Finite Group Databasebeta

← C2×C3⋊(#4183⋊C3) #72269331

Subgroups — C2×C3⋊(#4183⋊C3) #72269331

Order 2916.

1302 conjugacy classes of subgroups.

The subgroup lattice has 1104 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3⋊(#4183⋊C3)C212yesmaximal, direct product factor
2C2×C3×#6909C211yesmaximal, characteristic, complemented
3C2×C3×C3⋊AGL(1,ℤ/9)—31nomaximal
4C2×C3×C3⋊AGL(1,ℤ/9)—31nomaximal
5C2×C3×C3⋊((C3⋊D3)⋊C3)—31nomaximal
6C2×C3×C3⋊((C3⋊D3)⋊C3)—31nomaximal
7C2×C3⋊#4183C311yesmaximal, characteristic, complemented
8C2×#4183⋊C3—31nomaximal
9C2×#4183⋊C3—31nomaximal
10C2×#4183⋊C3—31nomaximal
11C2×#4183⋊C3—31nomaximal
12C2×#4183⋊C3—31nomaximal
13C2×#4183⋊C3—31nomaximal
14C2×#4183⋊C3—31nomaximal
15C2×#4183⋊C3—31nomaximal
16C2×#4183⋊C3—31nomaximal
17C3×#6909C2211yescharacteristic, complemented, Sylow
18C2×C32×3−1+2D311yescharacteristic, complemented
19C2×C32×3−1+2D311yescharacteristic, complemented
20C2×C32×H(3,𝔽3)D311yescharacteristic, complemented
21C2×C32×H(3,𝔽3)D311yescharacteristic, complemented
22C3×C3⋊AGL(1,ℤ/9)—32no—
23C3×C3⋊AGL(1,ℤ/9)—32no—
24C3×C3⋊((C3⋊D3)⋊C3)—32no—
25C3×C3⋊((C3⋊D3)⋊C3)—32no—
26C2×#6909—21no—
27C2×#6909—21no—
28C2×#6909—21no—
29C2×#6909—21no—
30C2×#6909—21no—
31C2×#6909—21no—
32C2×#6909—21no—
33C2×#6909—21no—
34C2×#6909—21no—
35C2×#6909D311yescharacteristic, complemented
36C2×#6909D311yescharacteristic, complemented
37C2×#6909D311yescharacteristic, complemented
38C2×#6909D311yescharacteristic, complemented
39C2×#6909D311yescharacteristic, complemented
40C2×#6909D311yescharacteristic, complemented
41C2×#6909D311yescharacteristic, complemented
42C2×#6909D311yescharacteristic, complemented
43C2×#6909D311yescharacteristic, complemented
44C2×C3×AΣL(1,𝔽27)—21no—
45C2×C3×AΣL(1,𝔽27)—21no—
46C2×C3×AΣL(1,𝔽27)—21no—
47C2×C3×AΣL(1,𝔽27)—21no—
48C2×C3×AΣL(1,𝔽27)C2×C311yescharacteristic, complemented
49C3⋊#4183C2×C312yescomplemented
50#4183⋊C3—32no—
51#4183⋊C3—32no—
52#4183⋊C3—32no—
53#4183⋊C3—32no—
54#4183⋊C3—32no—
55#4183⋊C3—32no—
56#4183⋊C3—32no—
57#4183⋊C3—32no—
58#4183⋊C3—32no—
59C2×C3×C3⋊(C3⋊D3)—31no—
60C2×C3×C3⋊(C3⋊D3)—31no—
61C2×C32×C3⋊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⋊((C3⋊D3)⋊C3)—31no—
69C2×C3⋊((C3⋊D3)⋊C3)—31no—
70C2×C3⋊((C3⋊D3)⋊C3)—31no—
71C2×C3⋊((C3⋊D3)⋊C3)—31no—
72C2×C3⋊((C3⋊D3)⋊C3)—31no—
73C2×C3⋊((C3⋊D3)⋊C3)—31no—
74C2×C3×C3⋊D9—31no—
75C2×C3×C3⋊D9—31no—
76C2×C3×AGL(1,ℤ/9)—91no—
77C2×C3×AGL(1,ℤ/9)—91no—
78C2×C3×AGL(1,ℤ/9)—91no—
79C2×C3×AGL(1,ℤ/9)—91no—
80C2×C3×AGL(1,ℤ/9)—91no—
81C2×C3×AGL(1,ℤ/9)—91no—
82C2×C3×(C3⋊D3)⋊C3—91no—
83C2×C3×(C3⋊D3)⋊C3—91no—
84C2×C3×(C3⋊D3)⋊C3—91no—
85C2×C3×(C3⋊D3)⋊C3—91no—
86C2×C3×(C3⋊D3)⋊C3—91no—
87C2×C3×(C3⋊D3)⋊C3—91no—
88C2×#4183—31no—
89C2×#4183—31no—
90C2×#4183—31no—
91C2×#4183—31no—
92C2×#4183—31no—
93C2×#4183—31no—
94C2×#4183—31no—
95C2×#4183—31no—
96C2×#4183—31no—
97C32×3−1+2C2×D311yescharacteristic, complemented
98C32×3−1+2C2×D311yescharacteristic, complemented
99C32×H(3,𝔽3)C2×D311yescharacteristic, complemented
100C32×H(3,𝔽3)C2×D311yescharacteristic, complemented
101#6909—21no—
102#6909—21no—
103#6909—21no—
104#6909—21no—
105#6909—21no—
106#6909—21no—
107#6909—21no—
108#6909—21no—
109#6909—21no—
110#6909C2×D311yescharacteristic, complemented
111#6909C2×D311yescharacteristic, complemented
112#6909C2×D311yescharacteristic, complemented
113#6909C2×D311yescharacteristic, complemented
114#6909C2×D311yescharacteristic, complemented
115#6909C2×D311yescharacteristic, complemented
116#6909C2×D311yescharacteristic, complemented
117#6909C2×D311yescharacteristic, complemented
