Finite Group Databasebeta

← D61×#1893 #29681678

Subgroups — D61×#1893 #29681678

Order 15616.

2438 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
1C23×C8×D61C211yesmaximal, characteristic, complemented
2C2×#121×D61C211yesmaximal, characteristic
3C2×#102×D61C212yesmaximal, complemented
4#380×D61C211yesmaximal, characteristic, complemented
5#21446248C211yesmaximal, characteristic, complemented
6#21446247C211yesmaximal, characteristic, complemented
7#21446246C212yesmaximal, complemented
8#21446245C211yesmaximal, characteristic, complemented
9#21446244C212yesmaximal, complemented
10#340×D61C212yesmaximal, complemented
11C61×#1893C211yesmaximal, characteristic, complemented
12C22×D4×D61—21no—
13C22×D4×D61C2211yescharacteristic
14C23×C4×D61C2211yescharacteristic
15C23×#92418C2211yescharacteristic, complemented
16C22×C8×D61—28no—
17C22×C8×D61—24no—
18C22×C8×D61C2212yes—
19C22×C8×D61C2212yescomplemented
20C2×#14519752C2211yescharacteristic
21C2×#14519751C2211yescharacteristic
22C2×#14519750—21no—
23C2×#14519749—21no—
24C2×#14519748C2211yescharacteristic
25#121×D61—24no—
26#121×D61C418yescomplemented
27C2×C4⋊C4×D61C2212yes—
28C2×C4⋊C4×D61C2211yescharacteristic
29C2×C22⋊C4×D61—21no—
30C2×C22⋊C4×D61—21no—
31C2×#14519699C2212yescomplemented
32C2×#14519698C2212yescomplemented
33C2×#14519697C2212yescomplemented
34#102×D61—28no—
35#16839622C2211yescharacteristic, complemented
36#16839621—21no—
37#16839620—21no—
38#16839619C2212yescomplemented
39#95×D61—21no—
40#16839525C2212yescomplemented
41#16839524C2212yescomplemented
42#16839524C2212yescomplemented
43C23×C8×C61C2211yescharacteristic, complemented
44C2×#121×C61C2211yescharacteristic
45C2×#102×C61C2212yescomplemented
46C61×#380C2211yescharacteristic, complemented
47C61×#340C2212yescomplemented
48C24×D61—21no—
49C24×D61D411yescharacteristic
50C22×D244—21no—
51C22×D244C2311yescharacteristic
52C22×C22⋊D61—21no—
53C22×C22⋊D61—21no—
54C22×C22⋊D61—21no—
55C2×D4×D61—28no—
56C2×D4×D61—24no—
57C2×D4×D61—22no—
58C2×D4×D61—24no—
59C2×D4×D61—44no—
60C2×D4×D61—44no—
61C2×D4×D61C2×C414yes—
62C23×Dic61D411yescharacteristic
63C22×C4×D61—24no—
64C22×C4×D61—24no—
65C22×C4×D61—21no—
66C22×C4×D61—22no—
67C22×C4×D61C2×C414yes—
68C22×C4×D61D411yescharacteristic
69C22×C4×D61D411yescharacteristic
70C22×C4×D61D414yes—
71C22×C4×D61C2311yescharacteristic
72C22×C4×D61C2311yescharacteristic
73C22×#92418—22no—
74C22×#92418—24no—
75C22×#92418C2312yes—
76C2×C8×D61—232no—
77C2×C8×D61—24no—
78C2×C8×D61—24no—
79C2×C8×D61—24no—
80C2×C8×D61—24no—
81C2×C8×D61—24no—
82C2×C8×D61D418yescomplemented
83#14519752—22no—
84#14519752C2×C414yescomplemented
85#14519751—22no—
86#14519751C2×C414yescomplemented
87#14519750—28no—
88#14519749—28no—
89#14519748—22no—
90#14519748C2×C414yescomplemented
91C2×C4⋊Dic61C2312yes—
