Finite Group Databasebeta

← C3×#27717 #10646324

Subgroups — C3×#27717 #10646324

Order 768.

816 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2501C211yesmaximal, characteristic
2C3×#2442C211yesmaximal, characteristic, complemented
3C3×#2100C211yesmaximal, characteristic, complemented
4C3×#2100C211yesmaximal, characteristic, complemented
5C3×#2073C211yesmaximal, characteristic, complemented
6C3×#2025C211yesmaximal, characteristic, complemented
7C3×#1992C211yesmaximal, characteristic, complemented
8C3×#1936C211yesmaximal, characteristic, complemented
9C3×#1936C211yesmaximal, characteristic, complemented
10C3×#1893C211yesmaximal, characteristic
11C3×#1874C211yesmaximal, characteristic
12C3×#1836C211yesmaximal, characteristic, complemented
13C3×#1823C211yesmaximal, characteristic, complemented
14C3×#1752C211yesmaximal, characteristic, complemented
15C2×C3×#340C211yesmaximal, characteristic, complemented
16#27717C311yesmaximal, characteristic, direct product factor, Sylow
17C23×C3×C8C2211yescharacteristic
18C2×C3×#125C2211yescharacteristic
19C2×C3×#123—21no—
20C2×C3×#123—21no—
21C2×C3×#121C2211yescharacteristic
22C22×C3×C4⋊C4C2211yescharacteristic
23C22×C3×C4⋊C4C2211yescharacteristic
24C2×C3×#102C2211yescharacteristic
25C2×C3×#102C2211yescharacteristic
26C2×C3×#102C2211yescharacteristic
27C2×C3×#102C2211yescharacteristic
28C2×C3×C22⋊C8C2211yescharacteristic
29C2×C3×#97C2211yescharacteristic
30C2×C3×#97C2211yescharacteristic
31C3×#400—21no—
32C3×#399—21no—
33C3×#399—21no—
34C3×#398—21no—
35C3×#390C2211yescharacteristic
36C3×#390C2211yescharacteristic
37C3×#389C2211yescharacteristic
38C3×#389C2211yescharacteristic
39C3×#385—21no—
40C3×#384C2211yescharacteristic
41C3×#384C2211yescharacteristic
42C3×#382C2211yescharacteristic
43C3×#380—21no—
44C3×#380C2211yescharacteristic
45C3×C4×C22⋊C4C2211yescharacteristic
46C3×#340C2211yescharacteristic
47C3×#340C2211yescharacteristic
48C3×#340C2211yescharacteristic
49C3×#340C2211yescharacteristic
50C3×#340C2211yescharacteristic
51C3×#340C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2501C2×C311yescharacteristic
61#2442C2×C311yescharacteristic, complemented
62#2100C2×C311yescharacteristic, complemented
63#2100C2×C311yescharacteristic, complemented
64#2073C2×C311yescharacteristic, complemented
65#2025C2×C311yescharacteristic, complemented
66#1992C2×C311yescharacteristic, complemented
67#1936C2×C311yescharacteristic, complemented
68#1936C2×C311yescharacteristic, complemented
69#1893C2×C311yescharacteristic
70#1874C2×C311yescharacteristic
71#1836C2×C311yescharacteristic, complemented
72#1823C2×C311yescharacteristic, complemented
73#1752C2×C311yescharacteristic, complemented
74C2×#340C2×C311yescharacteristic, complemented
75C22×C3×D4—21no—
76C22×C3×D4C2311yescharacteristic
77C23×C3×C4—21no—
78C23×C3×C4—21no—
79C23×C3×C4C2311yescharacteristic
80C22×C3×C8—22no—
