Finite Group Databasebeta

← #29602307

Subgroups — #29602307

Order 15616.

2314 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D244C211yesmaximal, characteristic
2C2×#16839651C212yesmaximal, complemented
3C2×#16839624C211yesmaximal, characteristic, complemented
4C2×#16839621C211yesmaximal, characteristic, complemented
5#21444071C212yesmaximal, complemented
6#21444059C212yesmaximal
7#21444055C212yesmaximal, complemented
8#21444040C211yesmaximal, characteristic, complemented
9#21444040C211yesmaximal, characteristic, complemented
10C4×#14519684C211yesmaximal, characteristic, complemented
11C61×#1434C211yesmaximal, characteristic, complemented
12C23×D244C2211yescharacteristic
13C23×C4×D61C2211yescharacteristic
14C23×C4×D61C2211yescharacteristic
15C2×C4×D244—28no—
16C2×C4×D244C418yescomplemented
17C22×C4⋊Dic61C2211yescharacteristic
18C22×#11758196C2212yes—
19C22×#11758198C2212yes—
20C22×#11758198C2212yes—
21C22×#11758198C2212yes—
22C22×#11758198C2212yes—
23C22×#11758198C2211yescharacteristic
24C22×#11758198C2211yescharacteristic
25C22×C4×Dic61C2212yes—
26#16839651—28no—
27#16839624—24no—
28#16839621—24no—
29C2×#14519684C2212yes—
30C2×#14519684C2212yes—
31C2×#14519684C2211yescharacteristic
32C2×#14519684C2212yes—
33C2×#14519684C2212yes—
34C2×#14519684C2211yescharacteristic
35C22×C42×C61C2211yescharacteristic
36C2×#95×C61C2211yescharacteristic
37C2×#95×C61C2212yes—
38C2×#95×C61C2211yescharacteristic
39C2×#95×C61C2212yes—
40C24×D61C2311yescharacteristic
41C24×D61C2311yescharacteristic
42C22×D244—24no—
43C22×D244—22no—
44C22×D244—22no—
45C22×D244—24no—
46C22×D244C2×C414yes—
47C23×Dic61C2311yescharacteristic
48C23×Dic61C2312yes—
49C23×Dic61C2312yes—
50C23×Dic61C2311yescharacteristic
51C22×C4×D61—24no—
52C22×C4×D61—22no—
53C22×C4×D61—22no—
54C22×C4×D61—22no—
55C22×C4×D61—22no—
56C22×C4×D61—24no—
57C22×C4×D61—42no—
58C22×C4×D61—42no—
59C22×C4×D61C2×C414yes—
60C22×C4×D61C2×C414yes—
61C4×D244—232no—
62C2×C4⋊Dic61—24no—
63C2×C4⋊Dic61C2×C414yes—
64C2×#11758196—24no—
65C2×#11758196—24no—
66C2×#11758196—42no—
67C2×#11758198—24no—
68C2×#11758198—24no—
69C2×#11758198—24no—
70C2×#11758198—24no—
71C2×#11758198—24no—
72C2×#11758198—24no—
73C2×#11758198—24no—
74C2×#11758198—24no—
75C2×#11758198—24no—
76C2×#11758198—42no—
77C2×#11758198—42no—
78C2×#11758198—42no—
79C2×#11758198—42no—
80C2×#11758198C2×C414yes—
81C2×#11758198C2×C414yes—
82C2×#11758198D418yes—
83C2×C4×Dic61—24no—
84C2×C4×Dic61—24no—
85C2×C4×Dic61—42no—
86#14519684—24no—
87#14519684—22no—
88#14519684—24no—
89#14519684—24no—
90#14519684—42no—
91#14519684D414yescomplemented
92C23×C4×C61C2312yes—
93C23×C4×C61C2312yes—
94C23×C4×C61C2311yescharacteristic
95C23×C4×C61C2311yescharacteristic
96C23×C4×C61C2311yescharacteristic
97C2×C42×C61—24no—
98C2×C42×C61C2×C414yes—
99#95×C61—22no—
100#95×C61—22no—
101#95×C61—24no—
102#95×C61—24no—
103C24×C61C2411yescharacteristic
104C23×D61—22no—
105C23×D61—21no—
106C23×D61—21no—
107C23×D61—21no—
108C23×D61—21no—
109C23×D61—22no—
110C23×D61—21no—
111C23×D61—21no—
112C23×D61—22no—
113C23×D61—22no—
114C23×D61—22no—
115C23×D61—22no—
116C23×D61—22no—
117C23×D61—21no—
118C23×D61—21no—
119C23×D61—21no—
