Finite Group Databasebeta

← Group #11882321

Character table — Group #11882321

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444488888888121212121212121212121212121212121212121212121212161616161616161618181818242424243636484848487272
order12222233444466666636666666121212121212121224661212121288888888242424242424242424242424242424246666121212124444244444612121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-11-11-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-11-11-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ51111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1111
χ71111111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-11-111
χ81111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111-1-1111-1-111111111-1-1-1-11111-1-11-1-1111-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-1-1111-1-11-1
χ101111-1-1111-1-111111111-1-1-1-11111-1-11-1-1111-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11-11-1-11-11
χ111111-1-1111-1-111111111-1-1-1-11111-1-11-1-1111-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-111-1-11
χ121111-1-1111-1-111111111-1-1-1-11111-1-11-1-1111-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-11-11-11-1-1111-1
χ131111-1-1111-1-111111111-1-1-1-11111-1-11-1-111-11-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-11-11-11-1-111-11
χ141111-1-1111-1-111111111-1-1-1-11111-1-11-1-111-11-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-1-111-11-1
χ151111-1-1111-1-111111111-1-1-1-11111-1-11-1-111-11-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-11-11-1-111-1
χ161111-1-1111-1-111111111-1-1-1-11111-1-11-1-111-11-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11-11-1-1111-1-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-20022-2-2-2-20000000000000000000000000000000022-2-200002-2000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-20022-2-2-2-200000000000000000000000000000000-2-2220000-22000000
χ192222222-12222-12-122-1-122-1-1-1-1-1-1-1-1222-1222-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002-1-1-12-1-1-10000200200-10-1000
χ202222222-12222-12-122-1-122-1-1-1-1-1-1-1-1222-1222-1-1-1-1-1-1-2-2-2-2000011111111000000002-1-1-12-1-1-10000-200-200101000
χ212222222-12222-12-122-1-122-1-1-1-1-1-1-1-1222-12-2-2-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-2111-21110000-200-200101000
χ222222222-12222-12-122-1-122-1-1-1-1-1-1-1-1222-12-2-2-1-1-1-1-1-1-2-2-2-200001111111100000000-2111-21110000200200-10-1000
χ23222222-1222222-12-1-12-1-1-122-1-1-1222-1-1-12-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-12-1-1-12-1-100000220000-10-100
χ24222222-1222222-12-1-12-1-1-122-1-1-1222-1-1-12-122-1-1-1-1-1-10000-2-2-2-20000000011111111-12-1-1-12-1-100000-2-2000010100
χ25222222-1222222-12-1-12-1-1-122-1-1-1222-1-1-12-1-2-2-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-11-2111-21100000-2-2000010100
χ26222222-1222222-12-1-12-1-1-122-1-1-1222-1-1-12-1-2-2-1-1-1-1-1-10000-2-2-2-200000000111111111-2111-21100000220000-10-100
χ272222-2-222-222-22222222-2-2-2-2222-222-222-2-200-2-2-2-2220000000000000000000000000000000022220000-2-2000000
χ282222-2-222-222-22222222-2-2-2-2222-222-222-2-200-2-2-2-22200000000000000000000000000000000-2-2-2-2000022000000
χ292222-2-22-12-2-22-12-122-1-1-2-211-1-1-1-1112-2-2-122-211-1-11122-2-20000-1-1-1-11111000000002-1-1-1-21110000200-200-101000
χ302222-2-22-12-2-22-12-122-1-1-2-211-1-1-1-1112-2-2-122-211-1-111-2-22200001111-1-1-1-1000000002-1-1-1-21110000-20020010-1000
χ312222-2-22-12-2-22-12-122-1-1-2-211-1-1-1-1112-2-2-12-2211-1-11122-2-20000-1-1-1-1111100000000-21112-1-1-10000-20020010-1000
