Finite Group Databasebeta

← C2×#21446281 #29681831

Subgroups — C2×#21446281 #29681831

Order 15616.

2198 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
2C22×#14519752C211yesmaximal, characteristic
3C22×#14519693C211yesmaximal, characteristic, complemented
4C22×#14519693C211yesmaximal, characteristic, complemented
5C2×#16839725C211yesmaximal, characteristic, complemented
6#21446281C218yesmaximal, direct product factor
7C2×#16839531C211yesmaximal, characteristic, complemented
8C2×C61×#343C211yesmaximal, characteristic, complemented
9C23×D244C412yes—
10C23×D244C2211yescharacteristic
11C23×C4×D61C2211yescharacteristic
12C22×#11758194C2211yescharacteristic
13C22×#11758194C2211yescharacteristic
14C22×#11758189—21no—
15C2×M16×D61—24no—
16C2×M16×D61—24no—
17C2×M16×D61—22no—
18C2×M16×D61C2214yescomplemented
19C22×C8×D61—21no—
20C2×#14519752—21no—
21C2×#14519752—21no—
22C2×#14519752—22no—
23C2×#14519752—21no—
24C2×#14519752—22no—
25C2×#14519752—21no—
26C2×#14519752C414yes—
27C2×#14519752C2214yes—
28C22×#11758198C412yes—
29C2×#14519693—24no—
30C2×#14519693—24no—
31C2×#14519693C2214yescomplemented
32C2×#14519693C2214yescomplemented
33#16839725—22no—
34#16839725C2214yescomplemented
35C2×#14519689—21no—
36C2×#14519689—21no—
37#16839531C2214yescomplemented
38C22×M16×C61C2211yescharacteristic
39C22×M16×C61C2211yescharacteristic
40C22×C4⋊C4×C61C2211yescharacteristic
41C61×#343C2214yescomplemented
42C24×D61C2×C411yescharacteristic
43C24×D61C2×C412yes—
44C22×D244—22no—
45C22×D244—24no—
46C22×D244—22no—
47C22×D244—22no—
48C22×D244—22no—
49C22×D244—21no—
50C22×D244—21no—
51C22×D244—21no—
52C22×D244—21no—
53C22×D244—22no—
54C22×D244—22no—
55C22×D244—48no—
56C22×D244C2×C412yes—
57C22×D244C2×C418yes—
58C22×D244C2312yes—
59C23×Dic61C2×C411yescharacteristic
60C22×C4×D61—22no—
61C22×C4×D61—22no—
62C22×C4×D61—22no—
63C22×C4×D61—22no—
64C22×C4×D61C2×C412yes—
65C22×C4×D61D411yescharacteristic
66C22×C4×D61D411yescharacteristic
67C22×C4×D61D412yes—
68C22×C4×D61D411yescharacteristic
69C22×C4×D61D412yes—
70C22×C4×D61D411yescharacteristic
71C22×C4×D61C2312yes—
72C2×#11758194—22no—
73C2×#11758194—21no—
74C2×#11758194—21no—
75C2×#11758194—22no—
76C2×#11758194—22no—
77C2×#11758194D414yescomplemented
78C2×#11758194C2312yes—
79C2×#11758194C2312yes—
80C2×#11758189—28no—
81C2×#11758189—24no—
82M16×D61—216no—
83M16×D61—28no—
84M16×D61—28no—
85C22×#92418—21no—
86C22×#92418—21no—
87C2×C8×D61—28no—
88C2×C8×D61—24no—
89#14519752—24no—
90#14519752—24no—
91#14519752—24no—
92#14519752—24no—
93#14519752—24no—
94#14519752—24no—
95#14519752—24no—
96#14519752—24no—
97C2×#11758198—24no—
98C2×#11758198—22no—
99C2×#11758198—22no—
100C2×#11758198C2×C418yes—
101#14519693—28no—
102#14519693—28no—
103#14519689—24no—
104#14519689—24no—
