Finite Group Databasebeta

← #29715644

Subgroups — #29715644

Order 15616.

1918 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839949C212yesmaximal, complemented
2#21454098C212yesmaximal, complemented
3C4×#14519745C211yesmaximal, characteristic, complemented
4#21447067C212yesmaximal, complemented
5#21446943C212yesmaximal, complemented
6#21446656C212yesmaximal, complemented
7#21445807C211yesmaximal, characteristic, complemented
8#21445767C212yesmaximal, complemented
9C61×#3496C211yesmaximal, characteristic, complemented
10C23×C4×D61C2211yescharacteristic, complemented
11C2×#14519748—22no—
12C2×#14519745C2211yescharacteristic
13C2×#14519745C2214yescomplemented
14C2×C4×C22⋊D61—21no—
15#16839949—28no—
16C2×#14519692C2212yes—
17C2×#14519692C2214yescomplemented
18C2×#14519692C2214yescomplemented
19#16839642C2211yescharacteristic
20#16839642C2214yescomplemented
21#16839638—24no—
22#16839638—21no—
23#16839634C2211yescharacteristic, complemented
24#16839633—21no—
25#16839622C2212yescomplemented
26#16839619—22no—
27#16839617C2211yescharacteristic, complemented
28C4×#11758198—21no—
29C4×C22⋊Dic61C2211yescharacteristic, complemented
30#16839529C2212yescomplemented
31C2×H(5,𝔽2)×C61C2212yes—
32C61×#547—22no—
33C61×#546—24no—
34D42×C61—22no—
35C61×#537—21no—
36C61×#534—21no—
37C61×#534C2212yes—
38C61×#532—21no—
39C2×#121×C61—21no—
40C2×#121×C61C2212yes—
41C2×C4×D4×C61C2211yescharacteristic
42C24×D61C2311yescharacteristic
43C22×C22⋊D61—21no—
44C22×C22⋊D61—24no—
45C23×Dic61C2311yescharacteristic
46C22×C4×D61—21no—
47C22×C4×D61—22no—
48C22×C4×D61—21no—
49C22×C4×D61—22no—
50C22×C4×D61—44no—
51#14519748—48no—
52#14519745—22no—
53#14519745—28no—
54#14519745—44no—
55#14519745D414yescomplemented
56C4×C22⋊D61—44no—
57C2×C4⋊Dic61—22no—
58C2×#11758196—21no—
59C2×C22⋊Dic61—21no—
60C2×C22⋊Dic61—24no—
61C2×C22⋊Dic61C2314yes—
62C2×C22⋊Dic61C2311yescharacteristic
63C2×C22⋊Dic61C2311yescharacteristic
64C2×#11758198—21no—
65C2×#11758198—21no—
66C2×#11758198—24no—
67C2×#11758198—21no—
68C2×C4×Dic61—21no—
69#14519692—24no—
70#14519692—28no—
71#14519692—44no—
72#14519684—21no—
73#14519684—21no—
74#14519684—21no—
75#14519684—24no—
76#14519684—22no—
77H(5,𝔽2)×C61—24no—
78H(5,𝔽2)×C61—24no—
79H(5,𝔽2)×C61—44no—
80C2×#41×C61—22no—
81C2×#41×C61—24no—
82C22×D4×C61—22no—
83C22×D4×C61—24no—
84C22×D4×C61—21no—
85C22×D4×C61D412yescomplemented
86C22×D4×C61C2314yes—
87C22×D4×C61C2311yescharacteristic
88C23×C4×C61D411yescharacteristic, complemented
89C23×C4×C61C2311yescharacteristic
90C4⋊Q8×C61—21no—
91#127×C61—21no—
92#124×C61—22no—
93#123×C61—24no—
94#123×C61—24no—
95C22⋊Q8×C61—24no—
96#121×C61—24no—
97#121×C61—22no—
98#121×C61—22no—
99#121×C61—22no—
100#121×C61—22no—
