Finite Group Databasebeta

← #29722563

Subgroups — #29722563

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×#16840022C211yesmaximal, characteristic, complemented
2#21455445C211yesmaximal, characteristic, complemented
3#21455434C211yesmaximal, characteristic
4#21454522C211yesmaximal, characteristic, complemented
5C2×#16839811C211yesmaximal, characteristic, complemented
6#21447184C211yesmaximal, characteristic, complemented
7#21447177C211yesmaximal, characteristic, complemented
8#21447119C211yesmaximal, characteristic, complemented
9#21447112C211yesmaximal, characteristic, complemented
10#21446724C211yesmaximal, characteristic, complemented
11#21446602C211yesmaximal, characteristic, complemented
12#21446288C211yesmaximal, characteristic, complemented
13#21446283C211yesmaximal, characteristic, complemented
14#21445884C211yesmaximal, characteristic, complemented
15C2×C61×#468C211yesmaximal, characteristic, complemented
16C2×#14519808C2211yescharacteristic
17C2×#14519803C2211yescharacteristic
18C2×#14519783C2211yescharacteristic
19C22×#11758194C2211yescharacteristic
20C22×#11758194C2211yescharacteristic
21#16840273C2211yescharacteristic
22#16840022—24no—
23#16840018—21no—
24#16840013—21no—
25#16840010—21no—
26#16840006—21no—
27#16840001—21no—
28#16839996—21no—
29#16839993—21no—
30#16839989—21no—
31#16839838—21no—
32#16839838—21no—
33#16839831—21no—
34#16839831—21no—
35#16839811—24no—
36C2×#14519713C2211yescharacteristic
37C2×#14519713C2211yescharacteristic
38C2×#14519713C2211yescharacteristic
39C2×#14519713C2211yescharacteristic
40#16839802C2211yescharacteristic
41#16839802C2211yescharacteristic
42#16839788C2211yescharacteristic
43#16839771C2211yescharacteristic
44#16839767C2211yescharacteristic
45#16839761C2211yescharacteristic
46#16839761C2211yescharacteristic
47C2×#14519696C2211yescharacteristic
48C2×#14519696C2211yescharacteristic
49C2×#14519694C2211yescharacteristic
50C2×#14519694C2211yescharacteristic
51#16839728C2211yescharacteristic
52#16839726C2211yescharacteristic
53#16839717C2211yescharacteristic
54#16839531C2211yescharacteristic
55#16839531C2211yescharacteristic
56#16839531C2211yescharacteristic
57#16839531C2211yescharacteristic
58C22×SD16×C61C2211yescharacteristic
59C22×M16×C61C2211yescharacteristic
60C2×C22⋊Q8×C61C2211yescharacteristic
61C2×#121×C61C2211yescharacteristic
62C61×#468—21no—
63C61×#468—21no—
64C61×#468—21no—
65C61×#468—21no—
66C2×#107×C61C2211yescharacteristic
67C2×#103×C61C2211yescharacteristic
68C2×#102×C61C2211yescharacteristic
69C2×#11758222C2311yescharacteristic
70#14519808—22no—
71#14519808—41no—
72#14519803—22no—
73#14519803—41no—
74C2×#11758202—21no—
75C2×#11758200—21no—
76C2×#11758201—21no—
77C2×#11758199—21no—
78#14519783—22no—
79#14519783—22no—
80C2×#11758194—21no—
81C2×#11758194—21no—
82C2×#11758194—22no—
83C2×#11758194—22no—
84C2×#11758194—41no—
85C2×#11758194—41no—
86C2×#11758194C2311yescharacteristic
87C2×#11758194C2311yescharacteristic
88C2×#11758194C2311yescharacteristic
89C2×#11758194C2311yescharacteristic
90C2×#11758194C2311yescharacteristic
91C2×#11758194C2311yescharacteristic
92C2×#11758189—21no—
93C22×#92418—21no—
