Finite Group Databasebeta

← C2×#10591307 #11801447

Subgroups — C2×#10591307 #11801447

Order 1152.

2021 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×(C2×D3)⋊C4C211yesmaximal, characteristic
2C22×C3×C4⋊Dic3C211yesmaximal, characteristic, complemented
3C22×(C2×D3)⋊Dic3C211yesmaximal, characteristic
4C22×(C2×D3)⋊Dic3C211yesmaximal, characteristic
5C22×Dic32C211yesmaximal, characteristic, complemented
6C2×#63658C211yesmaximal, characteristic, complemented
7C2×#63579C211yesmaximal, characteristic, complemented
8#10591307C218yesmaximal, direct product factor
9C2×#4990—31nomaximal
10C2×#4951—31nomaximal
11C24×C3×D3C2211yescharacteristic
12C23×C32×C4C2211yescharacteristic
13C23×C3⋊Dic3C2211yescharacteristic
14C23×C3⋊Dic3C2211yescharacteristic
15C23×C3×Dic3C2211yescharacteristic
16C23×C3×Dic3C2211yescharacteristic
17C23×C3×Dic3C2211yescharacteristic
18C2×C3×(C2×D3)⋊C4C418yescomplemented
19C2×C3×(C2×D3)⋊C4C2214yes—
20C2×C3×C4⋊Dic3—24no—
21C2×C3×C4⋊Dic3C2214yescomplemented
22C2×(C2×D3)⋊Dic3—24no—
23C2×(C2×D3)⋊Dic3—24no—
24C2×(C2×D3)⋊Dic3C2214yes—
25C2×(C2×D3)⋊Dic3C2214yes—
26C2×Dic32—24no—
27C2×Dic32C2214yescomplemented
28#63658C2214yescomplemented
29#63579C2214yescomplemented
30C22×C3×C4⋊C4—31no—
31C22×C3×C22⋊C4—31no—
32C22×#217—31no—
33C22×#217—31no—
34C22×(C2×D3)⋊C4—31no—
35C22×(C2×D3)⋊C4—31no—
36C22×(C2×D3)⋊C4D311yescharacteristic
37C22×C4⋊Dic3D311yescharacteristic, complemented
38C22×C4×Dic3—31no—
39C22×C4×Dic3—31no—
40C2×C3⋊#95—31no—
41C2×C3⋊#95—31no—
42C2×C3⋊#95—31no—
43C2×C3⋊#95—31no—
44C2×C3⋊#95—61no—
45#4990—38no—
46#4951—38no—
47C24×C32C2311yescharacteristic
48C23×C3×D3—22no—
49C23×C3×D3—22no—
50C23×C3×D3—22no—
51C23×C3×D3—22no—
52C23×C3×D3—22no—
53C23×C3×D3—22no—
54C23×C3×D3C2×C414yes—
55C23×C3×D3C2312yes—
56C22×C32×C4—22no—
57C22×C32×C4—22no—
58C22×C32×C4C2×C414yes—
59C22×C32×C4C2312yes—
60C22×C3⋊Dic3—22no—
61C22×C3⋊Dic3—22no—
62C22×C3⋊Dic3—22no—
63C22×C3⋊Dic3—22no—
64C22×C3⋊Dic3—22no—
65C22×C3⋊Dic3D414yes—
66C22×C3⋊Dic3C2312yes—
67C22×C3⋊Dic3C2312yes—
68C22×C3×Dic3—22no—
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×Dic3C2×C414yes—
76C22×C3×Dic3D414yes—
77C22×C3×Dic3C2312yes—
78C22×C3×Dic3C2312yes—
79C22×C3×Dic3C2312yes—
80C3×(C2×D3)⋊C4C2×C4116yescomplemented
81C3×C4⋊Dic3—28no—
82(C2×D3)⋊Dic3—28no—
83(C2×D3)⋊Dic3—28no—
84Dic32—28no—
85C2×#388—91noSylow
86C25×C3—31no—
87C24×D3C2×D311yescharacteristic
88C23×C3×C4—21no—
89C23×C3×C4—31no—
90C23×C3×C4—31no—
91C23×C3×C4—31no—
92C23×C3×C4C2×D311yescharacteristic
93C23×C3×C4C2×D311yescharacteristic
