Finite Group Databasebeta

← C3×#69657 #11787533

Subgroups — C3×#69657 #11787533

Order 1152.

1005 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#213C211yesmaximal, characteristic
2C2×C3×C4×D12C211yesmaximal, characteristic, complemented
3C32×#390C211yesmaximal, characteristic, complemented
4C2×C3×#832C211yesmaximal, characteristic, complemented
5C2×C3×#809C211yesmaximal, characteristic, complemented
6C3×#4529C211yesmaximal, characteristic, complemented
7C3×#4524C211yesmaximal, characteristic, complemented
8C3×#1879—31nomaximal
9#69657C311yesmaximal, characteristic, direct product factor
10C22×C32×D4C2211yescharacteristic
11C22×C3×D12C2211yescharacteristic
12C22×C3×C4×D3—21no—
13C2×C32×C4⋊C4C2211yescharacteristic
14C2×C32×C22⋊C4—21no—
15C2×C32×C22⋊C4—21no—
16C2×C32×C42C2211yescharacteristic
17C2×C3×#213—22no—
18C2×C3×#213—22no—
19C2×C3×#213C414yescomplemented
20C2×C3×(C2×D3)⋊C4—21no—
21C2×C3×C4⋊Dic3C2211yescharacteristic
22C22×C3×C3⋊C8C2211yescharacteristic
23C22×C3×C3⋊C8C2211yescharacteristic
24C3×C4×D12—22no—
25C3×C4×D12—22no—
26C3×#832—22no—
27C3×#809—22no—
28C22×C3×D8—31no—
29C2×C3×C4×D4—31no—
30C22×#213C2×C311yescharacteristic
31C2×C4×D12C2×C311yescharacteristic, complemented
32C2×C3×#102—31no—
33C2×C3×#102—31no—
34C3×#390—21no—
35C3×#390D311yescharacteristic, complemented
36C3×#390C2×C311yescharacteristic, complemented
37C2×#832C2×C311yescharacteristic, complemented
38C2×#809C2×C311yescharacteristic, complemented
39C3×#340—31no—
40C3×#336—31no—
41#4529C2×C311yescharacteristic, complemented
42#4524C2×C311yescharacteristic, complemented
43C24×C32—21no—
44C23×C3×D3—21no—
45C2×C32×D4—21no—
46C2×C32×D4—21no—
47C2×C32×D4—21no—
48C2×C32×D4—21no—
49C2×C32×D4—21no—
50C2×C32×D4C2×C412yescomplemented
51C22×C32×C4—21no—
52C22×C32×C4D411yescharacteristic
53C22×C32×C4D411yescharacteristic
54C22×C32×C4C2311yescharacteristic
55C22×C3×Dic3—21no—
56C2×C3×D12—21no—
57C2×C3×D12—21no—
58C2×C3×D12—21no—
59C2×C3×D12C2×C412yes—
60C2×C3×D12D412yes—
61C2×C3×D12D412yes—
62C2×C3×C4×D3—24no—
63C2×C3×C4×D3—42no—
64C2×C3×C4×D3—42no—
65C32×C4⋊C4—21no—
66C32×C4⋊C4—21no—
67C32×C22⋊C4—42no—
68C32×C22⋊C4—42no—
69C32×C42—21no—
70C32×C42—21no—
71C3×#213—28no—
72C3×(C2×D3)⋊C4—24no—
73C3×C4⋊Dic3—21no—
74C3×C4⋊Dic3D412yes—
75C2×C3×C3⋊C8—21no—
76C2×C3×C3⋊C8—21no—
77C2×C3×C3⋊C8—21no—
78C2×C3×C3⋊C8—21no—
79C2×C3×C3⋊C8—21no—
80C2×C3×C3⋊C8C2×C412yescomplemented
81#1879—31noSylow
82C22×C3×D4—21no—
83C22×C3×D4—31no—
84C22×C3×D4C2×D311yescharacteristic
85C22×C3×D4C22×C311yescharacteristic
86C23×C3×C4—61no—
87C22×D12C22×C311yescharacteristic
88C22×C4×D3—21no—
89C2×C3×D8—34no—
90C2×C3×D8—62no—
91C2×C3×D8—62no—
