Finite Group Databasebeta

← Group #11921070

Character table — Group #11921070

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222223333444444446666668888888888881212121212121212161616161616161616161616161616161616363636363636363672727272
order12442346121222446881224242424246612123336661212121212126881224242424666121212242424242424242424242424888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111-1-11-1-1-1-11111111111111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111-1-11-1-1-1-11111111111111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1-1111-1-111-1-1-1i−i1ii−i−i-1111-1-1111111-1-1-1-1-1-1-1i−i1ii−i−i-1-1-1111iiiiii−i−i−i−i−i−i11-1-111-1-1i−ii−i
χ611-1-1-1111-1-111-1-1-1i−i1ii−i−i-1111-1-1111111-1-1-1-1-1-1-1i−i1ii−i−i-1-1-1111iiiiii−i−i−i−i−i−i-1-111-1-111−ii−ii
χ711-1-1-1111-1-111-1-1-1−ii1−i−iii-1111-1-1111111-1-1-1-1-1-1-1−ii1−i−iii-1-1-1111−i−i−i−i−i−iiiiiii11-1-111-1-1−ii−ii
χ811-1-1-1111-1-111-1-1-1−ii1−i−iii-1111-1-1111111-1-1-1-1-1-1-1−ii1−i−iii-1-1-1111−i−i−i−i−i−iiiiiii-1-111-1-111i−ii−i
χ92222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ10222222222222222-2-22-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-12-2-22-2-2-2-2-1-1-1-1-1-1111111111111000000000000
χ1122222-12-1-1-12222-122-1-1-1-1-122-1-1-1-12-1-12-1-122-1-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-1000000000000
χ1222222-12-1-1-12222-122-1-1-1-1-122-1-1-1-1-12-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-12-1-1-122-1-1-1-122-1-1000000000000
χ1322222-12-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-12-1-12-1-1-1-122-122-1-1-1-1-1-1-12-1-12-1-1-1-122-1-1-1-122000000000000
χ1422222-12-1-1-12222-1-2-2-1111122-1-1-1-12-1-12-1-122-1-1-1-1-1-2-2-111112-1-12-1-1-2-21111-2-21111000000000000
χ1522222-12-1-1-12222-1-2-2-1111122-1-1-1-1-12-1-12-1-1-122-1-1-1-2-2-11111-12-1-12-111-2-21111-2-211000000000000
χ1622222-12-1-1-12222-1-2-2-1111122-1-1-1-1-1-12-1-12-1-1-1-122-1-2-2-11111-1-12-1-121111-2-21111-2-2000000000000
χ172222-22-22222222-200-20000-2-22222222222222222-200-20000-2-2-2-2-2-2000000000000000000000000
χ182222-22-22222222-200-20000-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-200-20000111111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000
χ192222-22-22222222-200-20000-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-200-20000111111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000
χ202222-2-1-2-1-1-122221001−i3i3−i3i3-2-2-1-1-1-12-1-12-1-122-1-1-1-11001−i3i3−i3i3-211-21100−i3i3i3−i300−i3i3i3−i3000000000000
χ212222-2-1-2-1-1-122221001−i3i3−i3i3-2-2-1-1-1-1-12-1-12-1-1-122-1-11001−i3i3−i3i31-211-21i3−i300−i3i3i3−i300−i3i3000000000000
χ222222-2-1-2-1-1-122221001−i3i3−i3i3-2-2-1-1-1-1-1-12-1-12-1-1-1-1221001−i3i3−i3i311-211-2−i3i3i3−i300−i3i3i3−i300000000000000
χ232222-2-1-2-1-1-122221001i3−i3i3−i3-2-2-1-1-1-12-1-12-1-122-1-1-1-11001i3−i3i3−i3-211-21100i3−i3−i3i300i3−i3−i3i3000000000000
χ242222-2-1-2-1-1-122221001i3−i3i3−i3-2-2-1-1-1-1-12-1-12-1-1-122-1-11001i3−i3i3−i31-211-21−i3i300i3−i3−i3i300i3−i3000000000000
