Finite Group Databasebeta

← C3×#78688 #11857536

Subgroups — C3×#78688 #11857536

Order 1152.

1705 conjugacy classes of subgroups.

The subgroup lattice has 671 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1004C211yesmaximal, characteristic
2C3×#5486C212yesmaximal, complemented
3C2×C32×#99C211yesmaximal, characteristic, complemented
4C2×C3×#834C211yesmaximal, characteristic, complemented
5C2×C3×#806C212yesmaximal, complemented
6C3×D3×#99C214yesmaximal, complemented
7C3×#4740C214yesmaximal, complemented
8C3×#2883—31nomaximal
9#78688C311yesmaximal, characteristic, direct product factor
10C22×C32×D4C2211yescharacteristic
11C22×C3×#67C412yescomplemented
12C22×C3×#67C2211yescharacteristic
13C22×C3×#67C2211yescharacteristic
14C3×#1004—24no—
15C3×#1004—24no—
16C2×C3×#237C412yescomplemented
17C2×C3×#237C2212yes—
18C2×C3×D3×D4C412yescomplemented
19C2×C3×D3×D4C2212yes—
20C2×C3×#235C412yescomplemented
21C2×C32×C22⋊C4C2212yescomplemented
22C2×C3×#217C2212yescomplemented
23C3×C4×#67—24no—
24C3×#67⋊C4—24no—
25C3×D3×C22⋊C4C2214yescomplemented
26C3×#877C2214yescomplemented
27C32×#99C2214yescomplemented
28C3×#834C2214yescomplemented
29C3×#806C2218yescomplemented
30C2×C3×H(5,𝔽2)—31no—
31C2×#1004C2×C311yescharacteristic
32C3×#518—32no—
33#5486C2×C312yescomplemented
34C3×#410—34no—
35C2×C3×#99—21no—
36C2×C3×#99—31no—
37C2×C3×#99—32no—
38C2×C3×#99—34no—
39C2×C3×#99D311yescharacteristic, complemented
40C2×C3×#99C2×C311yescharacteristic, complemented
41C2×#834C2×C311yescharacteristic, complemented
42C2×#806C2×C312yescomplemented
43D3×#99C2×C314yescomplemented
44#4740C2×C314yescomplemented
45C24×C32C2×C411yescharacteristic, complemented
46C24×C32C2311yescharacteristic
47C23×C3×D3C2×C411yescharacteristic, complemented
48C23×C3×D3C2×C412yescomplemented
49C23×C3×D3C2311yescharacteristic
50C2×C32×D4—22no—
51C2×C32×D4—22no—
52C2×C32×D4C2×C412yescomplemented
53C2×C32×D4C2312yes—
54C22×C32×C4—22no—
55C22×C32×C4C2×C411yescharacteristic, complemented
56C2×C3×#67—22no—
57C2×C3×#67—22no—
58C2×C3×#67—24no—
59C2×C3×#67—24no—
60C2×C3×#67C2×C412yes—
61C2×C3×#67C2×C412yes—
62C2×C3×#67C2×C412yescomplemented
63C2×C3×#67C2×C412yescomplemented
64C2×C3×#67C2×C412yescomplemented
65C2×C3×#67D414yes—
66C2×C3×#67D414yes—
67C2×C3×#67C2312yes—
68C22×C3×Dic3—22no—
69C22×C3×Dic3C2×C411yescharacteristic, complemented
70C22×C3×Dic3C2×C412yescomplemented
71C22×C3×Dic3C2311yescharacteristic
72C3×#237—28no—
73C3×#237—28no—
74C3×D3×D4—28no—
