Finite Group Databasebeta

← C2×#10612254 #12979062

Subgroups — C2×#10612254 #12979062

Order 1280.

1886 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66005C211yesmaximal, characteristic, complemented
2C2×#65877C211yesmaximal, characteristic, complemented
3C2×C5×#463C211yesmaximal, characteristic
4C2×#65451C211yesmaximal, characteristic, complemented
5C2×SD16×Dic5C211yesmaximal, characteristic, complemented
6C2×#65442C211yesmaximal, characteristic
7C2×#65441C211yesmaximal, characteristic
8C2×#65344C211yesmaximal, characteristic, complemented
9C2×#65307C211yesmaximal, characteristic, complemented
10#10612254C2116yesmaximal, direct product factor
11C2×#65140C211yesmaximal, characteristic, complemented
12C2×#65117C211yesmaximal, characteristic, complemented
13C2×#65086C211yesmaximal, characteristic, complemented
14C2×#65088C211yesmaximal, characteristic, complemented
15C2×#65057C211yesmaximal, characteristic, complemented
16C2×#65052C211yesmaximal, characteristic, complemented
17C22×C5×SD16C2211yescharacteristic
18C22×C5×D8C2211yescharacteristic
19C2×C5×#124C2211yescharacteristic
20C2×C4×C5×D4C2211yescharacteristic
21C2×Q8×Dic5C2211yescharacteristic
22C2×#4090C2211yescharacteristic
23C2×#4082C2211yescharacteristic
24C2×D4×Dic5C2211yescharacteristic
25C2×D4×Dic5C2211yescharacteristic
26C2×D4×Dic5C2211yescharacteristic
27C22×#687C2211yescharacteristic
28C22×C4⋊Dic5—21no—
29C2×#4070—21no—
30#66005—24no—
31#66005C2218yescomplemented
32#65877—24no—
33#65877C2218yescomplemented
34C2×#4036C2211yescharacteristic
35C2×#4036C2211yescharacteristic
36C2×#4025—21no—
37C2×#4025—21no—
38C2×#4024—21no—
39C2×#4024—21no—
40C2×#4024—21no—
41C2×#4023—21no—
42C2×#4015C2211yescharacteristic
43C2×C4×Dic10C2211yescharacteristic
44C2×C4×Dic10C2211yescharacteristic
45C5×#463C2218yes—
46C2×C5×C4⋊C8C2211yescharacteristic
47C2×C5×#103C2211yescharacteristic
48C2×C5×#102C2211yescharacteristic
49C2×#3967C2211yescharacteristic
50C2×#3967C2211yescharacteristic
51C2×#3964C2211yescharacteristic
52C2×#3964C2211yescharacteristic
53C2×#3964C2211yescharacteristic
54#65451C2218yescomplemented
55SD16×Dic5C2218yescomplemented
56#65442C2218yes—
57#65441C2218yes—
58C2×#3949C2211yescharacteristic
59C2×#3949C2211yescharacteristic
60C2×#3948C2211yescharacteristic
61C2×#3948C2211yescharacteristic
62C2×#3947C2211yescharacteristic
63C2×#3946C2211yescharacteristic
64C2×#3946C2211yescharacteristic
65C2×C8×Dic5C2211yescharacteristic
66#65344C2218yescomplemented
67#65307C2218yescomplemented
68C2×#3942C2211yescharacteristic
69C2×#3939C2211yescharacteristic
70C2×#3935C2211yescharacteristic
71#65140C2218yescomplemented
