Finite Group Databasebeta

← Group #11878852

Character table — Group #11878852

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444446666668888888888881212121212121212121212121212121616161616161618182424242424242424243636364848487272
order1222334466666636668812121212242424244444442412121212242424242424488881212121212122424242466661212122222441212122424488661224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1
χ3111111111111111111111111111111-1-111111111111111-1-1-11111-1-11111111111111-1-11-11-1-1-1-1-1-1-1-1-11-11-1-1
χ4111111111111111111111111111111-1-111-1-1-1-111111111-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-11-111
χ51111111111111111111111111111-1-111-1-1111111111111111-1-1-1-111-1-1-1-1-1-11111111-1-1-11-1111111-1-1-1-11-1-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1-1-11-1111
χ71111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-11111111-1-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-11111-1-11-1-1-1-11-1-111-11-1
χ10111111111111111111-1-11111-1-1-1-1111111-111111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111111-1-11-1-1-1-11-11
χ11111111111111111111-1-11111-1-1-1-111-1-1111-1-1-111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-11-11111-1111-1-1-11
χ12111111111111111111-1-11111-1-1-1-111-1-111-111111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111-111-1111-1
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-11-1-1-111-1-1-1-1-1-11-1-111-1-111-1-111111111-1-1-1-1-1-111-11-1-1-1-1-111-111-11
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-11-1-111-1-111-1-11111-1-1-1-1111-1-11-1-11111-1-1-1111-1-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-111-1-111-111111-1-1-1-111-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1111-1-111-1-11
χ17222222-2-2222222222200-2-2-2-200002222-2-20000-2-2000000-200002222-2-200000000000220000-20000-20000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-20000-2-20000002000022-2-2-2-200000000000-2-200002000020000000
χ19222222-2-2222222222200-2-2-2-20000-2-222220000-2-2000000-20000-2-2222200000000000-2-20000-2000020000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2220000-2-200000020000-2-2-2-2220000000000022000020000-20000000
χ2122222-12222-1-1-12-1-1-1-122-122-1222200220022-1-1-1-1-1-1-1-1-1-12220000-1-10000002-1-1-12-1-1000202-1-1-1-1-10000-1000
χ2222222-12222-1-1-12-1-1-1-122-122-12222002200-2-211-1-1-1-1-1-1-1-12220000-1-1000000-2111-211000-20-2-111-1-100001000
χ2322222-12222-1-1-12-1-1-1-122-122-1222200-2-20022-1-1-1-1-1-1-1-1-1-1-2-2-20000110000002-1-1-12-1-1000-20-21111100001000
χ2422222-12222-1-1-12-1-1-1-122-122-1222200-2-200-2-211-1-1-1-1-1-1-1-1-2-2-2000011000000-2111-2110002021-1-1110000-1000
χ2522222-12222-1-1-12-1-1-1-1-2-2-122-1-2-2-2-20022002-211-1-11111112-2-20000-1-10000002-1-1-1-21100020-2-111110000-1000
χ2622222-12222-1-1-12-1-1-1-1-2-2-122-1-2-2-2-2002200-22-1-1-1-11111112-2-20000-1-1000000-21112-1-1000-202-1-1-11100001000
χ2722222-12222-1-1-12-1-1-1-1-2-2-122-1-2-2-2-200-2-2002-211-1-1111111-2220000110000002-1-1-1-211000-2021-1-1-1-100001000
χ2822222-12222-1-1-12-1-1-1-1-2-2-122-1-2-2-2-200-2-200-22-1-1-1-1111111-222000011000000-21112-1-100020-2111-1-10000-1000
χ292222-1222-1-1222-1-1-1-1-1222-1-12-1-1-1-12200222222-1-122-1-1-1-100022-1-100-1-1-1-1-1-1-12-1-1-1-1-100202000000000-10-100
χ302222-1222-1-1222-1-1-1-1-1222-1-12-1-1-1-1220022-2-2-2-2-1-122-1-1-1-100022-1-100-1-1-1-1-1-11-21111100-20-200000000010100
