Finite Group Databasebeta

← #29843228

Subgroups — #29843228

Order 15616.

2486 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21448985C212yesmaximal, complemented
2#21448976C212yesmaximal, complemented
3#21448815C214yesmaximal, complemented
4#21448792C212yesmaximal, complemented
5#21448759C212yesmaximal, complemented
6#21448679C212yesmaximal, complemented
7#21448649C212yesmaximal, complemented
8#21448586C212yesmaximal, complemented
9#21448577C212yesmaximal, complemented
10#21448480C214yesmaximal, complemented
11#21448462C212yesmaximal, complemented
12#21448452C212yesmaximal, complemented
13#21448202C211yesmaximal, characteristic, complemented
14C2×#16839625C211yesmaximal, characteristic, complemented
15C2×C61×#525C211yesmaximal, characteristic
16C2×D4×Dic61C2214yes—
17C2×#14519736C2212yes—
18C22×C22⋊Dic61C2212yes—
19#16839669C2214yescomplemented
20#16839665C2214yes—
21#16839665C2214yes—
22#16839661C2214yescomplemented
23#16839655C2214yes—
24#16839655C2214yes—
25#16839655C2214yes—
26#16839655C2214yes—
27#16839655C2214yescomplemented
28#16839655C2214yescomplemented
29#16839648C2214yescomplemented
30#16839648C2214yescomplemented
31#16839648C2214yescomplemented
32#16839648C2214yescomplemented
33#16839642C2214yes—
34#16839642C2214yes—
35#16839642C2214yes—
36#16839642C2214yescomplemented
37#16839637C2214yes—
38#16839637C2214yescomplemented
39#16839630C2212yescomplemented
40#16839628C2212yescomplemented
41#16839625C2211yescharacteristic
42#16839625C2211yescharacteristic
43#16839625C2212yes—
44#16839625C2212yes—
45#16839625C2212yes—
46#16839625C2212yes—
47#16839625C2212yescomplemented
48#16839622C2212yes—
49#16839622C2212yes—
50#16839622C2212yescomplemented
51#16839618C2212yes—
52C4⋊C4×Dic61C2214yescomplemented
53C4×C4⋊Dic61C2212yescomplemented
54C22⋊C4×Dic61C2214yes—
55C22⋊C4×Dic61C2214yescomplemented
56C4×C22⋊Dic61C2211yescharacteristic
57C4×C22⋊Dic61C2211yescharacteristic
58C4×C22⋊Dic61C2212yes—
59C4×C22⋊Dic61C2212yescomplemented
60#16839608C2212yescomplemented
61C2×#14519684C2212yes—
62C2×#14519684C2212yes—
63C2×#14519684C2212yescomplemented
64C22×#41×C61C2211yescharacteristic
65C24×C4×C61C2211yescharacteristic
66C61×#525C4116yescomplemented
67C2×#123×C61C2212yes—
68C2×C22⋊Q8×C61C2211yescharacteristic
69C2×C22⋊Q8×C61C2211yescharacteristic
70C2×#121×C61C2211yescharacteristic
71C2×#121×C61C2211yescharacteristic
72C2×#120×C61C2212yes—
73C2×C4×D4×C61C2212yes—
74C2×C4×D4×C61C2212yes—
75C2×#117×C61C2211yescharacteristic
76C23×Dic61C2314yes—
77C23×Dic61C2314yes—
78D4×Dic61—48no—
79#14519736—44no—
80C2×C4⋊Dic61C2314yes—
81C2×C4⋊Dic61C2314yes—
82C2×C4⋊Dic61C2314yes—
83C2×C4⋊Dic61C2314yes—
84C2×C22⋊Dic61—44no—
85C2×C22⋊Dic61C2314yes—
86C2×C22⋊Dic61C2312yes—
87C2×C22⋊Dic61C2314yes—
88C2×C22⋊Dic61C2312yes—
89C2×C22⋊Dic61C2314yes—
90C2×C22⋊Dic61C2312yes—
