Finite Group Databasebeta

← C3×#80965 #11868637

Subgroups — C3×#80965 #11868637

Order 1152.

934 conjugacy classes of subgroups.

The subgroup lattice has 621 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5728C211yesmaximal, characteristic, complemented
2C3×C4×D3×D4C211yesmaximal, characteristic
3C32×#474C211yesmaximal, characteristic, complemented
4C3×#5087C211yesmaximal, characteristic, complemented
5C3×#5008C211yesmaximal, characteristic, complemented
6C3×#4891C212yesmaximal, complemented
7C3×#4881C212yesmaximal, complemented
8C3×#4842C211yesmaximal, characteristic, complemented
9C3×#4837C211yesmaximal, characteristic, complemented
10C3×#4770C212yesmaximal
11C3×#4763C212yesmaximal, complemented
12C3×#3077—31nomaximal
13#80965C311yesmaximal, characteristic, direct product factor
14C2×C3×D3×D4C2211yescharacteristic
15C22×C3×C4×D3—21no—
16C32×C4⋊Q8C2211yescharacteristic, complemented
17C32×C4×D4C2211yescharacteristic
18C3×#946—21no—
19C3×Q8×Dic3—21no—
20C3×D4×Dic3C2211yescharacteristic
21C3×C4×#67—21no—
22C2×C3×ΓL(1,𝔽25)C2212yes—
23C3×#897—21no—
24C3×#893C2211yescharacteristic
25C3×#892C2212yes—
26C3×D3×C4⋊C4C2211yescharacteristic
27C3×#890C2212yescomplemented
28C3×#887—21no—
29C3×#67⋊C4—21no—
30C3×D3×C22⋊C4—21no—
31C3×C4×D12C2211yescharacteristic
32C3×C42×D3C2211yescharacteristic
33C3×#869C2211yescharacteristic, complemented
34C32×#107C2212yescomplemented
35C32×C4⋊C8C2211yescharacteristic, complemented
36C32×#102C2212yes—
37C3×#832C2212yes—
38C3×#821C2212yes—
39C3×#817C2212yescomplemented
40C3×Dic3⋊C8C2212yescomplemented
41C3×#809C2212yes—
42C3×#808C2212yescomplemented
43C3×#807C2212yescomplemented
44C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
45C3×#533—31no—
46C2×C3×C4×D4—31no—
47#5728C2×C311yescharacteristic, complemented
48C4×D3×D4C2×C311yescharacteristic
49C3×#478—32no—
50C3×#478—32no—
51C3×#476—31no—
52C3×#476—31no—
53C3×#474—21no—
54C3×#474—31no—
55C3×#474D311yescharacteristic, complemented
56C3×#474C2×C311yescharacteristic, complemented
57C3×#428—32no—
58C3×#423—31no—
59C3×#418—32no—
60#5087C2×C311yescharacteristic, complemented
61#5008C2×C311yescharacteristic, complemented
62#4891C2×C312yescomplemented
63#4881C2×C312yescomplemented
64#4842C2×C311yescharacteristic, complemented
65#4837C2×C311yescharacteristic, complemented
66#4770C2×C312yes—
67#4763C2×C312yescomplemented
68C23×C3×D3—21no—
69C2×C32×Q8—21no—
70C2×C32×D4C2311yescharacteristic
71C22×C32×C4—21no—
72C2×C3×#67—21no—
73C22×C3×Dic3—21no—
74C3×D3×D4—22no—
75C3×D3×D4Q814yescomplemented
76C2×C3×D12C2311yescharacteristic
77C2×C3×C4×D3—21no—
78C2×C3×C4×D3—21no—
79C2×C3×C4×D3—21no—
80C2×C3×C4×D3—44no—
81C2×C3×C4×D3D411yescharacteristic
82C2×C3×C4×D3D411yescharacteristic
83C2×C3×C4×D3C2311yescharacteristic
84C2×C3×Dic6—21no—
85C2×C32×C8C2312yes—
86C32×C4⋊C4—21no—
87C32×C4⋊C4C2312yes—
