Finite Group Databasebeta

← C3×#10596277 #13179557

Subgroups — C3×#10596277 #13179557

Order 1728.

2948 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C33×D4C211yesmaximal, characteristic, complemented
2C2×C3×#3830C211yesmaximal, characteristic, complemented
3C3×#64162C212yesmaximal, complemented
4C2×C3×#3757C212yesmaximal, complemented
5C3×#64148C212yesmaximal, complemented
6C3×#64147C211yesmaximal, characteristic, complemented
7C3×#64145C211yesmaximal, characteristic, complemented
8C3×#64144C212yesmaximal, complemented
9C3×D4×C3⋊Dic3C211yesmaximal, characteristic, complemented
10C3×C4×#638C211yesmaximal, characteristic, complemented
11C3×#64133C211yesmaximal, characteristic, complemented
12#10596277C311yesmaximal, characteristic, direct product factor
13C3×#5806—34nomaximal
14C24×C33C2212yes—
15C2×C33×D4—24no—
16C2×C33×D4C2212yes—
17C2×C33×D4C2211yescharacteristic
18C2×C33×D4C2211yescharacteristic
19C22×C33×C4C2211yescharacteristic
20C2×C3×#638C2211yescharacteristic
21C2×C3×#638C2212yescomplemented
22C2×C3×#638C2212yescomplemented
23C22×C3×C3⋊Dic3C2212yescomplemented
24C22×C3×C3⋊Dic3C2212yescomplemented
25C3×#3830—24no—
26C2×C3×C4×C3⋊D3C2211yescharacteristic, complemented
27C2×C3×#634C2211yescharacteristic, complemented
28C3×#3757C2212yes—
29C3×#3757C2211yescharacteristic
30C3×#3757C2212yescomplemented
31C3×#3757C2212yescomplemented
32C3×#3757C2212yescomplemented
33C3×#3757C2212yescomplemented
34C3×#3752C2211yescharacteristic, complemented
35C3×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
36C3×#3750C2212yescomplemented
37C3×#3750C2211yescharacteristic, complemented
38C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
39C22×C32×D4—24no—
40C22×C32×D4D314yescomplemented
41C22×C32×D4C2×C311yescharacteristic, complemented
42C2×#3830C2×C311yescharacteristic, complemented
43C2×C3×#237—34no—
44#64162C2×C312yescomplemented
45C2×#3757C2×C312yescomplemented
46#64148C2×C312yescomplemented
47#64147C2×C311yescharacteristic, complemented
48#64145C2×C311yescharacteristic, complemented
49#64144C2×C312yescomplemented
50D4×C3⋊Dic3C2×C311yescharacteristic, complemented
51C4×#638C2×C311yescharacteristic, complemented
52#64133C2×C311yescharacteristic, complemented
53C3×#953—38no—
54C2×C3×#217—38no—
55C3×#939—38no—
56C3×#938—34no—
57C3×#936—34no—
58C3×#935—38no—
59C3×D4×Dic3—34no—
60C3×C4×#67—34no—
61C3×#924—34no—
62C23×C33—24no—
63C23×C33—24no—
64C23×C33—42no—
65C23×C33C2312yes—
66C23×C33C2312yes—
67C23×C33C2311yescharacteristic
68C22×C3×C3⋊D3C2311yescharacteristic
69C33×D4—24no—
70C33×D4—22no—
71C33×D4D414yescomplemented
72C2×C33×C4—22no—
73C2×C33×C4C2311yescharacteristic
74C2×C33×C4C2311yescharacteristic
75C3×#638—24no—
76C3×#638—22no—
77C3×#638—42no—
78C2×C3×C3⋊Dic3—24no—
