Finite Group Databasebeta

← C3×#10595033 #13174609

Subgroups — C3×#10595033 #13174609

Order 1728.

1286 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×C3⋊Dic3C211yesmaximal, characteristic, complemented
2C32×C4×#67C212yesmaximal, complemented
3C3×#63982C211yesmaximal, characteristic, complemented
4C3×#63980C211yesmaximal, characteristic
5C3×#63962C212yesmaximal, complemented
6C3×C4×#627C211yesmaximal, characteristic, complemented
7C3×#63915C211yesmaximal, characteristic, complemented
8C3×C4×#625C211yesmaximal, characteristic, complemented
9C3×#63870C211yesmaximal, characteristic, complemented
10C3×#63862C212yesmaximal, complemented
11C3×#63855C212yesmaximal, complemented
12C3×#5538—32nomaximal
13#10595033C311yesmaximal, characteristic, direct product factor
14C22×C33×C4C2211yescharacteristic
15C22×C3×C3⋊Dic3C2211yescharacteristic
16C22×C3×C3⋊Dic3C2211yescharacteristic
17C2×C32×#67C2212yes—
18C2×C32×C4×D3C2212yes—
19C2×C3×#627C2211yescharacteristic
20C2×C3×#625C2211yescharacteristic
21C3×C4×C3⋊Dic3C2211yescharacteristic
22C3×C4×C3⋊Dic3C2211yescharacteristic
23C3×C4×C3⋊Dic3C2211yescharacteristic
24C3×C4×C3⋊Dic3C2211yescharacteristic
25C32×#217C2212yes—
26C32×(C2×D3)⋊C4C2212yes—
27C32×Dic3⋊C4C2212yes—
28C32×C4×Dic3C2212yes—
29C3×#3724C2211yescharacteristic
30C3×#3724C2211yescharacteristic
31C3×Dic3⋊Dic3C2212yes—
32C3×Dic3⋊Dic3C2212yes—
33C3×Dic3⋊Dic3C2212yes—
34C3×(C2×D3)⋊Dic3C2212yes—
35C3×(C2×D3)⋊Dic3C2212yes—
36C3×(C2×D3)⋊Dic3C2212yes—
37C32×C4×D4—32no—
38C2×C4×C3⋊Dic3C2×C311yescharacteristic, complemented
39C3×#939—32no—
40C3×#935—32no—
41C3×C4×#67—22no—
42C3×C4×#67—32no—
43C3×C4×#67D312yescomplemented
44C3×C4×#67C2×C312yescomplemented
45C3×#926—32no—
46C2×C3×C4×Dic3—32no—
47C2×C3×C4×Dic3—61no—
48C3×#898—32no—
49C3×#889—32no—
50C3×#886—32no—
51C3×#885—32no—
52C3×#879—32no—
53C3×#878—32no—
54C3×#872—32no—
55C3×C4×Dic6—32no—
56#63982C2×C311yescharacteristic, complemented
57#63980C2×C311yescharacteristic
58#63962C2×C312yescomplemented
59C4×#627C2×C311yescharacteristic, complemented
60#63915C2×C311yescharacteristic, complemented
61C4×#625C2×C311yescharacteristic, complemented
62#63870C2×C311yescharacteristic, complemented
63#63862C2×C312yescomplemented
64#63855C2×C312yescomplemented
65C23×C33C2311yescharacteristic
66C22×C32×D3C2312yes—
67C2×C33×C4—22no—
68C2×C33×C4C2311yescharacteristic
69C2×C33×C4C2311yescharacteristic
70C2×C3×C3⋊Dic3—22no—
71C2×C3×C3⋊Dic3—22no—
72C2×C3×C3⋊Dic3C2311yescharacteristic
73C2×C3×C3⋊Dic3C2311yescharacteristic
74C2×C3×C3⋊Dic3C2311yescharacteristic
75C2×C3×C3⋊Dic3C2311yescharacteristic