92C22×C3×C8—31no—
93C22×C3×C8—31no—
94C3×C4×D4—62no—
95C3×C4×D4—62no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4—31no—
98C2×C3×C4⋊C4C2×D311yescharacteristic
99C2×C3×C4⋊C4C22×C311yescharacteristic
100C2×C3×C22⋊C4—22no—
101C2×C3×C22⋊C4—22no—
102C2×C3×C22⋊C4—21no—
103C2×C3×C22⋊C4—21no—
104C2×C3×C22⋊C4—21no—
105C2×C3×C22⋊C4—21no—
106C2×C3×C22⋊C4—61no—
107C2×C3×C42—21no—
108C2×C3×C42C2×D311yescharacteristic
109C2×C3×C42C22×C311yescharacteristic
110C2×#213—22no—
111C2×#213—22no—
112C2×#213C3×C414yescomplemented
113C2×(C2×D3)⋊C4—21no—
114C2×C4⋊Dic3C22×C311yescharacteristic
115C22×C3⋊C8C22×C311yescharacteristic
116C22×C3⋊C8C22×C311yescharacteristic
117C4×D12—22no—
118C4×D12—22no—
119C3×#102—62no—
120C3×#102—62no—
121#832—22no—
122#809—22no—
123C23×C32—22no—
124C23×C32—41no—
125C23×C32—41no—
126C23×C32—41no—
127C23×C32—41no—
128C23×C32—41no—
129C23×C32—41no—
130C23×C32C2×D411yescharacteristic
131C22×C3×D3—22no—
132C22×C3×D3—22no—
133C22×C3×D3—22no—
134C22×C3×D3—41no—
135C22×C3×D3—41no—
136C22×C3×D3—41no—
137C22×C3×D3—41no—
138C32×D4—22no—
139C32×D4—22no—
140C32×D4—41no—
141C32×D4—41no—
142C2×C32×C4—21no—
143C2×C32×C4—21no—
144C2×C32×C4—21no—
145C2×C32×C4—21no—
146C2×C32×C4—21no—
147C2×C32×C4—41no—
148C2×C32×C4—41no—
149C2×C32×C4—41no—
150C2×C32×C4D812yescomplemented
151C2×C32×C4C22×C411yescharacteristic
152C2×C32×C4C2×D411yescharacteristic
153C2×C32×C4C2×D411yescharacteristic
154C2×C32×C4C2×D411yescharacteristic
155C2×C32×C4#4111yescharacteristic
156C2×C32×C4#4111yescharacteristic
157C2×C3×Dic3—22no—
158C2×C3×Dic3—41no—
159C2×C3×Dic3—41no—
160C3×D12—22no—
161C3×D12—22no—
162C3×D12—22no—
163C3×D12C22⋊C414yescomplemented
164C3×C4×D3—48no—
165C3×C3⋊C8—22no—
166C3×C3⋊C8—41no—
167C22×D8—31no—
168C2×C4×D4—31no—
169C2×#102—31no—
170C2×#102—31no—
171#390C3×D311yescharacteristic, complemented
172#340—31no—
173#336—31no—
174C24×C3—22no—
175C24×C3—21no—
176C24×C3—21no—
177C24×C3—61no—
178C23×D3—21no—
179C2×C3×D4—22no—
180C2×C3×D4—21no—
181C2×C3×D4—21no—
182C2×C3×D4—21no—
183C2×C3×D4—21no—
184C2×C3×D4—21no—
185C2×C3×D4—21no—
186C2×C3×D4—21no—
187C2×C3×D4—21no—
188C2×C3×D4—21no—
189C2×C3×D4—21no—
190C2×C3×D4—22no—
191C2×C3×D4—32no—
192C2×C3×D4—32no—
193C2×C3×D4—32no—
194C2×C3×D4—41no—
195C2×C3×D4—41no—
196C2×C3×D4—41no—
197C2×C3×D4—41no—
198C2×C3×D4—61no—
199C2×C3×D4—61no—
200C2×C3×D4—61no—
201C2×C3×D4C4×D312yescomplemented
202C2×C3×D4C2×C3×C412yescomplemented
203C22×C3×C4—22no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—64no—
210C22×C3×C4—61no—
211C22×C3×C4—122no—
212C22×C3×C4—122no—
213C22×C3×C4#6711yescharacteristic
214C22×C3×C4#6711yescharacteristic
215C22×C3×C4C3×D411yescharacteristic
