Finite Group Databasebeta

← #30616253

Subgroups — #30616253

Order 15616.

1658 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840741C214yesmaximal, complemented
2#21462268C211yesmaximal, characteristic, complemented
3C4×#14519856C211yesmaximal, characteristic, complemented
4#21461960C214yesmaximal, complemented
5#21461959C212yesmaximal, complemented
6#21461958C212yesmaximal, complemented
7C2×#16840309C211yesmaximal, characteristic
8C2×#14519856C2212yes—
9C2×#14519856C2212yes—
10#16840741—216no—
11C2×#14519836C2218yes—
12C2×#14519835C2218yes—
13#16840708—21no—
14#16840706—21no—
15#16840704C2212yes—
16#16840704C2212yes—
17C4×C4⋊#6923—21no—
18C4×C4⋊#6923—21no—
19C4×C4⋊#6923—21no—
20C4×C4⋊#6923—21no—
21C4×C22⋊#6923C2212yes—
22C4×C22⋊#6923C2212yes—
23#16840698—21no—
24C42×#6923—21no—
25C22×#11758222C2212yes—
26#16840309—21no—
27#16840309—21no—
28#16840309—21no—
29#16840309—21no—
30#16840309—21no—
31#16840309—21no—
32#16840309—21no—
33#16840309—21no—
34C2×#14519776C411yescharacteristic, complemented
35C2×#14519773C411yescharacteristic, complemented
36C2×#14519763C412yescomplemented
37C2×#14519752C2211yescharacteristic
38C2×#14519750C2212yes—
39C2×#14519748C2211yescharacteristic
40C2×C4×D244C411yescharacteristic, complemented
41C2×C4×C22⋊D61C412yescomplemented
42C2×C42×D61C2211yescharacteristic
43C2×C4×D4×C61C411yescharacteristic, complemented
44#14519856—24no—
45#14519856—28no—
46#14519856D418yescomplemented
47C2×C4⋊#6923—22no—
48C2×C4⋊#6923—22no—
49C2×C4⋊#6923—22no—
50C2×C4⋊#6923—22no—
51C2×C22⋊#6923C2314yes—
52C2×C22⋊#6923C2314yes—
53C2×C4×#6923—22no—
54C2×C4×#6923—22no—
55C2×C4×#6923—22no—
56C2×C4×#6923—22no—
57#14519836—216no—
58#14519835—216no—
59(C2×#6923)⋊C4—22no—
60(C2×#6923)⋊C4—22no—
61(C2×#6923)⋊C4—22no—
62(C2×#6923)⋊C4—22no—
63C2×#11758222—28no—
64C2×#11758222—22no—
65C2×#11758222—22no—
66C2×#11758222—22no—
67C2×#11758222—22no—
68C2×#11758222—28no—
69C22×Dic122C2×C412yes—
70C22×D244C2×C411yescharacteristic
71C22×D244C2312yes—
72C22×C22⋊D61C2×C412yes—
73C22×C22⋊D61C2×C412yes—
74C22×C22⋊D61C2312yes—
75C22×C4×D61C2×C412yes—
76C22×C4×D61C2311yescharacteristic
77C22×C4×D61C2311yescharacteristic
78C22×C4×D61C2311yescharacteristic
79#14519776—21no—
80#14519776—21no—
81#14519776—21no—
82#14519776—21no—
83#14519773—21no—
84#14519773—21no—
85#14519773—21no—
86#14519773—21no—
87#14519763—22no—
88#14519763—22no—
89#14519763—22no—
90#14519763—22no—
91#14519752—21no—
92#14519752—21no—
93#14519752—21no—
94#14519752—21no—
95#14519750—22no—
96#14519750—22no—
97#14519750—22no—
98#14519750—22no—
99#14519748—21no—
100#14519748—21no—
101#14519748—21no—
102#14519748—21no—
103C4×D244—21no—
104C4×D244—21no—
105C4×D244—21no—
106C4×D244—21no—
107C4×C22⋊D61—22no—
