Finite Group Databasebeta

← #711889

Subgroups — #711889

Order 512.

3878 conjugacy classes of subgroups.

The subgroup lattice has 795 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#554C211yesmaximal, characteristic
2C2×#2625C211yesmaximal, characteristic, complemented
3C2×#2395C211yesmaximal, characteristic
4C2×#2317C211yesmaximal, characteristic, complemented
5#16262C214yesmaximal, complemented
6#15881C212yesmaximal, complemented
7#15850C212yesmaximal, complemented
8#15670C212yesmaximal, complemented
9#15430C212yesmaximal, complemented
10#15179C212yesmaximal, complemented
11#15128C212yesmaximal, complemented
12#14731C214yesmaximal
13#14138C211yesmaximal, characteristic, complemented
14#14130C212yesmaximal, complemented
15#14017C212yesmaximal, complemented
16#13904C211yesmaximal, characteristic, complemented
17#13871C211yesmaximal, characteristic
18C2×#554—28no—
19C2×#554—28no—
20C2×#554—28no—
21C22×C4⋊Q8C2211yescharacteristic
22C22×#125C2212yes—
23C22×C22⋊Q8C2212yes—
24C22×C22⋊Q8C2211yescharacteristic
25C22×C22⋊Q8C2212yes—
26C22×C22⋊Q8C2211yescharacteristic
27C22×C4×Q8C2211yescharacteristic
28C22×C4×D4C2212yes—
29C22×C4×D4C2211yescharacteristic
30C22×#117C2211yescharacteristic
31C22×#117C2211yescharacteristic
32C23×C4⋊C4C2211yescharacteristic
33C23×C4⋊C4C2211yescharacteristic
34#2625—28no—
35#2395—28no—
36C2×#400C2212yes—
37C2×#400C2211yescharacteristic
38C2×#399C2211yescharacteristic
39C2×#398C2211yescharacteristic
40C2×#398C2212yes—
41C2×#397C2214yes—
42C2×#397C2211yescharacteristic
43C2×#397C2212yes—
44C2×#395C2214yes—
45C2×#394C2212yes—
46#2317—28no—
47C2×#391C2212yes—
48C2×#391C2212yes—
49C2×#389C2212yes—
50C2×#389C2212yes—
51C2×#389C2212yes—
52C2×#385C2214yes—
53C2×#385C2214yes—
54C2×#384C2212yes—
55C2×#382C2212yes—
56C2×#381C2214yes—
57C2×#380C2212yes—
58C2×#380C2211yescharacteristic
59C2×C4×C4⋊C4C2212yes—
60C2×C4×C22⋊C4C2212yes—
61C2×C4×C22⋊C4C2211yescharacteristic
62#1446C2214yes—
63#1445C2212yes—
64#1445C2212yes—
65#1444C2214yes—
66#1444C2214yes—
67#1444C2214yes—
68#1442C2214yes—
69#1442C2214yes—
70#1442C2214yes—
71#1441C2214yes—
72#1441C2214yes—
73#1440C2212yes—
74#1440C2214yes—
75#1440C2214yes—
76#1439C2214yes—
77#1438C2212yes—
78#1437C2212yes—
79#1436C2212yes—
80#1436C2212yes—
81#1436C2214yes—
82#1436C2212yes—
83#1436C2214yes—
84C4⋊#95C2212yes—
85C4⋊#95C2212yes—
86C4⋊#95C2212yes—
87C4⋊#95C2212yes—
88C22⋊#95C2214yes—
89C23×Q8C2311yescharacteristic
90C23×Q8C2312yes—
91C23×D4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2312yes—
95C24×C4C2312yes—
96#554—2128no—
97C2×C4⋊Q8—24no—
98C2×C4⋊Q8—24no—
99C2×C4⋊Q8—24no—
100C2×#125—28no—
101C2×#125—28no—
102C2×#125—28no—
103C2×C22⋊Q8—24no—
104C2×C22⋊Q8—28no—
105C2×C22⋊Q8—24no—
106C2×C22⋊Q8—24no—
107C2×C22⋊Q8—24no—
108C2×C22⋊Q8—28no—
109C2×C22⋊Q8—28no—
110C2×C22⋊Q8—24no—
111C2×C22⋊Q8—28no—
112C2×C22⋊Q8—28no—
113C2×C22⋊Q8—28no—
114C2×C22⋊Q8D418yes—
115C2×C4×Q8—24no—
116C2×C4×Q8—24no—
117C2×C4×Q8—24no—
118C2×C4×D4—28no—
119C2×C4×D4—28no—
120C2×C4×D4—24no—
121C2×C4×D4—24no—
122C2×C4×D4—28no—
123C2×C4×D4D418yes—
124C2×#117—24no—
125C2×#117—24no—
126C2×#117—24no—
127C2×#117—24no—
128C2×#117—28no—
129C22×C4⋊C4—24no—
130C22×C4⋊C4—24no—
131C22×C4⋊C4—24no—
132C22×C4⋊C4—24no—
