Finite Group Databasebeta

← Group #11882269

Character table — Group #11882269

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444446666668888888888881212121212121212121212121212121616161616161618182424242424242424243636364848487272
order1222334466666636668812121212242424242244444412121212242424242424466888812121212242424241212121212121244244412121224244886121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1
χ3111111111111111111111111111111-1-111111111111111-11111-1-111-1-111111111111-1-11-11-1-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111-1-111-1-1-1-111111111-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1111
χ51111111111111111111111111111-1-111-1-11111111111111-1-1-1-111-1-111-1-1-1-11111111-1-1-11-1111111-1-1-1-1-11-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-1111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1-1-111-111
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
χ9111111111111111111-1-11111-1-1-1-11111111-1-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11-1111-1-11111-1-11-1-1-1-11-1-11-111-1
χ10111111111111111111-1-11111-1-1-1-1111111-111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-11-1-1-11111-1-111111-1-11-1-1-11-1-11
χ11111111111111111111-1-11111-1-1-1-111-1-1111-1-1-111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1111-1-1-1-11-1-11-11111-1111-1-1-11
χ12111111111111111111-1-11111-1-1-1-111-1-111-111111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-1-111-1-1-111-1-1-1-111-111-1111-1
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-11-1-1-111-1-1-1-1-1-11-1-111-1-1-1-11111111-1111-1-1-1-1-111-11-1-1-1-1-111-111-11
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-11-1-111-1-1-1-1111111-11-1-1-111-1-11-1-11111-1-1-1111-1-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1111-1-111-1-111-111111-1-1-11-11-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1111111-1-1-1-1-1111-1-11-11-11
χ17222222-2-2222222222200-2-2-2-200002222-2-20000-2-2000000-2220000-2-22200000000000220000-20000-20000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-20000-2-20000002220000-2-2-2-200000000000-2-200002000020000000
χ19222222-2-2222222222200-2-2-2-20000-2-222220000-2-2000000-2-2-20000222200000000000-2-20000-2000020000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2220000-2-20000002-2-2000022-2-20000000000022000020000-20000000
χ2122222-122-12-1-122-1-1-1-1222-12-1-1-1-1-12200222222-1-122-1-1-1-10-1-12200-1-100-1-1-1-1-1-12-1-1-1-100202000000000-1-1000
χ2222222-122-12-1-122-1-1-1-1222-12-1-1-1-1-1220022-2-2-2-2-1-122-1-1-1-10-1-12200-1-100-1-1-1-111-2111100-20-200000000011000
χ2322222-122-12-1-122-1-1-1-1222-12-1-1-1-1-1-2-200-2-22222-1-122-1-1-1-1011-2-20011001111-1-12-1-1-1-100-20-200000000011000
χ2422222-122-12-1-122-1-1-1-1222-12-1-1-1-1-1-2-200-2-2-2-2-2-2-1-122-1-1-1-1011-2-2001100111111-2111100202000000000-1-1000
χ2522222-122-12-1-122-1-1-1-1-2-22-12-111112200222-2-2-2-1-1-2-211110-1-1-2-200-1-1001111-112-1-1110020-2000000000-11000
χ2622222-122-12-1-122-1-1-1-1-2-22-12-11111220022-2222-1-1-2-211110-1-1-2-200-1-10011111-1-211-1-100-2020000000001-1000
χ2722222-122-12-1-122-1-1-1-1-2-22-12-11111-2-200-2-22-2-2-2-1-1-2-2111101122001100-1-1-1-1-112-1-11100-2020000000001-1000
χ2822222-122-12-1-122-1-1-1-1-2-22-12-11111-2-200-2-2-2222-1-1-2-2111101122001100-1-1-1-11-1-211-1-10020-2000000000-11000
χ292222-12222-122-1-1-1-1-1-122-12-12222200220022-1-1-1-1-1-1-1-1-1-1200002200-1-1000022-1-1-1-1-1000202-1-1-1-1-100000-100
