Finite Group Databasebeta

← #6627195

Subgroups — #6627195

Order 512.

3167 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×Q82C211yesmaximal, characteristic, complemented
2C2×#3375C212yesmaximal, complemented
3#36580C211yesmaximal, characteristic
4#32909C212yesmaximal, complemented
5#32903C211yesmaximal, characteristic
6#25942C214yesmaximal, complemented
7#25932C212yesmaximal, complemented
8#25908C212yesmaximal, complemented
9#25903C211yesmaximal, characteristic
10#24341C214yesmaximal, complemented
11#24333C212yesmaximal, complemented
12#24302C211yesmaximal, characteristic, complemented
13#24298C212yesmaximal, complemented
14#22525C212yesmaximal, complemented
15#22510C211yesmaximal, characteristic, complemented
16#21454C212yesmaximal, complemented
17C4×#451C211yesmaximal, characteristic, complemented
18C2×#559C2211yescharacteristic
19C2×Q82—216no—
20C2×Q82—21no—
21C2×Q82—21no—
22C2×Q82—22no—
23C2×Q82C2212yes—
24C2×Q82C2214yes—
25C2×Q82C2212yes—
26C22×C4⋊Q8—21no—
27C22×C4⋊Q8—22no—
28C22×C4⋊Q8C2211yescharacteristic
29C22×C4⋊Q8C2212yes—
30C22×C4×Q8—21no—
31C22×C4×Q8C2211yescharacteristic
32C22×C4×Q8C2212yes—
33C22×C4×Q8C2211yescharacteristic
34#3375—216no—
35C2×#489C2214yes—
36C2×#486C2212yes—
37C2×#477C2212yes—
38C2×#474C2214yes—
39C2×#464C2214yes—
40C2×#460C2212yes—
41C2×#451C2211yescharacteristic
42C2×#448C2212yes—
43C2×#446C2212yes—
44C2×#440C2214yes—
45C2×C4×Q16C2212yes—
46#2856C2211yescharacteristic
47#2850C2212yes—
48#2592C2212yes—
49#2582C2211yescharacteristic
50#2580C2212yes—
51#2548C2211yescharacteristic
52#2458—22no—
53#2448—21no—
54#2443—22no—
55#2436—21no—
56#2367—21no—
57#2361—21no—
58#2355C2211yescharacteristic
59C4×C22⋊Q8C2211yescharacteristic
60C4×#121C2212yes—
61#2057C2214yes—
62#2057C2212yes—
63#2024C2214yes—
64#2024C2212yes—
65#2023C2214yes—
66#2023C2214yes—
67#2023C2214yes—
68#1993C2214yes—
69#1990C2212yes—
70#1988C2214yes—
71#1987C2212yes—
72#1985C2214yes—
73#1984C2212yes—
74#1880C2214yes—
75#1880C2214yes—
76#1880C2214yes—
77#1878C2214yes—
78#1878C2212yes—
79#1874C2212yes—
80#1874C2212yes—
81#1874C2212yes—
82#1872C2211yescharacteristic
83#1872C2212yes—
84#1863C2214yes—
85#1863C2212yes—
86#1852C2211yescharacteristic
87#1852C2212yes—
88#1805C2214yes—
89#1803C2212yes—
90#1797C2211yescharacteristic
91#1797C2212yes—
92#1787C2211yescharacteristic
93#1763C2214yes—
94C4×#103C2212yes—
95#1749C2212yes—
96C4×C22⋊C8C2211yescharacteristic
97C23×Q8—22no—
98C23×Q8—21no—
99C23×Q8D411yescharacteristic
100C23×Q8C2311yescharacteristic
101C22×Q16C2312yes—
102C22×SD16C2314yes—
103#559—28no—
104Q82—216no—
105Q82—232no—
106Q82—216no—
107Q82—216no—
108Q82—28no—
