Finite Group Databasebeta

← Group #11857784

Character table — Group #11857784

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112244444444448888888888889999181818181818181818183636363636361111224444444444888888888888999918181818181818181818363636363636
order12442423346612121212666666121212121212224424888888882444442244242664661212121266666612121212121222442488888888244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i1111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ41111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii1111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ5111111-111-111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1111111-111-111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1
χ6111111-111-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-111-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ7111111-111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii111111-111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ8111111-111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i111111-111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ911-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1111-1-111-1-11-11-11-111-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1111-1-111-1-11-11-11-1
χ1011-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-111-1-1-11-1-111-1-1111-1-11-1111-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-111-1-1-11-1-111-1-1111-1-11-11
χ1111-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1ii−i−i−i−iii-11i−i−ii11-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1ii−i−i−i−iii-11i−i−ii
χ1211-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1−i−iiiii−i−i-11−iii−i11-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1−i−iiiii−i−i-11−iii−i
χ1311-1-1-11-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-11-11-1111-1-1-11-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-11-11-11
χ1411-1-1-11-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-111-1-111-111-11-111-1-1-11-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-111-1-111-111-11-1
χ1511-1-1-11-111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1ii−i−i−i−iii1-1−iii−i11-1-1-11-111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1ii−i−i−i−iii1-1−iii−i
χ1611-1-1-11-111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1−i−iiiii−i−i1-1i−i−ii11-1-1-11-111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1−i−iiiii−i−i1-1i−i−ii
χ172222-2-20220222222-2-20000-2-200002222-2-2000000000000002222-2-20220222222-2-20000-2-200002222-2-200000000000000
χ182222-2-20220222222-2-20000-2-20000-2-2-2-222000000000000002222-2-20220222222-2-20000-2-20000-2-2-2-22200000000000000
χ1922-2-22-2022022-2-2-2-2220000-2-2000022-2-22-20000000000000022-2-22-2022022-2-2-2-2220000-2-2000022-2-22-200000000000000
χ2022-2-22-2022022-2-2-2-2220000-2-20000-2-222-220000000000000022-2-22-2022022-2-2-2-2220000-2-20000-2-222-2200000000000000
χ212-22i−2i000220-2-22i2i−2i−2i0000000000002-22i−2i00i2−i22−2i2−i22−20000002-22i−2i000220-2-22i2i−2i−2i0000000000002-22i−2i00i2−i22−2i2−i22−2000000
χ222-22i−2i000220-2-22i2i−2i−2i0000000000002-22i−2i00−i2i2−22−i2i2−220000002-22i−2i000220-2-22i2i−2i−2i0000000000002-22i−2i00−i2i2−22−i2i2−22000000
