Finite Group Databasebeta

← Group #11795345

Character table — Group #11795345

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222334444666666666636666666661212121212121212441212121212121212121212121212121212121212888824242424242424244488881212121224242424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000002i−2i000000002i2i−2i−2i0000
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000−2i2i00000000−2i−2i2i2i0000
χ112222222-122222222-12-12-12-1-1-1-1-1-1-1-1-1-1222-1-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-10000
χ122222222-122222222-12-12-12-1-1-1-1-1-1-1-1-1-1222-1-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-20000111111110000
χ132222222-122222222-12-12-12-1-1-1-1-1-1-1-1-1-1222-1-12-1-1-2-2-2-2-2-21111-1-1-1-1111111110000000000000022-2-20000-1-1-1-111110000
χ142222222-122222222-12-12-12-1-1-1-1-1-1-1-1-1-1222-1-12-1-1-2-2-2-2-2-21111-1-1-1-11111111100000000000000-2-22200001111-1-1-1-10000
χ152222222-1-2-2-2-22222-12-12-12-1-1-1-1-1-1-1-1-1-1-2-2-211-211000000−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i300000000000000002i−2i000033−3−3−i−iii0000
χ162222222-1-2-2-2-22222-12-12-12-1-1-1-1-1-1-1-1-1-1-2-2-211-211000000−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i30000000000000000−2i2i0000−3−333ii−i−i0000
χ172222222-1-2-2-2-22222-12-12-12-1-1-1-1-1-1-1-1-1-1-2-2-211-211000000i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i300000000000000002i−2i0000−3−333−i−iii0000
χ182222222-1-2-2-2-22222-12-12-12-1-1-1-1-1-1-1-1-1-1-2-2-211-211000000i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i30000000000000000−2i2i000033−3−3ii−i−i0000
χ19222222-122222-1-1-1-12-12-12-1-122-1-1-1-1-1-1-1-1-1-122-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ20222222-122222-1-1-1-12-12-12-1-122-1-1-1-1-1-1-1-1-1-122-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ21222222-122222-1-1-1-12-12-12-1-122-1-1-1-1-1-1-1-1-1-122-122-2-21111-2-2-2-2-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-200001111000000000000
χ22222222-122222-1-1-1-12-12-12-1-122-1-1-1-1-1-1-1-1-1-122-122-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-211111111220000-1-1-1-1000000000000
χ232222-2-2222-22-2-2-2-2-22222222-2-22-2-2-2-2222-2-22-222-2000000000022-2-20000000022-2-22222-2-2-2-20000000000000000000000
χ242222-2-2222-22-2-2-2-2-22222222-2-22-2-2-2-2222-2-22-222-2000000000022-2-200000000-2-222-2-2-2-222220000000000000000000000
χ252222-2-222-22-22-2-2-2-22222222-2-22-2-2-2-222-222-22-2-220000000000-2-222000000000000000000000000000000000000002-200
χ262222-2-222-22-22-2-2-2-22222222-2-22-2-2-2-222-222-22-2-220000000000-2-22200000000000000000000000000000000000000-2200
χ272222-2-2-122-22-211112-12-12-1-1-2-2-11111-1-1-1112-2-12-200−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i322-2-2-1-1-1-11111000000−i3−i3i3i3000000000000
χ282222-2-2-122-22-211112-12-12-1-1-2-2-11111-1-1-1112-2-12-200−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i3-2-2221111-1-1-1-1000000i3i3−i3−i3000000000000
