Finite Group Databasebeta

← C3×#78037 #11824468

Subgroups — C3×#78037 #11824468

Order 1152.

1445 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#896C212yesmaximal, complemented
2C2×C3×#888C211yesmaximal, characteristic, complemented
3C2×C3×#67⋊C4C211yesmaximal, characteristic
4C2×C3×#878C212yesmaximal, complemented
5C32×#399C211yesmaximal, characteristic, complemented
6C3×#4993C211yesmaximal, characteristic, complemented
7C3×#4975C212yesmaximal, complemented
8C3×#4957C212yesmaximal
9C3×#4949C211yesmaximal, characteristic, complemented
10C3×#4677C211yesmaximal, characteristic, complemented
11C3×#4649C211yesmaximal, characteristic, complemented
12C3×#2542—31nomaximal
13#78037C311yesmaximal, characteristic, direct product factor
14C22×C3×#67C2211yescharacteristic
15C23×C3×Dic3C2211yescharacteristic
16C22×C3×C4×D3C2211yescharacteristic
17C22×C3×Dic6C2212yes—
18C2×C32×C4⋊C4C2211yescharacteristic
19C2×C32×C4⋊C4C2212yes—
20C2×C32×C22⋊C4C2211yescharacteristic
21C2×C32×C22⋊C4C2212yes—
22C2×C3×#217C2212yes—
23C2×C3×(C2×D3)⋊C4C2212yes—
24C2×C3×(C2×D3)⋊C4C2212yes—
25C2×C3×(C2×D3)⋊C4C2211yescharacteristic
26C2×C3×C4⋊Dic3C2211yescharacteristic
27C2×C3×C4⋊Dic3C2212yes—
28C2×C3×Dic3⋊C4C2212yes—
29C2×C3×Dic3⋊C4C2212yes—
30C2×C3×Dic3⋊C4C2211yescharacteristic
31C2×C3×Dic3⋊C4C2212yes—
32C2×C3×Dic3⋊C4C2212yes—
33C2×C3×C4×Dic3C2212yes—
34C2×C3×C4×Dic3C2211yescharacteristic
35C3×#896—28no—
36C3×#888—24no—
37C3×#67⋊C4—24no—
38C3×#878—28no—
39C32×#95C2211yescharacteristic
40C3×C3⋊#95C2211yescharacteristic
41C2×C3×C4⋊Q8—31no—
42C2×C3×C22⋊Q8—32no—
43C2×C3×C22⋊Q8—32no—
44C2×C3×C4×D4—31no—
45C2×#896C2×C312yescomplemented
46C2×#888C2×C311yescharacteristic, complemented
47C2×#67⋊C4C2×C311yescharacteristic
48C2×#878C2×C312yescomplemented
49C3×#399—21no—
50C3×#399—31no—
51C3×#399—31no—
52C3×#399—31no—
53C3×#399D311yescharacteristic, complemented
54C3×#399C2×C311yescharacteristic, complemented
55C3×#390—32no—
56C3×#384—32no—
57C3×C4×C4⋊C4—31no—
58#4993C2×C311yescharacteristic, complemented
59#4975C2×C312yescomplemented
60#4957C2×C312yes—
61#4949C2×C311yescharacteristic, complemented
62#4677C2×C311yescharacteristic, complemented
63#4649C2×C311yescharacteristic, complemented
64C24×C32C2311yescharacteristic
65C23×C3×D3C2311yescharacteristic
66C22×C32×C4C2311yescharacteristic
67C22×C32×C4C2312yes—
68C22×C32×C4C2312yes—
69C22×C32×C4C2311yescharacteristic
70C2×C3×#67—22no—
71C2×C3×#67—22no—
72C2×C3×#67Q814yescomplemented
73C22×C3×Dic3—24no—
74C22×C3×Dic3—22no—
75C22×C3×Dic3C2311yescharacteristic