105C23×C4×C61C2×C412yes—
106C23×C4×C61C2311yescharacteristic
107C2×M16×C61—22no—
108C2×M16×C61—21no—
109C2×M16×C61—21no—
110C2×M16×C61—22no—
111C2×M16×C61—22no—
112C2×M16×C61D414yescomplemented
113C2×M16×C61C2312yes—
114C2×M16×C61C2312yes—
115C22×C8×C61—21no—
116C22×C8×C61—21no—
117C2×C4⋊C4×C61—21no—
118C2×C4⋊C4×C61—21no—
119C2×C4⋊C4×C61—21no—
120C2×C4⋊C4×C61—21no—
121C2×C4⋊C4×C61C2×C412yes—
122C2×C4⋊C4×C61C2312yes—
123C24×C61C22×C411yescharacteristic
124C23×D61—22no—
125C23×D61—22no—
126C23×D61—24no—
127C23×D61—22no—
128C23×D61—22no—
129C23×D61—24no—
130C23×D61—24no—
131C23×D61—42no—
132C23×D61—44no—
133C23×D61—44no—
134C23×D61C22⋊C411yescharacteristic
135C23×D61C22⋊C412yes—
136C23×D61C22⋊C411yescharacteristic
137C23×D61C22×C412yes—
138C23×D61C22×C414yes—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—44no—
142C22×C4×C61C22×C414yes—
143C22×C4×C61C22×C411yescharacteristic
144C22×C4×C61C2×D411yescharacteristic
145C22×C4×C61C2×D411yescharacteristic
146C22×C4×C61C2×D411yescharacteristic
147C22×C4×C61C2×D411yescharacteristic
148C22×C4×C61C2×D412yes—
149C22×C4×C61C2×D412yes—
150C22×C4×C61#4112yes—
151C22×C4×C61#4112yes—
152C22×C4×C61C2411yescharacteristic
153C22×Dic61—22no—
154C22×Dic61—22no—
155C22×Dic61C22⋊C412yes—
156C22×Dic61C22⋊C411yescharacteristic
157C22×Dic61C22⋊C411yescharacteristic
158C22×Dic61C22×C412yes—
159C2×D244—28no—
160C2×D244—28no—
161C2×D244—22no—
162C2×D244—22no—
163C2×D244—24no—
164C2×D244—24no—
165C2×D244—22no—
166C2×D244—22no—
167C2×D244—22no—
168C2×D244—22no—
169C2×D244—22no—
170C2×D244—22no—
171C2×D244—48no—
172C2×D244—416no—
173C2×D244—48no—
174C2×D244—42no—
175C2×D244—42no—
176C2×D244—42no—
177C2×D244—42no—
178C2×D244—42no—
179C2×D244—42no—
180C2×D244—42no—
181C2×D244—42no—
182C2×D244—416no—
183C2×C4×D61—24no—
184C2×C4×D61—24no—
185C2×C4×D61—22no—
186C2×C4×D61—24no—
187C2×C4×D61—22no—
188C2×C4×D61—22no—
189C2×C4×D61—22no—
190C2×C4×D61—24no—
191C2×C4×D61—22no—
192C2×C4×D61—22no—
193C2×C4×D61—24no—
194C2×C4×D61—22no—
195C2×C4×D61—24no—
196C2×C4×D61—22no—
197C2×C4×D61—22no—
198C2×C4×D61—22no—
199C2×C4×D61—22no—
200C2×C4×D61—22no—
201C2×C4×D61C22⋊C412yes—
202C2×C4×D61C22⋊C412yes—
203C2×C4×D61C22⋊C412yes—
204C2×C4×D61C22⋊C412yes—
205C2×C4×D61C2×D412yes—
206C2×C4×D61C2×D412yes—
207C2×C4×D61C2×D412yes—
208C2×C4×D61C2×D412yes—
209M16×C61—24no—
210M16×C61—22no—
211M16×C61—22no—
212M16×C61—22no—
213M16×C61—42no—
214M16×C61C2×D414yescomplemented
215C2×C8×C61—24no—
216C2×C8×C61—22no—
217C2×C8×C61—22no—
218C2×C8×C61—42no—
219C4⋊C4×C61—22no—
220C4⋊C4×C61—22no—
221C4⋊C4×C61—22no—
222C4⋊C4×C61—22no—
223#11758198—28no—
224#11758198—28no—
225#11758194—24no—
226#11758194—22no—
227#11758194—22no—
228#11758194—22no—
229#11758194—42no—
230#11758194C2×D414yescomplemented
231C2×#92418—24no—
