Finite Group Databasebeta

← #72268888

Subgroups — #72268888

Order 3456.

5873 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#63710⋊C3C211yesmaximal, characteristic, complemented
2C22×D4×AGL(1,ℤ/9)C211yesmaximal, characteristic, complemented
33−1+2×#534C211yesmaximal, characteristic, complemented
4#10589906⋊C3C211yesmaximal, characteristic, complemented
5C2×#63499⋊C3C211yesmaximal, characteristic, complemented
6#10589756⋊C3C214yesmaximal, complemented
7#10589755⋊C3C212yesmaximal, complemented
8#10589758⋊C3C212yesmaximal, complemented
9#10589712⋊C3C214yesmaximal, complemented
10#10589711⋊C3C214yesmaximal, complemented
11#10589692⋊C3C214yesmaximal, complemented
12#120×AGL(1,ℤ/9)C212yesmaximal, complemented
13#10589694⋊C3C212yesmaximal, complemented
14C2×#63444⋊C3C211yesmaximal, characteristic, complemented
15#10589588⋊C3C211yesmaximal, characteristic, complemented
16C3×#86308—31nomaximal
17#11904279C311yesmaximal, characteristic, complemented
18C24×AGL(1,ℤ/9)C2211yescharacteristic, complemented
19C24×AGL(1,ℤ/9)C2211yescharacteristic, complemented
20C22×D4×3−1+2C2211yescharacteristic, complemented
21C22×D4×3−1+2C2211yescharacteristic, complemented
22C22×#611⋊C3C2211yescharacteristic
23C22×#611⋊C3C2211yescharacteristic, complemented
24C22×#611⋊C3C2212yescomplemented
25C22×#611⋊C3C2211yescharacteristic, complemented
26C22×#611⋊C3C2212yescomplemented
27#63710⋊C3—28no—
28C2×#3699⋊C3C2212yescomplemented
29C2×#3699⋊C3C2212yescomplemented
30C2×D4×AGL(1,ℤ/9)—28no—
31C2×D4×AGL(1,ℤ/9)C2214yescomplemented
32C2×D4×AGL(1,ℤ/9)C2214yescomplemented
33C2×D4×AGL(1,ℤ/9)C2214yescomplemented
34C2×D4×AGL(1,ℤ/9)C2212yescomplemented
35C2×D4×AGL(1,ℤ/9)C2212yescomplemented
36C2×#3697⋊C3C2212yescomplemented
37C22×C4⋊AGL(1,ℤ/9)C2211yescharacteristic, complemented
38C22×C4⋊AGL(1,ℤ/9)C2212yescomplemented
39C22×C4×AGL(1,ℤ/9)C2211yescharacteristic, complemented
403−1+2×#123C2212yescomplemented
413−1+2×#123C2212yescomplemented
423−1+2×#121C2214yescomplemented
433−1+2×#120C2212yescomplemented
443−1+2×#120C2212yescomplemented
45C2×C22⋊C4×3−1+2C2211yescharacteristic, complemented
46#11721704C2212yescomplemented
47C2×#3676⋊C3C2211yescharacteristic, complemented
48#63502⋊C3C2214yescomplemented
49#63501⋊C3C2214yescomplemented
50#63501⋊C3C2214yescomplemented
51#63499⋊C3C2212yescomplemented
52#63499⋊C3C2214yescomplemented
53#63499⋊C3C2214yescomplemented
54#63499⋊C3C2212yescomplemented
55#63499⋊C3C2212yescomplemented
56#63497⋊C3C2212yescomplemented
57#63491⋊C3C2212yescomplemented
58C4×#611⋊C3C2214yescomplemented
59C2×(C2×AGL(1,ℤ/9))⋊C4C2212yescomplemented
60C2×(C2×AGL(1,ℤ/9))⋊C4C2212yescomplemented
61#63458⋊C3C2214yescomplemented
62#63457⋊C3C2214yescomplemented
63#63456⋊C3C2214yescomplemented
64#63455⋊C3C2214yescomplemented
65#63447⋊C3C2214yescomplemented
66#63446⋊C3C2214yescomplemented
67#63446⋊C3C2214yescomplemented
68#63446⋊C3C2214yescomplemented
69#63444⋊C3C2212yescomplemented
70#63444⋊C3C2214yescomplemented
71#63444⋊C3C2214yescomplemented
72#63444⋊C3C2212yescomplemented
73#63444⋊C3C2214yescomplemented
74(#611⋊C3)⋊C4C2214yescomplemented
75(#611⋊C3)⋊C4C2214yescomplemented
76C22⋊C4×AGL(1,ℤ/9)C2214yescomplemented
77C22⋊C4×AGL(1,ℤ/9)C2212yescomplemented
78#63439⋊C3C2212yescomplemented
79C2×C3×#1004—31no—
80C22×C3×D3×D4—31no—
81C32×#534D311yescharacteristic
82C3×#5804—31no—
83C2×C3×#937—31no—
84C3×#5656—32no—
85C3×#5654—34no—
86C3×#5653—32no—
87C3×#5610—34no—
88C3×#5609—34no—
89C3×#5592—32no—
90C3×#5590—34no—
91C3×D3×#120—32no—
92C2×C3×#882—31no—
93C3×#5486—31no—
94C2×#63710C2×C311yescharacteristic, complemented
95C22×D4×D9C2×C311yescharacteristic, complemented
96C9×#534—21no—
97C9×#534C2×C311yescharacteristic, complemented
98#10589906C2×C311yescharacteristic, complemented
99C2×#63499C2×C311yescharacteristic, complemented
100#10589758C2×C312yescomplemented
101#10589756C2×C314yescomplemented
102#10589755C2×C312yescomplemented
103#10589712C2×C314yescomplemented
104#10589711C2×C314yescomplemented
105#10589694C2×C312yescomplemented
106#10589692C2×C314yescomplemented
107D9×#120C2×C312yescomplemented
108C2×#63444C2×C311yescharacteristic, complemented
109#10589588C2×C311yescharacteristic, complemented
110C24×3−1+2C2311yescharacteristic
111C24×3−1+2C2311yescharacteristic
112C24×3−1+2C2311yescharacteristic, complemented
113C23×AGL(1,ℤ/9)—24no—
114C23×AGL(1,ℤ/9)—24no—
115C23×AGL(1,ℤ/9)—44no—
116C23×AGL(1,ℤ/9)—44no—
117C23×AGL(1,ℤ/9)C2311yescharacteristic
118C23×AGL(1,ℤ/9)C2312yes—
119C23×AGL(1,ℤ/9)C2314yes—
120C23×AGL(1,ℤ/9)C2312yes—
121C23×AGL(1,ℤ/9)C2311yescharacteristic
122C23×AGL(1,ℤ/9)C2311yescharacteristic
123C23×AGL(1,ℤ/9)C2311yescharacteristic, complemented
124C23×AGL(1,ℤ/9)C2312yescomplemented
125C2×D4×3−1+2—24no—
126C2×D4×3−1+2—24no—
127C2×D4×3−1+2C2312yes—
128C2×D4×3−1+2C2312yes—
129C2×D4×3−1+2C2312yes—
130C2×D4×3−1+2C2312yescomplemented
131C2×D4×3−1+2C2314yescomplemented
132C22×C4×3−1+2C2311yescharacteristic
133C22×C4×3−1+2C2311yescharacteristic, complemented
134C22×C4×3−1+2C2312yescomplemented
135C2×#611⋊C3—24no—
136C2×#611⋊C3—28no—
137C2×#611⋊C3—24no—
138C2×#611⋊C3—44no—
139C2×#611⋊C3D418yescomplemented
140C2×#611⋊C3C2314yes—
141C2×#611⋊C3C2312yes—
142C2×#611⋊C3C2314yes—
143C2×#611⋊C3C2312yes—
144C2×#611⋊C3C2312yes—
145C2×#611⋊C3C2312yescomplemented
146C2×#611⋊C3C2312yescomplemented
147C2×#611⋊C3C2312yescomplemented
148C2×#611⋊C3C2314yescomplemented
149C2×#611⋊C3C2314yescomplemented
150C22×3−1+2⋊C4C2311yescharacteristic
151C22×3−1+2⋊C4C2311yescharacteristic, complemented
152C22×3−1+2⋊C4C2312yescomplemented
153C22×3−1+2⋊C4C2312yescomplemented
154#3699⋊C3—28no—
155#3699⋊C3—28no—
156D4×AGL(1,ℤ/9)—28no—
157D4×AGL(1,ℤ/9)—216no—
158D4×AGL(1,ℤ/9)—216no—
159D4×AGL(1,ℤ/9)—28no—
160D4×AGL(1,ℤ/9)—48no—
161#3697⋊C3—28no—
162C2×C4⋊AGL(1,ℤ/9)—24no—
163C2×C4⋊AGL(1,ℤ/9)—44no—
164C2×C4⋊AGL(1,ℤ/9)C2314yes—
165C2×C4⋊AGL(1,ℤ/9)C2314yes—
166C2×C4⋊AGL(1,ℤ/9)C2312yescomplemented