75C3×D3×D4—28no—
76C3×#235—24no—
77C3×#235—24no—
78C2×C3×D12C2×C412yescomplemented
79C2×C3×C4×D3—24no—
80C2×C3×C4×D3C2×C412yescomplemented
81C2×C3×C4×D3C2×C412yescomplemented
82C2×C3×Dic6C2×C412yescomplemented
83C32×C22⋊C4—22no—
84C32×C22⋊C4C2314yes—
85C3×#217—22no—
86C3×#217C2314yes—
87C3×(C2×D3)⋊C4—24no—
88C3×Dic3⋊C4—24no—
89C3×C4×Dic3—24no—
90#2883—31noSylow
91C3×H(5,𝔽2)—64no—
92C3×H(5,𝔽2)—64no—
93C2×C3×#41—32no—
94C2×C3×#41—32no—
95C2×C3×#41—32no—
96C22×C3×D4—21no—
97C22×C3×D4—31no—
98C22×C3×D4—32no—
99C22×C3×D4—31no—
100C22×C3×D4—32no—
101C22×C3×D4—32no—
102C22×C3×D4C2×D311yescharacteristic
103C22×C3×D4C22×C311yescharacteristic
104C22×#67C3×C412yescomplemented
105C22×#67C22×C311yescharacteristic
106C22×#67C22×C311yescharacteristic
107#1004—24no—
108#1004—24no—
109C2×#237C3×C412yescomplemented
110C2×#237C22×C312yes—
111C2×D3×D4C3×C412yescomplemented
112C2×D3×D4C22×C312yes—
113C2×#235C3×C412yescomplemented
114C3×C4×D4—64no—
115C3×C4×D4—64no—
116C3×#117—34no—
117C2×C3×C22⋊C4—22no—
118C2×C3×C22⋊C4—32no—
119C2×C3×C22⋊C4—34no—
120C2×C3×C22⋊C4C2×D312yescomplemented
121C2×C3×C22⋊C4C22×C312yescomplemented
122C2×#217C22×C312yescomplemented
123C4×#67—24no—
124#67⋊C4—24no—
125D3×C22⋊C4C22×C314yescomplemented
126#877C22×C314yescomplemented
127C3×#99—24no—
128C3×#99—34no—
129C3×#99—38no—
130C3×#99C2×D314yescomplemented
131C3×#99C22×C314yescomplemented
132#834C22×C314yescomplemented
133#806C22×C318yescomplemented
134C23×C32—21no—
135C23×C32—21no—
136C23×C32—81no—
137C23×C32—81no—
138C23×C32C22×C412yes—
139C23×C32C22×C411yescharacteristic
140C23×C32C22×C411yescharacteristic
141C23×C32C2×D412yes—
142C23×C32C2×D412yes—
143C23×C32C2411yescharacteristic
144C22×C3×D3—22no—
145C22×C3×D3—24no—
146C22×C3×D3—81no—
147C22×C3×D3—82no—
148C22×C3×D3—81no—
149C22×C3×D3C22×C412yes—
150C22×C3×D3C22×C412yes—
151C22×C3×D3C2×D414yes—
152C32×D4—24no—
153C32×D4—24no—
154C2×C32×C4—21no—
155C2×C32×C4—21no—
156C2×C32×C4—24no—
157C2×C32×C4—82no—
158C2×C32×C4C22×C412yes—
159C3×#67—22no—
160C3×#67—22no—
161C3×#67—24no—
162C3×#67—24no—
163C3×#67—24no—
164C3×#67C22⋊C414yes—
165C3×#67C22⋊C414yes—
166C3×#67C22⋊C418yes—
167C2×C3×Dic3—22no—
168C2×C3×Dic3—24no—
169C2×C3×Dic3—24no—
170C2×C3×Dic3—82no—
171C2×C3×Dic3C22×C412yes—
172C2×C3×Dic3C22×C412yes—
173C2×C3×Dic3C2×D414yes—
174C3×D12—24no—
175C3×C4×D3—24no—
176C3×C4×D3—24no—
177C3×C4×D3—84no—
178C3×Dic6—24no—
179C2×H(5,𝔽2)—31no—
180#518—32no—
181#410—34no—
182C2×#99—31no—
