Finite Group Databasebeta

← C3×C4×#909 #11860380

Subgroups — C3×C4×#909 #11860380

Order 1152.

1039 conjugacy classes of subgroups.

The subgroup lattice has 622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#909C211yesmaximal, characteristic
2C3×C4×#235C211yesmaximal, characteristic
3C2×C3×C4×Dic6C211yesmaximal, characteristic, complemented
4C32×C4×M16C211yesmaximal, characteristic, complemented
5C3×#5133C211yesmaximal, characteristic
6C3×#5121C211yesmaximal, characteristic, complemented
7C3×#5120C211yesmaximal, characteristic, complemented
8C3×#4716C212yesmaximal, complemented
9C3×#4710C212yesmaximal, complemented
10C3×C4×Dic12C212yesmaximal, complemented
11C3×C4×#204C212yesmaximal, complemented
12C3×C4×#137—31nomaximal
13C4×#909C311yesmaximal, characteristic, direct product factor
14C2×C3×#235C2211yescharacteristic
15C22×C3×Dic6C2211yescharacteristic
16C2×C32×M16C2211yescharacteristic
17C2×C32×M16C2211yescharacteristic
18C2×C32×C42C2211yescharacteristic
19C3×C4×#67—21no—
20C3×C4×#67—21no—
21C3×#926C2211yescharacteristic
22C2×C3×C4⋊Dic3C2211yescharacteristic
23C2×C3×Dic3⋊C4—21no—
24C2×C3×C4×Dic3—21no—
25C3×#909C418yesdirect product factor
26C2×C3×Dic12C2212yes—
27C2×C3×#204C2212yes—
28C3×C4×D12C2211yescharacteristic
29C3×C4×D12C2211yescharacteristic
30C3×#872—21no—
31C3×C42×D3—21no—
32C3×C4×Dic6—21no—
33C3×C4×Dic6—21no—
34C3×C4×Dic6C2212yes—
35C3×C4×Dic6C2211yescharacteristic
36C3×C4×Dic6C2212yes—
37C3×C4×Dic6C2211yescharacteristic
38C32×#97C2212yes—
39C32×C4×C8C2212yes—
40C3×#821C2212yes—
41C3×#818C2212yes—
42C3×#817C2212yes—
43C3×#816C2212yes—
44C3×#816C2212yes—
45C3×#816C2212yes—
46C2×C3×#137—31no—
47C3×C4×#41—31no—
48C2×C3×C4×Q8—31no—
49C2×#909C2×C311yescharacteristic
50C4×#235C2×C311yescharacteristic
51C2×C4×Dic6C2×C311yescharacteristic, complemented
52C3×#441—32no—
53C3×#440—32no—
54C3×C4×Q16—32no—
55C3×C4×SD16—32no—
56C3×#428—31no—
57C3×#419—31no—
58C3×#417—31no—
59C3×C4×M16—21no—
60C3×C4×M16D311yescharacteristic, complemented
61C3×C4×M16C2×C311yescharacteristic, complemented
62#5133C2×C311yescharacteristic
63#5121C2×C311yescharacteristic, complemented
64#5120C2×C311yescharacteristic, complemented
65#4716C2×C312yescomplemented
66#4710C2×C312yescomplemented
67C4×Dic12C2×C312yescomplemented
68C4×#204C2×C312yescomplemented
69C22×C32×C4D411yescharacteristic
70C22×C32×C4D411yescharacteristic
71C22×C32×C4C2311yescharacteristic
72C2×C3×#67—21no—
73C22×C3×Dic3—21no—
74C22×C3×Dic3—21no—
75C3×#235—22no—
76C3×#235C2×C414yes—
77C2×C3×D12C2311yescharacteristic
78C2×C3×C4×D3—21no—
79C2×C3×C4×D3—21no—
80C2×C3×C4×D3—21no—
81C2×C3×Dic6—21no—
82C2×C3×Dic6—22no—
83C2×C3×Dic6C2×C414yescomplemented
