Finite Group Databasebeta

← #29723963

Subgroups — #29723963

Order 15616.

994 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839924C211yesmaximal, characteristic
2C2×C4×#11758200C211yesmaximal, characteristic, complemented
3#21449344C211yesmaximal, characteristic, complemented
4#21447362C211yesmaximal, characteristic, complemented
5#21447256C211yesmaximal, characteristic, complemented
6#21447141C211yesmaximal, characteristic, complemented
7#21447015C211yesmaximal, characteristic, complemented
8#21446498C211yesmaximal, characteristic, complemented
9#21446427C211yesmaximal, characteristic, complemented
10#21446163C211yesmaximal, characteristic, complemented
11#21446153C211yesmaximal, characteristic, complemented
12#21446080C211yesmaximal, characteristic, complemented
13#21445819C211yesmaximal, characteristic, complemented
14#21445759C211yesmaximal, characteristic
15C61×#2339C211yesmaximal, characteristic
16C22×#11758202C2211yescharacteristic
17C22×#11758200C2211yescharacteristic
18C2×#14519756C2211yescharacteristic
19C2×C4×Dic122C2211yescharacteristic
20#16839924—24no—
21C4×#11758200—24no—
22C2×#14519708C2211yescharacteristic
23C2×#14519708C2211yescharacteristic
24C2×C4⋊#92418C2211yescharacteristic
25C2×#14519701C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519701C2211yescharacteristic
28C2×#14519700C2211yescharacteristic
29C2×#14519700C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×#14519698C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×C22⋊#92418C2211yescharacteristic
34C2×C22⋊#92418C2211yescharacteristic
35C2×C4×#92418C2211yescharacteristic
36#16839698—21no—
37#16839696—21no—
38#16839668C2211yescharacteristic
39#16839660C2211yescharacteristic
40#16839655—21no—
41#16839645—21no—
42#16839632C2211yescharacteristic
43#16839622C2211yescharacteristic
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50C22×#41×C61C2211yescharacteristic
51C2×C4×D4×C61C2211yescharacteristic
52C2×C4×D4×C61C2211yescharacteristic
53C61×#391C2211yescharacteristic
54C61×#391C2211yescharacteristic
55C61×#386—21no—
56C61×#386—21no—
57C61×#381—21no—
58C61×#380C2211yescharacteristic
59C4×C22⋊C4×C61C2211yescharacteristic
60C2×#95×C61—21no—
61C22×Dic122C2311yescharacteristic
62C2×#11758202—22no—
63C2×#11758202—22no—
64C2×#11758202—41no—
65C2×#11758200—22no—
66C2×#11758200—22no—
67C2×#11758200D414yes—
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71C22×#92418C2311yescharacteristic
72#14519756—22no—
73#14519756—41no—
74C4×Dic122—22no—
75C4×Dic122—41no—
76C2×C4⋊Dic61—21no—
77C2×C4⋊Dic61—21no—
78C2×C4⋊Dic61C2311yescharacteristic
79C2×C4⋊Dic61C2311yescharacteristic
80C2×C4⋊Dic61C2311yescharacteristic
81C2×#11758196—21no—
82C2×#11758196—21no—
83C2×#11758196—21no—
84C2×C22⋊Dic61—21no—
85C2×C22⋊Dic61—21no—
86C2×C4×Dic61—21no—
87#14519708—22no—
88#14519708—41no—
89C4⋊#92418—41no—
90#14519701—22no—
91#14519701—22no—
92#14519701—41no—
93#14519700—22no—
94#14519700—41no—
95#14519698—22no—
96#14519698—22no—
97#14519698—22no—
98C22⋊#92418—22no—
99C22⋊#92418—41no—
100C4×#92418—22no—
101#14519684—21no—
102#14519684—21no—
103#14519684—21no—
104#14519684—21no—
105C2×#41×C61—22no—
106C2×#41×C61—22no—
107C2×#41×C61—22no—
108C2×#41×C61—22no—
109C2×#41×C61—41no—
110C2×#41×C61—41no—
111C22×Q8×C61C2311yescharacteristic
112C22×D4×C61—21no—
113C22×D4×C61C2311yescharacteristic
114C23×C4×C61—21no—
115C23×C4×C61—21no—
116C23×C4×C61—21no—
117C23×C4×C61C2311yescharacteristic
118C4×D4×C61—22no—
