Finite Group Databasebeta

← D61⋊#1896 #30615700

Subgroups — D61⋊#1896 #30615700

Order 15616.

2514 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
1C23×C4×#6923C211yesmaximal, characteristic, complemented
2C2×D61⋊#104C212yesmaximal, complemented
3D61⋊#407C211yesmaximal, characteristic, complemented
4#21461837C214yesmaximal, complemented
5#21461836C214yesmaximal, complemented
6#21461495C212yesmaximal, complemented
7#525×D61C211yesmaximal, characteristic
8C24×#6923—21no—
9C2×D61⋊M16C2212yes—
10C22×C4×#6923—28no—
11C22×C4×#6923—21no—
12C22×C4×#6923—22no—
13C22×C4×#6923C2212yes—
14C22×C4×#6923C2214yescomplemented
15C2×#14519842C2214yescomplemented
16D61⋊#104—28no—
17C2×#14519841C2214yescomplemented
18#16840734—21no—
19#16840733C2214yescomplemented
20#16840732—21no—
21D61⋊(C22⋊C8)—22no—
22#16840632C2218yescomplemented
23C2×#41×D61C2211yescharacteristic
24C23×C4×D61C2211yescharacteristic
25#16840275C2212yes—
26#16840274C411yescharacteristic, complemented
27#16840273C411yescharacteristic, complemented
28#16840272C2212yes—
29#16840271—22no—
30#16840270—21no—
31#16840269C411yescharacteristic, complemented
32#16840268—21no—
33#123×D61—21no—
34C22⋊Q8×D61C412yescomplemented
35#121×D61C412yescomplemented
36#120×D61—21no—
37C4×D4×D61—22no—
38#117×D61C2211yescharacteristic
39C61×#525C411yescharacteristic, complemented
40C23×#6923—28no—
41C23×#6923—216no—
42C23×#6923—22no—
43C23×#6923—24no—
44C2×#11758213C2314yes—
45D61⋊M16—24no—
46D61⋊M16—24no—
47C2×#11758217—22no—
48C2×D61⋊C8—22no—
49C2×C4×#6923—28no—
50C2×C4×#6923—216no—
51C2×C4×#6923—22no—
52C2×C4×#6923—24no—
53C2×C4×#6923—24no—
54C2×C4×#6923—216no—
55C2×C4×#6923D418yescomplemented
56C2×C4×#6923C2314yes—
57#14519842—28no—
58#14519841—28no—
59#14519834—24no—
60C22⋊#92420—24no—
61C24×D61D411yescharacteristic
62C2×#11758226C2311yescharacteristic
63C2×#11758222—21no—
64C2×#11758222C2×C411yescharacteristic, complemented
65C2×#11758224—21no—
66C2×#11758224C2311yescharacteristic
67#41×D61—24no—
68#41×D61—24no—
69C2×Q8×D61C2×C411yescharacteristic, complemented
70C2×D4×D61—22no—
71C2×D4×D61—21no—
72C2×D4×D61C2×C411yescharacteristic, complemented
73C23×Dic61D411yescharacteristic
74C22×C4×D61—24no—
75C22×C4×D61—24no—
76C22×C4×D61—21no—
77C22×C4×D61C2×C412yes—
78C22×C4×D61C2×C411yescharacteristic
79C22×C4×D61D411yescharacteristic
80C22×C4×D61D412yes—
81C22×C4×D61D412yes—
82C22×C4×D61D411yescharacteristic
83C22×C4×D61C2312yes—
84C22×C4×D61C2311yescharacteristic
85#14519762—22no—
86#14519761—21no—
87#14519760—21no—
88#14519759—22no—
89#14519758—21no—
90#14519757C2×C412yescomplemented
91#14519756C2×C412yescomplemented
92#14519755—22no—
93#14519754—22no—
94#14519753C2×C412yescomplemented
95#14519752C2×C412yescomplemented
96#14519751C2×C412yescomplemented
97#14519750—22no—
98#14519749—22no—
99#14519748C2×C412yescomplemented
100#14519747—21no—
101#14519747—22no—
102#14519746—21no—
103#14519745—21no—
104#14519745—22no—
