Finite Group Databasebeta

← C3×#78790 #11858048

Subgroups — C3×#78790 #11858048

Order 1152.

1533 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1007C211yesmaximal, characteristic
2C2×C3×#901C211yesmaximal, characteristic, complemented
3C3×#5504C211yesmaximal, characteristic, complemented
4C2×C32×#103C211yesmaximal, characteristic, complemented
5C3×#5225C211yesmaximal, characteristic, complemented
6C3×#5113C211yesmaximal, characteristic, complemented
7C3×#4966C211yesmaximal, characteristic, complemented
8C3×#4804C212yesmaximal, complemented
9C3×#4803C212yesmaximal, complemented
10C3×#4802C212yesmaximal, complemented
11C3×D3×#103C212yesmaximal, complemented
12C3×#2898—31nomaximal
13#78790C311yesmaximal, characteristic, direct product factor
14C22×C32×Q8C2211yescharacteristic
15C3×#1007—24no—
16C3×#1007C418yescomplemented
17C2×C3×#239—21no—
18C2×C3×#239C2212yes—
19C2×C3×D3×Q8—21no—
20C2×C3×D3×Q8C2212yes—
21C2×C3×#235—22no—
22C2×C3×#235C2211yescharacteristic
23C2×C3×#235C2211yescharacteristic
24C22×C32×C8C2211yescharacteristic
25C2×C32×C4⋊C4C2211yescharacteristic
26C3×C4×#67—22no—
27C3×#926C2211yescharacteristic
28C2×C3×#208C2211yescharacteristic
29C3×#901—24no—
30C2×C3×ΓL(1,𝔽25)C2212yes—
31C2×C3×D3×C8C2212yes—
32C3×#893—21no—
33C3×#892C2212yes—
34C3×D3×C4⋊C4C2212yes—
35C3×#887—21no—
36C32×#103C2212yes—
37C32×#103C2212yes—
38C3×#835C2212yes—
39C3×#835C2212yes—
40C3×#821C2211yescharacteristic
41C3×#821C2211yescharacteristic
42C3×#816C2211yescharacteristic
43C3×#816C2211yescharacteristic
44C3×#810C2212yes—
45C3×#809C2212yes—
46C2×C3×2−1+4—31no—
47C2×#1007C2×C311yescharacteristic
48C2×C3×#131—31no—
49C3×#520—31no—
50C2×#901C2×C311yescharacteristic, complemented
51#5504C2×C311yescharacteristic, complemented
52C3×#419—31no—
53C3×#419—32no—
54C3×#417—31no—
55C3×#417—32no—
56C3×#416—31no—
57C3×#416—32no—
58C2×C3×#103—21no—
59C2×C3×#103—32no—
60C2×C3×#103D311yescharacteristic, complemented
61C2×C3×#103C2×C311yescharacteristic, complemented
62#5225C2×C311yescharacteristic, complemented
63#5113C2×C311yescharacteristic, complemented
64#4966C2×C311yescharacteristic, complemented
65#4804C2×C312yescomplemented
66#4803C2×C312yescomplemented
67#4802C2×C312yescomplemented
68D3×#103C2×C312yescomplemented
69C2×C32×Q8—21no—
70C2×C32×Q8—22no—
71C2×C32×Q8C2×C414yescomplemented
72C2×C32×Q8C2312yes—
73C22×C32×C4—21no—
74C22×C32×C4—21no—
75C22×C32×C4C2311yescharacteristic
76C2×C3×#67—21no—
77C2×C3×#67D412yes—
78C3×#239—28no—
79C3×#239—24no—
80C3×#239C2×C418yescomplemented
81C3×D3×Q8—24no—
82C3×D3×Q8—28no—
83C3×D3×Q8C2×C418yescomplemented
84C3×#235—22no—
85C3×#235—216no—
86C3×#235C2×C414yes—