91C2×C22⋊Dic61C2314yes—
92C2×C22⋊Dic61C2312yes—
93C2×C22⋊Dic61C2314yes—
94C2×C22⋊Dic61C2314yes—
95C2×C4×Dic61C2312yes—
96C2×C4×Dic61C2312yes—
97C2×C4×Dic61C2314yes—
98C2×C4×Dic61C2314yes—
99C2×C4×Dic61C2314yes—
100#14519684C2312yes—
101#14519684C2312yes—
102#14519684C2314yes—
103#14519684C2312yes—
104#14519684C2314yes—
105#14519684C2312yes—
106#14519684C2312yes—
107#14519684C2314yes—
108#14519684C2314yes—
109#14519684C2312yes—
110#14519684C2314yes—
111#14519684C2314yes—
112#14519684C2314yes—
113#14519684C2314yes—
114#14519684C2314yes—
115C25×C61C2311yescharacteristic
116C2×#41×C61—44no—
117C2×#41×C61C2×C418yes—
118C22×Q8×C61C2311yescharacteristic
119C22×D4×C61C2312yes—
120C22×D4×C61C2311yescharacteristic
121C22×D4×C61C2312yes—
122C22×D4×C61C2312yes—
123C23×C4×C61—44no—
124C23×C4×C61C2×C418yescomplemented
125C23×C4×C61C2311yescharacteristic
126C23×C4×C61C2311yescharacteristic
127C23×C4×C61C2311yescharacteristic
128C23×C4×C61C2311yescharacteristic
129C23×C4×C61C2311yescharacteristic
130C23×C4×C61C2311yescharacteristic
131C23×C4×C61C2312yes—
132#123×C61C2×C4116yescomplemented
133C22⋊Q8×C61C2×C418yescomplemented
134C22⋊Q8×C61C2×C418yescomplemented
135#121×C61C2×C418yescomplemented
136#121×C61C2×C418yescomplemented
137#120×C61C2×C4116yescomplemented
138C4×D4×C61C2×C4116yescomplemented
139C4×D4×C61C2×C4116yescomplemented
140#117×C61C2×C418yescomplemented
141C2×C4⋊C4×C61C2312yes—
142C2×C4⋊C4×C61C2311yescharacteristic
143C2×C4⋊C4×C61C2311yescharacteristic
144C2×C4⋊C4×C61C2312yes—
145C2×C22⋊C4×C61C2312yes—
146C2×C22⋊C4×C61C2312yes—
147C2×C22⋊C4×C61C2312yes—
148C2×C22⋊C4×C61C2312yes—
149C2×C22⋊C4×C61C2312yes—
150C2×C42×C61C2312yes—
151C24×C61—24no—
152C24×C61—42no—
153C24×C61—42no—
154C24×C61C22×C414yes—
155C24×C61C2412yes—
156C24×C61C2411yescharacteristic
157C24×C61C2411yescharacteristic
158C24×C61C2411yescharacteristic
159#41×C61—416no—
160C2×Q8×C61—42no—
161C2×Q8×C61C22×C414yes—
162C2×D4×C61—28no—
163C2×D4×C61—42no—
164C2×D4×C61—44no—
165C2×D4×C61—42no—
166C2×D4×C61—42no—
167C2×D4×C61C22×C418yes—
168C2×D4×C61C22×C418yes—
169C2×D4×C61C22×C418yes—
170C2×D4×C61C22×C414yes—
171C22×C4×C61—24no—
172C22×C4×C61—24no—
173C22×C4×C61—416no—
174C22×C4×C61—42no—
175C22×C4×C61—42no—
176C22×C4×C61—42no—
177C22×C4×C61—42no—
178C22×C4×C61—44no—
179C22×C4×C61C22×C414yes—
180C22×C4×C61C22×C414yes—
181C22×C4×C61C22×C414yes—
182C22×C4×C61C22×C414yes—
183C22×C4×C61C22×C418yes—
184C22×C4×C61C22×C414yes—
185C22×C4×C61C22×C414yes—
186C22×C4×C61C2411yescharacteristic
187C22×C4×C61C2412yes—
188C22×C4×C61C2412yes—
189C22×C4×C61C2411yescharacteristic
190C22×C4×C61C2411yescharacteristic
191C22×C4×C61C2412yes—
192C22×C4×C61C2411yescharacteristic
193C22×Dic61—28no—
194C22×Dic61—44no—
195C22×Dic61—44no—
196C22×Dic61—44no—
197C22×Dic61—44no—
198C22×Dic61—44no—
