Finite Group Databasebeta

← Group #11882328

Character table — Group #11882328

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444446666668888888888881212121212121212121212121212121616161616161618182424242424242424243636364848487272
order1222334466666636668812121212242424242244442266121224242424242446688881212121224242424666666644244412121224244886121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1
χ3111111111111111111111111111111-1-111111111111111-11111-1-111-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111-1-111-1-1-1-111111111-11111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-11-1-111
χ51111111111111111111111111111-1-111-1-11111111111111-1-1-1-111-1-111-1-1-1-11111111-1-111-1-111111-1-1-11-1-1-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-1111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111
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
χ9111111111111111111-1-11111-1-1-1-11111111-11111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11-1-111-1-111-111-1111-1-11-1-1-11-11-1
χ10111111111111111111-1-11111-1-1-1-1111111-11-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-111-1-111111-1-111-1-1-1-11-1-11-11-11
χ11111111111111111111-1-11111-1-1-1-111-1-1111-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-111-1-1-1-11-11-1-1-1-111-11111-1-11
χ12111111111111111111-1-11111-1-1-1-111-1-111-11-1-111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-111-1-1-11-11-11111-111-1-111-1
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-11-1-111-1-1-1-11111111-1-111-1-1-1-1-11-11111-1-1-111-1-11-11
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-11-1-111-1-1-1-1-1-11-1-111-1-1-1-1111111-111-1-111-1-11-11-11-1-1-1-1-11111-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-1111-1-11-1-1-1111-1-11-111-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-111-1-111111-1-1-11-1-11
χ17222222-2-2222222222200-2-2-2-200002222-2-20000-2-2000000-2220000-2-22200000000000-2-20000-2000020000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-20000-2-20000002220000-2-2-2-20000000000022000020000-20000000
χ19222222-2-2222222222200-2-2-2-20000-2-222220000-2-2000000-2-2-20000222200000000000220000-20000-20000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2220000-2-20000002-2-2000022-2-200000000000-2-200002000020000000
χ2122222-1222-1-12-12-1-1-1-122-12-12222200220022-1-1-1-1-1-1-1-1-1-1200002200-1-1000022-1-1-1-1-1002200-1-1-1-1-1000-10000
χ2222222-1222-1-12-12-1-1-1-122-12-122222002200-2-211-1-1-1-1-1-1-1-1200002200-1-10000-2-21111100-2-200-111-1-100010000
χ2322222-1222-1-12-12-1-1-1-122-12-12222200-2-20022-1-1-1-1-1-1-1-1-1-1-20000-2-20011000022-1-1-1-1-100-2-2001111100010000
χ2422222-1222-1-12-12-1-1-1-122-12-12222200-2-200-2-211-1-1-1-1-1-1-1-1-20000-2-200110000-2-2111110022001-1-111000-10000
χ2522222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-20022002-2-1-1-1-111111120000-2-200-1-100002-21-1-11100-2200-1-1-11100010000
χ2622222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-2002200-2211-1-111111120000-2-200-1-10000-22-111-1-1002-200-11111000-10000
χ2722222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-200-2-2002-2-1-1-1-1111111-2000022001100002-21-1-111002-200111-1-1000-10000
χ2822222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-200-2-200-2211-1-1111111-200002200110000-22-111-1-100-22001-1-1-1-100010000
