Finite Group Databasebeta

← C3×#80428 #11865848

Subgroups — C3×#80428 #11865848

Order 1152.

1156 conjugacy classes of subgroups.

The subgroup lattice has 687 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#914C212yesmaximal, complemented
2C3×#5725C211yesmaximal, characteristic, complemented
3C3×C4×D3×D4C211yesmaximal, characteristic, complemented
4C32×#461C211yesmaximal, characteristic, complemented
5C3×#5165C212yesmaximal, complemented
6C3×#5083C211yesmaximal, characteristic, complemented
7C3×#5015C211yesmaximal, characteristic, complemented
8C3×#4843C211yesmaximal, characteristic, complemented
9C3×#4837C211yesmaximal, characteristic, complemented
10C3×#4819C212yesmaximal, complemented
11C3×#4803C212yesmaximal, complemented
12C3×#3036—31nomaximal
13#80428C311yesmaximal, characteristic, direct product factor
14C2×C3×#239C2212yes—
15C2×C3×D3×D4C2211yescharacteristic
16C22×C3×C4×D3—21no—
17C2×C32×SD16C2212yes—
18C32×C4⋊Q8C2211yescharacteristic, complemented
19C32×C4×D4C2211yescharacteristic
20C3×#947C2212yescomplemented
21C2×C3×#215C2212yes—
22C3×D4×Dic3C2211yescharacteristic
23C2×C3×#213C2212yes—
24C3×C4×#67—21no—
25C3×#914—28no—
26C2×C3×D24C2212yes—
27C2×C3×ΓL(1,𝔽25)C2212yes—
28C3×#895—21no—
29C3×#895—21no—
30C3×#893—21no—
31C3×#893—21no—
32C3×#893C2211yescharacteristic
33C3×D3×C4⋊C4C2211yescharacteristic
34C3×#67⋊C4—21no—
35C3×D3×C22⋊C4—21no—
36C3×#874C2211yescharacteristic, complemented
37C3×C4×D12C2211yescharacteristic
38C3×C42×D3C2211yescharacteristic
39C32×C4⋊C8C2211yescharacteristic, complemented
40C32×#103C2212yescomplemented
41C3×#835C2212yescomplemented
42C3×#821C2212yescomplemented
43C3×Dic3⋊C8C2212yescomplemented
44C3×#809C2212yescomplemented
45C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
46C2×C3×AGL(1,ℤ/8)—32no—
47C3×#532—31no—
48C2×C3×C4×D4—31no—
49C2×#914C2×C312yescomplemented
50#5725C2×C311yescharacteristic, complemented
51C4×D3×D4C2×C311yescharacteristic, complemented
52C3×#463—32no—
53C3×#463—32no—
54C3×#461—21no—
55C3×#461—31no—
56C3×#461D311yescharacteristic, complemented
57C3×#461C2×C311yescharacteristic, complemented
58C3×#459—31no—
59C3×#459—31no—
60C3×#423—31no—
61C3×#417—32no—
62#5165C2×C312yescomplemented
63#5083C2×C311yescharacteristic, complemented
64#5015C2×C311yescharacteristic, complemented
65#4843C2×C311yescharacteristic, complemented
66#4837C2×C311yescharacteristic, complemented
67#4819C2×C312yescomplemented
68#4803C2×C312yescomplemented