199C22×Dic61C2414yes—
200C22×Dic61C2414yes—
201C22×Dic61C2414yes—
202C22×Dic61C2414yes—
203C4⋊C4×C61C22×C414yes—
204C4⋊C4×C61C22×C414yes—
205C4⋊C4×C61C22×C418yes—
206C4⋊C4×C61C22×C418yes—
207C22⋊C4×C61C22×C418yes—
208C22⋊C4×C61C22×C418yes—
209C22⋊C4×C61C22×C418yes—
210C22⋊C4×C61C22×C418yes—
211C22⋊C4×C61C22×C418yes—
212C42×C61C22×C418yes—
213C22⋊Dic61—28no—
214C22⋊Dic61—42no—
215C22⋊Dic61—44no—
216C22⋊Dic61—42no—
217C22⋊Dic61—44no—
218C22⋊Dic61—42no—
219C22⋊Dic61—44no—
220C22⋊Dic61—42no—
221C22⋊Dic61—44no—
222C22⋊Dic61—44no—
223C4⋊Dic61—44no—
224C4⋊Dic61—44no—
225C4⋊Dic61—44no—
226C4⋊Dic61—44no—
227C4×Dic61—44no—
228C4×Dic61—44no—
229C4×Dic61—42no—
230C4×Dic61—42no—
231C4×Dic61—44no—
232C23×C61—22no—
233C23×C61—22no—
234C23×C61—28no—
235C23×C61—22no—
236C23×C61—22no—
237C23×C61—24no—
238C23×C61—22no—
239C23×C61—22no—
240C23×C61—22no—
241C23×C61—24no—
242C23×C61—22no—
243C23×C61—22no—
244C23×C61—22no—
245C23×C61—44no—
246C23×C61—44no—
247C23×C61—416no—
248C23×C61C23×C412yes—
249C23×C61C23×C412yes—
250C23×C61C23×C414yes—
251C23×C61C23×C412yes—
252C23×C61H(5,𝔽2)14yes—
253C23×C61C2511yescharacteristic
254Q8×C61—44no—
255D4×C61—216no—
256D4×C61—48no—
257D4×C61—48no—
258D4×C61—44no—
259C2×C4×C61—28no—
260C2×C4×C61—28no—
261C2×C4×C61—22no—
262C2×C4×C61—24no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—24no—
268C2×C4×C61—22no—
269C2×C4×C61—44no—
270C2×C4×C61—44no—
271C2×C4×C61—44no—
272C2×C4×C61—44no—
273C2×C4×C61—48no—
274C2×C4×C61C23×C412yes—
275C2×C4×C61C23×C414yes—
276C2×C4×C61C23×C414yes—
277C2×C4×C61C23×C412yes—
278C2×C4×C61C23×C412yes—
279C2×C4×C61C23×C414yes—
280C2×C4×C61C23×C412yes—
281C2×Dic61—24no—
282C2×Dic61—24no—
283C2×Dic61—24no—
284C2×Dic61—24no—
285C2×Dic61—24no—
286C2×Dic61—24no—
287C2×Dic61—24no—
288C2×Dic61—24no—
289C2×Dic61—24no—
290C2×Dic61—24no—
291C2×Dic61—24no—
292C2×Dic61—24no—
293C2×Dic61—88no—
294C2×Dic61—88no—
295#34396—611nomaximal, Sylow
296C22×C61—22no—
297C22×C61—22no—
298C22×C61—28no—
299C22×C61—22no—
300C22×C61—22no—
301C22×C61—24no—
302C22×C61—22no—
303C22×C61—22no—
304C22×C61—24no—
305C22×C61—24no—
306C22×C61—22no—
307C22×C61—22no—
308C22×C61—416no—
309C22×C61—44no—
310C22×C61—44no—
311C22×C61—44no—
312C22×C61—44no—
313C22×C61#51814yes—
314C22×C61C24×C411yescharacteristic
315C22×C61C2×H(5,𝔽2)12yes—
316C22×C61#58512yes—
317C22×C61#58512yes—
318C4×C61—22no—
319C4×C61—22no—
320C4×C61—22no—
321C4×C61—22no—
322C4×C61—24no—
323C4×C61—24no—
324C4×C61—24no—
325Dic61—44no—
326Dic61—44no—
327Dic61—44no—
328Dic61—44no—
329C2×#525D6111yescharacteristic
330#2378—612no—
331#2377—612no—
332#2359—614no—
333#2357—612no—
334#2353—612no—
335#2343—612no—
336#2339—612no—
337#2333—612no—
338#2332—612no—
339#2321—614no—
340#2319—612no—
341#2318—612no—
342#2280—611no—
343C2×#381—611no—
344C2×C61—24no—
345C2×C61—44no—
346C2×C61—42no—
