Finite Group Databasebeta

← C3×#26724 #10645331

Subgroups — C3×#26724 #10645331

Order 768.

826 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2491C211yesmaximal, characteristic
2C3×#2360C211yesmaximal, characteristic, complemented
3C3×#2055C211yesmaximal, characteristic, complemented
4C3×#2035C211yesmaximal, characteristic, complemented
5C3×#2024C211yesmaximal, characteristic, complemented
6C3×#2000C211yesmaximal, characteristic
7C3×#1988C211yesmaximal, characteristic, complemented
8C3×#1934C211yesmaximal, characteristic, complemented
9C3×#1926C211yesmaximal, characteristic, complemented
10C3×#1923C211yesmaximal, characteristic, complemented
11C3×#1920C211yesmaximal, characteristic, complemented
12C3×#1880C211yesmaximal, characteristic, complemented
13C3×#1874C211yesmaximal, characteristic
14C3×#1824C211yesmaximal, characteristic, complemented
15C3×C4×#103C211yesmaximal, characteristic, complemented
16#26724C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×SD16C2211yescharacteristic
18C2×C3×C4⋊Q8C2211yescharacteristic
19C2×C3×#124—21no—
20C2×C3×C22⋊Q8C2211yescharacteristic
21C2×C3×#121C2211yescharacteristic
22C2×C3×C4×Q8C2211yescharacteristic
23C22×C3×C4⋊C4C2211yescharacteristic
24C2×C3×#106C2211yescharacteristic
25C2×C3×C4⋊C8C2211yescharacteristic
26C2×C3×#103C2211yescharacteristic
27C2×C3×#103C2211yescharacteristic
28C2×C3×#103C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C2×C3×C22⋊C8C2211yescharacteristic
33C2×C3×C22⋊C8C2211yescharacteristic
34C2×C3×C4×C8C2211yescharacteristic
35C3×#394—21no—
36C3×#393—21no—
37C3×#391C2211yescharacteristic
38C3×#390C2211yescharacteristic
39C3×#390C2211yescharacteristic
40C3×#389—21no—
41C3×#389C2211yescharacteristic
42C3×#388—21no—
43C3×#387—21no—
44C3×#385—21no—
45C3×#380C2211yescharacteristic
46C3×C4×C4⋊C4C2211yescharacteristic
47C3×C4×C4⋊C4C2211yescharacteristic
48C3×C4×C22⋊C4—21no—
49C3×C4×C22⋊C4C2211yescharacteristic
50C3×#340C2211yescharacteristic
51C3×#340C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2491C2×C311yescharacteristic
61#2360C2×C311yescharacteristic, complemented
62#2055C2×C311yescharacteristic, complemented
63#2035C2×C311yescharacteristic, complemented
64#2024C2×C311yescharacteristic, complemented
65#2000C2×C311yescharacteristic
66#1988C2×C311yescharacteristic, complemented
67#1934C2×C311yescharacteristic, complemented
68#1926C2×C311yescharacteristic, complemented
69#1923C2×C311yescharacteristic, complemented
70#1920C2×C311yescharacteristic, complemented
71#1880C2×C311yescharacteristic, complemented
72#1874C2×C311yescharacteristic
73#1824C2×C311yescharacteristic, complemented
74C4×#103C2×C311yescharacteristic, complemented
75C22×C3×Q8—21no—
76C22×C3×Q8C2311yescharacteristic
77C22×C3×D4—21no—
78C22×C3×D4C2311yescharacteristic
79C23×C3×C4—21no—
80C23×C3×C4C2311yescharacteristic
81C2×C3×SD16—22no—
82C2×C3×SD16—41no—
83C2×C3×SD16—41no—
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C3×C4⋊Q8—22no—
89C3×C4⋊Q8—41no—
90C3×#124—44no—
91C3×C22⋊Q8—22no—
92C3×C22⋊Q8—22no—
93C3×#121—22no—
94C3×#121—41no—
95C3×C4×Q8—22no—
96C3×C4×Q8—41no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—22no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4—21no—
103C2×C3×C4⋊C4—41no—
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×C22⋊C4—21no—
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×C42—21no—
122C2×C3×C42C2311yescharacteristic
123C2×C3×C42C2311yescharacteristic
