Finite Group Databasebeta

← C3×#82537 #11860477

Subgroups — C3×#82537 #11860477

Order 1152.

1181 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
1C32×#518C211yesmaximal, characteristic, complemented
2C2×C3×#932C211yesmaximal, characteristic
3C3×#5523C211yesmaximal, characteristic, complemented
4C2×C3×#832C211yesmaximal, characteristic, complemented
5C3×#5018C212yesmaximal, complemented
6C3×C4×#214C212yesmaximal, complemented
7C3×#5014C212yesmaximal, complemented
8C3×C4×#213C212yesmaximal, complemented
9C3×#5002C211yesmaximal, characteristic, complemented
10C3×#4997C211yesmaximal, characteristic, complemented
11C3×#4995C211yesmaximal, characteristic, complemented
12C3×#2946—31nomaximal
13#82537C311yesmaximal, characteristic, direct product factor
14C22×C32×D4C2211yescharacteristic
15C2×C3×#235C2211yescharacteristic
16C32×C4×D4—21no—
17C32×C4×D4—21no—
18C32×C4×D4C2212yes—
19C32×C4×D4C2212yes—
20C32×#117C2211yescharacteristic
21C32×#117C2211yescharacteristic
22C2×C32×C22⋊C4—22no—
23C2×C3×#214C2212yes—
24C3×#932C418yescomplemented
25C2×C3×#213C2212yes—
26C2×C3×C4⋊Dic3C2211yescharacteristic
27C2×C3×#208C2211yescharacteristic
28C22×C3×C3⋊C8C2211yescharacteristic
29C3×#892—21no—
30C3×D3×C4⋊C4—21no—
31C3×#67⋊C4—22no—
32C3×C4×D12C2212yescomplemented
33C3×C4×Dic6C2212yescomplemented
34C3×#832C2212yes—
35C3×#832C2212yes—
36C3×#810C2211yescharacteristic, complemented
37C3×#810C2211yescharacteristic, complemented
38C3×#809C2211yescharacteristic, complemented
39C3×#809C2211yescharacteristic, complemented
40C3×#808C2212yescomplemented
41C3×#807C2212yescomplemented
42C3×#803C2212yescomplemented
43C3×C4×C3⋊C8C2212yescomplemented
44C2×C3×AGL(1,ℤ/8)—31no—
45C3×#520—31no—
46C3×#518—21no—
47C3×#518D311yescharacteristic, complemented
48C3×#518C2×C311yescharacteristic, complemented
49C2×#932C2×C311yescharacteristic
50#5523C2×C311yescharacteristic, complemented
51C3×#442—32no—
52C3×#440—32no—
53C3×C4×SD16—32no—
54C3×C4×D8—32no—
55C3×#428—31no—
56C3×#416—31no—
57C2×C3×#102—31no—
58C3×#405—31no—
59C2×#832C2×C311yescharacteristic, complemented
60#5018C2×C312yescomplemented
61C4×#214C2×C312yescomplemented
62#5014C2×C312yescomplemented
63C4×#213C2×C312yescomplemented
64#5002C2×C311yescharacteristic, complemented
65#4997C2×C311yescharacteristic, complemented
66#4995C2×C311yescharacteristic, complemented
67C24×C32—21no—
68C2×C32×D4—21no—
69C2×C32×D4—22no—
70C2×C32×D4C2×C414yescomplemented
71C2×C32×D4C2312yes—
72C22×C32×C4—22no—
73C22×C32×C4—22no—
74C22×C32×C4C2311yescharacteristic
75C2×C3×#67—21no—
76C22×C3×Dic3—21no—
77C3×#235—22no—
78C3×#235C2×C414yescomplemented
79C2×C3×D12C2311yescharacteristic
80C2×C3×C4×D3—21no—
81C2×C3×C4×D3—22no—
