Finite Group Databasebeta

← Group #11774929

Character table — Group #11774929

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222224444444888888121212121212121222224444444488888881616161616162424242424242424333366666666121212121212122424242424243636363636363636
order122222344666466121212122466121244448888366666312126661266121212126126612121212121224242424222222644666466121212122466121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111
χ51111-1-11-1-11111-1-111-1-11-111-1-1ii−i−iii−i−i1111-1-11-1-11111-1-111-1-11-111-1-1ii−i−iii−i−i1111-1-11-1-11111-1-111-1-11-111-1-1ii−i−iii−i−i
χ61111-1-11-1-11111-1-111-1-11-111-1-1−i−iii−i−iii1111-1-11-1-11111-1-111-1-11-111-1-1−i−iii−i−iii1111-1-11-1-11111-1-111-1-11-111-1-1−i−iii−i−iii
χ71111-1-11-1-11111-1-111-1-1-11-1-111ii−i−i−i−iii1111-1-11-1-11111-1-111-1-1-11-1-111ii−i−i−i−iii1111-1-11-1-11111-1-111-1-1-11-1-111ii−i−i−i−iii
χ81111-1-11-1-11111-1-111-1-1-11-1-111−i−iiiii−i−i1111-1-11-1-11111-1-111-1-1-11-1-111−i−iiiii−i−i1111-1-11-1-11111-1-111-1-1-11-1-111−i−iiiii−i−i
χ92222222-2-2222-222-2-2-2-2000000000000002222222-2-2222-222-2-2-2-2000000000000002222222-2-2222-222-2-2-2-200000000000000
χ10222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100000000222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100000000222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100000000
χ11222222-122-1-1-12-1-1-1-1-1-1-2-2111100000000222222-122-1-1-12-1-1-1-1-1-1-2-2111100000000222222-122-1-1-12-1-1-1-1-1-1-2-2111100000000
χ12222222-1-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000222222-1-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000222222-1-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000
χ13222222-1-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000222222-1-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000222222-1-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000
χ142222-2-2222222-2-2-2-2-222000000000000002222-2-2222222-2-2-2-2-222000000000000002222-2-2222222-2-2-2-2-22200000000000000
χ152222-2-2-122-1-1-1-21111-1-100−i3i3i3−i3000000002222-2-2-122-1-1-1-21111-1-100−i3i3i3−i3000000002222-2-2-122-1-1-1-21111-1-100−i3i3i3−i300000000
χ162222-2-2-122-1-1-1-21111-1-100i3−i3−i3i3000000002222-2-2-122-1-1-1-21111-1-100i3−i3−i3i3000000002222-2-2-122-1-1-1-21111-1-100i3−i3−i3i300000000
χ172222-2-2-1-2-2-1-1-1211-1-1112-2-1-111000000002222-2-2-1-2-2-1-1-1211-1-1112-2-1-111000000002222-2-2-1-2-2-1-1-1211-1-1112-2-1-11100000000
χ182222-2-2-1-2-2-1-1-1211-1-111-2211-1-1000000002222-2-2-1-2-2-1-1-1211-1-111-2211-1-1000000002222-2-2-1-2-2-1-1-1211-1-111-2211-1-100000000
χ1922-2-20022i−2i2-2-2000002i−2i0000001+i−1−i1−i−1+i000022-2-20022i−2i2-2-2000002i−2i0000001+i−1−i1−i−1+i000022-2-20022i−2i2-2-2000002i−2i0000001+i−1−i1−i−1+i0000
χ2022-2-20022i−2i2-2-2000002i−2i000000−1−i1+i−1+i1−i000022-2-20022i−2i2-2-2000002i−2i000000−1−i1+i−1+i1−i000022-2-20022i−2i2-2-2000002i−2i000000−1−i1+i−1+i1−i0000
χ2122-2-2002−2i2i2-2-200000−2i2i0000001−i−1+i1+i−1−i000022-2-2002−2i2i2-2-200000−2i2i0000001−i−1+i1+i−1−i000022-2-2002−2i2i2-2-200000−2i2i0000001−i−1+i1+i−1−i0000
χ2222-2-2002−2i2i2-2-200000−2i2i000000−1+i1−i−1−i1+i000022-2-2002−2i2i2-2-200000−2i2i000000−1+i1−i−1−i1+i000022-2-2002−2i2i2-2-200000−2i2i000000−1+i1−i−1−i1+i0000
χ232-22-22-2200-22-202-200000000000000−i2i2−i2i22-22-22-2200-22-202-200000000000000−i2i2−i2i22-22-22-2200-22-202-200000000000000−i2i2−i2i2
