Finite Group Databasebeta

← C2×#10595400 #11902668

Subgroups — C2×#10595400 #11902668

Order 1152.

3281 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×D3×Q8C211yesmaximal, characteristic, complemented
2C22×D3×Dic6C211yesmaximal, characteristic, complemented
3C2×#64153C211yesmaximal, characteristic, complemented
4C2×C3×#946C211yesmaximal, characteristic, complemented
5#10595400C2116yesmaximal, direct product factor
6C2×C4×#625C211yesmaximal, characteristic
7C2×#63887C212yesmaximal, complemented
8C2×#63879C212yesmaximal
9C2×#63857C211yesmaximal, characteristic, complemented
10C2×#63851C212yesmaximal, complemented
11C2×#63843C211yesmaximal, characteristic, complemented
12C2×#63839C212yesmaximal, complemented
13C2×Q8×#67—31nomaximal
14C2×#5632—31nomaximal
15C22×C32×Q8C2211yescharacteristic
16C22×#634C2211yescharacteristic
17C2×C3×D3×Q8—28no—
18C2×C3×D3×Q8C2218yescomplemented
19C22×C3×C4×D3C2212yes—
20C22×C3×C4×D3C2211yescharacteristic
21C22×C3×C4×D3C2211yescharacteristic
22C22×C3×Dic6C2212yes—
23C22×C3×Dic6C2211yescharacteristic
24C22×#627C2212yes—
25C22×#625C2211yescharacteristic
26C22×D3×Dic3C2212yes—
27C2×D3×Dic6—28no—
28C2×D3×Dic6C2218yescomplemented
29#64153C2218yescomplemented
30C2×#3750C2212yes—
31C2×#3750C2212yes—
32C2×C4×C3⋊Dic3C2211yescharacteristic
33C3×#946C2218yescomplemented
34C2×C3×(C2×D3)⋊C4C2212yes—
35C2×C3×C4⋊Dic3C2211yescharacteristic
36C2×C3×Dic3⋊C4C2212yes—
37C2×#3724C2211yescharacteristic
38C2×Dic3⋊Dic3C2212yes—
39C2×Dic3⋊Dic3C2212yes—
40C2×(C2×D3)⋊Dic3C2211yescharacteristic
41C2×(C2×D3)⋊Dic3C2212yes—
42C2×(C2×D3)⋊Dic3C2211yescharacteristic
43C2×Dic32C2212yes—
44C4×#625C2218yes—
45#63887C22116yescomplemented
46#63879C22116yes—
47#63857C2218yescomplemented
48#63851C22116yescomplemented
49#63843C2218yescomplemented
50#63839C22116yescomplemented
51C23×C3×Q8—31no—
52C22×D3×Q8—31no—
53C22×D3×Q8D311yescharacteristic, complemented
54C23×Dic6—31no—
55C2×C3×C22⋊Q8—31no—
56Q8×#67—316no—
57C2×#946—32no—
58C2×#946D311yescharacteristic, complemented
59C2×Q8×Dic3—31no—
60C2×#944—31no—
61C2×#944—31no—
62C2×#944—32no—
63C2×#944—61no—
64C2×C4×#67—31no—
65C2×C4×#67—31no—
66C2×C4×#67—32no—
67C2×#924—31no—
68C2×#924—32no—
69#5632—316no—
70C2×#897—31no—
71C2×#896—32no—
72C2×#888—32no—
73C2×#887—31no—
74C2×#67⋊C4—32no—
