Finite Group Databasebeta

← #12005524

Subgroups — #12005524

Order 1280.

1246 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65499C211yesmaximal, characteristic
2#10613814C211yesmaximal, characteristic
3C5×C22⋊#95C211yesmaximal, characteristic
4#10602920C211yesmaximal, characteristic
5C2×#64747C211yesmaximal, characteristic
6C2×#64747C211yesmaximal, characteristic
7C2×#64746C211yesmaximal, characteristic
8C24×C4×C5C2211yescharacteristic
9C22×C5×C22⋊C4C2211yescharacteristic
10C22×C5×C22⋊C4C2211yescharacteristic
11C22×C22⋊Dic5C2211yescharacteristic
12C22×C22⋊Dic5C2211yescharacteristic
13C22×C22⋊Dic5C2211yescharacteristic
14C22×C22⋊Dic5C2211yescharacteristic
15C22×#683—21no—
16C2×C5×#95—22no—
17#65499—22no—
18#65499C414yescomplemented
19C4×C22⋊Dic5—22no—
20C2×#3963—21no—
21C2×#3963—22no—
22C22⋊C4×Dic5—21no—
23C22⋊C4×Dic5—21no—
24C22⋊C4×Dic5—22no—
25#64747—22no—
26#64747C414yescomplemented
27#64746C414yescomplemented
28#10918—51nomaximal, Sylow
29C25×C5C2311yescharacteristic
30C23×C4×C5—21no—
31C23×C4×C5—21no—
32C23×C4×C5—21no—
33C23×C4×C5—21no—
34C23×C4×C5—21no—
35C23×C4×C5—21no—
36C23×C4×C5—21no—
37C23×C4×C5—44no—
38C23×C4×C5C2×C412yes—
39C23×C4×C5D412yes—
40C23×Dic5—21no—
41C23×Dic5—21no—
42C23×Dic5D411yescharacteristic
43C23×Dic5D411yescharacteristic
44C23×Dic5D412yes—
45C2×C5×C22⋊C4—21no—
46C2×C5×C22⋊C4—21no—
47C2×C5×C22⋊C4—21no—
48C2×C5×C22⋊C4—21no—
49C2×C5×C22⋊C4—21no—
50C2×C5×C22⋊C4—21no—
51C2×C5×C22⋊C4—21no—
52C2×C5×C22⋊C4—21no—
53C2×C5×C22⋊C4—21no—
54C2×C5×C22⋊C4C2×C412yes—
55C2×C5×C22⋊C4C2×C412yes—
56C2×C5×C22⋊C4Q812yes—
57C2×C22⋊Dic5—21no—
58C2×C22⋊Dic5—21no—
59C2×C22⋊Dic5—21no—
60C2×C22⋊Dic5—21no—
61C2×C22⋊Dic5—21no—
62C2×C22⋊Dic5—21no—
63C2×C22⋊Dic5—21no—
64C2×C22⋊Dic5—21no—
65C2×C22⋊Dic5—21no—
66C2×C22⋊Dic5—21no—
67C2×C22⋊Dic5—21no—
68C2×C22⋊Dic5—21no—
69C2×C22⋊Dic5—21no—
70C2×C22⋊Dic5—21no—
71C2×C22⋊Dic5—21no—
72C2×C22⋊Dic5—21no—
73C2×C22⋊Dic5C2×C412yes—
74C2×C22⋊Dic5C2×C412yes—
75C2×C22⋊Dic5C2×C412yes—
76C2×C22⋊Dic5C2×C412yes—
77C2×C22⋊Dic5C2×C412yes—
78C2×C22⋊Dic5C2×C412yes—
79C2×C22⋊Dic5D412yes—
80C2×C22⋊Dic5Q812yes—
81C2×#683—24no—
82C2×#683—44no—
83C2×C4×Dic5—22no—
84C2×C4×Dic5—22no—
85C5×#95—44no—
86#3963—22no—
87#3963—22no—
88#3963—24no—
89#3963—44no—
90C2×#385—51no—
91#2273—51no—
92C2×#342—51no—
93C2×#342—51no—
94C2×#342—51no—
95C22⋊#95—51no—
96C22⋊#95D511yescharacteristic
97C24×C5—42no—
98C24×C5—42no—
99C24×C5C22×C411yescharacteristic
100C24×C5C22×C411yescharacteristic
101C24×C5C22×C411yescharacteristic
102C24×C5C2×D411yescharacteristic