108C4×C22⋊D61—22no—
109C4×C22⋊D61—22no—
110C4×C22⋊D61—22no—
111C2×C4⋊Dic61C2×C411yescharacteristic
112C2×#11758196C2×C412yes—
113C2×C22⋊Dic61C2×C412yes—
114C2×#11758198C2×C412yes—
115C2×#11758198C2×C412yes—
116C2×C4×Dic61C2×C411yescharacteristic
117C2×C4×Dic61C2×C411yescharacteristic
118C2×C4×Dic61C2×C411yescharacteristic
119C42×D61D411yescharacteristic
120C42×D61D411yescharacteristic
121C42×D61D411yescharacteristic
122C42×D61D411yescharacteristic
123C42×D61D411yescharacteristic
124C42×D61D411yescharacteristic
125C42×D61D411yescharacteristic
126C42×D61D411yescharacteristic
127C22×D4×C61C2×C411yescharacteristic
128C23×C4×C61C2×C412yes—
129C4×D4×C61—21no—
130C4×D4×C61—21no—
131C4×D4×C61—21no—
132C4×D4×C61—21no—
133C2×C4⋊C4×C61C2×C411yescharacteristic
134C2×C22⋊C4×C61C2×C412yes—
135C2×C42×C61C2×C411yescharacteristic
136C24×C61C22×C412yes—
137C23×D61C22×C412yes—
138C23×D61C2411yescharacteristic
139C22×#6923—24no—
140C22×#6923—24no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—42no—
144C22×C4×C61—22no—
145C22×C4×C61—22no—
146C22×C4×C61—28no—
147C22×C4×C61C22×C412yes—
148C22×C4×C61C22×C411yescharacteristic
149C22×C4×C61C22×C411yescharacteristic
150C22×C4×C61C22×C411yescharacteristic
151C2×C22⋊D61—24no—
152C2×C22⋊D61—22no—
153C2×C22⋊D61—22no—
154C2×C22⋊D61—24no—
155C2×C22⋊D61—22no—
156C2×C22⋊D61—22no—
157C2×C22⋊D61—22no—
158C2×C22⋊D61—22no—
159C2×C22⋊D61—28no—
160C2×C22⋊D61—44no—
161C22×Dic61C22×C412yes—
162C22×Dic61C22×C411yescharacteristic
163C22×Dic61C22×C411yescharacteristic
164C22×Dic61C22×C411yescharacteristic
165#11758222—48no—
166#11758222—48no—
167#11758222—44no—
168#11758222—44no—
169#11758222—44no—
170#11758222—44no—
171C2×D244—24no—
172C2×D244—22no—
173C2×D244—22no—
174C2×D244—24no—
175C2×D244—21no—
176C2×D244—21no—
177C2×D244—42no—
178C2×C4×D61—22no—
179C2×C4×D61—22no—
180C2×C4×D61—28no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61C2×D411yescharacteristic
184C2×C4×D61C2×D411yescharacteristic
185C2×C4×D61C2×D411yescharacteristic
186C2×C4×D61C2×D411yescharacteristic
187C2×C4×D61C2×D411yescharacteristic
188C2×C4×D61C2×D411yescharacteristic
189C2×C4×D61C2×D411yescharacteristic
190C2×C4×D61C2×D411yescharacteristic
191C2×C4×D61C2×D411yescharacteristic
192C2×C4×D61C2×D411yescharacteristic
193C2×C4×D61C2×D414yes—
194C2×C4×D61C2×D411yescharacteristic
195C2×C4×D61C2×D411yescharacteristic
196C2×C4×D61#4114yes—
197C2×Dic122—22no—
198C2×Dic122—22no—
199C2×Dic122—28no—
200C22⋊#6923—24no—
201C22⋊#6923—28no—
202C22⋊#6923C2×D418yes—
203C4⋊#6923—28no—
204C4⋊#6923—44no—
205C4⋊#6923—44no—
206C4⋊#6923—44no—
207C4×#6923—28no—
208C4×#6923—44no—
209C4×#6923—44no—
210C4×#6923—44no—
211C4⋊C4×C61—21no—
212C4⋊C4×C61—21no—
213C22⋊C4×C61—22no—
214C22⋊C4×C61—22no—
