Finite Group Databasebeta

← C3×#10590967 #13157805

Subgroups — C3×#10590967 #13157805

Order 1728.

838 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3799C211yesmaximal, characteristic, complemented
2C2×C3×#3745C211yesmaximal, characteristic, complemented
3C3×#63909C211yesmaximal, characteristic, complemented
4C2×C3×#3717C211yesmaximal, characteristic, complemented
5C32×(C2×D3)⋊C8C211yesmaximal, characteristic, complemented
6C32×#816C211yesmaximal, characteristic, complemented
7C3×#63564C211yesmaximal, characteristic, complemented
8C3×#4810—31nomaximal
9C3×#4734—31nomaximal
10#10590967C311yesmaximal, characteristic, direct product factor
11C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
12C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
13C2×C32×C4×D3C2211yescharacteristic
14C2×C32×Dic6C2211yescharacteristic
15C2×C3×#626—21no—
16C2×C3×#626—21no—
17C2×C3×#624—21no—
18C3×#3799—22no—
19C3×#3799—22no—
20C2×C33×C8C2211yescharacteristic
21C3×#3745—22no—
22C32×C4⋊Dic3C2211yescharacteristic
23C2×C32×C3⋊C8C2211yescharacteristic
24C3×#3722—21no—
25C3×#3717—22no—
26C2×C3×#239—31no—
27C2×C3×#235—31no—
28C2×#3799C2×C311yescharacteristic, complemented
29C2×#3745C2×C311yescharacteristic, complemented
30C2×C3×#215—31no—
31C3×#930—31no—
32C2×C3×D24—31no—
33C2×C3×D24—31no—
34C2×C3×D24—61no—
35C2×C3×#204—31no—
36C3×#895—31no—
37#63909C2×C311yescharacteristic, complemented
38C2×#3717C2×C311yescharacteristic, complemented
39C32×#103—31no—
40C32×C22⋊C8—31no—
41C3×#821—31no—
42C3×(C2×D3)⋊C8—21no—
43C3×(C2×D3)⋊C8D311yescharacteristic, complemented
44C3×(C2×D3)⋊C8C2×C311yescharacteristic, complemented
45C3×#816—21no—
46C3×#816D311yescharacteristic, complemented
47C3×#816C2×C311yescharacteristic, complemented
48C3×#809—31no—
49#63564C2×C311yescharacteristic, complemented
50C22×C3×C3⋊D3—21no—
51C22×C3×C3⋊D3—21no—
52C22×C32×D3D411yescharacteristic
53C2×C33×C4C2311yescharacteristic
54C3×C4⋊(C3⋊D3)—21no—
55C3×C4⋊(C3⋊D3)—21no—
56C3×C4⋊(C3⋊D3)—21no—
57C3×C4⋊(C3⋊D3)D412yescomplemented
58C2×C32×Dic3—21no—
59C2×C32×Dic3—21no—
60C2×C32×Dic3D411yescharacteristic
61C32×C4×D3—21no—
62C32×C4×D3—21no—
63C32×Dic6—21no—
64C32×Dic6D412yescomplemented
65C3×#626—24no—
66C3×#626—42no—
67C3×#624—24no—
68C33×C8—21no—
69C32×C3⋊C8—21no—
70C3×#449—91no—
71#4810—31no—
72#4734—31no—
73C2×C32×Q8—31no—
74C22×C32×C4—31no—
75C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
76C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
77C2×C3×#67—61no—
78C2×C3×#67—61no—
79C3×#239—62no—
80C3×#239—62no—
81C3×#235—62no—
82C3×#235—62no—
83C2×C3×D12—31no—
84C2×C3×D12—31no—
85C2×C3×D12—31no—
