Finite Group Databasebeta

← Group #11797138

Character table — Group #11797138

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222222244444444444444488888888889912121212121212121616161616161616181818181824242424242424242424242436484848487272
order122334466883666812121212121224242424688122424242424244416161616161616162424242424242424224884444484848484848484881212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ3111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1
χ5111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1
χ7111111111111111111111111111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-111
χ911-1111-1111111-1-1-111-1-1-1-11111-1i−i1-1-111-1-11111-1-111-1-1iiii−i−i−i−i1-1-111i−ii−i11-1-111-1-1-1i−ii−ii−i
χ1011-1111-1111111-1-1-111-1-1-1-11111-1i−i1-1-111-1-111-1-111-1-111iiii−i−i−i−i1-1-111−ii−ii-1-111-1-111-1−ii−iii−i
χ1111-1111-1111111-1-1-111-1-1-1-11111-1i−i1-1-111-1-1-1-111-1-1-1-111iiii−i−i−i−i-111-1-1i−i−ii11-1-1-1-1111i−i−ii−ii
χ1211-1111-1111111-1-1-111-1-1-1-11111-1i−i1-1-111-1-1-1-1-1-11111-1-1iiii−i−i−i−i-111-1-1−iii−i-1-11111-1-11−iii−i−ii
χ1311-1111-1111111-1-1-111-1-1-1-11111-1−ii1-1-111-1-11111-1-111-1-1−i−i−i−iiiii1-1-111−ii−ii11-1-111-1-1-1−ii−ii−ii
χ1411-1111-1111111-1-1-111-1-1-1-11111-1−ii1-1-111-1-111-1-111-1-111−i−i−i−iiiii1-1-111i−ii−i-1-111-1-111-1i−ii−i−ii
χ1511-1111-1111111-1-1-111-1-1-1-11111-1−ii1-1-111-1-1-1-111-1-1-1-111−i−i−i−iiiii-111-1-1−iii−i11-1-1-1-1111−iii−ii−i
χ1611-1111-1111111-1-1-111-1-1-1-11111-1−ii1-1-111-1-1-1-1-1-11111-1-1−i−i−i−iiiii-111-1-1i−i−ii-1-11111-1-11i−i−iii−i
χ17222222222-2-22222-2222222-2-2-2-22002-2-2-2-2-2-2220000000000000000222-2-2000000000000-2000000
χ18222222222-2-22222-2222222-2-2-2-22002-2-2-2-2-2-2-2-20000000000000000-2-2-2220000000000002000000
χ1922222-2-2220022220-2-2-2-2-2-20000200-200000022i2−i2i2−i2i2−i2i2−i200000000-2-22000000i2−i2i2−i2i2−i2i2−i20000000
χ2022222-2-2220022220-2-2-2-2-2-20000200-200000022−i2i2−i2i2−i2i2−i2i200000000-2-22000000−i2i2−i2i2−i2i2−i2i20000000
χ2122222-2-2220022220-2-2-2-2-2-20000200-2000000-2-2i2−i2i2−i2−i2i2−i2i20000000022-2000000i2−i2i2−i2−i2i2−i2i20000000
χ2222222-2-2220022220-2-2-2-2-2-20000200-2000000-2-2−i2i2−i2i2i2−i2i2−i20000000022-2000000−i2i2−i2i2i2−i2i2−i20000000
χ232222-1222-122-1-12-122-12-1-1-122-1-1-122-12-1-1-1-1-100000022222-1-1-12-1-1-10000000220000-1-1-1-1000-1-100
χ242222-1222-122-1-12-122-12-1-1-122-1-1-122-12-1-1-1-1-1000000-2-2-2-22-1-1-12-1-1-10000000-2-2000011110001100
χ252222-1222-122-1-12-122-12-1-1-122-1-1-1-2-2-12-1-1-1-1-10000002222-2111-21110000000-2-20000-1-1-1-10001100
χ262222-1222-122-1-12-122-12-1-1-122-1-1-1-2-2-12-1-1-1-1-1000000-2-2-2-2-2111-211100000002200001111000-1-100
χ27222-1222-1222-1-1-122-12-12-1-1-1-122-122-1-12-1-1-1-10022220000-12-1-1-12-1-1000002200-1-1-1-100000-1-10000
