Finite Group Databasebeta

← #29723822

Subgroups — #29723822

Order 15616.

1016 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839899C211yesmaximal, characteristic
2#21449327C211yesmaximal, characteristic
3Q8×#11758198C211yesmaximal, characteristic, complemented
4#21447359C211yesmaximal, characteristic, complemented
5#21447253C211yesmaximal, characteristic, complemented
6#21447135C211yesmaximal, characteristic, complemented
7#21447006C211yesmaximal, characteristic
8#21446495C211yesmaximal, characteristic, complemented
9#21446425C211yesmaximal, characteristic, complemented
10#21446176C211yesmaximal, characteristic, complemented
11#21446153C211yesmaximal, characteristic, complemented
12#21446087C211yesmaximal, characteristic, complemented
13#21445822C211yesmaximal, characteristic, complemented
14#21445752C211yesmaximal, characteristic, complemented
15C2×C4×SD16×C61C211yesmaximal, characteristic, complemented
16C22×Q8×D61C2211yescharacteristic
17C22×#11758200C2211yescharacteristic
18C2×#14519760—21no—
19C2×#14519748C2211yescharacteristic
20C2×Q8×Dic61C2211yescharacteristic
21#16839899—24no—
22C2×#14519708C2211yescharacteristic
23C2×#14519706C2211yescharacteristic
24C2×#14519702C2211yescharacteristic
25C2×#14519702C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519701C2211yescharacteristic
28C2×#14519700C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×#14519689C2211yescharacteristic
31C2×#14519689C2211yescharacteristic
32#16839690—21no—
33#16839677—21no—
34#16839668—21no—
35#16839668C2211yescharacteristic
36#16839667—21no—
37#16839667C2211yescharacteristic
38#16839665C2211yescharacteristic
39#16839660C2211yescharacteristic
40#16839635—21no—
41#16839631C2211yescharacteristic
42#16839619—21no—
43#16839619C2211yescharacteristic
44#16839619C2211yescharacteristic
45C4×#11758198—21no—
46C4×#11758198C2211yescharacteristic
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839517C2211yescharacteristic
52#16839516C2211yescharacteristic
53C22×SD16×C61C2211yescharacteristic
54C2×C4×Q8×C61C2211yescharacteristic
55C2×C4×D4×C61C2211yescharacteristic
56C4×SD16×C61—24no—
57C2×#106×C61C2211yescharacteristic
58C2×#103×C61C2211yescharacteristic
59C2×#102×C61C2211yescharacteristic
60C2×C4×C8×C61C2211yescharacteristic
61C22×Dic122—21no—
62C22×Dic122C2311yescharacteristic
63C2×Q8×D61—22no—
64C2×Q8×D61—22no—
65C2×Q8×D61—22no—
66C2×Q8×D61—22no—
67C2×Q8×D61—41no—
68C2×Q8×D61—41no—
69C22×C22⋊D61—21no—
70C22×C4×D61—21no—
71C22×C4×D61C2311yescharacteristic
72C2×#11758200—22no—
73C2×#11758200—22no—
74C2×#11758200—41no—
75C22×#92418C2311yescharacteristic
76C22×#92418C2311yescharacteristic
77#14519760—44no—
78#14519748—22no—
79#14519748—41no—
80Q8×Dic61—22no—
81Q8×Dic61—41no—
82C2×C4⋊Dic61—21no—
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C4⋊Dic61C2311yescharacteristic
86C2×#11758196—21no—
87C2×#11758196—21no—
88C2×#11758196—21no—
89C2×C22⋊Dic61—21no—
90C2×C22⋊Dic61—21no—
91C2×C22⋊Dic61—21no—
92C2×#11758198—21no—
93C2×#11758198—21no—
94C2×#11758198D411yescharacteristic
95C2×#11758198D411yescharacteristic
96C2×C4×Dic61—21no—
97C2×C4×Dic61C2311yescharacteristic
98#14519708—41no—
99#14519706—41no—
100#14519702—22no—
101#14519702—22no—
102#14519701—22no—
103#14519701—22no—
104#14519700—41no—
105#14519698—41no—
106#14519689—22no—
107#14519689—41no—
108#14519684—21no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114#14519684—21no—
115#14519684D411yescharacteristic
116#14519684D411yescharacteristic
117C22×Q8×C61C2311yescharacteristic
118C22×D4×C61C2311yescharacteristic
119C23×C4×C61—21no—
120C2×SD16×C61—22no—
121C2×SD16×C61—22no—
122C2×SD16×C61D414yes—
123C22×C8×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C4×Q8×C61—22no—
