Finite Group Databasebeta

← Group #11883967

Character table — Group #11883967

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order12223344666666222346666666666666661212121212122226666666666666612121212124444466881212224666681212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111-11-1-111-111-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-1-1-111-1-111-1-1-11-111-1-11-1-111-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111111-11-1-1-11111-1-111-1-1-1-11111-1-1111-111-1-1-1-11111-1-1-1-1-111-1-1-1-11111111-1-11-1-1-1-111-1-1111-1-111-1-111-11-1
χ61111111111111111-11-1-1-11111-1-111-1-1-1-11111-1-1111-111-1-1-1-11111-1-1-1-1-111-1-1-1-11-1-111-1-1-1-111-111111-11-1-1-1-1-1-111-1-11-11
χ71111111111111111-11-1-1-11111-1-111-1-1-1-11111-1-11-1-1-111-1-1-1-11111-1-1-1-1-111-1-111-111-1-11111-1-11-1-1-1-1-11-1111111-1-1-1-11-11
χ81111111111111111-11-1-1-11111-1-111-1-1-1-11111-1-11-1-1-111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-1-111-11111-1-111-1-1-111-1-11111-11-1
χ911111111111111-1-111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-11-111-1-1-11111-1-1-1-1-1-1-1-111-1
χ1011111111111111-1-111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1111-1-1-1-1111111-1-11
χ1111111111111111-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-11111111-1-1-11111-1-1-1-111-1-11
χ1211111111111111-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-11-11-1-1111-1-1-1-1111111-1-111-1
χ1311111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-111-1-1-1-111111-1-1-1-1-1-11-1-1-1-11-111111-1-111-1-1-111
χ1411111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-111-1-1-1-11-1-11111-1-1-11111-1-1-1-11-1-11111-1-1111-1-1
χ1511111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-11-1-11111-1-1-1-11111-111-1-111-111-1-1-1-1111-1-1-1-11111-111-1-1-1-111111-1-1
χ1611111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-11-1-11111-1-1-1-11111-111-1-111-1-1-1-1-1111111-11111-11-1-1-1-1-111-1-1-1-1-111
χ17222222-2-22222220022-2220000222222222-2-2-2-2-2-222000000000000000-2-2-2-2-2-22-20022002200000000-2-20000000000000
χ18222222-2-22222220022-2220000222222222-2-2-2-2-2-2-2-2000000000000000-2-2-2-2-22-2200-2-200-2-200000000220000000000000
χ19222222-2-222222200-222-2-20000-2-222-2-2-2-22-2-2-222-2220000000000000002-2-2222-2-2002200-2-2000000002-20000000000000
χ20222222-2-222222200-222-2-20000-2-222-2-2-2-22-2-2-222-2-2-20000000000000002-2-222-22200-2-2002200000000-220000000000000
χ2122222-12222-1-12-1222-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-100-1-120200-1-10-1-100-1-1000000000
χ2222222-12222-1-12-1222-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200110011-20-200110110011000000000
χ2322222-12222-1-12-122-2-1-2-2-2-1-1-1-111-1-11111-1-1-12-2-2222-222-2-211-1-1-1-111111-1-111-2-2200-1-1001120-200-1-101-10011000000000
χ2422222-12222-1-12-122-2-1-2-2-2-1-1-1-111-1-11111-1-1-12-2-22-2-2-222-2-211-1-1-1-111111-1-11122-2001100-1-1-20200110-1100-1-1000000000
χ2522222-12222-1-12-1-2-22-12221111-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-21111111111-1-1-1-1-122200-1-100-1-1-20-200110-1-10011000000000