92C2×C4⋊Dic61C2311yescharacteristic
93C2×#11758196—21no—
94C2×#11758196—22no—
95C4⋊C4×D61—22no—
96C4⋊C4×D61—24no—
97C4⋊C4×D61—24no—
98C4⋊C4×D61C2×C414yes—
99C2×C22⋊Dic61—21no—
100C2×C22⋊Dic61—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×#11758198—22no—
104C22⋊C4×D61—28no—
105C22⋊C4×D61—44no—
106#14519699—24no—
107#14519698—24no—
108#14519697—24no—
109#14519684—21no—
110#14519684—22no—
111C22×D4×C61—21no—
112C22×D4×C61C2311yescharacteristic
113C23×C4×C61C2311yescharacteristic
114C22×C8×C61—22no—
115C22×C8×C61—24no—
116C22×C8×C61C2312yes—
117#121×C61—22no—
118#121×C61C2×C414yescomplemented
119C2×C4⋊C4×C61C2312yes—
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C22⋊C4×C61—21no—
122C2×C22⋊C4×C61—21no—
123#102×C61—24no—
124#95×C61—21no—
125C24×C61—21no—
126C24×C61C2×D411yescharacteristic
127C23×D61—24no—
128C23×D61—24no—
129C23×D61—21no—
130C23×D61—24no—
131C23×D61—44no—
132C23×D61—42no—
133C23×D61—42no—
134C23×D61—44no—
135C23×D61C22⋊C414yes—
136C23×D61D814yes—
137C23×D61SD1614yes—
138C23×D61C2×D411yescharacteristic
139C23×D61C2×D411yescharacteristic
140C2×D4×C61—24no—
141C2×D4×C61—22no—
142C2×D4×C61—21no—
143C2×D4×C61—22no—
144C2×D4×C61—42no—
145C2×D4×C61—42no—
146C2×D4×C61C22×C412yes—
147C22×C4×C61—22no—
148C22×C4×C61—22no—
149C22×C4×C61—21no—
150C22×C4×C61—22no—
151C22×C4×C61C22×C412yes—
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D412yes—
154C22×C4×C61C2411yescharacteristic
155C2×C22⋊D61—24no—
156C2×C22⋊D61—24no—
157C2×C22⋊D61—24no—
158C2×C22⋊D61—42no—
159C2×C22⋊D61—42no—
160C2×C22⋊D61—42no—
161C2×C22⋊D61—42no—
162C2×C22⋊D61—44no—
163C22×Dic61—24no—
164C22×Dic61—21no—
165C22×Dic61—22no—
166C22×Dic61C22⋊C414yes—
167C22×Dic61C2×D411yescharacteristic
168C22×Dic61C2×D411yescharacteristic
169D4×D61—216no—
170D4×D61—432no—
171D4×D61—44no—
172D4×D61—44no—
173C2×D244—22no—
174C2×D244—22no—
175C2×D244—24no—
176C2×D244—21no—
177C2×D244—42no—
178C2×D244—42no—
179C2×D244C22×C412yes—
180C2×C4×D61—24no—
181C2×C4×D61—22no—
182C2×C4×D61—22no—
183C2×C4×D61—24no—
184C2×C4×D61—216no—
185C2×C4×D61—28no—
186C2×C4×D61—28no—
187C2×C4×D61—24no—
188C2×C4×D61—42no—
189C2×C4×D61—42no—
190C2×C4×D61—44no—
191C2×C4×D61—44no—
192C2×C4×D61—44no—
193C2×C4×D61C22⋊C414yes—
194C2×C4×D61C22⋊C414yes—
195C2×C4×D61C22×C412yes—
196C2×C4×D61C22×C412yes—
197C2×C4×D61C2×D412yes—
198C2×C4×D61C2×D414yes—
199C2×C4×D61C2×D412yes—
200C2×C4×D61#4114yes—
201C2×C8×C61—28no—
202C2×C8×C61—22no—
203C2×C8×C61—22no—
204C2×C8×C61C2×D414yescomplemented
205C4⋊C4×C61—21no—
206C4⋊C4×C61—22no—
207C4⋊C4×C61—22no—
208C4⋊C4×C61C22×C412yes—
209C22⋊C4×C61—24no—
210C22⋊C4×C61—42no—
211C22⋊Dic61—24no—
212C22⋊Dic61—42no—
213#11758198—24no—
214#11758198—24no—
215#11758198—44no—
216C4⋊Dic61—21no—
217C4⋊Dic61—22no—
218C4⋊Dic61—22no—
219C4⋊Dic61C22×C412yes—
220#11758196—24no—
221#11758196—44no—
