Finite Group Databasebeta

← C2×#10611093 #12971491

Subgroups — C2×#10611093 #12971491

Order 1280.

1806 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65869C211yesmaximal, characteristic
2C2×#65853C211yesmaximal, characteristic, complemented
3C2×C5×#433C211yesmaximal, characteristic, complemented
4#10611093C2116yesmaximal, direct product factor
5C2×#65136C211yesmaximal, characteristic, complemented
6C2×#65136C211yesmaximal, characteristic, complemented
7C2×#65131C211yesmaximal, characteristic, complemented
8C2×#65135C211yesmaximal, characteristic, complemented
9C2×#65024C211yesmaximal, characteristic, complemented
10C2×#65026C211yesmaximal, characteristic, complemented
11C2×#65026C211yesmaximal, characteristic, complemented
12C2×#65025C211yesmaximal, characteristic, complemented
13C2×#65002C211yesmaximal, characteristic, complemented
14C2×#64991C211yesmaximal, characteristic, complemented
15C2×#64983C211yesmaximal, characteristic, complemented
16C2×#64972C211yesmaximal, characteristic, complemented
17C2×C5×#117C2211yescharacteristic
18C2×#4076C2211yescharacteristic
19C2×#4076C2211yescharacteristic
20C2×#4072C2211yescharacteristic
21C22×C4⋊Dic5C2211yescharacteristic
22#65869—24no—
23#65869C2218yes—
24#65853—24no—
25#65853C2218yescomplemented
26C2×#4040—21no—
27C2×#4040—21no—
28C2×#4036—21no—
29C2×#4034—21no—
30C2×#4030—21no—
31C2×#4030—21no—
32C2×#4024—21no—
33C2×#4024—21no—
34C2×#4020C2211yescharacteristic
35C2×C4×D20C2211yescharacteristic
36C2×C4×D20C2211yescharacteristic
37C2×#4016C2211yescharacteristic
38C2×#4016C2211yescharacteristic
39C2×#4016C2211yescharacteristic
40C2×#4015C2211yescharacteristic
41C2×#4015C2211yescharacteristic
42C5×#433C2218yescomplemented
43C2×C5×C4⋊C8C2211yescharacteristic
44C2×C5×C4⋊C8C2211yescharacteristic
45C2×C5×C22⋊C8C2211yescharacteristic
46C2×C5×C22⋊C8C2211yescharacteristic
47C2×C5×#97C2211yescharacteristic
48C2×C4×C5×C8C2211yescharacteristic
49C2×#3953C2211yescharacteristic
50C2×#3953C2211yescharacteristic
51C2×#3953C2211yescharacteristic
52C2×#3953C2211yescharacteristic
53C2×#3953C2211yescharacteristic
54C2×#3953C2211yescharacteristic
55C2×#3953C2211yescharacteristic
56C2×#3953C2211yescharacteristic
57C2×#3950C2211yescharacteristic
58C2×#3950C2211yescharacteristic
59C2×#3950C2211yescharacteristic
60C2×#3950C2211yescharacteristic
61C2×#3949C2211yescharacteristic
62C2×#3949C2211yescharacteristic
63C2×#3949C2211yescharacteristic
64C2×#3949C2211yescharacteristic
65#65136C2218yescomplemented
66#65136C2218yescomplemented
67#65135C2218yescomplemented
68#65131C2218yescomplemented
69#65026C2218yescomplemented
70#65026C2218yescomplemented
71#65025C2218yescomplemented
72#65024C2218yescomplemented
73#65002C2218yescomplemented
