Finite Group Databasebeta

← C3×#80410 #11871324

Subgroups — C3×#80410 #11871324

Order 1152.

948 conjugacy classes of subgroups.

The subgroup lattice has 631 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5728C211yesmaximal, characteristic, complemented
2C3×C4×D3×D4C211yesmaximal, characteristic
3C32×#461C211yesmaximal, characteristic, complemented
4C3×#5169C212yesmaximal
5C3×#5164C212yesmaximal, complemented
6C3×#5083C211yesmaximal, characteristic, complemented
7C3×#5007C211yesmaximal, characteristic, complemented
8C3×#4846C211yesmaximal, characteristic, complemented
9C3×#4835C211yesmaximal, characteristic, complemented
10C3×#4817C212yesmaximal, complemented
11C3×#4811C212yesmaximal, complemented
12C3×#3110—31nomaximal
13#80410C311yesmaximal, characteristic, direct product factor
14C2×C3×D3×D4C2211yescharacteristic
15C22×C3×C4×D3—21no—
16C2×C32×SD16C2212yes—
17C32×C4⋊Q8C2211yescharacteristic, complemented
18C32×C4×D4C2211yescharacteristic
19C3×#946C2212yes—
20C3×Q8×Dic3C2212yescomplemented
21C2×C3×#215C2212yes—
22C3×D4×Dic3C2211yescharacteristic
23C3×C4×#67—21no—
24C3×#897—21no—
25C3×#893C2211yescharacteristic
26C3×#892—21no—
27C3×D3×C4⋊C4C2211yescharacteristic
28C3×#890—21no—
29C3×#887—21no—
30C3×#67⋊C4—21no—
31C3×D3×C22⋊C4—21no—
32C3×C4×D12C2211yescharacteristic
33C3×C42×D3C2211yescharacteristic
34C3×#869C2211yescharacteristic, complemented
35C32×C4⋊C8C2211yescharacteristic, complemented
36C32×#103C2212yescomplemented
37C3×#835C2212yescomplemented
38C3×#832C2212yes—
39C3×#821C2212yes—
40C3×(C2×D3)⋊C8C2212yes—
41C3×#818C2212yescomplemented
42C3×#815C2212yescomplemented
43C3×#807C2212yescomplemented
44C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
45C3×#533—31no—
46C2×C3×C4×D4—31no—
47#5728C2×C311yescharacteristic, complemented
48C4×D3×D4C2×C311yescharacteristic
49C3×#484—32no—
50C3×#474—31no—
51C3×#474—31no—
52C3×#461—21no—
53C3×#461—31no—
54C3×#461D311yescharacteristic, complemented
55C3×#461C2×C311yescharacteristic, complemented
56C3×#450—32no—
57C3×#440—32no—
58C3×#440—32no—
59C3×#432—31no—
60#5169C2×C312yes—
61#5164C2×C312yescomplemented
62#5083C2×C311yescharacteristic, complemented
63#5007C2×C311yescharacteristic, complemented
64#4846C2×C311yescharacteristic, complemented
65#4835C2×C311yescharacteristic, complemented
66#4817C2×C312yescomplemented
67#4811C2×C312yescomplemented
68C23×C3×D3—21no—
69C2×C32×Q8C2312yes—
70C2×C32×D4C2311yescharacteristic
71C22×C32×C4—21no—
72C2×C3×#67—21no—
73C22×C3×Dic3—21no—
74C3×D3×D4—22no—
75C3×D3×D4—22no—
76C2×C3×D12C2311yescharacteristic
77C2×C3×C4×D3—21no—
78C2×C3×C4×D3—21no—
79C2×C3×C4×D3—21no—
80C2×C3×C4×D3—44no—
81C2×C3×C4×D3D411yescharacteristic
82C2×C3×C4×D3D411yescharacteristic
83C2×C3×C4×D3C2311yescharacteristic
84C2×C3×Dic6—21no—
85C32×SD16—24no—
86C2×C32×C8C2312yes—
87C32×C4⋊C4—21no—
88C32×C4⋊C4—21no—
