Finite Group Databasebeta

← #364886

Subgroups — #364886

Order 512.

2180 conjugacy classes of subgroups.

The subgroup lattice has 804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C8×D4C211yesmaximal, characteristic, complemented
2C2×#2392C211yesmaximal, characteristic
3C2×#1955C211yesmaximal, characteristic, complemented
4C2×#1869C212yesmaximal, complemented
5C2×#1798C211yesmaximal, characteristic, complemented
6C2×#1750C211yesmaximal, characteristic, complemented
7#11147C212yesmaximal, complemented
8#10964C212yesmaximal, complemented
9#10835C211yesmaximal, characteristic, complemented
10#10834C211yesmaximal, characteristic, complemented
11#10714C212yesmaximal, complemented
12C24×C8C2212yes—
13C22×C4×D4C2212yes—
14C22×C4×D4C2211yescharacteristic
15C22×#117C2211yescharacteristic
16C2×C8×D4—24no—
17C2×C8×D4—24no—
18C2×C8×D4—24no—
19C22×C4⋊C8C2211yescharacteristic
20C22×C4⋊C8C2211yescharacteristic
21C22×C22⋊C8C2212yes—
22C22×C22⋊C8C2211yescharacteristic
23C22×C22⋊C8C2212yes—
24C22×C22⋊C8C2212yes—
25C22×C22⋊C8C2212yes—
26C22×C22⋊C8C2211yescharacteristic
27C22×#97C2211yescharacteristic
28C22×C4×C8C2211yescharacteristic
29#2392—24no—
30#2392—24no—
31C2×#398C411yescharacteristic
32C2×#397C411yescharacteristic
33C2×#396C412yes—
34C2×#394C412yes—
35C2×#394C411yescharacteristic
36C2×#392C411yescharacteristic
37C2×C4×C4⋊C4C2211yescharacteristic
38C2×C4×C22⋊C4C2212yes—
39#1955—24no—
40#1869—28no—
41#1798—24no—
42#1750—24no—
43C2×#336C2212yes—
44C2×#336C2212yes—
45C2×#336C2211yescharacteristic
46C2×#336C2212yes—
47C2×#336C2211yescharacteristic
48C2×#336C2212yes—
49C2×#336C2212yes—
50C23×D4C2×C411yescharacteristic
51C23×D4C2×C412yes—
52C24×C4C2312yes—
53C24×C4C2311yescharacteristic
54C23×C8—24no—
55C23×C8—24no—
56C23×C8—24no—
57C23×C8—24no—
58C23×C8—24no—
59C23×C8—42no—
60C23×C8—42no—
61C23×C8C2312yes—
62C23×C8C2311yescharacteristic
63C23×C8C2311yescharacteristic
64C23×C8C2312yes—
65C23×C8C2311yescharacteristic
66C23×C8C2311yescharacteristic
67C2×C4×D4—24no—
68C2×C4×D4—24no—
69C2×C4×D4—24no—
70C2×C4×D4—24no—
71C2×C4×D4—22no—
72C2×C4×D4—22no—
73C2×C4×D4—22no—
74C2×C4×D4—22no—
75C2×C4×D4—42no—
76C2×C4×D4—42no—
77C2×C4×D4D414yes—
78C2×C4×D4D414yes—
79C2×#117—22no—
80C2×#117—22no—
81C2×#117—22no—
82C2×#117—22no—
83C2×#117—22no—
84C2×#117—22no—
85C22×C4⋊C4C2×C411yescharacteristic
86C22×C4⋊C4C2×C411yescharacteristic
87C22×C4⋊C4C2×C412yes—
88C22×C4⋊C4C2×C412yes—
89C22×C4⋊C4C2×C411yescharacteristic
90C22×C22⋊C4C2×C411yescharacteristic
91C22×C22⋊C4C2×C411yescharacteristic
92C22×C22⋊C4C2×C412yes—
93C22×C22⋊C4C2×C412yes—
94C22×C22⋊C4C2×C412yes—
95C22×C22⋊C4C2×C412yes—
96C22×C22⋊C4C2×C412yes—
97C22×C42C2311yescharacteristic
98C22×C42C2312yes—
99C22×C42C2311yescharacteristic
100C8×D4—232no—
101C2×C4⋊C8—22no—
102C2×C4⋊C8—22no—
103C2×C4⋊C8—22no—
104C2×C4⋊C8—22no—
105C2×C4⋊C8—22no—
106C2×C4⋊C8D414yescomplemented
107C2×C22⋊C8—24no—
108C2×C22⋊C8—22no—
109C2×C22⋊C8—24no—
