Finite Group Databasebeta

← Group #11793948

Character table — Group #11793948

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order1222223344446666666666366666666612121212121212124412121212121212121212121212121212121212128888242424242424242424446688121212121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1111111-1-1
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000002i−2i00
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000000000000000000000000000−2i2i00
χ112222222-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002002-1-1220000-1-1-1-1-1-10000
χ122222222-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-200-211-2-200001111110000
χ132222222-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-1111111110000000000002002-1-1-2-20000-1-111110000
χ142222222-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-111111111000000000000-200-21122000011-1-1-1-10000
χ15222222-122222-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-102200000-1-1-1-10000000000
χ16222222-122222-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110-2-20000011110000000000
χ17222222-122222-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-1111111112222-1-1-1-1-1-1-1-10-2-20000011110000000000
χ18222222-122222-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-21111111102200000-1-1-1-10000000000
χ192222-2-2222-2-222-2-2-2-2222222-2-222-2-2-2-2222-22-2-2-22000000000022-2-200000000000000000000200-222000000-2-200000000
χ202222-2-2222-2-222-2-2-2-2222222-2-222-2-2-2-2222-22-2-2-22000000000022-2-200000000000000000000-2002-2-20000002200000000
χ212222-2-222-222-22-2-2-2-2222222-2-222-2-2-2-22-2-22-2222-20000000000-2-2220000000022-2-22222-2-2-2-20000000000000000000000
χ222222-2-222-222-22-2-2-2-2222222-2-222-2-2-2-22-2-22-2222-20000000000-2-22200000000-2-222-2-2-2-222220000000000000000000000
χ232222-2-22-12-2-222-2-2-2-2-1-122-1-111-1-11111-122-2-111-2-1000000−i3−i3i3i3-1-111−i3−i3−i3−i3i3i3i3i3000000000000200-2-1-100000011−i3−i3i3i30000
χ242222-2-22-12-2-222-2-2-2-2-1-122-1-111-1-11111-122-2-111-2-1000000−i3−i3i3i3-1-111−i3−i3−i3−i3i3i3i3i3000000000000-200211000000-1-1i3i3−i3−i30000
χ252222-2-22-12-2-222-2-2-2-2-1-122-1-111-1-11111-122-2-111-2-1000000i3i3−i3−i3-1-111i3i3i3i3−i3−i3−i3−i3000000000000200-2-1-100000011i3i3−i3−i30000
χ262222-2-22-12-2-222-2-2-2-2-1-122-1-111-1-11111-122-2-111-2-1000000i3i3−i3−i3-1-111i3i3i3i3−i3−i3−i3−i3000000000000-200211000000-1-1−i3−i3i3i30000
χ272222-2-2-12-222-2-1111122-1-12-1-2-2-1-11111-111-1-222-1-200−i3−i3i3i3000011-1-1−i3−i3i3i3−i3−i3i3i322-2-2-1-1-1-1111100000000−i3−i3i3i30000000000
χ282222-2-2-12-222-2-1111122-1-12-1-2-2-1-11111-111-1-222-1-200−i3−i3i3i3000011-1-1−i3−i3i3i3−i3−i3i3i3-2-2221111-1-1-1-100000000i3i3−i3−i30000000000
χ292222-2-2-12-222-2-1111122-1-12-1-2-2-1-11111-111-1-222-1-200i3i3−i3−i3000011-1-1i3i3−i3−i3i3i3−i3−i322-2-2-1-1-1-1111100000000i3i3−i3−i30000000000