χ292222-2-2-122-22-211112-12-12-1-1-2-2-11111-1-1-1112-2-12-200i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i322-2-2-1-1-1-11111000000i3i3−i3−i3000000000000
χ302222-2-2-122-22-211112-12-12-1-1-2-2-11111-1-1-1112-2-12-200i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i3-2-2221111-1-1-1-1000000−i3−i3i3i3000000000000
χ3122-2-22-22222-2-222-2-2-222-2-2-222-2-222-2-22-222-22-2-2-2200000000002-22-200000000000000000000002-20000002-22-200000000
χ3222-2-22-22222-2-222-2-2-222-2-2-222-2-222-2-22-222-22-2-2-2200000000002-22-20000000000000000000000-22000000-22-2200000000
χ3322-2-22-222-2-22222-2-2-222-2-2-222-2-222-2-22-2-2-22-2222-22i−2i2i−2i2i−2i2i−2i2i−2i-22-222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000
χ3422-2-22-222-2-22222-2-2-222-2-2-222-2-222-2-22-2-2-22-2222-2−2i2i−2i2i−2i2i−2i2i−2i2i-22-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000
χ3522-2-22-22-122-2-222-2-212-1-21-2-1-111-1-111-1122-2-11-21-10000003−3−33-11-113−33−3−33−33000000000000002-2000000-11-113−33−30000
χ3622-2-22-22-122-2-222-2-212-1-21-2-1-111-1-111-1122-2-11-21-10000003−3−33-11-113−33−3−33−3300000000000000-220000001-11-1−33−330000
χ3722-2-22-22-122-2-222-2-212-1-21-2-1-111-1-111-1122-2-11-21-1000000−333−3-11-11−33−333−33−3000000000000002-2000000-11-11−33−330000
χ3822-2-22-22-122-2-222-2-212-1-21-2-1-111-1-111-1122-2-11-21-1000000−333−3-11-11−33−333−33−300000000000000-220000001-11-13−33−30000
χ3922-2-22-22-1-2-22222-2-212-1-21-2-1-111-1-111-11-2-221-12-112i−2i2i−2i2i−2i−ii−ii1-11-1−ii−ii−ii−ii00000000000000000000003−3−33i3−i3−i3i30000
χ4022-2-22-22-1-2-22222-2-212-1-21-2-1-111-1-111-11-2-221-12-112i−2i2i−2i2i−2i−ii−ii1-11-1−ii−ii−ii−ii0000000000000000000000−333−3−i3i3i3−i30000
χ4122-2-22-22-1-2-22222-2-212-1-21-2-1-111-1-111-11-2-221-12-11−2i2i−2i2i−2i2ii−ii−i1-11-1i−ii−ii−ii−i00000000000000000000003−3−33−i3i3i3−i30000
χ4222-2-22-22-1-2-22222-2-212-1-21-2-1-111-1-111-11-2-221-12-11−2i2i−2i2i−2i2ii−ii−i1-11-1i−ii−ii−ii−i0000000000000000000000−333−3i3−i3−i3i30000
χ4322-2-22-2-12-2-222-1-111-2-121-21-12-21-1-111-1111-1-22-12-22i−2i−ii−ii2i−2i2i−2i1-11-1−ii−ii−ii−ii0000−i3−i3i3i3−i3−i3i3i30000003−33−3000000000000
χ4422-2-22-2-12-2-222-1-111-2-121-21-12-21-1-111-1111-1-22-12-22i−2i−ii−ii2i−2i2i−2i1-11-1−ii−ii−ii−ii0000i3i3−i3−i3i3i3−i3−i3000000−33−33000000000000
χ4522-2-22-2-12-2-222-1-111-2-121-21-12-21-1-111-1111-1-22-12-2−2i2ii−ii−i−2i2i−2i2i1-11-1i−ii−ii−ii−i0000−i3−i3i3i3−i3−i3i3i3000000−33−33000000000000
χ4622-2-22-2-12-2-222-1-111-2-121-21-12-21-1-111-1111-1-22-12-2−2i2ii−ii−i−2i2i−2i2i1-11-1i−ii−ii−ii−i0000i3i3−i3−i3i3i3−i3−i30000003−33−3000000000000
χ4722-2-2-22222-2-22-2-222-222-2-2-22-22-2-2-2222-22-2222-2-2-200000000002-2-2200000000000000000000000000000000000000002-2
χ4822-2-2-22222-2-22-2-222-222-2-2-22-22-2-2-2222-22-2222-2-2-200000000002-2-220000000000000000000000000000000000000000-22
