Finite Group Databasebeta

← C3×#26742 #10645349

Subgroups — C3×#26742 #10645349

Order 768.

784 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2490C211yesmaximal, characteristic
2C3×#2360C211yesmaximal, characteristic, complemented
3C3×#2055C211yesmaximal, characteristic, complemented
4C3×#2036C211yesmaximal, characteristic, complemented
5C3×#2026C211yesmaximal, characteristic, complemented
6C3×#2000C211yesmaximal, characteristic
7C3×#1989C211yesmaximal, characteristic, complemented
8C3×#1936C211yesmaximal, characteristic, complemented
9C3×#1925C211yesmaximal, characteristic, complemented
10C3×#1924C211yesmaximal, characteristic, complemented
11C3×#1918C211yesmaximal, characteristic, complemented
12C3×#1880C211yesmaximal, characteristic, complemented
13C3×#1874C211yesmaximal, characteristic
14C3×#1824C211yesmaximal, characteristic, complemented
15C3×#1763C211yesmaximal, characteristic, complemented
16#26742C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×SD16C2211yescharacteristic
18C2×C3×#125C2211yescharacteristic
19C2×C3×C22⋊Q8C2211yescharacteristic
20C2×C3×#121C2211yescharacteristic
21C2×C3×C4×Q8C2211yescharacteristic
22C22×C3×C4⋊C4C2211yescharacteristic
23C2×C3×#107C2211yescharacteristic
24C2×C3×C4⋊C8C2211yescharacteristic
25C2×C3×#103C2211yescharacteristic
26C2×C3×#103C2211yescharacteristic
27C2×C3×#103C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×C22⋊C8C2211yescharacteristic
32C2×C3×C22⋊C8C2211yescharacteristic
33C2×C3×#97C2211yescharacteristic
34C3×#397—21no—
35C3×#394—21no—
36C3×#391C2211yescharacteristic
37C3×#390—21no—
38C3×#390C2211yescharacteristic
39C3×#390C2211yescharacteristic
40C3×#389—21no—
41C3×#389C2211yescharacteristic
42C3×#388—21no—
43C3×#387—21no—
44C3×#385—21no—
45C3×#380C2211yescharacteristic
46C3×C4×C4⋊C4C2211yescharacteristic
47C3×C4×C4⋊C4C2211yescharacteristic
48C3×C4×C22⋊C4—21no—
49C3×C4×C22⋊C4C2211yescharacteristic
50C3×#340C2211yescharacteristic
51C3×#340C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2490C2×C311yescharacteristic
61#2360C2×C311yescharacteristic, complemented
62#2055C2×C311yescharacteristic, complemented
63#2036C2×C311yescharacteristic, complemented
64#2026C2×C311yescharacteristic, complemented
65#2000C2×C311yescharacteristic
66#1989C2×C311yescharacteristic, complemented
67#1936C2×C311yescharacteristic, complemented
68#1925C2×C311yescharacteristic, complemented
69#1924C2×C311yescharacteristic, complemented
70#1918C2×C311yescharacteristic, complemented
71#1880C2×C311yescharacteristic, complemented
72#1874C2×C311yescharacteristic
73#1824C2×C311yescharacteristic, complemented
74#1763C2×C311yescharacteristic, complemented
75C22×C3×Q8C2311yescharacteristic
76C22×C3×D4—21no—
77C22×C3×D4C2311yescharacteristic
78C23×C3×C4—21no—
79C23×C3×C4C2311yescharacteristic
80C2×C3×SD16—22no—
81C2×C3×SD16—41no—
