Finite Group Databasebeta

← #25019353

Subgroups — #25019353

Order 11008.

2150 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582774C211yesmaximal, characteristic
2C2×#14582772C211yesmaximal, characteristic
3C2×#14582771C211yesmaximal, characteristic
4C2×#14582757C211yesmaximal, characteristic
5C2×C22⋊C4×Dic43C211yesmaximal, characteristic
6C22×C43⋊#95C211yesmaximal, characteristic
7#19132859C212yesmaximal, complemented
8#19132858C212yesmaximal, complemented
9#19132824C212yesmaximal, complemented
10Dic43⋊#95C212yesmaximal, complemented
11C2×C43×#385C211yesmaximal, characteristic
12C24×Dic43C2211yescharacteristic
13C24×Dic43C2211yescharacteristic
14C22×C4⋊Dic43C2212yes—
15C22×Dic43⋊C4C2212yes—
16C22×Dic43⋊C4C2212yes—
17C22×Dic43⋊C4C2211yescharacteristic
18C22×Dic43⋊C4C2211yescharacteristic
19C22×C22⋊Dic43C2211yescharacteristic
20C22×C22⋊Dic43C2211yescharacteristic
21C22×C4×Dic43C2212yes—
22#14582774—24no—
23#14582772—24no—
24#14582771—24no—
25#14582757—24no—
26C22⋊C4×Dic43C418yescomplemented
27C2×C43⋊#95—24no—
28C2×C43⋊#95C2212yes—
29C2×C43⋊#95C2212yes—
30C2×C43⋊#95C2211yescharacteristic
31C2×C43⋊#95C2212yes—
32C2×C43⋊#95C2211yescharacteristic
33C2×C43⋊#95C2212yes—
34C2×C43⋊#95C2212yes—
35C2×C43⋊#95C2212yes—
36C24×C4×C43C2211yescharacteristic
37C22×C4⋊C4×C43C2212yes—
38C22×C22⋊C4×C43C2211yescharacteristic
39C22×C22⋊C4×C43C2211yescharacteristic
40C43×#385—24no—
41C2×#95×C43C2212yes—
42C23×Dic43—22no—
43C23×Dic43—24no—
44C23×Dic43—22no—
45C23×Dic43—22no—
46C23×Dic43—42no—
47C23×Dic43—42no—
48C23×Dic43—42no—
49C23×Dic43C2×C414yes—
50C23×Dic43D414yes—
51C23×Dic43Q814yes—
52C23×Dic43C2311yescharacteristic
53C23×Dic43C2311yescharacteristic
54C23×Dic43C2312yes—
55C23×Dic43C2311yescharacteristic
56C23×Dic43C2312yes—
57C23×Dic43C2311yescharacteristic
58C2×C4⋊Dic43—24no—
59C2×C4⋊Dic43—24no—
60C2×C4⋊Dic43—42no—
61C2×Dic43⋊C4—24no—
62C2×Dic43⋊C4—22no—
63C2×Dic43⋊C4—22no—
64C2×Dic43⋊C4—24no—
65C2×Dic43⋊C4—24no—
66C2×Dic43⋊C4—24no—
67C2×Dic43⋊C4—42no—
68C2×Dic43⋊C4—42no—
69C2×Dic43⋊C4—42no—
70C2×Dic43⋊C4—42no—
71C2×C22⋊Dic43—22no—
72C2×C22⋊Dic43—22no—
73C2×C22⋊Dic43—22no—
74C2×C22⋊Dic43C2×C414yes—
75C2×C22⋊Dic43D414yes—
76C2×C22⋊Dic43Q814yes—
77C2×C4×Dic43—42no—
78C2×C4×Dic43—42no—
79C2×C4×Dic43C2×C418yescomplemented
80C43⋊#95—24no—
81C43⋊#95—24no—
82C43⋊#95—24no—
83C43⋊#95—22no—
84C43⋊#95—22no—
85C43⋊#95—24no—
86C43⋊#95—24no—
87C43⋊#95C2×C418yescomplemented
88C25×C43C2311yescharacteristic
89C23×C4×C43—22no—
90C23×C4×C43—24no—
91C23×C4×C43—22no—
