Finite Group Databasebeta

← C22×#14583598 #26003597

Subgroups — C22×#14583598 #26003597

Order 11008.

8798 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583598C2148yesmaximal, direct product factor
2C22×#13063319C211yesmaximal, characteristic, complemented
3C22×#13063318C211yesmaximal, characteristic, complemented
4C22×#13063315C211yesmaximal, characteristic, complemented
5C22×#13063310C211yesmaximal, characteristic, complemented
6C22×#13063308C211yesmaximal, characteristic, complemented
7C22×#13063299C211yesmaximal, characteristic, complemented
8C22×#13063298C211yesmaximal, characteristic, complemented
9C22×#13063297C211yesmaximal, characteristic, complemented
10C22×#13063297C211yesmaximal, characteristic, complemented
11C22×C4×C22⋊D43C211yesmaximal, characteristic, complemented
12C22×(C22⋊D43)⋊C4C211yesmaximal, characteristic, complemented
13C22×(C22⋊D43)⋊C4C211yesmaximal, characteristic, complemented
14C22×#13063282C211yesmaximal, characteristic, complemented
15C23×Dic43⋊C4C211yesmaximal, characteristic, complemented
16C22×C4×D4×C43C211yesmaximal, characteristic, complemented
17C23×D172C2211yescharacteristic
18C23×C22⋊D43C2211yescharacteristic
19C23×C22⋊D43C2211yescharacteristic
20C23×C22⋊D43C2211yescharacteristic
21C23×C22⋊D43C2211yescharacteristic
22C24×Dic43C2211yescharacteristic
23C24×Dic43C2211yescharacteristic
24C23×C4×D43C2211yescharacteristic
25C23×C4×D43C2211yescharacteristic
26#14583598C221256yesdirect product factor
27C2×#13063319C22124yescomplemented
28C2×#13063318C22124yescomplemented
29C2×#13063315C22124yescomplemented
30C2×#13063310C22124yescomplemented
31C2×#13063308C22124yescomplemented
32C2×#13063299C22124yescomplemented
33C2×#13063298C22124yescomplemented
34C2×#13063297C22124yescomplemented
35C2×#13063297C22124yescomplemented
36C2×C4×C22⋊D43C22124yescomplemented
37C2×(C22⋊D43)⋊C4C22124yescomplemented
38C2×(C22⋊D43)⋊C4C22124yescomplemented
39C2×#13063282C22124yescomplemented
40C22×C4⋊Dic43C2211yescharacteristic
41C22×Dic43⋊C4C2211yescharacteristic
42C22×Dic43⋊C4C2211yescharacteristic
43C22×Dic43⋊C4C2211yescharacteristic
44C22×Dic43⋊C4C2211yescharacteristic
45C22×Dic43⋊C4C2211yescharacteristic
46C22×Dic43⋊C4C2211yescharacteristic
47C22×Dic43⋊C4C2211yescharacteristic
48C22×Dic43⋊C4C2211yescharacteristic
49C22×Dic43⋊C4C22124yescomplemented
50C22×C22⋊Dic43C2211yescharacteristic
51C22×C22⋊Dic43C2211yescharacteristic
52C22×(C2×D43)⋊C4C2211yescharacteristic
53C22×(C2×D43)⋊C4C2211yescharacteristic
