Finite Group Databasebeta

← Group #11921713

Character table — Group #11921713

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111111122222222666666668888888812121212121212121212121212121212161616161616161624242424242424242424242424243636363636367272
order122244443666121212122244444436661212121288881212121224242424242424243666121212122466666612121212121244888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1
χ31111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-11-111-1-11-1
χ61111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-11-1-1111111-1-1-1-11-1-1-111-11
χ71111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-11111-11-1-111-11
χ81111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1-1111111-1111-1-11-1
χ9222222222222222222222222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000-1-1-1-100-1-1-1-122000000
χ102222222222222222-2-2-2-22222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100001111001111-2-2000000
χ1122222222-1-1-1-1-1-1-1-100002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-10000-1-1000000000000
χ1222222222-1-1-1-1-1-1-1-10000222222222222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-2-211000011000000000000
χ132222-2-2-2-22222-2-2-2-222-2-2-2-222-1-1-1-111110000-2-22200000000-1-1-1-111110000-1-1-1-10011112-2000000
χ142222-2-2-2-22222-2-2-2-2-2-222-2-222-1-1-1-111110000-2-22200000000-1-1-1-111110000111100-1-1-1-1-22000000
χ152222-2-2-2-2-1-1-1-111110000-2-2222222-2-2-2-222-2-211-1-1-1-1-1-11111-1-1-1-111112-2-1-1000011000000000000
χ162222-2-2-2-2-1-1-1-111110000-2-2222222-2-2-2-2-2-22211-1-11111-1-1-1-1-1-1-1-11111-22110000-1-1000000000000
χ172-22-22i2i−2i−2i22-2-22i2i−2i−2i00002i−2i2-222-2-22i2i−2i−2i00002i−2i2-20000000022-2-22i2i−2i−2i0000000000000000000000
χ182-22-22i2i−2i−2i22-2-22i2i−2i−2i00002i−2i2-2-1-111−i−iii00002i−2i2-200000000-1-111−i−iii0000−i3−i3i3i30033−3−300000000
χ192-22-22i2i−2i−2i22-2-22i2i−2i−2i00002i−2i2-2-1-111−i−iii00002i−2i2-200000000-1-111−i−iii0000i3i3−i3−i300−3−33300000000
χ202-22-22i2i−2i−2i-1-111−i−iii00002i−2i2-222-2-22i2i−2i−2i0000−ii-11−i3−i3i3i333−3−3-1-111−i−iii00−i3i300003−3000000000000
χ212-22-22i2i−2i−2i-1-111−i−iii00002i−2i2-222-2-22i2i−2i−2i0000−ii-11i3i3−i3−i3−3−333-1-111−i−iii00i3−i30000−33000000000000
χ222-22-2−2i−2i2i2i22-2-2−2i−2i2i2i0000−2i2i2-222-2-2−2i−2i2i2i0000−2i2i2-20000000022-2-2−2i−2i2i2i0000000000000000000000
χ232-22-2−2i−2i2i2i22-2-2−2i−2i2i2i0000−2i2i2-2-1-111ii−i−i0000−2i2i2-200000000-1-111ii−i−i0000−i3−i3i3i300−3−33300000000
χ242-22-2−2i−2i2i2i22-2-2−2i−2i2i2i0000−2i2i2-2-1-111ii−i−i0000−2i2i2-200000000-1-111ii−i−i0000i3i3−i3−i30033−3−300000000
χ252-22-2−2i−2i2i2i-1-111ii−i−i0000−2i2i2-222-2-2−2i−2i2i2i0000i−i-11−i3−i3i3i3−3−333-1-111ii−i−i00−i3i30000−33000000000000
χ262-22-2−2i−2i2i2i-1-111ii−i−i0000−2i2i2-222-2-2−2i−2i2i2i0000i−i-11i3i3−i3−i333−3−3-1-111ii−i−i00i3−i300003−3000000000000
