Finite Group Databasebeta

← #29679847

Subgroups — #29679847

Order 15616.

1338 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459020C211yesmaximal, characteristic
2#21454262C211yesmaximal, characteristic
3#21448305C211yesmaximal, characteristic
4#21445919C211yesmaximal, characteristic, complemented
5#21445918C211yesmaximal, characteristic, complemented
6#21445917C212yesmaximal, complemented
7#21445917C212yesmaximal, complemented
8#21445916C211yesmaximal, characteristic, complemented
9#21445527C212yesmaximal, complemented
10#339×D61C212yesmaximal, complemented
11C61×#1826C211yesmaximal, characteristic, complemented
12C22×#11758222C2211yescharacteristic
13C2×M16×D61C2212yes—
14#16840243C412yescomplemented
15#16840243C412yescomplemented
16#16840242C412yescomplemented
17#16840242C412yescomplemented
18#16840239—21no—
19#16840236—21no—
20#16840235—21no—
21#16840235—21no—
22C4×#11758222—22no—
23#16840230—22no—
24C2×#14519736C2211yescharacteristic
25C2×#14519734C2211yescharacteristic
26#117×D61C2212yes—
27#117×D61C2212yes—
28C2×C42×D61C2211yescharacteristic
29#16839727—22no—
30#16839727—22no—
31#16839726C2211yescharacteristic
32#16839725C2212yes—
33#16839666—21no—
34#16839662—21no—
35#16839640—21no—
36#16839638—21no—
37C4×#11758198C2211yescharacteristic
38C4×#11758198C2211yescharacteristic
39C4×C22⋊Dic61C2211yescharacteristic
40#16839523C2212yes—
41#16839523C2212yes—
42#16839522C2212yes—
43#16839522C2212yes—
44#16839521C2212yes—
45#16839521C2212yes—
46C2×#117×C61C2211yescharacteristic
47C61×#407C2211yescharacteristic
48C4×C22⋊C4×C61C2211yescharacteristic
49C61×#339C2212yes—
50C61×#339C2212yes—
51C2×#11758222—24no—
52C2×#11758222—24no—
53C2×#11758222C2×C412yes—
54C2×#11758222C2×C412yes—
55C2×#11758222D412yes—
56C2×#11758222D412yes—
57C22×Dic122D411yescharacteristic
58C22×D244D411yescharacteristic
59C22×C22⋊D61D411yescharacteristic
60C22×C22⋊D61D411yescharacteristic
61C22×C4×D61—21no—
62C22×C4×D61C2311yescharacteristic
63C22×C4×D61C2311yescharacteristic
64C2×#11758194C2312yes—
65C2×#11758189—22no—
66M16×D61—24no—
67M16×D61—24no—
68C2×C8×D61—22no—
69C4×Dic122—22no—
70C4×Dic122—22no—
71#14519742—22no—
72#14519742—22no—
73C4×D244—22no—
74C4×D244—22no—
75#14519739—22no—
76#14519739—22no—
77C4×C22⋊D61—22no—
78C4×C22⋊D61—22no—
79C4×C22⋊D61—22no—
80C4×C22⋊D61—22no—
81#14519737—22no—
82#14519737—22no—
83#14519737—22no—
84#14519737—22no—
85#14519736—21no—
86#14519736—21no—
87#14519736C2×C412yescomplemented
88#14519736C2312yes—
89#14519735C2×C412yes—
90#14519735C2×C412yes—
91#14519735C2×C412yescomplemented
92#14519735C2×C412yescomplemented
93#14519734—22no—
94#14519734—22no—
95#14519734—24no—
96#14519733—22no—
97#14519733—22no—
98C2×C4⋊Dic61C2×C411yescharacteristic, complemented
99C2×C4⋊Dic61C2×C411yescharacteristic, complemented
100C2×#11758196—21no—
101C4⋊C4×D61C2×C412yes—
102C4⋊C4×D61C2×C412yes—
103C4⋊C4×D61C2×C412yescomplemented
104C4⋊C4×D61C2×C412yescomplemented
105C2×C22⋊Dic61—21no—
106C2×C22⋊Dic61—21no—
107C2×#11758198—21no—
108C2×#11758198—21no—
109C2×#11758198—21no—
110C22⋊C4×D61—22no—
111C22⋊C4×D61—22no—
112C2×C4×Dic61—21no—
113C2×C4×Dic61—21no—
114C2×C4×Dic61C2311yescharacteristic
115C2×C4×Dic61C2311yescharacteristic
116C42×D61—22no—
117C42×D61—22no—
118C42×D61—24no—
119C22⋊#92418—21no—
120C22⋊#92418—21no—
121#14519689—24no—
122#14519684—21no—
123#14519684—21no—
124#14519684—21no—
125C23×C4×C61C2311yescharacteristic
126C2×M16×C61C2312yes—
127#117×C61—21no—
128#117×C61—21no—
129#117×C61C2×C412yescomplemented
130#117×C61C2312yes—
131C2×C4⋊C4×C61C2×C411yescharacteristic, complemented
132C2×C4⋊C4×C61C2×C411yescharacteristic, complemented
133C2×C22⋊C4×C61—21no—
134C2×C22⋊C4×C61—21no—
135C2×C42×C61—21no—
