Finite Group Databasebeta

← #10826952

Subgroups — #10826952

Order 768.

1908 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×C22⋊Q8C211yesmaximal, characteristic
2C22×#897C211yesmaximal, characteristic
3C2×#5050C211yesmaximal, characteristic, complemented
4C2×#4809C212yesmaximal, complemented
5C2×#4739C211yesmaximal, characteristic, complemented
6C3×#1872C211yesmaximal, characteristic, complemented
7#71559C211yesmaximal, characteristic, complemented
8#70273C212yesmaximal, complemented
9#69955C211yesmaximal, characteristic
10#68888C212yesmaximal, complemented
11#68878C212yesmaximal, complemented
12#23921—31nomaximal, Sylow
13C22×D3×Q8C2211yescharacteristic
14C23×C4×D3C2211yescharacteristic
15C23×Dic6C2211yescharacteristic
16C2×C3×C22⋊Q8C2211yescharacteristic
17C22×C3×C4⋊C4C2211yescharacteristic
18C2×#946C2211yescharacteristic
19C22×#216C2212yescomplemented
20C22×(C2×D3)⋊C4—21no—
21C22×C4⋊Dic3—21no—
22C2×#924C2211yescharacteristic
23C22×Dic12C2212yescomplemented
24D3×C22⋊Q8—24no—
25D3×C22⋊Q8—24no—
26C2×#897—21no—
27C2×#897—21no—
28C2×#897—28no—
29C2×#897C2211yescharacteristic
30C2×#897C2212yes—
31C2×#897C2212yes—
32C2×#896—21no—
33C2×D3×C4⋊C4—21no—
34C2×D3×C4⋊C4C2211yescharacteristic
35C2×D3×C22⋊C4—21no—
36C2×#878—21no—
37C2×C3×#103C2212yescomplemented
38C2×C3×C22⋊C8C2211yescharacteristic
39C2×#830C2211yescharacteristic
40C2×(C2×D3)⋊C8C2212yes—
41C2×(C2×D3)⋊C8C2212yes—
42C2×#816C2212yescomplemented
43#5050—24no—
44C2×#810C2212yescomplemented
45C2×#810C2212yescomplemented
46#4809—28no—
47#4739—24no—
48C3×#340C2212yescomplemented
49#4529C2212yescomplemented
50C22×C22⋊Q8—31no—
51C22×C22⋊Q8—31no—
52C2×#451—32no—
53C2×#451—31no—
54C2×#451—31no—
55#2001—32no—
56#2001—32no—
57#1872—32no—
58#1872—31no—
59#1872D311yescharacteristic, complemented
60#1779—31no—
61C24×D3D411yescharacteristic
62C22×C3×Q8C2311yescharacteristic
63C23×C3×C4—21no—
64C23×C3×C4C2311yescharacteristic
65C23×Dic3—21no—
66C23×Dic3D411yescharacteristic
67C2×D3×Q8—22no—
68C2×D3×Q8—22no—
69C2×D3×Q8—24no—
70C2×D3×Q8—42no—
71C22×C4×D3—21no—
72C22×C4×D3—21no—
73C22×C4×D3—22no—
74C22×C4×D3—22no—
75C22×C4×D3—24no—
76C22×C4×D3—42no—
77C22×C4×D3D411yescharacteristic
78C22×C4×D3D411yescharacteristic
79C22×C4×D3C2311yescharacteristic
80C22×C4×D3C2311yescharacteristic
81C22×Dic6—21no—
82C22×Dic6—21no—
83C22×Dic6—24no—
84C22×Dic6—22no—
85C22×Dic6—22no—
86C22×Dic6—42no—
87C22×Dic6C2312yes—
88C22×Dic6C2311yescharacteristic
89C22×C3×C8C2312yes—
90C3×C22⋊Q8—22no—
91C3×C22⋊Q8D414yes—
92C2×C3×C4⋊C4—21no—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4—24no—