118#6909C2×D311yescharacteristic, complemented
119C3×AΣL(1,𝔽27)—21no—
120C3×AΣL(1,𝔽27)—21no—
121C3×AΣL(1,𝔽27)—21no—
122C3×AΣL(1,𝔽27)—21no—
123C3×AΣL(1,𝔽27)C22×C311yescharacteristic, complemented
124C2×C34—21no—
125C2×C34—61no—
126C2×C34C3×D311yescharacteristic, complemented
127C2×C34C3⋊D311yescharacteristic
128C3×C3⋊(C3⋊D3)—32no—
129C3×C3⋊(C3⋊D3)—32no—
130C32×C3⋊D3—92no—
131C2×C3×3−1+2—21no—
132C2×C3×3−1+2—21no—
133C2×C3×3−1+2—21no—
134C2×C3×3−1+2—21no—
135C2×C3×3−1+2—21no—
136C2×C3×3−1+2—21no—
137C2×C3×3−1+2—21no—
138C2×C3×3−1+2—21no—
139C2×C3×3−1+2—31no—
140C2×C3×3−1+2—61no—
141C2×C3×3−1+2—61no—
142C2×C3×3−1+2—61no—
143C2×C3×3−1+2—61no—
144C2×C3×3−1+2—61no—
145C2×C3×3−1+2—61no—
146C2×C3×3−1+2—61no—
147C2×C3×3−1+2—61no—
148C2×C3×3−1+2—61no—
149C2×C3×3−1+2C3×D311yescharacteristic, complemented
150C2×C3×3−1+2C3×D311yescharacteristic, complemented
151C2×C3×3−1+2C3⋊D311yescharacteristic, complemented
152C2×C3×3−1+2C3⋊D311yescharacteristic, complemented
153C2×C3×3−1+2C3⋊D311yescharacteristic, complemented
154C2×C3×3−1+2C3⋊D311yescharacteristic, complemented
155C2×C3×3−1+2C3⋊D311yescharacteristic, complemented
156C2×C3×3−1+2C3⋊D311yescharacteristic, complemented
157C2×C3×H(3,𝔽3)—21no—
158C2×C3×H(3,𝔽3)—21no—
159C2×C3×H(3,𝔽3)—21no—
160C2×C3×H(3,𝔽3)—21no—
161C2×C3×H(3,𝔽3)—21no—
162C2×C3×H(3,𝔽3)—21no—
163C2×C3×H(3,𝔽3)—21no—
164C2×C3×H(3,𝔽3)—31no—
165C2×C3×H(3,𝔽3)—61no—
166C2×C3×H(3,𝔽3)—61no—
167C2×C3×H(3,𝔽3)—61no—
168C2×C3×H(3,𝔽3)—61no—
169C2×C3×H(3,𝔽3)—61no—
170C2×C3×H(3,𝔽3)—61no—
171C2×C3×H(3,𝔽3)—61no—
172C2×C3×H(3,𝔽3)—61no—
173C2×C3×H(3,𝔽3)—61no—
174C2×C3×H(3,𝔽3)—61no—
175C2×C3×H(3,𝔽3)C3×D311yescharacteristic
176C2×C3×H(3,𝔽3)C3⋊D311yescharacteristic, complemented
177C2×C3×H(3,𝔽3)C3⋊D311yescharacteristic, complemented
178C2×C3×H(3,𝔽3)C3⋊D311yescharacteristic, complemented
179C2×C3×H(3,𝔽3)C3⋊D311yescharacteristic, complemented
180C2×C3×H(3,𝔽3)C3⋊D311yescharacteristic, complemented
181C2×C3×H(3,𝔽3)C3⋊D311yescharacteristic, complemented
182C2×C32×C9—31no—
183C2×C32×C9—61no—
184C3⋊AGL(1,ℤ/9)—32no—
185C3⋊AGL(1,ℤ/9)—32no—
186C3⋊AGL(1,ℤ/9)—32no—
187C3⋊AGL(1,ℤ/9)—32no—
188C3⋊AGL(1,ℤ/9)—32no—
189C3⋊AGL(1,ℤ/9)—32no—
190C3⋊((C3⋊D3)⋊C3)—32no—
191C3⋊((C3⋊D3)⋊C3)—32no—
192C3⋊((C3⋊D3)⋊C3)—32no—
193C3⋊((C3⋊D3)⋊C3)—32no—
194C3⋊((C3⋊D3)⋊C3)—32no—
195C3⋊((C3⋊D3)⋊C3)—32no—
196C3×C3⋊D9—32no—
197C3×C3⋊D9—32no—
198C3×AGL(1,ℤ/9)—92no—
199C3×AGL(1,ℤ/9)—92no—
200C3×AGL(1,ℤ/9)—92no—
201C3×AGL(1,ℤ/9)—92no—
202C3×AGL(1,ℤ/9)—92no—
203C3×AGL(1,ℤ/9)—92no—
204C3×(C3⋊D3)⋊C3—92no—
205C3×(C3⋊D3)⋊C3—92no—
206C3×(C3⋊D3)⋊C3—92no—
207C3×(C3⋊D3)⋊C3—92no—
208C3×(C3⋊D3)⋊C3—92no—
209C3×(C3⋊D3)⋊C3—92no—
210C2×AΣL(1,𝔽27)—21no—
211C2×AΣL(1,𝔽27)—21no—
212C2×AΣL(1,𝔽27)—21no—
213C2×AΣL(1,𝔽27)—21no—
214C2×AΣL(1,𝔽27)—21no—
215C2×AΣL(1,𝔽27)—21no—
216C2×AΣL(1,𝔽27)—21no—
217C2×AΣL(1,𝔽27)—21no—
218C2×AΣL(1,𝔽27)—21no—
219C2×AΣL(1,𝔽27)—21no—
220C2×AΣL(1,𝔽27)—21no—
221C2×AΣL(1,𝔽27)—21no—
222C2×AΣL(1,𝔽27)—21no—
223C2×AΣL(1,𝔽27)—21no—
224C2×AΣL(1,𝔽27)—21no—
225C2×AΣL(1,𝔽27)—21no—
226C2×AΣL(1,𝔽27)—21no—
227C2×AΣL(1,𝔽27)—21no—
228C2×AΣL(1,𝔽27)—21no—
229C2×AΣL(1,𝔽27)—21no—
230C2×AΣL(1,𝔽27)—21no—
231C2×AΣL(1,𝔽27)—21no—
232C2×AΣL(1,𝔽27)—21no—
233C2×AΣL(1,𝔽27)—21no—
234C2×AΣL(1,𝔽27)—21no—
235C2×AΣL(1,𝔽27)—21no—
236C2×AΣL(1,𝔽27)—21no—
237C2×AΣL(1,𝔽27)—21no—
238C2×AΣL(1,𝔽27)—21no—
239C2×AΣL(1,𝔽27)—21no—
240C2×AΣL(1,𝔽27)—21no—
241C2×AΣL(1,𝔽27)—21no—
242C2×AΣL(1,𝔽27)—21no—
243C2×AΣL(1,𝔽27)—21no—
244C2×AΣL(1,𝔽27)—21no—
245C2×AΣL(1,𝔽27)—21no—
246C2×AΣL(1,𝔽27)C3×D311yescharacteristic, complemented
