Finite Group Databasebeta

← C3×#78820 #11860486

Subgroups — C3×#78820 #11860486

Order 1152.

1091 conjugacy classes of subgroups.

The subgroup lattice has 614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5827C211yesmaximal, characteristic, complemented
2C2×C3×#949C211yesmaximal, characteristic
3C3×#5521C211yesmaximal, characteristic, complemented
4C32×#416C211yesmaximal, characteristic, complemented
5C2×C3×#821C211yesmaximal, characteristic, complemented
6C3×#5101C211yesmaximal, characteristic, complemented
7C3×#4995C211yesmaximal, characteristic, complemented
8C3×#4817C212yesmaximal, complemented
9C3×#4788C212yesmaximal, complemented
10C3×#4785C212yesmaximal, complemented
11C3×#4756C212yesmaximal, complemented
12C3×#2946—31nomaximal
13#78820C311yesmaximal, characteristic, direct product factor
14C2×C32×#41C2211yescharacteristic
15C22×C3×D12C2211yescharacteristic
16C22×C32×C8C2211yescharacteristic
17C32×#117C2211yescharacteristic
18C3×#949C418yescomplemented
19C3×Q8×Dic3C2212yescomplemented
20C2×C3×#215C2212yes—
21C3×D4×Dic3—22no—
22C3×D4×Dic3C2212yescomplemented
23C2×C3×#213C2212yes—
24C3×#926—21no—
25C3×#926C2211yescharacteristic
26C2×C3×C4⋊Dic3—21no—
27C2×C3×C4⋊Dic3C2211yescharacteristic
28C2×C3×#208C2211yescharacteristic
29C3×#893C2212yes—
30C3×#893C2212yes—
31C3×D3×C22⋊C4—22no—
32C3×C4×D12—21no—
33C3×C4×D12—21no—
34C32×#103C2211yescharacteristic, complemented
35C32×#103C2211yescharacteristic, complemented
36C32×#102C2211yescharacteristic, complemented
37C32×#102C2211yescharacteristic, complemented
38C3×#821C2212yes—
39C3×#821C2212yes—
40C3×#815C2212yescomplemented
41C3×C8×Dic3C2212yescomplemented
42C3×#808C2212yescomplemented
43C3×#807C2212yescomplemented
44C2×C3×AGL(1,ℤ/8)—31no—
45C3×#520—31no—
46C3×#518—31no—
47#5827C2×C311yescharacteristic, complemented
48C2×#949C2×C311yescharacteristic
49#5521C2×C311yescharacteristic, complemented
50C3×#442—32no—
51C3×#440—32no—
52C3×C4×SD16—32no—
53C3×C4×D8—32no—
54C3×#428—31no—
55C3×#416—21no—
56C3×#416D311yescharacteristic, complemented
57C3×#416C2×C311yescharacteristic, complemented
58C2×C3×#102—31no—
59C3×#405—31no—
60C2×#821C2×C311yescharacteristic, complemented
61#5101C2×C311yescharacteristic, complemented
62#4995C2×C311yescharacteristic, complemented
63#4817C2×C312yescomplemented
64#4788C2×C312yescomplemented
65#4785C2×C312yescomplemented
66#4756C2×C312yescomplemented
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×C4C2311yescharacteristic
75C22×C3×Dic3—21no—
76C22×C3×Dic3—22no—
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—
83C2×C32×C8—22no—
84C2×C32×C8C2311yescharacteristic
85C2×C32×C8C2311yescharacteristic
86C32×C4⋊C4C2311yescharacteristic
87C32×C4⋊C4C2311yescharacteristic
88C32×C22⋊C4—21no—
89C32×C42—21no—
90C3×#217—22no—
91C3×#217D412yes—
