Finite Group Databasebeta

← #29840652

Subgroups — #29840652

Order 15616.

2726 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840273C211yesmaximal, characteristic
2#21448899C212yesmaximal, complemented
3#21448866C212yesmaximal, complemented
4#21448798C214yesmaximal, complemented
5#21448787C212yesmaximal, complemented
6#21448756C212yesmaximal, complemented
7#21448681C212yesmaximal, complemented
8#21448643C212yesmaximal, complemented
9#21448581C212yesmaximal, complemented
10#21448572C212yesmaximal, complemented
11#21448453C212yesmaximal, complemented
12#21448336C214yesmaximal, complemented
13#21448177C212yesmaximal, complemented
14C2×C4×C22⋊Dic61C211yesmaximal, characteristic, complemented
15C2×C61×#381C211yesmaximal, characteristic, complemented
16C22×#11758222C2211yescharacteristic
17#16840273C4116yescomplemented
18C2×#14519760C2212yes—
19C2×#14519756C2211yescharacteristic
20C2×#14519756C2211yescharacteristic
21C2×#14519751C2211yescharacteristic
22C2×#14519751C2211yescharacteristic
23C2×#14519746C2212yes—
24C2×C4×C22⋊D61C2214yes—
25C2×C4×C22⋊D61C2212yes—
26C2×C4×C22⋊D61C2212yes—
27C2×#14519737C2214yes—
28C2×#14519736C2211yescharacteristic
29C22×C22⋊Dic61C2212yes—
30C22×C4×Dic61C2212yes—
31#16839666C2214yescomplemented
32#16839662C2214yes—
33#16839656C2214yes—
34#16839651C2214yescomplemented
35#16839651C2214yescomplemented
36#16839650C2214yes—
37#16839647C2214yescomplemented
38#16839645C2214yescomplemented
39#16839644C2214yescomplemented
40#16839644C2214yescomplemented
41#16839641C2214yes—
42#16839640C2214yescomplemented
43#16839639C2214yes—
44#16839638C2214yes—
45#16839635C2214yes—
46#16839634C2214yes—
47#16839629C2212yescomplemented
48#16839626C2212yescomplemented
49#16839624C2212yescomplemented
50#16839621C2212yescomplemented
51#16839613C2214yescomplemented
52#16839613C2212yescomplemented
53#16839613C2214yescomplemented
54C22⋊C4×Dic61C2214yes—
55C4×C22⋊Dic61C2211yescharacteristic
56C4×C22⋊Dic61C2212yes—
57C4×C22⋊Dic61C2214yes—
58C4×C22⋊Dic61C2212yes—
59C4×C22⋊Dic61C2212yes—
60C4×C22⋊Dic61C2211yescharacteristic
61#16839609C2214yescomplemented
62#16839609C2212yescomplemented
63#16839609C2214yescomplemented
64#16839607C2212yescomplemented
65C2×#14519684C2212yes—
66#95×D61C2212yescomplemented
67C24×C4×C61C2211yescharacteristic
68C22×C22⋊C4×C61C2212yes—
69C61×#381C2211yescharacteristic
70C61×#381C2211yescharacteristic
71C61×#381C2212yes—
72C61×#381C2212yes—
73C61×#381C2212yes—
74C2×#95×C61C2212yes—
75C2×#95×C61C2212yes—
76C2×#11758222—44no—
77C2×#11758222C2×C418yescomplemented
78C22×Dic122C2311yescharacteristic
79C22×D244C2311yescharacteristic
80C22×C22⋊D61C2312yes—
81C22×C22⋊D61C2312yes—
82C22×C22⋊D61C2312yes—
83C23×Dic61C2314yes—
84C22×C4×D61C2314yes—
85C22×C4×D61C2312yes—
