Finite Group Databasebeta

← C3×#25763 #10644370

Subgroups — C3×#25763 #10644370

Order 768.

2034 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D42C211yesmaximal, characteristic, complemented
2C2×C3×#496C211yesmaximal, characteristic, complemented
3C2×C3×#463C211yesmaximal, characteristic, complemented
4C2×C3×#450C212yesmaximal, complemented
5C2×C3×#447C212yesmaximal, complemented
6C3×#2540C211yesmaximal, characteristic, complemented
7C3×#2000C212yesmaximal, complemented
8C3×#1999C212yesmaximal, complemented
9C3×#1982C211yesmaximal, characteristic, complemented
10C3×#1955C211yesmaximal, characteristic, complemented
11C3×#1762C211yesmaximal, characteristic, complemented
12#25763C311yesmaximal, characteristic, direct product factor, Sylow
13C23×C3×D4—21no—
14C23×C3×D4C2212yes—
15C22×C3×SD16C2211yescharacteristic
16C22×C3×SD16C2212yescomplemented
17C22×C3×D8C2211yescharacteristic
18C22×C3×D8C2212yescomplemented
19C3×D42—24no—
20C3×D42—24no—
21C2×C3×#127C2211yescharacteristic
22C2×C3×#124C2211yescharacteristic, complemented
23C2×C3×C22⋊Q8C2212yescomplemented
24C2×C3×#121—21no—
25C2×C3×#121C2212yes—
26C2×C3×#121C2212yescomplemented
27C2×C3×#120—22no—
28C2×C3×C4×D4C2211yescharacteristic
29C2×C3×C4×D4C2211yescharacteristic
30C3×#496—24no—
31C3×#463—24no—
32C3×#450—28no—
33C3×#447—28no—
34C2×C3×C4⋊C8C2211yescharacteristic, complemented
35C2×C3×#103C2211yescharacteristic, complemented
36C2×C3×#102C2212yes—
37C2×C3×#102C2211yescharacteristic, complemented
38C2×C3×#102C2212yescomplemented
39C2×C3×#102C2212yescomplemented
40C2×C3×C22⋊C8C2212yescomplemented
41C2×C3×C22⋊C8C2212yescomplemented
42C2×C3×#97C2211yescharacteristic, complemented
43C3×#399—21no—
44C3×#392—21no—
45C3×#390—22no—
46C3×C4×C4⋊C4C2211yescharacteristic, complemented
47C3×#340C2212yescomplemented
48C2×D42C2×C311yescharacteristic, complemented
49C2×#496C2×C311yescharacteristic, complemented
50C2×#463C2×C311yescharacteristic, complemented
51C2×#450C2×C312yescomplemented
52C2×#447C2×C312yescomplemented
53#2540C2×C311yescharacteristic, complemented
54#2000C2×C312yescomplemented
55#1999C2×C312yescomplemented
56#1982C2×C311yescharacteristic, complemented
57#1955C2×C311yescharacteristic, complemented
58#1762C2×C311yescharacteristic, complemented
59C25×C3—22no—
60C22×C3×Q8C2311yescharacteristic
61C22×C3×D4—28no—
62C22×C3×D4—22no—
63C22×C3×D4—24no—
64C22×C3×D4—24no—
65C22×C3×D4—24no—
66C22×C3×D4—24no—
67C22×C3×D4—22no—
68C22×C3×D4—21no—
69C22×C3×D4—22no—
70C22×C3×D4—21no—
71C22×C3×D4—42no—
72C22×C3×D4—42no—
73C22×C3×D4—48no—
74C22×C3×D4D411yescharacteristic
75C22×C3×D4C2311yescharacteristic
