Finite Group Databasebeta

← #5956093

Subgroups — #5956093

Order 512.

4126 conjugacy classes of subgroups.

The subgroup lattice has 819 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2317C211yesmaximal, characteristic, complemented
2C2×#2280C211yesmaximal, characteristic
3C2×#2280C211yesmaximal, characteristic
4C22×#380C211yesmaximal, characteristic
5#15233C212yesmaximal, complemented
6#15233C212yesmaximal, complemented
7#15195C212yesmaximal, complemented
8#15183C214yesmaximal, complemented
9#15150C212yesmaximal, complemented
10#15132C214yesmaximal, complemented
11#14919C214yesmaximal, complemented
12#14727C214yesmaximal
13#13795C211yesmaximal, characteristic, complemented
14#13795C211yesmaximal, characteristic, complemented
15#13795C211yesmaximal, characteristic, complemented
16C25×C4C2211yescharacteristic
17C22×#117C2211yescharacteristic
18C22×#117C2211yescharacteristic
19C22×#117C2211yescharacteristic
20C22×#117C2211yescharacteristic
21C23×C4⋊C4C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C23×C22⋊C4C2212yes—
24C2×#397C2218yes—
25#2317—28no—
26C2×#389C2214yescomplemented
27C2×#385C2214yes—
28C2×#384C2212yescomplemented
29C2×#382C2212yescomplemented
30#2280—28no—
31#2280—28no—
32C2×#381C2212yes—
33C2×#381C2212yes—
34C2×#380—28no—
35C2×#380C2212yes—
36C2×#380C2212yes—
37C2×#380C2211yescharacteristic
38C2×#380C2212yes—
39C2×#380C2212yes—
40C2×#380C2212yes—
41C2×#380C2211yescharacteristic
42C2×#380C2212yes—
43C2×#380C2211yescharacteristic
44C2×#380C2211yescharacteristic
45C2×#379C2212yes—
46C2×#379C2212yes—
47C2×C4×C22⋊C4C2212yes—
48C2×C4×C22⋊C4C2212yes—
49C2×C4×C22⋊C4C2212yes—
50C2×C4×C22⋊C4C2212yes—
51C22×#95C2212yes—
52#1445C2218yescomplemented
53#1443C2218yescomplemented
54#1443C2218yescomplemented
55#1442C2218yescomplemented
56#1440C2218yes—
57#1440C2218yes—
58#1439C2218yes—
59C4⋊#95C2214yescomplemented
60C4⋊#95C2214yescomplemented
61C4⋊#95C2214yescomplemented
62C4⋊#95C2212yescomplemented
63C4⋊#95C2212yescomplemented
64C4⋊#95C2212yescomplemented
65C4⋊#95C2212yescomplemented
66C4⋊#95C2212yescomplemented
67C4⋊#95C2212yescomplemented
68C22⋊#95C2214yes—
69C22⋊#95C2214yes—
70C22⋊#95C2214yes—
71C26C2311yescharacteristic
72C24×C4—24no—
73C24×C4—24no—
74C24×C4—24no—
75C24×C4—24no—
76C24×C4—24no—
77C24×C4—24no—
78C24×C4D418yes—
79C24×C4C2311yescharacteristic
80C24×C4C2311yescharacteristic
81C24×C4C2311yescharacteristic
82C24×C4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C24×C4C2312yes—
85C24×C4C2312yes—
86C24×C4C2311yescharacteristic
87C2×#117—24no—
88C2×#117—24no—
89C2×#117—24no—
90C2×#117—24no—
91C2×#117—24no—
92C2×#117—24no—
93C2×#117—24no—
94C2×#117—24no—
95C2×#117—24no—
96C2×#117—24no—
97C2×#117—24no—
98C2×#117D418yes—
99C22×C4⋊C4—24no—
100C22×C4⋊C4—24no—
101C22×C4⋊C4—24no—
102C22×C4⋊C4—24no—
103C22×C4⋊C4—24no—
104C22×C4⋊C4—24no—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2312yes—
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2318yes—
116C22×C22⋊C4—28no—
117C22×C22⋊C4—48no—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C42C2312yes—
131C22×C42C2312yes—
132C22×C42C2312yes—
133C22×C42C2312yes—
134#397—416no—
135#389—216no—
136#385—216no—
137#384—28no—
138#382—28no—
139#381—28no—
140#381—28no—