103C24×C5C2×D411yescharacteristic
104C24×C5C2×D411yescharacteristic
105C24×C5C2×D411yescharacteristic
106C24×C5C2×Q811yescharacteristic
107C24×C5C2×Q811yescharacteristic
108C24×C5#4111yescharacteristic
109C24×C5#4111yescharacteristic
110C24×C5#4111yescharacteristic
111C24×C5#4111yescharacteristic
112C24×C5#4111yescharacteristic
113C24×C5#4111yescharacteristic
114C22×C4×C5—24no—
115C22×C4×C5—24no—
116C22×C4×C5—24no—
117C22×C4×C5—22no—
118C22×C4×C5—22no—
119C22×C4×C5—22no—
120C22×C4×C5—22no—
121C22×C4×C5—22no—
122C22×C4×C5—22no—
123C22×C4×C5—44no—
124C22×C4×C5—44no—
125C22×C4×C5—44no—
126C22×C4×C5—44no—
127C22×C4×C5—42no—
128C22×C4×C5—42no—
129C22×C4×C5—42no—
130C22×C4×C5—41no—
131C22×C4×C5—41no—
132C22×C4×C5—41no—
133C22×C4×C5—41no—
134C22×C4×C5—42no—
135C22×C4×C5—42no—
136C22×C4×C5—42no—
137C22×C4×C5—42no—
138C22×C4×C5—41no—
139C22×C4×C5—41no—
140C22×C4×C5C4⋊C414yescomplemented
141C22×Dic5—22no—
142C22×Dic5—22no—
143C22×Dic5—22no—
144C22×Dic5—22no—
145C22×Dic5—21no—
146C22×Dic5—21no—
147C22×Dic5—21no—
148C22×Dic5—21no—
149C22×Dic5—22no—
150C22×Dic5—22no—
151C22×Dic5—42no—
152C22×Dic5—42no—
153C22×Dic5—42no—
154C22×Dic5—42no—
155C22×Dic5—42no—
156C22×Dic5—42no—
157C22×Dic5—42no—
158C22×Dic5—42no—
159C22×Dic5—41no—
160C22×Dic5—41no—
161C22×Dic5C22⋊C412yes—
162C22×Dic5C22⋊C412yes—
163C22×Dic5C4⋊C414yescomplemented
164C5×C22⋊C4—22no—
165C5×C22⋊C4—22no—
166C5×C22⋊C4—22no—
167C5×C22⋊C4—22no—
168C5×C22⋊C4—22no—
169C5×C22⋊C4—22no—
170C5×C22⋊C4—41no—
171C5×C22⋊C4—41no—
172C22⋊Dic5—22no—
173C22⋊Dic5—22no—
174C22⋊Dic5—22no—
175C22⋊Dic5—22no—
176C22⋊Dic5—22no—
177C22⋊Dic5—22no—
178C22⋊Dic5—22no—
179C22⋊Dic5—22no—
180C22⋊Dic5—22no—
181C22⋊Dic5—22no—
182C22⋊Dic5—22no—
183C22⋊Dic5—22no—
184C22⋊Dic5—22no—
185C22⋊Dic5—41no—
186C22⋊Dic5—41no—
187C22⋊Dic5C4214yescomplemented
188#683—48no—
189C4×Dic5—82no—
190C4×Dic5—82no—
191C24×C4C2×D511yescharacteristic
192C22×C4⋊C4—101no—
193C22×C22⋊C4—51no—
194C22×C22⋊C4—51no—
195C22×C22⋊C4—51no—
196C22×C22⋊C4—51no—
197C22×C22⋊C4C2×D511yescharacteristic
198C22×C22⋊C4C2×D511yescharacteristic
199#385—54no—
200#385—102no—
201C4×C22⋊C4—101no—
202C4×C22⋊C4—101no—
203C4×C22⋊C4—102no—
204C4×C22⋊C4—102no—
205C2×#95—22no—
206C2×#95—101no—
207C2×#95—102no—
208#342—54no—
209#342—54no—
210#342—102no—
211C23×C5—22no—
212C23×C5—22no—
213C23×C5—22no—
214C23×C5—22no—
215C23×C5—22no—
216C23×C5—22no—
217C23×C5—41no—
218C23×C5—41no—
219C23×C5—41no—
220C23×C5—41no—
221C23×C5—42no—
222C23×C5—42no—
223C23×C5—41no—
224C23×C5—41no—
225C23×C5—42no—
226C23×C5—42no—
227C23×C5—42no—
