Finite Group Databasebeta

← C2×#19137924 #25264153

Subgroups — C2×#19137924 #25264153

Order 11008.

7822 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×D172C211yesmaximal, characteristic
2C22×#13063310C212yesmaximal, complemented
3C22×C22⋊C4×D43C211yesmaximal, characteristic, complemented
4#19137924C2116yesmaximal, direct product factor
5C2×#14582817C212yesmaximal, complemented
6C2×#14582816C212yesmaximal, complemented
7C2×#14582777C212yesmaximal, complemented
8C2×#14582772C211yesmaximal, characteristic, complemented
9C2×#14582754C211yesmaximal, characteristic, complemented
10C2×#14582754C211yesmaximal, characteristic, complemented
11C2×#14582754C211yesmaximal, characteristic, complemented
12C2×C43×#385C211yesmaximal, characteristic, complemented
13C25×D43C2211yescharacteristic
14C25×D43C2211yescharacteristic
15C23×D172—28no—
16C23×D172—216no—
17C23×D172C2212yes—
18C23×D172C2218yes—
19C23×D172C2212yes—
20C23×C4×D43C2211yescharacteristic, complemented
21C23×C4×D43C2211yescharacteristic, complemented
22C2×#13063310—216no—
23C2×#13063310C22116yescomplemented
24C22×Dic43⋊C4C2212yescomplemented
25C22×C22⋊Dic43C2211yescharacteristic
26C22×C22⋊Dic43C2211yescharacteristic
27C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
28C22×(C2×D43)⋊C4C2212yescomplemented
29C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
30C22×(C2×D43)⋊C4C2212yescomplemented
31C22×(C2×D43)⋊C4C2212yescomplemented
32C22×(C2×D43)⋊C4C2212yescomplemented
33C22×(C2×D43)⋊C4C2212yescomplemented
34C22×(C2×D43)⋊C4C2212yescomplemented
35C2×C22⋊C4×D43—28no—
36C2×C22⋊C4×D43C2218yescomplemented
37#14582817C22116yescomplemented
38#14582816C22116yescomplemented
39#14582777C22116yescomplemented
40#14582772C2218yescomplemented
41#14582754C2218yescomplemented
42#14582754C2218yescomplemented
43#14582754C2218yescomplemented
44C2×C43⋊#95C2212yescomplemented
45C24×C4×C43C2211yescharacteristic
46C22×C4⋊C4×C43C2212yescomplemented
47C22×C22⋊C4×C43C2211yescharacteristic
48C22×C22⋊C4×C43C2211yescharacteristic
49C43×#385C2218yescomplemented
50C2×#95×C43C2212yescomplemented
51C24×D43—24no—
52C24×D43—24no—
53C24×D43—24no—
54C24×D43—28no—
55C24×D43—28no—
56C24×D43—24no—
57C24×D43—24no—
58C24×D43—44no—
59C24×D43—44no—
60C24×D43D418yes—
61C24×D43C2311yescharacteristic
62C24×D43C2312yes—
63C24×D43C2314yes—
64C24×D43C2314yes—
65C24×D43C2311yescharacteristic
66C22×D172—2128no—
67C22×D172—28no—
68C22×D172—28no—
69C22×D172—232no—
70C22×D172—28no—
71C22×D172—28no—
72C22×D172—28no—
73C22×D172—264no—
74C22×D172D4116yes—
75C22×D172C2318yes—
