Finite Group Databasebeta

← C2×#21444346 #29647242

Subgroups — C2×#21444346 #29647242

Order 15616.

1790 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#121×D61C211yesmaximal, characteristic
2C2×#16839724C211yesmaximal, characteristic, complemented
3C2×#16839624C211yesmaximal, characteristic, complemented
4#21444346C218yesmaximal, direct product factor
5C2×#16839497C211yesmaximal, characteristic, complemented
6C2×#16839496C211yesmaximal, characteristic, complemented
7C2×#16839495C211yesmaximal, characteristic, complemented
8C2×C61×#327C211yesmaximal, characteristic, complemented
9C22×D4×D61—21no—
10C22×D4×D61C411yescharacteristic, complemented
11C23×C4×D61C2211yescharacteristic
12C22×#11758189—21no—
13C2×#14519752C411yescharacteristic, complemented
14C2×#14519751C2211yescharacteristic
15C2×#14519750—21no—
16C2×#14519749—21no—
17C2×#14519748C411yescharacteristic, complemented
18#121×D61—22no—
19#121×D61—22no—
20#121×D61C414yescomplemented
21#121×D61C2214yes—
22C2×C4⋊C4×D61C411yescharacteristic, complemented
23C22×#11758198—21no—
24C2×C22⋊C4×D61—21no—
25#16839724—22no—
26#16839724C2214yescomplemented
27C2×C22⋊#92418C2211yescharacteristic, complemented
28C2×#14519689—21no—
29#16839624—22no—
30#16839624C2214yescomplemented
31C2×#14519684—21no—
32C2×#14519684C2211yescharacteristic, complemented
33#16839497C2214yescomplemented
34#16839496C2214yescomplemented
35#16839495C2214yescomplemented
36C2×#121×C61C2211yescharacteristic
37C2×C22⋊C8×C61C2211yescharacteristic, complemented
38C2×#95×C61C2211yescharacteristic, complemented
39C61×#327C2214yescomplemented
40C24×D61—21no—
41C24×D61D411yescharacteristic
42C22×D244—21no—
43C22×D244C2×C411yescharacteristic
44C22×C22⋊D61—21no—
45C22×C22⋊D61—21no—
46C22×C22⋊D61—21no—
47C2×D4×D61—24no—
48C2×D4×D61—24no—
49C2×D4×D61—22no—
50C2×D4×D61—44no—
51C2×D4×D61—44no—
52C2×D4×D61—44no—
53C2×D4×D61C2×C414yescomplemented
54C23×Dic61—21no—
55C23×Dic61D411yescharacteristic
56C22×C4×D61—21no—
57C22×C4×D61—44no—
58C22×C4×D61C2×C411yescharacteristic
59C22×C4×D61C2×C412yes—
60C22×C4×D61C2×C411yescharacteristic
61C22×C4×D61D411yescharacteristic
62C22×C4×D61D412yes—
63C22×C4×D61D411yescharacteristic
64C22×C4×D61D412yes—
65C22×C4×D61C2312yes—
66C2×#11758189—24no—
67C2×#11758189—44no—
68C22×#92418—21no—
69#14519752—22no—
70#14519752C2×C414yescomplemented
71#14519751—21no—
72#14519751—21no—
73#14519751C2×C412yes—
74#14519751C2312yes—
75#14519750—24no—
76#14519750—24no—
77#14519749—24no—
78#14519749—24no—
79#14519748—22no—
80#14519748C2×C414yescomplemented
81C2×C4⋊Dic61C2×C411yescharacteristic
82C2×#11758196—21no—
83C4⋊C4×D61—22no—
84C4⋊C4×D61C2×C414yescomplemented
85C2×C22⋊Dic61—21no—
86C2×#11758198—21no—
