Finite Group Databasebeta

← Group #11873301

Character table — Group #11873301

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212124444481212121212121212242424242424242424444466881212121212121212124481212121212121224242424444488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111-111111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-1-111-1-1111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-11-111-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-111111-11-1-1-1-1-1111-1-111-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1111-11-1-11111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-111-1-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111-1-111-1-1-1111-1-1-1-1-1-11-1-11-1-111
χ10111111111111111-1-1111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-11-1-1-1-111-111-1-111-111-111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-11-1-111111-1-1111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-1-111-1-1-111
χ13111111111111111-1-11111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-1-11111-1-11-1-111-1-1-111-1111-1
χ14111111111111111-1-11111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1-1-1-1111-1-1-11111111-1-11-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-111-1-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-111-1-1-1-11-1-11111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-2000000002-20000220022-2-2000000000000-2000000-20020000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000-220000-2-20022-2-20000000000002000000200-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-2000000002-200002200-2-222000000000000-2000000200-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000-220000-2-200-2-2220000000000002000000-20020000
χ2122222-122-1-1222-1-122-1-1-12-12-10000222222-1-1-1-122-1-1-1-1-1-1222200-1-1220000-1-1-1-1-10200000-1-1-100-1-1000000-10
χ2222222-122-1-1222-1-122-1-1-12-12-10000222222-1-1-1-122-1-1-1-1-1-1-2-2-2-20011-2-20000-1-1-1-1-10-200000111001100000010
χ2322222-122-1-1222-1-122-1-1-12-12-10000-2-2-2-222-1-1-1-1-2-2111111222200-1-1-2-20000111-1-10-200000-1-1-1001100000010
χ2422222-122-1-1222-1-122-1-1-12-12-10000-2-2-2-222-1-1-1-1-2-2111111-2-2-2-20011220000111-1-1020000011100-1-1000000-10
χ2522222-122-1-1222-1-1-2-2-1-1-12-12-100002-222-2-211-1-1-2-211111122-2-200-1-1-2-20000-1-1-1110200000-1110011000000-10
χ2622222-122-1-1222-1-1-2-2-1-1-12-12-100002-222-2-211-1-1-2-2111111-2-2220011220000-1-1-1110-2000001-1-100-1-100000010
χ2722222-122-1-1222-1-1-2-2-1-1-12-12-10000-22-2-2-2-211-1-122-1-1-1-1-1-122-2-200-1-1220000111110-200000-11100-1-100000010
χ2822222-122-1-1222-1-1-2-2-1-1-12-12-10000-22-2-2-2-211-1-122-1-1-1-1-1-1-2-2220011-2-200001111102000001-1-10011000000-10
χ292222-122222-1-1-12-122-1-1-1-12-12222222-1-1-1-122-1-1-1-122-1-1-1-10000220000-1-1-1-12-1-1-1-1202-1-1-1-1000-1-10000000000
χ302222-122222-1-1-12-122-1-1-1-12-122222-2-211-1-122-1-111-2-211110000220000-1-1-1-1-211-1-1-20-2-1-111000110000000000
χ312222-122222-1-1-12-122-1-1-1-12-12-2-2-2-222-1-1-1-122-1-1-1-122-1-1-1-10000-2-2000011112-1-1-1-1-20-21111000110000000000
χ322222-122222-1-1-12-122-1-1-1-12-12-2-2-2-2-2-211-1-122-1-111-2-211110000-2-200001111-211-1-120211-1-1000-1-10000000000
χ332222-122222-1-1-12-1-2-2-1-1-1-12-1222222-2-1-111-2-2-1-111-2-211110000-2-20000-1-1-1-12-1-11120-211-1-1000110000000000
χ342222-122222-1-1-12-1-2-2-1-1-1-12-122222-221111-2-2-1-1-1-122-1-1-1-10000-2-20000-1-1-1-1-21111-2021111000-1-10000000000
χ352222-122222-1-1-12-1-2-2-1-1-1-12-12-2-2-2-22-2-1-111-2-2-1-111-2-21111000022000011112-1-111-202-1-111000-1-10000000000
χ362222-122222-1-1-12-1-2-2-1-1-1-12-12-2-2-2-2-221111-2-2-1-1-1-122-1-1-1-100002200001111-2111120-2-1-1-1-1000110000000000
χ3722-2-2222-2-2-2-22-2222-2-2-22-2-2222i−2i2i−2i00002-22-22-20000000000002i−2i00002i−2i2i−2i0002-20002i−2i00000000000000000
χ3822-2-2222-2-2-2-22-2222-2-2-22-2-222−2i2i−2i2i00002-22-22-2000000000000−2i2i0000−2i2i−2i2i0002-2000−2i2i00000000000000000
χ3922-2-2222-2-2-2-22-222-22-2-22-2-2222i−2i2i−2i0000-22-222-2000000000000−2i2i00002i−2i2i−2i000-22000−2i2i00000000000000000
χ4022-2-2222-2-2-2-22-222-22-2-22-2-222−2i2i−2i2i0000-22-222-20000000000002i−2i0000−2i2i−2i2i000-220002i−2i00000000000000000
χ4122-2-222-22-2-2-22-22200-2-2222-2-22i−2i−2i2i00000000-2200000000002-20000002i−2i−2i2i00000000000002-2000002i−2i00000
χ4222-2-222-22-2-2-22-22200-2-2222-2-22i−2i−2i2i00000000-220000000000-220000002i−2i−2i2i0000000000000-2200000−2i2i00000
χ4322-2-222-22-2-2-22-22200-2-2222-2-2−2i2i2i−2i00000000-2200000000002-2000000−2i2i2i−2i00000000000002-200000−2i2i00000
