Finite Group Databasebeta

← Group #10898383

Character table — Group #10898383

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11111111222222222222444444444444444444444444444444444444444488881212121216161616161616161616242424242424242424244848
order1222222234444666666644448888888812121212121212121212121224242424242424242424242424242424224444444466121212121212444444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1
χ911111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-111-1-1-1-11111-1-11-1
χ1011111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-111-11
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-11111-1-1-1-111-1-111-1-1-11
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-111-1-111-1-1111-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1111-1-111-1-1-1-1-1-111-1-111-11
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1111-1-111-1-11111-1-111-1-11-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111111-1-1-111-1-111-1-111-1-1-1-1111-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11-1-1-111-1-11111-1-11111-1-1-11
χ17222222222-2-2-2-2222222222-2-2000000002222-2-2-2-2-2-2-2-20000000000000000000022-2-200000000002-20000000000
χ18222222222-2-2-2-2222222222-2-2000000002222-2-2-2-2-2-2-2-200000000000000000000-2-2220000000000-220000000000
χ19222222222-2-2-2-22222222-2-22200000000-2-2-2-22222-2-2-2-20000000000000000000022-2-20000000000-220000000000
χ20222222222-2-2-2-22222222-2-22200000000-2-2-2-22222-2-2-2-200000000000000000000-2-22200000000002-20000000000
χ2122222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-1-1-1000000000000
χ2222222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-211111111000000000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122220000-2-2-1-1-1-11111000000000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-20000221111-1-1-1-1000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-11111111122-2-200002-2-1-11111-1-1000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2220000-2211-1-1-1-111000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-122-2-20000-22-1-111-1-111000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-22200002-211-1-111-1-1000000000000
χ292222-2-2-2-222-22-2-2-2-2-22220000000022-2-2000000002-22-2000000002222-2-2-2-200002i−2i2i−2i0000000000000000002i−2i00
χ302222-2-2-2-222-22-2-2-2-2-22220000000022-2-2000000002-22-2000000002222-2-2-2-20000−2i2i−2i2i000000000000000000−2i2i00
χ312222-2-2-2-222-22-2-2-2-2-222200000000-2-222000000002-22-200000000-2-2-2-2222200002i−2i2i−2i000000000000000000−2i2i00
χ322222-2-2-2-222-22-2-2-2-2-222200000000-2-222000000002-22-200000000-2-2-2-222220000−2i2i−2i2i0000000000000000002i−2i00
χ332222-2-2-2-22-22-22-2-2-2-2222000022-2-2000000000000-22-222222-2-2-2-20000000000002i−2i−2i2i00000000000000002i−2i0000
χ342222-2-2-2-22-22-22-2-2-2-2222000022-2-2000000000000-22-222222-2-2-2-2000000000000−2i2i2i−2i0000000000000000−2i2i0000
χ352222-2-2-2-22-22-22-2-2-2-22220000-2-222000000000000-22-22-2-2-2-222220000000000002i−2i−2i2i0000000000000000−2i2i0000
χ362222-2-2-2-22-22-22-2-2-2-22220000-2-222000000000000-22-22-2-2-2-22222000000000000−2i2i2i−2i00000000000000002i−2i0000
χ3722-2-2-2-22222-2-2222-2-2-2-222i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i2-2-2200000000000000002-22i−2i0000002-22i−2i0000000000000000
χ3822-2-2-2-22222-2-2222-2-2-2-222i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i2-2-220000000000000000-22−2i2i000000-22−2i2i0000000000000000