87C2×#11758198—21no—
88C2×#11758198—24no—
89C2×#11758198—44no—
90C22⋊C4×D61—24no—
91C22⋊C4×D61—24no—
92C22⋊#92418—21no—
93C22⋊#92418C2312yescomplemented
94#14519689—24no—
95#14519684—21no—
96#14519684—24no—
97#14519684C2312yescomplemented
98C22×D4×C61—21no—
99C22×D4×C61C2×C411yescharacteristic
100C23×C4×C61—21no—
101C23×C4×C61C2311yescharacteristic
102C22×C8×C61—21no—
103#121×C61—21no—
104#121×C61—21no—
105#121×C61C2×C412yes—
106#121×C61C2312yes—
107C2×C4⋊C4×C61C2×C411yescharacteristic
108C2×C22⋊C4×C61—21no—
109C22⋊C8×C61—21no—
110C22⋊C8×C61C2312yescomplemented
111#95×C61—21no—
112#95×C61C2312yescomplemented
113C24×C61—21no—
114C24×C61C2×D411yescharacteristic
115C23×D61—22no—
116C23×D61—22no—
117C23×D61—24no—
118C23×D61—21no—
119C23×D61—24no—
120C23×D61—42no—
121C23×D61—44no—
122C23×D61—44no—
123C23×D61—44no—
124C23×D61C22⋊C411yescharacteristic
125C23×D61C22⋊C412yes—
126C23×D61C22⋊C411yescharacteristic
127C23×D61C2×D412yes—
128C2×D4×C61—22no—
129C2×D4×C61—22no—
130C2×D4×C61—21no—
131C2×D4×C61—42no—
132C2×D4×C61—42no—
133C2×D4×C61—42no—
134C2×D4×C61C22×C412yes—
135C22×C4×C61—21no—
136C22×C4×C61—22no—
137C22×C4×C61—42no—
138C22×C4×C61—42no—
139C22×C4×C61—42no—
140C22×C4×C61—42no—
141C22×C4×C61C22×C411yescharacteristic
142C22×C4×C61C22×C411yescharacteristic
143C22×C4×C61C2×D411yescharacteristic
144C22×C4×C61C2×D411yescharacteristic
145C22×C4×C61C2×D411yescharacteristic
146C22×C4×C61C2411yescharacteristic
147C2×C22⋊D61—22no—
148C2×C22⋊D61—22no—
149C2×C22⋊D61—24no—
150C2×C22⋊D61—24no—
151C2×C22⋊D61—44no—
152C2×C22⋊D61—44no—
153C2×C22⋊D61—42no—
154C2×C22⋊D61—42no—
155C22×Dic61—21no—
156C22×Dic61—22no—
157C22×Dic61—42no—
158C22×Dic61—42no—
159C22×Dic61—42no—
160C22×Dic61—42no—
161C22×Dic61C22⋊C411yescharacteristic
162C22×Dic61C22⋊C411yescharacteristic
163C22×Dic61C22⋊C412yes—
164C22×Dic61C2×D412yes—
165D4×D61—48no—
166D4×D61—48no—
167D4×D61—48no—
168D4×D61—48no—
169D4×D61—416no—
170C2×D244—24no—
171C2×D244—21no—
172C2×D244—42no—
173C2×D244—44no—
174C2×D244C22×C412yes—
175C2×C4×D61—24no—
176C2×C4×D61—24no—
177C2×C4×D61—24no—
178C2×C4×D61—44no—
179C2×C4×D61—44no—
180C2×C4×D61—44no—
181C2×C4×D61—44no—
182C2×C4×D61—42no—
183C2×C4×D61—42no—
184C2×C4×D61—44no—
185C2×C4×D61C22⋊C412yes—
186C2×C4×D61C22⋊C412yes—
187C2×C4×D61C22⋊C412yes—
188C2×C4×D61C22⋊C412yes—
189C2×C4×D61C22×C412yes—
190C2×C4×D61C22×C412yes—
191C2×C4×D61C2×D412yes—
192C2×C4×D61C2×D412yes—
193C2×C8×C61—22no—
194C2×C8×C61—42no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61C22×C412yes—
197C22⋊C4×C61—22no—
198C22⋊C4×C61—22no—
199C22⋊Dic61—24no—
200#11758198—22no—
201#11758198—22no—
202#11758198—24no—
203#11758198—48no—
204C4⋊Dic61—21no—
205C4⋊Dic61C22×C412yes—
206#11758196—24no—
