Finite Group Databasebeta

← C3×#73873 #11803643

Subgroups — C3×#73873 #11803643

Order 1152.

1509 conjugacy classes of subgroups.

The subgroup lattice has 665 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#930C211yesmaximal, characteristic
2C2×C3×#67⋊C4C212yesmaximal, complemented
3C32×#380C211yesmaximal, characteristic, complemented
4C2×C3×C3⋊#95C211yesmaximal, characteristic, complemented
5C3×#4990C212yesmaximal, complemented
6C3×#4989C212yesmaximal, complemented
7C3×#4958C212yesmaximal, complemented
8C3×#4665C212yesmaximal, complemented
9C3×#4654C212yesmaximal, complemented
10C3×#2325—31nomaximal
11#73873C311yesmaximal, characteristic, direct product factor
12C23×C32×C4C2211yescharacteristic
13C22×C3×#67C2212yes—
14C23×C3×Dic3C2211yescharacteristic
15C23×C3×Dic3C2211yescharacteristic
16C22×C3×D12C2211yescharacteristic
17C22×C3×C4×D3C2212yes—
18C2×C32×C4⋊C4C2211yescharacteristic
19C2×C32×C4⋊C4C2211yescharacteristic
20C2×C32×C22⋊C4C2212yes—
21C3×#930C418yescomplemented
22C2×C3×(C2×D3)⋊C4C2212yes—
23C2×C3×(C2×D3)⋊C4C2212yes—
24C2×C3×(C2×D3)⋊C4C2212yes—
25C2×C3×(C2×D3)⋊C4C2212yes—
26C2×C3×C4⋊Dic3C2211yescharacteristic
27C2×C3×Dic3⋊C4C2212yes—
28C2×C3×C4×Dic3C2212yes—
29C3×#67⋊C4—28no—
30C32×#95C2212yes—
31C3×C3⋊#95C2212yes—
32C3×C3⋊#95C2212yes—
33C3×C3⋊#95C2212yes—
34C3×C3⋊#95C2212yes—
35C2×C3×#121—31no—
36C2×C3×C4×D4—32no—
37C2×#930C2×C311yescharacteristic
38C2×#67⋊C4C2×C312yescomplemented
39C3×#388—32no—
40C3×#387—32no—
41C3×#386—32no—
42C3×#386—32no—
43C3×#385—32no—
44C3×#380—21no—
45C3×#380D311yescharacteristic, complemented
46C3×#380C2×C311yescharacteristic, complemented
47C2×C3×#95—31no—
48C2×C3⋊#95C2×C311yescharacteristic, complemented
49#4990C2×C312yescomplemented
50#4989C2×C312yescomplemented
51#4958C2×C312yescomplemented
52#4665C2×C312yescomplemented
53#4654C2×C312yescomplemented
54C24×C32C2311yescharacteristic
55C23×C3×D3C2312yes—
56C22×C32×C4—41no—
57C22×C32×C4—41no—
58C22×C32×C4C2×C414yescomplemented
59C22×C32×C4C2312yes—
60C22×C32×C4C2312yes—
61C22×C32×C4C2311yescharacteristic
62C22×C32×C4C2311yescharacteristic
63C2×C3×#67—24no—
64C2×C3×#67—24no—
65C2×C3×#67C2×C418yescomplemented
66C22×C3×Dic3—22no—
67C22×C3×Dic3—41no—
68C22×C3×Dic3—41no—
69C22×C3×Dic3—41no—
70C22×C3×Dic3—41no—
71C22×C3×Dic3D414yescomplemented
72C22×C3×Dic3C2312yes—
73C22×C3×Dic3C2312yes—
74C22×C3×Dic3C2312yes—
75C2×C3×D12—41no—
76C2×C3×D12—41no—
77C2×C3×D12C2×C414yescomplemented
78C2×C3×C4×D3—24no—
79C2×C3×C4×D3—42no—
80C2×C3×C4×D3—42no—
81C32×C4⋊C4—41no—
82C32×C4⋊C4—41no—
83C32×C22⋊C4—24no—
84C3×(C2×D3)⋊C4—24no—
85C3×(C2×D3)⋊C4—42no—
86C3×(C2×D3)⋊C4—42no—
87C3×(C2×D3)⋊C4C2×C418yescomplemented
