Finite Group Databasebeta

← #25098113

Subgroups — #25098113

Order 11008.

1778 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583697C211yesmaximal, characteristic
2C2×#14582916C211yesmaximal, characteristic, complemented
3#19143112C211yesmaximal, characteristic, complemented
4#19137188C211yesmaximal, characteristic, complemented
5#19134971C214yesmaximal, complemented
6#19134964C214yesmaximal, complemented
7C2×#14582668C211yesmaximal, characteristic, complemented
8#19134304C211yesmaximal, characteristic, complemented
9C2×C43×#520C211yesmaximal, characteristic, complemented
10C22×#10621898C2211yescharacteristic
11#14583697—24no—
12#14583697C418yescomplemented
13C2×#13063356—21no—
14C2×#13063355C2212yes—
15C2×#13063351—21no—
16C2×#13063350C2212yes—
17C2×#13063345—22no—
18C22×#10621877C2211yescharacteristic
19C22×#10621877C2211yescharacteristic
20C2×#13063284C2211yescharacteristic
21#14582916—24no—
22C2×#13063252C2214yes—
23#14582907C2212yescomplemented
24#14582903C2212yescomplemented
25#14582898—21no—
26#14582898—21no—
27#14582893—22no—
28#14582804C2212yescomplemented
29#14582800C2212yescomplemented
30#14582778—22no—
31#14582756—22no—
32#14582668C2214yescomplemented
33#14582658C2214yescomplemented
34C22×#41×C43C2211yescharacteristic
35C43×#520—22no—
36C43×#520—22no—
37C43×#520—22no—
38C43×#520C2214yes—
39C2×C4×Q8×C43—21no—
40C2×C4×D4×C43—21no—
41C2×C4×D4×C43—22no—
42C2×#117×C43—21no—
43C2×#117×C43C2211yescharacteristic
44C22×C4⋊C4×C43—21no—
45C22×C4⋊C4×C43C2211yescharacteristic
46C2×#10621898—22no—
47C2×#10621898—21no—
48C2×#10621898—21no—
49C2×#10621898—21no—
50C2×#10621898—21no—
51C2×#10621898—22no—
52C2×#10621898—22no—
53C2×#10621898C2×C414yescomplemented
54C22×Dic86C2311yescharacteristic
55C22×D172C2311yescharacteristic
56C22×C22⋊D43—21no—
57C22×C4×D43—21no—
58#13063356—28no—
59#13063355—24no—
60#13063355C2×C418yescomplemented
61#13063351—28no—
62#13063350—24no—
63#13063350C2×C418yescomplemented
64#13063345—216no—
65C2×#10621885—22no—
66C2×#10621883—22no—
67C2×#10621884—22no—
68C2×#10621882—22no—
69C2×#10621877—21no—
70C2×#10621877—22no—
71C2×#10621877—21no—
72C2×#10621877—22no—
73C2×#10621877—22no—
74C2×#10621877C2×C414yescomplemented
75C2×#10621877C2312yes—
76C2×#10621877C2312yes—
77C22×C43⋊C8—21no—
78C22×C43⋊C8—21no—
79#13063284—22no—
80#13063284—22no—
81C2×C4⋊Dic43—21no—
82C2×C22⋊Dic43—21no—
83C2×(C2×D43)⋊C4—24no—
84C2×C4×Dic43C2312yes—
85#13063252—28no—
86#13063248—22no—
87#13063248—22no—
88#13063245—22no—
89#13063245—22no—
90C43⋊#95—24no—
91C2×#41×C43—21no—
92C2×#41×C43—21no—
93C2×#41×C43—22no—
94C2×#41×C43—22no—
95C2×#41×C43C2×C414yes—
96C2×#41×C43D414yes—
97C2×#41×C43D412yes—
98C2×#41×C43C2312yes—
99C22×Q8×C43D411yescharacteristic
100C22×D4×C43—21no—
101C22×D4×C43D411yescharacteristic
102C23×C4×C43—21no—
