Finite Group Databasebeta

← Group #11878721

Character table — Group #11878721

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order1222334444666666346661212121212121212121222444466664412121212121212121212124888812121212121212121212121224446612121212121224242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111-1-11-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11111-1-1-1-1-1-11111111-1-111111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ9111111-1-1111111111-1111-1-1-1-11-1-111111-1-1-1-111111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1111-111-1-111-1-111-1-111-1-111-1-111-1-1-11
χ10111111-1-1111111111-1111-1-1-1-11-1-111111-1-1-1-111111-1-111-1-1-1-1-1-1111-1-111-1-1-1-1111-111-1-1-11-11-1-11111-1-1-1-111-1-1111-1
χ11111111-1-1111111111-1111-1-1-1-11-1-111111-1-1-1-11111-11-1-1-111-1-1-1-111111-1-1-1-1-1-111-11-1-111-1-111-1-111-1-11111-1-111-1-11-1
χ12111111-1-1111111111-1111-1-1-1-11-1-111111-1-1-1-11111-11-1-1-111-1-1-1-1111-1-111-1-1-1-111-11-1-1111-11-111-1-1-1-111-1-111-1-111-11
χ13111111-1-1111111111-1111-1-1-1-11-1-1111-1-11111-1-1-1-11-1-111-1-1-1-1-1-111-111-1-11111-1-11-111-1-11-11-111-1-1-1-11111-1-1-1-1111-1
χ14111111-1-1111111111-1111-1-1-1-11-1-1111-1-11111-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1111111-1-11-111-1-1-1-111-1-111-1-111-1-11111-1-1-11
χ15111111-1-1111111111-1111-1-1-1-11-1-1111-1-11111-1-1-1-1-11-1-1-111-1-1-1-111-111-1-11111-1-1-11-1-111-11-11-1-11111-1-111-1-1-1-111-11
χ16111111-1-1111111111-1111-1-1-1-11-1-1111-1-11111-1-1-1-1-11-1-1-111-1-1-1-111-1-1-1111111-1-1-11-1-11111-1-111-1-111-1-1-1-11111-1-11-1
χ1722222222-2-22222222-222222-2-2-222-2-2-222-2-222222200-2000022-2-2-2-2-2000022-2-2-2-20000000000000000000000000000
χ1822222222-2-22222222-222222-2-2-222-2-2-2-2-222-2-2-2-2-2-200-2000022-2-2-2-220000-2-222220000000000000000000000000000
χ19222222-2-2-2-222222222222-2-222-2-2-2-2-2-22222-2-222220020000-2-222-2-2-20000-2-222-2-20000000000000000000000000000
χ20222222-2-2-2-222222222222-2-222-2-2-2-2-2-2-2-2-2-222-2-2-2-20020000-2-222-2-22000022-2-2220000000000000000000000000000
χ2122222-12222-122-1-12-12-1-1-12222-1-1-122-1000000000022-12222-1-1-1-1-1-102222000000-1-1-1-1-1-12002-1-1-1-10000-1-1-1-1000000
χ2222222-12222-122-1-12-12-1-1-12222-1-1-122-1000000000022-12222-1-1-1-1-1-10-2-2-2-2000000-1-1-1-1-1-1-200-2111100001111000000
χ2322222-12222-122-1-12-12-1-1-12222-1-1-122-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-102222000000111111-200-211110000-1-1-1-1000000
χ2422222-12222-122-1-12-12-1-1-12222-1-1-122-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-10-2-2-2-20000001111112002-1-1-1-100001111000000
χ2522222-1-2-222-122-1-12-1-2-1-1-1-2-2-2-2-11122-100000000002-2122-2-21111-1-1022-2-2000000-11-1-111200-2-1-1110000-1-111000000
χ2622222-1-2-222-122-1-12-1-2-1-1-1-2-2-2-2-11122-100000000002-2122-2-21111-1-10-2-222000000-11-1-111-200211-1-1000011-1-1000000
χ2722222-1-2-222-122-1-12-1-2-1-1-1-2-2-2-2-11122-10000000000-221-2-2221111-1-1022-2-20000001-111-1-1-200211-1-10000-1-111000000
χ2822222-1-2-222-122-1-12-1-2-1-1-1-2-2-2-2-11122-10000000000-221-2-2221111-1-10-2-2220000001-111-1-1200-2-1-111000011-1-1000000
χ292222-1222222-1-122-1-12-1-1-1-1-1-1-1222-1-12222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-122-1-1-1-102200000-1-1-1-10000000000
χ302222-1222222-1-122-1-12-1-1-1-1-1-1-1222-1-12222222-1-1-1-1-2-221111-1-1-1-1-1-120000-1-1-1-1-1-1-2-211110-2-20000011110000000000
χ312222-1222222-1-122-1-12-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-21111222-1-1-1-1-1-1-1-1-1-1-2000011111122-1-1-1-10-2-20000011110000000000
χ322222-1222222-1-122-1-12-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-21111-2-221111-1-1-1-1-1-1-20000111111-2-2111102200000-1-1-1-10000000000
