Finite Group Databasebeta

← #29681287

Subgroups — #29681287

Order 15616.

1842 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840340C211yesmaximal, characteristic
2C2×#16839761C211yesmaximal, characteristic, complemented
3C2×#16839756C211yesmaximal, characteristic, complemented
4C2×#16839729C211yesmaximal, characteristic, complemented
5#21446141C212yesmaximal, complemented
6#21446136C212yesmaximal, complemented
7#21446131C212yesmaximal, complemented
8#21446126C212yesmaximal, complemented
9#21445540C211yesmaximal, characteristic, complemented
10C2×#16839524C211yesmaximal, characteristic, complemented
11C2×C61×#520C211yesmaximal, characteristic, complemented
12C22×#11758222C2211yescharacteristic
13C22×#11758194C2211yescharacteristic
14C23×#92418C2211yescharacteristic
15#16840340—24no—
16#16840340C418yescomplemented
17C2×#14519756C2212yes—
18C2×#14519753—21no—
19C2×#14519751C2212yes—
20C2×#14519749—22no—
21C2×#14519748—21no—
22C22×C4⋊Dic61C2211yescharacteristic
23#16839761—24no—
24#16839756—24no—
25C2×#14519700C2211yescharacteristic
26C2×#14519700C2211yescharacteristic
27C2×#14519700C2212yes—
28C2×#14519697C2211yescharacteristic
29C2×#14519697C2211yescharacteristic
30C2×#14519697C2212yes—
31#16839729—24no—
32C2×C22⋊#92418C2212yes—
33C2×C22⋊#92418C2212yes—
34#16839524C2212yes—
35#16839524C2212yes—
36#16839524C2212yes—
37#16839524C2212yes—
38C22×#41×C61C2211yescharacteristic
39C61×#520—24no—
40C61×#520—24no—
41C2×C4×Q8×C61—21no—
42C2×C4×D4×C61—21no—
43C2×C4×D4×C61—22no—
44C2×#117×C61C2212yes—
45C2×#117×C61C2211yescharacteristic
46C22×C4⋊C4×C61C2212yes—
47C22×C4⋊C4×C61C2211yescharacteristic
48C2×#11758222—22no—
49C2×#11758222—22no—
50C2×#11758222—22no—
51C2×#11758222—22no—
52C2×#11758222—22no—
53C2×#11758222C2×C414yescomplemented
54C22×Dic122C2311yescharacteristic
55C22×D244C2311yescharacteristic
56C22×C22⋊D61—21no—
57C22×C22⋊D61—22no—
58C23×Dic61—21no—
59C22×C4×D61—21no—
60C2×#11758194—22no—
61C2×#11758194—22no—
62C2×#11758194—22no—
63C22×#92418—22no—
64C22×#92418—22no—
65C22×#92418—22no—
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68C22×#92418C2312yes—
69#14519756—24no—
70#14519756C2×C418yescomplemented
71#14519753—28no—
72#14519751—24no—
73#14519751C2×C418yescomplemented
74#14519749—216no—
75#14519748—28no—
76C2×C4⋊Dic61—21no—
77C2×C4⋊Dic61—22no—
78C2×C4⋊Dic61C2×C414yescomplemented
79C2×C4⋊Dic61C2312yes—
80C2×#11758196—22no—
81C2×C22⋊Dic61—22no—
82C2×#11758198—22no—
83#14519700—22no—
84#14519700—22no—
85#14519700—24no—
86#14519697—22no—
87#14519697—22no—
88#14519697—24no—
89C22⋊#92418—24no—
90C22⋊#92418—24no—
91C2×#41×C61—22no—
92C2×#41×C61—22no—
93C2×#41×C61—22no—
94C2×#41×C61—22no—
95C2×#41×C61C2×C414yes—
96C2×#41×C61D414yes—
97C22×Q8×C61D411yescharacteristic
98C22×D4×C61D411yescharacteristic
99C22×D4×C61D412yes—
100C23×C4×C61—22no—
101C23×C4×C61—21no—
102C23×C4×C61C2312yes—
103C23×C4×C61C2311yescharacteristic
104C4×Q8×C61—28no—
105C4×D4×C61—216no—
106C4×D4×C61—28no—
107#117×C61—22no—
108#117×C61—24no—
109#117×C61—24no—
110#117×C61D414yescomplemented
111C2×C4⋊C4×C61—22no—
112C2×C4⋊C4×C61—21no—
113C2×C4⋊C4×C61—22no—
114C2×C4⋊C4×C61—24no—