103C23×C4×C43—22no—
104C23×C4×C43D412yes—
105C23×C4×C43C2311yescharacteristic
106C4×Q8×C43—24no—
107C4×Q8×C43—24no—
108C4×D4×C43—28no—
109C4×D4×C43—24no—
110C4×D4×C43—24no—
111C4×D4×C43—28no—
112#117×C43—24no—
113#117×C43—21no—
114#117×C43—21no—
115#117×C43—24no—
116#117×C43D412yes—
117#117×C43C2312yes—
118C2×C4⋊C4×C43—22no—
119C2×C4⋊C4×C43—24no—
120C2×C4⋊C4×C43—21no—
121C2×C4⋊C4×C43—21no—
122C2×C4⋊C4×C43—21no—
123C2×C4⋊C4×C43—21no—
124C2×C4⋊C4×C43—24no—
125C2×C4⋊C4×C43D412yes—
126C2×C4⋊C4×C43D411yescharacteristic
127C2×C4⋊C4×C43D411yescharacteristic
128C2×C4⋊C4×C43C2312yes—
129C2×C22⋊C4×C43—22no—
130C2×C22⋊C4×C43—21no—
131C2×C42×C43—22no—
132C2×C42×C43—21no—
133C24×C43—21no—
134C24×C43C2×D411yescharacteristic
135C23×D43—21no—
136#41×C43—24no—
137#41×C43—24no—
138#41×C43—24no—
139#41×C43—24no—
140#41×C43—24no—
141#41×C43—22no—
142#41×C43—22no—
143#41×C43C22⋊C418yescomplemented
144#41×C43C22×C414yes—
145#41×C43C2×D414yes—
146C2×Q8×C43—21no—
147C2×Q8×C43—22no—
148C2×Q8×C43C22⋊C414yescomplemented
149C2×Q8×C43C2×D412yes—
150C2×D4×C43—21no—
151C2×D4×C43—22no—
152C2×D4×C43—24no—
153C2×D4×C43—22no—
154C2×D4×C43—24no—
155C2×D4×C43—22no—
156C2×D4×C43C22⋊C414yescomplemented
157C2×D4×C43C2×D412yes—
158C22×C4×C43—24no—
159C22×C4×C43—22no—
160C22×C4×C43—24no—
161C22×C4×C43—22no—
162C22×C4×C43—28no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—22no—
166C22×C4×C43—21no—
167C22×C4×C43—22no—
168C22×C4×C43—82no—
169C22×C4×C43—84no—
170C22×C4×C43C22×C412yes—
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2×D411yescharacteristic
173C22×C4×C43C2×D411yescharacteristic
174C22×C4×C43C2×D411yescharacteristic
175C22×C4×C43C2×D412yes—
176C22×C4×C43C2×D414yes—
177C22×C4×C43C2×D411yescharacteristic
178C22×C4×C43#4112yes—
179C22×C4×C43#4112yes—
180C22×C4×C43C2411yescharacteristic
181C2×C22⋊D43—24no—
182C2×C22⋊D43—41no—
183C2×C22⋊D43—41no—
184C2×C22⋊D43—42no—
185C22×Dic43—21no—
186C22×Dic43—22no—
187#10621898—24no—
188#10621898—24no—
189#10621898—24no—
190#10621898—24no—
191#10621898—42no—
192#10621898—42no—
193#10621898—42no—
194#10621898—42no—
195C2×D172—21no—
196C2×D172—21no—
197C2×D172—21no—
198C2×D172—21no—
199C2×D172—21no—
200C2×D172C22×C412yescomplemented
201C2×C4×D43—24no—
202C2×C4×D43—41no—
203C2×C4×D43—41no—
204C2×C4×D43—42no—
205C2×Dic86—21no—
206C2×Dic86—21no—
207C2×Dic86—21no—
208C2×Dic86—21no—
209C2×Dic86—21no—
210C2×Dic86C22×C412yescomplemented
211C4⋊C4×C43—28no—
212C4⋊C4×C43—22no—
213C4⋊C4×C43—21no—
214C4⋊C4×C43—22no—
215C4⋊C4×C43—21no—
216C4⋊C4×C43—22no—
217C4⋊C4×C43—22no—
218C4⋊C4×C43C2×D412yes—
219C4⋊C4×C43C2×D412yes—
220C22⋊C4×C43—28no—
221C22⋊C4×C43—22no—
222C22⋊C4×C43—22no—
223C42×C43—28no—
224C42×C43—22no—
225C42×C43—22no—
226C22⋊Dic43—42no—
227#10621885—28no—
228#10621884—28no—
229#10621883—28no—
230#10621882—28no—
