Finite Group Databasebeta

← #29572202

Subgroups — #29572202

Order 15616.

1088 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21446656C211yesmaximal, characteristic, complemented
2#21445763C211yesmaximal, characteristic, complemented
3#21445759C211yesmaximal, characteristic, complemented
4#21444362C211yesmaximal, characteristic, complemented
5#21444310C211yesmaximal, characteristic, complemented
6#21444179C211yesmaximal, characteristic, complemented
7C61×#3488C211yesmaximal, characteristic
8C2×#14519704—21no—
9C2×#14519704—21no—
10C2×#14519701—21no—
11C2×#14519698—21no—
12C2×#14519692—22no—
13#16839726C2211yescharacteristic, complemented
14C2×C22⋊#92418C2211yescharacteristic, complemented
15#16839622C2211yescharacteristic, complemented
16C4×C22⋊Dic61C2211yescharacteristic, complemented
17#16839499—21no—
18#16839499—21no—
19#16839496—21no—
20#16839496—21no—
21#16839486—22no—
22C2×H(5,𝔽2)×C61C411yescharacteristic, complemented
23C22×#41×C61C2211yescharacteristic
24C61×#550—21no—
25C61×#548—21no—
26C61×#546—21no—
27C61×#546—22no—
28D42×C61—22no—
29D42×C61—21no—
30C61×#537—21no—
31C61×#537C411yescharacteristic, complemented
32C61×#535—21no—
33C61×#535C411yescharacteristic, complemented
34C61×#525—21no—
35C61×#525C2211yescharacteristic
36C2×#121×C61—21no—
37C2×#121×C61C2211yescharacteristic
38C61×#520C411yescharacteristic, complemented
39C2×#11758194—21no—
40C22×#92418—21no—
41C2×C4⋊Dic61—21no—
42C2×C22⋊Dic61—21no—
43C2×C22⋊Dic61—21no—
44C2×C4×Dic61—21no—
45#14519704—42no—
46#14519704—42no—
47#14519701—42no—
48#14519698—42no—
49#14519692—44no—
50C22⋊#92418—21no—
51C22⋊#92418—21no—
52C22⋊#92418—21no—
53C22⋊#92418—21no—
54#14519684—21no—
55#14519684—21no—
56H(5,𝔽2)×C61—42no—
57H(5,𝔽2)×C61—42no—
58C2×#41×C61—21no—
59C2×#41×C61—21no—
60C2×#41×C61—21no—
61C2×#41×C61—21no—
62C2×#41×C61—42no—
63C2×#41×C61—42no—
64C2×#41×C61C2×C411yescharacteristic
65C2×#41×C61C2×C411yescharacteristic
66C2×#41×C61C2×C411yescharacteristic
67C2×#41×C61D411yescharacteristic
68C2×#41×C61D411yescharacteristic
69C22×Q8×C61D411yescharacteristic
70C22×D4×C61—22no—
71C22×D4×C61—21no—
72C22×D4×C61—22no—
73C22×D4×C61—21no—
74C22×D4×C61—21no—
75C22×D4×C61C2×C411yescharacteristic
76C22×D4×C61D412yes—
77C22×D4×C61D411yescharacteristic
78C23×C4×C61—21no—
79C23×C4×C61C2311yescharacteristic
80#127×C61—22no—
81#127×C61—21no—
82#124×C61—22no—
83#124×C61—21no—
84#123×C61—22no—
85#123×C61—21no—
86C22⋊Q8×C61—22no—
87C22⋊Q8×C61—21no—
88C22⋊Q8×C61—21no—
89C22⋊Q8×C61D411yescharacteristic
90C22⋊Q8×C61D411yescharacteristic
91#121×C61—22no—
92#121×C61—22no—
93#121×C61—22no—
94#121×C61—22no—
95#121×C61—22no—
