Finite Group Databasebeta

← #539368

Subgroups — #539368

Order 512.

5022 conjugacy classes of subgroups.

The subgroup lattice has 790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#547C211yesmaximal, characteristic
2C2×#2369C211yesmaximal, characteristic, complemented
3C2×#2331C211yesmaximal, characteristic, complemented
4#14449C214yesmaximal, complemented
5#14360C214yesmaximal, complemented
6#14095C214yesmaximal, complemented
7#13998C212yesmaximal, complemented
8#13998C212yesmaximal, complemented
9#13941C211yesmaximal, characteristic, complemented
10#13937C214yesmaximal, complemented
11#13907C212yesmaximal, complemented
12#13905C211yesmaximal, characteristic, complemented
13#13847C211yesmaximal, characteristic, complemented
14C22⋊C4×C4⋊C4C212yesmaximal, complemented
15#13785C211yesmaximal, characteristic, complemented
16C23×#41C2212yes—
17C2×#547—28no—
18C2×#547—28no—
19C2×#547C4116yescomplemented
20C22×C4⋊Q8C2211yescharacteristic
21C22×#123C2214yes—
22C22×C22⋊Q8C2212yes—
23C22×#121C2212yes—
24C22×C4×D4C2211yescharacteristic
25C22×C4×D4C2211yescharacteristic
26C23×C4⋊C4C2212yes—
27#2369—28no—
28#2331—28no—
29C2×#391C2214yes—
30C2×#391C2214yes—
31C2×#390C2211yescharacteristic
32C2×#390C2211yescharacteristic
33C2×#390C2214yes—
34C2×#390C2214yes—
35C2×#390C2212yes—
36C2×#389C2212yes—
37C2×#389C2212yes—
38C2×#389C2212yes—
39C2×#387C2214yes—
40C2×#382C2211yescharacteristic
41C2×#380C2212yes—
42C2×#380C2214yes—
43C2×#380C2212yes—
44C2×C4×C4⋊C4C2212yes—
45C2×C4×C4⋊C4C2211yescharacteristic
46C2×C4×C4⋊C4C2212yes—
47C2×C4×C4⋊C4C2211yescharacteristic
48C2×C4×C4⋊C4C2212yes—
49C2×C4×C22⋊C4C2212yes—
50C2×C4×C22⋊C4C2214yes—
51C2×C4×C22⋊C4C2212yes—
52C2×#376C2211yescharacteristic
53#1445C2212yes—
54#1445C2212yes—
55#1441C2214yes—
56#1441C2214yes—
57#1439C2212yes—
58#1439C2212yes—
59#1439C2212yes—
60#1439C2212yes—
61#1439C2214yes—
62#1439C2214yes—
63#1438C2214yes—
64#1438C2212yes—
65#1438C2214yes—
66#1438C2212yes—
67#1437C2214yes—
68#1437C2214yes—
69#1437C2214yes—
70#1437C2214yes—
71#1436C2214yes—
72#1436C2214yes—
73C4⋊#95C2211yescharacteristic
74C4⋊#95C2212yes—
75C4⋊#95C2211yescharacteristic
76C22⋊#95C2214yes—
77C22⋊#95C2214yes—
78C22⋊#95C2214yes—
79C22⋊#95C2214yes—
80C22×#41—28no—
81C22×#41—28no—
82C22×#41—48no—
83C22×#41—48no—
84C22×#41C2×C4116yes—
85C23×Q8C2312yes—
86C23×D4C2311yescharacteristic
87C23×D4C2311yescharacteristic
88C23×D4C2314yes—
89C24×C4C2312yes—
90C24×C4C2314yes—
91C24×C4C2312yes—
92#547—2128no—
93C2×C4⋊Q8C2×C418yes—
94C2×C4⋊Q8D418yes—
95C2×C4⋊Q8D418yes—
96C2×#123—216no—
97C2×#123—216no—
98C2×#123C2×C4132yes—
99C2×C22⋊Q8—28no—
100C2×C22⋊Q8—28no—
101C2×C22⋊Q8C2×C4116yes—
102C2×#121—28no—
103C2×#121—28no—
104C2×#121C2×C4116yes—
105C2×C4×D4—24no—
106C2×C4×D4—24no—
107C2×C4×D4—24no—
108C2×C4×D4—24no—
109C2×C4×D4C2×C418yes—
110C2×C4×D4C2×C418yes—
111C22×C4⋊C4—28no—
112C22×C4⋊C4—28no—
113C22×C4⋊C4C2×C4116yes—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2314yes—
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2314yes—
123C22×C4⋊C4C2314yes—
124C22×C4⋊C4C2312yes—
125C22×C4⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2314yes—