84C2×C3×Dic6C2312yes—
85C2×C3×Dic6C2311yescharacteristic
86C32×M16—22no—
87C32×M16C2×C414yescomplemented
88C2×C32×C8C2312yes—
89C2×C32×C8C2312yes—
90C32×C42D411yescharacteristic
91C32×C42D411yescharacteristic
92C32×C42C2311yescharacteristic
93C32×C42C2311yescharacteristic
94C3×#217—21no—
95C3×(C2×D3)⋊C4—21no—
96C3×(C2×D3)⋊C4—21no—
97C3×C4⋊Dic3—21no—
98C3×C4⋊Dic3C2312yes—
99C3×C4⋊Dic3C2311yescharacteristic
100C3×C4⋊Dic3C2311yescharacteristic
101C3×Dic3⋊C4—22no—
102C3×Dic3⋊C4—22no—
103C3×Dic3⋊C4—21no—
104C3×Dic3⋊C4—21no—
105C3×C4×Dic3—22no—
106C3×C4×Dic3—22no—
107C3×C4×Dic3—21no—
108C3×C4×Dic3—21no—
109C3×C4×Dic3—21no—
110C3×Dic12C2×C418yescomplemented
111C3×#204C2×C418yescomplemented
112C4×#137—31noSylow
113C2×C3×#41—31no—
114C22×C3×Q8—31no—
115C2×#235C22×C311yescharacteristic
116C22×Dic6C22×C311yescharacteristic
117C3×#137—38no—
118C2×C3×Q16—32no—
119C2×C3×SD16—32no—
120C2×C3×M16—21no—
121C2×C3×M16—21no—
122C2×C3×M16C2×D311yescharacteristic
123C2×C3×M16C2×D311yescharacteristic
124C2×C3×M16C22×C311yescharacteristic
125C2×C3×M16C22×C311yescharacteristic
126C3×C4×Q8—32no—
127C3×C4×Q8—31no—
128C3×C4×Q8—32no—
129C3×C4×Q8—31no—
130C3×C4×Q8—61no—
131C3×C4×Q8—61no—
132C3×C4×D4—31no—
133C3×C4×D4—31no—
134C3×C4×D4—61no—
135C3×C4×D4—61no—
136C3×#117—31no—
137C3×#117—61no—
138C2×C3×C4⋊C4—31no—
139C2×C3×C4⋊C4—61no—
140C2×C3×C42—21no—
141C2×C3×C42—61no—
142C2×C3×C42—61no—
143C2×C3×C42C2×D311yescharacteristic
144C2×C3×C42C22×C311yescharacteristic
145C4×#67—21no—
146C4×#67—21no—
147#926C22×C311yescharacteristic
148C2×C4⋊Dic3C22×C311yescharacteristic
149C2×Dic3⋊C4—21no—
150C2×C4×Dic3—21no—
151#909C3×C418yesdirect product factor
152C2×Dic12C22×C312yes—
153C2×#204C22×C312yes—
154C4×D12C22×C311yescharacteristic
155C4×D12C22×C311yescharacteristic
156#872—21no—
157C42×D3—21no—
158C4×Dic6—21no—
159C4×Dic6—21no—
160C4×Dic6C22×C312yes—
161C4×Dic6C22×C311yescharacteristic
162C4×Dic6C22×C312yes—
163C4×Dic6C22×C311yescharacteristic
164C3×#107—32no—
165C3×#106—32no—
166C3×#103—32no—
167C3×#103—32no—
168C3×#103—32no—
169C3×#102—32no—
170C3×#97—22no—
171C3×#97C2×D312yes—
172C3×#97C22×C312yes—
173C3×C4×C8—22no—
174C3×C4×C8C2×D312yes—
175C3×C4×C8C22×C312yes—
176#821C22×C312yes—
177#818C22×C312yes—
178#817C22×C312yes—
179#816C22×C312yes—
180#816C22×C312yes—
181#816C22×C312yes—
182C23×C32C2×D411yescharacteristic
183C22×C3×D3—21no—
184C2×C32×C4—22no—
185C2×C32×C4—41no—
186C2×C32×C4C22×C412yes—
187C2×C32×C4C2×D411yescharacteristic
188C2×C32×C4C2×D411yescharacteristic
189C2×C32×C4C2×D411yescharacteristic
190C2×C32×C4C2×D411yescharacteristic
191C2×C32×C4C2×D411yescharacteristic
192C2×C32×C4#4112yes—
