Finite Group Databasebeta

← #29722584

Subgroups — #29722584

Order 15616.

844 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840035C211yesmaximal, characteristic, complemented
2#21455451C211yesmaximal, characteristic
3C2×#16840018C211yesmaximal, characteristic, complemented
4#21454523C211yesmaximal, characteristic
5C2×#16839810C211yesmaximal, characteristic, complemented
6#21447186C211yesmaximal, characteristic, complemented
7#21447183C211yesmaximal, characteristic, complemented
8#21447116C211yesmaximal, characteristic, complemented
9#21447115C211yesmaximal, characteristic, complemented
10#21446733C211yesmaximal, characteristic, complemented
11#21446596C211yesmaximal, characteristic, complemented
12#21446288C211yesmaximal, characteristic, complemented
13#21446287C211yesmaximal, characteristic, complemented
14#21445876C211yesmaximal, characteristic, complemented
15C61×#3056C211yesmaximal, characteristic
16C2×#14519807C2211yescharacteristic
17C22×#11758202C2211yescharacteristic
18C2×#14519784C2211yescharacteristic
19C22×#11758194C2211yescharacteristic
20C22×#11758194C2211yescharacteristic
21C2×#14519756C2211yescharacteristic
22#16840035—24no—
23#16840018—21no—
24#16840018—21no—
25#16840018—21no—
26#16840018—21no—
27#16840018—21no—
28#16840006—21no—
29#16840001—21no—
30#16839989—21no—
31#16839840—21no—
32#16839840—21no—
33#16839834—21no—
34#16839834—21no—
35#16839810—24no—
36C2×#14519712C2211yescharacteristic
37C2×#14519712C2211yescharacteristic
38C2×#14519712C2211yescharacteristic
39C2×#14519712C2211yescharacteristic
40#16839805C2211yescharacteristic
41C2×#14519708C2211yescharacteristic
42#16839789C2211yescharacteristic
43#16839770C2211yescharacteristic
44#16839763C2211yescharacteristic
45C2×#14519701C2211yescharacteristic
46C2×#14519700C2211yescharacteristic
47C2×#14519696C2211yescharacteristic
48C2×#14519696C2211yescharacteristic
49C2×#14519695C2211yescharacteristic
50C2×#14519695C2211yescharacteristic
51#16839729C2211yescharacteristic
52#16839726C2211yescharacteristic
53#16839718C2211yescharacteristic
54#16839531C2211yescharacteristic
55#16839531C2211yescharacteristic
56#16839530C2211yescharacteristic
57#16839530C2211yescharacteristic
58C2×#137×C61C2211yescharacteristic
59C22×M16×C61C2211yescharacteristic
60C61×#525C2211yescharacteristic
61C2×C22⋊Q8×C61C2211yescharacteristic
62C61×#470—21no—
63C61×#468—21no—
64C61×#467—21no—
65C61×#465—21no—
66C61×#428C2211yescharacteristic
67C61×#419C2211yescharacteristic
68C61×#417C2211yescharacteristic
69C22×Dic122C2311yescharacteristic
70#14519807—22no—
71#14519807—41no—
72C2×#11758202—21no—
73C2×#11758202—21no—
74C2×#11758202—21no—
75C2×#11758202—22no—
76C2×#11758202—22no—
77C2×#11758200—21no—
78#14519784—22no—
79#14519784—22no—
80C2×#11758194—21no—
81C2×#11758194—22no—
