Finite Group Databasebeta

← C3×#78686 #11865343

Subgroups — C3×#78686 #11865343

Order 1152.

1705 conjugacy classes of subgroups.

The subgroup lattice has 715 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1004C211yesmaximal, characteristic, complemented
2C3×#5804C211yesmaximal, characteristic, complemented
3C3×#5493C212yesmaximal, complemented
4C2×C32×#99C211yesmaximal, characteristic, complemented
5C2×C3×#806C212yesmaximal, complemented
6C3×#4742C214yesmaximal, complemented
7C3×#4741C214yesmaximal, complemented
8C3×#3026—31nomaximal
9#78686C311yesmaximal, characteristic, direct product factor
10C22×C32×D4C2211yescharacteristic
11C22×C3×#67—21no—
12C22×C3×#67C2212yes—
13C22×C3×#67C2211yescharacteristic, complemented
14C3×#1004—22no—
15C3×#1004—24no—
16C3×#1004C2214yes—
17C2×C3×#237—22no—
18C2×C3×D3×D4—22no—
19C2×C3×#235—21no—
20C2×C32×C22⋊C4C2212yescomplemented
21C3×#953—21no—
22C2×C3×#217C2211yescharacteristic, complemented
23C3×#939—22no—
24C3×#937C2212yescomplemented
25C3×#935C2212yescomplemented
26C3×#930—24no—
27C3×#929—21no—
28C3×#886—22no—
29C3×#886C2214yescomplemented
30C3×#882—22no—
31C3×#882C2214yescomplemented
32C32×#99C2214yescomplemented
33C3×#806C2218yescomplemented
34C2×C3×H(5,𝔽2)—31no—
35C2×#1004C2×C311yescharacteristic, complemented
36C3×#534—31no—
37C3×#534—32no—
38#5804C2×C311yescharacteristic, complemented
39#5493C2×C312yescomplemented
40C3×#458—34no—
41C3×B(4,𝔽2)—34no—
42C2×C3×#99—21no—
43C2×C3×#99—32no—
44C2×C3×#99D311yescharacteristic, complemented
45C2×C3×#99C2×C311yescharacteristic, complemented
46C2×#806C2×C312yescomplemented
47#4742C2×C314yescomplemented
48#4741C2×C314yescomplemented
49C24×C32D411yescharacteristic, complemented
50C24×C32C2311yescharacteristic
51C23×C3×D3—21no—
52C23×C3×D3D412yescomplemented
53C23×C3×D3C2311yescharacteristic, complemented
54C2×C32×D4—22no—
55C2×C32×D4—22no—
56C2×C32×D4D412yescomplemented
57C2×C32×D4C2312yes—
58C22×C32×C4—22no—
59C22×C32×C4D411yescharacteristic, complemented
60C2×C3×#67—22no—
61C2×C3×#67—24no—
62C2×C3×#67—22no—
63C2×C3×#67—22no—
64C2×C3×#67—22no—
65C2×C3×#67—22no—
66C2×C3×#67—24no—
67C2×C3×#67—22no—
68C2×C3×#67—21no—
69C2×C3×#67—22no—
70C2×C3×#67—21no—
71C2×C3×#67—22no—
72C2×C3×#67D414yescomplemented
73C2×C3×#67C2314yes—
74C22×C3×Dic3—21no—
75C22×C3×Dic3—21no—
76C22×C3×Dic3D412yescomplemented
77C22×C3×Dic3C2311yescharacteristic, complemented
78C3×#237—28no—
79C3×#237—28no—
80C3×D3×D4—28no—
81C3×D3×D4—28no—
82C3×#235—24no—
83C3×#235—24no—
84C2×C3×D12—21no—
85C2×C3×D12—24no—
86C2×C3×C4×D3—22no—
87C2×C3×Dic6—21no—
88C32×C22⋊C4—22no—
89C32×C22⋊C4C2314yescomplemented
90C3×#217—21no—
91C3×#217—22no—
92C3×#217C2312yescomplemented
93C3×(C2×D3)⋊C4—24no—
94C3×(C2×D3)⋊C4—22no—
95C3×(C2×D3)⋊C4—24no—
96C3×C4⋊Dic3—24no—
97C3×Dic3⋊C4—22no—