247C2×AΣL(1,𝔽27)C3×D311yescharacteristic, complemented
248C2×AΣL(1,𝔽27)C3×D311yescharacteristic, complemented
249C2×AΣL(1,𝔽27)C3×D311yescharacteristic, complemented
250C2×AΣL(1,𝔽27)C3×D311yescharacteristic, complemented
251C2×AΣL(1,𝔽27)C3×D311yescharacteristic, complemented
252C2×AΣL(1,𝔽27)C3×D311yescharacteristic, complemented
253C2×AΣL(1,𝔽27)C3×D311yescharacteristic, complemented
254C2×AΣL(1,𝔽27)C3×D311yescharacteristic, complemented
255#4183—32no—
256#4183—32no—
257#4183—32no—
258#4183—32no—
259#4183—32no—
260#4183—32no—
261#4183—32no—
262#4183—32no—
263#4183—32no—
264C2×C3⋊(C3⋊D3)—31no—
265C2×C3⋊(C3⋊D3)—31no—
266C2×C3×C3⋊D3—91no—
267C2×C3×C3⋊D3—91no—
268C2×C3×C3⋊D3—91no—
269C2×C3×C3⋊D3—91no—
270C2×C3×C3⋊D3—91no—
271C2×C3×C3⋊D3—91no—
272C2×C3×C3⋊D3—91no—
273C2×C3×C3⋊D3—91no—
274C2×C3×C3⋊D3—91no—
275C2×C3×C3⋊D3—91no—
276C2×C3×C3⋊D3—271no—
277C2×C3×C3⋊D3—271no—
278C2×C3×C3⋊D3—271no—
279C2×C3×C3⋊D3—271no—
280C2×C3×C3⋊D3—271no—
281C2×C3×C3⋊D3—271no—
282C2×C32×D3—271no—
283C2×C32×D3—271no—
284C2×C32×D3—271no—
285C2×C32×D3—271no—
286C2×C3⋊D9—31no—
287C2×C3⋊D9—31no—
288C2×AGL(1,ℤ/9)—91no—
289C2×AGL(1,ℤ/9)—91no—
290C2×AGL(1,ℤ/9)—91no—
291C2×AGL(1,ℤ/9)—91no—
292C2×AGL(1,ℤ/9)—91no—
293C2×AGL(1,ℤ/9)—91no—
294C2×AGL(1,ℤ/9)—91no—
295C2×AGL(1,ℤ/9)—91no—
296C2×AGL(1,ℤ/9)—91no—
297C2×AGL(1,ℤ/9)—91no—
298C2×AGL(1,ℤ/9)—91no—
299C2×AGL(1,ℤ/9)—91no—
300C2×AGL(1,ℤ/9)—91no—
301C2×AGL(1,ℤ/9)—91no—
302C2×AGL(1,ℤ/9)—91no—
303C2×AGL(1,ℤ/9)—91no—
304C2×AGL(1,ℤ/9)—91no—
305C2×AGL(1,ℤ/9)—91no—
306C2×(C3⋊D3)⋊C3—91no—
307C2×(C3⋊D3)⋊C3—91no—
308C2×(C3⋊D3)⋊C3—91no—
309C2×(C3⋊D3)⋊C3—91no—
310C2×(C3⋊D3)⋊C3—91no—
311C2×(C3⋊D3)⋊C3—91no—
312C2×(C3⋊D3)⋊C3—91no—
313C2×(C3⋊D3)⋊C3—91no—
314C2×(C3⋊D3)⋊C3—91no—
315C2×(C3⋊D3)⋊C3—91no—
316C2×(C3⋊D3)⋊C3—91no—
317C2×(C3⋊D3)⋊C3—91no—
318C2×(C3⋊D3)⋊C3—91no—
319C2×(C3⋊D3)⋊C3—91no—
320C2×(C3⋊D3)⋊C3—91no—
321C2×(C3⋊D3)⋊C3—91no—
322C2×(C3⋊D3)⋊C3—91no—
323C2×(C3⋊D3)⋊C3—91no—
324C2×C3×D9—91no—
325C2×C3×D9—91no—
326C2×C3×D9—91no—
327C2×C3×D9—91no—
328C2×C3×D9—91no—
329C2×C3×D9—91no—
330C34—21no—
331C34—61no—
332C34C2×C3×D311yescharacteristic, complemented
333C34C2×C3⋊D311yescharacteristic
334C3×3−1+2—21no—
335C3×3−1+2—21no—
336C3×3−1+2—21no—
337C3×3−1+2—21no—
338C3×3−1+2—21no—
339C3×3−1+2—21no—
340C3×3−1+2—21no—
341C3×3−1+2—21no—
342C3×3−1+2—31no—
343C3×3−1+2—61no—
344C3×3−1+2—61no—
345C3×3−1+2—61no—
346C3×3−1+2—61no—
347C3×3−1+2—61no—
348C3×3−1+2—61no—
349C3×3−1+2—61no—
350C3×3−1+2—61no—
351C3×3−1+2—61no—
352C3×3−1+2C2×C3×D311yescharacteristic, complemented
353C3×3−1+2C2×C3×D311yescharacteristic, complemented
354C3×3−1+2C2×C3⋊D311yescharacteristic, complemented
355C3×3−1+2C2×C3⋊D311yescharacteristic, complemented
356C3×3−1+2C2×C3⋊D311yescharacteristic, complemented
357C3×3−1+2C2×C3⋊D311yescharacteristic, complemented
358C3×3−1+2C2×C3⋊D311yescharacteristic, complemented
359C3×3−1+2C2×C3⋊D311yescharacteristic, complemented
360C3×H(3,𝔽3)—21no—
361C3×H(3,𝔽3)—21no—
362C3×H(3,𝔽3)—21no—
363C3×H(3,𝔽3)—21no—
364C3×H(3,𝔽3)—21no—
365C3×H(3,𝔽3)—21no—
366C3×H(3,𝔽3)—21no—
367C3×H(3,𝔽3)—31no—
368C3×H(3,𝔽3)—61no—
369C3×H(3,𝔽3)—61no—
370C3×H(3,𝔽3)—61no—
371C3×H(3,𝔽3)—61no—
372C3×H(3,𝔽3)—61no—
373C3×H(3,𝔽3)—61no—
374C3×H(3,𝔽3)—61no—
375C3×H(3,𝔽3)—61no—
376C3×H(3,𝔽3)—61no—
377C3×H(3,𝔽3)—61no—
378C3×H(3,𝔽3)C2×C3×D311yescharacteristic
379C3×H(3,𝔽3)C2×C3⋊D311yescharacteristic, complemented
380C3×H(3,𝔽3)C2×C3⋊D311yescharacteristic, complemented
381C3×H(3,𝔽3)C2×C3⋊D311yescharacteristic, complemented
382C3×H(3,𝔽3)C2×C3⋊D311yescharacteristic, complemented