82C2×#11758194—21no—
83C2×#11758194—22no—
84C2×#11758194—22no—
85C2×#11758194—41no—
86C2×#11758194D411yescharacteristic
87C2×#11758194D411yescharacteristic
88C2×#11758194D411yescharacteristic
89C2×#11758194D411yescharacteristic
90C2×#11758194C2311yescharacteristic
91C2×#11758194C2311yescharacteristic
92C2×#11758194C2311yescharacteristic
93C2×#11758194C2311yescharacteristic
94C22×#92418—21no—
95C22×#92418—21no—
96C22×#92418C2311yescharacteristic
97C22×#92418C2311yescharacteristic
98#14519756—21no—
99#14519756—21no—
100#14519756—21no—
101#14519756—21no—
102C2×C4⋊Dic61C2311yescharacteristic
103C2×#11758196—21no—
104C2×C22⋊Dic61—21no—
105#14519712—22no—
106#14519712—22no—
107#14519712—22no—
108#14519712D414yescomplemented
109#14519710—21no—
110#14519708—21no—
111#14519708—21no—
112#14519708—21no—
113C4⋊#92418—21no—
114C4⋊#92418—21no—
115#14519701—21no—
116#14519701—21no—
117#14519701—21no—
118#14519700—21no—
119#14519700—21no—
120#14519700—21no—
121#14519700—21no—
122#14519698—21no—
123#14519696—22no—
124#14519696—41no—
125#14519695—22no—
126#14519695—41no—
127C22⋊#92418—21no—
128C22⋊#92418—21no—
129C22⋊#92418—21no—
130C22⋊#92418—21no—
131#14519688—21no—
132C4×#92418—21no—
133C2×#41×C61C2311yescharacteristic
134C22×Q8×C61C2311yescharacteristic
135C23×C4×C61C2311yescharacteristic
136#137×C61—22no—
137#137×C61—41no—
138C2×Q16×C61—21no—
139C2×SD16×C61—21no—
140C2×M16×C61—21no—
141C2×M16×C61—22no—
142C2×M16×C61—41no—
143C2×M16×C61C2311yescharacteristic
144C2×M16×C61C2311yescharacteristic
145C22×C8×C61—21no—
146#123×C61—21no—
147C22⋊Q8×C61—21no—
148C22⋊Q8×C61—21no—
149C22⋊Q8×C61—21no—
150C22⋊Q8×C61—21no—
151C22⋊Q8×C61D411yescharacteristic
152C22⋊Q8×C61D411yescharacteristic
153#121×C61D411yescharacteristic
154#121×C61D411yescharacteristic
155#120×C61—21no—
156C4×D4×C61—21no—
157C4×D4×C61—21no—
158#117×C61C2311yescharacteristic
159C2×C4⋊C4×C61—21no—
160C2×C4⋊C4×C61C2311yescharacteristic
161C2×C22⋊C4×C61—21no—
162#107×C61—21no—
163#106×C61—21no—
164#103×C61—21no—
165#103×C61—21no—
166#103×C61—21no—
167#102×C61—21no—
168C24×C61#4111yescharacteristic
169#41×C61—21no—
170#41×C61—21no—
171#41×C61—21no—
172#41×C61—21no—
173C2×Q8×C61—21no—
174C2×Q8×C61—21no—
175C2×Q8×C61—21no—
176C2×Q8×C61—21no—
177C2×Q8×C61—21no—
178C2×Q8×C61—21no—
179C2×Q8×C61C2×D411yescharacteristic
180C2×D4×C61—21no—
181C2×D4×C61—21no—
182C2×D4×C61—21no—
183C2×D4×C61C2×D411yescharacteristic
184C22×C4×C61—21no—
185C22×C4×C61—21no—
186C22×C4×C61—21no—
187C22×C4×C61—21no—
188C22×C4×C61—21no—
189C22×C4×C61—21no—
190C22×C4×C61—21no—
191C22×C4×C61C2×D411yescharacteristic
192C22×C4×C61C2×D411yescharacteristic
193C22×C4×C61C2×D411yescharacteristic
194C22×C4×C61C2×D411yescharacteristic
195C22×C4×C61#4111yescharacteristic
196C22×C4×C61C2411yescharacteristic
197C22×Dic61—21no—
198C22×Dic61—21no—