72#65117C2218yescomplemented
73#65088C2218yescomplemented
74#65086C2218yescomplemented
75#65057C2218yescomplemented
76#65052C2218yescomplemented
77C2×#3376—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×D4C2311yescharacteristic
80C22×C5×D4C2311yescharacteristic
81C23×C4×C5—21no—
82C23×Dic5—21no—
83C23×Dic5—21no—
84C23×Dic5—21no—
85C22×Dic10—21no—
86C22×Dic10D411yescharacteristic
87C22×Dic10C2311yescharacteristic
88C2×C5×SD16—24no—
89C2×C5×SD16C2314yes—
90C2×C5×D8—24no—
91C2×C5×D8C2314yes—
92C22×C5×C8C2311yescharacteristic
93C22×C5×C8C2311yescharacteristic
94C5×#124—22no—
95C5×#124C2314yes—
96C4×C5×D4—22no—
97C4×C5×D4C2314yes—
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C22⋊C4—21no—
100C2×C5×C22⋊C4—21no—
101C2×C5×C22⋊C4—21no—
102C2×C42×C5C2311yescharacteristic
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5—21no—
105C2×C22⋊Dic5—21no—
106C2×C22⋊Dic5—21no—
107C2×C22⋊Dic5—21no—
108Q8×Dic5—22no—
109Q8×Dic5C2314yes—
110#4090—22no—
111#4090C2314yes—
112#4082—22no—
113#4082C2314yes—
114D4×Dic5—22no—
115D4×Dic5—22no—
116D4×Dic5—22no—
117D4×Dic5C2314yes—
118D4×Dic5C2314yes—
119D4×Dic5C2314yes—
120C2×#687—24no—
121C2×#687C2314yes—
122C2×C4⋊Dic5—21no—
123C2×C4⋊Dic5—21no—
124C2×C4⋊Dic5—21no—
125C2×C4⋊Dic5—21no—
126C2×C4⋊Dic5—28no—
127C2×C4⋊Dic5D411yescharacteristic
128C2×C4⋊Dic5C2311yescharacteristic
129C2×C4⋊Dic5C2311yescharacteristic
130C2×C4⋊Dic5C2311yescharacteristic
131#4070—28no—
132C2×#683—21no—
133C2×#683—21no—
134C2×#683—21no—
135C2×#683—21no—
136C2×#683—21no—
137C2×#683D411yescharacteristic
138C2×#683D411yescharacteristic
139C2×C4×Dic5—21no—
140C2×C4×Dic5—21no—
141C2×C4×Dic5C2311yescharacteristic
142C2×C4×Dic5C2311yescharacteristic
143C22×#168C2311yescharacteristic
144C22×#168C2311yescharacteristic
145#4036—22no—
146#4036—22no—
147#4036C2314yes—
148#4036C2314yes—
149#4025—28no—
150#4025—28no—
151#4024—28no—
152#4024—28no—
153#4024—28no—
154#4023—28no—
155#4015—22no—
156#4015C2314yes—
157C4×Dic10—22no—
158C4×Dic10D414yes—
159C4×Dic10C2314yes—
160C4×Dic10C2314yes—
161C5×C4⋊C8C2314yes—
162C5×#103C2314yes—
163C5×#102C2314yes—
164#3967C2314yes—
165#3967C2314yes—
166#3964C2314yes—
167#3964C2314yes—
168#3964C2314yes—
169#3949C2314yes—
170#3949C2314yes—
171#3948C2314yes—
172#3948C2314yes—
173#3947C2314yes—
174#3946C2314yes—
175#3946C2314yes—
176C8×Dic5C2314yes—
177#3942C2314yes—
178#3939C2314yes—
179#3935C2314yes—
180C2×#556—51no—
181C2×#554—51no—
182#3376—516no—
183C2×#491—51no—
184C2×#489—51no—
185C2×#488—51no—
186C2×#479—51no—
187C2×#475—51no—
188C2×#478—51no—
189C2×#463—51no—
190C2×#463D511yescharacteristic
191C2×#461—51no—
192C2×#446—51no—
