Finite Group Databasebeta

← C2×#10609222 #12268822

Subgroups — C2×#10609222 #12268822

Order 1280.

2702 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#4024C211yesmaximal, characteristic
2C22×#4023C211yesmaximal, characteristic
3C2×C5×#397C211yesmaximal, characteristic
4C2×#65270C211yesmaximal, characteristic, complemented
5C2×#65265C211yesmaximal, characteristic, complemented
6C2×#65242C211yesmaximal, characteristic
7C2×#65241C211yesmaximal, characteristic
8C2×#65241C211yesmaximal, characteristic
9C2×C22⋊C4×Dic5C211yesmaximal, characteristic
10#10609222C2116yesmaximal, direct product factor
11C2×#64935C211yesmaximal, characteristic, complemented
12C2×#64935C211yesmaximal, characteristic, complemented
13C2×#64944C211yesmaximal, characteristic, complemented
14C2×#64943C211yesmaximal, characteristic, complemented
15C2×#64941C211yesmaximal, characteristic, complemented
16C2×#64939C211yesmaximal, characteristic, complemented
17C24×Dic5C2211yescharacteristic
18C23×Dic10C2211yescharacteristic
19C22×C5×C4⋊C4C2211yescharacteristic
20C22×C5×C22⋊C4C2211yescharacteristic
21C22×C5×C22⋊C4C2211yescharacteristic
22C22×C5×C22⋊C4C2211yescharacteristic
23C22×C22⋊Dic5C2211yescharacteristic
24C22×C22⋊Dic5C2211yescharacteristic
25C22×C22⋊Dic5C2211yescharacteristic
26C22×C4⋊Dic5C2211yescharacteristic
27C22×C4⋊Dic5C2211yescharacteristic
28C22×#683C2211yescharacteristic
29C22×#683C2211yescharacteristic
30C22×#683C2211yescharacteristic
31C22×#683C2211yescharacteristic
32C22×#683C2211yescharacteristic
33C22×#683C2211yescharacteristic
34C22×C4×Dic5C2211yescharacteristic
35C22×C4×Dic5C2211yescharacteristic
36C22×C4×Dic5C2211yescharacteristic
37C22×C4×Dic5C2211yescharacteristic
38C2×#4024—28no—
39C2×#4024C2218yes—
40C2×#4023—28no—
41C2×#4023C2218yes—
42C5×#397C2218yes—
43C2×C5×#95C2211yescharacteristic
44C2×C5×#95C2211yescharacteristic
45C2×C5×#95C2211yescharacteristic
46C2×#3963C2211yescharacteristic
47C2×#3963C2211yescharacteristic
48C2×#3963C2211yescharacteristic
49C2×#3963C2211yescharacteristic
50C2×#3963C2211yescharacteristic
51C2×#3963C2211yescharacteristic
52C2×#3963C2211yescharacteristic
53C2×#3963C2211yescharacteristic
54C2×#3963C2211yescharacteristic
55C2×#3963C2211yescharacteristic
56C2×#3963C2211yescharacteristic
57#65270C2218yescomplemented
58#65265C2218yescomplemented
59#65242C2218yes—
60#65241C2218yes—
61#65241C2218yes—
62C22⋊C4×Dic5C2218yes—
63#64944C2218yescomplemented
64#64943C2218yescomplemented
65#64941C2218yescomplemented
66#64939C2218yescomplemented
67#64935C2218yescomplemented
68#64935C2218yescomplemented
69C2×#2499—51nomaximal, Sylow
