Finite Group Databasebeta

← C2×#10595038 #11901337

Subgroups — C2×#10595038 #11901337

Order 1152.

2885 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64139C211yesmaximal, characteristic, complemented
2C22×C3×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
3C2×C3×#924C211yesmaximal, characteristic, complemented
4C2×#63977C212yesmaximal, complemented
5C2×#63952C212yesmaximal, complemented
6#10595038C2116yesmaximal, direct product factor
7C2×#63910C212yesmaximal, complemented
8C2×#63907C212yesmaximal, complemented
9C2×#63861C212yesmaximal, complemented
10C2×#63854C212yesmaximal, complemented
11C2×#5644—31nomaximal
12C2×#5494—31nomaximal
13C24×C3×D3C2211yescharacteristic
14C23×C32×C4C2211yescharacteristic
15C22×#638C2212yes—
16C22×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
17C23×C3×Dic3C2211yescharacteristic
18C22×C3×Dic6C2211yescharacteristic, complemented
19C22×#626C2212yes—
20C22×#626C2212yes—
21C22×#624C2212yescomplemented
22#64139C2218yescomplemented
23C2×#3752C2212yescomplemented
24C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
25C2×C3×#217C2212yes—
26C2×C3×(C2×D3)⋊C4C2212yes—
27C2×C3×(C2×D3)⋊C4C2212yes—
28C2×C3×(C2×D3)⋊C4C2218yescomplemented
29C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
30C3×#924C2218yescomplemented
31C2×C3×Dic3⋊C4C2212yescomplemented
32#63977C22116yescomplemented
33C2×#3724C2212yescomplemented
34C2×#3722C2212yescomplemented
35C2×(C2×D3)⋊Dic3C2212yes—
36C2×(C2×D3)⋊Dic3C2212yes—
37C2×Dic32C2212yescomplemented
38#63952C22116yescomplemented
39#63910C22116yescomplemented
40#63907C22116yescomplemented
41#63861C22116yescomplemented
42#63854C22116yescomplemented
43C2×C3×C22⋊Q8—31no—
44C22×C3×C22⋊C4—31no—
45C2×#953—32no—
46C2×#947—32no—
47C2×#930—31no—
48C2×#930—31no—
49C2×#930—61no—
50C2×C4×#67—32no—
51C22×(C2×D3)⋊C4D311yescharacteristic, complemented
52C2×#924D311yescharacteristic, complemented
53#5644—316no—
54C2×#898—32no—
55C2×#895—32no—
56C2×#894—32no—
57#5494—316no—
58C2×#885—32no—
59C2×#884—32no—
60C2×#883—32no—
61C2×#882—32no—
62C2×#67⋊C4—32no—
63C2×#879—32no—
64C24×C32C2311yescharacteristic
65C23×C3⋊D3C2312yes—
66C23×C3×D3—24no—
67C23×C3×D3—42no—
68C23×C3×D3—42no—
69C23×C3×D3C2312yes—
70C23×C3×D3C2314yes—
71C22×C32×C4—42no—
72C22×C32×C4C2311yescharacteristic
73C22×C32×C4C2311yescharacteristic
74C22×C32×C4C2314yes—
75C2×#638—28no—
76C2×#638C2318yes—
77C22×C3⋊Dic3C2312yes—
78C2×C4⋊(C3⋊D3)—42no—
79C2×C4⋊(C3⋊D3)C2314yescomplemented
80C22×C3×Dic3—42no—
81C22×C3×Dic3C2312yes—
82C22×C3×Dic3C2312yes—
83C22×C3×Dic3C2312yes—
84C22×C3×Dic3C2314yes—
85C2×C3×Dic6—42no—
