Finite Group Databasebeta

← #29702268

Subgroups — #29702268

Order 15616.

1066 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839960C211yesmaximal, characteristic
2C2×SD16×Dic61C211yesmaximal, characteristic, complemented
3C2×C4×#11758201C211yesmaximal, characteristic, complemented
4#21448880C211yesmaximal, characteristic
5Q8×#11758196C211yesmaximal, characteristic, complemented
6#21446623C211yesmaximal, characteristic
7#21446581C211yesmaximal, characteristic, complemented
8#21446505C211yesmaximal, characteristic, complemented
9#21446500C211yesmaximal, characteristic, complemented
10#21446172C211yesmaximal, characteristic, complemented
11#21446083C211yesmaximal, characteristic, complemented
12#21446078C211yesmaximal, characteristic, complemented
13#21445680C211yesmaximal, characteristic, complemented
14#103×Dic61C211yesmaximal, characteristic, complemented
15C61×#1880C211yesmaximal, characteristic, complemented
16C22×#11758201C2211yescharacteristic
17C2×#14519773C2211yescharacteristic
18C2×Q8×Dic61C2211yescharacteristic
19C2×Q8×Dic61C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21C2×D4×Dic61C2211yescharacteristic
22C2×#14519737—21no—
23#16839960C418yescomplemented
24SD16×Dic61—24no—
25C4×#11758201—24no—
26C2×#14519709C2211yescharacteristic
27C2×#14519708C2211yescharacteristic
28C2×#14519706C2211yescharacteristic
29C2×#14519701C2211yescharacteristic
30C2×#14519699C2211yescharacteristic
31C2×#14519699C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×#14519698C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35C2×C4×#92418C2211yescharacteristic
36C2×C8×Dic61C2211yescharacteristic
37C2×C8×Dic61C2211yescharacteristic
38#16839663C2211yescharacteristic
39#16839662—21no—
40#16839660—21no—
41#16839660C2211yescharacteristic
42#16839658—21no—
43#16839658C2211yescharacteristic
44#16839639—21no—
45#16839638—21no—
46#16839631—21no—
47#16839631C2211yescharacteristic
48C4⋊C4×Dic61C2211yescharacteristic
49C4×#11758196—21no—
50C4×#11758196C2211yescharacteristic
51#16839525C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839516C2211yescharacteristic
55C22×SD16×C61C2211yescharacteristic
56C2×C4×Q8×C61C2211yescharacteristic
57C2×#103×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C61×#390C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#336C2211yescharacteristic
62C22×D244C2311yescharacteristic
63C22×C22⋊D61—21no—
64C22×C22⋊D61—21no—
65C23×Dic61—21no—
66C22×C4×D61—21no—
67C2×#11758201—22no—
68C2×#11758201—22no—
69C2×#11758201C2×C414yescomplemented
70C22×#92418C2311yescharacteristic
71C22×#92418C2311yescharacteristic
72#14519773—22no—
73#14519773C2×C414yes—
74Q8×Dic61—22no—
75Q8×Dic61—22no—
76Q8×Dic61—41no—
77Q8×Dic61C2×C414yescomplemented
78C4×D244—22no—
79C4×D244—41no—
80D4×Dic61—22no—
81D4×Dic61—41no—
82#14519737—44no—
83C2×C4⋊Dic61—21no—
84C2×C4⋊Dic61—21no—
85C2×C4⋊Dic61C2311yescharacteristic
86C2×C4⋊Dic61C2311yescharacteristic
87C2×C4⋊Dic61C2311yescharacteristic
88C2×#11758196—21no—
89C2×#11758196—21no—
90C2×#11758196—21no—
91C2×#11758196—21no—
92C2×#11758196D411yescharacteristic
93C2×#11758196D411yescharacteristic
94C2×C22⋊Dic61—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198—21no—
98C2×C4×Dic61—21no—
99C2×C4×Dic61—21no—
100C2×C4×Dic61—21no—
101C2×C4×Dic61C2311yescharacteristic
102C2×C4×Dic61C2311yescharacteristic
103#14519709—22no—
104#14519708—22no—
105#14519706C2×C414yescomplemented
106#14519701D414yescomplemented
107#14519699—41no—
108#14519699C2×C414yescomplemented
109#14519698—22no—
110#14519698C2×C414yescomplemented
111#14519697—22no—
