Finite Group Databasebeta

← C3×C4×#942 #11860368

Subgroups — C3×C4×#942 #11860368

Order 1152.

1117 conjugacy classes of subgroups.

The subgroup lattice has 641 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×C4×Q8C211yesmaximal, characteristic, complemented
2C2×C3×#942C211yesmaximal, characteristic
3C3×C4×#235C211yesmaximal, characteristic
4C3×#5225C211yesmaximal, characteristic, complemented
5C3×#5030C212yesmaximal, complemented
6C3×C4×#216C212yesmaximal, complemented
7C3×#5026C212yesmaximal, complemented
8C3×C4×#215C212yesmaximal, complemented
9C3×#4966C211yesmaximal, characteristic
10C3×#4964C211yesmaximal, characteristic, complemented
11C3×C4×#208C211yesmaximal, characteristic, complemented
12C3×C4×#137—31nomaximal
13C4×#942C311yesmaximal, characteristic, direct product factor
14C22×C32×Q8C2211yescharacteristic
15C2×C3×#235C2211yescharacteristic
16C32×C4×Q8—21no—
17C32×C4×Q8—21no—
18C32×C4×Q8C2212yes—
19C32×C4×Q8C2212yes—
20C2×C32×C4⋊C4—21no—
21C2×C32×C4⋊C4C2211yescharacteristic
22C2×C32×C42—21no—
23C2×C32×C42C2211yescharacteristic
24C2×C3×#216C2212yes—
25C3×#942C418yesdirect product factor
26C2×C3×#215C2212yes—
27C3×C4×#67—21no—
28C3×C4×#67—21no—
29C3×#926C2211yescharacteristic
30C2×C3×#208C2211yescharacteristic
31C2×C3×#208C2211yescharacteristic
32C3×C4×D12C2211yescharacteristic
33C3×C4×D12C2211yescharacteristic
34C3×#872—21no—
35C3×C42×D3—21no—
36C3×C4×Dic6C2211yescharacteristic
37C3×C4×Dic6C2211yescharacteristic
38C3×#835C2212yes—
39C3×#835C2212yes—
40C3×#810C2212yes—
41C3×#809C2212yes—
42C3×#808C2212yes—
43C3×#807C2212yes—
44C3×#803C2212yes—
45C3×C4×C3⋊C8C2212yes—
46C2×C3×#137—31no—
47C3×C4×#41—31no—
48C2×C3×C4×Q8—21no—
49C2×C3×C4×Q8D311yescharacteristic, complemented
50C2×C3×C4×Q8C2×C311yescharacteristic, complemented
51C2×#942C2×C311yescharacteristic
52C4×#235C2×C311yescharacteristic
53C3×#441—32no—
54C3×#440—32no—
55C3×C4×Q16—32no—
56C3×C4×SD16—32no—
57C3×#428—31no—
58C3×#419—31no—
59C3×#417—31no—
60C3×C4×M16—31no—
61#5225C2×C311yescharacteristic, complemented
62#5030C2×C312yescomplemented
63C4×#216C2×C312yescomplemented
64#5026C2×C312yescomplemented
65C4×#215C2×C312yescomplemented
66#4966C2×C311yescharacteristic
67#4964C2×C311yescharacteristic, complemented
68C4×#208C2×C311yescharacteristic, complemented
69C2×C32×Q8—21no—
70C2×C32×Q8—22no—
71C2×C32×Q8C2×C414yescomplemented
72C2×C32×Q8C2312yes—
73C22×C32×C4—21no—
74C22×C32×C4—21no—
75C22×C32×C4D411yescharacteristic
76C22×C32×C4D411yescharacteristic
77C22×C32×C4C2311yescharacteristic
78C2×C3×#67—21no—
79C3×#235—22no—
80C3×#235C2×C414yes—
81C2×C3×D12C2311yescharacteristic
82C2×C3×C4×D3—21no—
83C2×C3×C4×D3—21no—
84C2×C3×C4×D3—21no—
85C2×C3×Dic6C2311yescharacteristic
86C32×C4⋊C4—22no—
87C32×C4⋊C4—22no—
88C32×C4⋊C4—21no—
89C32×C4⋊C4C2312yes—
90C32×C42—22no—
91C32×C42—22no—
92C32×C42D411yescharacteristic
93C32×C42D411yescharacteristic
94C32×C42C2311yescharacteristic
95C32×C42C2311yescharacteristic
96C3×#217—21no—