86C2×C3×Dic6C2314yescomplemented
87C2×#626—44no—
88C2×#626—44no—
89C2×#626C2318yes—
90C2×#626C2318yes—
91C2×#624—44no—
92C2×#624C2318yescomplemented
93#3752C2318yescomplemented
94C4⋊(C3⋊Dic3)C2314yescomplemented
95C3×#217C2318yes—
96C3×(C2×D3)⋊C4C2318yes—
97C3×(C2×D3)⋊C4C2318yes—
98C3×C4⋊Dic3C2314yescomplemented
99C3×Dic3⋊C4C2318yescomplemented
100#3724C2318yescomplemented
101#3722C2318yescomplemented
102(C2×D3)⋊Dic3C2318yes—
103(C2×D3)⋊Dic3C2318yes—
104Dic32C2318yescomplemented
105C2×#538—91noSylow
106C25×C3—31no—
107C24×D3C2×D311yescharacteristic
108C22×C3×Q8—31no—
109C23×C3×C4—21no—
110C23×C3×C4—31no—
111C23×C3×C4C2×D311yescharacteristic
112C23×C3×C4C2×D311yescharacteristic
113C22×#67—32no—
114C22×#67—32no—
115C22×#67—32no—
116C22×#67—32no—
117C22×#67—62no—
118C23×Dic3C2×D311yescharacteristic
119C22×D12—32no—
120C22×D12—32no—
121C22×D12—31no—
122C22×D12—31no—
123C22×D12—61no—
124C22×C4×D3—32no—
125C22×C4×D3—32no—
126C22×Dic6C2×D311yescharacteristic, complemented
127C3×C22⋊Q8—38no—
128C2×C3×C4⋊C4—32no—
129C2×C3×C4⋊C4—31no—
130C2×C3×C22⋊C4—32no—
131C2×C3×C22⋊C4—32no—
132C2×C3×C22⋊C4—32no—
133C2×C3×C22⋊C4—38no—
134#953—316no—
135C2×#217—32no—
136C2×#217—32no—
137C2×#217C2×D312yes—
138#947—316no—
139#930—38no—
140#930—38no—
141#930—68no—
142C4×#67—316no—
143C2×(C2×D3)⋊C4—32no—
144C2×(C2×D3)⋊C4—32no—
145C2×(C2×D3)⋊C4—32no—
146C2×(C2×D3)⋊C4—32no—
147C2×(C2×D3)⋊C4—32no—
148C2×(C2×D3)⋊C4—32no—
149C2×(C2×D3)⋊C4—62no—
150C2×(C2×D3)⋊C4C2×D312yes—
151C2×(C2×D3)⋊C4C2×D312yes—
152C2×(C2×D3)⋊C4C2×D318yescomplemented
153C2×C4⋊Dic3—31no—
154C2×C4⋊Dic3—31no—
155C2×C4⋊Dic3—61no—
156C2×C4⋊Dic3C2×D311yescharacteristic, complemented
157#924C2×D318yescomplemented
158C2×Dic3⋊C4—32no—
159C2×Dic3⋊C4—32no—
160C2×Dic3⋊C4C2×D312yescomplemented
161C2×C4×Dic3—32no—
162C2×C4×Dic3—32no—
163#898—316no—
164#895—316no—
165#894—316no—
166#885—316no—
167#884—316no—
168#883—316no—
169#882—316no—
170#67⋊C4—316no—
171#879—316no—
172C23×C32—22no—
173C23×C32—22no—
174C23×C32#4114yes—
175C23×C32C2412yes—
176C23×C32C2411yescharacteristic
177C22×C3⋊D3—24no—
178C22×C3⋊D3—24no—
179C22×C3⋊D3—24no—
180C22×C3⋊D3C2414yes—
181C22×C3×D3—28no—
182C22×C3×D3—24no—
183C22×C3×D3—24no—
184C22×C3×D3—24no—
185C22×C3×D3—44no—
186C22×C3×D3—44no—
187C22×C3×D3—416no—
188C22×C3×D3C2414yes—
189C2×C32×C4—22no—
190C2×C32×C4—22no—
191C2×C32×C4—44no—
192C2×C32×C4C2412yes—
193C2×C32×C4C2412yes—
194#638—216no—
195C2×C3⋊Dic3—24no—
196C2×C3⋊Dic3C2414yes—
197C4⋊(C3⋊D3)—44no—
198C2×C3×Dic3—24no—
199C2×C3×Dic3—24no—
200C2×C3×Dic3—24no—
201C2×C3×Dic3—44no—
202C2×C3×Dic3C2414yes—