74#64991C2218yescomplemented
75#64983C2218yescomplemented
76#64972C2218yescomplemented
77C2×#3241—51nomaximal, Sylow
78C23×C4×C5C2311yescharacteristic
79C22×C22⋊D5—21no—
80C22×C22⋊D5—21no—
81C23×Dic5—21no—
82C22×D20—21no—
83C22×D20—21no—
84C22×D20C2311yescharacteristic
85C22×D20C2311yescharacteristic
86C22×C4×D5—21no—
87C22×C4×D5—21no—
88C22×Dic10—21no—
89C22×Dic10—21no—
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C22×C5×C8C2311yescharacteristic
93C22×C5×C8C2311yescharacteristic
94C5×#117D414yes—
95C5×#117C2314yes—
96C2×C5×C4⋊C4D411yescharacteristic
97C2×C5×C4⋊C4D411yescharacteristic
98C2×C5×C22⋊C4D411yescharacteristic
99C2×C5×C22⋊C4D411yescharacteristic
100C2×C42×C5C2311yescharacteristic
101C2×C42×C5C2311yescharacteristic
102C2×C22⋊Dic5—21no—
103#4076—22no—
104#4076—22no—
105#4076C2314yes—
106#4076C2314yes—
107C2×#685—21no—
108C2×#685—21no—
109C2×#685—21no—
110C2×#685—21no—
111#4072—22no—
112#4072C2314yes—
113C2×C4⋊Dic5—21no—
114C2×C4⋊Dic5—21no—
115C2×C4⋊Dic5—21no—
116C2×C4⋊Dic5—22no—
117C2×C4⋊Dic5C2314yes—
118C2×C4⋊Dic5C2311yescharacteristic
119C2×C4⋊Dic5C2311yescharacteristic
120C2×C4⋊Dic5C2311yescharacteristic
121C2×C4⋊Dic5C2311yescharacteristic
122C2×C4⋊Dic5C2311yescharacteristic
123C2×C4⋊Dic5C2311yescharacteristic
124C2×#683—21no—
125C2×#683—21no—
126C2×#683—21no—
127C2×#683—21no—
128C2×#683—21no—
129C2×#683—21no—
130C2×C4×Dic5—21no—
131#4040—28no—
132#4040—28no—
133#4036—28no—
134#4034—28no—
135#4030—28no—
136#4030—28no—
137#4024—28no—
138#4024—28no—
139#4020—22no—
140#4020C2314yes—
141C4×D20—22no—
142C4×D20—22no—
143C4×D20C2314yes—
144C4×D20C2314yes—
145#4016—22no—
146#4016—22no—
147#4016—22no—
148#4016C2314yes—
149#4016C2314yes—
150#4016C2314yes—
151#4015—22no—
152#4015—22no—
153#4015C2314yes—
154#4015C2314yes—
155C5×C4⋊C8C2314yes—
156C5×C4⋊C8C2314yes—
157C5×C22⋊C8C2314yes—
158C5×C22⋊C8C2314yes—
159C5×#97C2314yes—
160C4×C5×C8C2314yes—
161#3953C2314yes—
162#3953C2314yes—
163#3953C2314yes—
164#3953C2314yes—
165#3953C2314yes—
166#3953C2314yes—
167#3953C2314yes—
168#3953C2314yes—
169#3950C2314yes—
170#3950C2314yes—
171#3950C2314yes—
172#3950C2314yes—
173#3949C2314yes—
174#3949C2314yes—
175#3949C2314yes—
176#3949C2314yes—
177C2×#544—51no—
178C2×#540—51no—
179#3241—516no—
180C2×#501—51no—
181C2×#499—51no—
182C2×#490—51no—
183C2×#486—51no—
184C2×#481—51no—
185C2×#482—51no—
186C2×#482—51no—
187C2×#480—51no—
188C2×#478—51no—
189C2×#478—51no—
190C2×#476—51no—
191C2×#474—51no—
192C2×#433D511yescharacteristic, complemented
193C24×C5C2×D411yescharacteristic
194C23×D5—21no—
195C23×D5—21no—
196C22×C4×C5—22no—
197C22×C4×C5—22no—
198C22×C4×C5C2×D411yescharacteristic
199C22×C4×C5C2×D411yescharacteristic
200C22×C4×C5C2×D411yescharacteristic
