Finite Group Databasebeta

← Group #11897592

Character table — Group #11897592

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order1222334466666634466612121212121212124444121212121212121212121212222244466668812121212121212121212446681212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11111111-1-111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1111111-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1111111-1-11
χ51111111111111111111111111111-1-111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1111111-11111-111-1-1-11111-1-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1111111-1-111-1
χ9111111111111111-1-1111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-11-111-1-11-1111-1-1-111111-1-1-1-11-11
χ10111111111111111-1-1111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-111-1-111-1-1-1-111111-1-11111-11-1
χ11111111111111111-1-1111111-1-1-1-1111-11-1-111-1-111-1-1-1-111111-1-111111111-1-1-11-1-111-1-111-1-1-1-11-1-1-1-111111-1-1
χ12111111111111111-1-1111111-1-1-1-1111-11-1-111-1-111-1-1-1-111-1-11-1-11111-1-111-1-1-11-1-111-11-1-11-1111-1-111-1-1-1-1-111
χ13111111111111111-1-1111111-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-11111-1111111-1-1-1-1111-111-1-1-1-11111-1-1-1-1-111-1-111-11-1
χ14111111111111111-1-1111111-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-111-1-1-111111111-1-1111-111-1-1-11-1-1-1111-1-1-1-1-111-1-11-11
χ15111111111111111-1-1111111-1-1-1-11-1-1-11-1-111-1-111-1-1-1-1-1-111-111-1-1-1-111-1-111-11-1-1111-111-11-1-1-111-1-111-1-1-111
χ16111111111111111-1-1111111-1-1-1-11-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-1-11111-1-11111-11111-1-1111-1-1
χ17222222-2-222222222-2222-2-2-2-2-222-222002-20000-2-222-2-20000-22-2000000222200000000000-200-200000000000
χ18222222-2-222222222-2222-2-2-2-2-222-2-2-2002-20000-2-222-2-200002-22000000-2-2-2-200000000000200200000000000
χ19222222-2-22222222-22222-2-2-222-2-2-22200-220000-2-2-2-2220000-2-2200000022-2-200000000000200-200000000000
χ20222222-2-22222222-22222-2-2-222-2-2-2-2-200-220000-2-2-2-222000022-2000000-2-22200000000000-200200000000000
χ2122222-1222-122-1-1-122-1-1-12-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-12200222-1-1-1-100-1-1-1-122-1-1-1-120000-100-1-1-1000000000
χ2222222-1222-122-1-1-122-1-1-12-1-122-1-1222-2-22-11111-1-1-1-1-1-1-2-200222111100-1-1-1-1-2-21111-20000-100-111000000000
χ2322222-1222-122-1-1-122-1-1-12-1-122-1-12-2-2222-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2111100111122-1-1-1-1-20000100111000000000
χ2422222-1222-122-1-1-122-1-1-12-1-122-1-12-2-2-2-22-11111-1-1-1-1-1-12200-2-2-2-1-1-1-1001111-2-21111200001001-1-1000000000
χ2522222-1222-122-1-1-1-2-2-1-1-12-1-1-2-2112222-2-2111-1-1-1-11111-2-2002-2-2111100-1-1112-2-1-11120000100-1-1-1000000000
χ2622222-1222-122-1-1-1-2-2-1-1-12-1-1-2-211222-22-21-1-111-1-1111122002-2-2-1-1-1-100-1-111-2211-1-1-20000100-111000000000
χ2722222-1222-122-1-1-1-2-2-1-1-12-1-1-2-2112-2-22-2-2111-1-1-1-111112200-222-1-1-1-10011-1-12-2-1-111-20000-100111000000000
χ2822222-1222-122-1-1-1-2-2-1-1-12-1-1-2-2112-2-2-22-21-1-111-1-11111-2-200-22211110011-1-1-2211-1-120000-1001-1-1000000000
