Finite Group Databasebeta

← C3×#83141 #11870838

Subgroups — C3×#83141 #11870838

Order 1152.

1025 conjugacy classes of subgroups.

The subgroup lattice has 639 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#529C211yesmaximal, characteristic, complemented
2C2×C3×C4×D12C211yesmaximal, characteristic, complemented
3C3×#5066C212yesmaximal, complemented
4C3×#5057C212yesmaximal, complemented
5C3×#5046C211yesmaximal, characteristic, complemented
6C3×#5044C211yesmaximal, characteristic, complemented
7C3×#5036C211yesmaximal, characteristic
8C3×#5034C211yesmaximal, characteristic, complemented
9C3×C4×#215C212yesmaximal, complemented
10C3×C4×#213C212yesmaximal, complemented
11C3×#4925C211yesmaximal, characteristic, complemented
12C3×#3105—31nomaximal
13#83141C311yesmaximal, characteristic, direct product factor
14C22×C3×D12C2211yescharacteristic
15C22×C3×C4×D3—21no—
16C32×#126—21no—
17C32×#125C2211yescharacteristic, complemented
18C32×#124C2211yescharacteristic, complemented
19C32×#123—21no—
20C32×C22⋊Q8C2211yescharacteristic
21C32×#121C2211yescharacteristic
22C32×C4×Q8C2211yescharacteristic, complemented
23C32×C4×D4—21no—
24C32×C4×D4C2211yescharacteristic, complemented
25C32×#117—21no—
26C2×C32×C42C2211yescharacteristic
27C2×C3×#215C2212yes—
28C2×C3×#213C2212yes—
29C2×C3×(C2×D3)⋊C4—21no—
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C3×C4×D12—21no—
32C3×C4×D12—21no—
33C3×C4×D12C2212yes—
34C3×C4×D12C2212yes—
35C3×#835C2212yescomplemented
36C3×#832C2212yescomplemented
37C3×#830C2211yescharacteristic
38C3×#830C2211yescharacteristic
39C3×#809C2212yes—
40C3×#809C2212yes—
41C3×#808C2212yescomplemented
42C3×#807C2212yescomplemented
43C3×C4⋊(C3⋊C8)C2212yescomplemented
44C3×C4×C3⋊C8C2212yescomplemented
45C3×#529—21no—
46C3×#529D311yescharacteristic, complemented
47C3×#529C2×C311yescharacteristic, complemented
48C2×C3×C4×D4—31no—
49C2×C4×D12C2×C311yescharacteristic, complemented
50C3×#484—31no—
51C3×#481—31no—
52C3×#478—32no—
53C3×#463—32no—
54C3×#450—31no—
55C3×#447—31no—
56C3×C4×SD16—32no—
57C3×C4×D8—32no—
58C3×#431—31no—
59#5066C2×C312yescomplemented
60#5057C2×C312yescomplemented
61#5046C2×C311yescharacteristic, complemented
62#5044C2×C311yescharacteristic, complemented
63#5036C2×C311yescharacteristic
64#5034C2×C311yescharacteristic, complemented
65C4×#215C2×C312yescomplemented
66C4×#213C2×C312yescomplemented
67#4925C2×C311yescharacteristic, complemented
68C23×C3×D3—21no—
69C2×C32×Q8C2311yescharacteristic
70C2×C32×D4—21no—
71C2×C32×D4C2311yescharacteristic
72C22×C32×C4—21no—
73C22×C32×C4D411yescharacteristic
74C22×C32×C4D411yescharacteristic
75C22×C32×C4C2311yescharacteristic
76C22×C3×Dic3—21no—
77C2×C3×D12—21no—
78C2×C3×D12—24no—
79C2×C3×D12C2312yes—
80C2×C3×C4×D3—22no—
81C2×C3×C4×D3—22no—
82C2×C3×C4×D3—44no—
83C32×C4⋊C4—21no—
84C32×C4⋊C4—21no—
85C32×C4⋊C4—21no—
86C32×C4⋊C4—21no—
87C32×C4⋊C4C2311yescharacteristic