82C2×C3×SD16—41no—
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C3×#125—22no—
88C3×#125—41no—
89C3×C22⋊Q8—22no—
90C3×C22⋊Q8—22no—
91C3×#121—22no—
92C3×#121—41no—
93C3×C4×Q8—22no—
94C3×C4×Q8—41no—
95C2×C3×C4⋊C4—21no—
96C2×C3×C4⋊C4—22no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4—41no—
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C4⋊C4C2311yescharacteristic
107C2×C3×C4⋊C4C2311yescharacteristic
108C2×C3×C4⋊C4C2311yescharacteristic
109C2×C3×C22⋊C4—21no—
110C2×C3×C22⋊C4—21no—
111C2×C3×C22⋊C4—21no—
112C2×C3×C22⋊C4—21no—
113C2×C3×C22⋊C4—21no—
114C2×C3×C22⋊C4—21no—
115C2×C3×C22⋊C4—21no—
116C2×C3×C22⋊C4D411yescharacteristic
117C2×C3×C22⋊C4D411yescharacteristic
118C2×C3×C42—21no—
119C2×C3×C42—21no—
120C2×C3×C42—21no—
121C2×C3×C42C2311yescharacteristic
122C2×C3×C42C2311yescharacteristic
123C3×#107—22no—
124C3×C4⋊C8—41no—
125C3×#103—22no—
126C3×#103—22no—
127C3×#103—41no—
128C3×#102—22no—
129C3×#102—22no—
130C3×#102—41no—
131C3×C22⋊C8—41no—
132C3×C22⋊C8—41no—
133C3×#97—41no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95D411yescharacteristic
141C3×#95D411yescharacteristic
142C22×SD16C22×C311yescharacteristic
143C2×#125C22×C311yescharacteristic
144C2×C22⋊Q8C22×C311yescharacteristic
145C2×#121C22×C311yescharacteristic
146C2×C4×Q8C22×C311yescharacteristic
147C22×C4⋊C4C22×C311yescharacteristic
148C2×#107C22×C311yescharacteristic
149C2×C4⋊C8C22×C311yescharacteristic
150C2×#103C22×C311yescharacteristic
151C2×#103C22×C311yescharacteristic
152C2×#103C22×C311yescharacteristic
153C2×#102C22×C311yescharacteristic
154C2×#102C22×C311yescharacteristic
155C2×#102C22×C311yescharacteristic
156C2×C22⋊C8C22×C311yescharacteristic
157C2×C22⋊C8C22×C311yescharacteristic
158C2×#97C22×C311yescharacteristic
159#397—21no—
160#394—21no—
161#391C22×C311yescharacteristic
162#390—21no—
163#390C22×C311yescharacteristic
164#390C22×C311yescharacteristic
165#389—21no—
166#389C22×C311yescharacteristic
167#388—21no—
168#387—21no—
169#385—21no—
170#380C22×C311yescharacteristic
171C4×C4⋊C4C22×C311yescharacteristic
172C4×C4⋊C4C22×C311yescharacteristic
173C4×C22⋊C4—21no—
174C4×C22⋊C4C22×C311yescharacteristic
175#340C22×C311yescharacteristic
176#340C22×C311yescharacteristic
177#340C22×C311yescharacteristic
178#340C22×C311yescharacteristic
179#340C22×C311yescharacteristic
180#340C22×C311yescharacteristic
181#340C22×C311yescharacteristic
182#340C22×C311yescharacteristic
183#336C22×C311yescharacteristic
184#336C22×C311yescharacteristic
185C24×C3—21no—
186C24×C3C2×D411yescharacteristic
187C2×C3×Q8—21no—
188C2×C3×Q8—21no—
189C2×C3×Q8—21no—
190C2×C3×Q8—21no—
191C2×C3×Q8—21no—
192C2×C3×Q8#4112yes—
193C2×C3×D4—21no—
194C2×C3×D4—21no—
195C2×C3×D4—21no—
196C2×C3×D4—21no—
197C2×C3×D4—21no—
198C2×C3×D4—21no—
199C2×C3×D4—42no—
200C2×C3×D4—42no—
201C2×C3×D4—81no—
