Finite Group Databasebeta

← #29716392

Subgroups — #29716392

Order 15616.

1146 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840471C211yesmaximal, characteristic, complemented
2C2×#16840050C211yesmaximal, characteristic, complemented
3C2×D8×Dic61C211yesmaximal, characteristic
4#21450739C211yesmaximal, characteristic, complemented
5#21447160C211yesmaximal, characteristic, complemented
6#21447158C211yesmaximal, characteristic, complemented
7#21446965C211yesmaximal, characteristic, complemented
8#21446963C211yesmaximal, characteristic, complemented
9#21446778C211yesmaximal, characteristic, complemented
10#21446753C211yesmaximal, characteristic, complemented
11#21446169C211yesmaximal, characteristic
12#21446082C211yesmaximal, characteristic, complemented
13#21446080C211yesmaximal, characteristic, complemented
14#21445817C211yesmaximal, characteristic, complemented
15C61×#1879C211yesmaximal, characteristic
16#16840471—24no—
17#16840471—24no—
18C2×#14519776C2211yescharacteristic
19C2×#14519769C2211yescharacteristic
20C2×#14519768C2211yescharacteristic
21C2×#14519756—21no—
22C2×#14519754—21no—
23C2×#14519754—21no—
24C2×#14519754—21no—
25C2×C4×Dic122C2211yescharacteristic
26C2×D4×Dic61C2211yescharacteristic
27C2×D4×Dic61C2211yescharacteristic
28C2×D4×Dic61C2211yescharacteristic
29C22×#11758196—21no—
30#16840050—24no—
31D8×Dic61—24no—
32C2×#14519711C2211yescharacteristic
33C2×#14519709C2211yescharacteristic
34C2×#14519708C2211yescharacteristic
35C2×#14519706C2211yescharacteristic
36C2×#14519698C2211yescharacteristic
37C2×#14519698C2211yescharacteristic
38C2×#14519698C2211yescharacteristic
39C2×#14519698C2211yescharacteristic
40C2×C8×Dic61C2211yescharacteristic
41#16839685—21no—
42#16839685—21no—
43#16839665C2211yescharacteristic
44#16839661C2211yescharacteristic
45#16839660C2211yescharacteristic
46#16839631C2211yescharacteristic
47#16839620—21no—
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839517C2211yescharacteristic
54#16839516C2211yescharacteristic
55#16839516C2211yescharacteristic
56C22×D8×C61C2211yescharacteristic
57C2×C4×D4×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C2×#102×C61C2211yescharacteristic
60C61×#390C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C61×#336C2211yescharacteristic
63C22×Dic122—21no—
64C22×Dic122D411yescharacteristic
65C23×Dic61—21no—
66C23×Dic61—21no—
67C23×Dic61—21no—
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70#14519776—22no—
71#14519776D414yes—
72#14519769—22no—
73#14519769—22no—
74#14519768—22no—
75#14519768—22no—
76#14519756—28no—
77#14519754—28no—
78#14519754—28no—
79#14519754—44no—
80C4×Dic122—22no—
81C4×Dic122—22no—
82D4×Dic61—22no—
83D4×Dic61—22no—
84D4×Dic61—22no—
85D4×Dic61—22no—
86D4×Dic61—22no—
87D4×Dic61D414yes—
88C2×C4⋊Dic61—21no—
89C2×C4⋊Dic61—21no—
90C2×C4⋊Dic61D411yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C4⋊Dic61C2311yescharacteristic
94C2×C4⋊Dic61C2311yescharacteristic
95C2×#11758196—28no—
96C2×#11758196—21no—
97C2×#11758196—21no—
98C2×#11758196—21no—
99C2×#11758196—21no—
100C2×#11758196—21no—
101C2×#11758196—21no—
102C2×#11758196—21no—
103C2×#11758196D411yescharacteristic
104C2×#11758196D411yescharacteristic
105C2×C22⋊Dic61—21no—
106C2×C22⋊Dic61—21no—
107C2×C22⋊Dic61—21no—
108C2×C22⋊Dic61—21no—
109C2×C22⋊Dic61—21no—
110C2×C4×Dic61C2311yescharacteristic
111C2×C4×Dic61C2311yescharacteristic
112#14519711—22no—
113#14519709—22no—
114#14519708—22no—
115#14519706—22no—
116#14519698—22no—
117#14519698—22no—
118#14519698—22no—
119#14519698—22no—
120C8×Dic61—22no—
121#14519684—21no—
122#14519684—21no—
123C22×D4×C61C2311yescharacteristic
