Finite Group Databasebeta

← C2×C32×#4183 #72269277

Subgroups — C2×C32×#4183 #72269277

Order 2916.

2392 conjugacy classes of subgroups.

The subgroup lattice has 2120 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#4183C212yesmaximal, direct product factor
2C2×C32×AΣL(1,𝔽27)C211yesmaximal, characteristic, complemented
3C2×C33×C3⋊D3—31nomaximal
4C2×C32×AGL(1,ℤ/9)—31nomaximal
5C2×C32×AGL(1,ℤ/9)—31nomaximal
6C2×C32×(C3⋊D3)⋊C3—31nomaximal
7C2×C3×#4183C311yesmaximal, characteristic, direct product factor
8C2×C3×#4183C311yesmaximal, characteristic, direct product factor
9C2×C3×#4183C311yesmaximal, characteristic, direct product factor
10C2×C3×#4183C311yesmaximal, characteristic, direct product factor
11C32×AΣL(1,𝔽27)C2211yescharacteristic, complemented, Sylow
12C2×C35D311yescharacteristic, complemented
13C33×C3⋊D3—32no—
14C2×C32×3−1+2D311yescharacteristic, complemented
15C2×C32×3−1+2D311yescharacteristic, complemented
16C2×C32×H(3,𝔽3)D311yescharacteristic, complemented
17C32×AGL(1,ℤ/9)—32no—
18C32×AGL(1,ℤ/9)—32no—
19C32×(C3⋊D3)⋊C3—32no—
20C2×C3×AΣL(1,𝔽27)—21no—
21C2×C3×AΣL(1,𝔽27)—21no—
22C2×C3×AΣL(1,𝔽27)—21no—
23C2×C3×AΣL(1,𝔽27)—21no—
24C2×C3×AΣL(1,𝔽27)—21no—
25C2×C3×AΣL(1,𝔽27)—21no—
26C2×C3×AΣL(1,𝔽27)—21no—
27C2×C3×AΣL(1,𝔽27)—21no—
28C2×C3×AΣL(1,𝔽27)—21no—
29C2×C3×AΣL(1,𝔽27)—21no—
30C2×C3×AΣL(1,𝔽27)—21no—
31C2×C3×AΣL(1,𝔽27)—21no—
32C2×C3×AΣL(1,𝔽27)—21no—
33C2×C3×AΣL(1,𝔽27)—21no—
34C2×C3×AΣL(1,𝔽27)—21no—
35C2×C3×AΣL(1,𝔽27)—21no—
36C2×C3×AΣL(1,𝔽27)C2×C311yescharacteristic, complemented
37C2×C3×AΣL(1,𝔽27)C2×C311yescharacteristic, complemented
38C2×C3×AΣL(1,𝔽27)C2×C311yescharacteristic, complemented
39C2×C3×AΣL(1,𝔽27)C2×C311yescharacteristic, complemented
40C3×#4183C2×C312yesdirect product factor
41C3×#4183C2×C312yesdirect product factor
42C3×#4183C2×C312yesdirect product factor
43C3×#4183C2×C312yesdirect product factor
44C2×C32×C3⋊D3—31no—
45C2×C32×C3⋊D3—31no—
46C2×C32×C3⋊D3—31no—
47C2×C32×C3⋊D3—31no—
48C2×C32×C3⋊D3—31no—
49C2×C32×C3⋊D3—31no—
50C2×C32×C3⋊D3—31no—
51C2×C32×C3⋊D3—31no—
52C2×C32×C3⋊D3—31no—
53C2×C32×C3⋊D3—31no—
54C2×C32×C3⋊D3—31no—
55C2×C32×C3⋊D3—31no—
56C2×C32×C3⋊D3—31no—
57C2×C32×C3⋊D3—31no—
58C2×C33×D3—91no—
59C2×C33×D3—91no—
60C2×C33×D3—91no—
61C2×C33×D3—91no—
62C2×C3×AGL(1,ℤ/9)—31no—
63C2×C3×AGL(1,ℤ/9)—31no—
64C2×C3×AGL(1,ℤ/9)—31no—
65C2×C3×AGL(1,ℤ/9)—31no—
66C2×C3×AGL(1,ℤ/9)—31no—
67C2×C3×AGL(1,ℤ/9)—31no—
68C2×C3×AGL(1,ℤ/9)—31no—
69C2×C3×AGL(1,ℤ/9)—31no—
70C2×C3×AGL(1,ℤ/9)—31no—
71C2×C3×AGL(1,ℤ/9)—31no—
72C2×C3×AGL(1,ℤ/9)—31no—
73C2×C3×AGL(1,ℤ/9)—31no—
74C2×C3×AGL(1,ℤ/9)—31no—
75C2×C3×AGL(1,ℤ/9)—31no—
76C2×C3×AGL(1,ℤ/9)—31no—
77C2×C3×AGL(1,ℤ/9)—31no—
78C2×C3×AGL(1,ℤ/9)—31no—
79C2×C3×AGL(1,ℤ/9)—31no—
80C2×C3×AGL(1,ℤ/9)—31no—
81C2×C3×AGL(1,ℤ/9)—31no—
82C2×C3×AGL(1,ℤ/9)—31no—
83C2×C3×AGL(1,ℤ/9)—31no—
84C2×C3×AGL(1,ℤ/9)—31no—
85C2×C3×AGL(1,ℤ/9)—31no—
86C2×C3×(C3⋊D3)⋊C3—31no—
87C2×C3×(C3⋊D3)⋊C3—31no—
88C2×C3×(C3⋊D3)⋊C3—31no—
89C2×C3×(C3⋊D3)⋊C3—31no—
90C2×C3×(C3⋊D3)⋊C3—31no—
91C2×C3×(C3⋊D3)⋊C3—31no—
92C2×C3×(C3⋊D3)⋊C3—31no—
93C2×C3×(C3⋊D3)⋊C3—31no—
94C2×C3×(C3⋊D3)⋊C3—31no—
95C2×C3×(C3⋊D3)⋊C3—31no—
96C2×C3×(C3⋊D3)⋊C3—31no—
97C2×C3×(C3⋊D3)⋊C3—31no—
98C2×C32×D9—31no—
99C2×C32×D9—31no—
100C2×#4183C3211yescharacteristic, direct product factor
101C35C2×D311yescharacteristic, complemented
102C32×3−1+2C2×D311yescharacteristic, complemented
103C32×3−1+2C2×D311yescharacteristic, complemented
104C32×H(3,𝔽3)C2×D311yescharacteristic, complemented
105C3×AΣL(1,𝔽27)—21no—
106C3×AΣL(1,𝔽27)—21no—
107C3×AΣL(1,𝔽27)—21no—
108C3×AΣL(1,𝔽27)—21no—
109C3×AΣL(1,𝔽27)—21no—
110C3×AΣL(1,𝔽27)—21no—
111C3×AΣL(1,𝔽27)—21no—
112C3×AΣL(1,𝔽27)—21no—
113C3×AΣL(1,𝔽27)—21no—
114C3×AΣL(1,𝔽27)—21no—
115C3×AΣL(1,𝔽27)—21no—
116C3×AΣL(1,𝔽27)—21no—
117C3×AΣL(1,𝔽27)—21no—
118C3×AΣL(1,𝔽27)—21no—
119C3×AΣL(1,𝔽27)—21no—
120C3×AΣL(1,𝔽27)—21no—
121C3×AΣL(1,𝔽27)C22×C311yescharacteristic, complemented
122C3×AΣL(1,𝔽27)C22×C311yescharacteristic, complemented
123C3×AΣL(1,𝔽27)C22×C311yescharacteristic, complemented
124C3×AΣL(1,𝔽27)C22×C311yescharacteristic, complemented
125C2×C34—21no—
126C2×C34—21no—
127C2×C34—21no—
128C2×C34—21no—
129C2×C34—31no—
130C2×C34—31no—
131C2×C34—31no—
132C2×C34—31no—
133C2×C34—31no—
134C2×C34—61no—
135C2×C34—61no—
136C2×C34—61no—
137C2×C34—61no—
138C2×C34—61no—
139C2×C34—61no—
140C2×C34—61no—
141C2×C34—61no—
142C2×C34—61no—
143C2×C34—61no—
144C2×C34—61no—
145C2×C34—61no—
146C2×C34—61no—
147C2×C34—61no—
148C2×C34—61no—
149C2×C34—61no—
150C2×C34—61no—
151C2×C34—61no—
152C2×C34—61no—
153C2×C34—61no—
154C2×C34C3×D311yescharacteristic, complemented
155C2×C34C3×D311yescharacteristic, complemented
156C2×C34C3×D311yescharacteristic, complemented
157C2×C34C3×D311yescharacteristic, complemented
158C2×C34C3⋊D311yescharacteristic
159C32×C3⋊D3—32no—
160C32×C3⋊D3—32no—
161C32×C3⋊D3—32no—
162C32×C3⋊D3—32no—
163C32×C3⋊D3—32no—
164C32×C3⋊D3—32no—
165C32×C3⋊D3—32no—
166C32×C3⋊D3—32no—
167C32×C3⋊D3—32no—
168C32×C3⋊D3—32no—
169C32×C3⋊D3—32no—
170C32×C3⋊D3—32no—
171C32×C3⋊D3—32no—
172C32×C3⋊D3—32no—
173C33×D3—92no—
174C33×D3—92no—
175C33×D3—92no—
176C33×D3—92no—
177C2×C3×3−1+2—21no—
178C2×C3×3−1+2—21no—
179C2×C3×3−1+2—21no—
180C2×C3×3−1+2—21no—
181C2×C3×3−1+2—21no—
182C2×C3×3−1+2—21no—
183C2×C3×3−1+2—21no—
184C2×C3×3−1+2—21no—
185C2×C3×3−1+2—31no—
186C2×C3×3−1+2—31no—
187C2×C3×3−1+2—31no—
188C2×C3×3−1+2—31no—
189C2×C3×3−1+2—31no—
190C2×C3×3−1+2—31no—
191C2×C3×3−1+2—61no—
192C2×C3×3−1+2—61no—
193C2×C3×3−1+2—61no—
194C2×C3×3−1+2—61no—
195C2×C3×3−1+2—61no—
