Finite Group Databasebeta

← C3×#10590328 #13157343

Subgroups — C3×#10590328 #13157343

Order 1728.

698 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic
2C2×C3×#3712C211yesmaximal, characteristic, complemented
3C2×C3×#3710C211yesmaximal, characteristic, complemented
4C32×C4⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
5C32×#803C211yesmaximal, characteristic, complemented
6C3×#63557C211yesmaximal, characteristic, complemented
7C3×#63557C211yesmaximal, characteristic, complemented
8C3×#4836—31nomaximal
9C3×#4706—31nomaximal
10#10590328C311yesmaximal, characteristic, direct product factor
11C2×C3×C4⋊(C3⋊D3)C411yescharacteristic
12C2×C3×C4×C3⋊D3C2211yescharacteristic
13C2×C3×C4×C3⋊D3C2211yescharacteristic
14C33×C42C2211yescharacteristic
15C3×#3752C411yescharacteristic
16C3×#3752C411yescharacteristic
17C3×C4⋊(C3⋊Dic3)C411yescharacteristic
18C2×C32×C3⋊C8C2211yescharacteristic
19C2×C32×C3⋊C8C2211yescharacteristic
20C2×C32×C3⋊C8C2211yescharacteristic
21C2×C32×C3⋊C8C2211yescharacteristic
22C3×#3712—22no—
23C3×#3710—22no—
24C4×C4⋊(C3⋊D3)C2×C311yescharacteristic
25C2×C3×ΓL(1,𝔽25)—31no—
26C2×C3×ΓL(1,𝔽25)—31no—
27C2×C3×D3×C8—31no—
28C2×C3×D3×C8—31no—
29C3×C4×D12—31no—
30C3×C4×D12—31no—
31C3×C4×D12—61no—
32C2×#3712C2×C311yescharacteristic, complemented
33C2×#3710C2×C311yescharacteristic, complemented
34C32×C4⋊C8—31no—
35C32×#97—31no—
36C3×(C2×D3)⋊C8—31no—
37C3×(C2×D3)⋊C8—31no—
38C3×(C2×D3)⋊C8—31no—
39C3×(C2×D3)⋊C8—31no—
40C3×C4⋊(C3⋊C8)—21no—
41C3×C4⋊(C3⋊C8)D311yescharacteristic, complemented
42C3×C4⋊(C3⋊C8)C2×C311yescharacteristic, complemented
43C3×#803—21no—
44C3×#803D311yescharacteristic, complemented
45C3×#803C2×C311yescharacteristic, complemented
46#63557C2×C311yescharacteristic, complemented
47#63557C2×C311yescharacteristic, complemented
48C22×C3×C3⋊D3C2×C411yescharacteristic
49C22×C3×C3⋊D3C2×C411yescharacteristic
50C2×C33×C4C2×C411yescharacteristic
51C2×C33×C4C2×C411yescharacteristic
52C2×C33×C4C2311yescharacteristic
53C2×C3×C3⋊Dic3C2×C411yescharacteristic
54C2×C3×C3⋊Dic3C2×C411yescharacteristic
55C3×C4⋊(C3⋊D3)—22no—
56C3×C4×C3⋊D3—21no—
57C3×C4×C3⋊D3—21no—
58C3×C4×C3⋊D3—21no—
59C3×C4×C3⋊D3—21no—
60C32×C3⋊C8—21no—
61C32×C3⋊C8—21no—
62C32×C3⋊C8—21no—
63C32×C3⋊C8D412yescomplemented
64C3×#435—91no—
65#4836—31no—
66#4706—31no—
67C2×C4⋊(C3⋊D3)C3×C411yescharacteristic
68C2×C4×C3⋊D3C22×C311yescharacteristic
69C2×C4×C3⋊D3C22×C311yescharacteristic
70C2×C3×D12—31no—
71C2×C3×D12—31no—
72C2×C3×D12—61no—
73C2×C3×C4×D3—31no—
74C2×C3×C4×D3—31no—
75C2×C3×C4×D3—31no—
76C2×C3×C4×D3—31no—