126C4×Q8×C61—41no—
127C4×D4×C61—22no—
128C4×D4×C61—41no—
129C2×C4⋊C4×C61—21no—
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C22⋊C4×C61—21no—
133C2×C42×C61—21no—
134C2×C42×C61C2311yescharacteristic
135#106×C61—22no—
136#103×C61—22no—
137#102×C61—22no—
138C4×C8×C61—22no—
139C24×C61—21no—
140C23×D61C2×D411yescharacteristic
141C2×Q8×C61—21no—
142C2×Q8×C61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61C2×D412yes—
145C2×Q8×C61#4112yes—
146C2×Q8×C61#4112yes—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61—21no—
152C2×D4×C61C2×D412yes—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—42no—
157C22×C4×C61—42no—
158C22×C4×C61—81no—
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2411yescharacteristic
162C2×C22⋊D61—42no—
163C2×C22⋊D61—42no—
164C2×C22⋊D61—81no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61C2×D411yescharacteristic
170C22×Dic61C2×D411yescharacteristic
171C22×Dic61C2×D411yescharacteristic
172Q8×D61—44no—
173Q8×D61—44no—
174Q8×D61—44no—
175Q8×D61—44no—
176C2×C4×D61—24no—
177C2×C4×D61—21no—
178C2×C4×D61—21no—
179C2×C4×D61—21no—
180C2×C4×D61—21no—
181C2×C4×D61—21no—
182C2×C4×D61—21no—
183C2×C4×D61—42no—
184C2×C4×D61—42no—
185C2×Dic122—21no—
186C2×Dic122—21no—
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—24no—
190C2×Dic122—21no—
191C2×Dic122—42no—
192C2×Dic122—42no—
193C2×Dic122#4112yes—
194SD16×C61—28no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C2×C8×C61C2×D412yes—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—21no—
205C4⋊C4×C61—42no—
206C22⋊C4×C61—42no—
207C42×C61—21no—
208C42×C61—21no—
209C42×C61—42no—
210C22⋊Dic61—42no—
211C22⋊Dic61—42no—
212C22⋊Dic61—42no—
213#11758200—44no—
214#11758198—41no—
215#11758198—42no—
216#11758198—42no—
217#11758198SD1614yescomplemented
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221C4⋊Dic61—21no—
222C4⋊Dic61—21no—
223C4⋊Dic61—21no—
224C4⋊Dic61—42no—
225#11758196—42no—
226#11758196—42no—
227#11758196—81no—
228C4×Dic61—21no—
229C4×Dic61—21no—
230C4×Dic61—42no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C23×C61—22no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61C22×D411yescharacteristic
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—21no—
251C22×D61C2×SD1612yes—
252Q8×C61—22no—
253Q8×C61—22no—
254Q8×C61—22no—
255Q8×C61#12314yescomplemented
256D4×C61—22no—
257D4×C61—22no—
258D4×C61—41no—
259D4×C61—41no—
260C2×C4×C61—22no—
261C2×C4×C61—21no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—84no—
275C2×C4×C61C2×SD1612yes—
276C2×C4×C61C22×D411yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C2×C4×C61C2×#4111yescharacteristic
280C2×C4×C61H(5,𝔽2)11yescharacteristic
281C2×C4×C61H(5,𝔽2)11yescharacteristic
282C22⋊D61—84no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—22no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61C2×SD1612yes—
304C4×D61—48no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—41no—
308C4×D61—41no—
309Dic122—22no—
310Dic122—22no—
311Dic122—48no—
312Dic122—41no—
313Dic122—41no—
314C8×C61—22no—
315C8×C61—41no—
316#92418—41no—
317#92418—41no—
318#24898—611nomaximal, Sylow
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—81no—
323C22×C61—81no—
324C22×C61—81no—
325C22×C61—81no—
326C22×C61#52511yescharacteristic
327C22×C61D4211yescharacteristic
328C22×C61#54611yescharacteristic
329C22×C61C22×SD1611yescharacteristic
330C22×C61#57511yescharacteristic
331C22×C61#57711yescharacteristic
332C22×C61#57811yescharacteristic
333C2×D61—22no—
334C2×D61—22no—
335C2×D61—22no—
336C2×D61—41no—
337C2×D61—41no—
338C2×D61—41no—
339C2×D61—41no—
340C4×C61—24no—
341C4×C61—22no—
342C4×C61—41no—
343C4×C61—81no—
344C4×C61—81no—
345C4×C61C2×#12311yescharacteristic
346C4×C61#53811yescharacteristic