χ2622222-12222-1-12-1-2-22-12221111-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-21111111111-1-1-1-1-1-2-2-20011001120200-1-101100-1-1000000000
χ2722222-12222-1-12-1-2-2-2-1-2-2-2111111-1-11111-1-1-12-2-22222-2-222-1-11111-1-1-1-11-1-111-2-2200-1-10011-202001101-100-1-1000000000
χ2822222-12222-1-12-1-2-2-2-1-2-2-2111111-1-11111-1-1-12-2-22-2-22-2-222-1-11111-1-1-1-11-1-11122-2001100-1-120-200-1-10-110011000000000
χ2922222-1-2-222-1-12-1002-1-222−i3−i3i3i3-1-1-1-1-1-1-1-1-111-2-2-2-22200000−i3i3−i3−i3i3i3−i3−i3i3i311111-22-200-1-100-1-100000−i3i301100−i3i3000000000
χ3022222-1-2-222-1-12-1002-1-222−i3−i3i3i3-1-1-1-1-1-1-1-1-111-2-2-2-2-2-200000−i3i3−i3−i3i3i3−i3−i3i3i3111112-220011001100000i3−i30-1-100i3−i3000000000
χ3122222-1-2-222-1-12-1002-1-222i3i3−i3−i3-1-1-1-1-1-1-1-1-111-2-2-2-22200000i3−i3i3i3−i3−i3i3i3−i3−i311111-22-200-1-100-1-100000i3−i301100i3−i3000000000
χ3222222-1-2-222-1-12-1002-1-222i3i3−i3−i3-1-1-1-1-1-1-1-1-111-2-2-2-2-2-200000i3−i3i3i3−i3−i3i3i3−i3−i3111112-220011001100000−i3i30-1-100−i3i3000000000
χ3322222-1-2-222-1-12-100-2-12-2-2−i3−i3i3i311-1-11111-111-222-22200000i3−i3−i3−i3i3i3i3i3−i3−i3-111-1-12-2-200-1-1001100000−i3i30-1100i3−i3000000000
χ3422222-1-2-222-1-12-100-2-12-2-2−i3−i3i3i311-1-11111-111-222-2-2-200000i3−i3−i3−i3i3i3i3i3−i3−i3-111-1-1-222001100-1-100000i3−i301-100−i3i3000000000
χ3522222-1-2-222-1-12-100-2-12-2-2i3i3−i3−i311-1-11111-111-222-22200000−i3i3i3i3−i3−i3−i3−i3i3i3-111-1-12-2-200-1-1001100000i3−i30-1100−i3i3000000000
χ3622222-1-2-222-1-12-100-2-12-2-2i3i3−i3−i311-1-11111-111-222-2-2-200000−i3i3i3i3−i3−i3−i3−i3i3i3-111-1-1-222001100-1-100000−i3i301-100i3−i3000000000
χ372222-1222-1-122-12222-12-1-1222222-1-1-1-1-1-1-122-1-1-1-1002-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-100022002200020-1-100200-1-100-1-1-1-100000
χ382222-1222-1-122-12222-12-1-1222222-1-1-1-1-1-1-122-1-1-1-1002-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1000-2-200-2-2000-201100-2001100111100000
χ392222-1222-1-122-1222-2-1-2112222-2-2-1-11111-122-111-100-2-1-111-2-2-1-1-1-11111-2-1-111000220022000-201100-200-1-100-1-11100000
χ402222-1222-1-122-1222-2-1-2112222-2-2-1-11111-122-111-100-2-1-111-2-2-1-1-1-11111-2-1-111000-2-200-2-200020-1-100200110011-1-100000
χ412222-1222-1-122-12-2-22-12-1-1-2-2-2-222-1-1-1-1-1-1-122-1-1-1-100-21111-2-2111111112-1-1-1-10002200-2-200020-1-100-200-1-100111100000
χ422222-1222-1-122-12-2-22-12-1-1-2-2-2-222-1-1-1-1-1-1-122-1-1-1-100-21111-2-2111111112-1-1-1-1000-2-20022000-2011002001100-1-1-1-100000
χ432222-1222-1-122-12-2-2-2-1-211-2-2-2-2-2-2-1-11111-122-111-100211-1-1221111-1-1-1-1-2-1-1110002200-2-2000-201100200-1-10011-1-100000
χ442222-1222-1-122-12-2-2-2-1-211-2-2-2-2-2-2-1-11111-122-111-100211-1-1221111-1-1-1-1-2-1-111000-2-2002200020-1-100-2001100-1-11100000
χ452-2-2222-22-2-2-222-22-2020002-22-200-2-2000022-2-20020002-200002-22-2000002-2000002-2002-20000000000002-2002-20000000
χ462-2-2222-22-2-2-222-22-2020002-22-200-2-2000022-2-20020002-200002-22-2000002-200000-2200-22000000000000-2200-220000000
χ472-2-2222-22-2-2-222-2-2202000-22-2200-2-2000022-2-2002000-220000-22-22000002-2000002-200-220000000000002-200-220000000
χ482-2-2222-22-2-2-222-2-2202000-22-2200-2-2000022-2-2002000-220000-22-22000002-200000-22002-2000000000000-22002-20000000
