Finite Group Databasebeta

← C3×#84113 #11864411

Subgroups — C3×#84113 #11864411

Order 1152.

1861 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×2−1+4C211yesmaximal, characteristic, complemented
2C3×#5830C211yesmaximal, characteristic, complemented
3C2×C3×#949C211yesmaximal, characteristic, complemented
4C22×C3×#215C211yesmaximal, characteristic, complemented
5C3×#5238C214yesmaximal, complemented
6C3×#5234C211yesmaximal, characteristic, complemented
7C3×#5233C211yesmaximal, characteristic, complemented
8C3×#5227C214yesmaximal, complemented
9C3×#5225C211yesmaximal, characteristic, complemented
10C3×#3010—31nomaximal
11#84113C311yesmaximal, characteristic, direct product factor
12C32×2−1+4—24no—
13C32×2−1+4—24no—
14C2×C32×#41—22no—
15C2×C32×#41—21no—
16C2×C32×#41C2211yescharacteristic
17C2×C32×#41C2211yescharacteristic
18C2×C32×#41C2212yescomplemented
19C22×C32×Q8—21no—
20C22×C32×Q8C2211yescharacteristic
21C22×C32×Q8C2212yescomplemented
22C22×C3×D12C2211yescharacteristic
23C3×#949—24no—
24C3×#947—21no—
25C2×C3×#215—24no—
26C2×C3×#215C2214yes—
27C2×C3×#215C2212yes—
28C3×#940—21no—
29C3×#937—22no—
30C2×C3×#213C2212yes—
31C3×#930C2214yes—
32C3×#926C2211yescharacteristic
33C2×C3×#208C2211yescharacteristic
34C22×C3×C3⋊C8C2211yescharacteristic
35C3×#835C2214yescomplemented
36C3×#835C2212yescomplemented
37C3×#832C2212yescomplemented
38C3×#830C2214yescomplemented
39C2×C3×2−1+4—21no—
40C2×C3×2−1+4D311yescharacteristic, complemented
41C2×C3×2−1+4C2×C311yescharacteristic, complemented
42C2×C3×AGL(1,ℤ/8)—31no—
43C22×C3×SD16—31no—
44C3×#535—31no—
45#5830C2×C311yescharacteristic, complemented
46C2×#949C2×C311yescharacteristic, complemented
47C22×#215C2×C311yescharacteristic, complemented
48C3×#449—34no—
49C3×#448—34no—
50C3×#419—31no—
51C3×#416—31no—
52C3×#408—31no—
53#5238C2×C314yescomplemented
54#5234C2×C311yescharacteristic, complemented
55#5233C2×C311yescharacteristic, complemented
56#5227C2×C314yescomplemented
57#5225C2×C311yescharacteristic, complemented
58C23×C3×D3—21no—
59C32×#41—216no—
60C32×#41—28no—
61C32×#41—24no—
62C32×#41—24no—
63C32×#41—22no—
64C32×#41—22no—
65C32×#41—22no—
66C32×#41D414yescomplemented
67C2×C32×Q8—28no—
68C2×C32×Q8—24no—
69C2×C32×Q8—24no—
70C2×C32×Q8—21no—
71C2×C32×Q8—22no—
72C2×C32×Q8—22no—
73C2×C32×Q8D411yescharacteristic
74C2×C32×Q8D414yescomplemented
75C2×C32×Q8C2312yes—
76C2×C32×Q8C2311yescharacteristic
77C2×C32×D4—21no—
78C2×C32×D4—22no—
79C2×C32×D4D412yes—
80C2×C32×D4D411yescharacteristic
81C2×C32×D4C2311yescharacteristic
82C22×C32×C4—21no—
83C22×C32×C4—22no—
84C22×C32×C4—21no—
85C22×C32×C4—22no—
86C22×C32×C4C2312yes—
87C22×C32×C4C2311yescharacteristic
