Finite Group Databasebeta

← C3×D3×#835 #13158553

Subgroups — C3×D3×#835 #13158553

Order 1728.

926 conjugacy classes of subgroups.

The subgroup lattice has 620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×D3×Q8C211yesmaximal, characteristic
2C3×D3×C4⋊Dic3C211yesmaximal, characteristic
3C2×C3×D3×C3⋊C8C211yesmaximal, characteristic
4C3×#63662C211yesmaximal, characteristic, complemented
5C32×#835C211yesmaximal, characteristic, complemented
6C3×#63566C211yesmaximal, characteristic, complemented
7C3×#63565C211yesmaximal, characteristic, complemented
8C2×C3×#835—31nomaximal
9C3×D3×#103—31nomaximal
10D3×#835C311yesmaximal, characteristic, direct product factor
11C2×C33×Q8C2211yescharacteristic
12C32×D3×Q8—22no—
13C32×D3×Q8C414yescomplemented
14C2×C32×C4×D3—21no—
15C2×C32×C4×D3C2211yescharacteristic
16C2×C32×Dic6—21no—
17C2×C32×Dic6C2211yescharacteristic
18C2×C3×D3×Dic3—21no—
19C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
20C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
21C32×C4⋊Dic3C2211yescharacteristic
22C2×C32×C3⋊C8C2211yescharacteristic
23C3×Dic3⋊Dic3—21no—
24C3×D3×C3⋊C8—22no—
25C22×C32×Q8—31no—
26C2×C3×D3×Q8—21no—
27C2×C3×D3×Q8D311yescharacteristic
28C2×C3×D3×Q8C2×C311yescharacteristic
29C2×C3×C4⋊Dic3—31no—
30C22×C3×C3⋊C8—31no—
31C2×C3×D3×C8—31no—
32C3×D3×C4⋊C4—31no—
33D3×C4⋊Dic3C2×C311yescharacteristic
34C2×D3×C3⋊C8C2×C311yescharacteristic
35C32×#103—31no—
36#63662C2×C311yescharacteristic, complemented
37C3×#835—21no—
38C3×#835—31no—
39C3×#835—31no—
40C3×#835—31no—
41C3×#835—31no—
42C3×#835—61no—
43C3×#835D311yescharacteristic, direct product factor
44C3×#835C2×C311yescharacteristic, complemented
45C3×#816—31no—
46C3×#810—31no—
47#63566C2×C311yescharacteristic, complemented
48#63565C2×C311yescharacteristic, complemented
49C22×C32×D3D411yescharacteristic
50C33×Q8—21no—
51C33×Q8C2×C412yescomplemented
52C2×C33×C4—21no—
53C2×C33×C4C2311yescharacteristic
54C2×C3×C3⋊Dic3—21no—
55C2×C32×Dic3—21no—
56C2×C32×Dic3—21no—
57C2×C32×Dic3D411yescharacteristic
58C32×C4×D3—24no—
59C32×C4×D3C2×C412yes—
60C32×C4×D3D412yes—
61C32×Dic6—21no—
62C32×Dic6—24no—
63C32×Dic6C2×C412yescomplemented
64C3×D3×Dic3—42no—
65C3×C3⋊(C3⋊C8)—21no—
66C32×C3⋊C8—21no—
67C2×C3×#103—91no—
68C2×#835—31no—
69D3×#103—31no—
70C2×C32×Q8—21no—
71C2×C32×Q8—21no—
72C2×C32×Q8—21no—
73C2×C32×Q8—34no—
74C2×C32×Q8—31no—
75C2×C32×Q8—41no—
76C2×C32×Q8—61no—
77C2×C32×Q8—62no—
78C2×C32×Q8C2×D311yescharacteristic
79C2×C32×Q8C2×D311yescharacteristic
80C2×C32×Q8C22×C311yescharacteristic
81C22×C32×C4—31no—
82C22×C32×C4—61no—
83C22×C3×Dic3—61no—
84C3×D3×Q8—24no—
85C3×D3×Q8—24no—
86C3×D3×Q8—22no—
87C3×D3×Q8—22no—
88C3×D3×Q8Dic314yescomplemented
89C3×D3×Q8C3×C414yescomplemented
90C2×C3×C4×D3—22no—
91C2×C3×C4×D3—21no—
92C2×C3×C4×D3—21no—
93C2×C3×C4×D3—21no—
94C2×C3×C4×D3—61no—
95C2×C3×C4×D3C2×D311yescharacteristic
