Finite Group Databasebeta

← C3×#10588637 #13142450

Subgroups — C3×#10588637 #13142450

Order 1728.

906 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#611C211yesmaximal, characteristic
2C2×C3×C9×C22⋊C4C211yesmaximal, characteristic, complemented
3C2×C3×#3676C211yesmaximal, characteristic, complemented
4C2×C3×(C2×D9)⋊C4C211yesmaximal, characteristic, complemented
5C2×C3×(C2×D9)⋊C4C211yesmaximal, characteristic, complemented
6C2×C3×Dic9⋊C4C211yesmaximal, characteristic, complemented
7C2×C3×C4×Dic9C211yesmaximal, characteristic, complemented
8C3×#4957—31nomaximal
9#10588637C311yesmaximal, characteristic, direct product factor
10C24×C3×C9C2211yescharacteristic
11C23×C3×D9C2211yescharacteristic
12C22×C3×C4×C9C2211yescharacteristic
13C22×C3×C4×C9C2211yescharacteristic
14C2×C3×#611—22no—
15C2×C3×#611—22no—
16C2×C3×#611C414yescomplemented
17C22×C3×Dic9C2211yescharacteristic
18C22×C3×Dic9C2211yescharacteristic
19C22×C3×Dic9C2211yescharacteristic
20C3×C9×C22⋊C4—22no—
21C3×#3676—22no—
22C3×(C2×D9)⋊C4—22no—
23C3×(C2×D9)⋊C4—22no—
24C3×Dic9⋊C4—22no—
25C3×C4×Dic9—22no—
26C22×C3×#67—31no—
27C2×C32×C22⋊C4D311yescharacteristic
28C2×C3×#217—31no—
29C2×C3×(C2×D3)⋊C4—31no—
30C2×C3×(C2×D3)⋊C4—31no—
31C2×C3×Dic3⋊C4—31no—
32C2×C3×C4×Dic3—31no—
33C22×#611C2×C311yescharacteristic
34C2×C9×C22⋊C4—21no—
35C2×C9×C22⋊C4C2×C311yescharacteristic, complemented
36C2×#3676C2×C311yescharacteristic, complemented
37C2×(C2×D9)⋊C4C2×C311yescharacteristic, complemented
38C2×(C2×D9)⋊C4C2×C311yescharacteristic, complemented
39C2×Dic9⋊C4C2×C311yescharacteristic, complemented
40C2×C4×Dic9C2×C311yescharacteristic, complemented
41C23×C3×C9—21no—
42C23×C3×C9—21no—
43C23×C3×C9—21no—
44C23×C3×C9—21no—
45C23×C3×C9—21no—
46C23×C3×C9—21no—
47C23×C3×C9C2×C412yes—
48C23×C3×C9C2311yescharacteristic
49C22×C3×D9—21no—
50C22×C3×D9—21no—
51C22×C3×D9—21no—
52C22×C3×D9—21no—
53C22×C3×D9—21no—
54C22×C3×D9—21no—
55C22×C3×D9C2×C412yes—
56C2×C3×C4×C9—21no—
57C2×C3×C4×C9—21no—
58C2×C3×C4×C9—21no—
59C2×C3×C4×C9—21no—
60C2×C3×C4×C9—21no—
61C2×C3×C4×C9D412yescomplemented
62C3×#611—28no—
63C2×C3×Dic9—21no—
64C2×C3×Dic9—21no—
65C2×C3×Dic9—21no—
66C2×C3×Dic9—21no—
67C2×C3×Dic9—21no—
68C2×C3×Dic9C2×C412yes—
69C2×C3×Dic9D412yes—
70C2×C3×Dic9D412yes—
71C2×C3×Dic9D412yescomplemented
72C3×#390—91no—
73#4957—31no—
74C24×C32C2×D311yescharacteristic
75C23×C3×D3—31no—
76C22×C32×C4C2×D311yescharacteristic
77C22×C32×C4C2×D311yescharacteristic
78C2×C3×#67—34no—
79C2×C3×#67—62no—
80C2×C3×#67—62no—
81C22×C3×Dic3—31no—
82C22×C3×Dic3—31no—
83C22×C3×Dic3—31no—
84C24×C9—21no—
