Finite Group Databasebeta

← #411995

Subgroups — #411995

Order 512.

1736 conjugacy classes of subgroups.

The subgroup lattice has 771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2538C211yesmaximal, characteristic
2C2×#2036C212yesmaximal, complemented
3C2×#1954C211yesmaximal, characteristic
4C2×#1947C211yesmaximal, characteristic, complemented
5C2×#1803C211yesmaximal, characteristic, complemented
6C2×C4×#103C211yesmaximal, characteristic, complemented
7#13906C211yesmaximal, characteristic
8#11200C212yesmaximal, complemented
9#11096C212yesmaximal, complemented
10#10970C212yesmaximal, complemented
11#10841C211yesmaximal, characteristic, complemented
12C22×C22⋊Q8C2212yes—
13C22×C4×Q8C2211yescharacteristic
14C22×C4×D4C2211yescharacteristic
15C22×#107C2212yes—
16C22×C4⋊C8C2211yescharacteristic
17C22×#103C2211yescharacteristic
18C22×#103C2212yes—
19C22×#103C2211yescharacteristic
20C22×C22⋊C8C2212yes—
21C22×C22⋊C8C2212yes—
22C22×C4×C8C2211yescharacteristic
23#2538—24no—
24#2538—24no—
25C2×#396—22no—
26C2×#390—21no—
27C2×#390—21no—
28C2×#389—21no—
29C2×#384C2211yescharacteristic
30C2×#384C2211yescharacteristic
31C2×#380C2212yes—
32C2×#380C2212yes—
33C2×#380C2212yes—
34C2×C4×C4⋊C4C2211yescharacteristic
35#2036—28no—
36#1954—24no—
37#1947—24no—
38#1803—24no—
39C4×#103—24no—
40C2×#340C2211yescharacteristic
41C2×#340C2212yes—
42C2×#340C2212yes—
43C2×#340C2212yes—
44C2×#340C2211yescharacteristic
45C2×#340C2212yes—
46#1439—22no—
47C4⋊#95—21no—
48C23×Q8C2311yescharacteristic
49C23×D4D411yescharacteristic
50C24×C4C2312yes—
51C23×C8C2311yescharacteristic
52C23×C8C2312yes—
53C23×C8C2311yescharacteristic
54C2×C22⋊Q8—24no—
55C2×C22⋊Q8—24no—
56C2×C22⋊Q8—24no—
57C2×C22⋊Q8—24no—
58C2×C22⋊Q8—42no—
59C2×C22⋊Q8—42no—
60C2×C4×Q8—22no—
61C2×C4×Q8—22no—
62C2×C4×Q8—22no—
63C2×C4×Q8—22no—
64C2×C4×Q8—22no—
65C2×C4×Q8D414yes—
66C2×C4×D4—22no—
67C2×C4×D4—22no—
68C2×C4×D4—22no—
69C2×C4×D4—22no—
70C2×C4×D4—22no—
71C2×C4×D4—22no—
72C22×C4⋊C4—21no—
73C22×C4⋊C4—22no—
74C22×C4⋊C4—21no—
75C22×C4⋊C4—21no—
76C22×C4⋊C4—21no—
77C22×C4⋊C4—21no—
78C22×C4⋊C4D411yescharacteristic
79C22×C4⋊C4C2312yes—
80C22×C4⋊C4C2311yescharacteristic
81C22×C4⋊C4C2312yes—
82C22×C4⋊C4C2311yescharacteristic
83C22×C4⋊C4C2311yescharacteristic
84C22×C22⋊C4—22no—
85C22×C22⋊C4—22no—
86C22×C22⋊C4—22no—
87C22×C22⋊C4—22no—
88C22×C22⋊C4D412yes—
89C22×C42—21no—
90C22×C42—21no—
91C22×C42C2311yescharacteristic
92C2×#107—24no—
93C2×#107—24no—
94C2×#107—42no—
95C2×C4⋊C8—22no—
96C2×C4⋊C8—22no—
97C2×C4⋊C8D414yes—
98C2×#103—22no—
99C2×#103—22no—
