Finite Group Databasebeta

← C2×#10591319 #11808271

Subgroups — C2×#10591319 #11808271

Order 1152.

2025 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊(C3⋊Dic3)C211yesmaximal, characteristic, complemented
2C22×C3×(C2×D3)⋊C4C211yesmaximal, characteristic
3C22×C3×Dic3⋊C4C211yesmaximal, characteristic, complemented
4C22×#3724C211yesmaximal, characteristic, complemented
5C22×(C2×D3)⋊Dic3C211yesmaximal, characteristic
6C22×(C2×D3)⋊Dic3C211yesmaximal, characteristic
7C2×#63579C211yesmaximal, characteristic, complemented
8#10591319C218yesmaximal, direct product factor
9C2×#4994—31nomaximal
10C2×#4948—31nomaximal
11C24×C3×D3C2211yescharacteristic
12C23×C32×C4C2211yescharacteristic
13C23×C3⋊Dic3C2211yescharacteristic
14C23×C3⋊Dic3C2211yescharacteristic
15C23×C3×Dic3C2211yescharacteristic
16C23×C3×Dic3C2211yescharacteristic
17C23×C3×Dic3C2211yescharacteristic
18C2×C4⋊(C3⋊Dic3)—24no—
19C2×C4⋊(C3⋊Dic3)C2214yescomplemented
20C2×C3×(C2×D3)⋊C4—24no—
21C2×C3×(C2×D3)⋊C4C2214yes—
22C2×C3×Dic3⋊C4—24no—
23C2×C3×Dic3⋊C4C2214yescomplemented
24C2×#3724—24no—
25C2×#3724C2214yescomplemented
26C2×(C2×D3)⋊Dic3—24no—
27C2×(C2×D3)⋊Dic3—24no—
28C2×(C2×D3)⋊Dic3C2214yes—
29C2×(C2×D3)⋊Dic3C2214yes—
30#63579C2214yescomplemented
31C22×C3×C4⋊C4—31no—
32C22×C3×C22⋊C4—31no—
33C22×#217—31no—
34C22×#217—31no—
35C22×(C2×D3)⋊C4—31no—
36C22×(C2×D3)⋊C4—31no—
37C22×(C2×D3)⋊C4D311yescharacteristic
38C22×C4⋊Dic3—31no—
39C22×C4⋊Dic3—31no—
40C22×C4⋊Dic3—61no—
41C22×Dic3⋊C4—31no—
42C22×Dic3⋊C4—31no—
43C22×Dic3⋊C4D311yescharacteristic, complemented
44C2×C3⋊#95—31no—
45C2×C3⋊#95—31no—
46#4994—38no—
47#4948—38no—
48C24×C32C2311yescharacteristic
49C23×C3×D3—22no—
50C23×C3×D3—22no—
51C23×C3×D3—22no—
52C23×C3×D3—22no—
53C23×C3×D3—22no—
54C23×C3×D3—22no—
55C23×C3×D3Q814yes—
56C23×C3×D3C2312yes—
57C22×C32×C4—22no—
58C22×C32×C4—22no—
59C22×C32×C4D414yes—
60C22×C32×C4C2312yes—
61C22×C3⋊Dic3—22no—
62C22×C3⋊Dic3—22no—
63C22×C3⋊Dic3—22no—
64C22×C3⋊Dic3—22no—
65C22×C3⋊Dic3—22no—
66C22×C3⋊Dic3D414yes—
67C22×C3⋊Dic3C2312yes—
68C22×C3⋊Dic3C2312yes—
69C22×C3×Dic3—22no—
70C22×C3×Dic3—22no—
71C22×C3×Dic3—22no—
72C22×C3×Dic3—22no—
73C22×C3×Dic3—22no—
74C22×C3×Dic3—22no—
75C22×C3×Dic3—22no—
76C22×C3×Dic3—22no—
77C22×C3×Dic3D414yes—
78C22×C3×Dic3C2312yes—
79C22×C3×Dic3C2312yes—
80C22×C3×Dic3C2312yes—
81C4⋊(C3⋊Dic3)—28no—
82C3×(C2×D3)⋊C4—28no—
83C3×Dic3⋊C4—28no—
84#3724—28no—
85(C2×D3)⋊Dic3—28no—
86(C2×D3)⋊Dic3—28no—
87C2×#396—91noSylow
88C25×C3—31no—
89C24×D3C2×D311yescharacteristic
90C23×C3×C4—21no—
91C23×C3×C4—31no—