141#380—28no—
142#380—28no—
143#380—28no—
144#380—28no—
145#380—24no—
146#380—24no—
147#380—24no—
148#380—24no—
149#380—28no—
150#380—28no—
151#379—28no—
152#379—28no—
153C4×C22⋊C4—28no—
154C4×C22⋊C4—28no—
155C4×C22⋊C4—28no—
156C4×C22⋊C4—28no—
157C2×#95—28no—
158C2×#95C2318yes—
159C2×#95C2312yes—
160C2×#95C2314yes—
161C2×#95C2314yes—
162C2×#95C2312yes—
163C2×#95C2312yes—
164C2×#95C2314yes—
165C2×#95C2314yes—
166C2×#95C2312yes—
167C2×#95C2318yes—
168C2×#95C2318yes—
169C2×#95C2318yes—
170C2×#95C2318yes—
171C2×#95C2318yes—
172C2×#95C2318yes—
173C25—22no—
174C25—22no—
175C25—24no—
176C25—24no—
177C25—22no—
178C25—22no—
179C25—22no—
180C25—22no—
181C25—42no—
182C25—42no—
183C25C2×D414yes—
184C25C2411yescharacteristic
185C25C2411yescharacteristic
186C25C2411yescharacteristic
187C23×C4—22no—
188C23×C4—22no—
189C23×C4—22no—
190C23×C4—22no—
191C23×C4—22no—
192C23×C4—22no—
193C23×C4—232no—
194C23×C4—232no—
195C23×C4—232no—
196C23×C4—22no—
197C23×C4—22no—
198C23×C4—22no—
199C23×C4—22no—
200C23×C4—22no—
201C23×C4—22no—
202C23×C4—22no—
203C23×C4—22no—
204C23×C4—22no—
205C23×C4—22no—
206C23×C4—22no—
207C23×C4—22no—
208C23×C4—22no—
209C23×C4—22no—
210C23×C4—22no—
211C23×C4—22no—
212C23×C4—22no—
213C23×C4—22no—
214C23×C4—22no—
215C23×C4—22no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—22no—
219C23×C4—22no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—44no—
227C23×C4—44no—
228C23×C4—44no—
229C23×C4—44no—
230C23×C4—416no—
231C23×C4—416no—
232C23×C4—416no—
233C23×C4—416no—
234C23×C4C2×D414yes—
235C23×C4C2×D414yes—
236C23×C4C2×D414yes—
237C23×C4C2×D414yes—
238C23×C4C2×D414yes—
239C23×C4C2×D414yes—
240C23×C4C2×D414yes—
241C23×C4#4114yes—
242C23×C4#4114yes—
243C23×C4#4114yes—
244C23×C4#4114yes—
245C23×C4#4114yes—
246C23×C4C2412yes—
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2414yes—
250C23×C4C2412yes—
251C23×C4C2414yes—
252C23×C4C2414yes—
253C23×C4C2414yes—
254C23×C4C2411yescharacteristic
255C23×C4C2411yescharacteristic
256C23×C4C2411yescharacteristic
257C23×C4C2411yescharacteristic
258#117—232no—
259#117—416no—
260#117—416no—
261#117—416no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
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—22no—
276C2×C4⋊C4—22no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—216no—
292C2×C4⋊C4—416no—
293C2×C4⋊C4—416no—
294C2×C4⋊C4—48no—
295C2×C4⋊C4—48no—
296C2×C4⋊C4C2×D418yes—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—216no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—48no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—432no—
327C2×C22⋊C4C2×D418yes—
328C2×C42—24no—
329C2×C42—24no—
330C2×C42—24no—
331C2×C42—24no—
332C2×C42—24no—
333C2×C42—24no—
334C2×C42—24no—
335C2×C42—24no—
336C2×C42—24no—
337C2×C42—24no—
338C2×C42—24no—
339C2×C42C2×D418yes—
340#95—28no—
341#95—28no—
342#95—28no—
343#95—28no—
344#95—24no—
345#95—24no—
346#95—24no—
347#95—24no—
348#95—216no—
349#95—48no—
350#95—48no—
351#95—48no—
352#95—48no—
353#95—48no—
354#95—48no—
355C24—22no—
356C24—22no—
357C24—22no—
358C24—22no—
359C24—216no—
360C24—216no—
361C24—28no—
362C24—28no—
363C24—28no—
364C24—21no—
365C24—21no—
366C24—21no—
367C24—21no—
368C24—21no—
369C24—21no—
370C24—21no—
371C24—21no—