86C2×C3×D12—31no—
87C2×C3×D12—61no—
88C2×C3×D12—61no—
89C2×C3×D12—61no—
90C2×C3×D12—61no—
91C2×C3×C4×D3—21no—
92C2×C3×C4×D3—61no—
93C2×C3×C4×D3—61no—
94C2×C3×C4×D3C2×D311yescharacteristic
95C2×C3×C4×D3C22×C311yescharacteristic
96C2×C3×Dic6—21no—
97C2×C3×Dic6C2×D311yescharacteristic
98C2×C3×Dic6C22×C311yescharacteristic
99C2×#626—21no—
100C2×#626—21no—
101C2×#624—21no—
102#3799—22no—
103#3799—22no—
104C2×C32×C8—21no—
105C2×C32×C8—21no—
106C2×C32×C8—21no—
107C2×C32×C8—31no—
108C2×C32×C8—41no—
109C2×C32×C8C2×D311yescharacteristic
110C2×C32×C8C2×D311yescharacteristic
111C2×C32×C8C22×C311yescharacteristic
112C32×C4⋊C4—31no—
113#3745—22no—
114C3×#215—62no—
115C3×(C2×D3)⋊C4—61no—
116C3×(C2×D3)⋊C4—61no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3C2×D311yescharacteristic
119C3×C4⋊Dic3C22×C311yescharacteristic
120C2×C3×C3⋊C8—21no—
121C2×C3×C3⋊C8C2×D311yescharacteristic
122C2×C3×C3⋊C8C22×C311yescharacteristic
123C3×D24—62no—
124C3×D24—62no—
125C3×D24—64no—
126C3×#204—62no—
127#3722—21no—
128#3717—22no—
129C22×C33C2×D411yescharacteristic
130C2×C3×C3⋊D3—22no—
131C2×C3×C3⋊D3—41no—
132C2×C3×C3⋊D3—41no—
133C2×C3×C3⋊D3—41no—
134C2×C3×C3⋊D3—41no—
135C2×C3×C3⋊D3—41no—
136C2×C32×D3—21no—
137C2×C32×D3—21no—
138C2×C32×D3—21no—
139C33×C4C2×D411yescharacteristic
140C33×C4C2×D411yescharacteristic
141C32×Dic3—21no—
142C32×Dic3—22no—
143C32×Dic3—41no—
144C2×C3×#41—91no—
145C2×#239—31no—
146C2×#235—31no—
147C2×C3×SD16—91no—
148C2×C3×D8—91no—
149C3×#121—91no—
150C2×#215—31no—
151#930—31no—
152C2×D24—31no—
153C2×D24—31no—
154C2×D24—61no—
155C2×#204—31no—
156#895—31no—
157C3×#103—31no—
158C3×#103—31no—
159C3×#103—61no—
160C3×#102—91no—
161C3×C22⋊C8—31no—
162C3×C22⋊C8—31no—
163C3×C22⋊C8—61no—
164#821—31no—
165(C2×D3)⋊C8C3×D311yescharacteristic, complemented
166#816C3×D311yescharacteristic, complemented
167#809—31no—
168C23×C32—31no—
169C22×C3⋊D3—21no—
170C22×C3⋊D3—21no—
171C22×C3×D3—21no—
172C22×C3×D3—61no—
173C22×C3×D3—61no—
174C22×C3×D3—61no—
175C22×C3×D3—61no—
176C22×C3×D3—121no—
177C22×C3×D3—121no—
178C22×C3×D3D1211yescharacteristic
179C22×C3×D3C3×D411yescharacteristic
180C32×Q8—32no—
181C32×Q8—61no—
182C2×C32×C4—21no—
183C2×C32×C4—21no—
184C2×C32×C4—21no—
185C2×C32×C4—31no—
186C2×C32×C4—41no—
187C2×C32×C4—61no—
188C2×C32×C4—61no—
189C2×C32×C4—61no—
190C2×C32×C4—61no—
191C2×C32×C4C22×D311yescharacteristic
192C2×C32×C4C22×D311yescharacteristic
193C2×C32×C4C23×C311yescharacteristic
194C4⋊(C3⋊D3)—21no—
195C4⋊(C3⋊D3)—21no—
196C4⋊(C3⋊D3)—21no—
197C4⋊(C3⋊D3)C3×D412yescomplemented
198C3×#67—64no—
199C3×#67—122no—
200C2×C3×Dic3—21no—
201C2×C3×Dic3—21no—
202C2×C3×Dic3—21no—
