Finite Group Databasebeta

← C3×#10595091 #13174688

Subgroups — C3×#10595091 #13174688

Order 1728.

1328 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#64138C211yesmaximal, characteristic, complemented
2C32×#930C212yesmaximal, complemented
3C3×#63983C211yesmaximal, characteristic, complemented
4C3×#63979C211yesmaximal, characteristic, complemented
5C3×#63970C212yesmaximal, complemented
6C3×#63922C212yesmaximal, complemented
7C3×#63890C212yesmaximal, complemented
8C3×#63885C212yesmaximal, complemented
9C3×#63858C212yesmaximal, complemented
10C3×#5620—32nomaximal
11#10595091C311yesmaximal, characteristic, direct product factor
12C22×C3×D32C2211yescharacteristic
13C22×C33×C4C2211yescharacteristic, complemented
14C2×C3×#638C2211yescharacteristic
15C2×C32×#67C2212yes—
16C2×C32×#67C2212yescomplemented
17C2×C32×D12C2212yes—
18C2×C3×#626C2212yes—
19C2×C3×#625C2212yes—
20C2×C3×#625C2211yescharacteristic, complemented
21C2×C3×D3×Dic3C2212yescomplemented
22C3×#3757C2211yescharacteristic, complemented
23C3×#3752C2212yes—
24C3×#3750C2212yescomplemented
25C32×(C2×D3)⋊C4C2212yes—
26C32×(C2×D3)⋊C4C2212yescomplemented
27C32×C4⋊Dic3C2212yescomplemented
28C3×Dic3⋊Dic3C2212yescomplemented
29C3×#3722C2211yescharacteristic
30C3×(C2×D3)⋊Dic3C2212yes—
31C3×(C2×D3)⋊Dic3C2212yes—
32C3×Dic32C2211yescharacteristic, complemented
33C32×#121—32no—
34#64138C2×C311yescharacteristic, complemented
35C3×#940—32no—
36C3×#939—32no—
37C3×#939—32no—
38C3×#938—32no—
39C3×#937—32no—
40C3×#937—32no—
41C3×#930—22no—
42C3×#930D312yescomplemented
43C3×#930C2×C312yescomplemented
44C3×#929—32no—
45C3×#929—61no—
46C3×#898—32no—
47C3×#894—32no—
48C3×#886—32no—
49C3×#884—32no—
50C3×#882—32no—
51C3×#879—32no—
52#63983C2×C311yescharacteristic, complemented
53#63979C2×C311yescharacteristic, complemented
54#63970C2×C312yescomplemented
55#63922C2×C312yescomplemented
56#63890C2×C312yescomplemented
57#63885C2×C312yescomplemented
58#63858C2×C312yescomplemented
59C23×C33C2311yescharacteristic
60C22×C3×C3⋊D3C2311yescharacteristic
61C22×C32×D3C2312yes—
62C22×C32×D3C2312yes—
63C2×C3×D32—42no—
64C2×C3×D32—41no—
65C2×C33×C4—41no—
66C2×C33×C4C2312yes—
67C3×#638—41no—
68C2×C3×C3⋊Dic3C2311yescharacteristic
69C2×C3×C3⋊Dic3C2312yes—
70C32×#67—42no—
71C32×#67—42no—
72C2×C32×Dic3C2312yes—
73C2×C32×Dic3C2312yes—
74C32×D12—42no—
75C3×#626—42no—
76C3×#625—42no—
77C3×#625—41no—
78C3×D3×Dic3—42no—
79C3×#560—91no—
80#5620—32no—
81C23×C3×D3—32no—
82C22×D32C22×C311yescharacteristic
83C2×C32×D4—32no—
84C2×C32×D4—32no—
85C2×C32×D4—32no—
86C22×C32×C4—21no—
87C22×C32×C4—22no—
88C22×C32×C4—41no—
89C22×C32×C4C2×D312yescomplemented
90C22×C32×C4C22×C311yescharacteristic, complemented