χ312222-1222-1-1222-1-1-1-1-1222-1-12-1-1-1-1-2-200-2-22222-1-122-1-1-1-1000-2-21100111111-12-1-1-1-1-100-20-200000000010100
χ322222-1222-1-1222-1-1-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-2-2-2-1-122-1-1-1-1000-2-211001111111-21111100202000000000-10-100
χ332222-1222-1-1222-1-1-1-1-1-2-22-1-1211112200222-2-2-2-1-1-2-21111000-2-2-1-100-1-11111-12-1-11110020-2000000000-10100
χ342222-1222-1-1222-1-1-1-1-1-2-22-1-121111220022-2222-1-1-2-21111000-2-2-1-100-1-111111-211-1-1-100-20200000000010-100
χ352222-1222-1-1222-1-1-1-1-1-2-22-1-121111-2-200-2-22-2-2-2-1-1-2-2111100022110011-1-1-1-1-12-1-111100-20200000000010-100
χ362222-1222-1-1222-1-1-1-1-1-2-22-1-121111-2-200-2-2-2222-1-1-2-2111100022110011-1-1-1-11-211-1-1-10020-2000000000-10100
χ3722-2-22200-222-2-2-222-2-2−i2i20000−i2−i2i2i22-22-200000000−i2i2−i2−i2i2i20−i2i2−i2i22-22-200−i2−i2i2i200000002-20000000−i2i20−i2i200000
χ3822-2-22200-222-2-2-222-2-2−i2i20000−i2−i2i2i22-2-2200000000−i2i2−i2−i2i2i20i2−i2−i2i22-2-2200−i2−i2i2i20000000-220000000i2−i20i2−i200000
χ3922-2-22200-222-2-2-222-2-2−i2i20000−i2−i2i2i2-222-200000000−i2i2−i2−i2i2i20−i2i2i2−i2-222-200i2i2−i2−i20000000-220000000−i2i20i2−i200000
χ4022-2-22200-222-2-2-222-2-2−i2i20000−i2−i2i2i2-22-2200000000−i2i2−i2−i2i2i20i2−i2i2−i2-22-2200i2i2−i2−i200000002-20000000i2−i20−i2i200000
χ4122-2-22200-222-2-2-222-2-2i2−i20000i2i2−i2−i22-22-200000000i2−i2i2i2−i2−i20i2−i2i2−i22-22-200i2i2−i2−i200000002-20000000i2−i20i2−i200000
χ4222-2-22200-222-2-2-222-2-2i2−i20000i2i2−i2−i22-2-2200000000i2−i2i2i2−i2−i20−i2i2i2−i22-2-2200i2i2−i2−i20000000-220000000−i2i20−i2i200000
χ4322-2-22200-222-2-2-222-2-2i2−i20000i2i2−i2−i2-222-200000000i2−i2i2i2−i2−i20i2−i2−i2i2-222-200−i2−i2i2i20000000-220000000i2−i20−i2i200000
χ4422-2-22200-222-2-2-222-2-2i2−i20000i2i2−i2−i2-22-2200000000i2−i2i2i2−i2−i20−i2i2−i2i2-22-2200−i2−i2i2i200000002-20000000−i2i20i2−i200000
χ4544444-2-4-444-2-2-24-2-2-2-2002-4-420000004400000022000000-4000000-2-200000000000000000002000000000000
χ4644444-2-4-444-2-2-24-2-2-2-2002-4-42000000-4-4000000220000004000000220000000000000000000-2000000000000
χ474444-24-4-4-2-2444-2-2-2-2-200-422-400004400-4-400002200000000000-2-20022000000000000000000000000000000
χ484444-24-4-4-2-2444-2-2-2-2-200-422-40000-4-40044000022000000000002200-2-2000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-211-2-21111000000000000000-2-211-2110000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-42211-2-2111100000000000000022-1-12-1-10000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4221122-1-1-1-1000000000000000-2-2112-1-10000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44-2-21122-1-1-1-100000000000000022-1-1-2110000000000000000000
χ5344-4-44-200-44-222-4-2-222−2i22i20000−2i2−2i22i22i2004-400000000i2−i2i2i2−i2−i20−2i22i20000-220000000000000000000000i2−i200000000
χ5444-4-44-200-44-222-4-2-222−2i22i20000−2i2−2i22i22i200-4400000000i2−i2i2i2−i2−i202i2−2i200002-20000000000000000000000−i2i200000000
χ5544-4-44-200-44-222-4-2-2222i2−2i200002i22i2−2i2−2i2004-400000000−i2i2−i2−i2i2i202i2−2i20000-220000000000000000000000−i2i200000000
χ5644-4-44-200-44-222-4-2-2222i2−2i200002i22i2−2i2−2i200-4400000000−i2i2−i2−i2i2i20−2i22i200002-20000000000000000000000i2−i200000000
χ5744-4-4-24002-24-4-42-2-222−2i22i20000i2i2−i2−i24-40000000000−2i22i2i2i2−i2−i2000−2i22i2-220000i2i2−i2−i200000000000000000000000000
