Finite Group Databasebeta

← Group #10844895

Character table — Group #10844895

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11111111222222222222444444444444444444444444444444444444444488881212121216161616161616161616242424242424242424244848
order122222223444466666664444888888881212121212121212121212122424242424242424242424242424242444444444441212121212121212224444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1111-1-111-1-1-1-11111-1-1-1-1-11
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-111111-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-111111-1-11-1-1-1-11-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-111-1-111-1-1-111-11111-11
χ911111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-111-111-1-1-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11-1-11-1-11111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111111-11111-1-1-1-1-1-1-111-1-1-1111-1
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-11111-1-1-1-1111-1-1111-1-1-11
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-11-1-1-1-1111111-1-1-1-1-1-111-11
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-11-1-1-1-11111-1-1111111-1-11-1
χ17222222222-2-2-2-2222222222-2-2000000002222-2-2-2-2-2-2-2-20000000000000000000022-2-2000000000000200-2000000
χ18222222222-2-2-2-2222222222-2-2000000002222-2-2-2-2-2-2-2-200000000000000000000-2-222000000000000-2002000000
χ19222222222-2-2-2-22222222-2-22200000000-2-2-2-2-2-22222-2-20000000000000000000022-2-2000000000000-2002000000
χ20222222222-2-2-2-22222222-2-22200000000-2-2-2-2-2-22222-2-200000000000000000000-2-222000000000000200-2000000
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
χ2322222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-20000-22-1-111-1-111000000000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-22200002-211-1-111-1-1000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1-1-11111111122220000-2-2-1-11111-1-1000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-2-2-200002211-1-1-1-111000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-200002-2-1-1-1-11111000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-2220000-221111-1-1-1-1000000000000
χ29222-2-2-22-222-2-222-2-22-22-200002i2i−2i−2i000000002-200002-22i2i2i2i−2i−2i−2i−2i000000000000000000000000002-202i−2i0000000
χ30222-2-2-22-222-2-222-2-22-22-200002i2i−2i−2i000000002-200002-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000-220−2i2i0000000
χ31222-2-2-22-222-2-222-2-22-22-20000−2i−2i2i2i000000002-200002-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000002-20−2i2i0000000
χ32222-2-2-22-222-2-222-2-22-22-20000−2i−2i2i2i000000002-200002-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000-2202i−2i0000000
χ332-2-22-222-222-22-2-22-2-222-200002-22-2000000002-20000-2222-2-222-2-2000000002i−2i2i−2i0000002i−2i00002i−2i000000000000
χ342-2-22-222-222-22-2-22-2-222-200002-22-2000000002-20000-2222-2-222-2-200000000−2i2i−2i2i000000−2i2i0000−2i2i000000000000
χ352-2-22-222-222-22-2-22-2-222-20000-22-22000000002-20000-22-2-222-2-222000000002i−2i−2i2i0000002i−2i0000−2i2i000000000000
χ362-2-22-222-222-22-2-22-2-222-20000-22-22000000002-20000-22-2-222-2-22200000000−2i2i2i−2i000000−2i2i00002i−2i000000000000
χ372-2-22-222-2-12-22-21-111-1-1100002-22-2000033−3−3-1133−3−31-1-1-111-1-1113333−3−3−3−32i−2i2i−2i000000−ii−i3i3−i3i3−ii000000000000
