Finite Group Databasebeta

← C3×#71613 #11787524

Subgroups — C3×#71613 #11787524

Order 1152.

1089 conjugacy classes of subgroups.

The subgroup lattice has 673 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×C4×D4C211yesmaximal, characteristic, complemented
2C22×C3×#213C211yesmaximal, characteristic
3C2×C3×#832C211yesmaximal, characteristic, complemented
4C2×C3×#809C211yesmaximal, characteristic, complemented
5C3×#4939C211yesmaximal, characteristic, complemented
6C3×#4529C211yesmaximal, characteristic, complemented
7C3×#4524C211yesmaximal, characteristic, complemented
8C3×#1879—31nomaximal
9#71613C311yesmaximal, characteristic, direct product factor
10C22×C32×D4C2211yescharacteristic
11C23×C32×C4—21no—
12C22×C3×D12C2211yescharacteristic
13C32×C4×D4—22no—
14C32×C4×D4—22no—
15C2×C32×C4⋊C4C2211yescharacteristic
16C2×C32×C22⋊C4—21no—
17C2×C32×C42C2211yescharacteristic
18C2×C3×#213—22no—
19C2×C3×#213—22no—
20C2×C3×#213C414yescomplemented
21C2×C3×(C2×D3)⋊C4—21no—
22C2×C3×(C2×D3)⋊C4—21no—
23C2×C3×C4⋊Dic3C2211yescharacteristic
24C22×C3×C3⋊C8C2211yescharacteristic
25C22×C3×C3⋊C8C2211yescharacteristic
26C3×#832—22no—
27C3×#809—22no—
28C22×C3×D8—31no—
29C2×C3×C4×D4—21no—
30C2×C3×C4×D4D311yescharacteristic, complemented
31C2×C3×C4×D4C2×C311yescharacteristic, complemented
32C22×#213C2×C311yescharacteristic
33C2×C3×#102—31no—
34C2×C3×#102—31no—
35C3×#390—31no—
36C2×#832C2×C311yescharacteristic, complemented
37C2×#809C2×C311yescharacteristic, complemented
38#4939C2×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×D4C2×C412yes—
49C2×C32×D4D412yes—
50C2×C32×D4D412yes—
51C22×C32×C4—24no—
52C22×C32×C4—21no—
53C22×C32×C4—42no—
54C22×C32×C4—42no—
55C22×C32×C4D411yescharacteristic
56C22×C32×C4D411yescharacteristic
57C22×C32×C4C2311yescharacteristic
58C22×C3×Dic3—21no—
59C2×C3×D12—21no—
60C2×C3×D12—21no—
61C2×C3×D12—21no—
62C2×C3×D12—21no—
63C2×C3×D12—21no—
64C2×C3×D12C2×C412yescomplemented
65C32×C4⋊C4—21no—
66C32×C4⋊C4D412yes—
67C32×C22⋊C4—24no—
68C32×C42—21no—
69C32×C42—21no—
70C3×#213—28no—
71C3×(C2×D3)⋊C4—42no—
72C3×(C2×D3)⋊C4—42no—
73C3×C4⋊Dic3—21no—
74C3×C4⋊Dic3—21no—
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—22no—
87C23×C3×C4—21no—
88C23×C3×C4—21no—
89C22×D12C22×C311yescharacteristic
90C2×C3×D8—34no—
91C2×C3×D8—62no—
92C2×C3×D8—62no—
93C22×C3×C8—31no—
94C22×C3×C8—31no—
95C3×C4×D4—24no—
96C3×C4×D4—24no—
97C3×C4×D4—22no—
98C3×C4×D4—22no—
99C3×C4×D4—22no—
100C3×C4×D4—22no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4—31no—
103C2×C3×C4⋊C4C2×D311yescharacteristic
104C2×C3×C4⋊C4C22×C311yescharacteristic
105C2×C3×C22⋊C4—22no—
106C2×C3×C22⋊C4—21no—
