Finite Group Databasebeta

← Group #10826343

Character table — Group #10826343

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111222222222222444444888888888888888888888881212121212121212121216161616161616161624242424242424242448
order12222222344446666666441212121222224448888121212122424242424242424222222224446666121212122244488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-111-1-1-1-111-1-1111-1-1-1-1-1
χ41111111111111111111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111111
χ511111111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11111-1-111-1-11-1-1-1-11
χ611111111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-11111-1-1-1-111-11111-1
χ711111111111111111111111111-1-1-1-11-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1
χ811111111111111111111111111-1-1-1-11-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11
χ911111111111111111111-1-111111111-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-11111-1-1-1-1-1-1-1-11-1-1111
χ1011111111111111111111-1-111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-11111-111-1-1-1
χ1111111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1111-1-111-1-111-1-1111-1-1-1
χ1211111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-111-1-1-1-111-1-1-1111
χ1311111111111111111111-1-11111-1-111-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-1-11
χ1411111111111111111111-1-11111-1-111-111-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-111-1-11111-1-1-1-1-111-1
χ1511111111111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-111-1
χ1611111111111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-111-1-11
χ17222222222-2-2-2-2222222222-2-2-2-20000-200000022-2-20000000022-2-20000220000000000000-200000
χ18222222222-2-2-2-2222222222-2-2-2-20000-200000022-2-200000000-2-2220000-2-20000000000000200000
χ19222222222-2-2-2-22222222-2-2-2-2-2-200002000000-2-2220000000022220000-2-20000000000000-200000
χ20222222222-2-2-2-22222222-2-2-2-2-2-200002000000-2-22200000000-2-2-2-20000220000000000000200000
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
χ2222222222-12222-1-1-1-1-1-1-122-1-1-1-122-2-2222-2-2-2-2-1-1-1-1111111110000000000-2-1-11111-1-10000000000
χ2322222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-2222-2-2-2-2-2-2-1-1-1-1111111110000000000211-1-1-1-1110000000000
χ2422222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-22-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2111111110000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-12222-2-2-222-2-21111-1-1-1-111110000000000-2-1-1-1-111110000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-2-2-2-2-2-2-22211111111-1-1-1-100000000002-1-111-1-1110000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-222-222-2-22211111111-1-1-1-10000000000-211-1-111-1-10000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-2-22222-2-21111-1-1-1-11111000000000021111-1-1-1-10000000000
χ2922-2-22-2-222-2-2222-2-2-2-222002-22-20000000002-20000000022-2-2000022-2-2000000000002-200000000
χ3022-2-22-2-222-2-2222-2-2-2-222002-22-20000000002-20000000022-2-20000-2-22200000000000-2200000000
χ3122-2-22-2-222-2-2222-2-2-2-222002-22-2000000000-2200000000-2-222000022-2-200000000000-2200000000
χ3222-2-22-2-222-2-2222-2-2-2-222002-22-2000000000-2200000000-2-2220000-2-222000000000002-200000000
χ332-22-2-22-222-22-22-222-2-2-2200-2-222002-2000000000000000000000002-22-2000002-2000000000002-20
χ342-22-2-22-222-22-22-222-2-2-2200-2-222002-200000000000000000000000-22-22000002-200000000000-220
χ352-22-2-22-222-22-22-222-2-2-2200-2-22200-22000000000000000000000002-22-200000-2200000000000-220
χ362-22-2-22-222-22-22-222-2-2-2200-2-22200-2200000000000000000000000-22-2200000-22000000000002-20
χ372-2-22-2-22222-2-22-2-2-222-2200-222-2000002-20000000000000000002-22-2-222-200000002-20000000000
χ382-2-22-2-22222-2-22-2-2-222-2200-222-2000002-2000000000000000000-22-222-2-2200000002-20000000000
