Finite Group Databasebeta

← C2×#10611522 #12969219

Subgroups — C2×#10611522 #12969219

Order 1280.

1998 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65912C211yesmaximal, characteristic, complemented
2C2×#65891C211yesmaximal, characteristic
3C2×C5×#440C211yesmaximal, characteristic, complemented
4C2×#65460C211yesmaximal, characteristic
5C2×#65456C211yesmaximal, characteristic, complemented
6C2×#65319C211yesmaximal, characteristic, complemented
7C2×#65307C211yesmaximal, characteristic, complemented
8#10611522C2116yesmaximal, direct product factor
9C2×#65176C211yesmaximal, characteristic, complemented
10C2×#65165C211yesmaximal, characteristic, complemented
11C2×#65102C211yesmaximal, characteristic, complemented
12C2×#65086C211yesmaximal, characteristic, complemented
13C2×#65067C211yesmaximal, characteristic
14C2×#65054C211yesmaximal, characteristic, complemented
15C2×#65005C211yesmaximal, characteristic, complemented
16C2×D5×#97C211yesmaximal, characteristic, complemented
17C22×C5×SD16C2211yescharacteristic
18C2×C4×C5×Q8C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×#4092C2211yescharacteristic
21C2×#4090C2211yescharacteristic
22C22×#689C2211yescharacteristic
23C2×#4084C2211yescharacteristic
24C2×#4082C2211yescharacteristic
25C22×#687C2211yescharacteristic
26C2×C4×C22⋊D5—21no—
27C2×#4072—21no—
28C22×Dic20C2211yescharacteristic
29C22×C8×D5C2211yescharacteristic
30C22×C8×D5C2211yescharacteristic
31#65912—24no—
32#65912C2218yescomplemented
33#65891—24no—
34#65891C2218yes—
35C2×#4043C2211yescharacteristic
36C2×#4043C2211yescharacteristic
37C2×#4042—21no—
38C2×#4036C2211yescharacteristic
39C2×#4035—21no—
40C2×#4034C2211yescharacteristic
41C2×#4029—21no—
42C2×#4025—21no—
43C2×#4018—21no—
44C2×C42×D5C2211yescharacteristic
45C2×C4×Dic10—21no—
46C2×C4×Dic10C2211yescharacteristic
47C2×C4×Dic10C2211yescharacteristic
48C5×#440C2218yescomplemented
49C2×C5×#107C2211yescharacteristic
50C2×C5×#103C2211yescharacteristic
51C2×C5×#102C2211yescharacteristic
52C2×C5×#97C2211yescharacteristic
53C2×#3967C2211yescharacteristic
54C2×#3964C2211yescharacteristic
55#65460C2218yes—
56#65456C2218yescomplemented
57C2×#3949C2211yescharacteristic
58C2×#3948C2211yescharacteristic
59C2×#3948C2211yescharacteristic
60C2×#3947C2211yescharacteristic
61C2×#3947C2211yescharacteristic
62#65319C2218yescomplemented
63#65307C2218yescomplemented
64C2×#3942C2211yescharacteristic
65C2×#3942C2211yescharacteristic
66C2×#3940C2211yescharacteristic
67C2×#3939C2211yescharacteristic
68C2×#3935C2211yescharacteristic
69#65176C2218yescomplemented
70#65165C2218yescomplemented
71#65102C2218yescomplemented
72#65086C2218yescomplemented
73#65067C2218yes—
74#65054C2218yescomplemented
