Finite Group Databasebeta

← #29603484

Subgroups — #29603484

Order 15616.

3422 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519774C211yesmaximal, characteristic
2C22×#14519739C211yesmaximal, characteristic, complemented
3C2×#16839663C211yesmaximal, characteristic, complemented
4C2×#16839663C211yesmaximal, characteristic, complemented
5C2×#16839663C211yesmaximal, characteristic, complemented
6C2×#16839640C214yesmaximal, complemented
7#21444059C214yesmaximal, complemented
8C4×#14519684C211yesmaximal, characteristic, complemented
9C61×C4⋊#95C211yesmaximal, characteristic, complemented
10C23×D244C2211yescharacteristic
11C23×D244C2214yes—
12C23×D244C2211yescharacteristic
13C23×C4×D61C2212yes—
14C2×#14519774—24no—
15C2×#14519774—24no—
16C2×#14519774C418yescomplemented
17C2×#14519739—24no—
18C2×#14519739—24no—
19C2×#14519739—24no—
20C22×#11758198C2212yes—
21C22×#11758198C2212yes—
22C22×#11758198C2214yes—
23C22×#11758198C2214yes—
24C22×#11758198C2212yes—
25C22×C4×Dic61C2211yescharacteristic
26C22×C4×Dic61C2211yescharacteristic
27#16839663—24no—
28#16839663—24no—
29#16839663—24no—
30#16839640—216no—
31C2×#14519684C2212yes—
32C2×#14519684C2212yes—
33C22×C4⋊C4×C61C2211yescharacteristic
34C22×C4⋊C4×C61C2211yescharacteristic
35C22×C42×C61C2211yescharacteristic
36C2×#95×C61C2214yes—
37C24×D61C2312yes—
38C24×D61C2312yes—
39C22×D244—22no—
40C22×D244—22no—
41C22×D244—22no—
42C22×D244—22no—
43C22×D244—28no—
44C22×D244—28no—
45C22×D244—22no—
46C22×D244—22no—
47C22×D244—28no—
48C22×D244—22no—
49C22×D244—22no—
50C22×D244—22no—
51C22×D244—22no—
52C22×D244—28no—
53C22×D244—44no—
54C22×D244—44no—
55C22×D244C2×C414yes—
56C22×D244C2×C414yescomplemented
57C22×D244C2×C4116yescomplemented
58C22×D244D414yes—
59C22×D244D414yes—
60C23×Dic61C2311yescharacteristic
61C23×Dic61C2312yes—
62C23×Dic61C2311yescharacteristic
63C22×C4×D61—24no—
64C22×C4×D61—24no—
65C22×C4×D61—24no—
66C22×C4×D61—28no—
67C22×C4×D61—44no—
68#14519774—232no—
69#14519739—232no—
70C2×#11758198—24no—
71C2×#11758198—24no—
72C2×#11758198—24no—
73C2×#11758198—28no—
74C2×#11758198—28no—
75C2×#11758198—28no—
76C2×#11758198—28no—
77C2×#11758198—28no—
78C2×#11758198—24no—
79C2×#11758198—24no—
80C2×#11758198—44no—
81C2×#11758198—44no—
82C2×#11758198—44no—
83C2×C4×Dic61—22no—
84C2×C4×Dic61—22no—
85C2×C4×Dic61—22no—
86C2×C4×Dic61—22no—
87C2×C4×Dic61—22no—
88C2×C4×Dic61D414yescomplemented
89#14519684—24no—
90#14519684D418yescomplemented
91C23×C4×C61C2312yes—
92C23×C4×C61C2312yes—
93C23×C4×C61C2312yes—
94C23×C4×C61C2311yescharacteristic
95C2×C4⋊C4×C61—22no—
96C2×C4⋊C4×C61—22no—
97C2×C4⋊C4×C61—22no—
98C2×C4⋊C4×C61—22no—
99C2×C4⋊C4×C61—22no—
100C2×C4⋊C4×C61D414yescomplemented
101C2×C42×C61—22no—
102C2×C42×C61—22no—
103C2×C42×C61C2×C414yescomplemented
