Finite Group Databasebeta

← Group #11864467

Character table — Group #11864467

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order1222222334666666666666121222444444121212126124444224466666612121212248888121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ5111111-111-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ6111111-111-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1111111-1-1
χ7111111-111-111111111-1-111-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-111-1-11111-1-1-1-1
χ8111111-111-111111111-1-111-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ91111-1-1111-1111111-1-111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1111-11-11111-1-1-1-111-1111-1-11-11-1
χ101111-1-1111-1111111-1-111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-111-11-1111-1-111-1-111-11-1-111-11-11
χ111111-1-1111-1111111-1-111-1-1-1-1-1-111-1-11111111-1-1-1111-11-1-1-111-1-111-1-1-11-1-1111-1-11
χ121111-1-1111-1111111-1-111-1-1-1-1-1-111-1-11111111-1-1-111-11-11-1-1-1-11111-1-1-1111-1-1-111-1
χ131111-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111111-11-1-1111-1-111111-1-1-1-1-1-11-1-1-111-111-1
χ141111-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111111-11-1-111-111-111-1-111-1-1-1-11-111-1-11-1-11
χ151111-1-1-1111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-1111-1-11-1-111-1-111111-111-1-1-11-11
χ161111-1-1-1111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-111-1-1-1-1-11111111-1-1-1111-11-1
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ18222222-222-222222222-2-222-2-2000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-2222-2222222-2-222-2-2-2-20000000000002-222-2-2000000000000002-200000000
χ202222-2-2-2222222222-2-2-2-2-2-222000000000000-2222-2-200000000000000-2200000000
χ212-2-222-20220-2-22-2-222-2002-20000002-22-222-2-2002-22-20000000000002-20000000000
χ222-2-222-20220-2-22-2-222-2002-2000000-22-22-2-222002-22-2000000000000-220000000000
χ232-2-222-20220-2-22-2-222-2002-2002-22-20000000000-22-2200002-200002-2000000000000
χ242-2-222-20220-2-22-2-222-2002-200-22-220000000000-22-220000-220000-22000000000000
χ252-2-22-220220-2-22-2-22-2200-220000002-2-22-2-22200-222-20000000000002-20000000000
χ262-2-22-220220-2-22-2-22-2200-22000000-222-222-2-200-222-2000000000000-220000000000
χ272-2-22-220220-2-22-2-22-2200-22002-2-2200000000002-2-2200002-20000-22000000000000
χ282-2-22-220220-2-22-2-22-2200-2200-222-200000000002-2-220000-2200002-2000000000000
χ2944444441-2411-2-2-211111-2-21122222222-1-1-1-1-2-200000000-1-10000-1-1-1-10000000000
χ3044444441-2411-2-2-211111-2-211-2-2-2-2-2-2-2-21111-2-20000000011000011110000000000
χ314444444-214-2-2111-2-2-2-2-211-2-2000000000000110000222200-1-1-1-10000000000-1-100
χ324444444-214-2-2111-2-2-2-2-211-2-2000000000000110000-2-2-2-200111100000000001100
χ33444444-41-2-411-2-2-2111-1-1-2-2-1-12222-2-2-2-211112200000000-1-10000-1-1110000000000
χ34444444-41-2-411-2-2-2111-1-1-2-2-1-1-2-2-2-22222-1-1-1-1220000000011000011-1-10000000000
χ35444444-4-21-4-2-2111-2-2-2221122000000000000-1-1000022-2-200-1-1-1-100000000001100
χ36444444-4-21-4-2-2111-2-2-2221122000000000000-1-10000-2-2220011110000000000-1-100
χ374444-4-441-2-411-2-2-21-1-11122-1-122-2-222-2-21111-2200000000-1-1000011-1-10000000000
χ384444-4-441-2-411-2-2-21-1-11122-1-1-2-222-2-222-1-1-1-1-2200000000110000-1-1110000000000
χ394444-4-44-21-4-2-2111-222-2-2-1-1220000000000001-100002-22-200-1-1110000000000-1100
χ404444-4-44-21-4-2-2111-222-2-2-1-1220000000000001-10000-22-220011-1-100000000001-100
χ414444-4-4-41-2411-2-2-21-1-1-1-1221122-2-2-2-222-1-1-1-12-200000000-1-1000011110000000000
χ424444-4-4-41-2411-2-2-21-1-1-1-12211-2-22222-2-211112-200000000110000-1-1-1-10000000000
χ434444-4-4-4-214-2-2111-22222-1-1-2-2000000000000-1100002-2-2200-1-11100000000001-100
χ444444-4-4-4-214-2-2111-22222-1-1-2-2000000000000-110000-222-20011-1-10000000000-1100
χ4544-4-40004404-4-44-4-400000000000000000000000000000000000000000000−2i22i20000
χ4644-4-40004404-4-44-4-4000000000000000000000000000000000000000000002i2−2i20000
χ474-44-4000440-44-4-44-4000000000000000000000000000000000000000000−2i22i2000000
χ484-44-4000440-44-4-44-40000000000000000000000000000000000000000002i2−2i2000000
χ494-4-444-401-20-1-1-22211-13-3-223-32-22-22-22-2-1-1110000000000-110000-11-110000000000
χ504-4-444-401-20-1-1-22211-13-3-223-3-22-22-22-2211-1-100000000001-100001-11-10000000000
χ514-4-444-401-20-1-1-22211-1-33-22-332-22-2-22-2211-1-10000000000-110000-111-10000000000
χ524-4-444-401-20-1-1-22211-1-33-22-33-22-222-22-2-1-11100000000001-100001-1-110000000000
χ534-4-44-4401-20-1-1-2221-113-32-2-332-2-222-2-2211-1-10000000000-1100001-1-110000000000
χ544-4-44-4401-20-1-1-2221-113-32-2-33-222-2-222-2-1-11100000000001-10000-111-10000000000
χ554-4-44-4401-20-1-1-2221-11-332-23-32-2-22-222-2-1-1110000000000-1100001-11-10000000000
χ564-4-44-4401-20-1-1-2221-11-332-23-3-222-22-2-2211-1-100000000001-10000-11-110000000000
χ5788-8-80002-402-24-44-2000000000000000023−2323−23000000000000000000000000000000
χ5888-8-80002-402-24-44-20000000000000000−2323−2323000000000000000000000000000000
χ5988-8-8000-420-44-22-2400000000000000000000000000000000−2i32i30000000000000000
χ6088-8-8000-420-44-22-24000000000000000000000000000000002i3−2i30000000000000000
χ618-88-80002-40-2244-4-2000000000000000023−23−2323000000000000000000000000000000
χ628-88-80002-40-2244-4-20000000000000000−232323−23000000000000000000000000000000
χ638-88-8000-4204-4-2-2240000000000000000000000000000000000−2i32i300000000000000
χ648-88-8000-4204-4-2-22400000000000000000000000000000000002i3−2i300000000000000
χ658-8-888-80-420442-2-2-4-44002-200000000000000000000000000000000000000000000
χ668-8-88-880-420442-2-2-44-400-2200000000000000000000000000000000000000000000

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