92C23×C4×C43—22no—
93C23×C4×C43—42no—
94C23×C4×C43C2311yescharacteristic
95C23×C4×C43C2311yescharacteristic
96C23×C4×C43C2312yes—
97C23×C4×C43C2312yes—
98C2×C4⋊C4×C43—24no—
99C2×C4⋊C4×C43—24no—
100C2×C4⋊C4×C43—42no—
101C2×C22⋊C4×C43—22no—
102C2×C22⋊C4×C43—22no—
103C2×C22⋊C4×C43—22no—
104C2×C22⋊C4×C43C2×C414yes—
105C2×C22⋊C4×C43D414yes—
106C2×C22⋊C4×C43Q814yes—
107#95×C43—24no—
108C24×C43—22no—
109C24×C43—22no—
110C24×C43—22no—
111C24×C43—22no—
112C24×C43C22×C412yes—
113C24×C43C2×D412yes—
114C24×C43C2×D412yes—
115C24×C43C2×D412yes—
116C24×C43C2×Q812yes—
117C24×C43C2×Q812yes—
118C24×C43C2×Q812yes—
119C24×C43C2411yescharacteristic
120C22×C4×C43—28no—
121C22×C4×C43—22no—
122C22×C4×C43—22no—
123C22×C4×C43—22no—
124C22×C4×C43—21no—
125C22×C4×C43—21no—
126C22×C4×C43—21no—
127C22×C4×C43—21no—
128C22×C4×C43—21no—
129C22×C4×C43—21no—
130C22×C4×C43—22no—
131C22×C4×C43—22no—
132C22×C4×C43—22no—
133C22×C4×C43—22no—
134C22×C4×C43—22no—
135C22×C4×C43—22no—
136C22×C4×C43—22no—
137C22×C4×C43—22no—
138C22×C4×C43—22no—
139C22×C4×C43—22no—
140C22×C4×C43—22no—
141C22×C4×C43—48no—
142C22×C4×C43—48no—
143C22×C4×C43—44no—
144C22×C4×C43—44no—
145C22×C4×C43C22×C414yes—
146C22×C4×C43C2×D414yes—
147C22×C4×C43C2×Q814yes—
148C22×C4×C43#4114yes—
149C22×Dic43—28no—
150C22×Dic43—22no—
151C22×Dic43—22no—
152C22×Dic43—22no—
153C22×Dic43—21no—
154C22×Dic43—21no—
155C22×Dic43—21no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159C22×Dic43—22no—
160C22×Dic43—22no—
161C22×Dic43—22no—
162C22×Dic43—22no—
163C22×Dic43—22no—
164C22×Dic43—22no—
165C22×Dic43—22no—
166C22×Dic43—22no—
167C22×Dic43—22no—
168C22×Dic43—22no—
169C22×Dic43—22no—
170C22×Dic43—22no—
171C22×Dic43—22no—
172C22×Dic43—22no—
173C22×Dic43—22no—
174C22×Dic43—48no—
175C22×Dic43—44no—
176C22×Dic43—44no—
177C22×Dic43—48no—
178C22×Dic43—48no—
179C22×Dic43—48no—
180C22×Dic43—44no—
181C22×Dic43—44no—
182C22×Dic43C4⋊C4116yescomplemented
183C22×Dic43C22×C412yes—
184C22×Dic43C22×C414yes—
185C22×Dic43C22×C412yes—
186C22×Dic43C2×D412yes—
187C22×Dic43C2×D414yes—
188C22×Dic43C2×D412yes—
189C22×Dic43C2×Q814yes—
190C22×Dic43C2×Q812yes—
191C22×Dic43C2×Q812yes—
192C22×Dic43#4114yes—
193C4⋊C4×C43—48no—
194C22⋊C4×C43—44no—
195C22⋊C4×C43C4⋊C4116yescomplemented
196C22⋊Dic43—44no—
197C22⋊Dic43C4⋊C4116yescomplemented
198C4⋊Dic43—48no—
199Dic43⋊C4—48no—
200Dic43⋊C4—48no—
201Dic43⋊C4—44no—
202Dic43⋊C4—44no—
203C4×Dic43—48no—
204C23×C43—24no—
205C23×C43—24no—
206C23×C43—22no—
207C23×C43—22no—
208C23×C43—24no—
209C23×C43—22no—