76C22×D172C2318yes—
77C23×Dic43C2312yes—
78C23×Dic43C2311yescharacteristic
79C23×Dic43C2311yescharacteristic
80C22×C4×D43—24no—
81C22×C4×D43—24no—
82C22×C4×D43—28no—
83C22×C4×D43—44no—
84C22×C4×D43C2314yescomplemented
85C22×C4×D43C2314yescomplemented
86#13063310—264no—
87C2×Dic43⋊C4—28no—
88C2×Dic43⋊C4C2318yescomplemented
89C2×C22⋊Dic43—24no—
90C2×C22⋊Dic43—24no—
91C2×C22⋊Dic43C2314yes—
92C2×C22⋊Dic43C2314yes—
93C2×(C2×D43)⋊C4—24no—
94C2×(C2×D43)⋊C4—24no—
95C2×(C2×D43)⋊C4—28no—
96C2×(C2×D43)⋊C4—28no—
97C2×(C2×D43)⋊C4—28no—
98C2×(C2×D43)⋊C4—44no—
99C2×(C2×D43)⋊C4—44no—
100C2×(C2×D43)⋊C4—44no—
101C2×(C2×D43)⋊C4C2314yescomplemented
102C2×(C2×D43)⋊C4C2318yescomplemented
103C2×(C2×D43)⋊C4C2314yescomplemented
104C2×(C2×D43)⋊C4C2318yescomplemented
105C2×(C2×D43)⋊C4C2318yescomplemented
106C2×(C2×D43)⋊C4C2318yescomplemented
107C2×(C2×D43)⋊C4C2318yescomplemented
108C2×(C2×D43)⋊C4C2318yescomplemented
109C22⋊C4×D43—232no—
110C43⋊#95C2318yescomplemented
111C25×C43C2311yescharacteristic
112C23×C4×C43—24no—
113C23×C4×C43—28no—
114C23×C4×C43C2311yescharacteristic
115C23×C4×C43C2312yes—
116C23×C4×C43C2311yescharacteristic
117C23×C4×C43C2314yes—
118C23×C4×C43C2312yes—
119C2×C4⋊C4×C43—28no—
120C2×C4⋊C4×C43C2318yescomplemented
121C2×C22⋊C4×C43—24no—
122C2×C22⋊C4×C43—24no—
123C2×C22⋊C4×C43C2314yes—
124C2×C22⋊C4×C43C2314yes—
125#95×C43C2318yescomplemented
126C24×C43—24no—
127C24×C43—24no—
128C24×C43C2×D414yes—
129C24×C43#4114yes—
130C24×C43#4114yes—
131C24×C43C2412yes—
132C24×C43C2411yescharacteristic
133C23×D43—22no—
134C23×D43—22no—
135C23×D43—24no—
136C23×D43—232no—
137C23×D43—232no—
138C23×D43—28no—
139C23×D43—24no—
140C23×D43—24no—
141C23×D43—24no—
142C23×D43—28no—
143C23×D43—28no—
144C23×D43—22no—
145C23×D43—22no—
146C23×D43—24no—
147C23×D43—24no—
148C23×D43—24no—
149C23×D43—24no—
150C23×D43—24no—
151C23×D43—232no—
152C23×D43—216no—
153C23×D43—216no—
154C23×D43—28no—
155C23×D43—28no—
156C23×D43—416no—
157C23×D43—48no—
158C23×D43—48no—
159C23×D43—432no—
160C23×D43—432no—
161C23×D43—432no—
162C23×D43—432no—
163C23×D43—416no—
164C23×D43—416no—
165C23×D43C2×D414yes—
166C23×D43C2×D418yes—
167C23×D43C2×D4116yes—
168C23×D43C2×D418yes—
169C23×D43C2×D414yes—
170C23×D43C2412yes—
171C23×D43C2414yes—
172C23×D43C2412yes—
173C22×C4×C43—232no—
174C22×C4×C43—216no—
175C22×C4×C43—28no—
176C22×C4×C43—24no—
177C22×C4×C43—24no—
178C22×C4×C43—22no—
179C22×C4×C43—22no—
180C22×C4×C43—24no—
181C22×C4×C43—24no—
182C22×C4×C43—24no—
183C22×C4×C43—24no—
184C22×C4×C43—24no—
185C22×C4×C43C2×D418yes—
186C22×C4×C43C2412yes—