76C22×C3×D4C2312yes—
77C22×C3×D4C2311yescharacteristic
78C23×C3×C4—21no—
79C23×C3×C4C2312yes—
80C2×C3×SD16—24no—
81C2×C3×SD16—22no—
82C2×C3×SD16—24no—
83C2×C3×SD16—24no—
84C2×C3×SD16—42no—
85C2×C3×D8—24no—
86C2×C3×D8—22no—
87C2×C3×D8—24no—
88C2×C3×D8—24no—
89C2×C3×D8—42no—
90C22×C3×C8C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C22×C3×C8C2312yes—
93C3×#127—22no—
94C3×#127D414yescomplemented
95C3×#124—22no—
96C3×#124—22no—
97C3×C22⋊Q8—24no—
98C3×C22⋊Q8—42no—
99C3×#121—28no—
100C3×#121—24no—
101C3×#121—24no—
102C3×#121—24no—
103C3×#121—42no—
104C3×#120—216no—
105C3×C4×D4—22no—
106C3×C4×D4—22no—
107C3×C4×D4—22no—
108C3×C4×D4D414yescomplemented
109C2×C3×C4⋊C4—22no—
110C2×C3×C4⋊C4D411yescharacteristic
111C2×C3×C4⋊C4C2311yescharacteristic
112C2×C3×C4⋊C4C2312yes—
113C2×C3×C22⋊C4—21no—
114C2×C3×C22⋊C4—22no—
115C2×C3×C22⋊C4—22no—
116C2×C3×C22⋊C4—21no—
117C2×C3×C22⋊C4—22no—
118C2×C3×C22⋊C4—21no—
119C2×C3×C22⋊C4D412yes—
120C2×C3×C42—21no—
121C2×C3×C42C2311yescharacteristic
122C3×C4⋊C8—22no—
123C3×#103—22no—
124C3×#102—22no—
125C3×#102—24no—
126C3×#102—24no—
127C3×#102D418yescomplemented
128C3×C22⋊C8—24no—
129C3×C22⋊C8—24no—
130C3×#97—22no—
131C3×#95—21no—
132C23×D4—21no—
133C23×D4C22×C312yes—
134C22×SD16C22×C311yescharacteristic
135C22×SD16C22×C312yescomplemented
136C22×D8C22×C311yescharacteristic
137C22×D8C22×C312yescomplemented
138D42—24no—
139D42—24no—
140C2×#127C22×C311yescharacteristic
141C2×#124C22×C311yescharacteristic, complemented
142C2×C22⋊Q8C22×C312yescomplemented
143C2×#121—21no—
144C2×#121C22×C312yes—
145C2×#121C22×C312yescomplemented
146C2×#120—22no—
147C2×C4×D4C22×C311yescharacteristic
148C2×C4×D4C22×C311yescharacteristic
149#496—24no—
150#463—24no—
151#450—28no—
152#447—28no—
153C2×C4⋊C8C22×C311yescharacteristic, complemented
154C2×#103C22×C311yescharacteristic, complemented
155C2×#102C22×C312yes—
156C2×#102C22×C312yescomplemented
157C2×#102C22×C312yescomplemented
158C2×#102C22×C311yescharacteristic, complemented
159C2×C22⋊C8C22×C312yescomplemented
160C2×C22⋊C8C22×C312yescomplemented
161C2×#97C22×C311yescharacteristic, complemented
162#399—21no—
163#392—21no—
164#390—22no—
165C4×C4⋊C4C22×C311yescharacteristic, complemented
166#340C22×C312yescomplemented
167C24×C3—21no—
168C24×C3—28no—
169C24×C3—22no—
170C24×C3—21no—
171C24×C3—44no—
172C24×C3—44no—
173C24×C3—44no—
174C24×C3—44no—
175C24×C3—82no—
176C24×C3—82no—
177C24×C3C2×D412yes—
178C2×C3×Q8—21no—
179C2×C3×Q8—22no—
180C2×C3×Q8—21no—
181C2×C3×Q8—22no—
182C2×C3×D4—24no—
183C2×C3×D4—28no—
184C2×C3×D4—28no—
185C2×C3×D4—22no—
186C2×C3×D4—24no—
187C2×C3×D4—24no—