94C23×Dic3—31no—
95C23×Dic3—31no—
96C23×Dic3—31no—
97C23×Dic3—31no—
98C23×Dic3—61no—
99C23×Dic3—61no—
100C23×Dic3C2×D311yescharacteristic
101C23×Dic3C2×D311yescharacteristic
102C23×Dic3C2×D311yescharacteristic
103C2×C3×C4⋊C4—34no—
104C2×C3×C4⋊C4—64no—
105C2×C3×C22⋊C4—38no—
106C2×C3×C22⋊C4—34no—
107C2×#217—34no—
108C2×#217—34no—
109C2×#217—64no—
110C2×#217—64no—
111C2×(C2×D3)⋊C4—34no—
112C2×(C2×D3)⋊C4—34no—
113C2×(C2×D3)⋊C4—64no—
114C2×(C2×D3)⋊C4—64no—
115C2×(C2×D3)⋊C4Dic318yescomplemented
116C2×(C2×D3)⋊C4C2×D314yes—
117C2×C4⋊Dic3—24no—
118C2×C4⋊Dic3C2×D314yescomplemented
119C2×C4×Dic3—34no—
120C2×C4×Dic3—34no—
121C2×C4×Dic3—64no—
122C2×C4×Dic3—64no—
123C3⋊#95—34no—
124C3⋊#95—34no—
125C3⋊#95—34no—
126C3⋊#95—34no—
127C3⋊#95—64no—
128C23×C32C22×C412yes—
129C23×C32C2×D412yes—
130C23×C32C2×D412yes—
131C23×C32#4112yes—
132C23×C32#4112yes—
133C23×C32#4112yes—
134C23×C32#4112yes—
135C23×C32C2411yescharacteristic
136C22×C3×D3—28no—
137C22×C3×D3—28no—
138C22×C3×D3—28no—
139C22×C3×D3—22no—
140C22×C3×D3—22no—
141C22×C3×D3—22no—
142C22×C3×D3—22no—
143C22×C3×D3—22no—
144C22×C3×D3—22no—
145C22×C3×D3—44no—
146C22×C3×D3—44no—
147C22×C3×D3—44no—
148C22×C3×D3—44no—
149C22×C3×D3C22×C414yes—
150C2×C32×C4—28no—
151C2×C32×C4—22no—
152C2×C32×C4—22no—
153C2×C32×C4C22×C414yes—
154C2×C3⋊Dic3—22no—
155C2×C3⋊Dic3—28no—
156C2×C3⋊Dic3—22no—
157C2×C3⋊Dic3—22no—
158C2×C3⋊Dic3—22no—
159C2×C3⋊Dic3—22no—
160C2×C3⋊Dic3—44no—
161C2×C3⋊Dic3C2×D414yes—
162C2×C3×Dic3—28no—
163C2×C3×Dic3—28no—
164C2×C3×Dic3—22no—
165C2×C3×Dic3—22no—
166C2×C3×Dic3—22no—
167C2×C3×Dic3—22no—
168C2×C3×Dic3—22no—
169C2×C3×Dic3—22no—
170C2×C3×Dic3—22no—
171C2×C3×Dic3—44no—
172C2×C3×Dic3C22×C414yes—
173C2×C3×Dic3C2×D414yes—
174C22×C4⋊C4—31no—
175C22×C22⋊C4—31no—
176C22×C22⋊C4—91no—
177C22×C22⋊C4—91no—
178C22×C42—91no—
179#388—98no—
180C2×#95—91no—
181C2×#95—91no—
182C24×C3—21no—
183C24×C3—34no—
184C24×C3—32no—
185C24×C3—62no—
186C24×C3—62no—
187C24×C3—62no—
188C24×C3—62no—
189C24×C3—62no—
190C24×C3—62no—
191C24×C3C22×D311yescharacteristic
192C24×C3C22×D311yescharacteristic
193C23×D3—22no—
194C23×D3—22no—
195C23×D3—22no—
196C23×D3—22no—
197C23×D3—22no—
198C23×D3—22no—
199C23×D3C2×Dic314yes—
200C23×D3C22×D312yes—
201C22×C3×C4—22no—
202C22×C3×C4—22no—
203C22×C3×C4—22no—
204C22×C3×C4—22no—
205C22×C3×C4—24no—
206C22×C3×C4—22no—
207C22×C3×C4—34no—
208C22×C3×C4—34no—
209C22×C3×C4—32no—
210C22×C3×C4—32no—
211C22×C3×C4—32no—
212C22×C3×C4—42no—
213C22×C3×C4—42no—
214C22×C3×C4—62no—
215C22×C3×C4—62no—
216C22×C3×C4—62no—