124C22×D4×C61C2311yescharacteristic
125C23×C4×C61—21no—
126C2×D8×C61—22no—
127C2×D8×C61—22no—
128C2×D8×C61Q814yescomplemented
129C22×C8×C61C2311yescharacteristic
130C22×C8×C61C2311yescharacteristic
131C4×D4×C61—22no—
132C4×D4×C61—22no—
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C22⋊C4×C61—21no—
136C2×C22⋊C4×C61—21no—
137C2×C22⋊C4×C61—21no—
138C2×C42×C61C2311yescharacteristic
139#102×C61—22no—
140#102×C61—22no—
141C24×C61—21no—
142C24×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61C2×D412yes—
152C2×D4×C61C2×Q812yes—
153C2×D4×C61C2×Q812yes—
154C2×D4×C61#4112yes—
155C22×C4×C61—21no—
156C22×C4×C61—24no—
157C22×C4×C61—21no—
158C22×C4×C61—81no—
159C22×C4×C61—81no—
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2411yescharacteristic
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—24no—
166C22×Dic61—24no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61—42no—
170C22×Dic61—42no—
171C22×Dic61—42no—
172C22×Dic61—42no—
173C22×Dic61—42no—
174C22×Dic61—81no—
175C22×Dic61—81no—
176C22×Dic61C2×D411yescharacteristic
177C22×Dic61C2×D411yescharacteristic
178C22×Dic61C2×D411yescharacteristic
179C22×Dic61C2×D411yescharacteristic
180C2×Dic122—22no—
181C2×Dic122—22no—
182C2×Dic122—22no—
183C2×Dic122—24no—
184C2×Dic122—81no—
185C2×Dic122—81no—
186D8×C61—28no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C2×C8×C61C2×Q812yes—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61C2×D412yes—
197C22⋊C4×C61—24no—
198C22⋊C4×C61—42no—
199C22⋊C4×C61—81no—
200C42×C61—21no—
201C42×C61—21no—
202C22⋊Dic61—24no—
203C22⋊Dic61—24no—
204C22⋊Dic61—42no—
205C22⋊Dic61—42no—
206C22⋊Dic61—81no—
207C4⋊Dic61—24no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—22no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—42no—
216C4⋊Dic61C2×D412yes—
217C4⋊Dic61C2×D412yes—
218#11758196—24no—
219#11758196—24no—
220#11758196—24no—
221#11758196—22no—
222#11758196—24no—
223#11758196—22no—
224#11758196—42no—
225#11758196—42no—
226#11758196—81no—
227C4×Dic61—21no—
228C4×Dic61—21no—
229C4×Dic61C2×D412yes—
230C4×Dic61C2×D412yes—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C23×C61—22no—
238C23×C61—22no—
239C23×C61—22no—
240C23×C61—22no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61—41no—
250C23×C61—41no—
251C23×C61C22×D411yescharacteristic
252D4×C61—22no—
253D4×C61—22no—
254D4×C61—22no—
255D4×C61—22no—
256D4×C61—22no—
257D4×C61—41no—
258D4×C61—41no—
259D4×C61C22⋊Q814yescomplemented
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—22no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—84no—
273C2×C4×C61C22×D411yescharacteristic
274C2×C4×C61C22×D411yescharacteristic
275C2×C4×C61C22×Q811yescharacteristic
276C2×C4×C61C2×#4111yescharacteristic
277C2×C4×C612−1+411yescharacteristic
278C2×C4×C612−1+411yescharacteristic
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—48no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—84no—
301C2×Dic61—84no—
302C2×Dic61#12012yes—
303C2×Dic61#12012yes—
304C2×Dic61#13512yes—
305C2×Dic61AGL(1,ℤ/8)12yes—
306Dic122—44no—
307Dic122—84no—
308C8×C61—22no—
309C8×C61—41no—
310#92418—41no—
311#92418—41no—
312#24327—611nomaximal, Sylow
313C22×C61—24no—
314C22×C61—42no—
315C22×C61—42no—
316C22×C61—42no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—81no—
324C22×C61—81no—
325C22×C61—81no—
326C22×C61—81no—
327C22×C61C2×#12011yescharacteristic
328C22×C61#54811yescharacteristic
329C22×C61D4×Q811yescharacteristic
330C22×C61C2×#13511yescharacteristic
331C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
332C22×C61#57611yescharacteristic
333C22×C61#57711yescharacteristic
334C4×C61—41no—