187C22×C4×C43C2414yes—
188C22×C4×C43C2412yes—
189C22×C4×C43C2414yes—
190C22×Dic43—24no—
191C22×Dic43—22no—
192C22×Dic43—22no—
193C22×Dic43—24no—
194C22×Dic43—24no—
195C22×Dic43—24no—
196C22×Dic43—24no—
197C22×Dic43C2412yes—
198C22×Dic43C2414yes—
199C22×Dic43C2412yes—
200C2×D172—2256no—
201C2×D172—264no—
202C2×D172—216no—
203C2×D172—264no—
204C2×D172—216no—
205C2×D172—216no—
206C2×D172—216no—
207C2×D172—216no—
208C2×D172C2×D4132yes—
209C2×C4×D43—28no—
210C2×C4×D43—28no—
211C2×C4×D43—216no—
212C2×C4×D43—48no—
213C2×C4×D43—416no—
214C2×C4×D43—416no—
215C4⋊C4×C43—216no—
216C22⋊C4×C43—28no—
217C22⋊C4×C43—28no—
218C22⋊Dic43—28no—
219C22⋊Dic43—28no—
220(C2×D43)⋊C4—28no—
221(C2×D43)⋊C4—28no—
222(C2×D43)⋊C4—216no—
223(C2×D43)⋊C4—216no—
224(C2×D43)⋊C4—216no—
225(C2×D43)⋊C4—48no—
226(C2×D43)⋊C4—48no—
227(C2×D43)⋊C4—48no—
228Dic43⋊C4—216no—
229C23×C43—28no—
230C23×C43—28no—
231C23×C43—216no—
232C23×C43—216no—
233C23×C43—24no—
234C23×C43—24no—
235C23×C43#123116yescomplemented
236C23×C43C22×D414yes—
237C23×C43C22×D412yes—
238C23×C43C22×D414yes—
239C23×C43C2×#4114yes—
240C23×C43C2×#4112yes—
241C23×C43C2×#4114yes—
242C23×C43C2×#4112yes—
243C23×C43H(5,𝔽2)14yes—
244C23×C43C2511yescharacteristic
245C22×D43—28no—
246C22×D43—28no—
247C22×D43—216no—
248C22×D43—216no—
249C22×D43—22no—
250C22×D43—22no—
251C22×D43—24no—
252C22×D43—232no—
253C22×D43—28no—
254C22×D43—216no—
255C22×D43—28no—
256C22×D43—232no—
257C22×D43—28no—
258C22×D43—216no—
259C22×D43—216no—
260C22×D43—24no—
261C22×D43—24no—
262C22×D43—24no—
263C22×D43—22no—
264C22×D43—24no—
265C22×D43—22no—
266C22×D43—24no—
267C22×D43—24no—
268C22×D43—24no—
269C22×D43—24no—
270C22×D43—232no—
271C22×D43—416no—
272C22×D43—4128no—
273C22×D43—432no—
274C22×D43—432no—
275C22×D43—432no—
276C22×D43—432no—
277C22×D43—4128no—
278C22×D43—416no—
279C22×D43—48no—
280C22×D43—416no—
281C22×D43—48no—
282C22×D43—48no—
283C22×D43—48no—
284C22×D43—48no—
285C22×D43—48no—
286C22×D43#120116yes—
287C22×D43C22×D414yes—
288C22×D43C22×D418yes—
289C22×D43C22×D418yes—
290C22×D43C22×D414yes—
291C2×C4×C43—232no—
292C2×C4×C43—216no—
293C2×C4×C43—24no—
294C2×C4×C43—24no—
295C2×C4×C43—24no—
296C2×C4×C43—22no—
297C2×C4×C43—22no—
298C2×C4×C43—24no—
299C2×C4×C43—24no—
300C2×C4×C43—24no—
301C2×C4×C43—24no—
302C2×C4×C43—44no—
303C2×C4×C43—44no—
304C2×C4×C43—48no—
305C2×C4×C43C22×D418yes—
306C2×Dic43—24no—
307C2×Dic43—24no—
308C2×Dic43—22no—
309C2×Dic43—22no—
310C2×Dic43—24no—
311C2×Dic43—24no—
312C2×Dic43—24no—
313C2×Dic43—44no—
314C2×Dic43—44no—
315C2×Dic43—48no—
316D172—264no—
