Finite Group Databasebeta

← #29682582

Subgroups — #29682582

Order 15616.

1118 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454406C211yesmaximal, characteristic, complemented
2C2×#16839765C211yesmaximal, characteristic
3#418×D61C211yesmaximal, characteristic
4C2×#100×D61C211yesmaximal, characteristic
5#21454235C211yesmaximal, characteristic, complemented
6#21446484C211yesmaximal, characteristic, complemented
7#21446483C211yesmaximal, characteristic, complemented
8#21446482C211yesmaximal, characteristic, complemented
9#21446481C211yesmaximal, characteristic, complemented
10#21446480C211yesmaximal, characteristic, complemented
11#21446479C211yesmaximal, characteristic, complemented
12#21446478C211yesmaximal, characteristic, complemented
13#21445556C211yesmaximal, characteristic, complemented
14#21445544C211yesmaximal, characteristic, complemented
15C61×#1931C211yesmaximal, characteristic, complemented
16C22×D4×D61C2211yescharacteristic
17C22×#11758189C2211yescharacteristic
18C2×M16×D61C2211yescharacteristic
19C2×M16×D61C2211yescharacteristic
20C2×M16×D61C2211yescharacteristic
21C2×#14519735C2211yescharacteristic
22#117×D61C2211yescharacteristic
23#16839805C2211yescharacteristic, complemented
24#16839804C2211yescharacteristic, complemented
25#16839803—21no—
26#16839802C2211yescharacteristic, complemented
27#16839801—21no—
28#16839799—21no—
29#16839797—21no—
30#16839768C2211yescharacteristic
31#16839767C2211yescharacteristic
32#16839766C2211yescharacteristic
33#16839765—21no—
34#16839765—21no—
35#16839765—21no—
36#16839765—21no—
37#16839765—21no—
38#16839765—21no—
39C2×#14519699C2211yescharacteristic
40C2×#14519698C2211yescharacteristic
41C2×#14519697C2211yescharacteristic
42#102×D61—21no—
43#102×D61—21no—
44C2×#14519694C2211yescharacteristic
45C2×#14519693C2211yescharacteristic
46C2×#14519693C2211yescharacteristic
47#100×D61C418yescomplemented
48#16839720C2211yescharacteristic, complemented
49#16839719—21no—
50#16839718C2211yescharacteristic, complemented
51#16839717C2211yescharacteristic, complemented
52#16839716—21no—
53#16839714—21no—
54C4×#11758189—21no—
55#16839531C2211yescharacteristic, complemented
56#16839530C2211yescharacteristic, complemented
57#16839530C2211yescharacteristic, complemented
58#16839527C2211yescharacteristic, complemented
59#16839526C2211yescharacteristic, complemented
60#16839526C2211yescharacteristic, complemented
61C61×#428C2211yescharacteristic, complemented
62C61×#418C2211yescharacteristic
63C2×#102×C61C2211yescharacteristic
64C2×#100×C61C2211yescharacteristic
65C61×#405C2211yescharacteristic, complemented
66C61×#343C2211yescharacteristic, complemented
67C61×#341C2211yescharacteristic, complemented
68C24×D61—21no—
69C22×D244C2311yescharacteristic
70C22×C22⋊D61—21no—
71C2×D4×D61—21no—
72C2×D4×D61—21no—
73C2×D4×D61—21no—
74C2×D4×D61—21no—
75C2×D4×D61—22no—
76C2×D4×D61—22no—
77C2×D4×D61—22no—
78C2×D4×D61C2×C414yes—
79C22×C4×D61C2311yescharacteristic
80C2×#11758194C2311yescharacteristic
81C2×#11758194C2311yescharacteristic