372C24—21no—
373C24—21no—
374C24—21no—
375C24—21no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—28no—
383C24—28no—
384C24—44no—
385C24—44no—
386C24—48no—
387C24—48no—
388C24—48no—
389C24—48no—
390C24—48no—
391C24—48no—
392C24—48no—
393C24—48no—
394C24—48no—
395C24—48no—
396C24—44no—
397C24—44no—
398C24—44no—
399C24—44no—
400C24C22×D412yes—
401C24C22×D412yes—
402C24C22×D412yes—
403C24C22×D412yes—
404C24C2×#4112yes—
405C24C2×#4112yes—
406C24C2×#4112yes—
407C24C2×#4112yes—
408C24C2×#4112yes—
409C24H(5,𝔽2)14yes—
410C242−1+414yes—
411C24C2511yescharacteristic
412C22×C4—28no—
413C22×C4—28no—
414C22×C4—28no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—24no—
418C22×C4—24no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—24no—
430C22×C4—24no—
431C22×C4—24no—
432C22×C4—24no—
433C22×C4—28no—
434C22×C4—28no—
435C22×C4—28no—
436C22×C4—28no—
437C22×C4—28no—
438C22×C4—28no—
439C22×C4—28no—
440C22×C4—28no—
441C22×C4—28no—
442C22×C4—28no—
443C22×C4—28no—
444C22×C4—28no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—28no—
469C22×C4—24no—
470C22×C4—28no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—28no—
480C22×C4—28no—
481C22×C4—24no—
482C22×C4—44no—
483C22×C4—44no—
484C22×C4—44no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—44no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—4128no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—88no—
510C22×C4—88no—
511C22×C4—88no—
512C22×C4—88no—
513C22×C4#121116yes—
514C22×C4#123116yes—
515C22×C4#123116yes—
516C22×C4#123116yes—
517C22×C4#124116yes—
518C22×C4#126116yes—
519C22×C4#126116yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D418yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C2×#4112yes—
528C22×C4C2×#4112yes—
529C22×C4C2×#4112yes—
530C22×C4C2×#4112yes—
531C22×C4C2×#4112yes—
532C22×C4C2×#4112yes—
533C22×C4C2×#4112yes—
534C22×C4C2×#4112yes—
535C22×C4C2×#4112yes—
536C22×C4C2×#4112yes—
537C4⋊C4—216no—
538C4⋊C4—48no—
539C4⋊C4—48no—
540C4⋊C4—44no—
541C4⋊C4—44no—
542C4⋊C4—48no—
543C4⋊C4—48no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—48no—
547C4⋊C4—816no—
548C22⋊C4—216no—
549C22⋊C4—416no—
550C22⋊C4—416no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—416no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—416no—
559C22⋊C4—48no—
560C42—216no—
561C42—48no—
562C42—48no—
563C42—48no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—232no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—24no—
605C23—416no—
606C23—416no—
607C23—416no—
608C23—416no—
609C23—416no—
610C23—432no—
611C23—432no—
612C23—432no—
613C23—432no—
614C23—416no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23C2×#12114yes—
636C23C2×#12314yes—
637C23C2×#12314yes—
638C23C2×#12314yes—
639C23C2×#12414yes—
640C23C2×#12614yes—
641C23C2×#12614yes—
642C23#53514yes—
643C23#53614yes—
644C23C23×D411yescharacteristic
645C23C23×D411yescharacteristic
646C23C22×#4111yescharacteristic
647C23C22×#4111yescharacteristic
648C23C22×#4111yescharacteristic
649C23C22×#4111yescharacteristic
650C23C22×#4111yescharacteristic
651C23C2×H(5,𝔽2)12yes—
652C23C2×2−1+412yes—
653C23#58512yes—
654C23#58512yes—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—28no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—28no—