199C2×Dic122—21no—
200C2×Dic122—21no—
201C2×Dic122—21no—
202C2×Dic122—21no—
203C2×Dic122—21no—
204C2×Dic122—21no—
205Q16×C61—42no—
206SD16×C61—42no—
207M16×C61—21no—
208M16×C61—21no—
209M16×C61—21no—
210M16×C61—42no—
211M16×C61C2×D412yes—
212C2×C8×C61—21no—
213C2×C8×C61—21no—
214C2×C8×C61—42no—
215C4⋊C4×C61—21no—
216C4⋊C4×C61—21no—
217C4⋊C4×C61—21no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—41no—
220C4⋊C4×C61—41no—
221C4⋊C4×C61C2×D411yescharacteristic
222C4⋊C4×C61C2×D411yescharacteristic
223C22⋊C4×C61—21no—
224C22⋊C4×C61—21no—
225C22⋊C4×C61—21no—
226C22⋊C4×C61—21no—
227C22⋊C4×C61—21no—
228C22⋊C4×C61—41no—
229C22⋊C4×C61—41no—
230C42×C61—21no—
231C22⋊Dic61—41no—
232C22⋊Dic61—41no—
233#11758202—42no—
234#11758202—42no—
235#11758202—42no—
236#11758200—42no—
237C4⋊Dic61—21no—
238C4⋊Dic61—21no—
239#11758196—41no—
240#11758196—41no—
241#11758194—21no—
242#11758194—22no—
243#11758194—22no—
244#11758194—22no—
245#11758194—22no—
246#11758194—21no—
247#11758194—21no—
248#11758194—21no—
249#11758194—21no—
250#11758194—21no—
251#11758194—21no—
252#11758194—42no—
253#11758194—42no—
254#11758194C2×D412yes—
255C2×#92418—21no—
256C2×#92418—21no—
257C2×#92418—21no—
258C2×#92418—21no—
259C2×#92418—21no—
260C2×#92418—21no—
261C2×#92418—42no—
262C2×#92418—42no—
263C2×#92418C2×D411yescharacteristic
264C2×#92418C2×D411yescharacteristic
265C2×#92418C2×D411yescharacteristic
266C2×#92418C2×D411yescharacteristic
267C2×#92418C2×D412yes—
268C2×#92418#4112yes—
269C23×C61—21no—
270C23×C61—21no—
271C23×C61—21no—
272C23×C61—41no—
273C23×C61—41no—
274C23×C61#12111yescharacteristic
275C23×C61#12111yescharacteristic
276C23×C61C2×#4111yescharacteristic
277Q8×C61—21no—
278Q8×C61—21no—
279Q8×C61—41no—
280Q8×C61—41no—
281Q8×C61—41no—
282Q8×C61—41no—
283D4×C61—21no—
284D4×C61—21no—
285D4×C61—41no—
286D4×C61—41no—
287D4×C61—81no—
288D4×C61—81no—
289C2×C4×C61—21no—
290C2×C4×C61—21no—
291C2×C4×C61—21no—
292C2×C4×C61—21no—
293C2×C4×C61—21no—
294C2×C4×C61—21no—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—21no—
298C2×C4×C61—21no—
299C2×C4×C61—21no—
300C2×C4×C61—21no—
301C2×C4×C61—21no—
302C2×C4×C61—41no—
303C2×C4×C61—41no—
304C2×C4×C61—41no—
305C2×C4×C61—41no—
306C2×C4×C61—41no—
307C2×C4×C61—41no—
308C2×C4×C61—81no—
309C2×C4×C61#12111yescharacteristic
310C2×C4×C61#12111yescharacteristic
311C2×C4×C61C22×D411yescharacteristic
312C2×C4×C61C22×D411yescharacteristic
313C2×C4×C61C22×D411yescharacteristic
314C2×C4×C61C2×#4111yescharacteristic
315C2×C4×C61H(5,𝔽2)11yescharacteristic
316C2×C4×C612−1+411yescharacteristic
317C2×Dic61—41no—
318C2×Dic61—41no—
319C2×Dic61—41no—
320C2×Dic61—41no—
321C2×Dic61—81no—
322Dic122—41no—
323Dic122—41no—
324Dic122—41no—
325Dic122—41no—
326C8×C61—22no—
327C8×C61—41no—
328#92418—21no—
329#92418—21no—
330#92418—22no—
