Finite Group Databasebeta

← Group #11794393

Character table — Group #11794393

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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000000000002i−2i0000002i2i−2i−2i00000000
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000−2i2i000000−2i−2i2i2i00000000
χ112222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-1222-1-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-10000
χ122222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-1222-1-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-20000111111110000
χ132222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-1222-1-12-1-1-2-2-2-2-2-21111-1-1-1-1111111110000000000000022-2-20000-1-1-1-111110000
χ142222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-1222-1-12-1-1-2-2-2-2-2-21111-1-1-1-11111111100000000000000-2-22200001111-1-1-1-10000
χ152222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-1-2-2-211-211000000−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i3000000000000002i−2i000000−i−iii33−3−30000
χ162222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-1-2-2-211-211000000−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i300000000000000−2i2i000000ii−i−i−3−3330000
χ172222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-1-2-2-211-211000000i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i3000000000000002i−2i000000−i−iii−3−3330000
χ182222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-1-2-2-211-211000000i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i300000000000000−2i2i000000ii−i−i33−3−30000
χ19222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-1-1-122-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ20222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-1-1-122-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ21222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-1-1-122-122-2-21111-2-2-2-2-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-200001111000000000000
χ22222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-1-1-122-122-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-211111111220000-1-1-1-1000000000000
χ232222-2-2222-22-22-2-2-2-2222222-2-222-2-2-2-222-2-22-222-2000000000022-2-20000000022-2-22222-2-2-2-20000000000000000000000
χ242222-2-2222-22-22-2-2-2-2222222-2-222-2-2-2-222-2-22-222-2000000000022-2-200000000-2-222-2-2-2-222220000000000000000000000
χ252222-2-222-22-222-2-2-2-2222222-2-222-2-2-2-22-222-22-2-220000000000-2-222000000000000000000000000000000000000002-200
χ262222-2-222-22-222-2-2-2-2222222-2-222-2-2-2-22-222-22-2-220000000000-2-22200000000000000000000000000000000000000-2200
χ272222-2-2-122-22-2-1111122-12-1-1-2-2-1-11111-1-1112-2-12-200−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i322-2-2-1-1-1-11111000000−i3−i3i3i3000000000000
χ282222-2-2-122-22-2-1111122-12-1-1-2-2-1-11111-1-1112-2-12-200−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i3-2-2221111-1-1-1-1000000i3i3−i3−i3000000000000
χ292222-2-2-122-22-2-1111122-12-1-1-2-2-1-11111-1-1112-2-12-200i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i322-2-2-1-1-1-11111000000i3i3−i3−i3000000000000
χ302222-2-2-122-22-2-1111122-12-1-1-2-2-1-11111-1-1112-2-12-200i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i3-2-2221111-1-1-1-1000000−i3−i3i3i3000000000000
χ3122-2-22-22222-2-2-222-2-2-2-222-222-2-2-222-2-2222-222-2-2-22-22-22-22-22-22-22-22-22-22-22-20000000000000000000000000000000000
χ3222-2-22-22222-2-2-222-2-2-2-222-222-2-2-222-2-2222-222-2-2-2-22-22-22-22-222-22-2-22-22-22-220000000000000000000000000000000000
χ3322-2-22-222-2-222-222-2-2-2-222-222-2-2-222-2-22-2-22-2-22220000000000-22-220000000000000000000000002-2000000002-22-20000
χ3422-2-22-222-2-222-222-2-2-2-222-222-2-2-222-2-22-2-22-2-22220000000000-22-22000000000000000000000000-2200000000-22-220000
