Finite Group Databasebeta

← C2×D3×#888 #11900723

Subgroups — C2×D3×#888 #11900723

Order 1152.

3393 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×Dic6C212yesmaximal
2C2×#64097C211yesmaximal, characteristic, complemented
3C2×C3×D3×C4⋊C4C211yesmaximal, characteristic
4C2×C3×#888C211yesmaximal, characteristic, complemented
5C2×#63919C211yesmaximal, characteristic, complemented
6C2×#63918C211yesmaximal, characteristic, complemented
7C2×D3×C4⋊Dic3C211yesmaximal, characteristic
8C2×D3×Dic3⋊C4C212yesmaximal
9C2×C4×D3×Dic3C211yesmaximal, characteristic
10C2×#63840C212yesmaximal, complemented
11C2×#63839C212yesmaximal, complemented
12D3×#888C2116yesmaximal, direct product factor
13C2×D3×C4⋊Q8—31nomaximal
14C22×#888—31nomaximal
15C22×#634C2212yes—
16C22×C3×C4×D3C2212yes—
17C22×C3×C4×D3C2211yescharacteristic
18C22×C3×Dic6C2212yes—
19C22×#627C2212yes—
20C22×#627C2212yes—
21C22×D3×Dic3C2212yes—
22C22×D3×Dic3C2211yescharacteristic
23C22×D3×Dic3C2211yescharacteristic
24C2×D3×Dic6—216no—
25C2×D3×Dic6C22116yes—
26C2×C32×C4⋊C4C2211yescharacteristic
27C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
28C2×#3750C2212yes—
29C2×C4×C3⋊Dic3C2211yescharacteristic
30#64097C2218yescomplemented
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×C4⋊Dic3C2211yescharacteristic
33C2×C3×Dic3⋊C4C2212yes—
34C2×C3×Dic3⋊C4C2212yes—
35C2×C3×C4×Dic3C2211yescharacteristic
36C3×D3×C4⋊C4C2218yes—
37C3×#888C2218yescomplemented
38C2×#3724C2212yes—
39C2×Dic3⋊Dic3C2212yes—
40C2×Dic3⋊Dic3C2212yes—
41C2×Dic32C2211yescharacteristic
42C2×Dic32C2211yescharacteristic
43#63919C2218yescomplemented
44#63918C2218yescomplemented
45D3×C4⋊Dic3C2218yes—
46D3×Dic3⋊C4C22116yes—
47C4×D3×Dic3C2218yes—
48#63840C22116yescomplemented
49#63839C22116yescomplemented
50C22×D3×Q8—32no—
51C23×Dic6—32no—
52C2×C3×C4⋊Q8—31no—
53C22×C3×C4⋊C4—31no—
54C2×#944—32no—
55C22×C4⋊Dic3—31no—
56C22×Dic3⋊C4—32no—
57C22×C4×Dic3—31no—
58D3×C4⋊Q8—316no—
59C2×D3×C4⋊C4—32no—
60C2×D3×C4⋊C4—31no—
61C2×D3×C4⋊C4D311yescharacteristic
62C2×#888—32no—
63C2×#888—31no—
64C2×#888—31no—
65C2×#888—31no—
66C2×#888—31no—
67C2×#888—32no—
68C2×#888—32no—
69C2×#888—31no—
70C2×#888—316no—
71C2×#888—61no—
72C2×#888D311yescharacteristic, direct product factor
73C2×C42×D3—31no—
74C2×#869—31no—