87C3×#235C2×C414yescomplemented
88C3×#235D414yes—
89C2×C3×D12—22no—
90C2×C3×D12D411yescharacteristic
91C2×C3×D12C2311yescharacteristic
92C2×C3×C4×D3—22no—
93C2×C3×C4×D3—21no—
94C2×C3×C4×D3—22no—
95C2×C3×C4×D3—22no—
96C2×C3×C4×D3C2312yes—
97C2×C3×Dic6—22no—
98C2×C3×Dic6D411yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×C32×C8—22no—
101C2×C32×C8C2311yescharacteristic
102C2×C32×C8C2311yescharacteristic
103C32×C4⋊C4—21no—
104C32×C4⋊C4C2312yes—
105C3×#217—21no—
106C3×(C2×D3)⋊C4—22no—
107C3×C4⋊Dic3C2311yescharacteristic
108C3×C4⋊Dic3C2311yescharacteristic
109C3×Dic3⋊C4—22no—
110C3×C4×Dic3—21no—
111C3×C4×Dic3—22no—
112C3×#208—22no—
113C2×C3×C3⋊C8C2312yes—
114C3×ΓL(1,𝔽25)—24no—
115C3×D3×C8—24no—
116#2898—31noSylow
117C3×2−1+4—38no—
118C3×2−1+4—64no—
119C2×C3×#41—31no—
120C2×C3×#41—32no—
121C2×C3×#41—31no—
122C2×C3×#41—62no—
123C2×C3×#41—61no—
124C22×C3×Q8—21no—
125C22×C3×Q8—32no—
126C22×C3×Q8—61no—
127C22×C3×Q8C2×D311yescharacteristic
128C22×C3×Q8C22×C311yescharacteristic
129#1007—24no—
130#1007C3×C418yescomplemented
131C2×#239—21no—
132C2×#239C22×C312yes—
133C2×D3×Q8—21no—
134C2×D3×Q8C22×C312yes—
135C2×#235—22no—
136C2×#235C22×C311yescharacteristic
137C2×#235C22×C311yescharacteristic
138C3×#131—64no—
139C2×C3×M16—31no—
140C2×C3×M16—32no—
141C22×C3×C8—21no—
142C22×C3×C8—32no—
143C22×C3×C8C2×D311yescharacteristic
144C22×C3×C8C22×C311yescharacteristic
145C3×C4×Q8—61no—
146C3×C4×D4—61no—
147C3×C4×D4—62no—
148C3×#117—31no—
149C3×#117—32no—
150C2×C3×C4⋊C4—21no—
151C2×C3×C4⋊C4—32no—
152C2×C3×C4⋊C4C2×D311yescharacteristic
153C2×C3×C4⋊C4C22×C311yescharacteristic
154C4×#67—22no—
155#926C22×C311yescharacteristic
156C2×#208C22×C311yescharacteristic
157#901—24no—
158C2×ΓL(1,𝔽25)C22×C312yes—
159C2×D3×C8C22×C312yes—
160#893—21no—
161#892C22×C312yes—
162D3×C4⋊C4C22×C312yes—
163#887—21no—
164C3×#103—22no—
165C3×#103—22no—
166C3×#103—32no—
167C3×#103—32no—
168C3×#103—31no—
169C3×#103—31no—
170C3×#103—32no—
171C3×#103C2×D312yes—
172C3×#103C2×D312yes—
173C3×#103C22×C312yes—
174C3×#103C22×C312yes—
175C3×#102—31no—
176C3×#102—31no—
177C3×#102—32no—
178#835C22×C312yes—
179#835C22×C312yes—
180#821C22×C311yescharacteristic
181#821C22×C311yescharacteristic
182#816C22×C311yescharacteristic
183#816C22×C311yescharacteristic
184#810C22×C312yes—
185#809C22×C312yes—
186C23×C32C2×D411yescharacteristic
187C22×C3×D3—21no—
188C22×C3×D3C2×D412yes—
189C32×Q8—24no—
190C32×Q8—22no—
191C32×Q8C22×C414yes—
192C2×C32×C4—24no—
193C2×C32×C4—22no—
194C2×C32×C4—22no—
195C2×C32×C4—81no—
196C2×C32×C4C22×C412yes—
197C2×C32×C4C2×D411yescharacteristic
198C2×C32×C4C2×D412yes—
199C2×C32×C4C2411yescharacteristic
200C3×#67—24no—