104#95×C61—28no—
105C24×C61C2411yescharacteristic
106C23×D61—22no—
107C23×D61—22no—
108C23×D61—24no—
109C23×D61—22no—
110C23×D61—22no—
111C23×D61—24no—
112C23×D61—24no—
113C23×D61—24no—
114C23×D61—22no—
115C23×D61—22no—
116C23×D61—22no—
117C23×D61—22no—
118C23×D61—24no—
119C23×D61—22no—
120C23×D61—22no—
121C23×D61—24no—
122C23×D61—24no—
123C23×D61—24no—
124C23×D61C22×C414yes—
125C23×D61C22×C414yes—
126C23×D61C2×D414yes—
127C23×D61C2×D414yes—
128C22×C4×C61—22no—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—24no—
133C22×C4×C61—22no—
134C22×C4×C61—22no—
135C22×C4×C61—24no—
136C22×C4×C61—24no—
137C22×C4×C61—22no—
138C22×C4×C61—22no—
139C22×C4×C61—22no—
140C22×C4×C61—24no—
141C22×C4×C61C22×C414yes—
142C22×C4×C61C22×C412yes—
143C22×C4×C61C2×D414yes—
144C22×C4×C61C2×D414yes—
145C22×C4×C61C2×D412yes—
146C22×C4×C61C2×D412yes—
147C22×C4×C61C2×D412yes—
148C22×C4×C61C2×D412yes—
149C22×C4×C61#4114yes—
150C22×C4×C61#4112yes—
151C22×C4×C61#4112yes—
152C22×Dic61—21no—
153C22×Dic61—21no—
154C22×Dic61—22no—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—22no—
158C22×Dic61—22no—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61—22no—
165C22×Dic61C2×D414yes—
166C22×Dic61C2×D412yes—
167C22×Dic61C2×D414yes—
168C22×Dic61C2×D412yes—
169C2×D244—28no—
170C2×D244—28no—
171C2×D244—28no—
172C2×D244—28no—
173C2×D244—28no—
174C2×D244—28no—
175C2×D244—232no—
176C2×D244—28no—
177C2×D244—28no—
178C2×D244—28no—
179C2×D244—232no—
180C2×D244—416no—
181C2×D244—416no—
182C2×D244—416no—
183C2×D244—416no—
184C2×D244—416no—
185C2×D244—44no—
186C2×D244—44no—
187C2×D244—44no—
188C2×D244—44no—
189C2×D244C22⋊C4116yescomplemented
190C2×C4×D61—216no—
191C2×C4×D61—416no—
192C2×C4×D61—416no—
193C2×C4×D61—48no—
194C2×C4×D61—48no—
195C4⋊C4×C61—28no—
196C4⋊C4×C61—44no—
197C42×C61—28no—
198#11758198—216no—
199#11758198—416no—
200#11758198—416no—
201#11758198—48no—
202#11758198—48no—
203C4×Dic61—28no—
204C4×Dic61—44no—
205C23×C61C23×C411yescharacteristic
206C23×C61C22×D411yescharacteristic
207C23×C61C22×D411yescharacteristic
208C23×C61C22×D411yescharacteristic
209C23×C61C22×D411yescharacteristic
210C23×C61C22×D412yes—
211C23×C61C2×#4111yescharacteristic
212C23×C61C2×#4111yescharacteristic
213C23×C61C2×#4112yes—
214C23×C61H(5,𝔽2)12yes—
215C23×C61H(5,𝔽2)12yes—
216C22×D61—28no—
217C22×D61—24no—
218C22×D61—24no—
219C22×D61—28no—
220C22×D61—24no—
221C22×D61—24no—
222C22×D61—24no—
223C22×D61—24no—
224C22×D61—28no—
225C22×D61—28no—
226C22×D61—28no—
227C22×D61—28no—
228C22×D61—24no—
229C22×D61—24no—
230C22×D61—28no—
231C22×D61—24no—
232C22×D61—28no—
233C22×D61—42no—
234C22×D61—44no—
235C22×D61—42no—
236C22×D61—42no—
237C22×D61—42no—
238C22×D61—44no—
239C22×D61—44no—
240C22×D61—44no—
241C22×D61—44no—
242C22×D61—44no—
