Finite Group Databasebeta

← C3×#82558 #11860923

Subgroups — C3×#82558 #11860923

Order 1152.

1115 conjugacy classes of subgroups.

The subgroup lattice has 625 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#520C211yesmaximal, characteristic, complemented
2C2×C3×#950C211yesmaximal, characteristic
3C3×#5523C211yesmaximal, characteristic, complemented
4C3×#5232C211yesmaximal, characteristic, complemented
5C3×#5030C212yesmaximal, complemented
6C3×C4×#215C212yesmaximal, complemented
7C3×C4×#214C212yesmaximal, complemented
8C3×#5014C212yesmaximal, complemented
9C3×#4997C211yesmaximal, characteristic, complemented
10C3×#4966C211yesmaximal, characteristic, complemented
11C2×C3×#808C211yesmaximal, characteristic, complemented
12C3×#2952—31nomaximal
13#82558C311yesmaximal, characteristic, direct product factor
14C2×C32×#41C2211yescharacteristic
15C2×C3×#235C2211yescharacteristic
16C32×C4×Q8C2212yes—
17C32×C4×D4—22no—
18C32×C4×D4C2212yes—
19C32×#117—21no—
20C32×#117C2211yescharacteristic
21C2×C32×C4⋊C4—21no—
22C2×C32×C4⋊C4C2211yescharacteristic
23C3×#950C418yescomplemented
24C2×C3×#216C2211yescharacteristic
25C2×C3×#215C2211yescharacteristic
26C2×C3×#214C2211yescharacteristic
27C2×C3×#213C2211yescharacteristic
28C2×C3×C4⋊Dic3C2211yescharacteristic
29C2×C3×#208C2211yescharacteristic
30C22×C3×C3⋊C8C2211yescharacteristic
31C3×#892—21no—
32C3×D3×C4⋊C4—21no—
33C3×#67⋊C4—22no—
34C3×C4×D12C2212yes—
35C3×C4×Dic6C2212yes—
36C3×#835C2212yes—
37C3×#832C2212yes—
38C3×#810C2212yes—
39C3×#809C2212yes—
40C3×#808C2212yes—
41C3×#808C2212yes—
42C3×#803C2212yes—
43C3×C4×C3⋊C8C2212yes—
44C2×C3×#135—31no—
45C3×#520—21no—
46C3×#520—31no—
47C3×#520D311yescharacteristic, complemented
48C3×#520C2×C311yescharacteristic, complemented
49C2×#950C2×C311yescharacteristic
50#5523C2×C311yescharacteristic, complemented
51C3×#442—32no—
52C3×#441—32no—
53C3×C4×SD16—32no—
54C3×C4×SD16—32no—
55C2×C3×#106—31no—
56C3×#417—31no—
57C3×#417—31no—
58C3×#405—31no—
59#5232C2×C311yescharacteristic, complemented
60#5030C2×C312yescomplemented
61C4×#215C2×C312yescomplemented
62C4×#214C2×C312yescomplemented
63#5014C2×C312yescomplemented
64#4997C2×C311yescharacteristic, complemented
65#4966C2×C311yescharacteristic, complemented
66C2×#808C2×C311yescharacteristic, complemented
67C32×#41—22no—
68C32×#41C2×C414yescomplemented
69C2×C32×Q8C2311yescharacteristic
70C2×C32×D4—21no—
71C2×C32×D4C2311yescharacteristic
72C22×C32×C4—21no—
73C22×C32×C4—21no—
74C22×C32×C4—22no—
75C22×C32×C4C2311yescharacteristic
76C2×C3×#67—21no—
77C22×C3×Dic3—21no—
78C3×#235—22no—
79C3×#235C2×C414yescomplemented