115C2×C4⋊C4×C61—24no—
116C2×C4⋊C4×C61D414yescomplemented
117C2×C4⋊C4×C61C2311yescharacteristic
118C2×C4⋊C4×C61C2312yes—
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C22⋊C4×C61—22no—
121C2×C22⋊C4×C61—21no—
122C2×C42×C61—22no—
123C2×C42×C61—21no—
124C24×C61C2×D412yes—
125C24×C61C2×D411yescharacteristic
126C23×D61—21no—
127#41×C61—28no—
128#41×C61—28no—
129#41×C61—28no—
130#41×C61—28no—
131C2×Q8×C61—22no—
132C2×Q8×C61—22no—
133C2×Q8×C61C22⋊C414yes—
134C2×D4×C61—24no—
135C2×D4×C61—24no—
136C2×D4×C61—22no—
137C2×D4×C61—22no—
138C2×D4×C61C22⋊C414yes—
139C2×D4×C61C22⋊C418yes—
140C22×C4×C61—22no—
141C22×C4×C61—22no—
142C22×C4×C61—22no—
143C22×C4×C61—22no—
144C22×C4×C61—21no—
145C22×C4×C61—22no—
146C22×C4×C61—21no—
147C22×C4×C61—28no—
148C22×C4×C61—24no—
149C22×C4×C61—81no—
150C22×C4×C61—82no—
151C22×C4×C61—81no—
152C22×C4×C61—82no—
153C22×C4×C61C22×C414yes—
154C22×C4×C61C22×C412yes—
155C22×C4×C61C2×D412yes—
156C22×C4×C61C2×D414yes—
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D412yes—
159C22×C4×C61C2×D412yes—
160C22×C4×C61C2×D412yes—
161C22×C4×C61#4112yes—
162C22×C4×C61#4112yes—
163C22×C4×C61C2411yescharacteristic
164C2×C22⋊D61—24no—
165C2×C22⋊D61—28no—
166C2×C22⋊D61—42no—
167C2×C22⋊D61—42no—
168C2×C22⋊D61—82no—
169C2×C22⋊D61—82no—
170C22×Dic61—21no—
171C22×Dic61—22no—
172C22×Dic61—24no—
173C22×Dic61—81no—
174C22×Dic61—81no—
175#11758222—28no—
176#11758222—28no—
177#11758222—44no—
178#11758222—44no—
179C2×D244—21no—
180C2×D244—21no—
181C2×D244—21no—
182C2×D244—21no—
183C2×D244—21no—
184C2×D244C22×C412yes—
185C2×C4×D61—24no—
186C2×C4×D61—42no—
187C2×C4×D61—42no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122—21no—
193C2×Dic122C22×C412yes—
194C4⋊C4×C61—28no—
195C4⋊C4×C61—24no—
196C4⋊C4×C61—22no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61C2×D412yes—
200C4⋊C4×C61C2×D414yes—
201C4⋊C4×C61C2×D412yes—
202C22⋊C4×C61—28no—
203C22⋊C4×C61—24no—
204C42×C61—28no—
205C42×C61—24no—
206C22⋊Dic61—28no—
207#11758198—28no—
208C4⋊Dic61—24no—
209C4⋊Dic61—22no—
210C4⋊Dic61C22×C414yes—
211#11758196—28no—
212#11758194—44no—
213C2×#92418—21no—
214C2×#92418—21no—
215C2×#92418—22no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—22no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—22no—
222C2×#92418—44no—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—22no—
228C23×C61—22no—
229C23×C61—22no—
230C23×C61—22no—
231C23×C61—22no—
232C23×C61—22no—
233C23×C61C2×C22⋊C414yes—
234C23×C61C2×C22⋊C412yes—
235C23×C61#12012yes—
236C23×C61#12312yes—
237C23×C61C22×D411yescharacteristic
238C22×D61—22no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245Q8×C61—28no—
246D4×C61—216no—
247D4×C61—28no—
248C2×C4×C61—22no—
249C2×C4×C61—22no—
250C2×C4×C61—24no—
251C2×C4×C61—24no—
252C2×C4×C61—24no—
253C2×C4×C61—24no—
254C2×C4×C61—22no—
255C2×C4×C61—24no—
256C2×C4×C61—22no—
257C2×C4×C61—42no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—42no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—84no—
264C2×C4×C61—88no—
265C2×C4×C61C2×C22⋊C414yes—
266C2×C4×C61C2×C22⋊C412yes—
267C2×C4×C61C4×D414yes—
268C2×C4×C61C4×D414yes—
269C2×C4×C61#12012yes—
270C2×C4×C61#12114yes—
