Finite Group Databasebeta

← #29698172

Subgroups — #29698172

Order 15616.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839835C211yesmaximal, characteristic
2C2×#16839801C211yesmaximal, characteristic, complemented
3C2×#106×D61C211yesmaximal, characteristic, complemented
4#21448751C211yesmaximal, characteristic
5C4⋊C4×D244C211yesmaximal, characteristic
6#21446587C211yesmaximal, characteristic, complemented
7#21446582C211yesmaximal, characteristic, complemented
8#21446021C211yesmaximal, characteristic, complemented
9#21446013C211yesmaximal, characteristic, complemented
10#21446013C211yesmaximal, characteristic, complemented
11#21446008C211yesmaximal, characteristic, complemented
12#21445987C211yesmaximal, characteristic, complemented
13#21445853C211yesmaximal, characteristic, complemented
14#21445845C211yesmaximal, characteristic, complemented
15C61×#1776C211yesmaximal, characteristic, complemented
16C22×#11758189C2211yescharacteristic
17C22×C8×D61C2211yescharacteristic
18C2×C4×D244—21no—
19C2×C4×D244C2211yescharacteristic
20C2×#14519735C2211yescharacteristic
21C2×C4⋊C4×D61C2211yescharacteristic
22C2×C4⋊C4×D61C2211yescharacteristic
23C2×C4⋊C4×D61C2211yescharacteristic
24#16839835C418yescomplemented
25#16839801—24no—
26C2×#14519711C2211yescharacteristic
27C2×#14519711C2211yescharacteristic
28C2×#14519710C2211yescharacteristic
29C2×#14519709C2211yescharacteristic
30C2×#14519709C2211yescharacteristic
31C2×#14519708C2211yescharacteristic
32C2×#14519708C2211yescharacteristic
33C2×#14519708C2211yescharacteristic
34#106×D61—24no—
35C2×C4⋊#92418C2211yescharacteristic
36C2×#14519689C2211yescharacteristic
37C2×#14519689C2211yescharacteristic
38#16839660—21no—
39#16839653—21no—
40#16839647—21no—
41#16839640—21no—
42#16839636—21no—
43#16839636—21no—
44#16839632C2211yescharacteristic
45#16839628C2211yescharacteristic
46#16839619C2211yescharacteristic
47#16839619C2211yescharacteristic
48#16839619C2211yescharacteristic
49#16839619C2211yescharacteristic
50C4×#11758198—21no—
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C2×#107×C61C2211yescharacteristic
56C2×#106×C61C2211yescharacteristic
57C2×#97×C61C2211yescharacteristic
58C4×C4⋊C4×C61C2211yescharacteristic
59C4×C4⋊C4×C61C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C22×D244D411yescharacteristic
63C22×C4×D61—21no—
64C22×C4×D61—21no—
65C22×C4×D61—21no—
66C22×C4×D61C2311yescharacteristic
67C22×C4×D61C2311yescharacteristic
68C2×#11758189—22no—
69C2×#11758189—22no—
70C2×#11758189C2×C414yescomplemented
71C22×#92418C2311yescharacteristic
72C22×#92418C2311yescharacteristic
73C2×C8×D61—22no—
74C2×C8×D61—22no—
75C2×C8×D61C2×C414yescomplemented
76C4×D244—44no—
77C4×D244C2×C414yes—
