Finite Group Databasebeta

← C3×#10590592 #13157609

Subgroups — C3×#10590592 #13157609

Order 1728.

962 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×D12C211yesmaximal, characteristic
2C32×#892C211yesmaximal, characteristic, complemented
3C2×C3×#3711C211yesmaximal, characteristic, complemented
4C3×#63636C211yesmaximal, characteristic, complemented
5C32×#809C211yesmaximal, characteristic, complemented
6C3×#63564C211yesmaximal, characteristic, complemented
7C3×#63562C211yesmaximal, characteristic, complemented
8C3×#5001—31nomaximal
9C3×#4770—31nomaximal
10#10590592C311yesmaximal, characteristic, direct product factor
11C22×C3×D32—21no—
12C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
13C2×C32×D12C2211yescharacteristic
14C2×C32×C4×D3C2211yescharacteristic
15C2×C3×#626—21no—
16C3×D3×D12—22no—
17C3×D3×D12C414yescomplemented
18C33×C4⋊C4C2211yescharacteristic, complemented
19C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
20C32×(C2×D3)⋊C4—21no—
21C32×C4⋊Dic3C2211yescharacteristic, complemented
22C32×C4×Dic3—21no—
23C2×C32×C3⋊C8C2211yescharacteristic, complemented
24C3×#3711—22no—
25C2×C3×D3×D4—31no—
26C22×C3×D12—31no—
27C2×D3×D12C2×C311yescharacteristic
28C32×#117—31no—
29C2×C3×#208—31no—
30C2×C3×ΓL(1,𝔽25)—31no—
31C3×#892—21no—
32C3×#892D311yescharacteristic, complemented
33C3×#892C2×C311yescharacteristic, complemented
34C2×#3711C2×C311yescharacteristic, complemented
35C32×#102—31no—
36#63636C2×C311yescharacteristic, complemented
37C3×#832—31no—
38C3×#821—31no—
39C3×#809—21no—
40C3×#809—31no—
41C3×#809—31no—
42C3×#809—31no—
43C3×#809—31no—
44C3×#809—61no—
45C3×#809D311yescharacteristic, complemented
46C3×#809C2×C311yescharacteristic, complemented
47#63564C2×C311yescharacteristic, complemented
48#63562C2×C311yescharacteristic, complemented
49C22×C3×C3⋊D3—21no—
50C22×C32×D3—21no—
51C22×C32×D3D411yescharacteristic
52C2×C3×D32—24no—
53C2×C3×D32—42no—
54C2×C3×D32—42no—
55C2×C33×C4—21no—
56C2×C33×C4C2311yescharacteristic
57C3×C4⋊(C3⋊D3)—21no—
58C3×C4⋊(C3⋊D3)C2×C412yes—
59C2×C32×Dic3—21no—
60C2×C32×Dic3D411yescharacteristic
61C32×D12—21no—
62C32×D12C2×C412yes—
63C32×C4×D3C2×C412yes—
64C32×C4×D3D412yes—
65C3×#626—24no—
66C3×C3⋊(C3⋊C8)—21no—
67C32×C3⋊C8—21no—
68C3×#418—91no—
69#5001—31no—
70#4770—31no—
71C23×C3×D3—61no—
72C23×C3×D3—61no—
73C22×D32—21no—
74C2×C32×D4—31no—
75C22×C32×C4—31no—
76C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
77C2×C3×#67—61no—
78C3×D3×D4—34no—
79C3×D3×D4—62no—
80C2×C3×D12—21no—
81C2×C3×D12—31no—
82C2×C3×D12—31no—
83C2×C3×D12—34no—
84C2×C3×D12—62no—
85C2×C3×D12—61no—
86C2×C3×D12—61no—
87C2×C3×D12C2×D311yescharacteristic
88C2×C3×D12C22×C311yescharacteristic
89C2×C3×C4×D3—21no—
90C2×C3×C4×D3C2×D311yescharacteristic
