Finite Group Databasebeta

← C3×D3×#419 #11857851

Subgroups — C3×D3×#419 #11857851

Order 1152.

1579 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
1C22×C3×D3×Q8C211yesmaximal, characteristic
2C2×C3×D3×M16C211yesmaximal, characteristic
3C3×D3×#117C211yesmaximal, characteristic
4C32×#419C211yesmaximal, characteristic, complemented
5C3×#5225C211yesmaximal, characteristic, complemented
6C3×#5120C211yesmaximal, characteristic, complemented
7C3×#5004C211yesmaximal, characteristic, complemented
8C3×#4802C214yesmaximal, complemented
9C3×D3×#103C214yesmaximal, complemented
10C2×C3×#419—31nomaximal
11D3×#419C311yesmaximal, characteristic, direct product factor
12C22×C32×Q8C2211yescharacteristic
13C2×C3×D3×Q8—24no—
14C2×C3×D3×Q8—21no—
15C2×C3×D3×Q8—21no—
16C2×C3×D3×Q8C418yescomplemented
17C2×C3×D3×Q8C2212yes—
18C2×C3×D3×Q8C2212yes—
19C22×C3×C4×D3—21no—
20C22×C3×C4×D3C2211yescharacteristic
21C22×C3×Dic6—21no—
22C22×C3×Dic6C2211yescharacteristic
23C2×C32×M16C2211yescharacteristic
24C32×#117C2211yescharacteristic
25C3×#926C2211yescharacteristic
26C2×C3×#208C2211yescharacteristic
27C3×D3×M16—24no—
28C2×C3×ΓL(1,𝔽25)C2212yes—
29C2×C3×D3×C8C2212yes—
30C3×#892C2212yes—
31C3×D3×C4⋊C4C2212yes—
32C3×D3×C22⋊C4—21no—
33C3×#877—21no—
34C3×#872—21no—
35C3×C42×D3—21no—
36C32×#103C2214yescomplemented
37C3×#835C2214yescomplemented
38C3×#816C2214yescomplemented
39C3×#810C2214yescomplemented
40C23×C3×Q8—31no—
41C22×D3×Q8C2×C311yescharacteristic
42C22×C3×M16—31no—
43C2×C3×#117—31no—
44C2×D3×M16C2×C311yescharacteristic
45D3×#117C2×C311yescharacteristic
46C3×#419—21no—
47C3×#419—31no—
48C3×#419—31no—
49C3×#419—31no—
50C3×#419—34no—
51C3×#419D311yescharacteristic, direct product factor
52C3×#419C2×C311yescharacteristic, complemented
53C2×C3×#103—34no—
54#5225C2×C311yescharacteristic, complemented
55#5120C2×C311yescharacteristic, complemented
56#5004C2×C311yescharacteristic, complemented
57#4802C2×C314yescomplemented
58D3×#103C2×C314yescomplemented
59C23×C3×D3D411yescharacteristic
60C2×C32×Q8—22no—
61C2×C32×Q8—21no—
62C2×C32×Q8C2×C414yescomplemented
63C2×C32×Q8C2312yes—
64C22×C32×C4—21no—
65C22×C32×C4C2311yescharacteristic
66C22×C3×Dic3—21no—
67C22×C3×Dic3D411yescharacteristic
68C3×D3×Q8—28no—
69C3×D3×Q8—28no—
70C3×D3×Q8—24no—
71C3×D3×Q8—24no—
72C3×D3×Q8C2×C418yes—
73C3×D3×Q8C2×C418yescomplemented
74C2×C3×C4×D3—28no—
75C2×C3×C4×D3—22no—
76C2×C3×C4×D3—22no—
77C2×C3×C4×D3—22no—
78C2×C3×C4×D3C2×C414yes—
79C2×C3×C4×D3D411yescharacteristic
80C2×C3×C4×D3D411yescharacteristic
81C2×C3×C4×D3D414yes—
82C2×C3×C4×D3C2311yescharacteristic