χ28222-1222-1222-1-1-122-12-12-1-1-1-122-122-1-12-1-1-1-100-2-2-2-20000-12-1-1-12-1-100000-2-200111100000110000
χ29222-1222-1222-1-1-122-12-12-1-1-1-122-1-2-2-1-12-1-1-1-100222200001-2111-21100000-2-200-1-1-1-100000110000
χ30222-1222-1222-1-1-122-12-12-1-1-1-122-1-2-2-1-12-1-1-1-100-2-2-2-200001-2111-211000002200111100000-1-10000
χ3122-2222-222-2-222-2-2222-2-2-2-2-2-2-2-2-200222-2-2222200000000000000002-2-2-2-20000000000002000000
χ3222-2222-222-2-222-2-2222-2-2-2-2-2-2-2-2-200222-2-222-2-20000000000000000-22222000000000000-2000000
χ3322-222-22220022-2-20-2-222220000-200-200000022i2−i2−i2i2i2−i2−i2i200000000-22-2000000i2−i2−i2i2i2−i2−i2i20000000
χ3422-222-22220022-2-20-2-222220000-200-200000022−i2i2i2−i2−i2i2i2−i200000000-22-2000000−i2i2i2−i2−i2i2i2−i20000000
χ3522-222-22220022-2-20-2-222220000-200-2000000-2-2i2−i2−i2i2−i2i2i2−i2000000002-22000000i2−i2−i2i2−i2i2i2−i20000000
χ3622-222-22220022-2-20-2-222220000-200-2000000-2-2−i2i2i2−i2i2−i2−i2i2000000002-22000000−i2i2i2−i2i2−i2−i2i20000000
χ3722-22-12-22-122-1-1-21-22-1-211122-1-112i−2i-1-21-1-11100000022-2-22i−i−i−i−2iiii00000002i−2i0000-1-111000−ii00
χ3822-22-12-22-122-1-1-21-22-1-211122-1-112i−2i-1-21-1-111000000-2-2222i−i−i−i−2iiii0000000−2i2i000011-1-1000i−i00
χ3922-22-12-22-122-1-1-21-22-1-211122-1-11−2i2i-1-21-1-11100000022-2-2−2iiii2i−i−i−i0000000−2i2i0000-1-111000i−i00
χ4022-22-12-22-122-1-1-21-22-1-211122-1-11−2i2i-1-21-1-111000000-2-222−2iiii2i−i−i−i00000002i−2i000011-1-1000−ii00
χ4122-2-122-2-1222-1-11-2-2-121-211-1-12212i−2i-11-2-1-1110022-2-20000−i2i−i−ii−2iii000002i−2i00-1-11100000−ii0000
χ4222-2-122-2-1222-1-11-2-2-121-211-1-12212i−2i-11-2-1-11100-2-2220000−i2i−i−ii−2iii00000−2i2i0011-1-100000i−i0000
χ4322-2-122-2-1222-1-11-2-2-121-211-1-1221−2i2i-11-2-1-1110022-2-20000i−2iii−i2i−i−i00000−2i2i00-1-11100000i−i0000
χ4422-2-122-2-1222-1-11-2-2-121-211-1-1221−2i2i-11-2-1-11100-2-2220000i−2iii−i2i−i−i000002i−2i0011-1-100000−ii0000
χ454444-2444-2-4-4-2-24-2-44-24-2-2-2-4-422-200-2-422222000000000000000000000000000000000000000000
χ464444-2-4-44-200-2-24-20-42-42220000-20020000000000002i2−2i22i2−2i2000000000000000000000−i2i2−i2i20000000
χ474444-2-4-44-200-2-24-20-42-42220000-2002000000000000−2i22i2−2i22i2000000000000000000000i2−i2i2−i20000000
χ48444-2444-24-4-4-2-2-24-4-24-24-2-222-4-4-200-22-42222000000000000000000000000000000000000000000
χ49444-24-4-4-2400-2-2-2402-42-4220000-2002000000002i2−2i22i2−2i2000000000000000000000−i2i2−i2i200000000000
χ50444-24-4-4-2400-2-2-2402-42-4220000-200200000000−2i22i2−2i22i2000000000000000000000i2−i2i2−i200000000000
χ51444-2-244-2-24411-2-24-2-2-2-211-2-2-2-21441-2-211110000000000-2-211-2-211000000000000000000000000
χ52444-2-244-2-24411-2-24-2-2-2-211-2-2-2-21-4-41-2-21111000000000022-1-122-1-1000000000000000000000000