79C2×C3×C3⋊Dic3—42no—
80C2×C3×C3⋊Dic3C2311yescharacteristic
81C2×C3×C3⋊Dic3C2311yescharacteristic
82C2×C3×C3⋊Dic3C2312yes—
83C2×C3×C3⋊Dic3C2312yes—
84C2×C3×C3⋊Dic3C2311yescharacteristic
85C3×C4×C3⋊D3—22no—
86C3×#634—22no—
87C3×#546—91no—
88#5806—34no—
89C24×C32—28no—
90C24×C32C2×D318yes—
91C24×C32C22×C312yes—
92C2×C32×D4—232no—
93C2×C32×D4—28no—
94C2×C32×D4—24no—
95C2×C32×D4—24no—
96C2×C32×D4—216no—
97C2×C32×D4—24no—
98C2×C32×D4C2×D318yes—
99C2×C32×D4C2×D314yes—
100C2×C32×D4C2×D314yes—
101C2×C32×D4C22×C312yes—
102C2×C32×D4C22×C311yescharacteristic
103C2×C32×D4C22×C311yescharacteristic
104C22×C32×C4—24no—
105C22×C32×C4C2×D314yes—
106C22×C32×C4C22×C311yescharacteristic
107C2×#638C22×C311yescharacteristic
108C2×#638C22×C312yescomplemented
109C2×#638C22×C312yescomplemented
110C22×C3⋊Dic3C22×C312yescomplemented
111C22×C3⋊Dic3C22×C312yescomplemented
112#3830—24no—
113C2×C4×C3⋊D3C22×C311yescharacteristic, complemented
114C2×#634C22×C311yescharacteristic, complemented
115C2×C3×#67—34no—
116C2×C3×#67—38no—
117C2×C3×#67—38no—
118C22×C3×Dic3—38no—
119C22×C3×Dic3—38no—
120C3×#237—616no—
121C2×C3×C4×D3—34no—
122C2×C3×Dic6—34no—
123#3757C22×C312yes—
124#3757C22×C311yescharacteristic
125#3757C22×C312yescomplemented
126#3757C22×C312yescomplemented
127#3757C22×C312yescomplemented
128#3757C22×C312yescomplemented
129#3752C22×C311yescharacteristic, complemented
130C4⋊(C3⋊Dic3)C22×C311yescharacteristic, complemented
131#3750C22×C312yescomplemented
132#3750C22×C311yescharacteristic, complemented
133C4×C3⋊Dic3C22×C311yescharacteristic, complemented
134C3×#217—38no—
135C3×#217—34no—
136C3×#217—38no—
137C3×#217—38no—
138C3×#217—38no—
139C3×#217—38no—
140C3×(C2×D3)⋊C4—34no—
141C3×C4⋊Dic3—34no—
142C3×Dic3⋊C4—38no—
143C3×Dic3⋊C4—34no—
144C3×C4×Dic3—34no—
145C22×C33—21no—
146C22×C33—22no—
147C22×C33—21no—
148C22×C33—22no—
149C22×C33—22no—
150C22×C33—22no—
151C22×C33—22no—
152C22×C33—48no—
153C22×C33C2×D414yes—
154C22×C33#4112yescomplemented
155C22×C33C2411yescharacteristic
156C2×C3×C3⋊D3—21no—
157C2×C3×C3⋊D3—21no—
158C2×C3×C3⋊D3—21no—
159C33×C4—21no—
160C33×C4C2×D412yes—
161C3×C3⋊Dic3—22no—
162C3×C3⋊Dic3—21no—
163C3×C3⋊Dic3—21no—
164C3×C3⋊Dic3—21no—
165C3×C3⋊Dic3—22no—
166C2×C3×#41—91no—
167C22×C3×D4—24no—
168C22×C3×D4C3×D314yescomplemented
169C22×C3×D4C3⋊D311yescharacteristic, complemented
170C2×#237—34no—
171C3×#124—91no—
172C3×#123—92no—
173C3×C22⋊Q8—91no—
174C3×#121—91no—
175C3×#121—92no—
176C3×#120—92no—
177C3×C4×D4—91no—
178C3×C4×D4—91no—
179C2×C3×C22⋊C4—92no—
180#953—38no—
181C2×#217—38no—
182#939—38no—
183#938—34no—
184#936—34no—
185#935—38no—
186D4×Dic3—34no—
187C4×#67—34no—
188#924—34no—
189C23×C32—232no—
190C23×C32—216no—
191C23×C32—24no—
192C23×C32—24no—
193C23×C32—24no—
194C23×C32—28no—
195C23×C32—28no—