88C3×C4⋊Dic3C2×C414yescomplemented
89C3×Dic3⋊C4—24no—
90C3×C4×Dic3—24no—
91#2325—31noSylow
92C22×C3×D4—32no—
93C22×C3×D4—31no—
94C23×C3×C4—21no—
95C23×C3×C4—31no—
96C23×C3×C4—31no—
97C23×C3×C4—32no—
98C23×C3×C4C2×D311yescharacteristic
99C23×C3×C4C22×C311yescharacteristic
100C22×#67C22×C312yes—
101C23×Dic3C22×C311yescharacteristic
102C23×Dic3C22×C311yescharacteristic
103C22×D12C22×C311yescharacteristic
104C22×C4×D3C22×C312yes—
105C3×#121—38no—
106C3×C4×D4—68no—
107C2×C3×C4⋊C4—21no—
108C2×C3×C4⋊C4—21no—
109C2×C3×C4⋊C4—31no—
110C2×C3×C4⋊C4—32no—
111C2×C3×C4⋊C4C2×D311yescharacteristic
112C2×C3×C4⋊C4C2×D311yescharacteristic
113C2×C3×C4⋊C4C22×C311yescharacteristic
114C2×C3×C4⋊C4C22×C311yescharacteristic
115C2×C3×C22⋊C4—22no—
116C2×C3×C22⋊C4—32no—
117C2×C3×C22⋊C4—32no—
118C2×C3×C22⋊C4—32no—
119C2×C3×C22⋊C4—32no—
120C2×C3×C22⋊C4C2×D312yes—
121C2×C3×C22⋊C4C22×C312yes—
122C2×C3×C42—32no—
123#930C3×C418yescomplemented
124C2×(C2×D3)⋊C4C22×C312yes—
125C2×(C2×D3)⋊C4C22×C312yes—
126C2×(C2×D3)⋊C4C22×C312yes—
127C2×(C2×D3)⋊C4C22×C312yes—
128C2×C4⋊Dic3C22×C311yescharacteristic
129C2×Dic3⋊C4C22×C312yes—
130C2×C4×Dic3C22×C312yes—
131#67⋊C4—28no—
132C3×#95—22no—
133C3×#95—32no—
134C3×#95—32no—
135C3×#95—32no—
136C3×#95—32no—
137C3×#95C2×D312yes—
138C3×#95C22×C312yes—
139C3⋊#95C22×C312yes—
140C3⋊#95C22×C312yes—
141C3⋊#95C22×C312yes—
142C3⋊#95C22×C312yes—
143C23×C32—21no—
144C23×C32—21no—
145C23×C32—21no—
146C23×C32—21no—
147C23×C32C22×C412yes—
148C23×C32C2×D412yes—
149C23×C32#4112yes—
150C23×C32C2411yescharacteristic
151C22×C3×D3—22no—
152C22×C3×D3—22no—
153C22×C3×D3—22no—
154C22×C3×D3—22no—
155C22×C3×D3—22no—
156C22×C3×D3—22no—
157C22×C3×D3C22×C414yes—
158C2×C32×C4—21no—
159C2×C32×C4—21no—
160C2×C32×C4—21no—
161C2×C32×C4—21no—
162C2×C32×C4—22no—
163C2×C32×C4—22no—
164C2×C32×C4—22no—
165C2×C32×C4—22no—
166C2×C32×C4—22no—
167C2×C32×C4—22no—
168C2×C32×C4—44no—
169C2×C32×C4C22×C412yes—
170C2×C32×C4C22×C412yes—
171C3×#67—216no—
172C2×C3×Dic3—22no—
173C2×C3×Dic3—22no—
174C2×C3×Dic3—22no—
175C2×C3×Dic3—22no—
176C2×C3×Dic3—22no—
177C2×C3×Dic3—22no—
178C2×C3×Dic3—22no—
179C2×C3×Dic3—44no—
180C2×C3×Dic3—44no—
181C2×C3×Dic3C22×C414yes—
182C2×C3×Dic3C2×D414yes—
183C3×D12—44no—
184C3×C4×D3—48no—
185C2×#121—31no—
186C2×C4×D4—32no—
187#388—32no—
188#387—32no—
189#386—32no—
190#386—32no—
191#385—32no—
192#380C3×D311yescharacteristic, complemented
193C2×#95—31no—
194C24×C3—21no—
195C24×C3—32no—
196C24×C3C22×D311yescharacteristic
197C24×C3C23×C311yescharacteristic
198C23×D3C23×C312yes—
199C2×C3×D4—38no—
200C2×C3×D4—34no—
201C2×C3×D4—64no—
202C2×C3×D4—64no—
203C2×C3×D4—121no—
204C2×C3×D4—121no—
