Finite Group Databasebeta

← C3×#82158 #11803349

Subgroups — C3×#82158 #11803349

Order 1152.

1473 conjugacy classes of subgroups.

The subgroup lattice has 641 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C32×C4⋊C4C211yesmaximal, characteristic, complemented
2C2×C3×#929C211yesmaximal, characteristic
3C2×C3×C4×#67C211yesmaximal, characteristic
4C3×#5213C211yesmaximal, characteristic
5C3×#5211C211yesmaximal, characteristic, complemented
6C3×#5210C211yesmaximal, characteristic, complemented
7C3×C4×#217C211yesmaximal, characteristic, complemented
8C3×#4990C212yesmaximal, complemented
9C3×#4989C212yesmaximal, complemented
10C3×#4978C212yesmaximal, complemented
11C3×#4976C212yesmaximal, complemented
12C3×#2322—31nomaximal
13#82158C311yesmaximal, characteristic, direct product factor
14C23×C32×C4C2211yescharacteristic
15C23×C32×C4C2211yescharacteristic
16C23×C32×C4C2211yescharacteristic
17C22×C3×#67C2211yescharacteristic
18C22×C3×C4×D3C2211yescharacteristic
19C2×C32×C4⋊C4—24no—
20C2×C32×C4⋊C4C2212yes—
21C2×C32×C4⋊C4C2212yes—
22C2×C3×#217C2211yescharacteristic
23C2×C3×#217C2211yescharacteristic
24C2×C3×#217C2211yescharacteristic
25C3×#929C418yescomplemented
26C3×C4×#67—24no—
27C2×C3×(C2×D3)⋊C4C2211yescharacteristic
28C2×C3×(C2×D3)⋊C4C2212yes—
29C2×C3×(C2×D3)⋊C4C2212yes—
30C2×C3×Dic3⋊C4C2211yescharacteristic
31C2×C3×Dic3⋊C4C2212yes—
32C2×C3×Dic3⋊C4C2212yes—
33C2×C3×C4×Dic3C2211yescharacteristic
34C2×C3×C4×Dic3C2212yes—
35C3×C3⋊#95C2212yes—
36C3×C3⋊#95C2212yes—
37C3×C3⋊#95C2212yes—
38C3×C3⋊#95C2212yes—
39C3×C3⋊#95C2212yes—
40C2×C3×#123—31no—
41C2×C3×C4×D4—31no—
42C22×C3×C4⋊C4—21no—
43C22×C3×C4⋊C4D311yescharacteristic, complemented
44C22×C3×C4⋊C4C2×C311yescharacteristic, complemented
45C2×#929C2×C311yescharacteristic
46C2×C4×#67C2×C311yescharacteristic
47C3×#389—32no—
48C3×#388—32no—
49C3×#387—32no—
50C3×#386—31no—
51C3×#385—31no—
52C3×#385—32no—
53C3×#381—31no—
54C3×C4×C22⋊C4—31no—
55#5213C2×C311yescharacteristic
56#5211C2×C311yescharacteristic, complemented
57#5210C2×C311yescharacteristic, complemented
58C4×#217C2×C311yescharacteristic, complemented
59#4990C2×C312yescomplemented
60#4989C2×C312yescomplemented
61#4978C2×C312yescomplemented
62#4976C2×C312yescomplemented
63C24×C32C2311yescharacteristic
64C23×C3×D3C2311yescharacteristic
65C22×C32×C4—22no—
66C22×C32×C4—22no—
67C22×C32×C4—22no—
68C22×C32×C4—42no—
69C22×C32×C4—42no—
70C22×C32×C4C2×C414yescomplemented
71C22×C32×C4D414yes—
72C22×C32×C4C2312yes—
73C22×C32×C4C2312yes—
74C22×C32×C4C2311yescharacteristic
75C22×C32×C4C2311yescharacteristic
76C2×C3×#67—22no—
77C2×C3×#67—22no—
