Finite Group Databasebeta

← #29681192

Subgroups — #29681192

Order 15616.

1914 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D61C211yesmaximal, characteristic, complemented
2C2×#16840274C211yesmaximal, characteristic
3C2×#16839780C211yesmaximal, characteristic, complemented
4C2×#16839778C211yesmaximal, characteristic, complemented
5#21448198C211yesmaximal, characteristic, complemented
6#21446120C218yesmaximal, complemented
7#21445528C211yesmaximal, characteristic, complemented
8C61×#1733C211yesmaximal, characteristic, complemented
9C22×#11758222C2211yescharacteristic
10C23×C4×D61C2211yescharacteristic
11C22×#11758194C2211yescharacteristic
12C22×#11758189—21no—
13C2×M16×D61—24no—
14C2×M16×D61—24no—
15C2×M16×D61—22no—
16C2×M16×D61C2214yescomplemented
17C22×C8×D61—21no—
18#16840274—22no—
19#16840274—21no—
20#16840274—21no—
21#16840274C412yescomplemented
22#16840274C412yescomplemented
23#16840274C2214yes—
24C2×#14519761—21no—
25C2×#14519757C412yescomplemented
26C2×#14519752C412yescomplemented
27C2×#14519747—21no—
28C2×C4×D244—22no—
29C2×#14519736C2211yescharacteristic
30#16839780—24no—
31#16839778—24no—
32C2×#14519705C2214yescomplemented
33C2×#14519703C2214yescomplemented
34#16839623—21no—
35#16839619—22no—
36#16839617—21no—
37C4×#11758198C2214yescomplemented
38#16839521C2214yescomplemented
39C22×M16×C61C2211yescharacteristic
40C2×#117×C61C2211yescharacteristic
41C2×#117×C61C2211yescharacteristic
42C61×#339C2214yescomplemented
43C24×D61D411yescharacteristic
44C2×#11758222—21no—
45C2×#11758222—21no—
46C2×#11758222—22no—
47C2×#11758222—22no—
48C2×#11758222—22no—
49C2×#11758222—22no—
50C2×#11758222C2×C412yes—
51C2×#11758222C2312yes—
52C22×Dic122C2×C411yescharacteristic
53C22×D244—22no—
54C22×D244C2×C411yescharacteristic
55C22×C22⋊D61—21no—
56C23×Dic61D411yescharacteristic
57C22×C4×D61—22no—
58C22×C4×D61—22no—
59C22×C4×D61—22no—
60C22×C4×D61—22no—
61C22×C4×D61—21no—
62C22×C4×D61C2×C412yes—
63C22×C4×D61C2×C411yescharacteristic
64C22×C4×D61C2×C411yescharacteristic
65C22×C4×D61D412yes—
66C22×C4×D61D412yes—
67C22×C4×D61D411yescharacteristic
68C22×C4×D61D411yescharacteristic
69C22×C4×D61C2312yes—
70C2×#11758194—22no—
71C2×#11758194—21no—
72C2×#11758194D414yescomplemented
73C2×#11758194C2312yes—
74C2×#11758189—28no—
75C2×#11758189—24no—
76M16×D61—216no—
77M16×D61—28no—
78M16×D61—28no—
79C22×#92418—21no—
80C2×C8×D61—28no—
81C2×C8×D61—24no—
82#14519761—22no—
83#14519761—22no—
84#14519761—24no—
85#14519757—22no—
86#14519757—22no—
87#14519757C2×C414yes—
88#14519757C2×C414yes—
89#14519752—22no—
90#14519752—22no—
91#14519752C2×C414yes—
92#14519752C2×C414yes—
93#14519747—22no—
94#14519747—22no—
95#14519747—24no—
96C4×D244—24no—
97C4×D244—24no—
98C4×D244—24no—
99C4×D244—24no—
100#14519736—22no—
101#14519736—22no—
102C2×C4⋊Dic61—22no—
103C2×C4⋊Dic61—21no—
104C2×C22⋊Dic61—21no—
