Finite Group Databasebeta

← #29689411

Subgroups — #29689411

Order 15616.

1352 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#532×D61C211yesmaximal, characteristic
2#21454450C211yesmaximal, characteristic, complemented
3#21448215C211yesmaximal, characteristic, complemented
4#21446739C211yesmaximal, characteristic, complemented
5#21446738C211yesmaximal, characteristic, complemented
6#21446737C211yesmaximal, characteristic, complemented
7#21446649C214yesmaximal, complemented
8#21445761C214yesmaximal, complemented
9C61×#1980C211yesmaximal, characteristic, complemented
10C2×#41×D61C2212yes—
11#16840313C411yescharacteristic, complemented
12#16840312C2211yescharacteristic
13#16840311C412yescomplemented
14#16840310C411yescharacteristic, complemented
15#16840309—21no—
16#16840309—21no—
17#16840308C2212yes—
18#16840307—21no—
19#16840307—21no—
20C4⋊Q8×D61C411yescharacteristic, complemented
21#127×D61C411yescharacteristic, complemented
22#124×D61C412yescomplemented
23#121×D61—21no—
24#121×D61—21no—
25C4×D4×D61—21no—
26C4×D4×D61—21no—
27C2×C42×D61C2211yescharacteristic
28#16839817—21no—
29#16839817—21no—
30#16839813—21no—
31#16839813—21no—
32#16839785C2212yescomplemented
33C2×#14519705C2214yescomplemented
34C2×#14519704C2214yescomplemented
35C2×#14519703C2214yescomplemented
36#16839725C2212yes—
37C4×#11758194C2211yescharacteristic, complemented
38#16839629—21no—
39#16839627—21no—
40#16839624—21no—
41#16839619—21no—
42C4×C4⋊Dic61C2211yescharacteristic, complemented
43C4×#11758198C2212yes—
44#16839608C2212yescomplemented
45C61×#532C2211yescharacteristic
46C2×#104×C61C2214yescomplemented
47C4×M16×C61C2211yescharacteristic, complemented
48C4×C4⋊C4×C61C2211yescharacteristic, complemented
49C2×#11758226C2×C412yes—
50C2×#11758222—22no—
51C2×#11758222C2312yes—
52C2×#11758224—22no—
53C2×#11758224C2×C412yes—
54#41×D61—44no—
55#41×D61—44no—
56C2×Q8×D61C2×C412yes—
57C2×D4×D61—22no—
58C2×D4×D61—21no—
59C2×D4×D61—21no—
60C2×D4×D61C2×C412yes—
61C22×C4×D61—22no—
62C22×C4×D61D411yescharacteristic
63C22×C4×D61D411yescharacteristic
64C22×C4×D61C2311yescharacteristic
65C2×#11758194C2312yes—
66#14519777C2×C411yescharacteristic
67#14519776—21no—
68#14519776—21no—
69#14519775C2×C412yes—
70#14519774C2×C411yescharacteristic
71#14519773—21no—
72#14519773—21no—
73#14519773C2×C412yes—
74#14519766C2×C412yes—
75#14519765C2×C412yes—
76#14519764C2×C412yes—
77#14519763—22no—
78#14519763—22no—
79#14519752—21no—
80#14519752—21no—
81#14519751—21no—
82#14519751—21no—
83#14519750—22no—
84#14519750—22no—
85#14519749—22no—
86#14519749—22no—
87#14519748—21no—
88#14519748—21no—
89C4×D244—21no—
90C4×D244—21no—
91D4×Dic61—21no—
92D4×Dic61—21no—
93#14519739—21no—
94#14519739—21no—
95C4×C22⋊D61—22no—
96C4×C22⋊D61—22no—
97#14519737—22no—
98#14519737—22no—
99C2×C4⋊Dic61—21no—
100C4⋊C4×D61—21no—
101C4⋊C4×D61—21no—
