Finite Group Databasebeta

← C3×#14935 #10633542

Subgroups — C3×#14935 #10633542

Order 768.

1902 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×#385C211yesmaximal, characteristic
2C2×C3×#385C211yesmaximal, characteristic
3C2×C3×#381C211yesmaximal, characteristic
4C2×C3×#381C211yesmaximal, characteristic
5C2×C3×#380C211yesmaximal, characteristic
6C22×C3×#95C211yesmaximal, characteristic
7C3×#1443C212yesmaximal, complemented
8C3×#1441C212yesmaximal, complemented
9C3×#1441C212yesmaximal, complemented
10C3×#1441C212yesmaximal, complemented
11C3×C22⋊#95C211yesmaximal, characteristic
12#14935C311yesmaximal, characteristic, direct product factor, Sylow
13C24×C3×C4C2211yescharacteristic
14C24×C3×C4C2211yescharacteristic
15C24×C3×C4C2211yescharacteristic
16C22×C3×C4⋊C4C2211yescharacteristic
17C22×C3×C4⋊C4C2212yes—
18C22×C3×C4⋊C4C2212yes—
19C22×C3×C4⋊C4C2211yescharacteristic
20C22×C3×C22⋊C4C2211yescharacteristic
21C22×C3×C22⋊C4C2211yescharacteristic
22C22×C3×C22⋊C4C2211yescharacteristic
23C22×C3×C22⋊C4C2211yescharacteristic
24C3×#385—24no—
25C3×#385—24no—
26C3×#381—24no—
27C3×#381—24no—
28C3×#380—24no—
29C2×C3×#95—24no—
30C2×C3×#95C2212yes—
31C2×C3×#95C2212yes—
32C2×C3×#95C2212yes—
33C2×C3×#95C2212yes—
34C2×C3×#95C2212yes—
35C2×C3×#95C2212yes—
36C2×C3×#95C2212yes—
37C2×C3×#95C2211yescharacteristic
38C2×C3×#95C2212yes—
39C2×C3×#95C2211yescharacteristic
40C2×C3×#95C2212yes—
41C2×C3×#95C2212yes—
42C2×#385C2×C311yescharacteristic
43C2×#385C2×C311yescharacteristic
44C2×#381C2×C311yescharacteristic
45C2×#381C2×C311yescharacteristic
46C2×#380C2×C311yescharacteristic
47C22×#95C2×C311yescharacteristic
48#1443C2×C312yescomplemented
49#1441C2×C312yescomplemented
50#1441C2×C312yescomplemented
51#1441C2×C312yescomplemented
52C22⋊#95C2×C311yescharacteristic
53C25×C3C2311yescharacteristic
54C23×C3×C4—22no—
55C23×C3×C4—22no—
56C23×C3×C4—22no—
57C23×C3×C4—22no—
58C23×C3×C4—22no—
59C23×C3×C4—22no—
60C23×C3×C4—22no—
61C23×C3×C4—22no—
62C23×C3×C4—22no—
63C23×C3×C4—24no—
64C23×C3×C4—24no—
65C23×C3×C4—22no—
66C23×C3×C4—22no—
67C23×C3×C4—42no—
68C23×C3×C4—42no—
69C23×C3×C4D414yes—
70C23×C3×C4Q814yes—
71C23×C3×C4C2311yescharacteristic
72C23×C3×C4C2312yes—
73C23×C3×C4C2311yescharacteristic
74C23×C3×C4C2311yescharacteristic
75C23×C3×C4C2311yescharacteristic
76C23×C3×C4C2312yes—
77C23×C3×C4C2311yescharacteristic
78C23×C3×C4C2312yes—
79C23×C3×C4C2312yes—
80C23×C3×C4C2311yescharacteristic
81C2×C3×C4⋊C4—24no—
82C2×C3×C4⋊C4—24no—
83C2×C3×C4⋊C4—22no—
84C2×C3×C4⋊C4—22no—
85C2×C3×C4⋊C4—24no—
86C2×C3×C4⋊C4—24no—
87C2×C3×C4⋊C4—24no—
88C2×C3×C4⋊C4—42no—
89C2×C3×C4⋊C4—42no—
90C2×C3×C4⋊C4—42no—
91C2×C3×C22⋊C4—22no—
92C2×C3×C22⋊C4—22no—
93C2×C3×C22⋊C4—22no—
94C2×C3×C22⋊C4—22no—
95C2×C3×C22⋊C4—22no—