91C2×C3×C4×D3C22×C311yescharacteristic
92C2×#626—21no—
93D3×D12—22no—
94D3×D12C3×C414yescomplemented
95C2×C32×C8—31no—
96C32×C4⋊C4—21no—
97C32×C4⋊C4—21no—
98C32×C4⋊C4—21no—
99C32×C4⋊C4—31no—
100C32×C4⋊C4—41no—
101C32×C4⋊C4C2×D311yescharacteristic, complemented
102C32×C4⋊C4C2×D311yescharacteristic, complemented
103C32×C4⋊C4C22×C311yescharacteristic, complemented
104C32×C22⋊C4—61no—
105C32×C42—61no—
106C2×C3⋊(C3⋊C8)C22×C311yescharacteristic, complemented
107C3×(C2×D3)⋊C4—22no—
108C3×(C2×D3)⋊C4—21no—
109C3×(C2×D3)⋊C4—21no—
110C3×C4⋊Dic3—21no—
111C3×C4⋊Dic3C2×D311yescharacteristic, complemented
112C3×C4⋊Dic3C22×C311yescharacteristic, complemented
113C3×C4×Dic3—22no—
114C3×C4×Dic3—21no—
115C3×C4×Dic3—21no—
116C3×#208—62no—
117C2×C3×C3⋊C8—21no—
118C2×C3×C3⋊C8—31no—
119C2×C3×C3⋊C8—31no—
120C2×C3×C3⋊C8—61no—
121C2×C3×C3⋊C8C2×D311yescharacteristic, complemented
122C2×C3×C3⋊C8C22×C311yescharacteristic, complemented
123C3×ΓL(1,𝔽25)—62no—
124#3711—22no—
125C22×C33C2×D411yescharacteristic
126C2×C3×C3⋊D3—22no—
127C2×C3×C3⋊D3—41no—
128C2×C3×C3⋊D3—41no—
129C2×C32×D3—21no—
130C2×C32×D3—21no—
131C2×C32×D3—22no—
132C2×C32×D3—41no—
133C2×C32×D3—41no—
134C2×C32×D3C22⋊C412yes—
135C3×D32—48no—
136C33×C4—41no—
137C33×C4C22×C411yescharacteristic
138C33×C4C2×D411yescharacteristic
139C32×Dic3—41no—
140C32×Dic3C22⋊C412yes—
141C22×C3×D4—91no—
142C2×D3×D4—31no—
143C22×D12—31no—
144C2×C3×M16—91no—
145C3×#117—31no—
146C3×#117—31no—
147C3×#117—61no—
148C2×#208—31no—
149C2×ΓL(1,𝔽25)—31no—
150#892C3×D311yescharacteristic, complemented
151C3×#102—31no—
152C3×#102—31no—
153C3×#102—61no—
154C3×#102—91no—
155C3×#102—91no—
156C3×#102—91no—
157#832—31no—
158#821—31no—
159#809—31no—
160#809—31no—
161#809—31no—
162#809—31no—
163#809—61no—
164#809C3×D311yescharacteristic, complemented
165C23×C32—31no—
166C23×C32—61no—
167C22×C3⋊D3—21no—
168C22×C3×D3—21no—
169C22×C3×D3—21no—
170C22×C3×D3—21no—
171C22×C3×D3—41no—
172C22×C3×D3—64no—
173C22×C3×D3—61no—
174C22×C3×D3—61no—
175C22×C3×D3—64no—
176C22×C3×D3—121no—
177C22×C3×D3—122no—
178C22×C3×D3—122no—
179C22×C3×D3—122no—
180C22×C3×D3—122no—
181C22×C3×D3#6711yescharacteristic
182C22×C3×D3C3×D411yescharacteristic
183C2×D32—24no—
184C2×D32—42no—
185C2×D32—42no—
186C32×D4—32no—
187C32×D4—61no—
188C2×C32×C4—21no—
189C2×C32×C4—22no—
190C2×C32×C4—21no—
191C2×C32×C4—21no—
192C2×C32×C4—21no—
193C2×C32×C4—21no—
194C2×C32×C4—21no—
195C2×C32×C4—31no—
196C2×C32×C4—32no—
197C2×C32×C4—32no—
198C2×C32×C4—41no—
199C2×C32×C4—41no—
200C2×C32×C4—41no—
201C2×C32×C4—42no—
202C2×C32×C4—61no—
203C2×C32×C4C22×D311yescharacteristic
204C2×C32×C4C22×D311yescharacteristic
205C2×C32×C4C23×C311yescharacteristic
206C4⋊(C3⋊D3)—21no—
207C4⋊(C3⋊D3)C2×C3×C412yes—
208C3×#67—64no—
