Finite Group Databasebeta

← C2×#10612931 #12977985

Subgroups — C2×#10612931 #12977985

Order 1280.

1898 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66028C211yesmaximal, characteristic, complemented
2C2×#65892C211yesmaximal, characteristic
3C2×C5×#478C211yesmaximal, characteristic, complemented
4C2×#65353C211yesmaximal, characteristic, complemented
5C2×C4×#687C211yesmaximal, characteristic, complemented
6#10612931C2116yesmaximal, direct product factor
7C2×#65177C211yesmaximal, characteristic, complemented
8C2×#65170C211yesmaximal, characteristic, complemented
9C2×#65151C211yesmaximal, characteristic, complemented
10C2×#65150C211yesmaximal, characteristic, complemented
11C2×#65118C211yesmaximal, characteristic, complemented
12C2×#65127C211yesmaximal, characteristic, complemented
13C2×#65066C211yesmaximal, characteristic, complemented
14C2×#65073C211yesmaximal, characteristic, complemented
15C2×#65069C211yesmaximal, characteristic, complemented
16C2×#65069C211yesmaximal, characteristic, complemented
17C2×C5×#125C2211yescharacteristic
18C2×C4×C5×D4C2211yescharacteristic
19C2×#4084C2211yescharacteristic
20C2×#4084C2211yescharacteristic
21C22×#687C2211yescharacteristic
22C2×#4075—21no—
23C2×C4×C22⋊D5—21no—
24C22×#676C2211yescharacteristic
25C22×#676C2211yescharacteristic
26#66028—24no—
27#66028C2218yescomplemented
28#65892—24no—
29#65892C2218yes—
30C2×#4044—21no—
31C2×#4043C2211yescharacteristic
32C2×#4043C2211yescharacteristic
33C2×#4040—21no—
34C2×#4038—21no—
35C2×#4038C2211yescharacteristic
36C2×#4038C2211yescharacteristic
37C2×D5×C4⋊C4C2211yescharacteristic
38C2×D5×C4⋊C4C2211yescharacteristic
39C2×#4036—21no—
40C2×#4030—21no—
41C2×#4025—21no—
42C2×C4×D20C2211yescharacteristic
43C2×#4016C2211yescharacteristic
44C2×C4×Dic10C2211yescharacteristic
45C5×#478C2218yescomplemented
46C2×C5×#107C2211yescharacteristic
47C2×C5×#106C2211yescharacteristic
48C2×C5×C4⋊C8C2211yescharacteristic
49C2×C5×#102C2211yescharacteristic
50C2×C5×#102C2211yescharacteristic
51C2×#3964C2211yescharacteristic
52C2×#3952C2211yescharacteristic
53C2×#3952C2211yescharacteristic
54C2×#3950C2211yescharacteristic
55C2×#3949C2211yescharacteristic
56C2×#3948C2211yescharacteristic
57C2×#3948C2211yescharacteristic
58#65353C2218yescomplemented
59C4×#687C2218yescomplemented
60C2×#3942C2211yescharacteristic
61C2×#3940C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3940C2211yescharacteristic
64C2×#3939C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×C4×#168C2211yescharacteristic
67#65177C2218yescomplemented
68#65170C2218yescomplemented
69#65151C2218yescomplemented
70#65150C2218yescomplemented
71#65127C2218yescomplemented
72#65118C2218yescomplemented