91C2×#638C22×C311yescharacteristic
92C2×C3×#67—22no—
93C2×C3×#67—22no—
94C2×C3×#67—32no—
95C2×C3×#67—32no—
96C2×C3×#67—32no—
97C2×C3×#67—32no—
98C2×C3×#67—32no—
99C2×C3×#67—61no—
100C2×C3×#67C2×D312yes—
101C2×C3×#67C2×D312yescomplemented
102C2×C3×#67C22×C312yes—
103C2×C3×#67C22×C312yescomplemented
104C22×C3×Dic3—32no—
105C2×C3×D12—22no—
106C2×C3×D12—32no—
107C2×C3×D12C2×D312yes—
108C2×C3×D12C22×C312yes—
109C2×C3×C4×D3—32no—
110C2×#626C22×C312yes—
111C2×#625C22×C312yes—
112C2×#625C22×C311yescharacteristic, complemented
113C2×D3×Dic3C22×C312yescomplemented
114C32×C4⋊C4—32no—
115C32×C22⋊C4—32no—
116C32×C22⋊C4—32no—
117#3757C22×C311yescharacteristic, complemented
118#3752C22×C312yes—
119#3750C22×C312yescomplemented
120C3×#217—32no—
121C3×#217—32no—
122C3×#217—32no—
123C3×#217—61no—
124C3×(C2×D3)⋊C4—22no—
125C3×(C2×D3)⋊C4—22no—
126C3×(C2×D3)⋊C4—32no—
127C3×(C2×D3)⋊C4—32no—
128C3×(C2×D3)⋊C4—32no—
129C3×(C2×D3)⋊C4—32no—
130C3×(C2×D3)⋊C4—32no—
131C3×(C2×D3)⋊C4—62no—
132C3×(C2×D3)⋊C4C2×D312yes—
133C3×(C2×D3)⋊C4C2×D312yescomplemented
134C3×(C2×D3)⋊C4C22×C312yes—
135C3×(C2×D3)⋊C4C22×C312yescomplemented
136C3×C4⋊Dic3—22no—
137C3×C4⋊Dic3—32no—
138C3×C4⋊Dic3C2×D312yescomplemented
139C3×C4⋊Dic3C22×C312yescomplemented
140C3×Dic3⋊C4—32no—
141C3×Dic3⋊C4—32no—
142C3×Dic3⋊C4—32no—
143C3×Dic3⋊C4—62no—
144C3×C4×Dic3—32no—
145Dic3⋊Dic3C22×C312yescomplemented
146#3722C22×C311yescharacteristic
147(C2×D3)⋊Dic3C22×C312yes—
148(C2×D3)⋊Dic3C22×C312yes—
149Dic32C22×C311yescharacteristic, complemented
150C22×C33—22no—
151C22×C33—21no—
152C22×C33C2411yescharacteristic
153C2×C3×C3⋊D3—22no—
154C2×C3×C3⋊D3—21no—
155C2×C32×D3—22no—
156C2×C32×D3—22no—
157C2×C32×D3—22no—
158C2×C32×D3—22no—
159C2×C32×D3—22no—
160C2×C32×D3—22no—
161C3×D32—44no—
162C33×C4—22no—
163C3×C3⋊Dic3—22no—
164C3×C3⋊Dic3—21no—
165C32×Dic3—22no—
166C32×Dic3—22no—
167C3×#127—91no—
168C3×#126—92no—
169C3×#123—92no—
170C3×#123—91no—
171C3×#121—32no—
172C3×#121—32no—
173C3×#121—62no—
174C3×#121—92no—
175C3×#121—92no—
176C3×#120—92no—
177C3×#120—91no—
178#940—32no—
179#939—32no—
180#939—32no—
181#938—32no—
182#937—32no—
183#937—32no—
184#930C3×D312yescomplemented
185#929—32no—
186#929—61no—
187#898—32no—
188#894—32no—
189#886—32no—
190#884—32no—
191#882—32no—
192#879—32no—
193C23×C32—21no—
194C23×C32—22no—
195C23×C32—32no—
196C23×C32—32no—
197C23×C32—41no—
198C23×C32C22×D312yes—
199C23×C32C23×C311yescharacteristic
200C22×C3⋊D3C23×C311yescharacteristic
201C22×C3×D3—22no—
202C22×C3×D3—22no—
203C22×C3×D3—32no—
204C22×C3×D3—61no—
205C22×C3×D3—122no—
206C22×C3×D3—122no—
207C22×C3×D3—122no—
208C22×C3×D3C22×D312yes—
209C22×C3×D3C22×D312yes—
210C22×C3×D3C23×C312yes—