663C2×C4—28no—
664C2×C4—416no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—416no—
678C2×C4—416no—
679C2×C4—416no—
680C2×C4—416no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—48no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—48no—
714C2×C4—48no—
715C2×C4—48no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—816no—
719C2×C4—816no—
720C2×C4#397164yescomplemented
721C2×C4C2×#12114yes—
722C2×C4C2×#12114yes—
723C2×C4C2×#12314yes—
724C2×C4C2×#12314yes—
725C2×C4C2×#12314yes—
726C2×C4C2×#12314yes—
727C2×C4C2×#12314yes—
728C2×C4C2×#12314yes—
729C2×C4C2×#12414yes—
730C2×C4C2×#12414yes—
731C2×C4C2×#12614yes—
732C2×C4C2×#12614yes—
733C2×C4C2×#12614yes—
734C2×C4C2×#12614yes—
735C22—24no—
736C22—24no—
737C22—24no—
738C22—28no—
739C22—24no—
740C22—28no—
741C22—28no—
742C22—28no—
743C22—24no—
744C22—24no—
745C22—24no—
746C22—24no—
747C22—24no—
748C22—24no—
749C22—24no—
750C22—24no—
751C22—464no—
752C22—42no—
753C22—42no—
754C22—42no—
755C22—44no—
756C22—44no—
757C22—42no—
758C22—44no—
759C22—44no—
760C22—44no—
761C22—44no—
762C22—44no—
763C22—44no—
764C22—42no—
765C22—42no—
766C22—42no—
767C22—42no—
768C22C2×#39718yes—
769C22C22×#12111yescharacteristic
770C22C22×#12311yescharacteristic
771C22C22×#12311yescharacteristic
772C22C22×#12311yescharacteristic
773C22C22×#12411yescharacteristic
774C22C22×#12611yescharacteristic
775C22C22×#12611yescharacteristic
776C22C2×#53511yescharacteristic
777C22C2×#53611yescharacteristic
778C22#344911yescharacteristic
779C22#344911yescharacteristic
780C22#348812yes—
781C22#348912yes—
782C22#349212yes—
783C22#349212yes—
784C22#349312yes—
785C22#349312yes—
786C22#349412yes—
787C22#349412yes—
788C22#349412yes—
789C22#349512yes—
790C22#349512yes—
791C22#349512yes—
792C4—48no—
793C4—42no—
794C4—42no—
795C4—82no—
796C4—82no—
797C4—82no—
798C4—84no—
799C4—84no—
800C4—84no—
801C4—82no—
802C4C2×#39718yes—
803C4C2×#39718yes—
804C2—28no—
805C2—44no—
806C2—44no—
807C2C22×#39711yescharacteristic
808C2#3515711yescharacteristic
809C2#3522711yescharacteristic
810C2#3525211yescharacteristic
811C2#3526211yescharacteristic
812C2#3530611yescharacteristic
813C2#3531111yescharacteristic
814C2#3551612yes—
815C2#3554212yes—
816C2#3554412yes—
817C2#3554412yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC26C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2317C2semidirect
5. #15233C2semidirect
6. #15233C2semidirect
7. #15195C2semidirect
8. #15183C2semidirect
9. #15150C2semidirect
10. #15132C2semidirect
11. #14919C2semidirect
13. #13795C2semidirect
14. #13795C2semidirect
15. #13795C2semidirect
26. C2×#389C22semidirect
28. C2×#384C22semidirect
29. C2×#382C22semidirect
52. #1445C22semidirect
53. #1443C22semidirect
54. #1443C22semidirect
55. #1442C22semidirect
59. C4⋊#95C22semidirect
60. C4⋊#95C22semidirect
61. C4⋊#95C22semidirect
62. C4⋊#95C22semidirect
63. C4⋊#95C22semidirect
64. C4⋊#95C22semidirect
65. C4⋊#95C22semidirect
66. C4⋊#95C22semidirect
67. C4⋊#95C22semidirect
720. C2×C4#397semidirect

Maximal subgroups

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

subgroupindex
C2×#23172
C2×#22802
C22×#3802
#152332
#151952
#151832
#151502
#151322
#149192
#147272
#137952