107C2×C3×C22⋊C4—21no—
108C2×C3×C22⋊C4—61no—
109C2×C3×C22⋊C4—61no—
110C2×C3×C42—21no—
111C2×C3×C42C2×D311yescharacteristic
112C2×C3×C42C22×C311yescharacteristic
113C2×#213—22no—
114C2×#213—22no—
115C2×#213C3×C414yescomplemented
116C2×(C2×D3)⋊C4—21no—
117C2×(C2×D3)⋊C4—21no—
118C2×C4⋊Dic3C22×C311yescharacteristic
119C22×C3⋊C8C22×C311yescharacteristic
120C22×C3⋊C8C22×C311yescharacteristic
121C3×#102—62no—
122C3×#102—62no—
123#832—22no—
124#809—22no—
125C23×C32—22no—
126C23×C32—22no—
127C23×C32—22no—
128C23×C32—41no—
129C23×C32—41no—
130C23×C32—41no—
131C23×C32—41no—
132C23×C32C2×D411yescharacteristic
133C22×C3×D3—22no—
134C22×C3×D3—41no—
135C22×C3×D3—41no—
136C22×C3×D3—41no—
137C22×C3×D3—41no—
138C22×C3×D3—41no—
139C22×C3×D3—41no—
140C32×D4—22no—
141C32×D4—22no—
142C32×D4—22no—
143C32×D4C22⋊C414yescomplemented
144C2×C32×C4—21no—
145C2×C32×C4—21no—
146C2×C32×C4—21no—
147C2×C32×C4—22no—
148C2×C32×C4—21no—
149C2×C32×C4—21no—
150C2×C32×C4—48no—
151C2×C32×C4—41no—
152C2×C32×C4—41no—
153C2×C32×C4D812yescomplemented
154C2×C32×C4C22×C411yescharacteristic
155C2×C32×C4C2×D411yescharacteristic
156C2×C32×C4C2×D411yescharacteristic
157C2×C32×C4C2×D411yescharacteristic
158C2×C32×C4#4111yescharacteristic
159C2×C32×C4#4111yescharacteristic
160C2×C3×Dic3—41no—
161C2×C3×Dic3—41no—
162C2×C3×Dic3—41no—
163C3×D12—22no—
164C3×D12—22no—
165C3×D12—41no—
166C3×D12—41no—
167C3×C3⋊C8—22no—
168C3×C3⋊C8—41no—
169C22×D8—31no—
170C2×C4×D4C3×D311yescharacteristic, complemented
171C2×#102—31no—
172C2×#102—31no—
173#390—31no—
174#340—31no—
175#336—31no—
176C24×C3—22no—
177C24×C3—21no—
178C24×C3—21no—
179C24×C3—61no—
180C23×D3—21no—
181C2×C3×D4—22no—
182C2×C3×D4—22no—
183C2×C3×D4—22no—
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—22no—
192C2×C3×D4—22no—
193C2×C3×D4—32no—
194C2×C3×D4—61no—
195C2×C3×D4—61no—
196C2×C3×D4—61no—
197C2×C3×D4—61no—
198C2×C3×D4—61no—
199C2×C3×D4C4×D312yes—
200C2×C3×D4D1212yes—
201C2×C3×D4#6712yes—
202C2×C3×D4C2×C3×C412yes—
203C2×C3×D4C3×D412yes—
204C2×C3×D4C3×D412yes—
205C22×C3×C4—22no—
206C22×C3×C4—28no—
207C22×C3×C4—24no—
208C22×C3×C4—24no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—44no—
215C22×C3×C4—42no—
216C22×C3×C4—42no—
217C22×C3×C4—44no—
218C22×C3×C4—42no—
219C22×C3×C4—42no—
220C22×C3×C4—61no—
221C22×C3×C4#6711yescharacteristic
222C22×C3×C4#6711yescharacteristic
223C22×C3×C4C3×D411yescharacteristic
224C22×C3×C4C3×D411yescharacteristic
225C22×C3×C4C22×D311yescharacteristic
226C22×C3×C4C23×C311yescharacteristic
227C22×Dic3—21no—
228C2×D12—21no—
229C2×D12—21no—
230C2×D12—21no—
231C2×D12—21no—
232C2×D12—21no—
233C2×D12C2×C3×C412yescomplemented
