Finite Group Databasebeta

← #366967

Subgroups — #366967

Order 512.

1932 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2392C211yesmaximal, characteristic
2C2×#1955C211yesmaximal, characteristic, complemented
3C2×#1954C212yesmaximal, complemented
4C2×#1954C211yesmaximal, characteristic, complemented
5C2×#1940C211yesmaximal, characteristic, complemented
6C2×#1798C211yesmaximal, characteristic, complemented
7C2×C8×C4⋊C4C211yesmaximal, characteristic, complemented
8C2×#1750C211yesmaximal, characteristic, complemented
9#11042C212yesmaximal, complemented
10#10964C212yesmaximal, complemented
11#10921C212yesmaximal, complemented
12C22×C4×D4C2211yescharacteristic
13C22×C4×D4C2212yes—
14C22×#117C2211yescharacteristic
15C22×C4⋊C8C2211yescharacteristic
16C22×C4⋊C8C2212yes—
17C22×C4⋊C8C2211yescharacteristic
18C22×C22⋊C8C2211yescharacteristic
19C22×C22⋊C8C2212yes—
20C22×C22⋊C8C2212yes—
21C22×C22⋊C8C2212yes—
22C22×C22⋊C8C2212yes—
23C22×C22⋊C8C2211yescharacteristic
24C22×C22⋊C8C2212yes—
25C22×#97C2211yescharacteristic
26C22×C4×C8C2212yes—
27C22×C4×C8C2211yescharacteristic
28#2392—24no—
29#2392—24no—
30C2×#398C411yescharacteristic
31C2×#397C411yescharacteristic
32C2×#396C412yes—
33C2×#394C412yes—
34C2×#394C411yescharacteristic
35C2×#392C411yescharacteristic
36C2×C4×C4⋊C4C2211yescharacteristic
37C2×C4×C22⋊C4C2212yes—
38#1955—24no—
39#1954—28no—
40#1954—24no—
41#1940—24no—
42#1798—24no—
43C8×C4⋊C4—24no—
44#1750—24no—
45C2×#336C2211yescharacteristic
46C2×#336C2212yes—
47C2×#336C2212yes—
48C2×#336C2211yescharacteristic
49C2×#336C2212yes—
50C23×D4C2×C411yescharacteristic
51C23×D4C2×C412yes—
52C24×C4C2312yes—
53C24×C4C2311yescharacteristic
54C23×C8C2312yes—
55C23×C8C2312yes—
56C23×C8C2311yescharacteristic
57C23×C8C2311yescharacteristic
58C23×C8C2311yescharacteristic
59C23×C8C2311yescharacteristic
60C2×C4×D4—24no—
61C2×C4×D4—24no—
62C2×C4×D4—24no—
63C2×C4×D4—24no—
64C2×C4×D4—22no—
65C2×C4×D4—22no—
66C2×C4×D4—22no—
67C2×C4×D4—22no—
68C2×C4×D4—22no—
69C2×C4×D4—22no—
70C2×C4×D4—42no—
71C2×C4×D4—42no—
72C2×#117—22no—
73C2×#117—22no—
74C2×#117—22no—
75C2×#117—22no—
76C2×#117—22no—
77C2×#117—22no—
78C22×C4⋊C4C2×C411yescharacteristic
79C22×C4⋊C4C2×C411yescharacteristic
80C22×C4⋊C4C2×C411yescharacteristic
81C22×C4⋊C4C2×C412yes—
82C22×C4⋊C4C2×C412yes—
83C22×C22⋊C4C2×C412yes—
84C22×C22⋊C4C2×C411yescharacteristic
85C22×C22⋊C4C2×C411yescharacteristic
86C22×C22⋊C4C2×C412yes—
87C22×C22⋊C4C2×C412yes—
88C22×C22⋊C4C2×C412yes—
89C22×C22⋊C4C2×C412yes—
90C22×C42C2311yescharacteristic
91C22×C42C2312yes—
92C22×C42C2311yescharacteristic
93C2×C4⋊C8—22no—
94C2×C4⋊C8—22no—
95C2×C4⋊C8—24no—
96C2×C4⋊C8—22no—
97C2×C4⋊C8—24no—
98C2×C4⋊C8—22no—
99C2×C4⋊C8—22no—
100C2×C4⋊C8—42no—
101C2×C4⋊C8D414yescomplemented
102C2×C22⋊C8—22no—
103C2×C22⋊C8—22no—
104C2×C22⋊C8—22no—
105C2×C22⋊C8—22no—
106C2×C22⋊C8—22no—
107C2×C22⋊C8—24no—
108C2×C22⋊C8—24no—
109C2×C22⋊C8—24no—
110C2×C22⋊C8—24no—