97C3×#216C2×C418yescomplemented
98C3×#215C2×C418yescomplemented
99C3×(C2×D3)⋊C4—21no—
100C3×(C2×D3)⋊C4—21no—
101C3×C4⋊Dic3C2311yescharacteristic
102C3×C4⋊Dic3C2311yescharacteristic
103C3×Dic3⋊C4—21no—
104C3×Dic3⋊C4—21no—
105C3×C4×Dic3—21no—
106C3×C4×Dic3—21no—
107C3×C4×Dic3—21no—
108C3×#208—22no—
109C3×#208C2×C414yescomplemented
110C2×C3×C3⋊C8C2312yes—
111C2×C3×C3⋊C8C2312yes—
112C4×#137—31noSylow
113C2×C3×#41—31no—
114C22×C3×Q8—21no—
115C22×C3×Q8C2×D311yescharacteristic
116C22×C3×Q8C22×C311yescharacteristic
117C2×#235C22×C311yescharacteristic
118C3×#137—38no—
119C2×C3×Q16—32no—
120C2×C3×SD16—32no—
121C2×C3×M16—31no—
122C2×C3×M16—31no—
123C3×C4×Q8—22no—
124C3×C4×Q8—22no—
125C3×C4×Q8—21no—
126C3×C4×Q8—21no—
127C3×C4×Q8—21no—
128C3×C4×Q8—21no—
129C3×C4×Q8—22no—
130C3×C4×Q8—22no—
131C3×C4×Q8—31no—
132C3×C4×Q8—31no—
133C3×C4×Q8C2×D312yes—
134C3×C4×Q8C2×D312yes—
135C3×C4×Q8C22×C312yes—
136C3×C4×Q8C22×C312yes—
137C3×C4×D4—31no—
138C3×C4×D4—31no—
139C3×C4×D4—61no—
140C3×C4×D4—61no—
141C3×#117—31no—
142C3×#117—61no—
143C2×C3×C4⋊C4—22no—
144C2×C3×C4⋊C4—21no—
145C2×C3×C4⋊C4—21no—
146C2×C3×C4⋊C4—21no—
147C2×C3×C4⋊C4C2×D311yescharacteristic
148C2×C3×C4⋊C4C22×C311yescharacteristic
149C2×C3×C42—22no—
150C2×C3×C42—21no—
151C2×C3×C42—21no—
152C2×C3×C42—21no—
153C2×C3×C42—61no—
154C2×C3×C42C2×D311yescharacteristic
155C2×C3×C42C22×C311yescharacteristic
156C2×#216C22×C312yes—
157#942C3×C418yesdirect product factor
158C2×#215C22×C312yes—
159C4×#67—21no—
160C4×#67—21no—
161#926C22×C311yescharacteristic
162C2×#208C22×C311yescharacteristic
163C2×#208C22×C311yescharacteristic
164C4×D12C22×C311yescharacteristic
165C4×D12C22×C311yescharacteristic
166#872—21no—
167C42×D3—21no—
168C4×Dic6C22×C311yescharacteristic
169C4×Dic6C22×C311yescharacteristic
170C3×#107—32no—
171C3×#106—32no—
172C3×#103—32no—
173C3×#103—32no—
174C3×#103—32no—
175C3×#102—32no—
176C3×#97—32no—
177C3×C4×C8—32no—
178#835C22×C312yes—
179#835C22×C312yes—
180#810C22×C312yes—
181#809C22×C312yes—
182#808C22×C312yes—
183#807C22×C312yes—
184#803C22×C312yes—
185C4×C3⋊C8C22×C312yes—
186C23×C32C2×D411yescharacteristic
187C22×C3×D3—21no—
188C32×Q8—24no—
189C32×Q8—22no—
190C32×Q8C22×C414yes—
191C2×C32×C4—24no—
192C2×C32×C4—22no—
193C2×C32×C4—22no—
194C2×C32×C4—22no—
195C2×C32×C4—41no—
196C2×C32×C4—42no—
197C2×C32×C4C22×C412yes—
198C2×C32×C4C2×D411yescharacteristic
199C2×C32×C4C2×D411yescharacteristic
200C2×C32×C4C2×D411yescharacteristic
201C2×C32×C4C2×D411yescharacteristic
202C2×C32×C4C2×D411yescharacteristic
203C2×C32×C4#4112yes—
204C2×C32×C4C2411yescharacteristic
205C3×#67—24no—
206C2×C3×Dic3—21no—
207C2×C3×Dic3—21no—
208C2×C3×Dic3—21no—
209C3×D12—21no—
210C3×D12C22×C412yes—
211C3×C4×D3—24no—
212C3×C4×D3—42no—
213C3×C4×D3—42no—
214C3×Dic6—21no—
215C3×Dic6C22×C412yes—
216C3×C3⋊C8—22no—
217C3×C3⋊C8C22×C414yes—
218C2×#137—31no—
219C4×#41—31no—
220C2×C4×Q8C3×D311yescharacteristic, complemented
221#441—32no—
222#440—32no—
223C4×Q16—32no—
224C4×SD16—32no—
225#428—31no—
226#419—31no—