188C2×C3×D4—21no—
189C2×C3×D4—22no—
190C2×C3×D4—22no—
191C2×C3×D4—22no—
192C2×C3×D4—21no—
193C2×C3×D4—22no—
194C2×C3×D4—21no—
195C2×C3×D4—22no—
196C2×C3×D4—22no—
197C2×C3×D4—22no—
198C2×C3×D4—22no—
199C2×C3×D4—44no—
200C2×C3×D4—44no—
201C2×C3×D4—44no—
202C2×C3×D4—44no—
203C2×C3×D4—48no—
204C2×C3×D4—48no—
205C2×C3×D4—432no—
206C2×C3×D4—48no—
207C2×C3×D4—44no—
208C2×C3×D4—44no—
209C2×C3×D4—48no—
210C2×C3×D4—44no—
211C2×C3×D4—81no—
212C2×C3×D4—81no—
213C2×C3×D4—82no—
214C2×C3×D4C2×D414yes—
215C2×C3×D4C2×D414yes—
216C2×C3×D4C2×D412yes—
217C22×C3×C4—22no—
218C22×C3×C4—21no—
219C22×C3×C4—24no—
220C22×C3×C4—22no—
221C22×C3×C4—22no—
222C22×C3×C4—22no—
223C22×C3×C4—22no—
224C22×C3×C4—22no—
225C22×C3×C4—22no—
226C22×C3×C4—21no—
227C22×C3×C4—44no—
228C22×C3×C4C2×D412yes—
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2411yescharacteristic
232C3×SD16—48no—
233C3×SD16—44no—
234C3×D8—48no—
235C3×D8—44no—
236C2×C3×C8—22no—
237C2×C3×C8—22no—
238C2×C3×C8—22no—
239C2×C3×C8—22no—
240C2×C3×C8—21no—
241C2×C3×C8—21no—
242C2×C3×C8C2×D414yescomplemented
243C3×C4⋊C4—22no—
244C3×C4⋊C4—21no—
245C3×C4⋊C4—22no—
246C3×C4⋊C4—44no—
247C3×C4⋊C4C2×D412yes—
248C3×C4⋊C4C2×D414yescomplemented
249C3×C22⋊C4—28no—
250C3×C22⋊C4—24no—
251C3×C22⋊C4—24no—
252C3×C22⋊C4—44no—
253C3×C22⋊C4—44no—
254C3×C22⋊C4—42no—
255C3×C22⋊C4—42no—
256C3×C42—81no—
257C3×C42C2×D412yes—
258C3×C42C2×D412yes—
259C25—22no—
260C22×Q8C23×C311yescharacteristic
261C22×D4—28no—
262C22×D4—22no—
263C22×D4—24no—
264C22×D4—24no—
265C22×D4—24no—
266C22×D4—24no—
267C22×D4—22no—
268C22×D4—22no—
269C22×D4—21no—
270C22×D4—21no—
271C22×D4—42no—
272C22×D4—42no—
273C22×D4—48no—
274C22×D4C3×D411yescharacteristic
275C22×D4C23×C311yescharacteristic
276C22×D4C23×C312yes—
277C22×D4C23×C311yescharacteristic
278C23×C4—21no—
279C23×C4C23×C312yes—
280C2×SD16—24no—
281C2×SD16—22no—
282C2×SD16—24no—
283C2×SD16—24no—
284C2×SD16—42no—
285C2×D8—24no—
286C2×D8—22no—
287C2×D8—24no—
288C2×D8—24no—
289C2×D8—42no—
290C22×C8C23×C311yescharacteristic
291C22×C8C23×C311yescharacteristic
292C22×C8C23×C312yes—
293#127—22no—
294#127C3×D414yescomplemented
295#124—22no—
296#124—22no—
297C22⋊Q8—24no—
298C22⋊Q8—42no—
299#121—28no—
300#121—24no—
301#121—24no—
302#121—24no—
303#121—42no—
304#120—216no—
305C4×D4—22no—
306C4×D4—22no—
307C4×D4—22no—
308C4×D4C3×D414yescomplemented
309C2×C4⋊C4—22no—
310C2×C4⋊C4C3×D411yescharacteristic
311C2×C4⋊C4C23×C311yescharacteristic
312C2×C4⋊C4C23×C312yes—
313C2×C22⋊C4—21no—
314C2×C22⋊C4—22no—
315C2×C22⋊C4—22no—
316C2×C22⋊C4—22no—
317C2×C22⋊C4—21no—
318C2×C22⋊C4—21no—
319C2×C22⋊C4C3×D412yes—