83C2×C3×C4×D3C2311yescharacteristic
84C2×C3×Dic6—21no—
85C2×C3×Dic6—22no—
86C2×C3×Dic6—28no—
87C2×C3×Dic6—22no—
88C2×C3×Dic6—22no—
89C2×C3×Dic6C2×C414yescomplemented
90C2×C3×Dic6C2312yes—
91C32×M16—22no—
92C2×C32×C8C2312yes—
93C32×C4⋊C4C2312yes—
94C32×C22⋊C4—21no—
95C32×C42—21no—
96C3×#217—21no—
97C3×(C2×D3)⋊C4—22no—
98C3×C4⋊Dic3C2312yes—
99C3×Dic3⋊C4—22no—
100C3×C4×Dic3—21no—
101C3×C4×Dic3—22no—
102C3×#208—22no—
103C2×C3×C3⋊C8C2312yes—
104C3×ΓL(1,𝔽25)—24no—
105C3×D3×C8—24no—
106C2×#419—31noSylow
107C22×C3×Q8—21no—
108C22×C3×Q8—38no—
109C22×C3×Q8—32no—
110C22×C3×Q8—32no—
111C22×C3×Q8—31no—
112C22×C3×Q8—61no—
113C22×C3×Q8—61no—
114C22×C3×Q8—61no—
115C22×C3×Q8—64no—
116C22×C3×Q8C2×D311yescharacteristic
117C22×C3×Q8C22×C311yescharacteristic
118C23×C3×C4—31no—
119C23×C3×C4—61no—
120C2×D3×Q8—24no—
121C2×D3×Q8—21no—
122C2×D3×Q8—21no—
123C2×D3×Q8C3×C418yescomplemented
124C2×D3×Q8C22×C312yes—
125C2×D3×Q8C22×C312yes—
126C22×C4×D3—21no—
127C22×C4×D3C22×C311yescharacteristic
128C22×Dic6—21no—
129C22×Dic6C22×C311yescharacteristic
130C2×C3×M16—21no—
131C2×C3×M16—31no—
132C2×C3×M16—32no—
133C2×C3×M16—64no—
134C2×C3×M16C2×D311yescharacteristic
135C2×C3×M16C22×C311yescharacteristic
136C22×C3×C8—32no—
137C3×#117—21no—
138C3×#117—31no—
139C3×#117—32no—
140C3×#117—61no—
141C3×#117—61no—
142C3×#117C2×D311yescharacteristic
143C3×#117C22×C311yescharacteristic
144C2×C3×C4⋊C4—32no—
145C2×C3×C22⋊C4—61no—
146C2×C3×C42—61no—
147#926C22×C311yescharacteristic
148C2×#208C22×C311yescharacteristic
149D3×M16—24no—
150C2×ΓL(1,𝔽25)C22×C312yes—
151C2×D3×C8C22×C312yes—
152#892C22×C312yes—
153D3×C4⋊C4C22×C312yes—
154D3×C22⋊C4—21no—
155#877—21no—
156#872—21no—
157C42×D3—21no—
158C3×#103—24no—
159C3×#103—34no—
160C3×#103—34no—
161C3×#103—34no—
162C3×#103C2×D314yescomplemented
163C3×#103C22×C314yescomplemented
164#835C22×C314yescomplemented
165#816C22×C314yescomplemented
166#810C22×C314yescomplemented
167C23×C32C2×D411yescharacteristic
168C22×C3×D3—24no—
169C22×C3×D3C22⋊C414yes—
170C22×C3×D3C2×D411yescharacteristic
171C22×C3×D3C2×D411yescharacteristic
172C32×Q8—24no—
173C32×Q8—22no—
174C32×Q8C22×C414yes—
175C2×C32×C4—24no—
176C2×C32×C4—22no—
177C2×C32×C4—22no—
178C2×C32×C4C22×C412yes—
179C2×C32×C4C2×D411yescharacteristic
180C2×C32×C4C2×D412yes—
181C2×C32×C4C2411yescharacteristic
182C2×C3×Dic3—24no—
183C2×C3×Dic3—22no—
184C2×C3×Dic3—22no—
185C2×C3×Dic3C22⋊C414yes—
186C2×C3×Dic3C2×D411yescharacteristic
187C2×C3×Dic3C2×D411yescharacteristic
188C3×C4×D3—28no—
189C3×C4×D3—28no—
190C3×C4×D3—44no—
191C3×C4×D3C22⋊C414yes—
