Finite Group Databasebeta

← C32×#4957 #13162379

Subgroups — C32×#4957 #13162379

Order 1728.

2076 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C32×#67C211yesmaximal, characteristic
2C2×C33×C22⋊C4C211yesmaximal, characteristic, complemented
3C2×C32×#217C211yesmaximal, characteristic, complemented
4C2×C32×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
5C2×C32×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
6C2×C32×Dic3⋊C4C211yesmaximal, characteristic, complemented
7C2×C32×C4×Dic3C211yesmaximal, characteristic, complemented
8C32×#390—31nomaximal
9C3×#4957C314yesmaximal, direct product factor
10C24×C33C2211yescharacteristic
11C23×C32×D3C2211yescharacteristic
12C22×C33×C4C2211yescharacteristic
13C22×C33×C4C2211yescharacteristic
14C2×C32×#67—22no—
15C2×C32×#67—22no—
16C2×C32×#67C414yescomplemented
17C22×C32×Dic3C2211yescharacteristic
18C22×C32×Dic3C2211yescharacteristic
19C22×C32×Dic3C2211yescharacteristic
20C33×C22⋊C4—22no—
21C32×#217—22no—
22C32×(C2×D3)⋊C4—22no—
23C32×(C2×D3)⋊C4—22no—
24C32×Dic3⋊C4—22no—
25C32×C4×Dic3—22no—
26C22×C32×D4—31no—
27C22×C3×#67C2×C314yes—
28C2×C32×C4⋊C4—31no—
29C2×C32×C22⋊C4—24no—
30C2×C32×C22⋊C4—31no—
31C2×C32×C22⋊C4—31no—
32C2×C32×C22⋊C4—31no—
33C2×C32×C22⋊C4D311yescharacteristic, complemented
34C2×C32×C22⋊C4C2×C314yescomplemented
35C2×C32×C42—31no—
36C2×C3×#217C2×C314yescomplemented
37C2×C3×(C2×D3)⋊C4C2×C314yescomplemented
38C2×C3×(C2×D3)⋊C4C2×C314yescomplemented
39C2×C3×Dic3⋊C4C2×C314yescomplemented
40C2×C3×C4×Dic3C2×C314yescomplemented
41C23×C33—21no—
42C23×C33—21no—
43C23×C33—21no—
44C23×C33—21no—
45C23×C33—21no—
46C23×C33—21no—
47C23×C33C2×C412yes—
48C23×C33C2311yescharacteristic
49C22×C32×D3—21no—
50C22×C32×D3—21no—
51C22×C32×D3—21no—
52C22×C32×D3—21no—
53C22×C32×D3—21no—
54C22×C32×D3—21no—
55C22×C32×D3C2×C412yes—
56C2×C33×C4—21no—
57C2×C33×C4—21no—
58C2×C33×C4—21no—
59C2×C33×C4—21no—
60C2×C33×C4—21no—
61C2×C33×C4D412yescomplemented
62C32×#67—28no—
63C2×C32×Dic3—21no—
64C2×C32×Dic3—21no—
65C2×C32×Dic3—21no—
66C2×C32×Dic3—21no—
67C2×C32×Dic3—21no—
68C2×C32×Dic3C2×C412yes—
69C2×C32×Dic3D412yes—
70C2×C32×Dic3D412yes—
71C2×C32×Dic3D412yescomplemented
72C3×#390—34no—
73#4957C3211yescharacteristic, direct product factor
74C24×C32—24no—
75C24×C32—31no—
76C24×C32C2×D311yescharacteristic
77C24×C32C22×C314yes—
78C23×C3×D3C22×C314yes—
79C2×C32×D4—34no—
80C2×C32×D4—62no—
81C2×C32×D4—62no—
82C22×C32×C4—24no—
83C22×C32×C4—24no—
84C22×C32×C4—31no—
85C22×C32×C4—31no—
86C22×C32×C4—31no—
87C22×C32×C4C2×D311yescharacteristic
88C22×C32×C4C2×D311yescharacteristic
89C22×C32×C4C22×C314yes—
90C22×C32×C4C22×C314yes—
91C2×C3×#67—28no—
92C2×C3×#67—28no—