77C2×C3×C4×D3—61no—
78C2×C3×C4×D3—61no—
79C2×C32×C8—31no—
80C2×C32×C8—31no—
81C2×C32×C8—31no—
82C2×C32×C8—31no—
83C32×C42—21no—
84C32×C42—21no—
85C32×C42—21no—
86C32×C42—41no—
87C32×C42C2×D311yescharacteristic
88C32×C42C2×D311yescharacteristic
89C32×C42C22×C311yescharacteristic
90#3752C3×C411yescharacteristic
91#3752C3×C411yescharacteristic
92C4⋊(C3⋊Dic3)C3×C411yescharacteristic
93C3×(C2×D3)⋊C4—31no—
94C3×(C2×D3)⋊C4—31no—
95C3×(C2×D3)⋊C4—31no—
96C3×(C2×D3)⋊C4—31no—
97C3×(C2×D3)⋊C4—61no—
98C3×(C2×D3)⋊C4—61no—
99C3×C4⋊Dic3—31no—
100C3×C4⋊Dic3—31no—
101C3×C4⋊Dic3—61no—
102C2×C3×C3⋊C8—21no—
103C2×C3×C3⋊C8—21no—
104C2×C3×C3⋊C8—21no—
105C2×C3×C3⋊C8—21no—
106C2×C3×C3⋊C8C2×D311yescharacteristic
107C2×C3×C3⋊C8C2×D311yescharacteristic
108C2×C3×C3⋊C8C2×D311yescharacteristic
109C2×C3×C3⋊C8C2×D311yescharacteristic
110C2×C3×C3⋊C8C22×C311yescharacteristic
111C2×C3×C3⋊C8C22×C311yescharacteristic
112C2×C3×C3⋊C8C22×C311yescharacteristic
113C2×C3×C3⋊C8C22×C311yescharacteristic
114C3×ΓL(1,𝔽25)—62no—
115C3×ΓL(1,𝔽25)—62no—
116C3×D3×C8—62no—
117C3×D3×C8—62no—
118#3712—22no—
119#3710—22no—
120C22×C33C22×C411yescharacteristic
121C2×C3×C3⋊D3—21no—
122C2×C3×C3⋊D3—21no—
123C2×C3×C3⋊D3—21no—
124C2×C3×C3⋊D3—21no—
125C2×C3×C3⋊D3—21no—
126C2×C3×C3⋊D3M1612yescomplemented
127C33×C4—21no—
128C33×C4—21no—
129C33×C4C2×D411yescharacteristic
130C33×C4#4111yescharacteristic
131C3×C3⋊Dic3—21no—
132C3×C3⋊Dic3—21no—
133C2×C3×M16—91no—
134C22×C3×C8—91no—
135C3×C4×D4—91no—
136C2×ΓL(1,𝔽25)—31no—
137C2×ΓL(1,𝔽25)—31no—
138C2×D3×C8—31no—
139C2×D3×C8—31no—
140C4×D12—31no—
141C4×D12—31no—
142C4×D12—61no—
143C3×C4⋊C8—31no—
144C3×C4⋊C8—31no—
145C3×C4⋊C8—61no—
146C3×C22⋊C8—91no—
147C3×C22⋊C8—91no—
148C3×#97—31no—
149C3×#97—31no—
150C3×#97—61no—
151(C2×D3)⋊C8—31no—
152(C2×D3)⋊C8—31no—
153(C2×D3)⋊C8—31no—
154(C2×D3)⋊C8—31no—
155C4⋊(C3⋊C8)C3×D311yescharacteristic, complemented
156#803C3×D311yescharacteristic, complemented
157C22×C3⋊D3C2×C3×C411yescharacteristic
158C22×C3⋊D3C2×C3×C411yescharacteristic
159C22×C3×D3—31no—
160C22×C3×D3—31no—
161C22×C3×D3—31no—
162C22×C3×D3—31no—
163C22×C3×D3—61no—
164C22×C3×D3—61no—
165C2×C32×C4—21no—
166C2×C32×C4—21no—
167C2×C32×C4—21no—
168C2×C32×C4—21no—
169C2×C32×C4—21no—
170C2×C32×C4—21no—
171C2×C32×C4—21no—
172C2×C32×C4—21no—
173C2×C32×C4—21no—
174C2×C32×C4—41no—
175C2×C32×C4—41no—
176C2×C32×C4—41no—
177C2×C32×C4C4×D311yescharacteristic
178C2×C32×C4C4×D311yescharacteristic
179C2×C32×C4C4×D311yescharacteristic
180C2×C32×C4C4×D311yescharacteristic
181C2×C32×C4C2×C3×C411yescharacteristic