124C3×#106—22no—
125C3×C4⋊C8—41no—
126C3×#103—22no—
127C3×#103—22no—
128C3×#103—41no—
129C3×#102—22no—
130C3×#102—22no—
131C3×#102—41no—
132C3×C22⋊C8—41no—
133C3×C22⋊C8—41no—
134C3×C4×C8—41no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95D411yescharacteristic
142C3×#95D411yescharacteristic
143C22×SD16C22×C311yescharacteristic
144C2×C4⋊Q8C22×C311yescharacteristic
145C2×#124—21no—
146C2×C22⋊Q8C22×C311yescharacteristic
147C2×#121C22×C311yescharacteristic
148C2×C4×Q8C22×C311yescharacteristic
149C22×C4⋊C4C22×C311yescharacteristic
150C2×#106C22×C311yescharacteristic
151C2×C4⋊C8C22×C311yescharacteristic
152C2×#103C22×C311yescharacteristic
153C2×#103C22×C311yescharacteristic
154C2×#103C22×C311yescharacteristic
155C2×#102C22×C311yescharacteristic
156C2×#102C22×C311yescharacteristic
157C2×#102C22×C311yescharacteristic
158C2×C22⋊C8C22×C311yescharacteristic
159C2×C22⋊C8C22×C311yescharacteristic
160C2×C4×C8C22×C311yescharacteristic
161#394—21no—
162#393—21no—
163#391C22×C311yescharacteristic
164#390C22×C311yescharacteristic
165#390C22×C311yescharacteristic
166#389—21no—
167#389C22×C311yescharacteristic
168#388—21no—
169#387—21no—
170#385—21no—
171#380C22×C311yescharacteristic
172C4×C4⋊C4C22×C311yescharacteristic
173C4×C4⋊C4C22×C311yescharacteristic
174C4×C22⋊C4—21no—
175C4×C22⋊C4C22×C311yescharacteristic
176#340C22×C311yescharacteristic
177#340C22×C311yescharacteristic
178#340C22×C311yescharacteristic
179#340C22×C311yescharacteristic
180#340C22×C311yescharacteristic
181#340C22×C311yescharacteristic
182#340C22×C311yescharacteristic
183#340C22×C311yescharacteristic
184#336C22×C311yescharacteristic
185#336C22×C311yescharacteristic
186C24×C3—21no—
187C24×C3C2×D411yescharacteristic
188C2×C3×Q8—21no—
189C2×C3×Q8—21no—
190C2×C3×Q8—21no—
191C2×C3×Q8—21no—
192C2×C3×Q8—21no—
193C2×C3×Q8—42no—
194C2×C3×Q8—42no—
195C2×C3×Q8—81no—
196C2×C3×Q8#4112yes—
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—42no—
204C2×C3×D4—42no—
205C2×C3×D4—81no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—42no—
220C22×C3×C4—42no—
221C22×C3×C4—81no—
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2411yescharacteristic
228C3×SD16—44no—
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×C8—21no—
236C2×C3×C8—21no—
237C2×C3×C8—21no—
238C2×C3×C8—21no—
239C2×C3×C8—21no—
240C2×C3×C8—21no—
241C3×C4⋊C4—24no—
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—21no—
251C3×C4⋊C4—42no—
252C3×C4⋊C4—42no—
253C3×C4⋊C4—42no—
254C3×C4⋊C4—81no—
255C3×C4⋊C4#4112yes—
256C3×C4⋊C4#4112yes—
257C3×C4⋊C4#4112yes—
258C3×C22⋊C4—24no—
259C3×C22⋊C4—41no—
260C3×C22⋊C4—42no—
261C3×C22⋊C4—42no—
262C3×C22⋊C4—42no—
263C3×C22⋊C4—42no—
264C3×C22⋊C4—42no—
265C3×C22⋊C4—81no—
266C3×C22⋊C4SD1614yescomplemented
267C3×C42—21no—
268C3×C42—21no—
269C3×C42—21no—
270C3×C42—21no—
271C3×C42—42no—
272C3×C42—42no—
273C3×C42—81no—
274C22×Q8—21no—
275C22×Q8C23×C311yescharacteristic
276C22×D4—21no—
277C22×D4C23×C311yescharacteristic
278C23×C4—21no—
279C23×C4C23×C311yescharacteristic
280C2×SD16—22no—
281C2×SD16—41no—
282C2×SD16—41no—
283C22×C8C23×C311yescharacteristic
284C22×C8C23×C311yescharacteristic
285C22×C8C23×C311yescharacteristic
286C22×C8C23×C311yescharacteristic
287C4⋊Q8—22no—
288C4⋊Q8—41no—
289#124—44no—
290C22⋊Q8—22no—
291C22⋊Q8—22no—
292#121—22no—
293#121—41no—
294C4×Q8—22no—
295C4×Q8—41no—
296C2×C4⋊C4—21no—
297C2×C4⋊C4—22no—
298C2×C4⋊C4—21no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—21no—