227#417—31no—
228C4×M16—31no—
229C3×#41—34no—
230C3×#41—62no—
231C2×C3×Q8—22no—
232C2×C3×Q8—24no—
233C2×C3×Q8—22no—
234C2×C3×Q8—21no—
235C2×C3×Q8—21no—
236C2×C3×Q8—22no—
237C2×C3×Q8—24no—
238C2×C3×Q8—22no—
239C2×C3×Q8—31no—
240C2×C3×Q8C4×D314yescomplemented
241C2×C3×Q8C2×C3×C414yescomplemented
242C2×C3×Q8C22×D312yes—
243C2×C3×Q8C23×C312yes—
244C2×C3×D4—31no—
245C2×C3×D4—61no—
246C22×C3×C4—22no—
247C22×C3×C4—21no—
248C22×C3×C4—21no—
249C22×C3×C4—22no—
250C22×C3×C4—21no—
251C22×C3×C4—21no—
252C22×C3×C4—21no—
253C22×C3×C4—21no—
254C22×C3×C4—21no—
255C22×C3×C4—61no—
256C22×C3×C4—61no—
257C22×C3×C4—61no—
258C22×C3×C4#6711yescharacteristic
259C22×C3×C4#6711yescharacteristic
260C22×C3×C4C3×D411yescharacteristic
261C22×C3×C4C3×D411yescharacteristic
262C22×C3×C4C22×D311yescharacteristic
263C22×C3×C4C23×C311yescharacteristic
264C2×#67—21no—
265#235—22no—
266#235C2×C3×C414yes—
267C2×D12C23×C311yescharacteristic
268C2×C4×D3—21no—
269C2×C4×D3—21no—
270C2×C4×D3—21no—
271C2×Dic6C23×C311yescharacteristic
272C3×Q16—38no—
273C3×SD16—38no—
274C3×M16—34no—
275C3×M16—62no—
276C2×C3×C8—32no—
277C2×C3×C8—32no—
278C3×C4⋊C4—24no—
279C3×C4⋊C4—24no—
280C3×C4⋊C4—22no—
281C3×C4⋊C4—22no—
282C3×C4⋊C4—22no—
283C3×C4⋊C4—21no—
284C3×C4⋊C4—22no—
285C3×C4⋊C4—22no—
286C3×C4⋊C4—21no—
287C3×C4⋊C4—22no—
288C3×C4⋊C4—31no—
289C3×C4⋊C4—31no—
290C3×C4⋊C4—61no—
291C3×C4⋊C4—61no—
292C3×C4⋊C4C22×D312yes—
293C3×C4⋊C4C23×C312yes—
294C3×C22⋊C4—61no—
295C3×C22⋊C4—61no—
296C3×C22⋊C4—61no—
297C3×C42—24no—
298C3×C42—24no—
299C3×C42—22no—
300C3×C42—22no—
301C3×C42—22no—
302C3×C42—22no—
303C3×C42—21no—
304C3×C42—21no—
305C3×C42—21no—
306C3×C42—21no—
307C3×C42—61no—
308C3×C42—61no—
309C3×C42—61no—
310C3×C42#6711yescharacteristic
311C3×C42#6711yescharacteristic
312C3×C42C3×D411yescharacteristic
313C3×C42C3×D411yescharacteristic
314C3×C42C22×D311yescharacteristic
315C3×C42C22×D311yescharacteristic
316C3×C42C23×C311yescharacteristic
317C3×C42C23×C311yescharacteristic
318#217—21no—
319#216C2×C3×C418yescomplemented
320#215C2×C3×C418yescomplemented
321(C2×D3)⋊C4—21no—
322(C2×D3)⋊C4—21no—
323C4⋊Dic3C23×C311yescharacteristic
324C4⋊Dic3C23×C311yescharacteristic
325Dic3⋊C4—21no—
326Dic3⋊C4—21no—
327C4×Dic3—21no—
328C4×Dic3—21no—
329C4×Dic3—21no—
330#208—22no—
331#208C2×C3×C414yescomplemented
332C2×C3⋊C8C23×C312yes—
333C2×C3⋊C8C23×C312yes—
334C22×C32—21no—
335C22×C32—21no—
336C22×C32C4×D412yes—
337C22×C32C22×D411yescharacteristic
338C2×C3×D3—22no—
339C2×C3×D3—41no—
340C2×C3×D3—41no—
341C32×C4—24no—
342C32×C4—21no—
343C32×C4—21no—
344C32×C4—21no—
345C32×C4—42no—
346C32×C4C4×D412yes—
347C32×C4#13712yescomplemented
348C32×C4C23×C411yescharacteristic
349C32×C4C2×#4111yescharacteristic
350C3×Dic3—22no—
351C3×Dic3—41no—
352C3×Dic3—41no—
353C2×#41—31no—
354C22×Q8C2×C3×D311yescharacteristic
355#137—38no—
356C2×Q16—32no—
357C2×SD16—32no—
358C2×M16—31no—
359C2×M16—31no—
360C4×Q8—21no—
361C4×Q8—21no—
362C4×Q8—31no—
363C4×Q8—31no—
364C4×Q8C2×C3×D312yes—
365C4×Q8C2×C3×D312yes—