χ242-22-22-2200-22-202-200000000000000i2−i2i2−i22-22-22-2200-22-202-200000000000000i2−i2i2−i22-22-22-2200-22-202-200000000000000i2−i2i2−i2
χ252-22-2-22200-22-20-22000000000000002−2−222-22-2-22200-22-20-22000000000000002−2−222-22-2-22200-22-20-22000000000000002−2−22
χ262-22-2-22200-22-20-2200000000000000−222−22-22-2-22200-22-20-2200000000000000−222−22-22-2-22200-22-20-2200000000000000−222−2
χ2744-4-400-24i−4i-22200000−2i2i0000000000000044-4-400-24i−4i-22200000−2i2i0000000000000044-4-400-24i−4i-22200000−2i2i00000000000000
χ2844-4-400-2−4i4i-222000002i−2i0000000000000044-4-400-2−4i4i-222000002i−2i0000000000000044-4-400-2−4i4i-222000002i−2i00000000000000
χ294-44-44-4-2002-220-220000000000000000004-44-44-4-2002-220-220000000000000000004-44-44-4-2002-220-22000000000000000000
χ304-44-4-44-2002-2202-20000000000000000004-44-4-44-2002-2202-20000000000000000004-44-4-44-2002-2202-2000000000000000000
χ314-4-4400400-4-440000000000000000000004-4-4400400-4-440000000000000000000004-4-4400400-4-44000000000000000000000
χ324-4-4400-20022-2000−2i32i300000000000000004-4-4400-20022-2000−2i32i300000000000000004-4-4400-20022-2000−2i32i30000000000000000
χ334-4-4400-20022-20002i3−2i300000000000000004-4-4400-20022-20002i3−2i300000000000000004-4-4400-20022-20002i3−2i30000000000000000
χ34111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ351111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ361111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ371111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ381111-1-11-1-11111-1-111-1-11-111-1-1ii−i−iii−i−i1111-1-11-1-11111-1-111-1-11-111-1-1ii−i−iii−i−i-1-1-1-111-111-1-1-1-111-1-111-11-1-111−i−iii−i−iii
χ391111-1-11-1-11111-1-111-1-11-111-1-1−i−iii−i−iii1111-1-11-1-11111-1-111-1-11-111-1-1−i−iii−i−iii-1-1-1-111-111-1-1-1-111-1-111-11-1-111ii−i−iii−i−i
χ401111-1-11-1-11111-1-111-1-1-11-1-111ii−i−i−i−iii1111-1-11-1-11111-1-111-1-1-11-1-111ii−i−i−i−iii-1-1-1-111-111-1-1-1-111-1-1111-111-1-1−i−iiiii−i−i
χ411111-1-11-1-11111-1-111-1-1-11-1-111−i−iiiii−i−i1111-1-11-1-11111-1-111-1-1-11-1-111−i−iiiii−i−i-1-1-1-111-111-1-1-1-111-1-1111-111-1-1ii−i−i−i−iii
χ422222222-2-2222-222-2-2-2-2000000000000002222222-2-2222-222-2-2-2-200000000000000-2-2-2-2-2-2-222-2-2-22-2-2222200000000000000
χ43222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100000000222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-2-21-2-2111-2111111-2-2111100000000
χ44222222-122-1-1-12-1-1-1-1-1-1-2-2111100000000222222-122-1-1-12-1-1-1-1-1-1-2-2111100000000-2-2-2-2-2-21-2-2111-211111122-1-1-1-100000000
χ45222222-1-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000222222-1-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000-2-2-2-2-2-2122111211-1-1-1-100i3−i3i3−i300000000
χ46222222-1-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000222222-1-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000-2-2-2-2-2-2122111211-1-1-1-100−i3i3−i3i300000000
χ472222-2-2222222-2-2-2-2-222000000000000002222-2-2222222-2-2-2-2-22200000000000000-2-2-2-222-2-2-2-2-2-222222-2-200000000000000
χ482222-2-2-122-1-1-1-21111-1-100−i3i3i3−i3000000002222-2-2-122-1-1-1-21111-1-100−i3i3i3−i300000000-2-2-2-2221-2-21112-1-1-1-11100i3−i3−i3i300000000
χ492222-2-2-122-1-1-1-21111-1-100i3−i3−i3i3000000002222-2-2-122-1-1-1-21111-1-100i3−i3−i3i300000000-2-2-2-2221-2-21112-1-1-1-11100−i3i3i3−i300000000