232C2×#92418—22no—
233C2×#92418—22no—
234C2×#92418—42no—
235#11758189—216no—
236C8×D61—216no—
237C23×C61—22no—
238C23×C61—22no—
239C23×C61C2×C22⋊C411yescharacteristic
240C23×C61C2×C22⋊C411yescharacteristic
241C23×C61C4×D412yes—
242C23×C61C4×D412yes—
243C23×C61C23×C411yescharacteristic
244C22×D61—22no—
245C22×D61—22no—
246C22×D61—22no—
247C22×D61—22no—
248C22×D61—24no—
249C22×D61—22no—
250C22×D61—22no—
251C22×D61—22no—
252C22×D61—24no—
253C22×D61—24no—
254C22×D61—24no—
255C22×D61—24no—
256C22×D61—24no—
257C22×D61—42no—
258C22×D61—42no—
259C22×D61—48no—
260C22×D61—48no—
261C22×D61—44no—
262C22×D61—44no—
263C22×D61—44no—
264C22×D61—44no—
265C22×D61—44no—
266C22×D61—44no—
267C22×D61—44no—
268C22×D61—44no—
269C22×D61—88no—
270C22×D61—88no—
271C22×D61#10014yescomplemented
272C22×D61C2×C22⋊C412yes—
273C22×D61C2×C22⋊C412yes—
274C2×C4×C61—24no—
275C2×C4×C61—44no—
276C2×C4×C61—44no—
277C2×C4×C61—44no—
278C2×C4×C61C2×C22⋊C411yescharacteristic
279C2×C4×C61C2×C22⋊C411yescharacteristic
280C2×C4×C61C4×D412yes—
281C2×C4×C61C4×D412yes—
282C2×C4×C61#12012yes—
283C2×C4×C61#12012yes—
284C2×C4×C61#12112yes—
285C2×C4×C61#12112yes—
286C2×C4×C61#12112yes—
287C2×C4×C61#12112yes—
288C2×C4×C61#12312yes—
289C2×C4×C61#12312yes—
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61C22×D411yescharacteristic
293C2×C4×C61C22×D411yescharacteristic
294C2×C4×C61C2×#4111yescharacteristic
295C2×C4×C61C2×#4111yescharacteristic
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—24no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61C2×C22⋊C412yes—
302C2×Dic61C2×C22⋊C412yes—
303D244—416no—
304D244—416no—
305D244—42no—
306D244—42no—
307D244—42no—
308D244—42no—
309D244—44no—
310D244—44no—
311C4×D61—22no—
312C4×D61—22no—
313C4×D61—22no—
314C4×D61—22no—
315C4×D61—22no—
316C4×D61—22no—
317C4×D61—22no—
318C4×D61—22no—
319C4×D61—24no—
320C4×D61—24no—
321C4×D61—24no—
322C4×D61—24no—
323C8×C61—24no—
324C8×C61—42no—
325#92418—24no—
326#92418—42no—
327C2×#1900—611nomaximal, Sylow
328C22×C61—21no—
329C22×C61—21no—
330C22×C61—21no—
331C22×C61—21no—
332C22×C61—24no—
333C22×C61—24no—
334C22×C61#38612yes—
335C22×C61#38612yes—
336C22×C61C2×#10012yes—
337C22×C61#41312yes—
338C22×C61C22×C22⋊C411yescharacteristic
339C22×C61C2×C4×D411yescharacteristic
340C22×C61C2×C4×D411yescharacteristic
341C2×D61—22no—
342C2×D61—28no—
343C2×D61—22no—
344C2×D61—22no—
345C2×D61—22no—
346C2×D61—22no—
347C2×D61—44no—
348C2×D61—44no—
349C2×D61—48no—
350C2×D61—44no—
351C2×D61—44no—
352C2×D61—44no—
353C2×D61—44no—
354C2×D61—88no—
355C2×D61—88no—
356C2×D61—84no—
357C2×D61—84no—
358C2×D61C2×#10014yescomplemented
359C4×C61—44no—
360C4×C61#38612yes—
361C4×C61#38612yes—
362C4×C61C2×#12011yescharacteristic
363C4×C61C2×#12111yescharacteristic