75C2×#878—32no—
76C23×C3×D3C2311yescharacteristic
77C23×C3×D3C2311yescharacteristic
78C2×C32×Q8—24no—
79C2×C32×Q8C2314yes—
80C22×C32×C4C2312yes—
81C22×C32×C4C2311yescharacteristic
82C22×C3⋊Dic3C2312yes—
83C22×C3⋊Dic3C2311yescharacteristic
84C22×C3⋊Dic3C2311yescharacteristic
85C2×#634—24no—
86C2×#634C2314yes—
87C22×C3×Dic3C2311yescharacteristic
88C22×C3×Dic3C2312yes—
89C22×C3×Dic3C2311yescharacteristic
90C22×C3×Dic3C2312yes—
91C3×D3×Q8—232no—
92C2×C3×C4×D3—24no—
93C2×C3×C4×D3—24no—
94C2×C3×C4×D3—28no—
95C2×C3×C4×D3C2314yes—
96C2×C3×C4×D3C2318yes—
97C2×C3×C4×D3C2314yes—
98C2×C3×Dic6—28no—
99C2×C3×Dic6D418yescomplemented
100C2×C3×Dic6C2318yes—
101C2×C3×Dic6C2314yes—
102C2×#627—28no—
103C2×#627C2318yes—
104C2×#625Q818yescomplemented
105C2×#625C2314yes—
106C2×D3×Dic3—28no—
107C2×D3×Dic3C2318yes—
108D3×Dic6—232no—
109#3750C2318yes—
110#3750C2318yes—
111C4×C3⋊Dic3C2314yes—
112C3×(C2×D3)⋊C4C2318yes—
113C3×C4⋊Dic3C2314yes—
114C3×Dic3⋊C4C2318yes—
115#3724C2314yes—
116Dic3⋊Dic3C2318yes—
117Dic3⋊Dic3C2318yes—
118(C2×D3)⋊Dic3C2314yes—
119(C2×D3)⋊Dic3C2318yes—
120(C2×D3)⋊Dic3C2314yes—
121Dic32C2318yes—
122C2×D4×Q8—91noSylow
123C22×C3×Q8—21no—
124C22×C3×Q8—38no—
125C22×C3×Q8—31no—
126C22×C3×Q8—32no—
127C22×C3×Q8—68no—
128C22×C3×Q8C2×D311yescharacteristic
129C22×C3×Q8C2×D311yescharacteristic
130C23×C3×C4—31no—
131C23×C3×C4—32no—
132C23×C3×C4—31no—
133C22×#67—31no—
134C22×#67—31no—
135C23×Dic3—32no—
136C2×D3×Q8—28no—
137C2×D3×Q8—38no—
138C2×D3×Q8—68no—
139C2×D3×Q8C2×D318yescomplemented
140C22×C4×D3—32no—
141C22×C4×D3C2×D311yescharacteristic
142C22×C4×D3C2×D312yes—
143C22×C4×D3C2×D311yescharacteristic
144C22×Dic6—31no—
145C22×Dic6—31no—
146C22×Dic6—32no—
147C22×Dic6—32no—
148C22×Dic6—38no—
149C22×Dic6—61no—
150C22×Dic6—68no—
151C22×Dic6C2×D312yes—
152C22×Dic6C2×D311yescharacteristic
153C3×C22⋊Q8—38no—
154C2×C3×C4⋊C4—32no—
155C2×C3×C4⋊C4—31no—
156C2×C3×C22⋊C4—32no—
157C2×#217—31no—
158C2×#217—31no—
159C2×#217—32no—
160#946—316no—
161#946C2×D318yescomplemented
162Q8×Dic3—38no—
163#944—38no—
164#944—38no—
165#944—316no—
166#944—68no—
167C4×#67—38no—
168C4×#67—38no—
169C4×#67—316no—
170C2×(C2×D3)⋊C4—32no—
171C2×(C2×D3)⋊C4—31no—
172C2×(C2×D3)⋊C4—31no—
173C2×(C2×D3)⋊C4C2×D312yes—
174C2×C4⋊Dic3—32no—
175C2×C4⋊Dic3—32no—
