Finite Group Databasebeta

← Group #72275067

Character table — Group #72275067

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222244668888812121212121224242424242432323232323232323232323232323232323232323232323248487272727272727272144144144144
order1223666222226666224466446612123336666666666666666666661212224444444488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111-1-111-1-1-1-1-1111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ41111111-1-111-1-1-1-1-1111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ511-11-1-1111-11-111-1-1-11-11-111-11-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11-111-1-11-11-11-11-1
χ611-11-1-1111-11-111-1-1-11-11-111-11-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-111-11-11-11-11
χ711-11-1-11-1-1-111-1-111-11-11-11-111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-111-1-11
χ811-11-1-11-1-1-111-1-111-11-11-11-111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-111-1-111-1-111-1
χ92222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000000000
χ102222222-2-222-2-2-2-2-2222222-2-22222-1-1-1-1-1-1-1-1-1-1-1-1111111111111-2-2000000000000
χ11222-1-1-1-122222-1-1-1-12222-1-122-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1000000000000
χ12222-1-1-1-122222-1-1-1-12222-1-122-1-1-1-1-12-1-12-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000
χ13222-1-1-1-122222-1-1-1-12222-1-122-1-1-1-1-1-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122-1-1000000000000
χ14222-1-1-1-1-2-222-211112222-1-1-2-2-1-1-1-12-1-12-1-122-1-1-1-1-2-21111-2-2111111000000000000
χ15222-1-1-1-1-2-222-211112222-1-1-2-2-1-1-1-1-12-1-12-1-1-122-1-111-2-21111-2-21111000000000000
χ16222-1-1-1-1-2-222-211112222-1-1-2-2-1-1-1-1-1-12-1-12-1-1-1-1221111-2-21111-2-211000000000000
χ1722-22-2-2222-22-222-2-2-22-22-222-22-22-2-1-1-1-1-1-1111111-1-1-1-1-1-11111112-2000000000000
χ1822-22-2-22-2-2-222-2-222-22-22-22-222-22-2-1-1-1-1-1-1111111111111-1-1-1-1-1-1-22000000000000
χ1922-2-111-122-22-2-1-111-22-221-12-2-11-112-1-12-1-1-2-2111122-1-1-1-1-2-21111-11000000000000
χ2022-2-111-122-22-2-1-111-22-221-12-2-11-11-12-1-12-111-2-211-1-122-1-111-2-211-11000000000000
χ2122-2-111-122-22-2-1-111-22-221-12-2-11-11-1-12-1-121111-2-2-1-1-1-1221111-2-2-11000000000000
χ2222-2-111-1-2-2-22211-1-1-22-221-1-22-11-112-1-12-1-1-2-21111-2-2111122-1-1-1-11-1000000000000
χ2322-2-111-1-2-2-22211-1-1-22-221-1-22-11-11-12-1-12-111-2-21111-2-211-1-122-1-11-1000000000000
χ2422-2-111-1-2-2-22211-1-1-22-221-1-22-11-11-1-12-1-121111-2-21111-2-2-1-1-1-1221-1000000000000
χ253333333333333333-1-1-1-133-1-1-1-1-1-1000000000000000000000000-1-111111111-1-1-1-1
χ263333333333333333-1-1-1-133-1-1-1-1-1-1000000000000000000000000-1-1-1-1-1-1-1-1-1-11111
χ273333333-3-333-3-3-3-3-3-1-1-1-13311-1-1-1-1000000000000000000000000111-11-111-1-1-1-111
χ283333333-3-333-3-3-3-3-3-1-1-1-13311-1-1-1-100000000000000000000000011-11-11-1-11111-1-1
χ2933-33-3-3333-33-333-3-31-11-1-33-11-11-11000000000000000000000000-1111-1-11-11-1-11-11
χ3033-33-3-3333-33-333-3-31-11-1-33-11-11-11000000000000000000000000-11-1-111-11-111-11-1
χ3133-33-3-33-3-3-333-3-3331-11-1-331-1-11-110000000000000000000000001-11-1-111-1-11-111-1