102C2×#11758198—22no—
103C22⋊C4×D61—22no—
104C22⋊C4×D61—22no—
105C2×C4×Dic61D411yescharacteristic
106C2×C4×Dic61D411yescharacteristic
107C2×C4×Dic61C2312yes—
108C2×C4×Dic61C2311yescharacteristic
109C42×D61C2×C411yescharacteristic
110C42×D61C2×C411yescharacteristic
111C42×D61C2×C411yescharacteristic
112C42×D61C2×C411yescharacteristic
113C42×D61D411yescharacteristic
114C42×D61D411yescharacteristic
115C42×D61D411yescharacteristic
116C42×D61D411yescharacteristic
117#14519706—22no—
118#14519706—22no—
119#14519705—44no—
120#14519704—44no—
121#14519703—44no—
122#14519689—22no—
123#14519689—22no—
124#14519688—21no—
125C4×#92418—21no—
126#14519684—21no—
127#14519684—22no—
128#14519684—22no—
129#14519684—22no—
130C2×#41×C61C2312yes—
131C2×M16×C61C2312yes—
132C4⋊Q8×C61C2×C411yescharacteristic
133#127×C61C2×C411yescharacteristic
134#124×C61C2×C412yes—
135#121×C61—21no—
136#121×C61—21no—
137C4×D4×C61—21no—
138C4×D4×C61—21no—
139C2×C4⋊C4×C61—21no—
140C2×C42×C61C2312yes—
141C2×C42×C61C2311yescharacteristic
142#104×C61—44no—
143#97×C61—21no—
144C4×C8×C61—21no—
145#95×C61—21no—
146C23×D61—22no—
147C23×D61C2×D411yescharacteristic
148#41×C61—24no—
149#41×C61—24no—
150C2×Q8×C61C22×C412yes—
151C2×D4×C61—22no—
152C2×D4×C61—21no—
153C2×D4×C61—21no—
154C2×D4×C61C22×C412yes—
155C22×C4×C61—22no—
156C22×C4×C61—22no—
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2411yescharacteristic
160C2×C22⋊D61—22no—
161C2×C22⋊D61—22no—
162C2×C22⋊D61—22no—
163C2×C22⋊D61—22no—
164C2×C22⋊D61—22no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61C2×D411yescharacteristic
168C22×Dic61C2×D411yescharacteristic
169C22×Dic61C2×D411yescharacteristic
170#11758226—44no—
171Q8×D61—44no—
172#11758224—44no—
173#11758224—44no—
174#11758224—44no—
175D4×D61—44no—
176D4×D61—44no—
177D4×D61—44no—
178D4×D61—44no—
179D4×D61—44no—
180#11758222—24no—
181#11758222—24no—
182#11758222—48no—
183C2×D244—22no—
184C2×D244—21no—
185C2×D244—21no—
186C2×D244C22×C412yes—
187C2×C4×D61—22no—
188C2×C4×D61—22no—
189C2×C4×D61—22no—
190C2×C4×D61—22no—
191C2×C4×D61—22no—
192C2×C4×D61—42no—
193C2×C4×D61—42no—
194C2×C4×D61—48no—
195C2×C4×D61C22⋊C411yescharacteristic
196C2×C4×D61C22⋊C411yescharacteristic
197C2×C4×D61C22⋊C411yescharacteristic
198C2×C4×D61C22⋊C411yescharacteristic
199C2×C4×D61C22⋊C411yescharacteristic
200C2×C4×D61C22⋊C411yescharacteristic
201C2×C4×D61C22⋊C411yescharacteristic
202C2×C4×D61C22⋊C411yescharacteristic
203C2×C4×D61C22×C411yescharacteristic
204C2×C4×D61C22×C411yescharacteristic
205C2×C4×D61C2×D411yescharacteristic
206C2×C4×D61C2×D411yescharacteristic
207C2×Dic122—22no—
208C2×Dic122C22×C412yes—
209M16×C61—22no—
210M16×C61—22no—
211C2×C8×C61—22no—
212C4⋊C4×C61—21no—
213C4⋊C4×C61—21no—
214C4⋊C4×C61—42no—
215C22⋊C4×C61—22no—
216C22⋊C4×C61—22no—
217C42×C61—24no—
218C42×C61C22×C411yescharacteristic