χ272-2-222i−2i2i−2i2-22-22i−2i2i−2i2-22i−2i0000-11-11i−ii−i−i2i22−20000−i2i2−i2i22−22−2-11-11i−ii−i00001-11-100i−ii−i00−i2i22−200
χ282-2-222i−2i2i−2i2-22-22i−2i2i−2i2-22i−2i0000-11-11i−ii−ii2−i2−220000i2−i2i2−i2−22−22-11-11i−ii−i00001-11-100i−ii−i00i2−i2−2200
χ292-2-222i−2i2i−2i2-22-22i−2i2i−2i-22−2i2i0000-11-11i−ii−i−i2i22−20000−i2i2−i2i22−22−2-11-11i−ii−i0000-11-1100−ii−ii00i2−i2−2200
χ302-2-222i−2i2i−2i2-22-22i−2i2i−2i-22−2i2i0000-11-11i−ii−ii2−i2−220000i2−i2i2−i2−22−22-11-11i−ii−i0000-11-1100−ii−ii00−i2i22−200
χ312-2-22−2i2i−2i2i2-22-2−2i2i−2i2i2-2−2i2i0000-11-11−ii−ii−i2i2−220000−i2i2−i2i2−22−22-11-11−ii−ii00001-11-100−ii−ii00−i2i2−2200
χ322-2-22−2i2i−2i2i2-22-2−2i2i−2i2i2-2−2i2i0000-11-11−ii−iii2−i22−20000i2−i2i2−i22−22−2-11-11−ii−ii00001-11-100−ii−ii00i2−i22−200
χ332-2-22−2i2i−2i2i2-22-2−2i2i−2i2i-222i−2i0000-11-11−ii−ii−i2i2−220000−i2i2−i2i2−22−22-11-11−ii−ii0000-11-1100i−ii−i00i2−i22−200
χ342-2-22−2i2i−2i2i2-22-2−2i2i−2i2i-222i−2i0000-11-11−ii−iii2−i22−20000i2−i2i2−i22−22−2-11-11−ii−ii0000-11-1100i−ii−i00−i2i2−2200
χ3533333333333333333333-1-1-1-1000000001111-1-1-1-11111111100000000-1-1-1-10000-1-10000-1-11111-1-1
χ3633333333333333333333-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011110000110000-1-1-1-1-1-111
χ373333333333333333-3-3-3-3-1-1-1-1000000001111-1-1-1-11111111100000000-1-1-1-10000-1-1000011-1-1-1-111
χ383333333333333333-3-3-3-3-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011110000110000111111-1-1
χ393333-3-3-3-33333-3-3-3-333-3-311-1-10000000011-1-111-1-11111-1-1-1-100000000-11-1-10000110000-1111-1-1-11
χ403333-3-3-3-33333-3-3-3-333-3-311-1-100000000-1-11111-1-1-1-1-1-11111000000001-1110000-1-10000-11-1-1111-1
χ413333-3-3-3-33333-3-3-3-3-3-33311-1-10000000011-1-111-1-11111-1-1-1-100000000-11-1-100001100001-1-1-1111-1
χ423333-3-3-3-33333-3-3-3-3-3-33311-1-100000000-1-11111-1-1-1-1-1-11111000000001-1110000-1-100001-111-1-1-11
χ4344444444-2-2-2-2-2-2-2-200004444-2-2-2-2-2-2-2-20000-2-2-2-200000000111111110000000000000000000000
χ444444-4-4-4-4-2-2-2-222220000-4-444-2-2-2-22222000022-2-2000000001111-1-1-1-10000000000000000000000
χ4544-4-44-4-444-4-444-4-44000000001-1-11-111-100000000000000001-1-11-111-10000−i3i3i3−i300−i3i3i3−i300000000
χ4644-4-44-4-444-4-444-4-44000000001-1-11-111-100000000000000001-1-11-111-10000i3−i3−i3i300i3−i3−i3i300000000
χ4744-4-44-4-444-4-444-4-4400000000-222-22-2-220000000000000000-222-22-2-220000000000000000000000
χ4844-4-44-4-44-222-2-222-200000000-222-22-2-22000000006−6−666−6−661-1-11-111-10000000000000000000000
χ4944-4-44-4-44-222-2-222-200000000-222-22-2-2200000000−666−6−666−61-1-11-111-10000000000000000000000
χ5044-4-4-444-44-4-44-444-4000000001-1-111-1-1100000000000000001-1-111-1-110000−i3i3i3−i300i3−i3−i3i300000000
χ5144-4-4-444-44-4-44-444-4000000001-1-111-1-1100000000000000001-1-111-1-110000i3−i3−i3i300−i3i3i3−i300000000
χ5244-4-4-444-44-4-44-444-400000000-222-2-222-20000000000000000-222-2-222-20000000000000000000000