88C32×C4⋊C4C2311yescharacteristic
89C32×C22⋊C4—21no—
90C32×C22⋊C4—21no—
91C32×C22⋊C4—21no—
92C32×C22⋊C4—21no—
93C32×C22⋊C4—21no—
94C32×C42—21no—
95C32×C42D411yescharacteristic
96C32×C42D411yescharacteristic
97C32×C42C2311yescharacteristic
98C32×C42C2311yescharacteristic
99C3×#215—24no—
100C3×#213—24no—
101C3×(C2×D3)⋊C4—22no—
102C3×(C2×D3)⋊C4—22no—
103C3×C4⋊Dic3—21no—
104C3×C4⋊Dic3C2312yes—
105C2×C3×C3⋊C8C2312yes—
106C2×C3×C3⋊C8C2312yes—
107#3105—31noSylow
108C22×C3×D4—31no—
109C23×C3×C4—61no—
110C22×D12C22×C311yescharacteristic
111C22×C4×D3—21no—
112C2×C3×SD16—32no—
113C2×C3×D8—32no—
114C3×#126—22no—
115C3×#126—21no—
116C3×#126—21no—
117C3×#125—21no—
118C3×#125C2×D311yescharacteristic, complemented
119C3×#125C22×C311yescharacteristic, complemented
120C3×#124—21no—
121C3×#124C2×D311yescharacteristic, complemented
122C3×#124C22×C311yescharacteristic, complemented
123C3×#123—22no—
124C3×#123—21no—
125C3×#123—21no—
126C3×C22⋊Q8—21no—
127C3×C22⋊Q8C2×D311yescharacteristic
128C3×C22⋊Q8C22×C311yescharacteristic
129C3×#121—21no—
130C3×#121C2×D311yescharacteristic
131C3×#121C22×C311yescharacteristic
132C3×C4×Q8—21no—
133C3×C4×Q8C2×D311yescharacteristic, complemented
134C3×C4×Q8C22×C311yescharacteristic, complemented
135C3×C4×D4—22no—
136C3×C4×D4—21no—
137C3×C4×D4—21no—
138C3×C4×D4—21no—
139C3×C4×D4—32no—
140C3×C4×D4—32no—
141C3×C4×D4—61no—
142C3×C4×D4—61no—
143C3×C4×D4C2×D311yescharacteristic, complemented
144C3×C4×D4C22×C311yescharacteristic, complemented
145C3×#117—22no—
146C3×#117—21no—
147C3×#117—21no—
148C2×C3×C4⋊C4—31no—
149C2×C3×C22⋊C4—61no—
150C2×C3×C42—21no—
151C2×C3×C42C2×D311yescharacteristic
152C2×C3×C42C22×C311yescharacteristic
153C2×#215C22×C312yes—
154C2×#213C22×C312yes—
155C2×(C2×D3)⋊C4—21no—
156C2×C4⋊Dic3C22×C311yescharacteristic
157C4×D12—21no—
158C4×D12—21no—
159C4×D12C22×C312yes—
160C4×D12C22×C312yes—
161C3×#107—32no—
162C3×#106—32no—
163C3×C4⋊C8—32no—
164C3×#103—32no—
165C3×#102—32no—
166C3×#102—32no—
167C3×#102—32no—
168C3×C22⋊C8—31no—
169C3×C22⋊C8—31no—
170C3×C4×C8—32no—
171#835C22×C312yescomplemented
172#832C22×C312yescomplemented
173#830C22×C311yescharacteristic
174#830C22×C311yescharacteristic
175#809C22×C312yes—
176#809C22×C312yes—
177#808C22×C312yescomplemented
178#807C22×C312yescomplemented
179C4⋊(C3⋊C8)C22×C312yescomplemented
180C4×C3⋊C8C22×C312yescomplemented
181C23×C32—21no—
182C23×C32C2×D411yescharacteristic
183C22×C3×D3—24no—
184C22×C3×D3—22no—
185C22×C3×D3—42no—
186C22×C3×D3—42no—
187C32×Q8—22no—
188C32×D4—22no—
189C32×D4—42no—
190C2×C32×C4—21no—
191C2×C32×C4—21no—
192C2×C32×C4—21no—
193C2×C32×C4—22no—
194C2×C32×C4—22no—
195C2×C32×C4—22no—
196C2×C32×C4—42no—
197C2×C32×C4C2×D411yescharacteristic
198C2×C32×C4C2×D411yescharacteristic
199C2×C32×C4C2×D411yescharacteristic
200C2×C32×C4C2×D411yescharacteristic
201C2×C32×C4C2×D411yescharacteristic
202C2×C32×C4C2411yescharacteristic
203C2×C3×Dic3—22no—