98#3026—31noSylow
99C3×H(5,𝔽2)—34no—
100C3×H(5,𝔽2)—64no—
101C3×H(5,𝔽2)—62no—
102C2×C3×#41—62no—
103C2×C3×#41—61no—
104C22×C3×D4—21no—
105C22×C3×D4—32no—
106C22×C3×D4—31no—
107C22×C3×D4—62no—
108C22×C3×D4—61no—
109C22×C3×D4C2×D311yescharacteristic
110C22×C3×D4C22×C311yescharacteristic
111C22×#67—21no—
112C22×#67C22×C312yes—
113C22×#67C22×C311yescharacteristic, complemented
114#1004—22no—
115#1004—24no—
116#1004C22×C314yes—
117C2×#237—22no—
118C2×D3×D4—22no—
119C2×#235—21no—
120C3×#123—32no—
121C3×#123—34no—
122C3×#123—62no—
123C3×#123—61no—
124C3×#121—64no—
125C3×#121—62no—
126C3×#120—32no—
127C3×#120—34no—
128C3×#120—62no—
129C3×#120—61no—
130C2×C3×C22⋊C4—22no—
131C2×C3×C22⋊C4—31no—
132C2×C3×C22⋊C4C2×D312yescomplemented
133C2×C3×C22⋊C4C22×C312yescomplemented
134#953—21no—
135C2×#217C22×C311yescharacteristic, complemented
136#939—22no—
137#937C22×C312yescomplemented
138#935C22×C312yescomplemented
139#930—24no—
140#929—21no—
141#886—22no—
142#886C22×C314yescomplemented
143#882—22no—
144#882C22×C314yescomplemented
145C3×#99—24no—
146C3×#99—38no—
147C3×#99C2×D314yescomplemented
148C3×#99C22×C314yescomplemented
149#806C22×C318yescomplemented
150C23×C32—21no—
151C23×C32—21no—
152C23×C32—81no—
153C23×C32—81no—
154C23×C32C2×D412yes—
155C23×C32C2×D411yescharacteristic
156C23×C32C2×D411yescharacteristic
157C23×C32C2×D412yes—
158C23×C32C2×D412yes—
159C23×C32C2411yescharacteristic
160C22×C3×D3—22no—
161C22×C3×D3—24no—
162C22×C3×D3—22no—
163C22×C3×D3—22no—
164C22×C3×D3—21no—
165C22×C3×D3—81no—
166C22×C3×D3—82no—
167C22×C3×D3—82no—
168C22×C3×D3C2×D414yes—
169C32×D4—24no—
170C32×D4—24no—
171C2×C32×C4—21no—
172C2×C32×C4—21no—
173C2×C32×C4—24no—
174C2×C32×C4—82no—
175C2×C32×C4C2×D412yes—
176C3×#67—28no—
177C3×#67—24no—
178C3×#67—24no—
179C3×#67—24no—
180C3×#67—24no—
181C3×#67—41no—
182C3×#67—42no—
183C3×#67—41no—
184C3×#67—82no—
185C2×C3×Dic3—24no—
186C2×C3×Dic3—22no—
187C2×C3×Dic3—22no—
188C2×C3×Dic3—21no—
189C2×C3×Dic3—22no—
190C2×C3×Dic3—22no—
191C2×C3×Dic3—81no—
192C2×C3×Dic3C2×D414yes—
193C3×D12—24no—
194C3×D12—84no—
195C3×C4×D3—28no—
196C3×Dic6—24no—
197C2×H(5,𝔽2)—31no—
198#534—31no—
199#534—32no—
200#458—34no—
201B(4,𝔽2)—34no—
202C2×#99—32no—
203C2×#99C3×D311yescharacteristic, complemented
204C24×C3—21no—
205C24×C3—21no—
206C24×C3—32no—
207C24×C3—31no—
208C24×C3—61no—
209C24×C3D1211yescharacteristic, complemented
210C24×C3C3×D411yescharacteristic, complemented
211C24×C3C22×D311yescharacteristic
212C24×C3C23×C311yescharacteristic
213C23×D3—21no—
214C23×D3C3×D412yescomplemented
215C23×D3C23×C311yescharacteristic, complemented
216C3×#41—64no—
217C3×#41—68no—
218C3×#41—68no—
219C3×#41—64no—
220C2×C3×Q8—61no—
221C2×C3×D4—22no—
222C2×C3×D4—22no—
223C2×C3×D4—22no—
224C2×C3×D4—22no—
225C2×C3×D4—22no—
226C2×C3×D4—22no—
227C2×C3×D4—34no—
