Finite Group Databasebeta

← Group #11897568

Character table — Group #11897568

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444888888888888881212121212121212121212121212121216161616161624242424242424242424242424242424363636367272
order1222334444666666346661212121212121212441212121212121212121212122222444466661212121212121212121244668812121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-111111-1-111-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ9111111-1-1111111111-1111111-1-1-1-111-1-1-111-1-111-1-1-1-111111-11-1111111-1-11-111-1-1-1-1111-11-1-1-1-1-111-1-111-1-11-1
χ10111111-1-1111111111-1111111-1-1-1-111-1-1-111-1-111-1-1-1-111-1-11-11-1111111-1-11-111-1-1-11-1-1-111-111-1-1-1-111-1-111-11
χ11111111-1-1111111111-1111111-1-1-1-111-1-1-111-1-111-1-1-1-1-1-111-11-11-1-1-1-1-1-1111-111-1-11-1111-1-11-1-11111-1-1-1-111-11
χ12111111-1-1111111111-1111111-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1111-111-1-111-1-1-11-111111-1-11111-1-11-1
χ13111111-1-1111111111-1111111-1-1-1-11-11-1-1-1-11111-1-1-1-11111-11-111111-1-111-11-1-111-1-111-11-11-1-1-1-1-1-11111-1-1-11
χ14111111-1-1111111111-1111111-1-1-1-11-11-1-1-1-11111-1-1-1-111-1-1-11-111111-1-111-11-1-111-11-1-11-1-1111-1-111-1-1-1-1111-1
χ15111111-1-1111111111-1111111-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-1111-11-1-1-1-1-111-1-1-11-1-1111-111-111-1-1-111-1-111-1-1111-1
χ16111111-1-1111111111-1111111-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-11-1-11111-1-11-11-1111111-1-111-1-1-11
χ1722222222-2-22222222-2222-2-2-22222-200-2-20000-2-2-2-222000022-2-200002222000000000000-2-200000000000000
χ1822222222-2-22222222-2222-2-2-22222-200-2-20000-2-2-2-2220000-2-2220000-2-2-2-20000000000002200000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-200220000-2-222-2-200002-2-22000022-2-2000000000000-2200000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-200220000-2-222-2-20000-222-20000-2-2220000000000002-200000000000000
χ2122222-1222222-1-12-1-12-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-122002222-1-1-1-1-1-1-1-122-1-1-1-1200000-1-100-1-10000000000
χ2222222-1222222-1-12-1-12-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-21111111122-1-1-1-1-2000001100110000000000
χ2322222-1222222-1-12-1-12-1-1-12-1-122-1-12-2-22-11111-1-1-1-1-1-12200-2-2-2-2-1-1-1-11111-2-211112000001100-1-10000000000
χ2422222-1222222-1-12-1-12-1-1-12-1-122-1-12-2-22-11111-1-1-1-1-1-1-2-20022221111-1-1-1-1-2-21111-200000-1-100110000000000
χ2522222-122-2-222-1-12-1-1-2-1-1-1-21122-1-1-200-21−i3i3−i3i31111-1-1000022-2-2−i3−i3i3i3-1-1-1-100−i3i3−i3i30000001100−i3i30000000000
χ2622222-122-2-222-1-12-1-1-2-1-1-1-21122-1-1-200-21−i3i3−i3i31111-1-10000-2-222i3i3−i3−i3111100−i3i3−i3i3000000-1-100i3−i30000000000
χ2722222-122-2-222-1-12-1-1-2-1-1-1-21122-1-1-200-21i3−i3i3−i31111-1-1000022-2-2i3i3−i3−i3-1-1-1-100i3−i3i3−i30000001100i3−i30000000000
χ2822222-122-2-222-1-12-1-1-2-1-1-1-21122-1-1-200-21i3−i3i3−i31111-1-10000-2-222−i3−i3i3i3111100i3−i3i3−i3000000-1-100−i3i30000000000
χ2922222-1-2-22222-1-12-1-1-2-1-1-12-1-1-2-21122-2-21-1-111-1-1111122002-22-2-1-1-1-1-1-1112-2-1-111-200000-1100110000000000
χ3022222-1-2-22222-1-12-1-1-2-1-1-12-1-1-2-21122-2-21-1-111-1-11111-2-200-22-22111111-1-12-2-1-1112000001-100-1-10000000000
