Finite Group Databasebeta

← C3×#80948 #11870424

Subgroups — C3×#80948 #11870424

Order 1152.

1038 conjugacy classes of subgroups.

The subgroup lattice has 661 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5725C211yesmaximal, characteristic, complemented
2C3×C4×D3×D4C211yesmaximal, characteristic, complemented
3C32×#474C211yesmaximal, characteristic, complemented
4C3×#5087C211yesmaximal, characteristic, complemented
5C3×#5015C211yesmaximal, characteristic, complemented
6C3×#4882C212yesmaximal, complemented
7C3×#4872C212yesmaximal, complemented
8C3×#4843C211yesmaximal, characteristic, complemented
9C3×#4833C211yesmaximal, characteristic, complemented
10C3×#4773C212yesmaximal, complemented
11C3×#4756C212yesmaximal, complemented
12C3×#3100—31nomaximal
13#80948C311yesmaximal, characteristic, direct product factor
14C2×C3×#239—21no—
15C2×C3×D3×D4C2211yescharacteristic
16C22×C3×C4×D3—21no—
17C32×C4⋊Q8C2211yescharacteristic, complemented
18C32×C4×D4C2211yescharacteristic
19C3×#947—21no—
20C3×D4×Dic3C2211yescharacteristic
21C2×C3×#213C2212yes—
22C3×C4×#67—21no—
23C2×C3×D24C2212yes—
24C3×#895—21no—
25C3×#895C2212yes—
26C3×#893—21no—
27C3×#893C2211yescharacteristic
28C3×#893C2212yescomplemented
29C3×D3×C4⋊C4C2211yescharacteristic
30C3×#67⋊C4—21no—
31C3×D3×C22⋊C4—21no—
32C3×#874C2211yescharacteristic, complemented
33C3×C4×D12C2211yescharacteristic
34C3×C42×D3C2211yescharacteristic
35C32×#107C2212yescomplemented
36C32×C4⋊C8C2211yescharacteristic, complemented
37C32×#102C2212yes—
38C3×#821C2212yescomplemented
39C3×(C2×D3)⋊C8C2212yes—
40C3×C8×Dic3C2212yescomplemented
41C3×#809C2212yes—
42C3×#809C2212yescomplemented
43C3×#807C2212yescomplemented
44C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
45C3×#532—31no—
46C2×C3×C4×D4—31no—
47#5725C2×C311yescharacteristic, complemented
48C4×D3×D4C2×C311yescharacteristic, complemented
49C3×#480—32no—
50C3×#474—21no—
51C3×#474—31no—
52C3×#474D311yescharacteristic, complemented
53C3×#474C2×C311yescharacteristic, complemented
54C3×#459—31no—
55C3×#459—31no—
56C3×#447—32no—
57C3×C4×D8—32no—
58C3×C4×D8—32no—
59C3×#431—31no—
60#5087C2×C311yescharacteristic, complemented
61#5015C2×C311yescharacteristic, complemented
62#4882C2×C312yescomplemented
63#4872C2×C312yescomplemented
64#4843C2×C311yescharacteristic, complemented
65#4833C2×C311yescharacteristic, complemented
66#4773C2×C312yescomplemented
67#4756C2×C312yescomplemented
68C23×C3×D3—21no—
69C2×C32×Q8—21no—
70C2×C32×D4C2311yescharacteristic
71C22×C32×C4—21no—
72C2×C3×#67—21no—
73C22×C3×Dic3—21no—
74C3×#239—44no—
75C3×D3×D4—22no—
76C3×D3×D4—22no—
77C2×C3×D12—22no—
78C2×C3×D12—21no—
79C2×C3×D12—21no—
80C2×C3×D12C2312yes—
81C2×C3×D12C2311yescharacteristic
82C2×C3×C4×D3—21no—
83C2×C3×C4×D3—21no—
84C2×C3×C4×D3—21no—
85C2×C3×C4×D3—22no—
86C2×C3×C4×D3—44no—
87C2×C3×C4×D3D411yescharacteristic
88C2×C3×C4×D3D411yescharacteristic
89C2×C3×C4×D3C2311yescharacteristic
90C2×C32×C8C2312yes—
91C32×C4⋊C4—21no—