196C23×C32—216no—
197C23×C32—416no—
198C23×C32—48no—
199C23×C32—42no—
200C23×C32—416no—
201C23×C32C22×D318yes—
202C23×C32C22×D314yes—
203C23×C32C22×D318yes—
204C23×C32C23×C312yes—
205C23×C32C23×C312yes—
206C23×C32C23×C311yescharacteristic
207C22×C3⋊D3C23×C311yescharacteristic
208C22×C3×D3—34no—
209C32×D4—232no—
210C32×D4—216no—
211C32×D4—216no—
212C32×D4—24no—
213C32×D4—28no—
214C32×D4—22no—
215C32×D4—216no—
216C32×D4#67116yescomplemented
217C32×D4C3×D414yescomplemented
218C2×C32×C4—216no—
219C2×C32×C4—28no—
220C2×C32×C4—22no—
221C2×C32×C4—24no—
222C2×C32×C4—24no—
223C2×C32×C4C22×D314yes—
224C2×C32×C4C22×D314yes—
225C2×C32×C4C23×C311yescharacteristic
226C2×C32×C4C23×C311yescharacteristic
227#638—24no—
228#638—22no—
229#638—42no—
230C2×C3⋊Dic3—24no—
231C2×C3⋊Dic3—42no—
232C2×C3⋊Dic3C23×C311yescharacteristic
233C2×C3⋊Dic3C23×C311yescharacteristic
234C2×C3⋊Dic3C23×C312yes—
235C2×C3⋊Dic3C23×C312yes—
236C2×C3⋊Dic3C23×C311yescharacteristic
237C4×C3⋊D3—22no—
238#634—22no—
239C3×#67—68no—
240C3×#67—616no—
241C3×#67—128no—
242C2×C3×Dic3—34no—
243C2×C3×Dic3—34no—
244C2×C3×Dic3—38no—
245C2×C3×Dic3—38no—
246C2×C3×Dic3—34no—
247C2×C3×Dic3—616no—
248C2×C3×Dic3—128no—
249C3×C4×D3—68no—
250C3×Dic6—68no—
251#546—91noSylow
252C2×C33—22no—
253C2×C33—24no—
254C2×C33—42no—
255C2×C33C22×D411yescharacteristic
256C2×C33C2×#4111yescharacteristic
257C2×C33H(5,𝔽2)11yescharacteristic
258C3×C3⋊D3—41no—
259C24×C3—28no—
260C24×C3C2×C3×D318yes—
261C24×C3C2×C3⋊D312yes—
262C3×#41—184no—
263C2×C3×Q8—91no—
264C2×C3×D4—232no—
265C2×C3×D4—216no—
266C2×C3×D4—24no—
267C2×C3×D4—28no—
268C2×C3×D4—24no—
269C2×C3×D4—24no—
270C2×C3×D4—91no—
271C2×C3×D4—92no—
272C2×C3×D4—92no—
273C2×C3×D4C2×C3×D318yes—
274C2×C3×D4C2×C3×D314yes—
275C2×C3×D4C2×C3×D314yes—
276C2×C3×D4C2×C3⋊D312yes—
277C2×C3×D4C2×C3⋊D311yescharacteristic
278C2×C3×D4C2×C3⋊D311yescharacteristic
279C22×C3×C4—24no—
280C22×C3×C4—92no—
281C22×C3×C4—92no—
282C22×C3×C4—91no—
283C22×C3×C4C2×C3×D314yes—
284C22×C3×C4C2×C3⋊D311yescharacteristic
285C2×#67—34no—
286C2×#67—38no—
287C2×#67—38no—
288C22×Dic3—38no—
289C22×Dic3—38no—
290#237—616no—
291C2×C4×D3—34no—
292C2×Dic6—34no—
293C3×C4⋊C4—91no—
294C3×C4⋊C4—92no—
295C3×C4⋊C4—91no—
296C3×C22⋊C4—91no—
297C3×C22⋊C4—92no—
298C3×C22⋊C4—92no—
299C3×C22⋊C4—92no—
300C3×C22⋊C4—92no—
301C3×C22⋊C4—92no—
302C3×C22⋊C4—91no—
303C3×C42—91no—
304#217—38no—
305#217—34no—
306#217—38no—
307#217—38no—
308#217—38no—
309#217—38no—
310(C2×D3)⋊C4—34no—
311C4⋊Dic3—34no—
312Dic3⋊C4—38no—
313Dic3⋊C4—34no—
314C4×Dic3—34no—
315C22×C32—28no—
316C22×C32—28no—
317C22×C32—24no—
318C22×C32—24no—
319C22×C32—21no—
320C22×C32—22no—
321C22×C32—22no—
322C22×C32—21no—
323C22×C32—216no—
324C22×C32—28no—
325C22×C32—22no—
326C22×C32—22no—
327C22×C32—22no—
