Finite Group Databasebeta

← Group #11789072

Character table — Group #11789072

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11111111222244444444444444444444444488881212121212121212121212121212121212121212121212121818181824242424242424242424242436363636363636363636
order122222224444336666666666666612121212121212121212121244444444121212121212121212121212121212124444444412121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ911-1-1-11-11ii−i−i111111-1-1-1-1-1-111-1-1iiii−i−i−i−iii−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11-11-1i−i1-111-1-1ii−i−ii−i11-1-1ii−i−i
χ1011-1-1-11-11ii−i−i111111-1-1-1-1-1-111-1-1iiii−i−i−i−iii−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11-11-1−ii-11-1-111−i−iiii−i-1-111−i−iii
χ1111-1-1-11-11ii−i−i111111-1-1-1-1-1-111-1-1iiii−i−i−i−iii−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-111111-11-1i−i1-111-1-1ii−i−ii−i-1-111−i−iii
χ1211-1-1-11-11ii−i−i111111-1-1-1-1-1-111-1-1iiii−i−i−i−iii−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-111111-11-1−ii-11-1-111−i−iiii−i11-1-1ii−i−i
χ1311-1-1-11-11−i−iii111111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iiiii−i−i-1-111iiii−i−i−i−i-1-1-1-111111-11-1i−i-11-1-111ii−i−i−ii11-1-1−i−iii
χ1411-1-1-11-11−i−iii111111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iiiii−i−i-1-111iiii−i−i−i−i-1-1-1-111111-11-1−ii1-111-1-1−i−iii−ii-1-111ii−i−i
χ1511-1-1-11-11−i−iii111111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11-11-1i−i-11-1-111ii−i−i−ii-1-111ii−i−i
χ1611-1-1-11-11−i−iii111111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11-11-1−ii1-111-1-1−i−iii−ii11-1-1−i−iii
χ172222222222222222222222222222222222222222000000000000000000000000-2-2-2-2000000000000-2-200000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-20000000000002200000000
χ1922-2-2-22-222i2i−2i−2i222222-2-2-2-2-2-222-2-22i2i2i2i−2i−2i−2i−2i2i2i−2i−2i000000000000000000000000-22-22000000000000−2i2i00000000
χ2022-2-2-22-22−2i−2i2i2i222222-2-2-2-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i000000000000000000000000-22-220000000000002i−2i00000000
χ212-222-22-2-200002222-2-2222-2-2-2-2-22-200000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i-2-2220000000000000000000000
χ222-222-22-2-200002222-2-2222-2-2-2-2-22-20000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i-2-2220000000000000000000000
χ232-222-22-2-200002222-2-2222-2-2-2-2-22-20000000000002-22-2000022-2-222-2-20000000022-2-20000000000000000000000
χ242-222-22-2-200002222-2-2222-2-2-2-2-22-2000000000000-22-220000-2-222-2-2220000000022-2-20000000000000000000000
χ252-22-2-2-2222i−2i2i−2i22-2-2-2-222-222-222-2-22i2i−2i−2i2i2i−2i−2i2i−2i2i−2i0000000000000000000000000000000000000000002−22−2−i2i2−i2i2
χ262-22-2-2-2222i−2i2i−2i22-2-2-2-222-222-222-2-22i2i−2i−2i2i2i−2i−2i2i−2i2i−2i000000000000000000000000000000000000000000−22−22i2−i2i2−i2
χ272-22-2-2-222−2i2i−2i2i22-2-2-2-222-222-222-2-2−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i0000000000000000000000000000000000000000002−22−2i2−i2i2−i2
χ282-22-2-2-222−2i2i−2i2i22-2-2-2-222-222-222-2-2−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i000000000000000000000000000000000000000000−22−22−i2i2−i2i2
χ292-2-222-2-222-2-2222-2-2-2-2-2-22-2-22222222-2-2-2-2222-2-220000000000000000000000000000000000000000002−2−22−222−2
χ302-2-222-2-222-2-2222-2-2-2-2-2-22-2-22222222-2-2-2-2222-2-22000000000000000000000000000000000000000000−222−22−2−22
χ312-2-222-2-22-222-222-2-2-2-2-2-22-2-222222-2-22222-2-2-222-20000000000000000000000000000000000000000002−2−222−2−22
χ322-2-222-2-22-222-222-2-2-2-2-2-22-2-222222-2-22222-2-2-222-2000000000000000000000000000000000000000000−222−2−222−2
χ332-2-2-2222-200002222-2-2-2-2-2222-2-2-2200000000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i-222-20000000000000000000000
