Finite Group Databasebeta

← C3×#29239 #10647846

Subgroups — C3×#29239 #10647846

Order 768.

854 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×C4×#121C211yesmaximal, characteristic
2C3×#2296C211yesmaximal, characteristic, complemented
3C3×#2088C211yesmaximal, characteristic, complemented
4C3×#2086C211yesmaximal, characteristic, complemented
5C3×#2067C211yesmaximal, characteristic, complemented
6C3×#2065C211yesmaximal, characteristic, complemented
7C3×#1921C211yesmaximal, characteristic, complemented
8C3×#1919C211yesmaximal, characteristic, complemented
9C3×#1875C211yesmaximal, characteristic
10C3×#1875C211yesmaximal, characteristic
11C3×#1864C211yesmaximal, characteristic, complemented
12C3×#1862C211yesmaximal, characteristic, complemented
13C3×#1854C211yesmaximal, characteristic, complemented
14C3×#1854C211yesmaximal, characteristic, complemented
15C3×#1797C211yesmaximal, characteristic, complemented
16#29239C311yesmaximal, characteristic, direct product factor, Sylow
17C2×C3×#121C2211yescharacteristic
18C2×C3×C4×D4—21no—
19C2×C3×C4×D4C2211yescharacteristic
20C2×C3×#117C2211yescharacteristic
21C2×C3×#117C2211yescharacteristic
22C22×C3×C42C2211yescharacteristic
23C2×C3×#107C2211yescharacteristic
24C2×C3×#107C2211yescharacteristic
25C2×C3×#106C2211yescharacteristic
26C2×C3×#106C2211yescharacteristic
27C2×C3×C4⋊C8C2211yescharacteristic
28C2×C3×C4⋊C8C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic
33C2×C3×C22⋊C8C2211yescharacteristic
34C2×C3×C22⋊C8C2211yescharacteristic
35C3×#390C2211yescharacteristic
36C3×#389C2211yescharacteristic
37C3×#389C2211yescharacteristic
38C3×#389C2211yescharacteristic
39C3×#389C2211yescharacteristic
40C3×#389C2211yescharacteristic
41C3×#388—21no—
42C3×#386—21no—
43C3×#385—21no—
44C3×#385—21no—
45C3×#380C2211yescharacteristic
46C3×C4×C4⋊C4—21no—
47C3×C4×C4⋊C4—21no—
48C3×C4×C4⋊C4C2211yescharacteristic
49C3×C4×C22⋊C4—21no—
50C3×#340C2211yescharacteristic
51C3×#340C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60C4×#121C2×C311yescharacteristic
61#2296C2×C311yescharacteristic, complemented
62#2088C2×C311yescharacteristic, complemented
63#2086C2×C311yescharacteristic, complemented
64#2067C2×C311yescharacteristic, complemented
65#2065C2×C311yescharacteristic, complemented
66#1921C2×C311yescharacteristic, complemented
67#1919C2×C311yescharacteristic, complemented
68#1875C2×C311yescharacteristic
69#1875C2×C311yescharacteristic
70#1864C2×C311yescharacteristic, complemented
71#1862C2×C311yescharacteristic, complemented
72#1854C2×C311yescharacteristic, complemented
73#1854C2×C311yescharacteristic, complemented
74#1797C2×C311yescharacteristic, complemented
75C22×C3×D4—21no—
76C22×C3×D4C2311yescharacteristic
77C23×C3×C4—21no—
78C23×C3×C4D411yescharacteristic
79C23×C3×C4D411yescharacteristic
80C23×C3×C4C2311yescharacteristic
81C22×C3×C8C2311yescharacteristic
82C22×C3×C8C2311yescharacteristic
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C3×#121—22no—
86C3×#121Q814yes—
87C3×C4×D4—41no—
88C3×C4×D4—41no—
89C3×C4×D4—44no—
90C3×#117—22no—
91C3×#117—22no—
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⋊C4C2311yescharacteristic
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C4⋊C4C2311yescharacteristic
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—41no—
117C2×C3×C42—41no—
118C2×C3×C42D411yescharacteristic
119C2×C3×C42D411yescharacteristic
120C2×C3×C42C2311yescharacteristic
121C2×C3×C42C2311yescharacteristic
122C3×#107—22no—
123C3×#107—41no—
124C3×#106—22no—
125C3×#106—41no—
126C3×C4⋊C8—41no—
127C3×C4⋊C8—41no—
128C3×#102—22no—
129C3×#102—22no—
130C3×#102—41no—
131C3×#102—41no—
132C3×C22⋊C8—22no—
133C3×C22⋊C8—22no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C2×#121C22×C311yescharacteristic
142C2×C4×D4—21no—
143C2×C4×D4C22×C311yescharacteristic
144C2×#117C22×C311yescharacteristic
145C2×#117C22×C311yescharacteristic
