Finite Group Databasebeta

← D61×#2629 #29847074

Subgroups — D61×#2629 #29847074

Order 15616.

2614 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#125×D61C211yesmaximal, characteristic, complemented
2C2×#117×D61C211yesmaximal, characteristic
3#21451654C212yesmaximal, complemented
4#21451653C212yesmaximal, complemented
5#21451652C211yesmaximal, characteristic, complemented
6#21451651C214yesmaximal, complemented
7#21451650C211yesmaximal, characteristic, complemented
8#21451649C211yesmaximal, characteristic, complemented
9#21451648C214yesmaximal, complemented
10#398×D61C214yesmaximal, complemented
11#396×D61C214yesmaximal
12#389×D61C212yesmaximal, complemented
13#384×D61C211yesmaximal, characteristic, complemented
14#380×D61C212yesmaximal
15C61×#2629C211yesmaximal, characteristic, complemented
16C23×C4×D61C2211yescharacteristic
17C2×#14519769C2211yescharacteristic, complemented
18C2×#14519768C2212yescomplemented
19C2×#14519767C2214yescomplemented
20#125×D61—28no—
21C2×#14519736C2211yescharacteristic
22C2×#14519735C2212yes—
23C2×#14519734C2211yescharacteristic
24C2×#14519734C2211yescharacteristic
25C2×#14519733C2212yes—
26#117×D61—28no—
27C2×C4⋊C4×D61C2212yes—
28C2×C4⋊C4×D61C2212yes—
29C2×C4⋊C4×D61C2212yes—
30C2×C4⋊C4×D61C2214yes—
31C2×C4⋊C4×D61C2214yes—
32C2×C4⋊C4×D61C2214yes—
33C2×C22⋊C4×D61C2212yes—
34C2×C22⋊C4×D61C2214yes—
35C2×C42×D61C2211yescharacteristic
36C2×C42×D61C2211yescharacteristic
37#16839696C2214yescomplemented
38#16839696C2214yescomplemented
39#16839695C2214yescomplemented
40#16839695C2214yescomplemented
41#16839694C2214yescomplemented
42#16839693C2214yescomplemented
43#16839692C2214yescomplemented
44#16839686C2214yes—
45#16839685C2214yes—
46#16839685C2214yes—
47#16839685C2214yes—
48#16839684C2214yes—
49#16839684C2214yes—
50#16839684C2214yes—
51#16839661C2212yescomplemented
52#16839660C2212yescomplemented
53#16839659C2214yescomplemented
54#16839658C2212yescomplemented
55#16839657C2214yescomplemented
56#16839632C2211yescharacteristic, complemented
57#16839631C2214yescomplemented
58#16839631C2212yescomplemented
59#16839622C2212yes—
60#16839621C2214yes—
61#16839620C2214yes—
62#16839619C2212yes—
63#16839619C2212yes—
64#95×D61C2214yes—
65#95×D61C2214yes—
66C2×#125×C61C2211yescharacteristic, complemented
67C2×#117×C61C2211yescharacteristic
68C61×#398C2214yescomplemented
69C61×#396C2214yes—
70C61×#389C2212yescomplemented
71C61×#384C2211yescharacteristic, complemented
72C61×#380C2212yes—
73C24×D61C2311yescharacteristic
74C23×Dic61C2311yescharacteristic
75C22×C4×D61—24no—
76C22×C4×D61—24no—
77C22×C4×D61Q818yes—
78C22×C4×D61C2312yes—
79C22×C4×D61C2314yes—
80C22×C4×D61C2314yes—
81C22×C4×D61C2312yes—
82C22×C4×D61C2311yescharacteristic