193C2×C32×C4C2411yescharacteristic
194C3×#67—24no—
195C2×C3×Dic3—24no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—21no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—21no—
200C2×C3×Dic3—21no—
201C2×C3×Dic3—42no—
202C3×D12—21no—
203C3×D12C22×C412yes—
204C3×C4×D3—24no—
205C3×C4×D3—42no—
206C3×C4×D3—42no—
207C3×Dic6—24no—
208C3×Dic6—22no—
209C3×Dic6—21no—
210C3×Dic6C22×C414yes—
211C3×Dic6C22×C412yes—
212C32×C8—22no—
213C32×C8C22×C414yes—
214C2×#137—31no—
215C4×#41—31no—
216C2×C4×Q8—31no—
217#441—32no—
218#440—32no—
219C4×Q16—32no—
220C4×SD16—32no—
221#428—31no—
222#419—31no—
223#417—31no—
224C4×M16C3×D311yescharacteristic, complemented
225C3×#41—34no—
226C3×#41—62no—
227C2×C3×Q8—34no—
228C2×C3×Q8—32no—
229C2×C3×Q8—31no—
230C2×C3×Q8—61no—
231C2×C3×Q8—62no—
232C2×C3×D4—31no—
233C2×C3×D4—61no—
234C22×C3×C4—21no—
235C22×C3×C4—21no—
236C22×C3×C4—21no—
237C22×C3×C4—61no—
238C22×C3×C4—61no—
239C22×C3×C4—61no—
240C22×C3×C4—61no—
241C22×C3×C4—61no—
242C22×C3×C4D1211yescharacteristic
243C22×C3×C4D1211yescharacteristic
244C22×C3×C4C3×D411yescharacteristic
245C22×C3×C4C3×D411yescharacteristic
246C22×C3×C4C22×D311yescharacteristic
247C22×C3×C4C23×C311yescharacteristic
248C2×#67—21no—
249C22×Dic3—21no—
250C22×Dic3—21no—
251#235—22no—
252#235C2×C3×C414yes—
253C2×D12C23×C311yescharacteristic
254C2×C4×D3—21no—
255C2×C4×D3—21no—
256C2×C4×D3—21no—
257C2×Dic6—21no—
258C2×Dic6—22no—
259C2×Dic6C2×C3×C414yescomplemented
260C2×Dic6C23×C312yes—
261C2×Dic6C23×C311yescharacteristic
262C3×Q16—38no—
263C3×SD16—38no—
264C3×M16—24no—
265C3×M16—22no—
266C3×M16—22no—
267C3×M16—24no—
268C3×M16C4×D314yescomplemented
269C3×M16C2×C3×C414yescomplemented
270C2×C3×C8—22no—
271C2×C3×C8—22no—
272C2×C3×C8C22×D312yes—
273C2×C3×C8C22×D312yes—
274C2×C3×C8C23×C312yes—
275C2×C3×C8C23×C312yes—
276C3×C4⋊C4—32no—
277C3×C4⋊C4—31no—
278C3×C4⋊C4—31no—
279C3×C4⋊C4—62no—
280C3×C4⋊C4—62no—
281C3×C4⋊C4—61no—
282C3×C4⋊C4—61no—
283C3×C4⋊C4—61no—
284C3×C22⋊C4—61no—
285C3×C22⋊C4—61no—
286C3×C22⋊C4—61no—
287C3×C42—21no—
288C3×C42—21no—
289C3×C42—21no—
290C3×C42—21no—
291C3×C42—61no—
292C3×C42—61no—
293C3×C42—62no—
294C3×C42—61no—
295C3×C42—62no—
296C3×C42D1211yescharacteristic
297C3×C42D1211yescharacteristic
298C3×C42C3×D411yescharacteristic
299C3×C42C3×D411yescharacteristic
300C3×C42C22×D311yescharacteristic
301C3×C42C22×D311yescharacteristic
302C3×C42C23×C311yescharacteristic
303C3×C42C23×C311yescharacteristic
304#217—21no—
305(C2×D3)⋊C4—21no—
306(C2×D3)⋊C4—21no—
307C4⋊Dic3—21no—
308C4⋊Dic3C23×C311yescharacteristic
309C4⋊Dic3C23×C311yescharacteristic
310C4⋊Dic3C23×C312yes—
311Dic3⋊C4—22no—
312Dic3⋊C4—22no—
313Dic3⋊C4—21no—
314Dic3⋊C4—21no—
