Finite Group Databasebeta

← #29686352

Subgroups — #29686352

Order 15616.

1056 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×#16839977C211yesmaximal, characteristic
2C2×#16839872C211yesmaximal, characteristic
3C2×C4×#11758200C211yesmaximal, characteristic, complemented
4#21448530C211yesmaximal, characteristic, complemented
5#21446751C211yesmaximal, characteristic, complemented
6#21446582C211yesmaximal, characteristic, complemented
7#21446453C211yesmaximal, characteristic, complemented
8#21446446C211yesmaximal, characteristic, complemented
9#21446167C211yesmaximal, characteristic
10#21446153C211yesmaximal, characteristic, complemented
11#21445819C211yesmaximal, characteristic, complemented
12#21445676C211yesmaximal, characteristic, complemented
13#21445652C211yesmaximal, characteristic, complemented
14C4×#14519697C211yesmaximal, characteristic, complemented
15C61×#2275C211yesmaximal, characteristic, complemented
16C22×#11758200C2211yescharacteristic
17C22×#11758199C2211yescharacteristic
18C2×#14519765C2211yescharacteristic
19C2×C4×Dic122C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21#16839977C418yescomplemented
22#16839872—24no—
23C4×#11758200—24no—
24C2×#14519708C2211yescharacteristic
25C2×#14519708C2211yescharacteristic
26C2×C4⋊#92418C2211yescharacteristic
27C2×C4⋊#92418C2211yescharacteristic
28C2×#14519700C2211yescharacteristic
29C2×#14519700C2211yescharacteristic
30C2×#14519700C2211yescharacteristic
31C2×#14519698C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35C2×#14519697C2211yescharacteristic
36C2×#14519688C2211yescharacteristic
37C2×C4×#92418C2211yescharacteristic
38#16839668C2211yescharacteristic
39#16839664C2211yescharacteristic
40#16839654—21no—
41#16839654—21no—
42#16839636—21no—
43#16839636—21no—
44#16839632C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839517C2211yescharacteristic
50#16839517C2211yescharacteristic
51C2×C4×D4×C61C2211yescharacteristic
52C2×C4×D4×C61C2211yescharacteristic
53C2×C4×D4×C61C2211yescharacteristic
54C4×C4⋊C4×C61C2211yescharacteristic
55C4×C4⋊C4×C61C2211yescharacteristic
56C4×C4⋊C4×C61C2211yescharacteristic
57C4×C22⋊C4×C61—21no—
58C4×C22⋊C4×C61—21no—
59C4×C22⋊C4×C61—21no—
60C61×#376C2211yescharacteristic
61C2×#95×C61—21no—
62C22×Dic122C2311yescharacteristic
63C22×D244C2311yescharacteristic
64C22×C4×D61—21no—
65C2×#11758200—22no—
66C2×#11758200—22no—
67C2×#11758200C2×C414yescomplemented
68C2×#11758199—22no—
69C2×#11758199—22no—
70C2×#11758199C2×C414yes—
71C22×#92418C2311yescharacteristic
72C22×#92418C2311yescharacteristic
73C22×#92418C2311yescharacteristic
74C22×#92418C2311yescharacteristic
75#14519765—22no—
76#14519765C2×C414yescomplemented
77C4×Dic122—22no—
78C4×Dic122—22no—
79C4×D244—22no—
80C4×D244—22no—
81C2×C4⋊Dic61—21no—
82C2×C4⋊Dic61—21no—
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×#11758196—21no—
86C2×#11758198—21no—
87C2×#11758198—21no—
88C2×#11758198—21no—
89C2×#11758198—21no—
90C2×#11758198—21no—
91C2×C4×Dic61—21no—
92#14519708—22no—
93#14519708—22no—
94C4⋊#92418—22no—
95C4⋊#92418C2×C414yescomplemented
96#14519700—22no—
97#14519700—22no—
98#14519700C2×C414yescomplemented
99#14519698—22no—
100#14519698—22no—
101#14519697—22no—
102#14519697—22no—
103#14519697C2×C414yescomplemented
104#14519688—22no—
105C4×#92418—22no—
106#14519684—21no—
107#14519684—21no—
