Finite Group Databasebeta

← C3×#81268 #11870409

Subgroups — C3×#81268 #11870409

Order 1152.

1041 conjugacy classes of subgroups.

The subgroup lattice has 643 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5596C211yesmaximal, characteristic, complemented
2C2×C3×#893C211yesmaximal, characteristic, complemented
3C32×#480C211yesmaximal, characteristic, complemented
4C3×#5036C211yesmaximal, characteristic, complemented
5C3×#4967C211yesmaximal, characteristic, complemented
6C3×#4890C212yesmaximal, complemented
7C3×#4872C212yesmaximal, complemented
8C3×#4786C212yesmaximal, complemented
9C3×#4756C212yesmaximal, complemented
10C3×#4732C211yesmaximal, characteristic, complemented
11C3×#4718C211yesmaximal, characteristic, complemented
12C3×#3100—31nomaximal
13#81268C311yesmaximal, characteristic, direct product factor
14C2×C3×#237—21no—
15C22×C3×D12C2211yescharacteristic
16C22×C3×C4×D3—21no—
17C32×#121C2211yescharacteristic
18C2×C32×C4⋊C4C2211yescharacteristic
19C3×#940C2211yescharacteristic, complemented
20C3×#939—21no—
21C3×D4×Dic3C2211yescharacteristic, complemented
22C2×C3×#213C2212yes—
23C3×#930C2211yescharacteristic
24C2×C3×(C2×D3)⋊C4—21no—
25C2×C3×C4×Dic3C2211yescharacteristic
26C2×C3×D24C2212yes—
27C3×#893—21no—
28C3×#893—21no—
29C3×#893C2212yes—
30C3×#893C2212yes—
31C3×#893C2211yescharacteristic, complemented
32C3×#888C2211yescharacteristic, complemented
33C3×#885—21no—
34C3×#67⋊C4—21no—
35C32×#107C2212yescomplemented
36C32×#102C2212yescomplemented
37C32×C22⋊C8C2211yescharacteristic
38C3×#830C2211yescharacteristic
39C3×#821C2212yes—
40C3×Dic3⋊C8C2212yescomplemented
41C3×C8×Dic3C2212yescomplemented
42C3×#809C2212yes—
43C3×#809C2212yescomplemented
44C3×#807C2212yescomplemented
45C3×#532—31no—
46C2×C3×C4×D4—31no—
47#5596C2×C311yescharacteristic, complemented
48C2×#893C2×C311yescharacteristic, complemented
49C3×#480—21no—
50C3×#480—31no—
51C3×#480D311yescharacteristic, complemented
52C3×#480C2×C311yescharacteristic, complemented
53C3×#474—32no—
54C3×#459—32no—
55C3×#447—31no—
56C3×#447—31no—
57C3×C4×D8—32no—
58C3×C4×D8—32no—
59C3×#431—31no—
60#5036C2×C311yescharacteristic, complemented
61#4967C2×C311yescharacteristic, complemented
62#4890C2×C312yescomplemented
63#4872C2×C312yescomplemented
64#4786C2×C312yescomplemented
65#4756C2×C312yescomplemented
66#4732C2×C311yescharacteristic, complemented
67#4718C2×C311yescharacteristic, complemented
68C23×C3×D3—21no—
69C2×C32×D4—21no—
70C2×C32×D4C2311yescharacteristic
71C22×C32×C4—21no—
72C22×C32×C4C2311yescharacteristic
73C2×C3×#67—21no—
74C2×C3×#67—21no—
75C2×C3×#67—21no—
76C22×C3×Dic3—21no—
77C22×C3×Dic3D411yescharacteristic
78C22×C3×Dic3D411yescharacteristic
79C3×#237—44no—
80C2×C3×D12—21no—
81C2×C3×D12—24no—
82C2×C3×D12C2311yescharacteristic
83C2×C3×D12C2312yes—
84C2×C3×C4×D3—21no—
85C2×C3×C4×D3—22no—
86C2×C3×C4×D3—22no—