167C2×C4⋊AGL(1,ℤ/9)C2314yescomplemented
168C2×C4×AGL(1,ℤ/9)—24no—
169C2×C4×AGL(1,ℤ/9)C2314yes—
170C2×C4×AGL(1,ℤ/9)C2312yescomplemented
171C2×C4×AGL(1,ℤ/9)C2312yescomplemented
172C2×C4×AGL(1,ℤ/9)C2314yescomplemented
173C2×3−1+2⋊Q8C2312yescomplemented
174C4⋊C4×3−1+2C2314yescomplemented
175C22⋊C4×3−1+2C2312yes—
176C22⋊C4×3−1+2C2312yescomplemented
177C22⋊C4×3−1+2C2314yescomplemented
178C22⋊C4×3−1+2C2314yescomplemented
179#3676⋊C3C2312yes—
180#3676⋊C3C2312yescomplemented
181#3676⋊C3C2314yescomplemented
182(C2×AGL(1,ℤ/9))⋊C4C2314yes—
183(C2×AGL(1,ℤ/9))⋊C4C2314yes—
184(C2×AGL(1,ℤ/9))⋊C4C2314yescomplemented
185(C2×AGL(1,ℤ/9))⋊C4C2314yescomplemented
186(C2×AGL(1,ℤ/9))⋊C4C2314yescomplemented
187(C2×AGL(1,ℤ/9))⋊C4C2314yescomplemented
188(3−1+2⋊C4)⋊C4C2314yescomplemented
189(3−1+2⋊C4)⋊C4C2314yescomplemented
190C4×3−1+2⋊C4C2314yescomplemented
191C3×#3484—91no—
192#86308—31no—
193C24×C3×D3—31no—
194C24×C3×D3—31no—
195C22×C32×D4C2×D311yescharacteristic
196C22×C32×D4C2×D311yescharacteristic
197C22×C3×#67—31no—
198C22×C3×#67—31no—
199C22×C3×#67—32no—
200C22×C3×#67—31no—
201C22×C3×#67—32no—
202C3×#1004—68no—
203C2×C3×#237—32no—
204C2×C3×#237—32no—
205C2×C3×D3×D4—32no—
206C2×C3×D3×D4—34no—
207C2×C3×D3×D4—34no—
208C2×C3×D3×D4—32no—
209C2×C3×D3×D4—34no—
210C2×C3×D3×D4—68no—
211C2×C3×#235—32no—
212C22×C3×D12—31no—
213C22×C3×D12—32no—
214C22×C3×C4×D3—31no—
215C24×D9C22×C311yescharacteristic, complemented
216C24×D9C22×C311yescharacteristic, complemented
217C32×#123C2×D312yes—
218C32×#123C2×D312yes—
219C32×#121C2×D314yes—
220C32×#120C2×D312yes—
221C32×#120C2×D312yes—
222C2×C32×C22⋊C4C2×D311yescharacteristic
223C3×#953—32no—
224C2×C3×#217—31no—
225C3×#940—34no—
226C3×#939—34no—
227C3×#939—34no—
228C3×#937—32no—
229C3×#937—32no—
230C3×#937—34no—
231C3×#937—32no—
232C3×#937—34no—
233C3×#935—32no—
234C3×#929—32no—
235C3×C4×#67—34no—
236C2×C3×(C2×D3)⋊C4—32no—
237C2×C3×(C2×D3)⋊C4—32no—
238C3×#896—34no—
239C3×#895—34no—
240C3×#894—34no—
241C3×#893—34no—
242C3×#885—34no—
243C3×#884—34no—
244C3×#884—34no—
245C3×#884—34no—
246C3×#882—32no—
247C3×#882—34no—
248C3×#882—32no—
249C3×#882—34no—
250C3×#882—34no—
251C3×#67⋊C4—34no—
252C3×#67⋊C4—34no—
253C3×D3×C22⋊C4—34no—
254C3×D3×C22⋊C4—32no—
255C3×#877—32no—
256C22×D4×C9—21no—
257C22×D4×C9—21no—
258C22×D4×C9C22×C311yescharacteristic, complemented
259C22×D4×C9C22×C311yescharacteristic, complemented
260C22×#611C22×C311yescharacteristic
261C22×#611C22×C311yescharacteristic, complemented
262C22×#611C22×C311yescharacteristic, complemented
263C22×#611C22×C312yescomplemented
264C22×#611C22×C312yescomplemented
265#63710—28no—
266C2×#3699C22×C312yescomplemented
267C2×#3699C22×C312yescomplemented
268C2×D4×D9—28no—
269C2×D4×D9C22×C314yescomplemented
270C2×D4×D9C22×C314yescomplemented
271C2×D4×D9C22×C314yescomplemented
272C2×D4×D9C22×C312yescomplemented
273C2×D4×D9C22×C312yescomplemented
274C2×#3697C22×C312yescomplemented
275C22×D36C22×C311yescharacteristic, complemented
276C22×D36C22×C312yescomplemented
277C22×C4×D9C22×C311yescharacteristic, complemented
278C9×#123—22no—
279C9×#123—22no—
280C9×#123C22×C312yescomplemented
281C9×#123C22×C312yescomplemented
282C9×#121—24no—
283C9×#121C22×C314yescomplemented
284C9×#120—22no—
285C9×#120—22no—
286C9×#120C22×C312yescomplemented
287C9×#120C22×C312yescomplemented
288C2×C9×C22⋊C4—21no—
289C2×C9×C22⋊C4C22×C311yescharacteristic, complemented
290#63515C22×C312yescomplemented
291C2×#3676C22×C311yescharacteristic, complemented
292#63502C22×C314yescomplemented
293#63501C22×C314yescomplemented
294#63501C22×C314yescomplemented
295#63499C22×C312yescomplemented
296#63499C22×C314yescomplemented
297#63499C22×C314yescomplemented
298#63499C22×C312yescomplemented
299#63499C22×C312yescomplemented
300#63497C22×C312yescomplemented
301#63491C22×C312yescomplemented
302C4×#611C22×C314yescomplemented
303C2×(C2×D9)⋊C4C22×C312yescomplemented
304C2×(C2×D9)⋊C4C22×C312yescomplemented
305#63458C22×C314yescomplemented
306#63457C22×C314yescomplemented
307#63456C22×C314yescomplemented
308#63455C22×C314yescomplemented
309#63447C22×C314yescomplemented
310#63446C22×C314yescomplemented
311#63446C22×C314yescomplemented
312#63446C22×C314yescomplemented
313#63444C22×C312yescomplemented
314#63444C22×C314yescomplemented
315#63444C22×C314yescomplemented
316#63444C22×C312yescomplemented
317#63444C22×C314yescomplemented
318#611⋊C4C22×C314yescomplemented
319#611⋊C4C22×C314yescomplemented
320C22⋊C4×D9C22×C314yescomplemented
321C22⋊C4×D9C22×C312yescomplemented
322#63439C22×C312yescomplemented
323C23×3−1+2—22no—
324C23×3−1+2—22no—
325C23×3−1+2—42no—
326C23×3−1+2—42no—
327C23×3−1+2—42no—
328C23×3−1+2C2×D414yescomplemented
329C23×3−1+2C2412yes—
330C23×3−1+2C2412yes—
331C23×3−1+2C2411yescharacteristic
332C23×3−1+2C2411yescharacteristic
333C23×3−1+2C2411yescharacteristic
334C22×AGL(1,ℤ/9)—22no—
335C22×AGL(1,ℤ/9)—24no—
336C22×AGL(1,ℤ/9)—22no—
337C22×AGL(1,ℤ/9)—24no—
338C22×AGL(1,ℤ/9)—24no—
339C22×AGL(1,ℤ/9)—22no—
340C22×AGL(1,ℤ/9)—28no—
341C22×AGL(1,ℤ/9)—24no—
342C22×AGL(1,ℤ/9)—28no—
343C22×AGL(1,ℤ/9)—24no—
344C22×AGL(1,ℤ/9)—24no—
345C22×AGL(1,ℤ/9)—42no—
346C22×AGL(1,ℤ/9)—44no—
347C22×AGL(1,ℤ/9)—42no—
348C22×AGL(1,ℤ/9)—42no—
349C22×AGL(1,ℤ/9)—42no—
350C22×AGL(1,ℤ/9)—42no—
351C22×AGL(1,ℤ/9)—44no—
352C22×AGL(1,ℤ/9)—416no—
353C22×AGL(1,ℤ/9)—416no—
354C22×AGL(1,ℤ/9)C2×D414yescomplemented
355C22×AGL(1,ℤ/9)C2412yes—
356C22×AGL(1,ℤ/9)C2412yes—
357C22×AGL(1,ℤ/9)C2412yes—
358C22×AGL(1,ℤ/9)C2412yes—
359D4×3−1+2—24no—
360D4×3−1+2—24no—
361D4×3−1+2—24no—
362D4×3−1+2—24no—
363D4×3−1+2—44no—
364C2×C4×3−1+2—22no—
365C2×C4×3−1+2—22no—
366C2×C4×3−1+2—42no—
367C2×C4×3−1+2C2412yes—
368C2×C4×3−1+2C2412yes—
369C2×C4×3−1+2C2414yes—
370#611⋊C3—24no—
371#611⋊C3—24no—
372#611⋊C3—24no—
373#611⋊C3—28no—
374#611⋊C3—28no—
375#611⋊C3—24no—
376#611⋊C3—44no—
377#611⋊C3—44no—
378#611⋊C3C2×D418yescomplemented
379#611⋊C3C2×D418yescomplemented
380C2×3−1+2⋊C4—22no—
381C2×3−1+2⋊C4—24no—