217C22×C3×C4—62no—
218C22×C3×C4—62no—
219C22×C3×C4—62no—
220C22×C3×C4—62no—
221C22×C3×C4C4×D314yes—
222C22×C3×C4C2×Dic314yes—
223C22×C3×C4C22×D312yes—
224C22×C3×C4C22×D312yes—
225C22×Dic3—22no—
226C22×Dic3—22no—
227C22×Dic3—22no—
228C22×Dic3—22no—
229C22×Dic3—22no—
230C22×Dic3—22no—
231C22×Dic3—22no—
232C22×Dic3—34no—
233C22×Dic3—34no—
234C22×Dic3—32no—
235C22×Dic3—32no—
236C22×Dic3—32no—
237C22×Dic3—32no—
238C22×Dic3—62no—
239C22×Dic3—62no—
240C22×Dic3—64no—
241C22×Dic3—62no—
242C22×Dic3—62no—
243C22×Dic3—62no—
244C22×Dic3—62no—
245C22×Dic3—64no—
246C22×Dic3—62no—
247C22×Dic3—62no—
248C22×Dic3—62no—
249C22×Dic3—62no—
250C22×Dic3—62no—
251C22×Dic3—62no—
252C22×Dic3—122no—
253C22×Dic3—122no—
254C22×Dic3—122no—
255C22×Dic3—122no—
256C22×Dic3C2×Dic314yes—
257C22×Dic3#6714yes—
258C22×Dic3C22×D312yes—
259C22×Dic3C22×D312yes—
260C22×Dic3C22×D312yes—
261C3×C4⋊C4—68no—
262C3×C22⋊C4—316no—
263#217—68no—
264#217—68no—
265(C2×D3)⋊C4—68no—
266(C2×D3)⋊C4—68no—
267(C2×D3)⋊C4C2×Dic3116yescomplemented
268C4⋊Dic3—28no—
269C4×Dic3—68no—
270C4×Dic3—68no—
271C22×C32#11714yes—
272C22×C32C4×D414yes—
273C22×C32C4×D414yes—
274C22×C32#12114yes—
275C22×C32#12314yes—
276C22×C32#12414yes—
277C22×C32#12614yes—
278C22×C32C23×C411yescharacteristic
279C22×C32C22×D411yescharacteristic
280C22×C32C22×D411yescharacteristic
281C22×C32C2×#4111yescharacteristic
282C22×C32C2×#4111yescharacteristic
283C22×C32C2×#4111yescharacteristic
284C22×C32C2×#4111yescharacteristic
285C2×C3×D3—24no—
286C2×C3×D3—24no—
287C2×C3×D3—24no—
288C2×C3×D3—42no—
289C2×C3×D3—42no—
290C2×C3×D3—42no—
291C2×C3×D3—42no—
292C2×C3×D3—416no—
293C32×C4—24no—
294C3⋊Dic3—24no—
295C3⋊Dic3—42no—
296C3×Dic3—24no—
297C3×Dic3—24no—
298C3×Dic3—42no—
299C25—31no—
300C23×C4—31no—
301C23×C4—31no—
302C23×C4—31no—
303C23×C4—91no—
304C23×C4—91no—
305C23×C4D3211yescharacteristic
306C2×C4⋊C4—34no—
307C2×C4⋊C4—64no—
308C2×C22⋊C4—38no—
309C2×C22⋊C4—34no—
310C2×C22⋊C4—94no—
311C2×C22⋊C4—94no—
312C2×C22⋊C4—184no—
313C2×C22⋊C4—184no—
314C2×C42—94no—
315C2×C42—184no—
316#95—94no—
317#95—94no—
318C23×C3—21no—
319C23×C3—22no—
320C23×C3—22no—
321C23×C3—22no—
322C23×C3—22no—
323C23×C3—22no—
324C23×C3—22no—
325C23×C3—22no—
326C23×C3—34no—
327C23×C3—68no—
328C23×C3—68no—
329C23×C3—68no—
330C23×C3—62no—
331C23×C3—62no—
332C23×C3—62no—
333C23×C3—62no—
334C23×C3—62no—
335C23×C3—62no—
336C23×C3—124no—
337C23×C3—124no—
338C23×C3—124no—
339C23×C3—124no—
340C23×C3C2×C4×D312yes—
341C23×C3#23512yes—
342C23×C3#23512yes—
343C23×C3#23512yes—
344C23×C3D3×D412yes—