73#65073C2218yescomplemented
74#65069C2218yescomplemented
75#65069C2218yescomplemented
76#65066C2218yescomplemented
77C2×#3351—51nomaximal, Sylow
78C22×C5×D4C2311yescharacteristic
79C23×C4×C5—21no—
80C22×C22⋊D5—21no—
81C22×C22⋊D5—21no—
82C22×D20D411yescharacteristic
83C22×C4×D5—21no—
84C22×C4×D5—21no—
85C22×C4×D5C2311yescharacteristic
86C22×C4×D5C2311yescharacteristic
87C22×Dic10C2311yescharacteristic
88C22×C5×C8C2311yescharacteristic
89C22×C5×C8C2311yescharacteristic
90C5×#125—22no—
91C5×#125C2314yes—
92C4×C5×D4—22no—
93C4×C5×D4C2314yes—
94C2×C5×C4⋊C4—21no—
95C2×C5×C4⋊C4—21no—
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C22⋊C4—21no—
100C2×C42×C5C2311yescharacteristic
101C2×C22⋊Dic5—21no—
102C2×C22⋊Dic5—21no—
103#4084—22no—
104#4084—22no—
105#4084C2314yes—
106#4084C2314yes—
107C2×#687—24no—
108C2×#687C2314yes—
109#4075—28no—
110C4×C22⋊D5—28no—
111C2×#685—21no—
112C2×#685—21no—
113C2×#685—21no—
114C2×#685—21no—
115C2×#685D411yescharacteristic
116C2×#685D411yescharacteristic
117C2×C4⋊Dic5—21no—
118C2×C4⋊Dic5—21no—
119C2×C4⋊Dic5D411yescharacteristic
120C2×C4⋊Dic5C2311yescharacteristic
121C2×C4⋊Dic5C2311yescharacteristic
122C2×C4⋊Dic5C2311yescharacteristic
123C2×#683—21no—
124C2×#683—21no—
125C2×#683—21no—
126C2×#683—21no—
127C2×#683—21no—
128C2×C4×Dic5—21no—
129C2×C4×Dic5—21no—
130C2×C4×Dic5—21no—
131C22×#168C2311yescharacteristic
132C22×#168C2311yescharacteristic
133C2×#676—24no—
134C2×#676—24no—
135C2×#676C2314yes—
136C2×#676C2314yes—
137#4044—28no—
138#4043—22no—
139#4043—22no—
140#4043C2314yes—
141#4043C2314yes—
142#4040—28no—
143#4038—22no—
144#4038—22no—
145#4038—28no—
146#4038C2314yes—
147#4038C2314yes—
148D5×C4⋊C4—22no—
149D5×C4⋊C4—22no—
150D5×C4⋊C4C2314yes—
151D5×C4⋊C4C2314yes—
152#4036—28no—
153#4030—28no—
154#4025—28no—
155C4×D20D414yes—
156C4×D20C2314yes—
157#4016—22no—
158#4016C2314yes—
159C4×Dic10—22no—
160C4×Dic10C2314yes—
161C5×#107C2314yes—
162C5×#106C2314yes—
163C5×C4⋊C8C2314yes—
164C5×#102C2314yes—
165C5×#102C2314yes—
166#3964C2314yes—
167#3952C2314yes—
168#3952C2314yes—
169#3950C2314yes—
170#3949C2314yes—
171#3948C2314yes—
172#3948C2314yes—
173#3942C2314yes—
174#3940C2314yes—
175#3940C2314yes—
176#3940C2314yes—
177#3939C2314yes—
178#3939C2314yes—
179C4×#168C2314yes—
180C2×#553—51no—
181C2×#552—51no—
182#3351—516no—
183C2×#499—51no—
184C2×#481—51no—
185C2×#485—51no—
186C2×#482—51no—
187C2×#483—51no—
188C2×#479—51no—
189C2×#478D511yescharacteristic, complemented
190C2×#468—51no—
191C2×#468—51no—
192C2×C4×SD16—51no—
193C2×#436—51no—
194C2×#428—51no—
195C2×#428—51no—
196C24×C5—21no—
197C23×D5C2×D411yescharacteristic
198C23×D5C2×D411yescharacteristic
199C2×C5×D4—21no—
200C2×C5×D4—22no—
201C2×C5×D4—22no—