82C2×C3×Dic6C2311yescharacteristic
83C32×C4⋊C4D411yescharacteristic
84C32×C4⋊C4D411yescharacteristic
85C32×C4⋊C4C2311yescharacteristic
86C32×C4⋊C4C2311yescharacteristic
87C32×C22⋊C4—21no—
88C32×C22⋊C4—22no—
89C32×C22⋊C4—22no—
90C32×C22⋊C4D412yes—
91C32×C42—21no—
92C32×C42C2312yes—
93C3×#214C2×C418yescomplemented
94C3×#213C2×C418yescomplemented
95C3×(C2×D3)⋊C4—22no—
96C3×C4⋊Dic3—21no—
97C3×C4⋊Dic3C2312yes—
98C3×Dic3⋊C4—22no—
99C3×C4×Dic3—22no—
100C3×#208C2×C414yescomplemented
101C2×C3×C3⋊C8—22no—
102C2×C3×C3⋊C8C2311yescharacteristic
103C2×C3×C3⋊C8C2311yescharacteristic
104C2×C3×C3⋊C8C2312yes—
105#2946—31noSylow
106C2×C3×#41—31no—
107C22×C3×D4—21no—
108C22×C3×D4C2×D311yescharacteristic
109C22×C3×D4C22×C311yescharacteristic
110C2×#235C22×C311yescharacteristic
111C3×AGL(1,ℤ/8)—38no—
112C2×C3×SD16—32no—
113C2×C3×D8—32no—
114C2×C3×M16—31no—
115C22×C3×C8—31no—
116C3×C4×Q8—32no—
117C3×C4×D4—22no—
118C3×C4×D4—22no—
119C3×C4×D4—21no—
120C3×C4×D4—21no—
121C3×C4×D4—21no—
122C3×C4×D4—21no—
123C3×C4×D4—22no—
124C3×C4×D4—22no—
125C3×C4×D4—32no—
126C3×C4×D4—62no—
127C3×C4×D4C2×D312yes—
128C3×C4×D4C2×D312yes—
129C3×C4×D4C22×C312yes—
130C3×C4×D4C22×C312yes—
131C3×#117—21no—
132C3×#117—21no—
133C3×#117—61no—
134C3×#117C2×D311yescharacteristic
135C3×#117C2×D311yescharacteristic
136C3×#117C22×C311yescharacteristic
137C3×#117C22×C311yescharacteristic
138C2×C3×C4⋊C4—31no—
139C2×C3×C4⋊C4—61no—
140C2×C3×C22⋊C4—24no—
141C2×C3×C22⋊C4—22no—
142C2×C3×C22⋊C4—22no—
143C2×#214C22×C312yes—
144#932C3×C418yescomplemented
145C2×#213C22×C312yes—
146C2×C4⋊Dic3C22×C311yescharacteristic
147C2×#208C22×C311yescharacteristic
148C22×C3⋊C8C22×C311yescharacteristic
149#892—21no—
150D3×C4⋊C4—21no—
151#67⋊C4—22no—
152C4×D12C22×C312yescomplemented
153C4×Dic6C22×C312yescomplemented
154C3×#107—32no—
155C3×#106—32no—
156C3×#103—31no—
157C3×#103—31no—
158C3×#102—32no—
159C3×#102—32no—
160C3×#102—31no—
161C3×#102—31no—
162C3×#97—32no—
163C3×C4×C8—32no—
164#832C22×C312yes—
165#832C22×C312yes—
166#810C22×C311yescharacteristic, complemented
167#810C22×C311yescharacteristic, complemented
168#809C22×C311yescharacteristic, complemented
169#809C22×C311yescharacteristic, complemented
170#808C22×C312yescomplemented
171#807C22×C312yescomplemented
172#803C22×C312yescomplemented
173C4×C3⋊C8C22×C312yescomplemented
174C23×C32—22no—
175C23×C32—24no—
176C23×C32—81no—
177C23×C32—81no—
178C23×C32C2×D411yescharacteristic
179C22×C3×D3—21no—
180C32×D4—24no—
181C32×D4—22no—
182C32×D4C22×C414yes—
183C2×C32×C4—21no—
184C2×C32×C4—21no—
185C2×C32×C4—82no—
186C2×C32×C4—82no—
187C2×C32×C4C22×C412yes—
188C2×C32×C4C2×D412yes—
189C2×C32×C4C2×D412yes—
190C2×C32×C4C2×D411yescharacteristic
191C2×C32×C4#4112yes—
