Finite Group Databasebeta

← D61×#2066 #29708607

Subgroups — D61×#2066 #29708607

Order 15616.

1206 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#106×D61C211yesmaximal, characteristic
2C2×C4⋊C8×D61C211yesmaximal, characteristic
3C2×#103×D61C211yesmaximal, characteristic
4C2×#103×D61C211yesmaximal, characteristic
5#391×D61C211yesmaximal, characteristic
6#389×D61C211yesmaximal, characteristic
7#21447201C211yesmaximal, characteristic, complemented
8#21447200C211yesmaximal, characteristic, complemented
9#21447199C211yesmaximal, characteristic, complemented
10#21447198C211yesmaximal, characteristic, complemented
11#21447197C211yesmaximal, characteristic, complemented
12#21447196C211yesmaximal, characteristic, complemented
13#21447195C211yesmaximal, characteristic, complemented
14#340×D61C211yesmaximal, characteristic
15C61×#2066C211yesmaximal, 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×#14519709C2211yescharacteristic
25C2×#14519708C2211yescharacteristic
26C2×#14519708C2211yescharacteristic
27#106×D61—24no—
28C2×C4⋊#92418C2211yescharacteristic
29C2×#14519706C2211yescharacteristic
30C2×#14519706C2211yescharacteristic
31C4⋊C8×D61—24no—
32C2×#14519702C2211yescharacteristic
33C2×#14519702C2211yescharacteristic
34C2×#14519701C2211yescharacteristic
35C2×#14519701C2211yescharacteristic
36C2×#14519700C2211yescharacteristic
37C2×#14519700C2211yescharacteristic
38#103×D61—24no—
39#103×D61—24no—
40#16839669C2211yescharacteristic
41#16839668C2211yescharacteristic
42#16839667C2211yescharacteristic
43#16839666—21no—
44#16839666—21no—
45#16839661C2211yescharacteristic
46#16839660C2211yescharacteristic
47#16839659—21no—
48#16839658C2211yescharacteristic
49#16839657—21no—
50#95×D61—21no—
51#95×D61—21no—
52#95×D61—21no—
53#16839525C2211yescharacteristic
54#16839524C2211yescharacteristic
55#16839524C2211yescharacteristic
56C2×#106×C61C2211yescharacteristic
57C2×C4⋊C8×C61C2211yescharacteristic
58C2×#103×C61C2211yescharacteristic
59C2×#103×C61C2211yescharacteristic
60C61×#391C2211yescharacteristic
61C61×#389C2211yescharacteristic
62C61×#340C2211yescharacteristic
63C22×Dic122—21no—
64C22×Dic122C2311yescharacteristic
65C2×Q8×D61—22no—
66C2×Q8×D61—22no—
67C2×Q8×D61—22no—
68C2×Q8×D61—22no—
69C2×Q8×D61—22no—
70C2×Q8×D61Q814yes—
71C22×C4×D61—21no—
72C22×C4×D61—21no—
73C22×C4×D61—21no—
74C22×C4×D61—21no—
75C22×C4×D61D411yescharacteristic
76C22×C4×D61D411yescharacteristic
77C22×C4×D61C2311yescharacteristic
78C22×#92418C2311yescharacteristic
79C22×#92418C2311yescharacteristic
80C2×C8×D61—22no—
81C2×C8×D61—22no—
82C2×C8×D61—22no—
83C2×C8×D61—22no—
84C2×C8×D61—22no—
85C2×C8×D61D414yes—
86C2×C4⋊Dic61—21no—
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C4⋊Dic61C2311yescharacteristic
90C2×#11758196—21no—
91C2×#11758196—21no—
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×#11758196—21no—
95C4⋊C4×D61—22no—
96C4⋊C4×D61—22no—
97C4⋊C4×D61—22no—
98C4⋊C4×D61—22no—