222C2×#92418—28no—
223C2×#92418—22no—
224C2×#92418—22no—
225C2×#92418C2×D414yescomplemented
226C8×D61—216no—
227C8×D61—216no—
228C23×C61—22no—
229C23×C61—22no—
230C23×C61—22no—
231C23×C61—42no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—42no—
235C23×C61C2×C22⋊C412yes—
236C23×C61C2×D812yes—
237C23×C61C2×SD1612yes—
238C23×C61C22×D411yescharacteristic
239C22×D61—22no—
240C22×D61—22no—
241C22×D61—28no—
242C22×D61—28no—
243C22×D61—216no—
244C22×D61—216no—
245C22×D61—22no—
246C22×D61—42no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—42no—
250C22×D61—48no—
251C22×D61—48no—
252C22×D61—48no—
253C22×D61—88no—
254C22×D61—88no—
255C22×D61#102116yescomplemented
256C22×D61C2×C22⋊C412yes—
257C22×D61C2×C22⋊C412yes—
258C22×D61#12114yes—
259C22×D61C2×D812yes—
260C22×D61C2×D812yes—
261C22×D61C2×SD1612yes—
262C22×D61C2×SD1612yes—
263C22×D61#13514yes—
264D4×C61—24no—
265D4×C61—48no—
266D4×C61—41no—
267D4×C61—41no—
268C2×C4×C61—22no—
269C2×C4×C61—24no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—42no—
276C2×C4×C61—42no—
277C2×C4×C61—42no—
278C2×C4×C61C2×C22⋊C412yes—
279C2×C4×C61C23×C411yescharacteristic
280C2×C4×C61C22×D412yes—
281C2×C4×C61C22×D411yescharacteristic
282C2×C4×C61C2×#4112yes—
283C22⋊D61—48no—
284C22⋊D61—48no—
285C22⋊D61—48no—
286C2×Dic61—22no—
287C2×Dic61—28no—
288C2×Dic61—22no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—42no—
292C2×Dic61—42no—
293C2×Dic61—42no—
294C2×Dic61C2×C22⋊C412yes—
295C2×Dic61C2×C22⋊C412yes—
296C2×Dic61#12114yes—
297D244—24no—
298D244—48no—
299D244—41no—
300D244—41no—
301C4×D61—28no—
302C4×D61—24no—
303C4×D61—22no—
304C4×D61—22no—
305C4×D61—28no—
306C4×D61—48no—
307C4×D61—88no—
308C4×D61C4×D418yes—
309C4×D61#12014yes—
310C4×D61#12314yes—
311C8×C61—24no—
312#92418—24no—
313C2×#1893—611nomaximal, Sylow
314C22×C61—22no—
315C22×C61—24no—
316C22×C61—24no—
317C22×C61—22no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—82no—
322C22×C61—82no—
323C22×C61C2×#10214yescomplemented
324C22×C61C22×C22⋊C411yescharacteristic
325C22×C61C2×#12112yes—
326C22×C61C22×D811yescharacteristic
327C22×C61C22×SD1611yescharacteristic
328C22×C61C2×#13512yes—
329C2×D61—22no—
330C2×D61—24no—
331C2×D61—24no—
332C2×D61—22no—
333C2×D61—232no—
334C2×D61—42no—
335C2×D61—42no—
336C2×D61—42no—
337C2×D61—82no—
338C2×D61—82no—
339C2×D61—816no—
340C2×D61#38614yes—
341C2×D61C2×#10214yes—
342C2×D61C2×#10214yescomplemented
343C2×D61#41614yes—
344C2×D61#46518yes—
345C2×D61#46618yes—
346C4×C61—22no—
347C4×C61—42no—
348C4×C61—82no—
349C4×C61C2×C4×D412yes—
350C4×C61C2×#12011yescharacteristic
351C4×C61C2×#12311yescharacteristic
352Dic61—22no—
353Dic61—42no—
354Dic61—82no—
355Dic61#38614yes—
356C24×C8—611no—
357C22×#121—611no—
358C22×#102—612no—
359C2×#380—611no—
360#1893—612no—
361#1893—611no—
362#1893—612no—
363#1893—611no—