347C4×C61#54611yescharacteristic
348C4×C61#55111yescharacteristic
349Dic61—22no—
350Dic61—42no—
351Dic61—41no—
352Dic61—41no—
353Dic61—81no—
354Dic61—81no—
355Dic61—81no—
356C2×#448—611no—
357C2×C4×SD16D6111yescharacteristic, complemented
358#2422—611no—
359Q8×C22⋊C4—611no—
360#2096—611no—
361#2077—611no—
362#2055—611no—
363#2034—611no—
364#1933—611no—
365#1923—611no—
366#1880—611no—
367#1877—611no—
368#1865—611no—
369#1803—611no—
370#1787—611no—
371C2×C61—82no—
372C2×C61#241811yescharacteristic
373C2×C61#310311yescharacteristic
374C2×C61#312111yescharacteristic
375C2×C61#326911yescharacteristic
376C2×C61D4×SD1611yescharacteristic
377C2×C61#329811yescharacteristic
378C2×C61#332611yescharacteristic
379D61—42no—
380C23×Q8—611no—
381C22×SD16—611no—
382C22×SD16C2×D6111yescharacteristic
383C2×#123—1221no—
384C2×#121—611no—
385C2×C4×Q8—611no—
386C2×C4×Q8C2×D6111yescharacteristic
387C2×C4×D4C2×D6111yescharacteristic
388#448—1224no—
389C4×SD16—24no—
390C2×#106—611no—
391C2×#106C2×D6111yescharacteristic
392C2×C4⋊C8—611no—
393C2×#103—611no—
394C2×#103—611no—
395C2×#103—611no—
396C2×#103—611no—
397C2×#103—611no—
398C2×#103C2×D6111yescharacteristic
399C2×#102—611no—
400C2×#102C2×D6111yescharacteristic
401C2×C22⋊C8—611no—
402C2×C22⋊C8—611no—
403C2×C4×C8C2×D6111yescharacteristic
404#397—1221no—
405#394—1221no—
406#391—611no—
407#391—611no—
408#391—1221no—
409#391—1221no—
410#390—611no—
411#389—611no—
412#385—1221no—
413#384—611no—
414#380—611no—
415#380—611no—
416#380—1221no—
417C4×C22⋊C4—611no—
418C4×C22⋊C4—1221no—
419#340—611no—
420#340—611no—
421#340—611no—
422#340—611no—
423#336—611no—
424#336—611no—
425C61#2489811yescharacteristic, complemented, Sylow
426C22×Q8—611no—
427C22×Q8—1221no—
428C22×Q8—1222no—
429C22×Q8—1222no—
430C22×Q8—1222no—
431C22×Q8—1222no—
432C22×Q8—2441no—
433C22×Q8—2441no—
434C22×Q8C22×D6111yescharacteristic
435C22×D4—1221no—
436C22×D4C22×D6111yescharacteristic
437C23×C4—21no—
438C23×C4—611no—
439C23×C4—1221no—
440C2×SD16—22no—
441C2×SD16—22no—
442C2×SD16—1222no—
443C2×SD16—1222no—
444C2×SD16—2441no—
445C2×SD16C22⋊D6114yes—
446C22×C8—611no—
447C22×C8—611no—
448C22×C8C22×D6111yescharacteristic
449C22×C8C22×D6111yescharacteristic
450#123—2444no—
451#121—1222no—
452#121—2441no—
453C4×Q8—22no—
454C4×Q8—41no—
455C4×Q8—1222no—
456C4×Q8—2441no—
457C4×D4—22no—
458C4×D4—41no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—1221no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4C22×D6111yescharacteristic
468C2×C4⋊C4C22×D6111yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—611no—
471C2×C22⋊C4—611no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C42—21no—
478C2×C42—611no—
479C2×C42—1221no—
480C2×C42C22×D6111yescharacteristic
481#106—22no—
482#106—2441no—
483C4⋊C8—2441no—
484#103—22no—
485#103—1222no—
486#103—1222no—
487#103—1222no—
488#103—1222no—
489#103—2441no—
490#102—22no—
491#102—2441no—
492C22⋊C8—1222no—
493C22⋊C8—2441no—
494C4×C8—22no—
495#95—611no—
496#95—611no—
497#95—1221no—
498#95—1221no—
499#95—1221no—
500#95—1221no—
501#95—1221no—
502#95—1221no—
503#95—1221no—
504C24—21no—
505C24—611no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—612no—
510C2×Q8—1224no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8—1221no—
516C2×Q8—2442no—
517C2×Q8—2442no—
518C2×Q8—2444no—
519C2×Q8—2444no—
520C2×Q8—2444no—
521C2×Q8—2444no—
522C2×Q8#1175822212yes—
523C2×Q8#1175822212yes—
524C2×Q8C2×C22⋊D6112yes—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—4881no—
531C2×D4—2442no—
532C2×D4—2442no—
533C2×D4C2×C22⋊D6112yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—81no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—611no—
543C22×C4—1224no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4—1221no—
