Finite Group Databasebeta

← C3×#68962 #11787928

Subgroups — C3×#68962 #11787928

Order 1152.

1227 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#882C211yesmaximal, characteristic
2C3×#5486C211yesmaximal, characteristic, complemented
3C3×#4955C211yesmaximal, characteristic, complemented
4C3×#4955C211yesmaximal, characteristic, complemented
5C2×C3×#806C211yesmaximal, characteristic, complemented
6C32×#342C211yesmaximal, characteristic, complemented
7C3×#4527C211yesmaximal, characteristic, complemented
8C3×#1889—31nomaximal
9#68962C311yesmaximal, characteristic, direct product factor
10C24×C3×D3C2211yescharacteristic
11C22×C3×#67C2211yescharacteristic
12C22×C3×D12—21no—
13C2×C32×C22⋊C4C2211yescharacteristic
14C2×C32×C22⋊C4C2211yescharacteristic
15C2×C32×C22⋊C4C2211yescharacteristic
16C2×C3×#217C2211yescharacteristic
17C2×C3×#217C2211yescharacteristic
18C3×C4×#67—22no—
19C2×C3×(C2×D3)⋊C4—21no—
20C2×C3×(C2×D3)⋊C4—22no—
21C2×C3×(C2×D3)⋊C4—22no—
22C3×#882—22no—
23C3×#882C414yescomplemented
24C3×#67⋊C4—22no—
25C3×D3×C22⋊C4—21no—
26C3×#877—21no—
27C3×#806—22no—
28C2×C3×#120—31no—
29C3×#518—31no—
30C2×#882C2×C311yescharacteristic
31#5486C2×C311yescharacteristic, complemented
32C2×C3×#99—31no—
33C3×#379—31no—
34C3×#379—31no—
35#4955C2×C311yescharacteristic, complemented
36#4955C2×C311yescharacteristic, complemented
37C2×#806C2×C311yescharacteristic, complemented
38C3×#342—21no—
39C3×#342—31no—
40C3×#342D311yescharacteristic, complemented
41C3×#342C2×C311yescharacteristic, complemented
42#4527C2×C311yescharacteristic, complemented
43C24×C32C2311yescharacteristic
44C23×C3×D3—21no—
45C23×C3×D3—21no—
46C23×C3×D3—21no—
47C23×C3×D3—21no—
48C23×C3×D3—21no—
49C23×C3×D3—21no—
50C23×C3×D3—44no—
51C23×C3×D3C2×C412yescomplemented
52C23×C3×D3D411yescharacteristic
53C22×C32×C4—21no—
54C22×C32×C4—21no—
55C22×C32×C4D412yescomplemented
56C2×C3×#67—21no—
57C2×C3×#67—21no—
58C2×C3×#67—21no—
59C2×C3×#67—21no—
60C2×C3×#67C2×C412yes—
61C2×C3×#67D412yes—
62C22×C3×Dic3—21no—
63C22×C3×Dic3D411yescharacteristic
64C22×C3×Dic3D412yescomplemented
65C2×C3×D12—24no—
66C2×C3×D12—44no—
67C2×C3×C4×D3—22no—
68C32×C22⋊C4—21no—
69C32×C22⋊C4—21no—
70C32×C22⋊C4—21no—
71C32×C22⋊C4—21no—
72C32×C22⋊C4—21no—
73C32×C22⋊C4C2×C412yescomplemented
74C3×#217—21no—
75C3×#217—21no—
76C3×#217—21no—
77C3×#217—21no—
78C3×(C2×D3)⋊C4—22no—
79C3×(C2×D3)⋊C4—24no—
80C3×(C2×D3)⋊C4—44no—
81C3×(C2×D3)⋊C4—44no—
82C3×Dic3⋊C4—22no—
83C3×C4×Dic3—22no—
84#1889—31noSylow
85C25×C3—31no—
86C24×D3C22×C311yescharacteristic
87C22×C3×D4—31no—
88C22×C3×D4—61no—
89C22×#67C22×C311yescharacteristic
90C22×D12—21no—
91C3×#120—34no—
92C3×#120—62no—