99C4⋊C4×D61—22no—
100C4⋊C4×D61—44no—
101C4⋊C4×D61D414yes—
102C2×C4×Dic61D411yescharacteristic
103C2×C4×Dic61D411yescharacteristic
104C2×C4×Dic61C2311yescharacteristic
105C42×D61—22no—
106C42×D61—22no—
107#14519709—22no—
108#14519708—22no—
109#14519708—22no—
110C4⋊#92418—22no—
111#14519706—22no—
112#14519706—22no—
113#14519702—22no—
114#14519702—22no—
115#14519701—22no—
116#14519701—22no—
117#14519700—22no—
118#14519700—22no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123#14519684—21no—
124#14519684—21no—
125#14519684—21no—
126#14519684—21no—
127#14519684—21no—
128C22×Q8×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130C22×C8×C61C2311yescharacteristic
131C2×C4⋊C4×C61—21no—
132C2×C4⋊C4×C61C2311yescharacteristic
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C42×C61C2311yescharacteristic
136#106×C61—22no—
137C4⋊C8×C61—22no—
138#103×C61—22no—
139#103×C61—22no—
140#95×C61—21no—
141#95×C61—21no—
142#95×C61—21no—
143C23×D61C2×D411yescharacteristic
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61C2×Q812yes—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2411yescharacteristic
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61C2×D411yescharacteristic
162C22×Dic61C2×D411yescharacteristic
163C22×Dic61C2×D411yescharacteristic
164Q8×D61—28no—
165Q8×D61—28no—
166Q8×D61—44no—
167Q8×D61—44no—
168C2×C4×D61—22no—
169C2×C4×D61—22no—
170C2×C4×D61—24no—
171C2×C4×D61—22no—
172C2×C4×D61—24no—
173C2×C4×D61—22no—
174C2×C4×D61—22no—
175C2×C4×D61—42no—
176C2×C4×D61—42no—
177C2×C4×D61—42no—
178C2×C4×D61—42no—
179C2×C4×D61—42no—
180C2×C4×D61—42no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61—42no—
184C2×C4×D61—42no—
185C2×C4×D61SD1614yes—
186C2×C4×D61C2×D412yes—
187C2×C4×D61C2×D412yes—
188C2×C4×D61C2×Q812yes—
189C2×C4×D61#4112yes—
190C2×C4×D61#4112yes—
191C2×C4×D61#4112yes—
192C2×Dic122—21no—
193C2×Dic122—21no—
194C2×Dic122—21no—
195C2×Dic122—21no—
196C2×Dic122—21no—
197C2×Dic122—24no—
198C2×Dic122—42no—
199C2×Dic122—42no—
200C2×Dic122C2×Q812yes—
201C2×C8×C61—21no—
202C2×C8×C61—21no—
203C2×C8×C61—21no—
204C2×C8×C61—21no—
205C2×C8×C61—21no—
206C2×C8×C61C2×D412yes—
207C4⋊C4×C61—21no—
208C4⋊C4×C61—21no—
209C4⋊C4×C61—21no—
210C4⋊C4×C61—21no—
211C4⋊C4×C61—21no—
212C4⋊C4×C61—42no—
213C4⋊C4×C61C2×D412yes—
214C42×C61—21no—
215C42×C61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221C4⋊Dic61—42no—
222C4⋊Dic61C2×D412yes—
223#11758196—24no—
224#11758196—42no—
225#11758196—42no—
226#11758196—42no—
227#11758196—42no—
228C4×Dic61—21no—
229C4×Dic61—21no—
230C4×Dic61—22no—
231C4×Dic61—22no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418C2×D412yes—
238C8×D61—28no—
239C8×D61—44no—
240C23×C61C22×D411yescharacteristic
241C22×D61#12112yes—
242C22×D61#12112yes—
243C22×D61C22⋊Q812yes—
244C22×D61C2×SD1612yes—
245C22×D61#13512yes—
246C22×D61#13712yes—
247C22×D61#13712yes—
248Q8×C61—22no—
249Q8×C61—22no—
250Q8×C61—41no—
251Q8×C61—41no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—22no—