383C3×H(3,𝔽3)C2×C3⋊D311yescharacteristic, complemented
384C3×H(3,𝔽3)C2×C3⋊D311yescharacteristic, complemented
385C32×C9—31no—
386C32×C9—61no—
387AΣL(1,𝔽27)—21no—
388AΣL(1,𝔽27)—21no—
389AΣL(1,𝔽27)—21no—
390AΣL(1,𝔽27)—21no—
391AΣL(1,𝔽27)—21no—
392AΣL(1,𝔽27)—21no—
393AΣL(1,𝔽27)—21no—
394AΣL(1,𝔽27)—21no—
395AΣL(1,𝔽27)—21no—
396AΣL(1,𝔽27)—21no—
397AΣL(1,𝔽27)—21no—
398AΣL(1,𝔽27)—21no—
399AΣL(1,𝔽27)—21no—
400AΣL(1,𝔽27)—21no—
401AΣL(1,𝔽27)—21no—
402AΣL(1,𝔽27)—21no—
403AΣL(1,𝔽27)—21no—
404AΣL(1,𝔽27)—21no—
405AΣL(1,𝔽27)—21no—
406AΣL(1,𝔽27)—21no—
407AΣL(1,𝔽27)—21no—
408AΣL(1,𝔽27)—21no—
409AΣL(1,𝔽27)—21no—
410AΣL(1,𝔽27)—21no—
411AΣL(1,𝔽27)—21no—
412AΣL(1,𝔽27)—21no—
413AΣL(1,𝔽27)—21no—
414AΣL(1,𝔽27)—21no—
415AΣL(1,𝔽27)—21no—
416AΣL(1,𝔽27)—21no—
417AΣL(1,𝔽27)—21no—
418AΣL(1,𝔽27)—21no—
419AΣL(1,𝔽27)—21no—
420AΣL(1,𝔽27)—21no—
421AΣL(1,𝔽27)—21no—
422AΣL(1,𝔽27)—21no—
423AΣL(1,𝔽27)C2×C3×D311yescharacteristic, complemented
424AΣL(1,𝔽27)C2×C3×D311yescharacteristic, complemented
425AΣL(1,𝔽27)C2×C3×D311yescharacteristic, complemented
426AΣL(1,𝔽27)C2×C3×D311yescharacteristic, complemented
427AΣL(1,𝔽27)C2×C3×D311yescharacteristic, complemented
428AΣL(1,𝔽27)C2×C3×D311yescharacteristic, complemented
429AΣL(1,𝔽27)C2×C3×D311yescharacteristic, complemented
430AΣL(1,𝔽27)C2×C3×D311yescharacteristic, complemented
431AΣL(1,𝔽27)C2×C3×D311yescharacteristic, complemented
432C2×C33—21no—
433C2×C33—21no—
434C2×C33—21no—
435C2×C33—21no—
436C2×C33—21no—
437C2×C33—21no—
438C2×C33—21no—
439C2×C33—31no—
440C2×C33—61no—
441C2×C33—61no—
442C2×C33—61no—
443C2×C33—61no—
444C2×C33—62no—
445C2×C33—61no—
446C2×C33—61no—
447C2×C33—61no—
448C2×C33—61no—
449C2×C33—61no—
450C2×C33—61no—
451C2×C33—91no—
452C2×C33—91no—
453C2×C33—91no—
454C2×C33—91no—
455C2×C33—181no—
456C2×C33—181no—
457C2×C33—181no—
458C2×C33—181no—
459C2×C33—181no—
460C2×C33—181no—
461C2×C33—181no—
462C2×C33—181no—
463C2×C33—181no—
464C2×C33—181no—
465C2×C33—181no—
466C2×C33#27211yescharacteristic
467C2×C33#27211yescharacteristic
468C2×C33#27211yescharacteristic
469C2×C33C3×C3⋊D311yescharacteristic
470C2×C33C3×C3⋊D311yescharacteristic, complemented
471C2×C33C3×C3⋊D311yescharacteristic, complemented
472C2×C33C3×C3⋊D311yescharacteristic, complemented
473C2×C33C3⋊(C3⋊D3)11yescharacteristic
474C3⋊(C3⋊D3)—32no—
475C3⋊(C3⋊D3)—32no—
476C3×C3⋊D3—92no—
477C3×C3⋊D3—92no—
478C3×C3⋊D3—92no—
479C3×C3⋊D3—92no—
480C3×C3⋊D3—92no—
481C3×C3⋊D3—92no—
482C3×C3⋊D3—92no—
483C3×C3⋊D3—92no—
484C3×C3⋊D3—92no—
485C3×C3⋊D3—92no—
486C3×C3⋊D3—272no—
487C3×C3⋊D3—272no—
488C3×C3⋊D3—272no—
489C3×C3⋊D3—272no—
490C3×C3⋊D3—272no—
491C3×C3⋊D3—272no—
492C32×D3—272no—
493C32×D3—272no—
494C32×D3—272no—
495C32×D3—272no—
496C2×3−1+2—21no—
497C2×3−1+2—21no—
498C2×3−1+2—21no—
499C2×3−1+2—21no—
500C2×3−1+2—21no—
501C2×3−1+2—21no—
502C2×3−1+2—31no—
503C2×3−1+2—31no—
504C2×3−1+2—31no—
505C2×3−1+2—61no—
506C2×3−1+2—61no—
507C2×3−1+2—61no—
508C2×3−1+2—61no—
509C2×3−1+2—61no—
510C2×3−1+2—61no—
511C2×3−1+2—61no—
512C2×3−1+2—61no—
513C2×3−1+2—61no—
514C2×3−1+2—61no—
515C2×3−1+2—61no—
516C2×3−1+2—61no—
517C2×3−1+2—61no—
518C2×3−1+2—61no—
519C2×3−1+2—62no—
520C2×3−1+2—61no—
521C2×3−1+2—62no—
522C2×3−1+2—61no—
523C2×3−1+2—61no—
524C2×3−1+2—61no—
525C2×3−1+2—61no—
526C2×3−1+2—61no—
527C2×3−1+2—61no—
528C2×3−1+2—61no—
529C2×3−1+2—61no—
530C2×3−1+2C3×C3⋊D311yescharacteristic, complemented
531C2×3−1+2C3×C3⋊D311yescharacteristic, complemented
532C2×3−1+2C3×C3⋊D311yescharacteristic, complemented
533C2×3−1+2C3×C3⋊D311yescharacteristic, complemented
534C2×3−1+2C3×C3⋊D311yescharacteristic, complemented