105C4×D244—22no—
106D4×Dic61—22no—
107#14519739—22no—
108C4×C22⋊D61—22no—
109C4×C22⋊D61—22no—
110#14519737—22no—
111#14519737—22no—
112#14519736C2×C411yescharacteristic, complemented
113#14519735C2312yes—
114#14519734—21no—
115#14519733—21no—
116C4⋊C4×D61—22no—
117C4⋊C4×D61C2×C412yescomplemented
118C22⋊C4×D61—22no—
119C22⋊C4×D61—21no—
120C22⋊C4×D61—22no—
121C42×D61—21no—
122C2×#41×C61C2×C411yescharacteristic, complemented
123C23×C4×C61C2×C411yescharacteristic
124#123×C61—21no—
125C22⋊Q8×C61C2×C412yescomplemented
126#121×C61C2×C412yescomplemented
127#120×C61—21no—
128C4×D4×C61—22no—
129#117×C61C2×C411yescharacteristic, complemented
130C24×C61C22⋊C411yescharacteristic
131C23×D61—28no—
132C23×D61—22no—
133C23×D61—22no—
134C23×D61—21no—
135C23×D61C22⋊C411yescharacteristic
136C23×D61C22⋊C412yes—
137C23×D61C2×D412yes—
138C23×D61C2×D411yescharacteristic
139C22×#6923—216no—
140C22×#6923—264no—
141C22×#6923—216no—
142C22×#6923—216no—
143C22×#6923—216no—
144C22×#6923—28no—
145C22×#6923—24no—
146#41×C61—24no—
147C2×Q8×C61C22×C411yescharacteristic, complemented
148C2×D4×C61—21no—
149C2×D4×C61—22no—
150C2×D4×C61C22×C411yescharacteristic, complemented
151C22×C4×C61—24no—
152C22×C4×C61—21no—
153C22×C4×C61C22⋊C412yes—
154C22×C4×C61C22⋊C411yescharacteristic
155C22×C4×C61C22×C412yes—
156C22×C4×C61C22×C411yescharacteristic
157C2×C22⋊D61—21no—
158C2×C22⋊D61—22no—
159C2×C22⋊D61—22no—
160C2×C22⋊D61—21no—
161C2×C22⋊D61—21no—
162C22×Dic61—24no—
163C22×Dic61—21no—
164C22×Dic61C22⋊C412yes—
165C22×Dic61C22⋊C411yescharacteristic
166C22×Dic61C2×D412yes—
167C22×Dic61C2×D411yescharacteristic
168#11758226—22no—
169#11758226—22no—
170Q8×D61—24no—
171#11758224—22no—
172#11758224—22no—
173#11758224—44no—
174D4×D61—24no—
175D4×D61—48no—
176D4×D61—42no—
177D4×D61—42no—
178#11758222—24no—
179#11758222—42no—
180#11758222—42no—
181C2×D244—22no—
182C2×D244—21no—
183C2×D244C22×C411yescharacteristic, complemented
184C2×C4×D61—22no—
185C2×C4×D61—22no—
186C2×C4×D61—24no—
187C2×C4×D61—24no—
188C2×C4×D61—28no—
189C2×C4×D61—24no—
190C2×C4×D61—28no—
191C2×C4×D61—24no—
192C2×C4×D61—24no—
193C2×C4×D61—24no—
194C2×C4×D61—21no—
195C2×C4×D61—22no—
196C2×C4×D61—21no—
197C2×C4×D61—21no—
198C2×C4×D61—44no—
199C2×C4×D61C22⋊C412yes—
200C2×C4×D61C22⋊C412yes—
201C2×C4×D61C22⋊C412yes—
202C2×C4×D61C22×C412yes—
203C2×C4×D61C22×C411yescharacteristic
204C2×C4×D61C2×D412yes—
205C2×C4×D61C2×D412yes—
206C2×C4×D61C2×D414yes—
207C2×C4×D61C2×D411yescharacteristic
208C2×C4×D61C2×D411yescharacteristic
209C2×C4×D61#4114yes—
210C2×C4×D61C2411yescharacteristic
211C2×Dic122—21no—
212C2×Dic122C22×C411yescharacteristic, complemented
213#11758217—44no—
214C2×#92420—24no—
215C4×#6923—216no—
216C4×#6923—28no—
217C4×#6923—24no—
218C4×#6923C2×D418yescomplemented
219#11758213—24no—
220#11758213—24no—
221D61⋊C8—44no—
222C4⋊C4×C61—22no—
223C4⋊C4×C61C22×C412yescomplemented
224C22⋊C4×C61—21no—
225C22⋊C4×C61—22no—
226C22⋊C4×C61—22no—