139C22×C42C2311yescharacteristic
140C22×C42C2312yes—
141C22×C42C2311yescharacteristic
142C22×C42C2314yes—
143C22×C42C2314yes—
144C22×C42C2312yes—
145C22×C42C2311yescharacteristic
146#391—216no—
147#391—216no—
148#390—24no—
149#390—24no—
150#390—44no—
151#390—48no—
152#390—48no—
153#389—28no—
154#389—28no—
155#389—28no—
156#387—216no—
157#382—24no—
158#380—28no—
159#380—48no—
160#380—44no—
161C4×C4⋊C4—28no—
162C4×C4⋊C4—28no—
163C4×C4⋊C4—28no—
164C4×C4⋊C4—24no—
165C4×C4⋊C4—24no—
166C4×C22⋊C4—28no—
167C4×C22⋊C4—44no—
168C4×C22⋊C4—48no—
169#376—24no—
170C2×#95C2312yes—
171C2×#95C2312yes—
172C2×#95C2312yes—
173C2×#95C2312yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2312yes—
179C2×#95C2314yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C2×#95C2312yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2312yes—
188C2×#95C2314yes—
189C2×#95C2312yes—
190C25C2412yes—
191C25C2412yes—
192C2×#41—264no—
193C2×#41—464no—
194C2×#41—432no—
195C2×#41—464no—
196C2×#41—432no—
197C22×Q8—44no—
198C22×Q8—44no—
199C22×Q8C22×C418yes—
200C22×Q8C2×D418yes—
201C22×Q8C2×D418yes—
202C22×D4—24no—
203C22×D4—24no—
204C22×D4—28no—
205C22×D4—28no—
206C22×D4—22no—
207C22×D4—22no—
208C22×D4—22no—
209C22×D4—22no—
210C22×D4—28no—
211C22×D4—28no—
212C22×D4—22no—
213C22×D4—22no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—44no—
217C22×D4—44no—
218C22×D4C22×C414yes—
219C22×D4C22×C414yes—
220C22×D4C22×C4116yes—
221C23×C4—28no—
222C23×C4—28no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—28no—
226C23×C4—28no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—44no—
234C23×C4—44no—
235C23×C4—44no—
236C23×C4—44no—
237C23×C4C22×C418yes—
238C23×C4C22×C4116yes—
239C23×C4C22×C418yes—
240C23×C4C2412yes—
241C23×C4C2412yes—
242C23×C4C2414yes—
243C23×C4C2412yes—
244C23×C4C2412yes—
245C23×C4C2412yes—
246C23×C4C2412yes—
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2411yescharacteristic
250C23×C4C2414yes—
251C23×C4C2411yescharacteristic
252C23×C4C2411yescharacteristic
253C4⋊Q8C22⋊C4164yescomplemented
254#123—2128no—
255C22⋊Q8—264no—
256#121—264no—
257C4×D4—232no—
258C4×D4—232no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—28no—
262C2×C4⋊C4—28no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—264no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—28no—
279C2×C4⋊C4—42no—
280C2×C4⋊C4—44no—
281C2×C4⋊C4—44no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4C22×C414yes—
285C2×C4⋊C4C22×C4116yes—
286C2×C4⋊C4C22×C414yes—
287C2×C4⋊C4C22×C418yes—
288C2×C4⋊C4C22×C418yes—
289C2×C4⋊C4C2×D418yes—
290C2×C4⋊C4C2×D418yes—
291C2×C4⋊C4C2×D418yes—
292C2×C4⋊C4C2×D418yes—
293C2×C4⋊C4#4114yescomplemented
294C2×C22⋊C4—24no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—24no—
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—28no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—28no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—42no—
316C2×C22⋊C4—42no—
317C2×C22⋊C4—42no—
318C2×C22⋊C4—42no—
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⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4C22×C418yes—
331C2×C22⋊C4C22×C418yes—
332C2×C22⋊C4C22×C4116yes—
333C2×C42—22no—
