Finite Group Databasebeta

← #29840971

Subgroups — #29840971

Order 15616.

2834 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840237C211yesmaximal, characteristic
2#21448757C214yesmaximal, complemented
3#21448746C214yesmaximal, complemented
4#21448681C214yesmaximal, complemented
5#21448670C214yesmaximal, complemented
6#21448445C214yesmaximal, complemented
7#21448431C211yesmaximal, characteristic, complemented
8#21448259C214yesmaximal, complemented
9C2×#16839642C211yesmaximal, characteristic
10C2×#16839634C211yesmaximal, characteristic, complemented
11#21448172C211yesmaximal, characteristic, complemented
12C2×C22⋊C4×Dic61C211yesmaximal, characteristic, complemented
13C61×#2308C211yesmaximal, characteristic
14C24×Dic61C2211yescharacteristic
15#16840237C4116yescomplemented
16C2×D4×Dic61C2214yes—
17C2×D4×Dic61C2214yes—
18C2×#14519736C2212yes—
19C2×#14519733C2214yescomplemented
20C22×#11758196C2212yescomplemented
21C22×C22⋊Dic61C2211yescharacteristic
22C22×C22⋊Dic61C2212yes—
23C22×C22⋊Dic61C2211yescharacteristic
24C22×C22⋊Dic61C2211yescharacteristic
25C22×C22⋊Dic61C2212yes—
26C22×C4×Dic61C2212yescomplemented
27#16839656C2214yescomplemented
28#16839656C2214yescomplemented
29#16839650C2214yescomplemented
30#16839650C2214yescomplemented
31#16839647C2214yescomplemented
32#16839647C2214yescomplemented
33#16839645C2214yescomplemented
34#16839645C2214yescomplemented
35#16839642C2214yes—
36#16839642C2212yes—
37#16839642C2212yes—
38#16839635C2214yescomplemented
39#16839634C2214yes—
40#16839634C2214yes—
41#16839634C2212yescomplemented
42#16839634C2212yescomplemented
43#16839629C2214yescomplemented
44#16839626C2214yescomplemented
45#16839623C2214yescomplemented
46#16839620C2214yescomplemented
47#16839620C2214yescomplemented
48#16839613C2214yescomplemented
49C22⋊C4×Dic61C2214yes—
50C22⋊C4×Dic61C2214yes—
51C22⋊C4×Dic61C2214yescomplemented
52C22⋊C4×Dic61C2214yescomplemented
53C22⋊C4×Dic61C2214yescomplemented
54C4×C22⋊Dic61C2212yescomplemented
55C4×C22⋊Dic61C2212yescomplemented
56#16839607C2214yescomplemented
57C2×#14519684C2212yes—
58C2×#14519684C2212yescomplemented
59C2×#14519684C2212yescomplemented
60C23×D4×C61C2211yescharacteristic
61C22×C22⋊C4×C61C2211yescharacteristic
62C22×C22⋊C4×C61C2211yescharacteristic
63C61×#386C2212yes—
64C61×#386C2212yes—
65C61×#386C2214yes—
66C61×#381C2212yes—
67C61×#379C2212yes—
68C23×Dic61—24no—
69C23×Dic61—44no—
70C23×Dic61C2311yescharacteristic
71C23×Dic61C2312yes—
72C23×Dic61C2312yes—
73C23×Dic61C2312yes—
74C23×Dic61C2311yescharacteristic
75C23×Dic61C2312yes—
76C23×Dic61C2312yes—
77C23×Dic61C2314yes—
78D4×Dic61C2×C4132yescomplemented
79D4×Dic61C2×C4132yescomplemented
80#14519736C2×C4116yescomplemented