146C22×C42C22×C311yescharacteristic
147C2×#107C22×C311yescharacteristic
148C2×#107C22×C311yescharacteristic
149C2×#106C22×C311yescharacteristic
150C2×#106C22×C311yescharacteristic
151C2×C4⋊C8C22×C311yescharacteristic
152C2×C4⋊C8C22×C311yescharacteristic
153C2×#102C22×C311yescharacteristic
154C2×#102C22×C311yescharacteristic
155C2×#102C22×C311yescharacteristic
156C2×#102C22×C311yescharacteristic
157C2×C22⋊C8C22×C311yescharacteristic
158C2×C22⋊C8C22×C311yescharacteristic
159#390C22×C311yescharacteristic
160#389C22×C311yescharacteristic
161#389C22×C311yescharacteristic
162#389C22×C311yescharacteristic
163#389C22×C311yescharacteristic
164#389C22×C311yescharacteristic
165#388—21no—
166#386—21no—
167#385—21no—
168#385—21no—
169#380C22×C311yescharacteristic
170C4×C4⋊C4—21no—
171C4×C4⋊C4—21no—
172C4×C4⋊C4C22×C311yescharacteristic
173C4×C22⋊C4—21no—
174#340C22×C311yescharacteristic
175#340C22×C311yescharacteristic
176#340C22×C311yescharacteristic
177#340C22×C311yescharacteristic
178#340C22×C311yescharacteristic
179#340C22×C311yescharacteristic
180#340C22×C311yescharacteristic
181#340C22×C311yescharacteristic
182#336C22×C311yescharacteristic
183#336C22×C311yescharacteristic
184C24×C3—21no—
185C24×C3C2×D411yescharacteristic
186C2×C3×D4—24no—
187C2×C3×D4—21no—
188C2×C3×D4—21no—
189C2×C3×D4—21no—
190C2×C3×D4—21no—
191C2×C3×D4—21no—
192C2×C3×D4—42no—
193C2×C3×D4—42no—
194C2×C3×D4C2×Q812yes—
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—22no—
203C22×C3×C4—22no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—41no—
209C22×C3×C4—41no—
210C22×C3×C4—41no—
211C22×C3×C4—41no—
212C22×C3×C4—42no—
213C22×C3×C4—42no—
214C22×C3×C4—42no—
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×Q812yes—
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—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—42no—
247C3×C4⋊C4—42no—
248C3×C4⋊C4—42no—
249C3×C4⋊C4—42no—
250C3×C4⋊C4—42no—
251C3×C4⋊C4C2×Q812yes—
252C3×C4⋊C4#4112yes—
253C3×C4⋊C4#4112yes—
254C3×C22⋊C4—24no—
255C3×C22⋊C4—24no—
256C3×C22⋊C4—42no—
257C3×C22⋊C4—42no—
258C3×C22⋊C4—42no—
259C3×C22⋊C4—42no—
260C3×C22⋊C4—42no—
261C3×C42—24no—
262C3×C42—21no—
263C3×C42—21no—
264C3×C42—21no—
265C3×C42—21no—
266C3×C42—41no—
267C3×C42—41no—
268C3×C42—42no—
269C3×C42—42no—
270C22×D4—21no—
271C22×D4C23×C311yescharacteristic
272C23×C4—21no—
273C23×C4C3×D411yescharacteristic
274C23×C4C3×D411yescharacteristic
275C23×C4C23×C311yescharacteristic
276C22×C8C23×C311yescharacteristic
277C22×C8C23×C311yescharacteristic
278C22×C8C23×C311yescharacteristic
279C22×C8C23×C311yescharacteristic
280#121—22no—
281#121C3×Q814yes—
282C4×D4—41no—
283C4×D4—41no—
284C4×D4—44no—
285#117—22no—
286#117—22no—
287#117—41no—
288#117—41no—
289C2×C4⋊C4—21no—
290C2×C4⋊C4—21no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—21no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4C23×C311yescharacteristic
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×C42—21no—
309C2×C42—21no—
310C2×C42—21no—
311C2×C42—41no—
312C2×C42—41no—
313C2×C42C3×D411yescharacteristic
314C2×C42C3×D411yescharacteristic
315C2×C42C23×C311yescharacteristic
316C2×C42C23×C311yescharacteristic
317#107—22no—
318#107—41no—
319#106—22no—
320#106—41no—
321C4⋊C8—41no—
322C4⋊C8—41no—
323#102—22no—
324#102—22no—
325#102—41no—
326#102—41no—
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×C3C22⋊Q812yes—
350C23×C3C22×D411yescharacteristic
351C3×D4—22no—
352C3×D4—22no—
353C3×D4—48no—
354C3×D4—41no—
355C3×D4—41no—
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—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—44no—
376C2×C3×C4—44no—
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—84no—
396C2×C3×C4C22⋊Q812yes—
397C2×C3×C4#13512yes—
398C2×C3×C4AGL(1,ℤ/8)12yes—
399C2×C3×C4C22×Q811yescharacteristic
400C2×C3×C4C2×#4111yescharacteristic
401C2×C3×C4C2×#4111yescharacteristic
402C2×C3×C4C2×#4111yescharacteristic