92C32×C4⋊C4C2311yescharacteristic
93C32×C4⋊C4C2312yes—
94C32×C22⋊C4—21no—
95C32×C42C2311yescharacteristic
96C3×#217—21no—
97C3×#213—24no—
98C3×(C2×D3)⋊C4—21no—
99C3×(C2×D3)⋊C4—21no—
100C3×(C2×D3)⋊C4—22no—
101C3×(C2×D3)⋊C4—22no—
102C3×C4⋊Dic3C2311yescharacteristic
103C3×Dic3⋊C4—21no—
104C3×C4×Dic3D411yescharacteristic
105C3×C4×Dic3D411yescharacteristic
106C3×C4×Dic3C2311yescharacteristic
107C2×C3×C3⋊C8C2312yes—
108C3×D24—24no—
109#3100—31noSylow
110C2×C3×#41—61no—
111C22×C3×D4—31no—
112C23×C3×C4—61no—
113C2×#239—21no—
114C2×D3×D4C22×C311yescharacteristic
115C22×C4×D3—21no—
116C2×C3×D8—32no—
117C2×C3×D8—32no—
118C3×C4⋊Q8—21no—
119C3×C4⋊Q8C2×D311yescharacteristic, complemented
120C3×C4⋊Q8C22×C311yescharacteristic, complemented
121C3×#127—31no—
122C3×#124—61no—
123C3×#121—32no—
124C3×#121—61no—
125C3×C4×D4—21no—
126C3×C4×D4—31no—
127C3×C4×D4—31no—
128C3×C4×D4—32no—
129C3×C4×D4—31no—
130C3×C4×D4—61no—
131C3×C4×D4—61no—
132C3×C4×D4—61no—
133C3×C4×D4C2×D311yescharacteristic
134C3×C4×D4C22×C311yescharacteristic
135C2×C3×C4⋊C4—31no—
136C2×C3×C22⋊C4—61no—
137C2×C3×C42—31no—
138#947—21no—
139D4×Dic3C22×C311yescharacteristic
140C2×#213C22×C312yes—
141C4×#67—21no—
142C2×D24C22×C312yes—
143#895—21no—
144#895C22×C312yes—
145#893—21no—
146#893C22×C311yescharacteristic
147#893C22×C312yescomplemented
148D3×C4⋊C4C22×C311yescharacteristic
149#67⋊C4—21no—
150D3×C22⋊C4—21no—
151#874C22×C311yescharacteristic, complemented
152C4×D12C22×C311yescharacteristic
153C42×D3C22×C311yescharacteristic
154C3×#107—22no—
155C3×#107—32no—
156C3×#107C2×D312yescomplemented
157C3×#107C22×C312yescomplemented
158C3×C4⋊C8—21no—
159C3×C4⋊C8—31no—
160C3×C4⋊C8C2×D311yescharacteristic, complemented
161C3×C4⋊C8C22×C311yescharacteristic, complemented
162C3×#102—22no—
163C3×#102—32no—
164C3×#102—32no—
165C3×#102—32no—
166C3×#102C2×D312yes—
167C3×#102C22×C312yes—
168C3×C22⋊C8—32no—
169C3×C4×C8—32no—
170#821C22×C312yescomplemented
171(C2×D3)⋊C8C22×C312yes—
172C8×Dic3C22×C312yescomplemented
173#809C22×C312yes—
174#809C22×C312yescomplemented
175#807C22×C312yescomplemented
176C4⋊(C3⋊C8)C22×C311yescharacteristic, complemented
177C23×C32—21no—
178C22×C3×D3—24no—
179C22×C3×D3—21no—
180C22×C3×D3—22no—
181C22×C3×D3—42no—
182C22×C3×D3—42no—
183C22×C3×D3C2×D411yescharacteristic
184C32×Q8—42no—
185C32×D4—21no—
186C32×D4#4112yescomplemented
187C2×C32×C4—21no—
188C2×C32×C4—22no—
189C2×C32×C4—42no—
190C2×C32×C4C2×D411yescharacteristic
191C2×C32×C4C2×D411yescharacteristic
192C2×C32×C4C2411yescharacteristic
193C3×#67—24no—
194C2×C3×Dic3—21no—
195C2×C3×Dic3—42no—
196C2×C3×Dic3C2×D411yescharacteristic
197C2×C3×Dic3C2×D411yescharacteristic
198C2×C3×Dic3C2×D411yescharacteristic
199C3×D12—21no—
200C3×D12—22no—
201C3×D12—22no—
202C3×D12—42no—
203C3×D12—44no—
204C3×D12—42no—
205C3×D12#4112yescomplemented
206C3×C4×D3—21no—
207C3×C4×D3—21no—
208C3×C4×D3—41no—
209C3×C4×D3—42no—
210C3×C4×D3—42no—
211C3×C4×D3—42no—
212C3×C4×D3—44no—