210C23×C43—22no—
211C23×C43—24no—
212C23×C43—24no—
213C23×C43—24no—
214C23×C43—24no—
215C23×C43—24no—
216C23×C43—24no—
217C23×C43—24no—
218C23×C43—24no—
219C23×C43—24no—
220C23×C43C2×C4⋊C414yes—
221C23×C43C2×C4⋊C414yes—
222C23×C43C2×C4⋊C414yes—
223C23×C43#12714yes—
224C23×C43C4⋊Q814yes—
225C23×C43C4⋊Q814yes—
226C23×C43C4⋊Q814yes—
227C23×C43C23×C411yescharacteristic
228C23×C43C22×D411yescharacteristic
229C23×C43C22×D411yescharacteristic
230C23×C43C22×D411yescharacteristic
231C23×C43C22×Q811yescharacteristic
232C23×C43C22×Q811yescharacteristic
233C23×C43C22×Q811yescharacteristic
234C23×C43C2×#4112yes—
235C23×C43C2×#4112yes—
236C23×C43H(5,𝔽2)12yes—
237C23×C43H(5,𝔽2)12yes—
238C2×C4×C43—24no—
239C2×C4×C43—24no—
240C2×C4×C43—24no—
241C2×C4×C43—24no—
242C2×C4×C43—24no—
243C2×C4×C43—24no—
244C2×C4×C43—24no—
245C2×C4×C43—24no—
246C2×C4×C43—24no—
247C2×C4×C43—416no—
248C2×C4×C43—42no—
249C2×C4×C43—42no—
250C2×C4×C43—42no—
251C2×C4×C43—42no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—42no—
259C2×C4×C43—42no—
260C2×C4×C43—42no—
261C2×C4×C43—42no—
262C2×C4×C43C2×C4⋊C418yes—
263C2×Dic43—24no—
264C2×Dic43—24no—
265C2×Dic43—24no—
266C2×Dic43—24no—
267C2×Dic43—22no—
268C2×Dic43—22no—
269C2×Dic43—22no—
270C2×Dic43—22no—
271C2×Dic43—24no—
272C2×Dic43—24no—
273C2×Dic43—24no—
274C2×Dic43—24no—
275C2×Dic43—24no—
276C2×Dic43—24no—
277C2×Dic43—24no—
278C2×Dic43—24no—
279C2×Dic43—24no—
280C2×Dic43—416no—
281C2×Dic43—416no—
282C2×Dic43—42no—
283C2×Dic43—42no—
284C2×Dic43—42no—
285C2×Dic43—42no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—42no—
293C2×Dic43—42no—
294C2×Dic43—42no—
295C2×Dic43—42no—
296C2×Dic43C2×C4⋊C418yes—
297C2×Dic43C2×C4⋊C414yes—
298C2×Dic43C2×C4⋊C414yes—
299#13965—431nomaximal, Sylow
300C22×C43—24no—
301C22×C43—24no—
302C22×C43—24no—
303C22×C43—28no—
304C22×C43—28no—
305C22×C43—24no—
306C22×C43—24no—
307C22×C43—28no—
308C22×C43—28no—
309C22×C43—24no—
310C22×C43#38418yes—
311C22×C43C22×C4⋊C411yescharacteristic
312C22×C43C22×C4⋊C411yescharacteristic
313C22×C43C22×C4⋊C411yescharacteristic
314C22×C43C4×#4112yes—
315C22×C43#51812yes—
316C22×C43#52511yescharacteristic
317C22×C43#52511yescharacteristic
318C22×C43C2×#12711yescharacteristic
319C22×C43C2×C4⋊Q811yescharacteristic
320C22×C43C2×C4⋊Q811yescharacteristic
321C22×C43C2×C4⋊Q811yescharacteristic
322C22×C43#53312yes—
323C22×C43#53411yescharacteristic
324C22×C43#53411yescharacteristic
325C22×C43#54312yes—
326C22×C43#54612yes—
327C22×C43#54612yes—
328C22×C43#54612yes—
329C22×C43#54612yes—