231(C2×D43)⋊C4—84no—
232C4⋊Dic43—42no—
233C4×Dic43—22no—
234C4×Dic43—22no—
235#10621877—24no—
236#10621877—22no—
237#10621877—22no—
238#10621877—22no—
239#10621877—42no—
240#10621877C22×C414yescomplemented
241C2×C43⋊C8—24no—
242C2×C43⋊C8—22no—
243C2×C43⋊C8—22no—
244C2×C43⋊C8—42no—
245C23×C43—22no—
246C23×C43—24no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—42no—
250C23×C43—42no—
251C23×C43C4×D412yes—
252C23×C43#12011yescharacteristic
253C23×C43#12011yescharacteristic
254C23×C43#12112yes—
255C23×C43C22×D411yescharacteristic
256C22×D43—22no—
257C22×D43—42no—
258C22×D43—42no—
259C22×D43—41no—
260C22×D43—41no—
261Q8×C43—22no—
262Q8×C43—24no—
263Q8×C43C2×C22⋊C414yes—
264D4×C43—24no—
265D4×C43—24no—
266D4×C43—28no—
267D4×C43—22no—
268D4×C43—24no—
269D4×C43C2×C22⋊C414yes—
270C2×C4×C43—22no—
271C2×C4×C43—24no—
272C2×C4×C43—24no—
273C2×C4×C43—24no—
274C2×C4×C43—28no—
275C2×C4×C43—22no—
276C2×C4×C43—24no—
277C2×C4×C43—22no—
278C2×C4×C43—42no—
279C2×C4×C43—44no—
280C2×C4×C43—42no—
281C2×C4×C43—44no—
282C2×C4×C43—82no—
283C2×C4×C43—88no—
284C2×C4×C43C2×C22⋊C412yes—
285C2×C4×C43C2×C22⋊C412yes—
286C2×C4×C43C4×D412yes—
287C2×C4×C43C4×D412yes—
288C2×C4×C43C4×D412yes—
289C2×C4×C43#12011yescharacteristic
290C2×C4×C43#12011yescharacteristic
291C2×C4×C43#12112yes—
292C2×C4×C43#12112yes—
293C2×C4×C43#12112yes—
294C2×C4×C43#12312yes—
295C2×C4×C43#12312yes—
296C2×C4×C43C23×C411yescharacteristic
297C2×C4×C43C22×D411yescharacteristic
298C2×C4×C43C22×D411yescharacteristic
299C2×C4×C43C22×D411yescharacteristic
300C2×C4×C43C2×#4111yescharacteristic
301C2×C4×C43C2×#4111yescharacteristic
302C22⋊D43—44no—
303C22⋊D43—44no—
304C2×Dic43—22no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C2×Dic43—42no—
308C2×Dic43—42no—
309C2×Dic43—42no—
310D172—22no—
311D172—22no—
312D172—41no—
313D172—41no—
314C4×D43—44no—
315C4×D43—44no—
316Dic86—22no—
317Dic86—22no—
318Dic86—41no—
319Dic86—41no—
320C43⋊C8—24no—
321C43⋊C8—42no—
322#20943—431nomaximal, Sylow
323C22×C43—21no—
324C22×C43—21no—
325C22×C43—21no—
326C22×C43—21no—
327C22×C43—21no—
328C22×C43—21no—
329C22×C43—24no—
330C22×C43—42no—
331C22×C43—42no—
332C22×C43—48no—
333C22×C43—42no—
334C22×C43—42no—
335C22×C43#38612yes—
336C22×C43#38612yes—
337C22×C43C2×C4×D411yescharacteristic
338C22×C43C2×#12011yescharacteristic
339C22×C43C2×#12111yescharacteristic
340C2×D43—44no—
341C2×D43—42no—
342C2×D43—82no—
343C2×D43—81no—
344C2×D43—81no—
345C4×C43—24no—
346C4×C43—44no—
347C4×C43—42no—
348C4×C43—42no—
349C4×C43#38612yes—
350C4×C43#38612yes—
351C4×C43C22×C22⋊C411yescharacteristic
352C4×C43C2×C4×D411yescharacteristic
353C4×C43C2×#12111yescharacteristic
354C4×C43C2×#12311yescharacteristic
355Dic43—42no—
356Dic43—82no—
357C2×#575—431no—
358C2×#520D4311yescharacteristic, complemented
359C2×#421—431no—
