Finite Group Databasebeta

← D61×#1933 #29682606

Subgroups — D61×#1933 #29682606

Order 15616.

1246 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
1C2×#103×D61C211yesmaximal, characteristic
2C2×#103×D61C211yesmaximal, characteristic
3C2×C4×C8×D61C211yesmaximal, characteristic
4#391×D61C211yesmaximal, characteristic
5#389×D61C211yesmaximal, characteristic
6#21446498C211yesmaximal, characteristic, complemented
7#21446497C211yesmaximal, characteristic, complemented
8#21446496C211yesmaximal, characteristic, complemented
9#21446495C211yesmaximal, characteristic, complemented
10#21446494C211yesmaximal, characteristic, complemented
11#21446493C211yesmaximal, characteristic, complemented
12#21446492C211yesmaximal, characteristic, complemented
13#340×D61C211yesmaximal, characteristic
14#340×D61C211yesmaximal, characteristic
15C61×#1933C211yesmaximal, characteristic, complemented
16C22×Q8×D61C2211yescharacteristic
17C22×C8×D61C2211yescharacteristic
18C22×C8×D61C2211yescharacteristic
19C2×C4⋊C4×D61—21no—
20C2×C4⋊C4×D61C2211yescharacteristic
21C2×C4⋊C4×D61C2211yescharacteristic
22C2×C4⋊C4×D61C2211yescharacteristic
23C2×C42×D61C2211yescharacteristic
24C2×#14519702C2211yescharacteristic
25C2×#14519702C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519701C2211yescharacteristic
28C2×#14519700C2211yescharacteristic
29C2×#14519700C2211yescharacteristic
30#103×D61—24no—
31#103×D61C418yescomplemented
32C2×C4×#92418C2211yescharacteristic
33C2×C8×Dic61C2211yescharacteristic
34C2×C8×Dic61C2211yescharacteristic
35C4×C8×D61—24no—
36#16839669C2211yescharacteristic
37#16839668C2211yescharacteristic
38#16839667C2211yescharacteristic
39#16839666—21no—
40#16839666—21no—
41#16839661C2211yescharacteristic
42#16839660C2211yescharacteristic
43#16839659—21no—
44#16839658C2211yescharacteristic
45#16839657—21no—
46#95×D61—21no—
47#95×D61—21no—
48#95×D61—21no—
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C2×#103×C61C2211yescharacteristic
56C2×#103×C61C2211yescharacteristic
57C2×C4×C8×C61C2211yescharacteristic
58C61×#391C2211yescharacteristic
59C61×#389C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C22×Dic122—21no—
63C22×Dic122C2311yescharacteristic
64C2×Q8×D61—22no—
65C2×Q8×D61—22no—
66C2×Q8×D61—22no—
67C2×Q8×D61—22no—
68C2×Q8×D61—22no—
69C2×Q8×D61C2×C414yes—
70C22×C4×D61—21no—
71C22×C4×D61—21no—
72C22×C4×D61—21no—
73C22×C4×D61—21no—
74C22×C4×D61D411yescharacteristic
75C22×C4×D61D411yescharacteristic
76C22×C4×D61C2311yescharacteristic
77C22×#92418C2311yescharacteristic
78C22×#92418C2311yescharacteristic
79C2×C8×D61—22no—
80C2×C8×D61—22no—
81C2×C8×D61—22no—
82C2×C8×D61—22no—
83C2×C8×D61C2×C414yes—
84C2×C8×D61D414yes—
85C2×C4⋊Dic61—21no—
86C2×C4⋊Dic61C2311yescharacteristic
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×#11758196—21no—
90C2×#11758196—21no—
91C2×#11758196—21no—
92C2×#11758196—21no—
93C2×#11758196—21no—
94C4⋊C4×D61—22no—
95C4⋊C4×D61—22no—
96C4⋊C4×D61—22no—
97C4⋊C4×D61—22no—
98C4⋊C4×D61—22no—
99C4⋊C4×D61—44no—