93C3×C4×D4—62no—
94C3×C4×D4—62no—
95C3×#117—61no—
96C2×C3×C22⋊C4—21no—
97C2×C3×C22⋊C4—21no—
98C2×C3×C22⋊C4—21no—
99C2×C3×C22⋊C4—31no—
100C2×C3×C22⋊C4—31no—
101C2×C3×C22⋊C4—61no—
102C2×C3×C22⋊C4—61no—
103C2×C3×C22⋊C4—62no—
104C2×C3×C22⋊C4—62no—
105C2×C3×C22⋊C4C2×D311yescharacteristic
106C2×C3×C22⋊C4C2×D311yescharacteristic
107C2×C3×C22⋊C4C2×D311yescharacteristic
108C2×C3×C22⋊C4C22×C311yescharacteristic
109C2×C3×C22⋊C4C22×C311yescharacteristic
110C2×C3×C22⋊C4C22×C311yescharacteristic
111C2×#217C22×C311yescharacteristic
112C2×#217C22×C311yescharacteristic
113C4×#67—22no—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4—22no—
116C2×(C2×D3)⋊C4—22no—
117#882—22no—
118#882C3×C414yescomplemented
119#67⋊C4—22no—
120D3×C22⋊C4—21no—
121#877—21no—
122C3×#99—62no—
123#806—22no—
124C23×C32—42no—
125C23×C32C22×C411yescharacteristic
126C23×C32C2×D411yescharacteristic
127C23×C32C2×D411yescharacteristic
128C23×C32C2×D411yescharacteristic
129C23×C32C2×D411yescharacteristic
130C23×C32#4111yescharacteristic
131C23×C32#4111yescharacteristic
132C22×C3×D3—24no—
133C22×C3×D3—24no—
134C22×C3×D3—24no—
135C22×C3×D3—22no—
136C22×C3×D3—22no—
137C22×C3×D3—22no—
138C22×C3×D3—21no—
139C22×C3×D3—21no—
140C22×C3×D3—44no—
141C22×C3×D3—44no—
142C22×C3×D3—44no—
143C22×C3×D3—44no—
144C22×C3×D3—42no—
145C22×C3×D3—42no—
146C22×C3×D3—42no—
147C22×C3×D3—41no—
148C22×C3×D3—41no—
149C22×C3×D3—41no—
150C22×C3×D3—41no—
151C22×C3×D3—42no—
152C22×C3×D3C22⋊C412yescomplemented
153C2×C32×C4—22no—
154C2×C32×C4—22no—
155C2×C32×C4—41no—
156C2×C32×C4—42no—
157C2×C32×C4—42no—
158C2×C32×C4—42no—
159C3×#67—22no—
160C3×#67—22no—
161C3×#67—22no—
162C3×#67—22no—
163C2×C3×Dic3—21no—
164C2×C3×Dic3—21no—
165C2×C3×Dic3—22no—
166C2×C3×Dic3—42no—
167C2×C3×Dic3—42no—
168C2×C3×Dic3—41no—
169C2×C3×Dic3C22⋊C412yescomplemented
170C3×D12—48no—
171C3×C4×D3—82no—
172C2×#120—31no—
173#518—31no—
174C2×#99—31no—
175#379—31no—
176#379—31no—
177#342—31no—
178#342C3×D311yescharacteristic, complemented
179C24×C3—21no—
180C24×C3—31no—
181C24×C3—32no—
182C24×C3—61no—
183C24×C3—61no—
184C24×C3—61no—
185C24×C3—61no—
186C24×C3—61no—
187C24×C3—61no—
188C24×C3—124no—
189C24×C3C22×D311yescharacteristic
190C24×C3C23×C311yescharacteristic
191C23×D3—21no—
192C23×D3—21no—
193C23×D3—21no—
194C23×D3—21no—
195C23×D3—21no—
196C23×D3—21no—
197C23×D3—44no—
198C23×D3C2×C3×C412yescomplemented
199C23×D3C3×D411yescharacteristic
200C2×C3×D4—32no—
201C2×C3×D4—32no—
202C2×C3×D4—64no—
203C2×C3×D4—61no—
204C2×C3×D4—61no—
205C2×C3×D4—61no—
206C2×C3×D4—61no—
207C2×C3×D4—124no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—22no—
213C22×C3×C4—31no—
214C22×C3×C4—32no—