360#2896—431no—
361#2311—431no—
362#1883—434no—
363#1882—434no—
364C2×#343—431no—
365#1733—431no—
366C2×C43—21no—
367C2×C43—21no—
368C2×C43—22no—
369C2×C43—22no—
370C2×C43—44no—
371C2×C43C2×#38611yescharacteristic
372C2×C43#301911yescharacteristic
373C2×C43#302011yescharacteristic
374D43—82no—
375C22×#41—431no—
376C22×#41C2×D4311yescharacteristic
377#575—438no—
378#575—864no—
379C2×#137—432no—
380C2×#137—861no—
381C2×AGL(1,ℤ/8)—432no—
382C2×AGL(1,ℤ/8)—861no—
383C2×#135—862no—
384C22×M16—431no—
385C22×M16—431no—
386#520—22no—
387#520—22no—
388#520—22no—
389#520C2×D4314yes—
390C2×C4×Q8—21no—
391C2×C4×D4—21no—
392C2×C4×D4—22no—
393C2×#117—21no—
394C2×#117—431no—
395C2×#117C2×D4311yescharacteristic
396C22×C4⋊C4—21no—
397C22×C4⋊C4C2×D4311yescharacteristic
398#421—864no—
399C2×#104—434no—
400#419—432no—
401#418—432no—
402#417—861no—
403#417—861no—
404#416—862no—
405#391—432no—
406#390—432no—
407#386—862no—
408#380—862no—
409#343—434no—
410#339—434no—
411C43#2094311yescharacteristic, complemented, Sylow
412C2×#41—22no—
413C2×#41—22no—
414C2×#41—21no—
415C2×#41—21no—
416C2×#41—434no—
417C2×#41—862no—
418C2×#41—862no—
419C2×#41—862no—
420C2×#41—861no—
421C2×#41—861no—
422C2×#41—861no—
423C2×#41—861no—
424C2×#41C4×D4314yes—
425C2×#41D17214yes—
426C2×#41C22⋊D4312yes—
427C2×#41C22×D4312yes—
428C22×Q8—431no—
429C22×Q8C22⋊D4311yescharacteristic
430C22×D4—21no—
431C22×D4—431no—
432C22×D4—861no—
433C22×D4C22⋊D4311yescharacteristic
434C23×C4—21no—
435C23×C4—22no—
436C23×C4—861no—
437C23×C4C22⋊D4312yes—
438C23×C4C22×D4311yescharacteristic
439#137—438no—
440#137—864no—
441#137—868no—
442AGL(1,ℤ/8)—438no—
443AGL(1,ℤ/8)—864no—
444AGL(1,ℤ/8)—868no—
445#135—8616no—
446C2×Q16—862no—
447C2×SD16—862no—
448C2×SD16—862no—
449C2×D8—862no—
450C2×M16—434no—
451C2×M16—432no—
452C2×M16—432no—
453C2×M16—862no—
454C2×M16—861no—
455C2×M16—861no—
456C2×M16—862no—
457C2×M16—862no—
458C22×C8—861no—
459C22×C8—861no—
460C4×Q8—24no—
461C4×Q8—24no—
462C4×D4—28no—
463C4×D4—24no—
464C4×D4—24no—
465C4×D4—28no—
466#117—24no—
467#117—21no—
468#117—21no—
469#117—24no—
470#117—862no—
471#117—862no—
472#117C22⋊D4312yes—
473#117C22×D4312yes—
474C2×C4⋊C4—22no—
475C2×C4⋊C4—24no—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—24no—
481C2×C4⋊C4—861no—
482C2×C4⋊C4C22⋊D4312yes—
483C2×C4⋊C4C22⋊D4311yescharacteristic
484C2×C4⋊C4C22⋊D4311yescharacteristic
485C2×C4⋊C4C22×D4312yes—
486C2×C22⋊C4—22no—
487C2×C22⋊C4—21no—
488C2×C22⋊C4—864no—
489C2×C22⋊C4—861no—
490C2×C42—22no—
491C2×C42—21no—
492C2×C42—432no—
493#104—868no—
494#103—862no—
495#103—862no—
496#102—862no—
497#102—862no—
498#95—864no—
499C24—21no—
500C24—861no—
501C24C2×C22⋊D4311yescharacteristic
502#41—24no—
503#41—24no—
504#41—24no—
505#41—24no—
506#41—24no—
507#41—22no—
508#41—22no—
509#41—864no—
510#41—864no—