202C22×C3×C4—21no—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—42no—
216C22×C3×C4—42no—
217C22×C3×C4—81no—
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2411yescharacteristic
224C3×SD16—44no—
225C2×C3×C8—21no—
226C2×C3×C8—21no—
227C2×C3×C8—21no—
228C2×C3×C8—21no—
229C2×C3×C8—21no—
230C2×C3×C8—21no—
231C2×C3×C8—21no—
232C2×C3×C8—21no—
233C2×C3×C8—21no—
234C2×C3×C8—21no—
235C2×C3×C8—21no—
236C2×C3×C8—21no—
237C3×C4⋊C4—24no—
238C3×C4⋊C4—21no—
239C3×C4⋊C4—21no—
240C3×C4⋊C4—21no—
241C3×C4⋊C4—21no—
242C3×C4⋊C4—21no—
243C3×C4⋊C4—21no—
244C3×C4⋊C4—21no—
245C3×C4⋊C4—21no—
246C3×C4⋊C4—21no—
247C3×C4⋊C4—42no—
248C3×C4⋊C4—42no—
249C3×C4⋊C4—42no—
250C3×C4⋊C4—42no—
251C3×C4⋊C4—81no—
252C3×C4⋊C4#4112yes—
253C3×C4⋊C4#4112yes—
254C3×C4⋊C4#4112yes—
255C3×C22⋊C4—24no—
256C3×C22⋊C4—22no—
257C3×C22⋊C4—41no—
258C3×C22⋊C4—42no—
259C3×C22⋊C4—42no—
260C3×C22⋊C4—81no—
261C3×C22⋊C4—81no—
262C3×C22⋊C4—81no—
263C3×C22⋊C4—81no—
264C3×C42—21no—
265C3×C42—21no—
266C3×C42—21no—
267C3×C42—21no—
268C3×C42—42no—
269C3×C42—81no—
270C3×C42—81no—
271C22×Q8C23×C311yescharacteristic
272C22×D4—21no—
273C22×D4C23×C311yescharacteristic
274C23×C4—21no—
275C23×C4C23×C311yescharacteristic
276C2×SD16—22no—
277C2×SD16—41no—
278C2×SD16—41no—
279C22×C8C23×C311yescharacteristic
280C22×C8C23×C311yescharacteristic
281C22×C8C23×C311yescharacteristic
282C22×C8C23×C311yescharacteristic
283#125—22no—
284#125—41no—
285C22⋊Q8—22no—
286C22⋊Q8—22no—
287#121—22no—
288#121—41no—
289C4×Q8—22no—
290C4×Q8—41no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—21no—
296C2×C4⋊C4—21no—
297C2×C4⋊C4—21no—
298C2×C4⋊C4—41no—
299C2×C4⋊C4C23×C311yescharacteristic
300C2×C4⋊C4C23×C311yescharacteristic
301C2×C4⋊C4C23×C311yescharacteristic
302C2×C4⋊C4C23×C311yescharacteristic
303C2×C4⋊C4C23×C311yescharacteristic
304C2×C4⋊C4C23×C311yescharacteristic
305C2×C22⋊C4—21no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C22⋊C4—21no—
309C2×C22⋊C4—21no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4C3×D411yescharacteristic
313C2×C22⋊C4C3×D411yescharacteristic
314C2×C42—21no—
315C2×C42—21no—
316C2×C42—21no—
317C2×C42C23×C311yescharacteristic
318C2×C42C23×C311yescharacteristic
319#107—22no—
320C4⋊C8—41no—
321#103—22no—
322#103—22no—
323#103—41no—
324#102—22no—
325#102—22no—
326#102—41no—
327C22⋊C8—41no—
328C22⋊C8—41no—
329#97—41no—
330#95—21no—
331#95—21no—
332#95—21no—
333#95—21no—
334#95—21no—
335#95—21no—
336#95C3×D411yescharacteristic
337#95C3×D411yescharacteristic
338C23×C3—21no—
339C23×C3—21no—
340C23×C3—21no—
341C23×C3—21no—
342C23×C3—21no—
343C23×C3—21no—
344C23×C3—41no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—41no—
348C23×C3—41no—
349C23×C3—41no—
350C23×C3—41no—
351C23×C3#13712yes—
352C23×C3C22×D411yescharacteristic
353C3×Q8—22no—
354C3×Q8—22no—
355C3×Q8—41no—
356C3×Q8—41no—
357C3×D4—41no—
358C3×D4—41no—
359C3×D4—41no—
360C3×D4—41no—
361C3×D4—84no—
