Finite Group Databasebeta

← C3×#10591457 #13158466

Subgroups — C3×#10591457 #13158466

Order 1728.

992 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3830C211yesmaximal, characteristic, complemented
2C2×C32×#213C211yesmaximal, characteristic, complemented
3C3×#63916C211yesmaximal, characteristic, complemented
4C2×C3×#3716C211yesmaximal, characteristic, complemented
5C32×#832C211yesmaximal, characteristic, complemented
6C3×#63567C211yesmaximal, characteristic, complemented
7C3×#63557C211yesmaximal, characteristic, complemented
8C3×#5158—31nomaximal
9C3×#4781—31nomaximal
10#10591457C311yesmaximal, characteristic, direct product factor
11C2×C33×D4C2211yescharacteristic
12C2×C3×#638—21no—
13C22×C3×C3⋊Dic3—21no—
14C3×#3830—22no—
15C3×#3830—22no—
16C2×C3×C4×C3⋊D3C2211yescharacteristic
17C2×C3×#634C2211yescharacteristic
18C2×C32×D12C2211yescharacteristic
19C2×C3×#626—21no—
20C32×#213—22no—
21C32×C4⋊Dic3C2211yescharacteristic
22C2×C32×C3⋊C8C2211yescharacteristic
23C2×C32×C3⋊C8C2211yescharacteristic
24C3×(C2×D3)⋊Dic3—21no—
25C3×#3716—22no—
26C2×#3830C2×C311yescharacteristic, complemented
27C2×C3×#237—31no—
28C2×C3×#237—31no—
29C2×C3×#237—61no—
30C2×C32×D8—31no—
31C3×#938—31no—
32C2×C3×#214—31no—
33C2×C3×#213—21no—
34C2×C3×#213D311yescharacteristic, complemented
35C2×C3×#213C2×C311yescharacteristic, complemented
36C2×C3×#204—31no—
37C3×#895—31no—
38#63916C2×C311yescharacteristic, complemented
39C2×#3716C2×C311yescharacteristic, complemented
40C32×#102—31no—
41C3×#832—21no—
42C3×#832D311yescharacteristic, complemented
43C3×#832C2×C311yescharacteristic, complemented
44C3×(C2×D3)⋊C8—31no—
45C3×(C2×D3)⋊C8—31no—
46C3×#816—31no—
47C3×#810—31no—
48#63567C2×C311yescharacteristic, complemented
49#63557C2×C311yescharacteristic, complemented
50C23×C33—21no—
51C22×C3×C3⋊D3D411yescharacteristic
52C22×C32×D3—21no—
53C33×D4—21no—
54C33×D4D412yescomplemented
55C2×C33×C4C2311yescharacteristic
56C3×#638—24no—
57C2×C3×C3⋊Dic3—24no—
58C2×C3×C3⋊Dic3—21no—
59C2×C3×C3⋊Dic3D411yescharacteristic
60C3×C4×C3⋊D3—21no—
61C3×C4×C3⋊D3—21no—
62C3×#634—21no—
63C3×#634D412yescomplemented
64C2×C32×Dic3—21no—
65C32×D12—21no—
66C32×D12—21no—
67C3×#626—42no—
68C32×C3⋊C8—21no—
69C32×C3⋊C8—21no—
70C3×#449—91no—
71#5158—31no—
72#4781—31no—
73C2×C32×D4—21no—
74C2×C32×D4—21no—
75C2×C32×D4—21no—
76C2×C32×D4—31no—
77C2×C32×D4—41no—
78C2×C32×D4C2×D311yescharacteristic
79C2×C32×D4C2×D311yescharacteristic
80C2×C32×D4C22×C311yescharacteristic
81C2×#638—21no—
82C22×C3⋊Dic3—21no—
83#3830—22no—
84#3830—22no—
85C2×C4×C3⋊D3C22×C311yescharacteristic
86C2×#634C22×C311yescharacteristic
87C2×C3×#67—61no—
88C2×C3×#67—61no—
89C2×C3×#67—61no—
90C2×C3×#67—62no—
91C22×C3×Dic3—61no—
92C22×C3×Dic3—61no—
