Finite Group Databasebeta

← C3×#26388 #10644995

Subgroups — C3×#26388 #10644995

Order 768.

926 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#474C211yesmaximal, characteristic, complemented
2C2×C3×#442C211yesmaximal, characteristic
3C3×#2452C211yesmaximal, characteristic, complemented
4C3×#2349C211yesmaximal, characteristic, complemented
5C3×#2092C211yesmaximal, characteristic, complemented
6C3×#2085C211yesmaximal, characteristic, complemented
7C3×#2065C211yesmaximal, characteristic, complemented
8C3×#2058C211yesmaximal, characteristic, complemented
9C3×#1944C211yesmaximal, characteristic, complemented
10C3×#1917C211yesmaximal, characteristic, complemented
11C3×#1879C211yesmaximal, characteristic
12C3×#1879C211yesmaximal, characteristic
13C3×#1864C211yesmaximal, characteristic, complemented
14C3×#1864C211yesmaximal, characteristic, complemented
15C3×#1862C211yesmaximal, characteristic, complemented
16#26388C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×D8C2211yescharacteristic
18C2×C3×C4⋊Q8C2211yescharacteristic
19C2×C3×C22⋊Q8—21no—
20C2×C3×C4×D4C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C2×C3×C4×D4C2211yescharacteristic
23C2×C3×C4×D4C2211yescharacteristic
24C3×#474—24no—
25C3×#442—24no—
26C2×C3×#107C2211yescharacteristic
27C2×C3×#107C2211yescharacteristic
28C2×C3×#106C2211yescharacteristic
29C2×C3×#106C2211yescharacteristic
30C2×C3×#106C2211yescharacteristic
31C2×C3×C4⋊C8C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic
33C2×C3×#102C2211yescharacteristic
34C2×C3×#102C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×#102C2211yescharacteristic
37C2×C3×#102C2211yescharacteristic
38C2×C3×#97C2211yescharacteristic
39C3×#396—21no—
40C3×#393—21no—
41C3×#390C2211yescharacteristic
42C3×#390C2211yescharacteristic
43C3×#389C2211yescharacteristic
44C3×#389C2211yescharacteristic
45C3×#389C2211yescharacteristic
46C3×#389C2211yescharacteristic
47C3×#385—21no—
48C3×#385—21no—
49C3×#385—21no—
50C3×#382C2211yescharacteristic
51C3×#380—21no—
52C3×C4×C4⋊C4C2211yescharacteristic
53C2×C3×#95—21no—
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#474C2×C311yescharacteristic, complemented
63C2×#442C2×C311yescharacteristic
64#2452C2×C311yescharacteristic, complemented
65#2349C2×C311yescharacteristic, complemented
66#2092C2×C311yescharacteristic, complemented
67#2085C2×C311yescharacteristic, complemented
68#2065C2×C311yescharacteristic, complemented
69#2058C2×C311yescharacteristic, complemented
70#1944C2×C311yescharacteristic, complemented
71#1917C2×C311yescharacteristic, complemented
72#1879C2×C311yescharacteristic
73#1879C2×C311yescharacteristic
74#1864C2×C311yescharacteristic, complemented
75#1864C2×C311yescharacteristic, complemented
76#1862C2×C311yescharacteristic, complemented
77C22×C3×Q8—21no—
78C22×C3×D4C2311yescharacteristic
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C23×C3×C4—21no—
82C23×C3×C4—21no—
83C23×C3×C4—21no—
84C2×C3×D8—22no—
85C2×C3×D8—22no—
86C2×C3×D8Q814yescomplemented