χ252222-2-1-2-1-1-122221001i3−i3i3−i3-2-2-1-1-1-1-1-12-1-12-1-1-1-1221001i3−i3i3−i311-211-2i3−i3−i3i300i3−i3−i3i300000000000000
χ2622-2-222-22-2-222-2-2200-200002-222-2-2222222-2-2-2-2-2-2200-20000222-2-2-2000000000000000000000000
χ2722-2-222-22-2-222-2-2200-200002-222-2-2-1-1-1-1-1-1111111200-20000-1-1-11113−33−33−3−33−33−33000000000000
χ2822-2-222-22-2-222-2-2200-200002-222-2-2-1-1-1-1-1-1111111200-20000-1-1-1111−33−33−333−33−33−3000000000000
χ2922-2-22-1-2-11122-2-2-10013−3−332-2-1-1112-1-12-1-1-2-21111-10013−3−332-1-1-211003−3−3300−333−3000000000000
χ3022-2-22-1-2-11122-2-2-10013−3−332-2-1-111-12-1-12-111-2-211-10013−3−33-12-11-21−33003−33−300−33000000000000
χ3122-2-22-1-2-11122-2-2-10013−3−332-2-1-111-1-12-1-121111-2-2-10013−3−33-1-1211-23−3−3300−333−300000000000000
χ3222-2-22-1-2-11122-2-2-1001−333−32-2-1-1112-1-12-1-1-2-21111-1001−333−32-1-1-21100−333−3003−3−33000000000000
χ3322-2-22-1-2-11122-2-2-1001−333−32-2-1-111-12-1-12-111-2-211-1001−333−3-12-11-213−300−33−33003−3000000000000
χ3422-2-22-1-2-11122-2-2-1001−333−32-2-1-111-1-12-1-121111-2-2-1001−333−3-1-1211-2−333−3003−3−3300000000000000
χ3522-2-2-2222-2-222-2-2-22i−2i22i2i−2i−2i-2222-2-2-1-1-1-1-1-1111111-22i−2i22i2i−2i−2i111-1-1-1−i−i−i−i−i−iiiiiii000000000000
χ3622-2-2-2222-2-222-2-2-2−2i2i2−2i−2i2i2i-2222-2-2-1-1-1-1-1-1111111-2−2i2i2−2i−2i2i2i111-1-1-1iiiiii−i−i−i−i−i−i000000000000
χ3722-2-2-2-12-11122-2-212i−2i-1−i−iii-22-1-1112-1-12-1-1-2-2111112i−2i-1−i−iii-2112-1-12i2i−i−i−i−i−2i−2iiiii000000000000
χ3822-2-2-2-12-11122-2-212i−2i-1−i−iii-22-1-111-12-1-12-111-2-21112i−2i-1−i−iii1-21-12-1−i−i2i2i−i−iii−2i−2iii000000000000
χ3922-2-2-2-12-11122-2-212i−2i-1−i−iii-22-1-111-1-12-1-121111-2-212i−2i-1−i−iii11-2-1-12−i−i−i−i2i2iiiii−2i−2i000000000000
χ4022-2-2-2-12-11122-2-21−2i2i-1ii−i−i-22-1-1112-1-12-1-1-2-211111−2i2i-1ii−i−i-2112-1-1−2i−2iiiii2i2i−i−i−i−i000000000000
χ4122-2-2-2-12-11122-2-21−2i2i-1ii−i−i-22-1-111-12-1-12-111-2-2111−2i2i-1ii−i−i1-21-12-1ii−2i−2iii−i−i2i2i−i−i000000000000
χ4222-2-2-2-12-11122-2-21−2i2i-1ii−i−i-22-1-111-1-12-1-121111-2-21−2i2i-1ii−i−i11-2-1-12iiii−2i−2i−i−i−i−i2i2i000000000000
χ432-22i−2i020-22i−2i2-22i−2i00000000002-22i−2i222-2-2-22i−2i2i−2i2i−2i000000000000000000000000002−2−i2i22−2−i2i20000
χ442-22i−2i020-22i−2i2-22i−2i00000000002-22i−2i222-2-2-22i−2i2i−2i2i−2i00000000000000000000000000−22i2−i2−22i2−i20000
χ452-2−2i2i020-2−2i2i2-2−2i2i00000000002-2−2i2i222-2-2-2−2i2i−2i2i−2i2i000000000000000000000000002−2i2−i22−2i2−i20000
χ462-2−2i2i020-2−2i2i2-2−2i2i00000000002-2−2i2i222-2-2-2−2i2i−2i2i−2i2i00000000000000000000000000−22−i2i2−22−i2i20000
χ473333333333-1-1-1-133333333-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000000000001111-1-1-1-111-1-1
χ483333333333-1-1-1-133333333-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1000000000000000000-1-1-1-11111-1-111
χ493333333333-1-1-1-13-3-33-3-3-3-3-1-1-1-1-1-1000000000000-111-111110000000000000000001111-1-1-1-1-1-111
χ503333333333-1-1-1-13-3-33-3-3-3-3-1-1-1-1-1-1000000000000-111-11111000000000000000000-1-1-1-1111111-1-1