92C3×#215C2×C418yescomplemented
93C3×#213C2×C418yescomplemented
94C3×(C2×D3)⋊C4—22no—
95C3×(C2×D3)⋊C4—22no—
96C3×C4⋊Dic3—21no—
97C3×C4⋊Dic3—22no—
98C3×C4⋊Dic3D411yescharacteristic
99C3×C4⋊Dic3D411yescharacteristic
100C3×C4⋊Dic3C2312yes—
101C3×C4×Dic3—22no—
102C3×C4×Dic3C2312yes—
103C3×#208C2×C414yescomplemented
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—21no—
116C22×C3×C8C2×D311yescharacteristic
117C22×C3×C8C22×C311yescharacteristic
118C3×C4×Q8—32no—
119C3×C4×D4—32no—
120C3×C4×D4—32no—
121C3×C4×D4—32no—
122C3×C4×D4—61no—
123C3×C4×D4—61no—
124C3×C4×D4—62no—
125C3×#117—21no—
126C3×#117—31no—
127C3×#117—61no—
128C3×#117C2×D311yescharacteristic
129C3×#117C22×C311yescharacteristic
130C2×C3×C4⋊C4—31no—
131C2×C3×C4⋊C4—61no—
132C2×C3×C22⋊C4—62no—
133#949C3×C418yescomplemented
134Q8×Dic3C22×C312yescomplemented
135C2×#215C22×C312yes—
136D4×Dic3—22no—
137D4×Dic3C22×C312yescomplemented
138C2×#213C22×C312yes—
139#926—21no—
140#926C22×C311yescharacteristic
141C2×C4⋊Dic3—21no—
142C2×C4⋊Dic3C22×C311yescharacteristic
143C2×#208C22×C311yescharacteristic
144#893C22×C312yes—
145#893C22×C312yes—
146D3×C22⋊C4—22no—
147C4×D12—21no—
148C4×D12—21no—
149C3×#107—32no—
150C3×#106—32no—
151C3×#103—21no—
152C3×#103—21no—
153C3×#103C2×D311yescharacteristic, complemented
154C3×#103C2×D311yescharacteristic, complemented
155C3×#103C22×C311yescharacteristic, complemented
156C3×#103C22×C311yescharacteristic, complemented
157C3×#102—21no—
158C3×#102—21no—
159C3×#102—32no—
160C3×#102—32no—
161C3×#102C2×D311yescharacteristic, complemented
162C3×#102C2×D311yescharacteristic, complemented
163C3×#102C22×C311yescharacteristic, complemented
164C3×#102C22×C311yescharacteristic, complemented
165C3×#97—32no—
166C3×C4×C8—32no—
167#821C22×C312yes—
168#821C22×C312yes—
169#815C22×C312yescomplemented
170C8×Dic3C22×C312yescomplemented
171#808C22×C312yescomplemented
172#807C22×C312yescomplemented
173C23×C32—21no—
174C23×C32C2×D411yescharacteristic
175C22×C3×D3—22no—
176C22×C3×D3—24no—
177C22×C3×D3—81no—
178C22×C3×D3—81no—
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—21no—
187C2×C32×C4—21no—
188C2×C32×C4C22×C412yes—
189C2×C32×C4C2×D411yescharacteristic
190C2×C32×C4#4112yes—
191C2×C32×C4C2411yescharacteristic
192C2×C3×Dic3—22no—
193C2×C3×Dic3—82no—
194C2×C3×Dic3—81no—
195C2×C3×Dic3C2×D412yes—
196C2×C3×Dic3C2×D412yes—
197C3×D12—24no—
198C3×D12—22no—
199C3×D12C22×C414yes—
200C3×C4×D3—82no—
201C3×C4×D3—82no—
202C32×C8—21no—
203C32×C8—21no—
204C3×C3⋊C8C22×C414yes—
205C2×AGL(1,ℤ/8)—31no—
206#520—31no—
207#518—31no—
208#442—32no—
209#440—32no—
210C4×SD16—32no—
211C4×D8—32no—
212#428—31no—
213#416C3×D311yescharacteristic, complemented
214C2×#102—31no—
215#405—31no—
216C24×C3—61no—
217C23×D3—21no—
218C3×#41—22no—
219C3×#41—22no—
220C3×#41—24no—