331#92418—41no—
332#92418—41no—
333#92418—41no—
334#92418#12112yes—
335#92418#12112yes—
336#24807—611nomaximal, Sylow
337C22×C61—21no—
338C22×C61—21no—
339C22×C61—21no—
340C22×C61—21no—
341C22×C61—21no—
342C22×C61—21no—
343C22×C61—21no—
344C22×C61—21no—
345C22×C61—41no—
346C22×C61—41no—
347C22×C61—41no—
348C22×C61—81no—
349C22×C61—81no—
350C22×C61C2×#12111yescharacteristic
351C22×C61#54811yescharacteristic
352C22×C61#55311yescharacteristic
353C4×C61—21no—
354C4×C61—21no—
355C4×C61—41no—
356C4×C61—41no—
357C4×C61—41no—
358C4×C61—81no—
359C4×C61—81no—
360C4×C61C2×#12111yescharacteristic
361C4×C61#53711yescharacteristic
362C4×C61D4211yescharacteristic
363C4×C61#54711yescharacteristic
364Dic61—81no—
365Dic61—81no—
366C2×#473—611no—
367#3056—611no—
368#3056D6111yescharacteristic
369C2×#470—611no—
370#2930—611no—
371C2×#430—611no—
372#2064—611no—
373#2064—611no—
374#2052—611no—
375#2052—611no—
376#1979—611no—
377#1951—611no—
378#1901—611no—
379#1901—611no—
380#1815—611no—
381C2×C61—21no—
382C2×C61—21no—
383C2×C61—41no—
384C2×C61—41no—
385C2×C61—81no—
386C2×C61#241611yescharacteristic
387C2×C61#306911yescharacteristic
388C2×C61#306911yescharacteristic
389C2×#137—611no—
390C2×#137C2×D6111yescharacteristic
391C22×Q16—611no—
392C2×#131—611no—
393C22×M16—611no—
394C22×M16—611no—
395C22×M16C2×D6111yescharacteristic
396#525C2×D6111yescharacteristic
397C2×C22⋊Q8—611no—
398C2×C22⋊Q8C2×D6111yescharacteristic
399#473—1224no—
400#470—21no—
401#470—1221no—
402#470—1221no—
403#470—1221no—
404#470—1221no—
405#470—1221no—
406#468—21no—
407#468—1221no—
408#467—21no—
409#467—1221no—
410#465—21no—
411#465—1221no—
412#436—1221no—
413#436—1221no—
414#435—1221no—
415#435—1221no—
416#430—1224no—
417C2×#108—611no—
418C2×#108—611no—
419C2×#108—611no—
420C2×#108—611no—
421#428—611no—
422#428C2×D6111yescharacteristic
423C2×#106—611no—
424#424—611no—
425#419—611no—
426#419C2×D6111yescharacteristic
427#417—611no—
428#417C2×D6111yescharacteristic
429C2×#103—611no—
430C2×#103—611no—
431C2×#101—611no—
432C2×#101—611no—
433C2×#101—611no—
434C2×#101—611no—
435#408—611no—
436#407—611no—
437#405—611no—
438#343—611no—
439#343—611no—
440#343—611no—
441#343—611no—
442C61#2480711yescharacteristic, complemented, Sylow
443C2×#41C22×D6111yescharacteristic
444C22×Q8—611no—
445C22×Q8C22×D6111yescharacteristic
446C23×C4C22×D6111yescharacteristic
447#137—22no—
448#137—41no—
449#137—1222no—
450#137—2441no—
451C2×Q16—21no—
452C2×Q16—1221no—
453C2×Q16—1221no—
454C2×Q16—1222no—
455C2×Q16—1222no—
456C2×Q16—1221no—
457C2×SD16—21no—
458C2×SD16—1221no—
459#131—1222no—
460#131—1222no—
461C2×M16—21no—
462C2×M16—22no—
463C2×M16—41no—
464C2×M16—611no—
465C2×M16—611no—
466C2×M16—611no—
467C2×M16—611no—
468C2×M16—611no—
469C2×M16—611no—
470C2×M16—611no—
471C2×M16—611no—
472C2×M16—1222no—
473C2×M16—1222no—