535C2×3−1+2C3×C3⋊D311yescharacteristic, complemented
536C2×H(3,𝔽3)—21no—
537C2×H(3,𝔽3)—21no—
538C2×H(3,𝔽3)—21no—
539C2×H(3,𝔽3)—31no—
540C2×H(3,𝔽3)—31no—
541C2×H(3,𝔽3)—31no—
542C2×H(3,𝔽3)—31no—
543C2×H(3,𝔽3)—31no—
544C2×H(3,𝔽3)—61no—
545C2×H(3,𝔽3)—61no—
546C2×H(3,𝔽3)—61no—
547C2×H(3,𝔽3)—61no—
548C2×H(3,𝔽3)—61no—
549C2×H(3,𝔽3)—61no—
550C2×H(3,𝔽3)—61no—
551C2×H(3,𝔽3)—61no—
552C2×H(3,𝔽3)—61no—
553C2×H(3,𝔽3)—61no—
554C2×H(3,𝔽3)—61no—
555C2×H(3,𝔽3)—61no—
556C2×H(3,𝔽3)—61no—
557C2×H(3,𝔽3)—61no—
558C2×H(3,𝔽3)—61no—
559C2×H(3,𝔽3)—61no—
560C2×H(3,𝔽3)—62no—
561C2×H(3,𝔽3)—61no—
562C2×H(3,𝔽3)—61no—
563C2×H(3,𝔽3)—61no—
564C2×H(3,𝔽3)—61no—
565C2×H(3,𝔽3)—61no—
566C2×H(3,𝔽3)—61no—
567C2×H(3,𝔽3)—61no—
568C2×H(3,𝔽3)—61no—
569C2×H(3,𝔽3)—61no—
570C2×H(3,𝔽3)—61no—
571C2×H(3,𝔽3)C3×C3⋊D311yescharacteristic
572C2×H(3,𝔽3)C3×C3⋊D311yescharacteristic
573C2×H(3,𝔽3)C3×C3⋊D311yescharacteristic
574C2×C3×C9—31no—
575C2×C3×C9—31no—
576C2×C3×C9—31no—
577C2×C3×C9—61no—
578C2×C3×C9—61no—
579C2×C3×C9—61no—
580C2×C3×C9—61no—
581C2×C3×C9—61no—
582C2×C3×C9—61no—
583C2×C3×C9—61no—
584C2×C3×C9—61no—
585C2×C3×C9—61no—
586C2×C3×C9—61no—
587C2×C3×C9—61no—
588C2×C3×C9—61no—
589C2×C3×C9—61no—
590C3⋊D9—32no—
591C3⋊D9—32no—
592AGL(1,ℤ/9)—92no—
593AGL(1,ℤ/9)—92no—
594AGL(1,ℤ/9)—92no—
595AGL(1,ℤ/9)—92no—
596AGL(1,ℤ/9)—92no—
597AGL(1,ℤ/9)—92no—
598AGL(1,ℤ/9)—92no—
599AGL(1,ℤ/9)—92no—
600AGL(1,ℤ/9)—92no—
601AGL(1,ℤ/9)—92no—
602AGL(1,ℤ/9)—92no—
603AGL(1,ℤ/9)—92no—
604AGL(1,ℤ/9)—92no—
605AGL(1,ℤ/9)—92no—
606AGL(1,ℤ/9)—92no—
607AGL(1,ℤ/9)—92no—
608AGL(1,ℤ/9)—92no—
609AGL(1,ℤ/9)—92no—
610(C3⋊D3)⋊C3—92no—
611(C3⋊D3)⋊C3—92no—
612(C3⋊D3)⋊C3—92no—
613(C3⋊D3)⋊C3—92no—
614(C3⋊D3)⋊C3—92no—
615(C3⋊D3)⋊C3—92no—
616(C3⋊D3)⋊C3—92no—
617(C3⋊D3)⋊C3—92no—
618(C3⋊D3)⋊C3—92no—
619(C3⋊D3)⋊C3—92no—
620(C3⋊D3)⋊C3—92no—
621(C3⋊D3)⋊C3—92no—
622(C3⋊D3)⋊C3—92no—
623(C3⋊D3)⋊C3—92no—
624(C3⋊D3)⋊C3—92no—
625(C3⋊D3)⋊C3—92no—
626(C3⋊D3)⋊C3—92no—
627(C3⋊D3)⋊C3—92no—
628C3×D9—92no—
629C3×D9—92no—
630C3×D9—92no—
631C3×D9—92no—
632C3×D9—92no—
633C3×D9—92no—
634C22×C32—811no—
635C2×C3⋊D3—91no—
636C2×C3⋊D3—91no—
637C2×C3⋊D3—91no—
638C2×C3⋊D3—91no—
639C2×C3⋊D3—91no—
640C2×C3⋊D3—91no—
641C2×C3⋊D3—91no—
642C2×C3⋊D3—271no—
643C2×C3⋊D3—271no—
644C2×C3⋊D3—271no—
645C2×C3⋊D3—271no—
646C2×C3⋊D3—271no—
647C2×C3⋊D3—271no—
648C2×C3×D3—271no—
649C2×C3×D3—271no—
650C2×C3×D3—271no—
651C2×C3×D3—271no—
652C2×C3×D3—271no—
653C2×C3×D3—271no—
654C2×C3×D3—271no—
655C2×C3×D3—271no—
656C2×C3×D3—271no—
657C2×C3×D3—271no—
658C2×C3×D3—271no—
659C2×C3×D3—271no—
660C2×C3×D3—271no—
661C2×C3×D3—271no—
662C2×C3×D3—271no—
663C2×C3×D3—271no—
664C2×C3×D3—811no—
665C2×C3×D3—811no—
666C2×C3×D3—811no—
667C2×C3×D3—811no—
668C2×C3×D3—811no—
669C2×C3×D3—811no—
670C2×D9—91no—
671C2×D9—91no—
672C2×D9—91no—
673C2×D9—91no—
674C2×D9—91no—
675C2×D9—91no—
676C33—21no—
677C33—21no—
678C33—21no—
679C33—21no—
680C33—21no—
681C33—21no—
682C33—21no—
683C33—31no—
684C33—61no—
685C33—61no—
686C33—61no—
687C33—61no—
688C33—62no—
689C33—61no—
690C33—61no—
691C33—61no—
692C33—61no—
693C33—61no—
694C33—61no—
695C33—91no—
696C33—91no—
697C33—91no—
698C33—91no—
699C33—181no—
700C33—181no—
701C33—181no—
702C33—181no—
703C33—181no—
704C33—181no—
705C33—181no—
706C33—181no—
707C33—181no—
708C33—181no—
709C33—181no—
710C33C2×#27211yescharacteristic
711C33C2×#27211yescharacteristic
712C33C2×#27211yescharacteristic
713C33C2×C3×C3⋊D311yescharacteristic
714C33C2×C3×C3⋊D311yescharacteristic, complemented
715C33C2×C3×C3⋊D311yescharacteristic, complemented
716C33C2×C3×C3⋊D311yescharacteristic, complemented