256C2×C4×C61—22no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61C2×SD1612yes—
270C2×C4×C61C22×D411yescharacteristic
271C2×C4×C61C22×D411yescharacteristic
272C2×C4×C61C22×Q811yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—22no—
280C2×Dic61—22no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61#12112yes—
294C2×Dic61#12112yes—
295C2×Dic61C22⋊Q812yes—
296C2×Dic61C2×SD1612yes—
297C4×D61—28no—
298C4×D61—48no—
299C4×D61—48no—
300C4×D61—44no—
301C4×D61—84no—
302C4×D61—84no—
303C4×D61#12114yes—
304C4×D61C22⋊Q814yes—
305C4×D61C22⋊Q814yes—
306C4×D61#12614yes—
307Dic122—22no—
308Dic122—22no—
309Dic122—41no—
310Dic122—41no—
311Dic122—48no—
312C8×C61—22no—
313C8×C61—41no—
314#92418—22no—
315#92418—41no—
316C2×#2066—611nomaximal, Sylow
317C22×C61C2×#12111yescharacteristic
318C22×C61C2×#12111yescharacteristic
319C22×C61C2×C22⋊Q811yescharacteristic
320C22×C61C22×SD1611yescharacteristic
321C22×C61C2×#13511yescharacteristic
322C22×C61C2×#13711yescharacteristic
323C22×C61C2×#13711yescharacteristic
324C2×D61#39614yes—
325C2×D61#46114yes—
326C2×D61#46414yes—
327C2×D61#46514yes—
328C2×D61#47014yes—
329C2×D61#47514yes—
330C2×D61#47914yes—
331C4×C61—22no—
332C4×C61—42no—
333C4×C61—42no—
334C4×C61—41no—
335C4×C61—81no—
336C4×C61—81no—
337C4×C61C2×#12111yescharacteristic
338C4×C61C2×C22⋊Q811yescharacteristic
339C4×C61C2×C22⋊Q811yescharacteristic
340C4×C61C2×#12611yescharacteristic
341Dic61—22no—
342Dic61—42no—
343Dic61—42no—
344Dic61—41no—
345Dic61—81no—
346Dic61—81no—
347Dic61#39614yes—
348C22×#106—611no—
349C22×C4⋊C8—611no—
350C22×#103—611no—
351C22×#103—611no—
352C2×#391—611no—
353C2×#389—611no—
354#2066—611no—
355#2066—611no—
356#2066—611no—
357#2066—611no—
358#2066—611no—
359#2066—611no—
360#2066—611no—
361#2066D6111yescharacteristic, direct product factor
362C2×#340—611no—
363C2×C61C2×#39611yescharacteristic
364C2×C61C2×#46111yescharacteristic
365C2×C61C2×#46411yescharacteristic
366C2×C61C2×#46511yescharacteristic
367C2×C61C2×#47011yescharacteristic
368C2×C61C2×#47511yescharacteristic
369C2×C61C2×#47911yescharacteristic
370D61#206618yesdirect product factor
371C23×Q8—611no—
372C23×C8—611no—
373C23×C8—611no—
374C22×C4⋊C4—611no—
375C22×C4⋊C4—611no—
376C22×C4⋊C4—611no—
377C22×C4⋊C4—1221no—
378C22×C42—611no—
379C2×#106—611no—
380C2×#106—611no—
381C2×#106—611no—
382C2×#106—1224no—
383C2×#106C2×D6111yescharacteristic
384C2×C4⋊C8—611no—
385C2×C4⋊C8—611no—
386C2×C4⋊C8—611no—
387C2×C4⋊C8—1224no—
388C2×C4⋊C8C2×D6111yescharacteristic
389C2×#103—611no—
390C2×#103—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×#103—611no—
394C2×#103—611no—
395C2×#103—1224no—
396C2×#103—1224no—
397C2×#103C2×D6111yescharacteristic
398C2×#103C2×D6111yescharacteristic
399#391—611no—
400#391—611no—
401#391—611no—
402#391—1221no—
403#391—1221no—
404#391C2×D6111yescharacteristic
405#389—611no—
406#389—611no—
407#389—611no—
408#389—1221no—
409#389—1221no—