100C2×#103—22no—
101C2×#103—22no—
102C2×#103—22no—
103C2×#103—24no—
104C2×#103—24no—
105C2×#103—42no—
106C2×#103D414yescomplemented
107C2×C22⋊C8—24no—
108C2×C22⋊C8—24no—
109C2×C22⋊C8—24no—
110C2×C22⋊C8—24no—
111C2×C22⋊C8—42no—
112C2×C22⋊C8—42no—
113C2×C4×C8—22no—
114C2×C4×C8—22no—
115C2×C4×C8—22no—
116#396—216no—
117#390—28no—
118#390—44no—
119#389—28no—
120#384—22no—
121#384—22no—
122#384—22no—
123#384D414yes—
124#380—24no—
125#380—24no—
126#380—24no—
127#380—24no—
128#380—42no—
129#380—42no—
130C4×C4⋊C4—22no—
131C4×C4⋊C4—22no—
132C2×#95—22no—
133C2×#95—22no—
134C2×#95—22no—
135C2×#95—21no—
136#340—24no—
137#340—24no—
138#340—24no—
139#340—22no—
140#340—22no—
141#340—42no—
142C25C2×D412yes—
143C22×Q8—21no—
144C22×Q8—21no—
145C22×Q8—21no—
146C22×Q8—21no—
147C22×Q8—21no—
148C22×Q8—21no—
149C22×Q8—21no—
150C22×Q8—21no—
151C22×Q8—21no—
152C22×Q8—21no—
153C22×Q8—21no—
154C22×Q8C2×D412yes—
155C22×Q8C2×D412yes—
156C22×Q8#4112yes—
157C22×D4—22no—
158C22×D4—22no—
159C22×D4—22no—
160C22×D4—22no—
161C22×D4—22no—
162C22×D4—22no—
163C22×D4Q1614yes—
164C23×C4—21no—
165C23×C4—22no—
166C23×C4—21no—
167C23×C4—21no—
168C23×C4—21no—
169C23×C4—22no—
170C23×C4—22no—
171C23×C4—22no—
172C23×C4—22no—
173C23×C4—22no—
174C23×C4—22no—
175C23×C4—22no—
176C23×C4—22no—
177C23×C4—22no—
178C23×C4—22no—
179C23×C4—22no—
180C23×C4—22no—
181C23×C4—22no—
182C23×C4—22no—
183C23×C4—22no—
184C23×C4C2×D412yes—
185C23×C4C2×D411yescharacteristic
186C23×C4C2×D411yescharacteristic
187C23×C4C2411yescharacteristic
188C22×C8—21no—
189C22×C8—21no—
190C22×C8—22no—
191C22×C8—21no—
192C22×C8—21no—
193C22×C8—22no—
194C22×C8—21no—
195C22×C8—21no—
196C22×C8—22no—
197C22×C8—21no—
198C22×C8—21no—
199C22×C8—22no—
200C22×C8—21no—
201C22×C8—21no—
202C22×C8—21no—
203C22×C8—22no—
204C22×C8—22no—
205C22×C8—21no—
206C22×C8C2×D412yes—
207C22×C8C2×D414yes—
208C22×C8#4112yes—
209C22⋊Q8—48no—
210C22⋊Q8—48no—
211C22⋊Q8—48no—
212C22⋊Q8—48no—
213C4×Q8—28no—
214C4×Q8—28no—
215C4×Q8—44no—
216C4×Q8—44no—
217C4×D4—44no—
218C4×D4—44no—
219C4×D4—44no—
220C4×D4—44no—
221C2×C4⋊C4—21no—
222C2×C4⋊C4—22no—
223C2×C4⋊C4—21no—
224C2×C4⋊C4—21no—
225C2×C4⋊C4—21no—
226C2×C4⋊C4—21no—
227C2×C4⋊C4—21no—
228C2×C4⋊C4—21no—
229C2×C4⋊C4—21no—
230C2×C4⋊C4—22no—
231C2×C4⋊C4—21no—
232C2×C4⋊C4—21no—
233C2×C4⋊C4—22no—
234C2×C4⋊C4—22no—
235C2×C4⋊C4—21no—
236C2×C4⋊C4—21no—
237C2×C4⋊C4—28no—
238C2×C4⋊C4—24no—
239C2×C4⋊C4—24no—
240C2×C4⋊C4—22no—
241C2×C4⋊C4—22no—
242C2×C4⋊C4—22no—
243C2×C4⋊C4—21no—
244C2×C4⋊C4—22no—
245C2×C4⋊C4—21no—
246C2×C4⋊C4—21no—
247C2×C4⋊C4—22no—
248C2×C4⋊C4—22no—
