Finite Group Databasebeta

← Group #10853241

Character table — Group #10853241

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111222222222222444444888888888888888888888881212121212121212121216161616161616161624242424242424242448
order122222223444466666664412121212444444488881212121224242424242424242244444444412121212121212124444488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-111-1-111-1-1111-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11111111
χ5111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1111-1-111-1-1-1-11
χ6111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-111-1-11111-1
χ7111111111111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1
χ8111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ911111111111111111111-1-11111-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1
χ1011111111111111111111-1-11111-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-11111-1-11-1-1-1-1-1-1111
χ1111111111111111111111-1-11111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1-11111-111-1-1-1-1111
χ1211111111111111111111-1-11111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-111111-1-11111-1-1-1
χ1311111111111111111111-1-11111-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-11111-11111-1-1-1-1-1-1-111-1-111-1
χ1411111111111111111111-1-11111-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-1111-1-111-1-11
χ1511111111111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111111-1-1-1-111-1-1-1-1-111-1-11
χ1611111111111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11111111-1-111-1
χ17222222222-2-2-2-2222222222-2-2-2-2-2000000000022-2-20000000022-2-2220000000000000-2000000000
χ18222222222-2-2-2-2222222222-2-2-2-2-2000000000022-2-200000000-2-222-2-200000000000002000000000
χ19222222222-2-2-2-22222222-2-2-2-2-2-220000000000-2-2220000000022-2-2-2-200000000000002000000000
χ20222222222-2-2-2-22222222-2-2-2-2-2-220000000000-2-22200000000-2-222220000000000000-2000000000
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
χ2222222222-12222-1-1-1-1-1-1-122-1-1-1-1222-2-222-2-2-2-2-1-1-1-1111111110000000000-2-1-111-1-1110000000000
χ2322222222-12222-1-1-1-1-1-1-122-1-1-1-12-2-222-2-2-2-2-2-2-1-1-1-1111111110000000000211-1-111-1-10000000000
χ2422222222-12222-1-1-1-1-1-1-122-1-1-1-12-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2111111110000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-22222-2-222-2-21111-1-1-1-111110000000000-211-1-1-1-1110000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-222-2-2-2-2-2-22211111111-1-1-1-1000000000021111-1-1-1-10000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-22222-2-22211111111-1-1-1-10000000000-2-1-1-1-111110000000000
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
χ2922-2-22-22-2222-2-22-222-2-2-20022-2-2000002-200000000000000002-22-20022-2-202-20000000000000000
χ3022-2-22-22-2222-2-22-222-2-2-20022-2-2000002-20000000000000000-22-2200-2-22202-20000000000000000
χ3122-2-22-22-2222-2-22-222-2-2-20022-2-200000-2200000000000000002-22-200-2-2220-220000000000000000
χ3222-2-22-22-2222-2-22-222-2-2-20022-2-200000-220000000000000000-22-220022-2-20-220000000000000000
χ3322-2-22-22-22-2-2222-222-2-2-200-2-22202i−2i000000000000000000002-2-22000000000002i−2i0002i−2i0000000
χ3422-2-22-22-22-2-2222-222-2-2-200-2-22202i−2i00000000000000000000-222-2000000000002i−2i000−2i2i0000000
χ3522-2-22-22-22-2-2222-222-2-2-200-2-2220−2i2i000000000000000000002-2-2200000000000−2i2i000−2i2i0000000
χ3622-2-22-22-22-2-2222-222-2-2-200-2-2220−2i2i00000000000000000000-222-200000000000−2i2i0002i−2i0000000
χ372-2222-2-2-222-2-22-2-22-2-222002-2-220000000002-20000000022-2-20000002i−2i2i−2i0000000000002i−2i00000
χ382-2222-2-2-222-2-22-2-22-2-222002-2-220000000002-20000000022-2-2000000−2i2i−2i2i000000000000−2i2i00000
χ392-2222-2-2-222-2-22-2-22-2-222002-2-22000000000-2200000000-2-2220000002i−2i2i−2i000000000000−2i2i00000