93C22×C3×Dic3—62no—
94C3×#237—62no—
95C3×#237—62no—
96C3×#237—64no—
97C3×#237—64no—
98C3×#237—62no—
99C3×#237—62no—
100C2×C3×D12—21no—
101C2×C3×D12—61no—
102C2×C3×D12C2×D311yescharacteristic
103C2×C3×D12C22×C311yescharacteristic
104C2×C3×C4×D3—31no—
105C2×C3×C4×D3—31no—
106C2×C3×C4×D3—61no—
107C2×C3×Dic6—31no—
108C2×C3×Dic6—31no—
109C2×C3×Dic6—61no—
110C2×#626—21no—
111C32×D8—62no—
112C2×C32×C8—31no—
113C2×C32×C8—31no—
114C32×C4⋊C4—31no—
115C3×#217—61no—
116C3×#214—62no—
117C3×#213—24no—
118C3×#213—22no—
119C3×#213—22no—
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—21no—
126C2×C3×C3⋊C8C2×D311yescharacteristic
127C2×C3×C3⋊C8C2×D311yescharacteristic
128C2×C3×C3⋊C8C22×C311yescharacteristic
129C2×C3×C3⋊C8C22×C311yescharacteristic
130C3×#204—62no—
131(C2×D3)⋊Dic3—21no—
132#3716—22no—
133C22×C33—22no—
134C22×C33—41no—
135C22×C33—41no—
136C22×C33C2×D411yescharacteristic
137C2×C3×C3⋊D3—21no—
138C2×C3×C3⋊D3—21no—
139C2×C3×C3⋊D3—21no—
140C2×C32×D3—41no—
141C2×C32×D3—41no—
142C2×C32×D3—41no—
143C33×C4C2×D411yescharacteristic
144C33×C4C2×D411yescharacteristic
145C3×C3⋊Dic3—22no—
146C3×C3⋊Dic3—21no—
147C32×Dic3—41no—
148C2×C3×#41—91no—
149C2×#237—31no—
150C2×#237—31no—
151C2×#237—61no—
152C2×C3×SD16—91no—
153C2×C3×D8—31no—
154C2×C3×D8—31no—
155C2×C3×D8—61no—
156C3×#121—91no—
157#938—31no—
158C2×#214—31no—
159C2×#213C3×D311yescharacteristic, complemented
160C2×#204—31no—
161#895—31no—
162C3×#103—91no—
163C3×#102—31no—
164C3×#102—31no—
165C3×#102—61no—
166C3×C22⋊C8—91no—
167#832C3×D311yescharacteristic, complemented
168(C2×D3)⋊C8—31no—
169(C2×D3)⋊C8—31no—
170#816—31no—
171#810—31no—
172C23×C32—21no—
173C23×C32—22no—
174C23×C32—21no—
175C23×C32—21no—
176C23×C32—41no—
177C23×C32—41no—
178C23×C32—42no—
179C23×C32—61no—
180C22×C3⋊D3C3×D411yescharacteristic
181C22×C3×D3—21no—
182C22×C3×D3—21no—
183C22×C3×D3—31no—
184C22×C3×D3—31no—
185C22×C3×D3—41no—
186C22×C3×D3—61no—
187C32×D4—21no—
188C32×D4—22no—
189C32×D4—21no—
190C32×D4—21no—
191C32×D4—22no—
192C32×D4—22no—
193C32×D4—22no—
194C32×D4—42no—
195C32×D4—41no—
196C32×D4—41no—
197C32×D4—42no—
198C32×D4—61no—
199C32×D4—61no—
200C32×D4D1212yescomplemented
201C32×D4#6712yescomplemented
202C32×D4C3×D412yescomplemented
203C2×C32×C4—21no—
204C2×C32×C4—21no—
205C2×C32×C4—21no—
206C2×C32×C4—41no—
207C2×C32×C4—61no—
208C2×C32×C4C22×D311yescharacteristic
209C2×C32×C4C22×D311yescharacteristic
210C2×C32×C4C23×C311yescharacteristic
211#638—24no—
212C2×C3⋊Dic3—24no—
213C2×C3⋊Dic3—21no—
214C2×C3⋊Dic3C3×D411yescharacteristic
215C4×C3⋊D3—21no—
216C4×C3⋊D3—21no—
217#634—21no—
218#634C3×D412yescomplemented
219C3×#67—68no—
220C3×#67—64no—
221C3×#67—64no—
222C3×#67—122no—
223C2×C3×Dic3—21no—
224C2×C3×Dic3—21no—
225C2×C3×Dic3—31no—
