Finite Group Databasebeta

← Group #11868137

Character table — Group #11868137

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222224444444444666666888888888888812121212121212121212121616161616161616242424242424242424242424243636363648487272
order12233446636668812121212224466266681212242424242424246888812122424666242424242424666881224242424242488122428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1111-1-111-1-1111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-11-1111111-1-111111111111-1-1-1-111-1-1-1-11-1-1-1-1111-1-111111-1-1-1-1
χ41111111111111111111111111-1-1-11-1111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-11-1-1-1-11-111-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1-1-1111111111111111-1-1-111-1-11111111111-111-1-1-111-1-1-1-11-1-1-1-111-1-1
χ61111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-1-11-1111111-1-111-1-1-111-1-111-1-1-1-111-1-11-11111-11-1-1111-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11111-1-1-111-1111111-1-1
χ91111111111111-1-111111111111111-111-1-1-1-1-1-1111-1-1-1-111-1-1111-1-1-1-1-11-1111-111-1-1-1-1-111-1-1-11-11
χ101111111111111-1-111111111111111-111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-111-111-1-1-1-1-1-1-11-1-1111-11-1
χ111111111111111-1-11111111111-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-1-11-1-111-111-1-11-11-1-111-111-1-11-11-1
χ121111111111111-1-11111111111-1-1-11111-1-1-1-111-1-11-1-1111111-1-1-11-1-111-1-1-1-1-111-1-1-1111-1-111-11-11
χ131111111111111-1-11111-1-1-1-1-1-11111-111-1-1-1-1-1-111-111-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-11111111-1-1-111-111-1
χ141111111111111-1-11111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1-11-1-1-11-1-11111111-1-11-1-11
χ151111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1-1-11-1-11111111-1-1111-1-1-1-1-1111-1-11
χ161111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-111-1-1-11-1-1111-1-111-11-111-1-1111-1-1-111-1
χ1722222-2-22222222i−2i-2-2-2-222-2-22200020-2-22i2i−2i−2i000022i−2i00-2-20000002i−2i00000000002i−2i00000000000
χ1822222-2-22222222i−2i-2-2-2-2-2-222-2-200020-2-22i2i−2i−2i0000-2−2i2i00220000002i−2i0000000000−2i2i00000000000
χ1922222-2-2222222−2i2i-2-2-2-222-2-22200020-2-2−2i−2i2i2i00002−2i2i00-2-2000000−2i2i0000000000−2i2i00000000000
χ2022222-2-2222222−2i2i-2-2-2-2-2-222-2-200020-2-2−2i−2i2i2i0000-22i−2i0022000000−2i2i00000000002i−2i00000000000
χ212222-122-12-12-1-122-1-1222222-1-12-1-1-12-1-12-12-1-1-100-12200-1-1002-1-12-1-1-1-1200-1-1200-1-1-1-1000000000
χ222222-122-12-12-1-122-1-1222222-1-1-211-1-2-1-12-12-11100-12200-1-100-211-2-1-111-20011-200-1-111000000000
χ232222-122-12-12-1-122-1-122-2-2-2-2112-1-1-12-1-12-12-1-1-1001-2-20011002-1-12-1-1-1-1-20011-2001111000000000
χ242222-122-12-12-1-122-1-122-2-2-2-211-211-1-2-1-12-12-111001-2-2001100-211-2-1-111200-1-120011-1-1000000000