75C23×C3×D3C2311yescharacteristic
76C22×C32×C4C2312yes—
77C22×C32×C4C2311yescharacteristic
78C22×C3⋊Dic3C2312yes—
79C22×C3⋊Dic3C2311yescharacteristic
80C22×C3⋊Dic3C2311yescharacteristic
81C2×#634—28no—
82C2×#634C2318yes—
83C22×C3×Dic3C2312yes—
84C22×C3×Dic3C2312yes—
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2311yescharacteristic
87C22×C3×Dic3C2311yescharacteristic
88C2×C3×C4×D3—28no—
89C2×C3×C4×D3Q818yescomplemented
90C2×C3×C4×D3C2318yes—
91C2×C3×C4×D3C2314yes—
92C2×C3×Dic6—28no—
93C2×C3×Dic6C2318yes—
94C2×#627—28no—
95C2×#627—28no—
96C2×#627C2318yes—
97C2×#627C2318yes—
98C2×D3×Dic3—28no—
99C2×D3×Dic3D418yes—
100C2×D3×Dic3Q818yescomplemented
101C2×D3×Dic3C2318yes—
102C2×D3×Dic3C2314yes—
103C2×D3×Dic3C2314yes—
104D3×Dic6—264no—
105C32×C4⋊C4C2314yes—
106C4⋊(C3⋊Dic3)C2314yes—
107#3750C2318yes—
108C4×C3⋊Dic3C2314yes—
109C3×C4⋊Dic3C2314yes—
110C3×C4⋊Dic3C2314yes—
111C3×Dic3⋊C4C2318yes—
112C3×Dic3⋊C4C2318yes—
113C3×C4×Dic3C2314yes—
114#3724C2318yes—
115Dic3⋊Dic3C2318yes—
116Dic3⋊Dic3C2318yes—
117Dic32C2314yes—
118Dic32C2314yes—
119C22×C4⋊Q8—91noSylow
120C22×C3×Q8—32no—
121C23×C3×C4—31no—
122C23×C3×C4—32no—
123C23×Dic3—31no—
124C23×Dic3—31no—
125C23×Dic3—32no—
126C2×D3×Q8—316no—
127C2×D3×Q8—616no—
128C22×C4×D3—31no—
129C22×C4×D3—31no—
130C22×C4×D3—32no—
131C22×C4×D3C2×D312yes—
132C22×C4×D3C2×D311yescharacteristic
133C22×Dic6—32no—
134C22×Dic6—32no—
135C22×Dic6—32no—
136C22×Dic6—32no—
137C22×Dic6—32no—
138C22×Dic6—32no—
139C22×Dic6—316no—
140C22×Dic6—62no—
141C22×Dic6—616no—
142C22×Dic6C2×D312yes—
143C3×C4⋊Q8—38no—
144C2×C3×C4⋊C4—21no—
145C2×C3×C4⋊C4—32no—
146C2×C3×C4⋊C4—32no—
147C2×C3×C4⋊C4—31no—
148C2×C3×C4⋊C4—31no—
149C2×C3×C4⋊C4—38no—
150C2×C3×C4⋊C4C2×D311yescharacteristic
151C2×C3×C4⋊C4C2×D311yescharacteristic
152C2×C3×C42—31no—
153#944—316no—
154C2×C4⋊Dic3—31no—
155C2×C4⋊Dic3—31no—
156C2×C4⋊Dic3—32no—
157C2×C4⋊Dic3—32no—
158C2×C4⋊Dic3—38no—
159C2×C4⋊Dic3—61no—
160C2×C4⋊Dic3C2×D311yescharacteristic
161C2×C4⋊Dic3C2×D311yescharacteristic
162C2×Dic3⋊C4—32no—
163C2×Dic3⋊C4—32no—
164C2×Dic3⋊C4—32no—
165C2×Dic3⋊C4—32no—
166C2×Dic3⋊C4—32no—
167C2×Dic3⋊C4—32no—
168C2×Dic3⋊C4—316no—
169C2×Dic3⋊C4—62no—
170C2×Dic3⋊C4C2×D312yes—
171C2×Dic3⋊C4C2×D312yes—
172C2×C4×Dic3—31no—
173C2×C4×Dic3—31no—
174C2×C4×Dic3—31no—