78C2×C3×#67C2×C414yes—
79C22×C3×Dic3C2311yescharacteristic
80C22×C3×Dic3C2312yes—
81C22×C3×Dic3C2311yescharacteristic
82C22×C3×Dic3C2311yescharacteristic
83C22×C3×Dic3C2312yes—
84C2×C3×C4×D3—22no—
85C2×C3×C4×D3—42no—
86C32×C4⋊C4—24no—
87C32×C4⋊C4—24no—
88C3×#217—22no—
89C3×#217—22no—
90C3×#217C2×C414yescomplemented
91C3×(C2×D3)⋊C4—22no—
92C3×(C2×D3)⋊C4—42no—
93C3×(C2×D3)⋊C4C2×C418yescomplemented
94C3×Dic3⋊C4—22no—
95C3×Dic3⋊C4—42no—
96C3×Dic3⋊C4C2×C418yescomplemented
97C3×C4×Dic3—22no—
98C3×C4×Dic3—42no—
99#2322—31noSylow
100C22×C3×D4—31no—
101C23×C3×C4—21no—
102C23×C3×C4—21no—
103C23×C3×C4—21no—
104C23×C3×C4—31no—
105C23×C3×C4C2×D311yescharacteristic
106C23×C3×C4C2×D311yescharacteristic
107C23×C3×C4C2×D311yescharacteristic
108C23×C3×C4C22×C311yescharacteristic
109C23×C3×C4C22×C311yescharacteristic
110C23×C3×C4C22×C311yescharacteristic
111C22×#67C22×C311yescharacteristic
112C22×C4×D3C22×C311yescharacteristic
113C3×#123—38no—
114C3×C4×D4—64no—
115C2×C3×C4⋊C4—28no—
116C2×C3×C4⋊C4—24no—
117C2×C3×C4⋊C4—24no—
118C2×C3×C4⋊C4—22no—
119C2×C3×C4⋊C4—22no—
120C2×C3×C4⋊C4—32no—
121C2×C3×C4⋊C4—31no—
122C2×C3×C4⋊C4—32no—
123C2×C3×C4⋊C4C2×D312yes—
124C2×C3×C4⋊C4C2×D312yes—
125C2×C3×C4⋊C4C22×C312yes—
126C2×C3×C4⋊C4C22×C312yes—
127C2×C3×C22⋊C4—31no—
128C2×C3×C22⋊C4—32no—
129C2×C3×C22⋊C4—31no—
130C2×C3×C22⋊C4—31no—
131C2×C3×C22⋊C4—31no—
132C2×C3×C22⋊C4—32no—
133C2×C3×C42—31no—
134C2×C3×C42—32no—
135C2×#217C22×C311yescharacteristic
136C2×#217C22×C311yescharacteristic
137C2×#217C22×C311yescharacteristic
138#929C3×C418yescomplemented
139C4×#67—24no—
140C2×(C2×D3)⋊C4C22×C311yescharacteristic
141C2×(C2×D3)⋊C4C22×C312yes—
142C2×(C2×D3)⋊C4C22×C312yes—
143C2×Dic3⋊C4C22×C311yescharacteristic
144C2×Dic3⋊C4C22×C312yes—
145C2×Dic3⋊C4C22×C312yes—
146C2×C4×Dic3C22×C311yescharacteristic
147C2×C4×Dic3C22×C312yes—
148C3×#95—32no—
149C3×#95—32no—
150C3×#95—32no—
151C3×#95—32no—
152C3×#95—32no—
153C3⋊#95C22×C312yes—
154C3⋊#95C22×C312yes—
155C3⋊#95C22×C312yes—
156C3⋊#95C22×C312yes—
157C3⋊#95C22×C312yes—
158C23×C32—22no—
159C23×C32—22no—
160C23×C32C22×C412yes—
161C23×C32C2×D412yes—
162C23×C32#4112yes—
163C23×C32C2411yescharacteristic
164C22×C3×D3—21no—
165C22×C3×D3—21no—
166C22×C3×D3—22no—
167C22×C3×D3—22no—
168C22×C3×D3C22×C412yes—
169C2×C32×C4—28no—
170C2×C32×C4—22no—
171C2×C32×C4—22no—
172C2×C32×C4—22no—
173C2×C32×C4—22no—
174C2×C32×C4—22no—
175C2×C32×C4—22no—
176C2×C32×C4—22no—
177C2×C32×C4—44no—
178C2×C32×C4—44no—
179C2×C32×C4C22×C414yes—
180C2×C32×C4C2×D412yes—
181C2×C32×C4C2×D412yes—
182C3×#67—28no—
183C2×C3×Dic3—21no—
184C2×C3×Dic3—21no—
185C2×C3×Dic3—22no—