192C3×C4×D3C22⋊C414yes—
193C3×C4×D3C22×C412yes—
194C3×C4×D3C22×C412yes—
195C3×C4×D3C2×D412yes—
196C3×C4×D3C2×D412yes—
197C3×Dic6—24no—
198C3×Dic6—22no—
199C3×Dic6—28no—
200C3×Dic6—28no—
201C3×Dic6C22×C414yes—
202C32×C8—22no—
203C3×C3⋊C8—22no—
204C23×Q8—31no—
205C22×M16—31no—
206C2×#117—31no—
207#419—31no—
208#419—31no—
209#419—31no—
210#419—34no—
211#419C3×D311yescharacteristic, direct product factor
212C2×#103—34no—
213C24×C3—31no—
214C23×D3C3×D411yescharacteristic
215C2×C3×Q8—22no—
216C2×C3×Q8—21no—
217C2×C3×Q8—22no—
218C2×C3×Q8—21no—
219C2×C3×Q8—24no—
220C2×C3×Q8—22no—
221C2×C3×Q8—38no—
222C2×C3×Q8—38no—
223C2×C3×Q8—34no—
224C2×C3×Q8—32no—
225C2×C3×Q8—41no—
226C2×C3×Q8—42no—
227C2×C3×Q8—68no—
228C2×C3×Q8—62no—
229C2×C3×Q8—62no—
230C2×C3×Q8—68no—
231C2×C3×Q8—68no—
232C2×C3×Q8—64no—
233C2×C3×Q8—64no—
234C2×C3×Q8—62no—
235C2×C3×Q8—61no—
236C2×C3×Q8C4×D314yescomplemented
237C2×C3×Q8C2×C3×C414yescomplemented
238C2×C3×Q8C22×D312yes—
239C2×C3×Q8C23×C312yes—
240C22×C3×C4—21no—
241C22×C3×C4—21no—
242C22×C3×C4—21no—
243C22×C3×C4—31no—
244C22×C3×C4—34no—
245C22×C3×C4—31no—
246C22×C3×C4—31no—
247C22×C3×C4—34no—
248C22×C3×C4—31no—
249C22×C3×C4—31no—
250C22×C3×C4—41no—
251C22×C3×C4—68no—
252C22×C3×C4—62no—
253C22×C3×C4—62no—
254C22×C3×C4—62no—
255C22×C3×C4—61no—
256C22×C3×C4C22×D311yescharacteristic
257C22×C3×C4C23×C311yescharacteristic
258C22×Dic3—21no—
259C22×Dic3C3×D411yescharacteristic
260D3×Q8—28no—
261D3×Q8—28no—
262D3×Q8—24no—
263D3×Q8—24no—
264D3×Q8C2×C3×C418yes—
265D3×Q8C2×C3×C418yescomplemented
266C2×C4×D3—28no—
267C2×C4×D3—22no—
268C2×C4×D3—22no—
269C2×C4×D3—22no—
270C2×C4×D3C2×C3×C414yes—
271C2×C4×D3C3×D411yescharacteristic
272C2×C4×D3C3×D411yescharacteristic
273C2×C4×D3C3×D414yes—
274C2×C4×D3C23×C311yescharacteristic
275C2×C4×D3C23×C311yescharacteristic
276C2×Dic6—21no—
277C2×Dic6—22no—
278C2×Dic6—28no—
279C2×Dic6—22no—
280C2×Dic6—22no—
281C2×Dic6C2×C3×C414yescomplemented
282C2×Dic6C23×C312yes—
283C3×M16—22no—
284C3×M16—22no—
285C3×M16—42no—
286C3×M16—64no—
287C3×M16—62no—
288C2×C3×C8—22no—
289C2×C3×C8—32no—
290C2×C3×C8—64no—
291C2×C3×C8C22×D312yes—
292C2×C3×C8C23×C312yes—
293C3×C4⋊C4—22no—
294C3×C4⋊C4—32no—
295C3×C4⋊C4—62no—
296C3×C4⋊C4C22×D312yes—
297C3×C4⋊C4C23×C312yes—
298C3×C22⋊C4—21no—
299C3×C22⋊C4—21no—
300C3×C22⋊C4—41no—
301C3×C22⋊C4—62no—
302C3×C22⋊C4—61no—
303C3×C42—21no—
304C3×C42—21no—
305C3×C42—41no—
306C3×C42—62no—
307C3×C42—61no—
308#217—21no—
309(C2×D3)⋊C4—22no—
310C4⋊Dic3C23×C312yes—
311Dic3⋊C4—22no—
312C4×Dic3—21no—
313C4×Dic3—22no—
314#208—22no—
