Finite Group Databasebeta

← C3×#84081 #11864037

Subgroups — C3×#84081 #11864037

Order 1152.

1961 conjugacy classes of subgroups.

The subgroup lattice has 665 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C32×#41C211yesmaximal, characteristic, complemented
2C2×C3×#942C211yesmaximal, characteristic, complemented
3C2×C3×#932C211yesmaximal, characteristic, complemented
4C3×#5791C211yesmaximal, characteristic, complemented
5C3×#5239C214yesmaximal, complemented
6C3×#5238C214yesmaximal, complemented
7C3×#5225C211yesmaximal, characteristic, complemented
8C3×#5215C211yesmaximal, characteristic, complemented
9C3×#5207C211yesmaximal, characteristic, complemented
10C3×#3005—31nomaximal
11#84081C311yesmaximal, characteristic, direct product factor
12C2×C32×#41—24no—
13C2×C32×#41—24no—
14C2×C32×#41—22no—
15C2×C32×#41C2214yes—
16C22×C32×Q8C2211yescharacteristic
17C22×C32×D4—21no—
18C22×C32×D4C2211yescharacteristic
19C23×C32×C4—21no—
20C23×C32×C4C2211yescharacteristic
21C2×C3×#235C2211yescharacteristic
22C3×#953—21no—
23C2×C3×#216C2212yescomplemented
24C3×#942—24no—
25C2×C3×#215C2212yescomplemented
26C2×C3×#214C2212yescomplemented
27C3×#932—24no—
28C2×C3×#213C2212yescomplemented
29C3×#930C2212yescomplemented
30C3×#929—21no—
31C3×C4×#67—22no—
32C3×#926C2211yescharacteristic
33C3×#924C2212yescomplemented
34C2×C3×#208C2211yescharacteristic
35C2×C3×#208C2211yescharacteristic
36C3×#835C2214yescomplemented
37C3×#832C2214yescomplemented
38C3×#830C2214yescomplemented
39C22×C3×#41—21no—
40C22×C3×#41D311yescharacteristic, complemented
41C22×C3×#41C2×C311yescharacteristic, complemented
42C2×C3×#137—31no—
43C2×C3×AGL(1,ℤ/8)—31no—
44C3×#525—31no—
45C2×#942C2×C311yescharacteristic, complemented
46C2×#932C2×C311yescharacteristic, complemented
47#5791C2×C311yescharacteristic, complemented
48C3×#452—34no—
49C3×#449—34no—
50C3×#419—31no—
51C3×#418—31no—
52C3×#407—31no—
53#5239C2×C314yescomplemented
54#5238C2×C314yescomplemented
55#5225C2×C311yescharacteristic, complemented
56#5215C2×C311yescharacteristic, complemented
57#5207C2×C311yescharacteristic, complemented
58C24×C32—21no—
59C24×C32D411yescharacteristic
60C32×#41—216no—
61C32×#41—28no—
62C32×#41—28no—
63C2×C32×Q8—22no—
64C2×C32×Q8—21no—
65C2×C32×Q8D414yescomplemented
66C2×C32×Q8C2312yes—
67C2×C32×D4—28no—
68C2×C32×D4—24no—
69C2×C32×D4—21no—
70C2×C32×D4—22no—
71C2×C32×D4D414yescomplemented
72C2×C32×D4C2312yes—
73C22×C32×C4—28no—
74C22×C32×C4—21no—
75C22×C32×C4—24no—
76C22×C32×C4—22no—
77C22×C32×C4—22no—
78C22×C32×C4D412yes—
79C22×C32×C4D411yescharacteristic
80C22×C32×C4C2312yes—
81C22×C32×C4C2311yescharacteristic
82C2×C3×#67—22no—
83C2×C3×#67—21no—
84C3×#235—22no—
85C3×#235—22no—
86C2×C3×D12C2311yescharacteristic
87C2×C3×C4×D3—21no—
88C2×C3×Dic6C2311yescharacteristic
89C3×#217—22no—
90C3×#217—21no—
91C3×#216—24no—
92C3×#215—24no—
93C3×#214—24no—