109Q82—28no—
110Q82—216no—
111Q82—28no—
112Q82D4116yescomplemented
113C2×C4⋊Q8—216no—
114C2×C4⋊Q8—232no—
115C2×C4⋊Q8—216no—
116C2×C4⋊Q8—28no—
117C2×C4⋊Q8—24no—
118C2×C4⋊Q8—24no—
119C2×C4⋊Q8—22no—
120C2×C4⋊Q8—24no—
121C2×C4⋊Q8—24no—
122C2×C4⋊Q8—22no—
123C2×C4⋊Q8—24no—
124C2×C4⋊Q8—22no—
125C2×C4⋊Q8—21no—
126C2×C4⋊Q8—21no—
127C2×C4⋊Q8—22no—
128C2×C4⋊Q8C2314yes—
129C2×C4⋊Q8C2312yes—
130C2×C4⋊Q8C2312yes—
131C2×C4⋊Q8C2314yes—
132C2×#127C2311yescharacteristic
133C2×#124—21no—
134C2×#124—21no—
135C2×#124C2312yes—
136C2×#123—22no—
137C2×C22⋊Q8C2311yescharacteristic
138C2×#121—21no—
139C2×#121—21no—
140C2×#121C2312yes—
141C2×C4×Q8—216no—
142C2×C4×Q8—24no—
143C2×C4×Q8—22no—
144C2×C4×Q8—22no—
145C2×C4×Q8—28no—
146C2×C4×Q8—216no—
147C2×C4×Q8—28no—
148C2×C4×Q8—22no—
149C2×C4×Q8—21no—
150C2×C4×Q8—21no—
151C2×C4×Q8—22no—
152C2×C4×Q8D411yescharacteristic
153C2×C4×Q8D411yescharacteristic
154C2×C4×Q8D412yes—
155C2×C4×Q8C2311yescharacteristic
156C2×C4×Q8C2314yes—
157C2×C4×Q8C2312yes—
158C2×C4×Q8C2312yes—
159C2×C4×Q8C2314yes—
160C2×C4×Q8C2312yes—
161C2×C4×Q8C2311yescharacteristic
162C2×C4×Q8C2311yescharacteristic
163C2×C4×D4—22no—
164C2×C4×D4—21no—
165C2×C4×D4C2312yes—
166C22×C4⋊C4—22no—
167C22×C4⋊C4—21no—
168C22×C4⋊C4—22no—
169C22×C4⋊C4—21no—
170C22×C4⋊C4D411yescharacteristic
171C22×C4⋊C4D412yes—
172C22×C4⋊C4C2311yescharacteristic
173C22×C4⋊C4C2312yes—
174C22×C42—22no—
175C22×C42—21no—
176C22×C42C2312yes—
177C22×C42C2311yescharacteristic
178#489—216no—
179#486—28no—
180#477—28no—
181#474—216no—
182#464—216no—
183#460—28no—
184#451—24no—
185#448—28no—
186#446—28no—
187#440—216no—
188C4×Q16—28no—
189C2×#107C2314yes—
190C2×#107C2312yes—
191C2×C4⋊C8C2312yes—
192C2×C4⋊C8C2314yes—
193C2×#103C2314yes—
194C2×#103C2314yes—
195C2×#103C2312yes—
196C2×#103C2312yes—
197C2×#103C2312yes—
198C2×#103C2312yes—
199C2×#102C2314yes—
200C2×#102C2314yes—
201C2×#102C2314yes—
202C2×C22⋊C8C2312yes—
203C2×C22⋊C8C2311yescharacteristic
204C2×C22⋊C8C2311yescharacteristic
205C2×#97C2314yes—
206C2×C4×C8C2312yes—
207#399—22no—
208#398—22no—
209#397—22no—
210#394—22no—
211#393—22no—
212#393—22no—
213#391—21no—
214#391—21no—
215#391C2312yes—
216#391C2311yescharacteristic
217#390—21no—
218#390—21no—
219#390—21no—
220#390C2312yes—
221#390C2312yes—
222#390C2312yes—
223#389—21no—
224#389C2311yescharacteristic
225#389C2312yes—
226#388—22no—
227#388—22no—
228#388—22no—
229#388—22no—
230#388—22no—
231#387—22no—
232#387—21no—
233#386—22no—
234#386—22no—
235#386—22no—
236#385—21no—
237#385—22no—
238#385—22no—
239#384C2311yescharacteristic
240#382C2312yes—
241#380C2311yescharacteristic
242C4×C4⋊C4—21no—
243C4×C4⋊C4—21no—
244C4×C4⋊C4C2312yes—
