Finite Group Databasebeta

← C61×#14535 #29517968

Subgroups — C61×#14535 #29517968

Order 15616.

2066 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
1C2×C61×#394C211yesmaximal, characteristic
2C2×C61×#386C212yesmaximal
3C2×C61×#385C212yesmaximal, complemented
4C2×C61×#385C212yesmaximal, complemented
5C61×#1442C212yesmaximal, complemented
6C61×#1441C211yesmaximal, characteristic, complemented
7C61×#1440C212yesmaximal, complemented
8C61×#1437C212yesmaximal, complemented
9C61×C4⋊#95C211yesmaximal, characteristic, complemented
10C23×D4×C61C2211yescharacteristic
11C24×C4×C61C2212yes—
12C22×C4⋊C4×C61C2211yescharacteristic
13C22×C4⋊C4×C61C2212yes—
14C22×C4⋊C4×C61C2211yescharacteristic
15C22×C4⋊C4×C61C2211yescharacteristic
16C22×C22⋊C4×C61C2212yes—
17C22×C22⋊C4×C61C2212yes—
18C22×C22⋊C4×C61C2212yes—
19C22×C22⋊C4×C61C2212yes—
20C22×C22⋊C4×C61C2212yes—
21C22×C42×C61C2211yescharacteristic
22C61×#394C418yescomplemented
23C61×#386—28no—
24C61×#385—28no—
25C61×#385—28no—
26C2×#95×C61C2212yes—
27C2×#95×C61C2212yes—
28C2×#95×C61C2212yes—
29C2×#95×C61C2212yes—
30C2×#95×C61C2212yes—
31C2×#95×C61C2212yes—
32C2×#95×C61C2212yes—
33C2×#95×C61C2211yescharacteristic
34C2×#95×C61C2211yescharacteristic
35C25×C61C2312yes—
36C22×D4×C61—24no—
37C22×D4×C61—24no—
38C22×D4×C61—41no—
39C22×D4×C61—41no—
40C22×D4×C61C2×C414yes—
41C23×C4×C61—24no—
42C23×C4×C61—24no—
43C23×C4×C61—24no—
44C23×C4×C61—42no—
45C23×C4×C61—42no—
46C23×C4×C61—42no—
47C23×C4×C61—42no—
48C23×C4×C61C2312yes—
49C23×C4×C61C2311yescharacteristic
50C23×C4×C61C2312yes—
51C23×C4×C61C2311yescharacteristic
52C23×C4×C61C2312yes—
53C23×C4×C61C2312yes—
54C23×C4×C61C2312yes—
55C23×C4×C61C2311yescharacteristic
56C2×C4⋊C4×C61—24no—
57C2×C4⋊C4×C61—24no—
58C2×C4⋊C4×C61—24no—
59C2×C4⋊C4×C61—41no—
60C2×C4⋊C4×C61—41no—
61C2×C4⋊C4×C61—41no—
62C2×C4⋊C4×C61—41no—
63C2×C4⋊C4×C61—42no—
64C2×C4⋊C4×C61—41no—
65C2×C4⋊C4×C61C2×C414yescomplemented
66C2×C4⋊C4×C61D414yescomplemented
67C2×C22⋊C4×C61—24no—
68C2×C22⋊C4×C61—24no—
69C2×C22⋊C4×C61—24no—
70C2×C22⋊C4×C61—24no—
71C2×C22⋊C4×C61—24no—
72C2×C22⋊C4×C61—24no—
73C2×C22⋊C4×C61—24no—
74C2×C22⋊C4×C61—24no—
75C2×C22⋊C4×C61—42no—
76C2×C22⋊C4×C61—42no—
77C2×C22⋊C4×C61—42no—
78C2×C22⋊C4×C61—42no—
79C2×C22⋊C4×C61C2×C418yescomplemented
80C2×C22⋊C4×C61C2×C418yescomplemented
81C2×C22⋊C4×C61D418yes—
82C2×C42×C61—22no—
83C2×C42×C61—41no—
84C2×C42×C61—41no—
85#95×C61—24no—
86#95×C61—24no—
87#95×C61—24no—
88#95×C61—24no—
89#95×C61—24no—
90#95×C61—24no—
91#95×C61—42no—
92#95×C61—41no—
93#95×C61C2×C414yescomplemented
94C24×C61—22no—
95C24×C61—22no—
96C24×C61—22no—
97C24×C61—22no—
98C24×C61—22no—
99C24×C61—22no—
100C24×C61—22no—
101C24×C61—22no—
102C24×C61—22no—
103C24×C61—22no—
104C24×C61—22no—
105C24×C61—22no—
106C24×C61C22×C414yes—
107C24×C61C2×D414yes—
108C24×C61#4114yes—
109C24×C61C2411yescharacteristic
110C2×D4×C61—216no—
111C2×D4×C61—44no—
112C2×D4×C61—44no—
113C2×D4×C61—48no—
114C2×D4×C61—44no—
115C22×C4×C61—21no—
116C22×C4×C61—21no—
117C22×C4×C61—21no—
118C22×C4×C61—21no—
119C22×C4×C61—22no—
120C22×C4×C61—22no—
121C22×C4×C61—22no—
122C22×C4×C61—22no—
123C22×C4×C61—22no—
124C22×C4×C61—22no—
125C22×C4×C61—22no—
126C22×C4×C61—22no—
127C22×C4×C61—22no—
128C22×C4×C61—22no—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—22no—
