Finite Group Databasebeta

← Group #11878803

Character table — Group #11878803

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444444444888888888888888888888818181818181824242424242424242424242424242424363636363648484848
order1222334444666666346668888121212121212121212121212121212121212242424242424242424242424242424244444442222444466661212121228888661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11-11
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11-11-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-11-11-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-111-1-1-11111-11-11
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-1-111-111111-11-1
χ9111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111-1-111-1-1
χ10111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-111
χ11111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1111-1-11
χ12111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-111-111-1
χ13111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-11-1-11-111111-1-1-1-1-1-1-111-1-111
χ14111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11-111-11-1-1-1-1-11111-1-1-11111-1-1
χ15111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11-111-111-1-1-1-111111-1-1-111-1
χ16111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-111-11-1-11-1-11111-1-1111-1-11-1-11
χ1722222222-2-22222222-22220000-2-22222-2-2-2-2-2-2-2-222-2-2000000000000000022-2-2220000000000000000-200000000
χ1822222222-2-22222222-22220000-2-22222-2-2-2-2-2-2-2-222-2-20000000000000000-2-222-2-20000000000000000200000000
χ19222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-222000000000000000022-2-2-2-20000000000000000200000000
χ20222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-222220000000000000000-200000000
χ2122222-122222-122-1-1-12-1-1-122222-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000022002200-1-100-1-1000000-10-1
χ2222222-122222-122-1-1-12-1-1-122222-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-200-2-200110011000000101
χ2322222-122222-122-1-1-12-1-1-1-2-2-2-22-122-1-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-2111111000000002-2002-200-1-100-1-1000000101
χ2422222-122222-122-1-1-12-1-1-1-2-2-2-22-122-1-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-211111100000000-2200-2200110011000000-10-1
χ2522222-1-2-2222-122-1-1-1-2-1-1-122-2-22-1-2-211-1-12-1-1-1-21111122-1-1-1-1-1-1-2-2111111000000002200-2-200-1-10011000000-101
χ2622222-1-2-2222-122-1-1-1-2-1-1-122-2-22-1-2-211-1-12-1-1-1-21111122-1-1-1-1-1-1-2-211111100000000-2-20022001100-1-100000010-1
χ2722222-1-2-2222-122-1-1-1-2-1-1-1-2-2222-1-2-211-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-1000000002-200-2200-1-1001100000010-1
χ2822222-1-2-2222-122-1-1-1-2-1-1-1-2-2222-1-2-211-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-100000000-22002-2001100-1-1000000-101
χ292222-122222-12-1-122-12-1-1-12222-12-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000022002200-1-100-1-10000000-10-10
χ302222-122222-12-1-122-12-1-1-12222-12-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-2-200-2-20011001100000001010
χ312222-122222-12-1-122-12-1-1-1-2-2-2-2-12-1-122-1-1-12-1-1-12-1-1-1-111-2-2111111-2-211110000002-2002-200-1-100-1-100000001010
χ322222-122222-12-1-122-12-1-1-1-2-2-2-2-12-1-122-1-1-12-1-1-12-1-1-1-111-2-2111111-2-21111000000-2200-22001100110000000-10-10
