Finite Group Databasebeta

← #29680757

Subgroups — #29680757

Order 15616.

1630 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#117×D61C211yesmaximal, characteristic
2C2×#16839802C211yesmaximal, characteristic, complemented
3C2×#16839725C211yesmaximal, characteristic
4C2×#16839619C211yesmaximal, characteristic
5#21446017C212yesmaximal, complemented
6#21446015C212yesmaximal, complemented
7#21446010C212yesmaximal, complemented
8#21446005C212yesmaximal, complemented
9#21445540C211yesmaximal, characteristic, complemented
10#21445539C211yesmaximal, characteristic, complemented
11C2×C61×#428C211yesmaximal, characteristic, complemented
12C23×C4×D61C2211yescharacteristic
13C22×#11758194C2211yescharacteristic
14C2×#14519736C2211yescharacteristic
15C2×#14519735C2211yescharacteristic
16C2×#14519735C2211yescharacteristic
17C2×#14519734—21no—
18C2×#14519733—21no—
19#117×D61—24no—
20#117×D61—24no—
21C22×C4⋊Dic61C2211yescharacteristic
22C2×C4⋊C4×D61C2211yescharacteristic
23C2×C4⋊C4×D61C2211yescharacteristic
24C22×#11758198—21no—
25C2×C22⋊C4×D61—21no—
26C2×C42×D61—21no—
27#16839802—24no—
28C2×#14519710C2212yescomplemented
29C2×#14519708C2212yescomplemented
30#16839725C418yescomplemented
31C2×#14519689C2212yes—
32C2×#14519689C2212yes—
33#16839619—21no—
34#16839619—21no—
35#16839619C2212yes—
36#16839619C2212yes—
37C2×#14519684—21no—
38#16839525C2212yescomplemented
39#16839525C2212yescomplemented
40#16839524C2212yescomplemented
41#16839524C2212yescomplemented
42C22×M16×C61C2211yescharacteristic
43C2×#117×C61C2211yescharacteristic
44C22×C4⋊C4×C61C2211yescharacteristic
45C61×#428—24no—
46C2×#107×C61C2212yescomplemented
47C2×#106×C61C2212yescomplemented
48C24×D61D411yescharacteristic
49C23×Dic61—21no—
50C23×Dic61D411yescharacteristic
51C22×C4×D61—22no—
52C22×C4×D61—22no—
53C22×C4×D61—22no—
54C22×C4×D61—22no—
55C22×C4×D61—21no—
56C22×C4×D61—21no—
57C22×C4×D61C2×C414yes—
58C22×C4×D61D411yescharacteristic
59C22×C4×D61D411yescharacteristic
60C22×C4×D61Q814yes—
61C22×C4×D61C2311yescharacteristic
62C22×C4×D61C2311yescharacteristic
63C2×#11758194—22no—
64C2×#11758194—22no—
65C2×#11758194C2×C414yescomplemented
66C22×#92418C2312yes—
67#14519736—22no—
68#14519736D414yes—
69#14519735—22no—
70#14519735—22no—
71#14519735—22no—
72#14519735—22no—
73#14519734—28no—
74#14519733—28no—
75C2×C4⋊Dic61—22no—
76C2×C4⋊Dic61—22no—
77C2×C4⋊Dic61—21no—
78C2×C4⋊Dic61C2312yes—
79C2×C4⋊Dic61C2311yescharacteristic
80C2×C4⋊Dic61C2311yescharacteristic
81C2×#11758196—21no—
82C2×#11758196—21no—
83C4⋊C4×D61—22no—
84C4⋊C4×D61—22no—
85C4⋊C4×D61—22no—
86C4⋊C4×D61—22no—
87C2×C22⋊Dic61—21no—
88C2×#11758198—21no—
89C2×#11758198—21no—
90C2×#11758198—22no—
91C2×#11758198—22no—
