Finite Group Databasebeta

← C3×#10595169 #13174732

Subgroups — C3×#10595169 #13174732

Order 1728.

1814 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×C3⋊D3C211yesmaximal, characteristic
2C22×C3×#624C211yesmaximal, characteristic, complemented
3C32×#935C212yesmaximal, complemented
4C3×#63975C212yesmaximal, complemented
5C3×#63974C211yesmaximal, characteristic, complemented
6C3×#63974C212yesmaximal, complemented
7C3×#63966C212yesmaximal, complemented
8C3×#63897C212yesmaximal, complemented
9C3×#63883C212yesmaximal, complemented
10C3×D3×#123—32nomaximal
11#10595169C311yesmaximal, characteristic, direct product factor
12C23×C3×C3⋊D3C2211yescharacteristic
13C23×C3×C3⋊D3C2211yescharacteristic
14C2×C33×D4C2211yescharacteristic
15C2×C3×#638C2211yescharacteristic
16C2×C3×#638C2211yescharacteristic
17C3×D4×C3⋊D3—24no—
18C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
19C2×C3×C4×C3⋊D3C2211yescharacteristic
20C22×C32×Dic3C2212yescomplemented
21C2×C3×#624—24no—
22C2×C3×#624C2212yes—
23C2×C3×#624C2212yes—
24C2×C3×#624C2212yescomplemented
25C32×#217C2212yescomplemented
26C32×#217C2214yescomplemented
27C32×Dic3⋊C4C2214yescomplemented
28C3×Dic3⋊Dic3C2214yescomplemented
29C3×#3722C2214yescomplemented
30C3×#3722C2212yescomplemented
31C2×D4×C3⋊D3C2×C311yescharacteristic
32C2×C3×D3×D4—32no—
33C2×C3×D3×D4—61no—
34C22×C3×C4×D3—32no—
35C22×#624C2×C311yescharacteristic, complemented
36C32×#123—32no—
37C3×#935—22no—
38C3×#935D312yescomplemented
39C3×#935C2×C312yescomplemented
40C3×#929—32no—
41C3×#894—34no—
42C3×D3×C4⋊C4—34no—
43C3×#886—32no—
44C3×#883—34no—
45C3×D3×C22⋊C4—32no—
46C3×D3×C22⋊C4—34no—
47#63975C2×C312yescomplemented
48#63974C2×C312yescomplemented
49#63974C2×C311yescharacteristic, complemented
50#63966C2×C312yescomplemented
51#63897C2×C312yescomplemented
52#63883C2×C312yescomplemented
53C23×C33C2311yescharacteristic
54C23×C33C2311yescharacteristic
55C22×C3×C3⋊D3—24no—
56C22×C3×C3⋊D3—22no—
57C22×C3×C3⋊D3—24no—
58C22×C3×C3⋊D3D414yes—
59C22×C3×C3⋊D3C2311yescharacteristic
60C22×C3×C3⋊D3C2311yescharacteristic
61C22×C3×C3⋊D3C2311yescharacteristic
62C33×D4—22no—
63C2×C33×C4C2311yescharacteristic
64C3×#638—22no—
65C3×#638—22no—
66C2×C3×C3⋊Dic3C2311yescharacteristic
67C3×C4⋊(C3⋊D3)—22no—
68C3×C4×C3⋊D3—22no—
69C2×C32×Dic3—24no—
70C2×C32×Dic3C2314yes—
71C2×C32×Dic3C2314yes—
72C3×#624—24no—
73C3×#624—24no—
74C3×#624—24no—
75C2×C3×#123—91no—
76D3×#123—32no—
77C23×C3⋊D3C22×C311yescharacteristic
78C23×C3⋊D3C22×C311yescharacteristic
79C23×C3×D3—32no—
80C23×C3×D3—32no—
81C23×C3×D3—61no—
82C23×C3×D3—61no—
83C2×C32×D4—21no—
