Finite Group Databasebeta

← C3×#26421 #10645028

Subgroups — C3×#26421 #10645028

Order 768.

794 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2441C211yesmaximal, characteristic, complemented
2C3×#2363C211yesmaximal, characteristic
3C3×#2100C211yesmaximal, characteristic, complemented
4C3×#2088C211yesmaximal, characteristic, complemented
5C3×#2065C211yesmaximal, characteristic, complemented
6C3×#2025C211yesmaximal, characteristic, complemented
7C3×#1989C211yesmaximal, characteristic, complemented
8C3×#1918C211yesmaximal, characteristic, complemented
9C3×#1893C211yesmaximal, characteristic
10C3×#1875C211yesmaximal, characteristic
11C3×#1862C211yesmaximal, characteristic, complemented
12C3×#1854C211yesmaximal, characteristic, complemented
13C3×#1850C211yesmaximal, characteristic, complemented
14C3×#1802C211yesmaximal, characteristic, complemented
15C3×#1735C211yesmaximal, characteristic, complemented
16#26421C311yesmaximal, characteristic, direct product factor, Sylow
17C23×C3×C8C2211yescharacteristic
18C2×C3×#125C2211yescharacteristic
19C2×C3×#121C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21C2×C3×#117C2211yescharacteristic
22C2×C3×#117C2211yescharacteristic
23C2×C3×#107C2211yescharacteristic
24C2×C3×#106C2211yescharacteristic
25C2×C3×C4⋊C8C2211yescharacteristic
26C2×C3×C4⋊C8C2211yescharacteristic
27C2×C3×#102C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×C22⋊C8C2211yescharacteristic
32C3×#399—21no—
33C3×#396—21no—
34C3×#390—21no—
35C3×#390C2211yescharacteristic
36C3×#389—21no—
37C3×#389C2211yescharacteristic
38C3×#389C2211yescharacteristic
39C3×#389C2211yescharacteristic
40C3×#388—21no—
41C3×#387—21no—
42C3×#386—21no—
43C3×#384C2211yescharacteristic
44C3×#380C2211yescharacteristic
45C3×C4×C4⋊C4C2211yescharacteristic
46C3×C4×C22⋊C4—21no—
47C3×C4×C22⋊C4C2211yescharacteristic
48C3×#340C2211yescharacteristic
49C3×#340C2211yescharacteristic
50C3×#340C2211yescharacteristic
51C3×#340C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2441C2×C311yescharacteristic, complemented
61#2363C2×C311yescharacteristic
62#2100C2×C311yescharacteristic, complemented
63#2088C2×C311yescharacteristic, complemented
64#2065C2×C311yescharacteristic, complemented
65#2025C2×C311yescharacteristic, complemented
66#1989C2×C311yescharacteristic, complemented
67#1918C2×C311yescharacteristic, complemented
68#1893C2×C311yescharacteristic
69#1875C2×C311yescharacteristic
70#1862C2×C311yescharacteristic, complemented
71#1854C2×C311yescharacteristic, complemented
72#1850C2×C311yescharacteristic, complemented
73#1802C2×C311yescharacteristic, complemented
74#1735C2×C311yescharacteristic, complemented
75C22×C3×D4—21no—
76C22×C3×D4C2311yescharacteristic