92C23×C3×C4—31no—
93C23×C3×C4—31no—
94C23×C3×C4C2×D311yescharacteristic
95C23×C3×C4C2×D311yescharacteristic
96C23×Dic3—31no—
97C23×Dic3—31no—
98C23×Dic3—31no—
99C23×Dic3—31no—
100C23×Dic3—61no—
101C23×Dic3—61no—
102C23×Dic3C2×D311yescharacteristic
103C23×Dic3C2×D311yescharacteristic
104C23×Dic3C2×D311yescharacteristic
105C2×C3×C4⋊C4—34no—
106C2×C3×C4⋊C4—64no—
107C2×C3×C22⋊C4—34no—
108C2×C3×C22⋊C4—64no—
109C2×#217—34no—
110C2×#217—34no—
111C2×#217—64no—
112C2×#217—64no—
113C2×(C2×D3)⋊C4—24no—
114C2×(C2×D3)⋊C4—34no—
115C2×(C2×D3)⋊C4—34no—
116C2×(C2×D3)⋊C4—64no—
117C2×(C2×D3)⋊C4—64no—
118C2×(C2×D3)⋊C4C2×D314yes—
119C2×C4⋊Dic3—34no—
120C2×C4⋊Dic3—34no—
121C2×C4⋊Dic3—64no—
122C2×C4⋊Dic3—64no—
123C2×C4⋊Dic3—64no—
124C2×C4⋊Dic3—68no—
125C2×Dic3⋊C4—24no—
126C2×Dic3⋊C4—34no—
127C2×Dic3⋊C4—34no—
128C2×Dic3⋊C4—64no—
129C2×Dic3⋊C4—64no—
130C2×Dic3⋊C4C2×D314yescomplemented
131C3⋊#95—34no—
132C3⋊#95—34no—
133C23×C32C2×D412yes—
134C23×C32C2×D412yes—
135C23×C32C2×D412yes—
136C23×C32C2×Q812yes—
137C23×C32#4112yes—
138C23×C32#4112yes—
139C23×C32#4112yes—
140C23×C32C2411yescharacteristic
141C22×C3×D3—28no—
142C22×C3×D3—28no—
143C22×C3×D3—28no—
144C22×C3×D3—22no—
145C22×C3×D3—22no—
146C22×C3×D3—22no—
147C22×C3×D3—22no—
148C22×C3×D3—22no—
149C22×C3×D3—22no—
150C22×C3×D3—44no—
151C22×C3×D3—44no—
152C22×C3×D3—44no—
153C22×C3×D3—44no—
154C22×C3×D3C2×Q814yes—
155C2×C32×C4—28no—
156C2×C32×C4—22no—
157C2×C32×C4—22no—
158C2×C32×C4C2×D414yes—
159C2×C3⋊Dic3—22no—
160C2×C3⋊Dic3—28no—
161C2×C3⋊Dic3—22no—
162C2×C3⋊Dic3—22no—
163C2×C3⋊Dic3—22no—
164C2×C3⋊Dic3—22no—
165C2×C3⋊Dic3—44no—
166C2×C3⋊Dic3C2×D414yes—
167C2×C3×Dic3—28no—
168C2×C3×Dic3—22no—
169C2×C3×Dic3—22no—
170C2×C3×Dic3—22no—
171C2×C3×Dic3—22no—
172C2×C3×Dic3—22no—
173C2×C3×Dic3—22no—
174C2×C3×Dic3—22no—
175C2×C3×Dic3—22no—
176C2×C3×Dic3—44no—
177C2×C3×Dic3—44no—
178C2×C3×Dic3C2×D414yes—
179C22×C4⋊C4—31no—
180C22×C4⋊C4—91no—
181C22×C4⋊C4—91no—
182C22×C22⋊C4—31no—
183C22×C22⋊C4—91no—
184C22×C22⋊C4—91no—
185#396—98no—
186C2×#95—91no—
187C24×C3—21no—
188C24×C3—34no—
189C24×C3—32no—
190C24×C3—62no—
191C24×C3—62no—
192C24×C3—62no—
193C24×C3—62no—
194C24×C3—62no—
195C24×C3—62no—
196C24×C3C22×D311yescharacteristic
197C24×C3C22×D311yescharacteristic
198C23×D3—22no—
199C23×D3—22no—
200C23×D3—22no—
201C23×D3—22no—
202C23×D3—22no—
203C23×D3—22no—
204C23×D3Dic614yes—
205C23×D3C22×D312yes—
206C22×C3×C4—24no—
207C22×C3×C4—24no—
208C22×C3×C4—22no—
209C22×C3×C4—22no—
210C22×C3×C4—22no—
211C22×C3×C4—22no—
212C22×C3×C4—24no—
213C22×C3×C4—22no—
