Finite Group Databasebeta

← C3×#27655 #10646262

Subgroups — C3×#27655 #10646262

Order 768.

828 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#482C211yesmaximal, characteristic
2C2×C3×#480C211yesmaximal, characteristic
3C3×#2324C211yesmaximal, characteristic
4C3×#2317C211yesmaximal, characteristic, complemented
5C3×#2085C211yesmaximal, characteristic, complemented
6C3×#2083C211yesmaximal, characteristic, complemented
7C3×#2073C211yesmaximal, characteristic, complemented
8C3×#2071C211yesmaximal, characteristic, complemented
9C3×#1949C211yesmaximal, characteristic, complemented
10C3×#1947C211yesmaximal, characteristic, complemented
11C3×#1825C211yesmaximal, characteristic, complemented
12C3×#1824C211yesmaximal, characteristic, complemented
13C3×#1804C211yesmaximal, characteristic, complemented
14C3×#1802C211yesmaximal, characteristic, complemented
15C3×#1798C211yesmaximal, characteristic, complemented
16#27655C311yesmaximal, characteristic, direct product factor, Sylow
17C2×C3×#121C2211yescharacteristic
18C2×C3×C4×D4C2211yescharacteristic
19C2×C3×#117C2211yescharacteristic
20C2×C3×#117C2211yescharacteristic
21C22×C3×C4⋊C4C2211yescharacteristic
22C3×#482—24no—
23C3×#480—24no—
24C2×C3×#107C2211yescharacteristic
25C2×C3×#107C2211yescharacteristic
26C2×C3×#107C2211yescharacteristic
27C2×C3×#106C2211yescharacteristic
28C2×C3×C4⋊C8C2211yescharacteristic
29C2×C3×C4⋊C8C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic
33C2×C3×#102C2211yescharacteristic
34C2×C3×C22⋊C8C2211yescharacteristic
35C2×C3×C22⋊C8C2211yescharacteristic
36C3×#390—21no—
37C3×#390C2211yescharacteristic
38C3×#389—21no—
39C3×#389—21no—
40C3×#389C2211yescharacteristic
41C3×#388—21no—
42C3×#386—21no—
43C3×#385—21no—
44C3×#385—21no—
45C3×#385—21no—
46C3×#384C2211yescharacteristic
47C3×#384C2211yescharacteristic
48C3×#382C2211yescharacteristic
49C3×#382C2211yescharacteristic
50C3×#380C2211yescharacteristic
51C3×C4×C4⋊C4C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#482C2×C311yescharacteristic
63C2×#480C2×C311yescharacteristic
64#2324C2×C311yescharacteristic
65#2317C2×C311yescharacteristic, complemented
66#2085C2×C311yescharacteristic, complemented
67#2083C2×C311yescharacteristic, complemented
68#2073C2×C311yescharacteristic, complemented
69#2071C2×C311yescharacteristic, complemented
70#1949C2×C311yescharacteristic, complemented
71#1947C2×C311yescharacteristic, complemented
72#1825C2×C311yescharacteristic, complemented
73#1824C2×C311yescharacteristic, complemented
74#1804C2×C311yescharacteristic, complemented
75#1802C2×C311yescharacteristic, complemented
76#1798C2×C311yescharacteristic, complemented
77C22×C3×D4—21no—
78C22×C3×D4C2311yescharacteristic
79C23×C3×C4—21no—
80C23×C3×C4—21no—
81C23×C3×C4C2311yescharacteristic
82C22×C3×C8C2311yescharacteristic
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C3×#121—22no—
87C3×#121D414yes—
88C3×C4×D4—22no—
89C3×C4×D4—22no—
90C3×#117—22no—
91C3×#117—22no—
92C3×#117—22no—
93C3×#117—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⋊C4D411yescharacteristic
103C2×C3×C4⋊C4D411yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C4⋊C4C2311yescharacteristic
107C2×C3×C4⋊C4C2311yescharacteristic
108C2×C3×C4⋊C4C2311yescharacteristic