96#121×C61—21no—
97#121×C61—21no—
98#121×C61—22no—
99#121×C61—21no—
100#121×C61—21no—
101#121×C61—21no—
102#121×C61—21no—
103#121×C61—21no—
104#121×C61—21no—
105#121×C61D411yescharacteristic
106#121×C61D411yescharacteristic
107#120×C61—22no—
108#120×C61—22no—
109#120×C61—22no—
110#120×C61—22no—
111#120×C61—21no—
112C4×Q8×C61—21no—
113C4×D4×C61—22no—
114C4×D4×C61—22no—
115C4×D4×C61—21no—
116C4×D4×C61—22no—
117C4×D4×C61—21no—
118C4×D4×C61—21no—
119#117×C61—21no—
120#117×C61C2×C411yescharacteristic
121C2×C4⋊C4×C61—21no—
122C2×C4⋊C4×C61C2×C411yescharacteristic
123C2×C22⋊C4×C61—22no—
124C2×C22⋊C4×C61D412yes—
125C24×C61—22no—
126C24×C61—21no—
127C24×C61C22⋊C412yes—
128C24×C61C2×D411yescharacteristic
129#41×C61—22no—
130#41×C61—22no—
131#41×C61—22no—
132#41×C61—22no—
133#41×C61—41no—
134#41×C61—41no—
135#41×C61—41no—
136#41×C61—41no—
137#41×C61—44no—
138#41×C61—44no—
139#41×C61—41no—
140#41×C61—41no—
141#41×C61—44no—
142#41×C61—42no—
143#41×C61—42no—
144C2×Q8×C61—21no—
145C2×Q8×C61—22no—
146C2×Q8×C61—41no—
147C2×Q8×C61C22⋊C411yescharacteristic
148C2×Q8×C61C22⋊C411yescharacteristic
149C2×Q8×C61C22⋊C411yescharacteristic
150C2×D4×C61—21no—
151C2×D4×C61—22no—
152C2×D4×C61—22no—
153C2×D4×C61—22no—
154C2×D4×C61—21no—
155C2×D4×C61—21no—
156C2×D4×C61—22no—
157C2×D4×C61—21no—
158C2×D4×C61—21no—
159C2×D4×C61—21no—
160C2×D4×C61—22no—
161C2×D4×C61—22no—
162C2×D4×C61—22no—
163C2×D4×C61—21no—
164C2×D4×C61—22no—
165C2×D4×C61—21no—
166C2×D4×C61—21no—
167C2×D4×C61—21no—
168C2×D4×C61—41no—
169C2×D4×C61—44no—
170C2×D4×C61—41no—
171C2×D4×C61—41no—
172C2×D4×C61—44no—
173C2×D4×C61—48no—
174C2×D4×C61—42no—
175C2×D4×C61—42no—
176C2×D4×C61—42no—
177C2×D4×C61—42no—
178C2×D4×C61—82no—
179C2×D4×C61—82no—
180C2×D4×C61C22⋊C411yescharacteristic
181C2×D4×C61C22⋊C411yescharacteristic
182C2×D4×C61C22⋊C411yescharacteristic
183C22×C4×C61—21no—
184C22×C4×C61—22no—
185C22×C4×C61—21no—
186C22×C4×C61—22no—
187C22×C4×C61—21no—
188C22×C4×C61—21no—
189C22×C4×C61—21no—
190C22×C4×C61—21no—
191C22×C4×C61—41no—
192C22×C4×C61—41no—
193C22×C4×C61—44no—
194C22×C4×C61C22⋊C412yes—
195C22×C4×C61C22×C411yescharacteristic
196C22×C4×C61C2×D411yescharacteristic
197C22×C4×C61C2×D411yescharacteristic
198C22×C4×C61C2×D411yescharacteristic
199C22×C4×C61C2×D411yescharacteristic
200C22×C4×C61C2×D411yescharacteristic
201C22×Dic61—41no—
202C22×Dic61—41no—
203C4⋊C4×C61—22no—
204C4⋊C4×C61—22no—
205C4⋊C4×C61—21no—
206C4⋊C4×C61—21no—
207C4⋊C4×C61—21no—
208C4⋊C4×C61—21no—
209C4⋊C4×C61C22⋊C411yescharacteristic
210C4⋊C4×C61C22⋊C411yescharacteristic
211C22⋊C4×C61—22no—
212C22⋊C4×C61—22no—
213C22⋊C4×C61—22no—
214C22⋊C4×C61—22no—
215C22⋊C4×C61—22no—