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C3×C4⋊Q8—22no—
92C3×C4⋊Q8—41no—
93C3×C22⋊Q8—44no—
94C3×C4×D4—22no—
95C3×C4×D4—22no—
96C3×C4×D4—22no—
97C3×C4×D4—22no—
98C3×C4×D4—22no—
99C3×C4×D4—41no—
100C3×C4×D4—41no—
101C3×C4×D4—41no—
102C2×C3×C4⋊C4—21no—
103C2×C3×C4⋊C4—21no—
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4—21no—
107C2×C3×C4⋊C4D411yescharacteristic
108C2×C3×C4⋊C4D411yescharacteristic
109C2×C3×C4⋊C4C2311yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C4⋊C4C2311yescharacteristic
112C2×C3×C4⋊C4C2311yescharacteristic
113C2×C3×C4⋊C4C2311yescharacteristic
114C2×C3×C4⋊C4C2311yescharacteristic
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⋊C4—21no—
121C2×C3×C22⋊C4—21no—
122C2×C3×C22⋊C4—21no—
123C2×C3×C42C2311yescharacteristic
124C2×C3×C42C2311yescharacteristic
125C2×C3×C42C2311yescharacteristic
126C3×#107—22no—
127C3×#107—22no—
128C3×#106—22no—
129C3×#106—22no—
130C3×#106—41no—
131C3×C4⋊C8—22no—
132C3×#102—22no—
133C3×#102—22no—
134C3×#102—22no—
135C3×#102—22no—
136C3×#102—41no—
137C3×#102D414yes—
138C3×#97—22no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95—21no—
142C3×#95—21no—
143C3×#95—21no—
144C3×#95—21no—
145C3×#95D411yescharacteristic
146C3×#95D411yescharacteristic
147C22×D8C22×C311yescharacteristic
148C2×C4⋊Q8C22×C311yescharacteristic
149C2×C22⋊Q8—21no—
150C2×C4×D4C22×C311yescharacteristic
151C2×C4×D4C22×C311yescharacteristic
152C2×C4×D4C22×C311yescharacteristic
153C2×C4×D4C22×C311yescharacteristic
154#474—24no—
155#442—24no—
156C2×#107C22×C311yescharacteristic
157C2×#107C22×C311yescharacteristic
158C2×#106C22×C311yescharacteristic
159C2×#106C22×C311yescharacteristic
160C2×#106C22×C311yescharacteristic
161C2×C4⋊C8C22×C311yescharacteristic
162C2×#102C22×C311yescharacteristic
163C2×#102C22×C311yescharacteristic
164C2×#102C22×C311yescharacteristic
165C2×#102C22×C311yescharacteristic
166C2×#102C22×C311yescharacteristic
167C2×#102C22×C311yescharacteristic
168C2×#97C22×C311yescharacteristic
169#396—21no—
170#393—21no—
171#390C22×C311yescharacteristic
172#390C22×C311yescharacteristic
173#389C22×C311yescharacteristic
174#389C22×C311yescharacteristic
175#389C22×C311yescharacteristic
176#389C22×C311yescharacteristic
177#385—21no—
178#385—21no—
179#385—21no—
180#382C22×C311yescharacteristic
181#380—21no—
182C4×C4⋊C4C22×C311yescharacteristic
183C2×#95—21no—
184#340C22×C311yescharacteristic
185#340C22×C311yescharacteristic
186#340C22×C311yescharacteristic
187#340C22×C311yescharacteristic
188#336C22×C311yescharacteristic
189#336C22×C311yescharacteristic
190#336C22×C311yescharacteristic
191#336C22×C311yescharacteristic
192C24×C3—21no—
193C24×C3—21no—
194C2×C3×Q8—42no—
195C2×C3×Q8—42no—
196C2×C3×Q8—81no—
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×D4C2×D412yes—
206C2×C3×D4C2×Q812yes—
207C2×C3×D4C2×Q812yes—
208C2×C3×D4#4112yes—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—24no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—42no—
217C22×C3×C4—42no—
218C22×C3×C4—42no—
219C22×C3×C4—42no—
220C22×C3×C4—42no—
221C22×C3×C4—42no—