201C3×#67C22⋊C418yes—
202C2×C3×Dic3—21no—
203C2×C3×Dic3—21no—
204C2×C3×Dic3—21no—
205C2×C3×Dic3C2×D412yes—
206C3×D12—28no—
207C3×D12—21no—
208C3×D12C22⋊C414yes—
209C3×D12C22×C412yes—
210C3×C4×D3—28no—
211C3×C4×D3—24no—
212C3×C4×D3—28no—
213C3×C4×D3—82no—
214C3×C4×D3C22×C414yes—
215C3×C4×D3C2×D414yes—
216C3×Dic6—21no—
217C3×Dic6—28no—
218C3×Dic6C22⋊C414yes—
219C3×Dic6C22×C412yes—
220C32×C8—21no—
221C32×C8—21no—
222C3×C3⋊C8—22no—
223C2×2−1+4—31no—
224C2×#131—31no—
225#520—31no—
226#419—31no—
227#419—32no—
228#417—31no—
229#417—32no—
230#416—31no—
231#416—32no—
232C2×#103—32no—
233C2×#103C3×D311yescharacteristic, complemented
234C3×#41—34no—
235C3×#41—34no—
236C3×#41—38no—
237C3×#41—34no—
238C3×#41—616no—
239C3×#41—64no—
240C3×#41—68no—
241C3×#41—62no—
242C2×C3×Q8—21no—
243C2×C3×Q8—22no—
244C2×C3×Q8—21no—
245C2×C3×Q8—22no—
246C2×C3×Q8—24no—
247C2×C3×Q8—22no—
248C2×C3×Q8—31no—
249C2×C3×Q8—38no—
250C2×C3×Q8—31no—
251C2×C3×Q8—41no—
252C2×C3×Q8—42no—
253C2×C3×Q8—62no—
254C2×C3×Q8—64no—
255C2×C3×Q8—68no—
256C2×C3×Q8C4×D314yescomplemented
257C2×C3×Q8C2×C3×C414yescomplemented
258C2×C3×Q8C22×D312yes—
259C2×C3×Q8C23×C312yes—
260C2×C3×D4—32no—
261C2×C3×D4—31no—
262C2×C3×D4—31no—
263C2×C3×D4—62no—
264C2×C3×D4—61no—
265C22×C3×C4—21no—
266C22×C3×C4—21no—
267C22×C3×C4—21no—
268C22×C3×C4—21no—
269C22×C3×C4—21no—
270C22×C3×C4—32no—
271C22×C3×C4—41no—
272C22×C3×C4—41no—
273C22×C3×C4—62no—
274C22×C3×C4—62no—
275C22×C3×C4—62no—
276C22×C3×C4—61no—
277C22×C3×C4C22×D311yescharacteristic
278C22×C3×C4C23×C311yescharacteristic
279C2×#67—21no—
280C2×#67C3×D412yes—
281#239—28no—
282#239—24no—
283#239C2×C3×C418yescomplemented
284D3×Q8—24no—
285D3×Q8—28no—
286D3×Q8C2×C3×C418yescomplemented
287#235—22no—
288#235—216no—
289#235C2×C3×C414yes—
290#235C2×C3×C414yescomplemented
291#235C3×D414yes—
292C2×D12—22no—
293C2×D12C3×D411yescharacteristic
294C2×D12C23×C311yescharacteristic
295C2×C4×D3—22no—
296C2×C4×D3—21no—
297C2×C4×D3—22no—
298C2×C4×D3—22no—
299C2×C4×D3C23×C312yes—
300C2×Dic6—22no—
301C2×Dic6C3×D411yescharacteristic
302C2×Dic6C23×C311yescharacteristic
303C3×M16—64no—
304C3×M16—62no—
305C2×C3×C8—22no—
306C2×C3×C8—22no—
307C2×C3×C8—21no—
308C2×C3×C8—21no—
309C2×C3×C8—32no—
310C2×C3×C8—42no—
311C2×C3×C8—64no—
312C2×C3×C8C22×D311yescharacteristic
313C2×C3×C8C22×D311yescharacteristic
314C2×C3×C8C23×C311yescharacteristic
315C2×C3×C8C23×C311yescharacteristic
316C3×C4⋊C4—21no—
317C3×C4⋊C4—21no—
318C3×C4⋊C4—22no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—41no—
322C3×C4⋊C4—62no—
323C3×C4⋊C4C22×D312yes—
324C3×C4⋊C4C23×C312yes—
325C3×C22⋊C4—62no—
326C3×C22⋊C4—61no—
327C3×C42—62no—
328C3×C42—61no—
329#217—21no—