76C22×C3×Dic3C2312yes—
77C22×C3×Dic3C2312yes—
78C22×C3×Dic3C2311yescharacteristic
79C22×C3×Dic3C2311yescharacteristic
80C2×C3×C4×D3—22no—
81C2×C3×C4×D3—24no—
82C2×C3×Dic6—24no—
83C2×C3×Dic6—24no—
84C2×C3×Dic6—24no—
85C32×C4⋊C4—22no—
86C32×C4⋊C4—24no—
87C32×C22⋊C4—24no—
88C32×C22⋊C4—22no—
89C3×#217—24no—
90C3×(C2×D3)⋊C4—22no—
91C3×(C2×D3)⋊C4—24no—
92C3×(C2×D3)⋊C4—24no—
93C3×C4⋊Dic3—24no—
94C3×C4⋊Dic3—22no—
95C3×Dic3⋊C4—24no—
96C3×Dic3⋊C4—22no—
97C3×Dic3⋊C4—24no—
98C3×Dic3⋊C4—24no—
99C3×Dic3⋊C4D418yescomplemented
100C3×C4×Dic3—24no—
101C3×C4×Dic3D414yes—
102#2542—31noSylow
103C22×C3×Q8—32no—
104C22×C3×D4—31no—
105C23×C3×C4—31no—
106C23×C3×C4—31no—
107C22×#67C22×C311yescharacteristic
108C23×Dic3C22×C311yescharacteristic
109C22×C4×D3C22×C311yescharacteristic
110C22×Dic6C22×C312yes—
111C3×C4⋊Q8—64no—
112C3×C22⋊Q8—68no—
113C3×C22⋊Q8—68no—
114C3×C4×D4—64no—
115C2×C3×C4⋊C4—22no—
116C2×C3×C4⋊C4—21no—
117C2×C3×C4⋊C4—32no—
118C2×C3×C4⋊C4—31no—
119C2×C3×C4⋊C4—32no—
120C2×C3×C4⋊C4—32no—
121C2×C3×C4⋊C4—32no—
122C2×C3×C4⋊C4—32no—
123C2×C3×C4⋊C4—31no—
124C2×C3×C4⋊C4C2×D312yes—
125C2×C3×C4⋊C4C2×D311yescharacteristic
126C2×C3×C4⋊C4C22×C312yes—
127C2×C3×C4⋊C4C22×C311yescharacteristic
128C2×C3×C22⋊C4—21no—
129C2×C3×C22⋊C4—22no—
130C2×C3×C22⋊C4—32no—
131C2×C3×C22⋊C4—32no—
132C2×C3×C22⋊C4—32no—
133C2×C3×C22⋊C4—31no—
134C2×C3×C22⋊C4C2×D312yes—
135C2×C3×C22⋊C4C2×D311yescharacteristic
136C2×C3×C22⋊C4C22×C311yescharacteristic
137C2×C3×C22⋊C4C22×C312yes—
138C2×C3×C42—31no—
139C2×C3×C42—32no—
140C2×#217C22×C312yes—
141C2×(C2×D3)⋊C4C22×C312yes—
142C2×(C2×D3)⋊C4C22×C311yescharacteristic
143C2×(C2×D3)⋊C4C22×C312yes—
144C2×C4⋊Dic3C22×C311yescharacteristic
145C2×C4⋊Dic3C22×C312yes—
146C2×Dic3⋊C4C22×C312yes—
147C2×Dic3⋊C4C22×C312yes—
148C2×Dic3⋊C4C22×C312yes—
149C2×Dic3⋊C4C22×C311yescharacteristic
150C2×Dic3⋊C4C22×C312yes—
151C2×C4×Dic3C22×C312yes—
152C2×C4×Dic3C22×C311yescharacteristic
153#896—28no—
154#888—24no—
155#67⋊C4—24no—
156#878—28no—
157C3×#95—21no—
158C3×#95—31no—
159C3×#95C2×D311yescharacteristic
160C3×#95C22×C311yescharacteristic
161C3⋊#95C22×C311yescharacteristic
162C23×C32—22no—
163C23×C32—21no—
164C23×C32—21no—
165C23×C32—22no—
166C23×C32C2×Q812yes—
167C23×C32C2411yescharacteristic
168C22×C3×D3—22no—
169C22×C3×D3—21no—
170C22×C3×D3—21no—
171C22×C3×D3—22no—
172C22×C3×D3C2×Q812yes—
173C2×C32×C4—22no—
174C2×C32×C4—22no—
175C2×C32×C4—22no—
176C2×C32×C4—22no—
177C2×C32×C4—21no—
178C2×C32×C4—22no—
179C2×C32×C4—22no—
180C2×C32×C4—22no—
181C2×C32×C4C2×D412yes—