69C23×C3×D3—21no—
70C2×C32×Q8C2312yes—
71C2×C32×D4C2311yescharacteristic
72C22×C32×C4—21no—
73C2×C3×#67—21no—
74C22×C3×Dic3—21no—
75C3×#239—24no—
76C3×#239—24no—
77C3×D3×D4—22no—
78C3×D3×D4D414yescomplemented
79C2×C3×D12—22no—
80C2×C3×D12—21no—
81C2×C3×D12—21no—
82C2×C3×D12C2312yes—
83C2×C3×D12C2311yescharacteristic
84C2×C3×C4×D3—21no—
85C2×C3×C4×D3—21no—
86C2×C3×C4×D3—21no—
87C2×C3×C4×D3—22no—
88C2×C3×C4×D3—44no—
89C2×C3×C4×D3D411yescharacteristic
90C2×C3×C4×D3D411yescharacteristic
91C2×C3×C4×D3C2311yescharacteristic
92C32×SD16—24no—
93C2×C32×C8C2312yes—
94C32×C4⋊C4—21no—
95C32×C4⋊C4—21no—
96C32×C4⋊C4C2311yescharacteristic
97C32×C22⋊C4—21no—
98C32×C42C2311yescharacteristic
99C3×#217—21no—
100C3×#215—24no—
101C3×#213—24no—
102C3×(C2×D3)⋊C4—21no—
103C3×(C2×D3)⋊C4—21no—
104C3×(C2×D3)⋊C4—22no—
105C3×(C2×D3)⋊C4—22no—
106C3×C4⋊Dic3C2311yescharacteristic
107C3×Dic3⋊C4—21no—
108C3×C4×Dic3D411yescharacteristic
109C3×C4×Dic3D411yescharacteristic
110C3×C4×Dic3C2311yescharacteristic
111C2×C3×C3⋊C8C2312yes—
112C3×D24—24no—
113C3×ΓL(1,𝔽25)—24no—
114#3036—31noSylow
115C2×C3×#41—32no—
116C22×C3×D4—31no—
117C23×C3×C4—61no—
118C2×#239C22×C312yes—
119C2×D3×D4C22×C311yescharacteristic
120C22×C4×D3—21no—
121C3×AGL(1,ℤ/8)—68no—
122C2×C3×SD16—22no—
123C2×C3×SD16—32no—
124C2×C3×SD16C2×D312yes—
125C2×C3×SD16C22×C312yes—
126C2×C3×D8—32no—
127C2×C3×D8—32no—
128C2×C3×M16—32no—
129C3×C4⋊Q8—21no—
130C3×C4⋊Q8C2×D311yescharacteristic, complemented
131C3×C4⋊Q8C22×C311yescharacteristic, complemented
132C3×#127—31no—
133C3×#124—32no—
134C3×#121—61no—
135C3×#121—61no—
136C3×C4×D4—21no—
137C3×C4×D4—31no—
138C3×C4×D4—31no—
139C3×C4×D4—31no—
140C3×C4×D4—61no—
141C3×C4×D4—61no—
142C3×C4×D4—61no—
143C3×C4×D4—61no—
144C3×C4×D4C2×D311yescharacteristic
145C3×C4×D4C22×C311yescharacteristic
146C2×C3×C4⋊C4—31no—
147C2×C3×C22⋊C4—61no—
148C2×C3×C42—31no—
149#947C22×C312yescomplemented
150C2×#215C22×C312yes—
151D4×Dic3C22×C311yescharacteristic
152C2×#213C22×C312yes—
153C4×#67—21no—
154#914—28no—
155C2×D24C22×C312yes—
156C2×ΓL(1,𝔽25)C22×C312yes—
157#895—21no—
158#895—21no—
159#893—21no—
160#893—21no—
161#893C22×C311yescharacteristic
162D3×C4⋊C4C22×C311yescharacteristic
163#67⋊C4—21no—
164D3×C22⋊C4—21no—
165#874C22×C311yescharacteristic, complemented
166C4×D12C22×C311yescharacteristic
167C42×D3C22×C311yescharacteristic
168C3×C4⋊C8—21no—
169C3×C4⋊C8—32no—
170C3×C4⋊C8—31no—
171C3×C4⋊C8C2×D311yescharacteristic, complemented