317D172—264no—
318C4×D43—416no—
319C4×D43—416no—
320C2×#2405—431nomaximal, Sylow
321C22×C43—232no—
322C22×C43—24no—
323C22×C43—24no—
324C22×C43—28no—
325C22×C43—28no—
326C22×C43C2×#12014yes—
327C22×C43C2×#12314yes—
328C22×C43C2×#12318yescomplemented
329C22×C43#53414yes—
330C22×C43#54618yes—
331C22×C43#54618yes—
332C22×C43C23×D411yescharacteristic
333C22×C43C23×D412yes—
334C22×C43C22×#4111yescharacteristic
335C22×C43C22×#4111yescharacteristic
336C22×C43C2×H(5,𝔽2)12yes—
337C2×D43—232no—
338C2×D43—24no—
339C2×D43—24no—
340C2×D43—28no—
341C2×D43—28no—
342C2×D43—28no—
343C2×D43—24no—
344C2×D43—24no—
345C2×D43—24no—
346C2×D43—28no—
347C2×D43—28no—
348C2×D43—464no—
349C2×D43—464no—
350C2×D43—416no—
351C2×D43—432no—
352C2×D43—44no—
353C2×D43—44no—
354C2×D43—44no—
355C2×D43—44no—
356C2×D43—44no—
357C2×D43—44no—
358C2×D43C2×#12018yes—
359C4×C43—28no—
360C4×C43—42no—
361C4×C43—42no—
362C4×C43—44no—
363Dic43—42no—
364Dic43—42no—
365Dic43—44no—
366C24×D4—431no—
367C22×#123—432no—
368C23×C22⋊C4—431no—
369#2405—4316no—
370C2×#394—432no—
371C2×#394—432no—
372C2×#386—432no—
373C2×#385—431no—
374C2×#385D4311yescharacteristic, complemented
375C2×#379—431no—
376C2×#379—431no—
377C2×#379—431no—
378C2×C43—28no—
379C2×C43#240518yescomplemented
380C2×C43C22×#12011yescharacteristic
381C2×C43C22×#12311yescharacteristic
382C2×C43C2×#53411yescharacteristic
383C2×C43C2×#54612yes—
384C2×C43C2×#54612yes—
385D43—28no—
386D43—44no—
387D43—48no—
388C26—431no—
389C26—431no—
390C23×D4—432no—
391C23×D4—432no—
392C23×D4—438no—
393C23×D4—8616no—
394C23×D4—868no—
395C24×C4—431no—
396C24×C4—431no—
397C24×C4C2×D4311yescharacteristic
398C2×#123—4316no—
399C2×#123—8616no—
400C22×C4⋊C4—432no—
401C22×C4⋊C4C2×D4312yescomplemented
402C22×C22⋊C4—431no—
403C22×C22⋊C4—431no—
404C22×C22⋊C4—431no—
405C22×C22⋊C4—431no—
406C22×C22⋊C4—432no—
407C22×C22⋊C4—432no—
408C22×C22⋊C4—432no—
409C22×C22⋊C4—432no—
410C22×C22⋊C4—432no—
411C22×C22⋊C4—432no—
412C22×C22⋊C4—438no—
413C22×C22⋊C4—868no—
414C22×C22⋊C4C2×D4311yescharacteristic
415C22×C22⋊C4C2×D4311yescharacteristic
416#394—4316no—
417#394—4316no—
418#386—4316no—
419#385—438no—
420#385C2×D4318yescomplemented
421#379—438no—
422#379—438no—
423#379—438no—
424C2×#95—432no—
425C2×#95C2×D4312yescomplemented
426C43C2×#240511yescharacteristic, complemented, Sylow
427C25—431no—
428C25—432no—
429C25—431no—
430C25—438no—
431C25—434no—
432C25—434no—
433C25—868no—
434C25—868no—
435C25—864no—
436C25—864no—
437C25—864no—
438C25—864no—
439C25—864no—
440C25—1724no—
441C25—1724no—
442C25C22×D4311yescharacteristic