215C42×C61C22⋊C411yescharacteristic
216C42×C61C22⋊C411yescharacteristic
217C42×C61C22⋊C411yescharacteristic
218C42×C61C22⋊C411yescharacteristic
219C22⋊Dic61—22no—
220C22⋊Dic61—22no—
221#11758198—22no—
222#11758198—22no—
223#11758198—22no—
224#11758198—22no—
225C4⋊Dic61—21no—
226C4⋊Dic61—21no—
227#11758196—22no—
228#11758196—22no—
229C4×Dic61C22⋊C411yescharacteristic
230C4×Dic61C22⋊C411yescharacteristic
231C4×Dic61C22⋊C411yescharacteristic
232C4×Dic61C22⋊C411yescharacteristic
233C4×Dic61C22⋊C411yescharacteristic
234C4×Dic61C22⋊C411yescharacteristic
235C4×Dic61C22⋊C411yescharacteristic
236C4×Dic61C22⋊C411yescharacteristic
237C4×Dic61C22⋊C411yescharacteristic
238C4×Dic61C22⋊C411yescharacteristic
239C4×Dic61C22⋊C411yescharacteristic
240C4×Dic61C22⋊C411yescharacteristic
241C23×C61—22no—
242C23×C61—24no—
243C23×C61—42no—
244C23×C61—42no—
245C23×C61C23×C411yescharacteristic
246C22×D61—22no—
247C22×D61—24no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—42no—
251C22×D61—42no—
252C22×D61C22×D411yescharacteristic
253C22×D61C22×D411yescharacteristic
254C22×D61C22×D412yes—
255C22×D61C2×#4112yes—
256C2×#6923—28no—
257C2×#6923—44no—
258C2×#6923—44no—
259C2×#6923—44no—
260C2×#6923—44no—
261C2×#6923—44no—
262D4×C61—42no—
263D4×C61—42no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—24no—
267C2×C4×C61—41no—
268C2×C4×C61—44no—
269C2×C4×C61—44no—
270C2×C4×C61C2×C22⋊C411yescharacteristic
271C2×C4×C61C2×C22⋊C411yescharacteristic
272C2×C4×C61C2×C22⋊C411yescharacteristic
273C2×C4×C61C2×C22⋊C411yescharacteristic
274C2×C4×C61C2×C22⋊C411yescharacteristic
275C2×C4×C61C2×C22⋊C411yescharacteristic
276C2×C4×C61C4×D414yes—
277C22⋊D61—44no—
278C22⋊D61—44no—
279C22⋊D61—42no—
280C22⋊D61—42no—
281C22⋊D61—44no—
282C22⋊D61—44no—
283C22⋊D61—44no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—24no—
287C2×Dic61—41no—
288C2×Dic61C2×C22⋊C411yescharacteristic
289C2×Dic61C2×C22⋊C411yescharacteristic
290C2×Dic61C2×C22⋊C411yescharacteristic
291C2×Dic61C2×C22⋊C411yescharacteristic
292C2×Dic61C2×C22⋊C411yescharacteristic
293C2×Dic61C2×C22⋊C411yescharacteristic
294C2×Dic61C4×D414yes—
295D244—42no—
296D244—44no—
297D244—42no—
298D244—42no—
299D244—42no—
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—22no—
304C4×D61—41no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—41no—
308C4×D61—44no—
309C4×D61—44no—
310C4×D61#12114yes—
311C4×D61#12114yes—
312C4×D61#12412yes—
313C4×D61#12412yes—
314C4×D61#12712yes—
315C4×D61#12712yes—
316Dic122—44no—
317Dic122—44no—
318#21212—611nomaximal, Sylow
319C22×C61—21no—
320C22×C61—21no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—42no—
324C22×C61—84no—
325C22×C61C22×C22⋊C411yescharacteristic
326C22×C61C2×C4×D412yes—
327C2×D61—21no—
328C2×D61—21no—