175C2×C4×Dic3—31no—
176C2×C4×Dic3—31no—
177C2×C4×Dic3—31no—
178C2×C4×Dic3—38no—
179C2×C4×Dic3—61no—
180C2×C4×Dic3C2×D311yescharacteristic
181D3×C4⋊C4—316no—
182D3×C4⋊C4—38no—
183D3×C4⋊C4C2×D318yes—
184#888—316no—
185#888—38no—
186#888—38no—
187#888—38no—
188#888—38no—
189#888—316no—
190#888—316no—
191#888—38no—
192#888—68no—
193#888C2×D318yesdirect product factor
194C42×D3—38no—
195#869—38no—
196C23×C32C2411yescharacteristic
197C22×C3×D3C2×D414yes—
198C22×C3×D3C2×Q814yes—
199C22×C3×D3C2×Q814yes—
200C22×C3×D3C2412yes—
201C2×C32×C4—24no—
202C2×C32×C4C2×Q814yescomplemented
203C2×C32×C4C2414yes—
204C2×C32×C4C2412yes—
205C2×C3⋊Dic3—24no—
206C2×C3⋊Dic3C2×D414yes—
207C2×C3⋊Dic3C2×Q814yescomplemented
208C2×C3⋊Dic3C2414yes—
209C2×C3⋊Dic3C2412yes—
210C2×C3⋊Dic3C2412yes—
211#634—216no—
212C2×C3×Dic3—24no—
213C2×C3×Dic3—24no—
214C2×C3×Dic3C2×D414yes—
215C2×C3×Dic3C2×Q814yescomplemented
216C2×C3×Dic3C2×Q814yescomplemented
217C2×C3×Dic3C2414yes—
218C2×C3×Dic3C2414yes—
219C2×C3×Dic3C2412yes—
220C2×C3×Dic3C2412yes—
221C2×C3×Dic3C2412yes—
222C3×C4×D3—216no—
223C3×C4×D3C2×Q8116yescomplemented
224C3×Dic6—216no—
225#627—216no—
226#627—216no—
227D3×Dic3—216no—
228D3×Dic3C2×D4116yes—
229D3×Dic3C2×Q8116yescomplemented
230C23×Q8—92no—
231C2×C4⋊Q8—31no—
232C2×C4⋊Q8—91no—
233C2×C4⋊Q8—92no—
234C2×C4⋊Q8—91no—
235C2×C4⋊Q8—916no—
236C2×C4⋊Q8—92no—
237C2×C4⋊Q8—91no—
238C22×C4⋊C4—31no—
239C22×C4⋊C4—92no—
240C22×C4⋊C4—91no—
241C22×C42—91no—
242C24×C3—31no—
243C23×D3C22×D311yescharacteristic
244C2×C3×Q8—38no—
245C2×C3×Q8—68no—
246C22×C3×C4—21no—
247C22×C3×C4—22no—
248C22×C3×C4—31no—
249C22×C3×C4—31no—
250C22×C3×C4—31no—
251C22×C3×C4—38no—
252C22×C3×C4—34no—
253C22×C3×C4—32no—
254C22×C3×C4—32no—
255C22×C3×C4—38no—
256C22×C3×C4—68no—
257C22×C3×C4C22×D312yes—
258C22×C3×C4C22×D312yes—
259C22×C3×C4C22×D311yescharacteristic
260C22×C3×C4C22×D311yescharacteristic
261C22×Dic3—31no—
262C22×Dic3—31no—
263C22×Dic3—31no—
264C22×Dic3—31no—
265C22×Dic3—38no—
266C22×Dic3—38no—
267C22×Dic3—34no—
268C22×Dic3—34no—
269C22×Dic3—32no—
270C22×Dic3—32no—
271C22×Dic3—38no—
272C22×Dic3—61no—
273C22×Dic3—61no—
274C22×Dic3—62no—
275C22×Dic3—68no—
276C22×Dic3C22×D312yes—
277C22×Dic3C22×D312yes—
278C22×Dic3C22×D311yescharacteristic
279C22×Dic3C22×D311yescharacteristic
