Finite Group Databasebeta

← #29702276

Subgroups — #29702276

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×#16839961C211yesmaximal, characteristic
2C2×#16839849C211yesmaximal, characteristic, complemented
3C2×C4×#11758200C211yesmaximal, characteristic, complemented
4#21448881C211yesmaximal, characteristic
5#21448733C211yesmaximal, characteristic, complemented
6#21446623C211yesmaximal, characteristic
7#21446579C211yesmaximal, characteristic, complemented
8#21446504C211yesmaximal, characteristic, complemented
9#21446501C211yesmaximal, characteristic, complemented
10#21446173C211yesmaximal, characteristic, complemented
11#21446171C211yesmaximal, characteristic, complemented
12#21446081C211yesmaximal, characteristic, complemented
13#21445680C211yesmaximal, characteristic, complemented
14#21445638C211yesmaximal, characteristic, complemented
15C61×#1864C211yesmaximal, characteristic, complemented
16C22×#11758190C2211yescharacteristic
17C22×#11758200C2211yescharacteristic
18C2×#14519773C2211yescharacteristic
19C2×C4×Dic122C2211yescharacteristic
20C2×#14519742C2211yescharacteristic
21C2×#14519742C2211yescharacteristic
22C2×#14519739C2211yescharacteristic
23C2×C4×C22⋊D61—21no—
24#16839961C418yescomplemented
25#16839849—24no—
26C4×#11758200—24no—
27C2×#14519708C2211yescharacteristic
28C2×#14519706C2211yescharacteristic
29C2×#14519702C2211yescharacteristic
30C2×#14519700C2211yescharacteristic
31C2×#14519699C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35C2×C4×#92418C2211yescharacteristic
36C2×C8×Dic61C2211yescharacteristic
37C2×C8×Dic61C2211yescharacteristic
38#16839665C2211yescharacteristic
39#16839664C2211yescharacteristic
40#16839662—21no—
41#16839661C2211yescharacteristic
42#16839659—21no—
43#16839657—21no—
44#16839641—21no—
45#16839638—21no—
46#16839631—21no—
47#16839631C2211yescharacteristic
48C4⋊C4×Dic61C2211yescharacteristic
49C4×#11758196C2211yescharacteristic
50#16839613—21no—
51#16839525C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839516C2211yescharacteristic
55C2×C4×D4×C61C2211yescharacteristic
56C2×#106×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C61×#389C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#336C2211yescharacteristic
62C22×Dic122C2311yescharacteristic
63C22×D244C2311yescharacteristic
64C22×C22⋊D61—21no—
65C22×C22⋊D61—21no—
66C22×C4×D61—21no—
67C2×#11758190—22no—
68C2×#11758190—22no—
69C2×#11758190C2×C414yescomplemented
70C2×#11758200—22no—
71C2×#11758200—22no—
72C2×#11758200C2×C414yescomplemented
73C22×#92418C2311yescharacteristic
74C22×#92418C2311yescharacteristic
75#14519773—22no—
76#14519773C2×C414yes—
77C4×Dic122—22no—
78C4×Dic122—41no—
79#14519742—22no—
80#14519742—22no—
81#14519742—41no—
82#14519742C2×C414yescomplemented
83#14519739—22no—
84#14519739—41no—
85C4×C22⋊D61—44no—
86C2×C4⋊Dic61—21no—
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×#11758196—21no—
90C2×#11758196—21no—
91C2×#11758196—21no—
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×#11758196D411yescharacteristic
95C2×#11758196D411yescharacteristic
96C2×C22⋊Dic61—21no—
97C2×C22⋊Dic61—21no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×C4×Dic61—21no—
102C2×C4×Dic61—21no—
103C2×C4×Dic61—21no—
104C2×C4×Dic61—21no—
105C2×C4×Dic61C2311yescharacteristic
106C2×C4×Dic61C2311yescharacteristic
107#14519708—22no—
108#14519706C2×C414yescomplemented
109#14519702—22no—
110#14519700D414yescomplemented
111#14519699—41no—
112#14519698—22no—
113#14519697—22no—
114#14519697C2×C414yescomplemented
115C4×#92418—22no—
116C8×Dic61—22no—
117C8×Dic61—22no—
118#14519684—21no—
119#14519684—21no—
120#14519684D411yescharacteristic
121#14519684D411yescharacteristic
122C22×D4×C61C2311yescharacteristic
123C23×C4×C61—21no—
124C22×C8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C4×D4×C61—22no—
127C4×D4×C61—41no—
128C2×C4⋊C4×C61—21no—
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C22⋊C4×C61—21no—
133C2×C42×C61C2311yescharacteristic
134#106×C61—22no—
135#102×C61—41no—
136#102×C61C2×C414yescomplemented
137#95×C61—21no—
138C24×C61—21no—