82C2×#11758194C2311yescharacteristic
83C2×#11758189—21no—
84C2×#11758189—21no—
85C2×#11758189—22no—
86C2×#11758189—22no—
87C2×#11758189—21no—
88C2×#11758189D411yescharacteristic
89C2×#11758189D411yescharacteristic
90C2×#11758189D411yescharacteristic
91C2×#11758189D411yescharacteristic
92M16×D61—22no—
93M16×D61—22no—
94M16×D61—22no—
95M16×D61—22no—
96M16×D61C2×C414yes—
97M16×D61C2×C414yes—
98C22×#92418C2311yescharacteristic
99C2×C8×D61—21no—
100C2×C8×D61—21no—
101C2×C8×D61—21no—
102#14519736C2311yescharacteristic
103#14519735—21no—
104#14519735—21no—
105#14519735—21no—
106#14519735—21no—
107#14519735D411yescharacteristic
108#14519735D411yescharacteristic
109#14519734—21no—
110#14519733—21no—
111C2×C4⋊Dic61C2311yescharacteristic
112C4⋊C4×D61D411yescharacteristic
113C4⋊C4×D61D411yescharacteristic
114C2×#11758198—21no—
115C22⋊C4×D61—21no—
116C2×C4×Dic61—21no—
117C42×D61—21no—
118#14519711—21no—
119#14519710—21no—
120#14519710—21no—
121#14519709—21no—
122#14519708—21no—
123#14519708—21no—
124#14519699—21no—
125#14519699—21no—
126#14519699—21no—
127#14519699—21no—
128#14519698—21no—
129#14519698—21no—
130#14519698—21no—
131#14519698—21no—
132#14519697—21no—
133#14519697—21no—
134#14519697—21no—
135#14519697—21no—
136#14519694C2×C414yescomplemented
137#14519693C2×C414yescomplemented
138#14519693C2×C414yescomplemented
139#14519688—21no—
140#14519687—21no—
141#14519687—21no—
142C4×#92418—21no—
143C8×Dic61—21no—
144C8×Dic61—21no—
145C22×D4×C61C2311yescharacteristic
146C2×M16×C61C2311yescharacteristic
147C2×M16×C61C2311yescharacteristic
148C2×M16×C61C2311yescharacteristic
149C22×C8×C61C2311yescharacteristic
150#117×C61C2311yescharacteristic
151C2×C4⋊C4×C61C2311yescharacteristic
152#107×C61—21no—
153#106×C61—21no—
154#102×C61—21no—
155#102×C61—21no—
156#102×C61—21no—
157#102×C61—21no—
158#100×C61C2×C414yescomplemented
159#97×C61—21no—
160C4×C8×C61—21no—
161C24×C61—21no—
162C23×D61—21no—
163C23×D61—24no—
164C23×D61—41no—
165C23×D61—41no—
166C23×D61—42no—
167C23×D61—82no—
168C23×D61—82no—
169C23×D61#4111yescharacteristic
170C2×D4×C61—21no—
171C2×D4×C61—21no—
172C2×D4×C61—21no—
173C2×D4×C61—21no—
174C2×D4×C61—21no—
175C2×D4×C61C22×C412yes—
176C22×C4×C61—21no—
177C22×C4×C61C2411yescharacteristic
178C2×C22⋊D61—24no—
179C2×C22⋊D61—41no—
180C2×C22⋊D61—41no—
181C2×C22⋊D61—42no—
182C22×Dic61—21no—
183C22×Dic61#4111yescharacteristic
184D4×D61—24no—
185D4×D61—24no—
186D4×D61—24no—
187D4×D61—24no—
188D4×D61—42no—
189D4×D61—42no—
190D4×D61—42no—
191D4×D61—42no—
192C2×D244—21no—
193C2×D244—21no—
194C2×D244—21no—
195C2×D244—21no—
196C2×D244—21no—
197C2×D244C22×C412yes—
198C2×C4×D61—21no—
199C2×C4×D61—21no—
200C2×C4×D61C22×C412yes—
201C2×C4×D61C2×D411yescharacteristic
202C2×C4×D61C2×D411yescharacteristic
203C2×C4×D61C2×D411yescharacteristic
204C2×C4×D61C2×D411yescharacteristic
205C2×C4×D61#4112yes—
206C2×C4×D61#4112yes—
207C2×C4×D61#4112yes—
208M16×C61—21no—
209M16×C61—21no—
210M16×C61—21no—
211M16×C61—21no—
212M16×C61C22×C412yes—
213M16×C61C22×C412yes—
214C2×C8×C61—21no—
215C2×C8×C61—21no—
216C2×C8×C61—21no—