216C22⋊C4×C61—21no—
217C22⋊C4×C61—21no—
218C22⋊C4×C61—21no—
219C22⋊C4×C61—21no—
220C22⋊C4×C61—22no—
221C22⋊C4×C61—22no—
222C22⋊C4×C61—21no—
223C42×C61—22no—
224C42×C61—21no—
225C22⋊Dic61—22no—
226C22⋊Dic61—41no—
227C22⋊Dic61—42no—
228C4⋊Dic61—41no—
229C4⋊Dic61—41no—
230C4×Dic61—41no—
231C4×Dic61—41no—
232#11758194—41no—
233#11758194—41no—
234C2×#92418—41no—
235C2×#92418—41no—
236C2×#92418—41no—
237C2×#92418—41no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—22no—
242C23×C61—21no—
243C23×C61—21no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—42no—
247C23×C61—44no—
248C23×C61—42no—
249C23×C61—42no—
250C23×C61—42no—
251C23×C61—41no—
252C23×C61—41no—
253C23×C61—81no—
254C23×C61—82no—
255C23×C61—82no—
256C23×C61C2×C22⋊C411yescharacteristic
257C23×C61#12011yescharacteristic
258C23×C61#12011yescharacteristic
259Q8×C61—21no—
260Q8×C61—21no—
261Q8×C61—21no—
262Q8×C61—42no—
263Q8×C61—41no—
264Q8×C61#9912yescomplemented
265D4×C61—24no—
266D4×C61—21no—
267D4×C61—21no—
268D4×C61—21no—
269D4×C61—42no—
270D4×C61—42no—
271D4×C61—41no—
272D4×C61—42no—
273D4×C61—44no—
274D4×C61—42no—
275D4×C61—42no—
276D4×C61—44no—
277D4×C61—42no—
278D4×C61—42no—
279D4×C61—41no—
280D4×C61—42no—
281D4×C61—41no—
282D4×C61—41no—
283D4×C61—41no—
284D4×C61—81no—
285D4×C61—82no—
286D4×C61—82no—
287D4×C61—82no—
288D4×C61—82no—
289D4×C61#9912yescomplemented
290C2×C4×C61—24no—
291C2×C4×C61—21no—
292C2×C4×C61—21no—
293C2×C4×C61—21no—
294C2×C4×C61—21no—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—21no—
298C2×C4×C61—21no—
299C2×C4×C61—22no—
300C2×C4×C61—21no—
301C2×C4×C61—21no—
302C2×C4×C61—21no—
303C2×C4×C61—41no—
304C2×C4×C61—41no—
305C2×C4×C61—41no—
306C2×C4×C61—42no—
307C2×C4×C61—42no—
308C2×C4×C61—42no—
309C2×C4×C61—42no—
310C2×C4×C61—44no—
311C2×C4×C61—41no—
312C2×C4×C61—41no—
313C2×C4×C61—42no—
314C2×C4×C61—82no—
315C2×C4×C61C2×C22⋊C411yescharacteristic
316C2×C4×C61C2×C22⋊C411yescharacteristic
317C2×C4×C61#12011yescharacteristic
318C2×C4×C61#12011yescharacteristic
319C2×Dic61—42no—
320C2×Dic61—81no—
321C2×Dic61—81no—
322C2×Dic61—81no—
323C2×Dic61—81no—
324C2×Dic61—81no—
325#92418—81no—
326#92418—81no—
327#8465—611nomaximal, Sylow
328C22×C61—21no—
329C22×C61—21no—
330C22×C61—21no—
331C22×C61—21no—
332C22×C61—21no—
333C22×C61—21no—
334C22×C61—21no—
335C22×C61—21no—
336C22×C61—22no—
337C22×C61—41no—
338C22×C61—41no—
339C22×C61—42no—
340C22×C61—41no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61—42no—
344C22×C61—41no—
345C22×C61—41no—
346C22×C61—42no—
347C22×C61—41no—
348C22×C61—81no—
349C22×C61—81no—
350C22×C61—82no—
351C22×C61—82no—
352C22×C61—162no—
353C22×C61—164no—