182C2×C32×C4C2×D414yes—
183C3×#67—28no—
184C2×C3×Dic3—22no—
185C2×C3×Dic3—22no—
186C2×C3×Dic3—22no—
187C2×C3×Dic3—22no—
188C2×C3×Dic3—22no—
189C2×C3×Dic3—21no—
190C2×C3×Dic3—22no—
191C2×C3×Dic3—44no—
192C2×C3×Dic3C2×D414yes—
193C2×C3×Dic3C2×D412yes—
194C2×C3×Dic3C2×D412yes—
195C2×C3×Dic3C2×D414yes—
196C2×C3×Dic3C2×Q812yes—
197C2×C3×Dic3#4112yes—
198C3×C4×D3—44no—
199C3×Dic6—48no—
200C2×C4⋊Q8—31no—
201C2×C22⋊Q8—32no—
202C2×C22⋊Q8—32no—
203C2×C4×D4—31no—
204#399—31no—
205#399—31no—
206#399—31no—
207#399C3×D311yescharacteristic, complemented
208#390—32no—
209#384—32no—
210C4×C4⋊C4—31no—
211C24×C3—21no—
212C24×C3—31no—
213C24×C3C22×D311yescharacteristic
214C24×C3C23×C311yescharacteristic
215C23×D3C23×C311yescharacteristic
216C2×C3×Q8—64no—
217C2×C3×Q8—64no—
218C2×C3×Q8—64no—
219C2×C3×D4—34no—
220C2×C3×D4—62no—
221C2×C3×D4—62no—
222C22×C3×C4—21no—
223C22×C3×C4—22no—
224C22×C3×C4—22no—
225C22×C3×C4—21no—
226C22×C3×C4—31no—
227C22×C3×C4—31no—
228C22×C3×C4—32no—
229C22×C3×C4—32no—
230C22×C3×C4—31no—
231C22×C3×C4—62no—
232C22×C3×C4—64no—
233C22×C3×C4—62no—
234C22×C3×C4—64no—
235C22×C3×C4C22×D312yes—
236C22×C3×C4C22×D311yescharacteristic
237C22×C3×C4C22×D311yescharacteristic
238C22×C3×C4C22×D312yes—
239C22×C3×C4C23×C311yescharacteristic
240C22×C3×C4C23×C312yes—
241C22×C3×C4C23×C311yescharacteristic
242C22×C3×C4C23×C312yes—
243C2×#67—22no—
244C2×#67—22no—
245C2×#67C3×Q814yescomplemented
246C22×Dic3—24no—
247C22×Dic3—22no—
248C22×Dic3C23×C311yescharacteristic
249C22×Dic3C23×C312yes—
250C22×Dic3C23×C312yes—
251C22×Dic3C23×C311yescharacteristic
252C22×Dic3C23×C311yescharacteristic
253C2×C4×D3—22no—
254C2×C4×D3—24no—
255C2×Dic6—24no—
256C2×Dic6—24no—
257C2×Dic6—24no—
258C3×C4⋊C4—24no—
259C3×C4⋊C4—22no—
260C3×C4⋊C4—22no—
261C3×C4⋊C4—24no—
262C3×C4⋊C4—38no—
263C3×C4⋊C4—44no—
264C3×C4⋊C4—42no—
265C3×C4⋊C4—62no—
266C3×C4⋊C4—64no—
267C3×C4⋊C4—64no—
268C3×C4⋊C4—64no—
269C3×C4⋊C4—64no—
270C3×C4⋊C4—62no—
271C3×C22⋊C4—22no—
272C3×C22⋊C4—24no—
273C3×C22⋊C4—24no—
274C3×C22⋊C4—22no—
275C3×C22⋊C4—42no—
276C3×C22⋊C4—44no—
277C3×C22⋊C4—64no—
278C3×C22⋊C4—64no—
279C3×C22⋊C4—62no—
280C3×C22⋊C4—64no—
281C3×C42—34no—
282C3×C42—64no—
283#217—24no—
284(C2×D3)⋊C4—22no—
285(C2×D3)⋊C4—24no—
286(C2×D3)⋊C4—24no—
287C4⋊Dic3—24no—
288C4⋊Dic3—22no—
289Dic3⋊C4—24no—
290Dic3⋊C4—22no—
291Dic3⋊C4—24no—
292Dic3⋊C4—24no—
293Dic3⋊C4C3×D418yescomplemented
294C4×Dic3—24no—
295C4×Dic3C3×D414yes—
296C22×C32—22no—
297C22×C32—24no—
298C22×C32—41no—
299C22×C32—41no—
300C22×C32—42no—
301C22×C32C22×D411yescharacteristic