78C4×D244Q814yes—
79#14519735—22no—
80#14519735—41no—
81C2×C4⋊Dic61—21no—
82C2×C4⋊Dic61—21no—
83C2×C4⋊Dic61D411yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C4⋊Dic61C2311yescharacteristic
86C2×C4⋊Dic61C2311yescharacteristic
87C2×C4⋊Dic61C2311yescharacteristic
88C2×#11758196—21no—
89C2×#11758196—21no—
90C2×#11758196—21no—
91C4⋊C4×D61—22no—
92C4⋊C4×D61—22no—
93C4⋊C4×D61—22no—
94C4⋊C4×D61—41no—
95C4⋊C4×D61—41no—
96C4⋊C4×D61—41no—
97C2×#11758198—21no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198D411yescharacteristic
103C2×#11758198D411yescharacteristic
104C2×C4×Dic61—21no—
105#14519711—22no—
106#14519711—41no—
107#14519710—22no—
108#14519709—22no—
109#14519709—41no—
110#14519708—22no—
111#14519708—22no—
112#14519708—22no—
113C4⋊#92418C2×C414yescomplemented
114#14519689C2×C414yescomplemented
115#14519689C2×C414yescomplemented
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122C22×C8×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124C2×C4⋊C4×C61C2311yescharacteristic
125C2×C4⋊C4×C61C2311yescharacteristic
126C2×C4⋊C4×C61C2311yescharacteristic
127C2×C4⋊C4×C61C2311yescharacteristic
128C2×C42×C61—21no—
129C2×C42×C61—21no—
130C2×C42×C61C2311yescharacteristic
131#107×C61—22no—
132#106×C61D414yescomplemented
133#97×C61C2×C414yescomplemented
134#95×C61—21no—
135#95×C61—21no—
136C23×D61C2×D411yescharacteristic
137C23×D61C2×D411yescharacteristic
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61C2×D411yescharacteristic
143C22×C4×C61C2×D411yescharacteristic
144C22×C4×C61C2411yescharacteristic
145C22×Dic61—21no—
146C22×Dic61—21no—
147C22×Dic61—21no—
148C22×Dic61—21no—
149C22×Dic61C2×D411yescharacteristic
150C22×Dic61C2×D411yescharacteristic
151C2×D244—22no—
152C2×D244—22no—
153C2×D244C4⋊C414yes—
154C2×C4×D61—21no—
155C2×C4×D61—21no—
156C2×C4×D61—21no—
157C2×C4×D61—21no—
158C2×C4×D61—21no—
159C2×C4×D61—21no—
160C2×C4×D61—21no—
161C2×C4×D61—21no—
162C2×C4×D61—42no—
163C2×C4×D61—42no—
164C2×C4×D61—42no—
165C2×C4×D61—42no—
166C2×C4×D61—42no—
167C2×C4×D61—42no—
168C2×C4×D61—81no—
169C2×C4×D61—81no—
170C2×C4×D61—81no—
171C2×C4×D61C22×C412yes—
172C2×C4×D61C22×C412yes—
173C2×C4×D61C2×Q812yes—
174C2×C4×D61C2×Q812yes—
175C2×C8×C61—21no—
176C2×C8×C61—21no—
177C2×C8×C61C22×C412yes—
178C2×C8×C61C22×C412yes—
179C2×C8×C61C2×D412yes—
180C2×C8×C61#4112yes—
181C4⋊C4×C61—21no—
182C4⋊C4×C61—21no—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—21no—
185C4⋊C4×C61—21no—
186C4⋊C4×C61—21no—
187C4⋊C4×C61C2×D412yes—
188C4⋊C4×C61C2×D412yes—
189C42×C61—42no—
190C42×C61—81no—
191C42×C61C22×C412yes—
192C42×C61C2×Q812yes—
193#11758198—42no—
194#11758198—42no—
195#11758198—42no—
196#11758198—42no—
197#11758198—81no—