χ2922222-1-2-22-122-1-1-12-2-1-1-1-211-2-2-1-1-2220021−i3i3−i3i311-1-1110000-22-2−i3−i3i3i300-1-1-1-100−i3i3−i3i3000001001−i3i3000000000
χ3022222-1-2-22-122-1-1-12-2-1-1-1-211-2-2-1-1-2220021i3−i3i3−i311-1-1110000-22-2i3i3−i3−i300-1-1-1-100i3−i3i3−i3000001001i3−i3000000000
χ3122222-1-2-22-122-1-1-12-2-1-1-1-211-2-2-1-1-2-2-20021−i3i3−i3i311-1-11100002-22i3i3−i3−i300111100−i3i3−i3i300000-100-1i3−i3000000000
χ3222222-1-2-22-122-1-1-12-2-1-1-1-211-2-2-1-1-2-2-20021i3−i3i3−i311-1-11100002-22−i3−i3i3i300111100i3−i3i3−i300000-100-1−i3i3000000000
χ3322222-1-2-22-122-1-1-1-22-1-1-1-2112211-22200-2-1−i3i3i3−i31111-1-10000-2-22−i3−i3i3i300-1-11100i3−i3−i3i300000-1001i3−i3000000000
χ3422222-1-2-22-122-1-1-1-22-1-1-1-2112211-22200-2-1i3−i3−i3i31111-1-10000-2-22i3i3−i3−i300-1-11100−i3i3i3−i300000-1001−i3i3000000000
χ3522222-1-2-22-122-1-1-1-22-1-1-1-2112211-2-2-200-2-1−i3i3i3−i31111-1-1000022-2i3i3−i3−i30011-1-100i3−i3−i3i300000100-1−i3i3000000000
χ3622222-1-2-22-122-1-1-1-22-1-1-1-2112211-2-2-200-2-1i3−i3−i3i31111-1-1000022-2−i3−i3i3i30011-1-100−i3i3i3−i300000100-1i3−i3000000000
χ372222-1222-12-1-122-122-1-1-1-122-1-122-10022-122222-1-1-1-1-1-100220000000220000-1-1-1-1-1-102-1-120-1-1000-1-1-1-100000
χ382222-1222-12-1-122-122-1-1-1-122-1-122-10022-122222-1-1-1-1-1-100-2-20000000-2-20000-1-1-1-1-1-10-211-2011000111100000
χ392222-1222-12-1-122-122-1-1-1-122-1-122-100-2-2-12-2-2-2-2-1-1-1-1-1-100220000000-2-2000011111102-1-1-20-1-1000111100000
χ402222-1222-12-1-122-122-1-1-1-122-1-122-100-2-2-12-2-2-2-2-1-1-1-1-1-100-2-200000002200001111110-2112011000-1-1-1-100000
χ412222-1222-12-1-122-1-2-2-1-1-1-12211-2-2-1002-21-2-2-222-1-1111100220000000-2-20000-11-1-1110-2-1-12011000-1-11100000
χ422222-1222-12-1-122-1-2-2-1-1-1-12211-2-2-1002-21-2-2-222-1-1111100-2-20000000220000-11-1-1110211-20-1-100011-1-100000
χ432222-1222-12-1-122-1-2-2-1-1-1-12211-2-2-100-221-222-2-2-1-11111002200000002200001-111-1-10-2-1-1-201100011-1-100000
χ442222-1222-12-1-122-1-2-2-1-1-1-12211-2-2-100-221-222-2-2-1-1111100-2-20000000-2-200001-111-1-1021120-1-1000-1-11100000
χ4522-2-2222-222-2-2-2-22002-2-222-20000-200000000002-200002-22-20002-22-2000000000000002-2000000000002-2000
χ4622-2-2222-222-2-2-2-22002-2-222-20000-200000000002-200002-2-220002-22-200000000000000-2200000000000-22000
χ4722-2-2222-222-2-2-2-22002-2-222-20000-200000000002-20000-222-2000-22-22000000000000002-200000000000-22000
χ4822-2-2222-222-2-2-2-22002-2-222-20000-200000000002-20000-22-22000-22-2200000000000000-22000000000002-2000
χ494444-24-4-4-24-2-244-24-4-2-2-22-4-4224420000-2-4000022-2-2220000000000000000000000000000000000000000000
χ504444-24-4-4-24-2-244-2-44-2-2-22-4-4-2-2-4-4200002400002222-2-20000000000000000000000000000000000000000000
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
χ534444-2-244-2-2-2-2-2-21-4-4111-2-2-22222-2004-42222-2-211-1-1-1-100000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4111-2-2-22222-200-4422-2-22211-1-1-1-1000000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-411122222-2-220000-22−2i32i3−2i32i3-1-111-1-10000000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-411122222-2-220000-222i3−2i32i3−2i3-1-111-1-10000000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-44111222-2-222200002-2−2i32i32i3−2i3-1-1-1-1110000000000000000000−i3i3i3−i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-44111222-2-222200002-22i3−2i3−2i32i3-1-1-1-1110000000000000000000i3−i3−i3i300000000000000000000
