Finite Group Databasebeta

← Group #11882213

Character table — Group #11882213

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444446666668888888888881212121212121212121212121212121616161616161618182424242424242424243636364848487272
order1222334466666636668812121212242424242244444412121212242424242424466888812121212242424241212121212121244222466122424488661224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1
χ311111111111111111111111111111111-1-1111111111111-11111-1-111-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-111111111-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111-1-1-1-1111111111111111-1-1-1-111-1-111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-11-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1-1111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-111
χ71111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-11111111-11111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11-1-111-1-1111-11-1111-1-11-1-11-1-1-11
χ10111111111111111111-1-11111-1-1-1-1111111-11-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-111-1-11111-11-11-1-11-1-11-1-1-1111-1
χ11111111111111111111-1-11111-1-1-1-11111-1-11-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-111-1-1-1-11-1-11-1-1-111-1111-111-1
χ12111111111111111111-1-11111-1-1-1-11111-1-1-11-1-111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-111-1-1-111-111-111-111-11-1-11
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-11-1-111-1-1-1-11111111-1-111-1-1-1-1-111-1111-1-1-111-11-11-1
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1-1-11-1-111-1-1-1-1111111-111-1-111-1-11-1-11-1-11-1-1-1111-11-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-111-11-11-1-1-1111-1-1-111-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111111-11-111-1111-1-11-1-11-1
χ17222222-2-2222222222200-2-2-2-2000022-2-2220000-2-2000000-2220000-2-2220000000000022000000-200-20000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-20000-2-20000002220000-2-2-2-200000000000-2-200000020020000000
χ19222222-2-2222222222200-2-2-2-20000-2-222220000-2-2000000-2-2-20000222200000000000-2-2000000-20020000000
χ20222222-2-2222222222200-2-2-2-20000-2-222-2-20000-2-20000002-2-2000022-2-20000000000022000000200-20000000
χ2122222-122-122-1-12-1-1-1-1222-12-1-1-1-1-12222002222-1-122-1-1-1-10-1-12200-1-100-1-1-1-1-1-12-1-1-1-100220000000000-1-1000
χ2222222-122-122-1-12-1-1-1-1222-12-1-1-1-1-1222200-2-2-2-2-1-122-1-1-1-10-1-12200-1-100-1-1-1-111-2111100-2-2000000000011000
χ2322222-122-122-1-12-1-1-1-1222-12-1-1-1-1-1-2-2-2-2002222-1-122-1-1-1-1011-2-20011001111-1-12-1-1-1-100-2-2000000000011000
χ2422222-122-122-1-12-1-1-1-1222-12-1-1-1-1-1-2-2-2-200-2-2-2-2-1-122-1-1-1-1011-2-2001100111111-2111100220000000000-1-1000
χ2522222-122-122-1-12-1-1-1-1-2-22-12-111112222002-222-1-1-2-211110-1-1-2-200-1-1001111-11-2-1-111002-20000000000-11000
χ2622222-122-122-1-12-1-1-1-1-2-22-12-11111222200-22-2-2-1-1-2-211110-1-1-2-200-1-10011111-1211-1-100-2200000000001-1000
χ2722222-122-122-1-12-1-1-1-1-2-22-12-11111-2-2-2-2002-222-1-1-2-2111101122001100-1-1-1-1-11-2-1-11100-2200000000001-1000
χ2822222-122-122-1-12-1-1-1-1-2-22-12-11111-2-2-2-200-22-2-2-1-1-2-2111101122001100-1-1-1-11-1211-1-1002-20000000000-11000
χ292222-12222-1-122-1-1-1-1-122-12-12222200002222-1-1-1-1-1-1-1-1-1-1200002200-1-1000022-1-1-1-1-1000022-1-1-1-1-100000-100