203C2×C3×Dic3—21no—
204C2×C3×Dic3—21no—
205C2×C3×Dic3—41no—
206C2×C3×Dic3—41no—
207C2×C3×Dic3D1211yescharacteristic
208C2×C3×Dic3C3×D411yescharacteristic
209C3×D12—32no—
210C3×D12—32no—
211C3×D12—62no—
212C3×D12—62no—
213C3×D12—64no—
214C3×D12—61no—
215C3×D12—61no—
216C3×D12—61no—
217C3×D12—61no—
218C3×D12—61no—
219C3×D12—61no—
220C3×D12—121no—
221C3×D12—121no—
222C3×D12—122no—
223C3×C4×D3—21no—
224C3×C4×D3—21no—
225C3×C4×D3—21no—
226C3×C4×D3—21no—
227C3×C4×D3—41no—
228C3×C4×D3—41no—
229C3×C4×D3—64no—
230C3×C4×D3—64no—
231C3×Dic6—21no—
232C3×Dic6—21no—
233C3×Dic6—22no—
234C3×Dic6—41no—
235C3×Dic6D1212yescomplemented
236C3×Dic6C3×D412yescomplemented
237#626—24no—
238#626—42no—
239#624—24no—
240C32×C8—21no—
241C32×C8—22no—
242C32×C8—21no—
243C32×C8—21no—
244C32×C8—41no—
245C32×C8—41no—
246C32×C8—42no—
247C32×C8—61no—
248C3×C3⋊C8—21no—
249C3×C3⋊C8—21no—
250C3×C3⋊C8—41no—
251#449—91noSylow
252C2×C33#12011yescharacteristic
253C2×C33#13511yescharacteristic
254C2×C33AGL(1,ℤ/8)11yescharacteristic
255C3×C3⋊D3—42no—
256C3×C3⋊D3—81no—
257C32×D3—41no—
258C3×#41—182no—
259C3×#41—182no—
260C2×C3×Q8—31no—
261C2×C3×Q8—31no—
262C2×C3×Q8—61no—
263C2×C3×D4—91no—
264C2×C3×D4—91no—
265C2×C3×D4—181no—
266C2×C3×D4—181no—
267C22×C3×C4—31no—
268C22×C3×C4—31no—
269C22×C3×C4—61no—
270C22×C3×C4—181no—
271C2×#67—61no—
272C2×#67—61no—
273#239—62no—
274#239—62no—
275#235—62no—
276#235—62no—
277C2×D12—31no—
278C2×D12—31no—
279C2×D12—31no—
280C2×D12—31no—
281C2×D12—61no—
282C2×D12—61no—
283C2×D12—61no—
284C2×D12—61no—
285C2×C4×D3—61no—
286C2×C4×D3—61no—
287C2×C4×D3C2×C3×D311yescharacteristic
288C2×Dic6C2×C3×D311yescharacteristic
289C3×SD16—182no—
290C3×D8—182no—
291C2×C3×C8—21no—
292C2×C3×C8—21no—
293C2×C3×C8—21no—
294C2×C3×C8—31no—
295C2×C3×C8—31no—
296C2×C3×C8—41no—
297C2×C3×C8—61no—
298C2×C3×C8D3211yescharacteristic
299C2×C3×C8C2×C3×D311yescharacteristic
300C2×C3×C8C2×C3×D311yescharacteristic
301C3×C4⋊C4—31no—
302C3×C4⋊C4—31no—
303C3×C4⋊C4—61no—
304C3×C22⋊C4—181no—
305#215—62no—
306(C2×D3)⋊C4—61no—
307(C2×D3)⋊C4—61no—
308C4⋊Dic3C2×C3×D311yescharacteristic
309C2×C3⋊C8C2×C3×D311yescharacteristic
310D24—62no—
311D24—62no—
312D24—64no—
313#204—62no—
314C22×C32—21no—
315C22×C32—21no—
316C22×C32—21no—
317C22×C32—41no—
318C22×C32—61no—
319C22×C32—61no—
320C22×C32—61no—
321C22×C32C2×D1211yescharacteristic
322C22×C32D3×D411yescharacteristic
323C22×C32C2×C3×D411yescharacteristic
324C2×C3⋊D3—22no—
325C2×C3⋊D3—41no—
326C2×C3⋊D3—41no—
327C2×C3⋊D3—41no—
328C2×C3⋊D3—41no—
329C2×C3⋊D3—41no—
330C2×C3×D3—22no—
331C2×C3×D3—21no—
332C2×C3×D3—21no—
333C2×C3×D3—21no—
334C2×C3×D3—21no—
335C2×C3×D3—21no—
336C2×C3×D3—21no—