334C2×C42—22no—
335C2×C42—22no—
336C2×C42—24no—
337C2×C42—24no—
338C2×C42—24no—
339C2×C42—22no—
340C2×C42—22no—
341C2×C42—24no—
342C2×C42—28no—
343C2×C42—28no—
344C2×C42—44no—
345C2×C42—44no—
346C2×C42—44no—
347C2×C42—44no—
348C2×C42—44no—
349C2×C42C22×C414yes—
350C2×C42C2×D414yes—
351C2×C42C2×D414yes—
352C2×C42#4114yescomplemented
353#95—24no—
354#95—24no—
355#95—28no—
356#95—28no—
357#95—28no—
358#95—24no—
359#95—24no—
360#95—24no—
361#95—24no—
362#95—28no—
363#95—24no—
364#95—24no—
365#95—28no—
366#95—42no—
367#95—42no—
368#95—44no—
369#95—44no—
370#95—44no—
371#95—44no—
372#95—44no—
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—22no—
388C24—22no—
389C24—22no—
390C24—24no—
391C24—24no—
392C24—24no—
393C24—22no—
394C24—24no—
395C24C23×C414yes—
396C24C23×C414yes—
397C24H(5,𝔽2)14yes—
398C24H(5,𝔽2)14yes—
399C24C2511yescharacteristic
400#41—4256no—
401C2×Q8—416no—
402C2×Q8—48no—
403C2×Q8—416no—
404C2×Q8—48no—
405C2×Q8C2×C22⋊C4132yes—
406C2×D4—28no—
407C2×D4—216no—
408C2×D4—28no—
409C2×D4—216no—
410C2×D4—232no—
411C2×D4—28no—
412C2×D4—28no—
413C2×D4—232no—
414C2×D4—28no—
415C2×D4—28no—
416C2×D4—416no—
417C2×D4—416no—
418C2×D4—416no—
419C2×D4—416no—
420C2×D4—416no—
421C2×D4—44no—
422C2×D4—44no—
423C2×D4—44no—
424C2×D4—44no—
425C22×C4—24no—
426C22×C4—24no—
427C22×C4—24no—
428C22×C4—24no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—232no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—24no—
448C22×C4—24no—
449C22×C4—22no—
450C22×C4—24no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—22no—
460C22×C4—216no—
461C22×C4—232no—
462C22×C4—216no—
463C22×C4—216no—
464C22×C4—216no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—416no—
492C22×C4—416no—
493C22×C4—416no—
494C22×C4—416no—
495C22×C4—416no—
496C22×C4—416no—
497C22×C4—48no—
498C22×C4—416no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4C23×C414yes—
505C22×C4C23×C414yes—
506C22×C4C23×C412yes—
507C22×C4C23×C412yes—
508C22×C4C23×C418yes—
509C22×C4C23×C412yes—
510C22×C4C22×D412yes—
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D418yes—
514C22×C4C22×D418yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C2×#4114yes—
519C22×C4C2×#4114yes—
520C22×C4C2×#4112yes—
521C22×C4C2×#4112yes—
522C22×C4H(5,𝔽2)12yes—
523C22×C42−1+414yes—
524C22×C42−1+412yes—
525C4⋊C4—28no—
526C4⋊C4—28no—
527C4⋊C4—232no—
528C4⋊C4—28no—
529C4⋊C4—28no—
530C4⋊C4—44no—
531C4⋊C4—44no—
532C4⋊C4—48no—
533C4⋊C4—88no—
534C4⋊C4—88no—
535C4⋊C4C2×C22⋊C4132yes—
536C4⋊C4C2×C22⋊C4132yes—
537C22⋊C4—216no—
538C22⋊C4—216no—
539C22⋊C4—216no—
540C22⋊C4—232no—
541C22⋊C4—48no—
542C22⋊C4—416no—
543C22⋊C4—48no—
544C22⋊C4—48no—
545C22⋊C4—88no—
546C22⋊C4—88no—
547C22⋊C4—88no—
548C22⋊C4—88no—
549C22⋊C4—88no—
550C42—28no—
551C42—48no—
552C42—48no—
553C42—44no—
554C42—88no—
555C42—88no—
556C42C2×C22⋊C4116yes—
557C23—24no—
558C23—24no—
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—28no—
578C23—24no—
579C23—28no—
580C23—42no—
581C23—42no—
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—44no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23#51818yes—
615C23C24×C411yescharacteristic
616C23C23×D411yescharacteristic