χ3233-33-3-33-3-3-333-3-3331-11-1-331-1-11-110000000000000000000000001-1-111-1-111-11-1-11
χ33666666600-2-20000022-2-2-2-20022-2-2000000000000000000000000002020-2-2000000
χ34666666600-2-20000022-2-2-2-20022-2-200000000000000000000000000-20-2022000000
χ35666666600-2-200000-2-222-2-200-2-22200000000000000000000000000020200-2-20000
χ36666666600-2-200000-2-222-2-200-2-222000000000000000000000000000-20-200220000
χ37666-3-3-3-366666-3-3-3-3-2-2-2-2-3-3-2-2111100000000000000000000000011000000000000
χ38666-3-3-3-3-6-666-63333-2-2-2-2-3-3221111000000000000000000000000-1-1000000000000
χ3966-66-6-66002-2000002-2-222-200-222-200000000000000000000000000020-200-220000
χ4066-66-6-66002-2000002-2-222-200-222-2000000000000000000000000000-202002-20000
χ4166-66-6-66002-200000-222-22-2002-2-220000000000000000000000000020-20-22000000
χ4266-66-6-66002-200000-222-22-2002-2-2200000000000000000000000000-20202-2000000
χ4366-6-333-366-66-6-3-3332-22-23-3-221-11-10000000000000000000000001-1000000000000
χ4466-6-333-3-6-6-66633-3-32-22-23-32-21-11-1000000000000000000000000-11000000000000
χ458-80800-84-40004-400000000000000222-2-2-20000002-22-22-200000000000000000000
χ468-80800-84-40004-400000000000000-1-1-1111i3−i3i3−i3i3−i3-11-11-11i3−i3i3−i3i3−i300000000000000
χ478-80800-84-40004-400000000000000-1-1-1111−i3i3−i3i3−i3i3-11-11-11−i3i3−i3i3−i3i300000000000000
χ488-80800-8-44000-4400000000000000222-2-2-2000000-22-22-2200000000000000000000
χ498-80800-8-44000-4400000000000000-1-1-1111i3−i3i3−i3i3−i31-11-11-1−i3i3−i3i3−i3i300000000000000
χ508-80800-8-44000-4400000000000000-1-1-1111−i3i3−i3i3−i3i31-11-11-1i3−i3i3−i3i3−i300000000000000
χ518-80-44i3−4i344-4000-222i3−2i30000000000002-1-1-21100i3−i3−i3i32-2-11-1100i3−i3−i3i300000000000000
χ528-80-44i3−4i344-4000-222i3−2i3000000000000-12-11-21−i3i300i3−i3-112-2-11−i3i300i3−i300000000000000
χ538-80-44i3−4i344-4000-222i3−2i3000000000000-1-1211-2i3−i3−i3i300-11-112-2i3−i3−i3i30000000000000000
χ548-80-44i3−4i34-440002-2−2i32i30000000000002-1-1-21100i3−i3−i3i3-221-11-100−i3i3i3−i300000000000000
χ558-80-44i3−4i34-440002-2−2i32i3000000000000-12-11-21−i3i300i3−i31-1-221-1i3−i300−i3i300000000000000
χ568-80-44i3−4i34-440002-2−2i32i3000000000000-1-1211-2i3−i3−i3i3001-11-1-22−i3i3i3−i30000000000000000
χ578-80-4−4i34i344-4000-22−2i32i30000000000002-1-1-21100−i3i3i3−i32-2-11-1100−i3i3i3−i300000000000000
χ588-80-4−4i34i344-4000-22−2i32i3000000000000-12-11-21i3−i300−i3i3-112-2-11i3−i300−i3i300000000000000
χ598-80-4−4i34i344-4000-22−2i32i3000000000000-1-1211-2−i3i3i3−i300-11-112-2−i3i3i3−i30000000000000000
χ608-80-4−4i34i34-440002-22i3−2i30000000000002-1-1-21100−i3i3i3−i3-221-11-100i3−i3−i3i300000000000000
χ618-80-4−4i34i34-440002-22i3−2i3000000000000-12-11-21i3−i300−i3i31-1-221-1−i3i300i3−i300000000000000
χ628-80-4−4i34i34-440002-22i3−2i3000000000000-1-1211-2−i3i3i3−i3001-11-1-22i3−i3−i3i30000000000000000
χ63121212-6-6-6-600-4-40000044-4-42200-2-22200000000000000000000000000000000000000
χ64121212-6-6-6-600-4-400000-4-444220022-2-200000000000000000000000000000000000000
χ651212-12-666-6004-4000004-4-44-22002-2-2200000000000000000000000000000000000000
χ661212-12-666-6004-400000-444-4-2200-222-200000000000000000000000000000000000000

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