Finite Group Databasebeta

← C3×#82309 #11870850

Subgroups — C3×#82309 #11870850

Order 1152.

1121 conjugacy classes of subgroups.

The subgroup lattice has 635 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×C4×D4C211yesmaximal, characteristic, complemented
2C3×#5479C211yesmaximal, characteristic, complemented
3C3×#5218C211yesmaximal, characteristic, complemented
4C3×#5217C211yesmaximal, characteristic
5C3×C4×#214C212yesmaximal, complemented
6C3×#5016C212yesmaximal, complemented
7C3×C4×#213C212yesmaximal, complemented
8C3×#5009C212yesmaximal, complemented
9C3×#4970C211yesmaximal, characteristic, complemented
10C3×#4968C211yesmaximal, characteristic, complemented
11C3×#4925C211yesmaximal, characteristic, complemented
12C3×#3105—31nomaximal
13#82309C311yesmaximal, characteristic, direct product factor
14C22×C32×D4C2211yescharacteristic
15C23×C32×C4—21no—
16C32×C4×D4—21no—
17C32×C4×D4—21no—
18C32×C4×D4C2212yes—
19C32×C4×D4C2212yes—
20C2×C32×C4⋊C4C2211yescharacteristic
21C2×C32×C22⋊C4—21no—
22C2×C32×C42C2211yescharacteristic
23C2×C3×#214C2212yes—
24C2×C3×#213C2212yes—
25C3×#930C2211yescharacteristic
26C3×#929—21no—
27C3×C4×#67—21no—
28C3×#924C2211yescharacteristic
29C3×#876—21no—
30C3×#875C2211yescharacteristic, complemented
31C3×C4×D12C2211yescharacteristic, complemented
32C3×#872—21no—
33C3×#870C2211yescharacteristic, complemented
34C3×C4×Dic6C2211yescharacteristic, complemented
35C3×#832C2212yes—
36C3×#832C2212yes—
37C3×#830C2211yescharacteristic
38C3×#830C2211yescharacteristic
39C3×#810C2212yescomplemented
40C3×#809C2212yescomplemented
41C3×#808C2212yescomplemented
42C3×#807C2212yescomplemented
43C3×C4⋊(C3⋊C8)C2212yescomplemented
44C3×C4×C3⋊C8C2212yescomplemented
45C3×#529—31no—
46C2×C3×C4×D4—21no—
47C2×C3×C4×D4D311yescharacteristic, complemented
48C2×C3×C4×D4C2×C311yescharacteristic, complemented
49#5479C2×C311yescharacteristic, complemented
50C3×#484—31no—
51C3×#481—31no—
52C3×#478—32no—
53C3×#463—32no—
54C3×#450—31no—
55C3×#447—31no—
56C3×C4×SD16—32no—
57C3×C4×D8—32no—
58C3×#431—31no—
59#5218C2×C311yescharacteristic, complemented
60#5217C2×C311yescharacteristic
61C4×#214C2×C312yescomplemented
62#5016C2×C312yescomplemented
63C4×#213C2×C312yescomplemented
64#5009C2×C312yescomplemented
65#4970C2×C311yescharacteristic, complemented
66#4968C2×C311yescharacteristic, complemented
67#4925C2×C311yescharacteristic, complemented
68C24×C32—21no—
69C2×C32×D4—24no—
70C2×C32×D4—21no—
71C2×C32×D4C2312yes—
72C22×C32×C4—21no—
73C22×C32×C4—22no—
74C22×C32×C4—22no—
75C22×C32×C4—44no—
76C22×C32×C4D411yescharacteristic
77C22×C32×C4D411yescharacteristic
78C22×C32×C4C2311yescharacteristic
