Finite Group Databasebeta

← #29853093

Subgroups — #29853093

Order 15616.

1978 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454171C211yesmaximal, characteristic, complemented
2#21454171C211yesmaximal, characteristic, complemented
3#21454106C212yesmaximal
4#21451789C212yesmaximal, complemented
5#21451624C212yesmaximal
6#21451264C214yesmaximal, complemented
7#21451234C214yesmaximal, complemented
8#21450252C212yesmaximal, complemented
9#21450193C212yesmaximal, complemented
10#21449418C212yesmaximal, complemented
11#21449344C212yesmaximal, complemented
12#21448552C212yesmaximal, complemented
13#21448417C212yesmaximal
14C4×#14519756C212yesmaximal, complemented
15C2×C4×C22⋊C4×C61C211yesmaximal, characteristic
16C2×#14519777C2211yescharacteristic, complemented
17C2×#14519777C2211yescharacteristic, complemented
18C2×#14519756C2212yes—
19C2×#14519756C2212yes—
20C2×#14519756C2212yes—
21C2×#14519756C2212yes—
22C2×C4×Dic122C2212yescomplemented
23#16839704C2214yescomplemented
24#16839704C2214yescomplemented
25#16839698C2214yes—
26#16839696C2214yescomplemented
27#16839696C2214yescomplemented
28#16839685C2214yes—
29#16839685C2214yes—
30#16839674C2214yes—
31#16839668C2212yescomplemented
32#16839668C2212yescomplemented
33#16839668C2212yescomplemented
34#16839666C2214yescomplemented
35#16839660C2212yescomplemented
36#16839660C2212yescomplemented
37#16839660C2212yescomplemented
38#16839660C2212yescomplemented
39#16839660C2212yescomplemented
40#16839659C2214yescomplemented
41#16839655C2214yes—
42#16839655C2214yes—
43#16839655C2214yes—
44#16839655C2214yes—
45#16839649C2214yescomplemented
46#16839646C2214yescomplemented
47#16839645C2214yescomplemented
48#16839635C2214yes—
49#16839635C2214yes—
50#16839635C2214yes—
51#16839635C2214yes—
52#16839632C2211yescharacteristic, complemented
53#16839632C2211yescharacteristic, complemented
54#16839622C2212yes—
55#16839622C2212yes—
56#16839622C2212yes—
57#16839622C2212yes—
58#16839622C2212yes—
59#16839622C2212yes—
60#16839618C2214yes—
61C4×#11758196C2214yescomplemented
62C4×C4⋊Dic61C2212yescomplemented
63C4×C22⋊Dic61C2214yes—
64C24×C4×C61C2211yescharacteristic
65C22×C22⋊C4×C61C2211yescharacteristic
66C22×C22⋊C4×C61C2211yescharacteristic
67C22×C42×C61C2211yescharacteristic
68C22×C42×C61C2211yescharacteristic
69C4×C22⋊C4×C61C2212yes—
70C4×C22⋊C4×C61C2212yes—
71C4×C22⋊C4×C61C2212yes—
72C4×C22⋊C4×C61C2212yes—
73C2×#95×C61C2211yescharacteristic
74C2×#95×C61C2211yescharacteristic
75C22×Dic122C2312yes—
76C22×Dic122C2312yes—
77#14519777—42no—
78#14519777—42no—
79#14519756—28no—
80#14519756—28no—
81#14519756—44no—
82#14519756—44no—
83C4×Dic122—44no—
84C2×C4⋊Dic61C2312yes—
