Finite Group Databasebeta

← C3×#24210 #10642817

Subgroups — C3×#24210 #10642817

Order 768.

1566 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#532C211yesmaximal, characteristic, complemented
2C2×C3×#461C211yesmaximal, characteristic, complemented
3C2×C3×#459C211yesmaximal, characteristic, complemented
4C2×C3×#449C212yesmaximal, complemented
5C3×C4×#121C211yesmaximal, characteristic, complemented
6C3×#2042C212yesmaximal, complemented
7C3×#2012C212yesmaximal, complemented
8C3×#1982C211yesmaximal, characteristic, complemented
9C3×#1981C211yesmaximal, characteristic, complemented
10C3×#1797C211yesmaximal, characteristic, complemented
11C3×#1788C212yesmaximal, complemented
12#24210C311yesmaximal, characteristic, direct product factor, Sylow
13C22×C3×#41C2212yes—
14C22×C3×SD16C2212yes—
15C22×C3×D8C2212yes—
16C3×#532—24no—
17C3×#532—24no—
18C2×C3×C4⋊Q8C2211yescharacteristic
19C2×C3×#127C2211yescharacteristic
20C2×C3×#124C2212yes—
21C2×C3×#121—21no—
22C2×C3×#121—21no—
23C2×C3×#121C2211yescharacteristic
24C2×C3×C4×D4—21no—
25C2×C3×C4×D4—21no—
26C2×C3×C4×D4—21no—
27C2×C3×C4×D4C2211yescharacteristic
28C22×C3×C42C2211yescharacteristic
29C3×#461—24no—
30C3×#459—24no—
31C3×#449—28no—
32C2×C3×C4⋊C8C2211yescharacteristic
33C2×C3×C4⋊C8C2211yescharacteristic
34C2×C3×#103C2212yes—
35C2×C3×#103C2212yes—
36C2×C3×#103C2212yes—
37C2×C3×#102C2212yes—
38C2×C3×#102C2212yes—
39C2×C3×#102C2212yes—
40C2×C3×C22⋊C8C2212yes—
41C3×#390C2211yescharacteristic
42C3×#389C2211yescharacteristic
43C3×#388—21no—
44C3×#386—21no—
45C3×#380C2211yescharacteristic
46C3×C4×C4⋊C4C2211yescharacteristic
47C3×C4×C22⋊C4—21no—
48C3×#336C2212yes—
49C2×#532C2×C311yescharacteristic, complemented
50C2×#461C2×C311yescharacteristic, complemented
51C2×#459C2×C311yescharacteristic, complemented
52C2×#449C2×C312yescomplemented
53C4×#121C2×C311yescharacteristic, complemented
54#2042C2×C312yescomplemented
55#2012C2×C312yescomplemented
56#1982C2×C311yescharacteristic, complemented
57#1981C2×C311yescharacteristic, complemented
58#1797C2×C311yescharacteristic, complemented
59#1788C2×C312yescomplemented
60C2×C3×#41—24no—
61C2×C3×#41—24no—
62C2×C3×#41—24no—
63C2×C3×#41—24no—
64C2×C3×#41—42no—
65C2×C3×#41—42no—
66C22×C3×Q8C2312yes—
67C22×C3×D4—22no—
68C22×C3×D4—21no—
69C22×C3×D4—21no—
70C22×C3×D4—21no—
71C22×C3×D4C2311yescharacteristic
72C22×C3×D4C2312yes—
73C23×C3×C4—22no—
74C23×C3×C4—21no—
75C23×C3×C4D411yescharacteristic
76C23×C3×C4D411yescharacteristic
77C23×C3×C4C2311yescharacteristic
78C2×C3×SD16—24no—
79C2×C3×SD16—24no—
80C2×C3×SD16—42no—
81C2×C3×D8—24no—
82C2×C3×D8—24no—
83C2×C3×D8—42no—
84C22×C3×C8C2312yes—
85C22×C3×C8C2312yes—
86C3×C4⋊Q8—22no—
87C3×C4⋊Q8D414yescomplemented
88C3×#127—22no—
89C3×#127D414yescomplemented
90C3×#124—24no—
91C3×#124—24no—
92C3×#121—28no—
93C3×#121—28no—
94C3×#121—22no—
95C3×#121D414yescomplemented
96C3×C4×D4—28no—
97C3×C4×D4—28no—
98C3×C4×D4—22no—
99C3×C4×D4—22no—
100C3×C4×D4—44no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4—21no—