196C2×C3×3−1+2—61no—
197C2×C3×3−1+2—61no—
198C2×C3×3−1+2—61no—
199C2×C3×3−1+2—61no—
200C2×C3×3−1+2—61no—
201C2×C3×3−1+2C3×D311yescharacteristic, complemented
202C2×C3×3−1+2C3×D311yescharacteristic, complemented
203C2×C3×3−1+2C3×D311yescharacteristic, complemented
204C2×C3×3−1+2C3×D311yescharacteristic, complemented
205C2×C3×3−1+2C3×D311yescharacteristic, complemented
206C2×C3×3−1+2C3×D311yescharacteristic, complemented
207C2×C3×3−1+2C3×D311yescharacteristic, complemented
208C2×C3×3−1+2C3×D311yescharacteristic, complemented
209C2×C3×H(3,𝔽3)—21no—
210C2×C3×H(3,𝔽3)—21no—
211C2×C3×H(3,𝔽3)—21no—
212C2×C3×H(3,𝔽3)—21no—
213C2×C3×H(3,𝔽3)—31no—
214C2×C3×H(3,𝔽3)—31no—
215C2×C3×H(3,𝔽3)—61no—
216C2×C3×H(3,𝔽3)—61no—
217C2×C3×H(3,𝔽3)—61no—
218C2×C3×H(3,𝔽3)—61no—
219C2×C3×H(3,𝔽3)—61no—
220C2×C3×H(3,𝔽3)—61no—
221C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
222C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
223C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
224C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
225C2×C32×C9—31no—
226C2×C32×C9—61no—
227C3×AGL(1,ℤ/9)—32no—
228C3×AGL(1,ℤ/9)—32no—
229C3×AGL(1,ℤ/9)—32no—
230C3×AGL(1,ℤ/9)—32no—
231C3×AGL(1,ℤ/9)—32no—
232C3×AGL(1,ℤ/9)—32no—
233C3×AGL(1,ℤ/9)—32no—
234C3×AGL(1,ℤ/9)—32no—
235C3×AGL(1,ℤ/9)—32no—
236C3×AGL(1,ℤ/9)—32no—
237C3×AGL(1,ℤ/9)—32no—
238C3×AGL(1,ℤ/9)—32no—
239C3×AGL(1,ℤ/9)—32no—
240C3×AGL(1,ℤ/9)—32no—
241C3×AGL(1,ℤ/9)—32no—
242C3×AGL(1,ℤ/9)—32no—
243C3×AGL(1,ℤ/9)—32no—
244C3×AGL(1,ℤ/9)—32no—
245C3×AGL(1,ℤ/9)—32no—
246C3×AGL(1,ℤ/9)—32no—
247C3×AGL(1,ℤ/9)—32no—
248C3×AGL(1,ℤ/9)—32no—
249C3×AGL(1,ℤ/9)—32no—
250C3×AGL(1,ℤ/9)—32no—
251C3×(C3⋊D3)⋊C3—32no—
252C3×(C3⋊D3)⋊C3—32no—
253C3×(C3⋊D3)⋊C3—32no—
254C3×(C3⋊D3)⋊C3—32no—
255C3×(C3⋊D3)⋊C3—32no—
256C3×(C3⋊D3)⋊C3—32no—
257C3×(C3⋊D3)⋊C3—32no—
258C3×(C3⋊D3)⋊C3—32no—
259C3×(C3⋊D3)⋊C3—32no—
260C3×(C3⋊D3)⋊C3—32no—
261C3×(C3⋊D3)⋊C3—32no—
262C3×(C3⋊D3)⋊C3—32no—
263C32×D9—32no—
264C32×D9—32no—
265C2×AΣL(1,𝔽27)—21no—
266C2×AΣL(1,𝔽27)—21no—
267C2×AΣL(1,𝔽27)—21no—
268C2×AΣL(1,𝔽27)—21no—
269C2×AΣL(1,𝔽27)—21no—
270C2×AΣL(1,𝔽27)—21no—
271C2×AΣL(1,𝔽27)—21no—
272C2×AΣL(1,𝔽27)—21no—
273C2×AΣL(1,𝔽27)—21no—
274C2×AΣL(1,𝔽27)—21no—
275C2×AΣL(1,𝔽27)—21no—
276C2×AΣL(1,𝔽27)—21no—
277C2×AΣL(1,𝔽27)—21no—
278C2×AΣL(1,𝔽27)—21no—
279C2×AΣL(1,𝔽27)—21no—
280C2×AΣL(1,𝔽27)—21no—
281C2×AΣL(1,𝔽27)—21no—
282C2×AΣL(1,𝔽27)—21no—
283C2×AΣL(1,𝔽27)—21no—
284C2×AΣL(1,𝔽27)—21no—
285C2×AΣL(1,𝔽27)—21no—
286C2×AΣL(1,𝔽27)—21no—
287C2×AΣL(1,𝔽27)—21no—
288C2×AΣL(1,𝔽27)—21no—
289C2×AΣL(1,𝔽27)—21no—
290C2×AΣL(1,𝔽27)—21no—
291C2×AΣL(1,𝔽27)—21no—
292C2×AΣL(1,𝔽27)—21no—
293C2×AΣL(1,𝔽27)—21no—
294C2×AΣL(1,𝔽27)—21no—
295C2×AΣL(1,𝔽27)—21no—
296C2×AΣL(1,𝔽27)—21no—
297C2×AΣL(1,𝔽27)—21no—
298C2×AΣL(1,𝔽27)—21no—
299C2×AΣL(1,𝔽27)—21no—
300C2×AΣL(1,𝔽27)—21no—
301C2×AΣL(1,𝔽27)—21no—
302C2×AΣL(1,𝔽27)—21no—
303C2×AΣL(1,𝔽27)—21no—
304C2×AΣL(1,𝔽27)—21no—
305C2×AΣL(1,𝔽27)C2×C3211yescharacteristic, complemented
306#4183C2×C3212yesdirect product factor
307C22×C33—271no—
308C2×C3×C3⋊D3—31no—
309C2×C3×C3⋊D3—31no—
310C2×C3×C3⋊D3—31no—
311C2×C3×C3⋊D3—31no—
312C2×C3×C3⋊D3—31no—
313C2×C3×C3⋊D3—31no—
314C2×C3×C3⋊D3—31no—
315C2×C3×C3⋊D3—31no—
316C2×C3×C3⋊D3—31no—
317C2×C3×C3⋊D3—31no—
318C2×C3×C3⋊D3—31no—
319C2×C3×C3⋊D3—31no—
320C2×C3×C3⋊D3—31no—
321C2×C3×C3⋊D3—31no—
322C2×C3×C3⋊D3—31no—
323C2×C3×C3⋊D3—31no—
324C2×C3×C3⋊D3—31no—
325C2×C32×D3—91no—
326C2×C32×D3—91no—
327C2×C32×D3—91no—
328C2×C32×D3—91no—
329C2×C32×D3—91no—
330C2×C32×D3—91no—
331C2×C32×D3—91no—
332C2×C32×D3—91no—
333C2×C32×D3—91no—
334C2×C32×D3—91no—
335C2×C32×D3—91no—
336C2×C32×D3—91no—
337C2×C32×D3—91no—
338C2×C32×D3—91no—
339C2×C32×D3—91no—
340C2×C32×D3—91no—
341C2×C32×D3—91no—
342C2×C32×D3—91no—
343C2×C32×D3—91no—
344C2×C32×D3—91no—
345C2×C32×D3—91no—
346C2×C32×D3—91no—
347C2×C32×D3—91no—
348C2×C32×D3—91no—
349C2×C32×D3—91no—
350C2×C32×D3—91no—
351C2×C32×D3—91no—
352C2×C32×D3—91no—
353C2×C32×D3—91no—
354C2×C32×D3—91no—
355C2×C32×D3—91no—
356C2×C32×D3—91no—
357C2×C32×D3—91no—
358C2×C32×D3—91no—
359C2×C32×D3—91no—
360C2×C32×D3—91no—
361C2×C32×D3—91no—
362C2×C32×D3—91no—
363C2×C32×D3—91no—
364C2×C32×D3—91no—
365C2×C32×D3—91no—
366C2×C32×D3—91no—
367C2×C32×D3—91no—
368C2×C32×D3—91no—
369C2×C32×D3—91no—
370C2×C32×D3—91no—
371C2×C32×D3—91no—
372C2×C32×D3—91no—
373C2×C32×D3—91no—
374C2×C32×D3—91no—
375C2×C32×D3—91no—
376C2×C32×D3—91no—
377C2×C32×D3—271no—
378C2×AGL(1,ℤ/9)—31no—
379C2×AGL(1,ℤ/9)—31no—
380C2×AGL(1,ℤ/9)—31no—
381C2×AGL(1,ℤ/9)—31no—
382C2×AGL(1,ℤ/9)—31no—
383C2×AGL(1,ℤ/9)—31no—
384C2×AGL(1,ℤ/9)—31no—
385C2×AGL(1,ℤ/9)—31no—
386C2×AGL(1,ℤ/9)—31no—
387C2×AGL(1,ℤ/9)—31no—
388C2×AGL(1,ℤ/9)—31no—
389C2×AGL(1,ℤ/9)—31no—
390C2×AGL(1,ℤ/9)—31no—
391C2×AGL(1,ℤ/9)—31no—
392C2×AGL(1,ℤ/9)—31no—
393C2×AGL(1,ℤ/9)—31no—
394C2×AGL(1,ℤ/9)—31no—
395C2×AGL(1,ℤ/9)—31no—
396C2×(C3⋊D3)⋊C3—31no—
397C2×(C3⋊D3)⋊C3—31no—
398C2×(C3⋊D3)⋊C3—31no—
399C2×(C3⋊D3)⋊C3—31no—
400C2×(C3⋊D3)⋊C3—31no—
401C2×(C3⋊D3)⋊C3—31no—
402C2×(C3⋊D3)⋊C3—31no—
403C2×(C3⋊D3)⋊C3—31no—
404C2×(C3⋊D3)⋊C3—31no—
405C2×C3×D9—31no—
406C2×C3×D9—31no—
407C2×C3×D9—31no—
408C2×C3×D9—31no—
409C2×C3×D9—31no—
410C2×C3×D9—31no—
411C2×C3×D9—31no—
412C2×C3×D9—31no—
413C34—21no—
414C34—21no—
415C34—21no—
416C34—21no—
417C34—31no—
418C34—31no—
419C34—31no—
420C34—31no—
421C34—31no—
422C34—61no—
423C34—61no—
424C34—61no—
425C34—61no—
426C34—61no—
427C34—61no—
428C34—61no—
429C34—61no—
430C34—61no—
431C34—61no—
432C34—61no—
433C34—61no—
434C34—61no—
435C34—61no—
436C34—61no—