85C2×C4⋊Dic61C2312yes—
86C2×C4⋊Dic61C2312yes—
87C2×C4⋊Dic61C2312yes—
88C2×C4⋊Dic61C2312yes—
89C2×C4⋊Dic61C2312yes—
90C2×C4⋊Dic61C2312yes—
91C2×C4⋊Dic61C2312yes—
92C2×C4⋊Dic61C2312yes—
93C2×C4⋊Dic61C2312yes—
94C2×#11758196C2314yes—
95C2×#11758196C2314yes—
96C2×#11758196C2314yes—
97C2×#11758196C2314yes—
98C2×#11758196C2314yes—
99C2×#11758196C2314yes—
100C2×C22⋊Dic61C2314yes—
101C2×C22⋊Dic61C2314yes—
102C2×C22⋊Dic61C2314yes—
103C2×C22⋊Dic61C2314yes—
104C2×C22⋊Dic61C2314yes—
105C2×C22⋊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
119C23×C4×C61—24no—
120C23×C4×C61—42no—
121C23×C4×C61—42no—
122C23×C4×C61C2312yes—
123C23×C4×C61C2311yescharacteristic
124C23×C4×C61C2311yescharacteristic
125C23×C4×C61C2312yes—
126C23×C4×C61C2311yescharacteristic
127C23×C4×C61C2311yescharacteristic
128C23×C4×C61C2311yescharacteristic
129C23×C4×C61C2311yescharacteristic
130C2×C22⋊C4×C61—24no—
131C2×C22⋊C4×C61Q818yescomplemented
132C2×C22⋊C4×C61C2312yes—
133C2×C22⋊C4×C61C2312yes—
134C2×C22⋊C4×C61C2312yes—
135C2×C22⋊C4×C61C2312yes—
136C2×C42×C61—42no—
137C2×C42×C61—42no—
138C2×C42×C61C2312yes—
139C2×C42×C61C2311yescharacteristic
140C2×C42×C61C2311yescharacteristic
141C2×C42×C61C2312yes—
142C2×C42×C61C2311yescharacteristic
143C2×C42×C61C2311yescharacteristic
144#95×C61C2312yes—
145#95×C61C2312yes—
146#95×C61C2312yes—
147#95×C61C2312yes—
148C24×C61—22no—
149C24×C61—22no—
150C24×C61—41no—
151C24×C61—41no—
152C24×C61—41no—
153C24×C61—41no—
154C24×C61C2×Q814yes—
155C24×C61C2412yes—
156C24×C61C2411yescharacteristic
157C22×C4×C61—22no—
158C22×C4×C61—22no—
159C22×C4×C61—22no—
160C22×C4×C61—22no—
161C22×C4×C61—24no—
162C22×C4×C61—24no—
163C22×C4×C61—24no—
164C22×C4×C61—24no—
165C22×C4×C61—41no—
166C22×C4×C61—41no—
167C22×C4×C61—41no—
168C22×C4×C61—41no—
169C22×C4×C61—42no—
170C22×C4×C61—42no—
171C22×C4×C61—41no—
172C22×C4×C61—41no—
173C22×C4×C61—41no—
174C22×C4×C61—41no—
175C22×C4×C61—41no—
176C22×C4×C61—41no—
177C22×C4×C61—416no—
178C22×C4×C61C2×Q814yes—
179C22×C4×C61C2×Q814yes—
180C22×C4×C61#4114yes—
181C22×C4×C61#4114yes—
182C22×C4×C61C2412yes—
183C22×C4×C61C2412yes—
184C22×C4×C61C2412yes—
185C22×C4×C61C2411yescharacteristic
186C22×C4×C61C2411yescharacteristic
187C22×C4×C61C2411yescharacteristic
188C22×C4×C61C2411yescharacteristic
189C22×C4×C61C2411yescharacteristic
190C22×C4×C61C2411yescharacteristic
191C22×Dic61C2414yes—
192C22×Dic61C2414yes—
193C22×Dic61C2414yes—
194C22×Dic61C2414yes—
195C2×Dic122—24no—
196C2×Dic122—24no—
197C2×Dic122—24no—
198C2×Dic122—24no—
199C2×Dic122—42no—
200C2×Dic122—42no—
201C22⋊C4×C61—24no—
202C22⋊C4×C61—24no—
203C22⋊C4×C61C2×Q818yes—
204C22⋊C4×C61C2×Q818yes—
205C42×C61—24no—
