Finite Group Databasebeta

← C2×#72221912 #72269366

Subgroups — C2×#72221912 #72269366

Order 8748.

4208 conjugacy classes of subgroups; only the 204 normal subgroups are shown.

normal subgroups only

This group has 4208 conjugacy classes of subgroups — too many to draw. Only its 204 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#4183⋊C3—33nomaximal
2C2×C3×#4183⋊C3—33nomaximal
3C2×C3×#6912⋊C2—33nomaximal
4C2×C3×#4184⋊C3—33nomaximal
5C2×#10624755⋊C2C311yesmaximal, characteristic, complemented
6C2×#14554331C211yesmaximal, characteristic, complemented
7C2×C3×#4207⋊C3—31nomaximal
8#72221912C212yesmaximal, direct product factor
9#14554331C2211yescharacteristic, complemented, Sylow
10C3×#4207⋊C3—32no—
11C3×#6912⋊C2—36no—
12C3×#4184⋊C3—36no—
13C3×#4183⋊C3—36no—
14C3×#4183⋊C3—36no—
15#10624755⋊C2C2×C312yescomplemented
16C2×C3×3−1+4D311yescharacteristic, complemented
17C2×C3×#6912D313yescomplemented
18C2×C3×#6910D313yescomplemented
19C2×C3×#6909D313yescomplemented
20C2×C3×#6909D313yescomplemented
21C2×#10624755—21no—
22C2×#10624755—23no—
23C2×#10624755—23no—
24C2×#10624755—23no—
25C2×#10624755—23no—
26C2×#10624755C2×C311yescharacteristic, complemented
27C2×#4207⋊C3—33no—
28C2×#4207⋊C3—33no—
29C2×#4207⋊C3—33no—
30C2×C3×#4207—33no—
31C2×C3×C3⋊AGL(1,ℤ/9)—31no—
32C2×C32×AGL(1,ℤ/9)—93no—
33C2×C32×AGL(1,ℤ/9)—93no—
34C2×C32×AGL(1,ℤ/9)—93no—
35C2×C32×(C3⋊D3)⋊C3—91no—
36C2×C32×(C3⋊D3)⋊C3—93no—
37C2×#6912⋊C2—33no—
38C2×#6912⋊C2—33no—
39C2×#6912⋊C2—33no—
40C2×#4184⋊C3—33no—
41C2×#4184⋊C3—33no—
42C2×#4184⋊C3—33no—
43C2×#4183⋊C3—33no—
44C2×#4183⋊C3—33no—
45C2×#4183⋊C3—33no—
46C2×#4183⋊C3—33no—
47C2×#4183⋊C3—33no—
48C2×#4183⋊C3—33no—
49C2×C3×#733⋊C2—33no—
50C2×C3×#4184—33no—
51C2×C3×#4183—33no—
52C2×C3×#4183—33no—
53C3×3−1+4C2×D311yescharacteristic, complemented
54C3×#6912C2×D313yescomplemented
55C3×#6910C2×D313yescomplemented
56C3×#6909C2×D313yescomplemented
57C3×#6909C2×D313yescomplemented
58#10624755—23no—
59#10624755—23no—
60#10624755—23no—
61#10624755—21no—
62#10624755—23no—
63#10624755C22×C311yescharacteristic, complemented
64C2×3−1+4—33no—
65C2×3−1+4—33no—
66C2×3−1+4—33no—
67C2×3−1+4—63no—
68C2×3−1+4—63no—
69C2×3−1+4—63no—
70C2×C3×#737—33no—
71C2×C3×#737—63no—
72C2×C32×3−1+2—21no—
73C2×C32×3−1+2—23no—
74C2×C32×3−1+2C3×D311yescharacteristic, complemented
75C2×C32×3−1+2C3⋊D313yes—
76C2×C32×3−1+2C3⋊D313yes—
77C2×C32×3−1+2C3⋊D313yes—
78C2×C32×H(3,𝔽3)C3⋊D311yescharacteristic
79C2×C32×H(3,𝔽3)C3⋊D313yes—
80#4207⋊C3—36no—
81#4207⋊C3—36no—
82#4207⋊C3—36no—
83C3×#4207—36no—
84C3×C3⋊AGL(1,ℤ/9)—32no—
85C32×AGL(1,ℤ/9)—96no—
86C32×AGL(1,ℤ/9)—96no—
87C32×AGL(1,ℤ/9)—96no—
88C32×(C3⋊D3)⋊C3—96no—
89C32×(C3⋊D3)⋊C3—92no—
90C2×#6912—23no—
91C2×#6912—23no—
92C2×#6912—23no—
93C2×#6912—23no—
94C2×#6912—33no—
95C2×#6912—33no—
96C2×#6912—63no—
97C2×#6912—63no—
98C2×#6912C3×D313yescomplemented
99C2×#6910—23no—
100C2×#6910—23no—
101C2×#6910—23no—
102C2×#6910—23no—
103C2×#6910—33no—
104C2×#6910—33no—
105C2×#6910—63no—
106C2×#6910—63no—
107C2×#6910C3×D313yescomplemented
108C2×#6909—23no—
109C2×#6909—23no—
110C2×#6909—23no—
111C2×#6909—23no—
112C2×#6909—33no—
113C2×#6909—33no—
114C2×#6909—33no—
115C2×#6909—33no—
116C2×#6909—33no—
117C2×#6909—63no—
118C2×#6909—63no—
119C2×#6909—63no—
120C2×#6909—63no—
121C2×#6909—63no—
122C2×#6909C3×D313yescomplemented
123C2×C3×#733—33no—
124C2×C3×#733—63no—
125C2×C3×#731—33no—
126C2×C3×#731—63no—
