Finite Group Databasebeta

← C3×#26745 #10645352

Subgroups — C3×#26745 #10645352

Order 768.

776 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2489C211yesmaximal, characteristic, complemented
2C3×#2363C211yesmaximal, characteristic
3C3×#2055C211yesmaximal, characteristic, complemented
4C3×#2034C211yesmaximal, characteristic
5C3×#2025C211yesmaximal, characteristic, complemented
6C3×#2000C211yesmaximal, characteristic
7C3×#1989C211yesmaximal, characteristic, complemented
8C3×#1935C211yesmaximal, characteristic, complemented
9C3×#1927C211yesmaximal, characteristic, complemented
10C3×#1924C211yesmaximal, characteristic, complemented
11C3×#1919C211yesmaximal, characteristic, complemented
12C3×#1877C211yesmaximal, characteristic, complemented
13C3×#1873C211yesmaximal, characteristic, complemented
14C3×#1825C211yesmaximal, characteristic, complemented
15C3×#1762C211yesmaximal, characteristic, complemented
16#26745C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×SD16C2211yescharacteristic
18C2×C3×#125C2211yescharacteristic
19C2×C3×C22⋊Q8C2211yescharacteristic
20C2×C3×#121C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C2×C3×#117C2211yescharacteristic
23C2×C3×#106C2211yescharacteristic
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×#400—21no—
35C3×#397—21no—
36C3×#391C2211yescharacteristic
37C3×#391C2211yescharacteristic
38C3×#390—21no—
39C3×#390C2211yescharacteristic
40C3×#389C2211yescharacteristic
41C3×#388—21no—
42C3×#388—21no—
43C3×#386—21no—
44C3×#382—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#2489C2×C311yescharacteristic, complemented
61#2363C2×C311yescharacteristic
62#2055C2×C311yescharacteristic, complemented
63#2034C2×C311yescharacteristic
64#2025C2×C311yescharacteristic, complemented
65#2000C2×C311yescharacteristic
66#1989C2×C311yescharacteristic, complemented
67#1935C2×C311yescharacteristic, complemented
68#1927C2×C311yescharacteristic, complemented
69#1924C2×C311yescharacteristic, complemented
70#1919C2×C311yescharacteristic, complemented
71#1877C2×C311yescharacteristic, complemented
72#1873C2×C311yescharacteristic, complemented
73#1825C2×C311yescharacteristic, complemented
74#1762C2×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—41no—
91C3×#121—22no—
92C3×#121—22no—
93C3×C4×D4—22no—
94C3×C4×D4—41no—
95C3×#117—22no—
96C3×#117—41no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C4⋊C4C2311yescharacteristic
107C2×C3×C22⋊C4—21no—
108C2×C3×C22⋊C4—21no—
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⋊C4D411yescharacteristic
115C2×C3×C22⋊C4D411yescharacteristic
116C2×C3×C42—21no—
117C2×C3×C42—21no—
118C2×C3×C42—21no—
119C2×C3×C42C2311yescharacteristic
120C2×C3×C42C2311yescharacteristic
121C3×#106—22no—
122C3×C4⋊C8—41no—
123C3×#103—22no—
124C3×#103—22no—
125C3×#103—41no—
126C3×#102—22no—
127C3×#102—22no—
128C3×#102—41no—
129C3×C22⋊C8—41no—
130C3×C22⋊C8—41no—
131C3×#97—41no—
132C3×#95—21no—
133C3×#95—21no—
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×D4C22×C311yescharacteristic
147C2×#117C22×C311yescharacteristic
148C2×#106C22×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#400—21no—
160#397—21no—
161#391C22×C311yescharacteristic
162#391C22×C311yescharacteristic
163#390—21no—
164#390C22×C311yescharacteristic
165#389C22×C311yescharacteristic
166#388—21no—
167#388—21no—
168#386—21no—
169#382—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—21no—
193C2×C3×D4—24no—
194C2×C3×D4—21no—
195C2×C3×D4—21no—
196C2×C3×D4—21no—
197C2×C3×D4—21no—
198C2×C3×D4—21no—
199C2×C3×D4—81no—
200C2×C3×D4—81no—
201C2×C3×D4#4112yes—
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—21no—
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—42no—
247C3×C4⋊C4—42no—
248C3×C4⋊C4—42no—
249C3×C4⋊C4—81no—
250C3×C4⋊C4#4112yes—
