Finite Group Databasebeta

← C2×#19136239 #25249322

Subgroups — C2×#19136239 #25249322

Order 11008.

1494 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583458C211yesmaximal, characteristic
2C22×#13063242C211yesmaximal, characteristic, complemented
3#19136239C218yesmaximal, direct product factor
4C2×#14582688C212yesmaximal, complemented
5C2×#14582685C212yesmaximal, complemented
6C22×#99×C43C211yesmaximal, characteristic, complemented
7C23×C22⋊D43C411yescharacteristic, complemented
8C22×#10621877—21no—
9#14583458—22no—
10#14583458—22no—
11#14583458C414yescomplemented
12#14583458C2214yes—
13C2×#13063308—21no—
14C2×#13063306C411yescharacteristic, complemented
15C2×#13063306C2211yescharacteristic
16C2×#13063297—21no—
17C2×#13063297—21no—
18C2×#13063294—21no—
19C2×#13063293C411yescharacteristic, complemented
20C2×#13063293C2211yescharacteristic
21C22×C22⋊Dic43C411yescharacteristic, complemented
22C2×#13063242—21no—
23C2×#13063242—22no—
24C2×#13063242C2212yes—
25C2×#13063242C2214yescomplemented
26#14582688C2218yescomplemented
27#14582685C2218yescomplemented
28C23×D4×C43C2211yescharacteristic
29C22×C22⋊C4×C43—21no—
30C2×#99×C43—22no—
31C2×#99×C43—21no—
32C2×#99×C43C2212yes—
33C2×#99×C43C2214yescomplemented
34C24×D43C2×C411yescharacteristic, complemented
35C22×C22⋊D43—21no—
36C22×C22⋊D43—21no—
37C22×C22⋊D43—22no—
38C22×C22⋊D43—21no—
39C22×C22⋊D43—21no—
40C22×C22⋊D43—41no—
41C22×C22⋊D43—41no—
42C22×C22⋊D43—42no—
43C22×C22⋊D43C2×C414yescomplemented
44C23×Dic43—21no—
45C23×Dic43C2×C411yescharacteristic, complemented
46C2×#10621877—22no—
47C2×#10621877—24no—
48C2×#10621877—41no—
49C2×#10621877—42no—
50C22×C43⋊C8—41no—
51#13063308—24no—
52#13063308—24no—
53#13063306—22no—
54#13063306—21no—
55#13063306—21no—
56#13063306C2×C414yescomplemented
57#13063306C2×C412yescomplemented
58#13063306C2312yes—
59#13063297—24no—
60#13063297—24no—
61#13063297—24no—
62#13063297—24no—
63#13063294—24no—
64#13063294—24no—
65#13063293—22no—
66#13063293—21no—
67#13063293—21no—
68#13063293C2×C414yescomplemented
69#13063293C2×C412yescomplemented
70#13063293C2312yes—
71C2×Dic43⋊C4—21no—
72C2×Dic43⋊C4—21no—
73C2×C22⋊Dic43—21no—
74C2×C22⋊Dic43—22no—
75C2×C22⋊Dic43—21no—
76C2×C22⋊Dic43—21no—
77C2×C22⋊Dic43C2×C411yescharacteristic, complemented
78C2×C22⋊Dic43C2×C411yescharacteristic, complemented
79C2×C22⋊Dic43C2×C414yescomplemented
80C2×(C2×D43)⋊C4—21no—
81C2×(C2×D43)⋊C4—21no—
82#13063242—22no—
83#13063242—24no—
84#13063242C2314yes—
85C25×C43C2×C411yescharacteristic
86C25×C43D411yescharacteristic
87C22×D4×C43—41no—
88C22×D4×C43—41no—
89C22×D4×C43—42no—
90C22×D4×C43C2×C411yescharacteristic
91C22×D4×C43C2×C412yes—
92C22×D4×C43D411yescharacteristic
93C22×D4×C43D412yes—
94C22×D4×C43D411yescharacteristic