χ4922-2-2-2222-222-2-2-222-222-2-2-22-22-2-2-2222-2-22-2-2-22220000000000-222-2000000000000000000002i−2i00002i−2i−2i2i000000000000
χ5022-2-2-2222-222-2-2-222-222-2-2-22-22-2-2-2222-2-22-2-2-22220000000000-222-200000000000000000000−2i2i0000−2i2i2i−2i000000000000
χ5122-2-2-22-12-222-211-1-1-2-121-21-1-22111-1-1-111-11-2-2-122003−3−3300001-1-113−3−333−3−330000−i3−i3i3i3i3i3−i3−i32i−2i0000−iii−i000000000000
χ5222-2-2-22-12-222-211-1-1-2-121-21-1-22111-1-1-111-11-2-2-122003−3−3300001-1-113−3−333−3−330000i3i3−i3−i3−i3−i3i3i3−2i2i0000i−i−ii000000000000
χ5322-2-2-22-12-222-211-1-1-2-121-21-1-22111-1-1-111-11-2-2-12200−333−300001-1-11−333−3−333−30000−i3−i3i3i3i3i3−i3−i3−2i2i0000i−i−ii000000000000
χ5422-2-2-22-12-222-211-1-1-2-121-21-1-22111-1-1-111-11-2-2-12200−333−300001-1-11−333−3−333−30000i3i3−i3−i3−i3−i3i3i32i−2i0000−iii−i000000000000
χ55444444-24-4-4-4-4-2-2-2-24-24-24-2-244-2-2-2-2-2-2-2222-4-42-4-400000000002222000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-2111111122222222000000−2i3−2i32i32i3-1-1-1-1i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222220000002i32i3−2i3−2i3-1-1-1-1−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ604444-4-44-24-44-4-4-4-4-4-24-24-24-222-22222-2-24-4-4-224-220000000000-2-222000000000000000000000000000000000000000000
χ614444-4-44-2-44-44-4-4-4-4-24-24-24-222-22222-2-2-4442-2-42-2000000000022-2-2000000000000000000000000000000000000000000
χ624444-4-4-24-44-4422224-24-24-2-2-4-4-22222-2-22-2-2-442-44000000000022-2-2000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-42222-2-2-2-2-2-21221-1-1-1-111-222-22-2-2200−2i3−2i32i32i3000011-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-4-4-2-24-44-42222-2-2-2-2-2-21221-1-1-1-111-222-22-2-22002i32i3−2i3−2i3000011-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-4-4-2-2-44-442222-2-2-2-2-2-21221-1-1-1-1112-2-22-222-20000000000-1-11133-3-3-3-3330000000000000000000000000000000000
χ664444-4-4-2-2-44-442222-2-2-2-2-2-21221-1-1-1-1112-2-22-222-20000000000-1-111-3-33333-3-30000000000000000000000000000000000
χ6744-4-44-4-2444-4-4-2-222-4-242-42-24-42-2-222-22-2-224-42-440000000000-22-22000000000000000000000000000000000000000000
χ6844-4-44-4-2-244-4-4-2-2222-2-22221-22-111-1-11-1-2-22-2222-200000023−23−23231-11-1−33−333−33−30000000000000000000000000000000000
χ6944-4-44-4-2-244-4-4-2-2222-2-22221-22-111-1-11-1-2-22-2222-2000000−232323−231-11-13−33−3−33−330000000000000000000000000000000000
χ7044-4-44-4-2-2-4-444-2-2222-2-22221-22-111-1-11-122-22-2-2-224i−4i−2i2i−2i2i−2i2i−2i2i-11-11i−ii−ii−ii−i0000000000000000000000000000000000
χ7144-4-44-4-2-2-4-444-2-2222-2-22221-22-111-1-11-122-22-2-2-22−4i4i2i−2i2i−2i2i−2i2i−2i-11-11−ii−ii−ii−ii0000000000000000000000000000000000
χ7244-4-4-444-24-4-44-4-44424-2-42-4-22-2222-2-2-224-44-2-2-4220000000000-222-2000000000000000000000000000000000000000000
χ7344-4-4-444-2-444-4-4-44424-2-42-4-22-2222-2-2-22-44-4224-2-200000000002-2-22000000000000000000000000000000000000000000
