Finite Group Databasebeta

← C3×#10591588 #13158592

Subgroups — C3×#10591588 #13158592

Order 1728.

960 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#239C211yesmaximal, characteristic, complemented
2C2×C3×#3755C211yesmaximal, characteristic, complemented
3C3×#63909C211yesmaximal, characteristic, complemented
4C2×C3×#3714C211yesmaximal, characteristic, complemented
5C32×#835C211yesmaximal, characteristic, complemented
6C3×#63562C211yesmaximal, characteristic, complemented
7C3×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
8C3×#5238—31nomaximal
9C3×#4810—31nomaximal
10#10591588C311yesmaximal, characteristic, direct product factor
11C2×C33×Q8C2211yescharacteristic
12C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
13C32×#239—22no—
14C32×#239—22no—
15C2×C32×D12—21no—
16C2×C32×D12C2211yescharacteristic
17C2×C32×C4×D3—21no—
18C2×C32×C4×D3C2211yescharacteristic
19C2×C3×#626—21no—
20C3×#3755—22no—
21C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
22C32×C4⋊Dic3C2211yescharacteristic
23C2×C32×C3⋊C8C2211yescharacteristic
24C3×#3722—21no—
25C3×#3714—22no—
26C2×C32×#41—31no—
27C2×C3×#239—21no—
28C2×C3×#239D311yescharacteristic, complemented
29C2×C3×#239C2×C311yescharacteristic, complemented
30C2×#3755C2×C311yescharacteristic, complemented
31C2×C3×#215—31no—
32C2×C3×#215—31no—
33C2×C3×#215—61no—
34C2×C3×#213—31no—
35C3×#930—31no—
36C2×C3×D24—31no—
37C3×#895—31no—
38#63909C2×C311yescharacteristic, complemented
39C2×#3714C2×C311yescharacteristic, complemented
40C32×#103—31no—
41C3×#835—21no—
42C3×#835D311yescharacteristic, complemented
43C3×#835C2×C311yescharacteristic, complemented
44C3×#832—31no—
45C3×#830—31no—
46C3×(C2×D3)⋊C8—31no—
47C3×#809—31no—
48#63562C2×C311yescharacteristic, complemented
49(C2×D3)⋊(C3⋊C8)C2×C311yescharacteristic, complemented
50C22×C3×C3⋊D3—21no—
51C22×C32×D3—21no—
52C22×C32×D3D411yescharacteristic
53C33×Q8—21no—
54C33×Q8D412yescomplemented
55C2×C33×C4—21no—
56C2×C33×C4C2311yescharacteristic
57C3×C4⋊(C3⋊D3)—21no—
58C3×C4⋊(C3⋊D3)—21no—
59C2×C32×Dic3—21no—
60C2×C32×Dic3D411yescharacteristic
61C32×D12—24no—
62C32×D12—21no—
63C32×D12D412yescomplemented
64C32×C4×D3—24no—
65C32×C4×D3—21no—
66C32×C4×D3—21no—
67C3×#626—42no—
68C3×C3⋊(C3⋊C8)—21no—
69C32×C3⋊C8—21no—
70C3×#449—91no—
71#5238—31no—
72#4810—31no—
73C32×#41—62no—
74C32×#41—62no—
75C2×C32×Q8—21no—
76C2×C32×Q8—21no—
77C2×C32×Q8—21no—
78C2×C32×Q8—41no—
79C2×C32×Q8C2×D311yescharacteristic
80C2×C32×Q8C2×D311yescharacteristic
81C2×C32×Q8C22×C311yescharacteristic
82C2×C32×D4—31no—
83C2×C32×D4—61no—
84C22×C32×C4—31no—
85C22×C32×C4—61no—
86C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
87C2×C3×#67—61no—
88C3×#239—24no—
89C3×#239—24no—
90C3×#239—22no—
91C3×#239—22no—
92C3×#239—22no—
93C3×#239—22no—
