Finite Group Databasebeta

← #6625541

Subgroups — #6625541

Order 512.

3253 conjugacy classes of subgroups.

The subgroup lattice has 777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#554C211yesmaximal, characteristic
2C2×#3385C212yesmaximal, complemented
3Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
4#32956C211yesmaximal, characteristic
5#32953C212yesmaximal
6#25850C214yesmaximal, complemented
7#25839C212yesmaximal, complemented
8#25819C212yesmaximal, complemented
9#25813C211yesmaximal, characteristic, complemented
10#24349C214yesmaximal, complemented
11#24331C212yesmaximal, complemented
12#24307C212yesmaximal, complemented
13#24302C211yesmaximal, characteristic, complemented
14#22522C212yesmaximal, complemented
15#22510C211yesmaximal, characteristic, complemented
16#21453C212yesmaximal
17C4×#450C211yesmaximal, characteristic
18C2×Q82C2211yescharacteristic, complemented
19C2×#554—216no—
20C2×#554—21no—
21C2×#554—22no—
22C2×#554—21no—
23C2×#554C2212yes—
24C2×#554C2214yes—
25C2×#554C2212yes—
26C22×C4⋊Q8C2211yescharacteristic
27C22×#125C2212yes—
28C22×C22⋊Q8—21no—
29C22×C22⋊Q8—22no—
30C22×C4×Q8C2211yescharacteristic
31C22×C4×D4C2212yes—
32C22×C4×D4C2211yescharacteristic
33C23×C4⋊C4—21no—
34#3385—216no—
35C2×#501C2214yescomplemented
36C2×#500C2212yescomplemented
37C2×#479C2214yescomplemented
38C2×#477C2212yescomplemented
39C2×#476C2212yes—
40C2×#474C2214yes—
41C2×#450C2211yescharacteristic
42C2×#446C2212yescomplemented
43C2×#440C2214yes—
44C2×C4×SD16C2212yes—
45#2857C2212yes—
46#2857C2211yescharacteristic
47#2582C2211yescharacteristic, complemented
48#2582C2212yescomplemented
49#2567C2211yescharacteristic, complemented
50#2567C2212yescomplemented
51#2451—22no—
52#2451—21no—
53#2440—21no—
54#2440—22no—
55Q8×C4⋊C4—21no—
56Q8×C4⋊C4C2211yescharacteristic, complemented
57Q8×C22⋊C4—21no—
58C4×C22⋊Q8C2211yescharacteristic
59C4×C22⋊Q8C2212yes—
60#2059C2214yescomplemented
61#2059C2214yescomplemented
62#2059C2214yescomplemented
63#2057C2214yescomplemented
64#2057C2212yescomplemented
65#2026C2214yescomplemented
66#2024C2212yescomplemented
67#1992C2214yescomplemented
68#1990C2212yescomplemented
69#1989C2214yescomplemented
70#1987C2212yescomplemented
71#1985C2214yescomplemented
72#1984C2212yescomplemented
73#1877C2214yes—
74#1877C2212yes—
75#1872C2211yescharacteristic
76#1872C2212yes—
77#1864C2214yes—
78#1864C2212yes—
79#1862C2214yes—
80#1862C2214yes—
81#1862C2214yes—
82#1853C2212yes—
83#1853C2211yescharacteristic
84#1852C2212yes—
85#1852C2212yes—
86#1852C2212yes—
87#1802C2212yes—
88#1802C2214yes—
89#1797C2212yes—
90#1797C2211yescharacteristic
91#1786C2211yescharacteristic
92#1786C2212yes—
93#1762C2214yes—
94C4×#102C2212yes—
95#1749C2212yes—
96C4×C22⋊C8C2211yescharacteristic
97C23×Q8—21no—
98C23×Q8D411yescharacteristic
99C23×D4C2311yescharacteristic
100C24×C4—21no—
101C24×C4—22no—
102C22×SD16C2312yes—
103Q82—28no—
104#554—216no—
105#554—232no—
106#554—216no—
107#554—28no—
108#554—216no—
109#554—28no—
110#554—28no—
111#554—216no—
112#554D4116yes—
113C2×C4⋊Q8—28no—
114C2×C4⋊Q8—21no—
115C2×C4⋊Q8—22no—
116C2×C4⋊Q8—21no—
117C2×C4⋊Q8—21no—
118C2×C4⋊Q8C2311yescharacteristic
119C2×C4⋊Q8C2312yes—