79C2×C3×#67—21no—
80C2×C3×D12C2311yescharacteristic
81C2×C3×C4×D3—21no—
82C2×C3×Dic6C2311yescharacteristic
83C32×C4⋊C4—21no—
84C32×C4⋊C4C2312yes—
85C32×C22⋊C4—22no—
86C32×C22⋊C4—22no—
87C32×C42D411yescharacteristic
88C32×C42D411yescharacteristic
89C32×C42C2311yescharacteristic
90C32×C42C2311yescharacteristic
91C3×#217—21no—
92C3×#214—24no—
93C3×#213—24no—
94C3×(C2×D3)⋊C4—21no—
95C3×(C2×D3)⋊C4—21no—
96C3×(C2×D3)⋊C4—21no—
97C3×(C2×D3)⋊C4—21no—
98C3×C4⋊Dic3C2311yescharacteristic
99C3×C4⋊Dic3C2311yescharacteristic
100C3×Dic3⋊C4—21no—
101C3×Dic3⋊C4—21no—
102C3×Dic3⋊C4—21no—
103C3×Dic3⋊C4—21no—
104C3×C4×Dic3—21no—
105C2×C3×C3⋊C8C2312yes—
106C2×C3×C3⋊C8C2312yes—
107#3105—31noSylow
108C22×C3×D4—21no—
109C22×C3×D4C2×D311yescharacteristic
110C22×C3×D4C22×C311yescharacteristic
111C23×C3×C4—22no—
112C23×C3×C4—21no—
113C23×C3×C4—21no—
114C2×C3×SD16—32no—
115C2×C3×D8—32no—
116C3×#126—61no—
117C3×#125—31no—
118C3×#124—31no—
119C3×#123—61no—
120C3×C22⋊Q8—31no—
121C3×#121—31no—
122C3×C4×Q8—31no—
123C3×C4×D4—22no—
124C3×C4×D4—22no—
125C3×C4×D4—21no—
126C3×C4×D4—21no—
127C3×C4×D4—21no—
128C3×C4×D4—21no—
129C3×C4×D4—22no—
130C3×C4×D4—22no—
131C3×C4×D4—31no—
132C3×C4×D4—61no—
133C3×C4×D4C2×D312yes—
134C3×C4×D4C2×D312yes—
135C3×C4×D4C22×C312yes—
136C3×C4×D4C22×C312yes—
137C3×#117—61no—
138C2×C3×C4⋊C4—21no—
139C2×C3×C4⋊C4C2×D311yescharacteristic
140C2×C3×C4⋊C4C22×C311yescharacteristic
141C2×C3×C22⋊C4—22no—
142C2×C3×C22⋊C4—21no—
143C2×C3×C22⋊C4—21no—
144C2×C3×C42—21no—
145C2×C3×C42C2×D311yescharacteristic
146C2×C3×C42C22×C311yescharacteristic
147C2×#214C22×C312yes—
148C2×#213C22×C312yes—
149#930C22×C311yescharacteristic
150#929—21no—
151C4×#67—21no—
152#924C22×C311yescharacteristic
153#876—21no—
154#875C22×C311yescharacteristic, complemented
155C4×D12C22×C311yescharacteristic, complemented
156#872—21no—
157#870C22×C311yescharacteristic, complemented
158C4×Dic6C22×C311yescharacteristic, complemented
159C3×#107—32no—
160C3×#106—32no—
161C3×C4⋊C8—32no—
162C3×#103—32no—
163C3×#102—32no—
164C3×#102—32no—
165C3×#102—32no—
166C3×C22⋊C8—31no—
167C3×C22⋊C8—31no—
168C3×C4×C8—32no—
169#832C22×C312yes—
170#832C22×C312yes—
171#830C22×C311yescharacteristic
172#830C22×C311yescharacteristic
173#810C22×C312yescomplemented
174#809C22×C312yescomplemented
175#808C22×C312yescomplemented
176#807C22×C312yescomplemented
177C4⋊(C3⋊C8)C22×C312yescomplemented
178C4×C3⋊C8C22×C312yescomplemented
179C23×C32—24no—
180C23×C32—22no—
181C23×C32—42no—
182C23×C32—42no—
183C23×C32C2×D411yescharacteristic
184C22×C3×D3—21no—
185C32×D4—24no—
186C32×D4—22no—
187C32×D4#4114yes—
188C2×C32×C4—22no—
189C2×C32×C4—22no—
