Finite Group Databasebeta

← C3×#26409 #10645016

Subgroups — C3×#26409 #10645016

Order 768.

802 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2439C211yesmaximal, characteristic, complemented
2C3×#2363C211yesmaximal, characteristic
3C3×#2101C211yesmaximal, characteristic, complemented
4C3×#2088C211yesmaximal, characteristic, complemented
5C3×#2065C211yesmaximal, characteristic, complemented
6C3×#2023C211yesmaximal, characteristic, complemented
7C3×#1988C211yesmaximal, characteristic, complemented
8C3×#1921C211yesmaximal, characteristic, complemented
9C3×#1893C211yesmaximal, characteristic
10C3×#1875C211yesmaximal, characteristic
11C3×#1862C211yesmaximal, characteristic, complemented
12C3×#1854C211yesmaximal, characteristic, complemented
13C3×#1850C211yesmaximal, characteristic, complemented
14C3×#1804C211yesmaximal, characteristic, complemented
15C3×#1735C211yesmaximal, characteristic, complemented
16#26409C311yesmaximal, characteristic, direct product factor, Sylow
17C23×C3×C8C2211yescharacteristic
18C2×C3×C4⋊Q8C2211yescharacteristic
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×#396—21no—
33C3×#393—21no—
34C3×#391—21no—
35C3×#390—21no—
36C3×#390C2211yescharacteristic
37C3×#389C2211yescharacteristic
38C3×#389C2211yescharacteristic
39C3×#389C2211yescharacteristic
40C3×#388—21no—
41C3×#387—21no—
42C3×#386—21no—
43C3×#382C2211yescharacteristic
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#2439C2×C311yescharacteristic, complemented
61#2363C2×C311yescharacteristic
62#2101C2×C311yescharacteristic, complemented
63#2088C2×C311yescharacteristic, complemented
64#2065C2×C311yescharacteristic, complemented
65#2023C2×C311yescharacteristic, complemented
66#1988C2×C311yescharacteristic, complemented
67#1921C2×C311yescharacteristic, complemented
68#1893C2×C311yescharacteristic
69#1875C2×C311yescharacteristic
70#1862C2×C311yescharacteristic, complemented
71#1854C2×C311yescharacteristic, complemented
72#1850C2×C311yescharacteristic, complemented
73#1804C2×C311yescharacteristic, complemented
74#1735C2×C311yescharacteristic, complemented
75C22×C3×Q8—21no—
76C22×C3×D4—21no—
77C22×C3×D4C2311yescharacteristic
78C23×C3×C4—21no—
79C23×C3×C4C2311yescharacteristic
80C22×C3×C8—22no—
81C22×C3×C8—41no—
82C22×C3×C8—41no—
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C3×C4⋊Q8—22no—
88C3×C4⋊Q8—41no—
89C3×#121—22no—
90C3×#121Q814yescomplemented
91C3×C4×D4—22no—
92C3×C4×D4—41no—
93C3×#117—22no—
94C3×#117—22no—
95C3×#117—41no—
96C3×#117—41no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C4⋊C4C2311yescharacteristic
107C2×C3×C4⋊C4C2311yescharacteristic
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×C22⋊C4—21no—
114C2×C3×C22⋊C4—21no—
115C2×C3×C22⋊C4D411yescharacteristic
116C2×C3×C22⋊C4D411yescharacteristic
117C2×C3×C42—21no—
118C2×C3×C42—21no—
119C2×C3×C42—21no—
120C2×C3×C42C2311yescharacteristic
121C2×C3×C42C2311yescharacteristic
122C3×#107—22no—
123C3×#106—41no—
124C3×C4⋊C8—41no—
125C3×C4⋊C8—41no—
126C3×#102—22no—
127C3×#102—41no—
128C3×#102—41no—
129C3×#102—41no—
130C3×C22⋊C8—22no—
131C3×#95—21no—
132C3×#95—21no—
133C3×#95—21no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95D411yescharacteristic
139C3×#95D411yescharacteristic
140C23×C8C22×C311yescharacteristic
141C2×C4⋊Q8C22×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#396—21no—
156#393—21no—
157#391—21no—
158#390—21no—
159#390C22×C311yescharacteristic
160#389C22×C311yescharacteristic
161#389C22×C311yescharacteristic
162#389C22×C311yescharacteristic
163#388—21no—
164#387—21no—
165#386—21no—
166#382C22×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×Q8—42no—
186C2×C3×Q8—42no—
187C2×C3×Q8—81no—
188C2×C3×D4—24no—
189C2×C3×D4—21no—
190C2×C3×D4—21no—
191C2×C3×D4—21no—
192C2×C3×D4—21no—
193C2×C3×D4—21no—
194C2×C3×D4—81no—
195C2×C3×D4—81no—