127C2×C3×AΣL(1,𝔽27)—23no—
128C2×C3×AΣL(1,𝔽27)—23no—
129C2×C3×AΣL(1,𝔽27)—23no—
130C2×C3×AΣL(1,𝔽27)—23no—
131C2×C3×AΣL(1,𝔽27)—33no—
132C2×C3×AΣL(1,𝔽27)—63no—
133C2×C3×AΣL(1,𝔽27)C3×D313yescomplemented
134#6912⋊C2—36no—
135#6912⋊C2—36no—
136#6912⋊C2—36no—
137#4184⋊C3—36no—
138#4184⋊C3—36no—
139#4184⋊C3—36no—
140#4183⋊C3—36no—
141#4183⋊C3—36no—
142#4183⋊C3—36no—
143#4183⋊C3—36no—
144#4183⋊C3—36no—
145#4183⋊C3—36no—
146C3×#733⋊C2—36no—
147C3×#4184—36no—
148C3×#4183—36no—
149C3×#4183—36no—
150C2×C32×C3⋊D3—93no—
151C2×C32×C3⋊D3—91no—
152C2×C33×D3—271no—
153C2×#4207—33no—
154C2×#4207—33no—
155C2×#4207—33no—
156C2×C3⋊AGL(1,ℤ/9)—33no—
157C2×C3×C3⋊D9—31no—
158C2×C3×AGL(1,ℤ/9)—93no—
159C2×C3×AGL(1,ℤ/9)—93no—
160C2×C3×AGL(1,ℤ/9)—93no—
161C2×C3×AGL(1,ℤ/9)—93no—
162C2×C3×AGL(1,ℤ/9)—93no—
163C2×C3×AGL(1,ℤ/9)—93no—
164C2×C3×AGL(1,ℤ/9)—93no—
165C2×C3×AGL(1,ℤ/9)—93no—
166C2×C3×AGL(1,ℤ/9)—93no—
167C2×C3×AGL(1,ℤ/9)—93no—
168C2×C3×AGL(1,ℤ/9)—93no—
169C2×C3×AGL(1,ℤ/9)—93no—
170C2×C3×AGL(1,ℤ/9)—93no—
171C2×C3×AGL(1,ℤ/9)—93no—
172C2×C3×AGL(1,ℤ/9)—93no—
173C2×C3×AGL(1,ℤ/9)—93no—
174C2×C3×AGL(1,ℤ/9)—93no—
175C2×C3×AGL(1,ℤ/9)—93no—
176C2×C3×AGL(1,ℤ/9)—93no—
177C2×C3×AGL(1,ℤ/9)—93no—
178C2×C3×AGL(1,ℤ/9)—93no—
179C2×C3×AGL(1,ℤ/9)—93no—
180C2×C3×AGL(1,ℤ/9)—93no—
181C2×C3×AGL(1,ℤ/9)—93no—
182C2×C3×AGL(1,ℤ/9)—93no—
183C2×C3×AGL(1,ℤ/9)—93no—
184C2×C3×AGL(1,ℤ/9)—93no—
185C2×C3×AGL(1,ℤ/9)—93no—
186C2×C3×AGL(1,ℤ/9)—93no—
187C2×C3×AGL(1,ℤ/9)—93no—
188C2×C3×AGL(1,ℤ/9)—93no—
189C2×C3×AGL(1,ℤ/9)—93no—
190C2×C3×AGL(1,ℤ/9)—93no—
191C2×C3×AGL(1,ℤ/9)—93no—
192C2×C3×AGL(1,ℤ/9)—93no—
193C2×C3×AGL(1,ℤ/9)—93no—
194C2×C3×(C3⋊D3)⋊C3—93no—
195C2×C3×(C3⋊D3)⋊C3—93no—
196C2×C3×(C3⋊D3)⋊C3—93no—
197C2×C3×(C3⋊D3)⋊C3—93no—
198C2×C3×(C3⋊D3)⋊C3—93no—
199C2×C3×(C3⋊D3)⋊C3—93no—
200C2×C3×(C3⋊D3)⋊C3—93no—
201C2×C3×(C3⋊D3)⋊C3—93no—
202C2×C3×(C3⋊D3)⋊C3—93no—
203C2×C3×(C3⋊D3)⋊C3—93no—
204C2×C3×(C3⋊D3)⋊C3—93no—
205C2×C3×(C3⋊D3)⋊C3—93no—
206C2×C3×(C3⋊D3)⋊C3—93no—
207C2×C3×(C3⋊D3)⋊C3—93no—
208C2×C3×(C3⋊D3)⋊C3—93no—
209C2×C3×(C3⋊D3)⋊C3—93no—
210C2×C32×D9—93no—
211C2×C32×D9—93no—
212C2×C32×D9—93no—
213C2×#733⋊C2—33no—
214C2×#4184—33no—
215C2×#4183—33no—
216C2×#4183—33no—
2173−1+4—33no—
2183−1+4—33no—
2193−1+4—33no—
2203−1+4—63no—
2213−1+4—63no—
2223−1+4—63no—
223C3×#737—33no—
224C3×#737—63no—
225C32×3−1+2—21no—
226C32×3−1+2—23no—
227C32×3−1+2C2×C3×D311yescharacteristic, complemented
228C32×3−1+2C2×C3⋊D313yes—
229C32×3−1+2C2×C3⋊D313yes—
230C32×3−1+2C2×C3⋊D313yes—
231C32×H(3,𝔽3)C2×C3⋊D311yescharacteristic
232C32×H(3,𝔽3)C2×C3⋊D313yes—
233#6912—23no—
234#6912—23no—
235#6912—23no—
236#6912—23no—
237#6912—33no—
238#6912—33no—
239#6912—63no—
240#6912—63no—
241#6912C2×C3×D313yescomplemented
242#6910—23no—
243#6910—23no—
244#6910—23no—
245#6910—23no—
246#6910—33no—
247#6910—33no—
248#6910—63no—
249#6910—63no—
250#6910C2×C3×D313yescomplemented
251#6909—23no—
252#6909—23no—
253#6909—23no—
254#6909—23no—
255#6909—33no—
256#6909—33no—
257#6909—33no—
258#6909—33no—
259#6909—33no—
260#6909—63no—
261#6909—63no—
262#6909—63no—
263#6909—63no—
264#6909—63no—
265#6909C2×C3×D313yescomplemented
266C3×#733—33no—
267C3×#733—63no—
268C3×#731—33no—
269C3×#731—63no—
270C3×AΣL(1,𝔽27)—23no—
271C3×AΣL(1,𝔽27)—23no—
272C3×AΣL(1,𝔽27)—23no—
273C3×AΣL(1,𝔽27)—23no—
274C3×AΣL(1,𝔽27)—33no—
275C3×AΣL(1,𝔽27)—63no—
276C3×AΣL(1,𝔽27)C2×C3×D313yescomplemented
277C2×C34—21no—
278C2×C34—33no—
