Finite Group Databasebeta

← C2×#10595081 #11900290

Subgroups — C2×#10595081 #11900290

Order 1152.

5737 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C4×C3⋊D3C211yesmaximal, characteristic, complemented
2C22×#3811C212yesmaximal, complemented
3C22×#3802C211yesmaximal, characteristic, complemented
4C2×C3×#930C212yesmaximal, complemented
5C2×#63980C212yesmaximal, complemented
6#10595081C2116yesmaximal, direct product factor
7C2×#63921C212yesmaximal, complemented
8C2×#63916C212yesmaximal, complemented
9C2×#63912C212yesmaximal, complemented
10C2×#63900C211yesmaximal, characteristic, complemented
11C2×D3×#121—32nomaximal
12C24×C3⋊D3C2211yescharacteristic
13C23×D32C2212yes—
14C23×C32×C4C2211yescharacteristic, complemented
15C23×C3⋊Dic3C2211yescharacteristic, complemented
16C22×C4×C3⋊D3—28no—
17C22×C4×C3⋊D3C2211yescharacteristic
18C22×C4×C3⋊D3C2211yescharacteristic
19C22×C4×C3⋊D3C2218yescomplemented
20C22×C4×C3⋊D3C2211yescharacteristic, complemented
21C22×C4×C3⋊D3C2211yescharacteristic, complemented
22C22×C3×#67C2214yescomplemented
23C22×C3×D12C2212yescomplemented
24C2×#3811—216no—
25C2×#3811C22116yescomplemented
26C22×#626C2214yescomplemented
27C22×#625C2212yescomplemented
28C22×#624C2212yes—
29C2×#3802—28no—
30C2×#3802C2218yescomplemented
31C3×#930C22116yescomplemented
32C2×C3×(C2×D3)⋊C4C2214yescomplemented
33C2×C3×C4⋊Dic3C2212yescomplemented
34#63980C22116yescomplemented
35C2×#3724C2212yescomplemented
36C2×(C2×D3)⋊Dic3C2214yescomplemented
37#63921C22116yescomplemented
38#63916C22116yescomplemented
39#63912C22116yescomplemented
40#63900C2218yescomplemented
41C22×D3×D4—34no—
42C22×D3×D4—32no—
43C23×C4×D3—32no—
44C23×C4×D3—61no—
45C2×C3×#121—32no—
46C2×#939—34no—
47C2×#938—32no—
48C2×#930D312yescomplemented
49D3×#121—332no—
50C2×#895—32no—
51C2×D3×C4⋊C4—32no—
52C2×#884—34no—
53C2×D3×C22⋊C4—34no—
54C24×C32C2311yescharacteristic
55C23×C3⋊D3—24no—
56C23×C3⋊D3—24no—
57C23×C3⋊D3D418yescomplemented
58C23×C3⋊D3C2311yescharacteristic
59C23×C3⋊D3C2314yes—
60C23×C3⋊D3C2311yescharacteristic
61C23×C3×D3C2314yes—
62C22×D32—28no—
63C22×D32—28no—
64C22×D32—28no—
65C22×D32C2318yes—
66C22×C32×C4—24no—
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2311yescharacteristic
69C22×C32×C4C2314yescomplemented
70C22×C3⋊Dic3—24no—
71C22×C3⋊Dic3C2311yescharacteristic
72C22×C3⋊Dic3C2311yescharacteristic
73C22×C3⋊Dic3C2314yescomplemented
74C2×C4×C3⋊D3—24no—
75C2×C4×C3⋊D3—24no—
76C2×C4×C3⋊D3—24no—
77C2×C4×C3⋊D3—232no—
78C2×C4×C3⋊D3D418yescomplemented
79C2×C4×C3⋊D3C2314yes—
80C2×C4×C3⋊D3C2314yes—
81C2×C4×C3⋊D3C2314yescomplemented
82C2×C4×C3⋊D3C2314yescomplemented
