Finite Group Databasebeta

← C3×#82564 #11860465

Subgroups — C3×#82564 #11860465

Order 1152.

1159 conjugacy classes of subgroups.

The subgroup lattice has 621 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#520C211yesmaximal, characteristic, complemented
2C2×C3×#949C211yesmaximal, characteristic
3C3×#5521C211yesmaximal, characteristic, complemented
4C3×#5233C211yesmaximal, characteristic, complemented
5C3×#5026C212yesmaximal, complemented
6C3×C4×#215C212yesmaximal, complemented
7C3×#5014C212yesmaximal, complemented
8C3×C4×#213C212yesmaximal, complemented
9C3×#4997C211yesmaximal, characteristic, complemented
10C2×C3×#809C211yesmaximal, characteristic, complemented
11C3×#4964C211yesmaximal, characteristic, complemented
12C3×#2946—31nomaximal
13#82564C311yesmaximal, characteristic, direct product factor
14C2×C32×#41C2211yescharacteristic
15C22×C3×D12C2211yescharacteristic
16C32×C4×Q8C2212yescomplemented
17C32×C4×D4—22no—
18C32×C4×D4C2212yescomplemented
19C32×#117—21no—
20C32×#117C2211yescharacteristic
21C2×C32×C4⋊C4—21no—
22C2×C32×C4⋊C4C2211yescharacteristic
23C3×#949C418yescomplemented
24C2×C3×#215C2212yes—
25C2×C3×#213C2212yes—
26C3×#926C2211yescharacteristic
27C2×C3×#208C2211yescharacteristic
28C22×C3×C3⋊C8C2211yescharacteristic
29C3×#893—21no—
30C3×#893—21no—
31C3×D3×C22⋊C4—22no—
32C3×C4×D12C2212yes—
33C3×C4×D12C2212yes—
34C3×#835C2211yescharacteristic, complemented
35C3×#835C2211yescharacteristic, complemented
36C3×#832C2211yescharacteristic, complemented
37C3×#832C2211yescharacteristic, complemented
38C3×#809C2212yes—
39C3×#809C2212yes—
40C3×#808C2212yescomplemented
41C3×#807C2212yescomplemented
42C3×#803C2212yescomplemented
43C3×C4×C3⋊C8C2212yescomplemented
44C2×C3×AGL(1,ℤ/8)—31no—
45C3×#520—21no—
46C3×#520D311yescharacteristic, complemented
47C3×#520C2×C311yescharacteristic, complemented
48C3×#518—31no—
49C2×#949C2×C311yescharacteristic
50#5521C2×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—
59#5233C2×C311yescharacteristic, complemented
60#5026C2×C312yescomplemented
61C4×#215C2×C312yescomplemented
62#5014C2×C312yescomplemented
63C4×#213C2×C312yescomplemented
64#4997C2×C311yescharacteristic, complemented
65C2×#809C2×C311yescharacteristic, complemented
66#4964C2×C311yescharacteristic, complemented
67C23×C3×D3—21no—
68C32×#41—22no—
69C32×#41C2×C414yescomplemented
70C2×C32×Q8C2311yescharacteristic
71C2×C32×D4—21no—
72C2×C32×D4C2311yescharacteristic
73C22×C32×C4—21no—
74C22×C32×C4—21no—
75C22×C32×C4—22no—
76C22×C32×C4C2311yescharacteristic
77C2×C3×D12—21no—
78C2×C3×D12—22no—
79C2×C3×D12C2×C414yescomplemented
80C2×C3×D12C2312yes—
81C2×C3×C4×D3—22no—
82C2×C3×C4×D3—22no—
83C32×C4⋊C4—21no—
84C32×C4⋊C4—22no—
85C32×C4⋊C4D411yescharacteristic
86C32×C4⋊C4D411yescharacteristic
87C32×C4⋊C4C2312yes—