88C2×C3×#67—24no—
89C2×C3×D12—22no—
90C2×C3×D12—22no—
91C2×C3×D12—21no—
92C2×C3×D12C2312yes—
93C3×#217—21no—
94C3×#215—28no—
95C3×#215—24no—
96C3×#213—24no—
97C3×(C2×D3)⋊C4—24no—
98C3×C4⋊Dic3C2312yes—
99C3×C4×Dic3—21no—
100C3×#208—22no—
101C2×C3×C3⋊C8—22no—
102C2×C3×C3⋊C8C2312yes—
103C2×C3×C3⋊C8C2312yes—
104#3010—31noSylow
105C3×2−1+4—28no—
106C3×2−1+4—28no—
107C3×2−1+4—24no—
108C3×2−1+4—24no—
109C3×2−1+4—24no—
110C3×2−1+4—24no—
111C2×C3×#41—24no—
112C2×C3×#41—22no—
113C2×C3×#41—22no—
114C2×C3×#41—21no—
115C2×C3×#41—22no—
116C2×C3×#41—21no—
117C2×C3×#41—21no—
118C2×C3×#41—21no—
119C2×C3×#41—22no—
120C2×C3×#41C2×D311yescharacteristic
121C2×C3×#41C2×D311yescharacteristic
122C2×C3×#41C2×D312yescomplemented
123C2×C3×#41C22×C311yescharacteristic
124C2×C3×#41C22×C311yescharacteristic
125C2×C3×#41C22×C312yescomplemented
126C22×C3×Q8—22no—
127C22×C3×Q8—21no—
128C22×C3×Q8—21no—
129C22×C3×Q8—21no—
130C22×C3×Q8—22no—
131C22×C3×Q8C2×D311yescharacteristic
132C22×C3×Q8C2×D312yescomplemented
133C22×C3×Q8C22×C311yescharacteristic
134C22×C3×Q8C22×C312yescomplemented
135C22×C3×D4—31no—
136C22×D12C22×C311yescharacteristic
137C3×AGL(1,ℤ/8)—64no—
138C2×C3×SD16—34no—
139C2×C3×SD16—32no—
140C2×C3×SD16—64no—
141C2×C3×D8—32no—
142C2×C3×M16—31no—
143C22×C3×C8—31no—
144C3×#127—61no—
145C3×#124—61no—
146C3×#121—34no—
147C3×#120—62no—
148C3×#117—31no—
149#949—24no—
150#947—21no—
151C2×#215—24no—
152C2×#215C22×C312yes—
153C2×#215C22×C314yes—
154#940—21no—
155#937—22no—
156C2×#213C22×C312yes—
157#930C22×C314yes—
158#926C22×C311yescharacteristic
159C2×#208C22×C311yescharacteristic
160C22×C3⋊C8C22×C311yescharacteristic
161C3×#103—32no—
162C3×#103—34no—
163C3×#102—32no—
164C3×C22⋊C8—34no—
165#835C22×C314yescomplemented
166#835C22×C312yescomplemented
167#832C22×C312yescomplemented
168#830C22×C314yescomplemented
169C23×C32—21no—
170C23×C32C2×D412yes—
171C23×C32C2×D411yescharacteristic
172C22×C3×D3—22no—
173C22×C3×D3—42no—
174C22×C3×D3—82no—
175C32×Q8—28no—
176C32×Q8—22no—
177C32×Q8—24no—
178C32×Q8—21no—
179C32×Q8—22no—
180C32×Q8C2×D412yes—
181C32×Q8C2×D414yes—
182C32×D4—28no—
183C32×D4—24no—
184C32×D4—24no—
185C32×D4—22no—
186C32×D4—21no—
187C32×D4C2×D412yes—
188C2×C32×C4—28no—
189C2×C32×C4—28no—
190C2×C32×C4—24no—
191C2×C32×C4—22no—
192C2×C32×C4—21no—
193C2×C32×C4—24no—
194C2×C32×C4—22no—
195C2×C32×C4—22no—
196C2×C32×C4C2×D412yes—
197C2×C32×C4C2×D411yescharacteristic
198C2×C32×C4C2×D412yes—
199C2×C32×C4C2×D412yes—
200C2×C32×C4C2411yescharacteristic
201C3×#67—84no—
202C2×C3×Dic3—22no—
203C3×D12—22no—
204C3×D12—22no—
205C3×D12—42no—
206C3×C3⋊C8—22no—
207C3×C3⋊C8—22no—
208C2×2−1+4C3×D311yescharacteristic, complemented