100C4⋊C4×D61C2×C414yes—
101C2×C4×Dic61D411yescharacteristic
102C2×C4×Dic61D411yescharacteristic
103C2×C4×Dic61C2311yescharacteristic
104C42×D61—22no—
105C42×D61—22no—
106#14519702—22no—
107#14519702C2×C414yescomplemented
108#14519701—22no—
109#14519701C2×C414yescomplemented
110#14519700—22no—
111#14519700C2×C414yescomplemented
112C4×#92418—22no—
113C8×Dic61—22no—
114C8×Dic61—22no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123#14519684—21no—
124C22×Q8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127C2×C4⋊C4×C61—21no—
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C42×C61C2311yescharacteristic
132#103×C61—22no—
133#103×C61C2×C414yescomplemented
134C4×C8×C61—22no—
135#95×C61—21no—
136#95×C61—21no—
137#95×C61—21no—
138C23×D61C2×D411yescharacteristic
139C2×Q8×C61—21no—
140C2×Q8×C61—21no—
141C2×Q8×C61—21no—
142C2×Q8×C61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61C22×C412yes—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2411yescharacteristic
152C22×Dic61—21no—
153C22×Dic61—21no—
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61C2×D411yescharacteristic
157C22×Dic61C2×D411yescharacteristic
158C22×Dic61C2×D411yescharacteristic
159Q8×D61—28no—
160Q8×D61—28no—
161Q8×D61—44no—
162Q8×D61—44no—
163C2×C4×D61—22no—
164C2×C4×D61—22no—
165C2×C4×D61—22no—
166C2×C4×D61—22no—
167C2×C4×D61—24no—
168C2×C4×D61—24no—
169C2×C4×D61—42no—
170C2×C4×D61—42no—
171C2×C4×D61—42no—
172C2×C4×D61—42no—
173C2×C4×D61—42no—
174C2×C4×D61—42no—
175C2×C4×D61—42no—
176C2×C4×D61—42no—
177C2×C4×D61—42no—
178C2×C4×D61—42no—
179C2×C4×D61SD1614yes—
180C2×C4×D61Q1614yes—
181C2×C4×D61C22×C412yes—
182C2×C4×D61C2×D412yes—
183C2×C4×D61#4112yes—
184C2×C4×D61#4112yes—
185C2×C4×D61#4112yes—
186C2×C4×D61#4112yes—
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122—24no—
193C2×Dic122—42no—
194C2×Dic122—42no—
195C2×Dic122C22×C412yes—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C2×C8×C61C22×C412yes—
201C2×C8×C61C2×D412yes—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—21no—
205C4⋊C4×C61—21no—
206C4⋊C4×C61—21no—
207C4⋊C4×C61—42no—
208C4⋊C4×C61C22×C412yes—
209C42×C61—21no—
210C42×C61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—42no—
217C4⋊Dic61C22×C412yes—
218#11758196—24no—
219#11758196—42no—
220#11758196—42no—
221#11758196—42no—
222#11758196—42no—
223C4×Dic61—21no—
224C4×Dic61—21no—
225C4×Dic61—22no—
226C4×Dic61—22no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418C22×C412yes—
232C2×#92418C2×D412yes—
233C8×D61—28no—
234C8×D61—28no—
235C23×C61C22×D411yescharacteristic
236C22×D61C4×D412yes—
237C22×D61#12112yes—
238C22×D61#12412yes—
239C22×D61C2×SD1612yes—
240C22×D61C2×Q1612yes—
241C22×D61#13512yes—
242C22×D61#13512yes—
243Q8×C61—22no—
244Q8×C61—22no—
245Q8×C61—41no—
246Q8×C61—41no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—22no—
252C2×C4×C61—22no—
253C2×C4×C61—41no—
254C2×C4×C61—41no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61C2×SD1612yes—
264C2×C4×C61C2×Q1612yes—
