Finite Group Databasebeta

← Group #10840238

Character table — Group #10840238

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111222222222222444444888888888888888888888881212121212121212121216161616161616161624242424242424242448
order1222222234444666666622121212124444444668888121224242424242424244444444444412121212121212122444488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-11111-1-1-1-11-1-111-1-1-1-1-1
χ41111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111111
χ511111111111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-11
χ611111111111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1111111-1
χ711111111111111111111111111-1-1-1-11-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1
χ811111111111111111111111111-1-1-1-11-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ911111111111111111111-1-1111111-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1111111-111-1-1-1-111-111-1-111-1-1-1
χ1011111111111111111111-1-1111111-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111-1-111-1-1111
χ1111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1111
χ1211111111111111111111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-111-1-11111111-1-1-1
χ1311111111111111111111-1-11111-1-111-111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-111-1-111-11111-1-111-1
χ1411111111111111111111-1-11111-1-111-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-111-1-1111-1-1-1-111-1-11
χ1511111111111111111111-1-11111-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11-1-11111-1-1-1-1-11111-1-11
χ1611111111111111111111-1-11111-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111111-1-11111-1-1111-1-1-1-111-1
χ17222222222-2-2-2-2222222222-2-2-2-20000-200220000-2-20000000022-2-2-2-200000000000002000000000
χ18222222222-2-2-2-2222222222-2-2-2-20000-200220000-2-200000000-2-222220000000000000-2000000000
χ19222222222-2-2-2-22222222-2-2-2-2-2-20000200-2-2000022000000002222-2-20000000000000-2000000000
χ20222222222-2-2-2-22222222-2-2-2-2-2-20000200-2-200002200000000-2-2-2-22200000000000002000000000
χ2122222222-12222-1-1-1-1-1-1-122-1-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-100000000002-1-1-1-1-1-1-1-10000000000
χ2222222222-12222-1-1-1-1-1-1-122-1-1-1-122222-2-2-1-1-2-2-2-2-1-1111111110000000000-2-1-1-1-111110000000000
χ2322222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2222-1-1-2-2-2-2-1-111111111000000000021111-1-1-1-10000000000
χ2422222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-22-2-2-1-12222-1-1-1-1-1-1-1-1-1-10000000000-2111111110000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-2-2-2221122-2-211-1-1-1-111110000000000-2-1-11111-1-10000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-2-2-2-2-211-2-222111111-1-1-1-100000000002-1-111-1-1110000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-222-22211-2-222111111-1-1-1-10000000000-211-1-111-1-10000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-222-2-2-21122-2-211-1-1-1-111110000000000211-1-1-1-1110000000000
χ2922-2-222-2-2222-2-2-2-2-222-22002-22-2000002-200000000000000000000002i2i−2i−2i00000002-2000002i−2i000
χ3022-2-222-2-2222-2-2-2-2-222-22002-22-2000002-20000000000000000000000−2i−2i2i2i00000002-200000−2i2i000
χ3122-2-222-2-2222-2-2-2-2-222-22002-22-200000-2200000000000000000000002i2i−2i−2i0000000-2200000−2i2i000
χ3222-2-222-2-2222-2-2-2-2-222-22002-22-200000-220000000000000000000000−2i−2i2i2i0000000-22000002i−2i000
χ332-22-22-2-2222-22-22-2-2-2-2220022-2-20000000002i−2i00002i2i−2i−2i00000000002-22-200000000002i−2i0000000
χ342-22-22-2-2222-22-22-2-2-2-2220022-2-20000000002i−2i00002i2i−2i−2i0000000000-22-220000000000−2i2i0000000
χ352-22-22-2-2222-22-22-2-2-2-2220022-2-2000000000−2i2i0000−2i−2i2i2i00000000002-22-20000000000−2i2i0000000
χ362-22-22-2-2222-22-22-2-2-2-2220022-2-2000000000−2i2i0000−2i−2i2i2i0000000000-22-2200000000002i−2i0000000
χ372-2-222-22-222-2-22-222-2-2-22002-2-222i−2i0000000000000000000002-2002-22i−2i−2i2i02i−2i0000000000000000
χ382-2-222-22-222-2-22-222-2-2-22002-2-222i−2i000000000000000000000-2200-22−2i2i2i−2i02i−2i0000000000000000