80C2×C3×D12C2311yescharacteristic
81C2×C3×C4×D3—21no—
82C2×C3×C4×D3—22no—
83C2×C3×Dic6C2311yescharacteristic
84C32×C4⋊C4—21no—
85C32×C4⋊C4—22no—
86C32×C4⋊C4D411yescharacteristic
87C32×C4⋊C4D411yescharacteristic
88C32×C4⋊C4C2312yes—
89C32×C22⋊C4—22no—
90C32×C22⋊C4D412yes—
91C32×C42—22no—
92C32×C42C2312yes—
93C3×#216C2×C414yescomplemented
94C3×#215C2×C414yescomplemented
95C3×#214C2×C414yescomplemented
96C3×#213C2×C414yescomplemented
97C3×(C2×D3)⋊C4—22no—
98C3×C4⋊Dic3—21no—
99C3×C4⋊Dic3C2312yes—
100C3×Dic3⋊C4—22no—
101C3×C4×Dic3—22no—
102C3×#208—22no—
103C2×C3×C3⋊C8C2×C414yescomplemented
104C2×C3×C3⋊C8C2312yes—
105C2×C3×C3⋊C8C2311yescharacteristic
106C2×C3×C3⋊C8C2311yescharacteristic
107#2952—31noSylow
108C2×C3×#41—21no—
109C2×C3×#41—31no—
110C2×C3×#41C2×D311yescharacteristic
111C2×C3×#41C22×C311yescharacteristic
112C2×#235C22×C311yescharacteristic
113C3×#135—38no—
114C2×C3×Q16—31no—
115C2×C3×SD16—31no—
116C2×C3×SD16—31no—
117C2×C3×D8—31no—
118C2×C3×M16—31no—
119C22×C3×C8—31no—
120C3×C4×Q8—22no—
121C3×C4×Q8—32no—
122C3×C4×Q8C2×D312yes—
123C3×C4×Q8C22×C312yes—
124C3×C4×D4—24no—
125C3×C4×D4—22no—
126C3×C4×D4—22no—
127C3×C4×D4—22no—
128C3×C4×D4—32no—
129C3×C4×D4—62no—
130C3×C4×D4C2×D312yes—
131C3×C4×D4C22×C312yes—
132C3×#117—22no—
133C3×#117—21no—
134C3×#117—21no—
135C3×#117—21no—
136C3×#117—61no—
137C3×#117C2×D311yescharacteristic
138C3×#117C22×C311yescharacteristic
139C2×C3×C4⋊C4—22no—
140C2×C3×C4⋊C4—21no—
141C2×C3×C4⋊C4—21no—
142C2×C3×C4⋊C4—21no—
143C2×C3×C4⋊C4—31no—
144C2×C3×C4⋊C4—61no—
145C2×C3×C4⋊C4C2×D311yescharacteristic
146C2×C3×C4⋊C4C22×C311yescharacteristic
147#950C3×C418yescomplemented
148C2×#216C22×C311yescharacteristic
149C2×#215C22×C311yescharacteristic
150C2×#214C22×C311yescharacteristic
151C2×#213C22×C311yescharacteristic
152C2×C4⋊Dic3C22×C311yescharacteristic
153C2×#208C22×C311yescharacteristic
154C22×C3⋊C8C22×C311yescharacteristic
155#892—21no—
156D3×C4⋊C4—21no—
157#67⋊C4—22no—
158C4×D12C22×C312yes—
159C4×Dic6C22×C312yes—
160C3×#106—32no—
161C3×#106—32no—
162C3×#103—32no—
163C3×#103—32no—
164C3×#102—32no—
165C3×#102—32no—
166C3×#97—32no—
167C3×C4×C8—32no—
168#835C22×C312yes—
169#832C22×C312yes—
170#810C22×C312yes—
171#809C22×C312yes—
172#808C22×C312yes—
173#808C22×C312yes—
174#803C22×C312yes—
175C4×C3⋊C8C22×C312yes—
176C23×C32—21no—
177C23×C32C2×D411yescharacteristic
178C22×C3×D3—21no—
179C32×Q8—21no—
180C32×Q8C22×C412yes—
181C32×D4—24no—
182C32×D4—21no—
183C32×D4C22×C412yes—
184C2×C32×C4—21no—
185C2×C32×C4—24no—
186C2×C32×C4—22no—
187C2×C32×C4—82no—
188C2×C32×C4—81no—
189C2×C32×C4C22×C412yes—
190C2×C32×C4C2×D412yes—
