Finite Group Databasebeta

← #379922

Subgroups — #379922

Order 512.

1884 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
1C22×#433C211yesmaximal, characteristic, complemented
2C2×#2392C211yesmaximal, characteristic
3C2×#1955C211yesmaximal, characteristic, complemented
4C2×#1954C211yesmaximal, characteristic, complemented
5C2×#1798C211yesmaximal, characteristic, complemented
6#11042C212yesmaximal, complemented
7#11042C212yesmaximal, complemented
8#10964C212yesmaximal, complemented
9#10964C212yesmaximal, complemented
10#10835C211yesmaximal, characteristic, complemented
11#10834C211yesmaximal, characteristic, complemented
12C22×C4×D4C2211yescharacteristic
13C22×C4×D4C2212yes—
14C22×#117C2211yescharacteristic
15C2×#433—24no—
16C2×#433—24no—
17C2×#433—24no—
18C22×C4⋊C8C2211yescharacteristic
19C22×C4⋊C8C2211yescharacteristic
20C22×C4⋊C8C2211yescharacteristic
21C22×C4⋊C8C2211yescharacteristic
22C22×C22⋊C8C2211yescharacteristic
23C22×C22⋊C8C2211yescharacteristic
24C22×C22⋊C8C2212yes—
25C22×C22⋊C8C2212yes—
26C22×C22⋊C8C2212yes—
27C22×C22⋊C8C2212yes—
28C22×C22⋊C8C2212yes—
29C22×#97C2211yescharacteristic
30C22×C4×C8C2211yescharacteristic
31#2392—24no—
32#2392—24no—
33C2×#398C411yescharacteristic
34C2×#397C411yescharacteristic
35C2×#396C412yes—
36C2×#394C412yes—
37C2×#394C411yescharacteristic
38C2×#392C411yescharacteristic
39C2×C4×C4⋊C4C2211yescharacteristic
40C2×C4×C22⋊C4C2212yes—
41#1955—24no—
42#1954—24no—
43#1798—24no—
44C2×#336C2212yes—
45C2×#336C2212yes—
46C2×#336C2212yes—
47C2×#336C2212yes—
48C2×#336C2212yes—
49C23×D4C2×C411yescharacteristic
50C23×D4C2×C412yes—
51C24×C4C2312yes—
52C24×C4C2311yescharacteristic
53C23×C8C2312yes—
54C23×C8C2312yes—
55C23×C8C2311yescharacteristic
56C23×C8C2311yescharacteristic
57C23×C8C2311yescharacteristic
58C23×C8C2311yescharacteristic
59C2×C4×D4—24no—
60C2×C4×D4—24no—
61C2×C4×D4—22no—
62C2×C4×D4—22no—
63C2×C4×D4—22no—
64C2×C4×D4—22no—
65C2×C4×D4—22no—
66C2×C4×D4—22no—
67C2×C4×D4—42no—
68C2×C4×D4—42no—
69C2×C4×D4—42no—
70C2×C4×D4—42no—
71C2×#117—22no—
72C2×#117—22no—
73C2×#117—22no—
74C2×#117—22no—
75C2×#117D414yes—
76C2×#117D414yes—
77C22×C4⋊C4C2×C411yescharacteristic
78C22×C4⋊C4C2×C412yes—
79C22×C4⋊C4C2×C411yescharacteristic
80C22×C4⋊C4C2×C411yescharacteristic
81C22×C4⋊C4C2×C412yes—
82C22×C22⋊C4C2×C412yes—
83C22×C22⋊C4C2×C412yes—
84C22×C22⋊C4C2×C412yes—
85C22×C22⋊C4C2×C411yescharacteristic
86C22×C22⋊C4C2×C411yescharacteristic
87C22×C22⋊C4C2×C412yes—
88C22×C22⋊C4C2×C412yes—
89C22×C42C2312yes—
90C22×C42C2311yescharacteristic
91C22×C42C2311yescharacteristic
92#433—232no—
93C2×C4⋊C8—22no—
94C2×C4⋊C8—22no—
95C2×C4⋊C8—22no—
96C2×C4⋊C8—22no—
97C2×C4⋊C8—22no—
98C2×C4⋊C8—22no—
99C2×C4⋊C8—22no—
100C2×C4⋊C8—22no—
101C2×C4⋊C8—22no—
102C2×C4⋊C8—22no—
103C2×C4⋊C8—22no—
104C2×C4⋊C8—22no—
105C2×C22⋊C8—22no—
106C2×C22⋊C8—22no—
107C2×C22⋊C8—22no—
108C2×C22⋊C8—22no—
109C2×C22⋊C8—22no—
110C2×C22⋊C8—22no—
111C2×C22⋊C8—24no—
112C2×C22⋊C8—24no—
113C2×C22⋊C8—24no—
114C2×C22⋊C8—24no—
115C2×C22⋊C8—24no—
116C2×C22⋊C8—42no—
117C2×C22⋊C8—42no—
118C2×C22⋊C8—42no—
119C2×C22⋊C8—42no—
120C2×C22⋊C8—42no—
121C2×C22⋊C8—42no—
122C2×C22⋊C8—42no—
123C2×C22⋊C8—42no—
124C2×C22⋊C8—42no—
125C2×C22⋊C8—42no—
126C2×#97—22no—
127C2×#97—22no—
128C2×#97D414yescomplemented