70C25×C5C2311yescharacteristic
71C23×C4×C5C2311yescharacteristic
72C23×C4×C5C2311yescharacteristic
73C23×C4×C5C2311yescharacteristic
74C23×C4×C5C2311yescharacteristic
75C23×C4×C5C2311yescharacteristic
76C23×C4×C5C2311yescharacteristic
77C23×Dic5—24no—
78C23×Dic5—24no—
79C23×Dic5D418yes—
80C23×Dic5C2311yescharacteristic
81C23×Dic5C2311yescharacteristic
82C23×Dic5C2311yescharacteristic
83C23×Dic5C2311yescharacteristic
84C23×Dic5C2311yescharacteristic
85C23×Dic5C2314yes—
86C23×Dic5C2311yescharacteristic
87C23×Dic5C2311yescharacteristic
88C23×Dic5C2311yescharacteristic
89C22×Dic10—24no—
90C22×Dic10—24no—
91C22×Dic10—24no—
92C22×Dic10C2314yes—
93C2×C5×C4⋊C4—24no—
94C2×C5×C4⋊C4C2314yes—
95C2×C5×C22⋊C4—24no—
96C2×C5×C22⋊C4—24no—
97C2×C5×C22⋊C4—24no—
98C2×C5×C22⋊C4C2314yes—
99C2×C5×C22⋊C4C2314yes—
100C2×C5×C22⋊C4C2314yes—
101C2×C22⋊Dic5—24no—
102C2×C22⋊Dic5—24no—
103C2×C22⋊Dic5—24no—
104C2×C22⋊Dic5C2314yes—
105C2×C22⋊Dic5C2314yes—
106C2×C22⋊Dic5C2314yes—
107C2×C4⋊Dic5—24no—
108C2×C4⋊Dic5—24no—
109C2×C4⋊Dic5C2314yes—
110C2×C4⋊Dic5C2314yes—
111C2×#683—24no—
112C2×#683—24no—
113C2×#683—24no—
114C2×#683—24no—
115C2×#683—24no—
116C2×#683—24no—
117C2×#683C2314yes—
118C2×#683C2314yes—
119C2×#683C2314yes—
120C2×#683C2314yes—
121C2×#683C2314yes—
122C2×#683C2314yes—
123C2×C4×Dic5—24no—
124C2×C4×Dic5—24no—
125C2×C4×Dic5—24no—
126C2×C4×Dic5—24no—
127C2×C4×Dic5C2314yes—
128C2×C4×Dic5C2314yes—
129C2×C4×Dic5C2314yes—
130C2×C4×Dic5C2314yes—
131#4024—232no—
132#4023—232no—
133C5×#95C2314yes—
134C5×#95C2314yes—
135C5×#95C2314yes—
136#3963C2314yes—
137#3963C2314yes—
138#3963C2314yes—
139#3963C2314yes—
140#3963C2314yes—
141#3963C2314yes—
142#3963C2314yes—
143#3963C2314yes—
144#3963C2314yes—
145#3963C2314yes—
146#3963C2314yes—
147C22×C22⋊Q8—51no—
148C22×#117—51no—
149#2499—516no—
150C2×#397—51no—
151C2×#397—51no—
152C2×#397—51no—
153C2×#397D511yescharacteristic
154C2×#391—51no—
155C2×#391—51no—
156C2×#387—51no—
157C2×#387—51no—
158C2×#387—51no—
159C2×#387—51no—
160C2×#384—51no—
161C2×#382—51no—
162C2×C4×C22⋊C4—51no—
163C24×C5—22no—
164C24×C5—22no—
165C24×C5—22no—
166C24×C5—22no—
167C24×C5—22no—
168C24×C5—22no—
169C24×C5C2×D414yes—
170C24×C5C2412yes—
171C24×C5C2411yescharacteristic
172C22×C4×C5—22no—
173C22×C4×C5—22no—
174C22×C4×C5—22no—
175C22×C4×C5—22no—
176C22×C4×C5—22no—
177C22×C4×C5—22no—
178C22×C4×C5—22no—
179C22×C4×C5—22no—
180C22×C4×C5—22no—
181C22×C4×C5—22no—
182C22×C4×C5—22no—
183C22×C4×C5—22no—
184C22×C4×C5—22no—
185C22×C4×C5—22no—
186C22×C4×C5—22no—
187C22×C4×C5—22no—
188C22×C4×C5—22no—
189C22×C4×C5#4114yes—
190C22×C4×C5C2412yes—
191C22×C4×C5C2412yes—
192C22×C4×C5C2412yes—