328C22×C32—24no—
329C22×C32—28no—
330C22×C32—216no—
331C22×C32—28no—
332C22×C32—28no—
333C22×C32—28no—
334C22×C32—28no—
335C22×C32—48no—
336C22×C32—48no—
337C22×C32—48no—
338C22×C32—48no—
339C22×C32—48no—
340C22×C32—432no—
341C22×C32—464no—
342C22×C32#23718yescomplemented
343C22×C32C2×#67116yes—
344C22×C32C2×C3×D414yes—
345C22×C32C3×#4112yescomplemented
346C22×C32C23×D314yes—
347C22×C32C24×C311yescharacteristic
348C2×C3⋊D3—21no—
349C2×C3⋊D3—21no—
350C2×C3⋊D3—21no—
351C2×C3×D3—64no—
352C2×C3×D3—64no—
353C2×C3×D3—64no—
354C32×C4—28no—
355C32×C4—24no—
356C32×C4—21no—
357C32×C4—28no—
358C32×C4C2×#6718yes—
359C32×C4C2×C3×D412yes—
360C3⋊Dic3—22no—
361C3⋊Dic3—21no—
362C3⋊Dic3—21no—
363C3⋊Dic3—21no—
364C3⋊Dic3—22no—
365C3×Dic3—64no—
366C3×Dic3—64no—
367C3×Dic3—68no—
368C3×Dic3—68no—
369C3×Dic3—64no—
370C2×#41—91no—
371C22×D4C3×C3⋊D311yescharacteristic, complemented
372#124—91no—
373#123—92no—
374C22⋊Q8—91no—
375#121—91no—
376#121—92no—
377#120—92no—
378C4×D4—91no—
379C4×D4—91no—
380C2×C22⋊C4—92no—
381C33#54611yescharacteristic, complemented, Sylow
382C23×C3—232no—
383C23×C3—216no—
384C23×C3—216no—
385C23×C3—24no—
386C23×C3—24no—
387C23×C3—24no—
388C23×C3—28no—
389C23×C3—28no—
390C23×C3—416no—
391C23×C3—48no—
392C23×C3—42no—
393C23×C3—416no—
394C23×C3—91no—
395C23×C3C22×C3×D318yes—
396C23×C3C22×C3×D314yes—
397C23×C3C22×C3×D318yes—
398C23×C3C22×C3⋊D312yes—
399C23×C3C22×C3⋊D311yescharacteristic
400C23×C3C22×C3⋊D312yes—
401C22×D3—34no—
402C3×Q8—182no—
403C3×D4—232no—
404C3×D4—216no—
405C3×D4—216no—
406C3×D4—24no—
407C3×D4—28no—
408C3×D4—22no—
409C3×D4—216no—
410C3×D4—182no—
411C3×D4—184no—
412C3×D4—362no—
413C3×D4C3×#67116yescomplemented
414C3×D4#63814yescomplemented
415C2×C3×C4—216no—
416C2×C3×C4—28no—
417C2×C3×C4—22no—
418C2×C3×C4—24no—
419C2×C3×C4—24no—
420C2×C3×C4—91no—
421C2×C3×C4—91no—
422C2×C3×C4—92no—
423C2×C3×C4—91no—
424C2×C3×C4—92no—
425C2×C3×C4—184no—
426C2×C3×C4—182no—
427C2×C3×C4—362no—
428C2×C3×C4C22×C3×D314yes—
429C2×C3×C4C22×C3×D314yes—
430C2×C3×C4C22×C3⋊D311yescharacteristic
431C2×C3×C4C22×C3⋊D311yescharacteristic
432#67—68no—
433#67—616no—
434#67—128no—
435C2×Dic3—34no—
436C2×Dic3—34no—
437C2×Dic3—38no—
438C2×Dic3—38no—
439C2×Dic3—34no—
440C2×Dic3—616no—
441C2×Dic3—128no—
442C4×D3—68no—
443Dic6—68no—
444C2×C32—216no—
445C2×C32—28no—
446C2×C32—22no—
447C2×C32—24no—
448C2×C32—24no—
449C2×C32—24no—
450C2×C32—24no—
451C2×C32—216no—
452C2×C32—416no—
453C2×C32—416no—
454C2×C32—48no—
455C2×C32—42no—
456C2×C32C2×#23714yes—
457C2×C32#100414yes—
458C2×C32C22×#6714yes—
459C2×C32C22×C3×D411yescharacteristic
460C2×C32C2×C3×#4111yescharacteristic
461C2×C32C3×H(5,𝔽2)11yescharacteristic
462C3⋊D3—41no—
463C3×D3—124no—
464C24C2×C3×C3⋊D312yes—
465#41—184no—
466C2×Q8—91no—
467C2×D4—24no—
468C2×D4—91no—