227C42×C61—21no—
228C22⋊Dic61—21no—
229C22⋊Dic61—22no—
230C22⋊Dic61—22no—
231#11758198—22no—
232#11758198—22no—
233#11758198—22no—
234#11758198—22no—
235#11758198—22no—
236C4⋊Dic61—22no—
237C4⋊Dic61C22×C412yescomplemented
238#11758196—22no—
239#11758196—22no—
240#11758196—22no—
241C4×Dic61—21no—
242C4×Dic61—22no—
243C23×C61—22no—
244C23×C61—24no—
245C23×C61—21no—
246C23×C61C2×C22⋊C411yescharacteristic
247C23×C61C2×C22⋊C412yes—
248C22×D61—216no—
249C22×D61—216no—
250C22×D61—22no—
251C22×D61—24no—
252C22×D61—22no—
253C22×D61—22no—
254C22×D61—24no—
255C22×D61—24no—
256C22×D61—24no—
257C22×D61—24no—
258C22×D61—24no—
259C22×D61—21no—
260C22×D61—42no—
261C22×D61—44no—
262C22×D61#10418yescomplemented
263C22×D61C2×C22⋊C412yes—
264C22×D61C2×C22⋊C411yescharacteristic
265C22×D61#12012yes—
266C22×D61#12312yes—
267C22×D61C22×D411yescharacteristic
268C2×#6923—264no—
269C2×#6923—216no—
270C2×#6923—232no—
271C2×#6923—28no—
272Q8×C61—22no—
273D4×C61—22no—
274D4×C61—42no—
275D4×C61—44no—
276C2×C4×C61—22no—
277C2×C4×C61—24no—
278C2×C4×C61—24no—
279C2×C4×C61—22no—
280C2×C4×C61—21no—
281C2×C4×C61—42no—
282C2×C4×C61C2×C22⋊C412yes—
283C2×C4×C61C2×C22⋊C411yescharacteristic
284C2×C4×C61C4×D414yes—
285C2×C4×C61C23×C411yescharacteristic
286C22⋊D61—42no—
287C22⋊D61—44no—
288C22⋊D61—41no—
289C22⋊D61—41no—
290C22⋊D61—44no—
291C22⋊D61—42no—
292C2×Dic61—22no—
293C2×Dic61—24no—
294C2×Dic61—24no—
295C2×Dic61—22no—
296C2×Dic61—21no—
297C2×Dic61—42no—
298C2×Dic61C2×C22⋊C412yes—
299C2×Dic61C2×C22⋊C411yescharacteristic
300C2×Dic61#12114yes—
301C2×Dic61C22×D411yescharacteristic
302D244—22no—
303D244—41no—
304D244—41no—
305D244—44no—
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—24no—
309C4×D61—24no—
310C4×D61—24no—
311C4×D61—24no—
312C4×D61—24no—
313C4×D61—42no—
314C4×D61—44no—
315C4×D61—42no—
316C4×D61—42no—
317C4×D61C4×D414yes—
318C4×D61#12012yes—
319C4×D61#12114yes—
320C4×D61#12312yes—
321C4×D61C22×D412yes—
322C4×D61C2×#4112yes—
323Dic122—22no—
324Dic122—42no—
325#92420—44no—
326C2×#1896—611nomaximal, Sylow
327C22×C61—28no—
328C22×C61—22no—
329C22×C61—22no—
330C22×C61—22no—
331C22×C61—42no—
332C22×C61—41no—
333C22×C61#38612yes—
334C22×C61C2×#10414yescomplemented
335C22×C61C22×C22⋊C411yescharacteristic
336C2×D61—28no—
337C2×D61—28no—
338C2×D61—28no—
339C2×D61—22no—
340C2×D61—22no—
341C2×D61—22no—
342C2×D61—24no—
343C2×D61—216no—
344C2×D61—24no—
345C2×D61—42no—
346C2×D61—41no—
347C2×D61—84no—
348C2×D61#38612yes—
349C2×D61C2×#10414yes—
350C2×D61C2×#10414yescomplemented
351C2×D61C2×#12011yescharacteristic
352C2×D61C2×#12311yescharacteristic
353#6923—216no—
354C4×C61—22no—
355C4×C61—42no—
356C4×C61—41no—
357C4×C61#38612yes—
358C4×C61C2×C4×D412yes—
359Dic61—22no—
360Dic61—42no—
361Dic61—41no—
362Dic61#38612yes—
363Dic61C2×#12112yes—
364C2×#525—611no—
365C23×C42—611no—
366C22×#104—612no—
367C2×#407—611no—
368#1896—614no—
369#1896—614no—
370C2×#339—612no—
371C2×C61—22no—
