Finite Group Databasebeta

← Group #11878805

Character table — Group #11878805

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444446666668888888888881212121212121212121212121212121616161616161618182424242424242424243636364848487272
order122233446666663666881212121224242424444444246612122424242424244888812121212121224242424666121212124422441212122424288661224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1
χ311111111111111111111111111111111-1-1111111111111-1-1-1111111-1-111111111111-1-11-11-1-1-1-1-1-1-1-1-11-11-1-1
χ411111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-11-111
χ51111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-11-1111111-1-1-1-11-1-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1-1-11-1111
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
χ9111111111111111111-1-11111-1-1-1-11111111-11111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1111-1-11111-1-11-1-11-1-1-11
χ10111111111111111111-1-11111-1-1-1-1111111-11-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1111111-111-11-1-1-1-11-1-1-1111-1
χ11111111111111111111-1-11111-1-1-1-11111-1-11-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-111-11111-11-1
χ12111111111111111111-1-11111-1-1-1-11111-1-1-11-1-111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111-11111-111-1-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-11-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-111-1-111-1
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-11111-1-111-1-11-1-1-1-1-11111-1-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-111-111-1-1-1-1111-1-1-111-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111111-1-11-111111-1-11-1-11-1
χ17222222-2-2222222222200-2-2-2-2000022-2-2220000-2-2000000-2000022-2-22200000000000220000-20000-20000000
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
χ20222222-2-2222222222200-2-2-2-20000-2-222-2-20000-2-200000020000-2-222-2-20000000000022000020000-20000000
χ2122222-12222-1-12-1-1-1-1-1222-1-12-1-1-1-12222002222-1-122-1-1-1-100022-1-1-1-100-1-1-1-1-1-1-12-1-1-100202000000000-10-100
χ2222222-12222-1-12-1-1-1-1-1222-1-12-1-1-1-1222200-2-2-2-2-1-122-1-1-1-100022-1-1-1-100-1-1-1-1111-211100-20-200000000010100
χ2322222-12222-1-12-1-1-1-1-1222-1-12-1-1-1-1-2-2-2-2002222-1-122-1-1-1-1000-2-21111001111-1-1-12-1-1-100-20-200000000010100
χ2422222-12222-1-12-1-1-1-1-1222-1-12-1-1-1-1-2-2-2-200-2-2-2-2-1-122-1-1-1-1000-2-21111001111111-211100202000000000-10-100
χ2522222-12222-1-12-1-1-1-1-1-2-22-1-1211112222002-222-1-1-2-21111000-2-2-1-1-1-1001111-1-1-1-21110020-2000000000-10100
χ2622222-12222-1-12-1-1-1-1-1-2-22-1-121111222200-22-2-2-1-1-2-21111000-2-2-1-1-1-10011111112-1-1-100-20200000000010-100
χ2722222-12222-1-12-1-1-1-1-1-2-22-1-121111-2-2-2-2002-222-1-1-2-2111100022111100-1-1-1-1-1-1-1-211100-20200000000010-100
χ2822222-12222-1-12-1-1-1-1-1-2-22-1-121111-2-2-2-200-22-2-2-1-1-2-2111100022111100-1-1-1-11112-1-1-10020-2000000000-10100
χ292222-1222-1-122-12-1-1-1-122-122-1222200002222-1-1-1-1-1-1-1-1-1-1222000000-1-100002-1-1-12-1-1000202-1-1-1-1-10000-1000
χ302222-1222-1-122-12-1-1-1-122-122-12222000022-2-211-1-1-1-1-1-1-1-1222000000-1-10000-2111-211000-20-2-111-1-100001000
χ312222-1222-1-122-12-1-1-1-122-122-122220000-2-222-1-1-1-1-1-1-1-1-1-1-2-2-20000001100002-1-1-12-1-1000-20-21111100001000