182C2×C32×C4C2×C3×C411yescharacteristic
183C2×C32×C4C22×D311yescharacteristic
184C2×C32×C4C22×D311yescharacteristic
185C2×C32×C4C23×C311yescharacteristic
186C2×C3⋊Dic3C2×C3×C411yescharacteristic
187C2×C3⋊Dic3C2×C3×C411yescharacteristic
188C4⋊(C3⋊D3)—22no—
189C4×C3⋊D3—21no—
190C4×C3⋊D3—21no—
191C4×C3⋊D3—21no—
192C4×C3⋊D3—21no—
193C2×C3×Dic3—31no—
194C2×C3×Dic3—31no—
195C2×C3×Dic3—31no—
196C2×C3×Dic3—31no—
197C2×C3×Dic3—61no—
198C2×C3×Dic3—61no—
199C3×D12—62no—
200C3×D12—62no—
201C3×D12—64no—
202C3×C4×D3—61no—
203C3×C4×D3—61no—
204C3×C4×D3—61no—
205C3×C4×D3—61no—
206C3×C4×D3—61no—
207C3×C4×D3—61no—
208C3×C4×D3—61no—
209C3×C4×D3—61no—
210C3×C4×D3—121no—
211C3×C4×D3—121no—
212C3×C4×D3—121no—
213C3×C4×D3—121no—
214C32×C8—32no—
215C32×C8—61no—
216C32×C8—61no—
217C32×C8—61no—
218C3×C3⋊C8—22no—
219C3×C3⋊C8—21no—
220C3×C3⋊C8—21no—
221C3×C3⋊C8—21no—
222C3×C3⋊C8—21no—
223C3×C3⋊C8—21no—
224C3×C3⋊C8—21no—
225C3×C3⋊C8—22no—
226C3×C3⋊C8—41no—
227C3×C3⋊C8—41no—
228C3×C3⋊C8D1212yescomplemented
229C3×C3⋊C8C3×D412yescomplemented
230#435—91noSylow
231C2×C33C4×D411yescharacteristic
232C2×C33C2×M1611yescharacteristic
233C2×C33#13111yescharacteristic
234C3×C3⋊D3—22no—
235C3×C3⋊D3—41no—
236C2×C3×D4—91no—
237C22×C3×C4—91no—
238C22×C3×C4—91no—
239C2×D12—31no—
240C2×D12—31no—
241C2×D12—61no—
242C2×C4×D3—31no—
243C2×C4×D3—31no—
244C2×C4×D3—31no—
245C2×C4×D3—31no—
246C2×C4×D3—61no—
247C2×C4×D3—61no—
248C3×M16—182no—
249C2×C3×C8—31no—
250C2×C3×C8—31no—
251C2×C3×C8—31no—
252C2×C3×C8—31no—
253C2×C3×C8—31no—
254C2×C3×C8—31no—
255C2×C3×C8—31no—
256C2×C3×C8—31no—
257C2×C3×C8—61no—
258C2×C3×C8—61no—
259C2×C3×C8—61no—
260C2×C3×C8—61no—
261C2×C3×C8—182no—
262C3×C4⋊C4—91no—
263C3×C22⋊C4—91no—
264C3×C22⋊C4—91no—
265C3×C42—21no—
266C3×C42—21no—
267C3×C42—21no—
268C3×C42—41no—
269C3×C42D3211yescharacteristic
270C3×C42C2×C3×D311yescharacteristic
271C3×C42C2×C3×D311yescharacteristic
272(C2×D3)⋊C4—31no—
273(C2×D3)⋊C4—31no—
274(C2×D3)⋊C4—31no—
275(C2×D3)⋊C4—31no—
276(C2×D3)⋊C4—61no—
277(C2×D3)⋊C4—61no—
278C4⋊Dic3—31no—
279C4⋊Dic3—31no—
280C4⋊Dic3—61no—
281C2×C3⋊C8C2×C3×D311yescharacteristic
282C2×C3⋊C8C2×C3×D311yescharacteristic
283C2×C3⋊C8C2×C3×D311yescharacteristic
284C2×C3⋊C8C2×C3×D311yescharacteristic
285ΓL(1,𝔽25)—62no—
286ΓL(1,𝔽25)—62no—
287D3×C8—62no—
288D3×C8—62no—
289C22×C32—21no—
290C22×C32—21no—
291C22×C32—21no—
292C22×C32—41no—
293C22×C32C2×C4×D311yescharacteristic
294C22×C32C2×C4×D311yescharacteristic
295C22×C32C22×C3×C411yescharacteristic
296C2×C3⋊D3—21no—
297C2×C3⋊D3—21no—
298C2×C3⋊D3—21no—
299C2×C3⋊D3—21no—
300C2×C3⋊D3—21no—