216C22×C3×C4C3×D411yescharacteristic
217C22×C3×C4C22×D311yescharacteristic
218C22×C3×C4C23×C311yescharacteristic
219C22×Dic3—21no—
220C2×D12—21no—
221C2×D12—21no—
222C2×D12—21no—
223C2×D12C2×C3×C412yes—
224C2×D12C3×D412yes—
225C2×D12C3×D412yes—
226C2×C4×D3—24no—
227C2×C4×D3—42no—
228C2×C4×D3—42no—
229C3×D8—68no—
230C2×C3×C8—32no—
231C2×C3×C8—61no—
232C2×C3×C8—61no—
233C2×C3×C8—61no—
234C2×C3×C8—61no—
235C2×C3×C8—61no—
236C3×C4⋊C4—21no—
237C3×C4⋊C4—21no—
238C3×C4⋊C4—21no—
239C3×C4⋊C4—21no—
240C3×C4⋊C4—32no—
241C3×C4⋊C4—41no—
242C3×C4⋊C4—41no—
243C3×C4⋊C4—61no—
244C3×C22⋊C4—44no—
245C3×C22⋊C4—42no—
246C3×C22⋊C4—42no—
247C3×C22⋊C4—44no—
248C3×C22⋊C4—42no—
249C3×C22⋊C4—42no—
250C3×C22⋊C4—64no—
251C3×C42—21no—
252C3×C42—21no—
253C3×C42—21no—
254C3×C42—21no—
255C3×C42—41no—
256C3×C42—41no—
257#213—28no—
258(C2×D3)⋊C4—24no—
259C4⋊Dic3—21no—
260C4⋊Dic3C3×D412yes—
261C2×C3⋊C8—21no—
262C2×C3⋊C8—21no—
263C2×C3⋊C8—21no—
264C2×C3⋊C8—21no—
265C2×C3⋊C8—21no—
266C2×C3⋊C8C2×C3×C412yescomplemented
267C22×C32—42no—
268C22×C32—42no—
269C22×C32—42no—
270C22×C32—81no—
271C22×C32—81no—
272C22×C32—81no—
273C22×C32—81no—
274C22×C32C4×D411yescharacteristic
275C22×C32#12011yescharacteristic
276C22×C32#12111yescharacteristic
277C22×C32C2×D811yescharacteristic
278C22×C32#13511yescharacteristic
279C22×C32AGL(1,ℤ/8)11yescharacteristic
280C22×C32AGL(1,ℤ/8)11yescharacteristic
281C2×C3×D3—24no—
282C2×C3×D3—42no—
283C2×C3×D3—42no—
284C2×C3×D3—42no—
285C2×C3×D3—42no—
286C2×C3×D3—42no—
287C2×C3×D3—42no—
288C32×C4—22no—
289C32×C4—41no—
290C32×C4—81no—
291C32×C4C2×C22⋊C411yescharacteristic
292C32×C4C4×D411yescharacteristic
293C32×C4#12111yescharacteristic
294C32×C4#12311yescharacteristic
295C3×Dic3—42no—
296C22×D4—31no—
297C22×D4C2×C3×D311yescharacteristic
298C23×C4—61no—
299C2×D8—34no—
300C2×D8—62no—
301C2×D8—62no—
302C22×C8—31no—
303C22×C8—31no—
304C4×D4—62no—
305C4×D4—62no—
306C2×C4⋊C4—31no—
307C2×C4⋊C4C2×C3×D311yescharacteristic
308C2×C22⋊C4—21no—
309C2×C22⋊C4—21no—
310C2×C22⋊C4—61no—
311C2×C42C2×C3×D311yescharacteristic
312#102—62no—
313#102—62no—
314C23×C3—24no—
315C23×C3—22no—
316C23×C3—22no—
317C23×C3—21no—
318C23×C3—42no—
319C23×C3—42no—
320C23×C3—42no—
321C23×C3—42no—
322C23×C3—42no—
323C23×C3—42no—
324C23×C3—41no—
325C23×C3—41no—
326C23×C3—41no—
327C23×C3—41no—
328C23×C3—41no—
329C23×C3—41no—
330C23×C3—41no—
331C23×C3—41no—
332C23×C3—41no—
333C23×C3—41no—
334C23×C3—41no—
335C23×C3—41no—
336C23×C3—62no—
337C23×C3—62no—
338C23×C3—62no—
339C23×C3—121no—
340C23×C3—121no—
341C23×C3—121no—
342C23×C3—121no—
343C23×C3C2×#6711yescharacteristic
344C23×C3C2×C3×D411yescharacteristic
345C22×D3—22no—