330(C2×D3)⋊C4—22no—
331C4⋊Dic3C23×C311yescharacteristic
332C4⋊Dic3C23×C311yescharacteristic
333Dic3⋊C4—22no—
334C4×Dic3—21no—
335C4×Dic3—22no—
336#208—22no—
337C2×C3⋊C8C23×C312yes—
338ΓL(1,𝔽25)—24no—
339D3×C8—24no—
340C22×C32—21no—
341C22×C32—21no—
342C22×C32C2×C22⋊C412yes—
343C22×C32C22×D411yescharacteristic
344C2×C3×D3—22no—
345C2×C3×D3—22no—
346C2×C3×D3—22no—
347C2×C3×D3—41no—
348C2×C3×D3—41no—
349C2×C3×D3C2×C22⋊C414yes—
350C32×C4—24no—
351C32×C4—42no—
352C32×C4C2×C22⋊C412yes—
353C32×C4C23×C411yescharacteristic
354C32×C4C22×D411yescharacteristic
355C3×Dic3—22no—
356C3×Dic3—41no—
357C3×Dic3—41no—
358C3×Dic3C2×C22⋊C414yes—
3592−1+4—38no—
3602−1+4—64no—
361C2×#41—31no—
362C2×#41—32no—
363C2×#41—31no—
364C2×#41—62no—
365C2×#41—61no—
366C22×Q8—32no—
367C22×Q8—61no—
368C22×Q8C2×C3×D311yescharacteristic
369#131—64no—
370C2×M16—31no—
371C2×M16—32no—
372C22×C8—32no—
373C22×C8C2×C3×D311yescharacteristic
374C4×Q8—61no—
375C4×D4—61no—
376C4×D4—62no—
377#117—31no—
378#117—32no—
379C2×C4⋊C4—32no—
380C2×C4⋊C4C2×C3×D311yescharacteristic
381#103—32no—
382#103—32no—
383#103—31no—
384#103—31no—
385#103—32no—
386#103C2×C3×D312yes—
387#103C2×C3×D312yes—
388#102—31no—
389#102—31no—
390#102—32no—
391C23×C3—21no—
392C23×C3—32no—
393C23×C3—61no—
394C23×C3D3×D411yescharacteristic
395C23×C3C2×C3×D411yescharacteristic
396C22×D3—21no—
397C22×D3C2×C3×D412yes—
398C3×Q8—24no—
399C3×Q8—24no—
400C3×Q8—22no—
401C3×Q8—22no—
402C3×Q8—24no—
403C3×Q8—34no—
404C3×Q8—32no—
405C3×Q8—44no—
406C3×Q8—42no—
407C3×Q8—68no—
408C3×Q8—61no—
409C3×Q8C2×C4×D314yes—
410C3×Q8C22×C3×C414yes—
411C3×D4—38no—
412C3×D4—34no—
413C3×D4—32no—
414C3×D4—68no—
415C3×D4—64no—
416C3×D4—61no—
417C2×C3×C4—24no—
418C2×C3×C4—24no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—21no—
424C2×C3×C4—22no—
425C2×C3×C4—21no—
426C2×C3×C4—22no—
427C2×C3×C4—32no—
428C2×C3×C4—34no—
429C2×C3×C4—34no—
430C2×C3×C4—44no—
431C2×C3×C4—42no—
432C2×C3×C4—42no—
433C2×C3×C4—68no—
434C2×C3×C4—68no—
435C2×C3×C4—61no—
436C2×C3×C4—64no—
437C2×C3×C4—61no—
438C2×C3×C4—61no—
439C2×C3×C4—81no—
440C2×C3×C4—81no—
441C2×C3×C4—82no—
442C2×C3×C4—242no—
443C2×C3×C4C2×C4×D312yes—
444C2×C3×C4D3×D411yescharacteristic
445C2×C3×C4D3×D412yes—
446C2×C3×C4C22×C3×C412yes—
447C2×C3×C4C2×C3×D411yescharacteristic
448C2×C3×C4C2×C3×D412yes—
449C2×C3×C4C23×D311yescharacteristic
450C2×C3×C4C24×C311yescharacteristic
451#67—24no—
452#67C3×C22⋊C418yes—
453C2×Dic3—21no—
454C2×Dic3—21no—
455C2×Dic3—21no—
456C2×Dic3C2×C3×D412yes—
457D12—28no—
458D12—21no—
459D12C3×C22⋊C414yes—
460D12C22×C3×C412yes—
461C4×D3—28no—
462C4×D3—24no—
463C4×D3—28no—
464C4×D3—82no—
465C4×D3C22×C3×C414yes—
466C4×D3C2×C3×D414yes—