176C2×C4⋊Dic3C2×D311yescharacteristic
177#924—38no—
178#924—316no—
179C2×Dic3⋊C4—32no—
180C2×Dic3⋊C4—32no—
181C2×Dic3⋊C4—32no—
182C2×Dic3⋊C4—32no—
183C2×Dic3⋊C4—32no—
184C2×Dic3⋊C4—31no—
185C2×Dic3⋊C4—32no—
186C2×Dic3⋊C4—31no—
187C2×Dic3⋊C4—62no—
188C2×Dic3⋊C4—62no—
189C2×Dic3⋊C4C2×D312yes—
190C2×C4×Dic3—31no—
191C2×C4×Dic3—31no—
192C2×C4×Dic3—32no—
193C2×C4×Dic3—32no—
194C2×C4×Dic3—61no—
195#897—38no—
196#896—316no—
197#888—316no—
198#887—38no—
199#67⋊C4—316no—
200#878—316no—
201C23×C32C2411yescharacteristic
202C22×C3×D3—22no—
203C22×C3×D3—22no—
204C22×C3×D3—22no—
205C22×C3×D3—22no—
206C22×C3×D3C2×Q814yescomplemented
207C22×C3×D3C2×Q814yescomplemented
208C22×C3×D3C2412yes—
209C22×C3×D3C2412yes—
210C32×Q8—28no—
211C2×C32×C4—24no—
212C2×C32×C4C2×D414yes—
213C2×C32×C4C2414yes—
214C2×C32×C4C2412yes—
215C2×C3⋊Dic3—22no—
216C2×C3⋊Dic3—24no—
217C2×C3⋊Dic3C2×Q814yescomplemented
218C2×C3⋊Dic3C2412yes—
219C2×C3⋊Dic3C2414yes—
220C2×C3⋊Dic3C2412yes—
221#634—28no—
222C2×C3×Dic3—22no—
223C2×C3×Dic3—22no—
224C2×C3×Dic3—24no—
225C2×C3×Dic3C2×D418yes—
226C2×C3×Dic3C2414yes—
227C2×C3×Dic3C2412yes—
228C2×C3×Dic3C2412yes—
229C2×C3×Dic3C2414yes—
230C3×C4×D3—28no—
231C3×C4×D3—28no—
232C3×C4×D3—216no—
233C3×Dic6—216no—
234C3×Dic6C2×D4116yescomplemented
235#627—216no—
236#625C2×Q8116yescomplemented
237D3×Dic3—216no—
238C23×Q8—31no—
239C23×Q8—91no—
240D4×Q8—916no—
241C2×C4⋊Q8—92no—
242C2×C4⋊Q8—91no—
243C2×C22⋊Q8—31no—
244C2×C22⋊Q8—92no—
245C2×C22⋊Q8—92no—
246C2×C22⋊Q8—91no—
247C2×C4×Q8—91no—
248C2×C4×D4—92no—
249C2×C4×D4—91no—
250C24×C3—31no—
251C24×C3—31no—
252C23×D3C22×D311yescharacteristic
253C23×D3C22×D311yescharacteristic
254C2×C3×Q8—24no—
255C2×C3×Q8—24no—
256C2×C3×Q8—24no—
257C2×C3×Q8—38no—
258C2×C3×Q8—34no—
259C2×C3×Q8—38no—
260C2×C3×Q8—44no—
261C2×C3×Q8—68no—
262C2×C3×Q8—632no—
263C2×C3×Q8C22×D314yes—
264C2×C3×Q8C22×D314yes—
265C22×C3×C4—21no—
266C22×C3×C4—22no—
267C22×C3×C4—32no—
268C22×C3×C4—32no—
269C22×C3×C4—31no—
270C22×C3×C4—31no—
271C22×C3×C4—38no—
272C22×C3×C4—34no—
273C22×C3×C4—34no—
274C22×C3×C4—68no—
275C22×C3×C4—64no—
276C22×C3×C4—64no—
277C22×C3×C4C22×D312yes—
278C22×C3×C4C22×D312yes—
279C22×C3×C4C22×D311yescharacteristic
280C22×C3×C4C22×D311yescharacteristic
281C2×#67—38no—
282C2×#67—38no—
283C2×#67—34no—
284C2×#67—34no—
285C22×Dic3—31no—
