Finite Group Databasebeta

← #29700899

Subgroups — #29700899

Order 15616.

980 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839825C211yesmaximal, characteristic
2C2×#16839814C211yesmaximal, characteristic, complemented
3C4×#14519759C211yesmaximal, characteristic
4#21446536C211yesmaximal, characteristic, complemented
5#21446422C211yesmaximal, characteristic, complemented
6#21446375C211yesmaximal, characteristic, complemented
7#21446373C211yesmaximal, characteristic, complemented
8#21446108C211yesmaximal, characteristic
9#21445999C211yesmaximal, characteristic, complemented
10#21445998C211yesmaximal, characteristic, complemented
11C8×C4⋊Dic61C211yesmaximal, characteristic, complemented
12#21445593C211yesmaximal, characteristic, complemented
13C8×#11758198C211yesmaximal, characteristic, complemented
14#336×D61C211yesmaximal, characteristic, complemented
15C61×#1923C211yesmaximal, characteristic, complemented
16C23×#92418C2211yescharacteristic
17C22×C8×D61C2211yescharacteristic
18C22×C8×D61C2211yescharacteristic
19C2×#14519759C411yescharacteristic
20C2×C4×C22⋊D61C2211yescharacteristic
21C2×C42×D61C2211yescharacteristic
22#16839825—24no—
23#16839814—24no—
24C2×C4⋊#92418C2211yescharacteristic
25C2×C4⋊#92418C2211yescharacteristic
26C2×#14519706C2211yescharacteristic
27C2×#14519706C2211yescharacteristic
28C2×C22⋊#92418C2211yescharacteristic
29C2×#14519689C2211yescharacteristic
30C2×#14519689C2211yescharacteristic
31C2×C8×Dic61C2211yescharacteristic
32C2×C8×Dic61C2211yescharacteristic
33C2×C8×Dic61C2211yescharacteristic
34C2×C8×Dic61C2211yescharacteristic
35#16839656C411yescharacteristic
36#16839655C411yescharacteristic
37#16839645C411yescharacteristic
38#16839644C411yescharacteristic
39#16839638C411yescharacteristic
40#16839636C411yescharacteristic
41#16839624C411yescharacteristic
42C4×#11758196C2211yescharacteristic
43C4×C4⋊Dic61C2211yescharacteristic
44C4×#11758198C2211yescharacteristic
45C4×C22⋊Dic61C2211yescharacteristic
46#16839517C2211yescharacteristic
47#16839517C2211yescharacteristic
48#16839516C2211yescharacteristic
49#16839516C2211yescharacteristic
50#16839516C2211yescharacteristic
51#16839516C2211yescharacteristic
52#16839516C2211yescharacteristic
53#16839516C2211yescharacteristic
54C2×C4⋊C8×C61C2211yescharacteristic
55C2×C22⋊C8×C61C2211yescharacteristic
56C2×C22⋊C8×C61C2211yescharacteristic
57C2×C4×C8×C61C2211yescharacteristic
58C4×C22⋊C4×C61C2211yescharacteristic
59C61×#336C2211yescharacteristic
60C61×#336C2211yescharacteristic
61C22×C22⋊D61C2×C411yescharacteristic
62C22×C4×D61C2×C411yescharacteristic
63C22×C4×D61C2×C411yescharacteristic
64C22×C4×D61C2311yescharacteristic
65C22×#92418—22no—
66C22×#92418—22no—
67C22×#92418—41no—
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71C22×#92418C2311yescharacteristic
