Finite Group Databasebeta

← C3×#26820 #10645427

Subgroups — C3×#26820 #10645427

Order 768.

854 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#487C211yesmaximal, characteristic, complemented
2C2×C3×C4×SD16C211yesmaximal, characteristic
3C3×#2452C211yesmaximal, characteristic
4C3×#2446C211yesmaximal, characteristic, complemented
5C3×#2066C211yesmaximal, characteristic, complemented
6C3×#2058C211yesmaximal, characteristic, complemented
7C3×#2055C211yesmaximal, characteristic
8C3×#2013C211yesmaximal, characteristic
9C3×#1968C211yesmaximal, characteristic
10C3×#1934C211yesmaximal, characteristic
11C3×#1933C211yesmaximal, characteristic, complemented
12C3×#1933C211yesmaximal, characteristic, complemented
13C3×#1877C211yesmaximal, characteristic
14C3×#1865C211yesmaximal, characteristic, complemented
15C3×C8×C4⋊C4C211yesmaximal, characteristic, complemented
16#26820C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×SD16C2211yescharacteristic
18C22×C3×SD16C2211yescharacteristic
19C2×C3×C4⋊Q8C2211yescharacteristic
20C2×C3×C4⋊Q8C2211yescharacteristic
21C2×C3×C22⋊Q8—21no—
22C2×C3×C4×Q8C2211yescharacteristic
23C2×C3×C4×D4C2211yescharacteristic
24C3×#487—24no—
25C3×C4×SD16—24no—
26C2×C3×#106C2211yescharacteristic
27C2×C3×#106C2211yescharacteristic
28C2×C3×C4⋊C8C2211yescharacteristic
29C2×C3×#103C2211yescharacteristic
30C2×C3×#103C2211yescharacteristic
31C2×C3×#103C2211yescharacteristic
32C2×C3×#103C2211yescharacteristic
33C2×C3×#103C2211yescharacteristic
34C2×C3×#103C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×#102C2211yescharacteristic
37C2×C3×C4×C8C2211yescharacteristic
38C2×C3×C4×C8C2211yescharacteristic
39C2×C3×C4×C8C2211yescharacteristic
40C3×#400—21no—
41C3×#398—21no—
42C3×#396—21no—
43C3×#393—21no—
44C3×#391C2211yescharacteristic
45C3×#391C2211yescharacteristic
46C3×#391C2211yescharacteristic
47C3×#390C2211yescharacteristic
48C3×#390C2211yescharacteristic
49C3×#389C2211yescharacteristic
50C3×#389C2211yescharacteristic
51C3×#389C2211yescharacteristic
52C3×#387—21no—
53C3×#387—21no—
54C3×#385—21no—
55C3×C4×C4⋊C4C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#487C2×C311yescharacteristic, complemented
63C2×C4×SD16C2×C311yescharacteristic
64#2452C2×C311yescharacteristic
65#2446C2×C311yescharacteristic, complemented
66#2066C2×C311yescharacteristic, complemented
67#2058C2×C311yescharacteristic, complemented
68#2055C2×C311yescharacteristic
69#2013C2×C311yescharacteristic
70#1968C2×C311yescharacteristic
71#1934C2×C311yescharacteristic
72#1933C2×C311yescharacteristic, complemented
73#1933C2×C311yescharacteristic, complemented
74#1877C2×C311yescharacteristic
75#1865C2×C311yescharacteristic, complemented
76C8×C4⋊C4C2×C311yescharacteristic, complemented
