Finite Group Databasebeta

← #29702538

Subgroups — #29702538

Order 15616.

864 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
1#21455272C211yesmaximal, characteristic
2C2×#16839881C211yesmaximal, characteristic, complemented
3C2×#16839880C211yesmaximal, characteristic, complemented
4#21454559C211yesmaximal, characteristic, complemented
5#21454386C211yesmaximal, characteristic, complemented
6#21446649C211yesmaximal, characteristic, complemented
7#21446593C211yesmaximal, characteristic, complemented
8#21446531C211yesmaximal, characteristic, complemented
9#21446149C211yesmaximal, characteristic, complemented
10#21446147C211yesmaximal, characteristic, complemented
11#21446096C211yesmaximal, characteristic, complemented
12#21446093C211yesmaximal, characteristic, complemented
13#21445677C211yesmaximal, characteristic, complemented
14#21445628C211yesmaximal, characteristic, complemented
15C61×#1937C211yesmaximal, characteristic, complemented
16C2×#14519799C2211yescharacteristic
17C2×#14519797C2211yescharacteristic
18C2×#14519785C2211yescharacteristic
19C2×#14519784C2211yescharacteristic
20C2×#14519783C2211yescharacteristic
21C2×#14519783C2211yescharacteristic
22#16840308C2211yescharacteristic
23#16840230C2211yescharacteristic
24#16839987C411yescharacteristic, complemented
25#16839983C411yescharacteristic, complemented
26#16839980C411yescharacteristic, complemented
27#16839976C411yescharacteristic, complemented
28#16839971C411yescharacteristic, complemented
29#16839966C411yescharacteristic, complemented
30#16839961C411yescharacteristic, complemented
31#16839956C411yescharacteristic, complemented
32#16839881—24no—
33#16839880—24no—
34#16839837—21no—
35#16839836—21no—
36#16839830—21no—
37#16839825—21no—
38C2×#14519713C2211yescharacteristic
39C2×#14519712C2211yescharacteristic
40#16839789C2211yescharacteristic
41#16839787—21no—
42#16839787—21no—
43#16839785C2211yescharacteristic
44#16839784—21no—
45C2×#14519706C2211yescharacteristic
46C2×#14519706C2211yescharacteristic
47C4⋊C8×D61—21no—
48C2×#14519705C2211yescharacteristic
49C2×#14519705C2211yescharacteristic
50C2×#14519704C2211yescharacteristic
51C2×#14519703C2211yescharacteristic
52C2×#14519703C2211yescharacteristic
53#16839756C2211yescharacteristic
54#16839730C2211yescharacteristic
55M16×Dic61C2211yescharacteristic
56C2×#14519688C2211yescharacteristic
57#16839608C2211yescharacteristic
58#16839526C2211yescharacteristic
59#16839521C2211yescharacteristic
60#16839516C2211yescharacteristic
61#16839516C2211yescharacteristic
62C61×#424C2211yescharacteristic
63C2×#104×C61C2211yescharacteristic
64C61×#416C2211yescharacteristic
65C61×#408C2211yescharacteristic
66C2×C4×C8×C61C2211yescharacteristic
67C61×#341C2211yescharacteristic
68C61×#339C2211yescharacteristic
69C2×#11758222C2311yescharacteristic
70C2×#11758222C2311yescharacteristic
71#14519799—22no—
72#14519799—22no—
73#14519797—22no—
74#14519797—22no—
75C2×Dic244C2×C411yescharacteristic
76C2×#11758202C2×C411yescharacteristic
