Finite Group Databasebeta

← Group #11793114

Character table — Group #11793114

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order124422233444661212121236666666661212121212121212121266881212242424242424242424242424242424244444448812121212121212121212121224242424444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ922222222-12222-122-1-1-12-1-1-1-1-122-122-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000
χ1022222222-12222-122-1-1-12-1-1-1-1-122-122-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000
χ1122222222-12222-122-1-1-12-1-1-1-1-122-122-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111000022-2-200000000-1-1-1-11111000000
χ1222222222-12222-122-1-1-12-1-1-1-1-122-122-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000-2-222000000001111-1-1-1-1000000
χ132222222-12222-12-1-122-1-122-1-1-1-1-12-1-122-1-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000000
χ142222222-12222-12-1-122-1-122-1-1-1-1-12-1-122-1-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000000000
χ152222222-12222-12-1-122-1-122-1-1-1-1-12-1-122-1-1-12-1-1-1-1-2-2-1-11111-2-2-2-21111111122-2-20000-1-1-1-1111100000000000000
χ162222222-12222-12-1-122-1-122-1-1-1-1-12-1-122-1-1-12-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-22200001111-1-1-1-100000000000000
χ1722222-2-222-2-22222222222-2222-2-2-2-2-2-2-2222222-2-200-2-200000000000000002i−2i0000002i2i−2i−2i000000000000000000
χ1822222-2-222-2-22222222222-2222-2-2-2-2-2-2-2222222-2-200-2-20000000000000000−2i2i000000−2i−2i2i2i000000000000000000
χ1922222-2-2-12-2-22-12-1-122-1-12-2-1-1-111-211-2-2-1-1-12-1-1110011−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i32i−2i000000−i−iii33−3−300000000000000
χ2022222-2-2-12-2-22-12-1-122-1-12-2-1-1-111-211-2-2-1-1-12-1-1110011−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−2i2i000000ii−i−i−3−33300000000000000
χ2122222-2-2-12-2-22-12-1-122-1-12-2-1-1-111-211-2-2-1-1-12-1-1110011i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i32i−2i000000−i−iii−3−33300000000000000
χ2222222-2-2-12-2-22-12-1-122-1-12-2-1-1-111-211-2-2-1-1-12-1-1110011i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3−2i2i000000ii−i−i33−3−300000000000000
χ232222-22-2222-2-22222222-2-22-2-222-2-22-22-222-2-2-2-22-22i−2i2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000
χ242222-22-2222-2-22222222-2-22-2-222-2-22-22-222-2-2-2-22-2−2i2i2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000
χ252222-22-22-12-2-22-122-1-1-1-21-111-12-212-2-11-1-1-2111-112i−2i-112i−2i2i−2i−i−iii−i−iii−i−iii000000000000000033−3−3−i3−i3i3i3000000
χ262222-22-22-12-2-22-122-1-1-1-21-111-12-212-2-11-1-1-2111-112i−2i-112i−2i2i−2i−i−iii−i−iii−i−iii0000000000000000−3−333i3i3−i3−i3000000
χ272222-22-22-12-2-22-122-1-1-1-21-111-12-212-2-11-1-1-2111-11−2i2i-11−2i2i−2i2iii−i−iii−i−iii−i−i000000000000000033−3−3i3i3−i3−i3000000
χ282222-22-22-12-2-22-122-1-1-1-21-111-12-212-2-11-1-1-2111-11−2i2i-11−2i2i−2i2iii−i−iii−i−iii−i−i0000000000000000−3−333−i3−i3i3i3000000
χ292222-22-2-122-2-2-12-1-122-11-2211-1-11-2-112-2-1-11-211-112i−2i-11−ii−ii2i2i−2i−2i−i−iii−i−iii00000000−i3i3−i3i33−33−300000000000000
χ302222-22-2-122-2-2-12-1-122-11-2211-1-11-2-112-2-1-11-211-112i−2i-11−ii−ii2i2i−2i−2i−i−iii−i−iii00000000i3−i3i3−i3−33−3300000000000000
χ312222-22-2-122-2-2-12-1-122-11-2211-1-11-2-112-2-1-11-211-11−2i2i-11i−ii−i−2i−2i2i2iii−i−iii−i−i00000000−i3i3−i3i3−33−3300000000000000
χ322222-22-2-122-2-2-12-1-122-11-2211-1-11-2-112-2-1-11-211-11−2i2i-11i−ii−i−2i−2i2i2iii−i−iii−i−i00000000i3−i3i3−i33−33−300000000000000