217C2×C8×C61—21no—
218C2×C8×C61—21no—
219C2×C8×C61C2×D411yescharacteristic
220C2×C8×C61C2×D411yescharacteristic
221C4⋊C4×C61—21no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61C2×D411yescharacteristic
224C4⋊C4×C61C2×D411yescharacteristic
225C22⋊C4×C61—21no—
226C42×C61—21no—
227C22⋊Dic61—21no—
228#11758198—21no—
229#11758198—21no—
230#11758198—41no—
231#11758198—41no—
232C4⋊Dic61—21no—
233C4⋊Dic61—21no—
234C4⋊Dic61C2×D411yescharacteristic
235C4⋊Dic61C2×D411yescharacteristic
236#11758196—21no—
237#11758196—21no—
238C4×Dic61—21no—
239C4×Dic61—21no—
240C4×Dic61—21no—
241C4×Dic61—41no—
242C4×Dic61—41no—
243#11758194—21no—
244#11758194—21no—
245#11758194—21no—
246#11758194—21no—
247#11758194C22×C412yes—
248#11758194C22×C412yes—
249C2×#92418—21no—
250C2×#92418—21no—
251C2×#92418—21no—
252C2×#92418—21no—
253C2×#92418—21no—
254C2×#92418C2×D411yescharacteristic
255C2×#92418C2×D411yescharacteristic
256#11758189—24no—
257#11758189—24no—
258#11758189—22no—
259#11758189—22no—
260#11758189—22no—
261#11758189—22no—
262#11758189—42no—
263C8×D61—24no—
264C8×D61—24no—
265C8×D61—42no—
266C23×C61—22no—
267C23×C61—41no—
268C23×C61—41no—
269C23×C61—81no—
270C23×C61—81no—
271C23×C61C2×#4111yescharacteristic
272C22×D61—22no—
273C22×D61—41no—
274C22×D61—41no—
275C22×D61—41no—
276C22×D61—41no—
277C22×D61—44no—
278C22×D61—44no—
279C22×D61—82no—
280C22×D61—82no—
281C22×D61—82no—
282C22×D61—82no—
283C22×D61—88no—
284C22×D61—88no—
285C22×D61—81no—
286C22×D61—81no—
287C22×D61#11712yes—
288C22×D61#12111yescharacteristic
289C22×D61#12111yescharacteristic
290C22×D61#12612yes—
291D4×C61—22no—
292D4×C61—22no—
293D4×C61—41no—
294D4×C61—41no—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—41no—
298C2×C4×C61—81no—
299C2×C4×C61C23×C411yescharacteristic
300C2×C4×C61C22×D411yescharacteristic
301C2×C4×C61C22×D411yescharacteristic
302C2×C4×C61C2×#4111yescharacteristic
303C2×C4×C61C2×#4111yescharacteristic
304C2×C4×C61C2×#4111yescharacteristic
305C22⋊D61—44no—
306C22⋊D61—44no—
307C2×Dic61—21no—
308C2×Dic61—21no—
309C2×Dic61—41no—
310C2×Dic61—81no—
311C2×Dic61#11712yes—
312C2×Dic61#12111yescharacteristic
313C2×Dic61#12111yescharacteristic
314C2×Dic61#12612yes—
315D244—22no—
316D244—22no—
317D244—41no—
318D244—41no—
319C4×D61—81no—
320C4×D61—81no—
321C4×D61C4×D412yes—
322C4×D61C4×D412yes—
323C4×D61C4×D412yes—
324C4×D61C4×D412yes—
325C4×D61#12312yes—
326C4×D61#12312yes—
327C4×D61#12412yes—
328C4×D61#12412yes—
329C8×C61—22no—
330C8×C61—22no—
331C8×C61—21no—
332C8×C61—21no—
333C8×C61—41no—
334#92418—22no—
335#92418—22no—
336#92418—21no—
337#92418—21no—
338#92418—41no—
339#21078—611nomaximal, Sylow
340C22×C61—21no—
341C22×C61—21no—
342C22×C61—42no—
343C22×C61—82no—
344C22×C61—82no—
345C22×C61—81no—
346C22×C61—81no—
347C22×C61C2×#11711yescharacteristic
348C22×C61C2×#12111yescharacteristic
349C22×C61C2×#12611yescharacteristic
350C2×D61—21no—
351C2×D61—21no—
352C2×D61—21no—
353C2×D61—21no—
354C2×D61—42no—
355C2×D61—42no—
356C2×D61—42no—
357C2×D61—88no—
358C2×D61—88no—
359C2×D61—82no—
360C2×D61—81no—
361C2×D61—81no—