77C2×#11758190C2×C411yescharacteristic
78C2×#11758190C2×C411yescharacteristic
79C2×#11758200C2×C411yescharacteristic
80C2×#11758201C2×C411yescharacteristic
81C2×D488C2×C411yescharacteristic
82C2×#11758199C2×C411yescharacteristic
83#14519785—22no—
84#14519785—41no—
85#14519784—22no—
86#14519784—41no—
87#14519783—22no—
88#14519783—22no—
89#14519783—41no—
90#14519783—41no—
91C2×#11758194—21no—
92C2×#11758194C2311yescharacteristic
93C2×#11758194C2311yescharacteristic
94C2×#11758189—21no—
95C2×#11758189—21no—
96C2×#11758189—21no—
97C22×#92418—21no—
98C22×#92418C2311yescharacteristic
99C22×#92418C2311yescharacteristic
100C2×C8×D61—21no—
101C2×C8×D61—21no—
102C2×C8×D61—21no—
103#14519775C2×C411yescharacteristic
104#14519773C2×C411yescharacteristic
105#14519766C2×C411yescharacteristic
106#14519764C2×C411yescharacteristic
107#14519749—21no—
108#14519749—21no—
109#14519742C2×C411yescharacteristic
110#14519742C2×C411yescharacteristic
111#14519739C2×C411yescharacteristic
112#14519739C2×C411yescharacteristic
113C4×C22⋊D61—21no—
114C4×C22⋊D61—21no—
115#14519737—21no—
116#14519737—21no—
117#14519734—21no—
118C2×C4×Dic61C2311yescharacteristic
119C2×C4×Dic61C2311yescharacteristic
120C42×D61—21no—
121#14519713—22no—
122#14519712—22no—
123C4⋊#92418—21no—
124C4⋊#92418—21no—
125#14519706—21no—
126#14519706—21no—
127#14519706C2×C411yescharacteristic
128#14519706C2×C411yescharacteristic
129#14519706C2×C411yescharacteristic
130#14519706C2×C411yescharacteristic
131#14519706D411yescharacteristic
132#14519706D411yescharacteristic
133#14519706D411yescharacteristic
134#14519706D411yescharacteristic
135#14519705—22no—
136#14519705D414yescomplemented
137#14519704—41no—
138#14519703—22no—
139#14519703—41no—
140#14519700C2×C411yescharacteristic
141#14519700C2×C411yescharacteristic
142#14519697C2×C411yescharacteristic
143#14519697C2×C411yescharacteristic
144#14519689—21no—
145#14519689—21no—
146#14519688—22no—
147#14519687—21no—
148C8×Dic61—21no—
149#14519684—21no—
150#14519684—21no—
151C2×#41×C61C2311yescharacteristic
152C2×M16×C61C2311yescharacteristic
153C2×M16×C61C2311yescharacteristic
154C22×C8×C61C2311yescharacteristic
155C22×C8×C61C2311yescharacteristic
156#117×C61C2311yescharacteristic
157C2×C42×C61C2311yescharacteristic
158C4⋊C8×C61—21no—
159C4⋊C8×C61—21no—
160#104×C61—22no—
161#103×C61C2×C411yescharacteristic
162#103×C61C2×C411yescharacteristic
163#102×C61C2×C411yescharacteristic
164#102×C61C2×C411yescharacteristic
165C22⋊C8×C61—21no—
166C22⋊C8×C61—21no—
167C4×C8×C61—22no—
168#41×C61—21no—
169#41×C61—21no—
170#41×C61—21no—
171#41×C61—21no—
172C2×Q8×C61C22×C411yescharacteristic
173C2×D4×C61—21no—
174C2×D4×C61C22×C411yescharacteristic
175C22×C4×C61—21no—
176C22×C4×C61—21no—
177C22×C4×C61C2411yescharacteristic
178C2×C22⋊D61—21no—
179C2×C22⋊D61—21no—
180C2×C22⋊D61—21no—
181C2×C22⋊D61—21no—
182C22×Dic61—21no—
183C22×Dic61#4111yescharacteristic
184C22×Dic61#4111yescharacteristic
185#11758222—21no—
186#11758222—21no—