87C2×C3×C4×D3—44no—
88C2×C3×Dic6—21no—
89C2×C32×C8C2312yes—
90C32×C4⋊C4—21no—
91C32×C4⋊C4C2311yescharacteristic
92C32×C4⋊C4C2312yes—
93C32×C22⋊C4—21no—
94C3×#217—21no—
95C3×#213—24no—
96C3×(C2×D3)⋊C4—21no—
97C3×(C2×D3)⋊C4—21no—
98C3×(C2×D3)⋊C4—22no—
99C3×(C2×D3)⋊C4—22no—
100C3×C4⋊Dic3C2311yescharacteristic
101C3×Dic3⋊C4—21no—
102C3×C4×Dic3D411yescharacteristic
103C3×C4×Dic3D411yescharacteristic
104C3×C4×Dic3C2311yescharacteristic
105C3×C4×Dic3C2311yescharacteristic
106C2×C3×C3⋊C8C2312yes—
107C3×D24—24no—
108#3100—31noSylow
109C2×C3×#41—61no—
110C22×C3×D4—31no—
111C23×C3×C4—61no—
112C2×#237—21no—
113C22×D12C22×C311yescharacteristic
114C22×C4×D3—21no—
115C2×C3×D8—32no—
116C2×C3×D8—32no—
117C3×C4⋊Q8—31no—
118C3×#127—31no—
119C3×#124—61no—
120C3×#121—21no—
121C3×#121—31no—
122C3×#121—61no—
123C3×#121C2×D311yescharacteristic
124C3×#121C22×C311yescharacteristic
125C3×C4×D4—31no—
126C3×C4×D4—32no—
127C3×C4×D4—32no—
128C3×C4×D4—31no—
129C3×C4×D4—61no—
130C3×C4×D4—61no—
131C3×C4×D4—61no—
132C2×C3×C4⋊C4—21no—
133C2×C3×C4⋊C4C2×D311yescharacteristic
134C2×C3×C4⋊C4C22×C311yescharacteristic
135C2×C3×C22⋊C4—61no—
136C2×C3×C42—31no—
137#940C22×C311yescharacteristic, complemented
138#939—21no—
139D4×Dic3C22×C311yescharacteristic, complemented
140C2×#213C22×C312yes—
141#930C22×C311yescharacteristic
142C2×(C2×D3)⋊C4—21no—
143C2×C4×Dic3C22×C311yescharacteristic
144C2×D24C22×C312yes—
145#893—21no—
146#893—21no—
147#893C22×C312yes—
148#893C22×C312yes—
149#893C22×C311yescharacteristic, complemented
150#888C22×C311yescharacteristic, complemented
151#885—21no—
152#67⋊C4—21no—
153C3×#107—22no—
154C3×#107—32no—
155C3×#107C2×D312yescomplemented
156C3×#107C22×C312yescomplemented
157C3×C4⋊C8—32no—
158C3×#102—22no—
159C3×#102—32no—
160C3×#102—32no—
161C3×#102—32no—
162C3×#102C2×D312yescomplemented
163C3×#102C22×C312yescomplemented
164C3×C22⋊C8—21no—
165C3×C22⋊C8—31no—
166C3×C22⋊C8C2×D311yescharacteristic
167C3×C22⋊C8C22×C311yescharacteristic
168C3×C4×C8—32no—
169#830C22×C311yescharacteristic
170#821C22×C312yes—
171Dic3⋊C8C22×C312yescomplemented
172C8×Dic3C22×C312yescomplemented
173#809C22×C312yes—
174#809C22×C312yescomplemented
175#807C22×C312yescomplemented
176C23×C32—21no—
177C23×C32C2×D411yescharacteristic
178C22×C3×D3—24no—
179C22×C3×D3—22no—
180C22×C3×D3—21no—
181C22×C3×D3—42no—
182C22×C3×D3—42no—
183C32×D4—22no—
184C32×D4—42no—
185C2×C32×C4—22no—
186C2×C32×C4—21no—
187C2×C32×C4—22no—
188C2×C32×C4—42no—
189C2×C32×C4C2×D411yescharacteristic
190C2×C32×C4C2411yescharacteristic
191C3×#67—42no—
192C3×#67—42no—
193C3×#67—42no—
194C2×C3×Dic3—21no—
195C2×C3×Dic3—41no—
196C2×C3×Dic3—42no—
197C2×C3×Dic3D814yescomplemented
198C2×C3×Dic3C2×D411yescharacteristic
199C2×C3×Dic3C2×D411yescharacteristic
200C2×C3×Dic3C2×D411yescharacteristic
201C2×C3×Dic3C2×D411yescharacteristic
202C3×D12—24no—
203C3×D12—22no—
204C3×D12—22no—