120C2×C4⋊Q8C2312yes—
121C2×C4⋊Q8C2312yes—
122C2×#125—216no—
123C2×#125—22no—
124C2×#125—22no—
125C2×#125C2314yes—
126C2×#125C2314yes—
127C2×C22⋊Q8—232no—
128C2×C22⋊Q8—216no—
129C2×C22⋊Q8—22no—
130C2×C22⋊Q8—24no—
131C2×C22⋊Q8—22no—
132C2×C22⋊Q8—21no—
133C2×C22⋊Q8—22no—
134C2×C22⋊Q8—24no—
135C2×C22⋊Q8—24no—
136C2×C22⋊Q8—24no—
137C2×C22⋊Q8—24no—
138C2×C22⋊Q8C2311yescharacteristic
139C2×C4×Q8—28no—
140C2×C4×Q8—21no—
141C2×C4×Q8—21no—
142C2×C4×Q8D411yescharacteristic
143C2×C4×Q8D412yes—
144C2×C4×Q8D411yescharacteristic
145C2×C4×Q8C2311yescharacteristic
146C2×C4×Q8C2312yes—
147C2×C4×Q8C2311yescharacteristic
148C2×C4×Q8C2312yes—
149C2×C4×Q8C2311yescharacteristic
150C2×C4×D4—216no—
151C2×C4×D4—28no—
152C2×C4×D4—22no—
153C2×C4×D4—22no—
154C2×C4×D4—21no—
155C2×C4×D4—21no—
156C2×C4×D4C2314yes—
157C2×C4×D4C2312yes—
158C2×C4×D4C2312yes—
159C2×C4×D4C2314yes—
160C22×C4⋊C4—216no—
161C22×C4⋊C4—22no—
162C22×C4⋊C4—21no—
163C22×C4⋊C4—22no—
164C22×C4⋊C4—22no—
165C22×C4⋊C4—24no—
166C22×C4⋊C4—22no—
167C22×C4⋊C4D411yescharacteristic
168C22×C4⋊C4D412yes—
169C22×C4⋊C4C2312yes—
170C22×C4⋊C4C2311yescharacteristic
171C22×C22⋊C4—21no—
172C22×C22⋊C4—22no—
173C22×C42C2312yes—
174C22×C42C2311yescharacteristic
175#501—216no—
176#500—28no—
177#479—216no—
178#477—28no—
179#476—28no—
180#474—216no—
181#450Q818yescomplemented
182#446—28no—
183#440—216no—
184C4×SD16—28no—
185C2×#107C2314yes—
186C2×#107C2314yes—
187C2×#107C2314yes—
188C2×#106C2314yes—
189C2×#106C2312yes—
190C2×C4⋊C8C2312yes—
191C2×C4⋊C8C2314yes—
192C2×#103C2314yes—
193C2×#103C2312yes—
194C2×#102C2312yes—
195C2×#102C2314yes—
196C2×#102C2312yes—
197C2×#102C2314yes—
198C2×#102C2312yes—
199C2×C22⋊C8C2311yescharacteristic
200C2×C22⋊C8C2312yes—
201C2×C22⋊C8C2311yescharacteristic
202C2×#97C2314yes—
203C2×C4×C8C2312yes—
204#398—22no—
205#398—22no—
206#398—22no—
207#395—22no—
208#395—22no—
209#395—22no—
210#391—21no—
211#391—22no—
212#391—21no—
213#391—22no—
214#391—22no—
215#391—21no—
216#391C2311yescharacteristic
217#391C2312yes—
218#389—21no—
219#389—22no—
220#389—21no—
221#389—22no—
222#389—22no—
223#389—21no—
224#389C2311yescharacteristic
225#389C2312yes—
226#389C2312yes—
227#389C2312yes—
228#389C2312yes—
229#387—22no—
230#387—21no—
231#385—21no—
232#385—22no—
233#384—21no—
234#384—22no—
235#384C2311yescharacteristic
236#384C2312yes—
237#380—22no—
238#380—21no—
239#380C2311yescharacteristic
240#380C2312yes—
241C4×C4⋊C4—22no—
242C4×C4⋊C4—21no—
243C4×C4⋊C4C2311yescharacteristic
244C4×C4⋊C4C2312yes—
245C4×C22⋊C4—22no—
246C4×C22⋊C4—21no—
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#340C2314yes—
252#340C2312yes—
253#340C2312yes—
254#336C2312yes—
255#336C2314yes—
256#336C2312yes—
257#336C2314yes—
258C25—21no—
259C22×Q8—28no—
260C22×Q8—24no—
261C22×Q8—24no—
262C22×Q8—22no—
263C22×Q8—22no—
264C22×Q8—21no—
265C22×Q8—22no—
266C22×Q8—42no—
267C22×Q8—82no—
268C22×Q8—82no—
269C22×Q8C2×D411yescharacteristic
270C22×Q8C2×D412yes—
271C22×Q8C2×D411yescharacteristic
272C22×Q8C2411yescharacteristic
273C22×D4—24no—
274C22×D4—24no—
275C22×D4—21no—
276C22×D4—22no—
277C22×D4C2×Q814yes—
278C22×D4C2412yes—
279C23×C4—28no—
280C23×C4—21no—
281C23×C4—22no—
282C23×C4—216no—