186C2×C3×Dic3—22no—
187C2×C3×Dic3—21no—
188C2×C3×Dic3—21no—
189C2×C3×Dic3—22no—
190C2×C3×Dic3—22no—
191C2×C3×Dic3—22no—
192C2×C3×Dic3—22no—
193C2×C3×Dic3—22no—
194C2×C3×Dic3C22×C412yes—
195C2×C3×Dic3C22×C414yes—
196C3×C4×D3—44no—
197C2×#123—31no—
198C2×C4×D4—31no—
199C22×C4⋊C4C3×D311yescharacteristic, complemented
200#389—32no—
201#388—32no—
202#387—32no—
203#386—31no—
204#385—31no—
205#385—32no—
206#381—31no—
207C4×C22⋊C4—31no—
208C24×C3—21no—
209C24×C3—31no—
210C24×C3C22×D311yescharacteristic
211C24×C3C23×C311yescharacteristic
212C23×D3C23×C311yescharacteristic
213C2×C3×D4—34no—
214C2×C3×D4—62no—
215C2×C3×D4—62no—
216C22×C3×C4—24no—
217C22×C3×C4—24no—
218C22×C3×C4—22no—
219C22×C3×C4—22no—
220C22×C3×C4—22no—
221C22×C3×C4—22no—
222C22×C3×C4—24no—
223C22×C3×C4—22no—
224C22×C3×C4—22no—
225C22×C3×C4—24no—
226C22×C3×C4—24no—
227C22×C3×C4—22no—
228C22×C3×C4—22no—
229C22×C3×C4—21no—
230C22×C3×C4—21no—
231C22×C3×C4—32no—
232C22×C3×C4—31no—
233C22×C3×C4—32no—
234C22×C3×C4—31no—
235C22×C3×C4—31no—
236C22×C3×C4—42no—
237C22×C3×C4—42no—
238C22×C3×C4—42no—
239C22×C3×C4—42no—
240C22×C3×C4—44no—
241C22×C3×C4—44no—
242C22×C3×C4—62no—
243C22×C3×C4—122no—
244C22×C3×C4C4×D314yescomplemented
245C22×C3×C4#6714yes—
246C22×C3×C4C2×C3×C414yescomplemented
247C22×C3×C4C3×D414yes—
248C22×C3×C4C22×D312yes—
249C22×C3×C4C22×D312yes—
250C22×C3×C4C22×D311yescharacteristic
251C22×C3×C4C22×D311yescharacteristic
252C22×C3×C4C23×C312yes—
253C22×C3×C4C23×C312yes—
254C22×C3×C4C23×C311yescharacteristic
255C22×C3×C4C23×C311yescharacteristic
256C2×#67—22no—
257C2×#67—22no—
258C2×#67C2×C3×C414yes—
259C22×Dic3C23×C311yescharacteristic
260C22×Dic3C23×C312yes—
261C22×Dic3C23×C311yescharacteristic
262C22×Dic3C23×C311yescharacteristic
263C22×Dic3C23×C312yes—
264C2×C4×D3—22no—
265C2×C4×D3—42no—
266C3×C4⋊C4—28no—
267C3×C4⋊C4—28no—
268C3×C4⋊C4—24no—
269C3×C4⋊C4—24no—
270C3×C4⋊C4—24no—
271C3×C4⋊C4—24no—
272C3×C4⋊C4—38no—
273C3×C4⋊C4—62no—
274C3×C4⋊C4—122no—
275C3×C22⋊C4—34no—
276C3×C22⋊C4—38no—
277C3×C22⋊C4—62no—
278C3×C22⋊C4—62no—
279C3×C22⋊C4—62no—
280C3×C22⋊C4—122no—
281C3×C42—62no—
282C3×C42—122no—
283#217—22no—
284#217—22no—
285#217C2×C3×C414yescomplemented
286(C2×D3)⋊C4—22no—
287(C2×D3)⋊C4—42no—
288(C2×D3)⋊C4C2×C3×C418yescomplemented
289Dic3⋊C4—22no—
290Dic3⋊C4—42no—
291Dic3⋊C4C2×C3×C418yescomplemented
292C4×Dic3—22no—
293C4×Dic3—42no—
294C22×C32—24no—
295C22×C32—22no—
296C22×C32—22no—
297C22×C32—24no—
298C22×C32C4×D414yes—
299C22×C32C23×C411yescharacteristic
300C22×C32C22×D411yescharacteristic
301C22×C32C2×#4111yescharacteristic
302C22×C32H(5,𝔽2)12yes—
303C22×C322−1+412yes—