265C2×C4×C61C23×C411yescharacteristic
266C2×C4×C61C22×D411yescharacteristic
267C2×C4×C61C2×#4111yescharacteristic
268C2×C4×C61C2×#4111yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×Dic61—21no—
272C2×Dic61—21no—
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—22no—
276C2×Dic61—22no—
277C2×Dic61—41no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61C4×D412yes—
288C2×Dic61#12112yes—
289C2×Dic61#12412yes—
290C2×Dic61C2×SD1612yes—
291C2×Dic61C2×Q1612yes—
292C4×D61—28no—
293C4×D61—28no—
294C4×D61—48no—
295C4×D61—48no—
296C4×D61—84no—
297C4×D61—84no—
298C4×D61#11714yes—
299C4×D61C4×D414yes—
300C4×D61#12314yes—
301C4×D61#12614yes—
302Dic122—22no—
303Dic122—22no—
304Dic122—41no—
305Dic122—41no—
306Dic122—48no—
307C8×C61—22no—
308C8×C61—22no—
309#92418—22no—
310#92418—22no—
311C2×#1933—611nomaximal, Sylow
312C22×C61C2×C4×D411yescharacteristic
313C22×C61C2×#12111yescharacteristic
314C22×C61C2×#12411yescharacteristic
315C22×C61C22×SD1611yescharacteristic
316C22×C61C22×Q1611yescharacteristic
317C22×C61C2×#13511yescharacteristic
318C22×C61C2×#13511yescharacteristic
319C2×D61#38814yes—
320C2×D61C4×SD1614yes—
321C2×D61C4×Q1614yes—
322C2×D61#46514yes—
323C2×D61#46714yes—
324C2×D61#48714yes—
325C2×D61#48814yes—
326C4×C61—22no—
327C4×C61—22no—
328C4×C61—42no—
329C4×C61—42no—
330C4×C61—81no—
331C4×C61—81no—
332C4×C61C2×#11711yescharacteristic
333C4×C61C2×C4×D411yescharacteristic
334C4×C61C2×#12311yescharacteristic
335C4×C61C2×#12611yescharacteristic
336Dic61—22no—
337Dic61—22no—
338Dic61—42no—
339Dic61—42no—
340Dic61—81no—
341Dic61—81no—
342Dic61#38814yes—
343C22×#103—611no—
344C22×#103—611no—
345C22×C4×C8—611no—
346C2×#391—611no—
347C2×#389—611no—
348#1933—611no—
349#1933—611no—
350#1933—611no—
351#1933—611no—
352#1933—611no—
353#1933—611no—
354#1933—611no—
355#1933D6111yescharacteristic, direct product factor
356C2×#340—611no—
357C2×#340—611no—
358C2×C61C2×#38811yescharacteristic
359C2×C61C2×C4×SD1611yescharacteristic
360C2×C61C2×C4×Q1611yescharacteristic
361C2×C61C2×#46511yescharacteristic
362C2×C61C2×#46711yescharacteristic
363C2×C61C2×#48711yescharacteristic
364C2×C61C2×#48811yescharacteristic
365D61#193318yesdirect product factor
366C23×Q8—611no—
367C23×C8—611no—
368C23×C8—611no—
369C22×C4⋊C4—611no—
370C22×C4⋊C4—611no—
371C22×C4⋊C4—611no—
372C22×C4⋊C4—1221no—
373C22×C42—611no—
374C2×#103—611no—
375C2×#103—611no—
376C2×#103—611no—
377C2×#103—618no—
378C2×#103—611no—
379C2×#103—611no—
380C2×#103—611no—
381C2×#103—1224no—
382C2×#103C2×D6111yescharacteristic
383C2×#103C2×D6111yescharacteristic
384C2×C4×C8—611no—
385C2×C4×C8—611no—
386C2×C4×C8—611no—
387C2×C4×C8—1224no—
388C2×C4×C8C2×D6111yescharacteristic
389#391—611no—
390#391—611no—
391#391—611no—
392#391—1221no—
393#391—1221no—
394#391C2×D6111yescharacteristic
395#389—611no—
396#389—611no—
397#389—611no—
398#389—1221no—
399#389—1221no—
400#389C2×D6111yescharacteristic
401C2×#95—1221no—
402C2×#95—1221no—
403C2×#95—1221no—
404#340—611no—
405#340—611no—
406#340—611no—
407#340—611no—