108C22×D4×C61C2311yescharacteristic
109C23×C4×C61—21no—
110C23×C4×C61—21no—
111C23×C4×C61—21no—
112C4×D4×C61—22no—
113C4×D4×C61—22no—
114C4×D4×C61—22no—
115C4×D4×C61—22no—
116C4×D4×C61C2×C414yescomplemented
117C4×D4×C61D414yes—
118C2×C4⋊C4×C61C2311yescharacteristic
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C22⋊C4×C61—21no—
122C2×C22⋊C4×C61—21no—
123C2×C22⋊C4×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
137C24×C61—21no—
138C23×D61—21no—
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61C22×C412yes—
143C2×D4×C61C2×D412yes—
144C2×D4×C61#4112yes—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—24no—
149C22×C4×C61—24no—
150C22×C4×C61—24no—
151C22×C4×C61—81no—
152C22×C4×C61—81no—
153C22×C4×C61—81no—
154C22×C4×C61—81no—
155C22×C4×C61—81no—
156C22×C4×C61—81no—
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2411yescharacteristic
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C2×D244—21no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244C22×C412yes—
173C2×C4×D61—42no—
174C2×C4×D61—81no—
175C2×C4×D61—81no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122C22×C412yes—
182C4⋊C4×C61—21no—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—21no—
185C4⋊C4×C61C22×C412yes—
186C4⋊C4×C61C2×D412yes—
187C4⋊C4×C61#4112yes—
188C22⋊C4×C61—24no—
189C22⋊C4×C61—24no—
190C22⋊C4×C61—24no—
191C42×C61—21no—
192C42×C61—21no—
193C42×C61—81no—
194C42×C61—81no—
195C42×C61—81no—
196C42×C61C22×C412yes—
197C42×C61C2×D412yes—
198C42×C61#4112yes—
199C42×C61#4112yes—
200#11758200—28no—
201#11758199—28no—
202#11758198—24no—
203#11758198—24no—
204#11758198—42no—
205#11758198—81no—
206#11758198—81no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—81no—
212C4⋊Dic61—81no—
213#11758196—42no—
214C4×Dic61—42no—
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×C61—22no—
228C23×C61—22no—
229C23×C61—22no—
230C23×C61—41no—
231C23×C61—41no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61C22×D411yescharacteristic
235C22×D61—22no—
236C22×D61—41no—
237C22×D61—41no—
238C22×D61—41no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242D4×C61—22no—
243D4×C61—22no—
244D4×C61—22no—
245D4×C61C4×D414yes—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—22no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
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×C61—84no—
270C2×C4×C61—84no—
271C2×C4×C61—84no—
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—22no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291D244—22no—
292D244—22no—
293D244—41no—
294D244—41no—
295C4×D61—84no—
296Dic122—22no—
297Dic122—22no—
298Dic122—41no—
299Dic122—41no—
300#92418—22no—
301#92418—22no—
302#92418—41no—
303#92418—41no—
304#21510—611nomaximal, Sylow
305C22×C61—24no—
306C22×C61—42no—
307C22×C61—42no—
308C22×C61—42no—
309C22×C61—42no—
310C22×C61—42no—
311C22×C61—42no—
312C22×C61C2×C4×D411yescharacteristic
313C22×C61C2×#12111yescharacteristic
314C22×C61#52511yescharacteristic
315C22×C61#57611yescharacteristic
316C22×C61#57711yescharacteristic
317C22×C61#57711yescharacteristic
318C22×C61#57711yescharacteristic
319C2×D61—42no—
320C2×D61—42no—
321C2×D61—42no—
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—41no—
331C4×C61—42no—
332C4×C61—41no—
333C4×C61—42no—
334C4×C61—42no—
335C4×C61C2×C4×D411yescharacteristic
336C4×C61C4×#4111yescharacteristic
337C4×C61#52911yescharacteristic