467Dic6—21no—
468Dic6—28no—
469Dic6C3×C22⋊C414yes—
470Dic6C22×C3×C412yes—
471C3×C8—21no—
472C3×C8—21no—
473C3×C8—21no—
474C3×C8—21no—
475C3×C8—41no—
476C3×C8—41no—
477C3×C8—62no—
478C3⋊C8—22no—
479C2×C32—22no—
480C2×C32C22×C22⋊C411yescharacteristic
481C2×C32#57711yescharacteristic
482C2×C32#57811yescharacteristic
483C3×D3—24no—
484C3×D3—42no—
485#41—34no—
486#41—34no—
487#41—38no—
488#41—34no—
489#41—616no—
490#41—64no—
491#41—68no—
492#41—62no—
493C2×Q8—21no—
494C2×Q8—22no—
495C2×Q8—31no—
496C2×Q8—38no—
497C2×Q8—31no—
498C2×Q8—62no—
499C2×Q8—64no—
500C2×Q8—68no—
501C2×Q8C3×C4×D314yescomplemented
502C2×Q8C22×C3×D312yes—
503C2×D4—32no—
504C2×D4—31no—
505C2×D4—31no—
506C2×D4—62no—
507C2×D4—61no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—32no—
511C22×C4—62no—
512C22×C4—62no—
513C22×C4—62no—
514C22×C4—61no—
515C22×C4C22×C3×D311yescharacteristic
516M16—64no—
517M16—62no—
518C2×C8—22no—
519C2×C8—32no—
520C2×C8—64no—
521C2×C8C22×C3×D311yescharacteristic
522C2×C8C22×C3×D311yescharacteristic
523C4⋊C4—21no—
524C4⋊C4—31no—
525C4⋊C4—31no—
526C4⋊C4—62no—
527C4⋊C4C22×C3×D312yes—
528C22⋊C4—62no—
529C22⋊C4—61no—
530C42—62no—
531C42—61no—
532C22×C3—22no—
533C22×C3—22no—
534C22×C3—21no—
535C22×C3—21no—
536C22×C3—21no—
537C22×C3—21no—
538C22×C3—22no—
539C22×C3—21no—
540C22×C3—34no—
541C22×C3—62no—
542C22×C3—62no—
543C22×C3—62no—
544C22×C3—121no—
545C22×C3—121no—
546C22×C3D3×C22⋊C412yes—
547C22×C3C2×C3×C22⋊C412yes—
548C22×C3C2×D3×D411yescharacteristic
549C22×C3C22×C3×D411yescharacteristic
550C2×D3—22no—
551C2×D3—22no—
552C2×D3—22no—
553C2×D3—41no—
554C2×D3—41no—
555C2×D3C2×C3×C22⋊C414yes—
556C3×C4—24no—
557C3×C4—24no—
558C3×C4—22no—
559C3×C4—21no—
560C3×C4—21no—
561C3×C4—34no—
562C3×C4—44no—
563C3×C4—42no—
564C3×C4—42no—
565C3×C4—62no—
566C3×C4—82no—
567C3×C4—121no—
568C3×C4—121no—
569C3×C4D3×C22⋊C412yes—
570C3×C4C2×C3×C22⋊C412yes—
571C3×C4C22×C4×D311yescharacteristic
572C3×C4C2×D3×D411yescharacteristic
573C3×C4C23×C3×C411yescharacteristic
574C3×C4C22×C3×D411yescharacteristic
575Dic3—22no—
576Dic3—41no—
577Dic3—41no—
578Dic3C2×C3×C22⋊C414yes—
579C32#289811yescharacteristic, complemented, Sylow
580C23—32no—
581C23—61no—
582C23C3×D3×D411yescharacteristic
583Q8—24no—
584Q8—22no—
585Q8—34no—
586Q8—32no—
587Q8—68no—
588Q8—61no—
589Q8C2×C3×C4×D314yes—
590D4—38no—
591D4—34no—
592D4—32no—
593D4—68no—
594D4—64no—
595D4—61no—
596C2×C4—24no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—32no—
600C2×C4—34no—
601C2×C4—34no—
602C2×C4—68no—
603C2×C4—68no—
604C2×C4—61no—
605C2×C4—64no—
606C2×C4—61no—
607C2×C4—61no—
608C2×C4—81no—
609C2×C4—242no—
610C2×C4C2×C3×C4×D312yes—