249C2×C4⋊C4—22no—
250C2×C4⋊C4—22no—
251C2×C4⋊C4—22no—
252C2×C4⋊C4—22no—
253C2×C4⋊C4—24no—
254C2×C4⋊C4—44no—
255C2×C4⋊C4—44no—
256C2×C4⋊C4—42no—
257C2×C4⋊C4—42no—
258C2×C4⋊C4—42no—
259C2×C4⋊C4—42no—
260C2×C4⋊C4—42no—
261C2×C4⋊C4—42no—
262C2×C4⋊C4—42no—
263C2×C4⋊C4—42no—
264C2×C4⋊C4—81no—
265C2×C4⋊C4—81no—
266C2×C4⋊C4—81no—
267C2×C4⋊C4—81no—
268C2×C4⋊C4C2×D412yes—
269C2×C4⋊C4C2×D414yes—
270C2×C4⋊C4C2×D412yes—
271C2×C4⋊C4#4112yes—
272C2×C22⋊C4—28no—
273C2×C22⋊C4—24no—
274C2×C22⋊C4—24no—
275C2×C22⋊C4—24no—
276C2×C22⋊C4—28no—
277C2×C22⋊C4—44no—
278C2×C22⋊C4—44no—
279C2×C22⋊C4—44no—
280C2×C22⋊C4—44no—
281C2×C22⋊C4—44no—
282C2×C22⋊C4—44no—
283C2×C22⋊C4—82no—
284C2×C22⋊C4—82no—
285C2×C22⋊C4—82no—
286C2×C22⋊C4—82no—
287C2×C42—24no—
288C2×C42—42no—
289C2×C42—42no—
290C2×C42—42no—
291C2×C42—42no—
292C2×C42—42no—
293C2×C42C2×D412yes—
294C2×C42C2×D412yes—
295C2×C42C2×D412yes—
296C2×C42#4112yes—
297C2×C42#4112yes—
298C2×C42#4112yes—
299#107—48no—
300C4⋊C8—28no—
301#103—28no—
302#103—28no—
303#103—48no—
304C22⋊C8—48no—
305C22⋊C8—48no—
306C4×C8—44no—
307#95—28no—
308#95—44no—
309#95—44no—
310#95—42no—
311C24—22no—
312C24—22no—
313C24—22no—
314C24—22no—
315C24—22no—
316C24—22no—
317C24—22no—
318C24—22no—
319C24—22no—
320C24—22no—
321C24—22no—
322C24—22no—
323C24—22no—
324C24—22no—
325C24C2×Q1614yes—
326C24C22×D411yescharacteristic
327C2×Q8—22no—
328C2×Q8—22no—
329C2×Q8—22no—
330C2×Q8—22no—
331C2×Q8—22no—
332C2×Q8—22no—
333C2×Q8—22no—
334C2×Q8—22no—
335C2×Q8—22no—
336C2×Q8—22no—
337C2×Q8—22no—
338C2×Q8—22no—
339C2×Q8—22no—
340C2×Q8—22no—
341C2×Q8—22no—
342C2×Q8—41no—
343C2×Q8—41no—
344C2×Q8—41no—
345C2×Q8—41no—
346C2×Q8—41no—
347C2×Q8—41no—
348C2×Q8—41no—
349C2×Q8—41no—
350C2×Q8—41no—
351C2×Q8—41no—
352C2×Q8—41no—
353C2×Q8—41no—
354C2×Q8#12114yes—
355C2×D4—28no—
356C2×D4—28no—
357C2×D4—28no—
358C2×D4—44no—
359C2×D4—44no—
360C2×D4—44no—
361C2×D4—44no—
362C22×C4—21no—
363C22×C4—21no—
364C22×C4—21no—
365C22×C4—21no—
366C22×C4—22no—
367C22×C4—22no—
368C22×C4—22no—
369C22×C4—22no—
370C22×C4—22no—
371C22×C4—24no—
372C22×C4—22no—
373C22×C4—22no—
374C22×C4—22no—
375C22×C4—22no—
376C22×C4—22no—
377C22×C4—22no—
378C22×C4—22no—
379C22×C4—22no—
380C22×C4—41no—
381C22×C4—41no—
382C22×C4—41no—
383C22×C4—41no—
384C22×C4—41no—
385C22×C4—41no—
386C22×C4—41no—
387C22×C4—41no—
388C22×C4—42no—
389C22×C4—42no—
390C22×C4—41no—
391C22×C4—41no—
392C22×C4—41no—
393C22×C4—41no—
394C22×C4—42no—
395C22×C4—41no—
396C22×C4—41no—
397C22×C4—42no—
398C22×C4—41no—
399C22×C4—41no—
400C22×C4—42no—
401C22×C4—41no—
402C22×C4—41no—