192C2×C32×C4C2411yescharacteristic
193C3×#67—24no—
194C2×C3×Dic3—21no—
195C2×C3×Dic3—22no—
196C2×C3×Dic3—81no—
197C3×D12—21no—
198C3×D12C22×C412yes—
199C3×C4×D3—24no—
200C3×C4×D3—82no—
201C3×Dic6—21no—
202C3×Dic6C22×C412yes—
203C3×C3⋊C8—21no—
204C3×C3⋊C8—21no—
205C3×C3⋊C8C22×C414yes—
206C2×AGL(1,ℤ/8)—31no—
207#520—31no—
208#518C3×D311yescharacteristic, complemented
209#442—32no—
210#440—32no—
211C4×SD16—32no—
212C4×D8—32no—
213#428—31no—
214#416—31no—
215C2×#102—31no—
216#405—31no—
217C24×C3—22no—
218C24×C3—21no—
219C24×C3—21no—
220C3×#41—34no—
221C3×#41—62no—
222C2×C3×Q8—31no—
223C2×C3×D4—22no—
224C2×C3×D4—24no—
225C2×C3×D4—22no—
226C2×C3×D4—21no—
227C2×C3×D4—21no—
228C2×C3×D4—22no—
229C2×C3×D4—24no—
230C2×C3×D4—22no—
231C2×C3×D4—31no—
232C2×C3×D4—61no—
233C2×C3×D4C4×D314yescomplemented
234C2×C3×D4C2×C3×C414yescomplemented
235C2×C3×D4C22×D312yes—
236C2×C3×D4C23×C312yes—
237C22×C3×C4—24no—
238C22×C3×C4—24no—
239C22×C3×C4—22no—
240C22×C3×C4—22no—
241C22×C3×C4—22no—
242C22×C3×C4—22no—
243C22×C3×C4—21no—
244C22×C3×C4—61no—
245C22×C3×C4—61no—
246C22×C3×C4—62no—
247C22×C3×C4C22×D311yescharacteristic
248C22×C3×C4C23×C311yescharacteristic
249C2×#67—21no—
250C22×Dic3—21no—
251#235—22no—
252#235C2×C3×C414yescomplemented
253C2×D12C23×C311yescharacteristic
254C2×C4×D3—21no—
255C2×C4×D3—22no—
256C2×Dic6C23×C311yescharacteristic
257C3×SD16—38no—
258C3×D8—38no—
259C3×M16—34no—
260C2×C3×C8—32no—
261C2×C3×C8—31no—
262C2×C3×C8—31no—
263C2×C3×C8—62no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—32no—
269C3×C4⋊C4—62no—
270C3×C4⋊C4—61no—
271C3×C4⋊C4#6711yescharacteristic
272C3×C4⋊C4#6711yescharacteristic
273C3×C4⋊C4C3×D411yescharacteristic
274C3×C4⋊C4C3×D411yescharacteristic
275C3×C4⋊C4C22×D311yescharacteristic
276C3×C4⋊C4C22×D311yescharacteristic
277C3×C4⋊C4C23×C311yescharacteristic
278C3×C4⋊C4C23×C311yescharacteristic
279C3×C22⋊C4—22no—
280C3×C22⋊C4—24no—
281C3×C22⋊C4—24no—
282C3×C22⋊C4—21no—
283C3×C22⋊C4—21no—
284C3×C22⋊C4—22no—
285C3×C22⋊C4—22no—
286C3×C22⋊C4—22no—
287C3×C22⋊C4—22no—
288C3×C22⋊C4—22no—
289C3×C22⋊C4—62no—
290C3×C22⋊C4#6712yes—
291C3×C22⋊C4C3×D412yes—
292C3×C42—22no—
293C3×C42—21no—
294C3×C42—21no—
295C3×C42—22no—
296C3×C42—62no—
297C3×C42C22×D312yes—
298C3×C42C23×C312yes—
299#214C2×C3×C418yescomplemented
300#213C2×C3×C418yescomplemented
301(C2×D3)⋊C4—22no—
302C4⋊Dic3—21no—
303C4⋊Dic3C23×C312yes—
304Dic3⋊C4—22no—
305C4×Dic3—22no—
306#208C2×C3×C414yescomplemented
307C2×C3⋊C8—22no—
308C2×C3⋊C8C23×C311yescharacteristic
309C2×C3⋊C8C23×C311yescharacteristic
310C2×C3⋊C8C23×C312yes—
311C22×C32—24no—
312C22×C32—21no—
313C22×C32—21no—
314C22×C32—42no—
315C22×C32—42no—
316C22×C32—84no—
317C22×C32C4×D412yes—