96C2×C3×C22⋊C4—22no—
97C2×C3×C22⋊C4—22no—
98C2×C3×C22⋊C4—22no—
99C2×C3×C22⋊C4—22no—
100C2×C3×C22⋊C4—22no—
101C2×C3×C22⋊C4D414yes—
102C2×C3×C22⋊C4D414yes—
103C3×#95—24no—
104C3×#95—24no—
105C3×#95—24no—
106C3×#95—24no—
107C3×#95—24no—
108C3×#95—24no—
109C3×#95—24no—
110C3×#95—24no—
111C3×#95—22no—
112C3×#95—22no—
113C3×#95—24no—
114C3×#95—42no—
115C24×C4C22×C311yescharacteristic
116C24×C4C22×C311yescharacteristic
117C24×C4C22×C311yescharacteristic
118C22×C4⋊C4C22×C311yescharacteristic
119C22×C4⋊C4C22×C312yes—
120C22×C4⋊C4C22×C312yes—
121C22×C4⋊C4C22×C311yescharacteristic
122C22×C22⋊C4C22×C311yescharacteristic
123C22×C22⋊C4C22×C311yescharacteristic
124C22×C22⋊C4C22×C311yescharacteristic
125C22×C22⋊C4C22×C311yescharacteristic
126#385—24no—
127#385—24no—
128#381—24no—
129#381—24no—
130#380—24no—
131C2×#95—24no—
132C2×#95C22×C312yes—
133C2×#95C22×C312yes—
134C2×#95C22×C312yes—
135C2×#95C22×C312yes—
136C2×#95C22×C311yescharacteristic
137C2×#95C22×C312yes—
138C2×#95C22×C312yes—
139C2×#95C22×C312yes—
140C2×#95C22×C312yes—
141C2×#95C22×C312yes—
142C2×#95C22×C311yescharacteristic
143C2×#95C22×C312yes—
144C24×C3—22no—
145C24×C3—22no—
146C24×C3—22no—
147C24×C3—22no—
148C24×C3C2×D412yes—
149C24×C3C2×D412yes—
150C24×C3C2×D412yes—
151C24×C3C2×Q812yes—
152C24×C3#4112yes—
153C24×C3#4112yes—
154C24×C3#4112yes—
155C24×C3C2411yescharacteristic
156C22×C3×C4—21no—
157C22×C3×C4—21no—
158C22×C3×C4—22no—
159C22×C3×C4—28no—
160C22×C3×C4—28no—
161C22×C3×C4—28no—
162C22×C3×C4—28no—
163C22×C3×C4—28no—
164C22×C3×C4—21no—
165C22×C3×C4—22no—
166C22×C3×C4—22no—
167C22×C3×C4—22no—
168C22×C3×C4—22no—
169C22×C3×C4—21no—
170C22×C3×C4—21no—
171C22×C3×C4—22no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—21no—
175C22×C3×C4—21no—
176C22×C3×C4—22no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—21no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—22no—
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—22no—
193C22×C3×C4—22no—
194C22×C3×C4—28no—
195C22×C3×C4—21no—
196C22×C3×C4—21no—
197C22×C3×C4—22no—
198C22×C3×C4—21no—
199C22×C3×C4—22no—
200C22×C3×C4—21no—
201C22×C3×C4—22no—
202C22×C3×C4—22no—
203C22×C3×C4—22no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—22no—
207C22×C3×C4—22no—
208C22×C3×C4—22no—
209C22×C3×C4—22no—
210C22×C3×C4—22no—
211C22×C3×C4—22no—
212C22×C3×C4—44no—
213C22×C3×C4—48no—
214C22×C3×C4—48no—
215C22×C3×C4—48no—
216C22×C3×C4—48no—
217C22×C3×C4—44no—
218C22×C3×C4—44no—
219C22×C3×C4—44no—
220C22×C3×C4—44no—
221C22×C3×C4—44no—
222C22×C3×C4—44no—
223C22×C3×C4C2×D412yes—
224C22×C3×C4C2×D414yes—
225C22×C3×C4C2×D412yes—
226C22×C3×C4C2×D412yes—
227C22×C3×C4C2×D412yes—
228C22×C3×C4C2×Q814yes—
229C22×C3×C4#4114yes—
230C22×C3×C4#4114yes—
231C3×C4⋊C4—48no—