54C22×(C2×D43)⋊C4C2211yescharacteristic
55C22×(C2×D43)⋊C4C2211yescharacteristic
56C22×(C2×D43)⋊C4C2211yescharacteristic
57C22×(C2×D43)⋊C4C2211yescharacteristic
58C22×C4×Dic43C2211yescharacteristic
59C22×C4×Dic43C2211yescharacteristic
60C23×D4×C43C2211yescharacteristic
61C24×C4×C43C2211yescharacteristic
62C24×C4×C43C2211yescharacteristic
63C2×C4×D4×C43C22124yescomplemented
64C22×C4⋊C4×C43C2211yescharacteristic
65C22×C22⋊C4×C43C2211yescharacteristic
66C22×C22⋊C4×C43C2211yescharacteristic
67C22×C42×C43C2211yescharacteristic
68C24×D43C2311yescharacteristic
69C24×D43C2311yescharacteristic
70C22×D172—44no—
71C22×D172C23112yes—
72C22×C22⋊D43—28no—
73C22×C22⋊D43—28no—
74C22×C22⋊D43—28no—
75C22×C22⋊D43—44no—
76C22×C22⋊D43C23112yes—
77C22×C22⋊D43C23112yes—
78C22×C22⋊D43C23112yes—
79C22×C22⋊D43C23112yes—
80C23×Dic43—28no—
81C23×Dic43—44no—
82C23×Dic43C2311yescharacteristic
83C23×Dic43C2311yescharacteristic
84C23×Dic43C2311yescharacteristic
85C23×Dic43C2311yescharacteristic
86C23×Dic43C2311yescharacteristic
87C23×Dic43C23112yes—
88C23×Dic43C23112yes—
89C23×Dic43C2311yescharacteristic
90C22×C4×D43—28no—
91C22×C4×D43—44no—
92C22×C4×D43C23112yes—
93C22×C4×D43C23112yes—
94#13063319C23164yescomplemented
95#13063318C23164yescomplemented
96#13063315C23164yescomplemented
97#13063310C23164yescomplemented
98#13063308C23164yescomplemented
99#13063299C23164yescomplemented
100#13063298C23164yescomplemented
101#13063297C23164yescomplemented
102#13063297C23164yescomplemented
103C4×C22⋊D43C23164yescomplemented
104(C22⋊D43)⋊C4C23164yescomplemented
105(C22⋊D43)⋊C4C23164yescomplemented
106#13063282C23164yescomplemented
107C2×C4⋊Dic43C23112yes—
108C2×Dic43⋊C4C23112yes—
109C2×Dic43⋊C4C23112yes—
110C2×Dic43⋊C4C23112yes—
111C2×Dic43⋊C4C23112yes—
112C2×Dic43⋊C4C23112yes—
113C2×Dic43⋊C4C23112yes—
114C2×Dic43⋊C4C23112yes—
115C2×Dic43⋊C4C23112yes—
116C2×Dic43⋊C4C23164yescomplemented
117C2×C22⋊Dic43C23112yes—
118C2×C22⋊Dic43C23112yes—
119C2×(C2×D43)⋊C4C23112yes—
120C2×(C2×D43)⋊C4C23112yes—
121C2×(C2×D43)⋊C4C23112yes—
122C2×(C2×D43)⋊C4C23112yes—
123C2×(C2×D43)⋊C4C23112yes—
124C2×(C2×D43)⋊C4C23112yes—
125C2×C4×Dic43C23112yes—
126C2×C4×Dic43C23112yes—
127C25×C43C2311yescharacteristic
128C25×C43C2311yescharacteristic
129C22×D4×C43—28no—
130C22×D4×C43C23112yes—
131C23×C4×C43—44no—
132C23×C4×C43—44no—
133C23×C4×C43C2311yescharacteristic
134C23×C4×C43C2311yescharacteristic
135C23×C4×C43C2311yescharacteristic
136C23×C4×C43C2311yescharacteristic
137C23×C4×C43C2311yescharacteristic
