Finite Group Databasebeta

← #29681250

Subgroups — #29681250

Order 15616.

1934 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C22⋊Q8×D61C211yesmaximal, characteristic
2C22×#14519735C211yesmaximal, characteristic
3C2×#16839769C212yesmaximal, complemented
4C2×#16839724C211yesmaximal, characteristic
5#21446130C212yesmaximal, complemented
6#21446128C212yesmaximal, complemented
7#21446127C211yesmaximal, characteristic, complemented
8#21446126C211yesmaximal, characteristic, complemented
9#21446124C211yesmaximal, characteristic, complemented
10#21445537C212yesmaximal, complemented
11C61×#1872C211yesmaximal, characteristic, complemented
12C22×Q8×D61C2211yescharacteristic
13C23×C4×D61C2211yescharacteristic
14C22×#11758189C2212yes—
15C2×#14519757C2211yescharacteristic
16C2×#14519756C2211yescharacteristic
17C2×#14519755—21no—
18C2×#14519754—21no—
19C2×#14519753C2211yescharacteristic
20C22⋊Q8×D61—24no—
21C22⋊Q8×D61C418yescomplemented
22C2×#14519735—28no—
23C2×#14519735—21no—
24C2×#14519735—21no—
25C2×#14519735C2212yes—
26C2×#14519735C2212yes—
27C22×C4⋊Dic61C2211yescharacteristic
28C2×C4⋊C4×D61—21no—
29C2×C4⋊C4×D61C2211yescharacteristic
30C22×#11758198—21no—
31C2×C22⋊C4×D61—21no—
32C22×C4×Dic61—21no—
33#16839769—28no—
34C2×#14519702C2212yescomplemented
35C2×#14519701C2212yescomplemented
36C2×#14519700C2212yescomplemented
37#16839724—24no—
38C2×C22⋊#92418C2211yescharacteristic
39C2×#14519689C2212yes—
40#16839525C2212yescomplemented
41#16839524C2212yescomplemented
42#16839524C2212yescomplemented
43C2×C22⋊Q8×C61C2211yescharacteristic
44C22×C4⋊C4×C61C2211yescharacteristic
45C2×#103×C61C2212yescomplemented
46C2×C22⋊C8×C61C2211yescharacteristic
47C61×#340C2212yescomplemented
48C24×D61D411yescharacteristic
49C22×Dic122—21no—
50C22×Dic122C2311yescharacteristic
51C2×Q8×D61—22no—
52C2×Q8×D61—24no—
53C2×Q8×D61—24no—
54C2×Q8×D61C2×C414yescomplemented
55C23×Dic61—21no—
56C23×Dic61D411yescharacteristic
57C22×C4×D61—24no—
58C22×C4×D61—24no—
59C22×C4×D61—21no—
60C22×C4×D61—21no—
61C22×C4×D61C2×C414yes—
62C22×C4×D61D411yescharacteristic
63C22×C4×D61D411yescharacteristic
64C22×C4×D61D414yes—
65C22×C4×D61C2311yescharacteristic
66C22×C4×D61C2311yescharacteristic
67C2×#11758189—24no—
68C2×#11758189—24no—
69C2×#11758189—24no—
70C22×#92418C2312yes—
71#14519757—22no—
72#14519757C2×C414yescomplemented
73#14519756—22no—
74#14519756C2×C414yes—
75#14519755—28no—
76#14519754—28no—
77#14519753—22no—
78#14519753C2×C414yescomplemented
79#14519735—28no—
80#14519735—28no—
81#14519735—24no—
82#14519735—24no—
83#14519735—24no—
84#14519735D418yes—
85C2×C4⋊Dic61—21no—
86C2×C4⋊Dic61—21no—
87C2×C4⋊Dic61—24no—
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C4⋊Dic61C2312yes—
90C2×#11758196—21no—
91C2×#11758196—21no—
92C2×#11758196—21no—
93C4⋊C4×D61—28no—
94C4⋊C4×D61—22no—
95C4⋊C4×D61C2×C414yescomplemented
96C2×C22⋊Dic61—21no—
97C2×#11758198—28no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C2×#11758198—22no—
101C2×#11758198—22no—
102C22⋊C4×D61—28no—
103C2×C4×Dic61—28no—
104C2×C4×Dic61—22no—
105C2×C4×Dic61—22no—
106#14519702—24no—
107#14519701—24no—
108#14519700—24no—
109C22⋊#92418—22no—
110#14519689—24no—
111C22×Q8×C61C2311yescharacteristic
112C23×C4×C61—21no—
113C23×C4×C61C2311yescharacteristic
114C22×C8×C61C2312yes—
115C22⋊Q8×C61—22no—
116C22⋊Q8×C61C2×C414yes—
117C2×C4⋊C4×C61—21no—
118C2×C4⋊C4×C61—21no—
119C2×C4⋊C4×C61—24no—
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C4⋊C4×C61C2312yes—
122C2×C22⋊C4×C61—21no—
123#103×C61—24no—
124C22⋊C8×C61—22no—
125C24×C61C2×D411yescharacteristic
126C23×D61—22no—
127C23×D61—22no—
128C23×D61—22no—
129C23×D61—22no—
130C23×D61—41no—
131C23×D61—41no—
132C23×D61C22⋊C414yes—
133C23×D61C2×D411yescharacteristic
134C23×D61C2×D411yescharacteristic