101#121×C61—22no—
102#121×C61—22no—
103#121×C61—22no—
104#121×C61—22no—
105#120×C61—24no—
106#120×C61—24no—
107C4×D4×C61—22no—
108C4×D4×C61—22no—
109C4×D4×C61—22no—
110C4×D4×C61—22no—
111C2×C4⋊C4×C61—21no—
112C2×C4⋊C4×C61D411yescharacteristic, complemented
113C2×C4⋊C4×C61D412yescomplemented
114C2×C22⋊C4×C61—22no—
115C2×C22⋊C4×C61D411yescharacteristic, complemented
116C2×C22⋊C4×C61D414yescomplemented
117C2×C22⋊C4×C61C2311yescharacteristic
118C2×C42×C61D411yescharacteristic, complemented
119C24×C61—22no—
120C24×C61C2×D414yes—
121C24×C61C2×D411yescharacteristic
122C24×C61C2411yescharacteristic
123C23×D61—22no—
124C23×D61—21no—
125C23×D61—21no—
126C23×D61—22no—
127C23×D61—42no—
128C23×D61—42no—
129C23×D61C2×D412yescomplemented
130#41×C61—48no—
131#41×C61—48no—
132#41×C61—44no—
133#41×C61—44no—
134C2×Q8×C61—22no—
135C2×D4×C61—22no—
136C2×D4×C61—22no—
137C2×D4×C61—24no—
138C2×D4×C61—22no—
139C2×D4×C61—24no—
140C2×D4×C61—24no—
141C2×D4×C61—24no—
142C2×D4×C61—24no—
143C2×D4×C61—24no—
144C2×D4×C61—24no—
145C2×D4×C61—22no—
146C2×D4×C61—22no—
147C2×D4×C61—22no—
148C2×D4×C61—22no—
149C2×D4×C61—44no—
150C2×D4×C61—48no—
151C2×D4×C61—48no—
152C2×D4×C61—44no—
153C2×D4×C61—44no—
154C2×D4×C61—82no—
155C2×D4×C61C2×D412yes—
156C2×D4×C61#4112yes—
157C22×C4×C61—22no—
158C22×C4×C61—24no—
159C22×C4×C61—21no—
160C22×C4×C61—21no—
161C22×C4×C61—42no—
162C22×C4×C61—42no—
163C22×C4×C61C2×D414yes—
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2×D412yes—
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61C2×D411yescharacteristic
168C22×C4×C61C2×D411yescharacteristic
169C22×C4×C61C2×D412yes—
170C22×C4×C61C2×D411yescharacteristic
171C2×C22⋊D61—24no—
172C2×C22⋊D61—42no—
173C2×C22⋊D61—42no—
174C2×C22⋊D61—48no—
175C2×C22⋊D61—48no—
176C2×C22⋊D61—48no—
177C22×Dic61—22no—
178C22×Dic61—21no—
179C22×Dic61—21no—
180C22×Dic61—24no—
181C22×Dic61—21no—
182C22×Dic61—42no—
183C2×C4×D61—24no—
184C2×C4×D61—28no—
185C2×C4×D61—42no—
186C2×C4×D61—44no—
187C2×C4×D61—42no—
188C2×C4×D61—44no—
189C2×C4×D61—42no—
190C2×C4×D61—44no—
191C2×C4×D61—41no—
192C2×C4×D61—42no—
193C2×C4×D61—41no—
194C4⋊C4×C61—22no—
195C4⋊C4×C61—22no—
196C4⋊C4×C61—22no—
197C4⋊C4×C61—22no—
198C4⋊C4×C61—22no—
199C22⋊C4×C61—24no—
200C22⋊C4×C61—24no—
201C22⋊C4×C61—22no—
202C22⋊C4×C61—24no—
203C22⋊C4×C61—22no—
204C22⋊C4×C61—24no—
205C42×C61—21no—
206C42×C61—21no—
207C22⋊Dic61—21no—
208C22⋊Dic61—24no—
209C22⋊Dic61—22no—
210C22⋊Dic61—24no—
211C22⋊Dic61—42no—
212C22⋊Dic61—48no—
213C22⋊Dic61C2×D412yescomplemented
214#11758198—24no—
215#11758198—48no—
216#11758198—42no—
217#11758198—42no—
218C4⋊Dic61—44no—
219#11758196—42no—
220C4×Dic61—42no—
221C23×C61—21no—
222C23×C61—21no—
223C23×C61—24no—
224C23×C61—24no—
225C23×C61—24no—