280C22×Dic3C22×D311yescharacteristic
281D3×Q8—664no—
282C2×C4×D3—28no—
283C2×C4×D3—38no—
284C2×C4×D3—38no—
285C2×C4×D3—34no—
286C2×C4×D3—34no—
287C2×C4×D3—38no—
288C2×C4×D3—68no—
289C2×C4×D3Dic618yescomplemented
290C2×C4×D3C22×D318yes—
291C2×C4×D3C22×D314yes—
292C2×Dic6—28no—
293C2×Dic6—38no—
294C2×Dic6—38no—
295C2×Dic6—38no—
296C2×Dic6—38no—
297C2×Dic6—38no—
298C2×Dic6—38no—
299C2×Dic6—68no—
300C2×Dic6—664no—
301C2×Dic6—68no—
302C2×Dic6—68no—
303C2×Dic6—68no—
304C2×Dic6—68no—
305C2×Dic6—68no—
306C2×Dic6—68no—
307C2×Dic6—128no—
308C2×Dic6C22×D318yes—
309C3×C4⋊C4—24no—
310C3×C4⋊C4—38no—
311C3×C4⋊C4—34no—
312C3×C4⋊C4—38no—
313C3×C4⋊C4—34no—
314C3×C4⋊C4C22×D314yes—
315C3×C4⋊C4C22×D314yes—
316C3×C42—34no—
317C4⋊Dic3—34no—
318C4⋊Dic3—34no—
319C4⋊Dic3—38no—
320C4⋊Dic3—38no—
321C4⋊Dic3—64no—
322C4⋊Dic3C22×D314yes—
323C4⋊Dic3C22×D314yes—
324Dic3⋊C4—38no—
325Dic3⋊C4—38no—
326Dic3⋊C4—38no—
327Dic3⋊C4—38no—
328Dic3⋊C4—38no—
329Dic3⋊C4—38no—
330Dic3⋊C4—68no—
331Dic3⋊C4C22×D318yes—
332Dic3⋊C4C22×D318yes—
333C4×Dic3—34no—
334C4×Dic3—34no—
335C4×Dic3—34no—
336C4×Dic3—34no—
337C4×Dic3—34no—
338C4×Dic3—34no—
339C4×Dic3—64no—
340C4×Dic3C22×D314yes—
341C22×C32C22×D412yes—
342C22×C32C22×Q812yes—
343C22×C32C22×Q812yes—
344C22×C32C2511yescharacteristic
345C2×C3×D3C4⋊Q8116yescomplemented
346C2×C3×D3C22×D414yes—
347C2×C3×D3C22×Q814yes—
348C2×C3×D3C22×Q814yes—
349C32×C4—24no—
350C32×C4C22×Q814yescomplemented
351C3⋊Dic3—24no—
352C3⋊Dic3C22×D414yes—
353C3⋊Dic3C22×Q814yescomplemented
354C3×Dic3—24no—
355C3×Dic3—24no—
356C3×Dic3C22×D414yes—
357C3×Dic3C22×Q814yescomplemented
358C3×Dic3C22×Q814yescomplemented
359C22×Q8—32no—
360C22×Q8—92no—
361C22×Q8—92no—
362C22×Q8—916no—
363C22×Q8—92no—
364C22×Q8—1816no—
365C23×C4—31no—
366C23×C4—32no—
367C23×C4—91no—
368C23×C4—91no—
369C23×C4—92no—
370C4⋊Q8—38no—
371C4⋊Q8—98no—
372C4⋊Q8—916no—
373C4⋊Q8—98no—
374C4⋊Q8—916no—
375C4⋊Q8—98no—
376C2×C4⋊C4—32no—
377C2×C4⋊C4—31no—
378C2×C4⋊C4—32no—
379C2×C4⋊C4—31no—
380C2×C4⋊C4—38no—
381C2×C4⋊C4—916no—
382C2×C4⋊C4—98no—
383C2×C4⋊C4—92no—
384C2×C4⋊C4—92no—
385C2×C4⋊C4—92no—
386C2×C4⋊C4—92no—
387C2×C4⋊C4—91no—
388C2×C4⋊C4D3211yescharacteristic
389C2×C42—31no—
390C2×C42—98no—
391C2×C42—91no—
392C2×C42—91no—
393C2×C42—91no—
394C23×C3—21no—