172C3×C4⋊C8C22×C311yescharacteristic, complemented
173C3×#103—22no—
174C3×#103—32no—
175C3×#103C2×D312yescomplemented
176C3×#103C22×C312yescomplemented
177C3×#102—32no—
178C3×#102—32no—
179#835C22×C312yescomplemented
180#821C22×C312yescomplemented
181Dic3⋊C8C22×C312yescomplemented
182#809C22×C312yescomplemented
183C4⋊(C3⋊C8)C22×C311yescharacteristic, complemented
184C23×C32—21no—
185C22×C3×D3—21no—
186C22×C3×D3—24no—
187C22×C3×D3—22no—
188C22×C3×D3—42no—
189C22×C3×D3—42no—
190C22×C3×D3C2×D411yescharacteristic
191C32×Q8—22no—
192C32×Q8—22no—
193C32×D4—21no—
194C32×D4C2×D412yes—
195C2×C32×C4—21no—
196C2×C32×C4—22no—
197C2×C32×C4—42no—
198C2×C32×C4C2×D411yescharacteristic
199C2×C32×C4C2×D411yescharacteristic
200C2×C32×C4C2411yescharacteristic
201C3×#67—24no—
202C2×C3×Dic3—21no—
203C2×C3×Dic3—42no—
204C2×C3×Dic3C2×D411yescharacteristic
205C2×C3×Dic3C2×D411yescharacteristic
206C2×C3×Dic3C2×D411yescharacteristic
207C3×D12—22no—
208C3×D12—21no—
209C3×D12—22no—
210C3×D12—42no—
211C3×D12—44no—
212C3×D12—42no—
213C3×D12C2×D412yes—
214C3×C4×D3—22no—
215C3×C4×D3—41no—
216C3×C4×D3—42no—
217C3×C4×D3—42no—
218C3×C4×D3—42no—
219C3×C4×D3—44no—
220C3×C4×D3C2×D412yes—
221C3×C4×D3#4112yes—
222C32×C8—22no—
223C3×C3⋊C8—22no—
224C2×AGL(1,ℤ/8)—32no—
225#532—31no—
226C2×C4×D4—31no—
227#463—32no—
228#463—32no—
229#461—31no—
230#461C3×D311yescharacteristic, complemented
231#459—31no—
232#459—31no—
233#423—31no—
234#417—32no—
235C24×C3—61no—
236C23×D3—21no—
237C3×#41—64no—
238C3×#41—64no—
239C2×C3×Q8—22no—
240C2×C3×Q8C22×D312yes—
241C2×C3×Q8C23×C312yes—
242C2×C3×D4—21no—
243C2×C3×D4—34no—
244C2×C3×D4—31no—
245C2×C3×D4—32no—
246C2×C3×D4—62no—
247C2×C3×D4—62no—
248C2×C3×D4—61no—
249C2×C3×D4—61no—
250C2×C3×D4—61no—
251C2×C3×D4C22×D311yescharacteristic
252C2×C3×D4C23×C311yescharacteristic
253C22×C3×C4—21no—
254C22×C3×C4—21no—
255C22×C3×C4—31no—
256C22×C3×C4—31no—
257C22×C3×C4—31no—
258C22×C3×C4—41no—
259C22×C3×C4—61no—
260C22×C3×C4—62no—
261C22×C3×C4—61no—
262C22×C3×C4—61no—
263C22×C3×C4—61no—
264C22×C3×C4—124no—
265C2×#67—21no—
266C22×Dic3—21no—
267#239—24no—
268#239—24no—
269D3×D4—22no—
270D3×D4C3×D414yescomplemented
271C2×D12—22no—
272C2×D12—21no—
273C2×D12—21no—
274C2×D12C23×C312yes—
275C2×D12C23×C311yescharacteristic
276C2×C4×D3—21no—
277C2×C4×D3—21no—
278C2×C4×D3—21no—
279C2×C4×D3—22no—
280C2×C4×D3—44no—
281C2×C4×D3C3×D411yescharacteristic
282C2×C4×D3C3×D411yescharacteristic
283C2×C4×D3C23×C311yescharacteristic
284C3×SD16—24no—
