Finite Group Databasebeta

← C3×#21126 #10639733

Subgroups — C3×#21126 #10639733

Order 768.

938 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×#442C211yesmaximal, characteristic
2C3×#2319C211yesmaximal, characteristic, complemented
3C3×#2275C211yesmaximal, characteristic, complemented
4C3×#1926C211yesmaximal, characteristic, complemented
5C3×#1925C211yesmaximal, characteristic, complemented
6C3×#1920C211yesmaximal, characteristic, complemented
7C3×#1919C211yesmaximal, characteristic, complemented
8C3×#1879C211yesmaximal, characteristic
9C3×#1879C211yesmaximal, characteristic
10C3×#1864C211yesmaximal, characteristic, complemented
11C3×#1862C211yesmaximal, characteristic, complemented
12C3×#1776C211yesmaximal, characteristic, complemented
13C3×C4×#102C211yesmaximal, characteristic, complemented
14C3×C4×#102C211yesmaximal, characteristic, complemented
15C3×#1746C211yesmaximal, characteristic, complemented
16#21126C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×D8C2211yescharacteristic
18C2×C3×C4×D4C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C3×#442C418yescomplemented
23C2×C3×#107C2211yescharacteristic
24C2×C3×#106C2211yescharacteristic
25C2×C3×#106C2211yescharacteristic
26C2×C3×#102C2211yescharacteristic
27C2×C3×#102C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C2×C3×#97C2211yescharacteristic
33C2×C3×C4×C8C2211yescharacteristic
34C3×#390C2211yescharacteristic
35C3×#390C2211yescharacteristic
36C3×#389C2211yescharacteristic
37C3×#389C2211yescharacteristic
38C3×#388—21no—
39C3×#388—21no—
40C3×#381—21no—
41C3×#380—21no—
42C3×C4×C4⋊C4C2211yescharacteristic
43C3×C4×C4⋊C4C2211yescharacteristic
44C3×C4×C4⋊C4C2211yescharacteristic
45C3×C4×C4⋊C4C2211yescharacteristic
46C3×C4×C22⋊C4—21no—
47C3×C4×C22⋊C4—21no—
48C3×C4×C22⋊C4—21no—
49C3×#376C2211yescharacteristic
50C2×C3×#95—21no—
51C3×#340C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#336C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C2×#442C2×C311yescharacteristic
62#2319C2×C311yescharacteristic, complemented
63#2275C2×C311yescharacteristic, complemented
64#1926C2×C311yescharacteristic, complemented
65#1925C2×C311yescharacteristic, complemented
66#1920C2×C311yescharacteristic, complemented
67#1919C2×C311yescharacteristic, complemented
68#1879C2×C311yescharacteristic
69#1879C2×C311yescharacteristic
70#1864C2×C311yescharacteristic, complemented
71#1862C2×C311yescharacteristic, complemented
72#1776C2×C311yescharacteristic, complemented
73C4×#102C2×C311yescharacteristic, complemented
74C4×#102C2×C311yescharacteristic, complemented
75#1746C2×C311yescharacteristic, complemented
76C22×C3×D4C2311yescharacteristic
77C22×C3×D4C2311yescharacteristic
78C23×C3×C4—21no—
79C23×C3×C4—21no—
80C23×C3×C4—21no—
81C23×C3×C4—21no—
82C2×C3×D8—22no—
83C2×C3×D8—22no—
84C2×C3×D8C2×C414yes—
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C3×C4×D4—22no—
90C3×C4×D4—22no—