245C4×C4⋊C4C2311yescharacteristic
246C4×C22⋊C4—21no—
247C4×C22⋊C4—22no—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#340C2312yes—
252#340C2314yes—
253#340C2312yes—
254#340C2314yes—
255#336C2314yes—
256#336C2312yes—
257#336C2312yes—
258#336C2314yes—
259C22×Q8—24no—
260C22×Q8—24no—
261C22×Q8—24no—
262C22×Q8—24no—
263C22×Q8—216no—
264C22×Q8—28no—
265C22×Q8—24no—
266C22×Q8—21no—
267C22×Q8—24no—
268C22×Q8—22no—
269C22×Q8—24no—
270C22×Q8—22no—
271C22×Q8—22no—
272C22×Q8—84no—
273C22×Q8—82no—
274C22×Q8—84no—
275C22×Q8—82no—
276C22×Q8C2×D412yes—
277C22×Q8C2×D411yescharacteristic
278C22×Q8C2×D411yescharacteristic
279C22×Q8#4114yes—
280C22×Q8C2411yescharacteristic
281C22×Q8C2412yes—
282C22×D4—22no—
283C22×D4—21no—
284C22×D4—21no—
285C22×D4C2412yes—
286C23×C4—21no—
287C23×C4—21no—
288C23×C4—22no—
289C23×C4—22no—
290C23×C4C2×D412yes—
291C23×C4C2×D412yes—
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2411yescharacteristic
295C2×Q16—24no—
296C2×Q16—24no—
297C2×Q16—24no—
298C2×SD16—28no—
299C2×SD16—28no—
300C2×SD16—28no—
301C22×C8C2414yes—
302C22×C8C2412yes—
303C22×C8C2412yes—
304C4⋊Q8—232no—
305C4⋊Q8—232no—
306C4⋊Q8—232no—
307C4⋊Q8—232no—
308C4⋊Q8—216no—
309C4⋊Q8—216no—
310C4⋊Q8—28no—
311C4⋊Q8—216no—
312C4⋊Q8—28no—
313C4⋊Q8—216no—
314C4⋊Q8—232no—
315C4⋊Q8—28no—
316C4⋊Q8—28no—
317C4⋊Q8—28no—
318C4⋊Q8—24no—
319C4⋊Q8—28no—
320C4⋊Q8C2×D4116yes—
321C4⋊Q8C2×D418yes—
322#127—24no—
323#124—28no—
324#124—44no—
325#124—44no—
326#123—48no—
327C22⋊Q8—22no—
328C22⋊Q8—22no—
329#121—24no—
330#121—24no—
331#121—44no—
332#121—82no—
333C4×Q8—232no—
334C4×Q8—216no—
335C4×Q8—216no—
336C4×Q8—28no—
337C4×Q8—216no—
338C4×Q8—28no—
339C4×Q8—216no—
340C4×Q8—24no—
341C4×Q8—24no—
342C4×Q8—28no—
343C4×Q8—24no—
344C4×Q8—28no—
345C4×Q8—28no—
346C4×Q8—24no—
347C4×Q8—24no—
348C4×Q8—28no—
349C4×Q8—24no—
350C4×Q8—28no—
351C4×Q8—24no—
352C4×Q8C2×D418yes—
353C4×Q8C2×D4116yes—
354C4×Q8C2×D418yes—
355C4×D4—28no—
356C4×D4—44no—
357C4×D4—84no—
358C2×C4⋊C4—216no—
359C2×C4⋊C4—28no—
360C2×C4⋊C4—216no—
361C2×C4⋊C4—28no—
362C2×C4⋊C4—24no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—24no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—24no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—24no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—22no—
372C2×C4⋊C4—24no—
373C2×C4⋊C4—28no—
374C2×C4⋊C4—28no—
375C2×C4⋊C4—24no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—22no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4C2×D412yes—
383C2×C4⋊C4C2×D412yes—
384C2×C4⋊C4C2×D411yescharacteristic
385C2×C4⋊C4C2×D412yes—
386C2×C4⋊C4C2×D412yes—
387C2×C4⋊C4C2×D411yescharacteristic
388C2×C4⋊C4C2×D412yes—