279C2×C34C3×C3⋊D311yescharacteristic
280C2×C34C3⋊(C3⋊D3)11yescharacteristic
281C32×C3⋊D3—96no—
282C32×C3⋊D3—92no—
283C33×D3—272no—
284C2×#737—33no—
285C2×#737—33no—
286C2×#737—33no—
287C2×#737—63no—
288C2×#737—63no—
289C2×#737—63no—
290C2×#737—63no—
291C2×#737—63no—
292C2×#737—63no—
293C2×#737—63no—
294C2×#737—63no—
295C2×#737—63no—
296C2×#737—63no—
297C2×#737—63no—
298C2×#737—63no—
299C2×#737—63no—
300C2×#737—63no—
301C2×#737—63no—
302C2×#737—63no—
303C2×#737—63no—
304C2×#737—63no—
305C2×#737—63no—
306C2×#737—63no—
307C2×#737—63no—
308C2×#737—63no—
309C2×#737—63no—
310C2×#737—63no—
311C2×#737—63no—
312C2×#737—63no—
313C2×#737—63no—
314C2×#737—63no—
315C2×#737—63no—
316C2×#737—63no—
317C2×#737—63no—
318C2×#737—63no—
319C2×#737—63no—
320C2×#737—63no—
321C2×#737—63no—
322C2×#737—63no—
323C2×#737—63no—
324C2×#737—63no—
325C2×#737—63no—
326C2×C3×3−1+2—23no—
327C2×C3×3−1+2—23no—
328C2×C3×3−1+2—23no—
329C2×C3×3−1+2—23no—
330C2×C3×3−1+2—23no—
331C2×C3×3−1+2—23no—
332C2×C3×3−1+2—33no—
333C2×C3×3−1+2—33no—
334C2×C3×3−1+2—33no—
335C2×C3×3−1+2—33no—
336C2×C3×3−1+2—33no—
337C2×C3×3−1+2—33no—
338C2×C3×3−1+2—33no—
339C2×C3×3−1+2—33no—
340C2×C3×3−1+2—33no—
341C2×C3×3−1+2—33no—
342C2×C3×3−1+2—33no—
343C2×C3×3−1+2—33no—
344C2×C3×3−1+2—33no—
345C2×C3×3−1+2—33no—
346C2×C3×3−1+2—33no—
347C2×C3×3−1+2—33no—
348C2×C3×3−1+2—33no—
349C2×C3×3−1+2—33no—
350C2×C3×3−1+2—33no—
351C2×C3×3−1+2—33no—
352C2×C3×3−1+2—33no—
353C2×C3×3−1+2—33no—
354C2×C3×3−1+2—33no—
355C2×C3×3−1+2—33no—
356C2×C3×3−1+2—33no—
357C2×C3×3−1+2—33no—
358C2×C3×3−1+2—33no—
359C2×C3×3−1+2—33no—
360C2×C3×3−1+2—33no—
361C2×C3×3−1+2—33no—
362C2×C3×3−1+2—33no—
363C2×C3×3−1+2—61no—
364C2×C3×3−1+2—63no—
365C2×C3×3−1+2—63no—
366C2×C3×3−1+2—63no—
367C2×C3×3−1+2—63no—
368C2×C3×3−1+2—63no—
369C2×C3×3−1+2—63no—
370C2×C3×3−1+2—63no—
371C2×C3×3−1+2—63no—
372C2×C3×3−1+2—63no—
373C2×C3×3−1+2—63no—
374C2×C3×3−1+2—63no—
375C2×C3×3−1+2—63no—
376C2×C3×3−1+2—63no—
377C2×C3×3−1+2—63no—
378C2×C3×3−1+2—61no—
379C2×C3×3−1+2—61no—
380C2×C3×3−1+2—63no—
381C2×C3×3−1+2#27213yes—
382C2×C3×3−1+2#27213yes—
383C2×C3×3−1+2#27213yes—
384C2×C3×3−1+2C3×C3⋊D313yes—
385C2×C3×3−1+2C3×C3⋊D313yes—
386C2×C3×3−1+2C3×C3⋊D313yes—
387C2×C3×H(3,𝔽3)—23no—
388C2×C3×H(3,𝔽3)—23no—
389C2×C3×H(3,𝔽3)—33no—
390C2×C3×H(3,𝔽3)—33no—
391C2×C3×H(3,𝔽3)—33no—
392C2×C3×H(3,𝔽3)—33no—
393C2×C3×H(3,𝔽3)—33no—
394C2×C3×H(3,𝔽3)—33no—
395C2×C3×H(3,𝔽3)—33no—
396C2×C3×H(3,𝔽3)—33no—
397C2×C3×H(3,𝔽3)—33no—
398C2×C3×H(3,𝔽3)—33no—
399C2×C3×H(3,𝔽3)—33no—
400C2×C3×H(3,𝔽3)—33no—
401C2×C3×H(3,𝔽3)—33no—
402C2×C3×H(3,𝔽3)—33no—
403C2×C3×H(3,𝔽3)#27213yes—
404C2×C3×H(3,𝔽3)C3×C3⋊D313yes—
405C2×C32×C9—31no—
406C2×C32×C9—33no—
407C2×C32×C9—33no—
408C2×C32×C9—33no—
409C2×C32×C9—63no—
410C2×C32×C9—61no—
411#4207—36no—
412#4207—36no—
413#4207—36no—
414C3⋊AGL(1,ℤ/9)—36no—
415C3×C3⋊D9—32no—
416C3×AGL(1,ℤ/9)—96no—
417C3×AGL(1,ℤ/9)—96no—
418C3×AGL(1,ℤ/9)—96no—
419C3×AGL(1,ℤ/9)—96no—
420C3×AGL(1,ℤ/9)—96no—
421C3×AGL(1,ℤ/9)—96no—
422C3×AGL(1,ℤ/9)—96no—
423C3×AGL(1,ℤ/9)—96no—
424C3×AGL(1,ℤ/9)—96no—
425C3×AGL(1,ℤ/9)—96no—
426C3×AGL(1,ℤ/9)—96no—
427C3×AGL(1,ℤ/9)—96no—
428C3×AGL(1,ℤ/9)—96no—
429C3×AGL(1,ℤ/9)—96no—
430C3×AGL(1,ℤ/9)—96no—
431C3×AGL(1,ℤ/9)—96no—
432C3×AGL(1,ℤ/9)—96no—
433C3×AGL(1,ℤ/9)—96no—
434C3×AGL(1,ℤ/9)—96no—
435C3×AGL(1,ℤ/9)—96no—
436C3×AGL(1,ℤ/9)—96no—
437C3×AGL(1,ℤ/9)—96no—
438C3×AGL(1,ℤ/9)—96no—
439C3×AGL(1,ℤ/9)—96no—
