Finite Group Databasebeta

← C3×#76201 #11805220

Subgroups — C3×#76201 #11805220

Order 1152.

1181 conjugacy classes of subgroups.

The subgroup lattice has 611 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×C4⋊C4C211yesmaximal, characteristic
2C32×#389C211yesmaximal, characteristic, complemented
3C3×#4987C211yesmaximal, characteristic
4C3×#4987C212yesmaximal
5C3×#4984C211yesmaximal, characteristic, complemented
6C3×#4978C212yesmaximal, complemented
7C3×Dic3×C4⋊C4C211yesmaximal, characteristic, complemented
8C3×C4×(C2×D3)⋊C4C211yesmaximal, characteristic
9C3×C4×C4⋊Dic3C211yesmaximal, characteristic, complemented
10C3×#4666C212yesmaximal
11C3×#4655C212yesmaximal, complemented
12C3×#2345—31nomaximal
13#76201C311yesmaximal, characteristic, direct product factor
14C22×C3×C4×D3C2211yescharacteristic
15C22×C3×C4×D3C2212yes—
16C2×C32×C4⋊C4C2211yescharacteristic
17C2×C32×C4⋊C4C2212yes—
18C2×C32×C4⋊C4C2211yescharacteristic
19C2×C32×C42C2211yescharacteristic
20C2×C3×(C2×D3)⋊C4C2212yes—
21C2×C3×(C2×D3)⋊C4C2211yescharacteristic
22C2×C3×(C2×D3)⋊C4C2211yescharacteristic
23C2×C3×C4⋊Dic3C2211yescharacteristic
24C2×C3×C4⋊Dic3C2212yes—
25C2×C3×C4⋊Dic3C2211yescharacteristic
26C2×C3×Dic3⋊C4C2212yes—
27C2×C3×C4×Dic3C2211yescharacteristic
28C2×C3×C4×Dic3C2212yes—
29C2×C3×C4×Dic3C2212yes—
30C3×D3×C4⋊C4C418yescomplemented
31C32×#95C2212yes—
32C3×C3⋊#95C2211yescharacteristic
33C3×C3⋊#95C2212yes—
34C3×C3⋊#95C2212yes—
35C3×C3⋊#95C2212yes—
36C3×C3⋊#95C2212yes—
37C3×C3⋊#95C2211yescharacteristic
38C22×C3×C4⋊C4—31no—
39C2×D3×C4⋊C4C2×C311yescharacteristic
40C3×#389—21no—
41C3×#389—31no—
42C3×#389D311yescharacteristic, complemented
43C3×#389C2×C311yescharacteristic, complemented
44C3×#387—32no—
45C3×#387—32no—
46C3×#380—32no—
47C3×#380—31no—
48C3×C4×C4⋊C4—31no—
49C3×C4×C4⋊C4—31no—
50C3×C4×C22⋊C4—31no—
51C3×C4×C22⋊C4—32no—
52#4987C2×C312yes—
53#4987C2×C311yescharacteristic
54#4984C2×C311yescharacteristic, complemented
55#4978C2×C312yescomplemented
56Dic3×C4⋊C4C2×C311yescharacteristic, complemented
57C4×(C2×D3)⋊C4C2×C311yescharacteristic
58C4×C4⋊Dic3C2×C311yescharacteristic, complemented
59#4666C2×C312yes—
60#4655C2×C312yescomplemented
61C23×C3×D3C2311yescharacteristic
62C22×C32×C4C2312yes—
63C22×C32×C4C2311yescharacteristic
64C22×C32×C4C2312yes—
65C22×C32×C4C2311yescharacteristic
66C22×C32×C4C2311yescharacteristic
67C22×C3×Dic3C2311yescharacteristic
68C22×C3×Dic3C2312yes—
69C22×C3×Dic3C2312yes—
70C22×C3×Dic3C2311yescharacteristic
71C22×C3×Dic3C2311yescharacteristic
72C2×C3×C4×D3—22no—