84C2×C32×D4—22no—
85C2×C32×D4—41no—
86C2×C32×D4C2×D312yes—
87C2×C32×D4C22×C311yescharacteristic
88C22×C32×C4—32no—
89C2×#638C22×C311yescharacteristic
90C2×#638C22×C311yescharacteristic
91D4×C3⋊D3—24no—
92C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
93C2×C4×C3⋊D3C22×C311yescharacteristic
94C2×C3×#67—32no—
95C2×C3×#67—32no—
96C2×C3×#67—61no—
97C2×C3×#67—61no—
98C22×C3×Dic3—22no—
99C22×C3×Dic3C2×D312yescomplemented
100C22×C3×Dic3C22×C312yescomplemented
101C3×D3×D4—68no—
102C3×D3×D4—68no—
103C2×C3×D12—32no—
104C2×C3×D12—61no—
105C2×C3×C4×D3—32no—
106C2×C3×C4×D3—34no—
107C2×C3×C4×D3—34no—
108C2×C3×C4×D3—34no—
109C2×C3×C4×D3—68no—
110C2×C3×C4×D3—61no—
111C2×#624—24no—
112C2×#624C22×C312yes—
113C2×#624C22×C312yes—
114C2×#624C22×C312yescomplemented
115C32×C4⋊C4—34no—
116C32×C22⋊C4—34no—
117C32×C22⋊C4—32no—
118C3×#217—22no—
119C3×#217—24no—
120C3×#217C2×D314yescomplemented
121C3×#217C2×D312yescomplemented
122C3×#217C22×C312yescomplemented
123C3×#217C22×C314yescomplemented
124C3×(C2×D3)⋊C4—34no—
125C3×(C2×D3)⋊C4—34no—
126C3×(C2×D3)⋊C4—34no—
127C3×C4⋊Dic3—34no—
128C3×Dic3⋊C4—24no—
129C3×Dic3⋊C4—34no—
130C3×Dic3⋊C4C2×D314yescomplemented
131C3×Dic3⋊C4C22×C314yescomplemented
132Dic3⋊Dic3C22×C314yescomplemented
133#3722C22×C314yescomplemented
134#3722C22×C312yescomplemented
135C22×C33—22no—
136C22×C33—21no—
137C22×C33—22no—
138C22×C33C2×D412yes—
139C22×C33C2411yescharacteristic
140C2×C3×C3⋊D3—22no—
141C2×C3×C3⋊D3—28no—
142C2×C3×C3⋊D3—21no—
143C2×C3×C3⋊D3—22no—
144C2×C3×C3⋊D3—44no—
145C2×C3×C3⋊D3C2×D412yes—
146C2×C3×C3⋊D3C2×D412yes—
147C2×C3×C3⋊D3#4114yes—
148C33×C4—21no—
149C3×C3⋊Dic3—21no—
150C32×Dic3—24no—
151C32×Dic3—24no—
152C22×C3×D4—91no—
153C23×C3×C4—91no—
154C2×D3×D4—32no—
155C2×D3×D4—61no—
156C22×C4×D3—32no—
157C3×#123—32no—
158C3×#123—32no—
159C3×#123—62no—
160C3×#123—92no—
161C3×#123—92no—
162C3×#123—92no—
163C2×C3×C4⋊C4—92no—
164C2×C3×C22⋊C4—91no—
165C2×C3×C22⋊C4—92no—
166#935C3×D312yescomplemented
167#929—32no—
168#894—34no—
169D3×C4⋊C4—34no—
170#886—32no—
171#883—34no—
172D3×C22⋊C4—32no—
173D3×C22⋊C4—34no—
174C23×C32—21no—
175C23×C32—21no—
176C23×C32—22no—
177C23×C32—22no—
178C23×C32—41no—
179C23×C32—41no—
180C23×C32C22×D312yes—
181C23×C32C22×D312yes—
182C23×C32C23×C311yescharacteristic
183C23×C32C23×C311yescharacteristic
184C22×C3⋊D3—22no—
185C22×C3⋊D3—24no—
186C22×C3⋊D3—24no—
187C22×C3⋊D3C3×D414yes—
188C22×C3⋊D3C23×C311yescharacteristic
189C22×C3⋊D3C23×C311yescharacteristic
190C22×C3⋊D3C23×C311yescharacteristic
191C22×C3×D3—32no—
192C22×C3×D3—38no—
193C22×C3×D3—32no—
194C22×C3×D3—32no—