364C4×C61C2×#12111yescharacteristic
365C4×C61C2×#12311yescharacteristic
366Dic61—22no—
367Dic61—22no—
368C23×M16—611no—
369C22×#121—611no—
370C22×#100—611no—
371C22×#100—611no—
372C2×#407—611no—
373#1900—618no—
374C2×#343—611no—
375C2×#343D6111yescharacteristic, complemented
376C2×C61—21no—
377C2×C61—21no—
378C2×C61—22no—
379C2×C61#190014yescomplemented
380C2×C61C2×#38611yescharacteristic
381C2×C61C22×#10011yescharacteristic
382C2×C61C2×#41311yescharacteristic
383D61—24no—
384D61—42no—
385D61—84no—
386C23×D4—612no—
387C23×D4—611no—
388C24×C4—611no—
389C22×M16—611no—
390C22×M16—611no—
391C22×M16—614no—
392C22×M16—1221no—
393C22×M16—1224no—
394C22×M16—1222no—
395C22×M16—1224no—
396C22×M16C2×D6111yescharacteristic
397C22×M16C2×D6111yescharacteristic
398C23×C8—1221no—
399C2×#121—614no—
400C2×#121—614no—
401C2×#121—1221no—
402C2×#121—1222no—
403C2×#121—1221no—
404C2×#121—1221no—
405C2×#121—1221no—
406C2×#121—1222no—
407C22×C4⋊C4C2×D6111yescharacteristic
408C22×C22⋊C4—612no—
409C2×#100—614no—
410C2×#100—614no—
411C2×#100—1224no—
412C2×#100—1224no—
413#407—614no—
414#407—1222no—
415C2×C22⋊C8—1221no—
416C2×C22⋊C8—1221no—
417#343—614no—
418#343C2×D6114yescomplemented
419C61C2×#190011yescharacteristic, complemented, Sylow
420C25—611no—
421C25—612no—
422C22×D4—612no—
423C22×D4—618no—
424C22×D4—612no—
425C22×D4—1224no—
426C22×D4—1222no—
427C22×D4—1222no—
428C22×D4—1222no—
429C22×D4—1222no—
430C22×D4—1221no—
431C22×D4—1221no—
432C22×D4—1221no—
433C22×D4—1221no—
434C22×D4—1222no—
435C22×D4—1222no—
436C22×D4—2448no—
437C23×C4—611no—
438C23×C4—612no—
439C23×C4—611no—
440C23×C4—612no—
441C23×C4—611no—
442C23×C4—611no—
443C23×C4—611no—
444C23×C4—612no—
445C23×C4—612no—
446C23×C4—1222no—
447C23×C4—1222no—
448C23×C4—1222no—
449C23×C4—1222no—
450C23×C4C4×D6112yes—
451C23×C4C22×D6111yescharacteristic
452C2×M16—21no—
453C2×M16—22no—
454C2×M16—21no—
455C2×M16—22no—
456C2×M16—22no—
457C2×M16—614no—
458C2×M16—612no—
459C2×M16—612no—
460C2×M16—1224no—
461C2×M16—1228no—
462C2×M16—1228no—
463C2×M16—12216no—
464C2×M16—1222no—
465C2×M16—1221no—
466C2×M16—1228no—
467C2×M16—1221no—
468C2×M16—1222no—
469C2×M16—1222no—
470C2×M16D24414yescomplemented
471C2×M16C22×D6112yes—
472C2×M16C22×D6112yes—
473C22×C8—21no—
474C22×C8—21no—
475C22×C8—1224no—
476C22×C8—1228no—
477C22×C8—1221no—
478C22×C8—1221no—
479#121—1224no—
480#121—1224no—
481#121—1224no—
482#121—1224no—
483#121—1224no—
484#121—1224no—
485#121—1224no—
486#121—1224no—
487C2×C4⋊C4—21no—
488C2×C4⋊C4—21no—
489C2×C4⋊C4—21no—
490C2×C4⋊C4—21no—
491C2×C4⋊C4C4×D6112yes—
492C2×C4⋊C4C22×D6112yes—
493C2×C22⋊C4—618no—
494C2×C22⋊C4—1224no—
495C2×C22⋊C4—1222no—
496C2×C22⋊C4—1222no—
497#100—1228no—
498#100—1228no—
499C22⋊C8—1224no—
500C22⋊C8—1224no—
501C24—611no—
502C24—611no—
503C24—612no—
504C24—612no—