73C2×C3×C4×D3—22no—
74C2×C3×C4×D3—42no—
75C2×C3×C4×D3—42no—
76C2×C3×C4×D3C2×C414yes—
77C2×C3×C4×D3C2×C418yes—
78C32×C4⋊C4—22no—
79C32×C4⋊C4—42no—
80C32×C4⋊C4C2×C414yes—
81C32×C42—22no—
82C3×(C2×D3)⋊C4—24no—
83C3×(C2×D3)⋊C4—22no—
84C3×(C2×D3)⋊C4Q814yes—
85C3×C4⋊Dic3—22no—
86C3×C4⋊Dic3—42no—
87C3×C4⋊Dic3C2×C414yes—
88C3×Dic3⋊C4C2×C418yes—
89C3×C4×Dic3—22no—
90C3×C4×Dic3—42no—
91C3×C4×Dic3—42no—
92#2345—31noSylow
93C23×C3×C4—31no—
94C23×C3×C4—32no—
95C22×C4×D3C22×C311yescharacteristic
96C22×C4×D3C22×C312yes—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4—22no—
100C2×C3×C4⋊C4—32no—
101C2×C3×C4⋊C4—31no—
102C2×C3×C4⋊C4—38no—
103C2×C3×C4⋊C4—31no—
104C2×C3×C4⋊C4—32no—
105C2×C3×C4⋊C4C2×D311yescharacteristic
106C2×C3×C4⋊C4C2×D312yes—
107C2×C3×C4⋊C4C2×D311yescharacteristic
108C2×C3×C4⋊C4C22×C311yescharacteristic
109C2×C3×C4⋊C4C22×C312yes—
110C2×C3×C4⋊C4C22×C311yescharacteristic
111C2×C3×C22⋊C4—31no—
112C2×C3×C22⋊C4—31no—
113C2×C3×C22⋊C4—32no—
114C2×C3×C42—21no—
115C2×C3×C42—31no—
116C2×C3×C42—32no—
117C2×C3×C42—32no—
118C2×C3×C42C2×D311yescharacteristic
119C2×C3×C42C22×C311yescharacteristic
120C2×(C2×D3)⋊C4C22×C312yes—
121C2×(C2×D3)⋊C4C22×C311yescharacteristic
122C2×(C2×D3)⋊C4C22×C311yescharacteristic
123C2×C4⋊Dic3C22×C311yescharacteristic
124C2×C4⋊Dic3C22×C312yes—
125C2×C4⋊Dic3C22×C311yescharacteristic
126C2×Dic3⋊C4C22×C312yes—
127C2×C4×Dic3C22×C311yescharacteristic
128C2×C4×Dic3C22×C312yes—
129C2×C4×Dic3C22×C312yes—
130D3×C4⋊C4C3×C418yescomplemented
131C3×#95—22no—
132C3×#95—31no—
133C3×#95—31no—
134C3×#95—32no—
135C3×#95—32no—
136C3×#95—32no—
137C3×#95—32no—
138C3×#95C2×D312yes—
139C3×#95C22×C312yes—
140C3⋊#95C22×C311yescharacteristic
141C3⋊#95C22×C312yes—
142C3⋊#95C22×C312yes—
143C3⋊#95C22×C312yes—
144C3⋊#95C22×C312yes—
145C3⋊#95C22×C311yescharacteristic
146C23×C32C2411yescharacteristic
147C22×C3×D3—21no—
148C22×C3×D3—21no—
149C22×C3×D3—21no—
150C22×C3×D3—21no—
151C22×C3×D3C22×C412yes—
152C22×C3×D3C2×Q812yes—
153C22×C3×D3#4112yes—
154C2×C32×C4—21no—
155C2×C32×C4—21no—
156C2×C32×C4—21no—
157C2×C32×C4—22no—
158C2×C32×C4—22no—
159C2×C32×C4—21no—
160C2×C32×C4—22no—
161C2×C32×C4—21no—
162C2×C32×C4—22no—
163C2×C32×C4—22no—
164C2×C32×C4C22×C414yes—
165C2×C32×C4C22×C412yes—
166C2×C32×C4C2×Q812yes—
167C2×C32×C4#4112yes—
168C2×C32×C4#4112yes—
169C2×C3×Dic3—21no—
170C2×C3×Dic3—21no—
171C2×C3×Dic3—21no—
172C2×C3×Dic3—21no—
173C2×C3×Dic3—22no—
174C2×C3×Dic3—22no—
175C2×C3×Dic3—21no—
176C2×C3×Dic3—22no—
177C2×C3×Dic3—21no—
178C2×C3×Dic3—22no—
179C2×C3×Dic3—22no—