271C2×C4×C61#12114yes—
272C2×C4×C61#12312yes—
273C2×C4×C61C23×C411yescharacteristic
274C2×C4×C61C22×D411yescharacteristic
275C2×C4×C61C22×D411yescharacteristic
276C2×C4×C61C22×D411yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C22⋊D61—48no—
280C22⋊D61—88no—
281C2×Dic61—22no—
282C2×Dic61—24no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—42no—
286C2×Dic61—42no—
287C2×Dic61—84no—
288D244—22no—
289D244—22no—
290D244—41no—
291D244—41no—
292C4×D61—48no—
293Dic122—22no—
294Dic122—22no—
295Dic122—41no—
296Dic122—41no—
297#92418—41no—
298#92418—41no—
299#92418—42no—
300#20915—611nomaximal, Sylow
301C22×C61—22no—
302C22×C61—22no—
303C22×C61—22no—
304C22×C61—22no—
305C22×C61—22no—
306C22×C61—22no—
307C22×C61—24no—
308C22×C61—24no—
309C22×C61—24no—
310C22×C61—42no—
311C22×C61—42no—
312C22×C61—42no—
313C22×C61—42no—
314C22×C61#38614yes—
315C22×C61C22×C22⋊C411yescharacteristic
316C22×C61C2×#12011yescharacteristic
317C22×C61C2×#12311yescharacteristic
318C22×C61#57611yescharacteristic
319C22×C61#57711yescharacteristic
320C22×C61#57711yescharacteristic
321C22×C61#57811yescharacteristic
322C2×D61—42no—
323C2×D61—42no—
324C2×D61—42no—
325C2×D61—81no—
326C2×D61—81no—
327C2×D61—81no—
328C2×D61—81no—
329C4×C61—24no—
330C4×C61—44no—
331C4×C61—42no—
332C4×C61—42no—
333C4×C61#38614yes—
334C4×C61C2×C4×D411yescharacteristic
335C4×C61C2×C4×D411yescharacteristic
336C4×C61C2×#12111yescharacteristic
337C4×C61C2×#12111yescharacteristic
338Dic61—44no—
339Dic61—42no—
340C2×#537—611no—
341C2×#520D6111yescharacteristic, complemented
342C2×#417—611no—
343C2×#416—611no—
344C2×#408—611no—
345#1875—612no—
346#1874—612no—
347#1873—612no—
348#1872—612no—
349#1736—611no—
350C2×#340—611no—
351C2×C61—24no—
352C2×C61—44no—
353C2×C61C2×#38611yescharacteristic
354C2×C61#289711yescharacteristic
355C2×C61#289811yescharacteristic
356C2×C61#301211yescharacteristic
357C2×C61#301311yescharacteristic
358C2×C61#309811yescharacteristic
359C2×C61#309911yescharacteristic
360D61—82no—
361C22×#41—611no—
362C22×#41C2×D6111yescharacteristic
363C22×M16—611no—
364C23×C8—611no—
365#537—618no—
366#537—1224no—
367C2×C22⋊Q8—612no—
368C2×C22⋊Q8—1221no—
369C2×#121—612no—
370C2×#121—1221no—
371C2×#121—1222no—
372#520—24no—
373#520—24no—
374C2×C4×Q8—21no—
375C2×C4×D4—22no—
376C2×C4×D4—21no—
377C2×#117C2×D6112yes—
378C2×#117C2×D6111yescharacteristic
379C22×C4⋊C4—611no—
380C22×C4⋊C4C2×D6112yes—
381C22×C4⋊C4C2×D6111yescharacteristic
382#417—1224no—
383#416—1224no—
384C2×#103—611no—
385C2×#103—611no—
386C2×#103—612no—
387C2×#102—611no—
388C2×#102—611no—
389C2×#102—612no—
390#408—1224no—
391C2×C22⋊C8—612no—
392C2×C22⋊C8—612no—
393#340—612no—
394#340—612no—
395#340—612no—
396#340—612no—
397C61#2091511yescharacteristic, complemented, Sylow
398C2×#41—22no—
399C2×#41—22no—
400C2×#41—22no—
401C2×#41—22no—
402C2×#41—614no—
403C2×#41—1222no—
404C2×#41—1222no—
405C2×#41—1222no—
406C2×#41—1222no—
407C2×#41—1222no—
408C2×#41C4×D6114yes—
409C2×#41D24414yes—
410C22×Q8—611no—
411C22×Q8C22⋊D6111yescharacteristic
412C22×D4—611no—
413C22×D4—1222no—
414C22×D4—1221no—
415C22×D4C22⋊D6112yes—
416C22×D4C22⋊D6111yescharacteristic
417C23×C4—22no—