110C2×C22⋊C8—24no—
111C2×C22⋊C8—22no—
112C2×C22⋊C8—22no—
113C2×C22⋊C8—22no—
114C2×C22⋊C8—22no—
115C2×C22⋊C8—24no—
116C2×C22⋊C8—24no—
117C2×C22⋊C8—24no—
118C2×C22⋊C8—24no—
119C2×C22⋊C8—24no—
120C2×C22⋊C8—24no—
121C2×C22⋊C8—42no—
122C2×C22⋊C8—42no—
123C2×C22⋊C8—42no—
124C2×C22⋊C8D414yescomplemented
125C2×#97—22no—
126C2×#97—22no—
127C2×#97—22no—
128C2×C4×C8—22no—
129C2×C4×C8—22no—
130C2×C4×C8D414yescomplemented
131#398—24no—
132#397—24no—
133#396—28no—
134#394—24no—
135#394—28no—
136#392—24no—
137C4×C4⋊C4—22no—
138C4×C4⋊C4—22no—
139C4×C22⋊C4—24no—
140C4×C22⋊C4—24no—
141C2×#95C2×C411yescharacteristic
142C2×#95C2×C411yescharacteristic
143C2×#95C2×C412yes—
144C2×#95C2×C412yes—
145#336—24no—
146#336—24no—
147#336—24no—
148#336—22no—
149#336—22no—
150#336—42no—
151#336—42no—
152C25C22×C411yescharacteristic
153C25C22×C412yes—
154C22×D4—24no—
155C22×D4—24no—
156C22×D4—24no—
157C22×D4—24no—
158C22×D4—24no—
159C22×D4—24no—
160C22×D4—22no—
161C22×D4—22no—
162C22×D4—24no—
163C22×D4—42no—
164C22×D4—42no—
165C22×D4C22⋊C414yes—
166C23×C4—21no—
167C23×C4—21no—
168C23×C4—21no—
169C23×C4—21no—
170C23×C4—22no—
171C23×C4—22no—
172C23×C4—22no—
173C23×C4—21no—
174C23×C4—21no—
175C23×C4—22no—
176C23×C4—22no—
177C23×C4—22no—
178C23×C4—22no—
179C23×C4—21no—
180C23×C4—21no—
181C23×C4—22no—
182C23×C4—21no—
183C23×C4—21no—
184C23×C4—22no—
185C23×C4—22no—
186C23×C4—22no—
187C23×C4—21no—
188C23×C4—22no—
189C23×C4—21no—
190C23×C4C22×C412yes—
191C23×C4C22×C411yescharacteristic
192C23×C4C22×C411yescharacteristic
193C23×C4C22×C412yes—
194C23×C4C22×C411yescharacteristic
195C23×C4C22×C412yes—
196C23×C4C22×C411yescharacteristic
197C23×C4C22×C411yescharacteristic
198C23×C4C2×D414yes—
199C23×C4C2×D414yes—
200C23×C4C2×D412yes—
201C23×C4#4112yes—
202C23×C4C2411yescharacteristic
203C22×C8—21no—
204C22×C8—21no—
205C22×C8—21no—
206C22×C8—21no—
207C22×C8—216no—
208C22×C8—22no—
209C22×C8—22no—
210C22×C8—22no—
211C22×C8—21no—
212C22×C8—21no—
213C22×C8—21no—
214C22×C8—21no—
215C22×C8—21no—
216C22×C8—21no—
217C22×C8—22no—
218C22×C8—21no—
219C22×C8—21no—
220C22×C8—21no—
221C22×C8—21no—
222C22×C8—21no—
223C22×C8—21no—
224C22×C8—22no—
225C22×C8—22no—
226C22×C8—21no—
227C22×C8—21no—
228C22×C8—21no—
229C22×C8—21no—
230C22×C8—21no—
231C22×C8—21no—
232C22×C8—22no—
233C22×C8—22no—
234C22×C8—22no—
235C22×C8—22no—
236C22×C8—22no—
237C22×C8—22no—
238C22×C8—22no—
239C22×C8—48no—
240C22×C8—48no—
241C22×C8—48no—
242C22×C8—48no—
243C22×C8—48no—
244C22×C8—48no—
245C22×C8C2×D414yes—
246C22×C8C2×D412yes—
247C22×C8C2×D412yes—
248C22×C8C2×D412yes—
249C22×C8C2×D412yes—
250C22×C8#4112yes—
251C22×C8#4112yes—
252C4×D4—28no—
253C4×D4—28no—
254C4×D4—28no—
255C4×D4—28no—
256C4×D4—48no—
257C4×D4—48no—
258C4×D4—48no—
259C4×D4—48no—
260#117—44no—
261#117—44no—
262#117—44no—
263#117—44no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—22no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—42no—
277C2×C4⋊C4—42no—
278C2×C4⋊C4C22⋊C414yes—