75#65005C2218yescomplemented
76D5×#97C2218yescomplemented
77C2×#3181—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5—21no—
81C22×C22⋊D5—21no—
82C22×C4×D5D411yescharacteristic
83C22×C4×D5D411yescharacteristic
84C22×C4×D5C2311yescharacteristic
85C22×Dic10—21no—
86C22×Dic10C2311yescharacteristic
87C22×Dic10C2311yescharacteristic
88C2×C5×SD16—24no—
89C2×C5×SD16C2314yes—
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C4×C5×Q8—22no—
93C4×C5×Q8C2314yes—
94C4×C5×D4—22no—
95C4×C5×D4C2314yes—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C22⋊C4—21no—
100C2×C42×C5—21no—
101C2×C42×C5C2311yescharacteristic
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5—21no—
105#4092—22no—
106#4092C2314yes—
107#4090—22no—
108#4090C2314yes—
109C2×#689—24no—
110C2×#689C2314yes—
111#4084—22no—
112#4084C2314yes—
113#4082—22no—
114#4082C2314yes—
115C2×#687—24no—
116C2×#687C2314yes—
117C4×C22⋊D5—28no—
118C2×#685—21no—
119C2×#685—21no—
120C2×#685—21no—
121#4072—28no—
122C2×C4⋊Dic5—21no—
123C2×C4⋊Dic5—21no—
124C2×C4⋊Dic5—21no—
125C2×C4⋊Dic5C2311yescharacteristic
126C2×C4⋊Dic5C2311yescharacteristic
127C2×#683—21no—
128C2×#683—21no—
129C2×#683—21no—
130C2×#683—21no—
131C2×#683—21no—
132C2×#683—21no—
133C2×#683—21no—
134C2×C4×Dic5—21no—
135C2×C4×Dic5—21no—
136C2×C4×Dic5D411yescharacteristic
137C2×C4×Dic5D411yescharacteristic
138C2×C4×Dic5C2311yescharacteristic
139C22×#168C2311yescharacteristic
140C22×#168C2311yescharacteristic
141C2×Dic20—24no—
142C2×Dic20C2314yes—
143C2×C8×D5—24no—
144C2×C8×D5—24no—
145C2×C8×D5C2314yes—
146C2×C8×D5C2314yes—
147#4043—22no—
148#4043—22no—
149#4043C2314yes—
150#4043C2314yes—
151#4042—28no—
152#4036—22no—
153#4036C2314yes—
154#4035—28no—
155#4034—22no—
156#4034C2314yes—
157#4029—28no—
158#4025—28no—
159#4018—28no—
160C42×D5D414yes—
161C42×D5C2314yes—
162C4×Dic10—22no—
163C4×Dic10—22no—
164C4×Dic10—28no—
165C4×Dic10C2314yes—
166C4×Dic10C2314yes—
167C5×#107C2314yes—
168C5×#103C2314yes—
169C5×#102C2314yes—
170C5×#97C2314yes—
171#3967C2314yes—
172#3964C2314yes—
173#3949C2314yes—
174#3948C2314yes—
175#3948C2314yes—
176#3947C2314yes—
177#3947C2314yes—
178#3942C2314yes—
179#3942C2314yes—
180#3940C2314yes—
181#3939C2314yes—
182#3935C2314yes—
183C2×#533—51no—
184C2×#529—51no—
185#3181—516no—
186C2×#501—51no—
187C2×#497—51no—
188C2×#491—51no—
189C2×#489—51no—
190C2×#467—51no—
191C2×#467—51no—
192C2×#465—51no—
193C2×#465—51no—
194C2×#441—51no—
195C2×#441—51no—
196C2×#440—51no—
197C2×#440D511yescharacteristic, complemented
198C22×#97—51no—
199C24×C5—21no—
200C23×D5C2×D411yescharacteristic
201C2×C5×Q8—21no—
202C2×C5×Q8—22no—
203C2×C5×Q8—22no—
204C2×C5×Q8C2412yes—
205C2×C5×D4—21no—
206C2×C5×D4—22no—
207C2×C5×D4—22no—
208C2×C5×D4C2412yes—