203C2×C3×Dic3C2414yes—
204C2×C3×Dic3C2414yes—
205C3×Dic6—44no—
206#626—48no—
207#626—48no—
208#624—48no—
209#538—916no—
210C2×#126—92no—
211C2×#124—92no—
212C2×#123—92no—
213C2×C22⋊Q8—31no—
214C2×#121—92no—
215C2×#121—91no—
216C2×#120—92no—
217C2×C4×D4—92no—
218C22×C22⋊C4—31no—
219C24×C3—21no—
220C24×C3—32no—
221C24×C3—34no—
222C24×C3—64no—
223C24×C3—122no—
224C24×C3—122no—
225C24×C3C22×D311yescharacteristic
226C24×C3C22×D311yescharacteristic
227C23×D3—24no—
228C23×D3—32no—
229C23×D3—32no—
230C23×D3—42no—
231C23×D3—42no—
232C23×D3—62no—
233C23×D3C22×D312yes—
234C23×D3C22×D314yes—
235C2×C3×Q8—34no—
236C2×C3×Q8—122no—
237C22×C3×C4—21no—
238C22×C3×C4—21no—
239C22×C3×C4—24no—
240C22×C3×C4—32no—
241C22×C3×C4—32no—
242C22×C3×C4—32no—
243C22×C3×C4—34no—
244C22×C3×C4—42no—
245C22×C3×C4—42no—
246C22×C3×C4—44no—
247C22×C3×C4—122no—
248C22×C3×C4C22×D311yescharacteristic
249C22×C3×C4C22×D311yescharacteristic
250C22×C3×C4C22×D311yescharacteristic
251C22×C3×C4C22×D311yescharacteristic
252C22×C3×C4C22×D314yes—
253C22×C3×C4C22×D314yes—
254C2×#67—38no—
255C2×#67—38no—
256C2×#67—38no—
257C2×#67—38no—
258C2×#67—68no—
259C2×#67—68no—
260C2×#67—68no—
261C2×#67—128no—
262C2×#67—124no—
263C2×#67—124no—
264C22×Dic3—32no—
265C22×Dic3—32no—
266C22×Dic3—42no—
267C22×Dic3—62no—
268C22×Dic3C22×D312yes—
269C22×Dic3C22×D312yes—
270C22×Dic3C22×D312yes—
271C22×Dic3C22×D314yes—
272C2×D12—38no—
273C2×D12—38no—
274C2×D12—34no—
275C2×D12—34no—
276C2×D12—64no—
277C2×D12—122no—
278C2×D12—122no—
279C2×D12—124no—
280C2×D12—124no—
281C2×D12—124no—
282C2×C4×D3—38no—
283C2×C4×D3—38no—
284C2×C4×D3—124no—
285C2×C4×D3—124no—
286C2×Dic6—42no—
287C2×Dic6C22×D314yescomplemented
288C3×C4⋊C4—34no—
289C3×C4⋊C4—38no—
290C3×C22⋊C4—38no—
291C3×C22⋊C4—38no—
292C3×C22⋊C4—38no—
293#217—38no—
294#217—38no—
295#217C22×D318yes—
296(C2×D3)⋊C4—38no—
297(C2×D3)⋊C4—38no—
298(C2×D3)⋊C4—38no—
299(C2×D3)⋊C4—38no—
300(C2×D3)⋊C4—38no—
301(C2×D3)⋊C4—38no—
302(C2×D3)⋊C4—68no—
303(C2×D3)⋊C4C22×D318yes—
304(C2×D3)⋊C4C22×D318yes—
305C4⋊Dic3—34no—
306C4⋊Dic3—34no—
307C4⋊Dic3—64no—
308C4⋊Dic3C22×D314yescomplemented
309Dic3⋊C4—38no—
310Dic3⋊C4—38no—
311Dic3⋊C4C22×D318yescomplemented
312C4×Dic3—38no—
313C4×Dic3—38no—
314C22×C32—28no—
315C22×C32—22no—
316C22×C32—22no—
317C22×C32C2×#4114yes—
318C22×C32C2×#4112yes—
319C22×C32H(5,𝔽2)12yes—
320C22×C32H(5,𝔽2)12yes—
321C22×C32C2511yescharacteristic
322C2×C3⋊D3—24no—
323C2×C3⋊D3—24no—
324C2×C3⋊D3—24no—
325C2×C3⋊D3—48no—
326C2×C3×D3—24no—
327C2×C3×D3—24no—
328C2×C3×D3—24no—
329C2×C3×D3—416no—
330C2×C3×D3—48no—
331C32×C4—22no—
332C32×C4—22no—
333C3⋊Dic3—24no—
334C3×Dic3—24no—