283C23×C4—22no—
284C23×C4—22no—
285C23×C4—24no—
286C23×C4—24no—
287C23×C4—44no—
288C23×C4—44no—
289C23×C4—84no—
290C23×C4—84no—
291C23×C4C2×D412yes—
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D412yes—
294C23×C4C2×D411yescharacteristic
295C23×C4C2411yescharacteristic
296C2×SD16—24no—
297C2×SD16—24no—
298C2×SD16C2×Q818yescomplemented
299C22×C8C2412yes—
300C22×C8C2414yes—
301C22×C8C2412yes—
302C4⋊Q8—28no—
303C4⋊Q8—28no—
304C4⋊Q8—28no—
305C4⋊Q8—24no—
306C4⋊Q8—28no—
307C4⋊Q8—24no—
308C4⋊Q8—44no—
309C4⋊Q8—48no—
310C4⋊Q8C2×D418yes—
311#125—216no—
312#125—216no—
313#125—28no—
314#125—28no—
315#125—28no—
316#125C2×D4116yes—
317C22⋊Q8—216no—
318C22⋊Q8—232no—
319C22⋊Q8—232no—
320C22⋊Q8—232no—
321C22⋊Q8—232no—
322C22⋊Q8—216no—
323C22⋊Q8—22no—
324C22⋊Q8—232no—
325C22⋊Q8—84no—
326C22⋊Q8—82no—
327C22⋊Q8C2×Q814yes—
328C4×Q8—24no—
329C4×Q8—28no—
330C4×Q8—24no—
331C4×Q8—24no—
332C4×Q8—28no—
333C4×Q8—24no—
334C4×Q8—28no—
335C4×Q8—44no—
336C4×Q8—44no—
337C4×Q8C2×D418yes—
338C4×D4—216no—
339C4×D4—216no—
340C4×D4—28no—
341C4×D4—28no—
342C4×D4—28no—
343C4×D4—24no—
344C4×D4—28no—
345C4×D4—24no—
346C4×D4—24no—
347C4×D4—28no—
348C4×D4C2×D418yes—
349C4×D4C2×D4116yes—
350C2×C4⋊C4—216no—
351C2×C4⋊C4—28no—
352C2×C4⋊C4—216no—
353C2×C4⋊C4—232no—
354C2×C4⋊C4—216no—
355C2×C4⋊C4—24no—
356C2×C4⋊C4—24no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—24no—
360C2×C4⋊C4—24no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—24no—
365C2×C4⋊C4—216no—
366C2×C4⋊C4—28no—
367C2×C4⋊C4—24no—
368C2×C4⋊C4—28no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—22no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—22no—
375C2×C4⋊C4—22no—
376C2×C4⋊C4—22no—
377C2×C4⋊C4—22no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—22no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—22no—
382C2×C4⋊C4C2×D411yescharacteristic
383C2×C4⋊C4C2×D412yes—
384C2×C4⋊C4C2×D412yes—
385C2×C4⋊C4C2×D412yes—
386C2×C4⋊C4C2×D412yes—
387C2×C4⋊C4C2×D411yescharacteristic
388C2×C4⋊C4C2×D412yes—
389C2×C4⋊C4C2411yescharacteristic
390C2×C4⋊C4C2412yes—
391C2×C4⋊C4C2412yes—
392C2×C4⋊C4C2411yescharacteristic
393C2×C4⋊C4C2412yes—
394C2×C4⋊C4C2414yes—
395C2×C4⋊C4C2411yescharacteristic
396C2×C22⋊C4—28no—
397C2×C22⋊C4—216no—
398C2×C22⋊C4—21no—
399C2×C22⋊C4—22no—
400C2×C22⋊C4—24no—
401C2×C22⋊C4—22no—
402C2×C22⋊C4—24no—
403C2×C22⋊C4—22no—
404C2×C22⋊C4—21no—
405C2×C42—28no—
406C2×C42—24no—
407C2×C42—22no—
408C2×C42—21no—
409C2×C42—22no—
410C2×C42—21no—
411C2×C42C2×D412yes—
412C2×C42C2×D412yes—
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2412yes—
416C2×C42C2411yescharacteristic
417C2×C42C2412yes—
418C2×C42C2411yescharacteristic
419#107—28no—
420#107—28no—
421#107—28no—
422#106—24no—
423#106—28no—
424C4⋊C8—28no—
425C4⋊C8—24no—
426#103—24no—
427#103—28no—
428#102—24no—
429#102—28no—
430#102—24no—
431#102—28no—
432#102C2×Q818yescomplemented
433C22⋊C8—22no—
434C22⋊C8—24no—
435C22⋊C8C2×Q814yes—
436#97—28no—
437C4×C8—24no—
438#95—22no—
439#95—21no—
440#95—22no—
441#95—21no—
442#95—22no—
443#95—21no—
444#95—21no—
445#95—22no—
446#95—21no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451C24—24no—
452C24—24no—
453C24—24no—
454C24—22no—