χ332222-12-2-222-12-1-122-1-2-1-1-122-2-2-1211-2-2-1-1-12-1-11-21111-1-122-1-1-1-111-2-211110000002200-2-200-1-100110000000-1010
χ342222-12-2-222-12-1-122-1-2-1-1-122-2-2-1211-2-2-1-1-12-1-11-21111-1-122-1-1-1-111-2-21111000000-2-20022001100-1-1000000010-10
χ352222-12-2-222-12-1-122-1-2-1-1-1-2-222-1211-2-2-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-10000002-200-2200-1-10011000000010-10
χ362222-12-2-222-12-1-122-1-2-1-1-1-2-222-1211-2-2-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-1000000-22002-2001100-1-10000000-1010
χ3722-2-2222i−2i0022-2-2-2-2202-2-22−2−i2i2002i−2i2i−2i000000002i−2i002−22−222−2−2−i2i2−i2i2−i2−i2i2i22-2002i−2i000000000000000002−2−i2i20000
χ3822-2-2222i−2i0022-2-2-2-2202-2-22−2−i2i2002i−2i2i−2i000000002i−2i002−22−222−2−2−i2i2−i2i2−i2−i2i2i2-2200−2i2i00000000000000000−22i2−i20000
χ3922-2-2222i−2i0022-2-2-2-2202-2-2−22i2−i2002i−2i2i−2i000000002i−2i00−22−22−2−222i2−i2i2−i2i2i2−i2−i22-2002i−2i00000000000000000−22i2−i20000
χ4022-2-2222i−2i0022-2-2-2-2202-2-2−22i2−i2002i−2i2i−2i000000002i−2i00−22−22−2−222i2−i2i2−i2i2i2−i2−i2-2200−2i2i000000000000000002−2−i2i20000
χ4122-2-222−2i2i0022-2-2-2-2202-2-22−2i2−i200−2i2i−2i2i00000000−2i2i002−22−222−2−2i2−i2i2−i2i2i2−i2−i22-200−2i2i000000000000000002−2i2−i20000
χ4222-2-222−2i2i0022-2-2-2-2202-2-22−2i2−i200−2i2i−2i2i00000000−2i2i002−22−222−2−2i2−i2i2−i2i2i2−i2−i2-22002i−2i00000000000000000−22−i2i20000
χ4322-2-222−2i2i0022-2-2-2-2202-2-2−22−i2i200−2i2i−2i2i00000000−2i2i00−22−22−2−222−i2i2−i2i2−i2−i2i2i22-200−2i2i00000000000000000−22−i2i20000
χ4422-2-222−2i2i0022-2-2-2-2202-2-2−22−i2i200−2i2i−2i2i00000000−2i2i00−22−22−2−222−i2i2−i2i2−i2−i2i2i2-22002i−2i000000000000000002−2i2−i20000
χ4544444-244-4-44-244-2-2-2-4-2-2-20000-4244-2-222-4222-42-2-22200000000000000000000000000000000000000000000000
χ4644444-2-4-4-4-44-244-2-2-24-2-2-20000-42-4-42222-42224-222-2-200000000000000000000000000000000000000000000000
χ474444-2444-4-4-24-2-244-2-4-2-2-200002-4-2-244222-4222-4-2-22200000000000000000000000000000000000000000000000
χ484444-24-4-4-4-4-24-2-244-24-2-2-200002-422-4-4222-422-2422-2-200000000000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-2141114444-2-2-2-2-2-211-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000
χ514444-2-244-4-4-2-2-2-2-2-21-4111000022-2-2-2-2-1-122-1-12211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000
χ524444-2-244-4-4-2-2-2-2-2-21-4111000022-2-2-2-2-1-122-1-12211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000
χ534444-2-2-4-444-2-2-2-2-2-21-411144-4-4-2-2222211-2-21122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000
χ544444-2-2-4-444-2-2-2-2-2-21-4111-4-444-2-2222211-2-21122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000
χ5744-4-44-24i−4i004-2-4-422-20-22222−22−2i22i2004i−4i−2i2i00000000−2i2i0022−22−22−2−222−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000
χ5844-4-44-24i−4i004-2-4-422-20-222−22222i2−2i2004i−4i−2i2i00000000−2i2i00−22222−222−2−22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000
χ5944-4-44-2−4i4i004-2-4-422-20-22222−222i2−2i200−4i4i2i−2i000000002i−2i0022−22−22−2−2222i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000
χ6044-4-44-2−4i4i004-2-4-422-20-222−2222−2i22i200−4i4i2i−2i000000002i−2i00−22222−222−2−2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000
χ6144-4-4-244i−4i00-2422-4-4-20-22222−22−2i22i200−2i2i4i−4i00000000−2i2i00−2222−22−2−222i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000