92C2×#11758198—44no—
93C22⋊C4×D61—28no—
94C2×C4×Dic61—21no—
95C2×C4×Dic61—21no—
96C2×C4×Dic61—21no—
97C42×D61—28no—
98#14519710—24no—
99#14519708—24no—
100#14519689C2×C418yescomplemented
101#14519689C2×C418yescomplemented
102#14519684—22no—
103#14519684—22no—
104C23×C4×C61—21no—
105C23×C4×C61C2311yescharacteristic
106C2×M16×C61—22no—
107C2×M16×C61—22no—
108C2×M16×C61C2×C414yescomplemented
109C22×C8×C61C2312yes—
110#117×C61—22no—
111#117×C61D414yes—
112C2×C4⋊C4×C61—22no—
113C2×C4⋊C4×C61—22no—
114C2×C4⋊C4×C61—21no—
115C2×C4⋊C4×C61C2312yes—
116C2×C4⋊C4×C61C2311yescharacteristic
117C2×C4⋊C4×C61C2311yescharacteristic
118C2×C22⋊C4×C61—21no—
119C2×C42×C61—21no—
120#107×C61—24no—
121#106×C61—24no—
122C24×C61C2×D411yescharacteristic
123C23×D61—22no—
124C23×D61—22no—
125C23×D61—22no—
126C23×D61—22no—
127C23×D61—41no—
128C23×D61—41no—
129C23×D61C4⋊C414yes—
130C23×D61C2×D411yescharacteristic
131C23×D61C2×D411yescharacteristic
132C22×C4×C61—21no—
133C22×C4×C61—21no—
134C22×C4×C61—22no—
135C22×C4×C61—42no—
136C22×C4×C61—42no—
137C22×C4×C61—42no—
138C22×C4×C61C22×C412yes—
139C22×C4×C61C2×D411yescharacteristic
140C22×C4×C61C2×D412yes—
141C22×C4×C61C2×D412yes—
142C22×C4×C61C2×Q812yes—
143C22×C4×C61#4112yes—
144C22×C4×C61#4112yes—
145C22×C4×C61C2411yescharacteristic
146C22×Dic61—22no—
147C22×Dic61—22no—
148C22×Dic61—21no—
149C22×Dic61—21no—
150C22×Dic61—22no—
151C22×Dic61—42no—
152C22×Dic61—42no—
153C22×Dic61—42no—
154C22×Dic61C4⋊C414yes—
155C22×Dic61C2×D411yescharacteristic
156C22×Dic61C2×D411yescharacteristic
157C2×C4×D61—28no—
158C2×C4×D61—28no—
159C2×C4×D61—22no—
160C2×C4×D61—22no—
161C2×C4×D61—28no—
162C2×C4×D61—28no—
163C2×C4×D61—22no—
164C2×C4×D61—22no—
165C2×C4×D61—21no—
166C2×C4×D61—21no—
167C2×C4×D61—21no—
168C2×C4×D61—21no—
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—24no—
174C2×C4×D61—24no—
175C2×C4×D61—42no—
176C2×C4×D61—42no—
177C2×C4×D61—42no—
178C2×C4×D61—42no—
179C2×C4×D61C4⋊C414yes—
180C2×C4×D61C4⋊C414yes—
181C2×C4×D61C22×C412yes—
182C2×C4×D61C22×C412yes—
183C2×C4×D61C2×Q812yes—
184C2×C4×D61C2×Q812yes—
185M16×C61—28no—
186C2×C8×C61—22no—
187C2×C8×C61—22no—
188C2×C8×C61C22×C414yes—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—22no—
192C4⋊C4×C61—22no—
193C4⋊C4×C61—42no—
194C4⋊C4×C61C2×D412yes—
195C4⋊C4×C61C2×D412yes—
196C22⋊C4×C61—24no—
197C42×C61—24no—
198C22⋊Dic61—24no—
199#11758198—24no—
200#11758198—24no—
201#11758198—44no—
202#11758198—44no—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205C4⋊Dic61—22no—
206C4⋊Dic61—22no—
207C4⋊Dic61—42no—
208C4⋊Dic61C2×D412yes—
209C4⋊Dic61C2×D412yes—
210#11758196—24no—
211#11758196—24no—
212C4×Dic61—24no—
213C4×Dic61—24no—
214C4×Dic61—24no—
215#11758194—28no—
