Finite Group Databasebeta

← Group #11872742

Character table — Group #11872742

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666622366612121212444426666668121224242424242424244444448812121212121266666248121212121212122424242422248864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-111-1-1-11111-1-111111-111-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-111-1-111-111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-111-1-111-111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-111-1-11-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-1111-1-1-1-111111111-1-11-1-1-1-111-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-111-1-111-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-111-111-1-1-1111-1-1111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1111-1-1-111-1-111111111-1-11-1
χ911111111111111-1-11111111111111-1-111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11-1-111-11-1-1-1-11111-1-11111-1-111-1-1
χ1011111111111111-1-11111111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111111-1-11111-11-1-111-1-1-1-1-1-1-1-111-1-111
χ1111111111111111-1-1111111111111-1-1-1-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-111-1-1-1-111
χ1211111111111111-1-1111111111111-1-1-1-1-1-1-111111111111-1-11-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1
χ1311111111111111-1-111111111-1-1-1-11-1-111-1-1-111-1-1-1-1-1-1-1-111-111-111-1-1-1-1-1-11-1-111-1-11-111-1-1111111-1-111-1-1-11
χ1411111111111111-1-111111111-1-1-1-11-1-111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1111-11111-1-1-1-111-1-111-1-1111-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111111-1-1-1-111-1-1-1-1-1-11-111111-1-1-1-11111-1-1-1-1-11
χ17222222-2-2222222002222-2-2-2-222-2-200000000-2-20000000000200-20022-2-22200000000-2000000000000-220000
χ18222222-2-2222222002222-2-2-2-222-2-200000000-2-20000000000-20020022-2-2-2-20000000020000000000002-20000
χ19222222-2-2222222002222-2-2-2-2-2-22200000000-2-20000000000200-200-2-2222200000000-20000000000002-20000
χ20222222-2-2222222002222-2-2-2-2-2-22200000000-2-20000000000-200200-2-222-2-2000000002000000000000-220000
χ2122222-1222-1-122-122-1-1-1-1-122-1000022222-1-12-1-122-1-1-1-1-1-1222002220000-1-1-1-1-1-1-1200-10000-1-100-1-1000000-10
χ2222222-1222-1-122-122-1-1-1-1-122-1000022222-1-12-1-122-1-1-1-1-1-1-2-2-200-2-2-2000011-1-1-1-1-1-2001000011001100000010
χ2322222-1222-1-122-122-1-1-1-1-122-10000-222-2-2-1-1-2-1-1-2-2111111222002-2-20000-1-11-1-111-200-10000-1-1001100000010
χ2422222-1222-1-122-122-1-1-1-1-122-10000-222-2-2-1-1-2-1-1-2-2111111-2-2-200-2220000111-1-111200100001100-1-1000000-10
χ2522222-1222-1-122-1-2-2-1-1-1-1-122-100002-2-22211-2-1-1-2-211111122-200-222000011-111-1-1-20010000-1-100-1-100000010
χ2622222-1222-1-122-1-2-2-1-1-1-1-122-100002-2-22211-2-1-1-2-2111111-2-22002-2-20000-1-1-111-1-1200-10000110011000000-10
χ2722222-1222-1-122-1-2-2-1-1-1-1-122-10000-2-2-2-2-2112-1-122-1-1-1-1-1-122-200-2-2-20000111111120010000-1-10011000000-10
χ2822222-1222-1-122-1-2-2-1-1-1-1-122-10000-2-2-2-2-2112-1-122-1-1-1-1-1-1-2-22002220000-1-111111-200-100001100-1-100000010
χ292222-1222-122-1-1222-1-1-1-12-1-1222222-1-1-1-1222-1-1-1-122-1-1-1-100022000-1-1-1-1002-1-1-1-10220-1-1-1-100-1-10000000000