77C22×C3×Q8—21no—
78C22×C3×Q8C2311yescharacteristic
79C22×C3×Q8C2311yescharacteristic
80C22×C3×D4C2311yescharacteristic
81C23×C3×C4—21no—
82C2×C3×SD16—22no—
83C2×C3×SD16—22no—
84C2×C3×SD16—22no—
85C2×C3×SD16—22no—
86C2×C3×SD16—22no—
87C2×C3×SD16—41no—
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C3×C4⋊Q8—22no—
93C3×C4⋊Q8—22no—
94C3×C4⋊Q8—41no—
95C3×C4⋊Q8—41no—
96C3×C22⋊Q8—44no—
97C3×C4×Q8—22no—
98C3×C4×Q8—41no—
99C3×C4×D4—22no—
100C3×C4×D4—41no—
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—21no—
107C2×C3×C4⋊C4—21no—
108C2×C3×C4⋊C4D411yescharacteristic
109C2×C3×C4⋊C4D411yescharacteristic
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×C42—21no—
121C2×C3×C42C2311yescharacteristic
122C2×C3×C42C2311yescharacteristic
123C2×C3×C42C2311yescharacteristic
124C3×#106—22no—
125C3×#106—41no—
126C3×C4⋊C8—22no—
127C3×#103—22no—
128C3×#103—22no—
129C3×#103—22no—
130C3×#103—22no—
131C3×#103—22no—
132C3×#103D414yes—
133C3×#102—22no—
134C3×#102—22no—
135C3×C4×C8—22no—
136C3×C4×C8—22no—
137C3×C4×C8—22no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95—21no—
142C3×#95—21no—
143C3×#95—21no—
144C3×#95—21no—
145C3×#95—21no—
146C3×#95—21no—
147C3×#95D411yescharacteristic
148C3×#95D411yescharacteristic
149C22×SD16C22×C311yescharacteristic
150C22×SD16C22×C311yescharacteristic
151C2×C4⋊Q8C22×C311yescharacteristic
152C2×C4⋊Q8C22×C311yescharacteristic
153C2×C22⋊Q8—21no—
154C2×C4×Q8C22×C311yescharacteristic
155C2×C4×D4C22×C311yescharacteristic
156#487—24no—
157C4×SD16—24no—
158C2×#106C22×C311yescharacteristic
159C2×#106C22×C311yescharacteristic
160C2×C4⋊C8C22×C311yescharacteristic
161C2×#103C22×C311yescharacteristic
162C2×#103C22×C311yescharacteristic
163C2×#103C22×C311yescharacteristic
164C2×#103C22×C311yescharacteristic
165C2×#103C22×C311yescharacteristic
166C2×#103C22×C311yescharacteristic
167C2×#102C22×C311yescharacteristic
168C2×#102C22×C311yescharacteristic
169C2×C4×C8C22×C311yescharacteristic
170C2×C4×C8C22×C311yescharacteristic
171C2×C4×C8C22×C311yescharacteristic
172#400—21no—
173#398—21no—
174#396—21no—
175#393—21no—
176#391C22×C311yescharacteristic
177#391C22×C311yescharacteristic
178#391C22×C311yescharacteristic
179#390C22×C311yescharacteristic
180#390C22×C311yescharacteristic
181#389C22×C311yescharacteristic
182#389C22×C311yescharacteristic
183#389C22×C311yescharacteristic
184#387—21no—
185#387—21no—
186#385—21no—
187C4×C4⋊C4C22×C311yescharacteristic
188#340C22×C311yescharacteristic
189#340C22×C311yescharacteristic
190#340C22×C311yescharacteristic
191#340C22×C311yescharacteristic
192#336C22×C311yescharacteristic
193#336C22×C311yescharacteristic
194C24×C3—21no—
195C2×C3×Q8—21no—
196C2×C3×Q8—21no—
197C2×C3×Q8—21no—
198C2×C3×Q8—21no—