119C4×D4×C61—22no—
120C4×D4×C61—41no—
121C4×D4×C61—41no—
122C2×C4⋊C4×C61C2311yescharacteristic
123C2×C4⋊C4×C61C2311yescharacteristic
124C2×C22⋊C4×C61—21no—
125C2×C22⋊C4×C61—21no—
126C2×C22⋊C4×C61—21no—
127C2×C22⋊C4×C61D411yescharacteristic
128C2×C22⋊C4×C61D411yescharacteristic
129C2×C42×C61C2311yescharacteristic
130C2×C42×C61C2311yescharacteristic
131#95×C61—21no—
132#95×C61—21no—
133#95×C61—21no—
134#95×C61—21no—
135#95×C61—21no—
136#95×C61D411yescharacteristic
137#95×C61D411yescharacteristic
138C24×C61—21no—
139C24×C61C2×D411yescharacteristic
140#41×C61—44no—
141#41×C61—44no—
142#41×C61—44no—
143#41×C61—44no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61#4112yes—
150C2×D4×C61—24no—
151C2×D4×C61—21no—
152C2×D4×C61—21no—
153C2×D4×C61—21no—
154C2×D4×C61—42no—
155C2×D4×C61—42no—
156C2×D4×C61C2×D412yes—
157C2×D4×C61#4112yes—
158C2×D4×C61#4112yes—
159C22×C4×C61—24no—
160C22×C4×C61—21no—
161C22×C4×C61—21no—
162C22×C4×C61—21no—
163C22×C4×C61—21no—
164C22×C4×C61—21no—
165C22×C4×C61—21no—
166C22×C4×C61—21no—
167C22×C4×C61—21no—
168C22×C4×C61—21no—
169C22×C4×C61—42no—
170C22×C4×C61—42no—
171C22×C4×C61—42no—
172C22×C4×C61—42no—
173C22×C4×C61—42no—
174C22×C4×C61—42no—
175C22×C4×C61—81no—
176C22×C4×C61—81no—
177C22×C4×C61C2×D411yescharacteristic
178C22×C4×C61C2×D411yescharacteristic
179C22×C4×C61C2×D411yescharacteristic
180C22×C4×C61C2×D411yescharacteristic
181C22×C4×C61C2×D411yescharacteristic
182C22×C4×C61C2411yescharacteristic
183C22×Dic61—21no—
184C22×Dic61—21no—
185C22×Dic61—21no—
186C22×Dic61—21no—
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122C2×D412yes—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C22⋊C4×C61—22no—
198C22⋊C4×C61—22no—
199C22⋊C4×C61—42no—
200C22⋊C4×C61—42no—
201C22⋊C4×C61—81no—
202C42×C61—21no—
203C42×C61—21no—
204C42×C61—21no—
205C42×C61—21no—
206C22⋊Dic61—42no—
207C22⋊Dic61—81no—
208#11758202—44no—
209#11758200—28no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—42no—
217C4⋊Dic61—81no—
218#11758196—42no—
219#11758196—42no—
220#11758196—81no—
221C4×Dic61—42no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418C2×D412yes—
234C23×C61—22no—
235C23×C61—22no—
236C23×C61—22no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—21no—
243C23×C61—21no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61C22×D411yescharacteristic
249Q8×C61—22no—
250Q8×C61—22no—
251Q8×C61—41no—
252Q8×C61—41no—
253D4×C61—22no—
254D4×C61—22no—
255D4×C61—22no—
256D4×C61—48no—
257D4×C61#12314yes—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—22no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—48no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
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—84no—
286C2×C4×C61—84no—
287C2×C4×C61#13512yes—
288C2×C4×C61#13712yes—
289C2×C4×C61C22×D411yescharacteristic
290C2×C4×C61C2×#4111yescharacteristic
291C2×C4×C61C2×#4111yescharacteristic
292C2×C4×C61C2×#4111yescharacteristic
293C2×C4×C61H(5,𝔽2)11yescharacteristic
294C2×C4×C61H(5,𝔽2)11yescharacteristic
295C2×Dic61—22no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307Dic122—22no—
308Dic122—22no—
309Dic122—41no—
310Dic122—41no—
311#92418—22no—
312#92418—41no—
313#92418—41no—
314#92418—41no—
315#24907—611nomaximal, Sylow
316C22×C61—24no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—41no—
327C22×C61—41no—
328C22×C61—41no—
329C22×C61—41no—
330C22×C61#52511yescharacteristic
331C22×C61D4211yescharacteristic
332C22×C61#54611yescharacteristic
