ5222-2-2-22-22-12-222-1-2-211-1-22-21-1111-11112-1-1-1-22-1-11001-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3-2211000000-1-1−i3i3i3−i300000000000000
χ5322-2-2-2-222222-222-2-2-2-22-2-22-2-22-2-222-2-222222-2-2-22002-2000000000000000000000000000000000000000022-2-200
χ5422-2-2-2-222222-222-2-2-2-22-2-22-2-22-2-222-2-222222-2-2-22002-20000000000000000000000000000000000000000-2-22200
χ554444444-2-2444-2-2-2-2-2-21-2-2-2-2-2-2111-211-2-211-2-2-2114411-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-21-2-2-2-2-2-2111-211-2-211-2-2-211-4-41122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ5744444-4-44-24-4-44-244-2-2-24-4-4-222-2-2-22-2-24-2-2-2-4-422200220000000000000000000000000000000000000000000000
χ5844444-4-4-2-24-4-4-2-2-2-2-2-21-222-222111211-2-211222-1-100-1-1−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000
χ5944444-4-4-2-24-4-4-2-2-2-2-2-21-222-222111211-2-211222-1-100-1-12i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000
χ604444-44-4-2-2-44-4-2-2-2-2-2-212-222-22-1-11-21122-1-1-2221-14i−4i1-1−2i2i−2i2i−2i−2i2i2iii−i−iii−i−i000000000000000000000000000000
χ614444-44-4-2-2-44-4-2-2-2-2-2-212-222-22-1-11-21122-1-1-2221-1−4i4i1-12i−2i2i−2i2i2i−2i−2i−i−iii−i−iii000000000000000000000000000000
χ624444-4-444-2-4-444-244-2-2-2-4-4422-222-22-2-2-4222-44-22-2002-20000000000000000000000000000000000000000000000
χ634444-4-44-2-2-4-44-2-2-2-2-2-2122-222-2-1-1121122-1-12-2-2-1100-1123−23−23230000−3−33333−3−3000000000000000000000000000000
χ644444-4-44-2-2-4-44-2-2-2-2-2-2122-222-2-1-1121122-1-12-2-2-1100-11−232323−23000033−3−3−3−333000000000000000000000000000000
χ6544-4-4444-24-4-4-4-2422-4-4-2-2-2-2444-2-2-2-4222-42222-4-2-200220000000000000000000000000000000000000000000000
χ6644-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2-21112-1-122-1-12221100-1-1000023−2323−23−33−33−33−33000000000000000000000000000000
χ6744-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2-21112-1-122-1-12221100-1-10000−2323−23233−33−33−33−3000000000000000000000000000000
χ6844-4-44-4-44-2-4444-2-4-422-24-4-4-222-2-2-2-222-422244-22200-2-20000000000000000000000000000000000000000000000
χ6944-4-44-4-4-24-444-2422-4-4-2-2224-4-4-2-2-24222-422-2-242200-2-20000000000000000000000000000000000000000000000
χ7044-4-44-4-4-2-2-444-2-222221-222-222111-2-1-122-1-1-2-2-2-1-10011000000003i−3i3i−3i−3i3i−3i3i000000000000000000000000000000
χ7144-4-44-4-4-2-2-444-2-222221-222-222111-2-1-122-1-1-2-2-2-1-1001100000000−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000
χ7244-4-4-44-4-244-44-2422-4-4-22-22-44-422-2-422-24-2-22-24-22002-20000000000000000000000000000000000000000000000
χ7344-4-4-44-4-2-24-44-2-2222212-222-22-1-112-1-1-2-2112-2-21-100-110000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000
χ7444-4-4-44-4-2-24-44-2-2222212-222-22-1-112-1-1-2-2112-2-21-100-1100002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000
χ7544-4-4-4-444-244-44-2-4-422-2-4-4422-222-2-2224-2-2-24-422-200-220000000000000000000000000000000000000000000000
χ7644-4-4-4-44-2444-4-2422-4-4-222-2-4-4422-2422-24-2-2-22-42-200-220000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-244-4-2-22222122-222-2-1-11-2-1-1-2-211-222-11001-1000000003-3-33-333-3000000000000000000000000000000
χ7844-4-4-4-44-2-244-4-2-22222122-222-2-1-11-2-1-1-2-211-222-11001-100000000-333-33-3-33000000000000000000000000000000
χ794-44i−4i00044000-4-44i−4i4i−4i400000000-404i−4i000000000000000000000000000000000000000000000000000002-22i−2i00
χ804-44i−4i00044000-4-44i−4i4i−4i400000000-404i−4i00000000000000000000000000000000000000000000000000000-22−2i2i00
χ814-4−4i4i00044000-4-4−4i4i−4i4i400000000-40−4i4i000000000000000000000000000000000000000000000000000002-2−2i2i00
χ824-4−4i4i00044000-4-4−4i4i−4i4i400000000-40−4i4i00000000000000000000000000000000000000000000000000000-222i−2i00
χ838-88i−8i0008-4000-848i−8i−4i4i-40000000040−4i4i00000000000000000000000000000000000000000000000000000000000
χ848-88i−8i000-480004-8−4i4i8i−8i-40000000040−4i4i00000000000000000000000000000000000000000000000000000000000
χ858-88i−8i000-4-400044−4i4i−4i4i20000006-6-202i−2i006i−6i0000000000000000000000000000000000000000000000000000000
χ868-88i−8i000-4-400044−4i4i−4i4i2000000-66-202i−2i00−6i6i0000000000000000000000000000000000000000000000000000000
χ878-8−8i8i0008-4000-84−8i8i4i−4i-400000000404i−4i00000000000000000000000000000000000000000000000000000000000
χ888-8−8i8i000-480004-84i−4i−8i8i-400000000404i−4i00000000000000000000000000000000000000000000000000000000000
χ898-8−8i8i000-4-4000444i−4i4i−4i20000006-6-20−2i2i00−6i6i0000000000000000000000000000000000000000000000000000000
χ908-8−8i8i000-4-4000444i−4i4i−4i2000000-66-20−2i2i006i−6i0000000000000000000000000000000000000000000000000000000

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