302C2×C4⋊C4—41no—
303C2×C4⋊C4C23×C311yescharacteristic
304C2×C4⋊C4C23×C311yescharacteristic
305C2×C4⋊C4C23×C311yescharacteristic
306C2×C4⋊C4C23×C311yescharacteristic
307C2×C4⋊C4C23×C311yescharacteristic
308C2×C4⋊C4C23×C311yescharacteristic
309C2×C22⋊C4—21no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C22⋊C4—21no—
314C2×C22⋊C4—21no—
315C2×C22⋊C4—21no—
316C2×C22⋊C4C3×D411yescharacteristic
317C2×C22⋊C4C3×D411yescharacteristic
318C2×C42—21no—
319C2×C42—21no—
320C2×C42—21no—
321C2×C42C23×C311yescharacteristic
322C2×C42C23×C311yescharacteristic
323#106—22no—
324C4⋊C8—41no—
325#103—22no—
326#103—22no—
327#103—41no—
328#102—22no—
329#102—22no—
330#102—41no—
331C22⋊C8—41no—
332C22⋊C8—41no—
333C4×C8—41no—
334#95—21no—
335#95—21no—
336#95—21no—
337#95—21no—
338#95—21no—
339#95—21no—
340#95C3×D411yescharacteristic
341#95C3×D411yescharacteristic
342C23×C3—21no—
343C23×C3—21no—
344C23×C3—21no—
345C23×C3—21no—
346C23×C3—21no—
347C23×C3—21no—
348C23×C3—41no—
349C23×C3—41no—
350C23×C3—41no—
351C23×C3—41no—
352C23×C3—41no—
353C23×C3—41no—
354C23×C3—41no—
355C23×C3C2×SD1612yes—
356C23×C3C22×D411yescharacteristic
357C3×Q8—22no—
358C3×Q8—22no—
359C3×Q8—41no—
360C3×Q8—41no—
361C3×Q8—84no—
362C3×D4—41no—
363C3×D4—41no—
364C3×D4—41no—
365C3×D4—41no—
366C3×D4—84no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—22no—
372C2×C3×C4—22no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—22no—
377C2×C3×C4—21no—
378C2×C3×C4—22no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—21no—
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—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—84no—
406C2×C3×C4C2×SD1612yes—
407C2×C3×C4C2×SD1612yes—
408C2×C3×C4C2×#4111yescharacteristic
409C2×C3×C4C2×#4111yescharacteristic
410C2×C3×C4C2×#4111yescharacteristic
411C2×C3×C4C2×#4111yescharacteristic
412C2×C3×C4H(5,𝔽2)11yescharacteristic
413C2×C3×C4H(5,𝔽2)11yescharacteristic
414C3×C8—41no—
415C3×C8—41no—
416C3×C8—41no—
417C3×C8—41no—
418C24—21no—
419C24C2×C3×D411yescharacteristic
420C2×Q8—21no—
421C2×Q8—21no—
422C2×Q8—21no—
423C2×Q8—21no—
424C2×Q8—21no—
425C2×Q8—42no—
426C2×Q8—42no—
427C2×Q8—81no—
428C2×Q8C3×#4112yes—
429C2×D4—21no—
430C2×D4—21no—
431C2×D4—21no—
432C2×D4—21no—
433C2×D4—21no—
434C2×D4—21no—
435C2×D4—42no—
436C2×D4—42no—
437C2×D4—81no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—42no—
452C22×C4—42no—
453C22×C4—81no—
454C22×C4C2×C3×D411yescharacteristic
455C22×C4C2×C3×D411yescharacteristic
456C22×C4C2×C3×D411yescharacteristic
457C22×C4C2×C3×D411yescharacteristic
458C22×C4C2×C3×D411yescharacteristic
459C22×C4C24×C311yescharacteristic
460SD16—44no—
461C2×C8—21no—
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×C8—21no—
472C2×C8—21no—
473C4⋊C4—24no—
474C4⋊C4—21no—
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—42no—
484C4⋊C4—42no—
485C4⋊C4—42no—
486C4⋊C4—81no—
487C4⋊C4C3×#4112yes—
488C4⋊C4C3×#4112yes—
489C4⋊C4C3×#4112yes—
490C22⋊C4—24no—
491C22⋊C4—41no—
492C22⋊C4—42no—
493C22⋊C4—42no—
494C22⋊C4—42no—
495C22⋊C4—42no—
496C22⋊C4—42no—
497C22⋊C4—81no—
498C22⋊C4C3×SD1614yescomplemented
499C42—21no—
500C42—21no—
501C42—21no—
502C42—21no—
503C42—42no—
504C42—42no—
505C42—81no—
506C22×C3—22no—
507C22×C3—22no—
508C22×C3—22no—
509C22×C3—41no—
510C22×C3—41no—
511C22×C3—41no—
512C22×C3—41no—
513C22×C3—81no—
514C22×C3—81no—
515C22×C3—81no—
516C22×C3—81no—
517C22×C3—81no—
518C22×C3—81no—
519C22×C3—81no—