216C2×#92418—22no—
217C2×#92418—22no—
218C2×#92418C22×C414yes—
219C23×C61—21no—
220C23×C61—21no—
221C23×C61—21no—
222C23×C61—21no—
223C23×C61C2×C4⋊C412yes—
224C23×C61#12012yes—
225C23×C61#12312yes—
226C23×C61C22×D411yescharacteristic
227C22×D61—21no—
228C22×D61—21no—
229C22×D61—21no—
230C22×D61—21no—
231C22×D61—21no—
232C22×D61—21no—
233C22×D61—21no—
234C22×D61—21no—
235C22×D61—21no—
236C22×D61—21no—
237C22×D61—28no—
238C22×D61—28no—
239C22×D61—44no—
240C22×D61—44no—
241C22×D61—44no—
242C22×D61—44no—
243C22×D61—44no—
244C22×D61C2×C4⋊C412yes—
245C22×D61C2×C4⋊C412yes—
246C22×D61AGL(1,ℤ/8)12yes—
247C22×D61#13712yes—
248C2×C4×C61—22no—
249C2×C4×C61—22no—
250C2×C4×C61—41no—
251C2×C4×C61—41no—
252C2×C4×C61—41no—
253C2×C4×C61—41no—
254C2×C4×C61—42no—
255C2×C4×C61—42no—
256C2×C4×C61—42no—
257C2×C4×C61—84no—
258C2×C4×C61C2×C4⋊C412yes—
259C2×C4×C61C4×D414yes—
260C2×C4×C61C4×D414yes—
261C2×C4×C61#12012yes—
262C2×C4×C61C22⋊Q814yes—
263C2×C4×C61C22⋊Q814yes—
264C2×C4×C61#12312yes—
265C2×C4×C61C23×C411yescharacteristic
266C2×C4×C61C22×D411yescharacteristic
267C2×C4×C61C22×D411yescharacteristic
268C2×C4×C61C22×Q811yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×Dic61—21no—
272C2×Dic61—21no—
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—28no—
276C2×Dic61—22no—
277C2×Dic61—22no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—42no—
283C2×Dic61—42no—
284C2×Dic61—42no—
285C2×Dic61—84no—
286C2×Dic61C2×C4⋊C412yes—
287C2×Dic61C2×C4⋊C412yes—
288C4×D61—22no—
289C4×D61—22no—
290C4×D61—22no—
291C4×D61—22no—
292C4×D61—22no—
293C4×D61—22no—
294C4×D61—22no—
295C4×D61—22no—
296C4×D61—28no—
297C4×D61—28no—
298C4×D61—48no—
299C4×D61—48no—
300C8×C61—24no—
301#92418—24no—
302#20846—611nomaximal, Sylow
303C22×C61—22no—
304C22×C61—22no—
305C22×C61—22no—
306C22×C61—22no—
307C22×C61—22no—
308C22×C61—22no—
309C22×C61#38514yes—
310C22×C61C22×C4⋊C411yescharacteristic
311C22×C61C2×#12011yescharacteristic
312C22×C61C2×#12311yescharacteristic
313C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C61C2×#13711yescharacteristic
315C22×C61#57511yescharacteristic
316C22×C61#57511yescharacteristic
317C2×D61—22no—
318C2×D61—22no—
319C2×D61—22no—
320C2×D61—22no—
321C2×D61—22no—
322C2×D61—22no—
323C2×D61—22no—
324C2×D61—22no—
325C2×D61—22no—
326C2×D61—416no—
327C2×D61—41no—
328C2×D61—41no—
329C2×D61—41no—
330C2×D61—41no—
331C2×D61#42814yescomplemented
332C4×C61—42no—
333C4×C61—42no—
334C4×C61—82no—
335C4×C61#38514yes—
336C4×C61C2×C4×D411yescharacteristic
337C4×C61C2×C4×D411yescharacteristic
338C4×C61C2×C22⋊Q811yescharacteristic
339C4×C61C2×C22⋊Q811yescharacteristic
340Dic61—22no—
341Dic61—22no—
342Dic61—42no—
343Dic61—42no—
344Dic61—82no—
345C22×#117—611no—
