Finite Group Databasebeta

← #357972

Subgroups — #357972

Order 512.

2706 conjugacy classes of subgroups.

The subgroup lattice has 818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#421C211yesmaximal, characteristic
2C2×#2896C211yesmaximal, characteristic
3C2×#2311C211yesmaximal, characteristic
4C22×#343C211yesmaximal, characteristic, complemented
5#20347C211yesmaximal, characteristic, complemented
6C2×#1733C211yesmaximal, characteristic, complemented
7#13795C211yesmaximal, characteristic, complemented
8#11195C218yesmaximal, complemented
9C23×#41C2211yescharacteristic
10C23×M16C2211yescharacteristic
11C23×M16C2211yescharacteristic
12C22×#117C2211yescharacteristic
13C22×#117C2211yescharacteristic
14C22×#117C2211yescharacteristic
15C23×C4⋊C4C2211yescharacteristic
16C2×#421—24no—
17C2×#421—24no—
18C2×#421—24no—
19C22×#104C2214yes—
20#2896—24no—
21#2896C418yescomplemented
22C2×#417C2214yes—
23C2×#419—21no—
24C2×#418—21no—
25C2×#416—22no—
26#2311—22no—
27#2311—22no—
28#2311—22no—
29#2311C2214yes—
30C2×#391—21no—
31C2×#390—21no—
32C2×#386—22no—
33C2×#380—22no—
34C2×#343—24no—
35C2×#343C2214yescomplemented
36#1736—22no—
37#1736C2214yescomplemented
38#1735—22no—
39#1733—24no—
40C2×#339C2214yescomplemented
41C4⋊#95—22no—
42C4⋊#95C2214yescomplemented
43C22⋊#95—22no—
44C22×#41—21no—
45C22×#41—21no—
46C22×#41—22no—
47C22×#41—22no—
48C22×#41—22no—
49C22×#41—22no—
50C22×#41—22no—
51C22×#41—22no—
52C22×#41—22no—
53C22×#41—22no—
54C22×#41—22no—
55C22×#41—22no—
56C22×#41C2×C414yes—
57C22×#41D414yes—
58C22×#41D412yes—
59C22×#41C2312yes—
60C23×Q8D411yescharacteristic
61C23×D4—21no—
62C23×D4D411yescharacteristic
63C24×C4—21no—
64C24×C4D412yes—
65C24×C4C2311yescharacteristic
66C22×M16—21no—
67C22×M16—22no—
68C22×M16—21no—
69C22×M16—22no—
70C22×M16—22no—
71C22×M16—22no—
72C22×M16—22no—
73C22×M16—22no—
74C22×M16—22no—
75C22×M16—22no—
76C22×M16—22no—
77C22×M16—22no—
78C22×M16C2×C414yes—
79C22×M16D414yes—
80C22×M16C2312yes—
81C22×M16C2312yes—
82C23×C8—21no—
83C23×C8—21no—
84C2×#117—21no—
85C2×#117—21no—
86C2×#117—22no—
87C2×#117—22no—
88C2×#117—22no—
89C2×#117—22no—
90C2×#117—22no—
91C2×#117—22no—
92C2×#117—21no—
93C2×#117—21no—
94C2×#117—22no—
95C2×#117—22no—
96C2×#117—21no—
97C2×#117—21no—
98C2×#117—22no—
99C2×#117—22no—
100C2×#117—22no—
101C2×#117—22no—
102C2×#117C2×C414yes—
103C2×#117D412yes—
104C2×#117D414yes—
105C2×#117C2312yes—
106C22×C4⋊C4—21no—
107C22×C4⋊C4—21no—
108C22×C4⋊C4—22no—
109C22×C4⋊C4—21no—
110C22×C4⋊C4—21no—
111C22×C4⋊C4—21no—
112C22×C4⋊C4—22no—
113C22×C4⋊C4—22no—
114C22×C4⋊C4—22no—
115C22×C4⋊C4D412yes—
116C22×C4⋊C4D412yes—
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2312yes—
119C22×C22⋊C4—21no—
120C22×C22⋊C4—21no—
121C22×C22⋊C4—21no—
122C22×C22⋊C4—24no—
123C22×C42—21no—
124C22×C42—21no—
125C22×C42C2312yes—
126#421—232no—
127C2×#104—28no—
128C2×#104—28no—
129C2×#104—28no—
130#419—28no—
131#418—28no—
132#417—28no—
133#417C2×C4116yescomplemented
134#416—216no—
135C2×#103—24no—
136C2×#102—24no—
137#391—24no—
138#391—24no—
139#390—24no—
140#390—24no—
141#386—28no—
142#386—28no—