193C2×#442—51no—
194C2×#440—51no—
195C2×C4×SD16—51no—
196C24×C5—21no—
197C24×C5—21no—
198C2×C5×Q8—21no—
199C2×C5×Q8—22no—
200C2×C5×Q8—22no—
201C2×C5×Q8C2412yes—
202C2×C5×D4—21no—
203C2×C5×D4—21no—
204C2×C5×D4—22no—
205C2×C5×D4—22no—
206C2×C5×D4—22no—
207C2×C5×D4#4114yes—
208C2×C5×D4C2412yes—
209C2×C5×D4C2412yes—
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
217C22×Dic5—21no—
218C22×Dic5—21no—
219C22×Dic5—21no—
220C22×Dic5—21no—
221C22×Dic5—24no—
222C22×Dic5—24no—
223C22×Dic5—24no—
224C22×Dic5—44no—
225C22×Dic5—82no—
226C22×Dic5—82no—
227C22×Dic5C2×D411yescharacteristic
228C22×Dic5C2×D411yescharacteristic
229C22×Dic5C2×D411yescharacteristic
230C22×Dic5C2×D411yescharacteristic
231C2×Dic10—22no—
232C2×Dic10—22no—
233C2×Dic10—21no—
234C2×Dic10—24no—
235C2×Dic10—42no—
236C2×Dic10—82no—
237C2×Dic10C2×D414yes—
238C2×Dic10C2412yes—
239C5×SD16—28no—
240C5×D8—28no—
241C2×C5×C8—22no—
242C2×C5×C8—22no—
243C2×C5×C8C2412yes—
244C2×C5×C8C2412yes—
245C5×C4⋊C4—21no—
246C5×C4⋊C4C2412yes—
247C5×C22⋊C4—24no—
248C5×C22⋊C4—24no—
249C5×C22⋊C4—24no—
250C42×C5C2×D412yes—
251C42×C5C2412yes—
252C22⋊Dic5—24no—
253C22⋊Dic5—24no—
254C22⋊Dic5—24no—
255C22⋊Dic5—24no—
256C22⋊Dic5—24no—
257#687—28no—
258C4⋊Dic5—21no—
259C4⋊Dic5—21no—
260C4⋊Dic5—21no—
261C4⋊Dic5—24no—
262C4⋊Dic5—24no—
263C4⋊Dic5—24no—
264C4⋊Dic5—24no—
265C4⋊Dic5C2×D414yes—
266C4⋊Dic5C2412yes—
267C4⋊Dic5C2412yes—
268C4⋊Dic5C2412yes—
269#683—24no—
270#683—24no—
271#683—24no—
272#683—24no—
273#683—24no—
274#683C2×D414yes—
275#683C2×D414yes—
276C4×Dic5—24no—
277C4×Dic5—24no—
278C4×Dic5C2×D412yes—
279C4×Dic5C2×D412yes—
280C4×Dic5C2412yes—
281C4×Dic5C2412yes—
282C2×#168—22no—
283C2×#168—22no—
284C2×#168C2412yes—
285C2×#168C2412yes—
286C22×SD16—51no—
287C22×SD16C2×D511yescharacteristic
288C22×D8C2×D511yescharacteristic
289#556—58no—
290#556—104no—
291#554—58no—
292#554—104no—
293C2×C4⋊Q8—51no—
294C2×C4⋊Q8—51no—
295C2×#126—101no—
296C2×#126—101no—
297C2×#125—51no—
298C2×#125—51no—
299C2×#124—51no—
300C2×#124C2×D511yescharacteristic
301C2×C22⋊Q8—101no—
302C2×C22⋊Q8—101no—
303C2×C22⋊Q8—101no—
304C2×C22⋊Q8—101no—
305C2×C4×Q8—51no—
306C2×C4×Q8—51no—
307C2×C4×Q8—51no—
308C2×C4×D4—51no—
309C2×C4×D4—51no—
310C2×C4×D4—51no—
311C2×C4×D4C2×D511yescharacteristic
312C2×#117—101no—
313C22×C4⋊C4—101no—
314#491—58no—
315#489—58no—
316#488—58no—
317#479—58no—
318#478—58no—
319#475—58no—
320#463—58no—
321#463C2×D518yes—
322#461—58no—
323#446—58no—
324#442—58no—
325#440—58no—
326C4×SD16—58no—
327C2×#107—51no—
328C2×#106—51no—
329C2×#106—51no—
330C2×C4⋊C8—51no—
331C2×C4⋊C8—51no—
332C2×C4⋊C8C2×D511yescharacteristic
333C2×#103—51no—