285C3×SD16—24no—
286C3×SD16—44no—
287C3×SD16—64no—
288C3×D8—64no—
289C3×D8—64no—
290C3×M16—64no—
291C2×C3×C8—22no—
292C2×C3×C8—32no—
293C2×C3×C8C22×D312yes—
294C2×C3×C8C23×C312yes—
295C3×C4⋊C4—21no—
296C3×C4⋊C4—21no—
297C3×C4⋊C4—21no—
298C3×C4⋊C4—21no—
299C3×C4⋊C4—21no—
300C3×C4⋊C4—31no—
301C3×C4⋊C4—41no—
302C3×C4⋊C4—41no—
303C3×C4⋊C4—61no—
304C3×C4⋊C4C22×D311yescharacteristic
305C3×C4⋊C4C23×C311yescharacteristic
306C3×C22⋊C4—21no—
307C3×C22⋊C4—21no—
308C3×C22⋊C4—41no—
309C3×C22⋊C4—61no—
310C3×C22⋊C4—62no—
311C3×C22⋊C4—62no—
312C3×C22⋊C4—61no—
313C3×C22⋊C4—61no—
314C3×C42—21no—
315C3×C42—31no—
316C3×C42—31no—
317C3×C42—31no—
318C3×C42C22×D311yescharacteristic
319C3×C42C23×C311yescharacteristic
320#217—21no—
321#215—24no—
322#213—24no—
323(C2×D3)⋊C4—21no—
324(C2×D3)⋊C4—21no—
325(C2×D3)⋊C4—22no—
326(C2×D3)⋊C4—22no—
327C4⋊Dic3C23×C311yescharacteristic
328Dic3⋊C4—21no—
329C4×Dic3C3×D411yescharacteristic
330C4×Dic3C3×D411yescharacteristic
331C4×Dic3C23×C311yescharacteristic
332C2×C3⋊C8C23×C312yes—
333D24—24no—
334ΓL(1,𝔽25)—24no—
335C22×C32—22no—
336C22×C32—41no—
337C22×C32—41no—
338C22×C32C22×D411yescharacteristic
339C2×C3×D3—21no—
340C2×C3×D3—21no—
341C2×C3×D3—22no—
342C2×C3×D3—48no—
343C2×C3×D3—41no—
344C2×C3×D3—41no—
345C2×C3×D3—42no—
346C2×C3×D3—42no—
347C2×C3×D3—42no—
348C2×C3×D3#12112yes—
349C32×C4—21no—
350C32×C4—42no—
351C32×C4—41no—
352C32×C4AGL(1,ℤ/8)12yescomplemented
353C32×C4C22×D411yescharacteristic
354C32×C4C2×#4111yescharacteristic
355C3×Dic3—21no—
356C3×Dic3—21no—
357C3×Dic3—41no—
358C3×Dic3#12112yes—
359C2×#41—32no—
360C22×D4—31no—
361C23×C4—61no—
362AGL(1,ℤ/8)—68no—
363C2×SD16—32no—
364C2×SD16C2×C3×D312yes—
365C2×D8—32no—
366C2×D8—32no—
367C2×M16—32no—
368C4⋊Q8C2×C3×D311yescharacteristic, complemented
369#127—31no—
370#124—32no—
371#121—61no—
372#121—61no—
373C4×D4—31no—
374C4×D4—31no—
375C4×D4—31no—
376C4×D4—61no—
377C4×D4—61no—
378C4×D4—61no—
379C4×D4—61no—
380C4×D4C2×C3×D311yescharacteristic
381C2×C4⋊C4—31no—
382C2×C22⋊C4—61no—
383C2×C42—31no—
384C4⋊C8—32no—
385C4⋊C8—31no—
386C4⋊C8C2×C3×D311yescharacteristic, complemented
387#103—32no—
388#103C2×C3×D312yescomplemented
389#102—32no—
390#102—32no—
391C23×C3—21no—
392C23×C3—21no—
393C23×C3—31no—
394C23×C3—41no—
395C23×C3—64no—
396C23×C3—61no—
397C23×C3—62no—
398C23×C3—122no—
399C23×C3—122no—
400C22×D3—21no—
401C22×D3—24no—
402C22×D3—22no—
403C22×D3—42no—
404C22×D3—42no—
405C22×D3C2×C3×D411yescharacteristic
406C3×Q8—22no—