χ3922-2-2-2-22222-2-2222-2-2-2-22−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i2-2-2200000000000000002-2−2i2i0000002-2−2i2i0000000000000000
χ4022-2-2-2-22222-2-2222-2-2-2-22−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i2-2-220000000000000000-222i−2i000000-222i−2i0000000000000000
χ4122-2-2-2-2222-222-222-2-2-2-222i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i-222-20000000000000000000000000000000000002i−2i2-2000000
χ4222-2-2-2-2222-222-222-2-2-2-222i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i-222-2000000000000000000000000000000000000−2i2i-22000000
χ4322-2-2-2-2222-222-222-2-2-2-22−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i-222-20000000000000000000000000000000000002i−2i-22000000
χ4422-2-2-2-2222-222-222-2-2-2-22−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i-222-2000000000000000000000000000000000000−2i2i2-2000000
χ4522-2-2-2-222-12-2-22-1-11111-12i−2i2i−2i00000000−i−iii−i−iii-111-1−i3−i3i3i3−i3−i3i3i333−3−333−3−32-22i−2i000000-11−ii3−3−i3i3000000000000
χ4622-2-2-2-222-12-2-22-1-11111-12i−2i2i−2i00000000−i−iii−i−iii-111-1−i3−i3i3i3−i3−i3i3i333−3−333−3−3-22−2i2i0000001-1i−i−33i3−i3000000000000
χ4722-2-2-2-222-12-2-22-1-11111-12i−2i2i−2i00000000−i−iii−i−iii-111-1i3i3−i3−i3i3i3−i3−i3−3−333−3−3332-22i−2i000000-11−ii−33i3−i3000000000000
χ4822-2-2-2-222-12-2-22-1-11111-12i−2i2i−2i00000000−i−iii−i−iii-111-1i3i3−i3−i3i3i3−i3−i3−3−333−3−333-22−2i2i0000001-1i−i3−3−i3i3000000000000
χ4922-2-2-2-222-12-2-22-1-11111-1−2i2i−2i2i00000000ii−i−iii−i−i-111-1−i3−i3i3i3−i3−i3i3i3−3−333−3−3332-2−2i2i000000-11i−i−33−i3i3000000000000
χ5022-2-2-2-222-12-2-22-1-11111-1−2i2i−2i2i00000000ii−i−iii−i−i-111-1−i3−i3i3i3−i3−i3i3i3−3−333−3−333-222i−2i0000001-1−ii3−3i3−i3000000000000
χ5122-2-2-2-222-12-2-22-1-11111-1−2i2i−2i2i00000000ii−i−iii−i−i-111-1i3i3−i3−i3i3i3−i3−i333−3−333−3−32-2−2i2i000000-11i−i3−3i3−i3000000000000
χ5222-2-2-2-222-12-2-22-1-11111-1−2i2i−2i2i00000000ii−i−iii−i−i-111-1i3i3−i3−i3i3i3−i3−i333−3−333−3−3-222i−2i0000001-1−ii−33−i3i3000000000000
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-244-4-400000000-2-2-2-2222222220000000000000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-2-4-444000000002222-2-2-2-222220000000000000000000000000000000000000000000000
χ554444-4-4-4-4-24-44-42222-2-2-20000000044-4-400000000-22-2200000000-2-2-2-22222000000000000000000000000000000
χ564444-4-4-4-4-24-44-42222-2-2-200000000-4-44400000000-22-22000000002222-2-2-2-2000000000000000000000000000000
χ574444-4-4-4-4-2-44-442222-2-2-2000044-4-40000000000002-22-2-2-2-2-2222200000000000000000000000000000000000000
χ584444-4-4-4-4-2-44-442222-2-2-20000-4-4440000000000002-22-22222-2-2-2-200000000000000000000000000000000000000
χ5944-4-444-4-4444-4-4-4-444-4-440000000000000000000044-4-40000000000000000000000000000000000000000000000
χ6044-4-444-4-44-4-444-4-444-4-4400000000000000000000-4-4440000000000000000000000000000000000000000000000
χ6144-4-444-4-4-244-4-422-2-222-200000000000000000000-2-222000000002323−23−23−23−232323000000000000000000000000000000
χ6244-4-444-4-4-244-4-422-2-222-200000000000000000000-2-22200000000−23−2323232323−23−23000000000000000000000000000000
χ6344-4-444-4-4-2-4-44422-2-222-20000000000000000000022-2-2−2i3−2i32i32i32i32i3−2i3−2i300000000000000000000000000000000000000
χ6444-4-444-4-4-2-4-44422-2-222-20000000000000000000022-2-22i32i3−2i3−2i3−2i3−2i32i32i300000000000000000000000000000000000000
χ6544-4-4-4-444-2-444-4-2-22222-24i−4i−4i4i00000000−2i−2i2i2i2i2i−2i−2i2-2-220000000000000000000000000000000000000000000000