382C2×3−1+2⋊C4—42no—
383C2×3−1+2⋊C4C2×D414yescomplemented
384C2×3−1+2⋊C4C2412yes—
385C2×3−1+2⋊C4C2414yes—
386C2×3−1+2⋊C4C2412yes—
387C4⋊AGL(1,ℤ/9)—28no—
388C4⋊AGL(1,ℤ/9)—24no—
389C4⋊AGL(1,ℤ/9)—28no—
390C4⋊AGL(1,ℤ/9)—44no—
391C4×AGL(1,ℤ/9)—24no—
392C4×AGL(1,ℤ/9)—28no—
393C4×AGL(1,ℤ/9)—24no—
394C4×AGL(1,ℤ/9)—44no—
3953−1+2⋊Q8—24no—
396C2×C3×H(5,𝔽2)—91no—
397C23×C3×D4—91no—
398C2×#1004—31no—
399C22×D3×D4—31no—
400C3×#546—94no—
401C3×#546—94no—
402C3×D42—94no—
403C3×D42—94no—
404C3×#535—92no—
405C3×#534—31no—
406C3×#534—92no—
407C3×#534—91no—
408C3×#534C3×D311yescharacteristic
409C3×#525—92no—
410C2×C3×#120—91no—
411C2×C3×#120—92no—
412C2×C3×#120—91no—
413C3×#518—91no—
414#5804—31no—
415C2×#937—31no—
416#5656—32no—
417#5654—34no—
418#5653—32no—
419#5610—34no—
420#5609—34no—
421#5592—32no—
422#5590—34no—
423D3×#120—32no—
424C2×#882—31no—
425#5486—31no—
426C24×C32C22×D311yescharacteristic
427C24×C32C22×D311yescharacteristic
428C24×C32C22×D311yescharacteristic
429C23×C3×D3—31no—
430C23×C3×D3—31no—
431C23×C3×D3—34no—
432C23×C3×D3—32no—
433C23×C3×D3—32no—
434C23×C3×D3—31no—
435C23×C3×D3—32no—
436C23×C3×D3—31no—
437C23×C3×D3—64no—
438C23×C3×D3—64no—
439C23×C3×D3—124no—
440C23×C3×D3—124no—
441C2×C32×D4—24no—
442C2×C32×D4—24no—
443C2×C32×D4C22×D312yes—
444C2×C32×D4C22×D312yes—
445C2×C32×D4C22×D312yes—
446C2×C32×D4C22×D312yes—
447C2×C32×D4C22×D314yes—
448C22×C32×C4C22×D311yescharacteristic
449C22×C32×C4C22×D311yescharacteristic
450C22×C32×C4C22×D312yes—
451C2×C3×#67—38no—
452C2×C3×#67—32no—
453C2×C3×#67—32no—
454C2×C3×#67—34no—
455C2×C3×#67—32no—
456C2×C3×#67—32no—
457C2×C3×#67—32no—
458C2×C3×#67—32no—
459C2×C3×#67—34no—
460C2×C3×#67—34no—
461C2×C3×#67—34no—
462C2×C3×#67—64no—
463C2×C3×#67—68no—
464C2×C3×#67—64no—
465C2×C3×#67—124no—
466C22×C3×Dic3—31no—
467C22×C3×Dic3—32no—
468C22×C3×Dic3—31no—
469C22×C3×Dic3—32no—
470C3×#237—68no—
471C3×#237—68no—
472C3×D3×D4—616no—
473C3×D3×D4—616no—
474C3×D3×D4—68no—
475C3×D3×D4—68no—
476C3×D3×D4—128no—
477C3×#235—68no—
478C2×C3×D12—34no—
479C2×C3×D12—32no—
480C2×C3×D12—34no—
481C2×C3×D12—34no—
482C2×C3×D12—64no—
483C2×C3×D12—124no—
484C2×C3×C4×D3—32no—
485C2×C3×C4×D3—34no—
486C2×C3×C4×D3—32no—
487C2×C3×C4×D3—34no—
488C2×C3×C4×D3—64no—
489C2×C3×Dic6—32no—
490C24×C9—21no—
491C24×C9—21no—
492C24×C9—21no—
493C24×C9C23×C311yescharacteristic
494C24×C9C23×C311yescharacteristic
495C24×C9C23×C311yescharacteristic, complemented
496C23×D9—24no—
497C23×D9—24no—
498C23×D9—44no—
499C23×D9—44no—
500C23×D9C23×C311yescharacteristic
501C23×D9C23×C312yes—
502C23×D9C23×C312yes—
503C23×D9C23×C314yes—
504C23×D9C23×C311yescharacteristic
505C23×D9C23×C311yescharacteristic
506C23×D9C23×C311yescharacteristic, complemented
507C23×D9C23×C312yescomplemented
508C32×C4⋊C4C22×D314yes—
509C32×C22⋊C4C22×D312yes—
510C32×C22⋊C4C22×D314yes—
511C32×C22⋊C4C22×D312yes—
512C32×C22⋊C4C22×D314yes—
513C3×#217—32no—
514C3×#217—34no—
515C3×#217—32no—
516C3×(C2×D3)⋊C4—34no—
517C3×(C2×D3)⋊C4—34no—
518C3×(C2×D3)⋊C4—34no—
519C3×(C2×D3)⋊C4—34no—
520C3×(C2×D3)⋊C4—34no—
521C3×(C2×D3)⋊C4—34no—
522C3×Dic3⋊C4—34no—
523C3×Dic3⋊C4—34no—
524C3×C4×Dic3—34no—
525C2×D4×C9—24no—
526C2×D4×C9—24no—
527C2×D4×C9—22no—
528C2×D4×C9—22no—
529C2×D4×C9—22no—
530C2×D4×C9—22no—
531C2×D4×C9—24no—
532C2×D4×C9—44no—
533C2×D4×C9—44no—
534C2×D4×C9C23×C312yes—
535C2×D4×C9C23×C312yes—
536C2×D4×C9C23×C312yes—
537C2×D4×C9C23×C312yescomplemented
538C2×D4×C9C23×C314yescomplemented
539C22×C4×C9—21no—
540C22×C4×C9—21no—
541C22×C4×C9—22no—
542C22×C4×C9C23×C311yescharacteristic
543C22×C4×C9C23×C311yescharacteristic, complemented
544C22×C4×C9C23×C312yescomplemented
545C2×#611—24no—
546C2×#611—28no—
547C2×#611—24no—
548C2×#611—44no—
549C2×#611C3×D418yescomplemented
550C2×#611C23×C312yes—
551C2×#611C23×C314yes—
552C2×#611C23×C314yes—
553C2×#611C23×C312yes—
554C2×#611C23×C312yes—
555C2×#611C23×C312yescomplemented
556C2×#611C23×C312yescomplemented
557C2×#611C23×C312yescomplemented
558C2×#611C23×C314yescomplemented
559C2×#611C23×C314yescomplemented
560C22×Dic9C23×C311yescharacteristic
561C22×Dic9C23×C311yescharacteristic, complemented
562C22×Dic9C23×C312yescomplemented
563C22×Dic9C23×C312yescomplemented
564#3699—28no—
565#3699—28no—
566D4×D9—28no—
567D4×D9—216no—
568D4×D9—216no—
569D4×D9—28no—
570D4×D9—48no—
571#3697—28no—
572C2×D36—24no—
573C2×D36—44no—
574C2×D36C23×C314yes—
575C2×D36C23×C314yes—
576C2×D36C23×C312yescomplemented
577C2×D36C23×C314yescomplemented
578C2×C4×D9—24no—
579C2×C4×D9C23×C314yes—
580C2×C4×D9C23×C312yescomplemented
581C2×C4×D9C23×C312yescomplemented
582C2×C4×D9C23×C314yescomplemented
583C2×Dic18C23×C312yescomplemented
584C9×C4⋊C4—24no—
585C9×C4⋊C4C23×C314yescomplemented
586C9×C22⋊C4—22no—
587C9×C22⋊C4—22no—
588C9×C22⋊C4—24no—
589C9×C22⋊C4—24no—
590C9×C22⋊C4C23×C312yes—
591C9×C22⋊C4C23×C312yescomplemented
592C9×C22⋊C4C23×C314yescomplemented
593C9×C22⋊C4C23×C314yescomplemented
594#3676C23×C312yes—
595#3676C23×C312yescomplemented
596#3676C23×C314yescomplemented
597(C2×D9)⋊C4C23×C314yes—
598(C2×D9)⋊C4C23×C314yes—
599(C2×D9)⋊C4C23×C314yescomplemented
600(C2×D9)⋊C4C23×C314yescomplemented
601(C2×D9)⋊C4C23×C314yescomplemented
602(C2×D9)⋊C4C23×C314yescomplemented
603Dic9⋊C4C23×C314yescomplemented
604Dic9⋊C4C23×C314yescomplemented
605C4×Dic9C23×C314yescomplemented
606#3484—91noSylow
607C22×3−1+2—22no—
608C22×3−1+2—22no—
609C22×3−1+2—22no—
610C22×3−1+2—22no—
611C22×3−1+2—22no—
612C22×3−1+2—24no—
613C22×3−1+2—24no—
614C22×3−1+2—44no—
615C22×3−1+2—44no—
616C22×3−1+2—82no—
617C22×3−1+2C22×D412yes—
618C22×3−1+2C22×D412yes—
619C22×3−1+2C22×D412yes—
620C22×3−1+2C2511yescharacteristic
621C2×AGL(1,ℤ/9)—28no—
622C2×AGL(1,ℤ/9)—22no—
623C2×AGL(1,ℤ/9)—24no—
624C2×AGL(1,ℤ/9)—22no—
625C2×AGL(1,ℤ/9)—22no—
626C2×AGL(1,ℤ/9)—22no—
627C2×AGL(1,ℤ/9)—24no—
628C2×AGL(1,ℤ/9)—22no—
629C2×AGL(1,ℤ/9)—22no—
630C2×AGL(1,ℤ/9)—44no—
631C2×AGL(1,ℤ/9)—416no—
632C2×AGL(1,ℤ/9)—48no—
633C2×AGL(1,ℤ/9)—48no—