76C32×#67—24no—
77C2×C32×Dic3C2312yes—
78C2×C32×Dic3C2312yes—
79C2×C32×Dic3C2312yes—
80C32×C4×D3—24no—
81C3×#627—22no—
82C3×#625—22no—
83C3×#529—91no—
84#5538—32no—
85C2×C32×D4—32no—
86C22×C32×C4—21no—
87C22×C32×C4—22no—
88C22×C32×C4—32no—
89C22×C32×C4—41no—
90C22×C32×C4C2×D312yes—
91C22×C32×C4C22×C311yescharacteristic
92C22×C3⋊Dic3C22×C311yescharacteristic
93C22×C3⋊Dic3C22×C311yescharacteristic
94C2×C3×#67—22no—
95C2×C3×#67—32no—
96C2×C3×#67C2×D312yes—
97C2×C3×#67C22×C312yes—
98C22×C3×Dic3—32no—
99C22×C3×Dic3—32no—
100C22×C3×Dic3—61no—
101C22×C3×Dic3—61no—
102C2×C3×C4×D3—22no—
103C2×C3×C4×D3C2×D312yes—
104C2×C3×C4×D3C22×C312yes—
105C2×C3×Dic6—32no—
106C2×#627C22×C311yescharacteristic
107C2×#625C22×C311yescharacteristic
108C32×C4⋊C4—32no—
109C32×C22⋊C4—32no—
110C32×C22⋊C4—32no—
111C32×C42—32no—
112C4×C3⋊Dic3C22×C311yescharacteristic
113C4×C3⋊Dic3C22×C311yescharacteristic
114C4×C3⋊Dic3C22×C311yescharacteristic
115C4×C3⋊Dic3C22×C311yescharacteristic
116C3×#217—22no—
117C3×#217—32no—
118C3×#217—32no—
119C3×#217—32no—
120C3×#217C2×D312yes—
121C3×#217C22×C312yes—
122C3×(C2×D3)⋊C4—22no—
123C3×(C2×D3)⋊C4—32no—
124C3×(C2×D3)⋊C4—32no—
125C3×(C2×D3)⋊C4—32no—
126C3×(C2×D3)⋊C4C2×D312yes—
127C3×(C2×D3)⋊C4C22×C312yes—
128C3×C4⋊Dic3—32no—
129C3×C4⋊Dic3—32no—
130C3×C4⋊Dic3—32no—
131C3×Dic3⋊C4—22no—
132C3×Dic3⋊C4—32no—
133C3×Dic3⋊C4—32no—
134C3×Dic3⋊C4—32no—
135C3×Dic3⋊C4—32no—
136C3×Dic3⋊C4—32no—
137C3×Dic3⋊C4C2×D312yes—
138C3×Dic3⋊C4C22×C312yes—
139C3×C4×Dic3—22no—
140C3×C4×Dic3—32no—
141C3×C4×Dic3—32no—
142C3×C4×Dic3—32no—
143C3×C4×Dic3—32no—
144C3×C4×Dic3—61no—
145C3×C4×Dic3—61no—
146C3×C4×Dic3—61no—
147C3×C4×Dic3—61no—
148C3×C4×Dic3C2×D312yes—
149C3×C4×Dic3C22×C312yes—
150#3724C22×C311yescharacteristic
151#3724C22×C311yescharacteristic
152Dic3⋊Dic3C22×C312yes—
153Dic3⋊Dic3C22×C312yes—
154Dic3⋊Dic3C22×C312yes—
155(C2×D3)⋊Dic3C22×C312yes—
156(C2×D3)⋊Dic3C22×C312yes—
157(C2×D3)⋊Dic3C22×C312yes—
158C22×C33—21no—
159C22×C33—21no—
160C22×C33#4112yes—
161C22×C33C2411yescharacteristic
162C2×C32×D3—22no—
163C2×C32×D3—22no—
164C2×C32×D3—22no—
165C33×C4—21no—
166C33×C4#4112yes—
167C3×C3⋊Dic3—21no—
168C3×C3⋊Dic3—21no—
169C3×C3⋊Dic3—21no—
170C3×C3⋊Dic3#4112yes—
171C32×Dic3—22no—
172C32×Dic3—22no—
173C32×Dic3—22no—
174C3×#126—92no—
175C3×#125—91no—
176C3×#124—91no—
177C3×#123—92no—
178C3×C22⋊Q8—91no—
179C3×#121—91no—
180C3×C4×Q8—91no—
181C3×C4×D4—32no—
182C3×C4×D4—32no—
183C3×C4×D4—62no—
184C3×C4×D4—91no—
185C3×#117—92no—
186C2×C3×C42—91no—
187#939—32no—
188#935—32no—
189C4×#67—32no—
190C4×#67C3×D312yescomplemented
191#926—32no—
192C2×C4×Dic3—32no—