135C2×Q8×C61—21no—
136C2×Q8×C61—22no—
137C2×Q8×C61—22no—
138C2×Q8×C61C22×C412yes—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—24no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—22no—
145C22×C4×C61—42no—
146C22×C4×C61—42no—
147C22×C4×C61C22×C412yes—
148C22×C4×C61C2×D411yescharacteristic
149C22×C4×C61C2×D412yes—
150C22×C4×C61C2411yescharacteristic
151C22×Dic61—22no—
152C22×Dic61—22no—
153C22×Dic61—24no—
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61—22no—
157C22×Dic61—42no—
158C22×Dic61—42no—
159C22×Dic61C22⋊C414yes—
160C22×Dic61C2×D411yescharacteristic
161C22×Dic61C2×D411yescharacteristic
162Q8×D61—216no—
163Q8×D61—48no—
164C2×C4×D61—22no—
165C2×C4×D61—22no—
166C2×C4×D61—22no—
167C2×C4×D61—22no—
168C2×C4×D61—22no—
169C2×C4×D61—22no—
170C2×C4×D61—216no—
171C2×C4×D61—216no—
172C2×C4×D61—24no—
173C2×C4×D61—24no—
174C2×C4×D61—42no—
175C2×C4×D61—42no—
176C2×C4×D61—42no—
177C2×C4×D61—42no—
178C2×C4×D61C22⋊C414yes—
179C2×C4×D61C22⋊C414yes—
180C2×C4×D61C22×C412yes—
181C2×C4×D61C22×C412yes—
182C2×C4×D61C2×D412yes—
183C2×C4×D61C2×D414yes—
184C2×C4×D61C2×D412yes—
185C2×C4×D61#4114yes—
186C2×Dic122—22no—
187C2×Dic122—22no—
188C2×Dic122—21no—
189C2×Dic122—24no—
190C2×Dic122—42no—
191C2×Dic122—42no—
192C2×Dic122C22×C412yes—
193C2×C8×C61—22no—
194C2×C8×C61—22no—
195C2×C8×C61—22no—
196C4⋊C4×C61—24no—
197C4⋊C4×C61—24no—
198C4⋊C4×C61—22no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61C22×C412yes—
201C4⋊C4×C61C2×D414yes—
202C22⋊C4×C61—24no—
203C22⋊Dic61—24no—
204#11758198—28no—
205#11758198—24no—
206#11758198—24no—
207#11758198—28no—
208C4⋊Dic61—24no—
209C4⋊Dic61—21no—
210C4⋊Dic61—22no—
211C4⋊Dic61—24no—
212C4⋊Dic61C22×C412yes—
213C4⋊Dic61C2×D414yes—
214#11758196—24no—
215#11758196—24no—
216#11758196—24no—
217C4×Dic61—28no—
218C4×Dic61—28no—
219C2×#92418—22no—
220C2×#92418—22no—
221C2×#92418—22no—
222#11758189—48no—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61C2×C22⋊C412yes—
228C23×C61#13712yes—
229C23×C61#13712yes—
230C23×C61C22×D411yescharacteristic
231C22×D61—21no—
232C22×D61—21no—
233C22×D61—21no—
234C22×D61—21no—
235C22×D61—21no—
236C22×D61—21no—
237C22×D61—21no—
238C22×D61—21no—
239C22×D61—21no—
240C22×D61—21no—
241C22×D61—28no—
242C22×D61—28no—
243C22×D61—44no—
244C22×D61—44no—
245C22×D61—44no—
246C22×D61—44no—
247C22×D61—44no—
248C22×D61C2×C22⋊C412yes—
249C22×D61C2×C22⋊C412yes—
250C22×D61#12012yes—
251C22×D61#12312yes—
252Q8×C61—24no—
253Q8×C61—42no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—24no—
257C2×C4×C61—24no—
258C2×C4×C61—22no—
259C2×C4×C61—22no—
260C2×C4×C61—24no—
261C2×C4×C61—48no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—42no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—42no—
268C2×C4×C61C2×C22⋊C412yes—
269C2×C4×C61C23×C411yescharacteristic
270C2×C4×C61C22×D412yes—
271C2×C4×C61C22×D411yescharacteristic
272C2×C4×C61C2×#4112yes—
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—28no—
276C2×Dic61—22no—
277C2×Dic61—22no—
278C2×Dic61—24no—
279C2×Dic61—48no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—42no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—42no—
286C2×Dic61C2×C22⋊C412yes—
287C2×Dic61C2×C22⋊C412yes—
288C2×Dic61#12012yes—
289C2×Dic61#12312yes—
290C4×D61—28no—
291C4×D61—24no—
292C4×D61—24no—
293C4×D61—28no—
294C4×D61—48no—
295C4×D61—48no—
296C4×D61C4×D418yes—
297C4×D61#12118yes—
298Dic122—24no—
299Dic122—42no—
300Dic122—48no—
301C8×C61—42no—
302#92418—42no—
303#20911—611nomaximal, Sylow
304C22×C61—22no—
305C22×C61—22no—
306C22×C61—22no—
307C22×C61—22no—
308C22×C61—22no—
309C22×C61—22no—
310C22×C61#41914yescomplemented
311C22×C61C22×C22⋊C411yescharacteristic
312C22×C61C2×#12011yescharacteristic
313C22×C61C2×#12311yescharacteristic