474C2×M16—1221no—
475C2×M16—1221no—
476C2×M16—1222no—
477C2×M16—2441no—
478C2×M16C22×D6111yescharacteristic
479C2×M16C22×D6111yescharacteristic
480C22×C8—21no—
481C22×C8—611no—
482C22×C8—611no—
483C22×C8—1221no—
484C22×C8—1221no—
485#123—21no—
486C22⋊Q8—21no—
487C22⋊Q8—21no—
488C22⋊Q8—21no—
489C22⋊Q8—21no—
490C22⋊Q8—1221no—
491C22⋊Q8—1221no—
492C22⋊Q8—1221no—
493C22⋊Q8—1221no—
494C22⋊Q8C22⋊D6111yescharacteristic
495C22⋊Q8C22⋊D6111yescharacteristic
496#121C22⋊D6111yescharacteristic
497#121C22⋊D6111yescharacteristic
498#120—21no—
499C4×D4—21no—
500C4×D4—21no—
501#117C22×D6111yescharacteristic
502C2×C4⋊C4—21no—
503C2×C4⋊C4—611no—
504C2×C4⋊C4—1221no—
505C2×C4⋊C4C22×D6111yescharacteristic
506C2×C22⋊C4—21no—
507C2×C22⋊C4—1221no—
508#108—614no—
509#108—1222no—
510#108—1222no—
511#108—1222no—
512#107—21no—
513#107—1221no—
514#106—21no—
515#106—1221no—
516#106—1221no—
517#106—1221no—
518C4⋊C8—1221no—
519C4⋊C8—1221no—
520#103—21no—
521#103—21no—
522#103—21no—
523#103—1221no—
524#103—1221no—
525#103—1221no—
526#103—1221no—
527#103—1221no—
528#103—1221no—
529#103—1221no—
530#102—21no—
531#102—1221no—
532#101—1222no—
533#101—1222no—
534#101—2441no—
535#101—2441no—
536C22⋊C8—1221no—
537C22⋊C8—1221no—
538C22⋊C8—1221no—
539C22⋊C8—1221no—
540#97—1221no—
541C4×C8—1221no—
542C24#1175822411yescharacteristic
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547C2×Q8—21no—
548C2×Q8—21no—
549C2×Q8—21no—
550C2×Q8—21no—
551C2×Q8—21no—
552C2×Q8—21no—
553C2×Q8—1221no—
554C2×Q8—1221no—
555C2×Q8—1221no—
556C2×Q8—1221no—
557C2×Q8—1221no—
558C2×Q8—1221no—
559C2×Q8C2×C22⋊D6111yescharacteristic
560C2×D4—21no—
561C2×D4—21no—
562C2×D4—21no—
563C2×D4C2×C22⋊D6111yescharacteristic
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—1221no—
572C22×C4—1221no—
573C22×C4D4×D6111yescharacteristic
574C22×C4D4×D6111yescharacteristic
575C22×C4#1175822411yescharacteristic
576C22×C4C2×C22⋊D6111yescharacteristic
577C22×C4C2×C22⋊D6111yescharacteristic
578C22×C4C23×D6111yescharacteristic
579Q16—42no—
580Q16—2442no—
581Q16—2442no—
582Q16—2442no—
583SD16—42no—
584SD16—2442no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—42no—
589M16—612no—
590M16—1222no—
591M16—1222no—
592M16—1222no—
593M16—1222no—
594M16—1221no—
595M16—1221no—
596M16—1221no—
597M16—1221no—
598M16—1221no—
599M16—1221no—
600M16—1221no—
601M16—2442no—
602M16—2442no—
603M16D4×D6112yes—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—42no—
607C2×C8—611no—
608C2×C8—611no—
609C2×C8—612no—
610C2×C8—612no—
611C2×C8—611no—
612C2×C8—611no—
613C2×C8—1221no—
614C2×C8—1221no—
615C2×C8—1221no—
616C2×C8—1221no—
617C2×C8—1221no—
618C2×C8—1221no—
619C2×C8—2442no—
620C2×C8—2442no—
621C4⋊C4—21no—
622C4⋊C4—21no—
623C4⋊C4—21no—
624C4⋊C4—21no—
625C4⋊C4—41no—
626C4⋊C4—41no—
627C4⋊C4—1221no—
628C4⋊C4—1221no—