226C23×C61—41no—
227C23×C61—41no—
228C23×C61—41no—
229C23×C61—41no—
230C23×C61—44no—
231C23×C61—44no—
232C23×C61—44no—
233C23×C61—82no—
234C23×C61—82no—
235C23×C61#12112yescomplemented
236C23×C61C22×D411yescharacteristic
237C23×C61C22×D412yes—
238C23×C61C22×D411yescharacteristic
239C23×C61C2×#4111yescharacteristic
240C23×C61H(5,𝔽2)12yes—
241C22×D61—22no—
242C22×D61—22no—
243C22×D61—24no—
244C22×D61—24no—
245C22×D61—22no—
246C22×D61—24no—
247C22×D61—44no—
248C22×D61—44no—
249C22×D61—48no—
250C22×D61—41no—
251C22×D61—42no—
252C22×D61—41no—
253C22×D61—42no—
254C22×D61—41no—
255C22×D61—41no—
256C22×D61—42no—
257Q8×C61—44no—
258D4×C61—24no—
259D4×C61—24no—
260D4×C61—44no—
261D4×C61—48no—
262D4×C61—44no—
263D4×C61—44no—
264D4×C61—44no—
265D4×C61—44no—
266D4×C61—44no—
267D4×C61—82no—
268D4×C61—82no—
269D4×C61—82no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—22no—
273C2×C4×C61—24no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—24no—
277C2×C4×C61—24no—
278C2×C4×C61—24no—
279C2×C4×C61—42no—
280C2×C4×C61—41no—
281C2×C4×C61—48no—
282C2×C4×C61—44no—
283C2×C4×C61—42no—
284C2×C4×C61—41no—
285C2×C4×C61—41no—
286C2×C4×C61—81no—
287C2×C4×C61#12011yescharacteristic
288C2×C4×C61#12012yes—
289C2×C4×C61#12011yescharacteristic
290C2×C4×C61#12112yescomplemented
291C22⋊D61—48no—
292C22⋊D61—816no—
293C2×Dic61—22no—
294C2×Dic61—24no—
295C2×Dic61—22no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—42no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—44no—
303C2×Dic61—41no—
304C2×Dic61—44no—
305C2×Dic61—41no—
306C2×Dic61—44no—
307C4×D61—44no—
308C4×D61—48no—
309C4×D61—44no—
310#24260—611nomaximal, Sylow
311C22×C61—21no—
312C22×C61—22no—
313C22×C61—21no—
314C22×C61—22no—
315C22×C61—22no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61—44no—
323C22×C61—44no—
324C22×C61—44no—
325C22×C61—81no—
326C22×C61—84no—
327C22×C61—84no—
328C22×C61—164no—
329C22×C61C2×#12011yescharacteristic
330C22×C61C2×#12111yescharacteristic
331C22×C61#53511yescharacteristic
332C22×C61D4212yes—
333C22×C61#54612yes—
334C2×D61—24no—
335C2×D61—28no—
336C2×D61—42no—
337C2×D61—44no—
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—44no—
341C2×D61—44no—
342C2×D61—42no—
343C2×D61—42no—
344C2×D61—42no—
345C4×C61—22no—
346C4×C61—21no—
347C4×C61—22no—
348C4×C61—44no—
349C4×C61—41no—
350C4×C61—41no—
351C4×C61B(4,𝔽2)12yescomplemented
352Dic61—42no—
353Dic61—42no—
354Dic61—81no—
355Dic61—84no—
356#3496D6111yescharacteristic, complemented
357C2×B(4,𝔽2)—612no—
358#2847—612no—
359C4×#120—611no—
360#2044—612no—
361#2021—612no—
362#1964—612no—
363#1799—611no—
364#1790—612no—
365C2×C61—21no—
366C2×C61—22no—
367C2×C61—21no—
368C2×C61—22no—
369C2×C61—42no—
370C2×C61—84no—