204C2×C3×Dic3—42no—
205C3×D12—24no—
206C3×D12—22no—
207C3×D12#4114yes—
208C3×C4×D3—44no—
209C3×C4×D3—44no—
210C3×C3⋊C8—22no—
211C3×C3⋊C8—22no—
212#529C3×D311yescharacteristic, complemented
213C2×C4×D4—31no—
214#484—31no—
215#481—31no—
216#478—32no—
217#463—32no—
218#450—31no—
219#447—31no—
220C4×SD16—32no—
221C4×D8—32no—
222#431—31no—
223C24×C3—61no—
224C23×D3—21no—
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—32no—
233C2×C3×D4—64no—
234C2×C3×D4—61no—
235C2×C3×D4C22×D311yescharacteristic
236C2×C3×D4C23×C311yescharacteristic
237C22×C3×C4—22no—
238C22×C3×C4—21no—
239C22×C3×C4—21no—
240C22×C3×C4—21no—
241C22×C3×C4—21no—
242C22×C3×C4—21no—
243C22×C3×C4—61no—
244C22×C3×C4—62no—
245C22×C3×C4—62no—
246C22×C3×C4—124no—
247C22×C3×C4#6711yescharacteristic
248C22×C3×C4#6711yescharacteristic
249C22×C3×C4C3×D411yescharacteristic
250C22×C3×C4C3×D411yescharacteristic
251C22×C3×C4C22×D311yescharacteristic
252C22×C3×C4C23×C311yescharacteristic
253C22×Dic3—21no—
254C2×D12—21no—
255C2×D12—24no—
256C2×D12C23×C312yes—
257C2×C4×D3—22no—
258C2×C4×D3—22no—
259C2×C4×D3—44no—
260C3×SD16—64no—
261C3×D8—64no—
262C2×C3×C8—32no—
263C2×C3×C8—32no—
264C3×C4⋊C4—22no—
265C3×C4⋊C4—22no—
266C3×C4⋊C4—22no—
267C3×C4⋊C4—22no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—21no—
271C3×C4⋊C4—21no—
272C3×C4⋊C4—21no—
273C3×C4⋊C4—21no—
274C3×C4⋊C4—21no—
275C3×C4⋊C4—21no—
276C3×C4⋊C4—21no—
277C3×C4⋊C4—21no—
278C3×C4⋊C4—32no—
279C3×C4⋊C4—61no—
280C3×C4⋊C4C22×D311yescharacteristic
281C3×C4⋊C4C22×D311yescharacteristic
282C3×C4⋊C4C23×C311yescharacteristic
283C3×C4⋊C4C23×C311yescharacteristic
284C3×C22⋊C4—22no—
285C3×C22⋊C4—22no—
286C3×C22⋊C4—22no—
287C3×C22⋊C4—22no—
288C3×C22⋊C4—22no—
289C3×C22⋊C4—21no—
290C3×C22⋊C4—21no—
291C3×C22⋊C4—21no—
292C3×C22⋊C4—21no—
293C3×C22⋊C4—21no—
294C3×C22⋊C4—21no—
295C3×C22⋊C4—21no—
296C3×C22⋊C4—21no—
297C3×C22⋊C4—21no—
298C3×C22⋊C4—21no—
299C3×C22⋊C4—62no—
300C3×C22⋊C4—62no—
301C3×C42—22no—
302C3×C42—21no—
303C3×C42—21no—
304C3×C42—21no—
305C3×C42—21no—
306C3×C42—21no—
307C3×C42—21no—
308C3×C42#6711yescharacteristic
309C3×C42#6711yescharacteristic
310C3×C42C3×D411yescharacteristic
311C3×C42C3×D411yescharacteristic
312C3×C42C22×D311yescharacteristic
313C3×C42C22×D311yescharacteristic
314C3×C42C23×C311yescharacteristic
315C3×C42C23×C311yescharacteristic
316#215—24no—
317#213—24no—
318(C2×D3)⋊C4—22no—
319(C2×D3)⋊C4—22no—
320C4⋊Dic3—21no—
321C4⋊Dic3C23×C312yes—
322C2×C3⋊C8C23×C312yes—
323C2×C3⋊C8C23×C312yes—
324C22×C32—21no—
325C22×C32—21no—
326C22×C32—41no—
327C22×C32—41no—
328C22×C32—41no—
329C22×C32#13512yes—
330C22×C32C22×D411yescharacteristic
331C2×C3×D3—24no—
332C2×C3×D3—48no—
333C2×C3×D3—42no—
334C2×C3×D3—42no—
335C32×C4—21no—
336C32×C4—21no—
337C32×C4—21no—
338C32×C4—21no—
339C32×C4—41no—
340C32×C4—41no—
341C32×C4—41no—
342C32×C4AGL(1,ℤ/8)12yes—
343C32×C4C2×#4112yes—
344C3×Dic3—42no—
345C22×D4—31no—
346C23×C4—61no—
347C2×SD16—32no—