520C22×C3#52511yescharacteristic
521C22×C3#54611yescharacteristic
522C22×C3#54611yescharacteristic
523C22×C3C22×SD1611yescharacteristic
524C22×C3#57511yescharacteristic
525C22×C3#57611yescharacteristic
526C22×C3#57811yescharacteristic
527C3×C4—22no—
528C3×C4—22no—
529C3×C4—42no—
530C3×C4—41no—
531C3×C4—42no—
532C3×C4—42no—
533C3×C4—41no—
534C3×C4—42no—
535C3×C4—41no—
536C3×C4—81no—
537C3×C4—81no—
538C3×C4—81no—
539C3×C4#52911yescharacteristic
540C3×C4#53811yescharacteristic
541C3×C4#55511yescharacteristic
542C3×C4#55911yescharacteristic
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23C2×C3×SD1612yes—
557C23C22×C3×D411yescharacteristic
558Q8—22no—
559Q8—22no—
560Q8—41no—
561Q8—41no—
562Q8—84no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—84no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—21no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
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—84no—
607C2×C4C2×C3×SD1612yes—
608C2×C4C2×C3×SD1612yes—
609C2×C4C2×C3×#4111yescharacteristic
610C2×C4C2×C3×#4111yescharacteristic
611C2×C4C2×C3×#4111yescharacteristic
612C2×C4C2×C3×#4111yescharacteristic
613C2×C4C3×H(5,𝔽2)11yescharacteristic
614C2×C4C3×H(5,𝔽2)11yescharacteristic
615C8—41no—
616C8—41no—
617C8—41no—
618C8—41no—
619C2×C3—42no—
620C2×C3—161no—
621C2×C3#245911yescharacteristic
622C2×C3#310311yescharacteristic
623C2×C3#312411yescharacteristic
624C2×C3#329511yescharacteristic
625C2×C3#329811yescharacteristic
626C2×C3#331911yescharacteristic
627C2×C3#332711yescharacteristic
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22C3×#52511yescharacteristic
643C22C3×#54611yescharacteristic
644C22C3×#54611yescharacteristic
645C22C22×C3×SD1611yescharacteristic
646C22C3×#57511yescharacteristic
647C22C3×#57611yescharacteristic
648C22C3×#57811yescharacteristic
649C4—22no—
650C4—22no—
651C4—41no—
652C4—42no—
653C4—42no—
654C4—41no—
655C4—42no—
656C4—41no—
657C4—42no—
658C4—81no—
659C4—81no—
660C4—81no—
661C4C3×#52911yescharacteristic
662C4C3×#53811yescharacteristic
663C4C3×#55511yescharacteristic
664C4C3×#55911yescharacteristic
665C3#2672411yescharacteristic, direct product factor, Sylow
666C2—42no—
667C2—161no—
668C2C3×#245911yescharacteristic
669C2C3×#310311yescharacteristic
670C2C3×#312411yescharacteristic
671C2C3×#329511yescharacteristic
672C2C3×#329811yescharacteristic
673C2C3×#331911yescharacteristic
674C2C3×#332711yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C4×C22⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
2. C3×#2360C2semidirect
3. C3×#2055C2semidirect
4. C3×#2035C2semidirect
5. C3×#2024C2semidirect
7. C3×#1988C2semidirect
8. C3×#1934C2semidirect
9. C3×#1926C2semidirect
10. C3×#1923C2semidirect
11. C3×#1920C2semidirect
12. C3×#1880C2semidirect
14. C3×#1824C2semidirect
15. C3×C4×#103C2semidirect
16. #26724C3direct (N × H)
61. #2360C2×C3semidirect
62. #2055C2×C3semidirect
63. #2035C2×C3semidirect
64. #2024C2×C3semidirect
66. #1988C2×C3semidirect
67. #1934C2×C3semidirect
68. #1926C2×C3semidirect
69. #1923C2×C3semidirect
70. #1920C2×C3semidirect
71. #1880C2×C3semidirect
73. #1824C2×C3semidirect
74. C4×#103C2×C3semidirect
266. C3×C22⋊C4SD16semidirect
498. C22⋊C4C3×SD16semidirect
665. C3#26724direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#24912
C3×#23602
C3×#20552
C3×#20352
C3×#20242
C3×#20002
C3×#19882
C3×#19342
C3×#19262
C3×#19232
C3×#19202
C3×#18802
C3×#18742
C3×#18242
C3×C4×#1032
#267243