χ302222-1222-122-1-1222-1-1-1-12-1-122222-2-1-11122-2-1-111-2-2111100022000-1-1-1-100-2-1-1110-2-20-1-11100110000000000
χ312222-1222-122-1-1222-1-1-1-12-1-12-2-2-2-22-1-1-1-1222-1-1-1-122-1-1-1-1000-2-20001111002-1-1-1-10-2-20111100110000000000
χ322222-1222-122-1-1222-1-1-1-12-1-12-2-2-2-2-2-1-11122-2-1-111-2-21111000-2-2000111100-2-1-111022011-1-100-1-10000000000
χ332222-1222-122-1-12-2-2-1-1-1-12-1-122222211-1-1-2-2-2-1-111-2-21111000-2-2000-1-1-1-100211-1-102-2011-1-100110000000000
χ342222-1222-122-1-12-2-2-1-1-1-12-1-122222-21111-2-22-1-1-1-122-1-1-1-1000-2-2000-1-1-1-100-211110-220111100-1-10000000000
χ352222-1222-122-1-12-2-2-1-1-1-12-1-12-2-2-2-2211-1-1-2-2-2-1-111-2-2111100022000111100211-1-10-220-1-11100-1-10000000000
χ362222-1222-122-1-12-2-2-1-1-1-12-1-12-2-2-2-2-21111-2-22-1-1-1-122-1-1-1-100022000111100-2111102-20-1-1-1-100110000000000
χ3722-2-2222-222-2-2-2-22-22-2-22-22-222i−2i2i−2i02-2002-20-22000000000002i−2i0002i−2i2i−2i0002-20000002i−2i0000000000000000
χ3822-2-2222-222-2-2-2-22-22-2-22-22-22−2i2i−2i2i02-2002-20-2200000000000−2i2i000−2i2i−2i2i0002-2000000−2i2i0000000000000000
χ3922-2-2222-222-2-2-2-2-222-2-22-22-222i−2i2i−2i0-2200-220-2200000000000−2i2i0002i−2i2i−2i000-22000000−2i2i0000000000000000
χ4022-2-2222-222-2-2-2-2-222-2-22-22-22−2i2i−2i2i0-2200-220-22000000000002i−2i000−2i2i−2i2i000-220000002i−2i0000000000000000
χ4122-2-222-2222-2-2-2-2002-2-222-22-22i−2i−2i2i000000002-2000000002i−2i0000002i−2i−2i2i0000000000000002i−2i00002-2000000
χ4222-2-222-2222-2-2-2-2002-2-222-22-22i−2i−2i2i000000002-200000000−2i2i0000002i−2i−2i2i000000000000000−2i2i0000-22000000
χ4322-2-222-2222-2-2-2-2002-2-222-22-2−2i2i2i−2i000000002-2000000002i−2i000000−2i2i2i−2i0000000000000002i−2i0000-22000000
χ4422-2-222-2222-2-2-2-2002-2-222-22-2−2i2i2i−2i000000002-200000000−2i2i000000−2i2i2i−2i000000000000000−2i2i00002-2000000
χ4522-2-2-122-2-12-211-22-2-111-1-2-1122i−2i2i−2i0-11−i3i32-201-1−i3i300−i3−i3i3i30002i−2i000−ii−ii000-11−i3i30000−ii3−3003−30000000000
χ4622-2-2-122-2-12-211-22-2-111-1-2-1122i−2i2i−2i0-11i3−i32-201-1i3−i300i3i3−i3−i30002i−2i000−ii−ii000-11i3−i30000−ii−3300−330000000000
χ4722-2-2-122-2-12-211-22-2-111-1-2-112−2i2i−2i2i0-11−i3i32-201-1−i3i300−i3−i3i3i3000−2i2i000i−ii−i000-11−i3i30000i−i−3300−330000000000
χ4822-2-2-122-2-12-211-22-2-111-1-2-112−2i2i−2i2i0-11i3−i32-201-1i3−i300i3i3−i3−i3000−2i2i000i−ii−i000-11i3−i30000i−i3−3003−30000000000
χ4922-2-2-122-2-12-211-2-22-111-1-2-1122i−2i2i−2i01-1−i3i3-2201-1i3−i300i3i3−i3−i3000−2i2i000−ii−ii0001-1−i3i30000i−i3−300−330000000000
χ5022-2-2-122-2-12-211-2-22-111-1-2-1122i−2i2i−2i01-1i3−i3-2201-1−i3i300−i3−i3i3i3000−2i2i000−ii−ii0001-1i3−i30000i−i−33003−30000000000
χ5122-2-2-122-2-12-211-2-22-111-1-2-112−2i2i−2i2i01-1−i3i3-2201-1i3−i300i3i3−i3−i30002i−2i000i−ii−i0001-1−i3i30000−ii−33003−30000000000
χ5222-2-2-122-2-12-211-2-22-111-1-2-112−2i2i−2i2i01-1i3−i3-2201-1−i3i300−i3−i3i3i30002i−2i000i−ii−i0001-1i3−i30000−ii3−300−330000000000
χ5344444-2-4-44-2-244-200-2-2-2-22-4-42000000000000220000000000400-4000000-2-2000000002000000000000000000
χ5444444-2-4-44-2-244-200-2-2-2-22-4-42000000000000220000000000-40040000002200000000-2000000000000000000
χ554444-24-4-4-244-2-2400-2-2-2-2-422-444-4-400000000220000000000000000-2-22200000000000000000000000000000