93C2×C3×#67C3×C4116yescomplemented
94C22×C3×Dic3C22×C314yes—
95C22×C3×Dic3C22×C314yes—
96C22×C3×Dic3C22×C314yes—
97C32×C4⋊C4—62no—
98C32×C22⋊C4—216no—
99C32×C22⋊C4—22no—
100C32×C22⋊C4—28no—
101C32×C22⋊C4—62no—
102C32×C22⋊C4—62no—
103C32×C22⋊C4—62no—
104C32×C42—62no—
105C3×#217—28no—
106C3×(C2×D3)⋊C4—28no—
107C3×(C2×D3)⋊C4—28no—
108C3×Dic3⋊C4—28no—
109C3×C4×Dic3—28no—
110C22×C33—22no—
111C22×C33—22no—
112C22×C33—22no—
113C22×C33—41no—
114C22×C33—41no—
115C22×C33—41no—
116C22×C33—41no—
117C22×C33C22×C411yescharacteristic
118C22×C33C2×D411yescharacteristic
119C22×C33C2×D411yescharacteristic
120C22×C33C2×D411yescharacteristic
121C22×C33C2×D411yescharacteristic
122C22×C33#4111yescharacteristic
123C22×C33#4111yescharacteristic
124C2×C32×D3—22no—
125C2×C32×D3—22no—
126C2×C32×D3—22no—
127C2×C32×D3—41no—
128C2×C32×D3—41no—
129C2×C32×D3—41no—
130C2×C32×D3—41no—
131C33×C4—22no—
132C33×C4—41no—
133C32×Dic3—22no—
134C32×Dic3—41no—
135C32×Dic3C22⋊C414yescomplemented
136C22×C3×D4—34no—
137C22×#67C2×C3211yescharacteristic
138C2×C3×C4⋊C4—34no—
139C2×C3×C22⋊C4—24no—
140C2×C3×C22⋊C4—34no—
141C2×C3×C22⋊C4—34no—
142C2×C3×C22⋊C4—34no—
143C2×C3×C22⋊C4C3×D314yescomplemented
144C2×C3×C22⋊C4C2×C3211yescharacteristic, complemented
145C2×C3×C42—34no—
146C2×#217C2×C3211yescharacteristic, complemented
147C2×(C2×D3)⋊C4C2×C3211yescharacteristic, complemented
148C2×(C2×D3)⋊C4C2×C3211yescharacteristic, complemented
149C2×Dic3⋊C4C2×C3211yescharacteristic, complemented
150C2×C4×Dic3C2×C3211yescharacteristic, complemented
151C23×C32—28no—
152C23×C32—28no—
153C23×C32—21no—
154C23×C32—21no—
155C23×C32—21no—
156C23×C32—21no—
157C23×C32—21no—
158C23×C32—21no—
159C23×C32—24no—
160C23×C32—24no—
161C23×C32—28no—
162C23×C32—24no—
163C23×C32—24no—
164C23×C32—24no—
165C23×C32—24no—
166C23×C32—24no—
167C23×C32—32no—
168C23×C32—44no—
169C23×C32—44no—
170C23×C32—44no—
171C23×C32—44no—
172C23×C32—61no—
173C23×C32—61no—
174C23×C32—61no—
175C23×C32—61no—
176C23×C32—61no—
177C23×C32—61no—
178C23×C32C4×D312yes—
179C23×C32C2×C3×C418yes—
180C23×C32C22×D311yescharacteristic
181C23×C32C23×C314yes—
182C22×C3×D3—24no—
183C22×C3×D3—24no—
184C22×C3×D3—24no—
185C22×C3×D3—24no—
186C22×C3×D3—24no—
187C22×C3×D3—24no—
188C22×C3×D3C2×C3×C418yes—
189C32×D4—68no—
190C2×C32×C4—21no—
191C2×C32×C4—21no—
192C2×C32×C4—28no—
193C2×C32×C4—21no—
194C2×C32×C4—21no—
195C2×C32×C4—21no—
196C2×C32×C4—24no—
197C2×C32×C4—28no—
198C2×C32×C4—24no—
199C2×C32×C4—24no—
200C2×C32×C4—24no—
201C2×C32×C4—24no—
202C2×C32×C4—32no—
203C2×C32×C4—32no—
204C2×C32×C4—32no—
205C2×C32×C4—32no—
206C2×C32×C4—44no—
207C2×C32×C4—44no—
208C2×C32×C4—44no—
209C2×C32×C4—44no—
