Finite Group Databasebeta

← #29702274

Subgroups — #29702274

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×#16839847C211yesmaximal, characteristic, complemented
3#21448881C211yesmaximal, characteristic
4Q8×#11758196C211yesmaximal, characteristic, complemented
5#21446623C211yesmaximal, characteristic
6#21446579C211yesmaximal, characteristic, complemented
7#21446502C211yesmaximal, characteristic, complemented
8#21446499C211yesmaximal, characteristic, complemented
9#21446176C211yesmaximal, characteristic, complemented
10#21446174C211yesmaximal, characteristic, complemented
11#21446080C211yesmaximal, characteristic, complemented
12#21446077C211yesmaximal, characteristic, complemented
13C8×#11758196C211yesmaximal, characteristic, complemented
14#103×Dic61C211yesmaximal, characteristic, complemented
15C2×C4×SD16×C61C211yesmaximal, characteristic, complemented
16C22×#11758201C2211yescharacteristic
17C2×#14519773C2211yescharacteristic
18C2×Q8×Dic61C2211yescharacteristic
19C2×Q8×Dic61C2211yescharacteristic
20C2×#14519739C2211yescharacteristic
21C2×C4×C22⋊D61—21no—
22#16839960C418yescomplemented
23#16839847—24no—
24C2×#14519708C2211yescharacteristic
25C2×#14519706C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519699C2211yescharacteristic
28C2×#14519699C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×#14519697C2211yescharacteristic
32C2×C8×Dic61C2211yescharacteristic
33C2×C8×Dic61C2211yescharacteristic
34#16839665C2211yescharacteristic
35#16839664C2211yescharacteristic
36#16839662—21no—
37#16839660—21no—
38#16839660C2211yescharacteristic
39#16839658—21no—
40#16839658C2211yescharacteristic
41#16839641—21no—
42#16839638—21no—
43#16839631—21no—
44#16839631C2211yescharacteristic
45C4⋊C4×Dic61C2211yescharacteristic
46C4×#11758196—21no—
47C4×#11758196C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839517C2211yescharacteristic
53#16839516C2211yescharacteristic
54C22×SD16×C61C2211yescharacteristic
55C2×C4×Q8×C61C2211yescharacteristic
56C2×C4×D4×C61C2211yescharacteristic
57C4×SD16×C61—24no—
58C2×#106×C61C2211yescharacteristic
59C2×#103×C61C2211yescharacteristic
60C2×#102×C61C2211yescharacteristic
61C2×C4×C8×C61C2211yescharacteristic
62C22×D244C2311yescharacteristic
63C22×C22⋊D61—21no—
64C22×C22⋊D61—21no—
65C22×C4×D61—21no—
66C2×#11758201—22no—
67C2×#11758201—22no—
68C2×#11758201C2×C414yescomplemented
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71#14519773—22no—
72#14519773C2×C414yes—
73Q8×Dic61—22no—
74Q8×Dic61—22no—
75Q8×Dic61—41no—
76Q8×Dic61C2×C414yescomplemented
77#14519739—22no—
78#14519739—41no—
79C4×C22⋊D61—44no—
80C2×C4⋊Dic61—21no—
81C2×C4⋊Dic61—21no—
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×#11758196—21no—
86C2×#11758196—21no—
87C2×#11758196—21no—
88C2×#11758196—21no—
89C2×#11758196D411yescharacteristic
90C2×#11758196D411yescharacteristic
91C2×C22⋊Dic61—21no—
92C2×C22⋊Dic61—21no—
93C2×#11758198—21no—
94C2×#11758198—21no—
95C2×#11758198—21no—
96C2×C4×Dic61—21no—
97C2×C4×Dic61—21no—
98C2×C4×Dic61—21no—
99C2×C4×Dic61C2311yescharacteristic
100C2×C4×Dic61C2311yescharacteristic
101#14519708—22no—
102#14519706C2×C414yescomplemented
103#14519701—22no—
104#14519699—22no—
105#14519699C2×C414yescomplemented
106#14519698—41no—
107#14519698C2×C414yescomplemented
108#14519697—41no—
109C8×Dic61—22no—
110C8×Dic61—22no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114#14519684D411yescharacteristic
115#14519684D411yescharacteristic
116C22×Q8×C61C2311yescharacteristic
117C22×D4×C61C2311yescharacteristic
118C23×C4×C61—21no—
119C2×SD16×C61—22no—
