Finite Group Databasebeta

← C2×#444×D43 #25960890

Subgroups — C2×#444×D43 #25960890

Order 11008.

2710 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#135×D43C211yesmaximal, characteristic
2C2×#131×D43C212yesmaximal, complemented
3C2×#14583022C211yesmaximal, characteristic, complemented
4C2×#14583021C211yesmaximal, characteristic, complemented
5C2×#14583020C211yesmaximal, characteristic, complemented
6C2×#14583019C212yesmaximal, complemented
7C2×#14583018C212yesmaximal, complemented
8#444×D43C2116yesmaximal, direct product factor
9C2×#108×D43C211yesmaximal, characteristic, complemented
10C2×#104×D43C212yesmaximal, complemented
11C2×#97×D43C211yesmaximal, characteristic, complemented
12C2×C43×#444C211yesmaximal, characteristic, complemented
13C2×#41×D43C2212yes—
14C2×#13063348C411yescharacteristic, complemented
15C2×#13063347C2211yescharacteristic
16C2×#13063346C412yescomplemented
17C2×#13063345C2212yes—
18C2×#13063344C411yescharacteristic, complemented
19#135×D43C418yescomplemented
20#135×D43C2218yes—
21C2×Q16×D43C411yescharacteristic, complemented
22C2×SD16×D43C412yescomplemented
23C2×D8×D43C411yescharacteristic, complemented
24C2×#13063333—22no—
25C2×#13063333C2212yescomplemented
26C2×#13063332C2212yescomplemented
27C2×#13063331—22no—
28C2×#13063331C2212yescomplemented
29#131×D43—28no—
30#131×D43C22116yescomplemented
31C2×M16×D43—22no—
32C2×M16×D43C2212yes—
33C22×C8×D43—22no—
34C22×C8×D43C2211yescharacteristic
35C22×C8×D43C2211yescharacteristic
36C2×C42×D43C2211yescharacteristic
37#14583022C2218yescomplemented
38#14583021C2218yescomplemented
39#14583020C2218yescomplemented
40#14583019C22116yescomplemented
41#14583018C22116yescomplemented
42C2×#13063261C2211yescharacteristic, complemented
43C2×#13063260C2212yescomplemented
44#108×D43C2218yescomplemented
45C2×#13063253C2212yescomplemented
46C2×#13063252C2212yescomplemented
47C2×#13063251C2212yescomplemented
48#104×D43C22116yescomplemented
49C2×#13063236C2211yescharacteristic, complemented
50C2×#13063235C2211yescharacteristic, complemented
51C2×#13063235C2211yescharacteristic, complemented
52#97×D43C2218yescomplemented
53C2×#135×C43C2211yescharacteristic
54C2×#131×C43C2212yescomplemented
55C43×#444C2218yescomplemented
56C2×#108×C43C2211yescharacteristic, complemented
57C2×#104×C43C2212yescomplemented
58C2×#97×C43C2211yescharacteristic, complemented
59C2×#10621902C2×C412yes—
60C2×#10621898—22no—
61C2×#10621898C2312yes—
62C2×#10621900—22no—
63C2×#10621900C2×C412yes—
64#41×D43—24no—
65#41×D43—24no—
66#41×D43C2×C418yes—
67#41×D43C2318yes—
68C2×Q8×D43C2×C412yes—
69C2×D4×D43—22no—
70C2×D4×D43C2×C412yes—
71C22×C4×D43—22no—
72C22×C4×D43—21no—
73C22×C4×D43C2311yescharacteristic
74#13063348C2×C418yescomplemented
75#13063347C2×C414yescomplemented
76#13063347C2314yes—
77#13063346C2×C4116yescomplemented
78#13063345C2×C418yescomplemented
79#13063345C2318yes—