91C3×C4×D4—22no—
92C3×C4×D4—22no—
93C3×C4×D4—22no—
94C3×C4×D4—22no—
95C3×C4×D4C2×C414yes—
96C3×C4×D4C2×C414yescomplemented
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4C2311yescharacteristic
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×C42—21no—
114C2×C3×C42—21no—
115C2×C3×C42—21no—
116C2×C3×C42—21no—
117C2×C3×C42C2311yescharacteristic
118C2×C3×C42C2311yescharacteristic
119C2×C3×C42C2311yescharacteristic
120C3×#107—22no—
121C3×#106—22no—
122C3×#106C2×C414yescomplemented
123C3×#102—22no—
124C3×#102—22no—
125C3×#102—22no—
126C3×#102—22no—
127C3×#102C2×C414yes—
128C3×#102C2×C414yescomplemented
129C3×#97C2×C414yescomplemented
130C3×C4×C8—22no—
131C3×#95—21no—
132C3×#95—21no—
133C3×#95—21no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95D411yescharacteristic
138C3×#95D411yescharacteristic
139C3×#95D411yescharacteristic
140C3×#95D411yescharacteristic
141C22×D8C22×C311yescharacteristic
142C2×C4×D4C22×C311yescharacteristic
143C2×C4×D4C22×C311yescharacteristic
144C2×C4×D4C22×C311yescharacteristic
145C2×C4×D4C22×C311yescharacteristic
146#442C3×C418yescomplemented
147C2×#107C22×C311yescharacteristic
148C2×#106C22×C311yescharacteristic
149C2×#106C22×C311yescharacteristic
150C2×#102C22×C311yescharacteristic
151C2×#102C22×C311yescharacteristic
152C2×#102C22×C311yescharacteristic
153C2×#102C22×C311yescharacteristic
154C2×#102C22×C311yescharacteristic
155C2×#102C22×C311yescharacteristic
156C2×#97C22×C311yescharacteristic
157C2×C4×C8C22×C311yescharacteristic
158#390C22×C311yescharacteristic
159#390C22×C311yescharacteristic
160#389C22×C311yescharacteristic
161#389C22×C311yescharacteristic
162#388—21no—
163#388—21no—
164#381—21no—
165#380—21no—
166C4×C4⋊C4C22×C311yescharacteristic
167C4×C4⋊C4C22×C311yescharacteristic
168C4×C4⋊C4C22×C311yescharacteristic
169C4×C4⋊C4C22×C311yescharacteristic
170C4×C22⋊C4—21no—
171C4×C22⋊C4—21no—
172C4×C22⋊C4—21no—
173#376C22×C311yescharacteristic
174C2×#95—21no—
175#340C22×C311yescharacteristic
176#340C22×C311yescharacteristic
177#340C22×C311yescharacteristic
178#340C22×C311yescharacteristic
179#340C22×C311yescharacteristic
180#340C22×C311yescharacteristic
181#336C22×C311yescharacteristic
182#336C22×C311yescharacteristic
183#336C22×C311yescharacteristic
184#336C22×C311yescharacteristic
185C24×C3—21no—
186C24×C3—21no—
187C2×C3×D4—21no—
188C2×C3×D4—21no—
189C2×C3×D4—21no—
190C2×C3×D4—21no—
191C2×C3×D4—21no—
192C2×C3×D4—21no—
193C2×C3×D4—21no—
194C2×C3×D4—21no—
195C2×C3×D4C22×C412yes—
196C2×C3×D4C22×C412yes—
197C2×C3×D4#4112yes—
198C2×C3×D4#4112yes—
199C22×C3×C4—21no—
200C22×C3×C4—21no—
201C22×C3×C4—21no—
202C22×C3×C4—21no—
203C22×C3×C4—24no—
204C22×C3×C4—24no—
205C22×C3×C4—24no—
206C22×C3×C4—24no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—81no—
210C22×C3×C4—81no—
211C22×C3×C4—81no—
212C22×C3×C4—81no—
213C22×C3×C4—81no—
214C22×C3×C4—81no—
215C22×C3×C4—81no—
216C22×C3×C4—81no—