418C23×C4—21no—
419C23×C4—1221no—
420C23×C4—1221no—
421C23×C4C22×D6112yes—
422C23×C4C22×D6111yescharacteristic
423C2×M16—1222no—
424C2×M16—1222no—
425C2×M16—1222no—
426C22×C8—611no—
427C22×C8—611no—
428C22×C8—612no—
429C22×C8—1222no—
430C22×C8—1222no—
431C22×C8—1222no—
432C22⋊Q8—618no—
433C22⋊Q8—1228no—
434C22⋊Q8—1224no—
435#121—618no—
436#121—1228no—
437#121—12216no—
438#121—1224no—
439C4×Q8—28no—
440C4×D4—216no—
441C4×D4—28no—
442#117—22no—
443#117—24no—
444#117—24no—
445#117C22⋊D6114yescomplemented
446C2×C4⋊C4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—22no—
449C2×C4⋊C4—24no—
450C2×C4⋊C4—24no—
451C2×C4⋊C4—614no—
452C2×C4⋊C4—612no—
453C2×C4⋊C4—1222no—
454C2×C4⋊C4—1221no—
455C2×C4⋊C4—1222no—
456C2×C4⋊C4C22⋊D6114yescomplemented
457C2×C4⋊C4C22×D6111yescharacteristic
458C2×C4⋊C4C22×D6112yes—
459C2×C4⋊C4C22×D6111yescharacteristic
460C2×C22⋊C4—22no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—1222no—
463C2×C22⋊C4—1222no—
464C2×C42—22no—
465C2×C42—21no—
466#103—1222no—
467#103—1222no—
468#103—1224no—
469#102—1222no—
470#102—1222no—
471#102—1224no—
472C22⋊C8—1224no—
473C22⋊C8—1224no—
474C24—1221no—
475C24C2×C22⋊D6112yes—
476C24C2×C22⋊D6111yescharacteristic
477#41—28no—
478#41—28no—
479#41—28no—
480#41—28no—
481#41—1228no—
482#41—1228no—
483#41—2444no—
484#41—2444no—
485C2×Q8—22no—
486C2×Q8—22no—
487C2×Q8—612no—
488C2×Q8—1221no—
489C2×Q8—1221no—
490C2×Q8—1221no—
491C2×Q8—1221no—
492C2×Q8—1221no—
493C2×Q8#1175819814yes—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—612no—
499C2×D4—1228no—
500C2×D4—1224no—
501C2×D4—1221no—
502C2×D4—1221no—
503C2×D4—1221no—
504C2×D4—1221no—
505C2×D4—1221no—
506C2×D4—4882no—
507C2×D4—4882no—
508C2×D4—2442no—
509C2×D4—2442no—
510C2×D4#1175819818yes—
511C2×D4#1175819814yes—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—28no—
520C22×C4—24no—
521C22×C4—81no—
522C22×C4—82no—
523C22×C4—81no—
524C22×C4—82no—
525C22×C4—1224no—
526C22×C4—1222no—
527C22×C4—1221no—
528C22×C4—1224no—
529C22×C4—4881no—
530C22×C4—4881no—
531C22×C4—2442no—
532C22×C4—2442no—
533C22×C4C2×C4×D6114yes—
534C22×C4C2×C4×D6112yes—
535C22×C4C2×D24414yes—
536C22×C4C2×D24412yes—
537C22×C4#1175822212yes—
538C22×C4#1175822212yes—
539C22×C4C2×C22⋊D6112yes—
540C22×C4C2×C22⋊D6112yes—
541C22×C4C2×C22⋊D6112yes—
542C22×C4C2×C22⋊D6111yescharacteristic
543C22×C4C23×D6111yescharacteristic
544M16—2444no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1222no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1222no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1222no—
554C2×C8—2444no—
555C4⋊C4—28no—
556C4⋊C4—22no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—24no—
560C4⋊C4—614no—
561C4⋊C4—1222no—
562C4⋊C4—1224no—
563C4⋊C4—1228no—
564C4⋊C4C2×C22⋊D6112yes—
565C4⋊C4C2×C22⋊D6114yes—
566C4⋊C4C2×C22⋊D6112yes—
567C22⋊C4—28no—
568C22⋊C4—24no—
569C22⋊C4—1228no—
570C22⋊C4—1228no—
571C42—28no—
572C42—24no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—1222no—
584C23—2441no—
585C23—2441no—
586C23—2441no—
587C23—2441no—
588C23—2441no—
589C23—2441no—
590C23C2×#1175819814yes—
591C23C2×#1175819812yes—
592C23#1451974612yes—
593C23#1451976012yes—