209C22×C4×C5—21no—
210C22×C4×C5—21no—
211C22×C4×C5—21no—
212C22×C4×C5—24no—
213C22×C4×C5—44no—
214C22×C4×C5C2×D411yescharacteristic
215C22×C4×C5C2×D411yescharacteristic
216C22×C4×C5C2411yescharacteristic
217C2×C22⋊D5—24no—
218C2×C22⋊D5—44no—
219C22×Dic5—21no—
220C22×Dic5—21no—
221C22×Dic5—21no—
222C22×Dic5—21no—
223C22×Dic5C2×D411yescharacteristic
224C22×Dic5C2×D411yescharacteristic
225C22×Dic5C2×D411yescharacteristic
226C2×C4×D5—24no—
227C2×C4×D5—22no—
228C2×C4×D5—22no—
229C2×C4×D5—42no—
230C2×C4×D5C2×D414yes—
231C2×C4×D5C2×D412yes—
232C2×C4×D5C2×D414yes—
233C2×C4×D5C2412yes—
234C2×Dic10—22no—
235C2×Dic10—22no—
236C2×Dic10—22no—
237C2×Dic10—22no—
238C2×Dic10—21no—
239C2×Dic10—21no—
240C2×Dic10—24no—
241C2×Dic10—44no—
242C2×Dic10C2412yes—
243C2×Dic10C2412yes—
244C5×SD16—28no—
245C2×C5×C8—22no—
246C2×C5×C8#4114yes—
247C2×C5×C8C2412yes—
248C2×C5×C8C2412yes—
249C5×C4⋊C4—24no—
250C5×C4⋊C4—21no—
251C5×C4⋊C4—21no—
252C5×C4⋊C4C2412yes—
253C5×C4⋊C4C2412yes—
254C5×C22⋊C4—24no—
255C42×C5—24no—
256C42×C5C2×D412yes—
257C42×C5C2412yes—
258C22⋊Dic5—24no—
259C22⋊Dic5—24no—
260C22⋊Dic5—24no—
261#689—28no—
262#687—28no—
263#685—24no—
264#685—24no—
265#685—24no—
266C4⋊Dic5—21no—
267C4⋊Dic5—21no—
268C4⋊Dic5—24no—
269C4⋊Dic5—24no—
270C4⋊Dic5—24no—
271C4⋊Dic5C2412yes—
272C4⋊Dic5C2412yes—
273#683—24no—
274#683—24no—
275#683—24no—
276#683—24no—
277#683—24no—
278#683—24no—
279#683—24no—
280C4×Dic5—24no—
281C4×Dic5—24no—
282C4×Dic5C2×D414yes—
283C4×Dic5C2×D412yes—
284C4×Dic5C2×D414yes—
285C4×Dic5C2412yes—
286C2×#168—22no—
287C2×#168#4114yes—
288C2×#168C2412yes—
289C2×#168C2412yes—
290Dic20—28no—
291C8×D5—28no—
292C8×D5—28no—
293C22×Q16—51no—
294C22×Q16—51no—
295C22×SD16—51no—
296C22×SD16C2×D511yescharacteristic
297C23×C8—51no—
298C23×C8—51no—
299#533—58no—
300#533—104no—
301C2×C4⋊Q8—51no—
302C2×C4⋊Q8—51no—
303#529—58no—
304#529—104no—
305C2×#126—101no—
306C2×#125—51no—
307C2×#125—101no—
308C2×#124—51no—
309C2×#123—101no—
310C2×C22⋊Q8—51no—
311C2×C22⋊Q8—51no—
312C2×C22⋊Q8—51no—
313C2×C22⋊Q8—101no—
314C2×#121—51no—
315C2×C4×Q8—51no—
316C2×C4×Q8—51no—
317C2×C4×Q8—101no—
318C2×C4×Q8C2×D511yescharacteristic
319C2×C4×D4—101no—
320C2×C4×D4C2×D511yescharacteristic
321C2×#117—101no—
322C2×#117—101no—
323C22×C42—51no—
324#501—58no—
325#497—58no—
326#491—58no—
327#489—58no—
328#467—58no—
329#467—58no—
330#465—58no—
331#465—58no—
332#441—58no—
333#441—58no—
334#440—58no—
335#440C2×D518yescomplemented
336C2×#107—51no—
337C2×#107C2×D511yescharacteristic
338C2×#106—51no—
339C2×#106—51no—
340C2×#103—51no—
341C2×#103—51no—
342C2×#103—51no—
343C2×#103—51no—
344C2×#103—51no—
345C2×#103C2×D511yescharacteristic
346C2×#102—51no—
347C2×#102C2×D511yescharacteristic
348C2×#97—51no—