634C2×AGL(1,ℤ/9)—44no—
635C2×AGL(1,ℤ/9)—84no—
636C2×AGL(1,ℤ/9)—82no—
637C2×AGL(1,ℤ/9)C22×D414yes—
638C2×AGL(1,ℤ/9)H(5,𝔽2)14yescomplemented
639C4×3−1+2—22no—
640C4×3−1+2—22no—
641C4×3−1+2—24no—
6423−1+2⋊C4—22no—
6433−1+2⋊C4—24no—
6443−1+2⋊C4C22×D414yes—
645C25×C3—91no—
646C25×C3—91no—
647C24×D3—31no—
648C24×D3—31no—
649C3×H(5,𝔽2)—188no—
650C2×C3×#41—92no—
651C2×C3×#41—92no—
652C2×C3×#41—92no—
653C22×C3×D4—31no—
654C22×C3×D4—31no—
655C22×C3×D4—91no—
656C22×C3×D4—92no—
657C22×C3×D4—94no—
658C22×C3×D4—94no—
659C22×C3×D4—92no—
660C22×C3×D4—92no—
661C22×C3×D4—94no—
662C22×C3×D4—91no—
663C22×C3×D4—91no—
664C22×C3×D4—91no—
665C22×C3×D4—92no—
666C22×C3×D4—92no—
667C22×C3×D4—188no—
668C22×C3×D4C2×C3×D311yescharacteristic
669C22×C3×D4C2×C3×D311yescharacteristic
670C23×C3×C4—91no—
671C22×#67—31no—
672C22×#67—31no—
673C22×#67—31no—
674C22×#67—32no—
675C22×#67—32no—
676#1004—68no—
677C2×#237—32no—
678C2×#237—32no—
679C2×D3×D4—32no—
680C2×D3×D4—34no—
681C2×D3×D4—34no—
682C2×D3×D4—32no—
683C2×D3×D4—34no—
684C2×D3×D4—68no—
685C2×#235—32no—
686C22×D12—31no—
687C22×D12—32no—
688C22×C4×D3—31no—
689C3×#127—94no—
690C3×#124—94no—
691C3×#123—32no—
692C3×#123—32no—
693C3×#123—94no—
694C3×#123—92no—
695C3×#123—92no—
696C3×#123C2×C3×D312yes—
697C3×#123C2×C3×D312yes—
698C3×C22⋊Q8—94no—
699C3×#121—34no—
700C3×#121—94no—
701C3×#121—94no—
702C3×#121—94no—
703C3×#121—94no—
704C3×#121—94no—
705C3×#121—94no—
706C3×#121C2×C3×D314yes—
707C3×#120—32no—
708C3×#120—32no—
709C3×#120—92no—
710C3×#120—92no—
711C3×#120—94no—
712C3×#120—94no—
713C3×#120—94no—
714C3×#120—92no—
715C3×#120—92no—
716C3×#120—94no—
717C3×#120—94no—
718C3×#120—92no—
719C3×#120—92no—
720C3×#120C2×C3×D312yes—
721C3×#120C2×C3×D312yes—
722C3×C4×D4—94no—
723C3×C4×D4—94no—
724C3×C4×D4—94no—
725C3×C4×D4—94no—
726C3×#117—92no—
727C2×C3×C22⋊C4—31no—
728C2×C3×C22⋊C4—92no—
729C2×C3×C22⋊C4—94no—
730C2×C3×C22⋊C4—92no—
731C2×C3×C22⋊C4—92no—
732C2×C3×C22⋊C4—91no—
733C2×C3×C22⋊C4C2×C3×D311yescharacteristic
734#953—32no—
735C2×#217—31no—
736#940—34no—
737#939—34no—
738#939—34no—
739#937—32no—
740#937—32no—
741#937—34no—
742#937—32no—
743#937—34no—
744#935—32no—
745#929—32no—
746C4×#67—34no—
747C2×(C2×D3)⋊C4—32no—
748C2×(C2×D3)⋊C4—32no—
749#896—34no—
750#895—34no—
751#894—34no—
752#893—34no—
753#885—34no—
754#884—34no—
755#884—34no—
756#884—34no—
757#882—32no—
758#882—34no—
759#882—34no—
760#882—34no—
761#882—32no—
762#67⋊C4—34no—
763#67⋊C4—34no—
764D3×C22⋊C4—32no—
765D3×C22⋊C4—34no—
766#877—32no—
767C23×C32—22no—
768C23×C32—22no—
769C23×C32—42no—
770C23×C32—42no—
771C23×C32—42no—
772C23×C32D3×D414yes—
773C23×C32C23×D312yes—
774C23×C32C23×D312yes—
775C23×C32C23×D311yescharacteristic
776C23×C32C23×D311yescharacteristic
777C23×C32C23×D311yescharacteristic
778C22×C3×D3—32no—
779C22×C3×D3—32no—
780C22×C3×D3—34no—
781C22×C3×D3—32no—
782C22×C3×D3—32no—
783C22×C3×D3—64no—
784C22×C3×D3—68no—
785C22×C3×D3—64no—
786C22×C3×D3—68no—
787C22×C3×D3—64no—
788C22×C3×D3—64no—
789C22×C3×D3—62no—
790C22×C3×D3—62no—
791C22×C3×D3—64no—
792C22×C3×D3—64no—
793C22×C3×D3—62no—
794C22×C3×D3—122no—
795C22×C3×D3—124no—
796C22×C3×D3—122no—
797C22×C3×D3—122no—
798C22×C3×D3—122no—
799C22×C3×D3—122no—
800C22×C3×D3—124no—
801C22×C3×D3—1216no—
802C22×C3×D3—1216no—
803C32×D4—24no—
804C32×D4—24no—
805C32×D4—24no—
806C32×D4—24no—
807C32×D4—44no—
808C2×C32×C4—22no—
809C2×C32×C4—22no—
810C2×C32×C4—42no—
811C2×C32×C4C23×D314yes—
812C2×C32×C4C23×D312yes—
813C2×C32×C4C23×D312yes—
814C3×#67—38no—
815C3×#67—38no—
816C3×#67—68no—
817C3×#67—64no—
818C3×#67—64no—
819C3×#67—68no—
820C3×#67—64no—
821C3×#67—64no—
822C3×#67—124no—
823C3×#67—124no—
824C2×C3×Dic3—34no—
825C2×C3×Dic3—32no—
826C2×C3×Dic3—34no—
827C2×C3×Dic3—32no—
828C2×C3×Dic3—64no—
829C2×C3×Dic3—62no—
830C2×C3×Dic3—122no—
831C3×D12—68no—
832C3×D12—68no—
833C3×D12—64no—
834C3×D12—124no—
835C3×C4×D3—68no—
836C3×C4×D3—64no—
837C3×C4×D3—64no—
838C3×C4×D3—124no—
839C3×Dic6—64no—
840C23×C9—22no—
841C23×C9—22no—
842C23×C9—21no—
843C23×C9—21no—
844C23×C9—21no—
845C23×C9—22no—
846C23×C9—22no—
847C23×C9—24no—
848C23×C9—42no—
849C23×C9—42no—
850C23×C9—42no—
851C23×C9—42no—
852C23×C9—42no—
853C23×C9—82no—
854C23×C9—82no—
855C23×C9—82no—
856C23×C9C2×C3×D414yescomplemented
857C23×C9C24×C312yes—
858C23×C9C24×C312yes—
859C23×C9C24×C311yescharacteristic
860C23×C9C24×C311yescharacteristic
861C23×C9C24×C311yescharacteristic
862C22×D9—22no—
863C22×D9—24no—
864C22×D9—22no—
865C22×D9—24no—
866C22×D9—24no—
867C22×D9—22no—
868C22×D9—28no—
869C22×D9—24no—
870C22×D9—28no—
871C22×D9—24no—
872C22×D9—24no—
873C22×D9—42no—
874C22×D9—44no—
875C22×D9—42no—
876C22×D9—42no—
877C22×D9—42no—
878C22×D9—42no—
879C22×D9—44no—
880C22×D9—416no—
881C22×D9—416no—
882C22×D9C2×C3×D414yescomplemented
883C22×D9C24×C312yes—
884C22×D9C24×C312yes—
885C22×D9C24×C312yes—
886C22×D9C24×C312yes—
887D4×C9—24no—
888D4×C9—24no—
889D4×C9—24no—
890D4×C9—24no—
891D4×C9—44no—
892D4×C9—44no—
893D4×C9—44no—
894D4×C9—44no—
895D4×C9—44no—
896D4×C9—84no—
897C2×C4×C9—22no—
898C2×C4×C9—22no—
899C2×C4×C9—24no—
900C2×C4×C9—22no—
901C2×C4×C9—22no—
902C2×C4×C9—42no—
903C2×C4×C9—42no—
904C2×C4×C9—42no—
905C2×C4×C9—82no—
906C2×C4×C9C24×C314yes—
907C2×C4×C9C24×C312yes—
908C2×C4×C9C24×C312yes—
909#611—24no—
910#611—24no—
911#611—24no—
912#611—28no—
913#611—28no—
914#611—24no—
915#611—44no—
916#611—44no—
917#611C2×C3×D418yescomplemented
918#611C2×C3×D418yescomplemented
919C2×Dic9—22no—
920C2×Dic9—24no—
921C2×Dic9—42no—
922C2×Dic9C2×C3×D414yescomplemented
923C2×Dic9C24×C314yes—
924C2×Dic9C24×C312yes—
925C2×Dic9C24×C312yes—
926D36—28no—
927D36—24no—
928D36—28no—
929D36—44no—
930C4×D9—24no—
931C4×D9—28no—
932C4×D9—24no—
933C4×D9—44no—
934Dic18—24no—
935C2×H(5,𝔽2)—91no—
936C23×D4—91no—
937#546—94no—
938#546—94no—
939D42—94no—
940D42—94no—
941#535—92no—
942#534—91no—
943#534—92no—
944#534AGL(1,ℤ/9)11yescharacteristic, complemented
945#525—92no—
946C2×#120—91no—
947C2×#120—92no—
