Finite Group Databasebeta

← Group #11864124

Character table — Group #11864124

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order122233446666662236661212121222444426666668121224242424242424242444466121212126666622246668812121212242424242241248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-111111111111-111-1-111-1-11-1-1-1-11111-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-1111111111111111111-111-1-11111-1-111111-1-11-1-1111-111-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-1-1111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-11111111-1-1-111-1-1-11-1-11111-1-1-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-11111-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-111-1-1-1-11-11111-1-1-111-1-111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ8111111111111111111111111-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11111-1-1-1-111111111-1-1
χ911111111111111-1-1111111111111111-1-1-1-111-111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1
χ1011111111111111-1-111111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-111-1-11-1-111-1-1-1-11111-1-11-1-11
χ1111111111111111-1-1111111111111-1-11-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-111-1-11-1-111-11-1-11111-1-111-1-1-11
χ1211111111111111-1-1111111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-111-1-11111-111-1
χ1311111111111111-1-111111111-1-1-1-1111-1-1-1-111-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-111-1-1-111-1-11-111-1-1-1-11111-11-11
χ1411111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1111-1111-1-111-1-111-1-11-1
χ1511111111111111-1-111111111-1-1-1-1-1-11-1-1-1-111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11111-1-1-1-1-11111111111-1-11-11-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-1-1-111-11
χ17222222-2-2222222002222-2-2-2-222-2-22200000000-2-200000000-2000022-2-22200000-2-200-2000000000000002000
χ18222222-2-2222222002222-2-2-2-222-2-2-2-200000000-2-2000000002000022-2-2-2-2000002200200000000000000-2000
χ19222222-2-2222222002222-2-2-2-2-2-2222200000000-2-200000000-20000-2-22222000002200-200000000000000-2000
χ20222222-2-2222222002222-2-2-2-2-2-222-2-200000000-2-20000000020000-2-222-2-200000-2-2002000000000000002000
χ2122222-1222-1-122-122-1-1-1-1-122-1222200222-1-1-1-12-1-122-1-1-1-1-1-102200-1-1-1-1002-1-1-1-100200-1-120-1-10000-1-1000000
χ2222222-1222-1-122-122-1-1-1-1-122-1222200-222-1-111-2-1-1-2-211111102200-1-1-1-100-2-1-11100-20011-20-1-1000011000000
χ2322222-1222-1-122-122-1-1-1-1-122-1-2-2-2-200222-1-1-1-12-1-122-1-1-1-1-1-10-2-2001111002-1-1-1-100-20011-2011000011000000
χ2422222-1222-1-122-122-1-1-1-1-122-1-2-2-2-200-222-1-111-2-1-1-2-21111110-2-200111100-2-1-11100200-1-120110000-1-1000000
χ2522222-1222-1-122-1-2-2-1-1-1-1-122-12222002-2-211-1-1-2-1-1-2-21111110-2-200-1-1-1-100211-1-100200-1-1-2011000011000000
χ2622222-1222-1-122-1-2-2-1-1-1-1-122-1222200-2-2-211112-1-122-1-1-1-1-1-10-2-200-1-1-1-100-2111100-2001120110000-1-1000000
χ2722222-1222-1-122-1-2-2-1-1-1-1-122-1-2-2-2-2002-2-211-1-1-2-1-1-2-211111102200111100211-1-100-2001120-1-10000-1-1000000
χ2822222-1222-1-122-1-2-2-1-1-1-1-122-1-2-2-2-200-2-2-211112-1-122-1-1-1-1-1-102200111100-2111100200-1-1-20-1-1000011000000