94C22×#92418—21no—
95C2×C8×D61—21no—
96#14519760—21no—
97#14519756D411yescharacteristic
98#14519756D411yescharacteristic
99#14519751D411yescharacteristic
100#14519751D411yescharacteristic
101#14519746—21no—
102C4×C22⋊D61—21no—
103C4×C22⋊D61—21no—
104#14519736C2311yescharacteristic
105#14519713—22no—
106#14519713—22no—
107#14519713—22no—
108#14519713D414yescomplemented
109#14519710—21no—
110#14519710—21no—
111#14519708—21no—
112#14519708—21no—
113#14519706—21no—
114#14519706—21no—
115#14519701—21no—
116#14519701—21no—
117#14519700—21no—
118#14519700—21no—
119#14519698—21no—
120#14519698—21no—
121#14519697—21no—
122#14519697—21no—
123#14519696—22no—
124#14519696—41no—
125#14519694—22no—
126#14519694—41no—
127C22⋊#92418—21no—
128C22⋊#92418—21no—
129#14519689—21no—
130#14519689—21no—
131#14519687—21no—
132C8×Dic61—21no—
133C22×Q8×C61C2311yescharacteristic
134C22×D4×C61—21no—
135C22×D4×C61C2311yescharacteristic
136C23×C4×C61C2311yescharacteristic
137C2×SD16×C61—22no—
138C2×SD16×C61—21no—
139C2×SD16×C61—21no—
140C2×SD16×C61—22no—
141C2×M16×C61—22no—
142C2×M16×C61—22no—
143C2×M16×C61D411yescharacteristic
144C2×M16×C61D411yescharacteristic
145C2×M16×C61D411yescharacteristic
146C2×M16×C61D411yescharacteristic
147C22×C8×C61C2311yescharacteristic
148C22×C8×C61C2311yescharacteristic
149C22⋊Q8×C61—21no—
150C22⋊Q8×C61—21no—
151C22⋊Q8×C61—21no—
152C22⋊Q8×C61—21no—
153#121×C61—21no—
154#121×C61—21no—
155#121×C61—21no—
156#121×C61—21no—
157C2×C4⋊C4×C61—21no—
158C2×C4⋊C4×C61C2311yescharacteristic
159C2×C4⋊C4×C61C2311yescharacteristic
160C2×C22⋊C4×C61—21no—
161C2×C22⋊C4×C61—21no—
162#107×C61—21no—
163#107×C61—21no—
164#103×C61—21no—
165#103×C61—21no—
166#102×C61—21no—
167#102×C61—21no—
168C24×C61—21no—
169C24×C61#4111yescharacteristic
170C2×Q8×C61—21no—
171C2×Q8×C61—21no—
172C2×Q8×C61—21no—
173C2×Q8×C61—21no—
174C2×Q8×C61—21no—
175C2×Q8×C61—21no—
176C2×D4×C61—21no—
177C2×D4×C61—21no—
178C2×D4×C61—21no—
179C2×D4×C61—21no—
180C2×D4×C61—21no—
181C2×D4×C61—21no—
182C2×D4×C61—41no—
183C2×D4×C61—41no—
184C2×D4×C61—82no—
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—21no—
199C2×C22⋊D61—21no—
200C2×C22⋊D61—21no—
201#11758222—21no—
202#11758222—21no—
203#11758222—21no—
204#11758222—21no—
205C2×D244C2×D411yescharacteristic
206C2×C4×D61—21no—
207C2×Dic122C2×D411yescharacteristic
208SD16×C61—42no—
209SD16×C61—42no—
210M16×C61—22no—
211M16×C61—22no—
212M16×C61—22no—
213M16×C61—22no—
214C2×C8×C61—21no—
215C2×C8×C61—21no—
216C2×C8×C61C2×D411yescharacteristic
217C2×C8×C61C2×D411yescharacteristic
218C2×C8×C61C2×D412yes—
219C2×C8×C61C2×D411yescharacteristic
220C2×C8×C61C2×D411yescharacteristic
221C2×C8×C61#4112yes—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61—41no—
227C4⋊C4×C61—41no—
228C22⋊C4×C61—41no—
229C22⋊C4×C61—41no—
230C22⋊C4×C61—41no—
231C22⋊C4×C61—41no—
232C22⋊Dic61—21no—
233C22⋊Dic61—21no—
234C22⋊Dic61—21no—
235#11758202—42no—
236#11758201—42no—
237#11758200—42no—
238#11758199—42no—
239#11758198—21no—
240#11758198—21no—
241C4⋊Dic61C2×D411yescharacteristic
242C4⋊Dic61C2×D411yescharacteristic
243#11758196—21no—
244#11758196—21no—
245C4×Dic61—21no—
246#11758194—21no—