948C2×#120—91no—
949#518—91no—
950C2×3−1+2—22no—
951C2×3−1+2—22no—
952C2×3−1+2—22no—
953C2×3−1+2—42no—
954C2×3−1+2—42no—
955C2×3−1+2C23×D411yescharacteristic
956C2×3−1+2C2×H(5,𝔽2)12yes—
957AGL(1,ℤ/9)—24no—
958AGL(1,ℤ/9)—24no—
959AGL(1,ℤ/9)—42no—
960AGL(1,ℤ/9)—42no—
961C24×C3—31no—
962C24×C3—31no—
963C24×C3—31no—
964C24×C3—91no—
965C24×C3—91no—
966C24×C3—92no—
967C24×C3—92no—
968C24×C3—94no—
969C24×C3—91no—
970C24×C3—91no—
971C24×C3—92no—
972C24×C3—184no—
973C24×C3—184no—
974C24×C3—364no—
975C24×C3—364no—
976C24×C3C22×C3×D311yescharacteristic
977C24×C3C22×C3×D311yescharacteristic
978C24×C3C22×C3×D311yescharacteristic
979C23×D3—31no—
980C23×D3—31no—
981C23×D3—34no—
982C23×D3—32no—
983C23×D3—32no—
984C23×D3—31no—
985C23×D3—32no—
986C23×D3—31no—
987C23×D3—64no—
988C23×D3—64no—
989C23×D3—124no—
990C23×D3—124no—
991C3×#41—188no—
992C3×#41—188no—
993C3×#41—188no—
994C2×C3×Q8—92no—
995C2×C3×D4—24no—
996C2×C3×D4—24no—
997C2×C3×D4—32no—
998C2×C3×D4—32no—
999C2×C3×D4—32no—
1000C2×C3×D4—32no—
1001C2×C3×D4—34no—
1002C2×C3×D4—64no—
1003C2×C3×D4—64no—
1004C2×C3×D4—94no—
1005C2×C3×D4—92no—
1006C2×C3×D4—94no—
1007C2×C3×D4—94no—
1008C2×C3×D4—92no—
1009C2×C3×D4—92no—
1010C2×C3×D4—98no—
1011C2×C3×D4—94no—
1012C2×C3×D4—92no—
1013C2×C3×D4—92no—
1014C2×C3×D4—92no—
1015C2×C3×D4—94no—
1016C2×C3×D4—92no—
1017C2×C3×D4—94no—
1018C2×C3×D4—94no—
1019C2×C3×D4—184no—
1020C2×C3×D4—184no—
1021C2×C3×D4—1816no—
1022C2×C3×D4—1816no—
1023C2×C3×D4—188no—
1024C2×C3×D4—188no—
1025C2×C3×D4—188no—
1026C2×C3×D4—184no—
1027C2×C3×D4—364no—
1028C2×C3×D4—368no—
1029C2×C3×D4—364no—
1030C2×C3×D4C22×C3×D312yes—
1031C2×C3×D4C22×C3×D312yes—
1032C2×C3×D4C22×C3×D312yes—
1033C2×C3×D4C22×C3×D312yes—
1034C2×C3×D4C22×C3×D314yes—
1035C22×C3×C4—31no—
1036C22×C3×C4—31no—
1037C22×C3×C4—32no—
1038C22×C3×C4—92no—
1039C22×C3×C4—92no—
1040C22×C3×C4—94no—
1041C22×C3×C4—94no—
1042C22×C3×C4—91no—
1043C22×C3×C4—91no—
1044C22×C3×C4—92no—
1045C22×C3×C4—92no—
1046C22×C3×C4—184no—
1047C22×C3×C4C22×C3×D311yescharacteristic
1048C22×C3×C4C22×C3×D311yescharacteristic
1049C22×C3×C4C22×C3×D312yes—
1050C2×#67—32no—
1051C2×#67—32no—
1052C2×#67—38no—
1053C2×#67—34no—
1054C2×#67—32no—
1055C2×#67—32no—
1056C2×#67—32no—
1057C2×#67—32no—
1058C2×#67—34no—
1059C2×#67—34no—
1060C2×#67—34no—
1061C2×#67—64no—
1062C2×#67—68no—
1063C2×#67—64no—
1064C2×#67—124no—
1065C22×Dic3—31no—
1066C22×Dic3—32no—
1067C22×Dic3—31no—
1068C22×Dic3—32no—
1069#237—68no—
1070#237—68no—
1071D3×D4—616no—
1072D3×D4—616no—
1073D3×D4—68no—
1074D3×D4—68no—
1075D3×D4—128no—
1076#235—68no—
1077C2×D12—34no—
1078C2×D12—34no—
1079C2×D12—32no—
1080C2×D12—34no—
1081C2×D12—64no—
1082C2×D12—124no—
1083C2×C4×D3—34no—
1084C2×C4×D3—32no—
1085C2×C4×D3—32no—
1086C2×C4×D3—34no—
1087C2×C4×D3—64no—
1088C2×Dic6—32no—
1089C3×C4⋊C4—34no—
1090C3×C4⋊C4—94no—
1091C3×C4⋊C4—94no—
1092C3×C4⋊C4C22×C3×D314yes—
1093C3×C22⋊C4—32no—
1094C3×C22⋊C4—32no—
1095C3×C22⋊C4—34no—
1096C3×C22⋊C4—34no—
1097C3×C22⋊C4—94no—
1098C3×C22⋊C4—94no—
1099C3×C22⋊C4—94no—
1100C3×C22⋊C4—94no—
1101C3×C22⋊C4—94no—
1102C3×C22⋊C4—94no—
1103C3×C22⋊C4—92no—
1104C3×C22⋊C4—92no—
1105C3×C22⋊C4—94no—
1106C3×C22⋊C4C22×C3×D312yes—
1107C3×C22⋊C4C22×C3×D314yes—
1108C3×C22⋊C4C22×C3×D312yes—
1109C3×C22⋊C4C22×C3×D314yes—
1110C3×C42—94no—
1111#217—32no—
1112#217—34no—
1113#217—32no—
1114(C2×D3)⋊C4—34no—
1115(C2×D3)⋊C4—34no—
1116(C2×D3)⋊C4—34no—
1117(C2×D3)⋊C4—34no—
1118(C2×D3)⋊C4—34no—
1119(C2×D3)⋊C4—34no—
1120Dic3⋊C4—34no—
1121Dic3⋊C4—34no—
1122C4×Dic3—34no—
1123C22×C32—22no—
1124C22×C32—22no—
1125C22×C32—22no—
1126C22×C32—22no—
1127C22×C32—22no—
1128C22×C32—24no—
1129C22×C32—24no—
1130C22×C32—44no—
1131C22×C32—44no—
1132C22×C32—82no—
1133C22×C32C2×D3×D412yes—
1134C22×C32C2×D3×D412yes—
1135C22×C32C2×D3×D412yes—
1136C22×C32C24×D311yescharacteristic
1137C2×C3×D3—34no—
1138C2×C3×D3—34no—
1139C2×C3×D3—68no—
1140C2×C3×D3—62no—
1141C2×C3×D3—64no—
1142C2×C3×D3—62no—
1143C2×C3×D3—62no—
1144C2×C3×D3—62no—
1145C2×C3×D3—64no—
1146C2×C3×D3—62no—
1147C2×C3×D3—62no—
1148C2×C3×D3—124no—
1149C2×C3×D3—1216no—
1150C2×C3×D3—128no—
1151C2×C3×D3—128no—
1152C2×C3×D3—124no—
1153C2×C3×D3—244no—
1154C2×C3×D3—242no—
1155C32×C4—22no—
1156C32×C4—22no—
1157C32×C4—24no—
1158C3×Dic3—34no—
1159C3×Dic3—62no—
1160C3×Dic3—64no—
1161C22×C9—22no—
1162C22×C9—22no—
1163C22×C9—22no—
1164C22×C9—22no—
1165C22×C9—22no—
1166C22×C9—24no—
1167C22×C9—24no—
1168C22×C9—22no—
1169C22×C9—22no—
1170C22×C9—22no—
1171C22×C9—21no—
1172C22×C9—42no—
1173C22×C9—42no—
1174C22×C9—42no—
1175C22×C9—42no—
1176C22×C9—42no—
1177C22×C9—44no—
1178C22×C9—44no—
1179C22×C9—44no—
1180C22×C9—44no—
1181C22×C9—84no—
1182C22×C9—84no—
1183C22×C9—82no—
1184C22×C9—84no—
1185C22×C9C22×C3×D412yes—
1186C22×C9C22×C3×D412yes—
1187C22×C9C22×C3×D412yes—
1188C22×C9C25×C311yescharacteristic
1189C2×D9—28no—
1190C2×D9—22no—
1191C2×D9—24no—
1192C2×D9—22no—
1193C2×D9—22no—
1194C2×D9—22no—
1195C2×D9—24no—
1196C2×D9—22no—
1197C2×D9—22no—
1198C2×D9—44no—
1199C2×D9—416no—
1200C2×D9—48no—
1201C2×D9—48no—
1202C2×D9—44no—
1203C2×D9—84no—
1204C2×D9—82no—
1205C2×D9C22×C3×D414yes—
1206C2×D9C3×H(5,𝔽2)14yescomplemented
1207C4×C9—22no—
1208C4×C9—22no—
1209C4×C9—24no—
1210C4×C9—42no—
1211C4×C9—42no—
1212C4×C9—44no—
1213Dic9—22no—
1214Dic9—24no—
1215Dic9C22×C3×D414yes—
1216C25—91no—
1217C25—91no—
1218H(5,𝔽2)—188no—
1219C2×#41—92no—
1220C2×#41—92no—
1221C2×#41—92no—
1222C22×D4—91no—
1223C22×D4—91no—
1224C22×D4—91no—
1225C22×D4—92no—
1226C22×D4—92no—
1227C22×D4—92no—
1228C22×D4—94no—
1229C22×D4—94no—
1230C22×D4—92no—
1231C22×D4—94no—
1232C22×D4—91no—
1233C22×D4—92no—
1234C22×D4—188no—
1235C22×D4C2×AGL(1,ℤ/9)11yescharacteristic, complemented
1236C22×D4C2×AGL(1,ℤ/9)11yescharacteristic, complemented
1237C23×C4—91no—
1238#127—94no—
1239#124—94no—
1240#123—92no—
1241#123—92no—
1242#123—94no—
1243#123C2×AGL(1,ℤ/9)12yescomplemented
1244#123C2×AGL(1,ℤ/9)12yescomplemented
1245C22⋊Q8—94no—
1246#121—94no—
1247#121—94no—
1248#121—94no—