347C2×C61—42no—
348C2×C61C2×#51811yescharacteristic
349C2×C61#342811yescharacteristic
350C2×C61#342811yescharacteristic
351C2×C61#353314yes—
352C22×#41C2×D6111yescharacteristic
353C24×C4C2×D6111yescharacteristic
354#525Dic61116yescomplemented
355C2×#123C2×D6112yes—
356C2×C22⋊Q8C2×D6111yescharacteristic
357C2×C22⋊Q8C2×D6111yescharacteristic
358C2×#121C2×D6111yescharacteristic
359C2×#121C2×D6111yescharacteristic
360C2×#120C2×D6112yes—
361C2×C4×D4—614no—
362C2×C4×D4C2×D6112yes—
363C2×C4×D4C2×D6112yes—
364C2×#117—612no—
365C2×#117C2×D6111yescharacteristic
366C22×C22⋊C4—612no—
367#391—614no—
368#390—614no—
369#390—614no—
370#389—614no—
371#388—614no—
372#388—614no—
373#388—614no—
374#388—614no—
375#388—614no—
376#388—614no—
377#387—614no—
378#387—614no—
379#387—614no—
380#387—614no—
381#386—614no—
382#386—614no—
383#386—614no—
384#386—614no—
385#385—614no—
386#385—614no—
387#383—612no—
388#382—612no—
389#381—611no—
390#381—611no—
391#381—612no—
392#381—612no—
393#381—612no—
394#381—612no—
395#381—612no—
396#380—612no—
397#380—612no—
398#380—612no—
399#379—612no—
400C4×C4⋊C4—614no—
401C4×C4⋊C4—612no—
402C4×C22⋊C4—612no—
403C4×C22⋊C4—612no—
404C4×C22⋊C4—611no—
405C4×C22⋊C4—611no—
406C4×C22⋊C4—614no—
407C4×C22⋊C4—614no—
408#376—612no—
409C2×#95—612no—
410C2×#95—612no—
411C2×#95—612no—
412C61#3439611yescharacteristic, complemented, Sylow
413C25C22×D6111yescharacteristic
414C2×#41—44no—
415C2×#41C2×Dic6118yes—
416C22×Q8C22×D6111yescharacteristic
417C22×D4C22×D6112yes—
418C22×D4C22×D6112yes—
419C22×D4C22×D6112yes—
420C22×D4C22×D6111yescharacteristic
421C23×C4—44no—
422C23×C4—614no—
423C23×C4—614no—
424C23×C4C2×Dic6118yescomplemented
425C23×C4C22×D6111yescharacteristic
426C23×C4C22×D6111yescharacteristic
427C23×C4C22×D6111yescharacteristic
428C23×C4C22×D6111yescharacteristic
429C23×C4C22×D6112yes—
430C23×C4C22×D6111yescharacteristic
431C23×C4C22×D6111yescharacteristic
432#123C2×Dic61116yescomplemented
433C22⋊Q8C2×Dic6118yescomplemented
434C22⋊Q8C2×Dic6118yescomplemented
435#121C2×Dic6118yescomplemented
436#121C2×Dic6118yescomplemented
437#120C2×Dic61116yescomplemented
438C4×D4—2448no—
439C4×D4C2×Dic61116yescomplemented
440C4×D4C2×Dic61116yescomplemented
441#117—2444no—
442#117C2×Dic6118yescomplemented
443C2×C4⋊C4—614no—
444C2×C4⋊C4—614no—
445C2×C4⋊C4—614no—
446C2×C4⋊C4—614no—
447C2×C4⋊C4C22×D6111yescharacteristic
448C2×C4⋊C4C22×D6111yescharacteristic
449C2×C4⋊C4C22×D6112yes—
450C2×C4⋊C4C22×D6112yes—
451C2×C22⋊C4—614no—
452C2×C22⋊C4—612no—
453C2×C22⋊C4—614no—
454C2×C22⋊C4—612no—
455C2×C22⋊C4—614no—
456C2×C22⋊C4—612no—
457C2×C22⋊C4—614no—
458C2×C22⋊C4—612no—
459C2×C22⋊C4—614no—
460C2×C22⋊C4—614no—
461C2×C22⋊C4—2444no—
462C2×C22⋊C4C22×D6112yes—
463C2×C22⋊C4C22×D6112yes—
464C2×C22⋊C4C22×D6112yes—
465C2×C22⋊C4C22×D6112yes—
466C2×C22⋊C4C22×D6112yes—