228C2×C3×D4—34no—
229C2×C3×D4—42no—
230C2×C3×D4—42no—
231C2×C3×D4—61no—
232C2×C3×D4—64no—
233C2×C3×D4—68no—
234C2×C3×D4—68no—
235C2×C3×D4—62no—
236C2×C3×D4—64no—
237C2×C3×D4—62no—
238C2×C3×D4—62no—
239C2×C3×D4—64no—
240C2×C3×D4—62no—
241C2×C3×D4—62no—
242C2×C3×D4—61no—
243C2×C3×D4—61no—
244C2×C3×D4—62no—
245C2×C3×D4—62no—
246C2×C3×D4—62no—
247C2×C3×D4D1212yescomplemented
248C2×C3×D4C3×D412yescomplemented
249C2×C3×D4C22×D312yes—
250C2×C3×D4C23×C312yes—
251C22×C3×C4—22no—
252C22×C3×C4—22no—
253C22×C3×C4—21no—
254C22×C3×C4—32no—
255C22×C3×C4—31no—
256C22×C3×C4—42no—
257C22×C3×C4—62no—
258C22×C3×C4—61no—
259C22×C3×C4—61no—
260C22×C3×C4D1211yescharacteristic, complemented
261C22×C3×C4C3×D411yescharacteristic, complemented
262C2×#67—22no—
263C2×#67—24no—
264C2×#67—22no—
265C2×#67—22no—
266C2×#67—22no—
267C2×#67—22no—
268C2×#67—24no—
269C2×#67—22no—
270C2×#67—21no—
271C2×#67—22no—
272C2×#67—21no—
273C2×#67—22no—
274C2×#67C3×D414yescomplemented
275C2×#67C23×C314yes—
276C22×Dic3—21no—
277C22×Dic3—21no—
278C22×Dic3C3×D412yescomplemented
279C22×Dic3C23×C311yescharacteristic, complemented
280#237—28no—
281#237—28no—
282D3×D4—28no—
283D3×D4—28no—
284#235—24no—
285#235—24no—
286C2×D12—21no—
287C2×D12—24no—
288C2×C4×D3—22no—
289C2×Dic6—21no—
290C3×C4⋊C4—64no—
291C3×C4⋊C4—62no—
292C3×C22⋊C4—22no—
293C3×C22⋊C4—22no—
294C3×C22⋊C4—24no—
295C3×C22⋊C4—32no—
296C3×C22⋊C4—42no—
297C3×C22⋊C4—64no—
298C3×C22⋊C4—64no—
299C3×C22⋊C4—61no—
300C3×C22⋊C4—62no—
301C3×C22⋊C4—62no—
302C3×C22⋊C4C22×D314yescomplemented
303C3×C22⋊C4C23×C314yescomplemented
304#217—21no—
305#217—22no—
306#217C23×C312yescomplemented
307(C2×D3)⋊C4—24no—
308(C2×D3)⋊C4—22no—
309(C2×D3)⋊C4—24no—
310C4⋊Dic3—24no—
311Dic3⋊C4—22no—
312C22×C32—22no—
313C22×C32—42no—
314C22×C32—41no—
315C22×C32—41no—
316C22×C32—42no—
317C22×C32—41no—
318C22×C32—42no—
319C22×C32—42no—
320C22×C32—81no—
321C22×C32#12011yescharacteristic
322C22×C32#12012yes—
323C22×C32#12011yescharacteristic
324C22×C32C22×D411yescharacteristic
325C22×C32C22×D412yes—
326C2×C3×D3—24no—
327C2×C3×D3—44no—
328C2×C3×D3—44no—
329C2×C3×D3—44no—
330C2×C3×D3—42no—
331C2×C3×D3—41no—
332C2×C3×D3—82no—
333C2×C3×D3—84no—
334C32×C4—22no—
335C32×C4—44no—
336C3×Dic3—24no—
337C3×Dic3—42no—
338C3×Dic3—41no—
339H(5,𝔽2)—34no—
340H(5,𝔽2)—64no—
341H(5,𝔽2)—62no—
342C2×#41—62no—
343C2×#41—61no—
344C22×D4—32no—
345C22×D4—31no—
346C22×D4—62no—
347C22×D4—61no—
348C22×D4C2×C3×D311yescharacteristic
349#123—32no—
350#123—34no—
351#123—62no—
352#123—61no—
353#121—64no—
354#121—62no—
355#120—32no—
356#120—34no—
357#120—62no—
358#120—61no—
359C2×C22⋊C4—31no—
360C2×C22⋊C4C2×C3×D312yescomplemented
361#99—38no—
362#99C2×C3×D314yescomplemented
363C23×C3—21no—
364C23×C3—21no—
365C23×C3—21no—
366C23×C3—21no—
367C23×C3—21no—
368C23×C3—21no—