105C2×#11758198—22no—
106C2×#11758198—22no—
107C2×#11758198—24no—
108C2×C4×Dic61C2312yes—
109#14519705—28no—
110#14519703—28no—
111#14519684—24no—
112C23×C4×C61C2311yescharacteristic
113C2×M16×C61—22no—
114C2×M16×C61—21no—
115C2×M16×C61D414yescomplemented
116C2×M16×C61C2312yes—
117C22×C8×C61—21no—
118#117×C61—21no—
119#117×C61—21no—
120#117×C61—22no—
121#117×C61—22no—
122#117×C61C2×C412yes—
123#117×C61C2312yes—
124C2×C4⋊C4×C61—21no—
125C2×C4⋊C4×C61C2×C412yes—
126C2×C22⋊C4×C61—21no—
127C2×C22⋊C4×C61—21no—
128C2×C42×C61—21no—
129C2×C42×C61C2312yes—
130C24×C61C2×D411yescharacteristic
131C23×D61—22no—
132C23×D61—22no—
133C23×D61—21no—
134C23×D61—44no—
135C23×D61C22⋊C411yescharacteristic
136C23×D61C22⋊C412yes—
137C23×D61C22⋊C411yescharacteristic
138C23×D61C2×D412yes—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61C22×C411yescharacteristic
142C22×C4×C61C22×C411yescharacteristic
143C22×C4×C61C2×D411yescharacteristic
144C22×C4×C61C2×D411yescharacteristic
145C22×C4×C61C2×D411yescharacteristic
146C22×C4×C61C2×D412yes—
147C22×C4×C61C2×D412yes—
148C22×C4×C61#4112yes—
149C22×C4×C61#4112yes—
150C22×C4×C61C2411yescharacteristic
151C2×C22⋊D61—22no—
152C2×C22⋊D61—22no—
153C2×C22⋊D61—42no—
154C2×C22⋊D61—42no—
155C22×Dic61—22no—
156C22×Dic61—22no—
157C22×Dic61—21no—
158C22×Dic61—22no—
159C22×Dic61C22⋊C412yes—
160C22×Dic61C22⋊C411yescharacteristic
161C22×Dic61C22⋊C411yescharacteristic
162C22×Dic61C2×D412yes—
163#11758222—24no—
164#11758222—24no—
165#11758222—22no—
166#11758222—22no—
167#11758222—22no—
168#11758222—22no—
169#11758222—42no—
170#11758222—42no—
171#11758222—42no—
172#11758222—42no—
173C2×D244—22no—
174C2×D244—22no—
175C2×D244—24no—
176C2×D244—24no—
177C2×D244—21no—
178C2×D244—48no—
179C2×D244C22×C412yes—
180C2×C4×D61—24no—
181C2×C4×D61—22no—
182C2×C4×D61—22no—
183C2×C4×D61—24no—
184C2×C4×D61—22no—
185C2×C4×D61—22no—
186C2×C4×D61—22no—
187C2×C4×D61—24no—
188C2×C4×D61—22no—
189C2×C4×D61—24no—
190C2×C4×D61—24no—
191C2×C4×D61—24no—
192C2×C4×D61—22no—
193C2×C4×D61—22no—
194C2×C4×D61—22no—
195C2×C4×D61—22no—
196C2×C4×D61—22no—
197C2×C4×D61—22no—
198C2×C4×D61—22no—
199C2×C4×D61—22no—
200C2×C4×D61—42no—
201C2×C4×D61—42no—
202C2×C4×D61C22⋊C412yes—
203C2×C4×D61C22⋊C412yes—
204C2×C4×D61C22⋊C412yes—
205C2×C4×D61C22⋊C412yes—
206C2×C4×D61C22×C412yes—
207C2×C4×D61C22×C412yes—
208C2×C4×D61C2×D412yes—
209C2×C4×D61C2×D412yes—
210C2×Dic122—22no—
211C2×Dic122—22no—
212C2×Dic122—21no—
213C2×Dic122C22×C412yes—
214M16×C61—24no—
215M16×C61—22no—
216M16×C61C2×D414yescomplemented
217C2×C8×C61—24no—
218C2×C8×C61—22no—
219C4⋊C4×C61—22no—
220C4⋊C4×C61—42no—
221C4⋊C4×C61C22×C414yes—
222C22⋊C4×C61—22no—
223C22⋊C4×C61—22no—
224C22⋊C4×C61—42no—
225C42×C61—22no—
226C42×C61—22no—
227C42×C61—22no—
228C42×C61—22no—
229C22⋊Dic61—42no—
230#11758198—24no—
231#11758198—24no—
232#11758198—24no—
233#11758198—24no—
234#11758198—48no—