221C3×#41—42no—
222C3×#41C4×D314yescomplemented
223C3×#41C2×C3×C414yescomplemented
224C2×C3×Q8—21no—
225C2×C3×Q8C22×D311yescharacteristic
226C2×C3×Q8C23×C311yescharacteristic
227C2×C3×D4—21no—
228C2×C3×D4—21no—
229C2×C3×D4—21no—
230C2×C3×D4—34no—
231C2×C3×D4—32no—
232C2×C3×D4—41no—
233C2×C3×D4—61no—
234C2×C3×D4—62no—
235C2×C3×D4C22×D311yescharacteristic
236C2×C3×D4C23×C311yescharacteristic
237C22×C3×C4—21no—
238C22×C3×C4—21no—
239C22×C3×C4—21no—
240C22×C3×C4—41no—
241C22×C3×C4—62no—
242C22×C3×C4—62no—
243C22×C3×C4—62no—
244C22×C3×C4—61no—
245C22×C3×C4C22×D311yescharacteristic
246C22×C3×C4C23×C311yescharacteristic
247C22×Dic3—21no—
248C22×Dic3—22no—
249C2×D12—21no—
250C2×D12—22no—
251C2×D12C2×C3×C414yescomplemented
252C2×D12C23×C312yes—
253C2×C4×D3—22no—
254C2×C4×D3—22no—
255C3×SD16—38no—
256C3×D8—38no—
257C3×M16—34no—
258C2×C3×C8—22no—
259C2×C3×C8—22no—
260C2×C3×C8—21no—
261C2×C3×C8—21no—
262C2×C3×C8—32no—
263C2×C3×C8—42no—
264C2×C3×C8C22×D311yescharacteristic
265C2×C3×C8C22×D311yescharacteristic
266C2×C3×C8C23×C311yescharacteristic
267C2×C3×C8C23×C311yescharacteristic
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—31no—
271C3×C4⋊C4—31no—
272C3×C4⋊C4—32no—
273C3×C4⋊C4—62no—
274C3×C4⋊C4—61no—
275C3×C4⋊C4C22×D311yescharacteristic
276C3×C4⋊C4C22×D311yescharacteristic
277C3×C4⋊C4C23×C311yescharacteristic
278C3×C4⋊C4C23×C311yescharacteristic
279C3×C22⋊C4—21no—
280C3×C22⋊C4—21no—
281C3×C22⋊C4—32no—
282C3×C22⋊C4—41no—
283C3×C22⋊C4—62no—
284C3×C22⋊C4—62no—
285C3×C22⋊C4—62no—
286C3×C42—21no—
287C3×C42—21no—
288C3×C42—32no—
289C3×C42—41no—
290C3×C42—62no—
291#217—22no—
292#217C3×D412yes—
293#215C2×C3×C418yescomplemented
294#213C2×C3×C418yescomplemented
295(C2×D3)⋊C4—22no—
296(C2×D3)⋊C4—22no—
297C4⋊Dic3—21no—
298C4⋊Dic3—22no—
299C4⋊Dic3C3×D411yescharacteristic
300C4⋊Dic3C3×D411yescharacteristic
301C4⋊Dic3C23×C312yes—
302C4×Dic3—22no—
303C4×Dic3C23×C312yes—
304#208C2×C3×C414yescomplemented
305C2×C3⋊C8C23×C312yes—
306C22×C32—21no—
307C22×C32—21no—
308C22×C32—22no—
309C22×C32—41no—
310C22×C32—41no—
311C22×C32C4×D412yes—
312C22×C32C22×D411yescharacteristic
313C2×C3×D3—24no—
314C2×C3×D3—42no—
315C2×C3×D3—42no—
316C2×C3×D3—84no—
317C32×C4—22no—
318C32×C4—41no—
319C32×C4—41no—
320C32×C4C4×D412yes—
321C32×C4C23×C411yescharacteristic
322C32×C4C2×#4111yescharacteristic
323C3×Dic3—22no—
324C3×Dic3—22no—
325C3×Dic3—42no—
326C2×#41C2×C3×D311yescharacteristic
327C22×D4—31no—
328AGL(1,ℤ/8)—38no—
329C2×SD16—32no—
330C2×D8—32no—
331C2×M16—31no—
332C22×C8C2×C3×D311yescharacteristic
333C4×Q8—32no—
334C4×D4—32no—
335C4×D4—32no—
336C4×D4—32no—
337C4×D4—61no—
338C4×D4—61no—
339C4×D4—62no—
340#117—31no—
341#117—61no—
342#117C2×C3×D311yescharacteristic
343C2×C4⋊C4—31no—
344C2×C4⋊C4—61no—
345C2×C22⋊C4—62no—
346#107—32no—
347#106—32no—