χ402-2222-2-2-222-2-22-2-22-2-222002-2-22000000000-2200000000-2-222000000−2i2i−2i2i0000000000002i−2i00000
χ412-2-2-222-2222-22-2-222-22-2-2002-22-20002-20000000000000000000000002i−2i−2i2i0002-2000000000002i−2i0
χ422-2-2-222-2222-22-2-222-22-2-2002-22-20002-2000000000000000000000000−2i2i2i−2i0002-200000000000−2i2i0
χ432-2-2-222-2222-22-2-222-22-2-2002-22-2000-220000000000000000000000002i−2i−2i2i000-2200000000000−2i2i0
χ442-2-2-222-2222-22-2-222-22-2-2002-22-2000-22000000000000000000000000−2i2i2i−2i000-22000000000002i−2i0
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-2442222-40000000000-2-2220000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-2-4-422224000000000022-2-20000000000000000000000000000000000000
χ47444-4-44-4-4400004-4-4-444-44-40000000000000004-4000000000000000000000000000000000000000
χ48444-4-44-4-4400004-4-4-444-4-44000000000000000-44000000000000000000000000000000000000000
χ49444-4-44-4-4-20000-2222-2-224-4000000000000000-220066−6−66−66−600000000000000000000000000000
χ50444-4-44-4-4-20000-2222-2-224-4000000000000000-2200−6−666−66−6600000000000000000000000000000
χ51444-4-44-4-4-20000-2222-2-22-440000000000000002-20066−6−6−66−6600000000000000000000000000000
χ52444-4-44-4-4-20000-2222-2-22-440000000000000002-200−6−6666−66−600000000000000000000000000000
χ5344-44-4-4-444000044-4-4-4-440000000000000000000000000000000004i−4i00000000000000000000000
χ5444-44-4-4-444000044-4-4-4-44000000000000000000000000000000000−4i4i00000000000000000000000
χ5544-4-44-44-4-244-4-4-22-2-222200-2-222000004-4000000000000000000000000000-220000000000000000
χ5644-4-44-44-4-244-4-4-22-2-222200-2-22200000-440000000000000000000000000002-20000000000000000
χ5744-4-44-44-4-2-4-444-22-2-22220022-2-204i−4i00000000000000000000000000000000000−2i2i000000000000
χ5844-4-44-44-4-2-4-444-22-2-22220022-2-20−4i4i000000000000000000000000000000000002i−2i000000000000
χ594-4444-4-4-44-444-4-4-44-4-44400-444-40000000000000000000000000000000000000000000000000000
χ604-4444-4-4-4-24-4-4422-222-2-200-222-20000000004-400000000-2-22200000000000000000000000000000
χ614-4444-4-4-4-24-4-4422-222-2-200-222-2000000000-440000000022-2-200000000000000000000000000000
χ624-4444-4-4-4-2-444-422-222-2-2002-2-2200000000000000023−2323−23000000000000000000000000000000000
χ634-4444-4-4-4-2-444-422-222-2-2002-2-22000000000000000−2323−2323000000000000000000000000000000000
χ644-44-4-4-44440000-44-44-44-4000000000000022−2200000022−22−2222000000000000000000000000000000000
χ654-44-4-4-44440000-44-44-44-40000000000000−2222000000−222222−22000000000000000000000000000000000
χ664-44-4-4-444-200002-22-22-22000000000000022−22000023−23−222−26−6−6600000000000000000000000000000
χ674-44-4-4-444-200002-22-22-22000000000000022−220000−2323−222−2−666−600000000000000000000000000000
χ684-44-4-4-444-200002-22-22-220000000000000−2222000023−232−2−22−666−600000000000000000000000000000
χ694-44-4-4-444-200002-22-22-220000000000000−22220000−23232−2−226−6−6600000000000000000000000000000
χ704-4-44-444-440000-4-4-444-4400000000000000000000000000000000000000000000000000000−2i22i2000
χ714-4-44-444-440000-4-4-444-44000000000000000000000000000000000000000000000000000002i2−2i2000
χ724-4-4-444-444-44-44-444-44-4-400-44-440000000000000000000000000000000000000000000000000000
χ734-4-4-444-44-24-44-42-2-22-22200-22-220004-40000000000000000000000000000000-2200000000000000
χ744-4-4-444-44-24-44-42-2-22-22200-22-22000-4400000000000000000000000000000002-200000000000000
χ754-4-4-444-44-2-44-442-2-22-222002-22-2000000000000000000000000000000000000000023−230000000000
χ764-4-4-444-44-2-44-442-2-22-222002-22-20000000000000000000000000000000000000000−23230000000000
χ7788-88-8-8-88-40000-4-44444-40000000000000000000000000000000000000000000000000000000000
χ788-8-88-888-8-40000444-4-44-40000000000000000000000000000000000000000000000000000000000

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