88C32×C22⋊C4—22no—
89C32×C22⋊C4D412yes—
90C32×C42—22no—
91C32×C42C2312yes—
92C3×#217—21no—
93C3×#215C2×C418yescomplemented
94C3×#213C2×C418yescomplemented
95C3×(C2×D3)⋊C4—22no—
96C3×(C2×D3)⋊C4—22no—
97C3×C4⋊Dic3C2311yescharacteristic
98C3×C4⋊Dic3C2311yescharacteristic
99C3×C4×Dic3—21no—
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—21no—
107C2×C3×#41C2×D311yescharacteristic
108C2×C3×#41C22×C311yescharacteristic
109C22×C3×D4—31no—
110C22×D12C22×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—22no—
117C3×C4×Q8C2×D312yescomplemented
118C3×C4×Q8C22×C312yescomplemented
119C3×C4×D4—24no—
120C3×C4×D4—22no—
121C3×C4×D4—22no—
122C3×C4×D4—22no—
123C3×C4×D4—32no—
124C3×C4×D4—32no—
125C3×C4×D4—61no—
126C3×C4×D4—61no—
127C3×C4×D4C2×D312yescomplemented
128C3×C4×D4C22×C312yescomplemented
129C3×#117—22no—
130C3×#117—21no—
131C3×#117—21no—
132C3×#117—21no—
133C3×#117—31no—
134C3×#117C2×D311yescharacteristic
135C3×#117C22×C311yescharacteristic
136C2×C3×C4⋊C4—22no—
137C2×C3×C4⋊C4—21no—
138C2×C3×C4⋊C4—21no—
139C2×C3×C4⋊C4—21no—
140C2×C3×C4⋊C4C2×D311yescharacteristic
141C2×C3×C4⋊C4C22×C311yescharacteristic
142C2×C3×C22⋊C4—62no—
143#949C3×C418yescomplemented
144C2×#215C22×C312yes—
145C2×#213C22×C312yes—
146#926C22×C311yescharacteristic
147C2×#208C22×C311yescharacteristic
148C22×C3⋊C8C22×C311yescharacteristic
149#893—21no—
150#893—21no—
151D3×C22⋊C4—22no—
152C4×D12C22×C312yes—
153C4×D12C22×C312yes—
154C3×#107—32no—
155C3×#106—32no—
156C3×#103—31no—
157C3×#103—31no—
158C3×#102—31no—
159C3×#102—31no—
160C3×#102—32no—
161C3×#102—32no—
162C3×#97—32no—
163C3×C4×C8—32no—
164#835C22×C311yescharacteristic, complemented
165#835C22×C311yescharacteristic, complemented
166#832C22×C311yescharacteristic, complemented
167#832C22×C311yescharacteristic, complemented
168#809C22×C312yes—
169#809C22×C312yes—
170#808C22×C312yescomplemented
171#807C22×C312yescomplemented
172#803C22×C312yescomplemented
173C4×C3⋊C8C22×C312yescomplemented
174C23×C32—21no—
175C23×C32C2×D411yescharacteristic
176C22×C3×D3—22no—
177C22×C3×D3—24no—
178C22×C3×D3—81no—
179C22×C3×D3—81no—
180C32×Q8—21no—
181C32×Q8C22×C412yes—
182C32×D4—24no—
183C32×D4—21no—
184C32×D4C22×C412yes—
185C2×C32×C4—21no—
186C2×C32×C4—24no—
187C2×C32×C4—22no—
188C2×C32×C4—82no—
189C2×C32×C4—81no—
190C2×C32×C4C22×C412yes—
191C2×C32×C4C2×D412yes—
192C2×C32×C4C2×D412yes—
193C2×C32×C4C2×D411yescharacteristic
194C2×C32×C4#4112yes—
195C2×C32×C4C2411yescharacteristic
196C2×C3×Dic3—21no—
197C2×C3×Dic3—21no—
198C3×D12—24no—
199C3×D12—22no—
200C3×D12C22×C414yes—
201C3×C4×D3—82no—
202C3×C4×D3—82no—
203C3×C3⋊C8—21no—
204C3×C3⋊C8—21no—
205C3×C3⋊C8C22×C414yes—
206C2×AGL(1,ℤ/8)—31no—
207#520C3×D311yescharacteristic, complemented
208#518—31no—
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—61no—