437C34—61no—
438C34—61no—
439C34—61no—
440C34—61no—
441C34—61no—
442C34C2×C3×D311yescharacteristic, complemented
443C34C2×C3×D311yescharacteristic, complemented
444C34C2×C3×D311yescharacteristic, complemented
445C34C2×C3×D311yescharacteristic, complemented
446C34C2×C3⋊D311yescharacteristic
447C3×3−1+2—21no—
448C3×3−1+2—21no—
449C3×3−1+2—21no—
450C3×3−1+2—21no—
451C3×3−1+2—21no—
452C3×3−1+2—21no—
453C3×3−1+2—21no—
454C3×3−1+2—21no—
455C3×3−1+2—31no—
456C3×3−1+2—31no—
457C3×3−1+2—31no—
458C3×3−1+2—31no—
459C3×3−1+2—31no—
460C3×3−1+2—31no—
461C3×3−1+2—61no—
462C3×3−1+2—61no—
463C3×3−1+2—61no—
464C3×3−1+2—61no—
465C3×3−1+2—61no—
466C3×3−1+2—61no—
467C3×3−1+2—61no—
468C3×3−1+2—61no—
469C3×3−1+2—61no—
470C3×3−1+2—61no—
471C3×3−1+2C2×C3×D311yescharacteristic, complemented
472C3×3−1+2C2×C3×D311yescharacteristic, complemented
473C3×3−1+2C2×C3×D311yescharacteristic, complemented
474C3×3−1+2C2×C3×D311yescharacteristic, complemented
475C3×3−1+2C2×C3×D311yescharacteristic, complemented
476C3×3−1+2C2×C3×D311yescharacteristic, complemented
477C3×3−1+2C2×C3×D311yescharacteristic, complemented
478C3×3−1+2C2×C3×D311yescharacteristic, complemented
479C3×H(3,𝔽3)—21no—
480C3×H(3,𝔽3)—21no—
481C3×H(3,𝔽3)—21no—
482C3×H(3,𝔽3)—21no—
483C3×H(3,𝔽3)—31no—
484C3×H(3,𝔽3)—31no—
485C3×H(3,𝔽3)—61no—
486C3×H(3,𝔽3)—61no—
487C3×H(3,𝔽3)—61no—
488C3×H(3,𝔽3)—61no—
489C3×H(3,𝔽3)—61no—
490C3×H(3,𝔽3)—61no—
491C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
492C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
493C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
494C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
495C32×C9—31no—
496C32×C9—61no—
497AΣL(1,𝔽27)—21no—
498AΣL(1,𝔽27)—21no—
499AΣL(1,𝔽27)—21no—
500AΣL(1,𝔽27)—21no—
501AΣL(1,𝔽27)—21no—
502AΣL(1,𝔽27)—21no—
503AΣL(1,𝔽27)—21no—
504AΣL(1,𝔽27)—21no—
505AΣL(1,𝔽27)—21no—
506AΣL(1,𝔽27)—21no—
507AΣL(1,𝔽27)—21no—
508AΣL(1,𝔽27)—21no—
509AΣL(1,𝔽27)—21no—
510AΣL(1,𝔽27)—21no—
511AΣL(1,𝔽27)—21no—
512AΣL(1,𝔽27)—21no—
513AΣL(1,𝔽27)—21no—
514AΣL(1,𝔽27)—21no—
515AΣL(1,𝔽27)—21no—
516AΣL(1,𝔽27)—21no—
517AΣL(1,𝔽27)—21no—
518AΣL(1,𝔽27)—21no—
519AΣL(1,𝔽27)—21no—
520AΣL(1,𝔽27)—21no—
521AΣL(1,𝔽27)—21no—
522AΣL(1,𝔽27)—21no—
523AΣL(1,𝔽27)—21no—
524AΣL(1,𝔽27)—21no—
525AΣL(1,𝔽27)—21no—
526AΣL(1,𝔽27)—21no—
527AΣL(1,𝔽27)—21no—
528AΣL(1,𝔽27)—21no—
529AΣL(1,𝔽27)—21no—
530AΣL(1,𝔽27)—21no—
531AΣL(1,𝔽27)—21no—
532AΣL(1,𝔽27)—21no—
533AΣL(1,𝔽27)—21no—
534AΣL(1,𝔽27)—21no—
535AΣL(1,𝔽27)—21no—
536AΣL(1,𝔽27)—21no—
537AΣL(1,𝔽27)C22×C3211yescharacteristic, complemented
538C2×C33—21no—
539C2×C33—21no—
540C2×C33—21no—
541C2×C33—21no—
542C2×C33—31no—
543C2×C33—31no—
544C2×C33—31no—
545C2×C33—31no—
546C2×C33—31no—
547C2×C33—31no—
548C2×C33—31no—
549C2×C33—31no—
550C2×C33—31no—
551C2×C33—31no—
552C2×C33—31no—
553C2×C33—31no—
554C2×C33—31no—
555C2×C33—31no—
556C2×C33—31no—
557C2×C33—31no—
558C2×C33—31no—
559C2×C33—31no—
560C2×C33—31no—
561C2×C33—31no—
562C2×C33—31no—
563C2×C33—31no—
564C2×C33—61no—
565C2×C33—61no—
566C2×C33—61no—
567C2×C33—61no—
568C2×C33—61no—
569C2×C33—61no—
570C2×C33—61no—
571C2×C33—61no—
572C2×C33—61no—
573C2×C33—61no—
574C2×C33—61no—
575C2×C33—61no—
576C2×C33—61no—
577C2×C33—61no—
578C2×C33—61no—
579C2×C33—61no—
580C2×C33—61no—
581C2×C33—61no—
582C2×C33—61no—
583C2×C33—61no—
584C2×C33—61no—
585C2×C33—61no—
586C2×C33—61no—
587C2×C33—61no—
588C2×C33—61no—
589C2×C33—61no—
590C2×C33—61no—
591C2×C33—61no—
592C2×C33—61no—
593C2×C33—61no—
594C2×C33—61no—
595C2×C33—61no—
596C2×C33—61no—
597C2×C33—61no—
598C2×C33—61no—
599C2×C33—61no—
600C2×C33—61no—
601C2×C33—61no—
602C2×C33—61no—
603C2×C33—61no—
604C2×C33—61no—
605C2×C33—61no—
606C2×C33—61no—
607C2×C33—61no—
608C2×C33—61no—
609C2×C33—61no—
610C2×C33—61no—
611C2×C33—61no—
612C2×C33—61no—
613C2×C33—61no—
614C2×C33—61no—
615C2×C33—61no—
616C2×C33—61no—
617C2×C33—61no—
618C2×C33—61no—
619C2×C33—61no—
620C2×C33—61no—
621C2×C33—61no—
622C2×C33—61no—
623C2×C33—61no—
624C2×C33—61no—
625C2×C33—61no—
626C2×C33—61no—
627C2×C33—61no—
628C2×C33—61no—
629C2×C33—61no—
630C2×C33—61no—
631C2×C33—61no—
632C2×C33—61no—
633C2×C33—61no—
634C2×C33—61no—
635C2×C33—61no—
636C2×C33—61no—
637C2×C33—61no—
638C2×C33—61no—
639C2×C33—61no—
640C2×C33—61no—
641C2×C33—61no—
642C2×C33—61no—
643C2×C33—61no—
644C2×C33—61no—
645C2×C33—61no—
646C2×C33—61no—
647C2×C33—61no—
648C2×C33—61no—
649C2×C33—61no—
650C2×C33—61no—
651C2×C33—61no—
652C2×C33—61no—
653C2×C33—61no—
654C2×C33—61no—
655C2×C33—61no—
656C2×C33—61no—
657C2×C33—61no—
658C2×C33—61no—
659C2×C33—61no—
660C2×C33—61no—
661C2×C33—61no—
662C2×C33—61no—
663C2×C33—61no—
664C2×C33—61no—
665C2×C33—61no—
666C2×C33—61no—
667C2×C33—61no—
668C2×C33—61no—
669C2×C33—61no—
670C2×C33—61no—
671C2×C33—61no—
672C2×C33—61no—
673C2×C33—61no—
674C2×C33—61no—
675C2×C33—61no—
676C2×C33—61no—
677C2×C33—61no—
678C2×C33—61no—
679C2×C33—61no—
680C2×C33—61no—
681C2×C33—61no—
682C2×C33—61no—
683C2×C33—61no—
684C2×C33—61no—
685C2×C33—61no—
686C2×C33—61no—
687C2×C33—61no—
688C2×C33—61no—
689C2×C33—61no—
690C2×C33—61no—
691C2×C33—61no—
692C2×C33—61no—
693C2×C33—61no—
694C2×C33—61no—
695C2×C33—61no—
696C2×C33—61no—
697C2×C33—61no—
698C2×C33—61no—
699C2×C33—61no—
700C2×C33—61no—
701C2×C33—61no—
702C2×C33—61no—
703C2×C33—61no—
704C2×C33—61no—
705C2×C33—61no—
706C2×C33—61no—
707C2×C33—61no—
708C2×C33—61no—
709C2×C33—61no—
710C2×C33—61no—
711C2×C33—61no—
712C2×C33—61no—
713C2×C33—61no—
714C2×C33—61no—
715C2×C33—61no—
716C2×C33—61no—
717C2×C33—61no—
718C2×C33—61no—
719C2×C33—61no—