180C2×C3×Dic3—21no—
181C2×C3×Dic3C22×C412yes—
182C2×C3×Dic3C22×C414yes—
183C2×C3×Dic3C2×Q812yes—
184C3×C4×D3—28no—
185C3×C4×D3—48no—
186C22×C4⋊C4—31no—
187#389—31no—
188#389C3×D311yescharacteristic, complemented
189#387—32no—
190#387—32no—
191#380—32no—
192#380—31no—
193C4×C4⋊C4—31no—
194C4×C4⋊C4—31no—
195C4×C22⋊C4—31no—
196C4×C22⋊C4—32no—
197C24×C3—31no—
198C23×D3C23×C311yescharacteristic
199C22×C3×C4—21no—
200C22×C3×C4—21no—
201C22×C3×C4—22no—
202C22×C3×C4—21no—
203C22×C3×C4—22no—
204C22×C3×C4—31no—
205C22×C3×C4—31no—
206C22×C3×C4—32no—
207C22×C3×C4—34no—
208C22×C3×C4—38no—
209C22×C3×C4—31no—
210C22×C3×C4—32no—
211C22×C3×C4—62no—
212C22×C3×C4—62no—
213C22×C3×C4—122no—
214C22×C3×C4—122no—
215C22×C3×C4C22×D311yescharacteristic
216C22×C3×C4C22×D312yes—
217C22×C3×C4C22×D312yes—
218C22×C3×C4C22×D311yescharacteristic
219C22×C3×C4C22×D311yescharacteristic
220C22×C3×C4C23×C311yescharacteristic
221C22×C3×C4C23×C312yes—
222C22×C3×C4C23×C312yes—
223C22×C3×C4C23×C311yescharacteristic
224C22×C3×C4C23×C311yescharacteristic
225C22×Dic3C23×C311yescharacteristic
226C22×Dic3C23×C312yes—
227C22×Dic3C23×C311yescharacteristic
228C22×Dic3C23×C312yes—
229C22×Dic3C23×C311yescharacteristic
230C2×C4×D3—22no—
231C2×C4×D3—22no—
232C2×C4×D3—42no—
233C2×C4×D3—42no—
234C2×C4×D3C2×C3×C414yes—
235C2×C4×D3C2×C3×C418yes—
236C3×C4⋊C4—22no—
237C3×C4⋊C4—22no—
238C3×C4⋊C4—24no—
239C3×C4⋊C4—38no—
240C3×C4⋊C4—34no—
241C3×C4⋊C4—42no—
242C3×C4⋊C4—42no—
243C3×C4⋊C4—42no—
244C3×C4⋊C4—44no—
245C3×C4⋊C4—62no—
246C3×C4⋊C4—122no—
247C3×C4⋊C4C4×D314yes—
248C3×C4⋊C4C2×C3×C414yes—
249C3×C22⋊C4—34no—
250C3×C22⋊C4—62no—
251C3×C22⋊C4—64no—
252C3×C42—22no—
253C3×C42—22no—
254C3×C42—42no—
255C3×C42—62no—
256C3×C42—122no—
257C3×C42—122no—
258(C2×D3)⋊C4—24no—
259(C2×D3)⋊C4—22no—
260(C2×D3)⋊C4C3×Q814yes—
261C4⋊Dic3—22no—
262C4⋊Dic3—42no—
263C4⋊Dic3C2×C3×C414yes—
264Dic3⋊C4C2×C3×C418yes—
265C4×Dic3—22no—
266C4×Dic3—42no—
267C4×Dic3—42no—
268C22×C32C23×C411yescharacteristic
269C22×C32C22×Q811yescharacteristic
270C22×C32C2×#4111yescharacteristic
271C22×C32C2×#4111yescharacteristic
272C22×C32C2×#4111yescharacteristic
273C22×C32H(5,𝔽2)11yescharacteristic
274C22×C32H(5,𝔽2)11yescharacteristic
275C2×C3×D3—22no—
276C2×C3×D3—22no—
277C2×C3×D3—22no—
278C2×C3×D3—22no—
279C2×C3×D3—22no—
280C2×C3×D3—22no—
281C2×C3×D3C4×Q814yes—
282C32×C4—24no—
283C32×C4—22no—
284C32×C4—41no—
285C32×C4—42no—
286C32×C4#11714yes—
287C3×Dic3—22no—
288C3×Dic3—24no—
289C3×Dic3—22no—
290C3×Dic3—41no—
291C3×Dic3—42no—
292C23×C4—31no—