222C22×C3×C4—81no—
223C22×C3×C4—81no—
224C22×C3×C4—81no—
225C22×C3×C4—81no—
226C22×C3×C4—81no—
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2×D411yescharacteristic
233C22×C3×C4C2411yescharacteristic
234C3×D8—28no—
235C2×C3×C8—21no—
236C2×C3×C8—21no—
237C2×C3×C8—21no—
238C2×C3×C8—21no—
239C2×C3×C8—21no—
240C2×C3×C8—21no—
241C2×C3×C8—21no—
242C2×C3×C8—21no—
243C2×C3×C8—21no—
244C2×C3×C8—21no—
245C2×C3×C8C2×D412yes—
246C2×C3×C8C2×Q812yes—
247C3×C4⋊C4—22no—
248C3×C4⋊C4—21no—
249C3×C4⋊C4—21no—
250C3×C4⋊C4—21no—
251C3×C4⋊C4—21no—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—21no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4—21no—
257C3×C4⋊C4—21no—
258C3×C4⋊C4—41no—
259C3×C4⋊C4—42no—
260C3×C4⋊C4—42no—
261C3×C4⋊C4—42no—
262C3×C4⋊C4—81no—
263C3×C4⋊C4—81no—
264C3×C4⋊C4C2×D412yes—
265C3×C4⋊C4#4112yes—
266C3×C22⋊C4—24no—
267C3×C22⋊C4—42no—
268C3×C22⋊C4—42no—
269C3×C22⋊C4—42no—
270C3×C22⋊C4—42no—
271C3×C22⋊C4—42no—
272C3×C22⋊C4—42no—
273C3×C22⋊C4—81no—
274C3×C42—21no—
275C3×C42—21no—
276C3×C42—21no—
277C3×C42—21no—
278C3×C42—21no—
279C3×C42—21no—
280C22×Q8—21no—
281C22×D4C23×C311yescharacteristic
282C22×D4C23×C311yescharacteristic
283C23×C4—21no—
284C23×C4—21no—
285C23×C4—21no—
286C23×C4—21no—
287C2×D8—22no—
288C2×D8—22no—
289C2×D8C3×Q814yescomplemented
290C22×C8C23×C311yescharacteristic
291C22×C8C23×C311yescharacteristic
292C22×C8C23×C311yescharacteristic
293C22×C8C23×C311yescharacteristic
294C4⋊Q8—22no—
295C4⋊Q8—41no—
296C22⋊Q8—44no—
297C4×D4—22no—
298C4×D4—22no—
299C4×D4—22no—
300C4×D4—22no—
301C4×D4—22no—
302C4×D4—41no—
303C4×D4—41no—
304C4×D4—41no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4C3×D411yescharacteristic
311C2×C4⋊C4C3×D411yescharacteristic
312C2×C4⋊C4C23×C311yescharacteristic
313C2×C4⋊C4C23×C311yescharacteristic
314C2×C4⋊C4C23×C311yescharacteristic
315C2×C4⋊C4C23×C311yescharacteristic
316C2×C4⋊C4C23×C311yescharacteristic
317C2×C4⋊C4C23×C311yescharacteristic
318C2×C22⋊C4—21no—
319C2×C22⋊C4—21no—
320C2×C22⋊C4—21no—
321C2×C22⋊C4—21no—
322C2×C22⋊C4—21no—
323C2×C22⋊C4—21no—
324C2×C22⋊C4—21no—
325C2×C22⋊C4—21no—
326C2×C42C23×C311yescharacteristic
327C2×C42C23×C311yescharacteristic
328C2×C42C23×C311yescharacteristic
329#107—22no—
330#107—22no—
331#106—22no—
332#106—22no—
333#106—41no—
334C4⋊C8—22no—
335#102—22no—
336#102—22no—
337#102—22no—
338#102—22no—
339#102—41no—
340#102C3×D414yes—
341#97—22no—
342#95—21no—
343#95—21no—
344#95—21no—
345#95—21no—
346#95—21no—
347#95—21no—
348#95C3×D411yescharacteristic
349#95C3×D411yescharacteristic
350C23×C3—22no—
351C23×C3—22no—
352C23×C3—22no—
353C23×C3—22no—
354C23×C3—41no—
355C23×C3—41no—
356C23×C3—41no—
357C23×C3—41no—
358C23×C3—41no—
359C23×C3—41no—
360C23×C3—41no—
361C23×C3—41no—
362C23×C3—41no—
363C23×C3—41no—
364C23×C3C22×D411yescharacteristic
365C3×Q8—84no—
366C3×D4—22no—
367C3×D4—22no—
368C3×D4—22no—
369C3×D4—22no—
370C3×D4—22no—
371C3×D4—41no—
372C3×D4—41no—
373C3×D4C22⋊Q814yescomplemented