72C2×C8×D61—22no—
73C2×C8×D61—22no—
74C2×C8×D61—22no—
75C2×C8×D61—22no—
76C2×C8×D61—41no—
77C2×C8×D61—41no—
78#14519759C818yescomplemented
79C4×C22⋊D61—22no—
80C4×C22⋊D61—22no—
81C2×C4⋊Dic61C2×C411yescharacteristic
82C2×C4⋊Dic61C2×C411yescharacteristic
83C2×#11758196C2×C411yescharacteristic
84C2×#11758196C2×C411yescharacteristic
85C2×#11758196C2×C411yescharacteristic
86C2×C22⋊Dic61C2×C411yescharacteristic
87C2×C22⋊Dic61C2×C411yescharacteristic
88C2×C22⋊Dic61C2×C411yescharacteristic
89C2×#11758198C2×C411yescharacteristic
90C2×#11758198C2×C411yescharacteristic
91C2×#11758198C2×C411yescharacteristic
92C2×C4×Dic61C2×C411yescharacteristic
93C2×C4×Dic61C2×C411yescharacteristic
94C2×C4×Dic61C2311yescharacteristic
95C2×C4×Dic61C2311yescharacteristic
96C2×C4×Dic61C2311yescharacteristic
97C42×D61—22no—
98C42×D61—22no—
99C4⋊#92418—22no—
100C4⋊#92418—22no—
101#14519706—22no—
102#14519706—41no—
103C22⋊#92418—41no—
104#14519689—22no—
105#14519689D414yes—
106C8×Dic61—22no—
107C8×Dic61—22no—
108C8×Dic61—22no—
109C8×Dic61—41no—
110#14519684C2×C411yescharacteristic
111#14519684C2×C411yescharacteristic
112#14519684C2×C411yescharacteristic
113#14519684C2×C411yescharacteristic
114#14519684C2×C411yescharacteristic
115#14519684C2×C411yescharacteristic
116#14519684C2×C411yescharacteristic
117#14519684C2×C411yescharacteristic
118C23×C4×C61C2311yescharacteristic
119C22×C8×C61C2311yescharacteristic
120C22×C8×C61C2311yescharacteristic
121C22×C8×C61C2311yescharacteristic
122C22×C8×C61C2311yescharacteristic
123C2×C22⋊C4×C61C2×C411yescharacteristic
124C2×C22⋊C4×C61C2×C411yescharacteristic
125C2×C42×C61C2311yescharacteristic
126C2×C42×C61C2311yescharacteristic
127C4⋊C8×C61—22no—
128C22⋊C8×C61—22no—
129C22⋊C8×C61—22no—
130C4×C8×C61—22no—
131#95×C61C2×C411yescharacteristic
132#95×C61C2×C411yescharacteristic
133C24×C61C22×C411yescharacteristic
134C23×D61C22×C411yescharacteristic
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61—21no—
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61C22×C411yescharacteristic
142C22×C4×C61C22×C411yescharacteristic
143C22×C4×C61C22×C411yescharacteristic
144C22×C4×C61C22×C411yescharacteristic
145C22×C4×C61C22×C411yescharacteristic
146C22×C4×C61C2411yescharacteristic
147C2×C22⋊D61—22no—
148C2×C22⋊D61—22no—
149C2×C22⋊D61C2×C814yes—
150C22×Dic61C22×C411yescharacteristic
151C22×Dic61C22×C411yescharacteristic
152C22×Dic61C22×C411yescharacteristic
153C22×Dic61C22×C411yescharacteristic
154C22×Dic61C22×C411yescharacteristic
155C22×Dic61C22×C411yescharacteristic
156C22×Dic61C22×C411yescharacteristic
157C2×C4×D61—22no—
158C2×C4×D61—22no—
159C2×C4×D61—21no—
160C2×C4×D61—21no—
161C2×C4×D61—21no—
162C2×C4×D61—21no—
163C2×C4×D61—22no—
164C2×C4×D61—22no—
165C2×C4×D61—41no—
166C2×C4×D61C2×C814yescomplemented
