Finite Group Databasebeta

← Group #11872970

Character table — Group #11872970

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order1222334466666634466612121212481212121212122424242424242424222444448888121212121212121212124444446661212122424242444121228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-11-1111-1-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111-1-111-1-1111111-1-1-1-1-11-1-1-1111-1-111-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-1-111-1-1-1111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-111111-1-1-1-11-111
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1111-11-1-111-1-111-11-11
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-111-1-1111111-1-1-1-11-1
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-1-1-1-1-1111-1
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-1-11-111-1-111111-1-11
χ13111111111111111-1-11111111-11-1-1-1-1111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-111111-11-1
χ14111111111111111-1-11111111-11-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-11
χ15111111111111111-1-11111111-11-1-1-1-11111111111-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11
χ16111111111111111-1-11111111-11-1-1-1-11111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-111-111-1
χ17222222-2-2222222200222-2-2-2-2000000-2-200000000002-22-200000022-2-2000000-2-22200002-2000000000000
χ18222222-2-2222222200222-2-2-2-2000000-2-200000000002-2-22000000-2-2-2-200000022-2-2000022000000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-20000000000-222-2000000222200000022-2-20000-2-2000000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-20000000000-22-22000000-2-222000000-2-2220000-22000000000000
χ2122222-122-1-122-12-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-122220000002200-1-1-12-1-1-1-1000020-1-1-1000-1-10000-1000
χ2222222-122-1-122-12-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-1-2-2-2-2000000-2-20011-12-1-1-1-10000-201110001100001000
χ2322222-122-1-122-12-122-1-1-12-1-12-2-222-1-1-1-111-2-211112222000000-2-200-1-11-211-1-10000-20-1-1-10001100001000
χ2422222-122-1-122-12-122-1-1-12-1-12-2-222-1-1-1-111-2-21111-2-2-2-20000002200111-211-1-1000020111000-1-10000-1000
χ2522222-122-1-122-12-1-2-2-1-1-12-1-122-2-2-211-1-111-2-2111122-2-2000000220011-12-1-1110000-20-1-11000-1-100001000
χ2622222-122-1-122-12-1-2-2-1-1-12-1-122-2-2-211-1-111-2-21111-2-222000000-2-200-1-1-12-1-11100002011-1000110000-1000
χ2722222-122-1-122-12-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-122-2-2000000-2-200111-21111000020-1-11000110000-1000
χ2822222-122-1-122-12-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-1-2-2220000002200-1-11-211110000-2011-1000-1-100001000
χ292222-122222-1-12-1-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-1000022222200-1-1002-1-1-1-1-1000002000-1-1-100-1-1000-100
χ302222-122222-1-12-1-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-10000-2-2-2-2-2-20011002-1-1-1-1-100000-20001110011000100
χ312222-122222-1-12-1-122-1-1-1-122-1-2-2-1-122-1-1-2-211111100002222-2-200-1-100-2111-1-100000-2000-1-1-10011000100
χ322222-122222-1-12-1-122-1-1-1-122-1-2-2-1-122-1-1-2-21111110000-2-2-2-222001100-2111-1-100000200011100-1-1000-100
χ332222-122222-1-12-1-1-2-2-1-1-1-122-12-211-2-2-1-1-2-2111111000022-2-2-2-200-1-1002-1-1-111000002000-1110011000-100
χ342222-122222-1-12-1-1-2-2-1-1-1-122-12-211-2-2-1-1-2-21111110000-2-222220011002-1-1-11100000-20001-1-100-1-1000100
χ352222-122222-1-12-1-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-1000022-2-22200-1-100-21111100000-2000-11100-1-1000100
χ362222-122222-1-12-1-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-10000-2-222-2-2001100-2111110000020001-1-10011000-100
χ3722-2-2222-2-2-22-22-2200-2-22-22-22000000-22000000002-200002i−2i000000000000002i−2i2i−2i002-2002i−2i0000000000
χ3822-2-2222-2-2-22-22-2200-2-22-22-22000000-22000000002-20000−2i2i00000000000000−2i2i−2i2i002-200−2i2i0000000000
χ3922-2-2222-2-2-22-22-2200-2-22-22-22000000-2200000000-2200002i−2i00000000000000−2i2i−2i2i00-22002i−2i0000000000
χ4022-2-2222-2-2-22-22-2200-2-22-22-22000000-2200000000-220000−2i2i000000000000002i−2i2i−2i00-2200−2i2i0000000000
χ4122-2-222-22-2-22-22-222-2-2-222-22-2002-22-22-200000000000000000000000000002-22i−2i−2i2i0000000000002i−2i0000
χ4222-2-222-22-2-22-22-222-2-2-222-22-2002-22-22-200000000000000000000000000002-2−2i2i2i−2i000000000000−2i2i0000