337C2×C3×D3—41no—
338C2×C3×D3—41no—
339C2×C3×D3—62no—
340C2×C3×D3—62no—
341C2×C3×D3—122no—
342C2×C3×D3—121no—
343C2×C3×D3—121no—
344C2×C3×D3—121no—
345C2×C3×D3—121no—
346C2×C3×D3—122no—
347C2×C3×D3—121no—
348C2×C3×D3—121no—
349C2×C3×D3—121no—
350C2×C3×D3—121no—
351C2×C3×D3—121no—
352C2×C3×D3—121no—
353C2×C3×D3—241no—
354C2×C3×D3—241no—
355C2×C3×D3—241no—
356C2×C3×D3—241no—
357C32×C4—21no—
358C32×C4—21no—
359C32×C4—21no—
360C32×C4—21no—
361C32×C4—21no—
362C32×C4—21no—
363C32×C4—41no—
364C32×C4—41no—
365C32×C4—61no—
366C32×C4—62no—
367C32×C4—121no—
368C32×C4C2×D1211yescharacteristic
369C32×C4D3×D411yescharacteristic
370C32×C4D3×D411yescharacteristic
371C32×C4D3×D411yescharacteristic
372C32×C4C2×C3×D411yescharacteristic
373C32×C4C2×C3×D411yescharacteristic
374C3×Dic3—22no—
375C3×Dic3—21no—
376C3×Dic3—21no—
377C3×Dic3—22no—
378C3×Dic3—42no—
379C3×Dic3—41no—
380C3×Dic3—41no—
381C3×Dic3—41no—
382C3×Dic3—81no—
383C2×#41—91no—
384C2×SD16—91no—
385C2×D8—91no—
386#121—91no—
387#103—31no—
388#102—91no—
389C22⋊C8—31no—
390C33#44911yescharacteristic, complemented, Sylow
391C23×C3—31no—
392C23×C3—31no—
393C23×C3—61no—
394C23×C3—181no—
395C23×C3—181no—
396C22×D3—61no—
397C22×D3—61no—
398C22×D3—61no—
399C22×D3—61no—
400C22×D3—121no—
401C22×D3—121no—
402C22×D3C3×D1211yescharacteristic
403C3×Q8—32no—
404C3×Q8—32no—
405C3×Q8—62no—
406C3×Q8—61no—
407C3×Q8—61no—
408C3×Q8—121no—
409C3×D4—92no—
410C3×D4—184no—
411C3×D4—181no—
412C3×D4—181no—
413C3×D4—181no—
414C3×D4—362no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—31no—
419C2×C3×C4—31no—
420C2×C3×C4—41no—
421C2×C3×C4—61no—
422C2×C3×C4—61no—
423C2×C3×C4—61no—
424C2×C3×C4—61no—
425C2×C3×C4—61no—
426C2×C3×C4—61no—
427C2×C3×C4—61no—
428C2×C3×C4—61no—
429C2×C3×C4—61no—
430C2×C3×C4—121no—
431C2×C3×C4—121no—
432C2×C3×C4—121no—
433C2×C3×C4—121no—
434C2×C3×C4—184no—
435C2×C3×C4C2×D3211yescharacteristic
436C2×C3×C4C22×C3×D311yescharacteristic
437C2×C3×C4C22×C3×D311yescharacteristic
438#67—64no—
439#67—122no—
440C2×Dic3—21no—
441C2×Dic3—21no—
442C2×Dic3C3×D1211yescharacteristic
443D12—32no—
444D12—32no—
445D12—62no—
446D12—62no—
447D12—64no—
448D12—61no—
449D12—61no—
450D12—61no—
451D12—61no—
452D12—61no—
453D12—61no—
454D12—121no—
455D12—121no—
456D12—122no—
457C4×D3—21no—
458C4×D3—21no—
459C4×D3—64no—
460C4×D3—64no—
461Dic6—21no—
462Dic6C3×D1212yescomplemented
463C3×C8—22no—
464C3×C8—21no—
465C3×C8—21no—
466C3×C8—21no—
467C3×C8—41no—
468C3×C8—41no—
469C3×C8—42no—
470C3×C8—61no—
471C3×C8—61no—
472C3×C8—121no—
473C3⋊C8—21no—
474C2×C32—21no—
475C2×C32—21no—
476C2×C32—21no—
477C2×C32—21no—
478C2×C32—21no—
479C2×C32—21no—
