Finite Group Databasebeta

← Group #11864462

Character table — Group #11864462

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order122233446666662236661212121222442666666812122424242424242424244444668812121212666662466681212121224242424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-111-1-1-111-1-111-1-1111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-111-1-1-11-1-1-1-111-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111-1-1111-1-111-1-11111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-111-111-1-11-11111-1-111-1-111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1111-1-1-1-111111111-1-11-1
χ911111111111111-1-11111111111111-1-1-1-111-111-1-1-1-1-1-1-1-11-1-11-1-111-1-111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-111
χ1011111111111111-1-11111111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1111-1-111-1-1-11111-1-1-1-11111-1-1
χ1111111111111111-1-1111111111111-1-1-1-1-1-1-1111111111111-1-11-1-111111111-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-111-1-1
χ1211111111111111-1-1111111111111-1-1-1-1-1-1-111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-11-1-111-1-111-1-111-1-111
χ1311111111111111-1-111111111-1-1-1-11-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-111-1-1111-1-1-1-111-1-111111-1
χ1411111111111111-1-111111111-1-1-1-11-1-1-1-111-111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-11-1-111-1-1-1-1-111111111111-1-1-1-1-11
χ1511111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-111-1-1-1-1-11-1111-111-1-111-1-1-1-111-1-1-11
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-111-1-1111-1
χ17222222-2-2222222002222-2-2-2-222-2-200000000-2-200000000200-2002200-2-2-2-20000000200000000000-22000000
χ18222222-2-2222222002222-2-2-2-222-2-200000000-2-200000000-2002002200-2-2220000000-2000000000002-2000000
χ19222222-2-2222222002222-2-2-2-2-2-22200000000-2-200000000200-200-2-20022-2-200000002000000000002-2000000
χ20222222-2-2222222002222-2-2-2-2-2-22200000000-2-200000000-200200-2-20022220000000-200000000000-22000000
χ2122222-1222-1-122-122-1-1-1-1-122-12222222-1-1-1-12-1-122-1-1-1-1-1-1022000-1-100-1-1002-1-1-1-1200-1-12-1-10000-1-100000000
χ2222222-1222-1-122-122-1-1-1-1-122-12222-222-1-111-2-1-1-2-2111111022000-1-100-1-100-2-1-111-20011-2-1-100001100000000
χ2322222-1222-1-122-122-1-1-1-1-122-1-2-2-2-2222-1-1-1-12-1-122-1-1-1-1-1-10-2-2000110011002-1-1-1-1-20011-21100001100000000
χ2422222-1222-1-122-122-1-1-1-1-122-1-2-2-2-2-222-1-111-2-1-1-2-21111110-2-200011001100-2-1-111200-1-12110000-1-100000000
χ2522222-1222-1-122-1-2-2-1-1-1-1-122-122222-2-211-1-1-2-1-1-2-21111110-2-2000-1-100-1-100211-1-1200-1-1-21100001100000000
χ2622222-1222-1-122-1-2-2-1-1-1-1-122-12222-2-2-211112-1-122-1-1-1-1-1-10-2-2000-1-100-1-100-21111-200112110000-1-100000000
χ2722222-1222-1-122-1-2-2-1-1-1-1-122-1-2-2-2-22-2-211-1-1-2-1-1-2-211111102200011001100211-1-1-200112-1-10000-1-100000000
χ2822222-1222-1-122-1-2-2-1-1-1-1-122-1-2-2-2-2-2-2-211112-1-122-1-1-1-1-1-102200011001100-21111200-1-1-2-1-100001100000000
χ292222-1222-122-1-1222-1-1-1-12-1-1200002-1-122222-1-1-1-122-1-1-1-1200222002200-1-1-1-1-1-1-102-100000-1-1-1-100000000-10