228C23×C5—41no—
229C23×C5—42no—
230C23×C5—42no—
231C23×C5—41no—
232C23×C5—42no—
233C23×C5C2×C4211yescharacteristic
234C23×C5C2×C22⋊C411yescharacteristic
235C23×C5C2×C4⋊C411yescharacteristic
236C23×C5C2×C4⋊C411yescharacteristic
237C23×C5#11711yescharacteristic
238C23×C5#11711yescharacteristic
239C23×C5#11711yescharacteristic
240C23×C5C4×D411yescharacteristic
241C23×C5C4×D411yescharacteristic
242C23×C5C4×D411yescharacteristic
243C23×C5C4×D411yescharacteristic
244C23×C5C4×D411yescharacteristic
245C23×C5C4×D411yescharacteristic
246C23×C5C4×D411yescharacteristic
247C23×C5C4×D411yescharacteristic
248C23×C5C4×Q811yescharacteristic
249C23×C5C4×Q811yescharacteristic
250C23×C5C4×Q811yescharacteristic
251C23×C5C4×Q811yescharacteristic
252C23×C5#12011yescharacteristic
253C23×C5#12111yescharacteristic
254C23×C5#12111yescharacteristic
255C23×C5C22⋊Q811yescharacteristic
256C23×C5C22⋊Q811yescharacteristic
257C23×C5C22⋊Q811yescharacteristic
258C23×C5C22⋊Q811yescharacteristic
259C23×C5#12311yescharacteristic
260C23×C5#12311yescharacteristic
261C23×C5#12311yescharacteristic
262C23×C5#12411yescharacteristic
263C23×C5#12511yescharacteristic
264C23×C5#12511yescharacteristic
265C23×C5#12611yescharacteristic
266C23×C5#12611yescharacteristic
267C23×C5C4⋊Q811yescharacteristic
268C2×C4×C5—24no—
269C2×C4×C5—24no—
270C2×C4×C5—24no—
271C2×C4×C5—24no—
272C2×C4×C5—42no—
273C2×C4×C5—44no—
274C2×C4×C5—44no—
275C2×C4×C5—42no—
276C2×C4×C5—42no—
277C2×C4×C5—44no—
278C2×C4×C5—42no—
279C2×C4×C5—42no—
280C2×C4×C5—44no—
281C2×C4×C5—42no—
282C2×C4×C5—44no—
283C2×C4×C5—44no—
284C2×C4×C5—42no—
285C2×C4×C5—82no—
286C2×C4×C5—82no—
287C2×C4×C5—81no—
288C2×C4×C5—81no—
289C2×Dic5—24no—
290C2×Dic5—24no—
291C2×Dic5—22no—
292C2×Dic5—22no—
293C2×Dic5—42no—
294C2×Dic5—44no—
295C2×Dic5—44no—
296C2×Dic5—42no—
297C2×Dic5—42no—
298C2×Dic5—42no—
299C2×Dic5—42no—
300C2×Dic5—42no—
301C2×Dic5—42no—
302C2×Dic5—42no—
303C2×Dic5—44no—
304C2×Dic5—44no—
305C2×Dic5—42no—
306C2×Dic5—82no—
307C2×Dic5—81no—
308C2×Dic5—81no—
309C2×Dic5—82no—
310C2×Dic5—81no—
311C2×Dic5—81no—
312C25C22×D511yescharacteristic
313C23×C4—21no—
314C23×C4—21no—
315C23×C4—21no—
316C23×C4—21no—
317C23×C4—21no—
318C23×C4—21no—
319C23×C4—21no—
320C23×C4—44no—
321C23×C4—51no—
322C23×C4—51no—
323C23×C4—52no—
324C23×C4—101no—
325C23×C4—101no—
326C23×C4C4×D512yes—
327C23×C4C22⋊D512yes—
328C2×C4⋊C4—104no—
329C2×C4⋊C4—204no—
330C2×C22⋊C4—21no—
331C2×C22⋊C4—21no—
332C2×C22⋊C4—21no—
333C2×C22⋊C4—21no—
334C2×C22⋊C4—21no—
335C2×C22⋊C4—21no—
336C2×C22⋊C4—21no—
337C2×C22⋊C4—21no—
338C2×C22⋊C4—21no—
