Finite Group Databasebeta

← Group #11867889

Character table — Group #11867889

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222224444444444448888888888181824242424242424242424242436363611222222244444444444488888888881818242424242424242424242424363636
order122334466366688121212121212612242424242424242488246688121224242424248222664466666688121212121212612242424242424242488246688121224242424248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ31111111111111111111111111111111-1-11-1111-1-1-111-1-1-1-1-11111111111111111111111111111111-1-11-1111-1-1-111-1-1-1-1-1
χ41111111111111111111111111111111-1-1-11-1-1-1111-1-111-1-1-11111111111111111111111111111111-1-1-11-1-1-1111-1-111-1-1-1
χ51111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11
χ61111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11
χ71111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-11111-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-11111-1
χ81111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-111-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-111-1
χ922222-2-22222222i−2i-2-2-2-2-2-22-22i2i2i2i−2i−2i−2i−2i0000000000000000022222-2-22222222i−2i-2-2-2-2-2-22-22i2i2i2i−2i−2i−2i−2i00000000000000000
χ1022222-2-2222222−2i2i-2-2-2-2-2-22-2−2i−2i−2i−2i2i2i2i2i0000000000000000022222-2-2222222−2i2i-2-2-2-2-2-22-2−2i−2i−2i−2i2i2i2i2i00000000000000000
χ112222-122-12-12-1-122-12-1-1-12-1-12-1-1-12-1-1-10020-1-12000-1-1000002222-122-12-12-1-122-12-1-1-12-1-12-1-1-12-1-1-10020-1-12000-1-100000
χ122222-122-12-12-1-122-12-1-1-12-1-12-1-1-12-1-1-100-2011-200011000002222-122-12-12-1-122-12-1-1-12-1-12-1-1-12-1-1-100-2011-20001100000
χ132222-122-12-12-1-1-2-2-12-1-1-12-1-1-2111-21110020-1-1-200011000002222-122-12-12-1-1-2-2-12-1-1-12-1-1-2111-21110020-1-1-20001100000
χ142222-122-12-12-1-1-2-2-12-1-1-12-1-1-2111-211100-20112000-1-1000002222-122-12-12-1-1-2-2-12-1-1-12-1-1-2111-211100-20112000-1-100000
χ152222-1-2-2-12-12-1-12i−2i1-2111-2-112i−i−i−i−2iiii0000−i3i300003−3000002222-1-2-2-12-12-1-12i−2i1-2111-2-112i−i−i−i−2iiii0000−i3i300003−300000
χ162222-1-2-2-12-12-1-12i−2i1-2111-2-112i−i−i−i−2iiii0000i3−i30000−33000002222-1-2-2-12-12-1-12i−2i1-2111-2-112i−i−i−i−2iiii0000i3−i30000−3300000
χ172222-1-2-2-12-12-1-1−2i2i1-2111-2-11−2iiii2i−i−i−i0000−i3i30000−33000002222-1-2-2-12-12-1-1−2i2i1-2111-2-11−2iiii2i−i−i−i0000−i3i30000−3300000
χ182222-1-2-2-12-12-1-1−2i2i1-2111-2-11−2iiii2i−i−i−i0000i3−i300003−3000002222-1-2-2-12-12-1-1−2i2i1-2111-2-11−2iiii2i−i−i−i0000i3−i300003−300000
χ19222-12222-1-1-12-1222-1-1-12-1-1-1-12-1-1-12-1-100020002-1-100-1-1000222-12222-1-1-12-1222-1-1-12-1-1-1-12-1-1-12-1-100020002-1-100-1-1000
χ20222-12222-1-1-12-1222-1-1-12-1-1-1-12-1-1-12-1-1000-2000-2110011000222-12222-1-1-12-1222-1-1-12-1-1-1-12-1-1-12-1-1000-2000-2110011000
χ21222-12222-1-1-12-1-2-22-1-1-12-1-1-11-2111-2110002000-2-1-10011000222-12222-1-1-12-1-2-22-1-1-12-1-1-11-2111-2110002000-2-1-10011000
χ22222-12222-1-1-12-1-2-22-1-1-12-1-1-11-2111-211000-200021100-1-1000222-12222-1-1-12-1-2-22-1-1-12-1-1-11-2111-211000-200021100-1-1000