301C2×C3⋊D3C3×M1612yescomplemented
302C2×C3×D3—32no—
303C2×C3×D3—32no—
304C2×C3×D3—62no—
305C2×C3×D3—61no—
306C2×C3×D3—61no—
307C2×C3×D3—61no—
308C2×C3×D3—61no—
309C2×C3×D3—62no—
310C2×C3×D3—61no—
311C2×C3×D3—61no—
312C2×C3×D3—61no—
313C2×C3×D3—61no—
314C2×C3×D3—61no—
315C2×C3×D3—61no—
316C2×C3×D3—121no—
317C2×C3×D3—121no—
318C2×C3×D3—121no—
319C2×C3×D3—121no—
320C32×C4—21no—
321C32×C4—21no—
322C32×C4—22no—
323C32×C4—22no—
324C32×C4—21no—
325C32×C4—21no—
326C32×C4—21no—
327C32×C4—21no—
328C32×C4—21no—
329C32×C4—21no—
330C32×C4—21no—
331C32×C4—21no—
332C32×C4—21no—
333C32×C4—21no—
334C32×C4—41no—
335C32×C4—41no—
336C32×C4—41no—
337C32×C4—41no—
338C32×C4—41no—
339C32×C4—41no—
340C32×C4—42no—
341C32×C4—42no—
342C32×C4C2×D1211yescharacteristic
343C32×C4#23511yescharacteristic
344C32×C4D3×D411yescharacteristic
345C32×C4#23911yescharacteristic
346C32×C4C2×C3×D411yescharacteristic
347C32×C4C3×#4111yescharacteristic
348C3⋊Dic3—21no—
349C3⋊Dic3—21no—
350C3×Dic3—61no—
351C3×Dic3—61no—
352C3×Dic3—61no—
353C3×Dic3—61no—
354C3×Dic3—121no—
355C3×Dic3—121no—
356C2×M16—91no—
357C22×C8—91no—
358C4×D4—91no—
359C4⋊C8—31no—
360C22⋊C8—91no—
361C22⋊C8—91no—
362#97—31no—
363C33#43511yescharacteristic, complemented, Sylow
364C23×C3—91no—
365C23×C3—91no—
366C22×D3—31no—
367C22×D3—31no—
368C22×D3—31no—
369C22×D3—31no—
370C22×D3—61no—
371C22×D3—61no—
372C3×D4—182no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—41no—
383C2×C3×C4—41no—
384C2×C3×C4—41no—
385C2×C3×C4—91no—
386C2×C3×C4—91no—
387C2×C3×C4—181no—
388C2×C3×C4—181no—
389C2×C3×C4—181no—
390C2×C3×C4—181no—
391C2×C3×C4#62411yescharacteristic
392C2×C3×C4#62411yescharacteristic
393C2×C3×C4C3×C4×D311yescharacteristic
394C2×C3×C4C3×C4×D311yescharacteristic
395C2×C3×C4C3×C4×D311yescharacteristic
396C2×C3×C4C3×C4×D311yescharacteristic
397C2×C3×C4C2×D3211yescharacteristic
398C2×C3×C4C22×C3×D311yescharacteristic
399C2×C3×C4C22×C3×D311yescharacteristic
400C2×Dic3—31no—
401C2×Dic3—31no—
402C2×Dic3—31no—
403C2×Dic3—31no—
404C2×Dic3—61no—
405C2×Dic3—61no—
406D12—62no—
407D12—62no—
408D12—64no—
409C4×D3—61no—
410C4×D3—61no—
411C4×D3—61no—
412C4×D3—61no—
413C4×D3—61no—
414C4×D3—61no—
415C4×D3—61no—
416C4×D3—61no—
417C4×D3—121no—
418C4×D3—121no—
419C4×D3—121no—
420C4×D3—121no—
421C3×C8—32no—
422C3×C8—32no—
423C3×C8—62no—
424C3×C8—62no—
425C3×C8—61no—
426C3×C8—61no—
427C3×C8—61no—
428C3×C8—61no—
429C3×C8—61no—
430C3×C8—61no—
431C3×C8—121no—
432C3×C8—121no—
433C3⋊C8—21no—
434C3⋊C8—21no—
435C3⋊C8—21no—
436C3⋊C8C3×D1212yescomplemented
437C2×C32—21no—
438C2×C32—21no—