129C2×C4×C8—22no—
130C2×C4×C8—22no—
131C2×C4×C8D414yescomplemented
132#398—24no—
133#397—24no—
134#396—28no—
135#394—24no—
136#394—28no—
137#392—24no—
138C4×C4⋊C4—22no—
139C4×C4⋊C4—22no—
140C4×C22⋊C4—24no—
141C4×C22⋊C4—24no—
142C2×#95C2×C411yescharacteristic
143C2×#95C2×C411yescharacteristic
144C2×#95C2×C412yes—
145C2×#95C2×C412yes—
146#336—24no—
147#336—42no—
148#336—42no—
149#336—42no—
150#336—42no—
151C25C22×C411yescharacteristic
152C25C22×C412yes—
153C22×D4—24no—
154C22×D4—24no—
155C22×D4—24no—
156C22×D4—22no—
157C22×D4—22no—
158C22×D4—22no—
159C22×D4—24no—
160C22×D4—42no—
161C22×D4—42no—
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×C412yes—
192C23×C4C22×C412yes—
193C23×C4C22×C411yescharacteristic
194C23×C4C22×C411yescharacteristic
195C23×C4C22×C411yescharacteristic
196C23×C4C22×C412yes—
197C23×C4C22×C411yescharacteristic
198C23×C4C22×C411yescharacteristic
199C23×C4C2×D412yes—
200C23×C4C2×D412yes—
201C23×C4C2411yescharacteristic
202C22×C8—21no—
203C22×C8—21no—
204C22×C8—21no—
205C22×C8—21no—
206C22×C8—21no—
207C22×C8—21no—
208C22×C8—21no—
209C22×C8—21no—
210C22×C8—21no—
211C22×C8—21no—
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—21no—
221C22×C8—21no—
222C22×C8—21no—
223C22×C8—21no—
224C22×C8—21no—
225C22×C8—21no—
226C22×C8—22no—
227C22×C8—22no—
228C22×C8—22no—
229C22×C8—22no—
230C22×C8—22no—
231C22×C8—22no—
232C22×C8—22no—
233C22×C8—22no—
234C22×C8—22no—
235C22×C8—22no—
236C22×C8—22no—
237C22×C8—22no—
238C22×C8—22no—
239C22×C8—22no—
240C22×C8C2×D412yes—
241C22×C8C2×D412yes—
242C22×C8C2×D412yes—
243C22×C8C2×D412yes—
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—28no—
253#117—28no—
254#117—28no—
255#117—28no—
256C2×C4⋊C4—22no—
257C2×C4⋊C4—22no—
258C2×C4⋊C4—22no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—42no—
267C2×C4⋊C4—42no—
268C2×C4⋊C4—42no—
269C2×C4⋊C4C22⋊C414yes—
270C2×C4⋊C4C22⋊C414yes—
271C2×C22⋊C4—22no—
272C2×C22⋊C4—22no—
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—24no—
281C2×C22⋊C4—24no—
282C2×C22⋊C4—24no—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—42no—
285C2×C22⋊C4—42no—
286C2×C22⋊C4—42no—
287C2×C22⋊C4—42no—
288C2×C22⋊C4—42no—
289C2×C22⋊C4—42no—
290C2×C22⋊C4C22⋊C414yes—
291C2×C22⋊C4C22⋊C414yes—
292C2×C42—21no—
293C2×C42—21no—
294C2×C42—21no—
295C2×C42—21no—
296C2×C42—22no—
297C2×C42—22no—
298C2×C42—22no—
299C2×C42—22no—
300C2×C42—22no—
301C2×C42—22no—
302C2×C42C2×D412yes—
303C2×C42C2×D412yes—
304C2×C42C2×D412yes—
305C2×C42C2×D412yes—
306C2×C42C2×D412yes—
307C2×C42C2×D412yes—
308C2×C42#4112yes—
309C2×C42#4112yes—
310C4⋊C8—28no—
311C4⋊C8—28no—
312C4⋊C8—44no—
313C4⋊C8—44no—
314C22⋊C8—28no—
315C22⋊C8—28no—
316C22⋊C8—48no—
317C22⋊C8—48no—
318C22⋊C8—48no—
319C22⋊C8—48no—
320C22⋊C8—48no—
321#97—28no—
322C4×C8—28no—
323#95—24no—
324#95—24no—
325#95—22no—
326#95—22no—
327C24—22no—
328C24—21no—
329C24—21no—
330C24—22no—
331C24—22no—
332C24—21no—
333C24—21no—
334C24—22no—
335C24—22no—
336C24—21no—
337C24—21no—
338C24—22no—
339C24—22no—
340C24—22no—
341C24—22no—
342C24—22no—
343C24—22no—
344C24—22no—
345C24—22no—
346C24—22no—
347C24—22no—
348C24—22no—
349C24—22no—
350C24—22no—
351C24C2×C22⋊C412yes—
352C24#13114yes—
353C24C23×C411yescharacteristic
354C2×D4—28no—
355C2×D4—48no—
356C2×D4—48no—