χ322222-1222-1-122-12-1-1-1-122-122-122220000-2-2-2-211-1-1-1-1-1-1-1-1-2-2-2000000110000-2111-2110002021-1-1110000-1000
χ332222-1222-1-122-12-1-1-1-1-2-2-122-1-2-2-2-20000222-2-1-1-1-11111112-2-2000000-1-100002-1-11-211000-202-1-1-11100001000
χ342222-1222-1-122-12-1-1-1-1-2-2-122-1-2-2-2-2000022-2211-1-11111112-2-2000000-1-10000-211-12-1-100020-2-111110000-1000
χ352222-1222-1-122-12-1-1-1-1-2-2-122-1-2-2-2-20000-2-22-2-1-1-1-1111111-2220000001100002-1-11-21100020-2111-1-10000-1000
χ362222-1222-1-122-12-1-1-1-1-2-2-122-1-2-2-2-20000-2-2-2211-1-1111111-222000000110000-211-12-1-1000-2021-1-1-1-100001000
χ3722-2-222002-22-2-2-222-2-2−i2i20000−i2−i2i2i22-2002i−2i000000−i2i2−i2−i2i2i202−2−i2i22-2002i−2i−i2−i2i2i200000002i−2i00000002−202−200000
χ3822-2-222002-22-2-2-222-2-2−i2i20000−i2−i2i2i22-200−2i2i000000−i2i2−i2−i2i2i20−22−i2i22-200−2i2i−i2−i2i2i20000000−2i2i0000000−220−2200000
χ3922-2-222002-22-2-2-222-2-2−i2i20000−i2−i2i2i2-22002i−2i000000−i2i2−i2−i2i2i202−2i2−i2-22002i−2ii2i2−i2−i20000000−2i2i00000002−20−2200000
χ4022-2-222002-22-2-2-222-2-2−i2i20000−i2−i2i2i2-2200−2i2i000000−i2i2−i2−i2i2i20−22i2−i2-2200−2i2ii2i2−i2−i200000002i−2i0000000−2202−200000
χ4122-2-222002-22-2-2-222-2-2i2−i20000i2i2−i2−i22-2002i−2i000000i2−i2i2i2−i2−i20−22i2−i22-2002i−2ii2i2−i2−i200000002i−2i0000000−220−2200000
χ4222-2-222002-22-2-2-222-2-2i2−i20000i2i2−i2−i22-200−2i2i000000i2−i2i2i2−i2−i202−2i2−i22-200−2i2ii2i2−i2−i20000000−2i2i00000002−202−200000
χ4322-2-222002-22-2-2-222-2-2i2−i20000i2i2−i2−i2-22002i−2i000000i2−i2i2i2−i2−i20−22−i2i2-22002i−2i−i2−i2i2i20000000−2i2i0000000−2202−200000
χ4422-2-222002-22-2-2-222-2-2i2−i20000i2i2−i2−i2-2200−2i2i000000i2−i2i2i2−i2−i202−2−i2i2-2200−2i2i−i2−i2i2i200000002i−2i00000002−20−2200000
χ4544444-2-4-444-2-24-2-2-2-2-200-422-4000044-4-40000002200000000000-2-22200000000000000000000000000000000
χ4644444-2-4-444-2-24-2-2-2-2-200-422-40000-4-444000000220000000000022-2-200000000000000000000000000000000
χ474444-24-4-4-2-244-24-2-2-2-2002-4-420000000044000022000000-400000000-2-2000000000000000002000000000000
χ484444-24-4-4-2-244-24-2-2-2-2002-4-4200000000-4-40000220000004000000002200000000000000000-2000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-211-2-21111000000000000000-211-2-2110000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-42211-2-211110000000000000002-1-122-1-10000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-21122-1-1-1-1000000000000000-21122-1-10000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44221122-1-1-1-10000000000000002-1-1-2-2110000000000000000000
χ5344-4-44-2004-4-22-42-2-222−2i22i20000i2i2−i2−i24-40000000000−2i22i2i2i2−i2−i2000−2i22i2-220000i2i2−i2−i200000000000000000000000000
χ5444-4-44-2004-4-22-42-2-222−2i22i20000i2i2−i2−i2-440000000000−2i22i2i2i2−i2−i20002i2−2i22-20000−i2−i2i2i200000000000000000000000000
χ5544-4-44-2004-4-22-42-2-2222i2−2i20000−i2−i2i2i24-400000000002i2−2i2−i2−i2i2i20002i2−2i2-220000−i2−i2i2i200000000000000000000000000
χ5644-4-44-2004-4-22-42-2-2222i2−2i20000−i2−i2i2i2-4400000000002i2−2i2−i2−i2i2i2000−2i22i22-20000i2i2−i2−i200000000000000000000000000
χ5744-4-4-2400-224-42-4-2-222−2i22i20000−2i2−2i22i22i200004i−4i000000i2−i2i2i2−i2−i2022−22000000−2i2i00000000000000000000−2200000000
χ5844-4-4-2400-224-42-4-2-222−2i22i20000−2i2−2i22i22i20000−4i4i000000i2−i2i2i2−i2−i20−22220000002i−2i000000000000000000002−200000000