389C2×C4⋊C4C2411yescharacteristic
390C2×C4⋊C4C2412yes—
391C2×C4⋊C4C2411yescharacteristic
392C2×C4⋊C4C2411yescharacteristic
393C2×C4⋊C4C2412yes—
394C2×C4⋊C4C2414yes—
395C2×C22⋊C4—21no—
396C2×C22⋊C4—21no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4—22no—
400C2×C22⋊C4—22no—
401C2×C22⋊C4—22no—
402C2×C22⋊C4—22no—
403C2×C22⋊C4—22no—
404C2×C22⋊C4—22no—
405C2×C22⋊C4—22no—
406C2×C22⋊C4—22no—
407C2×C42—216no—
408C2×C42—28no—
409C2×C42—24no—
410C2×C42—22no—
411C2×C42—24no—
412C2×C42—22no—
413C2×C42—24no—
414C2×C42—28no—
415C2×C42—21no—
416C2×C42—21no—
417C2×C42—22no—
418C2×C42C2×D412yes—
419C2×C42C2×D411yescharacteristic
420C2×C42C2×D411yescharacteristic
421C2×C42C2×D412yes—
422C2×C42C2411yescharacteristic
423C2×C42C2412yes—
424C2×C42C2412yes—
425C2×C42C2411yescharacteristic
426#107—24no—
427#107—28no—
428C4⋊C8—24no—
429C4⋊C8—28no—
430#103—24no—
431#103—28no—
432#103—24no—
433#103—24no—
434#103—24no—
435#103—28no—
436#102—28no—
437#102—28no—
438#102—28no—
439C22⋊C8—24no—
440C22⋊C8—22no—
441C22⋊C8—22no—
442#97—28no—
443C4×C8—24no—
444#95—21no—
445#95—21no—
446#95—22no—
447#95—21no—
448#95—22no—
449#95—21no—
450#95—21no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455C24—22no—
456C24C22×D411yescharacteristic
457C2×Q8—24no—
458C2×Q8—216no—
459C2×Q8—232no—
460C2×Q8—24no—
461C2×Q8—216no—
462C2×Q8—216no—
463C2×Q8—28no—
464C2×Q8—24no—
465C2×Q8—22no—
466C2×Q8—216no—
467C2×Q8—28no—
468C2×Q8—24no—
469C2×Q8—24no—
470C2×Q8—24no—
471C2×Q8—22no—
472C2×Q8—22no—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—22no—
477C2×Q8—22no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—22no—
481C2×Q8—84no—
482C2×Q8—82no—
483C2×Q8—84no—
484C2×Q8—82no—
485C2×Q8—84no—
486C2×Q8—82no—
487C2×Q8—82no—
488C2×Q8—84no—
489C2×Q8—832no—
490C2×Q8—816no—
491C2×Q8#12014yes—
492C2×Q8#13714yes—
493C2×Q8C22×D414yes—
494C2×Q8C2×#4114yes—
495C2×Q82−1+414yes—
496C2×D4—24no—
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—24no—
500C2×D4—44no—
501C2×D4—44no—
502C2×D4—44no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—81no—
508C2×D4—81no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—22no—
514C22×C4—24no—
515C22×C4—22no—
516C22×C4—24no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—28no—
521C22×C4—24no—
522C22×C4—24no—
523C22×C4—22no—
524C22×C4—24no—
525C22×C4—22no—
526C22×C4—24no—
527C22×C4—22no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—22no—
532C22×C4—21no—
533C22×C4—42no—
534C22×C4—41no—
535C22×C4—42no—
536C22×C4—44no—
537C22×C4—42no—
538C22×C4—44no—
539C22×C4—44no—
540C22×C4—82no—
541C22×C4—82no—
542C22×C4#13714yes—
543C22×C4C22×D412yes—