335C3×Dic3—24no—
336C3×Dic3—24no—
337C25—31no—
338C22×Q8—31no—
339C22×D4—92no—
340C22×D4—92no—
341C22×D4—92no—
342C22×D4—91no—
343C23×C4—31no—
344C23×C4—92no—
345C23×C4D3211yescharacteristic
346#126—916no—
347#124—916no—
348#123—916no—
349C22⋊Q8—38no—
350#121—916no—
351#121—98no—
352#120—916no—
353C4×D4—916no—
354C2×C4⋊C4—32no—
355C2×C4⋊C4—31no—
356C2×C4⋊C4—92no—
357C2×C4⋊C4—91no—
358C2×C22⋊C4—32no—
359C2×C22⋊C4—32no—
360C2×C22⋊C4—32no—
361C2×C22⋊C4—38no—
362C2×C22⋊C4—92no—
363C2×C22⋊C4—92no—
364C2×C22⋊C4—92no—
365C2×C22⋊C4—92no—
366C2×C42—92no—
367C23×C3—22no—
368C23×C3—22no—
369C23×C3—22no—
370C23×C3—22no—
371C23×C3—22no—
372C23×C3—21no—
373C23×C3—24no—
374C23×C3—34no—
375C23×C3—42no—
376C23×C3—42no—
377C23×C3—64no—
378C23×C3—68no—
379C23×C3—64no—
380C23×C3—64no—
381C23×C3—124no—
382C23×C3—124no—
383C23×C3—1216no—
384C23×C3#23514yes—
385C23×C3#23914yes—
386C23×C3C23×D312yes—
387C23×C3C23×D312yes—
388C23×C3C23×D311yescharacteristic
389C23×C3C23×D311yescharacteristic
390C22×D3—28no—
391C22×D3—24no—
392C22×D3—24no—
393C22×D3—24no—
394C22×D3—34no—
395C22×D3—34no—
396C22×D3—44no—
397C22×D3—44no—
398C22×D3—416no—
399C22×D3—64no—
400C22×D3—64no—
401C22×D3—64no—
402C22×D3—64no—
403C22×D3—64no—
404C22×D3—64no—
405C22×D3—64no—
406C22×D3—124no—
407C22×D3—124no—
408C22×D3—124no—
409C22×D3C23×D314yes—
410C3×Q8—124no—
411C2×C3×C4—24no—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—22no—
415C2×C3×C4—22no—
416C2×C3×C4—22no—
417C2×C3×C4—22no—
418C2×C3×C4—34no—
419C2×C3×C4—34no—
420C2×C3×C4—34no—
421C2×C3×C4—42no—
422C2×C3×C4—44no—
423C2×C3×C4—44no—
424C2×C3×C4—48no—
425C2×C3×C4—64no—
426C2×C3×C4—64no—
427C2×C3×C4—64no—
428C2×C3×C4—124no—
429C2×C3×C4C23×D312yes—
430C2×C3×C4C23×D312yes—
431C2×C3×C4C23×D312yes—
432C2×C3×C4C23×D312yes—
433#67—616no—
434#67—616no—
435#67—1216no—
436#67—128no—
437#67—128no—
438C2×Dic3—24no—
439C2×Dic3—24no—
440C2×Dic3—24no—
441C2×Dic3—34no—
442C2×Dic3—34no—
443C2×Dic3—44no—
444C2×Dic3—64no—
445C2×Dic3—64no—
446C2×Dic3—64no—
447C2×Dic3—124no—
448C2×Dic3C23×D314yes—
449C2×Dic3C23×D314yes—
450C2×Dic3C23×D314yes—
451D12—124no—
452D12—124no—
453D12—128no—
454D12—128no—
455D12—128no—
456C4×D3—128no—
457C4×D3—128no—
458Dic6—44no—
459C2×C32—24no—
460C2×C32#53814yescomplemented
461C2×C32C22×#4111yescharacteristic
462C2×C32C2×H(5,𝔽2)11yescharacteristic
463C2×C32C2×H(5,𝔽2)11yescharacteristic
464C3⋊D3—44no—
465C3×D3—44no—
466C24—32no—
467C24—34no—
468C24—64no—
469C24—92no—
470C24—122no—
471C24—122no—
472C24C2×D3211yescharacteristic
473C2×Q8—34no—
474C2×Q8—122no—
475C2×D4—98no—
476C2×D4—98no—
477C2×D4—98no—