207C2×#92418—22no—
208C2×#92418—42no—
209#11758189—48no—
210C23×C61—22no—
211C23×C61—22no—
212C23×C61—22no—
213C23×C61—42no—
214C23×C61—42no—
215C23×C61—42no—
216C23×C61C2×C22⋊C411yescharacteristic
217C23×C61C2×C22⋊C411yescharacteristic
218C23×C61AGL(1,ℤ/8)12yes—
219C23×C61AGL(1,ℤ/8)12yes—
220C23×C61C22×D411yescharacteristic
221C22×D61—22no—
222C22×D61—22no—
223C22×D61—22no—
224C22×D61—22no—
225C22×D61—22no—
226C22×D61—22no—
227C22×D61—24no—
228C22×D61—22no—
229C22×D61—24no—
230C22×D61—24no—
231C22×D61—22no—
232C22×D61—42no—
233C22×D61—42no—
234C22×D61—48no—
235C22×D61—48no—
236C22×D61—48no—
237C22×D61—48no—
238C22×D61—42no—
239C22×D61—42no—
240C22×D61—42no—
241C22×D61—48no—
242C22×D61—816no—
243C22×D61#9914yes—
244C22×D61C2×C22⋊C412yes—
245C22×D61C2×C22⋊C412yes—
246D4×C61—42no—
247D4×C61—42no—
248D4×C61—42no—
249D4×C61—42no—
250D4×C61—44no—
251C2×C4×C61—22no—
252C2×C4×C61—22no—
253C2×C4×C61—22no—
254C2×C4×C61—41no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—42no—
259C2×C4×C61—42no—
260C2×C4×C61—42no—
261C2×C4×C61—42no—
262C2×C4×C61—84no—
263C2×C4×C61C2×C22⋊C411yescharacteristic
264C2×C4×C61C2×C22⋊C411yescharacteristic
265C2×C4×C61C23×C411yescharacteristic
266C2×C4×C61C22×D411yescharacteristic
267C22⋊D61—48no—
268C22⋊D61—48no—
269C22⋊D61—42no—
270C22⋊D61—42no—
271C22⋊D61—44no—
272C2×Dic61—22no—
273C2×Dic61—22no—
274C2×Dic61—22no—
275C2×Dic61—42no—
276C2×Dic61—42no—
277C2×Dic61—42no—
278C2×Dic61—42no—
279C2×Dic61—42no—
280C2×Dic61—42no—
281C2×Dic61—84no—
282C2×Dic61C2×C22⋊C412yes—
283C2×Dic61C2×C22⋊C412yes—
284D244—42no—
285D244—42no—
286D244—48no—
287C4×D61—24no—
288C4×D61—24no—
289C4×D61—24no—
290C4×D61—24no—
291C4×D61—42no—
292C4×D61—42no—
293C4×D61—42no—
294C4×D61—42no—
295C4×D61—48no—
296C8×C61—42no—
297#92418—42no—
298C2×#1510—611nomaximal, Sylow
299C22×C61—21no—
300C22×C61—21no—
301C22×C61—21no—
302C22×C61—21no—
303C22×C61—24no—
304C22×C61—24no—
305C22×C61—42no—
306C22×C61—42no—
307C22×C61—42no—
308C22×C61—84no—
309C22×C61C2×#9912yes—
310C22×C61#41812yes—
311C22×C61#41812yes—
312C22×C61#42112yes—
313C22×C61C22×C22⋊C411yescharacteristic
314C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
315C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
316C2×D61—22no—
317C2×D61—22no—
318C2×D61—28no—
319C2×D61—22no—
320C2×D61—22no—
321C2×D61—22no—
322C2×D61—44no—
323C2×D61—44no—
324C2×D61—48no—
325C2×D61—44no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61—42no—
329C2×D61—816no—
330C2×D61—84no—
331C2×D61C2×#9914yes—
332C4×C61—21no—
333C4×C61—21no—
334C4×C61—21no—
335C4×C61—21no—
336C4×C61—42no—
337C4×C61—82no—
338Dic61—22no—
339Dic61—22no—
340Dic61—42no—
341Dic61—82no—
342C22×#121—611no—
343C2×#407—611no—
344C2×#381—611no—