94C2×C3×D12—22no—
95C2×C3×D12—21no—
96C2×C3×D12—21no—
97C2×C3×D12—21no—
98C2×C3×D12—31no—
99C2×C3×D12—31no—
100C2×C3×D12—61no—
101C2×C3×D12—61no—
102C2×C3×D12C2×D311yescharacteristic
103C2×C3×D12C22×C311yescharacteristic
104C2×C3×C4×D3—22no—
105C2×C3×C4×D3—21no—
106C2×C3×C4×D3—21no—
107C2×C3×C4×D3—21no—
108C2×C3×C4×D3C2×D311yescharacteristic
109C2×C3×C4×D3C22×C311yescharacteristic
110C2×#626—21no—
111C2×C32×C8—31no—
112C32×C4⋊C4—31no—
113#3755—22no—
114C2×C3⋊(C3⋊C8)C22×C311yescharacteristic
115C3×#215—64no—
116C3×#215—62no—
117C3×#215—62no—
118C3×#213—62no—
119C3×(C2×D3)⋊C4—61no—
120C3×(C2×D3)⋊C4—61no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3C2×D311yescharacteristic
123C3×C4⋊Dic3C22×C311yescharacteristic
124C2×C3×C3⋊C8—21no—
125C2×C3×C3⋊C8—31no—
126C2×C3×C3⋊C8—31no—
127C2×C3×C3⋊C8—61no—
128C2×C3×C3⋊C8C2×D311yescharacteristic
129C2×C3×C3⋊C8C22×C311yescharacteristic
130C3×D24—62no—
131#3722—21no—
132#3714—22no—
133C22×C33C2×D411yescharacteristic
134C2×C3×C3⋊D3—41no—
135C2×C3×C3⋊D3—41no—
136C2×C3×C3⋊D3—41no—
137C2×C32×D3—21no—
138C2×C32×D3—22no—
139C2×C32×D3—21no—
140C2×C32×D3—21no—
141C2×C32×D3—41no—
142C2×C32×D3—41no—
143C33×C4—22no—
144C33×C4C2×D411yescharacteristic
145C33×C4C2×D411yescharacteristic
146C32×Dic3—21no—
147C32×Dic3—41no—
148C2×C3×#41—31no—
149C2×C3×#41—31no—
150C2×C3×#41—61no—
151C2×#239C3×D311yescharacteristic, complemented
152C2×C3×SD16—91no—
153C2×C3×D8—91no—
154C3×#121—91no—
155C2×#215—31no—
156C2×#215—31no—
157C2×#215—61no—
158C2×#213—31no—
159#930—31no—
160C2×D24—31no—
161#895—31no—
162C3×#103—31no—
163C3×#103—31no—
164C3×#103—61no—
165C3×#102—91no—
166C3×C22⋊C8—91no—
167#835C3×D311yescharacteristic, complemented
168#832—31no—
169#830—31no—
170(C2×D3)⋊C8—31no—
171#809—31no—
172C23×C32—31no—
173C23×C32—61no—
174C22×C3⋊D3—21no—
175C22×C3×D3—22no—
176C22×C3×D3—21no—
177C22×C3×D3—21no—
178C22×C3×D3—21no—
179C22×C3×D3—61no—
180C22×C3×D3—61no—
181C22×C3×D3—121no—
182C22×C3×D3#6711yescharacteristic
183C22×C3×D3C3×D411yescharacteristic
184C32×Q8—21no—
185C32×Q8—22no—
186C32×Q8—21no—
187C32×Q8—21no—
188C32×Q8—22no—
189C32×Q8—22no—
190C32×Q8—22no—
191C32×Q8—42no—
192C32×Q8—41no—
193C32×Q8—41no—
194C32×Q8—42no—
195C32×Q8D1212yescomplemented
196C32×Q8#6712yescomplemented
197C32×Q8C3×D412yescomplemented
198C32×D4—32no—
199C32×D4—64no—
200C32×D4—61no—
201C2×C32×C4—21no—
202C2×C32×C4—22no—
203C2×C32×C4—21no—
204C2×C32×C4—21no—
205C2×C32×C4—21no—
206C2×C32×C4—21no—
207C2×C32×C4—21no—
208C2×C32×C4—31no—
209C2×C32×C4—41no—
210C2×C32×C4—41no—
211C2×C32×C4—41no—
212C2×C32×C4—42no—
213C2×C32×C4—64no—
214C2×C32×C4—61no—
215C2×C32×C4—61no—
216C2×C32×C4—61no—
217C2×C32×C4C22×D311yescharacteristic
218C2×C32×C4C22×D311yescharacteristic
219C2×C32×C4C23×C311yescharacteristic