94C3×#213—24no—
95C3×(C2×D3)⋊C4—22no—
96C3×C4⋊Dic3C2312yes—
97C3×Dic3⋊C4—22no—
98C3×C4×Dic3—21no—
99C3×#208—22no—
100C3×#208—22no—
101C2×C3×C3⋊C8C2312yes—
102C2×C3×C3⋊C8C2312yes—
103#3005—31noSylow
104C2×C3×#41—28no—
105C2×C3×#41—28no—
106C2×C3×#41—24no—
107C2×C3×#41—24no—
108C2×C3×#41—24no—
109C2×C3×#41—24no—
110C2×C3×#41—24no—
111C2×C3×#41—22no—
112C2×C3×#41—22no—
113C2×C3×#41—24no—
114C2×C3×#41—31no—
115C2×C3×#41C2×D314yes—
116C2×C3×#41C22×C314yes—
117C22×C3×Q8—21no—
118C22×C3×Q8C2×D311yescharacteristic
119C22×C3×Q8C22×C311yescharacteristic
120C22×C3×D4—22no—
121C22×C3×D4—21no—
122C22×C3×D4—21no—
123C22×C3×D4—21no—
124C22×C3×D4C2×D311yescharacteristic
125C22×C3×D4C22×C311yescharacteristic
126C23×C3×C4—22no—
127C23×C3×C4—21no—
128C23×C3×C4—21no—
129C23×C3×C4—21no—
130C23×C3×C4C2×D311yescharacteristic
131C23×C3×C4C22×C311yescharacteristic
132C2×#235C22×C311yescharacteristic
133C3×#137—64no—
134C3×AGL(1,ℤ/8)—64no—
135C2×C3×Q16—32no—
136C2×C3×SD16—32no—
137C2×C3×SD16—32no—
138C2×C3×D8—32no—
139C2×C3×M16—31no—
140C2×C3×M16—31no—
141C3×#123—61no—
142C3×C22⋊Q8—32no—
143C3×#121—32no—
144C3×#120—61no—
145C3×C4×D4—62no—
146C3×#117—31no—
147#953—21no—
148C2×#216C22×C312yescomplemented
149#942—24no—
150C2×#215C22×C312yescomplemented
151C2×#214C22×C312yescomplemented
152#932—24no—
153C2×#213C22×C312yescomplemented
154#930C22×C312yescomplemented
155#929—21no—
156C4×#67—22no—
157#926C22×C311yescharacteristic
158#924C22×C312yescomplemented
159C2×#208C22×C311yescharacteristic
160C2×#208C22×C311yescharacteristic
161C3×#103—34no—
162C3×#102—34no—
163C3×C22⋊C8—34no—
164#835C22×C314yescomplemented
165#832C22×C314yescomplemented
166#830C22×C314yescomplemented
167C23×C32—24no—
168C23×C32—22no—
169C23×C32—22no—
170C23×C32—42no—
171C23×C32—44no—
172C23×C32C2×D412yes—
173C23×C32C2×D411yescharacteristic
174C22×C3×D3—21no—
175C32×Q8—24no—
176C32×Q8—22no—
177C32×Q8C2×D414yes—
178C32×D4—216no—
179C32×D4—24no—
180C32×D4—22no—
181C32×D4C2×D414yes—
182C2×C32×C4—216no—
183C2×C32×C4—22no—
184C2×C32×C4—24no—
185C2×C32×C4—22no—
186C2×C32×C4—24no—
187C2×C32×C4—22no—
188C2×C32×C4—22no—
189C2×C32×C4C2×D412yes—
190C2×C32×C4C2×D411yescharacteristic
191C2×C32×C4C2×D412yes—
192C2×C32×C4C2×D412yes—
193C2×C32×C4C2411yescharacteristic
194C3×#67—44no—
195C3×#67—42no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—21no—
198C3×D12—21no—
199C3×D12—21no—
200C3×C4×D3—42no—
201C3×Dic6—21no—
202C3×Dic6—21no—
203C3×C3⋊C8—22no—
204C3×C3⋊C8—22no—
205C22×#41C3×D311yescharacteristic, complemented
206C2×#137—31no—
207C2×AGL(1,ℤ/8)—31no—
208#525—31no—
209#452—34no—
210#449—34no—
211#419—31no—
212#418—31no—
213#407—31no—
214C24×C3—22no—
215C24×C3—21no—
216C24×C3—21no—
217C24×C3—21no—
218C24×C3#6711yescharacteristic
219C24×C3C3×D411yescharacteristic
220C3×#41—232no—
221C3×#41—216no—
222C3×#41—216no—
223C3×#41—216no—
224C3×#41—216no—