86#14519760C2×C4116yescomplemented
87#14519756C2×C418yescomplemented
88#14519756C2×C418yescomplemented
89#14519751C2×C418yescomplemented
90#14519751C2×C418yescomplemented
91#14519746C2×C4116yescomplemented
92C4×C22⋊D61—216no—
93C4×C22⋊D61C2×C4116yescomplemented
94C4×C22⋊D61C2×C4116yescomplemented
95#14519737—48no—
96#14519736C2×C418yescomplemented
97C2×C4⋊Dic61C2311yescharacteristic
98C2×C4⋊Dic61C2311yescharacteristic
99C2×#11758196C2314yes—
100C2×#11758196C2314yes—
101C2×#11758196C2314yes—
102C2×#11758196C2312yes—
103C2×#11758196C2312yes—
104C2×C22⋊Dic61—28no—
105C2×C22⋊Dic61C2312yes—
106C2×C22⋊Dic61C2314yes—
107C2×C22⋊Dic61C2312yes—
108C2×C22⋊Dic61C2312yes—
109C2×C22⋊Dic61C2312yes—
110C2×C22⋊Dic61C2312yes—
111C2×#11758198C2314yes—
112C2×#11758198C2314yes—
113C2×#11758198C2314yes—
114C2×#11758198C2312yes—
115C2×#11758198C2312yes—
116C2×C4×Dic61—44no—
117C2×C4×Dic61C2314yes—
118C2×C4×Dic61C2312yes—
119C2×C4×Dic61C2314yes—
120C2×C4×Dic61C2312yes—
121C2×C4×Dic61C2314yes—
122C2×C4×Dic61C2314yes—
123C2×C4×Dic61C2312yes—
124#14519684C2312yes—
125#14519684C2314yes—
126#14519684C2312yes—
127#14519684C2314yes—
128#14519684C2314yes—
129#14519684C2314yes—
130#14519684C2314yes—
131#14519684C2314yes—
132#14519684C2314yes—
133C25×C61C2311yescharacteristic
134C23×C4×C61—44no—
135C23×C4×C61C2×C418yescomplemented
136C23×C4×C61C2311yescharacteristic
137C23×C4×C61C2311yescharacteristic
138C23×C4×C61C2314yes—
139C23×C4×C61C2311yescharacteristic
140C23×C4×C61C2311yescharacteristic
141C23×C4×C61C2311yescharacteristic
142C23×C4×C61C2311yescharacteristic
143C2×C22⋊C4×C61—44no—
144C2×C22⋊C4×C61C2314yes—
145C2×C22⋊C4×C61C2312yes—
146C2×C22⋊C4×C61C2312yes—
147#95×C61C2312yes—
148#95×C61C2312yes—
149#95×C61C2312yes—
150#95×C61C2314yes—
151#95×C61C2312yes—
152#95×C61C2314yes—
153C24×C61—24no—
154C24×C61—24no—
155C24×C61—42no—
156C24×C61C22×C414yes—
157C24×C61C2411yescharacteristic
158C24×C61C2411yescharacteristic
159C24×C61C2411yescharacteristic
160C23×D61C2412yes—
161C22×C4×C61—24no—
162C22×C4×C61—24no—
163C22×C4×C61—28no—
164C22×C4×C61—416no—
165C22×C4×C61—42no—
166C22×C4×C61—42no—
167C22×C4×C61—42no—
168C22×C4×C61—42no—
169C22×C4×C61—44no—
170C22×C4×C61—44no—
171C22×C4×C61C22×C414yes—
172C22×C4×C61C22×C414yes—
173C22×C4×C61C22×C414yes—
174C22×C4×C61C22×C414yes—
175C22×C4×C61C22×C414yes—
176C22×C4×C61C22×C414yes—
177C22×C4×C61C2414yes—
178C22×C4×C61C2414yes—
179C22×C4×C61C2411yescharacteristic
180C22×C4×C61C2411yescharacteristic
181C22×C4×C61C2411yescharacteristic
182C22×C4×C61C2411yescharacteristic
183C2×C22⋊D61—28no—
184C2×C22⋊D61—28no—
185C2×C22⋊D61—42no—
186C2×C22⋊D61—42no—
187C2×C22⋊D61C22×C418yes—
188C2×C22⋊D61C22×C418yes—
189C2×C22⋊D61C22×C418yes—
190C22×Dic61—28no—
191C22×Dic61—28no—
192C22×Dic61—44no—