81#14519733—48no—
82C2×C4⋊Dic61C2314yes—
83C2×#11758196—44no—
84C2×#11758196C2314yes—
85C2×#11758196C2314yes—
86C2×#11758196C2314yes—
87C2×#11758196C2314yes—
88C2×C22⋊Dic61—24no—
89C2×C22⋊Dic61—44no—
90C2×C22⋊Dic61C2×C418yes—
91C2×C22⋊Dic61C2×C418yes—
92C2×C22⋊Dic61C2×C4116yescomplemented
93C2×C22⋊Dic61C2314yes—
94C2×C22⋊Dic61C2312yes—
95C2×C22⋊Dic61C2312yes—
96C2×C22⋊Dic61C2314yes—
97C2×C22⋊Dic61C2312yes—
98C2×C22⋊Dic61C2312yes—
99C2×C22⋊Dic61C2312yes—
100C2×C22⋊Dic61C2312yes—
101C2×C22⋊Dic61C2314yes—
102C2×C4×Dic61—44no—
103C2×C4×Dic61C2314yes—
104C2×C4×Dic61C2314yes—
105C2×C4×Dic61C2314yes—
106C2×C4×Dic61C2314yes—
107C2×C4×Dic61C2314yes—
108#14519684C2314yes—
109#14519684C2314yes—
110#14519684C2314yes—
111#14519684C2314yes—
112#14519684C2314yes—
113#14519684C2314yes—
114#14519684C2314yes—
115#14519684C2314yes—
116#14519684C2314yes—
117#14519684C2314yes—
118C25×C61C2311yescharacteristic
119C25×C61C2311yescharacteristic
120C22×D4×C61—24no—
121C22×D4×C61—24no—
122C22×D4×C61C2×C418yes—
123C22×D4×C61C2312yes—
124C22×D4×C61C2312yes—
125C23×C4×C61C2311yescharacteristic
126C23×C4×C61C2312yes—
127C23×C4×C61C2311yescharacteristic
128C23×C4×C61C2311yescharacteristic
129C2×C22⋊C4×C61—24no—
130C2×C22⋊C4×C61—24no—
131C2×C22⋊C4×C61C2312yes—
132C2×C22⋊C4×C61C2312yes—
133C2×C22⋊C4×C61C2312yes—
134C2×C22⋊C4×C61C2312yes—
135C2×C22⋊C4×C61C2314yes—
136C2×C22⋊C4×C61C2314yes—
137#95×C61C2314yes—
138#95×C61C2314yes—
139C24×C61—22no—
140C24×C61—22no—
141C24×C61—42no—
142C24×C61—42no—
143C24×C61—42no—
144C24×C61—42no—
145C24×C61C22×C414yes—
146C24×C61C22×C414yes—
147C24×C61#4114yes—
148C24×C61#4114yes—
149C24×C61C2412yes—
150C24×C61C2411yescharacteristic
151C24×C61C2411yescharacteristic
152C24×C61C2411yescharacteristic
153C2×D4×C61—232no—
154C2×D4×C61—24no—
155C2×D4×C61—24no—
156C2×D4×C61—24no—
157C2×D4×C61—24no—
158C2×D4×C61C22×C418yes—
159C2×D4×C61C22×C418yes—
160C22×C4×C61—22no—
161C22×C4×C61—22no—
162C22×C4×C61—24no—
163C22×C4×C61—22no—
164C22×C4×C61—22no—
165C22×C4×C61—42no—
166C22×C4×C61—42no—
167C22×C4×C61—42no—
168C22×C4×C61—42no—
169C22×C4×C61C22×C414yes—
170C22×C4×C61C2412yes—
171C22×C4×C61C2414yes—
172C22×C4×C61C2412yes—
173C22×C4×C61C2412yes—
174C22×Dic61—22no—
175C22×Dic61—24no—
176C22×Dic61—24no—
177C22×Dic61—24no—
178C22×Dic61—22no—
179C22×Dic61—24no—
180C22×Dic61—24no—
181C22×Dic61—24no—
182C22×Dic61—42no—
183C22×Dic61—42no—
184C22×Dic61—42no—
185C22×Dic61—42no—
186C22×Dic61—44no—
187C22×Dic61—42no—
188C22×Dic61—42no—
189C22×Dic61—42no—
190C22×Dic61—44no—
191C22×Dic61—42no—
192C22×Dic61—42no—
193C22×Dic61—416no—
194C22×Dic61C22×C418yes—
195C22×Dic61C22×C418yes—
196C22×Dic61C22×C4116yescomplemented
197C22×Dic61C2412yes—
198C22×Dic61C2414yes—
