Finite Group Databasebeta

← Group #11888600

Character table — Group #11888600

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order122233446666662346666612121212121244246666612121212121212222444488121212121212121266612121244666812121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-11111-1-1111111111111111-11-1-1-11-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-11111-1-111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-11
χ51111111111111111111111111111-1-111111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1111111-11-1111-111-1-11111-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111-1-1-1-1-1-11111-1-11111-111-111-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-11111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-11-1-1-1-11-1-1-1111111-1-111-1
χ911111111111111-11-1-1-111111-1-111111-111-1-1-1-1-1-111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-11-11111-1-1-11111-1-1-1-1-111
χ1011111111111111-11-1-1-111111-1-111111-111-1-1-1-1-1-111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1111-1-1-1-11111-1-111111-1-1
χ1111111111111111-11-1-1-111111-1-11111-11-1-1-1-1-1-11111-1-1111-111-11111-1-11111-1-1-1111-1-1111-1-1-1-1-1-1-1-11111-11-1
χ1211111111111111-11-1-1-111111-1-11111-11-1-1-1-1-1-11111-1-11-1-1-111-1-1-111-1-11111-1-1-1111-111-1-11-111-1-111-1-1-1-11-11
χ1311111111111111-11-1-1-111111-1-111-1-11-111-1-1-1-1-1-111-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1
χ1411111111111111-11-1-1-111111-1-111-1-11-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1111111111-1-1-1-11-1-1-1-1111-1-1-1-111-1-1-111
χ1511111111111111-11-1-1-111111-1-111-1-1-11-1-1-1-1-1-11111-1-1-1111-1-1111-1-111-1-1-1-1-1-1-11111-1-111-11-1-111-1-111-1-11-11
χ1611111111111111-11-1-1-111111-1-111-1-1-11-1-1-1-1-1-11111-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1-1-111111-1-1-111111111-1-111-11-1
χ17222222-2-222222222-222222-2-2-2-2-2-2220000222-200-2-2-2-2-200200-2002222000000000000-2000-20000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-20000222-200-2-2-2-2200-200200-2-2-2-2000000000000200020000000000000
χ19222222-2-2222222-222-2-2222-2-222-2-2220000-2-2-2200-2-222-200-20020022-2-2000000000000-200020000000000000
χ20222222-2-2222222-222-2-2222-2-222-2-2-2-20000-2-2-2200-2-222200200-200-2-2220000000000002000-20000000000000
χ2122222-122-1-122-122-1222-1-1-122-1-1-1-1002222-1-1-1222-1-1-1-102200002200000000-1-1-1-1-1-1020-1-120-1-100-1-1-1-100000
χ2222222-122-1-122-122-1222-1-1-122-1-1-1-1002222-1-1-1222-1-1-1-10-2-20000-2-200000000-1-1-1-1-1-10-2011-201100111100000
χ2322222-122-1-122-122-1222-1-1-122-1-1-1-100-2-2-2-2-1-1-12-2-2-1-1-1-10220000-2-200000000111111020-1-1-20-1-100111100000
χ2422222-122-1-122-122-1222-1-1-122-1-1-1-100-2-2-2-2-1-1-12-2-2-1-1-1-10-2-2000022000000001111110-2011201100-1-1-1-100000
χ2522222-122-1-122-12-2-1-2-2-2-1-1-12211-1-1002-222111-2-2-2-1-1110220000-2-200000000-1-1-11110-20-1-1201100-1-11100000
χ2622222-122-1-122-12-2-1-2-2-2-1-1-12211-1-1002-222111-2-2-2-1-1110-2-200002200000000-1-1-111102011-20-1-10011-1-100000
χ2722222-122-1-122-12-2-1-2-2-2-1-1-12211-1-100-22-2-2111-222-1-11102200002200000000111-1-1-10-20-1-1-20110011-1-100000
χ2822222-122-1-122-12-2-1-2-2-2-1-1-12211-1-100-22-2-2111-222-1-1110-2-20000-2-200000000111-1-1-10201120-1-100-1-11100000
χ292222-122222-1-12-12-12-1-1-1-1-1-1-122222222-1-12-1-1-1-1-1-1-1-1-1200222200-1-1-1-1-1-1-1-12-1-12-1-120-1000-100-1-1000000000