χ3122222-1-2-22222-1-12-1-1-2-1-1-12-1-1-2-2112-22-2111-1-1-1-111112200-22-22-1-1-1-111-1-1-2211-1-1-2000001-100110000000000
χ3222222-1-2-22222-1-12-1-1-2-1-1-12-1-1-2-2112-22-2111-1-1-1-11111-2-2002-22-21111-1-111-2211-1-1200000-1100-1-10000000000
χ3322222-1-2-2-2-222-1-12-1-12-1-1-1-211-2-211-2002-1−i3i3i3−i311-1-11100002-2-22−i3−i3i3i3-1-11100−i3i3i3−i30000001-100i3−i30000000000
χ3422222-1-2-2-2-222-1-12-1-12-1-1-1-211-2-211-2002-1−i3i3i3−i311-1-1110000-222-2i3i3−i3−i311-1-100−i3i3i3−i3000000-1100−i3i30000000000
χ3522222-1-2-2-2-222-1-12-1-12-1-1-1-211-2-211-2002-1i3−i3−i3i311-1-11100002-2-22i3i3−i3−i3-1-11100i3−i3−i3i30000001-100−i3i30000000000
χ3622222-1-2-2-2-222-1-12-1-12-1-1-1-211-2-211-2002-1i3−i3−i3i311-1-1110000-222-2−i3−i3i3i311-1-100i3−i3−i3i3000000-1100i3−i30000000000
χ372222-122222-1-122-12-12-1-1-1-122-1-122-122-122222-1-1-1-1-1-10022000000000000-1-1-1-1-1-102-1-12200-1-100-1-1-1-1000000
χ382222-122222-1-122-12-12-1-1-1-122-1-122-122-122222-1-1-1-1-1-100-2-2000000000000-1-1-1-1-1-10-211-2-20011001111000000
χ392222-122222-1-122-12-12-1-1-1-122-1-122-1-2-2-12-2-2-2-2-1-1-1-1-1-1002200000000000011111102-1-1-2-200-1-1001111000000
χ402222-122222-1-122-12-12-1-1-1-122-1-122-1-2-2-12-2-2-2-2-1-1-1-1-1-100-2-20000000000001111110-21122001100-1-1-1-1000000
χ412222-12-2-222-1-122-12-1-2-1-1-1-12211-2-2-12-21-222-2-2-1-111110022000000000000-11-1-1110-2-1-12-2001100-1-111000000
χ422222-12-2-222-1-122-12-1-2-1-1-1-12211-2-2-12-21-222-2-2-1-1111100-2-2000000000000-11-1-1110211-2200-1-10011-1-1000000
χ432222-12-2-222-1-122-12-1-2-1-1-1-12211-2-2-1-221-2-2-222-1-1111100220000000000001-111-1-10-2-1-1-2200110011-1-1000000
χ442222-12-2-222-1-122-12-1-2-1-1-1-12211-2-2-1-221-2-2-222-1-1111100-2-20000000000001-111-1-102112-200-1-100-1-111000000
χ4522-2-222002-22-22-2-2-2202-2-222-20000-2000000002-200002-22-200002-22-20000000000002-20000000000002-20000
χ4622-2-222002-22-22-2-2-2202-2-222-20000-2000000002-200002-2-2200002-22-2000000000000-22000000000000-220000
χ4722-2-222002-22-22-2-2-2202-2-222-20000-2000000002-20000-222-20000-22-220000000000002-2000000000000-220000
χ4822-2-222002-22-22-2-2-2202-2-222-20000-2000000002-20000-22-220000-22-22000000000000-220000000000002-20000
χ494444-2444-4-4-2-244-24-2-4-2-2-22-4-4-2-2442002-400002222-2-200000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-2-244-24-24-2-2-22-4-422-4-4200-24000022-2-22200000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-2-2-2-2-21111110000000000000000-2-211110000000000000000000000
χ524444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-22222111111000000000000000022-1-1-1-10000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-220022−2i32i3−2i32i3-1-1-1-111000000000000000000i3−i3i3−i30000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-2200222i3−2i32i3−2i3-1-1-1-111000000000000000000−i3i3−i3i30000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-24-422-2-22211-1-1-1-10000000000000000-2211-1-10000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-2-442222-2-211-1-1-1-100000000000000002-2-1-1110000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2−2i32i32i3−2i3-1-111-1-1000000000000000000i3−i3−i3i30000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-22i3−2i3−2i32i3-1-111-1-1000000000000000000−i3i3i3−i30000000000000000000000