205C22×C3×C4—24no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—22no—
209C22×C3×C4—22no—
210C22×C3×C4—32no—
211C22×C3×C4—32no—
212C22×C3×C4—34no—
213C22×C3×C4—32no—
214C22×C3×C4—41no—
215C22×C3×C4—41no—
216C22×C3×C4—41no—
217C22×C3×C4—41no—
218C22×C3×C4—42no—
219C22×C3×C4—42no—
220C22×C3×C4—64no—
221C22×C3×C4—62no—
222C22×C3×C4—122no—
223C22×C3×C4—122no—
224C22×C3×C4—121no—
225C22×C3×C4—121no—
226C22×C3×C4—121no—
227C22×C3×C4—121no—
228C22×C3×C4C4×D314yescomplemented
229C22×C3×C4C2×C3×C414yescomplemented
230C22×C3×C4C22×D312yes—
231C22×C3×C4C22×D312yes—
232C22×C3×C4C22×D311yescharacteristic
233C22×C3×C4C22×D311yescharacteristic
234C22×C3×C4C23×C312yes—
235C22×C3×C4C23×C312yes—
236C22×C3×C4C23×C311yescharacteristic
237C22×C3×C4C23×C311yescharacteristic
238C2×#67—24no—
239C2×#67—24no—
240C2×#67C2×C3×C418yescomplemented
241C22×Dic3—22no—
242C22×Dic3—41no—
243C22×Dic3—41no—
244C22×Dic3—41no—
245C22×Dic3—41no—
246C22×Dic3C3×D414yescomplemented
247C22×Dic3C23×C312yes—
248C22×Dic3C23×C312yes—
249C22×Dic3C23×C312yes—
250C2×D12—41no—
251C2×D12—41no—
252C2×D12C2×C3×C414yescomplemented
253C2×C4×D3—24no—
254C2×C4×D3—42no—
255C2×C4×D3—42no—
256C3×C4⋊C4—34no—
257C3×C4⋊C4—41no—
258C3×C4⋊C4—41no—
259C3×C4⋊C4—41no—
260C3×C4⋊C4—41no—
261C3×C4⋊C4—42no—
262C3×C4⋊C4—42no—
263C3×C4⋊C4—64no—
264C3×C22⋊C4—24no—
265C3×C22⋊C4—24no—
266C3×C22⋊C4—38no—
267C3×C22⋊C4—44no—
268C3×C22⋊C4—64no—
269C3×C22⋊C4—122no—
270C3×C22⋊C4—122no—
271C3×C42—64no—
272(C2×D3)⋊C4—24no—
273(C2×D3)⋊C4—42no—
274(C2×D3)⋊C4—42no—
275(C2×D3)⋊C4C2×C3×C418yescomplemented
276C4⋊Dic3C2×C3×C414yescomplemented
277Dic3⋊C4—24no—
278C4×Dic3—24no—
279C22×C32—22no—
280C22×C32—22no—
281C22×C32—22no—
282C22×C32—22no—
283C22×C32—22no—
284C22×C32—22no—
285C22×C32C4×D414yes—
286C22×C32C23×C411yescharacteristic
287C22×C32C22×D411yescharacteristic
288C22×C32C2×#4111yescharacteristic
289C22×C32H(5,𝔽2)11yescharacteristic
290C22×C32H(5,𝔽2)11yescharacteristic
291C22×C32H(5,𝔽2)11yescharacteristic
292C22×C322−1+411yescharacteristic
293C2×C3×D3—24no—
294C2×C3×D3—24no—
295C2×C3×D3—24no—
296C2×C3×D3—42no—
297C2×C3×D3—42no—
298C2×C3×D3—42no—
299C2×C3×D3—42no—
300C32×C4—22no—
301C32×C4—22no—
302C32×C4—42no—
303C32×C4—42no—
304C3×Dic3—24no—
305C3×Dic3—24no—
306C3×Dic3—42no—
307C22×D4—32no—
308C22×D4—31no—
309C23×C4—31no—
310C23×C4—31no—
311C23×C4—32no—
312C23×C4C2×C3×D311yescharacteristic
313#121—38no—
314C4×D4—68no—
315C2×C4⋊C4—31no—
316C2×C4⋊C4—32no—
317C2×C4⋊C4C2×C3×D311yescharacteristic
318C2×C4⋊C4C2×C3×D311yescharacteristic
319C2×C22⋊C4—32no—
320C2×C22⋊C4—32no—
321C2×C22⋊C4—32no—
322C2×C22⋊C4—32no—
323C2×C22⋊C4C2×C3×D312yes—
324C2×C42—32no—