234C3×D8—68no—
235C2×C3×C8—32no—
236C2×C3×C8—61no—
237C2×C3×C8—61no—
238C2×C3×C8—61no—
239C2×C3×C8—61no—
240C2×C3×C8—61no—
241C3×C4⋊C4—22no—
242C3×C4⋊C4—21no—
243C3×C4⋊C4—21no—
244C3×C4⋊C4—22no—
245C3×C4⋊C4—61no—
246C3×C4⋊C4—61no—
247C3×C4⋊C4#6712yes—
248C3×C4⋊C4C3×D412yes—
249C3×C22⋊C4—28no—
250C3×C22⋊C4—24no—
251C3×C22⋊C4—24no—
252C3×C22⋊C4—122no—
253C3×C22⋊C4—122no—
254C3×C42—22no—
255C3×C42—22no—
256C3×C42—21no—
257C3×C42—21no—
258C3×C42—21no—
259C3×C42—21no—
260#213—28no—
261(C2×D3)⋊C4—42no—
262(C2×D3)⋊C4—42no—
263C4⋊Dic3—21no—
264C4⋊Dic3—21no—
265C2×C3⋊C8—21no—
266C2×C3⋊C8—21no—
267C2×C3⋊C8—21no—
268C2×C3⋊C8—21no—
269C2×C3⋊C8—21no—
270C2×C3⋊C8C2×C3×C412yescomplemented
271C22×C32—24no—
272C22×C32—42no—
273C22×C32—42no—
274C22×C32—42no—
275C22×C32—42no—
276C22×C32—42no—
277C22×C32—42no—
278C22×C32C4×D411yescharacteristic
279C22×C32#12011yescharacteristic
280C22×C32#12111yescharacteristic
281C22×C32C2×D811yescharacteristic
282C22×C32#13511yescharacteristic
283C22×C32AGL(1,ℤ/8)11yescharacteristic
284C22×C32AGL(1,ℤ/8)11yescharacteristic
285C2×C3×D3—42no—
286C2×C3×D3—42no—
287C2×C3×D3—42no—
288C2×C3×D3—81no—
289C2×C3×D3—81no—
290C2×C3×D3—81no—
291C2×C3×D3—81no—
292C32×C4—22no—
293C32×C4—42no—
294C32×C4—41no—
295C32×C4C2×C22⋊C411yescharacteristic
296C32×C4C4×D411yescharacteristic
297C32×C4#12111yescharacteristic
298C32×C4#12311yescharacteristic
299C3×Dic3—81no—
300C22×D4—31no—
301C22×D4C2×C3×D311yescharacteristic
302C23×C4—21no—
303C2×D8—34no—
304C2×D8—62no—
305C2×D8—62no—
306C22×C8—31no—
307C22×C8—31no—
308C4×D4—22no—
309C4×D4—22no—
310C2×C4⋊C4—31no—
311C2×C4⋊C4C2×C3×D311yescharacteristic
312C2×C22⋊C4—21no—
313C2×C22⋊C4—61no—
314C2×C22⋊C4—61no—
315C2×C42C2×C3×D311yescharacteristic
316#102—62no—
317#102—62no—
318C23×C3—24no—
319C23×C3—24no—
320C23×C3—24no—
321C23×C3—22no—
322C23×C3—22no—
323C23×C3—22no—
324C23×C3—22no—
325C23×C3—22no—
326C23×C3—22no—
327C23×C3—21no—
328C23×C3—42no—
329C23×C3—42no—
330C23×C3—42no—
331C23×C3—42no—
332C23×C3—41no—
333C23×C3—41no—
334C23×C3—41no—
335C23×C3—41no—
336C23×C3—41no—
337C23×C3—41no—
338C23×C3—41no—
339C23×C3—41no—
340C23×C3—62no—
341C23×C3—121no—
342C23×C3—121no—
343C23×C3—121no—
344C23×C3—121no—
345C23×C3—121no—
346C23×C3—121no—
347C23×C3C2×#6711yescharacteristic
348C23×C3C2×C3×D411yescharacteristic
349C22×D3—22no—
350C22×D3—41no—
351C22×D3—41no—
352C22×D3—41no—
353C22×D3—41no—
354C22×D3—41no—
355C22×D3—41no—
356C3×D4—24no—
357C3×D4—24no—
358C3×D4—24no—
359C3×D4—22no—
360C3×D4—22no—
361C3×D4—22no—
362C3×D4—22no—
363C3×D4—22no—
364C3×D4—22no—
365C3×D4—24no—
366C3×D4—62no—
367C3×D4—62no—
368C3×D4—121no—