410#389C2×D6111yescharacteristic
411C2×#95—1221no—
412C2×#95—1221no—
413C2×#95—1221no—
414#340—611no—
415#340—611no—
416#340—611no—
417#340C2×D6111yescharacteristic
418C61C2×#206611yescharacteristic, complemented, Sylow
419C22×Q8—614no—
420C22×Q8—611no—
421C22×Q8—1221no—
422C22×Q8—1222no—
423C22×Q8—1222no—
424C22×Q8—1222no—
425C22×Q8—1222no—
426C22×Q8—1222no—
427C22×Q8C22×D6111yescharacteristic
428C23×C4—611no—
429C23×C4—611no—
430C23×C4—611no—
431C23×C4—1221no—
432C23×C4—1221no—
433C23×C4—1221no—
434C23×C4—1221no—
435C22×C8—611no—
436C22×C8—614no—
437C22×C8—611no—
438C22×C8—1222no—
439C22×C8—1222no—
440C22×C8—1222no—
441C22×C8—1222no—
442C22×C8—1222no—
443C22×C8C22×D6111yescharacteristic
444C22×C8C22×D6111yescharacteristic
445C2×C4⋊C4—21no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—614no—
448C2×C4⋊C4—611no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—1222no—
451C2×C4⋊C4—1222no—
452C2×C4⋊C4—1222no—
453C2×C4⋊C4—1222no—
454C2×C4⋊C4—1222no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—2444no—
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C4⋊C4C22×D6111yescharacteristic
464C2×C4⋊C4C22×D6111yescharacteristic
465C2×C42—611no—
466C2×C42—611no—
467C2×C42—611no—
468C2×C42—1222no—
469C2×C42—1222no—
470C2×C42C22×D6111yescharacteristic
471#106—22no—
472#106—1222no—
473#106—1222no—
474#106—1222no—
475C4⋊C8—22no—
476C4⋊C8—1222no—
477C4⋊C8—1222no—
478C4⋊C8—1222no—
479#103—22no—
480#103—22no—
481#103—1222no—
482#103—1222no—
483#103—1222no—
484#103—1222no—
485#103—1222no—
486#103—1222no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—1221no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499C24—611no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—612no—
506C2×Q8—1224no—
507C2×Q8—1228no—
508C2×Q8—1228no—
509C2×Q8—1221no—
510C2×Q8—1221no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—1221no—
514C2×Q8—2442no—
515C2×Q8—2442no—
516C2×Q8—2444no—
517C2×Q8—2444no—
518C2×Q8Q8×D6112yes—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—611no—
524C22×C4—612no—
525C22×C4—612no—
526C22×C4—612no—
527C22×C4—612no—
528C22×C4—612no—
529C22×C4—612no—
530C22×C4—611no—
531C22×C4—614no—
532C22×C4—611no—
533C22×C4—1222no—
534C22×C4—1222no—
535C22×C4—1222no—
536C22×C4—1224no—
537C22×C4—1222no—
538C22×C4—1222no—
539C22×C4—1224no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—2442no—
545C22×C4—2442no—
546C22×C4—2442no—
547C22×C4—2442no—
548C22×C4—2442no—
549C22×C4—2442no—
550C22×C4—2442no—
551C22×C4—2442no—
552C22×C4—2442no—
553C22×C4—2442no—
554C22×C4D4×D6111yescharacteristic
555C22×C4D4×D6111yescharacteristic
556C22×C4C23×D6111yescharacteristic
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—612no—
563C2×C8—1228no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8—1221no—
569C2×C8—2444no—
570C2×C8D4×D6112yes—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—42no—
577C4⋊C4—612no—
578C4⋊C4—1224no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—1221no—