183C2×#99—32no—
184C2×#99—34no—
185C2×#99C3×D311yescharacteristic, complemented
186C24×C3—21no—
187C24×C3—21no—
188C24×C3—31no—
189C24×C3—32no—
190C24×C3—31no—
191C24×C3C4×D311yescharacteristic, complemented
192C24×C3C2×C3×C411yescharacteristic, complemented
193C24×C3C22×D311yescharacteristic
194C24×C3C23×C311yescharacteristic
195C23×D3C2×C3×C411yescharacteristic, complemented
196C23×D3C2×C3×C412yescomplemented
197C23×D3C23×C311yescharacteristic
198C3×#41—64no—
199C3×#41—64no—
200C3×#41—68no—
201C3×#41—68no—
202C2×C3×Q8—32no—
203C2×C3×D4—22no—
204C2×C3×D4—22no—
205C2×C3×D4—22no—
206C2×C3×D4—22no—
207C2×C3×D4—22no—
208C2×C3×D4—22no—
209C2×C3×D4—32no—
210C2×C3×D4—32no—
211C2×C3×D4—34no—
212C2×C3×D4—34no—
213C2×C3×D4—32no—
214C2×C3×D4—32no—
215C2×C3×D4—32no—
216C2×C3×D4—32no—
217C2×C3×D4—32no—
218C2×C3×D4—42no—
219C2×C3×D4—42no—
220C2×C3×D4—68no—
221C2×C3×D4—68no—
222C2×C3×D4—64no—
223C2×C3×D4—64no—
224C2×C3×D4—62no—
225C2×C3×D4—62no—
226C2×C3×D4C4×D312yescomplemented
227C2×C3×D4C2×C3×C412yescomplemented
228C2×C3×D4C22×D312yes—
229C2×C3×D4C23×C312yes—
230C22×C3×C4—22no—
231C22×C3×C4—22no—
232C22×C3×C4—21no—
233C22×C3×C4—31no—
234C22×C3×C4—32no—
235C22×C3×C4—31no—
236C22×C3×C4—32no—
237C22×C3×C4—32no—
238C22×C3×C4—42no—
239C22×C3×C4—64no—
240C22×C3×C4—62no—
241C22×C3×C4C4×D311yescharacteristic, complemented
242C22×C3×C4C2×C3×C411yescharacteristic, complemented
243C2×#67—22no—
244C2×#67—22no—
245C2×#67—24no—
246C2×#67—24no—
247C2×#67C2×C3×C412yes—
248C2×#67C2×C3×C412yes—
249C2×#67C2×C3×C412yescomplemented
250C2×#67C2×C3×C412yescomplemented
251C2×#67C2×C3×C412yescomplemented
252C2×#67C3×D414yes—
253C2×#67C3×D414yes—
254C2×#67C23×C312yes—
255C22×Dic3—22no—
256C22×Dic3C2×C3×C411yescharacteristic, complemented
257C22×Dic3C2×C3×C412yescomplemented
258C22×Dic3C23×C311yescharacteristic
259#237—28no—
260#237—28no—
261D3×D4—28no—
262D3×D4—28no—
263#235—24no—
264#235—24no—
265C2×D12C2×C3×C412yescomplemented
266C2×C4×D3—24no—
267C2×C4×D3C2×C3×C412yescomplemented
268C2×C4×D3C2×C3×C412yescomplemented
269C2×Dic6C2×C3×C412yescomplemented
270C3×C4⋊C4—64no—
271C3×C22⋊C4—22no—
272C3×C22⋊C4—22no—
273C3×C22⋊C4—24no—
274C3×C22⋊C4—34no—
275C3×C22⋊C4—42no—
276C3×C22⋊C4—64no—
277C3×C22⋊C4—62no—
278C3×C22⋊C4C22×D314yes—
279C3×C22⋊C4C23×C314yes—
280C3×C42—64no—
281#217—22no—
282#217C23×C314yes—
283(C2×D3)⋊C4—24no—
284Dic3⋊C4—24no—
285C4×Dic3—24no—
286C22×C32—22no—
287C22×C32—42no—
288C22×C32—41no—
289C22×C32—42no—