χ7444-4-4-44-244-4-4422-2-2-4-242-42-2-44222-2-2-22-22-2442-4-40000000000-222-2000000000000000000000000000000000000000000
χ7544-4-4-44-2-24-4-4422-2-22-2-222212-2-1-1-1111-1-22-2-2-222200000000001-1-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ7644-4-4-44-2-24-4-4422-2-22-2-222212-2-1-1-1111-1-22-2-2-222200000000001-1-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ7744-4-4-44-2-2-444-422-2-22-2-222212-2-1-1-1111-12-2222-2-2-20023−23−23230000-111-1−333−3−333−30000000000000000000000000000000000
χ7844-4-4-44-2-2-444-422-2-22-2-222212-2-1-1-1111-12-2222-2-2-200−232323−230000-111-13−3−333−3−330000000000000000000000000000000000
χ794-44-4004400000000-4-4-444-4400-40000-4400000000000000000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000000
χ804-44-4004400000000-4-4-444-4400-40000-44000000000000000000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000000
χ814-44-400-240000−2i32i3−2i32i3-42-4-242-2002−2i32i3−2i32i32-200000000000000000000000000000000−2i22i26−66−6i2−i2i2−i20000000000000000000000
χ824-44-400-240000−2i32i3−2i32i3-42-4-242-2002−2i32i3−2i32i32-2000000000000000000000000000000002i2−2i2−66−66−i2i2−i2i20000000000000000000000
χ834-44-400-2400002i3−2i32i3−2i3-42-4-242-20022i3−2i32i3−2i32-200000000000000000000000000000000−2i22i2−66−66i2−i2i2−i20000000000000000000000
χ844-44-400-2400002i3−2i32i3−2i3-42-4-242-20022i3−2i32i3−2i32-2000000000000000000000000000000002i2−2i26−66−6−i2i2−i2i20000000000000000000000
χ854-4-440044000000004-4-4-4-4440040000-4-4000000000000000000000000000000−2i22i200−2i22i22i2−2i200000000000000000000000000
χ864-4-440044000000004-4-4-4-4440040000-4-40000000000000000000000000000002i2−2i2002i2−2i2−2i22i200000000000000000000000000
χ874-4-4400-240000−2i32i32i3−2i342-42-4-2-200-2−2i32i32i3−2i322000000000000000000000000000000−2i22i200i2−i2−i2i26−6−660000000000000000000000
χ884-4-4400-240000−2i32i32i3−2i342-42-4-2-200-2−2i32i32i3−2i3220000000000000000000000000000002i2−2i200−i2i2i2−i2−666−60000000000000000000000
χ894-4-4400-2400002i3−2i3−2i32i342-42-4-2-200-22i3−2i3−2i32i322000000000000000000000000000000−2i22i200i2−i2−i2i2−666−60000000000000000000000
χ904-4-4400-2400002i3−2i3−2i32i342-42-4-2-200-22i3−2i3−2i32i3220000000000000000000000000000002i2−2i200−i2i2i2−i26−6−660000000000000000000000
χ918-88-8008-4000000004-848-4-8-400400004-40000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000−4i34i3−4i34i3444-4-44200-22i3−2i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-400004i3−4i34i3−4i3444-4-44200-2−2i32i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000
χ948-8-88008-400000000-4-84-848-400-40000440000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-40000−4i34i34i3−4i3-44444-420022i3−2i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004i3−4i3−4i34i3-44444-42002−2i32i32i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000

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