Finite Group Databasebeta

← C3×#14224 #10632831

Subgroups — C3×#14224 #10632831

Order 768.

2162 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×#394C211yesmaximal, characteristic
2C2×C3×#388C212yesmaximal, complemented
3C2×C3×#386C212yesmaximal
4C2×C3×C4×C22⋊C4C212yesmaximal, complemented
5C3×#1441C211yesmaximal, characteristic, complemented
6C3×#1439C212yesmaximal, complemented
7C3×C4⋊#95C211yesmaximal, characteristic, complemented
8C3×#1434C212yesmaximal, complemented
9C3×C22⋊#95C212yesmaximal, complemented
10#14224C311yesmaximal, characteristic, direct product factor, Sylow
11C23×C3×D4C2211yescharacteristic
12C24×C3×C4C2212yes—
13C22×C3×C4⋊C4C2211yescharacteristic
14C22×C3×C4⋊C4C2211yescharacteristic
15C22×C3×C4⋊C4C2211yescharacteristic
16C22×C3×C22⋊C4C2212yes—
17C22×C3×C22⋊C4C2212yes—
18C22×C3×C22⋊C4C2212yes—
19C22×C3×C22⋊C4C2212yes—
20C22×C3×C22⋊C4C2212yes—
21C22×C3×C42C2212yes—
22C22×C3×C42C2211yescharacteristic
23C3×#394C418yescomplemented
24C3×#388—28no—
25C3×#386—28no—
26C3×C4×C22⋊C4—28no—
27C2×C3×#95C2212yes—
28C2×C3×#95C2212yes—
29C2×C3×#95C2212yes—
30C2×C3×#95C2212yes—
31C2×C3×#95C2212yes—
32C2×C3×#95C2212yes—
33C2×C3×#95C2212yes—
34C2×C3×#95C2211yescharacteristic
35C2×C3×#95C2211yescharacteristic
36C2×#394C2×C311yescharacteristic
37C2×#388C2×C312yescomplemented
38C2×#386C2×C312yes—
39C2×C4×C22⋊C4C2×C312yescomplemented
40#1441C2×C311yescharacteristic, complemented
41#1439C2×C312yescomplemented
42C4⋊#95C2×C311yescharacteristic, complemented
43#1434C2×C312yescomplemented
44C22⋊#95C2×C312yescomplemented
45C25×C3C2312yes—
46C22×C3×D4—24no—
47C22×C3×D4—24no—
48C22×C3×D4—41no—
49C22×C3×D4—41no—
50C22×C3×D4C2×C414yes—
51C23×C3×C4—24no—
52C23×C3×C4—24no—
53C23×C3×C4—24no—
54C23×C3×C4—24no—
55C23×C3×C4—24no—
56C23×C3×C4—42no—
57C23×C3×C4—42no—
58C23×C3×C4C2312yes—
59C23×C3×C4C2311yescharacteristic
60C23×C3×C4C2312yes—
61C23×C3×C4C2311yescharacteristic
62C23×C3×C4C2312yes—
63C23×C3×C4C2312yes—
64C23×C3×C4C2311yescharacteristic
65C23×C3×C4C2312yes—
66C2×C3×C4⋊C4—24no—
67C2×C3×C4⋊C4—22no—
68C2×C3×C4⋊C4—41no—
69C2×C3×C4⋊C4—41no—
70C2×C3×C4⋊C4—41no—
71C2×C3×C4⋊C4—41no—
72C2×C3×C4⋊C4—41no—
73C2×C3×C4⋊C4C2×C414yescomplemented
74C2×C3×C22⋊C4—24no—
75C2×C3×C22⋊C4—24no—
76C2×C3×C22⋊C4—24no—
77C2×C3×C22⋊C4—24no—
78C2×C3×C22⋊C4—24no—
79C2×C3×C22⋊C4—24no—
80C2×C3×C22⋊C4—24no—
81C2×C3×C22⋊C4—24no—
82C2×C3×C22⋊C4—24no—
83C2×C3×C22⋊C4—24no—
84C2×C3×C22⋊C4—42no—
85C2×C3×C22⋊C4—42no—
86C2×C3×C22⋊C4C2×C418yescomplemented
87C2×C3×C22⋊C4C2×C418yescomplemented
88C2×C3×C22⋊C4D418yes—
89C2×C3×C42—24no—
90C2×C3×C42—24no—
91C2×C3×C42—24no—
92C2×C3×C42—41no—
93C2×C3×C42—41no—
94C2×C3×C42D414yescomplemented
95C3×#95—24no—
96C3×#95—24no—
97C3×#95—24no—
98C3×#95—24no—
99C3×#95—24no—
100C3×#95—24no—
101C3×#95—24no—
102C3×#95—41no—