243C22×D61—42no—
244C22×D61—42no—
245C22×D61—42no—
246C22×D61—42no—
247C22×D61—42no—
248C22×D61—44no—
249C22×D61—42no—
250C22×D61—42no—
251C22×D61—42no—
252C22×D61—44no—
253C22×D61—44no—
254C22×D61—44no—
255C22×D61—44no—
256C22×D61—44no—
257C22×D61—44no—
258C22×D61—44no—
259C22×D61—44no—
260C22×D61—44no—
261C22×D61C2×C22⋊C418yes—
262C2×C4×C61—24no—
263C2×C4×C61—24no—
264C2×C4×C61—24no—
265C2×C4×C61—24no—
266C2×C4×C61—24no—
267C2×C4×C61—24no—
268C2×C4×C61—24no—
269C2×C4×C61—28no—
270C2×C4×C61—42no—
271C2×C4×C61—42no—
272C2×C4×C61—44no—
273C2×C4×C61—42no—
274C2×C4×C61—42no—
275C2×C4×C61—42no—
276C2×C4×C61—44no—
277C2×C4×C61—44no—
278C2×C4×C61C2×C22⋊C414yes—
279C2×C4×C61C4×D414yes—
280C2×C4×C61C4×D414yes—
281C2×C4×C61C4×D418yescomplemented
282C2×C4×C61#12014yes—
283C2×C4×C61#12114yes—
284C2×C4×C61#12114yes—
285C2×C4×C61#12314yes—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—24no—
289C2×Dic61—24no—
290C2×Dic61—22no—
291C2×Dic61—24no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—24no—
295C2×Dic61—24no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61—42no—
299C2×Dic61—42no—
300C2×Dic61—42no—
301C2×Dic61—42no—
302C2×Dic61#12714yescomplemented
303D244—232no—
304D244—464no—
305D244—416no—
306C4×D61—432no—
307#14025—611nomaximal, Sylow
308C22×C61C22×C22⋊C411yescharacteristic
309C22×C61C2×C4×D411yescharacteristic
310C22×C61C2×C4×D412yes—
311C22×C61C2×C4×D411yescharacteristic
312C22×C61#51812yes—
313C22×C61C2×#12011yescharacteristic
314C22×C61C2×#12111yescharacteristic
315C22×C61C2×#12111yescharacteristic
316C22×C61C2×#12311yescharacteristic
317C22×C61C2×#12711yescharacteristic
318C22×C61#53212yes—
319C22×C61#53211yescharacteristic
320C22×C61#53511yescharacteristic
321C22×C61#53511yescharacteristic
322C22×C61#54012yes—
323C22×C61D4212yes—
324C22×C61D4212yes—
325C22×C61D4212yes—
326C22×C61#54612yes—
327C22×C61#54612yes—
328C22×C61#55012yes—
329C22×C61#55012yes—
330C22×C61#55912yes—
331C2×D61—216no—
332C2×D61—28no—
333C2×D61—44no—
334C2×D61—44no—
335C2×D61—48no—
336C2×D61—48no—
337C2×D61—44no—
338C2×D61—44no—
339C2×D61—48no—
340C2×D61—44no—
341C2×D61—44no—
342C2×D61—44no—
343C2×D61—44no—
344C2×D61—48no—
345C2×D61—48no—
346C2×D61—44no—
347C2×D61—84no—
348C2×D61—82no—
349C2×D61—82no—
350C2×D61—84no—
351C2×D61—82no—
352C2×D61—82no—
353C4×C61—28no—
354C4×C61—44no—
355C4×C61—82no—
356C4×C61#38618yescomplemented
357Dic61—24no—
358Dic61—44no—
359Dic61—42no—
360C22×#127—611no—
361C22×C4×D4—611no—
362C2×#390—611no—
363C2×#390—611no—
364C2×#390—611no—
365C2×#386—614no—
366#1438—614no—
367C4⋊#95D6111yescharacteristic, complemented
368C4×#95—611no—
369C2×C61C2×#38611yescharacteristic
370C2×C61C4×#12711yescharacteristic
371C2×C61#232811yescharacteristic
372C2×C61D4×C22⋊C412yes—
373C2×C61#236612yes—