95C22×D4×C43D412yes—
96C22×D4×C43C2311yescharacteristic
97C22×D4×C43C2312yes—
98C23×C4×C43—41no—
99C23×C4×C43D411yescharacteristic
100C2×C22⋊C4×C43—22no—
101C2×C22⋊C4×C43—24no—
102C2×C22⋊C4×C43—42no—
103C2×C22⋊C4×C43—41no—
104#99×C43—22no—
105#99×C43—24no—
106#99×C43C2314yes—
107C24×C43—21no—
108C24×C43—21no—
109C24×C43—22no—
110C24×C43—21no—
111C24×C43—21no—
112C24×C43—22no—
113C24×C43—82no—
114C24×C43—82no—
115C24×C43C22⋊C411yescharacteristic
116C24×C43C22⋊C411yescharacteristic
117C24×C43C22⋊C412yes—
118C24×C43C22⋊C412yes—
119C24×C43C22⋊C411yescharacteristic
120C24×C43C22×C411yescharacteristic
121C24×C43C22×C412yes—
122C24×C43C2×D411yescharacteristic
123C24×C43C2×D412yes—
124C23×D43—21no—
125C23×D43—21no—
126C23×D43—41no—
127C23×D43—41no—
128C23×D43—82no—
129C23×D43C22×C412yescomplemented
130C2×D4×C43—41no—
131C2×D4×C43—41no—
132C2×D4×C43—42no—
133C2×D4×C43—42no—
134C2×D4×C43—41no—
135C2×D4×C43—41no—
136C2×D4×C43—41no—
137C2×D4×C43—41no—
138C2×D4×C43—42no—
139C2×D4×C43—42no—
140C2×D4×C43—42no—
141C2×D4×C43—42no—
142C2×D4×C43—41no—
143C2×D4×C43—41no—
144C2×D4×C43—42no—
145C2×D4×C43—42no—
146C2×D4×C43C22⋊C412yes—
147C2×D4×C43C22⋊C412yes—
148C2×D4×C43C22⋊C412yes—
149C2×D4×C43C22×C412yes—
150C2×D4×C43C22×C411yescharacteristic
151C2×D4×C43C2×D411yescharacteristic
152C2×D4×C43C2×D412yes—
153C2×D4×C43C2×D411yescharacteristic
154C2×D4×C43C2×D412yes—
155C2×D4×C43C2411yescharacteristic
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—22no—
159C22×C4×C43—42no—
160C22×C4×C43—44no—
161C22×C4×C43—84no—
162C22×C4×C43C22⋊C411yescharacteristic
163C22×C4×C43C22⋊C412yes—
164C22×C4×C43C2×D411yescharacteristic
165C22×C4×C43C2×D412yes—
166C2×C22⋊D43—24no—
167C2×C22⋊D43—24no—
168C2×C22⋊D43—24no—
169C2×C22⋊D43—22no—
170C2×C22⋊D43—22no—
171C2×C22⋊D43—44no—
172C2×C22⋊D43—44no—
173C2×C22⋊D43—44no—
174C2×C22⋊D43—44no—
175C2×C22⋊D43—42no—
176C2×C22⋊D43—42no—
177C2×C22⋊D43—41no—
178C2×C22⋊D43—41no—
179C2×C22⋊D43—42no—
180C2×C22⋊D43—82no—
181C2×C22⋊D43—82no—
182C22×Dic43—21no—
183C22×Dic43—21no—
184C22×Dic43—21no—
185C22×Dic43—21no—
186C22×Dic43—24no—
187C22×Dic43—41no—
188C22×Dic43—41no—
189C22×Dic43—82no—
190C22×Dic43C22×C412yescomplemented
191C22⋊C4×C43—24no—
192C22⋊C4×C43—42no—
193C22⋊C4×C43—44no—
194C22⋊Dic43—21no—
195C22⋊Dic43—21no—
196C22⋊Dic43—24no—
197C22⋊Dic43—24no—
198C22⋊Dic43—22no—
199C22⋊Dic43—22no—
200C22⋊Dic43C22×C412yescomplemented
201C22⋊Dic43C22×C412yescomplemented
202(C2×D43)⋊C4—24no—
203(C2×D43)⋊C4—22no—
204(C2×D43)⋊C4—22no—
205Dic43⋊C4—24no—
206Dic43⋊C4—22no—
207Dic43⋊C4—22no—
208#10621877—24no—
209#10621877—42no—
210#10621877—44no—
211C2×C43⋊C8—42no—
212C2×C43⋊C8—44no—
213C23×C43—21no—
214C23×C43—21no—
215C23×C43—21no—
216C23×C43—21no—
217C23×C43—22no—
218C23×C43—21no—
