Finite Group Databasebeta

← #6526595

Subgroups — #6526595

Order 512.

2087 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#474C211yesmaximal, characteristic, complemented
2C2×#2990C211yesmaximal, characteristic, complemented
3#35279C211yesmaximal, characteristic, complemented
4#34963C211yesmaximal, characteristic
5#28104C212yesmaximal, complemented
6#28097C212yesmaximal, complemented
7#27666C212yesmaximal, complemented
8#27662C212yesmaximal, complemented
9#25481C214yesmaximal, complemented
10#25350C214yesmaximal, complemented
11#24844C212yesmaximal, complemented
12#24835C212yesmaximal, complemented
13#24709C212yesmaximal, complemented
14#24700C212yesmaximal, complemented
15#21962C211yesmaximal, characteristic, complemented
16#21841C211yesmaximal, characteristic, complemented
17#20738C211yesmaximal, characteristic, complemented
18C22×C4⋊Q8C2211yescharacteristic
19C2×C4×#41C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C2×#474—28no—
22C2×#474C2212yes—
23C2×#474C2214yes—
24C2×#474C2212yes—
25#2990—28no—
26C2×#446C2212yescomplemented
27C2×#435C2212yes—
28C2×#435C2212yescomplemented
29C2×C8×D4C2212yes—
30C2×#432C2211yescharacteristic
31C2×#432C2211yescharacteristic, complemented
32C2×#431C2211yescharacteristic, complemented
33C22×#107C2212yes—
34C2×#423C2211yescharacteristic, complemented
35C22×C4⋊C8C2211yescharacteristic
36C22×C4⋊C8C2211yescharacteristic, complemented
37C22×#102C2212yes—
38#2857C2212yescomplemented
39#2857C2212yescomplemented
40#2628—21no—
41#2628—21no—
42#2598—21no—
43#2598—21no—
44#2580C2212yes—
45#2568—21no—
46#2567C2212yescomplemented
47#2563C2212yescomplemented
48#2542—21no—
49#2535C2212yes—
50#2487C2211yescharacteristic
51#2487C2212yes—
52#2487C2211yescharacteristic
53#2487C2212yes—
54#2482—21no—
55#2409—21no—
56#2409—21no—
57#2408C2211yescharacteristic
58#2408C2211yescharacteristic
59#2404—21no—
60#2398—21no—
61#2397—21no—
62#2317—21no—
63#2311—21no—
64C4×#121C2212yes—
65C4×#121C2212yes—
66C4×#120—21no—
67C4×#120—21no—
68#2285C2211yescharacteristic
69#2283C2211yescharacteristic
70#2087C2214yescomplemented
71#2086C2214yescomplemented
72#2076C2214yescomplemented
73#2075C2214yescomplemented
74#2067C2214yes—
75#2065C2214yes—
76#2034C2214yes—
77#2033C2214yes—
78#1993C2214yescomplemented
79#1988C2212yescomplemented
80#1988C2212yescomplemented
81#1949C2214yescomplemented
82#1948C2212yescomplemented
83#1947C2212yescomplemented
84#1944C2214yescomplemented
85#1942C2214yescomplemented
86#1936C2214yes—
87#1934C2214yes—
88#1895C2214yes—
89#1893C2214yes—
90#1824C2212yes—
91#1824C2212yes—
92#1824C2212yes—
93#1809C2214yescomplemented
94#1808C2212yes—
95#1808C2214yescomplemented
96#1807C2212yes—
97#1802C2212yes—
98#1802C2212yes—
99#1786C2212yes—
100#1762C2214yes—
101C22×#41D411yescharacteristic
102C23×Q8—21no—
103C23×D4C2311yescharacteristic
104C24×C4—21no—
105C22×M16C2312yes—
106C23×C8C2312yes—