96C2×C3×C4×D3C22×C311yescharacteristic
97C2×C3×Dic6—22no—
98C2×C3×Dic6—21no—
99C2×C3×Dic6—21no—
100C2×C3×Dic6—21no—
101C2×C3×Dic6C2×D311yescharacteristic
102C2×C3×Dic6C22×C311yescharacteristic
103C2×D3×Dic3—21no—
104C2×C32×C8—31no—
105C32×C4⋊C4—31no—
106C4⋊(C3⋊Dic3)C22×C311yescharacteristic
107C2×C3⋊(C3⋊C8)C22×C311yescharacteristic
108C3×C4⋊Dic3—21no—
109C3×C4⋊Dic3—31no—
110C3×C4⋊Dic3—31no—
111C3×C4⋊Dic3—61no—
112C3×C4⋊Dic3—61no—
113C3×C4⋊Dic3C2×D311yescharacteristic
114C3×C4⋊Dic3C22×C311yescharacteristic
115C3×Dic3⋊C4—61no—
116C2×C3×C3⋊C8—21no—
117C2×C3×C3⋊C8—31no—
118C2×C3×C3⋊C8—31no—
119C2×C3×C3⋊C8—62no—
120C2×C3×C3⋊C8—61no—
121C2×C3×C3⋊C8C2×D311yescharacteristic
122C2×C3×C3⋊C8C22×C311yescharacteristic
123C3×D3×C8—62no—
124Dic3⋊Dic3—21no—
125D3×C3⋊C8—22no—
126C22×C33C2×D411yescharacteristic
127C2×C32×D3C22⋊C412yes—
128C2×C32×D3SD1612yes—
129C2×C32×D3Q1612yes—
130C33×C4—22no—
131C33×C4C22×C411yescharacteristic
132C33×C4C2×D411yescharacteristic
133C3×C3⋊Dic3—41no—
134C32×Dic3—22no—
135C32×Dic3—41no—
136C32×Dic3C22⋊C412yes—
137C22×C3×Q8—31no—
138C22×C3×Q8—31no—
139C22×C3×Q8—61no—
140C2×D3×Q8C3×D311yescharacteristic
141C22×C3×C8—91no—
142C2×C3×C4⋊C4—91no—
143C2×C4⋊Dic3—31no—
144C22×C3⋊C8—31no—
145C2×D3×C8—31no—
146D3×C4⋊C4—31no—
147C3×#103—31no—
148C3×#103—31no—
149C3×#103—61no—
150C3×#103—91no—
151C3×#103—91no—
152C3×#103—91no—
153#835—31no—
154#835—31no—
155#835—31no—
156#835—31no—
157#835—61no—
158#835C3×D311yescharacteristic, direct product factor
159#816—31no—
160#810—31no—
161C23×C32—31no—
162C22×C3×D3—21no—
163C22×C3×D3#6711yescharacteristic
164C22×C3×D3C3×D411yescharacteristic
165C32×Q8—21no—
166C32×Q8—22no—
167C32×Q8—21no—
168C32×Q8—21no—
169C32×Q8—22no—
170C32×Q8—22no—
171C32×Q8—22no—
172C32×Q8—32no—
173C32×Q8—42no—
174C32×Q8—41no—
175C32×Q8—41no—
176C32×Q8—42no—
177C32×Q8—64no—
178C32×Q8—61no—
179C32×Q8C4×D312yescomplemented
180C32×Q8C2×Dic312yescomplemented
181C32×Q8C2×C3×C412yescomplemented
182C2×C32×C4—21no—
183C2×C32×C4—22no—
184C2×C32×C4—21no—
185C2×C32×C4—21no—
186C2×C32×C4—21no—
187C2×C32×C4—21no—
188C2×C32×C4—21no—
189C2×C32×C4—31no—
190C2×C32×C4—32no—
191C2×C32×C4—32no—
192C2×C32×C4—41no—
193C2×C32×C4—41no—
194C2×C32×C4—41no—
195C2×C32×C4—42no—
196C2×C32×C4—64no—
197C2×C32×C4—61no—
198C2×C32×C4—61no—
199C2×C32×C4C22×D311yescharacteristic
200C2×C32×C4C22×D311yescharacteristic
201C2×C32×C4C23×C311yescharacteristic
202C2×C3⋊Dic3—21no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3—21no—
205C2×C3×Dic3—21no—
206C2×C3×Dic3—21no—
207C2×C3×Dic3—21no—
208C2×C3×Dic3—21no—
209C2×C3×Dic3—41no—
210C2×C3×Dic3—61no—
211C2×C3×Dic3—61no—
212C2×C3×Dic3—121no—
213C2×C3×Dic3—122no—
214C2×C3×Dic3#6711yescharacteristic
215C2×C3×Dic3C3×D411yescharacteristic
216C3×C4×D3—28no—
217C3×C4×D3—24no—
218C3×C4×D3—24no—
219C3×C4×D3—22no—
220C3×C4×D3—22no—
221C3×C4×D3—122no—
222C3×C4×D3C2×Dic312yes—