191C2×C32×C4C2×D412yes—
192C2×C32×C4C2×D411yescharacteristic
193C2×C32×C4#4112yes—
194C2×C32×C4C2411yescharacteristic
195C3×#67—24no—
196C2×C3×Dic3—21no—
197C2×C3×Dic3—22no—
198C2×C3×Dic3—81no—
199C3×D12—21no—
200C3×D12C22×C412yes—
201C3×C4×D3—24no—
202C3×C4×D3—82no—
203C3×Dic6—21no—
204C3×Dic6C22×C412yes—
205C3×C3⋊C8—22no—
206C3×C3⋊C8C22×C412yes—
207C3×C3⋊C8C22×C412yes—
208C2×#135—31no—
209#520—31no—
210#520C3×D311yescharacteristic, complemented
211#442—32no—
212#441—32no—
213C4×SD16—32no—
214C4×SD16—32no—
215C2×#106—31no—
216#417—31no—
217#417—31no—
218#405—31no—
219C3×#41—24no—
220C3×#41—22no—
221C3×#41—22no—
222C3×#41—24no—
223C3×#41—34no—
224C3×#41—62no—
225C3×#41C4×D314yescomplemented
226C3×#41C2×C3×C414yescomplemented
227C2×C3×Q8—21no—
228C2×C3×Q8—31no—
229C2×C3×Q8C22×D311yescharacteristic
230C2×C3×Q8C23×C311yescharacteristic
231C2×C3×D4—22no—
232C2×C3×D4—21no—
233C2×C3×D4—21no—
234C2×C3×D4—21no—
235C2×C3×D4—31no—
236C2×C3×D4—61no—
237C2×C3×D4C22×D311yescharacteristic
238C2×C3×D4C23×C311yescharacteristic
239C22×C3×C4—22no—
240C22×C3×C4—21no—
241C22×C3×C4—21no—
242C22×C3×C4—22no—
243C22×C3×C4—24no—
244C22×C3×C4—21no—
245C22×C3×C4—21no—
246C22×C3×C4—22no—
247C22×C3×C4—22no—
248C22×C3×C4—21no—
249C22×C3×C4—61no—
250C22×C3×C4—61no—
251C22×C3×C4—62no—
252C22×C3×C4C22×D311yescharacteristic
253C22×C3×C4C23×C311yescharacteristic
254C2×#67—21no—
255C22×Dic3—21no—
256#235—22no—
257#235C2×C3×C414yescomplemented
258C2×D12C23×C311yescharacteristic
259C2×C4×D3—21no—
260C2×C4×D3—22no—
261C2×Dic6C23×C311yescharacteristic
262C3×Q16—34no—
263C3×SD16—34no—
264C3×SD16—34no—
265C3×D8—34no—
266C3×M16—62no—
267C2×C3×C8—34no—
268C2×C3×C8—31no—
269C2×C3×C8—31no—
270C2×C3×C8—32no—
271C3×C4⋊C4—22no—
272C3×C4⋊C4—24no—
273C3×C4⋊C4—21no—
274C3×C4⋊C4—22no—
275C3×C4⋊C4—21no—
276C3×C4⋊C4—22no—
277C3×C4⋊C4—21no—
278C3×C4⋊C4—21no—
279C3×C4⋊C4—22no—
280C3×C4⋊C4—32no—
281C3×C4⋊C4—62no—
282C3×C4⋊C4—61no—
283C3×C4⋊C4#6711yescharacteristic
284C3×C4⋊C4#6711yescharacteristic
285C3×C4⋊C4C3×D411yescharacteristic
286C3×C4⋊C4C3×D411yescharacteristic
287C3×C4⋊C4C22×D312yes—
288C3×C4⋊C4C23×C312yes—
289C3×C22⋊C4—24no—
290C3×C22⋊C4—22no—
291C3×C22⋊C4—22no—
292C3×C22⋊C4—22no—
293C3×C22⋊C4—62no—
294C3×C22⋊C4#6712yes—
295C3×C22⋊C4C3×D412yes—
296C3×C42—24no—
297C3×C42—22no—
298C3×C42—22no—
299C3×C42—22no—
300C3×C42—62no—
301C3×C42C22×D312yes—
302C3×C42C23×C312yes—
303#216C2×C3×C414yescomplemented
304#215C2×C3×C414yescomplemented
305#214C2×C3×C414yescomplemented
306#213C2×C3×C414yescomplemented
307(C2×D3)⋊C4—22no—
308C4⋊Dic3—21no—
309C4⋊Dic3C23×C312yes—
310Dic3⋊C4—22no—
311C4×Dic3—22no—