83C2×C3×#67—216no—
84C2×C3×#67C23116yescomplemented
85C22×C3×Dic3C2314yes—
86C2×C3×D12—28no—
87C2×C3×D12C2318yescomplemented
88#3811—264no—
89C2×#626—216no—
90C2×#626C23116yescomplemented
91C2×#625—28no—
92C2×#625C2318yescomplemented
93C2×#624—28no—
94C2×#624C2318yes—
95#3802—232no—
96C3×(C2×D3)⋊C4C23116yescomplemented
97C3×C4⋊Dic3C2318yescomplemented
98#3724C2318yescomplemented
99(C2×D3)⋊Dic3C23116yescomplemented
100C22×#121—91noSylow
101C24×D3—32no—
102C24×D3—34no—
103C24×D3—61no—
104C22×C3×D4—34no—
105C22×C3×D4—32no—
106C23×C3×C4—21no—
107C23×C3×C4C2×D312yescomplemented
108C22×#67—34no—
109C22×#67—34no—
110C22×#67C2×D314yescomplemented
111C23×Dic3—32no—
112C23×Dic3—61no—
113C2×D3×D4—332no—
114C2×D3×D4—316no—
115C2×D3×D4—616no—
116C2×D3×D4—632no—
117C22×D12—34no—
118C22×D12C2×D312yescomplemented
119C22×C4×D3—32no—
120C22×C4×D3—32no—
121C22×C4×D3—32no—
122C22×C4×D3—32no—
123C22×C4×D3—316no—
124C22×C4×D3—34no—
125C22×C4×D3—61no—
126C22×C4×D3—61no—
127C22×C4×D3—61no—
128C22×C4×D3—61no—
129C22×C4×D3—68no—
130C22×C4×D3—616no—
131C22×C4×D3—616no—
132C3×#121—316no—
133C2×C3×C4⋊C4—32no—
134C2×C3×C22⋊C4—34no—
135C2×#217—34no—
136#939—332no—
137#938—316no—
138#930C2×D3116yescomplemented
139C2×(C2×D3)⋊C4—34no—
140C2×(C2×D3)⋊C4C2×D314yescomplemented
141C2×C4⋊Dic3C2×D312yescomplemented
142C2×Dic3⋊C4—34no—
143#895—316no—
144D3×C4⋊C4—316no—
145#884—332no—
146D3×C22⋊C4—332no—
147C23×C32—22no—
148C23×C32—22no—
149C23×C32C2×D414yescomplemented
150C23×C32C2412yes—
151C23×C32C2411yescharacteristic
152C22×C3⋊D3—22no—
153C22×C3⋊D3—22no—
154C22×C3⋊D3—232no—
155C22×C3⋊D3—28no—
156C22×C3⋊D3—28no—
157C22×C3⋊D3C2×D414yes—
158C22×C3⋊D3C2×D414yes—
159C22×C3⋊D3C2×D4116yescomplemented
160C22×C3⋊D3C2×D414yescomplemented
161C22×C3⋊D3#4114yes—
162C22×C3⋊D3C2412yes—
163C22×C3⋊D3C2412yes—
164C22×C3×D3—28no—
165C22×C3×D3—28no—
166C22×C3×D3—28no—
167C22×C3×D3C2418yes—
168C2×D32—216no—
169C2×D32—216no—
170C2×D32—216no—
171C2×D32—432no—
172C2×C32×C4—22no—
173C2×C32×C4—28no—
174C2×C32×C4C2×D414yescomplemented
175C2×C32×C4C2412yes—
176C2×C32×C4C2412yes—
177C2×C3⋊Dic3—22no—
178C2×C3⋊Dic3—28no—
179C2×C3⋊Dic3C2×D414yescomplemented
180C2×C3⋊Dic3C2412yes—
181C2×C3⋊Dic3C2412yes—
182C4×C3⋊D3—28no—
183C4×C3⋊D3—28no—
184C4×C3⋊D3—28no—
185C4×C3⋊D3C2×D4116yescomplemented
186C3×#67—232no—
187C2×C3×Dic3—28no—
188C2×C3×Dic3C2418yes—
189C3×D12—216no—
190#626—232no—
191#625—216no—
192#624—216no—
193C23×D4—92no—
194C23×D4—91no—
195C24×C4—91no—
196C2×#121—32no—
197C2×#121—92no—
198C2×#121—92no—
199C2×#121—916no—
200C2×#121—92no—
201C22×C4⋊C4—91no—
202C22×C22⋊C4—92no—
203C24×C3—21no—
204C24×C3—34no—
205C24×C3C22×D312yes—