χ302222-122222-1-12-12-12-1-1-1-1-1-1-1222222-2-2112-1-1-111-1-1-1-12002-2-2200-1-1-1-11111-211-211-20-1000-10011000000000
χ312222-122222-1-12-12-12-1-1-1-1-1-1-12222-2-222-1-12-1-1-1-1-1-1-1-1-1-200-2-2-2-200111111112-1-12-1-1-20100010011000000000
χ322222-122222-1-12-12-12-1-1-1-1-1-1-12222-2-2-2-2112-1-1-111-1-1-1-1-200-222-2001111-1-1-1-1-211-211201000100-1-1000000000
χ332222-122222-1-12-1-2-1-211-1-1-1-1-1-2-222222-2-1-1-211111-1-111200-2-2-2-200-1-11111112-1-1-21120-1000100-1-1000000000
χ342222-122222-1-12-1-2-1-211-1-1-1-1-1-2-22222-2211-2111-1-1-1-111200-222-200-1-111-1-1-1-1-2112-1-1-20-100010011000000000
χ352222-122222-1-12-1-2-1-211-1-1-1-1-1-2-222-2-22-2-1-1-211111-1-111-20022220011-1-1-1-1-1-12-1-1-211-201000-10011000000000
χ362222-122222-1-12-1-2-1-211-1-1-1-1-1-2-222-2-2-2211-2111-1-1-1-111-2002-2-220011-1-11111-2112-1-1201000-100-1-1000000000
χ372222-12-2-222-1-12-12-1-2-1-1-1-1-111-2-2-2-22200−i3i32-1-11−i3i31111-200200-200-1-1-1-1−i3−i3i3i30−i3i30−i3i3001000100−i3i3000000000
χ382222-12-2-222-1-12-12-1-2-1-1-1-1-111-2-2-2-22200i3−i32-1-11i3−i31111-200200-200-1-1-1-1i3i3−i3−i30i3−i30i3−i3001000100i3−i3000000000
χ392222-12-2-222-1-12-12-1-2-1-1-1-1-111-2-2-2-2-2-200−i3i32-1-11−i3i31111200-2002001111i3i3−i3−i30−i3i30−i3i300-1000-100i3−i3000000000
χ402222-12-2-222-1-12-12-1-2-1-1-1-1-111-2-2-2-2-2-200i3−i32-1-11i3−i31111200-2002001111−i3−i3i3i30i3−i30i3−i300-1000-100−i3i3000000000
χ412222-12-2-222-1-12-1-2-1211-1-1-11122-2-22200−i3i3-211-1i3−i311-1-1-200-200200-1-111i3i3−i3−i30−i3i30i3−i3001000-100−i3i3000000000
χ422222-12-2-222-1-12-1-2-1211-1-1-11122-2-22200i3−i3-211-1−i3i311-1-1-200-200200-1-111−i3−i3i3i30i3−i30−i3i3001000-100i3−i3000000000
χ432222-12-2-222-1-12-1-2-1211-1-1-11122-2-2-2-200−i3i3-211-1i3−i311-1-1200200-20011-1-1−i3−i3i3i30−i3i30i3−i300-1000100i3−i3000000000
χ442222-12-2-222-1-12-1-2-1211-1-1-11122-2-2-2-200i3−i3-211-1−i3i311-1-1200200-20011-1-1i3i3−i3−i30i3−i30−i3i300-1000100−i3i3000000000
χ452-2-22222-2-2-22-22-202000-22-22-2002-20000000000002-20002-202i−2i00000002i−2i2i−2i0000000002-200000000002i−2i000
χ462-2-22222-2-2-22-22-202000-22-22-2002-20000000000002-20002-20−2i2i0000000−2i2i−2i2i0000000002-20000000000−2i2i000
χ472-2-22222-2-2-22-22-202000-22-22-2002-20000000000002-2000-2202i−2i00000002i−2i2i−2i000000000-220000000000−2i2i000
χ482-2-22222-2-2-22-22-202000-22-22-2002-20000000000002-2000-220−2i2i0000000−2i2i−2i2i000000000-2200000000002i−2i000
χ4944444-2-4-4-2-244-244-2-444-2-2-2-4-42222000000-2-2-2-40022220000000000000000000000000000000000000000000
χ5044444-2-4-4-2-244-24-4-24-4-4-2-2-2-4-4-2-22200000022240022-2-20000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-20044-2-2-211-2-2-2111100000000000000000-211-21100000000000000000000
χ524444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-200-4-422-211-2221111000000000000000002-1-12-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-422111-2-222-2-2004-4-2-22-1-122211-1-100000000000000000-2112-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-422111-2-222-2-200-44222-1-12-2-211-1-1000000000000000002-1-1-21100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000−2i32i3-2112−2i32i3-1-1-1-1000000000000000000i3−i30i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200002i3−2i3-21122i3−2i3-1-1-1-1000000000000000000−i3i30−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-4142211122-2-2220000−2i32i32-1-1-22i3−2i3-1-111000000000000000000i3−i30−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-4142211122-2-22200002i3−2i32-1-1-2−2i32i3-1-111000000000000000000−i3i30i3−i300000000000000000000