214C22×C3×C4—34no—
215C22×C3×C4—32no—
216C22×C3×C4—32no—
217C22×C3×C4—32no—
218C22×C3×C4—62no—
219C22×C3×C4—62no—
220C22×C3×C4—62no—
221C22×C3×C4—62no—
222C22×C3×C4—62no—
223C22×C3×C4—62no—
224C22×C3×C4—62no—
225C22×C3×C4—62no—
226C22×C3×C4#6714yes—
227C22×C3×C4#6714yes—
228C22×C3×C4C22×D312yes—
229C22×C3×C4C22×D312yes—
230C22×Dic3—22no—
231C22×Dic3—22no—
232C22×Dic3—22no—
233C22×Dic3—22no—
234C22×Dic3—22no—
235C22×Dic3—22no—
236C22×Dic3—22no—
237C22×Dic3—22no—
238C22×Dic3—34no—
239C22×Dic3—34no—
240C22×Dic3—32no—
241C22×Dic3—32no—
242C22×Dic3—32no—
243C22×Dic3—32no—
244C22×Dic3—64no—
245C22×Dic3—62no—
246C22×Dic3—62no—
247C22×Dic3—62no—
248C22×Dic3—62no—
249C22×Dic3—62no—
250C22×Dic3—62no—
251C22×Dic3—64no—
252C22×Dic3—62no—
253C22×Dic3—62no—
254C22×Dic3—62no—
255C22×Dic3—62no—
256C22×Dic3—62no—
257C22×Dic3—62no—
258C22×Dic3—122no—
259C22×Dic3—122no—
260C22×Dic3—122no—
261C22×Dic3—122no—
262C22×Dic3D1214yes—
263C22×Dic3C22×D312yes—
264C22×Dic3C22×D312yes—
265C22×Dic3C22×D312yes—
266C3×C4⋊C4—68no—
267C3×C22⋊C4—68no—
268#217—68no—
269#217—68no—
270(C2×D3)⋊C4—28no—
271(C2×D3)⋊C4—68no—
272(C2×D3)⋊C4—68no—
273C4⋊Dic3—68no—
274C4⋊Dic3—68no—
275C4⋊Dic3—616no—
276Dic3⋊C4—28no—
277Dic3⋊C4—68no—
278Dic3⋊C4—68no—
279C22×C32#12114yes—
280C22×C32#12114yes—
281C22×C32#12114yes—
282C22×C32C22⋊Q814yes—
283C22×C32C22⋊Q814yes—
284C22×C32C22⋊Q814yes—
285C22×C32#12614yes—
286C22×C32C22×D411yescharacteristic
287C22×C32C22×D411yescharacteristic
288C22×C32C22×D411yescharacteristic
289C22×C32C22×Q811yescharacteristic
290C22×C32C2×#4111yescharacteristic
291C22×C32C2×#4111yescharacteristic
292C22×C32C2×#4111yescharacteristic
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—
300C2×C3×D3—416no—
301C32×C4—24no—
302C3⋊Dic3—24no—
303C3⋊Dic3—42no—
304C3×Dic3—24no—
305C3×Dic3—42no—
306C3×Dic3—42no—
307C25—31no—
308C23×C4—31no—
309C23×C4—31no—
310C23×C4—31no—
311C23×C4—91no—
312C23×C4—91no—
313C23×C4D3211yescharacteristic
314C2×C4⋊C4—34no—
315C2×C4⋊C4—64no—
316C2×C4⋊C4—94no—
317C2×C4⋊C4—94no—
318C2×C4⋊C4—184no—
319C2×C4⋊C4—184no—
320C2×C22⋊C4—34no—
321C2×C22⋊C4—64no—
322C2×C22⋊C4—94no—
323C2×C22⋊C4—94no—
324C2×C22⋊C4—184no—
325C2×C22⋊C4—184no—
326#95—94no—
327C23×C3—21no—
328C23×C3—22no—
329C23×C3—22no—
330C23×C3—22no—
331C23×C3—22no—
332C23×C3—22no—
333C23×C3—22no—
334C23×C3—22no—
335C23×C3—34no—
336C23×C3—68no—
337C23×C3—68no—
338C23×C3—68no—
339C23×C3—62no—
340C23×C3—62no—
341C23×C3—62no—
342C23×C3—62no—
343C23×C3—62no—
344C23×C3—62no—
345C23×C3—124no—
346C23×C3—124no—
347C23×C3—124no—