345#1510—618no—
346C2×#327—611no—
347C2×#327—611no—
348C2×#327—611no—
349C2×#327D6111yescharacteristic, complemented
350C2×C61—21no—
351C2×C61—21no—
352C2×C61—22no—
353C2×C61—82no—
354C2×C61#151014yescomplemented
355C2×C61C22×#9911yescharacteristic
356C2×C61C2×#41811yescharacteristic
357C2×C61C2×#42111yescharacteristic
358D61—24no—
359D61—42no—
360D61—82no—
361C23×D4—611no—
362C23×D4—1221no—
363C24×C4—611no—
364C22×M16—1221no—
365C2×#121—611no—
366C2×#121—611no—
367C2×#121—614no—
368C2×#121—614no—
369C2×#121—611no—
370C2×#121—1221no—
371C2×#121—1222no—
372C2×#121—1222no—
373C2×#121—1221no—
374C2×#121C2×D6111yescharacteristic
375C22×C4⋊C4—611no—
376C22×C22⋊C4—1221no—
377C22×C22⋊C4—1221no—
378#407—614no—
379#407—1222no—
380C2×C22⋊C8—611no—
381C2×C22⋊C8—1221no—
382C2×C22⋊C8C2×D6111yescharacteristic, complemented
383#381—614no—
384#381—1222no—
385C2×#95—611no—
386C2×#95—1221no—
387C2×#95C2×D6111yescharacteristic, complemented
388#327—614no—
389#327—614no—
390#327—614no—
391#327C2×D6114yescomplemented
392C61C2×#151011yescharacteristic, complemented, Sylow
393C25—611no—
394C25—1221no—
395C22×D4—21no—
396C22×D4—614no—
397C22×D4—611no—
398C22×D4—1221no—
399C22×D4—1222no—
400C22×D4—1221no—
401C22×D4—1224no—
402C22×D4—1224no—
403C22×D4—1221no—
404C22×D4—1221no—
405C22×D4—2444no—
406C22×D4—2444no—
407C22×D4—2444no—
408C22×D4C4×D6111yescharacteristic
409C23×C4—21no—
410C23×C4—611no—
411C23×C4—611no—
412C23×C4—611no—
413C23×C4—611no—
414C23×C4—612no—
415C23×C4—612no—
416C23×C4—611no—
417C23×C4—612no—
418C23×C4—612no—
419C23×C4—1221no—
420C23×C4—1221no—
421C23×C4—2444no—
422C23×C4C22×D6111yescharacteristic
423C2×M16—1224no—
424C2×M16—2444no—
425C22×C8—21no—
426C22×C8—1221no—
427#121—21no—
428#121—21no—
429#121—614no—
430#121—612no—
431#121—612no—
432#121—614no—
433#121—1224no—
434#121—1224no—
435#121—1222no—
436#121—1222no—
437#121—1224no—
438#121—1224no—
439#121—1221no—
440#121—1221no—
441#121C4×D6112yes—
442#121C22×D6112yes—
443C2×C4⋊C4—611no—
444C2×C4⋊C4—614no—
445C2×C4⋊C4—1222no—
446C2×C4⋊C4—1221no—
447C2×C4⋊C4C4×D6111yescharacteristic
448C2×C22⋊C4—21no—
449C2×C22⋊C4—1224no—
450C2×C22⋊C4—1224no—
451C2×C22⋊C4—1221no—
452C2×C22⋊C4—1221no—
453C2×C22⋊C4—1221no—
454C2×C22⋊C4—1224no—
455C2×C22⋊C4—2444no—
456C22⋊C8—21no—
457C22⋊C8—612no—
458C22⋊C8—1224no—
459C22⋊C8—1221no—
460C22⋊C8C22×D6112yescomplemented
461#95—21no—
462#95—612no—
463#95—1224no—
464#95—1221no—
465#95C22×D6112yescomplemented
466C24—21no—
467C24—611no—
468C24—611no—
469C24—612no—
470C24—612no—
471C24—1224no—
472C24—1224no—
473C24—1222no—
474C24—1222no—
475C24—1221no—
476C24—2442no—
477C24—2444no—
478C24—2444no—
479C24—2444no—
480C24D4×D6111yescharacteristic