219C23×C43—22no—
220C23×C43—21no—
221C23×C43—21no—
222C23×C43—22no—
223C23×C43—22no—
224C23×C43—22no—
225C23×C43—22no—
226C23×C43—22no—
227C23×C43—21no—
228C23×C43—22no—
229C23×C43—42no—
230C23×C43—42no—
231C23×C43—42no—
232C23×C43—44no—
233C23×C43—42no—
234C23×C43—42no—
235C23×C43—82no—
236C23×C43—82no—
237C23×C43—82no—
238C23×C43—82no—
239C23×C43—82no—
240C23×C43—82no—
241C23×C43—82no—
242C23×C43—84no—
243C23×C43—84no—
244C23×C43#9911yescharacteristic
245C23×C43#9911yescharacteristic
246C23×C43#9912yes—
247C23×C43C2×C22⋊C411yescharacteristic
248C23×C43C2×C22⋊C411yescharacteristic
249C23×C43C2×C22⋊C412yes—
250C23×C43C2×C22⋊C411yescharacteristic
251C23×C43C2×C22⋊C412yes—
252C23×C43C2×C22⋊C412yes—
253C23×C43C23×C411yescharacteristic
254C23×C43C22×D411yescharacteristic
255C22×D43—22no—
256C22×D43—42no—
257C22×D43—42no—
258C22×D43—42no—
259C22×D43—41no—
260C22×D43—41no—
261C22×D43—42no—
262C22×D43—82no—
263C22×D43—82no—
264C22×D43—84no—
265C22×D43—84no—
266D4×C43—42no—
267D4×C43—42no—
268D4×C43—42no—
269D4×C43—42no—
270D4×C43—41no—
271D4×C43—41no—
272D4×C43—42no—
273D4×C43—41no—
274D4×C43—42no—
275D4×C43—41no—
276C2×C4×C43—22no—
277C2×C4×C43—21no—
278C2×C4×C43—21no—
279C2×C4×C43—22no—
280C2×C4×C43—21no—
281C2×C4×C43—22no—
282C2×C4×C43—22no—
283C2×C4×C43—21no—
284C2×C4×C43—44no—
285C2×C4×C43—88no—
286C2×C4×C43—84no—
287C2×C4×C43C2×C22⋊C412yes—
288C2×C4×C43C2×C22⋊C411yescharacteristic
289C2×C4×C43C22×D411yescharacteristic
290C22⋊D43—48no—
291C22⋊D43—44no—
292C22⋊D43—44no—
293C22⋊D43—84no—
294C22⋊D43—82no—
295C22⋊D43—82no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—22no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—42no—
305C2×Dic43—84no—
306C43⋊C8—44no—
307C2×#2121—431nomaximal, Sylow
308C22×C43—22no—
309C22×C43—22no—
310C22×C43—22no—
311C22×C43—21no—
312C22×C43—21no—
313C22×C43—22no—
314C22×C43—22no—
315C22×C43—21no—
316C22×C43—21no—
317C22×C43—42no—
318C22×C43—42no—
319C22×C43—41no—
320C22×C43—41no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—41no—
324C22×C43—41no—
325C22×C43—42no—
326C22×C43—42no—
327C22×C43—44no—
328C22×C43—44no—
329C22×C43—42no—
330C22×C43—42no—
331C22×C43—42no—
332C22×C43—42no—
333C22×C43—81no—
334C22×C43—81no—
335C22×C43—82no—
336C22×C43—82no—
337C22×C43—82no—
338C22×C43—82no—
339C22×C43—82no—
340C22×C43—82no—
341C22×C43C2×#9911yescharacteristic
342C22×C43C2×#9912yes—
343C22×C43C2×#9912yes—
344C22×C43C2×#9911yescharacteristic
345C22×C43C22×C22⋊C411yescharacteristic
346C2×D43—42no—
347C2×D43—42no—
348C2×D43—42no—
349C2×D43—82no—
350C2×D43—84no—
351C2×D43—82no—
352C2×D43—84no—
353C4×C43—21no—
354C4×C43—22no—
355C4×C43—21no—
356C4×C43—84no—
357Dic43—42no—
358Dic43—42no—
359Dic43—42no—
360C2×#534—431no—
361C22×#100—431no—