235C4⋊Dic61—24no—
236C4⋊Dic61—24no—
237C4⋊Dic61—42no—
238C4×Dic61—22no—
239C4×Dic61—22no—
240#11758194—24no—
241#11758194—22no—
242#11758194C2×D414yescomplemented
243C2×#92418—24no—
244C2×#92418—22no—
245#11758189—216no—
246C8×D61—216no—
247C23×C61—42no—
248C23×C61C2×C22⋊C411yescharacteristic
249C23×C61C2×C22⋊C411yescharacteristic
250C23×C61#12112yes—
251C23×C61#12112yes—
252C23×C61C22×D411yescharacteristic
253C22×D61—22no—
254C22×D61—24no—
255C22×D61—22no—
256C22×D61—22no—
257C22×D61—24no—
258C22×D61—22no—
259C22×D61—24no—
260C22×D61—24no—
261C22×D61—22no—
262C22×D61—42no—
263C22×D61—42no—
264C22×D61—42no—
265C22×D61—48no—
266C22×D61—48no—
267C22×D61—44no—
268C22×D61—42no—
269C22×D61C2×C22⋊C412yes—
270C22×D61C2×C22⋊C412yes—
271C2×C4×C61—24no—
272C2×C4×C61—44no—
273C2×C4×C61—44no—
274C2×C4×C61—42no—
275C2×C4×C61C2×C22⋊C411yescharacteristic
276C2×C4×C61C2×C22⋊C411yescharacteristic
277C2×C4×C61C4×D412yes—
278C2×C4×C61C4×D412yes—
279C2×C4×C61C4×D412yes—
280C2×C4×C61C4×D412yes—
281C2×C4×C61#12012yes—
282C2×C4×C61#12012yes—
283C2×C4×C61#12112yes—
284C2×C4×C61#12112yes—
285C2×C4×C61#12312yes—
286C2×C4×C61#12312yes—
287C2×C4×C61C23×C411yescharacteristic
288C2×C4×C61C22×D411yescharacteristic
289C2×C4×C61C22×D411yescharacteristic
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C2×#4111yescharacteristic
292C2×C4×C61C2×#4111yescharacteristic
293C22⋊D61—42no—
294C22⋊D61—42no—
295C22⋊D61—44no—
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—24no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61—22no—
302C2×Dic61—42no—
303C2×Dic61—44no—
304C2×Dic61—42no—
305C2×Dic61C2×C22⋊C412yes—
306C2×Dic61C2×C22⋊C412yes—
307D244—22no—
308D244—22no—
309D244—48no—
310D244—48no—
311D244—42no—
312C4×D61—22no—
313C4×D61—22no—
314C4×D61—22no—
315C4×D61—22no—
316C4×D61—22no—
317C4×D61—22no—
318C4×D61—22no—
319C4×D61—22no—
320C4×D61—24no—
321C4×D61—24no—
322C4×D61—24no—
323C4×D61—24no—
324C4×D61—42no—
325C4×D61—42no—
326C4×D61—44no—
327Dic122—22no—
328Dic122—22no—
329Dic122—42no—
330C8×C61—24no—
331#92418—24no—
332#20902—611nomaximal, Sylow
333C22×C61—22no—
334C22×C61—22no—
335C22×C61—22no—
336C22×C61—42no—
337C22×C61—42no—
338C22×C61#38612yes—
339C22×C61#38612yes—
340C22×C61C22×C22⋊C411yescharacteristic
341C22×C61C2×#12111yescharacteristic
342C22×C61C2×#12111yescharacteristic
343C2×D61—28no—
344C2×D61—22no—
345C2×D61—22no—
346C2×D61—22no—
347C2×D61—22no—
348C2×D61—22no—
349C2×D61—44no—
350C2×D61—44no—
351C2×D61—48no—
352C2×D61—44no—
353C2×D61—44no—
354C2×D61—42no—
355C2×D61—84no—
356C2×D61#42114yescomplemented
357C4×C61—44no—
358C4×C61—82no—
359C4×C61#38612yes—
360C4×C61#38612yes—
361C4×C61C2×C4×D411yescharacteristic
362C4×C61C2×C4×D411yescharacteristic
363C4×C61C2×#12011yescharacteristic
364C4×C61C2×#12311yescharacteristic
365Dic61—22no—
366Dic61—22no—
367Dic61—42no—
368Dic61—82no—
