Finite Group Databasebeta

← Group #11872829

Character table — Group #11872829

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order122233446666662236661212121246666812122424242424242424222444446688881212661212121244444466121212122424242444121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1111-11-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-111-1-111111111-1-1-1-11-1-1-11-111-1-111-1-1-11-1-1
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
χ5111111111111111111111111-11111-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-11111-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-111-11-1-1-1-111-1-1-1111
χ7111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-11111-1-1-1-11-111
χ8111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ911111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-1111111-1-1-1-11-1
χ1011111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11-1111-1-1-111-1-111-11-11
χ1111111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1111-1-111111-1-11
χ1211111111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111111111-1-111-1-1-1-1-1-1-1-1111-1
χ1311111111111111-1-111111111-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-11
χ1411111111111111-1-111111111-1-1-1-1-11111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-11-1
χ1511111111111111-1-111111111-1-1-1-1-111111111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-111-111-1
χ1611111111111111-1-111111111-1-1-1-1-111111111111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11
χ17222222-2-2222222002222-2-2-2-2000000-2-200000000002-2002-222000022000000-2-2220000-2-2000000000000
χ18222222-2-2222222002222-2-2-2-2000000-2-200000000002-200-22220000-2-200000022-2-200002-2000000000000
χ19222222-2-2222222002222-2-2-2-2000000-2-20000000000-22002-2-2-200002200000022-2-20000-22000000000000
χ20222222-2-2222222002222-2-2-2-2000000-2-20000000000-2200-22-2-20000-2-2000000-2-222000022000000000000
χ2122222-122-12-1-12222-1-1-1-12-1-12222-1-12-1-1-1-122-1-1-1-122220000-1-1002200-1-1-12-1-1000002-1-10-100-1-10000-1000
χ2222222-122-12-1-12222-1-1-1-12-1-12222-1-12-1-1-1-122-1-1-1-1-2-2-2-200001100-2-200-1-1-12-1-100000-21101001100001000
χ2322222-122-12-1-12222-1-1-1-12-1-12-222-1-1-2-1-111-2-2111122220000-1-100-2-200-1-11-21100000-2-1-10-1001100001000
χ2422222-122-12-1-12222-1-1-1-12-1-12-222-1-1-2-1-111-2-21111-2-2-2-2000011002200-1-11-211000002110100-1-10000-1000
χ2522222-122-12-1-122-2-2-1-1-1-12-1-122-2-211-2-1-111-2-2111122-2-200001100220011-12-1-100000-2-1-10100-1-100001000
χ2622222-122-12-1-122-2-2-1-1-1-12-1-122-2-211-2-1-111-2-21111-2-2220000-1-100-2-20011-12-1-1000002110-100110000-1000
χ2722222-122-12-1-122-2-2-1-1-1-12-1-12-2-2-2112-1-1-1-122-1-1-1-122-2-200001100-2-200111-211000002-1-10100110000-1000
χ2822222-122-12-1-122-2-2-1-1-1-12-1-12-2-2-2112-1-1-1-122-1-1-1-1-2-2220000-1-1002200111-21100000-2110-100-1-100001000
χ292222-12222-122-1-122-1-1-1-1-122-12-1-1222-1-122-1-1-1-1-1-100002222002200-1-1-1-12-1-1-100002000-10-1-100-1-1000-100
χ302222-12222-122-1-122-1-1-1-1-122-12-1-1222-1-122-1-1-1-1-1-10000-2-2-2-200-2-20011-1-12-1-1-10000-200010110011000100
χ312222-12222-122-1-122-1-1-1-1-122-1-2-1-122-2-1-1-2-21111110000222200-2-200-1-1-1-1-21110000-2000-10-1-10011000100
χ322222-12222-122-1-122-1-1-1-1-122-1-2-1-122-2-1-1-2-21111110000-2-2-2-200220011-1-1-211100002000101100-1-1000-100
χ332222-12222-122-1-1-2-2-1-1-1-1-122-1211-2-2-2-1-1-2-2111111000022-2-200220011112-1-1-10000-200010-1-100-1-1000100
χ342222-12222-122-1-1-2-2-1-1-1-1-122-1211-2-2-2-1-1-2-21111110000-2-22200-2-200-1-1112-1-1-100002000-10110011000-100
χ352222-12222-122-1-1-2-2-1-1-1-1-122-1-211-2-22-1-122-1-1-1-1-1-1000022-2-200-2-2001111-21110000200010-1-10011000-100
χ362222-12222-122-1-1-2-2-1-1-1-1-122-1-211-2-22-1-122-1-1-1-1-1-10000-2-222002200-1-111-21110000-2000-101100-1-1000100
χ3722-2-2222-2-2-22-22-22-22-2-22-22-2202-22-20-220000000000000000000000002-200002i−2i2i−2i0000000000002i−2i0000
χ3822-2-2222-2-2-22-22-22-22-2-22-22-2202-22-20-220000000000000000000000002-20000−2i2i−2i2i000000000000−2i2i0000
χ3922-2-2222-2-2-22-22-2-222-2-22-22-220-22-220-22000000000000000000000000-2200002i−2i2i−2i000000000000−2i2i0000
χ4022-2-2222-2-2-22-22-2-222-2-22-22-220-22-220-22000000000000000000000000-220000−2i2i−2i2i0000000000002i−2i0000
χ4122-2-222-22-2-22-22-2002-2-222-22-20000002-2000000002-2002i−2i00000000000000002i−2i−2i2i002-2002i−2i0000000000
χ4222-2-222-22-2-22-22-2002-2-222-22-20000002-2000000002-200−2i2i0000000000000000−2i2i2i−2i002-200−2i2i0000000000