χ302222-1222-122-1-1222-1-1-1-12-1-1200002-1-122222-1-1-1-122-1-1-1-1-200-2-2-200-2-20011-1-1-1-1-10-210000011110000000010
χ312222-1222-122-1-1222-1-1-1-12-1-120000-2-1-122-2-2-2-1-111-2-2111120022200-2-200-1-11-1-1110-2-100000-1-1110000000010
χ322222-1222-122-1-1222-1-1-1-12-1-120000-2-1-122-2-2-2-1-111-2-21111-200-2-2-2002200111-1-1110210000011-1-100000000-10
χ332222-1222-122-1-12-2-2-1-1-1-12-1-120000211-2-222-2-1-111-2-211112002-2-200-2-200-1-1-111-1-102-100000111100000000-10
χ342222-1222-122-1-12-2-2-1-1-1-12-1-120000211-2-222-2-1-111-2-21111-200-22200220011-111-1-10-2100000-1-1-1-10000000010
χ352222-1222-122-1-12-2-2-1-1-1-12-1-120000-211-2-2-2-22-1-1-1-122-1-1-1-12002-2-2002200-1-1111110-2-10000011-1-10000000010
χ362222-1222-122-1-12-2-2-1-1-1-12-1-120000-211-2-2-2-22-1-1-1-122-1-1-1-1-200-22200-2-200111111102100000-1-11100000000-10
χ372-2-22222-2-2-2-2-2222-22-2-22-22-222-22-202-22-2000-220000000002-20002-2002-20002-2000000002-200000000000000
χ382-2-22222-2-2-2-2-2222-22-2-22-22-22-22-2202-22-2000-22000000000-22000-2200-220002-200000000-2200000000000000
χ392-2-22222-2-2-2-2-222-222-2-22-22-222-22-20-22-22000-22000000000-220002-2002-2000-2200000000-2200000000000000
χ402-2-22222-2-2-2-2-222-222-2-22-22-22-22-220-22-22000-220000000002-2000-2200-22000-22000000002-200000000000000
χ412-2-2222-22-2-2-2-222002-2-222-22-22-2-22000000002-20000000000002-22-200-220000000000000002-20000002-20000
χ422-2-2222-22-2-2-2-222002-2-222-22-22-2-22000000002-2000000000000-222-200-22000000000000000-22000000-220000
χ432-2-2222-22-2-2-2-222002-2-222-22-2-222-2000000002-20000000000002-2-22002-20000000000000002-2000000-220000
χ442-2-2222-22-2-2-2-222002-2-222-22-2-222-2000000002-2000000000000-22-22002-2000000000000000-220000002-20000
χ452-2-222-12-2-211-22-12-2-111-112-2-12-22-202-2-11−i3i301-100−i3i3−i3−i3i3i302-2000-1100-11000-11−i3i3000−i3i30-110000−i3i300000000
χ462-2-222-12-2-211-22-12-2-111-112-2-12-22-202-2-11i3−i301-100i3−i3i3i3−i3−i302-2000-1100-11000-11i3−i3000i3−i30-110000i3−i300000000
χ472-2-222-12-2-211-22-12-2-111-112-2-1-22-2202-2-11−i3i301-100−i3i3−i3−i3i3i30-220001-1001-1000-11−i3i3000i3−i301-10000i3−i300000000
χ482-2-222-12-2-211-22-12-2-111-112-2-1-22-2202-2-11i3−i301-100i3−i3i3i3−i3−i30-220001-1001-1000-11i3−i3000−i3i301-10000−i3i300000000
χ492-2-222-12-2-211-22-1-22-111-112-2-12-22-20-221-1−i3i301-100i3−i3i3i3−i3−i30-22000-1100-110001-1−i3i3000−i3i301-10000i3−i300000000
χ502-2-222-12-2-211-22-1-22-111-112-2-12-22-20-221-1i3−i301-100−i3i3−i3−i3i3i30-22000-1100-110001-1i3−i3000i3−i301-10000−i3i300000000
χ512-2-222-12-2-211-22-1-22-111-112-2-1-22-220-221-1−i3i301-100i3−i3i3i3−i3−i302-20001-1001-10001-1−i3i3000i3−i30-110000−i3i300000000
χ522-2-222-12-2-211-22-1-22-111-112-2-1-22-220-221-1i3−i301-100−i3i3−i3−i3i3i302-20001-1001-10001-1i3−i3000−i3i30-110000i3−i300000000
χ5344444-2-4-44-2-244-200-2-2-2-22-4-4244-4-4000000002200000000000000-2-2002200000000000000000000000000000
χ5444444-2-4-44-2-244-200-2-2-2-22-4-42-4-4440000000022000000000000002200-2-200000000000000000000000000000
χ554444-24-4-4-244-2-2400-2-2-2-2-422-40000000000002200000000400-400000000220000000-20000000000000000000