85C24×C9C22×C311yescharacteristic
86C23×D9C22×C311yescharacteristic
87C32×C22⋊C4—22no—
88C3×#217—62no—
89C3×(C2×D3)⋊C4—62no—
90C3×(C2×D3)⋊C4—62no—
91C3×Dic3⋊C4—62no—
92C3×C4×Dic3—62no—
93C22×C4×C9—21no—
94C22×C4×C9—21no—
95C22×C4×C9C22×C311yescharacteristic
96C22×C4×C9C22×C311yescharacteristic
97C2×#611—22no—
98C2×#611—22no—
99C2×#611C3×C414yescomplemented
100C22×Dic9C22×C311yescharacteristic
101C22×Dic9C22×C311yescharacteristic
102C22×Dic9C22×C311yescharacteristic
103C9×C22⋊C4—24no—
104C9×C22⋊C4—22no—
105#3676—22no—
106(C2×D9)⋊C4—22no—
107(C2×D9)⋊C4—22no—
108Dic9⋊C4—22no—
109C4×Dic9—22no—
110C22×C3×C9—22no—
111C22×C3×C9—22no—
112C22×C3×C9—22no—
113C22×C3×C9—41no—
114C22×C3×C9—41no—
115C22×C3×C9—41no—
116C22×C3×C9—41no—
117C22×C3×C9C22×C411yescharacteristic
118C22×C3×C9C2×D411yescharacteristic
119C22×C3×C9C2×D411yescharacteristic
120C22×C3×C9C2×D411yescharacteristic
121C22×C3×C9C2×D411yescharacteristic
122C22×C3×C9#4111yescharacteristic
123C22×C3×C9#4111yescharacteristic
124C2×C3×D9—22no—
125C2×C3×D9—22no—
126C2×C3×D9—22no—
127C2×C3×D9—41no—
128C2×C3×D9—41no—
129C2×C3×D9—41no—
130C2×C3×D9—41no—
131C3×C4×C9—22no—
132C3×C4×C9—41no—
133C3×Dic9—22no—
134C3×Dic9—41no—
135C3×Dic9C22⋊C414yescomplemented
136C22×C3×D4—91no—
137C22×#67—31no—
138C2×C3×C4⋊C4—91no—
139C2×C3×C22⋊C4—21no—
140C2×C3×C22⋊C4—91no—
141C2×C3×C22⋊C4—91no—
142C2×C3×C22⋊C4—91no—
143C2×C3×C22⋊C4D911yescharacteristic, complemented
144C2×C3×C22⋊C4C3×D311yescharacteristic
145C2×C3×C42—91no—
146C2×#217—31no—
147C2×(C2×D3)⋊C4—31no—
148C2×(C2×D3)⋊C4—31no—
149C2×Dic3⋊C4—31no—
150C2×C4×Dic3—31no—
151C23×C32—21no—
152C23×C32—21no—
153C23×C32—21no—
154C23×C32—21no—
155C23×C32—21no—
156C23×C32—21no—
157C23×C32C4×D312yes—
158C23×C32C22×D311yescharacteristic
159C22×C3×D3—32no—
160C22×C3×D3—61no—
161C22×C3×D3—61no—
162C22×C3×D3—61no—
163C22×C3×D3—61no—
164C22×C3×D3—61no—
165C22×C3×D3—61no—
166C2×C32×C4—21no—
167C2×C32×C4—21no—
168C2×C32×C4—21no—
169C2×C32×C4—21no—
170C2×C32×C4—21no—
171C2×C32×C4#6712yes—
172C3×#67—68no—
173C2×C3×Dic3—32no—
174C2×C3×Dic3—32no—
175C2×C3×Dic3—32no—
176C2×C3×Dic3—32no—
177C2×C3×Dic3—61no—
178C2×C3×Dic3—61no—
179C2×C3×Dic3—61no—
180C2×C3×Dic3—61no—
181C2×C3×Dic3—61no—
182C23×C9—22no—
183C23×C9—22no—
184C23×C9—21no—
185C23×C9—21no—
186C23×C9—21no—
187C23×C9—21no—
188C23×C9—21no—
189C23×C9—21no—
190C23×C9—22no—
191C23×C9—21no—
192C23×C9—41no—
193C23×C9—41no—
194C23×C9—41no—
195C23×C9—41no—
196C23×C9C2×C3×C412yes—
197C23×C9C23×C311yescharacteristic
198C22×D9—21no—
199C22×D9—21no—
200C22×D9—21no—
201C22×D9—21no—
202C22×D9—21no—
