Finite Group Databasebeta

← #545384

Subgroups — #545384

Order 512.

3426 conjugacy classes of subgroups.

The subgroup lattice has 799 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2535C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
3C2×#2319C211yesmaximal, characteristic, complemented
4#14630C212yesmaximal, complemented
5#14401C214yesmaximal, complemented
6#14373C214yesmaximal, complemented
7#14324C212yesmaximal, complemented
8#14299C212yesmaximal, complemented
9#14277C211yesmaximal, characteristic, complemented
10#14189C212yesmaximal, complemented
11#14137C212yesmaximal, complemented
12#14130C212yesmaximal, complemented
13#13998C212yesmaximal, complemented
14#13993C212yesmaximal, complemented
15#13906C211yesmaximal, characteristic, complemented
16#13847C211yesmaximal, characteristic, complemented
17#13804C211yesmaximal, characteristic, complemented
18C22×#121C2212yes—
19C22×C4×D4C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C22×C4×D4C2212yes—
22C23×C4⋊C4C2212yes—
23#2535C4116yescomplemented
24C2×#397C2212yes—
25C2×#392C2212yes—
26D4×C4⋊C4—28no—
27#2319—28no—
28C2×#390C2211yescharacteristic
29C2×#390C2211yescharacteristic
30C2×#390C2212yes—
31C2×#390C2214yes—
32C2×#389C2211yescharacteristic
33C2×#389C2211yescharacteristic
34C2×#389C2212yes—
35C2×#389C2212yes—
36C2×#388C2212yes—
37C2×#388C2212yes—
38C2×#386C2214yes—
39C2×#386C2214yes—
40C2×#386C2214yes—
41C2×#385C2214yes—
42C2×#385C2214yes—
43C2×#384C2211yescharacteristic
44C2×#382C2211yescharacteristic
45C2×#381C2212yes—
46C2×#380C2212yes—
47C2×#380C2212yes—
48C2×#380C2214yes—
49C2×#380C2212yes—
50C2×C4×C4⋊C4C2211yescharacteristic
51C2×C4×C4⋊C4C2212yes—
52C2×C4×C4⋊C4C2211yescharacteristic
53C2×C4×C22⋊C4C2212yes—
54C2×C4×C22⋊C4C2212yes—
55C2×#376C2211yescharacteristic
56#1445C2211yescharacteristic
57#1445C2211yescharacteristic
58#1444C2214yes—
59#1444C2212yes—
60#1444C2212yes—
61#1443C2214yes—
62#1442C2212yes—
63#1442C2214yes—
64#1442C2212yes—
65#1439C2212yes—
66#1439C2212yes—
67#1439C2214yes—
68#1439C2214yes—
69#1439C2212yes—
70#1439C2214yes—
71#1439C2214yes—
72#1439C2212yes—
73#1438C2211yescharacteristic
74#1438C2211yescharacteristic
75#1438C2214yes—
76#1437C2214yes—
77#1437C2214yes—
78#1436C2214yes—
79#1436C2214yes—
80C4⋊#95C2212yes—
81C4⋊#95C2212yes—
82C4⋊#95C2212yes—
83#1434C2212yes—
84C22⋊#95C2214yes—
85C4×#95C2212yes—
86C23×D4C2311yescharacteristic
87C23×D4C2311yescharacteristic
88C23×D4C2314yes—
89C24×C4C2312yes—
90C24×C4C2314yes—
91C24×C4C2312yes—
92C2×#121—44no—
93C2×#121—44no—
94C2×#121C2×C4116yescomplemented
95C2×C4×D4—24no—
96C2×C4×D4—24no—
97C2×C4×D4—28no—
98C2×C4×D4—24no—
99C2×C4×D4—24no—
100C2×C4×D4—48no—
101C2×C4×D4C2×C418yes—
102C2×C4×D4C2×C418yescomplemented
103C22×C4⋊C4—28no—
104C22×C4⋊C4—44no—
105C22×C4⋊C4—44no—
106C22×C4⋊C4C2312yes—
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2314yes—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2314yes—
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C42C2311yescharacteristic
135C22×C42C2312yes—
136C22×C42C2311yescharacteristic
137C22×C42C2314yes—