88C32×C4⋊C4C2311yescharacteristic
89C32×C22⋊C4—21no—
90C32×C42C2311yescharacteristic
91C3×#217—21no—
92C3×(C2×D3)⋊C4—22no—
93C3×(C2×D3)⋊C4—21no—
94C3×(C2×D3)⋊C4—21no—
95C3×C4⋊Dic3—21no—
96C3×C4⋊Dic3—22no—
97C3×C4⋊Dic3C2312yes—
98C3×C4⋊Dic3C2311yescharacteristic
99C3×Dic3⋊C4—21no—
100C3×Dic3⋊C4—22no—
101C3×C4×Dic3—22no—
102C3×C4×Dic3D411yescharacteristic
103C3×C4×Dic3D411yescharacteristic
104C3×C4×Dic3C2311yescharacteristic
105C2×C3×C3⋊C8C2312yes—
106C3×ΓL(1,𝔽25)—24no—
107#3077—31noSylow
108C22×C3×D4—31no—
109C23×C3×C4—61no—
110C2×D3×D4C22×C311yescharacteristic
111C22×C4×D3—21no—
112C2×C3×M16—32no—
113C3×C4⋊Q8—21no—
114C3×C4⋊Q8—31no—
115C3×C4⋊Q8C2×D311yescharacteristic, complemented
116C3×C4⋊Q8C22×C311yescharacteristic, complemented
117C3×#125—32no—
118C3×C22⋊Q8—61no—
119C3×C22⋊Q8—61no—
120C3×C4×Q8—61no—
121C3×C4×Q8—61no—
122C3×C4×D4—21no—
123C3×C4×D4—31no—
124C3×C4×D4—31no—
125C3×C4×D4—31no—
126C3×C4×D4—61no—
127C3×C4×D4—61no—
128C3×C4×D4C2×D311yescharacteristic
129C3×C4×D4C22×C311yescharacteristic
130C3×#117—32no—
131C2×C3×C4⋊C4—31no—
132C2×C3×C22⋊C4—61no—
133C2×C3×C42—31no—
134#946—21no—
135Q8×Dic3—21no—
136D4×Dic3C22×C311yescharacteristic
137C4×#67—21no—
138C2×ΓL(1,𝔽25)C22×C312yes—
139#897—21no—
140#893C22×C311yescharacteristic
141#892C22×C312yes—
142D3×C4⋊C4C22×C311yescharacteristic
143#890C22×C312yescomplemented
144#887—21no—
145#67⋊C4—21no—
146D3×C22⋊C4—21no—
147C4×D12C22×C311yescharacteristic
148C42×D3C22×C311yescharacteristic
149#869C22×C311yescharacteristic, complemented
150C3×#107—22no—
151C3×#107—32no—
152C3×#107C2×D312yescomplemented
153C3×#107C22×C312yescomplemented
154C3×#106—32no—
155C3×#106—32no—
156C3×C4⋊C8—21no—
157C3×C4⋊C8—32no—
158C3×C4⋊C8—31no—
159C3×C4⋊C8C2×D311yescharacteristic, complemented
160C3×C4⋊C8C22×C311yescharacteristic, complemented
161C3×#102—22no—
162C3×#102—32no—
163C3×#102—32no—
164C3×#102—32no—
165C3×#102C2×D312yes—
166C3×#102C22×C312yes—
167#832C22×C312yes—
168#821C22×C312yes—
169#817C22×C312yescomplemented
170Dic3⋊C8C22×C312yescomplemented
171#809C22×C312yes—
172#808C22×C312yescomplemented
173#807C22×C312yescomplemented
174C4⋊(C3⋊C8)C22×C311yescharacteristic, complemented
175C23×C32—21no—
176C22×C3×D3—21no—
177C22×C3×D3—24no—
178C22×C3×D3—42no—
179C22×C3×D3—42no—
180C22×C3×D3C2×D411yescharacteristic
181C32×Q8—42no—
182C32×D4—21no—
183C32×D4C2×Q812yes—
184C2×C32×C4—22no—
185C2×C32×C4—21no—
186C2×C32×C4—42no—
187C2×C32×C4C2×D411yescharacteristic
188C2×C32×C4C2×D411yescharacteristic
189C2×C32×C4C2411yescharacteristic
190C3×#67—24no—
191C2×C3×Dic3—22no—
192C2×C3×Dic3—21no—
193C2×C3×Dic3—42no—
194C2×C3×Dic3C2×D411yescharacteristic
195C2×C3×Dic3C2×D411yescharacteristic
196C2×C3×Dic3C2×D411yescharacteristic
197C3×D12—21no—
198C3×D12C2×Q812yes—
199C3×C4×D3—22no—
200C3×C4×D3—41no—
201C3×C4×D3—42no—
202C3×C4×D3—42no—
203C3×C4×D3—42no—