χ3522-2-22-22-122-2-2-222-2-2112-1-2-1-1111-1-111-122-2-1-1-2112-22-22-2-11-11-11-11-11-11-11-1100000000000000000000003−33−33−3−330000
χ3622-2-22-22-122-2-2-222-2-2112-1-2-1-1111-1-111-122-2-1-1-2112-22-22-2-11-11-11-11-11-11-11-110000000000000000000000−33−33−333−30000
χ3722-2-22-22-122-2-2-222-2-2112-1-2-1-1111-1-111-122-2-1-1-211-22-22-221-11-1-11-111-11-11-11-100000000000000000000003−33−3−333−30000
χ3822-2-22-22-122-2-2-222-2-2112-1-2-1-1111-1-111-122-2-1-1-211-22-22-221-11-1-11-111-11-11-11-10000000000000000000000−33−333−3−330000
χ3922-2-22-22-1-2-222-222-2-2112-1-2-1-1111-1-111-1-2-22112-1-1000000−i3i3i3−i31-11-1−i3i3−i3i3i3−i3i3−i300000000000000002-20000−i3i3i3−i3-11-110000
χ4022-2-22-22-1-2-222-222-2-2112-1-2-1-1111-1-111-1-2-22112-1-1000000−i3i3i3−i31-11-1−i3i3−i3i3i3−i3i3−i30000000000000000-220000i3−i3−i3i31-11-10000
χ4122-2-22-22-1-2-222-222-2-2112-1-2-1-1111-1-111-1-2-22112-1-1000000i3−i3−i3i31-11-1i3−i3i3−i3−i3i3−i3i300000000000000002-20000i3−i3−i3i3-11-110000
χ4222-2-22-22-1-2-222-222-2-2112-1-2-1-1111-1-111-1-2-22112-1-1000000i3−i3−i3i31-11-1i3−i3i3−i3−i3i3−i3i30000000000000000-220000−i3i3i3−i31-11-10000
χ4322-2-22-2-1222-2-21-1-111-2-2-121-12-211-1-111-1-1-11221-2-22-2-11-112-22-2-11-11-11-11-11-11000033−3−333−3−30000003−33−3000000000000
χ4422-2-22-2-1222-2-21-1-111-2-2-121-12-211-1-111-1-1-11221-2-22-2-11-112-22-2-11-11-11-11-11-110000−3−333−3−333000000−33−33000000000000
χ4522-2-22-2-1222-2-21-1-111-2-2-121-12-211-1-111-1-1-11221-2-2-221-11-1-22-22-11-111-11-11-11-1000033−3−333−3−3000000−33−33000000000000
χ4622-2-22-2-1222-2-21-1-111-2-2-121-12-211-1-111-1-1-11221-2-2-221-11-1-22-22-11-111-11-11-11-10000−3−333−3−3330000003−33−3000000000000
χ4722-2-2-22222-2-22-2-2-222-2-222-22-22-2-2-2-22222-222-2-2-2200000000002-2-22000000000000000000002i−2i00002i−2i−2i2i000000000000
χ4822-2-2-22222-2-22-2-2-222-2-222-22-22-2-2-2-22222-222-2-2-2200000000002-2-2200000000000000000000−2i2i0000−2i2i2i−2i000000000000
χ4922-2-2-2222-222-2-2-2-222-2-222-22-22-2-2-2-2222-22-2-2222-20000000000-222-200000000000000000000000000000000000000002i−2i
χ5022-2-2-2222-222-2-2-2-222-2-222-22-22-2-2-2-2222-22-2-2222-20000000000-222-20000000000000000000000000000000000000000−2i2i
χ5122-2-2-22-122-2-22111-1-1-2-2-121-1-221111-1-1-1-11-12-21-2200−i3i3i3−i30000-111-1−i3i3i3−i3−i3i3i3−i3000033−3−3−3−3332i−2i0000−iii−i000000000000
χ5222-2-2-22-122-2-22111-1-1-2-2-121-1-221111-1-1-1-11-12-21-2200−i3i3i3−i30000-111-1−i3i3i3−i3−i3i3i3−i30000−3−33333−3−3−2i2i0000i−i−ii000000000000
χ5322-2-2-22-122-2-22111-1-1-2-2-121-1-221111-1-1-1-11-12-21-2200i3−i3−i3i30000-111-1i3−i3−i3i3i3−i3−i3i3000033−3−3−3−333−2i2i0000i−i−ii000000000000
χ5422-2-2-22-122-2-22111-1-1-2-2-121-1-221111-1-1-1-11-12-21-2200i3−i3−i3i30000-111-1i3−i3−i3i3i3−i3−i3i30000−3−33333−3−32i−2i0000−iii−i000000000000
χ55444444-24-4-4-4-4-2-2-2-2-244-24-2-244-2-2-2-2-2-2-2222-4-42-4-400000000002222000000000000000000000000000000000000000000
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
χ604444-4-44-24-44-44-4-4-4-4-2-24-24-222-2-22222-24-4-4-224-220000000000-2-222000000000000000000000000000000000000000000
χ614444-4-44-2-44-444-4-4-4-4-2-24-24-222-2-22222-2-4442-2-42-2000000000022-2-2000000000000000000000000000000000000000000
χ624444-4-4-24-44-44-2222244-24-2-2-4-4-2-22222-22-2-2-442-44000000000022-2-2000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-22222-2-2-2-2-212211-1-1-1-11-222-22-2-2200−2i3−2i32i32i3000011-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-4-4-2-24-44-4-22222-2-2-2-2-212211-1-1-1-11-222-22-2-22002i32i3−2i3−2i3000011-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-4-4-2-2-44-44-22222-2-2-2-2-212211-1-1-1-112-2-22-222-20000000000-1-11133-3-3-3-3330000000000000000000000000000000000
χ664444-4-4-2-2-44-44-22222-2-2-2-2-212211-1-1-1-112-2-22-222-20000000000-1-111-3-33333-3-30000000000000000000000000000000000