103C2×C3×C4⋊C4—21no—
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C4⋊C4C2311yescharacteristic
107C2×C3×C22⋊C4—21no—
108C2×C3×C22⋊C4—22no—
109C2×C3×C22⋊C4—22no—
110C2×C3×C22⋊C4—21no—
111C2×C3×C22⋊C4—21no—
112C2×C3×C22⋊C4—21no—
113C2×C3×C22⋊C4—21no—
114C2×C3×C42—22no—
115C2×C3×C42—22no—
116C2×C3×C42—21no—
117C2×C3×C42D411yescharacteristic
118C2×C3×C42D411yescharacteristic
119C2×C3×C42C2311yescharacteristic
120C2×C3×C42C2311yescharacteristic
121C3×C4⋊C8—22no—
122C3×C4⋊C8—22no—
123C3×#103—24no—
124C3×#103—24no—
125C3×#103—42no—
126C3×#102—24no—
127C3×#102—24no—
128C3×#102—42no—
129C3×C22⋊C8—24no—
130C3×#95—21no—
131C3×#95—21no—
132C3×#95—21no—
133C22×#41C22×C312yes—
134C22×SD16C22×C312yes—
135C22×D8C22×C312yes—
136#532—24no—
137#532—24no—
138C2×C4⋊Q8C22×C311yescharacteristic
139C2×#127C22×C311yescharacteristic
140C2×#124C22×C312yes—
141C2×#121—21no—
142C2×#121—21no—
143C2×#121C22×C311yescharacteristic
144C2×C4×D4—21no—
145C2×C4×D4—21no—
146C2×C4×D4—21no—
147C2×C4×D4C22×C311yescharacteristic
148C22×C42C22×C311yescharacteristic
149#461—24no—
150#459—24no—
151#449—28no—
152C2×C4⋊C8C22×C311yescharacteristic
153C2×C4⋊C8C22×C311yescharacteristic
154C2×#103C22×C312yes—
155C2×#103C22×C312yes—
156C2×#103C22×C312yes—
157C2×#102C22×C312yes—
158C2×#102C22×C312yes—
159C2×#102C22×C312yes—
160C2×C22⋊C8C22×C312yes—
161#390C22×C311yescharacteristic
162#389C22×C311yescharacteristic
163#388—21no—
164#386—21no—
165#380C22×C311yescharacteristic
166C4×C4⋊C4C22×C311yescharacteristic
167C4×C22⋊C4—21no—
168#336C22×C312yes—
169C24×C3—21no—
170C24×C3—22no—
171C24×C3C2×D411yescharacteristic
172C3×#41—48no—
173C3×#41—48no—
174C3×#41—48no—
175C3×#41—48no—
176C2×C3×Q8—22no—
177C2×C3×Q8—22no—
178C2×C3×Q8—22no—
179C2×C3×Q8—22no—
180C2×C3×Q8—22no—
181C2×C3×Q8C2×D414yes—
182C2×C3×D4—28no—
183C2×C3×D4—24no—
184C2×C3×D4—24no—
185C2×C3×D4—24no—
186C2×C3×D4—22no—
187C2×C3×D4—21no—
188C2×C3×D4—21no—
189C2×C3×D4—22no—
190C2×C3×D4—22no—
191C2×C3×D4—21no—
192C2×C3×D4—22no—
193C2×C3×D4—21no—
194C2×C3×D4—22no—
195C2×C3×D4—21no—
196C2×C3×D4—42no—
197C2×C3×D4—42no—
198C2×C3×D4—42no—
199C2×C3×D4—42no—
200C2×C3×D4—44no—
201C2×C3×D4—44no—
202C2×C3×D4—42no—
203C2×C3×D4—42no—
204C2×C3×D4C2×D414yes—
205C2×C3×D4C2×D412yes—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—28no—
211C22×C3×C4—21no—
212C22×C3×C4—22no—
213C22×C3×C4—22no—
214C22×C3×C4—22no—
215C22×C3×C4—22no—
216C22×C3×C4—22no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—41no—
220C22×C3×C4—41no—
221C22×C3×C4—44no—
222C22×C3×C4—44no—
223C22×C3×C4—42no—
224C22×C3×C4—42no—
225C22×C3×C4—42no—
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D412yes—
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4#4112yes—
233C22×C3×C4C2411yescharacteristic
234C3×SD16—48no—
235C3×D8—48no—
236C2×C3×C8—22no—
237C2×C3×C8—22no—
238C2×C3×C8—22no—
239C2×C3×C8—22no—
240C2×C3×C8—22no—
241C2×C3×C8—22no—
242C3×C4⋊C4—24no—
243C3×C4⋊C4—24no—
244C3×C4⋊C4—21no—
245C3×C4⋊C4—21no—
246C3×C4⋊C4—21no—
247C3×C4⋊C4—21no—
248C3×C4⋊C4—21no—