362C2×D61—82no—
363C2×D61#38812yes—
364C2×D61#38812yes—
365C4×C61—41no—
366C4×C61—41no—
367C4×C61—81no—
368C4×C61C2×C4×D411yescharacteristic
369C4×C61C2×C4×D411yescharacteristic
370C4×C61C2×#12311yescharacteristic
371C4×C61C2×#12411yescharacteristic
372Dic61—41no—
373Dic61—41no—
374Dic61—81no—
375Dic61#38812yes—
376Dic61#38812yes—
377#2911—611no—
378C2×#418—611no—
379C2×#418—611no—
380C22×#100—611no—
381#2873—611no—
382#1931—611no—
383#1931—611no—
384#1931—611no—
385#1931—611no—
386#1931—611no—
387#1931—611no—
388#1931—611no—
389#1931D6111yescharacteristic, complemented
390#1742—611no—
391#1738—611no—
392C2×C61—21no—
393C2×C61—21no—
394C2×C61—82no—
395C2×C61C2×#38811yescharacteristic
396C2×C61#306811yescharacteristic
397C2×C61#306811yescharacteristic
398D61—22no—
399D61—22no—
400D61—82no—
401C23×D4—611no—
402C22×M16—611no—
403C22×M16—611no—
404C22×M16—611no—
405C22×M16—611no—
406C2×#117—611no—
407C2×#117—611no—
408#428—611no—
409#428—611no—
410#428—611no—
411#428—1221no—
412#428—1221no—
413#428C2×D6111yescharacteristic, complemented
414#427—1221no—
415#427—1221no—
416#418—611no—
417#418—611no—
418#418—611no—
419#418—1221no—
420#418—1221no—
421#418—1221no—
422#418—1221no—
423#418—1221no—
424#418—1221no—
425#418C2×D6111yescharacteristic
426C2×#102—611no—
427C2×#102—611no—
428C2×#102—611no—
429C2×#102—1221no—
430C2×#102—1221no—
431C2×#102C2×D6111yescharacteristic
432C2×#100—611no—
433C2×#100—611no—
434C2×#100—611no—
435C2×#100—618no—
436C2×#100C2×D6111yescharacteristic
437#405—611no—
438#405—611no—
439#405—611no—
440#405—1221no—
441#405—1221no—
442#405C2×D6111yescharacteristic, complemented
443C4×M16—1221no—
444C4×M16—1221no—
445#343—611no—
446#343—611no—
447#343—611no—
448#343C2×D6111yescharacteristic, complemented
449#341—611no—
450#341—611no—
451#341—611no—
452#341C2×D6111yescharacteristic, complemented
453C61#2107811yescharacteristic, complemented, Sylow
454C25—1221no—
455C22×D4—614no—
456C22×D4—611no—
457C22×D4—1222no—
458C22×D4—1222no—
459C22×D4—1221no—
460C22×D4—1221no—
461C22×D4—1221no—
462C22×D4—1221no—
463C22×D4—1222no—
464C22×D4—1221no—
465C22×D4C22×D6111yescharacteristic
466C23×C4—611no—
467C2×M16—611no—
468C2×M16—611no—
469C2×M16—611no—
470C2×M16—611no—
471C2×M16—611no—
472C2×M16—611no—
473C2×M16—614no—
474C2×M16—614no—
475C2×M16—611no—
476C2×M16—1221no—
477C2×M16—1221no—
478C2×M16—1222no—
479C2×M16—1222no—
480C2×M16—1221no—
481C2×M16—1222no—
482C2×M16—1222no—
483C2×M16—1222no—
484C2×M16—1222no—
485C2×M16C22×D6111yescharacteristic
486C2×M16C22×D6111yescharacteristic
487C2×M16C22×D6111yescharacteristic
488C22×C8—611no—
489C22×C8—1221no—
490C22×C8—1221no—
491C22×C8—1221no—
492C22×C8C22×D6111yescharacteristic
493#117—611no—
494#117—611no—
495#117—611no—
496#117—1221no—
497#117—1221no—
498#117—1221no—
499#117—1221no—
500#117—1221no—
501#117—1221no—
502#117C22×D6111yescharacteristic
503C2×C4⋊C4—611no—
504C2×C4⋊C4—611no—
505C2×C4⋊C4—611no—
506C2×C4⋊C4C22×D6111yescharacteristic
507C2×C22⋊C4—1221no—
508C2×C22⋊C4—1221no—
509C2×C42—1221no—
510C2×C42—1221no—
511#107—21no—
