Finite Group Databasebeta

← C3×#10595040 #13174623

Subgroups — C3×#10595040 #13174623

Order 1728.

1866 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#235C211yesmaximal, characteristic, complemented
2C22×C32×D12C211yesmaximal, characteristic, complemented
3C3×#64135C211yesmaximal, characteristic, complemented
4C3×#63976C214yesmaximal, complemented
5C3×#63914C212yesmaximal, complemented
6C3×#63908C214yesmaximal, complemented
7C3×#63863C212yesmaximal, complemented
8C3×#5830—31nomaximal
9C3×#5805—31nomaximal
10#10595040C311yesmaximal, characteristic, direct product factor
11C23×C32×D3C2212yes—
12C22×C33×C4C2211yescharacteristic
13C2×C32×#67C2212yes—
14C32×#235—24no—
15C2×C32×D12—24no—
16C2×C32×D12C2212yes—
17C2×C32×D12C2212yes—
18C2×C32×D12C2211yescharacteristic, complemented
19C2×C32×C4×D3C2212yescomplemented
20C2×C32×Dic6C2211yescharacteristic, complemented
21C2×C3×#625C2218yescomplemented
22C3×#3757C2212yes—
23C3×C4⋊(C3⋊Dic3)C2212yescomplemented
24C3×C4×C3⋊Dic3C2212yescomplemented
25C3×(C2×D3)⋊Dic3C2218yescomplemented
26C2×C32×#41—31no—
27C22×C32×D4—31no—
28C2×C3×#235—21no—
29C2×C3×#235D311yescharacteristic, complemented
30C2×C3×#235C2×C311yescharacteristic, complemented
31C22×C3×D12—21no—
32C22×C3×D12D311yescharacteristic, complemented
33C22×C3×D12C2×C311yescharacteristic, complemented
34#64135C2×C311yescharacteristic, complemented
35C3×#953—34no—
36C3×#947—32no—
37C3×#940—32no—
38C3×#940—32no—
39C3×#938—34no—
40C3×#937—34no—
41C3×#936—32no—
42C3×#930—34no—
43C3×#926—31no—
44C3×#926—31no—
45C3×#926—61no—
46#63976C2×C314yescomplemented
47#63914C2×C312yescomplemented
48#63908C2×C314yescomplemented
49#63863C2×C312yescomplemented
50C23×C33C2311yescharacteristic
51C22×C32×D3—24no—
52C22×C32×D3—44no—
53C22×C32×D3C2314yes—
54C22×C32×D3C2312yes—
55C2×C33×C4D414yescomplemented
56C2×C33×C4C2311yescharacteristic
57C2×C33×C4C2311yescharacteristic
58C2×C3×C3⋊Dic3C2314yes—
59C32×#67—24no—
60C2×C32×Dic3C2312yes—
61C32×D12—24no—
62C32×D12—24no—
63C32×D12—22no—
64C32×C4×D3—24no—
65C32×Dic6—22no—
66C3×#625—48no—
67C3×#535—91no—
68#5830—31no—
69#5805—31no—
70C24×C32—32no—
71C23×C3×D3—22no—
72C23×C3×D3C2×D312yes—
73C23×C3×D3C22×C312yes—
74C32×#41—64no—
75C2×C32×Q8—31no—
76C2×C32×D4—32no—
77C2×C32×D4—32no—
78C2×C32×D4—32no—
79C2×C32×D4—31no—
80C2×C32×D4—64no—
81C22×C32×C4—21no—
82C22×C32×C4—21no—
83C22×C32×C4—21no—
84C22×C32×C4—32no—
85C22×C32×C4—41no—
86C22×C32×C4C2×D311yescharacteristic
87C22×C32×C4C2×D311yescharacteristic
88C22×C32×C4C22×C311yescharacteristic
89C2×C3×#67—22no—
90C2×C3×#67—38no—
91C2×C3×#67—38no—
92C2×C3×#67C2×D312yes—
93C2×C3×#67C22×C312yes—
