Finite Group Databasebeta

← #556189

Subgroups — #556189

Order 512.

4158 conjugacy classes of subgroups.

The subgroup lattice has 786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#539C211yesmaximal, characteristic
2C2×#2316C211yesmaximal, characteristic, complemented
3C22×#387C211yesmaximal, characteristic, complemented
4#14702C211yesmaximal, characteristic, complemented
5#14698C211yesmaximal, characteristic
6#14493C214yesmaximal, complemented
7#14451C214yesmaximal, complemented
8#14362C214yesmaximal, complemented
9#14360C214yesmaximal, complemented
10#14281C211yesmaximal, characteristic, complemented
11#14271C211yesmaximal, characteristic
12#14135C212yesmaximal, complemented
13#14135C212yesmaximal, complemented
14#13960C212yesmaximal, complemented
15#13872C212yesmaximal, complemented
16C2×#539—28no—
17C2×#539—28no—
18C2×#539C4116yescomplemented
19C22×#126C2212yes—
20C22×#125C2212yes—
21C22×#123C2212yes—
22C22×#123C2212yes—
23C22×C22⋊Q8C2211yescharacteristic
24C22×C22⋊Q8C2212yes—
25C22×#121C2211yescharacteristic
26C22×C4×D4C2212yes—
27C22×#117C2212yes—
28C23×C4⋊C4C2211yescharacteristic
29C23×C4⋊C4C2211yescharacteristic
30C23×C42C2211yescharacteristic
31#2316—28no—
32C2×#391C2212yes—
33C2×#390C2212yes—
34C2×#389C2214yes—
35C2×#389C2214yes—
36C2×#387—28no—
37C2×#387C2214yes—
38C2×#387C2214yes—
39C2×#386C2212yes—
40C2×#386C2212yes—
41C2×#386C2212yes—
42C2×#386C2212yes—
43C2×#380C2212yes—
44C2×#380C2211yescharacteristic
45C2×#380C2211yescharacteristic
46C2×#380C2214yes—
47C22×#95C2211yescharacteristic
48C22×#95C2211yescharacteristic
49C22×#95C2211yescharacteristic
50C22×#95C2211yescharacteristic
51#1446C2212yes—
52#1445C2212yes—
53#1445C2212yes—
54#1441C2214yes—
55#1441C2214yes—
56#1441C2214yes—
57#1441C2214yes—
58#1441C2214yes—
59#1439C2214yes—
60#1439C2214yes—
61#1439C2214yes—
62#1439C2214yes—
63#1439C2214yes—
64#1438C2212yes—
65#1437C2214yes—
66#1437C2214yes—
67#1437C2214yes—
68#1436C2214yes—
69#1436C2214yes—
70#1436C2214yes—
71C4⋊#95C2214yes—
72C4⋊#95C2212yes—
73C4⋊#95C2212yes—
74#1434C2214yes—
75C22⋊#95C2214yes—
76C22⋊#95C2212yes—
77C22⋊#95C2212yes—
78C22⋊#95C2212yes—
79C22⋊#95C2212yes—
80C23×Q8C2311yescharacteristic
81C23×D4C2312yes—
82C23×D4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2312yes—
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91#539—2128no—
92C2×#126—28no—
93C2×#126—28no—
94C2×#126C2×C4116yescomplemented
95C2×#125—28no—
96C2×#125—28no—
97C2×#125C2×C4116yescomplemented
98C2×#123—28no—
99C2×#123—28no—
100C2×#123—28no—
101C2×#123—28no—
102C2×#123C2×C4116yes—
103C2×#123C2×C4116yescomplemented
104C2×C22⋊Q8—24no—
105C2×C22⋊Q8—24no—
106C2×C22⋊Q8—28no—
107C2×C22⋊Q8—28no—
108C2×C22⋊Q8C2×C418yes—
109C2×C22⋊Q8C2×C4116yescomplemented
110C2×#121—24no—
111C2×#121—24no—
112C2×#121C2×C418yes—
113C2×C4×D4—28no—
114C2×C4×D4—28no—
115C2×C4×D4C2×C4116yes—
116C2×#117—28no—
117C2×#117—44no—
118C2×#117—44no—
119C22×C4⋊C4—24no—
120C22×C4⋊C4—44no—
121C22×C4⋊C4C2×C418yes—
122C22×C4⋊C4D418yes—
123C22×C4⋊C4D418yes—
124C22×C4⋊C4C2314yes—
125C22×C4⋊C4C2312yes—