345C23×C3D3×D412yes—
346C23×C3D3×D412yes—
347C23×C3#23712yes—
348C23×C3#23712yes—
349C23×C3#23712yes—
350C23×C3#23912yes—
351C23×C3#23912yes—
352C23×C3C22×Dic312yes—
353C23×C3C2×#6712yes—
354C23×C3C23×D311yescharacteristic
355C23×C3C23×D311yescharacteristic
356C22×D3—28no—
357C22×D3—28no—
358C22×D3—28no—
359C22×D3—22no—
360C22×D3—22no—
361C22×D3—22no—
362C22×D3—22no—
363C22×D3—22no—
364C22×D3—22no—
365C22×D3—44no—
366C22×D3—44no—
367C22×D3—44no—
368C22×D3—44no—
369C22×D3C22×Dic314yes—
370C2×C3×C4—28no—
371C2×C3×C4—28no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—24no—
377C2×C3×C4—34no—
378C2×C3×C4—34no—
379C2×C3×C4—42no—
380C2×C3×C4—42no—
381C2×C3×C4—48no—
382C2×C3×C4—68no—
383C2×C3×C4—68no—
384C2×C3×C4—62no—
385C2×C3×C4—62no—
386C2×C3×C4—62no—
387C2×C3×C4—62no—
388C2×C3×C4—62no—
389C2×C3×C4—62no—
390C2×C3×C4—62no—
391C2×C3×C4—124no—
392C2×C3×C4C2×C4×D314yes—
393C2×C3×C4C22×Dic314yes—
394C2×Dic3—28no—
395C2×Dic3—28no—
396C2×Dic3—22no—
397C2×Dic3—22no—
398C2×Dic3—22no—
399C2×Dic3—22no—
400C2×Dic3—22no—
401C2×Dic3—22no—
402C2×Dic3—22no—
403C2×Dic3—34no—
404C2×Dic3—34no—
405C2×Dic3—44no—
406C2×Dic3—64no—
407C2×Dic3—68no—
408C2×Dic3—68no—
409C2×Dic3—62no—
410C2×Dic3—62no—
411C2×Dic3—62no—
412C2×Dic3—62no—
413C2×Dic3—64no—
414C2×Dic3—62no—
415C2×Dic3—62no—
416C2×Dic3—62no—
417C2×Dic3—62no—
418C2×Dic3—62no—
419C2×Dic3—62no—
420C2×Dic3—122no—
421C2×Dic3—122no—
422C2×Dic3—128no—
423C2×Dic3—122no—
424C2×Dic3—122no—
425C2×Dic3—128no—
426C2×Dic3—124no—
427C2×Dic3—124no—
428C2×Dic3C22×Dic314yes—
429C2×Dic3C2×#6714yes—
430C2×C32#38818yescomplemented
431C2×C32C2×#11711yescharacteristic
432C2×C32C2×C4×D411yescharacteristic
433C2×C32C2×C4×D411yescharacteristic
434C2×C32C2×#12111yescharacteristic
435C2×C32C2×#12311yescharacteristic
436C2×C32C2×#12411yescharacteristic
437C2×C32C2×#12611yescharacteristic
438C3×D3—44no—
439C24—32no—
440C24—34no—
441C24—62no—
442C24—62no—
443C24—62no—
444C24—62no—
445C24—62no—
446C24—62no—
447C24C2×D3211yescharacteristic
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—32no—
451C22×C4—32no—
452C22×C4—34no—
453C22×C4—34no—
454C22×C4—32no—
455C22×C4—62no—
456C22×C4—62no—
457C22×C4—62no—
458C22×C4—62no—
459C22×C4—62no—
460C22×C4—62no—
461C22×C4—62no—
462C22×C4—92no—
463C22×C4—94no—
464C22×C4—92no—
465C22×C4—182no—
466C22×C4—182no—
467C22×C4—182no—
468C22×C4—182no—
469C22×C4—182no—
470C22×C4D3×Dic314yes—
471C22×C4C2×D3212yes—
472C4⋊C4—68no—
473C22⋊C4—316no—
474C22⋊C4—188no—
475C22⋊C4—188no—
476C42—188no—
477C22×C3—21no—
478C22×C3—21no—