201C22×C4×C5C2×D411yescharacteristic
202C22×C4×C5C2×D411yescharacteristic
203C22×C4×C5C2×D412yes—
204C22×C4×C5C2412yes—
205C22×C4×C5C2411yescharacteristic
206C2×C22⋊D5—24no—
207C2×C22⋊D5—24no—
208C2×C22⋊D5—82no—
209C2×C22⋊D5—82no—
210C22×Dic5—21no—
211C22×Dic5—21no—
212C22×Dic5—21no—
213C22×Dic5—21no—
214C22×Dic5—21no—
215C22×Dic5—21no—
216C22×Dic5—24no—
217C22×Dic5—82no—
218C2×D20—22no—
219C2×D20—22no—
220C2×D20—22no—
221C2×D20—22no—
222C2×D20—21no—
223C2×D20—21no—
224C2×D20—24no—
225C2×D20—24no—
226C2×D20—82no—
227C2×D20—82no—
228C2×D20C2412yes—
229C2×D20C2412yes—
230C2×C4×D5—24no—
231C2×C4×D5—24no—
232C2×C4×D5—82no—
233C2×C4×D5—82no—
234C2×Dic10—24no—
235C2×Dic10—24no—
236C2×Dic10—82no—
237C2×Dic10—82no—
238C2×C5×C8—22no—
239C2×C5×C8—22no—
240C2×C5×C8—22no—
241C2×C5×C8—22no—
242C2×C5×C8C2412yes—
243C2×C5×C8C2412yes—
244C2×C5×C8C2412yes—
245C2×C5×C8C2412yes—
246C5×C4⋊C4C2×D414yes—
247C5×C4⋊C4C2×D414yes—
248C5×C22⋊C4C2×D414yes—
249C5×C22⋊C4C2×D414yes—
250C42×C5C2×D412yes—
251C42×C5C2×D412yes—
252C42×C5C2412yes—
253C42×C5C2412yes—
254C22⋊Dic5—24no—
255#685—24no—
256#685—24no—
257#685—24no—
258#685—24no—
259C4⋊Dic5—21no—
260C4⋊Dic5—21no—
261C4⋊Dic5—21no—
262C4⋊Dic5—24no—
263C4⋊Dic5—24no—
264C4⋊Dic5—21no—
265C4⋊Dic5—21no—
266C4⋊Dic5—21no—
267C4⋊Dic5—24no—
268C4⋊Dic5C2412yes—
269C4⋊Dic5C2412yes—
270C4⋊Dic5C2412yes—
271C4⋊Dic5C2412yes—
272C4⋊Dic5C2412yes—
273C4⋊Dic5C2412yes—
274#683—24no—
275#683—24no—
276#683—24no—
277#683—24no—
278#683—24no—
279#683—24no—
280C4×Dic5—24no—
281#544—58no—
282#544—104no—
283#540—58no—
284#540—104no—
285C2×C4⋊Q8—51no—
286C2×C4⋊Q8—51no—
287C2×C4⋊Q8—101no—
288C2×#127—51no—
289C2×#125—51no—
290C2×#125—51no—
291C2×#125—51no—
292C2×#125—101no—
293C2×#123—101no—
294C2×#123—101no—
295C2×C22⋊Q8—101no—
296C2×C22⋊Q8—101no—
297C2×#121—51no—
298C2×#121—51no—
299C2×#121—101no—
300C2×#121—101no—
301C2×C4×D4—51no—
302C2×C4×D4—51no—
303C2×#117—51no—
304C2×#117C2×D511yescharacteristic
305C22×C4⋊C4—51no—
306#501—58no—
307#499—58no—
308#490—58no—
309#486—58no—
310#482—58no—
311#482—58no—
312#481—58no—
313#480—58no—
314#478—58no—
315#478—58no—
316#476—58no—
317#474—58no—
318#433C2×D518yescomplemented
319C2×#107—51no—
320C2×#107—51no—
321C2×#107—51no—
322C2×#107—51no—
323C2×#106—51no—
324C2×#106—51no—
325C2×#106—51no—
326C2×#106—51no—
327C2×C4⋊C8C2×D511yescharacteristic
328C2×C4⋊C8C2×D511yescharacteristic
329C2×#102—51no—
330C2×#102—51no—
331C2×#102—51no—
332C2×#102—51no—
333C2×#102—51no—
334C2×#102—51no—
335C2×#102—51no—
336C2×#102—51no—
337C2×C22⋊C8C2×D511yescharacteristic
338C2×C22⋊C8C2×D511yescharacteristic
339C2×#97C2×D511yescharacteristic
340C2×C4×C8C2×D511yescharacteristic
341C23×C5—22no—
342C23×C5—22no—
343C23×C5—22no—
344C23×C5C22×D412yes—