330C22×C43#55412yes—
331C22×C43#55412yes—
332C22×C43#55412yes—
333C22×C43#55412yes—
334C4×C43—28no—
335C4×C43—44no—
336C4×C43—81no—
337C4×C43—81no—
338Dic43—24no—
339Dic43—24no—
340Dic43—28no—
341Dic43—44no—
342Dic43—81no—
343Dic43—81no—
344C2×#385—431no—
345C2×#385—431no—
346C2×#385—431no—
347C2×#385D4311yescharacteristic
348C2×#380—431no—
349C2×C4×C22⋊C4—431no—
350C22×#95—431no—
351#1444—432no—
352#1444—432no—
353C4⋊#95—432no—
354C4⋊#95—432no—
355C2×C43—28no—
356C2×C43C2×#38411yescharacteristic
357C2×C43#229611yescharacteristic
358C2×C43#231511yescharacteristic
359C2×C43#234912yes—
360C2×C43#234912yes—
361C2×C43#253911yescharacteristic
362C2×C43#253911yescharacteristic
363C2×C43#254912yes—
364C2×C43#254912yes—
365C2×C43#258311yescharacteristic
366C2×C43#258311yescharacteristic
367C24×C4—431no—
368C24×C4—431no—
369C24×C4C2×D4311yescharacteristic
370C22×C4⋊C4—432no—
371C22×C4⋊C4—432no—
372C22×C4⋊C4—432no—
373C22×C4⋊C4—431no—
374C22×C4⋊C4—431no—
375C22×C4⋊C4C2×D4312yes—
376C22×C22⋊C4—431no—
377C22×C22⋊C4—431no—
378C22×C22⋊C4C2×D4311yescharacteristic
379C22×C22⋊C4C2×D4311yescharacteristic
380C22×C42—432no—
381#385—24no—
382#385—864no—
383#385—864no—
384#385—864no—
385#380—864no—
386C4×C22⋊C4—438no—
387C2×#95—432no—
388C2×#95—432no—
389C2×#95—431no—
390C2×#95—431no—
391C2×#95—432no—
392C2×#95—432no—
393C2×#95—432no—
394C2×#95—432no—
395C2×#95—864no—
396C2×#95C2×D4312yes—
397C43#1396511yescharacteristic, complemented, Sylow
398C25C22×D4311yescharacteristic
399C23×C4—22no—
400C23×C4—24no—
401C23×C4—22no—
402C23×C4—22no—
403C23×C4—42no—
404C23×C4—432no—
405C23×C4—431no—
406C23×C4—431no—
407C23×C4—434no—
408C23×C4—434no—
409C23×C4—434no—
410C23×C4—432no—
411C23×C4—431no—
412C23×C4—431no—
413C23×C4—864no—
414C23×C4—862no—
415C23×C4—862no—
416C23×C4—862no—
417C23×C4—1722no—
418C23×C4—1722no—
419C23×C4—1722no—
420C23×C4C22×D4311yescharacteristic
421C23×C4C22×D4311yescharacteristic
422C23×C4C22×D4312yes—
423C23×C4C22×D4312yes—
424C2×C4⋊C4—24no—
425C2×C4⋊C4—24no—
426C2×C4⋊C4—42no—
427C2×C4⋊C4—864no—
428C2×C4⋊C4—862no—
429C2×C4⋊C4—862no—
430C2×C4⋊C4—864no—
431C2×C4⋊C4—864no—
432C2×C4⋊C4—864no—
433C2×C4⋊C4—864no—
434C2×C4⋊C4—864no—
435C2×C4⋊C4—1722no—
436C2×C4⋊C4—1722no—
437C2×C4⋊C4—1722no—
438C2×C4⋊C4—1722no—
439C2×C4⋊C4—1722no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—22no—
443C2×C22⋊C4—434no—
444C2×C22⋊C4—434no—
445C2×C22⋊C4—434no—
446C2×C22⋊C4—862no—
447C2×C22⋊C4—862no—
448C2×C22⋊C4—862no—
449C2×C22⋊C4Dic8614yes—
450C2×C22⋊C4C4×D4314yes—