320C2×C42—21no—
321C2×C42C23×C311yescharacteristic
322C4⋊C8—22no—
323#103—22no—
324#102—22no—
325#102—24no—
326#102—24no—
327#102C3×D418yescomplemented
328C22⋊C8—24no—
329C22⋊C8—24no—
330#97—22no—
331#95—21no—
332C23×C3—22no—
333C23×C3—22no—
334C23×C3—22no—
335C23×C3—22no—
336C23×C3—24no—
337C23×C3—22no—
338C23×C3—22no—
339C23×C3—22no—
340C23×C3—24no—
341C23×C3—416no—
342C23×C3—416no—
343C23×C3—42no—
344C23×C3—41no—
345C23×C3—41no—
346C23×C3—42no—
347C23×C3—42no—
348C23×C3—42no—
349C23×C3—42no—
350C23×C3—42no—
351C23×C3—42no—
352C23×C3—41no—
353C23×C3—42no—
354C23×C3—42no—
355C23×C3—41no—
356C23×C3—41no—
357C23×C3—88no—
358C23×C3—88no—
359C23×C3—88no—
360C23×C3—88no—
361C23×C3—88no—
362C23×C3AGL(1,ℤ/8)14yes—
363C23×C3C22×D411yescharacteristic
364C3×Q8—41no—
365C3×Q8—41no—
366C3×Q8—42no—
367C3×D4—28no—
368C3×D4—22no—
369C3×D4—24no—
370C3×D4—24no—
371C3×D4—24no—
372C3×D4—48no—
373C3×D4—416no—
374C3×D4—416no—
375C3×D4—42no—
376C3×D4—41no—
377C3×D4—42no—
378C3×D4—41no—
379C3×D4—42no—
380C3×D4—84no—
381C3×D4—88no—
382C3×D4#12714yes—
383C2×C3×C4—22no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—24no—
389C2×C3×C4—22no—
390C2×C3×C4—22no—
391C2×C3×C4—48no—
392C2×C3×C4—42no—
393C2×C3×C4—42no—
394C2×C3×C4—42no—
395C2×C3×C4—42no—
396C2×C3×C4—42no—
397C2×C3×C4—42no—
398C2×C3×C4—42no—
399C2×C3×C4—41no—
400C2×C3×C4—42no—
401C2×C3×C4#12012yes—
402C2×C3×C4#12012yes—
403C2×C3×C4C22×D411yescharacteristic
404C2×C3×C4C22×D412yes—
405C2×C3×C4C22×D411yescharacteristic
406C2×C3×C4H(5,𝔽2)12yes—
407C3×C8—24no—
408C3×C8—41no—
409C3×C8—41no—
410C24—21no—
411C24—28no—
412C24—22no—
413C24—21no—
414C24—44no—
415C24—44no—
416C24—44no—
417C24—44no—
418C24—82no—
419C24—82no—
420C24C2×C3×D412yes—
421C2×Q8—21no—
422C2×Q8—22no—
423C2×Q8—21no—
424C2×Q8—22no—
425C2×D4—24no—
426C2×D4—28no—
427C2×D4—28no—
428C2×D4—22no—
429C2×D4—24no—
430C2×D4—24no—
431C2×D4—21no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—22no—
435C2×D4—21no—
436C2×D4—22no—
437C2×D4—21no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—44no—
443C2×D4—44no—
444C2×D4—44no—
445C2×D4—44no—
446C2×D4—48no—
447C2×D4—48no—
448C2×D4—432no—
449C2×D4—48no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—48no—
453C2×D4—44no—
454C2×D4—81no—
455C2×D4—81no—
456C2×D4—82no—
457C2×D4C2×C3×D414yes—
458C2×D4C2×C3×D414yes—
459C2×D4C2×C3×D412yes—
460C22×C4—22no—
461C22×C4—21no—
462C22×C4—24no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—44no—
471C22×C4C2×C3×D412yes—
472C22×C4C2×C3×D411yescharacteristic
473C22×C4C2×C3×D411yescharacteristic
474C22×C4C24×C311yescharacteristic
475SD16—48no—
476SD16—44no—