211C22×C3×D3C23×C312yes—
212C2×D32—42no—
213C2×D32—41no—
214C32×D4—122no—
215C32×D4—122no—
216C32×D4—122no—
217C2×C32×C4—22no—
218C2×C32×C4—22no—
219C2×C32×C4—22no—
220C2×C32×C4—32no—
221C2×C32×C4—32no—
222C2×C32×C4—42no—
223C2×C32×C4—42no—
224C2×C32×C4—41no—
225C2×C32×C4—44no—
226C2×C32×C4—42no—
227C2×C32×C4—44no—
228C2×C32×C4C22×D312yes—
229C2×C32×C4C22×D312yes—
230C2×C32×C4C23×C312yes—
231#638—41no—
232C2×C3⋊Dic3C23×C311yescharacteristic
233C2×C3⋊Dic3C23×C312yes—
234C3×#67—42no—
235C3×#67—42no—
236C3×#67—42no—
237C3×#67—42no—
238C3×#67—44no—
239C3×#67—44no—
240C3×#67—122no—
241C3×#67—122no—
242C3×#67—122no—
243C3×#67—122no—
244C3×#67—122no—
245C3×#67—122no—
246C2×C3×Dic3—22no—
247C2×C3×Dic3—22no—
248C2×C3×Dic3—32no—
249C2×C3×Dic3—32no—
250C2×C3×Dic3—32no—
251C2×C3×Dic3—61no—
252C2×C3×Dic3—62no—
253C2×C3×Dic3—122no—
254C2×C3×Dic3C22×D312yes—
255C2×C3×Dic3C22×D312yes—
256C2×C3×Dic3C23×C312yes—
257C2×C3×Dic3C23×C312yes—
258C3×D12—42no—
259C3×D12—42no—
260C3×D12—44no—
261C3×D12—122no—
262C3×C4×D3—122no—
263#626—42no—
264#625—42no—
265#625—41no—
266D3×Dic3—42no—
267#560—91noSylow
268C2×C33—41no—
269C2×C33H(5,𝔽2)11yescharacteristic
270C2×C33H(5,𝔽2)12yes—
271C3×C3⋊D3—41no—
272C32×D3—42no—
273C32×D3—42no—
274C24×C3—91no—
275C23×D3—32no—
276C2×C3×D4—32no—
277C2×C3×D4—32no—
278C2×C3×D4—32no—
279C2×C3×D4—32no—
280C2×C3×D4—32no—
281C2×C3×D4—32no—
282C2×C3×D4—62no—
283C2×C3×D4—62no—
284C2×C3×D4—62no—
285C2×C3×D4—92no—
286C2×C3×D4—92no—
287C2×C3×D4—91no—
288C2×C3×D4—91no—
289C22×C3×C4—21no—
290C22×C3×C4—22no—
291C22×C3×C4—41no—
292C22×C3×C4—92no—
293C22×C3×C4D3211yescharacteristic, complemented
294C22×C3×C4C2×C3×D312yescomplemented
295C2×#67—32no—
296C2×#67—32no—
297C2×#67—32no—
298C2×#67—32no—
299C2×#67—32no—
300C2×#67—61no—
301C2×#67C2×C3×D312yes—
302C2×#67C2×C3×D312yescomplemented
303C22×Dic3—32no—
304C2×D12—32no—
305C2×D12C2×C3×D312yes—
306C2×C4×D3—32no—
307C3×C4⋊C4—32no—
308C3×C4⋊C4—32no—
309C3×C4⋊C4—62no—
310C3×C4⋊C4—92no—
311C3×C4⋊C4—92no—
312C3×C22⋊C4—32no—
313C3×C22⋊C4—32no—
314C3×C22⋊C4—32no—
315C3×C22⋊C4—32no—
316C3×C22⋊C4—62no—
317C3×C22⋊C4—62no—
318C3×C22⋊C4—91no—
319C3×C22⋊C4—92no—
320C3×C22⋊C4—92no—
321C3×C22⋊C4—91no—
322C3×C22⋊C4—92no—
323C3×C42—91no—
324#217—32no—
325#217—32no—
326#217—32no—
327#217—61no—
328(C2×D3)⋊C4—32no—
329(C2×D3)⋊C4—32no—
330(C2×D3)⋊C4—32no—
331(C2×D3)⋊C4—32no—
332(C2×D3)⋊C4—32no—
333(C2×D3)⋊C4—62no—
334(C2×D3)⋊C4C2×C3×D312yes—
335(C2×D3)⋊C4C2×C3×D312yescomplemented
336C4⋊Dic3—32no—
337C4⋊Dic3C2×C3×D312yescomplemented
338Dic3⋊C4—32no—
339Dic3⋊C4—32no—
340Dic3⋊C4—32no—
341Dic3⋊C4—62no—
342C4×Dic3—32no—
343C22×C32—22no—
344C22×C32—21no—
345C22×C32—24no—