χ252222-122-12-12-1-1-2-2-1-1222222-1-12-1-1-1-2-1-1-21-211100-1-2-200-1-1002-1-1-21111200-1-1-2001111000000000
χ262222-122-12-12-1-1-2-2-1-1222222-1-1-211-12-1-1-21-21-1-100-1-2-200-1-100-211211-1-1-2001120011-1-1000000000
χ272222-122-12-12-1-1-2-2-1-122-2-2-2-2112-1-1-1-2-1-1-21-2111001220011002-1-1-21111-20011200-1-1-1-1000000000
χ282222-122-12-12-1-1-2-2-1-122-2-2-2-211-211-12-1-1-21-21-1-100122001100-211211-1-1200-1-1-200-1-111000000000
χ292222-1-2-2-12-12-1-12i−2i11-2-222-2-2-1-10−i3i3-10112i−i−2ii3−300-12i−2i0011000−i3i30−ii3−3000−i3i3000−ii3−3000000000
χ302222-1-2-2-12-12-1-12i−2i11-2-222-2-2-1-10i3−i3-10112i−i−2ii−3300-12i−2i0011000i3−i30−ii−33000i3−i3000−ii−33000000000
χ312222-1-2-2-12-12-1-12i−2i11-2-2-2-222110−i3i3-10112i−i−2ii3−3001−2i2i00-1-1000−i3i30−ii3−3000i3−i3000i−i−33000000000
χ322222-1-2-2-12-12-1-12i−2i11-2-2-2-222110i3−i3-10112i−i−2ii−33001−2i2i00-1-1000i3−i30−ii−33000−i3i3000i−i3−3000000000
χ332222-1-2-2-12-12-1-1−2i2i11-2-222-2-2-1-10−i3i3-1011−2ii2i−i−3300-1−2i2i0011000−i3i30i−i−33000−i3i3000i−i−33000000000
χ342222-1-2-2-12-12-1-1−2i2i11-2-222-2-2-1-10i3−i3-1011−2ii2i−i3−300-1−2i2i0011000i3−i30i−i3−3000i3−i3000i−i3−3000000000
χ352222-1-2-2-12-12-1-1−2i2i11-2-2-2-222110−i3i3-1011−2ii2i−i−330012i−2i00-1-1000−i3i30i−i−33000i3−i3000−ii3−3000000000
χ362222-1-2-2-12-12-1-1−2i2i11-2-2-2-222110i3−i3-1011−2ii2i−i3−30012i−2i00-1-1000i3−i30i−i3−3000−i3i3000−ii−33000000000
χ37222-12222-1-1-12-12222-1-1000000222-12-1-1-12-1222220002200-1-1-1-1-1-1-1-1-1-102-10002-10000-10000-1-100
χ38222-12222-1-1-12-12222-1-1000000222-12-1-1-12-1222-2-2000-2-20011-1-1-1-1-1-1-1-10-21000-210000100001100
χ39222-12222-1-1-12-12222-1-1000000-2-2-2-1-2-1-1-12-12-2-2220002200-1-11111-1-1110-2-1000-2-10000-100001100
χ40222-12222-1-1-12-12222-1-1000000-2-2-2-1-2-1-1-12-12-2-2-2-2000-2-200111111-1-11102100021000010000-1-100
χ41222-12222-1-1-12-1-2-222-1-1000000222-1-2-1-11-21-2-2-222000-2-20011-1-1-1111110-2-10002-10000100001-100
χ42222-12222-1-1-12-1-2-222-1-1000000222-1-2-1-11-21-2-2-2-2-20002200-1-1-1-1-111111021000-210000-10000-1100
χ43222-12222-1-1-12-1-2-222-1-1000000-2-2-2-12-1-11-21-22222000-2-20011111-111-1-102-1000-2-1000010000-1100
χ44222-12222-1-1-12-1-2-222-1-1000000-2-2-2-12-1-11-21-222-2-20002200-1-1111-111-1-10-21000210000-100001-100
χ4522-2222-2222-2-22002-22-22-22-222000-202-200000000-2002-22-22200000000000000000000-2002-20000
χ4622-2222-2222-2-22002-22-22-22-222000-202-200000000-200-222-2-2-200000000000000000000200-220000
χ4722-2222-2222-2-22002-22-2-22-22-2-2000-202-2000000002002-2-222200000000000000000000-200-220000
χ4822-2222-2222-2-22002-22-2-22-22-2-2000-202-200000000200-22-22-2-2000000000000000000002002-20000
χ4922-222-22222-2-2200-22-222-2-2222000-20-220000002-2-20000-2200000000000020000-200000-22000000
χ5022-222-22222-2-2200-22-222-2-2222000-20-22000000-22-20000-22000000000000-200002000002-2000000