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—22no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—22no—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—21no—
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×C4—41no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4—84no—
410C2×C3×C4—84no—
411C2×C3×C4—84no—
412C2×C3×C4—84no—
413C2×C3×C4AGL(1,ℤ/8)12yes—
414C2×C3×C4C22×D411yescharacteristic
415C2×C3×C4C22×Q811yescharacteristic
416C2×C3×C4C2×#4111yescharacteristic
417C2×C3×C4C2×#4111yescharacteristic
418C2×C3×C4H(5,𝔽2)11yescharacteristic
419C2×C3×C42−1+411yescharacteristic
420C3×C8—22no—
421C3×C8—22no—
422C3×C8—41no—
423C3×C8—41no—
424C24—21no—
425C24—21no—
426C2×Q8—42no—
427C2×Q8—42no—
428C2×Q8—81no—
429C2×D4—21no—
430C2×D4—21no—
431C2×D4—21no—
432C2×D4—21no—
433C2×D4—21no—
434C2×D4—21no—
435C2×D4—21no—
436C2×D4—21no—
437C2×D4C2×C3×D412yes—
438C2×D4C2×C3×Q812yes—
439C2×D4C2×C3×Q812yes—
440C2×D4C3×#4112yes—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—24no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—42no—
449C22×C4—42no—
450C22×C4—42no—
451C22×C4—42no—
452C22×C4—42no—
453C22×C4—42no—
454C22×C4—81no—
455C22×C4—81no—
456C22×C4—81no—
457C22×C4—81no—
458C22×C4—81no—
459C22×C4C2×C3×D411yescharacteristic
460C22×C4C2×C3×D411yescharacteristic
461C22×C4C2×C3×D411yescharacteristic
462C22×C4C2×C3×D411yescharacteristic
463C22×C4C2×C3×D411yescharacteristic
464C22×C4C2×C3×D411yescharacteristic
465C22×C4C24×C311yescharacteristic
466D8—28no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8—21no—
474C2×C8—21no—
475C2×C8—21no—
476C2×C8—21no—
477C2×C8C2×C3×D412yes—
478C2×C8C2×C3×Q812yes—
479C4⋊C4—22no—
480C4⋊C4—21no—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4—21no—
489C4⋊C4—21no—
490C4⋊C4—41no—
491C4⋊C4—42no—
492C4⋊C4—42no—
493C4⋊C4—42no—
494C4⋊C4—81no—
495C4⋊C4—81no—
496C4⋊C4C2×C3×D412yes—
497C4⋊C4C3×#4112yes—
498C22⋊C4—24no—
499C22⋊C4—42no—
500C22⋊C4—42no—
501C22⋊C4—42no—
502C22⋊C4—42no—
503C22⋊C4—42no—
504C22⋊C4—42no—
505C22⋊C4—81no—
506C42—21no—
507C42—21no—
508C42—21no—
509C42—21no—
510C42—21no—
511C42—21no—
512C22×C3—24no—
513C22×C3—42no—
514C22×C3—42no—
515C22×C3—42no—
516C22×C3—42no—
517C22×C3—42no—
518C22×C3—42no—
519C22×C3—42no—
520C22×C3—42no—
521C22×C3—42no—
522C22×C3—81no—
523C22×C3—81no—
524C22×C3—81no—
525C22×C3—81no—
526C22×C3#52511yescharacteristic
527C22×C3D4211yescharacteristic
528C22×C3D4×Q811yescharacteristic
529C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
530C22×C3#57511yescharacteristic
531C22×C3#57611yescharacteristic
532C22×C3#57711yescharacteristic
533C3×C4—22no—
534C3×C4—41no—
535C3×C4—41no—
536C3×C4—42no—
537C3×C4—41no—
538C3×C4—42no—
539C3×C4—41no—
540C3×C4—41no—
541C3×C4—81no—
542C3×C4—81no—
543C3×C4—81no—
544C3×C4—81no—
545C3×C4C2×C22⋊Q811yescharacteristic
546C3×C4#53911yescharacteristic
547C3×C4#54711yescharacteristic
548C3×C4#55411yescharacteristic
549C23—22no—
550C23—22no—
551C23—22no—
552C23—22no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23C22×C3×D411yescharacteristic
564Q8—84no—
565D4—22no—
566D4—22no—
567D4—22no—
568D4—22no—
