Finite Group Databasebeta

← Group #10909533

Character table — Group #10909533

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111111112222222222224444448888888888888888888121216161616161616161616162424242424242424242424242448
order122222223444466666664412121212444888812121212242424242424242422444121212121212121224444444488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111-1-11111-1-1-1-1-1-11
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-111-1-1-1-1111111-1
χ5111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1
χ6111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11
χ7111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-11111-1-111111-1-111-1-1-1-1-1
χ8111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-111111
χ911111111111111111111-1-11111-11111-1-1-1-1-1-11111-1-1-1-111-1-11-1-111-1-111-1-1-11-11111-1-111-1
χ1011111111111111111111-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-111111-11-1-1-1-111-1-11
χ1111111111111111111111-1-11111-111-1-111-1-1-1-1-1-1-1-1111111-11-1-1-1-1-11111-1111-111-1-111-1-1-1
χ1211111111111111111111-1-11111-111-1-111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1-111111-1-1-11-1-111-1-1111
χ1311111111111111111111-1-11111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-1-1111-1-1-1-1-1-1-1111
χ1411111111111111111111-1-11111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-111-1-11-1-1-11111111-1-1-1
χ1511111111111111111111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-111111-1-1-1-1-1-1-11-1-1-11111-1-11
χ1611111111111111111111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-111111-1-1-1-1111-1111-1-1-1-111-1
χ17222222222-2-2-2-2222222222-2-2-2-2-200000022-2-2000000002200000000000-200-22000000000
χ18222222222-2-2-2-2222222222-2-2-2-2-200000022-2-200000000-2-2000000000002002-2000000000
χ19222222222-2-2-2-22222222-2-2-2-2-2-22000000-2-222000000002200000000000200-2-2000000000
χ20222222222-2-2-2-22222222-2-2-2-2-2-22000000-2-22200000000-2-200000000000-20022000000000
χ2122222222-12222-1-1-1-1-1-1-122-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-100222-1-1-1-1-1-1-1-100000000000000
χ2222222222-12222-1-1-1-1-1-1-122-1-1-1-1222-2-2-2-2-1-1-1-111111111002-2-2-1-11111-1-100000000000000
χ2322222222-12222-1-1-1-1-1-1-122-1-1-1-12-2-22222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-21111111100000000000000
χ2422222222-12222-1-1-1-1-1-1-122-1-1-1-12-2-2-2-2-2-2-1-1-1-11111111100-22211-1-1-1-11100000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-22222-2-21111-1-1-1-1111100-2-2211-1-111-1-100000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-222-2-22211111111-1-1-1-100-22-21111-1-1-1-100000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-222-2-21111-1-1-1-111110022-2-1-111-1-11100000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-2-22211111111-1-1-1-1002-22-1-1-1-1111100000000000000
χ2922-22-2-2-22222-2-22-2-22-2-22002-22-2000002i−2i000000002i2i−2i−2i000000000000002i−2i002-20000000
χ3022-22-2-2-22222-2-22-2-22-2-22002-22-2000002i−2i000000002i2i−2i−2i00000000000000−2i2i00-220000000
χ3122-22-2-2-22222-2-22-2-22-2-22002-22-200000−2i2i00000000−2i−2i2i2i000000000000002i−2i00-220000000
χ3222-22-2-2-22222-2-22-2-22-2-22002-22-200000−2i2i00000000−2i−2i2i2i00000000000000−2i2i002-20000000
χ332-2-2-22-2222-22-22-2-2-2-222200-2-22202-20000000000000000000000000002-200000002-2002-20
χ342-2-2-22-2222-22-22-2-2-2-222200-2-22202-20000000000000000000000000002-20000000-2200-220
