Finite Group Databasebeta

← #530276

Subgroups — #530276

Order 512.

5326 conjugacy classes of subgroups.

The subgroup lattice has 789 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C22⋊Q8C211yesmaximal, characteristic
2C2×#2332C212yesmaximal, complemented
3#14681C211yesmaximal, characteristic
4#14449C212yesmaximal, complemented
5#14448C212yesmaximal, complemented
6#14364C214yesmaximal, complemented
7#14292C212yesmaximal, complemented
8#14099C214yesmaximal, complemented
9#13922C212yesmaximal, complemented
10#13882C212yesmaximal, complemented
11#13882C212yesmaximal, complemented
12#13873C212yesmaximal
13#13873C212yesmaximal
14C22⋊C4×C4⋊C4C212yesmaximal, complemented
15C4×#379C211yesmaximal, characteristic
16C24×Q8C2211yescharacteristic
17C25×C4C2211yescharacteristic
18C22×C22⋊Q8—216no—
19C22×C22⋊Q8C4116yescomplemented
20C22×C22⋊Q8C2212yes—
21C22×C22⋊Q8C2212yes—
22C22×C22⋊Q8C2211yescharacteristic
23C22×C22⋊Q8C2211yescharacteristic
24C22×C22⋊Q8C2211yescharacteristic
25C22×C22⋊Q8C2211yescharacteristic
26C23×C4⋊C4C2211yescharacteristic
27C23×C4⋊C4C2212yes—
28C23×C22⋊C4C2212yes—
29#2332—216no—
30C2×#391C2214yescomplemented
31C2×#391C2214yescomplemented
32C2×#388C2214yes—
33C2×#388C2214yes—
34C2×#387C2214yescomplemented
35C2×#387C2214yescomplemented
36C2×#381C2212yes—
37C2×#381C2212yes—
38C2×#380C2212yes—
39C2×#380C2212yes—
40C2×#379C2212yes—
41C2×#379C2211yescharacteristic
42C2×#379C2211yescharacteristic
43C2×C4×C4⋊C4C2214yescomplemented
44C2×C4×C22⋊C4C2212yes—
45C2×C4×C22⋊C4C2212yes—
46C2×C4×C22⋊C4C2212yes—
47C2×C4×C22⋊C4C2212yes—
48C2×C4×C22⋊C4C2211yescharacteristic
49C2×C4×C22⋊C4C2211yescharacteristic
50#1446C2214yescomplemented
51#1446C2214yescomplemented
52#1445C2214yescomplemented
53#1445C2214yescomplemented
54#1441C2214yescomplemented
55#1441C2214yescomplemented
56#1440C2214yes—
57#1440C2214yes—
58#1439C2214yes—
59#1439C2214yes—
60#1437C2214yes—
61#1437C2214yes—
62#1436C2214yescomplemented
63#1436C2214yescomplemented
64#1436C2214yescomplemented
65#1436C2214yescomplemented
66C4⋊#95C2214yescomplemented
67C22⋊#95C2212yes—
68C22⋊#95C2212yes—
69C22⋊#95C2212yes—
70C22⋊#95C2212yes—
71C22⋊#95C2212yes—
72C22⋊#95C2212yes—
73C22⋊#95C2212yes—
74C22⋊#95C2212yes—
75C22⋊#95C2212yes—
76C22⋊#95C2212yes—
77C22⋊#95C2212yes—
78C26C2311yescharacteristic
79C23×Q8—28no—
80C23×Q8—42no—
81C23×Q8—42no—
82C23×Q8—44no—
83C23×Q8C2×C418yes—
84C23×Q8C2312yes—
85C23×Q8C2311yescharacteristic
86C23×Q8C2311yescharacteristic
87C24×C4—28no—
88C24×C4—44no—
89C24×C4—42no—
90C24×C4—42no—
91C24×C4C2×C418yes—
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C24×C4C2312yes—
97C24×C4C2312yes—
98C24×C4C2311yescharacteristic
99C24×C4C2311yescharacteristic
100C2×C22⋊Q8—28no—
101C2×C22⋊Q8—28no—
102C2×C22⋊Q8—2128no—
103C2×C22⋊Q8—216no—
104C2×C22⋊Q8—28no—
105C2×C22⋊Q8—216no—
106C2×C22⋊Q8C2×C418yes—
107C2×C22⋊Q8C2×C418yes—
108C2×C22⋊Q8C2×C4116yes—
109C2×C22⋊Q8C2×C418yes—
110C2×C22⋊Q8C2×C4116yes—
111C2×C22⋊Q8C2×C418yes—
112C2×C22⋊Q8D4116yes—
113C22×C4⋊C4—216no—
114C22×C4⋊C4—28no—
115C22×C4⋊C4C2×C418yes—
116C22×C4⋊C4C2×C4116yes—
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2314yes—
124C22×C4⋊C4C2312yes—
125C22×C4⋊C4C2311yescharacteristic
126C22×C22⋊C4—216no—
127C22×C22⋊C4C2×C4116yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2312yes—