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2312yes—
97C2×C3×C22⋊C4—21no—
98C2×#217—21no—
99#946—22no—
100#946—22no—
101C2×#216—24no—
102C2×#216—24no—
103C2×#216—42no—
104C2×(C2×D3)⋊C4—28no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—22no—
108C2×(C2×D3)⋊C4—22no—
109C2×C4⋊Dic3—28no—
110C2×C4⋊Dic3—21no—
111C2×C4⋊Dic3—22no—
112C2×C4⋊Dic3—22no—
113C2×C4⋊Dic3C2311yescharacteristic
114#924—22no—
115#924D414yes—
116C2×Dic3⋊C4—21no—
117C2×Dic3⋊C4—21no—
118C2×Dic3⋊C4—21no—
119C22×C3⋊C8C2312yes—
120C2×Dic12—24no—
121C2×Dic12—24no—
122C2×Dic12—42no—
123#897—28no—
124#897—28no—
125#897—24no—
126#897—24no—
127#897—22no—
128#897—24no—
129#897—22no—
130#897D418yes—
131#896—28no—
132D3×C4⋊C4—28no—
133D3×C4⋊C4—22no—
134D3×C4⋊C4—22no—
135D3×C22⋊C4—28no—
136#878—28no—
137C3×#103—24no—
138C3×C22⋊C8—22no—
139#830—22no—
140(C2×D3)⋊C8—24no—
141(C2×D3)⋊C8—42no—
142#816—24no—
143#810—24no—
144#810—24no—
145C23×Q8—31no—
146C23×Q8—31no—
147C24×C4—31no—
148C22×Q16—32no—
149C22×Q16—32no—
150C2×C22⋊Q8—31no—
151C2×C22⋊Q8—31no—
152C2×C22⋊Q8—32no—
153C2×C22⋊Q8—31no—
154C2×C22⋊Q8—32no—
155C2×C22⋊Q8—61no—
156C2×C22⋊Q8—68no—
157C2×C22⋊Q8—61no—
158C2×C22⋊Q8—61no—
159C2×C22⋊Q8—61no—
160C2×C22⋊Q8—64no—
161C2×C22⋊Q8—64no—
162C2×C22⋊Q8C2×D311yescharacteristic
163C22×C4⋊C4—31no—
164C22×C4⋊C4—61no—
165C22×C4⋊C4—61no—
166C22×C4⋊C4C2×D311yescharacteristic
167C22×C22⋊C4—61no—
168C22×C22⋊C4—61no—
169#451—64no—
170#451—68no—
171#451—64no—
172C2×#103—32no—
173C2×#103—32no—
174C2×#103—32no—
175C2×#103C2×D312yescomplemented
176C2×C22⋊C8—31no—
177C2×C22⋊C8—32no—
178C2×C22⋊C8—32no—
179C2×C22⋊C8C2×D311yescharacteristic
180#340—32no—
181#340C2×D312yescomplemented
182C24×C3C2×D411yescharacteristic
183C23×D3—22no—
184C23×D3—22no—
185C23×D3—22no—
186C23×D3—22no—
187C23×D3—41no—
188C23×D3—41no—
189C23×D3Q1614yescomplemented
190C23×D3C2×D411yescharacteristic
191C23×D3C2×D411yescharacteristic
192C2×C3×Q8—21no—
193C2×C3×Q8—22no—
194C2×C3×Q8—22no—
195C2×C3×Q8C2×D412yes—
196C22×C3×C4—22no—
197C22×C3×C4—22no—
198C22×C3×C4—24no—
199C22×C3×C4—21no—
200C22×C3×C4—21no—
201C22×C3×C4—22no—
202C22×C3×C4—42no—
203C22×C3×C4—42no—
204C22×C3×C4C2×D412yes—
205C22×C3×C4C2×D411yescharacteristic
206C22×C3×C4C2×D412yes—
207C22×C3×C4C2411yescharacteristic
208C22×Dic3—24no—
209C22×Dic3—22no—
210C22×Dic3—21no—
211C22×Dic3—21no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3—41no—
215C22×Dic3—42no—
216C22×Dic3—42no—
217C22×Dic3C2×D411yescharacteristic
218C22×Dic3C2×D411yescharacteristic
219D3×Q8—48no—
220D3×Q8—48no—
221C2×C4×D3—21no—