213C3×C4×D3D814yescomplemented
214C32×C8—22no—
215C3×C3⋊C8—22no—
216#532—31no—
217C2×C4×D4—31no—
218#480—32no—
219#474—31no—
220#474C3×D311yescharacteristic, complemented
221#459—31no—
222#459—31no—
223#447—32no—
224C4×D8—32no—
225C4×D8—32no—
226#431—31no—
227C24×C3—61no—
228C23×D3—21no—
229C3×#41—124no—
230C2×C3×Q8—21no—
231C2×C3×Q8—21no—
232C2×C3×Q8—41no—
233C2×C3×D4—21no—
234C2×C3×D4—31no—
235C2×C3×D4—32no—
236C2×C3×D4—62no—
237C2×C3×D4—61no—
238C2×C3×D4—62no—
239C2×C3×D4—62no—
240C2×C3×D4—61no—
241C2×C3×D4—61no—
242C2×C3×D4C22×D311yescharacteristic
243C2×C3×D4C23×C311yescharacteristic
244C22×C3×C4—21no—
245C22×C3×C4—21no—
246C22×C3×C4—31no—
247C22×C3×C4—31no—
248C22×C3×C4—31no—
249C22×C3×C4—41no—
250C22×C3×C4—61no—
251C22×C3×C4—62no—
252C22×C3×C4—61no—
253C22×C3×C4—61no—
254C22×C3×C4—61no—
255C22×C3×C4—124no—
256C2×#67—21no—
257C22×Dic3—21no—
258#239—44no—
259D3×D4—22no—
260D3×D4—22no—
261C2×D12—22no—
262C2×D12—21no—
263C2×D12—21no—
264C2×D12C23×C312yes—
265C2×D12C23×C311yescharacteristic
266C2×C4×D3—21no—
267C2×C4×D3—21no—
268C2×C4×D3—21no—
269C2×C4×D3—22no—
270C2×C4×D3—44no—
271C2×C4×D3C3×D411yescharacteristic
272C2×C4×D3C3×D411yescharacteristic
273C2×C4×D3C23×C311yescharacteristic
274C3×D8—64no—
275C3×D8—64no—
276C2×C3×C8—22no—
277C2×C3×C8—32no—
278C2×C3×C8C22×D312yes—
279C2×C3×C8C23×C312yes—
280C3×C4⋊C4—21no—
281C3×C4⋊C4—21no—
282C3×C4⋊C4—22no—
283C3×C4⋊C4—21no—
284C3×C4⋊C4—31no—
285C3×C4⋊C4—41no—
286C3×C4⋊C4—61no—
287C3×C4⋊C4C22×D311yescharacteristic
288C3×C4⋊C4C22×D312yes—
289C3×C4⋊C4C23×C312yes—
290C3×C4⋊C4C23×C311yescharacteristic
291C3×C22⋊C4—21no—
292C3×C22⋊C4—21no—
293C3×C22⋊C4—41no—
294C3×C22⋊C4—61no—
295C3×C22⋊C4—62no—
296C3×C22⋊C4—62no—
297C3×C22⋊C4—61no—
298C3×C22⋊C4—61no—
299C3×C42—21no—
300C3×C42—31no—
301C3×C42—31no—
302C3×C42—31no—
303C3×C42C22×D311yescharacteristic
304C3×C42C23×C311yescharacteristic
305#217—21no—
306#213—24no—
307(C2×D3)⋊C4—21no—
308(C2×D3)⋊C4—21no—
309(C2×D3)⋊C4—22no—
310(C2×D3)⋊C4—22no—
311C4⋊Dic3C23×C311yescharacteristic
312Dic3⋊C4—21no—
313C4×Dic3C3×D411yescharacteristic
314C4×Dic3C3×D411yescharacteristic
315C4×Dic3C23×C311yescharacteristic
316C2×C3⋊C8C23×C312yes—
317D24—24no—
318C22×C32—22no—
319C22×C32—41no—
320C22×C32—41no—
321C22×C32C22×D411yescharacteristic
322C2×C3×D3—21no—
323C2×C3×D3—21no—
324C2×C3×D3—22no—
325C2×C3×D3—48no—
326C2×C3×D3—41no—
327C2×C3×D3—41no—
328C2×C3×D3—42no—
329C2×C3×D3—42no—
330C2×C3×D3—42no—
331C2×C3×D3C2×D812yes—
332C32×C4—21no—
333C32×C4—41no—
334C32×C4—42no—
335C32×C4C2×D812yes—
336C32×C4C2×#4111yescharacteristic
337C32×C4C2×#4111yescharacteristic
338C3×Dic3—21no—
339C3×Dic3—21no—
340C3×Dic3—41no—
341C3×Dic3C2×D812yes—
342C2×#41—61no—
343C22×D4—31no—
344C23×C4—61no—
345C2×D8—32no—
346C2×D8—32no—
347C4⋊Q8C2×C3×D311yescharacteristic, complemented
348#127—31no—
349#124—61no—
350#121—32no—
351#121—61no—
352C4×D4—31no—
353C4×D4—31no—
354C4×D4—32no—
355C4×D4—31no—
356C4×D4—61no—
357C4×D4—61no—
358C4×D4—61no—
