Finite Group Databasebeta

← Group #11884021

Character table — Group #11884021

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order12223344666666234666661212121212122224666661212121212121222444446666668812126661212122266668121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1111111-1-1111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11-1-1111-1-11111-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-11-1-1111-1-11111-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-11
χ51111111111111111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1111-1-11-1-1111111-1-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-11-1-1111-1-1111111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-11-1-1111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-11111-1-111-1
χ911111111111111-11-1-1-111111-1-111111-1-111-1-1-1-1-111-1-111-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-111111-1-111-11-1
χ1011111111111111-11-1-1-111111-1-111111-1-111-1-1-1-1-111-1-111-1-11-1-1111111-1-1-1-1111-1-1-1-1111-1-11-11-1-1-1-111-1-11-11
χ1111111111111111-11-1-1-111111-1-11111-11-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1111-1-111-1-1-111
χ1211111111111111-11-1-1-111111-1-11111-11-1-1-1-1-1-11111-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1111111111-1-11-1-111-1-1111-1-1
χ1311111111111111-11-1-1-111111-1-111-1-11-1-111-1-1-1-1-111-1-1-1-111-111-1-1-1-1-1-11111111-1-1-11-1-1-111-11-11111-1-1-1-11-11
χ1411111111111111-11-1-1-111111-1-111-1-11-1-111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1-111111111-1-1-1-1-11111-11-1
χ1511111111111111-11-1-1-111111-1-111-1-1-11-1-1-1-1-1-11111-1-11111-111-1-11111-1-111-1-1-1111-1-1-1-1-1-111-111-1-111111-1-1
χ1611111111111111-11-1-1-111111-1-111-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-111111111-1-1-1111-1111-1-1-11-1-1-111-1-1-1-1-111
χ17222222-2-222222222-222222-2-2-2-2-2-2220020022-200-2-2-2-200-22-20022000000220000000000000-2-200000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-20020022-200-2-2-2-2002-2200-2-2000000-2-200000000000002200000000000
χ19222222-2-2222222-222-2-2222-2-222-2-22200-200-2-2200-2-222002-2-20022000000-2-200000000000002-200000000000
χ20222222-2-2222222-222-2-2222-2-222-2-2-2-200-200-2-2200-2-22200-22200-2-2000000220000000000000-2200000000000
χ2122222-12222-1-1-122-12-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-12222200-1-1-1-1-1-100-1-12-1-12-1-12000-1-10-1-100000000000
χ2222222-12222-1-1-122-12-1-1-1-1-1-1-1222222-2-2211-1-1-111-1-1-1-1-2-222200-1-1111100-1-1-211-211-2000110-1-100000000000
χ2322222-12222-1-1-122-12-1-1-1-1-1-1-12222-2-2222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-20011111100112-1-12-1-1-20001101100000000000
χ2422222-12222-1-1-122-12-1-1-1-1-1-1-12222-2-2-2-2211-1-1-111-1-1-1-122-2-2-20011-1-1-1-10011-211-2112000-1-101100000000000
χ2522222-12222-1-1-12-2-1-211-1-1-1-1-1-2-222222-2-2-1-111111-1-11122-2-2200-1-1-1-1-1-100112-1-1-211-20001101-100000000000
χ2622222-12222-1-1-12-2-1-211-1-1-1-1-1-2-22222-22-211111-1-1-1-111-2-2-2-2200-1-111110011-2112-1-12000-1-101-100000000000
χ2722222-12222-1-1-12-2-1-211-1-1-1-1-1-2-222-2-22-2-2-1-111111-1-111-2-222-20011111100-1-12-1-1-2112000-1-10-1100000000000
χ2822222-12222-1-1-12-2-1-211-1-1-1-1-1-2-222-2-2-22-211111-1-1-1-1112222-20011-1-1-1-100-1-1-2112-1-1-2000110-1100000000000