314C22×C61C2×#13711yescharacteristic
315C22×C61C2×#13711yescharacteristic
316C22×C61#57511yescharacteristic
317C22×C61#57511yescharacteristic
318C2×D61—22no—
319C2×D61—22no—
320C2×D61—22no—
321C2×D61—22no—
322C2×D61—22no—
323C2×D61—22no—
324C2×D61—22no—
325C2×D61—22no—
326C2×D61—22no—
327C2×D61—416no—
328C2×D61—41no—
329C2×D61—41no—
330C2×D61—41no—
331C2×D61—41no—
332C2×D61#38614yes—
333C4×C61—22no—
334C4×C61—42no—
335C4×C61—44no—
336C4×C61—42no—
337C4×C61C2×C4×D412yes—
338C4×C61C2×#12112yes—
339Dic61—22no—
340Dic61—42no—
341Dic61—44no—
342Dic61—42no—
343Dic61#38614yes—
344C22×C22⋊Q8—611no—
345C22×#117—611no—
346C2×#419—612no—
347C2×#407—611no—
348#1873—612no—
349#1873—612no—
350#1872—611no—
351#1872—611no—
352#1872—611no—
353#1872D6111yescharacteristic, complemented
354#1736—612no—
355C2×C61—24no—
356C2×C61C2×#38611yescharacteristic
357C2×C61C2×#41911yescharacteristic
358C2×C61#289611yescharacteristic
359C2×C61#300711yescharacteristic
360C2×C61#300711yescharacteristic
361C2×C61#309511yescharacteristic
362C2×C61#309511yescharacteristic
363D61—24no—
364D61—42no—
365C23×Q8—611no—
366C24×C4—611no—
367C22×M16—612no—
368C2×C22⋊Q8—611no—
369C2×C22⋊Q8—611no—
370C2×C22⋊Q8—618no—
371C2×C22⋊Q8—611no—
372C2×C22⋊Q8—1221no—
373C2×C22⋊Q8—1221no—
374C2×C22⋊Q8—1224no—
375C2×C22⋊Q8C2×D6111yescharacteristic
376C2×#117—612no—
377C2×#117—612no—
378C2×#117—1228no—
379C2×#117—1221no—
380C2×#117—1221no—
381C22×C4⋊C4—611no—
382C22×C4⋊C4—611no—
383C22×C4⋊C4—1221no—
384C22×C4⋊C4C2×D6111yescharacteristic
385C22×C22⋊C4—1221no—
386C22×C22⋊C4—1221no—
387C22×C42—1221no—
388#419—1228no—
389C2×#103—612no—
390C2×#103—612no—
391C2×#103—612no—
392C2×#103C2×D6112yescomplemented
393#407—1224no—
394C2×C22⋊C8—611no—
395C2×C22⋊C8—612no—
396C2×C22⋊C8C2×D6111yescharacteristic
397#340—612no—
398#340—612no—
399#340—612no—
400#340C2×D6112yescomplemented
401C61#2091111yescharacteristic, complemented, Sylow
402C25—611no—
403C22×Q8—614no—
404C22×Q8—611no—
405C22×Q8—1221no—
406C22×Q8—1222no—
407C22×Q8—1224no—
408C22×Q8—1224no—
409C22×Q8C22×D6111yescharacteristic
410C23×C4—21no—
411C23×C4—611no—
412C23×C4—611no—
413C23×C4—614no—
414C23×C4—611no—
415C23×C4—611no—
416C23×C4—614no—
417C23×C4—611no—
418C23×C4—1224no—
419C23×C4—1224no—
420C23×C4—1221no—
421C23×C4—1221no—
422C23×C4—1221no—
423C23×C4C22×D6111yescharacteristic
424C2×M16—1224no—
425C2×M16—1224no—
426C2×M16—1224no—
427C22×C8—612no—
428C22×C8C22×D6112yes—
429C22⋊Q8—22no—
430C22⋊Q8—614no—
431C22⋊Q8—614no—
432C22⋊Q8—614no—
433C22⋊Q8—1228no—
434C22⋊Q8—1228no—
435C22⋊Q8—1222no—
436C22⋊Q8—1222no—
437C22⋊Q8—1222no—
438C22⋊Q8C4×D6114yes—
439#117—618no—
440#117—1224no—
441#117—1224no—
442#117—1228no—
443#117—1228no—
444#117—1224no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—24no—
448C2×C4⋊C4—612no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—614no—
451C2×C4⋊C4—1222no—
452C2×C4⋊C4—1228no—
453C2×C4⋊C4—1224no—
454C2×C4⋊C4—1221no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4C22×D6111yescharacteristic
460C2×C4⋊C4C22×D6112yes—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—1228no—
463C2×C22⋊C4—1222no—
464C2×C22⋊C4—1222no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1228no—
468C2×C22⋊C4—1221no—
469C2×C42—1222no—
470C2×C42—1222no—
471C2×C42—1228no—
472#103—24no—
473#103—1224no—
474#103—1224no—
475#103—1224no—
476C22⋊C8—22no—
477C22⋊C8—1224no—
478C22⋊C8—1222no—
479C24—611no—
480C24—611no—
481C24—614no—
482C24—1222no—
483C24—1222no—
484C24—1222no—
485C24—1222no—
486C24—2441no—
487C24—2441no—
488C24D4×D6111yescharacteristic
489C2×Q8—21no—
490C2×Q8—22no—
491C2×Q8—22no—
492C2×Q8—612no—
493C2×Q8—1224no—
494C2×Q8—12216no—
495C2×Q8—1221no—
496C2×Q8—1222no—
497C2×Q8—1222no—
498C2×Q8—2442no—
499C2×Q8—2442no—
500C2×Q8—2448no—