80#13063344C2×C418yescomplemented
81C2×Dic172C2×C411yescharacteristic, complemented
82C2×#10621885C2×C412yescomplemented
83Q16×D43C2×C418yescomplemented
84C2×#10621873C2×C412yescomplemented
85C2×#10621883C2×C412yescomplemented
86C2×#10621884C2×C412yescomplemented
87SD16×D43C2×C4116yescomplemented
88C2×D344C2×C411yescharacteristic, complemented
89C2×#10621882C2×C412yescomplemented
90D8×D43C2×C418yescomplemented
91#13063333—24no—
92#13063333—216no—
93#13063333C2318yescomplemented
94#13063332—24no—
95#13063332C2318yescomplemented
96#13063331—24no—
97#13063331—216no—
98#13063331C2318yescomplemented
99C2×#10621877—22no—
100C2×#10621877C2312yes—
101C2×#10621872—22no—
102C2×#10621872—22no—
103C2×#10621872—22no—
104M16×D43—24no—
105M16×D43—216no—
106M16×D43C2318yes—
107C22×C43⋊C8—22no—
108C22×C43⋊C8C2311yescharacteristic
109C22×C43⋊C8C2311yescharacteristic
110C2×C8×D43—22no—
111C2×C8×D43—22no—
112C2×C8×D43—22no—
113C2×C8×D43—216no—
114C2×C8×D43C2×C411yescharacteristic
115C2×C8×D43C2×C411yescharacteristic
116C2×C8×D43C2×C414yes—
117C2×C8×D43C2×C411yescharacteristic
118C2×C8×D43C2×C411yescharacteristic
119C2×C8×D43D412yes—
120C2×C8×D43D414yes—
121C2×C8×D43D412yes—
122C2×C8×D43C2314yes—
123C2×C8×D43C2314yes—
124C2×C4×Dic43—21no—
125C2×C4×Dic43C2311yescharacteristic
126C42×D43—22no—
127C42×D43C2314yes—
128#13063261C2314yescomplemented
129#13063260C2318yescomplemented
130#13063253C2318yescomplemented
131#13063252C2318yescomplemented
132#13063251C2318yescomplemented
133#13063236C2314yescomplemented
134#13063235C2314yescomplemented
135#13063235C2314yescomplemented
136C2×#41×C43C2312yes—
137#135×C43C2×C414yescomplemented
138#135×C43C2314yes—
139C2×Q16×C43C2×C411yescharacteristic, complemented
140C2×SD16×C43C2×C412yescomplemented
141C2×D8×C43C2×C411yescharacteristic, complemented
142#131×C43—24no—
143#131×C43C2318yescomplemented
144C2×M16×C43—22no—
145C2×M16×C43C2312yes—
146C22×C8×C43—22no—
147C22×C8×C43C2311yescharacteristic
148C22×C8×C43C2311yescharacteristic
149C2×C42×C43C2311yescharacteristic
150#108×C43C2314yescomplemented
151#104×C43C2318yescomplemented
152#97×C43C2314yescomplemented
153C23×D43—22no—
154C23×D43#4111yescharacteristic
155#41×C43—22no—
156#41×C43—22no—
157#41×C43C22×C414yes—
158#41×C43C2414yes—
159C2×Q8×C43C22×C412yes—
160C2×D4×C43—22no—
161C2×D4×C43C22×C412yes—
162C22×C4×C43—22no—
163C22×C4×C43—21no—
164C22×C4×C43C2411yescharacteristic
165C2×C22⋊D43—22no—
166C2×C22⋊D43—22no—
167C2×C22⋊D43—22no—
168C22×Dic43—22no—
169C22×Dic43—21no—
170C22×Dic43#4111yescharacteristic
171#10621902—24no—
172#10621902C22×C418yes—
173Q8×D43—24no—
174Q8×D43C22×C418yes—
175#10621900—28no—
176#10621900—28no—
177#10621900—24no—
178#10621900C22×C418yes—
179D4×D43—24no—
180D4×D43—28no—
181D4×D43—28no—
182D4×D43C22×C418yes—
183#10621898—22no—
184#10621898—22no—
185#10621898—28no—
186#10621898—28no—