374C2×C61#242812yes—
375C2×C61#243111yescharacteristic
376C2×C61#243311yescharacteristic
377C2×C61#244512yes—
378C2×C61#254111yescharacteristic
379C2×C61#254411yescharacteristic
380D61—48no—
381D61—84no—
382C23×D4—611no—
383C23×D4—611no—
384C23×D4—614no—
385C24×C4—612no—
386C2×#127—618no—
387C2×#127—1224no—
388C2×#127—1224no—
389C2×C4×D4—1224no—
390C2×C4×D4—1224no—
391C2×C4×D4—1224no—
392C22×C4⋊C4C2×D6111yescharacteristic
393C22×C4⋊C4C2×D6111yescharacteristic
394C22×C22⋊C4—612no—
395C22×C22⋊C4—612no—
396C22×C22⋊C4—614no—
397C22×C22⋊C4—614no—
398C22×C22⋊C4—612no—
399C22×C42—611no—
400C22×C42—611no—
401C22×C42C2×D6111yescharacteristic
402#390—1224no—
403#390—1224no—
404#390—1224no—
405#386—12216no—
406C2×#95—612no—
407C2×#95—612no—
408C2×#95C2×D6114yes—
409C61#1402511yescharacteristic, complemented, Sylow
410C25—612no—
411C25—612no—
412C22×D4—614no—
413C22×D4—614no—
414C22×D4—6116no—
415C22×D4—614no—
416C22×D4—614no—
417C22×D4—1228no—
418C22×D4—1228no—
419C22×D4—1222no—
420C22×D4—1222no—
421C22×D4—1222no—
422C22×D4—1222no—
423C22×D4—1222no—
424C22×D4—1222no—
425C22×D4—1222no—
426C22×D4—1228no—
427C22×D4—1222no—
428C22×D4—1222no—
429C22×D4—1228no—
430C22×D4—1222no—
431C22×D4—2444no—
432C22×D4—2444no—
433C23×C4—611no—
434C23×C4—612no—
435C23×C4—611no—
436C23×C4—1224no—
437C23×C4—1228no—
438C23×C4—1224no—
439C23×C4—1224no—
440C23×C4—2444no—
441C23×C4C22×D6112yes—
442C23×C4C22×D6112yes—
443C23×C4C22×D6112yes—
444C23×C4C22×D6111yescharacteristic
445#127—12232no—
446C4×D4—12232no—
447C2×C4⋊C4—22no—
448C2×C4⋊C4—22no—
449C2×C4⋊C4—22no—
450C2×C4⋊C4—22no—
451C2×C4⋊C4—22no—
452C2×C4⋊C4D24414yescomplemented
453C2×C22⋊C4—1224no—
454C2×C22⋊C4—1224no—
455C2×C22⋊C4—1224no—
456C2×C22⋊C4—1228no—
457C2×C22⋊C4—1228no—
458C2×C22⋊C4—1228no—
459C2×C22⋊C4—1224no—
460C2×C22⋊C4—1224no—
461C2×C22⋊C4—1228no—
462C2×C22⋊C4—1228no—
463C2×C22⋊C4—2444no—
464C2×C22⋊C4—2444no—
465C2×C22⋊C4—2444no—
466C2×C42—22no—
467C2×C42—22no—
468C2×C42—614no—
469C2×C42—1222no—
470C2×C42—1222no—
471C2×C42—1222no—
472C2×C42—1222no—
473C2×C42—1222no—
474C2×C42C4×D6114yescomplemented
475#95—28no—
476#95—618no—
477#95—1224no—
478C24—614no—
479C24—614no—
480C24—614no—
481C24—614no—
482C24—1222no—
483C24—1224no—
484C24—1222no—
485C24—1222no—
486C24—1222no—
487C24—1224no—
488C24—1224no—
489C24—1224no—
490C24—1222no—
491C24—1224no—
492C24—1222no—
493C24—1222no—
494C24—1222no—
495C24—1222no—
496C24—1224no—
497C24—1222no—
498C24—1224no—
499C24—1224no—
500C24C23×D6111yescharacteristic
501C2×D4—6116no—
502C2×D4—12232no—
503C2×D4—1228no—
504C2×D4—1228no—
505C2×D4—1228no—
506C2×D4—12232no—
507C2×D4—1228no—
508C2×D4—1228no—
509C2×D4—1228no—
510C2×D4—1228no—
511C2×D4—1228no—
512C2×D4—1228no—
513C2×D4—24416no—
514C2×D4—24416no—
515C2×D4—24416no—