318C22×C32C22×D411yescharacteristic
319C2×C3×D3—22no—
320C2×C3×D3—41no—
321C2×C3×D3—41no—
322C32×C4—22no—
323C32×C4—22no—
324C32×C4—41no—
325C32×C4—41no—
326C32×C4C4×D412yes—
327C32×C4C23×C411yescharacteristic
328C32×C4C2×#4111yescharacteristic
329C3×Dic3—22no—
330C3×Dic3—42no—
331C2×#41—31no—
332C22×D4C2×C3×D311yescharacteristic
333AGL(1,ℤ/8)—38no—
334C2×SD16—32no—
335C2×D8—32no—
336C2×M16—31no—
337C22×C8—31no—
338C4×Q8—32no—
339C4×D4—21no—
340C4×D4—21no—
341C4×D4—32no—
342C4×D4—62no—
343C4×D4C2×C3×D312yes—
344C4×D4C2×C3×D312yes—
345#117—61no—
346#117C2×C3×D311yescharacteristic
347#117C2×C3×D311yescharacteristic
348C2×C4⋊C4—31no—
349C2×C4⋊C4—61no—
350C2×C22⋊C4—22no—
351#107—32no—
352#106—32no—
353#103—31no—
354#103—31no—
355#102—32no—
356#102—32no—
357#102—31no—
358#102—31no—
359#97—32no—
360C4×C8—32no—
361C23×C3—24no—
362C23×C3—28no—
363C23×C3—22no—
364C23×C3—22no—
365C23×C3—24no—
366C23×C3—24no—
367C23×C3—21no—
368C23×C3—61no—
369C23×C3—81no—
370C23×C3—81no—
371C23×C3—81no—
372C23×C3—81no—
373C23×C3—82no—
374C23×C3—82no—
375C23×C3C2×#6711yescharacteristic
376C23×C3C2×C3×D411yescharacteristic
377C22×D3—21no—
378C3×Q8—32no—
379C3×Q8—61no—
380C3×D4—28no—
381C3×D4—24no—
382C3×D4—24no—
383C3×D4—24no—
384C3×D4—22no—
385C3×D4—22no—
386C3×D4—24no—
387C3×D4—32no—
388C3×D4—64no—
389C3×D4—61no—
390C3×D4C2×C4×D314yes—
391C3×D4C22×C3×C414yes—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—21no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—22no—
400C2×C3×C4—22no—
401C2×C3×C4—21no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—61no—
405C2×C3×C4—64no—
406C2×C3×C4—62no—
407C2×C3×C4—82no—
408C2×C3×C4—82no—
409C2×C3×C4—82no—
410C2×C3×C4—82no—
411C2×C3×C4—84no—
412C2×C3×C4—84no—
413C2×C3×C4—242no—
414C2×C3×C4—241no—
415C2×C3×C4C2×C4×D312yes—
416C2×C3×C4#23512yes—
417C2×C3×C4C2×#6712yes—
418C2×C3×C4C2×#6712yes—
419C2×C3×C4C2×#6711yescharacteristic
420C2×C3×C4C22×C3×C412yes—
421C2×C3×C4C2×C3×D412yes—
422C2×C3×C4C2×C3×D412yes—
423C2×C3×C4C2×C3×D411yescharacteristic
424C2×C3×C4C3×#4112yes—
425C2×C3×C4C23×D311yescharacteristic
426C2×C3×C4C24×C311yescharacteristic
427#67—24no—
428C2×Dic3—21no—
429C2×Dic3—22no—
430C2×Dic3—81no—
431D12—21no—
432D12C22×C3×C412yes—
433C4×D3—24no—
434C4×D3—82no—
435Dic6—21no—
436Dic6C22×C3×C412yes—
437C3×C8—34no—
438C3×C8—61no—
439C3×C8—61no—
440C3⋊C8—21no—
441C3⋊C8—21no—
442C3⋊C8C22×C3×C414yes—
443C2×C32—22no—
444C2×C32—44no—
445C2×C32C2×C4×D411yescharacteristic
446C2×C32#57611yescharacteristic
447C2×C32#57711yescharacteristic
448C3×D3—42no—
449C24—21no—
450#41—34no—
451#41—62no—
452C2×Q8—31no—
453C2×D4—22no—
454C2×D4—21no—
455C2×D4—31no—
456C2×D4—61no—
457C2×D4C3×C4×D314yescomplemented