120C23×D61—21no—
121C23×D61C22×C412yes—
122C23×D61C22×C412yes—
123C23×D61C2×D414yes—
124C23×D61#4112yes—
125C23×D61#4112yes—
126C22×C4×C61—22no—
127C22×C4×C61—22no—
128C22×C4×C61—21no—
129C22×C4×C61—21no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—21no—
133C22×C4×C61—21no—
134C22×C4×C61—22no—
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—22no—
142C22×C4×C61—22no—
143C22×C4×C61—22no—
144C22×C4×C61—22no—
145C22×C4×C61—22no—
146C22×C4×C61—22no—
147C22×C4×C61—22no—
148C22×C4×C61C22×C412yes—
149C22×C4×C61C22×C412yes—
150C22×C4×C61C22×C412yes—
151C22×C4×C61C2×D414yes—
152C22×C4×C61C2×D412yes—
153C22×C4×C61#4114yes—
154C22×C4×C61#4112yes—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—22no—
158C22×Dic61—21no—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61—21no—
163C22×Dic61—22no—
164C22×Dic61—22no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—22no—
170C22×Dic61—22no—
171C22×Dic61—22no—
172C22×Dic61—22no—
173C22×Dic61—22no—
174C22×Dic61C22×C412yes—
175C22×Dic61C22×C412yes—
176C22×Dic61C2×D414yes—
177C22×Dic61C2×D414yes—
178C22×Dic61#4114yes—
179C2×D244—216no—
180C2×D244—216no—
181C2×D244—28no—
182C2×D244—28no—
183C2×D244—28no—
184C2×C4×D61—28no—
185C2×C4×D61—28no—
186C2×C4×D61—28no—
187C2×C4×D61—28no—
188C2×C4×D61—44no—
189C2×C4×D61—44no—
190C2×C4×D61—48no—
191C2×C4×D61—48no—
192C2×C4×D61—48no—
193C2×C4×D61—48no—
194C42×C61—28no—
195#11758198—28no—
196#11758198—48no—
197#11758198—48no—
198#11758198—48no—
199#11758198—48no—
200#11758198C22⋊C4116yescomplemented
201C4⋊Dic61—28no—
202#11758196—48no—
203C4×Dic61—48no—
204C23×C61C23×C411yescharacteristic
205C23×C61C22×D412yes—
206C23×C61C22×D411yescharacteristic
207C23×C61C2×#4112yes—
208C23×C61C2×#4111yescharacteristic
209C23×C61C2×#4111yescharacteristic
210C23×C61C2×#4111yescharacteristic
211C23×C61C2×#4112yes—
212C23×C61H(5,𝔽2)12yes—
213C23×C61H(5,𝔽2)11yescharacteristic
214C23×C612−1+411yescharacteristic
215C22×D61—22no—
216C22×D61—22no—
217C22×D61—22no—
218C22×D61—22no—
219C22×D61—22no—
220C22×D61—22no—
221C22×D61—22no—
222C22×D61—22no—
223C22×D61—22no—
224C22×D61—22no—
225C22×D61—22no—
226C22×D61—22no—
227C22×D61—24no—
228C22×D61—24no—
229C22×D61—24no—
230C22×D61—24no—
231C22×D61—24no—
232C22×D61—22no—
233C22×D61—24no—
234C22×D61—24no—
235C22×D61—24no—
236C22×D61—22no—
237C22×D61—24no—
238C22×D61—22no—
239C22×D61—22no—
240C22×D61—24no—
241C22×D61—42no—
242C22×D61—42no—
243C22×D61—42no—
244C22×D61—42no—
245C22×D61—42no—
246C22×D61—42no—
247C22×D61—42no—
248C22×D61—42no—
249C22×D61—42no—
250C22×D61—42no—
251C22×D61—42no—
252C22×D61—41no—
253C22×D61—42no—
254C22×D61—41no—
255C22×D61—42no—
256C22×D61—41no—
257C22×D61—41no—
258C22×D61—42no—
259C22×D61C2×C22⋊C414yes—
260C22×D61#11714yes—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—24no—
268C2×C4×C61—24no—
269C2×C4×C61—24no—
270C2×C4×C61—24no—
271C2×C4×C61—24no—
272C2×C4×C61—24no—
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×C61—42no—
284C2×C4×C61—42no—
285C2×C4×C61—42no—
286C2×C4×C61—42no—
287C2×C4×C61C2×C22⋊C414yes—
288C2×C4×C61#11714yes—
289C2×C4×C61C4×D414yes—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—24no—
293C2×Dic61—24no—