139C23×D61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61C22×C412yes—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—42no—
150C22×C4×C61—42no—
151C22×C4×C61—81no—
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2411yescharacteristic
155C2×C22⋊D61—24no—
156C2×C22⋊D61—24no—
157C2×C22⋊D61—42no—
158C2×C22⋊D61—42no—
159C2×C22⋊D61—81no—
160C2×C22⋊D61—81no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61C2×D411yescharacteristic
165C22×Dic61C2×D411yescharacteristic
166C22×Dic61C2×D411yescharacteristic
167C22×Dic61C2×D411yescharacteristic
168C2×D244—21no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244C22×C412yes—
174C2×C4×D61—42no—
175C2×C4×D61—42no—
176C2×C4×D61—81no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122C22×C412yes—
181C2×Dic122C2×D412yes—
182C2×Dic122#4112yes—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61C22×C412yes—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—81no—
194C4⋊C4×C61C22×C412yes—
195C4⋊C4×C61C2×D412yes—
196C22⋊C4×C61—42no—
197C42×C61—21no—
198C42×C61—21no—
199C22⋊Dic61—42no—
200C22⋊Dic61—81no—
201#11758200—28no—
202#11758198—42no—
203#11758198—42no—
204#11758198—81no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—81no—
210#11758196—24no—
211#11758196—22no—
212#11758196—42no—
213#11758196—42no—
214#11758196—42no—
215#11758196—81no—
216#11758196SD1614yescomplemented
217C4×Dic61—21no—
218C4×Dic61—21no—
219C4×Dic61—24no—
220C4×Dic61—42no—
221C4×Dic61—42no—
222C4×Dic61—42no—
223C4×Dic61C22×C412yes—
224C4×Dic61#4112yes—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418C22×C412yes—
230C2×#92418C2×D412yes—
231#11758190—28no—
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—
247D4×C61—22no—
248D4×C61—22no—
249D4×C61—41no—
250D4×C61—41no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—22no—
254C2×C4×C61—21no—
255C2×C4×C61—22no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—84no—
266C2×C4×C61C2×SD1612yes—
267C2×C4×C61C23×C411yescharacteristic
268C2×C4×C61C22×D411yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61H(5,𝔽2)11yescharacteristic
272C2×C4×C612−1+411yescharacteristic
273C22⋊D61—48no—
274C22⋊D61—84no—
275C2×Dic61—22no—
276C2×Dic61—21no—
277C2×Dic61—22no—
278C2×Dic61—22no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61C4×D412yes—
292C2×Dic61C4×D412yes—
293C2×Dic61C2×SD1612yes—
294C2×Dic61C2×SD1612yes—
295C2×Dic61#13512yes—
296D244—22no—
297D244—22no—
298D244—41no—
299D244—41no—
300C4×D61—84no—
301Dic122—22no—
302Dic122—22no—
303Dic122—22no—
304Dic122C4×D414yescomplemented
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—22no—
332C4×C61—42no—
333C4×C61—42no—
334C4×C61—41no—
335C4×C61—81no—
336C4×C61C2×C4×D411yescharacteristic
337C4×C61#52011yescharacteristic
338C4×C61#54711yescharacteristic
339C4×C61#55311yescharacteristic
340Dic61—24no—
341Dic61—22no—
342Dic61—22no—
343Dic61—41no—
344Dic61—81no—
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#1880—611no—
358#1864—611no—
359#1864D6111yescharacteristic, complemented
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×SD16—611no—
373C2×#127—611no—
374C2×C4×Q8—611no—
375C2×C4×Q8—611no—
376C2×C4×Q8—611no—
377C2×C4×D4—611no—
378C2×C4×D4—1221no—
379C2×C4×D4C2×D6111yescharacteristic
380#460—618no—
381C4×SD16—1224no—
382C4×SD16—1224no—
383C2×#106—611no—
384C2×#106C2×D6111yescharacteristic
385C2×C4⋊C8—611no—
386C2×#103—611no—
387C2×#103—611no—
388C2×#102—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×#102C2×D6111yescharacteristic
393C2×#102C2×D6111yescharacteristic
394C2×C4×C8—611no—
395C2×C4×C8—611no—
396C2×C4×C8—611no—
397#390—611no—
398#390—611no—
399#390—1221no—
400#389—611no—
401#389—1221no—
402#389—1221no—
403#389C2×D6111yescharacteristic
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×Q8—611no—
419C22×D4—611no—
420C22×D4—1221no—
421C22×D4—1221no—
422C22×D4C22×D6111yescharacteristic
423C23×C4—21no—
424C23×C4—1221no—
425C2×SD16—614no—
426C2×SD16—614no—
427C2×SD16—1222no—
428C2×SD16—1222no—
429C2×SD16—1222no—
430C2×SD16—1222no—
431C22×C8—611no—
432C22×C8—611no—
433C22×C8C22×D6111yescharacteristic
434C22×C8C22×D6111yescharacteristic
435#127—614no—
436#127—1222no—
437C4×Q8—614no—