136C2×C42×C61C2311yescharacteristic
137C2×C42×C61C2311yescharacteristic
138C22⋊C8×C61—21no—
139C22⋊C8×C61—21no—
140#95×C61—21no—
141C24×C61C2×D411yescharacteristic
142C23×D61C2×D411yescharacteristic
143C23×D61C2×D411yescharacteristic
144C22×C4×C61—22no—
145C22×C4×C61—22no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61C22×C411yescharacteristic
151C22×C4×C61C22×C411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2411yescharacteristic
156C2×C22⋊D61—22no—
157C2×C22⋊D61—22no—
158C2×C22⋊D61—22no—
159C2×C22⋊D61—22no—
160C2×C22⋊D61C22⋊C412yes—
161C2×C22⋊D61C22⋊C412yes—
162C2×C22⋊D61C22⋊C412yes—
163C2×C22⋊D61C22⋊C412yes—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61C2×D411yescharacteristic
169C22×Dic61C2×D411yescharacteristic
170#11758222—28no—
171#11758222—28no—
172#11758222—24no—
173#11758222—24no—
174#11758222—24no—
175#11758222—24no—
176C2×D244—22no—
177C2×D244—22no—
178C2×D244C22⋊C412yes—
179C2×D244C22⋊C412yes—
180C2×C4×D61—22no—
181C2×C4×D61—22no—
182C2×C4×D61—22no—
183C2×C4×D61—22no—
184C2×C4×D61—22no—
185C2×C4×D61—22no—
186C2×C4×D61—42no—
187C2×C4×D61—42no—
188C2×C4×D61—42no—
189C2×C4×D61C22×C412yes—
190C2×C4×D61C22×C412yes—
191C2×C4×D61C2×D412yes—
192C2×C4×D61C2×D412yes—
193C2×C4×D61#4114yes—
194C2×C4×D61#4114yes—
195C2×Dic122—22no—
196C2×Dic122—22no—
197C2×Dic122C22⋊C412yes—
198C2×Dic122C22⋊C412yes—
199M16×C61—22no—
200M16×C61—22no—
201C2×C8×C61—22no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61C22×C412yes—
205C4⋊C4×C61C22×C412yes—
206C22⋊C4×C61—22no—
207C22⋊C4×C61—22no—
208C22⋊C4×C61—42no—
209C42×C61—22no—
210C42×C61—22no—
211C42×C61—22no—
212C42×C61—22no—
213C22⋊Dic61—22no—
214C22⋊Dic61—22no—
215C22⋊Dic61—42no—
216#11758198—22no—
217#11758198—22no—
218#11758198—22no—
219#11758198—22no—
220#11758198—42no—
221#11758198—42no—
222#11758198—42no—
223C4⋊Dic61—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61C22×C412yes—
226C4⋊Dic61C22×C412yes—
227#11758196—22no—
228#11758196—22no—
229#11758196—22no—
230#11758196—22no—
231#11758196—42no—
232C4×Dic61—22no—
233C4×Dic61—22no—
234C4×Dic61—22no—
235C4×Dic61—22no—
236C4×Dic61—22no—
237C4×Dic61—22no—
238C4×Dic61—22no—
239C4×Dic61—22no—
240C4×Dic61—42no—
241#11758194—22no—
242#11758194—22no—
243C2×#92418—22no—
244#11758189—44no—
245C8×D61—44no—
246C23×C61—21no—
247C23×C61—21no—
248C23×C61—41no—
249C23×C61—41no—
250C23×C61C2×C22⋊C411yescharacteristic
251C23×C61C2×C22⋊C411yescharacteristic
252C23×C61C22×D411yescharacteristic
253C22×D61—21no—
254C22×D61—21no—
255C22×D61—41no—
256C22×D61—41no—
257C22×D61—41no—
258C22×D61—41no—
259C22×D61C2×C22⋊C412yes—
260C22×D61C2×C22⋊C412yes—
261C22×D61#12312yes—
262C22×D61#12312yes—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—22no—
269C2×C4×C61—22no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—81no—
278C2×C4×C61—81no—
279C2×C4×C61C2×C22⋊C411yescharacteristic
280C2×C4×C61C2×C22⋊C411yescharacteristic
281C2×C4×C61C23×C411yescharacteristic
282C2×C4×C61C22×D411yescharacteristic
283C2×C4×C61C2×#4112yes—
284C2×C4×C61C2×#4112yes—
285C22⋊D61—24no—
286C22⋊D61—24no—
287C22⋊D61—24no—
288C22⋊D61—24no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—81no—
300C2×Dic61—81no—
301C2×Dic61C2×C22⋊C412yes—
302C2×Dic61C2×C22⋊C412yes—
303C2×Dic61#12312yes—
304C2×Dic61#12312yes—
305D244—24no—
306D244—24no—
307C4×D61—24no—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61—48no—
311C4×D61—82no—
312C4×D61—82no—
313C4×D61—82no—
314C4×D61—82no—
315C4×D61#11718yes—
316C4×D61#12314yes—
317C4×D61#12314yes—
318Dic122—24no—
319Dic122—24no—
320C8×C61—42no—
321#92418—42no—
322#20706—611nomaximal, Sylow
323C22×C61—21no—
324C22×C61—21no—
325C22×C61—21no—
326C22×C61—21no—
327C22×C61—21no—
328C22×C61—21no—
