Finite Group Databasebeta

← Group #10898404

Character table — Group #10898404

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111111112222222222224444444488888888888888888888121212121212121212121212161616161616161616162424242424244848
order122222223444466666668888121212124444448812121212242424242424242444444444888844121212121212121222448844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11-11111-1-1-1-1-1-11111-11
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111-11111-1-1-1-111-1-1-1-11-1
χ51111111111111111111111111111-1-111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1111111-1-1111-1
χ81111111111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-11-1-1-1-11111-1-111-1-1-11
χ911111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ1011111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111
χ1111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1111-1-1-1-111-1-111-1-11-1
χ1211111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1111-1-1-1-11111-1-111-11
χ1311111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-111
χ1411111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1
χ1511111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111111-1-1-11111-1-111-1-1-1-1-11
χ1611111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11-1-1-11111-1-1-1-111111-1
χ17222222222-2-2-2-222222220000-2-2-2-2002-20000-2-222000000002222-2-2-2-20000000000000000000000
χ18222222222-2-2-2-222222220000-2-2-2-2002-20000-2-22200000000-2-2-2-222220000000000000000000000
χ19222222222-2-2-2-222222220000-2-2-2-200-22000022-2-20000000022-2-2-2-2220000000000000000000000
χ20222222222-2-2-2-222222220000-2-2-2-200-22000022-2-200000000-2-22222-2-20000000000000000000000
χ2122222222-12222-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1-1-1-1-100000000
χ2222222222-12222-1-1-1-1-1-1-12222-1-1-1-122-2-2-2-2-2-21111-1-1-1-111110000000000002-2-1-1-1-1111100000000
χ2322222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-21111111100000000
χ2422222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-222-2-21111-1-1-1-11111000000000000-221111-1-1-1-100000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1222222-2-2-1-1-1-111111111000000000000-2-2-1-111-1-11100000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-2-2-2-22211111111-1-1-1-1000000000000-22-1-11111-1-100000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-222-2-2-2-2-1-1-1-1111111110000000000002211-1-111-1-100000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-2222211111111-1-1-1-10000000000002-211-1-1-1-11100000000
χ29222-2-22-2-222-22-22-2-2-22-2200002-2-2200002-200000000000000002i−2i002i−2i00000000002-200002i−2i0000
χ30222-2-22-2-222-22-22-2-2-22-2200002-2-2200002-20000000000000000−2i2i00−2i2i00000000002-20000−2i2i0000
χ31222-2-22-2-222-22-22-2-2-22-2200002-2-220000-2200000000000000002i−2i002i−2i0000000000-220000−2i2i0000
χ32222-2-22-2-222-22-22-2-2-22-2200002-2-220000-220000000000000000−2i2i00−2i2i0000000000-2200002i−2i0000
χ33222-2-22-2-22-22-222-2-2-22-220000-222-22i−2i000000000000000000002i−2i00−2i2i0000002i−2i0000002-2000000
χ34222-2-22-2-22-22-222-2-2-22-220000-222-22i−2i00000000000000000000−2i2i002i−2i0000002i−2i000000-22000000
χ35222-2-22-2-22-22-222-2-2-22-220000-222-2−2i2i000000000000000000002i−2i00−2i2i000000−2i2i000000-22000000
χ36222-2-22-2-22-22-222-2-2-22-220000-222-2−2i2i00000000000000000000−2i2i002i−2i000000−2i2i0000002-2000000
χ3722-22-2-22-222-2-22-2-2-2222-2000022-2-20000002i−2i000000002i2i−2i−2i2i−2i002i−2i0022-2-2000000000000000000
χ3822-22-2-22-222-2-22-2-2-2222-2000022-2-20000002i−2i000000002i2i−2i−2i−2i2i00−2i2i00-2-222000000000000000000
χ3922-22-2-22-222-2-22-2-2-2222-2000022-2-2000000−2i2i00000000−2i−2i2i2i2i−2i002i−2i00-2-222000000000000000000
χ4022-22-2-22-222-2-22-2-2-2222-2000022-2-2000000−2i2i00000000−2i−2i2i2i−2i2i00−2i2i0022-2-2000000000000000000
