Finite Group Databasebeta

← #29723832

Subgroups — #29723832

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×#16839901C211yesmaximal, characteristic
2C2×#16839847C211yesmaximal, characteristic, complemented
3#21449335C211yesmaximal, characteristic
4Q8×C22⋊Dic61C211yesmaximal, characteristic, complemented
5#21447360C211yesmaximal, characteristic, complemented
6#21447255C211yesmaximal, characteristic, complemented
7#21447133C211yesmaximal, characteristic, complemented
8#21447009C211yesmaximal, characteristic
9#21446497C211yesmaximal, characteristic, complemented
10#21446428C211yesmaximal, characteristic, complemented
11#21446172C211yesmaximal, characteristic, complemented
12#21446150C211yesmaximal, characteristic, complemented
13#21446089C211yesmaximal, characteristic, complemented
14#21445822C211yesmaximal, characteristic, complemented
15C61×#1787C211yesmaximal, characteristic, complemented
16C22×#11758201C2211yescharacteristic
17C22×#11758201C2211yescharacteristic
18C2×#14519759—21no—
19C2×#14519751C2211yescharacteristic
20C2×Q8×Dic61C2211yescharacteristic
21C2×Q8×Dic61C2211yescharacteristic
22C2×#14519739C2211yescharacteristic
23#16839901—24no—
24#16839847—24no—
25C2×#14519709C2211yescharacteristic
26C2×#14519708C2211yescharacteristic
27C2×#14519706C2211yescharacteristic
28C2×#14519701C2211yescharacteristic
29C2×#14519701C2211yescharacteristic
30C2×#14519699C2211yescharacteristic
31C2×#14519699C2211yescharacteristic
32C2×C22⋊#92418C2211yescharacteristic
33C2×C8×Dic61C2211yescharacteristic
34#16839691—21no—
35#16839677—21no—
36#16839669—21no—
37#16839669—21no—
38#16839669C2211yescharacteristic
39#16839669C2211yescharacteristic
40#16839663C2211yescharacteristic
41#16839661C2211yescharacteristic
42#16839636—21no—
43#16839631C2211yescharacteristic
44#16839622—21no—
45#16839622C2211yescharacteristic
46C4×C22⋊Dic61—21no—
47C4×C22⋊Dic61C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839516C2211yescharacteristic
53#16839516C2211yescharacteristic
54C23×Q8×C61C2211yescharacteristic
55C2×#103×C61C2211yescharacteristic
56C2×#103×C61C2211yescharacteristic
57C2×#103×C61C2211yescharacteristic
58C2×#103×C61C2211yescharacteristic
59C2×C22⋊C8×C61C2211yescharacteristic
60C61×#380C2211yescharacteristic
61C22×D244C2311yescharacteristic
62C22×C22⋊D61—21no—
63C22×C4×D61—21no—
64C2×#11758201—22no—
65C2×#11758201—22no—
66C2×#11758201—22no—
67C2×#11758201—22no—
68C2×#11758201—41no—
69C2×#11758201D414yes—
70C22×#92418C2311yescharacteristic
71C22×#92418C2311yescharacteristic
72#14519759—44no—
73#14519751—22no—
74#14519751—41no—
75Q8×Dic61—22no—
76Q8×Dic61—22no—
77Q8×Dic61—41no—
78Q8×Dic61—41no—
79#14519739—22no—
80#14519739—41no—
81C2×C4⋊Dic61—21no—
82C2×C4⋊Dic61—21no—
83C2×C4⋊Dic61—21no—
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C4⋊Dic61C2311yescharacteristic
86C2×C4⋊Dic61C2311yescharacteristic
87C2×#11758196—21no—
88C2×#11758196—21no—
89C2×C22⋊Dic61—21no—
90C2×C22⋊Dic61D411yescharacteristic
91C2×C22⋊Dic61D411yescharacteristic
92C2×#11758198—21no—
93C2×#11758198—21no—
94C2×#11758198—21no—
95C2×#11758198—21no—
96C2×C4×Dic61—21no—
97C2×C4×Dic61—21no—
98C2×C4×Dic61C2311yescharacteristic
99C2×C4×Dic61C2311yescharacteristic
100#14519709—41no—
101#14519708—22no—
102#14519706—41no—
103#14519701—22no—
104#14519701—22no—
105#14519699—22no—
106#14519699—41no—
107C22⋊#92418—22no—
108C8×Dic61—22no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114#14519684—21no—
115#14519684D411yescharacteristic