χ332222-2-2222-22-22222222-2-2-2-2-22-222-22-2222-2-2-2-2-2200-220000000000000000002-2000000002-2-2200000000000000
χ342222-2-2222-22-22222222-2-2-2-2-22-222-22-2222-2-2-2-2-2200-22000000000000000000-2200000000-222-200000000000000
χ352222-2-22-12-22-2-12-1-122-11-2-211-11-121-1-22-1-11-2111-1001-13−3−33000033−3−3−3−333002-20000−333−3-111-100000000000000
χ362222-2-22-12-22-2-12-1-122-11-2-211-11-121-1-22-1-11-2111-1001-13−3−33000033−3−3−3−33300-2200003−3−331-1-1100000000000000
χ372222-2-22-12-22-2-12-1-122-11-2-211-11-121-1-22-1-11-2111-1001-1−333−30000−3−33333−3−3002-200003−3−33-111-100000000000000
χ382222-2-22-12-22-2-12-1-122-11-2-211-11-121-1-22-1-11-2111-1001-1−333−30000−3−33333−3−300-220000−333−31-1-1100000000000000
χ3922-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002-200000000002-22-20000000000
χ4022-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000-220000000000-22-220000000000
χ4122-2-22222-1-2-2-22-1-2-211-12-1-1-1-1-122-1-2-21111-2111-1-1001100003−33−33−33−33−33−300002-20000000000-11-113−33−3000000
χ4222-2-22222-1-2-2-22-1-2-211-12-1-1-1-1-122-1-2-21111-2111-1-1001100003−33−33−33−33−33−30000-2200000000001-11-1−33−33000000
χ4322-2-22222-1-2-2-22-1-2-211-12-1-1-1-1-122-1-2-21111-2111-1-100110000−33−33−33−33−33−3300002-20000000000-11-11−33−33000000
χ4422-2-22222-1-2-2-22-1-2-211-12-1-1-1-1-122-1-2-21111-2111-1-100110000−33−33−33−33−33−330000-2200000000001-11-13−33−3000000
χ4522-2-22-2-22222-222-2-2-2-2222-2222-2-2-22222-2-2-2-2-2-2-2-20022000000000000000000000000000000000000000000002-2
χ4622-2-22-2-22222-222-2-2-2-2222-2222-2-2-22222-2-2-2-2-2-2-2-2002200000000000000000000000000000000000000000000-22
χ4722-2-2-22-222-22222-2-2-2-22-2-22-2-222-2-2-22-22-2-222222-200-2200000000000000000000002i−2i0000000000002i−2i−2i2i000000
χ4822-2-2-22-222-22222-2-2-2-22-2-22-2-222-2-2-22-22-2-222222-200-220000000000000000000000−2i2i000000000000−2i2i2i−2i000000
χ4922-2-2-22-22-1-2222-1-2-211-1-21-111-12-21-221-1112-1-1-1-11001-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000002i−2i00000000−333−3−iii−i000000
χ5022-2-2-22-22-1-2222-1-2-211-1-21-111-12-21-221-1112-1-1-1-11001-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000−2i2i000000003−3−33i−i−ii000000
χ5122-2-2-22-22-1-2222-1-2-211-1-21-111-12-21-221-1112-1-1-1-11001-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000002i−2i000000003−3−33−iii−i000000
χ5222-2-2-22-22-1-2222-1-2-211-1-21-111-12-21-221-1112-1-1-1-11001-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000−2i2i00000000−333−3i−i−ii000000
χ5322-2-2-2-22222-2222-2-2-2-22-2-2-2-2-22-2222-22-2-2-22222-22002-2000000000000000000000000000000000000000022-2-200
χ5422-2-2-2-22222-2222-2-2-2-22-2-2-2-2-22-2222-22-2-2-22222-22002-20000000000000000000000000000000000000000-2-22200
χ554444444-2-2444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-211-2-211114411-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-211-2-21111-4-41122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ5744444-4-44-2-4-444-244-2-2-24-22-2-2-2-4-42-4-422-2-24-2-2-22200220000000000000000000000000000000000000000000000
χ5844444-4-4-2-2-4-44-2-2-2-2-2-21-2-22111222222211-2-211-1-100-1-1−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000
χ5944444-4-4-2-2-4-44-2-2-2-2-2-21-2-22111222222211-2-211-1-100-1-12i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000
χ604444-44-4-2-24-4-4-2-2-2-2-2-2122-2-1-11-222-22-221122-1-11-14i−4i1-1−2i2i−2i2i−2i−2i2i2iii−i−iii−i−i000000000000000000000000000000