293C23×C4—32no—
294C2×C4⋊C4—31no—
295C2×C4⋊C4—32no—
296C2×C4⋊C4—38no—
297C2×C4⋊C4—31no—
298C2×C4⋊C4—32no—
299C2×C4⋊C4C2×C3×D311yescharacteristic
300C2×C4⋊C4C2×C3×D312yes—
301C2×C4⋊C4C2×C3×D311yescharacteristic
302C2×C22⋊C4—31no—
303C2×C22⋊C4—31no—
304C2×C22⋊C4—32no—
305C2×C42—31no—
306C2×C42—32no—
307C2×C42—32no—
308C2×C42C2×C3×D311yescharacteristic
309#95—31no—
310#95—31no—
311#95—32no—
312#95—32no—
313#95—32no—
314#95—32no—
315#95C2×C3×D312yes—
316C23×C3—21no—
317C23×C3—32no—
318C23×C3—32no—
319C23×C3—32no—
320C23×C3—61no—
321C23×C3—61no—
322C23×C3—61no—
323C23×C3—61no—
324C23×C3C23×D311yescharacteristic
325C23×C3C24×C311yescharacteristic
326C22×D3—21no—
327C22×D3—21no—
328C22×D3—21no—
329C22×D3—21no—
330C22×D3C22×C3×C412yes—
331C22×D3C2×C3×Q812yes—
332C22×D3C3×#4112yes—
333C2×C3×C4—21no—
334C2×C3×C4—22no—
335C2×C3×C4—21no—
336C2×C3×C4—22no—
337C2×C3×C4—21no—
338C2×C3×C4—21no—
339C2×C3×C4—22no—
340C2×C3×C4—22no—
341C2×C3×C4—22no—
342C2×C3×C4—21no—
343C2×C3×C4—22no—
344C2×C3×C4—22no—
345C2×C3×C4—21no—
346C2×C3×C4—21no—
347C2×C3×C4—22no—
348C2×C3×C4—21no—
349C2×C3×C4—22no—
350C2×C3×C4—21no—
351C2×C3×C4—22no—
352C2×C3×C4—22no—
353C2×C3×C4—21no—
354C2×C3×C4—22no—
355C2×C3×C4—24no—
356C2×C3×C4—22no—
357C2×C3×C4—22no—
358C2×C3×C4—22no—
359C2×C3×C4—32no—
360C2×C3×C4—34no—
361C2×C3×C4—32no—
362C2×C3×C4—41no—
363C2×C3×C4—41no—
364C2×C3×C4—42no—
365C2×C3×C4—41no—
366C2×C3×C4—42no—
367C2×C3×C4—41no—
368C2×C3×C4—42no—
369C2×C3×C4—42no—
370C2×C3×C4—42no—
371C2×C3×C4—61no—
372C2×C3×C4—61no—
373C2×C3×C4—62no—
374C2×C3×C4—61no—
375C2×C3×C4—61no—
376C2×C3×C4—62no—
377C2×C3×C4—68no—
378C2×C3×C4—61no—
379C2×C3×C4—62no—
380C2×C3×C4—61no—
381C2×C3×C4—62no—
382C2×C3×C4—62no—
383C2×C3×C4—61no—
384C2×C3×C4—128no—
385C2×C3×C4C2×C4×D314yes—
386C2×C3×C4C2×C4×D312yes—
387C2×C3×C4#23712yes—
388C2×C3×C4D3×Q812yes—
389C2×C3×C4#23912yes—
390C2×C3×C4C22×C3×C414yes—
391C2×C3×C4C22×C3×C412yes—
392C2×C3×C4C2×C3×Q812yes—
393C2×C3×C4C3×#4112yes—
394C2×C3×C4C3×#4112yes—
395C2×Dic3—21no—
396C2×Dic3—21no—
397C2×Dic3—21no—
398C2×Dic3—21no—
399C2×Dic3—22no—
400C2×Dic3—22no—
401C2×Dic3—21no—
402C2×Dic3—22no—
403C2×Dic3—21no—
404C2×Dic3—22no—
405C2×Dic3—22no—
406C2×Dic3—21no—
407C2×Dic3C22×C3×C412yes—
408C2×Dic3C22×C3×C414yes—
409C2×Dic3C2×C3×Q812yes—
410C4×D3—28no—
411C4×D3—48no—
412C2×C32C2×#11711yescharacteristic
413C2×C32C2×C4×Q811yescharacteristic
414C2×C32#51811yescharacteristic
415C2×C32#55311yescharacteristic
416C2×C32#55311yescharacteristic
417C2×C32#55411yescharacteristic
418C2×C32#55411yescharacteristic