107C23×C8C2312yes—
108C2×C4⋊Q8—21no—
109C2×C4⋊Q8—21no—
110C2×C4⋊Q8—24no—
111C2×C4⋊Q8—24no—
112C2×C4⋊Q8C2312yes—
113C2×C4⋊Q8C2312yes—
114C2×C22⋊Q8—22no—
115C2×C22⋊Q8—22no—
116C2×#121C2312yes—
117C2×#121C2312yes—
118C2×#120—21no—
119C2×#120—21no—
120C4×#41—24no—
121C4×#41—24no—
122C2×C4×Q8D411yescharacteristic
123C2×C4×Q8C2311yescharacteristic
124C2×C4×D4—22no—
125C2×C4×D4—22no—
126C2×C4×D4—21no—
127C2×C4×D4—21no—
128C2×C4×D4—24no—
129C2×C4×D4—24no—
130C2×C4×D4D411yescharacteristic
131C2×C4×D4D411yescharacteristic
132C2×C4×D4D411yescharacteristic
133C2×C4×D4C2312yes—
134C2×C4×D4C2312yes—
135C2×C4×D4C2311yescharacteristic
136C2×C4×D4C2311yescharacteristic
137C2×C4×D4C2311yescharacteristic
138C2×#117—21no—
139C2×#117D411yescharacteristic
140C2×#117D411yescharacteristic
141C2×#117D411yescharacteristic
142C22×C4⋊C4—21no—
143C22×C4⋊C4C2312yes—
144C22×C4⋊C4C2311yescharacteristic
145C22×C22⋊C4—21no—
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#474—28no—
150#474—28no—
151#474—216no—
152#446—28no—
153#435—28no—
154#435—28no—
155C8×D4—28no—
156#432—24no—
157#432—24no—
158#431—24no—
159C2×#107—28no—
160C2×#107C2314yes—
161C2×#107C2314yes—
162C2×#107C2314yes—
163C2×#106C2314yes—
164#423—24no—
165C2×C4⋊C8—24no—
166C2×C4⋊C8D418yescomplemented
167C2×C4⋊C8C2311yescharacteristic
168C2×C4⋊C8C2311yescharacteristic
169C2×C4⋊C8C2312yes—
170C2×C4⋊C8C2312yes—
171C2×C4⋊C8C2311yescharacteristic
172C2×C4⋊C8C2311yescharacteristic
173C2×C4⋊C8C2312yes—
174C2×#102—28no—
175C2×#102C2314yes—
176C2×#102C2314yes—
177C2×#102C2314yes—
178C2×#102C2314yes—
179C2×C22⋊C8C2312yes—
180C2×C22⋊C8C2312yes—
181C2×C22⋊C8C2312yes—
182C2×#97C2312yes—
183C2×#97C2312yes—
184C2×C4×C8C2312yes—
185#400—22no—
186#400—22no—
187#400—21no—
188#400—21no—
189#399—22no—
190#399—21no—
191#399—21no—
192#399—22no—
193#399—22no—
194#397—22no—
195#395—22no—
196#395—22no—
197#394—21no—
198#394—21no—
199#393—22no—
200#393—22no—
201#393—22no—
202#392—22no—
203#392—21no—
204#392—21no—
205#391—22no—
206#391—22no—
207#391—22no—
208#390—22no—
209#390C2312yes—
210#390C2312yes—
211#389—22no—
212#389—22no—
213#389C2314yes—
214#389C2314yes—
215#389C2312yes—
216#389C2312yes—
217#388—22no—
218#388—22no—
219#386—22no—
220#386—22no—
221#386—21no—
222#386—21no—
223#386—22no—
224#386—22no—
225#386—22no—
226#386—22no—
227#385—22no—
228#385—22no—
229#385—22no—
230#385—22no—
231#385—21no—
232#385—21no—
233#384—22no—
234#384C2312yes—
235#383—21no—
236#382—22no—
237#382—21no—
238#382C2312yes—
239#381—21no—
240#380—22no—
241#380—22no—
242#380—21no—
243#380C2314yes—
244#380C2314yes—
245#380C2311yescharacteristic
246#380C2312yes—
247#380C2311yescharacteristic
248#380C2312yes—
249#380C2312yes—
250#379—21no—
251#379—21no—
252C4×C4⋊C4—21no—
253C4×C4⋊C4C2312yes—
254C4×C4⋊C4C2312yes—
255C4×C22⋊C4—21no—
256C4×C22⋊C4—22no—
257C4×C22⋊C4—22no—
258#376—21no—
259#340C2314yes—
260#340C2314yes—