249C3×C4⋊C4—42no—
250C3×C4⋊C4C2×D412yes—
251C3×C22⋊C4—28no—
252C3×C22⋊C4—28no—
253C3×C22⋊C4—24no—
254C3×C22⋊C4—42no—
255C3×C22⋊C4—42no—
256C3×C22⋊C4—42no—
257C3×C22⋊C4—42no—
258C3×C42—22no—
259C3×C42—22no—
260C3×C42—21no—
261C3×C42—21no—
262C3×C42—42no—
263C3×C42C2×D412yes—
264C3×C42C2×D412yes—
265C2×#41—24no—
266C2×#41—24no—
267C2×#41—24no—
268C2×#41—24no—
269C2×#41—42no—
270C2×#41—42no—
271C22×Q8C23×C312yes—
272C22×D4—21no—
273C22×D4—22no—
274C22×D4—21no—
275C22×D4—21no—
276C22×D4C23×C311yescharacteristic
277C22×D4C23×C312yes—
278C23×C4—22no—
279C23×C4—21no—
280C23×C4C3×D411yescharacteristic
281C23×C4C3×D411yescharacteristic
282C23×C4C23×C311yescharacteristic
283C2×SD16—24no—
284C2×SD16—24no—
285C2×SD16—42no—
286C2×D8—24no—
287C2×D8—24no—
288C2×D8—42no—
289C22×C8C23×C312yes—
290C22×C8C23×C312yes—
291C4⋊Q8—22no—
292C4⋊Q8C3×D414yescomplemented
293#127—22no—
294#127C3×D414yescomplemented
295#124—24no—
296#124—24no—
297#121—28no—
298#121—28no—
299#121—22no—
300#121C3×D414yescomplemented
301C4×D4—28no—
302C4×D4—28no—
303C4×D4—22no—
304C4×D4—22no—
305C4×D4—44no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4C23×C311yescharacteristic
310C2×C4⋊C4C23×C311yescharacteristic
311C2×C4⋊C4C23×C311yescharacteristic
312C2×C22⋊C4—22no—
313C2×C22⋊C4—22no—
314C2×C22⋊C4—21no—
315C2×C22⋊C4—21no—
316C2×C22⋊C4—21no—
317C2×C22⋊C4—21no—
318C2×C22⋊C4—21no—
319C2×C42—22no—
320C2×C42—22no—
321C2×C42—21no—
322C2×C42C3×D411yescharacteristic
323C2×C42C3×D411yescharacteristic
324C2×C42C23×C311yescharacteristic
325C2×C42C23×C311yescharacteristic
326C4⋊C8—22no—
327C4⋊C8—22no—
328#103—24no—
329#103—24no—
330#103—42no—
331#102—24no—
332#102—24no—
333#102—42no—
334C22⋊C8—24no—
335#95—21no—
336#95—21no—
337#95—21no—
338C23×C3—21no—
339C23×C3—21no—
340C23×C3—21no—
341C23×C3—21no—
342C23×C3—21no—
343C23×C3—21no—
344C23×C3—24no—
345C23×C3—22no—
346C23×C3—41no—
347C23×C3—42no—
348C23×C3—42no—
349C23×C3—41no—
350C23×C3—41no—
351C23×C3—42no—
352C23×C3—41no—
353C23×C3—42no—
354C23×C3—41no—
355C23×C3—42no—
356C23×C3—42no—
357C23×C3—41no—
358C23×C3#12112yes—
359C23×C3C22×D411yescharacteristic
360C3×Q8—24no—
361C3×Q8—24no—
362C3×Q8—42no—
363C3×Q8—42no—
364C3×D4—22no—
365C3×D4—24no—
366C3×D4—22no—
367C3×D4—24no—
368C3×D4—48no—
369C3×D4—48no—
370C3×D4—416no—
371C3×D4—42no—
372C3×D4—41no—
373C3×D4—41no—
374C3×D4—42no—
375C3×D4—48no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—22no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—24no—
387C2×C3×C4—22no—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—44no—
393C2×C3×C4—416no—
394C2×C3×C4—42no—
395C2×C3×C4—42no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—44no—
399C2×C3×C4—41no—
400C2×C3×C4—41no—
401C2×C3×C4—41no—
402C2×C3×C4—41no—
403C2×C3×C4—41no—
404C2×C3×C4—41no—
405C2×C3×C4—84no—
406C2×C3×C4#12012yes—
407C2×C3×C4#12012yes—
408C2×C3×C4#12112yes—
409C2×C3×C4#13512yes—
410C2×C3×C4AGL(1,ℤ/8)12yes—
411C2×C3×C4C22×D411yescharacteristic
412C2×C3×C4C22×D411yescharacteristic
413C2×C3×C4C22×D411yescharacteristic