329C2×D61—21no—
330C2×D61—21no—
331C2×D61—42no—
332C2×D61—42no—
333C2×D61—42no—
334C2×D61—42no—
335C2×D61—42no—
336C2×D61—84no—
337C2×D61C2×#12112yes—
338C2×D61C2×#12411yescharacteristic
339C2×D61C2×#12711yescharacteristic
340#6923—48no—
341#6923—84no—
342C4×C61—21no—
343C4×C61—21no—
344C4×C61—21no—
345C4×C61—42no—
346C4×C61#39012yes—
347C4×C61#39012yes—
348C4×C61#41012yescomplemented
349Dic61—21no—
350Dic61—21no—
351Dic61—21no—
352Dic61—42no—
353Dic61#39012yes—
354Dic61#39012yes—
355Dic61#41012yescomplemented
356C2×#532—611no—
357C2×#410—614no—
358#2285—611no—
359C4×#117—611no—
360#1964—612no—
361#1964—612no—
362#1964—614no—
363C2×C61—22no—
364C2×C61—82no—
365C2×C61C2×#39011yescharacteristic
366C2×C61C2×#41011yescharacteristic
367C2×C61C2×#41011yescharacteristic
368D61—22no—
369D61—21no—
370D61—21no—
371D61—82no—
372C22×#41—612no—
373#532—1221no—
374#532—1221no—
375#532—1221no—
376#532—1221no—
377#532—1221no—
378#532—1221no—
379#532—1221no—
380#532—1221no—
381C2×C4⋊Q8—611no—
382C2×#127—611no—
383C2×#124—612no—
384C2×#121—611no—
385C2×#121—611no—
386C2×#121—612no—
387C2×C4×D4—612no—
388C2×C4×D4—611no—
389C2×C4×D4#692311yescharacteristic, complemented
390C2×#117—612no—
391C2×#117—612no—
392C22×C42—611no—
393#410—12216no—
394C2×#99—618no—
395C2×#99—618no—
396#384—1221no—
397#382—1221no—
398#380—612no—
399#380—612no—
400C4×C4⋊C4—1221no—
401C4×C4⋊C4—1221no—
402C4×C4⋊C4—1221no—
403C4×C4⋊C4—1221no—
404C4×C22⋊C4—612no—
405C4×C22⋊C4—612no—
406#376—1221no—
407C43—1221no—
408C61#2121211yescharacteristic, complemented, Sylow
409C2×#41—1222no—
410C2×#41—1222no—
411C2×#41—1222no—
412C2×#41—1222no—
413C2×#41—1228no—
414C2×#41—1228no—
415C22×Q8—612no—
416C22×D4—612no—
417C22×D4—612no—
418C22×D4—612no—
419C22×D4—612no—
420C22×D4—611no—
421C22×D4C2×#692311yescharacteristic
422C23×C4—611no—
423C23×C4—611no—
424C23×C4—611no—
425C23×C4—612no—
426C23×C4C2×#692312yes—
427C4⋊Q8—1221no—
428C4⋊Q8—1221no—
429C4⋊Q8—1221no—
430C4⋊Q8—1221no—
431#127—1221no—
432#127—1221no—
433#127—1221no—
434#127—1221no—
435#124—1222no—
436#124—1222no—
437#124—1222no—
438#124—1222no—
439#121—1222no—
440#121—1222no—
441#121—1222no—
442#121—1222no—
443#121—1221no—
444#121—1221no—
445#121—1221no—
446#121—1221no—
447#121—1221no—
448#121—1221no—
449#121—1221no—
450#121—1221no—
451C4×D4—21no—
452C4×D4—21no—
453C4×D4—21no—
454C4×D4—21no—
455C4×D4—1222no—
456C4×D4—1222no—
457C4×D4—1222no—
458C4×D4—1222no—
459C4×D4—1221no—
460C4×D4—1221no—
461C4×D4—1221no—
462C4×D4—1221no—
463#117—618no—
464#117—1224no—
465#117—1228no—
466C2×C4⋊C4—612no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4—1222no—
469C2×C4⋊C4—1222no—
470C2×C4⋊C4—1222no—
471C2×C4⋊C4—1222no—
472C2×C4⋊C4C2×#692311yescharacteristic