206C42×C61—22no—
207C42×C61—22no—
208C42×C61—42no—
209C42×C61—41no—
210C42×C61—41no—
211C22⋊Dic61—28no—
212C22⋊Dic61—28no—
213C22⋊Dic61—44no—
214C22⋊Dic61—44no—
215C22⋊Dic61—44no—
216C22⋊Dic61—44no—
217C4⋊Dic61—24no—
218C4⋊Dic61—24no—
219C4⋊Dic61—24no—
220C4⋊Dic61—24no—
221C4⋊Dic61—42no—
222C4⋊Dic61—42no—
223C4⋊Dic61—42no—
224C4⋊Dic61—42no—
225C4⋊Dic61—42no—
226C4⋊Dic61—42no—
227#11758196—28no—
228#11758196—28no—
229#11758196—44no—
230#11758196—44no—
231#11758196—44no—
232#11758196—44no—
233C4×Dic61—44no—
234C4×Dic61—44no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—28no—
240C23×C61—22no—
241C23×C61—22no—
242C23×C61—22no—
243C23×C61—22no—
244C23×C61—22no—
245C23×C61—22no—
246C23×C61—44no—
247C23×C61—44no—
248C23×C61—44no—
249C23×C61—44no—
250C23×C61—44no—
251C23×C61—44no—
252C23×C61C22×Q814yes—
253C23×C61C22×Q812yes—
254C23×C61C2×#4112yes—
255C23×C61C2×#4112yes—
256C23×C61C2511yescharacteristic
257C2×C4×C61—22no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—22no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—28no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—22no—
274C2×C4×C61—22no—
275C2×C4×C61—22no—
276C2×C4×C61—44no—
277C2×C4×C61—44no—
278C2×C4×C61—44no—
279C2×C4×C61—48no—
280C2×C4×C61—44no—
281C2×C4×C61—44no—
282C2×C4×C61—48no—
283C2×C4×C61C22×Q814yes—
284C2×C4×C61C22×Q812yes—
285C2×C4×C61C22×Q812yes—
286C2×C4×C61C2×#4112yes—
287C2×C4×C61C2×#4112yes—
288C2×C4×C61C2×#4112yes—
289C2×C4×C61C2×#4112yes—
290C2×C4×C61H(5,𝔽2)12yes—
291C2×C4×C61H(5,𝔽2)12yes—
292C2×Dic61—24no—
293C2×Dic61—24no—
294C2×Dic61—24no—
295C2×Dic61—24no—
296C2×Dic61—24no—
297C2×Dic61—24no—
298C2×Dic61—24no—
299C2×Dic61—24no—
300C2×Dic61—24no—
301C2×Dic61—24no—
302C2×Dic61—24no—
303C2×Dic61—24no—
304Dic122—48no—
305Dic122—84no—
306#35014—611nomaximal, Sylow
307C22×C61—22no—
308C22×C61—22no—
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—24no—
314C22×C61—24no—
315C22×C61—24no—
316C22×C61—416no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61#53314yes—
322C22×C61C23×Q811yescharacteristic
323C22×C61C22×#4111yescharacteristic
324C22×C61C22×#4111yescharacteristic
325C22×C61C2×H(5,𝔽2)11yescharacteristic
326C22×C61C2×H(5,𝔽2)11yescharacteristic
327C22×C61#58511yescharacteristic
328C22×C61#58511yescharacteristic
329C4×C61—22no—
330C4×C61—24no—
331C4×C61—22no—
332C4×C61—22no—
333C4×C61—22no—
334C4×C61—22no—
335C4×C61—42no—
336C4×C61—42no—
337C4×C61#53814yes—
338Dic61—44no—
339Dic61—44no—
340Dic61—44no—
341Dic61—44no—
342#2857—611no—
343#2857—611no—
344#2848—612no—
345#2646—612no—
346#2626—612no—
347#2589—614no—
348#2587—614no—
349#2497—612no—
350#2492—612no—
351#2429—612no—