583C4⋊C4—1221no—
584C4⋊C4—2442no—
585C4⋊C4—2442no—
586C4⋊C4—2442no—
587C4⋊C4—2442no—
588C4⋊C4—2442no—
589C4⋊C4D4×D6112yes—
590C42—21no—
591C42—21no—
592C42—1222no—
593C42—1222no—
594C42—1221no—
595C42—1221no—
596C23—612no—
597C23—612no—
598C23—612no—
599C23—612no—
600C23—612no—
601C23—612no—
602C23—612no—
603C23C2×D4×D6111yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608Q8—1222no—
609Q8—1222no—
610Q8—2448no—
611Q8—2441no—
612Q8—2441no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—612no—
631C2×C4—612no—
632C2×C4—612no—
633C2×C4—614no—
634C2×C4—614no—
635C2×C4—614no—
636C2×C4—614no—
637C2×C4—612no—
638C2×C4—1228no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—1222no—
643C2×C4—1222no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—4884no—
647C2×C4—4884no—
648C2×C4—2444no—
649C2×C4—2448no—
650C2×C4—2448no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4SD16×D6112yes—
662C2×C4C2×D4×D6111yescharacteristic
663C2×C4C2×D4×D6111yescharacteristic
664C2×C4C2×Q8×D6111yescharacteristic
665C2×C4#41×D6111yescharacteristic
666C2×C4#41×D6111yescharacteristic
667C2×C4#41×D6111yescharacteristic
668C8—22no—
669C8—41no—
670C8—1222no—
671C8—2441no—
672C22—614no—
673C22—614no—
674C22—614no—
675C22—614no—
676C22—614no—
677C22—614no—
678C22—614no—
679C22#121×D6111yescharacteristic
680C22#121×D6111yescharacteristic
681C22C22⋊Q8×D6111yescharacteristic
682C22C2×SD16×D6111yescharacteristic
683C22#135×D6111yescharacteristic
684C22#137×D6111yescharacteristic
685C22#137×D6111yescharacteristic
686C4—22no—
687C4—41no—
688C4—42no—
689C4—42no—
690C4—81no—
691C4—81no—
692C4—614no—
693C4—1222no—
694C4—4881no—
695C4—4881no—
696C4—2441no—
697C4—2442no—
698C4—2442no—
699C4#121×D6111yescharacteristic
700C4C22⋊Q8×D6111yescharacteristic
701C4C22⋊Q8×D6111yescharacteristic
702C4#126×D6111yescharacteristic
703C2—618no—
704C2#396×D6111yescharacteristic
705C2#461×D6111yescharacteristic
706C2#464×D6111yescharacteristic
707C2#465×D6111yescharacteristic
708C2#470×D6111yescharacteristic
709C2#475×D6111yescharacteristic
710C2#479×D6111yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2066C2
socleC23×C61C22×D4
prime radicalC23×D61C2×D4
hypercenter#2066D61
hypocenterC61C2×#2066
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2066

Complements

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

NH ≅ G/Ntype
7. #21447201C2semidirect
8. #21447200C2semidirect
9. #21447199C2semidirect
10. #21447198C2semidirect
11. #21447197C2semidirect
12. #21447196C2semidirect
13. #21447195C2semidirect
15. C61×#2066C2semidirect
361. #2066D61direct (N × H)
370. D61#2066direct (N × H)
418. C61C2×#2066semidirect

Maximal subgroups

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

subgroupindex
C2×#106×D612
C2×C4⋊C8×D612
C2×#103×D612
#391×D612
#389×D612
#214472012
#214472002
#214471992
#214471982
#214471972
#214471962
#214471952
#340×D612
C61×#20662
C2×#206661