210C2×C32×C4—61no—
211C2×C32×C4—61no—
212C2×C32×C4—61no—
213C2×C32×C4—61no—
214C2×C32×C4—61no—
215C2×C32×C4#6712yescomplemented
216C2×C32×C4C3×D418yescomplemented
217C3×#67—232no—
218C2×C3×Dic3—24no—
219C2×C3×Dic3—24no—
220C2×C3×Dic3—24no—
221C2×C3×Dic3—24no—
222C2×C3×Dic3—24no—
223C2×C3×Dic3C2×C3×C418yes—
224C2×C3×Dic3C3×D418yes—
225C2×C3×Dic3C3×D418yes—
226C2×C3×Dic3C3×D418yescomplemented
227#390—31noSylow
228C2×C33—42no—
229C2×C33C2×C22⋊C411yescharacteristic
230C2×C33C4×D411yescharacteristic
231C2×C33C4×D411yescharacteristic
232C2×C33#12111yescharacteristic
233C2×C33#12111yescharacteristic
234C2×C33#12411yescharacteristic
235C2×C33#12711yescharacteristic
236C32×D3—42no—
237C24×C3—24no—
238C24×C3—34no—
239C24×C3C2×C3×D314yes—
240C24×C3C22×C3211yescharacteristic
241C23×D3C22×C3211yescharacteristic
242C2×C3×D4—316no—
243C2×C3×D4—68no—
244C2×C3×D4—68no—
245C22×C3×C4—24no—
246C22×C3×C4—24no—
247C22×C3×C4—34no—
248C22×C3×C4—34no—
249C22×C3×C4—34no—
250C22×C3×C4C2×C3×D314yes—
251C22×C3×C4C2×C3×D314yes—
252C22×C3×C4C22×C3211yescharacteristic
253C22×C3×C4C22×C3211yescharacteristic
254C2×#67—22no—
255C2×#67—22no—
256C2×#67C32×C414yescomplemented
257C22×Dic3C22×C3211yescharacteristic
258C22×Dic3C22×C3211yescharacteristic
259C22×Dic3C22×C3211yescharacteristic
260C3×C4⋊C4—68no—
261C3×C22⋊C4—216no—
262C3×C22⋊C4—28no—
263C3×C22⋊C4—22no—
264C3×C22⋊C4—68no—
265C3×C22⋊C4—68no—
266C3×C22⋊C4—68no—
267C3×C42—68no—
268#217—22no—
269(C2×D3)⋊C4—22no—
270(C2×D3)⋊C4—22no—
271Dic3⋊C4—22no—
272C4×Dic3—22no—
273C22×C32—216no—
274C22×C32—22no—
275C22×C32—22no—
276C22×C32—22no—
277C22×C32—28no—
278C22×C32—24no—
279C22×C32—24no—
280C22×C32—24no—
281C22×C32—24no—
282C22×C32—24no—
283C22×C32—24no—
284C22×C32—24no—
285C22×C32—28no—
286C22×C32—28no—
287C22×C32—48no—
288C22×C32—48no—
289C22×C32—48no—
290C22×C32—48no—
291C22×C32—48no—
292C22×C32—48no—
293C22×C32—41no—
294C22×C32—41no—
295C22×C32—41no—
296C22×C32—41no—
297C22×C32—44no—
298C22×C32—44no—
299C22×C32—44no—
300C22×C32—44no—
301C22×C32—62no—
302C22×C32—62no—
303C22×C32—62no—
304C22×C32—121no—
305C22×C32—121no—
306C22×C32—121no—
307C22×C32—121no—
308C22×C32C2×C4×D311yescharacteristic
309C22×C32#23511yescharacteristic
310C22×C32D3×D411yescharacteristic
311C22×C32D3×D411yescharacteristic
312C22×C32D3×D411yescharacteristic
313C22×C32#23711yescharacteristic
314C22×C32C2×#6711yescharacteristic
315C22×C32C22×C3×C414yes—
316C22×C32C2×C3×D414yes—
317C22×C32C2×C3×D414yes—
318C22×C32C2×C3×D414yes—
319C22×C32C2×C3×D414yes—
320C22×C32C3×#4114yes—
321C22×C32C3×#4114yes—
322C2×C3×D3—28no—
323C2×C3×D3—28no—
324C2×C3×D3—28no—
325C2×C3×D3—44no—
326C2×C3×D3—44no—