469C2×D4—92no—
470C2×D4—92no—
471C2×D4C2×C3×C3⋊D312yes—
472C2×D4C2×C3×C3⋊D311yescharacteristic
473C2×D4C2×C3×C3⋊D311yescharacteristic
474C22×C4—92no—
475C22×C4—92no—
476C22×C4—91no—
477C22×C4C2×C3×C3⋊D311yescharacteristic
478C4⋊C4—91no—
479C4⋊C4—91no—
480C4⋊C4—92no—
481C22⋊C4—91no—
482C22⋊C4—92no—
483C22⋊C4—92no—
484C22⋊C4—92no—
485C22⋊C4—92no—
486C22⋊C4—92no—
487C22⋊C4—91no—
488C42—91no—
489C22×C3—28no—
490C22×C3—28no—
491C22×C3—28no—
492C22×C3—28no—
493C22×C3—24no—
494C22×C3—24no—
495C22×C3—22no—
496C22×C3—22no—
497C22×C3—21no—
498C22×C3—21no—
499C22×C3—216no—
500C22×C3—28no—
501C22×C3—28no—
502C22×C3—28no—
503C22×C3—22no—
504C22×C3—22no—
505C22×C3—22no—
506C22×C3—24no—
507C22×C3—28no—
508C22×C3—216no—
509C22×C3—48no—
510C22×C3—48no—
511C22×C3—48no—
512C22×C3—48no—
513C22×C3—432no—
514C22×C3—48no—
515C22×C3—464no—
516C22×C3—181no—
517C22×C3—181no—
518C22×C3—181no—
519C22×C3C3×#23718yescomplemented
520C22×C3C2×C3×#67116yes—
521C22×C3#383012yescomplemented
522C22×C3C2×#63814yes—
523C22×C3C23×C3×D314yes—
524C22×C3C23×C3⋊D311yescharacteristic
525C2×D3—64no—
526C2×D3—64no—
527C2×D3—64no—
528C3×C4—28no—
529C3×C4—24no—
530C3×C4—21no—
531C3×C4—28no—
532C3×C4—181no—
533C3×C4—181no—
534C3×C4—182no—
535C3×C4—181no—
536C3×C4—182no—
537C3×C4C2×C3×#6718yes—
538C3×C4C2×#63812yes—
539Dic3—64no—
540Dic3—64no—
541Dic3—68no—
542Dic3—68no—
543Dic3—64no—
544C32—24no—
545C32#580614yescomplemented
546C32C3×#54611yescharacteristic, complemented
547C23—24no—
548C23—24no—
549C23—42no—
550C23—91no—
551C23C22×C3×C3⋊D312yes—
552C23C22×C3×C3⋊D311yescharacteristic
553C23C22×C3×C3⋊D312yes—
554Q8—182no—
555D4—24no—
556D4—22no—
557D4—182no—
558D4—184no—
559D4—362no—
560D4C3×#63814yescomplemented
561C2×C4—22no—
562C2×C4—91no—
563C2×C4—91no—
564C2×C4—92no—
565C2×C4—91no—
566C2×C4—92no—
567C2×C4—184no—
568C2×C4—182no—
569C2×C4—362no—
570C2×C4C22×C3×C3⋊D311yescharacteristic
571C2×C4C22×C3×C3⋊D311yescharacteristic
572C2×C3—216no—
573C2×C3—28no—
574C2×C3—216no—
575C2×C3—22no—
576C2×C3—24no—
577C2×C3—24no—
578C2×C3—24no—
579C2×C3—24no—
580C2×C3—416no—
581C2×C3—416no—
582C2×C3—48no—
583C2×C3—42no—
584C2×C3—361no—
585C2×C3C2×C3×#23714yes—
586C2×C3C3×#100414yes—
587C2×C3C22×C3×#6714yes—
588C2×C3C2×#383011yescharacteristic
589C2×C3#6436111yescharacteristic
590C2×C3C22×#63811yescharacteristic
591D3—124no—
592C22—22no—
593C22—22no—
594C22—21no—
595C22—21no—
596C22—22no—
597C22—22no—
598C22—22no—
599C22—48no—
600C22—181no—
601C22—181no—
602C22—181no—
603C22C3×#383012yescomplemented
604C22C2×C3×#63814yes—
605C22C23×C3×C3⋊D311yescharacteristic
606C4—21no—
607C4—181no—
608C4—181no—
609C4—182no—
610C4—181no—
611C4—182no—
612C4C2×C3×#63812yes—
613C3—24no—
614C3C3×#580614yescomplemented
615C3#1059627711yescharacteristic, direct product factor