286C22×Dic3—31no—
287C22×Dic3—31no—
288C22×Dic3—31no—
289C22×Dic3—32no—
290C22×Dic3—32no—
291C22×Dic3—38no—
292C22×Dic3—61no—
293C22×Dic3—61no—
294C22×Dic3—62no—
295C22×Dic3—68no—
296C22×Dic3C22×D312yes—
297C22×Dic3C22×D311yescharacteristic
298C22×Dic3C22×D311yescharacteristic
299C22×Dic3C22×D312yes—
300D3×Q8—232no—
301D3×Q8—632no—
302C2×C4×D3—24no—
303C2×C4×D3—24no—
304C2×C4×D3—28no—
305C2×C4×D3—38no—
306C2×C4×D3—68no—
307C2×C4×D3C22×D318yes—
308C2×C4×D3C22×D314yes—
309C2×C4×D3C22×D314yes—
310C2×Dic6—28no—
311C2×Dic6—34no—
312C2×Dic6—34no—
313C2×Dic6—38no—
314C2×Dic6—38no—
315C2×Dic6—64no—
316C2×Dic6—68no—
317C2×Dic6—64no—
318C2×Dic6—64no—
319C2×Dic6—68no—
320C2×Dic6—632no—
321C2×Dic6—124no—
322C2×Dic6#6718yescomplemented
323C2×Dic6C22×D318yes—
324C2×Dic6C22×D314yes—
325C3×C4⋊C4—34no—
326C3×C4⋊C4—38no—
327C3×C22⋊C4—38no—
328#217—34no—
329#217—34no—
330#217—38no—
331(C2×D3)⋊C4—38no—
332(C2×D3)⋊C4—34no—
333(C2×D3)⋊C4—34no—
334(C2×D3)⋊C4C22×D318yes—
335C4⋊Dic3—38no—
336C4⋊Dic3—38no—
337C4⋊Dic3C22×D314yes—
338Dic3⋊C4—38no—
339Dic3⋊C4—38no—
340Dic3⋊C4—38no—
341Dic3⋊C4—38no—
342Dic3⋊C4—38no—
343Dic3⋊C4—34no—
344Dic3⋊C4—38no—
345Dic3⋊C4—34no—
346Dic3⋊C4—68no—
347Dic3⋊C4—68no—
348Dic3⋊C4C22×D318yes—
349C4×Dic3—34no—
350C4×Dic3—34no—
351C4×Dic3—38no—
352C4×Dic3—38no—
353C4×Dic3—64no—
354C22×C32C22×D412yes—
355C22×C32C22×Q812yes—
356C22×C322−1+412yes—
357C22×C32C2511yescharacteristic
358C2×C3×D3—28no—
359C2×C3×D3—28no—
360C2×C3×D3—22no—
361C2×C3×D3—22no—
362C2×C3×D3—22no—
363C2×C3×D3—22no—
364C2×C3×D3C22×Q814yescomplemented
365C2×C3×D3C22×Q814yescomplemented
366C32×C4—24no—
367C32×C4C22×D414yes—
368C3⋊Dic3—22no—
369C3⋊Dic3—24no—
370C3⋊Dic3C22×Q814yescomplemented
371C3×Dic3—22no—
372C3×Dic3—22no—
373C3×Dic3—24no—
374C3×Dic3C22×D418yes—
375C22×Q8—38no—
376C22×Q8—31no—
377C22×Q8—32no—
378C22×Q8—68no—
379C22×Q8—92no—
380C22×Q8—98no—
381C22×Q8—91no—
382C22×Q8—188no—
383C22×Q8D3211yescharacteristic
384C22×D4—91no—
385C23×C4—31no—
386C23×C4—32no—
387C23×C4—31no—
388C23×C4—92no—
389C4⋊Q8—916no—
390C4⋊Q8—98no—
391C22⋊Q8—38no—
392C22⋊Q8—916no—
393C22⋊Q8—916no—
394C22⋊Q8—98no—
395C4×Q8—98no—
396C4×D4—916no—
397C4×D4—98no—
398C2×C4⋊C4—31no—
399C2×C4⋊C4—32no—
400C2×C4⋊C4—91no—
401C2×C4⋊C4—92no—
402C2×C4⋊C4—92no—
403C2×C4⋊C4—92no—
404C2×C4⋊C4—92no—