χ292222-1222-122-1-1222-1-1-1-12-1-120000222-1-122222-1-1-1-122-1-1-1-1200220000-1-1-1-1-1-1-10002-1000200-1-1-1-100000-100
χ302222-1222-122-1-1222-1-1-1-12-1-12000022-2-1-122-2-2-2-1-111-2-21111200220000-1-11-1-111000-2-1000-200-1-11100000100
χ312222-1222-122-1-1222-1-1-1-12-1-120000-2-22-1-122222-1-1-1-122-1-1-1-1-200-2-2000011-1-1-1-1-1000-21000-200111100000100
χ322222-1222-122-1-1222-1-1-1-12-1-120000-2-2-2-1-122-2-2-2-1-111-2-21111-200-2-20000111-1-1110002100020011-1-100000-100
χ332222-1222-122-1-12-2-2-1-1-1-12-1-12000022211-2-222-2-1-111-2-21111200-2-20000-1-1-111-1-10002-1000-200111100000-100
χ342222-1222-122-1-12-2-2-1-1-1-12-1-12000022-211-2-2-2-22-1-1-1-122-1-1-1-1200-2-20000-1-111111000-2-100020011-1-100000100
χ352222-1222-122-1-12-2-2-1-1-1-12-1-120000-2-2211-2-222-2-1-111-2-21111-20022000011-111-1-1000-21000200-1-1-1-100000100
χ362222-1222-122-1-12-2-2-1-1-1-12-1-120000-2-2-211-2-2-2-22-1-1-1-122-1-1-1-1-200220000111111100021000-200-1-11100000-100
χ372-2-22222-2-2-2-2-2222-22-2-22-22-222-22-20002-22-2000-220000000002-2002-22-20002-2000000000002-2000000000000
χ382-2-22222-2-2-2-2-2222-22-2-22-22-22-22-220002-22-2000-22000000000-2200-22-220002-200000000000-22000000000000
χ392-2-22222-2-2-2-2-222-222-2-22-22-222-22-2000-22-22000-22000000000-22002-22-2000-2200000000000-22000000000000
χ402-2-22222-2-2-2-2-222-222-2-22-22-22-22-22000-22-22000-220000000002-200-22-22000-22000000000002-2000000000000
χ412-2-2222-22-2-2-2-222002-2-222-22-22-2-2200000000002-2000000000002-22-2-220000000000000000002-200002-20000
χ422-2-2222-22-2-2-2-222002-2-222-22-22-2-2200000000002-200000000000-222-2-22000000000000000000-220000-220000
χ432-2-2222-22-2-2-2-222002-2-222-22-2-222-200000000002-2000000000002-2-222-20000000000000000002-20000-220000
χ442-2-2222-22-2-2-2-222002-2-222-22-2-222-200000000002-200000000000-22-222-2000000000000000000-2200002-20000
χ452-2-222-12-2-211-22-12-2-111-112-2-12-22-20002-2-11−i3i301-100−i3i3−i3−i3i3i302-200-11-11000-11−i3i300000−i3i300-110000−i3i3000000
χ462-2-222-12-2-211-22-12-2-111-112-2-12-22-20002-2-11i3−i301-100i3−i3i3i3−i3−i302-200-11-11000-11i3−i300000i3−i300-110000i3−i3000000
χ472-2-222-12-2-211-22-12-2-111-112-2-1-22-220002-2-11−i3i301-100−i3i3−i3−i3i3i30-22001-11-1000-11−i3i300000i3−i3001-10000i3−i3000000
χ482-2-222-12-2-211-22-12-2-111-112-2-1-22-220002-2-11i3−i301-100i3−i3i3i3−i3−i30-22001-11-1000-11i3−i300000−i3i3001-10000−i3i3000000
χ492-2-222-12-2-211-22-1-22-111-112-2-12-22-2000-221-1−i3i301-100i3−i3i3i3−i3−i30-2200-11-110001-1−i3i300000−i3i3001-10000i3−i3000000
χ502-2-222-12-2-211-22-1-22-111-112-2-12-22-2000-221-1i3−i301-100−i3i3−i3−i3i3i30-2200-11-110001-1i3−i300000i3−i3001-10000−i3i3000000
χ512-2-222-12-2-211-22-1-22-111-112-2-1-22-22000-221-1−i3i301-100i3−i3i3i3−i3−i302-2001-11-10001-1−i3i300000i3−i300-110000−i3i3000000
χ522-2-222-12-2-211-22-1-22-111-112-2-1-22-22000-221-1i3−i301-100−i3i3−i3−i3i3i302-2001-11-10001-1i3−i300000−i3i300-110000i3−i3000000
χ5344444-2-4-44-2-244-200-2-2-2-22-4-4244-4-40000000000220000000000000-2-222000000000000000000000000000000
χ5444444-2-4-44-2-244-200-2-2-2-22-4-42-4-444000000000022000000000000022-2-2000000000000000000000000000000
χ554444-24-4-4-244-2-2400-2-2-2-2-422-4000044000000002200000000-400000000-2-20000000002000000000000000000