203C22×D9—21no—
204C22×D9C2×C3×C412yes—
205C2×C4×C9—21no—
206C2×C4×C9—21no—
207C2×C4×C9—22no—
208C2×C4×C9—21no—
209C2×C4×C9—21no—
210C2×C4×C9—21no—
211C2×C4×C9—22no—
212C2×C4×C9—41no—
213C2×C4×C9—41no—
214C2×C4×C9—41no—
215C2×C4×C9—41no—
216C2×C4×C9C3×D412yescomplemented
217#611—28no—
218C2×Dic9—21no—
219C2×Dic9—21no—
220C2×Dic9—21no—
221C2×Dic9—21no—
222C2×Dic9—21no—
223C2×Dic9C2×C3×C412yes—
224C2×Dic9C3×D412yes—
225C2×Dic9C3×D412yes—
226C2×Dic9C3×D412yescomplemented
227#390—91noSylow
228C2×C3×C9—42no—
229C2×C3×C9C2×C22⋊C411yescharacteristic
230C2×C3×C9C4×D411yescharacteristic
231C2×C3×C9C4×D411yescharacteristic
232C2×C3×C9#12111yescharacteristic
233C2×C3×C9#12111yescharacteristic
234C2×C3×C9#12411yescharacteristic
235C2×C3×C9#12711yescharacteristic
236C3×D9—42no—
237C24×C3—21no—
238C24×C3—91no—
239C24×C3C2×D911yescharacteristic
240C24×C3C2×C3×D311yescharacteristic
241C23×D3—31no—
242C2×C3×D4—94no—
243C2×C3×D4—182no—
244C2×C3×D4—182no—
245C22×C3×C4—21no—
246C22×C3×C4—21no—
247C22×C3×C4—91no—
248C22×C3×C4—91no—
249C22×C3×C4—91no—
250C22×C3×C4C2×D911yescharacteristic
251C22×C3×C4C2×D911yescharacteristic
252C22×C3×C4C2×C3×D311yescharacteristic
253C22×C3×C4C2×C3×D311yescharacteristic
254C2×#67—34no—
255C2×#67—62no—
256C2×#67—62no—
257C22×Dic3—31no—
258C22×Dic3—31no—
259C22×Dic3—31no—
260C3×C4⋊C4—182no—
261C3×C22⋊C4—24no—
262C3×C22⋊C4—22no—
263C3×C22⋊C4—22no—
264C3×C22⋊C4—182no—
265C3×C22⋊C4—182no—
266C3×C22⋊C4—182no—
267C3×C42—182no—
268#217—62no—
269(C2×D3)⋊C4—62no—
270(C2×D3)⋊C4—62no—
271Dic3⋊C4—62no—
272C4×Dic3—62no—
273C22×C32—22no—
274C22×C32—22no—
275C22×C32—22no—
276C22×C32—41no—
277C22×C32—41no—
278C22×C32—41no—
279C22×C32—41no—
280C22×C32C2×C4×D311yescharacteristic
281C22×C32#23511yescharacteristic
282C22×C32D3×D411yescharacteristic
283C22×C32D3×D411yescharacteristic
284C22×C32D3×D411yescharacteristic
285C22×C32#23711yescharacteristic
286C22×C32C2×#6711yescharacteristic
287C2×C3×D3—62no—
288C2×C3×D3—62no—
289C2×C3×D3—62no—
290C2×C3×D3—121no—
291C2×C3×D3—121no—
292C2×C3×D3—121no—
293C2×C3×D3—121no—
294C32×C4—22no—
295C32×C4—41no—
296C3×Dic3—34no—
297C3×Dic3—62no—
298C3×Dic3—121no—
299C22×C9—24no—
300C22×C9—22no—
301C22×C9—22no—
302C22×C9—22no—
303C22×C9—21no—
304C22×C9—21no—
305C22×C9—21no—
306C22×C9—21no—
307C22×C9—21no—
308C22×C9—21no—
309C22×C9—21no—
310C22×C9—42no—
311C22×C9—42no—
312C22×C9—42no—
313C22×C9—42no—
314C22×C9—42no—
315C22×C9—42no—
316C22×C9—41no—
317C22×C9—41no—
318C22×C9—41no—
319C22×C9—41no—
320C22×C9C22×C3×C411yescharacteristic
321C22×C9C2×C3×D411yescharacteristic