202C2×C5×D4C2412yes—
203C22×C4×C5—21no—
204C22×C4×C5—21no—
205C22×C4×C5—21no—
206C22×C4×C5—24no—
207C22×C4×C5—82no—
208C22×C4×C5C2×D411yescharacteristic
209C22×C4×C5C2×D411yescharacteristic
210C22×C4×C5C2411yescharacteristic
211C2×C22⋊D5—24no—
212C2×C22⋊D5—24no—
213C2×C22⋊D5—44no—
214C2×C22⋊D5—82no—
215C22×Dic5—21no—
216C22×Dic5—21no—
217C22×Dic5—21no—
218C22×Dic5—21no—
219C22×Dic5C2×D411yescharacteristic
220C22×Dic5C2×D411yescharacteristic
221C2×D20—42no—
222C2×D20C2×D414yes—
223C2×C4×D5—22no—
224C2×C4×D5—22no—
225C2×C4×D5—22no—
226C2×C4×D5—22no—
227C2×C4×D5—24no—
228C2×C4×D5—24no—
229C2×C4×D5—44no—
230C2×C4×D5—82no—
231C2×C4×D5C2×D412yes—
232C2×C4×D5C2×D412yes—
233C2×C4×D5C2412yes—
234C2×C4×D5C2412yes—
235C2×Dic10—22no—
236C2×Dic10—22no—
237C2×Dic10—21no—
238C2×Dic10C2412yes—
239C2×C5×C8—22no—
240C2×C5×C8—22no—
241C2×C5×C8C2412yes—
242C2×C5×C8C2412yes—
243C5×C4⋊C4—24no—
244C5×C4⋊C4—24no—
245C5×C4⋊C4—21no—
246C5×C4⋊C4—21no—
247C5×C4⋊C4—21no—
248C5×C4⋊C4C2412yes—
249C5×C4⋊C4C2412yes—
250C5×C4⋊C4C2412yes—
251C5×C22⋊C4—24no—
252C42×C5C2×D412yes—
253C42×C5C2412yes—
254C22⋊Dic5—24no—
255C22⋊Dic5—24no—
256#687—28no—
257#685—24no—
258#685—24no—
259#685—24no—
260#685—24no—
261#685C2×D414yes—
262#685C2×D414yes—
263C4⋊Dic5—21no—
264C4⋊Dic5—21no—
265C4⋊Dic5—21no—
266C4⋊Dic5—24no—
267C4⋊Dic5—24no—
268C4⋊Dic5C2×D414yes—
269C4⋊Dic5C2412yes—
270C4⋊Dic5C2412yes—
271C4⋊Dic5C2412yes—
272#683—24no—
273#683—24no—
274#683—24no—
275#683—24no—
276#683—24no—
277C4×Dic5—24no—
278C4×Dic5—24no—
279C4×Dic5—24no—
280C2×#168—22no—
281C2×#168#4114yes—
282C2×#168C2412yes—
283C2×#168C2412yes—
284#676—28no—
285#676—28no—
286C22×SD16—51no—
287C22×M16—51no—
288C22×M16—51no—
289#553—58no—
290#553—104no—
291#552—58no—
292#552—104no—
293C2×#126—101no—
294C2×#126—101no—
295C2×#125—51no—
296C2×#125—101no—
297C2×#125C2×D511yescharacteristic
298C2×#123—101no—
299C2×#123—101no—
300C2×C22⋊Q8—51no—
301C2×C22⋊Q8—51no—
302C2×#121—51no—
303C2×#121—51no—
304C2×#121—101no—
305C2×C4×Q8—51no—
306C2×C4×D4—51no—
307C2×C4×D4—101no—
308C2×C4×D4C2×D511yescharacteristic
309C2×#117—51no—
310C2×#117—51no—
311C2×#117—101no—
312C22×C4⋊C4—51no—
313C22×C4⋊C4—51no—
314#499—58no—
315#485—58no—
316#483—58no—
317#482—58no—
318#481—58no—
319#479—58no—
320#478C2×D518yescomplemented
321#468—58no—
322#468—58no—
323C4×SD16—58no—
324#436—58no—
325#428—58no—
326#428—58no—
327C2×#107—51no—
328C2×#107—51no—
329C2×#107—51no—
330C2×#107C2×D511yescharacteristic
331C2×#106—51no—
332C2×#106—51no—
333C2×#106—51no—
334C2×#106—51no—
335C2×#106C2×D511yescharacteristic
336C2×C4⋊C8C2×D511yescharacteristic
337C2×#103—51no—
338C2×#103—51no—
339C2×#103—51no—
340C2×#102—51no—
341C2×#102C2×D511yescharacteristic
