Finite Group Databasebeta

← C3×#24240 #10642847

Subgroups — C3×#24240 #10642847

Order 768.

1890 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D42C211yesmaximal, characteristic
2C2×C3×#460C211yesmaximal, characteristic, complemented
3C2×C3×#450C212yesmaximal, complemented
4C2×C3×C4×SD16C211yesmaximal, characteristic, complemented
5C3×#2538C211yesmaximal, characteristic, complemented
6C3×#2034C212yesmaximal, complemented
7C3×#2000C212yesmaximal, complemented
8C3×#1957C211yesmaximal, characteristic, complemented
9C3×#1954C211yesmaximal, characteristic, complemented
10C3×#1802C211yesmaximal, characteristic, complemented
11C3×#1786C212yesmaximal, complemented
12#24240C311yesmaximal, characteristic, direct product factor, Sylow
13C23×C3×D4—21no—
14C23×C3×D4C2212yes—
15C22×C3×SD16C2211yescharacteristic
16C22×C3×SD16C2212yescomplemented
17C3×D42—24no—
18C3×D42—24no—
19C2×C3×#127C2211yescharacteristic
20C2×C3×C22⋊Q8C2212yescomplemented
21C2×C3×#121—21no—
22C2×C3×#121C2212yes—
23C2×C3×#120—22no—
24C2×C3×C4×Q8C2211yescharacteristic, complemented
25C2×C3×C4×D4C2211yescharacteristic
26C2×C3×C4×D4C2211yescharacteristic
27C3×#460—24no—
28C3×#450—28no—
29C3×C4×SD16—24no—
30C2×C3×#106C2211yescharacteristic, complemented
31C2×C3×C4⋊C8C2211yescharacteristic, complemented
32C2×C3×#103C2211yescharacteristic, complemented
33C2×C3×#102C2211yescharacteristic
34C2×C3×#102C2212yes—
35C2×C3×#102C2212yescomplemented
36C2×C3×#102C2212yescomplemented
37C2×C3×#102C2212yescomplemented
38C2×C3×C22⋊C8C2212yescomplemented
39C2×C3×C22⋊C8C2212yescomplemented
40C2×C3×C4×C8C2211yescharacteristic, complemented
41C3×#396—22no—
42C3×#390—21no—
43C3×#389—21no—
44C3×#384C2211yescharacteristic, complemented
45C3×#380C2212yescomplemented
46C3×#340C2212yescomplemented
47C2×D42C2×C311yescharacteristic
48C2×#460C2×C311yescharacteristic, complemented
49C2×#450C2×C312yescomplemented
50C2×C4×SD16C2×C311yescharacteristic, complemented
51#2538C2×C311yescharacteristic, complemented
52#2034C2×C312yescomplemented
53#2000C2×C312yescomplemented
54#1957C2×C311yescharacteristic, complemented
55#1954C2×C311yescharacteristic, complemented
56#1802C2×C311yescharacteristic, complemented
57#1786C2×C312yescomplemented
58C25×C3—22no—
59C22×C3×Q8C2311yescharacteristic
60C22×C3×D4—28no—
61C22×C3×D4—22no—
62C22×C3×D4—24no—
63C22×C3×D4—24no—
64C22×C3×D4—24no—
65C22×C3×D4—24no—
66C22×C3×D4—21no—
67C22×C3×D4—22no—
68C22×C3×D4—21no—
69C22×C3×D4—42no—
70C22×C3×D4—42no—
71C22×C3×D4—44no—
72C22×C3×D4—44no—
73C22×C3×D4D411yescharacteristic
74C22×C3×D4C2312yes—
75C22×C3×D4C2311yescharacteristic
76C23×C3×C4—21no—
77C23×C3×C4C2312yes—
78C2×C3×SD16—22no—
79C2×C3×SD16—22no—
80C2×C3×SD16—24no—
81C2×C3×SD16—24no—