352#2423—612no—
353#2329—612no—
354#2312—612no—
355C4×C22⋊Q8—612no—
356C2×C4×C22⋊C4D6111yescharacteristic
357C2×C61—24no—
358C2×C61—44no—
359C2×C61C2×#53311yescharacteristic
360C2×C61C2×#53811yescharacteristic
361C2×C61#345511yescharacteristic
362C2×C61#350111yescharacteristic
363C2×C61#350111yescharacteristic
364C2×C61#350511yescharacteristic
365C2×C61#350611yescharacteristic
366C24×C4C2×D6111yescharacteristic
367C2×C4⋊Q8—611no—
368C2×C4⋊Q8—611no—
369C2×C22⋊Q8—612no—
370C2×C22⋊Q8—612no—
371C2×C22⋊Q8—612no—
372C2×C22⋊Q8—612no—
373C2×C4×Q8—612no—
374C22×C22⋊C4C2×D6111yescharacteristic
375C22×C22⋊C4C2×D6111yescharacteristic
376C22×C42C2×D6111yescharacteristic
377C22×C42C2×D6111yescharacteristic
378#400—614no—
379#400—614no—
380#399—614no—
381#398—614no—
382#398—614no—
383#396—614no—
384#396—614no—
385#393—614no—
386#391—612no—
387#391—612no—
388#391—612no—
389#391—614no—
390#389—612no—
391#389—612no—
392#389—612no—
393#389—612no—
394#389—612no—
395#389—614no—
396#388—614no—
397#388—614no—
398#388—614no—
399#388—614no—
400#387—614no—
401#387—614no—
402#387—614no—
403#385—614no—
404#385—614no—
405#385—614no—
406#385—614no—
407#384—611no—
408#384—611no—
409#380—612no—
410#380—612no—
411#380—612no—
412#380—612no—
413#380—612no—
414#380—612no—
415#379—614no—
416C4×C4⋊C4—614no—
417C4×C4⋊C4—612no—
418C4×C22⋊C4—614no—
419C4×C22⋊C4C2×D6112yes—
420C4×C22⋊C4C2×D6112yes—
421C4×C22⋊C4C2×D6112yes—
422C4×C22⋊C4C2×D6112yes—
423C2×#95C2×D6111yescharacteristic
424C2×#95C2×D6111yescharacteristic
425C61#3501411yescharacteristic, complemented, Sylow
426C25C22×D6111yescharacteristic
427C22×Q8—612no—
428C22×Q8—612no—
429C23×C4—24no—
430C23×C4—42no—
431C23×C4—42no—
432C23×C4C22×D6112yes—
433C23×C4C22×D6111yescharacteristic
434C23×C4C22×D6111yescharacteristic
435C23×C4C22×D6111yescharacteristic
436C23×C4C22×D6112yes—
437C23×C4C22×D6111yescharacteristic
438C23×C4C22×D6111yescharacteristic
439C23×C4C22×D6111yescharacteristic
440C4⋊Q8—2442no—
441C4⋊Q8—2442no—
442C22⋊Q8—1228no—
443C22⋊Q8—1228no—
444C22⋊Q8—2444no—
445C22⋊Q8—2444no—
446C4×Q8—2444no—
447C2×C4⋊C4—612no—
448C2×C4⋊C4—612no—
449C2×C4⋊C4—612no—
450C2×C4⋊C4—614no—
451C2×C4⋊C4—612no—
452C2×C4⋊C4—614no—
453C2×C4⋊C4—614no—
454C2×C4⋊C4—614no—
455C2×C4⋊C4—614no—
456C2×C4⋊C4—612no—
457C2×C4⋊C4—612no—
458C2×C4⋊C4—612no—
459C2×C4⋊C4—614no—
460C2×C4⋊C4—612no—
461C2×C4⋊C4—612no—
462C2×C4⋊C4—612no—
463C2×C22⋊C4—24no—
464C2×C22⋊C4—614no—
465C2×C22⋊C4—614no—
466C2×C22⋊C4—614no—
467C2×C22⋊C4—614no—
468C2×C22⋊C4—614no—
469C2×C22⋊C4—614no—
470C2×C22⋊C4Dic12218yescomplemented
471C2×C22⋊C4C22×D6112yes—
472C2×C22⋊C4C22×D6112yes—
473C2×C22⋊C4C22×D6112yes—
474C2×C22⋊C4C22×D6112yes—