339C2×C22⋊C4—52no—
340C2×C22⋊C4—52no—
341C2×C22⋊C4—52no—
342C2×C22⋊C4—52no—
343C2×C22⋊C4—52no—
344C2×C22⋊C4—52no—
345C2×C22⋊C4—52no—
346C2×C22⋊C4—52no—
347C2×C22⋊C4—101no—
348C2×C22⋊C4—101no—
349C2×C22⋊C4—101no—
350C2×C22⋊C4—101no—
351C2×C22⋊C4—101no—
352C2×C22⋊C4—101no—
353C2×C22⋊C4—101no—
354C2×C22⋊C4—101no—
355C2×C22⋊C4—101no—
356C2×C22⋊C4—101no—
357C2×C22⋊C4—101no—
358C2×C22⋊C4—101no—
359C2×C22⋊C4—101no—
360C2×C22⋊C4—101no—
361C2×C22⋊C4—101no—
362C2×C22⋊C4—101no—
363C2×C22⋊C4Dic1012yes—
364C2×C22⋊C4C4×D512yes—
365C2×C22⋊C4C4×D512yes—
366C2×C42—102no—
367C2×C42—102no—
368#95—44no—
369#95—104no—
370#95—102no—
371#95—102no—
372#95—204no—
373C22×C5—22no—
374C22×C5—22no—
375C22×C5—22no—
376C22×C5—22no—
377C22×C5—22no—
378C22×C5—22no—
379C22×C5—22no—
380C22×C5—22no—
381C22×C5—22no—
382C22×C5—22no—
383C22×C5—22no—
384C22×C5—22no—
385C22×C5—21no—
386C22×C5—21no—
387C22×C5—21no—
388C22×C5—21no—
389C22×C5—21no—
390C22×C5—21no—
391C22×C5—21no—
392C22×C5—21no—
393C22×C5—21no—
394C22×C5—21no—
395C22×C5—21no—
396C22×C5—21no—
397C22×C5—41no—
398C22×C5—41no—
399C22×C5—41no—
400C22×C5—41no—
401C22×C5—41no—
402C22×C5—41no—
403C22×C5—41no—
404C22×C5—41no—
405C22×C5—41no—
406C22×C5—41no—
407C22×C5—41no—
408C22×C5—41no—
409C22×C5—41no—
410C22×C5—41no—
411C22×C5—41no—
412C22×C5—41no—
413C22×C5C4×C22⋊C411yescharacteristic
414C22×C5C4×C4⋊C411yescharacteristic
415C22×C5C4×C4⋊C411yescharacteristic
416C22×C5#38511yescharacteristic
417C22×C5#38511yescharacteristic
418C22×C5#38611yescharacteristic
419C22×C5#38711yescharacteristic
420C22×C5#38711yescharacteristic
421C22×C5#38711yescharacteristic
422C22×C5#38711yescharacteristic
423C22×C5#38811yescharacteristic
424C22×C5#38811yescharacteristic
425C22×C5#38911yescharacteristic
426C22×C5#38911yescharacteristic
427C22×C5#39111yescharacteristic
428C22×C5B(4,𝔽2)12yes—
429C22×C5#45812yes—
430C4×C5—44no—
431C4×C5—44no—
432C4×C5—82no—
433Dic5—44no—
434Dic5—44no—
435Dic5—42no—
436Dic5—42no—
437Dic5—82no—
438C24—42no—
439C24—42no—
440C24C2×Dic1011yescharacteristic
441C24C2×C4×D511yescharacteristic
442C24C2×C4×D511yescharacteristic
443C24C2×C4×D511yescharacteristic
444C24#70911yescharacteristic
445C24#70911yescharacteristic
446C24D4×D511yescharacteristic
447C24D4×D511yescharacteristic
448C24D4×D511yescharacteristic
449C24#71111yescharacteristic
450C24#71111yescharacteristic
451C24#71111yescharacteristic
452C24Q8×D511yescharacteristic
453C24#71311yescharacteristic
454C24C2×C22⋊D511yescharacteristic
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—44no—