348C23×C3—124no—
349C23×C3C2×Dic612yes—
350C23×C3C2×D1212yes—
351C23×C3#23512yes—
352C23×C3#23512yes—
353C23×C3D3×D412yes—
354C23×C3D3×D412yes—
355C23×C3D3×D412yes—
356C23×C3#23712yes—
357C23×C3#23712yes—
358C23×C3#23712yes—
359C23×C3D3×Q812yes—
360C23×C3#23912yes—
361C23×C3C2×#6712yes—
362C23×C3C2×#6712yes—
363C23×C3C23×D311yescharacteristic
364C23×C3C23×D311yescharacteristic
365C22×D3—28no—
366C22×D3—28no—
367C22×D3—28no—
368C22×D3—22no—
369C22×D3—22no—
370C22×D3—22no—
371C22×D3—22no—
372C22×D3—22no—
373C22×D3—22no—
374C22×D3—44no—
375C22×D3—44no—
376C22×D3—44no—
377C22×D3—44no—
378C22×D3C2×Dic614yes—
379C2×C3×C4—24no—
380C2×C3×C4—24no—
381C2×C3×C4—216no—
382C2×C3×C4—28no—
383C2×C3×C4—28no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—24no—
389C2×C3×C4—34no—
390C2×C3×C4—68no—
391C2×C3×C4—62no—
392C2×C3×C4—62no—
393C2×C3×C4—62no—
394C2×C3×C4—62no—
395C2×C3×C4—62no—
396C2×C3×C4—62no—
397C2×C3×C4—62no—
398C2×C3×C4—62no—
399C2×C3×C4—124no—
400C2×C3×C4—124no—
401C2×C3×C4C2×#6714yes—
402C2×C3×C4C2×#6714yes—
403C2×Dic3—28no—
404C2×Dic3—22no—
405C2×Dic3—22no—
406C2×Dic3—22no—
407C2×Dic3—22no—
408C2×Dic3—22no—
409C2×Dic3—22no—
410C2×Dic3—22no—
411C2×Dic3—22no—
412C2×Dic3—34no—
413C2×Dic3—34no—
414C2×Dic3—44no—
415C2×Dic3—44no—
416C2×Dic3—64no—
417C2×Dic3—68no—
418C2×Dic3—68no—
419C2×Dic3—62no—
420C2×Dic3—62no—
421C2×Dic3—62no—
422C2×Dic3—62no—
423C2×Dic3—64no—
424C2×Dic3—62no—
425C2×Dic3—62no—
426C2×Dic3—62no—
427C2×Dic3—62no—
428C2×Dic3—62no—
429C2×Dic3—62no—
430C2×Dic3—122no—
431C2×Dic3—122no—
432C2×Dic3—128no—
433C2×Dic3—122no—
434C2×Dic3—122no—
435C2×Dic3—128no—
436C2×Dic3—124no—
437C2×Dic3—124no—
438C2×Dic3C2×D1214yes—
439C2×C32#39618yescomplemented
440C2×C32C2×#12111yescharacteristic
441C2×C32C2×#12111yescharacteristic
442C2×C32C2×#12111yescharacteristic
443C2×C32C2×C22⋊Q811yescharacteristic
444C2×C32C2×C22⋊Q811yescharacteristic
445C2×C32C2×C22⋊Q811yescharacteristic
446C2×C32C2×#12611yescharacteristic
447C3×D3—44no—
448C24—32no—
449C24—34no—
450C24—62no—
451C24—62no—
452C24—62no—
453C24—62no—
454C24—62no—
455C24—62no—
456C24C2×D3211yescharacteristic
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—32no—
460C22×C4—34no—
461C22×C4—32no—
462C22×C4—32no—
463C22×C4—62no—
464C22×C4—62no—
465C22×C4—62no—
466C22×C4—62no—
467C22×C4—62no—
468C22×C4—62no—
469C22×C4—62no—
470C22×C4—62no—
471C22×C4—92no—
472C22×C4—94no—
473C22×C4—92no—
474C22×C4—182no—
475C22×C4—182no—
476C22×C4—182no—
477C22×C4—182no—
478C22×C4—182no—
479C22×C4#62514yes—