χ2922222-1-2-222-1-1-122-1-2-1-1-1-1-111-2-2-2-222002−i3i3-1-11−i3i3111100-22-200-1-1−i3−i3i3i300-1-10−i3i30−i3i30000−i3i301100000000000
χ3022222-1-2-222-1-1-122-1-2-1-1-1-1-111-2-2-2-222002i3−i3-1-11i3−i3111100-22-200-1-1i3i3−i3−i300-1-10i3−i30i3−i30000i3−i301100000000000
χ3122222-1-2-222-1-1-122-1-2-1-1-1-1-111-2-2-2-2-2-2002−i3i3-1-11−i3i31111002-220011i3i3−i3−i300110−i3i30−i3i30000i3−i30-1-100000000000
χ3222222-1-2-222-1-1-122-1-2-1-1-1-1-111-2-2-2-2-2-2002i3−i3-1-11i3−i31111002-220011−i3−i3i3i300110i3−i30i3−i30000−i3i30-1-100000000000
χ3322222-1-2-222-1-1-12-2-1211-1-1-11122-2-22200-2−i3i311-1i3−i311-1-1002-2-200-1-1−i3−i3i3i300110−i3i30i3−i30000i3−i30-1100000000000
χ3422222-1-2-222-1-1-12-2-1211-1-1-11122-2-22200-2i3−i311-1−i3i311-1-1002-2-200-1-1i3i3−i3−i300110i3−i30−i3i30000−i3i30-1100000000000
χ3522222-1-2-222-1-1-12-2-1211-1-1-11122-2-2-2-200-2−i3i311-1i3−i311-1-100-2220011i3i3−i3−i300-1-10−i3i30i3−i30000−i3i301-100000000000
χ3622222-1-2-222-1-1-12-2-1211-1-1-11122-2-2-2-200-2i3−i311-1−i3i311-1-100-2220011−i3−i3i3i300-1-10i3−i30−i3i30000i3−i301-100000000000
χ372222-1222-1-1222-12-1222-1-1-122-1-1-1-10022-122-1-1222-1-1-1-100000220000002200-1-1-1-1-1-102-1-100200-1-1-1-1-1-100000
χ382222-1222-1-1222-12-1222-1-1-122-1-1-1-10022-122-1-1222-1-1-1-100000-2-2000000-2-200-1-1-1-1-1-10-21100-20011111100000
χ392222-1222-1-1222-12-1222-1-1-122-1-1-1-100-2-2-1-2-2-1-12-2-2-1-1-1-10000022000000-2-20011111102-1-100-200-1-1111100000
χ402222-1222-1-1222-12-1222-1-1-122-1-1-1-100-2-2-1-2-2-1-12-2-2-1-1-1-100000-2-200000022001111110-2110020011-1-1-1-100000
χ412222-1222-1-1222-1-2-1-2-2-2-1-1-12211-1-1002-212211-2-2-2-1-11100000220000002200-1-1-11110-21100-200-1-1-1-11100000
χ422222-1222-1-1222-1-2-1-2-2-2-1-1-12211-1-1002-212211-2-2-2-1-11100000-2-2000000-2-200-1-1-111102-1-1002001111-1-100000
χ432222-1222-1-1222-1-2-1-2-2-2-1-1-12211-1-100-221-2-211-222-1-1110000022000000-2-200111-1-1-10-21100200-1-111-1-100000
χ442222-1222-1-1222-1-2-1-2-2-2-1-1-12211-1-100-221-2-211-222-1-11100000-2-20000002200111-1-1-102-1-100-20011-1-11100000
χ452-2-2222-22-2-2-22-2202000-22-22-2002-20000000000002-2002-20002-2002-22-200000000000000000002-200002-2000
χ462-2-2222-22-2-2-22-2202000-22-22-2002-20000000000002-2002-2000-22002-22-20000000000000000000-220000-22000
χ472-2-2222-22-2-2-22-2202000-22-22-2002-20000000000002-200-220002-200-22-2200000000000000000002-20000-22000
χ482-2-2222-22-2-2-22-2202000-22-22-2002-20000000000002-200-22000-2200-22-220000000000000000000-2200002-2000
χ494444-24-4-4-2-2444-24-2-444-2-2-2-4-422220000-200-2-2-40022220000000000000000000000000000000000000000000
χ504444-24-4-4-2-2444-2-4-24-4-4-2-2-2-4-4-2-22200002002240022-2-20000000000000000000000000000000000000000000
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
χ524444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-200-4-4-22211-2221111000000000000000002-1-12-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-422111-2-222-2-2004-42-2-2-1-122211-1-100000000000000000-2112-1-100000000000000000000
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
χ554444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000-2−2i32i3112−2i32i3-1-1-1-1000000000000000000i3−i30i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000-22i3−2i31122i3−2i3-1-1-1-1000000000000000000−i3i30−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-4142211122-2-22200002−2i32i3-1-1-22i3−2i3-1-111000000000000000000i3−i30−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-4142211122-2-222000022i3−2i3-1-1-2−2i32i3-1-111000000000000000000−i3i30i3−i300000000000000000000