220C4⋊(C3⋊D3)—21no—
221C4⋊(C3⋊D3)—21no—
222C3×#67—122no—
223C2×C3×Dic3—21no—
224C2×C3×Dic3—21no—
225C2×C3×Dic3—21no—
226C2×C3×Dic3—41no—
227C2×C3×Dic3#6711yescharacteristic
228C2×C3×Dic3C3×D411yescharacteristic
229C3×D12—28no—
230C3×D12—24no—
231C3×D12—24no—
232C3×D12—22no—
233C3×D12—21no—
234C3×D12—21no—
235C3×D12—22no—
236C3×D12—62no—
237C3×D12—61no—
238C3×D12—61no—
239C3×D12—61no—
240C3×D12—61no—
241C3×D12—121no—
242C3×D12—122no—
243C3×D12#6712yescomplemented
244C3×D12C3×D412yescomplemented
245C3×C4×D3—28no—
246C3×C4×D3—24no—
247C3×C4×D3—24no—
248C3×C4×D3—22no—
249C3×C4×D3—22no—
250C3×C4×D3—21no—
251C3×C4×D3—21no—
252C3×C4×D3—21no—
253C3×C4×D3—21no—
254#626—42no—
255C32×C8—61no—
256C3⋊(C3⋊C8)—21no—
257C3×C3⋊C8—21no—
258C3×C3⋊C8—21no—
259C3×C3⋊C8—41no—
260C3×C3⋊C8—62no—
261C3×C3⋊C8—61no—
262C3×C3⋊C8—61no—
263#449—91noSylow
264C2×C33#12011yescharacteristic
265C2×C33#13511yescharacteristic
266C2×C33AGL(1,ℤ/8)11yescharacteristic
267C3×C3⋊D3—81no—
268C32×D3—41no—
269C32×D3—42no—
270C3×#41—62no—
271C3×#41—62no—
272C3×#41—64no—
273C3×#41—64no—
274C3×#41—62no—
275C3×#41—62no—
276C2×C3×Q8—21no—
277C2×C3×Q8—21no—
278C2×C3×Q8—21no—
279C2×C3×Q8—41no—
280C2×C3×Q8D3211yescharacteristic
281C2×C3×Q8C2×C3×D311yescharacteristic
282C2×C3×Q8C2×C3×D311yescharacteristic
283C2×C3×D4—31no—
284C2×C3×D4—31no—
285C2×C3×D4—61no—
286C2×C3×D4—61no—
287C2×C3×D4—61no—
288C2×C3×D4—62no—
289C2×C3×D4—91no—
290C2×C3×D4—181no—
291C22×C3×C4—31no—
292C22×C3×C4—31no—
293C22×C3×C4—61no—
294C22×C3×C4—61no—
295C22×C3×C4—61no—
296C22×C3×C4—62no—
297C2×#67—61no—
298#239—22no—
299#239—22no—
300C2×D12—21no—
301C2×D12—31no—
302C2×D12—31no—
303C2×D12—61no—
304C2×D12—61no—
305C2×D12C2×C3×D311yescharacteristic
306C2×C4×D3—21no—
307C2×C4×D3C2×C3×D311yescharacteristic
308C3×SD16—182no—
309C3×D8—182no—
310C2×C3×C8—31no—
311C2×C3×C8—31no—
312C2×C3×C8—61no—
313C2×C3×C8—91no—
314C3×C4⋊C4—31no—
315C3×C4⋊C4—31no—
316C3×C4⋊C4—61no—
317C3×C22⋊C4—181no—
318#215—64no—
319#215—62no—
320#215—62no—
321#213—62no—
322(C2×D3)⋊C4—61no—
323(C2×D3)⋊C4—61no—
324C4⋊Dic3C2×C3×D311yescharacteristic
325C2×C3⋊C8—31no—
326C2×C3⋊C8—31no—
327C2×C3⋊C8—61no—
328C2×C3⋊C8C2×C3×D311yescharacteristic
329D24—62no—
330C22×C32—21no—
331C22×C32—21no—
332C22×C32—21no—
333C22×C32—41no—
334C22×C32—62no—
335C22×C32—61no—
336C22×C32—61no—
337C22×C32—61no—
338C22×C32—121no—
339C22×C32—121no—
340C22×C32D3×D411yescharacteristic
341C22×C32C2×#6711yescharacteristic
342C22×C32C2×C3×D411yescharacteristic
343C2×C3⋊D3—41no—
344C2×C3⋊D3—41no—
345C2×C3⋊D3—41no—
346C2×C3×D3—22no—
347C2×C3×D3—24no—
348C2×C3×D3—21no—
349C2×C3×D3—21no—
350C2×C3×D3—21no—
351C2×C3×D3—22no—
352C2×C3×D3—21no—
353C2×C3×D3—22no—
354C2×C3×D3—21no—
355C2×C3×D3—21no—
356C2×C3×D3—41no—
357C2×C3×D3—41no—
358C2×C3×D3—42no—