366C4×D4—31no—
367C4×D4—31no—
368C4×D4—61no—
369C4×D4—61no—
370#117—31no—
371#117—61no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4C2×C3×D311yescharacteristic
374C2×C42—21no—
375C2×C42—61no—
376C2×C42C2×C3×D311yescharacteristic
377#107—32no—
378#106—32no—
379#103—32no—
380#103—32no—
381#103—32no—
382#102—32no—
383#97—32no—
384C4×C8—32no—
385C23×C3—21no—
386C23×C3—61no—
387C23×C3C2×#6711yescharacteristic
388C23×C3C2×C3×D411yescharacteristic
389C22×D3—21no—
390C3×Q8—28no—
391C3×Q8—24no—
392C3×Q8—24no—
393C3×Q8—24no—
394C3×Q8—22no—
395C3×Q8—22no—
396C3×Q8—24no—
397C3×Q8—32no—
398C3×Q8—61no—
399C3×Q8C2×C4×D314yes—
400C3×Q8C22×C3×C414yes—
401C3×D4—32no—
402C3×D4—64no—
403C3×D4—61no—
404C2×C3×C4—24no—
405C2×C3×C4—24no—
406C2×C3×C4—28no—
407C2×C3×C4—24no—
408C2×C3×C4—24no—
409C2×C3×C4—22no—
410C2×C3×C4—22no—
411C2×C3×C4—22no—
412C2×C3×C4—22no—
413C2×C3×C4—24no—
414C2×C3×C4—22no—
415C2×C3×C4—22no—
416C2×C3×C4—21no—
417C2×C3×C4—22no—
418C2×C3×C4—22no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—41no—
425C2×C3×C4—41no—
426C2×C3×C4—42no—
427C2×C3×C4—44no—
428C2×C3×C4—42no—
429C2×C3×C4—42no—
430C2×C3×C4—61no—
431C2×C3×C4—64no—
432C2×C3×C4—61no—
433C2×C3×C4—61no—
434C2×C3×C4—122no—
435C2×C3×C4—122no—
436C2×C3×C4C2×C4×D312yes—
437C2×C3×C4#23512yes—
438C2×C3×C4C2×#6711yescharacteristic
439C2×C3×C4C2×#6711yescharacteristic
440C2×C3×C4C2×#6711yescharacteristic
441C2×C3×C4C2×#6711yescharacteristic
442C2×C3×C4C2×#6711yescharacteristic
443C2×C3×C4C22×C3×C412yes—
444C2×C3×C4C2×C3×D411yescharacteristic
445C2×C3×C4C2×C3×D411yescharacteristic
446C2×C3×C4C2×C3×D411yescharacteristic
447C2×C3×C4C2×C3×D411yescharacteristic
448C2×C3×C4C2×C3×D411yescharacteristic
449C2×C3×C4C3×#4112yes—
450C2×C3×C4C23×D311yescharacteristic
451C2×C3×C4C24×C311yescharacteristic
452#67—24no—
453C2×Dic3—21no—
454C2×Dic3—21no—
455C2×Dic3—21no—
456D12—21no—
457D12C22×C3×C412yes—
458C4×D3—24no—
459C4×D3—42no—
460C4×D3—42no—
461Dic6—21no—
462Dic6C22×C3×C412yes—
463C3×C8—34no—
464C3×C8—62no—
465C3⋊C8—22no—
466C3⋊C8C22×C3×C414yes—
467C2×C32—22no—
468C2×C32C2×C4×D411yescharacteristic
469C2×C32C2×#13711yescharacteristic
470C2×C32#57511yescharacteristic
471C3×D3—42no—
472#41—34no—
473#41—62no—
474C2×Q8—22no—
475C2×Q8—21no—
476C2×Q8—31no—
477C2×Q8C3×C4×D314yescomplemented
478C2×Q8C22×C3×D312yes—
479C2×D4—31no—
480C2×D4—61no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—61no—
484C22×C4—61no—
485C22×C4—61no—
486C22×C4C3×#6711yescharacteristic
487C22×C4C3×#6711yescharacteristic
488C22×C4C22×C3×D311yescharacteristic
489Q16—38no—
490SD16—38no—
491M16—34no—
492M16—62no—
493C2×C8—32no—
494C2×C8—32no—
495C4⋊C4—22no—
496C4⋊C4—22no—
497C4⋊C4—21no—
498C4⋊C4—31no—
499C4⋊C4—31no—
500C4⋊C4—61no—
501C4⋊C4—61no—
502C4⋊C4C22×C3×D312yes—
503C22⋊C4—61no—
504C22⋊C4—61no—
505C22⋊C4—61no—
506C42—22no—
507C42—22no—
508C42—61no—
509C42—61no—
510C42—61no—
511C42C3×#6711yescharacteristic
512C42C3×#6711yescharacteristic
513C42C22×C3×D311yescharacteristic