82C2×C3×SD16—42no—
83C2×C3×SD16D414yescomplemented
84C22×C3×C8C2312yes—
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C3×#127—22no—
88C3×#127D414yes—
89C3×C22⋊Q8—24no—
90C3×C22⋊Q8—42no—
91C3×#121—28no—
92C3×#121—24no—
93C3×#121—24no—
94C3×#120—216no—
95C3×C4×Q8—22no—
96C3×C4×Q8—22no—
97C3×C4×D4—22no—
98C3×C4×D4—22no—
99C3×C4×D4—22no—
100C3×C4×D4D414yes—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4—22no—
103C2×C3×C4⋊C4—21no—
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4D411yescharacteristic
106C2×C3×C4⋊C4C2311yescharacteristic
107C2×C3×C4⋊C4C2312yes—
108C2×C3×C4⋊C4C2311yescharacteristic
109C2×C3×C22⋊C4—21no—
110C2×C3×C22⋊C4—22no—
111C2×C3×C22⋊C4—22no—
112C2×C3×C22⋊C4—22no—
113C2×C3×C22⋊C4D412yes—
114C2×C3×C42—21no—
115C2×C3×C42C2311yescharacteristic
116C3×#106—22no—
117C3×C4⋊C8—22no—
118C3×#103—22no—
119C3×#102—22no—
120C3×#102—24no—
121C3×#102—24no—
122C3×#102—24no—
123C3×#102—42no—
124C3×C22⋊C8—24no—
125C3×C22⋊C8—42no—
126C3×C4×C8—22no—
127C3×#95—22no—
128C23×D4—21no—
129C23×D4C22×C312yes—
130C22×SD16C22×C311yescharacteristic
131C22×SD16C22×C312yescomplemented
132D42—24no—
133D42—24no—
134C2×#127C22×C311yescharacteristic
135C2×C22⋊Q8C22×C312yescomplemented
136C2×#121—21no—
137C2×#121C22×C312yes—
138C2×#120—22no—
139C2×C4×Q8C22×C311yescharacteristic, complemented
140C2×C4×D4C22×C311yescharacteristic
141C2×C4×D4C22×C311yescharacteristic
142#460—24no—
143#450—28no—
144C4×SD16—24no—
145C2×#106C22×C311yescharacteristic, complemented
146C2×C4⋊C8C22×C311yescharacteristic, complemented
147C2×#103C22×C311yescharacteristic, complemented
148C2×#102C22×C312yes—
149C2×#102C22×C311yescharacteristic
150C2×#102C22×C312yescomplemented
151C2×#102C22×C312yescomplemented
152C2×#102C22×C312yescomplemented
153C2×C22⋊C8C22×C312yescomplemented
154C2×C22⋊C8C22×C312yescomplemented
155C2×C4×C8C22×C311yescharacteristic, complemented
156#396—22no—
157#390—21no—
158#389—21no—
159#384C22×C311yescharacteristic, complemented
160#380C22×C312yescomplemented
161#340C22×C312yescomplemented
162C24×C3—21no—
163C24×C3—28no—
164C24×C3—22no—
165C24×C3—44no—
166C24×C3—44no—
167C24×C3—44no—
168C24×C3—44no—
169C24×C3—82no—
170C24×C3—82no—
171C24×C3C2×D412yes—
172C2×C3×Q8—21no—
173C2×C3×Q8—21no—
174C2×C3×Q8—21no—
175C2×C3×Q8—21no—
176C2×C3×Q8—21no—
177C2×C3×Q8C2×D412yescomplemented
178C2×C3×D4—28no—
179C2×C3×D4—28no—
180C2×C3×D4—22no—
181C2×C3×D4—24no—
182C2×C3×D4—24no—
183C2×C3×D4—22no—
184C2×C3×D4—21no—
185C2×C3×D4—22no—
186C2×C3×D4—22no—
187C2×C3×D4—22no—
188C2×C3×D4—21no—
189C2×C3×D4—21no—
190C2×C3×D4—22no—
191C2×C3×D4—22no—
192C2×C3×D4—44no—
193C2×C3×D4—44no—
194C2×C3×D4—48no—
195C2×C3×D4—48no—
196C2×C3×D4—48no—
197C2×C3×D4—432no—
198C2×C3×D4—44no—