193C22×Dic61C2414yes—
194C22×Dic61C2412yes—
195C22×Dic61C2412yes—
196C22×Dic61C2412yes—
197C22×Dic61C2414yes—
198#11758222—416no—
199C2×D244—42no—
200C2×D244C22×C414yes—
201C2×C4×D61—28no—
202C2×C4×D61—44no—
203C2×C4×D61—44no—
204C2×C4×D61—44no—
205C2×C4×D61C22×C418yes—
206C2×Dic122—42no—
207C2×Dic122C22×C414yes—
208C22⋊C4×C61—28no—
209C22⋊C4×C61—42no—
210C22⋊C4×C61—42no—
211C22⋊Dic61—24no—
212C22⋊Dic61—28no—
213C22⋊Dic61C22×C418yes—
214C22⋊Dic61C22×C418yes—
215C22⋊Dic61C22×C418yes—
216C22⋊Dic61#4118yescomplemented
217#11758198—28no—
218#11758198—44no—
219#11758198—44no—
220#11758198C22×C418yes—
221#11758198C22×C418yes—
222C4⋊Dic61C22×C414yes—
223C4⋊Dic61C22×C414yes—
224#11758196—28no—
225#11758196—44no—
226#11758196—44no—
227#11758196C22×C418yes—
228#11758196C22×C418yes—
229C4×Dic61—28no—
230C4×Dic61—42no—
231C4×Dic61—44no—
232C4×Dic61—42no—
233C4×Dic61—44no—
234C4×Dic61—44no—
235C4×Dic61C22×C418yes—
236C23×C61—22no—
237C23×C61—22no—
238C23×C61—22no—
239C23×C61—22no—
240C23×C61—28no—
241C23×C61—28no—
242C23×C61—22no—
243C23×C61—22no—
244C23×C61—22no—
245C23×C61—44no—
246C23×C61—416no—
247C23×C61C23×C412yes—
248C23×C61C23×C412yes—
249C23×C61C23×C412yes—
250C23×C61C2×#4114yes—
251C23×C61H(5,𝔽2)14yes—
252C23×C61C2511yescharacteristic
253C22×D61—24no—
254C22×D61—24no—
255C22×D61—22no—
256C22×D61—22no—
257C22×D61C23×C414yes—
258C2×C4×C61—28no—
259C2×C4×C61—28no—
260C2×C4×C61—22no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—24no—
265C2×C4×C61—24no—
266C2×C4×C61—24no—
267C2×C4×C61—24no—
268C2×C4×C61—24no—
269C2×C4×C61—24no—
270C2×C4×C61—44no—
271C2×C4×C61—44no—
272C2×C4×C61—44no—
273C2×C4×C61—44no—
274C2×C4×C61—88no—
275C2×C4×C61C23×C412yes—
276C2×C4×C61C23×C412yes—
277C2×C4×C61C23×C412yes—
278C2×C4×C61C23×C412yes—
279C22⋊D61—216no—
280C22⋊D61—216no—
281C22⋊D61—48no—
282C2×Dic61—24no—
283C2×Dic61—24no—
284C2×Dic61—24no—
285C2×Dic61—22no—
286C2×Dic61—24no—
287C2×Dic61—22no—
288C2×Dic61—24no—
289C2×Dic61—24no—
290C2×Dic61—24no—
291C2×Dic61—416no—
292C2×Dic61C23×C414yes—
293C2×Dic61C23×C414yes—
294C2×Dic61C23×C414yes—
295C2×Dic61C2×#4118yes—
296D244—44no—
297C4×D61—48no—
298C4×D61—88no—
299Dic122—44no—
300#34228—611nomaximal, Sylow
301C22×C61—22no—
302C22×C61—22no—
303C22×C61—22no—
304C22×C61—22no—
305C22×C61—28no—
306C22×C61—28no—
307C22×C61—22no—
308C22×C61—22no—
309C22×C61—22no—
310C22×C61—416no—
311C22×C61—44no—
312C22×C61C4×#4114yes—
313C22×C61#51814yes—
314C22×C61C24×C411yescharacteristic
315C22×C61C22×#4112yes—
316C22×C61C2×H(5,𝔽2)12yes—
317C22×C61#58512yes—
318C2×D61—24no—
319C2×D61—24no—
320C2×D61—24no—
321C2×D61—44no—
322C2×D61—44no—
323C4×C61—22no—
324C4×C61—22no—
325C4×C61—22no—
326C4×C61—22no—
327C4×C61—44no—
328C4×C61—44no—
329Dic61—24no—
330Dic61—24no—