134C22×C4×C61—21no—
135C22×C4×C61—22no—
136C22×C4×C61—22no—
137C22×C4×C61—22no—
138C22×C4×C61—22no—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—21no—
142C22×C4×C61—22no—
143C22×C4×C61—22no—
144C22×C4×C61—22no—
145C22×C4×C61—22no—
146C22×C4×C61—22no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—22no—
150C22×C4×C61—22no—
151C22×C4×C61—22no—
152C22×C4×C61—22no—
153C22×C4×C61—22no—
154C22×C4×C61—22no—
155C22×C4×C61—22no—
156C22×C4×C61—22no—
157C22×C4×C61—22no—
158C22×C4×C61—48no—
159C22×C4×C61—48no—
160C22×C4×C61—48no—
161C22×C4×C61—48no—
162C22×C4×C61—48no—
163C22×C4×C61—48no—
164C22×C4×C61—48no—
165C22×C4×C61C22×C414yes—
166C22×C4×C61C22×C412yes—
167C22×C4×C61C22×C412yes—
168C22×C4×C61C22×C412yes—
169C22×C4×C61C2×D414yes—
170C22×C4×C61C2×D414yes—
171C22×C4×C61C2×D414yes—
172C22×C4×C61C2×D412yes—
173C22×C4×C61#4112yes—
174C4⋊C4×C61—44no—
175C4⋊C4×C61—44no—
176C4⋊C4×C61—44no—
177C4⋊C4×C61—48no—
178C22⋊C4×C61—216no—
179C22⋊C4×C61—216no—
180C22⋊C4×C61—48no—
181C22⋊C4×C61—48no—
182C22⋊C4×C61—48no—
183C42×C61—44no—
184C23×C61—24no—
185C23×C61—24no—
186C23×C61—24no—
187C23×C61—24no—
188C23×C61—24no—
189C23×C61—24no—
190C23×C61—24no—
191C23×C61—24no—
192C23×C61—24no—
193C23×C61—24no—
194C23×C61—24no—
195C23×C61—24no—
196C23×C61—24no—
197C23×C61—24no—
198C23×C61—24no—
199C23×C61—24no—
200C23×C61—24no—
201C23×C61—24no—
202C23×C61—42no—
203C23×C61—42no—
204C23×C61—42no—
205C23×C61—42no—
206C23×C61—42no—
207C23×C61—42no—
208C23×C61—42no—
209C23×C61—42no—
210C23×C61—42no—
211C23×C61—42no—
212C23×C61—42no—
213C23×C61—42no—
214C23×C61—42no—
215C23×C61—42no—
216C23×C61—42no—
217C23×C61—42no—
218C23×C61C4×D418yes—
219C23×C61C23×C411yescharacteristic
220C23×C61C22×D412yes—
221C23×C61C22×D411yescharacteristic
222C23×C61C2×#4111yescharacteristic
223C23×C61C2×#4112yes—
224C23×C61H(5,𝔽2)11yescharacteristic
225C23×C61H(5,𝔽2)11yescharacteristic
226C23×C61H(5,𝔽2)11yescharacteristic
227C23×C61H(5,𝔽2)12yes—
228C23×C612−1+411yescharacteristic
229C23×C612−1+412yes—
230D4×C61—416no—
231C2×C4×C61—22no—
232C2×C4×C61—22no—
233C2×C4×C61—22no—
234C2×C4×C61—22no—
235C2×C4×C61—22no—
236C2×C4×C61—22no—
237C2×C4×C61—24no—
238C2×C4×C61—24no—
239C2×C4×C61—24no—
240C2×C4×C61—24no—
241C2×C4×C61—22no—
242C2×C4×C61—22no—
243C2×C4×C61—24no—
244C2×C4×C61—24no—
245C2×C4×C61—24no—
246C2×C4×C61—24no—
247C2×C4×C61—24no—
248C2×C4×C61—24no—
249C2×C4×C61—24no—
250C2×C4×C61—24no—
251C2×C4×C61—24no—
252C2×C4×C61—24no—
253C2×C4×C61—432no—
254C2×C4×C61—42no—
255C2×C4×C61—42no—
256C2×C4×C61—42no—
257C2×C4×C61—42no—
258C2×C4×C61—42no—
259C2×C4×C61—42no—
260C2×C4×C61—41no—
261C2×C4×C61—42no—
262C2×C4×C61—42no—
263C2×C4×C61—42no—
264C2×C4×C61—41no—
265C2×C4×C61—42no—
266C2×C4×C61—42no—
267C2×C4×C61—42no—
268C2×C4×C61—42no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—42no—
272C2×C4×C61—42no—
273C2×C4×C61—42no—
274C2×C4×C61—42no—
275C2×C4×C61—42no—
276C2×C4×C61—42no—
277C2×C4×C61—42no—
278C2×C4×C61—42no—
279C2×C4×C61—42no—
280C2×C4×C61—42no—
281C2×C4×C61—42no—
282C2×C4×C61—42no—
283C2×C4×C61C4×D414yes—
284#14535C6111yesmaximal, characteristic, direct product factor, Sylow
285C22×C61—28no—
286C22×C61—28no—
287C22×C61—28no—
288C22×C61—44no—
289C22×C61—44no—
290C22×C61—44no—