302C22×C32C22×D412yes—
303C22×C32C22×Q811yescharacteristic
304C22×C32C2×#4111yescharacteristic
305C22×C322−1+412yes—
306C2×C3×D3—22no—
307C2×C3×D3—24no—
308C2×C3×D3—41no—
309C2×C3×D3—41no—
310C2×C3×D3—42no—
311C32×C4—22no—
312C32×C4—24no—
313C32×C4—42no—
314C32×C4—41no—
315C3×Dic3—24no—
316C3×Dic3—42no—
317C3×Dic3—41no—
318C3×Dic3C22⋊Q814yescomplemented
319C3×Dic3#12714yes—
320C22×Q8—32no—
321C22×D4—31no—
322C23×C4—31no—
323C23×C4—31no—
324C4⋊Q8—64no—
325C22⋊Q8—68no—
326C22⋊Q8—68no—
327C4×D4—64no—
328C2×C4⋊C4—32no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—32no—
331C2×C4⋊C4—32no—
332C2×C4⋊C4—32no—
333C2×C4⋊C4—32no—
334C2×C4⋊C4—31no—
335C2×C4⋊C4C2×C3×D312yes—
336C2×C4⋊C4C2×C3×D311yescharacteristic
337C2×C22⋊C4—32no—
338C2×C22⋊C4—31no—
339C2×C22⋊C4—32no—
340C2×C22⋊C4—32no—
341C2×C22⋊C4C2×C3×D311yescharacteristic
342C2×C22⋊C4C2×C3×D312yes—
343C2×C42—31no—
344C2×C42—32no—
345#95—31no—
346#95C2×C3×D311yescharacteristic
347C23×C3—22no—
348C23×C3—21no—
349C23×C3—21no—
350C23×C3—22no—
351C23×C3—22no—
352C23×C3—21no—
353C23×C3—21no—
354C23×C3—22no—
355C23×C3—21no—
356C23×C3—22no—
357C23×C3—32no—
358C23×C3—42no—
359C23×C3—41no—
360C23×C3—41no—
361C23×C3—42no—
362C23×C3—62no—
363C23×C3—61no—
364C23×C3—61no—
365C23×C3—62no—
366C23×C3D3×Q812yes—
367C23×C3C2×C3×Q812yes—
368C23×C3C23×D311yescharacteristic
369C23×C3C24×C311yescharacteristic
370C22×D3—22no—
371C22×D3—21no—
372C22×D3—21no—
373C22×D3—22no—
374C22×D3C2×C3×Q812yes—
375C3×Q8—128no—
376C3×D4—68no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—21no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—21no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—24no—
395C2×C3×C4—32no—
396C2×C3×C4—32no—
397C2×C3×C4—34no—
398C2×C3×C4—32no—
399C2×C3×C4—32no—
400C2×C3×C4—34no—
401C2×C3×C4—42no—
402C2×C3×C4—42no—
403C2×C3×C4—42no—
404C2×C3×C4—41no—
405C2×C3×C4—42no—
406C2×C3×C4—42no—
407C2×C3×C4—42no—
408C2×C3×C4—42no—
409C2×C3×C4—62no—
410C2×C3×C4—62no—
411C2×C3×C4—61no—
412C2×C3×C4—62no—
413C2×C3×C4—62no—
414C2×C3×C4—62no—
415C2×C3×C4—62no—
416C2×C3×C4—124no—
417C2×C3×C4—124no—
418C2×C3×C4D3×D412yes—
419C2×C3×C4D3×D414yes—
420C2×C3×C4C2×C3×D412yes—
421C2×C3×C4C2×C3×D414yes—
422#67—28no—
423C2×Dic3—22no—
424C2×Dic3—22no—
425C2×Dic3—22no—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3—21no—
429C2×Dic3—22no—
430C2×Dic3—44no—
431C2×Dic3C2×C3×D414yes—
432C2×Dic3C2×C3×D412yes—
433C2×Dic3C2×C3×D412yes—
434C2×Dic3C2×C3×D414yes—
435C2×Dic3C2×C3×Q812yes—
436C2×Dic3C3×#4112yes—
437C4×D3—44no—