χ232-22i−2i000220-2-22i2i−2i−2i000000000000-22−2i2i002−2−i2i2−22i2−i20000002-22i−2i000220-2-22i2i−2i−2i000000000000-22−2i2i002−2−i2i2−22i2−i2000000
χ242-22i−2i000220-2-22i2i−2i−2i000000000000-22−2i2i00−22i2−i22−2−i2i20000002-22i−2i000220-2-22i2i−2i−2i000000000000-22−2i2i00−22i2−i22−2−i2i2000000
χ252-2−2i2i000220-2-2−2i−2i2i2i0000000000002-2−2i2i00i2−i2−22i2−i2−220000002-2−2i2i000220-2-2−2i−2i2i2i0000000000002-2−2i2i00i2−i2−22i2−i2−22000000
χ262-2−2i2i000220-2-2−2i−2i2i2i0000000000002-2−2i2i00−i2i22−2−i2i22−20000002-2−2i2i000220-2-2−2i−2i2i2i0000000000002-2−2i2i00−i2i22−2−i2i22−2000000
χ272-2−2i2i000220-2-2−2i−2i2i2i000000000000-222i−2i002−2i2−i2−22−i2i20000002-2−2i2i000220-2-2−2i−2i2i2i000000000000-222i−2i002−2i2−i2−22−i2i2000000
χ282-2−2i2i000220-2-2−2i−2i2i2i000000000000-222i−2i00−22−i2i22−2i2−i20000002-2−2i2i000220-2-2−2i−2i2i2i000000000000-222i−2i00−22−i2i22−2i2−i2000000
χ2944444441-241-21-21-21-211-2-21-211-2-20000000000000000000044444441-241-21-21-21-211-2-21-211-2-200000000000000000000
χ304444444-214-21-21-21-21-2-211-21-2-211000000000000000000004444444-214-21-21-21-21-2-211-21-2-21100000000000000000000
χ31444444-41-2-41-21-21-21-2-1-1221-2-1-12200000000000000000000444444-41-2-41-21-21-21-2-1-1221-2-1-12200000000000000000000
χ32444444-4-21-4-21-21-21-2122-1-1-2122-1-100000000000000000000444444-4-21-4-21-21-21-2122-1-1-2122-1-100000000000000000000
χ334444-4-401-201-21-21-2-123-300-123-300000000000000000000004444-4-401-201-21-21-2-123-300-123-30000000000000000000000
χ344444-4-401-201-21-21-2-12-3300-12-3300000000000000000000004444-4-401-201-21-21-2-12-3300-12-330000000000000000000000
χ354444-4-40-210-21-21-212-1003-32-1003-3000000000000000000004444-4-40-210-21-21-212-1003-32-1003-300000000000000000000
χ364444-4-40-210-21-21-212-100-332-100-33000000000000000000004444-4-40-210-21-21-212-100-332-100-3300000000000000000000
χ3744-4-44-401-201-2-12-121-23-300-12-33000000000000000000000044-4-44-401-201-2-12-121-23-300-12-330000000000000000000000
χ3844-4-44-401-201-2-12-121-2-3300-123-3000000000000000000000044-4-44-401-201-2-12-121-2-3300-123-30000000000000000000000
χ3944-4-44-40-210-212-12-1-21003-32-100-330000000000000000000044-4-44-40-210-212-12-1-21003-32-100-3300000000000000000000
χ4044-4-44-40-210-212-12-1-2100-332-1003-30000000000000000000044-4-44-40-210-212-12-1-2100-332-1003-300000000000000000000
χ4144-4-4-4441-2-41-2-12-12-1211-2-21-2-1-1220000000000000000000044-4-4-4441-2-41-2-12-12-1211-2-21-2-1-12200000000000000000000
χ4244-4-4-444-21-4-212-12-12-1-2-211-2122-1-10000000000000000000044-4-4-444-21-4-212-12-12-1-2-211-2122-1-100000000000000000000
χ4344-4-4-44-41-241-2-12-12-12-1-1221-211-2-20000000000000000000044-4-4-44-41-241-2-12-12-12-1-1221-211-2-200000000000000000000
χ4444-4-4-44-4-214-212-12-12-122-1-1-21-2-2110000000000000000000044-4-4-44-4-214-212-12-12-122-1-1-21-2-21100000000000000000000
χ458-88i−8i0002-40-242i−4i−2i4i000000000000000000000000000000008-88i−8i0002-40-242i−4i−2i4i00000000000000000000000000000000
χ468-88i−8i000-4204-2−4i2i4i−2i000000000000000000000000000000008-88i−8i000-4204-2−4i2i4i−2i00000000000000000000000000000000