346C2×#428—611no—
347C2×#428D6111yescharacteristic, complemented
348C2×#407—611no—
349C2×#380—611no—
350#1854—612no—
351#1854—612no—
352#1853—612no—
353#1852—612no—
354#1736—611no—
355#1736—611no—
356C2×C61—24no—
357C2×C61C2×#38511yescharacteristic
358C2×C61C2×#42811yescharacteristic
359C2×C61#291111yescharacteristic
360C2×C61#300611yescharacteristic
361C2×C61#300711yescharacteristic
362C2×C61#309411yescharacteristic
363C2×C61#309511yescharacteristic
364D61—24no—
365D61—42no—
366C24×C4—611no—
367C22×M16—611no—
368C22×M16C2×D6111yescharacteristic
369C2×#117—611no—
370C2×#117—611no—
371C2×#117—611no—
372C2×#117—1221no—
373C2×#117—1221no—
374C2×#117—1224no—
375C2×#117—1224no—
376C2×#117C2×D6111yescharacteristic
377C22×C4⋊C4—611no—
378C22×C4⋊C4—611no—
379C22×C4⋊C4—611no—
380C22×C4⋊C4C2×D6111yescharacteristic
381C22×C22⋊C4—1221no—
382C22×C22⋊C4—1221no—
383C22×C42—1221no—
384#428—24no—
385#428—1224no—
386C2×#107—612no—
387C2×#107C2×D6112yescomplemented
388C2×#106—612no—
389C2×#106C2×D6112yescomplemented
390#407—618no—
391C2×C22⋊C8—612no—
392C2×C22⋊C8—612no—
393#380—612no—
394#380—612no—
395#380—1221no—
396#380—1221no—
397C2×#95—1221no—
398#340—612no—
399#340—612no—
400#340—612no—
401#340—612no—
402C61#2084611yescharacteristic, complemented, Sylow
403C25—611no—
404C23×C4—21no—
405C23×C4—611no—
406C23×C4—614no—
407C23×C4—611no—
408C23×C4—611no—
409C23×C4—614no—
410C23×C4—611no—
411C23×C4—611no—
412C23×C4—1221no—
413C23×C4—1221no—
414C23×C4—1222no—
415C23×C4—1222no—
416C23×C4—1222no—
417C23×C4—1222no—
418C23×C4—1221no—
419C23×C4C22×D6111yescharacteristic
420C2×M16—22no—
421C2×M16—22no—
422C2×M16—614no—
423C2×M16—1222no—
424C2×M16—1222no—
425C2×M16C4×D6114yescomplemented
426C22×C8—612no—
427C22×C8C22×D6112yes—
428#117—22no—
429#117—614no—
430#117—1228no—
431#117—1228no—
432#117—1222no—
433#117—1222no—
434#117—1222no—
435#117—1222no—
436#117—1222no—
437#117C22⋊D6114yes—
438C2×C4⋊C4—22no—
439C2×C4⋊C4—22no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—611no—
442C2×C4⋊C4—611no—
443C2×C4⋊C4—612no—
444C2×C4⋊C4—1222no—
445C2×C4⋊C4—1222no—
446C2×C4⋊C4—1221no—
447C2×C4⋊C4—1221no—
448C2×C4⋊C4—1222no—
449C2×C4⋊C4—1222no—
450C2×C4⋊C4—1222no—
451C2×C4⋊C4—1222no—
452C2×C4⋊C4—1221no—
453C2×C4⋊C4C22×D6112yes—
454C2×C4⋊C4C22×D6111yescharacteristic
455C2×C4⋊C4C22×D6111yescharacteristic
456C2×C22⋊C4—21no—
457C2×C22⋊C4—1228no—
458C2×C22⋊C4—1221no—
459C2×C22⋊C4—1221no—
460C2×C22⋊C4—1221no—
461C2×C22⋊C4—1222no—
462C2×C22⋊C4—1222no—
463C2×C22⋊C4—2444no—
464C2×C42—21no—
465C2×C42—1228no—
466C2×C42—1221no—
467C2×C42—1221no—
468C2×C42—1221no—
469#107—24no—
470#107—1224no—
471#106—24no—
472#106—1224no—
473C22⋊C8—618no—
474C22⋊C8—618no—
475#95—1222no—