219C42×C61C22×C411yescharacteristic
220C42×C61C2×D411yescharacteristic
221C42×C61C2×D411yescharacteristic
222C22⋊Dic61—22no—
223C22⋊Dic61—22no—
224#11758198—22no—
225#11758198—22no—
226#11758198—22no—
227#11758198—22no—
228#11758198—44no—
229C4⋊Dic61—21no—
230C4⋊Dic61—21no—
231C4⋊Dic61—42no—
232#11758196—22no—
233#11758196—22no—
234C4×Dic61—24no—
235C4×Dic61C22⋊C411yescharacteristic
236C4×Dic61C22⋊C411yescharacteristic
237C4×Dic61C22⋊C411yescharacteristic
238C4×Dic61C22⋊C411yescharacteristic
239C4×Dic61C22⋊C411yescharacteristic
240C4×Dic61C22⋊C411yescharacteristic
241C4×Dic61C22⋊C411yescharacteristic
242C4×Dic61C22⋊C411yescharacteristic
243C4×Dic61C22×C411yescharacteristic
244C4×Dic61C22×C411yescharacteristic
245C4×Dic61C2×D411yescharacteristic
246C4×Dic61C2×D411yescharacteristic
247#11758194—22no—
248#11758194—22no—
249C2×#92418—22no—
250C23×C61—22no—
251C23×C61C22×D411yescharacteristic
252C22×D61—21no—
253C22×D61—21no—
254C22×D61—22no—
255C22×D61—22no—
256C22×D61—41no—
257C22×D61—44no—
258C22×D61—44no—
259C22×D61—44no—
260C22×D61C2×C22⋊C411yescharacteristic
261C22×D61C2×C22⋊C411yescharacteristic
262Q8×C61—24no—
263D4×C61—24no—
264D4×C61—42no—
265D4×C61—42no—
266D4×C61—42no—
267D4×C61—42no—
268C2×C4×C61—22no—
269C2×C4×C61—22no—
270C2×C4×C61—41no—
271C2×C4×C61—44no—
272C2×C4×C61—42no—
273C2×C4×C61—42no—
274C2×C4×C61—42no—
275C2×C4×C61C2×C22⋊C411yescharacteristic
276C2×C4×C61C2×C22⋊C411yescharacteristic
277C2×C4×C61C2×C22⋊C411yescharacteristic
278C2×C4×C61C2×C22⋊C411yescharacteristic
279C2×C4×C61C23×C411yescharacteristic
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61H(5,𝔽2)12yes—
282C2×C4×C61H(5,𝔽2)12yes—
283C22⋊D61—44no—
284C22⋊D61—44no—
285C22⋊D61—44no—
286C22⋊D61—44no—
287C22⋊D61—42no—
288C22⋊D61—42no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—22no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—44no—
295C2×Dic61—42no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61C2×C22⋊C411yescharacteristic
299C2×Dic61C2×C22⋊C411yescharacteristic
300C2×Dic61C2×C22⋊C411yescharacteristic
301C2×Dic61C2×C22⋊C411yescharacteristic
302C2×Dic61C2×C22⋊C411yescharacteristic
303C2×Dic61C2×C22⋊C411yescharacteristic
304D244—24no—
305D244—42no—
306D244—44no—
307D244—42no—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61—22no—
311C4×D61—22no—
312C4×D61—22no—
313C4×D61—22no—
314C4×D61—22no—
315C4×D61—22no—
316C4×D61—41no—
317C4×D61—41no—
318C4×D61—41no—
319C4×D61—41no—
320C4×D61—44no—
321C4×D61—44no—
322C4×D61—44no—
323Dic122—24no—
324Dic122—44no—
325C8×C61—42no—
326#92418—42no—
327#21816—611nomaximal, Sylow
328C22×C61—21no—
329C22×C61—21no—
330C22×C61—42no—
331C22×C61—42no—
332C22×C61—42no—
333C22×C61C22×C22⋊C411yescharacteristic
334C22×C61#53511yescharacteristic
335C22×C61#53511yescharacteristic
336C2×D61—21no—
337C2×D61—21no—
338C2×D61—21no—
339C2×D61—21no—
340C2×D61—21no—