223C3×C4×D3#6712yes—
224C3×C4×D3C2×C3×C412yes—
225C3×C4×D3C3×D412yes—
226C3×Dic6—22no—
227C3×Dic6—28no—
228C3×Dic6—21no—
229C3×Dic6—21no—
230C3×Dic6—24no—
231C3×Dic6—24no—
232C3×Dic6—22no—
233C3×Dic6C2×Dic312yescomplemented
234C3×Dic6C2×C3×C412yescomplemented
235D3×Dic3—42no—
236C32×C8—61no—
237C3⋊(C3⋊C8)—21no—
238C3×C3⋊C8—21no—
239C3×C3⋊C8—21no—
240C3×C3⋊C8—41no—
241C3×C3⋊C8—61no—
242C3×C3⋊C8—61no—
243C3×C3⋊C8—121no—
244C2×#103—91noSylow
245C2×C33C2×C22⋊C411yescharacteristic
246C2×C33C2×SD1611yescharacteristic
247C2×C33C2×Q1611yescharacteristic
248C32×D3#10314yescomplemented
249C2×C3×Q8—21no—
250C2×C3×Q8—21no—
251C2×C3×Q8—21no—
252C2×C3×Q8—34no—
253C2×C3×Q8—34no—
254C2×C3×Q8—31no—
255C2×C3×Q8—31no—
256C2×C3×Q8—41no—
257C2×C3×Q8—61no—
258C2×C3×Q8—64no—
259C2×C3×Q8—61no—
260C2×C3×Q8—61no—
261C2×C3×Q8—62no—
262C2×C3×Q8—62no—
263C2×C3×Q8—62no—
264C2×C3×Q8—64no—
265C2×C3×Q8D3211yescharacteristic
266C2×C3×Q8C2×C3×D311yescharacteristic
267C2×C3×Q8C2×C3×D311yescharacteristic
268C22×C3×C4—31no—
269C22×C3×C4—31no—
270C22×C3×C4—61no—
271C22×C3×C4—61no—
272C22×C3×C4—61no—
273C22×C3×C4—62no—
274C22×C3×C4—181no—
275C22×Dic3—61no—
276D3×Q8—22no—
277D3×Q8C3×Dic314yescomplemented
278C2×C4×D3—21no—
279C2×C4×D3—61no—
280C2×C4×D3C2×C3×D311yescharacteristic
281C2×Dic6—21no—
282C2×Dic6C2×C3×D311yescharacteristic
283C2×C3×C8—31no—
284C2×C3×C8—31no—
285C2×C3×C8—61no—
286C2×C3×C8—91no—
287C2×C3×C8—182no—
288C3×C4⋊C4—31no—
289C3×C4⋊C4—31no—
290C3×C4⋊C4—61no—
291C3×C4⋊C4—91no—
292C3×C4⋊C4—181no—
293C4⋊Dic3—31no—
294C4⋊Dic3—31no—
295C4⋊Dic3—61no—
296C4⋊Dic3—61no—
297C4⋊Dic3C2×C3×D311yescharacteristic
298Dic3⋊C4—61no—
299C2×C3⋊C8—31no—
300C2×C3⋊C8—31no—
301C2×C3⋊C8—61no—
302C2×C3⋊C8—62no—
303C2×C3⋊C8C2×C3×D311yescharacteristic
304D3×C8—62no—
305C22×C32—21no—
306C22×C32—21no—
307C22×C32—21no—
308C22×C32—32no—
309C22×C32—32no—
310C22×C32—32no—
311C22×C32—41no—
312C22×C32D3×D411yescharacteristic
313C22×C32C2×#6711yescharacteristic
314C22×C32C2×C3×D411yescharacteristic
315C2×C3×D3—22no—
316C2×C3×D3—22no—
317C2×C3×D3—22no—
318C2×C3×D3#21512yes—
319C2×C3×D3#21612yes—
320C2×C3×D3#21712yes—
321C2×C3×D3C3×C22⋊C412yes—
322C2×C3×D3C3×SD1612yes—
323C2×C3×D3C3×Q1612yes—
324C32×C4—22no—
325C32×C4—24no—
326C32×C4—22no—
327C32×C4—22no—
328C32×C4—21no—
329C32×C4—21no—
330C32×C4—21no—
331C32×C4—21no—
332C32×C4—21no—
333C32×C4—21no—
334C32×C4—32no—
335C32×C4—41no—
336C32×C4—41no—
337C32×C4—42no—
338C32×C4—42no—
339C32×C4—44no—
340C32×C4—62no—
341C32×C4—121no—
342C32×C4C2×C4×D311yescharacteristic
343C32×C4D3×D411yescharacteristic
344C32×C4C22×Dic311yescharacteristic
345C32×C4C2×#6711yescharacteristic
346C32×C4C22×C3×C411yescharacteristic
347C32×C4C2×C3×D411yescharacteristic
348C3⋊Dic3—41no—
349C3×Dic3—24no—
350C3×Dic3—22no—
351C3×Dic3—22no—
352C3×Dic3—22no—
353C3×Dic3—41no—
354C3×Dic3—41no—
355C3×Dic3—81no—
356C3×Dic3—121no—