218C23×D3—21no—
219C3×#41—24no—
220C3×#41—22no—
221C3×#41—22no—
222C3×#41—24no—
223C3×#41C4×D314yescomplemented
224C3×#41C2×C3×C414yescomplemented
225C2×C3×Q8—21no—
226C2×C3×Q8C22×D311yescharacteristic
227C2×C3×Q8C23×C311yescharacteristic
228C2×C3×D4—22no—
229C2×C3×D4—21no—
230C2×C3×D4—21no—
231C2×C3×D4—21no—
232C2×C3×D4—34no—
233C2×C3×D4—32no—
234C2×C3×D4—62no—
235C2×C3×D4—61no—
236C2×C3×D4C22×D311yescharacteristic
237C2×C3×D4C23×C311yescharacteristic
238C22×C3×C4—22no—
239C22×C3×C4—21no—
240C22×C3×C4—21no—
241C22×C3×C4—22no—
242C22×C3×C4—24no—
243C22×C3×C4—21no—
244C22×C3×C4—21no—
245C22×C3×C4—22no—
246C22×C3×C4—22no—
247C22×C3×C4—21no—
248C22×C3×C4—62no—
249C22×C3×C4—62no—
250C22×C3×C4C22×D311yescharacteristic
251C22×C3×C4C23×C311yescharacteristic
252C2×D12—21no—
253C2×D12—22no—
254C2×D12C2×C3×C414yescomplemented
255C2×D12C23×C312yes—
256C2×C4×D3—22no—
257C2×C4×D3—22no—
258C3×SD16—38no—
259C3×D8—38no—
260C3×M16—34no—
261C2×C3×C8—32no—
262C2×C3×C8—31no—
263C2×C3×C8—31no—
264C2×C3×C8—62no—
265C3×C4⋊C4—22no—
266C3×C4⋊C4—24no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—22no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—22no—
271C3×C4⋊C4—21no—
272C3×C4⋊C4—21no—
273C3×C4⋊C4—22no—
274C3×C4⋊C4—31no—
275C3×C4⋊C4—31no—
276C3×C4⋊C4#6711yescharacteristic
277C3×C4⋊C4#6711yescharacteristic
278C3×C4⋊C4C3×D411yescharacteristic
279C3×C4⋊C4C3×D411yescharacteristic
280C3×C4⋊C4C22×D312yes—
281C3×C4⋊C4C23×C312yes—
282C3×C22⋊C4—24no—
283C3×C22⋊C4—22no—
284C3×C22⋊C4—22no—
285C3×C22⋊C4—22no—
286C3×C22⋊C4—61no—
287C3×C22⋊C4—62no—
288C3×C22⋊C4—62no—
289C3×C22⋊C4#6712yes—
290C3×C22⋊C4C3×D412yes—
291C3×C42—24no—
292C3×C42—22no—
293C3×C42—22no—
294C3×C42—22no—
295C3×C42—61no—
296C3×C42C22×D312yes—
297C3×C42C23×C312yes—
298#217—21no—
299#215C2×C3×C418yescomplemented
300#213C2×C3×C418yescomplemented
301(C2×D3)⋊C4—22no—
302(C2×D3)⋊C4—22no—
303C4⋊Dic3C23×C311yescharacteristic
304C4⋊Dic3C23×C311yescharacteristic
305C4×Dic3—21no—
306#208C2×C3×C414yescomplemented
307C2×C3⋊C8—22no—
308C2×C3⋊C8C23×C311yescharacteristic
309C2×C3⋊C8C23×C311yescharacteristic
310C2×C3⋊C8C23×C312yes—
311C22×C32—22no—
312C22×C32—21no—
313C22×C32—21no—
314C22×C32—41no—
315C22×C32—41no—
316C22×C32C4×D412yes—
317C22×C32C22×D411yescharacteristic
318C2×C3×D3—24no—
319C2×C3×D3—42no—
320C2×C3×D3—42no—
321C2×C3×D3—84no—
322C32×C4—22no—
323C32×C4—22no—
324C32×C4—22no—
325C32×C4—42no—
326C32×C4C4×D412yes—
327C32×C4C23×C411yescharacteristic
328C32×C4C2×#4111yescharacteristic
329C3×Dic3—41no—
330C3×Dic3—41no—
331C2×#41C2×C3×D311yescharacteristic
332C22×D4—31no—
333AGL(1,ℤ/8)—38no—
334C2×SD16—32no—
335C2×D8—32no—
336C2×M16—31no—
337C22×C8—31no—
338C4×Q8C2×C3×D312yescomplemented
339C4×D4—22no—
340C4×D4—32no—
341C4×D4—32no—
342C4×D4—61no—
343C4×D4—61no—
