Finite Group Databasebeta

← C61×#24262 #29527695

Subgroups — C61×#24262 #29527695

Order 15616.

1654 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3496C211yesmaximal, characteristic, complemented
2C2×C61×B(4,𝔽2)C212yesmaximal, complemented
3C61×#2617C212yesmaximal, complemented
4C61×#2321C211yesmaximal, characteristic, complemented
5C61×#2044C212yesmaximal, complemented
6C61×#2021C212yesmaximal, complemented
7C61×#1964C212yesmaximal, complemented
8C61×#1799C211yesmaximal, characteristic, complemented
9C61×#1790C212yesmaximal, complemented
10C2×H(5,𝔽2)×C61C2212yes—
11C61×#547—22no—
12C61×#546—24no—
13D42×C61—22no—
14C61×#537—21no—
15C61×#534—21no—
16C61×#534C2212yes—
17C61×#532—21no—
18C2×#121×C61—21no—
19C2×#121×C61C2212yes—
20C2×#120×C61C2211yescharacteristic
21C2×#120×C61C2214yescomplemented
22C2×C4×D4×C61C2211yescharacteristic
23C22×C22⋊C4×C61C2211yescharacteristic, complemented
24C61×B(4,𝔽2)—28no—
25C2×#99×C61C2212yes—
26C2×#99×C61C2214yescomplemented
27C2×#99×C61C2214yescomplemented
28C61×#397—22no—
29C61×#394—24no—
30C61×#392—22no—
31C61×#390—21no—
32C61×#388—21no—
33C61×#388—21no—
34C61×#386—21no—
35C61×#386C2211yescharacteristic
36C61×#386C2214yescomplemented
37C61×#385C2211yescharacteristic, complemented
38C61×#380C2212yescomplemented
39C61×#379C2211yescharacteristic, complemented
40C4×C22⋊C4×C61C2211yescharacteristic, complemented
41C61×#342C2212yescomplemented
42C25×C61C2311yescharacteristic
43H(5,𝔽2)×C61—24no—
44H(5,𝔽2)×C61—24no—
45H(5,𝔽2)×C61—44no—
46C2×#41×C61—22no—
47C2×#41×C61—24no—
48C22×D4×C61—22no—
49C22×D4×C61—24no—
50C22×D4×C61—21no—
51C22×D4×C61—21no—
52C22×D4×C61—24no—
53C22×D4×C61D412yescomplemented
54C22×D4×C61C2314yes—
55C22×D4×C61C2311yescharacteristic
56C23×C4×C61D411yescharacteristic, complemented
57C23×C4×C61C2311yescharacteristic
58C23×C4×C61C2311yescharacteristic
59C4⋊Q8×C61—21no—
60#127×C61—21no—
61#124×C61—22no—
62#123×C61—24no—
63#123×C61—24no—
64C22⋊Q8×C61—24no—
65#121×C61—24no—
66#121×C61—22no—
67#121×C61—22no—
68#121×C61—22no—
69#121×C61—22no—
70#121×C61—22no—
71#121×C61—22no—
72#121×C61—22no—
73#121×C61—22no—
74#120×C61—24no—
75#120×C61—24no—
76#120×C61—22no—
77#120×C61—28no—
78#120×C61—44no—
79#120×C61D414yescomplemented
80C4×D4×C61—22no—
81C4×D4×C61—22no—
82C4×D4×C61—22no—
83C4×D4×C61—22no—
84C2×C4⋊C4×C61—21no—
85C2×C4⋊C4×C61—22no—
86C2×C4⋊C4×C61—21no—
87C2×C4⋊C4×C61D411yescharacteristic, complemented
88C2×C4⋊C4×C61D412yescomplemented
89C2×C22⋊C4×C61—22no—
90C2×C22⋊C4×C61—21no—
91C2×C22⋊C4×C61—21no—
92C2×C22⋊C4×C61—21no—
93C2×C22⋊C4×C61—22no—
94C2×C22⋊C4×C61—22no—
95C2×C22⋊C4×C61—24no—
96C2×C22⋊C4×C61—21no—
97C2×C22⋊C4×C61—24no—
98C2×C22⋊C4×C61—21no—
99C2×C22⋊C4×C61—21no—
100C2×C22⋊C4×C61D411yescharacteristic, complemented
101C2×C22⋊C4×C61D414yescomplemented
102C2×C22⋊C4×C61C2314yes—
103C2×C22⋊C4×C61C2311yescharacteristic
104C2×C22⋊C4×C61C2311yescharacteristic
105C2×C22⋊C4×C61C2311yescharacteristic
106C2×C42×C61—21no—
107C2×C42×C61D411yescharacteristic, complemented
108#99×C61—24no—
109#99×C61—28no—
110#99×C61—44no—
111#95×C61—21no—
112#95×C61—22no—
113#95×C61—21no—
114#95×C61—21no—
115#95×C61—24no—
116C24×C61—22no—