187#10621898C22×C414yes—
188#10621898C2414yes—
189C2×D172—22no—
190C2×D172C22×C412yes—
191C2×C4×D43—22no—
192C2×C4×D43—22no—
193C2×C4×D43—28no—
194C2×C4×D43—28no—
195C2×C4×D43—22no—
196C2×C4×D43—24no—
197C2×C4×D43—44no—
198C2×C4×D43C22×C411yescharacteristic
199C2×C4×D43C22×C412yes—
200C2×C4×D43C22×C411yescharacteristic
201C2×C4×D43C2×D411yescharacteristic
202C2×C4×D43C2×D412yes—
203C2×C4×D43C2×D411yescharacteristic
204C2×C4×D43#4112yes—
205C2×C4×D43C2412yes—
206C2×Dic86—22no—
207C2×Dic86C22×C412yes—
208Q16×C43C22×C414yescomplemented
209SD16×C43C22×C418yescomplemented
210D8×C43C22×C414yescomplemented
211M16×C43—22no—
212M16×C43—28no—
213M16×C43C2414yes—
214C2×C8×C43—22no—
215C2×C8×C43—28no—
216C2×C8×C43C22×C411yescharacteristic
217C2×C8×C43C22×C411yescharacteristic
218C2×C8×C43C22×C412yes—
219C2×C8×C43C2×D412yes—
220C2×C8×C43C2×D412yes—
221C2×C8×C43C2412yes—
222C2×C8×C43C2412yes—
223C42×C43—21no—
224C42×C43C2412yes—
225#10621885C22×C418yescomplemented
226#10621884C22×C418yescomplemented
227#10621883C22×C418yescomplemented
228#10621882C22×C418yescomplemented
229C4×Dic43—21no—
230C4×Dic43—24no—
231C4×Dic43C2412yes—
232#10621877—22no—
233#10621877—28no—
234#10621877C2414yes—
235C2×C43⋊C8—22no—
236C2×C43⋊C8—28no—
237C2×C43⋊C8C22×C411yescharacteristic
238C2×C43⋊C8C22×C411yescharacteristic
239C2×C43⋊C8C22×C412yes—
240C2×C43⋊C8C2×D412yes—
241C2×C43⋊C8C2×D412yes—
242C2×C43⋊C8C2412yes—
243C2×C43⋊C8C2412yes—
244Dic172C22×C414yescomplemented
245D344C22×C414yescomplemented
246#10621873C22×C418yescomplemented
247#10621872—28no—
248#10621872—28no—
249#10621872—28no—
250C8×D43—28no—
251C8×D43—28no—
252C8×D43—28no—
253C8×D43C22×C414yes—
254C8×D43C22×C414yes—
255C8×D43C22×C414yes—
256C8×D43C22×C414yes—
257C8×D43C2×D418yes—
258C8×D43C2×D418yes—
259C23×C43—22no—
260C23×C43C2×#4111yescharacteristic
261C22×D43—24no—
262C22×D43—22no—
263C22×D43—28no—
264C22×D43—48no—
265C22×D43C4×D411yescharacteristic
266C22×D43C4×D412yes—
267C22×D43C4×D411yescharacteristic
268C22×D43C2×#4112yes—
269Q8×C43—22no—
270Q8×C43C23×C414yes—
271D4×C43—24no—
272D4×C43—24no—
273D4×C43—22no—
274D4×C43C23×C414yes—
275C2×C4×C43—22no—
276C2×C4×C43—24no—
277C2×C4×C43—24no—
278C2×C4×C43—22no—
279C2×C4×C43—42no—
280C2×C4×C43C23×C411yescharacteristic
281C2×C4×C43C23×C411yescharacteristic
282C2×C4×C43C22×D411yescharacteristic
283C2×C4×C43C22×D411yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43C2511yescharacteristic
286C22⋊D43—24no—
287C22⋊D43—24no—
288C22⋊D43—28no—
289C22⋊D43—28no—
290C2×Dic43—22no—
291C2×Dic43—28no—
292C2×Dic43—22no—
293C2×Dic43—42no—
294C2×Dic43C4×D411yescharacteristic
295C2×Dic43C4×D411yescharacteristic
296C2×Dic43C4×D412yes—
297C2×Dic43C2×#4112yes—
298D172—28no—
299D172—22no—
300D172C23×C414yes—
301C4×D43—28no—
302C4×D43—24no—
303C4×D43—24no—
304C4×D43—28no—
305C4×D43—48no—
306C4×D43C4×D412yes—
307C4×D43C4×D412yes—
308C4×D43C4×D412yes—