81C22×C3×C8—22no—
82C22×C3×C8—41no—
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C3×#125—22no—
88C3×#125—41no—
89C3×#123—44no—
90C3×#123—44no—
91C3×#121—22no—
92C3×#121—22no—
93C2×C3×C4⋊C4—22no—
94C2×C3×C4⋊C4—22no—
95C2×C3×C4⋊C4—22no—
96C2×C3×C4⋊C4—21no—
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—21no—
103C2×C3×C4⋊C4—21no—
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4—41no—
107C2×C3×C4⋊C4C2311yescharacteristic
108C2×C3×C4⋊C4C2311yescharacteristic
109C2×C3×C4⋊C4C2311yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C4⋊C4C2311yescharacteristic
112C2×C3×C4⋊C4C2311yescharacteristic
113C2×C3×C4⋊C4C2311yescharacteristic
114C2×C3×C22⋊C4—21no—
115C2×C3×C22⋊C4—21no—
116C2×C3×C22⋊C4—21no—
117C2×C3×C22⋊C4—21no—
118C2×C3×C22⋊C4—21no—
119C2×C3×C22⋊C4—21no—
120C2×C3×C22⋊C4D411yescharacteristic
121C2×C3×C22⋊C4D411yescharacteristic
122C2×C3×C42C2311yescharacteristic
123C2×C3×C42C2311yescharacteristic
124C3×#102—22no—
125C3×#102—22no—
126C3×#102—41no—
127C3×#102—41no—
128C3×C22⋊C8—22no—
129C3×#97—22no—
130C3×#97—41no—
131C3×#95—21no—
132C3×#95—21no—
133C3×#95—21no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95D411yescharacteristic
137C3×#95D411yescharacteristic
138C23×C8C22×C311yescharacteristic
139C2×#125C22×C311yescharacteristic
140C2×#123—21no—
141C2×#123—21no—
142C2×#121C22×C311yescharacteristic
143C22×C4⋊C4C22×C311yescharacteristic
144C22×C4⋊C4C22×C311yescharacteristic
145C2×#102C22×C311yescharacteristic
146C2×#102C22×C311yescharacteristic
147C2×#102C22×C311yescharacteristic
148C2×#102C22×C311yescharacteristic
149C2×C22⋊C8C22×C311yescharacteristic
150C2×#97C22×C311yescharacteristic
151C2×#97C22×C311yescharacteristic
152#400—21no—
153#399—21no—
154#399—21no—
155#398—21no—
156#390C22×C311yescharacteristic
157#390C22×C311yescharacteristic
158#389C22×C311yescharacteristic
159#389C22×C311yescharacteristic
160#385—21no—
161#384C22×C311yescharacteristic
162#384C22×C311yescharacteristic
163#382C22×C311yescharacteristic
164#380—21no—
165#380C22×C311yescharacteristic
166C4×C22⋊C4C22×C311yescharacteristic
167#340C22×C311yescharacteristic
168#340C22×C311yescharacteristic
169#340C22×C311yescharacteristic
170#340C22×C311yescharacteristic
171#340C22×C311yescharacteristic
172#340C22×C311yescharacteristic
173#340C22×C311yescharacteristic
174#340C22×C311yescharacteristic
175#340C22×C311yescharacteristic
176#340C22×C311yescharacteristic
177#340C22×C311yescharacteristic
178#340C22×C311yescharacteristic
179#336C22×C311yescharacteristic
180#336C22×C311yescharacteristic
181C24×C3—21no—
182C24×C3C2×D411yescharacteristic
183C2×C3×D4—21no—
184C2×C3×D4—21no—
185C2×C3×D4—21no—
186C2×C3×D4—21no—
187C2×C3×D4—21no—
188C2×C3×D4—21no—
189C2×C3×D4—42no—
190C2×C3×D4—42no—
191C2×C3×D4—42no—
192C22×C3×C4—21no—
193C22×C3×C4—21no—
194C22×C3×C4—21no—
195C22×C3×C4—21no—
196C22×C3×C4—21no—
197C22×C3×C4—21no—
198C22×C3×C4—21no—