348#103C2×C3×D311yescharacteristic, complemented
349#103C2×C3×D311yescharacteristic, complemented
350#102—32no—
351#102—32no—
352#102C2×C3×D311yescharacteristic, complemented
353#102C2×C3×D311yescharacteristic, complemented
354#97—32no—
355C4×C8—32no—
356C23×C3—21no—
357C23×C3—21no—
358C23×C3—21no—
359C23×C3—41no—
360C23×C3—62no—
361C23×C3—64no—
362C23×C3—241no—
363C23×C3—241no—
364C23×C3D3×D411yescharacteristic
365C23×C3C2×C3×D411yescharacteristic
366C22×D3—22no—
367C22×D3—24no—
368C22×D3—81no—
369C22×D3—81no—
370C3×Q8—21no—
371C3×Q8—21no—
372C3×Q8—22no—
373C3×Q8—41no—
374C3×Q8C2×C4×D312yes—
375C3×Q8C22×C3×C412yes—
376C3×D4—24no—
377C3×D4—24no—
378C3×D4—21no—
379C3×D4—21no—
380C3×D4—22no—
381C3×D4—34no—
382C3×D4—41no—
383C3×D4—44no—
384C3×D4—64no—
385C3×D4—62no—
386C3×D4C2×C4×D312yes—
387C3×D4C22×C3×C412yes—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—24no—
391C2×C3×C4—24no—
392C2×C3×C4—21no—
393C2×C3×C4—21no—
394C2×C3×C4—21no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—22no—
398C2×C3×C4—21no—
399C2×C3×C4—22no—
400C2×C3×C4—32no—
401C2×C3×C4—32no—
402C2×C3×C4—44no—
403C2×C3×C4—41no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—62no—
407C2×C3×C4—242no—
408C2×C3×C4—242no—
409C2×C3×C4—242no—
410C2×C3×C4—241no—
411C2×C3×C4C2×C4×D312yes—
412C2×C3×C4D3×D411yescharacteristic
413C2×C3×C4#23712yes—
414C2×C3×C4C22×C3×C412yes—
415C2×C3×C4C2×C3×D411yescharacteristic
416C2×C3×C4C3×#4112yes—
417C2×C3×C4C23×D311yescharacteristic
418C2×C3×C4C24×C311yescharacteristic
419C2×Dic3—22no—
420C2×Dic3—82no—
421C2×Dic3—81no—
422C2×Dic3C2×C3×D412yes—
423C2×Dic3C2×C3×D412yes—
424D12—24no—
425D12—22no—
426D12C22×C3×C414yes—
427C4×D3—82no—
428C4×D3—82no—
429C3×C8—21no—
430C3×C8—21no—
431C3×C8—21no—
432C3×C8—21no—
433C3×C8—34no—
434C3×C8—41no—
435C3×C8—41no—
436C3⋊C8C22×C3×C414yes—
437C2×C32—22no—
438C2×C32—42no—
439C2×C32C2×C4×D411yescharacteristic
440C2×C32#57611yescharacteristic
441C2×C32#57711yescharacteristic
442C3×D3—44no—
443C24—61no—
444#41—22no—
445#41C3×C4×D314yescomplemented
446C2×Q8C22×C3×D311yescharacteristic
447C2×D4—21no—
448C2×D4—32no—
449C2×D4—34no—
450C2×D4—61no—
451C2×D4—62no—
452C2×D4C22×C3×D311yescharacteristic
453C22×C4—21no—
454C22×C4—62no—
455C22×C4—62no—
456C22×C4—62no—
457C22×C4—61no—
458C22×C4C22×C3×D311yescharacteristic
459SD16—38no—
460D8—38no—
461M16—34no—
462C2×C8—22no—
463C2×C8—32no—
464C2×C8C22×C3×D311yescharacteristic
465C2×C8C22×C3×D311yescharacteristic
466C4⋊C4—31no—
467C4⋊C4—31no—
468C4⋊C4—32no—
469C4⋊C4—62no—
470C4⋊C4—61no—
471C4⋊C4C22×C3×D311yescharacteristic
472C4⋊C4C22×C3×D311yescharacteristic
473C22⋊C4—21no—
474C22⋊C4—32no—
475C22⋊C4—62no—
476C22⋊C4—62no—
477C22⋊C4—62no—
478C42—21no—
479C42—32no—
480C42—62no—
481C22×C3—21no—
482C22×C3—21no—
483C22×C3—21no—
484C22×C3—21no—
485C22×C3—22no—