261#340C2314yes—
262#340C2314yes—
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267C25—21no—
268C2×#41—24no—
269C2×#41—24no—
270C2×#41—42no—
271C22×Q8—22no—
272C22×Q8—22no—
273C22×Q8—44no—
274C22×Q8—84no—
275C22×Q8C2×D411yescharacteristic
276C22×D4—24no—
277C22×D4—22no—
278C22×D4—22no—
279C22×D4—22no—
280C22×D4—21no—
281C22×D4—22no—
282C22×D4—42no—
283C22×D4C2×D411yescharacteristic
284C22×D4C2×D411yescharacteristic
285C22×D4C2×D411yescharacteristic
286C22×D4C2412yes—
287C23×C4—21no—
288C23×C4—22no—
289C23×C4—22no—
290C23×C4—22no—
291C23×C4—44no—
292C23×C4—84no—
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2×D411yescharacteristic
296C23×C4C2×D411yescharacteristic
297C23×C4C2×D411yescharacteristic
298C23×C4C2×D411yescharacteristic
299C23×C4C2411yescharacteristic
300C23×C4C2411yescharacteristic
301C23×C4C2411yescharacteristic
302C2×M16—24no—
303C2×M16—44no—
304C22×C8—24no—
305C22×C8—44no—
306C22×C8—44no—
307C22×C8C2×D418yes—
308C22×C8C2412yes—
309C22×C8C2412yes—
310C22×C8C2412yes—
311C22×C8C2412yes—
312C4⋊Q8—24no—
313C4⋊Q8—24no—
314C4⋊Q8—24no—
315C4⋊Q8—24no—
316C4⋊Q8—44no—
317C4⋊Q8—44no—
318C22⋊Q8—84no—
319C22⋊Q8—84no—
320#121—24no—
321#121—24no—
322#121—42no—
323#121—42no—
324#120—44no—
325#120—44no—
326C4×Q8—24no—
327C4×Q8—22no—
328C4×Q8—22no—
329C4×D4—24no—
330C4×D4—24no—
331C4×D4—22no—
332C4×D4—22no—
333C4×D4—22no—
334C4×D4—22no—
335C4×D4—24no—
336C4×D4—22no—
337C4×D4—24no—
338C4×D4—24no—
339C4×D4—22no—
340C4×D4—24no—
341C4×D4—24no—
342C4×D4—44no—
343C4×D4—44no—
344C4×D4—84no—
345C4×D4—84no—
346#117—24no—
347#117—24no—
348#117—24no—
349#117—44no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—24no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—24no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—24no—
363C2×C4⋊C4—24no—
364C2×C4⋊C4—44no—
365C2×C4⋊C4C2×D411yescharacteristic
366C2×C4⋊C4C2×D411yescharacteristic
367C2×C4⋊C4C2×D411yescharacteristic
368C2×C4⋊C4C2×D411yescharacteristic
369C2×C4⋊C4C2×D411yescharacteristic
370C2×C4⋊C4C2×D411yescharacteristic
371C2×C4⋊C4C2412yes—
372C2×C4⋊C4C2414yes—
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2414yes—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—21no—
378C2×C22⋊C4—21no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—24no—
388C2×C22⋊C4—24no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—44no—
392C2×C22⋊C4C2×D411yescharacteristic
393C2×C22⋊C4C2×D411yescharacteristic
394C2×C22⋊C4C2×D411yescharacteristic
395C2×C22⋊C4C2×D411yescharacteristic
396C2×C22⋊C4C2×D411yescharacteristic
397C2×C22⋊C4C2×D411yescharacteristic
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D414yes—
411C2×C42#4114yes—
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416#107—28no—
417#107—28no—
418#107—44no—
419#106—44no—
420C4⋊C8—24no—
421C4⋊C8—24no—
422C4⋊C8—22no—
423C4⋊C8—22no—
424C4⋊C8C2×D414yes—
425C4⋊C8C2×D414yes—