333C22×C61C2×#13511yescharacteristic
334C22×C61C2×#13711yescharacteristic
335C22×C61#57711yescharacteristic
336C22×C61#57711yescharacteristic
337C4×C61—22no—
338C4×C61—22no—
339C4×C61—41no—
340C4×C61—41no—
341C4×C61—42no—
342C4×C61—41no—
343C4×C61—81no—
344C4×C61—81no—
345C4×C61C2×#12311yescharacteristic
346C4×C61#53811yescharacteristic
347C4×C61#54611yescharacteristic
348C4×C61#55111yescharacteristic
349Dic61—42no—
350Dic61—81no—
351Dic61—81no—
352Dic61—81no—
353C2×#452—611no—
354C2×C4×SD16—611no—
355#2423—611no—
356#2339D6111yescharacteristic
357#2096—611no—
358#2077—611no—
359#2056—611no—
360#2035—611no—
361#1933—611no—
362#1923—611no—
363#1878—611no—
364#1877—611no—
365#1864—611no—
366#1802—611no—
367#1788—611no—
368C2×C61—44no—
369C2×C61—81no—
370C2×C61#241811yescharacteristic
371C2×C61#310711yescharacteristic
372C2×C61#312511yescharacteristic
373C2×C61#326611yescharacteristic
374C2×C61#328411yescharacteristic
375C2×C61#329611yescharacteristic
376C2×C61#333111yescharacteristic
377C22×#41C2×D6111yescharacteristic
378C22×Q16—611no—
379C22×SD16—611no—
380C2×C22⋊Q8—611no—
381C2×C4×Q8—611no—
382C2×C4×D4C2×D6111yescharacteristic
383C2×C4×D4C2×D6111yescharacteristic
384#452—1224no—
385C4×SD16—1224no—
386C2×#106—611no—
387C2×#106—611no—
388C2×C4⋊C8—611no—
389C2×#103—611no—
390C2×#103—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×#103—611no—
394C2×#102—611no—
395C2×#102—611no—
396C2×#102—611no—
397C2×C22⋊C8—611no—
398C2×C22⋊C8—611no—
399C2×C4×C8—611no—
400#399—1221no—
401#398—1221no—
402#391—611no—
403#391C2×D6111yescharacteristic
404#391C2×D6111yescharacteristic
405#389—611no—
406#388—1221no—
407#387—1221no—
408#386—21no—
409#386—21no—
410#384—611no—
411#381—21no—
412#380—611no—
413#380C2×D6111yescharacteristic
414C4×C22⋊C4C2×D6111yescharacteristic
415C2×#95—21no—
416#340—611no—
417#340—611no—
418#340—611no—
419#340—611no—
420#336—611no—
421#336—611no—
422C61#2490711yescharacteristic, complemented, Sylow
423C2×#41—22no—
424C2×#41—22no—
425C2×#41—22no—
426C2×#41—22no—
427C2×#41—41no—
428C2×#41—41no—
429C22×Q8—611no—
430C22×Q8C22×D6111yescharacteristic
431C22×D4—21no—
432C22×D4C22×D6111yescharacteristic
433C23×C4—21no—
434C23×C4—21no—
435C23×C4—21no—
436C23×C4C22×D6111yescharacteristic
437C2×Q16—1222no—
438C2×Q16—1222no—
439C2×Q16—2441no—
440C2×SD16—614no—
441C2×SD16—1222no—
442C2×SD16—1222no—
443C22×C8—611no—
444C22×C8—611no—
445C22×C8—611no—
446C22×C8—611no—
447C22⋊Q8—1222no—
448C22⋊Q8—2441no—
449C4×Q8—1222no—
450C4×Q8—2441no—
451C4×D4—22no—
452C4×D4—22no—
453C4×D4—41no—
454C4×D4—41no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4C22×D6111yescharacteristic
464C2×C4⋊C4C22×D6111yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4C22⋊D6111yescharacteristic
471C2×C22⋊C4C22⋊D6111yescharacteristic
472C2×C42—1221no—
473C2×C42C22×D6111yescharacteristic
474C2×C42C22×D6111yescharacteristic
475#106—1222no—
476#106—2441no—
477C4⋊C8—2441no—
478#103—1222no—
479#103—1222no—
480#103—1222no—
481#103—2441no—
482#103—2441no—
483#102—1222no—
484#102—1222no—
485#102—1222no—
486C22⋊C8—1222no—
487C22⋊C8—2441no—
488C4×C8—1222no—
489#95—21no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—1221no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498#95C22⋊D6111yescharacteristic
499#95C22⋊D6111yescharacteristic
500C24—21no—
501C24C2×C22⋊D6111yescharacteristic
502#41—44no—
503#41—44no—
504#41—44no—
505#41—44no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—612no—