290C22×C32—41no—
291C22×C32—41no—
292C22×C32—42no—
293C22×C32—81no—
294C22×C32—81no—
295C22×C32C2×C22⋊C412yes—
296C22×C32C2×C22⋊C411yescharacteristic
297C22×C32C2×C22⋊C411yescharacteristic
298C22×C32C23×C411yescharacteristic
299C22×C32C22×D412yes—
300C2×C3×D3—22no—
301C2×C3×D3—44no—
302C2×C3×D3—42no—
303C2×C3×D3—42no—
304C2×C3×D3—84no—
305C2×C3×D3—82no—
306C2×C3×D3C2×C22⋊C414yes—
307C32×C4—22no—
308C32×C4—44no—
309C3×Dic3—22no—
310C3×Dic3—44no—
311C3×Dic3C2×C22⋊C414yes—
312H(5,𝔽2)—64no—
313H(5,𝔽2)—64no—
314C2×#41—32no—
315C2×#41—32no—
316C2×#41—32no—
317C22×D4—31no—
318C22×D4—32no—
319C22×D4—31no—
320C22×D4—32no—
321C22×D4—32no—
322C22×D4C2×C3×D311yescharacteristic
323C4×D4—64no—
324C4×D4—64no—
325#117—34no—
326C2×C22⋊C4—32no—
327C2×C22⋊C4—34no—
328C2×C22⋊C4C2×C3×D312yescomplemented
329#99—34no—
330#99—38no—
331#99C2×C3×D314yescomplemented
332C23×C3—21no—
333C23×C3—21no—
334C23×C3—21no—
335C23×C3—21no—
336C23×C3—21no—
337C23×C3—21no—
338C23×C3—21no—
339C23×C3—22no—
340C23×C3—22no—
341C23×C3—22no—
342C23×C3—32no—
343C23×C3—34no—
344C23×C3—32no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—64no—
348C23×C3—62no—
349C23×C3—81no—
350C23×C3—81no—
351C23×C3—81no—
352C23×C3—81no—
353C23×C3—82no—
354C23×C3—82no—
355C23×C3—241no—
356C23×C3—241no—
357C23×C3—242no—
358C23×C3C2×C4×D312yes—
359C23×C3C2×C4×D311yescharacteristic
360C23×C3C2×C4×D311yescharacteristic
361C23×C3D3×D412yes—
362C23×C3D3×D412yes—
363C23×C3C22×C3×C412yes—
364C23×C3C22×C3×C411yescharacteristic
365C23×C3C22×C3×C411yescharacteristic
366C23×C3C2×C3×D412yes—
367C23×C3C2×C3×D412yes—
368C23×C3C23×D311yescharacteristic
369C23×C3C24×C311yescharacteristic
370C22×D3—22no—
371C22×D3—24no—
372C22×D3—81no—
373C22×D3—82no—
374C22×D3—81no—
375C22×D3C22×C3×C412yes—
376C22×D3C22×C3×C412yes—
377C22×D3C2×C3×D414yes—
378C3×Q8—64no—
379C3×D4—24no—
380C3×D4—24no—
381C3×D4—24no—
382C3×D4—24no—
383C3×D4—34no—
384C3×D4—34no—
385C3×D4—38no—
386C3×D4—44no—
387C3×D4—44no—
388C3×D4—64no—
389C3×D4—64no—
390C3×D4—64no—
391C3×D4—62no—
392C3×D4—62no—
393C3×D4—64no—
394C2×C3×C4—21no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—24no—
399C2×C3×C4—24no—
400C2×C3×C4—22no—
401C2×C3×C4—32no—
402C2×C3×C4—34no—
403C2×C3×C4—32no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—44no—
407C2×C3×C4—64no—
408C2×C3×C4—64no—
409C2×C3×C4—64no—
410C2×C3×C4—62no—
411C2×C3×C4—64no—
412C2×C3×C4—82no—
413C2×C3×C4—82no—
414C2×C3×C4—84no—
415C2×C3×C4—244no—
416C2×C3×C4—242no—