225C3×#41—28no—
226C3×#41—28no—
227C3×#41—28no—
228C3×#41—28no—
229C3×#41—62no—
230C3×#41—62no—
231C2×C3×Q8—24no—
232C2×C3×Q8—22no—
233C2×C3×Q8—22no—
234C2×C3×Q8—21no—
235C2×C3×Q8—22no—
236C2×C3×Q8—21no—
237C2×C3×Q8—24no—
238C2×C3×Q8—22no—
239C2×C3×Q8—31no—
240C2×C3×Q8#6714yescomplemented
241C2×C3×Q8C3×D414yescomplemented
242C2×C3×Q8C22×D312yes—
243C2×C3×Q8C23×C312yes—
244C2×C3×D4—216no—
245C2×C3×D4—28no—
246C2×C3×D4—28no—
247C2×C3×D4—28no—
248C2×C3×D4—22no—
249C2×C3×D4—24no—
250C2×C3×D4—24no—
251C2×C3×D4—24no—
252C2×C3×D4—21no—
253C2×C3×D4—22no—
254C2×C3×D4—21no—
255C2×C3×D4—22no—
256C2×C3×D4—24no—
257C2×C3×D4—22no—
258C2×C3×D4—31no—
259C2×C3×D4—62no—
260C2×C3×D4—61no—
261C2×C3×D4#6714yescomplemented
262C2×C3×D4C3×D414yescomplemented
263C2×C3×D4C22×D312yes—
264C2×C3×D4C23×C312yes—
265C22×C3×C4—22no—
266C22×C3×C4—216no—
267C22×C3×C4—28no—
268C22×C3×C4—28no—
269C22×C3×C4—28no—
270C22×C3×C4—24no—
271C22×C3×C4—24no—
272C22×C3×C4—21no—
273C22×C3×C4—21no—
274C22×C3×C4—24no—
275C22×C3×C4—22no—
276C22×C3×C4—22no—
277C22×C3×C4—24no—
278C22×C3×C4—22no—
279C22×C3×C4—22no—
280C22×C3×C4—21no—
281C22×C3×C4—22no—
282C22×C3×C4—21no—
283C22×C3×C4—22no—
284C22×C3×C4—61no—
285C22×C3×C4#6712yes—
286C22×C3×C4#6711yescharacteristic
287C22×C3×C4C3×D412yes—
288C22×C3×C4C3×D411yescharacteristic
289C22×C3×C4C22×D312yes—
290C22×C3×C4C22×D311yescharacteristic
291C22×C3×C4C23×C312yes—
292C22×C3×C4C23×C311yescharacteristic
293C2×#67—22no—
294C2×#67—21no—
295#235—22no—
296#235—22no—
297C2×D12C23×C311yescharacteristic
298C2×C4×D3—21no—
299C2×Dic6C23×C311yescharacteristic
300C3×Q16—64no—
301C3×SD16—64no—
302C3×SD16—64no—
303C3×D8—64no—
304C3×M16—62no—
305C3×M16—62no—
306C2×C3×C8—32no—
307C2×C3×C8—32no—
308C3×C4⋊C4—32no—
309C3×C4⋊C4—62no—
310C3×C22⋊C4—61no—
311C3×C22⋊C4—62no—
312C3×C22⋊C4—62no—
313C3×C42—61no—
314#217—22no—
315#217—21no—
316#216—24no—
317#215—24no—
318#214—24no—
319#213—24no—
320(C2×D3)⋊C4—22no—
321C4⋊Dic3C23×C312yes—
322Dic3⋊C4—22no—
323C4×Dic3—21no—
324#208—22no—
325#208—22no—
326C2×C3⋊C8C23×C312yes—
327C2×C3⋊C8C23×C312yes—
328C22×C32—22no—
329C22×C32—22no—
330C22×C32—24no—
331C22×C32—22no—
332C22×C32—22no—
333C22×C32—44no—
334C22×C32—48no—
335C22×C32—44no—
336C22×C32#12012yes—
337C22×C32C22×D411yescharacteristic
338C2×C3×D3—41no—
339C2×C3×D3—42no—
340C32×C4—22no—
341C32×C4—24no—
342C32×C4#12012yes—
343C32×C4C22×D411yescharacteristic
344C32×C4C22×D411yescharacteristic
345C3×Dic3—41no—
346C3×Dic3—42no—
347C2×#41—24no—
348C2×#41—24no—
349C2×#41—22no—
350C2×#41—31no—
351C2×#41C2×C3×D314yes—
352C22×Q8C2×C3×D311yescharacteristic
353C22×D4—21no—
354C22×D4C2×C3×D311yescharacteristic
355C23×C4—21no—
356C23×C4C2×C3×D311yescharacteristic
357#137—64no—
358AGL(1,ℤ/8)—64no—
359C2×Q16—32no—
360C2×SD16—32no—
361C2×SD16—32no—
362C2×D8—32no—
363C2×M16—31no—
364C2×M16—31no—
365#123—61no—
366C22⋊Q8—32no—
367#121—32no—