395C23×C3—34no—
396C23×C3—34no—
397C23×C3—34no—
398C23×C3—32no—
399C23×C3C23×D311yescharacteristic
400C23×C3C23×D311yescharacteristic
401C22×D3C2×Dic614yes—
402C22×D3D3×D414yes—
403C22×D3D3×Q814yes—
404C22×D3C23×D312yes—
405C3×Q8—616no—
406C2×C3×C4—24no—
407C2×C3×C4—24no—
408C2×C3×C4—22no—
409C2×C3×C4—24no—
410C2×C3×C4—24no—
411C2×C3×C4—34no—
412C2×C3×C4—34no—
413C2×C3×C4—34no—
414C2×C3×C4—32no—
415C2×C3×C4—32no—
416C2×C3×C4—32no—
417C2×C3×C4—316no—
418C2×C3×C4—34no—
419C2×C3×C4—34no—
420C2×C3×C4—44no—
421C2×C3×C4—616no—
422C2×C3×C4—64no—
423C2×C3×C4—64no—
424C2×C3×C4C2×Dic614yescomplemented
425C2×C3×C4D3×Q814yescomplemented
426C2×C3×C4C23×D314yes—
427C2×C3×C4C23×D314yes—
428C2×C3×C4C23×D312yes—
429C2×C3×C4C23×D312yes—
430C2×Dic3—24no—
431C2×Dic3—24no—
432C2×Dic3—34no—
433C2×Dic3—34no—
434C2×Dic3—34no—
435C2×Dic3—34no—
436C2×Dic3—32no—
437C2×Dic3—32no—
438C2×Dic3—32no—
439C2×Dic3—32no—
440C2×Dic3—316no—
441C2×Dic3—316no—
442C2×Dic3—34no—
443C2×Dic3—34no—
444C2×Dic3—64no—
445C2×Dic3—64no—
446C2×Dic3—62no—
447C2×Dic3—62no—
448C2×Dic3—64no—
449C2×Dic3—616no—
450C2×Dic3—64no—
451C2×Dic3—64no—
452C2×Dic3—124no—
453C2×Dic3C2×Dic614yescomplemented
454C2×Dic3D3×D414yes—
455C2×Dic3D3×Q814yescomplemented
456C2×Dic3C23×D314yes—
457C2×Dic3C23×D314yes—
458C2×Dic3C23×D312yes—
459C2×Dic3C23×D312yes—
460C2×Dic3C23×D312yes—
461C4×D3—216no—
462C4×D3—316no—
463C4×D3—316no—
464C4×D3—616no—
465C4×D3C2×Dic6116yescomplemented
466Dic6—216no—
467Dic6—616no—
468Dic6—616no—
469Dic6—616no—
470Dic6—616no—
471Dic6—616no—
472Dic6—616no—
473Dic6—1216no—
474C2×C32C2×C4⋊Q814yescomplemented
475C2×C32C23×D411yescharacteristic
476C2×C32C23×Q811yescharacteristic
477C2×C32C23×Q811yescharacteristic
478C3×D3C2×C4⋊Q818yescomplemented
479C24—31no—
480C2×Q8—38no—
481C2×Q8—68no—
482C2×Q8—98no—
483C2×Q8—98no—
484C2×Q8—98no—
485C2×Q8—188no—
486C2×Q8—188no—
487C2×Q8—188no—
488C2×Q8—1864no—
489C22×C4—31no—
490C22×C4—31no—
491C22×C4—31no—
492C22×C4—34no—
493C22×C4—38no—
494C22×C4—32no—
495C22×C4—32no—
496C22×C4—38no—
497C22×C4—68no—
498C22×C4—94no—
499C22×C4—94no—
500C22×C4—98no—
501C22×C4—98no—
502C22×C4—98no—
503C22×C4—91no—
504C22×C4—91no—
505C22×C4—92no—
506C22×C4—188no—
507C22×C4C2×D3212yes—
508C22×C4C2×D3211yescharacteristic
509C4⋊C4—38no—
510C4⋊C4—34no—