322C22×C9C2×C3×D411yescharacteristic
323C22×C9C2×C3×D411yescharacteristic
324C22×C9C2×C3×D411yescharacteristic
325C22×C9C3×#4111yescharacteristic
326C22×C9C3×#4111yescharacteristic
327C2×D9—22no—
328C2×D9—22no—
329C2×D9—22no—
330C2×D9—41no—
331C2×D9—41no—
332C2×D9—41no—
333C2×D9—41no—
334C4×C9—22no—
335C4×C9—42no—
336C4×C9—42no—
337C4×C9—41no—
338Dic9—22no—
339Dic9—41no—
340Dic9C3×C22⋊C414yescomplemented
341C22×D4—91no—
342C2×C4⋊C4—91no—
343C2×C22⋊C4—91no—
344C2×C22⋊C4—91no—
345C2×C22⋊C4—91no—
346C2×C22⋊C4C3×D911yescharacteristic, complemented
347C2×C42—91no—
348C3×C9#39011yescharacteristic, complemented, Sylow
349C23×C3—22no—
350C23×C3—22no—
351C23×C3—21no—
352C23×C3—21no—
353C23×C3—21no—
354C23×C3—21no—
355C23×C3—21no—
356C23×C3—21no—
357C23×C3—21no—
358C23×C3—21no—
359C23×C3—21no—
360C23×C3—21no—
361C23×C3—21no—
362C23×C3—21no—
363C23×C3—22no—
364C23×C3—21no—
365C23×C3—41no—
366C23×C3—41no—
367C23×C3—41no—
368C23×C3—41no—
369C23×C3—92no—
370C23×C3—181no—
371C23×C3—181no—
372C23×C3—181no—
373C23×C3—181no—
374C23×C3—181no—
375C23×C3—181no—
376C23×C3C4×D912yes—
377C23×C3C22×D911yescharacteristic
378C23×C3C3×C4×D312yes—
379C23×C3C22×C3×D311yescharacteristic
380C22×D3—32no—
381C22×D3—61no—
382C22×D3—61no—
383C22×D3—61no—
384C22×D3—61no—
385C22×D3—61no—
386C22×D3—61no—
387C3×D4—188no—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—22no—
393C2×C3×C4—21no—
394C2×C3×C4—21no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—22no—
400C2×C3×C4—41no—
401C2×C3×C4—41no—
402C2×C3×C4—41no—
403C2×C3×C4—41no—
404C2×C3×C4—92no—
405C2×C3×C4—92no—
406C2×C3×C4—92no—
407C2×C3×C4—92no—
408C2×C3×C4—181no—
409C2×C3×C4—181no—
410C2×C3×C4—181no—
411C2×C3×C4—181no—
412C2×C3×C4—181no—
413C2×C3×C4#61112yescomplemented
414C2×C3×C4C3×#6712yes—
415#67—68no—
416C2×Dic3—32no—
417C2×Dic3—32no—
418C2×Dic3—32no—
419C2×Dic3—32no—
420C2×Dic3—61no—
421C2×Dic3—61no—
422C2×Dic3—61no—
423C2×Dic3—61no—
424C2×Dic3—61no—
425C2×C32—42no—
426C2×C32D3×C22⋊C411yescharacteristic
427C2×C32#67⋊C411yescharacteristic
428C2×C32#88411yescharacteristic
429C2×C32#88511yescharacteristic
430C2×C32C4×#6711yescharacteristic
431C2×C32#93911yescharacteristic
432C2×C32#94011yescharacteristic
433C3×D3—122no—
434C2×C9—21no—
435C2×C9—21no—
436C2×C9—21no—
437C2×C9—21no—
438C2×C9—21no—
439C2×C9—21no—
440C2×C9—21no—
441C2×C9—44no—
442C2×C9—42no—
443C2×C9C2×C3×C22⋊C411yescharacteristic
444C2×C9C3×C4×D411yescharacteristic
445C2×C9C3×C4×D411yescharacteristic
446C2×C9C3×#12111yescharacteristic
447C2×C9C3×#12111yescharacteristic
448C2×C9C3×#12411yescharacteristic