χ322222-2-22-12-2-22-12-122-1-1-2-211-1-1-1-1112-2-2-12-2211-1-111-2-22200001111-1-1-1-100000000-21112-1-1-10000200-200-101000
χ332222-2-2-122-2-222-12-1-12-111-2-2-1-1-12-2-2-1112-12-211-1-111000022-2-200000000-1-1-1-11111-12-1-11-21100000-220000-10100
χ342222-2-2-122-2-222-12-1-12-111-2-2-1-1-12-2-2-1112-12-211-1-1110000-2-222000000001111-1-1-1-1-12-1-11-211000002-2000010-100
χ352222-2-2-122-2-222-12-1-12-111-2-2-1-1-12-2-2-1112-1-2211-1-111000022-2-200000000-1-1-1-111111-211-12-1-1000002-2000010-100
χ362222-2-2-122-2-222-12-1-12-111-2-2-1-1-12-2-2-1112-1-2211-1-1110000-2-222000000001111-1-1-1-11-211-12-1-100000-220000-10100
χ372-22-2002202i−2i02-2-22-2-2200002-2-202i−2i02i−2i000000002i−2i2−2−i2i22−2−i2i222−2−2−i2−i2i2i222−2−2−i2−i2i2i2000000002-22i−2i000000000000
χ382-22-2002202i−2i02-2-22-2-2200002-2-202i−2i02i−2i000000002i−2i2−2−i2i2−22i2−i222−2−2−i2−i2i2i2−2−222i2i2−i2−i200000000-22−2i2i000000000000
χ392-22-2002202i−2i02-2-22-2-2200002-2-202i−2i02i−2i000000002i−2i−22i2−i22−2−i2i2−2−222i2i2−i2−i222−2−2−i2−i2i2i200000000-22−2i2i000000000000
χ402-22-2002202i−2i02-2-22-2-2200002-2-202i−2i02i−2i000000002i−2i−22i2−i2−22i2−i2−2−222i2i2−i2−i2−2−222i2i2−i2−i2000000002-22i−2i000000000000
χ412-22-200220−2i2i02-2-22-2-2200002-2-20−2i2i0−2i2i00000000−2i2i2−2i2−i22−2i2−i222−2−2i2i2−i2−i222−2−2i2i2−i2−i2000000002-2−2i2i000000000000
χ422-22-200220−2i2i02-2-22-2-2200002-2-20−2i2i0−2i2i00000000−2i2i2−2i2−i2−22−i2i222−2−2i2i2−i2−i2−2−222−i2−i2i2i200000000-222i−2i000000000000
χ432-22-200220−2i2i02-2-22-2-2200002-2-20−2i2i0−2i2i00000000−2i2i−22−i2i22−2i2−i2−2−222−i2−i2i2i222−2−2i2i2−i2−i200000000-222i−2i000000000000
χ442-22-200220−2i2i02-2-22-2-2200002-2-20−2i2i0−2i2i00000000−2i2i−22−i2i2−22−i2i2−2−222−i2−i2i2i2−2−222−i2−i2i2i2000000002-2−2i2i000000000000
χ454444444-2-4-4-4-4-24-244-2-244-2-2-2-2-2222-4-4-42-400-2-22222000000000000000000000000000000000000000000000000
χ46444444-24-4-4-4-44-24-2-24-2-2-244-2-2-2-4-4-4222-4200-2-22222000000000000000000000000000000000000000000000000
χ47444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-244111111000000000000000000000000-2-211-2-2110000000000000000
χ48444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-2-4-411111100000000000000000000000022-1-122-1-10000000000000000
χ49444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222220011-1-1-1-1000000000000000000000000003-3003-30000000000000000
χ50444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222220011-1-1-1-100000000000000000000000000-3300-330000000000000000
χ514444-4-44-2-444-4-24-244-2-2-4-422-2-2-22-2-2-4442-4002222-2-2000000000000000000000000000000000000000000000000
χ524444-4-4-24-444-44-24-2-24-222-4-4-2-2-2-4442-2-2-42002222-2-2000000000000000000000000000000000000000000000000
χ534444-4-4-2-24-4-44-2-2-2-2-2-212222111-222-222-2-24-4-1-111-1-1000000000000000000000000-2-21122-1-10000000000000000
χ544444-4-4-2-24-4-44-2-2-2-2-2-212222111-222-222-2-2-44-1-111-1-100000000000000000000000022-1-1-2-2110000000000000000
χ554444-4-4-2-2-444-4-2-2-2-2-2-2122221112-2-22-2-22200-1-1-1-111000000000000000000000000003-300-330000000000000000
χ564444-4-4-2-2-444-4-2-2-2-2-2-2122221112-2-22-2-22200-1-1-1-11100000000000000000000000000-33003-30000000000000000
χ5744-4-40044400-4-4-44-44-440000-44-4400400-4-400004-400000000000000000000000000000000000000000000000000
χ5844-4-40044-4004-4-44-44-440000-44-4-400-400440000-4400000000000000000000000000000000000000000000000000
χ5944-4-4004-2400-42-4-2-442-200002-22-2004002-40000-220000000000000023−2323−2300000000000000000000000000000000
χ6044-4-4004-2400-42-4-2-442-200002-22-2004002-40000-2200000000000000−2323−232300000000000000000000000000000000