109C2×C3×C4⋊C4C2311yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
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⋊C4—21no—
117C2×C3×C22⋊C4D411yescharacteristic
118C2×C3×C22⋊C4D411yescharacteristic
119C2×C3×C42—21no—
120C2×C3×C42—21no—
121C2×C3×C42C2311yescharacteristic
122C2×C3×C42C2311yescharacteristic
123C3×#107—22no—
124C3×#107—22no—
125C3×#107—22no—
126C3×#106—22no—
127C3×C4⋊C8—22no—
128C3×C4⋊C8—22no—
129C3×#102—22no—
130C3×#102—22no—
131C3×#102—22no—
132C3×#102—22no—
133C3×C22⋊C8—22no—
134C3×C22⋊C8—22no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95—21no—
142C2×#121C22×C311yescharacteristic
143C2×C4×D4C22×C311yescharacteristic
144C2×#117C22×C311yescharacteristic
145C2×#117C22×C311yescharacteristic
146C22×C4⋊C4C22×C311yescharacteristic
147#482—24no—
148#480—24no—
149C2×#107C22×C311yescharacteristic
150C2×#107C22×C311yescharacteristic
151C2×#107C22×C311yescharacteristic
152C2×#106C22×C311yescharacteristic
153C2×C4⋊C8C22×C311yescharacteristic
154C2×C4⋊C8C22×C311yescharacteristic
155C2×#102C22×C311yescharacteristic
156C2×#102C22×C311yescharacteristic
157C2×#102C22×C311yescharacteristic
158C2×#102C22×C311yescharacteristic
159C2×C22⋊C8C22×C311yescharacteristic
160C2×C22⋊C8C22×C311yescharacteristic
161#390—21no—
162#390C22×C311yescharacteristic
163#389—21no—
164#389—21no—
165#389C22×C311yescharacteristic
166#388—21no—
167#386—21no—
168#385—21no—
169#385—21no—
170#385—21no—
171#384C22×C311yescharacteristic
172#384C22×C311yescharacteristic
173#382C22×C311yescharacteristic
174#382C22×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#340C22×C311yescharacteristic
184#340C22×C311yescharacteristic
185#336C22×C311yescharacteristic
186#336C22×C311yescharacteristic
187C24×C3—21no—
188C24×C3C2×D411yescharacteristic
189C2×C3×D4—24no—
190C2×C3×D4—21no—
191C2×C3×D4—21no—
192C2×C3×D4—21no—
193C2×C3×D4—21no—
194C2×C3×D4—21no—
195C2×C3×D4—81no—
196C2×C3×D4—81no—
197C2×C3×D4C2×D412yes—
198C22×C3×C4—21no—
199C22×C3×C4—21no—
200C22×C3×C4—21no—
201C22×C3×C4—21no—
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—42no—
210C22×C3×C4—42no—
211C22×C3×C4—81no—
212C22×C3×C4—81no—
213C22×C3×C4—81no—
214C22×C3×C4—81no—
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2×D412yes—
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4#4112yes—
222C22×C3×C4C2411yescharacteristic
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—21no—
233C2×C3×C8—21no—
234C2×C3×C8—21no—
235C3×C4⋊C4—22no—
236C3×C4⋊C4—22no—
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—21no—
247C3×C4⋊C4—21no—
248C3×C4⋊C4—21no—
249C3×C4⋊C4—21no—
250C3×C4⋊C4—42no—
251C3×C4⋊C4—81no—
252C3×C4⋊C4—81no—
253C3×C4⋊C4—81no—
254C3×C4⋊C4—81no—
255C3×C4⋊C4—81no—
256C3×C4⋊C4C2×D412yes—
257C3×C22⋊C4—24no—
258C3×C22⋊C4—22no—
259C3×C22⋊C4—22no—
260C3×C22⋊C4—42no—
261C3×C22⋊C4—42no—
262C3×C22⋊C4—81no—
263C3×C22⋊C4—81no—
264C3×C22⋊C4—81no—
265C3×C42—21no—
266C3×C42—21no—
267C3×C42—42no—
268C3×C42—81no—
269C3×C42#4112yes—
270C3×C42#4112yes—
271C22×D4—21no—
272C22×D4C23×C311yescharacteristic
273C23×C4—21no—
274C23×C4—21no—
275C23×C4C23×C311yescharacteristic
276C22×C8C23×C311yescharacteristic
277C22×C8C23×C311yescharacteristic
278C22×C8C23×C311yescharacteristic
279C22×C8C23×C311yescharacteristic
280#121—22no—
281#121C3×D414yes—
282C4×D4—22no—