451C2×C22⋊C4C22⋊D4314yes—
452C2×C42—438no—
453C2×C42—1722no—
454C2×C42—1722no—
455#95—24no—
456#95—438no—
457#95—864no—
458#95—864no—
459#95—862no—
460#95—862no—
461#95—864no—
462#95—864no—
463#95—864no—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24C2×Dic8612yes—
469C24C2×C4×D4312yes—
470C24D4×D4312yes—
471C24D4×D4312yes—
472C24Q8×D4312yes—
473C24Q8×D4312yes—
474C24C2×C22⋊D4312yes—
475C24C23×D4311yescharacteristic
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—28no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—432no—
502C22×C4—434no—
503C22×C4—432no—
504C22×C4—432no—
505C22×C4—434no—
506C22×C4—432no—
507C22×C4—434no—
508C22×C4—432no—
509C22×C4—432no—
510C22×C4—4316no—
511C22×C4—434no—
512C22×C4—862no—
513C22×C4—862no—
514C22×C4—862no—
515C22×C4—862no—
516C22×C4—862no—
517C22×C4—862no—
518C22×C4—862no—
519C22×C4—862no—
520C22×C4—868no—
521C22×C4—862no—
522C22×C4—862no—
523C22×C4—862no—
524C22×C4—862no—
525C22×C4—862no—
526C22×C4—862no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—861no—
530C22×C4—861no—
531C22×C4—861no—
532C22×C4—861no—
533C22×C4—862no—
534C22×C4—862no—
535C22×C4—862no—
536C22×C4—862no—
537C22×C4—1728no—
538C22×C4—1724no—
539C22×C4—1724no—
540C22×C4—1728no—
541C22×C4—1728no—
542C22×C4—1728no—
543C22×C4—1724no—
544C22×C4—1724no—
545C22×C4C2×Dic8614yes—
546C22×C4C2×C4×D4314yes—
547C22×C4#1062190014yes—
548C22×C4C2×C22⋊D4314yes—
549C4⋊C4—48no—
550C4⋊C4—1728no—
551C4⋊C4—1728no—
552C4⋊C4—1728no—
553C4⋊C4—1724no—
554C4⋊C4—1724no—
555C22⋊C4—44no—
556C22⋊C4—4316no—
557C22⋊C4—1724no—
558C22⋊C4Dic43⋊C4116yescomplemented
559C42—1728no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—22no—
567C23—22no—
568C23—24no—
569C23—22no—
570C23—22no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23C4⋊C4×D4314yes—
577C23C4⋊C4×D4314yes—
578C23C2×Dic43⋊C414yes—
579C23#1306332114yes—
580C23#1306332314yes—
581C23#1306332414yes—
582C23#1306332414yes—
583C23C22×C4×D4311yescharacteristic
584C23C2×D4×D4311yescharacteristic
585C23C2×D4×D4311yescharacteristic
586C23C22×C22⋊D4311yescharacteristic
587C23C2×Q8×D4311yescharacteristic
588C23C2×Q8×D4311yescharacteristic
589C23C22×Dic8611yescharacteristic
590C23#41×D4312yes—
591C23C2×#1062190012yes—
592C23#1306337012yes—
593C23#1306337112yes—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—416no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—438no—
619C2×C4—434no—
620C2×C4—434no—
621C2×C4—864no—
622C2×C4—864no—
623C2×C4—864no—
624C2×C4—864no—
625C2×C4—864no—
