Finite Group Databasebeta

← #29686427

Subgroups — #29686427

Order 15616.

1044 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×#16839962C211yesmaximal, characteristic
2C2×#16839860C211yesmaximal, characteristic, complemented
3C2×C4×#11758201C211yesmaximal, characteristic, complemented
4#21448544C211yesmaximal, characteristic
5#21446746C211yesmaximal, characteristic
6#21446587C211yesmaximal, characteristic, complemented
7#21446446C211yesmaximal, characteristic, complemented
8#21446439C211yesmaximal, characteristic, complemented
9#21446174C211yesmaximal, characteristic, complemented
10#21446174C211yesmaximal, characteristic, complemented
11#21445834C211yesmaximal, characteristic, complemented
12#21445676C211yesmaximal, characteristic, complemented
13#21445647C211yesmaximal, characteristic, complemented
14C4×#14519697C211yesmaximal, characteristic, complemented
15C61×#2276C211yesmaximal, characteristic, complemented
16C22×#11758201C2211yescharacteristic
17C22×#11758201C2211yescharacteristic
18C2×#14519774C2211yescharacteristic
19C2×C4×D244C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21#16839962C418yescomplemented
22#16839860—24no—
23C4×#11758201—24no—
24C2×#14519710C2211yescharacteristic
25C2×#14519708C2211yescharacteristic
26C2×C4⋊#92418C2211yescharacteristic
27C2×C4⋊#92418C2211yescharacteristic
28C2×#14519701C2211yescharacteristic
29C2×#14519701C2211yescharacteristic
30C2×#14519697C2211yescharacteristic
31C2×#14519697C2211yescharacteristic
32C2×#14519697C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35C2×#14519697C2211yescharacteristic
36C2×#14519688C2211yescharacteristic
37C2×C4×#92418C2211yescharacteristic
38#16839664C2211yescharacteristic
39#16839664C2211yescharacteristic
40#16839640—21no—
41#16839640—21no—
42#16839640—21no—
43#16839640—21no—
44#16839628C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839517C2211yescharacteristic
50#16839517C2211yescharacteristic
51C2×C4×Q8×C61C2211yescharacteristic
52C2×C4×Q8×C61C2211yescharacteristic
53C2×C4×Q8×C61C2211yescharacteristic
54C4×C4⋊C4×C61—21no—
55C4×C4⋊C4×C61—21no—
56C4×C4⋊C4×C61—21no—
57C4×C4⋊C4×C61C2211yescharacteristic
58C4×C4⋊C4×C61C2211yescharacteristic
59C4×C4⋊C4×C61C2211yescharacteristic
60C61×#376—21no—
61C61×#376C2211yescharacteristic
62C22×D244—21no—
63C22×D244—21no—
64C22×D244C2311yescharacteristic
65C22×D244C2311yescharacteristic
66C22×C4×D61—21no—
67C22×C4×D61—21no—
68C2×#11758201—22no—
69C2×#11758201—22no—
70C2×#11758201—22no—
71C2×#11758201—22no—
72C2×#11758201C2×C414yescomplemented
73C2×#11758201C2×C414yescomplemented
74C22×#92418C2311yescharacteristic
75C22×#92418C2311yescharacteristic
76C22×#92418C2311yescharacteristic
77C22×#92418C2311yescharacteristic
78#14519774—22no—
79#14519774C2×C414yes—
80C4×D244—22no—
81C4×D244—22no—
82C4×D244—22no—
83C4×D244—22no—
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C4⋊Dic61C2311yescharacteristic
86C2×#11758198—21no—
87C2×#11758198—21no—
88C2×#11758198—21no—
89C2×#11758198—21no—
90C2×#11758198—21no—
91C2×#11758198—21no—
92#14519710—22no—
93#14519708—22no—
94C4⋊#92418—22no—