77C23×C3×C4—21no—
78C23×C3×C4C2311yescharacteristic
79C22×C3×C8—22no—
80C22×C3×C8—41no—
81C22×C3×C8—41no—
82C22×C3×C8C2311yescharacteristic
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C3×#125—22no—
87C3×#125—41no—
88C3×#121—22no—
89C3×#121Q814yes—
90C3×C4×D4—22no—
91C3×C4×D4—41no—
92C3×#117—22no—
93C3×#117—22no—
94C3×#117—41no—
95C3×#117—41no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4—21no—
103C2×C3×C4⋊C4C2311yescharacteristic
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×#107—22no—
125C3×#106—41no—
126C3×C4⋊C8—41no—
127C3×C4⋊C8—41no—
128C3×#102—22no—
129C3×#102—41no—
130C3×#102—41no—
131C3×#102—41no—
132C3×C22⋊C8—22no—
133C3×#95—21no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95D411yescharacteristic
139C3×#95D411yescharacteristic
140C23×C8C22×C311yescharacteristic
141C2×#125C22×C311yescharacteristic
142C2×#121C22×C311yescharacteristic
143C2×C4×D4C22×C311yescharacteristic
144C2×#117C22×C311yescharacteristic
145C2×#117C22×C311yescharacteristic
146C2×#107C22×C311yescharacteristic
147C2×#106C22×C311yescharacteristic
148C2×C4⋊C8C22×C311yescharacteristic
149C2×C4⋊C8C22×C311yescharacteristic
150C2×#102C22×C311yescharacteristic
151C2×#102C22×C311yescharacteristic
152C2×#102C22×C311yescharacteristic
153C2×#102C22×C311yescharacteristic
154C2×C22⋊C8C22×C311yescharacteristic
155#399—21no—
156#396—21no—
157#390—21no—
158#390C22×C311yescharacteristic
159#389—21no—
160#389C22×C311yescharacteristic
161#389C22×C311yescharacteristic
162#389C22×C311yescharacteristic
163#388—21no—
164#387—21no—
165#386—21no—
166#384C22×C311yescharacteristic
167#380C22×C311yescharacteristic
168C4×C4⋊C4C22×C311yescharacteristic
169C4×C22⋊C4—21no—
170C4×C22⋊C4C22×C311yescharacteristic
171#340C22×C311yescharacteristic
172#340C22×C311yescharacteristic
173#340C22×C311yescharacteristic
174#340C22×C311yescharacteristic
175#340C22×C311yescharacteristic
176#340C22×C311yescharacteristic
177#340C22×C311yescharacteristic
178#340C22×C311yescharacteristic
179#340C22×C311yescharacteristic
180#340C22×C311yescharacteristic
181#336C22×C311yescharacteristic
182#336C22×C311yescharacteristic
183C24×C3—21no—
184C24×C3C2×D411yescharacteristic
185C2×C3×D4—24no—
186C2×C3×D4—21no—
187C2×C3×D4—21no—
188C2×C3×D4—21no—
189C2×C3×D4—21no—
190C2×C3×D4—21no—
191C2×C3×D4—81no—
192C2×C3×D4—81no—
193C2×C3×D4C2×Q812yes—
194C22×C3×C4—21no—
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—21no—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—42no—
206C22×C3×C4—42no—
207C22×C3×C4—81no—
208C22×C3×C4C2×D411yescharacteristic
209C22×C3×C4C2×D411yescharacteristic
210C22×C3×C4C2×D411yescharacteristic
211C22×C3×C4C2×D411yescharacteristic
212C22×C3×C4C2×D411yescharacteristic