209C2×C3×Dic3—22no—
210C2×C3×Dic3—21no—
211C2×C3×Dic3—21no—
212C2×C3×Dic3—21no—
213C2×C3×Dic3#6711yescharacteristic
214C2×C3×Dic3C3×D411yescharacteristic
215C3×D12—21no—
216C3×D12—21no—
217C3×D12—22no—
218C3×D12—32no—
219C3×D12—32no—
220C3×D12—41no—
221C3×D12—62no—
222C3×D12—64no—
223C3×D12—61no—
224C3×D12—61no—
225C3×D12—121no—
226C3×D12C4×D312yes—
227C3×D12C2×C3×C412yes—
228C3×C4×D3—22no—
229C3×C4×D3—22no—
230C3×C4×D3C4×D312yes—
231C3×C4×D3D1212yes—
232C3×C4×D3C2×C3×C412yes—
233C3×C4×D3C3×D412yes—
234#626—24no—
235C32×C8—61no—
236C3⋊(C3⋊C8)—21no—
237C3×C3⋊C8—21no—
238C3×C3⋊C8—21no—
239C3×C3⋊C8—41no—
240C3×C3⋊C8—61no—
241C3×C3⋊C8—61no—
242C3×C3⋊C8—121no—
243#418—91noSylow
244C2×C33C2×C22⋊C411yescharacteristic
245C2×C33AGL(1,ℤ/8)11yescharacteristic
246C2×C33AGL(1,ℤ/8)11yescharacteristic
247C3×C3⋊D3—42no—
248C32×D3—22no—
249C32×D3—42no—
250C24×C3—181no—
251C23×D3—61no—
252C23×D3—61no—
253C2×C3×D4—31no—
254C2×C3×D4—31no—
255C2×C3×D4—61no—
256C2×C3×D4—94no—
257C2×C3×D4—91no—
258C2×C3×D4—182no—
259C2×C3×D4—181no—
260C22×C3×C4—31no—
261C22×C3×C4—31no—
262C22×C3×C4—61no—
263C2×#67—61no—
264D3×D4—34no—
265D3×D4—62no—
266C2×D12—31no—
267C2×D12—31no—
268C2×D12—34no—
269C2×D12—61no—
270C2×D12—62no—
271C2×D12—61no—
272C2×D12C2×C3×D311yescharacteristic
273C2×C4×D3C2×C3×D311yescharacteristic
274C3×M16—182no—
275C2×C3×C8—31no—
276C2×C3×C8—31no—
277C2×C3×C8—61no—
278C2×C3×C8—91no—
279C3×C4⋊C4—21no—
280C3×C4⋊C4—21no—
281C3×C4⋊C4—21no—
282C3×C4⋊C4—31no—
283C3×C4⋊C4—31no—
284C3×C4⋊C4—41no—
285C3×C4⋊C4—61no—
286C3×C4⋊C4D3211yescharacteristic, complemented
287C3×C4⋊C4C2×C3×D311yescharacteristic, complemented
288C3×C4⋊C4C2×C3×D311yescharacteristic, complemented
289C3×C22⋊C4—61no—
290C3×C22⋊C4—61no—
291C3×C22⋊C4—62no—
292C3×C42—61no—
293C3×C42—61no—
294C3×C42—62no—
295(C2×D3)⋊C4—21no—
296C4⋊Dic3C2×C3×D311yescharacteristic, complemented
297C4×Dic3—21no—
298#208—62no—
299C2×C3⋊C8—31no—
300C2×C3⋊C8—31no—
301C2×C3⋊C8—61no—
302C2×C3⋊C8C2×C3×D311yescharacteristic, complemented
303ΓL(1,𝔽25)—62no—
304C22×C32—21no—
305C22×C32—21no—
306C22×C32—21no—
307C22×C32—32no—
308C22×C32—41no—
309C22×C32—61no—
310C22×C32—61no—
311C22×C32—62no—
312C22×C32—121no—
313C22×C32—121no—
314C22×C32D3×D411yescharacteristic
315C22×C32C2×#6711yescharacteristic
316C22×C32C2×C3×D411yescharacteristic
317C2×C3⋊D3—22no—
318C2×C3⋊D3—41no—
319C2×C3⋊D3—41no—
320C2×C3×D3—21no—
321C2×C3×D3—21no—
322C2×C3×D3—21no—
323C2×C3×D3—21no—
324C2×C3×D3—22no—
325C2×C3×D3—22no—
326C2×C3×D3—22no—
327C2×C3×D3—41no—
328C2×C3×D3—41no—
329C2×C3×D3—42no—
330C2×C3×D3—41no—
331C2×C3×D3—41no—
332C2×C3×D3—41no—
333C2×C3×D3—41no—
334C2×C3×D3—62no—
335C2×C3×D3—62no—
336C2×C3×D3—81no—
337C2×C3×D3—81no—
338C2×C3×D3—122no—
339C2×C3×D3—128no—