465C22×C4—44no—
466C22×C4—44no—
467C22×C4—44no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—41no—
480C22×C4—41no—
481C22×C4—52no—
482C22×C4—52no—
483C22×C4—54no—
484C22×C4—102no—
485C22×C4—102no—
486C22×C4—102no—
487C22×C4—101no—
488C22×C4—101no—
489C22×C4—102no—
490C22×C4—101no—
491C22×C4—101no—
492C22×C4—102no—
493C22×C4—102no—
494C22×C4—202no—
495C22×C4—202no—
496C22×C4—202no—
497C22×C4—202no—
498C22×C4—202no—
499C22×C4—202no—
500C22×C4—202no—
501C22×C4—202no—
502C22×C4—201no—
503C22×C4—201no—
504C22×C4#68314yescomplemented
505C4⋊C4—208no—
506C22⋊C4—22no—
507C22⋊C4—22no—
508C22⋊C4—22no—
509C22⋊C4—22no—
510C22⋊C4—22no—
511C22⋊C4—22no—
512C22⋊C4—41no—
513C22⋊C4—41no—
514C22⋊C4—54no—
515C22⋊C4—102no—
516C22⋊C4—102no—
517C22⋊C4—102no—
518C22⋊C4—102no—
519C22⋊C4—102no—
520C22⋊C4—102no—
521C22⋊C4—102no—
522C22⋊C4—102no—
523C22⋊C4—102no—
524C22⋊C4—102no—
525C22⋊C4—102no—
526C22⋊C4—102no—
527C22⋊C4—102no—
528C22⋊C4—201no—
529C22⋊C4—201no—
530C42—402no—
531C42—402no—
532C2×C5—21no—
533C2×C5—21no—
534C2×C5—21no—
535C2×C5—21no—
536C2×C5—21no—
537C2×C5—21no—
538C2×C5—21no—
539C2×C5—21no—
540C2×C5—21no—
541C2×C5—21no—
542C2×C5—21no—
543C2×C5—21no—
544C2×C5#143611yescharacteristic
545C2×C5#186712yes—
546C2×C5#186712yes—
547C2×C5#188911yescharacteristic
548C2×C5#189011yescharacteristic
549C23—22no—
550C23—22no—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—42no—
560C23—41no—
561C23—42no—
562C23—42no—
563C23—41no—
564C23—42no—
565C23—41no—
566C23—41no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23C4×Dic1011yescharacteristic
572C23C4×Dic1011yescharacteristic
573C23C42×D511yescharacteristic
574C23#401811yescharacteristic
575C23#402311yescharacteristic
576C23#402411yescharacteristic
577C23#402411yescharacteristic
578C23#402511yescharacteristic
579C23D5×C22⋊C411yescharacteristic
580C23#402711yescharacteristic
581C23#402711yescharacteristic
582C23#402711yescharacteristic
583C23#402711yescharacteristic
584C23#402911yescharacteristic
585C23#403011yescharacteristic
586C23#403111yescharacteristic
587C23#403311yescharacteristic
588C23#403311yescharacteristic
589C23#403411yescharacteristic
590C23#403511yescharacteristic
591C23#403611yescharacteristic
592C23D5×C4⋊C411yescharacteristic
593C23#403811yescharacteristic
594C23#403911yescharacteristic
595C23#403911yescharacteristic
596C23#404011yescharacteristic
597C23#404211yescharacteristic
598C23#404411yescharacteristic
599C23C2×#68311yescharacteristic
600C23C4×C22⋊D511yescharacteristic
601C23C4×C22⋊D511yescharacteristic