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2411yescharacteristic
224C3×D8—28no—
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—
235C2×C3×C8C22×C412yes—
236C2×C3×C8C22×C412yes—
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—81no—
246C3×C4⋊C4—81no—
247C3×C4⋊C4C22×C412yes—
248C3×C4⋊C4C22×C412yes—
249C3×C4⋊C4#4112yes—
250C3×C4⋊C4#4112yes—
251C3×C22⋊C4—24no—
252C3×C22⋊C4—24no—
253C3×C22⋊C4—24no—
254C3×C22⋊C4—24no—
255C3×C22⋊C4—81no—
256C3×C22⋊C4—81no—
257C3×C22⋊C4—81no—
258C3×C22⋊C4—81no—
259C3×C42—21no—
260C3×C42—21no—
261C3×C42—21no—
262C3×C42—21no—
263C3×C42—81no—
264C3×C42—81no—
265C3×C42—81no—
266C3×C42—81no—
267C3×C42C22×C412yes—
268C3×C42#4112yes—
269C22×D4C23×C311yescharacteristic
270C22×D4C23×C311yescharacteristic
271C23×C4—21no—
272C23×C4—21no—
273C23×C4—21no—
274C23×C4—21no—
275C2×D8—22no—
276C2×D8—22no—
277C2×D8C2×C3×C414yes—
278C22×C8C23×C311yescharacteristic
279C22×C8C23×C311yescharacteristic
280C22×C8C23×C311yescharacteristic
281C22×C8C23×C311yescharacteristic
282C4×D4—22no—
283C4×D4—22no—
284C4×D4—22no—
285C4×D4—22no—
286C4×D4—22no—
287C4×D4—22no—
288C4×D4C2×C3×C414yes—
289C4×D4C2×C3×C414yescomplemented
290C2×C4⋊C4—21no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4C23×C311yescharacteristic
293C2×C4⋊C4C23×C311yescharacteristic
294C2×C4⋊C4C23×C311yescharacteristic
295C2×C4⋊C4C23×C311yescharacteristic
296C2×C4⋊C4C23×C311yescharacteristic
297C2×C4⋊C4C23×C311yescharacteristic
298C2×C22⋊C4—21no—
299C2×C22⋊C4—21no—
300C2×C22⋊C4—21no—
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C22⋊C4—21no—
305C2×C22⋊C4—21no—
306C2×C42—21no—
307C2×C42—21no—
308C2×C42—21no—
309C2×C42—21no—
310C2×C42C23×C311yescharacteristic
311C2×C42C23×C311yescharacteristic
312C2×C42C23×C311yescharacteristic
313#107—22no—
314#106—22no—
315#106C2×C3×C414yescomplemented
316#102—22no—
317#102—22no—
318#102—22no—
319#102—22no—
320#102C2×C3×C414yes—
321#102C2×C3×C414yescomplemented
322#97C2×C3×C414yescomplemented
323C4×C8—22no—
324#95—21no—
325#95—21no—
326#95—21no—
327#95—21no—
328#95—21no—
329#95—21no—
330#95C3×D411yescharacteristic
331#95C3×D411yescharacteristic
332#95C3×D411yescharacteristic
333#95C3×D411yescharacteristic
334C23×C3—22no—
335C23×C3—22no—
336C23×C3—22no—
337C23×C3—22no—
338C23×C3—41no—
339C23×C3—41no—
340C23×C3—41no—
341C23×C3—41no—
342C23×C3—41no—
343C23×C3—41no—
344C23×C3—41no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—41no—
348C23×C3C22×D411yescharacteristic
349C3×D4—22no—
350C3×D4—22no—
351C3×D4—22no—
352C3×D4—22no—
353C3×D4—22no—
354C3×D4—41no—
355C3×D4—41no—
356C3×D4#11714yes—
357C2×C3×C4—21no—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—22no—
362C2×C3×C4—22no—
363C2×C3×C4—21no—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—22no—
368C2×C3×C4—22no—
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—84no—
392C2×C3×C4—84no—
393C2×C3×C4—84no—
394C2×C3×C4—84no—
395C2×C3×C4C4×D412yes—
396C2×C3×C4C4×D412yes—