440C3×AGL(1,ℤ/9)—96no—
441C3×AGL(1,ℤ/9)—96no—
442C3×AGL(1,ℤ/9)—96no—
443C3×AGL(1,ℤ/9)—96no—
444C3×AGL(1,ℤ/9)—96no—
445C3×AGL(1,ℤ/9)—96no—
446C3×AGL(1,ℤ/9)—96no—
447C3×AGL(1,ℤ/9)—96no—
448C3×AGL(1,ℤ/9)—96no—
449C3×AGL(1,ℤ/9)—96no—
450C3×AGL(1,ℤ/9)—96no—
451C3×AGL(1,ℤ/9)—96no—
452C3×(C3⋊D3)⋊C3—96no—
453C3×(C3⋊D3)⋊C3—96no—
454C3×(C3⋊D3)⋊C3—96no—
455C3×(C3⋊D3)⋊C3—96no—
456C3×(C3⋊D3)⋊C3—96no—
457C3×(C3⋊D3)⋊C3—96no—
458C3×(C3⋊D3)⋊C3—96no—
459C3×(C3⋊D3)⋊C3—96no—
460C3×(C3⋊D3)⋊C3—96no—
461C3×(C3⋊D3)⋊C3—96no—
462C3×(C3⋊D3)⋊C3—96no—
463C3×(C3⋊D3)⋊C3—96no—
464C3×(C3⋊D3)⋊C3—96no—
465C3×(C3⋊D3)⋊C3—96no—
466C3×(C3⋊D3)⋊C3—96no—
467C3×(C3⋊D3)⋊C3—96no—
468C32×D9—96no—
469C32×D9—96no—
470C32×D9—96no—
471C2×#733—33no—
472C2×#733—63no—
473C2×#733—63no—
474C2×#733—63no—
475C2×#733—63no—
476C2×#733—63no—
477C2×#733—63no—
478C2×#733—63no—
479C2×#733—63no—
480C2×#733—63no—
481C2×#733—63no—
482C2×#733—66no—
483C2×#733—63no—
484C2×#731—33no—
485C2×#731—63no—
486C2×#731—63no—
487C2×#731—63no—
488C2×#731—63no—
489C2×#731—63no—
490C2×#731—63no—
491C2×#731—63no—
492C2×#731—63no—
493C2×#731—63no—
494C2×#731—63no—
495C2×#731—66no—
496C2×#731—63no—
497C2×AΣL(1,𝔽27)—33no—
498C2×AΣL(1,𝔽27)—33no—
499C2×AΣL(1,𝔽27)—63no—
500C2×AΣL(1,𝔽27)—63no—
501C2×AΣL(1,𝔽27)—63no—
502C2×AΣL(1,𝔽27)—63no—
503C2×AΣL(1,𝔽27)—63no—
504C2×AΣL(1,𝔽27)—63no—
505C2×AΣL(1,𝔽27)—63no—
506C2×AΣL(1,𝔽27)—63no—
507C2×AΣL(1,𝔽27)—63no—
508C2×AΣL(1,𝔽27)—63no—
509C2×AΣL(1,𝔽27)—63no—
510C2×AΣL(1,𝔽27)—63no—
511C2×AΣL(1,𝔽27)—63no—
512C2×AΣL(1,𝔽27)—63no—
513C2×AΣL(1,𝔽27)—66no—
514C2×AΣL(1,𝔽27)—63no—
515C2×AΣL(1,𝔽27)—63no—
516C2×AΣL(1,𝔽27)—63no—
517C2×AΣL(1,𝔽27)—63no—
518C2×AΣL(1,𝔽27)—63no—
519C2×AΣL(1,𝔽27)—63no—
520C2×AΣL(1,𝔽27)—66no—
521C2×AΣL(1,𝔽27)—63no—
522C2×AΣL(1,𝔽27)—63no—
523#733⋊C2—36no—
524#4184—36no—
525#4183—36no—
526#4183—36no—
527C22×C33—811no—
528C2×C3×C3⋊D3—93no—
529C2×C3×C3⋊D3—93no—
530C2×C3×C3⋊D3—93no—
531C2×C3×C3⋊D3—93no—
532C2×C3×C3⋊D3—93no—
533C2×C3×C3⋊D3—91no—
534C2×C32×D3—273no—
535C2×C32×D3—273no—
536C2×C32×D3—273no—
537C2×C32×D3—273no—
538C2×C32×D3—271no—
539C2×C32×D3—811no—
540C2×C32×D3—813no—
541C2×C3⋊D9—31no—
542C2×AGL(1,ℤ/9)—93no—
543C2×AGL(1,ℤ/9)—93no—
544C2×AGL(1,ℤ/9)—93no—
545C2×AGL(1,ℤ/9)—93no—
546C2×AGL(1,ℤ/9)—93no—
547C2×AGL(1,ℤ/9)—93no—
548C2×AGL(1,ℤ/9)—93no—
549C2×AGL(1,ℤ/9)—93no—
550C2×AGL(1,ℤ/9)—93no—
551C2×AGL(1,ℤ/9)—93no—
552C2×AGL(1,ℤ/9)—93no—
553C2×AGL(1,ℤ/9)—93no—
554C2×AGL(1,ℤ/9)—93no—
555C2×AGL(1,ℤ/9)—93no—
556C2×AGL(1,ℤ/9)—93no—
557C2×AGL(1,ℤ/9)—93no—
558C2×AGL(1,ℤ/9)—93no—
559C2×AGL(1,ℤ/9)—93no—
560C2×AGL(1,ℤ/9)—93no—
561C2×AGL(1,ℤ/9)—93no—
562C2×AGL(1,ℤ/9)—93no—
563C2×AGL(1,ℤ/9)—93no—
564C2×AGL(1,ℤ/9)—93no—
565C2×AGL(1,ℤ/9)—93no—
566C2×AGL(1,ℤ/9)—93no—
567C2×AGL(1,ℤ/9)—93no—
568C2×AGL(1,ℤ/9)—93no—
569C2×(C3⋊D3)⋊C3—93no—
570C2×(C3⋊D3)⋊C3—93no—
571C2×(C3⋊D3)⋊C3—93no—
572C2×(C3⋊D3)⋊C3—93no—
573C2×(C3⋊D3)⋊C3—93no—
574C2×(C3⋊D3)⋊C3—93no—
575C2×(C3⋊D3)⋊C3—93no—
576C2×(C3⋊D3)⋊C3—93no—
577C2×(C3⋊D3)⋊C3—93no—
578C2×(C3⋊D3)⋊C3—93no—
579C2×(C3⋊D3)⋊C3—93no—
580C2×(C3⋊D3)⋊C3—93no—
581C2×C3×D9—93no—
582C2×C3×D9—93no—
583C2×C3×D9—93no—
584C2×C3×D9—93no—
585C2×C3×D9—93no—
586C2×C3×D9—93no—
587C2×C3×D9—93no—
588C2×C3×D9—93no—
589C2×C3×D9—93no—
590C2×C3×D9—93no—
591C2×C3×D9—93no—
592C2×C3×D9—93no—
593C34—21no—
594C34—33no—
595C34C2×C3×C3⋊D311yescharacteristic
596C34C2×C3⋊(C3⋊D3)11yescharacteristic
597#737—33no—
598#737—33no—
599#737—33no—