187#11758222—21no—
188#11758222—21no—
189#11758222—21no—
190#11758222—21no—
191#11758222C2×D412yes—
192#11758222#4112yes—
193C2×D244C22×C411yescharacteristic
194C2×D244C22×C411yescharacteristic
195C2×C4×D61—21no—
196C2×C4×D61—21no—
197C2×C4×D61—21no—
198C2×C4×D61—21no—
199C2×Dic122C22×C411yescharacteristic
200C2×Dic122C22×C411yescharacteristic
201M16×C61—21no—
202M16×C61—21no—
203M16×C61—21no—
204M16×C61—21no—
205C2×C8×C61—21no—
206C2×C8×C61—21no—
207C2×C8×C61—21no—
208C2×C8×C61—21no—
209C2×C8×C61—21no—
210C2×C8×C61—21no—
211C2×C8×C61C22×C411yescharacteristic
212C2×C8×C61C22×C411yescharacteristic
213C2×C8×C61C2×D411yescharacteristic
214C2×C8×C61C2×D411yescharacteristic
215C4⋊C4×C61C22×C411yescharacteristic
216C4⋊C4×C61C22×C411yescharacteristic
217C22⋊C4×C61—21no—
218C42×C61—21no—
219C42×C61—21no—
220C42×C61C2×D412yes—
221C22⋊Dic61—21no—
222C22⋊Dic61—21no—
223#11758202—22no—
224#11758201—22no—
225#11758200—22no—
226#11758199—22no—
227#11758198—21no—
228#11758198—21no—
229#11758198—21no—
230#11758198—21no—
231#11758196—21no—
232#11758196—21no—
233#11758196—21no—
234#11758196—21no—
235C4×Dic61—21no—
236C4×Dic61—21no—
237C4×Dic61—21no—
238C4×Dic61—21no—
239C4×Dic61C22×C411yescharacteristic
240C4×Dic61C22×C411yescharacteristic
241C4×Dic61C2×D411yescharacteristic
242C4×Dic61C2×D411yescharacteristic
243#11758194—21no—
244#11758194—21no—
245#11758194—21no—
246#11758194—42no—
247#11758194C2×D412yes—
248C2×#92418—21no—
249C2×#92418—21no—
250C2×#92418—21no—
251C2×#92418—21no—
252C2×#92418—21no—
253C2×#92418—21no—
254C2×#92418—42no—
255C2×#92418C22×C411yescharacteristic
256C2×#92418C22×C411yescharacteristic
257C2×#92418C2×D411yescharacteristic
258C2×#92418C2×D411yescharacteristic
259Dic244—22no—
260D488—22no—
261#11758190—22no—
262#11758190—22no—
263#11758189—42no—
264#11758189—42no—
265#11758189—42no—
266C8×D61—42no—
267C8×D61—42no—
268C8×D61—42no—
269C23×C61—21no—
270C23×C61C2×#4111yescharacteristic
271C22×D61—21no—
272C22×D61—21no—
273Q8×C61—21no—
274Q8×C61—21no—
275D4×C61—21no—
276D4×C61—21no—
277D4×C61—41no—
278D4×C61—41no—
279C2×C4×C61—21no—
280C2×C4×C61—21no—
281C2×C4×C61—21no—
282C2×C4×C61—22no—
283C2×C4×C61—41no—
284C2×C4×C61—41no—
285C2×C4×C61—41no—
286C2×C4×C61—41no—
287C2×C4×C61C23×C411yescharacteristic
288C2×C4×C61C22×D411yescharacteristic
289C2×C4×C61C22×D411yescharacteristic
290C2×C4×C61C2×#4111yescharacteristic
291C2×C4×C61H(5,𝔽2)11yescharacteristic
292C2×C4×C612−1+411yescharacteristic
293C22⋊D61—22no—
294C22⋊D61—22no—
295C22⋊D61—42no—
296C22⋊D61—41no—
297C22⋊D61—41no—
298C22⋊D61—81no—
299C2×Dic61—21no—
300C2×Dic61—21no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61C4×D411yescharacteristic
307C2×Dic61C4×D411yescharacteristic
308C2×Dic61C4×D411yescharacteristic
309C2×Dic61C4×D411yescharacteristic
310D244—21no—
311D244—21no—
312D244—21no—
313D244C4×D412yes—
314C4×D61—22no—
315C4×D61—22no—
316C4×D61—42no—
317C4×D61—41no—
318C4×D61—41no—
319C4×D61—81no—
320Dic122—21no—
321Dic122—21no—
322Dic122—21no—