348C2×D8—32no—
349#126—21no—
350#125C2×C3×D311yescharacteristic, complemented
351#124C2×C3×D311yescharacteristic, complemented
352#123—21no—
353C22⋊Q8C2×C3×D311yescharacteristic
354#121C2×C3×D311yescharacteristic
355C4×Q8C2×C3×D311yescharacteristic, complemented
356C4×D4—21no—
357C4×D4—32no—
358C4×D4—32no—
359C4×D4—61no—
360C4×D4—61no—
361C4×D4C2×C3×D311yescharacteristic, complemented
362#117—21no—
363C2×C4⋊C4—31no—
364C2×C22⋊C4—61no—
365C2×C42C2×C3×D311yescharacteristic
366#107—32no—
367#106—32no—
368C4⋊C8—32no—
369#103—32no—
370#102—32no—
371#102—32no—
372#102—32no—
373C22⋊C8—31no—
374C22⋊C8—31no—
375C4×C8—32no—
376C23×C3—22no—
377C23×C3—21no—
378C23×C3—21no—
379C23×C3—21no—
380C23×C3—64no—
381C23×C3—62no—
382C23×C3—122no—
383C23×C3—122no—
384C23×C3C2×#6711yescharacteristic
385C23×C3C2×C3×D411yescharacteristic
386C22×D3—24no—
387C22×D3—22no—
388C22×D3—42no—
389C22×D3—42no—
390C3×Q8—22no—
391C3×Q8—22no—
392C3×Q8—42no—
393C3×D4—22no—
394C3×D4—22no—
395C3×D4—34no—
396C3×D4—42no—
397C3×D4—44no—
398C3×D4—42no—
399C3×D4—42no—
400C3×D4—64no—
401C3×D4—62no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—22no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—42no—
424C2×C3×C4—42no—
425C2×C3×C4—42no—
426C2×C3×C4—44no—
427C2×C3×C4—42no—
428C2×C3×C4—42no—
429C2×C3×C4—62no—
430C2×C3×C4—124no—
431C2×C3×C4—122no—
432C2×C3×C4—124no—
433C2×C3×C4C2×#6711yescharacteristic
434C2×C3×C4C2×#6711yescharacteristic
435C2×C3×C4C2×#6711yescharacteristic
436C2×C3×C4C2×#6711yescharacteristic
437C2×C3×C4C2×#6711yescharacteristic
438C2×C3×C4C2×C3×D411yescharacteristic
439C2×C3×C4C2×C3×D411yescharacteristic
440C2×C3×C4C2×C3×D411yescharacteristic
441C2×C3×C4C2×C3×D411yescharacteristic
442C2×C3×C4C2×C3×D411yescharacteristic
443C2×C3×C4C23×D311yescharacteristic
444C2×C3×C4C24×C311yescharacteristic
445C2×Dic3—22no—
446C2×Dic3—42no—
447D12—24no—
448D12—22no—
449D12C3×#4114yes—
450C4×D3—44no—
451C4×D3—44no—
452C3×C8—62no—
453C3×C8—62no—
454C3⋊C8—22no—
455C3⋊C8—22no—
456C2×C32—22no—
457C2×C32—81no—
458C2×C32#52511yescharacteristic
459C2×C32C2×#13511yescharacteristic
460C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
461C3×D3—44no—
462C24—61no—
463C2×Q8C22×C3×D311yescharacteristic
464C2×D4—21no—
465C2×D4—32no—
466C2×D4—64no—
467C2×D4—61no—
468C2×D4C22×C3×D311yescharacteristic
469C22×C4—21no—
470C22×C4—61no—
471C22×C4—62no—
472C22×C4—62no—
473C22×C4—124no—
474C22×C4C3×#6711yescharacteristic
475C22×C4C3×#6711yescharacteristic
476C22×C4C22×C3×D311yescharacteristic
477SD16—64no—
478D8—64no—
479C2×C8—32no—
480C2×C8—32no—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—32no—
486C4⋊C4—61no—
487C4⋊C4C22×C3×D311yescharacteristic
488C4⋊C4C22×C3×D311yescharacteristic
489C22⋊C4—21no—
490C22⋊C4—21no—
491C22⋊C4—21no—
492C22⋊C4—21no—
493C22⋊C4—21no—
494C22⋊C4—62no—
495C22⋊C4—62no—
496C42—21no—
497C42C3×#6711yescharacteristic
498C42C3×#6711yescharacteristic