626C2×C4—864no—
627C2×C4—862no—
628C2×C4—862no—
629C2×C4—862no—
630C2×C4—862no—
631C2×C4—864no—
632C2×C4—864no—
633C2×C4—864no—
634C2×C4—864no—
635C2×C4—864no—
636C2×C4—864no—
637C2×C4—864no—
638C2×C4—17216no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1722no—
646C2×C4—1722no—
647C2×C4—1722no—
648C2×C4—1722no—
649C2×C4—17216no—
650C2×C4—1722no—
651C2×C4—1722no—
652C2×C4—1722no—
653C2×C4—1722no—
654C2×C4C2×Dic43⋊C418yes—
655C22—28no—
656C22—28no—
657C22—24no—
658C22—24no—
659C22—24no—
660C22—24no—
661C22—24no—
662C22—24no—
663C22—28no—
664C22—28no—
665C22#1458276818yes—
666C22C2×C4⋊C4×D4311yescharacteristic
667C22C2×C4⋊C4×D4311yescharacteristic
668C22C22×Dic43⋊C411yescharacteristic
669C22C4×#1062190012yes—
670C22#1458337112yes—
671C22#1458340511yescharacteristic
672C22#1458340711yescharacteristic
673C22C2×#1306332111yescharacteristic
674C22C2×#1306332311yescharacteristic
675C22C2×#1306332411yescharacteristic
676C22C2×#1306332411yescharacteristic
677C22#1458345112yes—
678C22#1458345911yescharacteristic
679C22#1458346011yescharacteristic
680C22#1458352412yes—
681C22#1458353612yes—
682C22#1458353712yes—
683C22#1458354112yes—
684C22#1458354312yes—
685C22#1458360312yes—
686C22#1458360612yes—
687C22#1458360712yes—
688C22#1458360812yes—
689C4—28no—
690C4—44no—
691C4—81no—
692C4—81no—
693C4—864no—
694C4—864no—
695C4—868no—
696C4—3441no—
697C4—3441no—
698C4—1724no—
699C2—28no—
700C2C2×#1458276811yescharacteristic
701C2#1913707411yescharacteristic
702C2#1913720611yescharacteristic
703C2#1913750012yes—
704C2#1913750112yes—
705C2#1913952311yescharacteristic
706C2#1913952511yescharacteristic
707C2#1913960312yes—
708C2#1913960812yes—
709C2#1913997211yescharacteristic
710C2#1913997411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D43
commutatorC23×C43C23×C4
FittingC2×C43×#385C2
socle, cosocleC24×C43C24
prime radicalC25×C43C23
hypercenterC2×#385D43
hypocenterC43#13965
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
7. #19132859C2semidirect
8. #19132858C2semidirect
9. #19132824C2semidirect
10. Dic43⋊#95C2semidirect
26. C22⋊C4×Dic43C4semidirect
79. C2×C4×Dic43C2×C4semidirect
87. C43⋊#95C2×C4semidirect
182. C22×Dic43C4⋊C4semidirect
195. C22⋊C4×C43C4⋊C4semidirect
197. C22⋊Dic43C4⋊C4semidirect
397. C43#13965semidirect
558. C22⋊C4Dic43⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#145827742
C2×#145827722
C2×#145827712
C2×#145827572
C2×C22⋊C4×Dic432
C22×C43⋊#952
#191328592
#191328582
#191328242
Dic43⋊#952
C2×C43×#3852
#1396543