309C4×D43C4×D412yes—
310C4×D43C23×C412yes—
311C4×D43C23×C412yes—
312C4×D43C22×D412yes—
313C4×D43C22×D412yes—
314Dic86—22no—
315Dic86—28no—
316Dic86C23×C414yes—
317C8×C43—24no—
318C8×C43C23×C412yes—
319C8×C43C23×C412yes—
320C8×C43C22×D414yes—
321C43⋊C8—24no—
322C43⋊C8C23×C412yes—
323C43⋊C8C23×C412yes—
324C43⋊C8C22×D414yes—
325C22×#444—431nomaximal, Sylow
326C22×C43—22no—
327C22×C43—24no—
328C22×C43—44no—
329C22×C43C2×C4×D411yescharacteristic
330C22×C43C2×C4×D411yescharacteristic
331C22×C43C22×#4111yescharacteristic
332C2×D43—22no—
333C2×D43—24no—
334C2×D43—24no—
335C2×D43—24no—
336C2×D43—44no—
337C2×D43—416no—
338C2×D43#44414yesdirect product factor
339C2×D43C2×C4×D412yes—
340C2×D43C2×C4×D412yes—
341C4×C43—24no—
342C4×C43—42no—
343C4×C43C2×C4×D411yescharacteristic
344C4×C43C2×C4×D411yescharacteristic
345C4×C43C24×C411yescharacteristic
346C4×C43C23×D411yescharacteristic
347Dic43—24no—
348Dic43—42no—
349Dic43C2×C4×D412yes—
350Dic43C2×C4×D412yes—
351C22×#135—431no—
352C22×#131—432no—
353C2×#444—4316no—
354C2×#444—431no—
355C2×#444—432no—
356C2×#444—431no—
357C2×#444—431no—
358C2×#444—432no—
359C2×#444D4311yescharacteristic, direct product factor
360C22×#108—431no—
361C22×#104—432no—
362C22×#97—431no—
363C2×C43—21no—
364C2×C43—21no—
365C2×C43—44no—
366C2×C43C2×#44412yescomplemented
367C2×C43C22×C4×D411yescharacteristic
368D43—22no—
369D43—44no—
370D43C2×#44414yesdirect product factor
371C22×#41—432no—
372C2×#135—432no—
373C2×#135—438no—
374C2×#135—438no—
375C2×#135—431no—
376C2×#135—432no—
377C2×#135—431no—
378C2×#135—431no—
379C2×#135C2×D4311yescharacteristic
380C22×Q16—431no—
381C22×SD16—432no—
382C22×D8—431no—
383C2×#131—432no—
384C2×#131—4316no—
385C2×#131—432no—
386C2×#131—432no—
387C2×#131—862no—
388C2×#131—862no—
389C2×#131—868no—
390C2×#131C2×D4312yescomplemented
391C22×M16—432no—
392C22×M16—862no—
393C23×C8—431no—
394C23×C8—431no—
395C23×C8—862no—
396C22×C42—431no—
397#444—438no—
398#444—4316no—
399#444—438no—
400#444—4316no—
401#444—438no—
402#444C2×D4318yesdirect product factor
403C2×#108—432no—
404C2×#108—431no—
405C2×#108—438no—
406C2×#108C2×D4311yescharacteristic, complemented
407C2×#104—432no—
408C2×#104—432no—
409C2×#104—432no—
410C2×#104—4316no—
411C2×#104C2×D4312yescomplemented
412C2×#97—431no—
413C2×#97—431no—
414C2×#97—431no—
415C2×#97—438no—
416C2×#97C2×D4311yescharacteristic, complemented
417C43C22×#44411yescharacteristic, complemented, Sylow
418C2×#41—438no—
419C2×#41—438no—
420C2×#41—432no—
421C2×#41—432no—
422C2×#41—432no—
423C2×#41—862no—
424C2×#41—862no—
425C2×#41—864no—
426C2×#41—864no—
427C2×#41C22×D4312yes—
428C22×Q8—432no—
429C22×D4—432no—
430C22×D4—862no—
431C23×C4—431no—
432C23×C4—862no—
433C23×C4—861no—
434#135—438no—
435#135—438no—
436#135—438no—
437#135—4316no—
438#135—438no—
439#135—434no—
440#135—434no—
441#135C4×D4314yescomplemented
442#135C22×D4314yes—