χ6144-4-4004-2-40042-4-2-442-200002-22200-400-2400002-20000000000−2i32i3−2i32i3000000000000000000000000000000000000
χ6244-4-4004-2-40042-4-2-442-200002-22200-400-2400002-200000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ6344-4-400-24400-4-4242-2-4-200002-22400-200-420000-2200000000000000000023−2323−230000000000000000000000000000
χ6444-4-400-24400-4-4242-2-4-200002-22400-200-420000-22000000000000000000−2323−23230000000000000000000000000000
χ6544-4-400-24-4004-4242-2-4-200002-22-4002004-200002-20000000000000000000000−2i32i3−2i32i3000000000000000000000000
χ6644-4-400-24-4004-4242-2-4-200002-22-4002004-200002-200000000000000000000002i3−2i32i3−2i3000000000000000000000000
χ674-44-4004-204i−4i0-2-424-42-20000-2220−2i2i04i−4i00000000−2i2i22−22−2i22i20000−2−222i2i2−i2−i200000000000000000000000000000000
χ684-44-4004-204i−4i0-2-424-42-20000-2220−2i2i04i−4i00000000−2i2i−22222i2−2i2000022−2−2−i2−i2i2i200000000000000000000000000000000
χ694-44-4004-20−4i4i0-2-424-42-20000-22202i−2i0−4i4i000000002i−2i22−222i2−2i20000−2−222−i2−i2i2i200000000000000000000000000000000
χ704-44-4004-20−4i4i0-2-424-42-20000-22202i−2i0−4i4i000000002i−2i−2222−2i22i2000022−2−2i2i2−i2−i200000000000000000000000000000000
χ714-44-400-2404i−4i042-4-22-4-20000-22204i−4i0−2i2i00000000−2i2i000022−22−2i22i200000000−2−222i2i2−i2−i2000000000000000000000000
χ724-44-400-2404i−4i042-4-22-4-20000-22204i−4i0−2i2i00000000−2i2i0000−22222i2−2i20000000022−2−2−i2−i2i2i2000000000000000000000000
χ734-44-400-240−4i4i042-4-22-4-20000-2220−4i4i02i−2i000000002i−2i000022−222i2−2i200000000−2−222−i2−i2i2i2000000000000000000000000
χ744-44-400-240−4i4i042-4-22-4-20000-2220−4i4i02i−2i000000002i−2i0000−2222−2i22i20000000022−2−2i2i2−i2−i2000000000000000000000000
χ754-4-444-4440000-44-4-4-4444-44-4-4-4400000000004-40000000000000000000000000000000000000000000000000000
χ764-4-444-44-20000242-4-4-2-24-4-2222-20000000000-22000000000000i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ774-4-444-44-20000242-4-4-2-24-4-2222-20000000000-22000000000000−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ784-4-444-4-240000-4-2-4224-2-224-422-20000000000-22000000000000000000006−6−666−6−66000000000000000000000000
χ794-4-444-4-240000-4-2-4224-2-224-422-20000000000-2200000000000000000000−666−6−666−6000000000000000000000000
χ804-4-44-44440000-44-4-4-444-44-44-4-440000000000-440000000000000000000000000000000000000000000000000000
χ814-4-44-444-20000242-4-4-2-2-442-222-200000000002-2000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ824-4-44-444-20000242-4-4-2-2-442-222-200000000002-2000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000
χ834-4-44-44-240000-4-2-4224-22-2-4422-200000000002-2000000000000000000006−6−66−666−6000000000000000000000000
χ844-4-44-44-240000-4-2-4224-22-2-4422-200000000002-200000000000000000000−666−66−6−66000000000000000000000000
χ8588-8-800-4-4800-844-44-4420000-22-2-400-4004400002-200000000000000000000000000000000000000000000000000
χ8688-8-800-4-4-800844-44-4420000-22-2400400-4-40000-2200000000000000000000000000000000000000000000000000
χ878-88-800-4-408i−8i0-444-444200002-2-20−4i4i0−4i4i000000002i−2i000000000000000000000000000000000000000000000000
χ888-88-800-4-40−8i8i0-444-444200002-2-204i−4i04i−4i00000000−2i2i000000000000000000000000000000000000000000000000
χ898-8-888-8-4-400004-4444-42-44-44-2-2200000000002-20000000000000000000000000000000000000000000000000000
χ908-8-88-88-4-400004-4444-424-44-4-2-220000000000-220000000000000000000000000000000000000000000000000000

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