190C2×C32×C4—22no—
191C2×C32×C4—22no—
192C2×C32×C4—44no—
193C2×C32×C4—42no—
194C2×C32×C4—44no—
195C2×C32×C4C2×D411yescharacteristic
196C2×C32×C4C2×D411yescharacteristic
197C2×C32×C4C2×D411yescharacteristic
198C2×C32×C4C2×D411yescharacteristic
199C2×C32×C4C2×D411yescharacteristic
200C2×C32×C4C2411yescharacteristic
201C3×#67—42no—
202C2×C3×Dic3—21no—
203C2×C3×Dic3—21no—
204C2×C3×Dic3—21no—
205C3×D12—22no—
206C3×C4×D3—42no—
207C3×Dic6—22no—
208C3×C3⋊C8—22no—
209C3×C3⋊C8—22no—
210#529—31no—
211C2×C4×D4C3×D311yescharacteristic, complemented
212#484—31no—
213#481—31no—
214#478—32no—
215#463—32no—
216#450—31no—
217#447—31no—
218C4×SD16—32no—
219C4×D8—32no—
220#431—31no—
221C24×C3—22no—
222C24×C3—21no—
223C24×C3—21no—
224C2×C3×Q8—31no—
225C2×C3×D4—22no—
226C2×C3×D4—28no—
227C2×C3×D4—24no—
228C2×C3×D4—24no—
229C2×C3×D4—21no—
230C2×C3×D4—21no—
231C2×C3×D4—22no—
232C2×C3×D4—31no—
233C2×C3×D4—61no—
234C2×C3×D4C22×D312yes—
235C2×C3×D4C23×C312yes—
236C22×C3×C4—22no—
237C22×C3×C4—24no—
238C22×C3×C4—24no—
239C22×C3×C4—21no—
240C22×C3×C4—21no—
241C22×C3×C4—22no—
242C22×C3×C4—22no—
243C22×C3×C4—22no—
244C22×C3×C4—22no—
245C22×C3×C4—21no—
246C22×C3×C4—21no—
247C22×C3×C4—21no—
248C22×C3×C4—48no—
249C22×C3×C4—44no—
250C22×C3×C4—44no—
251C22×C3×C4—61no—
252C22×C3×C4#6711yescharacteristic
253C22×C3×C4#6711yescharacteristic
254C22×C3×C4C3×D411yescharacteristic
255C22×C3×C4C3×D411yescharacteristic
256C22×C3×C4C22×D311yescharacteristic
257C22×C3×C4C23×C311yescharacteristic
258C2×#67—21no—
259C2×D12C23×C311yescharacteristic
260C2×C4×D3—21no—
261C2×Dic6C23×C311yescharacteristic
262C3×SD16—64no—
263C3×D8—64no—
264C2×C3×C8—32no—
265C2×C3×C8—32no—
266C3×C4⋊C4—22no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—22no—
270C3×C4⋊C4—31no—
271C3×C4⋊C4—31no—
272C3×C4⋊C4—61no—
273C3×C4⋊C4—61no—
274C3×C4⋊C4—61no—
275C3×C4⋊C4—61no—
276C3×C4⋊C4C22×D312yes—
277C3×C4⋊C4C23×C312yes—
278C3×C22⋊C4—24no—
279C3×C22⋊C4—24no—
280C3×C22⋊C4—22no—
281C3×C22⋊C4—22no—
282C3×C22⋊C4—22no—
283C3×C22⋊C4—22no—
284C3×C22⋊C4—61no—
285C3×C22⋊C4—61no—
286C3×C22⋊C4—61no—
287C3×C22⋊C4—61no—
288C3×C22⋊C4—61no—
289C3×C42—21no—
290C3×C42—21no—
291C3×C42—21no—
292C3×C42—21no—
293C3×C42—61no—
294C3×C42#6711yescharacteristic
295C3×C42#6711yescharacteristic
296C3×C42C3×D411yescharacteristic
297C3×C42C3×D411yescharacteristic
298C3×C42C22×D311yescharacteristic
299C3×C42C22×D311yescharacteristic
300C3×C42C23×C311yescharacteristic
301C3×C42C23×C311yescharacteristic
302#217—21no—
303#214—24no—
304#213—24no—
305(C2×D3)⋊C4—21no—
306(C2×D3)⋊C4—21no—
307(C2×D3)⋊C4—21no—
308(C2×D3)⋊C4—21no—
309C4⋊Dic3C23×C311yescharacteristic