χ332222-1222-2-22-1-122-1-1-2-1-1-1-1-111-22211-222-2-222-1-1-1-100-2−i3i3−i3i3-1-11111-20000-1-1111100−i3i3−i3i300000000−i3i3−i3i30000000000
χ342222-1222-2-22-1-122-1-1-2-1-1-1-1-111-22211-222-2-222-1-1-1-100-2i3−i3i3−i3-1-11111-20000-1-1111100i3−i3i3−i300000000i3−i3i3−i30000000000
χ352222-1222-2-22-1-122-1-1-2-1-1-1-1-111-22211-2-2-222-2-2111100-2−i3i3−i3i3-1-111112000011-1-1-1-100−i3i3−i3i300000000i3−i3i3−i30000000000
χ362222-1222-2-22-1-122-1-1-2-1-1-1-1-111-22211-2-2-222-2-2111100-2i3−i3i3−i3-1-111112000011-1-1-1-100i3−i3i3−i300000000−i3i3−i3i30000000000
χ372222-12-2-2222-1-122-1-1-2-1-1-111112-2-2-1-1222-2-2-2-2-1-1-1-12-2-2-1-1111111-1-1200001111-1-12-2-1-11102-200000-1-1110000000000
χ382222-12-2-2222-1-122-1-1-2-1-1-111112-2-2-1-1222-2-2-2-2-1-1-1-1-22-211-1-11111-1-1200001111-1-1-2211-1-10-220000011-1-10000000000
χ392222-12-2-2222-1-122-1-1-2-1-1-111112-2-2-1-12-2-2222211112-2-2-1-1111111-1-1-20000-1-1-1-1112-2-1-1110-220000011-1-10000000000
χ402222-12-2-2222-1-122-1-1-2-1-1-111112-2-2-1-12-2-222221111-22-211-1-11111-1-1-20000-1-1-1-111-2211-1-102-200000-1-1110000000000
χ412222-12-2-2-2-22-1-122-1-12-1-1-111-1-1-2-2-211-22222-2-2-1-1-1-1002−i3i3i3−i311-1-111-2000011-1-11100−i3i3i3−i300000000−i3i3i3−i30000000000
χ422222-12-2-2-2-22-1-122-1-12-1-1-111-1-1-2-2-211-22222-2-2-1-1-1-1002i3−i3−i3i311-1-111-2000011-1-11100i3−i3−i3i300000000i3−i3−i3i30000000000
χ432222-12-2-2-2-22-1-122-1-12-1-1-111-1-1-2-2-211-2-2-2-2-2221111002−i3i3i3−i311-1-11120000-1-111-1-100−i3i3i3−i300000000i3−i3−i3i30000000000
χ442222-12-2-2-2-22-1-122-1-12-1-1-111-1-1-2-2-211-2-2-2-2-2221111002i3−i3−i3i311-1-11120000-1-111-1-100i3−i3−i3i300000000−i3i3i3−i30000000000
χ452-2-22222-200-22-2-22-2202-2-22-20002-20002-2002-222-2-200000002-200000−i2i2−i2i22-20000000000000000000000−i2i2−i2i2−i2i2−i2i200
χ462-2-22222-200-22-2-22-2202-2-22-20002-20002-2002-222-2-200000002-200000i2−i2i2−i22-20000000000000000000000i2−i2i2−i2i2−i2i2−i200
χ472-2-22222-200-22-2-22-2202-2-22-20002-2000-2200-22-2-22200000002-200000−i2i2−i2i2-220000000000000000000000−i2i2−i2i2i2−i2i2−i200
χ482-2-22222-200-22-2-22-2202-2-22-20002-2000-2200-22-2-22200000002-200000i2−i2i2−i2-220000000000000000000000i2−i2i2−i2−i2i2−i2i200
χ492-2-2222-2200-22-2-22-2202-2-2-22000-220002-200-2222-2-20000000-2200000−i2i2i2−i2-220000000000000000000000−i2i2i2−i2−i2i2i2−i200
χ502-2-2222-2200-22-2-22-2202-2-2-22000-220002-200-2222-2-20000000-2200000i2−i2−i2i2-220000000000000000000000i2−i2−i2i2i2−i2−i2i200
χ512-2-2222-2200-22-2-22-2202-2-2-22000-22000-22002-2-2-2220000000-2200000−i2i2i2−i22-20000000000000000000000−i2i2i2−i2i2−i2−i2i200
χ522-2-2222-2200-22-2-22-2202-2-2-22000-22000-22002-2-2-2220000000-2200000i2−i2−i2i22-20000000000000000000000i2−i2−i2i2−i2i2i2−i200
χ5344444-244-4-4-244-2-24-2-4-2-2-244-4-42-2-2-4-4200000000000020000-2-22222000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-244-2-24-24-2-2-2-4-444222-4-42000000000000-2000022-2-222000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000000000044-2-2-2-2-211111100000000000-2-211110000000000000000000000
χ564444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000000-4-4-222221111110000000000022-1-1-1-10000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-22220000000000002−2i32i3−2i32i311-1-1-1-10000000000000i3−i3i3−i30000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-222200000000000022i3−2i32i3−2i311-1-1-1-10000000000000−i3i3−i3i30000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-21-41112222-222-2-2-200000000004-42-2-222-1-1-1-11100000000000-2211-1-10000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-21-41112222-222-2-2-20000000000-44222-2-2-1-1-1-111000000000002-2-1-1110000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-2222222000000000000-2−2i32i32i3−2i3-1-111-1-10000000000000i3−i3−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-2222222000000000000-22i3−2i3−2i32i3-1-111-1-10000000000000−i3i3i3−i30000000000000000000000