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2312yes—
128C22×C4⋊C4C2312yes—
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2312yes—
131C22×C4⋊C4C2314yes—
132C22×C4⋊C4C2312yes—
133C22×C4⋊C4C2314yes—
134C22×C4⋊C4C2312yes—
135C22×C4⋊C4C2312yes—
136C22×C4⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2312yes—
143C22×C22⋊C4C2312yes—
144C22×C22⋊C4C2314yes—
145C22×C22⋊C4C2314yes—
146C22×C22⋊C4C2314yes—
147C22×C22⋊C4C2314yes—
148C22×C42—24no—
149C22×C42—44no—
150C22×C42C2312yes—
151C22×C42C2312yes—
152C22×C42C2312yes—
153C22×C42C2314yes—
154#391—44no—
155#390—44no—
156#389—216no—
157#389—216no—
158#387—216no—
159#387—216no—
160#386—44no—
161#386—44no—
162#386—44no—
163#386—44no—
164#380—28no—
165#380—24no—
166#380—24no—
167#380—48no—
168C2×#95—24no—
169C2×#95—24no—
170C2×#95—24no—
171C2×#95—24no—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2312yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2314yes—
192C25C2412yes—
193C25C2411yescharacteristic
194C22×Q8—22no—
195C22×Q8—22no—
196C22×Q8—42no—
197C22×Q8—42no—
198C22×Q8C22×C414yes—
199C22×D4—24no—
200C22×D4—24no—
201C22×D4—24no—
202C22×D4—24no—
203C22×D4—24no—
204C22×D4—24no—
205C22×D4—22no—
206C22×D4—22no—
207C22×D4—42no—
208C22×D4—42no—
209C22×D4C22×C418yes—
210C22×D4C22×C414yes—
211C23×C4—22no—
212C23×C4—22no—
213C23×C4—22no—
214C23×C4—22no—
215C23×C4—22no—
216C23×C4—22no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—42no—
232C23×C4—42no—
233C23×C4—42no—
234C23×C4—42no—
235C23×C4—42no—
236C23×C4—42no—
237C23×C4—42no—
238C23×C4—44no—
239C23×C4—42no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4—44no—
243C23×C4C22×C414yes—
244C23×C4C22×C418yes—
245C23×C4C22×C414yes—
246C23×C4C22×C414yes—
247C23×C4C2×D414yes—
248C23×C4C2×D414yes—
249C23×C4C2×D414yes—
250C23×C4C2×D414yes—
251C23×C4C2×D414yes—
252C23×C4C2×D414yes—
253C23×C4C2414yes—
254C23×C4C2414yes—
255C23×C4C2412yes—
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2412yes—
259C23×C4C2412yes—
260C23×C4C2412yes—
261C23×C4C2412yes—
262C23×C4C2412yes—
263C23×C4C2411yescharacteristic
264C23×C4C2412yes—
265C23×C4C2411yescharacteristic
266#126—264no—
267#125—264no—
268#123—264no—
269#123—264no—
270C22⋊Q8—232no—
271C22⋊Q8—264no—
272#121—232no—
273C4×D4—264no—
274#117—432no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—22no—
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—24no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—28no—
288C2×C4⋊C4—28no—
289C2×C4⋊C4—28no—
290C2×C4⋊C4—28no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—416no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4—42no—
299C2×C4⋊C4—42no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—42no—
302C2×C4⋊C4—42no—
303C2×C4⋊C4C22⋊C4164yescomplemented
304C2×C4⋊C4C22×C418yes—
305C2×C4⋊C4C22×C414yes—
306C2×C4⋊C4C22×C418yes—
307C2×C4⋊C4C22×C414yes—
308C2×C4⋊C4C22×C418yes—
309C2×C4⋊C4C22×C418yes—
310C2×C4⋊C4C22×C418yes—
311C2×C4⋊C4C22×C418yes—
312C2×C4⋊C4C2×D418yes—
313C2×C4⋊C4C2×D418yes—
314C2×C4⋊C4C2×D418yes—
315C2×C4⋊C4C2×D418yes—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—28no—