94C3×#235—28no—
95C3×#235—24no—
96C3×#235—24no—
97C2×C3×D12—28no—
98C2×C3×D12—22no—
99C2×C3×D12—22no—
100C2×C3×D12—21no—
101C2×C3×D12—24no—
102C2×C3×D12—24no—
103C2×C3×D12C2×D312yes—
104C2×C3×D12C2×D312yes—
105C2×C3×D12C2×D311yescharacteristic, complemented
106C2×C3×D12C22×C312yes—
107C2×C3×D12C22×C312yes—
108C2×C3×D12C22×C311yescharacteristic, complemented
109C2×C3×C4×D3—22no—
110C2×C3×C4×D3C2×D312yescomplemented
111C2×C3×C4×D3C22×C312yescomplemented
112C2×C3×Dic6—21no—
113C2×C3×Dic6C2×D311yescharacteristic, complemented
114C2×C3×Dic6C22×C311yescharacteristic, complemented
115C2×#625C22×C318yescomplemented
116#3757C22×C312yes—
117C4⋊(C3⋊Dic3)C22×C312yescomplemented
118C4×C3⋊Dic3C22×C312yescomplemented
119C3×#217—32no—
120C3×#217—32no—
121C3×#217—38no—
122C3×#217—62no—
123C3×(C2×D3)⋊C4—38no—
124C3×C4⋊Dic3—32no—
125C3×C4⋊Dic3—32no—
126C3×C4⋊Dic3—62no—
127C3×C4×Dic3—32no—
128C3×C4×Dic3—32no—
129C3×C4×Dic3—62no—
130(C2×D3)⋊Dic3C22×C318yescomplemented
131C22×C33—22no—
132C22×C33C2×D412yes—
133C22×C33C2411yescharacteristic
134C2×C32×D3—22no—
135C2×C32×D3—24no—
136C2×C32×D3—24no—
137C2×C32×D3—28no—
138C2×C32×D3—48no—
139C33×C4C2×D412yes—
140C33×C4C2×D412yes—
141C3×C3⋊Dic3—24no—
142C32×Dic3—22no—
143C2×C3×#41—31no—
144C2×C3×#41—31no—
145C2×C3×#41—61no—
146C22×C3×D4—31no—
147C22×C3×D4—31no—
148C22×C3×D4—61no—
149C2×#235C3×D311yescharacteristic, complemented
150C22×D12C3×D311yescharacteristic, complemented
151C3×#127—92no—
152C3×#124—92no—
153C3×#121—94no—
154C3×#120—94no—
155C3×#117—91no—
156#953—34no—
157#947—32no—
158#940—32no—
159#940—32no—
160#938—34no—
161#937—34no—
162#936—32no—
163#930—34no—
164#926—31no—
165#926—31no—
166#926—61no—
167C23×C32—21no—
168C23×C32—21no—
169C23×C32—21no—
170C23×C32—34no—
171C23×C32—32no—
172C23×C32—41no—
173C23×C32—64no—
174C23×C32—124no—
175C23×C32C22×D311yescharacteristic
176C23×C32C22×D311yescharacteristic
177C23×C32C23×C311yescharacteristic
178C22×C3×D3—28no—
179C22×C3×D3—24no—
180C22×C3×D3—24no—
181C22×C3×D3—24no—
182C22×C3×D3—22no—
183C22×C3×D3—44no—
184C22×C3×D3—44no—
185C22×C3×D3—48no—
186C22×C3×D3C22×D314yes—
187C22×C3×D3C22×D312yes—
188C22×C3×D3C23×C314yes—
189C22×C3×D3C23×C312yes—
190C32×Q8—62no—
191C32×D4—64no—
192C32×D4—64no—
193C32×D4—64no—
194C32×D4—62no—
195C2×C32×C4—24no—
196C2×C32×C4—24no—
197C2×C32×C4—24no—
198C2×C32×C4—21no—
199C2×C32×C4—21no—
200C2×C32×C4—21no—
201C2×C32×C4—21no—
202C2×C32×C4—21no—
203C2×C32×C4—21no—
204C2×C32×C4—32no—
205C2×C32×C4—44no—
206C2×C32×C4—41no—
207C2×C32×C4—41no—
208C2×C32×C4—64no—
209C2×C32×C4#6714yescomplemented
210C2×C32×C4#6714yescomplemented