372C2×C61—24no—
373C2×C61—81no—
374C2×C61C2×#38611yescharacteristic
375C2×C61C22×#10412yes—
376D61—21no—
377D61—21no—
378D61—24no—
379D61—81no—
380D61#189614yescomplemented
381C22×#41—611no—
382C24×C4—611no—
383C24×C4—1221no—
384C22×M16—612no—
385#525—611no—
386#525—611no—
387#525—612no—
388#525—612no—
389#525—611no—
390#525—1222no—
391#525—1221no—
392#525—1221no—
393#525#692311yescharacteristic, complemented
394C2×#123—1221no—
395C2×C22⋊Q8—612no—
396C2×#121—612no—
397C2×#120—1221no—
398C2×C4×D4—1222no—
399C2×#117—611no—
400C22×C42—612no—
401C22×C42—614no—
402C22×C42—1228no—
403C22×C42—1221no—
404C22×C42—1222no—
405C2×#104—614no—
406C2×#104—614no—
407C2×#104—1228no—
408#407—614no—
409#407—1221no—
410#407—1221no—
411C2×C22⋊C8—1222no—
412#339—618no—
413C61C2×#189611yescharacteristic, complemented, Sylow
414C25—611no—
415C2×#41—611no—
416C2×#41—611no—
417C2×#41—611no—
418C2×#41—1221no—
419C2×#41—1221no—
420C2×#41—1224no—
421C2×#41—1224no—
422C2×#41C2×#692311yescharacteristic, complemented
423C22×Q8—611no—
424C22×D4—611no—
425C22×D4—1222no—
426C22×D4—1221no—
427C23×C4—611no—
428C23×C4—611no—
429C23×C4—612no—
430C23×C4—611no—
431C23×C4—611no—
432C23×C4—612no—
433C23×C4—612no—
434C23×C4—611no—
435C23×C4—612no—
436C23×C4—1224no—
437C23×C4—1224no—
438C23×C4—1221no—
439C23×C4—1222no—
440C23×C4—1224no—
441C23×C4—12216no—
442C23×C4—1228no—
443C23×C4C2×#692311yescharacteristic
444C2×M16—614no—
445C2×M16—1222no—
446C2×M16—1224no—
447C2×M16—1224no—
448C22×C8—1222no—
449#123—21no—
450#123—1222no—
451#123—1221no—
452#123—1222no—
453#123—1221no—
454#123—1221no—
455C22⋊Q8—612no—
456C22⋊Q8—612no—
457C22⋊Q8—612no—
458C22⋊Q8—1222no—
459C22⋊Q8—1222no—
460C22⋊Q8C2×#692312yescomplemented
461#121—612no—
462#121—612no—
463#121—612no—
464#121—1222no—
465#121—1222no—
466#121C2×#692312yescomplemented
467#120—21no—
468#120—1221no—
469#120—1222no—
470#120—1222no—
471#120—1221no—
472#120—1221no—
473C4×D4—22no—
474C4×D4—1222no—
475C4×D4—1222no—
476C4×D4—1222no—
477C4×D4—1222no—
478C4×D4—1222no—
479C4×D4—1222no—
480C4×D4—1222no—
481#117—611no—
482#117—612no—
483#117—1221no—
484#117—1221no—
485#117C2×#692311yescharacteristic, complemented
486C2×C4⋊C4—612no—
487C2×C4⋊C4—1222no—
488C2×C22⋊C4—1222no—
489C2×C22⋊C4—1221no—
490C2×C22⋊C4—1222no—
491C2×C42—618no—
492C2×C42—614no—
493C2×C42—1221no—
494C2×C42—12216no—
495C2×C42—1222no—
496C2×C42—1224no—
497C2×C42—1224no—
498C2×C42—12216no—
499C2×C42—1228no—
500#104—1228no—
501#104—1228no—
502C22⋊C8—1224no—
503C22⋊C8—1224no—
504C24—611no—
505C24—612no—
506C24—612no—
507C24—611no—
508C24—1222no—
509C24—1222no—
510C24—1228no—
511C24—1221no—
512C24C22⋊#692311yescharacteristic
513#41—24no—
514#41—1222no—
515#41—1222no—
516#41—1222no—
517#41—1222no—
518#41—1224no—
519#41—2442no—
520#41—2442no—
521#41—2444no—
522C2×Q8—611no—
523C2×Q8—1221no—
524C2×Q8—1224no—
525C2×Q8C22×#692311yescharacteristic, complemented
526C2×D4—22no—
527C2×D4—21no—
528C2×D4—611no—