341C2×D61—42no—
342C2×D61—42no—
343C2×D61—42no—
344C2×D61—42no—
345C2×D61—42no—
346C2×D61—88no—
347C2×D61#42112yes—
348C4×C61—21no—
349C4×C61—21no—
350C4×C61—21no—
351C4×C61—42no—
352C4×C61—82no—
353C4×C61#42112yes—
354C4×C61#51812yes—
355C4×C61#53512yes—
356Dic61—21no—
357Dic61—21no—
358Dic61—21no—
359Dic61—21no—
360Dic61—21no—
361Dic61—21no—
362Dic61—42no—
363Dic61—82no—
364C2×#532—611no—
365#2920—611no—
366#2283—611no—
367#1980—611no—
368#1980—611no—
369#1980—611no—
370#1980D6111yescharacteristic, complemented
371#1963—614no—
372#1789—614no—
373C2×C61—21no—
374C2×C61—21no—
375C2×C61—82no—
376C2×C61#230911yescharacteristic
377C2×C61C2×#42111yescharacteristic
378C2×C61C2×#42111yescharacteristic
379D61—22no—
380D61—41no—
381D61—82no—
382C22×#41—612no—
383#532—612no—
384#532—611no—
385#532—611no—
386#532—612no—
387#532—611no—
388#532—1221no—
389#532—1221no—
390#532—1221no—
391#532—1221no—
392#532C2×D6111yescharacteristic
393C2×C4⋊Q8—611no—
394C2×#127—611no—
395C2×#124—612no—
396C2×#121—1221no—
397C2×#121—1221no—
398C2×C4×D4—1221no—
399C2×C4×D4—1221no—
400C22×C42—611no—
401#432—1221no—
402#432—1221no—
403#431—1221no—
404#431—1221no—
405#423—612no—
406C2×#104—614no—
407C2×#104—614no—
408C2×#104—614no—
409C2×#104C2×D6114yescomplemented
410#407—612no—
411C4×M16—611no—
412C4×M16C2×D6111yescharacteristic, complemented
413#383—1221no—
414#382—1221no—
415#381—1221no—
416#380—1221no—
417C4×C4⋊C4—611no—
418C4×C4⋊C4C2×D6111yescharacteristic, complemented
419C4×C22⋊C4—612no—
420#376—612no—
421C61#2181611yescharacteristic, complemented, Sylow
422C2×#41—612no—
423C2×#41—612no—
424C2×#41—612no—
425C2×#41—1222no—
426C2×#41—1222no—
427C2×#41—2444no—
428C2×#41—2444no—
429C2×#41C22×D6112yes—
430C22×Q8—612no—
431C22×D4—612no—
432C22×D4—1221no—
433C22×D4—1221no—
434C22×D4—1222no—
435C23×C4—611no—
436C23×C4—611no—
437C23×C4—611no—
438C23×C4—1222no—
439C2×M16—612no—
440C2×M16C22×D6112yes—
441C4⋊Q8—612no—
442C4⋊Q8—611no—
443C4⋊Q8—1221no—
444C4⋊Q8—1221no—
445C4⋊Q8C4×D6111yescharacteristic
446#127—612no—
447#127—611no—
448#127—1221no—
449#127—1221no—
450#127C4×D6111yescharacteristic
451#124—612no—
452#124—612no—
453#124—612no—
454#124—1222no—
455#124—1222no—
456#124C4×D6112yes—
457#121—21no—
458#121—21no—
459#121—1222no—
460#121—1222no—
461#121—1221no—
462#121—1221no—
463#121—1221no—
464#121—1221no—
465#121—1222no—
466#121—1222no—
467#121—1221no—
468#121—1221no—
469C4×D4—21no—
470C4×D4—21no—
471C4×D4—1222no—
472C4×D4—1222no—
473C4×D4—1221no—
474C4×D4—1221no—
475C4×D4—1222no—
476C4×D4—1222no—
477C4×D4—1221no—
478C4×D4—1221no—
479C4×D4—1221no—
480C4×D4—1221no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—1221no—
483C2×C4⋊C4—1221no—
484C2×C4⋊C4—1221no—
485C2×C22⋊C4—1222no—
486C2×C22⋊C4—1222no—
487C2×C22⋊C4—1222no—
488C2×C42—611no—
489C2×C42—611no—
490C2×C42—611no—
491C2×C42—611no—