199C22×Dic61C2414yes—
200C22×Dic61C2414yes—
201C22×Dic61C2412yes—
202C22⋊C4×C61—24no—
203C22⋊C4×C61—24no—
204C22⋊C4×C61—24no—
205C22⋊C4×C61—24no—
206C22⋊C4×C61—44no—
207C22⋊C4×C61—44no—
208C22⋊Dic61—24no—
209C22⋊Dic61—24no—
210C22⋊Dic61—28no—
211C22⋊Dic61—44no—
212C22⋊Dic61C22×C418yes—
213C22⋊Dic61C22×C418yes—
214C22⋊Dic61C22×C418yes—
215C22⋊Dic61C22×C418yes—
216C22⋊Dic61C22×C4116yescomplemented
217C4⋊Dic61C22×C4116yescomplemented
218#11758196—28no—
219#11758196—44no—
220#11758196—44no—
221#11758196—44no—
222C4×Dic61—28no—
223C4×Dic61—44no—
224C4×Dic61—44no—
225C4×Dic61—44no—
226C4×Dic61C22×C4116yescomplemented
227C23×C61—22no—
228C23×C61—22no—
229C23×C61—22no—
230C23×C61—22no—
231C23×C61—22no—
232C23×C61—22no—
233C23×C61—22no—
234C23×C61—22no—
235C23×C61—24no—
236C23×C61—24no—
237C23×C61—28no—
238C23×C61—44no—
239C23×C61—48no—
240C23×C61—44no—
241C23×C61—48no—
242C23×C61—48no—
243C23×C61—82no—
244C23×C61—82no—
245C23×C61—84no—
246C23×C61#117116yescomplemented
247C23×C61C23×C414yes—
248C23×C61C23×C412yes—
249C23×C61C23×C412yes—
250C23×C61C23×C412yes—
251C23×C61C2×#4112yes—
252C23×C61C2×#4112yes—
253C23×C61C2×#4112yes—
254C23×C61C2×#4112yes—
255C23×C61C2×#4112yes—
256C23×C61C2×#4112yes—
257C23×C61C2511yescharacteristic
258D4×C61—216no—
259D4×C61—216no—
260C2×C4×C61—28no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—24no—
266C2×C4×C61—24no—
267C2×C4×C61—24no—
268C2×C4×C61—24no—
269C2×C4×C61—24no—
270C2×C4×C61—48no—
271C2×C4×C61—82no—
272C2×C4×C61—82no—
273C2×C4×C61C23×C414yes—
274C2×Dic61—28no—
275C2×Dic61—22no—
276C2×Dic61—24no—
277C2×Dic61—22no—
278C2×Dic61—24no—
279C2×Dic61—24no—
280C2×Dic61—24no—
281C2×Dic61—24no—
282C2×Dic61—22no—
283C2×Dic61—24no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—24no—
287C2×Dic61—48no—
288C2×Dic61—48no—
289C2×Dic61—416no—
290C2×Dic61—48no—
291C2×Dic61—48no—
292C2×Dic61—44no—
293C2×Dic61—84no—
294C2×Dic61C23×C418yes—
295C2×Dic61C23×C418yes—
296C2×Dic61H(5,𝔽2)14yes—
297#34251—611nomaximal, Sylow
298C22×C61—24no—
299C22×C61—24no—
300C22×C61—24no—
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—24no—
311C22×C61—28no—
312C22×C61—416no—
313C22×C61—42no—
314C22×C61—42no—
315C22×C61—44no—
316C22×C61—88no—
317C22×C61C2×#11714yes—
318C22×C61C2×#11714yes—
319C22×C61C2×#11714yes—
320C22×C61C24×C411yescharacteristic
321C22×C61C22×#4111yescharacteristic
322C22×C61C22×#4111yescharacteristic
323C22×C61C2×H(5,𝔽2)12yes—
324C22×C61#58512yes—
325C4×C61—24no—
326C4×C61—42no—
327C4×C61—42no—
328C4×C61—44no—
329Dic61—28no—
330Dic61—28no—
331Dic61—24no—
332Dic61—42no—
333Dic61—44no—
334C2×#518—611no—
335#2353—614no—
336#2352—614no—
337#2343—614no—
338#2342—614no—
339#2318—614no—
340#2315—611no—