211C2×C32×C4C3×D414yescomplemented
212C2×C32×C4C22×D311yescharacteristic
213C2×C32×C4C22×D311yescharacteristic
214C2×C32×C4C22×D311yescharacteristic
215C2×C32×C4C22×D311yescharacteristic
216C2×C32×C4C23×C311yescharacteristic
217C2×C32×C4C23×C311yescharacteristic
218C2×C3⋊Dic3C23×C314yes—
219C3×#67—28no—
220C3×#67—24no—
221C3×#67—24no—
222C3×#67—128no—
223C3×#67—128no—
224C2×C3×Dic3—22no—
225C2×C3×Dic3—34no—
226C2×C3×Dic3—34no—
227C2×C3×Dic3—64no—
228C2×C3×Dic3C22×D312yes—
229C2×C3×Dic3C23×C312yes—
230C3×D12—28no—
231C3×D12—28no—
232C3×D12—24no—
233C3×D12—24no—
234C3×D12—24no—
235C3×D12—22no—
236C3×D12—24no—
237C3×D12—24no—
238C3×D12—22no—
239C3×C4×D3—28no—
240C3×C4×D3—24no—
241C3×C4×D3—24no—
242C3×Dic6—24no—
243C3×Dic6—22no—
244C3×Dic6—22no—
245#625—48no—
246#535—91noSylow
247C2×C33—22no—
248C2×C33C22×D411yescharacteristic
249C2×C33H(5,𝔽2)12yes—
250C32×D3—42no—
251C32×D3—44no—
252C24×C3—32no—
253C24×C3—32no—
254C24×C3—62no—
255C23×D3C2×C3×D312yes—
256C3×#41—68no—
257C3×#41—64no—
258C3×#41—64no—
259C2×C3×Q8—31no—
260C2×C3×Q8—31no—
261C2×C3×Q8—61no—
262C2×C3×D4—32no—
263C2×C3×D4—32no—
264C2×C3×D4—32no—
265C2×C3×D4—32no—
266C2×C3×D4—31no—
267C2×C3×D4—32no—
268C2×C3×D4—32no—
269C2×C3×D4—31no—
270C2×C3×D4—62no—
271C2×C3×D4—62no—
272C2×C3×D4—61no—
273C2×C3×D4—62no—
274C2×C3×D4—68no—
275C2×C3×D4—64no—
276C2×C3×D4—64no—
277C2×C3×D4—98no—
278C22×C3×C4—21no—
279C22×C3×C4—21no—
280C22×C3×C4—21no—
281C22×C3×C4—32no—
282C22×C3×C4—32no—
283C22×C3×C4—41no—
284C22×C3×C4—62no—
285C22×C3×C4D3211yescharacteristic
286C22×C3×C4C2×C3×D311yescharacteristic
287C22×C3×C4C2×C3×D311yescharacteristic
288C2×#67—38no—
289C2×#67—38no—
290C2×#67C2×C3×D312yes—
291#235—24no—
292C2×D12—24no—
293C2×D12C2×C3×D312yes—
294C2×D12C2×C3×D312yes—
295C2×D12C2×C3×D311yescharacteristic, complemented
296C2×C4×D3C2×C3×D312yescomplemented
297C2×Dic6C2×C3×D311yescharacteristic, complemented
298C3×C4⋊C4—92no—
299C3×C22⋊C4—98no—
300C3×C22⋊C4—92no—
301C3×C42—92no—
302#217—32no—
303#217—32no—
304#217—38no—
305#217—62no—
306(C2×D3)⋊C4—38no—
307C4⋊Dic3—32no—
308C4⋊Dic3—32no—
309C4⋊Dic3—62no—
310C4×Dic3—32no—
311C4×Dic3—32no—
312C4×Dic3—62no—
313C22×C32—22no—
314C22×C32—24no—
315C22×C32—22no—
316C22×C32—22no—
317C22×C32—21no—
318C22×C32—21no—
319C22×C32—21no—
320C22×C32—22no—
321C22×C32—22no—
322C22×C32—22no—
323C22×C32—42no—
324C22×C32—41no—
325C22×C32—42no—
326C22×C32—42no—
327C22×C32—44no—
328C22×C32—62no—
329C22×C32—64no—
330C22×C32—64no—
331C22×C32—68no—
332C22×C32—128no—
333C22×C32C2×#6712yes—
334C22×C32C2×#6712yes—
335C22×C32C2×C3×D412yes—
336C22×C32C23×D311yescharacteristic
337C22×C32C23×D311yescharacteristic