213C22×C3×C4C2×Q812yes—
214C22×C3×C4#4112yes—
215C22×C3×C4C2411yescharacteristic
216C2×C3×C8—21no—
217C2×C3×C8—21no—
218C2×C3×C8—21no—
219C2×C3×C8—21no—
220C2×C3×C8—21no—
221C2×C3×C8—21no—
222C2×C3×C8—21no—
223C2×C3×C8—21no—
224C2×C3×C8—21no—
225C2×C3×C8—21no—
226C2×C3×C8—21no—
227C2×C3×C8—21no—
228C2×C3×C8—44no—
229C3×C4⋊C4—21no—
230C3×C4⋊C4—21no—
231C3×C4⋊C4—21no—
232C3×C4⋊C4—21no—
233C3×C4⋊C4—21no—
234C3×C4⋊C4—21no—
235C3×C4⋊C4—21no—
236C3×C4⋊C4—21no—
237C3×C4⋊C4—21no—
238C3×C4⋊C4—21no—
239C3×C4⋊C4—21no—
240C3×C4⋊C4—42no—
241C3×C4⋊C4—42no—
242C3×C4⋊C4—42no—
243C3×C4⋊C4—42no—
244C3×C4⋊C4—81no—
245C3×C4⋊C4—81no—
246C3×C4⋊C4—81no—
247C3×C4⋊C4C2×Q812yes—
248C3×C4⋊C4#4112yes—
249C3×C4⋊C4#4112yes—
250C3×C22⋊C4—24no—
251C3×C22⋊C4—22no—
252C3×C22⋊C4—41no—
253C3×C22⋊C4—42no—
254C3×C22⋊C4—42no—
255C3×C22⋊C4—42no—
256C3×C22⋊C4—42no—
257C3×C22⋊C4—81no—
258C3×C22⋊C4—81no—
259C3×C42—21no—
260C3×C42—21no—
261C3×C42—21no—
262C3×C42—21no—
263C3×C42—42no—
264C3×C42—42no—
265C3×C42—81no—
266C22×D4—21no—
267C22×D4C23×C311yescharacteristic
268C23×C4—21no—
269C23×C4C23×C311yescharacteristic
270C22×C8—22no—
271C22×C8—41no—
272C22×C8—41no—
273C22×C8C23×C311yescharacteristic
274C22×C8C23×C311yescharacteristic
275C22×C8C23×C311yescharacteristic
276C22×C8C23×C311yescharacteristic
277#125—22no—
278#125—41no—
279#121—22no—
280#121C3×Q814yes—
281C4×D4—22no—
282C4×D4—41no—
283#117—22no—
284#117—22no—
285#117—41no—
286#117—41no—
287C2×C4⋊C4—21no—
288C2×C4⋊C4—21no—
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×C22⋊C4C3×D411yescharacteristic
309C2×C22⋊C4C3×D411yescharacteristic
310C2×C42—21no—
311C2×C42—21no—
312C2×C42—21no—
313C2×C42C23×C311yescharacteristic
314C2×C42C23×C311yescharacteristic
315#107—22no—
316#106—41no—
317C4⋊C8—41no—
318C4⋊C8—41no—
319#102—22no—
320#102—41no—
321#102—41no—
322#102—41no—
323C22⋊C8—22no—
324#95—21no—
325#95—21no—
326#95—21no—
327#95—21no—
328#95—21no—
329#95C3×D411yescharacteristic
330#95C3×D411yescharacteristic
331C23×C3—21no—
332C23×C3—21no—
333C23×C3—21no—
334C23×C3—21no—
335C23×C3—21no—
336C23×C3—21no—
337C23×C3—22no—
338C23×C3—41no—
339C23×C3—41no—
340C23×C3—41no—
341C23×C3—41no—
342C23×C3—41no—
343C23×C3—41no—
344C23×C3C22⋊Q812yes—
345C23×C3C22×D411yescharacteristic
346C3×D4—22no—
347C3×D4—22no—
348C3×D4—41no—
349C3×D4—41no—
350C3×D4—84no—
351C2×C3×C4—21no—
352C2×C3×C4—21no—
353C2×C3×C4—21no—
354C2×C3×C4—21no—
355C2×C3×C4—22no—
356C2×C3×C4—22no—
357C2×C3×C4—22no—
358C2×C3×C4—22no—
359C2×C3×C4—22no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—21no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—41no—
372C2×C3×C4—41no—
373C2×C3×C4—41no—
374C2×C3×C4—41no—
375C2×C3×C4—41no—
376C2×C3×C4—41no—