329C22×C61—21no—
330C22×C61—21no—
331C22×C61—81no—
332C22×C61—81no—
333C22×C61C22×C22⋊C411yescharacteristic
334C22×C61C2×#12311yescharacteristic
335C22×C61C2×#12311yescharacteristic
336C2×D61—22no—
337C2×D61—22no—
338C2×D61—22no—
339C2×D61—22no—
340C2×D61—22no—
341C2×D61—42no—
342C2×D61—42no—
343C2×D61—81no—
344C2×D61—81no—
345C2×D61#38114yes—
346C4×C61—21no—
347C4×C61—21no—
348C4×C61—42no—
349C4×C61—42no—
350C4×C61—42no—
351C4×C61—81no—
352C4×C61C2×#11712yes—
353C4×C61C2×#12312yes—
354Dic61—22no—
355Dic61—42no—
356Dic61—42no—
357Dic61—42no—
358Dic61—81no—
359Dic61#38114yes—
360#3428—611no—
361#2879—611no—
362#2297—611no—
363#1826—611no—
364#1826—611no—
365#1826—612no—
366#1826—612no—
367#1826—611no—
368#1826D6111yescharacteristic, complemented
369#1733—612no—
370C2×#339—612no—
371C2×C61—21no—
372C2×C61—21no—
373C2×C61—41no—
374C2×C61—41no—
375C2×C61C2×#38111yescharacteristic
376C2×C61#290111yescharacteristic
377C2×C61#290111yescharacteristic
378D61—24no—
379D61—42no—
380C22×#41—611no—
381C22×M16—612no—
382#520—612no—
383#520—612no—
384#520—612no—
385#520—612no—
386#519—1221no—
387#518—1221no—
388#518—1221no—
389#518—1221no—
390C4×#41—1222no—
391C4×#41—1222no—
392C2×#117—611no—
393C2×#117—611no—
394C2×#117—612no—
395C2×#117—612no—
396C2×#117C2×D6111yescharacteristic
397C22×C42—611no—
398#408—1222no—
399#408—1222no—
400#407—611no—
401#407—612no—
402#407C2×D6111yescharacteristic
403#391—1221no—
404#390—1221no—
405#386—1221no—
406#386—1221no—
407C4×C22⋊C4—611no—
408C4×C22⋊C4—611no—
409C4×C22⋊C4—611no—
410C4×C22⋊C4C2×D6111yescharacteristic
411#339—612no—
412#339—612no—
413#339—612no—
414#339—612no—
415#339—612no—
416#339—612no—
417#339C2×D6112yes—
418#339C2×D6112yes—
419C61#2070611yescharacteristic, complemented, Sylow
420C2×#41—612no—
421C2×#41—612no—
422C2×#41—612no—
423C2×#41—612no—
424C2×#41—1224no—
425C2×#41—1224no—
426C22×Q8—611no—
427C22×D4—611no—
428C22×D4—611no—
429C22×D4—611no—
430C23×C4—611no—
431C23×C4—611no—
432C23×C4—1221no—
433C23×C4C22×D6111yescharacteristic
434C2×M16—612no—
435C2×M16—1222no—
436C2×M16—1224no—
437C2×M16—1224no—
438C2×M16C22×D6112yes—
439C22×C8—1222no—
440C4×Q8—1222no—
441C4×Q8—1222no—
442C4×Q8—1222no—
443C4×Q8—1222no—
444C4×D4—1222no—
445C4×D4—1222no—
446C4×D4—1222no—
447C4×D4—1222no—
448C4×D4—1222no—
449C4×D4—1222no—
450C4×D4—1222no—
451C4×D4—1222no—
452C4×D4—1222no—
453C4×D4—1222no—
454C4×D4—1222no—
455C4×D4—1222no—
456#117—21no—
457#117—21no—
458#117—612no—
459#117—612no—
460#117—612no—
461#117—612no—
462#117—612no—
463#117—612no—
464#117—1222no—
465#117—1222no—
466#117—1224no—
467#117—1222no—
468#117—1222no—
469#117—1221no—
470#117—1221no—
471#117C4×D6112yescomplemented
472#117C22×D6112yes—
473C2×C4⋊C4—611no—
474C2×C4⋊C4—611no—
475C2×C4⋊C4—612no—
476C2×C4⋊C4—612no—
477C2×C4⋊C4—612no—
478C2×C4⋊C4—612no—
479C2×C4⋊C4—1221no—
480C2×C4⋊C4C4×D6111yescharacteristic, complemented
481C2×C4⋊C4C4×D6111yescharacteristic, complemented
482C2×C22⋊C4—21no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4—1222no—
485C2×C22⋊C4—1222no—
486C2×C22⋊C4—1221no—
487C2×C22⋊C4—1221no—
488C2×C22⋊C4—1221no—
489C2×C22⋊C4—1221no—
490C2×C22⋊C4—1221no—
491C2×C42—21no—
492C2×C42—611no—
493C2×C42—611no—
494C2×C42—1222no—
495C2×C42—1222no—
496C2×C42—1224no—
497C2×C42—1221no—
498C2×C42—1221no—
499C2×C42C22×D6111yescharacteristic
500C2×C42C22×D6111yescharacteristic
501C22⋊C8—21no—
502C22⋊C8—21no—
503C22⋊C8—1224no—
504C22⋊C8—1221no—
505C22⋊C8—1221no—
506#95—21no—
507#95—1221no—
508#95—1221no—
509#95—1221no—
510C24—611no—
511C24—611no—
512C24D4×D6111yescharacteristic
513#41—1228no—
514#41—1228no—
515#41—1224no—
516#41—1224no—
517#41—1224no—
518#41—1224no—
519C2×Q8—612no—
520C2×Q8—612no—
521C2×Q8—1222no—