473C2×C22⋊C4—614no—
474C2×C22⋊C4—612no—
475C2×C22⋊C4—612no—
476C2×C22⋊C4—612no—
477C2×C22⋊C4—614no—
478C2×C22⋊C4C2×#692312yes—
479C2×C42—611no—
480C2×C42—611no—
481C2×C42—611no—
482C2×C42—611no—
483C2×C42—611no—
484C2×C42—611no—
485C2×C42—611no—
486C2×C42—611no—
487C2×C42—611no—
488C2×C42—611no—
489C2×C42—611no—
490C2×C42—1222no—
491C2×C42—1222no—
492C2×C42—1222no—
493C2×C42—1222no—
494C2×C42C2×#692311yescharacteristic
495#99—12216no—
496#99—12216no—
497#95—1222no—
498#95—1222no—
499#95—1222no—
500#95—1222no—
501C24—611no—
502C24—612no—
503C24C22×#692312yes—
504#41—2448no—
505#41—2448no—
506#41—2444no—
507#41—2444no—
508#41—2444no—
509#41—2444no—
510C2×Q8—1222no—
511C2×Q8—1222no—
512C2×Q8—1228no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—42no—
516C2×D4—1224no—
517C2×D4—1222no—
518C2×D4—1222no—
519C2×D4—1224no—
520C2×D4—1222no—
521C2×D4—1222no—
522C2×D4—1222no—
523C2×D4—1222no—
524C2×D4—1228no—
525C2×D4—1224no—
526C2×D4—1222no—
527C2×D4—1222no—
528C2×D4—1224no—
529C2×D4—1221no—
530C2×D4—1221no—
531C2×D4—2442no—
532C2×D4—2444no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—28no—
536C22×C4—611no—
537C22×C4—611no—
538C22×C4—611no—
539C22×C4—611no—
540C22×C4—611no—
541C22×C4—614no—
542C22×C4—614no—
543C22×C4—611no—
544C22×C4—611no—
545C22×C4—611no—
546C22×C4—611no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—611no—
551C22×C4—611no—
552C22×C4—611no—
553C22×C4—612no—
554C22×C4—1224no—
555C22×C4—1222no—
556C22×C4—1222no—
557C22×C4—1228no—
558C22×C4—1224no—
559C22×C4—2442no—
560C22×C4—2442no—
561C22×C4C22×#692312yes—
562C22×C4C22×#692311yescharacteristic
563C22×C4C22×#692311yescharacteristic
564C22×C4C22×#692311yescharacteristic
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—1222no—
568C4⋊C4—1222no—
569C4⋊C4—1228no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—2444no—
573C4⋊C4—2444no—
574C4⋊C4—2444no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—618no—
578C22⋊C4—1222no—
579C22⋊C4—1222no—
580C22⋊C4—1222no—
581C22⋊C4—1222no—
582C22⋊C4—1224no—
583C22⋊C4—1222no—
584C22⋊C4—1222no—
585C22⋊C4—1228no—
586C42—611no—
587C42—611no—
588C42—611no—
589C42—611no—
590C42—611no—
591C42—611no—
592C42—611no—
593C42—611no—
594C42—611no—
595C42—611no—
596C42—611no—
597C42—611no—
598C42—1228no—
599C42—2444no—
600C42—2444no—
601C42—2444no—
602C42C22⋊#692311yescharacteristic
603C42C22⋊#692311yescharacteristic
604C42C22⋊#692311yescharacteristic
605C42C22⋊#692311yescharacteristic
606C23—22no—
607C23—24no—
608C23—42no—
609C23—42no—
610C23—611no—
611C23—611no—
612C23—612no—
613C23—612no—
614C23—1224no—
615C23—1222no—
616C23—2441no—
617C23—2441no—
618C23—2442no—
619C23—2442no—
620C23C23×#692311yescharacteristic
621Q8—2444no—
622Q8—2444no—
623D4—42no—
624D4—42no—