116#14519684D411yescharacteristic
117C22×Q8×C61—22no—
118C22×Q8×C61—22no—
119C22×Q8×C61—21no—
120C22×Q8×C61—22no—
121C22×Q8×C61—22no—
122C22×Q8×C61—41no—
123C22×Q8×C61—41no—
124C22×Q8×C61C2311yescharacteristic
125C22×Q8×C61C2311yescharacteristic
126C23×C4×C61—21no—
127C23×C4×C61C2311yescharacteristic
128C22×C8×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C22⋊C4×C61—21no—
133#103×C61—22no—
134#103×C61—22no—
135#103×C61—22no—
136#103×C61—41no—
137C22⋊C8×C61—41no—
138#95×C61—21no—
139C24×C61C2×D411yescharacteristic
140C23×D61—21no—
141C2×Q8×C61—24no—
142C2×Q8×C61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61—21no—
150C2×Q8×C61—42no—
151C2×Q8×C61—42no—
152C2×Q8×C61—44no—
153C2×Q8×C61—44no—
154C2×Q8×C61—44no—
155C2×Q8×C61—44no—
156C2×Q8×C61C2×D412yes—
157C2×Q8×C61#4112yes—
158C2×Q8×C61#4112yes—
159C2×Q8×C61#4112yes—
160C22×C4×C61—21no—
161C22×C4×C61—24no—
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—21no—
170C22×C4×C61—21no—
171C22×C4×C61—42no—
172C22×C4×C61—42no—
173C22×C4×C61C2×D411yescharacteristic
174C22×C4×C61C2411yescharacteristic
175C2×C22⋊D61—42no—
176C2×C22⋊D61—42no—
177C2×C22⋊D61—81no—
178C22×Dic61—21no—
179C22×Dic61—21no—
180C22×Dic61—21no—
181C22×Dic61C2×D411yescharacteristic
182C22×Dic61C2×D411yescharacteristic
183C22×Dic61C2×D411yescharacteristic
184C22×Dic61C2×D411yescharacteristic
185C2×D244—21no—
186C2×D244—21no—
187C2×D244—21no—
188C2×D244—21no—
189C2×D244—21no—
190C2×D244C2×D412yes—
191C2×C4×D61—42no—
192C2×C4×D61—42no—
193C2×C4×D61—81no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C22⋊C4×C61—42no—
205C22⋊Dic61—41no—
206C22⋊Dic61—42no—
207C22⋊Dic61SD1614yescomplemented
208#11758201—28no—
209#11758201—44no—
210#11758198—42no—
211#11758198—42no—
212#11758198—42no—
213#11758198—42no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—42no—
221C4⋊Dic61—42no—
222C4⋊Dic61—42no—
223#11758196—42no—
224#11758196—81no—
225C4×Dic61—21no—
226C4×Dic61—21no—
227C4×Dic61—21no—
228C4×Dic61—21no—
229C4×Dic61—42no—
230C4×Dic61—42no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418C2×D412yes—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—21no—
243C23×C61C2×SD1612yes—
244C23×C61C22×D411yescharacteristic
245C22×D61—22no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252Q8×C61—22no—
253Q8×C61—22no—
254Q8×C61—22no—
255Q8×C61—22no—
256Q8×C61—22no—
257Q8×C61—48no—
258Q8×C61—41no—
259Q8×C61—41no—
260Q8×C61#12314yescomplemented
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—48no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
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×C61C22×D411yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×C4×C61H(5,𝔽2)11yescharacteristic
286C2×C4×C61H(5,𝔽2)11yescharacteristic
287C22⋊D61—84no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61—21no—
297C2×Dic61—21no—
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—
307C2×Dic61C2×SD1612yes—
308C2×Dic61C2×SD1612yes—
309D244—22no—
310D244—22no—
311D244—41no—
312D244—41no—
313C4×D61—84no—
314C8×C61—41no—
315C8×C61—41no—
316#92418—22no—
317#92418—41no—
318#24898—611nomaximal, Sylow
319C22×C61—22no—
320C22×C61—22no—
321C22×C61—22no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61#52511yescharacteristic
327C22×C61D4211yescharacteristic
328C22×C61#54611yescharacteristic
329C22×C61C22×SD1611yescharacteristic
330C22×C61#57511yescharacteristic
331C22×C61#57711yescharacteristic
332C22×C61#57811yescharacteristic
333C2×D61—42no—
334C2×D61—42no—
335C2×D61—42no—