616C2—22no—
617C2—24no—
618C2—42no—
619C2—361no—
620C2C2×C3×#383011yescharacteristic
621C2C3×#6436111yescharacteristic
622C2C22×C3×#63811yescharacteristic
subgroupG/H
centerC22×C3C23×C3⋊D3
commutator, cosocleC22×C32C24×C3
FrattiniC22C23×C3×C3⋊D3
FittingC22×C33×D4C2
socleC22×C33C24
hypercenterC22×C3×D4C3⋊D3
hypocenterC32C3×#546
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C22×C3×D4

Complements

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

NH ≅ G/Ntype
1. C22×C33×D4C2semidirect
2. C2×C3×#3830C2semidirect
3. C3×#64162C2semidirect
4. C2×C3×#3757C2semidirect
5. C3×#64148C2semidirect
6. C3×#64147C2semidirect
7. C3×#64145C2semidirect
8. C3×#64144C2semidirect
9. C3×D4×C3⋊Dic3C2semidirect
10. C3×C4×#638C2semidirect
11. C3×#64133C2semidirect
12. #10596277C3direct (N × H)
21. C2×C3×#638C22semidirect
22. C2×C3×#638C22semidirect
23. C22×C3×C3⋊Dic3C22semidirect
24. C22×C3×C3⋊Dic3C22semidirect
26. C2×C3×C4×C3⋊D3C22semidirect
27. C2×C3×#634C22semidirect
30. C3×#3757C22semidirect
31. C3×#3757C22semidirect
32. C3×#3757C22semidirect
33. C3×#3757C22semidirect
34. C3×#3752C22semidirect
35. C3×C4⋊(C3⋊Dic3)C22semidirect
36. C3×#3750C22semidirect
37. C3×#3750C22semidirect
38. C3×C4×C3⋊Dic3C22semidirect
40. C22×C32×D4D3semidirect
41. C22×C32×D4C2×C3semidirect
42. C2×#3830C2×C3semidirect
44. #64162C2×C3semidirect
45. C2×#3757C2×C3semidirect
46. #64148C2×C3semidirect
47. #64147C2×C3semidirect
48. #64145C2×C3semidirect
49. #64144C2×C3semidirect
50. D4×C3⋊Dic3C2×C3semidirect
51. C4×#638C2×C3semidirect
52. #64133C2×C3semidirect
71. C33×D4D4semidirect
108. C2×#638C22×C3semidirect
109. C2×#638C22×C3semidirect
110. C22×C3⋊Dic3C22×C3semidirect
111. C22×C3⋊Dic3C22×C3semidirect
113. C2×C4×C3⋊D3C22×C3semidirect
114. C2×#634C22×C3semidirect
125. #3757C22×C3semidirect
126. #3757C22×C3semidirect
127. #3757C22×C3semidirect
128. #3757C22×C3semidirect
129. #3752C22×C3semidirect
130. C4⋊(C3⋊Dic3)C22×C3semidirect
131. #3750C22×C3semidirect
132. #3750C22×C3semidirect
133. C4×C3⋊Dic3C22×C3semidirect
154. C22×C33#41semidirect
168. C22×C3×D4C3×D3semidirect
169. C22×C3×D4C3⋊D3semidirect
216. C32×D4#67semidirect
217. C32×D4C3×D4semidirect
342. C22×C32#237semidirect
345. C22×C32C3×#41semidirect
371. C22×D4C3×C3⋊D3semidirect
381. C33#546semidirect
413. C3×D4C3×#67semidirect
414. C3×D4#638semidirect
519. C22×C3C3×#237semidirect
521. C22×C3#3830semidirect
545. C32#5806semidirect
546. C32C3×#546semidirect
560. D4C3×#638semidirect
603. C22C3×#3830semidirect
614. C3C3×#5806semidirect
615. C3#10596277direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C33×D42
C2×C3×#38302
C3×#641622
C2×C3×#37572
C3×#641482
C3×#641472
C3×#641452
C3×#641442
C3×D4×C3⋊Dic32
C3×C4×#6382
C3×#641332
#105962773
C3×#58063