χ5944-4-444004-4-4-4-44040004-4-400000000000000000000000000000−2i22i2000000000000000000000000000−2i22i200000
χ6044-4-444004-4-4-4-44040004-4-4000000000000000000000000000002i2−2i20000000000000000000000000002i2−2i200000
χ6144-4-44-200-22-4-4240-2000-2220023−23000000000000000023−230000000−2i22i20000000000000000000000000i6−i6i2−i200000
χ6244-4-44-200-22-4-4240-2000-2220023−23000000000000000023−2300000002i2−2i20000000000000000000000000−i6i6−i2i200000
χ6344-4-44-200-22-4-4240-2000-22200−23230000000000000000−23230000000−2i22i20000000000000000000000000−i6i6i2−i200000
χ6444-4-44-200-22-4-4240-2000-22200−23230000000000000000−232300000002i2−2i20000000000000000000000000i6−i6−i2i200000
χ654-44-44400-44-44-4-404000-4-440000004i−4i000000000000000000000004i−4i00000000000000000000000000000000
χ664-44-44400-44-44-4-404000-4-44000000−4i4i00000000000000000000000−4i4i00000000000000000000000000000000
χ674-44-4-2400-442-2-420-20−2i32i322-20000004i−4i00000−2i32i30000000000000000−2i2i23−23000000000000000000000000000000
χ684-44-4-2400-442-2-420-20−2i32i322-2000000−4i4i00000−2i32i300000000000000002i−2i−2323000000000000000000000000000000
χ694-44-4-2400-442-2-420-202i3−2i322-20000004i−4i000002i3−2i30000000000000000−2i2i−2323000000000000000000000000000000
χ704-44-4-2400-442-2-420-202i3−2i322-2000000−4i4i000002i3−2i300000000000000002i−2i23−23000000000000000000000000000000
χ714-4-4444-44-4-44-44-404000-44-4-4400-44000000000000-44000000000000000000000000000000000000000000000
χ724-4-444-24-4224-4-2-40-20002-224-400-22000000000000-220004-400000000000000000000000-22000000000000000
χ734-4-444-24-4224-4-2-40-20002-224-400-22000000000000-22000-44000000000000000000000002-2000000000000000
χ744-4-444-2-44224-4-2-40-20002-22-44002-20000000000002-200000000000000000000000000000000−2i32i300000000000
χ754-4-444-2-44224-4-2-40-20002-22-44002-20000000000002-2000000000000000000000000000000002i3−2i300000000000
χ764-4-44-244-4-4-4-22420-20002-22-22004-4000000000000-220000004i−4i0000000−2i2i−2i2i00000000000000000000000000
χ774-4-44-244-4-4-4-22420-20002-22-22004-4000000000000-22000000−4i4i00000002i−2i2i−2i00000000000000000000000000
χ784-4-44-24-44-4-4-22420-20002-222-200-440000000000002-200000000000000023−23−232300000000000000000000000000
χ794-4-44-24-44-4-4-22420-20002-222-200-440000000000002-2000000000000000−232323−2300000000000000000000000000
χ8088-8-8-48008-844-8-40-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-44444-4020002-2-20043−430000000000000000−23230000000000000000000000000000000000000000000
χ8288-8-8-4-400-44444-4020002-2-200−4343000000000000000023−230000000000000000000000000000000000000000000
χ838-88-88-4004-4-884-80-400044-400000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-4004-44-444020−4i34i3-2-2200000000000002i3−2i300000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-44-4440204i3−4i3-2-220000000000000−2i32i300000000000000000000000000000000000000000000000000
χ868-8-88-4-48-844-44-4402000-22-2-4400-440000000000002-2000000000000000000000000000000000000000000000
χ878-8-88-4-4-8844-44-4402000-22-24-4004-4000000000000-22000000000000000000000000000000000000000000000

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