569D4—22no—
570D4—41no—
571D4—41no—
572D4C3×C22⋊Q814yescomplemented
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—22no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
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×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—84no—
609C2×C4—84no—
610C2×C4—84no—
611C2×C4—84no—
612C2×C4C3×AGL(1,ℤ/8)12yes—
613C2×C4C22×C3×D411yescharacteristic
614C2×C4C22×C3×Q811yescharacteristic
615C2×C4C2×C3×#4111yescharacteristic
616C2×C4C2×C3×#4111yescharacteristic
617C2×C4C3×H(5,𝔽2)11yescharacteristic
618C2×C4C3×2−1+411yescharacteristic
619C8—22no—
620C8—22no—
621C8—41no—
622C8—41no—
623C2×C3—44no—
624C2×C3—82no—
625C2×C3#244911yescharacteristic
626C2×C3#311511yescharacteristic
627C2×C3#311811yescharacteristic
628C2×C3#326411yescharacteristic
629C2×C3#327511yescharacteristic
630C2×C3#338411yescharacteristic
631C2×C3#338911yescharacteristic
632C22—24no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22—42no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—42no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22C3×#52511yescharacteristic
647C22C3×D4211yescharacteristic
648C22C3×D4×Q811yescharacteristic
649C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
650C22C3×#57511yescharacteristic
651C22C3×#57611yescharacteristic
652C22C3×#57711yescharacteristic
653C4—22no—
654C4—41no—
655C4—42no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—42no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4C2×C3×C22⋊Q811yescharacteristic
666C4C3×#53911yescharacteristic
667C4C3×#54711yescharacteristic
668C4C3×#55411yescharacteristic
669C3#2638811yescharacteristic, direct product factor, Sylow
670C2—44no—
671C2—82no—
672C2C3×#244911yescharacteristic
673C2C3×#311511yescharacteristic
674C2C3×#311811yescharacteristic
675C2C3×#326411yescharacteristic
676C2C3×#327511yescharacteristic
677C2C3×#338411yescharacteristic
678C2C3×#338911yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC22×C3×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C4×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#474C2semidirect
3. C3×#2452C2semidirect
4. C3×#2349C2semidirect
5. C3×#2092C2semidirect
6. C3×#2085C2semidirect
7. C3×#2065C2semidirect
8. C3×#2058C2semidirect
9. C3×#1944C2semidirect
10. C3×#1917C2semidirect
13. C3×#1864C2semidirect
14. C3×#1864C2semidirect
15. C3×#1862C2semidirect
16. #26388C3direct (N × H)
62. C2×#474C2×C3semidirect
64. #2452C2×C3semidirect
65. #2349C2×C3semidirect
66. #2092C2×C3semidirect
67. #2085C2×C3semidirect
68. #2065C2×C3semidirect
69. #2058C2×C3semidirect
70. #1944C2×C3semidirect
71. #1917C2×C3semidirect
74. #1864C2×C3semidirect
75. #1864C2×C3semidirect
76. #1862C2×C3semidirect
86. C2×C3×D8Q8semidirect
289. C2×D8C3×Q8semidirect
373. C3×D4C22⋊Q8semidirect
572. D4C3×C22⋊Q8semidirect
669. C3#26388direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4742
C2×C3×#4422
C3×#24522
C3×#23492
C3×#20922
C3×#20852
C3×#20652
C3×#20582
C3×#19442
C3×#19172
C3×#18792
C3×#18642
C3×#18622
#263883