205C3×D12#4114yescomplemented
206C3×C4×D3—44no—
207C3×C4×D3—44no—
208C3×C4×D3—42no—
209C3×Dic6—42no—
210C32×C8—22no—
211C3×C3⋊C8—22no—
212#532—31no—
213C2×C4×D4—31no—
214#480—31no—
215#480C3×D311yescharacteristic, complemented
216#474—32no—
217#459—32no—
218#447—31no—
219#447—31no—
220C4×D8—32no—
221C4×D8—32no—
222#431—31no—
223C24×C3—61no—
224C23×D3—21no—
225C3×#41—124no—
226C2×C3×Q8—61no—
227C2×C3×D4—21no—
228C2×C3×D4—21no—
229C2×C3×D4—21no—
230C2×C3×D4—32no—
231C2×C3×D4—31no—
232C2×C3×D4—41no—
233C2×C3×D4—64no—
234C2×C3×D4—61no—
235C2×C3×D4—61no—
236C2×C3×D4—61no—
237C2×C3×D4—61no—
238C2×C3×D4C22×D311yescharacteristic
239C2×C3×D4C23×C311yescharacteristic
240C22×C3×C4—21no—
241C22×C3×C4—21no—
242C22×C3×C4—21no—
243C22×C3×C4—31no—
244C22×C3×C4—31no—
245C22×C3×C4—41no—
246C22×C3×C4—62no—
247C22×C3×C4—62no—
248C22×C3×C4—61no—
249C22×C3×C4—61no—
250C22×C3×C4—124no—
251C22×C3×C4C22×D311yescharacteristic
252C22×C3×C4C23×C311yescharacteristic
253C2×#67—21no—
254C2×#67—21no—
255C2×#67—21no—
256C22×Dic3—21no—
257C22×Dic3C3×D411yescharacteristic
258C22×Dic3C3×D411yescharacteristic
259#237—44no—
260C2×D12—21no—
261C2×D12—24no—
262C2×D12C23×C311yescharacteristic
263C2×D12C23×C312yes—
264C2×C4×D3—21no—
265C2×C4×D3—22no—
266C2×C4×D3—22no—
267C2×C4×D3—44no—
268C2×Dic6—21no—
269C3×D8—64no—
270C3×D8—64no—
271C2×C3×C8—22no—
272C2×C3×C8—32no—
273C2×C3×C8C22×D312yes—
274C2×C3×C8C23×C312yes—
275C3×C4⋊C4—21no—
276C3×C4⋊C4—21no—
277C3×C4⋊C4—22no—
278C3×C4⋊C4—21no—
279C3×C4⋊C4—31no—
280C3×C4⋊C4—41no—
281C3×C4⋊C4—61no—
282C3×C4⋊C4C22×D311yescharacteristic
283C3×C4⋊C4C22×D312yes—
284C3×C4⋊C4C23×C312yes—
285C3×C4⋊C4C23×C311yescharacteristic
286C3×C22⋊C4—21no—
287C3×C22⋊C4—21no—
288C3×C22⋊C4—41no—
289C3×C22⋊C4—62no—
290C3×C22⋊C4—62no—
291C3×C22⋊C4—61no—
292C3×C22⋊C4—61no—
293C3×C22⋊C4—61no—
294C3×C42—31no—
295C3×C42—31no—
296C3×C42—31no—
297C3×C42—31no—
298#217—21no—
299#213—24no—
300(C2×D3)⋊C4—21no—
301(C2×D3)⋊C4—21no—
302(C2×D3)⋊C4—22no—
303(C2×D3)⋊C4—22no—
304C4⋊Dic3C23×C311yescharacteristic
305Dic3⋊C4—21no—
306C4×Dic3C3×D411yescharacteristic
307C4×Dic3C3×D411yescharacteristic
308C4×Dic3C23×C311yescharacteristic
309C4×Dic3C23×C311yescharacteristic
310C2×C3⋊C8C23×C312yes—
311D24—24no—
312C22×C32—21no—
313C22×C32—21no—
314C22×C32—41no—
315C22×C32—41no—
316C22×C32—41no—
317C22×C32C2×D812yes—
318C22×C32C22×D411yescharacteristic
319C2×C3×D3—24no—
320C2×C3×D3—48no—
321C2×C3×D3—42no—
322C2×C3×D3—42no—
323C2×C3×D3—41no—
324C2×C3×D3—41no—
325C2×C3×D3—41no—
326C32×C4—21no—
327C32×C4—41no—
328C32×C4—42no—
329C32×C4C2×#4112yes—
330C3×Dic3—21no—
331C3×Dic3—21no—
332C3×Dic3—41no—
333C3×Dic3C2×D812yes—
334C3×Dic3C2×D812yes—
335C2×#41—61no—
336C22×D4—31no—
337C23×C4—61no—
338C2×D8—32no—
339C2×D8—32no—
340C4⋊Q8—31no—
341#127—31no—
342#124—61no—
343#121—31no—
344#121—61no—
345#121C2×C3×D311yescharacteristic