142C22×C42C2314yes—
143C22×C42C2312yes—
144C22×C42C2312yes—
145C22×C42C2314yes—
146#391—216no—
147#391—48no—
148#388—216no—
149#388—216no—
150#387—216no—
151#387—216no—
152#381—28no—
153#381—44no—
154#380—28no—
155#380—44no—
156#379—28no—
157#379—42no—
158#379—42no—
159C4×C4⋊C4—216no—
160C4×C22⋊C4—28no—
161C4×C22⋊C4—28no—
162C4×C22⋊C4—44no—
163C4×C22⋊C4—42no—
164C4×C22⋊C4—44no—
165C4×C22⋊C4—42no—
166C2×#95C2314yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2312yes—
178C2×#95C2314yes—
179C2×#95C2312yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C25—24no—
187C25—24no—
188C25—24no—
189C25—24no—
190C25—22no—
191C25—22no—
192C25—42no—
193C25—42no—
194C25C22×C414yes—
195C25C2411yescharacteristic
196C25C2411yescharacteristic
197C25C2411yescharacteristic
198C22×Q8—232no—
199C22×Q8—28no—
200C22×Q8—24no—
201C22×Q8—28no—
202C22×Q8—416no—
203C22×Q8—41no—
204C22×Q8—42no—
205C22×Q8—42no—
206C22×Q8—41no—
207C22×Q8—42no—
208C22×Q8—41no—
209C22×Q8—41no—
210C22×Q8—42no—
211C22×Q8—416no—
212C22×Q8—432no—
213C22×Q8—432no—
214C22×Q8C22×C418yes—
215C22×Q8C22×C414yes—
216C22×Q8C22×C414yes—
217C22×Q8C2×D418yes—
218C23×C4—22no—
219C23×C4—22no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—232no—
230C23×C4—28no—
231C23×C4—28no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—24no—
237C23×C4—416no—
238C23×C4—416no—
239C23×C4—42no—
240C23×C4—41no—
241C23×C4—41no—
242C23×C4—41no—
243C23×C4—41no—
244C23×C4—42no—
245C23×C4—41no—
246C23×C4—41no—
247C23×C4—42no—
248C23×C4—41no—
249C23×C4—41no—
250C23×C4—44no—
251C23×C4—44no—
252C23×C4—432no—
253C23×C4—432no—
254C23×C4C22×C414yes—
255C23×C4C22×C418yes—
256C23×C4C22×C418yes—
257C23×C4C22×C414yes—
258C23×C4C22×C414yes—
259C23×C4C22×C414yes—
260C23×C4C22×C414yes—
261C23×C4C22×C414yes—
262C23×C4C2×D418yes—
263C23×C4C2414yes—
264C23×C4C2414yes—
265C23×C4C2414yes—
266C23×C4C2412yes—
267C23×C4C2412yes—
268C23×C4C2411yescharacteristic
269C23×C4C2414yes—
270C23×C4C2412yes—
271C23×C4C2412yes—
272C23×C4C2411yescharacteristic
273C23×C4C2411yescharacteristic
274C23×C4C2411yescharacteristic
275C22⋊Q8—232no—
276C22⋊Q8—232no—
277C22⋊Q8—264no—
278C22⋊Q8—232no—
279C22⋊Q8—264no—
280C22⋊Q8C22⋊C4164yescomplemented
281C2×C4⋊C4—28no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—28no—
284C2×C4⋊C4—28no—
285C2×C4⋊C4—28no—
286C2×C4⋊C4—232no—
287C2×C4⋊C4—264no—
288C2×C4⋊C4—28no—
289C2×C4⋊C4—28no—
290C2×C4⋊C4—28no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4C22×C414yes—
295C2×C4⋊C4C22×C418yes—
296C2×C4⋊C4C22×C418yes—
297C2×C4⋊C4C22×C418yes—
298C2×C4⋊C4C22×C418yes—
299C2×C4⋊C4C22×C414yes—
300C2×C4⋊C4C22×C418yes—
301C2×C4⋊C4C2×D4116yes—
302C2×C4⋊C4C2×D418yes—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—264no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—28no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—42no—
329C2×C22⋊C4—42no—
330C2×C22⋊C4—42no—
331C2×C22⋊C4—42no—
332C2×C22⋊C4—42no—
333C2×C22⋊C4—42no—
334C2×C22⋊C4—42no—
335C2×C22⋊C4—42no—
336C2×C22⋊C4C22×C418yes—
337C2×C22⋊C4C22×C418yes—
338C2×C22⋊C4C22×C418yes—
339C2×C22⋊C4C22×C418yes—
340C2×C22⋊C4C2×D4116yes—
341C2×C22⋊C4#4118yes—
342C2×C42—28no—
343C2×C42—28no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—28no—
347C2×C42—44no—
348C2×C42—42no—
349C2×C42—42no—
350C2×C42—42no—
351C2×C42—42no—