362C22×#99D4311yescharacteristic, complemented
363#2121—438no—
364C2×#352—432no—
365C2×AΣL(1,𝔽16)—432no—
366C2×C43—21no—
367C2×C43—21no—
368C2×C43—22no—
369C2×C43—22no—
370C2×C43—41no—
371C2×C43—41no—
372C2×C43—41no—
373C2×C43—41no—
374C2×C43—42no—
375C2×C43—42no—
376C2×C43#212112yescomplemented
377C2×C43C22×#9911yescharacteristic
378D43—82no—
379C23×D4—431no—
380C23×D4C2×D4311yescharacteristic
381C22×M16—861no—
382#534—434no—
383#534—434no—
384#534—862no—
385#534—862no—
386C2×#123—431no—
387C2×#123—431no—
388C2×#123—861no—
389C2×#121—861no—
390C2×#121—861no—
391C2×#120—431no—
392C2×#120—431no—
393C2×#120—861no—
394C22×C22⋊C4—21no—
395C22×C22⋊C4—431no—
396C2×#100—432no—
397C2×#100—434no—
398C2×#100—861no—
399C2×#100—862no—
400C2×#99—22no—
401C2×#99—21no—
402C2×#99C2×D4312yes—
403C2×#99C2×D4314yescomplemented
404#352—438no—
405AΣL(1,𝔽16)—438no—
406C43C2×#212111yescharacteristic, complemented, Sylow
407C25—431no—
408C25C4×D4311yescharacteristic
409C25C22⋊D4311yescharacteristic
410C22×D4—41no—
411C22×D4—41no—
412C22×D4—42no—
413C22×D4—434no—
414C22×D4—861no—
415C22×D4—861no—
416C22×D4—861no—
417C22×D4—862no—
418C22×D4—861no—
419C22×D4—1722no—
420C22×D4—1721no—
421C22×D4—1721no—
422C22×D4C4×D4311yescharacteristic
423C22×D4C4×D4312yes—
424C22×D4D17211yescharacteristic
425C22×D4D17212yes—
426C22×D4C22⋊D4311yescharacteristic
427C22×D4C22⋊D4312yes—
428C22×D4C22×D4311yescharacteristic
429C22×D4C22×D4312yes—
430C23×C4—41no—
431C23×C4—431no—
432C23×C4—861no—
433C23×C4D17211yescharacteristic
434C2×M16—862no—
435C2×M16—864no—
436C2×M16—1722no—
437C2×M16—1721no—
438C22×C8—1721no—
439#123—432no—
440#123—434no—
441#123—432no—
442#123—862no—
443#123—861no—
444#123—861no—
445#123—864no—
446#123—864no—
447#121—864no—
448#121—864no—
449#121—864no—
450#121—864no—
451#120—432no—
452#120—434no—
453#120—432no—
454#120—864no—
455#120—864no—
456#120—862no—
457#120—861no—
458#120—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—861no—
461C2×C22⋊C4—22no—
462C2×C22⋊C4—24no—
463C2×C22⋊C4—42no—
464C2×C22⋊C4—41no—
465C2×C22⋊C4—431no—
466C2×C22⋊C4—431no—
467C2×C22⋊C4—434no—
468C2×C22⋊C4—862no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4—861no—
471C2×C22⋊C4—861no—
472C2×C22⋊C4—861no—
473C2×C22⋊C4—861no—
474#100—434no—
475#100—862no—
476#100—864no—
477#99—22no—
478#99—24no—
479#99C22×D4314yes—
480C24—21no—
481C24—22no—
482C24—21no—
483C24—22no—
484C24—21no—
485C24—21no—
486C24—82no—
487C24—82no—
488C24—432no—
489C24—861no—
490C24—861no—
491C24—3442no—
492C24—1721no—
493C24—1721no—
494C24(C2×D43)⋊C411yescharacteristic
495C24(C2×D43)⋊C411yescharacteristic
496C24(C2×D43)⋊C412yes—
497C24(C2×D43)⋊C412yes—
498C24(C2×D43)⋊C411yescharacteristic
499C24C2×C4×D4311yescharacteristic
500C24C2×C4×D4312yes—