479C22×C3—21no—
480C22×C3—21no—
481C22×C3—21no—
482C22×C3—21no—
483C22×C3—21no—
484C22×C3—24no—
485C22×C3—24no—
486C22×C3—24no—
487C22×C3—24no—
488C22×C3—24no—
489C22×C3—24no—
490C22×C3—24no—
491C22×C3—64no—
492C22×C3—64no—
493C22×C3—64no—
494C22×C3—1216no—
495C22×C3—122no—
496C22×C3—122no—
497C22×C3—122no—
498C22×C3—122no—
499C22×C3#87914yes—
500C22×C3#88314yes—
501C22×C3#88414yes—
502C22×C3#88514yes—
503C22×C3#89214yes—
504C22×C3#89314yes—
505C22×C3#89414yes—
506C22×C3#89814yes—
507C22×C3#92614yes—
508C22×C3C4×#6714yes—
509C22×C3D4×Dic314yes—
510C22×C3D4×Dic314yes—
511C22×C3#93914yes—
512C22×C3#94714yes—
513C22×C3C22×C4×D311yescharacteristic
514C22×C3C2×#23511yescharacteristic
515C22×C3C2×#23511yescharacteristic
516C22×C3C2×#23511yescharacteristic
517C22×C3C2×D3×D411yescharacteristic
518C22×C3C2×D3×D411yescharacteristic
519C22×C3C2×D3×D411yescharacteristic
520C22×C3C2×#23711yescharacteristic
521C22×C3C2×#23711yescharacteristic
522C22×C3C2×#23711yescharacteristic
523C22×C3C2×#23911yescharacteristic
524C22×C3C2×#23911yescharacteristic
525C22×C3C23×Dic311yescharacteristic
526C22×C3C22×#6711yescharacteristic
527C2×D3—24no—
528C2×D3—24no—
529C2×D3—24no—
530C2×D3—416no—
531C2×D3—42no—
532C2×D3—42no—
533C2×D3—42no—
534C2×D3—42no—
535C3×C4—24no—
536C3×C4—24no—
537C3×C4—44no—
538C3×C4—64no—
539C3×C4—64no—
540C3×C4—122no—
541Dic3—24no—
542Dic3—24no—
543Dic3—42no—
544Dic3—64no—
545Dic3—64no—
546Dic3—124no—
547Dic3—124no—
548Dic3—122no—
549Dic3—122no—
550C32C2×#38811yescharacteristic, complemented, Sylow
551C23—34no—
552C23—62no—
553C23—62no—
554C23—62no—
555C23—62no—
556C23—62no—
557C23—62no—
558C23—68no—
559C23—68no—
560C23—68no—
561C23—124no—
562C23—124no—
563C23—124no—
564C23—124no—
565C23#379512yes—
566C23#379612yes—
567C23#379912yes—
568C23#380212yes—
569C23C2×D3×Dic312yes—
570C23#380412yes—
571C23D3×#6712yes—
572C23C22×D3211yescharacteristic
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—28no—
576C2×C4—34no—
577C2×C4—34no—
578C2×C4—62no—
579C2×C4—62no—
580C2×C4—62no—
581C2×C4—62no—
582C2×C4—68no—
583C2×C4—68no—
584C2×C4—62no—
585C2×C4—62no—
586C2×C4—62no—
587C2×C4—94no—
588C2×C4—124no—
589C2×C4—182no—
590C2×C4—182no—
591C2×C4—188no—
592C2×C4—182no—
593C2×C4—182no—
594C2×C4—182no—
595C2×C4—364no—
596C2×C4C2×D3×Dic314yes—
597C2×C3—21no—
598C2×C3—21no—
599C2×C3—28no—
600C2×C3—21no—
601C2×C3—21no—
602C2×C3—21no—
603C2×C3—21no—
604C2×C3—21no—
605C2×C3—124no—
606C2×C3#495118yescomplemented
607C2×C3#499018yescomplemented
608C2×C3C2×#87911yescharacteristic