720C2×C33—61no—
721C2×C33—61no—
722C2×C33—61no—
723C2×C33—61no—
724C2×C33—61no—
725C2×C33—61no—
726C2×C33—61no—
727C2×C33—61no—
728C2×C33—61no—
729C2×C33—61no—
730C2×C33—61no—
731C2×C33—61no—
732C2×C33—61no—
733C2×C33—61no—
734C2×C33—61no—
735C2×C33—61no—
736C2×C33—61no—
737C2×C33—61no—
738C2×C33—61no—
739C2×C33—61no—
740C2×C33—61no—
741C2×C33—61no—
742C2×C33—61no—
743C2×C33—61no—
744C2×C33—61no—
745C2×C33—61no—
746C2×C33—61no—
747C2×C33—61no—
748C2×C33—61no—
749C2×C33—61no—
750C2×C33—61no—
751C2×C33—61no—
752C2×C33—61no—
753C2×C33—61no—
754C2×C33—61no—
755C2×C33—61no—
756C2×C33—61no—
757C2×C33—61no—
758C2×C33—61no—
759C2×C33—61no—
760C2×C33—61no—
761C2×C33—61no—
762C2×C33—61no—
763C2×C33—61no—
764C2×C33—61no—
765C2×C33—61no—
766C2×C33—61no—
767C2×C33—61no—
768C2×C33—61no—
769C2×C33—61no—
770C2×C33—61no—
771C2×C33—61no—
772C2×C33—61no—
773C2×C33—61no—
774C2×C33—181no—
775C2×C33—181no—
776C2×C33—181no—
777C2×C33—181no—
778C2×C33—181no—
779C2×C33—272no—
780C2×C33#27211yescharacteristic
781C2×C33#27211yescharacteristic
782C2×C33#27211yescharacteristic
783C2×C33#27211yescharacteristic
784C2×C33#27211yescharacteristic
785C2×C33#27211yescharacteristic
786C2×C33#27211yescharacteristic
787C2×C33#27211yescharacteristic
788C2×C33#27211yescharacteristic
789C2×C33C32×D311yescharacteristic, complemented
790C2×C33C3×C3⋊D311yescharacteristic
791C2×C33C3×C3⋊D311yescharacteristic
792C2×C33C3×C3⋊D311yescharacteristic
793C2×C33C3×C3⋊D311yescharacteristic
794C3×C3⋊D3—32no—
795C3×C3⋊D3—32no—
796C3×C3⋊D3—32no—
797C3×C3⋊D3—32no—
798C3×C3⋊D3—32no—
799C3×C3⋊D3—32no—
800C3×C3⋊D3—32no—
801C3×C3⋊D3—32no—
802C3×C3⋊D3—32no—
803C3×C3⋊D3—32no—
804C3×C3⋊D3—32no—
805C3×C3⋊D3—32no—
806C3×C3⋊D3—32no—
807C3×C3⋊D3—32no—
808C3×C3⋊D3—32no—
809C3×C3⋊D3—32no—
810C3×C3⋊D3—32no—
811C32×D3—92no—
812C32×D3—92no—
813C32×D3—92no—
814C32×D3—92no—
815C32×D3—92no—
816C32×D3—92no—
817C32×D3—92no—
818C32×D3—92no—
819C32×D3—92no—
820C32×D3—92no—
821C32×D3—92no—
822C32×D3—92no—
823C32×D3—92no—
824C32×D3—92no—
825C32×D3—92no—
826C32×D3—92no—
827C32×D3—92no—
828C32×D3—92no—
829C32×D3—92no—
830C32×D3—92no—
831C32×D3—92no—
832C32×D3—92no—
833C32×D3—92no—
834C32×D3—92no—
835C32×D3—92no—
836C32×D3—92no—
837C32×D3—92no—
838C32×D3—92no—
839C32×D3—92no—
840C32×D3—92no—
841C32×D3—92no—
842C32×D3—92no—
843C32×D3—92no—
844C32×D3—92no—
845C32×D3—92no—
846C32×D3—92no—
847C32×D3—92no—
848C32×D3—92no—
849C32×D3—92no—
850C32×D3—92no—
851C32×D3—92no—
852C32×D3—92no—
853C32×D3—92no—
854C32×D3—92no—
855C32×D3—92no—
856C32×D3—92no—
857C32×D3—92no—
858C32×D3—92no—
859C32×D3—92no—
860C32×D3—92no—
861C32×D3—92no—
862C32×D3—92no—
863C32×D3—272no—
864C2×3−1+2—21no—
865C2×3−1+2—21no—
866C2×3−1+2—21no—
867C2×3−1+2—21no—
868C2×3−1+2—21no—
869C2×3−1+2—21no—
870C2×3−1+2—21no—
871C2×3−1+2—21no—
872C2×3−1+2—31no—
873C2×3−1+2—31no—
874C2×3−1+2—31no—
875C2×3−1+2—61no—
876C2×3−1+2—61no—
877C2×3−1+2—61no—
878C2×3−1+2—61no—
879C2×3−1+2—61no—
880C2×3−1+2—61no—
881C2×3−1+2—61no—
882C2×3−1+2—61no—
883C2×3−1+2—61no—
884C2×3−1+2—61no—
885C2×3−1+2—61no—
886C2×3−1+2—61no—
887C2×3−1+2—61no—
888C2×3−1+2—61no—
889C2×3−1+2—61no—
890C2×3−1+2—61no—
891C2×3−1+2—61no—
892C2×3−1+2—61no—
893C2×3−1+2—61no—
894C2×3−1+2—61no—
895C2×3−1+2—61no—
896C2×3−1+2—61no—
897C2×3−1+2—61no—
898C2×3−1+2—61no—
899C2×3−1+2—61no—
900C2×3−1+2—61no—
901C2×3−1+2—61no—
902C2×3−1+2—61no—
903C2×3−1+2—61no—
904C2×3−1+2C32×D311yescharacteristic, complemented
905C2×3−1+2C32×D311yescharacteristic, complemented
906C2×H(3,𝔽3)—21no—
907C2×H(3,𝔽3)—21no—
908C2×H(3,𝔽3)—21no—
909C2×H(3,𝔽3)—21no—
910C2×H(3,𝔽3)—31no—
911C2×H(3,𝔽3)—31no—
912C2×H(3,𝔽3)—61no—
913C2×H(3,𝔽3)—61no—
914C2×H(3,𝔽3)—61no—
915C2×H(3,𝔽3)—61no—
916C2×H(3,𝔽3)—61no—
917C2×H(3,𝔽3)—61no—
918C2×H(3,𝔽3)—61no—
919C2×H(3,𝔽3)—61no—
920C2×H(3,𝔽3)—61no—
921C2×H(3,𝔽3)—61no—
922C2×H(3,𝔽3)—61no—
923C2×H(3,𝔽3)—61no—
924C2×H(3,𝔽3)—61no—
925C2×H(3,𝔽3)—61no—
926C2×H(3,𝔽3)C32×D311yescharacteristic, complemented
927C2×C3×C9—31no—
928C2×C3×C9—61no—
929C2×C3×C9—61no—
930C2×C3×C9—61no—
931C2×C3×C9—61no—
932C2×C3×C9—61no—
933C2×C3×C9—61no—
934C2×C3×C9—61no—
935C2×C3×C9—61no—
936C2×C3×C9—61no—
937C2×C3×C9—61no—
938C2×C3×C9—61no—
939C2×C3×C9—61no—
940C2×C3×C9—61no—
941C2×C3×C9—61no—
942C2×C3×C9—61no—
943AGL(1,ℤ/9)—32no—
944AGL(1,ℤ/9)—32no—
945AGL(1,ℤ/9)—32no—
946AGL(1,ℤ/9)—32no—
947AGL(1,ℤ/9)—32no—
948AGL(1,ℤ/9)—32no—
949AGL(1,ℤ/9)—32no—
950AGL(1,ℤ/9)—32no—
951AGL(1,ℤ/9)—32no—
952AGL(1,ℤ/9)—32no—
953AGL(1,ℤ/9)—32no—
954AGL(1,ℤ/9)—32no—
955AGL(1,ℤ/9)—32no—
956AGL(1,ℤ/9)—32no—
957AGL(1,ℤ/9)—32no—
958AGL(1,ℤ/9)—32no—
959AGL(1,ℤ/9)—32no—
960AGL(1,ℤ/9)—32no—
961(C3⋊D3)⋊C3—32no—
962(C3⋊D3)⋊C3—32no—
963(C3⋊D3)⋊C3—32no—
964(C3⋊D3)⋊C3—32no—
965(C3⋊D3)⋊C3—32no—
966(C3⋊D3)⋊C3—32no—
967(C3⋊D3)⋊C3—32no—
968(C3⋊D3)⋊C3—32no—
969(C3⋊D3)⋊C3—32no—
970C3×D9—32no—
971C3×D9—32no—
972C3×D9—32no—
973C3×D9—32no—
974C3×D9—32no—
975C3×D9—32no—
976C3×D9—32no—
977C3×D9—32no—
978C22×C32—271no—
979C22×C32—271no—
980C22×C32—271no—
981C22×C32—271no—
982C22×C32—271no—
983C22×C32—271no—
984C22×C32—271no—
985C22×C32—271no—
986C22×C32—271no—
987C22×C32—271no—
988C22×C32—271no—
989C22×C32—271no—
990C22×C32—271no—
991C2×C3⋊D3—31no—
992C2×C3⋊D3—31no—
993C2×C3×D3—91no—
994C2×C3×D3—91no—
995C2×C3×D3—91no—
996C2×C3×D3—91no—
997C2×C3×D3—91no—
998C2×C3×D3—91no—
999C2×C3×D3—91no—
1000C2×C3×D3—91no—
1001C2×C3×D3—91no—
1002C2×C3×D3—91no—
1003C2×C3×D3—91no—
1004C2×C3×D3—91no—
1005C2×C3×D3—91no—
1006C2×C3×D3—91no—
1007C2×C3×D3—91no—
1008C2×C3×D3—91no—
1009C2×C3×D3—91no—