492C2×C42—611no—
493C2×C42—611no—
494C2×C42—611no—
495C2×C42—611no—
496C2×C42—611no—
497C2×C42—611no—
498C2×C42—611no—
499C2×C42—612no—
500C2×C42C22×D6112yes—
501C2×C42C22×D6111yescharacteristic
502C4⋊C8—1222no—
503C4⋊C8—1222no—
504#104—44no—
505#104—2444no—
506#104—2444no—
507#104—2444no—
508C22⋊C8—1222no—
509C22⋊C8—1222no—
510#97—21no—
511#97—1221no—
512C4×C8—21no—
513C4×C8—1221no—
514#95—21no—
515#95—1222no—
516#95—1222no—
517#95—1222no—
518#95—1221no—
519C24—611no—
520C24—1222no—
521#41—24no—
522#41—24no—
523#41—1224no—
524#41—1224no—
525#41—2448no—
526#41—2444no—
527#41—2444no—
528#41—2444no—
529#41—2444no—
530C2×Q8—612no—
531C2×Q8—1222no—
532C2×Q8—2444no—
533C2×Q8C2×C4×D6112yes—
534C2×D4—22no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—612no—
538C2×D4—1222no—
539C2×D4—1222no—
540C2×D4—1222no—
541C2×D4—1222no—
542C2×D4—1222no—
543C2×D4—1222no—
544C2×D4—1221no—
545C2×D4—1221no—
546C2×D4—2444no—
547C2×D4—2444no—
548C2×D4—2444no—
549C2×D4—2444no—
550C2×D4—2444no—
551C2×D4C2×C4×D6112yes—
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—611no—
555C22×C4—611no—
556C22×C4—611no—
557C22×C4—611no—
558C22×C4—611no—
559C22×C4—611no—
560C22×C4—611no—
561C22×C4—611no—
562C22×C4—611no—
563C22×C4—611no—
564C22×C4—611no—
565C22×C4—611no—
566C22×C4—611no—
567C22×C4—611no—
568C22×C4—611no—
569C22×C4—1222no—
570C22×C4—1222no—
571C22×C4—1222no—
572C22×C4—1222no—
573C22×C4—1222no—
574C22×C4—1222no—
575C22×C4—1222no—
576C22×C4—2442no—
577C22×C4—2442no—
578C22×C4—2448no—
579C22×C4D4×D6111yescharacteristic
580C22×C4D4×D6111yescharacteristic
581C22×C4C23×D6111yescharacteristic
582M16—22no—
583M16—22no—
584M16—1222no—
585M16—1222no—
586C2×C8—22no—
587C2×C8—1222no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—42no—
591C4⋊C4—1222no—
592C4⋊C4—1222no—
593C4⋊C4—1221no—
594C4⋊C4—1221no—
595C4⋊C4—2442no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—1222no—
599C22⋊C4—1222no—
600C22⋊C4—1222no—
601C22⋊C4—1222no—
602C22⋊C4—1222no—
603C22⋊C4—1222no—
604C22⋊C4—2444no—
605C42—24no—
606C42—611no—
607C42—611no—
608C42—611no—
609C42—611no—
610C42—611no—
611C42—611no—
612C42—611no—
613C42—611no—
614C42—611no—
615C42—611no—
616C42—611no—
617C42—611no—
618C42—1224no—
619C42C2×C4×D6111yescharacteristic
620C42C2×C4×D6111yescharacteristic
621C42D4×D6111yescharacteristic
622C42D4×D6111yescharacteristic
623C23—22no—
624C23—611no—
625C23—611no—
626C23—1222no—
627C23—1221no—
628C23—1221no—
629C23—1222no—
630C23—2441no—
631C23—2444no—
632C23—2444no—
633C23—2444no—
634C23C2×D4×D6111yescharacteristic
635Q8—24no—
636Q8—1224no—
637Q8—2444no—
638D4—24no—
639D4—42no—
640D4—42no—
641D4—42no—
642D4—42no—
643D4—1224no—
644D4—2442no—
645D4—2444no—
646D4—2444no—
647D4—2444no—
648D4—2444no—
649D4—2444no—
650D4—2442no—
651D4—2442no—
652D4—2442no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—41no—