138C23×C4×C43C23112yes—
139C23×C4×C43C23112yes—
140C4×D4×C43C23164yescomplemented
141C2×C4⋊C4×C43C23112yes—
142C2×C22⋊C4×C43C23112yes—
143C2×C22⋊C4×C43C23112yes—
144C2×C42×C43C23112yes—
145C24×C43—24no—
146C24×C43—24no—
147C24×C43—24no—
148C24×C43—24no—
149C24×C43—24no—
150C24×C43#4118yes—
151C24×C43C2416yes—
152C24×C43C2416yes—
153C24×C43C2411yescharacteristic
154C23×D43—24no—
155C23×D43—24no—
156C23×D43—24no—
157C23×D43—24no—
158C23×D43—24no—
159C23×D43—24no—
160C23×D43C2416yes—
161C23×D43C2416yes—
162C2×D4×C43—248no—
163C2×D4×C43C24116yes—
164C22×C4×C43—24no—
165C22×C4×C43—24no—
166C22×C4×C43—24no—
167C22×C4×C43—24no—
168C22×C4×C43—24no—
169C22×C4×C43—424no—
170C22×C4×C43—424no—
171C22×C4×C43C2416yes—
172C22×C4×C43C2416yes—
173C22×C4×C43C2416yes—
174C22×C4×C43C2416yes—
175C22×C4×C43C2416yes—
176C22×C4×C43C24116yes—
177C22×C4×C43C24116yes—
178C2×C22⋊D43—248no—
179C2×C22⋊D43—248no—
180C2×C22⋊D43—248no—
181C2×C22⋊D43—424no—
182C2×C22⋊D43C24116yes—
183C2×C22⋊D43C24116yes—
184C2×C22⋊D43C24116yes—
185C2×C22⋊D43C24116yes—
186C22×Dic43—248no—
187C22×Dic43—24no—
188C22×Dic43—24no—
189C22×Dic43—24no—
190C22×Dic43—24no—
191C22×Dic43—24no—
192C22×Dic43—424no—
193C22×Dic43#4118yes—
194C22×Dic43C2416yes—
195C22×Dic43C2416yes—
196C22×Dic43C2416yes—
197C22×Dic43C2416yes—
198C22×Dic43C2416yes—
199C22×Dic43C24116yes—
200C22×Dic43C24116yes—
201C22×Dic43C2416yes—
202C2×D172—424no—
203C2×D172C24116yes—
204C2×C4×D43—248no—
205C2×C4×D43—424no—
206C2×C4×D43C24116yes—
207C2×C4×D43C24116yes—
208C4⋊C4×C43C24116yes—
209C22⋊C4×C43C24116yes—
210C22⋊C4×C43C24116yes—
211C42×C43C24116yes—
212C22⋊Dic43C24116yes—
213C22⋊Dic43C24116yes—
214(C2×D43)⋊C4C24116yes—
215(C2×D43)⋊C4C24116yes—
216(C2×D43)⋊C4C24116yes—
217(C2×D43)⋊C4C24116yes—
218(C2×D43)⋊C4C24116yes—
219(C2×D43)⋊C4C24116yes—
220C4⋊Dic43C24116yes—
221Dic43⋊C4C24116yes—
222Dic43⋊C4C24116yes—
223Dic43⋊C4C24116yes—
224Dic43⋊C4C24116yes—
225Dic43⋊C4C24116yes—
226Dic43⋊C4C24116yes—
227Dic43⋊C4C24116yes—
228Dic43⋊C4C24116yes—
229C4×Dic43C24116yes—
230C4×Dic43C24116yes—
231C23×C43—232no—
232C23×C43—212no—
233C23×C43—212no—
234C23×C43—212no—
235C23×C43—212no—
236C23×C43—212no—
237C23×C43—416no—
238C23×C43C2×#4114yes—
239C23×C43C2×#41124yes—
240C23×C43C2×#4114yes—
241C23×C43H(5,𝔽2)14yes—
242C23×C43C2514yes—
243C23×C43C2514yes—
244C23×C43C2513yes—
245C22×D43—212no—
246C22×D43—212no—
247C22×D43—212no—
248C22×D43—212no—
249C22×D43—212no—
250C22×D43—212no—
251C22×D43—416no—
252C22×D43—416no—
253C22×D43C2514yes—