291C22×C61—44no—
292C22×C61—44no—
293C22×C61—44no—
294C22×C61—44no—
295C22×C61—44no—
296C22×C61—44no—
297C22×C61—44no—
298C22×C61—44no—
299C22×C61—44no—
300C22×C61C2×C4×D412yes—
301C22×C61C2×C4×D411yescharacteristic
302C22×C61#51811yescharacteristic
303C22×C61#52011yescharacteristic
304C22×C61#52012yes—
305C22×C61#53412yes—
306C22×C61#53411yescharacteristic
307C22×C61#53612yes—
308C22×C61#53711yescharacteristic
309C22×C61#53811yescharacteristic
310C22×C61#53912yes—
311C22×C61#53912yes—
312C22×C61#53911yescharacteristic
313C22×C61D4211yescharacteristic
314C22×C61D4212yes—
315C22×C61#54612yes—
316C22×C61#54712yes—
317C22×C61#54812yes—
318C22×C61#55111yescharacteristic
319C22×C61#55312yes—
320C22×C61H(3,𝔽4)11yescharacteristic
321C22×C61#56212yes—
322C22×C61#56311yescharacteristic
323C4×C61—24no—
324C4×C61—42no—
325C4×C61—42no—
326C4×C61—44no—
327C4×C61—44no—
328C4×C61—44no—
329C4×C61—44no—
330C4×C61—82no—
331C2×#394C2×C6111yescharacteristic
332C2×#386C2×C6112yes—
333C2×#385C2×C6112yescomplemented
334C2×#385C2×C6112yescomplemented
335#1442C2×C6112yescomplemented
336#1441C2×C6111yescharacteristic, complemented
337#1440C2×C6112yescomplemented
338#1437C2×C6112yescomplemented
339C4⋊#95C2×C6111yescharacteristic, complemented
340C2×C61—48no—
341C2×C61#232212yes—
342C2×C61#232511yescharacteristic
343C2×C61#235811yescharacteristic
344C2×C61#236112yes—
345C2×C61#237911yescharacteristic
346C2×C61#267911yescharacteristic
347C2×C61#268011yescharacteristic
348C2×C61#268112yes—
349C2×C61#270812yes—
350C2×C61#272811yescharacteristic
351C2×C61#278211yescharacteristic
352C23×D4C22×C6111yescharacteristic
353C24×C4C22×C6112yes—
354C22×C4⋊C4C22×C6111yescharacteristic
355C22×C4⋊C4C22×C6112yes—
356C22×C4⋊C4C22×C6111yescharacteristic
357C22×C4⋊C4C22×C6111yescharacteristic
358C22×C22⋊C4C22×C6112yes—
359C22×C22⋊C4C22×C6112yes—
360C22×C22⋊C4C22×C6112yes—
361C22×C22⋊C4C22×C6112yes—
362C22×C22⋊C4C22×C6112yes—
363C22×C42C22×C6111yescharacteristic
364#394C4×C6118yescomplemented
365#386—28no—
366#385—28no—
367#385—28no—
368C2×#95C22×C6112yes—
369C2×#95C22×C6112yes—
370C2×#95C22×C6112yes—
371C2×#95C22×C6112yes—
372C2×#95C22×C6112yes—
373C2×#95C22×C6112yes—
374C2×#95C22×C6112yes—
375C2×#95C22×C6111yescharacteristic
376C2×#95C22×C6111yescharacteristic
377C61#1453511yescharacteristic, direct product factor, Sylow
378C25C23×C6112yes—
379C22×D4—24no—
380C22×D4—24no—
381C22×D4—41no—
382C22×D4—41no—
383C22×D4C2×C4×C6114yes—
384C23×C4—24no—
385C23×C4—24no—
386C23×C4—24no—
387C23×C4—42no—
388C23×C4—42no—
389C23×C4—42no—
390C23×C4—42no—
391C23×C4C23×C6112yes—
392C23×C4C23×C6111yescharacteristic
393C23×C4C23×C6112yes—
394C23×C4C23×C6111yescharacteristic
395C23×C4C23×C6112yes—
396C23×C4C23×C6112yes—
397C23×C4C23×C6112yes—
398C23×C4C23×C6111yescharacteristic
399C2×C4⋊C4—24no—
400C2×C4⋊C4—24no—
401C2×C4⋊C4—24no—
402C2×C4⋊C4—41no—
403C2×C4⋊C4—41no—
404C2×C4⋊C4—41no—
405C2×C4⋊C4—41no—
406C2×C4⋊C4—42no—
407C2×C4⋊C4—41no—
408C2×C4⋊C4C2×C4×C6114yescomplemented
409C2×C4⋊C4D4×C6114yescomplemented
410C2×C22⋊C4—24no—
411C2×C22⋊C4—24no—
412C2×C22⋊C4—24no—
413C2×C22⋊C4—24no—
414C2×C22⋊C4—24no—
415C2×C22⋊C4—24no—
416C2×C22⋊C4—24no—
417C2×C22⋊C4—24no—
418C2×C22⋊C4—42no—
419C2×C22⋊C4—42no—
420C2×C22⋊C4—42no—
