Finite Group Databasebeta

← C3×#29490 #10648097

Subgroups — C3×#29490 #10648097

Order 768.

742 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2624C211yesmaximal, characteristic
2C3×#2323C211yesmaximal, characteristic, complemented
3C3×#2075C211yesmaximal, characteristic, complemented
4C3×#2036C211yesmaximal, characteristic, complemented
5C3×#2034C211yesmaximal, characteristic
6C3×#2000C211yesmaximal, characteristic
7C3×#1973C211yesmaximal, characteristic, complemented
8C3×#1943C211yesmaximal, characteristic, complemented
9C3×#1934C211yesmaximal, characteristic, complemented
10C3×#1933C211yesmaximal, characteristic, complemented
11C3×#1925C211yesmaximal, characteristic, complemented
12C3×#1921C211yesmaximal, characteristic, complemented
13C3×#1880C211yesmaximal, characteristic, complemented
14C3×#1865C211yesmaximal, characteristic, complemented
15C3×#1750C211yesmaximal, characteristic, complemented
16#29490C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×SD16C2211yescharacteristic
18C2×C3×C22⋊Q8C2211yescharacteristic
19C2×C3×#121C2211yescharacteristic
20C2×C3×C4×Q8C2211yescharacteristic
21C2×C3×#117C2211yescharacteristic
22C2×C3×#107C2211yescharacteristic
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×C22⋊C8C2211yescharacteristic
32C2×C3×C22⋊C8C2211yescharacteristic
33C2×C3×#97C2211yescharacteristic
34C2×C3×C4×C8C2211yescharacteristic
35C3×#399—21no—
36C3×#397—21no—
37C3×#394—21no—
38C3×#394—21no—
39C3×#391C2211yescharacteristic
40C3×#390C2211yescharacteristic
41C3×#390C2211yescharacteristic
42C3×#389—21no—
43C3×#389C2211yescharacteristic
44C3×#389C2211yescharacteristic
45C3×#389C2211yescharacteristic
46C3×#388—21no—
47C3×#388—21no—
48C3×#387—21no—
49C3×#380C2211yescharacteristic
50C3×#380C2211yescharacteristic
51C3×C4×C4⋊C4C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2624C2×C311yescharacteristic
61#2323C2×C311yescharacteristic, complemented
62#2075C2×C311yescharacteristic, complemented
63#2036C2×C311yescharacteristic, complemented
64#2034C2×C311yescharacteristic
65#2000C2×C311yescharacteristic
66#1973C2×C311yescharacteristic, complemented
67#1943C2×C311yescharacteristic, complemented
68#1934C2×C311yescharacteristic, complemented
69#1933C2×C311yescharacteristic, complemented
70#1925C2×C311yescharacteristic, complemented
71#1921C2×C311yescharacteristic, complemented
72#1880C2×C311yescharacteristic, complemented
73#1865C2×C311yescharacteristic, complemented
74#1750C2×C311yescharacteristic, complemented
75C22×C3×Q8C2311yescharacteristic
76C22×C3×D4—21no—
77C22×C3×D4C2311yescharacteristic
78C23×C3×C4C2311yescharacteristic
79C2×C3×SD16—22no—
80C2×C3×SD16—22no—
81C2×C3×SD16—41no—
82C22×C3×C8C2311yescharacteristic
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C3×C22⋊Q8—22no—
87C3×C22⋊Q8—22no—
88C3×#121—41no—
89C3×#121—41no—
90C3×C4×Q8—41no—
91C3×C4×Q8—41no—
92C3×#117—41no—
93C3×#117—41no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4—21no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4D411yescharacteristic