357C2×D4—48no—
358C2×D4—48no—
359C2×D4—44no—
360C2×D4—48no—
361C2×D4—48no—
362C2×D4—48no—
363C2×D4—48no—
364C2×D4—48no—
365C2×D4—44no—
366C22×C4—22no—
367C22×C4—22no—
368C22×C4—22no—
369C22×C4—22no—
370C22×C4—22no—
371C22×C4—21no—
372C22×C4—21no—
373C22×C4—21no—
374C22×C4—21no—
375C22×C4—21no—
376C22×C4—21no—
377C22×C4—22no—
378C22×C4—22no—
379C22×C4—21no—
380C22×C4—21no—
381C22×C4—21no—
382C22×C4—21no—
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—22no—
399C22×C4—22no—
400C22×C4—22no—
401C22×C4—22no—
402C22×C4—22no—
403C22×C4—22no—
404C22×C4—22no—
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—22no—
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—41no—
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×C4—42no—
460C22×C4C2×C22⋊C412yes—
461C22×C4C2×C22⋊C412yes—
462C22×C4C2×C22⋊C412yes—
463C22×C4C2×C22⋊C412yes—
464C22×C4C2×C22⋊C412yes—
465C22×C4C4×D412yes—
466C22×C4C4×D412yes—
467C22×C4C4×D412yes—
468C22×C4C4×D412yes—
469C22×C4#13114yes—
470C22×C4C22×D411yescharacteristic
471C22×C4C22×D411yescharacteristic
472C22×C4C22×D411yescharacteristic
473C22×C4C22×D411yescharacteristic
474C22×C4C2×#4111yescharacteristic
475C22×C4C2×#4111yescharacteristic
476C22×C4H(5,𝔽2)11yescharacteristic
477C22×C4H(5,𝔽2)11yescharacteristic
478C22×C4H(5,𝔽2)11yescharacteristic
479C22×C4H(5,𝔽2)11yescharacteristic
480C22×C4H(5,𝔽2)11yescharacteristic
481C22×C4H(5,𝔽2)11yescharacteristic
482C22×C42−1+411yescharacteristic
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—22no—
493C2×C8—22no—
494C2×C8—22no—
495C2×C8—22no—
496C2×C8—41no—
497C2×C8—41no—
498C2×C8—41no—
499C2×C8—41no—
500C2×C8—41no—
501C2×C8—41no—
502C2×C8—41no—
503C2×C8—41no—
504C2×C8—41no—
505C2×C8—41no—
506C2×C8—41no—
507C2×C8—41no—
508C2×C8—41no—
509C2×C8—41no—
510C2×C8—41no—
511C2×C8—41no—
512C2×C8—42no—
513C2×C8—42no—
514C2×C8—42no—
515C2×C8—42no—
516C2×C8—42no—
517C2×C8—42no—
518C2×C8—42no—
519C2×C8—42no—
520C2×C8—42no—
521C2×C8—42no—
522C2×C8—42no—
523C2×C8—42no—
524C2×C8—42no—
525C2×C8—42no—
526C4⋊C4—28no—
527C4⋊C4—28no—
528C4⋊C4—48no—
529C4⋊C4—48no—
530C4⋊C4—44no—
531C22⋊C4—28no—
532C22⋊C4—28no—
533C22⋊C4—48no—
534C22⋊C4—48no—
535C22⋊C4—48no—
536C22⋊C4—48no—
537C22⋊C4—48no—
538C42—22no—
539C42—22no—
540C42—22no—
541C42—22no—
542C42—42no—
543C42—42no—
544C42—42no—
545C42—42no—
546C42#12014yes—
547C42#12114yes—
548C42#12114yes—
549C42#12314yes—
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—42no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—41no—
576C23—42no—
577C23—41no—
578C23—42no—
579C23—41no—
580C23—42no—
581C23—41no—
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—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23C22×C22⋊C411yescharacteristic
609C23C2×C4×D411yescharacteristic
610C23C2×C4×D411yescharacteristic
611C23#51811yescharacteristic
612C23#51811yescharacteristic
613C23#52011yescharacteristic
614C23#52011yescharacteristic
615C23C2×#13112yes—
616C23C2×#13112yes—
617C23#56812yes—
618C23#56812yes—
619D4—416no—
620D4—432no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
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—22no—
639C2×C4—42no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—42no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
