Finite Group Databasebeta

← C61×#25773 #29529206

Subgroups — C61×#25773 #29529206

Order 15616.

1770 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3496C211yesmaximal, characteristic, complemented
2C2×C61×#458C212yesmaximal, complemented
3C2×C61×B(4,𝔽2)C212yesmaximal, complemented
4C61×#2539C212yesmaximal, complemented
5C61×#2534C211yesmaximal, characteristic, complemented
6C61×#2022C212yesmaximal, complemented
7C61×#2021C212yesmaximal, complemented
8C61×#1964C212yesmaximal, complemented
9C4×#99×C61C211yesmaximal, characteristic, 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×#123×C61C2211yescharacteristic
19C2×#123×C61C2214yescomplemented
20C2×#121×C61—21no—
21C2×#121×C61C2212yes—
22C2×#120×C61C2211yescharacteristic
23C2×#120×C61C2214yescomplemented
24C2×C4×D4×C61C2211yescharacteristic
25C22×C22⋊C4×C61C2211yescharacteristic, complemented
26C61×#458—28no—
27C61×B(4,𝔽2)—28no—
28C2×#99×C61C2212yes—
29C2×#99×C61C2214yescomplemented
30C2×#99×C61C2214yescomplemented
31C61×#399—22no—
32C61×#396—21no—
33C61×#394—21no—
34C61×#392—22no—
35C61×#390—24no—
36C61×#388—21no—
37C61×#386—21no—
38C61×#381C2211yescharacteristic, complemented
39C61×#380C2211yescharacteristic, complemented
40C61×#379C2211yescharacteristic, complemented
41C4×C22⋊C4×C61C2212yescomplemented
42C61×#342C2212yescomplemented
43C25×C61C2311yescharacteristic
44H(5,𝔽2)×C61—24no—
45H(5,𝔽2)×C61—24no—
46H(5,𝔽2)×C61—44no—
47C2×#41×C61—22no—
48C2×#41×C61—24no—
49C22×D4×C61—22no—
50C22×D4×C61—24no—
51C22×D4×C61—21no—
52C22×D4×C61—21no—
53C22×D4×C61—24no—
54C22×D4×C61D412yescomplemented
55C22×D4×C61C2314yes—
56C22×D4×C61C2311yescharacteristic
57C23×C4×C61D411yescharacteristic, complemented
58C23×C4×C61C2311yescharacteristic
59C23×C4×C61C2311yescharacteristic
60C4⋊Q8×C61—21no—
61#127×C61—21no—
62#124×C61—22no—
63#123×C61—24no—
64#123×C61—24no—
65#123×C61—24no—
66#123×C61—28no—
67#123×C61—44no—
68C22⋊Q8×C61—24no—
69#121×C61—24no—
70#121×C61—22no—
71#121×C61—22no—
72#121×C61—22no—
73#121×C61—22no—
74#121×C61—22no—
75#121×C61—22no—
76#121×C61—22no—
77#121×C61—22no—
78#120×C61—24no—
79#120×C61—24no—
80#120×C61—24no—
81#120×C61—28no—
82#120×C61—44no—
83C4×D4×C61—22no—
84C4×D4×C61—22no—
85C4×D4×C61—22no—
86C4×D4×C61—22no—
87C2×C4⋊C4×C61—21no—
88C2×C4⋊C4×C61—21no—
89C2×C4⋊C4×C61—24no—
90C2×C4⋊C4×C61—21no—
91C2×C4⋊C4×C61D411yescharacteristic, complemented
92C2×C4⋊C4×C61D412yescomplemented
93C2×C22⋊C4×C61—22no—
94C2×C22⋊C4×C61—21no—
95C2×C22⋊C4×C61—24no—
96C2×C22⋊C4×C61—21no—
97C2×C22⋊C4×C61—21no—
98C2×C22⋊C4×C61—21no—
99C2×C22⋊C4×C61—22no—
100C2×C22⋊C4×C61—24no—
101C2×C22⋊C4×C61—22no—
102C2×C22⋊C4×C61—21no—
103C2×C22⋊C4×C61—21no—
104C2×C22⋊C4×C61D411yescharacteristic, complemented
105C2×C22⋊C4×C61D414yescomplemented
106C2×C22⋊C4×C61C2311yescharacteristic
107C2×C22⋊C4×C61C2311yescharacteristic
108C2×C22⋊C4×C61C2311yescharacteristic
109C2×C22⋊C4×C61C2314yes—
110C2×C42×C61—22no—
111C2×C42×C61D411yescharacteristic, complemented