χ564444-24-4-4-244-2-2400-2-2-2-2-422-40000000000002200000000-400400000000-2-2000000020000000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-200004-2-2-2-2-2-2411-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-20000-4-2-2-2-222-4112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000042222-2-2-4112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000-4222222411-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-44-44-4-40044-4-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6244-4-44400-44-44-4-40044-4-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ634-44-444004-44-4-4-4004-44-40000000000000000000000000000000000−2i22i20000000000000000000−2i22i20000000000
χ644-44-444004-44-4-4-4004-44-400000000000000000000000000000000002i2−2i200000000000000000002i2−2i20000000000
χ654-44-4-2400-2-4422-400-22-22000000000000000000i6−i600i6−i6i6−i600000000−2i22i20023−23000000000000000i2−i20000000000
χ664-44-4-2400-2-4422-400-22-22000000000000000000i6−i600i6−i6i6−i6000000002i2−2i200−2323000000000000000−i2i20000000000
χ674-44-4-2400-2-4422-400-22-22000000000000000000−i6i600−i6i6−i6i600000000−2i22i200−2323000000000000000i2−i20000000000
χ684-44-4-2400-2-4422-400-22-22000000000000000000−i6i600−i6i6−i6i6000000002i2−2i20023−23000000000000000−i2i20000000000
χ694-4-444-2-44-422-44-200-222-2-2-4424-4-4400000000-2200000000000000-22002-200000000000000000000000000000
χ704-4-444-2-44-422-44-200-222-2-2-442-444-400000000-22000000000000002-200-2200000000000000000000000000000
χ714-4-44-244-42-4-42-244-4-222-2-4-22400000-224-40002-200000000000000000000000-22000000000000000000000000
χ724-4-44-244-42-4-42-24-44-222-2-4-224000002-2-440002-2000000000000000000000002-2000000000000000000000000
χ734-4-44-24-442-4-42-2400-222-242-2-4000000000000-220000000000004-4000000000000000000000-22000000000000
χ744-4-44-24-442-4-42-2400-222-242-2-4000000000000-22000000000000-440000000000000000000002-2000000000000
χ754-4-44-2-24-42222-2-24-41-1-112-22-200000-22-22−2i32i30-1100−2i32i3i3i3−i3−i30000000000000001-1i3−i30000000000000000000000
χ764-4-44-2-24-42222-2-24-41-1-112-22-200000-22-222i3−2i30-11002i3−2i3−i3−i3i3i30000000000000001-1−i3i30000000000000000000000
χ774-4-44-2-24-42222-2-2-441-1-112-22-2000002-22-2−2i32i30-11002i3−2i3−i3−i3i3i3000000000000000-11i3−i30000000000000000000000
χ784-4-44-2-24-42222-2-2-441-1-112-22-2000002-22-22i3−2i30-1100−2i32i3i3i3−i3−i3000000000000000-11−i3i30000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-40022224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-400-8-448-8400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-480048-8-44-800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-4004-44-4440022-2-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ8388-8-8-4-4004-44-4440022-2-20000000000000000000000−323232−3200000000000000000000000000000000000000000
χ848-88-88-40084-4-8-8400-44-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400-44-4444002-22-20000000000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000
χ868-88-8-4-400-44-4444002-22-2000000000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000
χ878-8-88-4-4-884444-4-4002-2-22-44-440000000000002-20000000000000000000000000000000000000000000000000

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