403C22×C4—42no—
404C22×C4—41no—
405C22×C4—41no—
406C22×C4—41no—
407C22×C4—41no—
408C22×C4—42no—
409C22×C4—42no—
410C22×C4—42no—
411C22×C4—42no—
412C22×C4—42no—
413C22×C4—42no—
414C22×C4—42no—
415C22×C4—42no—
416C22×C4—42no—
417C22×C4—42no—
418C22×C4—42no—
419C22×C4—42no—
420C22×C4—42no—
421C22×C4—42no—
422C22×C4—42no—
423C22×C4—42no—
424C22×C4—42no—
425C22×C4—42no—
426C22×C4—42no—
427C22×C4—42no—
428C22×C4—42no—
429C22×C4—42no—
430C22×C4—42no—
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#12012yes—
444C22×C4#12012yes—
445C22×C4#12112yes—
446C22×C4#12112yes—
447C22×C4#12312yes—
448C22×C4#12312yes—
449C22×C4C2×Q1612yes—
450C22×C4#13512yes—
451C22×C4AGL(1,ℤ/8)12yes—
452C22×C4#13712yes—
453C22×C4C22×D411yescharacteristic
454C22×C4C22×D411yescharacteristic
455C22×C4C22×D411yescharacteristic
456C22×C4C22×D411yescharacteristic
457C22×C4C2×#4111yescharacteristic
458C22×C4C2×#4111yescharacteristic
459C22×C4C2×#4111yescharacteristic
460C22×C4C2×#4111yescharacteristic
461C22×C4C2×#4111yescharacteristic
462C22×C4C2×#4111yescharacteristic
463C22×C4H(5,𝔽2)11yescharacteristic
464C22×C4H(5,𝔽2)11yescharacteristic
465C22×C4H(5,𝔽2)11yescharacteristic
466C22×C42−1+411yescharacteristic
467C2×C8—22no—
468C2×C8—24no—
469C2×C8—22no—
470C2×C8—22no—
471C2×C8—24no—
472C2×C8—22no—
473C2×C8—24no—
474C2×C8—22no—
475C2×C8—22no—
476C2×C8—41no—
477C2×C8—41no—
478C2×C8—42no—
479C2×C8—41no—
480C2×C8—41no—
481C2×C8—42no—
482C2×C8—42no—
483C2×C8—41no—
484C2×C8—41no—
485C2×C8—42no—
486C2×C8—41no—
487C2×C8—41no—
488C4⋊C4—22no—
489C4⋊C4—22no—
490C4⋊C4—22no—
491C4⋊C4—22no—
492C4⋊C4—22no—
493C4⋊C4—24no—
494C4⋊C4—24no—
495C4⋊C4—22no—
496C4⋊C4—416no—
497C4⋊C4—41no—
498C4⋊C4—42no—
499C4⋊C4—41no—
500C4⋊C4—41no—
501C4⋊C4—42no—
502C4⋊C4—41no—
503C4⋊C4—41no—
504C4⋊C4—41no—
505C4⋊C4—44no—
506C4⋊C4—48no—
507C4⋊C4—48no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4—42no—
511C4⋊C4—42no—
512C4⋊C4—84no—
513C4⋊C4—84no—
514C4⋊C4—84no—
515C22⋊C4—416no—
516C22⋊C4—48no—
517C22⋊C4—88no—
518C22⋊C4—88no—
519C22⋊C4—88no—
520C42—48no—
521C42—84no—
522C42#12114yes—
523C42#12114yes—
524C42#12314yes—
525C42#12414yes—
526C23—24no—
527C23—24no—
528C23—24no—
529C23—24no—
530C23—24no—
531C23—24no—
532C23—24no—
533C23—42no—
534C23—42no—
535C23—42no—
536C23—42no—
537C23—42no—
538C23—42no—
539C23—42no—
540C23—42no—
541C23—42no—
542C23—42no—
543C23—42no—
544C23—42no—
545C23—42no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23C2×#12011yescharacteristic
562C23C2×#12111yescharacteristic
563C23C2×#12311yescharacteristic