χ292222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-12200222222-1-122-1-1-1-10-1-12200-1-100-1-1-1-1-1-12-1-1-1-1000022000000000-1-100
χ302222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-1220022-2-2-2-2-1-122-1-1-1-10-1-12200-1-100-1-1-1-111-211110000-2-20000000001100
χ312222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-1-2-200-2-22222-1-122-1-1-1-1011-2-20011001111-1-12-1-1-1-10000-2-20000000001100
χ322222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-1-2-200-2-2-2-2-2-2-1-122-1-1-1-1011-2-2001100111111-21111000022000000000-1-100
χ332222-1222-122-12-1-1-1-1-1-2-22-12-111112200222-222-1-1-2-211110-1-1-2-200-1-1001111-11-2-1-11100002-2000000000-1100
χ342222-1222-122-12-1-1-1-1-1-2-22-12-11111220022-22-2-2-1-1-2-211110-1-1-2-200-1-10011111-1211-1-10000-220000000001-100
χ352222-1222-122-12-1-1-1-1-1-2-22-12-11111-2-200-2-22-222-1-1-2-2111101122001100-1-1-1-1-11-2-1-1110000-220000000001-100
χ362222-1222-122-12-1-1-1-1-1-2-22-12-11111-2-200-2-2-22-2-2-1-1-2-2111101122001100-1-1-1-11-1211-1-100002-2000000000-1100
χ3722-2-222002-2-2-22-222-2-22−2000022−2−2002-22i−2i0000002−222−2−2000−i2i22−22i−2i2-2−i2−i2i2i200000002i−2i00000002−20−i2i200000
χ3822-2-222002-2-2-22-222-2-22−2000022−2−2002-2−2i2i0000002−222−2−2000i2−i22−2−2i2i2-2i2i2−i2−i20000000−2i2i00000002−20i2−i200000
χ3922-2-222002-2-2-22-222-2-22−2000022−2−200-222i−2i0000002−222−2−2000−i2i2−222i−2i-22−i2−i2i2i20000000−2i2i0000000−220i2−i200000
χ4022-2-222002-2-2-22-222-2-22−2000022−2−200-22−2i2i0000002−222−2−2000i2−i2−22−2i2i-22i2i2−i2−i200000002i−2i0000000−220−i2i200000
χ4122-2-222002-2-2-22-222-2-2−220000−2−222002-22i−2i000000−22−2−222000i2−i2−222i−2i2-2i2i2−i2−i200000002i−2i0000000−220i2−i200000
χ4222-2-222002-2-2-22-222-2-2−220000−2−222002-2−2i2i000000−22−2−222000−i2i2−22−2i2i2-2−i2−i2i2i20000000−2i2i0000000−220−i2i200000
χ4322-2-222002-2-2-22-222-2-2−220000−2−22200-222i−2i000000−22−2−222000i2−i22−22i−2i-22i2i2−i2−i20000000−2i2i00000002−20−i2i200000
χ4422-2-222002-2-2-22-222-2-2−220000−2−22200-22−2i2i000000−22−2−222000−i2i22−2−2i2i-22−i2−i2i2i200000002i−2i00000002−20i2−i200000
χ4544444-2-4-44-2-24-24-2-2-2-2002-42-40000004400000022000000-400000000-2-2000000000000000002000000000000
χ4644444-2-4-44-2-24-24-2-2-2-2002-42-4000000-4-4000000220000004000000002200000000000000000-2000000000000
χ474444-24-4-4-244-24-2-2-2-2-200-42-4200004400-4-40000220000000-2-200002200000000000000000000000000000000
χ484444-24-4-4-244-24-2-2-2-2-200-42-420000-4-400440000220000000220000-2-200000000000000000000000000000000
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
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-21122-1-1-1-1000000000000000-22211-1-10000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44221122-1-1-1-10000000000000002-2-2-1-1110000000000000000000
χ5344-4-44-200422-4-2-4-2-22222−2200002222−22−22004-400000000−22−2−2220000022−2200-2200000000000000000000−2200000000
χ5444-4-44-200422-4-2-4-2-22222−2200002222−22−2200-4400000000−22−2−22200000−2222002-2000000000000000000002−200000000
χ5544-4-44-200422-4-2-4-2-222−22220000−22−222222004-4000000002−222−2−200000−222200-22000000000000000000002−200000000
χ5644-4-44-200422-4-2-4-2-222−22220000−22−22222200-44000000002−222−2−20000022−22002-200000000000000000000−2200000000
χ5744-4-4-2400-2-4-4242-2-22222−220000−2−22200004i−4i00000022−22−2−222000−2i22i200−2i2i00i2i2−i2−i200000000000000000000000000