χ5944-4-4-2400-224-42-4-2-2222i2−2i200002i22i2−2i2−2i200004i−4i000000−i2i2−i2−i2i2i20−2222000000−2i2i000000000000000000002−200000000
χ6044-4-4-2400-224-42-4-2-2222i2−2i200002i22i2−2i2−2i20000−4i4i000000−i2i2−i2−i2i2i2022−220000002i−2i00000000000000000000−2200000000
χ614-44-4444-4-44-4-4-444-4-4400-44-4400000000000000-4400000000000000000000000000000000000000000000000
χ624-44-444-44-44-4-4-444-4-44004-44-4000000000000004-400000000000000000000000000000000000000000000000
χ634-44-44-24-4-4422-4-2-222-200-4-224−2i32i3−2i32i300000000002-200−2i32i3−2i32i300000000000000000000000000000000000000000
χ644-44-44-24-4-4422-4-2-222-200-4-2242i3−2i32i3−2i300000000002-2002i3−2i32i3−2i300000000000000000000000000000000000000000
χ654-44-44-2-44-4422-4-2-222-20042-2-400000000000000-2200000000000000000−2i32i3−2i32i300000000000000000000000000
χ664-44-44-2-44-4422-4-2-222-20042-2-400000000000000-22000000000000000002i3−2i32i3−2i300000000000000000000000000
χ674-44-4-244-42-2-4-424-222-20024-4-2000000000000−2i32i32-20000000000000000000000−2i32i300000000000000000000000
χ684-44-4-244-42-2-4-424-222-20024-4-20000000000002i3−2i32-200000000000000000000002i3−2i300000000000000000000000
χ694-44-4-24-442-2-4-424-222-200-2-44200000000000000-220000000000000000000000000000000000023−230000000000
χ704-44-4-24-442-2-4-424-222-200-2-44200000000000000-2200000000000000000000000000000000000−23230000000000
χ714-44-4-2-24-42-2222-21-1-11002-22-2−2i32i3−2i32i300000000−2i32i3-1100i3−i3i3−i30000000000000000i3−i3003-30000000000000000000
χ724-44-4-2-24-42-2222-21-1-11002-22-2−2i32i3−2i32i3000000002i3−2i3-1100i3−i3i3−i30000000000000000−i3i300-330000000000000000000
χ734-44-4-2-24-42-2222-21-1-11002-22-22i3−2i32i3−2i300000000−2i32i3-1100−i3i3−i3i30000000000000000i3−i300-330000000000000000000
χ744-44-4-2-24-42-2222-21-1-11002-22-22i3−2i32i3−2i3000000002i3−2i3-1100−i3i3−i3i30000000000000000−i3i3003-30000000000000000000
χ754-4-444400-4-4-444-44-44-40000000000004-40000000000000000000004-400000000000000000000000000000000
χ764-4-444400-4-4-444-44-44-4000000000000-44000000000000000000000-4400000000000000000000000000000000
χ774-4-444-200-4-42-242-22-220000006−6−66004-400000000006−6−660000000-22006−6−6600000000000000000000000000
χ784-4-444-200-4-42-242-22-220000006−6−6600-4400000000006−6−6600000002-200−666−600000000000000000000000000
χ794-4-444-200-4-42-242-22-22000000−666−6004-40000000000−666−60000000-2200−666−600000000000000000000000000
χ804-4-444-200-4-42-242-22-22000000−666−600-440000000000−666−600000002-2006−6−6600000000000000000000000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-444422-2-2−4i24i200002i22i2−2i2−2i20000000000002i2−2i2−i2−i2i2i200000000000000000000000000000000000000000
χ8388-8-8-4-400-44-444422-2-24i2−4i20000−2i2−2i22i22i2000000000000−2i22i2i2i2−i2−i200000000000000000000000000000000000000000
χ848-88-8-4-4-884-4444-42-2-2200-44-44000000000000002-200000000000000000000000000000000000000000000000
χ858-8-88-480044-88-4-8-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-4-442-22-200000026−26−262600000000000000−666−600000000000000000000000000000000000000000
χ878-8-88-4-400444-4-442-22-2000000−262626−26000000000000006−6−6600000000000000000000000000000000000000000

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