304C2×C3×D3—22no—
305C2×C3×D3—24no—
306C2×C3×D3—41no—
307C2×C3×D3—41no—
308C2×C3×D3—42no—
309C32×C4—24no—
310C32×C4—22no—
311C32×C4—22no—
312C32×C4—42no—
313C3×Dic3—22no—
314C3×Dic3—24no—
315C3×Dic3—41no—
316C3×Dic3—41no—
317C3×Dic3—42no—
318C22×D4—31no—
319C23×C4—31no—
320C23×C4C2×C3×D311yescharacteristic
321C23×C4C2×C3×D311yescharacteristic
322C23×C4C2×C3×D311yescharacteristic
323#123—38no—
324C4×D4—64no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—32no—
327C2×C4⋊C4—31no—
328C2×C4⋊C4—32no—
329C2×C4⋊C4C2×C3×D312yes—
330C2×C4⋊C4C2×C3×D312yes—
331C2×C22⋊C4—31no—
332C2×C22⋊C4—32no—
333C2×C22⋊C4—31no—
334C2×C22⋊C4—31no—
335C2×C22⋊C4—31no—
336C2×C22⋊C4—32no—
337C2×C42—31no—
338C2×C42—32no—
339#95—32no—
340#95—32no—
341#95—32no—
342#95—32no—
343#95—32no—
344C23×C3—24no—
345C23×C3—24no—
346C23×C3—22no—
347C23×C3—22no—
348C23×C3—22no—
349C23×C3—22no—
350C23×C3—21no—
351C23×C3—22no—
352C23×C3—22no—
353C23×C3—22no—
354C23×C3—32no—
355C23×C3—61no—
356C23×C3—62no—
357C23×C3—62no—
358C23×C3—61no—
359C23×C3C2×C4×D312yes—
360C23×C3#23512yes—
361C23×C3C2×#6712yes—
362C23×C3C22×C3×C412yes—
363C23×C3C2×C3×D412yes—
364C23×C3C3×#4112yes—
365C23×C3C23×D311yescharacteristic
366C23×C3C24×C311yescharacteristic
367C22×D3—21no—
368C22×D3—21no—
369C22×D3—22no—
370C22×D3—22no—
371C22×D3C22×C3×C412yes—
372C3×D4—68no—
373C2×C3×C4—24no—
374C2×C3×C4—216no—
375C2×C3×C4—24no—
376C2×C3×C4—28no—
377C2×C3×C4—28no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—22no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—24no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—22no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—22no—
393C2×C3×C4—24no—
394C2×C3×C4—22no—
395C2×C3×C4—22no—
396C2×C3×C4—34no—
397C2×C3×C4—32no—
398C2×C3×C4—42no—
399C2×C3×C4—42no—
400C2×C3×C4—42no—
401C2×C3×C4—42no—
402C2×C3×C4—44no—
403C2×C3×C4—44no—
404C2×C3×C4—48no—
405C2×C3×C4—48no—
406C2×C3×C4—44no—
407C2×C3×C4—44no—
408C2×C3×C4—61no—
409C2×C3×C4—62no—
410C2×C3×C4—62no—
411C2×C3×C4—61no—
412C2×C3×C4—62no—
413C2×C3×C4—62no—
414C2×C3×C4—62no—
415C2×C3×C4—62no—
416C2×C3×C4—62no—
417C2×C3×C4—61no—
418C2×C3×C4—61no—
419C2×C3×C4—124no—
420C2×C3×C4C2×C4×D314yes—
421C2×C3×C4C2×#6712yes—
422C2×C3×C4C2×#6712yes—
423C2×C3×C4C22×C3×C414yes—
424C2×C3×C4C2×C3×D412yes—
425C2×C3×C4C2×C3×D412yes—
426#67—28no—
427C2×Dic3—21no—
428C2×Dic3—21no—
429C2×Dic3—22no—
430C2×Dic3—22no—
431C2×Dic3—21no—
432C2×Dic3—21no—
433C2×Dic3—22no—
434C2×Dic3—22no—
435C2×Dic3—22no—
436C2×Dic3—22no—
437C2×Dic3—22no—
438C2×Dic3C22×C3×C412yes—
439C2×Dic3C22×C3×C414yes—
440C4×D3—44no—
441C2×C32—24no—