χ302222-12222-1-122-1-1-1-1-122-12-122222000022-2-211-1-1-1-1-1-1-1-1200002200-1-10000-2-2111110000-2-211-1-1-100000100
χ312222-12222-1-122-1-1-1-1-122-12-1222220000-2-222-1-1-1-1-1-1-1-1-1-1-20000-2-20011000022-1-1-1-1-10000-2-21111100000100
χ322222-12222-1-122-1-1-1-1-122-12-1222220000-2-2-2-211-1-1-1-1-1-1-1-1-20000-2-200110000-2-211111000022-1-111100000-100
χ332222-12222-1-122-1-1-1-1-1-2-2-12-12-2-2-2-20000222-2-1-1-1-111111120000-2-200-1-100002-21-1-11100002-2-1-1-11100000100
χ342222-12222-1-122-1-1-1-1-1-2-2-12-12-2-2-2-2000022-2211-1-111111120000-2-200-1-10000-22-111-1-10000-2211-11100000-100
χ352222-12222-1-122-1-1-1-1-1-2-2-12-12-2-2-2-20000-2-22-2-1-1-1-1111111-2000022001100002-21-1-1110000-22111-1-100000-100
χ362222-12222-1-122-1-1-1-1-1-2-2-12-12-2-2-2-20000-2-2-2211-1-1111111-200002200110000-22-111-1-100002-2-1-11-1-100000100
χ372-2-222200-2-2-22-222-2-222−2000022−2−22-2002-20000002−222−2−202-22−22−2002-222−2−200000002-200000002−202−200000
χ382-2-222200-2-2-22-222-2-222−2000022−2−22-200-220000002−222−2−202-22−2−2200-2222−2−20000000-220000000−220−2200000
χ392-2-222200-2-2-22-222-2-222−2000022−2−2-22002-20000002−222−2−20-22−222−2002-2−2−2220000000-2200000002−20−2200000
χ402-2-222200-2-2-22-222-2-222−2000022−2−2-2200-220000002−222−2−20-22−22−2200-22−2−22200000002-20000000−2202−200000
χ412-2-222200-2-2-22-222-2-22−220000−2−2222-2002-2000000−22−2−22202-2−22−22002-2−2−22200000002-20000000−220−2200000
χ422-2-222200-2-2-22-222-2-22−220000−2−2222-200-22000000−22−2−22202-2−222−200-22−2−2220000000-2200000002−202−200000
χ432-2-222200-2-2-22-222-2-22−220000−2−222-22002-2000000−22−2−2220-222−2−22002-222−2−20000000-220000000−2202−200000
χ442-2-222200-2-2-22-222-2-22−220000−2−222-2200-22000000−22−2−2220-222−22−200-2222−2−200000002-200000002−20−2200000
χ4544444-2-4-4-244-2-24-2-2-2-200-42-42000044-4-4000000220000000-2-200002200000000000000000000000000000000
χ4644444-2-4-4-244-2-24-2-2-2-200-42-420000-4-444000000220000000220000-2-200000000000000000000000000000000
χ474444-24-4-44-2-244-2-2-2-2-2002-42-40000000044000022000000-400000000-2-2000000000000000000020000000000
χ484444-24-4-44-2-244-2-2-2-2-2002-42-400000000-4-4000022000000400000000220000000000000000000-20000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-211-2-21111000000000000000-2-2-211110000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-42211-2-21111000000000000000222-1-1-1-10000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-21122-1-1-1-1000000000000000-22211-1-10000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44221122-1-1-1-10000000000000002-2-2-1-1110000000000000000000
χ5344-4-4444-4-44-4-44-44-44-40044-4-4000000000000004-400000000000000000000000000000000000000000000000
χ5444-4-444-44-44-4-44-44-44-400-4-44400000000000000-4400000000000000000000000000000000000000000000000
χ5544-4-44-24-424-42-2-4-22-22004-2-4200000000000000-220000000000000000023−2323−2300000000000000000000000000
χ5644-4-44-24-424-42-2-4-22-22004-2-4200000000000000-2200000000000000000−2323−232300000000000000000000000000
χ5744-4-44-2-4424-42-2-4-22-2200-424-2−2i32i3−2i32i300000000002-200−2i32i3−2i32i300000000000000000000000000000000000000000
χ5844-4-44-2-4424-42-2-4-22-2200-424-22i3−2i32i3−2i300000000002-2002i3−2i32i3−2i300000000000000000000000000000000000000000