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—21no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—612no—
488C2×D4—1224no—
489C2×D4—1224no—
490C2×D4—1224no—
491C2×D4—1222no—
492C2×D4—1222no—
493C2×D4—1221no—
494C2×D4—2442no—
495C2×D4—2444no—
496C2×D4—2448no—
497C2×D4—2448no—
498C2×D4—2444no—
499C2×D4—24416no—
500C2×D4—2448no—
501C2×D4—2448no—
502C2×D4—2444no—
503C2×D4—2442no—
504C2×D4—2442no—
505C2×D4C2×C4×D6112yes—
506C22×C4—21no—
507C22×C4—22no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—611no—
513C22×C4—611no—
514C22×C4—612no—
515C22×C4—612no—
516C22×C4—612no—
517C22×C4—612no—
518C22×C4—612no—
519C22×C4—612no—
520C22×C4—612no—
521C22×C4—612no—
522C22×C4—612no—
523C22×C4—612no—
524C22×C4—1224no—
525C22×C4—1224no—
526C22×C4—1224no—
527C22×C4—1221no—
528C22×C4—1222no—
529C22×C4—2442no—
530C22×C4—2442no—
531C22×C4—2444no—
532C22×C4—2444no—
533C22×C4—2444no—
534C22×C4—2444no—
535C22×C4—2444no—
536C22×C4—2442no—
537C22×C4—2442no—
538C22×C4—2442no—
539C22×C4—2442no—
540C22×C4C2×C4×D6111yescharacteristic
541C22×C4C2×C4×D6111yescharacteristic
542C22×C4D4×D6111yescharacteristic
543C22×C4D4×D6111yescharacteristic
544C22×C4D4×D6111yescharacteristic
545C22×C4C23×D6111yescharacteristic
546M16—2448no—
547C2×C8—22no—
548C2×C8—42no—
549C2×C8—1222no—
550C2×C8—2442no—
551C4⋊C4—21no—
552C4⋊C4—612no—
553C4⋊C4—1224no—
554C4⋊C4—1221no—
555C4⋊C4C2×C4×D6112yes—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—1224no—
559C22⋊C4—1224no—
560C22⋊C4—1222no—
561C22⋊C4—1222no—
562C22⋊C4—2448no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—612no—
570C23—614no—
571C23—612no—
572C23—1224no—
573C23—1224no—
574C23—1222no—
575C23—1222no—
576C23—1222no—
577C23—1224no—
578C23—1222no—
579C23—1222no—
580C23—1222no—
581C23—1222no—
582C23—1222no—
583C23—48816no—
584C23—2442no—
585C23—2442no—
586C23—2448no—
587C23—2448no—
588C23—2448no—
589C23—2448no—
590C23—2448no—
591C23—2442no—
592C23—2442no—
593C23—2442no—
594C23C22⋊C4×D6111yescharacteristic
595C23C22⋊C4×D6111yescharacteristic
596C23#1451980112yes—
597C23#1451980412yes—
598C23C2×D4×D6111yescharacteristic
599D4—42no—
600D4—42no—
601D4—44no—
602D4—42no—
603D4—42no—
604D4—2442no—
605D4—2442no—
606D4—2448no—
607D4—2448no—
608D4—2448no—
609D4—2444no—
610D4—2442no—
611D4—2442no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—84no—
624C2×C4—612no—
625C2×C4—612no—
626C2×C4—1224no—
627C2×C4—1224no—
628C2×C4—1224no—
629C2×C4—1224no—
630C2×C4—1222no—
631C2×C4—1222no—
632C2×C4—1222no—
633C2×C4—4884no—
634C2×C4—2442no—
635C2×C4—2442no—
636C2×C4—2442no—
637C2×C4—2442no—
638C2×C4—2448no—
639C2×C4—2442no—
640C2×C4—2442no—
641C2×C4—2442no—
642C2×C4—2442no—
643C2×C4—2442no—
644C2×C4—2442no—
645C2×C4C22⋊C4×D6111yescharacteristic