511C4⋊C4—38no—
512C4⋊C4—34no—
513C4⋊C4—98no—
514C4⋊C4—98no—
515C4⋊C4—98no—
516C4⋊C4—98no—
517C4⋊C4—94no—
518C4⋊C4C2×D3214yes—
519C42—34no—
520C42—94no—
521C42—94no—
522C42—94no—
523C22×C3—22no—
524C22×C3—22no—
525C22×C3—22no—
526C22×C3—21no—
527C22×C3—34no—
528C22×C3—34no—
529C22×C3—34no—
530C22×C3—316no—
531C22×C3C22×Dic612yes—
532C22×C3C2×D3×D412yes—
533C22×C3C2×D3×D412yes—
534C22×C3C2×D3×Q812yes—
535C22×C3C2×D3×Q812yes—
536C22×C3C2×D3×Q812yes—
537C22×C3C24×D311yescharacteristic
538C22×C3C24×D311yescharacteristic
539C2×D3#888116yesdirect product factor
540C2×D3C22×Dic614yes—
541C2×D3C2×D3×D414yes—
542C2×D3C2×D3×Q814yes—
543C3×C4—24no—
544C3×C4—24no—
545C3×C4—24no—
546C3×C4—34no—
547C3×C4—34no—
548C3×C4—34no—
549C3×C4—44no—
550C3×C4—64no—
551C3×C4—64no—
552C3×C4C22×Dic614yescomplemented
553C3×C4C2×D3×Q814yescomplemented
554Dic3—24no—
555Dic3—24no—
556Dic3—34no—
557Dic3—34no—
558Dic3—34no—
559Dic3—34no—
560Dic3—64no—
561Dic3—64no—
562Dic3—64no—
563Dic3—64no—
564Dic3—124no—
565Dic3C22×Dic614yescomplemented
566Dic3C2×D3×D414yes—
567Dic3C2×D3×Q814yescomplemented
568C32C22×C4⋊Q811yescharacteristic, complemented, Sylow
569C23—34no—
570C23—34no—
571C23—34no—
572C23—32no—
573C23C22×D3211yescharacteristic
574Q8—616no—
575Q8—1816no—
576Q8—1816no—
577Q8—1816no—
578C2×C4—24no—
579C2×C4—34no—
580C2×C4—34no—
581C2×C4—34no—
582C2×C4—32no—
583C2×C4—32no—
584C2×C4—32no—
585C2×C4—316no—
586C2×C4—34no—
587C2×C4—34no—
588C2×C4—616no—
589C2×C4—64no—
590C2×C4—64no—
591C2×C4—916no—
592C2×C4—916no—
593C2×C4—94no—
594C2×C4—94no—
595C2×C4—92no—
596C2×C4—92no—
597C2×C4—94no—
598C2×C4—1816no—
599C2×C4—184no—
600C2×C4D3×Dic614yescomplemented
601C2×C4C22×D3214yes—
602C2×C4C22×D3212yes—
603C2×C3—21no—
604C2×C3—24no—
605C2×C3—21no—
606C2×C3—21no—
607C2×C3—38no—
608C2×C3C2×#88814yescomplemented
609C2×C3D3×C4⋊Q814yescomplemented
610C2×C3C23×Dic611yescharacteristic
611C2×C3C22×D3×D411yescharacteristic
612C2×C3C22×D3×D411yescharacteristic
613C2×C3C22×D3×Q811yescharacteristic
614C2×C3C22×D3×Q811yescharacteristic
615C2×C3C22×D3×Q811yescharacteristic
616D3C2×#88818yesdirect product factor
617C22—34no—
618C22—316no—
619C22—34no—
620C22—34no—
621C22C2×D3×Dic612yes—
622C22D32×D412yes—
623C22D32×Q812yes—
624C22C23×D3211yescharacteristic