279C2×C22⋊C4—24no—
280C2×C22⋊C4—24no—
281C2×C22⋊C4—24no—
282C2×C22⋊C4—24no—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—22no—
288C2×C22⋊C4—22no—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—22no—
291C2×C22⋊C4—22no—
292C2×C22⋊C4—22no—
293C2×C22⋊C4—22no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—42no—
297C2×C22⋊C4—42no—
298C2×C22⋊C4—42no—
299C2×C22⋊C4C22⋊C418yes—
300C2×C42—21no—
301C2×C42—21no—
302C2×C42—21no—
303C2×C42—21no—
304C2×C42—22no—
305C2×C42—22no—
306C2×C42—22no—
307C2×C42—21no—
308C2×C42—21no—
309C2×C42—22no—
310C2×C42—22no—
311C2×C42—22no—
312C2×C42C2×D412yes—
313C2×C42C2×D412yes—
314C2×C42C2×D412yes—
315C2×C42C2×D412yes—
316C2×C42#4112yes—
317C2×C42#4112yes—
318C4⋊C8—28no—
319C4⋊C8—44no—
320C22⋊C8—28no—
321C22⋊C8—216no—
322C22⋊C8—28no—
323C22⋊C8—48no—
324C22⋊C8—48no—
325C22⋊C8—48no—
326#97—44no—
327C4×C8—28no—
328#95—24no—
329#95—24no—
330#95—22no—
331#95—22no—
332C24—22no—
333C24—22no—
334C24—22no—
335C24—22no—
336C24—22no—
337C24—22no—
338C24—22no—
339C24—22no—
340C24—22no—
341C24—22no—
342C24—22no—
343C24—22no—
344C24—21no—
345C24—21no—
346C24—21no—
347C24—21no—
348C24—21no—
349C24—21no—
350C24—22no—
351C24—22no—
352C24—22no—
353C24—22no—
354C24C2×C22⋊C414yes—
355C24C4×D412yes—
356C24#13114yes—
357C24#13114yes—
358C24C23×C411yescharacteristic
359C2×D4—216no—
360C2×D4—28no—
361C2×D4—28no—
362C2×D4—216no—
363C2×D4—216no—
364C2×D4—28no—
365C2×D4—48no—
366C2×D4—48no—
367C2×D4—48no—
368C2×D4—48no—
369C2×D4—48no—
370C2×D4—48no—
371C22×C4—22no—
372C22×C4—22no—
373C22×C4—22no—
374C22×C4—22no—
375C22×C4—22no—
376C22×C4—21no—
377C22×C4—22no—
378C22×C4—22no—
379C22×C4—22no—
380C22×C4—22no—
381C22×C4—21no—
382C22×C4—21no—
383C22×C4—22no—
384C22×C4—21no—
385C22×C4—22no—
386C22×C4—21no—
387C22×C4—22no—
388C22×C4—22no—
389C22×C4—21no—
390C22×C4—22no—
391C22×C4—22no—
392C22×C4—22no—
393C22×C4—24no—
394C22×C4—22no—
395C22×C4—24no—
396C22×C4—24no—
397C22×C4—24no—
398C22×C4—22no—
399C22×C4—22no—
400C22×C4—22no—
401C22×C4—22no—
402C22×C4—24no—
403C22×C4—22no—
404C22×C4—22no—
405C22×C4—24no—
406C22×C4—24no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—24no—
410C22×C4—24no—
411C22×C4—24no—
412C22×C4—24no—
413C22×C4—24no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—22no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—41no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—42no—
438C22×C4—41no—
439C22×C4—42no—
440C22×C4—42no—
441C22×C4—42no—
442C22×C4—42no—
443C22×C4—41no—
444C22×C4—42no—
445C22×C4—41no—
446C22×C4—42no—
447C22×C4—41no—
448C22×C4—42no—
449C22×C4—41no—
450C22×C4—42no—
451C22×C4—42no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—42no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—41no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—41no—
464C22×C4—42no—
465C22×C4—41no—
466C22×C4C2×C22⋊C414yes—
467C22×C4C2×C22⋊C412yes—
468C22×C4C2×C22⋊C412yes—
469C22×C4C4×D412yes—