294C2×Dic61—22no—
295C2×Dic61—22no—
296C2×Dic61—22no—
297C2×Dic61—24no—
298C2×Dic61—24no—
299C2×Dic61—24no—
300C2×Dic61—24no—
301C2×Dic61—24no—
302C2×Dic61—24no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—42no—
307C2×Dic61—42no—
308C2×Dic61—42no—
309C2×Dic61—42no—
310C2×Dic61—42no—
311C2×Dic61—42no—
312C2×Dic61—42no—
313C2×Dic61C2×C22⋊C414yes—
314D244—232no—
315C4×D61—416no—
316C4×D61—416no—
317#13912—611nomaximal, Sylow
318C22×C61C22×C22⋊C411yescharacteristic
319C22×C61C2×#11711yescharacteristic
320C22×C61C2×#11711yescharacteristic
321C22×C61C2×C4×D411yescharacteristic
322C22×C61C4×#4111yescharacteristic
323C22×C61#51811yescharacteristic
324C22×C61#52011yescharacteristic
325C22×C61#52512yes—
326C22×C61#52512yes—
327C22×C61#52912yes—
328C22×C61#53212yes—
329C22×C61#54012yes—
330C22×C61#54212yes—
331C22×C61D4212yes—
332C22×C61#54612yes—
333C22×C61#54612yes—
334C22×C61#54611yescharacteristic
335C22×C61#54712yes—
336C22×C61#54811yescharacteristic
337C22×C61#55112yes—
338C22×C61#55211yescharacteristic
339C22×C61#55312yes—
340C22×C61#55311yescharacteristic
341C2×D61—24no—
342C2×D61—24no—
343C2×D61—24no—
344C2×D61—24no—
345C2×D61—24no—
346C2×D61—24no—
347C2×D61—42no—
348C2×D61—42no—
349C2×D61—42no—
350C2×D61—42no—
351C2×D61—42no—
352C2×D61—42no—
353C2×D61—44no—
354C2×D61—44no—
355C2×D61—44no—
356C2×D61—44no—
357C2×D61—44no—
358C2×D61—44no—
359C2×D61—44no—
360C2×D61—44no—
361C2×D61—42no—
362C2×D61—42no—
363C4×C61—24no—
364C4×C61—24no—
365C4×C61—24no—
366C4×C61—82no—
367C4×C61—82no—
368Dic61—24no—
369Dic61—42no—
370Dic61—44no—
371Dic61—44no—
372C22×C4×D4—611no—
373C2×#388—612no—
374C2×#381—611no—
375C2×#380—611no—
376#1441—612no—
377#1438—612no—
378#1437—612no—
379#1434D6111yescharacteristic, complemented
380C22⋊#95—611no—
381C22⋊#95—611no—
382C4×#95—611no—
383C2×C61#228011yescharacteristic
384C2×C61#229311yescharacteristic
385C2×C61#231911yescharacteristic
386C2×C61D4×C22⋊C411yescharacteristic
387C2×C61#233911yescharacteristic
388C2×C61#235211yescharacteristic
389C2×C61#235311yescharacteristic
390C2×C61#245712yes—
391C2×C61#246112yes—
392C2×C61#246412yes—
393C2×C61#246812yes—
394D61—44no—
395D61—44no—
396C23×D4—611no—
397C24×C4—611no—
398C24×C4—611no—
399C2×C4×D4—618no—
400C2×C4×D4—1228no—
401C22×C4⋊C4—611no—
402C22×C4⋊C4—612no—
403C22×C22⋊C4—611no—
404C22×C22⋊C4—611no—
405C22×C22⋊C4—612no—
406C22×C22⋊C4—612no—
407C22×C22⋊C4—612no—
408C22×C22⋊C4—612no—
409C22×C42—612no—
410C22×C42C2×D6111yescharacteristic
411#388—1228no—
412#381—1224no—
413#380—1224no—
414C2×#95—611no—
415C2×#95—611no—
416C2×#95—612no—
417C2×#95—612no—
418C2×#95—612no—
419C2×#95—612no—
420C2×#95C2×D6111yescharacteristic
421C2×#95C2×D6111yescharacteristic
422C2×#95C2×D6112yes—
423C2×#95C2×D6112yes—
424C61#1391211yescharacteristic, complemented, Sylow
425C25—611no—
426C25—611no—
427C22×D4—614no—
428C22×D4—1224no—
429C22×D4—1222no—
430C22×D4—1222no—
431C22×D4—1224no—
432C23×C4—611no—
433C23×C4—612no—
434C23×C4—612no—
435C23×C4—611no—
436C23×C4—614no—
437C23×C4—614no—
438C23×C4—1224no—
439C23×C4—1224no—
440C23×C4—1222no—
441C23×C4—1222no—
442C23×C4—1222no—
443C23×C4—1222no—
444C23×C4—2442no—
445C23×C4—2442no—
