Finite Group Databasebeta

← #29686421

Subgroups — #29686421

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×#16839959C211yesmaximal, characteristic
2C2×#16839862C211yesmaximal, characteristic, complemented
3C2×C4×#11758200C211yesmaximal, characteristic, complemented
4#21448182C211yesmaximal, characteristic, complemented
5#21446747C211yesmaximal, characteristic
6#21446585C211yesmaximal, characteristic, complemented
7#21446443C211yesmaximal, characteristic, complemented
8#21446436C211yesmaximal, characteristic, complemented
9#21446177C211yesmaximal, characteristic, complemented
10#21446177C211yesmaximal, characteristic, complemented
11#21445831C211yesmaximal, characteristic, complemented
12#21445676C211yesmaximal, characteristic, complemented
13#21445644C211yesmaximal, characteristic, complemented
14C4×#14519698C211yesmaximal, characteristic, complemented
15C61×#2328C211yesmaximal, characteristic
16C22×#11758200C2211yescharacteristic
17C22×#11758200C2211yescharacteristic
18C2×C4×Dic122C2211yescharacteristic
19C2×C4×Dic122C2211yescharacteristic
20C2×C4×Dic122C2211yescharacteristic
21#16839959C418yescomplemented
22#16839862—24no—
23C4×#11758200—24no—
24C2×#14519710C2211yescharacteristic
25C2×#14519708C2211yescharacteristic
26C2×C4⋊#92418C2211yescharacteristic
27C2×C4⋊#92418C2211yescharacteristic
28C2×#14519700C2211yescharacteristic
29C2×#14519700C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×#14519698C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×#14519698C2211yescharacteristic
34C2×#14519698C2211yescharacteristic
35C2×#14519698C2211yescharacteristic
36C2×#14519688C2211yescharacteristic
37C2×C4×#92418C2211yescharacteristic
38C4×C4⋊Dic61C2211yescharacteristic
39C4×C4⋊Dic61C2211yescharacteristic
40C4×C4⋊Dic61C2211yescharacteristic
41#16839613—21no—
42#16839613—21no—
43#16839613—21no—
44#16839607—21no—
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839517C2211yescharacteristic
50#16839517C2211yescharacteristic
51C2×#127×C61C2211yescharacteristic
52C2×C4×D4×C61C2211yescharacteristic
53C2×C4×D4×C61C2211yescharacteristic
54C61×#390C2211yescharacteristic
55C61×#390C2211yescharacteristic
56C61×#386—21no—
57C61×#386—21no—
58C61×#386—21no—
59C61×#386—21no—
60C61×#382C2211yescharacteristic
61C61×#376C2211yescharacteristic
62C22×Dic122C2311yescharacteristic
63C2×#11758200—22no—
64C2×#11758200—22no—
65C2×#11758200—22no—
66C2×#11758200—22no—
67C2×#11758200C2×C414yescomplemented
68C2×#11758200C2×C414yescomplemented
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71C22×#92418C2311yescharacteristic
72C22×#92418C2311yescharacteristic
73C4×Dic122—22no—
74C4×Dic122—22no—
75C4×Dic122—22no—
76C4×Dic122—22no—
77C4×Dic122C2×C414yescomplemented
78C4×Dic122D414yescomplemented
79C2×C4⋊Dic61C2311yescharacteristic
80C2×C4⋊Dic61C2311yescharacteristic
81C2×C4⋊Dic61C2311yescharacteristic
82C2×#11758196—21no—
83C2×#11758196—21no—
84C2×#11758196—21no—
85C2×C4×Dic61—21no—
86C2×C4×Dic61—21no—
87C2×C4×Dic61—21no—
88C2×C4×Dic61—21no—
89C2×C4×Dic61—21no—
90C2×C4×Dic61—21no—
91#14519710—22no—
92#14519708—22no—
93C4⋊#92418—22no—
94C4⋊#92418C2×C414yescomplemented
95#14519700—22no—
96#14519700—22no—
97#14519698—22no—
98#14519698—22no—
99#14519698—22no—
100#14519698—22no—
101#14519698C2×C414yescomplemented
102#14519698C2×C414yescomplemented
103#14519688—22no—