346C4×D4—31no—
347C4×D4—32no—
348C4×D4—32no—
349C4×D4—31no—
350C4×D4—61no—
351C4×D4—61no—
352C4×D4—61no—
353C2×C4⋊C4C2×C3×D311yescharacteristic
354C2×C22⋊C4—61no—
355C2×C42—31no—
356#107—32no—
357#107C2×C3×D312yescomplemented
358C4⋊C8—32no—
359#102—32no—
360#102—32no—
361#102—32no—
362#102C2×C3×D312yescomplemented
363C22⋊C8—31no—
364C22⋊C8C2×C3×D311yescharacteristic
365C4×C8—32no—
366C23×C3—21no—
367C23×C3—21no—
368C23×C3—21no—
369C23×C3—41no—
370C23×C3—64no—
371C23×C3—62no—
372C23×C3—61no—
373C23×C3—122no—
374C23×C3—122no—
375C23×C3D3×D411yescharacteristic
376C23×C3C2×C3×D411yescharacteristic
377C22×D3—24no—
378C22×D3—22no—
379C22×D3—21no—
380C22×D3—42no—
381C22×D3—42no—
382C3×Q8—122no—
383C3×D4—22no—
384C3×D4—22no—
385C3×D4—34no—
386C3×D4—42no—
387C3×D4—42no—
388C3×D4—42no—
389C3×D4—64no—
390C3×D4—62no—
391C3×D4—62no—
392C3×D4—82no—
393C3×D4—122no—
394C3×D4—122no—
395C3×D4—122no—
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—21no—
399C2×C3×C4—22no—
400C2×C3×C4—21no—
401C2×C3×C4—22no—
402C2×C3×C4—21no—
403C2×C3×C4—21no—
404C2×C3×C4—34no—
405C2×C3×C4—31no—
406C2×C3×C4—31no—
407C2×C3×C4—31no—
408C2×C3×C4—31no—
409C2×C3×C4—42no—
410C2×C3×C4—41no—
411C2×C3×C4—42no—
412C2×C3×C4—42no—
413C2×C3×C4—42no—
414C2×C3×C4—61no—
415C2×C3×C4—82no—
416C2×C3×C4—124no—
417C2×C3×C4—124no—
418C2×C3×C4—122no—
419C2×C3×C4—122no—
420C2×C3×C4—121no—
421C2×C3×C4D3×D411yescharacteristic
422C2×C3×C4C2×C3×D411yescharacteristic
423C2×C3×C4C23×D311yescharacteristic
424C2×C3×C4C24×C311yescharacteristic
425#67—42no—
426#67—42no—
427#67—42no—
428C2×Dic3—21no—
429C2×Dic3—41no—
430C2×Dic3—42no—
431C2×Dic3C3×D814yescomplemented
432C2×Dic3C2×C3×D411yescharacteristic
433C2×Dic3C2×C3×D411yescharacteristic
434C2×Dic3C2×C3×D411yescharacteristic
435C2×Dic3C2×C3×D411yescharacteristic
436D12—24no—
437D12—22no—
438D12—22no—
439D12C3×#4114yescomplemented
440C4×D3—44no—
441C4×D3—44no—
442C4×D3—42no—
443Dic6—42no—
444C3×C8—22no—
445C3×C8—22no—
446C3×C8—42no—
447C3×C8—62no—
448C3⋊C8—22no—
449C2×C32—22no—
450C2×C32—81no—
451C2×C32#52511yescharacteristic
452C2×C32C22×D811yescharacteristic
453C2×C32#57511yescharacteristic
454C3×D3—44no—
455C3×D3—81no—
456C24—61no—
457#41—124no—
458C2×Q8—61no—
459C2×D4—21no—
460C2×D4—32no—
461C2×D4—31no—
462C2×D4—64no—
463C2×D4—61no—
464C2×D4—61no—
465C2×D4—61no—
466C2×D4—61no—
467C2×D4C22×C3×D311yescharacteristic
468C22×C4—21no—
469C22×C4—31no—
470C22×C4—31no—
471C22×C4—62no—
472C22×C4—62no—
473C22×C4—61no—
474C22×C4—61no—
475C22×C4—124no—
476C22×C4C22×C3×D311yescharacteristic
477D8—64no—
478D8—64no—
479C2×C8—32no—
480C2×C8C22×C3×D312yes—
481C4⋊C4—21no—
482C4⋊C4—31no—
483C4⋊C4—61no—
484C4⋊C4C22×C3×D311yescharacteristic
485C4⋊C4C22×C3×D312yes—
486C22⋊C4—21no—
487C22⋊C4—62no—
488C22⋊C4—62no—
489C22⋊C4—61no—
490C22⋊C4—61no—
491C22⋊C4—61no—
492C42—31no—
493C42—31no—
494C42—31no—
495C42—31no—