717C33C2×C3⋊(C3⋊D3)11yescharacteristic
7183−1+2—21no—
7193−1+2—21no—
7203−1+2—21no—
7213−1+2—21no—
7223−1+2—21no—
7233−1+2—21no—
7243−1+2—31no—
7253−1+2—31no—
7263−1+2—31no—
7273−1+2—61no—
7283−1+2—61no—
7293−1+2—61no—
7303−1+2—61no—
7313−1+2—61no—
7323−1+2—61no—
7333−1+2—61no—
7343−1+2—61no—
7353−1+2—61no—
7363−1+2—61no—
7373−1+2—61no—
7383−1+2—61no—
7393−1+2—61no—
7403−1+2—61no—
7413−1+2—61no—
7423−1+2—61no—
7433−1+2—62no—
7443−1+2—62no—
7453−1+2—61no—
7463−1+2—61no—
7473−1+2—61no—
7483−1+2—61no—
7493−1+2—61no—
7503−1+2—61no—
7513−1+2—61no—
7523−1+2C2×C3×C3⋊D311yescharacteristic, complemented
7533−1+2C2×C3×C3⋊D311yescharacteristic, complemented
7543−1+2C2×C3×C3⋊D311yescharacteristic, complemented
7553−1+2C2×C3×C3⋊D311yescharacteristic, complemented
7563−1+2C2×C3×C3⋊D311yescharacteristic, complemented
7573−1+2C2×C3×C3⋊D311yescharacteristic, complemented
758H(3,𝔽3)—21no—
759H(3,𝔽3)—21no—
760H(3,𝔽3)—21no—
761H(3,𝔽3)—31no—
762H(3,𝔽3)—31no—
763H(3,𝔽3)—31no—
764H(3,𝔽3)—31no—
765H(3,𝔽3)—31no—
766H(3,𝔽3)—61no—
767H(3,𝔽3)—61no—
768H(3,𝔽3)—61no—
769H(3,𝔽3)—61no—
770H(3,𝔽3)—61no—
771H(3,𝔽3)—61no—
772H(3,𝔽3)—61no—
773H(3,𝔽3)—61no—
774H(3,𝔽3)—61no—
775H(3,𝔽3)—61no—
776H(3,𝔽3)—61no—
777H(3,𝔽3)—61no—
778H(3,𝔽3)—61no—
779H(3,𝔽3)—61no—
780H(3,𝔽3)—61no—
781H(3,𝔽3)—61no—
782H(3,𝔽3)—62no—
783H(3,𝔽3)—61no—
784H(3,𝔽3)—61no—
785H(3,𝔽3)—61no—
786H(3,𝔽3)—61no—
787H(3,𝔽3)—61no—
788H(3,𝔽3)—61no—
789H(3,𝔽3)—61no—
790H(3,𝔽3)—61no—
791H(3,𝔽3)—61no—
792H(3,𝔽3)—61no—
793H(3,𝔽3)C2×C3×C3⋊D311yescharacteristic
794H(3,𝔽3)C2×C3×C3⋊D311yescharacteristic
795H(3,𝔽3)C2×C3×C3⋊D311yescharacteristic
796C3×C9—31no—
797C3×C9—31no—
798C3×C9—31no—
799C3×C9—61no—
800C3×C9—61no—
801C3×C9—61no—
802C3×C9—61no—
803C3×C9—61no—
804C3×C9—61no—
805C3×C9—61no—
806C3×C9—61no—
807C3×C9—61no—
808C3×C9—61no—
809C3×C9—61no—
810C3×C9—61no—
811C3×C9—61no—
812C2×C32—21no—
813C2×C32—21no—
814C2×C32—21no—
815C2×C32—21no—
816C2×C32—31no—
817C2×C32—31no—
818C2×C32—31no—
819C2×C32—31no—
820C2×C32—31no—
821C2×C32—61no—
822C2×C32—61no—
823C2×C32—61no—
824C2×C32—61no—
825C2×C32—61no—
826C2×C32—61no—
827C2×C32—61no—
828C2×C32—61no—
829C2×C32—61no—
830C2×C32—61no—
831C2×C32—61no—
832C2×C32—61no—
833C2×C32—61no—
834C2×C32—61no—
835C2×C32—61no—
836C2×C32—61no—
837C2×C32—61no—
838C2×C32—61no—
839C2×C32—61no—
840C2×C32—91no—
841C2×C32—91no—
842C2×C32—91no—
843C2×C32—91no—
844C2×C32—91no—
845C2×C32—91no—
846C2×C32—181no—
847C2×C32—181no—
848C2×C32—181no—
849C2×C32—181no—
850C2×C32—181no—
851C2×C32—181no—
852C2×C32—181no—
853C2×C32—181no—
854C2×C32—181no—
855C2×C32—181no—
856C2×C32—181no—
857C2×C32—181no—
858C2×C32—181no—
859C2×C32—181no—
860C2×C32—183no—
861C2×C32—181no—
862C2×C32—181no—
863C2×C32—186no—
864C2×C32—181no—
865C2×C32—181no—
866C2×C32—181no—
867C2×C32—181no—
868C2×C32—181no—
869C2×C32—181no—
870C2×C32—181no—
871C2×C32—181no—
872C2×C32—181no—
873C2×C32—181no—
874C2×C32—181no—
875C2×C32—181no—
876C2×C32—181no—
877C2×C32—181no—
878C2×C32—181no—
879C2×C32—181no—
880C2×C32—812no—
881C2×C32C3×#27211yescharacteristic
882C2×C32C3⋊#27211yescharacteristic
883C2×C32C3⋊#27211yescharacteristic
884C2×C32C3⋊#27211yescharacteristic
885C2×C32C3×C3⋊(C3⋊D3)11yescharacteristic
886C3⋊D3—92no—
887C3⋊D3—92no—
888C3⋊D3—92no—
889C3⋊D3—92no—
890C3⋊D3—92no—
891C3⋊D3—92no—
892C3⋊D3—92no—
893C3⋊D3—272no—
894C3⋊D3—272no—
895C3⋊D3—272no—
896C3⋊D3—272no—
897C3⋊D3—272no—
898C3⋊D3—272no—
899C3×D3—272no—
900C3×D3—272no—
901C3×D3—272no—
902C3×D3—272no—
903C3×D3—272no—
904C3×D3—272no—
905C3×D3—272no—
906C3×D3—272no—
907C3×D3—272no—