167C2×C4×D61C2×D412yes—
168C2×C4×D61#4112yes—
169C2×C8×C61—21no—
170C2×C8×C61—21no—
171C2×C8×C61—21no—
172C2×C8×C61—21no—
173C2×C8×C61—21no—
174C2×C8×C61—21no—
175C2×C8×C61—21no—
176C2×C8×C61—21no—
177C2×C8×C61—21no—
178C2×C8×C61—21no—
179C2×C8×C61C2×D412yes—
180C2×C8×C61#4112yes—
181C22⋊C4×C61—41no—
182C22⋊C4×C61C2×C814yescomplemented
183C42×C61—21no—
184C42×C61—21no—
185C42×C61—21no—
186C42×C61—21no—
187C22⋊Dic61—22no—
188C22⋊Dic61—22no—
189C22⋊Dic61C2×C814yescomplemented
190#11758198—22no—
191#11758198—22no—
192#11758198C2×C814yescomplemented
193C4⋊Dic61—22no—
194C4⋊Dic61C2×C814yescomplemented
195#11758196—22no—
196#11758196—41no—
197#11758196C2×C814yescomplemented
198C4×Dic61—21no—
199C4×Dic61—21no—
200C4×Dic61—21no—
201C4×Dic61—21no—
202C4×Dic61—21no—
203C4×Dic61—21no—
204C4×Dic61—22no—
205C4×Dic61—22no—
206C2×#92418—21no—
207C2×#92418—21no—
208C2×#92418—21no—
209C2×#92418—21no—
210C2×#92418—21no—
211C2×#92418—21no—
212C2×#92418—21no—
213C2×#92418—21no—
214C2×#92418—21no—
215C2×#92418—21no—
216C2×#92418—44no—
217C2×#92418C2×D412yes—
218C2×#92418#4112yes—
219C8×D61—44no—
220C8×D61—44no—
221C23×C61—21no—
222C23×C61—21no—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61C22×C812yes—
228C23×C61C23×C411yescharacteristic
229C22×D61—21no—
230C22×D61—21no—
231C22×D61—21no—
232C22×D61—21no—
233C22×D61C4×D412yes—
234C22×D61C22×C812yes—
235C22×D61#13112yes—
236C2×C4×C61—21no—
237C2×C4×C61—21no—
238C2×C4×C61—21no—
239C2×C4×C61—21no—
240C2×C4×C61—21no—
241C2×C4×C61—21no—
242C2×C4×C61—21no—
243C2×C4×C61—21no—
244C2×C4×C61—21no—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—41no—
250C2×C4×C61—41no—
251C2×C4×C61—41no—
252C2×C4×C61—41no—
253C2×C4×C61C22×C812yes—
254C2×C4×C61C22×C812yes—
255C2×C4×C61C22×D411yescharacteristic
256C2×C4×C61C2×#4111yescharacteristic
257C2×C4×C61C2×#4111yescharacteristic
258C2×C4×C61C2×#4111yescharacteristic
259C2×C4×C61H(5,𝔽2)11yescharacteristic
260C2×C4×C612−1+411yescharacteristic
261C22⋊D61—28no—
262C2×Dic61—21no—
263C2×Dic61—21no—
264C2×Dic61—21no—
265C2×Dic61—21no—
266C2×Dic61—21no—
267C2×Dic61—21no—
268C2×Dic61—21no—
269C2×Dic61—21no—
270C2×Dic61—21no—
271C2×Dic61—21no—
272C2×Dic61—21no—
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61C4×D412yes—
279C2×Dic61C22×C812yes—
280C2×Dic61C22×C812yes—
281C2×Dic61C22×C812yes—
282C2×Dic61#13112yes—
283C4×D61—28no—
284C4×D61—22no—
285C4×D61—22no—
286C4×D61—22no—
287C4×D61—22no—
288C4×D61—44no—
289C8×C61—22no—
290C8×C61—22no—
291C8×C61—41no—
292C8×C61—41no—
293#92418—22no—
294#92418—22no—
295#92418—41no—
296#92418—41no—
297#22900—611nomaximal, Sylow
298C22×C61—22no—
299C22×C61—22no—
300C22×C61—22no—
301C22×C61—41no—
302C22×C61—41no—
303C22×C61—41no—
304C22×C61—41no—
305C22×C61C2×C4×D411yescharacteristic
306C22×C61C4×#4111yescharacteristic
