Finite Group Databasebeta

← #669489

Subgroups — #669489

Order 512.

3296 conjugacy classes of subgroups.

The subgroup lattice has 809 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2486C211yesmaximal, characteristic
2C2×#2344C211yesmaximal, characteristic, complemented
3C2×C4×#123C211yesmaximal, characteristic
4C22×#389C211yesmaximal, characteristic, complemented
5#15818C214yesmaximal, complemented
6#15812C214yesmaximal, complemented
7#15220C212yesmaximal, complemented
8#15194C212yesmaximal, complemented
9#15069C212yesmaximal
10#14919C212yesmaximal, complemented
11#14685C211yesmaximal, characteristic, complemented
12#14150C212yesmaximal, complemented
13#14135C212yesmaximal
14#13993C212yesmaximal, complemented
15#13881C211yesmaximal, characteristic, complemented
16#13872C211yesmaximal, characteristic
17#13870C212yesmaximal, complemented
18C22×#123C2211yescharacteristic
19C22×#123C2212yes—
20C22×C4×D4C2211yescharacteristic
21C22×#117C2212yes—
22C23×C4⋊C4C2211yescharacteristic
23C23×C4⋊C4C2212yes—
24C23×C4⋊C4C2211yescharacteristic
25C23×C42C2211yescharacteristic
26#2486—28no—
27C2×#398C2212yes—
28C2×#397C2212yes—
29#2344—28no—
30C4×#123—28no—
31C2×#389—28no—
32C2×#389C2212yes—
33C2×#389C2211yescharacteristic
34C2×#389C2212yes—
35C2×#389C2211yescharacteristic
36C2×#389C2212yes—
37C2×#389C2214yes—
38C2×#388C2212yes—
39C2×#387C2214yes—
40C2×#387C2212yes—
41C2×#386C2211yescharacteristic
42C2×#386C2212yes—
43C2×#385C2211yescharacteristic
44C2×#382C2212yes—
45C2×#381C2211yescharacteristic
46C2×#381C2212yes—
47C2×#381C2212yes—
48C2×#381C2212yes—
49C2×#380C2211yescharacteristic
50C2×#380C2212yes—
51C2×#380C2211yescharacteristic
52C2×#380C2211yescharacteristic
53C2×#380C2211yescharacteristic
54C2×C4×C4⋊C4C2212yes—
55C2×C4×C4⋊C4C2212yes—
56C2×C4×C22⋊C4C2212yes—
57C2×C4×C22⋊C4C2211yescharacteristic
58C22×#95C2212yes—
59#1445C2214yes—
60#1444C2214yes—
61#1444C2214yes—
62#1443C2214yes—
63#1443C2214yes—
64#1442C2214yes—
65#1442C2214yes—
66#1441C2214yes—
67#1441C2214yes—
68#1441C2212yes—
69#1441C2214yes—
70#1439C2212yes—
71#1439C2214yes—
72#1439C2214yes—
73#1439C2214yes—
74#1437C2214yes—
75#1436C2214yes—
76#1436C2214yes—
77#1436C2214yes—
78C4⋊#95C2212yes—
79C4⋊#95C2212yes—
80C4⋊#95C2212yes—
81C4⋊#95C2212yes—
82#1434C2214yes—
83C22⋊#95C2212yes—
84C22⋊#95C2212yes—
85C22⋊#95C2212yes—
86C22⋊#95C2212yes—
87C23×D4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2312yes—
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2312yes—
93C24×C4C2311yescharacteristic
94C2×#123—24no—
95C2×#123—24no—
96C2×#123—28no—
97C2×#123—28no—
98C2×#123—24no—
99C2×#123—44no—
100C2×C4×D4—24no—
101C2×C4×D4—24no—
102C2×C4×D4—24no—
103C2×#117—28no—
104C2×#117—44no—
105C2×#117—44no—
106C22×C4⋊C4—24no—
107C22×C4⋊C4—24no—
108C22×C4⋊C4—24no—
109C22×C4⋊C4—28no—
110C22×C4⋊C4—28no—
111C22×C4⋊C4—28no—
112C22×C4⋊C4—44no—
113C22×C4⋊C4D418yes—
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2314yes—
123C22×C4⋊C4C2314yes—
124C22×C4⋊C4C2312yes—
125C22×C4⋊C4C2312yes—
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2312yes—
129C22×C4⋊C4C2314yes—
130C22×C22⋊C4C2311yescharacteristic
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2311yescharacteristic
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2311yescharacteristic