89C32×C4⋊C4C2311yescharacteristic
90C32×C22⋊C4—21no—
91C32×C42C2311yescharacteristic
92C3×#217—21no—
93C3×#215—24no—
94C3×(C2×D3)⋊C4—22no—
95C3×(C2×D3)⋊C4—21no—
96C3×(C2×D3)⋊C4—21no—
97C3×C4⋊Dic3—21no—
98C3×C4⋊Dic3—22no—
99C3×C4⋊Dic3C2311yescharacteristic
100C3×C4⋊Dic3C2312yes—
101C3×Dic3⋊C4—21no—
102C3×Dic3⋊C4—22no—
103C3×C4×Dic3—22no—
104C3×C4×Dic3D411yescharacteristic
105C3×C4×Dic3D411yescharacteristic
106C3×C4×Dic3C2311yescharacteristic
107C2×C3×C3⋊C8C2312yes—
108#3110—31noSylow
109C22×C3×D4—31no—
110C23×C3×C4—61no—
111C2×D3×D4C22×C311yescharacteristic
112C22×C4×D3—21no—
113C2×C3×SD16—22no—
114C2×C3×SD16—32no—
115C2×C3×SD16C2×D312yes—
116C2×C3×SD16C22×C312yes—
117C3×C4⋊Q8—21no—
118C3×C4⋊Q8—31no—
119C3×C4⋊Q8C2×D311yescharacteristic, complemented
120C3×C4⋊Q8C22×C311yescharacteristic, complemented
121C3×#125—61no—
122C3×C22⋊Q8—32no—
123C3×C22⋊Q8—61no—
124C3×C4×Q8—32no—
125C3×C4×Q8—61no—
126C3×C4×D4—21no—
127C3×C4×D4—31no—
128C3×C4×D4—31no—
129C3×C4×D4—31no—
130C3×C4×D4—61no—
131C3×C4×D4—61no—
132C3×C4×D4C2×D311yescharacteristic
133C3×C4×D4C22×C311yescharacteristic
134C3×#117—61no—
135C2×C3×C4⋊C4—31no—
136C2×C3×C22⋊C4—61no—
137C2×C3×C42—31no—
138#946C22×C312yes—
139Q8×Dic3C22×C312yescomplemented
140C2×#215C22×C312yes—
141D4×Dic3C22×C311yescharacteristic
142C4×#67—21no—
143#897—21no—
144#893C22×C311yescharacteristic
145#892—21no—
146D3×C4⋊C4C22×C311yescharacteristic
147#890—21no—
148#887—21no—
149#67⋊C4—21no—
150D3×C22⋊C4—21no—
151C4×D12C22×C311yescharacteristic
152C42×D3C22×C311yescharacteristic
153#869C22×C311yescharacteristic, complemented
154C3×#107—32no—
155C3×#107—32no—
156C3×C4⋊C8—21no—
157C3×C4⋊C8—31no—
158C3×C4⋊C8C2×D311yescharacteristic, complemented
159C3×C4⋊C8C22×C311yescharacteristic, complemented
160C3×#103—22no—
161C3×#103—32no—
162C3×#103C2×D312yescomplemented
163C3×#103C22×C312yescomplemented
164C3×#102—32no—
165C3×#102—32no—
166C3×C22⋊C8—32no—
167C3×#97—32no—
168#835C22×C312yescomplemented
169#832C22×C312yes—
170#821C22×C312yes—
171(C2×D3)⋊C8C22×C312yes—
172#818C22×C312yescomplemented
173#815C22×C312yescomplemented
174#807C22×C312yescomplemented
175C4⋊(C3⋊C8)C22×C311yescharacteristic, complemented
176C23×C32—21no—
177C22×C3×D3—24no—
178C22×C3×D3—21no—
179C22×C3×D3—42no—
180C22×C3×D3—42no—
181C22×C3×D3C2×D411yescharacteristic
182C32×Q8—22no—
183C32×Q8—22no—
184C32×D4—21no—
185C32×D4#4112yes—
186C2×C32×C4—22no—
187C2×C32×C4—21no—
188C2×C32×C4—42no—
189C2×C32×C4C2×D411yescharacteristic
190C2×C32×C4C2×D411yescharacteristic
191C2×C32×C4C2411yescharacteristic
192C3×#67—24no—
193C2×C3×Dic3—22no—
194C2×C3×Dic3—21no—
195C2×C3×Dic3—42no—
196C2×C3×Dic3C2×D411yescharacteristic
197C2×C3×Dic3C2×D411yescharacteristic
198C2×C3×Dic3C2×D411yescharacteristic
199C3×D12—21no—
200C3×D12#4112yes—
201C3×C4×D3—22no—
202C3×C4×D3—22no—
203C3×C4×D3—21no—
204C3×C4×D3—21no—