405C2×C22⋊C4—32no—
406C2×C22⋊C4—92no—
407C2×C22⋊C4—91no—
408C2×C22⋊C4—91no—
409C2×C42—92no—
410C2×C42—91no—
411C23×C3—21no—
412C23×C3—34no—
413C23×C3—34no—
414C23×C3—32no—
415C23×C3—32no—
416C23×C3—62no—
417C23×C3—62no—
418C23×C3—62no—
419C23×C3—62no—
420C23×C3C23×D311yescharacteristic
421C23×C3C23×D311yescharacteristic
422C22×D3—22no—
423C22×D3—22no—
424C22×D3—22no—
425C22×D3—22no—
426C22×D3D3×Q814yescomplemented
427C22×D3D3×Q814yescomplemented
428C22×D3C23×D312yes—
429C22×D3C23×D312yes—
430C3×Q8—28no—
431C3×Q8—28no—
432C3×Q8—316no—
433C3×Q8—48no—
434C3×Q8—616no—
435C2×C3×C4—24no—
436C2×C3×C4—24no—
437C2×C3×C4—22no—
438C2×C3×C4—24no—
439C2×C3×C4—24no—
440C2×C3×C4—38no—
441C2×C3×C4—34no—
442C2×C3×C4—34no—
443C2×C3×C4—32no—
444C2×C3×C4—32no—
445C2×C3×C4—44no—
446C2×C3×C4—616no—
447C2×C3×C4—62no—
448C2×C3×C4—64no—
449C2×C3×C4—62no—
450C2×C3×C4—68no—
451C2×C3×C4—68no—
452C2×C3×C4D3×D414yes—
453C2×C3×C4C2×#6714yes—
454C2×C3×C4C23×D314yes—
455C2×C3×C4C23×D314yes—
456C2×C3×C4C23×D312yes—
457C2×C3×C4C23×D312yes—
458#67—316no—
459#67—316no—
460C2×Dic3—22no—
461C2×Dic3—24no—
462C2×Dic3—22no—
463C2×Dic3—34no—
464C2×Dic3—34no—
465C2×Dic3—32no—
466C2×Dic3—32no—
467C2×Dic3—32no—
468C2×Dic3—32no—
469C2×Dic3—34no—
470C2×Dic3—34no—
471C2×Dic3—64no—
472C2×Dic3—62no—
473C2×Dic3—62no—
474C2×Dic3—64no—
475C2×Dic3—64no—
476C2×Dic3—64no—
477C2×Dic3—62no—
478C2×Dic3—62no—
479C2×Dic3—64no—
480C2×Dic3—616no—
481C2×Dic3—124no—
482C2×Dic3C2×#6718yes—
483C2×Dic3C23×D314yes—
484C2×Dic3C23×D312yes—
485C2×Dic3C23×D312yes—
486C2×Dic3C23×D314yes—
487C4×D3—28no—
488C4×D3—28no—
489C4×D3—216no—
490C4×D3—616no—
491Dic6—216no—
492Dic6—616no—
493Dic6—68no—
494Dic6—68no—
495Dic6—616no—
496Dic6—128no—
497Dic6C2×#67116yescomplemented
498C2×C32D4×Q814yescomplemented
499C2×C32C23×D411yescharacteristic
500C2×C32C23×Q811yescharacteristic
501C2×C32C2×2−1+411yescharacteristic
502C3×D3—24no—
503C3×D3—24no—
504C24—31no—
505C24—31no—
506C2×Q8—24no—
507C2×Q8—34no—
508C2×Q8—38no—
509C2×Q8—38no—
510C2×Q8—68no—
511C2×Q8—632no—
512C2×Q8—98no—
513C2×Q8—94no—
514C2×Q8—188no—
515C2×Q8—1832no—
516C2×Q8—184no—
517C2×Q8C2×D3214yes—
518C2×D4—94no—
519C2×D4—98no—
520C22×C4—32no—
521C22×C4—32no—
522C22×C4—31no—
523C22×C4—31no—
524C22×C4—34no—
525C22×C4—38no—
526C22×C4—34no—