362C2×C3×C4—22no—
363C2×C3×C4—22no—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
369C2×C3×C4—22no—
370C2×C3×C4—21no—
371C2×C3×C4—22no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—41no—
382C2×C3×C4—41no—
383C2×C3×C4—41no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
387C2×C3×C4—41no—
388C2×C3×C4—41no—
389C2×C3×C4—41no—
390C2×C3×C4—41no—
391C2×C3×C4—41no—
392C2×C3×C4—41no—
393C2×C3×C4—41no—
394C2×C3×C4—41no—
395C2×C3×C4—41no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—41no—
399C2×C3×C4—41no—
400C2×C3×C4—41no—
401C2×C3×C4—41no—
402C2×C3×C4—84no—
403C2×C3×C4C2×#4111yescharacteristic
404C2×C3×C4C2×#4111yescharacteristic
405C2×C3×C4C2×#4111yescharacteristic
406C2×C3×C4C2×#4111yescharacteristic
407C2×C3×C4H(5,𝔽2)11yescharacteristic
408C2×C3×C4H(5,𝔽2)11yescharacteristic
409C3×C8—41no—
410C3×C8—41no—
411C3×C8—41no—
412C3×C8—41no—
413C24—21no—
414C24C2×C3×D411yescharacteristic
415C2×Q8—21no—
416C2×Q8—21no—
417C2×Q8—21no—
418C2×Q8—21no—
419C2×Q8—21no—
420C2×Q8C3×#4112yes—
421C2×D4—21no—
422C2×D4—21no—
423C2×D4—21no—
424C2×D4—21no—
425C2×D4—21no—
426C2×D4—21no—
427C2×D4—42no—
428C2×D4—42no—
429C2×D4—81no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—81no—
446C22×C4C2×C3×D411yescharacteristic
447C22×C4C2×C3×D411yescharacteristic
448C22×C4C2×C3×D411yescharacteristic
449C22×C4C2×C3×D411yescharacteristic
450C22×C4C2×C3×D411yescharacteristic
451C22×C4C24×C311yescharacteristic
452SD16—44no—
453C2×C8—21no—
454C2×C8—21no—
455C2×C8—21no—
456C2×C8—21no—
457C2×C8—21no—
458C2×C8—21no—
459C2×C8—21no—
460C2×C8—21no—
461C2×C8—21no—
462C2×C8—21no—
463C2×C8—21no—
464C2×C8—21no—
465C4⋊C4—24no—
466C4⋊C4—21no—
467C4⋊C4—21no—
468C4⋊C4—21no—
469C4⋊C4—21no—
470C4⋊C4—21no—
471C4⋊C4—21no—
472C4⋊C4—21no—
473C4⋊C4—21no—
474C4⋊C4—21no—
475C4⋊C4—42no—
476C4⋊C4—42no—
477C4⋊C4—42no—
478C4⋊C4—42no—
479C4⋊C4—81no—
480C4⋊C4C3×#4112yes—
481C4⋊C4C3×#4112yes—
482C4⋊C4C3×#4112yes—
483C22⋊C4—24no—
484C22⋊C4—22no—
485C22⋊C4—41no—
486C22⋊C4—42no—
487C22⋊C4—42no—
488C22⋊C4—81no—
489C22⋊C4—81no—
490C22⋊C4—81no—
491C22⋊C4—81no—
492C42—21no—
493C42—21no—
494C42—21no—
495C42—21no—
496C42—42no—
497C42—81no—
498C42—81no—
499C22×C3—22no—
500C22×C3—22no—
501C22×C3—22no—
502C22×C3—41no—
503C22×C3—41no—
504C22×C3—41no—
505C22×C3—41no—
506C22×C3—81no—
507C22×C3—81no—
508C22×C3—81no—
509C22×C3—81no—
510C22×C3—81no—
511C22×C3—81no—
512C22×C3—81no—
513C22×C3#52511yescharacteristic
514C22×C3#54611yescharacteristic
515C22×C3#54611yescharacteristic
516C22×C3C2×#13711yescharacteristic
517C22×C3#57511yescharacteristic
518C22×C3#57611yescharacteristic
519C22×C3#57711yescharacteristic
520C3×C4—42no—
521C3×C4—41no—
522C3×C4—42no—
523C3×C4—41no—
524C3×C4—42no—
525C3×C4—41no—
526C3×C4—41no—
527C3×C4—41no—
528C3×C4—42no—
529C3×C4—81no—
530C3×C4—81no—
531C3×C4—81no—
532C3×C4#52911yescharacteristic