346C22×C32—22no—
347C22×C32—22no—
348C22×C32—22no—
349C22×C32—22no—
350C22×C32—21no—
351C22×C32—22no—
352C22×C32—41no—
353C22×C32—42no—
354C22×C32—42no—
355C22×C32—42no—
356C22×C32—42no—
357C22×C32—44no—
358C22×C32—62no—
359C22×C32—62no—
360C22×C32—62no—
361C22×C32—62no—
362C22×C32—62no—
363C22×C32—62no—
364C22×C32C23×D312yes—
365C22×C32C24×C311yescharacteristic
366C2×C3⋊D3—22no—
367C2×C3⋊D3—21no—
368C2×C3×D3—22no—
369C2×C3×D3—22no—
370C2×C3×D3—22no—
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—22no—
378C2×C3×D3—22no—
379C2×C3×D3—22no—
380C2×C3×D3—42no—
381C2×C3×D3—42no—
382C2×C3×D3—42no—
383C2×C3×D3—42no—
384C2×C3×D3—42no—
385C2×C3×D3—42no—
386C2×C3×D3—62no—
387C2×C3×D3—62no—
388C2×C3×D3—62no—
389C2×C3×D3—121no—
390C2×C3×D3—122no—
391C2×C3×D3—128no—
392D32—44no—
393C32×C4—22no—
394C32×C4—24no—
395C32×C4—22no—
396C32×C4—22no—
397C32×C4—42no—
398C32×C4—42no—
399C32×C4—44no—
400C32×C4—62no—
401C32×C4—62no—
402C3⋊Dic3—22no—
403C3⋊Dic3—21no—
404C3×Dic3—22no—
405C3×Dic3—22no—
406C3×Dic3—22no—
407C3×Dic3—22no—
408C3×Dic3—42no—
409C3×Dic3—42no—
410C3×Dic3—62no—
411C3×Dic3—62no—
412C3×Dic3—62no—
413C3×Dic3—122no—
414C3×Dic3—121no—
415#127—91no—
416#126—92no—
417#123—92no—
418#123—91no—
419#121—32no—
420#121—92no—
421#121—92no—
422#120—92no—
423#120—91no—
424C33#56011yescharacteristic, complemented, Sylow
425C23×C3—22no—
426C23×C3—21no—
427C23×C3—32no—
428C23×C3—32no—
429C23×C3—32no—
430C23×C3—32no—
431C23×C3—41no—
432C23×C3—62no—
433C23×C3—62no—
434C23×C3—91no—
435C23×C3—362no—
436C23×C3—361no—
437C23×C3C2×D3211yescharacteristic
438C23×C3C22×C3×D312yes—
439C22×D3—32no—
440C22×D3—61no—
441C22×D3—122no—
442C22×D3—122no—
443C22×D3—122no—
444C22×D3C22×C3×D312yes—
445C22×D3C22×C3×D312yes—
446C3×D4—122no—
447C3×D4—122no—
448C3×D4—124no—
449C3×D4—122no—
450C3×D4—122no—
451C3×D4—122no—
452C3×D4—122no—
453C3×D4—124no—
454C3×D4—124no—
455C3×D4—362no—
456C3×D4—361no—
457C3×D4—362no—
458C3×D4—361no—
459C2×C3×C4—22no—
460C2×C3×C4—22no—
461C2×C3×C4—22no—
462C2×C3×C4—32no—
463C2×C3×C4—32no—
464C2×C3×C4—32no—
465C2×C3×C4—32no—
466C2×C3×C4—41no—
467C2×C3×C4—42no—
468C2×C3×C4—44no—
469C2×C3×C4—42no—
470C2×C3×C4—44no—
471C2×C3×C4—42no—
472C2×C3×C4—62no—
473C2×C3×C4—62no—
474C2×C3×C4—91no—
475C2×C3×C4—92no—
476C2×C3×C4—362no—
477C2×C3×C4C2×D3212yes—
478C2×C3×C4C22×C3×D312yes—
479C2×C3×C4C22×C3×D312yes—
480#67—42no—
481#67—42no—
482#67—122no—
483#67—122no—
484#67—122no—
485#67—122no—
486#67—122no—
487#67—122no—
488C2×Dic3—32no—
489C2×Dic3—32no—
490C2×Dic3—32no—
491C2×Dic3—61no—
492C2×Dic3—62no—
493C2×Dic3—122no—
494C2×Dic3C22×C3×D312yes—
495C2×Dic3C22×C3×D312yes—
496D12—42no—
497D12—122no—
498C4×D3—122no—
499C2×C32—22no—