338C4×C61#53211yescharacteristic
339Dic61—42no—
340Dic61—81no—
341Dic61—81no—
342C2×#463—611no—
343C2×#442—611no—
344C2×C4×SD16—611no—
345#2326—611no—
346#2275D6111yescharacteristic, complemented
347#1983—611no—
348#1948—611no—
349#1927—611no—
350#1926—611no—
351#1879—611no—
352#1877—611no—
353#1802—611no—
354#1768—611no—
355#1763—611no—
356C4×#102—611no—
357C2×C61—44no—
358C2×C61C4×#12111yescharacteristic
359C2×C61#294611yescharacteristic
360C2×C61#295211yescharacteristic
361C2×C61#304211yescharacteristic
362C2×C61#304511yescharacteristic
363C2×C61#311811yescharacteristic
364C2×C61#312511yescharacteristic
365D61—82no—
366C22×SD16—611no—
367C22×D8—611no—
368C2×#124—611no—
369C2×C4×Q8—611no—
370C2×C4×D4—611no—
371C2×C4×D4C2×D6111yescharacteristic
372C2×C4×D4C2×D6111yescharacteristic
373C2×C4×D4C2×D6111yescharacteristic
374#463—618no—
375#442—1224no—
376C4×SD16—1224no—
377C2×#106—611no—
378C2×#106—611no—
379C2×C4⋊C8—611no—
380C2×C4⋊C8—611no—
381C2×#103—611no—
382C2×#103—611no—
383C2×#103—611no—
384C2×#102—611no—
385C2×#102—611no—
386C2×#102—611no—
387C2×#102—611no—
388C2×#102—611no—
389C2×#97—611no—
390C2×C4×C8—611no—
391#391—611no—
392#390—611no—
393#388—1221no—
394#388—1221no—
395#385—1221no—
396#385—1221no—
397#384—611no—
398C4×C4⋊C4C2×D6111yescharacteristic
399C4×C4⋊C4C2×D6111yescharacteristic
400C4×C4⋊C4C2×D6111yescharacteristic
401C4×C22⋊C4—21no—
402C4×C22⋊C4—21no—
403C4×C22⋊C4—21no—
404#376C2×D6111yescharacteristic
405C2×#95—21no—
406#340—611no—
407#340—611no—
408#340—611no—
409#340—611no—
410#336—611no—
411#336—611no—
412C61#2151011yescharacteristic, complemented, Sylow
413C22×Q8—611no—
414C22×D4—611no—
415C22×D4C22×D6111yescharacteristic
416C23×C4—21no—
417C23×C4—21no—
418C23×C4—21no—
419C23×C4—1221no—
420C2×SD16—614no—
421C2×SD16—1222no—
422C2×SD16—1222no—
423C2×D8—614no—
424C2×D8—1222no—
425C2×D8—1222no—
426C22×C8—611no—
427C22×C8—611no—
428C22×C8—611no—
429C22×C8—611no—
430#124—614no—
431#124—1222no—
432C4×Q8—1222no—
433C4×Q8—1222no—
434C4×D4—22no—
435C4×D4—22no—
436C4×D4—22no—
437C4×D4—22no—
438C4×D4—1222no—
439C4×D4—1222no—
440C4×D4C4×D6114yescomplemented
441C4×D4D24414yes—
442C2×C4⋊C4—611no—
443C2×C4⋊C4—611no—
444C2×C4⋊C4—1221no—
445C2×C4⋊C4—1221no—
446C2×C4⋊C4—1221no—
447C2×C4⋊C4C22×D6111yescharacteristic
448C2×C4⋊C4C22×D6111yescharacteristic
449C2×C4⋊C4C22×D6111yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—1221no—
454C2×C22⋊C4—1221no—
455C2×C22⋊C4—1221no—
456C2×C22⋊C4—1221no—
457C2×C22⋊C4—1221no—
458C2×C42—21no—
459C2×C42—21no—
460C2×C42—21no—
461C2×C42—1221no—
462C2×C42C22×D6111yescharacteristic
463C2×C42C22×D6111yescharacteristic
464C2×C42C22×D6111yescharacteristic
465#106—1222no—
466#106—1222no—
467C4⋊C8—614no—
468C4⋊C8—1222no—
469#103—614no—
470#103—1222no—
471#103—1222no—
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—21no—
489C24—1221no—
490C2×Q8—612no—
491C2×Q8—1221no—
492C2×Q8—1221no—
493C2×Q8—1221no—
494C2×Q8—1221no—
495C2×Q8—1221no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—612no—
500C2×D4—1221no—
501C2×D4—1221no—
502C2×D4—1221no—
503C2×D4—1221no—
504C2×D4—1221no—
505C2×D4C2×C4×D6112yes—
506C2×D4C2×D24412yes—
507C2×D4#1175822212yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—81no—
515C22×C4—81no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—1221no—
521C22×C4—1221no—
522C22×C4—1221no—
523C22×C4—4881no—