222C2×C4×D3—21no—
223C2×C4×D3—22no—
224C2×C4×D3—24no—
225C2×C4×D3—24no—
226C2×C4×D3—22no—
227C2×C4×D3—22no—
228C2×C4×D3—22no—
229C2×C4×D3—22no—
230C2×C4×D3—21no—
231C2×C4×D3—21no—
232C2×C4×D3—22no—
233C2×C4×D3—22no—
234C2×C4×D3—48no—
235C2×C4×D3—48no—
236C2×C4×D3—41no—
237C2×C4×D3—41no—
238C2×C4×D3—42no—
239C2×C4×D3—42no—
240C2×C4×D3—42no—
241C2×C4×D3—42no—
242C2×C4×D3C2×D414yes—
243C2×Dic6—22no—
244C2×Dic6—22no—
245C2×Dic6—22no—
246C2×Dic6—22no—
247C2×Dic6—22no—
248C2×Dic6—22no—
249C2×Dic6—24no—
250C2×Dic6—24no—
251C2×Dic6—22no—
252C2×Dic6—21no—
253C2×Dic6—48no—
254C2×Dic6—48no—
255C2×Dic6—42no—
256C2×Dic6—42no—
257C2×Dic6—42no—
258C2×Dic6—42no—
259C2×Dic6C2×D414yes—
260C2×Dic6C2×D412yes—
261C2×C3×C8—22no—
262C2×C3×C8—22no—
263C2×C3×C8—22no—
264C3×C4⋊C4—24no—
265C3×C4⋊C4—24no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—22no—
268C3×C4⋊C4C2×D412yes—
269C3×C4⋊C4C2×D414yes—
270C3×C22⋊C4—24no—
271#217—24no—
272#216—48no—
273(C2×D3)⋊C4—24no—
274(C2×D3)⋊C4—24no—
275(C2×D3)⋊C4—28no—
276(C2×D3)⋊C4—28no—
277C4⋊Dic3—24no—
278C4⋊Dic3—28no—
279C4⋊Dic3—21no—
280C4⋊Dic3—28no—
281C4⋊Dic3C2×D412yes—
282Dic3⋊C4—24no—
283Dic3⋊C4—24no—
284Dic3⋊C4—24no—
285C2×C3⋊C8—22no—
286C2×C3⋊C8—22no—
287C2×C3⋊C8—22no—
288Dic12—48no—
289C25—31no—
290C22×Q8—31no—
291C22×Q8—32no—
292C22×Q8—61no—
293C22×Q8—64no—
294C22×Q8—64no—
295C22×Q8—62no—
296C22×Q8—62no—
297C22×Q8—61no—
298C22×Q8—62no—
299C22×Q8—62no—
300C22×Q8—122no—
301C22×Q8—122no—
302C22×Q8C22×D311yescharacteristic
303C23×C4—21no—
304C23×C4—31no—
305C23×C4—31no—
306C23×C4—31no—
307C23×C4—31no—
308C23×C4—31no—
309C23×C4—64no—
310C23×C4—61no—
311C23×C4—61no—
312C23×C4—61no—
313C23×C4—62no—
314C23×C4—62no—
315C23×C4—122no—
316C23×C4C22×D311yescharacteristic
317C2×Q16—64no—
318C2×Q16—64no—
319C2×Q16—64no—
320C2×Q16—64no—
321C2×Q16—122no—
322C2×Q16—122no—
323C22×C8—32no—
324C22×C8C22×D312yes—
325C22⋊Q8—22no—
326C22⋊Q8—34no—
327C22⋊Q8—38no—
328C22⋊Q8—68no—
329C22⋊Q8—64no—
330C22⋊Q8—64no—
331C22⋊Q8—62no—
332C22⋊Q8—68no—
333C22⋊Q8—68no—
334C22⋊Q8—68no—
335C22⋊Q8—62no—
336C22⋊Q8—62no—
337C22⋊Q8—62no—
338C22⋊Q8—62no—
339C22⋊Q8—64no—
340C22⋊Q8D1214yes—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—24no—
344C2×C4⋊C4—31no—
345C2×C4⋊C4—62no—
346C2×C4⋊C4—68no—
347C2×C4⋊C4—61no—
348C2×C4⋊C4—61no—
349C2×C4⋊C4—62no—
350C2×C4⋊C4—61no—
351C2×C4⋊C4—62no—
352C2×C4⋊C4—68no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—62no—
355C2×C4⋊C4C22×D311yescharacteristic
356C2×C4⋊C4C22×D312yes—
357C2×C22⋊C4—21no—
358C2×C22⋊C4—68no—
359C2×C22⋊C4—62no—
360C2×C22⋊C4—61no—
361C2×C22⋊C4—61no—