199C22×C3×C4—21no—
200C22×C3×C4—21no—
201C22×C3×C4—21no—
202C22×C3×C4—21no—
203C22×C3×C4—42no—
204C22×C3×C4—42no—
205C22×C3×C4—42no—
206C22×C3×C4—42no—
207C22×C3×C4—42no—
208C22×C3×C4—81no—
209C22×C3×C4C2×D411yescharacteristic
210C22×C3×C4C2×D411yescharacteristic
211C22×C3×C4C2×D411yescharacteristic
212C22×C3×C4C2×D411yescharacteristic
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4#4112yes—
215C22×C3×C4#4112yes—
216C22×C3×C4C2411yescharacteristic
217C2×C3×C8—21no—
218C2×C3×C8—21no—
219C2×C3×C8—21no—
220C2×C3×C8—21no—
221C2×C3×C8—21no—
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—44no—
229C2×C3×C8#4112yes—
230C3×C4⋊C4—21no—
231C3×C4⋊C4—21no—
232C3×C4⋊C4—21no—
233C3×C4⋊C4—21no—
234C3×C4⋊C4—21no—
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—42no—
244C3×C4⋊C4—42no—
245C3×C4⋊C4—42no—
246C3×C4⋊C4—42no—
247C3×C4⋊C4—42no—
248C3×C4⋊C4—42no—
249C3×C4⋊C4—42no—
250C3×C4⋊C4—42no—
251C3×C4⋊C4—81no—
252C3×C4⋊C4—81no—
253C3×C4⋊C4#4112yes—
254C3×C22⋊C4—22no—
255C3×C22⋊C4—22no—
256C3×C22⋊C4—42no—
257C3×C22⋊C4—42no—
258C3×C22⋊C4—42no—
259C3×C22⋊C4—42no—
260C3×C22⋊C4—42no—
261C3×C22⋊C4—42no—
262C3×C42—21no—
263C3×C42—21no—
264C3×C42—21no—
265C3×C42—21no—
266C22×D4—21no—
267C22×D4C23×C311yescharacteristic
268C23×C4—21no—
269C23×C4—21no—
270C23×C4C23×C311yescharacteristic
271C22×C8—22no—
272C22×C8—22no—
273C22×C8—41no—
274C22×C8C23×C311yescharacteristic
275C22×C8C23×C311yescharacteristic
276C22×C8C23×C311yescharacteristic
277C22×C8C23×C311yescharacteristic
278#125—22no—
279#125—41no—
280#123—44no—
281#123—44no—
282#121—22no—
283#121—22no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—21no—
288C2×C4⋊C4—21no—
289C2×C4⋊C4—21no—
290C2×C4⋊C4—21no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—21no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—21no—
296C2×C4⋊C4—21no—
297C2×C4⋊C4—41no—
298C2×C4⋊C4C23×C311yescharacteristic
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⋊C4C3×D411yescharacteristic
312C2×C22⋊C4C3×D411yescharacteristic
313C2×C42C23×C311yescharacteristic
314C2×C42C23×C311yescharacteristic
315#102—22no—
316#102—22no—
317#102—41no—
318#102—41no—
319C22⋊C8—22no—
320#97—22no—
321#97—41no—
322#95—21no—
323#95—21no—
324#95—21no—
325#95—21no—
326#95—21no—
327#95C3×D411yescharacteristic
328#95C3×D411yescharacteristic
329C23×C3—21no—
330C23×C3—21no—
331C23×C3—21no—
332C23×C3—21no—
333C23×C3—41no—
334C23×C3—41no—
335C23×C3—41no—
336C23×C3—41no—
337C23×C3—41no—
338C23×C3—41no—
339C23×C3—41no—
340C23×C3#12412yes—
341C23×C3AGL(1,ℤ/8)12yes—
342C23×C3AGL(1,ℤ/8)12yes—
343C23×C3C22×D411yescharacteristic
344C3×D4—41no—
345C3×D4—41no—
346C3×D4—41no—
347C3×D4—41no—
348C3×D4—84no—
349C2×C3×C4—21no—
350C2×C3×C4—21no—
351C2×C3×C4—22no—
352C2×C3×C4—22no—
353C2×C3×C4—22no—
354C2×C3×C4—22no—
355C2×C3×C4—21no—
356C2×C3×C4—21no—
357C2×C3×C4—22no—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
