Finite Group Databasebeta

← #1410001

Subgroups — #1410001

Order 512.

3344 conjugacy classes of subgroups.

The subgroup lattice has 802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2538C211yesmaximal, characteristic, complemented
2C2×#2536C212yesmaximal, complemented
3C2×#2429C212yesmaximal, complemented
4C2×#2429C211yesmaximal, characteristic, complemented
5#17075C212yesmaximal, complemented
6#17015C214yesmaximal, complemented
7#16984C214yesmaximal, complemented
8#16801C212yesmaximal
9#15250C212yesmaximal, complemented
10#15240C211yesmaximal, characteristic, complemented
11#15223C212yesmaximal, complemented
12#15177C212yesmaximal, complemented
13#15177C211yesmaximal, characteristic, complemented
14#15135C211yesmaximal, characteristic, complemented
15#14322C212yesmaximal, complemented
16C4×#392C211yesmaximal, characteristic
17Q8×#95C211yesmaximal, characteristic, complemented
18C22×C4⋊Q8C2211yescharacteristic
19C22×C22⋊Q8C2211yescharacteristic
20C22×C22⋊Q8C2212yes—
21C22×C22⋊Q8C2211yescharacteristic
22C22×C22⋊Q8C2212yes—
23C22×C4×Q8C2212yes—
24C22×C4×Q8C2211yescharacteristic
25C22×C4×D4C2212yes—
26C22×C4×D4C2211yescharacteristic
27#2538—28no—
28#2536—216no—
29#2429—216no—
30#2429—28no—
31C2×#399C2212yes—
32C2×#398C2214yes—
33C2×#398C2212yes—
34C2×#398C2214yes—
35C2×#396C2214yes—
36C2×#396C2214yes—
37C2×#396C2212yes—
38C2×#394C2214yes—
39C2×#392C2211yescharacteristic
40C2×#391C2211yescharacteristic
41C2×#391C2212yes—
42C2×#390C2212yes—
43C2×#389C2212yes—
44C2×#389C2214yes—
45C2×#389C2212yes—
46C2×#389C2211yescharacteristic
47C2×#389C2212yes—
48C2×#388C2214yes—
49C2×#388C2214yes—
50C2×#388C2214yes—
51C2×#388C2212yes—
52C2×#384C2211yescharacteristic
53C2×#382C2212yes—
54C2×#380C2212yes—
55C2×#380C2212yes—
56C2×#380C2212yes—
57C2×C4×C22⋊C4C2211yescharacteristic
58C2×C4×C22⋊C4C2212yes—
59#1445C2212yes—
60#1445C2214yes—
61#1445C2214yes—
62#1445C2214yes—
63#1445C2212yes—
64#1445C2212yes—
65#1444C2212yes—
66#1444C2211yescharacteristic
67#1444C2214yes—
68#1444C2212yes—
69#1439C2212yes—
70#1439C2212yes—
71#1439C2211yescharacteristic
72#1439C2214yes—
73#1439C2214yes—
74#1439C2214yes—
75#1439C2214yes—
76#1439C2214yes—
77#1438C2212yes—
78#1438C2211yescharacteristic
79#1438C2214yes—
80#1438C2212yes—
81C4⋊#95C2211yescharacteristic
82C4⋊#95C2212yes—
83C4⋊#95C2214yes—
84C4⋊#95C2212yes—
85C4×#95C2211yescharacteristic
86C4×#95C2212yes—
87C23×Q8C2311yescharacteristic
88C23×Q8C2311yescharacteristic
89C23×D4C2311yescharacteristic
90C23×D4C2312yes—
91C24×C4C2311yescharacteristic
92C24×C4C2312yes—
93C2×C4⋊Q8—24no—
94C2×C4⋊Q8—28no—
95C2×C22⋊Q8—24no—
96C2×C22⋊Q8—28no—
97C2×C22⋊Q8—28no—
98C2×C22⋊Q8—28no—
99C2×C22⋊Q8—28no—
100C2×C22⋊Q8—28no—
101C2×C22⋊Q8—24no—
102C2×C22⋊Q8—44no—
103C2×C22⋊Q8—44no—
104C2×C22⋊Q8—44no—
105C2×C4×Q8—44no—
106C2×C4×Q8—44no—
107C2×C4×Q8—44no—
108C2×C4×Q8D4116yescomplemented
109C2×C4×Q8D418yescomplemented
110C2×C4×D4—28no—
111C2×C4×D4—24no—
112C2×C4×D4—44no—
113C2×C4×D4—44no—
114C2×C4×D4—44no—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2314yes—
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2314yes—
123C22×C4⋊C4C2312yes—
124C22×C4⋊C4C2312yes—
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2312yes—
127C22×C4⋊C4C2312yes—
128C22×C4⋊C4C2312yes—
129C22×C4⋊C4C2314yes—
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2314yes—
132C22×C4⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2314yes—