103C3×#95C2×C414yescomplemented
104C23×D4C22×C311yescharacteristic
105C24×C4C22×C312yes—
106C22×C4⋊C4C22×C311yescharacteristic
107C22×C4⋊C4C22×C311yescharacteristic
108C22×C4⋊C4C22×C311yescharacteristic
109C22×C22⋊C4C22×C312yes—
110C22×C22⋊C4C22×C312yes—
111C22×C22⋊C4C22×C312yes—
112C22×C22⋊C4C22×C312yes—
113C22×C22⋊C4C22×C312yes—
114C22×C42C22×C312yes—
115C22×C42C22×C311yescharacteristic
116#394C3×C418yescomplemented
117#388—28no—
118#386—28no—
119C4×C22⋊C4—28no—
120C2×#95C22×C312yes—
121C2×#95C22×C312yes—
122C2×#95C22×C312yes—
123C2×#95C22×C312yes—
124C2×#95C22×C312yes—
125C2×#95C22×C312yes—
126C2×#95C22×C312yes—
127C2×#95C22×C311yescharacteristic
128C2×#95C22×C311yescharacteristic
129C24×C3—22no—
130C24×C3—22no—
131C24×C3—22no—
132C24×C3—22no—
133C24×C3—22no—
134C24×C3—22no—
135C24×C3—22no—
136C24×C3—22no—
137C24×C3—22no—
138C24×C3—22no—
139C24×C3—22no—
140C24×C3—22no—
141C24×C3C22×C414yes—
142C24×C3C2×D414yes—
143C24×C3#4114yes—
144C24×C3C2411yescharacteristic
145C2×C3×D4—216no—
146C2×C3×D4—44no—
147C2×C3×D4—44no—
148C2×C3×D4—48no—
149C2×C3×D4—44no—
150C22×C3×C4—22no—
151C22×C3×C4—22no—
152C22×C3×C4—21no—
153C22×C3×C4—21no—
154C22×C3×C4—22no—
155C22×C3×C4—22no—
156C22×C3×C4—21no—
157C22×C3×C4—21no—
158C22×C3×C4—216no—
159C22×C3×C4—22no—
160C22×C3×C4—22no—
161C22×C3×C4—22no—
162C22×C3×C4—22no—
163C22×C3×C4—22no—
164C22×C3×C4—22no—
165C22×C3×C4—22no—
166C22×C3×C4—22no—
167C22×C3×C4—22no—
168C22×C3×C4—22no—
169C22×C3×C4—22no—
170C22×C3×C4—22no—
171C22×C3×C4—22no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—22no—
175C22×C3×C4—22no—
176C22×C3×C4—22no—
177C22×C3×C4—21no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—21no—
182C22×C3×C4—21no—
183C22×C3×C4—21no—
184C22×C3×C4—22no—
185C22×C3×C4—22no—
186C22×C3×C4—22no—
187C22×C3×C4—22no—
188C22×C3×C4—22no—
189C22×C3×C4—22no—
190C22×C3×C4—22no—
191C22×C3×C4—22no—
192C22×C3×C4—48no—
193C22×C3×C4—48no—
194C22×C3×C4—48no—
195C22×C3×C4—48no—
196C22×C3×C4—48no—
197C22×C3×C4—48no—
198C22×C3×C4C22×C414yes—
199C22×C3×C4C22×C412yes—
200C22×C3×C4C22×C412yes—
201C22×C3×C4C22×C412yes—
202C22×C3×C4C2×D414yes—
203C22×C3×C4C2×D412yes—
204C22×C3×C4C2×D414yes—
205C22×C3×C4C2×D414yes—
206C22×C3×C4#4114yes—
207C22×C3×C4#4112yes—
208C22×C3×C4#4114yes—
209C3×C4⋊C4—44no—
210C3×C4⋊C4—44no—
211C3×C4⋊C4—44no—
212C3×C22⋊C4—216no—
213C3×C22⋊C4—216no—
214C3×C22⋊C4—216no—
215C3×C22⋊C4—48no—
216C3×C22⋊C4—48no—
217C3×C42—44no—
218C3×C42—48no—
219C25C23×C312yes—
220C22×D4—24no—
221C22×D4—24no—
222C22×D4—41no—
223C22×D4—41no—
224C22×D4C2×C3×C414yes—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—42no—
231C23×C4—42no—
232C23×C4C23×C312yes—
233C23×C4C23×C311yescharacteristic
234C23×C4C23×C312yes—
235C23×C4C23×C311yescharacteristic
236C23×C4C23×C312yes—
237C23×C4C23×C312yes—
238C23×C4C23×C311yescharacteristic