336C2×D61—81no—
337C2×D61—81no—
338C2×D61—81no—
339C2×D61—81no—
340C4×C61—24no—
341C4×C61—41no—
342C4×C61—42no—
343C4×C61—81no—
344C4×C61—81no—
345C4×C61C2×#12311yescharacteristic
346C4×C61#53811yescharacteristic
347C4×C61#54611yescharacteristic
348C4×C61#55111yescharacteristic
349Dic61—22no—
350Dic61—22no—
351Dic61—41no—
352Dic61—41no—
353Dic61—81no—
354Dic61—81no—
355Dic61—81no—
356C2×#448—611no—
357C2×C4×SD16—611no—
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#1787D6111yescharacteristic, complemented
371C2×C61—42no—
372C2×C61#241811yescharacteristic
373C2×C61#310311yescharacteristic
374C2×C61#312111yescharacteristic
375C2×C61#326911yescharacteristic
376C2×C61D4×SD1611yescharacteristic
377C2×C61#329811yescharacteristic
378C2×C61#332611yescharacteristic
379D61—82no—
380C23×Q8C2×D6111yescharacteristic
381C22×SD16—611no—
382C22×SD16—611no—
383C2×#123—1221no—
384C2×#121—611no—
385C2×C4×Q8—611no—
386C2×C4×Q8—611no—
387C2×C4×D4—611no—
388#448—1224no—
389C4×SD16—1224no—
390C2×#106—611no—
391C2×#106—611no—
392C2×C4⋊C8—611no—
393C2×#103—611no—
394C2×#103—611no—
395C2×#103C2×D6111yescharacteristic
396C2×#103C2×D6111yescharacteristic
397C2×#103C2×D6111yescharacteristic
398C2×#103C2×D6111yescharacteristic
399C2×#102—611no—
400C2×#102—611no—
401C2×C22⋊C8—611no—
402C2×C22⋊C8C2×D6111yescharacteristic
403C2×C4×C8—611no—
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—1221no—
416#380C2×D6111yescharacteristic
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—22no—
427C22×Q8—22no—
428C22×Q8—21no—
429C22×Q8—22no—
430C22×Q8—22no—
431C22×Q8—41no—
432C22×Q8—41no—
433C22×Q8C22×D6111yescharacteristic
434C22×Q8C22×D6111yescharacteristic
435C22×D4—611no—
436C22×D4—1221no—
437C23×C4—21no—
438C23×C4—1221no—
439C23×C4C22×D6111yescharacteristic
440C2×SD16—614no—
441C2×SD16—1222no—
442C2×SD16—1222no—
443C2×SD16—1222no—
444C2×SD16—1222no—
445C2×SD16—2441no—
446C22×C8—611no—
447C22×C8—611no—
448C22×C8C22×D6111yescharacteristic
449C22×C8C22×D6111yescharacteristic
450#123—2444no—
451#121—1222no—
452#121—2441no—
453C4×Q8—1222no—
454C4×Q8—1222no—
455C4×Q8—2441no—
456C4×Q8—2441no—
457C4×D4—1222no—
458C4×D4—2441no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—1221no—
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—611no—
478C2×C42—611no—
479C2×C42—1221no—
480C2×C42—1221no—
481#106—1222no—
482#106—2441no—
483C4⋊C8—2441no—
484#103—22no—
485#103—22no—
486#103—22no—
487#103—41no—
488#103—1222no—
489#103—1222no—
490#102—1222no—
491#102—2441no—
492C22⋊C8—41no—
493C22⋊C8—1222no—
494C4×C8—1222no—
495#95—21no—
496#95—611no—
497#95—611no—
498#95—1221no—
499#95—1221no—
500#95—1221no—
501#95—1221no—
502#95—1221no—
503#95—1221no—
504C24—1221no—
505C24D4×D6111yescharacteristic
506C2×Q8—24no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—42no—
516C2×Q8—42no—
517C2×Q8—44no—
518C2×Q8—44no—
519C2×Q8—44no—
520C2×Q8—44no—
521C2×Q8#1175822212yes—
522C2×Q8D4×D6112yes—
523C2×Q8#1175822412yes—
524C2×Q8#1175822412yes—
525C2×D4—612no—
526C2×D4—1221no—
527C2×D4—1221no—
528C2×D4—1221no—
529C2×D4—1221no—
530C2×D4—1221no—
531C2×D4—4881no—
532C2×D4—2442no—
533C2×D4—2442no—
534C22×C4—21no—
535C22×C4—24no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—611no—
551C22×C4—1221no—
552C22×C4—1221no—
553C22×C4—1221no—
554C22×C4—4881no—
555C22×C4—2442no—
556C22×C4—2442no—
557C22×C4D4×D6111yescharacteristic
558C22×C4C23×D6111yescharacteristic
559SD16—1228no—
560SD16—2444no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—612no—