334C2×#103—51no—
335C2×#103—51no—
336C2×#103—51no—
337C2×#103—51no—
338C2×#103C2×D511yescharacteristic
339C2×#102—51no—
340C2×#102—51no—
341C2×#102—51no—
342C2×#102C2×D511yescharacteristic
343C2×#97—51no—
344C2×#97—51no—
345C2×C4×C8—51no—
346C23×C5—24no—
347C23×C5—22no—
348C23×C5—22no—
349C23×C5—42no—
350C23×C5—42no—
351C23×C5—42no—
352C23×C5—42no—
353C23×C5—42no—
354C23×C5C22×D411yescharacteristic
355C5×Q8—22no—
356C5×Q8—22no—
357C5×Q8—42no—
358C5×D4—24no—
359C5×D4—22no—
360C5×D4—22no—
361C5×D4—22no—
362C5×D4—42no—
363C5×D4C2×#4114yes—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—22no—
368C2×C4×C5—48no—
369C2×C4×C5—42no—
370C2×C4×C5—42no—
371C2×C4×C5C22×D412yes—
372C2×C4×C5C22×D412yes—
373C2×C4×C5C22×D411yescharacteristic
374C2×C4×C5C2×#4112yes—
375C2×C4×C52−1+412yes—
376C2×C4×C5C2511yescharacteristic
377C2×Dic5—22no—
378C2×Dic5—22no—
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—48no—
386C2×Dic5—42no—
387C2×Dic5—42no—
388C2×Dic5—42no—
389C2×Dic5—42no—
390C2×Dic5—84no—
391C2×Dic5—84no—
392C2×Dic5C22×D412yes—
393C2×Dic5C22×D412yes—
394C2×Dic5C22×D412yes—
395C2×Dic5C22×D412yes—
396Dic10—22no—
397Dic10—22no—
398Dic10—44no—
399Dic10—42no—
400Dic10—84no—
401C5×C8—22no—
402C5×C8—22no—
403#168—22no—
404#168—22no—
405C22×Q8—51no—
406C22×Q8—51no—
407C22×Q8—101no—
408C22×Q8C22×D511yescharacteristic
409C22×D4C22×D511yescharacteristic
410C22×D4C22×D511yescharacteristic
411C23×C4—21no—
412C23×C4—101no—
413C23×C4—101no—
414C23×C4—101no—
415C2×SD16—24no—
416C2×SD16—54no—
417C2×SD16—104no—
418C2×SD16C22×D514yes—
419C2×D8—24no—
420C2×D8C22×D514yes—
421C22×C8—51no—
422C22×C8—51no—
423C22×C8C22×D511yescharacteristic
424C22×C8C22×D511yescharacteristic
425C4⋊Q8—54no—
426C4⋊Q8—54no—
427C4⋊Q8—102no—
428C4⋊Q8—102no—
429#126—108no—
430#126—108no—
431#125—54no—
432#125—54no—
433#125—102no—
434#125—102no—
435#124—22no—
436#124—54no—
437#124—102no—
438#124C22×D514yes—
439C22⋊Q8—108no—
440C22⋊Q8—108no—
441C22⋊Q8—108no—
442C22⋊Q8—108no—
443C4×Q8—54no—
444C4×Q8—54no—
445C4×Q8—54no—
446C4×Q8—54no—
447C4×Q8—102no—
448C4×Q8—102no—
449C4×D4—22no—
450C4×D4—54no—
451C4×D4—54no—
452C4×D4—54no—
453C4×D4—102no—
454C4×D4—102no—
455C4×D4—102no—
456C4×D4C22×D514yes—
457#117—108no—
458C2×C4⋊C4—51no—
459C2×C4⋊C4—51no—
460C2×C4⋊C4—51no—
461C2×C4⋊C4—51no—
462C2×C4⋊C4—51no—
463C2×C4⋊C4—51no—
464C2×C4⋊C4—108no—
465C2×C4⋊C4—101no—
466C2×C4⋊C4—101no—
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×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—101no—
479C2×C22⋊C4—101no—
480C2×C22⋊C4—101no—
481C2×C22⋊C4—101no—
482C2×C22⋊C4—101no—
483C2×C42—51no—
484C2×C42—51no—
485C2×C42—101no—
486C2×C42—101no—