χ342-2-2-2222-200002222-2-2-2-2-2222-2-2-220000000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i-222-20000000000000000000000
χ352-2-2-2222-200002222-2-2-2-2-2222-2-2-220000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i000000002-2-220000000000000000000000
χ362-2-2-2222-200002222-2-2-2-2-2222-2-2-22000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i000000002-2-220000000000000000000000
χ374444444444441-21-21-21-211-2-21-2-21-2-2-2-2-2-2-2-2111100000000000000000000000000002222-1-1-1-1-1-1-1-10000000000
χ384444444444441-21-21-21-211-2-21-2-21-2-2-2-2-2-2-2-211110000000000000000000000000000-2-2-2-2111111110000000000
χ39444444444444-21-21-21-21-2-211-211-211111111-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ40444444444444-21-21-21-21-2-211-211-211111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000
χ4144444444-4-4-4-41-21-21-21-211-2-21-2-2122222222-1-1-1-1000000000000000000000000000022-2-21111-1-1-1-10000000000
χ4244444444-4-4-4-41-21-21-21-211-2-21-2-2122222222-1-1-1-10000000000000000000000000000-2-222-1-1-1-111110000000000
χ4344444444-4-4-4-4-21-21-21-21-2-211-211-2-1-1-1-1-1-1-1-122222222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000000000
χ4444444444-4-4-4-4-21-21-21-21-2-211-211-2-1-1-1-1-1-1-1-12222-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000000000
χ45444-44-4-4-4000044-4-44444-4-4-44-4-4-4400000000000000000000000000000000000000000000000000000000000000
χ46444-44-4-4-40000-212-1-21-2122-112-1-1-23-33-33-33-30000000000003−33−33−33−33−33−33−33−300000000000000000000000000
χ47444-44-4-4-40000-212-1-21-2122-112-1-1-23-33-33-33-3000000000000−33−33−33−33−33−33−33−3300000000000000000000000000
χ48444-44-4-4-40000-212-1-21-2122-112-1-1-2-33-33-33-330000000000003−33−33−33−3−33−33−33−3300000000000000000000000000
χ49444-44-4-4-40000-212-1-21-2122-112-1-1-2-33-33-33-33000000000000−33−33−33−333−33−33−33−300000000000000000000000000
χ5044-44-4-44-4000044-4-444-4-4444-4-4-44-400000000000000000000000000000000000000000000000000000000000000
χ5144-44-4-44-40000-212-1-212-1-2-21-12-1123i−3i3i−3i−3i3i−3i3i000000000000−i3i3−i3i3i3−i3i3−i3−33−333−33−300000000000000000000000000
χ5244-44-4-44-40000-212-1-212-1-2-21-12-1123i−3i3i−3i−3i3i−3i3i000000000000i3−i3i3−i3−i3i3−i3i33−33−3−33−3300000000000000000000000000
χ5344-44-4-44-40000-212-1-212-1-2-21-12-112−3i3i−3i3i3i−3i3i−3i000000000000−i3i3−i3i3i3−i3i3−i33−33−3−33−3300000000000000000000000000
χ5444-44-4-44-40000-212-1-212-1-2-21-12-112−3i3i−3i3i3i−3i3i−3i000000000000i3−i3i3−i3−i3i3−i3i3−33−333−33−300000000000000000000000000
χ5544-4-4-44-444i4i−4i−4i1-21-21-2-12-1-1221-22-1−2i−2i−2i−2i2i2i2i2iii−i−i00000000000000000000000000002i−2i2-2-1-111−i−iii0000000000
χ5644-4-4-44-444i4i−4i−4i1-21-21-2-12-1-1221-22-1−2i−2i−2i−2i2i2i2i2iii−i−i0000000000000000000000000000−2i2i-2211-1-1ii−i−i0000000000
χ5744-4-4-44-444i4i−4i−4i-21-21-212-122-1-1-21-12iiii−i−i−i−i−2i−2i2i2i2i2i−2i−2i22-2-2−i−i−i−iiiii-1-1-1-1111100000000000000000000000000
χ5844-4-4-44-444i4i−4i−4i-21-21-212-122-1-1-21-12iiii−i−i−i−i−2i−2i2i2i−2i−2i2i2i-2-222iiii−i−i−i−i1111-1-1-1-100000000000000000000000000
χ5944-4-4-44-44−4i−4i4i4i1-21-21-2-12-1-1221-22-12i2i2i2i−2i−2i−2i−2i−i−iii00000000000000000000000000002i−2i-2211-1-1−i−iii0000000000
χ6044-4-4-44-44−4i−4i4i4i1-21-21-2-12-1-1221-22-12i2i2i2i−2i−2i−2i−2i−i−iii0000000000000000000000000000−2i2i2-2-1-111ii−i−i0000000000
χ6144-4-4-44-44−4i−4i4i4i-21-21-212-122-1-1-21-12−i−i−i−iiiii2i2i−2i−2i2i2i−2i−2i-2-222−i−i−i−iiiii1111-1-1-1-100000000000000000000000000
χ6244-4-4-44-44−4i−4i4i4i-21-21-212-122-1-1-21-12−i−i−i−iiiii2i2i−2i−2i−2i−2i2i2i22-2-2iiii−i−i−i−i-1-1-1-1111100000000000000000000000000