193C22×C4×C5C2412yes—
194C22×C4×C5C2412yes—
195C22×C4×C5C2412yes—
196C22×Dic5—22no—
197C22×Dic5—22no—
198C22×Dic5—22no—
199C22×Dic5—22no—
200C22×Dic5—232no—
201C22×Dic5—28no—
202C22×Dic5—28no—
203C22×Dic5—22no—
204C22×Dic5—22no—
205C22×Dic5—22no—
206C22×Dic5—22no—
207C22×Dic5—22no—
208C22×Dic5—22no—
209C22×Dic5—22no—
210C22×Dic5—22no—
211C22×Dic5—22no—
212C22×Dic5—22no—
213C22×Dic5—22no—
214C22×Dic5—22no—
215C22×Dic5—22no—
216C22×Dic5—22no—
217C22×Dic5—22no—
218C22×Dic5C2×D4116yes—
219C22×Dic5C2×D414yes—
220C22×Dic5C2×D414yes—
221C22×Dic5#4114yes—
222C22×Dic5#4114yes—
223C22×Dic5#4114yes—
224C22×Dic5C2412yes—
225C22×Dic5C2412yes—
226C22×Dic5C2412yes—
227C22×Dic5C2412yes—
228C22×Dic5C2412yes—
229C22×Dic5C2412yes—
230C22×Dic5C2412yes—
231C22×Dic5C2412yes—
232C2×Dic10—28no—
233C2×Dic10—28no—
234C2×Dic10—28no—
235C2×Dic10—416no—
236C5×C4⋊C4—28no—
237C5×C22⋊C4—28no—
238C5×C22⋊C4—28no—
239C5×C22⋊C4—28no—
240C22⋊Dic5—28no—
241C22⋊Dic5—28no—
242C22⋊Dic5—28no—
243C4⋊Dic5—28no—
244C4⋊Dic5—28no—
245#683—28no—
246#683—28no—
247#683—28no—
248#683—28no—
249#683—28no—
250#683—28no—
251C4×Dic5—28no—
252C4×Dic5—28no—
253C4×Dic5—28no—
254C4×Dic5—28no—
255C23×Q8—51no—
256C24×C4—51no—
257C2×C22⋊Q8—58no—
258C2×C22⋊Q8—108no—
259C2×#117—58no—
260C2×#117—108no—
261C22×C4⋊C4—51no—
262C22×C4⋊C4—51no—
263C22×C4⋊C4—51no—
264C22×C4⋊C4—51no—
265C22×C4⋊C4—51no—
266C22×C4⋊C4—51no—
267C22×C4⋊C4—51no—
268C22×C4⋊C4—51no—
269C22×C4⋊C4C2×D511yescharacteristic
270C22×C22⋊C4—51no—
271C22×C22⋊C4—51no—
272C22×C22⋊C4—51no—
273C22×C22⋊C4C2×D511yescharacteristic
274C22×C22⋊C4C2×D511yescharacteristic
275C22×C22⋊C4C2×D511yescharacteristic
276C22×C42—51no—
277C22×C42—51no—
278C22×C42—51no—
279C22×C42—51no—
280#397—58no—
281#397—58no—
282#397—58no—
283#397C2×D518yes—
284#391—58no—
285#391—58no—
286#387—58no—
287#387—58no—
288#387—58no—
289#387—58no—
290#384—58no—
291#382—58no—
292C4×C22⋊C4—58no—
293C2×#95—51no—
294C2×#95—51no—
295C2×#95—51no—
296C2×#95—51no—
297C2×#95—51no—
298C2×#95—51no—
299C2×#95—51no—
300C2×#95—51no—
301C2×#95—51no—
302C2×#95—51no—
303C2×#95—51no—
304C2×#95C2×D511yescharacteristic
305C2×#95C2×D511yescharacteristic
306C2×#95C2×D511yescharacteristic
307C23×C5—28no—
308C23×C5—28no—
309C23×C5—28no—
310C23×C5—22no—
311C23×C5—22no—
312C23×C5—22no—
313C23×C5—22no—
314C23×C5—22no—
315C23×C5—22no—
316C23×C5—44no—
317C23×C5—44no—
318C23×C5—44no—
319C23×C5—44no—
320C23×C5C22×D414yes—
321C23×C5C22×D412yes—
322C23×C5C2×#4112yes—
323C23×C5C2×#4112yes—
324C23×C5C2×#4112yes—
325C23×C5C2×#4112yes—
326C23×C52−1+412yes—
327C23×C52−1+412yes—
328C23×C5C2511yescharacteristic
329C2×C4×C5—28no—