341#2308D6111yescharacteristic
342#2290—614no—
343C2×#386—611no—
344C2×#385—611no—
345#2273—611no—
346C2×C4×C22⋊C4—611no—
347C2×C61—24no—
348C2×C61—24no—
349C2×C61—24no—
350C2×C61—44no—
351C2×C61C22×#11711yescharacteristic
352C2×C61C4×H(5,𝔽2)12yes—
353C2×C61#349011yescharacteristic
354C2×C61#349111yescharacteristic
355C2×C61#350512yes—
356C23×D4C2×D6111yescharacteristic
357C24×C4—611no—
358#518—6116no—
359C2×C4×D4—614no—
360C2×C4×D4—614no—
361C2×#117—612no—
362C2×#117—614no—
363C22×C4⋊C4—612no—
364C22×C22⋊C4—611no—
365C22×C22⋊C4—612no—
366C22×C22⋊C4—611no—
367C22×C22⋊C4—611no—
368C22×C22⋊C4—612no—
369C22×C22⋊C4C2×D6111yescharacteristic
370C22×C22⋊C4C2×D6111yescharacteristic
371C22×C42—612no—
372#388—614no—
373#388—614no—
374#388—614no—
375#388—614no—
376#387—614no—
377#387—614no—
378#387—614no—
379#387—614no—
380#386—612no—
381#386—614no—
382#386—612no—
383#386C2×D6114yes—
384#386C2×D6112yes—
385#386C2×D6112yes—
386#385—614no—
387#385—614no—
388#385—612no—
389#385—614no—
390#385—612no—
391#383—614no—
392#382—614no—
393#381—614no—
394#381C2×D6112yes—
395#380—614no—
396#380—614no—
397#379C2×D6112yes—
398C4×C4⋊C4—614no—
399C4×C22⋊C4—612no—
400C4×C22⋊C4—612no—
401C4×C22⋊C4—614no—
402C4×C22⋊C4—614no—
403C4×C22⋊C4—614no—
404C4×C22⋊C4—614no—
405C4×C22⋊C4—614no—
406#376—614no—
407C2×#95—612no—
408C2×#95—612no—
409C2×#95—612no—
410C61#3425111yescharacteristic, complemented, Sylow
411C25C22×D6111yescharacteristic
412C25C22×D6111yescharacteristic
413C22×D4—24no—
414C22×D4—24no—
415C22×D4C4×D6118yes—
416C22×D4C22×D6112yes—
417C22×D4C22×D6112yes—
418C23×C4—612no—
419C23×C4—614no—
420C23×C4—612no—
421C23×C4—611no—
422C23×C4—612no—
423C23×C4—612no—
424C23×C4—612no—
425C23×C4—611no—
426C23×C4—1224no—
427C23×C4—2444no—
428C23×C4C22×D6111yescharacteristic
429C23×C4C22×D6111yescharacteristic
430C23×C4C22×D6111yescharacteristic
431C23×C4C22×D6112yes—
432C4×D4—6132no—
433C4×D4—6132no—
434#117—6116no—
435#117—2448no—
436C2×C4⋊C4—614no—
437C2×C4⋊C4—614no—
438C2×C4⋊C4—614no—
439C2×C4⋊C4—614no—
440C2×C4⋊C4—614no—
441C2×C4⋊C4—2444no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—24no—
444C2×C22⋊C4—618no—
445C2×C22⋊C4—618no—
446C2×C22⋊C4—6116no—
447C2×C22⋊C4—612no—
448C2×C22⋊C4—612no—
449C2×C22⋊C4—612no—
450C2×C22⋊C4—612no—
451C2×C22⋊C4—614no—
452C2×C22⋊C4—614no—
453C2×C22⋊C4—612no—
454C2×C22⋊C4—612no—
455C2×C22⋊C4—614no—
456C2×C22⋊C4—1224no—
457C2×C22⋊C4—2444no—
458C2×C22⋊C4C22×D6112yes—
459C2×C22⋊C4C22×D6112yes—
460C2×C22⋊C4C22×D6112yes—
461C2×C22⋊C4C22×D6112yes—
462C2×C22⋊C4C22×D6114yes—
463C2×C22⋊C4C22×D6114yes—
464C2×C42—614no—
465C2×C42—614no—
466C2×C42—614no—
467C2×C42—614no—
468C2×C42—614no—
469C2×C42—2444no—
470#95—614no—
471#95—614no—