315C4×Dic3—22no—
316C4×Dic3—22no—
317C4×Dic3—21no—
318C4×Dic3—21no—
319C4×Dic3—21no—
320Dic12C2×C3×C418yescomplemented
321#204C2×C3×C418yescomplemented
322C22×C32—21no—
323C22×C32—21no—
324C22×C32C4×D412yes—
325C22×C32C22×D411yescharacteristic
326C2×C3×D3—22no—
327C2×C3×D3—41no—
328C2×C3×D3—41no—
329C32×C4—21no—
330C32×C4—21no—
331C32×C4—21no—
332C32×C4C4×D412yes—
333C32×C4#13712yescomplemented
334C32×C4C23×C411yescharacteristic
335C32×C4C2×#4111yescharacteristic
336C3×Dic3—24no—
337C3×Dic3—22no—
338C3×Dic3—41no—
339C3×Dic3—41no—
340C3×Dic3—42no—
341C2×#41—31no—
342C22×Q8—31no—
343#137—38no—
344C2×Q16—32no—
345C2×SD16—32no—
346C2×M16C2×C3×D311yescharacteristic
347C2×M16C2×C3×D311yescharacteristic
348C4×Q8—32no—
349C4×Q8—32no—
350C4×Q8—31no—
351C4×Q8—31no—
352C4×Q8—61no—
353C4×Q8—61no—
354C4×D4—31no—
355C4×D4—31no—
356C4×D4—61no—
357C4×D4—61no—
358#117—31no—
359#117—61no—
360C2×C4⋊C4—31no—
361C2×C4⋊C4—61no—
362C2×C42—61no—
363C2×C42—61no—
364C2×C42C2×C3×D311yescharacteristic
365#107—32no—
366#106—32no—
367#103—32no—
368#103—32no—
369#103—32no—
370#102—32no—
371#97C2×C3×D312yes—
372C4×C8C2×C3×D312yes—
373C23×C3—21no—
374C23×C3—61no—
375C23×C3C2×D1211yescharacteristic
376C23×C3C2×C3×D411yescharacteristic
377C22×D3—21no—
378C3×Q8—34no—
379C3×Q8—32no—
380C3×Q8—64no—
381C3×Q8—62no—
382C3×Q8—61no—
383C3×D4—32no—
384C3×D4—64no—
385C3×D4—61no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—21no—
389C2×C3×C4—22no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—21no—
393C2×C3×C4—21no—
394C2×C3×C4—21no—
395C2×C3×C4—22no—
396C2×C3×C4—42no—
397C2×C3×C4—41no—
398C2×C3×C4—41no—
399C2×C3×C4—42no—
400C2×C3×C4—64no—
401C2×C3×C4—61no—
402C2×C3×C4—62no—
403C2×C3×C4—64no—
404C2×C3×C4—61no—
405C2×C3×C4—61no—
406C2×C3×C4—62no—
407C2×C3×C4—122no—
408C2×C3×C4—122no—
409C2×C3×C4—122no—
410C2×C3×C4C2×C4×D312yes—
411C2×C3×C4C2×D1211yescharacteristic
412C2×C3×C4C2×D1211yescharacteristic
413C2×C3×C4C2×D1211yescharacteristic
414C2×C3×C4C2×D1211yescharacteristic
415C2×C3×C4C2×D1211yescharacteristic
416C2×C3×C4#23512yes—
417C2×C3×C4C22×C3×C412yes—
418C2×C3×C4C2×C3×D411yescharacteristic
419C2×C3×C4C2×C3×D411yescharacteristic
420C2×C3×C4C2×C3×D411yescharacteristic
421C2×C3×C4C2×C3×D411yescharacteristic
422C2×C3×C4C2×C3×D411yescharacteristic
423C2×C3×C4C3×#4112yes—
424C2×C3×C4C23×D311yescharacteristic
425C2×C3×C4C24×C311yescharacteristic
426#67—24no—
427C2×Dic3—24no—
428C2×Dic3—22no—
429C2×Dic3—21no—
430C2×Dic3—22no—
431C2×Dic3—21no—
432C2×Dic3—21no—
433C2×Dic3—42no—
434D12—21no—
435D12C22×C3×C412yes—
436C4×D3—24no—
437C4×D3—42no—
438C4×D3—42no—
439Dic6—24no—
440Dic6—22no—
441Dic6—21no—
442Dic6C22×C3×C414yes—