477D8—48no—
478D8—44no—
479C2×C8—22no—
480C2×C8—22no—
481C2×C8—22no—
482C2×C8—22no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8C2×C3×D414yescomplemented
486C4⋊C4—22no—
487C4⋊C4—21no—
488C4⋊C4—22no—
489C4⋊C4—44no—
490C4⋊C4C2×C3×D412yes—
491C4⋊C4C2×C3×D414yescomplemented
492C22⋊C4—28no—
493C22⋊C4—24no—
494C22⋊C4—24no—
495C22⋊C4—44no—
496C22⋊C4—44no—
497C22⋊C4—42no—
498C22⋊C4—42no—
499C42—81no—
500C42C2×C3×D412yes—
501C42C2×C3×D412yes—
502C22×C3—24no—
503C22×C3—24no—
504C22×C3—24no—
505C22×C3—24no—
506C22×C3—42no—
507C22×C3—42no—
508C22×C3—42no—
509C22×C3—44no—
510C22×C3—42no—
511C22×C3—44no—
512C22×C3—42no—
513C22×C3—42no—
514C22×C3—44no—
515C22×C3—44no—
516C22×C3—44no—
517C22×C3—832no—
518C22×C3—82no—
519C22×C3—82no—
520C22×C3—82no—
521C22×C3—82no—
522C22×C3—81no—
523C22×C3—81no—
524C22×C3—82no—
525C22×C3—82no—
526C22×C3—81no—
527C22×C3C2×#12011yescharacteristic
528C22×C3D4212yes—
529C22×C3C2×AGL(1,ℤ/8)12yes—
530C22×C3#57611yescharacteristic
531C22×C3#57711yescharacteristic
532C3×C4—22no—
533C3×C4—22no—
534C3×C4—42no—
535C3×C4—42no—
536C3×C4—44no—
537C3×C4—81no—
538C3×C4C2×#12711yescharacteristic
539C3×C4#53511yescharacteristic
540C3×C4D4212yes—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—22no—
548C23—24no—
549C23—24no—
550C23—416no—
551C23—416no—
552C23—42no—
553C23—41no—
554C23—41no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—42no—
566C23—88no—
567C23—88no—
568C23—88no—
569C23—88no—
570C23—88no—
571C23C3×AGL(1,ℤ/8)14yes—
572C23C22×C3×D411yescharacteristic
573Q8—41no—
574Q8—41no—
575Q8—42no—
576D4—28no—
577D4—22no—
578D4—24no—
579D4—24no—
580D4—24no—
581D4—48no—
582D4—416no—
583D4—416no—
584D4—42no—
585D4—41no—
586D4—42no—
587D4—41no—
588D4—42no—
589D4—84no—
590D4—88no—
591D4C3×#12714yes—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—48no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4C3×#12012yes—
611C2×C4C3×#12012yes—
612C2×C4C22×C3×D411yescharacteristic
613C2×C4C22×C3×D412yes—
614C2×C4C22×C3×D411yescharacteristic
615C2×C4C3×H(5,𝔽2)12yes—
616C8—24no—
617C8—41no—
618C8—41no—
619C2×C3—44no—
620C2×C3—44no—
621C2×C3—84no—
622C2×C3—161no—
623C2×C3#243311yescharacteristic
624C2×C3#300311yescharacteristic
625C2×C3#301211yescharacteristic
626C2×C3#326412yes—
627C2×C3#326512yes—
628C22—24no—
629C22—24no—
630C22—24no—
631C22—24no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—44no—
636C22—42no—
637C22—44no—
638C22—42no—
639C22—42no—
640C22—44no—
641C22—44no—
642C22—44no—
643C22—832no—
644C22—82no—
645C22—82no—
646C22—82no—
647C22—82no—
648C22—81no—
649C22—81no—
650C22—82no—
651C22—82no—