568C2×C8—1221no—
569C2×C8—1221no—
570C2×C8—1221no—
571C2×C8—1221no—
572C2×C8—1221no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—1221no—
583C4⋊C4—4881no—
584C4⋊C4—2442no—
585C4⋊C4—2442no—
586C4⋊C4—2442no—
587C4⋊C4—2442no—
588C22⋊C4—42no—
589C22⋊C4—614no—
590C22⋊C4—2442no—
591C22⋊C4—2442no—
592C22⋊C4—2442no—
593C22⋊C4—2442no—
594C22⋊C4—2441no—
595C22⋊C4—2442no—
596C42—1221no—
597C42—1221no—
598C42—1221no—
599C42—1221no—
600C42—2442no—
601C42—2442no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—1222no—
609C23—2441no—
610C23—2441no—
611C23—2441no—
612C23—2441no—
613C23—2441no—
614C23—2441no—
615C23SD16×D6112yes—
616C23C2×D4×D6111yescharacteristic
617Q8—22no—
618Q8—22no—
619Q8—22no—
620Q8—22no—
621Q8—22no—
622Q8—48no—
623Q8—41no—
624Q8—41no—
625Q8#1451975914yescomplemented
626D4—1222no—
627D4—1222no—
628D4—4884no—
629D4—2441no—
630D4—2441no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
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—612no—
652C2×C4—612no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—1221no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1221no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—4884no—
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×C4—2441no—
673C2×C4C2×D4×D6111yescharacteristic
674C2×C4C2×#1175822411yescharacteristic
675C2×C4C2×#1175822411yescharacteristic
676C2×C4C2×#1175822211yescharacteristic
677C2×C4#1451982211yescharacteristic
678C2×C4#1451982211yescharacteristic
679C8—41no—
680C8—41no—
681C8—1222no—
682C8—2441no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—4881no—
691C22—4881no—
692C22—4881no—
693C22—4881no—
694C22—2442no—
695C22—2442no—
696C22—2442no—
697C22#1684026811yescharacteristic
698C22#1684039411yescharacteristic
699C22#1684040211yescharacteristic
700C22C2×SD16×D6111yescharacteristic
701C22#1684056111yescharacteristic
702C22#1684057111yescharacteristic
703C22#1684057511yescharacteristic
704C4—24no—
705C4—41no—
706C4—42no—
707C4—81no—
708C4—81no—
709C4—1222no—
710C4—1222no—
711C4—4881no—
712C4—4881no—
713C4—4881no—
714C4—2441no—
715C4—2441no—
716C4C2×#1451975911yescharacteristic
717C4#1684034711yescharacteristic
718C4#1684039911yescharacteristic
719C4#1684043811yescharacteristic
720C2—42no—
721C2—4882no—
722C2#2144928511yescharacteristic
723C2#2145584511yescharacteristic
724C2#2145604911yescharacteristic
725C2#2145737711yescharacteristic
726C2#2145750811yescharacteristic
727C2#2145768011yescharacteristic
728C2#2145806811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1787C2
socleC23×C61C22×D4
prime radicalC2×#14519751C22
hypercenter#1787D61
hypocenterC61#24898
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1787

Complements

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

NH ≅ G/Ntype
2. C2×#16839847C2semidirect
4. Q8×C22⋊Dic61C2semidirect
5. #21447360C2semidirect
6. #21447255C2semidirect
7. #21447133C2semidirect
9. #21446497C2semidirect
10. #21446428C2semidirect
11. #21446172C2semidirect
12. #21446150C2semidirect
13. #21446089C2semidirect
14. #21445822C2semidirect
15. C61×#1787C2semidirect
207. C22⋊Dic61SD16semidirect
260. Q8×C61#123semidirect
370. #1787D61semidirect
425. C61#24898semidirect
625. Q8#14519759semidirect

Maximal subgroups

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

subgroupindex
C2×#168399012
C2×#168398472
#214493352
Q8×C22⋊Dic612
#214473602
#214472552
#214471332
#214470092
#214464972
#214464282
#214461722
#214461502
#214460892
#214458222
C61×#17872
#2489861