438Dic6—48no—
439C2×C32—42no—
440C2×C32C2×C22⋊Q811yescharacteristic
441C2×C32C2×#12711yescharacteristic
442C2×C32#53611yescharacteristic
443C2×C32#54712yes—
444C2×C32D4×Q812yes—
445C3×D3—42no—
446C24—31no—
447C24C22×C3×D311yescharacteristic
448C2×Q8—64no—
449C2×Q8—64no—
450C2×Q8—64no—
451C2×D4—34no—
452C2×D4—62no—
453C2×D4—62no—
454C22×C4—31no—
455C22×C4—31no—
456C22×C4—32no—
457C22×C4—32no—
458C22×C4—31no—
459C22×C4—62no—
460C22×C4—64no—
461C22×C4—62no—
462C22×C4—64no—
463C22×C4C22×C3×D312yes—
464C22×C4C22×C3×D311yescharacteristic
465C22×C4C22×C3×D311yescharacteristic
466C22×C4C22×C3×D312yes—
467C4⋊C4—24no—
468C4⋊C4—22no—
469C4⋊C4—38no—
470C4⋊C4—62no—
471C4⋊C4—64no—
472C4⋊C4—64no—
473C4⋊C4—64no—
474C4⋊C4—64no—
475C4⋊C4—62no—
476C22⋊C4—22no—
477C22⋊C4—24no—
478C22⋊C4—64no—
479C22⋊C4—64no—
480C22⋊C4—62no—
481C22⋊C4—64no—
482C42—34no—
483C42—64no—
484C22×C3—24no—
485C22×C3—22no—
486C22×C3—24no—
487C22×C3—22no—
488C22×C3—21no—
489C22×C3—22no—
490C22×C3—21no—
491C22×C3—21no—
492C22×C3—22no—
493C22×C3—42no—
494C22×C3—44no—
495C22×C3—41no—
496C22×C3—42no—
497C22×C3—41no—
498C22×C3—41no—
499C22×C3—41no—
500C22×C3—42no—
501C22×C3—64no—
502C22×C3—62no—
503C22×C3—81no—
504C22×C3—82no—
505C22×C3—81no—
506C22×C3—121no—
507C22×C3—122no—
508C22×C3—121no—
509C22×C3C2×D3×D412yes—
510C22×C3C2×D3×D411yescharacteristic
511C22×C3C2×D3×Q811yescharacteristic
512C22×C3D3×#4111yescharacteristic
513C22×C3#101012yes—
514C22×C3C22×C3×D411yescharacteristic
515C22×C3C22×C3×D412yes—
516C22×C3C22×C3×Q811yescharacteristic
517C22×C3C2×C3×#4111yescharacteristic
518C22×C3C3×2−1+412yes—
519C2×D3—22no—
520C2×D3—24no—
521C2×D3—41no—
522C2×D3—41no—
523C2×D3—42no—
524C3×C4—22no—
525C3×C4—24no—
526C3×C4—22no—
527C3×C4—24no—
528C3×C4—34no—
529C3×C4—34no—
530C3×C4—42no—
531C3×C4—44no—
532C3×C4—41no—
533C3×C4—42no—
534C3×C4—42no—
535C3×C4—41no—
536C3×C4—64no—
537C3×C4—81no—
538C3×C4—82no—
539C3×C4—121no—
540C3×C4—122no—
541Dic3—24no—
542Dic3—42no—
543Dic3—41no—
544Dic3C3×C22⋊Q814yescomplemented
545Dic3C3×#12714yes—
546C32#254211yescharacteristic, complemented, Sylow
547C23—22no—
548C23—21no—
549C23—21no—
550C23—22no—
551C23—32no—
552C23—62no—
553C23—61no—
554C23—61no—
555C23—62no—
556C23C3×D3×Q812yes—
557C23C23×C3×D311yescharacteristic
558Q8—128no—
559D4—68no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—32no—
569C2×C4—32no—
570C2×C4—34no—
571C2×C4—32no—
572C2×C4—32no—
573C2×C4—34no—
574C2×C4—62no—
575C2×C4—62no—
576C2×C4—61no—
577C2×C4—62no—
578C2×C4—62no—
579C2×C4—62no—
580C2×C4—62no—