369C23×M16—611no—
370C2×#525—611no—
371C2×#421—611no—
372C2×#421—611no—
373#2280—611no—
374#1871—618no—
375#1733—611no—
376#1733D6111yescharacteristic, complemented
377C2×C61—21no—
378C2×C61—21no—
379C2×C61—22no—
380C2×C61—22no—
381C2×C61C2×#38611yescharacteristic
382C2×C61C2×#42112yes—
383D61—24no—
384D61—42no—
385D61—82no—
386C22×#41—611no—
387C24×C4—611no—
388C22×M16—611no—
389C22×M16—614no—
390C22×M16—1221no—
391C22×M16—1224no—
392C22×M16—1222no—
393C22×M16—1224no—
394C22×M16C2×D6111yescharacteristic
395C23×C8—1221no—
396#525—612no—
397#525—612no—
398#525—614no—
399#525—1221no—
400#525—1221no—
401#525—1222no—
402C2×#123—1221no—
403C2×C22⋊Q8—612no—
404C2×#121—612no—
405C2×#120—1221no—
406C2×C4×D4—1222no—
407C2×#117—611no—
408C2×#117C2×D6111yescharacteristic
409C2×#117C2×D6111yescharacteristic
410#421—1224no—
411#421—1224no—
412C2×#104—614no—
413C2×#104—614no—
414#381—1221no—
415#380—1222no—
416#379—1221no—
417C4×C22⋊C4—614no—
418#339—614no—
419#339C2×D6114yescomplemented
420C61#2090211yescharacteristic, complemented, Sylow
421C25—611no—
422C2×#41—612no—
423C2×#41—612no—
424C2×#41—1221no—
425C2×#41—1221no—
426C2×#41—1222no—
427C2×#41—1222no—
428C2×#41—1222no—
429C2×#41—1222no—
430C22×Q8—611no—
431C22×D4—611no—
432C22×D4—1222no—
433C22×D4—1221no—
434C23×C4—611no—
435C23×C4—612no—
436C23×C4—611no—
437C23×C4—611no—
438C23×C4—612no—
439C23×C4—611no—
440C23×C4—611no—
441C23×C4—612no—
442C23×C4—612no—
443C23×C4—1222no—
444C23×C4—1222no—
445C23×C4—1222no—
446C23×C4—1222no—
447C23×C4—1221no—
448C23×C4C22×D6111yescharacteristic
449C2×M16—21no—
450C2×M16—22no—
451C2×M16—614no—
452C2×M16—612no—
453C2×M16—1224no—
454C2×M16—1228no—
455C2×M16—1228no—
456C2×M16—12216no—
457C2×M16—1222no—
458C2×M16—1221no—
459C2×M16—1228no—
460C2×M16D24414yescomplemented
461C2×M16C22×D6112yes—
462C22×C8—21no—
463C22×C8—1224no—
464C22×C8—1228no—
465C22×C8—1221no—
466#123—1224no—
467#123—1222no—
468#123—1222no—
469C22⋊Q8—614no—
470C22⋊Q8—614no—
471C22⋊Q8—1222no—
472C22⋊Q8—1222no—
473#121—614no—
474#121—614no—
475#121—1222no—
476#121—1222no—
477#120—1224no—
478#120—1222no—
479#120—1222no—
480C4×D4—1224no—
481C4×D4—1224no—
482C4×D4—1224no—
483C4×D4—1224no—
484#117—21no—
485#117—21no—
486#117—22no—
487#117—22no—
488#117—1222no—
489#117—1222no—
490#117C4×D6112yes—
491#117C22×D6112yes—
492C2×C4⋊C4—21no—
493C2×C4⋊C4—1222no—
494C2×C4⋊C4—1221no—
495C2×C4⋊C4C4×D6112yes—
496C2×C22⋊C4—21no—
497C2×C22⋊C4—21no—
498C2×C22⋊C4—1222no—
499C2×C22⋊C4—1222no—
500C2×C22⋊C4—1224no—
501C2×C22⋊C4—1221no—
502C2×C42—21no—
503C2×C42—612no—
504C2×C42C22×D6112yes—
505#104—1228no—
506#104—1228no—
507#95—1224no—
508C24—611no—
509C24—612no—
510C24—612no—
511C24—611no—
512C24—1222no—
513C24—1222no—
514C24—1221no—
515C24—2444no—
516C24D4×D6111yescharacteristic
517#41—1222no—
518#41—1222no—
519#41—1222no—
520#41—1222no—
521#41—1224no—
522#41—1224no—
