Finite Group Databasebeta

← #29722566

Subgroups — #29722566

Order 15616.

870 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840027C211yesmaximal, characteristic, complemented
2#21455440C211yesmaximal, characteristic
3C2×#16840010C211yesmaximal, characteristic, complemented
4#21454523C211yesmaximal, characteristic, complemented
5C2×#16839810C211yesmaximal, characteristic, complemented
6#21447186C211yesmaximal, characteristic, complemented
7#21447176C211yesmaximal, characteristic, complemented
8#21447115C211yesmaximal, characteristic, complemented
9#21447109C211yesmaximal, characteristic, complemented
10#21446721C211yesmaximal, characteristic, complemented
11#21446601C211yesmaximal, characteristic, complemented
12#21446288C211yesmaximal, characteristic, complemented
13#21446282C211yesmaximal, characteristic, complemented
14#21445881C211yesmaximal, characteristic, complemented
15C61×#3056C211yesmaximal, characteristic, complemented
16C2×#14519802C2211yescharacteristic
17C22×#11758201C2211yescharacteristic
18C2×#14519784C2211yescharacteristic
19C22×#11758194C2211yescharacteristic
20C22×#11758194C2211yescharacteristic
21C2×#14519751C2211yescharacteristic
22#16840027—24no—
23#16840013—21no—
24#16840010—21no—
25#16840010—21no—
26#16840010—21no—
27#16840010—21no—
28#16840010—21no—
29#16839996—21no—
30#16839993—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×#14519710C2211yescharacteristic
42#16839789C2211yescharacteristic
43#16839766C2211yescharacteristic
44#16839763C2211yescharacteristic
45C2×#14519701C2211yescharacteristic
46C2×#14519697C2211yescharacteristic
47C2×#14519696C2211yescharacteristic
48C2×#14519696C2211yescharacteristic
49C2×#14519693C2211yescharacteristic
50C2×#14519693C2211yescharacteristic
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×D244C2311yescharacteristic
70C22×C22⋊D61—21no—
71#14519802—22no—
72#14519802—41no—
73C2×#11758201—21no—
74C2×#11758201—21no—
75C2×#11758201—21no—
76C2×#11758201—22no—
77C2×#11758201—22no—
78C2×#11758199—21no—
79#14519784—22no—
80#14519784—22no—
81C2×#11758194—21no—
82C2×#11758194—22no—
83C2×#11758194—21no—
84C2×#11758194—22no—
85C2×#11758194—22no—
86C2×#11758194—41no—
87C2×#11758194D411yescharacteristic
88C2×#11758194D411yescharacteristic
89C2×#11758194D411yescharacteristic
90C2×#11758194D411yescharacteristic
91C2×#11758194C2311yescharacteristic
92C2×#11758194C2311yescharacteristic
93C2×#11758194C2311yescharacteristic
94C2×#11758194C2311yescharacteristic
95C22×#92418—21no—
96C22×#92418—21no—
97C22×#92418C2311yescharacteristic
98C22×#92418C2311yescharacteristic
99#14519751—21no—
100#14519751—21no—
101#14519751—21no—
102#14519751—21no—
103C2×C4⋊Dic61C2311yescharacteristic
104C2×#11758198—21no—
105#14519712—22no—
106#14519712—22no—
107#14519712—22no—
108#14519712D414yescomplemented
109#14519710—21no—
110#14519710—21no—
111#14519710—21no—
112#14519708—21no—
113C4⋊#92418—21no—
114C4⋊#92418—21no—
115#14519701—21no—
116#14519701—21no—
117#14519701—21no—
118#14519698—21no—
119#14519697—21no—