500C2×C32—21no—
501C2×C32—22no—
502C2×C32—22no—
503C2×C32—22no—
504C2×C32—41no—
505C2×C32—42no—
506C2×C32—42no—
507C2×C32—44no—
508C2×C32—44no—
509C2×C32—41no—
510C2×C32—42no—
511C2×C32—122no—
512C2×C32—122no—
513C2×C32#100412yes—
514C2×C32#100412yes—
515C2×C32#100912yes—
516C2×C32C3×H(5,𝔽2)11yescharacteristic
517C2×C32C3×H(5,𝔽2)12yes—
518C3⋊D3—41no—
519C3×D3—42no—
520C3×D3—42no—
521C3×D3—42no—
522C3×D3—42no—
523C3×D3—82no—
524C3×D3—82no—
525C3×D3—122no—
526C3×D3—241no—
527C24—91no—
528C2×D4—32no—
529C2×D4—32no—
530C2×D4—32no—
531C2×D4—92no—
532C2×D4—92no—
533C2×D4—91no—
534C2×D4—91no—
535C22×C4—92no—
536C22×C4C3×D3211yescharacteristic, complemented
537C4⋊C4—32no—
538C4⋊C4—92no—
539C4⋊C4—92no—
540C22⋊C4—32no—
541C22⋊C4—32no—
542C22⋊C4—91no—
543C22⋊C4—92no—
544C22⋊C4—92no—
545C22⋊C4—91no—
546C22⋊C4—92no—
547C42—91no—
548C22×C3—22no—
549C22×C3—24no—
550C22×C3—22no—
551C22×C3—21no—
552C22×C3—22no—
553C22×C3—22no—
554C22×C3—22no—
555C22×C3—21no—
556C22×C3—22no—
557C22×C3—42no—
558C22×C3—42no—
559C22×C3—42no—
560C22×C3—42no—
561C22×C3—44no—
562C22×C3—41no—
563C22×C3—62no—
564C22×C3—62no—
565C22×C3—62no—
566C22×C3—62no—
567C22×C3—62no—
568C22×C3—62no—
569C22×C3—62no—
570C22×C3—62no—
571C22×C3—62no—
572C22×C3—62no—
573C22×C3—62no—
574C22×C3—62no—
575C22×C3—122no—
576C22×C3—122no—
577C22×C3—122no—
578C22×C3—122no—
579C22×C3—122no—
580C22×C3—122no—
581C22×C3—182no—
582C22×C3—181no—
583C22×C3—364no—
584C22×C3C22×D3211yescharacteristic
585C22×C3C23×C3×D312yes—
586C2×D3—22no—
587C2×D3—22no—
588C2×D3—22no—
589C2×D3—22no—
590C2×D3—22no—
591C2×D3—22no—
592C2×D3—62no—
593C2×D3—62no—
594C2×D3—62no—
595C2×D3—121no—
596C2×D3—122no—
597C2×D3—128no—
598C3×C4—24no—
599C3×C4—22no—
600C3×C4—22no—
601C3×C4—22no—
602C3×C4—42no—
603C3×C4—42no—
604C3×C4—44no—
605C3×C4—62no—
606C3×C4—62no—
607C3×C4—62no—
608C3×C4—62no—
609C3×C4—122no—
610C3×C4—122no—
611C3×C4—182no—
612C3×C4—181no—
613Dic3—22no—
614Dic3—22no—
615Dic3—62no—
616Dic3—62no—
617Dic3—62no—
618Dic3—121no—
619Dic3—122no—
620C32—21no—
621C32—22no—
622C32—41no—
623C32#562012yescomplemented
624C32C3×#56011yescharacteristic, complemented
625C23—32no—
626C23—32no—
627C23—91no—
628C23—361no—
629C23—362no—
630C23C2×C3×D3211yescharacteristic
631D4—122no—
632D4—122no—
633D4—122no—
634D4—362no—
635D4—361no—
636D4—361no—
637D4—362no—
638C2×C4—32no—
639C2×C4—32no—
640C2×C4—41no—
641C2×C4—91no—
642C2×C4—92no—
643C2×C4—362no—
644C2×C4C2×C3×D3212yes—
645C2×C3—21no—
646C2×C3—22no—
647C2×C3—22no—
648C2×C3—22no—
649C2×C3—22no—
650C2×C3—42no—
651C2×C3—44no—
652C2×C3—44no—
653C2×C3—41no—
654C2×C3—42no—
655C2×C3—41no—
656C2×C3—42no—
657C2×C3—122no—
658C2×C3—122no—
659C2×C3—122no—
