Finite Group Databasebeta

← Group #10898402

Character table — Group #10898402

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111111112222222222224444444488888888888888888888121212121212121212121212161616161616161616162424242424244848
order1222222234444666666688881212121222444488121212122424242424242424444444448888446612121212121244448844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111-11111-1-1-1-111-1-1-1-11-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11-11111-1-1-1-1-1-11111-11
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
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-11-1-1-1-11111-1-111-1-1-11
χ81111111111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1111111-1-1111-1
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
χ1111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1111-1-1-1-11111-1-111-11
χ1211111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1111-1-1-1-111-1-111-1-11-1
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
χ1511111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-111111-1
χ1611111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111111-1-1-11111-1-111-1-1-1-1-11
χ17222222222-2-2-2-222222220000-2-2-2-2002-20000-2-2220000000022-2-2-2-2220000000000000000000000
χ18222222222-2-2-2-222222220000-2-2-2-2002-20000-2-22200000000-2-22222-2-20000000000000000000000
χ19222222222-2-2-2-222222220000-2-2-2-200-22000022-2-2000000002222-2-2-2-20000000000000000000000
χ20222222222-2-2-2-222222220000-2-2-2-200-22000022-2-200000000-2-2-2-222220000000000000000000000
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
χ2922-2-222-2-222-22-2-2-2-2222-222-2-22-2-2200000000000022-2-20000002i−2i002i−2i0000000000000000002i−2i00
χ3022-2-222-2-222-22-2-2-2-2222-222-2-22-2-2200000000000022-2-2000000−2i2i00−2i2i000000000000000000−2i2i00
χ3122-2-222-2-222-22-2-2-2-2222-2-2-2222-2-22000000000000-2-2220000002i−2i002i−2i000000000000000000−2i2i00
χ3222-2-222-2-222-22-2-2-2-2222-2-2-2222-2-22000000000000-2-222000000−2i2i00−2i2i0000000000000000002i−2i00
χ3322-2-222-2-22-22-22-2-2-2222-20000-222-20000002i−2i000000002i2i−2i−2i002i−2i00−2i2i22-2-2000000000000000000
χ3422-2-222-2-22-22-22-2-2-2222-20000-222-20000002i−2i000000002i2i−2i−2i00−2i2i002i−2i-2-222000000000000000000
χ3522-2-222-2-22-22-22-2-2-2222-20000-222-2000000−2i2i00000000−2i−2i2i2i002i−2i00−2i2i-2-222000000000000000000
χ3622-2-222-2-22-22-22-2-2-2222-20000-222-2000000−2i2i00000000−2i−2i2i2i00−2i2i002i−2i22-2-2000000000000000000
χ372-22-22-2-2222-2-2222-22-2-2-2000022-2-22-20000000000000000002i−2i002i−2i000000002-20000002i−2i000000
χ382-22-22-2-2222-2-2222-22-2-2-2000022-2-22-2000000000000000000−2i2i00−2i2i000000002-2000000−2i2i000000
χ392-22-22-2-2222-2-2222-22-2-2-2000022-2-2-220000000000000000002i−2i002i−2i00000000-22000000−2i2i000000
χ402-22-22-2-2222-2-2222-22-2-2-2000022-2-2-22000000000000000000−2i2i00−2i2i00000000-220000002i−2i000000
χ412-22-22-2-222-222-222-22-2-2-20000-2-22200002i−2i000000000000002i−2i00−2i2i0000000000002i−2i00002-20000
χ422-22-22-2-222-222-222-22-2-2-20000-2-22200002i−2i00000000000000−2i2i002i−2i0000000000002i−2i0000-220000
χ432-22-22-2-222-222-222-22-2-2-20000-2-2220000−2i2i000000000000002i−2i00−2i2i000000000000−2i2i0000-220000
χ442-22-22-2-222-222-222-22-2-2-20000-2-2220000−2i2i00000000000000−2i2i002i−2i000000000000−2i2i00002-20000