501C2×Q8C2×C4×D6112yes—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—611no—
511C22×C4—612no—
512C22×C4—612no—
513C22×C4—614no—
514C22×C4—614no—
515C22×C4—611no—
516C22×C4—614no—
517C22×C4—612no—
518C22×C4—612no—
519C22×C4—614no—
520C22×C4—614no—
521C22×C4—1222no—
522C22×C4—1222no—
523C22×C4—12216no—
524C22×C4—12216no—
525C22×C4—1222no—
526C22×C4—1222no—
527C22×C4—1224no—
528C22×C4—1224no—
529C22×C4—1222no—
530C22×C4—1222no—
531C22×C4—1222no—
532C22×C4—1222no—
533C22×C4—1224no—
534C22×C4—1222no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—2442no—
538C22×C4—2442no—
539C22×C4—2442no—
540C22×C4—2442no—
541C22×C4—2442no—
542C22×C4—2442no—
543C22×C4C2×C4×D6112yes—
544C22×C4D4×D6112yes—
545C22×C4D4×D6111yescharacteristic
546C22×C4C23×D6111yescharacteristic
547M16—2448no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—1222no—
552C2×C8—1222no—
553C2×C8—1222no—
554C4⋊C4—24no—
555C4⋊C4—22no—
556C4⋊C4—21no—
557C4⋊C4—24no—
558C4⋊C4—612no—
559C4⋊C4—614no—
560C4⋊C4—1224no—
561C4⋊C4—1224no—
562C4⋊C4—1224no—
563C4⋊C4—1224no—
564C4⋊C4—1222no—
565C4⋊C4—1221no—
566C4⋊C4—1224no—
567C4⋊C4C2×C4×D6112yes—
568C4⋊C4D4×D6114yes—
569C22⋊C4—24no—
570C22⋊C4—1228no—
571C22⋊C4—1224no—
572C22⋊C4—1224no—
573C22⋊C4—1228no—
574C22⋊C4—1224no—
575C42—1228no—
576C42—1228no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—612no—
582C23—612no—
583C23—612no—
584C23—612no—
585C23—1228no—
586C23—1221no—
587C23—1221no—
588C23—1221no—
589C23—1221no—
590C23—1221no—
591C23—1221no—
592C23—1228no—
593C23—1221no—
594C23—1221no—
595C23—1221no—
596C23—1221no—
597C23—2444no—
598C23—2444no—
599C23—2444no—
600C23—2444no—
601C23—2444no—
602C23C22⋊C4×D6112yes—
603C23#1451980612yes—
604C23#1451980912yes—
605C23C2×D4×D6111yescharacteristic
606Q8—24no—
607Q8—42no—
608Q8—1224no—
609Q8—2448no—
610Q8—2442no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—48no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—612no—
626C2×C4—612no—
627C2×C4—612no—
628C2×C4—618no—
629C2×C4—618no—
630C2×C4—612no—
631C2×C4—1228no—
632C2×C4—1228no—
633C2×C4—1228no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1224no—
637C2×C4—1224no—
638C2×C4—1222no—
639C2×C4—1222no—
640C2×C4—1224no—
641C2×C4—2448no—
642C2×C4—2448no—
643C2×C4—2448no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2442no—
647C2×C4—2441no—
648C2×C4—2442no—
649C2×C4—2441no—
650C2×C4C22⋊C4×D6112yes—
651C2×C4C22×C4×D6111yescharacteristic
652C2×C4C2×D4×D6112yes—
653C2×C4C2×D4×D6111yescharacteristic
654C2×C4#41×D6112yes—
655C8—42no—
656C8—2442no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—614no—
664C22—1222no—
665C22—1222no—
666C22—1222no—
667C22—1222no—
668C22—1222no—
669C22—1222no—
670C22—1222no—
671C22—1222no—
672C22—1222no—
673C22—24416no—
674C22—2441no—
675C22—2441no—
676C22—2441no—
677C22—2441no—
678C22#1683976914yescomplemented
679C22C2×C22⋊C4×D6111yescharacteristic
680C22#120×D6111yescharacteristic
681C22#123×D6111yescharacteristic
682C22C2×#1451980611yescharacteristic
683C22C2×#1451980911yescharacteristic
684C22#1684055811yescharacteristic
685C22#1684056111yescharacteristic
686C4—22no—
687C4—42no—
688C4—44no—
689C4—42no—
690C4—614no—
691C4—1222no—
692C4—2442no—
693C4—2444no—
694C4—2442no—
695C4C4×D4×D6112yes—
696C4#121×D6112yes—
697C2—24no—
698C2—1224no—
699C2—2442no—
700C2#386×D6111yescharacteristic
701C2C2×#1683976911yescharacteristic
702C2#2145433511yescharacteristic
703C2#2145507411yescharacteristic
704C2#2145507811yescharacteristic
705C2#2145576211yescharacteristic
706C2#2145576411yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1872C2
socleC23×C61C22×D4
prime radicalC24×D61D4
cosocleC22×C4×C61C24
hypercenter#1872D61
hypocenterC61#20911
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1872