345C23×C5C22×D411yescharacteristic
346C22×D5—22no—
347C22×D5—22no—
348C22×D5—42no—
349C22×D5—42no—
350C22×D5—42no—
351C22×D5—42no—
352C22×D5—42no—
353C22×D5—42no—
354C2×C4×C5—22no—
355C2×C4×C5—22no—
356C2×C4×C5—22no—
357C2×C4×C5—22no—
358C2×C4×C5—22no—
359C2×C4×C5—24no—
360C2×C4×C5—22no—
361C2×C4×C5—22no—
362C2×C4×C5C22×D412yes—
363C2×C4×C5C22×D412yes—
364C2×C4×C5C22×D412yes—
365C2×C4×C5C22×D412yes—
366C2×C4×C5C22×D412yes—
367C2×C4×C5C22×D411yescharacteristic
368C2×C4×C52−1+412yes—
369C2×C4×C52−1+412yes—
370C2×C4×C5C2511yescharacteristic
371C22⋊D5—84no—
372C22⋊D5—84no—
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—22no—
376C2×Dic5—22no—
377C2×Dic5—22no—
378C2×Dic5—22no—
379C2×Dic5—42no—
380C2×Dic5—42no—
381C2×Dic5—42no—
382C2×Dic5—42no—
383C2×Dic5—42no—
384C2×Dic5—42no—
385C2×Dic5—84no—
386D20—22no—
387D20—22no—
388D20—22no—
389D20—22no—
390D20—42no—
391D20—42no—
392D20—84no—
393D20—84no—
394C4×D5—84no—
395C4×D5—84no—
396Dic10—84no—
397Dic10—84no—
398C5×C8—22no—
399C5×C8—22no—
400C5×C8—22no—
401C5×C8—22no—
402C22×Q8—101no—
403C22×Q8—101no—
404C22×D4—51no—
405C22×D4—51no—
406C22×D4—101no—
407C22×D4—101no—
408C22×D4—101no—
409C22×D4—101no—
410C23×C4—101no—
411C23×C4—101no—
412C23×C4—101no—
413C23×C4C22×D511yescharacteristic
414C22×C8C22×D511yescharacteristic
415C22×C8C22×D511yescharacteristic
416C22×C8C22×D511yescharacteristic
417C22×C8C22×D511yescharacteristic
418C4⋊Q8—54no—
419C4⋊Q8—54no—
420C4⋊Q8—108no—
421C4⋊Q8—102no—
422C4⋊Q8—102no—
423#127—54no—
424#127—102no—
425#125—54no—
426#125—54no—
427#125—54no—
428#125—108no—
429#125—102no—
430#125—102no—
431#125—102no—
432#123—108no—
433#123—108no—
434C22⋊Q8—108no—
435C22⋊Q8—108no—
436#121—54no—
437#121—54no—
438#121—102no—
439#121—102no—
440#121—108no—
441#121—108no—
442C4×D4—54no—
443C4×D4—54no—
444C4×D4—102no—
445C4×D4—102no—
446#117—54no—
447#117—102no—
448#117D2014yes—
449#117C22×D514yes—
450C2×C4⋊C4—51no—
451C2×C4⋊C4—51no—
452C2×C4⋊C4—54no—
453C2×C4⋊C4—51no—
454C2×C4⋊C4—51no—
455C2×C4⋊C4—51no—
456C2×C4⋊C4—51no—
457C2×C4⋊C4—101no—
458C2×C4⋊C4—102no—
459C2×C4⋊C4—101no—
460C2×C4⋊C4—101no—
461C2×C4⋊C4—101no—
462C2×C4⋊C4—101no—
463C2×C4⋊C4—101no—
464C2×C4⋊C4—101no—
465C2×C4⋊C4—101no—
466C2×C4⋊C4—101no—
467C2×C4⋊C4D2011yescharacteristic
468C2×C4⋊C4D2011yescharacteristic
469C2×C22⋊C4—101no—
470C2×C22⋊C4—101no—
471C2×C22⋊C4—101no—
472C2×C22⋊C4—101no—
473C2×C22⋊C4—101no—
474C2×C22⋊C4D2011yescharacteristic
475C2×C22⋊C4D2011yescharacteristic
476C2×C42—101no—
477C2×C42C22×D511yescharacteristic
478C2×C42C22×D511yescharacteristic
479#107—54no—
480#107—54no—
481#107—54no—
482#107—54no—
483#106—54no—
484#106—54no—
485#106—54no—
486#106—54no—
487C4⋊C8C22×D514yes—
488C4⋊C8C22×D514yes—
489#102—54no—
490#102—54no—