501C24C2×C22⋊D4311yescharacteristic
502C24C2×C22⋊D4312yes—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—41no—
506C2×D4—41no—
507C2×D4—41no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—41no—
511C2×D4—42no—
512C2×D4—41no—
513C2×D4—42no—
514C2×D4—41no—
515C2×D4—42no—
516C2×D4—41no—
517C2×D4—42no—
518C2×D4—41no—
519C2×D4—862no—
520C2×D4—864no—
521C2×D4—862no—
522C2×D4—864no—
523C2×D4—864no—
524C2×D4—3442no—
525C2×D4—3442no—
526C2×D4—1724no—
527C2×D4—1724no—
528C2×D4—1722no—
529C2×D4—1722no—
530C2×D4—1722no—
531C2×D4—1721no—
532C2×D4—1721no—
533C2×D4—1724no—
534C2×D4—1724no—
535C2×D4(C2×D43)⋊C412yes—
536C2×D4(C2×D43)⋊C412yes—
537C2×D4(C2×D43)⋊C412yes—
538C2×D4C2×C4×D4311yescharacteristic
539C2×D4C2×C4×D4312yes—
540C2×D4C2×D17211yescharacteristic
541C2×D4C2×D17212yes—
542C2×D4C2×C22⋊D4311yescharacteristic
543C2×D4C2×C22⋊D4312yes—
544C2×D4C23×D4311yescharacteristic
545C22×C4—21no—
546C22×C4—22no—
547C22×C4—21no—
548C22×C4—44no—
549C22×C4—42no—
550C22×C4—84no—
551C22×C4—432no—
552C22×C4—864no—
553C22×C4—861no—
554C22×C4—861no—
555C22×C4—861no—
556C22×C4—861no—
557C22×C4—3442no—
558C22×C4—1721no—
559C22×C4—1721no—
560C22×C4(C2×D43)⋊C411yescharacteristic
561C22×C4(C2×D43)⋊C412yes—
562C22×C4C2×D17211yescharacteristic
563C22×C4C2×D17212yes—
564M16—864no—
565M16—1722no—
566M16—1724no—
567C2×C8—1724no—
568C2×C8—1722no—
569C4⋊C4—864no—
570C4⋊C4—862no—
571C4⋊C4—862no—
572C22⋊C4—24no—
573C22⋊C4—42no—
574C22⋊C4—44no—
575C22⋊C4—432no—
576C22⋊C4—432no—
577C22⋊C4—861no—
578C22⋊C4—861no—
579C22⋊C4—864no—
580C22⋊C4—864no—
581C22⋊C4—862no—
582C22⋊C4—862no—
583C22⋊C4—864no—
584C22⋊C4—862no—
585C22⋊C4—862no—
586C23—22no—
587C23—21no—
588C23—21no—
589C23—22no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—21no—
601C23—22no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—44no—
606C23—42no—
607C23—42no—
608C23—82no—
609C23—82no—
610C23—82no—
611C23—82no—
612C23—82no—
613C23—82no—
614C23—82no—
615C23—84no—
616C23—84no—
617C23—862no—
618C23—3444no—
619C23—3444no—
620C23—3442no—
621C23—3442no—
622C23—1722no—
623C23—1722no—
624C23—1722no—
625C23—1722no—
626C23—1721no—
627C23—1721no—
628C23#1306323911yescharacteristic
629C23#1306323911yescharacteristic
630C23#1306323912yes—
631C23C2×(C2×D43)⋊C411yescharacteristic
632C23C2×(C2×D43)⋊C411yescharacteristic
633C23C2×(C2×D43)⋊C412yes—
634C23C2×(C2×D43)⋊C411yescharacteristic
635C23C2×(C2×D43)⋊C412yes—
636C23C2×(C2×D43)⋊C412yes—
637C23C22×C4×D4311yescharacteristic
638C23C22×C22⋊D4311yescharacteristic
639D4—42no—
640D4—42no—
641D4—42no—
642D4—42no—
643D4—41no—
644D4—41no—
645D4—42no—
646D4—41no—
647D4—42no—
648D4—41no—
649D4—3444no—
650D4—3442no—
651D4—3442no—
652D4—1728no—
653D4—1724no—
654D4—1724no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—44no—