193C2×C4×Dic3—61no—
194#898—32no—
195#889—32no—
196#886—32no—
197#885—32no—
198#879—32no—
199#878—32no—
200#872—32no—
201C4×Dic6—32no—
202C23×C32—21no—
203C23×C32—22no—
204C23×C32—32no—
205C23×C32—41no—
206C23×C32C22×D312yes—
207C23×C32C23×C311yescharacteristic
208C22×C3×D3—22no—
209C22×C3×D3C22×D312yes—
210C22×C3×D3C23×C312yes—
211C32×D4—64no—
212C2×C32×C4—22no—
213C2×C32×C4—24no—
214C2×C32×C4—24no—
215C2×C32×C4—21no—
216C2×C32×C4—21no—
217C2×C32×C4—22no—
218C2×C32×C4—22no—
219C2×C32×C4—32no—
220C2×C32×C4—32no—
221C2×C32×C4—32no—
222C2×C32×C4—41no—
223C2×C32×C4—41no—
224C2×C32×C4—44no—
225C2×C32×C4—44no—
226C2×C32×C4—64no—
227C2×C32×C4C22×D312yes—
228C2×C32×C4C22×D312yes—
229C2×C32×C4C23×C311yescharacteristic
230C2×C32×C4C23×C311yescharacteristic
231C2×C3⋊Dic3—22no—
232C2×C3⋊Dic3—22no—
233C2×C3⋊Dic3C23×C311yescharacteristic
234C2×C3⋊Dic3C23×C311yescharacteristic
235C2×C3⋊Dic3C23×C311yescharacteristic
236C2×C3⋊Dic3C23×C311yescharacteristic
237C3×#67—28no—
238C3×#67—24no—
239C3×#67—24no—
240C3×#67—64no—
241C2×C3×Dic3—22no—
242C2×C3×Dic3—22no—
243C2×C3×Dic3—22no—
244C2×C3×Dic3—32no—
245C2×C3×Dic3—32no—
246C2×C3×Dic3—32no—
247C2×C3×Dic3—32no—
248C2×C3×Dic3—61no—
249C2×C3×Dic3—61no—
250C2×C3×Dic3—61no—
251C2×C3×Dic3—61no—
252C2×C3×Dic3—64no—
253C2×C3×Dic3—64no—
254C2×C3×Dic3—64no—
255C2×C3×Dic3—64no—
256C2×C3×Dic3C22×D312yes—
257C2×C3×Dic3C22×D312yes—
258C2×C3×Dic3C22×D312yes—
259C2×C3×Dic3C23×C312yes—
260C2×C3×Dic3C23×C312yes—
261C2×C3×Dic3C23×C312yes—
262C3×C4×D3—24no—
263C3×C4×D3—24no—
264C3×C4×D3—44no—
265C3×Dic6—64no—
266#627—22no—
267#625—22no—
268#529—91noSylow
269C2×C33—22no—
270C2×C33C2×#4111yescharacteristic
271C2×C33C2×#4111yescharacteristic
272C2×C33C2×#4111yescharacteristic
273C32×D3—42no—
274C2×C3×Q8—91no—
275C2×C3×D4—32no—
276C2×C3×D4—32no—
277C2×C3×D4—62no—
278C2×C3×D4—91no—
279C22×C3×C4—21no—
280C22×C3×C4—22no—
281C22×C3×C4—32no—
282C22×C3×C4—32no—
283C22×C3×C4—41no—
284C22×C3×C4—62no—
285C22×C3×C4—91no—
286C22×C3×C4—91no—
287C22×C3×C4D3211yescharacteristic
288C22×C3×C4C2×C3×D312yes—
289C2×#67—32no—
290C2×#67C2×C3×D312yes—
291C22×Dic3—32no—
292C22×Dic3—32no—
293C22×Dic3—61no—
294C22×Dic3—61no—
295C2×C4×D3C2×C3×D312yes—
296C2×Dic6—32no—
297C3×C4⋊C4—32no—
298C3×C4⋊C4—32no—
299C3×C4⋊C4—62no—
300C3×C4⋊C4—91no—
301C3×C4⋊C4—91no—
302C3×C4⋊C4—92no—
303C3×C4⋊C4—92no—
304C3×C4⋊C4—92no—
305C3×C22⋊C4—32no—
306C3×C22⋊C4—32no—
307C3×C22⋊C4—32no—
308C3×C22⋊C4—32no—
309C3×C22⋊C4—62no—
310C3×C22⋊C4—62no—
311C3×C22⋊C4—92no—
312C3×C22⋊C4—92no—
313C3×C22⋊C4—92no—
314C3×C42—32no—
315C3×C42—32no—
316C3×C42—62no—