111C2×C22⋊C8—24no—
112C2×C22⋊C8—24no—
113C2×C22⋊C8—24no—
114C2×C22⋊C8—24no—
115C2×C22⋊C8—24no—
116C2×C22⋊C8—24no—
117C2×C22⋊C8—42no—
118C2×C22⋊C8—42no—
119C2×C22⋊C8—42no—
120C2×C22⋊C8—42no—
121C2×C22⋊C8—42no—
122C2×C22⋊C8D414yescomplemented
123C2×#97—22no—
124C2×#97—22no—
125C2×#97—22no—
126C2×C4×C8—22no—
127C2×C4×C8—22no—
128C2×C4×C8—24no—
129C2×C4×C8—24no—
130C2×C4×C8—42no—
131C2×C4×C8D414yescomplemented
132#398—24no—
133#397—24no—
134#396—28no—
135#394—28no—
136#394—24no—
137#392—24no—
138C4×C4⋊C4D414yes—
139C4×C4⋊C4D414yes—
140C4×C22⋊C4—24no—
141C4×C22⋊C4—24no—
142C2×#95C2×C412yes—
143C2×#95C2×C412yes—
144C2×#95C2×C411yescharacteristic
145C2×#95C2×C411yescharacteristic
146#336—24no—
147#336—22no—
148#336—22no—
149#336—24no—
150#336—24no—
151C25C22×C411yescharacteristic
152C25C22×C412yes—
153C22×D4—24no—
154C22×D4—24no—
155C22×D4—24no—
156C22×D4—22no—
157C22×D4—24no—
158C22×D4—22no—
159C22×D4—22no—
160C22×D4—24no—
161C22×D4—24no—
162C22×D4—42no—
163C22×D4—42no—
164C22×D4—42no—
165C23×C4—21no—
166C23×C4—21no—
167C23×C4—21no—
168C23×C4—21no—
169C23×C4—21no—
170C23×C4—21no—
171C23×C4—21no—
172C23×C4—21no—
173C23×C4—21no—
174C23×C4—21no—
175C23×C4—21no—
176C23×C4—21no—
177C23×C4—22no—
178C23×C4—22no—
179C23×C4—22no—
180C23×C4—22no—
181C23×C4—22no—
182C23×C4—22no—
183C23×C4—22no—
184C23×C4—22no—
185C23×C4—22no—
186C23×C4—22no—
187C23×C4—22no—
188C23×C4—22no—
189C23×C4—22no—
190C23×C4—22no—
191C23×C4C22×C411yescharacteristic
192C23×C4C22×C411yescharacteristic
193C23×C4C22×C412yes—
194C23×C4C22×C412yes—
195C23×C4C22×C411yescharacteristic
196C23×C4C22×C411yescharacteristic
197C23×C4C22×C411yescharacteristic
198C23×C4C22×C412yes—
199C23×C4C2×D412yes—
200C23×C4#4112yes—
201C23×C4C2411yescharacteristic
202C22×C8—21no—
203C22×C8—21no—
204C22×C8—21no—
205C22×C8—21no—
206C22×C8—21no—
207C22×C8—21no—
208C22×C8—22no—
209C22×C8—21no—
210C22×C8—21no—
211C22×C8—22no—
212C22×C8—21no—
213C22×C8—21no—
214C22×C8—21no—
215C22×C8—21no—
216C22×C8—21no—
217C22×C8—21no—
218C22×C8—21no—
219C22×C8—21no—
220C22×C8—22no—
221C22×C8—22no—
222C22×C8—22no—
223C22×C8—21no—
224C22×C8—21no—
225C22×C8—21no—
226C22×C8—22no—
227C22×C8—21no—
228C22×C8—21no—
229C22×C8—21no—
230C22×C8—22no—
231C22×C8—22no—
232C22×C8—22no—
233C22×C8—22no—
234C22×C8—22no—
235C22×C8—22no—
236C22×C8—22no—
237C22×C8C2×D412yes—
238C22×C8C2×D414yes—
239C22×C8C2×D412yes—
240C22×C8C2×D412yes—
241C22×C8C2×D412yes—
242C22×C8#4112yes—
243C22×C8#4112yes—
244C4×D4—48no—
245C4×D4—48no—
246C4×D4—48no—
247C4×D4—48no—
248C4×D4—44no—
249C4×D4—44no—
250C4×D4—44no—
251C4×D4—44no—
252#117—44no—
253#117—44no—
254#117—44no—
255#117—44no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—22no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—42no—
270C2×C4⋊C4C22⋊C418yes—
271C2×C22⋊C4—24no—
272C2×C22⋊C4—24no—
273C2×C22⋊C4—22no—
274C2×C22⋊C4—22no—
275C2×C22⋊C4—24no—
276C2×C22⋊C4—24no—
277C2×C22⋊C4—24no—