251C3×C4⋊C4#4112yes—
252C3×C4⋊C4#4112yes—
253C3×C22⋊C4—24no—
254C3×C22⋊C4—41no—
255C3×C22⋊C4—41no—
256C3×C22⋊C4—42no—
257C3×C22⋊C4—42no—
258C3×C22⋊C4—42no—
259C3×C22⋊C4—42no—
260C3×C22⋊C4—42no—
261C3×C22⋊C4—81no—
262C3×C42—21no—
263C3×C42—21no—
264C3×C42—21no—
265C3×C42—21no—
266C3×C42—42no—
267C3×C42—42no—
268C3×C42—81no—
269C22×Q8C23×C311yescharacteristic
270C22×D4—21no—
271C22×D4C23×C311yescharacteristic
272C23×C4—21no—
273C23×C4C23×C311yescharacteristic
274C2×SD16—22no—
275C2×SD16—41no—
276C2×SD16—41no—
277C22×C8C23×C311yescharacteristic
278C22×C8C23×C311yescharacteristic
279C22×C8C23×C311yescharacteristic
280C22×C8C23×C311yescharacteristic
281#125—22no—
282#125—41no—
283C22⋊Q8—22no—
284C22⋊Q8—41no—
285#121—22no—
286#121—22no—
287C4×D4—22no—
288C4×D4—41no—
289#117—22no—
290#117—41no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—21no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4C23×C311yescharacteristic
296C2×C4⋊C4C23×C311yescharacteristic
297C2×C4⋊C4C23×C311yescharacteristic
298C2×C4⋊C4C23×C311yescharacteristic
299C2×C4⋊C4C23×C311yescharacteristic
300C2×C4⋊C4C23×C311yescharacteristic
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C22⋊C4—21no—
305C2×C22⋊C4—21no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C22⋊C4C3×D411yescharacteristic
309C2×C22⋊C4C3×D411yescharacteristic
310C2×C42—21no—
311C2×C42—21no—
312C2×C42—21no—
313C2×C42C23×C311yescharacteristic
314C2×C42C23×C311yescharacteristic
315#106—22no—
316C4⋊C8—41no—
317#103—22no—
318#103—22no—
319#103—41no—
320#102—22no—
321#102—22no—
322#102—41no—
323C22⋊C8—41no—
324C22⋊C8—41no—
325#97—41no—
326#95—21no—
327#95—21no—
328#95—21no—
329#95—21no—
330#95—21no—
331#95—21no—
332#95—21no—
333#95—21no—
334#95C3×D411yescharacteristic
335#95C3×D411yescharacteristic
336C23×C3—22no—
337C23×C3—21no—
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×C3C22×D411yescharacteristic
351C3×Q8—41no—
352C3×Q8—41no—
353C3×Q8—41no—
354C3×Q8—41no—
355C3×D4—22no—
356C3×D4—22no—
357C3×D4—41no—
358C3×D4—41no—
359C3×D4—84no—
360C2×C3×C4—21no—
361C2×C3×C4—22no—
362C2×C3×C4—21no—
363C2×C3×C4—21no—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—22no—
368C2×C3×C4—22no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—21no—
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—41no—
379C2×C3×C4—41no—
380C2×C3×C4—41no—
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—84no—
401C2×C3×C4C2×#4111yescharacteristic
402C2×C3×C4C2×#4111yescharacteristic
403C2×C3×C4C2×#4111yescharacteristic
404C2×C3×C4C2×#4111yescharacteristic
405C2×C3×C4H(5,𝔽2)11yescharacteristic
406C2×C3×C4H(5,𝔽2)11yescharacteristic
407C3×C8—41no—
408C3×C8—41no—
409C3×C8—41no—
410C3×C8—41no—
411C24—21no—
412C24C2×C3×D411yescharacteristic
413C2×Q8—21no—
414C2×Q8—21no—
415C2×Q8—21no—
416C2×Q8—21no—
417C2×Q8—21no—
418C2×Q8—21no—
419C2×D4—24no—
420C2×D4—21no—
421C2×D4—21no—
422C2×D4—21no—
423C2×D4—21no—
424C2×D4—21no—
425C2×D4—81no—
426C2×D4—81no—
427C2×D4C3×#4112yes—
428C22×C4—21no—
429C22×C4—21no—
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—42no—
442C22×C4—42no—
443C22×C4—81no—
444C22×C4C2×C3×D411yescharacteristic
445C22×C4C2×C3×D411yescharacteristic
446C22×C4C2×C3×D411yescharacteristic
447C22×C4C2×C3×D411yescharacteristic
448C22×C4C2×C3×D411yescharacteristic
449C22×C4C24×C311yescharacteristic
450SD16—44no—
451C2×C8—21no—
452C2×C8—21no—
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—
463C4⋊C4—21no—
464C4⋊C4—21no—
465C4⋊C4—21no—
466C4⋊C4—21no—
467C4⋊C4—21no—
468C4⋊C4—21no—
469C4⋊C4—21no—
470C4⋊C4—21no—
471C4⋊C4—21no—
472C4⋊C4—42no—
473C4⋊C4—42no—
474C4⋊C4—42no—
475C4⋊C4—81no—
476C4⋊C4C3×#4112yes—
477C4⋊C4C3×#4112yes—
478C4⋊C4C3×#4112yes—
479C22⋊C4—24no—
480C22⋊C4—41no—
481C22⋊C4—41no—
482C22⋊C4—42no—
483C22⋊C4—42no—
484C22⋊C4—42no—