364#1893—611no—
365#1893D6111yescharacteristic, direct product factor
366C2×#340—612no—
367C2×C61—24no—
368C2×C61—82no—
369C2×C61C2×#38611yescharacteristic
370C2×C61C22×#10211yescharacteristic
371C2×C61C2×#41611yescharacteristic
372C2×C61C2×#46512yes—
373C2×C61C2×#46612yes—
374D61—24no—
375D61—82no—
376D61#189318yesdirect product factor
377C23×D4—611no—
378C23×D4—1221no—
379C24×C4—611no—
380C23×C8—612no—
381C23×C8—611no—
382C23×C8—612no—
383C23×C8—1228no—
384C23×C8—1224no—
385C23×C8C2×D6111yescharacteristic, complemented
386C2×#121—611no—
387C2×#121—611no—
388C2×#121—618no—
389C2×#121—611no—
390C2×#121—1221no—
391C2×#121—1224no—
392C2×#121—1221no—
393C2×#121C2×D6111yescharacteristic
394C22×C4⋊C4—611no—
395C22×C4⋊C4—612no—
396C22×C22⋊C4—1221no—
397C22×C22⋊C4—1221no—
398C2×#102—612no—
399C2×#102—612no—
400C2×#102—612no—
401C2×#102—1228no—
402C2×#102C2×D6112yescomplemented
403#380—611no—
404#380—612no—
405#380—1221no—
406#380—1221no—
407#380C2×D6111yescharacteristic, complemented
408C2×#95—1221no—
409#340—612no—
410#340—612no—
411#340—612no—
412#340C2×D6112yescomplemented
413C61C2×#189311yescharacteristic, complemented, Sylow
414C25—611no—
415C25—1221no—
416C22×D4—21no—
417C22×D4—614no—
418C22×D4—611no—
419C22×D4—1221no—
420C22×D4—1224no—
421C22×D4—1224no—
422C22×D4—1222no—
423C22×D4—1221no—
424C22×D4—1228no—
425C22×D4—1221no—
426C22×D4—1221no—
427C22×D4—2444no—
428C22×D4—2444no—
429C22×D4C22×D6111yescharacteristic
430C23×C4—611no—
431C23×C4—611no—
432C23×C4—614no—
433C23×C4—611no—
434C23×C4—614no—
435C23×C4—611no—
436C23×C4—611no—
437C23×C4—1224no—
438C23×C4—1224no—
439C23×C4—1221no—
440C23×C4—1222no—
441C23×C4C22×D6111yescharacteristic
442C22×C8—22no—
443C22×C8—24no—
444C22×C8—612no—
445C22×C8—618no—
446C22×C8—1224no—
447C22×C8—1224no—
448C22×C8—1224no—
449C22×C8—1224no—
450C22×C8—12232no—
451C22×C8—1224no—
452C22×C8—1222no—
453C22×C8—1224no—
454C22×C8C22×D6112yes—
455#121—22no—
456#121—614no—
457#121—614no—
458#121—614no—
459#121—1228no—
460#121—1222no—
461#121—1222no—
462#121—1228no—
463#121—1222no—
464#121C4×D6114yescomplemented
465C2×C4⋊C4—611no—
466C2×C4⋊C4—614no—
467C2×C4⋊C4—612no—
468C2×C4⋊C4—1222no—
469C2×C4⋊C4—1224no—
470C2×C4⋊C4—1224no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4—1222no—
473C2×C4⋊C4C22×D6112yes—
474C2×C4⋊C4C22×D6111yescharacteristic
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—1228no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1222no—
482C2×C22⋊C4—1221no—
483C2×C22⋊C4—2444no—
484#102—24no—
485#102—1224no—
486#102—1224no—
487#102—1224no—
488#95—21no—
489#95—1222no—
490#95—1221no—
491C24—21no—
492C24—611no—
493C24—611no—
494C24—614no—
495C24—614no—
496C24—614no—
497C24—1224no—
498C24—1224no—
499C24—1224no—
500C24—1221no—
501C24—2444no—
502C24—2442no—
503C24—2442no—
504C24—2444no—