χ502222-2-2-1-2-2-1-1-1211-1-1112-2-1-111000000002222-2-2-1-2-2-1-1-1211-1-1112-2-1-11100000000-2-2-2-222122111-2-1-111-1-1-2211-1-100000000
χ512222-2-2-1-2-2-1-1-1211-1-111-2211-1-1000000002222-2-2-1-2-2-1-1-1211-1-111-2211-1-100000000-2-2-2-222122111-2-1-111-1-12-2-1-11100000000
χ5222-2-20022i−2i2-2-2000002i−2i0000001+i−1−i1−i−1+i000022-2-20022i−2i2-2-2000002i−2i0000001+i−1−i1−i−1+i0000-2-22200-2−2i2i-22200000−2i2i000000−1−i1+i−1+i1−i0000
χ5322-2-20022i−2i2-2-2000002i−2i000000−1−i1+i−1+i1−i000022-2-20022i−2i2-2-2000002i−2i000000−1−i1+i−1+i1−i0000-2-22200-2−2i2i-22200000−2i2i0000001+i−1−i1−i−1+i0000
χ5422-2-2002−2i2i2-2-200000−2i2i0000001−i−1+i1+i−1−i000022-2-2002−2i2i2-2-200000−2i2i0000001−i−1+i1+i−1−i0000-2-22200-22i−2i-222000002i−2i000000−1+i1−i−1−i1+i0000
χ5522-2-2002−2i2i2-2-200000−2i2i000000−1+i1−i−1−i1+i000022-2-2002−2i2i2-2-200000−2i2i000000−1+i1−i−1−i1+i0000-2-22200-22i−2i-222000002i−2i0000001−i−1+i1+i−1−i0000
χ562-22-22-2200-22-202-200000000000000−i2i2−i2i22-22-22-2200-22-202-200000000000000−i2i2−i2i2-22-22-22-2002-220-2200000000000000i2−i2i2−i2
χ572-22-22-2200-22-202-200000000000000i2−i2i2−i22-22-22-2200-22-202-200000000000000i2−i2i2−i2-22-22-22-2002-220-2200000000000000−i2i2−i2i2
χ582-22-2-22200-22-20-22000000000000002−2−222-22-2-22200-22-20-22000000000000002−2−22-22-222-2-2002-2202-200000000000000−222−2
χ592-22-2-22200-22-20-2200000000000000−222−22-22-2-22200-22-20-2200000000000000−222−2-22-222-2-2002-2202-2000000000000002−2−22
χ6044-4-400-24i−4i-22200000−2i2i0000000000000044-4-400-24i−4i-22200000−2i2i00000000000000-4-444002−4i4i2-2-2000002i−2i00000000000000
χ6144-4-400-2−4i4i-222000002i−2i0000000000000044-4-400-2−4i4i-222000002i−2i00000000000000-4-4440024i−4i2-2-200000−2i2i00000000000000
χ624-44-44-4-2002-220-220000000000000000004-44-44-4-2002-220-22000000000000000000-44-44-44200-22-202-2000000000000000000
χ634-44-4-44-2002-2202-20000000000000000004-44-4-44-2002-2202-2000000000000000000-44-444-4200-22-20-22000000000000000000
χ644-4-4400400-4-440000000000000000000004-4-4400400-4-44000000000000000000000-444-400-40044-4000000000000000000000
χ654-4-4400-20022-2000−2i32i300000000000000004-4-4400-20022-2000−2i32i30000000000000000-444-400200-2-220002i3−2i30000000000000000
χ664-4-4400-20022-20002i3−2i300000000000000004-4-4400-20022-20002i3−2i30000000000000000-444-400200-2-22000−2i32i30000000000000000
χ67222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ682222222222222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000000000000000000
χ692222222222222222222-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111000000000000000000000000000000000
χ702222222222222222222-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1000000000000000000000000000000000
χ712222-2-22-2-22222-2-222-2-22-222-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-111-111-1-1-1-111-1-111-11-1-111−i−iii−i−iii000000000000000000000000000000000
χ722222-2-22-2-22222-2-222-2-22-222-2-2−2i−2i2i2i−2i−2i2i2i-1-1-1-111-111-1-1-1-111-1-111-11-1-111ii−i−iii−i−i000000000000000000000000000000000
χ732222-2-22-2-22222-2-222-2-2-22-2-2222i2i−2i−2i−2i−2i2i2i-1-1-1-111-111-1-1-1-111-1-1111-111-1-1−i−iiiii−i−i000000000000000000000000000000000
χ742222-2-22-2-22222-2-222-2-2-22-2-222−2i−2i2i2i2i2i−2i−2i-1-1-1-111-111-1-1-1-111-1-1111-111-1-1ii−i−i−i−iii000000000000000000000000000000000