480C22×C4C2×D3212yes—
481C4⋊C4—68no—
482C4⋊C4—188no—
483C4⋊C4—188no—
484C22⋊C4—68no—
485C22⋊C4—188no—
486C22⋊C4—188no—
487C22×C3—21no—
488C22×C3—21no—
489C22×C3—21no—
490C22×C3—21no—
491C22×C3—21no—
492C22×C3—21no—
493C22×C3—21no—
494C22×C3—24no—
495C22×C3—24no—
496C22×C3—24no—
497C22×C3—24no—
498C22×C3—24no—
499C22×C3—24no—
500C22×C3—24no—
501C22×C3—64no—
502C22×C3—64no—
503C22×C3—64no—
504C22×C3—1216no—
505C22×C3—122no—
506C22×C3—122no—
507C22×C3—122no—
508C22×C3—122no—
509C22×C3#87814yes—
510C22×C3#87814yes—
511C22×C3#87914yes—
512C22×C3#88414yes—
513C22×C3#89514yes—
514C22×C3#89614yes—
515C22×C3#89714yes—
516C22×C3#89814yes—
517C22×C3#92414yes—
518C22×C3#93014yes—
519C22×C3#93814yes—
520C22×C3#93914yes—
521C22×C3#93914yes—
522C22×C3#94614yes—
523C22×C3C22×Dic611yescharacteristic
524C22×C3C22×D1211yescharacteristic
525C22×C3C2×#23511yescharacteristic
526C22×C3C2×#23511yescharacteristic
527C22×C3C2×D3×D411yescharacteristic
528C22×C3C2×D3×D411yescharacteristic
529C22×C3C2×D3×D411yescharacteristic
530C22×C3C2×#23711yescharacteristic
531C22×C3C2×#23711yescharacteristic
532C22×C3C2×#23711yescharacteristic
533C22×C3C2×D3×Q811yescharacteristic
534C22×C3C2×#23911yescharacteristic
535C22×C3C22×#6711yescharacteristic
536C22×C3C22×#6711yescharacteristic
537C2×D3—24no—
538C2×D3—24no—
539C2×D3—24no—
540C2×D3—416no—
541C2×D3—42no—
542C2×D3—42no—
543C2×D3—42no—
544C2×D3—42no—
545C3×C4—28no—
546C3×C4—24no—
547C3×C4—24no—
548C3×C4—64no—
549C3×C4—122no—
550C3×C4—122no—
551Dic3—24no—
552Dic3—42no—
553Dic3—42no—
554Dic3—64no—
555Dic3—64no—
556Dic3—124no—
557Dic3—124no—
558Dic3—122no—
559Dic3—122no—
560C32C2×#39611yescharacteristic, complemented, Sylow
561C23—34no—
562C23—62no—
563C23—62no—
564C23—62no—
565C23—62no—
566C23—62no—
567C23—62no—
568C23—68no—
569C23—68no—
570C23—68no—
571C23—124no—
572C23—124no—
573C23—124no—
574C23—124no—
575C23D3×Dic612yes—
576C23#379512yes—
577C23#379912yes—
578C23D3×D1212yes—
579C23#380512yes—
580C23C2×#62512yes—
581C23#381112yes—
582C23C22×D3211yescharacteristic
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—28no—
586C2×C4—34no—
587C2×C4—62no—
588C2×C4—62no—
589C2×C4—68no—
590C2×C4—62no—
591C2×C4—62no—
592C2×C4—62no—
593C2×C4—62no—
594C2×C4—62no—
595C2×C4—62no—
596C2×C4—94no—
597C2×C4—124no—
598C2×C4—124no—
599C2×C4—182no—
600C2×C4—182no—
601C2×C4—188no—
602C2×C4—182no—
603C2×C4—182no—
604C2×C4—182no—
605C2×C4—364no—
606C2×C4C2×#62514yes—
607C2×C3—21no—
608C2×C3—21no—
609C2×C3—28no—
610C2×C3—21no—
611C2×C3—21no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—124no—