342C2×#102C2×D511yescharacteristic
343C2×C22⋊C8—51no—
344C2×C22⋊C8—51no—
345C2×C4×C8—51no—
346C23×C5—22no—
347C23×C5—42no—
348C23×C5—42no—
349C23×C5—42no—
350C23×C5C22×D411yescharacteristic
351C22×D5—22no—
352C22×D5—22no—
353C22×D5—22no—
354C22×D5—22no—
355C22×D5—22no—
356C22×D5—22no—
357C22×D5C22×D412yes—
358C22×D5C22×D412yes—
359C5×D4—22no—
360C5×D4—22no—
361C5×D4—42no—
362C2×C4×C5—22no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—42no—
368C2×C4×C5—42no—
369C2×C4×C5—42no—
370C2×C4×C5—84no—
371C2×C4×C5C22×D412yes—
372C2×C4×C5C22×D412yes—
373C2×C4×C5C22×D411yescharacteristic
374C2×C4×C5C2×#4112yes—
375C2×C4×C52−1+412yes—
376C2×C4×C5C2511yescharacteristic
377C22⋊D5—48no—
378C22⋊D5—84no—
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—42no—
386C2×Dic5—42no—
387C2×Dic5—42no—
388C2×Dic5—42no—
389C2×Dic5C22×D412yes—
390C2×Dic5C22×D412yes—
391D20—44no—
392C4×D5—24no—
393C4×D5—24no—
394C4×D5—22no—
395C4×D5—22no—
396C4×D5—22no—
397C4×D5—22no—
398C4×D5—48no—
399C4×D5—84no—
400Dic10—22no—
401Dic10—22no—
402Dic10—42no—
403C5×C8—22no—
404C5×C8—22no—
405#168—22no—
406#168C2×#4114yes—
407C22×Q8—51no—
408C22×D4—51no—
409C22×D4—101no—
410C22×D4—101no—
411C22×D4C22×D511yescharacteristic
412C23×C4—21no—
413C23×C4—51no—
414C23×C4—51no—
415C23×C4—101no—
416C23×C4—101no—
417C2×SD16—54no—
418C2×SD16—104no—
419C2×M16—54no—
420C2×M16—54no—
421C2×M16—104no—
422C2×M16—104no—
423C22×C8—51no—
424C22×C8—51no—
425C22×C8C22×D511yescharacteristic
426C22×C8C22×D511yescharacteristic
427#126—108no—
428#126—108no—
429#125—22no—
430#125—54no—
431#125—108no—
432#125—102no—
433#125C22×D514yes—
434#123—108no—
435#123—108no—
436C22⋊Q8—54no—
437C22⋊Q8—54no—
438C22⋊Q8—102no—
439C22⋊Q8—102no—
440#121—54no—
441#121—54no—
442#121—108no—
443#121—102no—
444#121—102no—
445C4×Q8—54no—
446C4×Q8—102no—
447C4×D4—22no—
448C4×D4—54no—
449C4×D4—54no—
450C4×D4—108no—
451C4×D4C22×D514yes—
452#117—54no—
453#117—54no—
454#117—108no—
455#117—102no—
456#117—102no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—51no—
460C2×C4⋊C4—51no—
461C2×C4⋊C4—51no—
462C2×C4⋊C4—51no—
463C2×C4⋊C4—54no—
464C2×C4⋊C4—54no—
465C2×C4⋊C4—102no—
466C2×C4⋊C4—102no—
467C2×C4⋊C4—101no—
468C2×C4⋊C4—101no—
469C2×C4⋊C4—101no—
470C2×C4⋊C4—101no—
471C2×C4⋊C4—101no—
472C2×C4⋊C4—101no—
473C2×C4⋊C4—101no—
474C2×C4⋊C4C22×D511yescharacteristic
475C2×C4⋊C4C22×D511yescharacteristic
476C2×C4⋊C4C22×D511yescharacteristic
477C2×C22⋊C4—21no—
478C2×C22⋊C4—51no—
479C2×C22⋊C4—51no—
480C2×C22⋊C4—101no—
481C2×C22⋊C4—101no—
482C2×C22⋊C4—101no—
483C2×C22⋊C4—101no—
484C2×C22⋊C4—101no—
485C2×C22⋊C4—101no—
486C2×C42—101no—
487C2×C42—101no—
488C2×C42—101no—
489C2×C42C22×D511yescharacteristic
490#107—54no—
491#107—54no—