196C2×C3×D4C2×Q812yes—
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—21no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—42no—
209C22×C3×C4—42no—
210C22×C3×C4—81no—
211C22×C3×C4C2×D411yescharacteristic
212C22×C3×C4C2×D411yescharacteristic
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×Q812yes—
217C22×C3×C4#4112yes—
218C22×C3×C4C2411yescharacteristic
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—21no—
229C2×C3×C8—21no—
230C2×C3×C8—21no—
231C2×C3×C8—44no—
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—21no—
241C3×C4⋊C4—21no—
242C3×C4⋊C4—21no—
243C3×C4⋊C4—42no—
244C3×C4⋊C4—42no—
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×Q8—21no—
267C22×D4—21no—
268C22×D4C23×C311yescharacteristic
269C23×C4—21no—
270C23×C4C23×C311yescharacteristic
271C22×C8—22no—
272C22×C8—41no—
273C22×C8—41no—
274C22×C8C23×C311yescharacteristic
275C22×C8C23×C311yescharacteristic
276C22×C8C23×C311yescharacteristic
277C22×C8C23×C311yescharacteristic
278C4⋊Q8—22no—
279C4⋊Q8—41no—
280#121—22no—
281#121C3×Q814yescomplemented
282C4×D4—22no—
283C4×D4—41no—
284#117—22no—
285#117—22no—
286#117—41no—
287#117—41no—
288C2×C4⋊C4—21no—
289C2×C4⋊C4—21no—
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×C4⋊C4C23×C311yescharacteristic
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×C22⋊C4C3×D411yescharacteristic
307C2×C22⋊C4C3×D411yescharacteristic
308C2×C42—21no—
309C2×C42—21no—
310C2×C42—21no—
311C2×C42C23×C311yescharacteristic
312C2×C42C23×C311yescharacteristic
313#107—22no—
314#106—41no—
315C4⋊C8—41no—
316C4⋊C8—41no—
317#102—22no—
318#102—41no—
319#102—41no—
320#102—41no—
321C22⋊C8—22no—
322#95—21no—
323#95—21no—
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×Q8—84no—
347C3×D4—22no—
348C3×D4—22no—
349C3×D4—41no—
350C3×D4—41no—
351C3×D4—84no—
352C2×C3×C4—21no—
353C2×C3×C4—21no—
354C2×C3×C4—21no—
355C2×C3×C4—21no—
356C2×C3×C4—22no—
357C2×C3×C4—22no—
358C2×C3×C4—22no—
359C2×C3×C4—22no—
360C2×C3×C4—22no—
361C2×C3×C4—21no—
362C2×C3×C4—21no—
363C2×C3×C4—21no—
364C2×C3×C4—22no—
365C2×C3×C4—22no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—21no—
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—41no—
390C2×C3×C4—84no—
391C2×C3×C4C22⋊Q812yes—
392C2×C3×C4#13512yes—
393C2×C3×C4C22×Q811yescharacteristic
394C2×C3×C4C2×#4111yescharacteristic
395C2×C3×C4C2×#4111yescharacteristic
396C2×C3×C4C2×#4111yescharacteristic
397C2×C3×C4H(5,𝔽2)11yescharacteristic
398C2×C3×C4H(5,𝔽2)11yescharacteristic
399C3×C8—41no—
400C3×C8—41no—
401C3×C8—41no—
402C3×C8—41no—
403C24—21no—
404C24C2×C3×D411yescharacteristic
405C2×Q8—42no—
406C2×Q8—42no—
407C2×Q8—81no—
408C2×D4—24no—
409C2×D4—21no—
410C2×D4—21no—
411C2×D4—21no—
412C2×D4—21no—
413C2×D4—21no—
414C2×D4—81no—
415C2×D4—81no—
416C2×D4C2×C3×Q812yes—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—42no—
429C22×C4—42no—
430C22×C4—81no—
431C22×C4C2×C3×D411yescharacteristic
432C22×C4C2×C3×D411yescharacteristic
433C22×C4C2×C3×D411yescharacteristic
434C22×C4C2×C3×D411yescharacteristic
435C22×C4C2×C3×D411yescharacteristic
436C22×C4C2×C3×Q812yes—
437C22×C4C3×#4112yes—
438C22×C4C24×C311yescharacteristic
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—21no—
448C2×C8—21no—
449C2×C8—21no—
450C2×C8—21no—
451C2×C8—44no—
452C4⋊C4—21no—
453C4⋊C4—21no—
454C4⋊C4—21no—
455C4⋊C4—21no—
456C4⋊C4—21no—
457C4⋊C4—21no—
458C4⋊C4—21no—
459C4⋊C4—21no—
460C4⋊C4—21no—
461C4⋊C4—21no—
462C4⋊C4—21no—
463C4⋊C4—42no—
464C4⋊C4—42no—
465C4⋊C4—81no—
466C4⋊C4—81no—
467C4⋊C4C2×C3×Q812yes—
468C4⋊C4C3×#4112yes—
469C4⋊C4C3×#4112yes—
470C22⋊C4—24no—
471C22⋊C4—22no—
472C22⋊C4—41no—
473C22⋊C4—42no—
474C22⋊C4—42no—
475C22⋊C4—42no—
476C22⋊C4—42no—
477C22⋊C4—81no—
478C22⋊C4—81no—
479C42—21no—
480C42—21no—
481C42—21no—
482C42—21no—
483C42—42no—
484C42—42no—
485C42—81no—
486C22×C3—22no—
487C22×C3—22no—