357C3×Dic3—121no—
358C3×Dic3—241no—
359C3×Dic3#21712yes—
360C3×Dic3C3×C22⋊C412yes—
361C22×Q8—31no—
362C22×C8—91no—
363C2×C4⋊C4—91no—
364#103—31no—
365#103—91no—
366#103—91no—
367#103—91no—
368C33C2×#10311yescharacteristic, complemented, Sylow
369C23×C3—31no—
370C23×C3—31no—
371C23×C3—61no—
372C22×D3C3×#6711yescharacteristic
373C3×Q8—22no—
374C3×Q8—21no—
375C3×Q8—21no—
376C3×Q8—21no—
377C3×Q8—22no—
378C3×Q8—22no—
379C3×Q8—22no—
380C3×Q8—32no—
381C3×Q8—32no—
382C3×Q8—41no—
383C3×Q8—41no—
384C3×Q8—42no—
385C3×Q8—42no—
386C3×Q8—62no—
387C3×Q8—64no—
388C3×Q8—64no—
389C3×Q8—68no—
390C3×Q8—62no—
391C3×Q8—61no—
392C3×Q8—61no—
393C3×Q8D3×Dic312yescomplemented
394C3×Q8C3×C4×D312yescomplemented
395C3×Q8C2×C3×Dic312yescomplemented
396C2×C3×C4—22no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—21no—
400C2×C3×C4—21no—
401C2×C3×C4—21no—
402C2×C3×C4—21no—
403C2×C3×C4—31no—
404C2×C3×C4—31no—
405C2×C3×C4—32no—
406C2×C3×C4—32no—
407C2×C3×C4—32no—
408C2×C3×C4—32no—
409C2×C3×C4—41no—
410C2×C3×C4—41no—
411C2×C3×C4—42no—
412C2×C3×C4—41no—
413C2×C3×C4—62no—
414C2×C3×C4—62no—
415C2×C3×C4—61no—
416C2×C3×C4—64no—
417C2×C3×C4—64no—
418C2×C3×C4—68no—
419C2×C3×C4—62no—
420C2×C3×C4—61no—
421C2×C3×C4—61no—
422C2×C3×C4—61no—
423C2×C3×C4—61no—
424C2×C3×C4—121no—
425C2×C3×C4—181no—
426C2×C3×C4—362no—
427C2×C3×C4C2×D3211yescharacteristic
428C2×C3×C4C22×C3×D311yescharacteristic
429C2×C3×C4C22×C3×D311yescharacteristic
430C2×Dic3—21no—
431C2×Dic3—21no—
432C2×Dic3—61no—
433C2×Dic3—61no—
434C2×Dic3—121no—
435C2×Dic3—122no—
436C2×Dic3C3×#6711yescharacteristic
437C4×D3—24no—
438C4×D3—122no—
439C4×D3C2×C3×Dic312yes—
440C4×D3C3×#6712yes—
441Dic6—21no—
442Dic6—24no—
443Dic6C2×C3×Dic312yescomplemented
444C3×C8—61no—
445C3×C8—61no—
446C3×C8—121no—
447C3×C8—181no—
448C3⋊C8—21no—
449C3⋊C8—61no—
450C3⋊C8—61no—
451C3⋊C8—121no—
452C2×C32—21no—
453C2×C32—21no—
454C2×C32—21no—
455C2×C32—21no—
456C2×C32—21no—
457C2×C32—21no—
458C2×C32—21no—
459C2×C32—21no—
460C2×C32—21no—
461C2×C32—34no—
462C2×C32—41no—
463C2×C32—41no—
464C2×C32—41no—
465C2×C32D3×C22⋊C411yescharacteristic
466C2×C32D3×SD1611yescharacteristic
467C2×C32D3×Q1611yescharacteristic
468C2×C32C2×#21511yescharacteristic
469C2×C32C2×#21611yescharacteristic
470C2×C32C2×#21711yescharacteristic
471C2×C32C2×C3×C22⋊C411yescharacteristic
472C2×C32C2×C3×SD1611yescharacteristic
473C2×C32C2×C3×Q1611yescharacteristic
474C3×D3—24no—
475C3×D3#83514yesdirect product factor
476C3×D3C3×#10314yescomplemented
477C2×Q8—34no—
478C2×Q8—31no—
479C2×Q8—61no—
480C2×Q8—62no—
481C2×Q8C3×D3211yescharacteristic
482C22×C4—31no—
483C22×C4—61no—
484C22×C4—181no—
485C2×C8—31no—
486C2×C8—91no—
487C2×C8—182no—
488C4⋊C4—31no—
489C4⋊C4—91no—
490C4⋊C4—181no—
491C22×C3—21no—
492C22×C3—21no—
493C22×C3—21no—
494C22×C3—32no—
495C22×C3—32no—
496C22×C3—32no—
497C22×C3—32no—
498C22×C3—32no—
499C22×C3—32no—