352C2×C42—44no—
353C2×C42—44no—
354#95—28no—
355#95—28no—
356#95—28no—
357#95—28no—
358#95—28no—
359#95—28no—
360#95—28no—
361#95—28no—
362#95—28no—
363#95—28no—
364#95—28no—
365#95—44no—
366#95—44no—
367#95—42no—
368#95—44no—
369#95—42no—
370#95—44no—
371#95—44no—
372#95—44no—
373#95—44no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—232no—
379C24—28no—
380C24—28no—
381C24—28no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—21no—
388C24—21no—
389C24—21no—
390C24—21no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—28no—
397C24—28no—
398C24—44no—
399C24—44no—
400C24—48no—
401C24—48no—
402C24—416no—
403C24—416no—
404C24—48no—
405C24—48no—
406C24—416no—
407C24—48no—
408C24—48no—
409C24C23×C412yes—
410C24C23×C412yes—
411C24C23×C412yes—
412C24C22×D414yes—
413C24C2×#4114yes—
414C24H(5,𝔽2)12yes—
415C24H(5,𝔽2)12yes—
416C242−1+414yes—
417C242−1+414yes—
418C24C2511yescharacteristic
419C2×Q8—216no—
420C2×Q8—28no—
421C2×Q8—216no—
422C2×Q8—44no—
423C2×Q8—48no—
424C2×Q8—44no—
425C2×Q8—44no—
426C2×Q8—44no—
427C2×Q8—48no—
428C2×Q8—48no—
429C2×Q8—416no—
430C2×Q8—416no—
431C2×Q8—4128no—
432C2×Q8—48no—
433C2×Q8—48no—
434C2×Q8C2×C22⋊C4116yes—
435C22×C4—216no—
436C22×C4—216no—
437C22×C4—28no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—24no—
446C22×C4—22no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—24no—
453C22×C4—28no—
454C22×C4—28no—
455C22×C4—28no—
456C22×C4—216no—
457C22×C4—28no—
458C22×C4—216no—
459C22×C4—24no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—216no—
478C22×C4—216no—
479C22×C4—28no—
480C22×C4—28no—
481C22×C4—28no—
482C22×C4—28no—
483C22×C4—28no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—416no—
519C22×C4—416no—
520C22×C4—48no—
521C22×C4—48no—
522C22×C4—48no—
523C22×C4—48no—
524C22×C4—416no—
525C22×C4—416no—
526C22×C4—4128no—
527C22×C4—48no—
528C22×C4—48no—
529C22×C4C2×C22⋊C4116yes—
530C22×C4C23×C414yes—
531C22×C4C23×C414yes—
532C22×C4C23×C412yes—
533C22×C4C23×C414yes—
534C22×C4C23×C414yes—
535C22×C4C23×C412yes—
536C22×C4C23×C412yes—
537C22×C4C23×C412yes—
538C22×C4C22×D414yes—
539C22×C4C22×D414yes—
540C22×C4C22×D418yes—
541C22×C4C22×D418yes—
542C22×C4C2×#4118yes—
543C22×C4H(5,𝔽2)14yes—
544C4⋊C4—216no—
545C4⋊C4—28no—
546C4⋊C4—216no—
547C4⋊C4—216no—
548C4⋊C4—216no—
549C4⋊C4—416no—
550C4⋊C4—88no—
551C4⋊C4C2×C22⋊C4116yes—
552C4⋊C4C2×C22⋊C4132yes—
553C22⋊C4—216no—
554C22⋊C4—216no—
555C22⋊C4—216no—
556C22⋊C4—216no—
557C22⋊C4—416no—
558C22⋊C4—416no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—48no—
562C22⋊C4—84no—
563C22⋊C4—84no—
564C22⋊C4—84no—
565C22⋊C4—84no—
566C22⋊C4C2×C22⋊C4132yes—
567C42—416no—
568C42—84no—
569C42—84no—
570C42—88no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—28no—
576C23—24no—
577C23—24no—
578C23—28no—
579C23—28no—
580C23—24no—
581C23—24no—
582C23—28no—
583C23—232no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—28no—
597C23—24no—
598C23—24no—
599C23—28no—
600C23—28no—
601C23—28no—
602C23—24no—
603C23—24no—
604C23—416no—
605C23—416no—
606C23—416no—
607C23—416no—
608C23—416no—
609C23—464no—
610C23—464no—
611C23—416no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—44no—
617C23—42no—
618C23—42no—
619C23—44no—
620C23—42no—
621C23—42no—
622C23—44no—
623C23—44no—
624C23C22×C22⋊C414yes—
625C23C4×#4114yes—
626C23#51814yes—