443C22×D4—4316no—
444C22×D4—438no—
445C22×D4—438no—
446C22×D4—8664no—
447C22×D4—868no—
448C22×D4—868no—
449C22×D4—868no—
450C22×D4—868no—
451C22×D4—8632no—
452C22×D4—86128no—
453C22×D4—868no—
454C23×C4—24no—
455C23×C4—28no—
456C23×C4—432no—
457C23×C4—431no—
458C23×C4—431no—
459C23×C4—434no—
460C23×C4—434no—
461C23×C4—864no—
462C23×C4—864no—
463C23×C4—868no—
464C23×C4—1724no—
465C23×C4C22×D4314yes—
466C23×C4C22×D4312yes—
467C23×C4C22×D4311yescharacteristic
468C23×C4C22×D4311yescharacteristic
469C23×C4C22×D4312yes—
470#123—8664no—
471C2×C4⋊C4—28no—
472C2×C4⋊C4—438no—
473C2×C4⋊C4—868no—
474C2×C4⋊C4C22×D4318yescomplemented
475C2×C22⋊C4—24no—
476C2×C22⋊C4—24no—
477C2×C22⋊C4—434no—
478C2×C22⋊C4—434no—
479C2×C22⋊C4—434no—
480C2×C22⋊C4—434no—
481C2×C22⋊C4—438no—
482C2×C22⋊C4—438no—
483C2×C22⋊C4—438no—
484C2×C22⋊C4—438no—
485C2×C22⋊C4—438no—
486C2×C22⋊C4—438no—
487C2×C22⋊C4—8632no—
488C2×C22⋊C4—864no—
489C2×C22⋊C4—864no—
490C2×C22⋊C4—868no—
491C2×C22⋊C4—868no—
492C2×C22⋊C4—868no—
493C2×C22⋊C4—864no—
494C2×C22⋊C4—864no—
495C2×C22⋊C4—1724no—
496C2×C22⋊C4—1724no—
497C2×C22⋊C4—1724no—
498C2×C22⋊C4C22×D4314yes—
499C2×C22⋊C4C22×D4314yes—
500#95—438no—
501#95C22×D4318yescomplemented
502C24—24no—
503C24—24no—
504C24—438no—
505C24—434no—
506C24—432no—
507C24—438no—
508C24—434no—
509C24—434no—
510C24—432no—
511C24—4316no—
512C24—8632no—
513C24—8616no—
514C24—8616no—
515C24—8632no—
516C24—862no—
517C24—862no—
518C24—864no—
519C24—8632no—
520C24—868no—
521C24—864no—
522C24—864no—
523C24—864no—
524C24—868no—
525C24—862no—
526C24—864no—
527C24—868no—
528C24—862no—
529C24—864no—
530C24—864no—
531C24—864no—
532C24—864no—
533C24—868no—
534C24—868no—
535C24—17216no—
536C24—1728no—
537C24—1728no—
538C24—17232no—
539C24—17232no—
540C24—17232no—
541C24—17232no—
542C24—17216no—
543C24—17216no—
544C24#1062189814yes—
545C24D4×D4314yes—
546C24#1062190214yes—
547C24C23×D4312yes—
548C24C23×D4311yescharacteristic
549C2×D4—4332no—
550C2×D4—8664no—
551C2×D4—8616no—
552C2×D4—8616no—
553C2×D4—8616no—
554C2×D4—8616no—
555C2×D4—86256no—
556C2×D4—8664no—
557C2×D4—8616no—
558C22×C4—232no—
559C22×C4—28no—
560C22×C4—24no—
561C22×C4—24no—
562C22×C4—216no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—24no—
566C22×C4—24no—
567C22×C4—24no—
568C22×C4—24no—
569C22×C4—24no—
570C22×C4—432no—
571C22×C4—434no—
572C22×C4—432no—
573C22×C4—868no—
574C22×C4—868no—
575C22×C4—8616no—
576C22×C4—864no—
577C22×C4—862no—
578C22×C4—862no—
579C22×C4—864no—
580C22×C4—864no—
581C22×C4—864no—
582C22×C4—864no—
583C22×C4—1728no—