349C2×#97—51no—
350C2×#97—51no—
351C2×#97—58no—
352C2×#97C2×D511yescharacteristic
353C23×C5—22no—
354C23×C5—42no—
355C23×C5—42no—
356C23×C5—42no—
357C23×C5C22×D411yescharacteristic
358C22×D5—22no—
359C22×D5—22no—
360C22×D5#13714yes—
361C22×D5C22×D412yes—
362C5×Q8—22no—
363C5×Q8—22no—
364C5×Q8—42no—
365C5×D4—22no—
366C5×D4—22no—
367C5×D4—42no—
368C2×C4×C5—22no—
369C2×C4×C5—22no—
370C2×C4×C5—22no—
371C2×C4×C5—22no—
372C2×C4×C5—22no—
373C2×C4×C5—48no—
374C2×C4×C5—42no—
375C2×C4×C5—42no—
376C2×C4×C5—42no—
377C2×C4×C5C22×D412yes—
378C2×C4×C5C22×D412yes—
379C2×C4×C5C22×D411yescharacteristic
380C2×C4×C5C2×#4112yes—
381C2×C4×C5C2×#4112yes—
382C2×C4×C5C2511yescharacteristic
383C22⋊D5—48no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—22no—
387C2×Dic5—22no—
388C2×Dic5—22no—
389C2×Dic5—22no—
390C2×Dic5—22no—
391C2×Dic5—42no—
392C2×Dic5—42no—
393C2×Dic5—42no—
394C2×Dic5—42no—
395C2×Dic5C22×D412yes—
396C2×Dic5C22×D412yes—
397C2×Dic5C22×D412yes—
398C4×D5—28no—
399C4×D5—24no—
400C4×D5—22no—
401C4×D5—22no—
402C4×D5—44no—
403Dic10—22no—
404Dic10—22no—
405Dic10—22no—
406Dic10—22no—
407Dic10—48no—
408Dic10—42no—
409Dic10—42no—
410C5×C8—22no—
411C5×C8C2×#4114yes—
412#168—22no—
413#168C2×#4114yes—
414C22×Q8—51no—
415C22×Q8—51no—
416C22×Q8—101no—
417C22×Q8C22×D511yescharacteristic
418C22×D4—101no—
419C22×D4C22×D511yescharacteristic
420C23×C4—21no—
421C23×C4—51no—
422C23×C4—51no—
423C23×C4—51no—
424C2×Q16—54no—
425C2×Q16—54no—
426C2×Q16—104no—
427C2×Q16—104no—
428C2×SD16—24no—
429C2×SD16—54no—
430C2×SD16—104no—
431C2×SD16C22×D514yes—
432C22×C8—51no—
433C22×C8—51no—
434C22×C8—54no—
435C22×C8—54no—
436C22×C8—104no—
437C22×C8—104no—
438C22×C8C22×D511yescharacteristic
439C22×C8C22×D511yescharacteristic
440C4⋊Q8—54no—
441C4⋊Q8—54no—
442C4⋊Q8—102no—
443C4⋊Q8—102no—
444#126—108no—
445#125—54no—
446#125—102no—
447#125—108no—
448#124—54no—
449#124—102no—
450#123—108no—
451C22⋊Q8—54no—
452C22⋊Q8—54no—
453C22⋊Q8—54no—
454C22⋊Q8—102no—
455C22⋊Q8—102no—
456C22⋊Q8—108no—
457C22⋊Q8—102no—
458#121—54no—
459#121—102no—
460C4×Q8—22no—
461C4×Q8—54no—
462C4×Q8—54no—
463C4×Q8—108no—
464C4×Q8—102no—
465C4×Q8—102no—
466C4×Q8C22×D514yes—
467C4×D4—22no—
468C4×D4—108no—
469C4×D4C22×D514yes—
470#117—108no—
471#117—108no—
472C2×C4⋊C4—21no—
473C2×C4⋊C4—51no—
474C2×C4⋊C4—51no—
475C2×C4⋊C4—101no—
476C2×C4⋊C4—101no—
477C2×C4⋊C4—101no—
478C2×C4⋊C4—101no—
479C2×C4⋊C4—101no—
480C2×C4⋊C4—101no—
481C2×C4⋊C4—101no—
482C2×C4⋊C4—101no—
483C2×C4⋊C4—101no—
484C2×C4⋊C4—101no—
485C2×C4⋊C4C22×D511yescharacteristic
486C2×C4⋊C4C22×D511yescharacteristic
487C2×C22⋊C4—21no—
488C2×C22⋊C4—101no—
489C2×C22⋊C4—101no—
490C2×C22⋊C4—101no—
491C2×C22⋊C4—101no—
492C2×C22⋊C4—101no—
493C2×C22⋊C4—101no—
494C2×C42—21no—