205C3×C4×D3—42no—
206C3×C4×D3—42no—
207C3×C4×D3—42no—
208C3×Dic6—42no—
209C32×C8—22no—
210C3×C3⋊C8—22no—
211#533—31no—
212C2×C4×D4—31no—
213#484—32no—
214#474—31no—
215#474—31no—
216#461—31no—
217#461C3×D311yescharacteristic, complemented
218#450—32no—
219#440—32no—
220#440—32no—
221#432—31no—
222C24×C3—61no—
223C23×D3—21no—
224C2×C3×Q8—22no—
225C2×C3×Q8—61no—
226C2×C3×Q8C22×D312yes—
227C2×C3×Q8C23×C312yes—
228C2×C3×D4—21no—
229C2×C3×D4—31no—
230C2×C3×D4—61no—
231C2×C3×D4—62no—
232C2×C3×D4—62no—
233C2×C3×D4C22×D311yescharacteristic
234C2×C3×D4C23×C311yescharacteristic
235C22×C3×C4—21no—
236C22×C3×C4—21no—
237C22×C3×C4—31no—
238C22×C3×C4—31no—
239C22×C3×C4—31no—
240C22×C3×C4—41no—
241C22×C3×C4—61no—
242C22×C3×C4—61no—
243C22×C3×C4—61no—
244C22×C3×C4—61no—
245C22×C3×C4—124no—
246C2×#67—21no—
247C22×Dic3—21no—
248D3×D4—22no—
249D3×D4—22no—
250C2×D12C23×C311yescharacteristic
251C2×C4×D3—21no—
252C2×C4×D3—21no—
253C2×C4×D3—21no—
254C2×C4×D3—44no—
255C2×C4×D3C3×D411yescharacteristic
256C2×C4×D3C3×D411yescharacteristic
257C2×C4×D3C23×C311yescharacteristic
258C2×Dic6—21no—
259C3×SD16—24no—
260C3×SD16—24no—
261C3×SD16—44no—
262C3×SD16—64no—
263C2×C3×C8—22no—
264C2×C3×C8—32no—
265C2×C3×C8C22×D312yes—
266C2×C3×C8C23×C312yes—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—21no—
271C3×C4⋊C4—21no—
272C3×C4⋊C4—32no—
273C3×C4⋊C4—31no—
274C3×C4⋊C4—41no—
275C3×C4⋊C4—41no—
276C3×C4⋊C4—61no—
277C3×C4⋊C4—62no—
278C3×C4⋊C4—62no—
279C3×C4⋊C4—61no—
280C3×C4⋊C4C22×D311yescharacteristic
281C3×C4⋊C4C23×C311yescharacteristic
282C3×C22⋊C4—21no—
283C3×C22⋊C4—21no—
284C3×C22⋊C4—41no—
285C3×C22⋊C4—61no—
286C3×C22⋊C4—62no—
287C3×C22⋊C4—61no—
288C3×C22⋊C4—61no—
289C3×C42—21no—
290C3×C42—31no—
291C3×C42—31no—
292C3×C42—31no—
293C3×C42—62no—
294C3×C42C22×D311yescharacteristic
295C3×C42C23×C311yescharacteristic
296#217—21no—
297#215—24no—
298(C2×D3)⋊C4—22no—
299(C2×D3)⋊C4—21no—
300(C2×D3)⋊C4—21no—
301C4⋊Dic3—21no—
302C4⋊Dic3—22no—
303C4⋊Dic3C23×C312yes—
304C4⋊Dic3C23×C311yescharacteristic
305Dic3⋊C4—21no—
306Dic3⋊C4—22no—
307C4×Dic3—22no—
308C4×Dic3C3×D411yescharacteristic
309C4×Dic3C3×D411yescharacteristic
310C4×Dic3C23×C311yescharacteristic
311C2×C3⋊C8C23×C312yes—
312C22×C32—22no—
313C22×C32—41no—
314C22×C32—41no—
315C22×C32C22×D411yescharacteristic
316C2×C3×D3—21no—
317C2×C3×D3—21no—
318C2×C3×D3—22no—
319C2×C3×D3—48no—
320C2×C3×D3—41no—
321C2×C3×D3—41no—
322C2×C3×D3#13712yes—
323C32×C4—21no—
324C32×C4—42no—
325C32×C4—41no—
326C32×C4AGL(1,ℤ/8)12yes—
327C32×C4C2×#4111yescharacteristic
328C32×C4C2×#4111yescharacteristic
329C3×Dic3—21no—
330C3×Dic3—21no—
331C3×Dic3—21no—
332C3×Dic3—42no—
333C3×Dic3—41no—
334C22×D4—31no—
335C23×C4—61no—
336C2×SD16—32no—
337C2×SD16C2×C3×D312yes—
338C4⋊Q8—31no—
339C4⋊Q8C2×C3×D311yescharacteristic, complemented
340#125—61no—
341C22⋊Q8—32no—
342C22⋊Q8—61no—
343C4×Q8—32no—