529C2×D4—1222no—
530C2×D4—1221no—
531C2×D4—1224no—
532C2×D4—1221no—
533C2×D4—1222no—
534C2×D4—1221no—
535C2×D4—1222no—
536C2×D4—1221no—
537C2×D4—2442no—
538C2×D4—2442no—
539C2×D4—2448no—
540C2×D4C22×#692311yescharacteristic, complemented
541C22×C4—24no—
542C22×C4—21no—
543C22×C4—611no—
544C22×C4—611no—
545C22×C4—611no—
546C22×C4—614no—
547C22×C4—614no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—612no—
551C22×C4—612no—
552C22×C4—611no—
553C22×C4—612no—
554C22×C4—612no—
555C22×C4—612no—
556C22×C4—612no—
557C22×C4—612no—
558C22×C4—612no—
559C22×C4—1224no—
560C22×C4—1224no—
561C22×C4—1224no—
562C22×C4—1228no—
563C22×C4—1224no—
564C22×C4—1228no—
565C22×C4—1224no—
566C22×C4—1221no—
567C22×C4—1222no—
568C22×C4—1222no—
569C22×C4—1222no—
570C22×C4—1221no—
571C22×C4—1224no—
572C22×C4—1221no—
573C22×C4—1228no—
574C22×C4—1224no—
575C22×C4—12216no—
576C22×C4—12216no—
577C22×C4—12216no—
578C22×C4—12264no—
579C22×C4—12216no—
580C22×C4—1224no—
581C22×C4—1221no—
582C22×C4—2444no—
583C22×C4C22⋊#692311yescharacteristic
584C22×C4C22⋊#692312yes—
585C22×C4C22×#692312yes—
586C22×C4C22×#692311yescharacteristic
587M16—1224no—
588M16—1224no—
589M16—2444no—
590C2×C8—1224no—
591C2×C8—2444no—
592C4⋊C4—22no—
593C4⋊C4—612no—
594C4⋊C4—1222no—
595C4⋊C4—1222no—
596C4⋊C4—1222no—
597C4⋊C4—1222no—
598C4⋊C4C22×#692312yescomplemented
599C22⋊C4—21no—
600C22⋊C4—22no—
601C22⋊C4—22no—
602C22⋊C4—1222no—
603C22⋊C4—1222no—
604C22⋊C4—1222no—
605C22⋊C4—1222no—
606C22⋊C4—1222no—
607C22⋊C4—1221no—
608C22⋊C4—1222no—
609C22⋊C4—1222no—
610C42—21no—
611C42—618no—
612C42—1222no—
613C42—1228no—
614C42—1224no—
615C42—12216no—
616C42—1221no—
617C23—22no—
618C23—24no—
619C23—21no—
620C23—611no—
621C23—612no—
622C23—612no—
623C23—618no—
624C23—612no—
625C23—611no—
626C23—1222no—
627C23—1224no—
628C23—1224no—
629C23—1224no—
630C23—1222no—
631C23—1224no—
632C23—1224no—
633C23—12216no—
634C23—12216no—
635C23—1222no—
636C23—1224no—
637C23—1221no—
638C23—2442no—
639C23—2444no—
640C23C2×C22⋊#692311yescharacteristic
641C23C2×C22⋊#692312yes—
642Q8—22no—
643Q8—1222no—
644Q8—2442no—
645D4—22no—
646D4—42no—
647D4—44no—
648D4—1222no—
649D4—2444no—
650D4—2441no—
651D4—2441no—
652D4—2442no—
653D4—2444no—
654D4—2441no—
655D4—2441no—
656D4—2442no—
657D4—2444no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—22no—
662C2×C4—21no—
663C2×C4—42no—
664C2×C4—614no—
665C2×C4—611no—
666C2×C4—611no—
667C2×C4—612no—
668C2×C4—614no—
669C2×C4—612no—
670C2×C4—614no—
671C2×C4—612no—
672C2×C4—612no—
673C2×C4—612no—
674C2×C4—1224no—
675C2×C4—1224no—
676C2×C4—1222no—
677C2×C4—1224no—
678C2×C4—1222no—
679C2×C4—1224no—
680C2×C4—1224no—
681C2×C4—1228no—
682C2×C4—12232no—
683C2×C4—12264no—
684C2×C4—12216no—
685C2×C4—1222no—
686C2×C4—1224no—
687C2×C4—1224no—
688C2×C4—1222no—
689C2×C4—1221no—
690C2×C4—2442no—
691C2×C4—2442no—
692C2×C4—2444no—
693C2×C4—2442no—
694C2×C4—2442no—
695C2×C4C2×C22⋊#692312yes—
696C2×C4C2×C22⋊#692311yescharacteristic