χ392-2-22-2-22222-2-22-2-2-222-2200-222-200000-220000000000000000002-2-222-22-20000000-220000000000
χ402-2-22-2-22222-2-22-2-2-222-2200-222-200000-22000000000000000000-222-2-22-220000000-220000000000
χ412-2-22-2-2222-222-2-2-2-222-22002-2-222-2000000000000000000000002-20000-2202-2000000002-2000000
χ422-2-22-2-2222-222-2-2-2-222-22002-2-222-200000000000000000000000-2200002-202-200000000-22000000
χ432-2-22-2-2222-222-2-2-2-222-22002-2-22-22000000000000000000000002-20000-220-2200000000-22000000
χ442-2-22-2-2222-222-2-2-2-222-22002-2-22-2200000000000000000000000-2200002-20-22000000002-2000000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-24422220000-4000000-2-2220000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-2-4-422220000400000022-2-20000000000000000000000000000000000000
χ474444-4-4-4-44000044-44-4-4-44i−4i0000000000000004i−4i000000000000000000000000000000000000000
χ484444-4-4-4-44000044-44-4-4-4−4i4i000000000000000−4i4i000000000000000000000000000000000000000
χ494444-4-4-4-4-20000-2-22-22224i−4i000000000000000−2i2i00i6i6−i6−i66−66−600000000000000000000000000000
χ504444-4-4-4-4-20000-2-22-22224i−4i000000000000000−2i2i00−i6−i6i6i6−66−6600000000000000000000000000000
χ514444-4-4-4-4-20000-2-22-2222−4i4i0000000000000002i−2i00i6i6−i6−i6−66−6600000000000000000000000000000
χ524444-4-4-4-4-20000-2-22-2222−4i4i0000000000000002i−2i00−i6−i6i6i66−66−600000000000000000000000000000
χ5344-4-44-4-44444-4-44-4-4-4-44400-44-440000000000000000000000000000000000000000000000000000
χ5444-4-44-4-44-244-4-4-22222-2-2002-22-2000000000000000−2i32i3−2i32i3000000000000000000000000000000000
χ5544-4-44-4-44-244-4-4-22222-2-2002-22-20000000000000002i3−2i32i3−2i3000000000000000000000000000000000
χ5644-4-44-4-44-2-4-444-22222-2-200-22-220000000004-400000000-2-22200000000000000000000000000000
χ5744-4-44-4-44-2-4-444-22222-2-200-22-22000000000-440000000022-2-200000000000000000000000000000
χ5844-4-4-444-4400004-44-44-4-4000000000000022−2200000022−22−2222000000000000000000000000000000000
χ5944-4-4-444-4400004-44-44-4-40000000000000−2222000000−222222−22000000000000000000000000000000000
χ6044-4-4-444-4-20000-22-22-222000000000000022−22000023−23−222−26−6−6600000000000000000000000000000
χ6144-4-4-444-4-20000-22-22-222000000000000022−220000−2323−222−2−666−600000000000000000000000000000
χ6244-4-4-444-4-20000-22-22-2220000000000000−2222000023−232−2−22−666−600000000000000000000000000000
χ6344-4-4-444-4-20000-22-22-2220000000000000−22220000−23232−2−226−6−6600000000000000000000000000000
χ644-44-44-44-440000-44-4-444-40000000000000000000000000000000000000000000000000000022−22000
χ654-44-44-44-440000-44-4-444-400000000000000000000000000000000000000000000000000000−2222000
χ664-44-4-44-4444-44-4-444-4-4-440044-4-40000000000000000000000000000000000000000000000000000
χ674-44-4-44-44-24-44-42-2-2222-200-2-2220000000000000000000000000000000000000023−23000000000000
χ684-44-4-44-44-24-44-42-2-2222-200-2-22200000000000000000000000000000000000000−2323000000000000
χ694-44-4-44-44-2-44-442-2-2222-20022-2-2004-400000000000000000000000000000000-2200000000000000
χ704-44-4-44-44-2-44-442-2-2222-20022-2-200-44000000000000000000000000000000002-200000000000000
χ714-4-4444-4-440000-4-444-44-4000000000000000000000000000004-4000000000000000000000000000
χ724-4-4444-4-440000-4-444-44-400000000000000000000000000000-44000000000000000000000000000
χ734-4-44-4-444-24-4-44222-2-22-2002-2-22000004-4000000000000000000000000000000000-220000000000
χ744-4-44-4-444-24-4-44222-2-22-2002-2-2200000-440000000000000000000000000000000002-20000000000
χ754-4-44-4-444-2-444-4222-2-22-200-222-24-400000000000000000000000000000000-220000000000000000
χ764-4-44-4-444-2-444-4222-2-22-200-222-2-44000000000000000000000000000000002-20000000000000000
χ778-88-88-88-8-400004-444-4-440000000000000000000000000000000000000000000000000000000000
χ788-8-8888-8-8-4000044-4-44-440000000000000000000000000000000000000000000000000000000000

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