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—41no—
369C2×C3×C4—41no—
370C2×C3×C4—41no—
371C2×C3×C4—41no—
372C2×C3×C4—41no—
373C2×C3×C4—41no—
374C2×C3×C4—41no—
375C2×C3×C4—41no—
376C2×C3×C4—41no—
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—84no—
389C2×C3×C4—84no—
390C2×C3×C4#12412yes—
391C2×C3×C4C2×#4111yescharacteristic
392C2×C3×C4C2×#4111yescharacteristic
393C2×C3×C4C2×#4111yescharacteristic
394C2×C3×C4C2×#4111yescharacteristic
395C2×C3×C4H(5,𝔽2)11yescharacteristic
396C2×C3×C42−1+411yescharacteristic
397C3×C8—22no—
398C3×C8—41no—
399C3×C8—41no—
400C3×C8—41no—
401C24—21no—
402C24C2×C3×D411yescharacteristic
403C2×D4—21no—
404C2×D4—21no—
405C2×D4—21no—
406C2×D4—21no—
407C2×D4—21no—
408C2×D4—21no—
409C2×D4—42no—
410C2×D4—42no—
411C2×D4—42no—
412C22×C4—21no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—42no—
424C22×C4—42no—
425C22×C4—42no—
426C22×C4—42no—
427C22×C4—42no—
428C22×C4—81no—
429C22×C4C2×C3×D411yescharacteristic
430C22×C4C2×C3×D411yescharacteristic
431C22×C4C2×C3×D411yescharacteristic
432C22×C4C2×C3×D411yescharacteristic
433C22×C4C2×C3×D411yescharacteristic
434C22×C4C3×#4112yes—
435C22×C4C3×#4112yes—
436C22×C4C24×C311yescharacteristic
437C2×C8—21no—
438C2×C8—21no—
439C2×C8—21no—
440C2×C8—21no—
441C2×C8—21no—
442C2×C8—21no—
443C2×C8—21no—
444C2×C8—21no—
445C2×C8—21no—
446C2×C8—21no—
447C2×C8—21no—
448C2×C8—44no—
449C2×C8C3×#4112yes—
450C4⋊C4—21no—
451C4⋊C4—21no—
452C4⋊C4—21no—
453C4⋊C4—21no—
454C4⋊C4—21no—
455C4⋊C4—21no—
456C4⋊C4—21no—
457C4⋊C4—21no—
458C4⋊C4—21no—
459C4⋊C4—21no—
460C4⋊C4—21no—
461C4⋊C4—21no—
462C4⋊C4—21no—
463C4⋊C4—42no—
464C4⋊C4—42no—
465C4⋊C4—42no—
466C4⋊C4—42no—
467C4⋊C4—42no—
468C4⋊C4—42no—
469C4⋊C4—42no—
470C4⋊C4—42no—
471C4⋊C4—81no—
472C4⋊C4—81no—
473C4⋊C4C3×#4112yes—
474C22⋊C4—22no—
475C22⋊C4—22no—
476C22⋊C4—42no—
477C22⋊C4—42no—
478C22⋊C4—42no—
479C22⋊C4—42no—
480C22⋊C4—42no—
481C22⋊C4—42no—
482C42—21no—
483C42—21no—
484C42—21no—
485C42—21no—
486C22×C3—22no—
487C22×C3—22no—
488C22×C3—22no—
489C22×C3—22no—
490C22×C3—22no—
491C22×C3—22no—
492C22×C3—81no—
493C22×C3—81no—
494C22×C3—81no—
495C22×C3—81no—
496C22×C3—81no—
497C22×C3—81no—
498C22×C3—81no—
499C22×C3#49014yes—
500C22×C3C2×#12411yescharacteristic
501C22×C3#54611yescharacteristic
502C22×C3#54711yescharacteristic
503C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
504C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
505C22×C3#57711yescharacteristic
506C22×C3#57811yescharacteristic
507C3×C4—22no—
508C3×C4—41no—
509C3×C4—41no—
510C3×C4—41no—
511C3×C4—42no—
512C3×C4—41no—
513C3×C4—81no—
514C3×C4—81no—
515C3×C4—81no—
516C3×C4—81no—
517C3×C4—81no—
518C3×C4—81no—
519C3×C4#52911yescharacteristic
520C3×C4#53911yescharacteristic
521C3×C4#55111yescharacteristic
522C3×C4#55211yescharacteristic
523C23—21no—
524C23—21no—
525C23—21no—
526C23—21no—
527C23—41no—
528C23—41no—
529C23—41no—
530C23—41no—
531C23—41no—
