Finite Group Databasebeta

← #29684051

Subgroups — #29684051

Order 15616.

1562 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
1#21459146C211yesmaximal, characteristic
2C2×#16839777C212yesmaximal, complemented
3C2×#104×D61C212yesmaximal, complemented
4#21454236C211yesmaximal, characteristic, complemented
5#21448299C211yesmaximal, characteristic, complemented
6#21446739C211yesmaximal, characteristic, complemented
7#21446738C211yesmaximal, characteristic, complemented
8#21446737C211yesmaximal, characteristic, complemented
9#21446736C212yesmaximal, complemented
10#21446736C212yesmaximal, complemented
11C61×#1980C211yesmaximal, characteristic, complemented
12C2×#41×D61C2212yes—
13C2×M16×D61C2212yes—
14#16840339—21no—
15#16840339—21no—
16#16840337C412yescomplemented
17#16840332C412yescomplemented
18#16840330C412yescomplemented
19#16840325C412yescomplemented
20#16840320—21no—
21#16840320—21no—
22#16840312C2211yescharacteristic
23#16840308C2212yes—
24#16840271—22no—
25#16840271—22no—
26C2×#14519734C2211yescharacteristic
27C2×#14519734C2211yescharacteristic
28C2×C42×D61C2211yescharacteristic
29#16839777—28no—
30C2×#14519705C2212yescomplemented
31C2×#14519705C2212yescomplemented
32C2×#14519704C2212yescomplemented
33C2×#14519704C2212yescomplemented
34C2×#14519703C2212yescomplemented
35C2×#14519703C2212yescomplemented
36#104×D61—28no—
37#16839719—22no—
38#16839716—22no—
39C4×#11758194C2211yescharacteristic, complemented
40M16×Dic61C2212yescomplemented
41#16839659—21no—
42#16839657—21no—
43#16839636—21no—
44#16839633—21no—
45C4×#11758196C2211yescharacteristic, complemented
46C4×#11758196C2211yescharacteristic, complemented
47C4×C4⋊Dic61C2211yescharacteristic, complemented
48C61×#532C2211yescharacteristic
49C2×#104×C61C2212yescomplemented
50C2×#104×C61C2212yescomplemented
51C4×M16×C61C2211yescharacteristic, complemented
52C4×C4⋊C4×C61C2211yescharacteristic, complemented
53C2×#11758226C2×C412yes—
54C2×#11758222—22no—
55C2×#11758222C2312yes—
56C2×#11758224—22no—
57C2×#11758224C2×C412yes—
58#41×D61—24no—
59#41×D61—24no—
60#41×D61—24no—
61#41×D61—24no—
62C2×Q8×D61C2×C412yes—
63C2×D4×D61—22no—
64C2×D4×D61C2×C412yes—
65C22×C4×D61—22no—
66C22×C4×D61—21no—
67C22×C4×D61C2311yescharacteristic
68C2×#11758194C2312yes—
69C2×#11758189—22no—
70M16×D61—24no—
71M16×D61D418yescomplemented
72C2×C8×D61—22no—
73#14519777C2×C411yescharacteristic, complemented
74#14519775C2×C412yescomplemented
75#14519774C2×C411yescharacteristic, complemented
76#14519773C2×C412yescomplemented
77#14519766C2×C412yescomplemented
78#14519765C2×C412yescomplemented
79#14519764C2×C412yescomplemented
80#14519762—22no—
81#14519762—22no—
82#14519759—22no—
83#14519759—22no—
84#14519755—22no—
85#14519755—22no—
86#14519754—22no—
87#14519754—22no—
88#14519751—21no—
89#14519751—21no—
90#14519750—22no—
91#14519750—22no—
92#14519749—22no—
93#14519749—22no—
94#14519749—22no—
95#14519749—22no—
96#14519747—22no—
97#14519747—22no—
98#14519745—22no—