327C2×C3×D3—44no—
328C2×C3×D3—44no—
329C32×C4—22no—
330C32×C4—28no—
331C32×C4—34no—
332C32×C4—48no—
333C32×C4—48no—
334C32×C4—41no—
335C32×C4—44no—
336C32×C4—62no—
337C32×C4—121no—
338C3×Dic3—28no—
339C3×Dic3—44no—
340C3×Dic3C3×C22⋊C4116yescomplemented
341C22×D4—31no—
342C2×C4⋊C4—31no—
343C2×C22⋊C4—31no—
344C2×C22⋊C4—31no—
345C2×C22⋊C4—31no—
346C2×C22⋊C4C32×D311yescharacteristic, complemented
347C2×C42—31no—
348C33#39011yescharacteristic, complemented, Sylow
349C23×C3—28no—
350C23×C3—28no—
351C23×C3—24no—
352C23×C3—24no—
353C23×C3—24no—
354C23×C3—24no—
355C23×C3—24no—
356C23×C3—24no—
357C23×C3—21no—
358C23×C3—21no—
359C23×C3—21no—
360C23×C3—21no—
361C23×C3—21no—
362C23×C3—21no—
363C23×C3—28no—
364C23×C3—24no—
365C23×C3—38no—
366C23×C3—44no—
367C23×C3—44no—
368C23×C3—44no—
369C23×C3—44no—
370C23×C3—64no—
371C23×C3—64no—
372C23×C3—64no—
373C23×C3—64no—
374C23×C3—64no—
375C23×C3—64no—
376C23×C3C3×C4×D318yes—
377C23×C3C2×C32×C412yes—
378C23×C3C22×C3×D314yes—
379C23×C3C23×C3211yescharacteristic
380C22×D3—21no—
381C22×D3—21no—
382C22×D3—21no—
383C22×D3—21no—
384C22×D3—21no—
385C22×D3—21no—
386C22×D3C2×C32×C412yes—
387C3×D4—632no—
388C2×C3×C4—24no—
389C2×C3×C4—24no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—28no—
393C2×C3×C4—24no—
394C2×C3×C4—24no—
395C2×C3×C4—24no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—28no—
400C2×C3×C4—38no—
401C2×C3×C4—38no—
402C2×C3×C4—38no—
403C2×C3×C4—38no—
404C2×C3×C4—44no—
405C2×C3×C4—44no—
406C2×C3×C4—44no—
407C2×C3×C4—44no—
408C2×C3×C4—64no—
409C2×C3×C4—64no—
410C2×C3×C4—64no—
411C2×C3×C4—64no—
412C2×C3×C4—64no—
413C2×C3×C4C3×#6718yescomplemented
414C2×C3×C4C32×D412yescomplemented
415#67—28no—
416C2×Dic3—21no—
417C2×Dic3—21no—
418C2×Dic3—21no—
419C2×Dic3—21no—
420C2×Dic3—21no—
421C2×Dic3C2×C32×C412yes—
422C2×Dic3C32×D412yes—
423C2×Dic3C32×D412yes—
424C2×Dic3C32×D412yescomplemented
425C2×C32—24no—
426C2×C32—24no—
427C2×C32—24no—
428C2×C32—24no—
429C2×C32—24no—
430C2×C32—24no—
431C2×C32—24no—
432C2×C32—416no—
433C2×C32—42no—
434C2×C32—48no—
435C2×C32—122no—
436C2×C32D3×C22⋊C411yescharacteristic
437C2×C32#67⋊C411yescharacteristic
438C2×C32#88411yescharacteristic
439C2×C32#88511yescharacteristic
440C2×C32C4×#6711yescharacteristic
441C2×C32#93911yescharacteristic
442C2×C32#94011yescharacteristic
443C2×C32C2×C3×C22⋊C414yes—
444C2×C32C3×C4×D414yes—
445C2×C32C3×C4×D414yes—
446C2×C32C3×#12114yes—
447C2×C32C3×#12114yes—
448C2×C32C3×#12414yes—
449C2×C32C3×#12714yes—
450C3×D3—48no—
451C24—31no—
452C24C2×C32×D311yescharacteristic
453C2×D4—34no—
454C2×D4—62no—
455C2×D4—62no—
456C22×C4—31no—
457C22×C4—31no—
458C22×C4—31no—
459C22×C4C2×C32×D311yescharacteristic