478C2×D4—94no—
479C2×D4—188no—
480C2×D4—362no—
481C2×D4—364no—
482C2×D4—364no—
483C22×C4—32no—
484C22×C4—32no—
485C22×C4—32no—
486C22×C4—34no—
487C22×C4—42no—
488C22×C4—98no—
489C22×C4—92no—
490C22×C4—122no—
491C22×C4—364no—
492C22×C4C2×D3211yescharacteristic
493C22×C4C2×D3211yescharacteristic
494C22×C4C2×D3214yes—
495C4⋊C4—38no—
496C4⋊C4—34no—
497C4⋊C4—98no—
498C4⋊C4—94no—
499C22⋊C4—38no—
500C22⋊C4—38no—
501C22⋊C4—38no—
502C22⋊C4—98no—
503C22⋊C4—98no—
504C22⋊C4—98no—
505C22⋊C4—98no—
506C42—98no—
507C22×C3—28no—
508C22×C3—22no—
509C22×C3—22no—
510C22×C3—22no—
511C22×C3—22no—
512C22×C3—28no—
513C22×C3—22no—
514C22×C3—24no—
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—21no—
518C22×C3—42no—
519C22×C3—42no—
520C22×C3—48no—
521C22×C3—64no—
522C22×C3—64no—
523C22×C3—64no—
524C22×C3—1216no—
525C22×C3—128no—
526C22×C3C2×#23514yes—
527C22×C3C2×#23512yes—
528C22×C3#100412yes—
529C22×C3#100412yes—
530C22×C3#100412yes—
531C22×C3C2×#23914yes—
532C22×C3C2×#23912yes—
533C22×C3#100912yes—
534C22×C3C24×D311yescharacteristic
535C22×C3C24×D311yescharacteristic
536C2×D3—24no—
537C2×D3—24no—
538C2×D3—24no—
539C2×D3—416no—
540C2×D3—48no—
541C2×D3—64no—
542C2×D3—64no—
543C2×D3—64no—
544C2×D3—64no—
545C2×D3—64no—
546C2×D3—64no—
547C2×D3—124no—
548C2×D3—124no—
549C2×D3—124no—
550C2×D3—128no—
551C2×D3—128no—
552C2×D3—248no—
553C3×C4—24no—
554C3×C4—22no—
555C3×C4—22no—
556C3×C4—22no—
557C3×C4—22no—
558C3×C4—42no—
559C3×C4—64no—
560C3×C4—64no—
561C3×C4—64no—
562Dic3—24no—
563Dic3—24no—
564Dic3—24no—
565Dic3—64no—
566Dic3—64no—
567Dic3—124no—
568C32C2×#53811yescharacteristic, complemented, Sylow
569C23—22no—
570C23—22no—
571C23—34no—
572C23—68no—
573C23—64no—
574C23—64no—
575C23—64no—
576C23—94no—
577C23—124no—
578C23—124no—
579C23—1216no—
580C23—184no—
581C23—184no—
582C23—184no—
583C23#379914yes—
584C23C22×D3212yes—
585C23C22×D3211yescharacteristic
586Q8—124no—
587D4—1816no—
588D4—364no—
589D4—368no—
590D4—368no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—34no—
594C2×C4—34no—
595C2×C4—34no—
596C2×C4—44no—
597C2×C4—64no—
598C2×C4—64no—
599C2×C4—64no—
600C2×C4—94no—
601C2×C4—124no—
602C2×C4—184no—
603C2×C4—368no—
604C2×C4C22×D3212yes—
605C2×C4C22×D3212yes—
606C2×C3—24no—
607C2×C3—24no—
608C2×C3—21no—
609C2×C3—21no—
610C2×C3—21no—
611C2×C3—24no—
612C2×C3—44no—
613C2×C3—124no—
614C2×C3#549414yescomplemented
615C2×C3#564414yescomplemented
616C2×C3C22×#23511yescharacteristic
617C2×C3C2×#100411yescharacteristic
618C2×C3C2×#100411yescharacteristic
619C2×C3C2×#100411yescharacteristic
620C2×C3C22×#23911yescharacteristic