331Dic61—24no—
332Dic61—28no—
333Dic61—44no—
334C2×#525—611no—
335#2368—612no—
336#2364—612no—
337#2358—614no—
338#2357—612no—
339#2353—612no—
340#2343—612no—
341#2339—612no—
342#2333—612no—
343#2332—612no—
344#2318—612no—
345C4×#123—614no—
346C2×#381D6111yescharacteristic, complemented
347#2275—612no—
348C2×C4×C22⋊C4—611no—
349C2×C61—24no—
350C2×C61—24no—
351C2×C61—42no—
352C2×C61C2×C4×#4111yescharacteristic
353C2×C61C2×#51811yescharacteristic
354C2×C61#342811yescharacteristic
355C2×C61#351314yes—
356D61—44no—
357C22×#41—611no—
358C24×C4C2×D6111yescharacteristic
359#525—6116no—
360C2×#123—612no—
361C2×C22⋊Q8—611no—
362C2×C22⋊Q8—611no—
363C2×#121—611no—
364C2×#121—611no—
365C2×#120—612no—
366C2×C4×D4—612no—
367C2×C4×D4—612no—
368C2×C4×D4—614no—
369C2×C4×D4—614no—
370C2×#117—611no—
371C22×C22⋊C4—612no—
372C22×C22⋊C4C2×D6112yes—
373C22×C42—612no—
374#391—614no—
375#390—614no—
376#388—614no—
377#388—614no—
378#388—614no—
379#388—614no—
380#387—614no—
381#387—614no—
382#387—614no—
383#387—614no—
384#386—614no—
385#386—614no—
386#386—614no—
387#386—614no—
388#385—614no—
389#385—614no—
390#383—612no—
391#382—612no—
392#381—612no—
393#381C2×D6112yes—
394#381C2×D6112yes—
395#381C2×D6111yescharacteristic
396#381C2×D6111yescharacteristic
397#381C2×D6112yes—
398#380—612no—
399C4×C4⋊C4—614no—
400C4×C4⋊C4—612no—
401C4×C4⋊C4—614no—
402C4×C22⋊C4—611no—
403C4×C22⋊C4—612no—
404C4×C22⋊C4—612no—
405C4×C22⋊C4—614no—
406C4×C22⋊C4—612no—
407C4×C22⋊C4—611no—
408C4×C22⋊C4—614no—
409C4×C22⋊C4—614no—
410C4×C22⋊C4—612no—
411C4×C22⋊C4—614no—
412#376—612no—
413C2×#95—612no—
414C2×#95—612no—
415C2×#95C2×D6112yes—
416C2×#95C2×D6112yes—
417C61#3422811yescharacteristic, complemented, Sylow
418C25C22×D6111yescharacteristic
419C2×#41—618no—
420C2×#41—2444no—
421C22×Q8—611no—
422C22×D4—612no—
423C22×D4—612no—
424C22×D4—612no—
425C22×D4—611no—
426C23×C4—44no—
427C23×C4—612no—
428C23×C4—614no—
429C23×C4—614no—
430C23×C4C4×D6118yescomplemented
431C23×C4C22×D6111yescharacteristic
432C23×C4C22×D6111yescharacteristic
433C23×C4C22×D6114yes—
434C23×C4C22×D6111yescharacteristic
435C23×C4C22×D6111yescharacteristic
436C23×C4C22×D6111yescharacteristic
437C23×C4C22×D6111yescharacteristic
438#123—6116no—
439C22⋊Q8—618no—
440C22⋊Q8—618no—
441#121—618no—
442#121—618no—
443#120—6116no—
444C4×D4—6116no—
445C4×D4—6116no—
446C4×D4—12216no—
447C4×D4—2448no—
448#117—618no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—612no—
452C2×C4⋊C4—612no—
453C2×C4⋊C4—614no—
454C2×C4⋊C4—614no—
455C2×C4⋊C4—614no—
456C2×C22⋊C4—44no—
457C2×C22⋊C4—612no—
458C2×C22⋊C4—612no—
459C2×C22⋊C4—612no—
460C2×C22⋊C4—612no—
461C2×C22⋊C4—612no—
462C2×C22⋊C4—612no—
463C2×C22⋊C4—612no—
464C2×C22⋊C4—614no—
465C2×C22⋊C4—614no—
466C2×C22⋊C4—614no—
467C2×C22⋊C4—614no—