133C22×C4⋊C4—24no—
134C22×C4⋊C4D418yes—
135C22×C4⋊C4C2312yes—
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2311yescharacteristic
138C22×C4⋊C4C2312yes—
139C22×C4⋊C4C2312yes—
140C22×C4⋊C4C2312yes—
141C22×C4⋊C4C2312yes—
142C22×C4⋊C4C2312yes—
143C22×C4⋊C4C2312yes—
144C22×C4⋊C4C2311yescharacteristic
145C22×C4⋊C4C2312yes—
146C22×C4⋊C4C2311yescharacteristic
147C22×C4⋊C4C2312yes—
148C22×C4⋊C4C2311yescharacteristic
149C22×C4⋊C4C2311yescharacteristic
150C22×C4⋊C4C2312yes—
151C22×C4⋊C4C2314yes—
152C22×C4⋊C4C2314yes—
153C22×C4⋊C4C2314yes—
154C22×C22⋊C4C2312yes—
155C22×C22⋊C4C2312yes—
156C22×C22⋊C4C2312yes—
157C22×C22⋊C4C2312yes—
158C22×C22⋊C4C2312yes—
159C22×C22⋊C4C2312yes—
160C22×C22⋊C4C2314yes—
161C22×C22⋊C4C2312yes—
162C22×C22⋊C4C2311yescharacteristic
163C22×C22⋊C4C2311yescharacteristic
164C22×C22⋊C4C2312yes—
165C22×C42C2312yes—
166C22×C42C2312yes—
167C22×C42C2312yes—
168C22×C42C2312yes—
169C22×C42C2311yescharacteristic
170#400—28no—
171#400—24no—
172#399—24no—
173#398—28no—
174#398—24no—
175#397—216no—
176#397—28no—
177#397—24no—
178#395—48no—
179#394—28no—
180#391—28no—
181#391—28no—
182#389—28no—
183#389—28no—
184#389—28no—
185#385—216no—
186#385—48no—
187#384—28no—
188#382—28no—
189#381—48no—
190#380—24no—
191#380—28no—
192C4×C4⋊C4—28no—
193C4×C22⋊C4—28no—
194C4×C22⋊C4—24no—
195C2×#95C2312yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2312yes—
199C2×#95C2314yes—
200C2×#95C2312yes—
201C2×#95C2314yes—
202C2×#95C2311yescharacteristic
203C2×#95C2314yes—
204C2×#95C2312yes—
205C2×#95C2311yescharacteristic
206C2×#95C2312yes—
207C2×#95C2314yes—
208C2×#95C2314yes—
209C2×#95C2314yes—
210C2×#95C2314yes—
211C2×#95C2314yes—
212C2×#95C2314yes—
213C2×#95C2314yes—
214C2×#95C2314yes—
215C2×#95C2314yes—
216C2×#95C2314yes—
217C2×#95C2314yes—
218C25C2411yescharacteristic
219C25C2411yescharacteristic
220C22×Q8—22no—
221C22×Q8—22no—
222C22×Q8—24no—
223C22×Q8—24no—
224C22×Q8—24no—
225C22×Q8—24no—
226C22×Q8—24no—
227C22×Q8—44no—
228C22×Q8—44no—
229C22×Q8C2×D414yes—
230C22×D4—22no—
231C22×D4—22no—
232C22×D4—24no—
233C22×D4—24no—
234C22×D4C2×D414yes—
235C23×C4—24no—
236C23×C4—24no—
237C23×C4—24no—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—24no—
243C23×C4—24no—
244C23×C4—24no—
245C23×C4—24no—
246C23×C4—44no—
247C23×C4—44no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4C2×D414yes—
251C23×C4C2×D414yes—
252C23×C4C2×D414yes—
253C23×C4C2×D414yes—
254C23×C4C2×D418yes—
255C23×C4C2412yes—
256C23×C4C2414yes—
257C23×C4C2412yes—
258C23×C4C2412yes—
259C23×C4C2411yescharacteristic
260C23×C4C2412yes—
261C23×C4C2412yes—
262C23×C4C2412yes—
263C23×C4C2411yescharacteristic
264C23×C4C2412yes—
265C23×C4C2414yes—
266C23×C4C2412yes—
267C23×C4C2411yescharacteristic
268C23×C4C2411yescharacteristic
269C23×C4C2411yescharacteristic
270C4⋊Q8—232no—
271#125—264no—
272C22⋊Q8—232no—
273C22⋊Q8—264no—
274C22⋊Q8—264no—
275C22⋊Q8—232no—
276C4×Q8—232no—
277C4×D4—264no—
278C4×D4—232no—
279#117—232no—
280#117—416no—
281C2×C4⋊C4—232no—
282C2×C4⋊C4—232no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—22no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—22no—
297C2×C4⋊C4—24no—
298C2×C4⋊C4—24no—
299C2×C4⋊C4—24no—
300C2×C4⋊C4—24no—
301C2×C4⋊C4—24no—