χ392-2-222-22-222-2-22-222-2-2-22002-2-22−2i2i0000000000000000000002-2002-2−2i2i2i−2i0−2i2i0000000000000000
χ402-2-222-22-222-2-22-222-2-2-22002-2-22−2i2i000000000000000000000-2200-222i−2i−2i2i0−2i2i0000000000000000
χ412-2-222-22-22-222-2-222-2-2-2200-222-2002i−2i00000000000000000002-200-2200000002i−2i00000002i−2i00000
χ422-2-222-22-22-222-2-222-2-2-2200-222-2002i−2i0000000000000000000-22002-200000002i−2i0000000−2i2i00000
χ432-2-222-22-22-222-2-222-2-2-2200-222-200−2i2i00000000000000000002-200-220000000−2i2i0000000−2i2i00000
χ442-2-222-22-22-222-2-222-2-2-2200-222-200−2i2i0000000000000000000-22002-20000000−2i2i00000002i−2i00000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-24422220000-400-2-20000220000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-2-4-422220000400220000-2-20000000000000000000000000000000000000
χ474444-4-4-4-440000-44-44-44-44-4000000000004-40000000000000000000000000000000000000000000
χ484444-4-4-4-440000-44-44-44-4-4400000000000-440000000000000000000000000000000000000000000
χ494444-4-4-4-4-200002-22-22-224-400000000000-220000006−66−666−6−600000000000000000000000000000
χ504444-4-4-4-4-200002-22-22-224-400000000000-22000000−66−66−6−66600000000000000000000000000000
χ514444-4-4-4-4-200002-22-22-22-44000000000002-20000006−66−6−6−66600000000000000000000000000000
χ524444-4-4-4-4-200002-22-22-22-44000000000002-2000000−66−6666−6−600000000000000000000000000000
χ5344-4-444-4-44-4-444-4-4-444-4400-44-440000000000000000000000000000000000000000000000000000
χ5444-4-444-4-4-244-4-4222-2-22-200-22-22000004-4000000000000000000000000000000000-220000000000
χ5544-4-444-4-4-244-4-4222-2-22-200-22-2200000-440000000000000000000000000000000002-20000000000
χ5644-4-444-4-4-2-4-444222-2-22-2002-22-200000000000000000000000000000000000000−2i32i3000000000000
χ5744-4-444-4-4-2-4-444222-2-22-2002-22-2000000000000000000000000000000000000002i3−2i3000000000000
χ5844-4-4-4-444400004-444-4-4-40000000000000000000000000000000000000000000000000000000−2i22i20
χ5944-4-4-4-444400004-444-4-4-400000000000000000000000000000000000000000000000000000002i2−2i20
χ604-44-44-4-444-44-444-4-4-4-44400-4-4440000000000000000000000000000000000000000000000000000
χ614-44-44-4-44-24-44-4-22222-2-200-2-2220000000004i−4i0000−2i−2i2i2i000000000000000000000000000000000
χ624-44-44-4-44-24-44-4-22222-2-200-2-222000000000−4i4i00002i2i−2i−2i000000000000000000000000000000000
χ634-44-44-4-44-2-44-44-22222-2-20022-2-20000000000000000000−2i32i3−2i32i300000000000000000000000000000
χ644-44-44-4-44-2-44-44-22222-2-20022-2-200000000000000000002i3−2i32i3−2i300000000000000000000000000000
χ654-44-4-444-440000-4-44-444-400000000000000000−2i22i2000000−2i22i22i2−2i200000000000000000000000000000
χ664-44-4-444-440000-4-44-444-4000000000000000002i2−2i20000002i2−2i2−2i22i200000000000000000000000000000
χ674-44-4-444-4-2000022-22-2-2200000000000000000−2i22i223−23i6−i6−i6i6i2−i2−i2i200000000000000000000000000000
χ684-44-4-444-4-2000022-22-2-2200000000000000000−2i22i2−2323−i6i6i6−i6i2−i2−i2i200000000000000000000000000000
χ694-44-4-444-4-2000022-22-2-22000000000000000002i2−2i223−23−i6i6i6−i6−i2i2i2−i200000000000000000000000000000
χ704-44-4-444-4-2000022-22-2-22000000000000000002i2−2i2−2323i6−i6−i6i6−i2i2i2−i200000000000000000000000000000
χ714-4-444-44-4-24-4-442-2-2222-200-222-24i−4i00000000000000000000000000000000−2i2i0000000000000000
χ724-4-444-44-4-24-4-442-2-2222-200-222-2−4i4i000000000000000000000000000000002i−2i0000000000000000
χ734-4-444-44-4-2-444-42-2-2222-2002-2-22004i−4i00000000000000000000000000000000−2i2i00000000000000
χ744-4-444-44-4-2-444-42-2-2222-2002-2-2200−4i4i000000000000000000000000000000002i−2i00000000000000
χ754-4-44-44-444000044-4-44-4-400000000000000000000000000000004i−4i0000000000000000000000000
χ764-4-44-44-444000044-4-44-4-40000000000000000000000000000000−4i4i0000000000000000000000000
χ7788-8-8-8-888-40000-44-4-44440000000000000000000000000000000000000000000000000000000000
χ788-8-88-88-88-40000-4-444-4440000000000000000000000000000000000000000000000000000000000

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