442C2×C32C2×C4×D411yescharacteristic
443C2×C32#52012yes—
444C2×C32#53411yescharacteristic
445C2×C32#53611yescharacteristic
446C2×C32#53912yes—
447C3×D3—42no—
448C24—31no—
449C24C22×C3×D311yescharacteristic
450C2×D4—34no—
451C2×D4—62no—
452C2×D4—62no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—32no—
457C22×C4—31no—
458C22×C4—32no—
459C22×C4—31no—
460C22×C4—31no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—62no—
464C22×C4—122no—
465C22×C4C3×C4×D314yescomplemented
466C22×C4C3×#6714yes—
467C22×C4C22×C3×D312yes—
468C22×C4C22×C3×D312yes—
469C22×C4C22×C3×D311yescharacteristic
470C22×C4C22×C3×D311yescharacteristic
471C4⋊C4—24no—
472C4⋊C4—24no—
473C4⋊C4—38no—
474C4⋊C4—62no—
475C4⋊C4—122no—
476C22⋊C4—34no—
477C22⋊C4—38no—
478C22⋊C4—62no—
479C22⋊C4—62no—
480C22⋊C4—62no—
481C22⋊C4—122no—
482C42—62no—
483C42—122no—
484C22×C3—24no—
485C22×C3—28no—
486C22×C3—28no—
487C22×C3—24no—
488C22×C3—24no—
489C22×C3—24no—
490C22×C3—22no—
491C22×C3—22no—
492C22×C3—24no—
493C22×C3—22no—
494C22×C3—22no—
495C22×C3—24no—
496C22×C3—24no—
497C22×C3—21no—
498C22×C3—21no—
499C22×C3—22no—
500C22×C3—22no—
501C22×C3—21no—
502C22×C3—64no—
503C22×C3—62no—
504C22×C3—122no—
505C22×C3—121no—
506C22×C3—121no—
507C22×C3C4×#6714yes—
508C22×C3C3×C4×D414yes—
509C22×C3C22×C4×D311yescharacteristic
510C22×C3C2×#23511yescharacteristic
511C22×C3#100412yes—
512C22×C3#100712yes—
513C22×C3C22×#6711yescharacteristic
514C22×C3C23×C3×C411yescharacteristic
515C22×C3C22×C3×D411yescharacteristic
516C22×C3C2×C3×#4111yescharacteristic
517C22×C3C3×H(5,𝔽2)12yes—
518C22×C3C3×2−1+412yes—
519C2×D3—22no—
520C2×D3—24no—
521C2×D3—41no—
522C2×D3—41no—
523C2×D3—42no—
524C3×C4—28no—
525C3×C4—24no—
526C3×C4—22no—
527C3×C4—22no—
528C3×C4—24no—
529C3×C4—22no—
530C3×C4—22no—
531C3×C4—42no—
532C3×C4—42no—
533C3×C4—44no—
534C3×C4—42no—
535C3×C4—42no—
536C3×C4—64no—
537C3×C4—62no—
538C3×C4—122no—
539C3×C4—121no—
540C3×C4—121no—
541Dic3—22no—
542Dic3—24no—
543Dic3—41no—
544Dic3—41no—
545Dic3—42no—
546C32#232211yescharacteristic, complemented, Sylow
547C23—22no—
548C23—22no—
549C23—32no—
550C23—61no—
551C23—62no—
552C23—62no—
553C23—61no—
554C23C2×C3×C4×D312yes—
555C23C3×#23512yes—
556C23C2×C3×#6712yes—
557C23C23×C3×D311yescharacteristic
558D4—68no—
559C2×C4—28no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—34no—
568C2×C4—32no—
569C2×C4—44no—
570C2×C4—44no—
571C2×C4—61no—
572C2×C4—62no—
573C2×C4—62no—
574C2×C4—61no—
575C2×C4—62no—
576C2×C4—62no—
577C2×C4—62no—
578C2×C4—62no—
579C2×C4—62no—
580C2×C4—61no—
581C2×C4—61no—
582C2×C4—124no—
583C2×C4C2×C3×C4×D314yes—
584C2×C4C2×C3×#6712yes—