346C22×D3—22no—
347C22×D3—22no—
348C22×D3—41no—
349C22×D3—41no—
350C22×D3—41no—
351C22×D3—41no—
352C3×D4—22no—
353C3×D4—22no—
354C3×D4—22no—
355C3×D4—22no—
356C3×D4—34no—
357C3×D4—42no—
358C3×D4—42no—
359C3×D4—42no—
360C3×D4—42no—
361C3×D4—41no—
362C3×D4—41no—
363C3×D4—41no—
364C3×D4—41no—
365C3×D4—62no—
366C3×D4—62no—
367C3×D4—62no—
368C2×C3×C4—21no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—21no—
372C2×C3×C4—22no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—22no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—41no—
387C2×C3×C4—41no—
388C2×C3×C4—41no—
389C2×C3×C4—41no—
390C2×C3×C4—42no—
391C2×C3×C4—42no—
392C2×C3×C4—42no—
393C2×C3×C4—41no—
394C2×C3×C4—41no—
395C2×C3×C4—41no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—41no—
399C2×C3×C4—62no—
400C2×C3×C4—128no—
401C2×C3×C4—121no—
402C2×C3×C4—121no—
403C2×C3×C4#21312yescomplemented
404C2×C3×C4C3×D812yescomplemented
405C2×C3×C4C2×C4×D311yescharacteristic
406C2×C3×C4#23511yescharacteristic
407C2×C3×C4D3×D411yescharacteristic
408C2×C3×C4D3×D411yescharacteristic
409C2×C3×C4D3×D411yescharacteristic
410C2×C3×C4#23711yescharacteristic
411C2×C3×C4C22×C3×C411yescharacteristic
412C2×C3×C4C2×C3×D411yescharacteristic
413C2×C3×C4C2×C3×D411yescharacteristic
414C2×C3×C4C2×C3×D411yescharacteristic
415C2×C3×C4C3×#4111yescharacteristic
416C2×C3×C4C3×#4111yescharacteristic
417C2×Dic3—22no—
418C2×Dic3—41no—
419C2×Dic3—41no—
420D12—22no—
421D12—22no—
422D12—22no—
423D12C3×C22⋊C414yescomplemented
424C4×D3—48no—
425C3×C8—62no—
426C3×C8—121no—
427C3⋊C8—22no—
428C3⋊C8—41no—
429C2×C32—82no—
430C2×C32#38611yescharacteristic
431C2×C32C4×D811yescharacteristic
432C2×C32#44211yescharacteristic
433C2×C32#44711yescharacteristic
434C2×C32#44911yescharacteristic
435C2×C32#45911yescharacteristic
436C2×C32#46311yescharacteristic
437C3×D3—44no—
438C24—21no—
439C24—61no—
440C2×D4—21no—
441C2×D4—21no—
442C2×D4—21no—
443C2×D4—21no—
444C2×D4—21no—
445C2×D4—32no—
446C2×D4—32no—
447C2×D4—32no—
448C2×D4—61no—
449C2×D4—61no—
450C2×D4—61no—
451C2×D4C3×C4×D312yescomplemented
452C22×C4—21no—
453C22×C4—64no—
454C22×C4—61no—
455C22×C4—122no—
456C22×C4—122no—
457C22×C4C3×#6711yescharacteristic
458C22×C4C3×#6711yescharacteristic
459C22×C4C22×C3×D311yescharacteristic
460D8—68no—
461C2×C8—32no—
462C2×C8—61no—
463C2×C8—61no—
464C2×C8—61no—
465C2×C8—61no—
466C2×C8—61no—
467C4⋊C4—21no—
468C4⋊C4—21no—
469C4⋊C4—32no—
470C4⋊C4—61no—
471C22⋊C4—42no—
472C22⋊C4—42no—
473C22⋊C4—64no—
474C42—21no—
475C42—21no—
476C22×C3—21no—
477C22×C3—21no—
478C22×C3—21no—
479C22×C3—21no—
480C22×C3—21no—
481C22×C3—21no—
482C22×C3—21no—
483C22×C3—44no—
484C22×C3—44no—
485C22×C3—44no—
