Finite Group Databasebeta

← C3×#29562 #10648169

Subgroups — C3×#29562 #10648169

Order 768.

806 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×#2861C211yesmaximal, characteristic, complemented
2C3×#2293C211yesmaximal, characteristic, complemented
3C3×#2059C211yesmaximal, characteristic, complemented
4C3×#2042C211yesmaximal, characteristic, complemented
5C3×#2025C211yesmaximal, characteristic, complemented
6C3×#2012C211yesmaximal, characteristic
7C3×#1973C211yesmaximal, characteristic, complemented
8C3×#1972C211yesmaximal, characteristic
9C3×#1936C211yesmaximal, characteristic, complemented
10C3×#1935C211yesmaximal, characteristic, complemented
11C3×#1927C211yesmaximal, characteristic, complemented
12C3×#1925C211yesmaximal, characteristic, complemented
13C3×#1879C211yesmaximal, characteristic
14C3×#1877C211yesmaximal, characteristic, complemented
15C3×#1745C211yesmaximal, characteristic, complemented
16#29562C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×SD16C2211yescharacteristic
18C22×C3×D8C2211yescharacteristic
19C2×C3×#125C2211yescharacteristic
20C2×C3×#124C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C2×C3×#117—21no—
23C2×C3×#107C2211yescharacteristic
24C2×C3×#106C2211yescharacteristic
25C2×C3×#103C2211yescharacteristic
26C2×C3×#103C2211yescharacteristic
27C2×C3×#103C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic
33C2×C3×#97C2211yescharacteristic
34C2×C3×#97C2211yescharacteristic
35C3×#391C2211yescharacteristic
36C3×#391C2211yescharacteristic
37C3×#390C2211yescharacteristic
38C3×#390C2211yescharacteristic
39C3×#390C2211yescharacteristic
40C3×#390C2211yescharacteristic
41C3×#389C2211yescharacteristic
42C3×#389C2211yescharacteristic
43C3×#388—21no—
44C3×#388—21no—
45C3×#388—21no—
46C3×#388—21no—
47C3×#388—21no—
48C3×#388—21no—
49C3×C4×C4⋊C4C2211yescharacteristic
50C3×C4×C22⋊C4—21no—
51C3×C43C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#336C2211yescharacteristic
57C3×#336C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2861C2×C311yescharacteristic, complemented
61#2293C2×C311yescharacteristic, complemented
62#2059C2×C311yescharacteristic, complemented
63#2042C2×C311yescharacteristic, complemented
64#2025C2×C311yescharacteristic, complemented
65#2012C2×C311yescharacteristic
66#1973C2×C311yescharacteristic, complemented
67#1972C2×C311yescharacteristic
68#1936C2×C311yescharacteristic, complemented
69#1935C2×C311yescharacteristic, complemented
70#1927C2×C311yescharacteristic, complemented
71#1925C2×C311yescharacteristic, complemented
72#1879C2×C311yescharacteristic
73#1877C2×C311yescharacteristic, complemented
74#1745C2×C311yescharacteristic, complemented
75C22×C3×Q8C2311yescharacteristic
76C22×C3×D4C2311yescharacteristic
77C22×C3×D4C2311yescharacteristic
78C23×C3×C4—21no—
79C2×C3×SD16—22no—
80C2×C3×SD16—22no—
81C2×C3×SD16—41no—
82C2×C3×D8—22no—
83C2×C3×D8—22no—
84C2×C3×D8—41no—
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C3×#125—41no—
90C3×#125—41no—
91C3×#124—41no—
92C3×#124—41no—
93C3×C4×D4—22no—
94C3×C4×D4—22no—
95C3×#117—44no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C22⋊C4—21no—
106C2×C3×C22⋊C4—21no—
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⋊C4—21no—
115C2×C3×C22⋊C4—21no—
116C2×C3×C42—21no—
117C2×C3×C42D411yescharacteristic