505C24—614no—
506C24—1224no—
507C24—1222no—
508C24—1222no—
509C24—1224no—
510C24—1224no—
511C24—1222no—
512C24—1222no—
513C24—2442no—
514C24—2444no—
515C24—2444no—
516C24C2×C4×D6111yescharacteristic
517C2×D4—1228no—
518C2×D4—1228no—
519C2×D4—1222no—
520C2×D4—1222no—
521C2×D4—1222no—
522C2×D4—1222no—
523C2×D4—1222no—
524C2×D4—1222no—
525C2×D4—1222no—
526C2×D4—1222no—
527C2×D4—1224no—
528C2×D4—1224no—
529C2×D4—2448no—
530C2×D4—24416no—
531C2×D4—2448no—
532C2×D4—24416no—
533C2×D4—2442no—
534C2×D4—2442no—
535C2×D4—2442no—
536C2×D4—2442no—
537C2×D4—2442no—
538C2×D4—2442no—
539C2×D4—2442no—
540C2×D4—2442no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—44no—
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—1224no—
564C22×C4—1222no—
565C22×C4—1224no—
566C22×C4—1222no—
567C22×C4—1222no—
568C22×C4—1222no—
569C22×C4—1224no—
570C22×C4—1222no—
571C22×C4—1222no—
572C22×C4—1224no—
573C22×C4—1222no—
574C22×C4—1224no—
575C22×C4—1222no—
576C22×C4C2×C4×D6114yes—
577C22×C4C2×C4×D6111yescharacteristic
578C22×C4C2×D24412yes—
579C22×C4#1175822212yes—
580C22×C4D4×D6111yescharacteristic
581C22×C4D4×D6111yescharacteristic
582C22×C4D4×D6111yescharacteristic
583C22×C4D4×D6111yescharacteristic
584C22×C4D4×D6112yes—
585C22×C4#1175822612yes—
586C22×C4C23×D6111yescharacteristic
587M16—22no—
588M16—24no—
589M16—22no—
590M16—22no—
591M16—42no—
592M16—614no—
593M16—12216no—
594M16—1222no—
595M16—1224no—
596M16—1222no—
597M16—1222no—
598M16—2442no—
599M16C2×D24414yescomplemented
600C2×C8—22no—
601C2×C8—24no—
602C2×C8—22no—
603C2×C8—42no—
604C2×C8—12216no—
605C2×C8—1222no—
606C2×C8—1224no—
607C2×C8—1222no—
608C2×C8—2442no—
609C4⋊C4—22no—
610C4⋊C4—22no—
611C4⋊C4—22no—
612C4⋊C4—22no—
613C22⋊C4—1228no—
614C22⋊C4—1228no—
615C23—22no—
616C23—22no—
617C23—612no—
618C23—614no—
619C23—612no—
620C23—1224no—
621C23—1224no—
622C23—1222no—
623C23—1222no—
624C23—1222no—
625C23—1222no—
626C23—1222no—
627C23—1222no—
628C23—1224no—
629C23—1222no—
630C23—1224no—
631C23—1224no—
632C23—1224no—
633C23—4888no—
634C23—4888no—
635C23—2442no—
636C23—2442no—
637C23—2448no—
638C23—2448no—
639C23—2444no—
640C23—2444no—
641C23—2444no—
642C23—2444no—
643C23—2444no—
644C23—2444no—
645C23—2444no—
646C23—2444no—
647C23C22⋊C4×D6111yescharacteristic
648C23C22⋊C4×D6111yescharacteristic
649C23#1451973912yes—
650C23C4×D24412yes—
651C23C22×C4×D6111yescharacteristic
652D4—24416no—
653D4—24416no—
654D4—2442no—
655D4—2442no—
656D4—2442no—
657D4—2442no—
658D4—2444no—
659D4—2444no—
660C2×C4—24no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—44no—
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×C4C22⋊C4×D6111yescharacteristic
684C2×C4C22⋊C4×D6111yescharacteristic
685C2×C4#1451973912yes—
686C2×C4C4×D24412yes—
687C2×C4#1451974712yes—