104C4×#92418—22no—
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108C22×D4×C61—21no—
109C22×D4×C61—21no—
110C22×D4×C61C2311yescharacteristic
111C22×D4×C61C2311yescharacteristic
112C23×C4×C61—21no—
113C23×C4×C61—21no—
114#127×C61—22no—
115#127×C61C2×C414yes—
116C4×D4×C61—22no—
117C4×D4×C61—22no—
118C4×D4×C61—22no—
119C4×D4×C61—22no—
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C4⋊C4×C61C2311yescharacteristic
122C2×C22⋊C4×C61—21no—
123C2×C22⋊C4×C61—21no—
124C2×C22⋊C4×C61—21no—
125C2×C22⋊C4×C61—21no—
126C2×C22⋊C4×C61—21no—
127C2×C22⋊C4×C61—21no—
128C2×C42×C61C2311yescharacteristic
129C2×C42×C61C2311yescharacteristic
130C2×C42×C61C2311yescharacteristic
131#95×C61—21no—
132#95×C61—21no—
133#95×C61D411yescharacteristic
134#95×C61D411yescharacteristic
135#95×C61D411yescharacteristic
136#95×C61D411yescharacteristic
137C24×C61—21no—
138C24×C61—21no—
139C2×D4×C61—24no—
140C2×D4×C61—24no—
141C2×D4×C61—21no—
142C2×D4×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×C61—81no—
152C2×D4×C61—81no—
153C2×D4×C61—81no—
154C2×D4×C61—81no—
155C2×D4×C61C22×C412yes—
156C2×D4×C61C22×C412yes—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61—42no—
160C22×C4×C61—42no—
161C22×C4×C61—81no—
162C22×C4×C61—81no—
163C22×C4×C61—81no—
164C22×C4×C61—81no—
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61C2×D411yescharacteristic
168C22×C4×C61C2×D411yescharacteristic
169C22×C4×C61C2×D411yescharacteristic
170C22×C4×C61C2×D411yescharacteristic
171C22×C4×C61C2411yescharacteristic
172C22×Dic61—21no—
173C22×Dic61—21no—
174C22×Dic61—21no—
175C22×Dic61—21no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122C22×C412yes—
180C2×Dic122C2×D412yes—
181C2×Dic122#4112yes—
182C4⋊C4×C61—21no—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—21no—
185C4⋊C4×C61—21no—
186C22⋊C4×C61—42no—
187C22⋊C4×C61—42no—
188C22⋊C4×C61—81no—
189C22⋊C4×C61—81no—
190C22⋊C4×C61—81no—
191C22⋊C4×C61—81no—
192C42×C61—21no—
193C42×C61—21no—
194C42×C61C22×C412yes—
195C42×C61C2×D412yes—
196C42×C61#4112yes—
197C42×C61#4112yes—
198#11758200—28no—
199#11758200—28no—
200C4⋊Dic61—21no—
201C4⋊Dic61—21no—
202C4⋊Dic61—21no—
203C4⋊Dic61C22×C412yes—
204C4⋊Dic61C2×D412yes—
205C4⋊Dic61#4112yes—
206#11758196—24no—
207#11758196—24no—
208#11758196—24no—
209C4×Dic61—24no—
210C4×Dic61—24no—
211C4×Dic61—24no—
212C4×Dic61—81no—
213C4×Dic61—81no—
214C4×Dic61—81no—
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—41no—
230C23×C61—41no—
231C23×C61—41no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61C22×D411yescharacteristic
242D4×C61—22no—
243D4×C61—22no—
244D4×C61—22no—
245D4×C61—22no—
246D4×C61—41no—
247D4×C61—41no—
248D4×C61—41no—
249D4×C61—41no—
250D4×C61—84no—
251D4×C61—84no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
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×C61—84no—
273C2×C4×C61—84no—
274C2×C4×C61C4×D412yes—
275C2×C4×C61C4×D412yes—
276C2×C4×C61#12112yes—
277C2×C4×C61#12112yes—
278C2×C4×C61C23×C411yescharacteristic
279C2×C4×C61C22×D411yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296Dic122—22no—
297Dic122—22no—
298Dic122—22no—
299Dic122C4×D414yes—
300#92418—22no—
301#92418—22no—
302#92418—41no—
303#92418—41no—
304#21515—611nomaximal, Sylow
305C22×C61—42no—
306C22×C61—42no—
307C22×C61—42no—
308C22×C61—42no—
309C22×C61—42no—
310C22×C61—42no—
311C22×C61—81no—