226C2×C3×Dic3—31no—
227C2×C3×Dic3—41no—
228C2×C3×Dic3—61no—
229C2×C3×Dic3—62no—
230C2×C3×Dic3—68no—
231C2×C3×Dic3—64no—
232C2×C3×Dic3—64no—
233C2×C3×Dic3—61no—
234C2×C3×Dic3—61no—
235C3×D12—22no—
236C3×D12—21no—
237C3×D12—21no—
238C3×D12—21no—
239C3×D12—21no—
240C3×D12—41no—
241C3×D12—122no—
242C3×C4×D3—62no—
243C3×C4×D3—62no—
244C3×C4×D3—61no—
245C3×C4×D3—61no—
246C3×C4×D3—61no—
247C3×C4×D3—61no—
248C3×Dic6—32no—
249C3×Dic6—32no—
250C3×Dic6—62no—
251C3×Dic6—62no—
252C3×Dic6—61no—
253C3×Dic6—61no—
254#626—42no—
255C32×C8—61no—
256C32×C8—61no—
257C3×C3⋊C8—22no—
258C3×C3⋊C8—21no—
259C3×C3⋊C8—21no—
260C3×C3⋊C8—21no—
261C3×C3⋊C8—21no—
262C3×C3⋊C8—41no—
263#449—91noSylow
264C2×C33—42no—
265C2×C33#12011yescharacteristic
266C2×C33#13511yescharacteristic
267C2×C33AGL(1,ℤ/8)11yescharacteristic
268C3×C3⋊D3—41no—
269C32×D3—81no—
270C3×#41—182no—
271C3×#41—182no—
272C2×C3×Q8—91no—
273C2×C3×D4—21no—
274C2×C3×D4—21no—
275C2×C3×D4—21no—
276C2×C3×D4—31no—
277C2×C3×D4—31no—
278C2×C3×D4—41no—
279C2×C3×D4—61no—
280C2×C3×D4—181no—
281C2×C3×D4—181no—
282C2×C3×D4D3211yescharacteristic
283C2×C3×D4C2×C3×D311yescharacteristic
284C2×C3×D4C2×C3×D311yescharacteristic
285C22×C3×C4—91no—
286C22×C3×C4—181no—
287C2×#67—61no—
288C2×#67—61no—
289C2×#67—61no—
290C2×#67—62no—
291C22×Dic3—61no—
292C22×Dic3—61no—
293C22×Dic3—62no—
294#237—62no—
295#237—62no—
296#237—64no—
297#237—64no—
298#237—62no—
299#237—62no—
300C2×D12—61no—
301C2×D12C2×C3×D311yescharacteristic
302C2×C4×D3—31no—
303C2×C4×D3—31no—
304C2×C4×D3—61no—
305C2×Dic6—31no—
306C2×Dic6—31no—
307C2×Dic6—61no—
308C3×SD16—182no—
309C3×D8—64no—
310C3×D8—62no—
311C3×D8—62no—
312C2×C3×C8—31no—
313C2×C3×C8—31no—
314C2×C3×C8—31no—
315C2×C3×C8—31no—
316C2×C3×C8—61no—
317C2×C3×C8—61no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—61no—
321C3×C22⋊C4—181no—
322#217—61no—
323#214—62no—
324#213—22no—
325(C2×D3)⋊C4—61no—
326C4⋊Dic3C2×C3×D311yescharacteristic
327C2×C3⋊C8C2×C3×D311yescharacteristic
328C2×C3⋊C8C2×C3×D311yescharacteristic
329#204—62no—
330C22×C32—22no—
331C22×C32—24no—
332C22×C32—22no—
333C22×C32—22no—
334C22×C32—21no—
335C22×C32—21no—
336C22×C32—21no—
337C22×C32—41no—
338C22×C32—42no—
339C22×C32—42no—
340C22×C32—44no—
341C22×C32—41no—
342C22×C32—41no—
343C22×C32—42no—
344C22×C32—42no—
345C22×C32—41no—
346C22×C32—41no—
347C22×C32—41no—
348C22×C32—41no—
349C22×C32—81no—
350C22×C32—81no—
351C22×C32—81no—
352C22×C32—81no—
353C22×C32—82no—
354C22×C32—82no—
355C22×C32—121no—
356C22×C32—121no—
357C22×C32—121no—
358C22×C32D3×D411yescharacteristic
359C22×C32D3×D411yescharacteristic
360C22×C32C2×C3×D411yescharacteristic
361C2×C3⋊D3—21no—
362C2×C3⋊D3—21no—
363C2×C3⋊D3—21no—
364C2×C3×D3—42no—
365C2×C3×D3—41no—
366C2×C3×D3—41no—
367C2×C3×D3—41no—