344C4×Q8—61no—
345C4×D4—31no—
346C4×D4—31no—
347C4×D4—31no—
348C4×D4—61no—
349C4×D4—61no—
350C4×D4C2×C3×D311yescharacteristic
351#117—61no—
352C2×C4⋊C4—31no—
353C2×C22⋊C4—61no—
354C2×C42—31no—
355#107—32no—
356#107—32no—
357C4⋊C8—31no—
358C4⋊C8C2×C3×D311yescharacteristic, complemented
359#103—32no—
360#103C2×C3×D312yescomplemented
361#102—32no—
362#102—32no—
363C22⋊C8—32no—
364#97—32no—
365C23×C3—21no—
366C23×C3—21no—
367C23×C3—31no—
368C23×C3—41no—
369C23×C3—64no—
370C23×C3—61no—
371C23×C3—122no—
372C23×C3—122no—
373C22×D3—24no—
374C22×D3—21no—
375C22×D3—42no—
376C22×D3—42no—
377C22×D3C2×C3×D411yescharacteristic
378C3×Q8—22no—
379C3×Q8—22no—
380C3×Q8—22no—
381C3×Q8—22no—
382C3×Q8—42no—
383C3×Q8—42no—
384C3×Q8—122no—
385C3×D4—21no—
386C3×D4—21no—
387C3×D4—22no—
388C3×D4—32no—
389C3×D4—41no—
390C3×D4—64no—
391C3×D4—61no—
392C3×D4#23712yes—
393C3×D4C3×#4112yes—
394C2×C3×C4—22no—
395C2×C3×C4—21no—
396C2×C3×C4—22no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—21no—
400C2×C3×C4—21no—
401C2×C3×C4—31no—
402C2×C3×C4—31no—
403C2×C3×C4—31no—
404C2×C3×C4—41no—
405C2×C3×C4—42no—
406C2×C3×C4—42no—
407C2×C3×C4—42no—
408C2×C3×C4—62no—
409C2×C3×C4—62no—
410C2×C3×C4—61no—
411C2×C3×C4—61no—
412C2×C3×C4—62no—
413C2×C3×C4—61no—
414C2×C3×C4—82no—
415C2×C3×C4—122no—
416C2×C3×C4—122no—
417C2×C3×C4—122no—
418C2×C3×C4—122no—
419C2×C3×C4D3×D411yescharacteristic
420C2×C3×C4D3×D411yescharacteristic
421C2×C3×C4C2×C3×D411yescharacteristic
422C2×C3×C4C2×C3×D411yescharacteristic
423C2×C3×C4C23×D311yescharacteristic
424C2×C3×C4C24×C311yescharacteristic
425#67—24no—
426C2×Dic3—22no—
427C2×Dic3—21no—
428C2×Dic3—42no—
429C2×Dic3C2×C3×D411yescharacteristic
430C2×Dic3C2×C3×D411yescharacteristic
431C2×Dic3C2×C3×D411yescharacteristic
432D12—21no—
433D12C3×#4112yes—
434C4×D3—22no—
435C4×D3—22no—
436C4×D3—21no—
437C4×D3—21no—
438C4×D3—42no—
439C4×D3—42no—
440C4×D3—42no—
441Dic6—42no—
442C3×C8—22no—
443C3×C8—22no—
444C3×C8—42no—
445C3×C8—62no—
446C3⋊C8—22no—
447C2×C32—42no—
448C2×C32#52511yescharacteristic
449C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
450C2×C32C2×#13711yescharacteristic
451C3×D3—22no—
452C3×D3—42no—
453C24—61no—
454C2×Q8—61no—
455C2×Q8C22×C3×D312yes—
456C2×D4—31no—
457C2×D4—61no—
458C2×D4—62no—
459C2×D4—62no—
460C2×D4C22×C3×D311yescharacteristic
461C22×C4—21no—
462C22×C4—31no—
463C22×C4—31no—
464C22×C4—31no—
465C22×C4—61no—
466C22×C4—61no—
467C22×C4—61no—
468C22×C4—61no—
469C22×C4—124no—
470SD16—24no—
471SD16—64no—
472C2×C8—32no—
473C2×C8C22×C3×D312yes—
474C4⋊C4—21no—
475C4⋊C4—21no—
476C4⋊C4—32no—
477C4⋊C4—31no—
478C4⋊C4—61no—
479C4⋊C4—62no—
480C4⋊C4—62no—
481C4⋊C4—61no—
482C4⋊C4C22×C3×D311yescharacteristic
483C22⋊C4—21no—
484C22⋊C4—61no—
485C22⋊C4—62no—
486C22⋊C4—61no—
487C22⋊C4—61no—
488C42—31no—
489C42—31no—
490C42—31no—
491C42—62no—
492C42C22×C3×D311yescharacteristic