99#14519745—22no—
100C4×D244—21no—
101C4×D244—21no—
102C4×C22⋊D61—22no—
103C4×C22⋊D61—22no—
104#14519734—24no—
105#14519734C2×C412yes—
106#14519734C2×C412yes—
107#14519734D412yes—
108#14519734D412yes—
109C2×C4⋊Dic61—21no—
110C2×#11758196—21no—
111C2×#11758196—21no—
112C2×#11758196—21no—
113C2×#11758196D411yescharacteristic
114C2×#11758196D411yescharacteristic
115C2×#11758198—21no—
116C2×#11758198D411yescharacteristic
117C2×#11758198D411yescharacteristic
118C2×C4×Dic61—21no—
119C2×C4×Dic61C2311yescharacteristic
120C2×C4×Dic61C2311yescharacteristic
121C2×C4×Dic61C2311yescharacteristic
122C42×D61—24no—
123#14519705—24no—
124#14519705—24no—
125#14519704—24no—
126#14519704—24no—
127#14519703—24no—
128#14519703—24no—
129#14519688—21no—
130#14519687—22no—
131C4×#92418—21no—
132C8×Dic61—22no—
133#14519684—21no—
134#14519684—21no—
135#14519684—21no—
136C2×#41×C61C2312yes—
137C2×M16×C61C2312yes—
138C4⋊Q8×C61C2×C411yescharacteristic, complemented
139#127×C61C2×C411yescharacteristic, complemented
140#124×C61C2×C412yescomplemented
141#121×C61—21no—
142#121×C61—21no—
143C4×D4×C61—21no—
144C4×D4×C61—21no—
145C2×C4⋊C4×C61—21no—
146C2×C42×C61C2311yescharacteristic
147C2×C42×C61C2311yescharacteristic
148C2×C42×C61C2311yescharacteristic
149#104×C61—24no—
150#104×C61—24no—
151#97×C61—21no—
152C4×C8×C61—21no—
153#95×C61—21no—
154C23×D61—22no—
155C23×D61C2×D411yescharacteristic
156#41×C61—22no—
157#41×C61—22no—
158#41×C61—22no—
159#41×C61—22no—
160C2×Q8×C61C22×C412yes—
161C2×D4×C61—22no—
162C2×D4×C61—21no—
163C2×D4×C61—21no—
164C2×D4×C61C22×C412yes—
165C22×C4×C61—21no—
166C22×C4×C61—22no—
167C22×C4×C61—21no—
168C22×C4×C61C2×D411yescharacteristic
169C22×C4×C61C2×D411yescharacteristic
170C22×C4×C61C2411yescharacteristic
171C2×C22⋊D61—22no—
172C2×C22⋊D61—22no—
173C2×C22⋊D61—22no—
174C2×C22⋊D61—22no—
175C2×C22⋊D61—22no—
176C22×Dic61—21no—
177C22×Dic61—22no—
178C22×Dic61—21no—
179C22×Dic61C2×D411yescharacteristic
180C22×Dic61C2×D411yescharacteristic
181C22×Dic61C2×D411yescharacteristic
182#11758226—24no—
183#11758226—24no—
184Q8×D61—24no—
185Q8×D61—24no—
186#11758224—24no—
187#11758224—24no—
188#11758224—44no—
189#11758224—44no—
190D4×D61—24no—
191D4×D61—24no—
192D4×D61—44no—
193D4×D61—44no—
194#11758222—22no—
195#11758222—22no—
196#11758222—22no—
197#11758222—22no—
198#11758222—44no—
199#11758222—44no—
200C2×D244—22no—
201C2×D244—21no—
202C2×D244—21no—
203C2×D244C22×C412yes—
204C2×C4×D61—22no—
205C2×C4×D61—22no—
206C2×C4×D61—22no—
207C2×C4×D61—42no—
208C2×C4×D61—42no—
209C2×C4×D61—42no—
210C2×C4×D61—44no—
211C2×C4×D61—44no—
212C2×C4×D61C22×C412yes—
213C2×C4×D61C2×D414yes—
214C2×C4×D61C2×D412yes—
215C2×C4×D61#4114yes—
216C2×Dic122—22no—
217C2×Dic122C22×C412yes—
218M16×C61—22no—
219M16×C61C2×D414yes—
220C2×C8×C61—22no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—42no—
224C22⋊C4×C61—22no—
225C22⋊C4×C61—22no—
226C42×C61—22no—
227C42×C61—22no—
228C42×C61C22×C411yescharacteristic
229C42×C61C22×C411yescharacteristic
