Finite Group Databasebeta

← Group #10830995

Character table — Group #10830995

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111111112222222222224444444488888888888888888888121212121212121212121212161616161616161616162424242424244848
order122222223444466666664444121212124444888812121212242424242424242422448888888844121212121212121222244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-11-1-1111-11
χ4111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-111-1-1-11-1
χ51111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-11-1
χ61111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-111-1-1-1-111-11
χ71111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1
χ81111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111
χ911111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-111-111-1-1
χ1011111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11-1-111
χ1111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1111-1
χ1211111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-11111-1-1-11
χ1311111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-111-1-1-1-111-111-1-1-1-11
χ1411111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-1111-1-11111-1
χ1511111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111
χ1611111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1
χ17222222222-2-2-2-2222222222-2-2-2-2-2-20000000022-2-20000000022-2-2000000000000000000200-20000
χ18222222222-2-2-2-2222222222-2-2-2-2-2-20000000022-2-200000000-2-222000000000000000000-20020000
χ19222222222-2-2-2-22222222-2-222-2-2-2-200000000-2-2220000000022-2-2000000000000000000-20020000
χ20222222222-2-2-2-22222222-2-222-2-2-2-200000000-2-22200000000-2-222000000000000000000200-20000
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
χ2222222222-12222-1-1-1-1-1-1-12222-1-1-1-122-2-2-2-2-2-2-1-1-1-1111111110000000000002-2-1-111-1-11100000000
χ2322222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-222-2-2-2-2-1-1-1-111111111000000000000-2211-1-111-1-100000000
χ2422222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-21111111100000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1222222-2-21111-1-1-1-11111000000000000-2-21111-1-1-1-100000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-2-2-2-22211111111-1-1-1-1000000000000-2211-1-1-1-11100000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-222-2-22211111111-1-1-1-10000000000002-2-1-11111-1-100000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-222-2-21111-1-1-1-1111100000000000022-1-1-1-1111100000000
χ2922-2-2-2-22222-2-222-2-2-22-2200002-2-222-20000000000000000000000000022-2-20000002-20002-200000
χ3022-2-2-2-22222-2-222-2-2-22-2200002-2-222-200000000000000000000000000-2-2220000002-2000-2200000
χ3122-2-2-2-22222-2-222-2-2-22-2200002-2-22-220000000000000000000000000022-2-2000000-22000-2200000
χ3222-2-2-2-22222-2-222-2-2-22-2200002-2-22-2200000000000000000000000000-2-222000000-220002-200000
χ332-222-2-2-22222-2-2-2-222-2-22000022-2-20000002i−2i000000002i2i−2i−2i2-22-22i2i−2i−2i0000000000000000000000
χ342-222-2-2-22222-2-2-2-222-2-22000022-2-20000002i−2i000000002i2i−2i−2i-22-22−2i−2i2i2i0000000000000000000000
χ352-222-2-2-22222-2-2-2-222-2-22000022-2-2000000−2i2i00000000−2i−2i2i2i2-22-2−2i−2i2i2i0000000000000000000000
χ362-222-2-2-22222-2-2-2-222-2-22000022-2-2000000−2i2i00000000−2i−2i2i2i-22-222i2i−2i−2i0000000000000000000000
χ372-222-2-2-222-2-222-2-222-2-220000-2-22200002-200000022-2-200002-2-2200002-22-2000000000000000000
χ382-222-2-2-222-2-222-2-222-2-220000-2-22200002-200000022-2-20000-222-20000-22-22000000000000000000
χ392-222-2-2-222-2-222-2-222-2-220000-2-2220000-22000000-2-22200002-2-220000-22-22000000000000000000
χ402-222-2-2-222-2-222-2-222-2-220000-2-2220000-22000000-2-2220000-222-200002-22-2000000000000000000