493C22×C3—22no—
494C22×C3—22no—
495C22×C3—21no—
496C22×C3—32no—
497C22×C3—42no—
498C22×C3—41no—
499C22×C3—41no—
500C22×C3—41no—
501C22×C3—41no—
502C22×C3—61no—
503C22×C3—61no—
504C22×C3—62no—
505C22×C3—81no—
506C22×C3—81no—
507C22×C3—128no—
508C22×C3—121no—
509C22×C3—121no—
510C22×C3C2×D3×D411yescharacteristic
511C22×C3C22×C3×D411yescharacteristic
512C2×D3—21no—
513C2×D3—21no—
514C2×D3—22no—
515C2×D3—48no—
516C2×D3—41no—
517C2×D3—41no—
518C2×D3C3×#13712yes—
519C3×C4—21no—
520C3×C4—21no—
521C3×C4—22no—
522C3×C4—21no—
523C3×C4—21no—
524C3×C4—41no—
525C3×C4—41no—
526C3×C4—41no—
527C3×C4—42no—
528C3×C4—42no—
529C3×C4—61no—
530C3×C4—61no—
531C3×C4—61no—
532C3×C4—81no—
533C3×C4—82no—
534C3×C4—121no—
535C3×C4—122no—
536C3×C4#91412yes—
537C3×C4C3×AGL(1,ℤ/8)12yes—
538C3×C4C2×#23711yescharacteristic
539C3×C4D3×#4111yescharacteristic
540C3×C4C2×C3×#4111yescharacteristic
541C3×C4C2×C3×#4111yescharacteristic
542Dic3—21no—
543Dic3—21no—
544Dic3—21no—
545Dic3—42no—
546Dic3—41no—
547C32#311011yescharacteristic, complemented, Sylow
548C23—21no—
549C23—31no—
550C23—64no—
551C23—61no—
552C23—122no—
553C23—122no—
554Q8—22no—
555Q8—22no—
556Q8—122no—
557D4—21no—
558D4—32no—
559D4—64no—
560D4—61no—
561D4C3×#23712yes—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—31no—
565C2×C4—31no—
566C2×C4—31no—
567C2×C4—42no—
568C2×C4—62no—
569C2×C4—62no—
570C2×C4—61no—
571C2×C4—61no—
572C2×C4—62no—
573C2×C4—61no—
574C2×C4—122no—
575C2×C4—122no—
576C2×C4—122no—
577C2×C4—122no—
578C2×C4C3×D3×D411yescharacteristic
579C2×C4C3×D3×D411yescharacteristic
580C2×C4C23×C3×D311yescharacteristic
581C8—22no—
582C8—62no—
583C2×C3—21no—
584C2×C3—21no—
585C2×C3—21no—
586C2×C3—42no—
587C2×C3—42no—
588C2×C3—62no—
589C2×C3—82no—
590C2×C3—122no—
591C2×C3#560611yescharacteristic
592C2×C3C2×#91411yescharacteristic
593C2×C3D3×#13711yescharacteristic
594C2×C3C3×#52511yescharacteristic
595C2×C3C2×C3×AGL(1,ℤ/8)11yescharacteristic
596C2×C3C2×C3×#13711yescharacteristic
597D3—22no—
598D3—42no—
599C22—22no—
600C22—32no—
601C22—41no—
602C22—41no—
603C22—61no—
604C22—61no—
605C22—62no—
606C22—128no—
607C22—121no—
608C22—121no—
609C22C2×C3×D3×D411yescharacteristic
610C4—21no—
611C4—41no—
612C4—42no—
613C4—61no—
614C4—61no—
615C4—61no—
616C4—121no—
617C4—122no—
618C4C3×#91412yes—
619C4C2×C3×#23711yescharacteristic
620C4C3×D3×#4111yescharacteristic
621C3—21no—
622C3#8041011yescharacteristic, direct product factor
623C3C3×#311011yescharacteristic, complemented
624C2—42no—
625C2—62no—
626C2—122no—
627C2C3×#560611yescharacteristic
628C2C2×C3×#91411yescharacteristic
629C2C3×D3×#13711yescharacteristic
subgroupG/H
centerC22×C3C2×D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#461C2
socleC22×C32C22×D4
prime radicalC2×C3×D3×D4C22
hypercenterC3×#461D3
hypocenterC3C3×#3110
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×C42 ◁ C3×#461

