Finite Group Databasebeta

← C3×#10591179 #13158358

Subgroups — C3×#10591179 #13158358

Order 1728.

794 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C3⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
2C32×#930C211yesmaximal, characteristic
3C32×#924C211yesmaximal, characteristic, complemented
4C2×C3×#3715C211yesmaximal, characteristic, complemented
5C3×#63574C211yesmaximal, characteristic, complemented
6C3×#63565C211yesmaximal, characteristic, complemented
7C3×#63562C211yesmaximal, characteristic, complemented
8C3×#5048—31nomaximal
9C3×#5041—31nomaximal
10#10591179C311yesmaximal, characteristic, direct product factor
11C22×C33×C4C2211yescharacteristic
12C2×C32×#67—21no—
13C2×C32×D12C2211yescharacteristic
14C2×C32×Dic6C2211yescharacteristic
15C2×C3×C3⋊(C3⋊C8)—22no—
16C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
17C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
18C32×#217—21no—
19C32×(C2×D3)⋊C4—21no—
20C32×C4⋊Dic3C2211yescharacteristic
21C32×C4⋊Dic3C2211yescharacteristic
22C32×Dic3⋊C4—21no—
23C3×#3715—22no—
24C32×C22⋊Q8—31no—
25C32×#121—31no—
26C22×C3⋊(C3⋊C8)C2×C311yescharacteristic, complemented
27C2×C3×#215—31no—
28C2×C3×#214—31no—
29C3×#930—21no—
30C3×#930D311yescharacteristic
31C3×#930C2×C311yescharacteristic
32C3×#924—21no—
33C3×#924D311yescharacteristic, complemented
34C3×#924C2×C311yescharacteristic, complemented
35C22×C3×C3⋊C8—31no—
36C22×C3×C3⋊C8—31no—
37C22×C3×C3⋊C8—61no—
38C2×#3715C2×C311yescharacteristic, complemented
39C3×#835—31no—
40C3×#832—31no—
41C3×#810—31no—
42C3×#809—31no—
43C3×#808—31no—
44C3×#808—31no—
45#63574C2×C311yescharacteristic, complemented
46#63565C2×C311yescharacteristic, complemented
47#63562C2×C311yescharacteristic, complemented
48C23×C33D411yescharacteristic
49C22×C32×D3—21no—
50C2×C33×C4—21no—
51C2×C33×C4—21no—
52C2×C33×C4D411yescharacteristic
53C2×C33×C4C2311yescharacteristic
54C32×#67—42no—
55C2×C32×Dic3—21no—
56C2×C32×Dic3—21no—
57C2×C32×Dic3—21no—
58C32×D12—21no—
59C32×D12—21no—
60C32×Dic6—21no—
61C32×Dic6—21no—
62C3×C3⋊(C3⋊C8)—21no—
63C3×C3⋊(C3⋊C8)D412yescomplemented
64C3×#465—91no—
65#5048—31no—
66#5041—31no—
67C2×C32×Q8—31no—
68C2×C32×D4—31no—
69C2×C32×D4—61no—
70C22×C32×C4—21no—
71C22×C32×C4—21no—
72C22×C32×C4—21no—
73C22×C32×C4—41no—
74C22×C32×C4C2×D311yescharacteristic
75C22×C32×C4C2×D311yescharacteristic
76C22×C32×C4C22×C311yescharacteristic
77C2×C3×#67—22no—
78C2×C3×#67—21no—
79C2×C3×#67—21no—
80C2×C3×D12—21no—
81C2×C3×D12C2×D311yescharacteristic
82C2×C3×D12C22×C311yescharacteristic
83C2×C3×Dic6—21no—
84C2×C3×Dic6C2×D311yescharacteristic