315C2×C3⋊C8C23×C312yes—
316ΓL(1,𝔽25)—24no—
317D3×C8—24no—
318C22×C32—22no—
319C22×C32C2×C22⋊C412yes—
320C22×C32C22×D411yescharacteristic
321C2×C3×D3—22no—
322C2×C3×D3—28no—
323C2×C3×D3C2×C22⋊C412yes—
324C2×C3×D3C2×C22⋊C412yes—
325C2×C3×D3#13714yes—
326C32×C4—24no—
327C32×C4—42no—
328C32×C4C2×C22⋊C412yes—
329C32×C4C23×C411yescharacteristic
330C32×C4C22×D411yescharacteristic
331C3×Dic3—24no—
332C3×Dic3—42no—
333C3×Dic3C2×C22⋊C412yes—
334C3×Dic3C2×C22⋊C412yes—
335C22×Q8—38no—
336C22×Q8—32no—
337C22×Q8—32no—
338C22×Q8—31no—
339C22×Q8—61no—
340C22×Q8—61no—
341C22×Q8—61no—
342C22×Q8—64no—
343C22×Q8C2×C3×D311yescharacteristic
344C23×C4—31no—
345C23×C4—61no—
346C2×M16—31no—
347C2×M16—32no—
348C2×M16—64no—
349C2×M16C2×C3×D311yescharacteristic
350C22×C8—32no—
351#117—31no—
352#117—32no—
353#117—61no—
354#117—61no—
355#117C2×C3×D311yescharacteristic
356C2×C4⋊C4—32no—
357C2×C22⋊C4—61no—
358C2×C42—61no—
359#103—34no—
360#103—34no—
361#103—34no—
362#103C2×C3×D314yescomplemented
363C23×C3—21no—
364C23×C3—31no—
365C23×C3—34no—
366C23×C3—31no—
367C23×C3—64no—
368C23×C3D3×D411yescharacteristic
369C23×C3C2×C3×D411yescharacteristic
370C22×D3—24no—
371C22×D3C3×C22⋊C414yes—
372C22×D3C2×C3×D411yescharacteristic
373C22×D3C2×C3×D411yescharacteristic
374C3×Q8—24no—
375C3×Q8—24no—
376C3×Q8—22no—
377C3×Q8—22no—
378C3×Q8—24no—
379C3×Q8—34no—
380C3×Q8—44no—
381C3×Q8—42no—
382C3×Q8—68no—
383C3×Q8—68no—
384C3×Q8—64no—
385C3×Q8—62no—
386C3×Q8C2×C4×D314yes—
387C3×Q8C22×C3×C414yes—
388C2×C3×C4—24no—
389C2×C3×C4—24no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—21no—
395C2×C3×C4—22no—
396C2×C3×C4—21no—
397C2×C3×C4—22no—
398C2×C3×C4—34no—
399C2×C3×C4—31no—
400C2×C3×C4—31no—
401C2×C3×C4—34no—
402C2×C3×C4—34no—
403C2×C3×C4—32no—
404C2×C3×C4—32no—
405C2×C3×C4—32no—
406C2×C3×C4—32no—
407C2×C3×C4—44no—
408C2×C3×C4—42no—
409C2×C3×C4—42no—
410C2×C3×C4—68no—
411C2×C3×C4—68no—
412C2×C3×C4—64no—
413C2×C3×C4—62no—
414C2×C3×C4—62no—
415C2×C3×C4—124no—
416C2×C3×C4C2×C4×D312yes—
417C2×C3×C4D3×D411yescharacteristic
418C2×C3×C4D3×D412yes—
419C2×C3×C4C22×C3×C412yes—
420C2×C3×C4C2×C3×D411yescharacteristic
421C2×C3×C4C2×C3×D412yes—
422C2×C3×C4C23×D311yescharacteristic
423C2×C3×C4C24×C311yescharacteristic
424C2×Dic3—24no—
425C2×Dic3—22no—
426C2×Dic3—22no—
427C2×Dic3C3×C22⋊C414yes—
428C2×Dic3C2×C3×D411yescharacteristic
429C2×Dic3C2×C3×D411yescharacteristic
430C4×D3—28no—
431C4×D3—28no—
432C4×D3—44no—
433C4×D3C3×C22⋊C414yes—
434C4×D3C3×C22⋊C414yes—
435C4×D3C22×C3×C412yes—
436C4×D3C22×C3×C412yes—
437C4×D3C2×C3×D412yes—
438C4×D3C2×C3×D412yes—