522C2×Q8—1222no—
523C2×D4—612no—
524C2×D4—612no—
525C2×D4—612no—
526C2×D4—612no—
527C2×D4—612no—
528C2×D4—612no—
529C2×D4—1222no—
530C2×D4—1222no—
531C2×D4—1222no—
532C2×D4—1222no—
533C2×D4—1222no—
534C2×D4—1222no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—611no—
542C22×C4—612no—
543C22×C4—612no—
544C22×C4—614no—
545C22×C4—614no—
546C22×C4—611no—
547C22×C4—612no—
548C22×C4—612no—
549C22×C4—1222no—
550C22×C4—1222no—
551C22×C4—1222no—
552C22×C4—1222no—
553C22×C4—1222no—
554C22×C4—1222no—
555C22×C4—1221no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—1221no—
559C22×C4—2442no—
560C22×C4—2442no—
561C22×C4—2442no—
562C22×C4C2×C4×D6111yescharacteristic
563C22×C4C2×C4×D6111yescharacteristic
564C22×C4D4×D6111yescharacteristic
565C22×C4D4×D6111yescharacteristic
566C22×C4D4×D6111yescharacteristic
567C22×C4C23×D6111yescharacteristic
568M16—22no—
569M16—22no—
570M16—1222no—
571M16—1222no—
572M16—2444no—
573C2×C8—22no—
574C2×C8—1222no—
575C2×C8—2444no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—612no—
579C4⋊C4—612no—
580C4⋊C4—1222no—
581C4⋊C4—1222no—
582C4⋊C4—1222no—
583C4⋊C4—1222no—
584C4⋊C4—1221no—
585C4⋊C4—1221no—
586C4⋊C4—2442no—
587C4⋊C4C2×C4×D6112yes—
588C4⋊C4C2×C4×D6112yes—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—42no—
592C22⋊C4—1222no—
593C22⋊C4—1222no—
594C22⋊C4—1222no—
595C22⋊C4—1222no—
596C22⋊C4—1222no—
597C22⋊C4—1222no—
598C22⋊C4—2442no—
599C22⋊C4—2442no—
600C22⋊C4—2442no—
601C22⋊C4—2442no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—1222no—
607C42—1222no—
608C42—1222no—
609C42—1222no—
610C42—1222no—
611C42—1222no—
612C42—1222no—
613C42—1222no—
614C42—2442no—
615C23—21no—
616C23—21no—
617C23—41no—
618C23—41no—
619C23—612no—
620C23—612no—
621C23—612no—
622C23—612no—
623C23—1221no—
624C23—1221no—
625C23—2441no—
626C23—2441no—
627C23—2441no—
628C23—2441no—
629C23C22⋊C4×D6111yescharacteristic
630C23C22⋊C4×D6111yescharacteristic
631C23C2×D4×D6111yescharacteristic
632Q8—1224no—
633Q8—1224no—
634D4—1224no—
635D4—1224no—
636D4—1224no—
637D4—1224no—
638D4—1224no—
639D4—1224no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—81no—
655C2×C4—81no—
656C2×C4—612no—
657C2×C4—612no—
658C2×C4—612no—
659C2×C4—618no—
660C2×C4—614no—
661C2×C4—614no—
662C2×C4—612no—
663C2×C4—1221no—
664C2×C4—1221no—
665C2×C4—1224no—
666C2×C4—1222no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—1222no—
670C2×C4—1222no—
671C2×C4—4882no—
672C2×C4—4882no—
673C2×C4—4882no—
674C2×C4—4882no—
675C2×C4—4881no—
676C2×C4—4881no—
677C2×C4—2448no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4C22⋊C4×D6111yescharacteristic
684C2×C4C22⋊C4×D6111yescharacteristic
685C2×C4C22×C4×D6111yescharacteristic
686C2×C4C2×D4×D6111yescharacteristic
687C2×C4#41×D6112yes—
688C2×C4#41×D6112yes—
689C8—42no—
690C8—2442no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—81no—
700C22—81no—
701C22—614no—
702C22—1222no—
703C22—1222no—
704C22—1222no—
705C22—1222no—
706C22—1222no—
707C22—4881no—
708C22—4881no—
709C22—2442no—
710C22—2442no—
711C22C2×C22⋊C4×D6111yescharacteristic
712C22#123×D6111yescharacteristic
713C22#123×D6111yescharacteristic
714C4—21no—
715C4—21no—
716C4—42no—
717C4—42no—
718C4—42no—
719C4—81no—
720C4—614no—
721C4—1222no—
722C4—4881no—
723C4—2442no—
724C4—2442no—
725C4—2442no—
726C4#117×D6112yes—
727C4#123×D6112yes—
728C2—21no—
729C2—21no—
730C2—41no—
731C2—41no—
732C2—1224no—
733C2—2442no—
734C2#381×D6111yescharacteristic
735C2#2145436311yescharacteristic
736C2#2145436511yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1826C2
socleC22×C61C22×C22⋊C4
prime radicalC22×#11758222C22
cosocleC22×C4×C61C24
hypercenter#1826D61
hypocenterC61#20706
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #1826