209C2×AGL(1,ℤ/8)—31no—
210C22×SD16—31no—
211#535—31no—
212#449—34no—
213#448—34no—
214#419—31no—
215#416—31no—
216#408—31no—
217C24×C3—61no—
218C23×D3—21no—
219C3×#41—232no—
220C3×#41—216no—
221C3×#41—216no—
222C3×#41—216no—
223C3×#41—28no—
224C3×#41—28no—
225C3×#41—28no—
226C3×#41—28no—
227C3×#41—24no—
228C3×#41—24no—
229C3×#41—24no—
230C3×#41—24no—
231C3×#41—24no—
232C3×#41—24no—
233C3×#41—24no—
234C3×#41—22no—
235C3×#41—22no—
236C3×#41—22no—
237C3×#41—22no—
238C3×#41—22no—
239C3×#41—22no—
240C3×#41—24no—
241C3×#41#6714yescomplemented
242C3×#41C3×D414yescomplemented
243C2×C3×Q8—22no—
244C2×C3×Q8—24no—
245C2×C3×Q8—216no—
246C2×C3×Q8—28no—
247C2×C3×Q8—28no—
248C2×C3×Q8—28no—
249C2×C3×Q8—28no—
250C2×C3×Q8—24no—
251C2×C3×Q8—24no—
252C2×C3×Q8—24no—
253C2×C3×Q8—24no—
254C2×C3×Q8—24no—
255C2×C3×Q8—21no—
256C2×C3×Q8—22no—
257C2×C3×Q8—22no—
258C2×C3×Q8—21no—
259C2×C3×Q8—22no—
260C2×C3×Q8—22no—
261C2×C3×Q8—21no—
262C2×C3×Q8—24no—
263C2×C3×Q8—22no—
264C2×C3×Q8—21no—
265C2×C3×Q8#6711yescharacteristic
266C2×C3×Q8#6714yescomplemented
267C2×C3×Q8C3×D411yescharacteristic
268C2×C3×Q8C3×D414yescomplemented
269C2×C3×Q8C22×D312yes—
270C2×C3×Q8C22×D311yescharacteristic
271C2×C3×Q8C23×C312yes—
272C2×C3×Q8C23×C311yescharacteristic
273C2×C3×D4—22no—
274C2×C3×D4—24no—
275C2×C3×D4—21no—
276C2×C3×D4—22no—
277C2×C3×D4—21no—
278C2×C3×D4—22no—
279C2×C3×D4—22no—
280C2×C3×D4—21no—
281C2×C3×D4—21no—
282C2×C3×D4—32no—
283C2×C3×D4—64no—
284C2×C3×D4—62no—
285C2×C3×D4—62no—
286C2×C3×D4—61no—
287C2×C3×D4#6712yes—
288C2×C3×D4#6711yescharacteristic
289C2×C3×D4C3×D412yes—
290C2×C3×D4C3×D411yescharacteristic
291C2×C3×D4C22×D311yescharacteristic
292C2×C3×D4C23×C311yescharacteristic
293C22×C3×C4—22no—
294C22×C3×C4—24no—
295C22×C3×C4—22no—
296C22×C3×C4—24no—
297C22×C3×C4—21no—
298C22×C3×C4—22no—
299C22×C3×C4—21no—
300C22×C3×C4—22no—
301C22×C3×C4—21no—
302C22×C3×C4—22no—
303C22×C3×C4—21no—
304C22×C3×C4—22no—
305C22×C3×C4—22no—
306C22×C3×C4—21no—
307C22×C3×C4C22×D312yes—
308C22×C3×C4C22×D311yescharacteristic
309C22×C3×C4C23×C312yes—
310C22×C3×C4C23×C311yescharacteristic
311C2×#67—24no—
312C2×D12—22no—
313C2×D12—22no—
314C2×D12—21no—
315C2×D12C23×C312yes—
316C3×SD16—68no—
317C3×SD16—64no—
318C3×D8—64no—
319C3×M16—62no—
320C2×C3×C8—32no—
321C2×C3×C8—32no—
322C2×C3×C8—62no—
323C3×C4⋊C4—32no—
324C3×C22⋊C4—61no—
325C3×C22⋊C4—64no—
326C3×C42—61no—
327#217—21no—
328#215—28no—
329#215—24no—
330#213—24no—
331(C2×D3)⋊C4—24no—
332C4⋊Dic3C23×C312yes—
333C4×Dic3—21no—
334#208—22no—
335C2×C3⋊C8—22no—
336C2×C3⋊C8C23×C312yes—
337C2×C3⋊C8C23×C312yes—
338C22×C32—22no—
339C22×C32—22no—
340C22×C32—22no—
341C22×C32—24no—