511#41—864no—
512#41—864no—
513#41—1722no—
514#41—1722no—
515#41—1722no—
516#41—1722no—
517#41(C2×D43)⋊C418yescomplemented
518#41C2×C4×D4314yes—
519#41C2×D17214yes—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—432no—
523C2×Q8—861no—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8—861no—
528C2×Q8(C2×D43)⋊C414yescomplemented
529C2×Q8C2×C22⋊D4312yes—
530C2×D4—24no—
531C2×D4—22no—
532C2×D4—24no—
533C2×D4—22no—
534C2×D4—21no—
535C2×D4—22no—
536C2×D4—432no—
537C2×D4—864no—
538C2×D4—861no—
539C2×D4—861no—
540C2×D4—861no—
541C2×D4—861no—
542C2×D4—861no—
543C2×D4—1721no—
544C2×D4—1721no—
545C2×D4—1722no—
546C2×D4(C2×D43)⋊C414yescomplemented
547C2×D4C2×C22⋊D4312yes—
548C22×C4—21no—
549C22×C4—24no—
550C22×C4—22no—
551C22×C4—24no—
552C22×C4—22no—
553C22×C4—21no—
554C22×C4—22no—
555C22×C4—21no—
556C22×C4—28no—
557C22×C4—22no—
558C22×C4—82no—
559C22×C4—84no—
560C22×C4—861no—
561C22×C4—864no—
562C22×C4—862no—
563C22×C4—1721no—
564C22×C4—1721no—
565C22×C4—1722no—
566C22×C4C2×C4×D4312yes—
567C22×C4C2×D17212yes—
568C22×C4#1062189812yes—
569C22×C4#1062189812yes—
570C22×C4C2×C22⋊D4314yes—
571C22×C4C2×C22⋊D4311yescharacteristic
572C22×C4C2×C22⋊D4311yescharacteristic
573C22×C4C2×C22⋊D4311yescharacteristic
574C22×C4C2×C22⋊D4311yescharacteristic
575C22×C4C2×C22⋊D4311yescharacteristic
576C22×C4C23×D4311yescharacteristic
577Q16—868no—
578SD16—868no—
579SD16—868no—
580D8—868no—
581M16—434no—
582M16—864no—
583M16—862no—
584M16—862no—
585M16—862no—
586M16—1722no—
587C2×C8—864no—
588C2×C8—862no—
589C2×C8—862no—
590C2×C8—1722no—
591C4⋊C4—28no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—22no—
595C4⋊C4—21no—
596C4⋊C4—22no—
597C4⋊C4—22no—
598C4⋊C4—1722no—
599C4⋊C4C2×C22⋊D4312yes—
600C4⋊C4C2×C22⋊D4312yes—
601C22⋊C4—28no—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—3444no—
605C22⋊C4—1722no—
606C42—28no—
607C42—22no—
608C42—22no—
609C42—862no—
610C42—862no—
611C23—22no—
612C23—24no—
613C23—41no—
614C23—41no—
615C23—42no—
616C23—42no—
617C23—862no—
618C23—1722no—
619C23—1722no—
620C23—1721no—
621C23—1721no—
622C23C4×C22⋊D4312yes—
623C23#1306329411yescharacteristic
624C23#1306329411yescharacteristic
625C23#1306329912yes—
626C23C22×C22⋊D4311yescharacteristic
627Q8—22no—
628Q8—24no—
629Q8—862no—
630Q8—862no—
631Q8—1721no—
632Q8—1721no—
633Q8C2×(C2×D43)⋊C414yes—
634D4—24no—
635D4—24no—
636D4—28no—
637D4—22no—
638D4—24no—
639D4—862no—
640D4—862no—
641D4—1724no—
642D4—1724no—
643D4—1721no—
644D4—1721no—
645D4C2×(C2×D43)⋊C414yes—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—28no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—44no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—44no—
658C2×C4—82no—
659C2×C4—88no—
660C2×C4—862no—
661C2×C4—1722no—
662C2×C4—1722no—
663C2×C4—1722no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1724no—