533C3×C4#53811yescharacteristic
534C3×C4#55511yescharacteristic
535C3×C4#55911yescharacteristic
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23C3×#13712yes—
550C23C22×C3×D411yescharacteristic
551Q8—22no—
552Q8—22no—
553Q8—41no—
554Q8—41no—
555D4—41no—
556D4—41no—
557D4—41no—
558D4—41no—
559D4—84no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—21no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—84no—
601C2×C4C2×C3×#4111yescharacteristic
602C2×C4C2×C3×#4111yescharacteristic
603C2×C4C2×C3×#4111yescharacteristic
604C2×C4C2×C3×#4111yescharacteristic
605C2×C4C3×H(5,𝔽2)11yescharacteristic
606C2×C4C3×H(5,𝔽2)11yescharacteristic
607C8—41no—
608C8—41no—
609C8—41no—
610C8—41no—
611C2×C3—42no—
612C2×C3—161no—
613C2×C3#245911yescharacteristic
614C2×C3#311711yescharacteristic
615C2×C3#311911yescharacteristic
616C2×C3#331411yescharacteristic
617C2×C3#331711yescharacteristic
618C2×C3#332011yescharacteristic
619C2×C3#332211yescharacteristic
620C22—22no—
621C22—22no—
622C22—22no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22C3×#52511yescharacteristic
635C22C3×#54611yescharacteristic
636C22C3×#54611yescharacteristic
637C22C2×C3×#13711yescharacteristic
638C22C3×#57511yescharacteristic
639C22C3×#57611yescharacteristic
640C22C3×#57711yescharacteristic
641C4—41no—
642C4—42no—
643C4—41no—
644C4—42no—
645C4—41no—
646C4—41no—
647C4—41no—
648C4—42no—
649C4—42no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4C3×#52911yescharacteristic
654C4C3×#53811yescharacteristic
655C4C3×#55511yescharacteristic
656C4C3×#55911yescharacteristic
657C3#2674211yescharacteristic, direct product factor, Sylow
658C2—42no—
659C2—161no—
660C2C3×#245911yescharacteristic
661C2C3×#311711yescharacteristic
662C2C3×#311911yescharacteristic
663C2C3×#331411yescharacteristic
664C2C3×#331711yescharacteristic
665C2C3×#332011yescharacteristic
666C2C3×#332211yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C4×C22⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
2. C3×#2360C2semidirect
3. C3×#2055C2semidirect
4. C3×#2036C2semidirect
5. C3×#2026C2semidirect
7. C3×#1989C2semidirect
8. C3×#1936C2semidirect
9. C3×#1925C2semidirect
10. C3×#1924C2semidirect
11. C3×#1918C2semidirect
12. C3×#1880C2semidirect
14. C3×#1824C2semidirect
15. C3×#1763C2semidirect
16. #26742C3direct (N × H)
61. #2360C2×C3semidirect
62. #2055C2×C3semidirect
63. #2036C2×C3semidirect
64. #2026C2×C3semidirect
66. #1989C2×C3semidirect
67. #1936C2×C3semidirect
68. #1925C2×C3semidirect
69. #1924C2×C3semidirect
70. #1918C2×C3semidirect
71. #1880C2×C3semidirect
73. #1824C2×C3semidirect
74. #1763C2×C3semidirect
657. C3#26742direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#24902
C3×#23602
C3×#20552
C3×#20362
C3×#20262
C3×#20002
C3×#19892
C3×#19362
C3×#19252
C3×#19242
C3×#19182
C3×#18802
C3×#18742
C3×#18242
C3×#17632
#267423