505C24D4×D6111yescharacteristic
506C2×D4—24no—
507C2×D4—22no—
508C2×D4—21no—
509C2×D4—22no—
510C2×D4—42no—
511C2×D4—42no—
512C2×D4—612no—
513C2×D4—1224no—
514C2×D4—12216no—
515C2×D4—1224no—
516C2×D4—1224no—
517C2×D4—1224no—
518C2×D4—1222no—
519C2×D4—1221no—
520C2×D4—1222no—
521C2×D4—2442no—
522C2×D4—2442no—
523C2×D4—2444no—
524C2×D4—2444no—
525C2×D4—2444no—
526C2×D4—24432no—
527C2×D4—2442no—
528C2×D4—2442no—
529C2×D4—2442no—
530C2×D4—2442no—
531C2×D4C2×C4×D6112yes—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—21no—
535C22×C4—22no—
536C22×C4—611no—
537C22×C4—612no—
538C22×C4—614no—
539C22×C4—612no—
540C22×C4—614no—
541C22×C4—611no—
542C22×C4—614no—
543C22×C4—612no—
544C22×C4—612no—
545C22×C4—614no—
546C22×C4—614no—
547C22×C4—1228no—
548C22×C4—1224no—
549C22×C4—12216no—
550C22×C4—1228no—
551C22×C4—1224no—
552C22×C4—1224no—
553C22×C4—1224no—
554C22×C4—1222no—
555C22×C4—1222no—
556C22×C4—1221no—
557C22×C4—1222no—
558C22×C4—2444no—
559C22×C4—2444no—
560C22×C4—2444no—
561C22×C4—2442no—
562C22×C4—2442no—
563C22×C4C2×C4×D6112yes—
564C22×C4D4×D6112yes—
565C22×C4D4×D6111yescharacteristic
566C22×C4C23×D6111yescharacteristic
567C2×C8—28no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—614no—
571C2×C8—12216no—
572C2×C8—12216no—
573C2×C8—1228no—
574C2×C8—1222no—
575C2×C8—1222no—
576C2×C8D4×D6114yescomplemented
577C4⋊C4—21no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—612no—
581C4⋊C4—1224no—
582C4⋊C4—1221no—
583C4⋊C4—1222no—
584C4⋊C4—1222no—
585C4⋊C4—2444no—
586C4⋊C4C2×C4×D6112yes—
587C22⋊C4—24no—
588C22⋊C4—42no—
589C22⋊C4—1224no—
590C22⋊C4—1224no—
591C22⋊C4—1224no—
592C22⋊C4—2444no—
593C22⋊C4—2442no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—42no—
598C23—41no—
599C23—41no—
600C23—42no—
601C23—612no—
602C23—614no—
603C23—612no—
604C23—612no—
605C23—614no—
606C23—612no—
607C23—6116no—
608C23—612no—
609C23—612no—
610C23—1228no—
611C23—12216no—
612C23—12216no—
613C23—1228no—
614C23—1222no—
615C23—1222no—
616C23—1222no—
617C23—4888no—
618C23—4888no—
619C23—2448no—
620C23—2448no—
621C23—2448no—
622C23—2442no—
623C23—2441no—
624C23—2441no—
625C23—2442no—
626C23C22⋊C4×D6112yes—
627C23D8×D6112yes—
628C23SD16×D6112yes—
629C23C2×D4×D6111yescharacteristic
630D4—24no—
631D4—48no—
632D4—41no—
633D4—41no—
634D4—1224no—
635D4—2448no—
636D4—2448no—
637D4—2448no—
638D4—2448no—
639D4—2441no—
640D4—2441no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—612no—
652C2×C4—614no—
653C2×C4—618no—
654C2×C4—614no—
655C2×C4—614no—
656C2×C4—612no—
657C2×C4—1228no—
658C2×C4—1228no—
659C2×C4—1228no—
660C2×C4—1222no—
661C2×C4—1224no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—4888no—
666C2×C4—2448no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4C22⋊C4×D6112yes—
673C2×C4C22×C4×D6111yescharacteristic
674C2×C4C2×D4×D6112yes—