512#107—1221no—
513#107—1221no—
514#107—1221no—
515#106—21no—
516#106—1221no—
517#106—1221no—
518#106—1221no—
519#102—21no—
520#102—21no—
521#102—21no—
522#102—21no—
523#102—1221no—
524#102—1221no—
525#102—1221no—
526#102—1221no—
527#102—1221no—
528#102—1221no—
529#102—1221no—
530#102—1221no—
531#102—1221no—
532#102—1221no—
533#102—1221no—
534#102—1221no—
535#100—614no—
536#100—614no—
537#100—614no—
538#100C4×D6114yescomplemented
539#97—21no—
540#97—1221no—
541#97—1221no—
542#97—1221no—
543C4×C8—21no—
544C4×C8—1221no—
545C4×C8—1221no—
546C4×C8—1221no—
547C24—21no—
548C24—611no—
549C24—1224no—
550C24—1221no—
551C24—4882no—
552C24—4882no—
553C24—2441no—
554C24—2441no—
555C24—2442no—
556C2×D4—21no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—612no—
562C2×D4—1224no—
563C2×D4—1224no—
564C2×D4—1224no—
565C2×D4—1224no—
566C2×D4—1224no—
567C2×D4—1221no—
568C2×D4—1221no—
569C2×D4—1221no—
570C2×D4—1221no—
571C2×D4—1221no—
572C2×D4—2442no—
573C2×D4—2442no—
574C2×D4—2442no—
575C2×D4—2442no—
576C2×D4—2441no—
577C2×D4—2441no—
578C2×D4—2442no—
579C2×D4C2×C4×D6112yes—
580C22×C4—21no—
581C22×C4—611no—
582C22×C4—612no—
583C22×C4—611no—
584C22×C4—611no—
585C22×C4—611no—
586C22×C4—611no—
587C22×C4—612no—
588C22×C4—612no—
589C22×C4—612no—
590C22×C4—1221no—
591C22×C4—1221no—
592C22×C4—1221no—
593C22×C4C23×D6111yescharacteristic
594M16—21no—
595M16—21no—
596M16—21no—
597M16—21no—
598M16—612no—
599M16—612no—
600M16—1224no—
601M16—1224no—
602M16—1222no—
603M16—1222no—
604M16—1222no—
605M16—1222no—
606M16—1221no—
607M16—1221no—
608M16—1221no—
609M16—1221no—
610M16—2442no—
611M16C2×C4×D6112yes—
612M16C2×C4×D6112yes—
613C2×C8—21no—
614C2×C8—21no—
615C2×C8—21no—
616C2×C8—21no—
617C2×C8—21no—
618C2×C8—611no—
619C2×C8—611no—
620C2×C8—1224no—
621C2×C8—1224no—
622C2×C8—1221no—
623C2×C8—1221no—
624C2×C8—1221no—
625C2×C8—1221no—
626C2×C8—1221no—
627C2×C8—2442no—
628C2×C8D4×D6111yescharacteristic
629C2×C8D4×D6111yescharacteristic
630C4⋊C4—21no—
631C4⋊C4—21no—
632C4⋊C4—611no—
633C4⋊C4—611no—
634C4⋊C4—1221no—
635C4⋊C4—1221no—
636C4⋊C4—1221no—
637C4⋊C4—1221no—
638C4⋊C4D4×D6111yescharacteristic
639C4⋊C4D4×D6111yescharacteristic
640C22⋊C4—21no—
641C22⋊C4—1221no—
642C22⋊C4—1221no—
643C22⋊C4—1221no—
644C22⋊C4—2441no—
645C22⋊C4—2441no—
646C42—21no—
647C42—1221no—
648C42—1221no—
649C42—1221no—
650C42—2441no—
651C42—2441no—
652C23—22no—
653C23—41no—
654C23—41no—
655C23—81no—
656C23—81no—
657C23—611no—
658C23—611no—
659C23—612no—
660C23—612no—
661C23—1222no—
662C23—4881no—
663C23—4881no—
664C23—4882no—
665C23—4882no—
666C23—4882no—
667C23—4882no—
668C23—4888no—
669C23—4888no—
670C23—2441no—
671C23—2441no—
672C23—2444no—
673C23—2444no—
674C23—2441no—
675C23—2441no—
676C23#41×D6111yescharacteristic
677D4—22no—
678D4—22no—
679D4—41no—
680D4—41no—
681D4—1222no—
682D4—1222no—
683D4—2444no—
684D4—2444no—
685D4—2441no—
686D4—2441no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—41no—
690C2×C4—81no—
691C2×C4—612no—
692C2×C4—611no—
693C2×C4—611no—
694C2×C4—612no—
695C2×C4—612no—
696C2×C4—612no—
697C2×C4—612no—