χ302222-12222-122-1-1-1-1-1-122-12-122222002200-2-211-1-1-1-1-1-1-1-1200002200-1-10000-2-211111000-20-2-111-1-100000100
χ312222-12222-122-1-1-1-1-1-122-12-12222200-2-20022-1-1-1-1-1-1-1-1-1-1-20000-2-20011000022-1-1-1-1-1000-20-21111100000100
χ322222-12222-122-1-1-1-1-1-122-12-12222200-2-200-2-211-1-1-1-1-1-1-1-1-20000-2-200110000-2-2111110002021-1-11100000-100
χ332222-12222-122-1-1-1-1-1-1-2-2-12-12-2-2-2-20022002-211-1-111111120000-2-200-1-100002-2-1-1-11100020-2-1111100000-100
χ342222-12222-122-1-1-1-1-1-1-2-2-12-12-2-2-2-2002200-22-1-1-1-111111120000-2-200-1-10000-22111-1-1000-202-1-1-11100000100
χ352222-12222-122-1-1-1-1-1-1-2-2-12-12-2-2-2-200-2-2002-211-1-1111111-2000022001100002-2-1-1-111000-2021-1-1-1-100000100
χ362222-12222-122-1-1-1-1-1-1-2-2-12-12-2-2-2-200-2-200-22-1-1-1-1111111-200002200110000-22111-1-100020-2111-1-100000-100
χ3722-2-222002-2-2-2-222-22-2−i2i20000−i2−i2i2i22-22-200000000−i2i2−i2−i2i2i202-2−i2i2−i2i2002-2−i2−i2i2i200000002-20000000−i2i20−i2i200000
χ3822-2-222002-2-2-2-222-22-2−i2i20000−i2−i2i2i22-2-2200000000−i2i2−i2−i2i2i202-2−i2i2i2−i200-22−i2−i2i2i20000000-220000000i2−i20i2−i200000
χ3922-2-222002-2-2-2-222-22-2−i2i20000−i2−i2i2i2-222-200000000−i2i2−i2−i2i2i20-22i2−i2−i2i2002-2i2i2−i2−i20000000-220000000−i2i20i2−i200000
χ4022-2-222002-2-2-2-222-22-2−i2i20000−i2−i2i2i2-22-2200000000−i2i2−i2−i2i2i20-22i2−i2i2−i200-22i2i2−i2−i200000002-20000000i2−i20−i2i200000
χ4122-2-222002-2-2-2-222-22-2i2−i20000i2i2−i2−i22-22-200000000i2−i2i2i2−i2−i202-2i2−i2i2−i2002-2i2i2−i2−i200000002-20000000i2−i20i2−i200000
χ4222-2-222002-2-2-2-222-22-2i2−i20000i2i2−i2−i22-2-2200000000i2−i2i2i2−i2−i202-2i2−i2−i2i200-22i2i2−i2−i20000000-220000000−i2i20−i2i200000
χ4322-2-222002-2-2-2-222-22-2i2−i20000i2i2−i2−i2-222-200000000i2−i2i2i2−i2−i20-22−i2i2i2−i2002-2−i2−i2i2i20000000-220000000i2−i20−i2i200000
χ4422-2-222002-2-2-2-222-22-2i2−i20000i2i2−i2−i2-22-2200000000i2−i2i2i2−i2−i20-22−i2i2−i2i200-22−i2−i2i2i200000002-20000000−i2i20i2−i200000
χ4544444-2-4-4-24-2-244-2-2-2-200-42-4200004400-4-40000220000000-2-200002200000000000000000000000000000000
χ4644444-2-4-4-24-2-244-2-2-2-200-42-420000-4-400440000220000000220000-2-200000000000000000000000000000000
χ474444-24-4-44-244-2-2-2-2-2-2002-42-40000004400000022000000-400000000-2-2000000000000000002000000000000
χ484444-24-4-44-244-2-2-2-2-2-2002-42-4000000-4-4000000220000004000000002200000000000000000-2000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-211-2-21111000000000000000-2-2-211110000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-42211-2-21111000000000000000222-1-1-1-10000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4221122-1-1-1-1000000000000000-22-211-1-10000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44-2-21122-1-1-1-10000000000000002-22-1-1110000000000000000000
χ5344-4-44-200-2-422-44-22-22−2i22i20000i2i2−i2−i24-40000000000−2i22i2i2i2−i2−i20-22−2i22i2000000i2i2−i2−i200000000000000000000000000
χ5444-4-44-200-2-422-44-22-22−2i22i20000i2i2−i2−i2-440000000000−2i22i2i2i2−i2−i202-22i2−2i2000000−i2−i2i2i200000000000000000000000000
χ5544-4-44-200-2-422-44-22-222i2−2i20000−i2−i2i2i24-400000000002i2−2i2−i2−i2i2i20-222i2−2i2000000−i2−i2i2i200000000000000000000000000
χ5644-4-44-200-2-422-44-22-222i2−2i20000−i2−i2i2i2-4400000000002i2−2i2−i2−i2i2i202-2−2i22i2000000i2i2−i2−i200000000000000000000000000
χ5744-4-4-240042-4-42-2-22-22−2i22i20000−2i2−2i22i22i2004-400000000i2−i2i2i2−i2−i200000−2i22i200-2200000000000000000000i2−i200000000