307C22×C61#52011yescharacteristic
308C22×C61C23×C811yescharacteristic
309C22×C61C2×#13111yescharacteristic
310C22×C61C2×#13111yescharacteristic
311C22×C61#56811yescharacteristic
312C2×D61—22no—
313C2×D61—22no—
314C2×D61—22no—
315C2×D61—22no—
316C2×D61—22no—
317C2×D61—22no—
318C2×D61C8×D414yes—
319C4×C61—22no—
320C4×C61—22no—
321C4×C61—41no—
322C4×C61—41no—
323C4×C61—41no—
324C4×C61#54611yescharacteristic
325C4×C61#54711yescharacteristic
326C4×C61#55111yescharacteristic
327C4×C61#55211yescharacteristic
328Dic61—22no—
329Dic61—22no—
330Dic61—22no—
331Dic61—22no—
332Dic61—22no—
333Dic61—41no—
334Dic61—41no—
335C2×C8×D4—611no—
336C2×#431—611no—
337C4×#123—611no—
338#1939—611no—
339#1923—611no—
340#1923D6111yescharacteristic, complemented
341#1916—611no—
342#1916—611no—
343#1869—611no—
344#1850—611no—
345#1850—611no—
346C8×C4⋊C4—611no—
347C8×C22⋊C4—611no—
348C8×C22⋊C4—611no—
349C2×#336—611no—
350C2×C61—42no—
351C2×C61#235911yescharacteristic
352C2×C61C2×C8×D411yescharacteristic
353C2×C61#293311yescharacteristic
354C2×C61C8×#4111yescharacteristic
355C2×C61#296811yescharacteristic
356C2×C61#298811yescharacteristic
357C2×C61#299411yescharacteristic
358D61—24no—
359C23×C8—611no—
360C23×C8—611no—
361C23×C8—611no—
362C2×#123—611no—
363C2×C4×D4—611no—
364C22×C42—611no—
365C8×D4—1224no—
366#431—1224no—
367C2×C4⋊C8—611no—
368C2×C4⋊C8—611no—
369C2×C4⋊C8—611no—
370C2×C4⋊C8—611no—
371C2×C4⋊C8C2×D6111yescharacteristic
372C2×C22⋊C8—611no—
373C2×C22⋊C8—611no—
374C2×C22⋊C8—611no—
375C2×C22⋊C8C2×D6111yescharacteristic
376C2×C22⋊C8C2×D6111yescharacteristic
377C2×C4×C8—611no—
378C2×C4×C8—611no—
379C2×C4×C8—611no—
380C2×C4×C8—611no—
381C2×C4×C8C2×D6111yescharacteristic
382#388—611no—
383#388—611no—
384#387—611no—
385#387—611no—
386#386—611no—
387#385—611no—
388#381—611no—
389C4×C4⋊C4—611no—
390C4×C4⋊C4—611no—
391C4×C22⋊C4—611no—
392C4×C22⋊C4—611no—
393C4×C22⋊C4C2×D6111yescharacteristic
394#336—611no—
395#336—611no—
396#336—611no—
397#336—611no—
398#336—611no—
399#336—611no—
400#336—611no—
401#336—611no—
402#336C2×D6111yescharacteristic
403#336C2×D6111yescharacteristic
404C61#2290011yescharacteristic, complemented, Sylow
405C22×D4—611no—
406C23×C4—611no—
407C23×C4—611no—
408C23×C4—611no—
409C23×C4C22×D6111yescharacteristic
410C22×C8—611no—
411C22×C8—611no—
412C22×C8—611no—
413C22×C8—611no—
414C22×C8—1222no—
415C22×C8—1222no—
416C22×C8—1222no—
417C22×C8—1222no—
418C22×C8—1222no—
419C22×C8—1222no—
420C22×C8—2441no—
421C22×C8—2441no—
422C22×C8—2441no—
423C22×C8C22×D6111yescharacteristic
424C22×C8C22×D6111yescharacteristic
425C22×C8C22×D6111yescharacteristic
426C22×C8C22×D6111yescharacteristic
427#123—618no—
428C4×D4—1222no—
429C4×D4—1222no—
430C2×C4⋊C4—611no—
431C2×C4⋊C4—611no—
432C2×C4⋊C4—611no—
433C2×C4⋊C4—611no—
434C2×C4⋊C4—611no—