120#14519697—21no—
121#14519697—21no—
122#14519697—21no—
123#14519696—22no—
124#14519696—41no—
125#14519693—22no—
126#14519693—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
169C23×D61—21no—
170#41×C61—21no—
171#41×C61—21no—
172#41×C61—21no—
173#41×C61—21no—
174C2×Q8×C61—21no—
175C2×Q8×C61—21no—
176C2×Q8×C61—21no—
177C2×Q8×C61—21no—
178C2×Q8×C61—21no—
179C2×Q8×C61—21no—
180C2×Q8×C61C2×D411yescharacteristic
181C2×D4×C61—21no—
182C2×D4×C61—21no—
183C2×D4×C61—21no—
184C2×D4×C61C2×D411yescharacteristic
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×C61—21no—
192C22×C4×C61C2×D411yescharacteristic
193C22×C4×C61C2×D411yescharacteristic
194C22×C4×C61C2×D411yescharacteristic
195C22×C4×C61C2×D411yescharacteristic
196C22×C4×C61#4111yescharacteristic
197C22×C4×C61C2411yescharacteristic
198C2×C22⋊D61—41no—
199C2×C22⋊D61—41no—
200C2×C22⋊D61—82no—
201C22×Dic61—21no—
202C2×D244—21no—
203C2×D244—21no—
204C2×D244—21no—
205C2×D244—21no—
206C2×D244—21no—
207C2×D244—21no—
208Q16×C61—42no—
209SD16×C61—42no—
210M16×C61—21no—
211M16×C61—21no—
212M16×C61—21no—
213M16×C61—42no—
214M16×C61C2×D412yes—
215C2×C8×C61—21no—
216C2×C8×C61—21no—
217C2×C8×C61—42no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61—41no—
223C4⋊C4×C61—41no—
224C4⋊C4×C61C2×D411yescharacteristic
225C4⋊C4×C61C2×D411yescharacteristic
226C22⋊C4×C61—21no—
227C22⋊C4×C61—21no—
228C22⋊C4×C61—21no—
229C22⋊C4×C61—21no—
230C22⋊C4×C61—21no—
231C22⋊C4×C61—41no—
232C22⋊C4×C61—41no—
233C42×C61—21no—
234#11758201—42no—
235#11758201—42no—
236#11758201—42no—
237#11758199—42no—
238#11758198—41no—
239#11758198—41no—
240C4⋊Dic61—21no—
241C4⋊Dic61—21no—
242#11758194—21no—
243#11758194—22no—
244#11758194—22no—
245#11758194—22no—
246#11758194—22no—
247#11758194—21no—
248#11758194—21no—
249#11758194—21no—
250#11758194—21no—
251#11758194—21no—
252#11758194—21no—
253#11758194—42no—
254#11758194—42no—
255#11758194C2×D412yes—
256C2×#92418—21no—
257C2×#92418—21no—
258C2×#92418—21no—
259C2×#92418—21no—
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418—42no—
263C2×#92418—42no—
264C2×#92418C2×D411yescharacteristic
265C2×#92418C2×D411yescharacteristic
266C2×#92418C2×D411yescharacteristic
267C2×#92418C2×D411yescharacteristic
268C2×#92418C2×D412yes—
269C2×#92418#4112yes—
270C23×C61—21no—
271C23×C61—21no—
272C23×C61—21no—
273C23×C61—41no—
274C23×C61—41no—
275C23×C61#12111yescharacteristic
276C23×C61#12111yescharacteristic
277C23×C61C2×#4111yescharacteristic
278C22×D61—41no—
279C22×D61—41no—
280C22×D61—41no—
281C22×D61—81no—
282C22×D61—81no—
283Q8×C61—21no—
284Q8×C61—21no—
285Q8×C61—41no—
286Q8×C61—41no—
287Q8×C61—41no—
288Q8×C61—41no—
289D4×C61—21no—
290D4×C61—21no—
291D4×C61—41no—
292D4×C61—41no—
293D4×C61—81no—
294D4×C61—81no—
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—21no—
303C2×C4×C61—21no—
304C2×C4×C61—21no—
305C2×C4×C61—21no—
306C2×C4×C61—21no—
307C2×C4×C61—21no—
308C2×C4×C61—41no—
309C2×C4×C61—41no—
310C2×C4×C61—41no—
311C2×C4×C61—41no—
312C2×C4×C61—41no—
313C2×C4×C61—41no—
314C2×C4×C61—81no—
315C2×C4×C61#12111yescharacteristic