95C4⋊#92418C2×C414yescomplemented
96#14519701—22no—
97#14519701—22no—
98#14519697—22no—
99#14519697—22no—
100#14519697—22no—
101#14519697—22no—
102#14519697C2×C414yescomplemented
103#14519697C2×C414yescomplemented
104#14519688—22no—
105C4×#92418—22no—
106#14519684—21no—
107#14519684—21no—
108C22×Q8×C61C2311yescharacteristic
109C4×Q8×C61—22no—
110C4×Q8×C61—22no—
111C4×Q8×C61—22no—
112C4×Q8×C61—22no—
113C4×Q8×C61C2×C414yescomplemented
114C4×Q8×C61D414yescomplemented
115C2×C4⋊C4×C61—21no—
116C2×C4⋊C4×C61—21no—
117C2×C4⋊C4×C61—21no—
118C2×C4⋊C4×C61C2311yescharacteristic
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C42×C61—21no—
122C2×C42×C61—21no—
123C2×C42×C61—21no—
124C2×C42×C61—21no—
125C2×C42×C61—21no—
126C2×C42×C61—21no—
127C2×C42×C61C2311yescharacteristic
128C2×C42×C61C2311yescharacteristic
129C2×C42×C61C2311yescharacteristic
130#95×C61—21no—
131#95×C61—21no—
132#95×C61—21no—
133#95×C61D411yescharacteristic
134#95×C61D411yescharacteristic
135#95×C61D411yescharacteristic
136#95×C61D411yescharacteristic
137C23×D61—21no—
138C23×D61—21no—
139C2×Q8×C61—21no—
140C2×Q8×C61—21no—
141C2×Q8×C61—21no—
142C2×Q8×C61C22×C412yes—
143C2×Q8×C61C2×D412yes—
144C2×Q8×C61#4112yes—
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×C61C2×D411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2411yescharacteristic
156C22×Dic61—21no—
157C22×Dic61—21no—
158C2×D244—21no—
159C2×D244—21no—
160C2×D244—21no—
161C2×D244—21no—
162C2×D244—21no—
163C2×D244—21no—
164C2×D244—21no—
165C2×D244—21no—
166C2×D244—21no—
167C2×D244—21no—
168C2×D244—24no—
169C2×D244—24no—
170C2×D244—81no—
171C2×D244—81no—
172C2×D244—81no—
173C2×D244—81no—
174C2×D244C22×C412yes—
175C2×D244C22×C412yes—
176C2×C4×D61—42no—
177C2×C4×D61—42no—
178C2×C4×D61—81no—
179C2×C4×D61—81no—
180C2×C4×D61—81no—
181C2×C4×D61—81no—
182C4⋊C4×C61—24no—
183C4⋊C4×C61—24no—
184C4⋊C4×C61—24no—
185C4⋊C4×C61—21no—
186C4⋊C4×C61—21no—
187C4⋊C4×C61—21no—
188C4⋊C4×C61C22×C412yes—
189C4⋊C4×C61C2×D412yes—
190C4⋊C4×C61#4112yes—
191C42×C61—24no—
192C42×C61—24no—
193C42×C61—24no—
194C42×C61—21no—
195C42×C61—21no—
196C42×C61—81no—
197C42×C61—81no—
198C42×C61—81no—
199C42×C61C22×C412yes—
200C42×C61C2×D412yes—
201C42×C61#4112yes—
202C42×C61#4112yes—
203#11758201—28no—
204#11758201—28no—
205#11758198—42no—
206#11758198—42no—
207#11758198—81no—
208#11758198—81no—
209#11758198—81no—
210#11758198—81no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C2×#92418—21no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418C22×C412yes—
226C2×#92418C22×C412yes—
227C23×C61C22×D411yescharacteristic
228C22×D61—22no—
229C22×D61—22no—
230C22×D61—41no—
231C22×D61—41no—
232C22×D61—41no—
233C22×D61—41no—
234C22×D61—41no—
235C22×D61—41no—
236C22×D61—41no—
237C22×D61—41no—
238C22×D61—41no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242Q8×C61—22no—
243Q8×C61—22no—
244Q8×C61—22no—
245Q8×C61C4×D414yes—
246C2×C4×C61—22no—
247C2×C4×C61—22no—
248C2×C4×C61—22no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—22no—
258C2×C4×C61—22no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—22no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61C4×D412yes—