660C2×C3—122no—
661C2×C3—242no—
662C2×C3—242no—
663C2×C3—361no—
664C2×C3#6430712yes—
665C2×C3#6433011yescharacteristic
666C2×C3C3×#100412yes—
667C2×C3C3×#100412yes—
668C2×C3C3×#100912yes—
669D3—42no—
670D3—42no—
671D3—122no—
672D3—241no—
673C22—21no—
674C22—22no—
675C22—62no—
676C22—62no—
677C22—62no—
678C22—62no—
679C22—62no—
680C22—62no—
681C22—181no—
682C22—182no—
683C22—364no—
684C22C22×C3×D3211yescharacteristic
685C4—22no—
686C4—62no—
687C4—62no—
688C4—181no—
689C4—182no—
690C3—21no—
691C3—22no—
692C3—41no—
693C3#1059509111yescharacteristic, direct product factor
694C3C3×#562012yescomplemented
695C2—41no—
696C2—122no—
697C2—122no—
698C2—361no—
699C2C3×#6430712yes—
700C2C3×#6433011yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC22×C33×C4C22
socleC22×C33C24
hypercenterC22×C3×C4D32
hypocenterC32C3×#560
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. C3×#64138C2semidirect
2. C32×#930C2semidirect
3. C3×#63983C2semidirect
4. C3×#63979C2semidirect
5. C3×#63970C2semidirect
6. C3×#63922C2semidirect
7. C3×#63890C2semidirect
8. C3×#63885C2semidirect
9. C3×#63858C2semidirect
11. #10595091C3direct (N × H)
13. C22×C33×C4C22semidirect
16. C2×C32×#67C22semidirect
20. C2×C3×#625C22semidirect
21. C2×C3×D3×Dic3C22semidirect
22. C3×#3757C22semidirect
24. C3×#3750C22semidirect
26. C32×(C2×D3)⋊C4C22semidirect
27. C32×C4⋊Dic3C22semidirect
28. C3×Dic3⋊Dic3C22semidirect
32. C3×Dic32C22semidirect
34. #64138C2×C3semidirect
42. C3×#930D3semidirect
43. C3×#930C2×C3semidirect
52. #63983C2×C3semidirect
53. #63979C2×C3semidirect
54. #63970C2×C3semidirect
55. #63922C2×C3semidirect
56. #63890C2×C3semidirect
57. #63885C2×C3semidirect
58. #63858C2×C3semidirect
89. C22×C32×C4C2×D3semidirect
90. C22×C32×C4C22×C3semidirect
101. C2×C3×#67C2×D3semidirect
103. C2×C3×#67C22×C3semidirect
112. C2×#625C22×C3semidirect
113. C2×D3×Dic3C22×C3semidirect
117. #3757C22×C3semidirect
119. #3750C22×C3semidirect
133. C3×(C2×D3)⋊C4C2×D3semidirect
135. C3×(C2×D3)⋊C4C22×C3semidirect
138. C3×C4⋊Dic3C2×D3semidirect
139. C3×C4⋊Dic3C22×C3semidirect
145. Dic3⋊Dic3C22×C3semidirect
149. Dic32C22×C3semidirect
184. #930C3×D3semidirect
293. C22×C3×C4D32semidirect
294. C22×C3×C4C2×C3×D3semidirect
302. C2×#67C2×C3×D3semidirect
335. (C2×D3)⋊C4C2×C3×D3semidirect
337. C4⋊Dic3C2×C3×D3semidirect
424. C33#560semidirect
536. C22×C4C3×D32semidirect
623. C32#5620semidirect
624. C32C3×#560semidirect
693. C3#10595091direct (N × H)
694. C3C3×#5620semidirect

Maximal subgroups

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

subgroupindex
C3×#641382
C32×#9302
C3×#639832
C3×#639792
C3×#639702
C3×#639222
C3×#638902
C3×#638852
C3×#638582
C3×#56203
#105950913