Finite Group Databasebeta

← Group #11884152

Character table — Group #11884152

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order1222334466666634466612121212121212122244121212121212121212121212222444466668812121212121212121212446681212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-111111111-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-111-1-1-1-11111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-11
χ51111111111111111111111111111-1-111111111111111-111-1-1-1-1-1-1-1-111-1-1-1-1111111-11111-1-111-1-11111-1-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-111-1-1-1-1111111-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-11111-1-1-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11-1-1-1111-1-1-1-11111-1-111-1
χ9111111111111111-1-1111-1-11-1-1111111-1-1-111-1-1-1-1-1-111-1111-11111-1-11111111-111-1-1-1-111-1-1-1-1-11-111-1-1111-1-1
χ10111111111111111-1-1111-1-11-1-1111111-1-1-111-1-1-1-1-1-111-1-1-11-11111-1-1-1-111111-111-1-1-11-1-11-1-1111-1-1-111-1-1-111
χ11111111111111111-1-1111-1-11-1-111111-11-1-1-1-111-1-1-1-111-1111-1-1-111-1-1-1-1-1-1-1-1-11-1-1111-111111-1-11-1-1-111-1-11-11
χ12111111111111111-1-1111-1-11-1-111111-11-1-1-1-111-1-1-1-111-1-1-11-1-1-111-1-111-1-1-1-1-11-1-11111-1-1-111111-111-1-111-11-1
χ13111111111111111-1-1111-1-11-1-1111-1-11-1-1-111-1-1-1-1-1-111111-11-1-1-1-11111-1-1-1-11-111-1-11-111-111-1-1-1111-1-1-1-1-111
χ14111111111111111-1-1111-1-11-1-1111-1-11-1-1-111-1-1-1-1-1-1111-1-1-11-1-1-1-111-1-1-1-1-1-11-111-1-111-1-111111-11-1-111111-1-1
χ15111111111111111-1-1111-1-11-1-1111-1-1-11-1-1-1-111-1-1-1-111111-1111-1-111-1-11111-11-1-111-1-1111-1-1-1-1-11-1-11111-11-1
χ16111111111111111-1-1111-1-11-1-1111-1-1-11-1-1-1-111-1-1-1-1111-1-1-1111-1-111111111-11-1-111-11-1-1-1-1-111-1111-1-1-1-11-11
χ17222222-2-222222222-222222-2-2-2-2-2-222002-2000022-2-2-2-2200-2-2002222000000000000000000000-2-2000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-2002-2000022-2-2-2-2-2002200-2-2-2-200000000000000000000022000000000
χ19222222-2-22222222-22222-2-2-222-2-2-22200-220000-2-222-2-2-200-220022-2-2000000000000000000000-22000000000
χ20222222-2-22222222-22222-2-2-222-2-2-2-2-200-220000-2-222-2-22002-200-2-2220000000000000000000002-2000000000
χ2122222-1222-122-1-1-122-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-12002222-1-1-1-100-1-1-1-122-1-1-1-120000-1-100-1-1000000000
χ2222222-1222-122-1-1-122-1-1-1-1-1222-1-1222-2-22-11111-1-1-1-1-1-120022-2-2-1-1-1-1001111-2-21111-200001100-1-1000000000
χ2322222-1222-122-1-1-122-1-1-1-1-1222-1-12-2-2222-1-1-1-1-1-1-1-1-1-1-1-200-2-2-2-2111100111122-1-1-1-1-20000110011000000000
χ2422222-1222-122-1-1-122-1-1-1-1-1222-1-12-2-2-2-22-11111-1-1-1-1-1-1-200-2-222111100-1-1-1-1-2-2111120000-1-10011000000000
χ2522222-1222-122-1-1-1-2-2-1-1-1112-2-2-1-12222-2-21-1-1111111-1-1-2002-222-1-11100-1-1-1-12-2-1-111-200001100-11000000000
χ2622222-1222-122-1-1-1-2-2-1-1-1112-2-2-1-1222-22-2111-1-11111-1-1-2002-2-2-2-1-111001111-2211-1-120000-1-100-11000000000
χ2722222-1222-122-1-1-1-2-2-1-1-1112-2-2-1-12-2-22-2-21-1-1111111-1-1200-22-2-211-1-10011112-2-1-11120000-1-1001-1000000000
χ2822222-1222-122-1-1-1-2-2-1-1-1112-2-2-1-12-2-2-22-2111-1-11111-1-1200-222211-1-100-1-1-1-1-2211-1-1-2000011001-1000000000