368C2×C3×D3—41no—
369C2×C3×D3—41no—
370C2×C3×D3—41no—
371C2×C3×D3—62no—
372C2×C3×D3—61no—
373C2×C3×D3—61no—
374C2×C3×D3—61no—
375C2×C3×D3—61no—
376C2×C3×D3—61no—
377C2×C3×D3—61no—
378C2×C3×D3—81no—
379C2×C3×D3—81no—
380C2×C3×D3—121no—
381C2×C3×D3—121no—
382C32×C4—21no—
383C32×C4—21no—
384C32×C4—21no—
385C32×C4—21no—
386C32×C4—21no—
387C32×C4—21no—
388C32×C4—41no—
389C32×C4—41no—
390C32×C4—121no—
391C32×C4C2×D1211yescharacteristic
392C32×C4D3×D411yescharacteristic
393C32×C4D3×D411yescharacteristic
394C32×C4C2×#6711yescharacteristic
395C32×C4C2×C3×D411yescharacteristic
396C32×C4C2×C3×D411yescharacteristic
397C3⋊Dic3—22no—
398C3⋊Dic3—21no—
399C3×Dic3—41no—
400C3×Dic3—41no—
401C3×Dic3—64no—
402C3×Dic3—62no—
403C3×Dic3—62no—
404C3×Dic3—61no—
405C3×Dic3—62no—
406C3×Dic3—61no—
407C3×Dic3—81no—
408C2×#41—91no—
409C2×SD16—91no—
410C2×D8—31no—
411#121—91no—
412#103—91no—
413#102—31no—
414C22⋊C8—91no—
415C33#44911yescharacteristic, complemented, Sylow
416C23×C3—22no—
417C23×C3—21no—
418C23×C3—21no—
419C23×C3—21no—
420C23×C3—41no—
421C23×C3—41no—
422C23×C3—42no—
423C23×C3—61no—
424C23×C3—61no—
425C23×C3—91no—
426C23×C3—121no—
427C22×D3—21no—
428C22×D3—31no—
429C22×D3—31no—
430C22×D3—61no—
431C3×Q8—92no—
432C3×Q8—181no—
433C3×D4—22no—
434C3×D4—21no—
435C3×D4—21no—
436C3×D4—21no—
437C3×D4—22no—
438C3×D4—22no—
439C3×D4—22no—
440C3×D4—41no—
441C3×D4—41no—
442C3×D4—42no—
443C3×D4—42no—
444C3×D4—62no—
445C3×D4—61no—
446C3×D4—61no—
447C3×D4—61no—
448C3×D4—61no—
449C3×D4—121no—
450C3×D4—184no—
451C3×D4—362no—
452C3×D4#62612yescomplemented
453C3×D4C3×D1212yescomplemented
454C3×D4C3×#6712yescomplemented
455C2×C3×C4—21no—
456C2×C3×C4—21no—
457C2×C3×C4—21no—
458C2×C3×C4—41no—
459C2×C3×C4—61no—
460C2×C3×C4—61no—
461C2×C3×C4—91no—
462C2×C3×C4—121no—
463C2×C3×C4—184no—
464C2×C3×C4—181no—
465C2×C3×C4—181no—
466C2×C3×C4—181no—
467C2×C3×C4C2×D3211yescharacteristic
468C2×C3×C4C22×C3×D311yescharacteristic
469C2×C3×C4C22×C3×D311yescharacteristic
470#67—68no—
471#67—64no—
472#67—64no—
473#67—122no—
474C2×Dic3—21no—
475C2×Dic3—31no—
476C2×Dic3—31no—
477C2×Dic3—61no—
478C2×Dic3—62no—
479C2×Dic3—68no—
480C2×Dic3—64no—
481C2×Dic3—64no—
482C2×Dic3—61no—
483C2×Dic3—61no—
484D12—21no—
485D12—21no—
486D12—122no—
487C4×D3—62no—
488C4×D3—62no—
489C4×D3—61no—
490C4×D3—61no—
491C4×D3—61no—
492C4×D3—61no—
493Dic6—32no—
494Dic6—32no—
495Dic6—62no—
496Dic6—62no—
497Dic6—61no—
498Dic6—61no—
499C3×C8—62no—
500C3×C8—61no—
501C3×C8—61no—
502C3×C8—61no—
503C3×C8—61no—
504C3×C8—121no—
505C3⋊C8—21no—
506C3⋊C8—21no—
507C2×C32—21no—
508C2×C32—21no—
509C2×C32—21no—
510C2×C32—21no—
511C2×C32—21no—
512C2×C32—21no—
513C2×C32—21no—
514C2×C32—21no—
515C2×C32—21no—
516C2×C32—41no—
517C2×C32—41no—
518C2×C32—41no—