584C22×C4—17216no—
585C22×C4—17216no—
586C22×C4D4×D4318yes—
587C22×C4C23×D4312yes—
588C22×C4C23×D4314yes—
589C22×C4C23×D4312yes—
590C22×C4C23×D4314yes—
591C4⋊C4—216no—
592C4⋊C4—8616no—
593C22⋊C4—28no—
594C22⋊C4—28no—
595C22⋊C4—868no—
596C22⋊C4—868no—
597C22⋊C4—8616no—
598C22⋊C4—8616no—
599C22⋊C4—8616no—
600C22⋊C4—868no—
601C22⋊C4—868no—
602C22⋊C4—1728no—
603C22⋊C4—1728no—
604C22⋊C4—1728no—
605C23—28no—
606C23—28no—
607C23—24no—
608C23—24no—
609C23—216no—
610C23—216no—
611C23—4316no—
612C23—438no—
613C23—434no—
614C23—438no—
615C23—434no—
616C23—8632no—
617C23—8632no—
618C23—868no—
619C23—868no—
620C23—862no—
621C23—862no—
622C23—864no—
623C23—8616no—
624C23—8616no—
625C23—8616no—
626C23—868no—
627C23—868no—
628C23—8632no—
629C23—868no—
630C23—864no—
631C23—864no—
632C23—864no—
633C23—864no—
634C23—862no—
635C23—864no—
636C23—862no—
637C23—864no—
638C23—864no—
639C23—864no—
640C23—8616no—
641C23—8616no—
642C23—17216no—
643C23—17232no—
644C23—17232no—
645C23—17232no—
646C23—17232no—
647C23—172128no—
648C23—17216no—
649C23—172128no—
650C23—1728no—
651C23—17216no—
652C23—1728no—
653C23—1728no—
654C23—1728no—
655C23—1728no—
656C23—1728no—
657C23#13063310116yescomplemented
658C23C2×D4×D4314yes—
659C23C2×D4×D4312yes—
660C23C2×D4×D4314yes—
661C23C2×#1062189814yes—
662C23C2×#1062189812yes—
663C23C2×#1062190214yes—
664C23C2×#1062190212yes—
665C23#1306337114yes—
666C23C24×D4311yescharacteristic
667D4—8664no—
668D4—8664no—
669C2×C4—232no—
670C2×C4—216no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—48no—
683C2×C4—864no—
684C2×C4—862no—
685C2×C4—862no—
686C2×C4—864no—
687C2×C4—864no—
688C2×C4—864no—
689C2×C4—864no—
690C2×C4—17216no—
691C2×C4—17216no—
692C2×C4—1724no—
693C2×C4—1724no—
694C2×C4—1728no—
695C2×C4C2×D4×D4318yes—
696C22—28no—
697C22—28no—
698C22—24no—
699C22—24no—
700C22—232no—
701C22—438no—
702C22—868no—
703C22—868no—
704C22—864no—
705C22—864no—
706C22—8632no—
707C22—868no—
708C22—868no—
709C22—868no—
710C22—864no—
711C22—864no—
712C22—864no—
713C22—17264no—
714C22—17264no—
715C22—1724no—
716C22—1724no—
717C22—1724no—
718C22—1724no—
719C22—1724no—
720C22—1724no—
721C22—17216no—
722C22—17232no—
723C22#120×D4314yes—
724C22C2×#1306331014yes—
725C22C2×#1306331018yescomplemented
726C22#1458346014yes—
727C22#1458354018yes—
728C22#1458354518yes—
729C22C22×D4×D4312yes—
730C22C22×D4×D4311yescharacteristic
731C22C22×#1062189811yescharacteristic
732C22C22×#1062190211yescharacteristic
733C22C2×#1306337112yes—
734C4—28no—
735C4—44no—
736C4—42no—
737C4—42no—
738C4—1724no—
739C4—1722no—