χ492-2-22-12-2211-22-1-22-20-10−i3i32-22-20011−i3−i3i3i3-12-21−i3i3-1000-11−i3i300-11-11−i3i3−i3i30-11−i3i30002-2002-200000−i3i300000-1100-11−i3i300000
χ502-2-22-12-2211-22-1-22-20-10−i3i32-22-20011−i3−i3i3i3-12-21−i3i3-1000-11−i3i300-11-11−i3i3−i3i30-11−i3i3000-2200-2200000i3−i3000001-1001-1i3−i300000
χ512-2-22-12-2211-22-1-22-20-10i3−i32-22-20011i3i3−i3−i3-12-21i3−i3-1000-11i3−i300-11-11i3−i3i3−i30-11i3−i30002-2002-200000i3−i300000-1100-11i3−i300000
χ522-2-22-12-2211-22-1-22-20-10i3−i32-22-20011i3i3−i3−i3-12-21i3−i3-1000-11i3−i300-11-11i3−i3i3−i30-11i3−i3000-2200-2200000−i3i3000001-1001-1−i3i300000
χ532-2-22-12-2211-22-1-2-220-10−i3i3-22-220011−i3−i3i3i3-12-21−i3i3-10001-1i3−i3001-11-1i3−i3i3−i30-11−i3i30002-200-2200000−i3i300000-11001-1i3−i300000
χ542-2-22-12-2211-22-1-2-220-10−i3i3-22-220011−i3−i3i3i3-12-21−i3i3-10001-1i3−i3001-11-1i3−i3i3−i30-11−i3i3000-22002-200000i3−i3000001-100-11−i3i300000
χ552-2-22-12-2211-22-1-2-220-10i3−i3-22-220011i3i3−i3−i3-12-21i3−i3-10001-1−i3i3001-11-1−i3i3−i3i30-11i3−i30002-200-2200000i3−i300000-11001-1−i3i300000
χ562-2-22-12-2211-22-1-2-220-10i3−i3-22-220011i3i3−i3−i3-12-21i3−i3-10001-1−i3i3001-11-1−i3i3−i3i30-11i3−i3000-22002-200000−i3i3000001-100-11i3−i300000
χ574444-24-4-4-2-244-24004-2-4-2-2000044-2-2-2-2-2-2-2-4-4222200000000000000000-422220000000000000000000000000000000000
χ584444-24-4-4-2-244-2400-4-24220000-4-4-2-22222-2-4-42-2-2200000000000000000422-2-20000000000000000000000000000000000
χ594444-2-244-2-2-2-2-2-244414-2-2-2-2-2-2-2-21111111-2-2-2-2-2-2004-2-2-2-2-2-211111111-211110000000000000000000000000000000000
χ604444-2-244-2-2-2-2-2-244-41-422-2-2-2-22211-1-1-1-11-2-2-222-200-4-2-222221111-1-1-1-1211-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-4-4414-2-22222-2-21111111-2-2-2-2-2-200-4222222-1-1-1-1-1-1-1-1-211110000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-4-4-41-42222222211-1-1-1-11-2-2-222-200422-2-2-2-2-1-1-1-11111211-1-10000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-20041-4-2-2−2i3−2i32i32i3-2-211111112222220000000−2i32i3i3i3−i3−i3i3i3−i3−i32-1-1-1-10000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-20041-4-2-22i32i3−2i3−2i3-2-2111111122222200000002i3−2i3−i3−i3i3i3−i3−i3i3i32-1-1-1-10000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-200-41422−2i3−2i32i32i32211-1-1-1-11222-2-2200000002i3−2i3i3i3−i3−i3−i3−i3i3i3-2-1-1110000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-200-414222i32i3−2i3−2i32211-1-1-1-11222-2-220000000−2i32i3−i3−i3i3i3i3i3−i3−i3-2-1-1110000000000000000000000000000000000
χ6744-4-444004-44-4-4-400040000000004-40000-4000000000000000000000000000000000000000000000000000000000−2i22i2000
χ6844-4-444004-44-4-4-400040000000004-40000-40000000000000000000000000000000000000000000000000000000002i2−2i2000
χ694-44-44400-44-4-4-440004000000000-440000-40000004-400000000000000000000000004-4000000000000000000000000000
χ704-44-44400-44-4-4-440004000000000-440000-4000000-440000000000000000000000000-44000000000000000000000000000
χ714-44-44-200-4422-4-2000-20000000−2i32i32-2−2i32i3−2i32i320000004-40000000000000000000000000-2200−2i32i300000000000000000000000
