Finite Group Databasebeta

← Group #11878810

Character table — Group #11878810

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order122233446666663666881212121244444412121212121224242424242424242488881212121212121212121244442222666661224242424886644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-1
χ311111111111111111111111111-1-111111111111111111-1-1-111-1-111111111-1-1-1-111-1-1-1-1111-111-1-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-11-111
χ5111111111111111111111111-1-1111111111111111111-1111-1-111-1-1111111-1-1-1-1-1-11111-1-1-11-1-111-1-11-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111111111-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-1-1111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-11111-1-1
χ9111111111111111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111111-11-1-1-11111-1-1-1-1-1-11-11-1
χ10111111111111111111-1-111111111-1111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-11111-11-11111-1-11-1-1-1-1-1-1-11-11
χ11111111111111111111-1-1111111-1-11-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-111-11-1-111-1-1-1-11-1-1111111-1-1-11111-1-1-11
χ12111111111111111111-1-1111111-1-1-1111-1-111-1-1-1-1-1-1-1-11-111-1-1-1-1111-111-1-1-1-1-1-1-111-1-1-11-1-1-1-1-11111111-1
χ13111111111111111111-1-11111-1-1111-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-11-1-111-1-1-1-1-111-1-1-1-1-1-1111-1-11111-11
χ14111111111111111111-1-11111-1-111-1111-1-111-1-1-1-1-1-1-1-1-11-1-11111-1-11-111-1-1-1-1-1-11-1-1111-111111-1-111-1-11-1
χ15111111111111111111-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111111-11-1111-1-1-1-11111-1-1-111-1
χ16111111111111111111-1-11111-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111111-11-1-1-1-111-11111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-2-20000222200000022-2-2000000-200-20000000000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000-220000-2-222000000-2-222000000-20020000000000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-2000000002-2000022-2-2000000-2-222000000200-20000000000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-200000000220000-2-2-2-200000022-2-200000020020000000000
χ2122222-122-1-1222-1-1-1-1-1222-1-1222002222-1-1-1-1-1-122-1-1-1-120002200-1-1-12-1-1-1-10000220000-1-1-10-1-100000-100
χ2222222-122-1-1222-1-1-1-1-1222-1-122200-2-2-2-211-1-1-1-122-1-1-1-120002200-1-11-211110000-2-20000-1110-1-100000100
χ2322222-122-1-1222-1-1-1-1-1222-1-12-2-2002222-1-1-1-1-1-122-1-1-1-1-2000-2-20011-12-1-1-1-10000-2-2000011101100000100
χ2422222-122-1-1222-1-1-1-1-1222-1-12-2-200-2-2-2-211-1-1-1-122-1-1-1-1-2000-2-200111-2111100002200001-1-101100000-100
χ2522222-122-1-1222-1-1-1-1-1-2-22-1-1222002-2-2-2-1-1-1-111-2-211112000-2-200-1-11211-1-100002-20000-1-1-101100000100
χ2622222-122-1-1222-1-1-1-1-1-2-22-1-122200-222211-1-111-2-211112000-2-200-1-1-1-2-1-1110000-220000-11101100000-100
χ2722222-122-1-1222-1-1-1-1-1-2-22-1-12-2-2002-2-2-2-1-1-1-111-2-21111-20002200111211-1-10000-2200001110-1-100000-100
χ2822222-122-1-1222-1-1-1-1-1-2-22-1-12-2-200-222211-1-111-2-21111-2000220011-1-2-1-11100002-200001-1-10-1-100000100