247#11758194—21no—
248#11758194—21no—
249#11758194—21no—
250#11758194—21no—
251#11758194—21no—
252#11758194—21no—
253#11758194—21no—
254#11758194—21no—
255#11758194—21no—
256#11758194—42no—
257#11758194—42no—
258#11758194C2×D412yes—
259#11758194C2×D412yes—
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418—21no—
263C2×#92418—21no—
264C2×#92418—21no—
265C2×#92418—21no—
266C2×#92418—42no—
267C2×#92418—42no—
268#11758189—42no—
269C8×D61—42no—
270C23×C61—21no—
271C23×C61—21no—
272C23×C61—41no—
273C23×C61—41no—
274C23×C61—41no—
275C23×C61—41no—
276C23×C61—41no—
277C23×C61—81no—
278C23×C61—81no—
279C23×C61#12111yescharacteristic
280C23×C61#12111yescharacteristic
281C23×C61C2×#4111yescharacteristic
282C22×D61—21no—
283Q8×C61—41no—
284Q8×C61—41no—
285Q8×C61—41no—
286Q8×C61—41no—
287D4×C61—41no—
288D4×C61—41no—
289D4×C61—41no—
290D4×C61—41no—
291D4×C61—82no—
292D4×C61—82no—
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—21no—
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—81no—
310C2×C4×C61#12111yescharacteristic
311C2×C4×C61#12111yescharacteristic
312C2×C4×C61C22×D411yescharacteristic
313C2×C4×C61C22×D411yescharacteristic
314C2×C4×C61C22×D411yescharacteristic
315C2×C4×C61C2×#4111yescharacteristic
316C2×C4×C61H(5,𝔽2)11yescharacteristic
317C2×C4×C612−1+411yescharacteristic
318C22⋊D61—41no—
319C22⋊D61—41no—
320C22⋊D61—81no—
321C22⋊D61—81no—
322C2×Dic61—21no—
323C2×Dic61—21no—
324C2×Dic61—21no—
325D244—21no—
326D244—21no—
327C4×D61—41no—
328C4×D61—41no—
329Dic122—21no—
330Dic122—21no—
331C8×C61—21no—
332C8×C61—21no—
333C8×C61#12112yes—
334C8×C61#12112yes—
335#92418—22no—
336#92418—22no—
337#92418—41no—
338#92418—41no—
339#92418—41no—
340#92418—41no—
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—81no—
351C22×C61—81no—
352C22×C61—81no—
353C22×C61—81no—
354C22×C61—81no—
355C22×C61—161no—
356C22×C61—161no—
357C22×C61C2×#12111yescharacteristic
358C22×C61#54811yescharacteristic
359C22×C61#55311yescharacteristic
360C2×D61—41no—
361C2×D61—41no—
362C2×D61—41no—
363C4×C61—21no—
364C4×C61—21no—
365C4×C61—81no—
366C4×C61—81no—
367C4×C61—81no—
368C4×C61C2×#12111yescharacteristic
369C4×C61#53711yescharacteristic
370C4×C61D4211yescharacteristic
371C4×C61#54711yescharacteristic
372Dic61—41no—
373Dic61—41no—
374Dic61—41no—
375C2×#471—611no—
376#3056—611no—
377#3055—611no—
378C2×#468D6111yescharacteristic, complemented
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—161no—
395C2×C61#241611yescharacteristic
396C2×C61#306811yescharacteristic
397C2×C61#306911yescharacteristic
398D61—81no—
399C2×#137—611no—
400C2×AGL(1,ℤ/8)—611no—
401C22×SD16C2×D6111yescharacteristic
402C2×#131—611no—
403C22×M16—611no—
404C22×M16—611no—
405C22×M16C2×D6111yescharacteristic
406#525—611no—
407C2×C22⋊Q8C2×D6111yescharacteristic
408C2×#121C2×D6111yescharacteristic
409#471—1224no—
410#470—1221no—
411#469—1221no—
412#468—21no—
413#468—21no—
414#468—21no—
415#468—21no—
416#468—1221no—
417#468—1221no—
418#467—1221no—
419#466—1221no—
420#465—1221no—
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#428—611no—
433C2×#107C2×D6111yescharacteristic
434#424—611no—
435#419—611no—
436#418—611no—