354C22×C61#37911yescharacteristic
355C22×C61#45311yescharacteristic
356C22×C61#45511yescharacteristic
357C4×C61—21no—
358C4×C61—21no—
359C4×C61—21no—
360C4×C61—22no—
361C4×C61—42no—
362C4×C61—41no—
363C4×C61—41no—
364C4×C61—41no—
365C4×C61—41no—
366C4×C61C2×#9911yescharacteristic
367C4×C61C2×#9911yescharacteristic
368Dic61—82no—
369Dic61—161no—
370#3488D6111yescharacteristic
371#1964—611no—
372#1789—611no—
373#1788—611no—
374#1513—611no—
375#1501—611no—
376#1471—611no—
377C2×C61—21no—
378C2×C61—21no—
379C2×C61—41no—
380C2×C61—41no—
381C2×C61—42no—
382C2×C61—81no—
383C2×C61—82no—
384C2×C61—81no—
385C2×C61#178111yescharacteristic
386C2×C61#179211yescharacteristic
387C2×C61#179411yescharacteristic
388C2×H(5,𝔽2)Dic6111yescharacteristic, complemented
389C22×#41C2×D6111yescharacteristic
390#550—21no—
391#548—21no—
392#546—21no—
393#546—22no—
394D42—22no—
395D42—21no—
396#537—21no—
397#537Dic6111yescharacteristic, complemented
398#535—21no—
399#535Dic6111yescharacteristic, complemented
400#525—21no—
401#525C2×D6111yescharacteristic
402C2×#121—21no—
403C2×#121C2×D6111yescharacteristic
404#520Dic6111yescharacteristic, complemented
405C2×#104—1221no—
406C2×#104—1221no—
407C2×#103—1221no—
408C2×#102—1221no—
409C2×#99—1222no—
410#407—611no—
411C2×C22⋊C8—611no—
412#380—611no—
413C4×C22⋊C4—611no—
414#328—1221no—
415#328—1221no—
416#327—1221no—
417#327—1221no—
418#323—1222no—
419C61#846511yescharacteristic, complemented, Sylow
420H(5,𝔽2)—42no—
421H(5,𝔽2)—42no—
422C2×#41—21no—
423C2×#41—21no—
424C2×#41—21no—
425C2×#41—21no—
426C2×#41—42no—
427C2×#41—42no—
428C2×#41C2×Dic6111yescharacteristic
429C2×#41C2×Dic6111yescharacteristic
430C2×#41C2×Dic6111yescharacteristic
431C2×#41C22⋊D6111yescharacteristic
432C2×#41C22⋊D6111yescharacteristic
433C22×Q8C22⋊D6111yescharacteristic
434C22×D4—22no—
435C22×D4—21no—
436C22×D4—22no—
437C22×D4—21no—
438C22×D4—21no—
439C22×D4C2×Dic6111yescharacteristic
440C22×D4C22⋊D6112yes—
441C22×D4C22⋊D6111yescharacteristic
442C23×C4—21no—
443C23×C4C22×D6111yescharacteristic
444C2×M16—1221no—
445C22×C8—1221no—
446#127—22no—
447#127—21no—
448#124—22no—
449#124—21no—
450#123—22no—
451#123—21no—
452C22⋊Q8—22no—
453C22⋊Q8—21no—
454C22⋊Q8—21no—
455C22⋊Q8C22⋊D6111yescharacteristic
456C22⋊Q8C22⋊D6111yescharacteristic
457#121—22no—
458#121—22no—
459#121—22no—
460#121—22no—
461#121—22no—
462#121—21no—
463#121—21no—
464#121—22no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—21no—
471#121C22⋊D6111yescharacteristic
472#121C22⋊D6111yescharacteristic
473#120—22no—
474#120—22no—
475#120—22no—
476#120—22no—
477#120—21no—
478C4×Q8—21no—
479C4×D4—22no—
480C4×D4—22no—