500C22×C3—41no—
501C22×C3—62no—
502C22×C3—62no—
503C22×C3—62no—
504C22×C3D3×#6711yescharacteristic
505C22×C3C3×D3×D411yescharacteristic
506C22×C3C2×C3×#6711yescharacteristic
507C2×D3C3×#21512yes—
508C2×D3C3×#21612yes—
509C2×D3C3×#21712yes—
510C3×C4—24no—
511C3×C4—22no—
512C3×C4—22no—
513C3×C4—22no—
514C3×C4—21no—
515C3×C4—21no—
516C3×C4—21no—
517C3×C4—21no—
518C3×C4—21no—
519C3×C4—21no—
520C3×C4—32no—
521C3×C4—32no—
522C3×C4—42no—
523C3×C4—42no—
524C3×C4—44no—
525C3×C4—41no—
526C3×C4—41no—
527C3×C4—62no—
528C3×C4—64no—
529C3×C4—62no—
530C3×C4—62no—
531C3×C4—121no—
532C3×C4—121no—
533C3×C4—241no—
534C3×C4—361no—
535C3×C4C2×D3×Dic311yescharacteristic
536C3×C4D3×#6711yescharacteristic
537C3×C4C2×C3×C4×D311yescharacteristic
538C3×C4C3×D3×D411yescharacteristic
539C3×C4C22×C3×Dic311yescharacteristic
540C3×C4C2×C3×#6711yescharacteristic
541Dic3—22no—
542Dic3—41no—
543Dic3—121no—
544Dic3—121no—
545Dic3—241no—
546Dic3C3×#21712yes—
547C32—21no—
548C32—21no—
549C32—21no—
550C32—41no—
551C32D3×#10311yescharacteristic, complemented
552C32C2×#83511yescharacteristic, complemented
553C32C2×C3×#10311yescharacteristic, complemented
554C23—31no—
555Q8—21no—
556Q8—32no—
557Q8—64no—
558Q8—61no—
559Q8C3×D3×Dic312yescomplemented
560C2×C4—21no—
561C2×C4—31no—
562C2×C4—32no—
563C2×C4—32no—
564C2×C4—64no—
565C2×C4—61no—
566C2×C4—61no—
567C2×C4—181no—
568C2×C4—362no—
569C2×C4C2×C3×D3211yescharacteristic
570C8—61no—
571C8—181no—
572C2×C3—21no—
573C2×C3—21no—
574C2×C3—21no—
575C2×C3—21no—
576C2×C3—21no—
577C2×C3—21no—
578C2×C3—21no—
579C2×C3—21no—
580C2×C3—21no—
581C2×C3—34no—
582C2×C3—34no—
583C2×C3—41no—
584C2×C3—41no—
585C2×C3—41no—
586C2×C3—64no—
587C2×C3D3×#21511yescharacteristic
588C2×C3D3×#21611yescharacteristic
589C2×C3D3×#21711yescharacteristic
590C2×C3C3×D3×C22⋊C411yescharacteristic
591C2×C3C3×D3×SD1611yescharacteristic
592C2×C3C3×D3×Q1611yescharacteristic
593C2×C3C2×C3×#21511yescharacteristic
594C2×C3C2×C3×#21611yescharacteristic
595C2×C3C2×C3×#21711yescharacteristic
596D3C3×#83514yesdirect product factor
597C22—32no—
598C22—32no—
599C22—32no—
600C22C3×D3×#6711yescharacteristic
601C4—22no—
602C4—32no—
603C4—62no—
604C4—121no—
605C4—361no—
606C4C2×C3×D3×Dic311yescharacteristic
607C4C3×D3×#6711yescharacteristic
608C3—21no—
609C3—21no—
610C3—21no—
611C3—41no—
612C3D3×#83511yescharacteristic, direct product factor
613C3C3×D3×#10311yescharacteristic, complemented
614C3C2×C3×#83511yescharacteristic, complemented
615C2—34no—
616C2C3×D3×#21511yescharacteristic
617C2C3×D3×#21611yescharacteristic
618C2C3×D3×#21711yescharacteristic
subgroupG/H
centerC22×C3D3×#67
commutatorC32×C4C22×C3×C4
FrattiniC2×C4C2×C3×D32
FittingC2×C33×Q8C22
socleC22×C33C2×D4
prime radicalC22×C32×D3D4
cosocleC2×C32×C4C23×C3
hypercenterC2×C3×Q8D32
hypocenterC32C2×C3×#103
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×C4 ◁ C2×C3×Q8