342C22×C32—42no—
343C22×C32#12012yes—
344C22×C32C22×D411yescharacteristic
345C2×C3×D3—42no—
346C2×C3×D3—44no—
347C2×C3×D3—84no—
348C32×C4—24no—
349C32×C4—22no—
350C32×C4—22no—
351C32×C4#12012yes—
352C32×C4C22×D411yescharacteristic
353C32×C4C22×D411yescharacteristic
354C3×Dic3—42no—
3552−1+4—24no—
3562−1+4—24no—
357C2×#41—22no—
358C2×#41—21no—
359C2×#41C2×C3×D311yescharacteristic
360C2×#41C2×C3×D311yescharacteristic
361C2×#41C2×C3×D312yescomplemented
362C22×Q8—21no—
363C22×Q8C2×C3×D311yescharacteristic
364C22×Q8C2×C3×D312yescomplemented
365C22×D4—31no—
366AGL(1,ℤ/8)—64no—
367C2×SD16—34no—
368C2×SD16—32no—
369C2×SD16—64no—
370C2×D8—32no—
371C2×M16—31no—
372C22×C8—31no—
373#127—61no—
374#124—61no—
375#121—34no—
376#120—62no—
377#117—31no—
378#103—32no—
379#103—34no—
380#102—32no—
381C22⋊C8—34no—
382C23×C3—22no—
383C23×C3—21no—
384C23×C3—21no—
385C23×C3—22no—
386C23×C3—21no—
387C23×C3—62no—
388C23×C3—122no—
389C23×C3—242no—
390C23×C3C2×#6712yes—
391C23×C3C2×#6711yescharacteristic
392C23×C3C2×C3×D412yes—
393C23×C3C2×C3×D411yescharacteristic
394C22×D3—22no—
395C22×D3—42no—
396C22×D3—82no—
397C3×Q8—216no—
398C3×Q8—28no—
399C3×Q8—28no—
400C3×Q8—24no—
401C3×Q8—28no—
402C3×Q8—22no—
403C3×Q8—24no—
404C3×Q8—22no—
405C3×Q8—24no—
406C3×Q8—22no—
407C3×Q8—24no—
408C3×Q8—21no—
409C3×Q8—22no—
410C3×Q8—21no—
411C3×Q8—22no—
412C3×Q8—22no—
413C3×Q8—24no—
414C3×Q8C2×#6712yes—
415C3×Q8C2×#6714yes—
416C3×Q8C2×C3×D412yes—
417C3×Q8C2×C3×D414yes—
418C3×D4—216no—
419C3×D4—28no—
420C3×D4—28no—
421C3×D4—28no—
422C3×D4—28no—
423C3×D4—24no—
424C3×D4—22no—
425C3×D4—24no—
426C3×D4—24no—
427C3×D4—24no—
428C3×D4—24no—
429C3×D4—22no—
430C3×D4—22no—
431C3×D4—21no—
432C3×D4—21no—
433C3×D4—22no—
434C3×D4—62no—
435C3×D4—62no—
436C3×D4—122no—
437C3×D4—244no—
438C3×D4C2×#6712yes—
439C3×D4C2×C3×D412yes—
440C2×C3×C4—24no—
441C2×C3×C4—22no—
442C2×C3×C4—216no—
443C2×C3×C4—216no—
444C2×C3×C4—28no—
445C2×C3×C4—28no—
446C2×C3×C4—28no—
447C2×C3×C4—28no—
448C2×C3×C4—28no—
449C2×C3×C4—28no—
450C2×C3×C4—24no—
451C2×C3×C4—24no—
452C2×C3×C4—24no—
453C2×C3×C4—24no—
454C2×C3×C4—22no—
455C2×C3×C4—21no—
456C2×C3×C4—22no—
457C2×C3×C4—21no—
458C2×C3×C4—24no—
459C2×C3×C4—24no—
460C2×C3×C4—22no—
461C2×C3×C4—22no—
462C2×C3×C4—22no—
463C2×C3×C4—22no—
464C2×C3×C4—21no—
465C2×C3×C4—22no—
466C2×C3×C4—21no—
467C2×C3×C4—22no—
468C2×C3×C4—22no—
469C2×C3×C4—62no—
470C2×C3×C4C2×#6712yes—
471C2×C3×C4C2×#6711yescharacteristic
472C2×C3×C4C2×#6712yes—
473C2×C3×C4C2×#6712yes—
474C2×C3×C4C2×C3×D412yes—
475C2×C3×C4C2×C3×D411yescharacteristic
476C2×C3×C4C2×C3×D412yes—
477C2×C3×C4C2×C3×D412yes—
478C2×C3×C4C23×D311yescharacteristic
479C2×C3×C4C24×C311yescharacteristic