112C4×#92418—22no—
113C8×Dic61—22no—
114C8×Dic61—22no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684D411yescharacteristic
119#14519684D411yescharacteristic
120C22×Q8×C61C2311yescharacteristic
121C22×D4×C61C2311yescharacteristic
122C2×SD16×C61—22no—
123C2×SD16×C61—22no—
124C2×SD16×C61C2×C414yescomplemented
125C22×C8×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127C4×Q8×C61—22no—
128C4×Q8×C61—41no—
129C2×C4⋊C4×C61—21no—
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C22⋊C4×C61—21no—
133C2×C22⋊C4×C61—21no—
134C2×C42×C61—21no—
135C2×C42×C61C2311yescharacteristic
136#103×C61—22no—
137#102×C61—41no—
138C24×C61—21no—
139C23×D61—21no—
140C2×Q8×C61—21no—
141C2×Q8×C61—21no—
142C2×Q8×C61—21no—
143C2×Q8×C61C22×C412yes—
144C2×Q8×C61C2×D412yes—
145C2×Q8×C61#4112yes—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61C22×C412yes—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2411yescharacteristic
158C2×C22⋊D61—24no—
159C2×C22⋊D61—24no—
160C2×C22⋊D61—42no—
161C2×C22⋊D61—42no—
162C2×C22⋊D61—81no—
163C2×C22⋊D61—81no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—42no—
168C22×Dic61—42no—
169C22×Dic61—81no—
170C22×Dic61C2×D411yescharacteristic
171C22×Dic61C2×D411yescharacteristic
172C22×Dic61C2×D411yescharacteristic
173C22×Dic61C2×D411yescharacteristic
174C2×D244—21no—
175C2×D244—21no—
176C2×D244—21no—
177C2×D244—21no—
178C2×D244—21no—
179C2×D244C22×C412yes—
180C2×C4×D61—42no—
181C2×C4×D61—42no—
182C2×C4×D61—81no—
183SD16×C61—28no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61C22×C412yes—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—42no—
195C22⋊C4×C61—42no—
196C22⋊C4×C61—81no—
197C42×C61—21no—
198C42×C61—21no—
199C42×C61—42no—
200C22⋊Dic61—42no—
201#11758201—28no—
202#11758198—42no—
203#11758198—42no—
204#11758198—81no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—24no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—42no—
211C4⋊Dic61C22×C412yes—
212C4⋊Dic61C2×D412yes—
213#11758196—22no—
214#11758196—42no—
215#11758196—81no—
216#11758196—81no—
217#11758196—81no—
218#11758196SD1614yescomplemented
219C4×Dic61—21no—
220C4×Dic61—21no—
221C4×Dic61—24no—
222C4×Dic61—42no—
223C4×Dic61—42no—
224C4×Dic61C22×C412yes—
225C4×Dic61#4112yes—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418C22×C412yes—
231C2×#92418C2×D412yes—
232C23×C61—22no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61C22×D411yescharacteristic
240C22×D61—22no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247Q8×C61—22no—
248Q8×C61—22no—
249Q8×C61—22no—
250Q8×C61C4×D414yescomplemented
251D4×C61—22no—
252D4×C61—22no—
253D4×C61—41no—
254D4×C61—41no—
255C2×C4×C61—22no—
256C2×C4×C61—22no—
257C2×C4×C61—21no—
258C2×C4×C61—22no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61C2×SD1612yes—
270C2×C4×C61C23×C411yescharacteristic
271C2×C4×C61C22×D411yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61H(5,𝔽2)11yescharacteristic
275C2×C4×C612−1+411yescharacteristic
276C22⋊D61—48no—
277C22⋊D61—84no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—22no—
283C2×Dic61—21no—
284C2×Dic61—22no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—84no—
295C2×Dic61C4×D412yes—
296C2×Dic61C4×D412yes—
297C2×Dic61C2×SD1612yes—
298C2×Dic61C2×SD1612yes—
299C2×Dic61#13512yes—
300D244—22no—
301D244—22no—
302D244—41no—
303D244—41no—
304C4×D61—84no—
305C8×C61—22no—
306C8×C61—41no—
307#92418—22no—
308#92418—22no—
309#22997—611nomaximal, Sylow
310C22×C61—42no—
311C22×C61—42no—
312C22×C61—42no—
313C22×C61—81no—
314C22×C61—81no—
315C22×C61—81no—
316C22×C61—81no—
317C22×C61C2×C4×D411yescharacteristic