239C23×C4C23×C312yes—
240C2×C4⋊C4—24no—
241C2×C4⋊C4—22no—
242C2×C4⋊C4—41no—
243C2×C4⋊C4—41no—
244C2×C4⋊C4—41no—
245C2×C4⋊C4—41no—
246C2×C4⋊C4—41no—
247C2×C4⋊C4C2×C3×C414yescomplemented
248C2×C22⋊C4—24no—
249C2×C22⋊C4—24no—
250C2×C22⋊C4—24no—
251C2×C22⋊C4—24no—
252C2×C22⋊C4—24no—
253C2×C22⋊C4—24no—
254C2×C22⋊C4—24no—
255C2×C22⋊C4—24no—
256C2×C22⋊C4—24no—
257C2×C22⋊C4—24no—
258C2×C22⋊C4—42no—
259C2×C22⋊C4—42no—
260C2×C22⋊C4C2×C3×C418yescomplemented
261C2×C22⋊C4C2×C3×C418yescomplemented
262C2×C22⋊C4C3×D418yes—
263C2×C42—24no—
264C2×C42—24no—
265C2×C42—24no—
266C2×C42—41no—
267C2×C42—41no—
268C2×C42C3×D414yescomplemented
269#95—24no—
270#95—24no—
271#95—24no—
272#95—24no—
273#95—24no—
274#95—24no—
275#95—24no—
276#95—41no—
277#95C2×C3×C414yescomplemented
278C23×C3—24no—
279C23×C3—24no—
280C23×C3—24no—
281C23×C3—24no—
282C23×C3—24no—
283C23×C3—24no—
284C23×C3—24no—
285C23×C3—24no—
286C23×C3—24no—
287C23×C3—24no—
288C23×C3—24no—
289C23×C3—24no—
290C23×C3—24no—
291C23×C3—24no—
292C23×C3—24no—
293C23×C3—24no—
294C23×C3—24no—
295C23×C3—24no—
296C23×C3—42no—
297C23×C3—42no—
298C23×C3—42no—
299C23×C3—42no—
300C23×C3—42no—
301C23×C3—42no—
302C23×C3—42no—
303C23×C3—42no—
304C23×C3—42no—
305C23×C3—42no—
306C23×C3—42no—
307C23×C3—42no—
308C23×C3—42no—
309C23×C3—42no—
310C23×C3—42no—
311C23×C3—42no—
312C23×C3C4×D418yes—
313C23×C3C23×C411yescharacteristic
314C23×C3C22×D411yescharacteristic
315C23×C3C22×D412yes—
316C23×C3C2×#4112yes—
317C23×C3C2×#4111yescharacteristic
318C23×C3C2×#4112yes—
319C23×C3C2×#4112yes—
320C23×C3H(5,𝔽2)11yescharacteristic
321C23×C3H(5,𝔽2)11yescharacteristic
322C23×C3H(5,𝔽2)11yescharacteristic
323C23×C32−1+411yescharacteristic
324C3×D4—416no—
325C2×C3×C4—22no—
326C2×C3×C4—22no—
327C2×C3×C4—24no—
328C2×C3×C4—24no—
329C2×C3×C4—22no—
330C2×C3×C4—22no—
331C2×C3×C4—22no—
332C2×C3×C4—22no—
333C2×C3×C4—24no—
334C2×C3×C4—24no—
335C2×C3×C4—24no—
336C2×C3×C4—24no—
337C2×C3×C4—24no—
338C2×C3×C4—24no—
339C2×C3×C4—24no—
340C2×C3×C4—24no—
341C2×C3×C4—24no—
342C2×C3×C4—22no—
343C2×C3×C4—22no—
344C2×C3×C4—24no—
345C2×C3×C4—24no—
346C2×C3×C4—24no—
347C2×C3×C4—24no—
348C2×C3×C4—24no—
349C2×C3×C4—24no—
350C2×C3×C4—432no—
351C2×C3×C4—42no—
352C2×C3×C4—42no—
353C2×C3×C4—42no—
354C2×C3×C4—42no—
355C2×C3×C4—42no—
356C2×C3×C4—42no—
357C2×C3×C4—42no—
358C2×C3×C4—42no—
359C2×C3×C4—41no—
360C2×C3×C4—41no—
361C2×C3×C4—42no—
362C2×C3×C4—42no—
363C2×C3×C4—42no—
364C2×C3×C4—42no—
365C2×C3×C4—41no—
366C2×C3×C4—42no—
367C2×C3×C4—41no—
368C2×C3×C4—42no—
369C2×C3×C4—42no—
370C2×C3×C4—42no—
371C2×C3×C4—42no—
372C2×C3×C4—42no—
373C2×C3×C4—42no—
374C2×C3×C4—42no—
375C2×C3×C4—42no—
376C2×C3×C4C4×D414yes—
377C2×C3×C4#12118yes—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24C22×C3×C414yes—
391C24C2×C3×D414yes—
392C24C3×#4114yes—
393C24C24×C311yescharacteristic