83C22×C4×D61C2311yescharacteristic
84C22×C4×D61C2311yescharacteristic
85C22×C4×D61C2311yescharacteristic
86#14519769—24no—
87#14519768—28no—
88#14519767—216no—
89#14519736—24no—
90#14519735—28no—
91#14519734—24no—
92#14519734—24no—
93#14519733—28no—
94C2×C4⋊Dic61C2314yes—
95C2×C4⋊Dic61C2312yes—
96C2×C4⋊Dic61C2312yes—
97C2×C4⋊Dic61C2312yes—
98C2×C4⋊Dic61C2314yes—
99C2×C4⋊Dic61C2314yes—
100C2×#11758196C2314yes—
101C2×#11758196C2314yes—
102C2×#11758196C2312yes—
103C2×#11758196C2312yes—
104C2×#11758196C2314yes—
105C2×#11758196C2314yes—
106C2×#11758196C2314yes—
107C2×#11758196C2314yes—
108C2×#11758196C2314yes—
109C2×#11758196C2314yes—
110C4⋊C4×D61—28no—
111C4⋊C4×D61—216no—
112C4⋊C4×D61—28no—
113C4⋊C4×D61—28no—
114C4⋊C4×D61—48no—
115C4⋊C4×D61—48no—
116C2×C22⋊Dic61C2312yes—
117C2×C22⋊Dic61C2314yes—
118C2×#11758198C2312yes—
119C2×#11758198C2312yes—
120C2×#11758198C2314yes—
121C2×#11758198C2314yes—
122C22⋊C4×D61—28no—
123C22⋊C4×D61—48no—
124C2×C4×Dic61C2312yes—
125C2×C4×Dic61C2311yescharacteristic
126C2×C4×Dic61C2312yes—
127C2×C4×Dic61C2311yescharacteristic
128C42×D61—24no—
129C42×D61D418yes—
130#14519684C2314yes—
131#14519684C2314yes—
132#14519684C2314yes—
133#14519684C2314yes—
134#14519684C2314yes—
135#14519684C2314yes—
136C23×C4×C61C2311yescharacteristic
137#125×C61—24no—
138#117×C61—24no—
139C2×C4⋊C4×C61C2314yes—
140C2×C4⋊C4×C61C2312yes—
141C2×C4⋊C4×C61C2312yes—
142C2×C4⋊C4×C61C2312yes—
143C2×C4⋊C4×C61C2314yes—
144C2×C4⋊C4×C61C2314yes—
145C2×C22⋊C4×C61C2312yes—
146C2×C22⋊C4×C61C2314yes—
147C2×C42×C61C2311yescharacteristic
148C2×C42×C61C2311yescharacteristic
149#95×C61C2314yes—
150#95×C61C2314yes—
151C24×C61C2411yescharacteristic
152C23×D61—22no—
153C23×D61—22no—
154C23×D61—24no—
155C23×D61—24no—
156C23×D61C2×Q814yes—
157C23×D61C2411yescharacteristic
158C23×D61C2411yescharacteristic
159C22×C4×C61—22no—
160C22×C4×C61—22no—
161C22×C4×C61C2×Q814yes—
162C22×C4×C61C2412yes—
163C22×C4×C61C2414yes—
164C22×C4×C61C2414yes—
165C22×C4×C61C2412yes—
166C22×C4×C61C2411yescharacteristic
167C22×C4×C61C2411yescharacteristic
168C22×Dic61—22no—
169C22×Dic61—22no—
170C22×Dic61C2×Q814yes—
171C22×Dic61C2412yes—
172C22×Dic61C2414yes—
173C22×Dic61C2414yes—
174C22×Dic61C2412yes—
175C22×Dic61C2411yescharacteristic
176C22×Dic61C2411yescharacteristic
177C2×C4×D61—22no—
178C2×C4×D61—22no—
179C2×C4×D61—24no—
180C2×C4×D61—24no—
181C2×C4×D61—22no—
182C2×C4×D61—22no—
183C2×C4×D61—22no—
184C2×C4×D61—22no—
185C2×C4×D61—232no—
186C2×C4×D61—24no—
187C2×C4×D61—28no—
188C2×C4×D61—28no—
189C2×C4×D61—28no—
190C2×C4×D61—28no—
191C2×C4×D61—24no—
192C2×C4×D61—28no—
193C2×C4×D61—24no—
194C2×C4×D61—28no—
195C2×C4×D61C2×D418yes—
196C2×C4×D61C2×D414yes—
197C2×C4×D61C2×Q814yes—
198C2×C4×D61C2×Q814yes—