Complements

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

NH ≅ G/Ntype
1. C3×#5728C2semidirect
3. C32×#461C2semidirect
5. C3×#5164C2semidirect
6. C3×#5083C2semidirect
7. C3×#5007C2semidirect
8. C3×#4846C2semidirect
9. C3×#4835C2semidirect
10. C3×#4817C2semidirect
11. C3×#4811C2semidirect
13. #80410C3direct (N × H)
17. C32×C4⋊Q8C22semidirect
20. C3×Q8×Dic3C22semidirect
34. C3×#869C22semidirect
35. C32×C4⋊C8C22semidirect
36. C32×#103C22semidirect
37. C3×#835C22semidirect
41. C3×#818C22semidirect
42. C3×#815C22semidirect
43. C3×#807C22semidirect
44. C3×C4⋊(C3⋊C8)C22semidirect
47. #5728C2×C3semidirect
54. C3×#461D3semidirect
55. C3×#461C2×C3semidirect
61. #5164C2×C3semidirect
62. #5083C2×C3semidirect
63. #5007C2×C3semidirect
64. #4846C2×C3semidirect
65. #4835C2×C3semidirect
66. #4817C2×C3semidirect
67. #4811C2×C3semidirect
119. C3×C4⋊Q8C2×D3semidirect
120. C3×C4⋊Q8C22×C3semidirect
139. Q8×Dic3C22×C3semidirect
153. #869C22×C3semidirect
158. C3×C4⋊C8C2×D3semidirect
159. C3×C4⋊C8C22×C3semidirect
162. C3×#103C2×D3semidirect
163. C3×#103C22×C3semidirect
168. #835C22×C3semidirect
172. #818C22×C3semidirect
173. #815C22×C3semidirect
174. #807C22×C3semidirect
175. C4⋊(C3⋊C8)C22×C3semidirect
217. #461C3×D3semidirect
339. C4⋊Q8C2×C3×D3semidirect
358. C4⋊C8C2×C3×D3semidirect
360. #103C2×C3×D3semidirect
547. C32#3110semidirect
622. C3#80410direct (N × H)
623. C3C3×#3110semidirect

Maximal subgroups

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

subgroupindex
C3×#57282
C3×C4×D3×D42
C32×#4612
C3×#51692
C3×#51642
C3×#50832
C3×#50072
C3×#48462
C3×#48352
C3×#48172
C3×#48112
C3×#31103
#804103