394C2×D4—216no—
395C2×D4—44no—
396C2×D4—44no—
397C2×D4—48no—
398C2×D4—44no—
399C22×C4—22no—
400C22×C4—22no—
401C22×C4—21no—
402C22×C4—21no—
403C22×C4—22no—
404C22×C4—22no—
405C22×C4—21no—
406C22×C4—21no—
407C22×C4—216no—
408C22×C4—22no—
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—21no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—48no—
442C22×C4—48no—
443C22×C4—48no—
444C22×C4—48no—
445C22×C4—48no—
446C22×C4—48no—
447C22×C4C22×C3×C414yes—
448C22×C4C22×C3×C412yes—
449C22×C4C22×C3×C412yes—
450C22×C4C22×C3×C412yes—
451C22×C4C2×C3×D414yes—
452C22×C4C2×C3×D412yes—
453C22×C4C2×C3×D414yes—
454C22×C4C2×C3×D414yes—
455C22×C4C3×#4114yes—
456C22×C4C3×#4112yes—
457C22×C4C3×#4114yes—
458C4⋊C4—44no—
459C4⋊C4—44no—
460C4⋊C4—44no—
461C22⋊C4—216no—
462C22⋊C4—216no—
463C22⋊C4—216no—
464C22⋊C4—48no—
465C22⋊C4—48no—
466C42—44no—
467C42—48no—
468C22×C3—28no—
469C22×C3—28no—
470C22×C3—28no—
471C22×C3—44no—
472C22×C3—44no—
473C22×C3—44no—
474C22×C3—44no—
475C22×C3—44no—
476C22×C3—44no—
477C22×C3—44no—
478C22×C3—44no—
479C22×C3—44no—
480C22×C3—44no—
481C22×C3—44no—
482C22×C3—44no—
483C22×C3C2×C4×D411yescharacteristic
484C22×C3C2×C4×D412yes—
485C22×C3C4×#4112yes—
486C22×C3#51811yescharacteristic
487C22×C3#52011yescharacteristic
488C22×C3C2×#12112yes—
489C22×C3#52512yes—
490C22×C3#52912yes—
491C22×C3#53212yes—
492C22×C3#53411yescharacteristic
493C22×C3#53711yescharacteristic
494C22×C3#53811yescharacteristic
495C22×C3#53911yescharacteristic
496C22×C3D4211yescharacteristic
497C22×C3#54612yes—
498C22×C3#54612yes—
499C22×C3#54712yes—
500C22×C3#55111yescharacteristic
501C22×C3#55112yes—
502C22×C3#55112yes—
503C22×C3#55212yes—
504C22×C3#55511yescharacteristic
505C22×C3#55511yescharacteristic
506C3×C4—24no—
507C3×C4—28no—
508C3×C4—42no—
509C3×C4—42no—
510C3×C4—44no—
511C3×C4—44no—
512C3×C4—44no—
513C3×C4—82no—
514C23—24no—
515C23—24no—
516C23—24no—
517C23—24no—
518C23—24no—
519C23—24no—
520C23—24no—
521C23—24no—
522C23—24no—
523C23—24no—
524C23—24no—
525C23—24no—
526C23—24no—
527C23—24no—
528C23—24no—
529C23—24no—
530C23—24no—
531C23—24no—
532C23—42no—
533C23—42no—
534C23—42no—
535C23—42no—
536C23—42no—
537C23—42no—
538C23—42no—
539C23—42no—
540C23—42no—
541C23—42no—
542C23—42no—
543C23—42no—
544C23—42no—
545C23—42no—
546C23—42no—
547C23—42no—
548C23C3×C4×D418yes—
549C23C23×C3×C411yescharacteristic
550C23C22×C3×D411yescharacteristic
551C23C22×C3×D412yes—
552C23C2×C3×#4112yes—
553C23C2×C3×#4111yescharacteristic
554C23C2×C3×#4112yes—
555C23C2×C3×#4112yes—
556C23C3×H(5,𝔽2)11yescharacteristic
557C23C3×H(5,𝔽2)11yescharacteristic
558C23C3×H(5,𝔽2)11yescharacteristic
559C23C3×2−1+411yescharacteristic
560D4—416no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—432no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4C3×C4×D414yes—