χ302222-2-2-12-222-2-1111122-1-12-1-2-2-1-11111-111-1-222-1-200i3i3−i3−i3000011-1-1i3i3−i3−i3i3i3−i3−i3-2-2221111-1-1-1-100000000−i3−i3i3i30000000000
χ312-22-22-22222-2-2-222-2-2-2-22-2222-2-2-222-2-222-2-222-22-200000000002-22-200000000000000000000000000000000000000002i−2i
χ322-22-22-22222-2-2-222-2-2-2-22-2222-2-2-222-2-222-2-222-22-200000000002-22-20000000000000000000000000000000000000000−2i2i
χ332-22-22-222-2-222-222-2-2-2-22-2222-2-2-222-2-22-222-2-22-222-22-22-22-22-2-22-222-22-22-22-20000000000000000000000000000000000
χ342-22-22-222-2-222-222-2-2-2-22-2222-2-2-222-2-22-222-2-22-22-22-22-22-22-22-22-22-22-22-22-220000000000000000000000000000000000
χ352-22-22-22-1-2-222-222-2-2112-2-1-1-1111-1-111-1-22211-1-2-12-22-22-2-11-111-11-1-11-11-11-110000000000000000−i3i3000000−i3i3−i3i3−i3i30000
χ362-22-22-22-1-2-222-222-2-2112-2-1-1-1111-1-111-1-22211-1-2-12-22-22-2-11-111-11-1-11-11-11-110000000000000000i3−i3000000i3−i3i3−i3i3−i30000
χ372-22-22-22-1-2-222-222-2-2112-2-1-1-1111-1-111-1-22211-1-2-1-22-22-221-11-11-11-11-11-11-11-10000000000000000−i3i3000000−i3i3i3−i3i3−i30000
χ382-22-22-22-1-2-222-222-2-2112-2-1-1-1111-1-111-1-22211-1-2-1-22-22-221-11-11-11-11-11-11-11-10000000000000000i3−i3000000i3−i3−i3i3−i3i30000
χ392-22-22-2-12-2-2221-1-111-2-2-112-12-211-1-111-11-1-1-2-22122-2-11-112-22-21-11-1-11-11-11-11000033−3−333−3−3000000003−33−30000000000
χ402-22-22-2-12-2-2221-1-111-2-2-112-12-211-1-111-11-1-1-2-22122-2-11-112-22-21-11-1-11-11-11-110000−3−333−3−33300000000−33−330000000000
χ412-22-22-2-12-2-2221-1-111-2-2-112-12-211-1-111-11-1-1-2-2212-221-11-1-22-221-11-11-11-11-11-1000033−3−333−3−300000000−33−330000000000
χ422-22-22-2-12-2-2221-1-111-2-2-112-12-211-1-111-11-1-1-2-2212-221-11-1-22-221-11-11-11-11-11-10000−3−333−3−333000000003−33−30000000000
χ432-22-2-22222-22-2-2-2-222-2-22-222-22-2-2-2-22222-222-22-2-200000000002-2-220000000000000000000002i−2i000002i−2i−2i2i0000000000
χ442-22-2-22222-22-2-2-2-222-2-22-222-22-2-2-2-22222-222-22-2-200000000002-2-22000000000000000000000−2i2i00000−2i2i2i−2i0000000000
χ452-22-2-2222-22-22-2-2-222-2-22-222-22-2-2-2-2222-22-2-22-2220000000000-222-2000000000000000000000000002-20000002-2-220000
χ462-22-2-2222-22-22-2-2-222-2-22-222-22-2-2-2-2222-22-2-22-2220000000000-222-200000000000000000000000000-22000000-222-20000
χ472-22-2-222-1-22-22-2-2-222112-2-1-11-11111-1-1-1-22-21-112-1000000−i3i3i3−i31-1-11−i3i3−i3i3i3−i3i3−i30000000000000000−i3i32-20000i3−i3-111-10000
χ482-22-2-222-1-22-22-2-2-222112-2-1-11-11111-1-1-1-22-21-112-1000000−i3i3i3−i31-1-11−i3i3−i3i3i3−i3i3−i30000000000000000i3−i3-220000−i3i31-1-110000
χ492-22-2-222-1-22-22-2-2-222112-2-1-11-11111-1-1-1-22-21-112-1000000i3−i3−i3i31-1-11i3−i3i3−i3−i3i3−i3i30000000000000000−i3i3-220000i3−i31-1-110000
χ502-22-2-222-1-22-22-2-2-222112-2-1-11-11111-1-1-1-22-21-112-1000000i3−i3−i3i31-1-11i3−i3i3−i3−i3i3−i3i30000000000000000i3−i32-20000−i3i3-111-10000