323Dic122C4×D412yes—
324C8×C61—21no—
325C8×C61—21no—
326C8×C61—21no—
327C8×C61—21no—
328C8×C61—41no—
329C8×C61—41no—
330#92418—21no—
331#92418—21no—
332#92418—21no—
333#92418—22no—
334#92418—21no—
335#92418—41no—
336#23017—611nomaximal, Sylow
337C22×C61—21no—
338C22×C61—21no—
339C22×C61—41no—
340C22×C61—41no—
341C22×C61—41no—
342C22×C61C2×C4×D411yescharacteristic
343C22×C61#54711yescharacteristic
344C22×C61#55311yescharacteristic
345C2×D61—22no—
346C2×D61—41no—
347C2×D61—41no—
348C2×D61—41no—
349C2×D61—41no—
350C2×D61—41no—
351C4×C61—42no—
352C4×C61—41no—
353C4×C61—41no—
354C4×C61—41no—
355C4×C61C2×C4×D411yescharacteristic
356C4×C61#52011yescharacteristic
357C4×C61D4211yescharacteristic
358C4×C61#54811yescharacteristic
359Dic61—22no—
360Dic61—21no—
361Dic61—21no—
362Dic61—21no—
363Dic61—21no—
364Dic61—41no—
365Dic61—81no—
366#3035—611no—
367C2×#444—611no—
368C2×#443—611no—
369#2935—611no—
370#2906—611no—
371#1963—611no—
372#1950—611no—
373#1938—611no—
374#1937D6111yescharacteristic, complemented
375#1876—611no—
376#1876—611no—
377#1866—611no—
378#1866—611no—
379#1768—611no—
380#1759—611no—
381C2×C61—21no—
382C2×C61—21no—
383C2×C61—81no—
384C2×C61#236111yescharacteristic
385C2×C61#295511yescharacteristic
386C2×C61#295711yescharacteristic
387D61—42no—
388D61—81no—
389C2×#135—611no—
390C2×#135—611no—
391C2×#131—611no—
392C2×#131—611no—
393C2×#131—611no—
394C2×#131—611no—
395#532—611no—
396C4×#41—611no—
397#464—611no—
398#464—611no—
399#463—611no—
400#463—611no—
401#462—611no—
402#461—611no—
403#460—611no—
404#459—611no—
405#444—1224no—
406#443—1224no—
407#436—1221no—
408#435—1221no—
409#435—1221no—
410C8×D4—1221no—
411C2×#108—611no—
412C2×#108—611no—
413#424—611no—
414#424—1221no—
415#424—1221no—
416#424C2×D6111yescharacteristic
417#423—611no—
418#423—1221no—
419C2×C4⋊C8—611no—
420C2×C4⋊C8—611no—
421C2×C4⋊C8—1221no—
422C2×#104—611no—
423C2×#104—611no—
424C2×#104—611no—
425C2×#104—611no—
426C2×#104—611no—
427C2×#104C2×D6111yescharacteristic
428#416—611no—
429#416C2×D6111yescharacteristic
430#408—611no—
431#408C2×D6111yescharacteristic
432C4×M16—611no—
433C2×#97—611no—
434C2×C4×C8C2×D6111yescharacteristic
435#376—611no—
436#341—611no—
437#341C2×D6111yescharacteristic
438#339—611no—
439#339C2×D6111yescharacteristic
440#336—611no—
441#336—611no—
442C61#2301711yescharacteristic, complemented, Sylow
443C2×#41—611no—
444C2×#41—611no—
445C2×#41C22×D6111yescharacteristic
446#135—1222no—
447#135—1222no—
448#135—1222no—
449#135—1222no—
450C2×Q16—611no—
451C2×Q16—611no—
452C2×SD16—611no—
453C2×SD16—611no—
454C2×SD16—611no—
455C2×SD16—611no—
456C2×D8—611no—
457C2×D8—611no—
458#131—1222no—
459#131—1222no—
460#131—1222no—
461#131—1222no—
462#131—2441no—
463#131—2441no—
464#131—2441no—
465#131—2441no—
466C2×M16—611no—
467C2×M16—611no—
468C2×M16—1221no—
469C2×M16—1221no—
470C2×M16—1221no—
471C2×M16—1221no—
472C2×M16C22×D6111yescharacteristic
473C2×M16C22×D6111yescharacteristic
474C22×C8—611no—
475C22×C8—611no—
476C22×C8—1221no—