476#95—1222no—
477C24—611no—
478C24—611no—
479C24—614no—
480C24—1222no—
481C24—1222no—
482C24—1222no—
483C24—1222no—
484C24—2441no—
485C24—2441no—
486C24D4×D6111yescharacteristic
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—611no—
494C22×C4—611no—
495C22×C4—614no—
496C22×C4—612no—
497C22×C4—612no—
498C22×C4—612no—
499C22×C4—612no—
500C22×C4—614no—
501C22×C4—614no—
502C22×C4—1224no—
503C22×C4—1224no—
504C22×C4—1222no—
505C22×C4—1222no—
506C22×C4—1221no—
507C22×C4—1221no—
508C22×C4—1221no—
509C22×C4—1221no—
510C22×C4—1221no—
511C22×C4—1221no—
512C22×C4—1221no—
513C22×C4—1221no—
514C22×C4—1228no—
515C22×C4—1228no—
516C22×C4—1222no—
517C22×C4—1222no—
518C22×C4—1228no—
519C22×C4—1228no—
520C22×C4—1222no—
521C22×C4—1222no—
522C22×C4—1221no—
523C22×C4—1221no—
524C22×C4—1222no—
525C22×C4—2442no—
526C22×C4—2442no—
527C22×C4—2442no—
528C22×C4—2442no—
529C22×C4—2442no—
530C22×C4—2442no—
531C22×C4—2442no—
532C22×C4C2×C4×D6112yes—
533C22×C4#1175822212yes—
534C22×C4D4×D6112yes—
535C22×C4D4×D6111yescharacteristic
536C22×C4Q8×D6112yes—
537C22×C4#1175822612yes—
538C22×C4C2×C22⋊D6112yes—
539C22×C4C23×D6111yescharacteristic
540M16—28no—
541M16—1228no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—614no—
545C2×C8—1222no—
546C2×C8—1222no—
547C2×C8C2×C4×D6114yes—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—42no—
553C4⋊C4—612no—
554C4⋊C4—612no—
555C4⋊C4—1224no—
556C4⋊C4—1224no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4—1222no—
560C4⋊C4—1222no—
561C4⋊C4—2442no—
562C4⋊C4C2×C22⋊D6112yes—
563C4⋊C4C2×C22⋊D6112yes—
564C22⋊C4—24no—
565C22⋊C4—1224no—
566C22⋊C4—1224no—
567C22⋊C4—1224no—
568C22⋊C4—2444no—
569C22⋊C4—2444no—
570C42—24no—
571C42—1224no—
572C42—1224no—
573C42—1224no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—612no—
579C23—612no—
580C23—612no—
581C23—612no—
582C23—1228no—
583C23—1221no—
584C23—1221no—
585C23—1221no—
586C23—1221no—
587C23—1221no—
588C23—1221no—
589C23—1221no—
590C23—1221no—
591C23—1221no—
592C23—1221no—
593C23—1228no—
594C23—2444no—
595C23—2444no—
596C23—2444no—
597C23—2444no—
598C23—2444no—
599C23C4⋊C4×D6112yes—
600C23#1451974512yes—
601C23#1451976212yes—
602C23C2×D4×D6111yescharacteristic
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—84no—
613C2×C4—612no—
614C2×C4—612no—
615C2×C4—1221no—
616C2×C4—1221no—
617C2×C4—1221no—
618C2×C4—1221no—
619C2×C4—1228no—
620C2×C4—1222no—
621C2×C4—1222no—
622C2×C4—1222no—
623C2×C4—1222no—
624C2×C4—1222no—
625C2×C4—1222no—
626C2×C4—1222no—
627C2×C4—1222no—
628C2×C4—1228no—
629C2×C4—1228no—
630C2×C4—1222no—
631C2×C4—1222no—
632C2×C4—4884no—
633C2×C4—2448no—
634C2×C4—2448no—
635C2×C4—2442no—
636C2×C4—2442no—