138C22×C42C2312yes—
139C22×C42C2311yescharacteristic
140#397C2×C4116yescomplemented
141#392C2×C4116yes—
142#390—24no—
143#390—24no—
144#390—44no—
145#390—48no—
146#389—24no—
147#389—24no—
148#389—28no—
149#389—44no—
150#388—28no—
151#388—28no—
152#386—48no—
153#386—48no—
154#386C2×C4132yescomplemented
155#385—216no—
156#385—48no—
157#384—24no—
158#382C2×C418yescomplemented
159#381—28no—
160#380—28no—
161#380—28no—
162#380—48no—
163#380C2×C4116yescomplemented
164C4×C4⋊C4—24no—
165C4×C4⋊C4—44no—
166C4×C4⋊C4D418yescomplemented
167C4×C22⋊C4—44no—
168C4×C22⋊C4—44no—
169#376—24no—
170C2×#95C2311yescharacteristic
171C2×#95C2314yes—
172C2×#95C2312yes—
173C2×#95C2311yescharacteristic
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2312yes—
177C2×#95C2311yescharacteristic
178C2×#95C2311yescharacteristic
179C2×#95C2311yescharacteristic
180C2×#95C2311yescharacteristic
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2314yes—
193C2×#95C2312yes—
194C2×#95C2312yes—
195C25C2412yes—
196C25C2412yes—
197C22×D4—24no—
198C22×D4—24no—
199C22×D4—28no—
200C22×D4—28no—
201C22×D4—22no—
202C22×D4—22no—
203C22×D4—22no—
204C22×D4—22no—
205C22×D4—22no—
206C22×D4—22no—
207C22×D4—22no—
208C22×D4—22no—
209C22×D4—44no—
210C22×D4—44no—
211C22×D4—44no—
212C22×D4—44no—
213C22×D4C22×C414yes—
214C22×D4C22×C414yes—
215C22×D4C22×C4116yes—
216C23×C4—24no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—28no—
225C23×C4—28no—
226C23×C4—44no—
227C23×C4—44no—
228C23×C4—44no—
229C23×C4—44no—
230C23×C4—44no—
231C23×C4—44no—
232C23×C4—44no—
233C23×C4C22×C418yes—
234C23×C4C22×C418yes—
235C23×C4C2411yescharacteristic
236C23×C4C2411yescharacteristic
237C23×C4C2412yes—
238C23×C4C2411yescharacteristic
239C23×C4C2411yescharacteristic
240C23×C4C2414yes—
241C23×C4C2412yes—
242C23×C4C2412yes—
243C23×C4C2414yes—
244C23×C4C2412yes—
245C23×C4C2412yes—
246C23×C4C2412yes—
247C23×C4C2411yescharacteristic
248C23×C4C2411yescharacteristic
249C23×C4C2411yescharacteristic
250#121—432no—
251C4×D4—232no—
252C4×D4—232no—
253C4×D4—432no—
254C2×C4⋊C4—22no—
255C2×C4⋊C4—22no—
256C2×C4⋊C4—22no—
257C2×C4⋊C4—22no—
258C2×C4⋊C4—22no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—28no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—432no—
275C2×C4⋊C4—44no—
276C2×C4⋊C4—44no—
277C2×C4⋊C4—42no—
278C2×C4⋊C4—44no—
279C2×C4⋊C4—44no—
280C2×C4⋊C4—44no—
281C2×C4⋊C4—44no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4—44no—
285C2×C4⋊C4C22×C414yes—
286C2×C4⋊C4C22×C414yes—
287C2×C4⋊C4C22×C418yes—
288C2×C4⋊C4C2×D414yes—
289C2×C4⋊C4C2×D414yes—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—44no—
308C2×C22⋊C4—42no—
309C2×C22⋊C4—42no—
310C2×C22⋊C4—44no—
311C2×C22⋊C4—44no—
312C2×C22⋊C4—44no—
313C2×C22⋊C4—42no—
314C2×C22⋊C4—42no—
315C2×C22⋊C4—42no—
316C2×C22⋊C4—42no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4C22×C418yes—
328C2×C22⋊C4C22×C418yes—
329C2×C22⋊C4C22×C4116yes—
330C2×C22⋊C4C22×C4116yes—
331C2×C42—22no—
332C2×C42—22no—
333C2×C42—24no—
334C2×C42—22no—
335C2×C42—22no—
336C2×C42—24no—
337C2×C42—24no—
338C2×C42—22no—
339C2×C42—22no—