403C2×C3×C4H(5,𝔽2)11yescharacteristic
404C2×C3×C4H(5,𝔽2)11yescharacteristic
405C3×C8—41no—
406C3×C8—41no—
407C3×C8—41no—
408C3×C8—41no—
409C24—21no—
410C24C2×C3×D411yescharacteristic
411C2×D4—24no—
412C2×D4—21no—
413C2×D4—21no—
414C2×D4—21no—
415C2×D4—21no—
416C2×D4—21no—
417C2×D4—42no—
418C2×D4—42no—
419C2×D4C2×C3×Q812yes—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—41no—
434C22×C4—41no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—42no—
438C22×C4—42no—
439C22×C4—42no—
440C22×C4C2×C3×D411yescharacteristic
441C22×C4C2×C3×D411yescharacteristic
442C22×C4C2×C3×D411yescharacteristic
443C22×C4C2×C3×D411yescharacteristic
444C22×C4C2×C3×D411yescharacteristic
445C22×C4C2×C3×Q812yes—
446C22×C4C3×#4112yes—
447C22×C4C24×C311yescharacteristic
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×C8—21no—
458C2×C8—21no—
459C2×C8—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—42no—
473C4⋊C4—42no—
474C4⋊C4—42no—
475C4⋊C4—42no—
476C4⋊C4C2×C3×Q812yes—
477C4⋊C4C3×#4112yes—
478C4⋊C4C3×#4112yes—
479C22⋊C4—24no—
480C22⋊C4—24no—
481C22⋊C4—42no—
482C22⋊C4—42no—
483C22⋊C4—42no—
484C22⋊C4—42no—
485C22⋊C4—42no—
486C42—24no—
487C42—21no—
488C42—21no—
489C42—21no—
490C42—21no—
491C42—41no—
492C42—41no—
493C42—42no—
494C42—42no—
495C22×C3—22no—
496C22×C3—22no—
497C22×C3—22no—
498C22×C3—41no—
499C22×C3—41no—
500C22×C3—41no—
501C22×C3—41no—
502C22×C3—42no—
503C22×C3—42no—
504C22×C3—42no—
505C22×C3—81no—
506C22×C3—81no—
507C22×C3—81no—
508C22×C3—81no—
509C22×C3C2×C22⋊Q811yescharacteristic
510C22×C3#52511yescharacteristic
511C22×C3#53411yescharacteristic
512C22×C3C2×#13511yescharacteristic
513C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
514C22×C3#57511yescharacteristic
515C22×C3#57511yescharacteristic
516C3×C4—22no—
517C3×C4—22no—
518C3×C4—22no—
519C3×C4—42no—
520C3×C4—42no—
521C3×C4—42no—
522C3×C4—41no—
523C3×C4—41no—
524C3×C4—81no—
525C3×C4—81no—
526C3×C4—81no—
527C3×C4—81no—
528C3×C4#55311yescharacteristic
529C3×C4#55311yescharacteristic
530C3×C4#55411yescharacteristic
531C3×C4#55411yescharacteristic
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—22no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23C3×C22⋊Q812yes—
546C23C22×C3×D411yescharacteristic
547D4—22no—
548D4—22no—
549D4—48no—
550D4—41no—
551D4—41no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—44no—
572C2×C4—44no—
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—84no—
592C2×C4C3×C22⋊Q812yes—
593C2×C4C3×#13512yes—
594C2×C4C3×AGL(1,ℤ/8)12yes—
595C2×C4C22×C3×Q811yescharacteristic
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—41no—
602C8—41no—
603C8—41no—
604C8—41no—
605C2×C3—42no—
606C2×C3—82no—
607C2×C3#257911yescharacteristic
608C2×C3#307611yescharacteristic
609C2×C3#307711yescharacteristic
610C2×C3#310211yescharacteristic
611C2×C3#311511yescharacteristic
612C2×C3#318811yescharacteristic
613C2×C3#319711yescharacteristic
614C22—22no—
615C22—22no—
616C22—22no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22C2×C3×C22⋊Q811yescharacteristic
629C22C3×#52511yescharacteristic
630C22C3×#53411yescharacteristic
631C22C2×C3×#13511yescharacteristic
632C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
633C22C3×#57511yescharacteristic
634C22C3×#57511yescharacteristic
635C4—22no—
636C4—22no—
637C4—22no—
638C4—41no—
639C4—41no—
640C4—42no—
641C4—42no—
642C4—42no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4C3×#55311yescharacteristic
648C4C3×#55311yescharacteristic
649C4C3×#55411yescharacteristic
650C4C3×#55411yescharacteristic
651C3#2923911yescharacteristic, direct product factor, Sylow
652C2—42no—
653C2—82no—
654C2C3×#257911yescharacteristic
655C2C3×#307611yescharacteristic
656C2C3×#307711yescharacteristic
657C2C3×#310211yescharacteristic
658C2C3×#311511yescharacteristic
659C2C3×#318811yescharacteristic
660C2C3×#319711yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C22×C3×C42 ◁ G