325#95—32no—
326#95—32no—
327#95—32no—
328#95—32no—
329#95C2×C3×D312yes—
330C23×C3—21no—
331C23×C3—21no—
332C23×C3—21no—
333C23×C3—21no—
334C23×C3—21no—
335C23×C3—21no—
336C23×C3—21no—
337C23×C3—21no—
338C23×C3—21no—
339C23×C3—22no—
340C23×C3—22no—
341C23×C3—22no—
342C23×C3—34no—
343C23×C3—41no—
344C23×C3—41no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—62no—
348C23×C3—62no—
349C23×C3—62no—
350C23×C3—62no—
351C23×C3—62no—
352C23×C3—62no—
353C23×C3C2×C4×D312yes—
354C23×C3D3×D412yes—
355C23×C3#23912yes—
356C23×C3C22×C3×C412yes—
357C23×C3C2×C3×D412yes—
358C23×C3C3×#4112yes—
359C23×C3C23×D311yescharacteristic
360C23×C3C24×C311yescharacteristic
361C22×D3—22no—
362C22×D3—22no—
363C22×D3—22no—
364C22×D3—22no—
365C22×D3—22no—
366C22×D3—22no—
367C22×D3C22×C3×C414yes—
368C3×D4—616no—
369C3×D4—124no—
370C2×C3×C4—22no—
371C2×C3×C4—22no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—22no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—22no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—34no—
395C2×C3×C4—34no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—42no—
399C2×C3×C4—42no—
400C2×C3×C4—42no—
401C2×C3×C4—42no—
402C2×C3×C4—42no—
403C2×C3×C4—42no—
404C2×C3×C4—44no—
405C2×C3×C4—44no—
406C2×C3×C4—48no—
407C2×C3×C4—62no—
408C2×C3×C4—62no—
409C2×C3×C4—62no—
410C2×C3×C4—62no—
411C2×C3×C4—62no—
412C2×C3×C4—62no—
413C2×C3×C4—62no—
414C2×C3×C4—128no—
415C2×C3×C4—124no—
416C2×C3×C4—124no—
417C2×C3×C4C2×C4×D312yes—
418C2×C3×C4C2×C4×D312yes—
419C2×C3×C4C22×C3×C412yes—
420C2×C3×C4C22×C3×C412yes—
421#67—216no—
422C2×Dic3—22no—
423C2×Dic3—22no—
424C2×Dic3—22no—
425C2×Dic3—22no—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3—22no—
429C2×Dic3—44no—
430C2×Dic3—44no—
431C2×Dic3C22×C3×C414yes—
432C2×Dic3C2×C3×D414yes—
433D12—44no—
434C4×D3—48no—
435C2×C32—24no—
436C2×C32C2×C4×D411yescharacteristic
437C2×C32#51811yescharacteristic
438C2×C32#52011yescharacteristic
439C2×C32#53411yescharacteristic
440C2×C32#53711yescharacteristic
441C2×C32#53811yescharacteristic
442C2×C32#53911yescharacteristic
443C3×D3—44no—
444C24—32no—
445C24C22×C3×D311yescharacteristic
446C2×D4—38no—
447C2×D4—34no—
448C2×D4—64no—
449C2×D4—64no—
450C2×D4—121no—
451C2×D4—121no—
452C22×C4—32no—
453C22×C4—32no—
454C22×C4—34no—
455C22×C4—32no—
456C22×C4—41no—
457C22×C4—41no—
458C22×C4—64no—
459C22×C4—62no—
460C22×C4—122no—
461C22×C4—122no—
462C22×C4—121no—
463C22×C4—121no—
464C22×C4—121no—
465C22×C4—121no—
466C22×C4C3×C4×D314yescomplemented
467C22×C4C22×C3×D312yes—
468C22×C4C22×C3×D312yes—
469C22×C4C22×C3×D311yescharacteristic
470C22×C4C22×C3×D311yescharacteristic
471C4⋊C4—34no—
472C4⋊C4—41no—