527C22×C4—68no—
528C22×C4—64no—
529C22×C4—64no—
530C22×C4—98no—
531C22×C4—91no—
532C22×C4—91no—
533C22×C4—92no—
534C22×C4—188no—
535C22×C4C2×D3212yes—
536C22×C4C2×D3211yescharacteristic
537C4⋊C4—34no—
538C4⋊C4—38no—
539C4⋊C4—94no—
540C4⋊C4—98no—
541C4⋊C4—98no—
542C4⋊C4—98no—
543C4⋊C4—98no—
544C22⋊C4—38no—
545C22⋊C4—98no—
546C22⋊C4—94no—
547C22⋊C4—94no—
548C42—98no—
549C42—94no—
550C22×C3—22no—
551C22×C3—22no—
552C22×C3—22no—
553C22×C3—21no—
554C22×C3—34no—
555C22×C3—34no—
556C22×C3—68no—
557C22×C3—62no—
558C22×C3—62no—
559C22×C3—62no—
560C22×C3—62no—
561C22×C3—68no—
562C22×C3C2×D3×D412yes—
563C22×C3C2×D3×Q812yes—
564C22×C3C2×D3×Q812yes—
565C22×C3#100712yes—
566C22×C3#101012yes—
567C22×C3C22×#6712yes—
568C22×C3C24×D311yescharacteristic
569C22×C3C24×D311yescharacteristic
570C2×D3—28no—
571C2×D3—22no—
572C2×D3—22no—
573C2×D3—22no—
574C2×D3—22no—
575C2×D3—28no—
576C2×D3C2×D3×Q814yescomplemented
577C2×D3C2×D3×Q814yescomplemented
578C3×C4—24no—
579C3×C4—24no—
580C3×C4—24no—
581C3×C4—38no—
582C3×C4—44no—
583C3×C4—62no—
584C3×C4—64no—
585C3×C4—62no—
586C3×C4C2×D3×D414yes—
587C3×C4C22×#6714yes—
588Dic3—22no—
589Dic3—24no—
590Dic3—22no—
591Dic3—34no—
592Dic3—34no—
593Dic3—64no—
594Dic3—64no—
595Dic3—64no—
596Dic3—62no—
597Dic3—62no—
598Dic3—64no—
599Dic3—124no—
600Dic3C22×#6718yes—
601C32C2×D4×Q811yescharacteristic, complemented, Sylow
602C23—34no—
603C23—34no—
604C23—32no—
605C23—32no—
606C23—62no—
607C23—62no—
608C23—62no—
609C23—62no—
610C23C22×D3211yescharacteristic
611Q8—28no—
612Q8—316no—
613Q8—616no—
614Q8—1816no—
615Q8—188no—
616D4—916no—
617C2×C4—24no—
618C2×C4—38no—
619C2×C4—34no—
620C2×C4—34no—
621C2×C4—32no—
622C2×C4—32no—
623C2×C4—616no—
624C2×C4—64no—
625C2×C4—62no—
626C2×C4—62no—
627C2×C4—68no—
628C2×C4—68no—
629C2×C4—94no—
630C2×C4—92no—
631C2×C4—92no—
632C2×C4—94no—
633C2×C4—1816no—
634C2×C4—182no—
635C2×C4—184no—
636C2×C4D3×#6714yes—
637C2×C4C22×D3214yes—
638C2×C4C22×D3212yes—
639C2×C3—24no—
640C2×C3—21no—
641C2×C3—21no—
642C2×C3—21no—
643C2×C3—64no—
644C2×C3—64no—
645C2×C3#563214yescomplemented
646C2×C3Q8×#6714yescomplemented
647C2×C3C22×D3×D411yescharacteristic
648C2×C3C22×D3×Q811yescharacteristic
649C2×C3C22×D3×Q811yescharacteristic
650C2×C3C2×#100711yescharacteristic
651C2×C3C2×#101011yescharacteristic