625C4—24no—
626C4—34no—
627C4—34no—
628C4—34no—
629C4—64no—
630C4—64no—
631C4—94no—
632C4—94no—
633C4—184no—
634C4C2×D3×Dic614yescomplemented
635C3—21no—
636C3C22×#88811yescharacteristic, complemented
637C3C2×D3×C4⋊Q811yescharacteristic, complemented
638C2—38no—
639C2D3×#88814yesdirect product factor
640C2C22×D3×Dic611yescharacteristic
641C2C2×D32×D411yescharacteristic
642C2C2×D32×Q811yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C4⋊C4C22
socleC23×C32C24
prime radicalC23×C3×D3C23
hypercenterC2×C4⋊C4D32
hypocenterC32C22×C4⋊Q8
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#64097C2semidirect
4. C2×C3×#888C2semidirect
5. C2×#63919C2semidirect
6. C2×#63918C2semidirect
10. C2×#63840C2semidirect
11. C2×#63839C2semidirect
12. D3×#888C2direct (N × H)
30. #64097C22semidirect
37. C3×#888C22semidirect
43. #63919C22semidirect
44. #63918C22semidirect
48. #63840C22semidirect
49. #63839C22semidirect
72. C2×#888D3direct (N × H)
89. C2×C3×C4×D3Q8semidirect
100. C2×D3×Dic3Q8semidirect
193. #888C2×D3direct (N × H)
202. C2×C32×C4C2×Q8semidirect
207. C2×C3⋊Dic3C2×Q8semidirect
215. C2×C3×Dic3C2×Q8semidirect
216. C2×C3×Dic3C2×Q8semidirect
223. C3×C4×D3C2×Q8semidirect
229. D3×Dic3C2×Q8semidirect
289. C2×C4×D3Dic6semidirect
345. C2×C3×D3C4⋊Q8semidirect
350. C32×C4C22×Q8semidirect
353. C3⋊Dic3C22×Q8semidirect
357. C3×Dic3C22×Q8semidirect
358. C3×Dic3C22×Q8semidirect
424. C2×C3×C4C2×Dic6semidirect
425. C2×C3×C4D3×Q8semidirect
453. C2×Dic3C2×Dic6semidirect
455. C2×Dic3D3×Q8semidirect
465. C4×D3C2×Dic6semidirect
474. C2×C32C2×C4⋊Q8semidirect
478. C3×D3C2×C4⋊Q8semidirect
539. C2×D3#888direct (N × H)
552. C3×C4C22×Dic6semidirect
553. C3×C4C2×D3×Q8semidirect
565. Dic3C22×Dic6semidirect
567. Dic3C2×D3×Q8semidirect
568. C32C22×C4⋊Q8semidirect
600. C2×C4D3×Dic6semidirect
608. C2×C3C2×#888semidirect
609. C2×C3D3×C4⋊Q8semidirect
616. D3C2×#888direct (N × H)
634. C4C2×D3×Dic6semidirect
636. C3C22×#888semidirect
637. C3C2×D3×C4⋊Q8semidirect
639. C2D3×#888direct (N × H)

Maximal subgroups

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

subgroupindex
C22×D3×Dic62
C2×#640972
C2×C3×D3×C4⋊C42
C2×C3×#8882
C2×#639192
C2×#639182
C2×D3×C4⋊Dic32
C2×D3×Dic3⋊C42
C2×C4×D3×Dic32
C2×#638402
C2×#638392
D3×#8882
C2×D3×C4⋊Q83
C22×#8883