426C4⋊C8C2×D418yes—
427#102—28no—
428#102—28no—
429#102—28no—
430#102—44no—
431C22⋊C8—24no—
432C22⋊C8—24no—
433C22⋊C8—24no—
434#97—24no—
435#97—24no—
436C4×C8—24no—
437#95—21no—
438#95—21no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—24no—
449#95—24no—
450#95—24no—
451#95—24no—
452C24—22no—
453C24—44no—
454C24—42no—
455C24—42no—
456C24—42no—
457C24—82no—
458C24C22×D411yescharacteristic
459C24C22×D411yescharacteristic
460C24C22×D411yescharacteristic
461#41—416no—
462C2×Q8—22no—
463C2×Q8—22no—
464C2×Q8—41no—
465C2×Q8—44no—
466C2×Q8—44no—
467C2×Q8—44no—
468C2×Q8—44no—
469C2×Q8—84no—
470C2×Q8—816no—
471C2×D4—22no—
472C2×D4—22no—
473C2×D4—28no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—48no—
485C2×D4—41no—
486C2×D4—44no—
487C2×D4—44no—
488C2×D4—44no—
489C2×D4—44no—
490C2×D4—44no—
491C2×D4—44no—
492C2×D4—42no—
493C2×D4—82no—
494C2×D4—82no—
495C2×D4#13714yes—
496C2×D42−1+414yes—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—24no—
521C22×C4—22no—
522C22×C4—24no—
523C22×C4—41no—
524C22×C4—41no—
525C22×C4—42no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—82no—
532C22×C4—82no—
533C22×C4—816no—
534C22×C4—82no—
535C22×C4—84no—
536C22×C4#12114yes—
537C22×C4#12114yes—
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D412yes—
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4C2×#4112yes—
551C22×C4C2511yescharacteristic
552M16—84no—
553C2×C8—24no—
554C2×C8—24no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—24no—
558C2×C8—24no—
559C2×C8—48no—
560C2×C8—84no—
561C2×C8C22×D414yes—
562C2×C8C22×D414yes—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—24no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—24no—
573C4⋊C4—24no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—24no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—44no—
580C4⋊C4—42no—
581C4⋊C4—44no—
582C4⋊C4—44no—
583C4⋊C4—44no—
584C4⋊C4—44no—
585C4⋊C4—82no—
586C4⋊C4—82no—
587C4⋊C4—84no—
588C4⋊C4—84no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—42no—
599C22⋊C4—44no—
600C22⋊C4—42no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—44no—
604C22⋊C4—82no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C22⋊C4—82no—
608C22⋊C4—84no—
609C22⋊C4—84no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—21no—
615C42—21no—
616C42—21no—
617C42—21no—
618C42—44no—
619C42—44no—
620C42#12114yes—
621C42#12114yes—
622C42C22×D412yes—
623C42C22×D412yes—
624C42C2×#4112yes—
625C42C2×#4112yes—
626C23—22no—
627C23—22no—
628C23—21no—
629C23—22no—
630C23—21no—
631C23—22no—
632C23—21no—
633C23—24no—
634C23—22no—
635C23—21no—
636C23—21no—
637C23—22no—
638C23—48no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—88no—
646C23—88no—
647C23—84no—
648C23—84no—
649C23C2×#12112yes—
650C23C2×#13712yes—
651C23C2×#13712yes—
652C23#57512yes—
653C23C23×D411yescharacteristic
654Q8—44no—
655Q8—88no—
656Q8—88no—
657D4—28no—
658D4—24no—