524C22×C4—4881no—
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—
534D8—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—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—1221no—
551C4⋊C4—1221no—
552C4⋊C4—1221no—
553C4⋊C4—1221no—
554C4⋊C4—4881no—
555C4⋊C4—4881no—
556C4⋊C4—2442no—
557C4⋊C4C2×C4×D6112yes—
558C4⋊C4C2×D24412yes—
559C4⋊C4#1175822212yes—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—24no—
563C22⋊C4—1224no—
564C22⋊C4—1224no—
565C22⋊C4—4881no—
566C22⋊C4—4881no—
567C22⋊C4—2442no—
568C42—21no—
569C42—21no—
570C42—81no—
571C42—81no—
572C42—81no—
573C42—2442no—
574C42C2×C4×D6112yes—
575C42C2×D24412yes—
576C42#1175822212yes—
577C42#1175822212yes—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—1222no—
586C23—2441no—
587C23—2441no—
588C23—2441no—
589C23—2441no—
590C23—2441no—
591C23—2441no—
592C23C22×C22⋊D6111yescharacteristic
593Q8—1222no—
594Q8—1222no—
595Q8—2441no—
596Q8—2441no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—1222no—
601D4—1222no—
602D4—2441no—
603D4—2441no—
604D4C4×D24414yes—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—84no—
629C2×C4—84no—
630C2×C4—84no—
631C2×C4—1222no—
632C2×C4—4884no—
633C2×C4—2441no—
634C2×C4—2441no—
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—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—4881no—
663C22—4881no—
664C22—4881no—
665C22—4881no—
666C22—2442no—
667C22—2442no—
668C22—2442no—
669C22C2×C4×C22⋊D6111yescharacteristic
670C22C2×#1451975111yescharacteristic
671C22#1684027311yescharacteristic
672C22#1684056511yescharacteristic
673C22#1684057011yescharacteristic
674C22#1684057311yescharacteristic
675C22#1684057311yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—42no—
681C4—41no—
682C4—42no—
683C4—41no—
684C4—42no—
685C4—4881no—
686C4—4881no—
687C4—2442no—
688C4C2×C4×D24411yescharacteristic
689C4C4×#1175822211yescharacteristic
690C4#1684029611yescharacteristic
691C4#1684031211yescharacteristic
692C2—44no—
693C2—4882no—
694C2C4×#1451975111yescharacteristic
695C2#2145465111yescharacteristic
696C2#2145470011yescharacteristic
697C2#2145533111yescharacteristic
698C2#2145535811yescharacteristic
699C2#2145600311yescharacteristic
700C2#2145609611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2275C2
socleC23×C61C22×D4
prime radicalC22×#11758199C22
cosocleC22×C4×C61C24
hypercenter#2275D61
hypocenterC61#21510
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ #376 ◁ #2275

Complements

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

NH ≅ G/Ntype
3. C2×C4×#11758200C2semidirect
4. #21448530C2semidirect
5. #21446751C2semidirect
6. #21446582C2semidirect
7. #21446453C2semidirect
8. #21446446C2semidirect
10. #21446153C2semidirect
11. #21445819C2semidirect
12. #21445676C2semidirect
13. #21445652C2semidirect
14. C4×#14519697C2semidirect
15. C61×#2275C2semidirect
21. #16839977C4semidirect
67. C2×#11758200C2×C4semidirect
76. #14519765C2×C4semidirect
95. C4⋊#92418C2×C4semidirect
98. #14519700C2×C4semidirect
103. #14519697C2×C4semidirect
116. C4×D4×C61C2×C4semidirect
346. #2275D61semidirect
412. C61#21510semidirect
440. C4×D4C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399772
C2×#168398722
C2×C4×#117582002
#214485302
#214467512
#214465822
#214464532
#214464462
#214461672
#214461532
#214458192
#214456762
#214456522
C4×#145196972
C61×#22752
#2151061