χ724-44-44-200-4422-4-2000-20000000−2i32i32-2−2i32i3−2i32i32000000-4400000000000000000000000002-2002i3−2i300000000000000000000000
χ734-44-44-200-4422-4-2000-200000002i3−2i32-22i3−2i32i3−2i320000004-40000000000000000000000000-22002i3−2i300000000000000000000000
χ744-44-44-200-4422-4-2000-200000002i3−2i32-22i3−2i32i3−2i32000000-4400000000000000000000000002-200−2i32i300000000000000000000000
χ754-4-44444-4-4-4-444-40004000000000-4-400004-44400-4000000000000000000-44000000000000000000000000000000000000
χ764-4-444-24-4-4-42-242000-2000−2i32i32i3−2i300220000-22-2400-4000000000−2i32i32i3−2i3000002-2000000000000000000000000000000000000
χ774-4-444-24-4-4-42-242000-20002i3−2i3−2i32i300220000-22-2400-40000000002i3−2i3−2i32i3000002-2000000000000000000000000000000000000
χ784-4-444-2-44-4-42-2424-40-2000-22-2200220000-2-22-40040004-40000-22-2200000-22000000000000000000000000000000000000
χ794-4-444-2-44-4-42-242-440-20002-22-200220000-2-22-4004000-4400002-22-200000-22000000000000000000000000000000000000
χ804-4-44-244-422-44-2-4000-20−2i32i300000022−2i3−2i32i32i3-2-44-22i3−2i320000000000000000002-22i3−2i30000000000000000000000000000000000
χ814-4-44-244-422-44-2-4000-202i3−2i3000000222i32i3−2i3−2i3-2-44-2−2i32i320000000000000000002-2−2i32i30000000000000000000000000000000000
χ824-4-44-2-24-4222-2-2200010−2i32i3−2i32i32i3−2i300-1-1i3i3−i3−i312-2-22i3−2i32000000000i3−i3−i3i3-333-30-11−i3i30000000000000000000000000000000000
χ834-4-44-2-24-4222-2-2200010−2i32i32i3−2i3−2i32i300-1-1i3i3−i3−i312-2-22i3−2i32000000000−i3i3i3−i33-3-330-11−i3i30000000000000000000000000000000000
χ844-4-44-2-24-4222-2-22000102i3−2i3−2i32i32i3−2i300-1-1−i3−i3i3i312-2-2−2i32i32000000000i3−i3−i3i33-3-330-11i3−i30000000000000000000000000000000000
χ854-4-44-2-24-4222-2-22000102i3−2i32i3−2i3−2i32i300-1-1−i3−i3i3i312-2-2−2i32i32000000000−i3i3i3−i3-333-30-11i3−i30000000000000000000000000000000000
χ864-4-44-2-2-44222-2-224-4010−2i32i3-22-2200-1-1i3i3−i3−i31-222−2i32i3-2000-22−2i32i3001-11-1i3−i3i3−i301-1i3−i30000000000000000000000000000000000
χ874-4-44-2-2-44222-2-224-40102i3−2i3-22-2200-1-1−i3−i3i3i31-2222i3−2i3-2000-222i3−2i3001-11-1−i3i3−i3i301-1−i3i30000000000000000000000000000000000
χ884-4-44-2-2-44222-2-22-44010−2i32i32-22-200-1-1i3i3−i3−i31-222−2i32i3-20002-22i3−2i300-11-11−i3i3−i3i301-1i3−i30000000000000000000000000000000000
χ894-4-44-2-2-44222-2-22-440102i3−2i32-22-200-1-1−i3−i3i3i31-2222i3−2i3-20002-2−2i32i300-11-11i3−i3i3−i301-1−i3i30000000000000000000000000000000000
χ9088-8-88-4008-8-44-84000-4000000000-440000400000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4800-448-84-8000-4000000000-440000400000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-44-444400020000000002-26-6-66-200000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-400-44-444400020000000002-2-666-6-200000000000000000000000000000000000000000000000000000000000000
χ948-88-8-48004-4-8-848000-40000000004-40000400000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-4004-4444-400020000000−4i34i3-222i3−2i32i3−2i3-200000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4004-4444-4000200000004i3−4i3-22−2i32i3−2i32i3-200000000000000000000000000000000000000000000000000000000000000

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