652C22—81no—
653C22C2×C3×#12011yescharacteristic
654C22C3×D4212yes—
655C22C2×C3×AGL(1,ℤ/8)12yes—
656C22C3×#57611yescharacteristic
657C22C3×#57711yescharacteristic
658C4—22no—
659C4—22no—
660C4—42no—
661C4—42no—
662C4—44no—
663C4—81no—
664C4C2×C3×#12711yescharacteristic
665C4C3×#53511yescharacteristic
666C4C3×D4212yes—
667C3#2576311yescharacteristic, direct product factor, Sylow
668C2—44no—
669C2—44no—
670C2—84no—
671C2—161no—
672C2C3×#243311yescharacteristic
673C2C3×#300311yescharacteristic
674C2C3×#301211yescharacteristic
675C2C3×#326412yes—
676C2C3×#326512yes—
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
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
1. C2×C3×D42C2semidirect
2. C2×C3×#496C2semidirect
3. C2×C3×#463C2semidirect
4. C2×C3×#450C2semidirect
5. C2×C3×#447C2semidirect
6. C3×#2540C2semidirect
7. C3×#2000C2semidirect
8. C3×#1999C2semidirect
9. C3×#1982C2semidirect
10. C3×#1955C2semidirect
11. C3×#1762C2semidirect
12. #25763C3direct (N × H)
16. C22×C3×SD16C22semidirect
18. C22×C3×D8C22semidirect
22. C2×C3×#124C22semidirect
23. C2×C3×C22⋊Q8C22semidirect
26. C2×C3×#121C22semidirect
34. C2×C3×C4⋊C8C22semidirect
35. C2×C3×#103C22semidirect
37. C2×C3×#102C22semidirect
38. C2×C3×#102C22semidirect
39. C2×C3×#102C22semidirect
40. C2×C3×C22⋊C8C22semidirect
41. C2×C3×C22⋊C8C22semidirect
42. C2×C3×#97C22semidirect
46. C3×C4×C4⋊C4C22semidirect
47. C3×#340C22semidirect
48. C2×D42C2×C3semidirect
49. C2×#496C2×C3semidirect
50. C2×#463C2×C3semidirect
51. C2×#450C2×C3semidirect
52. C2×#447C2×C3semidirect
53. #2540C2×C3semidirect
54. #2000C2×C3semidirect
55. #1999C2×C3semidirect
56. #1982C2×C3semidirect
57. #1955C2×C3semidirect
58. #1762C2×C3semidirect
94. C3×#127D4semidirect
108. C3×C4×D4D4semidirect
127. C3×#102D4semidirect
135. C22×SD16C22×C3semidirect
137. C22×D8C22×C3semidirect
141. C2×#124C22×C3semidirect
142. C2×C22⋊Q8C22×C3semidirect
145. C2×#121C22×C3semidirect
153. C2×C4⋊C8C22×C3semidirect
154. C2×#103C22×C3semidirect
156. C2×#102C22×C3semidirect
157. C2×#102C22×C3semidirect
158. C2×#102C22×C3semidirect
159. C2×C22⋊C8C22×C3semidirect
160. C2×C22⋊C8C22×C3semidirect
161. C2×#97C22×C3semidirect
165. C4×C4⋊C4C22×C3semidirect
166. #340C22×C3semidirect
242. C2×C3×C8C2×D4semidirect
248. C3×C4⋊C4C2×D4semidirect
294. #127C3×D4semidirect
308. C4×D4C3×D4semidirect
327. #102C3×D4semidirect
485. C2×C8C2×C3×D4semidirect
491. C4⋊C4C2×C3×D4semidirect
667. C3#25763direct (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×#4962
C2×C3×#4632
C2×C3×#4502
C2×C3×#4472
C3×#25402
C3×#20002
C3×#19992
C3×#19822
C3×#19552
C3×#17622
#257633