609C2×C3C2×#88311yescharacteristic
610C2×C3C2×#88411yescharacteristic
611C2×C3C2×#88511yescharacteristic
612C2×C3C2×#89211yescharacteristic
613C2×C3C2×#89311yescharacteristic
614C2×C3C2×#89411yescharacteristic
615C2×C3C2×#89811yescharacteristic
616C2×C3C2×#92611yescharacteristic
617C2×C3C2×C4×#6711yescharacteristic
618C2×C3C2×D4×Dic311yescharacteristic
619C2×C3C2×D4×Dic311yescharacteristic
620C2×C3C2×#93911yescharacteristic
621C2×C3C2×#94711yescharacteristic
622D3—44no—
623C22—64no—
624C22—64no—
625C22—64no—
626C22—122no—
627C22—122no—
628C22—1216no—
629C22—122no—
630C22—122no—
631C22#6384114yes—
632C22#6385414yes—
633C22#6385814yes—
634C22#6388514yes—
635C22#6389814yes—
636C22#6390714yes—
637C22Dic3×#6714yes—
638C22C2×#379511yescharacteristic
639C22C2×#379611yescharacteristic
640C22C2×#379911yescharacteristic
641C22C2×#380211yescharacteristic
642C22C22×D3×Dic311yescharacteristic
643C22C2×#380411yescharacteristic
644C22C2×D3×#6711yescharacteristic
645C4—24no—
646C4—64no—
647C4—64no—
648C4—122no—
649C4—184no—
650C4—362no—
651C3—21no—
652C3C2×#495111yescharacteristic, complemented
653C3C2×#499011yescharacteristic, complemented
654C2—124no—
655C2#1059130718yesdirect product factor
656C2C2×#6384111yescharacteristic
657C2C2×#6385411yescharacteristic
658C2C2×#6385811yescharacteristic
659C2C2×#6388511yescharacteristic
660C2C2×#6389811yescharacteristic
661C2C2×#6390711yescharacteristic
662C2C2×Dic3×#6711yescharacteristic
subgroupG/H
centerC24C2×D32
commutatorC22×C32C23×C4
FrattiniC23C22×D32
FittingC23×C32×C4C22
socleC24×C32C23
prime radicalC24×C3×D3C22
cosocleC23×C32C24
hypercenterC23×C4D32
hypocenterC32C2×#388
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C24 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C22×C3×C4⋊Dic3C2semidirect
5. C22×Dic32C2semidirect
6. C2×#63658C2semidirect
7. C2×#63579C2semidirect
8. #10591307C2direct (N × H)
18. C2×C3×(C2×D3)⋊C4C4semidirect
21. C2×C3×C4⋊Dic3C22semidirect
27. C2×Dic32C22semidirect
28. #63658C22semidirect
29. #63579C22semidirect
37. C22×C4⋊Dic3D3semidirect
80. C3×(C2×D3)⋊C4C2×C4semidirect
115. C2×(C2×D3)⋊C4Dic3semidirect
118. C2×C4⋊Dic3C2×D3semidirect
267. (C2×D3)⋊C4C2×Dic3semidirect
430. C2×C32#388semidirect
550. C32C2×#388semidirect
606. C2×C3#4951semidirect
607. C2×C3#4990semidirect
652. C3C2×#4951semidirect
653. C3C2×#4990semidirect
655. C2#10591307direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×(C2×D3)⋊C42
C22×C3×C4⋊Dic32
C22×(C2×D3)⋊Dic32
C22×Dic322
C2×#636582
C2×#635792
#105913072
C2×#49903
C2×#49513