338C22×C32C24×C311yescharacteristic
339C2×C3×D3—24no—
340C2×C3×D3—28no—
341C2×C3×D3—28no—
342C2×C3×D3—24no—
343C2×C3×D3—22no—
344C2×C3×D3—24no—
345C2×C3×D3—22no—
346C2×C3×D3—24no—
347C2×C3×D3—24no—
348C2×C3×D3—28no—
349C2×C3×D3—44no—
350C2×C3×D3—48no—
351C2×C3×D3—416no—
352C2×C3×D3—48no—
353C2×C3×D3—48no—
354C32×C4—22no—
355C32×C4—22no—
356C32×C4—22no—
357C32×C4—22no—
358C32×C4—22no—
359C32×C4—22no—
360C32×C4—42no—
361C32×C4—42no—
362C32×C4—62no—
363C32×C4C2×#6712yes—
364C32×C4C2×#6712yes—
365C32×C4C2×#6712yes—
366C32×C4C2×#6712yes—
367C32×C4C2×C3×D412yes—
368C32×C4C2×C3×D412yes—
369C3⋊Dic3—24no—
370C3×Dic3—24no—
371C3×Dic3—22no—
372C3×Dic3—22no—
373C3×Dic3—64no—
374C3×Dic3—64no—
375C3×Dic3—124no—
376C2×#41—31no—
377C22×D4—31no—
378#127—92no—
379#124—92no—
380#121—94no—
381#120—94no—
382#117—91no—
383C33#53511yescharacteristic, complemented, Sylow
384C23×C3—21no—
385C23×C3—21no—
386C23×C3—21no—
387C23×C3—34no—
388C23×C3—32no—
389C23×C3—34no—
390C23×C3—32no—
391C23×C3—41no—
392C23×C3—62no—
393C23×C3—64no—
394C23×C3—68no—
395C23×C3—64no—
396C23×C3—64no—
397C23×C3—124no—
398C23×C3—124no—
399C23×C3—128no—
400C23×C3C2×D3211yescharacteristic
401C23×C3C22×C3×D311yescharacteristic
402C23×C3C22×C3×D311yescharacteristic
403C22×D3—24no—
404C22×D3—44no—
405C22×D3C22×C3×D314yes—
406C22×D3C22×C3×D312yes—
407C3×Q8—64no—
408C3×Q8—62no—
409C3×Q8—62no—
410C3×D4—68no—
411C3×D4—68no—
412C3×D4—64no—
413C3×D4—68no—
414C3×D4—64no—
415C3×D4—64no—
416C3×D4—64no—
417C3×D4—64no—
418C3×D4—62no—
419C3×D4—64no—
420C3×D4—64no—
421C3×D4—62no—
422C3×D4—368no—
423C2×C3×C4—24no—
424C2×C3×C4—24no—
425C2×C3×C4—24no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4—21no—
429C2×C3×C4—21no—
430C2×C3×C4—21no—
431C2×C3×C4—21no—
432C2×C3×C4—32no—
433C2×C3×C4—32no—
434C2×C3×C4—44no—
435C2×C3×C4—41no—
436C2×C3×C4—41no—
437C2×C3×C4—62no—
438C2×C3×C4—68no—
439C2×C3×C4—64no—
440C2×C3×C4—64no—
441C2×C3×C4—94no—
442C2×C3×C4#62514yescomplemented
443C2×C3×C4C3×#6714yescomplemented
444C2×C3×C4C3×#6714yescomplemented
445C2×C3×C4C2×D3211yescharacteristic
446C2×C3×C4C2×D3211yescharacteristic
447C2×C3×C4C22×C3×D311yescharacteristic
448C2×C3×C4C22×C3×D311yescharacteristic
449C2×C3×C4C22×C3×D311yescharacteristic
450C2×C3×C4C22×C3×D311yescharacteristic
451#67—24no—
452#67—128no—
453#67—128no—
454C2×Dic3—34no—
455C2×Dic3—34no—
456C2×Dic3—64no—
457C2×Dic3C22×C3×D312yes—
458D12—24no—
459D12—24no—
460D12—22no—
461C4×D3—24no—
462Dic6—22no—
463C2×C32—22no—
464C2×C32—24no—
465C2×C32—22no—
466C2×C32—22no—
467C2×C32—22no—
468C2×C32—21no—
469C2×C32—22no—
470C2×C32—22no—
471C2×C32—21no—
472C2×C32—21no—
473C2×C32—41no—
