Finite Group Databasebeta

← Group #10844614

Character table — Group #10844614

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111222222222222444444888888888888888888888881212121212121212121216161616161616161624242424242424242448
order122222223444466666664412121212444444488881212121224242424242424244444444444412121212121212124444488882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-11
χ411111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1111111-1
χ511111111111111111111111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11111-1-1-1-11-1-111-1-1-1-1-1
χ611111111111111111111111111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111111
χ711111111111111111111111111-1-11-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1
χ811111111111111111111111111-1-11-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ911111111111111111111-1-1111111-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-11111-1-11
χ1011111111111111111111-1-1111111-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-11111-1-1-111-1-1-1-111-1
χ1111111111111111111111-1-1111111-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-111-1-11-1-1-1-1-1-1111
χ1211111111111111111111-1-1111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-111-1-1-1111111-1-1-1
χ1311111111111111111111-1-11111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-111-1
χ1411111111111111111111-1-11111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111111-1-111-1-111-1-1-1-1-111-1-11
χ1511111111111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-1-1-111111-1-111-1-1-1
χ1611111111111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-111-1-1111
χ17222222222-2-2-2-2222222222-2-2-2-200-20000000022-2-20000000022000022-2-2000000000-2000000000
χ18222222222-2-2-2-2222222222-2-2-2-200-20000000022-2-200000000-2-20000-2-2220000000002000000000
χ19222222222-2-2-2-22222222-2-2-2-2-2-200200000000-2-22200000000220000-2-222000000000-2000000000
χ20222222222-2-2-2-22222222-2-2-2-2-2-200200000000-2-22200000000-2-2000022-2-20000000002000000000
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
χ2222222222-12222-1-1-1-1-1-1-122-1-1-1-1222-2-2-2-2-2-2-2-2-1-1-1-111111111000000000021111-1-1-1-10000000000
χ2322222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-222222-2-2-2-2-1-1-1-1111111110000000000-2-1-1-1-111110000000000
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
χ2522222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-222-2-222-2-21111-1-1-1-111110000000000-211-1-1-1-1110000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-2-2-222-2-22211111111-1-1-1-10000000000-2-1-111-1-1110000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-222-2-2-2-22211111111-1-1-1-10000000000211-1-111-1-10000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-2-22222-2-21111-1-1-1-1111100000000002-1-11111-1-10000000000
χ2922-222-2-2-222-2-2222-2-2-2-22002-22-200000002i−2i0000002i2i−2i−2i00000022-2-2000000000000002i−2i0000000
χ3022-222-2-2-222-2-2222-2-2-2-22002-22-200000002i−2i0000002i2i−2i−2i000000-2-22200000000000000−2i2i0000000
χ3122-222-2-2-222-2-2222-2-2-2-22002-22-20000000−2i2i000000−2i−2i2i2i00000022-2-200000000000000−2i2i0000000
χ3222-222-2-2-222-2-2222-2-2-2-22002-22-20000000−2i2i000000−2i−2i2i2i000000-2-222000000000000002i−2i0000000
χ332-222-22-2-222-22-2-2-2-22-222002-2-222-2000000000000000000000002i−2i2i−2i0000000002-20000000002i−2i0
χ342-222-22-2-222-22-2-2-2-22-222002-2-222-200000000000000000000000−2i2i−2i2i0000000002-2000000000−2i2i0
χ352-222-22-2-222-22-2-2-2-22-222002-2-22-22000000000000000000000002i−2i2i−2i000000000-22000000000−2i2i0
χ362-222-22-2-222-22-2-2-2-22-222002-2-22-2200000000000000000000000−2i2i−2i2i000000000-220000000002i−2i0
χ372-2-22-2-222222-2-2-2-22-22-220022-2-20002i−2i000000000000000000002i−2i−2i2i2-22-20002i−2i00000000000000
χ382-2-22-2-222222-2-2-2-22-22-220022-2-20002i−2i00000000000000000000−2i2i2i−2i-22-220002i−2i00000000000000