600#737—63no—
601#737—63no—
602#737—63no—
603#737—63no—
604#737—63no—
605#737—63no—
606#737—63no—
607#737—63no—
608#737—63no—
609#737—63no—
610#737—63no—
611#737—63no—
612#737—63no—
613#737—63no—
614#737—63no—
615#737—63no—
616#737—63no—
617#737—63no—
618#737—63no—
619#737—63no—
620#737—63no—
621#737—63no—
622#737—63no—
623#737—63no—
624#737—63no—
625#737—63no—
626#737—63no—
627#737—63no—
628#737—63no—
629#737—63no—
630#737—63no—
631#737—63no—
632#737—63no—
633#737—63no—
634#737—63no—
635#737—63no—
636#737—63no—
637#737—63no—
638#737—63no—
639C3×3−1+2—23no—
640C3×3−1+2—23no—
641C3×3−1+2—23no—
642C3×3−1+2—23no—
643C3×3−1+2—23no—
644C3×3−1+2—23no—
645C3×3−1+2—33no—
646C3×3−1+2—33no—
647C3×3−1+2—33no—
648C3×3−1+2—33no—
649C3×3−1+2—33no—
650C3×3−1+2—33no—
651C3×3−1+2—33no—
652C3×3−1+2—33no—
653C3×3−1+2—33no—
654C3×3−1+2—33no—
655C3×3−1+2—33no—
656C3×3−1+2—33no—
657C3×3−1+2—33no—
658C3×3−1+2—33no—
659C3×3−1+2—33no—
660C3×3−1+2—33no—
661C3×3−1+2—33no—
662C3×3−1+2—33no—
663C3×3−1+2—33no—
664C3×3−1+2—33no—
665C3×3−1+2—33no—
666C3×3−1+2—33no—
667C3×3−1+2—33no—
668C3×3−1+2—33no—
669C3×3−1+2—33no—
670C3×3−1+2—33no—
671C3×3−1+2—33no—
672C3×3−1+2—33no—
673C3×3−1+2—33no—
674C3×3−1+2—33no—
675C3×3−1+2—33no—
676C3×3−1+2—61no—
677C3×3−1+2—63no—
678C3×3−1+2—63no—
679C3×3−1+2—63no—
680C3×3−1+2—63no—
681C3×3−1+2—63no—
682C3×3−1+2—63no—
683C3×3−1+2—63no—
684C3×3−1+2—63no—
685C3×3−1+2—63no—
686C3×3−1+2—63no—
687C3×3−1+2—63no—
688C3×3−1+2—63no—
689C3×3−1+2—63no—
690C3×3−1+2—63no—
691C3×3−1+2—61no—
692C3×3−1+2—61no—
693C3×3−1+2—63no—
694C3×3−1+2C2×#27213yes—
695C3×3−1+2C2×#27213yes—
696C3×3−1+2C2×#27213yes—
697C3×3−1+2C2×C3×C3⋊D313yes—
698C3×3−1+2C2×C3×C3⋊D313yes—
699C3×3−1+2C2×C3×C3⋊D313yes—
700C3×H(3,𝔽3)—23no—
701C3×H(3,𝔽3)—23no—
702C3×H(3,𝔽3)—33no—
703C3×H(3,𝔽3)—33no—
704C3×H(3,𝔽3)—33no—
705C3×H(3,𝔽3)—33no—
706C3×H(3,𝔽3)—33no—
707C3×H(3,𝔽3)—33no—
708C3×H(3,𝔽3)—33no—
709C3×H(3,𝔽3)—33no—
710C3×H(3,𝔽3)—33no—
711C3×H(3,𝔽3)—33no—
712C3×H(3,𝔽3)—33no—
713C3×H(3,𝔽3)—33no—
714C3×H(3,𝔽3)—33no—
715C3×H(3,𝔽3)—33no—
716C3×H(3,𝔽3)C2×#27213yes—
717C3×H(3,𝔽3)C2×C3×C3⋊D313yes—
718C32×C9—31no—
719C32×C9—33no—
720C32×C9—33no—
721C32×C9—33no—
722C32×C9—63no—
723C32×C9—61no—
724#733—33no—
725#733—63no—
726#733—63no—
727#733—63no—
728#733—63no—
729#733—63no—
730#733—63no—
731#733—63no—
732#733—63no—
733#733—63no—
734#733—63no—
735#733—66no—
736#733—63no—
737#731—33no—
738#731—63no—
739#731—63no—
740#731—63no—
741#731—63no—
742#731—63no—
743#731—63no—
744#731—63no—
745#731—63no—
746#731—63no—
747#731—63no—
748#731—66no—
749#731—63no—
750AΣL(1,𝔽27)—33no—
751AΣL(1,𝔽27)—33no—
752AΣL(1,𝔽27)—63no—
753AΣL(1,𝔽27)—63no—
754AΣL(1,𝔽27)—63no—
755AΣL(1,𝔽27)—63no—
756AΣL(1,𝔽27)—63no—
757AΣL(1,𝔽27)—63no—
758AΣL(1,𝔽27)—63no—
759AΣL(1,𝔽27)—63no—
760AΣL(1,𝔽27)—63no—
761AΣL(1,𝔽27)—63no—
762AΣL(1,𝔽27)—63no—
763AΣL(1,𝔽27)—63no—
764AΣL(1,𝔽27)—63no—
765AΣL(1,𝔽27)—63no—
766AΣL(1,𝔽27)—66no—
767AΣL(1,𝔽27)—63no—
768AΣL(1,𝔽27)—63no—
769AΣL(1,𝔽27)—63no—
770AΣL(1,𝔽27)—63no—
771AΣL(1,𝔽27)—63no—
772AΣL(1,𝔽27)—63no—
773AΣL(1,𝔽27)—66no—
774AΣL(1,𝔽27)—63no—
775AΣL(1,𝔽27)—63no—
776C2×C33—21no—
777C2×C33—23no—
778C2×C33—33no—
779C2×C33—33no—
780C2×C33—63no—
781C2×C33—63no—
782C2×C33—93no—
783C2×C33—93no—
784C2×C33—93no—
785C2×C33—271no—
786C2×C33—271no—
787C2×C33—273no—
788C2×C33—541no—
789C2×C33—543no—
790C2×C33—812no—
791C2×C33C3×#27211yescharacteristic