85C2×C3×Dic6C22×C311yescharacteristic
86C32×C4⋊C4—31no—
87C32×C4⋊C4—31no—
88C32×C4⋊C4—61no—
89C32×C22⋊C4—61no—
90C32×C22⋊C4—61no—
91C2×C3⋊(C3⋊C8)—22no—
92C2×C3⋊(C3⋊C8)C22×C311yescharacteristic
93C2×C3⋊(C3⋊C8)C22×C311yescharacteristic
94C3×#217—22no—
95C3×#217—21no—
96C3×#217—21no—
97C3×#215—62no—
98C3×#214—62no—
99C3×(C2×D3)⋊C4—22no—
100C3×(C2×D3)⋊C4—21no—
101C3×(C2×D3)⋊C4—21no—
102C3×C4⋊Dic3—21no—
103C3×C4⋊Dic3—21no—
104C3×C4⋊Dic3C2×D311yescharacteristic
105C3×C4⋊Dic3C2×D311yescharacteristic
106C3×C4⋊Dic3C22×C311yescharacteristic
107C3×C4⋊Dic3C22×C311yescharacteristic
108C3×Dic3⋊C4—22no—
109C3×Dic3⋊C4—21no—
110C3×Dic3⋊C4—21no—
111C2×C3×C3⋊C8—31no—
112C2×C3×C3⋊C8—31no—
113C2×C3×C3⋊C8—31no—
114C2×C3×C3⋊C8—31no—
115C2×C3×C3⋊C8—62no—
116C2×C3×C3⋊C8—62no—
117C2×C3×C3⋊C8—61no—
118C2×C3×C3⋊C8—61no—
119C2×C3×C3⋊C8—64no—
120#3715—22no—
121C22×C33—21no—
122C22×C33—21no—
123C22×C33SD1612yescomplemented
124C22×C33C2×D411yescharacteristic
125C2×C32×D3—41no—
126C2×C32×D3—41no—
127C2×C32×D3—41no—
128C33×C4—21no—
129C33×C4C2×D411yescharacteristic
130C33×C4#4111yescharacteristic
131C32×Dic3—41no—
132C32×Dic3—41no—
133C32×Dic3—41no—
134C2×C3×SD16—91no—
135C22×C3×C8—91no—
136C3×C22⋊Q8—31no—
137C3×C22⋊Q8—31no—
138C3×C22⋊Q8—61no—
139C3×#121—31no—
140C3×#121—31no—
141C3×#121—61no—
142C2×#215—31no—
143C2×#214—31no—
144#930C3×D311yescharacteristic
145#924C3×D311yescharacteristic, complemented
146C22×C3⋊C8—31no—
147C22×C3⋊C8—31no—
148C22×C3⋊C8—61no—
149C3×#106—91no—
150C3×#103—91no—
151C3×#102—91no—
152#835—31no—
153#832—31no—
154#810—31no—
155#809—31no—
156#808—31no—
157#808—31no—
158C23×C32—21no—
159C23×C32—21no—
160C23×C32—21no—
161C23×C32—41no—
162C23×C32—61no—
163C23×C32#6711yescharacteristic
164C23×C32#6711yescharacteristic
165C23×C32C3×D411yescharacteristic
166C22×C3×D3—22no—
167C22×C3×D3—21no—
168C22×C3×D3—21no—
169C32×Q8—61no—
170C32×Q8—61no—
171C32×D4—61no—
172C32×D4—61no—
173C32×D4—122no—
174C2×C32×C4—21no—
175C2×C32×C4—21no—
176C2×C32×C4—22no—
177C2×C32×C4—22no—
178C2×C32×C4—21no—
179C2×C32×C4—21no—
180C2×C32×C4—21no—
181C2×C32×C4—21no—
182C2×C32×C4—21no—
183C2×C32×C4—21no—
184C2×C32×C4—21no—
185C2×C32×C4—21no—
186C2×C32×C4—21no—
187C2×C32×C4—21no—
188C2×C32×C4—41no—
189C2×C32×C4—41no—
190C2×C32×C4—41no—
191C2×C32×C4—41no—
192C2×C32×C4—41no—
193C2×C32×C4—41no—
194C2×C32×C4—42no—
195C2×C32×C4—42no—
196C2×C32×C4—61no—
197C2×C32×C4—61no—
198C2×C32×C4—61no—
199C2×C32×C4#6711yescharacteristic
200C2×C32×C4#6711yescharacteristic
201C2×C32×C4C3×D411yescharacteristic
202C2×C32×C4C22×D311yescharacteristic
203C2×C32×C4C22×D311yescharacteristic