Complements

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

NH ≅ G/Ntype
4. #21445919C2semidirect
5. #21445918C2semidirect
6. #21445917C2semidirect
7. #21445917C2semidirect
8. #21445916C2semidirect
9. #21445527C2semidirect
10. #339×D61C2semidirect
11. C61×#1826C2semidirect
14. #16840243C4semidirect
15. #16840243C4semidirect
16. #16840242C4semidirect
17. #16840242C4semidirect
87. #14519736C2×C4semidirect
91. #14519735C2×C4semidirect
92. #14519735C2×C4semidirect
98. C2×C4⋊Dic61C2×C4semidirect
99. C2×C4⋊Dic61C2×C4semidirect
103. C4⋊C4×D61C2×C4semidirect
104. C4⋊C4×D61C2×C4semidirect
129. #117×C61C2×C4semidirect
131. C2×C4⋊C4×C61C2×C4semidirect
132. C2×C4⋊C4×C61C2×C4semidirect
368. #1826D61semidirect
419. C61#20706semidirect
471. #117C4×D61semidirect
480. C2×C4⋊C4C4×D61semidirect
481. C2×C4⋊C4C4×D61semidirect

Maximal subgroups

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

subgroupindex
#214590202
#214542622
#214483052
#214459192
#214459182
#214459172
#214459162
#214455272
#339×D612
C61×#18262
#2070661