χ564444-24-4-4-244-2-2400-2-2-2-2-422-4-4-4440000000022000000000000000022-2-200000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-200004-2-2-2-2-2-2411-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-20000-4-2-222-2-2-4112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000422-2-222-4112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000-4222222411-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44-24-44-22-4-424-4-222-224-4-2000004-400-2202-200000000000000000000000-22000000000000000000000000
χ6244-4-44-24-44-22-4-42-44-222-224-4-200000-44002-202-2000000000000000000000002-2000000000000000000000000
χ6344-4-44-2-444-22-4-4200-222-2-2-442000000000000-22000000004i−4i0000000000000000000000000−2i2i000000000000
χ6444-4-44-2-444-22-4-4200-222-2-2-442000000000000-2200000000−4i4i00000000000000000000000002i−2i000000000000
χ6544-4-4-24-44-24-422-400-222-242-2-44i−4i−4i4i00000000-220000000000000000−2i2i2i−2i00000000000000000000000000000
χ6644-4-4-24-44-24-422-400-222-242-2-4−4i4i4i−4i00000000-2200000000000000002i−2i−2i2i00000000000000000000000000000
χ6744-4-4-2-24-4-2-222224-41-1-112-22-200000-22−2i32i3-220-11−2i32i300i3i3−i3−i30000000000000001-1i3−i30000000000000000000000
χ6844-4-4-2-24-4-2-222224-41-1-112-22-200000-222i3−2i3-220-112i3−2i300−i3−i3i3i30000000000000001-1−i3i30000000000000000000000
χ6944-4-4-2-24-4-2-22222-441-1-112-22-2000002-2−2i32i32-20-112i3−2i300−i3−i3i3i3000000000000000-11i3−i30000000000000000000000
χ7044-4-4-2-24-4-2-22222-441-1-112-22-2000002-22i3−2i32-20-11−2i32i300i3i3−i3−i3000000000000000-11−i3i30000000000000000000000
χ714-44-44400-4-4-44-440044-4-40000000000000000000000000000000022−220000000000000000000000022−2200000000
χ724-44-44400-4-4-44-440044-4-400000000000000000000000000000000−222200000000000000000000000−222200000000
χ734-44-44-200-4224-4-200-2-22200000000000000000000i6−i6i6−i6i6−i600000022−220000−2i32i300000000000000000−2200000000
χ744-44-44-200-4224-4-200-2-22200000000000000000000i6−i6i6−i6i6−i6000000−222200002i3−2i3000000000000000002−200000000
χ754-44-44-200-4224-4-200-2-22200000000000000000000−i6i6−i6i6−i6i600000022−2200002i3−2i300000000000000000−2200000000
χ764-44-44-200-4224-4-200-2-22200000000000000000000−i6i6−i6i6−i6i6000000−22220000−2i32i3000000000000000002−200000000
χ774-4-444400-4-44-44-4004-44-400000000000000000000000000000000000000000000000000000000000000022−2200
χ784-4-444400-4-44-44-4004-44-4000000000000000000000000000000000000000000000000000000000000000−222200
χ798888-4-4-8-8-4-4-4-4-4-40022224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-4-88-4-44444002-2-22-44-440000000000002-20000000000000000000000000000000000000000000000000
χ818-88-8-48004-8-8-44800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-44-40022-2-2000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ838-88-8-4-400444-44-40022-2-200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000
χ848-8-888-400-84-4-88400-44-440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-884-4-800-44-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-44-44002-22-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ878-8-88-4-40044-44-44002-22-20000000000000000000000−323232−3200000000000000000000000000000000000000000

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