439C2×C32—21no—
440C2×C32—21no—
441C2×C32—21no—
442C2×C32—21no—
443C2×C32—21no—
444C2×C32—21no—
445C2×C32—21no—
446C2×C32—41no—
447C2×C32—41no—
448C2×C32—41no—
449C2×C32C4×D1211yescharacteristic
450C2×C32#89311yescharacteristic
451C2×C32#90111yescharacteristic
452C2×C32D3×M1611yescharacteristic
453C2×C32D3×M1611yescharacteristic
454C2×C32#90711yescharacteristic
455C2×C32C3×C4×D411yescharacteristic
456C2×C32C2×C3×M1611yescharacteristic
457C2×C32C3×#13111yescharacteristic
458C3⋊D3—22no—
459C3⋊D3—41no—
460C3×D3—62no—
461C3×D3—62no—
462C3×D3—122no—
463C3×D3—122no—
464C3×D3—121no—
465C3×D3—121no—
466C2×D4—91no—
467C22×C4—91no—
468C22×C4—91no—
469M16—182no—
470C2×C8—31no—
471C2×C8—31no—
472C2×C8—31no—
473C2×C8—31no—
474C2×C8—182no—
475C4⋊C4—91no—
476C22⋊C4—91no—
477C22⋊C4—91no—
478C42C3×D3211yescharacteristic
479C22×C3—21no—
480C22×C3—21no—
481C22×C3—21no—
482C22×C3—41no—
483C22×C3—92no—
484C22×C3—181no—
485C22×C3—181no—
486C22×C3—181no—
487C22×C3—181no—
488C22×C3—181no—
489C22×C3C2×#62411yescharacteristic
490C22×C3C2×C3×C4×D311yescharacteristic
491C22×C3C2×C3×C4×D311yescharacteristic
492C2×D3—32no—
493C2×D3—32no—
494C2×D3—62no—
495C2×D3—61no—
496C2×D3—61no—
497C2×D3—61no—
498C2×D3—61no—
499C2×D3—62no—
500C2×D3—61no—
501C2×D3—61no—
502C2×D3—61no—
503C2×D3—61no—
504C2×D3—61no—
505C2×D3—61no—
506C2×D3—121no—
507C2×D3—121no—
508C2×D3—121no—
509C2×D3—121no—
510C3×C4—22no—
511C3×C4—22no—
512C3×C4—21no—
513C3×C4—21no—
514C3×C4—21no—
515C3×C4—21no—
516C3×C4—21no—
517C3×C4—21no—
518C3×C4—21no—
519C3×C4—21no—
520C3×C4—21no—
521C3×C4—21no—
522C3×C4—21no—
523C3×C4—21no—
524C3×C4—41no—
525C3×C4—41no—
526C3×C4—41no—
527C3×C4—41no—
528C3×C4—42no—
529C3×C4—42no—
530C3×C4—41no—
531C3×C4—41no—
532C3×C4—181no—
533C3×C4—181no—
534C3×C4#379911yescharacteristic
535C3×C4D3×D1211yescharacteristic
536C3×C4C2×C3×D1211yescharacteristic
537C3×C4C3×#23511yescharacteristic
538C3×C4C3×D3×D411yescharacteristic
539C3×C4C3×#23911yescharacteristic
540Dic3—61no—
541Dic3—61no—
542Dic3—61no—
543Dic3—61no—
544Dic3—121no—
545Dic3—121no—
546C32—21no—
547C32—21no—
548C32—21no—
549C32—41no—
550C32#470611yescharacteristic, complemented
551C32#483611yescharacteristic, complemented
552C32C3×#43511yescharacteristic, complemented
553C23—91no—
554C23—91no—
555D4—182no—
556C2×C4—91no—
557C2×C4—91no—
558C2×C4—181no—
559C2×C4—181no—
560C2×C4—181no—
561C2×C4—181no—
562C2×C4C3×#62411yescharacteristic
563C2×C4C3×#62411yescharacteristic
564C2×C4C2×C3×D3211yescharacteristic
565C8—32no—
566C8—61no—
567C8—61no—
568C8—61no—
569C2×C3—21no—
570C2×C3—21no—