195C22×C3×D3—61no—
196C22×C3×D3—64no—
197C22×C3×D3—61no—
198C22×C3×D3—61no—
199C22×C3×D3—68no—
200C22×C3×D3—68no—
201C22×C3×D3—64no—
202C22×C3×D3—64no—
203C22×C3×D3—124no—
204C22×C3×D3—124no—
205C32×D4—22no—
206C32×D4—24no—
207C32×D4—24no—
208C32×D4—44no—
209C32×D4—44no—
210C2×C32×C4—21no—
211C2×C32×C4—22no—
212C2×C32×C4—34no—
213C2×C32×C4—34no—
214C2×C32×C4—41no—
215C2×C32×C4—64no—
216C2×C32×C4C22×D312yes—
217C2×C32×C4C23×C311yescharacteristic
218#638—22no—
219#638—22no—
220C2×C3⋊Dic3C23×C311yescharacteristic
221C4⋊(C3⋊D3)—22no—
222C4×C3⋊D3—22no—
223C3×#67—64no—
224C3×#67—64no—
225C3×#67—64no—
226C3×#67—64no—
227C2×C3×Dic3—24no—
228C2×C3×Dic3—24no—
229C2×C3×Dic3—24no—
230C2×C3×Dic3—24no—
231C2×C3×Dic3—32no—
232C2×C3×Dic3—44no—
233C2×C3×Dic3—61no—
234C2×C3×Dic3C22×D314yes—
235C2×C3×Dic3C22×D314yes—
236C2×C3×Dic3C23×C314yes—
237C2×C3×Dic3C23×C314yes—
238C3×D12—64no—
239C3×D12—64no—
240C3×C4×D3—68no—
241C3×C4×D3—68no—
242C3×C4×D3—68no—
243C3×C4×D3—64no—
244C3×C4×D3—64no—
245#624—24no—
246#624—24no—
247#624—24no—
248C2×#123—91noSylow
249C2×C33—22no—
250C2×C33—41no—
251C2×C33C22×D411yescharacteristic
252C2×C33C2×#4112yes—
253C3×C3⋊D3—22no—
254C3×C3⋊D3—41no—
255C3×C3⋊D3#12314yescomplemented
256C24×C3—91no—
257C24×C3—91no—
258C23×D3—32no—
259C23×D3—32no—
260C23×D3—61no—
261C23×D3—61no—
262C2×C3×D4—21no—
263C2×C3×D4—22no—
264C2×C3×D4—41no—
265C2×C3×D4—91no—
266C2×C3×D4—91no—
267C2×C3×D4—91no—
268C2×C3×D4—184no—
269C2×C3×D4D3211yescharacteristic
270C2×C3×D4C2×C3×D312yes—
271C22×C3×C4—32no—
272C22×C3×C4—32no—
273C22×C3×C4—62no—
274C22×C3×C4—92no—
275C22×C3×C4—92no—
276C22×C3×C4—92no—
277C22×C3×C4—91no—
278C22×C3×C4—184no—
279C2×#67—32no—
280C2×#67—32no—
281C2×#67—61no—
282C2×#67—61no—
283C22×Dic3C2×C3×D312yescomplemented
284D3×D4—68no—
285D3×D4—68no—
286C2×D12—32no—
287C2×D12—61no—
288C2×C4×D3—32no—
289C2×C4×D3—34no—
290C2×C4×D3—34no—
291C2×C4×D3—34no—
292C2×C4×D3—61no—
293C2×C4×D3—68no—
294C3×C4⋊C4—34no—
295C3×C4⋊C4—34no—
296C3×C4⋊C4—64no—
297C3×C4⋊C4—94no—
298C3×C22⋊C4—32no—
299C3×C22⋊C4—34no—
300C3×C22⋊C4—34no—
301C3×C22⋊C4—32no—
302C3×C22⋊C4—62no—
303C3×C22⋊C4—64no—
304C3×C22⋊C4—92no—
305C3×C22⋊C4—94no—
306#217C2×C3×D314yescomplemented
307#217C2×C3×D312yescomplemented
308(C2×D3)⋊C4—34no—
309(C2×D3)⋊C4—34no—
310(C2×D3)⋊C4—34no—
311C4⋊Dic3—34no—
312Dic3⋊C4—34no—
313Dic3⋊C4C2×C3×D314yescomplemented
314C22×C32—21no—
315C22×C32—24no—
316C22×C32—22no—
317C22×C32—22no—
318C22×C32—22no—
319C22×C32—24no—
320C22×C32—22no—
321C22×C32—21no—
322C22×C32—22no—
323C22×C32—22no—
324C22×C32—24no—
325C22×C32—41no—
326C22×C32—42no—