486C22×C3—42no—
487C22×C3—42no—
488C22×C3—42no—
489C22×C3—42no—
490C22×C3—42no—
491C22×C3—42no—
492C22×C3—64no—
493C22×C3—82no—
494C22×C3—82no—
495C22×C3—82no—
496C22×C3—82no—
497C22×C3—81no—
498C22×C3—81no—
499C22×C3—81no—
500C22×C3—81no—
501C22×C3—81no—
502C22×C3—81no—
503C22×C3—81no—
504C22×C3—81no—
505C22×C3—122no—
506C22×C3—122no—
507C22×C3—122no—
508C22×C3—122no—
509C22×C3—122no—
510C22×C3—122no—
511C22×C3C4×#6711yescharacteristic
512C22×C3C2×#21311yescharacteristic
513C22×C3#93211yescharacteristic
514C22×C3#93711yescharacteristic
515C22×C3#93811yescharacteristic
516C22×C3#94911yescharacteristic
517C22×C3#95011yescharacteristic
518C22×C3C3×C4×D411yescharacteristic
519C22×C3C3×#12011yescharacteristic
520C22×C3C3×#12111yescharacteristic
521C22×C3C2×C3×D811yescharacteristic
522C22×C3C3×#13511yescharacteristic
523C22×C3C3×AGL(1,ℤ/8)11yescharacteristic
524C22×C3C3×AGL(1,ℤ/8)11yescharacteristic
525C2×D3—24no—
526C2×D3—42no—
527C2×D3—42no—
528C2×D3—42no—
529C2×D3—42no—
530C2×D3—42no—
531C2×D3—42no—
532C3×C4—22no—
533C3×C4—22no—
534C3×C4—21no—
535C3×C4—21no—
536C3×C4—21no—
537C3×C4—21no—
538C3×C4—42no—
539C3×C4—42no—
540C3×C4—41no—
541C3×C4—41no—
542C3×C4—82no—
543C3×C4—81no—
544C3×C4—81no—
545C3×C4—122no—
546C3×C4D3×C22⋊C411yescharacteristic
547C3×C4#67⋊C411yescharacteristic
548C3×C4#88311yescharacteristic
549C3×C4#88411yescharacteristic
550C3×C4C2×C3×C22⋊C411yescharacteristic
551C3×C4C3×C4×D411yescharacteristic
552C3×C4C3×#12111yescharacteristic
553C3×C4C3×#12311yescharacteristic
554Dic3—42no—
555C32#187911yescharacteristic, complemented, Sylow
556C23—22no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—62no—
564C23—62no—
565C23—62no—
566C23—121no—
567C23—121no—
568C23—121no—
569C23—121no—
570C23C2×C3×#6711yescharacteristic
571D4—22no—
572D4—22no—
573D4—34no—
574D4—41no—
575D4—41no—
576D4—62no—
577D4—62no—
578D4—62no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—62no—
588C2×C4—128no—
589C2×C4—121no—
590C2×C4—121no—
591C2×C4C3×#21312yescomplemented
592C2×C4C2×C3×C4×D311yescharacteristic
593C2×C4C3×#23511yescharacteristic
594C2×C4C3×D3×D411yescharacteristic
595C2×C4C3×D3×D411yescharacteristic
596C2×C4C3×D3×D411yescharacteristic
597C2×C4C3×#23711yescharacteristic
598C8—62no—
599C8—121no—
600C2×C3—21no—
601C2×C3—21no—
602C2×C3—21no—
603C2×C3—21no—
604C2×C3—21no—
605C2×C3—21no—
606C2×C3—21no—
607C2×C3—84no—
608C2×C3—82no—
609C2×C3—82no—
610C2×C3—124no—
611C2×C3#495611yescharacteristic
612C2×C3C4×#21311yescharacteristic
613C2×C3#501411yescharacteristic
614C2×C3#503611yescharacteristic
615C2×C3#503711yescharacteristic
616C2×C3#505711yescharacteristic
617C2×C3#507211yescharacteristic