369C3×D4—121no—
370C3×D4(C2×D3)⋊C414yescomplemented
371C3×D4C3×C22⋊C414yescomplemented
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—22no—
379C2×C3×C4—24no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—22no—
384C2×C3×C4—21no—
385C2×C3×C4—22no—
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—22no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—21no—
393C2×C3×C4—21no—
394C2×C3×C4—21no—
395C2×C3×C4—41no—
396C2×C3×C4—41no—
397C2×C3×C4—416no—
398C2×C3×C4—48no—
399C2×C3×C4—48no—
400C2×C3×C4—42no—
401C2×C3×C4—42no—
402C2×C3×C4—41no—
403C2×C3×C4—41no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—121no—
407C2×C3×C4—121no—
408C2×C3×C4—121no—
409C2×C3×C4#21312yescomplemented
410C2×C3×C4C3×D812yescomplemented
411C2×C3×C4C2×C4×D311yescharacteristic
412C2×C3×C4C2×D1211yescharacteristic
413C2×C3×C4#23511yescharacteristic
414C2×C3×C4#23511yescharacteristic
415C2×C3×C4C2×#6711yescharacteristic
416C2×C3×C4C2×#6711yescharacteristic
417C2×C3×C4C22×C3×C411yescharacteristic
418C2×C3×C4C2×C3×D411yescharacteristic
419C2×C3×C4C2×C3×D411yescharacteristic
420C2×C3×C4C2×C3×D411yescharacteristic
421C2×C3×C4C3×#4111yescharacteristic
422C2×C3×C4C3×#4111yescharacteristic
423C2×Dic3—41no—
424C2×Dic3—41no—
425C2×Dic3—41no—
426D12—22no—
427D12—22no—
428D12—41no—
429D12—41no—
430C3×C8—62no—
431C3×C8—121no—
432C3⋊C8—22no—
433C3⋊C8—41no—
434C2×C32—44no—
435C2×C32#38611yescharacteristic
436C2×C32C4×D811yescharacteristic
437C2×C32#44211yescharacteristic
438C2×C32#44711yescharacteristic
439C2×C32#44911yescharacteristic
440C2×C32#45911yescharacteristic
441C2×C32#46311yescharacteristic
442C3×D3—82no—
443C24—21no—
444C24—61no—
445C2×D4—21no—
446C2×D4—21no—
447C2×D4—21no—
448C2×D4—32no—
449C2×D4—61no—
450C2×D4—61no—
451C2×D4—61no—
452C2×D4—61no—
453C2×D4—61no—
454C2×D4C3×C4×D312yes—
455C2×D4C3×D1212yes—
456C2×D4C3×#6712yes—
457C22×C4—24no—
458C22×C4—21no—
459C22×C4—42no—
460C22×C4—42no—
461C22×C4—61no—
462C22×C4C3×#6711yescharacteristic
463C22×C4C3×#6711yescharacteristic
464C22×C4C22×C3×D311yescharacteristic
465D8—68no—
466C2×C8—32no—
467C2×C8—61no—
468C2×C8—61no—
469C2×C8—61no—
470C2×C8—61no—
471C2×C8—61no—
472C4⋊C4—21no—
473C4⋊C4—61no—
474C4⋊C4—61no—
475C4⋊C4C3×#6712yes—
476C22⋊C4—24no—
477C22⋊C4—122no—
478C22⋊C4—122no—
479C42—21no—
480C42—21no—
481C22×C3—28no—
482C22×C3—24no—
483C22×C3—24no—
484C22×C3—21no—
485C22×C3—21no—
486C22×C3—21no—
487C22×C3—21no—
488C22×C3—21no—
489C22×C3—21no—
490C22×C3—21no—
491C22×C3—44no—
492C22×C3—44no—
493C22×C3—44no—
494C22×C3—44no—
495C22×C3—44no—
496C22×C3—44no—
497C22×C3—42no—
498C22×C3—42no—
499C22×C3—42no—
500C22×C3—42no—
501C22×C3—42no—
