Finite Group Databasebeta

← Group #11868037

Character table — Group #11868037

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order12442223344466121212123666666666121212121212121212122466666666661212121212121212121222448888888866888812122424242424242424242424248824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1111111-1-1
χ911-1-11-1-111-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-11-11-111-1-111-1-11-11-11-11-111-1-111-1-111-1-11-11-1
χ1011-1-11-1-111-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-11-11-1-1-111-1-1111-11-1-111-111-1-1-1-111-1-111-11-11
χ1111-1-11-1-111-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-1-11-1111-1-1-1-111-11-111-1-11-1-11111-1-111-1-1-11-11
χ1211-1-11-1-111-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-1-11-11-1-11111-1-1-11-11-11-11-1-111-1-111-1-1111-11-1
χ1311-1-11-1-111-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-111111111111-11-111-1-111-1-11-1-11-111-1-1-11111-1-1-1-1111-1-11
χ1411-1-11-1-111-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-111-1-1111-1-111-11-1-1-111-1-11111-1-1-111-1
χ1511-1-11-1-111-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-11111111111-11-1111-1-1-1-111-111-1-11-1111-1-111-1-1-1-111-111-1
χ1611-1-11-1-111-11111-1-1-1-111-1-11-1-1111-11-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-11111-1-1-111-11-1-1111-1-1-1-11111-1-11-1-11
χ1722222222-12222-122-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222200000000-1-12200-1-1-1-1-1-1000000000000
χ1822222222-12222-122-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000000011-2-200111111000000000000
χ1922222222-12222-122-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-122-1-2-2-2-211-1-11111-2-211-1-11111222200000000-1-1-2-200-1-11111000000000000
χ2022222222-12222-122-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-122-1-2-2-2-211-1-11111-2-211-1-11111-2-2-2-20000000011220011-1-1-1-1000000000000
χ212222222-12222-12-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000022220000000022000000-1-1-1-1-1-1-1-10000
χ222222222-12222-12-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000-2-2000000111111110000
χ232222222-12222-12-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-111110000222200000000-2-2000000-1-1-1-111110000
χ242222222-12222-12-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-1-12-2-211-2-2-1-1111111-2-2-1-111110000-2-2-2-200000000220000001111-1-1-1-10000
χ2522222-2-2222-2-222222222-2-22-2-22222-222222-2-2-2000000-2-200000000-2-2000000002i−2i2i−2i00000000000000002i−2i2i−2i00000000
χ2622222-2-2222-2-222222222-2-22-2-22222-222222-2-2-2000000-2-200000000-2-200000000−2i2i−2i2i0000000000000000−2i2i−2i2i00000000
χ2722222-2-2-122-2-2-12-1-122-1-1112-2-2-1-1-1-1-22-1-1-1-111-200−i3i30011−i3−i3i3i3−i3i30011−i3−i3i3i300002i−2i2i−2i0000000000000000−ii−ii3−33−30000
χ2822222-2-2-122-2-2-12-1-122-1-1112-2-2-1-1-1-1-22-1-1-1-111-200−i3i30011−i3−i3i3i3−i3i30011−i3−i3i3i30000−2i2i−2i2i0000000000000000i−ii−i−33−330000
χ2922222-2-2-122-2-2-12-1-122-1-1112-2-2-1-1-1-1-22-1-1-1-111-200i3−i30011i3i3−i3−i3i3−i30011i3i3−i3−i300002i−2i2i−2i0000000000000000−ii−ii−33−330000
χ3022222-2-2-122-2-2-12-1-122-1-1112-2-2-1-1-1-1-22-1-1-1-111-200i3−i30011i3i3−i3−i3i3−i30011i3i3−i3−i30000−2i2i−2i2i0000000000000000i−ii−i3−33−30000
χ312222-22-222-22-22222222-22-2-22-2-2-22-2-2-222-2-22-220000002-2000000002-200002-2-22000000002-20000-220000000000000000
χ322222-22-222-22-22222222-22-2-22-2-2-22-2-2-222-2-22-220000002-2000000002-20000-222-200000000-2200002-20000000000000000
χ332222-22-22-1-22-22-122-1-1-1-22-21-1111-1-211-1-1112-2-10000−i3i3-11−i3i3−i3i300−i3i3-11−i3i3−i3i32-2-2200000000-1100001-1−i3i3−i3i3000000000000
χ342222-22-22-1-22-22-122-1-1-1-22-21-1111-1-211-1-1112-2-10000−i3i3-11−i3i3−i3i300−i3i3-11−i3i3−i3i3-222-2000000001-10000-11i3−i3i3−i3000000000000
χ352222-22-22-1-22-22-122-1-1-1-22-21-1111-1-211-1-1112-2-10000i3−i3-11i3−i3i3−i300i3−i3-11i3−i3i3−i32-2-2200000000-1100001-1i3−i3i3−i3000000000000