488C22×C3—22no—
489C22×C3—41no—
490C22×C3—41no—
491C22×C3—41no—
492C22×C3—41no—
493C22×C3—42no—
494C22×C3—42no—
495C22×C3—42no—
496C22×C3—81no—
497C22×C3—81no—
498C22×C3—81no—
499C22×C3—81no—
500C22×C3C2×C22⋊Q811yescharacteristic
501C22×C3#54611yescharacteristic
502C22×C3#54611yescharacteristic
503C22×C3C2×#13511yescharacteristic
504C22×C3#57511yescharacteristic
505C22×C3#57611yescharacteristic
506C22×C3#57711yescharacteristic
507C3×C4—22no—
508C3×C4—22no—
509C3×C4—42no—
510C3×C4—42no—
511C3×C4—41no—
512C3×C4—41no—
513C3×C4—42no—
514C3×C4—41no—
515C3×C4—81no—
516C3×C4—81no—
517C3×C4—81no—
518C3×C4—81no—
519C3×C4#52911yescharacteristic
520C3×C4#53811yescharacteristic
521C3×C4#55411yescharacteristic
522C3×C4#55411yescharacteristic
523C23—21no—
524C23—21no—
525C23—21no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—22no—
530C23—41no—
531C23—41no—
532C23—41no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23C3×C22⋊Q812yes—
537C23C22×C3×D411yescharacteristic
538Q8—84no—
539D4—22no—
540D4—22no—
541D4—41no—
542D4—41no—
543D4—84no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—22no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—22no—
563C2×C4—22no—
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—41no—
581C2×C4—41no—
582C2×C4—84no—
583C2×C4C3×C22⋊Q812yes—
584C2×C4C3×#13512yes—
585C2×C4C22×C3×Q811yescharacteristic
586C2×C4C2×C3×#4111yescharacteristic
587C2×C4C2×C3×#4111yescharacteristic
588C2×C4C2×C3×#4111yescharacteristic
589C2×C4C3×H(5,𝔽2)11yescharacteristic
590C2×C4C3×H(5,𝔽2)11yescharacteristic
591C8—41no—
592C8—41no—
593C8—41no—
594C8—41no—
595C2×C3—42no—
596C2×C3—82no—
597C2×C3#245011yescharacteristic
598C2×C3#307611yescharacteristic
599C2×C3#308111yescharacteristic
600C2×C3#329711yescharacteristic
601C2×C3#330411yescharacteristic
602C2×C3#331911yescharacteristic
603C2×C3#332111yescharacteristic
604C22—22no—
605C22—22no—
606C22—22no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—42no—
612C22—42no—
613C22—42no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22C2×C3×C22⋊Q811yescharacteristic
619C22C3×#54611yescharacteristic
620C22C3×#54611yescharacteristic
621C22C2×C3×#13511yescharacteristic
622C22C3×#57511yescharacteristic
623C22C3×#57611yescharacteristic
624C22C3×#57711yescharacteristic
625C4—22no—
626C4—22no—
627C4—42no—
628C4—41no—
629C4—41no—
630C4—42no—
631C4—41no—
632C4—42no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4C3×#52911yescharacteristic
638C4C3×#53811yescharacteristic
639C4C3×#55411yescharacteristic
640C4C3×#55411yescharacteristic
641C3#2640911yescharacteristic, direct product factor, Sylow
642C2—42no—
643C2—82no—
644C2C3×#245011yescharacteristic
645C2C3×#307611yescharacteristic
646C2C3×#308111yescharacteristic
647C2C3×#329711yescharacteristic
648C2C3×#330411yescharacteristic
649C2C3×#331911yescharacteristic
650C2C3×#332111yescharacteristic
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×#2439C2semidirect
3. C3×#2101C2semidirect
4. C3×#2088C2semidirect
5. C3×#2065C2semidirect
6. C3×#2023C2semidirect
7. C3×#1988C2semidirect
8. C3×#1921C2semidirect
11. C3×#1862C2semidirect
12. C3×#1854C2semidirect
13. C3×#1850C2semidirect
14. C3×#1804C2semidirect
15. C3×#1735C2semidirect
16. #26409C3direct (N × H)
60. #2439C2×C3semidirect
62. #2101C2×C3semidirect
63. #2088C2×C3semidirect
64. #2065C2×C3semidirect
65. #2023C2×C3semidirect
66. #1988C2×C3semidirect
67. #1921C2×C3semidirect
70. #1862C2×C3semidirect
71. #1854C2×C3semidirect
72. #1850C2×C3semidirect
73. #1804C2×C3semidirect
74. #1735C2×C3semidirect
90. C3×#121Q8semidirect
281. #121C3×Q8semidirect
641. C3#26409direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#24392
C3×#23632
C3×#21012
C3×#20882
C3×#20652
C3×#20232
C3×#19882
C3×#19212
C3×#18932
C3×#18752
C3×#18622
C3×#18542
C3×#18502
C3×#18042
C3×#17352
#264093