204C2×C32×C4C23×C311yescharacteristic
205C3×#67—44no—
206C3×#67—42no—
207C3×#67—42no—
208C2×C3×Dic3—22no—
209C2×C3×Dic3—22no—
210C2×C3×Dic3—22no—
211C2×C3×Dic3—21no—
212C2×C3×Dic3—21no—
213C2×C3×Dic3—21no—
214C2×C3×Dic3—21no—
215C2×C3×Dic3—21no—
216C2×C3×Dic3—21no—
217C3×D12—21no—
218C3×D12—21no—
219C3×D12—21no—
220C3×D12—21no—
221C3×D12—41no—
222C3×D12—41no—
223C3×Dic6—21no—
224C3×Dic6—21no—
225C3×Dic6—21no—
226C3×Dic6—21no—
227C3×Dic6—41no—
228C3×Dic6—41no—
229C3⋊(C3⋊C8)—21no—
230C3⋊(C3⋊C8)C3×D412yescomplemented
231C3×C3⋊C8—32no—
232C3×C3⋊C8—32no—
233C3×C3⋊C8—62no—
234C3×C3⋊C8—62no—
235C3×C3⋊C8—61no—
236C3×C3⋊C8—61no—
237#465—91noSylow
238C2×C33—22no—
239C2×C33#12111yescharacteristic
240C2×C33C2×SD1611yescharacteristic
241C2×C33#13511yescharacteristic
242C32×D3—81no—
243C2×C3×Q8—31no—
244C2×C3×Q8—31no—
245C2×C3×Q8—61no—
246C2×C3×D4—31no—
247C2×C3×D4—31no—
248C2×C3×D4—61no—
249C2×C3×D4—62no—
250C2×C3×D4—61no—
251C2×C3×D4—61no—
252C22×C3×C4—21no—
253C22×C3×C4—21no—
254C22×C3×C4—21no—
255C22×C3×C4—41no—
256C22×C3×C4D3211yescharacteristic
257C22×C3×C4C2×C3×D311yescharacteristic
258C22×C3×C4C2×C3×D311yescharacteristic
259C2×#67—21no—
260C2×D12C2×C3×D311yescharacteristic
261C2×Dic6C2×C3×D311yescharacteristic
262C3×SD16—182no—
263C2×C3×C8—91no—
264C2×C3×C8—91no—
265C2×C3×C8—182no—
266C3×C4⋊C4—31no—
267C3×C4⋊C4—31no—
268C3×C4⋊C4—31no—
269C3×C4⋊C4—31no—
270C3×C4⋊C4—61no—
271C3×C4⋊C4—61no—
272C3×C4⋊C4—62no—
273C3×C4⋊C4—61no—
274C3×C4⋊C4—61no—
275C3×C22⋊C4—62no—
276C3×C22⋊C4—62no—
277C3×C22⋊C4—61no—
278C3×C22⋊C4—61no—
279C3×C22⋊C4—61no—
280C3×C22⋊C4—61no—
281#217—21no—
282#215—62no—
283#214—62no—
284(C2×D3)⋊C4—21no—
285C4⋊Dic3C2×C3×D311yescharacteristic
286C4⋊Dic3C2×C3×D311yescharacteristic
287Dic3⋊C4—21no—
288C2×C3⋊C8—31no—
289C2×C3⋊C8—31no—
290C2×C3⋊C8—31no—
291C2×C3⋊C8—31no—
292C2×C3⋊C8—61no—
293C2×C3⋊C8—61no—
294C2×C3⋊C8—62no—
295C2×C3⋊C8—62no—
296C2×C3⋊C8—64no—
297C22×C32—21no—
298C22×C32—21no—
299C22×C32—22no—
300C22×C32—22no—
301C22×C32—21no—
302C22×C32—21no—
303C22×C32—21no—
304C22×C32—21no—
305C22×C32—22no—
306C22×C32—22no—
307C22×C32—22no—
308C22×C32—21no—
309C22×C32—21no—
310C22×C32—21no—
311C22×C32—42no—
312C22×C32—41no—
313C22×C32—41no—
314C22×C32—41no—
315C22×C32—41no—
316C22×C32—41no—
317C22×C32—42no—
318C22×C32—42no—
319C22×C32—121no—
320C22×C32—121no—
321C22×C32—121no—
322C22×C32#21412yescomplemented
323C22×C32#21512yescomplemented
324C22×C32C3×SD1612yescomplemented
325C22×C32C2×#6711yescharacteristic
326C22×C32C2×#6711yescharacteristic
327C22×C32C2×C3×D411yescharacteristic
328C2×C3×D3—42no—