100C2×C3×C4⋊C4D411yescharacteristic
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⋊C4—21no—
115C2×C3×C22⋊C4D411yescharacteristic
116C2×C3×C22⋊C4D411yescharacteristic
117C2×C3×C42—21no—
118C2×C3×C42—21no—
119C2×C3×C42C2311yescharacteristic
120C2×C3×C42C2311yescharacteristic
121C3×#107—22no—
122C3×#107—22no—
123C3×#106—41no—
124C3×#103—22no—
125C3×#103—22no—
126C3×#103—41no—
127C3×#102—22no—
128C3×#102—22no—
129C3×#102—41no—
130C3×C22⋊C8—22no—
131C3×C22⋊C8—22no—
132C3×#97—41no—
133C3×C4×C8—41no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95—21no—
142C22×SD16C22×C311yescharacteristic
143C2×C22⋊Q8C22×C311yescharacteristic
144C2×#121C22×C311yescharacteristic
145C2×C4×Q8C22×C311yescharacteristic
146C2×#117C22×C311yescharacteristic
147C2×#107C22×C311yescharacteristic
148C2×#107C22×C311yescharacteristic
149C2×#106C22×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
159C2×C4×C8C22×C311yescharacteristic
160#399—21no—
161#397—21no—
162#394—21no—
163#394—21no—
164#391C22×C311yescharacteristic
165#390C22×C311yescharacteristic
166#390C22×C311yescharacteristic
167#389—21no—
168#389C22×C311yescharacteristic
169#389C22×C311yescharacteristic
170#389C22×C311yescharacteristic
171#388—21no—
172#388—21no—
173#387—21no—
174#380C22×C311yescharacteristic
175#380C22×C311yescharacteristic
176C4×C4⋊C4C22×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—81no—
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×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2411yescharacteristic
221C3×SD16—44no—
222C2×C3×C8—21no—
223C2×C3×C8—21no—
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#4112yes—
233C2×C3×C8#4112yes—
234C3×C4⋊C4—24no—
235C3×C4⋊C4—21no—
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—21no—
246C3×C4⋊C4—41no—
247C3×C4⋊C4—41no—
248C3×C4⋊C4—42no—
249C3×C4⋊C4—81no—
250C3×C4⋊C4—81no—
251C3×C4⋊C4—81no—
252C3×C4⋊C4#4112yes—
253C3×C22⋊C4—24no—
254C3×C22⋊C4—41no—
255C3×C22⋊C4—41no—
256C3×C22⋊C4—42no—
257C3×C22⋊C4—81no—
258C3×C22⋊C4—81no—
259C3×C22⋊C4—81no—
260C3×C22⋊C4—81no—
261C3×C22⋊C4—81no—
262C3×C22⋊C4—81no—
263C3×C42—21no—
264C3×C42—21no—
265C3×C42—21no—
266C3×C42—21no—
267C3×C42—42no—
268C3×C42—81no—
269C22×Q8C23×C311yescharacteristic
270C22×D4—21no—
271C22×D4C23×C311yescharacteristic
272C23×C4C23×C311yescharacteristic
273C2×SD16—22no—
274C2×SD16—22no—
275C2×SD16—41no—
276C22×C8C23×C311yescharacteristic
277C22×C8C23×C311yescharacteristic
278C22×C8C23×C311yescharacteristic
279C22×C8C23×C311yescharacteristic
280C22⋊Q8—22no—
281C22⋊Q8—22no—
282#121—41no—
283#121—41no—
284C4×Q8—41no—
285C4×Q8—41no—
286#117—41no—
287#117—41no—
288C2×C4⋊C4—21no—
289C2×C4⋊C4—21no—
290C2×C4⋊C4—21no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—21no—
293C2×C4⋊C4C3×D411yescharacteristic
294C2×C4⋊C4C3×D411yescharacteristic
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⋊C4—21no—
309C2×C22⋊C4C3×D411yescharacteristic
310C2×C22⋊C4C3×D411yescharacteristic
311C2×C42—21no—