139C22×C22⋊C4C2311yescharacteristic
140C22×C22⋊C4C2314yes—
141C22×C42—24no—
142C22×C42—24no—
143C22×C42—24no—
144C22×C42C2312yes—
145C22×C42C2312yes—
146C22×C42C2311yescharacteristic
147C22×C42C2312yes—
148C22×C42C2314yes—
149#398—28no—
150#397—28no—
151#389—24no—
152#389—24no—
153#389—28no—
154#389—28no—
155#389—216no—
156#389—28no—
157#388—28no—
158#387—216no—
159#387—28no—
160#386—24no—
161#386—44no—
162#385—24no—
163#382—28no—
164#381—28no—
165#381—28no—
166#381—24no—
167#381—44no—
168#380—24no—
169#380—24no—
170#380—24no—
171#380—24no—
172#380—28no—
173C4×C4⋊C4—28no—
174C4×C4⋊C4—28no—
175C4×C22⋊C4—28no—
176C4×C22⋊C4D418yes—
177C2×#95—28no—
178C2×#95C2312yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2312yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2312yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2314yes—
200C2×#95C2314yes—
201C2×#95C2314yes—
202C2×#95C2314yes—
203C2×#95C2312yes—
204C25C2411yescharacteristic
205C25C2411yescharacteristic
206C22×D4—22no—
207C22×D4—22no—
208C22×D4—22no—
209C22×D4—22no—
210C22×D4—22no—
211C22×D4—22no—
212C22×D4#4114yes—
213C23×C4—24no—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—22no—
217C23×C4—24no—
218C23×C4—22no—
219C23×C4—22no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—22no—
223C23×C4—24no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—22no—
229C23×C4—28no—
230C23×C4—24no—
231C23×C4—22no—
232C23×C4—24no—
233C23×C4—22no—
234C23×C4—24no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—44no—
241C23×C4—42no—
242C23×C4C2×D418yes—
243C23×C4C2×D414yes—
244C23×C4C2×D414yes—
245C23×C4#4114yes—
246C23×C4#4114yes—
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2411yescharacteristic
250C23×C4C2414yes—
251C23×C4C2411yescharacteristic
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2412yes—
255C23×C4C2412yes—
256C23×C4C2412yes—
257C23×C4C2414yes—
258C23×C4C2411yescharacteristic
259C23×C4C2412yes—
260C23×C4C2411yescharacteristic
261C23×C4C2411yescharacteristic
262#123—232no—
263#123—432no—
264C4×D4—416no—
265#117—432no—
266C2×C4⋊C4—232no—
267C2×C4⋊C4—232no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—28no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—28no—
282C2×C4⋊C4—28no—
283C2×C4⋊C4—28no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—22no—
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—28no—
293C2×C4⋊C4—28no—
294C2×C4⋊C4—22no—
295C2×C4⋊C4—24no—
296C2×C4⋊C4—24no—
297C2×C4⋊C4—24no—
298C2×C4⋊C4—24no—
299C2×C4⋊C4—24no—
300C2×C4⋊C4—24no—
301C2×C4⋊C4—24no—
302C2×C4⋊C4—44no—
303C2×C4⋊C4—44no—
304C2×C4⋊C4—42no—
305C2×C4⋊C4—44no—
306C2×C4⋊C4—44no—
307C2×C4⋊C4—42no—
308C2×C4⋊C4—42no—
309C2×C4⋊C4—432no—
310C2×C4⋊C4C2×D414yes—
311C2×C4⋊C4C2×D414yes—
312C2×C4⋊C4C2×D418yes—
313C2×C4⋊C4#4118yes—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—22no—
316C2×C22⋊C4—22no—
317C2×C22⋊C4—22no—
318C2×C22⋊C4—22no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—22no—
323C2×C22⋊C4—22no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—22no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—22no—
333C2×C22⋊C4—22no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—22no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—28no—
340C2×C22⋊C4—42no—