369C23×C3—21no—
370C23×C3—22no—
371C23×C3—22no—
372C23×C3—22no—
373C23×C3—34no—
374C23×C3—41no—
375C23×C3—41no—
376C23×C3—64no—
377C23×C3—62no—
378C23×C3—62no—
379C23×C3—61no—
380C23×C3—62no—
381C23×C3—81no—
382C23×C3—81no—
383C23×C3—81no—
384C23×C3—81no—
385C23×C3—82no—
386C23×C3—82no—
387C23×C3—241no—
388C23×C3—242no—
389C23×C3—242no—
390C23×C3C2×D1212yes—
391C23×C3C2×D1211yescharacteristic
392C23×C3C2×D1211yescharacteristic
393C23×C3D3×D412yes—
394C23×C3D3×D412yes—
395C23×C3C2×C3×D412yes—
396C23×C3C2×C3×D411yescharacteristic
397C23×C3C2×C3×D411yescharacteristic
398C23×C3C2×C3×D412yes—
399C23×C3C2×C3×D412yes—
400C23×C3C23×D311yescharacteristic
401C23×C3C24×C311yescharacteristic
402C22×D3—22no—
403C22×D3—24no—
404C22×D3—22no—
405C22×D3—22no—
406C22×D3—21no—
407C22×D3—81no—
408C22×D3—82no—
409C22×D3—82no—
410C22×D3C2×C3×D414yes—
411C3×Q8—64no—
412C3×D4—24no—
413C3×D4—24no—
414C3×D4—24no—
415C3×D4—24no—
416C3×D4—44no—
417C3×D4—44no—
418C3×D4—64no—
419C3×D4—68no—
420C3×D4—64no—
421C3×D4—64no—
422C3×D4—64no—
423C3×D4—64no—
424C3×D4—121no—
425C3×D4—121no—
426C3×D4—122no—
427C3×D4—244no—
428C3×D4—242no—
429C2×C3×C4—21no—
430C2×C3×C4—21no—
431C2×C3×C4—21no—
432C2×C3×C4—21no—
433C2×C3×C4—24no—
434C2×C3×C4—24no—
435C2×C3×C4—22no—
436C2×C3×C4—34no—
437C2×C3×C4—41no—
438C2×C3×C4—41no—
439C2×C3×C4—44no—
440C2×C3×C4—68no—
441C2×C3×C4—64no—
442C2×C3×C4—62no—
443C2×C3×C4—62no—
444C2×C3×C4—62no—
445C2×C3×C4—61no—
446C2×C3×C4—62no—
447C2×C3×C4—82no—
448C2×C3×C4—82no—
449C2×C3×C4—84no—
450C2×C3×C4—241no—
451C2×C3×C4C2×D1212yes—
452C2×C3×C4C2×C3×D412yes—
453#67—28no—
454#67—24no—
455#67—24no—
456#67—24no—
457#67—24no—
458#67—41no—
459#67—42no—
460#67—41no—
461#67—82no—
462C2×Dic3—24no—
463C2×Dic3—22no—
464C2×Dic3—22no—
465C2×Dic3—21no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—81no—
469C2×Dic3C2×C3×D414yes—
470D12—24no—
471D12—84no—
472C4×D3—28no—
473Dic6—24no—
474C2×C32—21no—
475C2×C32—21no—
476C2×C32—22no—
477C2×C32—21no—
478C2×C32—22no—
479C2×C32—42no—
480C2×C32C2×#12011yescharacteristic
481C3×D3—44no—
482C3×D3—81no—
483C24—32no—
484C24—31no—
485C24—61no—
486C24C3×D1211yescharacteristic, complemented
487C24C22×C3×D311yescharacteristic
488#41—64no—
489#41—68no—
490#41—68no—
491#41—64no—
492C2×Q8—61no—
493C2×D4—22no—
494C2×D4—22no—
495C2×D4—34no—
496C2×D4—34no—
497C2×D4—61no—
498C2×D4—64no—
499C2×D4—68no—
500C2×D4—68no—
501C2×D4—62no—
502C2×D4—64no—
503C2×D4—62no—
504C2×D4—62no—
505C2×D4—64no—
506C2×D4—62no—
507C2×D4—62no—
508C2×D4—61no—
509C2×D4—61no—
510C2×D4—62no—
511C2×D4—62no—
512C2×D4—62no—
513C2×D4C3×D1212yescomplemented
514C2×D4C22×C3×D312yes—
515C22×C4—22no—
516C22×C4—32no—
517C22×C4—31no—
518C22×C4—62no—
519C22×C4—61no—
520C22×C4—61no—
521C22×C4C3×D1211yescharacteristic, complemented
522C4⋊C4—64no—
523C4⋊C4—62no—