316C2×C4×C61#12111yescharacteristic
317C2×C4×C61C22×D411yescharacteristic
318C2×C4×C61C22×D411yescharacteristic
319C2×C4×C61C22×D411yescharacteristic
320C2×C4×C61C2×#4111yescharacteristic
321C2×C4×C61H(5,𝔽2)11yescharacteristic
322C2×C4×C612−1+411yescharacteristic
323C22⋊D61—82no—
324C22⋊D61—82no—
325C2×Dic61—41no—
326C2×Dic61—81no—
327D244—41no—
328D244—41no—
329D244—41no—
330D244—41no—
331C8×C61—22no—
332C8×C61—41no—
333#92418—21no—
334#92418—21no—
335#92418—22no—
336#92418—41no—
337#92418—41no—
338#92418—41no—
339#92418#12112yes—
340#92418#12112yes—
341#24805—611nomaximal, Sylow
342C22×C61—21no—
343C22×C61—21no—
344C22×C61—21no—
345C22×C61—21no—
346C22×C61—21no—
347C22×C61—21no—
348C22×C61—21no—
349C22×C61—21no—
350C22×C61—41no—
351C22×C61—41no—
352C22×C61—41no—
353C22×C61—81no—
354C22×C61—81no—
355C22×C61C2×#12111yescharacteristic
356C22×C61#54811yescharacteristic
357C22×C61#55311yescharacteristic
358C2×D61—81no—
359C2×D61—81no—
360C2×D61—81no—
361C2×D61—161no—
362C2×D61—161no—
363C4×C61—21no—
364C4×C61—21no—
365C4×C61—41no—
366C4×C61—41no—
367C4×C61—41no—
368C4×C61—81no—
369C4×C61—81no—
370C4×C61C2×#12111yescharacteristic
371C4×C61#53711yescharacteristic
372C4×C61D4211yescharacteristic
373C4×C61#54711yescharacteristic
374Dic61—81no—
375C2×#471—611no—
376#3056D6111yescharacteristic, complemented
377#3055—611no—
378C2×#468—611no—
379#2930—611no—
380C2×#430—611no—
381#2064—611no—
382#2063—611no—
383#2052—611no—
384#2051—611no—
385#1977—611no—
386#1952—611no—
387#1901—611no—
388#1900—611no—
389#1816—611no—
390C2×C61—21no—
391C2×C61—21no—
392C2×C61—41no—
393C2×C61—41no—
394C2×C61—81no—
395C2×C61#241611yescharacteristic
396C2×C61#306811yescharacteristic
397C2×C61#306911yescharacteristic
398D61—161no—
399C2×#137C2×D6111yescharacteristic
400C2×AGL(1,ℤ/8)—611no—
401C22×SD16—611no—
402C2×#131—611no—
403C22×M16—611no—
404C22×M16—611no—
405C22×M16C2×D6111yescharacteristic
406#525C2×D6111yescharacteristic
407C2×C22⋊Q8C2×D6111yescharacteristic
408C2×#121—611no—
409#471—1224no—
410#470—21no—
411#469—1221no—
412#468—21no—
413#468—1221no—
414#468—1221no—
415#468—1221no—
416#468—1221no—
417#468—1221no—
418#467—21no—
419#466—1221no—
420#465—21no—
421#465—1221no—
422#436—1221no—
423#436—1221no—
424#435—1221no—
425#435—1221no—
426#430—1224no—
427C2×#108—611no—
428C2×#108—611no—
429C2×#108—611no—
430C2×#108—611no—
431#428—611no—
432#428C2×D6111yescharacteristic
433C2×#107—611no—
434#424—611no—
435#419C2×D6111yescharacteristic
436#418—611no—
437#417—611no—
438#417C2×D6111yescharacteristic
439C2×#103—611no—
440C2×#102—611no—
441C2×#101—611no—
442C2×#101—611no—
443C2×#100—611no—
444C2×#100—611no—
445#408—611no—
446#407—611no—
447#405—611no—
448#343—611no—
449#343—611no—
450#343—611no—
451#343—611no—
452C61#2480511yescharacteristic, complemented, Sylow
453C2×#41C22×D6111yescharacteristic
454C22×Q8C22×D6111yescharacteristic
455C22×D4—611no—
456C22×D4—1221no—
457C23×C4C22×D6111yescharacteristic
458#137—22no—
459#137—41no—
460AGL(1,ℤ/8)—1222no—
461AGL(1,ℤ/8)—2441no—