1010C2×C3×D3—91no—
1011C2×C3×D3—91no—
1012C2×C3×D3—91no—
1013C2×C3×D3—91no—
1014C2×C3×D3—91no—
1015C2×C3×D3—91no—
1016C2×C3×D3—91no—
1017C2×C3×D3—91no—
1018C2×C3×D3—91no—
1019C2×C3×D3—91no—
1020C2×C3×D3—91no—
1021C2×C3×D3—91no—
1022C2×C3×D3—91no—
1023C2×C3×D3—91no—
1024C2×C3×D3—91no—
1025C2×C3×D3—91no—
1026C2×C3×D3—91no—
1027C2×C3×D3—91no—
1028C2×C3×D3—91no—
1029C2×C3×D3—91no—
1030C2×C3×D3—91no—
1031C2×C3×D3—91no—
1032C2×C3×D3—91no—
1033C2×C3×D3—91no—
1034C2×C3×D3—91no—
1035C2×C3×D3—91no—
1036C2×C3×D3—91no—
1037C2×C3×D3—91no—
1038C2×C3×D3—91no—
1039C2×C3×D3—91no—
1040C2×C3×D3—91no—
1041C2×C3×D3—91no—
1042C2×C3×D3—91no—
1043C2×C3×D3—91no—
1044C2×C3×D3—91no—
1045C2×C3×D3—271no—
1046C2×C3×D3—271no—
1047C2×C3×D3—271no—
1048C2×C3×D3—271no—
1049C2×D9—31no—
1050C2×D9—31no—
1051C33—21no—
1052C33—21no—
1053C33—21no—
1054C33—21no—
1055C33—31no—
1056C33—31no—
1057C33—31no—
1058C33—31no—
1059C33—31no—
1060C33—31no—
1061C33—31no—
1062C33—31no—
1063C33—31no—
1064C33—31no—
1065C33—31no—
1066C33—31no—
1067C33—31no—
1068C33—31no—
1069C33—31no—
1070C33—31no—
1071C33—31no—
1072C33—31no—
1073C33—31no—
1074C33—31no—
1075C33—31no—
1076C33—31no—
1077C33—61no—
1078C33—61no—
1079C33—61no—
1080C33—61no—
1081C33—61no—
1082C33—61no—
1083C33—61no—
1084C33—61no—
1085C33—61no—
1086C33—61no—
1087C33—61no—
1088C33—61no—
1089C33—61no—
1090C33—61no—
1091C33—61no—
1092C33—61no—
1093C33—61no—
1094C33—61no—
1095C33—61no—
1096C33—61no—
1097C33—61no—
1098C33—61no—
1099C33—61no—
1100C33—61no—
1101C33—61no—
1102C33—61no—
1103C33—61no—
1104C33—61no—
1105C33—61no—
1106C33—61no—
1107C33—61no—
1108C33—61no—
1109C33—61no—
1110C33—61no—
1111C33—61no—
1112C33—61no—
1113C33—61no—
1114C33—61no—
1115C33—61no—
1116C33—61no—
1117C33—61no—
1118C33—61no—
1119C33—61no—
1120C33—61no—
1121C33—61no—
1122C33—61no—
1123C33—61no—
1124C33—61no—
1125C33—61no—
1126C33—61no—
1127C33—61no—
1128C33—61no—
1129C33—61no—
1130C33—61no—
1131C33—61no—
1132C33—61no—
1133C33—61no—
1134C33—61no—
1135C33—61no—
1136C33—61no—
1137C33—61no—
1138C33—61no—
1139C33—61no—
1140C33—61no—
1141C33—61no—
1142C33—61no—
1143C33—61no—
1144C33—61no—
1145C33—61no—
1146C33—61no—
1147C33—61no—
1148C33—61no—
1149C33—61no—
1150C33—61no—
1151C33—61no—
1152C33—61no—
1153C33—61no—
1154C33—61no—
1155C33—61no—
1156C33—61no—
1157C33—61no—
1158C33—61no—
1159C33—61no—
1160C33—61no—
1161C33—61no—
1162C33—61no—
1163C33—61no—
1164C33—61no—
1165C33—61no—
1166C33—61no—
1167C33—61no—
1168C33—61no—
1169C33—61no—
1170C33—61no—
1171C33—61no—
1172C33—61no—
1173C33—61no—
1174C33—61no—
1175C33—61no—
1176C33—61no—
1177C33—61no—
1178C33—61no—
1179C33—61no—
1180C33—61no—
1181C33—61no—
1182C33—61no—
1183C33—61no—
1184C33—61no—
1185C33—61no—
1186C33—61no—
1187C33—61no—
1188C33—61no—
1189C33—61no—
1190C33—61no—
1191C33—61no—
1192C33—61no—
1193C33—61no—
1194C33—61no—
1195C33—61no—
1196C33—61no—
1197C33—61no—
1198C33—61no—
1199C33—61no—
1200C33—61no—
1201C33—61no—
1202C33—61no—
1203C33—61no—
1204C33—61no—
1205C33—61no—
1206C33—61no—
1207C33—61no—
1208C33—61no—
1209C33—61no—
1210C33—61no—
1211C33—61no—
1212C33—61no—
1213C33—61no—
1214C33—61no—
1215C33—61no—
1216C33—61no—
1217C33—61no—
1218C33—61no—
1219C33—61no—
1220C33—61no—
1221C33—61no—
1222C33—61no—
1223C33—61no—
1224C33—61no—
1225C33—61no—
1226C33—61no—
1227C33—61no—
1228C33—61no—
1229C33—61no—
1230C33—61no—
1231C33—61no—
1232C33—61no—
1233C33—61no—
1234C33—61no—
1235C33—61no—
1236C33—61no—
1237C33—61no—
1238C33—61no—
1239C33—61no—
1240C33—61no—
1241C33—61no—
1242C33—61no—
1243C33—61no—
1244C33—61no—
1245C33—61no—
1246C33—61no—
1247C33—61no—
1248C33—61no—
1249C33—61no—
1250C33—61no—
1251C33—61no—
1252C33—61no—
1253C33—61no—
1254C33—61no—
1255C33—61no—
1256C33—61no—
1257C33—61no—
1258C33—61no—
1259C33—61no—
1260C33—61no—
1261C33—61no—
1262C33—61no—
1263C33—61no—
1264C33—61no—
1265C33—61no—
1266C33—61no—
1267C33—61no—
1268C33—61no—
1269C33—61no—
1270C33—61no—
1271C33—61no—
1272C33—61no—
1273C33—61no—
1274C33—61no—
1275C33—61no—
1276C33—61no—
1277C33—61no—
1278C33—61no—
1279C33—61no—
1280C33—61no—
1281C33—61no—
1282C33—61no—
1283C33—61no—
1284C33—61no—
1285C33—61no—
1286C33—61no—
1287C33—181no—
1288C33—181no—
1289C33—181no—
1290C33—181no—
1291C33—181no—
1292C33C2×#27211yescharacteristic
1293C33C2×#27211yescharacteristic
1294C33C2×#27211yescharacteristic
1295C33C2×#27211yescharacteristic
1296C33C2×#27211yescharacteristic
1297C33C2×#27211yescharacteristic
1298C33C2×#27211yescharacteristic
1299C33C2×#27211yescharacteristic
1300C33C2×#27211yescharacteristic
1301C33C2×C32×D311yescharacteristic, complemented
1302C33C2×C3×C3⋊D311yescharacteristic
1303C33C2×C3×C3⋊D311yescharacteristic
1304C33C2×C3×C3⋊D311yescharacteristic
1305C33C2×C3×C3⋊D311yescharacteristic
13063−1+2—21no—
13073−1+2—21no—
13083−1+2—21no—
13093−1+2—21no—
13103−1+2—21no—
13113−1+2—21no—
13123−1+2—21no—
13133−1+2—21no—
13143−1+2—31no—
13153−1+2—31no—
13163−1+2—31no—
13173−1+2—61no—
13183−1+2—61no—
13193−1+2—61no—
13203−1+2—61no—
13213−1+2—61no—
13223−1+2—61no—
13233−1+2—61no—
13243−1+2—61no—
13253−1+2—61no—
13263−1+2—61no—
13273−1+2—61no—
13283−1+2—61no—
13293−1+2—61no—
13303−1+2—61no—
13313−1+2—61no—
13323−1+2—61no—
13333−1+2—61no—
13343−1+2—61no—
13353−1+2—61no—
13363−1+2—61no—
13373−1+2—61no—
13383−1+2—61no—
13393−1+2—61no—
13403−1+2—61no—
13413−1+2—61no—
13423−1+2—61no—
13433−1+2—61no—
13443−1+2—61no—
13453−1+2—61no—
13463−1+2C2×C32×D311yescharacteristic, complemented
13473−1+2C2×C32×D311yescharacteristic, complemented