473C4⋊C4—41no—
474C4⋊C4—64no—
475C22⋊C4—24no—
476C22⋊C4—38no—
477C22⋊C4—64no—
478C22⋊C4—122no—
479C22⋊C4—122no—
480C42—64no—
481C22×C3—22no—
482C22×C3—22no—
483C22×C3—22no—
484C22×C3—22no—
485C22×C3—22no—
486C22×C3—22no—
487C22×C3—22no—
488C22×C3—22no—
489C22×C3—22no—
490C22×C3—22no—
491C22×C3—22no—
492C22×C3—22no—
493C22×C3—24no—
494C22×C3—21no—
495C22×C3—21no—
496C22×C3—21no—
497C22×C3—21no—
498C22×C3—21no—
499C22×C3—21no—
500C22×C3—21no—
501C22×C3—42no—
502C22×C3—42no—
503C22×C3—42no—
504C22×C3—42no—
505C22×C3—42no—
506C22×C3—42no—
507C22×C3—64no—
508C22×C3—64no—
509C22×C3—64no—
510C22×C3—122no—
511C22×C3—122no—
512C22×C3—122no—
513C22×C3—122no—
514C22×C3#89314yes—
515C22×C3C3×C4×D414yes—
516C22×C3C22×C4×D311yescharacteristic
517C22×C3C2×D3×D411yescharacteristic
518C22×C3#100411yescharacteristic
519C22×C3#100411yescharacteristic
520C22×C3C2×#23911yescharacteristic
521C22×C3#100911yescharacteristic
522C22×C3#101011yescharacteristic
523C22×C3C23×C3×C411yescharacteristic
524C22×C3C22×C3×D411yescharacteristic
525C22×C3C2×C3×#4111yescharacteristic
526C22×C3C3×H(5,𝔽2)11yescharacteristic
527C22×C3C3×H(5,𝔽2)11yescharacteristic
528C22×C3C3×H(5,𝔽2)11yescharacteristic
529C22×C3C3×2−1+411yescharacteristic
530C2×D3—24no—
531C2×D3—24no—
532C2×D3—24no—
533C2×D3—42no—
534C2×D3—42no—
535C2×D3—42no—
536C2×D3—42no—
537C3×C4—24no—
538C3×C4—22no—
539C3×C4—22no—
540C3×C4—22no—
541C3×C4—22no—
542C3×C4—42no—
543C3×C4—42no—
544C3×C4—42no—
545C3×C4—42no—
546C3×C4—42no—
547C3×C4—64no—
548C3×C4—64no—
549C3×C4—82no—
550C3×C4—82no—
551C3×C4—122no—
552Dic3—24no—
553Dic3—24no—
554Dic3—42no—
555C32#232511yescharacteristic, complemented, Sylow
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—34no—
561C23—62no—
562C23—62no—
563C23—62no—
564C23—62no—
565C23—62no—
566C23—62no—
567C23C2×C3×C4×D312yes—
568C23C3×D3×D412yes—
569C23C3×#23912yes—
570C23C23×C3×D311yescharacteristic
571D4—616no—
572D4—124no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—34no—
584C2×C4—34no—
585C2×C4—44no—
586C2×C4—62no—
587C2×C4—62no—
588C2×C4—62no—
589C2×C4—62no—
590C2×C4—62no—
591C2×C4—62no—
592C2×C4—62no—
593C2×C4—128no—
594C2×C4—124no—
595C2×C4—124no—
596C2×C4C2×C3×C4×D312yes—
597C2×C4C2×C3×C4×D312yes—
598C2×C3—24no—
599C2×C3—24no—
600C2×C3—21no—
601C2×C3—21no—
602C2×C3—21no—
603C2×C3—21no—
604C2×C3—21no—
605C2×C3—21no—
606C2×C3—21no—
607C2×C3—44no—
608C2×C3—124no—
609C2×C3#548611yescharacteristic
610C2×C3C2×#89311yescharacteristic
611C2×C3#552311yescharacteristic
612C2×C3#559711yescharacteristic
613C2×C3#560511yescharacteristic
614C2×C3#564411yescharacteristic
615C2×C3#564511yescharacteristic