Complements

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

NH ≅ G/Ntype
2. C3×#2296C2semidirect
3. C3×#2088C2semidirect
4. C3×#2086C2semidirect
5. C3×#2067C2semidirect
6. C3×#2065C2semidirect
7. C3×#1921C2semidirect
8. C3×#1919C2semidirect
11. C3×#1864C2semidirect
12. C3×#1862C2semidirect
13. C3×#1854C2semidirect
14. C3×#1854C2semidirect
15. C3×#1797C2semidirect
16. #29239C3direct (N × H)
61. #2296C2×C3semidirect
62. #2088C2×C3semidirect
63. #2086C2×C3semidirect
64. #2067C2×C3semidirect
65. #2065C2×C3semidirect
66. #1921C2×C3semidirect
67. #1919C2×C3semidirect
70. #1864C2×C3semidirect
71. #1862C2×C3semidirect
72. #1854C2×C3semidirect
73. #1854C2×C3semidirect
74. #1797C2×C3semidirect
651. C3#29239direct (N × H)

Maximal subgroups

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

subgroupindex
C3×C4×#1212
C3×#22962
C3×#20882
C3×#20862
C3×#20672
C3×#20652
C3×#19212
C3×#19192
C3×#18752
C3×#18642
C3×#18622
C3×#18542
C3×#17972
#292393