397C2×C3×C4C23×C411yescharacteristic
398C2×C3×C4C2×#4111yescharacteristic
399C2×C3×C4C2×#4111yescharacteristic
400C2×C3×C4C2×#4111yescharacteristic
401C2×C3×C4C2×#4111yescharacteristic
402C2×C3×C4C2×#4111yescharacteristic
403C3×C8—22no—
404C3×C8—22no—
405C3×C8—41no—
406C3×C8—41no—
407C24—21no—
408C24—21no—
409C2×D4—21no—
410C2×D4—21no—
411C2×D4—21no—
412C2×D4—21no—
413C2×D4—21no—
414C2×D4—21no—
415C2×D4—21no—
416C2×D4—21no—
417C2×D4C22×C3×C412yes—
418C2×D4C22×C3×C412yes—
419C2×D4C3×#4112yes—
420C2×D4C3×#4112yes—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—24no—
426C22×C4—24no—
427C22×C4—24no—
428C22×C4—24no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—81no—
432C22×C4—81no—
433C22×C4—81no—
434C22×C4—81no—
435C22×C4—81no—
436C22×C4—81no—
437C22×C4—81no—
438C22×C4—81no—
439C22×C4C2×C3×D411yescharacteristic
440C22×C4C2×C3×D411yescharacteristic
441C22×C4C2×C3×D411yescharacteristic
442C22×C4C2×C3×D411yescharacteristic
443C22×C4C2×C3×D411yescharacteristic
444C22×C4C2×C3×D411yescharacteristic
445C22×C4C24×C311yescharacteristic
446D8—28no—
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×C8C22×C3×C412yes—
458C2×C8C22×C3×C412yes—
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—81no—
468C4⋊C4—81no—
469C4⋊C4C22×C3×C412yes—
470C4⋊C4C22×C3×C412yes—
471C4⋊C4C3×#4112yes—
472C4⋊C4C3×#4112yes—
473C22⋊C4—24no—
474C22⋊C4—24no—
475C22⋊C4—24no—
476C22⋊C4—24no—
477C22⋊C4—81no—
478C22⋊C4—81no—
479C22⋊C4—81no—
480C22⋊C4—81no—
481C42—21no—
482C42—21no—
483C42—21no—
484C42—21no—
485C42—81no—
486C42—81no—
487C42—81no—
488C42—81no—
489C42C22×C3×C412yes—
490C42C3×#4112yes—
491C22×C3—24no—
492C22×C3—42no—
493C22×C3—42no—
494C22×C3—42no—
495C22×C3—42no—
496C22×C3—42no—
497C22×C3—42no—
498C22×C3—42no—
499C22×C3—42no—
500C22×C3—42no—
501C22×C3—81no—
502C22×C3—81no—
503C22×C3—81no—
504C22×C3—81no—
505C22×C3C2×C4×D411yescharacteristic
506C22×C3#52511yescharacteristic
507C22×C3#52511yescharacteristic
508C22×C3#57611yescharacteristic
509C22×C3#57611yescharacteristic
510C22×C3#57711yescharacteristic
511C22×C3#57711yescharacteristic
512C3×C4—22no—
513C3×C4—22no—
514C3×C4—41no—
515C3×C4—42no—
516C3×C4—41no—
517C3×C4—41no—
518C3×C4—42no—
519C3×C4—41no—
520C3×C4—42no—
521C3×C4—42no—
522C3×C4—81no—
523C3×C4—81no—
524C3×C4C2×#11711yescharacteristic
525C3×C4C4×#4111yescharacteristic
526C3×C4#52911yescharacteristic
527C3×C4#52911yescharacteristic
528C23—22no—
529C23—22no—
530C23—22no—
531C23—22no—
532C23—41no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23C22×C3×D411yescharacteristic
543D4—22no—
544D4—22no—
545D4—22no—
546D4—22no—
547D4—22no—
548D4—41no—
549D4—41no—
550D4C3×#11714yes—
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—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—22no—
570C2×C4—22no—
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—84no—
586C2×C4—84no—
587C2×C4—84no—
588C2×C4—84no—
589C2×C4C3×C4×D412yes—
590C2×C4C3×C4×D412yes—