532C23—41no—
533C23—41no—
534C23C3×#12412yes—
535C23C3×AGL(1,ℤ/8)12yes—
536C23C3×AGL(1,ℤ/8)12yes—
537C23C22×C3×D411yescharacteristic
538D4—41no—
539D4—41no—
540D4—41no—
541D4—41no—
542D4—84no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—22no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
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—84no—
583C2×C4—84no—
584C2×C4C3×#12412yes—
585C2×C4C2×C3×#4111yescharacteristic
586C2×C4C2×C3×#4111yescharacteristic
587C2×C4C2×C3×#4111yescharacteristic
588C2×C4C2×C3×#4111yescharacteristic
589C2×C4C3×H(5,𝔽2)11yescharacteristic
590C2×C4C3×2−1+411yescharacteristic
591C8—22no—
592C8—41no—
593C8—41no—
594C8—41no—
595C2×C3—24no—
596C2×C3—161no—
597C2×C3#248811yescharacteristic
598C2×C3C2×#49011yescharacteristic
599C2×C3#313711yescharacteristic
600C2×C3#330611yescharacteristic
601C2×C3#330811yescharacteristic
602C2×C3#334311yescharacteristic
603C2×C3#334511yescharacteristic
604C22—22no—
605C22—22no—
606C22—22no—
607C22—22no—
608C22—22no—
609C22—22no—
610C22—81no—
611C22—81no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22C3×#49014yes—
618C22C2×C3×#12411yescharacteristic
619C22C3×#54611yescharacteristic
620C22C3×#54711yescharacteristic
621C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
622C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
623C22C3×#57711yescharacteristic
624C22C3×#57811yescharacteristic
625C4—22no—
626C4—41no—
627C4—42no—
628C4—41no—
629C4—41no—
630C4—41no—
631C4—81no—
632C4—81no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4C3×#52911yescharacteristic
638C4C3×#53911yescharacteristic
639C4C3×#55111yescharacteristic
640C4C3×#55211yescharacteristic
641C3#2771711yescharacteristic, direct product factor, Sylow
642C2—24no—
643C2—161no—
644C2C3×#248811yescharacteristic
645C2C2×C3×#49011yescharacteristic
646C2C3×#313711yescharacteristic
647C2C3×#330611yescharacteristic
648C2C3×#330811yescharacteristic
649C2C3×#334311yescharacteristic
650C2C3×#334511yescharacteristic
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×#2442C2semidirect
3. C3×#2100C2semidirect
4. C3×#2100C2semidirect
5. C3×#2073C2semidirect
6. C3×#2025C2semidirect
7. C3×#1992C2semidirect
8. C3×#1936C2semidirect
9. C3×#1936C2semidirect
12. C3×#1836C2semidirect
13. C3×#1823C2semidirect
14. C3×#1752C2semidirect
15. C2×C3×#340C2semidirect
16. #27717C3direct (N × H)
61. #2442C2×C3semidirect
62. #2100C2×C3semidirect
63. #2100C2×C3semidirect
64. #2073C2×C3semidirect
65. #2025C2×C3semidirect
66. #1992C2×C3semidirect
67. #1936C2×C3semidirect
68. #1936C2×C3semidirect
71. #1836C2×C3semidirect
72. #1823C2×C3semidirect
73. #1752C2×C3semidirect
74. C2×#340C2×C3semidirect
641. C3#27717direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#25012
C3×#24422
C3×#21002
C3×#20732
C3×#20252
C3×#19922
C3×#19362
C3×#18932
C3×#18742
C3×#18362
C3×#18232
C3×#17522
C2×C3×#3402
#277173