344C4×D4C2×C3×D312yescomplemented
345#117—21no—
346#117—31no—
347#117C2×C3×D311yescharacteristic
348C2×C4⋊C4—21no—
349C2×C4⋊C4C2×C3×D311yescharacteristic
350C2×C22⋊C4—62no—
351#107—32no—
352#106—32no—
353#103—31no—
354#103—31no—
355#102—31no—
356#102—31no—
357#102—32no—
358#102—32no—
359#97—32no—
360C4×C8—32no—
361C23×C3—22no—
362C23×C3—21no—
363C23×C3—21no—
364C23×C3—21no—
365C23×C3—62no—
366C23×C3—64no—
367C23×C3—241no—
368C23×C3—241no—
369C23×C3C2×#6711yescharacteristic
370C23×C3C2×C3×D411yescharacteristic
371C22×D3—22no—
372C22×D3—24no—
373C22×D3—81no—
374C22×D3—81no—
375C3×Q8—22no—
376C3×Q8—21no—
377C3×Q8—21no—
378C3×Q8—22no—
379C3×Q8C2×C4×D312yes—
380C3×Q8C22×C3×C412yes—
381C3×D4—28no—
382C3×D4—22no—
383C3×D4—24no—
384C3×D4—24no—
385C3×D4—21no—
386C3×D4—21no—
387C3×D4—22no—
388C3×D4—34no—
389C3×D4—64no—
390C3×D4—62no—
391C3×D4C2×C4×D312yes—
392C3×D4C22×C3×C412yes—
393C2×C3×C4—22no—
394C2×C3×C4—28no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—24no—
398C2×C3×C4—24no—
399C2×C3×C4—24no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—21no—
403C2×C3×C4—22no—
404C2×C3×C4—22no—
405C2×C3×C4—21no—
406C2×C3×C4—22no—
407C2×C3×C4—22no—
408C2×C3×C4—61no—
409C2×C3×C4—61no—
410C2×C3×C4—82no—
411C2×C3×C4—82no—
412C2×C3×C4—81no—
413C2×C3×C4—81no—
414C2×C3×C4—84no—
415C2×C3×C4—82no—
416C2×C3×C4—242no—
417C2×C3×C4—242no—
418C2×C3×C4C2×C4×D312yes—
419C2×C3×C4#23512yes—
420C2×C3×C4C2×#6712yes—
421C2×C3×C4C2×#6712yes—
422C2×C3×C4C2×#6711yescharacteristic
423C2×C3×C4C22×C3×C412yes—
424C2×C3×C4C2×C3×D412yes—
425C2×C3×C4C2×C3×D412yes—
426C2×C3×C4C2×C3×D411yescharacteristic
427C2×C3×C4C3×#4112yes—
428C2×C3×C4C23×D311yescharacteristic
429C2×C3×C4C24×C311yescharacteristic
430C2×Dic3—21no—
431C2×Dic3—21no—
432D12—24no—
433D12—22no—
434D12C22×C3×C414yes—
435C4×D3—82no—
436C4×D3—82no—
437C3×C8—34no—
438C3×C8—61no—
439C3×C8—61no—
440C3⋊C8—21no—
441C3⋊C8—21no—
442C3⋊C8C22×C3×C414yes—
443C2×C32—22no—
444C2×C32—42no—
445C2×C32C2×C4×D411yescharacteristic
446C2×C32#57611yescharacteristic
447C2×C32#57711yescharacteristic
448C3×D3—44no—
449C24—61no—
450#41—22no—
451#41C3×C4×D314yescomplemented
452C2×Q8C22×C3×D311yescharacteristic
453C2×D4—21no—
454C2×D4—32no—
455C2×D4—34no—
456C2×D4—62no—
457C2×D4—61no—
458C2×D4C22×C3×D311yescharacteristic
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—62no—
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—21no—
473C4⋊C4—22no—
474C4⋊C4—31no—
475C4⋊C4—31no—
476C4⋊C4C3×#6711yescharacteristic
477C4⋊C4C3×#6711yescharacteristic
478C4⋊C4C22×C3×D312yes—
479C22⋊C4—22no—
480C22⋊C4—61no—
481C22⋊C4—62no—
482C22⋊C4—62no—
483C22⋊C4C3×#6712yes—
484C42—22no—
485C42—61no—
486C42C22×C3×D312yes—
487C22×C3—21no—
488C22×C3—21no—
489C22×C3—21no—
490C22×C3—21no—
491C22×C3—24no—
492C22×C3—22no—
493C22×C3—22no—
