Finite Group Databasebeta

← Group #10827587

Character table — Group #10827587

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111222222222222444444888888888888888888888881212121212121212121216161616161616161624242424242424242448
order122222223444466666664412121212444444488881212121224242424242424242244444444412121212121212122444488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111111-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111
χ511111111111111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-11-1-111-1-1-1-11
χ611111111111111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-11111-1
χ711111111111111111111111111-1-1-1-11-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1
χ811111111111111111111111111-1-1-1-11-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ911111111111111111111-1-1111111-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-1-1111111-1-1-1
χ1011111111111111111111-1-1111111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-11111-1-11-1-1-1-1-1-1111
χ1111111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-111-1-1-111-1-1-1-1111
χ1211111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111111-1-111-1-11-1-11111-1-1-1
χ1311111111111111111111-1-11111-1-111-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-111-1-1-111-1-111-1
χ1411111111111111111111-1-11111-1-111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-111111-1-111-1-11
χ1511111111111111111111-1-11111-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1111-1-1-1-111-1-1-1-1-111-1-11
χ1611111111111111111111-1-11111-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-111-1
χ17222222222-2-2-2-2222222222-2-2-2-20000-2000000-2-22200000000220000-2-2-2-20000000002000000000
χ18222222222-2-2-2-2222222222-2-2-2-20000-2000000-2-22200000000-2-200002222000000000-2000000000
χ19222222222-2-2-2-22222222-2-2-2-2-2-20000200000022-2-200000000220000-2-222000000000-2000000000
χ20222222222-2-2-2-22222222-2-2-2-2-2-20000200000022-2-200000000-2-2000022-2-20000000002000000000
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
χ2222222222-12222-1-1-1-1-1-1-122-1-1-1-122222-2-2-2-2-2-2-1-1-1-1111111110000000000-21111-1-1-1-10000000000
χ2322222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2222-2-2-2-2-1-1-1-11111111100000000002-1-1-1-111110000000000
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
χ2522222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-2-2-22222-2-21111-1-1-1-111110000000000-211-1-1-1-1110000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-2-2-2-2-2-2-22211111111-1-1-1-100000000002-1-111-1-1110000000000
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
χ2822222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-222-2-2-222-2-21111-1-1-1-1111100000000002-1-11111-1-10000000000
χ2922-22-2-2-22222-2-22-2-2-222-2002-22-20000000002i−2i000000002i2i−2i−2i002i2i−2i−2i00000000000000002-200000
χ3022-22-2-2-22222-2-22-2-2-222-2002-22-20000000002i−2i000000002i2i−2i−2i00−2i−2i2i2i0000000000000000-2200000
χ3122-22-2-2-22222-2-22-2-2-222-2002-22-2000000000−2i2i00000000−2i−2i2i2i002i2i−2i−2i0000000000000000-2200000
χ3222-22-2-2-22222-2-22-2-2-222-2002-22-2000000000−2i2i00000000−2i−2i2i2i00−2i−2i2i2i00000000000000002-200000
χ332-22-2-22-2222-22-2-222-2-22-20022-2-2000002-20000000000000000002i−2i2i−2i00000002-2000000000002i−2i0
χ342-22-2-22-2222-22-2-222-2-22-20022-2-2000002-2000000000000000000−2i2i−2i2i00000002-200000000000−2i2i0
χ352-22-2-22-2222-22-2-222-2-22-20022-2-200000-220000000000000000002i−2i2i−2i0000000-2200000000000−2i2i0
χ362-22-2-22-2222-22-2-222-2-22-20022-2-200000-22000000000000000000−2i2i−2i2i0000000-22000000000002i−2i0
χ372-2-2-22-22222-2-22-2-2-22-222002-2-22002-200000000000000000002-22-2-222-20000000002-20000000000
χ382-2-2-22-22222-2-22-2-2-22-222002-2-22002-20000000000000000000-22-222-2-220000000002-20000000000
χ392-2-2-22-22222-2-22-2-2-22-222002-2-2200-2200000000000000000002-2-222-22-2000000000-220000000000