254C22×D43C2514yes—
255D4×C43—232no—
256C2×C4×C43—212no—
257C2×C4×C43—212no—
258C2×C4×C43—212no—
259C2×C4×C43—212no—
260C2×C4×C43—212no—
261C2×C4×C43—416no—
262C2×C4×C43—416no—
263C2×C4×C43C2514yes—
264C2×C4×C43C2514yes—
265C2×C4×C43C2514yes—
266C2×C4×C43C2514yes—
267C2×C4×C43C2514yes—
268C22⋊D43—232no—
269C22⋊D43—232no—
270C22⋊D43—232no—
271C22⋊D43—416no—
272C2×Dic43—212no—
273C2×Dic43—212no—
274C2×Dic43—212no—
275C2×Dic43—212no—
276C2×Dic43—212no—
277C2×Dic43—232no—
278C2×Dic43—416no—
279C2×Dic43C2×#41124yes—
280C2×Dic43C2514yes—
281C2×Dic43C2514yes—
282C2×Dic43C2514yes—
283C2×Dic43C2514yes—
284C2×Dic43C2514yes—
285C2×Dic43C2514yes—
286D172—416no—
287C4×D43—232no—
288C4×D43—416no—
289C22×#553—431nomaximal, Sylow
290C22×C43—24no—
291C22×C43—24no—
292C22×C43—248no—
293C22×C43—24no—
294C22×C43—24no—
295C22×C43—24no—
296C22×C43—424no—
297C22×C43#553116yescomplemented
298C22×C43C22×#4116yes—
299C22×C43C22×#4118yes—
300C22×C43C22×#4116yes—
301C22×C43C2×H(5,𝔽2)16yes—
302C22×C43C2611yescharacteristic
303C2×D43—24no—
304C2×D43—24no—
305C2×D43—24no—
306C2×D43—24no—
307C2×D43—24no—
308C2×D43—24no—
309C2×D43—424no—
310C2×D43—424no—
311C4×C43—24no—
312C4×C43—24no—
313C4×C43—24no—
314C4×C43—24no—
315C4×C43—24no—
316Dic43—24no—
317Dic43—24no—
318Dic43—24no—
319Dic43—24no—
320Dic43—24no—
321Dic43C22×#4118yes—
322C2×#553—4348no—
323C22×#126—431no—
324C22×#126—431no—
325C22×#125—431no—
326C22×#123—431no—
327C22×#123—431no—
328C22×#121—431no—
329C22×#121—431no—
330C22×#121—431no—
331C22×#121—431no—
332C22×C4×D4—431no—
333C22×C4×D4—431no—
334C22×C4×D4—431no—
335C22×C4×D4D4311yescharacteristic, complemented
336C22×#117—431no—
337C23×C4⋊C4—431no—
338C2×C43—28no—
339C2×C43—44no—
340C2×C43C2×#553112yescomplemented
341C2×C43C23×#4111yescharacteristic
342C2×C43C23×#4111yescharacteristic
343C2×C43C22×H(5,𝔽2)11yescharacteristic
344D43—44no—
345D43—44no—
346C23×D4—431no—
347C23×D4—431no—
348C23×D4—431no—
349C23×D4—431no—
350C23×D4—431no—
351C23×D4C2×D4311yescharacteristic
352C24×C4—431no—
353C24×C4—431no—
354C24×C4—431no—
355C24×C4—431no—
356C24×C4C2×D4311yescharacteristic
357C24×C4C2×D4311yescharacteristic
358#553—43256no—
359C2×#126—4324no—
360C2×#126—4324no—
361C2×#125—4324no—
362C2×#123—4324no—
363C2×#123—4324no—
364C2×#121—4324no—
365C2×#121—4324no—
366C2×#121—4324no—
367C2×#121—4324no—
368C2×C4×D4—4324no—
369C2×C4×D4—4324no—
370C2×C4×D4—4324no—
371C2×C4×D4C2×D43124yescomplemented
372C2×#117—4324no—
373C22×C4⋊C4—431no—
374C22×C4⋊C4—431no—
375C22×C4⋊C4—431no—