524C22⋊C4—22no—
525C22⋊C4—32no—
526C22⋊C4—64no—
527C22⋊C4—64no—
528C22⋊C4—61no—
529C22⋊C4—62no—
530C22⋊C4—62no—
531C22⋊C4C22×C3×D314yescomplemented
532C22×C3—22no—
533C22×C3—22no—
534C22×C3—21no—
535C22×C3—21no—
536C22×C3—22no—
537C22×C3—21no—
538C22×C3—22no—
539C22×C3—42no—
540C22×C3—41no—
541C22×C3—42no—
542C22×C3—42no—
543C22×C3—41no—
544C22×C3—42no—
545C22×C3—41no—
546C22×C3—41no—
547C22×C3—41no—
548C22×C3—42no—
549C22×C3—41no—
550C22×C3—42no—
551C22×C3—42no—
552C22×C3—44no—
553C22×C3—42no—
554C22×C3—42no—
555C22×C3—42no—
556C22×C3—64no—
557C22×C3—81no—
558C22×C3—81no—
559C22×C3—82no—
560C22×C3—82no—
561C22×C3—82no—
562C22×C3—81no—
563C22×C3—81no—
564C22×C3—82no—
565C22×C3—124no—
566C22×C3—124no—
567C22×C3—124no—
568C22×C3—122no—
569C22×C3—121no—
570C22×C3—242no—
571C22×C3—244no—
572C22×C3#88211yescharacteristic
573C22×C3#88211yescharacteristic
574C22×C3#88212yes—
575C22×C3C3×#12011yescharacteristic
576C22×C3C3×#12012yes—
577C22×C3C3×#12011yescharacteristic
578C22×C3C22×D1211yescharacteristic
579C22×C3C2×D3×D412yes—
580C22×C3C22×C3×D411yescharacteristic
581C22×C3C22×C3×D412yes—
582C2×D3—24no—
583C2×D3—44no—
584C2×D3—44no—
585C2×D3—44no—
586C2×D3—42no—
587C2×D3—41no—
588C2×D3—82no—
589C2×D3—84no—
590C3×C4—22no—
591C3×C4—22no—
592C3×C4—42no—
593C3×C4—44no—
594C3×C4—44no—
595C3×C4—64no—
596C3×C4—84no—
597C3×C4—122no—
598C3×C4—121no—
599Dic3—24no—
600Dic3—42no—
601Dic3—41no—
602C32#302611yescharacteristic, complemented, Sylow
603C23—21no—
604C23—21no—
605C23—34no—
606C23—64no—
607C23—62no—
608C23—62no—
609C23—61no—
610C23—62no—
611C23—81no—
612C23—81no—
613C23—241no—
614C23—242no—
615C23—242no—
616C23C2×C3×D1212yes—
617C23C2×C3×D1211yescharacteristic
618C23C2×C3×D1211yescharacteristic
619C23C3×D3×D412yes—
620C23C3×D3×D412yes—
621C23C23×C3×D311yescharacteristic
622Q8—64no—
623D4—24no—
624D4—24no—
625D4—64no—
626D4—68no—
627D4—64no—
628D4—64no—
629D4—64no—
630D4—64no—
631D4—121no—
632D4—121no—
633D4—122no—
634D4—244no—
635D4—242no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—24no—
639C2×C4—34no—
640C2×C4—68no—
641C2×C4—64no—
642C2×C4—62no—
643C2×C4—62no—
644C2×C4—62no—
645C2×C4—61no—
646C2×C4—62no—
647C2×C4—82no—
648C2×C4—241no—
649C2×C4C2×C3×D1212yes—
650C2×C3—22no—
651C2×C3—22no—
652C2×C3—21no—
653C2×C3—21no—
654C2×C3—21no—
655C2×C3—22no—
656C2×C3—21no—
657C2×C3—22no—
658C2×C3—21no—
659C2×C3—22no—
660C2×C3—21no—
661C2×C3—21no—
662C2×C3—42no—
663C2×C3—41no—
664C2×C3—41no—
665C2×C3—42no—
666C2×C3—42no—
667C2×C3—42no—
668C2×C3—82no—
669C2×C3—124no—
670C2×C3—241no—
671C2×C3C2×#88211yescharacteristic
672C2×C3C2×C3×#12011yescharacteristic
673D3—44no—
674D3—81no—
675C22—22no—
676C22—42no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—64no—
684C22—81no—
685C22—124no—
686C22—124no—
687C22—124no—
688C22—122no—