472#95—614no—
473#95—614no—
474#95—614no—
475#95—614no—
476#95—614no—
477#95—614no—
478#95—614no—
479#95—614no—
480#95C22×D6114yes—
481#95C22×D6114yes—
482C24—22no—
483C24—22no—
484C24—42no—
485C24—42no—
486C24—42no—
487C24—42no—
488C24C2×C4×D6114yes—
489C24C2×C4×D6114yes—
490C24#1175822414yes—
491C24#1175822414yes—
492C24C23×D6112yes—
493C24C23×D6111yescharacteristic
494C24C23×D6111yescharacteristic
495C24C23×D6111yescharacteristic
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—24no—
500C2×D4—232no—
501C2×D4C2×C4×D6118yes—
502C2×D4C2×C4×D6118yes—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—614no—
513C22×C4—612no—
514C22×C4—614no—
515C22×C4—618no—
516C22×C4—618no—
517C22×C4—6116no—
518C22×C4—612no—
519C22×C4—614no—
520C22×C4—1224no—
521C22×C4—1224no—
522C22×C4—1224no—
523C22×C4—1222no—
524C22×C4—1224no—
525C22×C4—1224no—
526C22×C4—1224no—
527C22×C4—1222no—
528C22×C4—2442no—
529C22×C4—2442no—
530C22×C4—2442no—
531C22×C4—2442no—
532C22×C4—2444no—
533C22×C4—2442no—
534C22×C4—2442no—
535C22×C4—2442no—
536C22×C4—2442no—
537C22×C4—2444no—
538C22×C4—2442no—
539C22×C4—24416no—
540C22×C4C2×C4×D6114yes—
541C22×C4C23×D6112yes—
542C22×C4C23×D6114yes—
543C22×C4C23×D6112yes—
544C22×C4C23×D6112yes—
545C4⋊C4—6116no—
546C4⋊C4—1228no—
547C4⋊C4—2444no—
548C4⋊C4—2444no—
549C4⋊C4—2444no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—44no—
555C22⋊C4—44no—
556C22⋊C4—618no—
557C22⋊C4—618no—
558C22⋊C4—618no—
559C22⋊C4—618no—
560C22⋊C4—6116no—
561C22⋊C4—1228no—
562C22⋊C4—1224no—
563C22⋊C4—1224no—
564C22⋊C4—2444no—
565C42—6116no—
566C42—1228no—
567C42—2444no—
568C42—2444no—
569C42—2444no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—24no—
580C23—28no—
581C23—44no—
582C23—48no—
583C23—44no—
584C23—48no—
585C23—48no—
586C23—82no—
587C23—82no—
588C23—84no—
589C23#14519733116yescomplemented
590C23C22×C4×D6114yes—
591C23C22×C4×D6112yes—
592C23C22×C4×D6112yes—
593C23C22×C4×D6112yes—
594C23C2×#1175822412yes—
595C23C2×#1175822412yes—
596C23C2×#1175822412yes—
597C23C2×#1175822412yes—
598C23C2×#1175822412yes—
599C23C2×#1175822412yes—
600C23C24×D6111yescharacteristic
601D4—216no—
602D4—216no—
603C2×C4—28no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—48no—
614C2×C4—82no—
615C2×C4—82no—
616C2×C4—618no—
617C2×C4—618no—
618C2×C4—614no—
619C2×C4—1228no—
620C2×C4—1222no—
621C2×C4—1224no—
622C2×C4—1222no—
623C2×C4—1224no—
624C2×C4—1224no—
625C2×C4—1224no—
626C2×C4—1224no—
627C2×C4—1222no—
628C2×C4—1224no—
629C2×C4—1222no—
630C2×C4—1222no—
631C2×C4—1224no—
632C2×C4—4884no—
633C2×C4—2448no—
634C2×C4—2448no—
635C2×C4—24416no—
636C2×C4—2448no—
637C2×C4—2448no—
638C2×C4—2444no—
639C2×C4C22×C4×D6114yes—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—24no—