198#11758198C4⋊C414yes—
199#11758198C4⋊C414yes—
200C4⋊Dic61—21no—
201C4⋊Dic61—21no—
202C4⋊Dic61—21no—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—42no—
209C4⋊Dic61—81no—
210C4⋊Dic61C4⋊C414yes—
211#11758196—42no—
212#11758196—42no—
213#11758196—42no—
214C4×Dic61—42no—
215C2×#92418—21no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418C22×C412yes—
220C2×#92418C22×C412yes—
221#11758189—28no—
222C8×D61—28no—
223C23×C61C22×D411yescharacteristic
224C22×D61—21no—
225C22×D61—21no—
226C22×D61—21no—
227C22×D61—21no—
228C22×D61—21no—
229C22×D61—21no—
230C22×D61—21no—
231C22×D61—21no—
232C22×D61—21no—
233C22×D61—21no—
234C22×D61C2×C4⋊C412yes—
235C22×D61C2×C4⋊C412yes—
236C22×D61AGL(1,ℤ/8)12yes—
237C22×D61#13712yes—
238C2×C4×C61—21no—
239C2×C4×C61—21no—
240C2×C4×C61—21no—
241C2×C4×C61—21no—
242C2×C4×C61—22no—
243C2×C4×C61—22no—
244C2×C4×C61—41no—
245C2×C4×C61—41no—
246C2×C4×C61—41no—
247C2×C4×C61—41no—
248C2×C4×C61—41no—
249C2×C4×C61—41no—
250C2×C4×C61—41no—
251C2×C4×C61—41no—
252C2×C4×C61—41no—
253C2×C4×C61—41no—
254C2×C4×C61C2×C4⋊C412yes—
255C2×C4×C61C2×C4⋊C412yes—
256C2×C4×C61C23×C411yescharacteristic
257C2×C4×C61C22×D411yescharacteristic
258C2×C4×C61C22×Q811yescharacteristic
259C2×C4×C61C2×#4111yescharacteristic
260C2×C4×C61H(5,𝔽2)11yescharacteristic
261C2×C4×C612−1+411yescharacteristic
262C2×Dic61—21no—
263C2×Dic61—21no—
264C2×Dic61—21no—
265C2×Dic61—21no—
266C2×Dic61—41no—
267C2×Dic61—41no—
268C2×Dic61—41no—
269C2×Dic61—41no—
270C2×Dic61—41no—
271C2×Dic61—41no—
272C2×Dic61—41no—
273C2×Dic61—41no—
274C2×Dic61—41no—
275C2×Dic61—41no—
276C2×Dic61—41no—
277C2×Dic61—41no—
278C2×Dic61C2×C4⋊C412yes—
279C2×Dic61C2×C4⋊C412yes—
280D244—28no—
281C4×D61—22no—
282C4×D61—22no—
283C4×D61—22no—
284C4×D61—22no—
285C4×D61—22no—
286C4×D61—22no—
287C4×D61—22no—
288C4×D61—22no—
289C4×D61—84no—
290C4×D61—84no—
291C4×D61—84no—
292C8×C61—22no—
293C8×C61C4×D414yescomplemented
294#92418—22no—
295#92418—22no—
296#22659—611nomaximal, Sylow
297C22×C61C22×C4⋊C411yescharacteristic
298C22×C61D4211yescharacteristic
299C22×C61#54711yescharacteristic
300C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
301C22×C61C2×#13711yescharacteristic
302C22×C61#57711yescharacteristic
303C22×C61#57711yescharacteristic
304C2×D61—22no—
305C2×D61—22no—
306C2×D61—22no—
307C2×D61—22no—
308C2×D61—22no—
309C2×D61—22no—
310C2×D61—22no—
311C2×D61—22no—
312C2×D61—22no—
313C2×D61—41no—
314C2×D61—41no—
315C2×D61—41no—
316C2×D61—41no—
317C2×D61#42814yescomplemented
318C4×C61—22no—
319C4×C61—22no—
320C4×C61—42no—
321C4×C61—42no—
322C4×C61—81no—
323C4×C61—81no—
324C4×C61C2×C4×D411yescharacteristic
325C4×C61#52011yescharacteristic
326C4×C61D4×Q811yescharacteristic
327C4×C61#55411yescharacteristic