359C2×C3×D3—42no—
360C2×C3×D3—41no—
361C2×C3×D3—41no—
362C2×C3×D3—41no—
363C2×C3×D3—41no—
364C2×C3×D3—122no—
365C2×C3×D3—121no—
366C2×C3×D3—121no—
367C2×C3×D3—121no—
368C2×C3×D3—121no—
369C2×C3×D3—121no—
370C2×C3×D3—121no—
371C2×C3×D3—241no—
372C2×C3×D3—241no—
373C32×C4—22no—
374C32×C4—24no—
375C32×C4—22no—
376C32×C4—22no—
377C32×C4—21no—
378C32×C4—21no—
379C32×C4—21no—
380C32×C4—21no—
381C32×C4—21no—
382C32×C4—21no—
383C32×C4—41no—
384C32×C4—41no—
385C32×C4—42no—
386C32×C4—42no—
387C32×C4—44no—
388C32×C4—61no—
389C32×C4—121no—
390C32×C4C2×D1211yescharacteristic
391C32×C4D3×D411yescharacteristic
392C32×C4C2×#6711yescharacteristic
393C32×C4C2×#6711yescharacteristic
394C32×C4C2×C3×D411yescharacteristic
395C32×C4C2×C3×D411yescharacteristic
396C3×Dic3—22no—
397C3×Dic3—21no—
398C3×Dic3—21no—
399C3×Dic3—41no—
400C3×Dic3—41no—
401C3×Dic3—81no—
402C2×#41—31no—
403C2×SD16—91no—
404C2×D8—91no—
405#121—91no—
406#103—31no—
407#102—91no—
408C22⋊C8—91no—
409C33#44911yescharacteristic, complemented, Sylow
410C23×C3—31no—
411C23×C3—31no—
412C23×C3—61no—
413C23×C3—62no—
414C23×C3—61no—
415C23×C3—61no—
416C23×C3—181no—
417C22×D3—21no—
418C22×D3—61no—
419C22×D3—61no—
420C22×D3—121no—
421C22×D3C3×#6711yescharacteristic
422C3×Q8—22no—
423C3×Q8—21no—
424C3×Q8—21no—
425C3×Q8—21no—
426C3×Q8—22no—
427C3×Q8—22no—
428C3×Q8—22no—
429C3×Q8—41no—
430C3×Q8—41no—
431C3×Q8—42no—
432C3×Q8—42no—
433C3×Q8#62612yescomplemented
434C3×Q8C3×D1212yescomplemented
435C3×Q8C3×#6712yescomplemented
436C3×D4—32no—
437C3×D4—32no—
438C3×D4—62no—
439C3×D4—68no—
440C3×D4—64no—
441C3×D4—64no—
442C3×D4—62no—
443C3×D4—61no—
444C3×D4—61no—
445C3×D4—181no—
446C3×D4—181no—
447C3×D4—362no—
448C2×C3×C4—22no—
449C2×C3×C4—21no—
450C2×C3×C4—21no—
451C2×C3×C4—21no—
452C2×C3×C4—21no—
453C2×C3×C4—21no—
454C2×C3×C4—21no—
455C2×C3×C4—31no—
456C2×C3×C4—31no—
457C2×C3×C4—41no—
458C2×C3×C4—41no—
459C2×C3×C4—42no—
460C2×C3×C4—41no—
461C2×C3×C4—61no—
462C2×C3×C4—68no—
463C2×C3×C4—64no—
464C2×C3×C4—64no—
465C2×C3×C4—62no—
466C2×C3×C4—62no—
467C2×C3×C4—61no—
468C2×C3×C4—61no—
469C2×C3×C4—61no—
470C2×C3×C4—61no—
471C2×C3×C4—61no—
472C2×C3×C4—61no—
473C2×C3×C4—121no—
474C2×C3×C4C2×D3211yescharacteristic
475C2×C3×C4C22×C3×D311yescharacteristic
476C2×C3×C4C22×C3×D311yescharacteristic
477#67—122no—
478C2×Dic3—21no—
479C2×Dic3C3×#6711yescharacteristic
480D12—24no—
481D12—21no—
482D12—62no—
483D12—61no—
484D12—61no—
485D12—61no—
486D12—61no—
487D12—121no—
488D12—122no—
489D12C3×#6712yescomplemented
490C4×D3—24no—
491C4×D3—21no—
492C4×D3—21no—
493C3×C8—61no—
494C3×C8—61no—
495C3×C8—121no—
496C3×C8—181no—
497C3⋊C8—21no—
498C3⋊C8—62no—
499C3⋊C8—61no—
500C3⋊C8—61no—
501C2×C32—21no—
502C2×C32—21no—
503C2×C32—21no—
504C2×C32—21no—
505C2×C32—21no—
506C2×C32—21no—
507C2×C32—21no—