474C2×C32—42no—
475C2×C32—42no—
476C2×C32—42no—
477C2×C32—44no—
478C2×C32—122no—
479C2×C32—124no—
480C2×C32#100412yes—
481C2×C32#100912yes—
482C2×C32C22×#6711yescharacteristic
483C2×C32C22×#6711yescharacteristic
484C2×C32C22×C3×D411yescharacteristic
485C2×C32C3×H(5,𝔽2)12yes—
486C3×D3—44no—
487C3×D3—48no—
488C3×D3—44no—
489C3×D3—42no—
490C3×D3—42no—
491C3×D3—44no—
492C24—32no—
493#41—64no—
494C2×Q8—31no—
495C2×D4—32no—
496C2×D4—32no—
497C2×D4—32no—
498C2×D4—31no—
499C2×D4—64no—
500C2×D4—98no—
501C22×C4—32no—
502C22×C4C3×D3211yescharacteristic
503C4⋊C4—92no—
504C22⋊C4—98no—
505C22⋊C4—92no—
506C42—92no—
507C22×C3—24no—
508C22×C3—22no—
509C22×C3—22no—
510C22×C3—22no—
511C22×C3—21no—
512C22×C3—21no—
513C22×C3—21no—
514C22×C3—22no—
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—42no—
518C22×C3—42no—
519C22×C3—44no—
520C22×C3—41no—
521C22×C3—42no—
522C22×C3—64no—
523C22×C3—68no—
524C22×C3—64no—
525C22×C3—68no—
526C22×C3—62no—
527C22×C3—64no—
528C22×C3—64no—
529C22×C3—68no—
530C22×C3—62no—
531C22×C3—64no—
532C22×C3—128no—
533C22×C3—124no—
534C22×C3—1216no—
535C22×C3—128no—
536C22×C3—128no—
537C22×C3C2×#62512yes—
538C22×C3C2×C3×#6712yes—
539C22×C3C2×C3×#6712yes—
540C22×C3C22×D3211yescharacteristic
541C22×C3C23×C3×D311yescharacteristic
542C22×C3C23×C3×D311yescharacteristic
543C2×D3—28no—
544C2×D3—24no—
545C2×D3—22no—
546C2×D3—24no—
547C2×D3—48no—
548C3×C4—22no—
549C3×C4—22no—
550C3×C4—22no—
551C3×C4—22no—
552C3×C4—22no—
553C3×C4—22no—
554C3×C4—42no—
555C3×C4—42no—
556C3×C4—64no—
557C3×C4—62no—
558C3×C4—62no—
559C3×C4—184no—
560C3×C4C2×#62512yes—
561C3×C4C2×#62512yes—
562C3×C4C2×C3×#6712yes—
563C3×C4C2×C3×#6712yes—
564C3×C4C2×C3×#6712yes—
565C3×C4C2×C3×#6712yes—
566Dic3—22no—
567Dic3—64no—
568Dic3—64no—
569Dic3—124no—
570C32—21no—
571C32—21no—
572C32—21no—
573C32—41no—
574C32#580511yescharacteristic, complemented
575C32#583011yescharacteristic, complemented
576C32C3×#53511yescharacteristic, complemented
577C23—34no—
578C23—32no—
579C23—64no—
580C23—124no—
581C23C2×C3×D3211yescharacteristic
582Q8—62no—
583D4—64no—
584D4—64no—
585D4—64no—
586D4—62no—
587D4—368no—
588C2×C4—32no—
589C2×C4—64no—
590C2×C4—94no—
591C2×C4C3×#62514yescomplemented
592C2×C4C2×C3×D3211yescharacteristic
593C2×C4C2×C3×D3211yescharacteristic
594C2×C3—24no—
595C2×C3—22no—
596C2×C3—22no—
597C2×C3—22no—
598C2×C3—21no—
599C2×C3—21no—
600C2×C3—21no—
601C2×C3—22no—
602C2×C3—22no—
603C2×C3—22no—
604C2×C3—42no—
605C2×C3—42no—
606C2×C3—44no—
607C2×C3—41no—
608C2×C3—42no—
609C2×C3—128no—
610C2×C3—124no—
611C2×C3—122no—
612C2×C3—124no—
613C2×C3—124no—
614C2×C3—122no—
615C2×C3#6430712yes—