199C2×C4×D61C2×Q814yes—
200C2×C4×D61C2×Q814yes—
201C2×C4×D61#4114yes—
202C4⋊C4×C61—24no—
203C4⋊C4×C61—28no—
204C4⋊C4×C61—24no—
205C4⋊C4×C61—24no—
206C4⋊C4×C61—44no—
207C4⋊C4×C61—44no—
208C22⋊C4×C61—24no—
209C22⋊C4×C61—44no—
210C42×C61—22no—
211C42×C61C2×D414yes—
212C22⋊Dic61—24no—
213C22⋊Dic61—44no—
214#11758198—24no—
215#11758198—24no—
216#11758198—44no—
217#11758198—44no—
218C4⋊Dic61—24no—
219C4⋊Dic61—24no—
220C4⋊Dic61—24no—
221C4⋊Dic61—28no—
222C4⋊Dic61—44no—
223C4⋊Dic61—44no—
224#11758196—24no—
225#11758196—28no—
226#11758196—24no—
227#11758196—28no—
228#11758196—28no—
229#11758196—28no—
230#11758196—44no—
231#11758196—44no—
232#11758196—44no—
233#11758196—44no—
234C4×Dic61—22no—
235C4×Dic61—24no—
236C4×Dic61C2×D418yes—
237C4×Dic61C2×D414yes—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—22no—
241C23×C61—22no—
242C23×C61C22×Q812yes—
243C23×C61C2511yescharacteristic
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—22no—
247C22×D61—22no—
248C22×D61—28no—
249C22×D61—216no—
250C22×D61—48no—
251C22×D61—44no—
252C22×D61—44no—
253C22×D61C22×D412yes—
254C22×D61C22×Q812yes—
255C22×D61C22×Q812yes—
256C22×D61C2×#4112yes—
257C22×D61H(5,𝔽2)14yes—
258C22×D612−1+414yes—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—28no—
264C2×C4×C61—22no—
265C2×C4×C61—24no—
266C2×C4×C61—24no—
267C2×C4×C61—22no—
268C2×C4×C61—24no—
269C2×C4×C61—24no—
270C2×C4×C61—24no—
271C2×C4×C61—22no—
272C2×C4×C61—24no—
273C2×C4×C61C22×D414yes—
274C2×C4×C61C22×D412yes—
275C2×C4×C61C22×Q812yes—
276C2×C4×C61C22×Q812yes—
277C2×C4×C61C2×#4112yes—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—22no—
281C2×Dic61—22no—
282C2×Dic61—28no—
283C2×Dic61—22no—
284C2×Dic61—24no—
285C2×Dic61—24no—
286C2×Dic61—24no—
287C2×Dic61—22no—
288C2×Dic61—24no—
289C2×Dic61—24no—
290C2×Dic61—22no—
291C2×Dic61—24no—
292C2×Dic61C22×D414yes—
293C2×Dic61C22×D412yes—
294C2×Dic61C22×Q812yes—
295C2×Dic61C22×Q812yes—
296C2×Dic61C2×#4112yes—
297C4×D61—28no—
298C4×D61—216no—
299C4×D61—28no—
300C4×D61—28no—
301C4×D61—48no—
302C4×D61—416no—
303C4×D61—416no—
304C4×D61C22⋊Q8116yes—
305C2×#2629—611nomaximal, Sylow
306C22×C61—22no—
307C22×C61—24no—
308C22×C61—42no—
309C22×C61—41no—
310C22×C61—41no—
311C22×C61C23×D411yescharacteristic
312C22×C61C23×Q811yescharacteristic
313C22×C61C22×#4111yescharacteristic
314C22×C61C2×H(5,𝔽2)12yes—
315C22×C61C2×2−1+412yes—
316C2×D61—22no—
317C2×D61—24no—
318C2×D61—42no—
319C2×D61—41no—
320C2×D61—41no—
321C2×D61—416no—
322C2×D61C2×C22⋊Q814yes—
323C2×D61#53718yes—
324C2×D61#54014yes—
325C2×D61#54114yes—
326C2×D61#54418yes—
327C4×C61—22no—
328C4×C61—24no—
329C4×C61—42no—
330C4×C61—44no—
331C4×C61—44no—
332C4×C61C2×C22⋊Q814yes—
333Dic61—22no—
334Dic61—24no—
335Dic61—42no—