602C23#408111yescharacteristic
603C23#408311yescharacteristic
604C23#408411yescharacteristic
605C23#409211yescharacteristic
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—44no—
614C2×C4—44no—
615C2×C4—44no—
616C2×C4—42no—
617C2×C4—44no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—44no—
621C2×C4—44no—
622C2×C4—42no—
623C2×C4—82no—
624C2×C4—81no—
625C2×C4—81no—
626C2×C4—82no—
627C2×C4—104no—
628C2×C4—102no—
629C2×C4—102no—
630C2×C4—104no—
631C2×C4—202no—
632C2×C4—202no—
633C2×C4—204no—
634C2×C4—204no—
635C2×C4—202no—
636C2×C4—202no—
637C2×C4—202no—
638C2×C4—202no—
639C2×C4—202no—
640C2×C4—202no—
641C2×C4—204no—
642C2×C4—204no—
643C2×C4—202no—
644C2×C4—401no—
645C2×C4—401no—
646C2×C4—402no—
647C2×C4—401no—
648C2×C4—401no—
649C2×C4—402no—
650C5#1091811yescharacteristic, complemented, Sylow
651C22—21no—
652C22—21no—
653C22—21no—
654C22—21no—
655C22—21no—
656C22—21no—
657C22—21no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22#6493511yescharacteristic
692C22#6493611yescharacteristic
693C22#6493811yescharacteristic
694C22#6494111yescharacteristic
695C22#6494311yescharacteristic
696C22#6494411yescharacteristic
697C22#6495511yescharacteristic
698C22#6495811yescharacteristic
699C22C4×#68311yescharacteristic
700C22#6523311yescharacteristic
701C22#6523511yescharacteristic
702C22#6524511yescharacteristic
703C22#6526211yescharacteristic
704C22#6526711yescharacteristic
705C22#6527811yescharacteristic
706C22#6532112yes—
707C22#6534212yes—
708C4—44no—
709C4—44no—
710C4—82no—
711C4—204no—
712C4—202no—
713C4—202no—
714C4—204no—
715C4—402no—
716C2—21no—
717C2—21no—
718C2—21no—
719C2—21no—
720C2—21no—
721C2—21no—
722C2—21no—
723C2—21no—
724C2—21no—
725C2—21no—
726C2—21no—
727C2—21no—
728C2#1060019911yescharacteristic
729C2#1060029211yescharacteristic
730C2#1060033111yescharacteristic
731C2#1060038812yes—
732C2#1060039012yes—
subgroupG/H
centerC23#4083
commutatorC23×C5C2×C42
FrattiniC25C22×D5
FittingC5×C22⋊#95C2
socleC23×C5#120
prime radical, cosocleC25×C5C23
hypercenterC22⋊#95D5
hypocenterC5#10918
LCSG ▷ C23×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C25 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
18. #65499C4semidirect
26. #64747C4semidirect
27. #64746C4semidirect
140. C22×C4×C5C4⋊C4semidirect
163. C22×Dic5C4⋊C4semidirect
187. C22⋊Dic5C42semidirect
504. C22×C4#683semidirect
650. C5#10918semidirect

Maximal subgroups

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

subgroupindex
C2×#654992
#106138142
C5×C22⋊#952
#106029202
C2×#647472
C2×#647462
#109185