480#67—84no—
481C2×Dic3—22no—
482D12—22no—
483D12—22no—
484D12—42no—
485C3×C8—62no—
486C3×C8—62no—
487C3⋊C8—22no—
488C3⋊C8—22no—
489C2×C32—22no—
490C2×C32—42no—
491C2×C32—42no—
492C2×C32C2×#12011yescharacteristic
493C2×C32#57712yes—
494C3×D3—82no—
495C24—61no—
496#41—216no—
497#41—28no—
498#41—24no—
499#41—24no—
500#41—22no—
501#41—22no—
502#41—22no—
503#41C3×#6714yescomplemented
504C2×Q8—28no—
505C2×Q8—24no—
506C2×Q8—24no—
507C2×Q8—21no—
508C2×Q8—22no—
509C2×Q8—22no—
510C2×Q8C3×#6711yescharacteristic
511C2×Q8C3×#6714yescomplemented
512C2×Q8C22×C3×D312yes—
513C2×Q8C22×C3×D311yescharacteristic
514C2×D4—21no—
515C2×D4—22no—
516C2×D4—32no—
517C2×D4—64no—
518C2×D4—62no—
519C2×D4—62no—
520C2×D4—61no—
521C2×D4C3×#6712yes—
522C2×D4C3×#6711yescharacteristic
523C2×D4C22×C3×D311yescharacteristic
524C22×C4—21no—
525C22×C4—22no—
526C22×C4—21no—
527C22×C4—22no—
528C22×C4C22×C3×D312yes—
529C22×C4C22×C3×D311yescharacteristic
530SD16—68no—
531SD16—64no—
532D8—64no—
533M16—62no—
534C2×C8—32no—
535C2×C8—32no—
536C2×C8—62no—
537C4⋊C4—32no—
538C22⋊C4—61no—
539C22⋊C4—64no—
540C42—61no—
541C22×C3—22no—
542C22×C3—22no—
543C22×C3—24no—
544C22×C3—24no—
545C22×C3—24no—
546C22×C3—24no—
547C22×C3—22no—
548C22×C3—22no—
549C22×C3—22no—
550C22×C3—22no—
551C22×C3—22no—
552C22×C3—21no—
553C22×C3—42no—
554C22×C3—44no—
555C22×C3—44no—
556C22×C3—42no—
557C22×C3—42no—
558C22×C3—124no—
559C22×C3—122no—
560C22×C3—244no—
561C22×C3#95312yes—
562C22×C3C3×#12012yes—
563C22×C3C22×#6711yescharacteristic
564C22×C3C22×C3×D411yescharacteristic
565C2×D3—44no—
566C2×D3—42no—
567C2×D3—84no—
568C3×C4—28no—
569C3×C4—24no—
570C3×C4—24no—
571C3×C4—24no—
572C3×C4—22no—
573C3×C4—22no—
574C3×C4—24no—
575C3×C4—22no—
576C3×C4—22no—
577C3×C4—22no—
578C3×C4—21no—
579C3×C4—21no—
580C3×C4—122no—
581C3×C4#95312yes—
582C3×C4C3×#12012yes—
583C3×C4C22×#6711yescharacteristic
584C3×C4C22×#6711yescharacteristic
585C3×C4C22×C3×D411yescharacteristic
586C3×C4C22×C3×D411yescharacteristic
587Dic3—42no—
588C32#301011yescharacteristic, complemented, Sylow
589C23—21no—
590C23—62no—
591C23—122no—
592C23—242no—
593C23C2×C3×#6712yes—
594C23C2×C3×#6711yescharacteristic
595Q8—28no—
596Q8—22no—
597Q8—24no—
598Q8—21no—
599Q8—22no—
600Q8C2×C3×#6712yes—
601Q8C2×C3×#6714yes—
602D4—28no—
603D4—24no—
604D4—24no—
605D4—22no—
606D4—21no—
607D4—62no—
608D4—62no—
609D4—122no—
610D4—244no—
611D4C2×C3×#6712yes—
612C2×C4—28no—
613C2×C4—28no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—62no—
621C2×C4C2×C3×#6712yes—
622C2×C4C2×C3×#6711yescharacteristic
623C2×C4C2×C3×#6712yes—
624C2×C4C2×C3×#6712yes—
625C2×C4C23×C3×D311yescharacteristic
626C8—62no—
627C8—62no—
