Finite Group Databasebeta

← Group #11895441

Character table — Group #11895441

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order1222334466666636668812121212242424244444888824121212122424242424244444881212121212122424242466661212124422412121224244448866124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-111111111-1-111111111111111-1-1-1-1-1-1-111-1-1-11-1-111-1-1111-1-1-1-1
χ3111111111111111111111111111111-1-11111111111111111-1-11-1-1-111-1-11111111111111-1-11-11-1-1-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111-1-11111-1-1-1-111111111111-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11-11
χ51111111111111111111111111111-1-111-1-1-1-111111111111111-1111-1-111-1-1-1-1-1-11111111-1-1-11-111111-1-1-1-1-1-11-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-11-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-11111-11-1-1-1-1111-1-111-1-1
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11-1-1-1-111
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111-11111-1-111-1-1-1-11111-1-1-1-1-11-1-1-11111-1-1-1111-1-11
χ12111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-1-1-1-1-1111-1-1-111-1-1-11111-111-111-1
χ13111111111111111111-1-11111-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-1-111-1111
χ14111111111111111111-1-11111-1-1-1-1-1-1111111-111111-1-1-1-1-1-111-11-1-1-1-111-1-11111-1-1-1-1111-1-11-1-1111-1-111-1111-1-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-111-1-11-11111111-1-1-1-11-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-11-1-111-11
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-200000000-2-2002222-2-20000000000022000-2000000-2000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-200000000-220022-2-2-2-200000000000-2-200020000002000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-2000000002-200-2-2222200000000000-2-2000-20000002000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-2000000002200-2-2-2-22200000000000220002000000-2000000
χ2122222-12222-1-1-12-1-1-1-122-122-122220022000022-1-1-1-1-1-1-1-1-1-122022200-1-10000002-1-1-12-1-100020-1-1-1-1-1000000-100
χ2222222-12222-1-1-12-1-1-1-122-122-1222200220000-2-211-1-1-1-1-1-1-1-1-2-2022200-1-1000000-2111-211000-20-111-1-1000000100
χ2322222-12222-1-1-12-1-1-1-122-122-1222200-2-2000022-1-1-1-1-1-1-1-1-1-1-2-20-2-2-200110000002-1-1-12-1-1000-2011111000000100
χ2422222-12222-1-1-12-1-1-1-122-122-1222200-2-20000-2-211-1-1-1-1-1-1-1-1220-2-2-20011000000-2111-211000201-1-111000000-100
χ2522222-12222-1-1-12-1-1-1-1-2-2-122-1-2-2-2-2002200002-211-1-1111111-2-202-2-200-1-10000002-1-1-1-21100020-11111000000-100
χ2622222-12222-1-1-12-1-1-1-1-2-2-122-1-2-2-2-200220000-22-1-1-1-11111112202-2-200-1-1000000-21112-1-1000-20-1-1-111000000100
χ2722222-12222-1-1-12-1-1-1-1-2-2-122-1-2-2-2-200-2-200002-211-1-1111111220-22200110000002-1-1-1-211000-201-1-1-1-1000000100
χ2822222-12222-1-1-12-1-1-1-1-2-2-122-1-2-2-2-200-2-20000-22-1-1-1-1111111-2-20-2220011000000-21112-1-100020111-1-1000000-100
χ292222-1222-1-1222-1-1-1-1-1222-1-12-1-1-1-1220022222222-1-122-1-1-1-1002000-1-100-1-1-1-1-1-1-12-1-1-1-1-1002020000000000-10-10
χ302222-1222-1-1222-1-1-1-1-1222-1-12-1-1-1-122002222-2-2-2-2-1-122-1-1-1-1002000-1-100-1-1-1-1-1-11-21111100-20-200000000001010
χ312222-1222-1-1222-1-1-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-22222-1-122-1-1-1-100-20001100111111-12-1-1-1-1-100-20-200000000001010
χ322222-1222-1-1222-1-1-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-2-2-2-2-2-1-122-1-1-1-100-200011001111111-211111002020000000000-10-10