495C2×C42—51no—
496C2×C42—51no—
497C2×C42—51no—
498C2×C42—54no—
499C2×C42—54no—
500C2×C42—101no—
501C2×C42—101no—
502C2×C42C22×D511yescharacteristic
503#107—54no—
504#107C22×D514yes—
505#106—54no—
506#106—54no—
507#103—54no—
508#103—54no—
509#103—54no—
510#103—54no—
511#103—54no—
512#103C22×D514yes—
513#102—54no—
514#102C22×D514yes—
515#97—54no—
516#97—54no—
517#97—54no—
518#97C22×D514yes—
519C22×C5—42no—
520C22×C5—42no—
521C22×C5—42no—
522C22×C5—84no—
523C22×C5#53212yes—
524C22×C5C2×#13712yes—
525C22×C5#57512yes—
526C22×C5C23×D411yescharacteristic
527C2×D5—28no—
528C2×D5—22no—
529C2×D5—22no—
530C2×D5C2×#13714yes—
531C4×C5—22no—
532C4×C5—22no—
533C4×C5—42no—
534C4×C5—42no—
535C4×C5—42no—
536C4×C5#53212yes—
537C4×C5C22×#4111yescharacteristic
538C4×C5C22×#4111yescharacteristic
539Dic5—22no—
540Dic5—22no—
541Dic5—22no—
542Dic5—42no—
543Dic5—42no—
544Dic5—42no—
545Dic5—42no—
546C24—21no—
547C24—51no—
548C2×Q8—21no—
549C2×Q8—22no—
550C2×Q8—22no—
551C2×Q8—52no—
552C2×Q8—52no—
553C2×Q8—104no—
554C2×Q8—101no—
555C2×Q8—101no—
556C2×Q8—102no—
557C2×Q8—102no—
558C2×Q8—102no—
559C2×Q8—102no—
560C2×Q8—204no—
561C2×Q8C23×D512yes—
562C2×D4—22no—
563C2×D4—21no—
564C2×D4—22no—
565C2×D4—104no—
566C2×D4—204no—
567C2×D4C23×D512yes—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—24no—
572C22×C4—44no—
573C22×C4—51no—
574C22×C4—51no—
575C22×C4—51no—
576C22×C4—54no—
577C22×C4—52no—
578C22×C4—52no—
579C22×C4—54no—
580C22×C4—104no—
581C22×C4—102no—
582C22×C4—102no—
583C22×C4—101no—
584C22×C4—101no—
585C22×C4—101no—
586C22×C4—101no—
587C22×C4—202no—
588C22×C4D4×D511yescharacteristic
589C22×C4D4×D511yescharacteristic
590C22×C4C23×D511yescharacteristic
591Q16—108no—
592Q16—108no—
593SD16—28no—
594SD16—108no—
595C2×C8—22no—
596C2×C8—54no—
597C2×C8—52no—
598C2×C8—52no—
599C2×C8—108no—
600C2×C8—102no—
601C2×C8—108no—
602C2×C8#70914yes—
603C2×C8C23×D512yes—
604C2×C8C23×D512yes—
605C4⋊C4—24no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C4⋊C4—52no—
609C4⋊C4—52no—
610C4⋊C4—104no—
611C4⋊C4—104no—
612C4⋊C4—104no—
613C4⋊C4—104no—
614C4⋊C4—104no—
615C4⋊C4—104no—
616C4⋊C4—104no—
617C4⋊C4—104no—
618C4⋊C4—101no—
619C4⋊C4—101no—
620C4⋊C4—104no—
621C4⋊C4—104no—
622C4⋊C4C23×D512yes—
623C4⋊C4C23×D512yes—
624C22⋊C4—24no—
625C22⋊C4—104no—
626C22⋊C4—104no—
627C22⋊C4—104no—
628C22⋊C4—104no—
629C22⋊C4—104no—
630C22⋊C4—104no—
631C42—24no—
632C42—54no—
633C42—54no—
634C42—52no—
635C42—52no—
636C42—104no—
637C42—104no—
638C42D4×D512yes—
639C42C23×D512yes—
640C2×C5—82no—
641C2×C5#318114yescomplemented
642C2×C5C2×#53211yescharacteristic
643C2×C5C22×#13711yescharacteristic
644C2×C5C2×#57511yescharacteristic
645D5—24no—
646C23—22no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—54no—