419C3×D3—24no—
420C24—31no—
421C22×C4—31no—
422C22×C4—31no—
423C22×C4—32no—
424C22×C4—34no—
425C22×C4—38no—
426C22×C4—31no—
427C22×C4—32no—
428C22×C4—62no—
429C22×C4—62no—
430C22×C4—122no—
431C22×C4—122no—
432C22×C4C22×C3×D311yescharacteristic
433C22×C4C22×C3×D312yes—
434C22×C4C22×C3×D312yes—
435C22×C4C22×C3×D311yescharacteristic
436C22×C4C22×C3×D311yescharacteristic
437C4⋊C4—22no—
438C4⋊C4—38no—
439C4⋊C4—34no—
440C4⋊C4—42no—
441C4⋊C4—62no—
442C4⋊C4—122no—
443C4⋊C4C3×C4×D314yes—
444C22⋊C4—34no—
445C22⋊C4—62no—
446C22⋊C4—64no—
447C42—22no—
448C42—62no—
449C42—122no—
450C42—122no—
451C22×C3—21no—
452C22×C3—21no—
453C22×C3—21no—
454C22×C3—21no—
455C22×C3—21no—
456C22×C3—21no—
457C22×C3—21no—
458C22×C3—34no—
459C22×C3—62no—
460C22×C3—62no—
461C22×C3—62no—
462C22×C3—62no—
463C22×C3—62no—
464C22×C3—62no—
465C22×C3C22×C4×D311yescharacteristic
466C22×C3C2×#23711yescharacteristic
467C22×C3#100411yescharacteristic
468C22×C3C2×D3×Q811yescharacteristic
469C22×C3C2×#23911yescharacteristic
470C22×C3D3×#4111yescharacteristic
471C22×C3#100911yescharacteristic
472C22×C3C23×C3×C411yescharacteristic
473C22×C3C22×C3×Q811yescharacteristic
474C22×C3C2×C3×#4111yescharacteristic
475C22×C3C2×C3×#4111yescharacteristic
476C22×C3C2×C3×#4111yescharacteristic
477C22×C3C3×H(5,𝔽2)11yescharacteristic
478C22×C3C3×H(5,𝔽2)11yescharacteristic
479C2×D3—22no—
480C2×D3—22no—
481C2×D3—22no—
482C2×D3—22no—
483C2×D3—22no—
484C2×D3—22no—
485C2×D3C3×C4×Q814yes—
486C3×C4—22no—
487C3×C4—24no—
488C3×C4—24no—
489C3×C4—22no—
490C3×C4—24no—
491C3×C4—44no—
492C3×C4—42no—
493C3×C4—42no—
494C3×C4—41no—
495C3×C4—42no—
496C3×C4—41no—
497C3×C4—42no—
498C3×C4—62no—
499C3×C4—62no—
500C3×C4—64no—
501C3×C4—82no—
502C3×C4—121no—
503C3×C4—122no—
504C3×C4#89214yes—
505C3×C4C3×#11714yes—
506Dic3—22no—
507Dic3—24no—
508Dic3—22no—
509Dic3—41no—
510Dic3—42no—
511C32#234511yescharacteristic, complemented, Sylow
512C23—32no—
513C23—32no—
514C23—32no—
515C23—61no—
516C23—61no—
517C23—61no—
518C23—61no—
519C23C23×C3×D311yescharacteristic
520C2×C4—21no—
521C2×C4—22no—
522C2×C4—21no—
523C2×C4—22no—
524C2×C4—21no—
525C2×C4—22no—
526C2×C4—22no—
527C2×C4—21no—
528C2×C4—21no—
529C2×C4—22no—
530C2×C4—32no—
531C2×C4—34no—
532C2×C4—32no—
533C2×C4—61no—
534C2×C4—61no—
535C2×C4—62no—
536C2×C4—61no—
537C2×C4—61no—
538C2×C4—62no—
539C2×C4—68no—
540C2×C4—61no—
541C2×C4—62no—
542C2×C4—61no—
543C2×C4—62no—
544C2×C4—62no—
545C2×C4—61no—
546C2×C4—128no—
547C2×C4C2×C3×C4×D314yes—
548C2×C4C2×C3×C4×D312yes—
549C2×C4C3×#23712yes—