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—84no—
390C2×C3×C4C22⋊Q812yes—
391C2×C3×C4#13512yes—
392C2×C3×C4C22×Q811yescharacteristic
393C2×C3×C4C2×#4111yescharacteristic
394C2×C3×C4C2×#4111yescharacteristic
395C2×C3×C4C2×#4111yescharacteristic
396C2×C3×C4H(5,𝔽2)11yescharacteristic
397C2×C3×C4H(5,𝔽2)11yescharacteristic
398C3×C8—41no—
399C3×C8—41no—
400C3×C8—41no—
401C3×C8—41no—
402C24—21no—
403C24C2×C3×D411yescharacteristic
404C2×D4—24no—
405C2×D4—21no—
406C2×D4—21no—
407C2×D4—21no—
408C2×D4—21no—
409C2×D4—21no—
410C2×D4—81no—
411C2×D4—81no—
412C2×D4C2×C3×Q812yes—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—42no—
425C22×C4—42no—
426C22×C4—81no—
427C22×C4C2×C3×D411yescharacteristic
428C22×C4C2×C3×D411yescharacteristic
429C22×C4C2×C3×D411yescharacteristic
430C22×C4C2×C3×D411yescharacteristic
431C22×C4C2×C3×D411yescharacteristic
432C22×C4C2×C3×Q812yes—
433C22×C4C3×#4112yes—
434C22×C4C24×C311yescharacteristic
435C2×C8—21no—
436C2×C8—21no—
437C2×C8—21no—
438C2×C8—21no—
439C2×C8—21no—
440C2×C8—21no—
441C2×C8—21no—
442C2×C8—21no—
443C2×C8—21no—
444C2×C8—21no—
445C2×C8—21no—
446C2×C8—21no—
447C2×C8—44no—
448C4⋊C4—21no—
449C4⋊C4—21no—
450C4⋊C4—21no—
451C4⋊C4—21no—
452C4⋊C4—21no—
453C4⋊C4—21no—
454C4⋊C4—21no—
455C4⋊C4—21no—
456C4⋊C4—21no—
457C4⋊C4—21no—
458C4⋊C4—21no—
459C4⋊C4—42no—
460C4⋊C4—42no—
461C4⋊C4—42no—
462C4⋊C4—42no—
463C4⋊C4—81no—
464C4⋊C4—81no—
465C4⋊C4—81no—
466C4⋊C4C2×C3×Q812yes—
467C4⋊C4C3×#4112yes—
468C4⋊C4C3×#4112yes—
469C22⋊C4—24no—
470C22⋊C4—22no—
471C22⋊C4—41no—
472C22⋊C4—42no—
473C22⋊C4—42no—
474C22⋊C4—42no—
475C22⋊C4—42no—
476C22⋊C4—81no—
477C22⋊C4—81no—
478C42—21no—
479C42—21no—
480C42—21no—
481C42—21no—
482C42—42no—
483C42—42no—
484C42—81no—
485C22×C3—22no—
486C22×C3—22no—
487C22×C3—22no—
488C22×C3—41no—
489C22×C3—41no—
490C22×C3—41no—
491C22×C3—41no—
492C22×C3—42no—
493C22×C3—42no—
494C22×C3—42no—
495C22×C3—81no—
496C22×C3—81no—
497C22×C3—81no—
498C22×C3—81no—
499C22×C3C2×C22⋊Q811yescharacteristic
500C22×C3#54611yescharacteristic
501C22×C3#54611yescharacteristic
502C22×C3C2×#13511yescharacteristic
503C22×C3#57511yescharacteristic
504C22×C3#57611yescharacteristic
505C22×C3#57711yescharacteristic
506C3×C4—22no—
507C3×C4—22no—
508C3×C4—42no—
509C3×C4—42no—
510C3×C4—41no—
511C3×C4—42no—
512C3×C4—41no—
513C3×C4—41no—
514C3×C4—81no—
515C3×C4—81no—
516C3×C4—81no—
517C3×C4—81no—
518C3×C4#52911yescharacteristic
519C3×C4#53811yescharacteristic
520C3×C4#55411yescharacteristic
521C3×C4#55411yescharacteristic
522C23—21no—
523C23—21no—
524C23—21no—
525C23—21no—
526C23—21no—
527C23—21no—
528C23—22no—
529C23—41no—
530C23—41no—
531C23—41no—
532C23—41no—
533C23—41no—
534C23—41no—
535C23C3×C22⋊Q812yes—
536C23C22×C3×D411yescharacteristic
537D4—22no—