435C2×C22⋊C4—611no—
436C2×C22⋊C4—611no—
437C2×C22⋊C4—611no—
438C2×C22⋊C4—611no—
439C2×C22⋊C4—611no—
440C2×C22⋊C4—611no—
441C2×C22⋊C4C4×D6111yescharacteristic
442C2×C22⋊C4C4×D6111yescharacteristic
443C2×C42—611no—
444C2×C42—611no—
445C2×C42—611no—
446C2×C42—611no—
447C2×C42—611no—
448C2×C42—1222no—
449C2×C42—1222no—
450C2×C42C22×D6111yescharacteristic
451C2×C42C22×D6111yescharacteristic
452C4⋊C8—22no—
453C4⋊C8—1222no—
454C4⋊C8—1222no—
455C4⋊C8—1222no—
456C4⋊C8—2441no—
457C22⋊C8—22no—
458C22⋊C8—22no—
459C22⋊C8—614no—
460C22⋊C8—1222no—
461C22⋊C8—2441no—
462C4×C8—22no—
463C4×C8—1222no—
464C4×C8—1222no—
465C4×C8—1222no—
466C4×C8—2441no—
467#95—611no—
468#95—611no—
469#95—611no—
470#95—611no—
471#95—611no—
472#95—611no—
473#95—611no—
474#95—611no—
475#95C4×D6111yescharacteristic
476#95C4×D6111yescharacteristic
477C24—611no—
478C24C2×C4×D6111yescharacteristic
479C2×D4—614no—
480C2×D4—1222no—
481C2×D4—1222no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—611no—
489C22×C4—611no—
490C22×C4—611no—
491C22×C4—611no—
492C22×C4—611no—
493C22×C4—612no—
494C22×C4—612no—
495C22×C4—614no—
496C22×C4—611no—
497C22×C4—611no—
498C22×C4—1222no—
499C22×C4—1222no—
500C22×C4—1222no—
501C22×C4—1222no—
502C22×C4—1221no—
503C22×C4—1221no—
504C22×C4—1221no—
505C22×C4—1221no—
506C22×C4—2441no—
507C22×C4C2×C4×D6111yescharacteristic
508C22×C4C2×C4×D6111yescharacteristic
509C22×C4C2×C4×D6111yescharacteristic
510C22×C4C2×C4×D6111yescharacteristic
511C22×C4C2×C4×D6111yescharacteristic
512C22×C4C23×D6111yescharacteristic
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—612no—
524C2×C8—612no—
525C2×C8—1221no—
526C2×C8—1221no—
527C2×C8—1221no—
528C2×C8—1221no—
529C2×C8—1221no—
530C2×C8—1221no—
531C2×C8—1221no—
532C2×C8—1221no—
533C2×C8—1221no—
534C2×C8—1221no—
535C2×C8—2444no—
536C2×C8—2444no—
537C2×C8—2444no—
538C2×C8D4×D6112yes—
539C2×C8#1175822412yes—
540C4⋊C4—614no—
541C4⋊C4—614no—
542C4⋊C4—1222no—
543C4⋊C4—1222no—
544C4⋊C4—2441no—
545C22⋊C4—41no—
546C22⋊C4—614no—
547C22⋊C4—614no—
548C22⋊C4—1222no—
549C22⋊C4—1222no—
550C22⋊C4—1222no—
551C22⋊C4—1222no—
552C22⋊C4C8×D6114yescomplemented
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—1222no—
558C42—1222no—
559C42—1221no—
560C42—1221no—
561C42—1221no—
562C42—1221no—
563C42—1221no—
564C42—1221no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—612no—
572C23—612no—
573C23—612no—
574C23—1221no—
575C23—1221no—
576C23—1221no—
577C23—1221no—
578C23C2×C8×D6112yes—
579C23C22×C4×D6111yescharacteristic
580D4—1228no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—612no—
599C2×C4—612no—
600C2×C4—612no—
601C2×C4—612no—
602C2×C4—612no—
603C2×C4—1228no—
604C2×C4—1221no—
605C2×C4—1221no—
606C2×C4—1221no—
607C2×C4—1221no—
608C2×C4—1221no—
609C2×C4—1221no—
610C2×C4—1221no—
611C2×C4—1221no—