232C3×C4⋊C4—48no—
233C3×C4⋊C4—44no—
234C3×C4⋊C4—44no—
235C3×C22⋊C4—28no—
236C3×C22⋊C4—28no—
237C3×C22⋊C4—44no—
238C3×C22⋊C4—44no—
239C25C23×C311yescharacteristic
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—22no—
249C23×C4—24no—
250C23×C4—24no—
251C23×C4—22no—
252C23×C4—22no—
253C23×C4—42no—
254C23×C4—42no—
255C23×C4C3×D414yes—
256C23×C4C3×Q814yes—
257C23×C4C23×C311yescharacteristic
258C23×C4C23×C312yes—
259C23×C4C23×C311yescharacteristic
260C23×C4C23×C311yescharacteristic
261C23×C4C23×C312yes—
262C23×C4C23×C311yescharacteristic
263C23×C4C23×C311yescharacteristic
264C23×C4C23×C312yes—
265C23×C4C23×C312yes—
266C23×C4C23×C311yescharacteristic
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—22no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—42no—
275C2×C4⋊C4—42no—
276C2×C4⋊C4—42no—
277C2×C22⋊C4—22no—
278C2×C22⋊C4—22no—
279C2×C22⋊C4—22no—
280C2×C22⋊C4—22no—
281C2×C22⋊C4—22no—
282C2×C22⋊C4—22no—
283C2×C22⋊C4—22no—
284C2×C22⋊C4—22no—
285C2×C22⋊C4—22no—
286C2×C22⋊C4—22no—
287C2×C22⋊C4C3×D414yes—
288C2×C22⋊C4C3×D414yes—
289#95—24no—
290#95—24no—
291#95—24no—
292#95—24no—
293#95—24no—
294#95—24no—
295#95—24no—
296#95—24no—
297#95—22no—
298#95—22no—
299#95—24no—
300#95—42no—
301C23×C3—22no—
302C23×C3—22no—
303C23×C3—24no—
304C23×C3—24no—
305C23×C3—22no—
306C23×C3—22no—
307C23×C3—24no—
308C23×C3—24no—
309C23×C3—24no—
310C23×C3—24no—
311C23×C3—24no—
312C23×C3—24no—
313C23×C3—24no—
314C23×C3—24no—
315C23×C3—24no—
316C23×C3—24no—
317C23×C3#12114yes—
318C23×C3#12114yes—
319C23×C3#12114yes—
320C23×C3C22⋊Q814yes—
321C23×C3C22⋊Q814yes—
322C23×C3C22⋊Q814yes—
323C23×C3#12614yes—
324C23×C3C22×D411yescharacteristic
325C23×C3C22×D411yescharacteristic
326C23×C3C22×D411yescharacteristic
327C23×C3C22×Q811yescharacteristic
328C23×C3C2×#4111yescharacteristic
329C23×C3C2×#4111yescharacteristic
330C23×C3C2×#4111yescharacteristic
331C23×C3C2×#4112yes—
332C23×C3C2×#4112yes—
333C23×C3H(5,𝔽2)12yes—
334C23×C32−1+412yes—
335C2×C3×C4—22no—
336C2×C3×C4—22no—
337C2×C3×C4—24no—
338C2×C3×C4—24no—
339C2×C3×C4—24no—
340C2×C3×C4—22no—
341C2×C3×C4—22no—
342C2×C3×C4—22no—
343C2×C3×C4—24no—
344C2×C3×C4—24no—
345C2×C3×C4—24no—
346C2×C3×C4—22no—
347C2×C3×C4—24no—
348C2×C3×C4—22no—
349C2×C3×C4—24no—
350C2×C3×C4—24no—
351C2×C3×C4—24no—
352C2×C3×C4—24no—
353C2×C3×C4—24no—
354C2×C3×C4—24no—
355C2×C3×C4—416no—
356C2×C3×C4—416no—
357C2×C3×C4—42no—
358C2×C3×C4—42no—
359C2×C3×C4—42no—
360C2×C3×C4—42no—
361C2×C3×C4—41no—
362C2×C3×C4—41no—
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×C4—42no—
377C2×C3×C4—416no—
378C2×C3×C4—41no—
379C2×C3×C4—41no—
380C2×C3×C4—42no—
381C2×C3×C4—41no—
382C2×C3×C4—41no—
383C2×C3×C4—42no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—42no—