230C42×C61C2×D411yescharacteristic
231C42×C61C2×D411yescharacteristic
232C22⋊Dic61—22no—
233C22⋊Dic61—22no—
234#11758198—22no—
235#11758198—22no—
236#11758198—22no—
237#11758198—22no—
238#11758198—42no—
239#11758198C22⋊C412yes—
240#11758198C22⋊C412yes—
241#11758198C22⋊C412yes—
242#11758198C22⋊C412yes—
243C4⋊Dic61—21no—
244C4⋊Dic61—21no—
245C4⋊Dic61—42no—
246#11758196—22no—
247#11758196—22no—
248#11758196—42no—
249#11758196—42no—
250#11758196—42no—
251#11758196C22⋊C412yes—
252#11758196C22⋊C412yes—
253#11758196C22⋊C412yes—
254#11758196C22⋊C412yes—
255C4×Dic61—22no—
256C4×Dic61—22no—
257C4×Dic61—42no—
258C4×Dic61C22×C412yes—
259C4×Dic61C2×D412yes—
260#11758194—22no—
261#11758194C2×D414yes—
262C2×#92418—22no—
263#11758189—28no—
264C8×D61—28no—
265C23×C61—22no—
266C23×C61C22×D411yescharacteristic
267C22×D61—22no—
268C22×D61—41no—
269C22×D61—41no—
270C22×D61—44no—
271C22×D61—82no—
272C22×D61—82no—
273C22×D61C2×C22⋊C412yes—
274C22×D61#12412yes—
275C22×D61#12712yes—
276Q8×C61—22no—
277Q8×C61—22no—
278D4×C61—22no—
279D4×C61—22no—
280D4×C61—42no—
281D4×C61—42no—
282D4×C61—81no—
283D4×C61—81no—
284C2×C4×C61—22no—
285C2×C4×C61—22no—
286C2×C4×C61—41no—
287C2×C4×C61—41no—
288C2×C4×C61—41no—
289C2×C4×C61—41no—
290C2×C4×C61—42no—
291C2×C4×C61—42no—
292C2×C4×C61—41no—
293C2×C4×C61—41no—
294C2×C4×C61—41no—
295C2×C4×C61C2×C22⋊C411yescharacteristic
296C2×C4×C61C2×C22⋊C411yescharacteristic
297C2×C4×C61C2×C22⋊C411yescharacteristic
298C2×C4×C61C2×C22⋊C411yescharacteristic
299C2×C4×C61C23×C411yescharacteristic
300C2×C4×C61C22×D412yes—
301C2×C4×C61C22×D411yescharacteristic
302C2×C4×C61C2×#4112yes—
303C22⋊D61—42no—
304C22⋊D61—42no—
305C22⋊D61—44no—
306C22⋊D61—44no—
307C22⋊D61—82no—
308C22⋊D61—82no—
309C2×Dic61—22no—
310C2×Dic61—22no—
311C2×Dic61—41no—
312C2×Dic61—41no—
313C2×Dic61—41no—
314C2×Dic61—41no—
315C2×Dic61—44no—
316C2×Dic61—41no—
317C2×Dic61—41no—
318C2×Dic61—41no—
319C2×Dic61C2×C22⋊C412yes—
320C2×Dic61C2×C22⋊C412yes—
321C2×Dic61C2×C22⋊C412yes—
322C2×Dic61#12412yes—
323C2×Dic61#12712yes—
324D244—22no—
325D244—22no—
326D244—44no—
327D244—81no—
328D244—81no—
329C4×D61—48no—
330C4×D61—44no—
331C4×D61—42no—
332C4×D61—42no—
333C4×D61—44no—
334C4×D61C4×D414yes—
335C4×D61C4×D414yes—
336C4×D61#12114yes—
337C4×D61#12114yes—
338Dic122—22no—
339Dic122—22no—
340Dic122—44no—
341C8×C61—24no—
342#92418—24no—
343#21253—611nomaximal, Sylow
344C22×C61—21no—
345C22×C61—21no—
346C22×C61—42no—
347C22×C61—42no—
348C22×C61—42no—
349C22×C61C22×C22⋊C411yescharacteristic
350C22×C61C2×#12411yescharacteristic
351C22×C61C2×#12711yescharacteristic
352C2×D61—22no—
353C2×D61—22no—
354C2×D61—42no—
355C2×D61—42no—
356C2×D61—42no—
357C2×D61—42no—
358C2×D61—42no—
359C2×D61—88no—
360C2×D61#39014yes—
361C4×C61—21no—
362C4×C61—21no—
363C4×C61—21no—
364C4×C61—21no—
365C4×C61—42no—
366C4×C61—42no—
367C4×C61—81no—
368C4×C61C2×C4×D412yes—
369C4×C61C2×#12112yes—
370Dic61—22no—
371Dic61—22no—
372Dic61—42no—
373Dic61—42no—
374Dic61—81no—