χ53444-2-244-2-2-4-411-2-2-4-2-2-2-2112222100122-1-1-1-10000000000003-3003-3000000000000000000000000
χ54444-2-244-2-2-4-411-2-2-4-2-2-2-2112222100122-1-1-1-1000000000000-3300-33000000000000000000000000
χ5544-44-24-44-2-4-4-2-2-4244-2-4222-4-422200-24-222-2-2000000000000000000000000000000000000000000
χ5644-44-2-444-200-2-2-420-424-2-2-2000020020000000000002i2−2i2−2i22i2000000000000000000000−i2i2i2−i20000000
χ5744-44-2-444-200-2-2-420-424-2-2-200002002000000000000−2i22i22i2−2i2000000000000000000000i2−i2−i2i20000000
χ5844-4-244-4-24-4-4-2-22-44-242-42222-4-4200-2-2422-2-2000000000000000000000000000000000000000000
χ5944-4-24-44-2400-2-22-402-4-24-2-200002002000000002i2−2i2−2i22i2000000000000000000000−i2i2i2−i200000000000
χ6044-4-24-44-2400-2-22-402-4-24-2-20000200200000000−2i22i22i2−2i2000000000000000000000i2−i2−i2i200000000000
χ6144-4-2-24-4-2-2441122-4-2-222-1-1-2-2-2-2-14i−4i12211-1-10000000000−2i−2iii2i2i−i−i000000000000000000000000
χ6244-4-2-24-4-2-2441122-4-2-222-1-1-2-2-2-2-1−4i4i12211-1-100000000002i2i−i−i−2i−2iii000000000000000000000000
χ6344-4-2-24-4-2-2-4-411224-2-222-1-12222-1001-2-2-1-1110000000000003i−3i00−3i3i000000000000000000000000
χ6444-4-2-24-4-2-2-4-411224-2-222-1-12222-1001-2-2-1-111000000000000−3i3i003i−3i000000000000000000000000
χ654-404400-4-42i2−2i24-40000000002i2−2i22i2−2i20000002i2−2i2004i−4i000000000000000000022−220000000000000000000
χ664-404400-4-42i2−2i24-40000000002i2−2i22i2−2i20000002i2−2i200−4i4i0000000000000000000−22220000000000000000000
χ674-404400-4-4−2i22i24-4000000000−2i22i2−2i22i2000000−2i22i2004i−4i0000000000000000000−22220000000000000000000
χ684-404400-4-4−2i22i24-4000000000−2i22i2−2i22i2000000−2i22i200−4i4i000000000000000000022−220000000000000000000
χ69888-4-4-8-8-4-40022-4-404444-2-20000200-2000000000000000000000000000000000000000000000000
χ7088-8-4-4-88-4-4002244044-4-4220000-200-2000000000000000000000000000000000000000000000000
χ718-808-400-844i2−4i2-440000000004i2−4i2−2i22i2000000−2i22i200000000000000000000000000000000000000000000
χ728-808-400-84−4i24i2-44000000000−4i24i22i2−2i20000002i2−2i200000000000000000000000000000000000000000000
χ738-80-48004-84i2−4i2-44000000000−2i22i24i2−4i2000000−2i22i200000000000000000000000000000000000000000000
χ748-80-48004-8−4i24i2-440000000002i2−2i2−4i24i20000002i2−2i200000000000000000000000000000000000000000000
χ758-80-4-400444i2−4i22-200000006i−6i−2i22i2−2i22i2000000i2−i232−32000000000000000000000000000000000000000000
χ768-80-4-400444i2−4i22-20000000−6i6i−2i22i2−2i22i2000000i2−i2−3232000000000000000000000000000000000000000000
χ778-80-4-40044−4i24i22-200000006i−6i2i2−2i22i2−2i2000000−i2i2−3232000000000000000000000000000000000000000000
χ788-80-4-40044−4i24i22-20000000−6i6i2i2−2i22i2−2i2000000−i2i232−32000000000000000000000000000000000000000000

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