637C2×C4—2442no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4C4⋊C4×D6112yes—
643C2×C4C4×C22⋊D6114yes—
644C2×C4#1451973914yes—
645C2×C4#1451974512yes—
646C2×C4#1451975314yes—
647C2×C4#1451975514yes—
648C2×C4#1451976212yes—
649C2×C4C22×C4×D6111yescharacteristic
650C2×C4C2×D4×D6111yescharacteristic
651C2×C4C22×C22⋊D6111yescharacteristic
652C2×C4C2×Q8×D6111yescharacteristic
653C2×C4C2×#1175822211yescharacteristic
654C2×C4C2×#1175822611yescharacteristic
655C8—24no—
656C8—1224no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—614no—
664C22—1222no—
665C22—1222no—
666C22—1222no—
667C22—1222no—
668C22—1222no—
669C22—1222no—
670C22—1222no—
671C22—1222no—
672C22—1222no—
673C22—24416no—
674C22—2441no—
675C22—2441no—
676C22—2441no—
677C22—2441no—
678C22#1683963314yes—
679C22C2×C4⋊C4×D6111yescharacteristic
680C22C2×#1451974511yescharacteristic
681C22C2×#1451976211yescharacteristic
682C22AGL(1,ℤ/8)×D6111yescharacteristic
683C22#137×D6111yescharacteristic
684C22#1684055811yescharacteristic
685C22#1684056111yescharacteristic
686C4—42no—
687C4—42no—
688C4—82no—
689C4—1222no—
690C4—1222no—
691C4—4882no—
692C4—2442no—
693C4—2442no—
694C4#1683963314yes—
695C4C2×C4×C22⋊D6111yescharacteristic
696C4C2×#1451973911yescharacteristic
697C4C2×#1451975311yescharacteristic
698C4C2×#1451975511yescharacteristic
699C2—24no—
700C2—1224no—
701C2—2442no—
702C2C2×#1683963311yescharacteristic
703C2#428×D6111yescharacteristic
704C2#2145440611yescharacteristic
705C2#2145506711yescharacteristic
706C2#2145507511yescharacteristic
707C2#2145576111yescharacteristic
708C2#2145576911yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#428C2
socleC23×C61C22×D4
prime radicalC24×D61D4
cosocleC22×C4×C61C24
hypercenterC2×#428D61
hypocenterC61#20846
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#16839802C2semidirect
5. #21446017C2semidirect
6. #21446015C2semidirect
7. #21446010C2semidirect
8. #21446005C2semidirect
9. #21445540C2semidirect
10. #21445539C2semidirect
11. C2×C61×#428C2semidirect
28. C2×#14519710C22semidirect
29. C2×#14519708C22semidirect
30. #16839725C4semidirect
38. #16839525C22semidirect
39. #16839525C22semidirect
40. #16839524C22semidirect
41. #16839524C22semidirect
46. C2×#107×C61C22semidirect
47. C2×#106×C61C22semidirect
65. C2×#11758194C2×C4semidirect
100. #14519689C2×C4semidirect
101. #14519689C2×C4semidirect
108. C2×M16×C61C2×C4semidirect
331. C2×D61#428semidirect
347. C2×#428D61semidirect
387. C2×#107C2×D61semidirect
389. C2×#106C2×D61semidirect
402. C61#20846semidirect
425. C2×M16C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#117×D612
C2×#168398022
C2×#168397252
C2×#168396192
#214460172
#214460152
#214460102
#214460052
#214455402
#214455392
C2×C61×#4282
#2084661