477C22×C8—1221no—
478C22×C8—1221no—
479C22×C8—1221no—
480C22×C8C22×D6111yescharacteristic
481C22×C8C22×D6111yescharacteristic
482C4⋊Q8—611no—
483#127—611no—
484#124—611no—
485#124—611no—
486#121—1221no—
487#121—1221no—
488C4×Q8—611no—
489C4×Q8—611no—
490C4×D4—611no—
491C4×D4—611no—
492C4×D4—1221no—
493C4×D4—1221no—
494C4×D4—1221no—
495C4×D4—1221no—
496#117—1221no—
497#117C22×D6111yescharacteristic
498C2×C42—611no—
499C2×C42—611no—
500C2×C42—1221no—
501C2×C42C22×D6111yescharacteristic
502#108—1222no—
503#108—1222no—
504C4⋊C8—21no—
505C4⋊C8—21no—
506C4⋊C8—611no—
507C4⋊C8—611no—
508C4⋊C8—611no—
509C4⋊C8—611no—
510C4⋊C8—611no—
511C4⋊C8—611no—
512C4⋊C8—611no—
513C4⋊C8—611no—
514C4⋊C8—1221no—
515C4⋊C8—1221no—
516C4⋊C8—1221no—
517C4⋊C8—1221no—
518#104—22no—
519#104—614no—
520#104—1222no—
521#104—1222no—
522#104—2441no—
523#104—2441no—
524#103—611no—
525#103—611no—
526#103C4×D6111yescharacteristic
527#103C4×D6111yescharacteristic
528#102—611no—
529#102—611no—
530#102C4×D6111yescharacteristic
531#102C4×D6111yescharacteristic
532C22⋊C8—21no—
533C22⋊C8—21no—
534C22⋊C8—1221no—
535C22⋊C8—1221no—
536#97—1221no—
537#97—1222no—
538C4×C8—22no—
539C4×C8—1221no—
540#95—1221no—
541#95—1221no—
542#41—21no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—612no—
547#41—612no—
548#41—1221no—
549#41—1221no—
550#41—1221no—
551#41—1221no—
552#41—1221no—
553#41—1221no—
554C2×Q8—611no—
555C2×Q8—611no—
556C2×Q8C2×C4×D6111yescharacteristic
557C2×D4—21no—
558C2×D4—611no—
559C2×D4—611no—
560C2×D4—1221no—
561C2×D4—1221no—
562C2×D4—1221no—
563C2×D4—1221no—
564C2×D4C2×C4×D6111yescharacteristic
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—611no—
568C22×C4—611no—
569C22×C4—1221no—
570C22×C4—1221no—
571C22×C4—1221no—
572C22×C4—1221no—
573C22×C4—1221no—
574C22×C4C23×D6111yescharacteristic
575Q16—1222no—
576Q16—1222no—
577SD16—1222no—
578SD16—1222no—
579SD16—1222no—
580SD16—1222no—
581D8—1222no—
582D8—1222no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—612no—
588M16—1221no—
589M16—1221no—
590M16—1221no—
591M16—2442no—
592M16—2442no—
593M16—2442no—
594M16—2442no—
595C2×C8—21no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—611no—
602C2×C8—611no—
603C2×C8—611no—
604C2×C8—611no—
605C2×C8—1221no—
606C2×C8—1221no—
607C2×C8—1221no—
608C2×C8—1221no—
609C2×C8—1221no—
610C2×C8—1221no—
611C2×C8—2442no—
612C2×C8—2442no—
613C2×C8—2442no—
614C2×C8—2442no—
615C2×C8C2×C4×D6111yescharacteristic
616C2×C8C2×C4×D6111yescharacteristic
617C2×C8D4×D6111yescharacteristic
618C2×C8D4×D6111yescharacteristic
619C4⋊C4—1221no—
620C4⋊C4—1221no—
621C4⋊C4—1221no—
622C4⋊C4—1221no—
623C4⋊C4C2×C4×D6111yescharacteristic
624C4⋊C4C2×C4×D6111yescharacteristic
625C22⋊C4—21no—
626C22⋊C4—1221no—
627C22⋊C4—1221no—
628C22⋊C4—1221no—
629C22⋊C4—1221no—
630C22⋊C4—1221no—
631C22⋊C4—1221no—
632C42—21no—
633C42—21no—
634C42—611no—
635C42—611no—
636C42—611no—
637C42—611no—
638C42—1221no—
639C42—1221no—
640C42—1221no—
641C42—1221no—
642C42D4×D6112yes—
643C23—21no—