336Dic61—44no—
337Dic61—44no—
338Dic61C2×C22⋊Q814yes—
339C22×#125—611no—
340C22×#117—611no—
341#2629—614no—
342#2629—614no—
343#2629—612no—
344#2629—611no—
345#2629—612no—
346#2629—611no—
347#2629—611no—
348#2629D6111yescharacteristic, direct product factor
349C2×#398—614no—
350C2×#396—614no—
351C2×#389—612no—
352C2×#384—611no—
353C2×#380—612no—
354C2×C61—42no—
355C2×C61C22×C22⋊Q811yescharacteristic
356C2×C61C2×#53712yes—
357C2×C61C2×#54011yescharacteristic
358C2×C61C2×#54111yescharacteristic
359C2×C61C2×#54412yes—
360D61—42no—
361D61#262918yesdirect product factor
362C24×C4—611no—
363C2×#125—614no—
364C2×#125—612no—
365C2×#125—611no—
366C2×#125—1228no—
367C2×#125C2×D6111yescharacteristic, complemented
368C2×#117—611no—
369C2×#117—612no—
370C2×#117—612no—
371C2×#117—611no—
372C2×#117—611no—
373C2×#117—1228no—
374C2×#117C2×D6111yescharacteristic
375C22×C4⋊C4—614no—
376C22×C4⋊C4—612no—
377C22×C4⋊C4—612no—
378C22×C4⋊C4—612no—
379C22×C4⋊C4—614no—
380C22×C4⋊C4—614no—
381C22×C22⋊C4—612no—
382C22×C22⋊C4—614no—
383C22×C42—611no—
384C22×C42—611no—
385#398—614no—
386#398—614no—
387#398—614no—
388#398—614no—
389#398—614no—
390#398—614no—
391#398—614no—
392#398C2×D6114yescomplemented
393#396—614no—
394#396—614no—
395#396—614no—
396#396—614no—
397#396—614no—
398#396—614no—
399#396—614no—
400#396C2×D6114yes—
401#389—614no—
402#389—612no—
403#389—612no—
404#389—612no—
405#389—614no—
406#389C2×D6112yescomplemented
407#384—614no—
408#384—612no—
409#384—611no—
410#384C2×D6111yescharacteristic, complemented
411#380—612no—
412#380—612no—
413#380—612no—
414#380—614no—
415#380—614no—
416#380C2×D6112yes—
417C2×#95—614no—
418C2×#95—614no—
419C61C2×#262911yescharacteristic, complemented, Sylow
420C25—611no—
421C23×C4—611no—
422C23×C4—611no—
423C23×C4—618no—
424C23×C4—612no—
425C23×C4—611no—
426C23×C4—611no—
427C23×C4—611no—
428C23×C4—614no—
429C23×C4—614no—
430C23×C4—612no—
431C23×C4—1224no—
432C23×C4—1224no—
433C23×C4C22×D6111yescharacteristic
434#125—24no—
435#125—12216no—
436#125—1228no—
437#125—1224no—
438#117—24no—
439#117—1224no—
440#117—1228no—
441#117—1228no—
442#117—1224no—
443#117—1224no—
444C2×C4⋊C4—612no—
445C2×C4⋊C4—612no—
446C2×C4⋊C4—612no—
447C2×C4⋊C4—614no—
448C2×C4⋊C4—612no—
449C2×C4⋊C4—614no—
450C2×C4⋊C4—614no—
451C2×C4⋊C4—614no—
452C2×C4⋊C4—614no—
453C2×C4⋊C4—612no—
454C2×C4⋊C4—614no—
455C2×C4⋊C4—614no—
456C2×C4⋊C4—614no—
457C2×C4⋊C4—614no—
458C2×C4⋊C4—614no—
459C2×C4⋊C4—614no—
460C2×C4⋊C4—1228no—
461C2×C4⋊C4—1228no—
462C2×C4⋊C4—12216no—
463C2×C4⋊C4—1228no—
464C2×C4⋊C4—2448no—
465C2×C4⋊C4—2448no—
466C2×C4⋊C4C22×D6112yes—
467C2×C4⋊C4C22×D6112yes—
468C2×C4⋊C4C22×D6114yes—
469C2×C4⋊C4C22×D6112yes—
470C2×C4⋊C4C22×D6114yes—
471C2×C4⋊C4C22×D6114yes—