199C2×C3×Q8—21no—
200C2×C3×Q8—21no—
201C2×C3×Q8—21no—
202C2×C3×Q8—21no—
203C2×C3×Q8—21no—
204C2×C3×Q8—21no—
205C2×C3×Q8—21no—
206C2×C3×Q8—42no—
207C2×C3×Q8—42no—
208C2×C3×Q8—81no—
209C2×C3×Q8C2×D412yes—
210C2×C3×D4—21no—
211C2×C3×D4—21no—
212C2×C3×D4—21no—
213C2×C3×D4—21no—
214C2×C3×D4—21no—
215C2×C3×D4#4112yes—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—42no—
224C22×C3×C4—42no—
225C22×C3×C4—81no—
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2411yescharacteristic
233C3×SD16—28no—
234C3×SD16—44no—
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×C8C2×D412yes—
245C2×C3×C8#4112yes—
246C2×C3×C8#4112yes—
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—42no—
258C3×C4⋊C4—42no—
259C3×C4⋊C4—42no—
260C3×C4⋊C4—42no—
261C3×C4⋊C4—42no—
262C3×C4⋊C4—42no—
263C3×C4⋊C4—42no—
264C3×C4⋊C4SD1614yescomplemented
265C3×C4⋊C4C2×D412yes—
266C3×C22⋊C4—42no—
267C3×C22⋊C4—42no—
268C3×C22⋊C4—42no—
269C3×C22⋊C4—42no—
270C3×C22⋊C4—81no—
271C3×C42—21no—
272C3×C42—21no—
273C3×C42—21no—
274C3×C42—21no—
275C3×C42—21no—
276C3×C42—21no—
277C3×C42—42no—
278C22×Q8—21no—
279C22×Q8C23×C311yescharacteristic
280C22×Q8C23×C311yescharacteristic
281C22×D4C23×C311yescharacteristic
282C23×C4—21no—
283C2×SD16—22no—
284C2×SD16—22no—
285C2×SD16—22no—
286C2×SD16—22no—
287C2×SD16—22no—
288C2×SD16—41no—
289C22×C8C23×C311yescharacteristic
290C22×C8C23×C311yescharacteristic
291C22×C8C23×C311yescharacteristic
292C22×C8C23×C311yescharacteristic
293C4⋊Q8—22no—
294C4⋊Q8—22no—
295C4⋊Q8—41no—
296C4⋊Q8—41no—
297C22⋊Q8—44no—
298C4×Q8—22no—
299C4×Q8—41no—
300C4×D4—22no—
301C4×D4—41no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4C3×D411yescharacteristic
310C2×C4⋊C4C3×D411yescharacteristic
311C2×C4⋊C4C23×C311yescharacteristic
312C2×C4⋊C4C23×C311yescharacteristic
313C2×C4⋊C4C23×C311yescharacteristic
314C2×C4⋊C4C23×C311yescharacteristic
315C2×C4⋊C4C23×C311yescharacteristic
316C2×C22⋊C4—21no—
317C2×C22⋊C4—21no—
318C2×C22⋊C4—21no—
319C2×C22⋊C4—21no—
320C2×C22⋊C4—21no—
321C2×C42—21no—
322C2×C42C23×C311yescharacteristic
323C2×C42C23×C311yescharacteristic
324C2×C42C23×C311yescharacteristic
325#106—22no—
326#106—41no—
327C4⋊C8—22no—
328#103—22no—
329#103—22no—
330#103—22no—
331#103—22no—
332#103—22no—
333#103C3×D414yes—
334#102—22no—
335#102—22no—
336C4×C8—22no—
337C4×C8—22no—
338C4×C8—22no—
339#95—21no—
340#95—21no—
341#95—21no—
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—41no—
352C23×C3—41no—
353C23×C3—41no—
354C23×C3—41no—
355C23×C3—41no—
356C23×C3—41no—
357C23×C3C22×D411yescharacteristic
358C3×Q8—22no—
359C3×Q8—22no—
360C3×Q8—41no—
361C3×Q8—41no—
362C3×Q8—41no—
363C3×Q8—41no—
364C3×Q8—41no—
365C3×Q8—41no—
366C3×Q8—84no—
367C3×D4—22no—
368C3×D4—22no—
369C3×D4—41no—
370C3×D4—41no—