550C22×C4—1221no—
551C22×C4—1221no—
552C22×C4—1221no—
553C22×C4—1221no—
554C22×C4—2442no—
555C22×C4—2442no—
556C22×C4D4×D6111yescharacteristic
557C22×C4D4×D6111yescharacteristic
558C22×C4C23×D6111yescharacteristic
559SD16—28no—
560SD16—2444no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8—1221no—
569C2×C8—1221no—
570C2×C8—1221no—
571C2×C8—1221no—
572C2×C8C2×C22⋊D6112yes—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—42no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—1221no—
583C4⋊C4—1221no—
584C4⋊C4—4881no—
585C4⋊C4—2442no—
586C4⋊C4—2442no—
587C4⋊C4—2442no—
588C22⋊C4—42no—
589C22⋊C4—614no—
590C22⋊C4—2441no—
591C22⋊C4—2442no—
592C22⋊C4—2442no—
593C22⋊C4—2442no—
594C22⋊C4—2442no—
595C22⋊C4—2442no—
596C42—21no—
597C42—21no—
598C42—42no—
599C42—1221no—
600C42—1221no—
601C42—2442no—
602C23—22no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—612no—
610C23—1221no—
611C23—1221no—
612C23—1221no—
613C23—1221no—
614C23—1221no—
615C23—1221no—
616C23C2×D4×D6111yescharacteristic
617Q8—22no—
618Q8—22no—
619Q8—22no—
620Q8—1222no—
621Q8—1222no—
622Q8—2448no—
623Q8—2441no—
624Q8—2441no—
625Q8#1451976014yescomplemented
626D4—22no—
627D4—22no—
628D4—41no—
629D4—41no—
630D4—4884no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—84no—
646C2×C4—612no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—1222no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—2448no—
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—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4SD16×D6112yes—
673C2×C4C22×C22⋊D6111yescharacteristic
674C2×C4#41×D6111yescharacteristic
675C2×C4C2×#1175822211yescharacteristic
676C2×C4C2×#1175822211yescharacteristic
677C2×C4#1451982211yescharacteristic
678C2×C4#1451982311yescharacteristic
679C8—22no—
680C8—41no—
681C8—2441no—
682C8—2441no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22—1222no—
691C22—1222no—
692C22—1222no—
693C22—2441no—
694C22—2441no—
695C22—2441no—
696C22—2441no—
697C22#1684027111yescharacteristic
698C22D4×C22⋊D6111yescharacteristic
699C22#1684040811yescharacteristic
700C22C2×SD16×D6111yescharacteristic
701C22#1684055911yescharacteristic
702C22#1684056811yescharacteristic
703C22#1684057611yescharacteristic
704C4—24no—
705C4—22no—
706C4—41no—
707C4—81no—
708C4—81no—
709C4—1222no—
710C4—4881no—
711C4—4881no—
712C4—4881no—
713C4—2441no—
714C4—2442no—
715C4—2441no—
716C4C2×#1451976011yescharacteristic
717C4#1684034511yescharacteristic
718C4#1684040011yescharacteristic
719C4#1684044111yescharacteristic
720C2—82no—
721C2—2442no—
722C2#2144927511yescharacteristic
723C2#2145584811yescharacteristic
724C2#2145604411yescharacteristic
725C2#2145737411yescharacteristic
726C2SD16×C22⋊D6111yescharacteristic
727C2#2145768611yescharacteristic
728C2#2145807711yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C4×SD16×C61C2
socleC23×C61C22×D4
prime radicalC2×#14519748C22
hypercenterC2×C4×SD16D61
hypocenterC61#24898
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
3. Q8×#11758198C2semidirect
4. #21447359C2semidirect
5. #21447253C2semidirect
6. #21447135C2semidirect
8. #21446495C2semidirect
9. #21446425C2semidirect
10. #21446176C2semidirect
11. #21446153C2semidirect
12. #21446087C2semidirect
13. #21445822C2semidirect
14. #21445752C2semidirect
15. C2×C4×SD16×C61C2semidirect
217. #11758198SD16semidirect
255. Q8×C61#123semidirect
357. C2×C4×SD16D61semidirect
425. C61#24898semidirect
625. Q8#14519760semidirect

Maximal subgroups

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

subgroupindex
C2×#168398992
#214493272
Q8×#117581982
#214473592
#214472532
#214471352
#214470062
#214464952
#214464252
#214461762
#214461532
#214460872
#214458222
#214457522
C2×C4×SD16×C612
#2489861