Complements

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

NH ≅ G/Ntype
3. C2×#16839769C2semidirect
5. #21446130C2semidirect
6. #21446128C2semidirect
7. #21446127C2semidirect
8. #21446126C2semidirect
9. #21446124C2semidirect
10. #21445537C2semidirect
11. C61×#1872C2semidirect
21. C22⋊Q8×D61C4semidirect
34. C2×#14519702C22semidirect
35. C2×#14519701C22semidirect
36. C2×#14519700C22semidirect
40. #16839525C22semidirect
41. #16839524C22semidirect
42. #16839524C22semidirect
45. C2×#103×C61C22semidirect
47. C61×#340C22semidirect
54. C2×Q8×D61C2×C4semidirect
72. #14519757C2×C4semidirect
78. #14519753C2×C4semidirect
95. C4⋊C4×D61C2×C4semidirect
310. C22×C61#419semidirect
353. #1872D61semidirect
392. C2×#103C2×D61semidirect
400. #340C2×D61semidirect
401. C61#20911semidirect
678. C22#16839769semidirect

Maximal subgroups

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

subgroupindex
C2×C22⋊Q8×D612
C22×#145197352
C2×#168397692
C2×#168397242
#214461302
#214461282
#214461272
#214461262
#214461242
#214455372
C61×#18722
#2091161