312C2×C42—21no—
313C2×C42C23×C311yescharacteristic
314C2×C42C23×C311yescharacteristic
315#107—22no—
316#107—22no—
317#106—41no—
318#103—22no—
319#103—22no—
320#103—41no—
321#102—22no—
322#102—22no—
323#102—41no—
324C22⋊C8—22no—
325C22⋊C8—22no—
326#97—41no—
327C4×C8—41no—
328#95—21no—
329#95—21no—
330#95—21no—
331#95—21no—
332#95—21no—
333#95—21no—
334#95—21no—
335#95—21no—
336C23×C3—21no—
337C23×C3—21no—
338C23×C3—21no—
339C23×C3—21no—
340C23×C3—21no—
341C23×C3—21no—
342C23×C3—21no—
343C23×C3—41no—
344C23×C3—41no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—41no—
348C23×C3—41no—
349C23×C3—41no—
350C23×C3C22×D411yescharacteristic
351C3×Q8—22no—
352C3×Q8—22no—
353C3×Q8—41no—
354C3×Q8—41no—
355C3×D4—41no—
356C3×D4—41no—
357C3×D4—41no—
358C3×D4—41no—
359C3×D4—84no—
360C2×C3×C4—22no—
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—21no—
368C2×C3×C4—21no—
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—41no—
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×C4C2×#4111yescharacteristic
401C2×C3×C4C2×#4111yescharacteristic
402C2×C3×C4C2×#4111yescharacteristic
403C2×C3×C4C2×#4111yescharacteristic
404C2×C3×C4H(5,𝔽2)11yescharacteristic
405C2×C3×C4H(5,𝔽2)11yescharacteristic
406C3×C8—22no—
407C3×C8—22no—
408C3×C8—41no—
409C3×C8—41no—
410C24—21no—
411C24C2×C3×D411yescharacteristic
412C2×Q8—21no—
413C2×Q8—21no—
414C2×Q8—21no—
415C2×Q8—21no—
416C2×Q8—21no—
417C2×Q8C3×#4112yes—
418C2×D4—21no—
419C2×D4—21no—
420C2×D4—21no—
421C2×D4—21no—
422C2×D4—21no—
423C2×D4—21no—
424C2×D4—42no—
425C2×D4—81no—
426C2×D4—81no—
427C22×C4—21no—
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×C4C2×C3×D411yescharacteristic
441C22×C4C2×C3×D411yescharacteristic
442C22×C4C2×C3×D411yescharacteristic
443C22×C4C2×C3×D411yescharacteristic
444C22×C4C2×C3×D411yescharacteristic
445C22×C4C24×C311yescharacteristic
446SD16—44no—
447C2×C8—21no—
448C2×C8—21no—
449C2×C8—21no—
450C2×C8—21no—
451C2×C8—21no—
452C2×C8—21no—
453C2×C8—21no—
454C2×C8—21no—
455C2×C8—21no—
456C2×C8—21no—
457C2×C8C3×#4112yes—
458C2×C8C3×#4112yes—
459C4⋊C4—24no—
460C4⋊C4—21no—
461C4⋊C4—21no—
462C4⋊C4—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—41no—
472C4⋊C4—41no—
473C4⋊C4—42no—
474C4⋊C4—81no—
475C4⋊C4—81no—
476C4⋊C4—81no—
477C4⋊C4C3×#4112yes—
478C22⋊C4—24no—
479C22⋊C4—41no—
480C22⋊C4—41no—
481C22⋊C4—42no—
482C22⋊C4—81no—
483C22⋊C4—81no—
484C22⋊C4—81no—
485C22⋊C4—81no—
486C22⋊C4—81no—
487C22⋊C4—81no—
488C42—21no—
489C42—21no—
490C42—21no—
491C42—21no—
492C42—42no—
493C42—81no—
494C22×C3—41no—
495C22×C3—41no—
496C22×C3—41no—
497C22×C3—41no—
498C22×C3—41no—
499C22×C3—41no—
500C22×C3—41no—
501C22×C3—81no—
502C22×C3—81no—
503C22×C3—81no—
504C22×C3—81no—
505C22×C3—81no—
506C22×C3—81no—
507C22×C3—81no—
508C22×C3#52511yescharacteristic
509C22×C3#53211yescharacteristic
510C22×C3#53411yescharacteristic
511C22×C3#57611yescharacteristic
512C22×C3#57711yescharacteristic
513C22×C3#57711yescharacteristic
514C22×C3#57811yescharacteristic
515C3×C4—41no—
516C3×C4—42no—