215C22×C3×C4—41no—
216C22×C3×C4—41no—
217C22×C3×C4—62no—
218C22×C3×C4—61no—
219C22×C3×C4D1212yescomplemented
220C22×C3×C4C3×D412yescomplemented
221C2×#67—21no—
222C2×#67—21no—
223C2×#67—21no—
224C2×#67—21no—
225C2×#67C2×C3×C412yes—
226C2×#67C3×D412yes—
227C22×Dic3—21no—
228C22×Dic3C3×D411yescharacteristic
229C22×Dic3C3×D412yescomplemented
230C2×D12—24no—
231C2×D12—44no—
232C2×C4×D3—22no—
233C3×C4⋊C4—62no—
234C3×C22⋊C4—21no—
235C3×C22⋊C4—21no—
236C3×C22⋊C4—21no—
237C3×C22⋊C4—21no—
238C3×C22⋊C4—21no—
239C3×C22⋊C4—21no—
240C3×C22⋊C4—22no—
241C3×C22⋊C4—21no—
242C3×C22⋊C4—21no—
243C3×C22⋊C4—21no—
244C3×C22⋊C4—21no—
245C3×C22⋊C4—22no—
246C3×C22⋊C4—41no—
247C3×C22⋊C4—41no—
248C3×C22⋊C4—41no—
249C3×C22⋊C4—41no—
250C3×C22⋊C4—64no—
251C3×C22⋊C4—62no—
252C3×C22⋊C4—61no—
253C3×C22⋊C4—61no—
254C3×C22⋊C4—61no—
255C3×C22⋊C4—61no—
256C3×C22⋊C4—124no—
257C3×C22⋊C4—124no—
258C3×C22⋊C4C4×D312yescomplemented
259C3×C22⋊C4C2×C3×C412yescomplemented
260C3×C42—62no—
261#217—21no—
262#217—21no—
263#217—21no—
264#217—21no—
265(C2×D3)⋊C4—22no—
266(C2×D3)⋊C4—24no—
267(C2×D3)⋊C4—44no—
268(C2×D3)⋊C4—44no—
269Dic3⋊C4—22no—
270C4×Dic3—22no—
271C22×C32—22no—
272C22×C32—22no—
273C22×C32—22no—
274C22×C32—41no—
275C22×C32—41no—
276C22×C32—41no—
277C22×C32—41no—
278C22×C32C2×C22⋊C411yescharacteristic
279C22×C32C4×D411yescharacteristic
280C22×C32C4×D411yescharacteristic
281C22×C32#12011yescharacteristic
282C22×C32#12111yescharacteristic
283C22×C32#12111yescharacteristic
284C22×C32#12311yescharacteristic
285C2×C3×D3—24no—
286C2×C3×D3—24no—
287C2×C3×D3—24no—
288C2×C3×D3—22no—
289C2×C3×D3—44no—
290C2×C3×D3—42no—
291C2×C3×D3—44no—
292C2×C3×D3—42no—
293C2×C3×D3—42no—
294C2×C3×D3—44no—
295C2×C3×D3—42no—
296C2×C3×D3—42no—
297C2×C3×D3—44no—
298C2×C3×D3—42no—
299C2×C3×D3—81no—
300C32×C4—42no—
301C32×C4—42no—
302C32×C4—81no—
303C3×Dic3—22no—
304C3×Dic3—42no—
305C3×Dic3—81no—
306C25—31no—
307C22×D4—31no—
308C22×D4—61no—
309#120—34no—
310#120—62no—
311C4×D4—62no—
312C4×D4—62no—
313#117—61no—
314C2×C22⋊C4—31no—
315C2×C22⋊C4—31no—
316C2×C22⋊C4—61no—
317C2×C22⋊C4—61no—
318C2×C22⋊C4—62no—
319C2×C22⋊C4—62no—
320C2×C22⋊C4C2×C3×D311yescharacteristic
321C2×C22⋊C4C2×C3×D311yescharacteristic
322C2×C22⋊C4C2×C3×D311yescharacteristic
323#99—62no—
324C23×C3—21no—
325C23×C3—21no—
326C23×C3—21no—
327C23×C3—21no—
328C23×C3—21no—
329C23×C3—21no—
330C23×C3—21no—
331C23×C3—32no—
332C23×C3—42no—
333C23×C3—42no—
334C23×C3—64no—
335C23×C3—64no—
336C23×C3—64no—
337C23×C3—62no—
338C23×C3—62no—
339C23×C3—61no—
340C23×C3—62no—
341C23×C3—61no—
342C23×C3—82no—
343C23×C3—122no—
344C23×C3—122no—
345C23×C3—122no—
346C23×C3—122no—
347C23×C3—124no—
348C23×C3—124no—