206C23×D3—32no—
207C23×D3—316no—
208C23×D3—32no—
209C23×D3—38no—
210C23×D3—316no—
211C23×D3—68no—
212C23×D3—61no—
213C23×D3—64no—
214C23×D3—61no—
215C23×D3—616no—
216C23×D3—616no—
217C23×D3—616no—
218C23×D3—68no—
219C23×D3—68no—
220C23×D3—68no—
221C23×D3—68no—
222C23×D3C22×D314yes—
223C2×C3×D4—316no—
224C2×C3×D4—38no—
225C2×C3×D4—616no—
226C2×C3×D4—68no—
227C22×C3×C4—28no—
228C22×C3×C4—28no—
229C22×C3×C4—21no—
230C22×C3×C4—21no—
231C22×C3×C4—24no—
232C22×C3×C4—34no—
233C22×C3×C4C22×D312yes—
234C22×C3×C4C22×D312yes—
235C22×C3×C4C22×D318yescomplemented
236C2×#67—216no—
237C2×#67—316no—
238C2×#67—316no—
239C2×#67—616no—
240C2×#67—616no—
241C2×#67C22×D3116yescomplemented
242C22×Dic3—32no—
243C22×Dic3—32no—
244C22×Dic3—38no—
245C22×Dic3—61no—
246C22×Dic3—61no—
247C22×Dic3—64no—
248C22×Dic3—68no—
249C22×Dic3—68no—
250C22×Dic3C22×D314yes—
251D3×D4—664no—
252D3×D4—6128no—
253C2×D12—28no—
254C2×D12—316no—
255C2×D12—616no—
256C2×D12C22×D318yescomplemented
257C2×C4×D3—316no—
258C2×C4×D3—38no—
259C2×C4×D3—38no—
260C2×C4×D3—38no—
261C2×C4×D3—38no—
262C2×C4×D3—316no—
263C2×C4×D3—68no—
264C2×C4×D3—64no—
265C2×C4×D3—64no—
266C2×C4×D3—64no—
267C2×C4×D3—64no—
268C2×C4×D3—664no—
269C2×C4×D3—616no—
270C2×C4×D3—68no—
271C2×C4×D3—68no—
272C2×C4×D3—664no—
273C2×C4×D3—68no—
274C2×C4×D3—68no—
275C2×C4×D3—68no—
276C2×C4×D3—68no—
277C3×C4⋊C4—38no—
278C3×C22⋊C4—316no—
279#217—316no—
280(C2×D3)⋊C4—316no—
281(C2×D3)⋊C4C22×D3116yescomplemented
282C4⋊Dic3C22×D318yescomplemented
283Dic3⋊C4—316no—
284C22×C32—28no—
285C22×C32—22no—
286C22×C32—22no—
287C22×C32C22×D412yes—
288C22×C32C22×D412yes—
289C22×C32C22×D414yescomplemented
290C22×C32C2×#4112yes—
291C22×C32C2511yescharacteristic
292C2×C3⋊D3—28no—
293C2×C3⋊D3—22no—
294C2×C3⋊D3—22no—
295C2×C3⋊D3—232no—
296C2×C3⋊D3#121116yescomplemented
297C2×C3⋊D3C22×D414yes—
298C2×C3⋊D3C22×D414yes—
299C2×C3⋊D3C22×D414yescomplemented
300C2×C3⋊D3C2×#4114yes—
301C2×C3×D3—28no—
302C2×C3×D3—28no—
303C2×C3×D3—28no—
304C2×C3×D3—416no—
305D32—432no—
306C32×C4—22no—
307C32×C4C22×D414yescomplemented
308C3⋊Dic3—22no—
309C3⋊Dic3C22×D414yescomplemented
310C3×Dic3—28no—
311C25—92no—
312C25—91no—
313C22×D4—34no—
314C22×D4—32no—
315C22×D4—94no—
316C22×D4—916no—
317C22×D4—98no—
318C22×D4—92no—
319C22×D4—188no—
320C22×D4—1816no—
321C23×C4—92no—
322C23×C4—91no—
323C23×C4—91no—
324C23×C4—91no—
325C23×C4—91no—
326C23×C4—91no—
327C23×C4—98no—
328C23×C4—188no—
329C23×C4D3211yescharacteristic, complemented
330#121—316no—
331#121—916no—
332#121—916no—
333#121—916no—
334C2×C4⋊C4—32no—
335C2×C4⋊C4—98no—
336C2×C4⋊C4—92no—
337C2×C22⋊C4—34no—
338C2×C22⋊C4—916no—