499C42C22×C3×D311yescharacteristic
500C42C22×C3×D311yescharacteristic
501C22×C3—21no—
502C22×C3—21no—
503C22×C3—21no—
504C22×C3—21no—
505C22×C3—22no—
506C22×C3—21no—
507C22×C3—41no—
508C22×C3—41no—
509C22×C3—42no—
510C22×C3—42no—
511C22×C3—42no—
512C22×C3—41no—
513C22×C3—41no—
514C22×C3—41no—
515C22×C3—41no—
516C22×C3—41no—
517C22×C3—41no—
518C22×C3—64no—
519C22×C3—128no—
520C22×C3—122no—
521C22×C3—122no—
522C22×C3#95012yes—
523C22×C3C3×#13512yes—
524C22×C3C22×#6711yescharacteristic
525C22×C3C22×C3×D411yescharacteristic
526C2×D3—24no—
527C2×D3—48no—
528C2×D3—42no—
529C2×D3—42no—
530C3×C4—21no—
531C3×C4—21no—
532C3×C4—21no—
533C3×C4—21no—
534C3×C4—21no—
535C3×C4—21no—
536C3×C4—21no—
537C3×C4—21no—
538C3×C4—22no—
539C3×C4—22no—
540C3×C4—41no—
541C3×C4—41no—
542C3×C4—41no—
543C3×C4—41no—
544C3×C4—42no—
545C3×C4—42no—
546C3×C4—42no—
547C3×C4—41no—
548C3×C4—41no—
549C3×C4—41no—
550C3×C4—41no—
551C3×C4—41no—
552C3×C4—41no—
553C3×C4—122no—
554C3×C4#94912yes—
555C3×C4C3×AGL(1,ℤ/8)12yes—
556C3×C4D3×#4112yes—
557C3×C4C2×C3×#4112yes—
558Dic3—42no—
559C32#310511yescharacteristic, complemented, Sylow
560C23—21no—
561C23—64no—
562C23—62no—
563C23—122no—
564C23—122no—
565C23C2×C3×#6711yescharacteristic
566Q8—22no—
567D4—22no—
568D4—34no—
569D4—42no—
570D4—64no—
571D4—62no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—42no—
579C2×C4—62no—
580C2×C4—124no—
581C2×C4—122no—
582C2×C4—124no—
583C2×C4C2×C3×#6711yescharacteristic
584C2×C4C2×C3×#6711yescharacteristic
585C2×C4C2×C3×#6711yescharacteristic
586C2×C4C2×C3×#6711yescharacteristic
587C2×C4C2×C3×#6711yescharacteristic
588C2×C4C23×C3×D311yescharacteristic
589C8—62no—
590C8—62no—
591C2×C3—22no—
592C2×C3—22no—
593C2×C3—21no—
594C2×C3—21no—
595C2×C3—21no—
596C2×C3—42no—
597C2×C3—82no—
598C2×C3—81no—
599C2×C3—81no—
600C2×C3—124no—
601C2×C3C2×#94911yescharacteristic
602C2×C3C2×#95011yescharacteristic
603C2×C3#582811yescharacteristic
604C2×C3C3×#52511yescharacteristic
605C2×C3C2×C3×#13511yescharacteristic
606C2×C3C2×C3×AGL(1,ℤ/8)11yescharacteristic
607D3—44no—
608C22—21no—
609C22—21no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—64no—
614C22—128no—
615C22—122no—
616C22—122no—
617C22C3×#95012yes—
618C22C22×C3×#6711yescharacteristic
619C4—21no—
620C4—21no—
621C4—21no—
622C4—21no—
623C4—41no—
624C4—41no—
625C4—41no—
626C4—122no—
627C4C3×#94912yes—
628C4C3×D3×#4112yes—
629C3—21no—
630C3#8314111yescharacteristic, direct product factor
631C3C3×#310511yescharacteristic, complemented
632C2—22no—
633C2—81no—
634C2—124no—
635C2C2×C3×#94911yescharacteristic
636C2C2×C3×#95011yescharacteristic
637C2C3×#582811yescharacteristic
subgroupG/H
centerC2×C3×C4C2×#67
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#529C2
socleC22×C32C22×D4
prime radicalC3×#5036C2
hypercenterC3×#529D3
hypocenterC3C3×#3105
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C3×C4 ◁ C2×C3×C42 ◁ C3×#529