1249#121—94no—
1250#121—94no—
1251#121—94no—
1252#121C2×AGL(1,ℤ/9)14yescomplemented
1253#120—92no—
1254#120—92no—
1255#120—92no—
1256#120—92no—
1257#120—94no—
1258#120—94no—
1259#120—92no—
1260#120—92no—
1261#120—94no—
1262#120—94no—
1263#120—94no—
1264#120C2×AGL(1,ℤ/9)12yescomplemented
1265#120C2×AGL(1,ℤ/9)12yescomplemented
1266C4×D4—94no—
1267C4×D4—94no—
1268C4×D4—94no—
1269C4×D4—94no—
1270#117—92no—
1271C2×C22⋊C4—91no—
1272C2×C22⋊C4—92no—
1273C2×C22⋊C4—92no—
1274C2×C22⋊C4—92no—
1275C2×C22⋊C4—94no—
1276C2×C22⋊C4C2×AGL(1,ℤ/9)11yescharacteristic, complemented
12773−1+2#348411yescharacteristic, complemented, Sylow
1278C23×C3—22no—
1279C23×C3—22no—
1280C23×C3—31no—
1281C23×C3—31no—
1282C23×C3—31no—
1283C23×C3—32no—
1284C23×C3—32no—
1285C23×C3—34no—
1286C23×C3—42no—
1287C23×C3—42no—
1288C23×C3—42no—
1289C23×C3—62no—
1290C23×C3—62no—
1291C23×C3—92no—
1292C23×C3—92no—
1293C23×C3—94no—
1294C23×C3—92no—
1295C23×C3—92no—
1296C23×C3—122no—
1297C23×C3—122no—
1298C23×C3—122no—
1299C23×C3—182no—
1300C23×C3—182no—
1301C23×C3—184no—
1302C23×C3—184no—
1303C23×C3—182no—
1304C23×C3—184no—
1305C23×C3—188no—
1306C23×C3—184no—
1307C23×C3—184no—
1308C23×C3—188no—
1309C23×C3—184no—
1310C23×C3—362no—
1311C23×C3—362no—
1312C23×C3—362no—
1313C23×C3—362no—
1314C23×C3—364no—
1315C23×C3—362no—
1316C23×C3—364no—
1317C23×C3—3616no—
1318C23×C3—3616no—
1319C23×C3C3×D3×D414yes—
1320C23×C3C23×C3×D312yes—
1321C23×C3C23×C3×D312yes—
1322C23×C3C23×C3×D311yescharacteristic
1323C23×C3C23×C3×D311yescharacteristic
1324C23×C3C23×C3×D311yescharacteristic
1325C22×D3—32no—
1326C22×D3—32no—
1327C22×D3—34no—
1328C22×D3—32no—
1329C22×D3—32no—
1330C22×D3—64no—
1331C22×D3—64no—
1332C22×D3—68no—
1333C22×D3—68no—
1334C22×D3—64no—
1335C22×D3—64no—
1336C22×D3—62no—
1337C22×D3—62no—
1338C22×D3—64no—
1339C22×D3—64no—
1340C22×D3—62no—
1341C22×D3—122no—
1342C22×D3—124no—
1343C22×D3—122no—
1344C22×D3—122no—
1345C22×D3—122no—
1346C22×D3—122no—
1347C22×D3—124no—
1348C22×D3—1216no—
1349C22×D3—1216no—
1350C3×Q8—184no—
1351C3×D4—24no—
1352C3×D4—24no—
1353C3×D4—24no—
1354C3×D4—24no—
1355C3×D4—44no—
1356C3×D4—64no—
1357C3×D4—64no—
1358C3×D4—64no—
1359C3×D4—64no—
1360C3×D4—98no—
1361C3×D4—98no—
1362C3×D4—124no—
1363C3×D4—188no—
1364C3×D4—184no—
1365C3×D4—188no—
1366C3×D4—188no—
1367C3×D4—184no—
1368C3×D4—184no—
1369C3×D4—184no—
1370C3×D4—184no—
1371C3×D4—188no—
1372C3×D4—364no—
1373C3×D4—364no—
1374C3×D4—364no—
1375C2×C3×C4—22no—
1376C2×C3×C4—22no—
1377C2×C3×C4—34no—
1378C2×C3×C4—32no—
1379C2×C3×C4—32no—
1380C2×C3×C4—42no—
1381C2×C3×C4—62no—
1382C2×C3×C4—62no—
1383C2×C3×C4—92no—
1384C2×C3×C4—94no—
1385C2×C3×C4—94no—
1386C2×C3×C4—92no—
1387C2×C3×C4—122no—
1388C2×C3×C4—188no—
1389C2×C3×C4—184no—
1390C2×C3×C4—184no—
1391C2×C3×C4—184no—
1392C2×C3×C4—182no—
1393C2×C3×C4—364no—
1394C2×C3×C4—362no—
1395C2×C3×C4C23×C3×D314yes—
1396C2×C3×C4C23×C3×D312yes—
1397C2×C3×C4C23×C3×D312yes—
1398#67—38no—
1399#67—38no—
1400#67—68no—
1401#67—64no—
1402#67—64no—
1403#67—68no—
1404#67—64no—
1405#67—64no—
1406#67—124no—
1407#67—124no—
1408C2×Dic3—34no—
1409C2×Dic3—32no—
1410C2×Dic3—34no—
1411C2×Dic3—32no—
1412C2×Dic3—64no—
1413C2×Dic3—62no—
1414C2×Dic3—122no—
1415D12—68no—
1416D12—68no—
1417D12—64no—
1418D12—124no—
1419C4×D3—68no—
1420C4×D3—64no—
1421C4×D3—64no—
1422C4×D3—124no—
1423Dic6—64no—
1424C2×C32—22no—
1425C2×C32—22no—
1426C2×C32—22no—
1427C2×C32—42no—
1428C2×C32—42no—
1429C2×C32C22×D3×D411yescharacteristic
1430C2×C32D3×H(5,𝔽2)12yes—
1431C3×D3—64no—
1432C3×D3—64no—
1433C3×D3—122no—
1434C3×D3—122no—
1435C2×C9—22no—
1436C2×C9—22no—
1437C2×C9—22no—
1438C2×C9—21no—
1439C2×C9—22no—
1440C2×C9—42no—
1441C2×C9—42no—
1442C2×C9—42no—
1443C2×C9—42no—
1444C2×C9—42no—
1445C2×C9—82no—
1446C2×C9—82no—
1447C2×C9C23×C3×D411yescharacteristic
1448C2×C9C2×C3×H(5,𝔽2)12yes—
1449D9—24no—
1450D9—24no—
1451D9—42no—
1452D9—42no—
1453C24—91no—
1454C24—91no—
1455C24—94no—
1456C24—92no—
1457C24—92no—
1458C24—91no—
1459C24—92no—
1460C24—91no—
1461C24—184no—
1462C24—184no—
1463C24—364no—
1464C24—364no—
1465C24C22×AGL(1,ℤ/9)11yescharacteristic
1466C24C22×AGL(1,ℤ/9)11yescharacteristic
1467C24C22×AGL(1,ℤ/9)11yescharacteristic, complemented
1468#41—188no—
1469#41—188no—
1470#41—188no—
1471C2×Q8—92no—
1472C2×D4—24no—
1473C2×D4—24no—
1474C2×D4—92no—
1475C2×D4—92no—
1476C2×D4—98no—
1477C2×D4—94no—
1478C2×D4—92no—
1479C2×D4—92no—
1480C2×D4—92no—
1481C2×D4—94no—
1482C2×D4—92no—
1483C2×D4—94no—
1484C2×D4—94no—
1485C2×D4—94no—
1486C2×D4—92no—
1487C2×D4—94no—
1488C2×D4—94no—
1489C2×D4—184no—
1490C2×D4—184no—
1491C2×D4—1816no—
1492C2×D4—1816no—
1493C2×D4—188no—
1494C2×D4—188no—
1495C2×D4—188no—
1496C2×D4—184no—
1497C2×D4—364no—
1498C2×D4—368no—
1499C2×D4—364no—
1500C2×D4C22×AGL(1,ℤ/9)12yes—
1501C2×D4C22×AGL(1,ℤ/9)12yes—
1502C2×D4C22×AGL(1,ℤ/9)12yes—
1503C2×D4C22×AGL(1,ℤ/9)12yescomplemented
1504C2×D4C22×AGL(1,ℤ/9)14yescomplemented
1505C22×C4—91no—
1506C22×C4—91no—
1507C22×C4—92no—
1508C22×C4—92no—
1509C22×C4—92no—
1510C22×C4—92no—
1511C22×C4—94no—
1512C22×C4—94no—
1513C22×C4—184no—
1514C22×C4C22×AGL(1,ℤ/9)11yescharacteristic
1515C22×C4C22×AGL(1,ℤ/9)11yescharacteristic, complemented
1516C22×C4C22×AGL(1,ℤ/9)12yescomplemented
1517C4⋊C4—94no—
1518C4⋊C4—94no—
1519C4⋊C4C22×AGL(1,ℤ/9)14yescomplemented
1520C22⋊C4—92no—
1521C22⋊C4—92no—
1522C22⋊C4—94no—
1523C22⋊C4—94no—
1524C22⋊C4—94no—
1525C22⋊C4—94no—
1526C22⋊C4—94no—
1527C22⋊C4—94no—
1528C22⋊C4—94no—
1529C22⋊C4C22×AGL(1,ℤ/9)12yes—
1530C22⋊C4C22×AGL(1,ℤ/9)14yescomplemented
1531C22⋊C4C22×AGL(1,ℤ/9)12yescomplemented
1532C22⋊C4C22×AGL(1,ℤ/9)14yescomplemented
1533C42—94no—
1534C22×C3—22no—
1535C22×C3—22no—
1536C22×C3—22no—
1537C22×C3—22no—
1538C22×C3—22no—
1539C22×C3—24no—
1540C22×C3—24no—
1541C22×C3—31no—
1542C22×C3—32no—
1543C22×C3—32no—
1544C22×C3—32no—
1545C22×C3—44no—
1546C22×C3—44no—
1547C22×C3—62no—
1548C22×C3—62no—
1549C22×C3—62no—
1550C22×C3—62no—
1551C22×C3—62no—
1552C22×C3—64no—
1553C22×C3—64no—
1554C22×C3—82no—