468C2×C22⋊C4—1228no—
469C2×C22⋊C4C22×D6114yes—
470C2×C22⋊C4C22×D6112yes—
471C2×C22⋊C4C22×D6112yes—
472C2×C42—612no—
473C2×C42—614no—
474C2×C42—614no—
475C2×C42—612no—
476C2×C42—614no—
477C2×C42—614no—
478C2×C42—612no—
479C2×C42—2444no—
480#95—612no—
481#95—612no—
482#95—614no—
483#95—614no—
484#95—614no—
485#95—614no—
486#95—614no—
487#95—614no—
488#95—614no—
489#95C22×D6112yes—
490#95C22×D6112yes—
491#95C22×D6112yes—
492#95C22×D6114yes—
493#95C22×D6112yes—
494#95C22×D6114yes—
495C24—24no—
496C24—24no—
497C24—42no—
498C24—612no—
499C24C2×C4×D6114yes—
500C24C23×D6111yescharacteristic
501C24C23×D6111yescharacteristic
502C24C23×D6111yescharacteristic
503#41—24416no—
504C2×Q8—614no—
505C2×Q8—2442no—
506C2×D4—618no—
507C2×D4—618no—
508C2×D4—618no—
509C2×D4—614no—
510C2×D4—1228no—
511C2×D4—1228no—
512C2×D4—2442no—
513C2×D4—2442no—
514C2×D4—2442no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—28no—
518C22×C4—416no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—614no—
526C22×C4—612no—
527C22×C4—612no—
528C22×C4—612no—
529C22×C4—618no—
530C22×C4—614no—
531C22×C4—1228no—
532C22×C4—1228no—
533C22×C4—1228no—
534C22×C4—2444no—
535C22×C4—2444no—
536C22×C4—2444no—
537C22×C4—2444no—
538C22×C4C2×C4×D6114yes—
539C22×C4C2×C4×D6114yes—
540C22×C4C2×C4×D6114yes—
541C22×C4C2×C4×D6114yes—
542C22×C4C2×C4×D6114yes—
543C22×C4C2×C4×D6114yes—
544C22×C4C23×D6114yes—
545C22×C4C23×D6114yes—
546C22×C4C23×D6111yescharacteristic
547C22×C4C23×D6111yescharacteristic
548C22×C4C23×D6111yescharacteristic
549C22×C4C23×D6111yescharacteristic
550C4⋊C4—618no—
551C4⋊C4—618no—
552C4⋊C4—614no—
553C4⋊C4—614no—
554C4⋊C4—1228no—
555C4⋊C4—2444no—
556C4⋊C4—2444no—
557C22⋊C4—28no—
558C22⋊C4—42no—
559C22⋊C4—42no—
560C22⋊C4—618no—
561C22⋊C4—618no—
562C22⋊C4—618no—
563C22⋊C4—618no—
564C22⋊C4—618no—
565C22⋊C4—618no—
566C22⋊C4—1228no—
567C22⋊C4—1228no—
568C22⋊C4—1224no—
569C22⋊C4—2444no—
570C22⋊C4—2444no—
571C42—618no—
572C42—1228no—
573C42—2442no—
574C42—2444no—
575C42—2442no—
576C42—2444no—
577C42—2444no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—28no—
583C23—28no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—44no—
588C23—416no—
589C23—614no—
590C23—1224no—
591C23—1224no—
592C23—1222no—
593C23—1222no—
594C23C22×C4×D6112yes—
595C23C22×C4×D6112yes—
596C23C22×C4×D6112yes—
597C23#41×D6114yes—
598C23#1451982214yes—
599C23C24×D6111yescharacteristic
600Q8—2444no—
601D4—12216no—
602D4—12216no—
603D4—2444no—
604D4—2448no—
605C2×C4—28no—
606C2×C4—28no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—44no—
620C2×C4—44no—
621C2×C4—88no—
622C2×C4—614no—
623C2×C4—614no—
624C2×C4—614no—
625C2×C4—618no—
626C2×C4—1224no—
627C2×C4—1224no—
628C2×C4—1224no—
629C2×C4—1222no—
630C2×C4—1224no—
631C2×C4—1222no—
632C2×C4—1224no—