143#380—28no—
144#380—28no—
145C2×#95—24no—
146C2×#95—28no—
147#343—28no—
148#340—28no—
149#339—28no—
150C25—21no—
151C25C2×D411yescharacteristic
152C2×#41—24no—
153C2×#41—24no—
154C2×#41—24no—
155C2×#41—24no—
156C2×#41—24no—
157C2×#41—22no—
158C2×#41—22no—
159C2×#41—28no—
160C2×#41—28no—
161C2×#41—28no—
162C2×#41—28no—
163C2×#41—28no—
164C2×#41—24no—
165C2×#41—24no—
166C2×#41—28no—
167C2×#41—24no—
168C2×#41—24no—
169C2×#41—28no—
170C2×#41—28no—
171C2×#41—22no—
172C2×#41—22no—
173C2×#41—22no—
174C2×#41—22no—
175C2×#41—22no—
176C2×#41—22no—
177C2×#41—22no—
178C2×#41—22no—
179C2×#41—42no—
180C2×#41—42no—
181C2×#41—42no—
182C2×#41—42no—
183C2×#41—42no—
184C2×#41—44no—
185C2×#41—44no—
186C2×#41—42no—
187C2×#41—42no—
188C2×#41—44no—
189C2×#41—44no—
190C2×#41—42no—
191C2×#41—44no—
192C2×#41—44no—
193C2×#41—44no—
194C2×#41—44no—
195C2×#41C22⋊C418yes—
196C2×#41C22×C414yes—
197C2×#41C2×D414yes—
198C22×Q8—21no—
199C22×Q8—22no—
200C22×Q8—22no—
201C22×Q8—22no—
202C22×Q8—22no—
203C22×Q8—22no—
204C22×Q8C22⋊C414yes—
205C22×Q8C2×D412yes—
206C22×D4—24no—
207C22×D4—22no—
208C22×D4—24no—
209C22×D4—22no—
210C22×D4—21no—
211C22×D4—22no—
212C22×D4—22no—
213C22×D4—22no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—42no—
217C22×D4—42no—
218C22×D4—42no—
219C22×D4—42no—
220C22×D4C22⋊C414yes—
221C22×D4C2×D412yes—
222C23×C4—21no—
223C23×C4—24no—
224C23×C4—22no—
225C23×C4—24no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—42no—
235C23×C4—42no—
236C23×C4—42no—
237C23×C4—42no—
238C23×C4—84no—
239C23×C4C22×C412yes—
240C23×C4C2×D414yes—
241C23×C4C2×D412yes—
242C23×C4C2×D411yescharacteristic
243C23×C4C2×D411yescharacteristic
244C23×C4C2×D411yescharacteristic
245C23×C4C2×D412yes—
246C23×C4C2×D412yes—
247C23×C4C2×D411yescharacteristic
248C23×C4C2×D411yescharacteristic
249C23×C4#4112yes—
250C23×C4#4112yes—
251C23×C4#4112yes—
252C23×C4#4112yes—
253C23×C4#4112yes—
254C23×C4#4112yes—
255C23×C4#4112yes—
256C23×C4#4112yes—
257C23×C4C2411yescharacteristic
258C2×M16—24no—
259C2×M16—24no—
260C2×M16—22no—
261C2×M16—22no—
262C2×M16—28no—
263C2×M16—28no—
264C2×M16—28no—
265C2×M16—28no—
266C2×M16—22no—
267C2×M16—22no—
268C2×M16—22no—
269C2×M16—22no—
270C2×M16—22no—
271C2×M16—22no—
272C2×M16—22no—
273C2×M16—22no—
274C2×M16—44no—
275C2×M16—42no—
276C2×M16—42no—
277C2×M16—42no—
278C2×M16—42no—
279C2×M16—44no—
280C2×M16—44no—
281C2×M16—44no—
282C2×M16C22×C414yes—
283C2×M16C2×D414yes—
284C22×C8—24no—
285C22×C8—24no—
286C22×C8—22no—
287C22×C8—22no—
288C22×C8—42no—
289C22×C8—42no—
290C22×C8—42no—
291C22×C8—42no—
292#117—28no—
293#117—28no—
294#117—24no—
295#117—24no—
296#117—24no—
297#117—24no—
298#117—24no—
299#117—24no—
300#117—22no—
301#117—22no—
302#117—22no—
303#117—22no—
304#117—42no—
305#117—42no—
306#117—42no—
307#117—42no—
308#117—44no—
309#117—42no—
310#117—42no—
311#117—42no—
312#117—44no—
313#117—42no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—42no—
334C2×C4⋊C4—42no—
335C2×C4⋊C4—42no—
336C2×C4⋊C4—42no—
337C2×C4⋊C4—42no—
338C2×C4⋊C4—42no—
339C2×C4⋊C4—42no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4—42no—