312#208—22no—
313C2×C3⋊C8C2×C3×C414yescomplemented
314C2×C3⋊C8C23×C312yes—
315C2×C3⋊C8C23×C311yescharacteristic
316C2×C3⋊C8C23×C311yescharacteristic
317C22×C32—22no—
318C22×C32—21no—
319C22×C32—21no—
320C22×C32—41no—
321C22×C32—41no—
322C22×C32C4×D412yes—
323C22×C32C22×D411yescharacteristic
324C2×C3×D3—22no—
325C2×C3×D3—41no—
326C2×C3×D3—41no—
327C32×C4—22no—
328C32×C4—22no—
329C32×C4—22no—
330C32×C4—42no—
331C32×C4C4×D412yes—
332C32×C4C23×C411yescharacteristic
333C32×C4C2×#4111yescharacteristic
334C3×Dic3—22no—
335C3×Dic3—42no—
336C2×#41—31no—
337C2×#41C2×C3×D311yescharacteristic
338#135—38no—
339C2×Q16—31no—
340C2×SD16—31no—
341C2×SD16—31no—
342C2×D8—31no—
343C2×M16—31no—
344C22×C8—31no—
345C4×Q8—32no—
346C4×Q8C2×C3×D312yes—
347C4×D4—22no—
348C4×D4—32no—
349C4×D4—62no—
350C4×D4C2×C3×D312yes—
351#117—21no—
352#117—61no—
353#117C2×C3×D311yescharacteristic
354C2×C4⋊C4—21no—
355C2×C4⋊C4—31no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4C2×C3×D311yescharacteristic
358#106—32no—
359#106—32no—
360#103—32no—
361#103—32no—
362#102—32no—
363#102—32no—
364#97—32no—
365C4×C8—32no—
366C23×C3—22no—
367C23×C3—21no—
368C23×C3—21no—
369C23×C3—21no—
370C23×C3—61no—
371C23×C3C2×#6711yescharacteristic
372C23×C3C2×C3×D411yescharacteristic
373C22×D3—21no—
374C3×Q8—22no—
375C3×Q8—21no—
376C3×Q8—21no—
377C3×Q8—22no—
378C3×Q8—32no—
379C3×Q8—61no—
380C3×Q8C2×C4×D312yes—
381C3×Q8C22×C3×C412yes—
382C3×D4—28no—
383C3×D4—22no—
384C3×D4—24no—
385C3×D4—24no—
386C3×D4—21no—
387C3×D4—21no—
388C3×D4—22no—
389C3×D4—32no—
390C3×D4—64no—
391C3×D4—61no—
392C3×D4C2×C4×D312yes—
393C3×D4C22×C3×C412yes—
394C2×C3×C4—22no—
395C2×C3×C4—28no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—24no—
399C2×C3×C4—24no—
400C2×C3×C4—24no—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—21no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—21no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—61no—
410C2×C3×C4—64no—
411C2×C3×C4—62no—
412C2×C3×C4—82no—
413C2×C3×C4—82no—
414C2×C3×C4—81no—
415C2×C3×C4—81no—
416C2×C3×C4—84no—
417C2×C3×C4—82no—
418C2×C3×C4—242no—
419C2×C3×C4—241no—
420C2×C3×C4C2×C4×D312yes—
421C2×C3×C4#23512yes—
422C2×C3×C4C2×#6712yes—
423C2×C3×C4C2×#6712yes—
424C2×C3×C4C2×#6711yescharacteristic
425C2×C3×C4C22×C3×C412yes—
426C2×C3×C4C2×C3×D412yes—
427C2×C3×C4C2×C3×D412yes—
428C2×C3×C4C2×C3×D411yescharacteristic
429C2×C3×C4C3×#4112yes—
430C2×C3×C4C23×D311yescharacteristic
431C2×C3×C4C24×C311yescharacteristic
432#67—24no—
433C2×Dic3—21no—
434C2×Dic3—22no—
435C2×Dic3—81no—
436D12—21no—
437D12C22×C3×C412yes—
438C4×D3—24no—
439C4×D3—82no—
440Dic6—21no—