437#417—611no—
438#417—611no—
439C2×#103C2×D6111yescharacteristic
440C2×#102C2×D6111yescharacteristic
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×#41—611no—
454C22×Q8C22×D6111yescharacteristic
455C22×D4—21no—
456C22×D4C22×D6111yescharacteristic
457C23×C4C22×D6111yescharacteristic
458#137—1222no—
459#137—2441no—
460AGL(1,ℤ/8)—1222no—
461AGL(1,ℤ/8)—2441no—
462C2×Q16—1221no—
463C2×SD16—22no—
464C2×SD16—22no—
465C2×SD16—21no—
466C2×SD16—21no—
467C2×SD16—1221no—
468C2×SD16—1221no—
469C2×D8—1221no—
470#131—1222no—
471#131—1222no—
472C2×M16—22no—
473C2×M16—22no—
474C2×M16—611no—
475C2×M16—611no—
476C2×M16—611no—
477C2×M16—611no—
478C2×M16—611no—
479C2×M16—611no—
480C2×M16—1221no—
481C2×M16—1221no—
482C2×M16—1221no—
483C2×M16—1222no—
484C2×M16—1222no—
485C2×M16—2441no—
486C2×M16—2441no—
487C2×M16C22⋊D6111yescharacteristic
488C2×M16C22⋊D6111yescharacteristic
489C2×M16C22⋊D6111yescharacteristic
490C2×M16C22⋊D6111yescharacteristic
491C22×C8—1221no—
492C22×C8—1221no—
493C22×C8—1221no—
494C22×C8C22×D6111yescharacteristic
495C22×C8C22×D6111yescharacteristic
496#123—1221no—
497C22⋊Q8—21no—
498C22⋊Q8—21no—
499C22⋊Q8—21no—
500C22⋊Q8—21no—
501C22⋊Q8—611no—
502C22⋊Q8—611no—
503#121—21no—
504#121—21no—
505#121—21no—
506#121—21no—
507#121—611no—
508#121—611no—
509#120—1221no—
510C4×D4—1221no—
511C4×D4—1221no—
512#117—611no—
513C2×C4⋊C4—21no—
514C2×C4⋊C4C22×D6111yescharacteristic
515C2×C4⋊C4C22×D6111yescharacteristic
516C2×C22⋊C4—21no—
517C2×C22⋊C4—21no—
518#108—614no—
519#108—1222no—
520#108—1222no—
521#108—1222no—
522#107—21no—
523#107—21no—
524#107—1221no—
525#107—1221no—
526#106—1221no—
527#106—1221no—
528C4⋊C8—1221no—
529C4⋊C8—1221no—
530#103—21no—
531#103—21no—
532#103—1221no—
533#103—1221no—
534#103—1221no—
535#103—1221no—
536#102—21no—
537#102—21no—
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—21no—
553C24#1175822411yescharacteristic
554#41—1221no—
555#41—1221no—
556#41—1221no—
557#41—1221no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—21no—
562C2×Q8—21no—
563C2×Q8—21no—
564C2×Q8—611no—
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—21no—
568C2×D4—21no—
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—41no—
572C2×D4—41no—
573C2×D4—82no—
574C2×D4—611no—
575C2×D4—1221no—
576C2×D4—1221no—
577C2×D4—1221no—
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—2442no—
593SD16—42no—
594SD16—42no—
595SD16—2442no—
596SD16—2442no—
597D8—2442no—
598M16—22no—
599M16—22no—
600M16—22no—
601M16—22no—
602M16—612no—
603M16—612no—
604M16—1221no—
605M16—1221no—
606M16—1221no—
607M16—1221no—
608M16—1221no—
609M16—1221no—
610M16—1221no—
611M16—1221no—
612M16—1221no—
613M16—1221no—
614M16—2442no—
615M16—2442no—
616M16—2442no—
617C2×C8—21no—
618C2×C8—21no—
619C2×C8—1221no—
620C2×C8—1221no—
621C2×C8—1221no—
622C2×C8—1221no—
623C2×C8—1221no—
624C2×C8—1221no—
625C2×C8—2442no—
626C2×C8—2442no—
627C2×C8—2442no—
628C2×C8D4×D6112yes—
629C2×C8#1175822412yes—
630C2×C8C2×C22⋊D6111yescharacteristic
631C2×C8C2×C22⋊D6111yescharacteristic
632C2×C8C2×C22⋊D6111yescharacteristic
633C2×C8C2×C22⋊D6111yescharacteristic
634C4⋊C4—21no—
635C4⋊C4—21no—
636C4⋊C4—21no—
637C4⋊C4—21no—