χ5844-4-4-24002-24-4-42-2-222−2i22i20000i2i2−i2−i2-440000000000−2i22i2i2i2−i2−i20002i2−2i22-20000−i2−i2i2i200000000000000000000000000
χ5944-4-4-24002-24-4-42-2-2222i2−2i20000−i2−i2i2i24-400000000002i2−2i2−i2−i2i2i20002i2−2i2-220000−i2−i2i2i200000000000000000000000000
χ6044-4-4-24002-24-4-42-2-2222i2−2i20000−i2−i2i2i2-4400000000002i2−2i2−i2−i2i2i2000−2i22i22-20000i2i2−i2−i200000000000000000000000000
χ614-44-44400-4-4-44-444-4-44000000000000004-40000000000000000000004-4000000000000000000000000000000
χ624-44-44400-4-4-44-444-4-4400000000000000-44000000000000000000000-44000000000000000000000000000000
χ634-44-4-240022-44-4-2-222-2000000i6−i6i6−i600004-400000000i6−i6i6−i6000000000-22i6−i6i6−i600000000000000000000000000
χ644-44-4-240022-44-4-2-222-2000000i6−i6i6−i60000-4400000000i6−i6i6−i60000000002-2−i6i6−i6i600000000000000000000000000
χ654-44-4-240022-44-4-2-222-2000000−i6i6−i6i600004-400000000−i6i6−i6i6000000000-22−i6i6−i6i600000000000000000000000000
χ664-44-4-240022-44-4-2-222-2000000−i6i6−i6i60000-4400000000−i6i6−i6i60000000002-2i6−i6i6−i600000000000000000000000000
χ674-4-44444-44-4-4-44-44-44-400-44-4400000000000000-4400000000000000000000000000000000000000000000000
χ684-4-4444-444-4-4-44-44-44-4004-44-4000000000000004-400000000000000000000000000000000000000000000000
χ694-4-444-24-44-422-2-4-22-220024-4-2000000000000002-200000000000000000000000000000000000−2i32i30000000000
χ704-4-444-24-44-422-2-4-22-220024-4-2000000000000002-2000000000000000000000000000000000002i3−2i30000000000
χ714-4-444-2-444-422-2-4-22-2200-2-44200000000000023−23-220000000000000000000000000023−230000000000000000000
χ724-4-444-2-444-422-2-4-22-2200-2-442000000000000−2323-2200000000000000000000000000−23230000000000000000000
χ734-4-44-244-4-22-4-442-22-2200-4-224000000000000002-20000000000000000023−23−232300000000000000000000000000
χ744-4-44-244-4-22-4-442-22-2200-4-224000000000000002-200000000000000000−232323−2300000000000000000000000000
χ754-4-44-24-44-22-4-442-22-220042-2-423−23−23230000000000-220023−23−232300000000000000000000000000000000000000000
χ764-4-44-24-44-22-4-442-22-220042-2-4−232323−230000000000-2200−232323−2300000000000000000000000000000000000000000
χ774-4-44-2-2-44-2222-221-11-100-22-2223−23−23230000000023−231-100−333−3000000000000000003-30−330000000000000000000
χ784-4-44-2-2-44-2222-221-11-100-22-2223−23−232300000000−23231-100−333−300000000000000000-3303−30000000000000000000
χ794-4-44-2-2-44-2222-221-11-100-22-22−232323−230000000023−231-1003−3−3300000000000000000-330−330000000000000000000
χ804-4-44-2-2-44-2222-221-11-100-22-22−232323−2300000000−23231-1003−3−33000000000000000003-303−30000000000000000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-8-4-4004-4-444422-2-2−4i24i200002i22i2−2i2−2i20000000000002i2−2i2−i2−i2i2i200000000000000000000000000000000000000000
χ8388-8-8-4-4004-4-444422-2-24i2−4i20000−2i2−2i22i22i2000000000000−2i22i2i2i2−i2−i200000000000000000000000000000000000000000
χ848-88-88-400-8-84-448-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400444-44-42-2-220000002i6−2i62i6−2i600000000000000−i6i6−i6i600000000000000000000000000000000000000000
χ868-88-8-4-400444-44-42-2-22000000−2i62i6−2i62i600000000000000i6−i6i6−i600000000000000000000000000000000000000000
χ878-8-88-4-48-8-4444-442-22-2004-44-400000000000000-2200000000000000000000000000000000000000000000000

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