441Dic6C22×C3×C412yes—
442C3×C8—32no—
443C3×C8—32no—
444C3×C8—62no—
445C3⋊C8—22no—
446C3⋊C8C22×C3×C412yes—
447C3⋊C8C22×C3×C412yes—
448C2×C32—22no—
449C2×C32—42no—
450C2×C32C2×C4×D411yescharacteristic
451C2×C32#57711yescharacteristic
452C2×C32#57711yescharacteristic
453C3×D3—42no—
454#41—22no—
455#41—34no—
456#41—62no—
457#41C3×C4×D314yescomplemented
458C2×Q8—31no—
459C2×Q8C22×C3×D311yescharacteristic
460C2×D4—21no—
461C2×D4—31no—
462C2×D4—61no—
463C2×D4C22×C3×D311yescharacteristic
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—22no—
467C22×C4—61no—
468C22×C4—61no—
469C22×C4—62no—
470C22×C4C22×C3×D311yescharacteristic
471Q16—34no—
472SD16—34no—
473SD16—34no—
474D8—34no—
475M16—62no—
476C2×C8—31no—
477C2×C8—31no—
478C2×C8—34no—
479C2×C8—32no—
480C4⋊C4—21no—
481C4⋊C4—22no—
482C4⋊C4—32no—
483C4⋊C4—61no—
484C4⋊C4—62no—
485C4⋊C4C3×#6711yescharacteristic
486C4⋊C4C3×#6711yescharacteristic
487C4⋊C4C22×C3×D312yes—
488C22⋊C4—22no—
489C22⋊C4—62no—
490C22⋊C4C3×#6712yes—
491C42—22no—
492C42—62no—
493C42C22×C3×D312yes—
494C22×C3—21no—
495C22×C3—21no—
496C22×C3—21no—
497C22×C3—21no—
498C22×C3—24no—
499C22×C3—22no—
500C22×C3—22no—
501C22×C3—22no—
502C22×C3—21no—
503C22×C3—41no—
504C22×C3—41no—
505C22×C3—42no—
506C22×C3—42no—
507C22×C3—41no—
508C22×C3—41no—
509C22×C3—41no—
510C22×C3—41no—
511C22×C3—62no—
512C22×C3—121no—
513C22×C3—121no—
514C22×C3C4×#6712yes—
515C22×C3C3×C4×D412yes—
516C22×C3C22×#6711yescharacteristic
517C22×C3C22×C3×D411yescharacteristic
518C2×D3—22no—
519C2×D3—41no—
520C2×D3—41no—
521C3×C4—24no—
522C3×C4—22no—
523C3×C4—22no—
524C3×C4—22no—
525C3×C4—22no—
526C3×C4—22no—
527C3×C4—22no—
528C3×C4—22no—
529C3×C4—21no—
530C3×C4—21no—
531C3×C4—42no—
532C3×C4—42no—
533C3×C4—44no—
534C3×C4—42no—
535C3×C4—42no—
536C3×C4—62no—
537C3×C4—122no—
538C3×C4C4×#6712yes—
539C3×C4C3×C4×D412yes—
540C3×C4C22×C4×D311yescharacteristic
541C3×C4C2×#23511yescharacteristic
542C3×C4C23×C3×C411yescharacteristic
543C3×C4C2×C3×#4111yescharacteristic
544Dic3—22no—
545Dic3—42no—
546C32#295211yescharacteristic, complemented, Sylow
547C23—21no—
548C23—61no—
549C23C2×C3×#6711yescharacteristic
550Q8—21no—
551Q8—32no—
552Q8—61no—
553Q8C2×C3×C4×D312yes—
554D4—24no—
555D4—21no—
556D4—32no—
557D4—64no—
558D4—61no—
559D4C2×C3×C4×D312yes—
560C2×C4—21no—
561C2×C4—24no—
562C2×C4—22no—
563C2×C4—61no—
564C2×C4—64no—
565C2×C4—62no—
566C2×C4—82no—
567C2×C4—81no—
568C2×C4—242no—
569C2×C4—241no—
570C2×C4C2×C3×C4×D312yes—
571C2×C4C3×#23512yes—
572C2×C4C2×C3×#6712yes—
573C2×C4C2×C3×#6712yes—
574C2×C4C2×C3×#6711yescharacteristic
575C2×C4C23×C3×D311yescharacteristic
576C8—32no—
577C8—32no—