494C22×C3—22no—
495C22×C3—21no—
496C22×C3—41no—
497C22×C3—41no—
498C22×C3—42no—
499C22×C3—42no—
500C22×C3—41no—
501C22×C3—41no—
502C22×C3—41no—
503C22×C3—41no—
504C22×C3—64no—
505C22×C3—122no—
506C22×C3—122no—
507C22×C3—244no—
508C22×C3C4×#6712yes—
509C22×C3C3×C4×D412yes—
510C22×C3C22×#6711yescharacteristic
511C22×C3C22×C3×D411yescharacteristic
512C2×D3—24no—
513C2×D3—42no—
514C2×D3—42no—
515C2×D3—84no—
516C3×C4—24no—
517C3×C4—22no—
518C3×C4—22no—
519C3×C4—22no—
520C3×C4—22no—
521C3×C4—22no—
522C3×C4—22no—
523C3×C4—22no—
524C3×C4—21no—
525C3×C4—21no—
526C3×C4—42no—
527C3×C4—42no—
528C3×C4—44no—
529C3×C4—42no—
530C3×C4—42no—
531C3×C4—121no—
532C3×C4—121no—
533C3×C4C4×#6712yes—
534C3×C4C3×C4×D412yes—
535C3×C4C22×C4×D311yescharacteristic
536C3×C4C2×#23511yescharacteristic
537C3×C4C23×C3×C411yescharacteristic
538C3×C4C2×C3×#4111yescharacteristic
539Dic3—41no—
540Dic3—41no—
541C32#294611yescharacteristic, complemented, Sylow
542C23—21no—
543C23—62no—
544C23—64no—
545C23—241no—
546C23—241no—
547C23C2×C3×#6711yescharacteristic
548Q8—21no—
549Q8C2×C3×C4×D312yes—
550D4—24no—
551D4—21no—
552D4—34no—
553D4—64no—
554D4—62no—
555D4C2×C3×C4×D312yes—
556C2×C4—21no—
557C2×C4—24no—
558C2×C4—22no—
559C2×C4—61no—
560C2×C4—61no—
561C2×C4—82no—
562C2×C4—81no—
563C2×C4—242no—
564C2×C4—242no—
565C2×C4C2×C3×C4×D312yes—
566C2×C4C3×#23512yes—
567C2×C4C2×C3×#6712yes—
568C2×C4C2×C3×#6712yes—
569C2×C4C2×C3×#6711yescharacteristic
570C2×C4C23×C3×D311yescharacteristic
571C8—34no—
572C8—61no—
573C8—61no—
574C2×C3—22no—
575C2×C3—22no—
576C2×C3—21no—
577C2×C3—21no—
578C2×C3—21no—
579C2×C3—42no—
580C2×C3—44no—
581C2×C3—42no—
582C2×C3—42no—
583C2×C3—124no—
584C2×C3C2×C4×#6711yescharacteristic
585C2×C3#583511yescharacteristic
586C2×C3#583711yescharacteristic
587C2×C3C2×C3×C4×D411yescharacteristic
588C2×C3C3×#57611yescharacteristic
589C2×C3C3×#57711yescharacteristic
590D3—44no—
591C22—21no—
592C22—21no—
593C22—22no—
594C22—41no—
595C22—41no—
596C22—64no—
597C22—122no—
598C22—122no—
599C22—244no—
600C22C3×C4×#6712yes—
601C22C22×C3×#6711yescharacteristic
602C4—22no—
603C4—22no—
604C4—22no—
605C4—42no—
606C4—121no—
607C4—121no—
608C4C3×C4×#6712yes—
609C4C22×C3×C4×D311yescharacteristic
610C4C2×C3×#23511yescharacteristic
611C3—21no—
612C3#8256411yescharacteristic, direct product factor
613C3C3×#294611yescharacteristic, complemented
614C2—22no—
615C2—42no—
616C2—124no—
617C2C2×C3×C4×#6711yescharacteristic
618C2C3×#583511yescharacteristic
619C2C3×#583711yescharacteristic
subgroupG/H
centerC22×C3C22×#67
commutatorC3×C4C23×C3×C4
FrattiniC2×C4C23×C3×D3
FittingC32×#520C2
socleC22×C32C22×D4
prime radicalC2×C3×#949C2
cosocleC2×C3×C4C24×C3
hypercenterC3×#520D3
hypocenterC3C3×#2946
LCSG ▷ C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×#117 ◁ C3×#520