273C2×C4×C61C4×D412yes—
274C2×C4×C61#12112yes—
275C2×C4×C61#12112yes—
276C2×C4×C61C23×C411yescharacteristic
277C2×C4×C61C22×D411yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C2×C4×C61C2×#4111yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288D244—22no—
289D244—22no—
290D244—22no—
291D244—22no—
292D244—41no—
293D244—41no—
294D244—41no—
295D244—41no—
296D244—84no—
297D244—84no—
298C4×D61—84no—
299C4×D61—84no—
300#92418—22no—
301#92418—22no—
302#92418—41no—
303#92418—41no—
304#21515—611nomaximal, Sylow
305C22×C61C2×C4×D411yescharacteristic
306C22×C61C2×#12111yescharacteristic
307C22×C61#52511yescharacteristic
308C22×C61#57611yescharacteristic
309C22×C61#57711yescharacteristic
310C22×C61#57711yescharacteristic
311C22×C61#57711yescharacteristic
312C2×D61—42no—
313C2×D61—42no—
314C2×D61—42no—
315C2×D61—42no—
316C2×D61—42no—
317C2×D61—42no—
318C2×D61—81no—
319C2×D61—81no—
320C2×D61—81no—
321C2×D61—81no—
322C2×D61—81no—
323C2×D61—81no—
324C2×D61—81no—
325C2×D61—81no—
326C4×C61—22no—
327C4×C61—22no—
328C4×C61—22no—
329C4×C61—22no—
330C4×C61—24no—
331C4×C61—41no—
332C4×C61—42no—
333C4×C61—41no—
334C4×C61—42no—
335C4×C61—42no—
336C4×C61C2×C4×D411yescharacteristic
337C4×C61C4×#4111yescharacteristic
338C4×C61#52911yescharacteristic
339C4×C61#53211yescharacteristic
340Dic61—81no—
341Dic61—81no—
342C2×#460—611no—
343C2×#440—611no—
344C2×C4×SD16—611no—
345#2328—611no—
346#2276D6111yescharacteristic, complemented
347#1982—611no—
348#1949—611no—
349#1926—611no—
350#1925—611no—
351#1880—611no—
352#1880—611no—
353#1805—611no—
354#1768—611no—
355#1762—611no—
356C4×#102—611no—
357C2×C61C4×#12111yescharacteristic
358C2×C61#294611yescharacteristic
359C2×C61#294911yescharacteristic
360C2×C61#304311yescharacteristic
361C2×C61#304511yescharacteristic
362C2×C61#311911yescharacteristic
363C2×C61#312611yescharacteristic
364D61—82no—
365D61—82no—
366C22×SD16—611no—
367C22×SD16—611no—
368C2×#127—611no—
369C2×C4×Q8C2×D6111yescharacteristic
370C2×C4×Q8C2×D6111yescharacteristic
371C2×C4×Q8C2×D6111yescharacteristic
372C2×C4×D4—611no—
373C2×C4×D4—611no—
374#460—618no—
375#440—1224no—
376C4×SD16—1224no—
377C2×#107—611no—
378C2×#106—611no—
379C2×C4⋊C8—611no—
380C2×C4⋊C8—611no—
381C2×#103—611no—
382C2×#103—611no—
383C2×#102—611no—
384C2×#102—611no—
385C2×#102—611no—
386C2×#102—611no—
387C2×#102—611no—
388C2×#102—611no—
389C2×#97—611no—
390C2×C4×C8—611no—
391#390—611no—
392#390—611no—
393#386—1221no—
394#386—1221no—
395#386—1221no—
396#386—1221no—
397#382—611no—
398C4×C4⋊C4—21no—
399C4×C4⋊C4—21no—
400C4×C4⋊C4—21no—
401C4×C4⋊C4C2×D6111yescharacteristic
402C4×C4⋊C4C2×D6111yescharacteristic
403C4×C4⋊C4C2×D6111yescharacteristic
404#376—21no—
405#376C2×D6111yescharacteristic
406#340—611no—
407#340—611no—
408#340—611no—
409#340—611no—
410#336—611no—
411#336—611no—
412C61#2151511yescharacteristic, complemented, Sylow
413C22×Q8C22×D6111yescharacteristic
414C22×D4—611no—
415C22×D4—611no—
416C22×D4—1221no—
417C22×D4—1221no—
418C23×C4—1221no—
419C23×C4—1221no—
420C2×SD16—614no—
421C2×SD16—614no—
422C2×SD16—1222no—