341C2×C22⋊C4—42no—
342C2×C22⋊C4—42no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4C2×D414yes—
346C2×C22⋊C4C2×D414yes—
347C2×C42—24no—
348C2×C42—24no—
349C2×C42—28no—
350C2×C42—22no—
351C2×C42—22no—
352C2×C42—24no—
353C2×C42—24no—
354C2×C42—24no—
355C2×C42—24no—
356C2×C42—22no—
357C2×C42—24no—
358C2×C42—24no—
359C2×C42—44no—
360C2×C42—44no—
361C2×C42—416no—
362C2×C42C2×D418yes—
363#95—28no—
364#95—28no—
365#95—24no—
366#95—24no—
367#95—28no—
368#95—24no—
369#95—24no—
370#95—24no—
371#95—24no—
372#95—24no—
373#95—24no—
374#95—28no—
375#95—24no—
376#95—24no—
377#95—28no—
378#95—28no—
379#95—28no—
380#95—28no—
381#95—44no—
382#95—44no—
383#95—44no—
384#95—44no—
385#95—44no—
386#95—44no—
387#95—44no—
388#95C2×D418yes—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—21no—
394C24—21no—
395C24—22no—
396C24—21no—
397C24—21no—
398C24—21no—
399C24—21no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24C22×D412yes—
404C24C22×D412yes—
405C24C2×#4112yes—
406C24C2×#4112yes—
407C24C2×#4112yes—
408C24C2×#4112yes—
409C24H(5,𝔽2)12yes—
410C24H(5,𝔽2)12yes—
411C24C2511yescharacteristic
412C2×D4—28no—
413C2×D4—28no—
414C2×D4—28no—
415C2×D4—44no—
416C2×D4—44no—
417C2×D4—44no—
418C2×D4—44no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—28no—
422C22×C4—28no—
423C22×C4—216no—
424C22×C4—216no—
425C22×C4—216no—
426C22×C4—28no—
427C22×C4—216no—
428C22×C4—28no—
429C22×C4—28no—
430C22×C4—216no—
431C22×C4—216no—
432C22×C4—28no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—21no—
438C22×C4—22no—
439C22×C4—24no—
440C22×C4—22no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—21no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—416no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—416no—
512C22×C4—48no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—44no—
519C22×C4—48no—
520C22×C4—44no—
521C22×C4—48no—
522C22×C4—48no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—48no—
528C22×C4—48no—
529C22×C4#121116yes—
530C22×C4C22×D414yes—
531C22×C4C22×D414yes—
532C22×C4C22×D414yes—
533C22×C4C22×D414yes—
534C22×C4C22×D412yes—
535C22×C4C22×D412yes—
536C22×C4C22×D412yes—
537C22×C4C22×D412yes—
538C22×C4C2×#4118yes—
539C22×C4C2×#4114yes—
540C22×C4C2×#4112yes—
541C22×C4C2×#4112yes—
542C22×C4C2×#4112yes—
543C22×C4C2×#4114yes—
544C22×C42−1+414yes—
545C22×C42−1+414yes—
546C4⋊C4—216no—
547C4⋊C4—216no—
548C4⋊C4—216no—
549C4⋊C4—28no—
550C4⋊C4—28no—
551C4⋊C4—216no—
552C4⋊C4—48no—
553C4⋊C4—416no—
554C4⋊C4—416no—
555C4⋊C4—48no—
556C4⋊C4—48no—
557C4⋊C4—416no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—48no—
562C22⋊C4—216no—
563C22⋊C4—28no—
564C22⋊C4—28no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—44no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—44no—
572C22⋊C4—88no—
573C42—216no—
574C42—416no—
575C42—48no—
576C42—48no—
577C42—44no—
578C23—22no—
579C23—22no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—22no—
585C23—22no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—24no—
598C23—24no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—42no—
605C23—42no—
606C23—41no—
607C23—42no—
608C23—41no—
609C23—41no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23C2×#12114yes—
618C23#52514yes—
619C23#53514yes—
620C23#54614yes—
621C23#54614yes—
622C23#55314yes—