455C24—42no—
456C24—42no—
457C24—42no—
458C24—42no—
459C24C22×D411yescharacteristic
460C2×Q8—28no—
461C2×Q8—24no—
462C2×Q8—22no—
463C2×Q8—28no—
464C2×Q8—22no—
465C2×Q8—24no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—21no—
470C2×Q8—22no—
471C2×Q8—22no—
472C2×Q8—42no—
473C2×Q8—416no—
474C2×Q8—42no—
475C2×Q8—44no—
476C2×Q8—82no—
477C2×Q8—82no—
478C2×Q8—82no—
479C2×Q8—82no—
480C2×Q8—82no—
481C2×Q8—81no—
482C2×Q8—82no—
483C2×Q8—81no—
484C2×Q8—816no—
485C2×Q8#12014yes—
486C2×Q8C22×Q812yes—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—216no—
490C2×D4—216no—
491C2×D4—24no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—22no—
495C2×D4C22×D414yes—
496C2×D4C22×Q814yes—
497C2×D42−1+414yes—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—24no—
503C22×C4—28no—
504C22×C4—28no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—22no—
511C22×C4—24no—
512C22×C4—216no—
513C22×C4—24no—
514C22×C4—22no—
515C22×C4—24no—
516C22×C4—28no—
517C22×C4—216no—
518C22×C4—22no—
519C22×C4—21no—
520C22×C4—22no—
521C22×C4—21no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—41no—
525C22×C4—44no—
526C22×C4—432no—
527C22×C4—42no—
528C22×C4—44no—
529C22×C4—42no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—84no—
535C22×C4—84no—
536C22×C4—84no—
537C22×C4—84no—
538C22×C4—832no—
539C22×C4#13714yes—
540C22×C4C22×D412yes—
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D412yes—
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D412yes—
545C22×C4C22×D412yes—
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C22×Q812yes—
550C22×C42−1+412yes—
551C22×C4C2511yescharacteristic
552SD16—216no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—24no—
557C2×C8—22no—
558C2×C8—24no—
559C2×C8—22no—
560C2×C8—24no—
561C2×C8C22×Q814yes—
562C4⋊C4—216no—
563C4⋊C4—28no—
564C4⋊C4—24no—
565C4⋊C4—28no—
566C4⋊C4—216no—
567C4⋊C4—24no—
568C4⋊C4—22no—
569C4⋊C4—216no—
570C4⋊C4—28no—
571C4⋊C4—216no—
572C4⋊C4—24no—
573C4⋊C4—24no—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—22no—
577C4⋊C4—24no—
578C4⋊C4—21no—
579C4⋊C4—22no—
580C4⋊C4—24no—
581C4⋊C4—22no—
582C4⋊C4—24no—
583C4⋊C4—44no—
584C4⋊C4—42no—
585C4⋊C4—44no—
586C4⋊C4—44no—
587C4⋊C4—42no—
588C4⋊C4—42no—
589C4⋊C4—82no—
590C4⋊C4—81no—
591C4⋊C4—82no—
592C4⋊C4—81no—
593C4⋊C4—82no—
594C4⋊C4—82no—
595C4⋊C4—82no—
596C4⋊C4#12014yes—
597C4⋊C4#12018yes—
598C4⋊C4C22×D414yes—
599C4⋊C4C22×D418yes—
600C4⋊C4C22×Q812yes—
601C22⋊C4—216no—
602C22⋊C4—28no—
603C22⋊C4—24no—
604C22⋊C4—28no—
605C22⋊C4—216no—
606C22⋊C4—42no—
607C22⋊C4—44no—
608C42—24no—
609C42—24no—
610C42—22no—
611C42—22no—
612C42—24no—
613C42—22no—
614C42—44no—
615C42—44no—
616C42—42no—
617C42—42no—
618C42C22×D414yes—
619C42C22×D418yes—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—216no—
625C23—24no—
626C23—24no—
627C23—24no—
628C23—48no—
629C23—48no—
630C23—48no—
631C23—48no—
632C23—48no—
633C23—42no—
634C23—48no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23D4×Q812yes—
639C23C2×#13712yes—
640C23#57612yes—
641C23C23×D411yescharacteristic
642Q8—28no—
643Q8—24no—
644Q8—48no—
645Q8—42no—
646Q8—44no—
647Q8—88no—
648Q8—88no—
649Q8—164no—
650Q8—162no—
651D4—216no—
652D4—24no—