439Dic6—24no—
440Dic6—22no—
441Dic6—28no—
442Dic6—28no—
443Dic6C22×C3×C414yes—
444C3×C8—22no—
445C3×C8—22no—
446C3×C8—42no—
447C3×C8—62no—
448C3⋊C8—22no—
449C2×C32—22no—
450C2×C32C22×C22⋊C411yescharacteristic
451C2×C32C2×#13712yes—
452C3×D3—22no—
453C3×D3#41914yesdirect product factor
454C24—31no—
455C2×Q8—22no—
456C2×Q8—21no—
457C2×Q8—38no—
458C2×Q8—38no—
459C2×Q8—32no—
460C2×Q8—34no—
461C2×Q8—68no—
462C2×Q8—62no—
463C2×Q8—62no—
464C2×Q8—68no—
465C2×Q8—68no—
466C2×Q8—64no—
467C2×Q8—64no—
468C2×Q8—62no—
469C2×Q8—61no—
470C2×Q8C3×C4×D314yescomplemented
471C2×Q8C22×C3×D312yes—
472C22×C4—21no—
473C22×C4—31no—
474C22×C4—31no—
475C22×C4—31no—
476C22×C4—34no—
477C22×C4—31no—
478C22×C4—31no—
479C22×C4—34no—
480C22×C4—68no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—61no—
485C22×C4C22×C3×D311yescharacteristic
486M16—22no—
487M16—64no—
488M16—62no—
489C2×C8—32no—
490C2×C8—64no—
491C2×C8C22×C3×D312yes—
492C4⋊C4—32no—
493C4⋊C4—62no—
494C4⋊C4C22×C3×D312yes—
495C22⋊C4—21no—
496C22⋊C4—62no—
497C22⋊C4—61no—
498C42—21no—
499C42—62no—
500C42—61no—
501C22×C3—22no—
502C22×C3—22no—
503C22×C3—22no—
504C22×C3—21no—
505C22×C3—32no—
506C22×C3—34no—
507C22×C3—32no—
508C22×C3—42no—
509C22×C3—68no—
510C22×C3—62no—
511C22×C3D3×C22⋊C412yes—
512C22×C3C2×C3×C22⋊C412yes—
513C22×C3C2×D3×D411yescharacteristic
514C22×C3C22×C3×D411yescharacteristic
515C2×D3—22no—
516C2×D3—28no—
517C2×D3C2×C3×C22⋊C412yes—
518C2×D3C2×C3×C22⋊C412yes—
519C2×D3C3×#13714yes—
520C3×C4—24no—
521C3×C4—24no—
522C3×C4—22no—
523C3×C4—21no—
524C3×C4—21no—
525C3×C4—32no—
526C3×C4—32no—
527C3×C4—44no—
528C3×C4—42no—
529C3×C4—42no—
530C3×C4—64no—
531C3×C4—82no—
532C3×C4—122no—
533C3×C4D3×C22⋊C412yes—
534C3×C4C2×C3×C22⋊C412yes—
535C3×C4C22×C4×D311yescharacteristic
536C3×C4C2×D3×D411yescharacteristic
537C3×C4C23×C3×C411yescharacteristic
538C3×C4C22×C3×D411yescharacteristic
539Dic3—24no—
540Dic3—42no—
541Dic3C2×C3×C22⋊C412yes—
542Dic3C2×C3×C22⋊C412yes—
543C32C2×#41911yescharacteristic, complemented, Sylow
544C23—31no—
545C23—34no—
546C23—31no—
547C23—64no—
548C23C3×D3×D411yescharacteristic
549Q8—24no—
550Q8—22no—
551Q8—34no—
552Q8—68no—
553Q8—68no—
554Q8—64no—
555Q8—62no—
556Q8C2×C3×C4×D314yes—
557C2×C4—24no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—34no—
561C2×C4—31no—
562C2×C4—31no—
563C2×C4—34no—
564C2×C4—34no—
565C2×C4—32no—
566C2×C4—32no—
567C2×C4—32no—
568C2×C4—32no—
569C2×C4—68no—
570C2×C4—68no—
571C2×C4—64no—
572C2×C4—62no—
573C2×C4—62no—
574C2×C4—124no—
575C2×C4C2×C3×C4×D312yes—
576C2×C4C3×D3×D411yescharacteristic
577C2×C4C3×D3×D412yes—