443C2×Q16—432no—
444C2×Q16—438no—
445C2×Q16—431no—
446C2×Q16C4×D4311yescharacteristic, complemented
447C2×SD16—432no—
448C2×SD16—432no—
449C2×SD16—4316no—
450C2×SD16—432no—
451C2×SD16C4×D4312yescomplemented
452C2×D8—432no—
453C2×D8—438no—
454C2×D8—431no—
455C2×D8C4×D4311yescharacteristic, complemented
456#131—24no—
457#131—438no—
458#131—438no—
459#131—438no—
460#131—8616no—
461#131—864no—
462#131—8616no—
463#131—864no—
464#131—864no—
465#131C22×D4318yescomplemented
466C2×M16—22no—
467C2×M16—432no—
468C2×M16—438no—
469C2×M16—862no—
470C2×M16—862no—
471C2×M16—8616no—
472C2×M16—862no—
473C2×M16—864no—
474C2×M16—862no—
475C2×M16C22×D4312yes—
476C22×C8—22no—
477C22×C8—431no—
478C22×C8—431no—
479C22×C8—431no—
480C22×C8—431no—
481C22×C8—431no—
482C22×C8—431no—
483C22×C8—434no—
484C22×C8—432no—
485C22×C8—434no—
486C22×C8—432no—
487C22×C8—434no—
488C22×C8—434no—
489C22×C8—862no—
490C22×C8—8616no—
491C22×C8—862no—
492C22×C8—862no—
493C22×C8—862no—
494C22×C8C22×D4311yescharacteristic
495C22×C8C22×D4311yescharacteristic
496C2×C42—431no—
497C2×C42—434no—
498C2×C42—862no—
499C2×C42—861no—
500C2×C42C22×D4311yescharacteristic
501#108—438no—
502#108—434no—
503#108C22×D4314yescomplemented
504#104—438no—
505#104—438no—
506#104—438no—
507#104C22×D4318yescomplemented
508#97—434no—
509#97—434no—
510#97—434no—
511#97C22×D4314yescomplemented
512C24—431no—
513C24—862no—
514#41—22no—
515#41—22no—
516#41—438no—
517#41—438no—
518#41—434no—
519#41—434no—
520#41—868no—
521#41—868no—
522#41—868no—
523#41—868no—
524#41—864no—
525#41—864no—
526#41—862no—
527#41—862no—
528#41C2×C4×D4314yes—
529#41C23×D4314yes—
530C2×Q8—438no—
531C2×Q8—432no—
532C2×Q8—862no—
533C2×Q8—864no—
534C2×Q8C2×C4×D4312yes—
535C2×D4—22no—
536C2×D4—438no—
537C2×D4—432no—
538C2×D4—862no—
539C2×D4—864no—
540C2×D4—862no—
541C2×D4—868no—
542C2×D4—868no—
543C2×D4—862no—
544C2×D4—862no—
545C2×D4C2×C4×D4312yes—
546C22×C4—22no—
547C22×C4—21no—
548C22×C4—431no—
549C22×C4—431no—
550C22×C4—431no—
551C22×C4—432no—
552C22×C4—432no—
553C22×C4—431no—
554C22×C4—431no—
555C22×C4—432no—
556C22×C4—432no—
557C22×C4—868no—
558C22×C4—862no—
559C22×C4—868no—
560C22×C4—862no—
561C22×C4—864no—
562C22×C4—862no—
563C22×C4—862no—
564C22×C4—861no—
565C22×C4—1724no—
566C22×C4C23×D4311yescharacteristic
567Q16—438no—
568Q16—434no—
569Q16C2×C4×D4314yescomplemented
570SD16—438no—
571SD16—438no—
572SD16—438no—
573SD16C2×C4×D4318yescomplemented
574D8—438no—
575D8—434no—
576D8C2×C4×D4314yescomplemented
577M16—22no—
578M16—28no—
579M16—434no—
580M16—868no—
581M16—868no—
582M16—868no—
583M16—862no—
584M16—868no—
585M16C23×D4314yes—
586C2×C8—22no—
587C2×C8—28no—
588C2×C8—431no—
589C2×C8—431no—
590C2×C8—432no—
591C2×C8—432no—
592C2×C8—432no—
593C2×C8—432no—
594C2×C8—432no—
595C2×C8—434no—
596C2×C8—434no—
597C2×C8—434no—
598C2×C8—434no—
599C2×C8—438no—
600C2×C8—438no—
601C2×C8—868no—
602C2×C8—868no—