621C2×C3C2×#100911yescharacteristic
622D3—44no—
623D3—124no—
624D3—124no—
625D3—244no—
626C22—22no—
627C22—22no—
628C22—28no—
629C22—64no—
630C22—64no—
631C22—64no—
632C22—1216no—
633C22—128no—
634C22—184no—
635C22—184no—
636C22—184no—
637C22—368no—
638C22C2×#379914yes—
639C22C2×#379912yes—
640C22#6430712yes—
641C22#6433012yes—
642C22C23×D3211yescharacteristic
643C4—22no—
644C4—22no—
645C4—64no—
646C4—64no—
647C4—64no—
648C4—184no—
649C3—21no—
650C3C2×#549411yescharacteristic, complemented
651C3C2×#564411yescharacteristic, complemented
652C2—24no—
653C2—124no—
654C2—364no—
655C2#1059503814yesdirect product factor
656C2C22×#379911yescharacteristic
657C2C2×#6430711yescharacteristic
658C2C2×#6433011yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC23×C32×C4C22
socleC23×C32C24
hypercenterC23×C4D32
hypocenterC32C2×#538
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C2×#64139C2semidirect
2. C22×C3×(C2×D3)⋊C4C2semidirect
3. C2×C3×#924C2semidirect
4. C2×#63977C2semidirect
5. C2×#63952C2semidirect
6. #10595038C2direct (N × H)
7. C2×#63910C2semidirect
8. C2×#63907C2semidirect
9. C2×#63861C2semidirect
10. C2×#63854C2semidirect
16. C22×C4⋊(C3⋊D3)C22semidirect
18. C22×C3×Dic6C22semidirect
21. C22×#624C22semidirect
22. #64139C22semidirect
23. C2×#3752C22semidirect
24. C2×C4⋊(C3⋊Dic3)C22semidirect
28. C2×C3×(C2×D3)⋊C4C22semidirect
29. C2×C3×C4⋊Dic3C22semidirect
30. C3×#924C22semidirect
31. C2×C3×Dic3⋊C4C22semidirect
32. #63977C22semidirect
33. C2×#3724C22semidirect
34. C2×#3722C22semidirect
37. C2×Dic32C22semidirect
38. #63952C22semidirect
39. #63910C22semidirect
40. #63907C22semidirect
41. #63861C22semidirect
42. #63854C22semidirect
51. C22×(C2×D3)⋊C4D3semidirect
52. C2×#924D3semidirect
79. C2×C4⋊(C3⋊D3)C23semidirect
86. C2×C3×Dic6C23semidirect
92. C2×#624C23semidirect
93. #3752C23semidirect
94. C4⋊(C3⋊Dic3)C23semidirect
98. C3×C4⋊Dic3C23semidirect
99. C3×Dic3⋊C4C23semidirect
100. #3724C23semidirect
101. #3722C23semidirect
104. Dic32C23semidirect
126. C22×Dic6C2×D3semidirect
152. C2×(C2×D3)⋊C4C2×D3semidirect
156. C2×C4⋊Dic3C2×D3semidirect
157. #924C2×D3semidirect
160. C2×Dic3⋊C4C2×D3semidirect
287. C2×Dic6C22×D3semidirect
308. C4⋊Dic3C22×D3semidirect
311. Dic3⋊C4C22×D3semidirect
460. C2×C32#538semidirect
568. C32C2×#538semidirect
614. C2×C3#5494semidirect
615. C2×C3#5644semidirect
650. C3C2×#5494semidirect
651. C3C2×#5644semidirect
655. C2#10595038direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#641392
C22×C3×(C2×D3)⋊C42
C2×C3×#9242
C2×#639772
C2×#639522
#105950382
C2×#639102
C2×#639072
C2×#638612
C2×#638542
C2×#56443
C2×#54943