312C22×C61—81no—
313C22×C61—81no—
314C22×C61—81no—
315C22×C61—81no—
316C22×C61—81no—
317C22×C61—81no—
318C22×C61—81no—
319C22×C61C2×C4×D411yescharacteristic
320C22×C61C2×#12111yescharacteristic
321C22×C61#52511yescharacteristic
322C22×C61#57611yescharacteristic
323C22×C61#57711yescharacteristic
324C22×C61#57711yescharacteristic
325C22×C61#57711yescharacteristic
326C4×C61—22no—
327C4×C61—22no—
328C4×C61—22no—
329C4×C61—22no—
330C4×C61—41no—
331C4×C61—41no—
332C4×C61—81no—
333C4×C61—81no—
334C4×C61C2×C4×D411yescharacteristic
335C4×C61C4×#4111yescharacteristic
336C4×C61#52911yescharacteristic
337C4×C61#53211yescharacteristic
338Dic61—24no—
339Dic61—42no—
340Dic61—42no—
341Dic61—42no—
342C2×#460—611no—
343C2×#440—611no—
344C2×C4×SD16—611no—
345#2328D6111yescharacteristic
346#2276—611no—
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×C61—82no—
358C2×C61—82no—
359C2×C61C4×#12111yescharacteristic
360C2×C61#294611yescharacteristic
361C2×C61#294911yescharacteristic
362C2×C61#304311yescharacteristic
363C2×C61#304511yescharacteristic
364C2×C61#311911yescharacteristic
365C2×C61#312611yescharacteristic
366C22×SD16—611no—
367C22×SD16—611no—
368C2×#127C2×D6111yescharacteristic
369C2×C4×Q8—611no—
370C2×C4×Q8—611no—
371C2×C4×Q8—611no—
372C2×C4×D4C2×D6111yescharacteristic
373C2×C4×D4C2×D6111yescharacteristic
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#390C2×D6111yescharacteristic
392#390C2×D6111yescharacteristic
393#386—21no—
394#386—21no—
395#386—21no—
396#386—21no—
397#382C2×D6111yescharacteristic
398C4×C4⋊C4—611no—
399C4×C4⋊C4—611no—
400C4×C4⋊C4—611no—
401C4×C4⋊C4—1221no—
402C4×C4⋊C4—1221no—
403C4×C4⋊C4—1221no—
404#376—1221no—
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×Q8—611no—
414C22×D4—21no—
415C22×D4—21no—
416C22×D4C22×D6111yescharacteristic
417C22×D4C22×D6111yescharacteristic
418C23×C4—21no—
419C23×C4—21no—
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—22no—
431#127C4×D6114yes—
432C4×Q8—614no—
433C4×Q8—614no—
434C4×Q8—1222no—
435C4×Q8—1222no—
436C4×Q8—1222no—
437C4×Q8—1222no—
438C4×D4—22no—
439C4×D4—22no—
440C4×D4—22no—
441C4×D4—22no—
442C2×C4⋊C4—611no—
443C2×C4⋊C4—611no—
444C2×C4⋊C4—611no—
445C2×C4⋊C4—1221no—
446C2×C4⋊C4—1221no—
447C2×C4⋊C4—1221no—
448C2×C4⋊C4C22×D6111yescharacteristic
449C2×C4⋊C4C22×D6111yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C42—1221no—
457C2×C42—1221no—
458C2×C42—1221no—
459C2×C42—1221no—
460C2×C42—1221no—
461C2×C42—1221no—
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—1221no—
482#95—1221no—
483#95—1221no—
484#95C22⋊D6111yescharacteristic
485#95C22⋊D6111yescharacteristic
486#95C22⋊D6111yescharacteristic
487#95C22⋊D6111yescharacteristic
488C24—21no—
489C24—21no—
490C2×Q8—612no—
491C2×Q8—612no—
492C2×Q8—612no—
493C2×Q8—1221no—
494C2×Q8—1221no—
495C2×Q8—1221no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—81no—
509C2×D4—81no—
510C2×D4—81no—
511C2×D4—81no—
512C2×D4C2×C4×D6112yes—
513C2×D4C2×C4×D6112yes—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4—1221no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—1221no—
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—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—612no—
552C4⋊C4—612no—
553C4⋊C4—612no—
554C4⋊C4—1224no—
555C4⋊C4—1221no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—1224no—