138C22×C22⋊C4C2314yes—
139C22×C22⋊C4C2311yescharacteristic
140C22×C22⋊C4C2311yescharacteristic
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2312yes—
143C22×C22⋊C4C2314yes—
144C22×C22⋊C4C2314yes—
145C22×C22⋊C4C2312yes—
146C22×C22⋊C4C2312yes—
147C22×C42C2311yescharacteristic
148C22×C42C2312yes—
149C22×C42C2311yescharacteristic
150C22×C42C2314yes—
151C22×C42C2312yes—
152#399—28no—
153#398—216no—
154#398—28no—
155#398—216no—
156#396—216no—
157#396—28no—
158#396—216no—
159#394—216no—
160#392—24no—
161#391—28no—
162#391—24no—
163#390—28no—
164#389—28no—
165#389—24no—
166#389—216no—
167#389—28no—
168#389—28no—
169#388—216no—
170#388—28no—
171#388—216no—
172#388—216no—
173#384—24no—
174#382—28no—
175#380—28no—
176#380—28no—
177#380—28no—
178C4×C22⋊C4—28no—
179C4×C22⋊C4—24no—
180C2×#95C2311yescharacteristic
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2312yes—
184C2×#95C2314yes—
185C2×#95C2312yes—
186C2×#95C2311yescharacteristic
187C2×#95C2314yes—
188C2×#95C2312yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2312yes—
192C2×#95C2311yescharacteristic
193C2×#95C2311yescharacteristic
194C2×#95C2312yes—
195C2×#95C2312yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2312yes—
199C2×#95C2314yes—
200C2×#95C2314yes—
201C2×#95C2312yes—
202C25C2411yescharacteristic
203C25C2412yes—
204C22×Q8—22no—
205C22×Q8—24no—
206C22×Q8—22no—
207C22×Q8—24no—
208C22×Q8—22no—
209C22×Q8—24no—
210C22×Q8—22no—
211C22×Q8—22no—
212C22×Q8C2×D418yes—
213C22×Q8C2×D414yes—
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—24no—
217C22×D4—22no—
218C22×D4—24no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—42no—
222C22×D4—42no—
223C22×D4—42no—
224C22×D4—42no—
225C22×D4—42no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—22no—
230C23×C4—24no—
231C23×C4—22no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—22no—
237C23×C4—24no—
238C23×C4C2412yes—
239C23×C4C2414yes—
240C23×C4C2412yes—
241C23×C4C2412yes—
242C23×C4C2411yescharacteristic
243C23×C4C2414yes—
244C23×C4C2411yescharacteristic
245C23×C4C2412yes—
246C23×C4C2412yes—
247C23×C4C2412yes—
248C23×C4C2411yescharacteristic
249C23×C4C2411yescharacteristic
250C23×C4C2412yes—
251C23×C4C2411yescharacteristic
252C23×C4C2411yescharacteristic
253C4⋊Q8—416no—
254C22⋊Q8—432no—
255C22⋊Q8—416no—
256C22⋊Q8—416no—
257C22⋊Q8—432no—
258C4×Q8—432no—
259C4×Q8—416no—
260C4×D4—432no—
261C4×D4—416no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—28no—
271C2×C4⋊C4—28no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—28no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—28no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—28no—
281C2×C4⋊C4—28no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—28no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—28no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—42no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—42no—
294C2×C4⋊C4—42no—
295C2×C4⋊C4—42no—
296C2×C4⋊C4—44no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4—44no—
299C2×C4⋊C4—44no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—44no—
302C2×C4⋊C4—44no—
303C2×C4⋊C4C2×D418yes—
304C2×C4⋊C4C2×D414yes—
305C2×C4⋊C4C2×D4116yes—
306C2×C4⋊C4C2×D418yes—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—22no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—22no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—28no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—22no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—28no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—22no—