417C2×C3×C4C2×C4×D312yes—
418C2×C3×C4C22×C3×C412yes—
419#67—22no—
420#67—22no—
421#67—24no—
422#67—24no—
423#67—24no—
424#67C3×C22⋊C414yes—
425#67C3×C22⋊C414yes—
426#67C3×C22⋊C418yes—
427C2×Dic3—22no—
428C2×Dic3—24no—
429C2×Dic3—24no—
430C2×Dic3—82no—
431C2×Dic3C22×C3×C412yes—
432C2×Dic3C22×C3×C412yes—
433C2×Dic3C2×C3×D414yes—
434D12—24no—
435C4×D3—24no—
436C4×D3—24no—
437C4×D3—84no—
438Dic6—24no—
439C2×C32—21no—
440C2×C32—22no—
441C2×C32—21no—
442C2×C32—22no—
443C2×C32—21no—
444C2×C32—42no—
445C2×C32C22×C22⋊C411yescharacteristic
446C3×D3—24no—
447C3×D3—42no—
448C24—31no—
449C24—32no—
450C24—31no—
451C24C3×C4×D311yescharacteristic, complemented
452C24C22×C3×D311yescharacteristic
453#41—64no—
454#41—64no—
455#41—68no—
456#41—68no—
457C2×Q8—32no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—32no—
461C2×D4—32no—
462C2×D4—34no—
463C2×D4—34no—
464C2×D4—32no—
465C2×D4—32no—
466C2×D4—32no—
467C2×D4—32no—
468C2×D4—32no—
469C2×D4—68no—
470C2×D4—68no—
471C2×D4—64no—
472C2×D4—64no—
473C2×D4—62no—
474C2×D4—62no—
475C2×D4C3×C4×D312yescomplemented
476C2×D4C22×C3×D312yes—
477C22×C4—22no—
478C22×C4—31no—
479C22×C4—32no—
480C22×C4—31no—
481C22×C4—32no—
482C22×C4—32no—
483C22×C4—64no—
484C22×C4—62no—
485C22×C4C3×C4×D311yescharacteristic, complemented
486C4⋊C4—64no—
487C22⋊C4—22no—
488C22⋊C4—34no—
489C22⋊C4—64no—
490C22⋊C4—62no—
491C22⋊C4C22×C3×D314yes—
492C42—64no—
493C22×C3—22no—
494C22×C3—22no—
495C22×C3—21no—
496C22×C3—21no—
497C22×C3—22no—
498C22×C3—21no—
499C22×C3—22no—
500C22×C3—34no—
501C22×C3—42no—
502C22×C3—42no—
503C22×C3—42no—
504C22×C3—42no—
505C22×C3—42no—
506C22×C3—41no—
507C22×C3—41no—
508C22×C3—41no—
509C22×C3—41no—
510C22×C3—41no—
511C22×C3—41no—
512C22×C3—42no—
513C22×C3—42no—
514C22×C3—44no—
515C22×C3—42no—
516C22×C3—62no—
517C22×C3—82no—
518C22×C3—81no—
519C22×C3—81no—
520C22×C3—82no—
521C22×C3—81no—
522C22×C3—81no—
523C22×C3—81no—
524C22×C3—81no—
525C22×C3—82no—
526C22×C3—82no—
527C22×C3—124no—
528C22×C3—122no—
529C22×C3—122no—
530C22×C3—242no—
531C22×C3—244no—
532C22×C3D3×C22⋊C411yescharacteristic
533C22×C3D3×C22⋊C411yescharacteristic
534C22×C3D3×C22⋊C412yes—
535C22×C3C2×C3×C22⋊C412yes—
536C22×C3C2×C3×C22⋊C411yescharacteristic
537C22×C3C2×C3×C22⋊C411yescharacteristic
538C22×C3C22×C4×D311yescharacteristic
539C22×C3C2×D3×D412yes—
540C22×C3C23×C3×C411yescharacteristic
541C22×C3C22×C3×D412yes—
542C2×D3—22no—
543C2×D3—44no—
544C2×D3—42no—
545C2×D3—42no—
546C2×D3—84no—