283C4×D4—22no—
284#117—22no—
285#117—22no—
286#117—22no—
287#117—22no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—22no—
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⋊C4C3×D411yescharacteristic
297C2×C4⋊C4C3×D411yescharacteristic
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×C42—21no—
314C2×C42—21no—
315C2×C42C23×C311yescharacteristic
316C2×C42C23×C311yescharacteristic
317#107—22no—
318#107—22no—
319#107—22no—
320#106—22no—
321C4⋊C8—22no—
322C4⋊C8—22no—
323#102—22no—
324#102—22no—
325#102—22no—
326#102—22no—
327C22⋊C8—22no—
328C22⋊C8—22no—
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—22no—
343C23×C3—41no—
344C23×C3—41no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—41no—
348C23×C3—41no—
349C23×C3#12112yes—
350C23×C3C22×D411yescharacteristic
351C3×D4—22no—
352C3×D4—22no—
353C3×D4—41no—
354C3×D4—41no—
355C3×D4—84no—
356C2×C3×C4—21no—
357C2×C3×C4—21no—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—22no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—22no—
366C2×C3×C4—22no—
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—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—41no—
389C2×C3×C4—41no—
390C2×C3×C4—41no—
391C2×C3×C4—41no—
392C2×C3×C4—41no—
393C2×C3×C4—84no—
394C2×C3×C4—84no—
395C2×C3×C4#12112yes—
396C2×C3×C4#12312yes—
397C2×C3×C4#12312yes—
398C2×C3×C4C22×D411yescharacteristic
399C2×C3×C4C2×#4111yescharacteristic
400C2×C3×C4C2×#4111yescharacteristic
401C2×C3×C4C2×#4111yescharacteristic
402C2×C3×C42−1+411yescharacteristic
403C2×C3×C42−1+411yescharacteristic
404C3×C8—41no—
405C3×C8—41no—
406C3×C8—41no—
407C3×C8—41no—
408C24—21no—
409C24C2×C3×D411yescharacteristic
410C2×D4—24no—
411C2×D4—21no—
412C2×D4—21no—
413C2×D4—21no—
414C2×D4—21no—
415C2×D4—21no—
416C2×D4—81no—
417C2×D4—81no—
418C2×D4C2×C3×D412yes—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—42no—
431C22×C4—42no—
432C22×C4—81no—
433C22×C4—81no—
434C22×C4—81no—
435C22×C4—81no—
436C22×C4C2×C3×D411yescharacteristic
437C22×C4C2×C3×D411yescharacteristic
438C22×C4C2×C3×D411yescharacteristic
439C22×C4C2×C3×D412yes—
440C22×C4C2×C3×D411yescharacteristic
441C22×C4C2×C3×D411yescharacteristic
442C22×C4C3×#4112yes—
443C22×C4C24×C311yescharacteristic
444C2×C8—21no—
445C2×C8—21no—
446C2×C8—21no—
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—
456C4⋊C4—22no—
457C4⋊C4—22no—
458C4⋊C4—21no—
459C4⋊C4—21no—
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—42no—
472C4⋊C4—81no—
473C4⋊C4—81no—
474C4⋊C4—81no—
475C4⋊C4—81no—
476C4⋊C4—81no—
477C4⋊C4C2×C3×D412yes—
478C22⋊C4—24no—
479C22⋊C4—22no—
480C22⋊C4—22no—
481C22⋊C4—42no—
482C22⋊C4—42no—
483C22⋊C4—81no—
484C22⋊C4—81no—
485C22⋊C4—81no—
486C42—21no—
487C42—21no—
488C42—42no—
489C42—81no—
490C42C3×#4112yes—
491C42C3×#4112yes—
492C22×C3—22no—
493C22×C3—22no—
494C22×C3—22no—
495C22×C3—41no—
496C22×C3—41no—
497C22×C3—41no—
498C22×C3—41no—
499C22×C3—42no—
500C22×C3—42no—
501C22×C3—42no—
502C22×C3—81no—
503C22×C3—81no—
504C22×C3—81no—
505C22×C3—81no—
506C22×C3C2×#12111yescharacteristic
507C22×C3C2×#12311yescharacteristic
508C22×C3#53611yescharacteristic
509C22×C3#57611yescharacteristic
510C22×C3#57611yescharacteristic
511C22×C3#57711yescharacteristic
512C22×C3#57811yescharacteristic
513C3×C4—22no—
514C3×C4—22no—
515C3×C4—22no—