407C3×Q8—22no—
408C3×Q8—22no—
409C3×Q8—22no—
410C3×Q8—42no—
411C3×Q8—42no—
412C3×D4—21no—
413C3×D4—21no—
414C3×D4—22no—
415C3×D4—32no—
416C3×D4—41no—
417C3×D4—64no—
418C3×D4—62no—
419C3×D4—61no—
420C3×D4—62no—
421C3×D4—122no—
422C3×D4—124no—
423C3×D4—122no—
424C3×D4D3×D412yes—
425C3×D4C2×C3×D412yes—
426C2×C3×C4—21no—
427C2×C3×C4—22no—
428C2×C3×C4—21no—
429C2×C3×C4—22no—
430C2×C3×C4—21no—
431C2×C3×C4—21no—
432C2×C3×C4—21no—
433C2×C3×C4—31no—
434C2×C3×C4—32no—
435C2×C3×C4—32no—
436C2×C3×C4—31no—
437C2×C3×C4—31no—
438C2×C3×C4—41no—
439C2×C3×C4—42no—
440C2×C3×C4—42no—
441C2×C3×C4—42no—
442C2×C3×C4—62no—
443C2×C3×C4—61no—
444C2×C3×C4—82no—
445C2×C3×C4—121no—
446C2×C3×C4—124no—
447C2×C3×C4—122no—
448C2×C3×C4—122no—
449C2×C3×C4—122no—
450C2×C3×C4—122no—
451C2×C3×C4D3×D411yescharacteristic
452C2×C3×C4D3×D411yescharacteristic
453C2×C3×C4C2×C3×D411yescharacteristic
454C2×C3×C4C2×C3×D411yescharacteristic
455C2×C3×C4C23×D311yescharacteristic
456C2×C3×C4C24×C311yescharacteristic
457#67—24no—
458C2×Dic3—21no—
459C2×Dic3—42no—
460C2×Dic3C2×C3×D411yescharacteristic
461C2×Dic3C2×C3×D411yescharacteristic
462C2×Dic3C2×C3×D411yescharacteristic
463D12—22no—
464D12—21no—
465D12—22no—
466D12—42no—
467D12—44no—
468D12—42no—
469D12C2×C3×D412yes—
470C4×D3—22no—
471C4×D3—41no—
472C4×D3—42no—
473C4×D3—42no—
474C4×D3—42no—
475C4×D3—44no—
476C4×D3C2×C3×D412yes—
477C4×D3C3×#4112yes—
478C3×C8—22no—
479C3×C8—22no—
480C3×C8—42no—
481C3×C8—62no—
482C3⋊C8—22no—
483C2×C32—42no—
484C2×C32C2×#12111yescharacteristic
485C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
486C2×C32#57511yescharacteristic
487C3×D3—22no—
488C3×D3—42no—
489C3×D3—82no—
490C24—61no—
491#41—64no—
492#41—64no—
493C2×Q8C22×C3×D312yes—
494C2×D4—34no—
495C2×D4—31no—
496C2×D4—32no—
497C2×D4—62no—
498C2×D4—62no—
499C2×D4—61no—
500C2×D4—61no—
501C2×D4—61no—
502C2×D4C22×C3×D311yescharacteristic
503C22×C4—21no—
504C22×C4—31no—
505C22×C4—31no—
506C22×C4—31no—
507C22×C4—61no—
508C22×C4—62no—
509C22×C4—61no—
510C22×C4—61no—
511C22×C4—61no—
512C22×C4—124no—
513SD16—24no—
514SD16—64no—
515D8—64no—
516D8—64no—
517M16—64no—
518C2×C8—32no—
519C2×C8C22×C3×D312yes—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—31no—
523C4⋊C4—61no—
524C4⋊C4C22×C3×D311yescharacteristic
525C22⋊C4—21no—
526C22⋊C4—61no—
527C22⋊C4—62no—
528C22⋊C4—62no—
529C22⋊C4—61no—
530C22⋊C4—61no—
531C42—31no—
532C42—31no—
533C42—31no—
534C42C22×C3×D311yescharacteristic
535C22×C3—22no—
536C22×C3—22no—