359C4×D4C2×C3×D311yescharacteristic
360C2×C4⋊C4—31no—
361C2×C22⋊C4—61no—
362C2×C42—31no—
363#107—32no—
364#107C2×C3×D312yescomplemented
365C4⋊C8—31no—
366C4⋊C8C2×C3×D311yescharacteristic, complemented
367#102—32no—
368#102—32no—
369#102—32no—
370#102C2×C3×D312yes—
371C22⋊C8—32no—
372C4×C8—32no—
373C23×C3—21no—
374C23×C3—21no—
375C23×C3—31no—
376C23×C3—41no—
377C23×C3—64no—
378C23×C3—61no—
379C23×C3—62no—
380C23×C3—122no—
381C23×C3—122no—
382C22×D3—24no—
383C22×D3—21no—
384C22×D3—22no—
385C22×D3—42no—
386C22×D3—42no—
387C22×D3C2×C3×D411yescharacteristic
388C3×Q8—42no—
389C3×Q8—42no—
390C3×Q8—82no—
391C3×D4—21no—
392C3×D4—21no—
393C3×D4—22no—
394C3×D4—32no—
395C3×D4—41no—
396C3×D4—64no—
397C3×D4—61no—
398C3×D4—62no—
399C3×D4—62no—
400C3×D4—122no—
401C3×D4—124no—
402C3×D4—122no—
403C3×D4#23912yescomplemented
404C3×D4C3×#4112yescomplemented
405C2×C3×C4—21no—
406C2×C3×C4—22no—
407C2×C3×C4—21no—
408C2×C3×C4—22no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—31no—
413C2×C3×C4—34no—
414C2×C3×C4—31no—
415C2×C3×C4—31no—
416C2×C3×C4—41no—
417C2×C3×C4—42no—
418C2×C3×C4—42no—
419C2×C3×C4—42no—
420C2×C3×C4—61no—
421C2×C3×C4—61no—
422C2×C3×C4—61no—
423C2×C3×C4—82no—
424C2×C3×C4—121no—
425C2×C3×C4—122no—
426C2×C3×C4—124no—
427C2×C3×C4—122no—
428C2×C3×C4—122no—
429C2×C3×C4—122no—
430C2×C3×C4D3×D411yescharacteristic
431C2×C3×C4D3×D411yescharacteristic
432C2×C3×C4C2×C3×D411yescharacteristic
433C2×C3×C4C2×C3×D411yescharacteristic
434C2×C3×C4C23×D311yescharacteristic
435C2×C3×C4C24×C311yescharacteristic
436#67—24no—
437C2×Dic3—21no—
438C2×Dic3—42no—
439C2×Dic3C2×C3×D411yescharacteristic
440C2×Dic3C2×C3×D411yescharacteristic
441C2×Dic3C2×C3×D411yescharacteristic
442D12—21no—
443D12—22no—
444D12—22no—
445D12—42no—
446D12—44no—
447D12—42no—
448D12C3×#4112yescomplemented
449C4×D3—21no—
450C4×D3—21no—
451C4×D3—41no—
452C4×D3—42no—
453C4×D3—42no—
454C4×D3—42no—
455C4×D3—44no—
456C4×D3C3×D814yescomplemented
457C3×C8—22no—
458C3×C8—22no—
459C3×C8—42no—
460C3×C8—62no—
461C3⋊C8—22no—
462C2×C32—42no—
463C2×C32#52511yescharacteristic
464C2×C32C22×D811yescharacteristic
465C2×C32#57511yescharacteristic
466C3×D3—22no—
467C3×D3—42no—
468C3×D3—82no—
469C24—61no—
470#41—124no—
471C2×Q8—21no—
472C2×D4—31no—
473C2×D4—32no—
474C2×D4—62no—
475C2×D4—61no—
476C2×D4—62no—
477C2×D4—62no—
478C2×D4—61no—
479C2×D4—61no—
480C2×D4C22×C3×D311yescharacteristic
481C22×C4—21no—
482C22×C4—31no—
483C22×C4—31no—
484C22×C4—31no—
485C22×C4—61no—
486C22×C4—62no—
487C22×C4—61no—
488C22×C4—61no—
489C22×C4—61no—
490C22×C4—124no—
491D8—64no—
492D8—64no—
493C2×C8—32no—
494C2×C8C22×C3×D312yes—
495C4⋊C4—21no—
496C4⋊C4—31no—
497C4⋊C4—61no—
498C4⋊C4C22×C3×D311yescharacteristic
499C4⋊C4C22×C3×D312yes—
500C22⋊C4—21no—
501C22⋊C4—61no—
502C22⋊C4—62no—
503C22⋊C4—62no—
504C22⋊C4—61no—
505C22⋊C4—61no—
506C42—31no—
507C42—31no—
508C42—31no—
509C42C22×C3×D311yescharacteristic
510C22×C3—22no—
511C22×C3—22no—
512C22×C3—21no—
513C22×C3—32no—