340C2×C42—44no—
341C2×C42—44no—
342C2×C42—44no—
343C2×C42—44no—
344C2×C42C22×C414yes—
345C2×C42C2×D418yes—
346C2×C42C2×D414yes—
347C2×C42#4114yes—
348#95—22no—
349#95—22no—
350#95—22no—
351#95—22no—
352#95—28no—
353#95—24no—
354#95—24no—
355#95—22no—
356#95—22no—
357#95—28no—
358#95—28no—
359#95—42no—
360#95—42no—
361#95—42no—
362#95—42no—
363#95—44no—
364#95—44no—
365#95—44no—
366#95—44no—
367#95—44no—
368#95—44no—
369#95C22×C4116yes—
370#95C22×C418yes—
371#95C22×C418yes—
372#95C2×D418yes—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—24no—
388C24—22no—
389C24—24no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—24no—
394C24—24no—
395C24C23×C414yes—
396C24C23×C414yes—
397C24H(5,𝔽2)14yes—
398C242−1+414yes—
399C24C2511yescharacteristic
400C2×D4—28no—
401C2×D4—28no—
402C2×D4—216no—
403C2×D4—216no—
404C2×D4—232no—
405C2×D4—28no—
406C2×D4—28no—
407C2×D4—28no—
408C2×D4—28no—
409C2×D4—416no—
410C2×D4—416no—
411C2×D4—44no—
412C2×D4—44no—
413C2×D4—44no—
414C2×D4—44no—
415C2×D4—88no—
416C2×D4—88no—
417C2×D4—88no—
418C2×D4—88no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—24no—
429C22×C4—24no—
430C22×C4—24no—
431C22×C4—22no—
432C22×C4—24no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—24no—
438C22×C4—24no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—24no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—216no—
454C22×C4—216no—
455C22×C4—216no—
456C22×C4—216no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—416no—
492C22×C4—416no—
493C22×C4—416no—
494C22×C4—48no—
495C22×C4—48no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—88no—
499C22×C4—84no—
500C22×C4—84no—
501C22×C4—88no—
502C22×C4—88no—
503C22×C4—88no—
504C22×C4—88no—
505C22×C4—88no—
506C22×C4C23×C418yes—
507C22×C4C23×C414yes—
508C22×C4C23×C414yes—
509C22×C4C23×C412yes—
510C22×C4C23×C412yes—
511C22×C4C23×C412yes—
512C22×C4C22×D414yes—
513C22×C4C22×D414yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C2×#4112yes—
518C22×C4C2×#4112yes—
519C22×C4C2×#4112yes—
520C22×C4H(5,𝔽2)14yes—
521C22×C4H(5,𝔽2)12yes—
522C22×C4H(5,𝔽2)12yes—
523C22×C4H(5,𝔽2)12yes—
524C22×C42−1+412yes—
525C4⋊C4—28no—
526C4⋊C4—28no—
527C4⋊C4—216no—
528C4⋊C4—28no—
529C4⋊C4—28no—
530C4⋊C4—48no—
531C4⋊C4—416no—
532C4⋊C4—48no—
533C4⋊C4—48no—
534C4⋊C4—84no—
535C4⋊C4—84no—
536C4⋊C4—84no—
537C4⋊C4—88no—
538C22⋊C4—216no—
539C22⋊C4—216no—
540C22⋊C4—416no—
541C22⋊C4—416no—
542C22⋊C4—48no—
543C22⋊C4—48no—
544C22⋊C4—416no—
545C22⋊C4—48no—
546C22⋊C4—48no—
547C22⋊C4—84no—
548C22⋊C4—84no—
549C22⋊C4—84no—
550C22⋊C4—84no—
551C22⋊C4—88no—
552C22⋊C4—88no—
553C42—48no—
554C42—44no—
555C42—44no—
556C42—48no—
557C42—88no—
558C42C4×D4116yes—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
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—28no—
581C23—28no—
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—44no—
605C23—44no—
606C23—42no—
607C23—42no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—44no—
616C23#52018yes—
617C23C24×C411yescharacteristic
618C23C23×D411yescharacteristic
619C23C22×#4111yescharacteristic
620C23C2×H(5,𝔽2)11yescharacteristic