537C22×C3—21no—
538C22×C3—32no—
539C22×C3—42no—
540C22×C3—41no—
541C22×C3—41no—
542C22×C3—41no—
543C22×C3—41no—
544C22×C3—61no—
545C22×C3—61no—
546C22×C3—62no—
547C22×C3—81no—
548C22×C3—81no—
549C22×C3—128no—
550C22×C3—121no—
551C22×C3—121no—
552C22×C3—122no—
553C22×C3—122no—
554C22×C3—122no—
555C22×C3C2×D3×D411yescharacteristic
556C22×C3C22×C3×D411yescharacteristic
557C2×D3—21no—
558C2×D3—21no—
559C2×D3—22no—
560C2×D3—48no—
561C2×D3—41no—
562C2×D3—41no—
563C2×D3—42no—
564C2×D3—42no—
565C2×D3—42no—
566C2×D3C3×#12112yes—
567C3×C4—21no—
568C3×C4—21no—
569C3×C4—22no—
570C3×C4—21no—
571C3×C4—21no—
572C3×C4—32no—
573C3×C4—41no—
574C3×C4—41no—
575C3×C4—41no—
576C3×C4—42no—
577C3×C4—42no—
578C3×C4—61no—
579C3×C4—61no—
580C3×C4—81no—
581C3×C4—82no—
582C3×C4—121no—
583C3×C4#91412yescomplemented
584C3×C4C3×AGL(1,ℤ/8)12yescomplemented
585C3×C4C2×D3×D411yescharacteristic
586C3×C4D3×#4111yescharacteristic
587C3×C4C22×C3×D411yescharacteristic
588C3×C4C2×C3×#4111yescharacteristic
589Dic3—21no—
590Dic3—21no—
591Dic3—41no—
592Dic3C3×#12112yes—
593C32#303611yescharacteristic, complemented, Sylow
594C23—21no—
595C23—31no—
596C23—64no—
597C23—61no—
598C23—62no—
599C23—122no—
600C23—122no—
601Q8—22no—
602Q8—22no—
603D4—21no—
604D4—32no—
605D4—64no—
606D4—62no—
607D4—61no—
608D4—62no—
609D4—122no—
610D4—124no—
611D4—122no—
612D4C3×D3×D412yes—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—31no—
616C2×C4—32no—
617C2×C4—32no—
618C2×C4—31no—
619C2×C4—31no—
620C2×C4—42no—
621C2×C4—62no—
622C2×C4—61no—
623C2×C4—121no—
624C2×C4—124no—
625C2×C4—122no—
626C2×C4—122no—
627C2×C4—122no—
628C2×C4—122no—
629C2×C4C3×D3×D411yescharacteristic
630C2×C4C3×D3×D411yescharacteristic
631C2×C4C23×C3×D311yescharacteristic
632C8—22no—
633C8—62no—
634C2×C3—21no—
635C2×C3—21no—
636C2×C3—21no—
637C2×C3—42no—
638C2×C3—42no—
639C2×C3—62no—
640C2×C3—82no—
641C2×C3—122no—
642C2×C3—242no—
643C2×C3D3×#12111yescharacteristic
644C2×C3C2×#91411yescharacteristic
645C2×C3#577711yescharacteristic
646C2×C3C2×C3×#12111yescharacteristic
647C2×C3C2×C3×AGL(1,ℤ/8)11yescharacteristic
648C2×C3C3×#57511yescharacteristic
649D3—22no—
650D3—42no—
651D3—82no—
652C22—22no—
653C22—32no—
654C22—41no—
655C22—41no—
656C22—61no—
657C22—61no—
658C22—62no—
659C22—128no—
660C22—121no—
661C22—121no—
662C22—122no—
663C22—122no—
664C22—122no—
665C22C2×C3×D3×D411yescharacteristic
666C4—21no—
667C4—32no—
668C4—41no—
669C4—42no—
670C4—61no—
671C4—61no—
672C4—121no—