368#120—61no—
369C4×D4—62no—
370#117—31no—
371#103—34no—
372#102—34no—
373C22⋊C8—34no—
374C23×C3—24no—
375C23×C3—28no—
376C23×C3—24no—
377C23×C3—22no—
378C23×C3—24no—
379C23×C3—22no—
380C23×C3—24no—
381C23×C3—22no—
382C23×C3—22no—
383C23×C3—21no—
384C23×C3—22no—
385C23×C3—42no—
386C23×C3—42no—
387C23×C3—44no—
388C23×C3—48no—
389C23×C3—44no—
390C23×C3—44no—
391C23×C3—61no—
392C23×C3C2×#6712yes—
393C23×C3C2×#6711yescharacteristic
394C23×C3C2×C3×D412yes—
395C23×C3C2×C3×D411yescharacteristic
396C22×D3—21no—
397C3×Q8—28no—
398C3×Q8—24no—
399C3×Q8—24no—
400C3×Q8—24no—
401C3×Q8—22no—
402C3×Q8—22no—
403C3×Q8—24no—
404C3×Q8—61no—
405C3×Q8—61no—
406C3×Q8C2×#6714yes—
407C3×Q8C2×C3×D414yes—
408C3×D4—232no—
409C3×D4—216no—
410C3×D4—216no—
411C3×D4—28no—
412C3×D4—24no—
413C3×D4—24no—
414C3×D4—24no—
415C3×D4—22no—
416C3×D4—22no—
417C3×D4—24no—
418C3×D4—61no—
419C3×D4—61no—
420C3×D4—124no—
421C3×D4—122no—
422C3×D4C2×#6714yes—
423C3×D4C2×C3×D414yes—
424C2×C3×C4—24no—
425C2×C3×C4—28no—
426C2×C3×C4—24no—
427C2×C3×C4—232no—
428C2×C3×C4—216no—
429C2×C3×C4—216no—
430C2×C3×C4—28no—
431C2×C3×C4—24no—
432C2×C3×C4—24no—
433C2×C3×C4—22no—
434C2×C3×C4—24no—
435C2×C3×C4—22no—
436C2×C3×C4—24no—
437C2×C3×C4—22no—
438C2×C3×C4—22no—
439C2×C3×C4—24no—
440C2×C3×C4—24no—
441C2×C3×C4—22no—
442C2×C3×C4—22no—
443C2×C3×C4—22no—
444C2×C3×C4—22no—
445C2×C3×C4—21no—
446C2×C3×C4—22no—
447C2×C3×C4—21no—
448C2×C3×C4—22no—
449C2×C3×C4—22no—
450C2×C3×C4—62no—
451C2×C3×C4—61no—
452C2×C3×C4—122no—
453C2×C3×C4C2×#6712yes—
454C2×C3×C4C2×#6711yescharacteristic
455C2×C3×C4C2×#6712yes—
456C2×C3×C4C2×#6712yes—
457C2×C3×C4C2×C3×D412yes—
458C2×C3×C4C2×C3×D411yescharacteristic
459C2×C3×C4C2×C3×D412yes—
460C2×C3×C4C2×C3×D412yes—
461C2×C3×C4C23×D311yescharacteristic
462C2×C3×C4C24×C311yescharacteristic
463#67—44no—
464#67—42no—
465C2×Dic3—22no—
466C2×Dic3—21no—
467D12—21no—
468D12—21no—
469C4×D3—42no—
470Dic6—21no—
471Dic6—21no—
472C3×C8—62no—
473C3×C8—62no—
474C3⋊C8—22no—
475C3⋊C8—22no—
476C2×C32—22no—
477C2×C32—42no—
478C2×C32—44no—
479C2×C32C2×#12011yescharacteristic
480C2×C32#57512yes—
481C3×D3—81no—
482C24—21no—
483C24C3×#6711yescharacteristic
484#41—216no—
485#41—28no—
486#41—28no—
487#41—62no—
488#41—62no—
489C2×Q8—22no—
490C2×Q8—21no—
491C2×Q8—31no—
492C2×Q8C3×#6714yescomplemented
493C2×Q8C22×C3×D312yes—
494C2×D4—28no—
495C2×D4—24no—
496C2×D4—21no—
497C2×D4—22no—
498C2×D4—31no—
499C2×D4—62no—
500C2×D4—61no—
501C2×D4C3×#6714yescomplemented
502C2×D4C22×C3×D312yes—
503C22×C4—28no—
504C22×C4—21no—
505C22×C4—24no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—61no—
509C22×C4C3×#6712yes—
510C22×C4C3×#6711yescharacteristic
511C22×C4C22×C3×D312yes—
512C22×C4C22×C3×D311yescharacteristic
513Q16—64no—
514SD16—64no—
515SD16—64no—
516D8—64no—
517M16—62no—
518M16—62no—
519C2×C8—32no—
520C2×C8—32no—
521C4⋊C4—32no—
522C4⋊C4—62no—