302C2×C4⋊C4—24no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—24no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—28no—
324C2×C4⋊C4—28no—
325C2×C4⋊C4—28no—
326C2×C4⋊C4—42no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—44no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4C2×D414yes—
334C2×C4⋊C4C2×D414yes—
335C2×C4⋊C4C2×D418yes—
336C2×C4⋊C4C2×D414yes—
337C2×C4⋊C4C2×D414yes—
338C2×C4⋊C4C2×D418yes—
339C2×C4⋊C4#4118yes—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—24no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—28no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—28no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—28no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—42no—
365C2×C22⋊C4—42no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4C2×D418yes—
369C2×C22⋊C4C2×D414yes—
370C2×C22⋊C4C2×D414yes—
371C2×C42—24no—
372C2×C42—24no—
373C2×C42—24no—
374C2×C42—24no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—28no—
378C2×C42—24no—
379C2×C42—24no—
380C2×C42—24no—
381C2×C42—24no—
382C2×C42—24no—
383C2×C42—24no—
384C2×C42C2×D414yes—
385#95—24no—
386#95—22no—
387#95—24no—
388#95—22no—
389#95—24no—
390#95—24no—
391#95—24no—
392#95—28no—
393#95—28no—
394#95—28no—
395#95—28no—
396#95—28no—
397#95—28no—
398#95—28no—
399#95—28no—
400#95—28no—
401#95—28no—
402#95—28no—
403#95—28no—
404#95—44no—
405#95—44no—
406#95—44no—
407#95—44no—
408C24—21no—
409C24—21no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24—22no—
414C24—22no—
415C24—22no—
416C24—22no—
417C24—22no—
418C24—22no—
419C24—22no—
420C24—22no—
421C24C22×D412yes—
422C24C22×D412yes—
423C24C22×D412yes—
424C24C22×D412yes—
425C242−1+414yes—
426C24C2511yescharacteristic
427C2×Q8—216no—
428C2×Q8—28no—
429C2×Q8—216no—
430C2×Q8—44no—
431C2×Q8—44no—
432C2×Q8—48no—
433C2×Q8—88no—
434C2×Q8—88no—
435C2×Q8—84no—
436C2×Q8—84no—
437C2×D4—216no—
438C2×D4—216no—
439C2×D4—28no—
440C2×D4—28no—
441C2×D4—28no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—28no—
448C22×C4—28no—
449C22×C4—216no—
450C22×C4—216no—
451C22×C4—22no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—216no—
488C22×C4—216no—
489C22×C4—28no—
490C22×C4—216no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—24no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—24no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—416no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—48no—
523C22×C4—88no—
524C22×C4—84no—
525C22×C4—84no—
526C22×C4—88no—
527C22×C4—88no—
528C22×C4—84no—
529C22×C4—84no—
530C22×C4#120116yes—
531C22×C4C22×D414yes—
532C22×C4C22×D412yes—
533C22×C4C22×D414yes—
534C22×C4C22×D412yes—
535C22×C4C22×D414yes—
536C22×C4C22×D414yes—
537C22×C4C22×D412yes—
538C22×C4C22×D412yes—
539C22×C4C22×D412yes—
540C22×C4C22×D412yes—
541C22×C4C22×D412yes—
542C22×C4C22×D412yes—
543C22×C4C22×D412yes—
544C22×C4C2×#4118yes—
545C22×C4C2×#4114yes—
546C22×C4H(5,𝔽2)14yes—
547C22×C42−1+414yes—
548C22×C42−1+414yes—
549C4⋊C4—216no—
550C4⋊C4—216no—
551C4⋊C4—216no—
552C4⋊C4—216no—
553C4⋊C4—28no—
554C4⋊C4—216no—
555C4⋊C4—28no—
556C4⋊C4—28no—
557C4⋊C4—28no—
558C4⋊C4—216no—
559C4⋊C4—216no—
560C4⋊C4—48no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—48no—
564C4⋊C4—48no—
565C4⋊C4—88no—
566C4⋊C4—88no—