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—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
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—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—84no—
407C2×C3×C4C2×SD1612yes—
408C2×C3×C4C2×SD1612yes—
409C2×C3×C4C2×SD1612yes—
410C2×C3×C4#13512yes—
411C2×C3×C4C22×D411yescharacteristic
412C2×C3×C4C2×#4111yescharacteristic
413C2×C3×C4C2×#4111yescharacteristic
414C2×C3×C4C2×#4111yescharacteristic
415C2×C3×C4H(5,𝔽2)11yescharacteristic
416C2×C3×C42−1+411yescharacteristic
417C3×C8—22no—
418C3×C8—22no—
419C3×C8—22no—
420C3×C8—41no—
421C24—21no—
422C2×Q8—21no—
423C2×Q8—21no—
424C2×Q8—21no—
425C2×Q8—21no—
426C2×Q8—21no—
427C2×Q8—21no—
428C2×Q8—21no—
429C2×Q8—21no—
430C2×Q8—21no—
431C2×Q8—21no—
432C2×Q8—21no—
433C2×Q8—42no—
434C2×Q8—42no—
435C2×Q8—81no—
436C2×Q8C2×C3×D412yes—
437C2×D4—21no—
438C2×D4—21no—
439C2×D4—21no—
440C2×D4—21no—
441C2×D4—21no—
442C2×D4C3×#4112yes—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—42no—
451C22×C4—42no—
452C22×C4—81no—
453C22×C4C2×C3×D411yescharacteristic
454C22×C4C2×C3×D411yescharacteristic
455C22×C4C2×C3×D411yescharacteristic
456C22×C4C2×C3×D411yescharacteristic
457C22×C4C2×C3×D411yescharacteristic
458C22×C4C2×C3×D411yescharacteristic
459C22×C4C24×C311yescharacteristic
460SD16—28no—
461SD16—44no—
462C2×C8—21no—
463C2×C8—21no—
464C2×C8—21no—
465C2×C8—21no—
466C2×C8—21no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8C2×C3×D412yes—
472C2×C8C3×#4112yes—
473C2×C8C3×#4112yes—
474C4⋊C4—22no—
475C4⋊C4—21no—
476C4⋊C4—21no—
477C4⋊C4—21no—
478C4⋊C4—21no—
479C4⋊C4—21no—
480C4⋊C4—21no—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—42no—
485C4⋊C4—42no—
486C4⋊C4—42no—
487C4⋊C4—42no—
488C4⋊C4—42no—
489C4⋊C4—42no—
490C4⋊C4—42no—
491C4⋊C4C3×SD1614yescomplemented
492C4⋊C4C2×C3×D412yes—
493C22⋊C4—42no—
494C22⋊C4—42no—
495C22⋊C4—42no—
496C22⋊C4—42no—
497C22⋊C4—81no—
498C42—21no—
499C42—21no—
500C42—21no—
501C42—21no—
502C42—21no—
503C42—21no—
504C42—42no—
505C22×C3—42no—
506C22×C3—42no—
507C22×C3—42no—
508C22×C3—81no—
509C22×C3—81no—
510C22×C3—81no—
511C22×C3—81no—
512C22×C3#53211yescharacteristic
513C22×C3D4211yescharacteristic
514C22×C3#54811yescharacteristic
515C22×C3C22×SD1611yescharacteristic
516C22×C3C2×#13511yescharacteristic
517C22×C3#57711yescharacteristic
518C22×C3#57811yescharacteristic
519C3×C4—22no—
520C3×C4—22no—
521C3×C4—22no—
522C3×C4—22no—
523C3×C4—41no—
524C3×C4—42no—
525C3×C4—42no—
526C3×C4—41no—
527C3×C4—81no—
528C3×C4—81no—
529C3×C4—81no—
530C3×C4—81no—
531C3×C4—81no—
532C3×C4#52511yescharacteristic
533C3×C4#54211yescharacteristic
534C3×C4#54711yescharacteristic
535C3×C4#55111yescharacteristic
536C23—22no—