423C2×SD16—1222no—
424C2×SD16—1222no—
425C2×SD16—1222no—
426C22×C8—611no—
427C22×C8—611no—
428C22×C8—611no—
429C22×C8—611no—
430#127—614no—
431#127—1222no—
432C4×Q8—22no—
433C4×Q8—22no—
434C4×Q8—22no—
435C4×Q8—22no—
436C4×Q8C4×D6114yescomplemented
437C4×Q8D24414yescomplemented
438C4×D4—1222no—
439C4×D4—1222no—
440C4×D4—1222no—
441C4×D4—1222no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4C22×D6111yescharacteristic
448C2×C4⋊C4C22×D6111yescharacteristic
449C2×C4⋊C4C22×D6111yescharacteristic
450C2×C22⋊C4—1221no—
451C2×C22⋊C4—1221no—
452C2×C22⋊C4—1221no—
453C2×C22⋊C4—1221no—
454C2×C22⋊C4—1221no—
455C2×C22⋊C4—1221no—
456C2×C42—21no—
457C2×C42—21no—
458C2×C42—21no—
459C2×C42—21no—
460C2×C42—21no—
461C2×C42—21no—
462C2×C42C22×D6111yescharacteristic
463C2×C42C22×D6111yescharacteristic
464C2×C42C22×D6111yescharacteristic
465#107—1222no—
466#106—1222no—
467C4⋊C8—614no—
468C4⋊C8—1222no—
469#103—1222no—
470#103—1222no—
471#102—614no—
472#102—614no—
473#102—1222no—
474#102—1222no—
475#102—1222no—
476#102—1222no—
477#97—1222no—
478C4×C8—1222no—
479#95—21no—
480#95—21no—
481#95—21no—
482#95—1221no—
483#95—1221no—
484#95C22⋊D6111yescharacteristic
485#95C22⋊D6111yescharacteristic
486#95C22⋊D6111yescharacteristic
487#95C22⋊D6111yescharacteristic
488C24—1221no—
489C24—1221no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8C2×C4×D6112yes—
494C2×Q8C2×D24412yes—
495C2×Q8#1175822212yes—
496C2×D4—612no—
497C2×D4—612no—
498C2×D4—1221no—
499C2×D4—1221no—
500C2×D4—1221no—
501C2×D4—1221no—
502C2×D4—1221no—
503C2×D4—1221no—
504C2×D4—1221no—
505C2×D4—1221no—
506C2×D4—1221no—
507C2×D4—1221no—
508C2×D4—1224no—
509C2×D4—1224no—
510C2×D4—4881no—
511C2×D4—4881no—
512C2×D4—4881no—
513C2×D4—4881no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—1221no—
519C22×C4—1221no—
520C22×C4—4881no—
521C22×C4—4881no—
522C22×C4—4881no—
523C22×C4—4881no—
524C22×C4—2442no—
525C22×C4—2442no—
526C22×C4C2×C22⋊D6111yescharacteristic
527C22×C4C2×C22⋊D6111yescharacteristic
528C22×C4C2×C22⋊D6111yescharacteristic
529C22×C4C2×C22⋊D6111yescharacteristic
530C22×C4C2×C22⋊D6111yescharacteristic
531C22×C4C2×C22⋊D6111yescharacteristic
532C22×C4C23×D6111yescharacteristic
533SD16—1228no—
534SD16—1228no—
535C2×C8—612no—
536C2×C8—612no—
537C2×C8—1221no—
538C2×C8—1221no—
539C2×C8—1221no—
540C2×C8—1221no—
541C2×C8—1221no—
542C2×C8—1221no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—1221no—
546C2×C8—1221no—
547C4⋊C4—24no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—1221no—
554C4⋊C4—1221no—
555C4⋊C4—1221no—
556C4⋊C4—1221no—
557C4⋊C4C2×C4×D6112yes—
558C4⋊C4C2×D24412yes—
559C4⋊C4#1175822212yes—
560C22⋊C4—4881no—
561C22⋊C4—4881no—
562C22⋊C4—4881no—
563C22⋊C4—4881no—
564C22⋊C4—2442no—
565C22⋊C4—2442no—
566C42—24no—
567C42—21no—
568C42—21no—
569C42—24no—
570C42—24no—
571C42—81no—
572C42—81no—
573C42—81no—
574C42C2×C4×D6112yes—
575C42C2×D24412yes—
576C42#1175822212yes—
577C42#1175822212yes—
578C23—1222no—
579C23—1222no—
580C23—2441no—
581C23—2441no—
582C23—2441no—
583C23—2441no—
584C23—2441no—
585C23—2441no—
586C23—2441no—
587C23—2441no—
588C23—2441no—