564C23D4211yescharacteristic
565C23#54611yescharacteristic
566C23#54611yescharacteristic
567C23#54711yescharacteristic
568C23C22×Q1611yescharacteristic
569C23C2×#13511yescharacteristic
570C23C2×AGL(1,ℤ/8)11yescharacteristic
571C23C2×#13711yescharacteristic
572C23#57611yescharacteristic
573C23#57711yescharacteristic
574C23#57711yescharacteristic
575C23#57811yescharacteristic
576Q8—24no—
577Q8—24no—
578Q8—42no—
579Q8—42no—
580Q8—42no—
581Q8—42no—
582Q8—42no—
583Q8—42no—
584D4—416no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—24no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—44no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—44no—
610C2×C4—42no—
611C2×C4—44no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—82no—
618C2×C4—81no—
619C2×C4—81no—
620C2×C4—81no—
621C2×C4—81no—
622C2×C4—81no—
623C2×C4—81no—
624C2×C4—81no—
625C2×C4—81no—
626C2×C4—81no—
627C2×C4—82no—
628C2×C4—82no—
629C2×C4—82no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—82no—
634C2×C4—82no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4—82no—
638C2×C4—82no—
639C2×C4—82no—
640C2×C4—82no—
641C2×C4—82no—
642C2×C4—82no—
643C2×C4—82no—
644C2×C4—82no—
645C2×C4—82no—
646C2×C4—82no—
647C2×C4—82no—
648C2×C4#39414yes—
649C2×C4#39414yes—
650C2×C4#44914yes—
651C2×C4#45114yes—
652C2×C4#46714yes—
653C2×C4#46814yes—
654C2×C4#48414yes—
655C2×C4#48514yes—
656C2×C4C2×#12111yescharacteristic
657C2×C4C2×#12111yescharacteristic
658C2×C4C2×#12111yescharacteristic
659C2×C4C2×#12311yescharacteristic
660C2×C4#52511yescharacteristic
661C2×C4C2×#12411yescharacteristic
662C2×C4#52911yescharacteristic
663C2×C4#52911yescharacteristic
664C2×C4#53211yescharacteristic
665C2×C4#53211yescharacteristic
666C2×C4#53511yescharacteristic
667C2×C4#53711yescharacteristic
668C2×C4#54011yescharacteristic
669C2×C4#54011yescharacteristic
670C2×C4#54211yescharacteristic
671C2×C4#54211yescharacteristic
672C2×C4D4211yescharacteristic
673C2×C4D4211yescharacteristic
674C2×C4#54611yescharacteristic
675C2×C4#54611yescharacteristic
676C2×C4#54711yescharacteristic
677C2×C4#54811yescharacteristic
678C2×C4#54811yescharacteristic
679C2×C4#55011yescharacteristic
680C2×C4#55011yescharacteristic
681C2×C4#55311yescharacteristic
682C2×C4#55311yescharacteristic
683C2×C4#55511yescharacteristic
684C8—42no—
685C8—42no—
686C8—44no—
687C22—44no—
688C22—44no—
689C22—44no—
690C22—44no—
691C22—44no—
692C22—44no—
693C22—44no—
694C22—82no—
695C22—82no—
696C22—82no—
697C22—82no—
698C22—82no—
699C22—82no—
700C22—82no—
701C22—82no—
702C22C2×#39411yescharacteristic