792C2×C33C3⋊#27213yes—
793C2×C33C3⋊#27213yes—
794C2×C33C3⋊#27213yes—
795C2×C33C3⋊#27213yes—
796C2×C33C3×C3⋊(C3⋊D3)11yescharacteristic
797C3×C3⋊D3—96no—
798C3×C3⋊D3—96no—
799C3×C3⋊D3—96no—
800C3×C3⋊D3—96no—
801C3×C3⋊D3—96no—
802C3×C3⋊D3—92no—
803C32×D3—276no—
804C32×D3—276no—
805C32×D3—276no—
806C32×D3—276no—
807C32×D3—272no—
808C32×D3—812no—
809C32×D3—816no—
810C2×3−1+2—23no—
811C2×3−1+2—23no—
812C2×3−1+2—23no—
813C2×3−1+2—23no—
814C2×3−1+2—33no—
815C2×3−1+2—33no—
816C2×3−1+2—33no—
817C2×3−1+2—33no—
818C2×3−1+2—33no—
819C2×3−1+2—33no—
820C2×3−1+2—33no—
821C2×3−1+2—33no—
822C2×3−1+2—33no—
823C2×3−1+2—33no—
824C2×3−1+2—33no—
825C2×3−1+2—33no—
826C2×3−1+2—33no—
827C2×3−1+2—33no—
828C2×3−1+2—63no—
829C2×3−1+2—63no—
830C2×3−1+2—63no—
831C2×3−1+2—63no—
832C2×3−1+2—63no—
833C2×3−1+2—63no—
834C2×3−1+2—63no—
835C2×3−1+2—63no—
836C2×3−1+2—63no—
837C2×3−1+2—63no—
838C2×3−1+2—63no—
839C2×3−1+2—63no—
840C2×3−1+2—63no—
841C2×3−1+2—63no—
842C2×3−1+2—63no—
843C2×3−1+2—63no—
844C2×3−1+2—63no—
845C2×3−1+2—63no—
846C2×3−1+2—63no—
847C2×3−1+2—63no—
848C2×3−1+2—63no—
849C2×3−1+2—63no—
850C2×3−1+2—63no—
851C2×3−1+2—63no—
852C2×3−1+2—63no—
853C2×3−1+2—63no—
854C2×3−1+2—63no—
855C2×3−1+2—63no—
856C2×3−1+2—63no—
857C2×3−1+2—63no—
858C2×3−1+2—63no—
859C2×3−1+2—63no—
860C2×3−1+2—63no—
861C2×3−1+2—63no—
862C2×3−1+2—63no—
863C2×3−1+2—63no—
864C2×3−1+2—63no—
865C2×3−1+2—63no—
866C2×3−1+2—63no—
867C2×3−1+2—63no—
868C2×3−1+2—63no—
869C2×3−1+2—93no—
870C2×3−1+2—93no—
871C2×3−1+2—93no—
872C2×3−1+2—93no—
873C2×3−1+2—93no—
874C2×3−1+2—93no—
875C2×3−1+2—93no—
876C2×3−1+2—93no—
877C2×3−1+2—93no—
878C2×3−1+2—93no—
879C2×3−1+2—93no—
880C2×3−1+2—93no—
881C2×3−1+2C3×#27213yes—
882C2×H(3,𝔽3)—33no—
883C2×H(3,𝔽3)—33no—
884C2×H(3,𝔽3)—33no—
885C2×H(3,𝔽3)—33no—
886C2×H(3,𝔽3)—33no—
887C2×H(3,𝔽3)—33no—
888C2×H(3,𝔽3)—63no—
889C2×H(3,𝔽3)—63no—
890C2×H(3,𝔽3)—63no—
891C2×H(3,𝔽3)—63no—
892C2×H(3,𝔽3)—63no—
893C2×H(3,𝔽3)—63no—
894C2×H(3,𝔽3)—93no—
895C2×H(3,𝔽3)—93no—
896C2×H(3,𝔽3)—93no—
897C2×H(3,𝔽3)—93no—
898C2×H(3,𝔽3)—93no—
899C2×H(3,𝔽3)—93no—
900C2×C3×C9—31no—
901C2×C3×C9—33no—
902C2×C3×C9—33no—
903C2×C3×C9—33no—
904C2×C3×C9—33no—
905C2×C3×C9—33no—
906C2×C3×C9—33no—
907C2×C3×C9—63no—
908C2×C3×C9—63no—
909C2×C3×C9—63no—
910C2×C3×C9—63no—
911C2×C3×C9—61no—
912C2×C3×C9—63no—
913C2×C3×C9—63no—
914C2×C3×C9—63no—
915C2×C3×C9—63no—
916C2×C3×C9—63no—
917C2×C3×C9—63no—
918C2×C3×C9—61no—
919C2×C3×C9—63no—
920C2×C3×C9—61no—
921C2×C3×C9—61no—
922C2×C3×C9—63no—
923C2×C3×C9—63no—
924C2×C3×C9—63no—
925C2×C3×C9—63no—
926C2×C3×C9—63no—
927C2×C3×C9—63no—
928C2×C3×C9—63no—
929C2×C3×C9—93no—
930C2×C3×C9—93no—
931C2×C3×C9—93no—
932C2×C3×C9—93no—
933C2×C3×C9—93no—
934C2×C3×C9—93no—
935C3⋊D9—32no—
936AGL(1,ℤ/9)—96no—
937AGL(1,ℤ/9)—96no—
938AGL(1,ℤ/9)—96no—
939AGL(1,ℤ/9)—96no—
940AGL(1,ℤ/9)—96no—
941AGL(1,ℤ/9)—96no—
942AGL(1,ℤ/9)—96no—
943AGL(1,ℤ/9)—96no—
944AGL(1,ℤ/9)—96no—
945AGL(1,ℤ/9)—96no—
946AGL(1,ℤ/9)—96no—
947AGL(1,ℤ/9)—96no—
948AGL(1,ℤ/9)—96no—
949AGL(1,ℤ/9)—96no—
950AGL(1,ℤ/9)—96no—
951AGL(1,ℤ/9)—96no—
952AGL(1,ℤ/9)—96no—
953AGL(1,ℤ/9)—96no—
954AGL(1,ℤ/9)—96no—
955AGL(1,ℤ/9)—96no—
956AGL(1,ℤ/9)—96no—
957AGL(1,ℤ/9)—96no—
958AGL(1,ℤ/9)—96no—
959AGL(1,ℤ/9)—96no—
960AGL(1,ℤ/9)—96no—
961AGL(1,ℤ/9)—96no—
962AGL(1,ℤ/9)—96no—
963(C3⋊D3)⋊C3—96no—
964(C3⋊D3)⋊C3—96no—
965(C3⋊D3)⋊C3—96no—
966(C3⋊D3)⋊C3—96no—
967(C3⋊D3)⋊C3—96no—
968(C3⋊D3)⋊C3—96no—
969(C3⋊D3)⋊C3—96no—