371C2×C61#240811yescharacteristic
372C2×C61C2×B(4,𝔽2)11yescharacteristic
373C2×C61#302511yescharacteristic
374D61—44no—
375C2×H(5,𝔽2)C2×D6112yes—
376C24×C4—611no—
377#547—22no—
378#546—24no—
379D42—22no—
380#537—21no—
381#534—21no—
382#534C2×D6112yes—
383#532—21no—
384C2×#121—21no—
385C2×#121—1222no—
386C2×#121C2×D6112yes—
387C2×#120—611no—
388C2×#120—614no—
389C2×C4×D4—1221no—
390C2×C4×D4C2×D6111yescharacteristic
391B(4,𝔽2)—1228no—
392C2×#99—612no—
393C2×#99—614no—
394C2×#99—614no—
395#386—614no—
396#386—611no—
397#386—1224no—
398#386—1221no—
399#385—611no—
400#385—1221no—
401#380—612no—
402#380—1222no—
403#379—611no—
404C4×C22⋊C4—611no—
405C4×C22⋊C4—1221no—
406#342—612no—
407C61#2426011yescharacteristic, complemented, Sylow
408C25—611no—
409H(5,𝔽2)—24no—
410H(5,𝔽2)—24no—
411H(5,𝔽2)—44no—
412C2×#41—22no—
413C2×#41—24no—
414C22×D4—22no—
415C22×D4—24no—
416C22×D4—21no—
417C22×D4—1221no—
418C22×D4—1224no—
419C22×D4C22⋊D6112yescomplemented
420C22×D4C22×D6114yes—
421C22×D4C22×D6111yescharacteristic
422C23×C4—611no—
423C23×C4—1221no—
424C23×C4—1222no—
425C23×C4—1221no—
426C23×C4—1222no—
427C23×C4—2444no—
428C23×C4C22⋊D6111yescharacteristic, complemented
429C23×C4C22×D6111yescharacteristic
430C4⋊Q8—21no—
431#127—21no—
432#124—22no—
433#123—24no—
434#123—24no—
435C22⋊Q8—24no—
436#121—22no—
437#121—22no—
438#121—24no—
439#121—22no—
440#121—22no—
441#121—22no—
442#121—22no—
443#121—22no—
444#121—22no—
445#121—2448no—
446#120—24no—
447#120—24no—
448#120—614no—
449#120—1222no—
450#120—1228no—
451#120—2444no—
452C4×D4—22no—
453C4×D4—22no—
454C4×D4—22no—
455C4×D4—22no—
456C4×D4—2444no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1222no—
460C2×C4⋊C4C22⋊D6111yescharacteristic, complemented
461C2×C4⋊C4C22⋊D6112yescomplemented
462C2×C22⋊C4—22no—
463C2×C22⋊C4—611no—
464C2×C22⋊C4—614no—
465C2×C22⋊C4—611no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1224no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1224no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4C22⋊D6111yescharacteristic, complemented
473C2×C22⋊C4C22⋊D6114yescomplemented
474C2×C22⋊C4C22×D6111yescharacteristic
475C2×C42—1221no—
476C2×C42C22⋊D6111yescharacteristic, complemented
477#99—1228no—
478#99—1224no—
479#99—2444no—
480#95—1221no—
481#95—1221no—
482#95—1221no—
483#95—1222no—
484#95—1224no—
485C24—22no—
486C24—612no—
487C24—1221no—
488C24—1222no—
489C24—1221no—
490C24—1222no—
491C24—2442no—
492C24—2442no—
493C24C2×C22⋊D6114yes—
494C24C2×C22⋊D6111yescharacteristic
495C24C23×D6111yescharacteristic
496#41—48no—
497#41—48no—
498#41—44no—
499#41—44no—
500C2×Q8—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—24no—
504C2×D4—22no—
505C2×D4—24no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—24no—