118C2×C3×C42D411yescharacteristic
119C2×C3×C42D411yescharacteristic
120C2×C3×C42D411yescharacteristic
121C2×C3×C42C2311yescharacteristic
122C2×C3×C42C2311yescharacteristic
123C2×C3×C42C2311yescharacteristic
124C3×#107—41no—
125C3×#106—41no—
126C3×#103—22no—
127C3×#103—22no—
128C3×#103—41no—
129C3×#102—22no—
130C3×#102—22no—
131C3×#102—41no—
132C3×#102—41no—
133C3×#102—41no—
134C3×#97—22no—
135C3×#97—22no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95—21no—
142C3×#95—21no—
143C22×SD16C22×C311yescharacteristic
144C22×D8C22×C311yescharacteristic
145C2×#125C22×C311yescharacteristic
146C2×#124C22×C311yescharacteristic
147C2×C4×D4C22×C311yescharacteristic
148C2×#117—21no—
149C2×#107C22×C311yescharacteristic
150C2×#106C22×C311yescharacteristic
151C2×#103C22×C311yescharacteristic
152C2×#103C22×C311yescharacteristic
153C2×#103C22×C311yescharacteristic
154C2×#102C22×C311yescharacteristic
155C2×#102C22×C311yescharacteristic
156C2×#102C22×C311yescharacteristic
157C2×#102C22×C311yescharacteristic
158C2×#102C22×C311yescharacteristic
159C2×#97C22×C311yescharacteristic
160C2×#97C22×C311yescharacteristic
161#391C22×C311yescharacteristic
162#391C22×C311yescharacteristic
163#390C22×C311yescharacteristic
164#390C22×C311yescharacteristic
165#390C22×C311yescharacteristic
166#390C22×C311yescharacteristic
167#389C22×C311yescharacteristic
168#389C22×C311yescharacteristic
169#388—21no—
170#388—21no—
171#388—21no—
172#388—21no—
173#388—21no—
174#388—21no—
175C4×C4⋊C4C22×C311yescharacteristic
176C4×C22⋊C4—21no—
177C43C22×C311yescharacteristic
178#340C22×C311yescharacteristic
179#340C22×C311yescharacteristic
180#340C22×C311yescharacteristic
181#340C22×C311yescharacteristic
182#336C22×C311yescharacteristic
183#336C22×C311yescharacteristic
184#336C22×C311yescharacteristic
185#336C22×C311yescharacteristic
186C24×C3—21no—
187C24×C3—21no—
188C2×C3×Q8—21no—
189C2×C3×Q8—21no—
190C2×C3×Q8—21no—
191C2×C3×Q8—21no—
192C2×C3×Q8—21no—
193C2×C3×Q8—21no—
194C2×C3×D4—21no—
195C2×C3×D4—21no—
196C2×C3×D4—21no—
197C2×C3×D4—21no—
198C2×C3×D4—21no—
199C2×C3×D4—21no—
200C2×C3×D4—21no—
201C2×C3×D4—21no—
202C2×C3×D4—21no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4#4112yes—
206C22×C3×C4—24no—
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—42no—
214C22×C3×C4—42no—
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2411yescharacteristic
222C3×SD16—44no—
223C3×D8—44no—
224C2×C3×C8—21no—
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#4112yes—
235C2×C3×C8#4112yes—
236C3×C4⋊C4—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—42no—
246C3×C4⋊C4—42no—
247C3×C4⋊C4—42no—
248C3×C4⋊C4—42no—
249C3×C4⋊C4#4112yes—
250C3×C22⋊C4—24no—
251C3×C22⋊C4—42no—
252C3×C22⋊C4—42no—
253C3×C22⋊C4—42no—
254C3×C22⋊C4—42no—
255C3×C22⋊C4—42no—
256C3×C22⋊C4—42no—
257C3×C22⋊C4—42no—
258C3×C22⋊C4—42no—
259C3×C22⋊C4—42no—
260C3×C22⋊C4—42no—
261C3×C42—22no—
262C3×C42—21no—
263C3×C42—21no—
264C3×C42—21no—
265C3×C42—21no—
266C3×C42—21no—
267C3×C42—21no—
268C3×C42—41no—
269C3×C42—41no—
270C3×C42—41no—
271C3×C42—42no—
272C22×Q8C23×C311yescharacteristic
273C22×D4C23×C311yescharacteristic
274C22×D4C23×C311yescharacteristic
275C23×C4—21no—
276C2×SD16—22no—
277C2×SD16—22no—
278C2×SD16—41no—
279C2×D8—22no—
280C2×D8—22no—
281C2×D8—41no—
282C22×C8C23×C311yescharacteristic