387C2×C3×C4—42no—
388C2×C3×C4—42no—
389C2×C3×C4—42no—
390C2×C3×C4—42no—
391C2×C3×C4—42no—
392C2×C3×C4—42no—
393C2×C3×C4—42no—
394C2×C3×C4—42no—
395C2×C3×C4#12314yes—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24C2×C3×D412yes—
401C24C2×C3×D412yes—
402C24C2×C3×D412yes—
403C24C2×C3×Q812yes—
404C24C3×#4112yes—
405C24C3×#4112yes—
406C24C3×#4112yes—
407C24C24×C311yescharacteristic
408C22×C4—21no—
409C22×C4—21no—
410C22×C4—22no—
411C22×C4—28no—
412C22×C4—28no—
413C22×C4—28no—
414C22×C4—28no—
415C22×C4—28no—
416C22×C4—21no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
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—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—28no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—44no—
465C22×C4—48no—
466C22×C4—48no—
467C22×C4—48no—
468C22×C4—48no—
469C22×C4—44no—
470C22×C4—44no—
471C22×C4—44no—
472C22×C4—44no—
473C22×C4—44no—
474C22×C4—44no—
475C22×C4C2×C3×D412yes—
476C22×C4C2×C3×D414yes—
477C22×C4C2×C3×D412yes—
478C22×C4C2×C3×D412yes—
479C22×C4C2×C3×D412yes—
480C22×C4C2×C3×Q814yes—
481C22×C4C3×#4114yes—
482C22×C4C3×#4114yes—
483C4⋊C4—48no—
484C4⋊C4—48no—
485C4⋊C4—44no—
486C4⋊C4—44no—
487C22⋊C4—28no—
488C22⋊C4—28no—
489C22⋊C4—44no—
490C22⋊C4—44no—
491C22×C3—24no—
492C22×C3—24no—
493C22×C3—24no—
494C22×C3—24no—
495C22×C3—28no—
496C22×C3—28no—
497C22×C3—28no—
498C22×C3—24no—
499C22×C3—28no—
500C22×C3—24no—
501C22×C3#39618yes—
502C22×C3C2×#12111yescharacteristic
503C22×C3C2×#12111yescharacteristic
504C22×C3C2×#12111yescharacteristic
505C22×C3C2×C22⋊Q811yescharacteristic
506C22×C3C2×C22⋊Q811yescharacteristic
507C22×C3C2×C22⋊Q811yescharacteristic
508C22×C3C2×#12311yescharacteristic
509C22×C3#52511yescharacteristic
510C22×C3C2×#12611yescharacteristic
511C22×C3#52912yes—
512C22×C3#53312yes—
513C22×C3#53411yescharacteristic
514C22×C3#53611yescharacteristic
515C22×C3#53912yes—
516C22×C3#54412yes—
517C22×C3#54612yes—
518C22×C3#54612yes—
519C22×C3#54712yes—
520C22×C3#54712yes—
521C22×C3#55112yes—
522C22×C3#55112yes—
523C22×C3#55212yes—
524C22×C3#55212yes—
525C3×C4—24no—
526C3×C4—44no—
527C3×C4—42no—
528C3×C4—44no—
529C3×C4—42no—
530C3×C4—42no—
531C3×C4—44no—
532C3×C4—81no—
533C3×C4—81no—
534C3×C4—82no—
535C23—22no—
536C23—22no—
537C23—24no—
538C23—24no—
539C23—22no—
540C23—22no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23C3×#12114yes—
552C23C3×#12114yes—
553C23C3×#12114yes—
554C23C3×C22⋊Q814yes—
555C23C3×C22⋊Q814yes—
556C23C3×C22⋊Q814yes—
557C23C3×#12614yes—
558C23C22×C3×D411yescharacteristic
559C23C22×C3×D411yescharacteristic
560C23C22×C3×D411yescharacteristic
561C23C22×C3×Q811yescharacteristic
562C23C2×C3×#4111yescharacteristic
563C23C2×C3×#4111yescharacteristic
564C23C2×C3×#4111yescharacteristic