703C22#240711yescharacteristic
704C22#240811yescharacteristic
705C22#242011yescharacteristic
706C22#242211yescharacteristic
707C22#242711yescharacteristic
708C22#242811yescharacteristic
709C22C2×#45111yescharacteristic
710C22C2×#44911yescharacteristic
711C22#301211yescharacteristic
712C22#301311yescharacteristic
713C22C2×#46711yescharacteristic
714C22C2×#46811yescharacteristic
715C22#306211yescharacteristic
716C22#306311yescharacteristic
717C22C2×#48511yescharacteristic
718C22C2×#48411yescharacteristic
719C22#309811yescharacteristic
720C22#309911yescharacteristic
721C22#327411yescharacteristic
722C22#327811yescharacteristic
723C22#328411yescharacteristic
724C22D4×Q1611yescharacteristic
725C22#329911yescharacteristic
726C22#329911yescharacteristic
727C22#330211yescharacteristic
728C22#330511yescharacteristic
729C22#332411yescharacteristic
730C22#332811yescharacteristic
731C22#333211yescharacteristic
732C22#333311yescharacteristic
733C22#333811yescharacteristic
734C22#334011yescharacteristic
735C22#335311yescharacteristic
736C22#335611yescharacteristic
737C4—24no—
738C4—44no—
739C4—82no—
740C4—82no—
741C4—84no—
742C4—82no—
743C4—82no—
744C4—162no—
745C4#203618yescomplemented
746C4#241411yescharacteristic
747C4#241611yescharacteristic
748C4#242611yescharacteristic
749C4#242811yescharacteristic
750C4#249011yescharacteristic
751C4#249111yescharacteristic
752C4#262411yescharacteristic
753C4#285411yescharacteristic
754C2—84no—
755C2#1512611yescharacteristic
756C2C2×#203611yescharacteristic
757C2#2348511yescharacteristic
758C2#2411911yescharacteristic
759C2#2412211yescharacteristic
760C2#2423811yescharacteristic
761C2#2424311yescharacteristic
762C2#2497011yescharacteristic
763C2#2497111yescharacteristic
764C2#2501511yescharacteristic
765C2#2501611yescharacteristic
766C2#2534011yescharacteristic
767C2#2534811yescharacteristic
768C2#2538611yescharacteristic
769C2#2539511yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC23×C4C24
prime radicalC23×D4D4
LCSG ▷ C23×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×C4×D4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2036C2semidirect
4. C2×#1947C2semidirect
5. C2×#1803C2semidirect
6. C2×C4×#103C2semidirect
8. #11200C2semidirect
9. #11096C2semidirect
10. #10970C2semidirect
11. #10841C2semidirect
106. C2×#103D4semidirect
745. C4#2036semidirect

Maximal subgroups

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

subgroupindex
C2×#25382
C2×#20362
C2×#19542
C2×#19472
C2×#18032
C2×C4×#1032
#139062
#112002
#110962
#109702
#108412