625D4—2442no—
626D4—2444no—
627D4—2442no—
628D4—2442no—
629D4—2444no—
630D4—2444no—
631D4—2444no—
632D4—2444no—
633D4—2444no—
634D4—2442no—
635D4—2442no—
636D4—2442no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—41no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—611no—
644C2×C4—611no—
645C2×C4—611no—
646C2×C4—614no—
647C2×C4—614no—
648C2×C4—614no—
649C2×C4—612no—
650C2×C4—612no—
651C2×C4—612no—
652C2×C4—612no—
653C2×C4—611no—
654C2×C4—611no—
655C2×C4—611no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1228no—
662C2×C4—1222no—
663C2×C4—1224no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2444no—
670C2×C4—2444no—
671C2×C4—2444no—
672C2×C4—2444no—
673C2×C4—2444no—
674C2×C4—2444no—
675C2×C4—2444no—
676C2×C4C2×C22⋊#692311yescharacteristic
677C2×C4C2×C22⋊#692311yescharacteristic
678C2×C4C2×C22⋊#692311yescharacteristic
679C2×C4C2×C22⋊#692311yescharacteristic
680C2×C4C2×C22⋊#692311yescharacteristic
681C2×C4C2×C22⋊#692311yescharacteristic
682C2×C4D4×#692314yes—
683C22—21no—
684C22—21no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—84no—
689C22—612no—
690C22—611no—
691C22—611no—
692C22—1221no—
693C22—1221no—
694C22—1221no—
695C22—1221no—
696C22—4884no—
697C22—2442no—
698C22—2442no—
699C22—2442no—
700C22—2442no—
701C22—2442no—
702C22C22×C22⋊#692311yescharacteristic
703C22C2×D4×#692312yes—
704C4—21no—
705C4—21no—
706C4—21no—
707C4—42no—
708C4—612no—
709C4—612no—
710C4—612no—
711C4—1221no—
712C4—1221no—
713C4—1221no—
714C4—4884no—
715C4—2448no—
716C4—2442no—
717C4#1684071412yes—
718C4#1684071412yes—
719C4#1684074112yescomplemented
720C2—22no—
721C2—82no—
722C2—1221no—
723C2—1222no—
724C2—1221no—
725C2—4882no—
726C2C2×#1684071411yescharacteristic
727C2C2×#1684074111yescharacteristic
728C2D61⋊#41011yescharacteristic
subgroupG/H
centerC2×C4C2×C22⋊#6923
commutatorC23×C61C23×C4
FrattiniC23C23×#6923
FittingC2×C4×D4×C61C4
socleC22×C61C22×C22⋊C4
prime radicalC2×#16840309C2
cosocleC23×D61C24
hypercenterC2×C4×D4#6923
hypocenterC61#21212
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#16840741C2semidirect
2. #21462268C2semidirect
3. C4×#14519856C2semidirect
4. #21461960C2semidirect
5. #21461959C2semidirect
6. #21461958C2semidirect
34. C2×#14519776C4semidirect
35. C2×#14519773C4semidirect
36. C2×#14519763C4semidirect
40. C2×C4×D244C4semidirect
41. C2×C4×C22⋊D61C4semidirect
43. C2×C4×D4×C61C4semidirect
46. #14519856D4semidirect
348. C4×C61#410semidirect
355. Dic61#410semidirect
389. C2×C4×D4#6923semidirect
408. C61#21212semidirect
719. C4#16840741semidirect

Maximal subgroups

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

subgroupindex
C2×#168407412
#214622682
C4×#145198562
#214619602
#214619592
#214619582
C2×#168403092
#2121261