559C4⋊C4—1224no—
560C22⋊C4—42no—
561C22⋊C4—42no—
562C22⋊C4—81no—
563C22⋊C4—81no—
564C22⋊C4—81no—
565C22⋊C4—81no—
566C42—21no—
567C42—21no—
568C42—1224no—
569C42—1224no—
570C42—1224no—
571C42—4881no—
572C42—4881no—
573C42—4881no—
574C42C2×C4×D6112yes—
575C42#1175822212yes—
576C42D4×D6112yes—
577C42#1175822412yes—
578C23—22no—
579C23—22no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23C22×C22⋊D6111yescharacteristic
593Q8—614no—
594Q8—1222no—
595Q8—1222no—
596Q8—1222no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—22no—
601D4—41no—
602D4—41no—
603D4—41no—
604D4—41no—
605D4—84no—
606D4—84no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
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—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—84no—
628C2×C4—84no—
629C2×C4—1222no—
630C2×C4—1222no—
631C2×C4—1222no—
632C2×C4—1222no—
633C2×C4—1222no—
634C2×C4—1222no—
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#1451974812yes—
644C2×C4#1451974812yes—
645C2×C4C22×C4×D6111yescharacteristic
646C2×C4C2×D4×D6111yescharacteristic
647C2×C4#41×D6111yescharacteristic
648C2×C4#41×D6111yescharacteristic
649C2×C4C2×#1175822411yescharacteristic
650C2×C4C2×#1175822211yescharacteristic
651C8—1222no—
652C8—1222no—
653C8—2441no—
654C8—2441no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—81no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22C2×C4×C22⋊D6111yescharacteristic
670C22C2×#1451974811yescharacteristic
671C22#1684026911yescharacteristic
672C22#1684056511yescharacteristic
673C22#1684057311yescharacteristic
674C22#1684057311yescharacteristic
675C22#1684057311yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—41no—
681C4—41no—
682C4—81no—
683C4—81no—
684C4—1224no—
685C4—2442no—
686C4—2442no—
687C4—2442no—
688C4C4×D4×D6111yescharacteristic
689C4C4×#1175822411yescharacteristic
690C4#1684029411yescharacteristic
691C4#1684030911yescharacteristic
692C2—82no—
693C2—82no—
694C2C4×#1451974811yescharacteristic
695C2#2145465111yescharacteristic
696C2#2145467611yescharacteristic
697C2#2145533611yescharacteristic
698C2#2145535411yescharacteristic
699C2#2145601211yescharacteristic
700C2#2145610511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2328C2
socleC23×C61C22×D4
prime radicalC2×#127×C61C22
cosocleC22×C4×C61C24
hypercenter#2328D61
hypocenterC61#21515
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ #376 ◁ #2328

Complements

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

NH ≅ G/Ntype
2. C2×#16839862C2semidirect
3. C2×C4×#11758200C2semidirect
4. #21448182C2semidirect
6. #21446585C2semidirect
7. #21446443C2semidirect
8. #21446436C2semidirect
9. #21446177C2semidirect
10. #21446177C2semidirect
11. #21445831C2semidirect
12. #21445676C2semidirect
13. #21445644C2semidirect
14. C4×#14519698C2semidirect
21. #16839959C4semidirect
67. C2×#11758200C2×C4semidirect
68. C2×#11758200C2×C4semidirect
77. C4×Dic122C2×C4semidirect
78. C4×Dic122D4semidirect
94. C4⋊#92418C2×C4semidirect
101. #14519698C2×C4semidirect
102. #14519698C2×C4semidirect
412. C61#21515semidirect

Maximal subgroups

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

subgroupindex
C2×#168399592
C2×#168398622
C2×C4×#117582002
#214481822
#214467472
#214465852
#214464432
#214464362
#214461772
#214458312
#214456762
#214456442
C4×#145196982
C61×#23282
#2151561