χ5944-4-44400-444-44-4-4-4404-4-4-4-440000400000000-44000000000000000000000000000000000000000000000000
χ6044-4-44-2004-44-4-22-42-20-2224-220000-400000000-2200004-4000000-22-2200000000000000000000000000000000
χ6144-4-44-2004-44-4-22-42-20-2224-220000-400000000-220000-440000002-22-200000000000000000000000000000000
χ6244-4-44-200-444-4-22-42-20-222-42-200004000000002-2000000000000−2i32i32i3−2i300000000000000000000000000000000
χ6344-4-44-200-444-4-22-42-20-222-42-200004000000002-20000000000002i3−2i3−2i32i300000000000000000000000000000000
χ6444-4-4-24004-4-224-42-4-20-222-24-40000200000000-220000004-400000000000000000000-22000000000000000000
χ6544-4-4-24004-4-224-42-4-20-222-24-40000200000000-22000000-44000000000000000000002-2000000000000000000
χ6644-4-4-2400-44-224-42-4-20-2222-440000-2000000002-2000000000000000000000000000000000023−23000000000000
χ6744-4-4-2400-44-224-42-4-20-2222-440000-2000000002-20000000000000000000000000000000000−2323000000000000
χ684-44-4444-400-4-4-4-44440-4-440004-44-400000000000004-400000000000000000000000000000000000000000000
χ694-44-444-4400-4-4-4-44440-4-44000-44-440000000000000-4400000000000000000000000000000000000000000000
χ704-44-44-24-400-4-4224-2-2022-20004-4-220000000000000-22000000000000−2i32i3−2i32i30000000000000000000000000000
χ714-44-44-24-400-4-4224-2-2022-20004-4-220000000000000-220000000000002i3−2i32i3−2i30000000000000000000000000000
χ724-44-44-2-4400-4-4224-2-2022-2000-442-200000000000002-2000000000000−2i32i32i3−2i30000000000000000000000000000
χ734-44-44-2-4400-4-4224-2-2022-2000-442-200000000000002-20000000000002i3−2i3−2i32i30000000000000000000000000000
χ744-44-4-244-40022-4-4-24-2022-2000-224-40000000000000-220000000000000000000000000000000000i6−i6i6−i6000000
χ754-44-4-244-40022-4-4-24-2022-2000-224-40000000000000-220000000000000000000000000000000000−i6i6−i6i6000000
χ764-44-4-24-440022-4-4-24-2022-20002-2-4400000000000002-20000000000000000000000000000000000i6−i6−i6i6000000
χ774-44-4-24-440022-4-4-24-2022-20002-2-4400000000000002-20000000000000000000000000000000000−i6i6i6−i6000000
χ784-4-44440000-44-44-4-440-44-400000000000000000000000000000000000000000000000000000000000000−2i22i200
χ794-4-44440000-44-44-4-440-44-4000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ8088-8-8-4-4008-8-44-4444202-2-2-4-4400004000000002-2000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-88-44-4444202-2-244-40000-400000000-22000000000000000000000000000000000000000000000000
χ828-88-8-4-48-8004444-4-420-2-22000-44-4400000000000002-200000000000000000000000000000000000000000000
χ838-88-8-4-4-88004444-4-420-2-220004-44-40000000000000-2200000000000000000000000000000000000000000000
χ848-8-888-40000-884-4-84-404-44000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800004-4-884-8-404-44000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400004-44-44420-22-20000000000000000006-60000000000000000000000000000000000000000000000
χ878-8-88-4-400004-44-44420-22-2000000000000000000-660000000000000000000000000000000000000000000000

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