χ6644-4-4-4-444-2-444-4-2-22222-2−4i4i4i−4i000000002i2i−2i−2i−2i−2i2i2i2-2-220000000000000000000000000000000000000000000000
χ674-44-44-44-4400004-44-44-4-400000000−2i22i2−2i22i200000000000000000000−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000000000
χ684-44-44-44-4400004-44-44-4-4000000002i2−2i22i2−2i2000000000000000000002i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000000000
χ694-44-44-44-4-20000-22-22-22200000000−2i22i2−2i22i2−2i32i3−2i32i3000000006−66−66−66−6i2−i2i2−i2i2−i2i2−i2000000000000000000000000000000
χ704-44-44-44-4-20000-22-22-22200000000−2i22i2−2i22i22i3−2i32i3−2i300000000−66−66−66−66i2−i2i2−i2i2−i2i2−i2000000000000000000000000000000
χ714-44-44-44-4-20000-22-22-222000000002i2−2i22i2−2i2−2i32i3−2i32i300000000−66−66−66−66−i2i2−i2i2−i2i2−i2i2000000000000000000000000000000
χ724-44-44-44-4-20000-22-22-222000000002i2−2i22i2−2i22i3−2i32i3−2i3000000006−66−66−66−6−i2i2−i2i2−i2i2−i2i2000000000000000000000000000000
χ734-44-4-44-4440000-44-444-4-400000000−2i22i22i2−2i200000000000000000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000
χ744-44-4-44-4440000-44-444-4-4000000002i2−2i2−2i22i2000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000
χ754-44-4-44-44-200002-22-2-22200000000−2i22i22i2−2i20000−2i32i3−2i32i300006−66−6−66−66i2−i2i2−i2−i2i2−i2i2000000000000000000000000000000
χ764-44-4-44-44-200002-22-2-22200000000−2i22i22i2−2i200002i3−2i32i3−2i30000−66−666−66−6i2−i2i2−i2−i2i2−i2i2000000000000000000000000000000
χ774-44-4-44-44-200002-22-2-222000000002i2−2i2−2i22i20000−2i32i3−2i32i30000−66−666−66−6−i2i2−i2i2i2−i2i2−i2000000000000000000000000000000
χ784-44-4-44-44-200002-22-2-222000000002i2−2i2−2i22i200002i3−2i32i3−2i300006−66−6−66−66−i2i2−i2i2i2−i2i2−i2000000000000000000000000000000
χ794-4-444-4-4440000-444-4-44-40000−2i22i2−2i22i20000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000
χ804-4-444-4-4440000-444-4-44-400002i2−2i22i2−2i200000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000
χ814-4-444-4-44-200002-2-222-220000−2i22i2−2i22i20000000023−23−23230000i2−i2−i2i2−i2i2i2−i2i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000
χ824-4-444-4-44-200002-2-222-220000−2i22i2−2i22i200000000−232323−230000i2−i2−i2i2−i2i2i2−i2−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000
χ834-4-444-4-44-200002-2-222-2200002i2−2i22i2−2i20000000023−23−23230000−i2i2i2−i2i2−i2−i2i2−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000
χ844-4-444-4-44-200002-2-222-2200002i2−2i22i2−2i200000000−232323−230000−i2i2i2−i2i2−i2−i2i2i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000
χ854-4-44-444-4400004-4-44-44-40000−2i22i22i2−2i20000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000
χ864-4-44-444-4400004-4-44-44-400002i2−2i2−2i22i200000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ874-4-44-444-4-20000-222-22-220000−2i22i22i2−2i2000023−23−232300000000i2−i2−i2i2i2−i2−i2i2i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000
χ884-4-44-444-4-20000-222-22-220000−2i22i22i2−2i20000−232323−2300000000i2−i2−i2i2i2−i2−i2i2−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000
χ894-4-44-444-4-20000-222-22-2200002i2−2i2−2i22i2000023−23−232300000000−i2i2i2−i2−i2i2i2−i2−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000
χ904-4-44-444-4-20000-222-22-2200002i2−2i2−2i22i20000−232323−2300000000−i2i2i2−i2−i2i2i2−i2i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000

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