689C22—121no—
690C22—242no—
691C22—244no—
692C22C3×#88211yescharacteristic
693C22C3×#88211yescharacteristic
694C22C3×#88212yes—
695C22C22×C3×D1211yescharacteristic
696C22C2×C3×D3×D412yes—
697C4—22no—
698C4—44no—
699C4—64no—
700C4—122no—
701C4—121no—
702C3—21no—
703C3#7868611yescharacteristic, direct product factor
704C3C3×#302611yescharacteristic, complemented
705C2—22no—
706C2—21no—
707C2—21no—
708C2—21no—
709C2—22no—
710C2—42no—
711C2—124no—
712C2—241no—
713C2C2×C3×#88211yescharacteristic
subgroupG/H
centerC2×C3C2×#882
commutator, cosocleC23×C3C24×C3
FrattiniC23C23×C3×D3
FittingC2×C32×#99C2
socleC2×C32C2×#120
hypercenterC2×C3×#99D3
hypocenterC3C3×#3026
LCSG ▷ C23×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
1. C2×C3×#1004C2semidirect
2. C3×#5804C2semidirect
3. C3×#5493C2semidirect
4. C2×C32×#99C2semidirect
5. C2×C3×#806C2semidirect
6. C3×#4742C2semidirect
7. C3×#4741C2semidirect
9. #78686C3direct (N × H)
13. C22×C3×#67C22semidirect
20. C2×C32×C22⋊C4C22semidirect
22. C2×C3×#217C22semidirect
24. C3×#937C22semidirect
25. C3×#935C22semidirect
29. C3×#886C22semidirect
31. C3×#882C22semidirect
32. C32×#99C22semidirect
33. C3×#806C22semidirect
35. C2×#1004C2×C3semidirect
38. #5804C2×C3semidirect
39. #5493C2×C3semidirect
44. C2×C3×#99D3semidirect
45. C2×C3×#99C2×C3semidirect
46. C2×#806C2×C3semidirect
47. #4742C2×C3semidirect
48. #4741C2×C3semidirect
49. C24×C32D4semidirect
52. C23×C3×D3D4semidirect
53. C23×C3×D3C23semidirect
56. C2×C32×D4D4semidirect
59. C22×C32×C4D4semidirect
72. C2×C3×#67D4semidirect
76. C22×C3×Dic3D4semidirect
77. C22×C3×Dic3C23semidirect
89. C32×C22⋊C4C23semidirect
92. C3×#217C23semidirect
113. C22×#67C22×C3semidirect
132. C2×C3×C22⋊C4C2×D3semidirect
133. C2×C3×C22⋊C4C22×C3semidirect
135. C2×#217C22×C3semidirect
137. #937C22×C3semidirect
138. #935C22×C3semidirect
142. #886C22×C3semidirect
144. #882C22×C3semidirect
147. C3×#99C2×D3semidirect
148. C3×#99C22×C3semidirect
149. #806C22×C3semidirect
203. C2×#99C3×D3semidirect
209. C24×C3D12semidirect
210. C24×C3C3×D4semidirect
214. C23×D3C3×D4semidirect
215. C23×D3C23×C3semidirect
247. C2×C3×D4D12semidirect
248. C2×C3×D4C3×D4semidirect
260. C22×C3×C4D12semidirect
261. C22×C3×C4C3×D4semidirect
274. C2×#67C3×D4semidirect
278. C22×Dic3C3×D4semidirect
279. C22×Dic3C23×C3semidirect
302. C3×C22⋊C4C22×D3semidirect
303. C3×C22⋊C4C23×C3semidirect
306. #217C23×C3semidirect
360. C2×C22⋊C4C2×C3×D3semidirect
362. #99C2×C3×D3semidirect
486. C24C3×D12semidirect
513. C2×D4C3×D12semidirect
521. C22×C4C3×D12semidirect
531. C22⋊C4C22×C3×D3semidirect
602. C32#3026semidirect
703. C3#78686direct (N × H)
704. C3C3×#3026semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#10042
C3×#58042
C3×#54932
C2×C32×#992
C2×C3×#8062
C3×#47422
C3×#47412
C3×#30263
#786863