375Dic61#39014yes—
376#3449—611no—
377C2×#421—612no—
378C22×#104—612no—
379#2873—611no—
380#2296—611no—
381#1980—612no—
382#1980—612no—
383#1980—611no—
384#1980—611no—
385#1980—611no—
386#1980D6111yescharacteristic, complemented
387C2×C61—21no—
388C2×C61—21no—
389C2×C61—82no—
390C2×C61C2×#39011yescharacteristic
391C2×C61#290111yescharacteristic
392C2×C61#290111yescharacteristic
393D61—24no—
394D61—82no—
395C22×#41—612no—
396C22×M16—612no—
397#537—1221no—
398#537—1221no—
399#536—612no—
400#536—612no—
401#535—612no—
402#535—612no—
403#534—1221no—
404#534—1221no—
405#532—612no—
406#532—611no—
407#532C2×D6111yescharacteristic
408#525—1222no—
409#525—1222no—
410C2×#117—611no—
411C2×#117—611no—
412C22×C42—611no—
413#421—1228no—
414C2×#104—612no—
415C2×#104—612no—
416C2×#104—612no—
417C2×#104—612no—
418C2×#104—612no—
419C2×#104—612no—
420C2×#104—1228no—
421C2×#104C2×D6112yescomplemented
422C2×#104C2×D6112yescomplemented
423#405—1222no—
424#405—1222no—
425C4×M16—612no—
426C4×M16—611no—
427C4×M16C2×D6111yescharacteristic, complemented
428#389—1221no—
429#389—1221no—
430#385—1221no—
431#385—1221no—
432C4×C4⋊C4—611no—
433C4×C4⋊C4—611no—
434C4×C4⋊C4—611no—
435C4×C4⋊C4C2×D6111yescharacteristic, complemented
436C61#2125311yescharacteristic, complemented, Sylow
437C2×#41—612no—
438C2×#41—612no—
439C2×#41—612no—
440C2×#41—1222no—
441C2×#41—1222no—
442C2×#41—1224no—
443C2×#41—1224no—
444C2×#41—1224no—
445C2×#41—1224no—
446C2×#41C22×D6112yes—
447C22×Q8—612no—
448C22×D4—612no—
449C22×D4—1222no—
450C23×C4—611no—
451C23×C4—1222no—
452C23×C4—1221no—
453C2×M16—612no—
454C2×M16—618no—
455C2×M16—1222no—
456C2×M16—1224no—
457C2×M16C22×D6112yes—
458C22×C8—1222no—
459C4⋊Q8—612no—
460C4⋊Q8—611no—
461C4⋊Q8C4×D6111yescharacteristic, complemented
462#127—612no—
463#127—611no—
464#127C4×D6111yescharacteristic, complemented
465#124—612no—
466#124—612no—
467#124—612no—
468#124C4×D6112yescomplemented
469#123—1222no—
470#123—1222no—
471#123—1222no—
472#123—1222no—
473C22⋊Q8—1222no—
474C22⋊Q8—1222no—
475C22⋊Q8—1222no—
476C22⋊Q8—1222no—
477#121—21no—
478#121—21no—
479#121—1222no—
480#121—1222no—
481#121—1222no—
482#121—1222no—
483#121—1222no—
484#121—1222no—
485#121—1221no—
486#121—1221no—
487#120—1222no—
488#120—1222no—
489#120—1222no—
490#120—1222no—
491C4×D4—21no—
492C4×D4—21no—
493C4×D4—1222no—
494C4×D4—1222no—
495C4×D4—1221no—
496C4×D4—1221no—
497#117—612no—
498#117—612no—
499#117—612no—
500#117—612no—
501#117—1224no—
502C2×C4⋊C4—21no—
503C2×C4⋊C4—611no—
504C2×C4⋊C4—611no—
505C2×C4⋊C4—1221no—
506C2×C4⋊C4—1221no—
507C2×C4⋊C4—1221no—
508C2×C4⋊C4—1221no—
509C2×C22⋊C4—611no—
510C2×C22⋊C4—611no—
511C2×C22⋊C4—1221no—
512C2×C42—611no—
513C2×C42—611no—
514C2×C42—611no—
515C2×C42—1224no—
516C2×C42—1221no—
517C2×C42C22×D6111yescharacteristic
518C2×C42C22×D6111yescharacteristic
519C2×C42C22×D6111yescharacteristic
520#104—24no—
521#104—24no—
522#104—1224no—
523#104—1224no—
524#104—1224no—
525#104—1224no—
526#104—1224no—