480C2×C32—21no—
481C2×C32—21no—
482C2×C32—21no—
483C2×C32—41no—
484C2×C32—41no—
485C2×C32—41no—
486C2×C32—121no—
487C2×C32#88211yescharacteristic
488C2×C32#88211yescharacteristic
489C2×C32#90411yescharacteristic
490C2×C32#90811yescharacteristic
491C2×C32#91411yescharacteristic
492C2×C32#91911yescharacteristic
493C2×C32C3×#12011yescharacteristic
494C2×C32C3×#13511yescharacteristic
495C2×C32C3×AGL(1,ℤ/8)11yescharacteristic
496C3⋊D3—42no—
497C3⋊D3—81no—
498C3×D3—42no—
499C3×D3—41no—
500C3×D3—41no—
501C3×D3—122no—
502C3×D3—122no—
503C3×D3—242no—
504C3×D3—242no—
505C3×D3—241no—
506C3×D3—241no—
507#41—182no—
508#41—182no—
509C2×Q8—31no—
510C2×D4—91no—
511C2×D4—91no—
512C2×D4—181no—
513C2×D4—181no—
514C22×C4—31no—
515C22×C4—181no—
516SD16—182no—
517D8—182no—
518C2×C8—31no—
519C2×C8C3×D3211yescharacteristic
520C4⋊C4—31no—
521C22⋊C4—181no—
522C22×C3—21no—
523C22×C3—21no—
524C22×C3—21no—
525C22×C3—41no—
526C22×C3—62no—
527C22×C3—61no—
528C22×C3—61no—
529C22×C3—61no—
530C22×C3—61no—
531C22×C3—61no—
532C22×C3—61no—
533C22×C3—121no—
534C22×C3—121no—
535C22×C3—182no—
536C22×C3—361no—
537C22×C3—361no—
538C22×C3—361no—
539C22×C3—361no—
540C22×C3—361no—
541C22×C3D3×D1211yescharacteristic
542C22×C3C2×C3×D1211yescharacteristic
543C22×C3C3×D3×D411yescharacteristic
544C2×D3—21no—
545C2×D3—21no—
546C2×D3—21no—
547C2×D3—62no—
548C2×D3—62no—
549C2×D3—122no—
550C2×D3—121no—
551C2×D3—121no—
552C2×D3—121no—
553C2×D3—121no—
554C2×D3—122no—
555C2×D3—121no—
556C2×D3—121no—
557C2×D3—121no—
558C2×D3—121no—
559C2×D3—121no—
560C2×D3—121no—
561C2×D3—241no—
562C2×D3—241no—
563C2×D3—241no—
564C2×D3—241no—
565C3×C4—21no—
566C3×C4—21no—
567C3×C4—21no—
568C3×C4—21no—
569C3×C4—21no—
570C3×C4—21no—
571C3×C4—41no—
572C3×C4—41no—
573C3×C4—61no—
574C3×C4—62no—
575C3×C4—61no—
576C3×C4—62no—
577C3×C4—121no—
578C3×C4—122no—
579C3×C4—121no—
580C3×C4—121no—
581C3×C4—241no—
582C3×C4D3×D1211yescharacteristic
583C3×C4#381111yescharacteristic
584C3×C4C2×C3×D1211yescharacteristic
585C3×C4C3×D3×D411yescharacteristic
586C3×C4C3×D3×D411yescharacteristic
587C3×C4C3×D3×D411yescharacteristic
588Dic3—22no—
589Dic3—21no—
590Dic3—41no—
591C32—21no—
592C32—21no—
593C32—21no—
594C32—41no—
595C32#473411yescharacteristic, complemented
596C32#481011yescharacteristic, complemented
597C32C3×#44911yescharacteristic, complemented
598C23—31no—
599C23—181no—
600C23—181no—
601Q8—32no—
602Q8—61no—
603D4—92no—
604D4—184no—
605D4—181no—
606D4—181no—
607D4—181no—
608D4—362no—
609C2×C4—31no—
610C2×C4—61no—
611C2×C4—61no—
612C2×C4—61no—
613C2×C4—61no—
614C2×C4—184no—
615C2×C4C2×C3×D3211yescharacteristic
616C8—21no—
617C8—61no—
618C2×C3—21no—
