Finite Group Databasebeta

← Group #14515152

Character table — Group #14515152

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11202020202024243030301120202020202424303030224040404040484860606022404040404048486060602240404040404848606060
order1223666510488222666610104882226666101048822266661010488444121212122020488
χ1111111111111111111111111111111111111111111111111111111111111
χ211-111-1-1111-1-111-111-1-1111-1-111-111-1-1111-1-111-111-1-1111-1-111-111-1-1111-1-1
χ344211-1-1-1-100044211-1-1-1-100044211-1-1-1-100044211-1-1-1-100044211-1-1-1-1000
χ444-21111-1-100044-21111-1-100044-21111-1-100044-21111-1-100044-21111-1-1000
χ54-401-1−i3i3-110004-401-1−i3i3-110004-401-1−i3i3-110004-401-1−i3i3-110004-401-1−i3i3-11000
χ64-401-1i3−i3-110004-401-1i3−i3-110004-401-1i3−i3-110004-401-1i3−i3-110004-401-1i3−i3-11000
χ74-40-2200-110004-40-2200-110004-40-2200-110004-40-2200-110004-40-2200-11000
χ8551-1-111001-1-1551-1-111001-1-1551-1-111001-1-1551-1-111001-1-1551-1-111001-1-1
χ955-1-1-1-1-10011155-1-1-1-1-10011155-1-1-1-1-10011155-1-1-1-1-10011155-1-1-1-1-100111
χ10660000011-200660000011-200660000011-200660000011-200660000011-200
χ116-6000001-10−i2i26-6000001-10−i2i26-6000001-10−i2i26-6000001-10−i2i26-6000001-10−i2i2
χ126-6000001-10i2−i26-6000001-10i2−i26-6000001-10i2−i26-6000001-10i2−i26-6000001-10i2−i2
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1411-111-1-1111-1-111-111-1-1111-1-111-111-1-1111-1-1-1-11-1-111-1-1-111-1-11-1-111-1-1-111
χ1544211-1-1-1-100044211-1-1-1-100044211-1-1-1-1000-4-4-2-1-11111000-4-4-2-1-11111000
χ1644-21111-1-100044-21111-1-100044-21111-1-1000-4-42-1-1-1-111000-4-42-1-1-1-111000
χ174-401-1−i3i3-110004-401-1−i3i3-110004-401-1−i3i3-11000-440-11i3−i31-1000-440-11i3−i31-1000
χ184-401-1i3−i3-110004-401-1i3−i3-110004-401-1i3−i3-11000-440-11−i3i31-1000-440-11−i3i31-1000
χ194-40-2200-110004-40-2200-110004-40-2200-11000-4402-2001-1000-4402-2001-1000
χ20551-1-111001-1-1551-1-111001-1-1551-1-111001-1-1-5-5-111-1-100-111-5-5-111-1-100-111
χ2155-1-1-1-1-10011155-1-1-1-1-10011155-1-1-1-1-100111-5-51111100-1-1-1-5-51111100-1-1-1
χ22660000011-200660000011-200660000011-200-6-600000-1-1200-6-600000-1-1200
χ236-6000001-10−i2i26-6000001-10−i2i26-6000001-10−i2i2-6600000-110i2−i2-6600000-110i2−i2
χ246-6000001-10i2−i26-6000001-10i2−i26-6000001-10i2−i2-6600000-110−i2i2-6600000-110−i2i2
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ2611-111-1-1111-1-111-111-1-1111-1-1-1-11-1-111-1-1-11111-111-1-1111-1-1-1-11-1-111-1-1-111
χ2744211-1-1-1-100044211-1-1-1-1000-4-4-2-1-1111100044211-1-1-1-1000-4-4-2-1-11111000
χ2844-21111-1-100044-21111-1-1000-4-42-1-1-1-11100044-21111-1-1000-4-42-1-1-1-111000
χ294-401-1−i3i3-110004-401-1−i3i3-11000-440-11i3−i31-10004-401-1−i3i3-11000-440-11i3−i31-1000
χ304-401-1i3−i3-110004-401-1i3−i3-11000-440-11−i3i31-10004-401-1i3−i3-11000-440-11−i3i31-1000
χ314-40-2200-110004-40-2200-11000-4402-2001-10004-40-2200-11000-4402-2001-1000
χ32551-1-111001-1-1551-1-111001-1-1-5-5-111-1-100-111551-1-111001-1-1-5-5-111-1-100-111
χ3355-1-1-1-1-10011155-1-1-1-1-100111-5-51111100-1-1-155-1-1-1-1-100111-5-51111100-1-1-1
χ34660000011-200660000011-200-6-600000-1-1200660000011-200-6-600000-1-1200
χ356-6000001-10−i2i26-6000001-10−i2i2-6600000-110i2−i26-6000001-10−i2i2-6600000-110i2−i2
χ366-6000001-10i2−i26-6000001-10i2−i2-6600000-110−i2i26-6000001-10i2−i2-6600000-110−i2i2
χ37111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ3811-111-1-1111-1-111-111-1-1111-1-1-1-11-1-111-1-1-111-1-11-1-111-1-1-11111-111-1-1111-1-1
χ3944211-1-1-1-100044211-1-1-1-1000-4-4-2-1-11111000-4-4-2-1-1111100044211-1-1-1-1000
χ4044-21111-1-100044-21111-1-1000-4-42-1-1-1-111000-4-42-1-1-1-11100044-21111-1-1000
χ414-401-1−i3i3-110004-401-1−i3i3-11000-440-11i3−i31-1000-440-11i3−i31-10004-401-1−i3i3-11000
χ424-401-1i3−i3-110004-401-1i3−i3-11000-440-11−i3i31-1000-440-11−i3i31-10004-401-1i3−i3-11000
χ434-40-2200-110004-40-2200-11000-4402-2001-1000-4402-2001-10004-40-2200-11000
χ44551-1-111001-1-1551-1-111001-1-1-5-5-111-1-100-111-5-5-111-1-100-111551-1-111001-1-1
χ4555-1-1-1-1-10011155-1-1-1-1-100111-5-51111100-1-1-1-5-51111100-1-1-155-1-1-1-1-100111
χ46660000011-200660000011-200-6-600000-1-1200-6-600000-1-1200660000011-200
χ476-6000001-10−i2i26-6000001-10−i2i2-6600000-110i2−i2-6600000-110i2−i26-6000001-10−i2i2
χ486-6000001-10i2−i26-6000001-10i2−i2-6600000-110−i2i2-6600000-110−i2i26-6000001-10i2−i2
χ49222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ5022-222-2-2222-2-2-2-22-2-222-2-2-222000000000000000000000000000000000000
χ5188422-2-2-2-2000-8-8-4-2-22222000000000000000000000000000000000000000
χ5288-42222-2-2000-8-84-2-2-2-222000000000000000000000000000000000000000
χ538-802-2−2i32i3-22000-880-222i3−2i32-2000000000000000000000000000000000000000
χ548-802-22i3−2i3-22000-880-22−2i32i32-2000000000000000000000000000000000000000
χ558-80-4400-22000-8804-4002-2000000000000000000000000000000000000000
χ5610102-2-222002-2-2-10-10-222-2-200-222000000000000000000000000000000000000
χ571010-2-2-2-2-200222-10-102222200-2-2-2000000000000000000000000000000000000
χ5812120000022-400-12-1200000-2-2400000000000000000000000000000000000000
χ5912-12000002-20−2i22i2-121200000-2202i2−2i2000000000000000000000000000000000000
χ6012-12000002-202i2−2i2-121200000-220−2i22i2000000000000000000000000000000000000

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