117C24×C61—21no—
118C24×C61—22no—
119C24×C61—21no—
120C24×C61—22no—
121C24×C61—81no—
122C24×C61—81no—
123C24×C61C2×D414yes—
124C24×C61C2×D411yescharacteristic
125C24×C61C2×D412yescomplemented
126C24×C61C2411yescharacteristic
127#41×C61—48no—
128#41×C61—48no—
129#41×C61—44no—
130#41×C61—44no—
131C2×Q8×C61—22no—
132C2×D4×C61—22no—
133C2×D4×C61—22no—
134C2×D4×C61—24no—
135C2×D4×C61—22no—
136C2×D4×C61—24no—
137C2×D4×C61—24no—
138C2×D4×C61—24no—
139C2×D4×C61—24no—
140C2×D4×C61—24no—
141C2×D4×C61—24no—
142C2×D4×C61—22no—
143C2×D4×C61—22no—
144C2×D4×C61—24no—
145C2×D4×C61—22no—
146C2×D4×C61—22no—
147C2×D4×C61—48no—
148C2×D4×C61—48no—
149C2×D4×C61—44no—
150C2×D4×C61—44no—
151C2×D4×C61—48no—
152C2×D4×C61—82no—
153C2×D4×C61—82no—
154C2×D4×C61—81no—
155C2×D4×C61—81no—
156C2×D4×C61—84no—
157C2×D4×C61—84no—
158C2×D4×C61C2×D412yes—
159C2×D4×C61#4112yes—
160C22×C4×C61—22no—
161C22×C4×C61—24no—
162C22×C4×C61—21no—
163C22×C4×C61—21no—
164C22×C4×C61—21no—
165C22×C4×C61—21no—
166C22×C4×C61—22no—
167C22×C4×C61—21no—
168C22×C4×C61—24no—
169C22×C4×C61—81no—
170C22×C4×C61—81no—
171C22×C4×C61—81no—
172C22×C4×C61C2×D414yes—
173C22×C4×C61C2×D411yescharacteristic
174C22×C4×C61C2×D411yescharacteristic
175C22×C4×C61C2×D411yescharacteristic
176C22×C4×C61C2×D411yescharacteristic
177C22×C4×C61C2×D412yes—
178C22×C4×C61C2×D411yescharacteristic
179C22×C4×C61C2×D412yes—
180C4⋊C4×C61—22no—
181C4⋊C4×C61—22no—
182C4⋊C4×C61—22no—
183C4⋊C4×C61—22no—
184C4⋊C4×C61—22no—
185C4⋊C4×C61—82no—
186C4⋊C4×C61—81no—
187C22⋊C4×C61—24no—
188C22⋊C4×C61—24no—
189C22⋊C4×C61—22no—
190C22⋊C4×C61—21no—
191C22⋊C4×C61—24no—
192C22⋊C4×C61—22no—
193C22⋊C4×C61—24no—
194C22⋊C4×C61—24no—
195C22⋊C4×C61—24no—
196C22⋊C4×C61—22no—
197C22⋊C4×C61—24no—
198C22⋊C4×C61—48no—
199C22⋊C4×C61—41no—
200C22⋊C4×C61—41no—
201C22⋊C4×C61—42no—
202C22⋊C4×C61—81no—
203C22⋊C4×C61—81no—
204C22⋊C4×C61—81no—
205C22⋊C4×C61—84no—
206C22⋊C4×C61C2×D412yescomplemented
207C42×C61—21no—
208C42×C61—21no—
209C42×C61—81no—
210C23×C61—21no—
211C23×C61—21no—
212C23×C61—24no—
213C23×C61—22no—
214C23×C61—24no—
215C23×C61—24no—
216C23×C61—24no—
217C23×C61—41no—
218C23×C61—41no—
219C23×C61—41no—
220C23×C61—41no—
221C23×C61—41no—
222C23×C61—41no—
223C23×C61—41no—
224C23×C61—44no—
225C23×C61—41no—
226C23×C61—44no—
227C23×C61—44no—
228C23×C61—44no—
229C23×C61—44no—
230C23×C61—41no—
231C23×C61—41no—
232C23×C61—42no—
233C23×C61—82no—
234C23×C61—82no—
235C23×C61—84no—
236C23×C61—82no—
237C23×C61—82no—
238C23×C61#12112yes—
239C23×C61C22×D411yescharacteristic
240C23×C61C22×D412yes—
241C23×C61C22×D411yescharacteristic
242C23×C61C2×#4111yescharacteristic
243C23×C61H(5,𝔽2)12yes—
244Q8×C61—44no—
245D4×C61—24no—
246D4×C61—24no—
247D4×C61—44no—
248D4×C61—44no—
249D4×C61—48no—
250D4×C61—44no—
251D4×C61—44no—
252D4×C61—44no—
253D4×C61—44no—
254D4×C61—82no—
255D4×C61—82no—
256D4×C61—84no—
257D4×C61—82no—
258D4×C61—816no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—24no—
264C2×C4×C61—22no—
265C2×C4×C61—24no—
266C2×C4×C61—24no—
267C2×C4×C61—41no—
268C2×C4×C61—42no—
269C2×C4×C61—41no—
270C2×C4×C61—42no—
271C2×C4×C61—42no—