χ478-8−8i8i0002-40-24−2i4i2i−4i000000000000000000000000000000008-8−8i8i0002-40-24−2i4i2i−4i00000000000000000000000000000000
χ488-8−8i8i000-4204-24i−2i−4i2i000000000000000000000000000000008-8−8i8i000-4204-24i−2i−4i2i00000000000000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ501111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ511111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiii11−i−iii
χ521111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i11ii−i−i
χ53111111-111-111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ54111111-111-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111111111-1-1-1-1
χ55111111-111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-11111111111−i−i−i−iiiii-1-1ii−i−i
χ56111111-111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-11111111111iiii−i−i−i−i-1-1−i−iii
χ5711-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1111-1-111-1-11-11-11-1-1-1111-1-1-1-11-1-1111111-1-1-1-1-1-11111-1-1111-1-1-111-1-111-11-11-11
χ5811-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-111-1-1-11-1-111-1-1111-1-11-11-1-1111-1-1-1-11-1-1111111-1-1-1-1-1-11111-1-1111-111-1-111-1-1-111-11-1
χ5911-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1ii−i−i−i−iii-11i−i−ii-1-1111-1-1-1-11-1-1111111-1-1-1-1-1-1111111-1-1-11−i−iiiii−i−i1-1−iii−i
χ6011-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1−i−iiiii−i−i-11−iii−i-1-1111-1-1-1-11-1-1111111-1-1-1-1-1-1111111-1-1-11ii−i−i−i−iii1-1i−i−ii
χ6111-1-1-11-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-11-11-11-1-1111-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-111-1-1111-11-11-1
χ6211-1-1-11-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-111-1-111-111-11-1-1-1111-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-111-1-111-1-11-1-11-11
χ6311-1-1-11-111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1ii−i−i−i−iii1-1−iii−i-1-1111-11-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-11−i−iiiii−i−i-11i−i−ii
χ6411-1-1-11-111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1−i−iiiii−i−i1-1i−i−ii-1-1111-11-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-11ii−i−i−i−iii-11−iii−i
χ652222-2-20220222222-2-20000-2-200002222-2-200000000000000-2-2-2-2220-2-20-2-2-2-2-2-2220000220000-2-2-2-22200000000000000
χ662222-2-20220222222-2-20000-2-20000-2-2-2-22200000000000000-2-2-2-2220-2-20-2-2-2-2-2-22200002200002222-2-200000000000000
χ6722-2-22-2022022-2-2-2-2220000-2-2000022-2-22-200000000000000-2-222-220-2-20-2-22222-2-20000220000-2-222-2200000000000000
χ6822-2-22-2022022-2-2-2-2220000-2-20000-2-222-2200000000000000-2-222-220-2-20-2-22222-2-2000022000022-2-22-200000000000000
χ692-22i−2i000220-2-22i2i−2i−2i0000000000002-22i−2i00i2−i22−2i2−i22−2000000-22−2i2i000-2-2022−2i−2i2i2i000000000000-22−2i2i00−i2i2−22−i2i2−22000000
χ702-22i−2i000220-2-22i2i−2i−2i0000000000002-22i−2i00−i2i2−22−i2i2−22000000-22−2i2i000-2-2022−2i−2i2i2i000000000000-22−2i2i00i2−i22−2i2−i22−2000000
χ712-22i−2i000220-2-22i2i−2i−2i000000000000-22−2i2i002−2−i2i2−22i2−i2000000-22−2i2i000-2-2022−2i−2i2i2i0000000000002-22i−2i00−22i2−i22−2−i2i2000000
χ722-22i−2i000220-2-22i2i−2i−2i000000000000-22−2i2i00−22i2−i22−2−i2i2000000-22−2i2i000-2-2022−2i−2i2i2i0000000000002-22i−2i002−2−i2i2−22i2−i2000000