318C22×C61D4211yescharacteristic
319C22×C61#54811yescharacteristic
320C22×C61C22×SD1611yescharacteristic
321C22×C61C2×#13511yescharacteristic
322C22×C61#57611yescharacteristic
323C22×C61#57711yescharacteristic
324C2×D61—42no—
325C2×D61—42no—
326C2×D61—42no—
327C2×D61—81no—
328C2×D61—81no—
329C2×D61—81no—
330C2×D61—81no—
331C4×C61—24no—
332C4×C61—22no—
333C4×C61—41no—
334C4×C61—81no—
335C4×C61—81no—
336C4×C61C2×C4×D411yescharacteristic
337C4×C61#52011yescharacteristic
338C4×C61#54711yescharacteristic
339C4×C61#55311yescharacteristic
340Dic61—22no—
341Dic61—22no—
342Dic61—42no—
343Dic61—42no—
344Dic61—41no—
345Dic61—81no—
346Dic61C4×SD1614yescomplemented
347C2×#460—611no—
348C2×C4×SD16—611no—
349C2×C4×SD16—611no—
350#2366—611no—
351Q8×C4⋊C4—611no—
352#1957—611no—
353#1948—611no—
354#1934—611no—
355#1934—611no—
356#1880—611no—
357#1880D6111yescharacteristic, complemented
358#1864—611no—
359#1864—611no—
360C8×C4⋊C4—611no—
361C4×#103—611no—
362C2×C61—82no—
363C2×C61#236111yescharacteristic
364C2×C61C2×C4×SD1611yescharacteristic
365C2×C61#294611yescharacteristic
366C2×C61D4×SD1611yescharacteristic
367C2×C61#328711yescharacteristic
368C2×C61#336211yescharacteristic
369C2×C61#336511yescharacteristic
370D61—82no—
371C22×SD16—611no—
372C22×SD16C2×D6111yescharacteristic
373C2×#127—611no—
374C2×C4×Q8—611no—
375C2×C4×Q8—611no—
376C2×C4×Q8C2×D6111yescharacteristic
377C2×C4×D4—611no—
378C2×C4×D4—611no—
379C2×C4×D4—1221no—
380#460—618no—
381C4×SD16—1224no—
382C4×SD16—1224no—
383C2×#106—611no—
384C2×#106—611no—
385C2×C4⋊C8—611no—
386C2×#103—611no—
387C2×#103C2×D6111yescharacteristic
388C2×#102—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×#102—611no—
393C2×#102C2×D6111yescharacteristic
394C2×C4×C8—611no—
395C2×C4×C8—611no—
396C2×C4×C8—611no—
397#390—611no—
398#390—1221no—
399#390C2×D6111yescharacteristic
400#389—611no—
401#389—611no—
402#389—1221no—
403#389—1221no—
404#386—1221no—
405#386—1221no—
406#384—611no—
407#384—1221no—
408C4×C4⋊C4—611no—
409C4×C4⋊C4—611no—
410C4×C4⋊C4—1221no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340C2×D6111yescharacteristic
415#336—611no—
416#336C2×D6111yescharacteristic
417C61#2299711yescharacteristic, complemented, Sylow
418C22×Q8C22×D6111yescharacteristic
419C22×D4—611no—
420C22×D4—1221no—
421C22×D4—1221no—
422C22×D4C22×D6111yescharacteristic
423C23×C4—1221no—
424C23×C4—1221no—
425C2×SD16—22no—
426C2×SD16—22no—
427C2×SD16—614no—
428C2×SD16—1222no—
429C2×SD16—1222no—
430C2×SD16C4×D6114yescomplemented
431C22×C8—611no—
432C22×C8—611no—
433C22×C8C22×D6111yescharacteristic
434C22×C8C22×D6111yescharacteristic
435#127—614no—
436#127—1222no—
437C4×Q8—22no—
438C4×Q8—41no—
439C4×Q8—614no—
440C4×Q8—1222no—
441C4×Q8—1222no—
442C4×Q8—2441no—
443C4×D4—1222no—
444C4×D4—1222no—
445C4×D4—2441no—
446C4×D4—2441no—
447C4×D4—2444no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—1221no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4C22×D6111yescharacteristic
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C42—21no—
469C2×C42—611no—
470C2×C42—611no—
471C2×C42—1221no—
472C2×C42—1221no—
473C2×C42—1221no—
474C2×C42C22×D6111yescharacteristic
475#106—1222no—
476#106—1222no—
477C4⋊C8—614no—
478#103—22no—
479#103—614no—
480#102—41no—
481#102—614no—
482#102—614no—
483#102—1222no—
484#102—1222no—
485#102—2441no—
486C4×C8—1222no—
487C4×C8—1222no—
488C4×C8—1222no—
489#95—611no—
490#95—611no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494C24—21no—
495C24—1221no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D6112yes—
500C2×Q8D4×D6112yes—