330C2×C22⋊C4—28no—
331C2×C22⋊C4—41no—
332C2×C22⋊C4—42no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—42no—
336C2×C22⋊C4—42no—
337C2×C22⋊C4—42no—
338C2×C22⋊C4—42no—
339C2×C22⋊C4—42no—
340C2×C22⋊C4—42no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4#4114yes—
347C2×C42—24no—
348C2×C42—24no—
349C2×C42—24no—
350C2×C42—22no—
351C2×C42—24no—
352C2×C42—44no—
353C2×C42—44no—
354C2×C42—44no—
355C2×C42C2×D418yes—
356C2×C42C2×D414yes—
357C2×C42C2×D4116yes—
358C2×C42C2×D418yes—
359#95—24no—
360#95—22no—
361#95—24no—
362#95—22no—
363#95—28no—
364#95—28no—
365#95—28no—
366#95—28no—
367#95—28no—
368#95—28no—
369#95—24no—
370#95—24no—
371#95—28no—
372#95—28no—
373#95—24no—
374#95—22no—
375#95—24no—
376#95—22no—
377#95—44no—
378#95—42no—
379#95—42no—
380#95—44no—
381C24—21no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—21no—
391C24—22no—
392C24—21no—
393C24—22no—
394C24—21no—
395C24—21no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—21no—
405C24C2×#4112yes—
406C242−1+414yes—
407C24C2511yescharacteristic
408C2×Q8—216no—
409C2×Q8—28no—
410C2×Q8—28no—
411C2×Q8—216no—
412C2×Q8—44no—
413C2×Q8—48no—
414C2×Q8—44no—
415C2×Q8—44no—
416C2×Q8—48no—
417C2×Q8#127116yes—
418C2×D4—28no—
419C2×D4—48no—
420C2×D4—48no—
421C2×D4—48no—
422C2×D4—48no—
423C2×D4—44no—
424C2×D4—48no—
425C2×D4—48no—
426C2×D4—48no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—44no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—24no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—21no—
439C22×C4—24no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—24no—
447C22×C4—24no—
448C22×C4—24no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—21no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—24no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—24no—
498C22×C4—48no—
499C22×C4—44no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—44no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—44no—
509C22×C4—48no—
510C22×C4C22×D414yes—
511C22×C4C22×D414yes—
512C22×C4C22×D412yes—
513C22×C4C22×D418yes—
514C22×C4C22×D414yes—
515C22×C4C22×D414yes—
516C22×C4C22×D418yes—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D414yes—
520C22×C4C2×#4112yes—
521C22×C4C2×#4112yes—
522C22×C4H(5,𝔽2)12yes—
523C22×C4H(5,𝔽2)14yes—
524C22×C42−1+412yes—
525C22×C42−1+412yes—
526C22×C42−1+412yes—
527C4⋊C4—216no—
528C4⋊C4—28no—
529C4⋊C4—48no—
530C4⋊C4—416no—
531C4⋊C4—416no—
532C4⋊C4—48no—
533C4⋊C4—44no—
534C4⋊C4—48no—
535C4⋊C4—416no—
536C4⋊C4—48no—
537C4⋊C4—44no—
538C4⋊C4—48no—
539C4⋊C4—48no—
540C4⋊C4—416no—
541C4⋊C4—48no—
542C4⋊C4—48no—
543C4⋊C4—48no—
544C4⋊C4—84no—
545C22⋊C4—216no—
546C22⋊C4—28no—
547C22⋊C4—48no—
548C22⋊C4—44no—
549C22⋊C4—416no—
550C22⋊C4—416no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C22⋊C4—416no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—416no—
558C22⋊C4—88no—
559C42—28no—
560C42—216no—
561C42—48no—
562C42—416no—
563C42—44no—
564C23—22no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—22no—
570C23—22no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—42no—
577C23—41no—
578C23—42no—
579C23—41no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—41no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—41no—