421C2×C22⋊C4—42no—
422C2×C22⋊C4C2×C4×C6118yescomplemented
423C2×C22⋊C4C2×C4×C6118yescomplemented
424C2×C22⋊C4D4×C6118yes—
425C2×C42—22no—
426C2×C42—41no—
427C2×C42—41no—
428#95—24no—
429#95—24no—
430#95—24no—
431#95—24no—
432#95—24no—
433#95—24no—
434#95—42no—
435#95—41no—
436#95C2×C4×C6114yescomplemented
437C24—22no—
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24—22no—
447C24—22no—
448C24—22no—
449C24C22×C4×C6114yes—
450C24C2×D4×C6114yes—
451C24#41×C6114yes—
452C24C24×C6111yescharacteristic
453C2×D4—216no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—48no—
457C2×D4—44no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4C22×C4×C6114yes—
509C22×C4C22×C4×C6112yes—
510C22×C4C22×C4×C6112yes—
511C22×C4C22×C4×C6112yes—
512C22×C4C2×D4×C6114yes—
513C22×C4C2×D4×C6114yes—
514C22×C4C2×D4×C6114yes—
515C22×C4C2×D4×C6112yes—
516C22×C4#41×C6112yes—
517C4⋊C4—44no—
518C4⋊C4—44no—
519C4⋊C4—44no—
520C4⋊C4—48no—
521C22⋊C4—216no—
522C22⋊C4—216no—
523C22⋊C4—48no—
524C22⋊C4—48no—
525C22⋊C4—48no—
526C42—44no—
527C23—24no—
528C23—24no—
529C23—24no—
530C23—24no—
531C23—24no—
532C23—24no—
533C23—24no—
534C23—24no—
535C23—24no—
536C23—24no—
537C23—24no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—42no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23C4×D4×C6118yes—
562C23C23×C4×C6111yescharacteristic
563C23C22×D4×C6112yes—
564C23C22×D4×C6111yescharacteristic
565C23C2×#41×C6111yescharacteristic
566C23C2×#41×C6112yes—
567C23H(5,𝔽2)×C6111yescharacteristic
568C23H(5,𝔽2)×C6111yescharacteristic
569C23H(5,𝔽2)×C6112yes—
570C23H(5,𝔽2)×C6111yescharacteristic
571C232−1+4×C6111yescharacteristic
572C232−1+4×C6112yes—
573D4—416no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—24no—
596C2×C4—432no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4C4×D4×C6114yes—
627C22—28no—
628C22—28no—
629C22—28no—
630C22—44no—
631C22—44no—
632C22—44no—
633C22—44no—
634C22—44no—
635C22—44no—
636C22—44no—
637C22—44no—
638C22—44no—
639C22—44no—
640C22—44no—
641C22—44no—
642C22C2×C4×D4×C6112yes—
643C22C2×C4×D4×C6111yescharacteristic
644C22C61×#51811yescharacteristic
645C22C61×#52011yescharacteristic
646C22C61×#52012yes—
647C22C61×#53412yes—
648C22C61×#53411yescharacteristic
649C22C61×#53612yes—
650C22C61×#53711yescharacteristic
651C22C61×#53811yescharacteristic
652C22C61×#53912yes—
653C22C61×#53911yescharacteristic
654C22C61×#53912yes—
655C22D42×C6111yescharacteristic
656C22D42×C6112yes—
657C22C61×#54612yes—
658C22C61×#54712yes—
659C22C61×#54812yes—
660C22C61×#55111yescharacteristic
661C22C61×#55312yes—
662C22C61×H(3,𝔽4)11yescharacteristic
663C22C61×#56212yes—
664C22C61×#56311yescharacteristic
665C4—24no—
666C4—42no—
667C4—42no—
668C4—44no—
669C4—44no—
670C4—44no—
671C4—44no—
672C4—82no—
673C2—48no—
674C2C61×#232212yes—
675C2C61×#232511yescharacteristic
676C2C61×#235811yescharacteristic
677C2C61×#236112yes—
678C2C61×#237911yescharacteristic
679C2C61×#267911yescharacteristic
680C2C61×#268011yescharacteristic
681C2C61×#268112yes—
682C2C61×#270812yes—
683C2C61×#272811yescharacteristic
684C2C61×#278211yescharacteristic
subgroupG/H
center, socleC24×C61C24
commutatorC23C23×C4×C61
Frattini, cosocleC24C24×C61
prime radicalC23×D4×C61C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C61 ◁ G