362C2×C22⋊C4—62no—
363C2×C22⋊C4—68no—
364C2×C22⋊C4—61no—
365#103—24no—
366#103—64no—
367#103—64no—
368#103—64no—
369C22⋊C8—22no—
370C22⋊C8—64no—
371C22⋊C8—62no—
372C22⋊C8—122no—
373C23×C3—21no—
374C23×C3—21no—
375C23×C3—21no—
376C23×C3—21no—
377C23×C3#12012yes—
378C23×C3C2×Q1612yes—
379C23×C3#13712yes—
380C23×C3C22×D411yescharacteristic
381C22×D3—21no—
382C22×D3—21no—
383C22×D3—21no—
384C22×D3—21no—
385C22×D3—21no—
386C22×D3—21no—
387C22×D3—21no—
388C22×D3—21no—
389C22×D3—21no—
390C22×D3—21no—
391C22×D3—28no—
392C22×D3—28no—
393C22×D3—44no—
394C22×D3—44no—
395C22×D3—44no—
396C22×D3—44no—
397C22×D3—44no—
398C22×D3#12012yes—
399C22×D3C2×Q1612yes—
400C22×D3C2×Q1612yes—
401C22×D3#13712yes—
402C3×Q8—24no—
403C3×Q8—42no—
404C2×C3×C4—21no—
405C2×C3×C4—21no—
406C2×C3×C4—24no—
407C2×C3×C4—24no—
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—24no—
411C2×C3×C4—48no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4—42no—
416C2×C3×C4—41no—
417C2×C3×C4—42no—
418C2×C3×C4#12012yes—
419C2×C3×C4C22×D411yescharacteristic
420C2×C3×C4C22×D412yes—
421C2×C3×C4C22×D411yescharacteristic
422C2×C3×C4H(5,𝔽2)12yes—
423C2×Dic3—21no—
424C2×Dic3—21no—
425C2×Dic3—22no—
426C2×Dic3—21no—
427C2×Dic3—22no—
428C2×Dic3—21no—
429C2×Dic3—24no—
430C2×Dic3—21no—
431C2×Dic3—44no—
432C2×Dic3—48no—
433C2×Dic3—41no—
434C2×Dic3—42no—
435C2×Dic3—41no—
436C2×Dic3—42no—
437C2×Dic3—41no—
438C2×Dic3—41no—
439C2×Dic3#12012yes—
440C4×D3—24no—
441C4×D3—24no—
442C4×D3—44no—
443C4×D3—44no—
444C4×D3—48no—
445C4×D3—48no—
446C4×D3—42no—
447C4×D3—42no—
448Dic6—24no—
449Dic6—24no—
450Dic6—24no—
451Dic6—48no—
452Dic6—48no—
453Dic6—42no—
454Dic6—42no—
455Dic6—42no—
456C3×C8—42no—
457C3⋊C8—42no—
458C24—31no—
459C24—31no—
460C24—34no—
461C24—62no—
462C24—62no—
463C24—62no—
464C24—62no—
465C24—121no—
466C24—121no—
467C24D3×D411yescharacteristic
468C2×Q8—21no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—32no—
472C2×Q8—34no—
473C2×Q8—64no—
474C2×Q8—64no—
475C2×Q8—61no—
476C2×Q8—62no—
477C2×Q8—62no—
478C2×Q8—62no—
479C2×Q8—62no—
480C2×Q8—62no—
481C2×Q8—62no—
482C2×Q8—62no—
483C2×Q8—128no—
484C2×Q8—128no—
485C2×Q8—122no—
486C2×Q8—122no—
487C2×Q8—122no—
488C2×Q8—128no—
489C2×Q8—128no—
490C2×Q8—122no—
491C2×Q8C2×D1212yes—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—22no—
498C22×C4—31no—
499C22×C4—34no—
500C22×C4—31no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—62no—
504C22×C4—62no—
505C22×C4—64no—
506C22×C4—64no—
507C22×C4—62no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4—62no—
511C22×C4—64no—
512C22×C4—62no—
513C22×C4—61no—