Complements

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

NH ≅ G/Ntype
1. C32×#529C2semidirect
2. C2×C3×C4×D12C2semidirect
3. C3×#5066C2semidirect
4. C3×#5057C2semidirect
5. C3×#5046C2semidirect
6. C3×#5044C2semidirect
8. C3×#5034C2semidirect
9. C3×C4×#215C2semidirect
10. C3×C4×#213C2semidirect
11. C3×#4925C2semidirect
13. #83141C3direct (N × H)
17. C32×#125C22semidirect
18. C32×#124C22semidirect
22. C32×C4×Q8C22semidirect
24. C32×C4×D4C22semidirect
35. C3×#835C22semidirect
36. C3×#832C22semidirect
41. C3×#808C22semidirect
42. C3×#807C22semidirect
43. C3×C4⋊(C3⋊C8)C22semidirect
44. C3×C4×C3⋊C8C22semidirect
46. C3×#529D3semidirect
47. C3×#529C2×C3semidirect
49. C2×C4×D12C2×C3semidirect
59. #5066C2×C3semidirect
60. #5057C2×C3semidirect
61. #5046C2×C3semidirect
62. #5044C2×C3semidirect
64. #5034C2×C3semidirect
65. C4×#215C2×C3semidirect
66. C4×#213C2×C3semidirect
67. #4925C2×C3semidirect
118. C3×#125C2×D3semidirect
119. C3×#125C22×C3semidirect
121. C3×#124C2×D3semidirect
122. C3×#124C22×C3semidirect
133. C3×C4×Q8C2×D3semidirect
134. C3×C4×Q8C22×C3semidirect
143. C3×C4×D4C2×D3semidirect
144. C3×C4×D4C22×C3semidirect
171. #835C22×C3semidirect
172. #832C22×C3semidirect
177. #808C22×C3semidirect
178. #807C22×C3semidirect
179. C4⋊(C3⋊C8)C22×C3semidirect
180. C4×C3⋊C8C22×C3semidirect
212. #529C3×D3semidirect
350. #125C2×C3×D3semidirect
351. #124C2×C3×D3semidirect
355. C4×Q8C2×C3×D3semidirect
361. C4×D4C2×C3×D3semidirect
559. C32#3105semidirect
630. C3#83141direct (N × H)
631. C3C3×#3105semidirect

Maximal subgroups

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

subgroupindex
C32×#5292
C2×C3×C4×D122
C3×#50662
C3×#50572
C3×#50462
C3×#50442
C3×#50362
C3×#50342
C3×C4×#2152
C3×C4×#2132
C3×#49252
C3×#31053
#831413