675C2×C4C2×D4×D6111yescharacteristic
676C2×C4#41×D6112yes—
677C8—24no—
678C8—1224no—
679C22—24no—
680C22—24no—
681C22—22no—
682C22—22no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—82no—
687C22—82no—
688C22—618no—
689C22—618no—
690C22—614no—
691C22—614no—
692C22—614no—
693C22—614no—
694C22—12232no—
695C22—1224no—
696C22—1224no—
697C22—1222no—
698C22—1222no—
699C22—48816no—
700C22—4882no—
701C22—4882no—
702C22—2442no—
703C22—2442no—
704C22—2442no—
705C22#102×D6114yescomplemented
706C22C2×C22⋊C4×D6111yescharacteristic
707C22#121×D6112yes—
708C22C2×D8×D6111yescharacteristic
709C22C2×SD16×D6111yescharacteristic
710C22#135×D6112yes—
711C4—22no—
712C4—42no—
713C4—82no—
714C4—614no—
715C4—1222no—
716C4—4882no—
717C4—2442no—
718C4C4×D4×D6112yes—
719C4#120×D6111yescharacteristic
720C4#123×D6111yescharacteristic
721C2—24no—
722C2—82no—
723C2—618no—
724C2—1224no—
725C2—4882no—
726C2#386×D6111yescharacteristic
727C2C2×#102×D6111yescharacteristic
728C2#416×D6111yescharacteristic
729C2#465×D6112yes—
730C2#466×D6112yes—
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1893C2
socleC23×C61C22×D4
prime radicalC2×#121×D61C2
cosocleC22×C4×C61C24
hypercenter#1893D61
hypocenterC61C2×#1893
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1893

Complements

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

NH ≅ G/Ntype
1. C23×C8×D61C2semidirect
3. C2×#102×D61C2semidirect
4. #380×D61C2semidirect
5. #21446248C2semidirect
6. #21446247C2semidirect
7. #21446246C2semidirect
8. #21446245C2semidirect
9. #21446244C2semidirect
10. #340×D61C2semidirect
11. C61×#1893C2semidirect
15. C23×#92418C22semidirect
19. C22×C8×D61C22semidirect
26. #121×D61C4semidirect
31. C2×#14519699C22semidirect
32. C2×#14519698C22semidirect
33. C2×#14519697C22semidirect
35. #16839622C22semidirect
38. #16839619C22semidirect
40. #16839525C22semidirect
41. #16839524C22semidirect
42. #16839524C22semidirect
43. C23×C8×C61C22semidirect
45. C2×#102×C61C22semidirect
46. C61×#380C22semidirect
47. C61×#340C22semidirect
82. C2×C8×D61D4semidirect
84. #14519752C2×C4semidirect
86. #14519751C2×C4semidirect
90. #14519748C2×C4semidirect
118. #121×C61C2×C4semidirect
204. C2×C8×C61C2×D4semidirect
225. C2×#92418C2×D4semidirect
255. C22×D61#102semidirect
323. C22×C61C2×#102semidirect
342. C2×D61C2×#102semidirect
365. #1893D61direct (N × H)
376. D61#1893direct (N × H)
385. C23×C8C2×D61semidirect
402. C2×#102C2×D61semidirect
407. #380C2×D61semidirect
412. #340C2×D61semidirect
413. C61C2×#1893semidirect
464. #121C4×D61semidirect
576. C2×C8D4×D61semidirect
705. C22#102×D61semidirect

Maximal subgroups

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

subgroupindex
C23×C8×D612
C2×#121×D612
C2×#102×D612
#380×D612
#214462482
#214462472
#214462462
#214462452
#214462442
#340×D612
C61×#18932
C2×#189361