617C23C23×D411yescharacteristic
618C23C22×#4111yescharacteristic
619C23C22×#4111yescharacteristic
620C23C2×H(5,𝔽2)12yes—
621C23C2×H(5,𝔽2)12yes—
622C23C2×H(5,𝔽2)11yescharacteristic
623C23C2×2−1+411yescharacteristic
624C23C2×2−1+412yes—
625C23#58512yes—
626Q8—432no—
627D4—232no—
628D4—464no—
629D4—416no—
630C2×C4—28no—
631C2×C4—24no—
632C2×C4—28no—
633C2×C4—24no—
634C2×C4—28no—
635C2×C4—28no—
636C2×C4—28no—
637C2×C4—28no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—28no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—28no—
656C2×C4—24no—
657C2×C4—464no—
658C2×C4—432no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—44no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—44no—
677C2×C4—432no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—44no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4C22×C22⋊C414yes—
705C2×C4C22×C22⋊C414yes—
706C2×C4C22×C22⋊C4116yes—
707C2×C4C22×C22⋊C414yes—
708C2×C4C4×#4114yes—
709C2×C4#52014yes—
710C2×C4#54814yes—
711C2×C4#54814yes—
712C2×C4#55014yes—
713C2×C4#55014yes—
714C22—28no—
715C22—28no—
716C22—28no—
717C22—44no—
718C22—44no—
719C22—44no—
720C22—44no—
721C22—44no—
722C22—44no—
723C22—44no—
724C22—44no—
725C22—44no—
726C22—44no—
727C22—44no—
728C22—44no—
729C22—44no—
730C22—44no—
731C22—48no—
732C22—44no—
733C22—48no—
734C22—82no—
735C22—84no—
736C22—84no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22C23×C22⋊C411yescharacteristic
741C22C2×C4×#4111yescharacteristic
742C22C2×#51812yes—
743C22C2×#52011yescharacteristic
744C22C4×2−1+412yes—
745C22C2×#54811yescharacteristic
746C22C2×#54811yescharacteristic
747C22C2×#55011yescharacteristic
748C22C2×#55011yescharacteristic
749C22#348411yescharacteristic
750C22#348412yes—
751C22#348411yescharacteristic
752C22#348611yescharacteristic
753C22#348711yescharacteristic
754C22#349212yes—
755C22#349412yes—
756C22#349712yes—
757C22#351312yes—
758C22#352212yes—
759C22#353612yes—
760C22#354212yes—
761C22#354412yes—
762C22#355912yes—
763C4—24no—
764C4—216no—
765C4—24no—
766C4—44no—
767C4—44no—
768C4—44no—
769C4—44no—
770C4—44no—
771C4—82no—
772C4—84no—
773C4—82no—
774C4—82no—
775C4#234118yes—
776C2—48no—
777C2—84no—
778C2C2×#234111yescharacteristic
779C2#3417111yescharacteristic
780C2#3425711yescharacteristic
781C2#3429812yes—
782C2#3446012yes—
783C2#4487812yes—
784C2#4488212yes—
785C2#4493311yescharacteristic
786C2#4493711yescharacteristic
787C2#4527111yescharacteristic
788C2#4535611yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC22×#547C2
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×#2369C2semidirect
3. C2×#2331C2semidirect
4. #14449C2semidirect
5. #14360C2semidirect
6. #14095C2semidirect
7. #13998C2semidirect
8. #13998C2semidirect
9. #13941C2semidirect
10. #13937C2semidirect
11. #13907C2semidirect
12. #13905C2semidirect
13. #13847C2semidirect
14. C22⋊C4×C4⋊C4C2semidirect
15. #13785C2semidirect
19. C2×#547C4semidirect
253. C4⋊Q8C22⋊C4semidirect
293. C2×C4⋊C4#41semidirect
352. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
C22×#5472
C2×#23692
C2×#23312
#144492
#143602
#140952
#139982
#139412
#139372
#139072
#139052
#138472
C22⋊C4×C4⋊C42
#137852