Complements

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

NH ≅ G/Ntype
4. C3×#63662C2semidirect
5. C32×#835C2semidirect
6. C3×#63566C2semidirect
7. C3×#63565C2semidirect
10. D3×#835C3direct (N × H)
13. C32×D3×Q8C4semidirect
36. #63662C2×C3semidirect
43. C3×#835D3direct (N × H)
44. C3×#835C2×C3semidirect
47. #63566C2×C3semidirect
48. #63565C2×C3semidirect
51. C33×Q8C2×C4semidirect
63. C32×Dic6C2×C4semidirect
88. C3×D3×Q8Dic3semidirect
89. C3×D3×Q8C3×C4semidirect
158. #835C3×D3direct (N × H)
179. C32×Q8C4×D3semidirect
180. C32×Q8C2×Dic3semidirect
181. C32×Q8C2×C3×C4semidirect
233. C3×Dic6C2×Dic3semidirect
234. C3×Dic6C2×C3×C4semidirect
248. C32×D3#103semidirect
277. D3×Q8C3×Dic3semidirect
368. C33C2×#103semidirect
393. C3×Q8D3×Dic3semidirect
394. C3×Q8C3×C4×D3semidirect
395. C3×Q8C2×C3×Dic3semidirect
443. Dic6C2×C3×Dic3semidirect
475. C3×D3#835direct (N × H)
476. C3×D3C3×#103semidirect
551. C32D3×#103semidirect
552. C32C2×#835semidirect
553. C32C2×C3×#103semidirect
559. Q8C3×D3×Dic3semidirect
596. D3C3×#835direct (N × H)
612. C3D3×#835direct (N × H)
613. C3C3×D3×#103semidirect
614. C3C2×C3×#835semidirect

Maximal subgroups

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

subgroupindex
C2×C32×D3×Q82
C3×D3×C4⋊Dic32
C2×C3×D3×C3⋊C82
C3×#636622
C32×#8352
C3×#635662
C3×#635652
C2×C3×#8353
C3×D3×#1033
D3×#8353