χ352-2-2-22-2222-22-22-2-2-2-222200-2-2220-22000000000000000000000000000-2200000002-200-220
χ362-2-2-22-2222-22-22-2-2-2-222200-2-2220-22000000000000000000000000000-220000000-22002-20
χ3744444444-2-4-4-4-4-2-2-2-2-2-2-2442222-4000000-2-22200000000000000000000000000000000000
χ3844444444-2-4-4-4-4-2-2-2-2-2-2-2-4-42222400000022-2-200000000000000000000000000000000000
χ39444-4-4-44-44000044-4-44-4-40000000000000000000000000000000000000000000000022−22000
χ40444-4-4-44-44000044-4-44-4-400000000000000000000000000000000000000000000000−2222000
χ4144-44-4-4-444-4-4444-4-44-4-4400-44-440000000000000000000000000000000000000000000000
χ4244-44-4-4-44-244-4-4-222-222-200-22-22000004i−4i00000000−2i−2i2i2i000000000000000000000000000
χ4344-44-4-4-44-244-4-4-222-222-200-22-2200000−4i4i000000002i2i−2i−2i000000000000000000000000000
χ4444-44-4-4-44-2-4-444-222-222-2002-22-2000000000002323−23−230000000000000000000000000000000
χ4544-44-4-4-44-2-4-444-222-222-2002-22-200000000000−23−2323230000000000000000000000000000000
χ4644-4-444-4-4400004-44-4-44-400000000000000000000000004-40000000000000000000000000
χ4744-4-444-4-4400004-44-4-44-40000000000000000000000000-440000000000000000000000000
χ484-4444-4-4-440000-44-44-44-400000000022−2200000022−2222−220000000000000000000000000000000
χ494-4444-4-4-440000-44-44-44-4000000000−2222000000−2222−22220000000000000000000000000000000
χ504-4444-4-4-4-200002-22-22-2200000000022−22000023−23−22−226−66−6000000000000000000000000000
χ514-4444-4-4-4-200002-22-22-2200000000022−220000−2323−22−22−66−66000000000000000000000000000
χ524-4444-4-4-4-200002-22-22-22000000000−2222000023−232−22−2−66−66000000000000000000000000000
χ534-4444-4-4-4-200002-22-22-22000000000−22220000−23232−22−26−66−6000000000000000000000000000
χ544-44-4-44-4444-4-44-444-4-4-44004-4-440000000000000000000000000000000000000000000000
χ554-44-4-44-444-444-4-444-4-4-4400-444-40000000000000000000000000000000000000000000000
χ564-44-4-44-44-24-4-442-2-2222-200-222-20000000000000000000000000023−23000000000000000000
χ574-44-4-44-44-24-4-442-2-2222-200-222-200000000000000000000000000−2323000000000000000000
χ584-44-4-44-44-2-444-42-2-2222-2002-2-22000000000000000000000000000023−230000000000000000
χ594-44-4-44-44-2-444-42-2-2222-2002-2-220000000000000000000000000000−23230000000000000000
χ604-4-44-444-440000-4-4444-4-44i−4i000000000004i−4i0000000000000000000000000000000000000
χ614-4-44-444-440000-4-4444-4-4−4i4i00000000000−4i4i0000000000000000000000000000000000000
χ624-4-44-444-4-2000022-2-2-2224i−4i00000000000−2i2i006−6−66i6−i6−i6i6000000000000000000000000000
χ634-4-44-444-4-2000022-2-2-2224i−4i00000000000−2i2i00−666−6−i6i6i6−i6000000000000000000000000000
χ644-4-44-444-4-2000022-2-2-222−4i4i000000000002i−2i006−6−66−i6i6i6−i6000000000000000000000000000
χ654-4-44-444-4-2000022-2-2-222−4i4i000000000002i−2i00−666−6i6−i6−i6i6000000000000000000000000000
χ664-4-4-44-44444-44-4-4-4-4-44440044-4-40000000000000000000000000000000000000000000000
χ674-4-4-44-444-24-44-42222-2-2-200-2-22200000000000000000000000023−2300000000000000000000
χ684-4-4-44-444-24-44-42222-2-2-200-2-222000000000000000000000000−232300000000000000000000
χ694-4-4-44-444-2-44-442222-2-2-20022-2-204-4000000000000000000000000000-2200000000000000
χ704-4-4-44-444-2-44-442222-2-2-20022-2-20-440000000000000000000000000002-200000000000000
χ71888-8-8-88-8-40000-4-444-4440000000000000000000000000000000000000000000000000000
χ7288-8-888-8-8-40000-44-444-440000000000000000000000000000000000000000000000000000

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