591C2×C4C23×C3×C411yescharacteristic
592C2×C4C2×C3×#4111yescharacteristic
593C2×C4C2×C3×#4111yescharacteristic
594C2×C4C2×C3×#4111yescharacteristic
595C2×C4C2×C3×#4111yescharacteristic
596C2×C4C2×C3×#4111yescharacteristic
597C8—22no—
598C8—22no—
599C8—41no—
600C8—41no—
601C2×C3—44no—
602C2×C3—82no—
603C2×C3#229011yescharacteristic
604C2×C3#294611yescharacteristic
605C2×C3#294611yescharacteristic
606C2×C3#311811yescharacteristic
607C2×C3#311911yescharacteristic
608C2×C3#312211yescharacteristic
609C2×C3#312511yescharacteristic
610C22—24no—
611C22—42no—
612C22—42no—
613C22—42no—
614C22—42no—
615C22—42no—
616C22—42no—
617C22—42no—
618C22—42no—
619C22—42no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22C2×C3×C4×D411yescharacteristic
625C22C3×#52511yescharacteristic
626C22C3×#52511yescharacteristic
627C22C3×#57611yescharacteristic
628C22C3×#57611yescharacteristic
629C22C3×#57711yescharacteristic
630C22C3×#57711yescharacteristic
631C4—22no—
632C4—22no—
633C4—42no—
634C4—42no—
635C4—41no—
636C4—42no—
637C4—41no—
638C4—41no—
639C4—42no—
640C4—41no—
641C4—81no—
642C4—81no—
643C4C2×C3×#11711yescharacteristic
644C4C3×C4×#4111yescharacteristic
645C4C3×#52911yescharacteristic
646C4C3×#52911yescharacteristic
647C3#2112611yescharacteristic, direct product factor, Sylow
648C2—44no—
649C2—82no—
650C2C3×#229011yescharacteristic
651C2C3×#294611yescharacteristic
652C2C3×#294611yescharacteristic
653C2C3×#311811yescharacteristic
654C2C3×#311911yescharacteristic
655C2C3×#312211yescharacteristic
656C2C3×#312511yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutatorC2×C4C23×C3×C4
Frattini, cosocleC22×C4C24×C3
prime radicalC22×C3×D8C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×#376 ◁ G

Complements

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

NH ≅ G/Ntype
2. C3×#2319C2semidirect
3. C3×#2275C2semidirect
4. C3×#1926C2semidirect
5. C3×#1925C2semidirect
6. C3×#1920C2semidirect
7. C3×#1919C2semidirect
10. C3×#1864C2semidirect
11. C3×#1862C2semidirect
12. C3×#1776C2semidirect
13. C3×C4×#102C2semidirect
14. C3×C4×#102C2semidirect
15. C3×#1746C2semidirect
16. #21126C3direct (N × H)
22. C3×#442C4semidirect
62. #2319C2×C3semidirect
63. #2275C2×C3semidirect
64. #1926C2×C3semidirect
65. #1925C2×C3semidirect
66. #1920C2×C3semidirect
67. #1919C2×C3semidirect
70. #1864C2×C3semidirect
71. #1862C2×C3semidirect
72. #1776C2×C3semidirect
73. C4×#102C2×C3semidirect
74. C4×#102C2×C3semidirect
75. #1746C2×C3semidirect
96. C3×C4×D4C2×C4semidirect
122. C3×#106C2×C4semidirect
128. C3×#102C2×C4semidirect
129. C3×#97C2×C4semidirect
146. #442C3×C4semidirect
289. C4×D4C2×C3×C4semidirect
315. #106C2×C3×C4semidirect
321. #102C2×C3×C4semidirect
322. #97C2×C3×C4semidirect
647. C3#21126direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4422
C3×#23192
C3×#22752
C3×#19262
C3×#19252
C3×#19202
C3×#19192
C3×#18792
C3×#18642
C3×#18622
C3×#17762
C3×C4×#1022
C3×#17462
#211263