327C22×C32—42no—
328C22×C32—42no—
329C22×C32—42no—
330C22×C32—42no—
331C22×C32—44no—
332C22×C32—44no—
333C22×C32—82no—
334C22×C32—82no—
335C22×C32D3×D414yes—
336C22×C32C2×C3×D412yes—
337C22×C32C23×D312yes—
338C22×C32C24×C311yescharacteristic
339C2×C3⋊D3—21no—
340C2×C3⋊D3—22no—
341C2×C3⋊D3—28no—
342C2×C3⋊D3—22no—
343C2×C3⋊D3—44no—
344C2×C3⋊D3C2×C3×D412yes—
345C2×C3⋊D3C2×C3×D412yes—
346C2×C3⋊D3C3×#4114yes—
347C2×C3×D3—34no—
348C2×C3×D3—38no—
349C2×C3×D3—34no—
350C2×C3×D3—62no—
351C2×C3×D3—64no—
352C2×C3×D3—62no—
353C2×C3×D3—616no—
354C2×C3×D3—64no—
355C2×C3×D3—62no—
356C2×C3×D3—62no—
357C2×C3×D3—64no—
358C2×C3×D3—128no—
359C2×C3×D3—122no—
360C2×C3×D3—122no—
361C2×C3×D3—128no—
362C2×C3×D3—128no—
363C32×C4—21no—
364C32×C4—22no—
365C32×C4—22no—
366C32×C4—42no—
367C32×C4—42no—
368C32×C4—64no—
369C32×C4—64no—
370C3⋊Dic3—21no—
371C3×Dic3—24no—
372C3×Dic3—24no—
373C3×Dic3—24no—
374C3×Dic3—24no—
375C3×Dic3—44no—
376C3×Dic3—44no—
377C3×Dic3—62no—
378C3×Dic3—62no—
379C22×D4—91no—
380C23×C4—91no—
381#123—32no—
382#123—92no—
383#123—92no—
384#123—92no—
385C2×C4⋊C4—92no—
386C2×C22⋊C4—91no—
387C2×C22⋊C4—92no—
388C33C2×#12311yescharacteristic, complemented, Sylow
389C23×C3—22no—
390C23×C3—21no—
391C23×C3—21no—
392C23×C3—22no—
393C23×C3—41no—
394C23×C3—41no—
395C23×C3—91no—
396C23×C3—91no—
397C23×C3—94no—
398C23×C3—91no—
399C23×C3—184no—
400C23×C3—182no—
401C23×C3—184no—
402C23×C3C2×D3211yescharacteristic
403C23×C3C2×D3211yescharacteristic
404C23×C3C22×C3×D312yes—
405C23×C3C22×C3×D312yes—
406C22×D3—32no—
407C22×D3—32no—
408C22×D3—38no—
409C22×D3—32no—
410C22×D3—61no—
411C22×D3—64no—
412C22×D3—61no—
413C22×D3—61no—
414C22×D3—68no—
415C22×D3—64no—
416C22×D3—68no—
417C22×D3—64no—
418C22×D3—124no—
419C22×D3—124no—
420C3×D4—24no—
421C3×D4—22no—
422C3×D4—24no—
423C3×D4—44no—
424C3×D4—44no—
425C3×D4—182no—
426C3×D4—182no—
427C3×D4—182no—
428C2×C3×C4—21no—
429C2×C3×C4—22no—
430C2×C3×C4—34no—
431C2×C3×C4—34no—
432C2×C3×C4—34no—
433C2×C3×C4—34no—
434C2×C3×C4—41no—
435C2×C3×C4—64no—
436C2×C3×C4—64no—
437C2×C3×C4—64no—
438C2×C3×C4—64no—
439C2×C3×C4—91no—
440C2×C3×C4—124no—
441C2×C3×C4—182no—
442C2×C3×C4—184no—
443C2×C3×C4—184no—
444C2×C3×C4—184no—
445C2×C3×C4C2×D3211yescharacteristic
446C2×C3×C4C22×C3×D312yes—
447#67—64no—
448#67—64no—
449#67—64no—
450#67—64no—
451C2×Dic3—24no—
452C2×Dic3—32no—
453C2×Dic3—61no—
454C2×Dic3C22×C3×D314yes—
455C2×Dic3C22×C3×D314yes—
456D12—64no—
457D12—64no—
458C4×D3—68no—
459C4×D3—68no—
460C4×D3—68no—
461C4×D3—64no—
462C4×D3—64no—
463C2×C32—24no—
464C2×C32—22no—
465C2×C32—22no—
466C2×C32—21no—
467C2×C32—22no—