516C2×D4—24416no—
517C2×D4—24416no—
518C2×D4—2444no—
519C2×D4—2444no—
520C2×D4—2444no—
521C2×D4—2444no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—24no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—24no—
530C22×C4—24no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—24no—
535C22×C4—614no—
536C22×C4—612no—
537C22×C4—614no—
538C22×C4—612no—
539C22×C4—12216no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1222no—
543C22×C4—1221no—
544C22×C4—1222no—
545C22×C4—1221no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1222no—
549C22×C4—1222no—
550C22×C4—1222no—
551C22×C4—1222no—
552C22×C4—1222no—
553C22×C4—24416no—
554C22×C4—2448no—
555C22×C4—24416no—
556C22×C4—2448no—
557C22×C4C2×C4×D6114yes—
558C22×C4C2×C4×D6112yes—
559C22×C4C2×D24414yes—
560C22×C4C2×D24412yes—
561C22×C4#1175822212yes—
562C22×C4D4×D6114yes—
563C22×C4D4×D6112yes—
564C22×C4D4×D6112yes—
565C22×C4D4×D6112yes—
566C22×C4#1175822614yes—
567C22×C4#1175822612yes—
568C4⋊C4—28no—
569C4⋊C4—44no—
570C22⋊C4—12216no—
571C22⋊C4—24416no—
572C22⋊C4—2448no—
573C22⋊C4—24416no—
574C22⋊C4—2448no—
575C42—28no—
576C42—1228no—
577C42—2444no—
578C23—618no—
579C23—1224no—
580C23—1228no—
581C23—1224no—
582C23—1228no—
583C23—1224no—
584C23—1224no—
585C23—1224no—
586C23—1224no—
587C23—1228no—
588C23—1228no—
589C23—1228no—
590C23—1228no—
591C23—1224no—
592C23—1224no—
593C23—1228no—
594C23—1224no—
595C23—1228no—
596C23—2444no—
597C23—2442no—
598C23—2442no—
599C23—2442no—
600C23—2442no—
601C23—2442no—
602C23—2442no—
603C23—2444no—
604C23—2442no—
605C23—2442no—
606C23—2444no—
607C23—2444no—
608C23—2444no—
609C23—2444no—
610C23—2444no—
611C23—2444no—
612C23—2444no—
613C23—2444no—
614C23—2444no—
615C23—2442no—
616C23—2442no—
617C23—2444no—
618C23—2442no—
619C23—2442no—
620C23—2444no—
621C23—2444no—
622C23—2444no—
623C23—2444no—
624C23C22×C4×D6111yescharacteristic
625C23C2×D4×D6111yescharacteristic
626C23C2×D4×D6111yescharacteristic
627C23C2×D4×D6111yescharacteristic
628C23C2×D4×D6112yes—
629C23C22×D24411yescharacteristic
630C23C2×#1175822211yescharacteristic
631C23C2×#1175822612yes—
632C23C2×#1175822611yescharacteristic
633C23#1451982312yes—
634C23#1451982312yes—
635D4—12232no—
636D4—24464no—
637D4—24416no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—28no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—44no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—44no—
653C2×C4—44no—
654C2×C4—614no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1224no—
658C2×C4—1224no—
659C2×C4—1222no—
660C2×C4—1224no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—1224no—
664C2×C4—1224no—
665C2×C4—24432no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4—2442no—
671C2×C4—2442no—
672C2×C4C22⋊C4×D6114yes—