611C2×C4C3×D3×D411yescharacteristic
612C2×C4C3×D3×D412yes—
613C2×C4C23×C3×D311yescharacteristic
614C8—21no—
615C8—21no—
616C8—62no—
617C2×C3—24no—
618C2×C3—22no—
619C2×C3—22no—
620C2×C3—21no—
621C2×C3—21no—
622C2×C3—21no—
623C2×C3—64no—
624C2×C3—122no—
625C2×C3C2×D3×C22⋊C411yescharacteristic
626C2×C3#576211yescharacteristic
627C2×C3#576611yescharacteristic
628C2×C3C22×C3×C22⋊C411yescharacteristic
629C2×C3C3×#57711yescharacteristic
630C2×C3C3×#57811yescharacteristic
631D3—24no—
632D3—42no—
633C22—21no—
634C22—21no—
635C22—34no—
636C22—62no—
637C22—62no—
638C22—62no—
639C22—121no—
640C22—121no—
641C22C3×D3×C22⋊C412yes—
642C22C2×C3×D3×D411yescharacteristic
643C4—24no—
644C4—34no—
645C4—42no—
646C4—62no—
647C4—121no—
648C4—121no—
649C4C3×D3×C22⋊C412yes—
650C4C22×C3×C4×D311yescharacteristic
651C4C2×C3×D3×D411yescharacteristic
652C3—21no—
653C3#7879011yescharacteristic, direct product factor
654C3C3×#289811yescharacteristic, complemented
655C2—22no—
656C2—64no—
657C2—122no—
658C2C2×C3×D3×C22⋊C411yescharacteristic
659C2C3×#576211yescharacteristic
660C2C3×#576611yescharacteristic
subgroupG/H
centerC22×C3C2×D3×D4
commutatorC3×C4C23×C3×C4
FrattiniC2×C4C23×C3×D3
FittingC2×C32×#103C2
socleC22×C32C22×D4
prime radicalC2×C3×#1007C2
cosocleC2×C3×C4C24×C3
hypercenterC2×C3×#103D3
hypocenterC3C3×#2898
LCSG ▷ C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C2×C3×#103

Complements

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

NH ≅ G/Ntype
2. C2×C3×#901C2semidirect
3. C3×#5504C2semidirect
4. C2×C32×#103C2semidirect
5. C3×#5225C2semidirect
6. C3×#5113C2semidirect
7. C3×#4966C2semidirect
8. C3×#4804C2semidirect
9. C3×#4803C2semidirect
10. C3×#4802C2semidirect
11. C3×D3×#103C2semidirect
13. #78790C3direct (N × H)
16. C3×#1007C4semidirect
50. C2×#901C2×C3semidirect
51. #5504C2×C3semidirect
60. C2×C3×#103D3semidirect
61. C2×C3×#103C2×C3semidirect
62. #5225C2×C3semidirect
63. #5113C2×C3semidirect
64. #4966C2×C3semidirect
65. #4804C2×C3semidirect
66. #4803C2×C3semidirect
67. #4802C2×C3semidirect
68. D3×#103C2×C3semidirect
71. C2×C32×Q8C2×C4semidirect
80. C3×#239C2×C4semidirect
83. C3×D3×Q8C2×C4semidirect
87. C3×#235C2×C4semidirect
130. #1007C3×C4semidirect
233. C2×#103C3×D3semidirect
256. C2×C3×Q8C4×D3semidirect
257. C2×C3×Q8C2×C3×C4semidirect
283. #239C2×C3×C4semidirect
286. D3×Q8C2×C3×C4semidirect
290. #235C2×C3×C4semidirect
501. C2×Q8C3×C4×D3semidirect
579. C32#2898semidirect
653. C3#78790direct (N × H)
654. C3C3×#2898semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#10072
C2×C3×#9012
C3×#55042
C2×C32×#1032
C3×#52252
C3×#51132
C3×#49662
C3×#48042
C3×#48032
C3×#48022
C3×D3×#1032
C3×#28983
#787903