χ23222-12-2-22-1-1-12-12i−2i-2111-21-11−i2i−i−ii−2iii00000000−i3i3003−3000222-12-2-22-1-1-12-12i−2i-2111-21-11−i2i−i−ii−2iii00000000−i3i3003−3000
χ24222-12-2-22-1-1-12-12i−2i-2111-21-11−i2i−i−ii−2iii00000000i3−i300−33000222-12-2-22-1-1-12-12i−2i-2111-21-11−i2i−i−ii−2iii00000000i3−i300−33000
χ25222-12-2-22-1-1-12-1−2i2i-2111-21-11i−2iii−i2i−i−i00000000−i3i300−33000222-12-2-22-1-1-12-1−2i2i-2111-21-11i−2iii−i2i−i−i00000000−i3i300−33000
χ26222-12-2-22-1-1-12-1−2i2i-2111-21-11i−2iii−i2i−i−i00000000i3−i3003−3000222-12-2-22-1-1-12-1−2i2i-2111-21-11i−2iii−i2i−i−i00000000i3−i3003−3000
χ2722-2222-2222-2-2200-2-2-2-222-2200000000000000000000002-2022-2222-2222-2-2200-2-2-2-222-2200000000000000000000002-20
χ2822-2222-2222-2-2200-2-2-2-222-220000000000000000000000-22022-2222-2222-2-2200-2-2-2-222-220000000000000000000000-220
χ2922-222-22222-2-22002222-2-2-2-2000000002200000000000000-222-222-22222-2-22002222-2-2-2-2000000002200000000000000-2
χ3022-222-22222-2-22002222-2-2-2-200000000-2-200000000000000222-222-22222-2-22002222-2-2-2-200000000-2-2000000000000002
χ31444-2-244-2-21-2-2144-2-211-2-211-2-211-2-21100000000000000000444-2-244-2-21-2-2144-2-211-2-211-2-211-2-21100000000000000000
χ32444-2-244-2-21-2-21-4-4-2-211-2-21122-1-122-1-100000000000000000444-2-244-2-21-2-21-4-4-2-211-2-21122-1-122-1-100000000000000000
χ33444-2-2-4-4-2-21-2-214i−4i22-1-1221-1−2i−2iii2i2i−i−i00000000000000000444-2-2-4-4-2-21-2-214i−4i22-1-1221-1−2i−2iii2i2i−i−i00000000000000000
χ34444-2-2-4-4-2-21-2-21−4i4i22-1-1221-12i2i−i−i−2i−2iii00000000000000000444-2-2-4-4-2-21-2-21−4i4i22-1-1221-12i2i−i−i−2i−2iii00000000000000000
χ3544-44-24-4-24-2-42-2002-422-242-2000000000000000000000000044-44-24-4-24-2-42-2002-422-242-20000000000000000000000000
χ3644-44-2-44-24-2-42-200-24-2-22-422000000000000000000000000044-44-2-44-24-2-42-200-24-2-22-4220000000000000000000000000
χ3744-4-244-44-2-22-4-200-42224-22-2000000000000000000000000044-4-244-44-2-22-4-200-42224-22-20000000000000000000000000
χ3844-4-24-444-2-22-4-2004-2-2-2-4222000000000000000000000000044-4-24-444-2-22-4-2004-2-2-2-42220000000000000000000000000
χ3944-4-2-24-4-2-212210022-1-1-2-2-11003i−3i003i−3i0000000000000000044-4-2-24-4-2-212210022-1-1-2-2-11003i−3i003i−3i00000000000000000
χ4044-4-2-24-4-2-212210022-1-1-2-2-1100−3i3i00−3i3i0000000000000000044-4-2-24-4-2-212210022-1-1-2-2-1100−3i3i00−3i3i00000000000000000
χ4144-4-2-2-44-2-2122100-2-21122-1-1003-300-330000000000000000044-4-2-2-44-2-2122100-2-21122-1-1003-300-3300000000000000000
χ4244-4-2-2-44-2-2122100-2-21122-1-100-33003-30000000000000000044-4-2-2-44-2-2122100-2-21122-1-100-33003-300000000000000000
χ434-404400-4-4400-4000000000000000000−2i22i20000000000000004-404400-4-4400-4000000000000000000−2i22i2000000000000000
χ444-404400-4-4400-40000000000000000002i2−2i20000000000000004-404400-4-4400-40000000000000000002i2−2i2000000000000000
χ458-808-4004-8-4004000000000000000000000000000000000008-808-4004-8-400400000000000000000000000000000000000
χ468-80-4800-84-4004000000000000000000000000000000000008-80-4800-84-400400000000000000000000000000000000000