589C23—2441no—
590C23—2441no—
591C23—2441no—
592C23C22×C22⋊D6111yescharacteristic
593Q8—22no—
594Q8—22no—
595Q8—22no—
596Q8C4×D24414yes—
597D4—1222no—
598D4—1222no—
599D4—1222no—
600D4—1222no—
601D4—4884no—
602D4—4884no—
603D4—2441no—
604D4—2441no—
605D4—2441no—
606D4—2441no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—4884no—
634C2×C4—4884no—
635C2×C4—2441no—
636C2×C4—2441no—
637C2×C4—2441no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4C4×C22⋊D6112yes—
642C2×C4C4×C22⋊D6112yes—
643C2×C4#1451975112yes—
644C2×C4#1451975112yes—
645C2×C4C22×C4×D6111yescharacteristic
646C2×C4C22×D24411yescharacteristic
647C2×C4C2×#1175822211yescharacteristic
648C2×C4C2×#1175822211yescharacteristic
649C2×C4C2×#1175822211yescharacteristic
650C2×C4C2×#1175822211yescharacteristic
651C8—1222no—
652C8—1222no—
653C8—2441no—
654C8—2441no—
655C22—4881no—
656C22—4881no—
657C22—4881no—
658C22—4881no—
659C22—4881no—
660C22—4881no—
661C22—4881no—
662C22—4881no—
663C22—2442no—
664C22—2442no—
665C22—2442no—
666C22—2442no—
667C22—2442no—
668C22—2442no—
669C22C2×C4×C22⋊D6111yescharacteristic
670C22C2×#1451975111yescharacteristic
671C22#1684027311yescharacteristic
672C22#1684056511yescharacteristic
673C22#1684057011yescharacteristic
674C22#1684057011yescharacteristic
675C22#1684057011yescharacteristic
676C4—22no—
677C4—22no—
678C4—24no—
679C4—22no—
680C4—22no—
681C4—42no—
682C4—41no—
683C4—42no—
684C4—41no—
685C4—42no—
686C4—4881no—
687C4—4881no—
688C4C2×C4×D24411yescharacteristic
689C4C4×#1175822211yescharacteristic
690C4#1684029611yescharacteristic
691C4#1684031211yescharacteristic
692C2—4882no—
693C2—4882no—
694C2C4×#1451975111yescharacteristic
695C2#2145464711yescharacteristic
696C2#2145467811yescharacteristic
697C2#2145534011yescharacteristic
698C2#2145535811yescharacteristic
699C2#2145601811yescharacteristic
700C2#2145611011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2276C2
socleC23×C61C22×D4
prime radicalC2×#14519774C22
cosocleC22×C4×C61C24
hypercenter#2276D61
hypocenterC61#21515
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ #376 ◁ #2276

Complements

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

NH ≅ G/Ntype
2. C2×#16839860C2semidirect
3. C2×C4×#11758201C2semidirect
6. #21446587C2semidirect
7. #21446446C2semidirect
8. #21446439C2semidirect
9. #21446174C2semidirect
10. #21446174C2semidirect
11. #21445834C2semidirect
12. #21445676C2semidirect
13. #21445647C2semidirect
14. C4×#14519697C2semidirect
15. C61×#2276C2semidirect
21. #16839962C4semidirect
72. C2×#11758201C2×C4semidirect
73. C2×#11758201C2×C4semidirect
95. C4⋊#92418C2×C4semidirect
102. #14519697C2×C4semidirect
103. #14519697C2×C4semidirect
113. C4×Q8×C61C2×C4semidirect
114. C4×Q8×C61D4semidirect
346. #2276D61semidirect
412. C61#21515semidirect
436. C4×Q8C4×D61semidirect
437. C4×Q8D244semidirect

Maximal subgroups

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

subgroupindex
C2×#168399622
C2×#168398602
C2×C4×#117582012
#214485442
#214467462
#214465872
#214464462
#214464392
#214461742
#214458342
#214456762
#214456472
C4×#145196972
C61×#22762
#2151561