310C4⋊Dic3C23×C311yescharacteristic
311Dic3⋊C4—21no—
312Dic3⋊C4—21no—
313Dic3⋊C4—21no—
314Dic3⋊C4—21no—
315C4×Dic3—21no—
316C2×C3⋊C8C23×C312yes—
317C2×C3⋊C8C23×C312yes—
318C22×C32—21no—
319C22×C32—21no—
320C22×C32—24no—
321C22×C32—48no—
322C22×C32—42no—
323C22×C32—42no—
324C22×C32#13512yes—
325C22×C32C22×D411yescharacteristic
326C2×C3×D3—41no—
327C2×C3×D3—41no—
328C2×C3×D3—41no—
329C32×C4—21no—
330C32×C4—21no—
331C32×C4—21no—
332C32×C4—21no—
333C32×C4—42no—
334C32×C4AGL(1,ℤ/8)12yes—
335C32×C4C2×#4112yes—
336C3×Dic3—41no—
337C3×Dic3—41no—
338C3×Dic3—41no—
339C22×D4C2×C3×D311yescharacteristic
340C23×C4—21no—
341C2×SD16—32no—
342C2×D8—32no—
343#126—61no—
344#125—31no—
345#124—31no—
346#123—61no—
347C22⋊Q8—31no—
348#121—31no—
349C4×Q8—31no—
350C4×D4—21no—
351C4×D4—21no—
352C4×D4—31no—
353C4×D4—61no—
354C4×D4C2×C3×D312yes—
355C4×D4C2×C3×D312yes—
356#117—61no—
357C2×C4⋊C4C2×C3×D311yescharacteristic
358C2×C22⋊C4—21no—
359C2×C42C2×C3×D311yescharacteristic
360#107—32no—
361#106—32no—
362C4⋊C8—32no—
363#103—32no—
364#102—32no—
365#102—32no—
366#102—32no—
367C22⋊C8—31no—
368C22⋊C8—31no—
369C4×C8—32no—
370C23×C3—24no—
371C23×C3—28no—
372C23×C3—24no—
373C23×C3—24no—
374C23×C3—22no—
375C23×C3—22no—
376C23×C3—21no—
377C23×C3—44no—
378C23×C3—42no—
379C23×C3—42no—
380C23×C3—44no—
381C23×C3—42no—
382C23×C3—42no—
383C23×C3—61no—
384C23×C3C2×#6711yescharacteristic
385C23×C3C2×C3×D411yescharacteristic
386C22×D3—21no—
387C3×Q8—62no—
388C3×D4—28no—
389C3×D4—24no—
390C3×D4—24no—
391C3×D4—24no—
392C3×D4—22no—
393C3×D4—22no—
394C3×D4—24no—
395C3×D4—62no—
396C3×D4—122no—
397C3×D4#23514yes—
398C3×D4C3×#4114yes—
399C2×C3×C4—24no—
400C2×C3×C4—24no—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—24no—
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—42no—
417C2×C3×C4—48no—
418C2×C3×C4—44no—
419C2×C3×C4—44no—
420C2×C3×C4—48no—
421C2×C3×C4—44no—
422C2×C3×C4—42no—
423C2×C3×C4—42no—
424C2×C3×C4—44no—
425C2×C3×C4—44no—
426C2×C3×C4—61no—
427C2×C3×C4—61no—
428C2×C3×C4—61no—
429C2×C3×C4—122no—
430C2×C3×C4C2×#6711yescharacteristic
431C2×C3×C4C2×#6711yescharacteristic
432C2×C3×C4C2×#6711yescharacteristic
433C2×C3×C4C2×#6711yescharacteristic
434C2×C3×C4C2×#6711yescharacteristic
435C2×C3×C4C2×C3×D411yescharacteristic
436C2×C3×C4C2×C3×D411yescharacteristic
437C2×C3×C4C2×C3×D411yescharacteristic
438C2×C3×C4C2×C3×D411yescharacteristic
439C2×C3×C4C2×C3×D411yescharacteristic
440C2×C3×C4C23×D311yescharacteristic
441C2×C3×C4C24×C311yescharacteristic
442#67—42no—
443C2×Dic3—21no—
444C2×Dic3—21no—
445C2×Dic3—21no—
446D12—22no—
447C4×D3—42no—
448Dic6—22no—
449C3×C8—62no—
450C3×C8—62no—
451C3⋊C8—22no—
452C3⋊C8—22no—