329C2×C3×D3—42no—
330C2×C3×D3—42no—
331C2×C3×D3—41no—
332C2×C3×D3—41no—
333C2×C3×D3—41no—
334C2×C3×D3—41no—
335C2×C3×D3—41no—
336C2×C3×D3—41no—
337C32×C4—21no—
338C32×C4—22no—
339C32×C4—21no—
340C32×C4—21no—
341C32×C4—21no—
342C32×C4—21no—
343C32×C4—21no—
344C32×C4—21no—
345C32×C4—21no—
346C32×C4—21no—
347C32×C4—41no—
348C32×C4—41no—
349C32×C4—41no—
350C32×C4—41no—
351C32×C4—42no—
352C32×C4—121no—
353C32×C4—121no—
354C32×C4—121no—
355C32×C4D3×D411yescharacteristic
356C32×C4D3×D411yescharacteristic
357C32×C4#23711yescharacteristic
358C32×C4#23711yescharacteristic
359C32×C4C2×C3×D411yescharacteristic
360C32×C4C3×#4111yescharacteristic
361C3×Dic3—42no—
362C3×Dic3—42no—
363C3×Dic3—42no—
364C3×Dic3—41no—
365C3×Dic3—41no—
366C3×Dic3—41no—
367C3×Dic3—41no—
368C3×Dic3—41no—
369C3×Dic3—41no—
370C2×SD16—91no—
371C22×C8—91no—
372C22⋊Q8—31no—
373#121—31no—
374#106—91no—
375#103—91no—
376#102—91no—
377C33#46511yescharacteristic, complemented, Sylow
378C23×C3—21no—
379C23×C3—21no—
380C23×C3—21no—
381C23×C3—41no—
382C23×C3—62no—
383C23×C3—61no—
384C23×C3—61no—
385C23×C3#62511yescharacteristic
386C23×C3C3×#6711yescharacteristic
387C23×C3C3×#6711yescharacteristic
388C22×D3—21no—
389C3×Q8—61no—
390C3×Q8—61no—
391C3×Q8—61no—
392C3×Q8—61no—
393C3×Q8—121no—
394C3×Q8—121no—
395C3×D4—61no—
396C3×D4—61no—
397C3×D4—61no—
398C3×D4—61no—
399C3×D4—121no—
400C3×D4—121no—
401C3×D4—124no—
402C3×D4—122no—
403C3×D4—122no—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—21no—
407C2×C3×C4—21no—
408C2×C3×C4—21no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—41no—
419C2×C3×C4—41no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4—42no—
423C2×C3×C4—42no—
424C2×C3×C4—41no—
425C2×C3×C4—41no—
426C2×C3×C4—62no—
427C2×C3×C4—62no—
428C2×C3×C4—62no—
429C2×C3×C4—61no—
430C2×C3×C4—61no—
431C2×C3×C4—61no—
432C2×C3×C4—61no—
433C2×C3×C4—61no—
434C2×C3×C4—61no—
435C2×C3×C4#62511yescharacteristic
436C2×C3×C4C3×#6711yescharacteristic
437C2×C3×C4C3×#6711yescharacteristic
438C2×C3×C4C2×D3211yescharacteristic
439C2×C3×C4C22×C3×D311yescharacteristic
440C2×C3×C4C22×C3×D311yescharacteristic
441#67—42no—
442C2×Dic3—21no—
443C2×Dic3—21no—
444C2×Dic3—21no—
445D12—21no—
446D12—21no—
447Dic6—21no—
448Dic6—21no—
449C3×C8—92no—
450C3×C8—181no—
451C3⋊C8—32no—
452C3⋊C8—32no—
453C3⋊C8—62no—
454C3⋊C8—62no—
455C3⋊C8—61no—
456C3⋊C8—61no—
457C2×C32—22no—
458C2×C32—24no—
459C2×C32—22no—
460C2×C32—22no—
461C2×C32—21no—
462C2×C32—21no—
463C2×C32—21no—
464C2×C32—21no—
465C2×C32—21no—
466C2×C32—21no—
467C2×C32—21no—
468C2×C32—21no—
469C2×C32—21no—
470C2×C32—41no—