627C23#51914yes—
628C23#51914yes—
629C23#53918yes—
630C23#54218yes—
631C23C24×C411yescharacteristic
632C23C23×D412yes—
633C23C22×#4112yes—
634C23C2×H(5,𝔽2)11yescharacteristic
635C23C2×H(5,𝔽2)11yescharacteristic
636C23C2×H(5,𝔽2)12yes—
637C23C2×2−1+412yes—
638C23C2×2−1+412yes—
639C23#58512yes—
640Q8—416no—
641Q8—432no—
642Q8—416no—
643C2×C4—232no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—28no—
655C2×C4—28no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—28no—
659C2×C4—28no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—24no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—28no—
674C2×C4—28no—
675C2×C4—28no—
676C2×C4—416no—
677C2×C4—416no—
678C2×C4—432no—
679C2×C4—416no—
680C2×C4—416no—
681C2×C4—432no—
682C2×C4—416no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
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—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4C22×C22⋊C418yes—
715C2×C4C22×C22⋊C418yes—
716C2×C4C22×C22⋊C414yes—
717C2×C4C22×C22⋊C414yes—
718C2×C4#51814yes—
719C22—24no—
720C22—24no—
721C22—24no—
722C22—216no—
723C22—216no—
724C22—24no—
725C22—24no—
726C22—24no—
727C22—24no—
728C22—24no—
729C22—24no—
730C22—24no—
731C22—24no—
732C22—24no—
733C22—464no—
734C22—42no—
735C22—42no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—48no—
741C22—48no—
742C22—48no—
743C22—48no—
744C22—42no—
745C22—42no—
746C22#233218yescomplemented
747C22C23×C22⋊C411yescharacteristic
748C22C2×C4×#4111yescharacteristic
749C22C2×#51811yescharacteristic
750C22C2×#51811yescharacteristic
751C22C2×#51911yescharacteristic
752C22C2×#51911yescharacteristic
753C22#342811yescharacteristic
754C22C2×#53912yes—
755C22C2×#54212yes—
756C22D4×#4114yes—
757C22#348412yes—
758C22#348412yes—
759C22#348614yes—
760C22#352014yes—
761C22#353512yes—
762C22#353512yes—
763C22#354114yes—
764C4—28no—
765C4—24no—
766C4—24no—
767C4—24no—
768C4—28no—
769C4—44no—
770C4—48no—
771C4—42no—
772C4—44no—
773C4—84no—
774C4—84no—
775C4—84no—
776C2—28no—
777C2—44no—
778C2—44no—
779C2C2×#233211yescharacteristic
780C2C22⋊C4×#4111yescharacteristic
781C2#3417111yescharacteristic
782C2#3417311yescharacteristic
783C2#3424511yescharacteristic
784C2#3435911yescharacteristic
785C2#3437011yescharacteristic
786C2#3772114yes—
787C2#3772314yes—
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC26C23
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×#2332C2semidirect
4. #14449C2semidirect
5. #14448C2semidirect
6. #14364C2semidirect
7. #14292C2semidirect
8. #14099C2semidirect
9. #13922C2semidirect
10. #13882C2semidirect
11. #13882C2semidirect
14. C22⋊C4×C4⋊C4C2semidirect
19. C22×C22⋊Q8C4semidirect
30. C2×#391C22semidirect
31. C2×#391C22semidirect
34. C2×#387C22semidirect
35. C2×#387C22semidirect
43. C2×C4×C4⋊C4C22semidirect
50. #1446C22semidirect
51. #1446C22semidirect
52. #1445C22semidirect
53. #1445C22semidirect
54. #1441C22semidirect
55. #1441C22semidirect
62. #1436C22semidirect
63. #1436C22semidirect
64. #1436C22semidirect
65. #1436C22semidirect
66. C4⋊#95C22semidirect
280. C22⋊Q8C22⋊C4semidirect
746. C22#2332semidirect

Maximal subgroups

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

subgroupindex
C23×C22⋊Q82
C2×#23322
#146812
#144492
#144482
#143642
#142922
#140992
#139222
#138822
#138732
C22⋊C4×C4⋊C42
C4×#3792