112#99×C61—28no—
113#99×C61—28no—
114#99×C61D418yescomplemented
115#95×C61—22no—
116#95×C61—21no—
117#95×C61—21no—
118#95×C61—21no—
119C24×C61—22no—
120C24×C61—21no—
121C24×C61—22no—
122C24×C61—22no—
123C24×C61—22no—
124C24×C61—42no—
125C24×C61—81no—
126C24×C61C2×D414yes—
127C24×C61C2×D411yescharacteristic
128C24×C61C2411yescharacteristic
129#41×C61—48no—
130#41×C61—48no—
131#41×C61—44no—
132#41×C61—44no—
133C2×Q8×C61—22no—
134C2×D4×C61—22no—
135C2×D4×C61—22no—
136C2×D4×C61—24no—
137C2×D4×C61—22no—
138C2×D4×C61—24no—
139C2×D4×C61—24no—
140C2×D4×C61—24no—
141C2×D4×C61—24no—
142C2×D4×C61—24no—
143C2×D4×C61—24no—
144C2×D4×C61—22no—
145C2×D4×C61—22no—
146C2×D4×C61—22no—
147C2×D4×C61—22no—
148C2×D4×C61—48no—
149C2×D4×C61—48no—
150C2×D4×C61—48no—
151C2×D4×C61—44no—
152C2×D4×C61—44no—
153C2×D4×C61—48no—
154C2×D4×C61—42no—
155C2×D4×C61—42no—
156C2×D4×C61—82no—
157C2×D4×C61—82no—
158C2×D4×C61—84no—
159C2×D4×C61—81no—
160C2×D4×C61C2×D414yes—
161C22×C4×C61—22no—
162C22×C4×C61—24no—
163C22×C4×C61—24no—
164C22×C4×C61—21no—
165C22×C4×C61—21no—
166C22×C4×C61—21no—
167C22×C4×C61—21no—
168C22×C4×C61—21no—
169C22×C4×C61—22no—
170C22×C4×C61—22no—
171C22×C4×C61—22no—
172C22×C4×C61—81no—
173C22×C4×C61—81no—
174C22×C4×C61C2×D414yes—
175C22×C4×C61C2×D411yescharacteristic
176C22×C4×C61C2×D411yescharacteristic
177C22×C4×C61C2×D411yescharacteristic
178C22×C4×C61C2×D411yescharacteristic
179C22×C4×C61C2×D412yes—
180C22×C4×C61C2×D412yes—
181C22×C4×C61C2×D411yescharacteristic
182C4⋊C4×C61—22no—
183C4⋊C4×C61—22no—
184C4⋊C4×C61—22no—
185C4⋊C4×C61—22no—
186C4⋊C4×C61—22no—
187C4⋊C4×C61—48no—
188C4⋊C4×C61—42no—
189C4⋊C4×C61—81no—
190C22⋊C4×C61—24no—
191C22⋊C4×C61—24no—
192C22⋊C4×C61—22no—
193C22⋊C4×C61—24no—
194C22⋊C4×C61—24no—
195C22⋊C4×C61—22no—
196C22⋊C4×C61—24no—
197C22⋊C4×C61—22no—
198C22⋊C4×C61—22no—
199C22⋊C4×C61—48no—
200C22⋊C4×C61—48no—
201C22⋊C4×C61—42no—
202C22⋊C4×C61—42no—
203C22⋊C4×C61—41no—
204C22⋊C4×C61—41no—
205C22⋊C4×C61—42no—
206C22⋊C4×C61—42no—
207C22⋊C4×C61—81no—
208C22⋊C4×C61C2×D418yescomplemented
209C42×C61—21no—
210C42×C61—21no—
211C42×C61—82no—
212C23×C61—21no—
213C23×C61—21no—
214C23×C61—22no—
215C23×C61—24no—
216C23×C61—24no—
217C23×C61—24no—
218C23×C61—24no—
219C23×C61—41no—
220C23×C61—41no—
221C23×C61—41no—
222C23×C61—41no—
223C23×C61—41no—
224C23×C61—41no—
225C23×C61—44no—
226C23×C61—41no—
227C23×C61—42no—
228C23×C61—44no—
229C23×C61—44no—
230C23×C61—44no—
231C23×C61—41no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—44no—
235C23×C61—84no—
236C23×C61—84no—
237C23×C61—82no—
238C23×C61—82no—
239C23×C61#12712yes—
240C23×C61C22×D411yescharacteristic
241C23×C61C22×D412yes—
242C23×C61C22×D412yes—
243C23×C61H(5,𝔽2)12yes—
244Q8×C61—44no—
245D4×C61—28no—
246D4×C61—44no—
247D4×C61—44no—
248D4×C61—48no—
249D4×C61—44no—
250D4×C61—44no—
251D4×C61—44no—
252D4×C61—44no—
253D4×C61—82no—
254D4×C61—82no—
255D4×C61—82no—
256D4×C61—816no—
257D4×C61—84no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—24no—