644C23—1221no—
645C23—1221no—
646C23#41×D6111yescharacteristic
647Q8—21no—
648Q8—21no—
649Q8—612no—
650Q8—1221no—
651Q8—1221no—
652Q8—1221no—
653D4—21no—
654D4—21no—
655D4—41no—
656D4—41no—
657D4—612no—
658D4—1222no—
659D4—1222no—
660D4—1221no—
661D4—1221no—
662D4—1221no—
663D4—4881no—
664D4—2442no—
665D4—2441no—
666D4—2441no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—611no—
676C2×C4—611no—
677C2×C4—611no—
678C2×C4—611no—
679C2×C4—1221no—
680C2×C4—1222no—
681C2×C4—1222no—
682C2×C4—1221no—
683C2×C4—4881no—
684C2×C4—2442no—
685C2×C4—2441no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4—2441no—
689C2×C4—2441no—
690C2×C4—2441no—
691C2×C4—2441no—
692C2×C4C22×C4×D6111yescharacteristic
693C2×C4C2×D4×D6111yescharacteristic
694C2×C4C2×D4×D6111yescharacteristic
695C2×C4#41×D6111yescharacteristic
696C2×C4#1451982311yescharacteristic
697C2×C4#1451982411yescharacteristic
698C8—21no—
699C8—21no—
700C8—21no—
701C8—21no—
702C8—41no—
703C8—41no—
704C8—1221no—
705C8—1221no—
706C8—1221no—
707C8—1221no—
708C8—1222no—
709C8—2441no—
710C22—21no—
711C22—21no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—1222no—
716C22—2441no—
717C22—2441no—
718C22—2441no—
719C22—2441no—
720C22—2441no—
721C22C4×D4×D6111yescharacteristic
722C22#1684041011yescharacteristic
723C22#1684046311yescharacteristic
724C4—42no—
725C4—41no—
726C4—41no—
727C4—41no—
728C4—1221no—
729C4—1221no—
730C4—1222no—
731C4—1221no—
732C4—1221no—
733C4—4881no—
734C4—2441no—
735C4C4×D4×D6111yescharacteristic
736C4#1684024211yescharacteristic
737C4#1684039611yescharacteristic
738C4#1684042011yescharacteristic
739C2—21no—
740C2—21no—
741C2—81no—
742C2—4881no—
743C2—2442no—
744C2#2144883211yescharacteristic
745C2#2145471711yescharacteristic
746C2#2145473111yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1937C2
socleC22×C61C2×C4×D4
prime radical#21455272C2
cosocleC22×C4×C61C24
hypercenter#1937D61
hypocenterC61#23017
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1937

Complements

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

NH ≅ G/Ntype
2. C2×#16839881C2semidirect
3. C2×#16839880C2semidirect
4. #21454559C2semidirect
5. #21454386C2semidirect
6. #21446649C2semidirect
7. #21446593C2semidirect
8. #21446531C2semidirect
9. #21446149C2semidirect
10. #21446147C2semidirect
11. #21446096C2semidirect
12. #21446093C2semidirect
13. #21445677C2semidirect
14. #21445628C2semidirect
15. C61×#1937C2semidirect
24. #16839987C4semidirect
25. #16839983C4semidirect
26. #16839980C4semidirect
27. #16839976C4semidirect
28. #16839971C4semidirect
29. #16839966C4semidirect
30. #16839961C4semidirect
31. #16839956C4semidirect
136. #14519705D4semidirect
374. #1937D61semidirect
442. C61#23017semidirect

Maximal subgroups

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

subgroupindex
#214552722
C2×#168398812
C2×#168398802
#214545592
#214543862
#214466492
#214465932
#214465312
#214461492
#214461472
#214460962
#214460932
#214456772
#214456282
C61×#19372
#2301761