523C22⋊C4—61no—
524C22⋊C4—62no—
525C22⋊C4—62no—
526C42—61no—
527C22×C3—24no—
528C22×C3—22no—
529C22×C3—22no—
530C22×C3—24no—
531C22×C3—28no—
532C22×C3—22no—
533C22×C3—22no—
534C22×C3—22no—
535C22×C3—22no—
536C22×C3—22no—
537C22×C3—24no—
538C22×C3—22no—
539C22×C3—24no—
540C22×C3—22no—
541C22×C3—21no—
542C22×C3—42no—
543C22×C3—42no—
544C22×C3—48no—
545C22×C3—416no—
546C22×C3—44no—
547C22×C3—48no—
548C22×C3—44no—
549C22×C3—48no—
550C22×C3—48no—
551C22×C3—44no—
552C22×C3—44no—
553C22×C3—122no—
554C22×C3—121no—
555C22×C3#95312yes—
556C22×C3C3×#12012yes—
557C22×C3C22×#6711yescharacteristic
558C22×C3C22×C3×D411yescharacteristic
559C2×D3—42no—
560C2×D3—41no—
561C3×C4—24no—
562C3×C4—28no—
563C3×C4—22no—
564C3×C4—24no—
565C3×C4—22no—
566C3×C4—24no—
567C3×C4—22no—
568C3×C4—21no—
569C3×C4—21no—
570C3×C4—122no—
571C3×C4—121no—
572C3×C4#95312yes—
573C3×C4C3×#12012yes—
574C3×C4C22×#6711yescharacteristic
575C3×C4C22×#6711yescharacteristic
576C3×C4C22×C3×D411yescharacteristic
577C3×C4C22×C3×D411yescharacteristic
578Dic3—42no—
579Dic3—41no—
580C32#300511yescharacteristic, complemented, Sylow
581C23—22no—
582C23—24no—
583C23—22no—
584C23—42no—
585C23—44no—
586C23—61no—
587C23C2×C3×#6712yes—
588C23C2×C3×#6711yescharacteristic
589Q8—24no—
590Q8—22no—
591Q8—61no—
592Q8—61no—
593Q8C2×C3×#6714yes—
594D4—216no—
595D4—24no—
596D4—22no—
597D4—61no—
598D4—61no—
599D4—124no—
600D4—122no—
601D4C2×C3×#6714yes—
602C2×C4—216no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—24no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—62no—
610C2×C4—61no—
611C2×C4—122no—
612C2×C4C2×C3×#6712yes—
613C2×C4C2×C3×#6711yescharacteristic
614C2×C4C2×C3×#6712yes—
615C2×C4C2×C3×#6712yes—
616C2×C4C23×C3×D311yescharacteristic
617C8—62no—
618C8—62no—
619C2×C3—24no—
620C2×C3—22no—
621C2×C3—22no—
622C2×C3—22no—
623C2×C3—21no—
624C2×C3—44no—
625C2×C3—48no—
626C2×C3—42no—
627C2×C3—44no—
628C2×C3—42no—
629C2×C3—44no—
630C2×C3—241no—
631C2×C3#582212yes—
632C2×C3C2×#95311yescharacteristic
633C2×C3C2×C3×#12011yescharacteristic
634C2×C3C3×#57512yes—
635D3—81no—
636C22—22no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—24no—
641C22—44no—
642C22—48no—
643C22—44no—
644C22—122no—
645C22—121no—
646C22C3×#95312yes—
647C22C22×C3×#6711yescharacteristic
648C4—22no—
649C4—24no—
650C4—122no—
651C4—121no—
652C4C3×#95312yes—
653C4C22×C3×#6711yescharacteristic
654C4C22×C3×#6711yescharacteristic
655C3—21no—
656C3#8408111yescharacteristic, direct product factor
657C3C3×#300511yescharacteristic, complemented
658C2—22no—
659C2—42no—
660C2—44no—
661C2—241no—
662C2C3×#582212yes—
663C2C2×C3×#95311yescharacteristic
subgroupG/H
centerC22×C3C22×#67
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC22×C32×#41C2
socleC22×C32C22×D4
hypercenterC22×C3×#41D3
hypocenterC3C3×#3005
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C23×C3×C4 ◁ C22×C3×#41