443Dic6C22×C3×C412yes—
444C3×C8—24no—
445C3×C8—22no—
446C3×C8—22no—
447C3×C8—24no—
448C3×C8C2×C4×D314yes—
449C3×C8C22×C3×C414yes—
450C2×C32—22no—
451C2×C32C2×C4×D411yescharacteristic
452C2×C32C2×#13711yescharacteristic
453C2×C32#57511yescharacteristic
454C3×D3—42no—
455#41—34no—
456#41—62no—
457C2×Q8—32no—
458C2×Q8—31no—
459C2×Q8—34no—
460C2×Q8—61no—
461C2×Q8—62no—
462C2×D4—31no—
463C2×D4—61no—
464C22×C4—61no—
465C22×C4—61no—
466C22×C4—61no—
467C22×C4—61no—
468C22×C4—61no—
469C22×C4C3×D1211yescharacteristic
470C22×C4C3×D1211yescharacteristic
471C22×C4C22×C3×D311yescharacteristic
472Q16—38no—
473SD16—38no—
474M16—22no—
475M16C3×C4×D314yescomplemented
476C2×C8C22×C3×D312yes—
477C2×C8C22×C3×D312yes—
478C4⋊C4—32no—
479C4⋊C4—31no—
480C4⋊C4—31no—
481C4⋊C4—61no—
482C4⋊C4—62no—
483C4⋊C4—62no—
484C4⋊C4—61no—
485C4⋊C4—61no—
486C22⋊C4—61no—
487C22⋊C4—61no—
488C22⋊C4—61no—
489C42—61no—
490C42—61no—
491C42—61no—
492C42—62no—
493C42—62no—
494C42C3×D1211yescharacteristic
495C42C3×D1211yescharacteristic
496C42C22×C3×D311yescharacteristic
497C42C22×C3×D311yescharacteristic
498C22×C3—21no—
499C22×C3—21no—
500C22×C3—21no—
501C22×C3—21no—
502C22×C3—21no—
503C22×C3—22no—
504C22×C3—41no—
505C22×C3—41no—
506C22×C3—62no—
507C22×C3—121no—
508C22×C3—121no—
509C22×C3C4×D1212yes—
510C22×C3C3×C4×D412yes—
511C22×C3C22×D1211yescharacteristic
512C22×C3C22×C3×D411yescharacteristic
513C2×D3—22no—
514C2×D3—41no—
515C2×D3—41no—
516C3×C4—22no—
517C3×C4—21no—
518C3×C4—21no—
519C3×C4—21no—
520C3×C4—21no—
521C3×C4—21no—
522C3×C4—21no—
523C3×C4—22no—
524C3×C4—21no—
525C3×C4—21no—
526C3×C4—22no—
527C3×C4—41no—
528C3×C4—41no—
529C3×C4—62no—
530C3×C4—64no—
531C3×C4—121no—
532C3×C4—121no—
533C3×C4—122no—
534C3×C4C4×D1212yes—
535C3×C4#90912yesdirect product factor
536C3×C4C3×C4×D412yes—
537C3×C4C3×#13712yescomplemented
538C3×C4C22×C4×D311yescharacteristic
539C3×C4C2×#23511yescharacteristic
540C3×C4C23×C3×C411yescharacteristic
541C3×C4C2×C3×#4111yescharacteristic
542Dic3—24no—
543Dic3—22no—
544Dic3—41no—
545Dic3—41no—
546Dic3—42no—
547C32C4×#13711yescharacteristic, complemented, Sylow
548C23—61no—
549C23C2×C3×D1211yescharacteristic
550Q8—34no—
551Q8—32no—
552Q8—62no—
553Q8—61no—
554Q8—64no—
555D4—32no—
556D4—64no—
557D4—61no—
558C2×C4—22no—
559C2×C4—41no—
560C2×C4—61no—
561C2×C4—62no—
562C2×C4—64no—
563C2×C4—64no—
564C2×C4—61no—
565C2×C4—61no—
566C2×C4—62no—
567C2×C4—122no—
568C2×C4—122no—
569C2×C4—122no—
570C2×C4C2×C3×C4×D312yes—
571C2×C4C2×C3×D1211yescharacteristic
572C2×C4C2×C3×D1211yescharacteristic
573C2×C4C2×C3×D1211yescharacteristic
574C2×C4C2×C3×D1211yescharacteristic
575C2×C4C2×C3×D1211yescharacteristic
576C2×C4C3×#23512yes—