496C22×C3—21no—
497C22×C3—21no—
498C22×C3—21no—
499C22×C3—21no—
500C22×C3—22no—
501C22×C3—21no—
502C22×C3—41no—
503C22×C3—41no—
504C22×C3—41no—
505C22×C3—41no—
506C22×C3—41no—
507C22×C3—41no—
508C22×C3—41no—
509C22×C3—41no—
510C22×C3—64no—
511C22×C3—81no—
512C22×C3—81no—
513C22×C3—81no—
514C22×C3—128no—
515C22×C3—122no—
516C22×C3—122no—
517C22×C3—121no—
518C22×C3—121no—
519C22×C3—121no—
520C22×C3D3×D812yes—
521C22×C3C2×C3×D812yes—
522C22×C3C2×D3×D411yescharacteristic
523C22×C3C22×C3×D411yescharacteristic
524C2×D3—24no—
525C2×D3—48no—
526C2×D3—42no—
527C2×D3—42no—
528C2×D3—41no—
529C2×D3—41no—
530C2×D3—41no—
531C3×C4—21no—
532C3×C4—21no—
533C3×C4—22no—
534C3×C4—32no—
535C3×C4—32no—
536C3×C4—41no—
537C3×C4—41no—
538C3×C4—42no—
539C3×C4—42no—
540C3×C4—41no—
541C3×C4—61no—
542C3×C4—61no—
543C3×C4—82no—
544C3×C4—81no—
545C3×C4—121no—
546C3×C4D3×#4112yes—
547C3×C4C2×C3×#4112yes—
548Dic3—21no—
549Dic3—21no—
550Dic3—41no—
551Dic3C2×C3×D812yes—
552Dic3C2×C3×D812yes—
553C32#310011yescharacteristic, complemented, Sylow
554C23—21no—
555C23—64no—
556C23—62no—
557C23—61no—
558C23—122no—
559C23—122no—
560C23C3×D3×D411yescharacteristic
561Q8—122no—
562D4—22no—
563D4—34no—
564D4—42no—
565D4—64no—
566D4—62no—
567D4—62no—
568D4—122no—
569D4—122no—
570D4—122no—
571C2×C4—22no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—34no—
575C2×C4—31no—
576C2×C4—31no—
577C2×C4—31no—
578C2×C4—31no—
579C2×C4—42no—
580C2×C4—61no—
581C2×C4—124no—
582C2×C4—124no—
583C2×C4—122no—
584C2×C4—122no—
585C2×C4—121no—
586C2×C4C3×D3×D411yescharacteristic
587C2×C4C23×C3×D311yescharacteristic
588C8—22no—
589C8—62no—
590C2×C3—22no—
591C2×C3—22no—
592C2×C3—21no—
593C2×C3—21no—
594C2×C3—21no—
595C2×C3—42no—
596C2×C3—81no—
597C2×C3—81no—
598C2×C3—124no—
599C2×C3—161no—
600C2×C3—241no—
601C2×C3#565611yescharacteristic
602C2×C3C2×D3×D811yescharacteristic
603C2×C3#577711yescharacteristic
604C2×C3C3×#52511yescharacteristic
605C2×C3C22×C3×D811yescharacteristic
606C2×C3C3×#57511yescharacteristic
607D3—44no—
608D3—81no—
609C22—21no—
610C22—21no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—64no—
615C22—128no—
616C22—122no—
617C22—122no—
618C22—121no—
619C22—121no—
620C22—121no—
621C22C3×D3×D812yes—
622C22C2×C3×D3×D411yescharacteristic
623C4—21no—
624C4—32no—
625C4—32no—
626C4—42no—
627C4—41no—
628C4—61no—
629C4—61no—
630C4—121no—
631C4C3×D3×#4112yes—
632C3—21no—
633C3#8126811yescharacteristic, direct product factor
634C3C3×#310011yescharacteristic, complemented
635C2—22no—
636C2—81no—
637C2—124no—
638C2—241no—
639C2C3×#565611yescharacteristic
640C2C2×C3×D3×D811yescharacteristic
641C2C3×#577711yescharacteristic
subgroupG/H
centerC22×C3C2×D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#480C2
socleC22×C32C22×D4
hypercenterC3×#480D3
hypocenterC3C3×#3100
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C3×#480