638C4⋊C4—41no—
639C4⋊C4—41no—
640C4⋊C4—611no—
641C4⋊C4—611no—
642C4⋊C4—1221no—
643C4⋊C4—1221no—
644C22⋊C4—41no—
645C22⋊C4—41no—
646C22⋊C4—41no—
647C22⋊C4—41no—
648C22⋊C4—1221no—
649C22⋊C4—1221no—
650C22⋊C4—1221no—
651C22⋊C4—1221no—
652C22⋊C4—1221no—
653C42—1221no—
654C23—21no—
655C23—21no—
656C23—41no—
657C23—41no—
658C23—41no—
659C23—41no—
660C23—41no—
661C23—81no—
662C23—81no—
663C23—1221no—
664C23#1451974811yescharacteristic
665C23#1451974811yescharacteristic
666C23C2×#1175822411yescharacteristic
667Q8—41no—
668Q8—41no—
669Q8—41no—
670Q8—41no—
671Q8—1221no—
672Q8—1221no—
673D4—41no—
674D4—41no—
675D4—41no—
676D4—41no—
677D4—82no—
678D4—82no—
679D4—1221no—
680D4—1221no—
681D4—4881no—
682D4—4881no—
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—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—81no—
701C2×C4—81no—
702C2×C4—1221no—
703C2×C4—1221no—
704C2×C4—1221no—
705C2×C4—2441no—
706C2×C4—2441no—
707C2×C4#1451974811yescharacteristic
708C2×C4#1451974811yescharacteristic
709C2×C4C2×D4×D6111yescharacteristic
710C2×C4C2×D4×D6111yescharacteristic
711C2×C4C22×C22⋊D6111yescharacteristic
712C2×C4C2×#1175822411yescharacteristic
713C2×C4#1451982311yescharacteristic
714C2×C4#1451982411yescharacteristic
715C8—21no—
716C8—21no—
717C8—1222no—
718C8—1222no—
719C8—2441no—
720C8—2441no—
721C8—2441no—
722C8—2441no—
723C8#1451974912yes—
724C8#1451974912yes—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—81no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22—81no—
738C22—161no—
739C22—161no—
740C22—2441no—
741C22—2441no—
742C22—2441no—
743C22C2×#1451974811yescharacteristic
744C22#1684041811yescharacteristic
745C22#1684046411yescharacteristic
746C4—21no—
747C4—21no—
748C4—81no—
749C4—81no—
750C4—81no—
751C4—2441no—
752C4—2441no—
753C4—2441no—
754C4C2×#1451974911yescharacteristic
755C4#1684034011yescharacteristic
756C4#1684039611yescharacteristic
757C4#1684041211yescharacteristic
758C2—21no—
759C2—21no—
760C2—41no—
761C2—41no—
762C2—161no—
763C2—4881no—
764C2#2144926011yescharacteristic
765C2#2145554311yescharacteristic
766C2#2145555211yescharacteristic
subgroupG/H
centerC22C2×#14519748
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#468C2
socleC22×C61C2×#121
prime radical#21455434C2
hypercenterC2×#468D61
hypocenterC61#24805
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#468

Complements

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

NH ≅ G/Ntype
1. C2×#16840022C2semidirect
2. #21455445C2semidirect
4. #21454522C2semidirect
5. C2×#16839811C2semidirect
6. #21447184C2semidirect
7. #21447177C2semidirect
8. #21447119C2semidirect
9. #21447112C2semidirect
10. #21446724C2semidirect
11. #21446602C2semidirect
12. #21446288C2semidirect
13. #21446283C2semidirect
14. #21445884C2semidirect
15. C2×C61×#468C2semidirect
108. #14519713D4semidirect
378. C2×#468D61semidirect
452. C61#24805semidirect

Maximal subgroups

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

subgroupindex
C2×#168400222
#214554452
#214554342
#214545222
C2×#168398112
#214471842
#214471772
#214471192
#214471122
#214467242
#214466022
#214462882
#214462832
#214458842
C2×C61×#4682
#2480561