628C2×C3—22no—
629C2×C3—22no—
630C2×C3—22no—
631C2×C3—21no—
632C2×C3—42no—
633C2×C3—44no—
634C2×C3—44no—
635C2×C3—42no—
636C2×C3—42no—
637C2×C3—42no—
638C2×C3—42no—
639C2×C3—242no—
640C2×C3#583712yes—
641C2×C3C2×#95311yescharacteristic
642C2×C3C2×C3×#12011yescharacteristic
643C2×C3C3×#57712yes—
644D3—82no—
645C22—22no—
646C22—24no—
647C22—22no—
648C22—22no—
649C22—42no—
650C22—124no—
651C22—122no—
652C22—244no—
653C22C3×#95312yes—
654C22C22×C3×#6711yescharacteristic
655C4—24no—
656C4—22no—
657C4—22no—
658C4—122no—
659C4C3×#95312yes—
660C4C22×C3×#6711yescharacteristic
661C4C22×C3×#6711yescharacteristic
662C3—21no—
663C3#8411311yescharacteristic, direct product factor
664C3C3×#301011yescharacteristic, complemented
665C2—22no—
666C2—42no—
667C2—42no—
668C2—242no—
669C2C3×#583712yes—
670C2C2×C3×#95311yescharacteristic
subgroupG/H
centerC22×C3C22×#67
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC2×C32×2−1+4C2
socleC22×C32C22×D4
hypercenterC2×C3×2−1+4D3
hypocenterC3C3×#3010
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C2×C3×#41 ◁ C2×C3×2−1+4

Complements

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

NH ≅ G/Ntype
1. C2×C32×2−1+4C2semidirect
2. C3×#5830C2semidirect
3. C2×C3×#949C2semidirect
4. C22×C3×#215C2semidirect
5. C3×#5238C2semidirect
6. C3×#5234C2semidirect
7. C3×#5233C2semidirect
8. C3×#5227C2semidirect
9. C3×#5225C2semidirect
11. #84113C3direct (N × H)
18. C2×C32×#41C22semidirect
21. C22×C32×Q8C22semidirect
35. C3×#835C22semidirect
36. C3×#835C22semidirect
37. C3×#832C22semidirect
38. C3×#830C22semidirect
40. C2×C3×2−1+4D3semidirect
41. C2×C3×2−1+4C2×C3semidirect
45. #5830C2×C3semidirect
46. C2×#949C2×C3semidirect
47. C22×#215C2×C3semidirect
53. #5238C2×C3semidirect
54. #5234C2×C3semidirect
55. #5233C2×C3semidirect
56. #5227C2×C3semidirect
57. #5225C2×C3semidirect
66. C32×#41D4semidirect
74. C2×C32×Q8D4semidirect
122. C2×C3×#41C2×D3semidirect
125. C2×C3×#41C22×C3semidirect
132. C22×C3×Q8C2×D3semidirect
134. C22×C3×Q8C22×C3semidirect
165. #835C22×C3semidirect
166. #835C22×C3semidirect
167. #832C22×C3semidirect
168. #830C22×C3semidirect
208. C2×2−1+4C3×D3semidirect
241. C3×#41#67semidirect
242. C3×#41C3×D4semidirect
266. C2×C3×Q8#67semidirect
268. C2×C3×Q8C3×D4semidirect
361. C2×#41C2×C3×D3semidirect
364. C22×Q8C2×C3×D3semidirect
503. #41C3×#67semidirect
511. C2×Q8C3×#67semidirect
588. C32#3010semidirect
663. C3#84113direct (N × H)
664. C3C3×#3010semidirect

Maximal subgroups

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

subgroupindex
C2×C32×2−1+42
C3×#58302
C2×C3×#9492
C22×C3×#2152
C3×#52382
C3×#52342
C3×#52332
C3×#52272
C3×#52252
C3×#30103
#841133