Complements

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

NH ≅ G/Ntype
1. C3×#5596C2semidirect
2. C2×C3×#893C2semidirect
3. C32×#480C2semidirect
4. C3×#5036C2semidirect
5. C3×#4967C2semidirect
6. C3×#4890C2semidirect
7. C3×#4872C2semidirect
8. C3×#4786C2semidirect
9. C3×#4756C2semidirect
10. C3×#4732C2semidirect
11. C3×#4718C2semidirect
13. #81268C3direct (N × H)
19. C3×#940C22semidirect
21. C3×D4×Dic3C22semidirect
31. C3×#893C22semidirect
32. C3×#888C22semidirect
35. C32×#107C22semidirect
36. C32×#102C22semidirect
40. C3×Dic3⋊C8C22semidirect
41. C3×C8×Dic3C22semidirect
43. C3×#809C22semidirect
44. C3×#807C22semidirect
47. #5596C2×C3semidirect
48. C2×#893C2×C3semidirect
51. C3×#480D3semidirect
52. C3×#480C2×C3semidirect
60. #5036C2×C3semidirect
61. #4967C2×C3semidirect
62. #4890C2×C3semidirect
63. #4872C2×C3semidirect
64. #4786C2×C3semidirect
65. #4756C2×C3semidirect
66. #4732C2×C3semidirect
67. #4718C2×C3semidirect
137. #940C22×C3semidirect
139. D4×Dic3C22×C3semidirect
149. #893C22×C3semidirect
150. #888C22×C3semidirect
155. C3×#107C2×D3semidirect
156. C3×#107C22×C3semidirect
162. C3×#102C2×D3semidirect
163. C3×#102C22×C3semidirect
171. Dic3⋊C8C22×C3semidirect
172. C8×Dic3C22×C3semidirect
174. #809C22×C3semidirect
175. #807C22×C3semidirect
197. C2×C3×Dic3D8semidirect
205. C3×D12#41semidirect
215. #480C3×D3semidirect
357. #107C2×C3×D3semidirect
362. #102C2×C3×D3semidirect
431. C2×Dic3C3×D8semidirect
439. D12C3×#41semidirect
553. C32#3100semidirect
633. C3#81268direct (N × H)
634. C3C3×#3100semidirect

Maximal subgroups

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

subgroupindex
C3×#55962
C2×C3×#8932
C32×#4802
C3×#50362
C3×#49672
C3×#48902
C3×#48722
C3×#47862
C3×#47562
C3×#47322
C3×#47182
C3×#31003
#812683