514C22×C4—61no—
515C22×C4—62no—
516C22×C4—62no—
517C22×C4—62no—
518C22×C4—61no—
519C22×C4—61no—
520C22×C4—62no—
521C22×C4—62no—
522C22×C4—121no—
523C22×C4—121no—
524C22×C4—128no—
525C22×C4—128no—
526C22×C4—122no—
527C22×C4—122no—
528C22×C4—122no—
529C22×C4—122no—
530C22×C4—121no—
531C22×C4—122no—
532C22×C4—122no—
533C22×C4C2×D1212yes—
534C22×C4D3×D411yescharacteristic
535C22×C4D3×D412yes—
536C22×C4C23×D311yescharacteristic
537Q16—128no—
538Q16—128no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—62no—
543C2×C8—62no—
544C2×C8—62no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—22no—
548C4⋊C4—21no—
549C4⋊C4—32no—
550C4⋊C4—68no—
551C4⋊C4—64no—
552C4⋊C4—64no—
553C4⋊C4—64no—
554C4⋊C4—68no—
555C4⋊C4—64no—
556C4⋊C4—61no—
557C4⋊C4C2×D1212yes—
558C4⋊C4D3×D414yes—
559C22⋊C4—24no—
560C22⋊C4—68no—
561C22⋊C4—64no—
562C22⋊C4—64no—
563C22⋊C4—68no—
564C22⋊C4—64no—
565C22×C3—22no—
566C22×C3—22no—
567C22×C3—22no—
568C22×C3—22no—
569C22×C3—22no—
570C22×C3—22no—
571C22×C3#45114yescomplemented
572C22×C3C2×#12011yescharacteristic
573C22×C3C2×#12011yescharacteristic
574C22×C3#53411yescharacteristic
575C22×C3C22×Q1611yescharacteristic
576C22×C3C2×#13711yescharacteristic
577C22×C3C2×#13711yescharacteristic
578C22×C3#57511yescharacteristic
579C2×D3—22no—
580C2×D3—22no—
581C2×D3—22no—
582C2×D3—22no—
583C2×D3—22no—
584C2×D3—22no—
585C2×D3—22no—
586C2×D3—22no—
587C2×D3—22no—
588C2×D3—416no—
589C2×D3—41no—
590C2×D3—41no—
591C2×D3—41no—
592C2×D3—41no—
593C2×D3#45114yescomplemented
594C3×C4—22no—
595C3×C4—42no—
596C3×C4—42no—
597C3×C4—44no—
598C3×C4D4212yes—
599C3×C4D4212yes—
600Dic3—22no—
601Dic3—42no—
602Dic3—44no—
603Dic3—41no—
604Dic3—42no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—32no—
610C23—32no—
611C23—32no—
612C23—32no—
613C23—68no—
614C23—61no—
615C23—61no—
616C23—61no—
617C23—61no—
618C23—61no—
619C23—61no—
620C23—61no—
621C23—61no—
622C23—61no—
623C23—68no—
624C23—61no—
625C23—124no—
626C23—124no—
627C23—124no—
628C23—124no—
629C23—124no—
630C23#88212yes—
631C23#91512yes—
632C23D3×Q1612yes—
633C23C2×D3×D411yescharacteristic
634Q8—24no—
635Q8—42no—
636Q8—64no—
637Q8—64no—
638Q8—64no—
639Q8—128no—
640Q8—128no—
641Q8—122no—
642Q8—122no—
643Q8—122no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—32no—
652C2×C4—48no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—64no—
662C2×C4—64no—
663C2×C4—61no—
664C2×C4—62no—
665C2×C4—62no—
666C2×C4—61no—
667C2×C4—64no—
668C2×C4—61no—
669C2×C4—124no—
670C2×C4—124no—
671C2×C4—128no—
672C2×C4—128no—
673C2×C4—124no—
674C2×C4—128no—
675C2×C4—121no—
676C2×C4—122no—