χ332222-1222-1-1222-1-1-1-1-1-2-22-1-1211112200-2-2-2-22-2-2-2-1-1-2-21111002000-1-100-1-11111-12-1-11110020-20000000000-1010
χ342222-1222-1-1222-1-1-1-1-1-2-22-1-1211112200-2-2-2-2-2222-1-1-2-21111002000-1-100-1-111111-211-1-1-100-202000000000010-10
χ352222-1222-1-1222-1-1-1-1-1-2-22-1-121111-2-20022222-2-2-2-1-1-2-2111100-2000110011-1-1-1-1-12-1-111100-202000000000010-10
χ362222-1222-1-1222-1-1-1-1-1-2-22-1-121111-2-2002222-2222-1-1-2-2111100-2000110011-1-1-1-11-211-1-1-10020-20000000000-1010
χ3722-2-222-222-2-2-22-22-22-200-22-22000000002i2i−2i−2i0000-220000002-200000000002i2i−2i−2i00000000000002-2002i−2i0000000
χ3822-2-222-222-2-2-22-22-22-200-22-22000000002i2i−2i−2i0000-22000000-2200000000002i2i−2i−2i0000000000000-2200−2i2i0000000
χ3922-2-222-222-2-2-22-22-22-200-22-2200000000−2i−2i2i2i0000-220000002-20000000000−2i−2i2i2i00000000000002-200−2i2i0000000
χ4022-2-222-222-2-2-22-22-22-200-22-2200000000−2i−2i2i2i0000-22000000-220000000000−2i−2i2i2i0000000000000-22002i−2i0000000
χ412-22-22200-222-2-2-222-2-2−i2i20000−i2−i2i2i22-22-2−i2i2−i2i2000000−i2i2−i2−i2i2i20000−i2i22-22-200−i2i2−i2i200000002-2000000−i2i2000−i2i20000
χ422-22-22200-222-2-2-222-2-2−i2i20000−i2−i2i2i22-2-22−i2i2−i2i2000000−i2i2−i2−i2i2i20000i2−i22-2-2200−i2i2−i2i20000000-22000000i2−i2000i2−i20000
χ432-22-22200-222-2-2-222-2-2−i2i20000−i2−i2i2i2-222-2i2−i2i2−i2000000−i2i2−i2−i2i2i20000−i2i2-222-200i2−i2i2−i20000000-22000000−i2i2000i2−i20000
χ442-22-22200-222-2-2-222-2-2−i2i20000−i2−i2i2i2-22-22i2−i2i2−i2000000−i2i2−i2−i2i2i20000i2−i2-22-2200i2−i2i2−i200000002-2000000i2−i2000−i2i20000
χ452-22-22200-222-2-2-222-2-2i2−i20000i2i2−i2−i22-22-2i2−i2i2−i2000000i2−i2i2i2−i2−i20000i2−i22-22-200i2−i2i2−i200000002-2000000i2−i2000i2−i20000
χ462-22-22200-222-2-2-222-2-2i2−i20000i2i2−i2−i22-2-22i2−i2i2−i2000000i2−i2i2i2−i2−i20000−i2i22-2-2200i2−i2i2−i20000000-22000000−i2i2000−i2i20000
χ472-22-22200-222-2-2-222-2-2i2−i20000i2i2−i2−i2-222-2−i2i2−i2i2000000i2−i2i2i2−i2−i20000i2−i2-222-200−i2i2−i2i20000000-22000000i2−i2000−i2i20000
χ482-22-22200-222-2-2-222-2-2i2−i20000i2i2−i2−i2-22-22−i2i2−i2i2000000i2−i2i2i2−i2−i20000−i2i2-22-2200−i2i2−i2i200000002-2000000−i2i2000i2−i20000
χ4944444-2-4-444-2-2-24-2-2-2-2002-4-42000000440000000022000000000-40000-2-200000000000000000020000000000000
χ5044444-2-4-444-2-2-24-2-2-2-2002-4-42000000-4-400000000220000000004000022000000000000000000-20000000000000
χ514444-24-4-4-2-2444-2-2-2-2-200-422-400004400000000002200000000-4000-2-20022000000000000000000000000000000
χ524444-24-4-4-2-2444-2-2-2-2-200-422-40000-4-40000000000220000000040002200-2-2000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-2-211-2110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-21111000000000000000022-1-12-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4221122-1-1-1-10000000000000000-2-2112-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44-2-21122-1-1-1-1000000000000000022-1-1-2110000000000000000000
χ5744-4-4444-44-4-4-44-44-44-4004-44-400000000000000004-4000000000000000000000000000000000000000000000000
χ5844-4-44-24-44-422-2-4-22-2200-2-4420000000000000023−23-2200000000000000000000000000023−230000000000000000000
χ5944-4-44-24-44-422-2-4-22-2200-2-44200000000000000−2323-22000000000000000000000000000−23230000000000000000000
χ6044-4-44-2-444-422-2-4-22-220024-4-200000000000000002-20000004-4000000000000000000000000000-2200000000000
χ6144-4-44-2-444-422-2-4-22-220024-4-200000000000000002-2000000-440000000000000000000000000002-200000000000