577C2×C4C23×C3×D311yescharacteristic
578C8—22no—
579C8C2×C3×C4×D314yes—
580C2×C3—22no—
581C2×C3—22no—
582C2×C3—21no—
583C2×C3—21no—
584C2×C3—21no—
585C2×C3—42no—
586C2×C3—122no—
587C2×C3C2×C4×D1211yescharacteristic
588C2×C3C2×#90911yescharacteristic
589C2×C3#574811yescharacteristic
590C2×C3C2×C3×C4×D411yescharacteristic
591C2×C3C2×C3×#13711yescharacteristic
592C2×C3C3×#57511yescharacteristic
593D3—42no—
594C22—21no—
595C22—21no—
596C22—62no—
597C22—121no—
598C22—121no—
599C22C3×C4×D1212yes—
600C22C22×C3×D1211yescharacteristic
601C4—21no—
602C4—21no—
603C4—21no—
604C4—62no—
605C4—64no—
606C4—121no—
607C4—121no—
608C4—122no—
609C4C3×C4×D1212yes—
610C4C3×#90912yesdirect product factor
611C4C22×C3×C4×D311yescharacteristic
612C4C2×C3×#23511yescharacteristic
613C3—21no—
614C3C4×#90911yescharacteristic, direct product factor
615C3C3×C4×#13711yescharacteristic, complemented
616C2—22no—
617C2—122no—
618C2C2×C3×C4×D1211yescharacteristic
619C2C2×C3×#90911yescharacteristic
620C2C3×#574811yescharacteristic
subgroupG/H
centerC2×C3×C4C2×D12
commutatorC3×C4C23×C3×C4
FrattiniC2×C4C23×C3×D3
FittingC32×C4×M16C2
socleC22×C32C22×D4
prime radicalC2×C3×#235C22
cosocleC2×C3×C4C24×C3
hypercenterC3×C4×M16D3
hypocenterC3C3×C4×#137
LCSG ▷ C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C3×C4 ◁ C2×C3×C42 ◁ C3×C4×M16

Complements

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

NH ≅ G/Ntype
3. C2×C3×C4×Dic6C2semidirect
4. C32×C4×M16C2semidirect
6. C3×#5121C2semidirect
7. C3×#5120C2semidirect
8. C3×#4716C2semidirect
9. C3×#4710C2semidirect
10. C3×C4×Dic12C2semidirect
11. C3×C4×#204C2semidirect
13. C4×#909C3direct (N × H)
25. C3×#909C4direct (N × H)
51. C2×C4×Dic6C2×C3semidirect
60. C3×C4×M16D3semidirect
61. C3×C4×M16C2×C3semidirect
63. #5121C2×C3semidirect
64. #5120C2×C3semidirect
65. #4716C2×C3semidirect
66. #4710C2×C3semidirect
67. C4×Dic12C2×C3semidirect
68. C4×#204C2×C3semidirect
83. C2×C3×Dic6C2×C4semidirect
87. C32×M16C2×C4semidirect
110. C3×Dic12C2×C4semidirect
111. C3×#204C2×C4semidirect
151. #909C3×C4direct (N × H)
224. C4×M16C3×D3semidirect
259. C2×Dic6C2×C3×C4semidirect
268. C3×M16C4×D3semidirect
269. C3×M16C2×C3×C4semidirect
320. Dic12C2×C3×C4semidirect
321. #204C2×C3×C4semidirect
333. C32×C4#137semidirect
475. M16C3×C4×D3semidirect
535. C3×C4#909direct (N × H)
537. C3×C4C3×#137semidirect
547. C32C4×#137semidirect
610. C4C3×#909direct (N × H)
614. C3C4×#909direct (N × H)
615. C3C3×C4×#137semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#9092
C3×C4×#2352
C2×C3×C4×Dic62
C32×C4×M162
C3×#51332
C3×#51212
C3×#51202
C3×#47162
C3×#47102
C3×C4×Dic122
C3×C4×#2042
C3×C4×#1373
C4×#9093