340C2×C3×D3—128no—
341C2×C3×D3—121no—
342C2×C3×D3—121no—
343C2×C3×D3—121no—
344C2×C3×D3—121no—
345C2×C3×D3—241no—
346C2×C3×D3—241no—
347C2×C3×D3(C2×D3)⋊C412yes—
348C2×C3×D3C3×C22⋊C412yes—
349D32—48no—
350C32×C4—21no—
351C32×C4—21no—
352C32×C4—21no—
353C32×C4—21no—
354C32×C4—21no—
355C32×C4—21no—
356C32×C4—32no—
357C32×C4—41no—
358C32×C4—41no—
359C32×C4—41no—
360C32×C4—42no—
361C32×C4—41no—
362C32×C4—41no—
363C32×C4—81no—
364C32×C4—81no—
365C32×C4—82no—
366C32×C4—121no—
367C32×C4C2×C4×D311yescharacteristic
368C32×C4C2×C4×D311yescharacteristic
369C32×C4C2×D1211yescharacteristic
370C32×C4D3×D411yescharacteristic
371C32×C4C22×C3×C411yescharacteristic
372C32×C4C2×C3×D411yescharacteristic
373C3×Dic3—22no—
374C3×Dic3—42no—
375C3×Dic3—41no—
376C3×Dic3—41no—
377C3×Dic3(C2×D3)⋊C412yes—
378C3×Dic3C3×C22⋊C412yes—
379C22×D4—91no—
380C2×M16—91no—
381#117—31no—
382#102—31no—
383#102—91no—
384#102—91no—
385#102—91no—
386C33#41811yescharacteristic, complemented, Sylow
387C23×C3—31no—
388C23×C3—31no—
389C23×C3—61no—
390C23×C3—61no—
391C23×C3—61no—
392C23×C3—121no—
393C23×C3—184no—
394C23×C3—181no—
395C23×C3—362no—
396C23×C3—362no—
397C22×D3—21no—
398C22×D3—64no—
399C22×D3—61no—
400C22×D3—61no—
401C22×D3—64no—
402C22×D3—121no—
403C22×D3—122no—
404C22×D3—122no—
405C22×D3—122no—
406C22×D3—122no—
407C22×D3C3×#6711yescharacteristic
408C3×D4—32no—
409C3×D4—32no—
410C3×D4—62no—
411C3×D4—61no—
412C3×D4—61no—
413C3×D4—92no—
414C3×D4—121no—
415C3×D4—184no—
416C3×D4—181no—
417C2×C3×C4—22no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—31no—
425C2×C3×C4—31no—
426C2×C3×C4—32no—
427C2×C3×C4—32no—
428C2×C3×C4—32no—
429C2×C3×C4—32no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4—42no—
433C2×C3×C4—41no—
434C2×C3×C4—62no—
435C2×C3×C4—62no—
436C2×C3×C4—61no—
437C2×C3×C4—62no—
438C2×C3×C4—61no—
439C2×C3×C4—61no—
440C2×C3×C4C2×D3211yescharacteristic
441C2×C3×C4C22×C3×D311yescharacteristic
442C2×C3×C4C22×C3×D311yescharacteristic
443#67—64no—
444C2×Dic3—21no—
445C2×Dic3C3×#6711yescharacteristic
446D12—21no—
447D12—32no—
448D12—32no—
449D12—62no—
450D12—64no—
451D12—61no—
452D12—61no—
453D12—121no—
454D12C3×C4×D312yes—
455C4×D3C3×C4×D312yes—
456C4×D3C3×D1212yes—
457C3×C8—61no—
458C3×C8—61no—
459C3×C8—121no—
460C3×C8—181no—
461C3⋊C8—21no—
462C3⋊C8—61no—
463C3⋊C8—61no—
464C3⋊C8—121no—
465C2×C32—21no—
466C2×C32—21no—
467C2×C32—21no—
468C2×C32—21no—
469C2×C32—21no—
470C2×C32—21no—
471C2×C32—21no—
472C2×C32—21no—
473C2×C32—21no—
474C2×C32—41no—
475C2×C32—41no—
476C2×C32—41no—
477C2×C32—62no—
478C2×C32—122no—
479C2×C32D3×C22⋊C411yescharacteristic
480C2×C32#91111yescharacteristic
481C2×C32#91411yescharacteristic
482C2×C32C2×(C2×D3)⋊C411yescharacteristic
483C2×C32#94911yescharacteristic