328Dic61—22no—
329Dic61—22no—
330Dic61—81no—
331Dic61—81no—
332Dic61—81no—
333Dic61—81no—
334C2×#435—611no—
335C2×#428—611no—
336C22×#106—611no—
337#2352—611no—
338D4×C4⋊C4—611no—
339#1949—611no—
340#1948—611no—
341#1854—611no—
342#1853—611no—
343#1853—611no—
344#1852—611no—
345#1847—611no—
346#1809—611no—
347#1808—611no—
348#1776D6111yescharacteristic, complemented
349C2×C61D4×C4⋊C411yescharacteristic
350C2×C61C2×#42811yescharacteristic
351C2×C61#291211yescharacteristic
352C2×C61#326511yescharacteristic
353C2×C61#326611yescharacteristic
354C2×C61#334411yescharacteristic
355C2×C61#334511yescharacteristic
356D61—24no—
357D61—42no—
358C22×M16—611no—
359C23×C8—611no—
360C2×C4×D4—611no—
361C2×C4×D4—1221no—
362C2×#117—611no—
363C22×C4⋊C4—611no—
364C22×C4⋊C4—611no—
365C22×C4⋊C4—611no—
366#435—618no—
367#428—1224no—
368C2×#107—611no—
369C2×#107—611no—
370C2×#107—611no—
371C2×#107C2×D6111yescharacteristic
372C2×#106—611no—
373C2×#106—611no—
374C2×#106—611no—
375C2×#106—611no—
376C2×#106—611no—
377C2×#106—1224no—
378C2×#106C2×D6111yescharacteristic
379C2×C4⋊C8—611no—
380C2×C22⋊C8—611no—
381C2×C22⋊C8—611no—
382C2×#97C2×D6111yescharacteristic
383#389—1221no—
384#388—1221no—
385#387—1221no—
386#386—1221no—
387#385—1221no—
388#385—1221no—
389#384—611no—
390#382—611no—
391#380—611no—
392#380—611no—
393#380—611no—
394#380—611no—
395C4×C4⋊C4C2×D6111yescharacteristic
396C4×C4⋊C4C2×D6111yescharacteristic
397C4×C22⋊C4—1221no—
398#340—611no—
399#340—611no—
400#340—611no—
401#340—611no—
402#340C2×D6111yescharacteristic
403#340C2×D6111yescharacteristic
404C61#2265911yescharacteristic, complemented, Sylow
405C22×D4—611no—
406C23×C4—611no—
407C23×C4—611no—
408C23×C4—1221no—
409C23×C4—1221no—
410C23×C4—1221no—
411C2×M16—614no—
412C2×M16—1222no—
413C2×M16—1222no—
414C22×C8—611no—
415C22×C8—611no—
416C22×C8—614no—
417C22×C8—1222no—
418C22×C8—1222no—
419C22×C8C22×D6111yescharacteristic
420C22×C8C22×D6111yescharacteristic
421C4×D4—614no—
422C4×D4—614no—
423C4×D4—2444no—
424#117—1222no—
425#117—2441no—
426C2×C4⋊C4—611no—
427C2×C4⋊C4—611no—
428C2×C4⋊C4—611no—
429C2×C4⋊C4—611no—
430C2×C4⋊C4—611no—
431C2×C4⋊C4—1222no—
432C2×C4⋊C4—1222no—
433C2×C4⋊C4—1222no—
434C2×C4⋊C4—1221no—
435C2×C4⋊C4—1221no—
436C2×C4⋊C4—1221no—
437C2×C4⋊C4—1221no—
438C2×C4⋊C4—1221no—
439C2×C4⋊C4—2441no—
440C2×C4⋊C4—2441no—
441C2×C4⋊C4—2441no—
442C2×C4⋊C4C22×D6111yescharacteristic
443C2×C4⋊C4C22×D6111yescharacteristic
444C2×C4⋊C4C22×D6111yescharacteristic
445C2×C4⋊C4C22×D6111yescharacteristic
446C2×C22⋊C4—611no—
447C2×C22⋊C4—611no—
448C2×C22⋊C4—1221no—
449C2×C22⋊C4—1221no—
450C2×C22⋊C4—1221no—
451C2×C22⋊C4—1221no—
452C2×C22⋊C4—1221no—
453C2×C42—21no—
454C2×C42—21no—