491#102—54no—
492#102—54no—
493#102—54no—
494#102—54no—
495#102—54no—
496#102—54no—
497C22⋊C8C22×D514yes—
498C22⋊C8C22×D514yes—
499#97C22×D514yes—
500C4×C8C22×D514yes—
501C22×C5—22no—
502C22×C5—22no—
503C22×C5—22no—
504C22×C5—44no—
505C22×C5#53612yes—
506C22×C5#57612yes—
507C22×C5#57712yes—
508C22×C5C23×D411yescharacteristic
509C2×D5—42no—
510C2×D5—42no—
511C2×D5—42no—
512C2×D5—42no—
513C2×D5—42no—
514C2×D5—42no—
515C2×D5—84no—
516C2×D5—84no—
517C4×C5—22no—
518C4×C5—22no—
519C4×C5—22no—
520C4×C5—22no—
521C4×C5—22no—
522C4×C5#53612yes—
523C4×C5C2×2−1+411yescharacteristic
524C4×C5C2×2−1+411yescharacteristic
525Dic5—42no—
526Dic5—42no—
527Dic5—42no—
528Dic5—42no—
529Dic5—42no—
530Dic5—42no—
531C24—101no—
532C24—101no—
533C24C2×D2011yescharacteristic
534C2×Q8—104no—
535C2×Q8—104no—
536C2×Q8—402no—
537C2×Q8—402no—
538C2×D4—52no—
539C2×D4—52no—
540C2×D4—104no—
541C2×D4—104no—
542C2×D4—101no—
543C2×D4—101no—
544C2×D4—104no—
545C2×D4—104no—
546C2×D4—102no—
547C2×D4—102no—
548C2×D4—102no—
549C2×D4—102no—
550C2×D4—402no—
551C2×D4—402no—
552C2×D4—402no—
553C2×D4—402no—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—101no—
557C22×C4—101no—
558C22×C4—101no—
559C22×C4—101no—
560C22×C4—101no—
561C22×C4—101no—
562C22×C4—104no—
563C22×C4—104no—
564C22×C4—104no—
565C22×C4—402no—
566C22×C4—402no—
567C22×C4—402no—
568C22×C4C2×D2012yes—
569C22×C4C2×D2011yescharacteristic
570C22×C4C2×D2011yescharacteristic
571C22×C4C2×D2011yescharacteristic
572C22×C4C2×D2011yescharacteristic
573C22×C4C2×D2011yescharacteristic
574C22×C4C23×D512yes—
575C22×C4C23×D511yescharacteristic
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—22no—
580C2×C8C23×D512yes—
581C2×C8C23×D512yes—
582C2×C8C23×D512yes—
583C2×C8C23×D512yes—
584C4⋊C4—52no—
585C4⋊C4—52no—
586C4⋊C4—52no—
587C4⋊C4—52no—
588C4⋊C4—52no—
589C4⋊C4—52no—
590C4⋊C4—104no—
591C4⋊C4—101no—
592C4⋊C4—101no—
593C4⋊C4—101no—
594C4⋊C4—101no—
595C4⋊C4—101no—
596C4⋊C4—101no—
597C4⋊C4—104no—
598C4⋊C4—104no—
599C4⋊C4—104no—
600C4⋊C4—104no—
601C4⋊C4—104no—
602C4⋊C4—104no—
603C4⋊C4—104no—
604C4⋊C4—104no—
605C4⋊C4C2×D2014yes—
606C4⋊C4C2×D2014yes—
607C22⋊C4—104no—
608C22⋊C4—104no—
609C22⋊C4—104no—
610C22⋊C4—104no—
611C22⋊C4—104no—
612C22⋊C4C2×D2014yes—
613C22⋊C4C2×D2014yes—
614C42—104no—
615C42C2×D2012yes—
616C42C2×D2012yes—
617C42C23×D512yes—
618C42C23×D512yes—
619C2×C5—42no—
620C2×C5#324114yescomplemented
621C2×C5C2×#53611yescharacteristic
622C2×C5C2×#57611yescharacteristic
623C2×C5C2×#57711yescharacteristic
624D5—82no—
625D5—82no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—102no—
630C23—102no—
631C23—202no—
632C23—202no—
633C23—202no—
634C23—202no—
635C23—202no—
636C23—202no—
637C23C22×D2012yes—
638C23C22×D2011yescharacteristic
