Finite Group Databasebeta

← Group #10858103

Character table — Group #10858103

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111222222222222444444888888888888888888888881212121212121212121216161616161616161624242424242424242448
order122222223444466666664412121212444444488881212121224242424242424242244444444412121212121212122244488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-111-1-111-1-1111-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11111111
χ511111111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111-1-111-1-1111-1-1-1-11
χ611111111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-11111-1
χ711111111111111111111111111-1-11-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1
χ811111111111111111111111111-1-11-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-11
χ911111111111111111111-1-1111111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-11111-1-1-1
χ1011111111111111111111-1-1111111-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-1-1-1-111-1-11-1-1-1-1111
χ1111111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1111
χ1211111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-111111-1-1-1
χ1311111111111111111111-1-11111-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-11111-1-1-111-1-111-1
χ1411111111111111111111-1-11111-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111111-1-111-1-11
χ1511111111111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111111-1-11111-1-1-1-1-1-1-111-1-11
χ1611111111111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-1-111111-1-111-1
χ17222222222-2-2-2-2222222222-2-2-2-200-20000000022-2-20000000022-2-222000000000000000-20000000
χ18222222222-2-2-2-2222222222-2-2-2-200-20000000022-2-200000000-2-222-2-200000000000000020000000
χ19222222222-2-2-2-22222222-2-2-2-2-2-200200000000-2-2220000000022-2-2-2-200000000000000020000000
χ20222222222-2-2-2-22222222-2-2-2-2-2-200200000000-2-22200000000-2-22222000000000000000-20000000
χ2122222222-12222-1-1-1-1-1-1-122-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-100000000002-1-1-1-1-1-1-1-10000000000
χ2222222222-12222-1-1-1-1-1-1-122-1-1-1-1222-2-222-2-2-2-2-1-1-1-1111111110000000000-2-1-111-1-1110000000000
χ2322222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-2222-2-2-2-2-2-2-1-1-1-1111111110000000000211-1-111-1-10000000000
χ2422222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-22-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2111111110000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-222-2-222-2-21111-1-1-1-111110000000000-2-1-11111-1-10000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-2-2-2-2-2-2-22211111111-1-1-1-100000000002-1-1-1-111110000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-22222-2-22211111111-1-1-1-10000000000-21111-1-1-1-10000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-2-22222-2-21111-1-1-1-111110000000000211-1-1-1-1110000000000
χ29222-22-2-2-2222-2-22-222-2-2-20022-2-22-20000000000000000000002-22-200000002-20000002-200000000
χ30222-22-2-2-2222-2-22-222-2-2-20022-2-22-2000000000000000000000-22-2200000002-2000000-2200000000
χ31222-22-2-2-2222-2-22-222-2-2-20022-2-2-220000000000000000000002-22-20000000-22000000-2200000000
χ32222-22-2-2-2222-2-22-222-2-2-20022-2-2-22000000000000000000000-22-220000000-220000002-200000000
χ33222-22-2-2-22-2-2222-222-2-2-200-2-222000002i−2i00000000000000002-2-22002i2i−2i−2i000002i−2i000000000000
χ34222-22-2-2-22-2-2222-222-2-2-200-2-222000002i−2i0000000000000000-222-200−2i−2i2i2i000002i−2i000000000000
χ35222-22-2-2-22-2-2222-222-2-2-200-2-22200000−2i2i00000000000000002-2-2200−2i−2i2i2i00000−2i2i000000000000
χ36222-22-2-2-22-2-2222-222-2-2-200-2-22200000−2i2i0000000000000000-222-2002i2i−2i−2i00000−2i2i000000000000
χ372-2-2222-2-222-2-22-222-22-2-2002-2-220002i−2i0000000000000000000000002i−2i2i−2i00000002i−2i00000002-20
χ382-2-2222-2-222-2-22-222-22-2-2002-2-220002i−2i000000000000000000000000−2i2i−2i2i00000002i−2i0000000-220