523#41—2442no—
524#41—2442no—
525#41—2442no—
526#41—2442no—
527C2×Q8—612no—
528C2×Q8—1221no—
529C2×Q8—1222no—
530C2×Q8—1222no—
531C2×D4—612no—
532C2×D4—1224no—
533C2×D4—1224no—
534C2×D4—1222no—
535C2×D4—1222no—
536C2×D4—1221no—
537C2×D4—1222no—
538C2×D4—1222no—
539C2×D4—2448no—
540C2×D4—2442no—
541C2×D4—2442no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—612no—
545C22×C4—612no—
546C22×C4—611no—
547C22×C4—611no—
548C22×C4—612no—
549C22×C4—612no—
550C22×C4—612no—
551C22×C4—612no—
552C22×C4—612no—
553C22×C4—612no—
554C22×C4—612no—
555C22×C4—612no—
556C22×C4—1222no—
557C22×C4—1222no—
558C22×C4—1222no—
559C22×C4—1222no—
560C22×C4—1222no—
561C22×C4—1222no—
562C22×C4—1224no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—1224no—
566C22×C4—1222no—
567C22×C4—1222no—
568C22×C4—1222no—
569C22×C4—1224no—
570C22×C4—1222no—
571C22×C4—1224no—
572C22×C4—1224no—
573C22×C4—1224no—
574C22×C4—1222no—
575C22×C4—1222no—
576C22×C4—1221no—
577C22×C4—1222no—
578C22×C4—1222no—
579C22×C4—1222no—
580C22×C4—2442no—
581C22×C4—2442no—
582C22×C4C2×C4×D6111yescharacteristic
583C22×C4C2×C4×D6111yescharacteristic
584C22×C4C2×D24412yes—
585C22×C4#1175822212yes—
586C22×C4D4×D6112yes—
587C22×C4D4×D6111yescharacteristic
588C22×C4D4×D6111yescharacteristic
589C22×C4D4×D6111yescharacteristic
590C22×C4#1175822612yes—
591C22×C4C23×D6111yescharacteristic
592M16—22no—
593M16—24no—
594M16—614no—
595M16—12216no—
596M16—1222no—
597M16—1224no—
598M16C2×D24414yescomplemented
599C2×C8—22no—
600C2×C8—24no—
601C2×C8—12216no—
602C2×C8—1222no—
603C2×C8—1224no—
604C4⋊C4—22no—
605C4⋊C4—42no—
606C4⋊C4—1224no—
607C4⋊C4—1224no—
608C4⋊C4—2442no—
609C4⋊C4C2×C4×D6114yes—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—42no—
613C22⋊C4—1224no—
614C22⋊C4—1224no—
615C22⋊C4—1224no—
616C22⋊C4—1224no—
617C22⋊C4—2448no—
618C22⋊C4—2442no—
619C42—22no—
620C42—22no—
621C42—22no—
622C42—22no—
623C42—1222no—
624C42—1222no—
625C23—42no—
626C23—612no—
627C23—612no—
628C23—1224no—
629C23—1224no—
630C23—1224no—
631C23—1222no—
632C23—1222no—
633C23—1222no—
634C23—1224no—
635C23—1222no—
636C23—1222no—
637C23—2442no—
638C23—2442no—
639C23—2442no—
640C23—2444no—
641C23—2448no—
642C23—2448no—
643C23—2442no—
644C23C22⋊C4×D6111yescharacteristic
645C23C22⋊C4×D6111yescharacteristic
646C23#1451975012yes—
647C23#1451975212yes—
648C23C2×D4×D6111yescharacteristic
649Q8—1222no—
650Q8—1222no—
651Q8—2442no—
652D4—1222no—
653D4—1222no—
654D4—2448no—
655D4—2448no—
656D4—2442no—
657D4—2442no—
658D4—2444no—
659D4—2442no—
660C2×C4—24no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—612no—
665C2×C4—612no—
666C2×C4—1222no—
667C2×C4—1222no—
668C2×C4—1224no—
669C2×C4—1222no—
670C2×C4—1222no—
671C2×C4—1222no—
672C2×C4—1222no—
673C2×C4—1222no—
674C2×C4—1222no—
675C2×C4—1222no—
676C2×C4—1222no—
677C2×C4—1222no—
678C2×C4—1222no—
679C2×C4—1224no—