χ5844-4-4-2400-2-4-4242-2-22222−220000−2−2220000−4i4i00000022−22−2−2220002i2−2i2002i−2i00−i2−i2i2i200000000000000000000000000
χ5944-4-4-2400-2-4-4242-2-222−2222000022−2−200004i−4i000000−222222−2−20002i2−2i200−2i2i00−i2−i2i2i200000000000000000000000000
χ6044-4-4-2400-2-4-4242-2-222−2222000022−2−20000−4i4i000000−222222−2−2000−2i22i2002i−2i00i2i2−i2−i200000000000000000000000000
χ614-44-4444-4-44-44-4-44-4-440044-4-4000000000000004-400000000000000000000000000000000000000000000000
χ624-44-444-44-44-44-4-44-4-4400-4-44400000000000000-4400000000000000000000000000000000000000000000000
χ634-44-44-24-4-4-2242-4-222-200-242-400000000000000-220000000000000000000000000000000000023−230000000000
χ644-44-44-24-4-4-2242-4-222-200-242-400000000000000-2200000000000000000000000000000000000−23230000000000
χ654-44-44-2-44-4-2242-4-222-2002-4-24000000000000−2i32i32-2000000000000000000000000−2i32i3000000000000000000000
χ664-44-44-2-44-4-2242-4-222-2002-4-240000000000002i3−2i32-20000000000000000000000002i3−2i3000000000000000000000
χ674-44-4-244-424-4-2-42-222-2004-2-4200000000000000-220000000000000000023−2323−2300000000000000000000000000
χ684-44-4-244-424-4-2-42-222-2004-2-4200000000000000-2200000000000000000−2323−232300000000000000000000000000
χ694-44-4-24-4424-4-2-42-222-200-424-2−2i32i3−2i32i300000000002-200−2i32i3−2i32i300000000000000000000000000000000000000000
χ704-44-4-24-4424-4-2-42-222-200-424-22i3−2i32i3−2i300000000002-2002i3−2i32i3−2i300000000000000000000000000000000000000000
χ714-44-4-2-2-442-22-2221-1-110022-2-2−2i32i3−2i32i300000000−2i32i3-1100i3−i3i3−i3000000000000000000i3−i33-30000000000000000000
χ724-44-4-2-2-442-22-2221-1-110022-2-2−2i32i3−2i32i3000000002i3−2i3-1100i3−i3i3−i3000000000000000000−i3i3-330000000000000000000
χ734-44-4-2-2-442-22-2221-1-110022-2-22i3−2i32i3−2i300000000−2i32i3-1100−i3i3−i3i3000000000000000000i3−i3-330000000000000000000
χ744-44-4-2-2-442-22-2221-1-110022-2-22i3−2i32i3−2i3000000002i3−2i3-1100−i3i3−i3i3000000000000000000−i3i33-30000000000000000000
χ754-4-444400-4-44-4-444-44-400000000004-4000000000000000004-400000000000000000000000000000000000000
χ764-4-444400-4-44-4-444-44-40000000000-4400000000000000000-4400000000000000000000000000000000000000
χ774-4-44-24002-442-4-2-22-22000000i6−i6−i6i64-4000000000000i6−i6−i6i60-2200000000i6−i6−i6i600000000000000000000000000
χ784-4-44-24002-442-4-2-22-22000000i6−i6−i6i6-44000000000000i6−i6−i6i602-200000000−i6i6i6−i600000000000000000000000000
χ794-4-44-24002-442-4-2-22-22000000−i6i6i6−i64-4000000000000−i6i6i6−i60-2200000000−i6i6i6−i600000000000000000000000000
χ804-4-44-24002-442-4-2-22-22000000−i6i6i6−i6-44000000000000−i6i6i6−i602-200000000i6−i6−i6i600000000000000000000000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4444-4422-2-242−420000−22−222222000000000000−222222−2−200000000000000000000000000000000000000000
χ8388-8-8-4-400-4444-4422-2-2−424200002222−22−2200000000000022−22−2−22200000000000000000000000000000000000000000
χ848-88-8-4-48-84-44-4442-2-2200-4-444000000000000002-200000000000000000000000000000000000000000000000
χ858-8-888-400-84-4-848-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-444-42-22-20000002i6−2i6−2i62i600000000000000−i6i6i6−i600000000000000000000000000000000000000000
χ878-8-88-4-40044-444-42-22-2000000−2i62i62i6−2i600000000000000i6−i6−i6i600000000000000000000000000000000000000000

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