970(C3⋊D3)⋊C3—96no—
971(C3⋊D3)⋊C3—96no—
972(C3⋊D3)⋊C3—96no—
973(C3⋊D3)⋊C3—96no—
974(C3⋊D3)⋊C3—96no—
975C3×D9—96no—
976C3×D9—96no—
977C3×D9—96no—
978C3×D9—96no—
979C3×D9—96no—
980C3×D9—96no—
981C3×D9—96no—
982C3×D9—96no—
983C3×D9—96no—
984C3×D9—96no—
985C3×D9—96no—
986C3×D9—96no—
987C22×C32—813no—
988C22×C32—811no—
989C22×C32—813no—
990C22×C32—813no—
991C22×C32—813no—
992C2×C3⋊D3—91no—
993C2×C3⋊D3—93no—
994C2×C3×D3—273no—
995C2×C3×D3—273no—
996C2×C3×D3—273no—
997C2×C3×D3—271no—
998C2×C3×D3—273no—
999C2×C3×D3—811no—
1000C2×C3×D3—813no—
1001C2×C3×D3—813no—
1002C2×C3×D3—813no—
1003C2×C3×D3—813no—
1004C2×C3×D3—813no—
1005C2×D9—93no—
1006C2×D9—93no—
1007C2×D9—93no—
1008C33—21no—
1009C33—23no—
1010C33—33no—
1011C33—33no—
1012C33—63no—
1013C33—63no—
1014C33—93no—
1015C33—93no—
1016C33—93no—
1017C33—271no—
1018C33—271no—
1019C33—273no—
1020C33—541no—
1021C33—543no—
1022C33C2×C3×#27211yescharacteristic
1023C33C2×C3⋊#27213yes—
1024C33C2×C3⋊#27213yes—
1025C33C2×C3⋊#27213yes—
1026C33C2×C3⋊#27213yes—
1027C33C2×C3×C3⋊(C3⋊D3)11yescharacteristic
10283−1+2—23no—
10293−1+2—23no—
10303−1+2—23no—
10313−1+2—23no—
10323−1+2—33no—
10333−1+2—33no—
10343−1+2—33no—
10353−1+2—33no—
10363−1+2—33no—
10373−1+2—33no—
10383−1+2—33no—
10393−1+2—33no—
10403−1+2—33no—
10413−1+2—33no—
10423−1+2—33no—
10433−1+2—33no—
10443−1+2—33no—
10453−1+2—33no—
10463−1+2—63no—
10473−1+2—63no—
10483−1+2—63no—
10493−1+2—63no—
10503−1+2—63no—
10513−1+2—63no—
10523−1+2—63no—
10533−1+2—63no—
10543−1+2—63no—
10553−1+2—63no—
10563−1+2—63no—
10573−1+2—63no—
10583−1+2—63no—
10593−1+2—63no—
10603−1+2—63no—
10613−1+2—63no—
10623−1+2—63no—
10633−1+2—63no—
10643−1+2—63no—
10653−1+2—63no—
10663−1+2—63no—
10673−1+2—63no—
10683−1+2—63no—
10693−1+2—63no—
10703−1+2—63no—
10713−1+2—63no—
10723−1+2—63no—
10733−1+2—63no—
10743−1+2—63no—
10753−1+2—63no—
10763−1+2—63no—
10773−1+2—63no—
10783−1+2—63no—
10793−1+2—63no—
10803−1+2—63no—
10813−1+2—63no—
10823−1+2—63no—
10833−1+2—63no—
10843−1+2—63no—
10853−1+2—63no—
10863−1+2—63no—
10873−1+2—93no—
10883−1+2—93no—
10893−1+2—93no—
10903−1+2—93no—
10913−1+2—93no—
10923−1+2—93no—
10933−1+2—93no—
10943−1+2—93no—
10953−1+2—93no—
10963−1+2—93no—
10973−1+2—93no—
10983−1+2—93no—
10993−1+2C2×C3×#27213yes—
1100H(3,𝔽3)—33no—
1101H(3,𝔽3)—33no—
1102H(3,𝔽3)—33no—
1103H(3,𝔽3)—33no—
1104H(3,𝔽3)—33no—
1105H(3,𝔽3)—33no—
1106H(3,𝔽3)—63no—
1107H(3,𝔽3)—63no—
1108H(3,𝔽3)—63no—
1109H(3,𝔽3)—63no—
1110H(3,𝔽3)—63no—
1111H(3,𝔽3)—63no—
1112H(3,𝔽3)—93no—
1113H(3,𝔽3)—93no—
1114H(3,𝔽3)—93no—
1115H(3,𝔽3)—93no—
1116H(3,𝔽3)—93no—
1117H(3,𝔽3)—93no—
1118C3×C9—31no—
1119C3×C9—33no—
1120C3×C9—33no—
1121C3×C9—33no—
1122C3×C9—33no—
1123C3×C9—33no—
1124C3×C9—33no—
1125C3×C9—63no—
1126C3×C9—63no—
1127C3×C9—63no—
1128C3×C9—63no—
1129C3×C9—61no—
1130C3×C9—63no—
1131C3×C9—63no—
1132C3×C9—63no—
1133C3×C9—63no—
1134C3×C9—63no—
1135C3×C9—63no—
1136C3×C9—61no—
1137C3×C9—63no—
1138C3×C9—61no—
1139C3×C9—61no—
1140C3×C9—63no—
1141C3×C9—63no—
1142C3×C9—63no—
1143C3×C9—63no—
1144C3×C9—63no—
1145C3×C9—63no—
1146C3×C9—63no—
1147C3×C9—93no—
1148C3×C9—93no—
1149C3×C9—93no—
1150C3×C9—93no—
1151C3×C9—93no—
1152C3×C9—93no—
1153C2×C32—31no—
1154C2×C32—63no—
1155C2×C32—61no—
1156C2×C32—93no—
1157C2×C32—91no—
1158C2×C32—93no—
1159C2×C32—93no—
1160C2×C32—93no—
1161C2×C32—91no—
1162C2×C32—93no—
1163C2×C32—181no—
1164C2×C32—183no—
1165C2×C32—183no—
1166C2×C32—273no—
1167C2×C32—273no—