633C2×C4—1224no—
634C2×C4—1224no—
635C2×C4—4888no—
636C2×C4—2448no—
637C2×C4—24416no—
638C2×C4C22×C4×D6112yes—
639C2×C4C22×C4×D6112yes—
640C2×C4C22×C4×D6112yes—
641C2×C4C22×C4×D6112yes—
642C22—28no—
643C22—28no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—416no—
652C22—44no—
653C22—1224no—
654C22—1224no—
655C22—1224no—
656C22—2444no—
657C22—2444no—
658C22#1684023014yes—
659C22#1684023514yes—
660C22C23×C4×D6111yescharacteristic
661C22C2×#41×D6112yes—
662C22C2×#1451982212yes—
663C22#1684059812yes—
664C4—22no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—44no—
669C4—44no—
670C4—1228no—
671C4—1224no—
672C4—1224no—
673C4—1224no—
674C4—2444no—
675C2—24no—
676C2—24no—
677C2—42no—
678C2—2444no—
679C2C2×#1684023011yescharacteristic
680C2C2×#1684023511yescharacteristic
681C2#2145902011yescharacteristic
682C2#2145975114yes—
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC2×C61×#381C2
socle, cosocleC23×C61C25
prime radicalC2×#16840273C2
hypercenterC2×#381D61
hypocenterC61#34228
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#381

Complements

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

NH ≅ G/Ntype
2. #21448899C2semidirect
3. #21448866C2semidirect
4. #21448798C2semidirect
5. #21448787C2semidirect
6. #21448756C2semidirect
7. #21448681C2semidirect
8. #21448643C2semidirect
9. #21448581C2semidirect
10. #21448572C2semidirect
11. #21448453C2semidirect
12. #21448336C2semidirect
13. #21448177C2semidirect
14. C2×C4×C22⋊Dic61C2semidirect
15. C2×C61×#381C2semidirect
17. #16840273C4semidirect
31. #16839666C22semidirect
34. #16839651C22semidirect
35. #16839651C22semidirect
37. #16839647C22semidirect
38. #16839645C22semidirect
39. #16839644C22semidirect
40. #16839644C22semidirect
42. #16839640C22semidirect
47. #16839629C22semidirect
48. #16839626C22semidirect
49. #16839624C22semidirect
50. #16839621C22semidirect
51. #16839613C22semidirect
52. #16839613C22semidirect
53. #16839613C22semidirect
61. #16839609C22semidirect
62. #16839609C22semidirect
63. #16839609C22semidirect
64. #16839607C22semidirect
66. #95×D61C22semidirect
77. C2×#11758222C2×C4semidirect
86. #14519760C2×C4semidirect
87. #14519756C2×C4semidirect
88. #14519756C2×C4semidirect
89. #14519751C2×C4semidirect
90. #14519751C2×C4semidirect
91. #14519746C2×C4semidirect
93. C4×C22⋊D61C2×C4semidirect
94. C4×C22⋊D61C2×C4semidirect
96. #14519736C2×C4semidirect
135. C23×C4×C61C2×C4semidirect
216. C22⋊Dic61#41semidirect
346. C2×#381D61semidirect
417. C61#34228semidirect
430. C23×C4C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168402732
#214488992
#214488662
#214487982
#214487872
#214487562
#214486812
#214486432
#214485812
#214485722
#214484532
#214483362
#214481772
C2×C4×C22⋊Dic612
C2×C61×#3812
#3422861