χ292222-122222-1-1-12-1-1-1-122-122-1002222-1-122-1-122-1-1-1-1-1-1022200-1-1002-1-1-1-1-100000022-1-1000-100-1-100-1000
χ302222-122222-1-1-12-1-1-1-122-122-10022-2-211-2-2-1-122-1-1-1-1-1-1022200-1-100-211111000000-2-211000-100-1-1001000
χ312222-122222-1-1-12-1-1-1-122-122-100-2-222-1-122-1-122-1-1-1-1-1-10-2-2-20011002-1-1-1-1-1000000-2-21100010011001000
χ322222-122222-1-1-12-1-1-1-122-122-100-2-2-2-211-2-2-1-122-1-1-1-1-1-10-2-2-2001100-21111100000022-1-10001001100-1000
χ332222-122222-1-1-12-1-1-1-1-2-2-122-100222-21122-1-1-2-211111102-2-200-1-100-2-111-1-10000002-211000-1001100-1000
χ342222-122222-1-1-12-1-1-1-1-2-2-122-10022-22-1-1-2-2-1-1-2-211111102-2-200-1-10021-1-111000000-22-1-1000-10011001000
χ352222-122222-1-1-12-1-1-1-1-2-2-122-100-2-22-21122-1-1-2-21111110-222001100-2-111-1-1000000-22-1-1000100-1-1001000
χ362222-122222-1-1-12-1-1-1-1-2-2-122-100-2-2-22-1-1-2-2-1-1-2-21111110-22200110021-1-1110000002-211000100-1-100-1000
χ3722-2-222002-22-2-2-222-2-22−200002i−2i2i−2i000000002−22−222−2−200−i2i2−i2i22i−2i2i−2i0000002-2000000000000−i2i2−i2i22−20000
χ3822-2-222002-22-2-2-222-2-22−200002i−2i−2i2i000000002−22−222−2−200i2−i2−i2i2−2i2i2i−2i000000-22000000000000−i2i2i2−i2−220000
χ3922-2-222002-22-2-2-222-2-22−20000−2i2i2i−2i000000002−22−222−2−200−i2i2i2−i22i−2i−2i2i000000-22000000000000i2−i2−i2i2−220000
χ4022-2-222002-22-2-2-222-2-22−20000−2i2i−2i2i000000002−22−222−2−200i2−i2i2−i2−2i2i−2i2i0000002-2000000000000i2−i2i2−i22−20000
χ4122-2-222002-22-2-2-222-2-2−2200002i−2i2i−2i00000000−22−22−2−22200i2−i2i2−i22i−2i2i−2i0000002-2000000000000i2−i2i2−i2−220000
χ4222-2-222002-22-2-2-222-2-2−2200002i−2i−2i2i00000000−22−22−2−22200−i2i2i2−i2−2i2i2i−2i000000-22000000000000i2−i2−i2i22−20000
χ4322-2-222002-22-2-2-222-2-2−220000−2i2i2i−2i00000000−22−22−2−22200i2−i2−i2i22i−2i−2i2i000000-22000000000000−i2i2i2−i22−20000
χ4422-2-222002-22-2-2-222-2-2−220000−2i2i−2i2i00000000−22−22−2−22200−i2i2−i2i2−2i2i−2i2i0000002-2000000000000−i2i2−i2i2−220000
χ4544444-2-4-4-2-2444-2-2-2-2-200-422-444000000002200000000-40000000-2-2000000000000000020000000000000
χ4644444-2-4-4-2-2444-2-2-2-2-200-422-4-4-400000000220000000040000000220000000000000000-20000000000000
χ474444-24-4-444-2-2-24-2-2-2-2002-4-42004400000022000000000-40000-2-200000000000000000000020000000000
χ484444-24-4-444-2-2-24-2-2-2-2002-4-4200-4-4000000220000000004000022000000000000000000000-20000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-2-21111000000000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-21111000000000022-1-1-1-1000000000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-422-2-2112222-1-1-1-100000000002-2-1-111000000000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-44-2-222112222-1-1-1-10000000000-2211-1-1000000000000000000000000
χ5344-4-44-200-224-4-42-2-22222−2200004i−4i0000000000−2222−22−2−2220000−2i22i200−2i2i00000000000000000000i2−i200000000
χ5444-4-44-200-224-4-42-2-22222−220000−4i4i0000000000−2222−22−2−22200002i2−2i2002i−2i00000000000000000000−i2i200000000
χ5544-4-44-200-224-4-42-2-222−222200004i−4i00000000002−2−222222−2−200002i2−2i200−2i2i00000000000000000000−i2i200000000