470C22×C4C4×D412yes—
471C22×C4C4×D412yes—
472C22×C4C4×D412yes—
473C22×C4C4×D412yes—
474C22×C4#13114yes—
475C22×C4C22×D411yescharacteristic
476C22×C4C22×D411yescharacteristic
477C22×C4C22×D411yescharacteristic
478C22×C4C22×D411yescharacteristic
479C22×C4C22×D411yescharacteristic
480C22×C4C2×#4111yescharacteristic
481C22×C4C2×#4111yescharacteristic
482C22×C4C2×#4111yescharacteristic
483C22×C4C2×#4111yescharacteristic
484C22×C4C2×#4111yescharacteristic
485C22×C4H(5,𝔽2)11yescharacteristic
486C22×C4H(5,𝔽2)11yescharacteristic
487C22×C4H(5,𝔽2)11yescharacteristic
488C22×C42−1+411yescharacteristic
489C2×C8—22no—
490C2×C8—22no—
491C2×C8—22no—
492C2×C8—22no—
493C2×C8—22no—
494C2×C8—22no—
495C2×C8—22no—
496C2×C8—24no—
497C2×C8—22no—
498C2×C8—22no—
499C2×C8—22no—
500C2×C8—22no—
501C2×C8—22no—
502C2×C8—24no—
503C2×C8—22no—
504C2×C8—24no—
505C2×C8—22no—
506C2×C8—22no—
507C2×C8—432no—
508C2×C8—41no—
509C2×C8—41no—
510C2×C8—42no—
511C2×C8—41no—
512C2×C8—42no—
513C2×C8—41no—
514C2×C8—42no—
515C2×C8—41no—
516C2×C8—41no—
517C2×C8—42no—
518C2×C8—41no—
519C2×C8—41no—
520C2×C8—41no—
521C2×C8—41no—
522C2×C8—41no—
523C2×C8—41no—
524C2×C8—42no—
525C2×C8—42no—
526C2×C8—42no—
527C2×C8—42no—
528C2×C8—42no—
529C2×C8—42no—
530C2×C8—42no—
531C2×C8#12114yes—
532C4⋊C4—28no—
533C4⋊C4—48no—
534C4⋊C4—48no—
535C4⋊C4—44no—
536C4⋊C4—44no—
537C22⋊C4—216no—
538C22⋊C4—48no—
539C22⋊C4—48no—
540C22⋊C4—48no—
541C22⋊C4—48no—
542C22⋊C4—44no—
543C22⋊C4—44no—
544C42—41no—
545C42—41no—
546C42—41no—
547C42—41no—
548C42—42no—
549C42—42no—
550C42—42no—
551C42—42no—
552C42#12014yes—
553C42#12114yes—
554C42#12114yes—
555C42#12314yes—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—22no—
575C23—22no—
576C23—24no—
577C23—24no—
578C23—22no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—41no—
613C23#40818yes—
614C23C22×C22⋊C411yescharacteristic
615C23C2×C4×D411yescharacteristic
616C23C2×C4×D411yescharacteristic
617C23C2×C4×D411yescharacteristic
618C23C4×#4111yescharacteristic
619C23#51811yescharacteristic
620C23#52011yescharacteristic
621C23C2×#13112yes—
622C23C2×#13112yes—
623C23C2×#13112yes—
624C23#56812yes—
625D4—232no—
626D4—432no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—42no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—41no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—44no—
657C2×C4—42no—
658C2×C4—44no—
659C2×C4—42no—
660C2×C4—44no—
661C2×C4—42no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—44no—
665C2×C4—42no—
666C2×C4—44no—
667C2×C4—42no—
668C2×C4—44no—
669C2×C4—42no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4#38614yes—
690C2×C4#38614yes—
691C2×C4C2×#12011yescharacteristic
692C2×C4C2×#12111yescharacteristic
693C2×C4C2×#12111yescharacteristic
694C2×C4C2×#12111yescharacteristic
695C2×C4C2×#12311yescharacteristic
696C2×C4#52511yescharacteristic
697C2×C4#52911yescharacteristic
698C2×C4#53211yescharacteristic
699C2×C4#53511yescharacteristic
700C2×C4#53711yescharacteristic