χ564444-24-4-4-244-2-2400-2-2-2-2-422-40000-4-400000000220000000040000000022000000000-2000000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-20000004-2-2-2-2-2-2411-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-2000000-4-2-2-2-222-4112222-1-1-1-100000000000211-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200000042222-2-2-4112222-1-1-1-100000000000-2-1-11100000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000000-4222222411-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-4440044-4-4-4-40044-4-4000000004i−4i0000000000000000000000000004i−4i0000000000000000000000000000
χ6244-4-4440044-4-4-4-40044-4-400000000−4i4i000000000000000000000000000−4i4i0000000000000000000000000000
χ6344-4-4-2400-24-422-400-2-222000000004i−4i0000000000i6−i600i6−i6i6−i6000000000−2i2i0000000000000000006−600000000
χ6444-4-4-2400-24-422-400-2-222000000004i−4i0000000000−i6i600−i6i6−i6i6000000000−2i2i000000000000000000−6600000000
χ6544-4-4-2400-24-422-400-2-22200000000−4i4i0000000000i6−i600i6−i6i6−i60000000002i−2i000000000000000000−6600000000
χ6644-4-4-2400-24-422-400-2-22200000000−4i4i0000000000−i6i600−i6i6−i6i60000000002i−2i0000000000000000006−600000000
χ674-44-44400-4-444-4-4004-44-4000000000000000000000000000000000000000000004-4000000000000000000000
χ684-44-44400-4-444-4-4004-44-400000000000000000000000000000000000000000000-44000000000000000000000
χ694-4-444-2-44-422-44-200-222-2-2-4424-4-440000000000-220000000000000-222-2000000000000000000000000000000
χ704-4-444-2-44-422-44-200-222-2-2-442-444-40000000000-2200000000000002-2-22000000000000000000000000000000
χ714-4-44-244-42-4-42-244-4-222-2-4-2240000000-224-40002-200000000000000000000-220000000000000000000000000
χ724-4-44-244-42-4-42-24-44-222-2-4-22400000002-2-440002-2000000000000000000002-20000000000000000000000000
χ734-4-44-24-442-4-42-2400-222-242-2-400000000000000-22000000000004-40000000000000000000000-220000000000
χ744-4-44-24-442-4-42-2400-222-242-2-400000000000000-2200000000000-4400000000000000000000002-20000000000
χ754-4-44-2-24-42222-2-24-41-1-112-22-20000000-22-22−2i32i30-1100−2i32i3i3i3−i3−i30000000000001-1i3−i300000000000000000000000
χ764-4-44-2-24-42222-2-24-41-1-112-22-20000000-22-222i3−2i30-11002i3−2i3−i3−i3i3i30000000000001-1−i3i300000000000000000000000
χ774-4-44-2-24-42222-2-2-441-1-112-22-200000002-22-2−2i32i30-11002i3−2i3−i3−i3i3i3000000000000-11i3−i300000000000000000000000
χ784-4-44-2-24-42222-2-2-441-1-112-22-200000002-22-22i3−2i30-1100−2i32i3i3i3−i3−i3000000000000-11−i3i300000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4002222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-88-4008-44-8-8400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444440022-2-2000000000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444440022-2-200000000000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ838-88-88-400-84-48-8400-44-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-48004-88-44-800-44-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-4-444002-22-200000000000000000000000032−32−3232000000000000000000000000000000000000000
χ868-88-8-4-40044-4-444002-22-2000000000000000000000000−323232−32000000000000000000000000000000000000000
χ878-8-88-4-4-884444-4-4002-2-22-44-44000000000000002-200000000000000000000000000000000000000000000000

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