1348H(3,𝔽3)—21no—
1349H(3,𝔽3)—21no—
1350H(3,𝔽3)—21no—
1351H(3,𝔽3)—21no—
1352H(3,𝔽3)—31no—
1353H(3,𝔽3)—31no—
1354H(3,𝔽3)—61no—
1355H(3,𝔽3)—61no—
1356H(3,𝔽3)—61no—
1357H(3,𝔽3)—61no—
1358H(3,𝔽3)—61no—
1359H(3,𝔽3)—61no—
1360H(3,𝔽3)—61no—
1361H(3,𝔽3)—61no—
1362H(3,𝔽3)—61no—
1363H(3,𝔽3)—61no—
1364H(3,𝔽3)—61no—
1365H(3,𝔽3)—61no—
1366H(3,𝔽3)—61no—
1367H(3,𝔽3)—61no—
1368H(3,𝔽3)C2×C32×D311yescharacteristic, complemented
1369C3×C9—31no—
1370C3×C9—61no—
1371C3×C9—61no—
1372C3×C9—61no—
1373C3×C9—61no—
1374C3×C9—61no—
1375C3×C9—61no—
1376C3×C9—61no—
1377C3×C9—61no—
1378C3×C9—61no—
1379C3×C9—61no—
1380C3×C9—61no—
1381C3×C9—61no—
1382C3×C9—61no—
1383C3×C9—61no—
1384C3×C9—61no—
1385C2×C32—21no—
1386C2×C32—21no—
1387C2×C32—21no—
1388C2×C32—21no—
1389C2×C32—31no—
1390C2×C32—31no—
1391C2×C32—31no—
1392C2×C32—31no—
1393C2×C32—31no—
1394C2×C32—31no—
1395C2×C32—31no—
1396C2×C32—31no—
1397C2×C32—31no—
1398C2×C32—31no—
1399C2×C32—31no—
1400C2×C32—31no—
1401C2×C32—31no—
1402C2×C32—31no—
1403C2×C32—31no—
1404C2×C32—31no—
1405C2×C32—31no—
1406C2×C32—31no—
1407C2×C32—31no—
1408C2×C32—31no—
1409C2×C32—31no—
1410C2×C32—61no—
1411C2×C32—61no—
1412C2×C32—61no—
1413C2×C32—61no—
1414C2×C32—61no—
1415C2×C32—61no—
1416C2×C32—61no—
1417C2×C32—61no—
1418C2×C32—61no—
1419C2×C32—61no—
1420C2×C32—61no—
1421C2×C32—61no—
1422C2×C32—61no—
1423C2×C32—61no—
1424C2×C32—61no—
1425C2×C32—61no—
1426C2×C32—61no—
1427C2×C32—61no—
1428C2×C32—61no—
1429C2×C32—61no—
1430C2×C32—61no—
1431C2×C32—61no—
1432C2×C32—61no—
1433C2×C32—61no—
1434C2×C32—61no—
1435C2×C32—61no—
1436C2×C32—61no—
1437C2×C32—61no—
1438C2×C32—61no—
1439C2×C32—61no—
1440C2×C32—61no—
1441C2×C32—61no—
1442C2×C32—61no—
1443C2×C32—61no—
1444C2×C32—61no—
1445C2×C32—61no—
1446C2×C32—61no—
1447C2×C32—61no—
1448C2×C32—61no—
1449C2×C32—61no—
1450C2×C32—61no—
1451C2×C32—61no—
1452C2×C32—61no—
1453C2×C32—61no—
1454C2×C32—61no—
1455C2×C32—61no—
1456C2×C32—61no—
1457C2×C32—61no—
1458C2×C32—61no—
1459C2×C32—61no—
1460C2×C32—61no—
1461C2×C32—61no—
1462C2×C32—61no—
1463C2×C32—61no—
1464C2×C32—61no—
1465C2×C32—61no—
1466C2×C32—61no—
1467C2×C32—61no—
1468C2×C32—61no—
1469C2×C32—61no—
1470C2×C32—61no—
1471C2×C32—61no—
1472C2×C32—61no—
1473C2×C32—61no—
1474C2×C32—61no—
1475C2×C32—61no—
1476C2×C32—61no—
1477C2×C32—61no—
1478C2×C32—61no—
1479C2×C32—61no—
1480C2×C32—61no—
1481C2×C32—61no—
1482C2×C32—61no—
1483C2×C32—61no—
1484C2×C32—61no—
1485C2×C32—61no—
1486C2×C32—61no—
1487C2×C32—61no—
1488C2×C32—61no—
1489C2×C32—61no—
1490C2×C32—61no—
1491C2×C32—61no—
1492C2×C32—61no—
1493C2×C32—61no—
1494C2×C32—61no—
1495C2×C32—61no—
1496C2×C32—61no—
1497C2×C32—61no—
1498C2×C32—61no—
1499C2×C32—61no—
1500C2×C32—61no—
1501C2×C32—61no—
1502C2×C32—61no—
1503C2×C32—61no—
1504C2×C32—61no—
1505C2×C32—61no—
1506C2×C32—61no—
1507C2×C32—61no—
1508C2×C32—61no—
1509C2×C32—61no—
1510C2×C32—61no—
1511C2×C32—61no—
1512C2×C32—61no—
1513C2×C32—61no—
1514C2×C32—61no—
1515C2×C32—61no—
1516C2×C32—61no—
1517C2×C32—61no—
1518C2×C32—61no—
1519C2×C32—61no—
1520C2×C32—61no—
1521C2×C32—61no—
1522C2×C32—61no—
1523C2×C32—61no—
1524C2×C32—61no—
1525C2×C32—61no—
1526C2×C32—61no—
1527C2×C32—61no—
1528C2×C32—61no—
1529C2×C32—61no—
1530C2×C32—61no—
1531C2×C32—61no—
1532C2×C32—61no—
1533C2×C32—61no—
1534C2×C32—61no—
1535C2×C32—61no—
1536C2×C32—61no—
1537C2×C32—61no—
1538C2×C32—61no—
1539C2×C32—61no—
1540C2×C32—61no—
1541C2×C32—61no—
1542C2×C32—61no—
1543C2×C32—61no—
1544C2×C32—61no—
1545C2×C32—61no—
1546C2×C32—61no—
1547C2×C32—61no—
1548C2×C32—61no—
1549C2×C32—61no—
1550C2×C32—61no—
1551C2×C32—61no—
1552C2×C32—61no—
1553C2×C32—61no—
1554C2×C32—61no—
1555C2×C32—61no—
1556C2×C32—61no—
1557C2×C32—61no—
1558C2×C32—61no—
1559C2×C32—61no—
1560C2×C32—61no—
1561C2×C32—61no—
1562C2×C32—61no—
1563C2×C32—61no—
1564C2×C32—61no—
1565C2×C32—61no—
1566C2×C32—61no—
1567C2×C32—61no—
1568C2×C32—61no—
1569C2×C32—61no—
1570C2×C32—61no—
1571C2×C32—61no—
1572C2×C32—61no—
1573C2×C32—61no—
1574C2×C32—61no—
1575C2×C32—61no—
1576C2×C32—61no—
1577C2×C32—61no—
1578C2×C32—61no—
1579C2×C32—61no—
1580C2×C32—61no—
1581C2×C32—61no—
1582C2×C32—61no—
1583C2×C32—61no—
1584C2×C32—61no—
1585C2×C32—61no—
1586C2×C32—61no—
1587C2×C32—61no—
1588C2×C32—61no—
1589C2×C32—61no—
1590C2×C32—61no—
1591C2×C32—61no—
1592C2×C32—61no—
1593C2×C32—61no—
1594C2×C32—61no—
1595C2×C32—61no—
1596C2×C32—61no—
1597C2×C32—61no—
1598C2×C32—61no—
1599C2×C32—61no—
1600C2×C32—61no—
1601C2×C32—61no—
1602C2×C32—61no—
1603C2×C32—61no—
1604C2×C32—61no—
1605C2×C32—61no—
1606C2×C32—61no—
1607C2×C32—61no—
1608C2×C32—61no—
1609C2×C32—61no—
1610C2×C32—61no—
1611C2×C32—61no—
1612C2×C32—61no—
1613C2×C32—61no—
1614C2×C32—61no—
1615C2×C32—61no—
1616C2×C32—61no—
1617C2×C32—61no—
1618C2×C32—91no—
1619C2×C32—182no—
1620C2×C32—182no—
1621C2×C32—182no—
1622C2×C32—182no—
1623C2×C32—181no—
1624C2×C32—181no—
1625C2×C32—181no—
1626C2×C32—181no—
1627C2×C32—181no—
1628C2×C32—181no—
1629C2×C32—181no—
1630C2×C32—181no—
1631C2×C32—181no—
1632C2×C32—181no—
1633C2×C32—181no—
1634C2×C32—272no—
1635C2×C32—272no—
1636C2×C32—272no—
1637C2×C32—272no—
1638C2×C32—272no—
1639C2×C32—272no—
1640C2×C32—272no—
1641C2×C32—272no—
1642C2×C32—272no—
1643C2×C32—272no—
1644C2×C32—272no—
1645C2×C32—272no—
1646C2×C32—272no—
1647C2×C32#418311yescharacteristic, direct product factor
1648C2×C32C3×#27211yescharacteristic
1649C2×C32C3×#27211yescharacteristic
1650C2×C32C3×#27211yescharacteristic
1651C2×C32C3×#27211yescharacteristic
1652C2×C32C3×#27211yescharacteristic
1653C2×C32C3×#27211yescharacteristic