460C22×C4C2×C32×D311yescharacteristic
461C4⋊C4—62no—
462C22⋊C4—22no—
463C22⋊C4—62no—
464C22⋊C4—62no—
465C22⋊C4—62no—
466C42—62no—
467C22×C3—216no—
468C22×C3—28no—
469C22×C3—28no—
470C22×C3—28no—
471C22×C3—22no—
472C22×C3—22no—
473C22×C3—22no—
474C22×C3—24no—
475C22×C3—24no—
476C22×C3—24no—
477C22×C3—24no—
478C22×C3—24no—
479C22×C3—24no—
480C22×C3—24no—
481C22×C3—48no—
482C22×C3—48no—
483C22×C3—48no—
484C22×C3—48no—
485C22×C3—48no—
486C22×C3—48no—
487C22×C3—44no—
488C22×C3—44no—
489C22×C3—44no—
490C22×C3—44no—
491C22×C3—41no—
492C22×C3—41no—
493C22×C3—41no—
494C22×C3—41no—
495C22×C3—68no—
496C22×C3—68no—
497C22×C3—68no—
498C22×C3—124no—
499C22×C3—124no—
500C22×C3—124no—
501C22×C3—124no—
502C22×C3C2×C3×C4×D314yes—
503C22×C3C3×#23514yes—
504C22×C3C3×D3×D414yes—
505C22×C3C3×D3×D414yes—
506C22×C3C3×D3×D414yes—
507C22×C3C3×#23714yes—
508C22×C3C2×C3×#6714yes—
509C22×C3C22×C32×C411yescharacteristic
510C22×C3C2×C32×D411yescharacteristic
511C22×C3C2×C32×D411yescharacteristic
512C22×C3C2×C32×D411yescharacteristic
513C22×C3C2×C32×D411yescharacteristic
514C22×C3C32×#4111yescharacteristic
515C22×C3C32×#4111yescharacteristic
516C2×D3—22no—
517C2×D3—22no—
518C2×D3—22no—
519C2×D3—41no—
520C2×D3—41no—
521C2×D3—41no—
522C2×D3—41no—
523C3×C4—28no—
524C3×C4—22no—
525C3×C4—316no—
526C3×C4—48no—
527C3×C4—48no—
528C3×C4—44no—
529C3×C4—41no—
530C3×C4—68no—
531C3×C4—124no—
532Dic3—22no—
533Dic3—41no—
534Dic3C32×C22⋊C414yescomplemented
535C32—24no—
536C32#495711yescharacteristic, direct product factor
537C32C3×#39014yescomplemented
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—32no—
545C23—61no—
546C23—61no—
547C23—61no—
548C23—61no—
549C23—61no—
550C23—61no—
551C23C32×C4×D312yes—
552C23C22×C32×D311yescharacteristic
553D4—68no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—32no—
560C2×C4—32no—
561C2×C4—32no—
562C2×C4—32no—
563C2×C4—61no—
564C2×C4—61no—
565C2×C4—61no—
566C2×C4—61no—
567C2×C4—61no—
568C2×C4C32×#6712yescomplemented
569C2×C3—24no—
570C2×C3—24no—
571C2×C3—24no—
572C2×C3—24no—
573C2×C3—24no—
574C2×C3—24no—
575C2×C3—24no—
576C2×C3—416no—
577C2×C3—48no—
578C2×C3—42no—
579C2×C3—128no—
580C2×C3C3×D3×C22⋊C414yes—
581C2×C3C3×#67⋊C414yes—
582C2×C3C3×#88414yes—
583C2×C3C3×#88514yes—
584C2×C3C3×C4×#6714yes—
585C2×C3C3×#93914yes—
586C2×C3C3×#94014yes—
587C2×C3C2×C32×C22⋊C411yescharacteristic
588C2×C3C32×C4×D411yescharacteristic
589C2×C3C32×C4×D411yescharacteristic
590C2×C3C32×#12111yescharacteristic
591C2×C3C32×#12111yescharacteristic
592C2×C3C32×#12411yescharacteristic
593C2×C3C32×#12711yescharacteristic
594D3—42no—
595C22—22no—
596C22—22no—
597C22—22no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—41no—