652C2×C3C23×#6711yescharacteristic
653D3—24no—
654D3—24no—
655C22—34no—
656C22—34no—
657C22—68no—
658C22—68no—
659C22—62no—
660C22—62no—
661C22—62no—
662C22—62no—
663C22#6431512yes—
664C22D32×Q812yes—
665C22C2×D3×#6712yes—
666C22C23×D3211yescharacteristic
667C4—24no—
668C4—38no—
669C4—64no—
670C4—62no—
671C4—62no—
672C4—94no—
673C4—182no—
674C4—184no—
675C4C2×D3×#6714yes—
676C3—21no—
677C3C2×#563211yescharacteristic, complemented
678C3C2×Q8×#6711yescharacteristic, complemented
679C2—64no—
680C2—64no—
681C2#1059540014yesdirect product factor
682C2C2×#6431511yescharacteristic
683C2C2×D32×Q811yescharacteristic
684C2C22×D3×#6711yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC22×C32×Q8C22
socleC23×C32C24
prime radicalC22×#625C22
hypercenterC22×Q8D32
hypocenterC32C2×D4×Q8
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
1. C22×C3×D3×Q8C2semidirect
2. C22×D3×Dic6C2semidirect
3. C2×#64153C2semidirect
4. C2×C3×#946C2semidirect
5. #10595400C2direct (N × H)
7. C2×#63887C2semidirect
9. C2×#63857C2semidirect
10. C2×#63851C2semidirect
11. C2×#63843C2semidirect
12. C2×#63839C2semidirect
18. C2×C3×D3×Q8C22semidirect
28. C2×D3×Dic6C22semidirect
29. #64153C22semidirect
33. C3×#946C22semidirect
45. #63887C22semidirect
47. #63857C22semidirect
48. #63851C22semidirect
49. #63843C22semidirect
50. #63839C22semidirect
53. C22×D3×Q8D3semidirect
58. C2×#946D3semidirect
99. C2×C3×Dic6D4semidirect
104. C2×#625Q8semidirect
139. C2×D3×Q8C2×D3semidirect
161. #946C2×D3semidirect
206. C22×C3×D3C2×Q8semidirect
207. C22×C3×D3C2×Q8semidirect
217. C2×C3⋊Dic3C2×Q8semidirect
234. C3×Dic6C2×D4semidirect
236. #625C2×Q8semidirect
322. C2×Dic6#67semidirect
364. C2×C3×D3C22×Q8semidirect
365. C2×C3×D3C22×Q8semidirect
370. C3⋊Dic3C22×Q8semidirect
426. C22×D3D3×Q8semidirect
427. C22×D3D3×Q8semidirect
497. Dic6C2×#67semidirect
498. C2×C32D4×Q8semidirect
576. C2×D3C2×D3×Q8semidirect
577. C2×D3C2×D3×Q8semidirect
601. C32C2×D4×Q8semidirect
645. C2×C3#5632semidirect
646. C2×C3Q8×#67semidirect
677. C3C2×#5632semidirect
678. C3C2×Q8×#67semidirect
681. C2#10595400direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×D3×Q82
C22×D3×Dic62
C2×#641532
C2×C3×#9462
#105954002
C2×C4×#6252
C2×#638872
C2×#638792
C2×#638572
C2×#638512
C2×#638432
C2×#638392
C2×Q8×#673
C2×#56323