χ362222-22-22-1-22-22-122-1-1-1-22-21-1111-1-211-1-1112-2-10000i3−i3-11i3−i3i3−i300i3−i3-11i3−i3i3−i3-222-2000000001-10000-11−i3i3−i3i3000000000000
χ372222-2-2222-2-222222222-2-22-2-22-2-22-22-222-2-2-22-2000000-2200000000-22000000000000222200000000000000000000-2-200
χ382222-2-2222-2-222222222-2-22-2-22-2-22-22-222-2-2-22-2000000-2200000000-22000000000000-2-2-2-2000000000000000000002200
χ3922-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000002i−2i−2i2i00000000000000002i−2i−2i2i00000000
χ4022-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000
χ4122-2-2222-12-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2-2111111-200−i3i300-1-1−i3−i3i3i3i3−i30011i3i3−i3−i300002i−2i−2i2i0000000000000000−iii−i3−3−330000
χ4222-2-2222-12-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2-2111111-200−i3i300-1-1−i3−i3i3i3i3−i30011i3i3−i3−i30000−2i2i2i−2i0000000000000000i−i−ii−333−30000
χ4322-2-2222-12-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2-2111111-200i3−i300-1-1i3i3−i3−i3−i3i30011−i3−i3i3i300002i−2i−2i2i0000000000000000−iii−i−333−30000
χ4422-2-2222-12-2-2-2-1211-2-2-1-1-1-1222-1-1-11-2-2111111-200i3−i300-1-1i3i3−i3−i3−i3i30011−i3−i3i3i30000−2i2i2i−2i0000000000000000i−i−ii3−3−330000
χ4522-2-22-2-22-1-2222-1-2-211-12-2-2-111-1-1-1-2-11111122-12-222-1-111-1-1-1-1-2-211-1-111112-22-200000000-112-200-11-1-111000000000000
χ4622-2-22-2-22-1-2222-1-2-211-12-2-2-111-1-1-1-2-11111122-12-222-1-111-1-1-1-1-2-211-1-11111-22-22000000001-1-22001-111-1-1000000000000
χ4722-2-22-2-22-1-2222-1-2-211-12-2-2-111-1-1-1-2-11111122-1-22-2-21111111122-1-1-1-1-1-1-1-12-22-200000000-11-2200-1111-1-1000000000000
χ4822-2-22-2-22-1-2222-1-2-211-12-2-2-111-1-1-1-2-11111122-1-22-2-21111111122-1-1-1-1-1-1-1-1-22-22000000001-12-2001-1-1-111000000000000
χ4922-2-22-2-2-12-222-1211-2-2-1-1112-2-2-1-1-112-21111-1-122-2-1-12211-1-1-1-111-2-2-1-11111000022-2-2000000002-2000000-1-111-1-1110000
χ5022-2-22-2-2-12-222-1211-2-2-1-1112-2-2-1-1-112-21111-1-122-2-1-12211-1-1-1-111-2-2-1-111110000-2-22200000000-2200000011-1-111-1-10000
χ5122-2-22-2-2-12-222-1211-2-2-1-1112-2-2-1-1-112-21111-1-12-2211-2-2111111-1-122-1-1-1-1-1-1000022-2-200000000-22000000-1-11111-1-10000
χ5222-2-22-2-2-12-222-1211-2-2-1-1112-2-2-1-1-112-21111-1-12-2211-2-2111111-1-122-1-1-1-1-1-10000-2-222000000002-200000011-1-1-1-1110000
χ5322-2-2-22-2222-2222-2-2-2-22-22-2-22-2-2-22222-2-222-22-20000002-200000000-2200000000000022-2-200000000000000000000-2200
χ5422-2-2-22-2222-2222-2-2-2-22-22-2-22-2-2-22222-2-222-22-20000002-200000000-22000000000000-2-222000000000000000000002-200
χ5522-2-2-2-222222-222-2-2-2-22-2-22-2-22-2-222-22-2-2222-22000000-22000000002-2000022-2-200000000220000-2-20000000000000000
χ5622-2-2-2-222222-222-2-2-2-22-2-22-2-22-2-222-22-2-2222-22000000-22000000002-20000-2-22200000000-2-20000220000000000000000
χ5722-2-2-2-222-122-22-1-2-211-1-2-2211-111-121-111-1-12-2-10000−i3i31-1−i3i3−i3i300i3−i3-11i3−i3i3−i322-2-200000000-1-1000011−i3i3i3−i3000000000000
χ5822-2-2-2-222-122-22-1-2-211-1-2-2211-111-121-111-1-12-2-10000−i3i31-1−i3i3−i3i300i3−i3-11i3−i3i3−i3-2-22200000000110000-1-1i3−i3−i3i3000000000000
χ5922-2-2-2-222-122-22-1-2-211-1-2-2211-111-121-111-1-12-2-10000i3−i31-1i3−i3i3−i300−i3i3-11−i3i3−i3i322-2-200000000-1-1000011i3−i3−i3i3000000000000
χ6022-2-2-2-222-122-22-1-2-211-1-2-2211-111-121-111-1-12-2-10000i3−i31-1i3−i3i3−i300−i3i3-11−i3i3−i3i3-2-22200000000110000-1-1−i3i3i3−i3000000000000
χ614444444-2-2444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-21111-2-2-244-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-21111-2-2-2-4-4222211-1-1-1-1222211-1-1-1-1000000000000000000000000000000000000
χ6344444-4-44-24-4-44-244-2-2-24-4-4-222-2-2-242-2-2-2-2-2-4-420000002200000000220000000000000000000000000000000000000000
χ6444444-4-4-2-24-4-4-2-2-2-2-2-21-222-222111-22-2111122200−2i32i300-1-1i3i3−i3−i3−2i32i300-1-1i3i3−i3−i3000000000000000000000000000000000000