481C4×D4—21no—
482C4×D4—22no—
483C4×D4—21no—
484C4×D4—21no—
485#117—21no—
486#117C2×Dic6111yescharacteristic
487C2×C4⋊C4—21no—
488C2×C4⋊C4—1221no—
489C2×C4⋊C4C2×Dic6111yescharacteristic
490C2×C22⋊C4—22no—
491C2×C22⋊C4—1221no—
492C2×C22⋊C4—1221no—
493C2×C22⋊C4C22⋊D6112yes—
494C2×C42—1221no—
495#104—2442no—
496#104—2442no—
497#103—2442no—
498#102—2442no—
499#99—2444no—
500C22⋊C8—1221no—
501C22⋊C8—1221no—
502C22⋊C8—1221no—
503C22⋊C8—1221no—
504#95—1221no—
505#95—1221no—
506C24—22no—
507C24—21no—
508C24C22⋊Dic6112yes—
509C24C2×C22⋊D6111yescharacteristic
510#41—22no—
511#41—22no—
512#41—22no—
513#41—22no—
514#41—41no—
515#41—41no—
516#41—41no—
517#41—41no—
518#41—44no—
519#41—44no—
520#41—41no—
521#41—41no—
522#41—44no—
523#41—42no—
524#41—42no—
525C2×Q8—21no—
526C2×Q8—22no—
527C2×Q8—41no—
528C2×Q8C22⋊Dic6111yescharacteristic
529C2×Q8C22⋊Dic6111yescharacteristic
530C2×Q8C22⋊Dic6111yescharacteristic
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—21no—
545C2×D4—22no—
546C2×D4—21no—
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—41no—
550C2×D4—44no—
551C2×D4—41no—
552C2×D4—41no—
553C2×D4—44no—
554C2×D4—48no—
555C2×D4—42no—
556C2×D4—42no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—82no—
560C2×D4—82no—
561C2×D4C22⋊Dic6111yescharacteristic
562C2×D4C22⋊Dic6111yescharacteristic
563C2×D4C22⋊Dic6111yescharacteristic
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—22no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—41no—
573C22×C4—41no—
574C22×C4—44no—
575C22×C4—2441no—
576C22×C4—2441no—
577C22×C4C22⋊Dic6112yes—
578C22×C4C22×Dic6111yescharacteristic
579C22×C4C2×C22⋊D6111yescharacteristic
580C22×C4C2×C22⋊D6111yescharacteristic
581C22×C4C2×C22⋊D6111yescharacteristic
582C22×C4C2×C22⋊D6111yescharacteristic
583C22×C4C2×C22⋊D6111yescharacteristic
584M16—2441no—
585M16—2441no—
586C2×C8—2441no—
587C2×C8—2441no—
588C2×C8—2441no—
589C2×C8—2441no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—2441no—
597C4⋊C4—2441no—
598C4⋊C4C22⋊Dic6111yescharacteristic
599C4⋊C4C22⋊Dic6111yescharacteristic
600C22⋊C4—22no—
601C22⋊C4—22no—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—21no—
612C22⋊C4—1222no—
613C22⋊C4—2442no—
614C22⋊C4—2441no—
615C42—22no—
616C42—21no—
617C42—2441no—
618C42—2441no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—22no—
623C23—21no—
624C23—21no—
625C23—41no—
626C23—41no—
627C23—42no—
628C23—44no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—41no—
633C23—41no—
634C23—81no—
635C23—82no—
636C23—82no—
637C23C2×C22⋊Dic6111yescharacteristic
638C23#1451974611yescharacteristic
639C23#1451974611yescharacteristic
640Q8—21no—