571C2×C3—21no—
572C2×C3—21no—
573C2×C3—21no—
574C2×C3—21no—
575C2×C3—21no—
576C2×C3—21no—
577C2×C3—21no—
578C2×C3—41no—
579C2×C3—41no—
580C2×C3—41no—
581C2×C3—182no—
582C2×C3—361no—
583C2×C3#6381711yescharacteristic
584C2×C3#6381811yescharacteristic
585C2×C3#6389411yescharacteristic
586C2×C3C3×C4×D1211yescharacteristic
587C2×C3C3×#89311yescharacteristic
588C2×C3C3×#90111yescharacteristic
589C2×C3C3×D3×M1611yescharacteristic
590C2×C3C3×D3×M1611yescharacteristic
591C2×C3C3×#90711yescharacteristic
592D3—62no—
593D3—62no—
594D3—122no—
595D3—122no—
596D3—121no—
597D3—121no—
598C22—92no—
599C22—181no—
600C22—181no—
601C22—181no—
602C22—181no—
603C22—181no—
604C22C2×C3×#62411yescharacteristic
605C4—21no—
606C4—21no—
607C4—181no—
608C4—181no—
609C4C3×#379911yescharacteristic
610C4C3×D3×D1211yescharacteristic
611C3—21no—
612C3—21no—
613C3—21no—
614C3—41no—
615C3#1059032811yescharacteristic, direct product factor
616C3C3×#470611yescharacteristic, complemented
617C3C3×#483611yescharacteristic, complemented
618C2—182no—
619C2—361no—
620C2C3×#6381711yescharacteristic
621C2C3×#6381811yescharacteristic
622C2C3×#6389411yescharacteristic
subgroupG/H
centerC2×C3×C4C2×D32
commutatorC22×C32C22×C3×C4
FrattiniC2×C4C2×C3×D32
FittingC33×C42C22
socleC22×C33C22×C4
prime radicalC2×C3×C4⋊(C3⋊D3)C4
cosocleC2×C32×C4C23×C3
hypercenterC3×C42D32
hypocenterC32C3×#435
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C3×C4 ◁ C3×C42

Complements

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

NH ≅ G/Ntype
2. C2×C3×#3712C2semidirect
3. C2×C3×#3710C2semidirect
4. C32×C4⋊(C3⋊C8)C2semidirect
5. C32×#803C2semidirect
6. C3×#63557C2semidirect
7. C3×#63557C2semidirect
10. #10590328C3direct (N × H)
32. C2×#3712C2×C3semidirect
33. C2×#3710C2×C3semidirect
41. C3×C4⋊(C3⋊C8)D3semidirect
42. C3×C4⋊(C3⋊C8)C2×C3semidirect
44. C3×#803D3semidirect
45. C3×#803C2×C3semidirect
46. #63557C2×C3semidirect
47. #63557C2×C3semidirect
63. C32×C3⋊C8D4semidirect
126. C2×C3×C3⋊D3M16semidirect
155. C4⋊(C3⋊C8)C3×D3semidirect
156. #803C3×D3semidirect
228. C3×C3⋊C8D12semidirect
229. C3×C3⋊C8C3×D4semidirect
301. C2×C3⋊D3C3×M16semidirect
363. C33#435semidirect
436. C3⋊C8C3×D12semidirect
550. C32#4706semidirect
551. C32#4836semidirect
552. C32C3×#435semidirect
615. C3#10590328direct (N × H)
616. C3C3×#4706semidirect
617. C3C3×#4836semidirect

Maximal subgroups

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

subgroupindex
C3×C4×C4⋊(C3⋊D3)2
C2×C3×#37122
C2×C3×#37102
C32×C4⋊(C3⋊C8)2
C32×#8032
C3×#635572
C3×#48363
C3×#47063
#105903283