408#340—611no—
409#340—611no—
410#340C2×D6111yescharacteristic
411#340C2×D6111yescharacteristic
412C61C2×#193311yescharacteristic, complemented, Sylow
413C22×Q8—614no—
414C22×Q8—611no—
415C22×Q8—1221no—
416C22×Q8—1222no—
417C22×Q8—1222no—
418C22×Q8—1222no—
419C22×Q8—1222no—
420C22×Q8—1222no—
421C22×Q8C22×D6111yescharacteristic
422C23×C4—611no—
423C23×C4—611no—
424C23×C4—611no—
425C23×C4—1221no—
426C23×C4—1221no—
427C23×C4—1221no—
428C23×C4—1221no—
429C22×C8—611no—
430C22×C8—611no—
431C22×C8—614no—
432C22×C8—614no—
433C22×C8—1222no—
434C22×C8—1222no—
435C22×C8—1222no—
436C22×C8—1222no—
437C22×C8C22×D6111yescharacteristic
438C22×C8C22×D6111yescharacteristic
439C2×C4⋊C4—21no—
440C2×C4⋊C4—611no—
441C2×C4⋊C4—614no—
442C2×C4⋊C4—611no—
443C2×C4⋊C4—611no—
444C2×C4⋊C4—1222no—
445C2×C4⋊C4—1222no—
446C2×C4⋊C4—1222no—
447C2×C4⋊C4—1222no—
448C2×C4⋊C4—1222no—
449C2×C4⋊C4—1221no—
450C2×C4⋊C4—1221no—
451C2×C4⋊C4—1221no—
452C2×C4⋊C4—1221no—
453C2×C4⋊C4—1221no—
454C2×C4⋊C4—1221no—
455C2×C4⋊C4—2444no—
456C2×C4⋊C4C22×D6111yescharacteristic
457C2×C4⋊C4C22×D6111yescharacteristic
458C2×C4⋊C4C22×D6111yescharacteristic
459C2×C42—611no—
460C2×C42—611no—
461C2×C42—611no—
462C2×C42—1222no—
463C2×C42—1222no—
464C2×C42C22×D6111yescharacteristic
465#103—22no—
466#103—614no—
467#103—614no—
468#103—614no—
469#103—1222no—
470#103—1222no—
471#103—1222no—
472#103C4×D6114yescomplemented
473C4×C8—22no—
474C4×C8—1222no—
475C4×C8—1222no—
476C4×C8—1222no—
477#95—21no—
478#95—21no—
479#95—21no—
480#95—1221no—
481#95—1221no—
482#95—1221no—
483#95—1221no—
484#95—1221no—
485#95—1221no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489C24—611no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—612no—
496C2×Q8—1224no—
497C2×Q8—1228no—
498C2×Q8—1228no—
499C2×Q8—1221no—
500C2×Q8—1221no—
501C2×Q8—1221no—
502C2×Q8—1221no—
503C2×Q8—1221no—
504C2×Q8—2442no—
505C2×Q8—2442no—
506C2×Q8—2444no—
507C2×Q8—2444no—
508C2×Q8C2×C4×D6112yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—611no—
514C22×C4—612no—
515C22×C4—612no—
516C22×C4—612no—
517C22×C4—612no—
518C22×C4—612no—
519C22×C4—612no—
520C22×C4—611no—
521C22×C4—611no—
522C22×C4—614no—
523C22×C4—614no—
524C22×C4—1222no—
525C22×C4—1222no—
526C22×C4—1222no—
527C22×C4—1222no—
528C22×C4—1224no—
529C22×C4—1224no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—2442no—
535C22×C4—2442no—
536C22×C4—2442no—
537C22×C4—2442no—
538C22×C4—2442no—
539C22×C4—2442no—
540C22×C4—2442no—
541C22×C4—2442no—
542C22×C4—2442no—
543C22×C4—2442no—
544C22×C4D4×D6111yescharacteristic
545C22×C4D4×D6111yescharacteristic
546C22×C4C23×D6111yescharacteristic
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—612no—
552C2×C8—612no—
553C2×C8—1228no—
554C2×C8—1228no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8C2×C4×D6112yes—
560C2×C8D4×D6112yes—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—42no—
567C4⋊C4—612no—
568C4⋊C4—1224no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—2442no—
575C4⋊C4—2442no—
576C4⋊C4—2442no—