508C2×C32—21no—
509C2×C32—21no—
510C2×C32—41no—
511C2×C32—41no—
512C2×C32—41no—
513C2×C32—121no—
514C2×C32—122no—
515C2×C32#88211yescharacteristic
516C2×C32#91411yescharacteristic
517C2×C32#91911yescharacteristic
518C2×C32#94911yescharacteristic
519C2×C32#95011yescharacteristic
520C2×C32#95311yescharacteristic
521C2×C32C3×#12011yescharacteristic
522C2×C32C3×#13511yescharacteristic
523C2×C32C3×AGL(1,ℤ/8)11yescharacteristic
524C3⋊D3—81no—
525C3×D3—42no—
526C3×D3—44no—
527C3×D3—41no—
528C3×D3—42no—
529C3×D3—41no—
530C3×D3—42no—
531C3×D3—242no—
532C3×D3—241no—
533C3×D3—241no—
534#41—62no—
535#41—62no—
536C2×Q8C3×D3211yescharacteristic
537C2×D4—31no—
538C2×D4—61no—
539C2×D4—91no—
540C2×D4—181no—
541C22×C4—31no—
542C22×C4—61no—
543SD16—182no—
544D8—182no—
545C2×C8—31no—
546C2×C8—91no—
547C4⋊C4—31no—
548C22⋊C4—181no—
549C22×C3—21no—
550C22×C3—21no—
551C22×C3—21no—
552C22×C3—41no—
553C22×C3—64no—
554C22×C3—62no—
555C22×C3—62no—
556C22×C3—61no—
557C22×C3—61no—
558C22×C3—61no—
559C22×C3—61no—
560C22×C3—61no—
561C22×C3—62no—
562C22×C3—61no—
563C22×C3—121no—
564C22×C3—121no—
565C22×C3—122no—
566C22×C3—122no—
567C22×C3—121no—
568C22×C3—121no—
569C22×C3—121no—
570C22×C3—121no—
571C22×C3—361no—
572C22×C3—361no—
573C22×C3—361no—
574C22×C3D3×#6711yescharacteristic
575C22×C3C3×D3×D411yescharacteristic
576C22×C3C2×C3×#6711yescharacteristic
577C2×D3—21no—
578C2×D3—21no—
579C2×D3—21no—
580C2×D3—22no—
581C2×D3—41no—
582C2×D3—41no—
583C2×D3—122no—
584C2×D3—121no—
585C2×D3—121no—
586C2×D3—121no—
587C2×D3—121no—
588C2×D3—121no—
589C2×D3—121no—
590C2×D3—241no—
591C2×D3—241no—
592C3×C4—24no—
593C3×C4—22no—
594C3×C4—22no—
595C3×C4—22no—
596C3×C4—21no—
597C3×C4—21no—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—21no—
601C3×C4—21no—
602C3×C4—42no—
603C3×C4—42no—
604C3×C4—44no—
605C3×C4—41no—
606C3×C4—41no—
607C3×C4—62no—
608C3×C4—61no—
609C3×C4—61no—
610C3×C4—121no—
611C3×C4—121no—
612C3×C4—241no—
613C3×C4C2×#62611yescharacteristic
614C3×C4D3×#6711yescharacteristic
615C3×C4C2×C3×D1211yescharacteristic
616C3×C4C3×D3×D411yescharacteristic
617C3×C4C2×C3×#6711yescharacteristic
618C3×C4C2×C3×#6711yescharacteristic
619Dic3—21no—
620Dic3—41no—
621C32—21no—
622C32—21no—
623C32—21no—
624C32—41no—
625C32#481011yescharacteristic, complemented
626C32#523811yescharacteristic, complemented
627C32C3×#44911yescharacteristic, complemented
628C23—31no—
629C23—61no—
630C23—181no—
631Q8—21no—
632Q8C3×#62612yescomplemented
633D4—32no—
634D4—64no—
635D4—61no—
636D4—181no—
637D4—181no—
638D4—362no—
639C2×C4—21no—
640C2×C4—31no—
641C2×C4—64no—
642C2×C4—61no—
643C2×C4—61no—
644C2×C4—61no—
645C2×C4C2×C3×D3211yescharacteristic
646C8—61no—
647C8—181no—
648C2×C3—21no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—21no—
652C2×C3—21no—