603C2×C8—868no—
604C2×C8—862no—
605C2×C8—868no—
606C2×C8C2×C4×D4311yescharacteristic
607C2×C8C2×C4×D4311yescharacteristic
608C2×C8C2×C4×D4312yes—
609C2×C8D4×D4312yes—
610C2×C8D4×D4312yes—
611C2×C8C23×D4312yes—
612C2×C8C23×D4312yes—
613C42—21no—
614C42—432no—
615C42—864no—
616C42—861no—
617C42C23×D4312yes—
618C23—22no—
619C23—431no—
620C23—432no—
621C23—431no—
622C23—432no—
623C23—864no—
624C23—868no—
625C23—862no—
626C23—1728no—
627C23#41×D4311yescharacteristic
628Q8—22no—
629Q8—434no—
630Q8—868no—
631Q8—862no—
632Q8C22×C4×D4314yes—
633D4—24no—
634D4—24no—
635D4—22no—
636D4—434no—
637D4—868no—
638D4—868no—
639D4—868no—
640D4—864no—
641D4—864no—
642D4—862no—
643D4C22×C4×D4314yes—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—42no—
649C2×C4—431no—
650C2×C4—431no—
651C2×C4—432no—
652C2×C4—432no—
653C2×C4—432no—
654C2×C4—432no—
655C2×C4—432no—
656C2×C4—432no—
657C2×C4—432no—
658C2×C4—432no—
659C2×C4—432no—
660C2×C4—432no—
661C2×C4—868no—
662C2×C4—868no—
663C2×C4—868no—
664C2×C4—862no—
665C2×C4—864no—
666C2×C4—864no—
667C2×C4—862no—
668C2×C4—1728no—
669C2×C4—1722no—
670C2×C4C22×C4×D4311yescharacteristic
671C2×C4C22×C4×D4311yescharacteristic
672C2×C4C2×D4×D4311yescharacteristic
673C2×C4C2×D4×D4311yescharacteristic
674C2×C4#41×D4311yescharacteristic
675C2×C4C24×D4311yescharacteristic
676C8—24no—
677C8—432no—
678C8—432no—
679C8—434no—
680C8—864no—
681C8C22×C4×D4312yes—
682C8C22×C4×D4312yes—
683C8C2×D4×D4314yes—
684C22—22no—
685C22—24no—
686C22—44no—
687C22—434no—
688C22—432no—
689C22—432no—
690C22—864no—
691C22—864no—
692C22—862no—
693C22—864no—
694C22—17216no—
695C22—1724no—
696C22C4×D4×D4311yescharacteristic
697C22C4×D4×D4311yescharacteristic
698C22C2×#41×D4311yescharacteristic
699C4—24no—
700C4—42no—
701C4—432no—
702C4—432no—
703C4—864no—
704C4—1722no—
705C4C4×D4×D4311yescharacteristic
706C4C4×D4×D4311yescharacteristic
707C4C23×C4×D4311yescharacteristic
708C4C22×D4×D4311yescharacteristic
709C2—21no—
710C2—21no—
711C2—44no—
712C2—434no—
713C2—862no—
714C2—1724no—
715C2#444×D4312yesdirect product factor
716C2C2×C4×D4×D4311yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC2×C43×#444C2
socleC22×C43C2×C4×D4
prime radicalC2×#135×D43C2
cosocleC2×C4×C43C25
hypercenterC2×#444D43
hypocenterC43C22×#444
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ C2×#444

Complements

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

NH ≅ G/Ntype
2. C2×#131×D43C2semidirect
3. C2×#14583022C2semidirect
4. C2×#14583021C2semidirect
5. C2×#14583020C2semidirect
6. C2×#14583019C2semidirect
7. C2×#14583018C2semidirect
8. #444×D43C2direct (N × H)
9. C2×#108×D43C2semidirect
10. C2×#104×D43C2semidirect
11. C2×#97×D43C2semidirect
12. C2×C43×#444C2semidirect
14. C2×#13063348C4semidirect
16. C2×#13063346C4semidirect
18. C2×#13063344C4semidirect
19. #135×D43C4semidirect
21. C2×Q16×D43C4semidirect
22. C2×SD16×D43C4semidirect