278C2×C22⋊C4—24no—
279C2×C22⋊C4—24no—
280C2×C22⋊C4—22no—
281C2×C22⋊C4—22no—
282C2×C22⋊C4—22no—
283C2×C22⋊C4—22no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—24no—
289C2×C22⋊C4—42no—
290C2×C22⋊C4—42no—
291C2×C22⋊C4—42no—
292C2×C42—22no—
293C2×C42—22no—
294C2×C42—22no—
295C2×C42—22no—
296C2×C42—21no—
297C2×C42—21no—
298C2×C42—21no—
299C2×C42—21no—
300C2×C42—21no—
301C2×C42—21no—
302C2×C42C2×D414yes—
303C2×C42C2×D414yes—
304C2×C42C2×D412yes—
305C2×C42C2×D412yes—
306C2×C42C2×D412yes—
307C2×C42C2×D412yes—
308C2×C42#4112yes—
309C2×C42#4112yes—
310C4⋊C8—28no—
311C4⋊C8—48no—
312C4⋊C8—44no—
313C22⋊C8—28no—
314C22⋊C8—28no—
315C22⋊C8—48no—
316C22⋊C8—48no—
317C22⋊C8—48no—
318C22⋊C8—48no—
319C22⋊C8—48no—
320#97—44no—
321C4×C8—28no—
322C4×C8—48no—
323#95—24no—
324#95—24no—
325#95C22⋊C414yes—
326#95C22⋊C414yes—
327C24—21no—
328C24—22no—
329C24—21no—
330C24—21no—
331C24—22no—
332C24—22no—
333C24—22no—
334C24—22no—
335C24—21no—
336C24—21no—
337C24—22no—
338C24—21no—
339C24—22no—
340C24—22no—
341C24—22no—
342C24—22no—
343C24—22no—
344C24—22no—
345C24—22no—
346C24—22no—
347C24—22no—
348C24—22no—
349C24—22no—
350C24—22no—
351C24C4×D412yes—
352C24#13114yes—
353C24C23×C411yescharacteristic
354C2×D4—28no—
355C2×D4—216no—
356C2×D4—48no—
357C2×D4—48no—
358C2×D4—48no—
359C2×D4—48no—
360C2×D4—48no—
361C2×D4—48no—
362C2×D4—44no—
363C2×D4—48no—
364C2×D4—44no—
365C2×D4—48no—
366C22×C4—22no—
367C22×C4—22no—
368C22×C4—22no—
369C22×C4—22no—
370C22×C4—22no—
371C22×C4—22no—
372C22×C4—22no—
373C22×C4—22no—
374C22×C4—21no—
375C22×C4—22no—
376C22×C4—21no—
377C22×C4—21no—
378C22×C4—21no—
379C22×C4—22no—
380C22×C4—21no—
381C22×C4—21no—
382C22×C4—22no—
383C22×C4—22no—
384C22×C4—22no—
385C22×C4—22no—
386C22×C4—22no—
387C22×C4—22no—
388C22×C4—22no—
389C22×C4—22no—
390C22×C4—22no—
391C22×C4—22no—
392C22×C4—22no—
393C22×C4—22no—
394C22×C4—22no—
395C22×C4—22no—
396C22×C4—22no—
397C22×C4—22no—
398C22×C4—21no—
399C22×C4—21no—
400C22×C4—22no—
401C22×C4—21no—
402C22×C4—21no—
403C22×C4—21no—
404C22×C4—21no—
405C22×C4—22no—
406C22×C4—22no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—41no—
416C22×C4—41no—
417C22×C4—41no—
418C22×C4—41no—
419C22×C4—41no—
420C22×C4—41no—
421C22×C4—41no—
422C22×C4—41no—
423C22×C4—41no—
424C22×C4—41no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—41no—
428C22×C4—41no—
429C22×C4—41no—
430C22×C4—41no—
431C22×C4—42no—
432C22×C4—42no—
433C22×C4—42no—
434C22×C4—42no—
435C22×C4—42no—
436C22×C4—42no—
437C22×C4—42no—
438C22×C4—42no—
439C22×C4—42no—
440C22×C4—42no—
441C22×C4—42no—
442C22×C4—42no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—42no—
446C22×C4—42no—
447C22×C4—42no—
448C22×C4—42no—
449C22×C4—42no—
450C22×C4—42no—
451C22×C4—42no—
452C22×C4—42no—
453C22×C4—42no—
454C22×C4—42no—
455C22×C4—42no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4—42no—
459C22×C4C2×C22⋊C414yes—
460C22×C4C2×C22⋊C412yes—
461C22×C4C2×C22⋊C412yes—