414C2×C3×C4C2×#4111yescharacteristic
415C2×C3×C4H(5,𝔽2)11yescharacteristic
416C2×C3×C4H(5,𝔽2)11yescharacteristic
417C3×C8—42no—
418C3×C8—42no—
419C24—21no—
420C24—22no—
421C24C2×C3×D411yescharacteristic
422#41—48no—
423#41—48no—
424#41—48no—
425#41—48no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8C2×C3×D414yes—
432C2×D4—28no—
433C2×D4—24no—
434C2×D4—24no—
435C2×D4—24no—
436C2×D4—22no—
437C2×D4—21no—
438C2×D4—21no—
439C2×D4—22no—
440C2×D4—22no—
441C2×D4—21no—
442C2×D4—22no—
443C2×D4—21no—
444C2×D4—22no—
445C2×D4—21no—
446C2×D4—42no—
447C2×D4—42no—
448C2×D4—42no—
449C2×D4—44no—
450C2×D4—42no—
451C2×D4—44no—
452C2×D4—42no—
453C2×D4—42no—
454C2×D4C2×C3×D414yes—
455C2×D4C2×C3×D412yes—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—28no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—44no—
472C22×C4—44no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4C2×C3×D411yescharacteristic
477C22×C4C2×C3×D411yescharacteristic
478C22×C4C2×C3×D411yescharacteristic
479C22×C4C2×C3×D411yescharacteristic
480C22×C4C2×C3×D412yes—
481C22×C4C2×C3×D411yescharacteristic
482C22×C4C3×#4112yes—
483C22×C4C24×C311yescharacteristic
484SD16—48no—
485D8—48no—
486C2×C8—22no—
487C2×C8—22no—
488C2×C8—22no—
489C2×C8—22no—
490C2×C8—22no—
491C2×C8—22no—
492C4⋊C4—24no—
493C4⋊C4—24no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—42no—
500C4⋊C4C2×C3×D412yes—
501C22⋊C4—28no—
502C22⋊C4—28no—
503C22⋊C4—24no—
504C22⋊C4—42no—
505C22⋊C4—42no—
506C22⋊C4—42no—
507C22⋊C4—42no—
508C42—22no—
509C42—22no—
510C42—21no—
511C42—21no—
512C42—42no—
513C42C2×C3×D412yes—
514C42C2×C3×D412yes—
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—22no—
518C22×C3—41no—
519C22×C3—41no—
520C22×C3—41no—
521C22×C3—41no—
522C22×C3—44no—
523C22×C3—42no—
524C22×C3—44no—
525C22×C3—44no—
526C22×C3—42no—
527C22×C3—42no—
528C22×C3—82no—
529C22×C3—81no—
530C22×C3—82no—
531C22×C3—81no—
532C22×C3—81no—
533C22×C3—81no—
534C22×C3—82no—
535C22×C3—82no—
536C22×C3C2×#12011yescharacteristic
537C22×C3C2×#12111yescharacteristic
538C22×C3#53511yescharacteristic
539C22×C3C2×#13511yescharacteristic
540C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
541C22×C3#57511yescharacteristic
542C22×C3#57511yescharacteristic
543C3×C4—22no—
544C3×C4—22no—
545C3×C4—44no—
546C3×C4—41no—
547C3×C4—41no—
548C3×C4—42no—
549C3×C4—81no—
550C3×C4—81no—
551C3×C4#44914yescomplemented
552C3×C4D4211yescharacteristic
553C3×C4D4211yescharacteristic
554C3×C4#54611yescharacteristic
555C3×C4#54611yescharacteristic
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—24no—
563C23—22no—
564C23—41no—
565C23—42no—
566C23—41no—
567C23—42no—
568C23—41no—
569C23—42no—
570C23—42no—
571C23—41no—
572C23—41no—
573C23—42no—
574C23—42no—
575C23—41no—
576C23C3×#12112yes—
577C23C22×C3×D411yescharacteristic
578Q8—24no—
579Q8—24no—
580Q8—42no—
581Q8—42no—
582D4—22no—
583D4—24no—
584D4—22no—
585D4—24no—
586D4—48no—
587D4—416no—
588D4—48no—
589D4—48no—
590D4—42no—
591D4—42no—
592D4—41no—
593D4—41no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—24no—