χ732-2−2i2i000220-2-2−2i−2i2i2i0000000000002-2−2i2i00i2−i2−22i2−i2−22000000-222i−2i000-2-20222i2i−2i−2i000000000000-222i−2i00−i2i22−2−i2i22−2000000
χ742-2−2i2i000220-2-2−2i−2i2i2i0000000000002-2−2i2i00−i2i22−2−i2i22−2000000-222i−2i000-2-20222i2i−2i−2i000000000000-222i−2i00i2−i2−22i2−i2−22000000
χ752-2−2i2i000220-2-2−2i−2i2i2i000000000000-222i−2i002−2i2−i2−22−i2i2000000-222i−2i000-2-20222i2i−2i−2i0000000000002-2−2i2i00−22−i2i22−2i2−i2000000
χ762-2−2i2i000220-2-2−2i−2i2i2i000000000000-222i−2i00−22−i2i22−2i2−i2000000-222i−2i000-2-20222i2i−2i−2i0000000000002-2−2i2i002−2i2−i2−22−i2i2000000
χ7744444441-241-21-21-21-211-2-21-211-2-200000000000000000000-4-4-4-4-4-4-4-12-4-12-12-12-12-1-122-12-1-12200000000000000000000
χ784444444-214-21-21-21-21-2-211-21-2-21100000000000000000000-4-4-4-4-4-4-42-1-42-12-12-12-122-1-12-122-1-100000000000000000000
χ79444444-41-2-41-21-21-21-2-1-1221-2-1-12200000000000000000000-4-4-4-4-4-44-124-12-12-12-1211-2-2-1211-2-200000000000000000000
χ80444444-4-21-4-21-21-21-2122-1-1-2122-1-100000000000000000000-4-4-4-4-4-442-142-12-12-12-1-2-2112-1-2-21100000000000000000000
χ814444-4-401-201-21-21-2-123-300-123-30000000000000000000000-4-4-4-4440-120-12-12-121-2-33001-2-330000000000000000000000
χ824444-4-401-201-21-21-2-12-3300-12-330000000000000000000000-4-4-4-4440-120-12-12-121-23-3001-23-30000000000000000000000
χ834444-4-40-210-21-21-212-1003-32-1003-300000000000000000000-4-4-4-44402-102-12-12-1-2100-33-2100-3300000000000000000000
χ844444-4-40-210-21-21-212-100-332-100-3300000000000000000000-4-4-4-44402-102-12-12-1-21003-3-21003-300000000000000000000
χ8544-4-44-401-201-2-12-121-23-300-12-330000000000000000000000-4-444-440-120-121-21-2-12-33001-23-30000000000000000000000
χ8644-4-44-401-201-2-12-121-2-3300-123-30000000000000000000000-4-444-440-120-121-21-2-123-3001-2-330000000000000000000000
χ8744-4-44-40-210-212-12-1-21003-32-100-3300000000000000000000-4-444-4402-102-1-21-212-100-33-21003-300000000000000000000
χ8844-4-44-40-210-212-12-1-2100-332-1003-300000000000000000000-4-444-4402-102-1-21-212-1003-3-2100-3300000000000000000000
χ8944-4-4-4441-2-41-2-12-12-1211-2-21-2-1-12200000000000000000000-4-4444-4-4-124-121-21-21-2-1-122-1211-2-200000000000000000000
χ9044-4-4-444-21-4-212-12-12-1-2-211-2122-1-100000000000000000000-4-4444-4-42-142-1-21-21-2122-1-12-1-2-21100000000000000000000
χ9144-4-4-44-41-241-2-12-12-12-1-1221-211-2-200000000000000000000-4-4444-44-12-4-121-21-21-211-2-2-12-1-12200000000000000000000
χ9244-4-4-44-4-214-212-12-12-122-1-1-21-2-21100000000000000000000-4-4444-442-1-42-1-21-21-21-2-2112-122-1-100000000000000000000
χ938-88i−8i0002-40-242i−4i−2i4i00000000000000000000000000000000-88−8i8i000-2402-4−2i4i2i−4i00000000000000000000000000000000
χ948-88i−8i000-4204-2−4i2i4i−2i00000000000000000000000000000000-88−8i8i0004-20-424i−2i−4i2i00000000000000000000000000000000
χ958-8−8i8i0002-40-24−2i4i2i−4i00000000000000000000000000000000-888i−8i000-2402-42i−4i−2i4i00000000000000000000000000000000
χ968-8−8i8i000-4204-24i−2i−4i2i00000000000000000000000000000000-888i−8i0004-20-42−4i2i4i−2i00000000000000000000000000000000

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