χ4122-22-2-22-22-222-2-2-2-2222-222-2-2-2-22200000000000022-2-200002i−2i00−2i2i000000000000000000002i−2i00
χ4222-22-2-22-22-222-2-2-2-2222-222-2-2-2-22200000000000022-2-20000−2i2i002i−2i00000000000000000000−2i2i00
χ4322-22-2-22-22-222-2-2-2-2222-2-2-222-2-222000000000000-2-22200002i−2i00−2i2i00000000000000000000−2i2i00
χ4422-22-2-22-22-222-2-2-2-2222-2-2-222-2-222000000000000-2-2220000−2i2i002i−2i000000000000000000002i−2i00
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-200002222004-4000022-2-200000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-20000222200-440000-2-22200000000000000000000000000000000000000
χ47444-4-44-4-4-24-44-4-2222-22-20000-222-200004-400000000000000000000000000000000-220000000000
χ48444-4-44-4-4-24-44-4-2222-22-20000-222-20000-44000000000000000000000000000000002-20000000000
χ49444-4-44-4-4-2-44-44-2222-22-200002-2-224i−4i00000000000000000000000000000000−2i2i00000000000000
χ50444-4-44-4-4-2-44-44-2222-22-200002-2-22−4i4i000000000000000000000000000000002i−2i00000000000000
χ5144-44-4-44-4-24-4-44222-2-2-220000-2-2220000004i−4i00000000−2i−2i2i2i000000000000000000000000000000
χ5244-44-4-44-4-24-4-44222-2-2-220000-2-222000000−4i4i000000002i2i−2i−2i000000000000000000000000000000
χ5344-44-4-44-4-2-444-4222-2-2-2244-4-422-2-2000000000000-2-2220000000000000000000000000000000000
χ5444-44-4-44-4-2-444-4222-2-2-22-4-44422-2-200000000000022-2-20000000000000000000000000000000000
χ5544-4-44-4-44444-4-4-444-44-4-400004-44-400000000000000000000000000000000000000000000000000
χ5644-4-44-4-444-4-444-444-44-4-40000-44-4400000000000000000000000000000000000000000000000000
χ5744-4-44-4-44-244-4-42-2-22-2220000-22-22000000000000000000000000000000000000−2i32i3000000000000
χ5844-4-44-4-44-244-4-42-2-22-2220000-22-220000000000000000000000000000000000002i3−2i3000000000000
χ5944-4-44-4-44-2-4-4442-2-22-22200002-22-2000000000000000000000000000000000000000023−2300000000
χ6044-4-44-4-44-2-4-4442-2-22-22200002-22-20000000000000000000000000000000000000000−232300000000
χ614-444-4-4-444000044-4-4-44-4000000000000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ624-444-4-4-444000044-4-4-44-40000000000000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ634-44-44-44-4400004-444-4-4-422−2222−22000000000000000022−2222−220000000000000000000000000000000000
χ644-44-44-44-4400004-444-4-4-4−2222−22220000000000000000−2222−22220000000000000000000000000000000000
χ654-44-44-44-4-20000-22-2-222222−2222−22000000000000−2i32i300−22−22i6−i6i6−i6000000000000000000000000000000
χ664-44-44-44-4-20000-22-2-222222−2222−220000000000002i3−2i300−22−22−i6i6−i6i6000000000000000000000000000000
χ674-44-44-44-4-20000-22-2-2222−2222−2222000000000000−2i32i3002−22−2−i6i6−i6i6000000000000000000000000000000
χ684-44-44-44-4-20000-22-2-2222−2222−22220000000000002i3−2i3002−22−2i6−i6i6−i6000000000000000000000000000000
χ694-4-4444-4-440000-4-44-4-444000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ704-4-4444-4-440000-4-44-4-4440000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ714-4-4-4-444440000-44-44-4-4422−22−2222000000000000000022−22−22220000000000000000000000000000000000
χ724-4-4-4-444440000-44-44-4-44−222222−220000000000000000−222222−220000000000000000000000000000000000
χ734-4-4-4-4444-200002-22-222-222−22−22220000000000000023−23−222−26−6−66000000000000000000000000000000
χ744-4-4-4-4444-200002-22-222-222−22−222200000000000000−2323−222−2−666−6000000000000000000000000000000
χ754-4-4-4-4444-200002-22-222-2−222222−220000000000000023−232−2−22−666−6000000000000000000000000000000
χ764-4-4-4-4444-200002-22-222-2−222222−2200000000000000−23232−2−226−6−66000000000000000000000000000000
χ778-888-8-8-88-40000-4-4444-440000000000000000000000000000000000000000000000000000000000
χ788-8-8888-8-8-4000044-444-4-40000000000000000000000000000000000000000000000000000000000

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