509C2×D4—24no—
510C2×D4—24no—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—44no—
516C2×D4—48no—
517C2×D4—48no—
518C2×D4—44no—
519C2×D4—44no—
520C2×D4—82no—
521C2×D4—1224no—
522C2×D4—2448no—
523C2×D4—2448no—
524C2×D4—2448no—
525C2×D4—2442no—
526C2×D4—2442no—
527C2×D4D4×D6112yes—
528C2×D4#1175822412yes—
529C22×C4—22no—
530C22×C4—24no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—1224no—
536C22×C4—1228no—
537C22×C4—1221no—
538C22×C4—1222no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1224no—
542C22×C4—2442no—
543C22×C4—2444no—
544C22×C4—2444no—
545C22×C4—2442no—
546C22×C4—2442no—
547C22×C4—2444no—
548C22×C4—2442no—
549C22×C4—2441no—
550C22×C4—2442no—
551C22×C4—2441no—
552C22×C4C2×C22⋊D6114yes—
553C22×C4C2×C22⋊D6111yescharacteristic
554C22×C4C2×C22⋊D6112yes—
555C22×C4C2×C22⋊D6111yescharacteristic
556C22×C4C2×C22⋊D6111yescharacteristic
557C22×C4C2×C22⋊D6111yescharacteristic
558C22×C4C2×C22⋊D6112yes—
559C22×C4C2×C22⋊D6111yescharacteristic
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—2444no—
566C4⋊C4—2442no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—22no—
570C22⋊C4—24no—
571C22⋊C4—22no—
572C22⋊C4—24no—
573C22⋊C4—612no—
574C22⋊C4—1221no—
575C22⋊C4—1224no—
576C22⋊C4—1224no—
577C22⋊C4—1222no—
578C22⋊C4—1224no—
579C22⋊C4—2448no—
580C22⋊C4—2442no—
581C22⋊C4—2442no—
582C22⋊C4—2442no—
583C22⋊C4—2448no—
584C42—21no—
585C42—21no—
586C42—2442no—
587C23—21no—
588C23—21no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—82no—
600C23—82no—
601C23—1222no—
602C23—1222no—
603C23—1224no—
604C23—1224no—
605C23—1222no—
606C23—1224no—
607C23—2441no—
608C23—2442no—
609C23—2441no—
610C23—2442no—
611C23—2444no—
612C23—2444no—
613C23—2448no—
614C23—2441no—
615C23—2441no—
616C23—2442no—
617C23#1451974812yescomplemented
618C23C2×D4×D6111yescharacteristic
619C23C22×C22⋊D6111yescharacteristic
620C23C22×C22⋊D6112yes—
621C23C2×#1175822411yescharacteristic
622C23#1451982212yes—
623Q8—44no—
624D4—24no—
625D4—24no—
626D4—44no—
627D4—48no—
628D4—44no—
629D4—44no—
630D4—44no—
631D4—44no—
632D4—44no—
633D4—82no—
634D4—82no—
635D4—82no—
636D4—48816no—
637D4—2448no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—48no—
650C2×C4—44no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—81no—
655C2×C4—1224no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—2444no—
659C2×C4—2448no—
660C2×C4—2441no—
661C2×C4—2444no—
662C2×C4—2441no—
663C2×C4—2444no—
664C2×C4—2441no—
665C2×C4—2444no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2442no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2444no—
672C2×C4#1451974611yescharacteristic
673C2×C4#1451974612yes—
674C2×C4#1451974611yescharacteristic