455C2×C42—1221no—
456C2×C42C22×D6111yescharacteristic
457#107—22no—
458#107—1222no—
459#107—1222no—
460#107—2441no—
461#106—1222no—
462#106—1222no—
463#106—1222no—
464#106—1222no—
465#106—2441no—
466#106D24414yescomplemented
467C4⋊C8—614no—
468C22⋊C8—614no—
469C22⋊C8—614no—
470#97C4×D6114yescomplemented
471#95—21no—
472#95—21no—
473#95—1221no—
474#95—1221no—
475#95—1221no—
476#95—1221no—
477#95—1221no—
478#95—1221no—
479C24—611no—
480C24—611no—
481C2×D4—614no—
482C2×D4—1222no—
483C2×D4—1222no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—611no—
489C22×C4—611no—
490C22×C4—612no—
491C22×C4—612no—
492C22×C4—612no—
493C22×C4—612no—
494C22×C4—1221no—
495C22×C4—1221no—
496C22×C4—1221no—
497C22×C4—1221no—
498C22×C4—1221no—
499C22×C4—1221no—
500C22×C4—1221no—
501C22×C4—1221no—
502C22×C4—1221no—
503C22×C4—1221no—
504C22×C4—1221no—
505C22×C4—1221no—
506C22×C4—4881no—
507C22×C4—4881no—
508C22×C4—4881no—
509C22×C4—2442no—
510C22×C4—2442no—
511C22×C4—2442no—
512C22×C4—2442no—
513C22×C4—2442no—
514C22×C4—2442no—
515C22×C4D4×D6111yescharacteristic
516C22×C4D4×D6111yescharacteristic
517C22×C4C23×D6111yescharacteristic
518M16—1228no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—612no—
522C2×C8—612no—
523C2×C8—1221no—
524C2×C8—1221no—
525C2×C8—1221no—
526C2×C8—1221no—
527C2×C8—1228no—
528C2×C8C2×C4×D6112yes—
529C2×C8C2×C4×D6112yes—
530C2×C8C2×D24412yes—
531C2×C8#1175822212yes—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—614no—
539C4⋊C4—1221no—
540C4⋊C4—1221no—
541C4⋊C4—1221no—
542C4⋊C4—1221no—
543C4⋊C4—1221no—
544C4⋊C4—1221no—
545C4⋊C4—1221no—
546C4⋊C4—1221no—
547C4⋊C4—4881no—
548C4⋊C4—2442no—
549C4⋊C4—2442no—
550C4⋊C4—2442no—
551C4⋊C4—2442no—
552C4⋊C4C2×D24412yes—
553C4⋊C4C2×D24412yes—
554C22⋊C4—614no—
555C22⋊C4—614no—
556C22⋊C4—4881no—
557C22⋊C4—2442no—
558C22⋊C4—2442no—
559C22⋊C4—2442no—
560C22⋊C4—2442no—
561C42—42no—
562C42—81no—
563C42—2442no—
564C42C2×C4×D6112yes—
565C42Q8×D6112yes—
566C23—612no—
567C23—612no—
568C23—612no—
569C23—612no—
570C23—1221no—
571C23—1221no—
572C23—1221no—
573C23—1221no—
574C23—1221no—
575C23—1221no—
576C23—1221no—
577C23—1221no—
578C23—1221no—
579C23—1221no—
580C23C2×D4×D6111yescharacteristic
581D4—1228no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—612no—
599C2×C4—612no—
600C2×C4—1221no—
601C2×C4—1221no—
602C2×C4—1221no—
603C2×C4—1221no—
604C2×C4—1222no—
605C2×C4—1222no—
606C2×C4—1222no—
607C2×C4—1222no—
608C2×C4—1222no—
609C2×C4—1222no—
610C2×C4—1222no—
611C2×C4—1222no—
612C2×C4—4884no—
613C2×C4—4884no—
614C2×C4—4884no—
615C2×C4—2441no—
616C2×C4—2441no—
617C2×C4—2441no—
618C2×C4—2441no—
619C2×C4—2441no—
620C2×C4—2441no—
621C2×C4—2441no—
622C2×C4—2441no—
623C2×C4—2441no—