677C2×C4—122no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4—122no—
682C2×C4—122no—
683C2×C4#88212yes—
684C2×C4C22×D1211yescharacteristic
685C2×C4C2×D3×D412yes—
686C2×C4C2×D3×D411yescharacteristic
687C2×C4#100912yes—
688C8—42no—
689C8—122no—
690C2×C3—24no—
691C2×C3#240311yescharacteristic
692C2×C3C2×#45111yescharacteristic
693C2×C3C2×#45111yescharacteristic
694C2×C3#300711yescharacteristic
695C2×C3#300711yescharacteristic
696C2×C3#318911yescharacteristic
697C2×C3#319511yescharacteristic
698D3—24no—
699D3—42no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—34no—
707C22—62no—
708C22—62no—
709C22—62no—
710C22—62no—
711C22—62no—
712C22—62no—
713C22—62no—
714C22—62no—
715C22—62no—
716C22—1216no—
717C22—121no—
718C22—121no—
719C22—121no—
720C22—121no—
721C22#480914yescomplemented
722C22C2×#88211yescharacteristic
723C22D3×#12011yescharacteristic
724C22#565311yescharacteristic
725C22C2×#91511yescharacteristic
726C22C2×D3×Q1611yescharacteristic
727C22#577311yescharacteristic
728C22D3×#13711yescharacteristic
729C4—22no—
730C4—44no—
731C4—42no—
732C4—42no—
733C4—62no—
734C4—122no—
735C4—121no—
736C4—122no—
737C4—124no—
738C4D4×D1212yes—
739C4#560912yes—
740C3#2392111yescharacteristic, complemented, Sylow
741C2—24no—
742C2—64no—
743C2—122no—
744C2#7488411yescharacteristic
745C2C2×#480911yescharacteristic
746C2#7888511yescharacteristic
747C2#8014711yescharacteristic
748C2D3×#45111yescharacteristic
749C2#8144911yescharacteristic
750C2#8148811yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1872C2
socleC23×C3C22×D4
prime radicalC24×D3D4
hypercenter#1872D3
hypocenterC3#23921
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1872

Complements

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

NH ≅ G/Ntype
3. C2×#5050C2semidirect
4. C2×#4809C2semidirect
5. C2×#4739C2semidirect
6. C3×#1872C2semidirect
7. #71559C2semidirect
8. #70273C2semidirect
10. #68888C2semidirect
11. #68878C2semidirect
19. C22×#216C22semidirect
23. C22×Dic12C22semidirect
37. C2×C3×#103C22semidirect
42. C2×#816C22semidirect
44. C2×#810C22semidirect
45. C2×#810C22semidirect
48. C3×#340C22semidirect
49. #4529C22semidirect
59. #1872D3semidirect
175. C2×#103C2×D3semidirect
181. #340C2×D3semidirect
189. C23×D3Q16semidirect
571. C22×C3#451semidirect
593. C2×D3#451semidirect
721. C22#4809semidirect
740. C3#23921semidirect

Maximal subgroups

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

subgroupindex
C2×D3×C22⋊Q82
C22×#8972
C2×#50502
C2×#48092
C2×#47392
C3×#18722
#715592
#702732
#699552
#688882
#688782
#239213