376C22×C4⋊C4—431no—
377C22×C4⋊C4—431no—
378C22×C4⋊C4—431no—
379C22×C4⋊C4—431no—
380C22×C4⋊C4—431no—
381C22×C4⋊C4—4324no—
382C22×C4⋊C4—431no—
383C22×C4⋊C4C2×D4311yescharacteristic
384C22×C22⋊C4—431no—
385C22×C22⋊C4—431no—
386C22×C22⋊C4—431no—
387C22×C22⋊C4—431no—
388C22×C22⋊C4—431no—
389C22×C22⋊C4—431no—
390C22×C22⋊C4—431no—
391C22×C22⋊C4—431no—
392C22×C22⋊C4C2×D4311yescharacteristic
393C22×C22⋊C4C2×D4311yescharacteristic
394C22×C42—431no—
395C22×C42—431no—
396C22×C42C2×D4311yescharacteristic
397C43C22×#55311yescharacteristic, complemented, Sylow
398C25—431no—
399C25—431no—
400C25C22×D4311yescharacteristic
401C25C22×D4311yescharacteristic
402C22×D4—28no—
403C22×D4—4312no—
404C22×D4—4312no—
405C22×D4—4312no—
406C22×D4—4312no—
407C22×D4—4312no—
408C22×D4—868no—
409C22×D4—868no—
410C22×D4—868no—
411C22×D4—1724no—
412C22×D4—1724no—
413C22×D4C22×D43112yes—
414C23×C4—44no—
415C23×C4—44no—
416C23×C4—431no—
417C23×C4—4312no—
418C23×C4—431no—
419C23×C4—431no—
420C23×C4—431no—
421C23×C4—431no—
422C23×C4—431no—
423C23×C4—4312no—
424C23×C4—4312no—
425C23×C4—4312no—
426C23×C4—868no—
427C23×C4—868no—
428C23×C4—1724no—
429C23×C4—1724no—
430C23×C4C22×D4311yescharacteristic
431C23×C4C22×D4311yescharacteristic
432C23×C4C22×D4311yescharacteristic
433C23×C4C22×D4311yescharacteristic
434C23×C4C22×D4311yescharacteristic
435C23×C4C22×D43112yes—
436C23×C4C22×D43112yes—
437#126—4364no—
438#126—4364no—
439#125—4364no—
440#123—4364no—
441#123—4364no—
442#121—4364no—
443#121—4364no—
444#121—4364no—
445#121—4364no—
446C4×D4—4364no—
447C4×D4—4364no—
448C4×D4—4364no—
449C4×D4C22×D43164yescomplemented
450#117—4364no—
451C2×C4⋊C4—4312no—
452C2×C4⋊C4—4312no—
453C2×C4⋊C4—4312no—
454C2×C4⋊C4—4312no—
455C2×C4⋊C4—4364no—
456C2×C4⋊C4—4312no—
457C2×C4⋊C4—4312no—
458C2×C4⋊C4—4312no—
459C2×C4⋊C4—4312no—
460C2×C4⋊C4—4312no—
461C2×C4⋊C4C22×D43112yes—
462C2×C22⋊C4—4312no—
463C2×C22⋊C4—4312no—
464C2×C22⋊C4—4312no—
465C2×C22⋊C4—4312no—
466C2×C22⋊C4—4312no—
467C2×C22⋊C4—4312no—
468C2×C22⋊C4—4312no—
469C2×C22⋊C4—4312no—
470C2×C22⋊C4C22×D43112yes—
471C2×C22⋊C4C22×D43112yes—
472C2×C42—4312no—
473C2×C42—4312no—
474C2×C42C22×D43112yes—
475C24—24no—
476C24—24no—
477C24—24no—
478C24—24no—
479C24—24no—
480C24—436no—
481C24—436no—
482C24—864no—
483C24—864no—
484C24—864no—
485C24—864no—
486C24—864no—
487C24—864no—
488C24#1062189818yes—
489C24C23×D4316yes—
490C24C23×D4316yes—
491C24C23×D4311yescharacteristic
492C2×D4—248no—
493C2×D4—4316no—
494C2×D4—4316no—
495C2×D4—4316no—