335C4×C61—42no—
336C4×C61—41no—
337C4×C61—81no—
338C4×C61C2×C22⋊Q811yescharacteristic
339C4×C61#53611yescharacteristic
340C4×C61#54811yescharacteristic
341C4×C61D4×Q811yescharacteristic
342Dic61—22no—
343Dic61—41no—
344Dic61—42no—
345Dic61—42no—
346Dic61—41no—
347Dic61—81no—
348Dic61—81no—
349Dic61#44914yes—
350C2×#554—611no—
351C2×#476—611no—
352C2×C4×D8—611no—
353#2538—611no—
354#2059—611no—
355#2059—611no—
356#2025—611no—
357#2025—611no—
358#1990—611no—
359#1984—611no—
360#1879—611no—
361#1879D6111yescharacteristic
362#1864—611no—
363#1864—611no—
364#1802—611no—
365C2×C61—44no—
366C2×C61—82no—
367C2×C61#240911yescharacteristic
368C2×C61C2×#44911yescharacteristic
369C2×C61#301211yescharacteristic
370C2×C61#336011yescharacteristic
371C2×C61#336611yescharacteristic
372C2×C61#338011yescharacteristic
373C2×C61#338411yescharacteristic
374C22×D8C2×D6111yescharacteristic
375#554—1224no—
376#554—1224no—
377C2×C4⋊Q8—611no—
378C2×#125—611no—
379C2×#125—611no—
380C2×C22⋊Q8—1221no—
381C2×C22⋊Q8—1221no—
382C2×C22⋊Q8—1221no—
383C2×C22⋊Q8—1221no—
384C2×C4×Q8—611no—
385C2×C4×D4—611no—
386C2×C4×D4—611no—
387C2×C4×D4—611no—
388C2×C4×D4C2×D6111yescharacteristic
389C22×C4⋊C4—1221no—
390#476—1224no—
391C4×D8—1224no—
392C2×#107—611no—
393C2×#106—611no—
394C2×#106—611no—
395C2×C4⋊C8—611no—
396C2×#102—611no—
397C2×#102—611no—
398C2×#102—611no—
399C2×#102—611no—
400C2×#102C2×D6111yescharacteristic
401C2×#102C2×D6111yescharacteristic
402C2×C4×C8—611no—
403#396—1221no—
404#396—1221no—
405#390—611no—
406#390C2×D6111yescharacteristic
407#389—611no—
408#389—611no—
409#384—611no—
410#380—1221no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340C2×D6111yescharacteristic
417#336—611no—
418#336—611no—
419#336—611no—
420#336C2×D6111yescharacteristic
421C61#2432711yescharacteristic, complemented, Sylow
422C22×Q8—611no—
423C22×Q8—1221no—
424C22×D4C22×D6111yescharacteristic
425C22×D4C22×D6111yescharacteristic
426C23×C4—21no—
427C23×C4—1221no—
428C23×C4—1221no—
429C23×C4—1221no—
430C2×D8—22no—
431C2×D8—22no—
432C2×D8Dic12214yescomplemented
433C22×C8—611no—
434C22×C8—611no—
435C22×C8C22×D6111yescharacteristic
436C22×C8C22×D6111yescharacteristic
437C4⋊Q8—614no—
438C4⋊Q8—1222no—
439#125—1222no—
440#125—1222no—
441#125—1222no—
442#125—1222no—
443C22⋊Q8—1228no—
444C22⋊Q8—1228no—
445C22⋊Q8—1228no—
446C22⋊Q8—2444no—
447C4×Q8—1222no—
448C4×Q8—1222no—
449C4×D4—22no—
450C4×D4—22no—
451C4×D4—614no—
452C4×D4—1222no—
453C4×D4—1222no—
454C4×D4—1222no—
455C4×D4—1222no—
456C4×D4—1222no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1228no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4—1221no—
470C2×C4⋊C4—1221no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4C22×D6111yescharacteristic
475C2×C4⋊C4C22×D6111yescharacteristic
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1221no—
482C2×C22⋊C4—1221no—
483C2×C22⋊C4—1221no—
484C2×C42—611no—
485C2×C42—611no—
486C2×C42C22×D6111yescharacteristic
487#107—1222no—
488#106—1222no—
489#106—1222no—
490C4⋊C8—1222no—
491#102—22no—
492#102—22no—
493#102—1222no—
494#102—1222no—
495#102—1222no—
496#102—1222no—
497C4×C8—1222no—
498#95—1221no—
499#95—1221no—
500C24—21no—
501C24—21no—
502C2×Q8—1224no—
503C2×Q8—1222no—
504C2×Q8—1222no—
505C2×Q8—1222no—
506C2×Q8—4881no—
507C2×Q8—4881no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4C2×Dic12212yes—
517C2×D4C2×Dic12212yes—
518C2×D4D4×D6112yes—
519C2×D4#1175822412yes—
520C22×C4—21no—
521C22×C4—24no—
522C22×C4—21no—
523C22×C4—81no—
524C22×C4—81no—
525C22×C4—611no—
526C22×C4—611no—
527C22×C4—611no—
528C22×C4—611no—
529C22×C4—1224no—