462C22×C4C2×C22⋊C414yes—
463C22×C4C4×D412yes—
464C22×C4C4×D412yes—
465C22×C4C4×D412yes—
466C22×C4C4×D412yes—
467C22×C4C4×D412yes—
468C22×C4#13114yes—
469C22×C4#13114yes—
470C22×C4C22×D411yescharacteristic
471C22×C4C22×D411yescharacteristic
472C22×C4C22×D411yescharacteristic
473C22×C4C22×D411yescharacteristic
474C22×C4C22×D411yescharacteristic
475C22×C4C2×#4111yescharacteristic
476C22×C4C2×#4111yescharacteristic
477C22×C4C2×#4111yescharacteristic
478C22×C4C2×#4111yescharacteristic
479C22×C4C2×#4111yescharacteristic
480C22×C4H(5,𝔽2)11yescharacteristic
481C22×C4H(5,𝔽2)11yescharacteristic
482C22×C4H(5,𝔽2)11yescharacteristic
483C22×C42−1+411yescharacteristic
484C2×C8—22no—
485C2×C8—22no—
486C2×C8—22no—
487C2×C8—22no—
488C2×C8—22no—
489C2×C8—22no—
490C2×C8—22no—
491C2×C8—22no—
492C2×C8—24no—
493C2×C8—22no—
494C2×C8—22no—
495C2×C8—22no—
496C2×C8—24no—
497C2×C8—22no—
498C2×C8—22no—
499C2×C8—22no—
500C2×C8—24no—
501C2×C8—22no—
502C2×C8—41no—
503C2×C8—41no—
504C2×C8—42no—
505C2×C8—41no—
506C2×C8—41no—
507C2×C8—42no—
508C2×C8—42no—
509C2×C8—41no—
510C2×C8—41no—
511C2×C8—41no—
512C2×C8—41no—
513C2×C8—42no—
514C2×C8—41no—
515C2×C8—41no—
516C2×C8—41no—
517C2×C8—41no—
518C2×C8—42no—
519C2×C8—42no—
520C2×C8—42no—
521C2×C8—42no—
522C2×C8—42no—
523C2×C8—42no—
524C2×C8—42no—
525C2×C8#12114yes—
526C4⋊C4—216no—
527C4⋊C4—48no—
528C4⋊C4—44no—
529C4⋊C4—44no—
530C4⋊C4—44no—
531C22⋊C4—48no—
532C22⋊C4—48no—
533C22⋊C4—48no—
534C22⋊C4—44no—
535C22⋊C4—44no—
536C22⋊C4—48no—
537C22⋊C4—48no—
538C42—24no—
539C42—24no—
540C42—24no—
541C42—24no—
542C42—41no—
543C42—41no—
544C42—41no—
545C42—41no—
546C42#12114yes—
547C42#12114yes—
548C42#12414yes—
549C42#12714yes—
550C23—22no—
551C23—22no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—22no—
562C23—42no—
563C23—41no—
564C23—42no—
565C23—42no—
566C23—41no—
567C23—42no—
568C23—42no—
569C23—41no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—41no—
576C23—42no—
577C23—42no—
578C23—41no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—41no—
584C23—42no—
585C23—41no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—41no—
606C23—42no—
607C23—42no—
608C23C22×C22⋊C411yescharacteristic
609C23C2×C4×D411yescharacteristic
610C23C2×C4×D411yescharacteristic
611C23C2×C4×D411yescharacteristic
612C23C4×#4111yescharacteristic
613C23#51811yescharacteristic
614C23#52011yescharacteristic
615C23C2×#13112yes—
616C23C2×#13112yes—
617C23C2×#13112yes—
618C23#56812yes—
619D4—432no—
620D4—416no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—42no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—82no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4—82no—
678C2×C4—82no—
679C2×C4—82no—
680C2×C4—82no—
681C2×C4—82no—
682C2×C4#39014yes—
683C2×C4#39014yes—
684C2×C4#40818yes—
685C2×C4C2×#12111yescharacteristic
686C2×C4C2×#12111yescharacteristic
687C2×C4C2×#12111yescharacteristic
688C2×C4#52511yescharacteristic