653C2×C3—21no—
654C2×C3—21no—
655C2×C3—21no—
656C2×C3—21no—
657C2×C3—41no—
658C2×C3—41no—
659C2×C3—41no—
660C2×C3—122no—
661C2×C3—124no—
662C2×C3—121no—
663C2×C3—122no—
664C2×C3—121no—
665C2×C3—122no—
666C2×C3—721no—
667C2×C3#6393911yescharacteristic
668C2×C3#6394911yescharacteristic
669C2×C3#6397711yescharacteristic
670C2×C3C3×#88211yescharacteristic
671C2×C3C3×#91411yescharacteristic
672C2×C3C3×#91911yescharacteristic
673C2×C3C3×#94911yescharacteristic
674C2×C3C3×#95011yescharacteristic
675C2×C3C3×#95311yescharacteristic
676D3—41no—
677D3—42no—
678D3—242no—
679D3—241no—
680D3—241no—
681C22—61no—
682C22—61no—
683C22—62no—
684C22—61no—
685C22—121no—
686C22—121no—
687C22—361no—
688C22—361no—
689C22—361no—
690C22C3×D3×#6711yescharacteristic
691C4—22no—
692C4—61no—
693C4—121no—
694C4C2×C3×#62611yescharacteristic
695C4C3×D3×#6711yescharacteristic
696C3—21no—
697C3—21no—
698C3—21no—
699C3—41no—
700C3#1059158811yescharacteristic, direct product factor
701C3C3×#481011yescharacteristic, complemented
702C3C3×#523811yescharacteristic, complemented
703C2—121no—
704C2—122no—
705C2—721no—
706C2C3×#6393911yescharacteristic
707C2C3×#6394911yescharacteristic
708C2C3×#6397711yescharacteristic
subgroupG/H
centerC22×C3D3×#67
commutator, cosocleC2×C32×C4C23×C3
FrattiniC2×C4C2×C3×D32
FittingC2×C33×Q8C22
socleC22×C33C2×D4
hypercenterC2×C3×Q8D32
hypocenterC32C3×#449
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×C4 ◁ C2×C3×Q8

Complements

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

NH ≅ G/Ntype
1. C2×C32×#239C2semidirect
2. C2×C3×#3755C2semidirect
3. C3×#63909C2semidirect
4. C2×C3×#3714C2semidirect
5. C32×#835C2semidirect
6. C3×#63562C2semidirect
7. C3×(C2×D3)⋊(C3⋊C8)C2semidirect
10. #10591588C3direct (N × H)
28. C2×C3×#239D3semidirect
29. C2×C3×#239C2×C3semidirect
30. C2×#3755C2×C3semidirect
38. #63909C2×C3semidirect
39. C2×#3714C2×C3semidirect
42. C3×#835D3semidirect
43. C3×#835C2×C3semidirect
48. #63562C2×C3semidirect
49. (C2×D3)⋊(C3⋊C8)C2×C3semidirect
54. C33×Q8D4semidirect
63. C32×D12D4semidirect
151. C2×#239C3×D3semidirect
167. #835C3×D3semidirect
195. C32×Q8D12semidirect
196. C32×Q8#67semidirect
197. C32×Q8C3×D4semidirect
243. C3×D12#67semidirect
244. C3×D12C3×D4semidirect
409. C33#449semidirect
433. C3×Q8#626semidirect
434. C3×Q8C3×D12semidirect
435. C3×Q8C3×#67semidirect
489. D12C3×#67semidirect
625. C32#4810semidirect
626. C32#5238semidirect
627. C32C3×#449semidirect
632. Q8C3×#626semidirect
700. C3#10591588direct (N × H)
701. C3C3×#4810semidirect
702. C3C3×#5238semidirect

Maximal subgroups

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

subgroupindex
C2×C32×#2392
C2×C3×#37552
C3×#639092
C2×C3×#37142
C32×#8352
C3×#635622
C3×(C2×D3)⋊(C3⋊C8)2
C3×#52383
C3×#48103
#105915883