χ6744-4-44-4-24-4-4442-2-222-4-4-242-24-422-2-222-222-2-4-4-24400000000002-22-2000000000000000000000000000000000000000000
χ6844-4-44-4-2-244-4-42-2-22222-2-221-22-1-111-1-11-2-22-2-22224-4-22-22-22-221-11-11-11-11-11-10000000000000000000000000000000000
χ6944-4-44-4-2-244-4-42-2-22222-2-221-22-1-111-1-11-2-22-2-2222-442-22-22-22-21-11-1-11-11-11-110000000000000000000000000000000000
χ7044-4-44-4-2-2-4-4442-2-22222-2-221-22-1-111-1-1122-222-2-2-2000000−2i32i32i3−2i3-11-11i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ7144-4-44-4-2-2-4-4442-2-22222-2-221-22-1-111-1-1122-222-2-2-20000002i3−2i3−2i32i3-11-11−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
χ7244-4-4-444-24-4-44-4-4-444224-2-4-22-22222-2-2-24-44-22-42-20000000000-222-2000000000000000000000000000000000000000000
χ7344-4-4-444-2-444-4-4-4-444224-2-4-22-22222-2-2-2-44-42-24-2200000000002-2-22000000000000000000000000000000000000000000
χ7444-4-4-44-24-444-4222-2-2-4-4-242-2-442222-2-2-22-22-44-24-400000000002-2-22000000000000000000000000000000000000000000
χ7544-4-4-44-2-24-4-44222-2-222-2-2212-2-1-1-1-1111-22-2-2222-200−2i32i32i3−2i300001-1-11i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000
χ7644-4-4-44-2-24-4-44222-2-222-2-2212-2-1-1-1-1111-22-2-2222-2002i3−2i3−2i32i300001-1-11−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000
χ7744-4-4-44-2-2-444-4222-2-222-2-2212-2-1-1-1-11112-222-2-2-220000000000-111-13-3-33-333-30000000000000000000000000000000000
χ7844-4-4-44-2-2-444-4222-2-222-2-2212-2-1-1-1-11112-222-2-2-220000000000-111-1-333-33-3-330000000000000000000000000000000000
χ794-44-400440000400004-4-4-4-44004-40000-40000000000000000000000000000000022−22000022−2222−220000000000000000000000
χ804-44-400440000400004-4-4-4-44004-40000-400000000000000000000000000000000−22220000−2222−22220000000000000000000000
χ814-44-400-240000-2−2i32i3−2i32i34-42-42-200-22−2i32i3−2i32i320000000000000000000000000000000022−22i6−i6i6−i6−22−220000000000000000000000
χ824-44-400-240000-2−2i32i3−2i32i34-42-42-200-22−2i32i3−2i32i3200000000000000000000000000000000−2222−i6i6−i6i62−22−20000000000000000000000
χ834-44-400-240000-22i3−2i32i3−2i34-42-42-200-222i3−2i32i3−2i320000000000000000000000000000000022−22−i6i6−i6i6−22−220000000000000000000000
χ844-44-400-240000-22i3−2i32i3−2i34-42-42-200-222i3−2i32i3−2i3200000000000000000000000000000000−2222i6−i6i6−i62−22−20000000000000000000000
χ854-4-4400440000-40000-44-4-44400-440000-4000000000000000000000000000000−2i22i200−2i22i22i2−2i200000000000000000000000000
χ864-4-4400440000-40000-44-4-44400-440000-40000000000000000000000000000002i2−2i2002i2−2i2−2i22i200000000000000000000000000
χ874-4-4400-2400002−2i32i32i3−2i3-442-4-2-2002-2−2i32i32i3−2i32000000000000000000000000000000−2i22i200i2−i2−i2i26−6−660000000000000000000000
χ884-4-4400-2400002−2i32i32i3−2i3-442-4-2-2002-2−2i32i32i3−2i320000000000000000000000000000002i2−2i200−i2i2i2−i2−666−60000000000000000000000
χ894-4-4400-24000022i3−2i3−2i32i3-442-4-2-2002-22i3−2i3−2i32i32000000000000000000000000000000−2i22i200i2−i2−i2i2−666−60000000000000000000000
χ904-4-4400-24000022i3−2i3−2i32i3-442-4-2-2002-22i3−2i3−2i32i320000000000000000000000000000002i2−2i200−i2i2i2−i26−6−660000000000000000000000
χ918-88-8008-4000080000-44-84-8-400-44000040000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-4−4i34i3−4i34i3-444442002-22i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-40000-44i3−4i34i3−4i3-444442002-2−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ948-8-88008-40000-800004-4-848-4004-4000040000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004−4i34i34i3−4i34-444-4200-222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044i3−4i3−4i34i34-444-4200-22−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000

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