438C4×Q8—1222no—
439C4×Q8—1222no—
440C4×Q8—1222no—
441C4×Q8—2441no—
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—1221no—
454C2×C4⋊C4—1221no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4C22×D6111yescharacteristic
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—611no—
469C2×C42—611no—
470C2×C42—1221no—
471C2×C42—1221no—
472C2×C42—1221no—
473C2×C42—1221no—
474C2×C42C22×D6111yescharacteristic
475#106—22no—
476#106—1222no—
477C4⋊C8—614no—
478#103—614no—
479#103—1222no—
480#102—41no—
481#102—614no—
482#102—1222no—
483#102—1222no—
484#102—2441no—
485#102C4×D6114yescomplemented
486C4×C8—1222no—
487C4×C8—1222no—
488C4×C8—1222no—
489#95—21no—
490#95—611no—
491#95—611no—
492#95—1221no—
493#95—1221no—
494C24—21no—
495C24—1221no—
496C2×Q8—612no—
497C2×Q8—612no—
498C2×Q8—612no—
499C2×Q8—1221no—
500C2×Q8—1221no—
501C2×Q8—1221no—
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—1228no—
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—81no—
558C4⋊C4—614no—
559C4⋊C4—1222no—
560C4⋊C4—1224no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—4881no—
566C4⋊C4—4881no—
567C4⋊C4—2442no—
568C4⋊C4—2442no—
569C4⋊C4—2442no—
570C4⋊C4C2×C4×D6112yes—
571C4⋊C4D4×D6112yes—
572C22⋊C4—42no—
573C22⋊C4—4881no—
574C22⋊C4—4881no—
575C22⋊C4—2442no—
576C22⋊C4—2442no—
577C22⋊C4—2442no—
578C42—21no—
579C42—21no—
580C42—612no—
581C42—612no—
582C42—1224no—
583C42—1221no—
584C42—1221no—
585C42—2442no—
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—614no—
604Q8—1222no—
605Q8—1222no—
606Q8—1222no—
607D4—22no—
608D4—22no—
609D4—41no—
610D4—41no—
611D4—1222no—
612D4—1222no—
613D4—4884no—
614D4—2448no—
615D4—2441no—
616D4—2441no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—41no—
625C2×C4—41no—
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—1222no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—1222no—
643C2×C4—1222no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—4884no—
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×C4#41×D6111yescharacteristic
659C2×C4#1451982211yescharacteristic
660C2×C4#1451982511yescharacteristic
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#1684042211yescharacteristic
682C22C2×SD16×D6111yescharacteristic
683C22#135×D6111yescharacteristic
684C22#1684056611yescharacteristic
685C22#1684057211yescharacteristic
686C4—22no—
687C4—42no—
688C4—42no—
689C4—41no—
690C4—81no—
691C4—614no—
692C4—1222no—
693C4—1222no—
694C4—1224no—
695C4—4881no—
696C4—4881no—
697C4—2441no—
698C4C4×D4×D6111yescharacteristic
699C4#1684024311yescharacteristic
700C4#1684041411yescharacteristic
701C4#1684045711yescharacteristic
702C2—82no—
703C2—4882no—
704C2#2144883811yescharacteristic
705C2C4×SD16×D6111yescharacteristic
706C2#2145464811yescharacteristic
707C2#2145751311yescharacteristic
708C2#2145757211yescharacteristic
709C2#2145848911yescharacteristic
710C2#2145851811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1864C2
socleC23×C61C22×D4
prime radicalC2×#14519773C22
cosocleC22×C4×C61C24
hypercenter#1864D61
hypocenterC61#22997
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1864

Complements

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

NH ≅ G/Ntype
2. C2×#16839849C2semidirect
3. C2×C4×#11758200C2semidirect
5. #21448733C2semidirect
7. #21446579C2semidirect
8. #21446504C2semidirect
9. #21446501C2semidirect
10. #21446173C2semidirect
11. #21446171C2semidirect
12. #21446081C2semidirect
13. #21445680C2semidirect
14. #21445638C2semidirect
15. C61×#1864C2semidirect
24. #16839961C4semidirect
69. C2×#11758190C2×C4semidirect
72. C2×#11758200C2×C4semidirect
82. #14519742C2×C4semidirect
108. #14519706C2×C4semidirect
110. #14519700D4semidirect
114. #14519697C2×C4semidirect
136. #102×C61C2×C4semidirect
216. #11758196SD16semidirect
304. Dic122C4×D4semidirect
346. Dic61C4×SD16semidirect
359. #1864D61semidirect
417. C61#22997semidirect
485. #102C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399612
C2×#168398492
C2×C4×#117582002
#214488812
#214487332
#214466232
#214465792
#214465042
#214465012
#214461732
#214461712
#214460812
#214456802
#214456382
C61×#18642
#2299761