527#104—1224no—
528#97—21no—
529#97—1222no—
530#97—1221no—
531C4×C8—21no—
532C4×C8—1222no—
533C4×C8—1221no—
534#95—21no—
535#95—1221no—
536#95—1221no—
537#95—1221no—
538C24—611no—
539C24—1222no—
540#41—22no—
541#41—22no—
542#41—22no—
543#41—22no—
544#41—1224no—
545#41—1224no—
546#41—1224no—
547#41—1224no—
548#41—1222no—
549#41—1222no—
550#41—1222no—
551#41—1222no—
552#41—2444no—
553#41—2444no—
554#41—2444no—
555#41—2444no—
556C2×Q8—612no—
557C2×Q8—1222no—
558C2×Q8—1224no—
559C2×Q8—1224no—
560C2×Q8C2×C4×D6112yes—
561C2×D4—22no—
562C2×D4—21no—
563C2×D4—21no—
564C2×D4—612no—
565C2×D4—1222no—
566C2×D4—1224no—
567C2×D4—1224no—
568C2×D4—1222no—
569C2×D4—1222no—
570C2×D4—1222no—
571C2×D4—1222no—
572C2×D4—1222no—
573C2×D4—1221no—
574C2×D4—1221no—
575C2×D4—2444no—
576C2×D4—2444no—
577C2×D4C2×C4×D6112yes—
578C22×C4—21no—
579C22×C4—22no—
580C22×C4—21no—
581C22×C4—611no—
582C22×C4—612no—
583C22×C4—614no—
584C22×C4—612no—
585C22×C4—614no—
586C22×C4—611no—
587C22×C4—611no—
588C22×C4—1222no—
589C22×C4—1222no—
590C22×C4—1222no—
591C22×C4—1221no—
592C22×C4—1222no—
593C22×C4—1221no—
594C22×C4—2442no—
595C22×C4—2444no—
596C22×C4—2444no—
597C22×C4—2442no—
598C22×C4—2442no—
599C22×C4D4×D6111yescharacteristic
600C22×C4D4×D6111yescharacteristic
601C22×C4C23×D6111yescharacteristic
602M16—22no—
603M16—614no—
604M16—1228no—
605M16—1222no—
606M16D4×D6114yes—
607C2×C8—22no—
608C2×C8—1228no—
609C2×C8—1222no—
610C4⋊C4—21no—
611C4⋊C4—21no—
612C4⋊C4—42no—
613C4⋊C4—612no—
614C4⋊C4—612no—
615C4⋊C4—612no—
616C4⋊C4—612no—
617C4⋊C4—1222no—
618C4⋊C4—1222no—
619C4⋊C4—1221no—
620C4⋊C4—1221no—
621C4⋊C4—2442no—
622C4⋊C4—2442no—
623C4⋊C4—2442no—
624C4⋊C4—2442no—
625C22⋊C4—22no—
626C22⋊C4—22no—
627C22⋊C4—612no—
628C22⋊C4—612no—
629C22⋊C4—612no—
630C22⋊C4—612no—
631C22⋊C4—1222no—
632C22⋊C4—1222no—
633C22⋊C4—1222no—
634C22⋊C4—1222no—
635C22⋊C4—1222no—
636C22⋊C4—1222no—
637C22⋊C4—2442no—
638C42—22no—
639C42—22no—
640C42—612no—
641C42—612no—
642C42—1222no—
643C42—1222no—
644C42—2442no—
645C42C2×C4×D6111yescharacteristic
646C42C2×C4×D6111yescharacteristic
647C42D4×D6111yescharacteristic
648C42D4×D6111yescharacteristic
649C23—22no—
650C23—612no—
651C23—612no—
652C23—612no—
653C23—1222no—
654C23—4882no—
655C23—4882no—
656C23—2441no—
657C23—2441no—
658C23—2444no—
659C23C2×D4×D6111yescharacteristic
660Q8—22no—
661Q8—22no—
662Q8—1222no—
663Q8—1222no—
664Q8—2444no—
665D4—22no—
666D4—22no—
667D4—42no—
668D4—42no—
669D4—81no—
670D4—81no—
671D4—1222no—
672D4—1222no—
673D4—4881no—
674D4—4881no—
675D4—4882no—
676D4—4882no—
677D4—2444no—
678D4—2444no—
679D4—2444no—
680D4—2442no—
681D4—2442no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—612no—
694C2×C4—612no—
695C2×C4—612no—
696C2×C4—614no—
697C2×C4—614no—
698C2×C4—614no—
699C2×C4—614no—
700C2×C4—612no—
701C2×C4—612no—
702C2×C4—1222no—
703C2×C4—1222no—
704C2×C4—2444no—
705C2×C4—2444no—
706C2×C4—2448no—
707C2×C4—2444no—
708C2×C4—2441no—
709C2×C4—2441no—
710C2×C4—2441no—
711C2×C4—2441no—