χ2922222-1-2-22-122-1-1-12-2-1-1-1-1-1-2-2-211-2220021−i3i3−i3i3-1-11111200-2-200-1-1-1-100−i3−i3i3i300−i3i3−i3i300000−i3i30011000000000
χ3022222-1-2-22-122-1-1-12-2-1-1-1-1-1-2-2-211-2220021i3−i3i3−i3-1-11111200-2-200-1-1-1-100i3i3−i3−i300i3−i3i3−i300000i3−i30011000000000
χ3122222-1-2-22-122-1-1-12-2-1-1-1-1-1-2-2-211-2-2-20021−i3i3−i3i3-1-11111-2002200111100i3i3−i3−i300−i3i3−i3i300000i3−i300-1-1000000000
χ3222222-1-2-22-122-1-1-12-2-1-1-1-1-1-2-2-211-2-2-20021i3−i3i3−i3-1-11111-2002200111100−i3−i3i3i300i3−i3i3−i300000−i3i300-1-1000000000
χ3322222-1-2-22-122-1-1-1-22-1-1-111-22211-22200-2-1−i3i3i3−i311-1-111-200-2200-1-11100−i3−i3i3i300−i3i3i3−i300000i3−i3001-1000000000
χ3422222-1-2-22-122-1-1-1-22-1-1-111-22211-22200-2-1i3−i3−i3i311-1-111-200-2200-1-11100i3i3−i3−i300i3−i3−i3i300000−i3i3001-1000000000
χ3522222-1-2-22-122-1-1-1-22-1-1-111-22211-2-2-200-2-1−i3i3i3−i311-1-1112002-20011-1-100i3i3−i3−i300−i3i3i3−i300000−i3i300-11000000000
χ3622222-1-2-22-122-1-1-1-22-1-1-111-22211-2-2-200-2-1i3−i3−i3i311-1-1112002-20011-1-100−i3−i3i3i300i3−i3−i3i300000i3−i300-11000000000
χ372222-1222-12-1-122-122-1-1-122-1-1-122-10022-122222-1-1-1-1-1-102200000000220000-1-1-1-1-1-102-1-1200-1-100-1-1-1-100000
χ382222-1222-12-1-122-122-1-1-122-1-1-122-10022-122222-1-1-1-1-1-10-2-200000000-2-20000-1-1-1-1-1-10-211-2001100111100000
χ392222-1222-12-1-122-122-1-1-122-1-1-122-100-2-2-12-2-2-2-2-1-1-1-1-1-102200000000-2-2000011111102-1-1-200-1-100111100000
χ402222-1222-12-1-122-122-1-1-122-1-1-122-100-2-2-12-2-2-2-2-1-1-1-1-1-10-2-2000000002200001111110-2112001100-1-1-1-100000
χ412222-1222-12-1-122-1-2-2-1-1-1-2-2-11122-1002-21-222-2-21111-1-102200000000220000-11-1-1110-2-1-1-2001100-1-11100000
χ422222-1222-12-1-122-1-2-2-1-1-1-2-2-11122-1002-21-222-2-21111-1-10-2-200000000-2-20000-11-1-1110211200-1-10011-1-100000
χ432222-1222-12-1-122-1-2-2-1-1-1-2-2-11122-100-221-2-2-2221111-1-102200000000-2-200001-111-1-10-2-1-1200110011-1-100000
χ442222-1222-12-1-122-1-2-2-1-1-1-2-2-11122-100-221-2-2-2221111-1-10-2-2000000002200001-111-1-10211-200-1-100-1-11100000
χ452-2-2222-22-2-22-2-22200-2-2200-2002-22000000000000002-202-2002-20000002-22-2000000002-2000000000002-2000
χ462-2-2222-22-2-22-2-22200-2-2200-2002-22000000000000002-202-200-22000000-22-22000000002-200000000000-22000
χ472-2-2222-22-2-22-2-22200-2-2200-2002-22000000000000002-20-22002-20000002-22-200000000-2200000000000-22000
χ482-2-2222-22-2-22-2-22200-2-2200-2002-22000000000000002-20-2200-22000000-22-2200000000-22000000000002-2000
χ494444-24-4-4-24-2-244-24-4-2-2-244222-4-420000-2-40000-2-222220000000000000000000000000000000000000000000
χ504444-24-4-4-24-2-244-2-44-2-2-2-4-42-2-2-4-42000024000022-2-2220000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-20044-2-2-2-2-2-211111100000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-200-4-4-2-222221111110000000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-411122-222-2-2-2004-422-2-222-1-1-1-11100000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-411122-222-2-2-200-442222-2-2-1-1-1-111000000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-4111-2-22222220000-22−2i32i3−2i32i311-1-1-1-10000000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-4111-2-22222220000-222i3−2i32i3−2i311-1-1-1-10000000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-44111222-2-222200002-2−2i32i32i3−2i3-1-111-1-10000000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-44111222-2-222200002-22i3−2i3−2i32i3-1-111-1-10000000000000000000−i3i3i3−i300000000000000000000