567C4⋊C4—88no—
568C22⋊C4—216no—
569C22⋊C4—216no—
570C22⋊C4—216no—
571C22⋊C4—28no—
572C22⋊C4—28no—
573C22⋊C4—48no—
574C22⋊C4—48no—
575C22⋊C4—416no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—84no—
579C42—216no—
580C42—216no—
581C42—28no—
582C42—48no—
583C42—48no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—22no—
601C23—22no—
602C23—24no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—41no—
607C23—41no—
608C23—42no—
609C23—42no—
610C23—41no—
611C23—41no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23C2×#12014yes—
625C23#53614yes—
626C23C23×D411yescharacteristic
627C23C23×D411yescharacteristic
628C23C23×D411yescharacteristic
629C23C22×#4112yes—
630C23C2×H(5,𝔽2)12yes—
631C23C2×2−1+412yes—
632C23C2×2−1+412yes—
633C23C2×2−1+412yes—
634C23#58512yes—
635Q8—416no—
636Q8—816no—
637D4—232no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—232no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—28no—
654C2×C4—24no—
655C2×C4—28no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—28no—
659C2×C4—28no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—28no—
663C2×C4—28no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—416no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—42no—
718C2×C4—44no—
719C2×C4—42no—
720C2×C4—816no—
721C2×C4—816no—
722C2×C4C2×#12014yes—
723C2×C4C2×#12014yes—
724C2×C4#52514yes—
725C2×C4#53614yes—
726C2×C4#53614yes—
727C2×C4#54718yes—
728C2×C4#54718yes—
729C22—28no—
730C22—24no—
731C22—24no—
732C22—24no—
733C22—24no—
734C22—44no—
735C22—44no—
736C22—44no—
737C22—44no—
738C22—44no—
739C22—44no—
740C22—44no—
741C22—42no—
742C22—42no—
743C22—44no—
744C22—44no—
745C22—44no—
746C22—44no—
747C22C22×#12011yescharacteristic
748C22C2×#52511yescharacteristic
749C22C2×#53611yescharacteristic
750C22C2×#53611yescharacteristic
751C22C2×#53611yescharacteristic
752C22C2×#54712yes—
753C22C2×#54712yes—
754C22#348612yes—
755C22#348612yes—
756C22#348812yes—
757C22#349612yes—
758C22#349811yescharacteristic
759C22#350011yescharacteristic
760C22#351512yes—
761C22#351612yes—
762C22#352012yes—
763C22#352212yes—
764C22#354412yes—
765C22#355212yes—
766C22#355512yes—
767C22#356312yes—
768C4—24no—
769C4—24no—
770C4—44no—
771C4—48no—
772C4—42no—
773C4—44no—
774C4—44no—
775C4—44no—
776C4—44no—
777C4—42no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4—84no—
782C4#240618yes—
783C2—44no—
784C2—44no—
785C2C2×#240611yescharacteristic
786C2#3524211yescharacteristic
787C2#3551311yescharacteristic
788C2#3572412yes—
789C2#3804012yes—
790C2#3892112yes—
791C2#4243612yes—
792C2#4498912yes—
793C2#4517712yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC23×D4C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2625C2semidirect
4. C2×#2317C2semidirect
5. #16262C2semidirect
6. #15881C2semidirect
7. #15850C2semidirect
8. #15670C2semidirect
9. #15430C2semidirect
10. #15179C2semidirect
11. #15128C2semidirect
13. #14138C2semidirect
14. #14130C2semidirect
15. #14017C2semidirect
16. #13904C2semidirect

Maximal subgroups

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

subgroupindex
C22×#5542
C2×#26252
C2×#23952
C2×#23172
#162622
#158812
#158502
#156702
#154302
#151792
#151282
#147312
#141382
#141302
#140172
#139042
#138712