χ402-2-2-22-22222-2-22-2-2-22-222002-2-2200-220000000000000000000-222-2-22-22000000000-220000000000
χ412-2-2-22-2222-222-2-2-2-22-22200-222-22-20000000000000000000002-20000-2200000002-20002-20000000
χ422-2-2-22-2222-222-2-2-2-22-22200-222-22-2000000000000000000000-2200002-200000002-2000-220000000
χ432-2-2-22-2222-222-2-2-2-22-22200-222-2-220000000000000000000002-20000-220000000-22000-220000000
χ442-2-2-22-2222-222-2-2-2-22-22200-222-2-22000000000000000000000-2200002-20000000-220002-20000000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-24422220000-400000022-2-20000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-2-4-4222200004000000-2-2220000000000000000000000000000000000000
χ47444-44-4-4-44000044-4-4-4-444-4000000000000000004-40000000000000000000000000000000000000
χ48444-44-4-4-44000044-4-4-4-44-4400000000000000000-440000000000000000000000000000000000000
χ49444-44-4-4-4-20000-2-22222-24-400000000000000000-2266−6−66−66−600000000000000000000000000000
χ50444-44-4-4-4-20000-2-22222-24-400000000000000000-22−6−666−66−6600000000000000000000000000000
χ51444-44-4-4-4-20000-2-22222-2-44000000000000000002-266−6−6−66−6600000000000000000000000000000
χ52444-44-4-4-4-20000-2-22222-2-44000000000000000002-2−6−6666−66−600000000000000000000000000000
χ5344-44-4-4-444-4-4444-4-4-444-400-44-440000000000000000000000000000000000000000000000000000
χ5444-44-4-4-44-244-4-4-2222-2-2200-22-220000000004i−4i00000000−2i−2i2i2i00000000000000000000000000000
χ5544-44-4-4-44-244-4-4-2222-2-2200-22-22000000000−4i4i000000002i2i−2i−2i00000000000000000000000000000
χ5644-44-4-4-44-2-4-444-2222-2-22002-22-200000000000000023−2323−23000000000000000000000000000000000
χ5744-44-4-4-44-2-4-444-2222-2-22002-22-2000000000000000−2323−2323000000000000000000000000000000000
χ5844-4-4-444-4400004-444-4-4-4000000000000022−2200000022−22−2222000000000000000000000000000000000
χ5944-4-4-444-4400004-444-4-4-40000000000000−2222000000−222222−22000000000000000000000000000000000
χ6044-4-4-444-4-20000-22-2-2222000000000000022−2200−2i32i300−222−2i6−i6−i6i600000000000000000000000000000
χ6144-4-4-444-4-20000-22-2-2222000000000000022−22002i3−2i300−222−2−i6i6i6−i600000000000000000000000000000
χ6244-4-4-444-4-20000-22-2-22220000000000000−222200−2i32i3002−2−22−i6i6i6−i600000000000000000000000000000
χ6344-4-4-444-4-20000-22-2-22220000000000000−2222002i3−2i3002−2−22i6−i6−i6i600000000000000000000000000000
χ644-444-4-44-440000-44-444-4-40000000000000000000000000000000000000000000000000000022−22000
χ654-444-4-44-440000-44-444-4-400000000000000000000000000000000000000000000000000000−2222000
χ664-44-4-44-444-44-44-444-4-44-400-4-4440000000000000000000000000000000000000000000000000000
χ674-44-4-44-44-24-44-42-2-222-2200-2-222000004-400000000000000000000000000000-2200000000000000
χ684-44-4-44-44-24-44-42-2-222-2200-2-22200000-44000000000000000000000000000002-200000000000000
χ694-44-4-44-44-2-44-442-2-222-220022-2-2000000000000000000000000000000000023−230000000000000000
χ704-44-4-44-44-2-44-442-2-222-220022-2-20000000000000000000000000000000000−23230000000000000000
χ714-4-4444-4-440000-4-44-44-4400000000000000000000000000000000000004i−4i0000000000000000000
χ724-4-4444-4-440000-4-44-44-440000000000000000000000000000000000000−4i4i0000000000000000000
χ734-4-4-44-444-24-4-44222-22-2-200-222-2004-4000000000000000000000000000000000000-220000000000
χ744-4-4-44-444-24-4-44222-22-2-200-222-200-440000000000000000000000000000000000002-20000000000
χ754-4-4-44-444-2-444-4222-22-2-2002-2-224-4000000000000000000000000000000000000-22000000000000
χ764-4-4-44-444-2-444-4222-22-2-2002-2-22-440000000000000000000000000000000000002-2000000000000
χ778-888-8-88-8-400004-44-4-4440000000000000000000000000000000000000000000000000000000000
χ788-8-8888-8-8-4000044-44-44-40000000000000000000000000000000000000000000000000000000000

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