492#107—54no—
493#107C22×D514yes—
494#106—54no—
495#106—54no—
496#106—54no—
497#106—54no—
498#106C22×D514yes—
499C4⋊C8C22×D514yes—
500#103—54no—
501#103—54no—
502#103—54no—
503#102—54no—
504#102C22×D514yes—
505#102C22×D514yes—
506C22⋊C8—54no—
507C22⋊C8—54no—
508C4×C8—54no—
509C22×C5—42no—
510C22×C5—42no—
511C22×C5—42no—
512C22×C5—84no—
513C22×C5#54712yes—
514C22×C5#57512yes—
515C22×C5#57712yes—
516C22×C5C23×D411yescharacteristic
517C2×D5—22no—
518C2×D5—22no—
519C2×D5—22no—
520C2×D5—22no—
521C2×D5—22no—
522C2×D5—22no—
523C2×D5—44no—
524C2×D5—44no—
525C4×C5—22no—
526C4×C5—22no—
527C4×C5—42no—
528C4×C5—42no—
529C4×C5—42no—
530C4×C5#54712yes—
531C4×C5C22×#4111yescharacteristic
532C4×C5C2×2−1+411yescharacteristic
533Dic5—22no—
534Dic5—22no—
535Dic5—42no—
536Dic5—42no—
537Dic5—42no—
538Dic5—42no—
539C24—21no—
540C24—51no—
541C24—51no—
542C2×Q8—52no—
543C2×Q8—101no—
544C2×Q8—102no—
545C2×Q8—102no—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—54no—
550C2×D4—104no—
551C2×D4—104no—
552C2×D4—202no—
553C2×D4—204no—
554C2×D4—402no—
555C2×D4C23×D512yes—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—24no—
560C22×C4—51no—
561C22×C4—51no—
562C22×C4—52no—
563C22×C4—52no—
564C22×C4—52no—
565C22×C4—52no—
566C22×C4—82no—
567C22×C4—104no—
568C22×C4—104no—
569C22×C4—102no—
570C22×C4—102no—
571C22×C4—102no—
572C22×C4—102no—
573C22×C4—101no—
574C22×C4—101no—
575C22×C4—101no—
576C22×C4—101no—
577C22×C4—204no—
578C22×C4—402no—
579C22×C4D4×D511yescharacteristic
580C22×C4D4×D511yescharacteristic
581C22×C4C23×D511yescharacteristic
582SD16—108no—
583M16—108no—
584M16—108no—
585C2×C8—22no—
586C2×C8—22no—
587C2×C8—54no—
588C2×C8—52no—
589C2×C8—52no—
590C2×C8—102no—
591C2×C8C23×D512yes—
592C2×C8C23×D512yes—
593C4⋊C4—24no—
594C4⋊C4—24no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—54no—
599C4⋊C4—52no—
600C4⋊C4—52no—
601C4⋊C4—52no—
602C4⋊C4—104no—
603C4⋊C4—104no—
604C4⋊C4—104no—
605C4⋊C4—104no—
606C4⋊C4—101no—
607C4⋊C4—101no—
608C4⋊C4—101no—
609C4⋊C4—104no—
610C4⋊C4—104no—
611C4⋊C4—104no—
612C4⋊C4C23×D512yes—
613C4⋊C4C23×D512yes—
614C4⋊C4C23×D512yes—
615C22⋊C4—24no—
616C22⋊C4—54no—
617C22⋊C4—54no—
618C22⋊C4—104no—
619C22⋊C4—104no—
620C22⋊C4—104no—
621C22⋊C4—104no—
622C22⋊C4—104no—
623C22⋊C4—104no—
624C42—104no—
625C42—104no—
626C42—104no—
627C42D4×D512yes—
628C42C23×D512yes—
629C2×C5—82no—
630C2×C5#335114yescomplemented
631C2×C5C2×#54711yescharacteristic
632C2×C5C2×#57511yescharacteristic
633C2×C5C2×#57711yescharacteristic
634D5—42no—
635D5—42no—
636C23—22no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—52no—
641C23—52no—
642C23—102no—
643C23—102no—
644C23—102no—
645C23—102no—
646C23—102no—
647C23—102no—
648C23C2×D4×D511yescharacteristic