519C2×C32—42no—
520C2×C32—44no—
521C2×C32—42no—
522C2×C32—42no—
523C2×C32—82no—
524C2×C32—82no—
525C2×C32—84no—
526C2×C32—241no—
527C2×C32#88211yescharacteristic
528C2×C32#91111yescharacteristic
529C2×C32#91111yescharacteristic
530C2×C32#91211yescharacteristic
531C2×C32#91611yescharacteristic
532C2×C32#93711yescharacteristic
533C2×C32C3×#12011yescharacteristic
534C2×C32C3×#13511yescharacteristic
535C2×C32C3×AGL(1,ℤ/8)11yescharacteristic
536C3⋊D3—41no—
537C3×D3—82no—
538C3×D3—81no—
539C3×D3—81no—
540C3×D3—122no—
541C3×D3—121no—
542C3×D3—121no—
543#41—182no—
544#41—182no—
545C2×Q8—91no—
546C2×D4—31no—
547C2×D4—181no—
548C2×D4—181no—
549C2×D4C3×D3211yescharacteristic
550C22×C4—91no—
551C22×C4—181no—
552SD16—182no—
553D8—62no—
554C2×C8—31no—
555C2×C8—31no—
556C4⋊C4—31no—
557C22⋊C4—181no—
558C22×C3—24no—
559C22×C3—22no—
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—21no—
563C22×C3—21no—
564C22×C3—21no—
565C22×C3—42no—
566C22×C3—42no—
567C22×C3—44no—
568C22×C3—42no—
569C22×C3—42no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3—41no—
573C22×C3—41no—
574C22×C3—41no—
575C22×C3—41no—
576C22×C3—41no—
577C22×C3—81no—
578C22×C3—81no—
579C22×C3—81no—
580C22×C3—81no—
581C22×C3—82no—
582C22×C3—82no—
583C22×C3—122no—
584C22×C3—121no—
585C22×C3—121no—
586C22×C3—121no—
587C22×C3—121no—
588C22×C3—121no—
589C22×C3—121no—
590C22×C3—181no—
591C22×C3—181no—
592C22×C3—181no—
593C22×C3—241no—
594C22×C3—241no—
595C22×C3#381111yescharacteristic
596C22×C3C3×D3×D411yescharacteristic
597C22×C3C3×D3×D411yescharacteristic
598C2×D3—41no—
599C2×D3—41no—
600C2×D3—41no—
601C2×D3—62no—
602C2×D3—61no—
603C2×D3—61no—
604C2×D3—61no—
605C2×D3—61no—
606C2×D3—61no—
607C2×D3—61no—
608C2×D3—121no—
609C2×D3—121no—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—21no—
616C3×C4—41no—
617C3×C4—41no—
618C3×C4—121no—
619C3×C4—121no—
620C3×C4—181no—
621C3×C4—182no—
622C3×C4—241no—
623C3×C4C2×#62611yescharacteristic
624C3×C4#381111yescharacteristic
625C3×C4C2×C3×D1211yescharacteristic
626C3×C4C3×D3×D411yescharacteristic
627C3×C4C3×D3×D411yescharacteristic
628C3×C4C2×C3×#6711yescharacteristic
629Dic3—41no—
630Dic3—64no—
631Dic3—62no—
632Dic3—62no—
633Dic3—61no—
634Dic3—62no—
635Dic3—61no—
636C32—21no—
637C32—21no—
638C32—21no—
639C32—41no—
640C32#478111yescharacteristic, complemented
641C32#515811yescharacteristic, complemented
642C32C3×#44911yescharacteristic, complemented
643C23—21no—
644C23—61no—
645C23—91no—
646Q8—92no—
647Q8—181no—
648D4—21no—
649D4—61no—
650D4—61no—
651D4—184no—
652D4—362no—
653D4C3×#62612yescomplemented
654C2×C4—61no—
655C2×C4—91no—
656C2×C4—184no—
657C2×C4—181no—
658C2×C4—181no—
659C2×C4—181no—
660C2×C4C2×C3×D3211yescharacteristic
661C8—61no—
662C8—61no—