263C2×C4×C61—28no—
264C2×C4×C61—24no—
265C2×C4×C61—24no—
266C2×C4×C61—42no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—42no—
270C2×C4×C61—42no—
271C2×C4×C61—48no—
272C2×C4×C61—44no—
273C2×C4×C61—44no—
274C2×C4×C61—44no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—41no—
283C2×C4×C61—41no—
284C2×C4×C61—41no—
285C2×C4×C61—41no—
286C2×C4×C61—44no—
287C2×C4×C61—81no—
288C2×C4×C61#12011yescharacteristic
289C2×C4×C61#12011yescharacteristic
290C2×C4×C61#12012yes—
291C2×C4×C61#12712yes—
292#25773C6111yesmaximal, characteristic, direct product factor, Sylow
293C22×C61—21no—
294C22×C61—22no—
295C22×C61—21no—
296C22×C61—22no—
297C22×C61—22no—
298C22×C61—42no—
299C22×C61—42no—
300C22×C61—42no—
301C22×C61—48no—
302C22×C61—42no—
303C22×C61—42no—
304C22×C61—41no—
305C22×C61—41no—
306C22×C61—44no—
307C22×C61—44no—
308C22×C61—42no—
309C22×C61—44no—
310C22×C61—81no—
311C22×C61—84no—
312C22×C61—84no—
313C22×C61—84no—
314C22×C61—81no—
315C22×C61—81no—
316C22×C61—81no—
317C22×C61—81no—
318C22×C61—164no—
319C22×C61C2×#12011yescharacteristic
320C22×C61C2×#12711yescharacteristic
321C22×C61#53511yescharacteristic
322C22×C61D4214yes—
323C4×C61—22no—
324C4×C61—21no—
325C4×C61—21no—
326C4×C61—22no—
327C4×C61—48no—
328C4×C61—44no—
329C4×C61—41no—
330C4×C61—41no—
331C4×C61—81no—
332C4×C61—81no—
333C4×C61—81no—
334#3496C2×C6111yescharacteristic, complemented
335C2×#458C2×C6112yescomplemented
336C2×B(4,𝔽2)C2×C6112yescomplemented
337#2539C2×C6112yescomplemented
338#2534C2×C6111yescharacteristic, complemented
339#2022C2×C6112yescomplemented
340#2021C2×C6112yescomplemented
341#1964C2×C6112yescomplemented
342C4×#99C2×C6111yescharacteristic, complemented
343C2×C61—24no—
344C2×C61—21no—
345C2×C61—21no—
346C2×C61—42no—
347C2×C61—82no—
348C2×C61—84no—
349C2×C61#243311yescharacteristic
350C2×C61#302511yescharacteristic
351C2×C61#302611yescharacteristic
352C2×H(5,𝔽2)C22×C6112yes—
353#547—22no—
354#546—24no—
355D42—22no—
356#537—21no—
357#534—21no—
358#534C22×C6112yes—
359#532—21no—
360C2×#123C22×C6111yescharacteristic
361C2×#123C22×C6114yescomplemented
362C2×#121—21no—
363C2×#121C22×C6112yes—
364C2×#120C22×C6111yescharacteristic
365C2×#120C22×C6114yescomplemented
366C2×C4×D4C22×C6111yescharacteristic
367C22×C22⋊C4C22×C6111yescharacteristic, complemented
368#458—28no—
369B(4,𝔽2)—28no—
370C2×#99C22×C6112yes—
371C2×#99C22×C6114yescomplemented
372C2×#99C22×C6114yescomplemented
373#399—22no—
374#396—21no—
375#394—21no—
376#392—22no—
377#390—24no—
378#388—21no—
379#386—21no—
380#381C22×C6111yescharacteristic, complemented
381#380C22×C6111yescharacteristic, complemented
382#379C22×C6111yescharacteristic, complemented
383C4×C22⋊C4C22×C6112yescomplemented
384#342C22×C6112yescomplemented
385C61#2577311yescharacteristic, direct product factor, Sylow
386C25C23×C6111yescharacteristic
387H(5,𝔽2)—24no—
388H(5,𝔽2)—24no—
389H(5,𝔽2)—44no—
390C2×#41—22no—
391C2×#41—24no—
392C22×D4—22no—
393C22×D4—24no—