472C2×C22⋊C4—612no—
473C2×C22⋊C4—612no—
474C2×C22⋊C4—612no—
475C2×C22⋊C4—614no—
476C2×C22⋊C4—614no—
477C2×C22⋊C4—614no—
478C2×C22⋊C4—1228no—
479C2×C22⋊C4—2448no—
480C2×C22⋊C4C22×D6112yes—
481C2×C22⋊C4C22×D6114yes—
482C2×C42—612no—
483C2×C42—611no—
484C2×C42—618no—
485C2×C42—612no—
486C2×C42—611no—
487C2×C42—1224no—
488C2×C42C22×D6111yescharacteristic
489C2×C42C22×D6111yescharacteristic
490#95—614no—
491#95—614no—
492#95—614no—
493#95—614no—
494#95—614no—
495#95—614no—
496#95C22×D6114yes—
497#95C22×D6114yes—
498C24—611no—
499C24—614no—
500C24—611no—
501C24—1222no—
502C24—1224no—
503C24—1222no—
504C24—1224no—
505C24C23×D6111yescharacteristic
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—611no—
509C22×C4—614no—
510C22×C4—614no—
511C22×C4—614no—
512C22×C4—614no—
513C22×C4—611no—
514C22×C4—612no—
515C22×C4—618no—
516C22×C4—614no—
517C22×C4—614no—
518C22×C4—614no—
519C22×C4—612no—
520C22×C4—614no—
521C22×C4—614no—
522C22×C4—1222no—
523C22×C4—1222no—
524C22×C4—12232no—
525C22×C4—1222no—
526C22×C4—1224no—
527C22×C4—1222no—
528C22×C4—1224no—
529C22×C4—1224no—
530C22×C4—1228no—
531C22×C4—1228no—
532C22×C4—1228no—
533C22×C4—1228no—
534C22×C4—1228no—
535C22×C4—1224no—
536C22×C4—1228no—
537C22×C4—1224no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—1222no—
542C22×C4Q8×D6114yes—
543C22×C4C23×D6112yes—
544C22×C4C23×D6114yes—
545C22×C4C23×D6114yes—
546C22×C4C23×D6112yes—
547C22×C4C23×D6111yescharacteristic
548C22×C4C23×D6111yescharacteristic
549C4⋊C4—24no—
550C4⋊C4—28no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—1228no—
556C4⋊C4—1224no—
557C4⋊C4—1228no—
558C4⋊C4—1228no—
559C4⋊C4—1224no—
560C4⋊C4—1228no—
561C4⋊C4—1224no—
562C4⋊C4—1228no—
563C4⋊C4—1224no—
564C4⋊C4—1224no—
565C4⋊C4—2444no—
566C4⋊C4—2444no—
567C4⋊C4—2444no—
568C4⋊C4—2444no—
569C4⋊C4—2444no—
570C4⋊C4—2444no—
571C22⋊C4—24no—
572C22⋊C4—44no—
573C22⋊C4—1224no—
574C22⋊C4—1224no—
575C22⋊C4—1224no—
576C22⋊C4—2444no—
577C22⋊C4—2444no—
578C22⋊C4—2444no—
579C42—22no—
580C42—618no—
581C42—614no—
582C42—1224no—
583C42—1222no—
584C42D4×D6114yes—
585C23—21no—
586C23—21no—
587C23—22no—
588C23—22no—
589C23—612no—
590C23—612no—
591C23—612no—
592C23—614no—
593C23—614no—
594C23—612no—
595C23—1228no—
596C23—12216no—
597C23—1221no—
598C23—1221no—
599C23—1222no—
600C23—1222no—
601C23—2448no—
602C23—2444no—
603C23—2444no—
604C23C2×Q8×D6112yes—
605C23C24×D6111yescharacteristic
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—28no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—612no—
621C2×C4—612no—
622C2×C4—612no—
623C2×C4—6116no—
624C2×C4—614no—
625C2×C4—612no—
626C2×C4—1228no—
627C2×C4—12216no—
628C2×C4—1228no—
629C2×C4—1228no—
630C2×C4—1221no—
631C2×C4—1221no—
632C2×C4—1222no—
633C2×C4—1222no—