512C2×Q8—1221no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8—1221no—
516C2×Q8—1221no—
517C2×Q8#1175822212yes—
518C2×D4—24no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4#1175822212yes—
525C2×D4D4×D6112yes—
526C2×D4#1175822412yes—
527C22×C4—24no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—81no—
544C22×C4—81no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4C2×C22⋊D6111yescharacteristic
550C22×C4C2×C22⋊D6111yescharacteristic
551C22×C4C2×C22⋊D6111yescharacteristic
552C22×C4C2×C22⋊D6111yescharacteristic
553C22×C4C2×C22⋊D6111yescharacteristic
554C22×C4C23×D6111yescharacteristic
555Q16—2444no—
556SD16—1228no—
557C2×C8—612no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8—1221no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—4881no—
580C4⋊C4—4881no—
581C4⋊C4—2442no—
582C4⋊C4—2442no—
583C4⋊C4—2442no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—81no—
589C22⋊C4—4881no—
590C22⋊C4—2442no—
591C42—21no—
592C42—21no—
593C42—21no—
594C42—21no—
595C42—2442no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23C22×C22⋊D6111yescharacteristic
611Q8—22no—
612Q8—22no—
613Q8—41no—
614Q8—41no—
615Q8—1222no—
616Q8—1222no—
617Q8—2441no—
618Q8—2441no—
619D4—22no—
620D4—22no—
621D4—22no—
622D4—48no—
623D4#1451975914yes—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—48no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—84no—
652C2×C4—84no—
653C2×C4—1222no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4#1451979712yes—
666C2×C4#1451980712yes—
667C2×C4C2×D4×D6111yescharacteristic
668C2×C4C2×#1175822411yescharacteristic
669C2×C4C2×#1175822211yescharacteristic
670C2×C4C2×#1175822211yescharacteristic
671C2×C4#1451982211yescharacteristic
672C2×C4#1451982211yescharacteristic
673C8—1222no—
674C8—2441no—
675C8—2441no—
676C8—2441no—
677C22—24no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22#1684027311yescharacteristic
692C22D4×C22⋊D6111yescharacteristic
693C22#1684040611yescharacteristic
694C22C2×#1451979711yescharacteristic
695C22C2×#1451980711yescharacteristic
696C22#1684057011yescharacteristic
697C22#1684057311yescharacteristic
698C4—22no—
699C4—22no—
700C4—41no—
701C4—42no—
702C4—41no—
703C4—41no—
704C4—81no—
705C4—81no—
706C4—4881no—
707C4—4881no—
708C4—4881no—
709C4—2442no—
710C4C2×#1451975911yescharacteristic
711C4#1684035011yescharacteristic
712C4#1684040211yescharacteristic
713C4#1684043811yescharacteristic
714C2—44no—
715C2—81no—
716C2#2144928111yescharacteristic
717C2#2145589011yescharacteristic
718C2#2145609611yescharacteristic
719C2#2145732511yescharacteristic
720C2#2145754511yescharacteristic
721C2#2145765411yescharacteristic
722C2#2145813511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2339C2
socleC23×C61C22×D4
prime radicalC22×#41×C61C22
hypercenter#2339D61
hypocenterC61#24907
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11758200C2semidirect
3. #21449344C2semidirect
4. #21447362C2semidirect
5. #21447256C2semidirect
6. #21447141C2semidirect
7. #21447015C2semidirect
8. #21446498C2semidirect
9. #21446427C2semidirect
10. #21446163C2semidirect
11. #21446153C2semidirect
12. #21446080C2semidirect
13. #21445819C2semidirect
422. C61#24907semidirect

Maximal subgroups

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

subgroupindex
C2×#168399242
C2×C4×#117582002
#214493442
#214473622
#214472562
#214471412
#214470152
#214464982
#214464272
#214461632
#214461532
#214460802
#214458192
#214457592
C61×#23392
#2490761