1654C2×C32C3×#27211yescharacteristic
1655C2×C32C3×#27211yescharacteristic
1656C2×C32C3×#27211yescharacteristic
1657C2×C32C3×#27211yescharacteristic
1658C2×C32C3×#27211yescharacteristic
1659C2×C32C3×#27211yescharacteristic
1660C2×C32C32×C3⋊D311yescharacteristic
1661C3⋊D3—32no—
1662C3⋊D3—32no—
1663C3×D3—92no—
1664C3×D3—92no—
1665C3×D3—92no—
1666C3×D3—92no—
1667C3×D3—92no—
1668C3×D3—92no—
1669C3×D3—92no—
1670C3×D3—92no—
1671C3×D3—92no—
1672C3×D3—92no—
1673C3×D3—92no—
1674C3×D3—92no—
1675C3×D3—92no—
1676C3×D3—92no—
1677C3×D3—92no—
1678C3×D3—92no—
1679C3×D3—92no—
1680C3×D3—92no—
1681C3×D3—92no—
1682C3×D3—92no—
1683C3×D3—92no—
1684C3×D3—92no—
1685C3×D3—92no—
1686C3×D3—92no—
1687C3×D3—92no—
1688C3×D3—92no—
1689C3×D3—92no—
1690C3×D3—92no—
1691C3×D3—92no—
1692C3×D3—92no—
1693C3×D3—92no—
1694C3×D3—92no—
1695C3×D3—92no—
1696C3×D3—92no—
1697C3×D3—92no—
1698C3×D3—92no—
1699C3×D3—92no—
1700C3×D3—92no—
1701C3×D3—92no—
1702C3×D3—92no—
1703C3×D3—92no—
1704C3×D3—92no—
1705C3×D3—92no—
1706C3×D3—92no—
1707C3×D3—92no—
1708C3×D3—92no—
1709C3×D3—92no—
1710C3×D3—92no—
1711C3×D3—92no—
1712C3×D3—92no—
1713C3×D3—92no—
1714C3×D3—92no—
1715C3×D3—272no—
1716C3×D3—272no—
1717C3×D3—272no—
1718C3×D3—272no—
1719C2×C9—61no—
1720C2×C9—61no—
1721C2×C9—61no—
1722C2×C9—61no—
1723C2×C9—61no—
1724C2×C9—61no—
1725C2×C9—61no—
1726C2×C9—61no—
1727C2×C9—61no—
1728C2×C9—61no—
1729D9—32no—
1730D9—32no—
1731C22×C3—271no—
1732C22×C3—271no—
1733C22×C3—271no—
1734C22×C3—271no—
1735C22×C3—271no—
1736C22×C3—271no—
1737C22×C3—271no—
1738C22×C3—271no—
1739C22×C3—271no—
1740C22×C3—271no—
1741C22×C3—271no—
1742C22×C3—271no—
1743C22×C3—271no—
1744C2×D3—91no—
1745C2×D3—91no—
1746C2×D3—91no—
1747C2×D3—91no—
1748C2×D3—271no—
1749C32—21no—
1750C32—21no—
1751C32—21no—
1752C32—21no—
1753C32—31no—
1754C32—31no—
1755C32—31no—
1756C32—31no—
1757C32—31no—
1758C32—31no—
1759C32—31no—
1760C32—31no—
1761C32—31no—
1762C32—31no—
1763C32—31no—
1764C32—31no—
1765C32—31no—
1766C32—31no—
1767C32—31no—
1768C32—31no—
1769C32—31no—
1770C32—31no—
1771C32—31no—
1772C32—31no—
1773C32—31no—
1774C32—61no—
1775C32—61no—
1776C32—61no—
1777C32—61no—
1778C32—61no—
1779C32—61no—
1780C32—61no—
1781C32—61no—
1782C32—61no—
1783C32—61no—
1784C32—61no—
1785C32—61no—
1786C32—61no—
1787C32—61no—
1788C32—61no—
1789C32—61no—
1790C32—61no—
1791C32—61no—
1792C32—61no—
1793C32—61no—
1794C32—61no—
1795C32—61no—
1796C32—61no—
1797C32—61no—
1798C32—61no—
1799C32—61no—
1800C32—61no—
1801C32—61no—
1802C32—61no—
1803C32—61no—
1804C32—61no—
1805C32—61no—
1806C32—61no—
1807C32—61no—
1808C32—61no—
1809C32—61no—
1810C32—61no—
1811C32—61no—
1812C32—61no—
1813C32—61no—
1814C32—61no—
1815C32—61no—
1816C32—61no—
1817C32—61no—
1818C32—61no—
1819C32—61no—
1820C32—61no—
1821C32—61no—
1822C32—61no—
1823C32—61no—
1824C32—61no—
1825C32—61no—
1826C32—61no—
1827C32—61no—
1828C32—61no—
1829C32—61no—
1830C32—61no—
1831C32—61no—
1832C32—61no—
1833C32—61no—
1834C32—61no—
1835C32—61no—
1836C32—61no—
1837C32—61no—
1838C32—61no—
1839C32—61no—
1840C32—61no—
1841C32—61no—
1842C32—61no—
1843C32—61no—
1844C32—61no—
1845C32—61no—
1846C32—61no—
1847C32—61no—
1848C32—61no—
1849C32—61no—
1850C32—61no—
1851C32—61no—
1852C32—61no—
1853C32—61no—
1854C32—61no—
1855C32—61no—
1856C32—61no—
1857C32—61no—
1858C32—61no—
1859C32—61no—
1860C32—61no—
1861C32—61no—
1862C32—61no—
1863C32—61no—
1864C32—61no—
1865C32—61no—
1866C32—61no—
1867C32—61no—
1868C32—61no—
1869C32—61no—
1870C32—61no—
1871C32—61no—
1872C32—61no—
1873C32—61no—
1874C32—61no—
1875C32—61no—
1876C32—61no—
1877C32—61no—
1878C32—61no—
1879C32—61no—
1880C32—61no—
1881C32—61no—
1882C32—61no—
1883C32—61no—
1884C32—61no—
1885C32—61no—
1886C32—61no—
1887C32—61no—
1888C32—61no—
1889C32—61no—
1890C32—61no—
1891C32—61no—
1892C32—61no—
1893C32—61no—
1894C32—61no—
1895C32—61no—
1896C32—61no—
1897C32—61no—
1898C32—61no—
1899C32—61no—
1900C32—61no—
1901C32—61no—
1902C32—61no—
1903C32—61no—
1904C32—61no—
1905C32—61no—
1906C32—61no—
1907C32—61no—
1908C32—61no—
1909C32—61no—
1910C32—61no—
1911C32—61no—
1912C32—61no—
1913C32—61no—
1914C32—61no—
1915C32—61no—
1916C32—61no—
1917C32—61no—
1918C32—61no—
1919C32—61no—
1920C32—61no—
1921C32—61no—
1922C32—61no—
1923C32—61no—
1924C32—61no—
1925C32—61no—
1926C32—61no—
1927C32—61no—
1928C32—61no—
1929C32—61no—
1930C32—61no—
1931C32—61no—
1932C32—61no—
1933C32—61no—
1934C32—61no—
1935C32—61no—
1936C32—61no—
1937C32—61no—
1938C32—61no—
1939C32—61no—
1940C32—61no—
1941C32—61no—
1942C32—61no—
1943C32—61no—
1944C32—61no—
1945C32—61no—
1946C32—61no—
1947C32—61no—
1948C32—61no—
1949C32—61no—
1950C32—61no—
1951C32—61no—
1952C32—61no—
1953C32—61no—
1954C32—61no—
1955C32—61no—
1956C32—61no—
1957C32—61no—
1958C32—61no—
1959C32—61no—
1960C32—61no—
1961C32—61no—
1962C32—61no—
1963C32—61no—
1964C32—61no—
1965C32—61no—
1966C32—61no—
1967C32—61no—
1968C32—61no—
1969C32—61no—
1970C32—61no—
1971C32—61no—
1972C32—61no—
1973C32—61no—
1974C32—61no—
1975C32—61no—
1976C32—61no—
1977C32—61no—
1978C32—61no—
1979C32—61no—
1980C32—61no—
1981C32—61no—
1982C32—91no—
1983C32—181no—
1984C32—181no—
1985C32—181no—
1986C32—181no—
1987C32—182no—
1988C32—182no—
1989C32—182no—
1990C32—182no—
1991C32—181no—
1992C32—181no—
1993C32—181no—
1994C32—181no—
1995C32—181no—
1996C32—181no—
1997C32—181no—
1998C32C2×#418311yescharacteristic, direct product factor
1999C32C2×C3×#27211yescharacteristic
2000C32C2×C3×#27211yescharacteristic
2001C32C2×C3×#27211yescharacteristic
2002C32C2×C3×#27211yescharacteristic