646C2×C4C22⋊C4×D6111yescharacteristic
647C2×C4C22×C4×D6111yescharacteristic
648C2×C4C2×D4×D6111yescharacteristic
649C8—42no—
650C8—2442no—
651C22—21no—
652C22—21no—
653C22—21no—
654C22—21no—
655C22—24no—
656C22—24no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—84no—
661C22—614no—
662C22—1222no—
663C22—1222no—
664C22—1228no—
665C22—1222no—
666C22—1222no—
667C22—1222no—
668C22—48816no—
669C22—4884no—
670C22—2444no—
671C22—2444no—
672C22—2448no—
673C22—2442no—
674C22—2442no—
675C22—2442no—
676C22—2444no—
677C22#99×D6112yes—
678C22#1683976512yes—
679C22#1683976512yes—
680C22#1683977712yes—
681C22C2×C22⋊C4×D6111yescharacteristic
682C22C2×#1451980111yescharacteristic
683C22C2×#1451980411yescharacteristic
684C4—21no—
685C4—21no—
686C4—21no—
687C4—21no—
688C4—42no—
689C4—82no—
690C4—1222no—
691C4—1222no—
692C4—4882no—
693C4—2442no—
694C2—21no—
695C2—21no—
696C2—22no—
697C2—82no—
698C2—1224no—
699C2—4882no—
700C2—2442no—
701C2#2144434614yesdirect product factor
702C2C2×#99×D6111yescharacteristic
703C2C2×#1683976511yescharacteristic
704C2C2×#1683977711yescharacteristic
subgroupG/H
centerC23C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#327C2
socleC23×C61C2×C22⋊C4
prime radicalC2×#121×D61C2
cosocleC22×C4×C61C24
hypercenterC2×#327D61
hypocenterC61C2×#1510
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#327

Complements

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

NH ≅ G/Ntype
2. C2×#16839724C2semidirect
3. C2×#16839624C2semidirect
4. #21444346C2direct (N × H)
5. C2×#16839497C2semidirect
6. C2×#16839496C2semidirect
7. C2×#16839495C2semidirect
8. C2×C61×#327C2semidirect
10. C22×D4×D61C4semidirect
13. C2×#14519752C4semidirect
17. C2×#14519748C4semidirect
20. #121×D61C4semidirect
22. C2×C4⋊C4×D61C4semidirect
26. #16839724C22semidirect
27. C2×C22⋊#92418C22semidirect
30. #16839624C22semidirect
32. C2×#14519684C22semidirect
33. #16839497C22semidirect
34. #16839496C22semidirect
35. #16839495C22semidirect
37. C2×C22⋊C8×C61C22semidirect
38. C2×#95×C61C22semidirect
39. C61×#327C22semidirect
53. C2×D4×D61C2×C4semidirect
70. #14519752C2×C4semidirect
80. #14519748C2×C4semidirect
84. C4⋊C4×D61C2×C4semidirect
93. C22⋊#92418C23semidirect
97. #14519684C23semidirect
110. C22⋊C8×C61C23semidirect
112. #95×C61C23semidirect
349. C2×#327D61semidirect
354. C2×C61#1510semidirect
382. C2×C22⋊C8C2×D61semidirect
387. C2×#95C2×D61semidirect
391. #327C2×D61semidirect
392. C61C2×#1510semidirect
460. C22⋊C8C22×D61semidirect
465. #95C22×D61semidirect
701. C2#21444346direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#121×D612
C2×#168397242
C2×#168396242
#214443462
C2×#168394972
C2×#168394962
C2×#168394952
C2×C61×#3272
C2×#151061