394C22×D4—21no—
395C22×D4—21no—
396C22×D4—24no—
397C22×D4D4×C6112yescomplemented
398C22×D4C23×C6114yes—
399C22×D4C23×C6111yescharacteristic
400C23×C4D4×C6111yescharacteristic, complemented
401C23×C4C23×C6111yescharacteristic
402C23×C4C23×C6111yescharacteristic
403C4⋊Q8—21no—
404#127—21no—
405#124—22no—
406#123—24no—
407#123—24no—
408#123—24no—
409#123—28no—
410#123—44no—
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—24no—
424#120—28no—
425#120—44no—
426C4×D4—22no—
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—24no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C6111yescharacteristic, complemented
435C2×C4⋊C4D4×C6112yescomplemented
436C2×C22⋊C4—22no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—24no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—21no—
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×C6111yescharacteristic
450C2×C22⋊C4C23×C6111yescharacteristic
451C2×C22⋊C4C23×C6111yescharacteristic
452C2×C22⋊C4C23×C6114yes—
453C2×C42—22no—
454C2×C42D4×C6111yescharacteristic, complemented
455#99—28no—
456#99—28no—
457#99D4×C6118yescomplemented
458#95—22no—
459#95—21no—
460#95—21no—
461#95—21no—
462C24—22no—
463C24—21no—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—42no—
468C24—81no—
469C24C2×D4×C6114yes—
470C24C2×D4×C6111yescharacteristic
471C24C24×C6111yescharacteristic
472#41—48no—
473#41—48no—
474#41—44no—
475#41—44no—
476C2×Q8—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—24no—
480C2×D4—22no—
481C2×D4—24no—
482C2×D4—24no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—48no—
492C2×D4—48no—
493C2×D4—48no—
494C2×D4—44no—
495C2×D4—44no—
496C2×D4—48no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—84no—
502C2×D4—81no—
503C2×D4C2×D4×C6114yes—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—81no—
516C22×C4—81no—
517C22×C4C2×D4×C6114yes—
518C22×C4C2×D4×C6111yescharacteristic
519C22×C4C2×D4×C6111yescharacteristic
520C22×C4C2×D4×C6111yescharacteristic
521C22×C4C2×D4×C6111yescharacteristic
522C22×C4C2×D4×C6112yes—
523C22×C4C2×D4×C6112yes—
524C22×C4C2×D4×C6111yescharacteristic
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—48no—
531C4⋊C4—42no—
532C4⋊C4—81no—
533C22⋊C4—24no—
534C22⋊C4—24no—
535C22⋊C4—22no—
536C22⋊C4—24no—
537C22⋊C4—24no—
538C22⋊C4—22no—
539C22⋊C4—24no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—48no—
543C22⋊C4—48no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C22⋊C4—81no—
551C22⋊C4C2×D4×C6118yescomplemented
552C42—21no—
553C42—21no—
554C42—82no—
555C23—21no—
556C23—21no—
557C23—22no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—44no—
569C23—41no—
570C23—42no—
571C23—44no—
572C23—44no—
573C23—44no—
574C23—41no—
575C23—41no—
576C23—44no—
577C23—41no—
578C23—84no—
579C23—84no—
580C23—82no—
581C23—82no—
582C23#127×C6112yes—
583C23C22×D4×C6111yescharacteristic
584C23C22×D4×C6112yes—
585C23C22×D4×C6112yes—
586C23H(5,𝔽2)×C6112yes—
587Q8—44no—
588D4—28no—
589D4—44no—
590D4—44no—
591D4—48no—