462C2×Q16—21no—
463C2×SD16—21no—
464C2×SD16—1221no—
465C2×SD16—1221no—
466C2×SD16—1222no—
467C2×SD16—1222no—
468C2×SD16—1221no—
469C2×D8—1221no—
470#131—1222no—
471#131—1222no—
472C2×M16—21no—
473C2×M16—22no—
474C2×M16—41no—
475C2×M16—611no—
476C2×M16—611no—
477C2×M16—611no—
478C2×M16—611no—
479C2×M16—611no—
480C2×M16—611no—
481C2×M16—611no—
482C2×M16—611no—
483C2×M16—1222no—
484C2×M16—1222no—
485C2×M16—1221no—
486C2×M16—1221no—
487C2×M16—1222no—
488C2×M16—2441no—
489C2×M16C22×D6111yescharacteristic
490C2×M16C22×D6111yescharacteristic
491C22×C8—21no—
492C22×C8—611no—
493C22×C8—611no—
494C22×C8—1221no—
495C22×C8—1221no—
496#123—21no—
497C22⋊Q8—21no—
498C22⋊Q8—21no—
499C22⋊Q8—21no—
500C22⋊Q8—21no—
501C22⋊Q8C22⋊D6111yescharacteristic
502C22⋊Q8C22⋊D6111yescharacteristic
503#121—1221no—
504#121—1221no—
505#121—1221no—
506#121—1221no—
507#121C22⋊D6111yescharacteristic
508#121C22⋊D6111yescharacteristic
509#120—21no—
510C4×D4—21no—
511C4×D4—21no—
512#117C22×D6111yescharacteristic
513C2×C4⋊C4—21no—
514C2×C4⋊C4—611no—
515C2×C4⋊C4C22×D6111yescharacteristic
516C2×C22⋊C4—21no—
517C2×C22⋊C4—1221no—
518#108—614no—
519#108—1222no—
520#108—1222no—
521#108—1222no—
522#107—21no—
523#107—1221no—
524#107—1221no—
525#107—1221no—
526#106—21no—
527#106—1221no—
528C4⋊C8—1221no—
529C4⋊C8—1221no—
530#103—21no—
531#103—21no—
532#103—21no—
533#103—1221no—
534#103—1221no—
535#103—1221no—
536#102—21no—
537#102—1221no—
538#102—1221no—
539#102—1221no—
540#102—1221no—
541#102—1221no—
542#101—1222no—
543#101—2441no—
544#100—1222no—
545#100—2441no—
546C22⋊C8—1221no—
547C22⋊C8—1221no—
548C22⋊C8—1221no—
549C22⋊C8—1221no—
550#97—1221no—
551C4×C8—1221no—
552C24—1221no—
553C24#1175822411yescharacteristic
554#41—21no—
555#41—21no—
556#41—21no—
557#41—21no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—21no—
562C2×Q8—21no—
563C2×Q8—21no—
564C2×Q8C2×C22⋊D6111yescharacteristic
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—21no—
568C2×D4—1221no—
569C2×D4—1221no—
570C2×D4—1221no—
571C2×D4—1221no—
572C2×D4—1221no—
573C2×D4—1221no—
574C2×D4—4882no—
575C2×D4—2441no—
576C2×D4—2441no—
577C2×D4C2×C22⋊D6111yescharacteristic
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—1221no—
586C22×C4D4×D6111yescharacteristic
587C22×C4D4×D6111yescharacteristic
588C22×C4#1175822411yescharacteristic
589C22×C4C2×C22⋊D6111yescharacteristic
590C22×C4C2×C22⋊D6111yescharacteristic
591C22×C4C23×D6111yescharacteristic
592Q16—42no—
593SD16—42no—
594SD16—2442no—
595SD16—2442no—
596SD16—2442no—
597D8—2442no—
598M16—21no—
599M16—21no—
600M16—21no—
601M16—42no—
602M16—612no—
603M16—1222no—
604M16—1222no—
605M16—1222no—
606M16—1222no—
607M16—1221no—
608M16—1221no—
609M16—1221no—
610M16—1221no—
611M16—1221no—
612M16—1221no—
613M16—1221no—
614M16—2442no—
615M16—2442no—
616M16D4×D6112yes—
617C2×C8—21no—
618C2×C8—21no—
619C2×C8—42no—
620C2×C8—611no—
621C2×C8—611no—
622C2×C8—612no—
623C2×C8—612no—
624C2×C8—611no—
625C2×C8—611no—
626C2×C8—1221no—
627C2×C8—1221no—
628C2×C8—1221no—
629C2×C8—1221no—
630C2×C8—1221no—