673C2×C4#1451973914yes—
674C2×C4#1451973918yescomplemented
675C2×C4C4×D24414yes—
676C2×C4#1451974714yes—
677C2×C4#1451975014yes—
678C2×C4#1451975214yes—
679C2×C4#1451976214yes—
680C22—1228no—
681C22—12216no—
682C22—4882no—
683C22—4882no—
684C22—4884no—
685C22—4884no—
686C22—4882no—
687C22—4882no—
688C22—2444no—
689C22—2444no—
690C22—2448no—
691C22—2444no—
692C22—2448no—
693C22—2444no—
694C22—2444no—
695C22—2444no—
696C22—2448no—
697C22—2448no—
698C22—2444no—
699C22—2448no—
700C22—2444no—
701C22—2444no—
702C22C2×C22⋊C4×D6111yescharacteristic
703C22C2×#1451973911yescharacteristic
704C22C2×#1451973912yes—
705C22C2×C4×D24411yescharacteristic
706C22#1684023612yes—
707C22C2×#1451974711yescharacteristic
708C22C2×#1451975011yescharacteristic
709C22C2×#1451975211yescharacteristic
710C22C2×#1451976211yescharacteristic
711C22#127×D6111yescharacteristic
712C22#1684031311yescharacteristic
713C22#1684031312yes—
714C22#1684033011yescharacteristic
715C22#1684033011yescharacteristic
716C22#1684036812yes—
717C22#1684039612yes—
718C22#1684039612yes—
719C22D4×D24412yes—
720C22#1684040312yes—
721C22#1684040312yes—
722C22#1684043312yes—
723C22#1684043412yes—
724C22#1684049712yes—
725C4—28no—
726C4—44no—
727C4—82no—
728C4—1224no—
729C4—2444no—
730C4—2442no—
731C4#1683964018yescomplemented
732C2—4884no—
733C2—2448no—
734C2C2×#1683964011yescharacteristic
735C2#2144838111yescharacteristic
736C2#2144854211yescharacteristic
737C2#2144863912yes—
738C2#2144888312yes—
739C2#2144940512yes—
740C2#2144944011yescharacteristic
741C2#2144945511yescharacteristic
742C2#2144958612yes—
743C2#2145076411yescharacteristic
744C2#2145079211yescharacteristic
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×C4⋊#95C2
socle, cosocleC24×C61C24
prime radicalC22×#14519774C2
hypercenterC4⋊#95D61
hypocenterC61#14025
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
2. C22×#14519739C2semidirect
3. C2×#16839663C2semidirect
4. C2×#16839663C2semidirect
5. C2×#16839663C2semidirect
6. C2×#16839640C2semidirect
7. #21444059C2semidirect
8. C4×#14519684C2semidirect
9. C61×C4⋊#95C2semidirect
16. C2×#14519774C4semidirect
56. C22×D244C2×C4semidirect
57. C22×D244C2×C4semidirect
88. C2×C4×Dic61D4semidirect
90. #14519684D4semidirect
100. C2×C4⋊C4×C61D4semidirect
103. C2×C42×C61C2×C4semidirect
189. C2×D244C22⋊C4semidirect
281. C2×C4×C61C4×D4semidirect
302. C2×Dic61#127semidirect
356. C4×C61#386semidirect
367. C4⋊#95D61semidirect
409. C61#14025semidirect
452. C2×C4⋊C4D244semidirect
474. C2×C42C4×D61semidirect
674. C2×C4#14519739semidirect
731. C4#16839640semidirect

Maximal subgroups

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

subgroupindex
C22×#145197742
C22×#145197392
C2×#168396632
C2×#168396402
#214440592
C4×#145196842
C61×C4⋊#952
#1402561