333C2×C22⋊C4—28no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4C22×C418yes—
345C2×C22⋊C4C22×C418yes—
346C2×C22⋊C4C22×C418yes—
347C2×C22⋊C4C22×C418yes—
348C2×C22⋊C4C22×C418yes—
349C2×C42—24no—
350C2×C42—24no—
351C2×C42—28no—
352C2×C42—24no—
353C2×C42—24no—
354C2×C42—24no—
355C2×C42—24no—
356C2×C42—44no—
357C2×C42—44no—
358C2×C42—42no—
359C2×C42—42no—
360C2×C42—416no—
361C2×C42C22×C418yes—
362#95—28no—
363#95—28no—
364#95—28no—
365#95—24no—
366#95—24no—
367#95—28no—
368#95—24no—
369#95—24no—
370#95—28no—
371#95—28no—
372#95—44no—
373#95—44no—
374#95—44no—
375#95—44no—
376#95—44no—
377#95—44no—
378#95—44no—
379#95—44no—
380#95—44no—
381#95—44no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—24no—
389C24—22no—
390C24—22no—
391C24—24no—
392C24—22no—
393C24—22no—
394C24—24no—
395C24—24no—
396C24C23×C414yes—
397C24C23×C412yes—
398C24C22×D412yes—
399C24C22×D412yes—
400C24H(5,𝔽2)12yes—
401C24H(5,𝔽2)12yes—
402C242−1+412yes—
403C242−1+412yes—
404C24C2511yescharacteristic
405C2×Q8—28no—
406C2×Q8—48no—
407C2×Q8—82no—
408C2×Q8—82no—
409C2×Q8—84no—
410C2×D4—216no—
411C2×D4—216no—
412C2×D4—216no—
413C2×D4—28no—
414C2×D4—48no—
415C2×D4—48no—
416C2×D4—48no—
417C2×D4—48no—
418C2×D4—48no—
419C2×D4—82no—
420C2×D4—82no—
421C2×D4—84no—
422C22×C4—28no—
423C22×C4—28no—
424C22×C4—28no—
425C22×C4—28no—
426C22×C4—28no—
427C22×C4—28no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—24no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—24no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—28no—
439C22×C4—28no—
440C22×C4—22no—
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—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—24no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—216no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—48no—
494C22×C4—48no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—416no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—84no—
515C22×C4—84no—
516C22×C4—88no—
517C22×C4—84no—
518C22×C4—84no—
519C22×C4—84no—
520C22×C4—84no—
521C22×C4C2×C22⋊C4116yes—
522C22×C4C2×C22⋊C4116yes—
523C22×C4C2×C22⋊C4116yes—
524C22×C4C23×C414yes—
525C22×C4C23×C414yes—
526C22×C4C23×C414yes—
527C22×C4C23×C414yes—
528C22×C4C23×C414yes—
529C22×C4C23×C412yes—
530C22×C4C23×C412yes—
531C22×C4C22×D414yes—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D414yes—
535C22×C4C22×D414yes—
536C22×C4C22×D412yes—
537C22×C4C22×D412yes—
538C22×C4C22×D414yes—
539C22×C4H(5,𝔽2)14yes—
540C22×C42−1+414yes—
541C4⋊C4—216no—
542C4⋊C4—28no—
543C4⋊C4—216no—
544C4⋊C4—216no—
545C4⋊C4—28no—
546C4⋊C4—216no—
547C4⋊C4—416no—
548C4⋊C4—416no—
549C4⋊C4—88no—
550C4⋊C4—84no—
551C4⋊C4—84no—
552C4⋊C4C2×C22⋊C4132yes—
553C4⋊C4C2×C22⋊C4132yes—
554C22⋊C4—216no—
555C22⋊C4—216no—
556C22⋊C4—216no—
557C22⋊C4—216no—
558C22⋊C4—216no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—88no—
562C22⋊C4—88no—
563C22⋊C4—88no—
564C22⋊C4—88no—
565C42—216no—
566C42—48no—
567C42—48no—
568C42—416no—
569C23—24no—
570C23—24no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—28no—
589C23—28no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23C22×C22⋊C414yes—