317C3×C42—91no—
318C3×C42—91no—
319C3×C42—91no—
320C3×C42—91no—
321#217—32no—
322#217—32no—
323#217—32no—
324#217C2×C3×D312yes—
325(C2×D3)⋊C4—32no—
326(C2×D3)⋊C4—32no—
327(C2×D3)⋊C4—32no—
328(C2×D3)⋊C4C2×C3×D312yes—
329C4⋊Dic3—32no—
330C4⋊Dic3—32no—
331C4⋊Dic3—32no—
332Dic3⋊C4—32no—
333Dic3⋊C4—32no—
334Dic3⋊C4—32no—
335Dic3⋊C4—32no—
336Dic3⋊C4—32no—
337Dic3⋊C4C2×C3×D312yes—
338C4×Dic3—32no—
339C4×Dic3—32no—
340C4×Dic3—32no—
341C4×Dic3—32no—
342C4×Dic3—61no—
343C4×Dic3—61no—
344C4×Dic3—61no—
345C4×Dic3—61no—
346C4×Dic3C2×C3×D312yes—
347C22×C32—21no—
348C22×C32—21no—
349C22×C32—22no—
350C22×C32—22no—
351C22×C32—22no—
352C22×C32—22no—
353C22×C32—21no—
354C22×C32—22no—
355C22×C32—22no—
356C22×C32—24no—
357C22×C32—42no—
358C22×C32—41no—
359C22×C32—42no—
360C22×C32—42no—
361C22×C32—42no—
362C22×C32—42no—
363C22×C32—62no—
364C22×C32—62no—
365C22×C32—62no—
366C22×C32#23514yes—
367C22×C32C3×#4112yes—
368C22×C32C23×D312yes—
369C22×C32C24×C311yescharacteristic
370C2×C3×D3—24no—
371C2×C3×D3—22no—
372C2×C3×D3—22no—
373C2×C3×D3—22no—
374C2×C3×D3—22no—
375C2×C3×D3—22no—
376C2×C3×D3—22no—
377C2×C3×D3—42no—
378C2×C3×D3—42no—
379C32×C4—21no—
380C32×C4—22no—
381C32×C4—22no—
382C32×C4—22no—
383C32×C4—24no—
384C32×C4—42no—
385C32×C4—42no—
386C32×C4—42no—
387C32×C4—62no—
388C32×C4—62no—
389C32×C4—62no—
390C32×C4#23714yes—
391C32×C4C3×#4112yes—
392C3⋊Dic3—21no—
393C3⋊Dic3—21no—
394C3⋊Dic3—21no—
395C3⋊Dic3C3×#4112yes—
396C3×Dic3—24no—
397C3×Dic3—22no—
398C3×Dic3—22no—
399C3×Dic3—22no—
400C3×Dic3—22no—
401C3×Dic3—22no—
402C3×Dic3—22no—
403C3×Dic3—34no—
404C3×Dic3—42no—
405C3×Dic3—42no—
406C3×Dic3—62no—
407C3×Dic3—62no—
408C3×Dic3—62no—
409C3×Dic3—62no—
410C3×Dic3—62no—
411C3×Dic3—62no—
412C3×Dic3—62no—
413#126—92no—
414#125—91no—
415#124—91no—
416#123—92no—
417C22⋊Q8—91no—
418#121—91no—
419C4×Q8—91no—
420C4×D4—32no—
421C4×D4—91no—
422#117—92no—
423C2×C42—91no—
424C33#52911yescharacteristic, complemented, Sylow
425C23×C3—21no—
426C23×C3—22no—
427C23×C3—32no—
428C23×C3—32no—
429C23×C3—41no—
430C23×C3—62no—
431C23×C3C2×D3211yescharacteristic
432C23×C3C22×C3×D312yes—
433C22×D3C22×C3×D312yes—
434C3×Q8—182no—
435C3×D4—68no—
436C3×D4—64no—
437C3×D4—64no—
438C3×D4—182no—
439C2×C3×C4—24no—
440C2×C3×C4—22no—
441C2×C3×C4—24no—
442C2×C3×C4—22no—
443C2×C3×C4—21no—
444C2×C3×C4—21no—
445C2×C3×C4—22no—
446C2×C3×C4—32no—
447C2×C3×C4—32no—
448C2×C3×C4—32no—
449C2×C3×C4—32no—
450C2×C3×C4—32no—
451C2×C3×C4—32no—
452C2×C3×C4—44no—
453C2×C3×C4—44no—
454C2×C3×C4—41no—
455C2×C3×C4—41no—
456C2×C3×C4—62no—
457C2×C3×C4—62no—
458C2×C3×C4—62no—
459C2×C3×C4—64no—
460C2×C3×C4—64no—