χ4422-2-222-22-2-2-22-22200-2-2222-2-2−2i2i2i−2i00000000-220000000000-22000000−2i2i2i−2i0000000000000-22000002i−2i00000
χ4522-2-2-122-2-2-21-112-12-211-11-2-122i−2i2i−2i003−3-112-2-113−30033−3−300002i−2i0000−ii−ii03−3-11000−ii−i3i3000−i3i30000000000
χ4622-2-2-122-2-2-21-112-12-211-11-2-122i−2i2i−2i00−33-112-2-11−3300−3−33300002i−2i0000−ii−ii0−33-11000−iii3−i3000i3−i30000000000
χ4722-2-2-122-2-2-21-112-12-211-11-2-12−2i2i−2i2i003−3-112-2-113−30033−3−30000−2i2i0000i−ii−i03−3-11000i−ii3−i3000i3−i30000000000
χ4822-2-2-122-2-2-21-112-12-211-11-2-12−2i2i−2i2i00−33-112-2-11−3300−3−3330000−2i2i0000i−ii−i0−33-11000i−i−i3i3000−i3i30000000000
χ4922-2-2-122-2-2-21-112-1-2211-11-2-122i−2i2i−2i003−31-1-22-11−3300−3−3330000−2i2i0000−ii−ii03−31-1000i−i−i3i3000i3−i30000000000
χ5022-2-2-122-2-2-21-112-1-2211-11-2-122i−2i2i−2i00−331-1-22-113−30033−3−30000−2i2i0000−ii−ii0−331-1000i−ii3−i3000−i3i30000000000
χ5122-2-2-122-2-2-21-112-1-2211-11-2-12−2i2i−2i2i003−31-1-22-11−3300−3−33300002i−2i0000i−ii−i03−31-1000−iii3−i3000−i3i30000000000
χ5222-2-2-122-2-2-21-112-1-2211-11-2-12−2i2i−2i2i00−331-1-22-113−30033−3−300002i−2i0000i−ii−i0−331-1000−ii−i3i3000i3−i30000000000
χ5344444-2-4-4-2-2444-2-200-2-2-2-42-4200000000000022000000004-40000-2-2000000000000000000200000000000000
χ5444444-2-4-4-2-2444-2-200-2-2-2-42-420000000000002200000000-44000022000000000000000000-200000000000000
χ554444-24-4-444-2-2-24-200-2-2-22-42-444-4-40000000022000000000000000000-2-222000000000000000000000000000
χ564444-24-4-444-2-2-24-200-2-2-22-42-4-4-444000000002200000000000000000022-2-2000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-422-2-2-2-2112222-1-1-1-1000000000000002-1-1110000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-4-2-22222112222-1-1-1-100000000000000-211-1-10000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44-24-422-44-4-2-24-422-2-424-2000000004-4-22-220000000000000000000000000-220000000000000000000000
χ6244-4-44-24-422-44-4-2-2-4422-2-424-200000000-442-2-2200000000000000000000000002-20000000000000000000000
χ6344-4-44-2-4422-44-4-2-20022-24-2-420000000000002-200000000004-400000000000000000000000-22000000000000
χ6444-4-44-2-4422-44-4-2-20022-24-2-420000000000002-20000000000-44000000000000000000000002-2000000000000
χ6544-4-4-24-44-4-42-224-20022-2-242-44i−4i−4i4i000000002-2000000000000000000−2i2i2i−2i000000000000000000000000000
χ6644-4-4-24-44-4-42-224-20022-2-242-4−4i4i4i−4i000000002-20000000000000000002i−2i−2i2i000000000000000000000000000
χ6744-4-4-2-24-4222-22-214-4-1-1122-2-200000023−23-22-221-123−2300−3−333000000000000000−331-10000000000000000000000
χ6844-4-4-2-24-4222-22-214-4-1-1122-2-2000000−2323-22-221-1−23230033−3−30000000000000003−31-10000000000000000000000
χ6944-4-4-2-24-4222-22-21-44-1-1122-2-200000023−232-22-21-1−23230033−3−3000000000000000−33-110000000000000000000000
χ7044-4-4-2-24-4222-22-21-44-1-1122-2-2000000−23232-22-21-123−2300−3−3330000000000000003−3-110000000000000000000000
χ714-44-44400-444-4-4-4400-44-400000000000000000000000000000000000000000000000000000000000000022−2200
χ724-44-44400-444-4-4-4400-44-4000000000000000000000000000000000000000000000000000000000000000−222200
χ734-4-4444004-4-4-44-44004-4-4000000000000000000000000000000000022−2200000000000000000000022−2200000000
χ744-4-4444004-4-4-44-44004-4-40000000000000000000000000000000000−2222000000000000000000000−222200000000
χ754-4-444-200-22-4-442-200-22200000000000000000000i6−i6i6−i6i6−i6000000−2i32i322−22000000000000000000000−2200000000
χ764-4-444-200-22-4-442-200-22200000000000000000000i6−i6i6−i6i6−i60000002i3−2i3−22220000000000000000000002−200000000
χ774-4-444-200-22-4-442-200-22200000000000000000000−i6i6−i6i6−i6i6000000−2i32i3−22220000000000000000000002−200000000
χ784-4-444-200-22-4-442-200-22200000000000000000000−i6i6−i6i6−i6i60000002i3−2i322−22000000000000000000000−2200000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-4-88444-44-4200-2-22-4-444000000000000-220000000000000000000000000000000000000000000000000
χ818-88-88-4004-48-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4800-88-444-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-4004-4-4444200-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ848-88-8-4-4004-4-4444200-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ858-8-88-48008-844-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-4444-442002-2-2000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ878-8-88-4-400-4444-442002-2-200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000

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