χ478-80-4-40044200-200006i−6i000000000000000000000000000008-80-4-40044200-200006i−6i00000000000000000000000000000
χ488-80-4-40044200-20000−6i6i000000000000000000000000000008-80-4-40044200-20000−6i6i00000000000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ50111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1
χ511111111111111111111111111111111-1-11-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1111-1-111111
χ521111111111111111111111111111111-1-1-11-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-111-1-1111
χ531111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1
χ541111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111-1
χ551111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-11-1-11-11111-1-1-1-11
χ561111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-111-11-1-1-1-111-1-11
χ5722222-2-22222222i−2i-2-2-2-2-2-22-22i2i2i2i−2i−2i−2i−2i00000000000000000-2-2-2-2-222-2-2-2-2-2-2−2i2i222222-22−2i−2i−2i−2i2i2i2i2i00000000000000000
χ5822222-2-2222222−2i2i-2-2-2-2-2-22-2−2i−2i−2i−2i2i2i2i2i00000000000000000-2-2-2-2-222-2-2-2-2-2-22i−2i222222-222i2i2i2i−2i−2i−2i−2i00000000000000000
χ592222-122-12-12-1-122-12-1-1-12-1-12-1-1-12-1-1-10020-1-12000-1-100000-2-2-2-21-2-21-21-211-2-21-2111-211-2111-211100-2011-20001100000
χ602222-122-12-12-1-122-12-1-1-12-1-12-1-1-12-1-1-100-2011-20001100000-2-2-2-21-2-21-21-211-2-21-2111-211-2111-21110020-1-12000-1-100000
χ612222-122-12-12-1-1-2-2-12-1-1-12-1-1-2111-21110020-1-1-20001100000-2-2-2-21-2-21-21-211221-2111-2112-1-1-12-1-1-100-20112000-1-100000
χ622222-122-12-12-1-1-2-2-12-1-1-12-1-1-2111-211100-20112000-1-100000-2-2-2-21-2-21-21-211221-2111-2112-1-1-12-1-1-10020-1-1-20001100000
χ632222-1-2-2-12-12-1-12i−2i1-2111-2-112i−i−i−i−2iiii0000−i3i300003−300000-2-2-2-21221-21-211−2i2i-12-1-1-121-1−2iiii2i−i−i−i0000i3−i30000−3300000
χ642222-1-2-2-12-12-1-12i−2i1-2111-2-112i−i−i−i−2iiii0000i3−i30000−3300000-2-2-2-21221-21-211−2i2i-12-1-1-121-1−2iiii2i−i−i−i0000−i3i300003−300000
χ652222-1-2-2-12-12-1-1−2i2i1-2111-2-11−2iiii2i−i−i−i0000−i3i30000−3300000-2-2-2-21221-21-2112i−2i-12-1-1-121-12i−i−i−i−2iiii0000i3−i300003−300000
χ662222-1-2-2-12-12-1-1−2i2i1-2111-2-11−2iiii2i−i−i−i0000i3−i300003−300000-2-2-2-21221-21-2112i−2i-12-1-1-121-12i−i−i−i−2iiii0000−i3i30000−3300000
χ67222-12222-1-1-12-1222-1-1-12-1-1-1-12-1-1-12-1-100020002-1-100-1-1000-2-2-21-2-2-2-2111-21-2-2-2111-21111-2111-211000-2000-2110011000
χ68222-12222-1-1-12-1222-1-1-12-1-1-1-12-1-1-12-1-1000-2000-2110011000-2-2-21-2-2-2-2111-21-2-2-2111-21111-2111-21100020002-1-100-1-1000
χ69222-12222-1-1-12-1-2-22-1-1-12-1-1-11-2111-2110002000-2-1-10011000-2-2-21-2-2-2-2111-2122-2111-2111-12-1-1-12-1-1000-200021100-1-1000
χ70222-12222-1-1-12-1-2-22-1-1-12-1-1-11-2111-211000-200021100-1-1000-2-2-21-2-2-2-2111-2122-2111-2111-12-1-1-12-1-10002000-2-1-10011000
χ71222-12-2-22-1-1-12-12i−2i-2111-21-11−i2i−i−ii−2iii00000000−i3i3003−3000-2-2-21-222-2111-21−2i2i2-1-1-12-11-1i−2iii−i2i−i−i00000000i3−i300−33000
χ72222-12-2-22-1-1-12-12i−2i-2111-21-11−i2i−i−ii−2iii00000000i3−i300−33000-2-2-21-222-2111-21−2i2i2-1-1-12-11-1i−2iii−i2i−i−i00000000−i3i3003−3000