1168C2×C32—273no—
1169C2×C32—273no—
1170C2×C32—273no—
1171C2×C32—543no—
1172C2×C32—543no—
1173C2×C32—543no—
1174C2×C32—543no—
1175C2×C32—543no—
1176C2×C32—816no—
1177C2×C32—812no—
1178C2×C32—816no—
1179C2×C32—816no—
1180C2×C32—816no—
1181C2×C32#9233813yes—
1182C2×C32#9233813yes—
1183C2×C32#9233813yes—
1184C2×C32C3×C3⋊#27211yescharacteristic
1185C2×C32C3×C3⋊#27213yes—
1186C3⋊D3—92no—
1187C3⋊D3—96no—
1188C3×D3—272no—
1189C3×D3—276no—
1190C3×D3—276no—
1191C3×D3—276no—
1192C3×D3—276no—
1193C3×D3—812no—
1194C3×D3—816no—
1195C3×D3—816no—
1196C3×D3—816no—
1197C3×D3—816no—
1198C3×D3—816no—
1199C2×C9—33no—
1200C2×C9—63no—
1201C2×C9—63no—
1202C2×C9—63no—
1203C2×C9—63no—
1204C2×C9—93no—
1205C2×C9—93no—
1206C2×C9—183no—
1207C2×C9—183no—
1208D9—96no—
1209D9—96no—
1210D9—96no—
1211C22×C3—813no—
1212C22×C3—813no—
1213C22×C3—811no—
1214C22×C3—813no—
1215C22×C3—813no—
1216C2×D3—271no—
1217C2×D3—811no—
1218C2×D3—813no—
1219C32—31no—
1220C32—63no—
1221C32—61no—
1222C32—93no—
1223C32—91no—
1224C32—93no—
1225C32—93no—
1226C32—93no—
1227C32—91no—
1228C32—93no—
1229C32—181no—
1230C32—183no—
1231C32—183no—
1232C32—273no—
1233C32—273no—
1234C32—273no—
1235C32—273no—
1236C32—273no—
1237C32—543no—
1238C32—543no—
1239C32—543no—
1240C32—543no—
1241C32—543no—
1242C32C2×#9233813yes—
1243C32C2×#9233813yes—
1244C32C2×#9233813yes—
1245C32C2×C3×C3⋊#27211yescharacteristic
1246C32C2×C3×C3⋊#27213yes—
1247C9—33no—
1248C9—63no—
1249C9—63no—
1250C9—63no—
1251C9—63no—
1252C9—93no—
1253C9—93no—
1254C9—183no—
1255C9—183no—
1256C2×C3—31no—
1257C2×C3—33no—
1258C2×C3—33no—
1259C2×C3—33no—
1260C2×C3—33no—
1261C2×C3—91no—
1262C2×C3—181no—
1263C2×C3—183no—
1264C2×C3—273no—
1265C2×C3—543no—
1266C2×C3—816no—
1267C2×C3—816no—
1268C2×C3—812no—
1269C2×C3—816no—
1270C2×C3—816no—
1271C2×C3C3×#9233811yescharacteristic
1272D3—272no—
1273D3—812no—
1274D3—816no—
1275C22—811noSylow
1276C3—31no—
1277C3—33no—
1278C3—33no—
1279C3—33no—
1280C3—33no—
1281C3—91no—
1282C3—181no—
1283C3—183no—
1284C3—273no—
1285C3—543no—
1286C3C2×C3×#9233811yescharacteristic
1287C2—812no—
1288C2#7222191211yescharacteristic, direct product factor
subgroupG/H
center, hypercenterC2#72221912
commutator, cosocle, hypocenter#10624755C22×C3
FrattiniC33C2×C3×C3⋊(C3⋊D3)
FittingC2×#14554331C2
socleC2×C3C3×#92338
LCSG ▷ #10624755
UCSC1 ◁ C2

Complements

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

NH ≅ G/Ntype
5. C2×#10624755⋊C2C3semidirect
6. C2×#14554331C2semidirect
8. #72221912C2direct (N × H)
9. #14554331C22semidirect
15. #10624755⋊C2C2×C3semidirect
16. C2×C3×3−1+4D3semidirect
17. C2×C3×#6912D3semidirect
18. C2×C3×#6910D3semidirect
19. C2×C3×#6909D3semidirect
20. C2×C3×#6909D3semidirect
26. C2×#10624755C2×C3semidirect
53. C3×3−1+4C2×D3semidirect
54. C3×#6912C2×D3semidirect
55. C3×#6910C2×D3semidirect
56. C3×#6909C2×D3semidirect
57. C3×#6909C2×D3semidirect
63. #10624755C22×C3semidirect
74. C2×C32×3−1+2C3×D3semidirect
98. C2×#6912C3×D3semidirect
107. C2×#6910C3×D3semidirect
122. C2×#6909C3×D3semidirect
133. C2×C3×AΣL(1,𝔽27)C3×D3semidirect
227. C32×3−1+2C2×C3×D3semidirect
241. #6912C2×C3×D3semidirect
250. #6910C2×C3×D3semidirect
265. #6909C2×C3×D3semidirect
276. C3×AΣL(1,𝔽27)C2×C3×D3semidirect
1288. C2#72221912direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4183⋊C33
C2×C3×#6912⋊C23
C2×C3×#4184⋊C33
C2×#10624755⋊C23
C2×#145543312
C2×C3×#4207⋊C33
#722219122