467C2×C42—612no—
468C2×C42—612no—
469C2×C42—614no—
470C2×C42—614no—
471C2×C42—614no—
472C2×C42C22×D6112yes—
473#95—612no—
474#95—612no—
475#95—612no—
476#95—614no—
477#95—612no—
478#95—614no—
479#95—612no—
480#95—614no—
481#95—614no—
482#95—612no—
483#95—614no—
484#95—614no—
485#95—614no—
486#95—614no—
487#95—614no—
488C24—24no—
489C24—42no—
490C24—42no—
491C24C22×Dic6114yes—
492C24C23×D6111yescharacteristic
493C24C23×D6111yescharacteristic
494C24C23×D6112yes—
495C24C23×D6111yescharacteristic
496#41—416no—
497C2×Q8—42no—
498C2×Q8C22×Dic6114yes—
499C2×D4—28no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—44no—
503C2×D4—42no—
504C2×D4C22×Dic6118yes—
505C2×D4C22×Dic6118yes—
506C2×D4C22×Dic6118yes—
507C2×D4C22×Dic6114yes—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—416no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—44no—
516C22×C4—614no—
517C22×C4—614no—
518C22×C4—614no—
519C22×C4—614no—
520C22×C4—1228no—
521C22×C4—2444no—
522C22×C4—2444no—
523C22×C4—2444no—
524C22×C4—2444no—
525C22×C4—2444no—
526C22×C4C22×Dic6114yes—
527C22×C4C22×Dic6114yes—
528C22×C4C22×Dic6114yes—
529C22×C4C22×Dic6114yes—
530C22×C4C22×Dic6118yes—
531C22×C4C22×Dic6114yes—
532C22×C4C22×Dic6114yes—
533C22×C4C23×D6111yescharacteristic
534C22×C4C23×D6111yescharacteristic
535C22×C4C23×D6111yescharacteristic
536C22×C4C23×D6112yes—
537C22×C4C23×D6112yes—
538C22×C4C23×D6112yes—
539C22×C4C23×D6111yescharacteristic
540C4⋊C4—2444no—
541C4⋊C4—2444no—
542C4⋊C4—2444no—
543C4⋊C4—2444no—
544C4⋊C4C22×Dic6114yes—
545C4⋊C4C22×Dic6114yes—
546C4⋊C4C22×Dic6118yes—
547C4⋊C4C22×Dic6118yes—
548C22⋊C4—1228no—
549C22⋊C4—2442no—
550C22⋊C4—2444no—
551C22⋊C4—2442no—
552C22⋊C4—2444no—
553C22⋊C4—2444no—
554C22⋊C4—2442no—
555C22⋊C4—2444no—
556C22⋊C4—2442no—
557C22⋊C4—2444no—
558C22⋊C4C22×Dic6118yes—
559C22⋊C4C22×Dic6118yes—
560C22⋊C4C22×Dic6118yes—
561C22⋊C4C22×Dic6118yes—
562C22⋊C4C22×Dic6118yes—
563C42—2444no—
564C42—2444no—
565C42—2442no—
566C42—2442no—
567C42—2444no—
568C42C22×Dic6118yes—
569C23—22no—
570C23—22no—
571C23—28no—
572C23—22no—
573C23—22no—
574C23—24no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—44no—
583C23—44no—
584C23—416no—
585C23C23×Dic6112yes—
586C23C23×Dic6112yes—
587C23C23×Dic6114yes—
588C23C23×Dic6112yes—
589C23#1451982214yes—
590C23C24×D6111yescharacteristic
591Q8—44no—
592D4—216no—
593D4—48no—
594D4—48no—
595D4—44no—
596C2×C4—28no—
597C2×C4—28no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—44no—
609C2×C4—44no—
610C2×C4—48no—
611C2×C4—1224no—
612C2×C4—1224no—
613C2×C4—1224no—
614C2×C4—1224no—
615C2×C4—1224no—
616C2×C4—1224no—
617C2×C4—1224no—
618C2×C4—1224no—
619C2×C4—1224no—
620C2×C4—1224no—
621C2×C4—1224no—
622C2×C4—1224no—
623C2×C4—4888no—
624C2×C4—4888no—
625C2×C4C23×Dic6112yes—
626C2×C4C23×Dic6114yes—
627C2×C4C23×Dic6114yes—