199C2×C3×D4—44no—
200C2×C3×D4—48no—
201C2×C3×D4—42no—
202C2×C3×D4—42no—
203C2×C3×D4—81no—
204C2×C3×D4—81no—
205C2×C3×D4SD1614yescomplemented
206C2×C3×D4C2×D414yes—
207C2×C3×D4C2×D412yes—
208C2×C3×D4C2×D412yes—
209C2×C3×D4#4112yes—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—24no—
213C22×C3×C4—22no—
214C22×C3×C4—22no—
215C22×C3×C4—22no—
216C22×C3×C4—22no—
217C22×C3×C4—22no—
218C22×C3×C4—22no—
219C22×C3×C4—21no—
220C22×C3×C4—22no—
221C22×C3×C4—42no—
222C22×C3×C4—42no—
223C22×C3×C4C2×D412yes—
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2411yescharacteristic
227C3×SD16—28no—
228C3×SD16—48no—
229C2×C3×C8—21no—
230C2×C3×C8—21no—
231C2×C3×C8—21no—
232C2×C3×C8—22no—
233C2×C3×C8—22no—
234C2×C3×C8—21no—
235C2×C3×C8—22no—
236C2×C3×C8—21no—
237C2×C3×C8C2×D412yescomplemented
238C3×C4⋊C4—22no—
239C3×C4⋊C4—21no—
240C3×C4⋊C4—21no—
241C3×C4⋊C4—22no—
242C3×C4⋊C4—21no—
243C3×C4⋊C4—22no—
244C3×C4⋊C4—44no—
245C3×C4⋊C4—42no—
246C3×C4⋊C4—42no—
247C3×C4⋊C4—81no—
248C3×C4⋊C4C2×D412yes—
249C3×C22⋊C4—28no—
250C3×C22⋊C4—24no—
251C3×C22⋊C4—24no—
252C3×C22⋊C4—44no—
253C3×C22⋊C4—82no—
254C3×C42—42no—
255C3×C42C2×D412yes—
256C3×C42C2×D412yes—
257C25—22no—
258C22×Q8C23×C311yescharacteristic
259C22×D4—28no—
260C22×D4—22no—
261C22×D4—24no—
262C22×D4—24no—
263C22×D4—24no—
264C22×D4—24no—
265C22×D4—22no—
266C22×D4—21no—
267C22×D4—21no—
268C22×D4—42no—
269C22×D4—42no—
270C22×D4—44no—
271C22×D4—44no—
272C22×D4C3×D411yescharacteristic
273C22×D4C23×C312yes—
274C22×D4C23×C311yescharacteristic
275C23×C4—21no—
276C23×C4C23×C312yes—
277C2×SD16—22no—
278C2×SD16—22no—
279C2×SD16—24no—
280C2×SD16—24no—
281C2×SD16—42no—
282C2×SD16C3×D414yescomplemented
283C22×C8C23×C312yes—
284C22×C8C23×C311yescharacteristic
285C22×C8C23×C311yescharacteristic
286#127—22no—
287#127C3×D414yes—
288C22⋊Q8—24no—
289C22⋊Q8—42no—
290#121—28no—
291#121—24no—
292#121—24no—
293#120—216no—
294C4×Q8—22no—
295C4×Q8—22no—
296C4×D4—22no—
297C4×D4—22no—
298C4×D4—22no—
299C4×D4C3×D414yes—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4C3×D411yescharacteristic
305C2×C4⋊C4C23×C311yescharacteristic
306C2×C4⋊C4C23×C312yes—
307C2×C4⋊C4C23×C311yescharacteristic
308C2×C22⋊C4—21no—
309C2×C22⋊C4—22no—
310C2×C22⋊C4—22no—
311C2×C22⋊C4—22no—
312C2×C22⋊C4C3×D412yes—
313C2×C42—21no—
314C2×C42C23×C311yescharacteristic
315#106—22no—
316C4⋊C8—22no—
317#103—22no—
318#102—22no—
319#102—24no—
320#102—24no—
321#102—24no—
322#102—42no—
323C22⋊C8—24no—
324C22⋊C8—42no—
325C4×C8—22no—
326#95—22no—
327C23×C3—22no—
328C23×C3—22no—
329C23×C3—22no—
330C23×C3—22no—
331C23×C3—22no—
332C23×C3—22no—
333C23×C3—22no—
334C23×C3—22no—
335C23×C3—22no—
336C23×C3—24no—
337C23×C3—416no—
338C23×C3—416no—
339C23×C3—41no—
340C23×C3—41no—