496C2×D4—4316no—
497C2×D4—4316no—
498C2×D4—8648no—
499C2×D4—8648no—
500C2×D4—8648no—
501C2×D4—17224no—
502C2×D4—17224no—
503C2×D4C23×D43116yes—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—424no—
510C22×C4—424no—
511C22×C4—438no—
512C22×C4—436no—
513C22×C4—436no—
514C22×C4—436no—
515C22×C4—436no—
516C22×C4—436no—
517C22×C4—436no—
518C22×C4—4316no—
519C22×C4—4316no—
520C22×C4—4316no—
521C22×C4—4316no—
522C22×C4—8648no—
523C22×C4—8648no—
524C22×C4—864no—
525C22×C4—864no—
526C22×C4—864no—
527C22×C4—864no—
528C22×C4—864no—
529C22×C4—17224no—
530C22×C4—17224no—
531C22×C4C23×D4316yes—
532C22×C4C23×D4316yes—
533C22×C4C23×D4316yes—
534C22×C4C23×D4316yes—
535C22×C4C23×D4316yes—
536C22×C4C23×D43116yes—
537C22×C4C23×D43116yes—
538C4⋊C4—4316no—
539C4⋊C4—4316no—
540C4⋊C4—4316no—
541C4⋊C4—4316no—
542C4⋊C4—4316no—
543C4⋊C4—4316no—
544C4⋊C4—4316no—
545C4⋊C4—4316no—
546C4⋊C4—4316no—
547C4⋊C4C23×D43116yes—
548C22⋊C4—4316no—
549C22⋊C4—4316no—
550C22⋊C4—4316no—
551C22⋊C4—4316no—
552C22⋊C4—4316no—
553C22⋊C4—4316no—
554C22⋊C4—4316no—
555C22⋊C4—4316no—
556C22⋊C4C23×D43116yes—
557C22⋊C4C23×D43116yes—
558C42—4316no—
559C42—4316no—
560C42C23×D43116yes—
561C23—232no—
562C23—212no—
563C23—212no—
564C23—212no—
565C23—212no—
566C23—212no—
567C23—416no—
568C23—434no—
569C23—434no—
570C23—8612no—
571C23—8612no—
572C23—8612no—
573C23—8612no—
574C23—8612no—
575C23—8612no—
576C23—17216no—
577C23—17216no—
578C23#41×D4314yes—
579C23C2×#10621898124yes—
580C23C2×#1062189814yes—
581C23#1306337014yes—
582C23C24×D4314yes—
583C23C24×D4314yes—
584C23C24×D4313yes—
585D4—232no—
586D4—8632no—
587D4—8632no—
588D4—8632no—
589D4—17216no—
590D4—17216no—
591C2×C4—212no—
592C2×C4—212no—
593C2×C4—212no—
594C2×C4—212no—
595C2×C4—212no—
596C2×C4—416no—
597C2×C4—416no—
598C2×C4—4324no—
599C2×C4—434no—
600C2×C4—434no—
601C2×C4—434no—
602C2×C4—434no—
603C2×C4—434no—
604C2×C4—434no—
605C2×C4—8632no—
606C2×C4—8632no—
607C2×C4—8612no—
608C2×C4—8612no—
609C2×C4—8612no—
610C2×C4—8612no—
611C2×C4—8612no—
612C2×C4—17216no—
613C2×C4—17216no—
614C2×C4C24×D4314yes—
615C2×C4C24×D4314yes—
616C2×C4C24×D4314yes—
617C2×C4C24×D4314yes—
618C2×C4C24×D4314yes—
619C22—24no—
620C22—24no—
621C22—248no—
622C22—24no—
623C22—24no—
624C22—24no—
625C22—424no—
626C22—864no—
627C22—864no—
628C22—864no—
629C22—864no—
630C22—864no—
631C22—864no—
632C22—17224no—
633C22—17224no—
634C22#14583598116yesdirect product factor
635C22C2×#41×D4316yes—
636C22C22×#1062189818yes—
637C22C22×#1062189816yes—
638C22C2×#1306337016yes—