272C2×C4×C61—48no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—44no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—44no—
282C2×C4×C61—44no—
283C2×C4×C61—41no—
284C2×C4×C61—44no—
285C2×C4×C61—41no—
286C2×C4×C61—41no—
287C2×C4×C61—44no—
288C2×C4×C61—81no—
289C2×C4×C61#12011yescharacteristic
290C2×C4×C61#12011yescharacteristic
291C2×C4×C61#12012yes—
292C2×C4×C61#12112yes—
293#24262C6111yesmaximal, characteristic, direct product factor, Sylow
294C22×C61—21no—
295C22×C61—22no—
296C22×C61—21no—
297C22×C61—22no—
298C22×C61—22no—
299C22×C61—41no—
300C22×C61—41no—
301C22×C61—42no—
302C22×C61—42no—
303C22×C61—42no—
304C22×C61—48no—
305C22×C61—42no—
306C22×C61—41no—
307C22×C61—41no—
308C22×C61—44no—
309C22×C61—42no—
310C22×C61—44no—
311C22×C61—44no—
312C22×C61—81no—
313C22×C61—84no—
314C22×C61—84no—
315C22×C61—81no—
316C22×C61—81no—
317C22×C61—84no—
318C22×C61—81no—
319C22×C61—81no—
320C22×C61—164no—
321C22×C61C2×#12011yescharacteristic
322C22×C61C2×#12111yescharacteristic
323C22×C61#53511yescharacteristic
324C22×C61D4212yes—
325C22×C61#54612yes—
326C4×C61—22no—
327C4×C61—21no—
328C4×C61—21no—
329C4×C61—22no—
330C4×C61—42no—
331C4×C61—44no—
332C4×C61—41no—
333C4×C61—41no—
334C4×C61—81no—
335C4×C61—84no—
336C4×C61—81no—
337#3496C2×C6111yescharacteristic, complemented
338C2×B(4,𝔽2)C2×C6112yescomplemented
339#2617C2×C6112yescomplemented
340#2321C2×C6111yescharacteristic, complemented
341#2044C2×C6112yescomplemented
342#2021C2×C6112yescomplemented
343#1964C2×C6112yescomplemented
344#1799C2×C6111yescharacteristic, complemented
345#1790C2×C6112yescomplemented
346C2×C61—21no—
347C2×C61—22no—
348C2×C61—21no—
349C2×C61—22no—
350C2×C61—42no—
351C2×C61—82no—
352C2×C61—84no—
353C2×C61#240811yescharacteristic
354C2×C61#302611yescharacteristic
355C2×C61#302711yescharacteristic
356C2×H(5,𝔽2)C22×C6112yes—
357#547—22no—
358#546—24no—
359D42—22no—
360#537—21no—
361#534—21no—
362#534C22×C6112yes—
363#532—21no—
364C2×#121—21no—
365C2×#121C22×C6112yes—
366C2×#120C22×C6111yescharacteristic
367C2×#120C22×C6114yescomplemented
368C2×C4×D4C22×C6111yescharacteristic
369C22×C22⋊C4C22×C6111yescharacteristic, complemented
370B(4,𝔽2)—28no—
371C2×#99C22×C6112yes—
372C2×#99C22×C6114yescomplemented
373C2×#99C22×C6114yescomplemented
374#397—22no—
375#394—24no—
376#392—22no—
377#390—21no—
378#388—21no—
379#388—21no—
380#386—21no—
381#386C22×C6111yescharacteristic
382#386C22×C6114yescomplemented
383#385C22×C6111yescharacteristic, complemented
384#380C22×C6112yescomplemented
385#379C22×C6111yescharacteristic, complemented
386C4×C22⋊C4C22×C6111yescharacteristic, complemented
387#342C22×C6112yescomplemented
388C61#2426211yescharacteristic, direct product factor, Sylow
389C25C23×C6111yescharacteristic
390H(5,𝔽2)—24no—
391H(5,𝔽2)—24no—
392H(5,𝔽2)—44no—
393C2×#41—22no—
394C2×#41—24no—
395C22×D4—22no—
396C22×D4—24no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—24no—
400C22×D4D4×C6112yescomplemented
401C22×D4C23×C6114yes—
402C22×D4C23×C6111yescharacteristic
403C23×C4D4×C6111yescharacteristic, complemented
404C23×C4C23×C6111yescharacteristic
405C23×C4C23×C6111yescharacteristic
406C4⋊Q8—21no—
407#127—21no—
408#124—22no—
409#123—24no—
410#123—24no—