651C23—52no—
652C23—102no—
653C23—102no—
654C23C2×D4×D511yescharacteristic
655Q8—22no—
656Q8—22no—
657Q8—42no—
658Q8—102no—
659Q8—102no—
660Q8—102no—
661Q8—102no—
662Q8—208no—
663Q8—202no—
664Q8—202no—
665D4—22no—
666D4—22no—
667D4—42no—
668D4—208no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—48no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—52no—
679C2×C4—52no—
680C2×C4—52no—
681C2×C4—108no—
682C2×C4—102no—
683C2×C4—102no—
684C2×C4—102no—
685C2×C4—104no—
686C2×C4—102no—
687C2×C4—102no—
688C2×C4—102no—
689C2×C4—102no—
690C2×C4—102no—
691C2×C4—102no—
692C2×C4—204no—
693C2×C4—202no—
694C2×C4—202no—
695C2×C4—202no—
696C2×C4—202no—
697C2×C4C2×#70912yes—
698C2×C4C2×D4×D512yes—
699C2×C4C2×D4×D512yes—
700C2×C4C2×D4×D511yescharacteristic
701C2×C4D5×#4112yes—
702C2×C4C24×D511yescharacteristic
703C8—22no—
704C8—54no—
705C8—102no—
706C8C2×#70914yes—
707C5C2×#318111yescharacteristic, complemented, Sylow
708C22—42no—
709C22—42no—
710C22—42no—
711C22—54no—
712C22—84no—
713C22—108no—
714C22—102no—
715C22—102no—
716C22#6588212yes—
717C22#6610712yes—
718C22D5×#13712yes—
719C22C22×D4×D511yescharacteristic
720C4—22no—
721C4—22no—
722C4—42no—
723C4—42no—
724C4—42no—
725C4—102no—
726C4—102no—
727C4—102no—
728C4—202no—
729C4—202no—
730C4—202no—
731C4—202no—
732C4#6588212yes—
733C4C22×#70911yescharacteristic
734C4C2×D5×#4111yescharacteristic
735C2—82no—
736C2—104no—
737C2#1061152214yesdirect product factor
738C2C2×#6588211yescharacteristic
739C2C2×#6610711yescharacteristic
740C2C2×D5×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#440C2
socleC23×C5C22×D4
prime radicalC2×#4084C22
hypercenterC2×#440D5
hypocenterC5C2×#3181
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
1. C2×#65912C2semidirect
3. C2×C5×#440C2semidirect
5. C2×#65456C2semidirect
6. C2×#65319C2semidirect
7. C2×#65307C2semidirect
8. #10611522C2direct (N × H)
9. C2×#65176C2semidirect
10. C2×#65165C2semidirect
11. C2×#65102C2semidirect
12. C2×#65086C2semidirect
14. C2×#65054C2semidirect
15. C2×#65005C2semidirect
16. C2×D5×#97C2semidirect
32. #65912C22semidirect
48. C5×#440C22semidirect
56. #65456C22semidirect
62. #65319C22semidirect
63. #65307C22semidirect
69. #65176C22semidirect
70. #65165C22semidirect
71. #65102C22semidirect
72. #65086C22semidirect
74. #65054C22semidirect
75. #65005C22semidirect
76. D5×#97C22semidirect
197. C2×#440D5semidirect
335. #440C2×D5semidirect
641. C2×C5#3181semidirect
707. C5C2×#3181semidirect
737. C2#10611522direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659122
C2×#658912
C2×C5×#4402
C2×#654602
C2×#654562
C2×#653192
C2×#653072
#106115222
C2×#651762
C2×#651652
C2×#651022
C2×#650862
C2×#650672
C2×#650542
C2×#650052
C2×D5×#972
C2×#31815