485C22⋊C4—42no—
486C22⋊C4—42no—
487C22⋊C4—81no—
488C42—21no—
489C42—21no—
490C42—21no—
491C42—21no—
492C42—42no—
493C42—42no—
494C42—81no—
495C22×C3—41no—
496C22×C3—42no—
497C22×C3—41no—
498C22×C3—42no—
499C22×C3—41no—
500C22×C3—42no—
501C22×C3—41no—
502C22×C3—41no—
503C22×C3—41no—
504C22×C3—41no—
505C22×C3—81no—
506C22×C3—81no—
507C22×C3—81no—
508C22×C3—81no—
509C22×C3#52511yescharacteristic
510C22×C3#54611yescharacteristic
511C22×C3#54611yescharacteristic
512C22×C3#57511yescharacteristic
513C22×C3#57511yescharacteristic
514C22×C3#57711yescharacteristic
515C22×C3#57711yescharacteristic
516C3×C4—42no—
517C3×C4—41no—
518C3×C4—41no—
519C3×C4—42no—
520C3×C4—41no—
521C3×C4—41no—
522C3×C4—41no—
523C3×C4—42no—
524C3×C4—81no—
525C3×C4—81no—
526C3×C4—81no—
527C3×C4—81no—
528C3×C4#52911yescharacteristic
529C3×C4#53811yescharacteristic
530C3×C4#55511yescharacteristic
531C3×C4#55911yescharacteristic
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—22no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23C22×C3×D411yescharacteristic
547Q8—41no—
548Q8—41no—
549Q8—41no—
550Q8—41no—
551D4—22no—
552D4—22no—
553D4—41no—
554D4—41no—
555D4—84no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—21no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
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—84no—
597C2×C4C2×C3×#4111yescharacteristic
598C2×C4C2×C3×#4111yescharacteristic
599C2×C4C2×C3×#4111yescharacteristic
600C2×C4C2×C3×#4111yescharacteristic
601C2×C4C3×H(5,𝔽2)11yescharacteristic
602C2×C4C3×H(5,𝔽2)11yescharacteristic
603C8—41no—
604C8—41no—
605C8—41no—
606C8—41no—
607C2×C3—81no—
608C2×C3—82no—
609C2×C3#245911yescharacteristic
610C2×C3#311111yescharacteristic
611C2×C3#312311yescharacteristic
612C2×C3#330711yescharacteristic
613C2×C3#331711yescharacteristic
614C2×C3#332111yescharacteristic
615C2×C3#332311yescharacteristic
616C22—41no—
617C22—42no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—42no—
624C22—41no—
625C22—42no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22C3×#52511yescharacteristic
631C22C3×#54611yescharacteristic
632C22C3×#54611yescharacteristic
633C22C3×#57511yescharacteristic
634C22C3×#57511yescharacteristic
635C22C3×#57711yescharacteristic
636C22C3×#57711yescharacteristic
637C4—41no—
638C4—41no—
639C4—42no—
640C4—41no—
641C4—41no—
642C4—41no—
643C4—42no—
644C4—42no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4C3×#52911yescharacteristic
650C4C3×#53811yescharacteristic
651C4C3×#55511yescharacteristic
652C4C3×#55911yescharacteristic
653C3#2674511yescharacteristic, direct product factor, Sylow
654C2—81no—
655C2—82no—
656C2C3×#245911yescharacteristic
657C2C3×#311111yescharacteristic
658C2C3×#312311yescharacteristic
659C2C3×#330711yescharacteristic
660C2C3×#331711yescharacteristic
661C2C3×#332111yescharacteristic
662C2C3×#332311yescharacteristic
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
1. C3×#2489C2semidirect
3. C3×#2055C2semidirect
5. C3×#2025C2semidirect
7. C3×#1989C2semidirect
8. C3×#1935C2semidirect
9. C3×#1927C2semidirect
10. C3×#1924C2semidirect
11. C3×#1919C2semidirect
12. C3×#1877C2semidirect
13. C3×#1873C2semidirect
14. C3×#1825C2semidirect
15. C3×#1762C2semidirect
16. #26745C3direct (N × H)
60. #2489C2×C3semidirect
62. #2055C2×C3semidirect
64. #2025C2×C3semidirect
66. #1989C2×C3semidirect
67. #1935C2×C3semidirect
68. #1927C2×C3semidirect
69. #1924C2×C3semidirect
70. #1919C2×C3semidirect
71. #1877C2×C3semidirect
72. #1873C2×C3semidirect
73. #1825C2×C3semidirect
74. #1762C2×C3semidirect
653. C3#26745direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#24892
C3×#23632
C3×#20552
C3×#20342
C3×#20252
C3×#20002
C3×#19892
C3×#19352
C3×#19272
C3×#19242
C3×#19192
C3×#18772
C3×#18732
C3×#18252
C3×#17622
#267453