680C2×C4—1224no—
681C2×C4—1224no—
682C2×C4—1224no—
683C2×C4—1222no—
684C2×C4—2444no—
685C2×C4—2442no—
686C2×C4—2442no—
687C2×C4—2442no—
688C2×C4—2442no—
689C2×C4—2444no—
690C2×C4C22⋊C4×D6111yescharacteristic
691C2×C4C22⋊C4×D6111yescharacteristic
692C2×C4#1451973912yes—
693C2×C4#1451973912yes—
694C2×C4C4×D24412yes—
695C2×C4C4×D24412yes—
696C2×C4#1451974712yes—
697C2×C4#1451974712yes—
698C2×C4#1451975012yes—
699C2×C4#1451975212yes—
700C2×C4#1451976212yes—
701C2×C4#1451976212yes—
702C2×C4C22×C4×D6111yescharacteristic
703C2×C4C2×D4×D6111yescharacteristic
704C2×C4C2×D4×D6111yescharacteristic
705C2×C4C22×D24411yescharacteristic
706C2×C4C2×#1175822211yescharacteristic
707C2×C4C2×#1175822611yescharacteristic
708C8—24no—
709C8—1224no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—42no—
714C22—42no—
715C22—614no—
716C22—1228no—
717C22—1222no—
718C22—1222no—
719C22—1222no—
720C22—1222no—
721C22—1222no—
722C22—4884no—
723C22—2444no—
724C22—2444no—
725C22—2448no—
726C22—2444no—
727C22—2444no—
728C22—2442no—
729C22#1683964012yes—
730C22#1683964012yes—
731C22C2×C22⋊C4×D6111yescharacteristic
732C22C2×#1451975011yescharacteristic
733C22C2×#1451975211yescharacteristic
734C4—44no—
735C4—82no—
736C4—1222no—
737C4—1222no—
738C4—4882no—
739C4—2442no—
740C4#1683964012yes—
741C4#1683964012yes—
742C4C2×#1451973911yescharacteristic
743C4C2×C4×D24411yescharacteristic
744C4C2×#1451974711yescharacteristic
745C4C2×#1451976211yescharacteristic
746C2—21no—
747C2—21no—
748C2—22no—
749C2—22no—
750C2—1224no—
751C2—4882no—
752C2—2442no—
753C2C2×#1683964011yescharacteristic
754C2#421×D6112yes—
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1733C2
socleC22×C61C22×C22⋊C4
prime radicalC2×#16840274C2
cosocleC22×C4×C61C24
hypercenter#1733D61
hypocenterC61#20902
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #1733

Complements

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

NH ≅ G/Ntype
1. C22×M16×D61C2semidirect
3. C2×#16839780C2semidirect
4. C2×#16839778C2semidirect
5. #21448198C2semidirect
6. #21446120C2semidirect
7. #21445528C2semidirect
8. C61×#1733C2semidirect
16. C2×M16×D61C22semidirect
21. #16840274C4semidirect
22. #16840274C4semidirect
25. C2×#14519757C4semidirect
26. C2×#14519752C4semidirect
32. C2×#14519705C22semidirect
33. C2×#14519703C22semidirect
37. C4×#11758198C22semidirect
38. #16839521C22semidirect
42. C61×#339C22semidirect
72. C2×#11758194D4semidirect
115. C2×M16×C61D4semidirect
216. M16×C61C2×D4semidirect
242. #11758194C2×D4semidirect
356. C2×D61#421semidirect
376. #1733D61semidirect
419. #339C2×D61semidirect
420. C61#20902semidirect
460. C2×M16D244semidirect
598. M16C2×D244semidirect

Maximal subgroups

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

subgroupindex
C22×M16×D612
C2×#168402742
C2×#168397802
C2×#168397782
#214481982
#214461202
#214455282
C61×#17332
#2090261