χ6244-4-4-244i−4i00-2422-4-4-20-222−22222i2−2i200−2i2i4i−4i00000000−2i2i002−2−222222−2−2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000
χ6344-4-4-24−4i4i00-2422-4-4-20-22222−222i2−2i2002i−2i−4i4i000000002i−2i00−2222−22−2−222−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000
χ6444-4-4-24−4i4i00-2422-4-4-20-222−2222−2i22i2002i−2i−4i4i000000002i−2i002−2−222222−2−2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000
χ6544-4-4-2-24i−4i00-2-22222101-1-122−22−2i22i200−2i2i−2i2i3i−3i003i−3i00i−i3-3−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000
χ6644-4-4-2-24i−4i00-2-22222101-1-122−22−2i22i200−2i2i−2i2i−3i3i00−3i3i00i−i-33−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000000
χ6744-4-4-2-24i−4i00-2-22222101-1-1−22222i2−2i200−2i2i−2i2i3i−3i003i−3i00i−i3-32−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000000
χ6844-4-4-2-24i−4i00-2-22222101-1-1−22222i2−2i200−2i2i−2i2i−3i3i00−3i3i00i−i-332−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000000
χ6944-4-4-2-2−4i4i00-2-22222101-1-122−222i2−2i2002i−2i2i−2i3i−3i003i−3i00−ii-33−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000000
χ7044-4-4-2-2−4i4i00-2-22222101-1-122−222i2−2i2002i−2i2i−2i−3i3i00−3i3i00−ii3-3−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000000
χ7144-4-4-2-2−4i4i00-2-22222101-1-1−2222−2i22i2002i−2i2i−2i3i−3i003i−3i00−ii-332−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000
χ7244-4-4-2-2−4i4i00-2-22222101-1-1−2222−2i22i2002i−2i2i−2i−3i3i00−3i3i00−ii3-32−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000000
χ734-44-4440000-4-44-44-440-44-400000000000000000000000000000000000000004-4000000000000000000000000000
χ744-44-4440000-4-44-44-440-44-40000000000000000000000000000000000000000-44000000000000000000000000000
χ754-4-4444004-4-4-4-44-4440-4-440000-4-40000-4-4444400000000000000000000000000000000000000000000000000000
χ764-4-444400-44-4-4-44-4440-4-44000044000044-4-4-4-400000000000000000000000000000000000000000000000000000
χ774-4-444-2004-4-42-442-2-2022-20000-420000224-2-2-200000000000000000000000000000000000000−2i32i30000000000000
χ784-4-444-2004-4-42-442-2-2022-20000-420000224-2-2-2000000000000000000000000000000000000002i3−2i30000000000000
χ794-4-444-200-44-42-442-2-2022-200004-20000-2-2-422200000000000000000000000000000000000000000023−23000000000
χ804-4-444-200-44-42-442-2-2022-200004-20000-2-2-4222000000000000000000000000000000000000000000−2323000000000
χ814-4-44-24004-42-42-2-44-2022-200002-4000022-24-2-2000000000000000000000000000000000000−2i32i3000000000000000
χ824-4-44-24004-42-42-2-44-2022-200002-4000022-24-2-20000000000000000000000000000000000002i3−2i3000000000000000
χ834-4-44-2400-442-42-2-44-2022-20000-240000-2-22-422000000000000000000000000000000000000000023−2300000000000
χ844-4-44-2400-442-42-2-44-2022-20000-240000-2-22-4220000000000000000000000000000000000000000−232300000000000
χ858-88-88-40000-848-8-44-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4800004-8-448-8-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-4000044-44-4420-22-200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ888-88-8-4-4000044-44-4420-22-20000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000
χ898-8-88-4-4008-8444-44-420-2-220000440000-2-2-4-42200000000000000000000000000000000000000000000000000000
χ908-8-88-4-400-88444-44-420-2-220000-4-400002244-2-200000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.