446C23×C4C22×D6112yes—
447C23×C4C22×D6112yes—
448C23×C4C22×D6111yescharacteristic
449C23×C4C22×D6111yescharacteristic
450C23×C4C22×D6111yescharacteristic
451C4×D4—12232no—
452C2×C4⋊C4—614no—
453C2×C4⋊C4—1224no—
454C2×C4⋊C4—1224no—
455C2×C4⋊C4—1224no—
456C2×C4⋊C4—2442no—
457C2×C22⋊C4—614no—
458C2×C22⋊C4—618no—
459C2×C22⋊C4—614no—
460C2×C22⋊C4—1224no—
461C2×C22⋊C4—1224no—
462C2×C22⋊C4—1224no—
463C2×C22⋊C4—1224no—
464C2×C22⋊C4—1224no—
465C2×C22⋊C4—1224no—
466C2×C22⋊C4—1224no—
467C2×C22⋊C4—1224no—
468C2×C22⋊C4—1224no—
469C2×C22⋊C4—2442no—
470C2×C22⋊C4—2442no—
471C2×C22⋊C4—2442no—
472C2×C22⋊C4—2442no—
473C2×C42—24no—
474C2×C42—1224no—
475C2×C42—1224no—
476C2×C42—2442no—
477C2×C42C4×D6114yes—
478#95—24no—
479#95—22no—
480#95—22no—
481#95—24no—
482#95—614no—
483#95—1224no—
484#95—1224no—
485#95—1224no—
486#95—1222no—
487#95—2442no—
488C24—612no—
489C24—612no—
490C24—614no—
491C24—612no—
492C24—612no—
493C24—1221no—
494C24—1221no—
495C24—1222no—
496C24—1222no—
497C24—1222no—
498C24—1221no—
499C24—1221no—
500C24—1222no—
501C24—1222no—
502C24—1221no—
503C24—1221no—
504C24—1221no—
505C24—1221no—
506C24—1222no—
507C24—1222no—
508C24—1221no—
509C24—1221no—
510C24C23×D6111yescharacteristic
511C2×D4—1228no—
512C2×D4—1228no—
513C2×D4—12216no—
514C2×D4—12216no—
515C2×D4—1228no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—21no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—612no—
539C22×C4—614no—
540C22×C4—612no—
541C22×C4—614no—
542C22×C4—614no—
543C22×C4—1228no—
544C22×C4—1228no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—1222no—
548C22×C4—1221no—
549C22×C4—1222no—
550C22×C4—1222no—
551C22×C4—1222no—
552C22×C4—1222no—
553C22×C4—1222no—
554C22×C4—1222no—
555C22×C4—1222no—
556C22×C4—1222no—
557C22×C4—1222no—
558C22×C4—1221no—
559C22×C4—1222no—
560C22×C4—1222no—
561C22×C4—1222no—
562C22×C4—1222no—
563C22×C4—1222no—
564C22×C4—1228no—
565C22×C4—1228no—
566C22×C4—2444no—
567C22×C4—2444no—
568C22×C4—2448no—
569C22×C4—2448no—
570C22×C4—2448no—
571C22×C4—2448no—
572C22×C4C2×C4×D6112yes—
573C22×C4C2×C4×D6112yes—
574C22×C4C2×C4×D6112yes—
575C22×C4#1175822214yes—
576C22×C4D4×D6114yes—
577C22×C4D4×D6112yes—
578C22×C4#1175822612yes—
579C4⋊C4—1228no—
580C4⋊C4—2448no—
581C22⋊C4—6116no—
582C22⋊C4—1228no—
583C22⋊C4—2448no—
584C22⋊C4—2448no—
585C22⋊C4—2448no—
586C22⋊C4—2448no—
587C42—28no—
588C42—2448no—
589C23—614no—
590C23—614no—
591C23—1222no—
592C23—1224no—
593C23—1222no—
594C23—1222no—
595C23—1222no—
596C23—1222no—
597C23—1222no—
598C23—1222no—
599C23—1222no—
600C23—1222no—
601C23—1222no—
602C23—1222no—
603C23—1222no—
604C23—1222no—
605C23—1222no—
606C23—1224no—
607C23—1224no—
608C23—1224no—
609C23—1224no—
610C23—1224no—
611C23—1224no—
612C23—1224no—
613C23—1222no—
614C23—1224no—
615C23—1222no—
616C23—1224no—
617C23—2441no—
618C23—2442no—
619C23—2441no—
620C23—2442no—
621C23—2442no—
622C23—2442no—
623C23—2442no—
624C23—2442no—
625C23—2442no—
626C23—2442no—
627C23—2442no—
628C23—2442no—
629C23—2442no—
630C23—2442no—
631C23—2441no—
632C23—2442no—
633C23—2441no—
634C23—2442no—
635C23C22×C4×D6111yescharacteristic
636C23C2×D4×D6112yes—
637C23C2×D4×D6111yescharacteristic
638C23#41×D6111yescharacteristic