1555C22×C3—94no—
1556C22×C3—94no—
1557C22×C3—124no—
1558C22×C3—124no—
1559C22×C3—182no—
1560C22×C3—184no—
1561C22×C3—182no—
1562C22×C3—182no—
1563C22×C3—182no—
1564C22×C3—184no—
1565C22×C3—182no—
1566C22×C3—182no—
1567C22×C3—188no—
1568C22×C3—242no—
1569C22×C3—364no—
1570C22×C3—368no—
1571C22×C3—368no—
1572C22×C3—364no—
1573C22×C3—3616no—
1574C22×C3—722no—
1575C22×C3—724no—
1576C22×C3C2×C3×D3×D412yes—
1577C22×C3C2×C3×D3×D412yes—
1578C22×C3C2×C3×D3×D412yes—
1579C22×C3C24×C3×D311yescharacteristic
1580C2×D3—34no—
1581C2×D3—34no—
1582C2×D3—68no—
1583C2×D3—62no—
1584C2×D3—64no—
1585C2×D3—62no—
1586C2×D3—62no—
1587C2×D3—62no—
1588C2×D3—64no—
1589C2×D3—62no—
1590C2×D3—62no—
1591C2×D3—124no—
1592C2×D3—1216no—
1593C2×D3—128no—
1594C2×D3—128no—
1595C2×D3—124no—
1596C2×D3—244no—
1597C2×D3—242no—
1598C3×C4—22no—
1599C3×C4—22no—
1600C3×C4—24no—
1601C3×C4—62no—
1602C3×C4—62no—
1603C3×C4—64no—
1604C3×C4—94no—
1605C3×C4—182no—
1606C3×C4—184no—
1607Dic3—34no—
1608Dic3—62no—
1609Dic3—64no—
1610C32#8630811yescharacteristic
1611C9—21no—
1612C9C3×#348411yescharacteristic, complemented
1613C23—22no—
1614C23—22no—
1615C23—42no—
1616C23—42no—
1617C23—42no—
1618C23—92no—
1619C23—92no—
1620C23—94no—
1621C23—92no—
1622C23—92no—
1623C23—184no—
1624C23—188no—
1625C23—184no—
1626C23—184no—
1627C23—188no—
1628C23—184no—
1629C23—182no—
1630C23—184no—
1631C23—184no—
1632C23—182no—
1633C23—182no—
1634C23—362no—
1635C23—362no—
1636C23—362no—
1637C23—362no—
1638C23—364no—
1639C23—362no—
1640C23—364no—
1641C23—3616no—
1642C23—3616no—
1643C23D4×AGL(1,ℤ/9)14yescomplemented
1644C23C23×AGL(1,ℤ/9)12yes—
1645C23C23×AGL(1,ℤ/9)12yes—
1646C23C23×AGL(1,ℤ/9)11yescharacteristic
1647C23C23×AGL(1,ℤ/9)11yescharacteristic
1648C23C23×AGL(1,ℤ/9)11yescharacteristic
1649Q8—184no—
1650D4—24no—
1651D4—24no—
1652D4—24no—
1653D4—24no—
1654D4—44no—
1655D4—98no—
1656D4—98no—
1657D4—188no—
1658D4—184no—
1659D4—188no—
1660D4—188no—
1661D4—184no—
1662D4—184no—
1663D4—188no—
1664D4—184no—
1665D4—184no—
1666D4—364no—
1667D4—364no—
1668D4—364no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—42no—
1672C2×C4—92no—
1673C2×C4—94no—
1674C2×C4—94no—
1675C2×C4—92no—
1676C2×C4—188no—
1677C2×C4—184no—
1678C2×C4—184no—
1679C2×C4—184no—
1680C2×C4—182no—
1681C2×C4—364no—
1682C2×C4—362no—
1683C2×C4C23×AGL(1,ℤ/9)14yes—
1684C2×C4C23×AGL(1,ℤ/9)12yes—
1685C2×C4C23×AGL(1,ℤ/9)12yes—
1686C2×C3—22no—
1687C2×C3—22no—
1688C2×C3—22no—
1689C2×C3—31no—
1690C2×C3—32no—
1691C2×C3—42no—
1692C2×C3—42no—
1693C2×C3—62no—
1694C2×C3—62no—
1695C2×C3—62no—
1696C2×C3—122no—
1697C2×C3—122no—
1698C2×C3—184no—
1699C2×C3—184no—
1700C2×C3—362no—
1701C2×C3—362no—
1702C2×C3C22×C3×D3×D411yescharacteristic
1703C2×C3C3×D3×H(5,𝔽2)12yes—
1704D3—64no—
1705D3—64no—
1706D3—122no—
1707D3—122no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—24no—
1714C22—24no—
1715C22—44no—
1716C22—44no—
1717C22—82no—
1718C22—94no—
1719C22—94no—
1720C22—188no—
1721C22—182no—
1722C22—184no—
1723C22—182no—
1724C22—182no—
1725C22—182no—
1726C22—184no—
1727C22—182no—
1728C22—182no—
1729C22—364no—
1730C22—368no—
1731C22—368no—
1732C22—364no—
1733C22—3616no—
1734C22—722no—
1735C22—724no—
1736C22C2×D4×AGL(1,ℤ/9)12yes—
1737C22C2×D4×AGL(1,ℤ/9)12yes—
1738C22C2×D4×AGL(1,ℤ/9)12yes—
1739C22C24×AGL(1,ℤ/9)11yescharacteristic
1740C4—22no—
1741C4—22no—
1742C4—24no—
1743C4—94no—
1744C4—182no—
1745C4—184no—
1746C3—31no—
1747C3C3×#8630811yescharacteristic
1748C2—22no—
1749C2—22no—
1750C2—22no—
1751C2—42no—
1752C2—42no—
1753C2—184no—
1754C2—184no—
1755C2—362no—
1756C2—362no—
1757C2C22×D4×AGL(1,ℤ/9)11yescharacteristic
1758C2H(5,𝔽2)×AGL(1,ℤ/9)12yes—
subgroupG/H
centerC22C24×AGL(1,ℤ/9)
commutator, cosocleC22×C9C25×C3
Frattini, socleC22×C3C24×C3×D3
Fitting3−1+2×#534C2
hypercenter#534AGL(1,ℤ/9)
hypocenterC9C3×#3484
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C22 ◁ #534

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#63710⋊C3C2semidirect
2. C22×D4×AGL(1,ℤ/9)C2semidirect
3. 3−1+2×#534C2semidirect
4. #10589906⋊C3C2semidirect
5. C2×#63499⋊C3C2semidirect
6. #10589756⋊C3C2semidirect
7. #10589755⋊C3C2semidirect
8. #10589758⋊C3C2semidirect
9. #10589712⋊C3C2semidirect
10. #10589711⋊C3C2semidirect
11. #10589692⋊C3C2semidirect
12. #120×AGL(1,ℤ/9)C2semidirect
13. #10589694⋊C3C2semidirect
14. C2×#63444⋊C3C2semidirect
15. #10589588⋊C3C2semidirect
17. #11904279C3semidirect
18. C24×AGL(1,ℤ/9)C22semidirect
19. C24×AGL(1,ℤ/9)C22semidirect
20. C22×D4×3−1+2C22semidirect
21. C22×D4×3−1+2C22semidirect
23. C22×#611⋊C3C22semidirect
24. C22×#611⋊C3C22semidirect
25. C22×#611⋊C3C22semidirect
26. C22×#611⋊C3C22semidirect
28. C2×#3699⋊C3C22semidirect
29. C2×#3699⋊C3C22semidirect
31. C2×D4×AGL(1,ℤ/9)C22semidirect
32. C2×D4×AGL(1,ℤ/9)C22semidirect
33. C2×D4×AGL(1,ℤ/9)C22semidirect
34. C2×D4×AGL(1,ℤ/9)C22semidirect
35. C2×D4×AGL(1,ℤ/9)C22semidirect
36. C2×#3697⋊C3C22semidirect
37. C22×C4⋊AGL(1,ℤ/9)C22semidirect
38. C22×C4⋊AGL(1,ℤ/9)C22semidirect
39. C22×C4×AGL(1,ℤ/9)C22semidirect
40. 3−1+2×#123C22semidirect
41. 3−1+2×#123C22semidirect
42. 3−1+2×#121C22semidirect
43. 3−1+2×#120C22semidirect
44. 3−1+2×#120C22semidirect
45. C2×C22⋊C4×3−1+2C22semidirect
46. #11721704C22semidirect
47. C2×#3676⋊C3C22semidirect
48. #63502⋊C3C22semidirect
49. #63501⋊C3C22semidirect
50. #63501⋊C3C22semidirect
51. #63499⋊C3C22semidirect
52. #63499⋊C3C22semidirect
53. #63499⋊C3C22semidirect
54. #63499⋊C3C22semidirect
55. #63499⋊C3C22semidirect
56. #63497⋊C3C22semidirect
57. #63491⋊C3C22semidirect
58. C4×#611⋊C3C22semidirect
59. C2×(C2×AGL(1,ℤ/9))⋊C4C22semidirect
60. C2×(C2×AGL(1,ℤ/9))⋊C4C22semidirect
61. #63458⋊C3C22semidirect
62. #63457⋊C3C22semidirect
63. #63456⋊C3C22semidirect
64. #63455⋊C3C22semidirect
65. #63447⋊C3C22semidirect
66. #63446⋊C3C22semidirect
67. #63446⋊C3C22semidirect
68. #63446⋊C3C22semidirect
69. #63444⋊C3C22semidirect
70. #63444⋊C3C22semidirect
71. #63444⋊C3C22semidirect
72. #63444⋊C3C22semidirect