χ5644-4-44-200-224-4-42-2-222−22220000−4i4i00000000002−2−222222−2−20000−2i22i2002i−2i00000000000000000000i2−i200000000
χ5744-4-4-24004-4-222-4-2-22222−220000004i−4i0000000022−22−22−2−22200−2i22i200−2i2i000000000000000000000000i2−i2000000
χ5844-4-4-24004-4-222-4-2-22222−22000000−4i4i0000000022−22−22−2−222002i2−2i2002i−2i000000000000000000000000−i2i2000000
χ5944-4-4-24004-4-222-4-2-222−22220000004i−4i00000000−22222−222−2−2002i2−2i200−2i2i000000000000000000000000−i2i2000000
χ6044-4-4-24004-4-222-4-2-222−2222000000−4i4i00000000−22222−222−2−200−2i22i2002i−2i000000000000000000000000i2−i2000000
χ614-44-4444-4-4-4-44-444-4-4400-44-440000000000-44000000000000000000000000000000000000000000000000
χ624-44-444-44-4-4-44-444-4-44004-44-400000000004-4000000000000000000000000000000000000000000000000
χ634-44-44-24-422-44-4-2-222-200-4-22400000000002-200000000000000000000000000000000000−2i32i300000000000
χ644-44-44-24-422-44-4-2-222-200-4-22400000000002-2000000000000000000000000000000000002i3−2i300000000000
χ654-44-44-2-4422-44-4-2-222-20042-2-400000000−2i32i3-220000000000000000000000−2i32i3000000000000000000000000
χ664-44-44-2-4422-44-4-2-222-20042-2-4000000002i3−2i3-2200000000000000000000002i3−2i3000000000000000000000000
χ674-44-4-244-4-4-42-224-222-20024-4-200000000002-200000000000000000000000000000000−2i32i300000000000000
χ684-44-4-244-4-4-42-224-222-20024-4-200000000002-2000000000000000000000000000000002i3−2i300000000000000
χ694-44-4-24-44-4-42-224-222-200-2-44200000023−2300-220000000000000000000023−2300000000000000000000000000
χ704-44-4-24-44-4-42-224-222-200-2-442000000−232300-2200000000000000000000−232300000000000000000000000000
χ714-44-4-2-2-44222-22-21-1-1100-22-2200000023−23−2i32i31-100003i−3i3i−3i000000000000−33i3−i3000000000000000000000000
χ724-44-4-2-2-44222-22-21-1-1100-22-2200000023−232i3−2i31-10000−3i3i−3i3i000000000000−33−i3i3000000000000000000000000
χ734-44-4-2-2-44222-22-21-1-1100-22-22000000−2323−2i32i31-10000−3i3i−3i3i0000000000003−3i3−i3000000000000000000000000
χ744-44-4-2-2-44222-22-21-1-1100-22-22000000−23232i3−2i31-100003i−3i3i−3i0000000000003−3−i3i3000000000000000000000000
χ754-4-444400-44-4-44-44-44-4000000000000000000000000000000000000000000004-400000000000000000000
χ764-4-444400-44-4-44-44-44-400000000000000000000000000000000000000000000-4400000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-44-444422-2-242−420000000000000000−2222−222222−2−20000000000000000000000000000000000000000
χ7988-8-8-4-400-44-444422-2-2−4242000000000000000022−2222−22−2−2220000000000000000000000000000000000000000
χ808-88-8-4-48-8444-44-42-2-22004-44-40000000000-22000000000000000000000000000000000000000000000000
χ818-8-888-4004-4-8-884-44-44000000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-4800-8844-4-8-44-44000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-444-442-22-20000000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ848-8-88-4-4004-444-442-22-200000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000

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