449C2×C9C3×#12711yescharacteristic
450D9—42no—
451C24—91no—
452C24C2×C3×D911yescharacteristic
453C2×D4—94no—
454C2×D4—182no—
455C2×D4—182no—
456C22×C4—91no—
457C22×C4—91no—
458C22×C4—91no—
459C22×C4C2×C3×D911yescharacteristic
460C22×C4C2×C3×D911yescharacteristic
461C4⋊C4—182no—
462C22⋊C4—22no—
463C22⋊C4—182no—
464C22⋊C4—182no—
465C22⋊C4—182no—
466C42—182no—
467C22×C3—24no—
468C22×C3—22no—
469C22×C3—22no—
470C22×C3—22no—
471C22×C3—22no—
472C22×C3—22no—
473C22×C3—22no—
474C22×C3—21no—
475C22×C3—21no—
476C22×C3—21no—
477C22×C3—21no—
478C22×C3—21no—
479C22×C3—21no—
480C22×C3—21no—
481C22×C3—42no—
482C22×C3—42no—
483C22×C3—42no—
484C22×C3—42no—
485C22×C3—42no—
486C22×C3—42no—
487C22×C3—41no—
488C22×C3—41no—
489C22×C3—41no—
490C22×C3—41no—
491C22×C3—41no—
492C22×C3—41no—
493C22×C3—41no—
494C22×C3—41no—
495C22×C3—182no—
496C22×C3—182no—
497C22×C3—182no—
498C22×C3—361no—
499C22×C3—361no—
500C22×C3—361no—
501C22×C3—361no—
502C22×C3C2×C4×D911yescharacteristic
503C22×C3#369711yescharacteristic
504C22×C3D4×D911yescharacteristic
505C22×C3D4×D911yescharacteristic
506C22×C3D4×D911yescharacteristic
507C22×C3#369911yescharacteristic
508C22×C3C2×#61111yescharacteristic
509C22×C3C2×C3×C4×D311yescharacteristic
510C22×C3C3×#23511yescharacteristic
511C22×C3C3×D3×D411yescharacteristic
512C22×C3C3×D3×D411yescharacteristic
513C22×C3C3×D3×D411yescharacteristic
514C22×C3C3×#23711yescharacteristic
515C22×C3C2×C3×#6711yescharacteristic
516C2×D3—62no—
517C2×D3—62no—
518C2×D3—62no—
519C2×D3—121no—
520C2×D3—121no—
521C2×D3—121no—
522C2×D3—121no—
523C3×C4—22no—
524C3×C4—22no—
525C3×C4—42no—
526C3×C4—42no—
527C3×C4—41no—
528C3×C4—41no—
529C3×C4—94no—
530C3×C4—182no—
531C3×C4—361no—
532Dic3—34no—
533Dic3—62no—
534Dic3—121no—
535C32#495711yescharacteristic
536C9—21no—
537C9C3×#39011yescharacteristic, complemented
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—92no—
545C23—181no—
546C23—181no—
547C23—181no—
548C23—181no—
549C23—181no—
550C23—181no—
551C23C3×C4×D912yes—
552C23C22×C3×D911yescharacteristic
553D4—188no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—92no—
560C2×C4—92no—
561C2×C4—92no—
562C2×C4—92no—
563C2×C4—181no—
564C2×C4—181no—
565C2×C4—181no—
566C2×C4—181no—
567C2×C4—181no—
568C2×C4C3×#61112yescomplemented
569C2×C3—21no—
570C2×C3—21no—
571C2×C3—21no—
572C2×C3—21no—
573C2×C3—21no—
574C2×C3—21no—
575C2×C3—21no—
576C2×C3—44no—
577C2×C3—42no—
578C2×C3—42no—
579C2×C3—362no—
580C2×C3C22⋊C4×D911yescharacteristic
581C2×C3#611⋊C411yescharacteristic
582C2×C3#6344611yescharacteristic
583C2×C3#6344711yescharacteristic