458C2×D4C22×C3×D312yes—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—61no—
462C22×C4—61no—
463C22×C4—62no—
464C22×C4C22×C3×D311yescharacteristic
465SD16—38no—
466D8—38no—
467M16—34no—
468C2×C8—32no—
469C2×C8—31no—
470C2×C8—31no—
471C2×C8—62no—
472C4⋊C4—32no—
473C4⋊C4—61no—
474C4⋊C4—62no—
475C4⋊C4C3×#6711yescharacteristic
476C4⋊C4C3×#6711yescharacteristic
477C4⋊C4C22×C3×D311yescharacteristic
478C4⋊C4C22×C3×D311yescharacteristic
479C22⋊C4—21no—
480C22⋊C4—22no—
481C22⋊C4—22no—
482C22⋊C4—62no—
483C22⋊C4C3×#6712yes—
484C42—21no—
485C42—62no—
486C42C22×C3×D312yes—
487C22×C3—21no—
488C22×C3—21no—
489C22×C3—21no—
490C22×C3—21no—
491C22×C3—28no—
492C22×C3—24no—
493C22×C3—24no—
494C22×C3—22no—
495C22×C3—21no—
496C22×C3—41no—
497C22×C3—41no—
498C22×C3—44no—
499C22×C3—44no—
500C22×C3—42no—
501C22×C3—42no—
502C22×C3—42no—
503C22×C3—42no—
504C22×C3—62no—
505C22×C3—84no—
506C22×C3—84no—
507C22×C3—88no—
508C22×C3—121no—
509C22×C3—121no—
510C22×C3C4×#6712yes—
511C22×C3C3×C4×D412yes—
512C22×C3C22×#6711yescharacteristic
513C22×C3C22×C3×D411yescharacteristic
514C2×D3—22no—
515C2×D3—41no—
516C2×D3—41no—
517C3×C4—22no—
518C3×C4—22no—
519C3×C4—22no—
520C3×C4—22no—
521C3×C4—22no—
522C3×C4—21no—
523C3×C4—21no—
524C3×C4—42no—
525C3×C4—42no—
526C3×C4—42no—
527C3×C4—42no—
528C3×C4—41no—
529C3×C4—41no—
530C3×C4—41no—
531C3×C4—41no—
532C3×C4—62no—
533C3×C4—122no—
534C3×C4C4×#6712yes—
535C3×C4C3×C4×D412yes—
536C3×C4C22×C4×D311yescharacteristic
537C3×C4C2×#23511yescharacteristic
538C3×C4C23×C3×C411yescharacteristic
539C3×C4C2×C3×#4111yescharacteristic
540Dic3—22no—
541Dic3—42no—
542C32#294611yescharacteristic, complemented, Sylow
543C23—22no—
544C23—24no—
545C23—61no—
546C23—81no—
547C23—81no—
548C23C2×C3×#6711yescharacteristic
549Q8—32no—
550Q8—61no—
551D4—24no—
552D4—22no—
553D4—32no—
554D4—64no—
555D4—61no—
556D4C2×C3×C4×D314yes—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—61no—
560C2×C4—64no—
561C2×C4—62no—
562C2×C4—82no—
563C2×C4—82no—
564C2×C4—242no—
565C2×C4—241no—
566C2×C4C2×C3×C4×D312yes—
567C2×C4C3×#23512yes—
568C2×C4C2×C3×#6712yes—
569C2×C4C2×C3×#6712yes—
570C2×C4C2×C3×#6711yescharacteristic
571C2×C4C23×C3×D311yescharacteristic
572C8—34no—
573C8—61no—
574C8—61no—
575C2×C3—22no—
576C2×C3—22no—
577C2×C3—21no—
578C2×C3—21no—
579C2×C3—21no—
580C2×C3—42no—
581C2×C3—48no—
582C2×C3—44no—
583C2×C3—44no—
584C2×C3—122no—
585C2×C3C2×C4×#6711yescharacteristic
586C2×C3#583511yescharacteristic
587C2×C3#583611yescharacteristic
588C2×C3C2×C3×C4×D411yescharacteristic
589C2×C3C3×#57611yescharacteristic
590C2×C3C3×#57711yescharacteristic
591D3—42no—
592C22—21no—
593C22—21no—
594C22—24no—
595C22—42no—
596C22—42no—
597C22—62no—
598C22—84no—
599C22—121no—