341C23×C3—41no—
342C23×C3—41no—
343C23×C3—42no—
344C23×C3—42no—
345C23×C3—42no—
346C23×C3—42no—
347C23×C3—42no—
348C23×C3—42no—
349C23×C3—88no—
350C23×C3—88no—
351C23×C3—88no—
352C23×C3—88no—
353C23×C3—88no—
354C23×C3C2×SD1614yes—
355C23×C3C22×D411yescharacteristic
356C3×Q8—22no—
357C3×Q8—22no—
358C3×Q8—41no—
359C3×Q8—41no—
360C3×D4—22no—
361C3×D4—22no—
362C3×D4—24no—
363C3×D4—22no—
364C3×D4—24no—
365C3×D4—28no—
366C3×D4—416no—
367C3×D4—416no—
368C3×D4—42no—
369C3×D4—42no—
370C3×D4—48no—
371C3×D4—84no—
372C3×D4#12114yes—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—41no—
381C2×C3×C4—41no—
382C2×C3×C4—41no—
383C2×C3×C4—41no—
384C2×C3×C4—42no—
385C2×C3×C4—42no—
386C2×C3×C4—42no—
387C2×C3×C4—42no—
388C2×C3×C4—48no—
389C2×C3×C4—41no—
390C2×C3×C4—42no—
391C2×C3×C4—42no—
392C2×C3×C4—41no—
393C2×C3×C4—42no—
394C2×C3×C4—41no—
395C2×C3×C4#12012yes—
396C2×C3×C4#12012yes—
397C2×C3×C4C2×SD1612yes—
398C2×C3×C4AGL(1,ℤ/8)12yes—
399C2×C3×C4C22×D411yescharacteristic
400C2×C3×C4C22×D411yescharacteristic
401C2×C3×C4C22×D411yescharacteristic
402C2×C3×C4C2×#4111yescharacteristic
403C2×C3×C4H(5,𝔽2)11yescharacteristic
404C2×C3×C4H(5,𝔽2)11yescharacteristic
405C3×C8—22no—
406C3×C8—41no—
407C3×C8—42no—
408C24—21no—
409C24—28no—
410C24—22no—
411C24—44no—
412C24—44no—
413C24—44no—
414C24—44no—
415C24—82no—
416C24—82no—
417C24C2×C3×D412yes—
418C2×Q8—21no—
419C2×Q8—21no—
420C2×Q8—21no—
421C2×Q8—21no—
422C2×Q8—21no—
423C2×Q8C2×C3×D412yescomplemented
424C2×D4—28no—
425C2×D4—28no—
426C2×D4—22no—
427C2×D4—24no—
428C2×D4—24no—
429C2×D4—22no—
430C2×D4—21no—
431C2×D4—22no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—21no—
435C2×D4—21no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—44no—
439C2×D4—44no—
440C2×D4—48no—
441C2×D4—48no—
442C2×D4—432no—
443C2×D4—48no—
444C2×D4—44no—
445C2×D4—44no—
446C2×D4—48no—
447C2×D4—42no—
448C2×D4—42no—
449C2×D4—81no—
450C2×D4—81no—
451C2×D4C3×SD1614yescomplemented
452C2×D4C2×C3×D414yes—
453C2×D4C2×C3×D412yes—
454C2×D4C2×C3×D412yes—
455C2×D4C3×#4112yes—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—24no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—21no—
466C22×C4—22no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4C2×C3×D412yes—
470C22×C4C2×C3×D411yescharacteristic
471C22×C4C2×C3×D411yescharacteristic
472C22×C4C24×C311yescharacteristic
473SD16—28no—
474SD16—48no—
475C2×C8—21no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8—22no—
479C2×C8—22no—
480C2×C8—21no—
481C2×C8—22no—
482C2×C8—21no—
483C2×C8C2×C3×D412yescomplemented
484C4⋊C4—22no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—22no—
488C4⋊C4—21no—
489C4⋊C4—22no—
490C4⋊C4—44no—
491C4⋊C4—42no—
492C4⋊C4—42no—
493C4⋊C4—81no—