514C22×C3—42no—
515C22×C3—41no—
516C22×C3—41no—
517C22×C3—41no—
518C22×C3—41no—
519C22×C3—61no—
520C22×C3—61no—
521C22×C3—62no—
522C22×C3—81no—
523C22×C3—81no—
524C22×C3—128no—
525C22×C3—121no—
526C22×C3—121no—
527C22×C3—122no—
528C22×C3—122no—
529C22×C3—122no—
530C22×C3C2×D3×D411yescharacteristic
531C22×C3C22×C3×D411yescharacteristic
532C2×D3—21no—
533C2×D3—21no—
534C2×D3—22no—
535C2×D3—48no—
536C2×D3—41no—
537C2×D3—41no—
538C2×D3—42no—
539C2×D3—42no—
540C2×D3—42no—
541C2×D3C2×C3×D812yes—
542C3×C4—21no—
543C3×C4—21no—
544C3×C4—22no—
545C3×C4—21no—
546C3×C4—21no—
547C3×C4—32no—
548C3×C4—41no—
549C3×C4—41no—
550C3×C4—42no—
551C3×C4—41no—
552C3×C4—42no—
553C3×C4—61no—
554C3×C4—61no—
555C3×C4—81no—
556C3×C4—82no—
557C3×C4—121no—
558C3×C4D3×D812yes—
559C3×C4C2×C3×D812yes—
560C3×C4C2×#23911yescharacteristic
561C3×C4D3×#4111yescharacteristic
562C3×C4C2×C3×#4111yescharacteristic
563C3×C4C2×C3×#4111yescharacteristic
564Dic3—21no—
565Dic3—21no—
566Dic3—41no—
567Dic3C2×C3×D812yes—
568C32#310011yescharacteristic, complemented, Sylow
569C23—21no—
570C23—31no—
571C23—64no—
572C23—61no—
573C23—62no—
574C23—122no—
575C23—122no—
576Q8—42no—
577D4—21no—
578D4—32no—
579D4—64no—
580D4—61no—
581D4—62no—
582D4—62no—
583D4—122no—
584D4—124no—
585D4—122no—
586D4C3×#23912yescomplemented
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—31no—
590C2×C4—34no—
591C2×C4—31no—
592C2×C4—31no—
593C2×C4—42no—
594C2×C4—61no—
595C2×C4—61no—
596C2×C4—61no—
597C2×C4—121no—
598C2×C4—122no—
599C2×C4—124no—
600C2×C4—122no—
601C2×C4—122no—
602C2×C4—122no—
603C2×C4C3×D3×D411yescharacteristic
604C2×C4C3×D3×D411yescharacteristic
605C2×C4C23×C3×D311yescharacteristic
606C8—22no—
607C8—62no—
608C2×C3—21no—
609C2×C3—21no—
610C2×C3—21no—
611C2×C3—42no—
612C2×C3—42no—
613C2×C3—62no—
614C2×C3—82no—
615C2×C3—122no—
616C2×C3—242no—
617C2×C3#562711yescharacteristic
618C2×C3C2×D3×D811yescharacteristic
619C2×C3#577711yescharacteristic
620C2×C3C3×#52511yescharacteristic
621C2×C3C22×C3×D811yescharacteristic
622C2×C3C3×#57511yescharacteristic
623D3—22no—
624D3—42no—
625D3—82no—
626C22—22no—
627C22—32no—
628C22—41no—
629C22—41no—
630C22—61no—
631C22—61no—
632C22—62no—
633C22—128no—
634C22—121no—
635C22—121no—
636C22—122no—
637C22—122no—
638C22—122no—
639C22C2×C3×D3×D411yescharacteristic
640C4—21no—
641C4—32no—
642C4—41no—
643C4—42no—
644C4—61no—
645C4—61no—
646C4—121no—
647C4C3×D3×D812yes—
648C4C2×C3×#23911yescharacteristic
649C4C3×D3×#4111yescharacteristic
650C3—21no—
651C3#8094811yescharacteristic, direct product factor
652C3C3×#310011yescharacteristic, complemented
653C2—42no—
654C2—62no—
655C2—122no—
656C2—242no—
657C2C3×#562711yescharacteristic
658C2C2×C3×D3×D811yescharacteristic
659C2C3×#577711yescharacteristic
subgroupG/H
centerC22×C3C2×D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#474C2
socleC22×C32C22×D4
hypercenterC3×#474D3
hypocenterC3C3×#3100
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×C42 ◁ C3×#474