634C2×C4—1228no—
635C2×C4—1222no—
636C2×C4—1224no—
637C2×C4—1224no—
638C2×C4—1224no—
639C2×C4—1224no—
640C2×C4—1222no—
641C2×C4—1224no—
642C2×C4—1222no—
643C2×C4—1224no—
644C2×C4—2448no—
645C2×C4—24416no—
646C2×C4—24416no—
647C2×C4C2×D4×D6114yes—
648C2×C4C2×D4×D6112yes—
649C2×C4C2×Q8×D6112yes—
650C2×C4C2×Q8×D6112yes—
651C2×C4#41×D6112yes—
652C22—24no—
653C22—22no—
654C22—42no—
655C22—41no—
656C22—41no—
657C22—618no—
658C22—614no—
659C22—618no—
660C22—614no—
661C22—614no—
662C22—1224no—
663C22—1222no—
664C22—24416no—
665C22—2442no—
666C22—2441no—
667C22—2441no—
668C22C22×D4×D6111yescharacteristic
669C22C22×Q8×D6111yescharacteristic
670C22C2×#41×D6111yescharacteristic
671C22H(5,𝔽2)×D6112yes—
672C222−1+4×D6112yes—
673C4—22no—
674C4—24no—
675C4—42no—
676C4—44no—
677C4—44no—
678C4—614no—
679C4—1222no—
680C4—1224no—
681C4—2442no—
682C4—2444no—
683C4—2444no—
684C4C22⋊Q8×D6114yes—
685C2—42no—
686C2—618no—
687C2—2442no—
688C2C2×C22⋊Q8×D6111yescharacteristic
689C2#537×D6112yes—
690C2#540×D6111yescharacteristic
691C2#541×D6111yescharacteristic
692C2#544×D6112yes—
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2629C2
prime radicalC24×D61C23
hypercenter#2629D61
hypocenterC61C2×#2629
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2629

Complements

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

NH ≅ G/Ntype
1. C2×#125×D61C2semidirect
3. #21451654C2semidirect
4. #21451653C2semidirect
5. #21451652C2semidirect
6. #21451651C2semidirect
7. #21451650C2semidirect
8. #21451649C2semidirect
9. #21451648C2semidirect
10. #398×D61C2semidirect
12. #389×D61C2semidirect
13. #384×D61C2semidirect
15. C61×#2629C2semidirect
17. C2×#14519769C22semidirect
18. C2×#14519768C22semidirect
19. C2×#14519767C22semidirect
37. #16839696C22semidirect
38. #16839696C22semidirect
39. #16839695C22semidirect
40. #16839695C22semidirect
41. #16839694C22semidirect
42. #16839693C22semidirect
43. #16839692C22semidirect
51. #16839661C22semidirect
52. #16839660C22semidirect
53. #16839659C22semidirect
54. #16839658C22semidirect
55. #16839657C22semidirect
56. #16839632C22semidirect
57. #16839631C22semidirect
58. #16839631C22semidirect
66. C2×#125×C61C22semidirect
68. C61×#398C22semidirect
70. C61×#389C22semidirect
71. C61×#384C22semidirect
348. #2629D61direct (N × H)
361. D61#2629direct (N × H)
367. C2×#125C2×D61semidirect
392. #398C2×D61semidirect
406. #389C2×D61semidirect
410. #384C2×D61semidirect
419. C61C2×#2629semidirect

Maximal subgroups

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

subgroupindex
C2×#125×D612
C2×#117×D612
#214516542
#214516532
#214516522
#214516512
#214516502
#214516492
#214516482
#398×D612
#396×D612
#389×D612
#384×D612
#380×D612
C61×#26292
C2×#262961