592D4—44no—
593D4—44no—
594D4—44no—
595D4—44no—
596D4—82no—
597D4—82no—
598D4—82no—
599D4—816no—
600D4—84no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—28no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—24no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—48no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—44no—
629C2×C4—41no—
630C2×C4—81no—
631C2×C4#120×C6111yescharacteristic
632C2×C4#120×C6111yescharacteristic
633C2×C4#120×C6112yes—
634C2×C4#127×C6112yes—
635C22—21no—
636C22—22no—
637C22—21no—
638C22—22no—
639C22—22no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—48no—
644C22—42no—
645C22—42no—
646C22—41no—
647C22—41no—
648C22—44no—
649C22—44no—
650C22—42no—
651C22—44no—
652C22—81no—
653C22—84no—
654C22—84no—
655C22—84no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—164no—
661C22C2×#120×C6111yescharacteristic
662C22C2×#127×C6111yescharacteristic
663C22C61×#53511yescharacteristic
664C22D42×C6114yes—
665C4—22no—
666C4—21no—
667C4—21no—
668C4—22no—
669C4—48no—
670C4—44no—
671C4—41no—
672C4—41no—
673C4—81no—
674C4—81no—
675C4—81no—
676C2—24no—
677C2—21no—
678C2—21no—
679C2—42no—
680C2—82no—
681C2—84no—
682C2C61×#243311yescharacteristic
683C2C61×#302511yescharacteristic
684C2C61×#302611yescharacteristic
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×#458C2semidirect
3. C2×C61×B(4,𝔽2)C2semidirect
4. C61×#2539C2semidirect
5. C61×#2534C2semidirect
6. C61×#2022C2semidirect
7. C61×#2021C2semidirect
8. C61×#1964C2semidirect
9. C4×#99×C61C2semidirect
19. C2×#123×C61C22semidirect
23. C2×#120×C61C22semidirect
25. C22×C22⋊C4×C61C22semidirect
29. C2×#99×C61C22semidirect
30. C2×#99×C61C22semidirect
38. C61×#381C22semidirect
39. C61×#380C22semidirect
40. C61×#379C22semidirect
41. C4×C22⋊C4×C61C22semidirect
42. C61×#342C22semidirect
54. C22×D4×C61D4semidirect
57. C23×C4×C61D4semidirect
91. C2×C4⋊C4×C61D4semidirect
92. C2×C4⋊C4×C61D4semidirect
104. C2×C22⋊C4×C61D4semidirect
105. C2×C22⋊C4×C61D4semidirect
111. C2×C42×C61D4semidirect
114. #99×C61D4semidirect
208. C22⋊C4×C61C2×D4semidirect
292. #25773C61direct (N × H)
334. #3496C2×C61semidirect
335. C2×#458C2×C61semidirect
336. C2×B(4,𝔽2)C2×C61semidirect
337. #2539C2×C61semidirect
338. #2534C2×C61semidirect
339. #2022C2×C61semidirect
340. #2021C2×C61semidirect
341. #1964C2×C61semidirect
342. C4×#99C2×C61semidirect
361. C2×#123C22×C61semidirect
365. C2×#120C22×C61semidirect
367. C22×C22⋊C4C22×C61semidirect
371. C2×#99C22×C61semidirect
372. C2×#99C22×C61semidirect
380. #381C22×C61semidirect
381. #380C22×C61semidirect
382. #379C22×C61semidirect
383. C4×C22⋊C4C22×C61semidirect
384. #342C22×C61semidirect
385. C61#25773direct (N × H)
397. C22×D4D4×C61semidirect
400. C23×C4D4×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
457. #99D4×C61semidirect
551. 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×#4582
C2×C61×B(4,𝔽2)2
C61×#25392
C61×#25342
C61×#20222
C61×#20212
C61×#19642
C4×#99×C612
#2577361