χ4322-2-222-22-2-22-22-2002-2-222-22-20000002-200000000-22002i−2i0000000000000000−2i2i2i−2i00-22002i−2i0000000000
χ4422-2-222-22-2-22-22-2002-2-222-22-20000002-200000000-2200−2i2i00000000000000002i−2i−2i2i00-2200−2i2i0000000000
χ4544444-2-4-4-24-2-24400-2-2-2-2-422-40000002200000000004-40000-2-20000000000000000000002000000000000
χ4644444-2-4-4-24-2-24400-2-2-2-2-422-4000000220000000000-44000022000000000000000000000-2000000000000
χ474444-24-4-44-244-2-200-2-2-2-22-4-4200000022000000000000004-4000000-2-20000000000000020000000000000
χ484444-24-4-44-244-2-200-2-2-2-22-4-420000002200000000000000-440000002200000000000000-20000000000000
χ494444-2-244-2-2-2-2-2-2441111-2-2-2-24-2-2-2-2411-2-2-2-21111000000000000000011-2-2110000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-2-2-2-2-4-2-2-2-2-4112222-1-1-1-100000000000000001122-1-10000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-41111-2-2-2-242222-4112222-1-1-1-10000000000000000-1-1-2-2110000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2-42222411-2-2-2-211110000000000000000-1-122-1-10000000000000000000000
χ5344-4-44-24-42-4-224-44-4-222-2-4-22404-4-2202-2000000000000000000000000-2200000000000000000000000000
χ5444-4-44-24-42-4-224-4-44-222-2-4-2240-442-202-20000000000000000000000002-200000000000000000000000000
χ5544-4-44-2-442-4-224-400-222-242-2-4000000-22000000004-400000000000000000000000000-2200000000000000
χ5644-4-44-2-442-4-224-400-222-242-2-4000000-2200000000-44000000000000000000000000002-200000000000000
χ5744-4-4-244-4-424-4-224-4-222-224-4-20-224-402-2000000000000000000000000-2200000000000000000000000000
χ5844-4-4-244-4-424-4-22-44-222-224-4-202-2-4402-20000000000000000000000002-200000000000000000000000000
χ5944-4-4-24-44-424-4-2200-222-2-2-442000000-220000000000004i−4i00000000000000000000000000−2i2i0000000000
χ6044-4-4-24-44-424-4-2200-222-2-2-442000000-22000000000000−4i4i000000000000000000000000002i−2i0000000000
χ6144-4-4-2-24-422-22-224-41-1-112-22-20-22-220-11000033-3-300000000000000001-1003-30000000000000000000000
χ6244-4-4-2-24-422-22-224-41-1-112-22-20-22-220-110000-3-33300000000000000001-100-330000000000000000000000
χ6344-4-4-2-24-422-22-22-441-1-112-22-202-22-20-11000033-3-30000000000000000-1100-330000000000000000000000
χ6444-4-4-2-24-422-22-22-441-1-112-22-202-22-20-110000-3-3330000000000000000-11003-30000000000000000000000
χ654-44-44400-4-4-44-440044-4-4000000000000000000000000000000−2i22i2000000000000000000000000−2i22i2000000
χ664-44-44400-4-4-44-440044-4-40000000000000000000000000000002i2−2i20000000000000000000000002i2−2i2000000
χ674-44-4-2400-42-442-200-2-222000000000000006−66−66−60000000000−2i22i200−2i32i300000000000000000000i2−i2000000
χ684-44-4-2400-42-442-200-2-222000000000000006−66−66−600000000002i2−2i2002i3−2i300000000000000000000−i2i2000000
χ694-44-4-2400-42-442-200-2-22200000000000000−66−66−660000000000−2i22i2002i3−2i300000000000000000000i2−i2000000
χ704-44-4-2400-42-442-200-2-22200000000000000−66−66−6600000000002i2−2i200−2i32i300000000000000000000−i2i2000000
χ714-4-44440044-4-4-4-4004-44-400000000000000000000000000000000−2i22i200000000000000000000−2i22i200000000
χ724-4-44440044-4-4-4-4004-44-4000000000000000000000000000000002i2−2i2000000000000000000002i2−2i200000000
χ734-4-444-200-2422-4-400-22-220000000000006−6006−6−6600000000−2i32i300−2i22i200000000000000000000i2−i200000000
χ744-4-444-200-2422-4-400-22-220000000000006−6006−6−66000000002i3−2i3002i2−2i200000000000000000000−i2i200000000
χ754-4-444-200-2422-4-400-22-22000000000000−6600−666−600000000−2i32i3002i2−2i200000000000000000000−i2i200000000
χ764-4-444-200-2422-4-400-22-22000000000000−6600−666−6000000002i3−2i300−2i22i200000000000000000000i2−i200000000
χ778888-4-4-8-8-4-4-4-4-4-40022224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4-8844-44-44002-2-22-44-440000002-20000000000000000000000000000000000000000000000000000
χ798-88-88-4004-84-4-8800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-400444-44-40022-2-20000000000000026−26−66−6600000000000000000000000000000000000000000000
χ818-88-8-4-400444-44-40022-2-200000000000000−26266−66−600000000000000000000000000000000000000000000
χ828-8-88-48008-4-8-84400-44-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-4-44444002-22-200000000000026−2600−666−600000000000000000000000000000000000000000000
χ848-8-88-4-400-4-44444002-22-2000000000000−2626006−6−6600000000000000000000000000000000000000000000

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