χ73222-12-2-22-1-1-12-1−2i2i-2111-21-11i−2iii−i2i−i−i00000000−i3i300−33000-2-2-21-222-2111-212i−2i2-1-1-12-11-1−i2i−i−ii−2iii00000000i3−i3003−3000
χ74222-12-2-22-1-1-12-1−2i2i-2111-21-11i−2iii−i2i−i−i00000000i3−i3003−3000-2-2-21-222-2111-212i−2i2-1-1-12-11-1−i2i−i−ii−2iii00000000−i3i300−33000
χ7522-2222-2222-2-2200-2-2-2-222-2200000000000000000000002-20-2-22-2-2-22-2-2-222-2002222-2-22-20000000000000000000000-220
χ7622-2222-2222-2-2200-2-2-2-222-220000000000000000000000-220-2-22-2-2-22-2-2-222-2002222-2-22-200000000000000000000002-20
χ7722-222-22222-2-22002222-2-2-2-2000000002200000000000000-2-2-22-2-22-2-2-2-222-200-2-2-2-2222200000000-2-2000000000000002
χ7822-222-22222-2-22002222-2-2-2-200000000-2-2000000000000002-2-22-2-22-2-2-2-222-200-2-2-2-22222000000002200000000000000-2
χ79444-2-244-2-21-2-2144-2-211-2-211-2-211-2-21100000000000000000-4-4-422-4-422-122-1-4-422-1-122-1-122-1-122-1-100000000000000000
χ80444-2-244-2-21-2-21-4-4-2-211-2-21122-1-122-1-100000000000000000-4-4-422-4-422-122-14422-1-122-1-1-2-211-2-21100000000000000000
χ81444-2-2-4-4-2-21-2-214i−4i22-1-1221-1−2i−2iii2i2i−i−i00000000000000000-4-4-4224422-122-1−4i4i-2-211-2-2-112i2i−i−i−2i−2iii00000000000000000
χ82444-2-2-4-4-2-21-2-21−4i4i22-1-1221-12i2i−i−i−2i−2iii00000000000000000-4-4-4224422-122-14i−4i-2-211-2-2-11−2i−2iii2i2i−i−i00000000000000000
χ8344-44-24-4-24-2-42-2002-422-242-20000000000000000000000000-4-44-42-442-424-2200-24-2-22-4-220000000000000000000000000
χ8444-44-2-44-24-2-42-200-24-2-22-4220000000000000000000000000-4-44-424-42-424-22002-422-24-2-20000000000000000000000000
χ8544-4-244-44-2-22-4-200-42224-22-20000000000000000000000000-4-442-4-44-422-242004-2-2-2-42-220000000000000000000000000
χ8644-4-24-444-2-22-4-2004-2-2-2-42220000000000000000000000000-4-442-44-4-422-24200-42224-2-2-20000000000000000000000000
χ8744-4-2-24-4-2-212210022-1-1-2-2-11003i−3i003i−3i00000000000000000-4-4422-4422-1-2-2-100-2-211221-100−3i3i00−3i3i00000000000000000
χ8844-4-2-24-4-2-212210022-1-1-2-2-1100−3i3i00−3i3i00000000000000000-4-4422-4422-1-2-2-100-2-211221-1003i−3i003i−3i00000000000000000
χ8944-4-2-2-44-2-2122100-2-21122-1-1003-300-3300000000000000000-4-44224-422-1-2-2-10022-1-1-2-21100-33003-300000000000000000
χ9044-4-2-2-44-2-2122100-2-21122-1-100-33003-300000000000000000-4-44224-422-1-2-2-10022-1-1-2-211003-300-3300000000000000000
χ914-404400-4-4400-4000000000000000000−2i22i2000000000000000-440-4-40044-40040000000000000000002i2−2i2000000000000000
χ924-404400-4-4400-40000000000000000002i2−2i2000000000000000-440-4-40044-4004000000000000000000−2i22i2000000000000000
χ938-808-4004-8-400400000000000000000000000000000000000-880-8400-48400-400000000000000000000000000000000000
χ948-80-4800-84-400400000000000000000000000000000000000-8804-8008-4400-400000000000000000000000000000000000
χ958-80-4-40044200-200006i−6i00000000000000000000000000000-8804400-4-4-20020000−6i6i00000000000000000000000000000
χ968-80-4-40044200-20000−6i6i00000000000000000000000000000-8804400-4-4-200200006i−6i00000000000000000000000000000

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