453C2×C32—22no—
454C2×C32—44no—
455C2×C32#52511yescharacteristic
456C2×C32C2×#13511yescharacteristic
457C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
458C3×D3—81no—
459C24—21no—
460C2×Q8—31no—
461C2×D4—24no—
462C2×D4—21no—
463C2×D4—31no—
464C2×D4—61no—
465C2×D4C22×C3×D312yes—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—44no—
470C22×C4—61no—
471C22×C4C3×#6711yescharacteristic
472C22×C4C3×#6711yescharacteristic
473C22×C4C22×C3×D311yescharacteristic
474SD16—64no—
475D8—64no—
476C2×C8—32no—
477C2×C8—32no—
478C4⋊C4—21no—
479C4⋊C4—31no—
480C4⋊C4—31no—
481C4⋊C4—61no—
482C4⋊C4—61no—
483C4⋊C4—61no—
484C4⋊C4—61no—
485C4⋊C4C22×C3×D312yes—
486C22⋊C4—22no—
487C22⋊C4—22no—
488C22⋊C4—61no—
489C22⋊C4—61no—
490C22⋊C4—61no—
491C22⋊C4—61no—
492C22⋊C4—61no—
493C42—61no—
494C42C3×#6711yescharacteristic
495C42C3×#6711yescharacteristic
496C42C22×C3×D311yescharacteristic
497C42C22×C3×D311yescharacteristic
498C22×C3—22no—
499C22×C3—22no—
500C22×C3—21no—
501C22×C3—21no—
502C22×C3—21no—
503C22×C3—21no—
504C22×C3—28no—
505C22×C3—24no—
506C22×C3—24no—
507C22×C3—22no—
508C22×C3—21no—
509C22×C3—44no—
510C22×C3—416no—
511C22×C3—48no—
512C22×C3—48no—
513C22×C3—44no—
514C22×C3—42no—
515C22×C3—42no—
516C22×C3—42no—
517C22×C3—42no—
518C22×C3—121no—
519C22×C3—121no—
520C22×C3—121no—
521C22×C3#95012yes—
522C22×C3C3×#13512yes—
523C22×C3C22×#6711yescharacteristic
524C22×C3C22×C3×D411yescharacteristic
525C2×D3—41no—
526C2×D3—41no—
527C2×D3—41no—
528C3×C4—22no—
529C3×C4—22no—
530C3×C4—21no—
531C3×C4—21no—
532C3×C4—21no—
533C3×C4—21no—
534C3×C4—21no—
535C3×C4—21no—
536C3×C4—21no—
537C3×C4—21no—
538C3×C4—22no—
539C3×C4—22no—
540C3×C4—41no—
541C3×C4—41no—
542C3×C4—44no—
543C3×C4—42no—
544C3×C4—42no—
545C3×C4—121no—
546C3×C4—121no—
547C3×C4—121no—
548C3×C4#93212yes—
549C3×C4C3×AGL(1,ℤ/8)12yes—
550C3×C4C2×#23512yes—
551C3×C4C2×C3×#4112yes—
552Dic3—41no—
553Dic3—41no—
554Dic3—41no—
555C32#310511yescharacteristic, complemented, Sylow
556C23—24no—
557C23—22no—
558C23—42no—
559C23—42no—
560C23—61no—
561C23C2×C3×#6711yescharacteristic
562Q8—62no—
563D4—24no—
564D4—22no—
565D4—62no—
566D4—122no—
567D4C3×#23514yes—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—44no—
573C2×C4—42no—
574C2×C4—44no—
575C2×C4—61no—
576C2×C4—61no—
577C2×C4—61no—
578C2×C4—122no—
579C2×C4C2×C3×#6711yescharacteristic
580C2×C4C2×C3×#6711yescharacteristic
581C2×C4C2×C3×#6711yescharacteristic
582C2×C4C2×C3×#6711yescharacteristic
583C2×C4C2×C3×#6711yescharacteristic
584C2×C4C23×C3×D311yescharacteristic
585C8—62no—
586C8—62no—
587C2×C3—24no—
588C2×C3—22no—
589C2×C3—22no—
590C2×C3—21no—
591C2×C3—21no—
592C2×C3—21no—