616C2×C3C2×C3×C4×D411yescharacteristic
617C2×C3C3×#51811yescharacteristic
618C2×C3C3×#52011yescharacteristic
619C2×C3C3×#53411yescharacteristic
620C2×C3C3×#53711yescharacteristic
621C2×C3C3×#53811yescharacteristic
622C2×C3C3×#53911yescharacteristic
623D3—44no—
624C22—22no—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—64no—
631C22—64no—
632C22—64no—
633C22—122no—
634C22—122no—
635C22—122no—
636C22—122no—
637C22C3×#89314yes—
638C22C22×C3×C4×D311yescharacteristic
639C22C2×C3×D3×D411yescharacteristic
640C22C3×#100411yescharacteristic
641C22C3×#100411yescharacteristic
642C22C2×C3×#23911yescharacteristic
643C22C3×#100911yescharacteristic
644C22C3×#101011yescharacteristic
645C4—22no—
646C4—22no—
647C4—42no—
648C4—42no—
649C4—64no—
650C4—64no—
651C4—122no—
652C3—21no—
653C3#7387311yescharacteristic, direct product factor
654C3C3×#232511yescharacteristic, complemented
655C2—24no—
656C2—124no—
657C2C3×#548611yescharacteristic
658C2C2×C3×#89311yescharacteristic
659C2C3×#552311yescharacteristic
660C2C3×#559711yescharacteristic
661C2C3×#560511yescharacteristic
662C2C3×#564411yescharacteristic
663C2C3×#564511yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC32×#380C2
socleC23×C32C24
prime radicalC2×C3×#930C2
cosocleC23×C3C24×C3
hypercenterC3×#380D3
hypocenterC3C3×#2325
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C3×#380

Complements

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

NH ≅ G/Ntype
2. C2×C3×#67⋊C4C2semidirect
3. C32×#380C2semidirect
4. C2×C3×C3⋊#95C2semidirect
5. C3×#4990C2semidirect
6. C3×#4989C2semidirect
7. C3×#4958C2semidirect
8. C3×#4665C2semidirect
9. C3×#4654C2semidirect
11. #73873C3direct (N × H)
21. C3×#930C4semidirect
38. C2×#67⋊C4C2×C3semidirect
45. C3×#380D3semidirect
46. C3×#380C2×C3semidirect
48. C2×C3⋊#95C2×C3semidirect
49. #4990C2×C3semidirect
50. #4989C2×C3semidirect
51. #4958C2×C3semidirect
52. #4665C2×C3semidirect
53. #4654C2×C3semidirect
58. C22×C32×C4C2×C4semidirect
65. C2×C3×#67C2×C4semidirect
71. C22×C3×Dic3D4semidirect
77. C2×C3×D12C2×C4semidirect
87. C3×(C2×D3)⋊C4C2×C4semidirect
88. C3×C4⋊Dic3C2×C4semidirect
123. #930C3×C4semidirect
192. #380C3×D3semidirect
228. C22×C3×C4C4×D3semidirect
229. C22×C3×C4C2×C3×C4semidirect
240. C2×#67C2×C3×C4semidirect
246. C22×Dic3C3×D4semidirect
252. C2×D12C2×C3×C4semidirect
275. (C2×D3)⋊C4C2×C3×C4semidirect
276. C4⋊Dic3C2×C3×C4semidirect
466. C22×C4C3×C4×D3semidirect
555. C32#2325semidirect
653. C3#73873direct (N × H)
654. C3C3×#2325semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#9302
C2×C3×#67⋊C42
C32×#3802
C2×C3×C3⋊#952
C3×#49902
C3×#49892
C3×#49582
C3×#46652
C3×#46542
C3×#23253
#738733