χ382-2-22-222-2-12-22-21-111-1-1100002-22-2000033−3−3-1133−3−31-1-1-111-1-1113333−3−3−3−3−2i2i−2i2i000000i−ii3−i3i3−i3i−i000000000000
χ392-2-22-222-2-12-22-21-111-1-1100002-22-20000−3−333-11−3−3331-1-1-111-1-111−3−3−3−333332i−2i2i−2i000000−iii3−i3i3−i3−ii000000000000
χ402-2-22-222-2-12-22-21-111-1-1100002-22-20000−3−333-11−3−3331-1-1-111-1-111−3−3−3−33333−2i2i−2i2i000000i−i−i3i3−i3i3i−i000000000000
χ412-2-22-222-2-12-22-21-111-1-110000-22-22000033−3−3-1133−3−31-111-1-111-1-1−3−3−3−333332i−2i−2i2i000000−iii3−i3−i3i3i−i000000000000
χ422-2-22-222-2-12-22-21-111-1-110000-22-22000033−3−3-1133−3−31-111-1-111-1-1−3−3−3−33333−2i2i2i−2i000000i−i−i3i3i3−i3−ii000000000000
χ432-2-22-222-2-12-22-21-111-1-110000-22-220000−3−333-11−3−3331-111-1-111-1-13333−3−3−3−32i−2i−2i2i000000−ii−i3i3i3−i3i−i000000000000
χ442-2-22-222-2-12-22-21-111-1-110000-22-220000−3−333-11−3−3331-111-1-111-1-13333−3−3−3−3−2i2i2i−2i000000i−ii3−i3−i3i3−ii000000000000
χ452-2-2-22-222222-2-2-2-22-2-22200002i−2i−2i2i00000000220000-2-22i2i−2i−2i−2i−2i2i2i0000000000002-22-200000000000000002i−2i0000
χ462-2-2-22-222222-2-2-2-22-2-22200002i−2i−2i2i00000000220000-2-22i2i−2i−2i−2i−2i2i2i000000000000-22-220000000000000000−2i2i0000
χ472-2-2-22-222222-2-2-2-22-2-2220000−2i2i2i−2i00000000220000-2-2−2i−2i2i2i2i2i−2i−2i0000000000002-22-20000000000000000−2i2i0000
χ482-2-2-22-222222-2-2-2-22-2-2220000−2i2i2i−2i00000000220000-2-2−2i−2i2i2i2i2i−2i−2i000000000000-22-2200000000000000002i−2i0000
χ492-2-2-22-2222-2-222-2-22-2-2220000000022-2-20000-2-20000220000000022-2-222-2-200002-2-220000000000000000002-200
χ502-2-2-22-2222-2-222-2-22-2-2220000000022-2-20000-2-20000220000000022-2-222-2-20000-222-2000000000000000000-2200
χ512-2-2-22-2222-2-222-2-22-2-22200000000-2-2220000-2-200002200000000-2-222-2-22200002-2-22000000000000000000-2200
χ522-2-2-22-2222-2-222-2-22-2-22200000000-2-2220000-2-200002200000000-2-222-2-2220000-222-20000000000000000002-200
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-244-4-400000000-2-2-2-2222222220000000000000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-2-4-44400000000222222-2-2-2-2220000000000000000000000000000000000000000000000
χ55444-4-4-44-44-444-44-4-44-44-40000000000000000-440000-440000000000000000000000000000000000000000000000
χ56444-4-4-44-4-24-4-44-222-22-2200004i4i−4i−4i00000000-220000-22−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000
χ57444-4-4-44-4-24-4-44-222-22-220000−4i−4i4i4i00000000-220000-222i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000
χ58444-4-4-44-4-2-444-4-222-22-2200000000000000002-200002-2000000002323−23−23−23−232323000000000000000000000000000000
χ59444-4-4-44-4-2-444-4-222-22-2200000000000000002-200002-200000000−23−2323232323−23−23000000000000000000000000000000
χ6044-444-4-4-440000444-4-4-4-44-400000000004-44-4000000000000000000000000000000000000000000000000000000
χ6144-444-4-4-440000444-4-4-4-4-440000000000-44-44000000000000000000000000000000000000000000000000000000
χ6244-444-4-4-4-20000-2-2-222224-40000000000-22-2200000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6000000000000000000000000000000
χ6344-444-4-4-4-20000-2-2-222224-40000000000-22-2200000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6000000000000000000000000000000
χ6444-444-4-4-4-20000-2-2-22222-4400000000002-22-200000000i6−i6i6−i6i6−i6i6−i6−i6i6−i6i6−i6i6−i6i6000000000000000000000000000000