χ512-22-2-22-122-22-2111-1-1-2-2-112-1-221111-1-1-1-11-12-221-200−i3i3i3−i30000-111-1−i3i3i3−i3−i3i3i3−i3000033−3−3−3−33302i−2i00000−iii−i0000000000
χ522-22-2-22-122-22-2111-1-1-2-2-112-1-221111-1-1-1-11-12-221-200−i3i3i3−i30000-111-1−i3i3i3−i3−i3i3i3−i30000−3−33333−3−30−2i2i00000i−i−ii0000000000
χ532-22-2-22-122-22-2111-1-1-2-2-112-1-221111-1-1-1-11-12-221-200i3−i3−i3i30000-111-1i3−i3−i3i3i3−i3−i3i3000033−3−3−3−3330−2i2i00000i−i−ii0000000000
χ542-22-2-22-122-22-2111-1-1-2-2-112-1-221111-1-1-1-11-12-221-200i3−i3−i3i30000-111-1i3−i3−i3i3i3−i3−i3i30000−3−33333−3−302i−2i00000−iii−i0000000000
χ554444444-2-4-4-4-444444-2-244-2-2-2-2-2-2-2-2-2-2-2-4-4-4222-4200000000002222000000000000000000000000000000000000000000
χ56444444-24-4-4-4-4-2-2-2-2-244-2-24-244-2-2-2-2-2-2-2222-4-4-42-400000000002222000000000000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ58444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222220000000000-1-1-1-133-3-3-3-3330000000000000000000000000000000000
χ60444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222220000000000-1-1-1-1-3-33333-3-30000000000000000000000000000000000
χ614444-4-44-2-444-44-4-4-4-4-2-244-2-222-2-22222-2-4-442-2-242000000000022-2-2000000000000000000000000000000000000000000
χ624444-4-4-244-4-44-2222244-2-24-2-4-4-2-22222-2-2-224-4-4240000000000-2-222000000000000000000000000000000000000000000
χ634444-4-4-2-24-4-44-22222-2-2-2-2-212211-1-1-1-11-2-22-2222-2000000−2i3−2i32i32i311-1-1i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ644444-4-4-2-24-4-44-22222-2-2-2-2-212211-1-1-1-11-2-22-2222-20000002i32i3−2i3−2i311-1-1−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ654444-4-4-2-2-444-4-22222-2-2-2-2-212211-1-1-1-1122-22-2-2-2200−2i3−2i32i32i30000-1-111i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ664444-4-4-2-2-444-4-22222-2-2-2-2-212211-1-1-1-1122-22-2-2-22002i32i3−2i3−2i30000-1-111−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ6744-4-400440000400004-4-4-4-44004-40000-40000000000000000000000000000000022−22000022−2222−220000000000000000000000
χ6844-4-400440000400004-4-4-4-44004-40000-400000000000000000000000000000000−22220000−2222−22220000000000000000000000
χ6944-4-400-240000-2−2i32i3−2i32i34-422-4-200-22−2i32i3−2i32i320000000000000000000000000000000022−22i6−i6i6−i6−22−220000000000000000000000
χ7044-4-400-240000-2−2i32i3−2i32i34-422-4-200-22−2i32i3−2i32i3200000000000000000000000000000000−2222−i6i6−i6i62−22−20000000000000000000000
χ7144-4-400-240000-22i3−2i32i3−2i34-422-4-200-222i3−2i32i3−2i320000000000000000000000000000000022−22−i6i6−i6i6−22−220000000000000000000000
χ7244-4-400-240000-22i3−2i32i3−2i34-422-4-200-222i3−2i32i3−2i3200000000000000000000000000000000−2222i6−i6i6−i62−22−20000000000000000000000
χ734-44-44-44-244-4-4-444-4-4224-4-2-2-2222-2-222-24-4-4-2-22420000000000-22-22000000000000000000000000000000000000000000