χ6544444-4-4-2-24-4-4-2-2-2-2-2-21-222-222111-22-21111222002i3−2i300-1-1−i3−i3i3i32i3−2i300-1-1−i3−i3i3i3000000000000000000000000000000000000
χ664444-44-4-24-44-4-24-2-244-22-22-44-422-22-4-4-2-222-224000000-2200000000-220000000000000000000000000000000000000000
χ674444-44-4-2-2-44-4-2-2-2-2-2-212-222-22-1-1122211-1-1-22-20000−2i32i31-1i3−i3i3−i300−2i32i31-1i3−i3i3−i3000000000000000000000000000000000000
χ684444-44-4-2-2-44-4-2-2-2-2-2-212-222-22-1-1122211-1-1-22-200002i3−2i31-1−i3i3−i3i3002i3−2i31-1−i3i3−i3i3000000000000000000000000000000000000
χ694444-4-444-2-4-444-244-2-2-2-4-4422-222-2-4-22-2-222-4420000002-2000000002-20000000000000000000000000000000000000000
χ704444-4-44-24-4-44-24-2-244-222-2-4-4422-224-4-2-2222-2-40000002-2000000002-20000000000000000000000000000000000000000
χ714444-4-44-2-2-4-44-2-2-2-2-2-2122-222-2-1-112-2211-1-12-22000000-113-3-330000-113-3-33000000000000000000000000000000000000
χ724444-4-44-2-2-4-44-2-2-2-2-2-2122-222-2-1-112-2211-1-12-22000000-11-333-30000-11-333-3000000000000000000000000000000000000
χ7344-4-44444-2-4-4-44-2-4-422-2444-2-2-2-2-2-2-4222222-4-42000000-2-200000000220000000000000000000000000000000000000000
χ7444-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2-2111222-1-1-1-122200−2i32i30011i3i3−i3−i32i3−2i300-1-1−i3−i3i3i3000000000000000000000000000000000000
χ7544-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2-2111222-1-1-1-1222002i3−2i30011−i3−i3i3i3−2i32i300-1-1i3i3−i3−i3000000000000000000000000000000000000
χ7644-4-44-4-4-2-2-444-2-222221-222-2221112-22-1-1-1-1-2-2-24-4-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000000000
χ7744-4-44-4-4-2-2-444-2-222221-222-2221112-22-1-1-1-1-2-2-2-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000
χ7844-4-4-44-44-24-444-2-4-422-2-44-42-2222-24-2-222-2-2-442000000-22000000002-20000000000000000000000000000000000000000
χ7944-4-4-44-4-244-44-2422-4-4-22-22-44-422-2-24422-2-22-2-4000000-22000000002-20000000000000000000000000000000000000000
χ8044-4-4-44-4-2-24-44-2-2222212-222-22-1-11-2-2-2-1-1112-220000001-13-3-330000-11-333-3000000000000000000000000000000000000
χ8144-4-4-44-4-2-24-44-2-2222212-222-22-1-11-2-2-2-1-1112-220000001-1-333-30000-113-3-33000000000000000000000000000000000000
χ8244-4-4-4-44-2444-4-2422-4-4-222-2-4-4422-2-2-4422-2-2-2240000002-200000000-220000000000000000000000000000000000000000
χ8344-4-4-4-44-2-244-4-2-22222122-222-2-1-11-22-2-1-111-22-20000−2i32i3-11i3−i3i3−i3002i3−2i31-1−i3i3−i3i3000000000000000000000000000000000000
χ8444-4-4-4-44-2-244-4-2-22222122-222-2-1-11-22-2-1-111-22-200002i3−2i3-11−i3i3−i3i300−2i32i31-1i3−i3i3−i3000000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i400000000-40004i−4i0000000000000000000000000000000000022−22−2i22i2000000000000000000000000
χ864-44i−4i00044000-4-44i−4i4i−4i400000000-40004i−4i00000000000000000000000000000000000−22222i2−2i2000000000000000000000000
χ874-4−4i4i00044000-4-4−4i4i−4i4i400000000-4000−4i4i0000000000000000000000000000000000022−222i2−2i2000000000000000000000000
χ884-4−4i4i00044000-4-4−4i4i−4i4i400000000-4000−4i4i00000000000000000000000000000000000−2222−2i22i2000000000000000000000000
χ898-88i−8i0008-4000-848i−8i−4i4i-4000000004000−4i4i000000000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-4000000004000−4i4i000000000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i20000006-6-20002i−2i6i−6i0000000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i2000000-66-20002i−2i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-40000000040004i−4i000000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-40000000040004i−4i000000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i20000006-6-2000−2i2i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i2000000-66-2000−2i2i6i−6i0000000000000000000000000000000000000000000000000000000000000

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