χ5844-4-4-240042-4-42-2-22-22−2i22i20000−2i2−2i22i22i200-4400000000i2−i2i2i2−i2−i2000002i2−2i2002-200000000000000000000−i2i200000000
χ5944-4-4-240042-4-42-2-22-222i2−2i200002i22i2−2i2−2i2004-400000000−i2i2−i2−i2i2i2000002i2−2i200-2200000000000000000000−i2i200000000
χ6044-4-4-240042-4-42-2-22-222i2−2i200002i22i2−2i2−2i200-4400000000−i2i2−i2−i2i2i200000−2i22i2002-200000000000000000000i2−i200000000
χ614-44-44400-4-44-44-444-4-4000000000000004i−4i00000000000000000004i−4i00000000000000000000000000000000
χ624-44-44400-4-44-44-444-4-400000000000000−4i4i0000000000000000000−4i4i00000000000000000000000000000000
χ634-44-44-2002-4-224-4-2-222000000i6−i6i6−i600004i−4i00000000i6−i6i6−i60000000−2i2i006−66−600000000000000000000000000
χ644-44-44-2002-4-224-4-2-222000000i6−i6i6−i60000−4i4i00000000i6−i6i6−i600000002i−2i00−66−6600000000000000000000000000
χ654-44-44-2002-4-224-4-2-222000000−i6i6−i6i600004i−4i00000000−i6i6−i6i60000000−2i2i00−66−6600000000000000000000000000
χ664-44-44-2002-4-224-4-2-222000000−i6i6−i6i60000−4i4i00000000−i6i6−i6i600000002i−2i006−66−600000000000000000000000000
χ674-4-44444-4-44-44-4-44-4-440044-4-4000000000000004-400000000000000000000000000000000000000000000000
χ684-4-4444-44-44-44-4-44-4-4400-4-44400000000000000-4400000000000000000000000000000000000000000000000
χ694-4-444-24-4242-2-4-4-222-2004-2-4223−23−23230000000000-220023−23−232300000000000000000000000000000000000000000
χ704-4-444-24-4242-2-4-4-222-2004-2-42−232323−230000000000-2200−232323−2300000000000000000000000000000000000000000
χ714-4-444-2-44242-2-4-4-222-200-424-2000000000000002-200000000000000000−2i32i32i3−2i300000000000000000000000000
χ724-4-444-2-44242-2-4-4-222-200-424-2000000000000002-2000000000000000002i3−2i3−2i32i300000000000000000000000000
χ734-4-44-244-4-4-2-4422-222-200-242-4000000000000−2i32i3-2200000000000000000000000000−2i32i30000000000000000000
χ744-4-44-244-4-4-2-4422-222-200-242-40000000000002i3−2i3-22000000000000000000000000002i3−2i30000000000000000000
χ754-4-44-24-44-4-2-4422-222-2002-4-24000000000000002-20000000000000000000000000000000000023−230000000000
χ764-4-44-24-44-4-2-4422-222-2002-4-24000000000000002-200000000000000000000000000000000000−23230000000000
χ774-4-44-2-24-42-22-2221-1-1100-2-22223−23−232300000000−2i32i31-100−333−30000000000000000003i−3ii3−i30000000000000000000
χ784-4-44-2-24-42-22-2221-1-1100-2-22223−23−2323000000002i3−2i31-100−333−3000000000000000000−3i3i−i3i30000000000000000000
χ794-4-44-2-24-42-22-2221-1-1100-2-222−232323−2300000000−2i32i31-1003−3−33000000000000000000−3i3ii3−i30000000000000000000
χ804-4-44-2-24-42-22-2221-1-1100-2-222−232323−23000000002i3−2i31-1003−3−330000000000000000003i−3i−i3i30000000000000000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44444-42-22-2−4i24i200002i22i2−2i2−2i20000000000002i2−2i2−i2−i2i2i200000000000000000000000000000000000000000
χ8388-8-8-4-400-44444-42-22-24i2−4i20000−2i2−2i22i22i2000000000000−2i22i2i2i2−i2−i200000000000000000000000000000000000000000
χ848-88-8-4800-848-8-44-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-4422-2-20000002i6−2i62i6−2i600000000000000−i6i6−i6i600000000000000000000000000000000000000000
χ868-88-8-4-40044-44-4422-2-2000000−2i62i6−2i62i600000000000000i6−i6i6−i600000000000000000000000000000000000000000
χ878-8-88-4-4-884-44-4442-2-220044-4-400000000000000-2200000000000000000000000000000000000000000000000

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