530C22×C4—1224no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—4881no—
536C22×C4—4881no—
537C22×C4—2442no—
538C22×C4—2442no—
539C22×C4—2442no—
540C22×C4—2442no—
541C22×C4—2442no—
542C22×C4D4×D6111yescharacteristic
543C22×C4D4×D6111yescharacteristic
544C22×C4C23×D6111yescharacteristic
545D8—28no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8C2×Dic12212yes—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—612no—
562C4⋊C4—612no—
563C4⋊C4—1222no—
564C4⋊C4—1222no—
565C4⋊C4—1222no—
566C4⋊C4—1224no—
567C4⋊C4—1224no—
568C4⋊C4—1224no—
569C4⋊C4—1224no—
570C4⋊C4—1224no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—4881no—
578C4⋊C4—2442no—
579C4⋊C4—2442no—
580C4⋊C4—2442no—
581C4⋊C4D4×D6112yes—
582C22⋊C4—24no—
583C22⋊C4—42no—
584C22⋊C4—81no—
585C22⋊C4—1224no—
586C22⋊C4—1224no—
587C22⋊C4—4881no—
588C22⋊C4—2442no—
589C22⋊C4—2442no—
590C42—21no—
591C42—21no—
592C42—612no—
593C42—612no—
594C42—1221no—
595C42—1221no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23C2×D4×D6111yescharacteristic
611Q8—4884no—
612Q8—2444no—
613D4—22no—
614D4—22no—
615D4—22no—
616D4—22no—
617D4—22no—
618D4—41no—
619D4—41no—
620D4#1451975414yescomplemented
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—84no—
634C2×C4—612no—
635C2×C4—612no—
636C2×C4—612no—
637C2×C4—612no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—1222no—
643C2×C4—1222no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—4884no—
649C2×C4—4884no—
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×C4C2×D4×D6111yescharacteristic
662C2×C4C2×D4×D6111yescharacteristic
663C2×C4C22×Dic12211yescharacteristic
664C2×C4C2×#1175822411yescharacteristic
665C2×C4#1451982411yescharacteristic
666C2×C4#1451982411yescharacteristic
667C8—22no—
668C8—41no—
669C8—2441no—
670C8—2441no—
671C22—24no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22#120×D6111yescharacteristic
686C22#1684041811yescharacteristic
687C22D4×Dic12211yescharacteristic
688C22#135×D6111yescharacteristic
689C22AGL(1,ℤ/8)×D6111yescharacteristic
690C22#1684056311yescharacteristic
691C22#1684057211yescharacteristic
692C4—41no—
693C4—42no—
694C4—41no—
695C4—81no—
696C4—614no—
697C4—1222no—
698C4—4881no—
699C4—4881no—
700C4—2441no—
701C4—2442no—
702C4—2441no—
703C4—2442no—
704C4C2×#1451975411yescharacteristic
705C4#1684033411yescharacteristic
706C4#1684041811yescharacteristic
707C4D4×Dic12211yescharacteristic
708C2—44no—
709C2—82no—
710C2#2144918111yescharacteristic
711C2#449×D6111yescharacteristic
712C2#2145511811yescharacteristic
713C2#2145846311yescharacteristic
714C2#2145852111yescharacteristic
715C2#2145868611yescharacteristic
716C2#2145871911yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1879C2
socleC23×C61C22×D4
prime radicalC22×D8×C61C22
hypercenter#1879D61
hypocenterC61#24327
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1879

Complements

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

NH ≅ G/Ntype
1. C2×#16840471C2semidirect
2. C2×#16840050C2semidirect
4. #21450739C2semidirect
5. #21447160C2semidirect
6. #21447158C2semidirect
7. #21446965C2semidirect
8. #21446963C2semidirect
9. #21446778C2semidirect
10. #21446753C2semidirect
12. #21446082C2semidirect
13. #21446080C2semidirect
14. #21445817C2semidirect
128. C2×D8×C61Q8semidirect
259. D4×C61C22⋊Q8semidirect
421. C61#24327semidirect
432. C2×D8Dic122semidirect
620. D4#14519754semidirect

Maximal subgroups

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

subgroupindex
C2×#168404712
C2×#168400502
C2×D8×Dic612
#214507392
#214471602
#214471582
#214469652
#214469632
#214467782
#214467532
#214461692
#214460822
#214460802
#214458172
C61×#18792
#2432761