712C2×C4—2441no—
713C2×C4—2441no—
714C2×C4—2441no—
715C2×C4—2442no—
716C2×C4—2442no—
717C2×C4C22⋊C4×D6111yescharacteristic
718C2×C4C22⋊C4×D6111yescharacteristic
719C2×C4C22⋊C4×D6111yescharacteristic
720C2×C4C22⋊C4×D6111yescharacteristic
721C2×C4C22×C4×D6111yescharacteristic
722C2×C4C2×D4×D6112yes—
723C2×C4C2×D4×D6111yescharacteristic
724C2×C4#41×D6112yes—
725C8—24no—
726C8—1224no—
727C22—21no—
728C22—21no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—614no—
733C22—1222no—
734C22—1222no—
735C22—4888no—
736C22—2442no—
737C22—2442no—
738C22—2442no—
739C22—2442no—
740C22—2442no—
741C22C2×C22⋊C4×D6111yescharacteristic
742C22#124×D6111yescharacteristic
743C22#127×D6111yescharacteristic
744C4—21no—
745C4—21no—
746C4—21no—
747C4—21no—
748C4—42no—
749C4—42no—
750C4—81no—
751C4—614no—
752C4—1222no—
753C4—1222no—
754C4—4881no—
755C4—2442no—
756C4—2442no—
757C4C4×D4×D6112yes—
758C4#121×D6112yes—
759C2—21no—
760C2—21no—
761C2—82no—
762C2—1224no—
763C2—4882no—
764C2#390×D6111yescharacteristic
765C2#2145436311yescharacteristic
766C2#2145436511yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1980C2
socleC22×C61C22×C22⋊C4
prime radical#21459146C2
cosocleC22×C4×C61C24
hypercenter#1980D61
hypocenterC61#21253
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1980

Complements

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

NH ≅ G/Ntype
2. C2×#16839777C2semidirect
3. C2×#104×D61C2semidirect
4. #21454236C2semidirect
5. #21448299C2semidirect
6. #21446739C2semidirect
7. #21446738C2semidirect
8. #21446737C2semidirect
9. #21446736C2semidirect
10. #21446736C2semidirect
11. C61×#1980C2semidirect
16. #16840337C4semidirect
17. #16840332C4semidirect
18. #16840330C4semidirect
19. #16840325C4semidirect
30. C2×#14519705C22semidirect
31. C2×#14519705C22semidirect
32. C2×#14519704C22semidirect
33. C2×#14519704C22semidirect
34. C2×#14519703C22semidirect
35. C2×#14519703C22semidirect
39. C4×#11758194C22semidirect
40. M16×Dic61C22semidirect
45. C4×#11758196C22semidirect
46. C4×#11758196C22semidirect
47. C4×C4⋊Dic61C22semidirect
49. C2×#104×C61C22semidirect
50. C2×#104×C61C22semidirect
51. C4×M16×C61C22semidirect
52. C4×C4⋊C4×C61C22semidirect
71. M16×D61D4semidirect
73. #14519777C2×C4semidirect
74. #14519775C2×C4semidirect
75. #14519774C2×C4semidirect
76. #14519773C2×C4semidirect
77. #14519766C2×C4semidirect
78. #14519765C2×C4semidirect
79. #14519764C2×C4semidirect
138. C4⋊Q8×C61C2×C4semidirect
139. #127×C61C2×C4semidirect
140. #124×C61C2×C4semidirect
386. #1980D61semidirect
421. C2×#104C2×D61semidirect
422. C2×#104C2×D61semidirect
427. C4×M16C2×D61semidirect
435. C4×C4⋊C4C2×D61semidirect
436. C61#21253semidirect
461. C4⋊Q8C4×D61semidirect
464. #127C4×D61semidirect
468. #124C4×D61semidirect

Maximal subgroups

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

subgroupindex
#214591462
C2×#168397772
C2×#104×D612
#214542362
#214482992
#214467392
#214467382
#214467372
#214467362
C61×#19802
#2125361