330C2×C4×C5—22no—
331C2×C4×C5—22no—
332C2×C4×C5—22no—
333C2×C4×C5—22no—
334C2×C4×C5—22no—
335C2×C4×C5—22no—
336C2×C4×C5—22no—
337C2×C4×C5—22no—
338C2×C4×C5—22no—
339C2×C4×C5—22no—
340C2×C4×C5—22no—
341C2×C4×C5—22no—
342C2×C4×C5—22no—
343C2×C4×C5—22no—
344C2×C4×C5—22no—
345C2×C4×C5—22no—
346C2×C4×C5—22no—
347C2×C4×C5—44no—
348C2×C4×C5—44no—
349C2×C4×C5—44no—
350C2×C4×C5—44no—
351C2×C4×C5—44no—
352C2×C4×C5C2×#4114yes—
353C2×Dic5—28no—
354C2×Dic5—28no—
355C2×Dic5—22no—
356C2×Dic5—22no—
357C2×Dic5—22no—
358C2×Dic5—22no—
359C2×Dic5—232no—
360C2×Dic5—22no—
361C2×Dic5—22no—
362C2×Dic5—22no—
363C2×Dic5—22no—
364C2×Dic5—22no—
365C2×Dic5—22no—
366C2×Dic5—22no—
367C2×Dic5—22no—
368C2×Dic5—22no—
369C2×Dic5—22no—
370C2×Dic5—22no—
371C2×Dic5—22no—
372C2×Dic5—22no—
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—44no—
376C2×Dic5—44no—
377C2×Dic5—44no—
378C2×Dic5—44no—
379C2×Dic5—44no—
380C2×Dic5#123116yes—
381C2×Dic5C22×D414yes—
382C2×Dic5C22×D414yes—
383C2×Dic5C2×#4114yes—
384C2×Dic5C2×#4114yes—
385C2×Dic5C2×#4114yes—
386Dic10—416no—
387C25C22×D511yescharacteristic
388C22×Q8—54no—
389C22×Q8—104no—
390C22×Q8—104no—
391C22×Q8—104no—
392C23×C4—51no—
393C23×C4—58no—
394C23×C4—54no—
395C23×C4—51no—
396C23×C4—51no—
397C23×C4—51no—
398C23×C4—51no—
399C23×C4—51no—
400C23×C4—51no—
401C23×C4—51no—
402C23×C4—104no—
403C23×C4—104no—
404C23×C4C22×D511yescharacteristic
405C23×C4C22×D511yescharacteristic
406C23×C4C22×D511yescharacteristic
407C23×C4C22×D511yescharacteristic
408C23×C4C22×D511yescharacteristic
409C23×C4C22×D511yescharacteristic
410C22⋊Q8—1032no—
411#117—1032no—
412C2×C4⋊C4—24no—
413C2×C4⋊C4—54no—
414C2×C4⋊C4—54no—
415C2×C4⋊C4—54no—
416C2×C4⋊C4—54no—
417C2×C4⋊C4—54no—
418C2×C4⋊C4—54no—
419C2×C4⋊C4—54no—
420C2×C4⋊C4—54no—
421C2×C4⋊C4—104no—
422C2×C4⋊C4—104no—
423C2×C4⋊C4—104no—
424C2×C4⋊C4—104no—
425C2×C4⋊C4—104no—
426C2×C4⋊C4—104no—
427C2×C4⋊C4—104no—
428C2×C4⋊C4—104no—
429C2×C4⋊C4C22×D514yes—
430C2×C22⋊C4—24no—
431C2×C22⋊C4—24no—
432C2×C22⋊C4—24no—
433C2×C22⋊C4—54no—
434C2×C22⋊C4—54no—
435C2×C22⋊C4—54no—
436C2×C22⋊C4—104no—
437C2×C22⋊C4—104no—
438C2×C22⋊C4—104no—
439C2×C22⋊C4C22×D514yes—
440C2×C22⋊C4C22×D514yes—
441C2×C22⋊C4C22×D514yes—
442C2×C42—54no—
443C2×C42—54no—
444C2×C42—54no—
445C2×C42—54no—
446C2×C42—104no—
447C2×C42—104no—
448C2×C42—104no—
449C2×C42—104no—
450#95—54no—
451#95—54no—
452#95—54no—
453#95—54no—
454#95—54no—
455#95—54no—
456#95—54no—
457#95—54no—
458#95—54no—
459#95—54no—
460#95—54no—
461#95C22×D514yes—
462#95C22×D514yes—
463#95C22×D514yes—
464C22×C5—24no—
465C22×C5—24no—
466C22×C5—24no—
467C22×C5—42no—
468C22×C5—42no—
469C22×C5—42no—