701C2×C4#54011yescharacteristic
702C2×C4#54211yescharacteristic
703C2×C4D4211yescharacteristic
704C2×C4D4211yescharacteristic
705C2×C4D4211yescharacteristic
706C2×C4#54611yescharacteristic
707C2×C4#54611yescharacteristic
708C2×C4#54611yescharacteristic
709C2×C4#54611yescharacteristic
710C2×C4#54611yescharacteristic
711C2×C4#54711yescharacteristic
712C2×C4#54711yescharacteristic
713C2×C4#54711yescharacteristic
714C2×C4#54811yescharacteristic
715C2×C4#55011yescharacteristic
716C2×C4#55311yescharacteristic
717C2×C4#55311yescharacteristic
718C2×C4#55511yescharacteristic
719C8—24no—
720C8—42no—
721C8—44no—
722C8—42no—
723C8—42no—
724C8—82no—
725C22—28no—
726C22—28no—
727C22—28no—
728C22—44no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—44no—
734C22—44no—
735C22—44no—
736C22—44no—
737C22—44no—
738C22—44no—
739C22—44no—
740C22—44no—
741C22—42no—
742C22—44no—
743C22—42no—
744C22—42no—
745C22—82no—
746C22—81no—
747C22—81no—
748C22—81no—
749C22—81no—
750C22—82no—
751C22C2×#38611yescharacteristic
752C22C4×#12111yescharacteristic
753C22#232411yescharacteristic
754C22D4×C22⋊C411yescharacteristic
755C22#233911yescharacteristic
756C22#236111yescharacteristic
757C22#236311yescharacteristic
758C22C2×#40812yes—
759C22#288012yes—
760C22#292912yes—
761C22#292911yescharacteristic
762C22#292911yescharacteristic
763C22#292912yes—
764C22#293111yescharacteristic
765C22#293211yescharacteristic
766C22#293312yes—
767C22#293512yes—
768C22#296612yes—
769C22#296812yes—
770C22#297612yes—
771C22#297712yes—
772C22#299212yes—
773C22#299412yes—
774C4—24no—
775C4—24no—
776C4—44no—
777C4—42no—
778C4—44no—
779C4—82no—
780C4—81no—
781C4—81no—
782C4#240711yescharacteristic
783C4#240811yescharacteristic
784C4#242011yescharacteristic
785C4#242211yescharacteristic
786C4#242711yescharacteristic
787C4#242811yescharacteristic
788C4#253511yescharacteristic
789C4#253711yescharacteristic
790C2—48no—
791C2—82no—
792C2#1397011yescharacteristic
793C2#2089511yescharacteristic
794C2#2090011yescharacteristic
795C2#2149111yescharacteristic
796C2#2149211yescharacteristic
797C2#2213411yescharacteristic
798C2#2213611yescharacteristic
799C2#2239812yes—
800C2#2247012yes—
801C2#2299112yes—
802C2#2308912yes—
subgroupG/H
center, Frattini, cosocleC23×C4C24
commutator, socleC24C23×C4
prime radicalC2×#392C4
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C23×C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×C8×D4C2semidirect
3. C2×#1955C2semidirect
4. C2×#1869C2semidirect
5. C2×#1798C2semidirect
6. C2×#1750C2semidirect
7. #11147C2semidirect
8. #10964C2semidirect
9. #10835C2semidirect
10. #10834C2semidirect
11. #10714C2semidirect
106. C2×C4⋊C8D4semidirect
124. C2×C22⋊C8D4semidirect
130. C2×C4×C8D4semidirect

Maximal subgroups

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

subgroupindex
C22×C8×D42
C2×#23922
C2×#19552
C2×#18692
C2×#17982
C2×#17502
#111472
#109642
#108352
#108342
#107142