342C2×C4⋊C4—42no—
343C2×C4⋊C4C22×C414yes—
344C2×C4⋊C4C2×D414yes—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—216no—
350C2×C22⋊C4—41no—
351C2×C22⋊C4—41no—
352C2×C22⋊C4—42no—
353C2×C22⋊C4—42no—
354C2×C22⋊C4—42no—
355C2×C22⋊C4—42no—
356C2×C22⋊C4—42no—
357C2×C22⋊C4—88no—
358C2×C42—22no—
359C2×C42—22no—
360C2×C42—22no—
361C2×C42—22no—
362C2×C42—24no—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—22no—
366C2×C42—41no—
367C2×C42—41no—
368C2×C42—42no—
369C2×C42—42no—
370C2×C42—42no—
371C2×C42C2×D414yes—
372#104—232no—
373#103—216no—
374#102—216no—
375#95—216no—
376#95—88no—
377C24—22no—
378C24—24no—
379C24—42no—
380C24—42no—
381C24—44no—
382C24—44no—
383C24—42no—
384C24—42no—
385C24C4×D412yes—
386C24#12011yescharacteristic
387C24#12011yescharacteristic
388C24#12112yes—
389C24#12112yes—
390C24#12112yes—
391C24#12312yes—
392C24#12412yes—
393C24C22×D411yescharacteristic
394#41—24no—
395#41—24no—
396#41—24no—
397#41—24no—
398#41—24no—
399#41—24no—
400#41—24no—
401#41—24no—
402#41—216no—
403#41—216no—
404#41—42no—
405#41—42no—
406#41—42no—
407#41—42no—
408#41—42no—
409#41—42no—
410#41—42no—
411#41—42no—
412#41—48no—
413#41—48no—
414#41—48no—
415#41—48no—
416#41—48no—
417#41—48no—
418#41—48no—
419#41—48no—
420#41—48no—
421#41—48no—
422C2×Q8—22no—
423C2×Q8—24no—
424C2×Q8—22no—
425C2×Q8—22no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—28no—
429C2×Q8—28no—
430C2×Q8—42no—
431C2×Q8—42no—
432C2×Q8—44no—
433C2×Q8—44no—
434C2×Q8C2×C22⋊C414yes—
435C2×D4—24no—
436C2×D4—24no—
437C2×D4—28no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—28no—
444C2×D4—28no—
445C2×D4—24no—
446C2×D4—42no—
447C2×D4—42no—
448C2×D4—42no—
449C2×D4—42no—
450C2×D4—48no—
451C2×D4—48no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—48no—
455C2×D4—48no—
456C2×D4—42no—
457C2×D4—42no—
458C2×D4—44no—
459C2×D4—44no—
460C2×D4C2×C22⋊C414yes—
461C22×C4—22no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—28no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—48no—
479C22×C4—48no—
480C22×C4—44no—
481C22×C4—44no—
482C22×C4—48no—
483C22×C4—48no—
484C22×C4—48no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—48no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—84no—
500C22×C4—88no—
501C22×C4—88no—
502C22×C4C2×C22⋊C412yes—
503C22×C4C2×C22⋊C412yes—
504C22×C4#11714yes—
505C22×C4#11714yes—
506C22×C4C4×D414yes—
507C22×C4C4×D414yes—
508C22×C4C4×D412yes—
509C22×C4C4×D412yes—
510C22×C4C4×D412yes—
511C22×C4#12014yes—
512C22×C4#12011yescharacteristic
513C22×C4#12011yescharacteristic
514C22×C4#12112yes—
515C22×C4#12112yes—
516C22×C4#12112yes—
517C22×C4#12112yes—
518C22×C4#12112yes—
519C22×C4#12112yes—
520C22×C4#12112yes—
521C22×C4#12112yes—
522C22×C4#12112yes—
523C22×C4#12112yes—
524C22×C4#12112yes—
525C22×C4#12112yes—
526C22×C4#12112yes—
527C22×C4#12314yes—
528C22×C4#12312yes—
529C22×C4#12312yes—
530C22×C4#12312yes—
531C22×C4#12312yes—
532C22×C4#12314yes—
533C22×C4#12314yes—
534C22×C4#12312yes—
535C22×C4#12312yes—
536C22×C4#12312yes—
537C22×C4#12314yes—
538C22×C4#12312yes—
539C22×C4#12314yes—