581C2×C4—124no—
582C2×C4—124no—
583C2×C4C3×D3×D412yes—
584C2×C4C3×D3×D414yes—
585C2×C3—21no—
586C2×C3—22no—
587C2×C3—21no—
588C2×C3—22no—
589C2×C3—21no—
590C2×C3—42no—
591C2×C3—42no—
592C2×C3—82no—
593C2×C3—122no—
594C2×C3D3×C22⋊Q811yescharacteristic
595C2×C3#563212yes—
596C2×C3#564811yescharacteristic
597C2×C3#565512yes—
598C2×C3D3×#12711yescharacteristic
599C2×C3C2×C3×C22⋊Q811yescharacteristic
600C2×C3C2×C3×#12711yescharacteristic
601C2×C3C3×#53611yescharacteristic
602C2×C3C3×#54712yes—
603C2×C3C3×D4×Q812yes—
604D3—42no—
605C22—22no—
606C22—24no—
607C22—41no—
608C22—42no—
609C22—41no—
610C22—62no—
611C22—64no—
612C22—121no—
613C22—122no—
614C22—121no—
615C22C2×C3×D3×D411yescharacteristic
616C22C2×C3×D3×D412yes—
617C22C2×C3×D3×Q811yescharacteristic
618C22C3×D3×#4111yescharacteristic
619C22C3×#101012yes—
620C4—22no—
621C4—24no—
622C4—34no—
623C4—34no—
624C4—41no—
625C4—42no—
626C4—64no—
627C4—121no—
628C4—122no—
629C3—21no—
630C3#7803711yescharacteristic, direct product factor
631C3C3×#254211yescharacteristic, complemented
632C2—42no—
633C2—122no—
634C2C3×D3×C22⋊Q811yescharacteristic
635C2C3×#563212yes—
636C2C3×#564811yescharacteristic
637C2C3×#565512yes—
638C2C3×D3×#12711yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutator, cosocleC23×C3C24×C3
FrattiniC23C23×C3×D3
FittingC32×#399C2
socleC23×C32C24
prime radicalC22×C3×#67C22
hypercenterC3×#399D3
hypocenterC3C3×#2542
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C3×#399

Complements

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

NH ≅ G/Ntype
1. C2×C3×#896C2semidirect
2. C2×C3×#888C2semidirect
4. C2×C3×#878C2semidirect
5. C32×#399C2semidirect
6. C3×#4993C2semidirect
7. C3×#4975C2semidirect
9. C3×#4949C2semidirect
10. C3×#4677C2semidirect
11. C3×#4649C2semidirect
13. #78037C3direct (N × H)
45. C2×#896C2×C3semidirect
46. C2×#888C2×C3semidirect
48. C2×#878C2×C3semidirect
53. C3×#399D3semidirect
54. C3×#399C2×C3semidirect
58. #4993C2×C3semidirect
59. #4975C2×C3semidirect
61. #4949C2×C3semidirect
62. #4677C2×C3semidirect
63. #4649C2×C3semidirect
72. C2×C3×#67Q8semidirect
99. C3×Dic3⋊C4D4semidirect
207. #399C3×D3semidirect
245. C2×#67C3×Q8semidirect
293. Dic3⋊C4C3×D4semidirect
318. C3×Dic3C22⋊Q8semidirect
544. Dic3C3×C22⋊Q8semidirect
546. C32#2542semidirect
630. C3#78037direct (N × H)
631. C3C3×#2542semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#8962
C2×C3×#8882
C2×C3×#67⋊C42
C2×C3×#8782
C32×#3992
C3×#49932
C3×#49752
C3×#49572
C3×#49492
C3×#46772
C3×#46492
C3×#25423
#780373