577C4⋊C4—2442no—
578C4⋊C4—2442no—
579C4⋊C4C2×C4×D6112yes—
580C42—21no—
581C42—21no—
582C42—1222no—
583C42—1222no—
584C42—1221no—
585C42—1221no—
586C23—612no—
587C23—612no—
588C23—612no—
589C23—612no—
590C23—612no—
591C23—612no—
592C23—612no—
593C23C2×D4×D6111yescharacteristic
594Q8—22no—
595Q8—22no—
596Q8—41no—
597Q8—41no—
598Q8—1222no—
599Q8—1222no—
600Q8—2448no—
601Q8—2441no—
602Q8—2441no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—612no—
620C2×C4—612no—
621C2×C4—612no—
622C2×C4—614no—
623C2×C4—614no—
624C2×C4—614no—
625C2×C4—614no—
626C2×C4—612no—
627C2×C4—612no—
628C2×C4—1228no—
629C2×C4—1228no—
630C2×C4—1221no—
631C2×C4—1221no—
632C2×C4—1221no—
633C2×C4—1221no—
634C2×C4—1222no—
635C2×C4—1222no—
636C2×C4—4884no—
637C2×C4—4884no—
638C2×C4—2448no—
639C2×C4—2448no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4SD16×D6112yes—
651C2×C4Q16×D6112yes—
652C2×C4C22×C4×D6111yescharacteristic
653C2×C4C2×D4×D6111yescharacteristic
654C2×C4#41×D6111yescharacteristic
655C2×C4#41×D6111yescharacteristic
656C2×C4#41×D6111yescharacteristic
657C2×C4#41×D6111yescharacteristic
658C8—22no—
659C8—22no—
660C8—1222no—
661C8—1222no—
662C22—614no—
663C22—614no—
664C22—614no—
665C22—614no—
666C22—614no—
667C22—614no—
668C22—614no—
669C22C4×D4×D6111yescharacteristic
670C22#121×D6111yescharacteristic
671C22#124×D6111yescharacteristic
672C22C2×SD16×D6111yescharacteristic
673C22C2×Q16×D6111yescharacteristic
674C22#135×D6111yescharacteristic
675C22#135×D6111yescharacteristic
676C4—22no—
677C4—22no—
678C4—42no—
679C4—42no—
680C4—81no—
681C4—81no—
682C4—614no—
683C4—1222no—
684C4—1222no—
685C4—4881no—
686C4—4881no—
687C4—2442no—
688C4—2442no—
689C4#117×D6111yescharacteristic
690C4C4×D4×D6111yescharacteristic
691C4#123×D6111yescharacteristic
692C4#126×D6111yescharacteristic
693C2—618no—
694C2#388×D6111yescharacteristic
695C2C4×SD16×D6111yescharacteristic
696C2C4×Q16×D6111yescharacteristic
697C2#465×D6111yescharacteristic
698C2#467×D6111yescharacteristic
699C2#487×D6111yescharacteristic
700C2#488×D6111yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1933C2
socleC23×C61C22×D4
prime radicalC23×D61C2×D4
cosocleC22×C4×C61C24
hypercenter#1933D61
hypocenterC61C2×#1933
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1933

Complements

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

NH ≅ G/Ntype
6. #21446498C2semidirect
7. #21446497C2semidirect
8. #21446496C2semidirect
9. #21446495C2semidirect
10. #21446494C2semidirect
11. #21446493C2semidirect
12. #21446492C2semidirect
15. C61×#1933C2semidirect
31. #103×D61C4semidirect
107. #14519702C2×C4semidirect
109. #14519701C2×C4semidirect
111. #14519700C2×C4semidirect
133. #103×C61C2×C4semidirect
355. #1933D61direct (N × H)
365. D61#1933direct (N × H)
412. C61C2×#1933semidirect
472. #103C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#103×D612
C2×C4×C8×D612
#391×D612
#389×D612
#214464982
#214464972
#214464962
#214464952
#214464942
#214464932
#214464922
#340×D612
C61×#19332
C2×#193361