537C23—41no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23C22×C3×D411yescharacteristic
544Q8—22no—
545Q8—22no—
546Q8—41no—
547Q8—41no—
548Q8—41no—
549Q8—41no—
550Q8—41no—
551Q8—41no—
552Q8—84no—
553D4—22no—
554D4—22no—
555D4—41no—
556D4—41no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—22no—
572C2×C4—22no—
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—41no—
592C2×C4—84no—
593C2×C4C2×C3×SD1612yes—
594C2×C4C2×C3×SD1612yes—
595C2×C4C2×C3×SD1612yes—
596C2×C4C3×#13512yes—
597C2×C4C22×C3×D411yescharacteristic
598C2×C4C2×C3×#4111yescharacteristic
599C2×C4C2×C3×#4111yescharacteristic
600C2×C4C2×C3×#4111yescharacteristic
601C2×C4C3×H(5,𝔽2)11yescharacteristic
602C2×C4C3×2−1+411yescharacteristic
603C8—22no—
604C8—22no—
605C8—22no—
606C8—41no—
607C2×C3—82no—
608C2×C3#246111yescharacteristic
609C2×C3#316711yescharacteristic
610C2×C3#317811yescharacteristic
611C2×C3D4×SD1611yescharacteristic
612C2×C3#328511yescharacteristic
613C2×C3#335911yescharacteristic
614C2×C3#336011yescharacteristic
615C22—42no—
616C22—42no—
617C22—42no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22C3×#53211yescharacteristic
623C22C3×D4211yescharacteristic
624C22C3×#54811yescharacteristic
625C22C22×C3×SD1611yescharacteristic
626C22C2×C3×#13511yescharacteristic
627C22C3×#57711yescharacteristic
628C22C3×#57811yescharacteristic
629C4—22no—
630C4—22no—
631C4—22no—
632C4—22no—
633C4—41no—
634C4—42no—
635C4—42no—
636C4—41no—
637C4—81no—
638C4—81no—
639C4—81no—
640C4—81no—
641C4—81no—
642C4C3×#52511yescharacteristic
643C4C3×#54211yescharacteristic
644C4C3×#54711yescharacteristic
645C4C3×#55111yescharacteristic
646C3#2682011yescharacteristic, direct product factor, Sylow
647C2—82no—
648C2C3×#246111yescharacteristic
649C2C3×#316711yescharacteristic
650C2C3×#317811yescharacteristic
651C2C3×D4×SD1611yescharacteristic
652C2C3×#328511yescharacteristic
653C2C3×#335911yescharacteristic
654C2C3×#336011yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC22×C3×D4C23
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×#487C2semidirect
4. C3×#2446C2semidirect
5. C3×#2066C2semidirect
6. C3×#2058C2semidirect
11. C3×#1933C2semidirect
12. C3×#1933C2semidirect
14. C3×#1865C2semidirect
15. C3×C8×C4⋊C4C2semidirect
16. #26820C3direct (N × H)
62. C2×#487C2×C3semidirect
65. #2446C2×C3semidirect
66. #2066C2×C3semidirect
67. #2058C2×C3semidirect
72. #1933C2×C3semidirect
73. #1933C2×C3semidirect
75. #1865C2×C3semidirect
76. C8×C4⋊C4C2×C3semidirect
264. C3×C4⋊C4SD16semidirect
491. C4⋊C4C3×SD16semidirect
646. C3#26820direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4872
C2×C3×C4×SD162
C3×#24522
C3×#24462
C3×#20662
C3×#20582
C3×#20552
C3×#20132
C3×#19682
C3×#19342
C3×#19332
C3×#18772
C3×#18652
C3×C8×C4⋊C42
#268203