639Q8—404no—
640Q8—404no—
641D4—102no—
642D4—102no—
643D4—102no—
644D4—102no—
645D4—202no—
646D4—202no—
647D4—404no—
648D4—404no—
649D4—404no—
650D4—404no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—102no—
660C2×C4—102no—
661C2×C4—102no—
662C2×C4—102no—
663C2×C4—102no—
664C2×C4—102no—
665C2×C4—202no—
666C2×C4—202no—
667C2×C4—202no—
668C2×C4—202no—
669C2×C4—202no—
670C2×C4—202no—
671C2×C4—404no—
672C2×C4—404no—
673C2×C4—404no—
674C2×C4C22×D2012yes—
675C2×C4C22×D2012yes—
676C2×C4C22×D2012yes—
677C2×C4C22×D2012yes—
678C2×C4C22×D2012yes—
679C2×C4C22×D2011yescharacteristic
680C2×C4#415012yes—
681C2×C4#415012yes—
682C2×C4C24×D511yescharacteristic
683C8—22no—
684C8—22no—
685C8—22no—
686C8—22no—
687C5C2×#324111yescharacteristic, complemented, Sylow
688C22—22no—
689C22—22no—
690C22—22no—
691C22—44no—
692C22—202no—
693C22—202no—
694C22—202no—
695C22—202no—
696C22—202no—
697C22—202no—
698C22—404no—
699C22—404no—
700C22#6586012yes—
701C22#6608512yes—
702C22#6608612yes—
703C22C23×D2011yescharacteristic
704C4—22no—
705C4—22no—
706C4—22no—
707C4—22no—
708C4—22no—
709C4—202no—
710C4—202no—
711C4—202no—
712C4—202no—
713C4—202no—
714C4—202no—
715C4#6586012yes—
716C4C2×#415011yescharacteristic
717C4C2×#415011yescharacteristic
718C2—42no—
719C2—402no—
720C2—402no—
721C2#1061109314yesdirect product factor
722C2C2×#6586011yescharacteristic
723C2C2×#6608611yescharacteristic
724C2C2×#6608511yescharacteristic
subgroupG/H
centerC23C22×D20
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#433C2
socleC23×C5C22×D4
prime radicalC2×#65869C2
hypercenterC2×#433D5
hypocenterC5C2×#3241
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
2. C2×#65853C2semidirect
3. C2×C5×#433C2semidirect
4. #10611093C2direct (N × H)
5. C2×#65136C2semidirect
6. C2×#65136C2semidirect
7. C2×#65131C2semidirect
8. C2×#65135C2semidirect
9. C2×#65024C2semidirect
10. C2×#65026C2semidirect
11. C2×#65026C2semidirect
12. C2×#65025C2semidirect
13. C2×#65002C2semidirect
14. C2×#64991C2semidirect
15. C2×#64983C2semidirect
16. C2×#64972C2semidirect
25. #65853C22semidirect
42. C5×#433C22semidirect
65. #65136C22semidirect
66. #65136C22semidirect
67. #65135C22semidirect
68. #65131C22semidirect
69. #65026C22semidirect
70. #65026C22semidirect
71. #65025C22semidirect
72. #65024C22semidirect
73. #65002C22semidirect
74. #64991C22semidirect
75. #64983C22semidirect
76. #64972C22semidirect
192. C2×#433D5semidirect
318. #433C2×D5semidirect
620. C2×C5#3241semidirect
687. C5C2×#3241semidirect
721. C2#10611093direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#658692
C2×#658532
C2×C5×#4332
#106110932
C2×#651362
C2×#651312
C2×#651352
C2×#650242
C2×#650262
C2×#650252
C2×#650022
C2×#649912
C2×#649832
C2×#649722
C2×#32415