487C2×C42C22×D511yescharacteristic
488#107—54no—
489#106—54no—
490#106—54no—
491C4⋊C8—54no—
492C4⋊C8—54no—
493C4⋊C8C22×D514yes—
494#103—54no—
495#103—54no—
496#103—54no—
497#103—54no—
498#103—54no—
499#103C22×D514yes—
500#102—54no—
501#102—54no—
502#102—54no—
503#102C22×D514yes—
504#97—54no—
505#97—54no—
506C4×C8—54no—
507C22×C5—24no—
508C22×C5—48no—
509C22×C5—42no—
510C22×C5—42no—
511C22×C5—42no—
512C22×C5—42no—
513C22×C5—42no—
514C22×C5—84no—
515C22×C5#54812yes—
516C22×C5#57512yes—
517C22×C5#57712yes—
518C22×C5C23×D411yescharacteristic
519C4×C5—22no—
520C4×C5—22no—
521C4×C5—42no—
522C4×C5—42no—
523C4×C5#54812yes—
524C4×C5C22×#4111yescharacteristic
525C4×C5C2×2−1+411yescharacteristic
526Dic5—22no—
527Dic5—22no—
528Dic5—22no—
529Dic5—22no—
530Dic5—42no—
531Dic5—42no—
532Dic5—42no—
533Dic5—42no—
534C24—21no—
535C24—21no—
536C2×Q8—21no—
537C2×Q8—22no—
538C2×Q8—22no—
539C2×Q8—54no—
540C2×Q8—52no—
541C2×Q8—101no—
542C2×Q8—104no—
543C2×Q8—102no—
544C2×Q8—102no—
545C2×Q8—202no—
546C2×Q8—402no—
547C2×Q8C23×D512yes—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4#71114yes—
554C2×D4C23×D512yes—
555C2×D4C23×D512yes—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—24no—
559C22×C4—44no—
560C22×C4—51no—
561C22×C4—51no—
562C22×C4—51no—
563C22×C4—51no—
564C22×C4—104no—
565C22×C4—104no—
566C22×C4—104no—
567C22×C4—101no—
568C22×C4—101no—
569C22×C4—101no—
570C22×C4—101no—
571C22×C4—204no—
572C22×C4—402no—
573C22×C4—402no—
574C22×C4D4×D511yescharacteristic
575C22×C4D4×D511yescharacteristic
576C22×C4C23×D511yescharacteristic
577SD16—28no—
578SD16—108no—
579D8—28no—
580C2×C8—22no—
581C2×C8—22no—
582C2×C8—52no—
583C2×C8—52no—
584C2×C8—102no—
585C2×C8—102no—
586C2×C8C23×D512yes—
587C2×C8C23×D512yes—
588C4⋊C4—21no—
589C4⋊C4—54no—
590C4⋊C4—54no—
591C4⋊C4—54no—
592C4⋊C4—52no—
593C4⋊C4—52no—
594C4⋊C4—52no—
595C4⋊C4—104no—
596C4⋊C4—104no—
597C4⋊C4—104no—
598C4⋊C4—104no—
599C4⋊C4—104no—
600C4⋊C4—104no—
601C4⋊C4—104no—
602C4⋊C4—101no—
603C4⋊C4—101no—
604C4⋊C4—101no—
605C4⋊C4—104no—
606C4⋊C4—104no—
607C4⋊C4C23×D512yes—
608C22⋊C4—24no—
609C22⋊C4—24no—
610C22⋊C4—24no—
611C22⋊C4—104no—
612C22⋊C4—104no—
613C22⋊C4—104no—
614C22⋊C4—104no—
615C22⋊C4—104no—
616C42—52no—
617C42—52no—
618C42—52no—
619C42—52no—
620C42—104no—
621C42—104no—
622C42D4×D512yes—
623C42C23×D512yes—
624C2×C5—44no—
625C2×C5—82no—
626C2×C5#337614yescomplemented
627C2×C5C2×#54811yescharacteristic
628C2×C5C2×#57511yescharacteristic
629C2×C5C2×#57711yescharacteristic
630C23—24no—
631C23—22no—
632C23—22no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23C2×D4×D511yescharacteristic
639Q8—22no—
640Q8—22no—