594C23—41no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—41no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—41no—
618C23—41no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23C23×D411yescharacteristic
623C23C23×D412yes—
624C23C22×#4111yescharacteristic
625C23C2×H(5,𝔽2)11yescharacteristic
626C23C2×H(5,𝔽2)12yes—
627C23C2×2−1+411yescharacteristic
628C23C2×2−1+411yescharacteristic
629C23C2×2−1+411yescharacteristic
630C23C2×2−1+412yes—
631C23#58512yes—
632C23#58511yescharacteristic
633Q8—232no—
634Q8—88no—
635D4—416no—
636D4—432no—
637C2×C4—22no—
638C2×C4—28no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—28no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—28no—
649C2×C4—24no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—28no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—28no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—22no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—44no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—41no—
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—41no—
698C2×C4—42no—
699C2×C4—41no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—42no—
710C2×C4—44no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—88no—
716C2×C4—816no—
717C2×C4C2×#12718yes—
718C2×C4C2×#12714yes—
719C2×C4#53418yes—
720C2×C4#53414yes—
721C2×C4#53714yes—
722C2×C4#53718yes—
723C2×C4#54814yes—
724C22—44no—
725C22—44no—
726C22—42no—
727C22—44no—
728C22—44no—
729C22—42no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—44no—
734C22—44no—
735C22—42no—
736C22—82no—
737C22—81no—
738C22—82no—
739C22—82no—
740C22—81no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—81no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—81no—
749C22—82no—
750C22C22×#12711yescharacteristic
751C22C2×#53412yes—
752C22C2×#53411yescharacteristic
753C22C2×#53711yescharacteristic
754C22C2×#53712yes—
755C22C2×#54811yescharacteristic
756C22D4×#4112yes—
757C22#348612yes—
758C22#348611yescharacteristic
759C22#348911yescharacteristic
760C22#348912yes—
761C22#349712yes—
762C22#350011yescharacteristic
763C22#350611yescharacteristic
764C22#350911yescharacteristic
765C22#352012yes—
766C22#353812yes—
767C22#353912yes—
768C22#354112yes—
769C22#354712yes—
770C22#355011yescharacteristic
771C22#355511yescharacteristic
772C22#356312yes—
773C4—28no—
774C4—24no—
775C4—44no—
776C4—42no—
777C4—42no—
778C4—48no—
779C4—44no—
780C4—42no—
781C4—44no—
782C4—81no—
783C4—82no—
784C4—82no—
785C4—82no—
786C4—84no—
787C4#265618yes—
788C2—84no—
789C2—82no—
790C2C2×#265611yescharacteristic
791C2#3592711yescharacteristic
792C2#3646511yescharacteristic
793C2#3912111yescharacteristic
794C2#3972711yescharacteristic
795C2#3987812yes—
796C2#3988412yes—
797C2#4278612yes—
798C2#4279011yescharacteristic
799C2#4280312yes—
800C2#4299211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#392C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2538C2semidirect
2. C2×#2536C2semidirect
3. C2×#2429C2semidirect
4. C2×#2429C2semidirect
5. #17075C2semidirect
6. #17015C2semidirect
7. #16984C2semidirect
9. #15250C2semidirect
10. #15240C2semidirect
11. #15223C2semidirect
12. #15177C2semidirect
13. #15177C2semidirect
14. #15135C2semidirect
15. #14322C2semidirect
17. Q8×#95C2semidirect
108. C2×C4×Q8D4semidirect
109. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25382
C2×#25362
C2×#24292
#170752
#170152
#169842
#168012
#152502
#152402
#152232
#151772
#151352
#143222
C4×#3922
Q8×#952