501C2×Q8#1175822412yes—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—612no—
508C2×D4—1224no—
509C2×D4—1224no—
510C2×D4—1221no—
511C2×D4—1221no—
512C2×D4—1221no—
513C2×D4—1221no—
514C2×D4—1221no—
515C2×D4—4881no—
516C2×D4—4881no—
517C2×D4—2442no—
518C2×D4—2442no—
519C2×D4C2×C4×D6112yes—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—611no—
524C22×C4—611no—
525C22×C4—611no—
526C22×C4—611no—
527C22×C4—1221no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—4881no—
531C22×C4—4881no—
532C22×C4—2442no—
533C22×C4—2442no—
534C22×C4—2442no—
535C22×C4—2442no—
536C22×C4D4×D6111yescharacteristic
537C22×C4D4×D6111yescharacteristic
538C22×C4C23×D6111yescharacteristic
539SD16—28no—
540SD16—1228no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—612no—
547C2×C8—612no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8C2×C4×D6112yes—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—42no—
558C4⋊C4—614no—
559C4⋊C4—612no—
560C4⋊C4—612no—
561C4⋊C4—1222no—
562C4⋊C4—1224no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—4881no—
568C4⋊C4—4881no—
569C4⋊C4—4881no—
570C4⋊C4—2442no—
571C4⋊C4—2442no—
572C22⋊C4—42no—
573C22⋊C4—81no—
574C22⋊C4—4881no—
575C22⋊C4—2442no—
576C22⋊C4—2442no—
577C22⋊C4—2442no—
578C42—21no—
579C42—21no—
580C42—42no—
581C42—612no—
582C42—612no—
583C42—1224no—
584C42—1221no—
585C42—1221no—
586C42—2442no—
587C42—2442no—
588C23—22no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—1222no—
596C23—2441no—
597C23—2441no—
598C23—2441no—
599C23—2441no—
600C23—2441no—
601C23—2441no—
602C23C2×D4×D6111yescharacteristic
603Q8—22no—
604Q8—22no—
605Q8—22no—
606Q8#1451973714yescomplemented
607D4—22no—
608D4—22no—
609D4—41no—
610D4—41no—
611D4—1222no—
612D4—1222no—
613D4—4884no—
614D4—2448no—
615D4—2441no—
616D4—2441no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—612no—
632C2×C4—612no—
633C2×C4—612no—
634C2×C4—612no—
635C2×C4—612no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1222no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1222no—
645C2×C4—4884no—
646C2×C4—4884no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4SD16×D6112yes—
655C2×C4C22×C4×D6111yescharacteristic
656C2×C4C2×D4×D6111yescharacteristic
657C2×C4#41×D6111yescharacteristic
658C2×C4C2×#1175822411yescharacteristic
659C2×C4#1451982211yescharacteristic
660C2×C4#1451982411yescharacteristic
661C8—22no—
662C8—41no—
663C8—1222no—
664C8—1222no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—4881no—
673C22—4881no—
674C22—4881no—
675C22—4881no—
676C22—2442no—
677C22—2442no—
678C22—2442no—
679C22C4×D4×D6111yescharacteristic
680C22#1684039411yescharacteristic
681C22#1684041811yescharacteristic
682C22C2×SD16×D6111yescharacteristic
683C22#135×D6111yescharacteristic
684C22#1684056611yescharacteristic
685C22#1684057111yescharacteristic
686C4—22no—
687C4—24no—
688C4—41no—
689C4—81no—
690C4—81no—
691C4—614no—
692C4—1222no—
693C4—1222no—
694C4—4881no—
695C4—2442no—
696C4—2442no—
697C4—2441no—
698C4C2×#1451973711yescharacteristic
699C4#1684024111yescharacteristic
700C4#1684041011yescharacteristic
701C4#1684045511yescharacteristic
702C2—82no—
703C2—4882no—
704C2#2144883011yescharacteristic
705C2C4×SD16×D6111yescharacteristic
706C2#2145465011yescharacteristic
707C2#2145750811yescharacteristic
708C2#2145757211yescharacteristic
709C2#2145848511yescharacteristic
710C2#2145851011yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1880C2
socleC23×C61C22×D4
prime radicalC2×#14519773C22
cosocleC22×C4×C61C24
hypercenter#1880D61
hypocenterC61#22997
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1880