585C2×C4C2×C3×#6712yes—
586C2×C3—28no—
587C2×C3—24no—
588C2×C3—24no—
589C2×C3—22no—
590C2×C3—22no—
591C2×C3—21no—
592C2×C3—21no—
593C2×C3—21no—
594C2×C3—122no—
595C2×C3#550412yes—
596C2×C3#551512yes—
597C2×C3C2×C4×#6711yescharacteristic
598C2×C3#580411yescharacteristic
599C2×C3#581611yescharacteristic
600C2×C3C2×C3×C4×D411yescharacteristic
601C2×C3C3×#52012yes—
602C2×C3C3×#53411yescharacteristic
603C2×C3C3×#53611yescharacteristic
604C2×C3C3×#53912yes—
605D3—42no—
606C22—24no—
607C22—24no—
608C22—22no—
609C22—22no—
610C22—64no—
611C22—62no—
612C22—122no—
613C22—121no—
614C22—121no—
615C22C3×C4×#6714yes—
616C22C22×C3×C4×D311yescharacteristic
617C22C2×C3×#23511yescharacteristic
618C22C3×#100412yes—
619C22C3×#100712yes—
620C22C22×C3×#6711yescharacteristic
621C4—24no—
622C4—22no—
623C4—22no—
624C4—42no—
625C4—64no—
626C4—62no—
627C4—122no—
628C4—121no—
629C4—121no—
630C3—21no—
631C3#8215811yescharacteristic, direct product factor
632C3C3×#232211yescharacteristic, complemented
633C2—24no—
634C2—122no—
635C2C3×#550412yes—
636C2C3×#551512yes—
637C2C2×C3×C4×#6711yescharacteristic
638C2C3×#580411yescharacteristic
639C2C3×#581611yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC22×C32×C4⋊C4C2
socleC23×C32C24
prime radicalC22×C3×#67C22
cosocleC23×C3C24×C3
hypercenterC22×C3×C4⋊C4D3
hypocenterC3C3×#2322
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C22×C3×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×C32×C4⋊C4C2semidirect
5. C3×#5211C2semidirect
6. C3×#5210C2semidirect
7. C3×C4×#217C2semidirect
8. C3×#4990C2semidirect
9. C3×#4989C2semidirect
10. C3×#4978C2semidirect
11. C3×#4976C2semidirect
13. #82158C3direct (N × H)
25. C3×#929C4semidirect
43. C22×C3×C4⋊C4D3semidirect
44. C22×C3×C4⋊C4C2×C3semidirect
56. #5211C2×C3semidirect
57. #5210C2×C3semidirect
58. C4×#217C2×C3semidirect
59. #4990C2×C3semidirect
60. #4989C2×C3semidirect
61. #4978C2×C3semidirect
62. #4976C2×C3semidirect
70. C22×C32×C4C2×C4semidirect
90. C3×#217C2×C4semidirect
93. C3×(C2×D3)⋊C4C2×C4semidirect
96. C3×Dic3⋊C4C2×C4semidirect
138. #929C3×C4semidirect
199. C22×C4⋊C4C3×D3semidirect
244. C22×C3×C4C4×D3semidirect
246. C22×C3×C4C2×C3×C4semidirect
285. #217C2×C3×C4semidirect
288. (C2×D3)⋊C4C2×C3×C4semidirect
291. Dic3⋊C4C2×C3×C4semidirect
465. C22×C4C3×C4×D3semidirect
546. C32#2322semidirect
631. C3#82158direct (N × H)
632. C3C3×#2322semidirect

Maximal subgroups

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

subgroupindex
C22×C32×C4⋊C42
C2×C3×#9292
C2×C3×C4×#672
C3×#52132
C3×#52112
C3×#52102
C3×C4×#2172
C3×#49902
C3×#49892
C3×#49782
C3×#49762
C3×#23223
#821583