494C4⋊C4C2×C3×D412yes—
495C22⋊C4—28no—
496C22⋊C4—24no—
497C22⋊C4—24no—
498C22⋊C4—44no—
499C22⋊C4—82no—
500C42—42no—
501C42C2×C3×D412yes—
502C42C2×C3×D412yes—
503C22×C3—24no—
504C22×C3—24no—
505C22×C3—24no—
506C22×C3—24no—
507C22×C3—42no—
508C22×C3—42no—
509C22×C3—42no—
510C22×C3—42no—
511C22×C3—42no—
512C22×C3—42no—
513C22×C3—42no—
514C22×C3—42no—
515C22×C3—42no—
516C22×C3—42no—
517C22×C3—44no—
518C22×C3—44no—
519C22×C3—44no—
520C22×C3—832no—
521C22×C3—82no—
522C22×C3—82no—
523C22×C3—82no—
524C22×C3—82no—
525C22×C3C2×#12011yescharacteristic
526C22×C3D4211yescharacteristic
527C22×C3#54611yescharacteristic
528C22×C3C22×SD1611yescharacteristic
529C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
530C22×C3#57611yescharacteristic
531C22×C3#57711yescharacteristic
532C3×C4—22no—
533C3×C4—42no—
534C3×C4—42no—
535C3×C4—42no—
536C3×C4—81no—
537C3×C4—82no—
538C3×C4#45014yescomplemented
539C3×C4C2×#12111yescharacteristic
540C3×C4#53511yescharacteristic
541C3×C4D4211yescharacteristic
542C3×C4#54611yescharacteristic
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—22no—
548C23—22no—
549C23—22no—
550C23—22no—
551C23—22no—
552C23—24no—
553C23—416no—
554C23—416no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—88no—
566C23—88no—
567C23—88no—
568C23—88no—
569C23—88no—
570C23C2×C3×SD1614yes—
571C23C22×C3×D411yescharacteristic
572Q8—22no—
573Q8—22no—
574Q8—41no—
575Q8—41no—
576D4—28no—
577D4—22no—
578D4—22no—
579D4—24no—
580D4—22no—
581D4—24no—
582D4—416no—
583D4—416no—
584D4—48no—
585D4—42no—
586D4—42no—
587D4—84no—
588D4C3×#12114yes—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—48no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—42no—
611C2×C4C3×#12012yes—
612C2×C4C3×#12012yes—
613C2×C4C2×C3×SD1612yes—
614C2×C4C3×AGL(1,ℤ/8)12yes—
615C2×C4C22×C3×D411yescharacteristic
616C2×C4C22×C3×D411yescharacteristic
617C2×C4C22×C3×D411yescharacteristic
618C2×C4C2×C3×#4111yescharacteristic
619C2×C4C3×H(5,𝔽2)11yescharacteristic
620C2×C4C3×H(5,𝔽2)11yescharacteristic
621C8—22no—
622C8—41no—
623C8—42no—
624C2×C3—44no—
625C2×C3—44no—
626C2×C3—84no—
627C2×C3#240811yescharacteristic
628C2×C3C2×#45011yescharacteristic
629C2×C3#301211yescharacteristic
630C2×C3#327411yescharacteristic
631C2×C3D4×SD1611yescharacteristic
632C2×C3#329511yescharacteristic
633C2×C3#332411yescharacteristic
634C22—24no—
635C22—24no—
636C22—24no—
637C22—24no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—42no—
647C22—42no—
648C22—44no—
649C22—44no—
650C22—44no—
651C22—832no—
652C22—82no—
653C22—82no—
654C22—82no—
655C22—82no—
656C22C2×C3×#12011yescharacteristic
657C22C3×D4211yescharacteristic
658C22C3×#54611yescharacteristic
659C22C22×C3×SD1611yescharacteristic