667C2×C4—1724no—
668C2×C4C2×(C2×D43)⋊C412yes—
669C2×C4C2×(C2×D43)⋊C412yes—
670C2×C4C4×C22⋊D4312yes—
671C2×C4C4×C22⋊D4312yes—
672C2×C4C4×C22⋊D4312yes—
673C2×C4#1306329411yescharacteristic
674C2×C4#1306329411yescharacteristic
675C2×C4#1306329912yes—
676C2×C4#1306329912yes—
677C2×C4#1306329912yes—
678C2×C4#1306330812yes—
679C2×C4#1306330812yes—
680C2×C4C22×C4×D4311yescharacteristic
681C2×C4C22×C22⋊D4311yescharacteristic
682C2×C4C22×C22⋊D4311yescharacteristic
683C2×C4C22×D17211yescharacteristic
684C2×C4C2×#1062189811yescharacteristic
685C2×C4C2×#1062189811yescharacteristic
686C8—864no—
687C8—1722no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—24no—
695C22—42no—
696C22—42no—
697C22—48no—
698C22—42no—
699C22—42no—
700C22—3442no—
701C22—3441no—
702C22—3441no—
703C22—1724no—
704C22—1722no—
705C22#1458277812yes—
706C22#1458277812yes—
707C22C2×C4×C22⋊D4311yescharacteristic
708C22C2×#1306329411yescharacteristic
709C22C2×#1306329911yescharacteristic
710C4—24no—
711C4—44no—
712C4—42no—
713C4—42no—
714C4—3442no—
715C4—1722no—
716C4#1458277812yes—
717C4#1458277812yes—
718C4C22×(C2×D43)⋊C411yescharacteristic
719C4C2×C4×C22⋊D4311yescharacteristic
720C4C2×#1306329911yescharacteristic
721C4C2×#1306330811yescharacteristic
722C2—21no—
723C2—22no—
724C2—21no—
725C2—22no—
726C2—44no—
727C2—3442no—
728C2C2×#1458277811yescharacteristic
729C2#1914395211yescharacteristic
730C2#1914395911yescharacteristic
subgroupG/H
centerC22C2×#13063294
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#520C2
socleC22×C43C2×#120
prime radicalC2×#14583697C2
cosocleC22×C4×C43C24
hypercenterC2×#520D43
hypocenterC43#20943
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#520

Complements

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

NH ≅ G/Ntype
2. C2×#14582916C2semidirect
3. #19143112C2semidirect
4. #19137188C2semidirect
5. #19134971C2semidirect
6. #19134964C2semidirect
7. C2×#14582668C2semidirect
8. #19134304C2semidirect
9. C2×C43×#520C2semidirect
12. #14583697C4semidirect
23. #14582907C22semidirect
24. #14582903C22semidirect
28. #14582804C22semidirect
29. #14582800C22semidirect
32. #14582668C22semidirect
33. #14582658C22semidirect
53. C2×#10621898C2×C4semidirect
60. #13063355C2×C4semidirect
63. #13063350C2×C4semidirect
74. C2×#10621877C2×C4semidirect
143. #41×C43C22⋊C4semidirect
148. C2×Q8×C43C22⋊C4semidirect
156. C2×D4×C43C22⋊C4semidirect
200. C2×D172C22×C4semidirect
210. C2×Dic86C22×C4semidirect
240. #10621877C22×C4semidirect
358. C2×#520D43semidirect
411. C43#20943semidirect
517. #41(C2×D43)⋊C4semidirect
528. C2×Q8(C2×D43)⋊C4semidirect
546. C2×D4(C2×D43)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#145836972
C2×#145829162
#191431122
#191371882
#191349712
#191349642
C2×#145826682
#191343042
C2×C43×#5202
#2094343