584C2×C3C4×#61111yescharacteristic
585C2×C3#6350111yescharacteristic
586C2×C3#6350211yescharacteristic
587C2×C3C3×D3×C22⋊C411yescharacteristic
588C2×C3C3×#67⋊C411yescharacteristic
589C2×C3C3×#88411yescharacteristic
590C2×C3C3×#88511yescharacteristic
591C2×C3C3×C4×#6711yescharacteristic
592C2×C3C3×#93911yescharacteristic
593C2×C3C3×#94011yescharacteristic
594D3—122no—
595C22—22no—
596C22—22no—
597C22—22no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—41no—
602C22—182no—
603C22—182no—
604C22—182no—
605C22—361no—
606C22—361no—
607C22—361no—
608C22—361no—
609C22C2×C3×C4×D911yescharacteristic
610C22C3×#369711yescharacteristic
611C22C3×D4×D911yescharacteristic
612C22C3×D4×D911yescharacteristic
613C22C3×D4×D911yescharacteristic
614C22C3×#369911yescharacteristic
615C22C2×C3×#61111yescharacteristic
616C4—22no—
617C4—41no—
618C4—94no—
619C4—182no—
620C4—361no—
621C3—21no—
622C3#1058863711yescharacteristic, direct product factor
623C3C3×#495711yescharacteristic
624C2—42no—
625C2—362no—
626C2C3×C22⋊C4×D911yescharacteristic
627C2C3×#611⋊C411yescharacteristic
628C2C3×#6344611yescharacteristic
629C2C3×#6344711yescharacteristic
630C2C3×C4×#61111yescharacteristic
631C2C3×#6350111yescharacteristic
632C2C3×#6350211yescharacteristic
subgroupG/H
centerC23×C3C22×D9
commutatorC22×C9C22×C3×C4
FrattiniC23×C3C22×C3×D3
FittingC2×C3×C9×C22⋊C4C2
socleC23×C32C22×D3
prime radicalC22×C3×#611C2
cosocleC23×C9C23×C3
hypercenterC2×C3×C22⋊C4D9
hypocenterC9C3×#390
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C23×C3 ◁ C2×C3×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C3×C9×C22⋊C4C2semidirect
3. C2×C3×#3676C2semidirect
4. C2×C3×(C2×D9)⋊C4C2semidirect
5. C2×C3×(C2×D9)⋊C4C2semidirect
6. C2×C3×Dic9⋊C4C2semidirect
7. C2×C3×C4×Dic9C2semidirect
9. #10588637C3direct (N × H)
16. C2×C3×#611C4semidirect
35. C2×C9×C22⋊C4C2×C3semidirect
36. C2×#3676C2×C3semidirect
37. C2×(C2×D9)⋊C4C2×C3semidirect
38. C2×(C2×D9)⋊C4C2×C3semidirect
39. C2×Dic9⋊C4C2×C3semidirect
40. C2×C4×Dic9C2×C3semidirect
61. C2×C3×C4×C9D4semidirect
71. C2×C3×Dic9D4semidirect
99. C2×#611C3×C4semidirect
135. C3×Dic9C22⋊C4semidirect
143. C2×C3×C22⋊C4D9semidirect
216. C2×C4×C9C3×D4semidirect
226. C2×Dic9C3×D4semidirect
340. Dic9C3×C22⋊C4semidirect
346. C2×C22⋊C4C3×D9semidirect
348. C3×C9#390semidirect
413. C2×C3×C4#611semidirect
537. C9C3×#390semidirect
568. C2×C4C3×#611semidirect
622. C3#10588637direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#6112
C2×C3×C9×C22⋊C42
C2×C3×#36762
C2×C3×(C2×D9)⋊C42
C2×C3×Dic9⋊C42
C2×C3×C4×Dic92
C3×#49573
#105886373