631C2×C8—1221no—
632C2×C8—2442no—
633C2×C8—2442no—
634C4⋊C4—21no—
635C4⋊C4—21no—
636C4⋊C4—21no—
637C4⋊C4—21no—
638C4⋊C4—41no—
639C4⋊C4—41no—
640C4⋊C4—1221no—
641C4⋊C4—1221no—
642C4⋊C4C2×C22⋊D6111yescharacteristic
643C4⋊C4C2×C22⋊D6111yescharacteristic
644C22⋊C4—21no—
645C22⋊C4—21no—
646C22⋊C4—21no—
647C22⋊C4—21no—
648C22⋊C4—21no—
649C22⋊C4—41no—
650C22⋊C4—41no—
651C22⋊C4—2441no—
652C22⋊C4—2441no—
653C42—21no—
654C23—21no—
655C23—21no—
656C23—21no—
657C23—41no—
658C23—41no—
659C23—4881no—
660C23—4881no—
661C23—2441no—
662C23—2441no—
663C23—2441no—
664C23#1451974911yescharacteristic
665C23#1451974911yescharacteristic
666C23C2×#1175822411yescharacteristic
667Q8—21no—
668Q8—21no—
669Q8—41no—
670Q8—41no—
671Q8—41no—
672Q8—41no—
673D4—21no—
674D4—21no—
675D4—41no—
676D4—41no—
677D4—81no—
678D4—81no—
679D4—4882no—
680D4—4882no—
681D4—2441no—
682D4—2441no—
683D4—2441no—
684D4—2441no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—81no—
705C2×C4—4881no—
706C2×C4—2441no—
707C2×C4#1451974911yescharacteristic
708C2×C4#1451974911yescharacteristic
709C2×C4C2×D4×D6111yescharacteristic
710C2×C4C2×D4×D6111yescharacteristic
711C2×C4C22×C22⋊D6111yescharacteristic
712C2×C4#41×D6111yescharacteristic
713C2×C4#1451982211yescharacteristic
714C2×C4#1451982411yescharacteristic
715C8—22no—
716C8—41no—
717C8—612no—
718C8—612no—
719C8—1221no—
720C8—1221no—
721C8—1222no—
722C8—2441no—
723C8—2441no—
724C8—2441no—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—81no—
737C22—81no—
738C22—9761no—
739C22—9761no—
740C22—4881no—
741C22—4881no—
742C22—4881no—
743C22C2×#1451974911yescharacteristic
744C22#1684041811yescharacteristic
745C22#1684045511yescharacteristic
746C4—21no—
747C4—21no—
748C4—41no—
749C4—41no—
750C4—41no—
751C4—81no—
752C4—81no—
753C4—4881no—
754C4#121×D6111yescharacteristic
755C4#1684033911yescharacteristic
756C4D4×C22⋊D6111yescharacteristic
757C4#1684041111yescharacteristic
758C2—21no—
759C2—21no—
760C2—41no—
761C2—41no—
762C2—81no—
763C2—9761no—
764C2#2144925611yescharacteristic
765C2#2145554911yescharacteristic
766C2#2145555311yescharacteristic
subgroupG/H
centerC22C2×#14519749
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#3056C2
socleC22×C61C2×#121
prime radical#21455440C2
hypercenter#3056D61
hypocenterC61#24805
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×#16840027C2semidirect
3. C2×#16840010C2semidirect
4. #21454523C2semidirect
5. C2×#16839810C2semidirect
6. #21447186C2semidirect
7. #21447176C2semidirect
8. #21447115C2semidirect
9. #21447109C2semidirect
10. #21446721C2semidirect
11. #21446601C2semidirect
12. #21446288C2semidirect
13. #21446282C2semidirect
14. #21445881C2semidirect
15. C61×#3056C2semidirect
108. #14519712D4semidirect
376. #3056D61semidirect
452. C61#24805semidirect

Maximal subgroups

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

subgroupindex
C2×#168400272
#214554402
C2×#168400102
#214545232
C2×#168398102
#214471862
#214471762
#214471152
#214471092
#214467212
#214466012
#214462882
#214462822
#214458812
C61×#30562
#2480561