639C23#41×D6112yes—
640C23#41×D6111yescharacteristic
641C23C2×#1175822212yes—
642C23C2×#1175822611yescharacteristic
643C23#1451982312yes—
644C23#1451982311yescharacteristic
645C23#1451982411yescharacteristic
646D4—12232no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—614no—
674C2×C4—1222no—
675C2×C4—1222no—
676C2×C4—1224no—
677C2×C4—1224no—
678C2×C4—1222no—
679C2×C4—1222no—
680C2×C4—1222no—
681C2×C4—1224no—
682C2×C4—1224no—
683C2×C4—1224no—
684C2×C4—1224no—
685C2×C4—1224no—
686C2×C4—1224no—
687C2×C4—24416no—
688C2×C4—24416no—
689C2×C4—2442no—
690C2×C4—2442no—
691C2×C4—2442no—
692C2×C4—2442no—
693C2×C4—2442no—
694C2×C4—2442no—
695C2×C4—2442no—
696C2×C4—2442no—
697C2×C4—2442no—
698C2×C4—2442no—
699C2×C4C22⋊C4×D6114yes—
700C2×C4#1451973414yes—
701C2×C4#1451973914yes—
702C22—1224no—
703C22—1224no—
704C22—1224no—
705C22—1224no—
706C22—1224no—
707C22—1224no—
708C22—2444no—
709C22—2444no—
710C22—2442no—
711C22—2442no—
712C22—2442no—
713C22—2442no—
714C22—2444no—
715C22—2444no—
716C22—2442no—
717C22—2442no—
718C22—2444no—
719C22—2444no—
720C22—2444no—
721C22—2444no—
722C22—2442no—
723C22—2442no—
724C22C2×C22⋊C4×D6111yescharacteristic
725C22#117×D6111yescharacteristic
726C22C2×#1451973411yescharacteristic
727C22C2×#1451973911yescharacteristic
728C22#1684023011yescharacteristic
729C22#1684023611yescharacteristic
730C22#1684024211yescharacteristic
731C22#1684027112yes—
732C22#1684027112yes—
733C22#1684029912yes—
734C22#1684030912yes—
735C22#1684036712yes—
736C22#1684038312yes—
737C22#1684039612yes—
738C22#1684040312yes—
739C22#1684040412yes—
740C22#1684040511yescharacteristic
741C22#1684041012yes—
742C22#1684042011yescharacteristic
743C22#1684043712yes—
744C22#1684045011yescharacteristic
745C22#1684046312yes—
746C22#1684046511yescharacteristic
747C4—24no—
748C4—24no—
749C4—24no—
750C4—82no—
751C4—82no—
752C4—1224no—
753C4—2444no—
754C4—2444no—
755C4—2442no—
756C2—2444no—
757C2—2444no—
758C2#2144820011yescharacteristic
759C2#2144828011yescharacteristic
760C2#2144846311yescharacteristic
761C2#2144863911yescharacteristic
762C2#2144864311yescharacteristic
763C2#2144874511yescharacteristic
764C2#2144875211yescharacteristic
765C2#2144972812yes—
766C2#2144978812yes—
767C2#2144982712yes—
768C2#2144988712yes—
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×#1434C2
socle, cosocleC24×C61C24
prime radicalC23×D244C22
hypercenter#1434D61
hypocenterC61#13912
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ #1434

Complements

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

NH ≅ G/Ntype
2. C2×#16839651C2semidirect
3. C2×#16839624C2semidirect
4. C2×#16839621C2semidirect
5. #21444071C2semidirect
7. #21444055C2semidirect
8. #21444040C2semidirect
9. #21444040C2semidirect
10. C4×#14519684C2semidirect
11. C61×#1434C2semidirect
16. C2×C4×D244C4semidirect
91. #14519684D4semidirect
200. #11758198C22⋊C4semidirect
379. #1434D61semidirect
424. C61#13912semidirect

Maximal subgroups

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

subgroupindex
C22×C4×D2442
C2×#168396512
C2×#168396242
C2×#168396212
#214440712
#214440592
#214440552
#214440402
C4×#145196842
C61×#14342
#1391261