673C4C3×#91412yescomplemented
674C4C2×C3×D3×D411yescharacteristic
675C4C3×D3×#4111yescharacteristic
676C3—21no—
677C3#8042811yescharacteristic, direct product factor
678C3C3×#303611yescharacteristic, complemented
679C2—42no—
680C2—62no—
681C2—122no—
682C2—242no—
683C2C3×D3×#12111yescharacteristic
684C2C2×C3×#91411yescharacteristic
685C2C3×#577711yescharacteristic
subgroupG/H
centerC22×C3C2×D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#461C2
socleC22×C32C22×D4
hypercenterC3×#461D3
hypocenterC3C3×#3036
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×C42 ◁ C3×#461

Complements

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

NH ≅ G/Ntype
1. C2×C3×#914C2semidirect
2. C3×#5725C2semidirect
3. C3×C4×D3×D4C2semidirect
4. C32×#461C2semidirect
5. C3×#5165C2semidirect
6. C3×#5083C2semidirect
7. C3×#5015C2semidirect
8. C3×#4843C2semidirect
9. C3×#4837C2semidirect
10. C3×#4819C2semidirect
11. C3×#4803C2semidirect
13. #80428C3direct (N × H)
18. C32×C4⋊Q8C22semidirect
20. C3×#947C22semidirect
36. C3×#874C22semidirect
39. C32×C4⋊C8C22semidirect
40. C32×#103C22semidirect
41. C3×#835C22semidirect
42. C3×#821C22semidirect
43. C3×Dic3⋊C8C22semidirect
44. C3×#809C22semidirect
45. C3×C4⋊(C3⋊C8)C22semidirect
49. C2×#914C2×C3semidirect
50. #5725C2×C3semidirect
51. C4×D3×D4C2×C3semidirect
56. C3×#461D3semidirect
57. C3×#461C2×C3semidirect
62. #5165C2×C3semidirect
63. #5083C2×C3semidirect
64. #5015C2×C3semidirect
65. #4843C2×C3semidirect
66. #4837C2×C3semidirect
67. #4819C2×C3semidirect
68. #4803C2×C3semidirect
78. C3×D3×D4D4semidirect
130. C3×C4⋊Q8C2×D3semidirect
131. C3×C4⋊Q8C22×C3semidirect
149. #947C22×C3semidirect
165. #874C22×C3semidirect
171. C3×C4⋊C8C2×D3semidirect
172. C3×C4⋊C8C22×C3semidirect
175. C3×#103C2×D3semidirect
176. C3×#103C22×C3semidirect
179. #835C22×C3semidirect
180. #821C22×C3semidirect
181. Dic3⋊C8C22×C3semidirect
182. #809C22×C3semidirect
183. C4⋊(C3⋊C8)C22×C3semidirect
230. #461C3×D3semidirect
270. D3×D4C3×D4semidirect
352. C32×C4AGL(1,ℤ/8)semidirect
368. C4⋊Q8C2×C3×D3semidirect
386. C4⋊C8C2×C3×D3semidirect
388. #103C2×C3×D3semidirect
583. C3×C4#914semidirect
584. C3×C4C3×AGL(1,ℤ/8)semidirect
593. C32#3036semidirect
673. C4C3×#914semidirect
677. C3#80428direct (N × H)
678. C3C3×#3036semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#9142
C3×#57252
C3×C4×D3×D42
C32×#4612
C3×#51652
C3×#50832
C3×#50152
C3×#48432
C3×#48372
C3×#48192
C3×#48032
C3×#30363
#804283