471C2×C32—41no—
472C2×C32—41no—
473C2×C32—42no—
474C2×C32—42no—
475C2×C32—44no—
476C2×C32—241no—
477C2×C32C2×#21411yescharacteristic
478C2×C32#93911yescharacteristic
479C2×C32#93911yescharacteristic
480C2×C32C2×#21511yescharacteristic
481C2×C32#95011yescharacteristic
482C2×C32#95011yescharacteristic
483C2×C32C3×#12111yescharacteristic
484C2×C32C2×C3×SD1611yescharacteristic
485C2×C32C3×#13511yescharacteristic
486C3×D3—82no—
487C3×D3—81no—
488C3×D3—81no—
489C2×Q8—31no—
490C2×D4—31no—
491C2×D4—61no—
492C22×C4C3×D3211yescharacteristic
493SD16—182no—
494C2×C8—91no—
495C2×C8—91no—
496C2×C8—182no—
497C4⋊C4—31no—
498C4⋊C4—31no—
499C4⋊C4—61no—
500C22⋊C4—61no—
501C22⋊C4—61no—
502C22×C3—22no—
503C22×C3—22no—
504C22×C3—21no—
505C22×C3—21no—
506C22×C3—21no—
507C22×C3—21no—
508C22×C3—21no—
509C22×C3—21no—
510C22×C3—21no—
511C22×C3—21no—
512C22×C3—21no—
513C22×C3—22no—
514C22×C3—22no—
515C22×C3—22no—
516C22×C3—41no—
517C22×C3—41no—
518C22×C3—41no—
519C22×C3—41no—
520C22×C3—42no—
521C22×C3—42no—
522C22×C3—41no—
523C22×C3—42no—
524C22×C3—122no—
525C22×C3—122no—
526C22×C3—122no—
527C22×C3—121no—
528C22×C3—121no—
529C22×C3—121no—
530C22×C3—121no—
531C22×C3—121no—
532C22×C3—121no—
533C22×C3#371512yescomplemented
534C22×C3C3×#21412yescomplemented
535C22×C3C3×#21512yescomplemented
536C22×C3C2×#62511yescharacteristic
537C22×C3C2×C3×#6711yescharacteristic
538C22×C3C2×C3×#6711yescharacteristic
539C2×D3—41no—
540C2×D3—41no—
541C2×D3—41no—
542C3×C4—22no—
543C3×C4—21no—
544C3×C4—21no—
545C3×C4—21no—
546C3×C4—21no—
547C3×C4—21no—
548C3×C4—21no—
549C3×C4—21no—
550C3×C4—21no—
551C3×C4—21no—
552C3×C4—41no—
553C3×C4—41no—
554C3×C4—42no—
555C3×C4—41no—
556C3×C4—41no—
557C3×C4—122no—
558C3×C4—122no—
559C3×C4—122no—
560C3×C4—121no—
561C3×C4—121no—
562C3×C4—121no—
563C3×C4—121no—
564C3×C4—121no—
565C3×C4—121no—
566C3×C4#380511yescharacteristic
567C3×C4#381111yescharacteristic
568C3×C4C3×D3×D411yescharacteristic
569C3×C4C3×D3×D411yescharacteristic
570C3×C4C3×#23711yescharacteristic
571C3×C4C3×#23711yescharacteristic
572Dic3—41no—
573Dic3—41no—
574Dic3—41no—
575C32—21no—
576C32—21no—
577C32—21no—
578C32—41no—
579C32#504111yescharacteristic, complemented
580C32#504811yescharacteristic, complemented
581C32C3×#46511yescharacteristic, complemented
582C23—61no—
583C23C3×#62511yescharacteristic
584Q8—61no—
585Q8—61no—
586D4—61no—
587D4—61no—
588D4—122no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—61no—
592C2×C4—61no—
593C2×C4—61no—
594C2×C4C3×#62511yescharacteristic
595C2×C4C2×C3×D3211yescharacteristic
596C8—92no—
597C8—181no—
598C2×C3—24no—