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
χ474444-4-4-4-4400004-44-4-44-422−2222−22000000000000000022−2222−220000000000000000000000000000000000
χ484444-4-4-4-4400004-44-4-44-4−2222−22220000000000000000−2222−22220000000000000000000000000000000000
χ494444-4-4-4-4-20000-22-222-2222−2222−2200000000000023−2300−22−226−66−6000000000000000000000000000000
χ504444-4-4-4-4-20000-22-222-2222−2222−22000000000000−232300−22−22−66−66000000000000000000000000000000
χ514444-4-4-4-4-20000-22-222-22−2222−222200000000000023−23002−22−2−66−66000000000000000000000000000000
χ524444-4-4-4-4-20000-22-222-22−2222−2222000000000000−2323002−22−26−66−6000000000000000000000000000000
χ5344-4-444-4-4-24-44-4222-2-2-2244-4-4-222-2000000000000-2-2220000000000000000000000000000000000
χ5444-4-444-4-4-24-44-4222-2-2-22-4-444-222-200000000000022-2-20000000000000000000000000000000000
χ5544-4-444-4-4-2-44-44222-2-2-2200002-2-220000004i−4i00000000−2i−2i2i2i000000000000000000000000000000
χ5644-4-444-4-4-2-44-44222-2-2-2200002-2-22000000−4i4i000000002i2i−2i−2i000000000000000000000000000000
χ5744-4-4-4-44440000-44-4-4-44422−22−2222000000000000000022−22−22220000000000000000000000000000000000
χ5844-4-4-4-44440000-44-4-4-444−222222−220000000000000000−222222−220000000000000000000000000000000000
χ5944-4-4-4-444-200002-2222-2-222−22−222200000000000000−2i32i3−222−2i6−i6−i6i6000000000000000000000000000000
χ6044-4-4-4-444-200002-2222-2-222−22−2222000000000000002i3−2i3−222−2−i6i6i6−i6000000000000000000000000000000
χ6144-4-4-4-444-200002-2222-2-2−222222−2200000000000000−2i32i32−2−22−i6i6i6−i6000000000000000000000000000000
χ6244-4-4-4-444-200002-2222-2-2−222222−22000000000000002i3−2i32−2−22i6−i6−i6i6000000000000000000000000000000
χ634-44-44-4-44-24-4-44-2-22-22220000-2-2224-400000000000000000000000000000000-2200000000000000
χ644-44-44-4-44-24-4-44-2-22-22220000-2-222-44000000000000000000000000000000002-200000000000000
χ654-44-44-4-44-2-444-4-2-22-2222000022-2-200004i−4i00000000000000000000000000000000−2i2i0000000000
χ664-44-44-4-44-2-444-4-2-22-2222000022-2-20000−4i4i000000000000000000000000000000002i−2i0000000000
χ674-44-4-444-4400004-4-4-44-44000000000000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ684-44-4-444-4400004-4-4-44-440000000000000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ694-4-444-44-4444-4-4-4-444-4-4400004-44-400000000000000000000000000000000000000000000000000
χ704-4-444-44-44-4-444-4-444-4-440000-44-4400000000000000000000000000000000000000000000000000
χ714-4-444-44-4-244-4-422-2-222-20000-22-2200000000000000000000000000000000000023−23000000000000
χ724-4-444-44-4-244-4-422-2-222-20000-22-22000000000000000000000000000000000000−2323000000000000
χ734-4-444-44-4-2-4-44422-2-222-200002-22-20000000000000000000000000000000000000000−2i32i300000000
χ744-4-444-44-4-2-4-44422-2-222-200002-22-200000000000000000000000000000000000000002i3−2i300000000
χ754-4-44-44-4440000-444-44-4-4000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ764-4-44-44-4440000-444-44-4-40000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ778-88-8-888-8-40000-4444-44-40000000000000000000000000000000000000000000000000000000000
χ788-8-88-88-88-400004-4-44-4440000000000000000000000000000000000000000000000000000000000

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