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—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4—82no—
678C2×C4—82no—
679C2×C4—82no—
680C2×C4—82no—
681C2×C4—82no—
682C2×C4—82no—
683C2×C4#38614yes—
684C2×C4#38614yes—
685C2×C4C2×#12011yescharacteristic
686C2×C4C2×#12111yescharacteristic
687C2×C4C2×#12111yescharacteristic
688C2×C4C2×#12311yescharacteristic
689C2×C4#53511yescharacteristic
690C2×C4#53511yescharacteristic
691C2×C4#53511yescharacteristic
692C2×C4#53511yescharacteristic
693C2×C4#53511yescharacteristic
694C2×C4#53511yescharacteristic
695C2×C4#53511yescharacteristic
696C2×C4#53511yescharacteristic
697C2×C4#53511yescharacteristic
698C2×C4#53611yescharacteristic
699C2×C4#53711yescharacteristic
700C2×C4#53711yescharacteristic
701C2×C4#53711yescharacteristic
702C2×C4#53711yescharacteristic
703C2×C4#53711yescharacteristic
704C2×C4#53711yescharacteristic
705C2×C4#54011yescharacteristic
706C2×C4#54011yescharacteristic
707C2×C4#54011yescharacteristic
708C2×C4#54011yescharacteristic
709C2×C4#54211yescharacteristic
710C2×C4#54211yescharacteristic
711C2×C4#54211yescharacteristic
712C2×C4#54211yescharacteristic
713C8—42no—
714C8—42no—
715C8—42no—
716C8—42no—
717C8—82no—
718C8—82no—
719C22—44no—
720C22—44no—
721C22—44no—
722C22—44no—
723C22—44no—
724C22—44no—
725C22—44no—
726C22—44no—
727C22—44no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—82no—
732C22—82no—
733C22—81no—
734C22—81no—
735C22—82no—
736C22—81no—
737C22—82no—
738C22—81no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22C2×#38611yescharacteristic
746C22#230911yescharacteristic
747C22#231111yescharacteristic
748C22#232411yescharacteristic
749C22#232411yescharacteristic
750C22#232411yescharacteristic
751C22#232411yescharacteristic
752C22#288012yes—
753C22#288012yes—
754C22#292911yescharacteristic
755C22#293011yescharacteristic
756C22#293111yescharacteristic
757C22#293211yescharacteristic
758C22#293312yes—
759C22#293512yes—
760C22#297612yes—
761C22#297612yes—
762C22#297712yes—
763C22#297812yes—
764C22#299212yes—
765C22#299312yes—
766C22#299412yes—
767C22#299512yes—
768C4—24no—
769C4—24no—
770C4—44no—
771C4—42no—
772C4—42no—
773C4—42no—
774C4—82no—
775C4—82no—
776C4#261511yescharacteristic
777C4#261511yescharacteristic
778C4#261911yescharacteristic
779C4#261911yescharacteristic
780C4#262011yescharacteristic
781C4#262011yescharacteristic
782C4#262411yescharacteristic
783C4#262411yescharacteristic
784C2—82no—
785C2—84no—
786C2#1425711yescharacteristic
787C2#2089911yescharacteristic
788C2#2090011yescharacteristic
789C2#2179212yes—
790C2#2185512yes—
791C2#2213411yescharacteristic
792C2#2213611yescharacteristic
793C2#2213811yescharacteristic
794C2#2214011yescharacteristic
795C2#2214212yes—
796C2#2214412yes—
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×#433C2semidirect
3. C2×#1955C2semidirect
4. C2×#1954C2semidirect
5. C2×#1798C2semidirect
6. #11042C2semidirect
7. #11042C2semidirect
8. #10964C2semidirect
9. #10964C2semidirect
10. #10835C2semidirect
11. #10834C2semidirect
128. C2×#97D4semidirect
131. C2×C4×C8D4semidirect

Maximal subgroups

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

subgroupindex
C22×#4332
C2×#23922
C2×#19552
C2×#19542
C2×#17982
#110422
#109642
#108352
#108342