204C3×C4×D3C2×Q812yes—
205C3×C4×D3#4112yes—
206C3×Dic6—42no—
207C32×C8—22no—
208C3×C3⋊C8—22no—
209#533—31no—
210C2×C4×D4—31no—
211#478—32no—
212#478—32no—
213#476—31no—
214#476—31no—
215#474—31no—
216#474C3×D311yescharacteristic, complemented
217#428—32no—
218#423—31no—
219#418—32no—
220C24×C3—61no—
221C23×D3—21no—
222C2×C3×Q8—21no—
223C2×C3×Q8—21no—
224C2×C3×Q8—41no—
225C2×C3×Q8—61no—
226C2×C3×D4—21no—
227C2×C3×D4—34no—
228C2×C3×D4—31no—
229C2×C3×D4—62no—
230C2×C3×D4—61no—
231C2×C3×D4C22×D311yescharacteristic
232C2×C3×D4C23×C311yescharacteristic
233C22×C3×C4—21no—
234C22×C3×C4—21no—
235C22×C3×C4—31no—
236C22×C3×C4—31no—
237C22×C3×C4—31no—
238C22×C3×C4—41no—
239C22×C3×C4—61no—
240C22×C3×C4—61no—
241C22×C3×C4—61no—
242C22×C3×C4—61no—
243C22×C3×C4—124no—
244C2×#67—21no—
245C22×Dic3—21no—
246D3×D4—22no—
247D3×D4C3×Q814yescomplemented
248C2×D12C23×C311yescharacteristic
249C2×C4×D3—21no—
250C2×C4×D3—21no—
251C2×C4×D3—21no—
252C2×C4×D3—44no—
253C2×C4×D3C3×D411yescharacteristic
254C2×C4×D3C3×D411yescharacteristic
255C2×C4×D3C23×C311yescharacteristic
256C2×Dic6—21no—
257C3×M16—64no—
258C2×C3×C8—22no—
259C2×C3×C8—32no—
260C2×C3×C8C22×D312yes—
261C2×C3×C8C23×C312yes—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—21no—
264C3×C4⋊C4—22no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—32no—
267C3×C4⋊C4—31no—
268C3×C4⋊C4—41no—
269C3×C4⋊C4—61no—
270C3×C4⋊C4—62no—
271C3×C4⋊C4—62no—
272C3×C4⋊C4—61no—
273C3×C4⋊C4C22×D312yes—
274C3×C4⋊C4C22×D311yescharacteristic
275C3×C4⋊C4C23×C312yes—
276C3×C4⋊C4C23×C311yescharacteristic
277C3×C22⋊C4—21no—
278C3×C22⋊C4—21no—
279C3×C22⋊C4—41no—
280C3×C22⋊C4—61no—
281C3×C22⋊C4—62no—
282C3×C22⋊C4—61no—
283C3×C22⋊C4—61no—
284C3×C42—21no—
285C3×C42—31no—
286C3×C42—31no—
287C3×C42—31no—
288C3×C42—62no—
289C3×C42C22×D311yescharacteristic
290C3×C42C23×C311yescharacteristic
291#217—21no—
292(C2×D3)⋊C4—22no—
293(C2×D3)⋊C4—21no—
294(C2×D3)⋊C4—21no—
295C4⋊Dic3—21no—
296C4⋊Dic3—22no—
297C4⋊Dic3C23×C311yescharacteristic
298C4⋊Dic3C23×C312yes—
299Dic3⋊C4—21no—
300Dic3⋊C4—22no—
301C4×Dic3—22no—
302C4×Dic3C3×D411yescharacteristic
303C4×Dic3C3×D411yescharacteristic
304C4×Dic3C23×C311yescharacteristic
305C2×C3⋊C8C23×C312yes—
306ΓL(1,𝔽25)—24no—
307C22×C32—22no—
308C22×C32—41no—
309C22×C32—41no—
310C22×C32C22×D411yescharacteristic
311C2×C3×D3—21no—
312C2×C3×D3—21no—
313C2×C3×D3—22no—
314C2×C3×D3—48no—
315C2×C3×D3—41no—
316C2×C3×D3—41no—
317C2×C3×D3C22⋊Q812yes—
318C32×C4—21no—
319C32×C4—41no—
320C32×C4—42no—
321C32×C4AGL(1,ℤ/8)12yes—
322C32×C4C22×Q811yescharacteristic
323C32×C4C2×#4111yescharacteristic
324C3×Dic3—21no—
325C3×Dic3—21no—
326C3×Dic3—41no—
327C3×Dic3—42no—
328C3×Dic3C22⋊Q812yes—
329C22×D4—31no—
330C23×C4—61no—
331C2×M16—32no—
332C4⋊Q8—31no—
333C4⋊Q8C2×C3×D311yescharacteristic, complemented
334#125—32no—
335C22⋊Q8—61no—
336C22⋊Q8—61no—