612C2×C4—1221no—
613C2×C4—1221no—
614C2×C4—1222no—
615C2×C4—1222no—
616C2×C4—1222no—
617C2×C4—1222no—
618C2×C4—1221no—
619C2×C4—1221no—
620C2×C4—1221no—
621C2×C4—1221no—
622C2×C4—1221no—
623C2×C4—1221no—
624C2×C4—2444no—
625C2×C4C2×C8×D6112yes—
626C2×C4C2×C8×D6112yes—
627C2×C4C2×D4×D6111yescharacteristic
628C2×C4#41×D6111yescharacteristic
629C2×C4#41×D6111yescharacteristic
630C2×C4C2×#1175822411yescharacteristic
631C2×C4#1451982311yescharacteristic
632C2×C4#1451982411yescharacteristic
633C8—22no—
634C8—22no—
635C8—41no—
636C8—41no—
637C8—1222no—
638C8—1222no—
639C8—2441no—
640C8—2441no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—41no—
645C22—41no—
646C22—41no—
647C22—41no—
648C22—614no—
649C22—1222no—
650C22—1222no—
651C22—1222no—
652C22—1222no—
653C22—1222no—
654C22—1222no—
655C22C4×D4×D6111yescharacteristic
656C22C4×#1175822411yescharacteristic
657C22#1684024211yescharacteristic
658C22C22×C8×D6111yescharacteristic
659C22#131×D6111yescharacteristic
660C22#131×D6111yescharacteristic
661C22#1684052811yescharacteristic
662C4—22no—
663C4—22no—
664C4—41no—
665C4—41no—
666C4—41no—
667C4—1222no—
668C4—1222no—
669C4—1222no—
670C4—1222no—
671C4—1222no—
672C4—2441no—
673C4—2441no—
674C4#1684040511yescharacteristic
675C4#1684041211yescharacteristic
676C4#1684043511yescharacteristic
677C4#1684044811yescharacteristic
678C2—42no—
679C2—1224no—
680C2#2144881011yescharacteristic
681C2C8×D4×D6111yescharacteristic
682C2#2145454811yescharacteristic
683C2C8×#1175822411yescharacteristic
684C2#2145481011yescharacteristic
685C2#2145492711yescharacteristic
686C2#2145497311yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D61
commutatorC22×C61C23×C8
FittingC61×#1923C2
socleC23×C61C23×C4
prime radicalC22×C22⋊D61C2×C4
cosocleC22×C4×C61C24
hypercenter#1923D61
hypocenterC61#22900
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ #1923

Complements

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

NH ≅ G/Ntype
2. C2×#16839814C2semidirect
4. #21446536C2semidirect
5. #21446422C2semidirect
6. #21446375C2semidirect
7. #21446373C2semidirect
9. #21445999C2semidirect
10. #21445998C2semidirect
11. C8×C4⋊Dic61C2semidirect
12. #21445593C2semidirect
13. C8×#11758198C2semidirect
14. #336×D61C2semidirect
15. C61×#1923C2semidirect
78. #14519759C8semidirect
166. C2×C4×D61C2×C8semidirect
182. C22⋊C4×C61C2×C8semidirect
189. C22⋊Dic61C2×C8semidirect
192. #11758198C2×C8semidirect
194. C4⋊Dic61C2×C8semidirect
197. #11758196C2×C8semidirect
340. #1923D61semidirect
404. C61#22900semidirect
552. C22⋊C4C8×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168398252
C2×#168398142
C4×#145197592
#214465362
#214464222
#214463752
#214463732
#214461082
#214459992
#214459982
C8×C4⋊Dic612
#214455932
C8×#117581982
#336×D612
C61×#19232
#2290061