908C3×D3—272no—
909C3×D3—272no—
910C3×D3—272no—
911C3×D3—272no—
912C3×D3—272no—
913C3×D3—272no—
914C3×D3—272no—
915C3×D3—812no—
916C3×D3—812no—
917C3×D3—812no—
918C3×D3—812no—
919C3×D3—812no—
920C3×D3—812no—
921C2×C9—31no—
922C2×C9—31no—
923C2×C9—61no—
924C2×C9—61no—
925C2×C9—61no—
926C2×C9—61no—
927C2×C9—61no—
928C2×C9—61no—
929C2×C9—61no—
930C2×C9—61no—
931C2×C9—61no—
932C2×C9—61no—
933D9—92no—
934D9—92no—
935D9—92no—
936D9—92no—
937D9—92no—
938D9—92no—
939C22×C3—811no—
940C22×C3—811no—
941C22×C3—811no—
942C22×C3—811no—
943C2×D3—271no—
944C2×D3—271no—
945C2×D3—271no—
946C2×D3—271no—
947C2×D3—811no—
948C2×D3—811no—
949C2×D3—811no—
950C2×D3—811no—
951C2×D3—811no—
952C2×D3—811no—
953C32—21no—
954C32—21no—
955C32—21no—
956C32—21no—
957C32—31no—
958C32—31no—
959C32—31no—
960C32—31no—
961C32—31no—
962C32—61no—
963C32—61no—
964C32—61no—
965C32—61no—
966C32—61no—
967C32—61no—
968C32—61no—
969C32—61no—
970C32—61no—
971C32—61no—
972C32—61no—
973C32—61no—
974C32—61no—
975C32—61no—
976C32—61no—
977C32—61no—
978C32—61no—
979C32—61no—
980C32—61no—
981C32—91no—
982C32—91no—
983C32—91no—
984C32—91no—
985C32—91no—
986C32—91no—
987C32—181no—
988C32—181no—
989C32—181no—
990C32—181no—
991C32—181no—
992C32—181no—
993C32—181no—
994C32—181no—
995C32—181no—
996C32—181no—
997C32—181no—
998C32—181no—
999C32—181no—
1000C32—181no—
1001C32—181no—
1002C32—181no—
1003C32—181no—
1004C32—183no—
1005C32—181no—
1006C32—181no—
1007C32—186no—
1008C32—181no—
1009C32—181no—
1010C32—181no—
1011C32—181no—
1012C32—181no—
1013C32—181no—
1014C32—181no—
1015C32—181no—
1016C32—181no—
1017C32—181no—
1018C32—181no—
1019C32—181no—
1020C32—181no—
1021C32C2×C3×#27211yescharacteristic
1022C32C2×C3⋊#27211yescharacteristic
1023C32C2×C3⋊#27211yescharacteristic
1024C32C2×C3⋊#27211yescharacteristic
1025C32C2×C3×C3⋊(C3⋊D3)11yescharacteristic
1026C9—31no—
1027C9—31no—
1028C9—61no—
1029C9—61no—
1030C9—61no—
1031C9—61no—
1032C9—61no—
1033C9—61no—
1034C9—61no—
1035C9—61no—
1036C9—61no—
1037C9—61no—
1038C2×C3—31no—
1039C2×C3—31no—
1040C2×C3—61no—
1041C2×C3—61no—
1042C2×C3—61no—
1043C2×C3—61no—
1044C2×C3—61no—
1045C2×C3—61no—
1046C2×C3—91no—
1047C2×C3—181no—
1048C2×C3—181no—
1049C2×C3—181no—
1050C2×C3—181no—
1051C2×C3—181no—
1052C2×C3—181no—
1053C2×C3—181no—
1054C2×C3—181no—
1055C2×C3—181no—
1056C2×C3—181no—
1057C2×C3—181no—
1058C2×C3—812no—
1059C2×C3—812no—
1060C2×C3—812no—
1061C2×C3—812no—
1062C2×C3#4183⋊C311yescharacteristic, complemented
1063C2×C3#4183⋊C311yescharacteristic, complemented
1064C2×C3#4183⋊C311yescharacteristic, complemented
1065C2×C3C3×C3⋊#27211yescharacteristic
1066D3—272no—
1067D3—272no—
1068D3—272no—
1069D3—272no—
1070D3—812no—
1071D3—812no—
1072D3—812no—
1073D3—812no—
1074D3—812no—
1075D3—812no—
1076C22—811noSylow
1077C3—31no—
1078C3—31no—
1079C3—61no—
1080C3—61no—
1081C3—61no—
1082C3—61no—
1083C3—61no—
1084C3—61no—
1085C3—91no—
1086C3—181no—
1087C3—181no—
1088C3—181no—
1089C3—181no—
1090C3—181no—
1091C3—181no—
1092C3—181no—
1093C3—181no—
1094C3—181no—
1095C3—181no—
1096C3—181no—
1097C3C2×#4183⋊C311yescharacteristic, complemented
1098C3C2×#4183⋊C311yescharacteristic, complemented
1099C3C2×#4183⋊C311yescharacteristic, complemented
1100C3C2×C3×C3⋊#27211yescharacteristic
1101C2—812no—
1102C2C3⋊(#4183⋊C3)11yescharacteristic, direct product factor
subgroupG/H
center, hypercenterC2C3⋊(#4183⋊C3)
commutator, cosocle, hypocenterC3×AΣL(1,𝔽27)C22×C3
FrattiniC32C2×C3×C3⋊(C3⋊D3)
FittingC2×C3×#6909C2
socleC2×C32C3×#272
LCSG ▷ C3×AΣL(1,𝔽27)
UCSC1 ◁ C2

Complements

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