χ754444444-4-4444-444-4-4-4-400000000000000-2-2-2-2-2-2-222-2-2-22-2-2222200000000000000000000000000000000000000000000000
χ76444444-244-2-2-24-2-2-2-2-2-244-2-2-2-200000000-2-2-2-2-2-21-2-2111-2111111-2-2111100000000000000000000000000000000000000000
χ77444444-244-2-2-24-2-2-2-2-2-2-4-4222200000000-2-2-2-2-2-21-2-2111-211111122-1-1-1-100000000000000000000000000000000000000000
χ78444444-2-4-4-2-2-2-4-2-2222200−2i32i3−2i32i300000000-2-2-2-2-2-2122111211-1-1-1-100i3−i3i3−i300000000000000000000000000000000000000000
χ79444444-2-4-4-2-2-2-4-2-22222002i3−2i32i3−2i300000000-2-2-2-2-2-2122111211-1-1-1-100−i3i3−i3i300000000000000000000000000000000000000000
χ804444-4-4444444-4-4-4-4-44400000000000000-2-2-2-222-2-2-2-2-2-222222-2-200000000000000000000000000000000000000000000000
χ814444-4-4-244-2-2-2-42222-2-200−2i32i32i3−2i300000000-2-2-2-2221-2-21112-1-1-1-11100i3−i3−i3i300000000000000000000000000000000000000000
χ824444-4-4-244-2-2-2-42222-2-2002i3−2i3−2i32i300000000-2-2-2-2221-2-21112-1-1-1-11100−i3i3i3−i300000000000000000000000000000000000000000
χ834444-4-4-2-4-4-2-2-2422-2-2224-4-2-22200000000-2-2-2-222122111-2-1-111-1-1-2211-1-100000000000000000000000000000000000000000
χ844444-4-4-2-4-4-2-2-2422-2-222-4422-2-200000000-2-2-2-222122111-2-1-111-1-12-2-1-11100000000000000000000000000000000000000000
χ8544-4-40044i−4i4-4-4000004i−4i0000002+2i−2−2i2−2i−2+2i0000-2-22200-2−2i2i-22200000−2i2i000000−1−i1+i−1+i1−i0000000000000000000000000000000000000
χ8644-4-40044i−4i4-4-4000004i−4i000000−2−2i2+2i−2+2i2−2i0000-2-22200-2−2i2i-22200000−2i2i0000001+i−1−i1−i−1+i0000000000000000000000000000000000000
χ8744-4-4004−4i4i4-4-400000−4i4i0000002−2i−2+2i2+2i−2−2i0000-2-22200-22i−2i-222000002i−2i000000−1+i1−i−1−i1+i0000000000000000000000000000000000000
χ8844-4-4004−4i4i4-4-400000−4i4i000000−2+2i2−2i−2−2i2+2i0000-2-22200-22i−2i-222000002i−2i0000001−i−1+i1+i−1−i0000000000000000000000000000000000000
χ894-44-44-4400-44-404-400000000000000−2i22i2−2i22i2-22-22-22-2002-220-2200000000000000i2−i2i2−i2000000000000000000000000000000000
χ904-44-44-4400-44-404-4000000000000002i2−2i22i2−2i2-22-22-22-2002-220-2200000000000000−i2i2−i2i2000000000000000000000000000000000
χ914-44-4-44400-44-40-440000000000000022−22−2222-22-222-2-2002-2202-200000000000000−222−2000000000000000000000000000000000
χ924-44-4-44400-44-40-4400000000000000−222222−22-22-222-2-2002-2202-2000000000000002−2−22000000000000000000000000000000000
χ9388-8-800-48i−8i-44400000−4i4i00000000000000-4-444002−4i4i2-2-2000002i−2i00000000000000000000000000000000000000000000000
χ9488-8-800-4−8i8i-444000004i−4i00000000000000-4-4440024i−4i2-2-200000−2i2i00000000000000000000000000000000000000000000000
χ958-88-88-8-4004-440-44000000000000000000-44-44-44200-22-202-2000000000000000000000000000000000000000000000000000
χ968-88-8-88-4004-4404-4000000000000000000-44-444-4200-22-20-22000000000000000000000000000000000000000000000000000
χ978-8-8800800-8-88000000000000000000000-444-400-40044-4000000000000000000000000000000000000000000000000000000
χ988-8-8800-40044-4000−4i34i30000000000000000-444-400200-2-220002i3−2i30000000000000000000000000000000000000000000000000
χ998-8-8800-40044-40004i3−4i30000000000000000-444-400200-2-22000−2i32i30000000000000000000000000000000000000000000000000

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