339C2×C22⋊C4—94no—
340C23×C3—24no—
341C23×C3—24no—
342C23×C3—24no—
343C23×C3—24no—
344C23×C3—22no—
345C23×C3—21no—
346C23×C3—24no—
347C23×C3—38no—
348C23×C3—68no—
349C23×C3—68no—
350C23×C3—68no—
351C23×C3D3×D418yescomplemented
352C23×C3C23×D314yes—
353C23×C3C23×D312yes—
354C22×D3—28no—
355C22×D3—28no—
356C22×D3—28no—
357C22×D3—38no—
358C22×D3—38no—
359C22×D3—38no—
360C22×D3—34no—
361C22×D3—38no—
362C22×D3—332no—
363C22×D3—34no—
364C22×D3—64no—
365C22×D3—64no—
366C22×D3—64no—
367C22×D3—616no—
368C22×D3—64no—
369C22×D3—62no—
370C22×D3—62no—
371C22×D3—632no—
372C22×D3—632no—
373C22×D3—632no—
374C22×D3—616no—
375C22×D3—616no—
376C22×D3—664no—
377C22×D3—616no—
378C22×D3—64no—
379C22×D3—664no—
380C22×D3—616no—
381C22×D3—64no—
382C22×D3—64no—
383C22×D3—64no—
384C22×D3—1264no—
385C22×D3C23×D318yes—
386C3×D4—632no—
387C3×D4—616no—
388C2×C3×C4—24no—
389C2×C3×C4—216no—
390C2×C3×C4—24no—
391C2×C3×C4—216no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—24no—
395C2×C3×C4—38no—
396C2×C3×C4—68no—
397C2×C3×C4D3×D418yescomplemented
398C2×C3×C4C23×D314yes—
399C2×C3×C4C23×D314yes—
400#67—232no—
401#67—632no—
402#67—632no—
403C2×Dic3—28no—
404C2×Dic3—38no—
405C2×Dic3—34no—
406C2×Dic3—34no—
407C2×Dic3—64no—
408C2×Dic3—62no—
409C2×Dic3—62no—
410C2×Dic3—616no—
411C2×Dic3—616no—
412C2×Dic3—64no—
413C2×Dic3—64no—
414C2×Dic3C23×D318yes—
415D12—216no—
416D12—632no—
417C4×D3—332no—
418C4×D3—616no—
419C4×D3—632no—
420C4×D3—616no—
421C4×D3—616no—
422C4×D3—616no—
423C4×D3—616no—
424C4×D3—616no—
425C4×D3—616no—
426C2×C32—24no—
427C2×C32C2×#12114yescomplemented
428C2×C32C23×D411yescharacteristic
429C2×C32C23×D411yescharacteristic
430C2×C32C22×#4111yescharacteristic
431C3⋊D3—24no—
432C3⋊D3C2×#12118yescomplemented
433C3×D3—48no—
434C24—34no—
435C24—98no—
436C24—91no—
437C24—94no—
438C24—91no—
439C24—98no—
440C24—184no—
441C24—184no—
442C24—188no—
443C24—188no—
444C24—188no—
445C24C2×D3211yescharacteristic
446C2×D4—316no—
447C2×D4—38no—
448C2×D4—616no—
449C2×D4—68no—
450C2×D4—916no—
451C2×D4—98no—
452C2×D4—1816no—
453C2×D4—1832no—
454C2×D4—188no—
455C2×D4—1864no—
456C22×C4—24no—
457C22×C4—34no—
458C22×C4—98no—
459C22×C4—91no—
460C22×C4—94no—
461C22×C4—98no—
462C22×C4—94no—
463C22×C4—91no—
464C22×C4—94no—
465C22×C4—94no—
466C22×C4—94no—
467C22×C4—184no—
468C22×C4—1832no—
469C22×C4—184no—
470C22×C4—188no—
471C22×C4—184no—
472C22×C4—184no—
473C22×C4C2×D3211yescharacteristic
474C22×C4C2×D3211yescharacteristic
475C22×C4C2×D3214yescomplemented
476C4⋊C4—38no—
477C4⋊C4—98no—
478C22⋊C4—316no—
479C22⋊C4—916no—
480C22×C3—24no—
481C22×C3—216no—
482C22×C3—24no—
483C22×C3—24no—
484C22×C3—24no—