468C2×C32—24no—
469C2×C32—41no—
470C2×C32—42no—
471C2×C32—42no—
472C2×C32—44no—
473C2×C32—41no—
474C2×C32—42no—
475C2×C32—42no—
476C2×C32—82no—
477C2×C32—82no—
478C2×C32—82no—
479C2×C32C2×D3×D412yes—
480C2×C32D3×#4114yes—
481C2×C32C22×C3×D411yescharacteristic
482C2×C32C2×C3×#4112yes—
483C3⋊D3—22no—
484C3⋊D3—41no—
485C3⋊D3C3×#12314yescomplemented
486C3×D3—38no—
487C3×D3—64no—
488C3×D3—64no—
489C3×D3—122no—
490C3×D3—122no—
491C3×D3—122no—
492C24—91no—
493C24—91no—
494C2×D4—91no—
495C2×D4—91no—
496C2×D4—91no—
497C2×D4—184no—
498C2×D4C3×D3211yescharacteristic
499C22×C4—32no—
500C22×C4—92no—
501C22×C4—92no—
502C22×C4—92no—
503C22×C4—91no—
504C22×C4—184no—
505C4⋊C4—34no—
506C4⋊C4—94no—
507C22⋊C4—32no—
508C22⋊C4—34no—
509C22⋊C4—92no—
510C22⋊C4—94no—
511C22×C3—22no—
512C22×C3—24no—
513C22×C3—22no—
514C22×C3—22no—
515C22×C3—21no—
516C22×C3—22no—
517C22×C3—24no—
518C22×C3—21no—
519C22×C3—22no—
520C22×C3—22no—
521C22×C3—24no—
522C22×C3—42no—
523C22×C3—42no—
524C22×C3—44no—
525C22×C3—42no—
526C22×C3—44no—
527C22×C3—42no—
528C22×C3—41no—
529C22×C3—42no—
530C22×C3—82no—
531C22×C3—82no—
532C22×C3—94no—
533C22×C3—92no—
534C22×C3—92no—
535C22×C3—188no—
536C22×C3—182no—
537C22×C3—182no—
538C22×C3—181no—
539C22×C3—364no—
540C22×C3#381112yes—
541C22×C3C3×D3×D414yes—
542C22×C3C22×D3211yescharacteristic
543C22×C3C23×C3×D312yes—
544C2×D3—34no—
545C2×D3—38no—
546C2×D3—34no—
547C2×D3—62no—
548C2×D3—64no—
549C2×D3—62no—
550C2×D3—616no—
551C2×D3—64no—
552C2×D3—62no—
553C2×D3—62no—
554C2×D3—64no—
555C2×D3—128no—
556C2×D3—122no—
557C2×D3—122no—
558C2×D3—128no—
559C2×D3—128no—
560C3×C4—22no—
561C3×C4—21no—
562C3×C4—22no—
563C3×C4—42no—
564C3×C4—42no—
565C3×C4—64no—
566C3×C4—64no—
567C3×C4—64no—
568C3×C4—64no—
569C3×C4—124no—
570C3×C4—124no—
571C3×C4—181no—
572Dic3—24no—
573Dic3—24no—
574Dic3—62no—
575Dic3—62no—
576C32—21no—
577C32—22no—
578C32—41no—
579C32D3×#12312yescomplemented
580C32C2×C3×#12311yescharacteristic, complemented
581C23—91no—
582C23—91no—
583C23—94no—
584C23—91no—
585C23—184no—
586C23—182no—
587C23—184no—
588C23C2×C3×D3211yescharacteristic
589C23C2×C3×D3211yescharacteristic
590D4—22no—
591D4—182no—
592D4—182no—
593D4—182no—
594C2×C4—34no—
595C2×C4—34no—
596C2×C4—64no—
597C2×C4—91no—
598C2×C4—182no—
599C2×C4—184no—
600C2×C4—184no—
601C2×C4—184no—
602C2×C4C2×C3×D3211yescharacteristic
603C2×C3—22no—
604C2×C3—24no—
605C2×C3—21no—
606C2×C3—22no—
607C2×C3—24no—
608C2×C3—22no—
609C2×C3—42no—
610C2×C3—44no—
611C2×C3—42no—
612C2×C3—41no—
613C2×C3—42no—
614C2×C3—41no—
615C2×C3—42no—
616C2×C3—82no—
617C2×C3—82no—
618C2×C3—82no—