540C22×C4#12312yes—
541C22×C4#12412yes—
542C22×C4#12412yes—
543C22×C4#12414yes—
544C22×C4#12414yes—
545C22×C4#12412yes—
546C22×C4#12614yes—
547C22×C4#12614yes—
548C22×C4#12614yes—
549C22×C4#12614yes—
550C22×C4C23×C411yescharacteristic
551C22×C4C22×D411yescharacteristic
552C22×C4C22×D411yescharacteristic
553C22×C4C22×D411yescharacteristic
554C22×C4C22×D411yescharacteristic
555C22×C4C22×D411yescharacteristic
556C22×C4C2×#4111yescharacteristic
557C22×C4C2×#4111yescharacteristic
558C22×C4C2×#4111yescharacteristic
559C22×C4C2×#4111yescharacteristic
560C22×C4C2×#4111yescharacteristic
561C22×C4C2×#4111yescharacteristic
562C22×C4C2×#4111yescharacteristic
563C22×C4C2×#4111yescharacteristic
564M16—24no—
565M16—24no—
566M16—24no—
567M16—24no—
568M16—42no—
569M16—42no—
570M16—42no—
571M16—42no—
572M16—48no—
573M16—48no—
574C2×C8—24no—
575C2×C8—24no—
576C2×C8—42no—
577C2×C8—42no—
578C2×C8—42no—
579C2×C8—42no—
580C2×C8—48no—
581C2×C8—48no—
582C4⋊C4—24no—
583C4⋊C4—24no—
584C4⋊C4—24no—
585C4⋊C4—24no—
586C4⋊C4—42no—
587C4⋊C4—42no—
588C4⋊C4—42no—
589C4⋊C4—42no—
590C4⋊C4—42no—
591C4⋊C4—42no—
592C4⋊C4—44no—
593C4⋊C4—44no—
594C4⋊C4—44no—
595C4⋊C4—48no—
596C22⋊C4—42no—
597C22⋊C4—42no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—48no—
601C22⋊C4—44no—
602C22⋊C4—816no—
603C42—24no—
604C42—24no—
605C42—42no—
606C42—42no—
607C42—42no—
608C42—42no—
609C42—44no—
610C42—44no—
611C42—44no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—24no—
619C23—42no—
620C23—42no—
621C23—44no—
622C23—42no—
623C23—44no—
624C23—44no—
625C23—42no—
626C23—44no—
627C23—416no—
628C23—42no—
629C23—42no—
630C23—48no—
631C23—44no—
632C23—44no—
633C23—84no—
634C23—84no—
635C23—88no—
636C23#38612yes—
637C23#38612yes—
638C23#38814yes—
639C23#38814yes—
640C23#39412yes—
641C23#39412yes—
642C23#39412yes—
643C23#39412yes—
644C23#39414yes—
645C23#39714yes—
646C23C2×C4×D411yescharacteristic
647C23C2×#12011yescharacteristic
648C23C2×#12111yescharacteristic
649C23C2×#12111yescharacteristic
650C23C2×#12111yescharacteristic
651C23C2×#12311yescharacteristic
652C23C2×#12411yescharacteristic
653Q8—24no—
654Q8—24no—
655Q8—42no—
656Q8—42no—
657Q8—48no—
658D4—24no—
659D4—24no—
660D4—44no—
661D4—44no—
662D4—416no—
663D4—44no—
664D4—44no—
665D4—42no—
666D4—42no—
667D4—48no—
668C2×C4—24no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—48no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—416no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—48no—
678C2×C4—48no—
679C2×C4—48no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—48no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—82no—
688C2×C4—82no—
689C2×C4—84no—
690C2×C4—88no—
691C2×C4—84no—
692C2×C4—88no—
693C2×C4—88no—
694C2×C4—82no—
695C2×C4—82no—
696C2×C4—84no—
697C2×C4#38114yes—
698C2×C4#38114yes—
699C2×C4#38612yes—
700C2×C4#38612yes—
701C2×C4#38614yes—
702C2×C4#38614yes—
703C2×C4#38814yes—
704C2×C4#38814yes—
705C2×C4#38814yes—
706C2×C4#38814yes—
707C2×C4#38814yes—
708C2×C4#38814yes—
709C2×C4#39414yes—
710C2×C4#39414yes—
711C2×C4#39412yes—
712C2×C4#39412yes—