485C22×C3—216no—
486C22×C3—22no—
487C22×C3—24no—
488C22×C3—22no—
489C22×C3—22no—
490C22×C3—21no—
491C22×C3—68no—
492C22×C3—68no—
493C22×C3—68no—
494C22×C3—1216no—
495C22×C3C2×D3×D414yes—
496C22×C3C2×D3×D414yes—
497C22×C3C2×D3×D418yescomplemented
498C22×C3D3×#4114yes—
499C22×C3C24×D312yes—
500C2×D3—28no—
501C2×D3—28no—
502C2×D3—28no—
503C2×D3—38no—
504C2×D3—38no—
505C2×D3—38no—
506C2×D3—332no—
507C2×D3—38no—
508C2×D3—416no—
509C2×D3—64no—
510C2×D3—616no—
511C2×D3—64no—
512C2×D3—64no—
513C2×D3—64no—
514C2×D3—664no—
515C2×D3—64no—
516C2×D3—664no—
517C2×D3—616no—
518C2×D3—64no—
519C2×D3—64no—
520C2×D3—64no—
521C2×D3—616no—
522C2×D3—1264no—
523C3×C4—24no—
524C3×C4—24no—
525C3×C4—24no—
526C3×C4—68no—
527C3×C4C2×D3×D418yescomplemented
528Dic3—28no—
529Dic3—38no—
530Dic3—64no—
531Dic3—64no—
532Dic3—64no—
533C32C22×#12111yescharacteristic, complemented, Sylow
534C23—22no—
535C23—22no—
536C23—38no—
537C23—68no—
538C23—68no—
539C23—68no—
540C23—94no—
541C23—94no—
542C23—94no—
543C23—92no—
544C23—94no—
545C23—916no—
546C23—92no—
547C23—188no—
548C23—1832no—
549C23—188no—
550C23—1816no—
551C23—1816no—
552C23—1816no—
553C23—182no—
554C23—182no—
555C23—3632no—
556C23#380214yescomplemented
557C23C22×D3212yes—
558C23C22×D3211yescharacteristic
559D4—632no—
560D4—616no—
561D4—1832no—
562D4—1816no—
563C2×C4—22no—
564C2×C4—28no—
565C2×C4—38no—
566C2×C4—68no—
567C2×C4—94no—
568C2×C4—92no—
569C2×C4—916no—
570C2×C4—92no—
571C2×C4—188no—
572C2×C4—188no—
573C2×C4—1816no—
574C2×C4—188no—
575C2×C4—182no—
576C2×C4—188no—
577C2×C4#381114yescomplemented
578C2×C4C22×D3212yes—
579C2×C4C22×D3212yes—
580C2×C3—28no—
581C2×C3—28no—
582C2×C3—24no—
583C2×C3—21no—
584C2×C3—21no—
585C2×C3—21no—
586C2×C3—128no—
587C2×C3D3×#12118yescomplemented
588C2×C3C22×D3×D412yes—
589C2×C3C22×D3×D412yes—
590C2×C3C2×D3×#4112yes—
591D3—316no—
592D3—48no—
593D3—68no—
594D3—68no—
595D3—68no—
596C22—28no—
597C22—22no—
598C22—22no—
599C22—68no—
600C22—68no—
601C22—68no—
602C22—916no—
603C22—94no—
604C22—94no—
605C22—94no—
606C22—94no—
607C22—1216no—
608C22—1832no—
609C22—188no—
610C22—182no—
611C22—182no—
612C22—3632no—
613C22C2×#380212yes—
614C22C2×#380214yescomplemented
615C22#6430612yes—
616C22C2×#381112yes—
617C22C23×D3211yescharacteristic
618C4—22no—
619C4—68no—
620C4—94no—
621C4—182no—
622C4C2×#381114yescomplemented
623C3—21no—
624C3C2×D3×#12112yescomplemented
625C2—24no—
626C2—98no—
627C2—128no—
628C2—184no—
629C2#1059508114yesdirect product factor
630C2C22×#380211yescharacteristic
631C2C2×#6430611yescharacteristic
632C2C22×#381111yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC23×C32×C4C22
socleC23×C32C24