675C2×C4#1451974812yescomplemented
676C22—21no—
677C22—22no—
678C22—21no—
679C22—22no—
680C22—22no—
681C22—41no—
682C22—41no—
683C22—42no—
684C22—42no—
685C22—41no—
686C22—41no—
687C22—44no—
688C22—44no—
689C22—44no—
690C22—81no—
691C22—84no—
692C22—84no—
693C22—164no—
694C22—1228no—
695C22—1224no—
696C22—2444no—
697C22—2442no—
698C22—2442no—
699C22—2442no—
700C22—2444no—
701C22—2444no—
702C22—2442no—
703C22—2442no—
704C22—2442no—
705C22C2×#1451974611yescharacteristic
706C22C2×#1451974811yescharacteristic
707C22#1684032911yescharacteristic
708C22D4×C22⋊D6112yes—
709C22#1684040612yes—
710C4—21no—
711C4—22no—
712C4—22no—
713C4—41no—
714C4—41no—
715C4—44no—
716C4—4881no—
717C4—4884no—
718C4—2442no—
719C4—2442no—
720C4#1683994912yescomplemented
721C2—22no—
722C2—21no—
723C2—21no—
724C2—22no—
725C2—42no—
726C2—84no—
727C2—2444no—
728C2#2144916911yescharacteristic
729C2C2×#1683994911yescharacteristic
730C2#2145521111yescharacteristic
subgroupG/H
centerC22C2×#14519746
commutator, cosocleC24×C61C24
FrattiniC24C23×D61
FittingC61×#3496C2
socleC22×C61C2×#120
hypercenter#3496D61
hypocenterC61#24260
LCSG ▷ C24×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3496

Complements

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

NH ≅ G/Ntype
1. C2×#16839949C2semidirect
2. #21454098C2semidirect
3. C4×#14519745C2semidirect
4. #21447067C2semidirect
5. #21446943C2semidirect
6. #21446656C2semidirect
7. #21445807C2semidirect
8. #21445767C2semidirect
9. C61×#3496C2semidirect
10. C23×C4×D61C22semidirect
13. C2×#14519745C22semidirect
17. C2×#14519692C22semidirect
18. C2×#14519692C22semidirect
20. #16839642C22semidirect
23. #16839634C22semidirect
25. #16839622C22semidirect
27. #16839617C22semidirect
29. C4×C22⋊Dic61C22semidirect
30. #16839529C22semidirect
55. #14519745D4semidirect
85. C22×D4×C61D4semidirect
88. C23×C4×C61D4semidirect
112. C2×C4⋊C4×C61D4semidirect
113. C2×C4⋊C4×C61D4semidirect
115. C2×C22⋊C4×C61D4semidirect
116. C2×C22⋊C4×C61D4semidirect
118. C2×C42×C61D4semidirect
129. C23×D61C2×D4semidirect
213. C22⋊Dic61C2×D4semidirect
235. C23×C61#121semidirect
290. C2×C4×C61#121semidirect
351. C4×C61B(4,𝔽2)semidirect
356. #3496D61semidirect
407. C61#24260semidirect
419. C22×D4C22⋊D61semidirect
428. C23×C4C22⋊D61semidirect
460. C2×C4⋊C4C22⋊D61semidirect
461. C2×C4⋊C4C22⋊D61semidirect
472. C2×C22⋊C4C22⋊D61semidirect
473. C2×C22⋊C4C22⋊D61semidirect
476. C2×C42C22⋊D61semidirect
617. C23#14519748semidirect
675. C2×C4#14519748semidirect
720. C4#16839949semidirect

Maximal subgroups

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

subgroupindex
C2×#168399492
#214540982
C4×#145197452
#214470672
#214469432
#214466562
#214458072
#214457672
C61×#34962
#2426061