547C2×D3—82no—
548C2×D3C2×C3×C22⋊C414yes—
549C3×C4—22no—
550C3×C4—22no—
551C3×C4—34no—
552C3×C4—42no—
553C3×C4—44no—
554C3×C4—44no—
555C3×C4—62no—
556C3×C4—84no—
557C3×C4—124no—
558Dic3—22no—
559Dic3—44no—
560Dic3C2×C3×C22⋊C414yes—
561C32#288311yescharacteristic, complemented, Sylow
562C23—21no—
563C23—21no—
564C23—32no—
565C23—34no—
566C23—32no—
567C23—64no—
568C23—62no—
569C23—81no—
570C23—81no—
571C23—241no—
572C23—241no—
573C23—242no—
574C23C2×C3×C4×D312yes—
575C23C2×C3×C4×D311yescharacteristic
576C23C2×C3×C4×D311yescharacteristic
577C23C3×D3×D412yes—
578C23C3×D3×D412yes—
579C23C23×C3×D311yescharacteristic
580Q8—64no—
581D4—24no—
582D4—24no—
583D4—34no—
584D4—34no—
585D4—38no—
586D4—64no—
587D4—64no—
588D4—64no—
589D4—62no—
590D4—62no—
591D4—64no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—24no—
595C2×C4—32no—
596C2×C4—34no—
597C2×C4—32no—
598C2×C4—64no—
599C2×C4—64no—
600C2×C4—64no—
601C2×C4—62no—
602C2×C4—64no—
603C2×C4—82no—
604C2×C4—244no—
605C2×C4—242no—
606C2×C4C2×C3×C4×D312yes—
607C2×C3—22no—
608C2×C3—22no—
609C2×C3—21no—
610C2×C3—22no—
611C2×C3—21no—
612C2×C3—21no—
613C2×C3—22no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—22no—
618C2×C3—21no—
619C2×C3—42no—
620C2×C3—41no—
621C2×C3—41no—
622C2×C3—42no—
623C2×C3—42no—
624C2×C3—42no—
625C2×C3—64no—
626C2×C3—82no—
627C2×C3—122no—
628C2×C3C2×D3×C22⋊C411yescharacteristic
629C2×C3C22×C3×C22⋊C411yescharacteristic
630D3—24no—
631D3—42no—
632C22—22no—
633C22—34no—
634C22—42no—
635C22—42no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—42no—
640C22—62no—
641C22—81no—
642C22—81no—
643C22—124no—
644C22—122no—
645C22—122no—
646C22—242no—
647C22—244no—
648C22C3×D3×C22⋊C411yescharacteristic
649C22C3×D3×C22⋊C411yescharacteristic
650C22C3×D3×C22⋊C412yes—
651C22C22×C3×C4×D311yescharacteristic
652C22C2×C3×D3×D412yes—
653C4—22no—
654C4—34no—
655C4—44no—
656C4—62no—
657C4—124no—
658C3—21no—
659C3#7868811yescharacteristic, direct product factor
660C3C3×#288311yescharacteristic, complemented
661C2—22no—
662C2—21no—
663C2—21no—
664C2—21no—
665C2—22no—
666C2—42no—
667C2—64no—
668C2—122no—
669C2C2×C3×D3×C22⋊C411yescharacteristic
subgroupG/H
centerC2×C3C2×D3×C22⋊C4
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC2×C32×#99C2
socleC2×C32C22×C22⋊C4
prime radicalC2×C3×#1004C2
cosocleC23×C3C24×C3
hypercenterC2×C3×#99D3
hypocenterC3C3×#2883
LCSG ▷ C22×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C3 ◁ C24×C3 ◁ C2×C3×#99