χ6344-4-44400004-44-4-4-440-44-40000000000004-4000000000000000000000000004-4000000000000000000000000000000
χ6444-4-44400004-44-4-4-440-44-4000000000000-4400000000000000000000000000-44000000000000000000000000000000
χ6544-4-4-24000042-2-4-42-202-2200−2i32i3000000004-400−2i32i3−2i32i3000000000−2i32i3000000000-22000000000000000000000000000000
χ6644-4-4-24000042-2-4-42-202-2200−2i32i300000000-44002i3−2i32i3−2i3000000000−2i32i30000000002-2000000000000000000000000000000
χ6744-4-4-24000042-2-4-42-202-22002i3−2i3000000004-4002i3−2i32i3−2i30000000002i3−2i3000000000-22000000000000000000000000000000
χ6844-4-4-24000042-2-4-42-202-22002i3−2i300000000-4400−2i32i3−2i32i30000000002i3−2i30000000002-2000000000000000000000000000000
χ694-44-444004-4-4-4-44-4440-4-440000-4004-440000000000000000000004-4000000000000000000000000000000000000000
χ704-44-44400-44-4-4-44-4440-4-440000400-44-4000000000000000000000-44000000000000000000000000000000000000000
χ714-44-44-2004-42-4-4-224-2022-200002004-4-2000000000000000000000-22000000000000000000000−2i32i30000000000000000
χ724-44-44-2004-42-4-4-224-2022-200002004-4-2000000000000000000000-220000000000000000000002i3−2i30000000000000000
χ734-44-44-200-442-4-4-224-2022-20000-200-4420000000000000000000002-20000000000000000000000023−2300000000000000
χ744-44-44-200-442-4-4-224-2022-20000-200-4420000000000000000000002-200000000000000000000000−232300000000000000
χ754-44-4-24004-4-4224-4-2-2022-20000-400-224000000−2i32i32i3−2i300000000000-22000000000−2i32i30000000000000000000000000000
χ764-44-4-24004-4-4224-4-2-2022-20000-400-2240000002i3−2i3−2i32i300000000000-220000000002i3−2i30000000000000000000000000000
χ774-44-4-2400-44-4224-4-2-2022-200004002-2-4000000−2i32i32i3−2i3000000000002-20000000002i3−2i30000000000000000000000000000
χ784-44-4-2400-44-4224-4-2-2022-200004002-2-40000002i3−2i3−2i32i3000000000002-2000000000−2i32i30000000000000000000000000000
χ794-4-444-24-40024-42-2-4-20-2224-4000-2200000000000000000000-2200000−2i22i2−2i22i2000000000000000000000000i2−i2i2−i2000000
χ804-4-444-24-40024-42-2-4-20-2224-4000-2200000000000000000000-22000002i2−2i22i2−2i2000000000000000000000000−i2i2−i2i2000000
χ814-4-444-2-440024-42-2-4-20-222-440002-2000000000000000000002-200000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i2000000
χ824-4-444-2-440024-42-2-4-20-222-440002-2000000000000000000002-2000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i2000000
χ834-4-44-244-400-4-22-442-20-222-220004-40004-4004-4-2-2220000000-22000000000-2200000000000000000000000000000000
χ844-4-44-244-400-4-22-442-20-222-220004-4000-4400-4422-2-20000000-220000000002-200000000000000000000000000000000
χ854-4-44-24-4400-4-22-442-20-2222-2000-440004-400-44-2-22200000002-20000000002-200000000000000000000000000000000
χ864-4-44-24-4400-4-22-442-20-2222-2000-44000-44004-422-2-200000002-2000000000-2200000000000000000000000000000000
χ8788-8-88-40000-4-8844-8-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-40000-44-444420-22-200−4i34i300000000000000000000000002i3−2i300000000000000000000000000000000000000000
χ8988-8-8-4-40000-44-444420-22-2004i3−4i30000000000000000000000000−2i32i300000000000000000000000000000000000000000
χ908-88-8-4-4008-8444-44-420-2-220000400-44-40000000000000000000002-2000000000000000000000000000000000000000
χ918-88-8-4-400-88444-44-420-2-220000-4004-44000000000000000000000-22000000000000000000000000000000000000000
χ928-8-88-4-48-8004-444-44202-2-2-44000-44000000000000000000002-20000000000000000000000000000000000000000000
χ938-8-88-4-4-88004-444-44202-2-24-40004-400000000000000000000-220000000000000000000000000000000000000000000

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