337C4×Q8—61no—
338C4×Q8—61no—
339C4×D4—31no—
340C4×D4—31no—
341C4×D4—31no—
342C4×D4—61no—
343C4×D4—61no—
344C4×D4C2×C3×D311yescharacteristic
345#117—32no—
346C2×C4⋊C4—31no—
347C2×C22⋊C4—61no—
348C2×C42—31no—
349#107—32no—
350#107C2×C3×D312yescomplemented
351#106—32no—
352#106—32no—
353C4⋊C8—32no—
354C4⋊C8—31no—
355C4⋊C8C2×C3×D311yescharacteristic, complemented
356#102—32no—
357#102—32no—
358#102—32no—
359#102C2×C3×D312yes—
360C23×C3—21no—
361C23×C3—21no—
362C23×C3—31no—
363C23×C3—41no—
364C23×C3—64no—
365C23×C3—61no—
366C23×C3—122no—
367C23×C3—122no—
368C22×D3—21no—
369C22×D3—24no—
370C22×D3—42no—
371C22×D3—42no—
372C22×D3C2×C3×D411yescharacteristic
373C3×Q8—42no—
374C3×Q8—42no—
375C3×Q8—82no—
376C3×Q8—122no—
377C3×D4—21no—
378C3×D4—21no—
379C3×D4—22no—
380C3×D4—32no—
381C3×D4—41no—
382C3×D4—64no—
383C3×D4—61no—
384C3×D4D3×Q812yes—
385C3×D4C2×C3×Q812yes—
386C2×C3×C4—22no—
387C2×C3×C4—21no—
388C2×C3×C4—22no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—21no—
393C2×C3×C4—31no—
394C2×C3×C4—32no—
395C2×C3×C4—32no—
396C2×C3×C4—31no—
397C2×C3×C4—31no—
398C2×C3×C4—41no—
399C2×C3×C4—42no—
400C2×C3×C4—42no—
401C2×C3×C4—42no—
402C2×C3×C4—62no—
403C2×C3×C4—62no—
404C2×C3×C4—61no—
405C2×C3×C4—82no—
406C2×C3×C4—121no—
407C2×C3×C4—122no—
408C2×C3×C4—122no—
409C2×C3×C4—122no—
410C2×C3×C4—122no—
411C2×C3×C4D3×D411yescharacteristic
412C2×C3×C4D3×D411yescharacteristic
413C2×C3×C4C2×C3×D411yescharacteristic
414C2×C3×C4C2×C3×D411yescharacteristic
415C2×C3×C4C23×D311yescharacteristic
416C2×C3×C4C24×C311yescharacteristic
417#67—24no—
418C2×Dic3—22no—
419C2×Dic3—21no—
420C2×Dic3—42no—
421C2×Dic3C2×C3×D411yescharacteristic
422C2×Dic3C2×C3×D411yescharacteristic
423C2×Dic3C2×C3×D411yescharacteristic
424D12—21no—
425D12C2×C3×Q812yes—
426C4×D3—22no—
427C4×D3—41no—
428C4×D3—42no—
429C4×D3—42no—
430C4×D3—42no—
431C4×D3C2×C3×Q812yes—
432C4×D3C3×#4112yes—
433Dic6—42no—
434C3×C8—22no—
435C3×C8—22no—
436C3×C8—42no—
437C3×C8—62no—
438C3⋊C8—22no—
439C2×C32—42no—
440C2×C32C2×C22⋊Q811yescharacteristic
441C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
442C2×C32#57511yescharacteristic
443C3×D3—22no—
444C3×D3—42no—
445C24—61no—
446C2×Q8—21no—
447C2×Q8—61no—
448C2×D4—34no—
449C2×D4—31no—
450C2×D4—62no—
451C2×D4—61no—
452C2×D4C22×C3×D311yescharacteristic
453C22×C4—21no—
454C22×C4—31no—
455C22×C4—31no—
456C22×C4—31no—
457C22×C4—61no—
458C22×C4—61no—
459C22×C4—61no—
460C22×C4—61no—
461C22×C4—124no—
462M16—64no—
463C2×C8—32no—
464C2×C8C22×C3×D312yes—
465C4⋊C4—21no—
466C4⋊C4—32no—
467C4⋊C4—31no—
468C4⋊C4—61no—
469C4⋊C4—62no—
470C4⋊C4—62no—
471C4⋊C4—61no—
472C4⋊C4C22×C3×D312yes—
473C4⋊C4C22×C3×D311yescharacteristic
474C22⋊C4—21no—
475C22⋊C4—61no—
476C22⋊C4—62no—
477C22⋊C4—61no—
478C22⋊C4—61no—
479C42—31no—
480C42—31no—
481C42—31no—
482C42—62no—
483C42C22×C3×D311yescharacteristic
484C22×C3—22no—