χ5944-4-444004-44-4-4-4040004-4-400000000000000000000000000000000000−2i22i20000000000000000000−2i22i20000000
χ6044-4-444004-44-4-4-4040004-4-4000000000000000000000000000000000002i2−2i200000000000000000002i2−2i20000000
χ6144-4-4-2400-224-4-420-2000-2220023−23000000000000000023−230000000000000−2i22i20000000000000000000i2−i2i6−i600000
χ6244-4-4-2400-224-4-420-2000-2220023−23000000000000000023−2300000000000002i2−2i20000000000000000000−i2i2−i6i600000
χ6344-4-4-2400-224-4-420-2000-22200−23230000000000000000−23230000000000000−2i22i20000000000000000000i2−i2−i6i600000
χ6444-4-4-2400-224-4-420-2000-22200−23230000000000000000−232300000000000002i2−2i20000000000000000000−i2i2i6−i600000
χ654-44-44400-44-4-44-404000-4-440000004-40000000000000000000004-40000000000000000000000000000000000
χ664-44-44400-44-4-44-404000-4-44000000-44000000000000000000000-440000000000000000000000000000000000
χ674-44-44-200-4422-2-40-20−2i32i322-20000004-400000−2i32i300000000000000-22000000−2i32i300000000000000000000000000
χ684-44-44-200-4422-2-40-20−2i32i322-2000000-4400000−2i32i3000000000000002-20000002i3−2i300000000000000000000000000
χ694-44-44-200-4422-2-40-202i3−2i322-20000004-4000002i3−2i300000000000000-220000002i3−2i300000000000000000000000000
χ704-44-44-200-4422-2-40-202i3−2i322-2000000-44000002i3−2i3000000000000002-2000000−2i32i300000000000000000000000000
χ714-4-44444-4-4-4-44-4404000-44-4-4400-44000000000000-44000000000000000000000000000000000000000000000
χ724-4-444-24-4-4-42-2240-20002-222-200-440000000000002-200000000000−2i32i32i3−2i3000000000000000000000000000000
χ734-4-444-24-4-4-42-2240-20002-222-200-440000000000002-2000000000002i3−2i3−2i32i3000000000000000000000000000000
χ744-4-444-2-44-4-42-2240-20002-22-22004-4000000000000-22004-40000000-22-22000000000000000000000000000000
χ754-4-444-2-44-4-42-2240-20002-22-22004-4000000000000-2200-4400000002-22-2000000000000000000000000000000
χ764-4-44-244-422-44-4-20-20002-22-44002-20000000000002-2000000000000000000000000000−2i32i30000000000000000
χ774-4-44-244-422-44-4-20-20002-22-44002-20000000000002-20000000000000000000000000002i3−2i30000000000000000
χ784-4-44-24-4422-44-4-20-20002-224-400-22000000000000-2200000004-40000000000000000000000000-22000000000
χ794-4-44-24-4422-44-4-20-20002-224-400-22000000000000-220000000-4400000000000000000000000002-2000000000
χ8088-8-88-4008-8-444-80-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-44-4444020002-2-20043−430000000000000000−23230000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-4444020002-2-200−4343000000000000000023−230000000000000000000000000000000000000000000
χ838-88-8-48004-4-8-8840-400044-400000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-4004-444-44020−4i34i3-2-2200000000000002i3−2i300000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-444-440204i3−4i3-2-220000000000000−2i32i300000000000000000000000000000000000000000000000000
χ868-8-88-4-48-8444-44-402000-22-24-4004-4000000000000-22000000000000000000000000000000000000000000000
χ878-8-88-4-4-88444-44-402000-22-2-4400-440000000000002-2000000000000000000000000000000000000000000000

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