2003C32C2×C3×#27211yescharacteristic
2004C32C2×C3×#27211yescharacteristic
2005C32C2×C3×#27211yescharacteristic
2006C32C2×C3×#27211yescharacteristic
2007C32C2×C3×#27211yescharacteristic
2008C32C2×C3×#27211yescharacteristic
2009C32C2×C3×#27211yescharacteristic
2010C32C2×C3×#27211yescharacteristic
2011C32C2×C32×C3⋊D311yescharacteristic
2012C9—61no—
2013C9—61no—
2014C9—61no—
2015C9—61no—
2016C9—61no—
2017C9—61no—
2018C9—61no—
2019C9—61no—
2020C9—61no—
2021C9—61no—
2022C2×C3—21no—
2023C2×C3—21no—
2024C2×C3—21no—
2025C2×C3—21no—
2026C2×C3—31no—
2027C2×C3—31no—
2028C2×C3—31no—
2029C2×C3—61no—
2030C2×C3—61no—
2031C2×C3—61no—
2032C2×C3—61no—
2033C2×C3—61no—
2034C2×C3—61no—
2035C2×C3—61no—
2036C2×C3—61no—
2037C2×C3—61no—
2038C2×C3—61no—
2039C2×C3—61no—
2040C2×C3—61no—
2041C2×C3—61no—
2042C2×C3—61no—
2043C2×C3—61no—
2044C2×C3—61no—
2045C2×C3—61no—
2046C2×C3—61no—
2047C2×C3—61no—
2048C2×C3—61no—
2049C2×C3—61no—
2050C2×C3—181no—
2051C2×C3—181no—
2052C2×C3—181no—
2053C2×C3—181no—
2054C2×C3—181no—
2055C2×C3—272no—
2056C2×C3—272no—
2057C2×C3—272no—
2058C2×C3—272no—
2059C2×C3—272no—
2060C2×C3—272no—
2061C2×C3—272no—
2062C2×C3—272no—
2063C2×C3—272no—
2064C2×C3—272no—
2065C2×C3—272no—
2066C2×C3—272no—
2067C2×C3—272no—
2068C2×C3C3×#418311yescharacteristic, direct product factor
2069C2×C3C3×#418311yescharacteristic, direct product factor
2070C2×C3C3×#418311yescharacteristic, direct product factor
2071C2×C3C3×#418311yescharacteristic, direct product factor
2072C2×C3C32×#27211yescharacteristic
2073D3—92no—
2074D3—92no—
2075D3—92no—
2076D3—92no—
2077D3—272no—
2078C22—271noSylow
2079C3—21no—
2080C3—21no—
2081C3—21no—
2082C3—21no—
2083C3—31no—
2084C3—31no—
2085C3—31no—
2086C3—61no—
2087C3—61no—
2088C3—61no—
2089C3—61no—
2090C3—61no—
2091C3—61no—
2092C3—61no—
2093C3—61no—
2094C3—61no—
2095C3—61no—
2096C3—61no—
2097C3—61no—
2098C3—61no—
2099C3—61no—
2100C3—61no—
2101C3—61no—
2102C3—61no—
2103C3—61no—
2104C3—61no—
2105C3—61no—
2106C3—61no—
2107C3—181no—
2108C3—181no—
2109C3—181no—
2110C3—181no—
2111C3—181no—
2112C3C2×C3×#418311yescharacteristic, direct product factor
2113C3C2×C3×#418311yescharacteristic, direct product factor
2114C3C2×C3×#418311yescharacteristic, direct product factor
2115C3C2×C3×#418311yescharacteristic, direct product factor
2116C3C2×C32×#27211yescharacteristic
2117C2—272no—
2118C2C32×#418311yescharacteristic, direct product factor
subgroupG/H
center, hypercenterC2×C32#4183
commutator, cosocle, hypocenterAΣL(1,𝔽27)C22×C32
FrattiniC32C2×C32×C3⋊D3
FittingC2×C32×AΣL(1,𝔽27)C2
socleC2×C33#272
LCSG ▷ AΣL(1,𝔽27)
UCSC1 ◁ C2×C32

Complements

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

NH ≅ G/Ntype
1. C32×#4183C2direct (N × H)
2. C2×C32×AΣL(1,𝔽27)C2semidirect
7. C2×C3×#4183C3direct (N × H)
8. C2×C3×#4183C3direct (N × H)
9. C2×C3×#4183C3direct (N × H)
10. C2×C3×#4183C3direct (N × H)
11. C32×AΣL(1,𝔽27)C22semidirect
12. C2×C35D3semidirect
14. C2×C32×3−1+2D3semidirect
15. C2×C32×3−1+2D3semidirect
16. C2×C32×H(3,𝔽3)D3semidirect
36. C2×C3×AΣL(1,𝔽27)C2×C3semidirect
37. C2×C3×AΣL(1,𝔽27)C2×C3semidirect
38. C2×C3×AΣL(1,𝔽27)C2×C3semidirect
39. C2×C3×AΣL(1,𝔽27)C2×C3semidirect
40. C3×#4183C2×C3direct (N × H)
41. C3×#4183C2×C3direct (N × H)
42. C3×#4183C2×C3direct (N × H)
43. C3×#4183C2×C3direct (N × H)
100. C2×#4183C32direct (N × H)
101. C35C2×D3semidirect
102. C32×3−1+2C2×D3semidirect
103. C32×3−1+2C2×D3semidirect
104. C32×H(3,𝔽3)C2×D3semidirect
121. C3×AΣL(1,𝔽27)C22×C3semidirect
122. C3×AΣL(1,𝔽27)C22×C3semidirect
123. C3×AΣL(1,𝔽27)C22×C3semidirect
124. C3×AΣL(1,𝔽27)C22×C3semidirect
154. C2×C34C3×D3semidirect
155. C2×C34C3×D3semidirect
156. C2×C34C3×D3semidirect
157. C2×C34C3×D3semidirect
201. C2×C3×3−1+2C3×D3semidirect
202. C2×C3×3−1+2C3×D3semidirect
203. C2×C3×3−1+2C3×D3semidirect
204. C2×C3×3−1+2C3×D3semidirect
205. C2×C3×3−1+2C3×D3semidirect
206. C2×C3×3−1+2C3×D3semidirect
207. C2×C3×3−1+2C3×D3semidirect
208. C2×C3×3−1+2C3×D3semidirect
221. C2×C3×H(3,𝔽3)C3×D3semidirect
222. C2×C3×H(3,𝔽3)C3×D3semidirect
223. C2×C3×H(3,𝔽3)C3×D3semidirect
224. C2×C3×H(3,𝔽3)C3×D3semidirect
305. C2×AΣL(1,𝔽27)C2×C32semidirect
306. #4183C2×C32direct (N × H)
442. C34C2×C3×D3semidirect
443. C34C2×C3×D3semidirect
444. C34C2×C3×D3semidirect
445. C34C2×C3×D3semidirect
471. C3×3−1+2C2×C3×D3semidirect
472. C3×3−1+2C2×C3×D3semidirect
473. C3×3−1+2C2×C3×D3semidirect
474. C3×3−1+2C2×C3×D3semidirect
475. C3×3−1+2C2×C3×D3semidirect
476. C3×3−1+2C2×C3×D3semidirect
477. C3×3−1+2C2×C3×D3semidirect
478. C3×3−1+2C2×C3×D3semidirect
491. C3×H(3,𝔽3)C2×C3×D3semidirect
492. C3×H(3,𝔽3)C2×C3×D3semidirect
493. C3×H(3,𝔽3)C2×C3×D3semidirect
494. C3×H(3,𝔽3)C2×C3×D3semidirect
537. AΣL(1,𝔽27)C22×C32semidirect
789. C2×C33C32×D3semidirect
904. C2×3−1+2C32×D3semidirect
905. C2×3−1+2C32×D3semidirect
926. C2×H(3,𝔽3)C32×D3semidirect
1301. C33C2×C32×D3semidirect
1346. 3−1+2C2×C32×D3semidirect
1347. 3−1+2C2×C32×D3semidirect
1368. H(3,𝔽3)C2×C32×D3semidirect
1647. C2×C32#4183direct (N × H)
1998. C32C2×#4183direct (N × H)
2068. C2×C3C3×#4183direct (N × H)
2069. C2×C3C3×#4183direct (N × H)
2070. C2×C3C3×#4183direct (N × H)
2071. C2×C3C3×#4183direct (N × H)
2112. C3C2×C3×#4183direct (N × H)
2113. C3C2×C3×#4183direct (N × H)
2114. C3C2×C3×#4183direct (N × H)
2115. C3C2×C3×#4183direct (N × H)
2118. C2C32×#4183direct (N × H)

Maximal subgroups

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

subgroupindex
C32×#41832
C2×C32×AΣL(1,𝔽27)2
C2×C33×C3⋊D33
C2×C32×AGL(1,ℤ/9)3
C2×C32×(C3⋊D3)⋊C33
C2×C3×#41833