χ634-444-44-4-40000-21-212-1-21-22-1-12-1123i−3i−3i3i3i−3i−3i3i00002-22-22i−2i2i−2i-1-111-1-111−i−iii−i−iii00000000000000000000000000
χ644-444-44-4-40000-21-212-1-21-22-1-12-1123i−3i−3i3i3i−3i−3i3i0000-22-22−2i2i−2i2i11-1-111-1-1ii−i−iii−i−i00000000000000000000000000
χ654-444-44-4-40000-21-212-1-21-22-1-12-112−3i3i3i−3i−3i3i3i−3i00002-22-2−2i2i−2i2i-1-111-1-111ii−i−iii−i−i00000000000000000000000000
χ664-444-44-4-40000-21-212-1-21-22-1-12-112−3i3i3i−3i−3i3i3i−3i0000-22-222i−2i2i−2i11-1-111-1-1−i−iii−i−iii00000000000000000000000000
χ674-44-4-4-4444i−4i4i−4i1-2-12-121-2-11-221-22-1−2i−2i2i2i−2i−2i2i2ii−ii−i00000000000000000000000000000000−i3i3−i3i33−33−30000000000
χ684-44-4-4-4444i−4i4i−4i1-2-12-121-2-11-221-22-1−2i−2i2i2i−2i−2i2i2ii−ii−i00000000000000000000000000000000i3−i3i3−i3−33−330000000000
χ694-44-4-4-4444i−4i4i−4i-212-12-1-212-21-1-21-12ii−i−iii−i−i−2i2i−2i2i000000003−3−333−3−33i3−i3−i3i3i3−i3−i3i300000000000000000000000000
χ704-44-4-4-4444i−4i4i−4i-212-12-1-212-21-1-21-12ii−i−iii−i−i−2i2i−2i2i00000000−333−3−333−3−i3i3i3−i3−i3i3i3−i300000000000000000000000000
χ714-44-4-4-444−4i4i−4i4i1-2-12-121-2-11-221-22-12i2i−2i−2i2i2i−2i−2i−ii−ii00000000000000000000000000000000−i3i3−i3i3−33−330000000000
χ724-44-4-4-444−4i4i−4i4i1-2-12-121-2-11-221-22-12i2i−2i−2i2i2i−2i−2i−ii−ii00000000000000000000000000000000i3−i3i3−i33−33−30000000000
χ734-44-4-4-444−4i4i−4i4i-212-12-1-212-21-1-21-12−i−iii−i−iii2i−2i2i−2i000000003−3−333−3−33−i3i3i3−i3−i3i3i3−i300000000000000000000000000
χ744-44-4-4-444−4i4i−4i4i-212-12-1-212-21-1-21-12−i−iii−i−iii2i−2i2i−2i00000000−333−3−333−3i3−i3−i3i3i3−i3−i3i300000000000000000000000000
χ754-4-444-4-444-4-441-2-12-12-121-12-21-2-21-2-22222-2-21-1-1100000000000000000000000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ764-4-444-4-444-4-441-2-12-12-121-12-21-2-21-2-22222-2-21-1-1100000000000000000000000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ774-4-444-4-444-4-44-212-12-12-1-22-11-211-211-1-1-1-111-222-200000000−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i300000000000000000000000000
χ784-4-444-4-444-4-44-212-12-12-1-22-11-211-211-1-1-1-111-222-200000000i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i300000000000000000000000000
χ794-4-444-4-44-444-41-2-12-12-121-12-21-2-2122-2-2-2-222-111-100000000000000000000000000000000−i3i3i3−i3i3−i3−i3i30000000000
χ804-4-444-4-44-444-41-2-12-12-121-12-21-2-2122-2-2-2-222-111-100000000000000000000000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ814-4-444-4-44-444-4-212-12-12-1-22-11-211-2-1-11111-1-12-2-2200000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i300000000000000000000000000
χ824-4-444-4-44-444-4-212-12-12-1-22-11-211-2-1-11111-1-12-2-2200000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i300000000000000000000000000
χ834-4-4-4444-40000-21-212-12-12-2112-1-1-23-3-33-333-300002i−2i−2i2i−2i2i2i−2i−i−iiiii−i−iii−i−i−i−iii00000000000000000000000000
χ844-4-4-4444-40000-21-212-12-12-2112-1-1-23-3-33-333-30000−2i2i2i−2i2i−2i−2i2iii−i−i−i−iii−i−iiiii−i−i00000000000000000000000000
χ854-4-4-4444-40000-21-212-12-12-2112-1-1-2-333-33-3-3300002i−2i−2i2i2i−2i−2i2i−i−iiiii−i−i−i−iiiii−i−i00000000000000000000000000
χ864-4-4-4444-40000-21-212-12-12-2112-1-1-2-333-33-3-330000−2i2i2i−2i−2i2i2i−2iii−i−i−i−iiiii−i−i−i−iii00000000000000000000000000
χ87888-88-8-8-800002-4-242-42-4-2-24-4-244200000000000000000000000000000000000000000000000000000000000000
χ8888-88-8-88-800002-4-242-4-2422-44-24-4-200000000000000000000000000000000000000000000000000000000000000
χ898-888-88-8-800002-42-4-242-42-244-24-4-200000000000000000000000000000000000000000000000000000000000000
χ908-8-8-8888-800002-42-4-24-24-22-4-4-244200000000000000000000000000000000000000000000000000000000000000

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