χ6544-444-4-4-4-20000-2-2-22222-4400000000002-22-200000000−i6i6−i6i6−i6i6−i6i6i6−i6i6−i6i6−i6i6−i6000000000000000000000000000000
χ6644-4-4-44-44400004-4-4-44-4400000000−2i22i2−2i22i200000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000
χ6744-4-4-44-44400004-4-4-44-44000000002i2−2i22i2−2i2000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ6844-4-4-44-44-20000-2222-22-200000000−2i22i2−2i22i2000000−2i32i3−2i32i3006−66−6−66−66i2−i2−i2i2−i2i2i2−i2000000000000000000000000000000
χ6944-4-4-44-44-20000-2222-22-200000000−2i22i2−2i22i20000002i3−2i32i3−2i300−66−666−66−6i2−i2−i2i2−i2i2i2−i2000000000000000000000000000000
χ7044-4-4-44-44-20000-2222-22-2000000002i2−2i22i2−2i2000000−2i32i3−2i32i300−66−666−66−6−i2i2i2−i2i2−i2−i2i2000000000000000000000000000000
χ7144-4-4-44-44-20000-2222-22-2000000002i2−2i22i2−2i20000002i3−2i32i3−2i3006−66−6−66−66−i2i2i2−i2i2−i2−i2i2000000000000000000000000000000
χ724-444-4-4-4440000-44-44-4-4400000000−2i22i22i2−2i200000000000000000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000
χ734-444-4-4-4440000-44-44-4-44000000002i2−2i2−2i22i2000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000
χ744-444-4-4-44-200002-22-222-200000000−2i22i22i2−2i223−23−232300000000i6−i6−i6i6i6−i6−i6i6i2−i2i2−i2−i2i2−i2i2000000000000000000000000000000
χ754-444-4-4-44-200002-22-222-200000000−2i22i22i2−2i2−232323−2300000000−i6i6i6−i6−i6i6i6−i6i2−i2i2−i2−i2i2−i2i2000000000000000000000000000000
χ764-444-4-4-44-200002-22-222-2000000002i2−2i2−2i22i223−23−232300000000−i6i6i6−i6−i6i6i6−i6−i2i2−i2i2i2−i2i2−i2000000000000000000000000000000
χ774-444-4-4-44-200002-22-222-2000000002i2−2i2−2i22i2−232323−2300000000i6−i6−i6i6i6−i6−i6i6−i2i2−i2i2i2−i2i2−i2000000000000000000000000000000
χ784-44-444-4-440000-4-4444-4-4004i−4i000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000
χ794-44-444-4-440000-4-4444-4-400−4i4i00000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000
χ804-44-444-4-4-2000022-2-2-222004i−4i00000000000000−2i2i2i−2i006−6−66−666−6−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000
χ814-44-444-4-4-2000022-2-2-222004i−4i00000000000000−2i2i2i−2i00−666−66−6−66i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000
χ824-44-444-4-4-2000022-2-2-22200−4i4i000000000000002i−2i−2i2i006−6−66−666−6i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000
χ834-44-444-4-4-2000022-2-2-22200−4i4i000000000000002i−2i−2i2i00−666−66−6−66−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000
χ844-4-44-444-44-44-44-44-4-444-40000000000000000-4400004-40000000000000000000000000000000000000000000000
χ854-4-44-444-4-2-44-442-222-2-220000000000002323−23−232-2−23−232323-220000000000000000000000000000000000000000000000
χ864-4-44-444-4-2-44-442-222-2-22000000000000−23−2323232-22323−23−23-220000000000000000000000000000000000000000000000
χ874-4-4-44-444-244-4-422-222-2-200004i−4i−4i4i00000000-2-2000022−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000
χ884-4-4-44-444-244-4-422-222-2-20000−4i4i4i−4i00000000-2-20000222i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000
χ894-4-4-44-444-2-4-44422-222-2-20000000044-4-40000220000-2-200000000-2-222-2-222000000000000000000000000000000
χ904-4-4-44-444-2-4-44422-222-2-200000000-4-4440000220000-2-20000000022-2-222-2-2000000000000000000000000000000

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