349C23×C3—124no—
350C23×C3—124no—
351C23×C3—121no—
352C23×C3—121no—
353C23×C3—121no—
354C23×C3—121no—
355C23×C3C2×C4×D311yescharacteristic
356C23×C3C2×D1211yescharacteristic
357C23×C3#23511yescharacteristic
358C23×C3D3×D411yescharacteristic
359C23×C3D3×D411yescharacteristic
360C23×C3D3×D411yescharacteristic
361C23×C3#23911yescharacteristic
362C23×C3C22×C3×C411yescharacteristic
363C23×C3C2×C3×D411yescharacteristic
364C23×C3C2×C3×D411yescharacteristic
365C23×C3C2×C3×D411yescharacteristic
366C23×C3C2×C3×D411yescharacteristic
367C23×C3C3×#4111yescharacteristic
368C23×C3C3×#4111yescharacteristic
369C22×D3—24no—
370C22×D3—24no—
371C22×D3—24no—
372C22×D3—22no—
373C22×D3—22no—
374C22×D3—22no—
375C22×D3—21no—
376C22×D3—21no—
377C22×D3—44no—
378C22×D3—44no—
379C22×D3—44no—
380C22×D3—44no—
381C22×D3—42no—
382C22×D3—42no—
383C22×D3—42no—
384C22×D3—41no—
385C22×D3—41no—
386C22×D3—41no—
387C22×D3—41no—
388C22×D3—42no—
389C22×D3C3×C22⋊C412yescomplemented
390C3×D4—62no—
391C3×D4—62no—
392C3×D4—62no—
393C3×D4—62no—
394C3×D4—128no—
395C2×C3×C4—22no—
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—32no—
400C2×C3×C4—42no—
401C2×C3×C4—42no—
402C2×C3×C4—42no—
403C2×C3×C4—42no—
404C2×C3×C4—42no—
405C2×C3×C4—42no—
406C2×C3×C4—42no—
407C2×C3×C4—42no—
408C2×C3×C4—42no—
409C2×C3×C4—41no—
410C2×C3×C4—41no—
411C2×C3×C4—61no—
412C2×C3×C4—61no—
413C2×C3×C4—62no—
414C2×C3×C4—82no—
415C2×C3×C4—82no—
416C2×C3×C4—82no—
417C2×C3×C4—122no—
418C2×C3×C4—122no—
419C2×C3×C4—121no—
420C2×C3×C4—242no—
421#67—22no—
422#67—22no—
423#67—22no—
424#67—22no—
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—22no—
428C2×Dic3—42no—
429C2×Dic3—42no—
430C2×Dic3—41no—
431C2×Dic3C3×C22⋊C412yescomplemented
432D12—48no—
433C4×D3—82no—
434C2×C32—21no—
435C2×C32—21no—
436C2×C32—21no—
437C2×C32—21no—
438C2×C32—21no—
439C2×C32—21no—
440C2×C32#38611yescharacteristic
441C2×C32B(4,𝔽2)12yes—
442C3×D3—44no—
443C3×D3—42no—
444C24—31no—
445C24—32no—
446C24—61no—
447C24—61no—
448C24—61no—
449C24—61no—
450C24—61no—
451C24—61no—
452C24—124no—
453C24C22×C3×D311yescharacteristic
454C2×D4—32no—
455C2×D4—32no—
456C2×D4—64no—
457C2×D4—61no—
458C2×D4—61no—
459C2×D4—61no—
460C2×D4—61no—
461C2×D4—124no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—31no—
465C22×C4—32no—
466C22×C4—62no—
467C22×C4—61no—
468C22×C4C3×D1212yescomplemented
469C4⋊C4—62no—
470C22⋊C4—21no—
471C22⋊C4—21no—
472C22⋊C4—21no—
473C22⋊C4—21no—
474C22⋊C4—21no—
475C22⋊C4—64no—
476C22⋊C4—62no—
477C22⋊C4—61no—
478C22⋊C4—61no—
479C22⋊C4—61no—
480C22⋊C4—61no—
481C22⋊C4—124no—
482C22⋊C4—124no—
483C22⋊C4C3×C4×D312yescomplemented
484C42—62no—
485C22×C3—22no—
486C22×C3—22no—