hypercenterC23×C4D32
hypocenterC32C22×#121
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C23×C4×C3⋊D3C2semidirect
2. C22×#3811C2semidirect
3. C22×#3802C2semidirect
4. C2×C3×#930C2semidirect
5. C2×#63980C2semidirect
6. #10595081C2direct (N × H)
7. C2×#63921C2semidirect
8. C2×#63916C2semidirect
9. C2×#63912C2semidirect
10. C2×#63900C2semidirect
14. C23×C32×C4C22semidirect
15. C23×C3⋊Dic3C22semidirect
19. C22×C4×C3⋊D3C22semidirect
20. C22×C4×C3⋊D3C22semidirect
21. C22×C4×C3⋊D3C22semidirect
22. C22×C3×#67C22semidirect
23. C22×C3×D12C22semidirect
25. C2×#3811C22semidirect
26. C22×#626C22semidirect
27. C22×#625C22semidirect
30. C2×#3802C22semidirect
31. C3×#930C22semidirect
32. C2×C3×(C2×D3)⋊C4C22semidirect
33. C2×C3×C4⋊Dic3C22semidirect
34. #63980C22semidirect
35. C2×#3724C22semidirect
36. C2×(C2×D3)⋊Dic3C22semidirect
37. #63921C22semidirect
38. #63916C22semidirect
39. #63912C22semidirect
40. #63900C22semidirect
48. C2×#930D3semidirect
57. C23×C3⋊D3D4semidirect
69. C22×C32×C4C23semidirect
73. C22×C3⋊Dic3C23semidirect
78. C2×C4×C3⋊D3D4semidirect
81. C2×C4×C3⋊D3C23semidirect
82. C2×C4×C3⋊D3C23semidirect
84. C2×C3×#67C23semidirect
87. C2×C3×D12C23semidirect
90. C2×#626C23semidirect
92. C2×#625C23semidirect
96. C3×(C2×D3)⋊C4C23semidirect
97. C3×C4⋊Dic3C23semidirect
98. #3724C23semidirect
99. (C2×D3)⋊Dic3C23semidirect
107. C23×C3×C4C2×D3semidirect
110. C22×#67C2×D3semidirect
118. C22×D12C2×D3semidirect
138. #930C2×D3semidirect
140. C2×(C2×D3)⋊C4C2×D3semidirect
141. C2×C4⋊Dic3C2×D3semidirect
149. C23×C32C2×D4semidirect
159. C22×C3⋊D3C2×D4semidirect
160. C22×C3⋊D3C2×D4semidirect
174. C2×C32×C4C2×D4semidirect
179. C2×C3⋊Dic3C2×D4semidirect
185. C4×C3⋊D3C2×D4semidirect
235. C22×C3×C4C22×D3semidirect
241. C2×#67C22×D3semidirect
256. C2×D12C22×D3semidirect
281. (C2×D3)⋊C4C22×D3semidirect
282. C4⋊Dic3C22×D3semidirect
289. C22×C32C22×D4semidirect
296. C2×C3⋊D3#121semidirect
299. C2×C3⋊D3C22×D4semidirect
307. C32×C4C22×D4semidirect
309. C3⋊Dic3C22×D4semidirect
329. C23×C4D32semidirect
351. C23×C3D3×D4semidirect
397. C2×C3×C4D3×D4semidirect
427. C2×C32C2×#121semidirect
432. C3⋊D3C2×#121semidirect
475. C22×C4C2×D32semidirect
497. C22×C3C2×D3×D4semidirect
527. C3×C4C2×D3×D4semidirect
533. C32C22×#121semidirect
556. C23#3802semidirect
577. C2×C4#3811semidirect
587. C2×C3D3×#121semidirect
614. C22C2×#3802semidirect
622. C4C2×#3811semidirect
624. C3C2×D3×#121semidirect
629. C2#10595081direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C4×C3⋊D32
C22×#38112
C22×#38022
C2×C3×#9302
C2×#639802
#105950812
C2×#639212
C2×#639162
C2×#639122
C2×#639002
C2×D3×#1213