χ5133-3-3-3333-3-3-1-111-33i−3i33i3i−3i−3i1-1-1-1110000000000001−ii-1−i−iii00000000000000000011-1-1-1-111i−i−ii
χ5233-3-3-3333-3-3-1-111-33i−3i33i3i−3i−3i1-1-1-1110000000000001−ii-1−i−iii000000000000000000-1-11111-1-1−iii−i
χ5333-3-3-3333-3-3-1-111-3−3i3i3−3i−3i3i3i1-1-1-1110000000000001i−i-1ii−i−i00000000000000000011-1-1-1-111−iii−i
χ5433-3-3-3333-3-3-1-111-3−3i3i3−3i−3i3i3i1-1-1-1110000000000001i−i-1ii−i−i000000000000000000-1-11111-1-1i−i−ii
χ554-44i−4i040-44i−4i4-44i−4i00000000004-44i−4i-2-2-2222−2i2i−2i2i−2i2i00000000000000000000000000000000000000
χ564-44i−4i0-202−2i2i4-44i−4i0000000000-22−2i2i4-2-2-4224i−4i−2i2i−2i2i00000000000000000000000000000000000000
χ574-44i−4i0-202−2i2i4-44i−4i0000000000-22−2i2i-24-22-42−2i2i4i−4i−2i2i00000000000000000000000000000000000000
χ584-44i−4i0-202−2i2i4-44i−4i0000000000-22−2i2i-2-2422-4−2i2i−2i2i4i−4i00000000000000000000000000000000000000
χ594-4−4i4i040-4−4i4i4-4−4i4i00000000004-4−4i4i-2-2-22222i−2i2i−2i2i−2i00000000000000000000000000000000000000
χ604-4−4i4i0-2022i−2i4-4−4i4i0000000000-222i−2i4-2-2-422−4i4i2i−2i2i−2i00000000000000000000000000000000000000
χ614-4−4i4i0-2022i−2i4-4−4i4i0000000000-222i−2i-24-22-422i−2i−4i4i2i−2i00000000000000000000000000000000000000
χ624-4−4i4i0-2022i−2i4-4−4i4i0000000000-222i−2i-2-2422-42i−2i2i−2i−4i4i00000000000000000000000000000000000000
χ6366666-36-3-3-3-2-2-2-2-366-3-3-3-3-3-2-211110000000000001-2-211111000000000000000000000000000000
χ6466666-36-3-3-3-2-2-2-2-3-6-6-33333-2-211110000000000001221-1-1-1-1000000000000000000000000000000
χ656666-66-6666-2-2-2-2-600-6000022-2-2-2-200000000000020020000000000000000000000000000000000
χ666666-6-3-6-3-3-3-2-2-2-23003−3i33i3−3i33i3221111000000000000-100-1i3−i3i3−i3000000000000000000000000000000
χ676666-6-3-6-3-3-3-2-2-2-230033i3−3i33i3−3i3221111000000000000-100-1−i3i3−i3i3000000000000000000000000000000
χ6866-6-666-66-6-6-2-222600-60000-22-2-222000000000000-20020000000000000000000000000000000000
χ6966-6-66-3-6-333-2-222-300333−33−3333-2211-1-1000000000000100-1−333−3000000000000000000000000000000
χ7066-6-66-3-6-333-2-222-3003−333333−33-2211-1-1000000000000100-13−3−33000000000000000000000000000000
χ7166-6-6-6-36-333-2-22236i−6i-3−3i−3i3i3i2-211-1-1000000000000-1−2i2i1ii−i−i000000000000000000000000000000
χ7266-6-6-6-36-333-2-2223−6i6i-33i3i−3i−3i2-211-1-1000000000000-12i−2i1−i−iii000000000000000000000000000000
χ736-66i−6i060-66i−6i-22−2i2i0000000000-22−2i2i000000000000000000000000000000000000002−2−i2i2−22i2−i20000
χ746-66i−6i060-66i−6i-22−2i2i0000000000-22−2i2i00000000000000000000000000000000000000−22i2−i22−2−i2i20000
χ756-6−6i6i060-6−6i6i-222i−2i0000000000-222i−2i000000000000000000000000000000000000002−2i2−i2−22−i2i20000
χ766-6−6i6i060-6−6i6i-222i−2i0000000000-222i−2i00000000000000000000000000000000000000−22−i2i22−2i2−i20000
χ7712-1212i−12i0-606−6i6i-44−4i4i00000000002-22i−2i00000000000000000000000000000000000000000000000000
χ7812-12−12i12i0-6066i−6i-444i−4i00000000002-2−2i2i00000000000000000000000000000000000000000000000000

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