619C2×C3—94no—
620C2×C3—182no—
621C2×C3—361no—
622C2×C3#6431212yes—
623C2×C3C2×#381111yescharacteristic
624C2×C3C2×C3×D3×D412yes—
625C2×C3C3×D3×#4114yes—
626D3—38no—
627D3—64no—
628D3—64no—
629D3—122no—
630D3—122no—
631D3—122no—
632C22—22no—
633C22—21no—
634C22—22no—
635C22—92no—
636C22—94no—
637C22—92no—
638C22—188no—
639C22—182no—
640C22—181no—
641C22—182no—
642C22—364no—
643C22C3×#381112yes—
644C22C22×C3×D3211yescharacteristic
645C4—21no—
646C4—64no—
647C4—64no—
648C4—181no—
649C3—21no—
650C3—22no—
651C3—41no—
652C3#1059516911yescharacteristic, direct product factor
653C3C3×D3×#12312yescomplemented
654C2—22no—
655C2—41no—
656C2—94no—
657C2—182no—
658C2—361no—
659C2C3×#6431212yes—
660C2C2×C3×#381111yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC2×C33×D4C22
socleC22×C33C24
prime radicalC2×C3×D4×C3⋊D3C2
hypercenterC2×C3×D4D32
hypocenterC32C2×C3×#123
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×D4

Complements

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

NH ≅ G/Ntype
2. C22×C3×#624C2semidirect
3. C32×#935C2semidirect
4. C3×#63975C2semidirect
5. C3×#63974C2semidirect
6. C3×#63974C2semidirect
7. C3×#63966C2semidirect
8. C3×#63897C2semidirect
9. C3×#63883C2semidirect
11. #10595169C3direct (N × H)
20. C22×C32×Dic3C22semidirect
24. C2×C3×#624C22semidirect
25. C32×#217C22semidirect
26. C32×#217C22semidirect
27. C32×Dic3⋊C4C22semidirect
28. C3×Dic3⋊Dic3C22semidirect
29. C3×#3722C22semidirect
30. C3×#3722C22semidirect
35. C22×#624C2×C3semidirect
38. C3×#935D3semidirect
39. C3×#935C2×C3semidirect
47. #63975C2×C3semidirect
48. #63974C2×C3semidirect
49. #63974C2×C3semidirect
50. #63966C2×C3semidirect
51. #63897C2×C3semidirect
52. #63883C2×C3semidirect
99. C22×C3×Dic3C2×D3semidirect
100. C22×C3×Dic3C22×C3semidirect
114. C2×#624C22×C3semidirect
120. C3×#217C2×D3semidirect
121. C3×#217C2×D3semidirect
122. C3×#217C22×C3semidirect
123. C3×#217C22×C3semidirect
130. C3×Dic3⋊C4C2×D3semidirect
131. C3×Dic3⋊C4C22×C3semidirect
132. Dic3⋊Dic3C22×C3semidirect
133. #3722C22×C3semidirect
134. #3722C22×C3semidirect
166. #935C3×D3semidirect
255. C3×C3⋊D3#123semidirect
283. C22×Dic3C2×C3×D3semidirect
306. #217C2×C3×D3semidirect
307. #217C2×C3×D3semidirect
313. Dic3⋊C4C2×C3×D3semidirect
388. C33C2×#123semidirect
485. C3⋊D3C3×#123semidirect
579. C32D3×#123semidirect
580. C32C2×C3×#123semidirect
652. C3#10595169direct (N × H)
653. C3C3×D3×#123semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D4×C3⋊D32
C22×C3×#6242
C32×#9352
C3×#639752
C3×#639742
C3×#639662
C3×#638972
C3×#638832
C3×D3×#1233
#105951693