649Q8—102no—
650Q8—102no—
651Q8—202no—
652D4—22no—
653D4—22no—
654D4—42no—
655D4—204no—
656D4—208no—
657D4—404no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—52no—
667C2×C4—52no—
668C2×C4—84no—
669C2×C4—102no—
670C2×C4—102no—
671C2×C4—104no—
672C2×C4—104no—
673C2×C4—102no—
674C2×C4—102no—
675C2×C4—102no—
676C2×C4—102no—
677C2×C4—102no—
678C2×C4—102no—
679C2×C4—102no—
680C2×C4—102no—
681C2×C4—208no—
682C2×C4—202no—
683C2×C4—202no—
684C2×C4—202no—
685C2×C4—202no—
686C2×C4—404no—
687C2×C4C2×D4×D512yes—
688C2×C4C2×D4×D512yes—
689C2×C4C2×D4×D511yescharacteristic
690C2×C4#414712yes—
691C2×C4D5×#4112yes—
692C2×C4C24×D511yescharacteristic
693C8—22no—
694C8—22no—
695C8—54no—
696C8—102no—
697C5C2×#335111yescharacteristic, complemented, Sylow
698C22—42no—
699C22—42no—
700C22—42no—
701C22—84no—
702C22—102no—
703C22—102no—
704C22—102no—
705C22—102no—
706C22—102no—
707C22—102no—
708C22—204no—
709C22—204no—
710C22#6596512yes—
711C22#6610212yes—
712C22#6610912yes—
713C22C22×D4×D511yescharacteristic
714C4—22no—
715C4—22no—
716C4—42no—
717C4—42no—
718C4—42no—
719C4—102no—
720C4—102no—
721C4—202no—
722C4—202no—
723C4—202no—
724C4—202no—
725C4#6596512yes—
726C4C2×#414711yescharacteristic
727C4C2×D5×#4111yescharacteristic
728C2—82no—
729C2—202no—
730C2—202no—
731C2#1061293114yesdirect product factor
732C2C2×#6596511yescharacteristic
733C2C2×#6610211yescharacteristic
734C2C2×#6610911yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#478C2
socleC23×C5C22×D4
prime radicalC2×#65892C2
hypercenterC2×#478D5
hypocenterC5C2×#3351
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
1. C2×#66028C2semidirect
3. C2×C5×#478C2semidirect
4. C2×#65353C2semidirect
5. C2×C4×#687C2semidirect
6. #10612931C2direct (N × H)
7. C2×#65177C2semidirect
8. C2×#65170C2semidirect
9. C2×#65151C2semidirect
10. C2×#65150C2semidirect
11. C2×#65118C2semidirect
12. C2×#65127C2semidirect
13. C2×#65066C2semidirect
14. C2×#65073C2semidirect
15. C2×#65069C2semidirect
16. C2×#65069C2semidirect
27. #66028C22semidirect
45. C5×#478C22semidirect
58. #65353C22semidirect
59. C4×#687C22semidirect
67. #65177C22semidirect
68. #65170C22semidirect
69. #65151C22semidirect
70. #65150C22semidirect
71. #65127C22semidirect
72. #65118C22semidirect
73. #65073C22semidirect
74. #65069C22semidirect
75. #65069C22semidirect
76. #65066C22semidirect
189. C2×#478D5semidirect
320. #478C2×D5semidirect
630. C2×C5#3351semidirect
697. C5C2×#3351semidirect
731. C2#10612931direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660282
C2×#658922
C2×C5×#4782
C2×#653532
C2×C4×#6872
#106129312
C2×#651772
C2×#651702
C2×#651512
C2×#651502
C2×#651182
C2×#651272
C2×#650662
C2×#650732
C2×#650692
C2×#33515