χ4322-2-222-22-2-22-22-22-22-2-222-22-200-22-222-20000000000000000000000000000-222i−2i−2i2i000000000000−2i2i0000
χ4422-2-222-22-2-22-22-22-22-2-222-22-200-22-222-20000000000000000000000000000-22−2i2i2i−2i0000000000002i−2i0000
χ4544444-2-4-4-2-244-24-200-2-2-2-422-40000002200000000004-400000000002200000000000000-20000000000000
χ4644444-2-4-4-2-244-24-200-2-2-2-422-4000000220000000000-440000000000-2-20000000000000020000000000000
χ474444-24-4-444-2-24-2-200-2-2-22-4-42000000220000000000004-4000000-2-2000000000000000002000000000000
χ484444-24-4-444-2-24-2-200-2-2-22-4-4200000022000000000000-440000002200000000000000000-2000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-211-2-2-2-211110000000000000000-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-2112222-1-1-1-1000000000000000022-1-1110000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222112222-1-1-1-10000000000000000-2-211-1-10000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-44222211-2-2-2-21111000000000000000022-1-1-1-10000000000000000000000
χ5344-4-44-24-4224-4-2-4-20022-2-4-2240000002-2000000004-400000000000000000000000000-2200000000000000
χ5444-4-44-24-4224-4-2-4-20022-2-4-2240000002-200000000-44000000000000000000000000002-200000000000000
χ5544-4-44-2-44224-4-2-4-24-422-242-2-4004-4-22-220000000000000000000000000000-220000000000000000000000
χ5644-4-44-2-44224-4-2-4-2-4422-242-2-400-442-2-2200000000000000000000000000002-20000000000000000000000
χ5744-4-4-244-4-4-4-2242-20022-224-4-20000002-2000000000000004i−4i000000000000000000000000−2i2i0000000000
χ5844-4-4-244-4-4-4-2242-20022-224-4-20000002-200000000000000−4i4i0000000000000000000000002i−2i0000000000
χ5944-4-4-24-44-4-4-2242-24-422-2-2-44200-224-4-220000000000000000000000000000-220000000000000000000000
χ6044-4-4-24-44-4-4-2242-2-4422-2-2-442002-2-44-2200000000000000000000000000002-20000000000000000000000
χ6144-4-4-2-2-4422-22-2214-4-1-11-22-2200-22-221-100003i3i−3i−3i0000000000000000003i−3i1-10000000000000000000000
χ6244-4-4-2-2-4422-22-2214-4-1-11-22-2200-22-221-10000−3i−3i3i3i000000000000000000−3i3i1-10000000000000000000000
χ6344-4-4-2-2-4422-22-221-44-1-11-22-22002-22-21-100003i3i−3i−3i000000000000000000−3i3i-110000000000000000000000
χ6444-4-4-2-2-4422-22-221-44-1-11-22-22002-22-21-10000−3i−3i3i3i0000000000000000003i−3i-110000000000000000000000
χ654-44-444004-4-44-4-44004-4-4000000000000000000000000000022−220000000000000000000000000022−22000000
χ664-44-444004-4-44-4-44004-4-40000000000000000000000000000−222200000000000000000000000000−2222000000
χ674-44-4-24004-42-2-42-200-22200000000000000i6−i6i6−i6i6−i60000000022−2200−2i32i30000000000000000000000−22000000
χ684-44-4-24004-42-2-42-200-22200000000000000i6−i6i6−i6i6−i600000000−2222002i3−2i300000000000000000000002−2000000
χ694-44-4-24004-42-2-42-200-22200000000000000−i6i6−i6i6−i6i60000000022−22002i3−2i30000000000000000000000−22000000
χ704-44-4-24004-42-2-42-200-22200000000000000−i6i6−i6i6−i6i600000000−222200−2i32i300000000000000000000002−2000000
χ714-4-444400-44-4-4-44400-44-400000000000000000000000000000022−22000000000000000000000022−2200000000
χ724-4-444400-44-4-4-44400-44-4000000000000000000000000000000−22220000000000000000000000−222200000000
χ734-4-444-2002-2-4-424-2002-220000000000006−6006−6−66000000000022−220023−23000000000000000000−2200000000
χ744-4-444-2002-2-4-424-2002-220000000000006−6006−6−660000000000−222200−23230000000000000000002−200000000
χ754-4-444-2002-2-4-424-2002-22000000000000−6600−666−6000000000022−2200−2323000000000000000000−2200000000
χ764-4-444-2002-2-4-424-2002-22000000000000−6600−666−60000000000−22220023−230000000000000000002−200000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-4-48-844-44-44200-2-224-44-4000000-220000000000000000000000000000000000000000000000000000
χ798-88-88-400-44-884-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-400-444-4442002-2-2000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000000
χ818-88-8-4-400-444-4442002-2-200000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000000
χ828-8-88-4800-8844-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-4444-4200-22-200000000000026−2600−666−600000000000000000000000000000000000000000000
χ848-8-88-4-4004-4444-4200-22-2000000000000−2626006−6−6600000000000000000000000000000000000000000000

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