616C2×C3C22×#62511yescharacteristic
617C2×C3C3×#100412yes—
618C2×C3C3×#100912yes—
619C2×C3C22×C3×#6711yescharacteristic
620C2×C3C22×C3×#6711yescharacteristic
621D3—44no—
622D3—42no—
623C22—22no—
624C22—62no—
625C22—64no—
626C22—64no—
627C22—68no—
628C22—128no—
629C22C2×C3×#62512yes—
630C22C22×C3×D3211yescharacteristic
631C4—62no—
632C4—184no—
633C4C2×C3×#62512yes—
634C4C2×C3×#62512yes—
635C3—21no—
636C3—21no—
637C3—21no—
638C3—41no—
639C3#1059504011yescharacteristic, direct product factor
640C3C3×#580511yescharacteristic, complemented
641C3C3×#583011yescharacteristic, complemented
642C2—22no—
643C2—124no—
644C2—122no—
645C2C3×#6430712yes—
646C2C22×C3×#62511yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC22×C33×C4C22
socleC22×C33C24
hypercenterC22×C3×C4D32
hypocenterC32C3×#535
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
1. C2×C32×#235C2semidirect
2. C22×C32×D12C2semidirect
3. C3×#64135C2semidirect
4. C3×#63976C2semidirect
5. C3×#63914C2semidirect
6. C3×#63908C2semidirect
7. C3×#63863C2semidirect
10. #10595040C3direct (N × H)
18. C2×C32×D12C22semidirect
19. C2×C32×C4×D3C22semidirect
20. C2×C32×Dic6C22semidirect
21. C2×C3×#625C22semidirect
23. C3×C4⋊(C3⋊Dic3)C22semidirect
24. C3×C4×C3⋊Dic3C22semidirect
25. C3×(C2×D3)⋊Dic3C22semidirect
29. C2×C3×#235D3semidirect
30. C2×C3×#235C2×C3semidirect
32. C22×C3×D12D3semidirect
33. C22×C3×D12C2×C3semidirect
34. #64135C2×C3semidirect
46. #63976C2×C3semidirect
47. #63914C2×C3semidirect
48. #63908C2×C3semidirect
49. #63863C2×C3semidirect
55. C2×C33×C4D4semidirect
105. C2×C3×D12C2×D3semidirect
108. C2×C3×D12C22×C3semidirect
110. C2×C3×C4×D3C2×D3semidirect
111. C2×C3×C4×D3C22×C3semidirect
113. C2×C3×Dic6C2×D3semidirect
114. C2×C3×Dic6C22×C3semidirect
115. C2×#625C22×C3semidirect
117. C4⋊(C3⋊Dic3)C22×C3semidirect
118. C4×C3⋊Dic3C22×C3semidirect
130. (C2×D3)⋊Dic3C22×C3semidirect
149. C2×#235C3×D3semidirect
150. C22×D12C3×D3semidirect
209. C2×C32×C4#67semidirect
210. C2×C32×C4#67semidirect
211. C2×C32×C4C3×D4semidirect
295. C2×D12C2×C3×D3semidirect
296. C2×C4×D3C2×C3×D3semidirect
297. C2×Dic6C2×C3×D3semidirect
383. C33#535semidirect
442. C2×C3×C4#625semidirect
443. C2×C3×C4C3×#67semidirect
444. C2×C3×C4C3×#67semidirect
574. C32#5805semidirect
575. C32#5830semidirect
576. C32C3×#535semidirect
591. C2×C4C3×#625semidirect
639. C3#10595040direct (N × H)
640. C3C3×#5805semidirect
641. C3C3×#5830semidirect

Maximal subgroups

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

subgroupindex
C2×C32×#2352
C22×C32×D122
C3×#641352
C3×#639762
C3×#639142
C3×#639082
C3×#638632
C3×#58303
C3×#58053
#105950403