χ392-2-2222-2-222-2-22-222-22-2-2002-2-22000−2i2i0000000000000000000000002i−2i2i−2i0000000−2i2i0000000-220
χ402-2-2222-2-222-2-22-222-22-2-2002-2-22000−2i2i000000000000000000000000−2i2i−2i2i0000000−2i2i00000002-20
χ412-2-2-22-2222-22-22-2-22-2-22200-22-220000000002-20000000022-2-20000002-2-220000000000002-200000
χ422-2-2-22-2222-22-22-2-22-2-22200-22-220000000002-20000000022-2-2000000-222-2000000000000-2200000
χ432-2-2-22-2222-22-22-2-22-2-22200-22-22000000000-2200000000-2-2220000002-2-22000000000000-2200000
χ442-2-2-22-2222-22-22-2-22-2-22200-22-22000000000-2200000000-2-222000000-222-20000000000002-200000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-244222200-400000000-2-2220000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-2-4-422220040000000022-2-20000000000000000000000000000000000000
χ47444-44-4-4-4-244-4-4-22-2-222200-2-2224-400000000000000000000000000000000-220000000000000000
χ48444-44-4-4-4-244-4-4-22-2-222200-2-222-44000000000000000000000000000000002-20000000000000000
χ49444-44-4-4-4-2-4-444-22-2-22220022-2-2000004i−4i0000000000000000000000000000000−2i2i000000000000
χ50444-44-4-4-4-2-4-444-22-2-22220022-2-200000−4i4i00000000000000000000000000000002i−2i000000000000
χ5144-44-4-4-444000044-4-4-44-400000000000000000000000000000000000000000000000000000−2i22i2000
χ5244-44-4-4-444000044-4-4-44-4000000000000000000000000000000000000000000000000000002i2−2i2000
χ5344-4-4-444-4400004-4-4-44-440000000000000−2i22i2000000−2i2−2i22i22i2000000000000000000000000000000000
χ5444-4-4-444-4400004-4-4-44-4400000000000002i2−2i20000002i22i2−2i2−2i2000000000000000000000000000000000
χ5544-4-4-444-4-20000-2222-22-20000000000000−2i22i20000−2i32i3i2i2−i2−i26−66−600000000000000000000000000000
χ5644-4-4-444-4-20000-2222-22-20000000000000−2i22i200002i3−2i3i2i2−i2−i2−66−6600000000000000000000000000000
χ5744-4-4-444-4-20000-2222-22-200000000000002i2−2i20000−2i32i3−i2−i2i2i2−66−6600000000000000000000000000000
χ5844-4-4-444-4-20000-2222-22-200000000000002i2−2i200002i3−2i3−i2−i2i2i26−66−600000000000000000000000000000
χ594-444-4-44-440000-44-44-4-444i−4i0000000000000004i−4i000000000000000000000000000000000000000
χ604-444-4-44-440000-44-44-4-44−4i4i000000000000000−4i4i000000000000000000000000000000000000000
χ614-444-4-44-4-200002-22-222-24i−4i000000000000000−2i2i00i6−i6i6−i66−6−6600000000000000000000000000000
χ624-444-4-44-4-200002-22-222-24i−4i000000000000000−2i2i00−i6i6−i6i6−666−600000000000000000000000000000
χ634-444-4-44-4-200002-22-222-2−4i4i0000000000000002i−2i00i6−i6i6−i6−666−600000000000000000000000000000
χ644-444-4-44-4-200002-22-222-2−4i4i0000000000000002i−2i00−i6i6−i6i66−6−6600000000000000000000000000000
χ654-44-4-44-4440000-4-4-4444-40000000000000000000000000000000004-400000000000000000000000
χ664-44-4-44-4440000-4-4-4444-4000000000000000000000000000000000-4400000000000000000000000
χ674-4-4444-4-44-444-4-444-44-4-400-444-40000000000000000000000000000000000000000000000000000
χ684-4-4444-4-4-24-4-442-2-22-22200-222-20004i−4i00000000000000000000000000000000000−2i2i0000000000
χ694-4-4444-4-4-24-4-442-2-22-22200-222-2000−4i4i000000000000000000000000000000000002i−2i0000000000
χ704-4-4444-4-4-2-444-42-2-22-222002-2-22000000000000000000000000000000000000−2i32i300000000000000
χ714-4-4444-4-4-2-444-42-2-22-222002-2-220000000000000000000000000000000000002i3−2i300000000000000
χ724-4-4-44-44444-44-4-4-44-4-444004-44-40000000000000000000000000000000000000000000000000000
χ734-4-4-44-444-24-44-422-222-2-200-22-2200000000000000023−23−2323000000000000000000000000000000000
χ744-4-4-44-444-24-44-422-222-2-200-22-22000000000000000−232323−23000000000000000000000000000000000
χ754-4-4-44-444-2-44-4422-222-2-2002-22-20000000004-400000000-2-22200000000000000000000000000000
χ764-4-4-44-444-2-44-4422-222-2-2002-22-2000000000-440000000022-2-200000000000000000000000000000
χ7788-88-8-8-88-40000-4-4444-440000000000000000000000000000000000000000000000000000000000
χ788-88-8-88-88-40000444-4-4-440000000000000000000000000000000000000000000000000000000000

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