485C22×C3—22no—
486C22×C3—21no—
487C22×C3—32no—
488C22×C3—42no—
489C22×C3—41no—
490C22×C3—41no—
491C22×C3—41no—
492C22×C3—41no—
493C22×C3—61no—
494C22×C3—61no—
495C22×C3—62no—
496C22×C3—81no—
497C22×C3—81no—
498C22×C3—128no—
499C22×C3—121no—
500C22×C3—121no—
501C22×C3C2×D3×D411yescharacteristic
502C22×C3C22×C3×D411yescharacteristic
503C2×D3—21no—
504C2×D3—21no—
505C2×D3—22no—
506C2×D3—48no—
507C2×D3—41no—
508C2×D3—41no—
509C2×D3C3×C22⋊Q812yes—
510C3×C4—21no—
511C3×C4—21no—
512C3×C4—22no—
513C3×C4—21no—
514C3×C4—21no—
515C3×C4—32no—
516C3×C4—41no—
517C3×C4—41no—
518C3×C4—42no—
519C3×C4—41no—
520C3×C4—42no—
521C3×C4—61no—
522C3×C4—61no—
523C3×C4—81no—
524C3×C4—82no—
525C3×C4—121no—
526C3×C4—122no—
527C3×C4#91112yes—
528C3×C4C3×AGL(1,ℤ/8)12yes—
529C3×C4C2×D3×Q811yescharacteristic
530C3×C4D3×#4111yescharacteristic
531C3×C4C22×C3×Q811yescharacteristic
532C3×C4C2×C3×#4111yescharacteristic
533Dic3—21no—
534Dic3—21no—
535Dic3—41no—
536Dic3—42no—
537Dic3C3×C22⋊Q812yes—
538C32#307711yescharacteristic, complemented, Sylow
539C23—21no—
540C23—31no—
541C23—64no—
542C23—61no—
543C23—122no—
544C23—122no—
545Q8—42no—
546Q8—122no—
547D4—21no—
548D4—32no—
549D4—64no—
550D4—61no—
551D4C3×D3×Q812yes—
552C2×C4—22no—
553C2×C4—21no—
554C2×C4—31no—
555C2×C4—32no—
556C2×C4—32no—
557C2×C4—31no—
558C2×C4—31no—
559C2×C4—42no—
560C2×C4—62no—
561C2×C4—62no—
562C2×C4—61no—
563C2×C4—121no—
564C2×C4—122no—
565C2×C4—122no—
566C2×C4—122no—
567C2×C4—122no—
568C2×C4C3×D3×D411yescharacteristic
569C2×C4C3×D3×D411yescharacteristic
570C2×C4C23×C3×D311yescharacteristic
571C8—22no—
572C8—62no—
573C2×C3—21no—
574C2×C3—21no—
575C2×C3—21no—
576C2×C3—42no—
577C2×C3—42no—
578C2×C3—62no—
579C2×C3—82no—
580C2×C3—122no—
581C2×C3D3×C22⋊Q811yescharacteristic
582C2×C3C2×#91111yescharacteristic
583C2×C3#577711yescharacteristic
584C2×C3C2×C3×C22⋊Q811yescharacteristic
585C2×C3C2×C3×AGL(1,ℤ/8)11yescharacteristic
586C2×C3C3×#57511yescharacteristic
587D3—22no—
588D3—42no—
589C22—22no—
590C22—32no—
591C22—41no—
592C22—41no—
593C22—61no—
594C22—61no—
595C22—62no—
596C22—128no—
597C22—121no—
598C22—121no—
599C22C2×C3×D3×D411yescharacteristic
600C4—21no—
601C4—32no—
602C4—41no—
603C4—42no—
604C4—61no—
605C4—61no—
606C4—121no—
607C4—122no—
608C4C3×#91112yes—
609C4C2×C3×D3×Q811yescharacteristic
610C4C3×D3×#4111yescharacteristic
611C3—21no—
612C3#8096511yescharacteristic, direct product factor
613C3C3×#307711yescharacteristic, complemented
614C2—42no—
615C2—62no—
616C2—122no—
617C2C3×D3×C22⋊Q811yescharacteristic
618C2C2×C3×#91111yescharacteristic
619C2C3×#577711yescharacteristic
subgroupG/H
centerC22×C3C2×D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#474C2
socleC22×C32C22×D4
prime radicalC2×C3×D3×D4C22
hypercenterC3×#474D3
hypocenterC3C3×#3077
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×C42 ◁ C3×#474