120C2×SD16×C61—22no—
121C2×SD16×C61C2×C414yescomplemented
122C22×C8×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124C4×Q8×C61—22no—
125C4×Q8×C61—41no—
126C4×D4×C61—22no—
127C4×D4×C61—41no—
128C2×C4⋊C4×C61—21no—
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C22⋊C4×C61—21no—
132C2×C42×C61—21no—
133C2×C42×C61C2311yescharacteristic
134#106×C61—22no—
135#103×C61D414yescomplemented
136#102×C61—22no—
137C4×C8×C61—22no—
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×C61—42no—
156C22×C4×C61—42no—
157C22×C4×C61—81no—
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2411yescharacteristic
161C2×C22⋊D61—24no—
162C2×C22⋊D61—24no—
163C2×C22⋊D61—42no—
164C2×C22⋊D61—42no—
165C2×C22⋊D61—81no—
166C2×C22⋊D61—81no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61—21no—
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×C61C22×C412yes—
189C2×C8×C61C2×D412yes—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—42no—
194C4⋊C4×C61C2×D412yes—
195C22⋊C4×C61—42no—
196C42×C61—21no—
197C42×C61—21no—
198C42×C61—42no—
199C22⋊Dic61—42no—
200C22⋊Dic61—81no—
201#11758201—28no—
202#11758198—42no—
203#11758198—42no—
204#11758198—81no—
205C4⋊Dic61—21no—
206C4⋊Dic61—24no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—42no—
212C4⋊Dic61C22×C412yes—
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×#92418—21no—
231C2×#92418C22×C412yes—
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—22no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—84no—
270C2×C4×C61C2×SD1612yes—
271C2×C4×C61C23×C411yescharacteristic
272C2×C4×C61C22×D411yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61H(5,𝔽2)11yescharacteristic
276C2×C4×C612−1+411yescharacteristic
277C22⋊D61—48no—
278C22⋊D61—84no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—22no—
284C2×Dic61—21no—
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—41no—
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—22no—
307#92418—22no—
308#92418—41no—
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—42no—
334C4×C61—41no—
335C4×C61—81no—
336C4×C61C2×C4×D411yescharacteristic
337C4×C61#52011yescharacteristic
338C4×C61#54711yescharacteristic
339C4×C61#55311yescharacteristic
340Dic61—22no—
341Dic61—22no—
342Dic61—42no—
343Dic61—41no—
344Dic61—81no—
345Dic61—81no—
346Dic61C4×SD1614yescomplemented
347C2×#460—611no—
348C2×C4×SD16—611no—
349C2×C4×SD16D6111yescharacteristic, complemented
350#2366—611no—
351Q8×C4⋊C4—611no—
352#1957—611no—
353#1948—611no—
354#1934—611no—
355#1934—611no—
356#1880—611no—
357#1880—611no—
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—1221no—
379C2×C4×D4C2×D6111yescharacteristic
380#460—618no—
381C4×SD16—24no—
382C4×SD16—1224no—
383C2×#106—611no—
384C2×#106C2×D6111yescharacteristic
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×C8C2×D6111yescharacteristic
397#390—611no—
398#390—611no—
399#390—1221no—
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#340—611no—
415#336—611no—
416#336—611no—
417C61#2299711yescharacteristic, complemented, Sylow
418C22×Q8C22×D6111yescharacteristic
419C22×D4—611no—
420C22×D4—1221no—
421C22×D4—1221no—
422C22×D4C22×D6111yescharacteristic
423C23×C4—21no—
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—22no—
444C4×D4—41no—
445C4×D4—1222no—
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—1221no—
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—22no—
476#106—1222no—
477C4⋊C8—614no—
478#103—1222no—
479#103C22⋊D6114yescomplemented
480#102—22no—
481#102—614no—
482#102—614no—
483#102—1222no—
484#102—2441no—
485#102—2441no—
486C4×C8—22no—