609C2×C4—22no—
610C2×C4—416no—
611C2×C4—44no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—44no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—84no—
624C2×C4C3×#12012yes—
625C2×C4C3×#12012yes—
626C2×C4C3×#12112yes—
627C2×C4C3×#13512yes—
628C2×C4C3×AGL(1,ℤ/8)12yes—
629C2×C4C22×C3×D411yescharacteristic
630C2×C4C22×C3×D411yescharacteristic
631C2×C4C22×C3×D411yescharacteristic
632C2×C4C2×C3×#4111yescharacteristic
633C2×C4C3×H(5,𝔽2)11yescharacteristic
634C2×C4C3×H(5,𝔽2)11yescharacteristic
635C8—42no—
636C8—42no—
637C2×C3—42no—
638C2×C3—84no—
639C2×C3—82no—
640C2×C3#240811yescharacteristic
641C2×C3C2×#44911yescharacteristic
642C2×C3#300511yescharacteristic
643C2×C3#303511yescharacteristic
644C2×C3#303611yescharacteristic
645C2×C3#321211yescharacteristic
646C2×C3#321411yescharacteristic
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—44no—
655C22—42no—
656C22—44no—
657C22—44no—
658C22—42no—
659C22—42no—
660C22—81no—
661C22—82no—
662C22—81no—
663C22—82no—
664C22—81no—
665C22—81no—
666C22—82no—
667C22—82no—
668C22C2×C3×#12011yescharacteristic
669C22C2×C3×#12111yescharacteristic
670C22C3×#53511yescharacteristic
671C22C2×C3×#13511yescharacteristic
672C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
673C22C3×#57511yescharacteristic
674C22C3×#57511yescharacteristic
675C4—22no—
676C4—22no—
677C4—44no—
678C4—41no—
679C4—41no—
680C4—42no—
681C4—81no—
682C4—81no—
683C4C3×#44914yescomplemented
684C4C3×D4211yescharacteristic
685C4C3×D4211yescharacteristic
686C4C3×#54611yescharacteristic
687C4C3×#54611yescharacteristic
688C3#2421011yescharacteristic, direct product factor, Sylow
689C2—42no—
690C2—84no—
691C2—82no—
692C2C3×#240811yescharacteristic
693C2C2×C3×#44911yescharacteristic
694C2C3×#300511yescharacteristic
695C2C3×#303511yescharacteristic
696C2C3×#303611yescharacteristic
697C2C3×#321211yescharacteristic
698C2C3×#321411yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C22×C3×C42 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#532C2semidirect
2. C2×C3×#461C2semidirect
3. C2×C3×#459C2semidirect
4. C2×C3×#449C2semidirect
5. C3×C4×#121C2semidirect
6. C3×#2042C2semidirect
7. C3×#2012C2semidirect
8. C3×#1982C2semidirect
9. C3×#1981C2semidirect
10. C3×#1797C2semidirect
11. C3×#1788C2semidirect
12. #24210C3direct (N × H)
49. C2×#532C2×C3semidirect
50. C2×#461C2×C3semidirect
51. C2×#459C2×C3semidirect
52. C2×#449C2×C3semidirect
53. C4×#121C2×C3semidirect
54. #2042C2×C3semidirect
55. #2012C2×C3semidirect
56. #1982C2×C3semidirect
57. #1981C2×C3semidirect
58. #1797C2×C3semidirect
59. #1788C2×C3semidirect
87. C3×C4⋊Q8D4semidirect
89. C3×#127D4semidirect
95. C3×#121D4semidirect
292. C4⋊Q8C3×D4semidirect
294. #127C3×D4semidirect
300. #121C3×D4semidirect
551. C3×C4#449semidirect
683. C4C3×#449semidirect
688. C3#24210direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#5322
C2×C3×#4612
C2×C3×#4592
C2×C3×#4492
C3×C4×#1212
C3×#20422
C3×#20122
C3×#19822
C3×#19812
C3×#17972
C3×#17882
#242103