χ744-44-44-4-2444-4-42-2-222-4-4-224-24-422-2-222-2-22244-4-2-40000000000-22-22000000000000000000000000000000000000000000
χ754-44-44-4-2-244-4-42-2-22222-22-21-22-1-111-1-11-222-2-22-2200000000001-11-13-3-33-333-30000000000000000000000000000000000
χ764-44-44-4-2-244-4-42-2-22222-22-21-22-1-111-1-11-222-2-22-2200000000001-11-1-333-33-3-330000000000000000000000000000000000
χ774-44-44-4-2-2-4-4442-2-22222-22-21-22-1-111-1-112-2-222-22-24-4-22-22-22-22-11-111-11-11-11-10000000000000000000000000000000000
χ784-44-44-4-2-2-4-4442-2-22222-22-21-22-1-111-1-112-2-222-22-2-442-22-22-22-2-11-11-11-11-11-110000000000000000000000000000000000
χ794-44-4-444-24-44-4-4-4-444224-4-2-22-22222-2-2-24-44-22-2-420000000000-222-2000000000000000000000000000000000000000000
χ804-44-4-44-24-44-44222-2-2-4-4-224-2-442222-2-2-22-22-44-4-2400000000002-2-22000000000000000000000000000000000000000000
χ814-44-4-44-2-24-44-4222-2-222-22-212-2-1-1-1-1111-22-2-22-22200−2i32i32i3−2i300001-1-11i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000
χ824-44-4-44-2-24-44-4222-2-222-22-212-2-1-1-1-1111-22-2-22-222002i3−2i3−2i32i300001-1-11−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000
χ834-44-4-44-2-2-44-44222-2-222-22-212-2-1-1-1-11112-222-22-2-2000000−2i32i32i3−2i3-111-1i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ844-44-4-44-2-2-44-44222-2-222-22-212-2-1-1-1-11112-222-22-2-20000002i3−2i3−2i32i3-111-1−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
χ854-4-4400440000-40000-44-44-4400-440000-4000000000000000000000000000000−2i22i200−2i22i22i2−2i200000000000000000000000000
χ864-4-4400440000-40000-44-44-4400-440000-40000000000000000000000000000002i2−2i2002i2−2i2−2i22i200000000000000000000000000
χ874-4-4400-2400002−2i32i32i3−2i3-442-2-4-2002-2−2i32i32i3−2i32000000000000000000000000000000−2i22i200i2−i2−i2i26−6−660000000000000000000000
χ884-4-4400-2400002−2i32i32i3−2i3-442-2-4-2002-2−2i32i32i3−2i320000000000000000000000000000002i2−2i200−i2i2i2−i2−666−60000000000000000000000
χ894-4-4400-24000022i3−2i3−2i32i3-442-2-4-2002-22i3−2i3−2i32i32000000000000000000000000000000−2i22i200i2−i2−i2i2−666−60000000000000000000000
χ904-4-4400-24000022i3−2i3−2i32i3-442-2-4-2002-22i3−2i3−2i32i320000000000000000000000000000002i2−2i200−i2i2i2−i26−6−660000000000000000000000
χ9188-8-8008-4000080000-44-8-84-400-44000040000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4−4i34i3−4i34i3-444442002-22i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-44i3−4i34i3−4i3-444442002-2−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ948-8-88008-40000-800004-4-884-4004-4000040000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004−4i34i34i3−4i34-44-44200-222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044i3−4i3−4i34i34-44-44200-22−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000

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