616C2×C3#494818yescomplemented
617C2×C3#499418yescomplemented
618C2×C3C2×#87811yescharacteristic
619C2×C3C2×#87811yescharacteristic
620C2×C3C2×#87911yescharacteristic
621C2×C3C2×#88411yescharacteristic
622C2×C3C2×#89511yescharacteristic
623C2×C3C2×#89611yescharacteristic
624C2×C3C2×#89711yescharacteristic
625C2×C3C2×#89811yescharacteristic
626C2×C3C2×#92411yescharacteristic
627C2×C3C2×#93011yescharacteristic
628C2×C3C2×#93811yescharacteristic
629C2×C3C2×#93911yescharacteristic
630C2×C3C2×#93911yescharacteristic
631C2×C3C2×#94611yescharacteristic
632D3—44no—
633C22—64no—
634C22—64no—
635C22—64no—
636C22—122no—
637C22—1216no—
638C22—122no—
639C22—122no—
640C22—122no—
641C22#6385614yes—
642C22#6386114yes—
643C22#6389314yes—
644C22#6389614yes—
645C22#6390814yes—
646C22#6391014yes—
647C22#6398014yes—
648C22C2×D3×Dic611yescharacteristic
649C22C2×#379511yescharacteristic
650C22C2×#379911yescharacteristic
651C22C2×D3×D1211yescharacteristic
652C22C2×#380511yescharacteristic
653C22C22×#62511yescharacteristic
654C22C2×#381111yescharacteristic
655C4—24no—
656C4—64no—
657C4—122no—
658C4—122no—
659C4—184no—
660C4—362no—
661C3—21no—
662C3C2×#494811yescharacteristic, complemented
663C3C2×#499411yescharacteristic, complemented
664C2—124no—
665C2#1059131918yesdirect product factor
666C2C2×#6385611yescharacteristic
667C2C2×#6386111yescharacteristic
668C2C2×#6389311yescharacteristic
669C2C2×#6389611yescharacteristic
670C2C2×#6390811yescharacteristic
671C2C2×#6391011yescharacteristic
672C2C2×#6398011yescharacteristic
subgroupG/H
centerC24C2×D32
commutator, cosocleC23×C32C24
FrattiniC23C22×D32
FittingC23×C32×C4C22
socleC24×C32C23
prime radicalC24×C3×D3C22
hypercenterC23×C4D32
hypocenterC32C2×#396
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C24 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C22×C4⋊(C3⋊Dic3)C2semidirect
3. C22×C3×Dic3⋊C4C2semidirect
4. C22×#3724C2semidirect
7. C2×#63579C2semidirect
8. #10591319C2direct (N × H)
19. C2×C4⋊(C3⋊Dic3)C22semidirect
23. C2×C3×Dic3⋊C4C22semidirect
25. C2×#3724C22semidirect
30. #63579C22semidirect
43. C22×Dic3⋊C4D3semidirect
130. C2×Dic3⋊C4C2×D3semidirect
439. C2×C32#396semidirect
560. C32C2×#396semidirect
616. C2×C3#4948semidirect
617. C2×C3#4994semidirect
662. C3C2×#4948semidirect
663. C3C2×#4994semidirect
665. C2#10591319direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4⋊(C3⋊Dic3)2
C22×C3×(C2×D3)⋊C42
C22×C3×Dic3⋊C42
C22×#37242
C22×(C2×D3)⋊Dic32
C2×#635792
#105913192
C2×#49943
C2×#49483