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×Q8#1175822212yes—
501C2×Q8C2×C22⋊D6112yes—
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—42no—
524C22×C4—42no—
525C22×C4—81no—
526C22×C4—611no—
527C22×C4—611no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—4881no—
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—612no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8C2×C4×D6112yes—
552C2×C8C2×C22⋊D6112yes—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—42no—
557C4⋊C4—614no—
558C4⋊C4—612no—
559C4⋊C4—1222no—
560C4⋊C4—1224no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—4881no—
567C4⋊C4—4881no—
568C4⋊C4—4881no—
569C4⋊C4—2442no—
570C4⋊C4—2442no—
571C4⋊C4C2×C22⋊D6112yes—
572C22⋊C4—42no—
573C22⋊C4—4881no—
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—
606Q8C4×C22⋊D6114yescomplemented
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—22no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—84no—
632C2×C4—612no—
633C2×C4—612no—
634C2×C4—612no—
635C2×C4—612no—
636C2×C4—612no—
637C2×C4—1221no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1222no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—4884no—
646C2×C4—2441no—
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×C4C22×C22⋊D6111yescharacteristic
657C2×C4#41×D6111yescharacteristic
658C2×C4C2×#1175822211yescharacteristic
659C2×C4#1451982211yescharacteristic
660C2×C4#1451982411yescharacteristic
661C8—22no—
662C8—22no—
663C8—1222no—
664C8—2441no—
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
680C22D4×C22⋊D6111yescharacteristic
681C22#1684042111yescharacteristic
682C22C2×SD16×D6111yescharacteristic
683C22#135×D6111yescharacteristic
684C22#1684056411yescharacteristic
685C22#1684056811yescharacteristic
686C4—22no—
687C4—24no—
688C4—42no—
689C4—41no—
690C4—81no—
691C4—614no—
692C4—1222no—
693C4—1222no—
694C4—4881no—
695C4—4881no—
696C4—2442no—
697C4—2441no—
698C4C2×C4×C22⋊D6111yescharacteristic
699C4#1684024111yescharacteristic
700C4#1684041111yescharacteristic
701C4#1684046111yescharacteristic
702C2—82no—
703C2—4882no—
704C2#2144883611yescharacteristic
705C2C4×SD16×D6111yescharacteristic
706C2#2145464611yescharacteristic
707C2SD16×C22⋊D6111yescharacteristic
708C2#2145757311yescharacteristic
709C2#2145848811yescharacteristic
710C2#2145851611yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C4×SD16×C61C2
socleC23×C61C22×D4
prime radicalC2×#14519773C22
cosocleC22×C4×C61C24
hypercenterC2×C4×SD16D61
hypocenterC61#22997
LCSG ▷ C2×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
2. C2×#16839847C2semidirect
4. Q8×#11758196C2semidirect
6. #21446579C2semidirect
7. #21446502C2semidirect
8. #21446499C2semidirect
9. #21446176C2semidirect
10. #21446174C2semidirect
11. #21446080C2semidirect
12. #21446077C2semidirect
13. C8×#11758196C2semidirect
14. #103×Dic61C2semidirect
15. C2×C4×SD16×C61C2semidirect
22. #16839960C4semidirect
68. C2×#11758201C2×C4semidirect
76. Q8×Dic61C2×C4semidirect
102. #14519706C2×C4semidirect
105. #14519699C2×C4semidirect
107. #14519698C2×C4semidirect
121. C2×SD16×C61C2×C4semidirect
135. #103×C61D4semidirect
218. #11758196SD16semidirect
250. Q8×C61C4×D4semidirect
346. Dic61C4×SD16semidirect
349. C2×C4×SD16D61semidirect
417. C61#22997semidirect
430. C2×SD16C4×D61semidirect
479. #103C22⋊D61semidirect
606. Q8C4×C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399602
C2×#168398472
#214488812
Q8×#117581962
#214466232
#214465792
#214465022
#214464992
#214461762
#214461742
#214460802
#214460772
C8×#117581962
#103×Dic612
C2×C4×SD16×C612
#2299761