NH ≅ G/Ntype
1. C3⋊(#4183⋊C3)C2direct (N × H)
2. C2×C3×#6909C2semidirect
7. C2×C3⋊#4183C3semidirect
17. C3×#6909C22semidirect
18. C2×C32×3−1+2D3semidirect
19. C2×C32×3−1+2D3semidirect
20. C2×C32×H(3,𝔽3)D3semidirect
21. C2×C32×H(3,𝔽3)D3semidirect
35. C2×#6909D3semidirect
36. C2×#6909D3semidirect
37. C2×#6909D3semidirect
38. C2×#6909D3semidirect
39. C2×#6909D3semidirect
40. C2×#6909D3semidirect
41. C2×#6909D3semidirect
42. C2×#6909D3semidirect
43. C2×#6909D3semidirect
48. C2×C3×AΣL(1,𝔽27)C2×C3semidirect
49. C3⋊#4183C2×C3semidirect
97. C32×3−1+2C2×D3semidirect
98. C32×3−1+2C2×D3semidirect
99. C32×H(3,𝔽3)C2×D3semidirect
100. C32×H(3,𝔽3)C2×D3semidirect
110. #6909C2×D3semidirect
111. #6909C2×D3semidirect
112. #6909C2×D3semidirect
113. #6909C2×D3semidirect
114. #6909C2×D3semidirect
115. #6909C2×D3semidirect
116. #6909C2×D3semidirect
117. #6909C2×D3semidirect
118. #6909C2×D3semidirect
123. C3×AΣL(1,𝔽27)C22×C3semidirect
126. C2×C34C3×D3semidirect
149. C2×C3×3−1+2C3×D3semidirect
150. C2×C3×3−1+2C3×D3semidirect
151. C2×C3×3−1+2C3⋊D3semidirect
152. C2×C3×3−1+2C3⋊D3semidirect
153. C2×C3×3−1+2C3⋊D3semidirect
154. C2×C3×3−1+2C3⋊D3semidirect
155. C2×C3×3−1+2C3⋊D3semidirect
156. C2×C3×3−1+2C3⋊D3semidirect
176. C2×C3×H(3,𝔽3)C3⋊D3semidirect
177. C2×C3×H(3,𝔽3)C3⋊D3semidirect
178. C2×C3×H(3,𝔽3)C3⋊D3semidirect
179. C2×C3×H(3,𝔽3)C3⋊D3semidirect
180. C2×C3×H(3,𝔽3)C3⋊D3semidirect
181. C2×C3×H(3,𝔽3)C3⋊D3semidirect
246. C2×AΣL(1,𝔽27)C3×D3semidirect
247. C2×AΣL(1,𝔽27)C3×D3semidirect
248. C2×AΣL(1,𝔽27)C3×D3semidirect
249. C2×AΣL(1,𝔽27)C3×D3semidirect
250. C2×AΣL(1,𝔽27)C3×D3semidirect
251. C2×AΣL(1,𝔽27)C3×D3semidirect
252. C2×AΣL(1,𝔽27)C3×D3semidirect
253. C2×AΣL(1,𝔽27)C3×D3semidirect
254. C2×AΣL(1,𝔽27)C3×D3semidirect
332. C34C2×C3×D3semidirect
352. C3×3−1+2C2×C3×D3semidirect
353. C3×3−1+2C2×C3×D3semidirect
354. C3×3−1+2C2×C3⋊D3semidirect
355. C3×3−1+2C2×C3⋊D3semidirect
356. C3×3−1+2C2×C3⋊D3semidirect
357. C3×3−1+2C2×C3⋊D3semidirect
358. C3×3−1+2C2×C3⋊D3semidirect
359. C3×3−1+2C2×C3⋊D3semidirect
379. C3×H(3,𝔽3)C2×C3⋊D3semidirect
380. C3×H(3,𝔽3)C2×C3⋊D3semidirect
381. C3×H(3,𝔽3)C2×C3⋊D3semidirect
382. C3×H(3,𝔽3)C2×C3⋊D3semidirect
383. C3×H(3,𝔽3)C2×C3⋊D3semidirect
384. C3×H(3,𝔽3)C2×C3⋊D3semidirect
423. AΣL(1,𝔽27)C2×C3×D3semidirect
424. AΣL(1,𝔽27)C2×C3×D3semidirect
425. AΣL(1,𝔽27)C2×C3×D3semidirect
426. AΣL(1,𝔽27)C2×C3×D3semidirect
427. AΣL(1,𝔽27)C2×C3×D3semidirect
428. AΣL(1,𝔽27)C2×C3×D3semidirect
429. AΣL(1,𝔽27)C2×C3×D3semidirect
430. AΣL(1,𝔽27)C2×C3×D3semidirect
431. AΣL(1,𝔽27)C2×C3×D3semidirect
470. C2×C33C3×C3⋊D3semidirect
471. C2×C33C3×C3⋊D3semidirect
472. C2×C33C3×C3⋊D3semidirect
530. C2×3−1+2C3×C3⋊D3semidirect
531. C2×3−1+2C3×C3⋊D3semidirect
532. C2×3−1+2C3×C3⋊D3semidirect
533. C2×3−1+2C3×C3⋊D3semidirect
534. C2×3−1+2C3×C3⋊D3semidirect
535. C2×3−1+2C3×C3⋊D3semidirect
714. C33C2×C3×C3⋊D3semidirect
715. C33C2×C3×C3⋊D3semidirect
716. C33C2×C3×C3⋊D3semidirect
752. 3−1+2C2×C3×C3⋊D3semidirect
753. 3−1+2C2×C3×C3⋊D3semidirect
754. 3−1+2C2×C3×C3⋊D3semidirect
755. 3−1+2C2×C3×C3⋊D3semidirect
756. 3−1+2C2×C3×C3⋊D3semidirect
757. 3−1+2C2×C3×C3⋊D3semidirect
1062. C2×C3#4183⋊C3semidirect
1063. C2×C3#4183⋊C3semidirect
1064. C2×C3#4183⋊C3semidirect
1097. C3C2×#4183⋊C3semidirect
1098. C3C2×#4183⋊C3semidirect
1099. C3C2×#4183⋊C3semidirect
1102. C2C3⋊(#4183⋊C3)direct (N × H)

Maximal subgroups

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

subgroupindex
C3⋊(#4183⋊C3)2
C2×C3×#69092
C2×C3×C3⋊AGL(1,ℤ/9)3
C2×C3×C3⋊((C3⋊D3)⋊C3)3
C2×C3⋊#41833
C2×#4183⋊C33