502C22×C3—42no—
503C22×C3—42no—
504C22×C3—42no—
505C22×C3—42no—
506C22×C3—42no—
507C22×C3—42no—
508C22×C3—42no—
509C22×C3—122no—
510C22×C3—122no—
511C22×C3—122no—
512C22×C3—241no—
513C22×C3—241no—
514C22×C3—241no—
515C22×C3—241no—
516C22×C3C4×#6711yescharacteristic
517C22×C3#93011yescharacteristic
518C22×C3C2×#21311yescharacteristic
519C22×C3#93211yescharacteristic
520C22×C3#94911yescharacteristic
521C22×C3#95011yescharacteristic
522C22×C3#95311yescharacteristic
523C22×C3C3×C4×D411yescharacteristic
524C22×C3C3×#12011yescharacteristic
525C22×C3C3×#12111yescharacteristic
526C22×C3C2×C3×D811yescharacteristic
527C22×C3C3×#13511yescharacteristic
528C22×C3C3×AGL(1,ℤ/8)11yescharacteristic
529C22×C3C3×AGL(1,ℤ/8)11yescharacteristic
530C2×D3—42no—
531C2×D3—42no—
532C2×D3—42no—
533C2×D3—81no—
534C2×D3—81no—
535C2×D3—81no—
536C2×D3—81no—
537C3×C4—24no—
538C3×C4—22no—
539C3×C4—22no—
540C3×C4—21no—
541C3×C4—21no—
542C3×C4—21no—
543C3×C4—21no—
544C3×C4—44no—
545C3×C4—42no—
546C3×C4—42no—
547C3×C4—41no—
548C3×C4—42no—
549C3×C4—41no—
550C3×C4—241no—
551C3×C4C2×(C2×D3)⋊C411yescharacteristic
552C3×C4C4×#6711yescharacteristic
553C3×C4#92911yescharacteristic
554C3×C4#93011yescharacteristic
555C3×C4C2×C3×C22⋊C411yescharacteristic
556C3×C4C3×C4×D411yescharacteristic
557C3×C4C3×#12111yescharacteristic
558C3×C4C3×#12311yescharacteristic
559Dic3—81no—
560C32#187911yescharacteristic, complemented, Sylow
561C23—22no—
562C23—22no—
563C23—22no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—62no—
569C23—121no—
570C23—121no—
571C23—121no—
572C23—121no—
573C23—121no—
574C23—121no—
575C23C2×C3×#6711yescharacteristic
576D4—22no—
577D4—22no—
578D4—22no—
579D4—62no—
580D4—62no—
581D4—121no—
582D4—121no—
583D4C3×(C2×D3)⋊C414yescomplemented
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—48no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—121no—
594C2×C4—121no—
595C2×C4—121no—
596C2×C4C3×#21312yescomplemented
597C2×C4C2×C3×C4×D311yescharacteristic
598C2×C4C2×C3×D1211yescharacteristic
599C2×C4C3×#23511yescharacteristic
600C2×C4C3×#23511yescharacteristic
601C2×C4C2×C3×#6711yescharacteristic
602C2×C4C2×C3×#6711yescharacteristic
603C8—62no—
604C8—121no—
605C2×C3—21no—
606C2×C3—21no—
607C2×C3—21no—
608C2×C3—21no—
609C2×C3—21no—
610C2×C3—21no—
611C2×C3—21no—
612C2×C3—48no—
613C2×C3—44no—
614C2×C3—44no—
615C2×C3—242no—
616C2×C3C4×#21311yescharacteristic
617C2×C3#501411yescharacteristic
618C2×C3#501511yescharacteristic
619C2×C3#501611yescharacteristic
620C2×C3#521311yescharacteristic
621C2×C3#521711yescharacteristic
622C2×C3#523811yescharacteristic
623C2×C3C3×#38611yescharacteristic