χ5344-4-4-444-4-222-22-2-2200000000-222-2-222-2000000006−6−66−666−61-1-111-1-110000000000000000000000
χ5444-4-4-444-4-222-22-2-2200000000-222-2-222-200000000−666−66−6−661-1-111-1-110000000000000000000000
χ554-44-44i4i−4i−4i-2-222−2i−2i2i2i00004i−4i4-4-2-222−2i−2i2i2i0000−2i2i-220000000011-1-1ii−i−i0000000000000000000000
χ564-44-4−4i−4i4i4i-2-2222i2i−2i−2i0000−4i4i4-4-2-2222i2i−2i−2i00002i−2i-220000000011-1-1−i−iii0000000000000000000000
χ574-4-444i−4i4i−4i4-44-44i−4i4i−4i4-44i−4i00001-11-1−ii−ii00000000000000001-11-1−ii−ii0000-11-1100−ii−ii00000000
χ584-4-444i−4i4i−4i4-44-44i−4i4i−4i-44−4i4i00001-11-1−ii−ii00000000000000001-11-1−ii−ii00001-11-100i−ii−i00000000
χ594-4-444i−4i4i−4i-22-22−2i2i−2i2i00000000-22-222i−2i2i−2i−2i22i222−220000i2−i2i2−i2−22−221-11-1−ii−ii0000000000000000000000
χ604-4-444i−4i4i−4i-22-22−2i2i−2i2i00000000-22-222i−2i2i−2i2i2−2i2−22220000−i2i2−i2i22−22−21-11-1−ii−ii0000000000000000000000
χ614-4-44−4i4i−4i4i4-44-4−4i4i−4i4i4-4−4i4i00001-11-1i−ii−i00000000000000001-11-1i−ii−i0000-11-1100i−ii−i00000000
χ624-4-44−4i4i−4i4i4-44-4−4i4i−4i4i-444i−4i00001-11-1i−ii−i00000000000000001-11-1i−ii−i00001-11-100−ii−ii00000000
χ634-4-44−4i4i−4i4i-22-222i−2i2i−2i00000000-22-22−2i2i−2i2i−2i22i2−22220000i2−i2i2−i22−22−21-11-1i−ii−i0000000000000000000000
χ644-4-44−4i4i−4i4i-22-222i−2i2i−2i00000000-22-22−2i2i−2i2i2i2−2i222−220000−i2i2−i2i2−22−221-11-1i−ii−i0000000000000000000000
χ6566666666-3-3-3-3-3-3-3-30000-2-2-2-20000000022221111-1-1-1-1-1-1-1-100000000-2-211000011000000000000
χ6666666666-3-3-3-3-3-3-3-30000-2-2-2-200000000-2-2-2-21111111111110000000022-1-10000-1-1000000000000
χ676666-6-6-6-6-3-3-3-33333000022-2-20000000022-2-2-1-111-1-1-1-1111100000000-22110000-1-1000000000000
χ686666-6-6-6-6-3-3-3-33333000022-2-200000000-2-222-1-1111111-1-1-1-1000000002-2-1-1000011000000000000
χ696-66-66i6i−6i−6i66-6-66i6i−6i−6i0000−2i2i-22000000000000−2i2i-2200000000000000000000000000000000000000
χ706-66-66i6i−6i−6i-3-333−3i−3i3i3i0000−2i2i-22000000000000i−i1-1−i3−i3i3i333−3−30000000000i3−i30000−33000000000000
χ716-66-66i6i−6i−6i-3-333−3i−3i3i3i0000−2i2i-22000000000000i−i1-1i3i3−i3−i3−3−3330000000000−i3i300003−3000000000000
χ726-66-6−6i−6i6i6i66-6-6−6i−6i6i6i00002i−2i-220000000000002i−2i-2200000000000000000000000000000000000000
χ736-66-6−6i−6i6i6i-3-3333i3i−3i−3i00002i−2i-22000000000000−ii1-1−i3−i3i3i3−3−3330000000000i3−i300003−3000000000000
χ746-66-6−6i−6i6i6i-3-3333i3i−3i−3i00002i−2i-22000000000000−ii1-1i3i3−i3−i333−3−30000000000−i3i30000−33000000000000
χ7588-8-88-8-88-444-4-444-4000000002-2-22-222-20000000000000000-111-11-1-110000000000000000000000
χ7688-8-8-888-8-444-44-4-44000000002-2-222-2-220000000000000000-111-1-111-10000000000000000000000
χ778-8-888i−8i8i−8i-44-44−4i4i−4i4i000000002-22-2−2i2i−2i2i0000000000000000-11-11i−ii−i0000000000000000000000
χ788-8-88−8i8i−8i8i-44-444i−4i4i−4i000000002-22-22i−2i2i−2i0000000000000000-11-11−ii−ii0000000000000000000000

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