621C23C2×H(5,𝔽2)11yescharacteristic
622C23C2×H(5,𝔽2)11yescharacteristic
623C23C2×H(5,𝔽2)12yes—
624C23C2×H(5,𝔽2)12yes—
625C23C2×2−1+411yescharacteristic
626C23C2×2−1+412yes—
627C23#58512yes—
628D4—232no—
629D4—416no—
630D4—832no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—28no—
643C2×C4—24no—
644C2×C4—28no—
645C2×C4—28no—
646C2×C4—28no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—432no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—44no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—44no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—816no—
711C2×C4—832no—
712C2×C4C2×C4×D414yes—
713C2×C4C2×C4×D414yes—
714C2×C4C2×C4×D414yes—
715C2×C4#51814yes—
716C2×C4#52014yes—
717C2×C4#53514yes—
718C2×C4#53714yes—
719C2×C4#54014yes—
720C2×C4#54214yes—
721C22—28no—
722C22—28no—
723C22—28no—
724C22—44no—
725C22—44no—
726C22—44no—
727C22—44no—
728C22—44no—
729C22—44no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—44no—
734C22—44no—
735C22—44no—
736C22—44no—
737C22—44no—
738C22—48no—
739C22—48no—
740C22—44no—
741C22—84no—
742C22—84no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22C22×C4×D411yescharacteristic
748C22C2×#51811yescharacteristic
749C22C2×#52011yescharacteristic
750C22C2×#52012yes—
751C22C4×H(5,𝔽2)12yes—
752C22C2×#53511yescharacteristic
753C22C2×#53711yescharacteristic
754C22C2×#54011yescharacteristic
755C22C2×#54211yescharacteristic
756C22#348411yescharacteristic
757C22#348611yescharacteristic
758C22#349212yes—
759C22#349412yes—
760C22#349811yescharacteristic
761C22#350011yescharacteristic
762C22#353612yes—
763C22#353712yes—
764C22#354112yes—
765C22#354212yes—
766C22#354312yes—
767C22#355212yes—
768C22#355912yes—
769C22#356112yes—
770C4—24no—
771C4—24no—
772C4—44no—
773C4—44no—
774C4—48no—
775C4—44no—
776C4—44no—
777C4—44no—
778C4—82no—
779C4—81no—
780C4—81no—
781C4—81no—
782C4—81no—
783C4—84no—
784C4#232418yes—
785C2—48no—
786C2—84no—
787C2C2×#232411yescharacteristic
788C2#3420011yescharacteristic
789C2#3427511yescharacteristic
790C2#3446112yes—
791C2#3447612yes—
792C2#4242411yescharacteristic
793C2#4243011yescharacteristic
794C2#4250812yes—
795C2#4251412yes—
796C2#4278811yescharacteristic
797C2#4279411yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC2×#2535C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×D4×C4⋊C4C2semidirect
3. C2×#2319C2semidirect
4. #14630C2semidirect
5. #14401C2semidirect
6. #14373C2semidirect
7. #14324C2semidirect
8. #14299C2semidirect
9. #14277C2semidirect
10. #14189C2semidirect
11. #14137C2semidirect
12. #14130C2semidirect
13. #13998C2semidirect
14. #13993C2semidirect
15. #13906C2semidirect
16. #13847C2semidirect
17. #13804C2semidirect
23. #2535C4semidirect
94. C2×#121C2×C4semidirect
102. C2×C4×D4C2×C4semidirect
140. #397C2×C4semidirect
154. #386C2×C4semidirect
158. #382C2×C4semidirect
163. #380C2×C4semidirect
166. C4×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25352
C2×D4×C4⋊C42
C2×#23192
#146302
#144012
#143732
#143242
#142992
#142772
#141892
#141372
#141302
#139982
#139932
#139062
#138472
#138042