23. C2×D8×D43C4semidirect
25. C2×#13063333C22semidirect
26. C2×#13063332C22semidirect
28. C2×#13063331C22semidirect
30. #131×D43C22semidirect
37. #14583022C22semidirect
38. #14583021C22semidirect
39. #14583020C22semidirect
40. #14583019C22semidirect
41. #14583018C22semidirect
42. C2×#13063261C22semidirect
43. C2×#13063260C22semidirect
44. #108×D43C22semidirect
45. C2×#13063253C22semidirect
46. C2×#13063252C22semidirect
47. C2×#13063251C22semidirect
48. #104×D43C22semidirect
49. C2×#13063236C22semidirect
50. C2×#13063235C22semidirect
51. C2×#13063235C22semidirect
52. #97×D43C22semidirect
54. C2×#131×C43C22semidirect
55. C43×#444C22semidirect
56. C2×#108×C43C22semidirect
57. C2×#104×C43C22semidirect
58. C2×#97×C43C22semidirect
74. #13063348C2×C4semidirect
75. #13063347C2×C4semidirect
77. #13063346C2×C4semidirect
78. #13063345C2×C4semidirect
80. #13063344C2×C4semidirect
81. C2×Dic172C2×C4semidirect
82. C2×#10621885C2×C4semidirect
83. Q16×D43C2×C4semidirect
84. C2×#10621873C2×C4semidirect
85. C2×#10621883C2×C4semidirect
86. C2×#10621884C2×C4semidirect
87. SD16×D43C2×C4semidirect
88. C2×D344C2×C4semidirect
89. C2×#10621882C2×C4semidirect
90. D8×D43C2×C4semidirect
93. #13063333C23semidirect
95. #13063332C23semidirect
98. #13063331C23semidirect
128. #13063261C23semidirect
129. #13063260C23semidirect
130. #13063253C23semidirect
131. #13063252C23semidirect
132. #13063251C23semidirect
133. #13063236C23semidirect
134. #13063235C23semidirect
135. #13063235C23semidirect
137. #135×C43C2×C4semidirect
139. C2×Q16×C43C2×C4semidirect
140. C2×SD16×C43C2×C4semidirect
141. C2×D8×C43C2×C4semidirect
143. #131×C43C23semidirect
150. #108×C43C23semidirect
151. #104×C43C23semidirect
152. #97×C43C23semidirect
208. Q16×C43C22×C4semidirect
209. SD16×C43C22×C4semidirect
210. D8×C43C22×C4semidirect
225. #10621885C22×C4semidirect
226. #10621884C22×C4semidirect
227. #10621883C22×C4semidirect
228. #10621882C22×C4semidirect
244. Dic172C22×C4semidirect
245. D344C22×C4semidirect
246. #10621873C22×C4semidirect
338. C2×D43#444direct (N × H)
359. C2×#444D43direct (N × H)
366. C2×C43C2×#444semidirect
370. D43C2×#444direct (N × H)
390. C2×#131C2×D43semidirect
402. #444C2×D43direct (N × H)
406. C2×#108C2×D43semidirect
411. C2×#104C2×D43semidirect
416. C2×#97C2×D43semidirect
417. C43C22×#444semidirect
441. #135C4×D43semidirect
446. C2×Q16C4×D43semidirect
451. C2×SD16C4×D43semidirect
455. C2×D8C4×D43semidirect
465. #131C22×D43semidirect
503. #108C22×D43semidirect
507. #104C22×D43semidirect
511. #97C22×D43semidirect
569. Q16C2×C4×D43semidirect
573. SD16C2×C4×D43semidirect
576. D8C2×C4×D43semidirect
715. C2#444×D43direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#135×D432
C2×#131×D432
C2×#145830222
C2×#145830212
C2×#145830202
C2×#145830192
C2×#145830182
#444×D432
C2×#108×D432
C2×#104×D432
C2×#97×D432
C2×C43×#4442
C22×#44443