χ614444-44-4-2-24-4-4-2-2-2-2-2-2122-2-1-11-222-22-221122-1-11-1−4i4i1-12i−2i2i−2i2i2i−2i−2i−i−iii−i−iii000000000000000000000000000000
χ624444-4-444-2-44-44-244-2-2-2-42222-2-44-2-442-2-2-2-42222-2002-20000000000000000000000000000000000000000000000
χ634444-4-44-2-2-44-4-2-2-2-2-2-21222-1-112-2-22-22-21122-1-1-1100-1123−23−23230000−3−33333−3−3000000000000000000000000000000
χ644444-4-44-2-2-44-4-2-2-2-2-2-21222-1-112-2-22-22-21122-1-1-1100-11−232323−23000033−3−3−3−333000000000000000000000000000000
χ6544-4-4444-24-4-4-4-2422-4-4-2-244-2-2-2-2-2422-4-4222-422-2-200220000000000000000000000000000000000000000000000
χ6644-4-4444-2-2-4-4-4-2-222221-2-2-2111-2-2-22222-1-122-1-11100-1-1000023−2323−23−33−33−33−33000000000000000000000000000000
χ6744-4-4444-2-2-4-4-4-2-222221-2-2-2111-2-2-22222-1-122-1-11100-1-10000−2323−23233−33−33−33−3000000000000000000000000000000
χ6844-4-44-4-44-244-44-2-4-422-24-22-2-2-2-4-4244-2-222-42222200-2-20000000000000000000000000000000000000000000000
χ6944-4-44-4-4-2444-4-2422-4-4-2-24-4-2-2-222-4-2-244222-4222200-2-20000000000000000000000000000000000000000000000
χ7044-4-44-4-4-2-244-4-2-222221-2-22111222-2-2-2-2-1-122-1-1-1-10011000000003i−3i3i−3i−3i3i−3i3i000000000000000000000000000000
χ7144-4-44-4-4-2-244-4-2-222221-2-22111222-2-2-2-2-1-122-1-1-1-1001100000000−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000
χ7244-4-4-44-4-24-444-2422-4-4-22-4422-2-22-42-2-4422-24-2-2-22002-20000000000000000000000000000000000000000000000
χ7344-4-4-44-4-2-2-444-2-22222122-2-1-11-2222-22-2-1-1-2-2111-100-110000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000
χ7444-4-4-44-4-2-2-444-2-22222122-2-1-11-2222-22-2-1-1-2-2111-100-1100002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000
χ7544-4-4-4-444-24-444-2-4-422-2-42222-2-44-24-4-22224-2-2-22-200-220000000000000000000000000000000000000000000000
χ7644-4-4-4-44-244-44-2422-4-4-22-4-422-22-24-224-422-24-2-22-200-220000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-24-44-2-222221222-1-112-2-2-22-22-1-1-2-211-11001-1000000003-3-33-333-3000000000000000000000000000000
χ7844-4-4-4-44-2-24-44-2-222221222-1-112-2-2-22-22-1-1-2-211-11001-100000000-333-33-3-33000000000000000000000000000000
χ794-44i−4i00044000-4-44i−4i4i−4i400000-400000004i−4i000000000000000000000000000000000000000000000000002-22i−2i00
χ804-44i−4i00044000-4-44i−4i4i−4i400000-400000004i−4i00000000000000000000000000000000000000000000000000-22−2i2i00
χ814-4−4i4i00044000-4-4−4i4i−4i4i400000-40000000−4i4i000000000000000000000000000000000000000000000000002-2−2i2i00
χ824-4−4i4i00044000-4-4−4i4i−4i4i400000-40000000−4i4i00000000000000000000000000000000000000000000000000-222i−2i00
χ838-88i−8i0008-4000-848i−8i−4i4i-40000040000000−4i4i00000000000000000000000000000000000000000000000000000000
χ848-88i−8i000-480004-8−4i4i8i−8i-40000040000000−4i4i00000000000000000000000000000000000000000000000000000000
χ858-88i−8i000-4-400044−4i4i−4i4i20006-6-200000002i−2i006i−6i0000000000000000000000000000000000000000000000000000
χ868-88i−8i000-4-400044−4i4i−4i4i2000-66-200000002i−2i00−6i6i0000000000000000000000000000000000000000000000000000
χ878-8−8i8i0008-4000-84−8i8i4i−4i-400000400000004i−4i00000000000000000000000000000000000000000000000000000000
χ888-8−8i8i000-480004-84i−4i−8i8i-400000400000004i−4i00000000000000000000000000000000000000000000000000000000
χ898-8−8i8i000-4-4000444i−4i4i−4i20006-6-20000000−2i2i00−6i6i0000000000000000000000000000000000000000000000000000
χ908-8−8i8i000-4-4000444i−4i4i−4i2000-66-20000000−2i2i006i−6i0000000000000000000000000000000000000000000000000000

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