623C23#55314yes—
624C23C23×D411yescharacteristic
625C23C23×D411yescharacteristic
626C23C22×#4111yescharacteristic
627C23C22×#4111yescharacteristic
628C23C22×#4111yescharacteristic
629C23C22×#4112yes—
630C23C2×H(5,𝔽2)11yescharacteristic
631C23C2×H(5,𝔽2)11yescharacteristic
632C23C2×2−1+412yes—
633C23C2×2−1+412yes—
634C23#58512yes—
635D4—416no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—232no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—28no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—28no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—28no—
665C2×C4—432no—
666C2×C4—416no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—44no—
677C2×C4—42no—
678C2×C4—41no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—432no—
699C2×C4—416no—
700C2×C4—42no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—42no—
704C2×C4—41no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—41no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—44no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—41no—
716C2×C4—41no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—44no—
720C2×C4—42no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—88no—
729C2×C4C2×#12114yes—
730C2×C4C2×#12114yes—
731C2×C4#52514yes—
732C2×C4#53614yes—
733C2×C4#54718yes—
734C2×C4#55218yes—
735C22—28no—
736C22—24no—
737C22—24no—
738C22—24no—
739C22—28no—
740C22—24no—
741C22—28no—
742C22—28no—
743C22—24no—
744C22—24no—
745C22—44no—
746C22—42no—
747C22—42no—
748C22—44no—
749C22—42no—
750C22—81no—
751C22—81no—
752C22—81no—
753C22—82no—
754C22—82no—
755C22—81no—
756C22#253518yes—
757C22C22×#12111yescharacteristic
758C22C2×#52511yescharacteristic
759C22C2×#52511yescharacteristic
760C22C2×#53511yescharacteristic
761C22C2×#53611yescharacteristic
762C22C2×#54611yescharacteristic
763C22C2×#54611yescharacteristic
764C22C2×#54712yes—
765C22C2×#55212yes—
766C22C2×#55311yescharacteristic
767C22C2×#55311yescharacteristic
768C22#347512yes—
769C22#348212yes—
770C22#348611yescharacteristic
771C22#348711yescharacteristic
772C22#348912yes—
773C22#349512yes—
774C22#350912yes—
775C22#351312yes—
776C22#351512yes—
777C22#352212yes—
778C22#354412yes—
779C22#355912yes—
780C4—24no—
781C4—44no—
782C4—48no—
783C4—44no—
784C4—44no—
785C4—44no—
786C4—42no—
787C4—44no—
788C4—44no—
789C4—82no—
790C4—81no—
791C4—84no—
792C4—81no—
793C4—82no—
794C4#241318yes—
795C2—28no—
796C2—82no—
797C2C2×#241311yescharacteristic
798C2C2×#253511yescharacteristic
799C2#3566111yescharacteristic
800C2#3616211yescharacteristic
801C2#3637512yes—
802C2#3642211yescharacteristic
803C2#3804112yes—
804C2#3890711yescharacteristic
805C2#3946511yescharacteristic
806C2#5920912yes—
807C2#5928912yes—
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×#2344C2semidirect
4. C22×#389C2semidirect
5. #15818C2semidirect
6. #15812C2semidirect
7. #15220C2semidirect
8. #15194C2semidirect
10. #14919C2semidirect
11. #14685C2semidirect
12. #14150C2semidirect
14. #13993C2semidirect
15. #13881C2semidirect
17. #13870C2semidirect

Maximal subgroups

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

subgroupindex
C2×#24862
C2×#23442
C2×C4×#1232
C22×#3892
#158182
#158122
#152202
#151942
#150692
#149192
#146852
#141502
#141352
#139932
#138812
#138722
#138702