484C2×C32#94911yescharacteristic
485C2×C32C2×C3×C22⋊C411yescharacteristic
486C2×C32C3×AGL(1,ℤ/8)11yescharacteristic
487C2×C32C3×AGL(1,ℤ/8)11yescharacteristic
488C3⋊D3—42no—
489C3×D3—22no—
490C3×D3—22no—
491C3×D3—42no—
492C3×D3—42no—
493C3×D3—42no—
494C3×D3—82no—
495C3×D3—122no—
496C3×D3—122no—
497C3×D3—242no—
498C24—181no—
499C2×D4—31no—
500C2×D4—94no—
501C2×D4—91no—
502C2×D4—182no—
503C2×D4—181no—
504C22×C4—31no—
505M16—182no—
506C2×C8—31no—
507C2×C8—91no—
508C4⋊C4—31no—
509C4⋊C4C3×D3211yescharacteristic, complemented
510C22⋊C4—61no—
511C42—61no—
512C22×C3—21no—
513C22×C3—21no—
514C22×C3—21no—
515C22×C3—32no—
516C22×C3—32no—
517C22×C3—41no—
518C22×C3—62no—
519C22×C3—61no—
520C22×C3—61no—
521C22×C3—61no—
522C22×C3—61no—
523C22×C3—62no—
524C22×C3—62no—
525C22×C3—121no—
526C22×C3—121no—
527C22×C3—122no—
528C22×C3—121no—
529C22×C3—121no—
530C22×C3—121no—
531C22×C3—121no—
532C22×C3—182no—
533C22×C3—241no—
534C22×C3—241no—
535C22×C3—368no—
536C22×C3—361no—
537C22×C3—361no—
538C22×C3D3×#6711yescharacteristic
539C22×C3C3×D3×D411yescharacteristic
540C22×C3C2×C3×#6711yescharacteristic
541C2×D3—21no—
542C2×D3—21no—
543C2×D3—22no—
544C2×D3—41no—
545C2×D3—41no—
546C2×D3—62no—
547C2×D3—62no—
548C2×D3—122no—
549C2×D3—128no—
550C2×D3—128no—
551C2×D3—121no—
552C2×D3—121no—
553C2×D3—121no—
554C2×D3—121no—
555C2×D3—241no—
556C2×D3—241no—
557C2×D3C3×(C2×D3)⋊C412yes—
558C3×C4—21no—
559C3×C4—21no—
560C3×C4—21no—
561C3×C4—21no—
562C3×C4—21no—
563C3×C4—21no—
564C3×C4—32no—
565C3×C4—32no—
566C3×C4—42no—
567C3×C4—41no—
568C3×C4—41no—
569C3×C4—41no—
570C3×C4—41no—
571C3×C4—41no—
572C3×C4—62no—
573C3×C4—81no—
574C3×C4—81no—
575C3×C4—82no—
576C3×C4—122no—
577C3×C4—121no—
578C3×C4—121no—
579C3×C4C4×D3211yescharacteristic
580C3×C4D3×D1211yescharacteristic
581C3×C4C2×C3×C4×D311yescharacteristic
582C3×C4C2×C3×C4×D311yescharacteristic
583C3×C4C2×C3×D1211yescharacteristic
584C3×C4C3×D3×D411yescharacteristic
585Dic3—41no—
586Dic3C3×(C2×D3)⋊C412yes—
587C32—21no—
588C32—21no—
589C32—21no—
590C32—41no—
591C32#477011yescharacteristic, complemented
592C32#500111yescharacteristic, complemented
593C32C3×#41811yescharacteristic, complemented
594C23—31no—
595C23—61no—
596C23—184no—
597C23—181no—
598C23—362no—
599C23—362no—
600D4—32no—
601D4—61no—
602D4—92no—
603D4—184no—
604D4—181no—
605C2×C4—21no—
606C2×C4—31no—
607C2×C4—32no—
608C2×C4—32no—
609C2×C4—61no—
610C2×C4C2×C3×D3211yescharacteristic
611C8—61no—
612C8—181no—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—21no—
618C2×C3—21no—
619C2×C3—21no—
620C2×C3—21no—
621C2×C3—21no—
622C2×C3—41no—
623C2×C3—41no—
624C2×C3—41no—
625C2×C3—62no—
626C2×C3—62no—
627C2×C3—122no—
628C2×C3—122no—
629C2×C3—122no—
630C2×C3—242no—
631C2×C3—362no—