600C22—121no—
601C22C3×C4×#6712yes—
602C22C22×C3×#6711yescharacteristic
603C4—22no—
604C4—22no—
605C4—41no—
606C4—41no—
607C4—62no—
608C4—122no—
609C4C3×C4×#6712yes—
610C4C22×C3×C4×D311yescharacteristic
611C4C2×C3×#23511yescharacteristic
612C3—21no—
613C3#8253711yescharacteristic, direct product factor
614C3C3×#294611yescharacteristic, complemented
615C2—22no—
616C2—44no—
617C2—122no—
618C2C2×C3×C4×#6711yescharacteristic
619C2C3×#583511yescharacteristic
620C2C3×#583611yescharacteristic
subgroupG/H
centerC22×C3C22×#67
commutatorC3×C4C23×C3×C4
FrattiniC2×C4C23×C3×D3
FittingC32×#518C2
socleC22×C32C22×D4
prime radicalC2×C3×#932C2
cosocleC2×C3×C4C24×C3
hypercenterC3×#518D3
hypocenterC3C3×#2946
LCSG ▷ C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×#117 ◁ C3×#518

Complements

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

NH ≅ G/Ntype
1. C32×#518C2semidirect
3. C3×#5523C2semidirect
4. C2×C3×#832C2semidirect
5. C3×#5018C2semidirect
6. C3×C4×#214C2semidirect
7. C3×#5014C2semidirect
8. C3×C4×#213C2semidirect
9. C3×#5002C2semidirect
10. C3×#4997C2semidirect
11. C3×#4995C2semidirect
13. #82537C3direct (N × H)
24. C3×#932C4semidirect
32. C3×C4×D12C22semidirect
33. C3×C4×Dic6C22semidirect
36. C3×#810C22semidirect
37. C3×#810C22semidirect
38. C3×#809C22semidirect
39. C3×#809C22semidirect
40. C3×#808C22semidirect
41. C3×#807C22semidirect
42. C3×#803C22semidirect
43. C3×C4×C3⋊C8C22semidirect
47. C3×#518D3semidirect
48. C3×#518C2×C3semidirect
50. #5523C2×C3semidirect
59. C2×#832C2×C3semidirect
60. #5018C2×C3semidirect
61. C4×#214C2×C3semidirect
62. #5014C2×C3semidirect
63. C4×#213C2×C3semidirect
64. #5002C2×C3semidirect
65. #4997C2×C3semidirect
66. #4995C2×C3semidirect
70. C2×C32×D4C2×C4semidirect
78. C3×#235C2×C4semidirect
93. C3×#214C2×C4semidirect
94. C3×#213C2×C4semidirect
100. C3×#208C2×C4semidirect
144. #932C3×C4semidirect
152. C4×D12C22×C3semidirect
153. C4×Dic6C22×C3semidirect
166. #810C22×C3semidirect
167. #810C22×C3semidirect
168. #809C22×C3semidirect
169. #809C22×C3semidirect
170. #808C22×C3semidirect
171. #807C22×C3semidirect
172. #803C22×C3semidirect
173. C4×C3⋊C8C22×C3semidirect
208. #518C3×D3semidirect
233. C2×C3×D4C4×D3semidirect
234. C2×C3×D4C2×C3×C4semidirect
252. #235C2×C3×C4semidirect
299. #214C2×C3×C4semidirect
300. #213C2×C3×C4semidirect
306. #208C2×C3×C4semidirect
457. C2×D4C3×C4×D3semidirect
542. C32#2946semidirect
613. C3#82537direct (N × H)
614. C3C3×#2946semidirect

Maximal subgroups

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

subgroupindex
C32×#5182
C2×C3×#9322
C3×#55232
C2×C3×#8322
C3×#50182
C3×C4×#2142
C3×#50142
C3×C4×#2132
C3×#50022
C3×#49972
C3×#49952
C3×#29463
#825373