Complements

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

NH ≅ G/Ntype
1. C3×#5725C2semidirect
2. C3×C4×D3×D4C2semidirect
3. C32×#474C2semidirect
4. C3×#5087C2semidirect
5. C3×#5015C2semidirect
6. C3×#4882C2semidirect
7. C3×#4872C2semidirect
8. C3×#4843C2semidirect
9. C3×#4833C2semidirect
10. C3×#4773C2semidirect
11. C3×#4756C2semidirect
13. #80948C3direct (N × H)
17. C32×C4⋊Q8C22semidirect
28. C3×#893C22semidirect
32. C3×#874C22semidirect
35. C32×#107C22semidirect
36. C32×C4⋊C8C22semidirect
38. C3×#821C22semidirect
40. C3×C8×Dic3C22semidirect
42. C3×#809C22semidirect
43. C3×#807C22semidirect
44. C3×C4⋊(C3⋊C8)C22semidirect
47. #5725C2×C3semidirect
48. C4×D3×D4C2×C3semidirect
52. C3×#474D3semidirect
53. C3×#474C2×C3semidirect
60. #5087C2×C3semidirect
61. #5015C2×C3semidirect
62. #4882C2×C3semidirect
63. #4872C2×C3semidirect
64. #4843C2×C3semidirect
65. #4833C2×C3semidirect
66. #4773C2×C3semidirect
67. #4756C2×C3semidirect
119. C3×C4⋊Q8C2×D3semidirect
120. C3×C4⋊Q8C22×C3semidirect
147. #893C22×C3semidirect
151. #874C22×C3semidirect
156. C3×#107C2×D3semidirect
157. C3×#107C22×C3semidirect
160. C3×C4⋊C8C2×D3semidirect
161. C3×C4⋊C8C22×C3semidirect
170. #821C22×C3semidirect
172. C8×Dic3C22×C3semidirect
174. #809C22×C3semidirect
175. #807C22×C3semidirect
176. C4⋊(C3⋊C8)C22×C3semidirect
186. C32×D4#41semidirect
205. C3×D12#41semidirect
213. C3×C4×D3D8semidirect
220. #474C3×D3semidirect
347. C4⋊Q8C2×C3×D3semidirect
364. #107C2×C3×D3semidirect
366. C4⋊C8C2×C3×D3semidirect
403. C3×D4#239semidirect
404. C3×D4C3×#41semidirect
448. D12C3×#41semidirect
456. C4×D3C3×D8semidirect
568. C32#3100semidirect
586. D4C3×#239semidirect
651. C3#80948direct (N × H)
652. C3C3×#3100semidirect

Maximal subgroups

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

subgroupindex
C3×#57252
C3×C4×D3×D42
C32×#4742
C3×#50872
C3×#50152
C3×#48822
C3×#48722
C3×#48432
C3×#48332
C3×#47732
C3×#47562
C3×#31003
#809483