475C2×C42—42no—
476C2×C42—42no—
477C2×C42—614no—
478C2×C42—614no—
479C2×C42C22×D6112yes—
480C2×C42C22×D6111yescharacteristic
481C2×C42C22×D6111yescharacteristic
482C2×C42C22×D6112yes—
483C2×C42C22×D6111yescharacteristic
484C2×C42C22×D6111yescharacteristic
485#95—614no—
486#95—614no—
487#95—614no—
488#95—614no—
489#95—614no—
490#95—614no—
491#95—614no—
492#95—614no—
493#95—614no—
494#95—614no—
495#95C22×D6112yes—
496#95C22×D6112yes—
497#95C22×D6112yes—
498#95C22×D6112yes—
499C24—22no—
500C24—22no—
501C24—41no—
502C24—41no—
503C24—41no—
504C24—41no—
505C24C2×Dic12214yes—
506C24C23×D6112yes—
507C24C23×D6111yescharacteristic
508C2×Q8—1224no—
509C2×Q8—1224no—
510C2×Q8—1224no—
511C2×Q8—1224no—
512C2×Q8—2442no—
513C2×Q8—2442no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—24no—
522C22×C4—41no—
523C22×C4—41no—
524C22×C4—41no—
525C22×C4—41no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—41no—
529C22×C4—41no—
530C22×C4—41no—
531C22×C4—41no—
532C22×C4—41no—
533C22×C4—41no—
534C22×C4—416no—
535C22×C4—614no—
536C22×C4—614no—
537C22×C4—614no—
538C22×C4—614no—
539C22×C4C2×Dic12214yes—
540C22×C4C2×Dic12214yes—
541C22×C4#1175822214yes—
542C22×C4#1175822214yes—
543C22×C4C23×D6112yes—
544C22×C4C23×D6112yes—
545C22×C4C23×D6112yes—
546C22×C4C23×D6111yescharacteristic
547C22×C4C23×D6111yescharacteristic
548C22×C4C23×D6111yescharacteristic
549C22×C4C23×D6111yescharacteristic
550C22×C4C23×D6111yescharacteristic
551C22×C4C23×D6111yescharacteristic
552C4⋊C4—1228no—
553C4⋊C4—1228no—
554C4⋊C4—1224no—
555C4⋊C4—1224no—
556C4⋊C4—1224no—
557C4⋊C4—1224no—
558C4⋊C4—2444no—
559C4⋊C4—2444no—
560C4⋊C4—2444no—
561C4⋊C4—2444no—
562C4⋊C4—2442no—
563C4⋊C4—2442no—
564C4⋊C4—2442no—
565C4⋊C4—2442no—
566C4⋊C4—2442no—
567C4⋊C4—2442no—
568C22⋊C4—24no—
569C22⋊C4—24no—
570C22⋊C4—1228no—
571C22⋊C4—1228no—
572C22⋊C4—2444no—
573C22⋊C4—2444no—
574C22⋊C4—2444no—
575C22⋊C4—2444no—
576C22⋊C4C2×Dic12218yes—
577C22⋊C4C2×Dic12218yes—
578C42—24no—
579C42—22no—
580C42—22no—
581C42—42no—
582C42—41no—
583C42—41no—
584C42—2444no—
585C42—2444no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—28no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23C22×Dic12214yes—
604C23C22×Dic12212yes—
605C23C2×#1175822212yes—
606C23C2×#1175822212yes—
607C23C24×D6111yescharacteristic
608Q8—4884no—
609Q8—2448no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—28no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—44no—
630C2×C4—44no—
631C2×C4—44no—
632C2×C4—48no—
633C2×C4—44no—
634C2×C4—44no—
635C2×C4—48no—
636C2×C4—1224no—
637C2×C4—1224no—
638C2×C4—1224no—
639C2×C4—1224no—
640C2×C4—1224no—
641C2×C4—1224no—
642C2×C4—1224no—