χ6244-4-4-244-4-22-4-442-22-220042-2-423−2323−23000000000000-220023−2323−23000000000000000000000000000000000000000000
χ6344-4-4-244-4-22-4-442-22-220042-2-4−2323−2323000000000000-2200−2323−2323000000000000000000000000000000000000000000
χ6444-4-4-24-44-22-4-442-22-2200-4-224000000004i4i−4i−4i00002-2000000000000000000−2i−2i2i2i00000000000000000000000000
χ6544-4-4-24-44-22-4-442-22-2200-4-22400000000−4i−4i4i4i00002-20000000000000000002i2i−2i−2i00000000000000000000000000
χ6644-4-4-2-24-4-2222-221-11-100-22-2223−2323−23000000000023−231-100−33−330000000000000000003-30−330000000000000000000
χ6744-4-4-2-24-4-2222-221-11-100-22-2223−2323−230000000000−23231-100−33−33000000000000000000-3303−30000000000000000000
χ6844-4-4-2-24-4-2222-221-11-100-22-22−2323−2323000000000023−231-1003−33−3000000000000000000-330−330000000000000000000
χ6944-4-4-2-24-4-2222-221-11-100-22-22−2323−23230000000000−23231-1003−33−30000000000000000003-303−30000000000000000000
χ704-44-44-200-44-222-4-2-222−2i22i20000−2i2−2i22i22i2004-40000000000i2−i2i2i2−i2−i20000−2i22i200-22000000000000000000000i2−i2000000000
χ714-44-44-200-44-222-4-2-222−2i22i20000−2i2−2i22i22i200-440000000000i2−i2i2i2−i2−i200002i2−2i2002-2000000000000000000000−i2i2000000000
χ724-44-44-200-44-222-4-2-2222i2−2i200002i22i2−2i2−2i2004-40000000000−i2i2−i2−i2i2i200002i2−2i200-22000000000000000000000−i2i2000000000
χ734-44-44-200-44-222-4-2-2222i2−2i200002i22i2−2i2−2i200-440000000000−i2i2−i2−i2i2i20000−2i22i2002-2000000000000000000000i2−i2000000000
χ744-44-4-24002-24-4-42-2-222−2i22i20000i2i2−i2−i24-400−2i22i2−2i22i2000000−2i22i2i2i2−i2−i2000000-220000i2−i2i2−i200000000000000000000000000
χ754-44-4-24002-24-4-42-2-222−2i22i20000i2i2−i2−i2-44002i2−2i22i2−2i2000000−2i22i2i2i2−i2−i20000002-20000−i2i2−i2i200000000000000000000000000
χ764-44-4-24002-24-4-42-2-2222i2−2i20000−i2−i2i2i24-4002i2−2i22i2−2i20000002i2−2i2−i2−i2i2i2000000-220000−i2i2−i2i200000000000000000000000000
χ774-44-4-24002-24-4-42-2-2222i2−2i20000−i2−i2i2i2-4400−2i22i2−2i22i20000002i2−2i2−i2−i2i2i20000002-20000i2−i2i2−i200000000000000000000000000
χ784-4-444400-4-4-44-444-4-440000000000000022−22−222200000000000000000000000022−22−222200000000000000000000000000
χ794-4-444400-4-4-44-444-4-4400000000000000−222222−22000000000000000000000000−222222−2200000000000000000000000000
χ804-4-44-240022-44-4-2-222-2000000i6−i6−i6i6000022−22−222200000000i6−i6−i6i60000000000−2i32i3−222−200000000000000000000000000
χ814-4-44-240022-44-4-2-222-2000000i6−i6−i6i60000−222222−2200000000i6−i6−i6i600000000002i3−2i32−2−2200000000000000000000000000
χ824-4-44-240022-44-4-2-222-2000000−i6i6i6−i6000022−22−222200000000−i6i6i6−i600000000002i3−2i3−222−200000000000000000000000000
χ834-4-44-240022-44-4-2-222-2000000−i6i6i6−i60000−222222−2200000000−i6i6i6−i60000000000−2i32i32−2−2200000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-4-4-88-4444-442-22-2004-44-40000000000000000-22000000000000000000000000000000000000000000000000
χ868-88-8-4-4004-4-444422-2-2−4i24i200002i22i2−2i2−2i2000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ878-88-8-4-4004-4-444422-2-24i2−4i20000−2i2−2i22i22i200000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ888-8-888-400-8-84-448-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400444-44-42-2-220000002i6−2i6−2i62i60000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ908-8-88-4-400444-44-42-2-22000000−2i62i62i6−2i60000000000000000i6−i6−i6i6000000000000000000000000000000000000000000

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