73. #63444⋊C3C22semidirect
74. (#611⋊C3)⋊C4C22semidirect
75. (#611⋊C3)⋊C4C22semidirect
76. C22⋊C4×AGL(1,ℤ/9)C22semidirect
77. C22⋊C4×AGL(1,ℤ/9)C22semidirect
78. #63439⋊C3C22semidirect
94. C2×#63710C2×C3semidirect
95. C22×D4×D9C2×C3semidirect
97. C9×#534C2×C3semidirect
98. #10589906C2×C3semidirect
99. C2×#63499C2×C3semidirect
100. #10589758C2×C3semidirect
101. #10589756C2×C3semidirect
102. #10589755C2×C3semidirect
103. #10589712C2×C3semidirect
104. #10589711C2×C3semidirect
105. #10589694C2×C3semidirect
106. #10589692C2×C3semidirect
107. D9×#120C2×C3semidirect
108. C2×#63444C2×C3semidirect
109. #10589588C2×C3semidirect
112. C24×3−1+2C23semidirect
123. C23×AGL(1,ℤ/9)C23semidirect
124. C23×AGL(1,ℤ/9)C23semidirect
130. C2×D4×3−1+2C23semidirect
131. C2×D4×3−1+2C23semidirect
133. C22×C4×3−1+2C23semidirect
134. C22×C4×3−1+2C23semidirect
139. C2×#611⋊C3D4semidirect
145. C2×#611⋊C3C23semidirect
146. C2×#611⋊C3C23semidirect
147. C2×#611⋊C3C23semidirect
148. C2×#611⋊C3C23semidirect
149. C2×#611⋊C3C23semidirect
151. C22×3−1+2⋊C4C23semidirect
152. C22×3−1+2⋊C4C23semidirect
153. C22×3−1+2⋊C4C23semidirect
166. C2×C4⋊AGL(1,ℤ/9)C23semidirect
167. C2×C4⋊AGL(1,ℤ/9)C23semidirect
170. C2×C4×AGL(1,ℤ/9)C23semidirect
171. C2×C4×AGL(1,ℤ/9)C23semidirect
172. C2×C4×AGL(1,ℤ/9)C23semidirect
173. C2×3−1+2⋊Q8C23semidirect
174. C4⋊C4×3−1+2C23semidirect
176. C22⋊C4×3−1+2C23semidirect
177. C22⋊C4×3−1+2C23semidirect
178. C22⋊C4×3−1+2C23semidirect
180. #3676⋊C3C23semidirect
181. #3676⋊C3C23semidirect
184. (C2×AGL(1,ℤ/9))⋊C4C23semidirect
185. (C2×AGL(1,ℤ/9))⋊C4C23semidirect
186. (C2×AGL(1,ℤ/9))⋊C4C23semidirect
187. (C2×AGL(1,ℤ/9))⋊C4C23semidirect
188. (3−1+2⋊C4)⋊C4C23semidirect
189. (3−1+2⋊C4)⋊C4C23semidirect
190. C4×3−1+2⋊C4C23semidirect
215. C24×D9C22×C3semidirect
216. C24×D9C22×C3semidirect
258. C22×D4×C9C22×C3semidirect
259. C22×D4×C9C22×C3semidirect
261. C22×#611C22×C3semidirect
262. C22×#611C22×C3semidirect
263. C22×#611C22×C3semidirect
264. C22×#611C22×C3semidirect
266. C2×#3699C22×C3semidirect
267. C2×#3699C22×C3semidirect
269. C2×D4×D9C22×C3semidirect
270. C2×D4×D9C22×C3semidirect
271. C2×D4×D9C22×C3semidirect
272. C2×D4×D9C22×C3semidirect
273. C2×D4×D9C22×C3semidirect
274. C2×#3697C22×C3semidirect
275. C22×D36C22×C3semidirect
276. C22×D36C22×C3semidirect
277. C22×C4×D9C22×C3semidirect
280. C9×#123C22×C3semidirect
281. C9×#123C22×C3semidirect
283. C9×#121C22×C3semidirect
286. C9×#120C22×C3semidirect
287. C9×#120C22×C3semidirect
289. C2×C9×C22⋊C4C22×C3semidirect
290. #63515C22×C3semidirect
291. C2×#3676C22×C3semidirect
292. #63502C22×C3semidirect
293. #63501C22×C3semidirect
294. #63501C22×C3semidirect
295. #63499C22×C3semidirect
296. #63499C22×C3semidirect
297. #63499C22×C3semidirect
298. #63499C22×C3semidirect
299. #63499C22×C3semidirect
300. #63497C22×C3semidirect
301. #63491C22×C3semidirect
302. C4×#611C22×C3semidirect
303. C2×(C2×D9)⋊C4C22×C3semidirect
304. C2×(C2×D9)⋊C4C22×C3semidirect
305. #63458C22×C3semidirect
306. #63457C22×C3semidirect
307. #63456C22×C3semidirect
308. #63455C22×C3semidirect
309. #63447C22×C3semidirect
310. #63446C22×C3semidirect
311. #63446C22×C3semidirect
312. #63446C22×C3semidirect
313. #63444C22×C3semidirect
314. #63444C22×C3semidirect
315. #63444C22×C3semidirect
316. #63444C22×C3semidirect
317. #63444C22×C3semidirect
318. #611⋊C4C22×C3semidirect
319. #611⋊C4C22×C3semidirect
320. C22⋊C4×D9C22×C3semidirect
321. C22⋊C4×D9C22×C3semidirect
322. #63439C22×C3semidirect
328. C23×3−1+2C2×D4semidirect
354. C22×AGL(1,ℤ/9)C2×D4semidirect
378. #611⋊C3C2×D4semidirect
379. #611⋊C3C2×D4semidirect
383. C2×3−1+2⋊C4C2×D4semidirect
495. C24×C9C23×C3semidirect
506. C23×D9C23×C3semidirect
507. C23×D9C23×C3semidirect
537. C2×D4×C9C23×C3semidirect
538. C2×D4×C9C23×C3semidirect
543. C22×C4×C9C23×C3semidirect
544. C22×C4×C9C23×C3semidirect
549. C2×#611C3×D4semidirect
555. C2×#611C23×C3semidirect
556. C2×#611C23×C3semidirect
557. C2×#611C23×C3semidirect
558. C2×#611C23×C3semidirect
559. C2×#611C23×C3semidirect
561. C22×Dic9C23×C3semidirect
562. C22×Dic9C23×C3semidirect
563. C22×Dic9C23×C3semidirect
576. C2×D36C23×C3semidirect
577. C2×D36C23×C3semidirect
580. C2×C4×D9C23×C3semidirect
581. C2×C4×D9C23×C3semidirect
582. C2×C4×D9C23×C3semidirect
583. C2×Dic18C23×C3semidirect
585. C9×C4⋊C4C23×C3semidirect
591. C9×C22⋊C4C23×C3semidirect
592. C9×C22⋊C4C23×C3semidirect
593. C9×C22⋊C4C23×C3semidirect
595. #3676C23×C3semidirect
596. #3676C23×C3semidirect
599. (C2×D9)⋊C4C23×C3semidirect
600. (C2×D9)⋊C4C23×C3semidirect
601. (C2×D9)⋊C4C23×C3semidirect
602. (C2×D9)⋊C4C23×C3semidirect
603. Dic9⋊C4C23×C3semidirect
604. Dic9⋊C4C23×C3semidirect
605. C4×Dic9C23×C3semidirect
638. C2×AGL(1,ℤ/9)H(5,𝔽2)semidirect
856. C23×C9C2×C3×D4semidirect
882. C22×D9C2×C3×D4semidirect
917. #611C2×C3×D4semidirect
918. #611C2×C3×D4semidirect
922. C2×Dic9C2×C3×D4semidirect
944. #534AGL(1,ℤ/9)semidirect
1206. C2×D9C3×H(5,𝔽2)semidirect
1235. C22×D4C2×AGL(1,ℤ/9)semidirect
1236. C22×D4C2×AGL(1,ℤ/9)semidirect
1243. #123C2×AGL(1,ℤ/9)semidirect
1244. #123C2×AGL(1,ℤ/9)semidirect
1252. #121C2×AGL(1,ℤ/9)semidirect
1264. #120C2×AGL(1,ℤ/9)semidirect
1265. #120C2×AGL(1,ℤ/9)semidirect
1276. C2×C22⋊C4C2×AGL(1,ℤ/9)semidirect
1277. 3−1+2#3484semidirect
1467. C24C22×AGL(1,ℤ/9)semidirect
1503. C2×D4C22×AGL(1,ℤ/9)semidirect
1504. C2×D4C22×AGL(1,ℤ/9)semidirect
1515. C22×C4C22×AGL(1,ℤ/9)semidirect
1516. C22×C4C22×AGL(1,ℤ/9)semidirect
1519. C4⋊C4C22×AGL(1,ℤ/9)semidirect
1530. C22⋊C4C22×AGL(1,ℤ/9)semidirect
1531. C22⋊C4C22×AGL(1,ℤ/9)semidirect
1532. C22⋊C4C22×AGL(1,ℤ/9)semidirect
1612. C9C3×#3484semidirect
1643. C23D4×AGL(1,ℤ/9)semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#63710⋊C32
C22×D4×AGL(1,ℤ/9)2
3−1+2×#5342
#10589906⋊C32
C2×#63499⋊C32
#10589756⋊C32
#10589755⋊C32
#10589758⋊C32
#10589712⋊C32
#10589711⋊C32
#10589692⋊C32
#120×AGL(1,ℤ/9)2
#10589694⋊C32
C2×#63444⋊C32
#10589588⋊C32
C3×#863083
#119042793