593C2×C3—48no—
594C2×C3—44no—
595C2×C3—44no—
596C2×C3—241no—
597C2×C3#579111yescharacteristic
598C2×C3C2×#93211yescharacteristic
599C2×C3C2×#95011yescharacteristic
600C2×C3C3×#52511yescharacteristic
601C2×C3C2×C3×#13511yescharacteristic
602C2×C3C2×C3×AGL(1,ℤ/8)11yescharacteristic
603D3—81no—
604C22—21no—
605C22—21no—
606C22—24no—
607C22—48no—
608C22—42no—
609C22—42no—
610C22—121no—
611C22—121no—
612C22—121no—
613C22C3×#95012yes—
614C22C22×C3×#6711yescharacteristic
615C4—21no—
616C4—21no—
617C4—21no—
618C4—21no—
619C4—42no—
620C4—121no—
621C4—121no—
622C4—121no—
623C4C3×#93212yes—
624C4C2×C3×#23512yes—
625C3—21no—
626C3#8230911yescharacteristic, direct product factor
627C3C3×#310511yescharacteristic, complemented
628C2—22no—
629C2—44no—
630C2—241no—
631C2C3×#579111yescharacteristic
632C2C2×C3×#93211yescharacteristic
633C2C2×C3×#95011yescharacteristic
subgroupG/H
centerC2×C3×C4C2×#67
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC2×C32×C4×D4C2
socleC22×C32C22×D4
prime radicalC3×#5217C2
hypercenterC2×C3×C4×D4D3
hypocenterC3C3×#3105
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C3×C4 ◁ C2×C3×C42 ◁ C2×C3×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×C32×C4×D4C2semidirect
2. C3×#5479C2semidirect
3. C3×#5218C2semidirect
5. C3×C4×#214C2semidirect
6. C3×#5016C2semidirect
7. C3×C4×#213C2semidirect
8. C3×#5009C2semidirect
9. C3×#4970C2semidirect
10. C3×#4968C2semidirect
11. C3×#4925C2semidirect
13. #82309C3direct (N × H)
30. C3×#875C22semidirect
31. C3×C4×D12C22semidirect
33. C3×#870C22semidirect
34. C3×C4×Dic6C22semidirect
39. C3×#810C22semidirect
40. C3×#809C22semidirect
41. C3×#808C22semidirect
42. C3×#807C22semidirect
43. C3×C4⋊(C3⋊C8)C22semidirect
44. C3×C4×C3⋊C8C22semidirect
47. C2×C3×C4×D4D3semidirect
48. C2×C3×C4×D4C2×C3semidirect
49. #5479C2×C3semidirect
59. #5218C2×C3semidirect
61. C4×#214C2×C3semidirect
62. #5016C2×C3semidirect
63. C4×#213C2×C3semidirect
64. #5009C2×C3semidirect
65. #4970C2×C3semidirect
66. #4968C2×C3semidirect
67. #4925C2×C3semidirect
154. #875C22×C3semidirect
155. C4×D12C22×C3semidirect
157. #870C22×C3semidirect
158. C4×Dic6C22×C3semidirect
173. #810C22×C3semidirect
174. #809C22×C3semidirect
175. #808C22×C3semidirect
176. #807C22×C3semidirect
177. C4⋊(C3⋊C8)C22×C3semidirect
178. C4×C3⋊C8C22×C3semidirect
211. C2×C4×D4C3×D3semidirect
555. C32#3105semidirect
626. C3#82309direct (N × H)
627. C3C3×#3105semidirect

Maximal subgroups

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

subgroupindex
C2×C32×C4×D42
C3×#54792
C3×#52182
C3×#52172
C3×C4×#2142
C3×#50162
C3×C4×#2132
C3×#50092
C3×#49702
C3×#49682
C3×#49252
C3×#31053
#823093