624C2×C4—2441no—
625C2×C4—2441no—
626C2×C4—2441no—
627C2×C4C4⋊C4×D6112yes—
628C2×C4C4⋊C4×D6112yes—
629C2×C4C22×C4×D6111yescharacteristic
630C2×C4C22×D24411yescharacteristic
631C2×C4C2×Q8×D6111yescharacteristic
632C2×C4C2×#1175822211yescharacteristic
633C2×C4#1451982311yescharacteristic
634C2×C4#1451982411yescharacteristic
635C8—22no—
636C8—1222no—
637C8—1222no—
638C8C4×D24414yescomplemented
639C22—614no—
640C22—1222no—
641C22—1222no—
642C22—1222no—
643C22—1222no—
644C22—1222no—
645C22—1222no—
646C22—1222no—
647C22—1222no—
648C22—1222no—
649C22—2441no—
650C22—2441no—
651C22—2441no—
652C22—2441no—
653C22C2×C4⋊C4×D6111yescharacteristic
654C22D4×D24411yescharacteristic
655C22#1684041711yescharacteristic
656C22AGL(1,ℤ/8)×D6111yescharacteristic
657C22#137×D6111yescharacteristic
658C22#1684057111yescharacteristic
659C22#1684057211yescharacteristic
660C4—22no—
661C4—22no—
662C4—42no—
663C4—42no—
664C4—81no—
665C4—81no—
666C4—1222no—
667C4—1222no—
668C4—4881no—
669C4—4881no—
670C4—4881no—
671C4—4881no—
672C4C2×C4×D24411yescharacteristic
673C4#1684024211yescharacteristic
674C4Q8×D24411yescharacteristic
675C4#1684047211yescharacteristic
676C2—1224no—
677C2—2442no—
678C2C4⋊C4×D24411yescharacteristic
679C2#428×D6111yescharacteristic
680C2#2145441311yescharacteristic
681C2#2145731611yescharacteristic
682C2#2145733111yescharacteristic
683C2#2145827911yescharacteristic
684C2#2145829411yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1776C2
socleC23×C61C22×D4
prime radicalC22×D244D4
cosocleC22×C4×C61C24
hypercenter#1776D61
hypocenterC61#22659
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1776

Complements

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

NH ≅ G/Ntype
2. C2×#16839801C2semidirect
3. C2×#106×D61C2semidirect
6. #21446587C2semidirect
7. #21446582C2semidirect
8. #21446021C2semidirect
9. #21446013C2semidirect
10. #21446013C2semidirect
11. #21446008C2semidirect
12. #21445987C2semidirect
13. #21445853C2semidirect
14. #21445845C2semidirect
15. C61×#1776C2semidirect
24. #16839835C4semidirect
70. C2×#11758189C2×C4semidirect
75. C2×C8×D61C2×C4semidirect
113. C4⋊#92418C2×C4semidirect
114. #14519689C2×C4semidirect
115. #14519689C2×C4semidirect
132. #106×C61D4semidirect
133. #97×C61C2×C4semidirect
293. C8×C61C4×D4semidirect
317. C2×D61#428semidirect
348. #1776D61semidirect
404. C61#22659semidirect
466. #106D244semidirect
470. #97C4×D61semidirect
638. C8C4×D244semidirect

Maximal subgroups

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

subgroupindex
C2×#168398352
C2×#168398012
C2×#106×D612
#214487512
C4⋊C4×D2442
#214465872
#214465822
#214460212
#214460132
#214460082
#214459872
#214458532
#214458452
C61×#17762
#2265961