647C22—24no—
648C22—24no—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—24no—
653C22—28no—
654C22—416no—
655C22—42no—
656C22—42no—
657C22—44no—
658C22—88no—
659C22C2×#1451973314yes—
660C22C2×#1451973314yes—
661C22C2×#1451973314yes—
662C22C23×C4×D6111yescharacteristic
663C22C22×#1175822411yescharacteristic
664C22C22×#1175822411yescharacteristic
665C22H(5,𝔽2)×D6112yes—
666C22#1684059712yes—
667C4—24no—
668C4—42no—
669C4—42no—
670C4—44no—
671C4—1224no—
672C4—1228no—
673C4—1228no—
674C4—2442no—
675C4—2444no—
676C2—24no—
677C2—24no—
678C2—24no—
679C2—44no—
680C2C22×#1451973311yescharacteristic
681C2#2145902312yes—
682C2#2145950711yescharacteristic
683C2#2145951611yescharacteristic
684C2#2145965612yes—
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2308C2
socle, cosocleC23×C61C25
prime radicalC23×D4×C61C22
hypercenter#2308D61
hypocenterC61#34251
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2308

Complements

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

NH ≅ G/Ntype
2. #21448757C2semidirect
3. #21448746C2semidirect
4. #21448681C2semidirect
5. #21448670C2semidirect
6. #21448445C2semidirect
7. #21448431C2semidirect
8. #21448259C2semidirect
10. C2×#16839634C2semidirect
11. #21448172C2semidirect
12. C2×C22⋊C4×Dic61C2semidirect
15. #16840237C4semidirect
19. C2×#14519733C22semidirect
20. C22×#11758196C22semidirect
26. C22×C4×Dic61C22semidirect
27. #16839656C22semidirect
28. #16839656C22semidirect
29. #16839650C22semidirect
30. #16839650C22semidirect
31. #16839647C22semidirect
32. #16839647C22semidirect
33. #16839645C22semidirect
34. #16839645C22semidirect
38. #16839635C22semidirect
41. #16839634C22semidirect
42. #16839634C22semidirect
43. #16839629C22semidirect
44. #16839626C22semidirect
45. #16839623C22semidirect
46. #16839620C22semidirect
47. #16839620C22semidirect
48. #16839613C22semidirect
51. C22⋊C4×Dic61C22semidirect
52. C22⋊C4×Dic61C22semidirect
53. C22⋊C4×Dic61C22semidirect
54. C4×C22⋊Dic61C22semidirect
55. C4×C22⋊Dic61C22semidirect
56. #16839607C22semidirect
58. C2×#14519684C22semidirect
59. C2×#14519684C22semidirect
78. D4×Dic61C2×C4semidirect
79. D4×Dic61C2×C4semidirect
80. #14519736C2×C4semidirect
92. C2×C22⋊Dic61C2×C4semidirect
196. C22×Dic61C22×C4semidirect
216. C22⋊Dic61C22×C4semidirect
217. C4⋊Dic61C22×C4semidirect
226. C4×Dic61C22×C4semidirect
246. C23×C61#117semidirect
410. C61#34251semidirect
589. C23#14519733semidirect

Maximal subgroups

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

subgroupindex
C2×#168402372
#214487572
#214487462
#214486812
#214486702
#214484452
#214484312
#214482592
C2×#168396422
C2×#168396342
#214481722
C2×C22⋊C4×Dic612
C61×#23082
#3425161