χ392-2-22-2-222222-2-2-2-22-22-220022-2-2000−2i2i000000000000000000002i−2i−2i2i-22-22000−2i2i00000000000000
χ402-2-22-2-222222-2-2-2-22-22-220022-2-2000−2i2i00000000000000000000−2i2i2i−2i2-22-2000−2i2i00000000000000
χ412-2-22-2-2222-2-222-2-22-22-2200-2-222000002-200000000000000000000002-2-2202-20000000002-200000
χ422-2-22-2-2222-2-222-2-22-22-2200-2-222000002-20000000000000000000000-222-202-2000000000-2200000
χ432-2-22-2-2222-2-222-2-22-22-2200-2-22200000-2200000000000000000000002-2-220-22000000000-2200000
χ442-2-22-2-2222-2-222-2-22-22-2200-2-22200000-220000000000000000000000-222-20-220000000002-200000
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
χ47444-4-4-44-4400004-444-4-4-44-40000000000000004-4000000000000000000000000000000000000000
χ48444-4-4-44-4400004-444-4-4-4-44000000000000000-44000000000000000000000000000000000000000
χ49444-4-4-44-4-20000-22-2-22224-4000000000000000-2200i6−i6i6−i6i6i6−i6−i600000000000000000000000000000
χ50444-4-4-44-4-20000-22-2-22224-4000000000000000-2200−i6i6−i6i6−i6−i6i6i600000000000000000000000000000
χ51444-4-4-44-4-20000-22-2-2222-440000000000000002-200i6−i6i6−i6−i6−i6i6i600000000000000000000000000000
χ52444-4-4-44-4-20000-22-2-2222-440000000000000002-200−i6i6−i6i6i6i6−i6−i600000000000000000000000000000
χ5344-444-4-4-44-444-444-4-4-4-4400-44-440000000000000000000000000000000000000000000000000000
χ5444-444-4-4-4-24-4-44-2-22222-200-22-2200000004i−4i000000−2i−2i2i2i000000000000000000000000000000000
χ5544-444-4-4-4-24-4-44-2-22222-200-22-220000000−4i4i0000002i2i−2i−2i000000000000000000000000000000000
χ5644-444-4-4-4-2-444-4-2-22222-2002-22-2000000000000000000023−2323−2300000000000000000000000000000
χ5744-444-4-4-4-2-444-4-2-22222-2002-22-20000000000000000000−2323−232300000000000000000000000000000
χ5844-4-4-44-44400004-4-4-444-4000000000000000−2i22i200000000−2i22i22i2−2i200000000000000000000000000000
χ5944-4-4-44-44400004-4-4-444-40000000000000002i2−2i2000000002i2−2i2−2i22i200000000000000000000000000000
χ6044-4-4-44-44-20000-2222-2-22000000000000000−2i22i200−2i32i36−6−66i2−i2−i2i200000000000000000000000000000
χ6144-4-4-44-44-20000-2222-2-22000000000000000−2i22i2002i3−2i3−666−6i2−i2−i2i200000000000000000000000000000
χ6244-4-4-44-44-20000-2222-2-220000000000000002i2−2i200−2i32i3−666−6−i2i2i2−i200000000000000000000000000000
χ6344-4-4-44-44-20000-2222-2-220000000000000002i2−2i2002i3−2i36−6−66−i2i2i2−i200000000000000000000000000000
χ644-444-44-4-44-44-44-4-4-44-44400-444-40000000000000000000000000000000000000000000000000000
χ654-444-44-4-4-24-44-4222-22-2-200-222-24-4000000000000000000000000000000000000-22000000000000
χ664-444-44-4-4-24-44-4222-22-2-200-222-2-440000000000000000000000000000000000002-2000000000000
χ674-444-44-4-4-2-44-44222-22-2-2002-2-220000000000000000000000000000000000000000−2i32i30000000000
χ684-444-44-4-4-2-44-44222-22-2-2002-2-2200000000000000000000000000000000000000002i3−2i30000000000
χ694-44-44-4-4440000-44-444-4-400000000000000000000000000000000000000000000000000000−2i22i2000
χ704-44-44-4-4440000-44-444-4-4000000000000000000000000000000000000000000000000000002i2−2i2000
χ714-4-44-4-444-244-4-422-22-22-200-2-2220004i−4i0000000000000000000000000000000−2i2i00000000000000
χ724-4-44-4-444-244-4-422-22-22-200-2-222000−4i4i00000000000000000000000000000002i−2i00000000000000
χ734-4-44-4-444-2-4-44422-22-22-20022-2-2000004-4000000000000000000000000000-220000000000000000
χ744-4-44-4-444-2-4-44422-22-22-20022-2-200000-440000000000000000000000000002-20000000000000000
χ754-4-4-4444-440000-444-4-44-4000000000000000000000000000004i−4i000000000000000000000000000
χ764-4-4-4444-440000-444-4-44-400000000000000000000000000000−4i4i000000000000000000000000000
χ778-88-88-8-88-400004-44-4-4440000000000000000000000000000000000000000000000000000000000
χ788-8-8-8888-8-400004-4-444-440000000000000000000000000000000000000000000000000000000000

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