613C2×C4C3×#12118yes—
614C2×C3—48no—
615C2×C3C4×#12112yes—
616C2×C3#232511yescharacteristic
617C2×C3#235811yescharacteristic
618C2×C3#235912yes—
619C2×C3#237211yescharacteristic
620C2×C3#253412yes—
621C2×C3#253711yescharacteristic
622C2×C3#255312yes—
623C2×C3#255511yescharacteristic
624C2×C3#257211yescharacteristic
625C2×C3#260911yescharacteristic
626C22—28no—
627C22—28no—
628C22—28no—
629C22—44no—
630C22—44no—
631C22—44no—
632C22—44no—
633C22—44no—
634C22—44no—
635C22—44no—
636C22—44no—
637C22—44no—
638C22—44no—
639C22—44no—
640C22—44no—
641C22C2×C3×C4×D411yescharacteristic
642C22C2×C3×C4×D412yes—
643C22C3×C4×#4112yes—
644C22C3×#51811yescharacteristic
645C22C3×#52011yescharacteristic
646C22C2×C3×#12112yes—
647C22C3×#52512yes—
648C22C3×#52912yes—
649C22C3×#53212yes—
650C22C3×#53411yescharacteristic
651C22C3×#53711yescharacteristic
652C22C3×#53811yescharacteristic
653C22C3×#53911yescharacteristic
654C22C3×D4211yescharacteristic
655C22C3×#54612yes—
656C22C3×#54612yes—
657C22C3×#54712yes—
658C22C3×#55112yes—
659C22C3×#55112yes—
660C22C3×#55111yescharacteristic
661C22C3×#55212yes—
662C22C3×#55511yescharacteristic
663C22C3×#55511yescharacteristic
664C4—28no—
665C4—24no—
666C4—44no—
667C4—44no—
668C4—44no—
669C4—42no—
670C4—42no—
671C4—82no—
672C3#1422411yescharacteristic, direct product factor, Sylow
673C2—48no—
674C2C3×C4×#12112yes—
675C2C3×#232511yescharacteristic
676C2C3×#235811yescharacteristic
677C2C3×#235912yes—
678C2C3×#237211yescharacteristic
679C2C3×#253412yes—
680C2C3×#253711yescharacteristic
681C2C3×#255312yes—
682C2C3×#255511yescharacteristic
683C2C3×#257211yescharacteristic
684C2C3×#260911yescharacteristic
subgroupG/H
center, socleC24×C3C24
commutatorC23C23×C3×C4
Frattini, cosocleC24C24×C3
prime radicalC23×C3×D4C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C3 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C3×#388C2semidirect
4. C2×C3×C4×C22⋊C4C2semidirect
5. C3×#1441C2semidirect
6. C3×#1439C2semidirect
7. C3×C4⋊#95C2semidirect
8. C3×#1434C2semidirect
9. C3×C22⋊#95C2semidirect
10. #14224C3direct (N × H)
23. C3×#394C4semidirect
37. C2×#388C2×C3semidirect
39. C2×C4×C22⋊C4C2×C3semidirect
40. #1441C2×C3semidirect
41. #1439C2×C3semidirect
42. C4⋊#95C2×C3semidirect
43. #1434C2×C3semidirect
44. C22⋊#95C2×C3semidirect
73. C2×C3×C4⋊C4C2×C4semidirect
86. C2×C3×C22⋊C4C2×C4semidirect
87. C2×C3×C22⋊C4C2×C4semidirect
94. C2×C3×C42D4semidirect
103. C3×#95C2×C4semidirect
116. #394C3×C4semidirect
247. C2×C4⋊C4C2×C3×C4semidirect
260. C2×C22⋊C4C2×C3×C4semidirect
261. C2×C22⋊C4C2×C3×C4semidirect
268. C2×C42C3×D4semidirect
277. #95C2×C3×C4semidirect
672. C3#14224direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#3942
C2×C3×#3882
C2×C3×#3862
C2×C3×C4×C22⋊C42
C3×#14412
C3×#14392
C3×C4⋊#952
C3×#14342
C3×C22⋊#952
#142243