Complements

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

NH ≅ G/Ntype
1. C32×#520C2semidirect
3. C3×#5521C2semidirect
4. C3×#5233C2semidirect
5. C3×#5026C2semidirect
6. C3×C4×#215C2semidirect
7. C3×#5014C2semidirect
8. C3×C4×#213C2semidirect
9. C3×#4997C2semidirect
10. C2×C3×#809C2semidirect
11. C3×#4964C2semidirect
13. #82564C3direct (N × H)
16. C32×C4×Q8C22semidirect
18. C32×C4×D4C22semidirect
23. C3×#949C4semidirect
34. C3×#835C22semidirect
35. C3×#835C22semidirect
36. C3×#832C22semidirect
37. C3×#832C22semidirect
40. C3×#808C22semidirect
41. C3×#807C22semidirect
42. C3×#803C22semidirect
43. C3×C4×C3⋊C8C22semidirect
46. C3×#520D3semidirect
47. C3×#520C2×C3semidirect
50. #5521C2×C3semidirect
59. #5233C2×C3semidirect
60. #5026C2×C3semidirect
61. C4×#215C2×C3semidirect
62. #5014C2×C3semidirect
63. C4×#213C2×C3semidirect
64. #4997C2×C3semidirect
65. C2×#809C2×C3semidirect
66. #4964C2×C3semidirect
69. C32×#41C2×C4semidirect
79. C2×C3×D12C2×C4semidirect
93. C3×#215C2×C4semidirect
94. C3×#213C2×C4semidirect
100. C3×#208C2×C4semidirect
117. C3×C4×Q8C2×D3semidirect
118. C3×C4×Q8C22×C3semidirect
127. C3×C4×D4C2×D3semidirect
128. C3×C4×D4C22×C3semidirect
143. #949C3×C4semidirect
164. #835C22×C3semidirect
165. #835C22×C3semidirect
166. #832C22×C3semidirect
167. #832C22×C3semidirect
170. #808C22×C3semidirect
171. #807C22×C3semidirect
172. #803C22×C3semidirect
173. C4×C3⋊C8C22×C3semidirect
207. #520C3×D3semidirect
223. C3×#41C4×D3semidirect
224. C3×#41C2×C3×C4semidirect
254. C2×D12C2×C3×C4semidirect
299. #215C2×C3×C4semidirect
300. #213C2×C3×C4semidirect
306. #208C2×C3×C4semidirect
338. C4×Q8C2×C3×D3semidirect
344. C4×D4C2×C3×D3semidirect
451. #41C3×C4×D3semidirect
541. C32#2946semidirect
612. C3#82564direct (N × H)
613. C3C3×#2946semidirect

Maximal subgroups

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

subgroupindex
C32×#5202
C2×C3×#9492
C3×#55212
C3×#52332
C3×#50262
C3×C4×#2152
C3×#50142
C3×C4×#2132
C3×#49972
C2×C3×#8092
C3×#49642
C3×#29463
#825643