χ5944-4-4440044-4-4-4-44004-4-4000000004-40000000000000000000004-40000000000000000000000000000000000
χ6044-4-4440044-4-4-4-44004-4-400000000-44000000000000000000000-440000000000000000000000000000000000
χ6144-4-44-2004-2-4-422-200-222−2i32i30000004-400000000−2i32i300000000000-22−2i32i300000000000000000000000000000000
χ6244-4-44-2004-2-4-422-200-222−2i32i3000000-4400000000−2i32i3000000000002-22i3−2i300000000000000000000000000000000
χ6344-4-44-2004-2-4-422-200-2222i3−2i30000004-4000000002i3−2i300000000000-222i3−2i300000000000000000000000000000000
χ6444-4-44-2004-2-4-422-200-2222i3−2i3000000-44000000002i3−2i3000000000002-2−2i32i300000000000000000000000000000000
χ654-44-44400-4-4-444-4400-44-400000000000000000000000000000000000−2i22i2000000000000000000000−2i22i20000000
χ664-44-44400-4-4-444-4400-44-4000000000000000000000000000000000002i2−2i20000000000000000000002i2−2i20000000
χ674-44-4-24002-42-24-4-2002-22000−2i32i3000000000000000−2i32i30000000000000−2i22i2000000000000000000000i2−i26−600000
χ684-44-4-24002-42-24-4-2002-22000−2i32i3000000000000000−2i32i300000000000002i2−2i2000000000000000000000−i2i2−6600000
χ694-44-4-24002-42-24-4-2002-220002i3−2i30000000000000002i3−2i30000000000000−2i22i2000000000000000000000i2−i2−6600000
χ704-44-4-24002-42-24-4-2002-220002i3−2i30000000000000002i3−2i300000000000002i2−2i2000000000000000000000−i2i26−600000
χ714-4-44444-4-4-44-4-44400-4-4400400-44-400000000000000-440000000000000000000000000000000000000000000
χ724-4-444-24-4-424-42-2-20022-2004002-2-4000000000000002-20000000000000−2i32i32i3−2i300000000000000000000000000
χ734-4-444-24-4-424-42-2-20022-2004002-2-4000000000000002-200000000000002i3−2i3−2i32i300000000000000000000000000
χ744-4-444-2-44-424-42-2-20022-200-400-22400000000000000-22000004-4000000-22-2200000000000000000000000000
χ754-4-444-2-44-424-42-2-20022-200-400-22400000000000000-2200000-440000002-22-200000000000000000000000000
χ764-4-44-244-42-4-22-44-20022-200-200-442000000000000002-200000000000000000000000000000023−2300000000000
χ774-4-44-244-42-4-22-44-20022-200-200-442000000000000002-2000000000000000000000000000000−232300000000000
χ784-4-44-24-442-4-22-44-20022-2002004-4-200000000000000-2204-40000000000000000000000-220000000000000000
χ794-4-44-24-442-4-22-44-20022-2002004-4-200000000000000-220-4400000000000000000000002-20000000000000000
χ8088-8-8-4800-4844-8-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444442002-2-2−4i34i300000000000000002i3−2i300000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444442002-2-24i3−4i30000000000000000−2i32i300000000000000000000000000000000000000000000000
χ838-88-88-400-84-88-44-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400444-4-44200-22-2000−4i34i30000000000000002i3−2i3000000000000000000000000000000000000000000000
χ858-88-8-4-400444-4-44200-22-20004i3−4i3000000000000000−2i32i3000000000000000000000000000000000000000000000
χ868-8-88-4-48-844-444-4200-2-2200-4004-4400000000000000-220000000000000000000000000000000000000000000
χ878-8-88-4-4-8844-444-4200-2-2200400-44-4000000000000002-20000000000000000000000000000000000000000000

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