602C22—62no—
603C22—62no—
604C22—62no—
605C22—121no—
606C22—121no—
607C22—121no—
608C22—121no—
609C22C2×C32×C4×D311yescharacteristic
610C22C32×#23511yescharacteristic
611C22C32×D3×D411yescharacteristic
612C22C32×D3×D411yescharacteristic
613C22C32×D3×D411yescharacteristic
614C22C32×#23711yescharacteristic
615C22C2×C32×#6711yescharacteristic
616C4—22no—
617C4—34no—
618C4—41no—
619C4—62no—
620C4—121no—
621C3—24no—
622C3C3×#495714yesdirect product factor
623C3C32×#39011yescharacteristic, complemented
624C2—42no—
625C2—122no—
626C2C32×D3×C22⋊C411yescharacteristic
627C2C32×#67⋊C411yescharacteristic
628C2C32×#88411yescharacteristic
629C2C32×#88511yescharacteristic
630C2C32×C4×#6711yescharacteristic
631C2C32×#93911yescharacteristic
632C2C32×#94011yescharacteristic
subgroupG/H
centerC23×C32C22×D3
commutatorC22×C3C22×C32×C4
FrattiniC23C22×C32×D3
FittingC2×C33×C22⋊C4C2
socleC23×C33C23
prime radicalC22×C32×#67C2
cosocleC23×C3C23×C32
hypercenterC2×C32×C22⋊C4D3
hypocenterC3C32×#390
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C32 ◁ C2×C32×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C33×C22⋊C4C2semidirect
3. C2×C32×#217C2semidirect
4. C2×C32×(C2×D3)⋊C4C2semidirect
5. C2×C32×(C2×D3)⋊C4C2semidirect
6. C2×C32×Dic3⋊C4C2semidirect
7. C2×C32×C4×Dic3C2semidirect
9. C3×#4957C3direct (N × H)
16. C2×C32×#67C4semidirect
33. C2×C32×C22⋊C4D3semidirect
34. C2×C32×C22⋊C4C2×C3semidirect
36. C2×C3×#217C2×C3semidirect
37. C2×C3×(C2×D3)⋊C4C2×C3semidirect
38. C2×C3×(C2×D3)⋊C4C2×C3semidirect
39. C2×C3×Dic3⋊C4C2×C3semidirect
40. C2×C3×C4×Dic3C2×C3semidirect
61. C2×C33×C4D4semidirect
71. C2×C32×Dic3D4semidirect
73. #4957C32direct (N × H)
93. C2×C3×#67C3×C4semidirect
135. C32×Dic3C22⋊C4semidirect
143. C2×C3×C22⋊C4C3×D3semidirect
144. C2×C3×C22⋊C4C2×C32semidirect
146. C2×#217C2×C32semidirect
147. C2×(C2×D3)⋊C4C2×C32semidirect
148. C2×(C2×D3)⋊C4C2×C32semidirect
149. C2×Dic3⋊C4C2×C32semidirect
150. C2×C4×Dic3C2×C32semidirect
215. C2×C32×C4#67semidirect
216. C2×C32×C4C3×D4semidirect
226. C2×C3×Dic3C3×D4semidirect
256. C2×#67C32×C4semidirect
340. C3×Dic3C3×C22⋊C4semidirect
346. C2×C22⋊C4C32×D3semidirect
348. C33#390semidirect
413. C2×C3×C4C3×#67semidirect
414. C2×C3×C4C32×D4semidirect
424. C2×Dic3C32×D4semidirect
534. Dic3C32×C22⋊C4semidirect
536. C32#4957direct (N × H)
537. C32C3×#390semidirect
568. C2×C4C32×#67semidirect
622. C3C3×#4957direct (N × H)
623. C3C32×#390semidirect

Maximal subgroups

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

subgroupindex
C22×C32×#672
C2×C33×C22⋊C42
C2×C32×#2172
C2×C32×(C2×D3)⋊C42
C2×C32×Dic3⋊C42
C2×C32×C4×Dic32
C32×#3903
C3×#49573