663C2×C3—21no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—21no—
667C2×C3—21no—
668C2×C3—21no—
669C2×C3—21no—
670C2×C3—21no—
671C2×C3—21no—
672C2×C3—44no—
673C2×C3—42no—
674C2×C3—42no—
675C2×C3—42no—
676C2×C3—41no—
677C2×C3—41no—
678C2×C3—41no—
679C2×C3—82no—
680C2×C3—82no—
681C2×C3—84no—
682C2×C3—242no—
683C2×C3—241no—
684C2×C3—241no—
685C2×C3—361no—
686C2×C3#6392711yescharacteristic
687C2×C3#6393611yescharacteristic
688C2×C3#6398111yescharacteristic
689C2×C3C3×#88211yescharacteristic
690C2×C3C3×#91111yescharacteristic
691C2×C3C3×#91111yescharacteristic
692C2×C3C3×#91211yescharacteristic
693C2×C3C3×#91611yescharacteristic
694C2×C3C3×#93711yescharacteristic
695D3—81no—
696D3—122no—
697D3—121no—
698D3—121no—
699C22—22no—
700C22—41no—
701C22—41no—
702C22—121no—
703C22—121no—
704C22—121no—
705C22—181no—
706C22—181no—
707C22—181no—
708C22C3×#381111yescharacteristic
709C4—121no—
710C4—181no—
711C4—182no—
712C4C2×C3×#62611yescharacteristic
713C4C3×#381111yescharacteristic
714C3—21no—
715C3—21no—
716C3—21no—
717C3—41no—
718C3#1059145711yescharacteristic, direct product factor
719C3C3×#478111yescharacteristic, complemented
720C3C3×#515811yescharacteristic, complemented
721C2—42no—
722C2—241no—
723C2—361no—
724C2C3×#6392711yescharacteristic
725C2C3×#6393611yescharacteristic
726C2C3×#6398111yescharacteristic
subgroupG/H
centerC22×C3#3811
commutator, cosocleC2×C32×C4C23×C3
FrattiniC2×C4C2×C3×D32
FittingC2×C33×D4C22
socleC22×C33C2×D4
hypercenterC2×C3×D4D32
hypocenterC32C3×#449
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×C4 ◁ C2×C3×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#3830C2semidirect
2. C2×C32×#213C2semidirect
3. C3×#63916C2semidirect
4. C2×C3×#3716C2semidirect
5. C32×#832C2semidirect
6. C3×#63567C2semidirect
7. C3×#63557C2semidirect
10. #10591457C3direct (N × H)
26. C2×#3830C2×C3semidirect
34. C2×C3×#213D3semidirect
35. C2×C3×#213C2×C3semidirect
38. #63916C2×C3semidirect
39. C2×#3716C2×C3semidirect
42. C3×#832D3semidirect
43. C3×#832C2×C3semidirect
48. #63567C2×C3semidirect
49. #63557C2×C3semidirect
54. C33×D4D4semidirect
63. C3×#634D4semidirect
159. C2×#213C3×D3semidirect
167. #832C3×D3semidirect
200. C32×D4D12semidirect
201. C32×D4#67semidirect
202. C32×D4C3×D4semidirect
218. #634C3×D4semidirect
415. C33#449semidirect
452. C3×D4#626semidirect
453. C3×D4C3×D12semidirect
454. C3×D4C3×#67semidirect
640. C32#4781semidirect
641. C32#5158semidirect
642. C32C3×#449semidirect
653. D4C3×#626semidirect
718. C3#10591457direct (N × H)
719. C3C3×#4781semidirect
720. C3C3×#5158semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#38302
C2×C32×#2132
C3×#639162
C2×C3×#37162
C32×#8322
C3×#635672
C3×#635572
C3×#51583
C3×#47813
#105914573