461C2×C3×C4—91no—
462C2×C3×C4—91no—
463C2×C3×C4—91no—
464C2×C3×C4—91no—
465C2×C3×C4—124no—
466C2×C3×C4—182no—
467C2×C3×C4—182no—
468C2×C3×C4C2×D3211yescharacteristic
469C2×C3×C4C2×D3211yescharacteristic
470C2×C3×C4C22×C3×D312yes—
471C2×C3×C4C22×C3×D312yes—
472#67—24no—
473#67—64no—
474C2×Dic3—32no—
475C2×Dic3—32no—
476C2×Dic3—32no—
477C2×Dic3—32no—
478C2×Dic3—61no—
479C2×Dic3—61no—
480C2×Dic3—61no—
481C2×Dic3—61no—
482C2×Dic3—64no—
483C2×Dic3—64no—
484C2×Dic3—64no—
485C2×Dic3—64no—
486C2×Dic3C22×C3×D312yes—
487C2×Dic3C22×C3×D312yes—
488C2×Dic3C22×C3×D312yes—
489C4×D3—24no—
490Dic6—64no—
491C2×C32—22no—
492C2×C32—24no—
493C2×C32—24no—
494C2×C32—21no—
495C2×C32—21no—
496C2×C32—21no—
497C2×C32—22no—
498C2×C32—22no—
499C2×C32—22no—
500C2×C32—41no—
501C2×C32—41no—
502C2×C32—41no—
503C2×C32—44no—
504C2×C32—44no—
505C2×C32—122no—
506C2×C32C2×#23512yes—
507C2×C32C2×#23712yes—
508C2×C32D3×#4112yes—
509C2×C32C2×C3×#4111yescharacteristic
510C2×C32C2×C3×#4111yescharacteristic
511C2×C32C2×C3×#4111yescharacteristic
512C3×D3—44no—
513C3×D3—42no—
514C3×D3—42no—
515C2×Q8—91no—
516C2×D4—32no—
517C2×D4—91no—
518C22×C4—32no—
519C22×C4—91no—
520C22×C4—91no—
521C22×C4C3×D3211yescharacteristic
522C4⋊C4—32no—
523C4⋊C4—92no—
524C4⋊C4—92no—
525C4⋊C4—91no—
526C4⋊C4—91no—
527C4⋊C4—92no—
528C22⋊C4—32no—
529C22⋊C4—32no—
530C22⋊C4—92no—
531C22⋊C4—92no—
532C22⋊C4—92no—
533C42—32no—
534C42—91no—
535C42—91no—
536C42—91no—
537C42—91no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—21no—
541C22×C3—21no—
542C22×C3—22no—
543C22×C3—22no—
544C22×C3—21no—
545C22×C3—22no—
546C22×C3—22no—
547C22×C3—24no—
548C22×C3—42no—
549C22×C3—42no—
550C22×C3—42no—
551C22×C3—42no—
552C22×C3—41no—
553C22×C3—42no—
554C22×C3—64no—
555C22×C3—62no—
556C22×C3—62no—
557C22×C3—62no—
558C22×C3—62no—
559C22×C3—62no—
560C22×C3—62no—
561C22×C3—122no—
562C22×C3—122no—
563C22×C3#379812yes—
564C22×C3C3×#23514yes—
565C22×C3C22×D3211yescharacteristic
566C22×C3C23×C3×D312yes—
567C2×D3—22no—
568C2×D3—22no—
569C2×D3—22no—
570C3×C4—22no—
571C3×C4—21no—
572C3×C4—22no—
573C3×C4—22no—
574C3×C4—24no—
575C3×C4—42no—
576C3×C4—42no—
577C3×C4—42no—
578C3×C4—64no—
579C3×C4—62no—
580C3×C4—62no—
581C3×C4—62no—
582C3×C4—62no—
583C3×C4—62no—
584C3×C4—62no—
585C3×C4—92no—
586C3×C4—122no—
587C3×C4—122no—
588C3×C4—181no—
589C3×C4—181no—
590C3×C4—181no—
591C3×C4#380512yes—
592C3×C4C3×#23714yes—
593Dic3—22no—
594Dic3—22no—
595Dic3—22no—
596Dic3—34no—
597Dic3—62no—
598Dic3—62no—
599Dic3—62no—
600Dic3—62no—
601Dic3—62no—
602Dic3—62no—
603Dic3—62no—
604C32—22no—
605C32—21no—
606C32—41no—
607C32#553812yescomplemented