639C22C25×D4311yescharacteristic
640C4—24no—
641C4—24no—
642C4—24no—
643C4—24no—
644C4—24no—
645C4—438no—
646C4—864no—
647C4—864no—
648C4—864no—
649C4—864no—
650C4—864no—
651C2—28no—
652C2—44no—
653C2—1724no—
654C2—1724no—
655C2C2×#14583598112yesdirect product factor
656C2C22×#41×D4311yescharacteristic
657C2C23×#1062189811yescharacteristic
658C2C22×#1306337011yescharacteristic
subgroupG/H
centerC24C23×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC22×C4×D4×C43C2
socleC24×C43C24
hypercenterC22×C4×D4D43
hypocenterC43C22×#553
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#14583598C2direct (N × H)
2. C22×#13063319C2semidirect
3. C22×#13063318C2semidirect
4. C22×#13063315C2semidirect
5. C22×#13063310C2semidirect
6. C22×#13063308C2semidirect
7. C22×#13063299C2semidirect
8. C22×#13063298C2semidirect
9. C22×#13063297C2semidirect
10. C22×#13063297C2semidirect
11. C22×C4×C22⋊D43C2semidirect
12. C22×(C22⋊D43)⋊C4C2semidirect
13. C22×(C22⋊D43)⋊C4C2semidirect
14. C22×#13063282C2semidirect
15. C23×Dic43⋊C4C2semidirect
16. C22×C4×D4×C43C2semidirect
26. #14583598C22direct (N × H)
27. C2×#13063319C22semidirect
28. C2×#13063318C22semidirect
29. C2×#13063315C22semidirect
30. C2×#13063310C22semidirect
31. C2×#13063308C22semidirect
32. C2×#13063299C22semidirect
33. C2×#13063298C22semidirect
34. C2×#13063297C22semidirect
35. C2×#13063297C22semidirect
36. C2×C4×C22⋊D43C22semidirect
37. C2×(C22⋊D43)⋊C4C22semidirect
38. C2×(C22⋊D43)⋊C4C22semidirect
39. C2×#13063282C22semidirect
49. C22×Dic43⋊C4C22semidirect
63. C2×C4×D4×C43C22semidirect
94. #13063319C23semidirect
95. #13063318C23semidirect
96. #13063315C23semidirect
97. #13063310C23semidirect
98. #13063308C23semidirect
99. #13063299C23semidirect
100. #13063298C23semidirect
101. #13063297C23semidirect
102. #13063297C23semidirect
103. C4×C22⋊D43C23semidirect
104. (C22⋊D43)⋊C4C23semidirect
105. (C22⋊D43)⋊C4C23semidirect
106. #13063282C23semidirect
116. C2×Dic43⋊C4C23semidirect
140. C4×D4×C43C23semidirect
297. C22×C43#553semidirect
335. C22×C4×D4D43semidirect
340. C2×C43C2×#553semidirect
371. C2×C4×D4C2×D43semidirect
397. C43C22×#553semidirect
449. C4×D4C22×D43semidirect
634. C22#14583598direct (N × H)
655. C2C2×#14583598direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145835982
C22×#130633192
C22×#130633182
C22×#130633152
C22×#130633102
C22×#130633082
C22×#130632992
C22×#130632982
C22×#130632972
C22×C4×C22⋊D432
C22×(C22⋊D43)⋊C42
C22×#130632822
C23×Dic43⋊C42
C22×C4×D4×C432
C22×#55343