697C2×C4D4×#692314yes—
698C2×C4C23×#692311yescharacteristic
699C8—2444no—
700C22—28no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—42no—
705C22—41no—
706C22—614no—
707C22—612no—
708C22—614no—
709C22—611no—
710C22—611no—
711C22—1224no—
712C22—1224no—
713C22—12216no—
714C22—1228no—
715C22—1228no—
716C22—1228no—
717C22—1222no—
718C22—1222no—
719C22—1222no—
720C22—4884no—
721C22—2442no—
722C22—2441no—
723C22#1684071012yes—
724C22D61⋊#10414yescomplemented
725C22C22×C22⋊#692311yescharacteristic
726C4—22no—
727C4—42no—
728C4—41no—
729C4—612no—
730C4—612no—
731C4—12216no—
732C4—1222no—
733C4—2442no—
734C4—2441no—
735C4#1684071012yes—
736C4C2×D4×#692312yes—
737C2—22no—
738C2—24no—
739C2—81no—
740C2—614no—
741C2—1221no—
742C2—1224no—
743C2—1221no—
744C2—4881no—
745C2C2×#1684071011yescharacteristic
746C2C2×D61⋊#10412yes—
subgroupG/H
centerC2×C4C2×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#525C4
socleC22×C61C22×C22⋊C4
prime radical#525×D61C2
cosocleC2×C4×D61C24
hypercenter#525#6923
hypocenterC61C2×#1896
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #525

Complements

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

NH ≅ G/Ntype
1. C23×C4×#6923C2semidirect
2. C2×D61⋊#104C2semidirect
3. D61⋊#407C2semidirect
4. #21461837C2semidirect
5. #21461836C2semidirect
6. #21461495C2semidirect
14. C22×C4×#6923C22semidirect
15. C2×#14519842C22semidirect
17. C2×#14519841C22semidirect
19. #16840733C22semidirect
22. #16840632C22semidirect
26. #16840274C4semidirect
27. #16840273C4semidirect
31. #16840269C4semidirect
34. C22⋊Q8×D61C4semidirect
35. #121×D61C4semidirect
39. C61×#525C4semidirect
55. C2×C4×#6923D4semidirect
64. C2×#11758222C2×C4semidirect
69. C2×Q8×D61C2×C4semidirect
72. C2×D4×D61C2×C4semidirect
90. #14519757C2×C4semidirect
91. #14519756C2×C4semidirect
94. #14519753C2×C4semidirect
95. #14519752C2×C4semidirect
96. #14519751C2×C4semidirect
99. #14519748C2×C4semidirect
112. #14519736C2×C4semidirect
117. C4⋊C4×D61C2×C4semidirect
122. C2×#41×C61C2×C4semidirect
125. C22⋊Q8×C61C2×C4semidirect
126. #121×C61C2×C4semidirect
129. #117×C61C2×C4semidirect
147. C2×Q8×C61C22×C4semidirect
150. C2×D4×C61C22×C4semidirect
183. C2×D244C22×C4semidirect
212. C2×Dic122C22×C4semidirect
218. C4×#6923C2×D4semidirect
223. C4⋊C4×C61C22×C4semidirect
237. C4⋊Dic61C22×C4semidirect
262. C22×D61#104semidirect
334. C22×C61C2×#104semidirect
350. C2×D61C2×#104semidirect
380. D61#1896semidirect
393. #525#6923semidirect
413. C61C2×#1896semidirect
422. C2×#41C2×#6923semidirect
460. C22⋊Q8C2×#6923semidirect
466. #121C2×#6923semidirect
485. #117C2×#6923semidirect
525. C2×Q8C22×#6923semidirect
540. C2×D4C22×#6923semidirect
598. C4⋊C4C22×#6923semidirect
724. C22D61⋊#104semidirect

Maximal subgroups

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

subgroupindex
C23×C4×#69232
C2×D61⋊#1042
D61⋊#4072
#214618372
#214618362
#214614952
#525×D612
C2×#189661