689C2×C4C2×#12411yescharacteristic
690C2×C4#52911yescharacteristic
691C2×C4C2×#12711yescharacteristic
692C2×C4#53211yescharacteristic
693C2×C4#53511yescharacteristic
694C2×C4#53711yescharacteristic
695C2×C4#54011yescharacteristic
696C2×C4#54211yescharacteristic
697C2×C4D4211yescharacteristic
698C2×C4D4211yescharacteristic
699C2×C4D4211yescharacteristic
700C2×C4#54611yescharacteristic
701C2×C4#54611yescharacteristic
702C2×C4#54611yescharacteristic
703C2×C4#54711yescharacteristic
704C2×C4#54811yescharacteristic
705C2×C4#54811yescharacteristic
706C2×C4#54811yescharacteristic
707C2×C4#55011yescharacteristic
708C2×C4#55011yescharacteristic
709C2×C4#55011yescharacteristic
710C2×C4#55311yescharacteristic
711C2×C4#55311yescharacteristic
712C2×C4#55511yescharacteristic
713C8—24no—
714C8—42no—
715C8—44no—
716C8—42no—
717C8—42no—
718C8—82no—
719C22—44no—
720C22—44no—
721C22—44no—
722C22—44no—
723C22—44no—
724C22—42no—
725C22—44no—
726C22—44no—
727C22—44no—
728C22—42no—
729C22—44no—
730C22—42no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—81no—
736C22—82no—
737C22—81no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—81no—
742C22—81no—
743C22—82no—
744C22—82no—
745C22C2×#39011yescharacteristic
746C22C4×#12111yescharacteristic
747C22#232411yescharacteristic
748C22D4×C22⋊C411yescharacteristic
749C22#234111yescharacteristic
750C22#236111yescharacteristic
751C22#236311yescharacteristic
752C22C2×#40812yes—
753C22#288012yes—
754C22#292911yescharacteristic
755C22#292912yes—
756C22#293011yescharacteristic
757C22#293112yes—
758C22#293111yescharacteristic
759C22#293111yescharacteristic
760C22#293312yes—
761C22#293312yes—
762C22#296612yes—
763C22#296912yes—
764C22#297612yes—
765C22#297712yes—
766C22#299312yes—
767C22#299412yes—
768C4—28no—
769C4—24no—
770C4—24no—
771C4—44no—
772C4—42no—
773C4—82no—
774C4—81no—
775C4—81no—
776C4#241411yescharacteristic
777C4#241611yescharacteristic
778C4#242611yescharacteristic
779C4#242811yescharacteristic
780C4#249011yescharacteristic
781C4#249111yescharacteristic
782C4#254011yescharacteristic
783C4#254111yescharacteristic
784C2—84no—
785C2—82no—
786C2#1399811yescharacteristic
787C2#2118711yescharacteristic
788C2#2119111yescharacteristic
789C2#2149111yescharacteristic
790C2#2149411yescharacteristic
791C2#2213411yescharacteristic
792C2#2213811yescharacteristic
793C2#2239812yes—
794C2#2253112yes—
795C2#2299212yes—
796C2#2309012yes—
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
2. C2×#1955C2semidirect
3. C2×#1954C2semidirect
4. C2×#1954C2semidirect
5. C2×#1940C2semidirect
6. C2×#1798C2semidirect
7. C2×C8×C4⋊C4C2semidirect
8. C2×#1750C2semidirect
9. #11042C2semidirect
10. #10964C2semidirect
11. #10921C2semidirect
101. C2×C4⋊C8D4semidirect
122. C2×C22⋊C8D4semidirect
131. C2×C4×C8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#23922
C2×#19552
C2×#19542
C2×#19402
C2×#17982
C2×C8×C4⋊C42
C2×#17502
#110422
#109642
#109212