470C22×C5—42no—
471C22×C5—416no—
472C22×C5C2×#12314yes—
473C22×C5#53214yes—
474C22×C5#53614yes—
475C22×C5#55214yes—
476C22×C5#55214yes—
477C22×C5#55614yes—
478C22×C5#55614yes—
479C22×C5C23×D411yescharacteristic
480C22×C5C22×#4111yescharacteristic
481C22×C5C22×#4111yescharacteristic
482C22×C5C22×#4111yescharacteristic
483C22×C5C22×#4111yescharacteristic
484C22×C5C2×2−1+411yescharacteristic
485C22×C5C2×2−1+411yescharacteristic
486C4×C5—24no—
487C4×C5—42no—
488C4×C5—42no—
489C4×C5—42no—
490C4×C5—42no—
491C4×C5—42no—
492Dic5—24no—
493Dic5—24no—
494Dic5—42no—
495Dic5—42no—
496Dic5—42no—
497Dic5—42no—
498Dic5—42no—
499Dic5C2×#12318yes—
500C24—22no—
501C24—22no—
502C24—22no—
503C24—22no—
504C24—22no—
505C24—22no—
506C24D4×D514yes—
507C24C23×D512yes—
508C24C23×D511yescharacteristic
509C2×Q8—108no—
510C2×Q8—108no—
511C2×Q8—108no—
512C2×Q8—2016no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—54no—
531C22×C4—54no—
532C22×C4—54no—
533C22×C4—52no—
534C22×C4—54no—
535C22×C4—516no—
536C22×C4—54no—
537C22×C4—52no—
538C22×C4—52no—
539C22×C4—52no—
540C22×C4—52no—
541C22×C4—52no—
542C22×C4—52no—
543C22×C4—52no—
544C22×C4—1032no—
545C22×C4—108no—
546C22×C4—108no—
547C22×C4—102no—
548C22×C4—102no—
549C22×C4—102no—
550C22×C4—102no—
551C22×C4—102no—
552C22×C4—102no—
553C22×C4—102no—
554C22×C4—102no—
555C22×C4—102no—
556C22×C4—102no—
557C22×C4—102no—
558C22×C4—102no—
559C22×C4—102no—
560C22×C4—102no—
561C22×C4—102no—
562C22×C4—102no—
563C22×C4—102no—
564C22×C4—102no—
565C22×C4—102no—
566C22×C4#71114yes—
567C22×C4C23×D512yes—
568C22×C4C23×D512yes—
569C22×C4C23×D512yes—
570C22×C4C23×D512yes—
571C22×C4C23×D512yes—
572C22×C4C23×D512yes—
573C4⋊C4—28no—
574C4⋊C4—108no—
575C4⋊C4—108no—
576C4⋊C4—108no—
577C4⋊C4—108no—
578C4⋊C4—108no—
579C4⋊C4—108no—
580C4⋊C4—108no—
581C4⋊C4—108no—
582C22⋊C4—28no—
583C22⋊C4—28no—
584C22⋊C4—28no—
585C22⋊C4—108no—
586C22⋊C4—108no—
587C22⋊C4—108no—
588C42—108no—
589C42—108no—
590C42—108no—
591C42—108no—
592C2×C5—44no—
593C2×C5#249918yescomplemented
594C2×C5C22×#12311yescharacteristic
595C2×C5C2×#53211yescharacteristic
596C2×C5C2×#53611yescharacteristic
597C2×C5C2×#55211yescharacteristic
598C2×C5C2×#55211yescharacteristic
599C2×C5C2×#55611yescharacteristic
600C2×C5C2×#55611yescharacteristic
601C23—28no—
602C23—28no—
603C23—28no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23C2×D4×D514yes—
615C23C2×D4×D512yes—
616C23C2×#71112yes—
617C23D5×#4112yes—
618C23D5×#4112yes—
619C23D5×#4112yes—
620C23#415012yes—
621C23#415012yes—
622C23C24×D511yescharacteristic
623Q8—2016no—
624C2×C4—28no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—44no—