283C22×C8C23×C311yescharacteristic
284C22×C8C23×C311yescharacteristic
285C22×C8C23×C311yescharacteristic
286#125—41no—
287#125—41no—
288#124—41no—
289#124—41no—
290C4×D4—22no—
291C4×D4—22no—
292#117—44no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—21no—
296C2×C4⋊C4—21no—
297C2×C4⋊C4C23×C311yescharacteristic
298C2×C4⋊C4C23×C311yescharacteristic
299C2×C4⋊C4C23×C311yescharacteristic
300C2×C4⋊C4C23×C311yescharacteristic
301C2×C4⋊C4C23×C311yescharacteristic
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⋊C4—21no—
309C2×C22⋊C4—21no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C42—21no—
314C2×C42C3×D411yescharacteristic
315C2×C42C3×D411yescharacteristic
316C2×C42C3×D411yescharacteristic
317C2×C42C3×D411yescharacteristic
318C2×C42C23×C311yescharacteristic
319C2×C42C23×C311yescharacteristic
320C2×C42C23×C311yescharacteristic
321#107—41no—
322#106—41no—
323#103—22no—
324#103—22no—
325#103—41no—
326#102—22no—
327#102—22no—
328#102—41no—
329#102—41no—
330#102—41no—
331#97—22no—
332#97—22no—
333#95—21no—
334#95—21no—
335#95—21no—
336#95—21no—
337#95—21no—
338#95—21no—
339#95—21no—
340C23×C3—22no—
341C23×C3—41no—
342C23×C3—41no—
343C23×C3—41no—
344C23×C3—41no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—41no—
348C23×C3—41no—
349C23×C3—41no—
350C23×C3—41no—
351C23×C3—41no—
352C23×C3—41no—
353C23×C3—41no—
354C23×C3C22×D411yescharacteristic
355C3×Q8—41no—
356C3×Q8—41no—
357C3×Q8—41no—
358C3×Q8—41no—
359C3×D4—22no—
360C3×D4—22no—
361C3×D4—41no—
362C3×D4—41no—
363C3×D4—41no—
364C3×D4—41no—
365C3×D4—41no—
366C3×D4—41no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
369C2×C3×C4—21no—
370C2×C3×C4—22no—
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—21no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
385C2×C3×C4—48no—
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—41no—
403C2×C3×C4AGL(1,ℤ/8)12yes—
404C2×C3×C4C2×#4111yescharacteristic
405C2×C3×C4C2×#4111yescharacteristic
406C2×C3×C4C2×#4111yescharacteristic
407C2×C3×C4C2×#4111yescharacteristic
408C2×C3×C4H(5,𝔽2)11yescharacteristic
409C2×C3×C4H(5,𝔽2)11yescharacteristic
410C3×C8—22no—
411C3×C8—22no—
412C3×C8—41no—
413C3×C8—41no—
414C24—21no—
415C24—21no—
416C2×Q8—21no—
417C2×Q8—21no—
418C2×Q8—21no—
419C2×Q8—21no—
420C2×Q8—21no—
421C2×Q8—21no—
422C2×D4—21no—
423C2×D4—21no—
424C2×D4—21no—
425C2×D4—21no—
426C2×D4—21no—
427C2×D4—21no—
428C2×D4—21no—
429C2×D4—21no—
430C2×D4—21no—
431C2×D4—21no—
432C2×D4—21no—
433C2×D4C3×#4112yes—
434C22×C4—24no—
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×C4C2×C3×D411yescharacteristic
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—
451D8—44no—
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×C8C3×#4112yes—
463C2×C8C3×#4112yes—
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—21no—
473C4⋊C4—42no—
474C4⋊C4—42no—
475C4⋊C4—42no—
476C4⋊C4—42no—
477C4⋊C4C3×#4112yes—
478C22⋊C4—24no—
479C22⋊C4—42no—
480C22⋊C4—42no—
481C22⋊C4—42no—
482C22⋊C4—42no—
483C22⋊C4—42no—
484C22⋊C4—42no—
485C22⋊C4—42no—
486C22⋊C4—42no—
487C22⋊C4—42no—
488C22⋊C4—42no—
489C42—22no—
490C42—21no—
491C42—21no—
492C42—21no—
493C42—21no—
494C42—21no—
495C42—21no—
496C42—41no—
497C42—41no—
498C42—41no—
499C42—42no—
500C22×C3—42no—
501C22×C3—42no—
502C22×C3—42no—
503C22×C3—81no—
504C22×C3—81no—
505C22×C3—81no—
506C22×C3—81no—
507C22×C3—81no—