578C8—62no—
579C2×C3—22no—
580C2×C3—22no—
581C2×C3—21no—
582C2×C3—21no—
583C2×C3—21no—
584C2×C3—42no—
585C2×C3—44no—
586C2×C3—42no—
587C2×C3—42no—
588C2×C3—122no—
589C2×C3C2×C4×#6711yescharacteristic
590C2×C3#583611yescharacteristic
591C2×C3#583711yescharacteristic
592C2×C3C2×C3×C4×D411yescharacteristic
593C2×C3C3×#57711yescharacteristic
594C2×C3C3×#57711yescharacteristic
595D3—42no—
596C22—21no—
597C22—21no—
598C22—22no—
599C22—41no—
600C22—41no—
601C22—62no—
602C22—121no—
603C22—121no—
604C22C3×C4×#6712yes—
605C22C22×C3×#6711yescharacteristic
606C4—22no—
607C4—22no—
608C4—22no—
609C4—42no—
610C4—62no—
611C4—122no—
612C4C3×C4×#6712yes—
613C4C22×C3×C4×D311yescharacteristic
614C4C2×C3×#23511yescharacteristic
615C3—21no—
616C3#8255811yescharacteristic, direct product factor
617C3C3×#295211yescharacteristic, complemented
618C2—22no—
619C2—42no—
620C2—122no—
621C2C2×C3×C4×#6711yescharacteristic
622C2C3×#583611yescharacteristic
623C2C3×#583711yescharacteristic
subgroupG/H
centerC22×C3C22×#67
commutatorC3×C4C23×C3×C4
FrattiniC2×C4C23×C3×D3
FittingC32×#520C2
socleC22×C32C22×D4
prime radicalC2×C3×#950C2
cosocleC2×C3×C4C24×C3
hypercenterC3×#520D3
hypocenterC3C3×#2952
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×#5523C2semidirect
4. C3×#5232C2semidirect
5. C3×#5030C2semidirect
6. C3×C4×#215C2semidirect
7. C3×C4×#214C2semidirect
8. C3×#5014C2semidirect
9. C3×#4997C2semidirect
10. C3×#4966C2semidirect
11. C2×C3×#808C2semidirect
13. #82558C3direct (N × H)
23. C3×#950C4semidirect
47. C3×#520D3semidirect
48. C3×#520C2×C3semidirect
50. #5523C2×C3semidirect
59. #5232C2×C3semidirect
60. #5030C2×C3semidirect
61. C4×#215C2×C3semidirect
62. C4×#214C2×C3semidirect
63. #5014C2×C3semidirect
64. #4997C2×C3semidirect
65. #4966C2×C3semidirect
66. C2×#808C2×C3semidirect
68. C32×#41C2×C4semidirect
79. C3×#235C2×C4semidirect
93. C3×#216C2×C4semidirect
94. C3×#215C2×C4semidirect
95. C3×#214C2×C4semidirect
96. C3×#213C2×C4semidirect
103. C2×C3×C3⋊C8C2×C4semidirect
147. #950C3×C4semidirect
210. #520C3×D3semidirect
225. C3×#41C4×D3semidirect
226. C3×#41C2×C3×C4semidirect
257. #235C2×C3×C4semidirect
303. #216C2×C3×C4semidirect
304. #215C2×C3×C4semidirect
305. #214C2×C3×C4semidirect
306. #213C2×C3×C4semidirect
313. C2×C3⋊C8C2×C3×C4semidirect
457. #41C3×C4×D3semidirect
546. C32#2952semidirect
616. C3#82558direct (N × H)
617. C3C3×#2952semidirect

Maximal subgroups

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

subgroupindex
C32×#5202
C2×C3×#9502
C3×#55232
C3×#52322
C3×#50302
C3×C4×#2152
C3×C4×#2142
C3×#50142
C3×#49972
C3×#49662
C2×C3×#8082
C3×#29523
#825583