688C2×C4#1451974712yes—
689C2×C4#1451975012yes—
690C2×C4#1451975012yes—
691C2×C4#1451975212yes—
692C2×C4#1451975212yes—
693C2×C4#1451976212yes—
694C2×C4#1451976212yes—
695C2×C4C2×D4×D6111yescharacteristic
696C2×C4C2×D4×D6111yescharacteristic
697C2×C4C2×D4×D6111yescharacteristic
698C2×C4C22×D24411yescharacteristic
699C2×C4C2×#1175822211yescharacteristic
700C2×C4C2×#1175822611yescharacteristic
701C8—24no—
702C8—42no—
703C8—1224no—
704C8—2442no—
705C22—24no—
706C22—24no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—21no—
711C22—614no—
712C22—1222no—
713C22—1228no—
714C22—1222no—
715C22—1222no—
716C22—1222no—
717C22—1222no—
718C22—4884no—
719C22—4884no—
720C22—4888no—
721C22—4888no—
722C22—2444no—
723C22—2444no—
724C22—2448no—
725C22—2444no—
726C22—2444no—
727C22—2444no—
728C22—2444no—
729C22#1683964012yes—
730C22#1683964012yes—
731C22#100×D6112yes—
732C22#1683974512yes—
733C22C2×C22⋊C4×D6111yescharacteristic
734C22C2×#1451973911yescharacteristic
735C22C2×C4×D24411yescharacteristic
736C4—44no—
737C4—1222no—
738C4—1222no—
739C4#1683964012yes—
740C4#1683964012yes—
741C4C2×#1451974711yescharacteristic
742C4C2×#1451975011yescharacteristic
743C4C2×#1451975211yescharacteristic
744C4C2×#1451976211yescharacteristic
745C2—21no—
746C2—21no—
747C2—22no—
748C2—1224no—
749C2—4884no—
750C2—2442no—
751C2#2144628114yesdirect product factor
752C2C2×#1683964011yescharacteristic
753C2C2×#100×D6111yescharacteristic
754C2C2×#1683974511yescharacteristic
subgroupG/H
centerC23C22⋊C4×D61
commutatorC23×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#343C2
socleC23×C61C2×C22⋊C4
prime radicalC22×#14519752C2
cosocleC22×C4×C61C24
hypercenterC2×#343D61
hypocenterC61C2×#1900
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#343

Complements

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

NH ≅ G/Ntype
1. C22×M16×D61C2semidirect
3. C22×#14519693C2semidirect
4. C22×#14519693C2semidirect
5. C2×#16839725C2semidirect
6. #21446281C2direct (N × H)
7. C2×#16839531C2semidirect
8. C2×C61×#343C2semidirect
18. C2×M16×D61C22semidirect
31. C2×#14519693C22semidirect
32. C2×#14519693C22semidirect
34. #16839725C22semidirect
37. #16839531C22semidirect
41. C61×#343C22semidirect
77. C2×#11758194D4semidirect
112. C2×M16×C61D4semidirect
214. M16×C61C2×D4semidirect
230. #11758194C2×D4semidirect
271. C22×D61#100semidirect
358. C2×D61C2×#100semidirect
375. C2×#343D61semidirect
379. C2×C61#1900semidirect
418. #343C2×D61semidirect
419. C61C2×#1900semidirect
470. C2×M16D244semidirect
599. M16C2×D244semidirect
751. C2#21446281direct (N × H)

Maximal subgroups

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

subgroupindex
C22×M16×D612
C22×#145197522
C22×#145196932
C2×#168397252
#214462812
C2×#168395312
C2×C61×#3432
C2×#190061