594C23C22×C22⋊D6111yescharacteristic
595Q8—28no—
596Q8—1222no—
597Q8—1222no—
598Q8—2441no—
599Q8—2441no—
600D4—216no—
601D4—28no—
602D4—1222no—
603D4—1222no—
604D4—4888no—
605D4—2448no—
606D4—2441no—
607D4—2441no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—42no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—42no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—84no—
624C2×C4—88no—
625C2×C4—1224no—
626C2×C4—1222no—
627C2×C4—4884no—
628C2×C4—2441no—
629C2×C4—2441no—
630C2×C4—2442no—
631C2×C4—2442no—
632C2×C4—2448no—
633C2×C4C2×#1175819814yes—
634C2×C4C2×#1175819812yes—
635C2×C4C4×C22⋊D6114yes—
636C2×C4C4×C22⋊D6114yes—
637C2×C4#1451974612yes—
638C2×C4#1451975114yes—
639C2×C4#1451975114yes—
640C2×C4#1451976012yes—
641C2×C4C22×C4×D6111yescharacteristic
642C2×C4C22×C22⋊D6111yescharacteristic
643C2×C4C22×C22⋊D6111yescharacteristic
644C2×C4C22×D24411yescharacteristic
645C2×C4C2×#1175822211yescharacteristic
646C2×C4C2×#1175822211yescharacteristic
647C8—2441no—
648C8—2441no—
649C8—2442no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—22no—
656C22—24no—
657C22—24no—
658C22—24no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22—4881no—
664C22—4881no—
665C22—4881no—
666C22—4881no—
667C22—2442no—
668C22—2442no—
669C22—2442no—
670C22#1683964114yes—
671C22C22×#1175819811yescharacteristic
672C22C2×#1451974611yescharacteristic
673C22C2×#1451976011yescharacteristic
674C22#1684056511yescharacteristic
675C22#1684057011yescharacteristic
676C22#1684057311yescharacteristic
677C22#1684057711yescharacteristic
678C4—24no—
679C4—44no—
680C4—42no—
681C4—42no—
682C4—2444no—
683C4—2442no—
684C4#1683964114yes—
685C4C2×C4×C22⋊D6111yescharacteristic
686C4C2×C4×C22⋊D6111yescharacteristic
687C4C2×#1451975111yescharacteristic
688C4C2×#1451975111yescharacteristic
689C2—24no—
690C2—44no—
691C2—4882no—
692C2C2×#1683964111yescharacteristic
693C2#2145434211yescharacteristic
694C2#2145434911yescharacteristic
695C2#2145512311yescharacteristic
696C2#2145513411yescharacteristic
697C2#2145579711yescharacteristic
698C2#2145580811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#520C2
socleC23×C61C22×D4
prime radicalC2×#16840340C2
cosocleC22×C4×C61C24
hypercenterC2×#520D61
hypocenterC61#20915
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C22×#41 ◁ C2×#520

Complements

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

NH ≅ G/Ntype
2. C2×#16839761C2semidirect
3. C2×#16839756C2semidirect
4. C2×#16839729C2semidirect
5. #21446141C2semidirect
6. #21446136C2semidirect
7. #21446131C2semidirect
8. #21446126C2semidirect
9. #21445540C2semidirect
10. C2×#16839524C2semidirect
11. C2×C61×#520C2semidirect
16. #16840340C4semidirect
53. C2×#11758222C2×C4semidirect
70. #14519756C2×C4semidirect
73. #14519751C2×C4semidirect
78. C2×C4⋊Dic61C2×C4semidirect
110. #117×C61D4semidirect
116. C2×C4⋊C4×C61D4semidirect
341. C2×#520D61semidirect
397. C61#20915semidirect
445. #117C22⋊D61semidirect
456. C2×C4⋊C4C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403402
C2×#168397612
C2×#168397562
C2×#168397292
#214461412
#214461362
#214461312
#214461262
#214455402
C2×#168395242
C2×C61×#5202
#2091561