713C2×C4#39412yes—
714C2×C4#39412yes—
715C2×C4#39414yes—
716C2×C4#39714yes—
717C2×C4#39714yes—
718C2×C4#39714yes—
719C2×C4#39714yes—
720C2×C4#39714yes—
721C2×C4#39714yes—
722C2×C4#39714yes—
723C2×C4C22×C22⋊C411yescharacteristic
724C2×C4C2×#11711yescharacteristic
725C2×C4C2×#11711yescharacteristic
726C2×C4C2×C4×D411yescharacteristic
727C2×C4C2×C4×D411yescharacteristic
728C2×C4C2×C4×D411yescharacteristic
729C2×C4C2×#12011yescharacteristic
730C2×C4C2×#12111yescharacteristic
731C2×C4C2×#12111yescharacteristic
732C2×C4C2×#12111yescharacteristic
733C2×C4C2×#12111yescharacteristic
734C2×C4C2×#12111yescharacteristic
735C2×C4C2×#12311yescharacteristic
736C2×C4C2×#12311yescharacteristic
737C2×C4C2×#12311yescharacteristic
738C2×C4C2×#12311yescharacteristic
739C2×C4C2×#12311yescharacteristic
740C2×C4C2×#12311yescharacteristic
741C2×C4C2×#12311yescharacteristic
742C2×C4C2×#12311yescharacteristic
743C2×C4C2×#12311yescharacteristic
744C2×C4C2×#12411yescharacteristic
745C2×C4C2×#12411yescharacteristic
746C2×C4C2×#12411yescharacteristic
747C2×C4C2×#12611yescharacteristic
748C2×C4C2×#12611yescharacteristic
749C2×C4C2×#12611yescharacteristic
750C2×C4C2×#12611yescharacteristic
751C8—44no—
752C8—44no—
753C22—21no—
754C22—21no—
755C22—22no—
756C22—22no—
757C22—21no—
758C22—22no—
759C22—21no—
760C22—22no—
761C22—22no—
762C22—24no—
763C22—22no—
764C22—24no—
765C22—22no—
766C22—22no—
767C22—24no—
768C22—24no—
769C22—44no—
770C22—44no—
771C22—44no—
772C22—44no—
773C22—44no—
774C22—48no—
775C22—816no—
776C22—82no—
777C22—82no—
778C22—84no—
779C22#144014yes—
780C22#144014yes—
781C22C2×#38611yescharacteristic
782C22C2×#38811yescharacteristic
783C22C2×#38811yescharacteristic
784C22C2×#39411yescharacteristic
785C22C2×#39411yescharacteristic
786C22C2×#39411yescharacteristic
787C22C2×#39711yescharacteristic
788C22#301912yes—
789C22#302012yes—
790C4—44no—
791C4—84no—
792C4—84no—
793C4—84no—
794C4—84no—
795C4#144014yes—
796C4#144014yes—
797C4C2×#38111yescharacteristic
798C4C2×#38611yescharacteristic
799C4C2×#38811yescharacteristic
800C4C2×#38811yescharacteristic
801C4C2×#39411yescharacteristic
802C4C2×#39711yescharacteristic
803C4C2×#39711yescharacteristic
804C4C2×#39711yescharacteristic
805C2—21no—
806C2—24no—
807C2—21no—
808C2—24no—
809C2—21no—
810C2—21no—
811C2—84no—
812C2C2×#144011yescharacteristic
813C2#2094312yes—
814C2#2349311yescharacteristic
815C2#2349411yescharacteristic
816C2#2349912yes—
subgroupG/H
center, socleC23C2×#120
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC23×#41C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C24×C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
4. C22×#343C2semidirect
5. #20347C2semidirect
6. C2×#1733C2semidirect
7. #13795C2semidirect
8. #11195C2semidirect
21. #2896C4semidirect
35. C2×#343C22semidirect
37. #1736C22semidirect
40. C2×#339C22semidirect
42. C4⋊#95C22semidirect
133. #417C2×C4semidirect

Maximal subgroups

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

subgroupindex
C22×#4212
C2×#28962
C2×#23112
C22×#3432
#203472
C2×#17332
#137952
#111952