618C2×C3C3×#38611yescharacteristic
619C2×C3C3×C4×D811yescharacteristic
620C2×C3C3×#44211yescharacteristic
621C2×C3C3×#44711yescharacteristic
622C2×C3C3×#44911yescharacteristic
623C2×C3C3×#45911yescharacteristic
624C2×C3C3×#46311yescharacteristic
625D3—44no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22—64no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—122no—
635C22—122no—
636C22—122no—
637C22—122no—
638C22—122no—
639C22—122no—
640C22C3×C4×#6711yescharacteristic
641C22C2×C3×#21311yescharacteristic
642C22C3×#93211yescharacteristic
643C22C3×#93711yescharacteristic
644C22C3×#93811yescharacteristic
645C22C3×#94911yescharacteristic
646C22C3×#95011yescharacteristic
647C4—22no—
648C4—41no—
649C4—81no—
650C4—122no—
651C4C3×D3×C22⋊C411yescharacteristic
652C4C3×#67⋊C411yescharacteristic
653C4C3×#88311yescharacteristic
654C4C3×#88411yescharacteristic
655C3—21no—
656C3#6965711yescharacteristic, direct product factor
657C3C3×#187911yescharacteristic, complemented
658C2—82no—
659C2—124no—
660C2C3×#495611yescharacteristic
661C2C3×C4×#21311yescharacteristic
662C2C3×#501411yescharacteristic
663C2C3×#503611yescharacteristic
664C2C3×#503711yescharacteristic
665C2C3×#505711yescharacteristic
666C2C3×#507211yescharacteristic
subgroupG/H
centerC23×C3C2×#67
commutatorC2×C3×C4C22×C3×C4
FrattiniC22×C4C22×C3×D3
FittingC32×#390C2
socleC23×C32C2×D4
prime radicalC22×C3×#213C2
cosocleC22×C3×C4C23×C3
hypercenterC3×#390D3
hypocenterC3C3×#1879
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C2×C3×C42 ◁ C3×#390

Complements

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

NH ≅ G/Ntype
2. C2×C3×C4×D12C2semidirect
3. C32×#390C2semidirect
4. C2×C3×#832C2semidirect
5. C2×C3×#809C2semidirect
6. C3×#4529C2semidirect
7. C3×#4524C2semidirect
9. #69657C3direct (N × H)
19. C2×C3×#213C4semidirect
31. C2×C4×D12C2×C3semidirect
35. C3×#390D3semidirect
36. C3×#390C2×C3semidirect
37. C2×#832C2×C3semidirect
38. C2×#809C2×C3semidirect
41. #4529C2×C3semidirect
42. #4524C2×C3semidirect
50. C2×C32×D4C2×C4semidirect
80. C2×C3×C3⋊C8C2×C4semidirect
112. C2×#213C3×C4semidirect
150. C2×C32×C4D8semidirect
163. C3×D12C22⋊C4semidirect
171. #390C3×D3semidirect
201. C2×C3×D4C4×D3semidirect
202. C2×C3×D4C2×C3×C4semidirect
266. C2×C3⋊C8C2×C3×C4semidirect
403. C2×C3×C4#213semidirect
404. C2×C3×C4C3×D8semidirect
423. D12C3×C22⋊C4semidirect
451. C2×D4C3×C4×D3semidirect
555. C32#1879semidirect
591. C2×C4C3×#213semidirect
656. C3#69657direct (N × H)
657. C3C3×#1879semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#2132
C2×C3×C4×D122
C32×#3902
C2×C3×#8322
C2×C3×#8092
C3×#45292
C3×#45242
C3×#18793
#696573