517C3×C4—42no—
518C3×C4—41no—
519C3×C4—41no—
520C3×C4—41no—
521C3×C4—41no—
522C3×C4—81no—
523C3×C4—81no—
524C3×C4—81no—
525C3×C4—81no—
526C3×C4—81no—
527C3×C4#55111yescharacteristic
528C3×C4#55311yescharacteristic
529C3×C4#55311yescharacteristic
530C3×C4#55911yescharacteristic
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23C22×C3×D411yescharacteristic
546Q8—22no—
547Q8—22no—
548Q8—41no—
549Q8—41no—
550D4—41no—
551D4—41no—
552D4—41no—
553D4—41no—
554D4—84no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—41no—
573C2×C4—41no—
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×C4C2×C3×#4111yescharacteristic
596C2×C4C2×C3×#4111yescharacteristic
597C2×C4C2×C3×#4111yescharacteristic
598C2×C4C2×C3×#4111yescharacteristic
599C2×C4C3×H(5,𝔽2)11yescharacteristic
600C2×C4C3×H(5,𝔽2)11yescharacteristic
601C8—22no—
602C8—22no—
603C8—41no—
604C8—41no—
605C2×C3—81no—
606C2×C3—161no—
607C2×C3#260211yescharacteristic
608C2×C3#311911yescharacteristic
609C2×C3#312111yescharacteristic
610C2×C3#317811yescharacteristic
611C2×C3#317911yescharacteristic
612C2×C3#320011yescharacteristic
613C2×C3#320311yescharacteristic
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22C3×#52511yescharacteristic
629C22C3×#53211yescharacteristic
630C22C3×#53411yescharacteristic
631C22C3×#57611yescharacteristic
632C22C3×#57711yescharacteristic
633C22C3×#57711yescharacteristic
634C22C3×#57811yescharacteristic
635C4—41no—
636C4—41no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—42no—
641C4—42no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4C3×#55111yescharacteristic
648C4C3×#55311yescharacteristic
649C4C3×#55311yescharacteristic
650C4C3×#55911yescharacteristic
651C3#2949011yescharacteristic, direct product factor, Sylow
652C2—81no—
653C2—161no—
654C2C3×#260211yescharacteristic
655C2C3×#311911yescharacteristic
656C2C3×#312111yescharacteristic
657C2C3×#317811yescharacteristic
658C2C3×#317911yescharacteristic
659C2C3×#320011yescharacteristic
660C2C3×#320311yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C2×C3×#117 ◁ G

Complements

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

NH ≅ G/Ntype
2. C3×#2323C2semidirect
3. C3×#2075C2semidirect
4. C3×#2036C2semidirect
7. C3×#1973C2semidirect
8. C3×#1943C2semidirect
9. C3×#1934C2semidirect
10. C3×#1933C2semidirect
11. C3×#1925C2semidirect
12. C3×#1921C2semidirect
13. C3×#1880C2semidirect
14. C3×#1865C2semidirect
15. C3×#1750C2semidirect
16. #29490C3direct (N × H)
61. #2323C2×C3semidirect
62. #2075C2×C3semidirect
63. #2036C2×C3semidirect
66. #1973C2×C3semidirect
67. #1943C2×C3semidirect
68. #1934C2×C3semidirect
69. #1933C2×C3semidirect
70. #1925C2×C3semidirect
71. #1921C2×C3semidirect
72. #1880C2×C3semidirect
73. #1865C2×C3semidirect
74. #1750C2×C3semidirect
651. C3#29490direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#26242
C3×#23232
C3×#20752
C3×#20362
C3×#20342
C3×#20002
C3×#19732
C3×#19432
C3×#19342
C3×#19332
C3×#19252
C3×#19212
C3×#18802
C3×#18652
C3×#17502
#294903