Complements

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

NH ≅ G/Ntype
2. C3×#5486C2semidirect
3. C2×C32×#99C2semidirect
4. C2×C3×#834C2semidirect
5. C2×C3×#806C2semidirect
6. C3×D3×#99C2semidirect
7. C3×#4740C2semidirect
9. #78688C3direct (N × H)
11. C22×C3×#67C4semidirect
16. C2×C3×#237C4semidirect
18. C2×C3×D3×D4C4semidirect
20. C2×C3×#235C4semidirect
21. C2×C32×C22⋊C4C22semidirect
22. C2×C3×#217C22semidirect
25. C3×D3×C22⋊C4C22semidirect
26. C3×#877C22semidirect
27. C32×#99C22semidirect
28. C3×#834C22semidirect
29. C3×#806C22semidirect
33. #5486C2×C3semidirect
39. C2×C3×#99D3semidirect
40. C2×C3×#99C2×C3semidirect
41. C2×#834C2×C3semidirect
42. C2×#806C2×C3semidirect
43. D3×#99C2×C3semidirect
44. #4740C2×C3semidirect
45. C24×C32C2×C4semidirect
47. C23×C3×D3C2×C4semidirect
48. C23×C3×D3C2×C4semidirect
52. C2×C32×D4C2×C4semidirect
55. C22×C32×C4C2×C4semidirect
62. C2×C3×#67C2×C4semidirect
63. C2×C3×#67C2×C4semidirect
64. C2×C3×#67C2×C4semidirect
69. C22×C3×Dic3C2×C4semidirect
70. C22×C3×Dic3C2×C4semidirect
78. C2×C3×D12C2×C4semidirect
80. C2×C3×C4×D3C2×C4semidirect
81. C2×C3×C4×D3C2×C4semidirect
82. C2×C3×Dic6C2×C4semidirect
104. C22×#67C3×C4semidirect
109. C2×#237C3×C4semidirect
111. C2×D3×D4C3×C4semidirect
113. C2×#235C3×C4semidirect
120. C2×C3×C22⋊C4C2×D3semidirect
121. C2×C3×C22⋊C4C22×C3semidirect
122. C2×#217C22×C3semidirect
125. D3×C22⋊C4C22×C3semidirect
126. #877C22×C3semidirect
130. C3×#99C2×D3semidirect
131. C3×#99C22×C3semidirect
132. #834C22×C3semidirect
133. #806C22×C3semidirect
185. C2×#99C3×D3semidirect
191. C24×C3C4×D3semidirect
192. C24×C3C2×C3×C4semidirect
195. C23×D3C2×C3×C4semidirect
196. C23×D3C2×C3×C4semidirect
226. C2×C3×D4C4×D3semidirect
227. C2×C3×D4C2×C3×C4semidirect
241. C22×C3×C4C4×D3semidirect
242. C22×C3×C4C2×C3×C4semidirect
249. C2×#67C2×C3×C4semidirect
250. C2×#67C2×C3×C4semidirect
251. C2×#67C2×C3×C4semidirect
256. C22×Dic3C2×C3×C4semidirect
257. C22×Dic3C2×C3×C4semidirect
265. C2×D12C2×C3×C4semidirect
267. C2×C4×D3C2×C3×C4semidirect
268. C2×C4×D3C2×C3×C4semidirect
269. C2×Dic6C2×C3×C4semidirect
328. C2×C22⋊C4C2×C3×D3semidirect
331. #99C2×C3×D3semidirect
451. C24C3×C4×D3semidirect
475. C2×D4C3×C4×D3semidirect
485. C22×C4C3×C4×D3semidirect
561. C32#2883semidirect
659. C3#78688direct (N × H)
660. C3C3×#2883semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#10042
C3×#54862
C2×C32×#992
C2×C3×#8342
C2×C3×#8062
C3×D3×#992
C3×#47402
C3×#28833
#786883