608C32C3×#52911yescharacteristic, complemented
609C23—32no—
610C23C2×C3×D3211yescharacteristic
611Q8—182no—
612D4—64no—
613D4—182no—
614C2×C4—22no—
615C2×C4—32no—
616C2×C4—32no—
617C2×C4—32no—
618C2×C4—64no—
619C2×C4—91no—
620C2×C4—91no—
621C2×C4—91no—
622C2×C4—91no—
623C2×C4—182no—
624C2×C4—182no—
625C2×C4C2×C3×D3211yescharacteristic
626C2×C4C2×C3×D3211yescharacteristic
627C2×C3—24no—
628C2×C3—24no—
629C2×C3—22no—
630C2×C3—21no—
631C2×C3—22no—
632C2×C3—21no—
633C2×C3—22no—
634C2×C3—21no—
635C2×C3—22no—
636C2×C3—44no—
637C2×C3—44no—
638C2×C3—41no—
639C2×C3—41no—
640C2×C3—41no—
641C2×C3—124no—
642C2×C3—122no—
643C2×C3—122no—
644C2×C3C2×#379811yescharacteristic
645C2×C3#6430611yescharacteristic
646C2×C3C2×#380511yescharacteristic
647C2×C3C2×C3×#23512yes—
648C2×C3C2×C3×#23712yes—
649C2×C3C3×D3×#4112yes—
650D3—42no—
651C22—21no—
652C22—21no—
653C22—62no—
654C22—62no—
655C22—62no—
656C22C3×#379812yes—
657C22C22×C3×D3211yescharacteristic
658C4—21no—
659C4—62no—
660C4—62no—
661C4—62no—
662C4—92no—
663C4—181no—
664C4—181no—
665C4—181no—
666C4C3×#380512yes—
667C3—21no—
668C3—22no—
669C3—41no—
670C3#1059503311yescharacteristic, direct product factor
671C3C3×#553812yescomplemented
672C2—22no—
673C2—122no—
674C2C2×C3×#379811yescharacteristic
675C2C3×#6430611yescharacteristic
676C2C2×C3×#380511yescharacteristic
subgroupG/H
centerC2×C3×C4C2×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC22×C33×C4C22
socleC22×C33C24
prime radicalC3×#63980C2
hypercenterC22×C3×C4D32
hypocenterC32C3×#529
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C3×C4 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
1. C2×C3×C4×C3⋊Dic3C2semidirect
2. C32×C4×#67C2semidirect
3. C3×#63982C2semidirect
5. C3×#63962C2semidirect
6. C3×C4×#627C2semidirect
7. C3×#63915C2semidirect
8. C3×C4×#625C2semidirect
9. C3×#63870C2semidirect
10. C3×#63862C2semidirect
11. C3×#63855C2semidirect
13. #10595033C3direct (N × H)
38. C2×C4×C3⋊Dic3C2×C3semidirect
43. C3×C4×#67D3semidirect
44. C3×C4×#67C2×C3semidirect
56. #63982C2×C3semidirect
58. #63962C2×C3semidirect
59. C4×#627C2×C3semidirect
60. #63915C2×C3semidirect
61. C4×#625C2×C3semidirect
62. #63870C2×C3semidirect
63. #63862C2×C3semidirect
64. #63855C2×C3semidirect
190. C4×#67C3×D3semidirect
424. C33#529semidirect
607. C32#5538semidirect
608. C32C3×#529semidirect
670. C3#10595033direct (N × H)
671. C3C3×#5538semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×C3⋊Dic32
C32×C4×#672
C3×#639822
C3×#639802
C3×#639622
C3×C4×#6272
C3×#639152
C3×C4×#6252
C3×#638702
C3×#638622
C3×#638552
C3×#55383
#105950333