Complements

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

NH ≅ G/Ntype
3. C2×C61×#385C2semidirect
4. C2×C61×#385C2semidirect
5. C61×#1442C2semidirect
6. C61×#1441C2semidirect
7. C61×#1440C2semidirect
8. C61×#1437C2semidirect
9. C61×C4⋊#95C2semidirect
22. C61×#394C4semidirect
65. C2×C4⋊C4×C61C2×C4semidirect
66. C2×C4⋊C4×C61D4semidirect
79. C2×C22⋊C4×C61C2×C4semidirect
80. C2×C22⋊C4×C61C2×C4semidirect
93. #95×C61C2×C4semidirect
284. #14535C61direct (N × H)
333. C2×#385C2×C61semidirect
334. C2×#385C2×C61semidirect
335. #1442C2×C61semidirect
336. #1441C2×C61semidirect
337. #1440C2×C61semidirect
338. #1437C2×C61semidirect
339. C4⋊#95C2×C61semidirect
364. #394C4×C61semidirect
377. C61#14535direct (N × H)
408. C2×C4⋊C4C2×C4×C61semidirect
409. C2×C4⋊C4D4×C61semidirect
422. C2×C22⋊C4C2×C4×C61semidirect
423. C2×C22⋊C4C2×C4×C61semidirect
436. #95C2×C4×C61semidirect

Maximal subgroups

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

subgroupindex
C2×C61×#3942
C2×C61×#3862
C2×C61×#3852
C61×#14422
C61×#14412
C61×#14402
C61×#14372
C61×C4⋊#952
#1453561