624C2×C3C3×C4×D811yescharacteristic
625C2×C3C3×#44211yescharacteristic
626C2×C3C3×#44711yescharacteristic
627C2×C3C3×#44911yescharacteristic
628C2×C3C3×#45911yescharacteristic
629C2×C3C3×#46311yescharacteristic
630D3—82no—
631C22—24no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22—42no—
638C22—122no—
639C22—122no—
640C22—122no—
641C22—241no—
642C22—241no—
643C22—241no—
644C22—241no—
645C22C3×C4×#6711yescharacteristic
646C22C3×#93011yescharacteristic
647C22C2×C3×#21311yescharacteristic
648C22C3×#93211yescharacteristic
649C22C3×#94911yescharacteristic
650C22C3×#95011yescharacteristic
651C22C3×#95311yescharacteristic
652C4—22no—
653C4—42no—
654C4—41no—
655C4—241no—
656C4C2×C3×(C2×D3)⋊C411yescharacteristic
657C4C3×C4×#6711yescharacteristic
658C4C3×#92911yescharacteristic
659C4C3×#93011yescharacteristic
660C3—21no—
661C3#7161311yescharacteristic, direct product factor
662C3C3×#187911yescharacteristic, complemented
663C2—44no—
664C2—242no—
665C2C3×C4×#21311yescharacteristic
666C2C3×#501411yescharacteristic
667C2C3×#501511yescharacteristic
668C2C3×#501611yescharacteristic
669C2C3×#521311yescharacteristic
670C2C3×#521711yescharacteristic
671C2C3×#523811yescharacteristic
subgroupG/H
centerC23×C3C2×#67
commutatorC2×C3×C4C22×C3×C4
FrattiniC22×C4C22×C3×D3
FittingC2×C32×C4×D4C2
socleC23×C32C2×D4
prime radicalC22×C3×#213C2
cosocleC22×C3×C4C23×C3
hypercenterC2×C3×C4×D4D3
hypocenterC3C3×#1879
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C2×C3×C42 ◁ C2×C3×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×C32×C4×D4C2semidirect
3. C2×C3×#832C2semidirect
4. C2×C3×#809C2semidirect
5. C3×#4939C2semidirect
6. C3×#4529C2semidirect
7. C3×#4524C2semidirect
9. #71613C3direct (N × H)
20. C2×C3×#213C4semidirect
30. C2×C3×C4×D4D3semidirect
31. C2×C3×C4×D4C2×C3semidirect
36. C2×#832C2×C3semidirect
37. C2×#809C2×C3semidirect
38. #4939C2×C3semidirect
41. #4529C2×C3semidirect
42. #4524C2×C3semidirect
64. C2×C3×D12C2×C4semidirect
80. C2×C3×C3⋊C8C2×C4semidirect
115. C2×#213C3×C4semidirect
143. C32×D4C22⋊C4semidirect
153. C2×C32×C4D8semidirect
170. C2×C4×D4C3×D3semidirect
233. C2×D12C2×C3×C4semidirect
270. C2×C3⋊C8C2×C3×C4semidirect
370. C3×D4(C2×D3)⋊C4semidirect
371. C3×D4C3×C22⋊C4semidirect
409. C2×C3×C4#213semidirect
410. C2×C3×C4C3×D8semidirect
560. C32#1879semidirect
583. D4C3×(C2×D3)⋊C4semidirect
596. C2×C4C3×#213semidirect
661. C3#71613direct (N × H)
662. C3C3×#1879semidirect

Maximal subgroups

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

subgroupindex
C2×C32×C4×D42
C22×C3×#2132
C2×C3×#8322
C2×C3×#8092
C3×#49392
C3×#45292
C3×#45242
C3×#18793
#716133