χ5944-4-444-4444-4-4-4-44004-4-4-4-44000040000000000-4400000000000000000000000000000000000000000000000
χ6044-4-44-24-44-2-4-422-200-2224-220000-40000000000-2200004-400000-22-2200000000000000000000000000000000
χ6144-4-44-24-44-2-4-422-200-2224-220000-40000000000-220000-44000002-22-200000000000000000000000000000000
χ6244-4-44-2-444-2-4-422-200-222-42-20000400000000002-200000000000−2i32i32i3−2i300000000000000000000000000000000
χ6344-4-44-2-444-2-4-422-200-222-42-20000400000000002-2000000000002i3−2i3−2i32i300000000000000000000000000000000
χ6444-4-4-244-4-2422-4-4-200-222-24-4000020000000000-220000004-4000000000000000000000-220000000000000000
χ6544-4-4-244-4-2422-4-4-200-222-24-4000020000000000-22000000-440000000000000000000002-20000000000000000
χ6644-4-4-24-44-2422-4-4-200-2222-440000-200000000002-200000000000000000000000000000000023−23000000000000
χ6744-4-4-24-44-2422-4-4-200-2222-440000-200000000002-2000000000000000000000000000000000−2323000000000000
χ684-44-44400-4-44-4-44400-44-400000000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000
χ694-44-44400-4-44-4-44400-44-4000000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000
χ704-44-4-24002-4-22-44-2002-2200023−230000000000000000023−2300000000000−2i22i2000000000000000000000i6−i6i2−i200000
χ714-44-4-24002-4-22-44-2002-2200023−230000000000000000023−23000000000002i2−2i2000000000000000000000−i6i6−i2i200000
χ724-44-4-24002-4-22-44-2002-22000−232300000000000000000−232300000000000−2i22i2000000000000000000000−i6i6i2−i200000
χ734-44-4-24002-4-22-44-2002-22000−232300000000000000000−2323000000000002i2−2i2000000000000000000000i6−i6−i2i200000
χ744-4-444400-4-4-444-4400-4-44000000004-40000000000000000000000000004-40000000000000000000000000000
χ754-4-444400-4-4-444-4400-4-4400000000-44000000000000000000000000000-440000000000000000000000000000
χ764-4-444-200-42-44-22-20022-20000023−2304-4000000000023−23000000000000000-2223−2300000000000000000000000000
χ774-4-444-200-42-44-22-20022-20000023−230-44000000000023−230000000000000002-2−232300000000000000000000000000
χ784-4-444-200-42-44-22-20022-200000−232304-40000000000−2323000000000000000-22−232300000000000000000000000000
χ794-4-444-200-42-44-22-20022-200000−23230-440000000000−23230000000000000002-223−2300000000000000000000000000
χ8088-8-8-4-48-8-4-444442002-2-2-4-440000400000000002-200000000000000000000000000000000000000000000000
χ8188-8-8-4-4-88-4-444442002-2-244-40000-40000000000-2200000000000000000000000000000000000000000000000
χ828-88-88-400-848-84-4-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-40044-444-4200-22-200043−4300000000000000000−23230000000000000000000000000000000000000000000
χ848-88-8-4-40044-444-4200-22-2000−43430000000000000000023−230000000000000000000000000000000000000000000
χ858-8-88-48004-84-48-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-4-44200-2-220000043−430000000000000−2323000000000000000000000000000000000000000000000
χ878-8-88-4-400444-4-44200-2-2200000−4343000000000000023−23000000000000000000000000000000000000000000000

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