619C2×C3—21no—
620C2×C3—21no—
621C2×C3—21no—
622C2×C3—21no—
623C2×C3—21no—
624C2×C3—21no—
625C2×C3—21no—
626C2×C3—21no—
627C2×C3—41no—
628C2×C3—41no—
629C2×C3—41no—
630C2×C3—122no—
631C2×C3—121no—
632C2×C3—121no—
633C2×C3—362no—
634C2×C3—721no—
635C2×C3#6379411yescharacteristic
636C2×C3#6380811yescharacteristic
637C2×C3#6392311yescharacteristic
638C2×C3C3×#88211yescharacteristic
639C2×C3C3×#88211yescharacteristic
640C2×C3C3×#90411yescharacteristic
641C2×C3C3×#90811yescharacteristic
642C2×C3C3×#91411yescharacteristic
643C2×C3C3×#91911yescharacteristic
644D3—41no—
645D3—122no—
646D3—122no—
647D3—242no—
648D3—242no—
649D3—241no—
650D3—241no—
651C22—61no—
652C22—61no—
653C22—61no—
654C22—182no—
655C22—361no—
656C22—361no—
657C22—361no—
658C22—361no—
659C22—361no—
660C22C3×D3×D1211yescharacteristic
661C4—61no—
662C4—62no—
663C4—121no—
664C4C3×D3×D1211yescharacteristic
665C4C3×#381111yescharacteristic
666C3—21no—
667C3—21no—
668C3—21no—
669C3—41no—
670C3#1059096711yescharacteristic, direct product factor
671C3C3×#473411yescharacteristic, complemented
672C3C3×#481011yescharacteristic, complemented
673C2—121no—
674C2—362no—
675C2—721no—
676C2C3×#6379411yescharacteristic
677C2C3×#6380811yescharacteristic
678C2C3×#6392311yescharacteristic
subgroupG/H
centerC22×C3D3×D12
commutator, cosocleC2×C32×C4C23×C3
FrattiniC2×C4C2×C3×D32
FittingC2×C33×C8C22
socleC22×C33C2×D4
hypercenterC2×C3×C8D32
hypocenterC32C3×#449
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×C4 ◁ C2×C3×C8

Complements

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

NH ≅ G/Ntype
1. C2×C3×#3799C2semidirect
2. C2×C3×#3745C2semidirect
3. C3×#63909C2semidirect
4. C2×C3×#3717C2semidirect
5. C32×(C2×D3)⋊C8C2semidirect
6. C32×#816C2semidirect
7. C3×#63564C2semidirect
10. #10590967C3direct (N × H)
28. C2×#3799C2×C3semidirect
29. C2×#3745C2×C3semidirect
37. #63909C2×C3semidirect
38. C2×#3717C2×C3semidirect
43. C3×(C2×D3)⋊C8D3semidirect
44. C3×(C2×D3)⋊C8C2×C3semidirect
46. C3×#816D3semidirect
47. C3×#816C2×C3semidirect
49. #63564C2×C3semidirect
57. C3×C4⋊(C3⋊D3)D4semidirect
64. C32×Dic6D4semidirect
165. (C2×D3)⋊C8C3×D3semidirect
166. #816C3×D3semidirect
197. C4⋊(C3⋊D3)C3×D4semidirect
235. C3×Dic6D12semidirect
236. C3×Dic6C3×D4semidirect
390. C33#449semidirect
462. Dic6C3×D12semidirect
595. C32#4734semidirect
596. C32#4810semidirect
597. C32C3×#449semidirect
670. C3#10590967direct (N × H)
671. C3C3×#4734semidirect
672. C3C3×#4810semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#37992
C2×C3×#37452
C3×#639092
C2×C3×#37172
C32×(C2×D3)⋊C82
C32×#8162
C3×#635642
C3×#48103
C3×#47343
#105909673