609C23#52014yes—
610C23#52014yes—
611C23#53514yes—
612C23#53614yes—
613C23#53714yes—
614C23#53714yes—
615C23C24×C411yescharacteristic
616C23C23×D411yescharacteristic
617C23C23×D411yescharacteristic
618C23C2×H(5,𝔽2)11yescharacteristic
619C23C2×H(5,𝔽2)11yescharacteristic
620C23C2×H(5,𝔽2)12yes—
621C23C2×2−1+411yescharacteristic
622C23C2×2−1+411yescharacteristic
623C23C2×2−1+412yes—
624C23#58512yes—
625C23#58512yes—
626Q8—88no—
627D4—432no—
628D4—88no—
629C2×C4—232no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—28no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—28no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—28no—
654C2×C4—28no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—416no—
662C2×C4—416no—
663C2×C4—416no—
664C2×C4—416no—
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—42no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—816no—
708C2×C4—88no—
709C2×C4—88no—
710C2×C4C22×C22⋊C418yes—
711C2×C4C22×C22⋊C418yes—
712C2×C4C22×C22⋊C414yes—
713C2×C4C22×C22⋊C414yes—
714C22—24no—
715C22—24no—
716C22—24no—
717C22—24no—
718C22—28no—
719C22—28no—
720C22—28no—
721C22—28no—
722C22—24no—
723C22—24no—
724C22—48no—
725C22—48no—
726C22—44no—
727C22—44no—
728C22—44no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—84no—
734C22—84no—
735C22#231118yes—
736C22C23×C22⋊C411yescharacteristic
737C22C2×#52011yescharacteristic
738C22C2×#52011yescharacteristic
739C22C4×H(5,𝔽2)12yes—
740C22C4×2−1+412yes—
741C22C2×#53511yescharacteristic
742C22C2×#53611yescharacteristic
743C22C2×#53711yescharacteristic
744C22C2×#53711yescharacteristic
745C22#348411yescharacteristic
746C22#348511yescharacteristic
747C22#348611yescharacteristic
748C22#348711yescharacteristic
749C22#349612yes—
750C22#349712yes—
751C22#353412yes—
752C22#353512yes—
753C22#353612yes—
754C22#353812yes—
755C22#355912yes—
756C22#356012yes—
757C22#356312yes—
758C22#356412yes—
759C4—28no—
760C4—24no—
761C4—24no—
762C4—28no—
763C4—44no—
764C4—44no—
765C4—44no—
766C4—44no—
767C4—44no—
768C4—82no—
769C4—82no—
770C4—84no—
771C4—84no—
772C2—28no—
773C2—84no—
774C2C2×#231111yescharacteristic
775C2#3425611yescharacteristic
776C2#3425711yescharacteristic
777C2#3442512yes—
778C2#3442712yes—
779C2#3671911yescharacteristic
780C2#3672211yescharacteristic
781C2#3674112yes—
782C2#3674212yes—
783C2#3696811yescharacteristic
784C2#3697111yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC22×#121C22
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×#2316C2semidirect
3. C22×#387C2semidirect
4. #14702C2semidirect
6. #14493C2semidirect
7. #14451C2semidirect
8. #14362C2semidirect
9. #14360C2semidirect
10. #14281C2semidirect
12. #14135C2semidirect
13. #14135C2semidirect
14. #13960C2semidirect
15. #13872C2semidirect
18. C2×#539C4semidirect
94. C2×#126C2×C4semidirect
97. C2×#125C2×C4semidirect
103. C2×#123C2×C4semidirect
109. C2×C22⋊Q8C2×C4semidirect
303. C2×C4⋊C4C22⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×#5392
C2×#23162
C22×#3872
#147022
#146982
#144932
#144512
#143622
#143602
#142812
#142712
#141352
#139602
#138722