578C2×C4C23×C3×D311yescharacteristic
579C8—22no—
580C8—62no—
581C2×C3—22no—
582C2×C3—22no—
583C2×C3—22no—
584C2×C3—21no—
585C2×C3—34no—
586C2×C3—42no—
587C2×C3—62no—
588C2×C3C2×D3×C22⋊C411yescharacteristic
589C2×C3D3×#13712yes—
590C2×C3C22×C3×C22⋊C411yescharacteristic
591C2×C3C2×C3×#13712yes—
592D3—22no—
593D3C3×#41914yesdirect product factor
594C22—22no—
595C22—34no—
596C22—32no—
597C22—32no—
598C22—68no—
599C22—62no—
600C22C3×D3×C22⋊C412yes—
601C22C2×C3×D3×D411yescharacteristic
602C4—24no—
603C4—32no—
604C4—32no—
605C4—42no—
606C4—64no—
607C4—122no—
608C4C3×D3×C22⋊C412yes—
609C4C22×C3×C4×D311yescharacteristic
610C4C2×C3×D3×D411yescharacteristic
611C3—21no—
612C3D3×#41911yescharacteristic, direct product factor
613C3C2×C3×#41911yescharacteristic, complemented
614C2—22no—
615C2—34no—
616C2—62no—
617C2C2×C3×D3×C22⋊C411yescharacteristic
618C2C3×D3×#13712yes—
subgroupG/H
centerC22×C3C2×D3×D4
commutatorC3×C4C23×C3×C4
FrattiniC2×C4C23×C3×D3
FittingC32×#419C2
socleC22×C32C22×D4
prime radicalC23×C3×D3D4
cosocleC2×C3×C4C24×C3
hypercenterC3×#419D3
hypocenterC3C2×C3×#419
LCSG ▷ C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C3×#419

Complements

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

NH ≅ G/Ntype
4. C32×#419C2semidirect
5. C3×#5225C2semidirect
6. C3×#5120C2semidirect
7. C3×#5004C2semidirect
8. C3×#4802C2semidirect
9. C3×D3×#103C2semidirect
11. D3×#419C3direct (N × H)
16. C2×C3×D3×Q8C4semidirect
36. C32×#103C22semidirect
37. C3×#835C22semidirect
38. C3×#816C22semidirect
39. C3×#810C22semidirect
51. C3×#419D3direct (N × H)
52. C3×#419C2×C3semidirect
54. #5225C2×C3semidirect
55. #5120C2×C3semidirect
56. #5004C2×C3semidirect
57. #4802C2×C3semidirect
58. D3×#103C2×C3semidirect
62. C2×C32×Q8C2×C4semidirect
73. C3×D3×Q8C2×C4semidirect
89. C2×C3×Dic6C2×C4semidirect
123. C2×D3×Q8C3×C4semidirect
162. C3×#103C2×D3semidirect
163. C3×#103C22×C3semidirect
164. #835C22×C3semidirect
165. #816C22×C3semidirect
166. #810C22×C3semidirect
211. #419C3×D3direct (N × H)
236. C2×C3×Q8C4×D3semidirect
237. C2×C3×Q8C2×C3×C4semidirect
265. D3×Q8C2×C3×C4semidirect
281. C2×Dic6C2×C3×C4semidirect
362. #103C2×C3×D3semidirect
453. C3×D3#419direct (N × H)
470. C2×Q8C3×C4×D3semidirect
543. C32C2×#419semidirect
593. D3C3×#419direct (N × H)
612. C3D3×#419direct (N × H)
613. C3C2×C3×#419semidirect

Maximal subgroups

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

subgroupindex
C22×C3×D3×Q82
C2×C3×D3×M162
C3×D3×#1172
C32×#4192
C3×#52252
C3×#51202
C3×#50042
C3×#48022
C3×D3×#1032
C2×C3×#4193
D3×#4193