550C2×C4C3×D3×Q812yes—
551C2×C4C3×#23912yes—
552C2×C3—21no—
553C2×C3—21no—
554C2×C3—21no—
555C2×C3—21no—
556C2×C3—21no—
557C2×C3—21no—
558C2×C3—21no—
559C2×C3—64no—
560C2×C3C2×#89211yescharacteristic
561C2×C3#554511yescharacteristic
562C2×C3C4×D3×Q811yescharacteristic
563C2×C3#561411yescharacteristic
564C2×C3#563511yescharacteristic
565C2×C3#569511yescharacteristic
566C2×C3#573011yescharacteristic
567C2×C3C2×C3×#11711yescharacteristic
568C2×C3C2×C3×C4×Q811yescharacteristic
569C2×C3C3×#51811yescharacteristic
570C2×C3C3×#55311yescharacteristic
571C2×C3C3×#55311yescharacteristic
572C2×C3C3×#55411yescharacteristic
573C2×C3C3×#55411yescharacteristic
574D3—24no—
575C22—34no—
576C22—62no—
577C22—62no—
578C22—62no—
579C22—62no—
580C22—62no—
581C22—62no—
582C22C22×C3×C4×D311yescharacteristic
583C22C2×C3×#23711yescharacteristic
584C22C3×#100411yescharacteristic
585C22C2×C3×D3×Q811yescharacteristic
586C22C2×C3×#23911yescharacteristic
587C22C3×D3×#4111yescharacteristic
588C22C3×#100911yescharacteristic
589C4—24no—
590C4—22no—
591C4—41no—
592C4—42no—
593C4—62no—
594C4—64no—
595C4—62no—
596C4—121no—
597C4—122no—
598C4C3×#89214yes—
599C3—21no—
600C3#7620111yescharacteristic, direct product factor
601C3C3×#234511yescharacteristic, complemented
602C2—64no—
603C2C2×C3×#89211yescharacteristic
604C2C3×#554511yescharacteristic
605C2C3×C4×D3×Q811yescharacteristic
606C2C3×#561411yescharacteristic
607C2C3×#563511yescharacteristic
608C2C3×#569511yescharacteristic
609C2C3×#573011yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC32×#389C2
socleC23×C32C24
prime radicalC23×C3×D3C23
cosocleC23×C3C24×C3
hypercenterC3×#389D3
hypocenterC3C3×#2345
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C3×#389

Complements

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

NH ≅ G/Ntype
2. C32×#389C2semidirect
5. C3×#4984C2semidirect
6. C3×#4978C2semidirect
7. C3×Dic3×C4⋊C4C2semidirect
9. C3×C4×C4⋊Dic3C2semidirect
11. C3×#4655C2semidirect
13. #76201C3direct (N × H)
30. C3×D3×C4⋊C4C4semidirect
42. C3×#389D3semidirect
43. C3×#389C2×C3semidirect
54. #4984C2×C3semidirect
55. #4978C2×C3semidirect
56. Dic3×C4⋊C4C2×C3semidirect
58. C4×C4⋊Dic3C2×C3semidirect
60. #4655C2×C3semidirect
130. D3×C4⋊C4C3×C4semidirect
188. #389C3×D3semidirect
511. C32#2345semidirect
600. C3#76201direct (N × H)
601. C3C3×#2345semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×C4⋊C42
C32×#3892
C3×#49872
C3×#49842
C3×#49782
C3×Dic3×C4⋊C42
C3×C4×(C2×D3)⋊C42
C3×C4×C4⋊Dic32
C3×#46662
C3×#46552
C3×#23453
#762013