740C4—1722no—
741C2—28no—
742C2—868no—
743C2—1728no—
744C2—1724no—
745C2#1913792418yesdirect product factor
746C2C2×#120×D4311yescharacteristic
747C2C22×#1306331011yescharacteristic
748C2C2×#1458346011yescharacteristic
749C2C2×#1458354012yes—
750C2C2×#1458354512yes—
subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#385C2
socleC24×C43C24
prime radicalC24×D172C2
hypercenterC2×#385D43
hypocenterC43C2×#2405
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. C22×#13063310C2semidirect
3. C22×C22⋊C4×D43C2semidirect
4. #19137924C2direct (N × H)
5. C2×#14582817C2semidirect
6. C2×#14582816C2semidirect
7. C2×#14582777C2semidirect
8. C2×#14582772C2semidirect
9. C2×#14582754C2semidirect
10. C2×#14582754C2semidirect
11. C2×#14582754C2semidirect
12. C2×C43×#385C2semidirect
20. C23×C4×D43C22semidirect
21. C23×C4×D43C22semidirect
23. C2×#13063310C22semidirect
24. C22×Dic43⋊C4C22semidirect
27. C22×(C2×D43)⋊C4C22semidirect
28. C22×(C2×D43)⋊C4C22semidirect
29. C22×(C2×D43)⋊C4C22semidirect
30. C22×(C2×D43)⋊C4C22semidirect
31. C22×(C2×D43)⋊C4C22semidirect
32. C22×(C2×D43)⋊C4C22semidirect
33. C22×(C2×D43)⋊C4C22semidirect
34. C22×(C2×D43)⋊C4C22semidirect
36. C2×C22⋊C4×D43C22semidirect
37. #14582817C22semidirect
38. #14582816C22semidirect
39. #14582777C22semidirect
40. #14582772C22semidirect
41. #14582754C22semidirect
42. #14582754C22semidirect
43. #14582754C22semidirect
44. C2×C43⋊#95C22semidirect
46. C22×C4⋊C4×C43C22semidirect
49. C43×#385C22semidirect
50. C2×#95×C43C22semidirect
84. C22×C4×D43C23semidirect
85. C22×C4×D43C23semidirect
88. C2×Dic43⋊C4C23semidirect
101. C2×(C2×D43)⋊C4C23semidirect
102. C2×(C2×D43)⋊C4C23semidirect
103. C2×(C2×D43)⋊C4C23semidirect
104. C2×(C2×D43)⋊C4C23semidirect
105. C2×(C2×D43)⋊C4C23semidirect
106. C2×(C2×D43)⋊C4C23semidirect
107. C2×(C2×D43)⋊C4C23semidirect
108. C2×(C2×D43)⋊C4C23semidirect
110. C43⋊#95C23semidirect
120. C2×C4⋊C4×C43C23semidirect
125. #95×C43C23semidirect
235. C23×C43#123semidirect
328. C22×C43C2×#123semidirect
374. C2×#385D43semidirect
379. C2×C43#2405semidirect
401. C22×C4⋊C4C2×D43semidirect
420. #385C2×D43semidirect
425. C2×#95C2×D43semidirect
426. C43C2×#2405semidirect
474. C2×C4⋊C4C22×D43semidirect
501. #95C22×D43semidirect
657. C23#13063310semidirect
725. C22C2×#13063310semidirect
745. C2#19137924direct (N × H)

Maximal subgroups

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

subgroupindex
C24×D1722
C22×#130633102
C22×C22⋊C4×D432
#191379242
C2×#145828172
C2×#145828162
C2×#145827772
C2×#145827722
C2×#145827542
C2×C43×#3852
C2×#240543