659D4—24no—
660D4—44no—
661D4—48no—
662D4—44no—
663D4—42no—
664D4—42no—
665D4—88no—
666D4—88no—
667C2×C4—21no—
668C2×C4—22no—
669C2×C4—28no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—28no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—88no—
717C2×C4—84no—
718C2×C4—88no—
719C2×C4—88no—
720C2×C4C2×#12112yes—
721C2×C4C2×#12112yes—
722C2×C4C2×#12112yes—
723C2×C4C2×#12112yes—
724C2×C4C2×#12112yes—
725C2×C4C2×#13712yes—
726C2×C4#57614yes—
727C2×C4C23×D411yescharacteristic
728C2×C4C22×#4111yescharacteristic
729C2×C4C2×2−1+412yes—
730C2×C4#58512yes—
731C8—24no—
732C8—24no—
733C8—42no—
734C8—42no—
735C22—22no—
736C22—22no—
737C22—24no—
738C22—24no—
739C22—22no—
740C22—24no—
741C22—41no—
742C22—41no—
743C22—42no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—44no—
748C22—42no—
749C22—44no—
750C22—44no—
751C22—42no—
752C22—816no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22#305614yes—
758C22C22×#12111yescharacteristic
759C22#348912yes—
760C22C22×#13711yescharacteristic
761C22C2×#57511yescharacteristic
762C22C2×#57612yes—
763C4—22no—
764C4—22no—
765C4—22no—
766C4—22no—
767C4—22no—
768C4—41no—
769C4—41no—
770C4—41no—
771C4—41no—
772C4—41no—
773C4—82no—
774C4—84no—
775C4—84no—
776C4—82no—
777C4—82no—
778C4#305814yes—
779C4#348511yescharacteristic
780C4#348611yescharacteristic
781C4#349512yes—
782C2—24no—
783C2—42no—
784C2—81no—
785C2—84no—
786C2#3563311yescharacteristic
787C2C2×#305611yescharacteristic
788C2C2×#305811yescharacteristic
789C2#6212512yes—
790C2#6212712yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#34963C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×#41 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#474C2semidirect
2. C2×#2990C2semidirect
3. #35279C2semidirect
5. #28104C2semidirect
6. #28097C2semidirect
7. #27666C2semidirect
8. #27662C2semidirect
9. #25481C2semidirect
10. #25350C2semidirect
11. #24844C2semidirect
12. #24835C2semidirect
13. #24709C2semidirect
14. #24700C2semidirect
15. #21962C2semidirect
16. #21841C2semidirect
17. #20738C2semidirect
26. C2×#446C22semidirect
28. C2×#435C22semidirect
31. C2×#432C22semidirect
32. C2×#431C22semidirect
34. C2×#423C22semidirect
36. C22×C4⋊C8C22semidirect
38. #2857C22semidirect
39. #2857C22semidirect
46. #2567C22semidirect
47. #2563C22semidirect
70. #2087C22semidirect
71. #2086C22semidirect
72. #2076C22semidirect
73. #2075C22semidirect
78. #1993C22semidirect
79. #1988C22semidirect
80. #1988C22semidirect
81. #1949C22semidirect
82. #1948C22semidirect
83. #1947C22semidirect
84. #1944C22semidirect
85. #1942C22semidirect
93. #1809C22semidirect
95. #1808C22semidirect
166. C2×C4⋊C8D4semidirect

Maximal subgroups

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

subgroupindex
C22×#4742
C2×#29902
#352792
#349632
#281042
#280972
#276662
#276622
#254812
#253502
#248442
#248352
#247092
#247002
#219622
#218412
#207382