565C23C2×C3×#4112yes—
566C23C2×C3×#4112yes—
567C23C3×H(5,𝔽2)12yes—
568C23C3×2−1+412yes—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4—22no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—416no—
590C2×C4—416no—
591C2×C4—416no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—41no—
601C2×C4—42no—
602C2×C4—41no—
603C2×C4—42no—
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×C4—41no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4C3×#12314yes—
630C2×C3—28no—
631C2×C3C2×#39611yescharacteristic
632C2×C3#241211yescharacteristic
633C2×C3#241311yescharacteristic
634C2×C3#242512yes—
635C2×C3#243812yes—
636C2×C3#243812yes—
637C2×C3#248611yescharacteristic
638C2×C3#249312yes—
639C2×C3#253411yescharacteristic
640C2×C3#262711yescharacteristic
641C2×C3#285511yescharacteristic
642C22—24no—
643C22—24no—
644C22—24no—
645C22—28no—
646C22—28no—
647C22—28no—
648C22—24no—
649C22—28no—
650C22—24no—
651C22—24no—
652C22C3×#39618yes—
653C22C2×C3×#12111yescharacteristic
654C22C2×C3×#12111yescharacteristic
655C22C2×C3×#12111yescharacteristic
656C22C2×C3×C22⋊Q811yescharacteristic
657C22C2×C3×C22⋊Q811yescharacteristic
658C22C2×C3×C22⋊Q811yescharacteristic
659C22C2×C3×#12311yescharacteristic
660C22C3×#52511yescharacteristic
661C22C2×C3×#12611yescharacteristic
662C22C3×#52912yes—
663C22C3×#53312yes—
664C22C3×#53411yescharacteristic
665C22C3×#53611yescharacteristic
666C22C3×#53912yes—
667C22C3×#54412yes—
668C22C3×#54612yes—
669C22C3×#54612yes—
670C22C3×#54712yes—
671C22C3×#54712yes—
672C22C3×#55112yes—
673C22C3×#55112yes—
674C22C3×#55212yes—
675C22C3×#55212yes—
676C4—24no—
677C4—44no—
678C4—42no—
679C4—44no—
680C4—42no—
681C4—44no—
682C4—42no—
683C4—81no—
684C4—81no—
685C4—82no—
686C3#1493511yescharacteristic, direct product factor, Sylow
687C2—28no—
688C2C2×C3×#39611yescharacteristic
689C2C3×#241211yescharacteristic
690C2C3×#241311yescharacteristic
691C2C3×#242512yes—
692C2C3×#243812yes—
693C2C3×#243812yes—
694C2C3×#248611yescharacteristic
695C2C3×#249312yes—
696C2C3×#253411yescharacteristic
697C2C3×#262711yescharacteristic
698C2C3×#285511yescharacteristic
subgroupG/H
center, socleC24×C3C24
commutator, Frattini, cosocleC24C24×C3
prime radicalC25×C3C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C3 ◁ G

Complements

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

NH ≅ G/Ntype
7. C3×#1443C2semidirect
8. C3×#1441C2semidirect
9. C3×#1441C2semidirect
10. C3×#1441C2semidirect
12. #14935C3direct (N × H)
48. #1443C2×C3semidirect
49. #1441C2×C3semidirect
50. #1441C2×C3semidirect
51. #1441C2×C3semidirect
686. C3#14935direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#3852
C2×C3×#3812
C2×C3×#3802
C22×C3×#952
C3×#14432
C3×#14412
C3×C22⋊#952
#149353