643C2×C4—1224no—
644C2×C4—1224no—
645C2×C4—1224no—
646C2×C4—1224no—
647C2×C4—1224no—
648C2×C4C22×Dic12214yes—
649C2×C4C22×Dic12212yes—
650C2×C4C22×Dic12212yes—
651C2×C4C2×#1175822212yes—
652C2×C4C2×#1175822212yes—
653C2×C4C2×#1175822212yes—
654C2×C4C2×#1175822212yes—
655C2×C4#1451982212yes—
656C2×C4#1451982212yes—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—24no—
664C22—24no—
665C22—24no—
666C22—416no—
667C22—42no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22#1684031914yes—
672C22C23×Dic12211yescharacteristic
673C22C22×#1175822211yescharacteristic
674C22C22×#1175822211yescharacteristic
675C22C2×#1451982211yescharacteristic
676C22C2×#1451982211yescharacteristic
677C22#1684059811yescharacteristic
678C22#1684059811yescharacteristic
679C4—24no—
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—2444no—
688C4—2444no—
689C4—2444no—
690C4—2444no—
691C4#1684035014yes—
692C2—24no—
693C2—44no—
694C2C2×#1684031911yescharacteristic
695C2C2×#1684035011yescharacteristic
696C2#2145920911yescharacteristic
697C2#2145962211yescharacteristic
698C2#2145962211yescharacteristic
699C2#2145965811yescharacteristic
700C2#2145967111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC2×C4×C22⋊C4×C61C2
prime radicalC25×C61C23
hypercenterC2×C4×C22⋊C4D61
hypocenterC61#35014
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. #21454171C2semidirect
2. #21454171C2semidirect
4. #21451789C2semidirect
6. #21451264C2semidirect
7. #21451234C2semidirect
8. #21450252C2semidirect
9. #21450193C2semidirect
10. #21449418C2semidirect
11. #21449344C2semidirect
12. #21448552C2semidirect
14. C4×#14519756C2semidirect
16. C2×#14519777C22semidirect
17. C2×#14519777C22semidirect
22. C2×C4×Dic122C22semidirect
23. #16839704C22semidirect
24. #16839704C22semidirect
26. #16839696C22semidirect
27. #16839696C22semidirect
31. #16839668C22semidirect
32. #16839668C22semidirect
33. #16839668C22semidirect
34. #16839666C22semidirect
35. #16839660C22semidirect
36. #16839660C22semidirect
37. #16839660C22semidirect
38. #16839660C22semidirect
39. #16839660C22semidirect
40. #16839659C22semidirect
45. #16839649C22semidirect
46. #16839646C22semidirect
47. #16839645C22semidirect
52. #16839632C22semidirect
53. #16839632C22semidirect
61. C4×#11758196C22semidirect
62. C4×C4⋊Dic61C22semidirect
131. C2×C22⋊C4×C61Q8semidirect
425. C61#35014semidirect
470. C2×C22⋊C4Dic122semidirect

Maximal subgroups

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

subgroupindex
#214541712
#214541062
#214517892
#214516242
#214512642
#214512342
#214502522
#214501932
#214494182
#214493442
#214485522
#214484172
C4×#145197562
C2×C4×C22⋊C4×C612
#3501461