632C2×C3D3×(C2×D3)⋊C411yescharacteristic
633C2×C3#6392511yescharacteristic
634C2×C3#6393911yescharacteristic
635C2×C3C3×D3×C22⋊C411yescharacteristic
636C2×C3C3×#91111yescharacteristic
637C2×C3C3×#91411yescharacteristic
638C2×C3C2×C3×(C2×D3)⋊C411yescharacteristic
639C2×C3C3×#94911yescharacteristic
640C2×C3C3×#94911yescharacteristic
641D3—22no—
642D3—42no—
643D3—122no—
644D3—122no—
645D3—242no—
646C22—32no—
647C22—61no—
648C22—61no—
649C22—62no—
650C22—121no—
651C22—121no—
652C22—182no—
653C22—368no—
654C22—361no—
655C22—361no—
656C22C3×D3×#6711yescharacteristic
657C4—32no—
658C4—41no—
659C4—121no—
660C4C3×C4×D3211yescharacteristic
661C4C3×D3×D1211yescharacteristic
662C3—21no—
663C3—21no—
664C3—21no—
665C3—41no—
666C3#1059059211yescharacteristic, direct product factor
667C3C3×#477011yescharacteristic, complemented
668C3C3×#500111yescharacteristic, complemented
669C2—62no—
670C2—122no—
671C2—362no—
672C2C3×D3×(C2×D3)⋊C411yescharacteristic
673C2C3×#6392511yescharacteristic
674C2C3×#6393911yescharacteristic
subgroupG/H
centerC22×C3D3×#67
commutatorC32×C4C22×C3×C4
FrattiniC2×C4C2×C3×D32
FittingC33×C4⋊C4C22
socleC22×C33C2×D4
prime radicalC2×C3×D3×D12C2
cosocleC2×C32×C4C23×C3
hypercenterC3×C4⋊C4D32
hypocenterC32C3×#418
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×C4 ◁ C3×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C32×#892C2semidirect
3. C2×C3×#3711C2semidirect
4. C3×#63636C2semidirect
5. C32×#809C2semidirect
6. C3×#63564C2semidirect
7. C3×#63562C2semidirect
10. #10590592C3direct (N × H)
17. C3×D3×D12C4semidirect
18. C33×C4⋊C4C22semidirect
19. C2×C3×C3⋊(C3⋊C8)C22semidirect
21. C32×C4⋊Dic3C22semidirect
23. C2×C32×C3⋊C8C22semidirect
32. C3×#892D3semidirect
33. C3×#892C2×C3semidirect
34. C2×#3711C2×C3semidirect
36. #63636C2×C3semidirect
45. C3×#809D3semidirect
46. C3×#809C2×C3semidirect
47. #63564C2×C3semidirect
48. #63562C2×C3semidirect
94. D3×D12C3×C4semidirect
101. C32×C4⋊C4C2×D3semidirect
102. C32×C4⋊C4C2×D3semidirect
103. C32×C4⋊C4C22×C3semidirect
106. C2×C3⋊(C3⋊C8)C22×C3semidirect
111. C3×C4⋊Dic3C2×D3semidirect
112. C3×C4⋊Dic3C22×C3semidirect
121. C2×C3×C3⋊C8C2×D3semidirect
122. C2×C3×C3⋊C8C22×C3semidirect
150. #892C3×D3semidirect
164. #809C3×D3semidirect
286. C3×C4⋊C4D32semidirect
287. C3×C4⋊C4C2×C3×D3semidirect
288. C3×C4⋊C4C2×C3×D3semidirect
296. C4⋊Dic3C2×C3×D3semidirect
302. C2×C3⋊C8C2×C3×D3semidirect
386. C33#418semidirect
509. C4⋊C4C3×D32semidirect
591. C32#4770semidirect
592. C32#5001semidirect
593. C32C3×#418semidirect
666. C3#10590592direct (N × H)
667. C3C3×#4770semidirect
668. C3C3×#5001semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×D122
C32×#8922
C2×C3×#37112
C3×#636362
C32×#8092
C3×#635642
C3×#635622
C3×#50013
C3×#47703
#105905923