508C22×C3—81no—
509C22×C3—81no—
510C22×C3—81no—
511C22×C3—81no—
512C22×C3—81no—
513C22×C3—81no—
514C22×C3#52511yescharacteristic
515C22×C3#53211yescharacteristic
516C22×C3#53511yescharacteristic
517C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
518C22×C3#57511yescharacteristic
519C22×C3#57511yescharacteristic
520C22×C3#57511yescharacteristic
521C3×C4—22no—
522C3×C4—41no—
523C3×C4—42no—
524C3×C4—41no—
525C3×C4—41no—
526C3×C4—41no—
527C3×C4—41no—
528C3×C4—81no—
529C3×C4—81no—
530C3×C4—81no—
531C3×C4—81no—
532C3×C4—81no—
533C3×C4#55111yescharacteristic
534C3×C4#55111yescharacteristic
535C3×C4#55511yescharacteristic
536C3×C4#55511yescharacteristic
537C23—22no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23C22×C3×D411yescharacteristic
552Q8—41no—
553Q8—41no—
554Q8—41no—
555Q8—41no—
556D4—22no—
557D4—22no—
558D4—41no—
559D4—41no—
560D4—41no—
561D4—41no—
562D4—41no—
563D4—41no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—48no—
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×C4C3×AGL(1,ℤ/8)12yes—
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—22no—
608C8—22no—
609C8—41no—
610C8—41no—
611C2×C3—82no—
612C2×C3—161no—
613C2×C3#261011yescharacteristic
614C2×C3#311111yescharacteristic
615C2×C3#311411yescharacteristic
616C2×C3#317111yescharacteristic
617C2×C3#318311yescharacteristic
618C2×C3#321411yescharacteristic
619C2×C3#321911yescharacteristic
620C22—42no—
621C22—42no—
622C22—42no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22C3×#52511yescharacteristic
635C22C3×#53211yescharacteristic
636C22C3×#53511yescharacteristic
637C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
638C22C3×#57511yescharacteristic
639C22C3×#57511yescharacteristic
640C22C3×#57511yescharacteristic
641C4—22no—
642C4—41no—
643C4—41no—
644C4—41no—
645C4—41no—
646C4—41no—
647C4—42no—
648C4—81no—
649C4—81no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4C3×#55111yescharacteristic
654C4C3×#55111yescharacteristic
655C4C3×#55511yescharacteristic
656C4C3×#55511yescharacteristic
657C3#2956211yescharacteristic, direct product factor, Sylow
658C2—82no—
659C2—161no—
660C2C3×#261011yescharacteristic
661C2C3×#311111yescharacteristic
662C2C3×#311411yescharacteristic
663C2C3×#317111yescharacteristic
664C2C3×#318311yescharacteristic
665C2C3×#321411yescharacteristic
666C2C3×#321911yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC22×C3×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×#2861C2semidirect
2. C3×#2293C2semidirect
3. C3×#2059C2semidirect
4. C3×#2042C2semidirect
5. C3×#2025C2semidirect
7. C3×#1973C2semidirect
9. C3×#1936C2semidirect
10. C3×#1935C2semidirect
11. C3×#1927C2semidirect
12. C3×#1925C2semidirect
14. C3×#1877C2semidirect
15. C3×#1745C2semidirect
16. #29562C3direct (N × H)
60. #2861C2×C3semidirect
61. #2293C2×C3semidirect
62. #2059C2×C3semidirect
63. #2042C2×C3semidirect
64. #2025C2×C3semidirect
66. #1973C2×C3semidirect
68. #1936C2×C3semidirect
69. #1935C2×C3semidirect
70. #1927C2×C3semidirect
71. #1925C2×C3semidirect
73. #1877C2×C3semidirect
74. #1745C2×C3semidirect
657. C3#29562direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#28612
C3×#22932
C3×#20592
C3×#20422
C3×#20252
C3×#20122
C3×#19732
C3×#19722
C3×#19362
C3×#19352
C3×#19272
C3×#19252
C3×#18792
C3×#18772
C3×#17452
#295623