χ5122-222-22222-2-2200-22-22-222-2-2-2000-20-220000002-2200002-200000000000020000-2000002-2000000
χ5222-222-22222-2-2200-22-22-222-2-2-2000-20-22000000-22200002-2000000000000-20000200000-22000000
χ53444-24-4-44-2-2-24-24i−4i-4-422000000000-2022−2i4i2i−4i00000000000000000−2i2i00000000000000000000000
χ54444-24-4-44-2-2-24-2−4i4i-4-422000000000-20222i−4i−2i4i000000000000000002i−2i00000000000000000000000
χ55444-2-244-2-21-2-2144-2-2-2-20000004-2-21411-2-2-2-2-2-200000000000-211-21111000000000000000000000
χ56444-2-244-2-21-2-2144-2-2-2-2000000-4221-411-2-2-2-222000000000002-1-1211-1-1000000000000000000000
χ57444-2-244-2-21-2-21-4-4-2-2-2-20000004-2-21-41122222200000000000-2112-1-1-1-1000000000000000000000
χ58444-2-244-2-21-2-21-4-4-2-2-2-2000000-42214112222-2-2000000000002-1-1-2-1-111000000000000000000000
χ59444-2-2-4-4-2-21-2-214i−4i22220000000−2i32i310-1-1−2i−2i2i2i23−23000000000000i3−i30i−i−33000000000000000000000
χ60444-2-2-4-4-2-21-2-214i−4i222200000002i3−2i310-1-1−2i−2i2i2i−2323000000000000−i3i30i−i3−3000000000000000000000
χ61444-2-2-4-4-2-21-2-21−4i4i22220000000−2i32i310-1-12i2i−2i−2i−2323000000000000i3−i30−ii3−3000000000000000000000
χ62444-2-2-4-4-2-21-2-21−4i4i222200000002i3−2i310-1-12i2i−2i−2i23−23000000000000−i3i30−ii−33000000000000000000000
χ6344-44-24-4-24-2-42-200-224-44-44-4-2-200020-220000000020000-220000000000000000000000000000000
χ6444-44-24-4-24-2-42-200-224-4-44-442200020-2200000000-200002-20000000000000000000000000000000
χ6544-44-2-44-24-2-42-2002-2-444-4-44-2-2000202-200000000200002-20000000000000000000000000000000
χ6644-44-2-44-24-2-42-2002-2-44-444-422000202-200000000-20000-220000000000000000000000000000000
χ6744-4-244-44-2-22-4-2004-4-2200000000020-22000000000004-400-2-200000000000000000000200000000
χ6844-4-244-44-2-22-4-2004-4-2200000000020-2200000000000-44002200000000000000000000-200000000
χ6944-4-24-444-2-22-4-200-442-2000000000202-20000004-40000000000000000000-2000020000000000000
χ7044-4-24-444-2-22-4-200-442-2000000000202-2000000-44000000000000000000020000-20000000000000
χ7188-8-4-48-8-4-4244200-44-44000000000-202-20000000000000000000000000000000000000000000000
χ7288-8-4-4-88-4-42442004-44-4000000000-20-220000000000000000000000000000000000000000000000
χ738-808800-8-8800-800000000000000000000000000000000000000000000000000000000000000000
χ748-808-4004-8-40040000000000−4i34i300000000000000000000000000000000000000000000000000000
χ758-808-4004-8-400400000000004i3−4i300000000000000000000000000000000000000000000000000000
χ768-80-4800-84-4004000000000000000000000000000000000026−2600000000000000000000000000000
χ778-80-4800-84-40040000000000000000000000000000000000−262600000000000000000000000000000
χ7816-160-8-80088400-400000000000000000000000000000000000000000000000000000000000000000

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