486C22×C3—22no—
487C22×C3—22no—
488C22×C3—21no—
489C22×C3—41no—
490C22×C3—41no—
491C22×C3—42no—
492C22×C3—41no—
493C22×C3—41no—
494C22×C3—41no—
495C22×C3—41no—
496C22×C3—64no—
497C22×C3—81no—
498C22×C3—81no—
499C22×C3—122no—
500C22×C3—122no—
501C22×C3—244no—
502C22×C3#67⋊C412yes—
503C22×C3C3×C4×D412yes—
504C22×C3C2×D3×D411yescharacteristic
505C22×C3C22×C3×D411yescharacteristic
506C2×D3—24no—
507C2×D3—42no—
508C2×D3—42no—
509C2×D3—84no—
510C3×C4—22no—
511C3×C4—22no—
512C3×C4—22no—
513C3×C4—21no—
514C3×C4—21no—
515C3×C4—42no—
516C3×C4—41no—
517C3×C4—41no—
518C3×C4—41no—
519C3×C4—41no—
520C3×C4—62no—
521C3×C4—62no—
522C3×C4—81no—
523C3×C4—81no—
524C3×C4—122no—
525C3×C4#67⋊C412yes—
526C3×C4C3×C4×D412yes—
527C3×C4C22×C4×D311yescharacteristic
528C3×C4C2×#23711yescharacteristic
529C3×C4C23×C3×C411yescharacteristic
530C3×C4C2×C3×#4111yescharacteristic
531Dic3—22no—
532Dic3—22no—
533Dic3—42no—
534C32#294611yescharacteristic, complemented, Sylow
535C23—21no—
536C23—62no—
537C23—64no—
538C23—241no—
539C23—241no—
540C23C3×D3×D411yescharacteristic
541Q8—21no—
542Q8C2×C3×C4×D312yes—
543D4—24no—
544D4—21no—
545D4—34no—
546D4—64no—
547D4—62no—
548D4C2×C3×C4×D312yes—
549C2×C4—21no—
550C2×C4—24no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—32no—
554C2×C4—32no—
555C2×C4—62no—
556C2×C4—242no—
557C2×C4—242no—
558C2×C4—242no—
559C2×C4—241no—
560C2×C4C2×C3×C4×D312yes—
561C2×C4C3×D3×D411yescharacteristic
562C2×C4C3×#23712yes—
563C2×C4C23×C3×D311yescharacteristic
564C8—21no—
565C8—21no—
566C8—34no—
567C2×C3—22no—
568C2×C3—22no—
569C2×C3—21no—
570C2×C3—21no—
571C2×C3—21no—
572C2×C3—42no—
573C2×C3—42no—
574C2×C3—42no—
575C2×C3—82no—
576C2×C3—124no—
577C2×C3C2×#67⋊C411yescharacteristic
578C2×C3#576911yescharacteristic
579C2×C3#577011yescharacteristic
580C2×C3C2×C3×C4×D411yescharacteristic
581C2×C3C3×#57611yescharacteristic
582C2×C3C3×#57711yescharacteristic
583D3—44no—
584C22—21no—
585C22—21no—
586C22—22no—
587C22—41no—
588C22—41no—
589C22—64no—
590C22—122no—
591C22—122no—
592C22—244no—
593C22C3×#67⋊C412yes—
594C22C2×C3×D3×D411yescharacteristic
595C4—22no—
596C4—41no—
597C4—41no—
598C4—62no—
599C4—62no—
600C4—122no—
601C4C3×#67⋊C412yes—
602C4C22×C3×C4×D311yescharacteristic
603C4C2×C3×#23711yescharacteristic
604C3—21no—
605C3#7882011yescharacteristic, direct product factor
606C3C3×#294611yescharacteristic, complemented
607C2—22no—
608C2—42no—
609C2—124no—
610C2C2×C3×#67⋊C411yescharacteristic
611C2C3×#576911yescharacteristic
612C2C3×#577011yescharacteristic
subgroupG/H
centerC22×C3C2×D3×D4
commutatorC3×C4C23×C3×C4
FrattiniC2×C4C23×C3×D3
FittingC32×#416C2
socleC22×C32C22×D4
prime radicalC2×C3×#949C2
cosocleC2×C3×C4C24×C3
hypercenterC3×#416D3
hypocenterC3C3×#2946
LCSG ▷ C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C3×#416