653D4—24no—
654D4—24no—
655D4D4×Q818yes—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—28no—
669C2×C4—22no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—22no—
674C2×C4—24no—
675C2×C4—28no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—48no—
683C2×C4—48no—
684C2×C4—44no—
685C2×C4—416no—
686C2×C4—48no—
687C2×C4—416no—
688C2×C4—41no—
689C2×C4—44no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—416no—
697C2×C4—42no—
698C2×C4—41no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—42no—
702C2×C4—41no—
703C2×C4—42no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—42no—
707C2×C4—41no—
708C2×C4—42no—
709C2×C4—816no—
710C2×C4—816no—
711C2×C4C2×#12014yes—
712C2×C4C2×#12012yes—
713C2×C4C2×#12014yes—
714C2×C4C2×#12012yes—
715C2×C4D4×Q812yes—
716C2×C4C2×#13712yes—
717C2×C4C2×#13712yes—
718C2×C4#57512yes—
719C2×C4C23×D412yes—
720C2×C4C23×Q811yescharacteristic
721C2×C4C2×2−1+412yes—
722C2×C4C2×2−1+411yescharacteristic
723C8—24no—
724C8—42no—
725C8—44no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—28no—
733C22—432no—
734C22—44no—
735C22—44no—
736C22—44no—
737C22—44no—
738C22—44no—
739C22—44no—
740C22#338514yescomplemented
741C22C22×#12011yescharacteristic
742C22C2×D4×Q811yescharacteristic
743C22#348611yescharacteristic
744C22C22×#13711yescharacteristic
745C22C2×#57511yescharacteristic
746C22C2×#57611yescharacteristic
747C22#358511yescharacteristic
748C4—22no—
749C4—22no—
750C4—24no—
751C4—24no—
752C4—22no—
753C4—42no—
754C4—42no—
755C4—42no—
756C4—44no—
757C4—42no—
758C4—41no—
759C4—48no—
760C4—82no—
761C4—81no—
762C4—81no—
763C4—82no—
764C4#300714yes—
765C4C2×D4×Q812yes—
766C4#348612yes—
767C2—24no—
768C2—48no—
769C2Q8×#12011yescharacteristic
770C2C2×#300711yescharacteristic
771C2#6037211yescharacteristic
772C2C2×#338511yescharacteristic
773C2#6136711yescharacteristic
774C2#6182611yescharacteristic
775C2#6183511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×Q8 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3385C2semidirect
3. Q8×C22⋊Q8C2semidirect
6. #25850C2semidirect
7. #25839C2semidirect
8. #25819C2semidirect
9. #25813C2semidirect
10. #24349C2semidirect
11. #24331C2semidirect
12. #24307C2semidirect
13. #24302C2semidirect
14. #22522C2semidirect
15. #22510C2semidirect
18. C2×Q82C22semidirect
35. C2×#501C22semidirect
36. C2×#500C22semidirect
37. C2×#479C22semidirect
38. C2×#477C22semidirect
42. C2×#446C22semidirect
47. #2582C22semidirect
48. #2582C22semidirect
49. #2567C22semidirect
50. #2567C22semidirect
56. Q8×C4⋊C4C22semidirect
60. #2059C22semidirect
61. #2059C22semidirect
62. #2059C22semidirect
63. #2057C22semidirect
64. #2057C22semidirect
65. #2026C22semidirect
66. #2024C22semidirect
67. #1992C22semidirect
68. #1990C22semidirect
69. #1989C22semidirect
70. #1987C22semidirect
71. #1985C22semidirect
72. #1984C22semidirect
181. #450Q8semidirect
298. C2×SD16C2×Q8semidirect
432. #102C2×Q8semidirect
740. C22#3385semidirect

Maximal subgroups

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

subgroupindex
C22×#5542
C2×#33852
Q8×C22⋊Q82
#329562
#329532
#258502
#258392
#258192
#258132
#243492
#243312
#243072
#243022
#225222
#225102
#214532
C4×#4502