641Q8—21no—
642Q8—21no—
643Q8—42no—
644Q8—41no—
645Q8#1451969212yescomplemented
646D4—24no—
647D4—21no—
648D4—21no—
649D4—21no—
650D4—42no—
651D4—42no—
652D4—41no—
653D4—42no—
654D4—44no—
655D4—42no—
656D4—42no—
657D4—44no—
658D4—42no—
659D4—42no—
660D4—41no—
661D4—42no—
662D4—41no—
663D4—41no—
664D4—41no—
665D4—81no—
666D4—82no—
667D4—82no—
668D4—82no—
669D4—82no—
670D4#1451969212yescomplemented
671C2×C4—24no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—82no—
696C2×C4—4881no—
697C2×C4—4881no—
698C2×C4—4881no—
699C2×C4—4881no—
700C2×C4—4881no—
701C2×C4—2442no—
702C2×C4C2×C22⋊Dic6111yescharacteristic
703C2×C4C2×C22⋊Dic6111yescharacteristic
704C2×C4#1451974611yescharacteristic
705C2×C4#1451974611yescharacteristic
706C8—4881no—
707C8—4881no—
708C22—21no—
709C22—21no—
710C22—21no—
711C22—21no—
712C22—22no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—42no—
721C22—41no—
722C22—42no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—42no—
727C22—41no—
728C22—81no—
729C22—81no—
730C22—82no—
731C22—82no—
732C22—162no—
733C22—164no—
734C22#1683961811yescharacteristic
735C22#1683993011yescharacteristic
736C22#1683994011yescharacteristic
737C4—21no—
738C4—21no—
739C4—21no—
740C4—22no—
741C4—41no—
742C4—41no—
743C4—42no—
744C4—41no—
745C4—41no—
746C4—9761no—
747C4—4882no—
748C4C2×#1451969211yescharacteristic
749C4C2×#1451969211yescharacteristic
750C2—21no—
751C2—21no—
752C2—41no—
753C2—41no—
754C2—42no—
755C2—81no—
756C2—81no—
757C2—82no—
758C2#2144573411yescharacteristic
759C2#2144577311yescharacteristic
760C2#2144578311yescharacteristic
subgroupG/H
centerC22#16839618
commutatorC22×C4×C61C22×C4
FrattiniC23×C4C22×D61
Fitting, prime radicalC61×#3488C2
socleC22×C61#379
cosocleC23×C4×C61C23
hypercenter#3488D61
hypocenterC61#8465
LCSG ▷ C22×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. #21446656C2semidirect
2. #21445763C2semidirect
3. #21445759C2semidirect
4. #21444362C2semidirect
5. #21444310C2semidirect
6. #21444179C2semidirect
13. #16839726C22semidirect
14. C2×C22⋊#92418C22semidirect
15. #16839622C22semidirect
16. C4×C22⋊Dic61C22semidirect
22. C2×H(5,𝔽2)×C61C4semidirect
31. C61×#537C4semidirect
33. C61×#535C4semidirect
38. C61×#520C4semidirect
264. Q8×C61#99semidirect
289. D4×C61#99semidirect
388. C2×H(5,𝔽2)Dic61semidirect
397. #537Dic61semidirect
399. #535Dic61semidirect
404. #520Dic61semidirect
419. C61#8465semidirect
645. Q8#14519692semidirect
670. D4#14519692semidirect

Maximal subgroups

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

subgroupindex
#214466562
#214457632
#214457592
#214443622
#214443102
#214441792
C61×#34882
#846561