487C22×C3—22no—
488C22×C3—22no—
489C22×C3—22no—
490C22×C3—22no—
491C22×C3—21no—
492C22×C3—21no—
493C22×C3—21no—
494C22×C3—21no—
495C22×C3—21no—
496C22×C3—21no—
497C22×C3—21no—
498C22×C3—42no—
499C22×C3—42no—
500C22×C3—42no—
501C22×C3—41no—
502C22×C3—41no—
503C22×C3—41no—
504C22×C3—41no—
505C22×C3—41no—
506C22×C3—41no—
507C22×C3—41no—
508C22×C3—41no—
509C22×C3—64no—
510C22×C3—64no—
511C22×C3—64no—
512C22×C3—62no—
513C22×C3—81no—
514C22×C3—81no—
515C22×C3—81no—
516C22×C3—81no—
517C22×C3—122no—
518C22×C3—122no—
519C22×C3—124no—
520C22×C3—124no—
521C22×C3—122no—
522C22×C3—122no—
523C22×C3—124no—
524C22×C3—122no—
525C22×C3—122no—
526C22×C3—124no—
527C22×C3—241no—
528C22×C3C4×D1211yescharacteristic
529C22×C3D3×C22⋊C411yescharacteristic
530C22×C3#88211yescharacteristic
531C22×C3#88411yescharacteristic
532C22×C3#89311yescharacteristic
533C22×C3#89411yescharacteristic
534C22×C3#89511yescharacteristic
535C22×C3C2×C3×C22⋊C411yescharacteristic
536C22×C3C3×C4×D411yescharacteristic
537C22×C3C3×C4×D411yescharacteristic
538C22×C3C3×#12011yescharacteristic
539C22×C3C3×#12111yescharacteristic
540C22×C3C3×#12111yescharacteristic
541C22×C3C3×#12311yescharacteristic
542C2×D3—24no—
543C2×D3—24no—
544C2×D3—24no—
545C2×D3—22no—
546C2×D3—44no—
547C2×D3—42no—
548C2×D3—44no—
549C2×D3—42no—
550C2×D3—42no—
551C2×D3—44no—
552C2×D3—42no—
553C2×D3—42no—
554C2×D3—44no—
555C2×D3—42no—
556C2×D3—81no—
557C3×C4—42no—
558C3×C4—42no—
559C3×C4—42no—
560C3×C4—42no—
561C3×C4—62no—
562C3×C4—82no—
563C3×C4—82no—
564C3×C4—81no—
565C3×C4—81no—
566C3×C4—82no—
567C3×C4—122no—
568C3×C4—241no—
569Dic3—22no—
570Dic3—42no—
571Dic3—81no—
572C32#188911yescharacteristic, complemented, Sylow
573C23—32no—
574C23—42no—
575C23—64no—
576C23—64no—
577C23—64no—
578C23—62no—
579C23—61no—
580C23—62no—
581C23—62no—
582C23—61no—
583C23—122no—
584C23—122no—
585C23—122no—
586C23—122no—
587C23—124no—
588C23—124no—
589C23—124no—
590C23—124no—
591C23—121no—
592C23—121no—
593C23—121no—
594C23—121no—
595C23C2×C3×C4×D311yescharacteristic
596C23C2×C3×D1211yescharacteristic
597C23C3×#23511yescharacteristic
598C23C3×D3×D411yescharacteristic
599C23C3×D3×D411yescharacteristic
600C23C3×D3×D411yescharacteristic
601C23C3×#23911yescharacteristic
602D4—62no—
603D4—62no—
604D4—62no—
605D4—62no—
606D4—128no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—32no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—61no—
615C2×C4—61no—
616C2×C4—62no—
617C2×C4—122no—
618C2×C4—122no—
619C2×C4—121no—
620C2×C4—242no—
621C2×C3—21no—
622C2×C3—21no—
623C2×C3—21no—
624C2×C3—21no—
625C2×C3—21no—
626C2×C3—21no—
627C2×C3—21no—
628C2×C3—21no—
629C2×C3—21no—