χ5944-4-4-244-4-4-22-442-22-2200-242-400000000000000-220000000000000000000000000000000000−2i32i300000000000
χ6044-4-4-244-4-4-22-442-22-2200-242-400000000000000-2200000000000000000000000000000000002i3−2i300000000000
χ6144-4-4-24-44-4-22-442-22-22002-4-2400000000000023−232-200000000000000000000000023−23000000000000000000000
χ6244-4-4-24-44-4-22-442-22-22002-4-24000000000000−23232-2000000000000000000000000−2323000000000000000000000
χ6344-4-4-2-2-442-222-221-11-10022-2-2−2i32i3−2i32i30000000023−23-1100i3−i3i3−i3000000000000000000−333i−3i0000000000000000000
χ6444-4-4-2-2-442-222-221-11-10022-2-2−2i32i3−2i32i300000000−2323-1100i3−i3i3−i30000000000000000003−3−3i3i0000000000000000000
χ6544-4-4-2-2-442-222-221-11-10022-2-22i3−2i32i3−2i30000000023−23-1100−i3i3−i3i3000000000000000000−33−3i3i0000000000000000000
χ6644-4-4-2-2-442-222-221-11-10022-2-22i3−2i32i3−2i300000000−2323-1100−i3i3−i3i30000000000000000003−33i−3i0000000000000000000
χ674-44-444004-44-4-4-444-4-40000000000004i−4i0000000000000000000004i−4i00000000000000000000000000000000
χ684-44-444004-44-4-4-444-4-4000000000000−4i4i000000000000000000000−4i4i00000000000000000000000000000000
χ694-44-44-200-2-4422-4-2-222000000i6−i6−i6i6004i−4i0000000000i6−i6−i6i60000000−2i2i006−6−6600000000000000000000000000
χ704-44-44-200-2-4422-4-2-222000000i6−i6−i6i600−4i4i0000000000i6−i6−i6i600000002i−2i00−666−600000000000000000000000000
χ714-44-44-200-2-4422-4-2-222000000−i6i6i6−i6004i−4i0000000000−i6i6i6−i60000000−2i2i00−666−600000000000000000000000000
χ724-44-44-200-2-4422-4-2-222000000−i6i6i6−i600−4i4i0000000000−i6i6i6−i600000002i−2i006−6−6600000000000000000000000000
χ734-4-444-2002-4-4-224-222-222−220000−2−2224-4000000000022−22−2−2220-2222−22000000−2−22200000000000000000000000000
χ744-4-444-2002-4-4-224-222-222−220000−2−222-44000000000022−22−2−22202-2−222200000022−2−200000000000000000000000000
χ754-4-444-2002-4-4-224-222-2−2222000022−2−24-40000000000−222222−2−20-22−222200000022−2−200000000000000000000000000
χ764-4-444-2002-4-4-224-222-2−2222000022−2−2-440000000000−222222−2−202-222−22000000−2−22200000000000000000000000000
χ774-4-44-2400-4224-4-2-222-222−2200002222−22−2200004-4000000−22−2−2220000022−2200-2200000000000000000000−2200000000
χ784-4-44-2400-4224-4-2-222-222−2200002222−22−220000-44000000−22−2−22200000−2222002-2000000000000000000002−200000000
χ794-4-44-2400-4224-4-2-222-2−22220000−22−22222200004-40000002−222−2−200000−222200-22000000000000000000002−200000000
χ804-4-44-2400-4224-4-2-222-2−22220000−22−2222220000-440000002−222−2−20000022−22002-200000000000000000000−2200000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-8-4-48-84-444-442-22-200-4-444000000000000002-200000000000000000000000000000000000000000000000
χ838-88-8-480084-4-8-84-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400-44-444422-2-20000002i6−2i6−2i62i600000000000000−i6i6i6−i600000000000000000000000000000000000000000
χ858-88-8-4-400-44-444422-2-2000000−2i62i62i6−2i600000000000000i6−i6−i6i600000000000000000000000000000000000000000
χ868-8-88-4-400444-44-42-2-2242−420000−22−222222000000000000−222222−2−200000000000000000000000000000000000000000
χ878-8-88-4-400444-44-42-2-22−424200002222−22−2200000000000022−22−2−22200000000000000000000000000000000000000000

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