Complements

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

NH ≅ G/Ntype
1. C22×C32×#41C2semidirect
2. C2×C3×#942C2semidirect
3. C2×C3×#932C2semidirect
4. C3×#5791C2semidirect
5. C3×#5239C2semidirect
6. C3×#5238C2semidirect
7. C3×#5225C2semidirect
8. C3×#5215C2semidirect
9. C3×#5207C2semidirect
11. #84081C3direct (N × H)
23. C2×C3×#216C22semidirect
25. C2×C3×#215C22semidirect
26. C2×C3×#214C22semidirect
28. C2×C3×#213C22semidirect
29. C3×#930C22semidirect
33. C3×#924C22semidirect
36. C3×#835C22semidirect
37. C3×#832C22semidirect
38. C3×#830C22semidirect
40. C22×C3×#41D3semidirect
41. C22×C3×#41C2×C3semidirect
45. C2×#942C2×C3semidirect
46. C2×#932C2×C3semidirect
47. #5791C2×C3semidirect
53. #5239C2×C3semidirect
54. #5238C2×C3semidirect
55. #5225C2×C3semidirect
56. #5215C2×C3semidirect
57. #5207C2×C3semidirect
65. C2×C32×Q8D4semidirect
71. C2×C32×D4D4semidirect
148. C2×#216C22×C3semidirect
150. C2×#215C22×C3semidirect
151. C2×#214C22×C3semidirect
153. C2×#213C22×C3semidirect
154. #930C22×C3semidirect
158. #924C22×C3semidirect
164. #835C22×C3semidirect
165. #832C22×C3semidirect
166. #830C22×C3semidirect
205. C22×#41C3×D3semidirect
240. C2×C3×Q8#67semidirect
241. C2×C3×Q8C3×D4semidirect
261. C2×C3×D4#67semidirect
262. C2×C3×D4C3×D4semidirect
492. C2×Q8C3×#67semidirect
501. C2×D4C3×#67semidirect
580. C32#3005semidirect
656. C3#84081direct (N × H)
657. C3C3×#3005semidirect

Maximal subgroups

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

subgroupindex
C22×C32×#412
C2×C3×#9422
C2×C3×#9322
C3×#57912
C3×#52392
C3×#52382
C3×#52252
C3×#52152
C3×#52072
C3×#30053
#840813