630C2×C3—21no—
631C2×C3—21no—
632C2×C3—21no—
633C2×C3—21no—
634C2×C3—22no—
635C2×C3—41no—
636C2×C3—41no—
637C2×C3—41no—
638C2×C3—41no—
639C2×C3—41no—
640C2×C3—41no—
641C2×C3—124no—
642C2×C3—122no—
643C2×C3#466511yescharacteristic
644C2×C3#474112yes—
645C2×C3C3×#38611yescharacteristic
646C2×C3C3×B(4,𝔽2)12yes—
647D3—44no—
648D3—42no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—64no—
657C22—64no—
658C22—64no—
659C22—62no—
660C22—122no—
661C22—122no—
662C22—124no—
663C22—124no—
664C22—122no—
665C22—122no—
666C22—124no—
667C22—122no—
668C22—122no—
669C22—124no—
670C22—241no—
671C22C3×C4×D1211yescharacteristic
672C22C3×D3×C22⋊C411yescharacteristic
673C22C3×#88211yescharacteristic
674C22C3×#88411yescharacteristic
675C22C3×#89311yescharacteristic
676C22C3×#89411yescharacteristic
677C22C3×#89511yescharacteristic
678C4—42no—
679C4—42no—
680C4—62no—
681C4—81no—
682C4—122no—
683C4—241no—
684C3—21no—
685C3#6896211yescharacteristic, direct product factor
686C3C3×#188911yescharacteristic, complemented
687C2—21no—
688C2—21no—
689C2—21no—
690C2—21no—
691C2—21no—
692C2—21no—
693C2—124no—
694C2—122no—
695C2C3×#466511yescharacteristic
696C2C3×#474112yes—
subgroupG/H
centerC22×C3#882
commutatorC23×C3C22×C3×C4
FrattiniC24C22×C3×D3
FittingC32×#342C2
socleC22×C32#120
prime radicalC2×C3×#882C2
cosocleC24×C3C23×C3
hypercenterC3×#342D3
hypocenterC3C3×#1889
LCSG ▷ C23×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C24×C3 ◁ C3×#342

Complements

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

NH ≅ G/Ntype
2. C3×#5486C2semidirect
3. C3×#4955C2semidirect
4. C3×#4955C2semidirect
5. C2×C3×#806C2semidirect
6. C32×#342C2semidirect
7. C3×#4527C2semidirect
9. #68962C3direct (N × H)
23. C3×#882C4semidirect
31. #5486C2×C3semidirect
35. #4955C2×C3semidirect
36. #4955C2×C3semidirect
37. C2×#806C2×C3semidirect
40. C3×#342D3semidirect
41. C3×#342C2×C3semidirect
42. #4527C2×C3semidirect
51. C23×C3×D3C2×C4semidirect
55. C22×C32×C4D4semidirect
64. C22×C3×Dic3D4semidirect
73. C32×C22⋊C4C2×C4semidirect
118. #882C3×C4semidirect
152. C22×C3×D3C22⋊C4semidirect
169. C2×C3×Dic3C22⋊C4semidirect
178. #342C3×D3semidirect
198. C23×D3C2×C3×C4semidirect
219. C22×C3×C4D12semidirect
220. C22×C3×C4C3×D4semidirect
229. C22×Dic3C3×D4semidirect
258. C3×C22⋊C4C4×D3semidirect
259. C3×C22⋊C4C2×C3×C4semidirect
389. C22×D3C3×C22⋊C4semidirect
431. C2×Dic3C3×C22⋊C4semidirect
468. C22×C4C3×D12semidirect
483. C22⋊C4C3×C4×D3semidirect
572. C32#1889semidirect
685. C3#68962direct (N × H)
686. C3C3×#1889semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#8822
C3×#54862
C3×#49552
C2×C3×#8062
C32×#3422
C3×#45272
C3×#18893
#689623