660C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
661C22C3×#57611yescharacteristic
662C22C3×#57711yescharacteristic
663C4—22no—
664C4—42no—
665C4—42no—
666C4—42no—
667C4—81no—
668C4—82no—
669C4C3×#45014yescomplemented
670C4C2×C3×#12111yescharacteristic
671C4C3×#53511yescharacteristic
672C4C3×D4211yescharacteristic
673C4C3×#54611yescharacteristic
674C3#2424011yescharacteristic, direct product factor, Sylow
675C2—44no—
676C2—44no—
677C2—84no—
678C2C3×#240811yescharacteristic
679C2C2×C3×#45011yescharacteristic
680C2C3×#301211yescharacteristic
681C2C3×#327411yescharacteristic
682C2C3×D4×SD1611yescharacteristic
683C2C3×#329511yescharacteristic
684C2C3×#332411yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×D42C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C2×C3×C4×D4 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C3×#460C2semidirect
3. C2×C3×#450C2semidirect
4. C2×C3×C4×SD16C2semidirect
5. C3×#2538C2semidirect
6. C3×#2034C2semidirect
7. C3×#2000C2semidirect
8. C3×#1957C2semidirect
9. C3×#1954C2semidirect
10. C3×#1802C2semidirect
11. C3×#1786C2semidirect
12. #24240C3direct (N × H)
16. C22×C3×SD16C22semidirect
20. C2×C3×C22⋊Q8C22semidirect
24. C2×C3×C4×Q8C22semidirect
30. C2×C3×#106C22semidirect
31. C2×C3×C4⋊C8C22semidirect
32. C2×C3×#103C22semidirect
35. C2×C3×#102C22semidirect
36. C2×C3×#102C22semidirect
37. C2×C3×#102C22semidirect
38. C2×C3×C22⋊C8C22semidirect
39. C2×C3×C22⋊C8C22semidirect
40. C2×C3×C4×C8C22semidirect
44. C3×#384C22semidirect
45. C3×#380C22semidirect
46. C3×#340C22semidirect
48. C2×#460C2×C3semidirect
49. C2×#450C2×C3semidirect
50. C2×C4×SD16C2×C3semidirect
51. #2538C2×C3semidirect
52. #2034C2×C3semidirect
53. #2000C2×C3semidirect
54. #1957C2×C3semidirect
55. #1954C2×C3semidirect
56. #1802C2×C3semidirect
57. #1786C2×C3semidirect
83. C2×C3×SD16D4semidirect
131. C22×SD16C22×C3semidirect
135. C2×C22⋊Q8C22×C3semidirect
139. C2×C4×Q8C22×C3semidirect
145. C2×#106C22×C3semidirect
146. C2×C4⋊C8C22×C3semidirect
147. C2×#103C22×C3semidirect
150. C2×#102C22×C3semidirect
151. C2×#102C22×C3semidirect
152. C2×#102C22×C3semidirect
153. C2×C22⋊C8C22×C3semidirect
154. C2×C22⋊C8C22×C3semidirect
155. C2×C4×C8C22×C3semidirect
159. #384C22×C3semidirect
160. #380C22×C3semidirect
161. #340C22×C3semidirect
177. C2×C3×Q8C2×D4semidirect
205. C2×C3×D4SD16semidirect
237. C2×C3×C8C2×D4semidirect
282. C2×SD16C3×D4semidirect
423. C2×Q8C2×C3×D4semidirect
451. C2×D4C3×SD16semidirect
483. C2×C8C2×C3×D4semidirect
538. C3×C4#450semidirect
669. C4C3×#450semidirect
674. C3#24240direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×D422
C2×C3×#4602
C2×C3×#4502
C2×C3×C4×SD162
C3×#25382
C3×#20342
C3×#20002
C3×#19572
C3×#19542
C3×#18022
C3×#17862
#242403