411C22⋊Q8—24no—
412#121—22no—
413#121—22no—
414#121—24no—
415#121—22no—
416#121—22no—
417#121—22no—
418#121—22no—
419#121—22no—
420#121—22no—
421#120—24no—
422#120—24no—
423#120—22no—
424#120—28no—
425#120—44no—
426#120D4×C6114yescomplemented
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C6111yescharacteristic, complemented
435C2×C4⋊C4D4×C6112yescomplemented
436C2×C22⋊C4—22no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4D4×C6111yescharacteristic, complemented
448C2×C22⋊C4D4×C6114yescomplemented
449C2×C22⋊C4C23×C6114yes—
450C2×C22⋊C4C23×C6111yescharacteristic
451C2×C22⋊C4C23×C6111yescharacteristic
452C2×C22⋊C4C23×C6111yescharacteristic
453C2×C42—21no—
454C2×C42D4×C6111yescharacteristic, complemented
455#99—24no—
456#99—28no—
457#99—44no—
458#95—21no—
459#95—22no—
460#95—21no—
461#95—21no—
462#95—24no—
463C24—22no—
464C24—21no—
465C24—22no—
466C24—21no—
467C24—22no—
468C24—81no—
469C24—81no—
470C24C2×D4×C6114yes—
471C24C2×D4×C6111yescharacteristic
472C24C2×D4×C6112yescomplemented
473C24C24×C6111yescharacteristic
474#41—48no—
475#41—48no—
476#41—44no—
477#41—44no—
478C2×Q8—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—24no—
482C2×D4—22no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—24no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—48no—
495C2×D4—48no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—48no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—81no—
502C2×D4—81no—
503C2×D4—84no—
504C2×D4—84no—
505C2×D4C2×D4×C6112yes—
506C2×D4#41×C6112yes—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4C2×D4×C6114yes—
520C22×C4C2×D4×C6111yescharacteristic
521C22×C4C2×D4×C6111yescharacteristic
522C22×C4C2×D4×C6111yescharacteristic
523C22×C4C2×D4×C6111yescharacteristic
524C22×C4C2×D4×C6112yes—
525C22×C4C2×D4×C6111yescharacteristic
526C22×C4C2×D4×C6112yes—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—82no—
533C4⋊C4—81no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—22no—
537C22⋊C4—21no—
538C22⋊C4—24no—
539C22⋊C4—22no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—24no—
543C22⋊C4—22no—
544C22⋊C4—24no—
545C22⋊C4—48no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—42no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—84no—
553C22⋊C4C2×D4×C6112yescomplemented
554C42—21no—
555C42—21no—
556C42—81no—
557C23—21no—
558C23—21no—
559C23—24no—
560C23—24no—
561C23—22no—
562C23—24no—
563C23—24no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—44no—
572C23—41no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—41no—
578C23—42no—
579C23—41no—
580C23—82no—
581C23—82no—
582C23—84no—
583C23—82no—
584C23—82no—
585C23#121×C6112yes—
586C23C22×D4×C6111yescharacteristic
587C23C22×D4×C6112yes—
588C23C22×D4×C6111yescharacteristic
589C23C2×#41×C6111yescharacteristic
590C23H(5,𝔽2)×C6112yes—
591Q8—44no—
592D4—24no—
593D4—24no—
594D4—44no—
595D4—44no—
596D4—48no—
597D4—44no—
598D4—44no—
599D4—44no—
600D4—44no—
601D4—82no—
602D4—82no—
603D4—84no—
604D4—82no—
605D4—816no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—48no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—44no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—41no—