656C2×C4—44no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—611no—
661C2×C4—611no—
662C2×C4—611no—
663C2×C4—611no—
664C2×C4—611no—
665C2×C4—611no—
666C2×C4—1222no—
667C2×C4—1222no—
668C2×C4—1221no—
669C2×C4—1221no—
670C2×C4—1222no—
671C2×C4—1222no—
672C2×C4—1222no—
673C2×C4—1222no—
674C2×C4—1222no—
675C2×C4—1222no—
676C2×C4—1222no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4—2444no—
682C2×C4—2444no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4—2444no—
686C2×C4—2442no—
687C2×C4—2442no—
688C2×C4—2442no—
689C2×C4—2444no—
690C2×C4C22⋊C4×D6111yescharacteristic
691C2×C4C22⋊C4×D6111yescharacteristic
692C2×C4C22⋊C4×D6111yescharacteristic
693C2×C4C22⋊C4×D6111yescharacteristic
694C2×C4C22×C4×D6111yescharacteristic
695C2×C4C2×D4×D6111yescharacteristic
696C2×C4#1451982212yes—
697C2×C4#1451982312yes—
698C8—42no—
699C8—2442no—
700C22—21no—
701C22—21no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—612no—
706C22—1221no—
707C22—1221no—
708C22—1221no—
709C22—1221no—
710C22—1221no—
711C22—4888no—
712C22—2442no—
713C22—2442no—
714C22—2442no—
715C22—2442no—
716C22—2442no—
717C22C2×C22⋊C4×D6111yescharacteristic
718C22#1684032511yescharacteristic
719C22#1684033011yescharacteristic
720C4—21no—
721C4—21no—
722C4—21no—
723C4—42no—
724C4—82no—
725C4—1221no—
726C4—1221no—
727C4—1221no—
728C4—1221no—
729C4—1221no—
730C4—1221no—
731C4—4882no—
732C4—2442no—
733C4#1683977712yes—
734C4#1684023412yes—
735C4#1684032812yes—
736C2—21no—
737C2—21no—
738C2—82no—
739C2—1222no—
740C2—4882no—
741C2—2441no—
742C2#2144839811yescharacteristic
743C2#421×D6111yescharacteristic
744C2C2×#1683977711yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1980C2
socleC22×C61C22×C22⋊C4
prime radical#532×D61C2
cosocleC22×C4×C61C24
hypercenter#1980D61
hypocenterC61#21816
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. #21454450C2semidirect
3. #21448215C2semidirect
4. #21446739C2semidirect
5. #21446738C2semidirect
6. #21446737C2semidirect
7. #21446649C2semidirect
8. #21445761C2semidirect
9. C61×#1980C2semidirect
11. #16840313C4semidirect
13. #16840311C4semidirect
14. #16840310C4semidirect
20. C4⋊Q8×D61C4semidirect
21. #127×D61C4semidirect
22. #124×D61C4semidirect
32. #16839785C22semidirect
33. C2×#14519705C22semidirect
34. C2×#14519704C22semidirect
35. C2×#14519703C22semidirect
37. C4×#11758194C22semidirect
42. C4×C4⋊Dic61C22semidirect
44. #16839608C22semidirect
46. C2×#104×C61C22semidirect
47. C4×M16×C61C22semidirect
48. C4×C4⋊C4×C61C22semidirect
370. #1980D61semidirect
409. C2×#104C2×D61semidirect
412. C4×M16C2×D61semidirect
418. C4×C4⋊C4C2×D61semidirect
421. C61#21816semidirect

Maximal subgroups

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

subgroupindex
#532×D612
#214544502
#214482152
#214467392
#214467382
#214467372
#214466492
#214457612
C61×#19802
#2181661