516C3×C4—41no—
517C3×C4—41no—
518C3×C4—42no—
519C3×C4—81no—
520C3×C4—81no—
521C3×C4—81no—
522C3×C4—81no—
523C3×C4—81no—
524C3×C4—81no—
525C3×C4#54711yescharacteristic
526C3×C4#54711yescharacteristic
527C3×C4#55211yescharacteristic
528C3×C4#55211yescharacteristic
529C23—21no—
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—22no—
536C23—41no—
537C23—41no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23C3×#12112yes—
543C23C22×C3×D411yescharacteristic
544D4—22no—
545D4—22no—
546D4—41no—
547D4—41no—
548D4—84no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—22no—
564C2×C4—21no—
565C2×C4—21no—
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—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—84no—
587C2×C4—84no—
588C2×C4C3×#12112yes—
589C2×C4C3×#12312yes—
590C2×C4C3×#12312yes—
591C2×C4C22×C3×D411yescharacteristic
592C2×C4C2×C3×#4111yescharacteristic
593C2×C4C2×C3×#4111yescharacteristic
594C2×C4C2×C3×#4111yescharacteristic
595C2×C4C3×2−1+411yescharacteristic
596C2×C4C3×2−1+411yescharacteristic
597C8—41no—
598C8—41no—
599C8—41no—
600C8—41no—
601C2×C3—42no—
602C2×C3—82no—
603C2×C3#248611yescharacteristic
604C2×C3#304111yescharacteristic
605C2×C3#304611yescharacteristic
606C2×C3#309611yescharacteristic
607C2×C3#309811yescharacteristic
608C2×C3#324111yescharacteristic
609C2×C3#324311yescharacteristic
610C22—22no—
611C22—22no—
612C22—22no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—42no—
618C22—42no—
619C22—42no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22C2×C3×#12111yescharacteristic
625C22C2×C3×#12311yescharacteristic
626C22C3×#53611yescharacteristic
627C22C3×#57611yescharacteristic
628C22C3×#57611yescharacteristic
629C22C3×#57711yescharacteristic
630C22C3×#57811yescharacteristic
631C4—22no—
632C4—22no—
633C4—22no—
634C4—42no—
635C4—41no—
636C4—41no—
637C4—81no—
638C4—81no—
639C4—81no—
640C4—81no—
641C4—81no—
642C4—81no—
643C4C3×#54711yescharacteristic
644C4C3×#54711yescharacteristic
645C4C3×#55211yescharacteristic
646C4C3×#55211yescharacteristic
647C3#2765511yescharacteristic, direct product factor, Sylow
648C2—42no—
649C2—82no—
650C2C3×#248611yescharacteristic
651C2C3×#304111yescharacteristic
652C2C3×#304611yescharacteristic
653C2C3×#309611yescharacteristic
654C2C3×#309811yescharacteristic
655C2C3×#324111yescharacteristic
656C2C3×#324311yescharacteristic
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
4. C3×#2317C2semidirect
5. C3×#2085C2semidirect
6. C3×#2083C2semidirect
7. C3×#2073C2semidirect
8. C3×#2071C2semidirect
9. C3×#1949C2semidirect
10. C3×#1947C2semidirect
11. C3×#1825C2semidirect
12. C3×#1824C2semidirect
13. C3×#1804C2semidirect
14. C3×#1802C2semidirect
15. C3×#1798C2semidirect
16. #27655C3direct (N × H)
65. #2317C2×C3semidirect
66. #2085C2×C3semidirect
67. #2083C2×C3semidirect
68. #2073C2×C3semidirect
69. #2071C2×C3semidirect
70. #1949C2×C3semidirect
71. #1947C2×C3semidirect
72. #1825C2×C3semidirect
73. #1824C2×C3semidirect
74. #1804C2×C3semidirect
75. #1802C2×C3semidirect
76. #1798C2×C3semidirect
647. C3#27655direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4822
C2×C3×#4802
C3×#23242
C3×#23172
C3×#20852
C3×#20832
C3×#20732
C3×#20712
C3×#19492
C3×#19472
C3×#18252
C3×#18242
C3×#18042
C3×#18022
C3×#17982
#276553