χ412-2-2-222-222-22-22-22-2-2-2220000-22-22002-20000000000000000000000002-2-22000000002-200002-200
χ422-2-2-222-222-22-22-22-2-2-2220000-22-22002-2000000000000000000000000-222-2000000002-20000-2200
χ432-2-2-222-222-22-22-22-2-2-2220000-22-2200-220000000000000000000000002-2-2200000000-220000-2200
χ442-2-2-222-222-22-22-22-2-2-2220000-22-2200-22000000000000000000000000-222-200000000-2200002-200
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-244-4-4222200000000-2-22200000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-2-4-44422220000000022-2-200000000000000000000000000000000000000
χ47444-44-4-4-4400004-44-4-44-40000000000000000000000000000000022−2222−220000000000000000000000
χ48444-44-4-4-4400004-44-4-44-400000000000000000000000000000000−2222−22220000000000000000000000
χ4944-44-44-4-44000044-44-4-4-44-4000000000000004-40000000000000000000000000000000000000000
χ5044-44-44-4-44000044-44-4-4-4-4400000000000000-440000000000000000000000000000000000000000
χ5144-44-44-4-4-20000-2-22-22224-400000000000000-2200i6−i6i6−i6i6−i6i6−i6000000000000000000000000000000
χ5244-44-44-4-4-20000-2-22-22224-400000000000000-2200−i6i6−i6i6−i6i6−i6i6000000000000000000000000000000
χ5344-44-44-4-4-20000-2-22-2222-44000000000000002-200i6−i6i6−i6−i6i6−i6i6000000000000000000000000000000
χ5444-44-44-4-4-20000-2-22-2222-44000000000000002-200−i6i6−i6i6i6−i6i6−i6000000000000000000000000000000
χ5544-4-4-4-4444-444-44-4-4-44-440000-444-400000000000000000000000000000000000000000000000000
χ5644-4-4-4-444-24-4-44-2222-22-20000-222-24-4000000000000000000000000000000000000-220000000000
χ5744-4-4-4-444-24-4-44-2222-22-20000-222-2-440000000000000000000000000000000000002-20000000000
χ5844-4-4-4-444-2-444-4-2222-22-200002-2-22000000000000000000000000000000000023−2300000000000000
χ5944-4-4-4-444-2-444-4-2222-22-200002-2-220000000000000000000000000000000000−232300000000000000
χ604-444-4-4-44-244-4-422-2-222-20000-2-2220000004i−4i00000000−2i−2i2i2i000000000000000000000000000000
χ614-444-4-4-44-244-4-422-2-222-20000-2-222000000−4i4i000000002i2i−2i−2i000000000000000000000000000000
χ624-444-4-4-44-2-4-44422-2-222-2000022-2-200004-4000000-2-2220000000000000000000000000000000000
χ634-444-4-4-44-2-4-44422-2-222-2000022-2-20000-4400000022-2-20000000000000000000000000000000000
χ644-44-4-444-440000-444-44-4-400000000000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ654-44-4-444-440000-444-44-4-4000000000000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ664-4-444-44-440000-4-4-4444-4004i−4i000000000000004i−4i00000000000000000000000000000000000000
χ674-4-444-44-440000-4-4-4444-400−4i4i00000000000000−4i4i00000000000000000000000000000000000000
χ684-4-444-44-4-20000222-2-2-22004i−4i00000000000000−2i2ii6−i6−i6i66−6−66000000000000000000000000000000
χ694-4-444-44-4-20000222-2-2-22004i−4i00000000000000−2i2i−i6i6i6−i6−666−6000000000000000000000000000000
χ704-4-444-44-4-20000222-2-2-2200−4i4i000000000000002i−2ii6−i6−i6i6−666−6000000000000000000000000000000
χ714-4-444-44-4-20000222-2-2-2200−4i4i000000000000002i−2i−i6i6i6−i66−6−66000000000000000000000000000000
χ724-4-4-444-4444-44-4-44-4-4-44400004-44-400000000000000000000000000000000000000000000000000
χ734-4-4-444-44-24-44-42-2222-2-20000-22-2200000000000000000000000000000000000023−23000000000000
χ744-4-4-444-44-24-44-42-2222-2-20000-22-22000000000000000000000000000000000000−2323000000000000
χ754-4-4-444-44-2-44-442-2222-2-200002-22-2004-4000000000000000000000000000000000000-2200000000
χ764-4-4-444-44-2-44-442-2222-2-200002-22-200-440000000000000000000000000000000000002-200000000
χ77888-88-8-8-8-40000-44-444-440000000000000000000000000000000000000000000000000000000000
χ788-88-8-888-8-400004-4-44-4440000000000000000000000000000000000000000000000000000000000

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