643C2×C4—44no—
644C2×C4—44no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—516no—
648C2×C4—54no—
649C2×C4—54no—
650C2×C4—54no—
651C2×C4—54no—
652C2×C4—54no—
653C2×C4—1032no—
654C2×C4—108no—
655C2×C4—102no—
656C2×C4—102no—
657C2×C4—102no—
658C2×C4—102no—
659C2×C4—108no—
660C2×C4—102no—
661C2×C4—102no—
662C2×C4—102no—
663C2×C4—102no—
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—102no—
673C2×C4—102no—
674C2×C4—102no—
675C2×C4—204no—
676C2×C4—204no—
677C2×C4—204no—
678C2×C4—204no—
679C2×C4—204no—
680C2×C4C2×#71114yes—
681C5C2×#249911yescharacteristic, complemented, Sylow
682C22—24no—
683C22—24no—
684C22—24no—
685C22—42no—
686C22—416no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22#6593014yes—
691C22#6598214yes—
692C22#6598414yes—
693C22D5×#12314yes—
694C22#6600514yes—
695C22#6603614yes—
696C22#6604214yes—
697C22C22×D4×D511yescharacteristic
698C22C22×#71111yescharacteristic
699C22C2×D5×#4111yescharacteristic
700C22C2×D5×#4111yescharacteristic
701C22C2×D5×#4111yescharacteristic
702C22C2×#415011yescharacteristic
703C22C2×#415011yescharacteristic
704C4—24no—
705C4—42no—
706C4—42no—
707C4—42no—
708C4—42no—
709C4—42no—
710C4—58no—
711C4—104no—
712C4—104no—
713C4—202no—
714C4—202no—
715C4—202no—
716C4—202no—
717C4—202no—
718C2—44no—
719C2#1060922218yesdirect product factor
720C2C2×#6593011yescharacteristic
721C2C2×#6598211yescharacteristic
722C2C2×#6598411yescharacteristic
723C2C2×D5×#12311yescharacteristic
724C2C2×#6600511yescharacteristic
725C2C2×#6603611yescharacteristic
726C2C2×#6604211yescharacteristic
subgroupG/H
centerC24C23×D5
commutator, cosocleC23×C5C25
FrattiniC23C24×D5
FittingC2×C5×#397C2
socleC24×C5C24
prime radicalC25×C5C23
hypercenterC2×#397D5
hypocenterC5C2×#2499
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C24 ◁ C2×#397

Complements

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

NH ≅ G/Ntype
4. C2×#65270C2semidirect
5. C2×#65265C2semidirect
10. #10609222C2direct (N × H)
11. C2×#64935C2semidirect
12. C2×#64935C2semidirect
13. C2×#64944C2semidirect
14. C2×#64943C2semidirect
15. C2×#64941C2semidirect
16. C2×#64939C2semidirect
57. #65270C22semidirect
58. #65265C22semidirect
63. #64944C22semidirect
64. #64943C22semidirect
65. #64941C22semidirect
66. #64939C22semidirect
67. #64935C22semidirect
68. #64935C22semidirect
593. C2×C5#2499semidirect
681. C5C2×#2499semidirect
719. C2#10609222direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#40242
C22×#40232
C2×C5×#3972
C2×#652702
C2×#652652
C2×#652422
C2×#652412
C2×C22⋊C4×Dic52
#106092222
C2×#649352
C2×#649442
C2×#649432
C2×#649412
C2×#649392
C2×#24995