Complements

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

NH ≅ G/Ntype
1. C3×#5728C2semidirect
3. C32×#474C2semidirect
4. C3×#5087C2semidirect
5. C3×#5008C2semidirect
6. C3×#4891C2semidirect
7. C3×#4881C2semidirect
8. C3×#4842C2semidirect
9. C3×#4837C2semidirect
11. C3×#4763C2semidirect
13. #80965C3direct (N × H)
16. C32×C4⋊Q8C22semidirect
27. C3×#890C22semidirect
33. C3×#869C22semidirect
34. C32×#107C22semidirect
35. C32×C4⋊C8C22semidirect
39. C3×#817C22semidirect
40. C3×Dic3⋊C8C22semidirect
42. C3×#808C22semidirect
43. C3×#807C22semidirect
44. C3×C4⋊(C3⋊C8)C22semidirect
47. #5728C2×C3semidirect
55. C3×#474D3semidirect
56. C3×#474C2×C3semidirect
60. #5087C2×C3semidirect
61. #5008C2×C3semidirect
62. #4891C2×C3semidirect
63. #4881C2×C3semidirect
64. #4842C2×C3semidirect
65. #4837C2×C3semidirect
67. #4763C2×C3semidirect
75. C3×D3×D4Q8semidirect
115. C3×C4⋊Q8C2×D3semidirect
116. C3×C4⋊Q8C22×C3semidirect
143. #890C22×C3semidirect
149. #869C22×C3semidirect
152. C3×#107C2×D3semidirect
153. C3×#107C22×C3semidirect
159. C3×C4⋊C8C2×D3semidirect
160. C3×C4⋊C8C22×C3semidirect
169. #817C22×C3semidirect
170. Dic3⋊C8C22×C3semidirect
172. #808C22×C3semidirect
173. #807C22×C3semidirect
174. C4⋊(C3⋊C8)C22×C3semidirect
216. #474C3×D3semidirect
247. D3×D4C3×Q8semidirect
333. C4⋊Q8C2×C3×D3semidirect
350. #107C2×C3×D3semidirect
355. C4⋊C8C2×C3×D3semidirect
538. C32#3077semidirect
612. C3#80965direct (N × H)
613. C3C3×#3077semidirect

Maximal subgroups

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

subgroupindex
C3×#57282
C3×C4×D3×D42
C32×#4742
C3×#50872
C3×#50082
C3×#48912
C3×#48812
C3×#48422
C3×#48372
C3×#47702
C3×#47632
C3×#30773
#809653