Complements

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

NH ≅ G/Ntype
1. C3×#5827C2semidirect
3. C3×#5521C2semidirect
4. C32×#416C2semidirect
5. C2×C3×#821C2semidirect
6. C3×#5101C2semidirect
7. C3×#4995C2semidirect
8. C3×#4817C2semidirect
9. C3×#4788C2semidirect
10. C3×#4785C2semidirect
11. C3×#4756C2semidirect
13. #78820C3direct (N × H)
18. C3×#949C4semidirect
19. C3×Q8×Dic3C22semidirect
22. C3×D4×Dic3C22semidirect
34. C32×#103C22semidirect
35. C32×#103C22semidirect
36. C32×#102C22semidirect
37. C32×#102C22semidirect
40. C3×#815C22semidirect
41. C3×C8×Dic3C22semidirect
42. C3×#808C22semidirect
43. C3×#807C22semidirect
47. #5827C2×C3semidirect
49. #5521C2×C3semidirect
56. C3×#416D3semidirect
57. C3×#416C2×C3semidirect
60. C2×#821C2×C3semidirect
61. #5101C2×C3semidirect
62. #4995C2×C3semidirect
63. #4817C2×C3semidirect
64. #4788C2×C3semidirect
65. #4785C2×C3semidirect
66. #4756C2×C3semidirect
69. C32×#41C2×C4semidirect
79. C2×C3×D12C2×C4semidirect
92. C3×#215C2×C4semidirect
93. C3×#213C2×C4semidirect
103. C3×#208C2×C4semidirect
133. #949C3×C4semidirect
134. Q8×Dic3C22×C3semidirect
137. D4×Dic3C22×C3semidirect
153. C3×#103C2×D3semidirect
154. C3×#103C2×D3semidirect
155. C3×#103C22×C3semidirect
156. C3×#103C22×C3semidirect
161. C3×#102C2×D3semidirect
162. C3×#102C2×D3semidirect
163. C3×#102C22×C3semidirect
164. C3×#102C22×C3semidirect
169. #815C22×C3semidirect
170. C8×Dic3C22×C3semidirect
171. #808C22×C3semidirect
172. #807C22×C3semidirect
213. #416C3×D3semidirect
222. C3×#41C4×D3semidirect
223. C3×#41C2×C3×C4semidirect
251. C2×D12C2×C3×C4semidirect
293. #215C2×C3×C4semidirect
294. #213C2×C3×C4semidirect
304. #208C2×C3×C4semidirect
348. #103C2×C3×D3semidirect
349. #103C2×C3×D3semidirect
352. #102C2×C3×D3semidirect
353. #102C2×C3×D3semidirect
445. #41C3×C4×D3semidirect
534. C32#2946semidirect
605. C3#78820direct (N × H)
606. C3C3×#2946semidirect

Maximal subgroups

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

subgroupindex
C3×#58272
C2×C3×#9492
C3×#55212
C32×#4162
C2×C3×#8212
C3×#51012
C3×#49952
C3×#48172
C3×#47882
C3×#47852
C3×#47562
C3×#29463
#788203