Complements

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

NH ≅ G/Ntype
2. C2×SD16×Dic61C2semidirect
3. C2×C4×#11758201C2semidirect
5. Q8×#11758196C2semidirect
7. #21446581C2semidirect
8. #21446505C2semidirect
9. #21446500C2semidirect
10. #21446172C2semidirect
11. #21446083C2semidirect
12. #21446078C2semidirect
13. #21445680C2semidirect
14. #103×Dic61C2semidirect
15. C61×#1880C2semidirect
23. #16839960C4semidirect
69. C2×#11758201C2×C4semidirect
77. Q8×Dic61C2×C4semidirect
105. #14519706C2×C4semidirect
106. #14519701D4semidirect
108. #14519699C2×C4semidirect
110. #14519698C2×C4semidirect
124. C2×SD16×C61C2×C4semidirect
218. #11758196SD16semidirect
250. Q8×C61C4×D4semidirect
346. Dic61C4×SD16semidirect
357. #1880D61semidirect
417. C61#22997semidirect
430. C2×SD16C4×D61semidirect
606. Q8#14519737semidirect

Maximal subgroups

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

subgroupindex
C2×#168399602
C2×SD16×Dic612
C2×C4×#117582012
#214488802
Q8×#117581962
#214466232
#214465812
#214465052
#214465002
#214461722
#214460832
#214460782
#214456802
#103×Dic612
C61×#18802
#2299761