629C4⋊C4—2441no—
630C4⋊C4—2441no—
631C4⋊C4C2×C22⋊D6111yescharacteristic
632C4⋊C4C2×C22⋊D6111yescharacteristic
633C22⋊C4—21no—
634C22⋊C4—21no—
635C22⋊C4—21no—
636C22⋊C4—21no—
637C22⋊C4—21no—
638C22⋊C4—41no—
639C22⋊C4—41no—
640C22⋊C4—2441no—
641C22⋊C4—2441no—
642C42—21no—
643C23—21no—
644C23—21no—
645C23—21no—
646C23—41no—
647C23—41no—
648C23#1451974911yescharacteristic
649C23#1451974911yescharacteristic
650C23C2×#1175822411yescharacteristic
651Q8—21no—
652Q8—21no—
653Q8—41no—
654Q8—41no—
655Q8—41no—
656Q8—41no—
657Q8—2441no—
658Q8—2441no—
659Q8—2441no—
660Q8—2441no—
661D4—21no—
662D4—21no—
663D4—41no—
664D4—41no—
665D4—81no—
666D4—81no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—81no—
687C2×C4—4881no—
688C2×C4—2441no—
689C2×C4—2441no—
690C2×C4—2441no—
691C2×C4—2441no—
692C2×C4#1451974911yescharacteristic
693C2×C4#1451974911yescharacteristic
694C2×C4C2×D4×D6111yescharacteristic
695C2×C4C2×D4×D6111yescharacteristic
696C2×C4C22×C22⋊D6111yescharacteristic
697C2×C4#41×D6111yescharacteristic
698C2×C4#1451982211yescharacteristic
699C2×C4#1451982411yescharacteristic
700C8—22no—
701C8—41no—
702C8—612no—
703C8—612no—
704C8—1221no—
705C8—1221no—
706C8—1222no—
707C8—2441no—
708C8—2441no—
709C8—2441no—
710C22—21no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—81no—
722C22—81no—
723C22C2×#1451974911yescharacteristic
724C22#1684041811yescharacteristic
725C22#1684045511yescharacteristic
726C4—21no—
727C4—21no—
728C4—41no—
729C4—41no—
730C4—41no—
731C4—81no—
732C4—81no—
733C4—4881no—
734C4—4881no—
735C4#121×D6111yescharacteristic
736C4#1684033911yescharacteristic
737C4D4×C22⋊D6111yescharacteristic
738C4#1684041111yescharacteristic
739C2—21no—
740C2—21no—
741C2—41no—
742C2—41no—
743C2—81no—
744C2#2144925611yescharacteristic
745C2#2145555311yescharacteristic
746C2#2145555811yescharacteristic
subgroupG/H
centerC22C2×#14519749
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#3056C2
socleC22×C61C2×#121
prime radicalC61×#525C22
hypercenter#3056D61
hypocenterC61#24807
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3056

Complements

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

NH ≅ G/Ntype
1. C2×#16840035C2semidirect
3. C2×#16840018C2semidirect
5. C2×#16839810C2semidirect
6. #21447186C2semidirect
7. #21447183C2semidirect
8. #21447116C2semidirect
9. #21447115C2semidirect
10. #21446733C2semidirect
11. #21446596C2semidirect
12. #21446288C2semidirect
13. #21446287C2semidirect
14. #21445876C2semidirect
108. #14519712D4semidirect
442. C61#24807semidirect

Maximal subgroups

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

subgroupindex
C2×#168400352
#214554512
C2×#168400182
#214545232
C2×#168398102
#214471862
#214471832
#214471162
#214471152
#214467332
#214465962
#214462882
#214462872
#214458762
C61×#30562
#2480761