514C42C22×C3×D311yescharacteristic
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—21no—
518C22×C3—21no—
519C22×C3—21no—
520C22×C3—21no—
521C22×C3—22no—
522C22×C3—21no—
523C22×C3—62no—
524C22×C3—121no—
525C22×C3—121no—
526C22×C3C4×#6712yes—
527C22×C3C3×C4×D412yes—
528C22×C3C22×#6711yescharacteristic
529C22×C3C22×C3×D411yescharacteristic
530C2×D3—22no—
531C2×D3—41no—
532C2×D3—41no—
533C3×C4—28no—
534C3×C4—22no—
535C3×C4—21no—
536C3×C4—21no—
537C3×C4—21no—
538C3×C4—24no—
539C3×C4—21no—
540C3×C4—21no—
541C3×C4—21no—
542C3×C4—24no—
543C3×C4—22no—
544C3×C4—22no—
545C3×C4—21no—
546C3×C4—21no—
547C3×C4—41no—
548C3×C4—41no—
549C3×C4—44no—
550C3×C4—42no—
551C3×C4—42no—
552C3×C4—62no—
553C3×C4—121no—
554C3×C4—121no—
555C3×C4C4×#6712yes—
556C3×C4#94212yesdirect product factor
557C3×C4C3×C4×D412yes—
558C3×C4C3×#13712yescomplemented
559C3×C4C22×C4×D311yescharacteristic
560C3×C4C2×#23511yescharacteristic
561C3×C4C23×C3×C411yescharacteristic
562C3×C4C2×C3×#4111yescharacteristic
563Dic3—22no—
564Dic3—41no—
565Dic3—41no—
566C32C4×#13711yescharacteristic, complemented, Sylow
567C23—61no—
568C23C2×C3×#6711yescharacteristic
569Q8—24no—
570Q8—22no—
571Q8—32no—
572Q8—61no—
573Q8C2×C3×C4×D314yes—
574D4—32no—
575D4—64no—
576D4—61no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—41no—
582C2×C4—42no—
583C2×C4—61no—
584C2×C4—64no—
585C2×C4—61no—
586C2×C4—61no—
587C2×C4—122no—
588C2×C4—122no—
589C2×C4C2×C3×C4×D312yes—
590C2×C4C3×#23512yes—
591C2×C4C2×C3×#6711yescharacteristic
592C2×C4C2×C3×#6711yescharacteristic
593C2×C4C2×C3×#6711yescharacteristic
594C2×C4C2×C3×#6711yescharacteristic
595C2×C4C2×C3×#6711yescharacteristic
596C2×C4C23×C3×D311yescharacteristic
597C8—34no—
598C8—62no—
599C2×C3—24no—
600C2×C3—22no—
601C2×C3—22no—
602C2×C3—21no—
603C2×C3—21no—
604C2×C3—21no—
605C2×C3—122no—
606C2×C3C2×C4×#6711yescharacteristic
607C2×C3C2×#94211yescharacteristic
608C2×C3#582211yescharacteristic
609C2×C3C2×C3×C4×D411yescharacteristic
610C2×C3C2×C3×#13711yescharacteristic
611C2×C3C3×#57511yescharacteristic
612D3—42no—
613C22—21no—
614C22—21no—
615C22—62no—
616C22—121no—
617C22—121no—
618C22C3×C4×#6712yes—
619C22C22×C3×#6711yescharacteristic
620C4—24no—
621C4—21no—
622C4—21no—
623C4—21no—
624C4—42no—
625C4—62no—
626C4—121no—
627C4—121no—
628C4C3×C4×#6712yes—
629C4C3×#94212yesdirect product factor
630C4C22×C3×C4×D311yescharacteristic
631C4C2×C3×#23511yescharacteristic
632C3—21no—
633C3C4×#94211yescharacteristic, direct product factor
634C3C3×C4×#13711yescharacteristic, complemented
635C2—22no—
636C2—122no—
637C2C2×C3×C4×#6711yescharacteristic
638C2C2×C3×#94211yescharacteristic
639C2C3×#582211yescharacteristic
subgroupG/H
centerC2×C3×C4C2×#67
commutatorC3×C4C23×C3×C4
FrattiniC2×C4C23×C3×D3
FittingC2×C32×C4×Q8C2
socleC22×C32C22×D4
prime radicalC2×C3×#235C22
cosocleC2×C3×C4C24×C3
hypercenterC2×C3×C4×Q8D3
hypocenterC3C3×C4×#137
LCSG ▷ C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C3×C4 ◁ C2×C3×C42 ◁ C2×C3×C4×Q8