628C2×C4C23×Dic6112yes—
629C2×C4C23×Dic6112yes—
630C2×C4C23×Dic6114yes—
631C2×C4C23×Dic6112yes—
632C22—28no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—24no—
638C22—22no—
639C22—22no—
640C22—24no—
641C22—24no—
642C22—22no—
643C22—22no—
644C22—416no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22#1684023714yes—
650C22C24×Dic6111yescharacteristic
651C22C2×#1451982212yes—
652C22#1684059812yes—
653C22#1684059812yes—
654C4—22no—
655C4—22no—
656C4—22no—
657C4—22no—
658C4—24no—
659C4—24no—
660C4—24no—
661C4—2444no—
662C4—2444no—
663C4—2444no—
664C4—2444no—
665C2—24no—
666C2—42no—
667C2—42no—
668C2—44no—
669C2C2×#1684023711yescharacteristic
670C2#2145902211yescharacteristic
671C2#2145902211yescharacteristic
672C2#2145998314yes—
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
Fitting, prime radicalC2×C61×#525C2
socle, cosocleC23×C61C25
hypercenterC2×#525D61
hypocenterC61#34396
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #21448985C2semidirect
2. #21448976C2semidirect
3. #21448815C2semidirect
4. #21448792C2semidirect
5. #21448759C2semidirect
6. #21448679C2semidirect
7. #21448649C2semidirect
8. #21448586C2semidirect
9. #21448577C2semidirect
10. #21448480C2semidirect
11. #21448462C2semidirect
12. #21448452C2semidirect
13. #21448202C2semidirect
14. C2×#16839625C2semidirect
19. #16839669C22semidirect
22. #16839661C22semidirect
27. #16839655C22semidirect
28. #16839655C22semidirect
29. #16839648C22semidirect
30. #16839648C22semidirect
31. #16839648C22semidirect
32. #16839648C22semidirect
36. #16839642C22semidirect
38. #16839637C22semidirect
39. #16839630C22semidirect
40. #16839628C22semidirect
47. #16839625C22semidirect
50. #16839622C22semidirect
52. C4⋊C4×Dic61C22semidirect
53. C4×C4⋊Dic61C22semidirect
55. C22⋊C4×Dic61C22semidirect
59. C4×C22⋊Dic61C22semidirect
60. #16839608C22semidirect
63. C2×#14519684C22semidirect
66. C61×#525C4semidirect
124. C23×C4×C61C2×C4semidirect
132. #123×C61C2×C4semidirect
133. C22⋊Q8×C61C2×C4semidirect
134. C22⋊Q8×C61C2×C4semidirect
135. #121×C61C2×C4semidirect
136. #121×C61C2×C4semidirect
137. #120×C61C2×C4semidirect
138. C4×D4×C61C2×C4semidirect
139. C4×D4×C61C2×C4semidirect
140. #117×C61C2×C4semidirect
354. #525Dic61semidirect
412. C61#34396semidirect
424. C23×C4C2×Dic61semidirect
432. #123C2×Dic61semidirect
433. C22⋊Q8C2×Dic61semidirect
434. C22⋊Q8C2×Dic61semidirect
435. #121C2×Dic61semidirect
436. #121C2×Dic61semidirect
437. #120C2×Dic61semidirect
439. C4×D4C2×Dic61semidirect
440. C4×D4C2×Dic61semidirect
442. #117C2×Dic61semidirect

Maximal subgroups

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

subgroupindex
#214489852
#214489762
#214488152
#214487922
#214487592
#214486792
#214486492
#214485862
#214485772
#214484802
#214484622
#214484522
#214482022
C2×#168396252
C2×C61×#5252
#3439661