664C2×C4—88no—
665C2×C4—84no—
666C2×C4—862no—
667C2×C4—862no—
668C2×C4—862no—
669C2×C4—3444no—
670C2×C4—1722no—
671C2×C4—1722no—
672C2×C4—1722no—
673C2×C4—1721no—
674C2×C4—1721no—
675C2×C4—1722no—
676C2×C4C2×(C2×D43)⋊C412yes—
677C2×C4C2×(C2×D43)⋊C411yescharacteristic
678C2×C4C22×D17211yescharacteristic
679C8—1724no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—22no—
687C22—22no—
688C22—21no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—44no—
698C22—42no—
699C22—42no—
700C22—44no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—81no—
706C22—81no—
707C22—82no—
708C22—82no—
709C22—82no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—3442no—
714C22—3444no—
715C22—3444no—
716C22—3442no—
717C22—1722no—
718C22—1722no—
719C22—1722no—
720C22C2×#1306323911yescharacteristic
721C22C2×#1306323912yes—
722C22C2×#1306323912yes—
723C22C2×#1306323911yescharacteristic
724C22C22×(C2×D43)⋊C411yescharacteristic
725C4—21no—
726C4—22no—
727C4—21no—
728C4—84no—
729C4—1722no—
730C4—1722no—
731C4—1722no—
732C2—21no—
733C2—21no—
734C2—22no—
735C2—22no—
736C2—41no—
737C2—42no—
738C2—41no—
739C2—41no—
740C2—41no—
741C2—42no—
742C2—3442no—
743C2#1913623912yesdirect product factor
744C2C22×#1306323911yescharacteristic
subgroupG/H
centerC22C2×#13063239
commutatorC23×C43C23×C4
FrattiniC2×D4C23×D43
FittingC22×#99×C43C2
socleC22×C43C2×#99
prime radicalC2×#14583458C2
cosocleC2×D4×C43C24
hypercenterC22×#99D43
hypocenterC43C2×#2121
LCSG ▷ C23×C43 ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C24 ◁ C23×D4 ◁ C22×#99

Complements

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

NH ≅ G/Ntype
2. C22×#13063242C2semidirect
3. #19136239C2direct (N × H)
4. C2×#14582688C2semidirect
5. C2×#14582685C2semidirect
6. C22×#99×C43C2semidirect
7. C23×C22⋊D43C4semidirect
11. #14583458C4semidirect
14. C2×#13063306C4semidirect
19. C2×#13063293C4semidirect
21. C22×C22⋊Dic43C4semidirect
25. C2×#13063242C22semidirect
26. #14582688C22semidirect
27. #14582685C22semidirect
33. C2×#99×C43C22semidirect
34. C24×D43C2×C4semidirect
43. C22×C22⋊D43C2×C4semidirect
45. C23×Dic43C2×C4semidirect
56. #13063306C2×C4semidirect
57. #13063306C2×C4semidirect
68. #13063293C2×C4semidirect
69. #13063293C2×C4semidirect
77. C2×C22⋊Dic43C2×C4semidirect
78. C2×C22⋊Dic43C2×C4semidirect
79. C2×C22⋊Dic43C2×C4semidirect
129. C23×D43C22×C4semidirect
190. C22×Dic43C22×C4semidirect
200. C22⋊Dic43C22×C4semidirect
201. C22⋊Dic43C22×C4semidirect
362. C22×#99D43semidirect
376. C2×C43#2121semidirect
403. C2×#99C2×D43semidirect
406. C43C2×#2121semidirect
743. C2#19136239direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145834582
C22×#130632422
#191362392
C2×#145826882
C2×#145826852
C22×#99×C432
C2×#212143