538D4—22no—
539D4—41no—
540D4—41no—
541D4—84no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—22no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
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—84no—
581C2×C4C3×C22⋊Q812yes—
582C2×C4C3×#13512yes—
583C2×C4C22×C3×Q811yescharacteristic
584C2×C4C2×C3×#4111yescharacteristic
585C2×C4C2×C3×#4111yescharacteristic
586C2×C4C2×C3×#4111yescharacteristic
587C2×C4C3×H(5,𝔽2)11yescharacteristic
588C2×C4C3×H(5,𝔽2)11yescharacteristic
589C8—41no—
590C8—41no—
591C8—41no—
592C8—41no—
593C2×C3—42no—
594C2×C3—82no—
595C2×C3#245011yescharacteristic
596C2×C3#307611yescharacteristic
597C2×C3#308111yescharacteristic
598C2×C3#329711yescharacteristic
599C2×C3#330311yescharacteristic
600C2×C3#330911yescharacteristic
601C2×C3#331711yescharacteristic
602C22—22no—
603C22—22no—
604C22—22no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—42no—
610C22—42no—
611C22—42no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22C2×C3×C22⋊Q811yescharacteristic
617C22C3×#54611yescharacteristic
618C22C3×#54611yescharacteristic
619C22C2×C3×#13511yescharacteristic
620C22C3×#57511yescharacteristic
621C22C3×#57611yescharacteristic
622C22C3×#57711yescharacteristic
623C4—22no—
624C4—22no—
625C4—42no—
626C4—41no—
627C4—42no—
628C4—41no—
629C4—41no—
630C4—42no—
631C4—81no—
632C4—81no—
633C4—81no—
634C4—81no—
635C4C3×#52911yescharacteristic
636C4C3×#53811yescharacteristic
637C4C3×#55411yescharacteristic
638C4C3×#55411yescharacteristic
639C3#2642111yescharacteristic, direct product factor, Sylow
640C2—42no—
641C2—82no—
642C2C3×#245011yescharacteristic
643C2C3×#307611yescharacteristic
644C2C3×#308111yescharacteristic
645C2C3×#329711yescharacteristic
646C2C3×#330311yescharacteristic
647C2C3×#330911yescharacteristic
648C2C3×#331711yescharacteristic
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
1. C3×#2441C2semidirect
3. C3×#2100C2semidirect
4. C3×#2088C2semidirect
5. C3×#2065C2semidirect
6. C3×#2025C2semidirect
7. C3×#1989C2semidirect
8. C3×#1918C2semidirect
11. C3×#1862C2semidirect
12. C3×#1854C2semidirect
13. C3×#1850C2semidirect
14. C3×#1802C2semidirect
15. C3×#1735C2semidirect
16. #26421C3direct (N × H)
60. #2441C2×C3semidirect
62. #2100C2×C3semidirect
63. #2088C2×C3semidirect
64. #2065C2×C3semidirect
65. #2025C2×C3semidirect
66. #1989C2×C3semidirect
67. #1918C2×C3semidirect
70. #1862C2×C3semidirect
71. #1854C2×C3semidirect
72. #1850C2×C3semidirect
73. #1802C2×C3semidirect
74. #1735C2×C3semidirect
639. C3#26421direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#24412
C3×#23632
C3×#21002
C3×#20882
C3×#20652
C3×#20252
C3×#19892
C3×#19182
C3×#18932
C3×#18752
C3×#18622
C3×#18542
C3×#18502
C3×#18022
C3×#17352
#264213