641Q8—42no—
642Q8—102no—
643Q8—102no—
644Q8—204no—
645Q8—202no—
646Q8—404no—
647D4—24no—
648D4—22no—
649D4—22no—
650D4—22no—
651D4—42no—
652D4C2×#71114yes—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—48no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—52no—
661C2×C4—52no—
662C2×C4—52no—
663C2×C4—52no—
664C2×C4—102no—
665C2×C4—102no—
666C2×C4—102no—
667C2×C4—102no—
668C2×C4—102no—
669C2×C4—102no—
670C2×C4—102no—
671C2×C4—102no—
672C2×C4—208no—
673C2×C4—202no—
674C2×C4—202no—
675C2×C4—202no—
676C2×C4—202no—
677C2×C4—404no—
678C2×C4—404no—
679C2×C4C2×D4×D512yes—
680C2×C4C2×D4×D512yes—
681C2×C4C2×D4×D511yescharacteristic
682C2×C4C2×#71112yes—
683C2×C4#415012yes—
684C2×C4C24×D511yescharacteristic
685C8—22no—
686C8—22no—
687C8—102no—
688C8—102no—
689C5C2×#337611yescharacteristic, complemented, Sylow
690C22—24no—
691C22—48no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—84no—
698C22#6593212yes—
699C22#6610412yes—
700C22#6610712yes—
701C22C22×D4×D511yescharacteristic
702C4—22no—
703C4—22no—
704C4—42no—
705C4—42no—
706C4—102no—
707C4—102no—
708C4—102no—
709C4—102no—
710C4—202no—
711C4—202no—
712C4—202no—
713C4—202no—
714C4#6593212yes—
715C4C22×#71111yescharacteristic
716C4C2×#415011yescharacteristic
717C2—44no—
718C2—82no—
719C2#1061225414yesdirect product factor
720C2C2×#6593211yescharacteristic
721C2C2×#6610411yescharacteristic
722C2C2×#6610711yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#463C2
socleC23×C5C22×D4
prime radicalC22×C5×D8C22
hypercenterC2×#463D5
hypocenterC5C2×#3376
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#463

Complements

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

NH ≅ G/Ntype
1. C2×#66005C2semidirect
2. C2×#65877C2semidirect
4. C2×#65451C2semidirect
5. C2×SD16×Dic5C2semidirect
8. C2×#65344C2semidirect
9. C2×#65307C2semidirect
10. #10612254C2direct (N × H)
11. C2×#65140C2semidirect
12. C2×#65117C2semidirect
13. C2×#65086C2semidirect
14. C2×#65088C2semidirect
15. C2×#65057C2semidirect
16. C2×#65052C2semidirect
31. #66005C22semidirect
33. #65877C22semidirect
54. #65451C22semidirect
55. SD16×Dic5C22semidirect
66. #65344C22semidirect
67. #65307C22semidirect
71. #65140C22semidirect
72. #65117C22semidirect
73. #65088C22semidirect
74. #65086C22semidirect
75. #65057C22semidirect
76. #65052C22semidirect
626. C2×C5#3376semidirect
689. C5C2×#3376semidirect
719. C2#10612254direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660052
C2×#658772
C2×C5×#4632
C2×#654512
C2×SD16×Dic52
C2×#654422
C2×#654412
C2×#653442
C2×#653072
#106122542
C2×#651402
C2×#651172
C2×#650862
C2×#650882
C2×#650572
C2×#650522
C2×#33765