599C2×C3—22no—
600C2×C3—22no—
601C2×C3—22no—
602C2×C3—21no—
603C2×C3—21no—
604C2×C3—21no—
605C2×C3—21no—
606C2×C3—21no—
607C2×C3—21no—
608C2×C3—21no—
609C2×C3—21no—
610C2×C3—21no—
611C2×C3—42no—
612C2×C3—42no—
613C2×C3—44no—
614C2×C3—41no—
615C2×C3—41no—
616C2×C3—41no—
617C2×C3—242no—
618C2×C3—241no—
619C2×C3—241no—
620C2×C3#6382211yescharacteristic
621C2×C3C2×#371511yescharacteristic
622C2×C3#6398011yescharacteristic
623C2×C3C2×C3×#21411yescharacteristic
624C2×C3C3×#93911yescharacteristic
625C2×C3C3×#93911yescharacteristic
626C2×C3C2×C3×#21511yescharacteristic
627C2×C3C3×#95011yescharacteristic
628C2×C3C3×#95011yescharacteristic
629D3—81no—
630C22—21no—
631C22—21no—
632C22—121no—
633C22—121no—
634C22—121no—
635C22C3×#371512yescomplemented
636C22C2×C3×#62511yescharacteristic
637C4—21no—
638C4—121no—
639C4—121no—
640C4—121no—
641C4C3×#380511yescharacteristic
642C4C3×#381111yescharacteristic
643C3—21no—
644C3—21no—
645C3—21no—
646C3—41no—
647C3#1059117911yescharacteristic, direct product factor
648C3C3×#504111yescharacteristic, complemented
649C3C3×#504811yescharacteristic, complemented
650C2—22no—
651C2—241no—
652C2C3×#6382211yescharacteristic
653C2C2×C3×#371511yescharacteristic
654C2C3×#6398011yescharacteristic
subgroupG/H
centerC22×C3C2×#625
commutator, cosocleC2×C32×C4C23×C3
FrattiniC2×C4C2×C3×D32
FittingC22×C33×C4C22
socleC22×C33C2×D4
prime radicalC32×#930C2
hypercenterC22×C3×C4D32
hypocenterC32C3×#465
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
1. C22×C3×C3⋊(C3⋊C8)C2semidirect
3. C32×#924C2semidirect
4. C2×C3×#3715C2semidirect
5. C3×#63574C2semidirect
6. C3×#63565C2semidirect
7. C3×#63562C2semidirect
10. #10591179C3direct (N × H)
26. C22×C3⋊(C3⋊C8)C2×C3semidirect
33. C3×#924D3semidirect
34. C3×#924C2×C3semidirect
38. C2×#3715C2×C3semidirect
45. #63574C2×C3semidirect
46. #63565C2×C3semidirect
47. #63562C2×C3semidirect
63. C3×C3⋊(C3⋊C8)D4semidirect
123. C22×C33SD16semidirect
145. #924C3×D3semidirect
230. C3⋊(C3⋊C8)C3×D4semidirect
322. C22×C32#214semidirect
323. C22×C32#215semidirect
324. C22×C32C3×SD16semidirect
377. C33#465semidirect
533. C22×C3#3715semidirect
534. C22×C3C3×#214semidirect
535. C22×C3C3×#215semidirect
579. C32#5041semidirect
580. C32#5048semidirect
581. C32C3×#465semidirect
635. C22C3×#3715semidirect
647. C3#10591179direct (N × H)
648. C3C3×#5041semidirect
649. C3C3×#5048semidirect

Maximal subgroups

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

subgroupindex
C22×C3×C3⋊(C3⋊C8)2
C32×#9302
C32×#9242
C2×C3×#37152
C3×#635742
C3×#635652
C3×#635622
C3×#50483
C3×#50413
#105911793