631C2×C4—44no—
632C2×C4—41no—
633C2×C4—44no—
634C2×C4—41no—
635C2×C4—81no—
636C2×C4#120×C6111yescharacteristic
637C2×C4#120×C6111yescharacteristic
638C2×C4#120×C6112yes—
639C2×C4#121×C6112yes—
640C22—21no—
641C22—22no—
642C22—21no—
643C22—22no—
644C22—22no—
645C22—41no—
646C22—41no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—48no—
651C22—42no—
652C22—41no—
653C22—41no—
654C22—44no—
655C22—42no—
656C22—44no—
657C22—44no—
658C22—81no—
659C22—84no—
660C22—84no—
661C22—81no—
662C22—81no—
663C22—84no—
664C22—81no—
665C22—81no—
666C22—164no—
667C22C2×#120×C6111yescharacteristic
668C22C2×#121×C6111yescharacteristic
669C22C61×#53511yescharacteristic
670C22D42×C6112yes—
671C22C61×#54612yes—
672C4—22no—
673C4—21no—
674C4—21no—
675C4—22no—
676C4—42no—
677C4—44no—
678C4—41no—
679C4—41no—
680C4—81no—
681C4—84no—
682C4—81no—
683C2—21no—
684C2—22no—
685C2—21no—
686C2—22no—
687C2—42no—
688C2—82no—
689C2—84no—
690C2C61×#240811yescharacteristic
691C2C61×#302611yescharacteristic
692C2C61×#302711yescharacteristic
subgroupG/H
center, socleC22×C61C2×#120
commutator, Frattini, cosocleC24C24×C61
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C61 ◁ C23×C4×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3496C2semidirect
2. C2×C61×B(4,𝔽2)C2semidirect
3. C61×#2617C2semidirect
4. C61×#2321C2semidirect
5. C61×#2044C2semidirect
6. C61×#2021C2semidirect
7. C61×#1964C2semidirect
8. C61×#1799C2semidirect
9. C61×#1790C2semidirect
21. C2×#120×C61C22semidirect
23. C22×C22⋊C4×C61C22semidirect
26. C2×#99×C61C22semidirect
27. C2×#99×C61C22semidirect
36. C61×#386C22semidirect
37. C61×#385C22semidirect
38. C61×#380C22semidirect
39. C61×#379C22semidirect
40. C4×C22⋊C4×C61C22semidirect
41. C61×#342C22semidirect
53. C22×D4×C61D4semidirect
56. C23×C4×C61D4semidirect
79. #120×C61D4semidirect
87. C2×C4⋊C4×C61D4semidirect
88. C2×C4⋊C4×C61D4semidirect
100. C2×C22⋊C4×C61D4semidirect
101. C2×C22⋊C4×C61D4semidirect
107. C2×C42×C61D4semidirect
125. C24×C61C2×D4semidirect
206. C22⋊C4×C61C2×D4semidirect
293. #24262C61direct (N × H)
337. #3496C2×C61semidirect
338. C2×B(4,𝔽2)C2×C61semidirect
339. #2617C2×C61semidirect
340. #2321C2×C61semidirect
341. #2044C2×C61semidirect
342. #2021C2×C61semidirect
343. #1964C2×C61semidirect
344. #1799C2×C61semidirect
345. #1790C2×C61semidirect
367. C2×#120C22×C61semidirect
369. C22×C22⋊C4C22×C61semidirect
372. C2×#99C22×C61semidirect
373. C2×#99C22×C61semidirect
382. #386C22×C61semidirect
383. #385C22×C61semidirect
384. #380C22×C61semidirect
385. #379C22×C61semidirect
386. C4×C22⋊C4C22×C61semidirect
387. #342C22×C61semidirect
388. C61#24262direct (N × H)
400. C22×D4D4×C61semidirect
403. C23×C4D4×C61semidirect
426. #120D4×C61semidirect
434. C2×C4⋊C4D4×C61semidirect
435. C2×C4⋊C4D4×C61semidirect
447. C2×C22⋊C4D4×C61semidirect
448. C2×C22⋊C4D4×C61semidirect
454. C2×C42D4×C61semidirect
472. C24C2×D4×C61semidirect
553. C22⋊C4C2×D4×C61semidirect

Maximal subgroups

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

subgroupindex
C61×#34962
C2×C61×B(4,𝔽2)2
C61×#26172
C61×#23212
C61×#20442
C61×#20212
C61×#19642
C61×#17992
C61×#17902
#2426261