Complements

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

NH ≅ G/Ntype
1. C2×C32×C4×Q8C2semidirect
4. C3×#5225C2semidirect
5. C3×#5030C2semidirect
6. C3×C4×#216C2semidirect
7. C3×#5026C2semidirect
8. C3×C4×#215C2semidirect
10. C3×#4964C2semidirect
11. C3×C4×#208C2semidirect
13. C4×#942C3direct (N × H)
25. C3×#942C4direct (N × H)
49. C2×C3×C4×Q8D3semidirect
50. C2×C3×C4×Q8C2×C3semidirect
61. #5225C2×C3semidirect
62. #5030C2×C3semidirect
63. C4×#216C2×C3semidirect
64. #5026C2×C3semidirect
65. C4×#215C2×C3semidirect
67. #4964C2×C3semidirect
68. C4×#208C2×C3semidirect
71. C2×C32×Q8C2×C4semidirect
97. C3×#216C2×C4semidirect
98. C3×#215C2×C4semidirect
109. C3×#208C2×C4semidirect
157. #942C3×C4direct (N × H)
220. C2×C4×Q8C3×D3semidirect
240. C2×C3×Q8C4×D3semidirect
241. C2×C3×Q8C2×C3×C4semidirect
319. #216C2×C3×C4semidirect
320. #215C2×C3×C4semidirect
331. #208C2×C3×C4semidirect
347. C32×C4#137semidirect
477. C2×Q8C3×C4×D3semidirect
556. C3×C4#942direct (N × H)
558. C3×C4C3×#137semidirect
566. C32C4×#137semidirect
629. C4C3×#942direct (N × H)
633. C3C4×#942direct (N × H)
634. C3C3×C4×#137semidirect

Maximal subgroups

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

subgroupindex
C2×C32×C4×Q82
C2×C3×#9422
C3×C4×#2352
C3×#52252
C3×#50302
C3×C4×#2162
C3×#50262
C3×C4×#2152
C3×#49662
C3×#49642
C3×C4×#2082
C3×C4×#1373
C4×#9423