698C2×C4—612no—
699C2×C4—612no—
700C2×C4—612no—
701C2×C4—612no—
702C2×C4—612no—
703C2×C4—1221no—
704C2×C4—1221no—
705C2×C4—4881no—
706C2×C4—4881no—
707C2×C4—4881no—
708C2×C4—2441no—
709C2×C4C22×C4×D6111yescharacteristic
710C2×C4C2×D4×D6111yescharacteristic
711C2×C4C2×D4×D6111yescharacteristic
712C2×C4#41×D6111yescharacteristic
713C2×C4#41×D6111yescharacteristic
714C2×C4#41×D6111yescharacteristic
715C8—22no—
716C8—22no—
717C8—21no—
718C8—21no—
719C8—41no—
720C8—1222no—
721C8—1222no—
722C8—1221no—
723C8—1221no—
724C8—2441no—
725C22—21no—
726C22—21no—
727C22—42no—
728C22—82no—
729C22—82no—
730C22—81no—
731C22—81no—
732C22—612no—
733C22—612no—
734C22—1221no—
735C22—1221no—
736C22—1221no—
737C22—1221no—
738C22—4882no—
739C22—4882no—
740C22—4888no—
741C22—4888no—
742C22—4881no—
743C22—4881no—
744C22—2442no—
745C22—2442no—
746C22—2442no—
747C22#117×D6111yescharacteristic
748C22#121×D6111yescharacteristic
749C22#126×D6111yescharacteristic
750C4—41no—
751C4—41no—
752C4—81no—
753C4—612no—
754C4—612no—
755C4—4881no—
756C4—2441no—
757C4—2441no—
758C4C4×D4×D6111yescharacteristic
759C4C4×D4×D6111yescharacteristic
760C4#123×D6111yescharacteristic
761C4#124×D6111yescharacteristic
762C2—21no—
763C2—21no—
764C2—82no—
765C2—1222no—
766C2—1222no—
767C2—4882no—
768C2#388×D6111yescharacteristic
769C2#2145554211yescharacteristic
770C2#2145554511yescharacteristic
subgroupG/H
centerC22#121×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1931C2
socleC22×C61C2×#121
prime radicalC22×D4×D61C22
cosocleC22×C4×C61C24
hypercenter#1931D61
hypocenterC61#21078
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1931

Complements

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

NH ≅ G/Ntype
1. #21454406C2semidirect
5. #21454235C2semidirect
6. #21446484C2semidirect
7. #21446483C2semidirect
8. #21446482C2semidirect
9. #21446481C2semidirect
10. #21446480C2semidirect
11. #21446479C2semidirect
12. #21446478C2semidirect
13. #21445556C2semidirect
14. #21445544C2semidirect
15. C61×#1931C2semidirect
23. #16839805C22semidirect
24. #16839804C22semidirect
26. #16839802C22semidirect
47. #100×D61C4semidirect
48. #16839720C22semidirect
50. #16839718C22semidirect
51. #16839717C22semidirect
55. #16839531C22semidirect
56. #16839530C22semidirect
57. #16839530C22semidirect
58. #16839527C22semidirect
59. #16839526C22semidirect
60. #16839526C22semidirect
61. C61×#428C22semidirect
65. C61×#405C22semidirect
66. C61×#343C22semidirect
67. C61×#341C22semidirect
136. #14519694C2×C4semidirect
137. #14519693C2×C4semidirect
138. #14519693C2×C4semidirect
158. #100×C61C2×C4semidirect
389. #1931D61semidirect
413. #428C2×D61semidirect
442. #405C2×D61semidirect
448. #343C2×D61semidirect
452. #341C2×D61semidirect
453. C61#21078semidirect
538. #100C4×D61semidirect

Maximal subgroups

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

subgroupindex
#214544062
C2×#168397652
#418×D612
C2×#100×D612
#214542352
#214464842
#214464832
#214464822
#214464812
#214464802
#214464792
#214464782
#214455562
#214455442
C61×#19312
#2107861