544C22×C4C22×D411yescharacteristic
545C22×C4C22×D412yes—
546C22×C4C22×D412yes—
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D412yes—
550C22×C4C22×D411yescharacteristic
551C22×C4C22×D411yescharacteristic
552C22×C4C2×#4112yes—
553C22×C42−1+412yes—
554C22×C4C2511yescharacteristic
555Q16—48no—
556SD16—416no—
557C2×C8—22no—
558C2×C8—22no—
559C2×C8—24no—
560C2×C8—24no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—22no—
564C2×C8—24no—
565C2×C8—22no—
566C4⋊C4—216no—
567C4⋊C4—28no—
568C4⋊C4—216no—
569C4⋊C4—28no—
570C4⋊C4—28no—
571C4⋊C4—24no—
572C4⋊C4—216no—
573C4⋊C4—28no—
574C4⋊C4—216no—
575C4⋊C4—28no—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—24no—
580C4⋊C4—22no—
581C4⋊C4—22no—
582C4⋊C4—24no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—22no—
587C4⋊C4—22no—
588C4⋊C4—21no—
589C4⋊C4—42no—
590C4⋊C4—42no—
591C4⋊C4—42no—
592C4⋊C4—81no—
593C4⋊C4—82no—
594C4⋊C4—81no—
595C4⋊C4#12014yes—
596C4⋊C4#12018yes—
597C4⋊C4C22×D418yes—
598C4⋊C4C22×D414yes—
599C22⋊C4—42no—
600C22⋊C4—42no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—44no—
606C22⋊C4—44no—
607C22⋊C4—44no—
608C22⋊C4—82no—
609C22⋊C4—82no—
610C22⋊C4—82no—
611C42—216no—
612C42—28no—
613C42—216no—
614C42—28no—
615C42—24no—
616C42—22no—
617C42—24no—
618C42—22no—
619C42—22no—
620C42—24no—
621C42—42no—
622C42—42no—
623C42—82no—
624C42C22×D414yes—
625C42C22×D418yes—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23#54812yes—
638C23C2×#13712yes—
639C23#57612yes—
640C23C23×D411yescharacteristic
641Q8—216no—
642Q8—216no—
643Q8—24no—
644Q8—24no—
645Q8—24no—
646Q8—28no—
647Q8—28no—
648Q8—42no—
649Q8—42no—
650Q8—816no—
651Q8—88no—
652Q8—816no—
653Q8—88no—
654Q8#54818yes—
655D4—44no—
656D4—44no—
657D4—88no—
658D4—84no—
659D4—162no—
660C2×C4—216no—
661C2×C4—216no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—24no—
665C2×C4—22no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—21no—
675C2×C4—22no—
676C2×C4—21no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—28no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—22no—
683C2×C4—21no—
684C2×C4—28no—
685C2×C4—24no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—48no—
689C2×C4—44no—
690C2×C4—48no—
691C2×C4—416no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—42no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—42no—
708C2×C4—41no—
709C2×C4—42no—
710C2×C4—41no—
711C2×C4—164no—
712C2×C4C2×#12014yes—
713C2×C4C2×#12014yes—
714C2×C4C2×#12012yes—
715C2×C4C2×#12012yes—
716C2×C4#54812yes—
717C2×C4C2×#13714yes—
718C2×C4C2×#13712yes—
719C2×C4C2×#13712yes—
720C2×C4C2×#13712yes—
721C2×C4C23×D412yes—
722C2×C4C22×#4111yescharacteristic
723C2×C4C2×2−1+412yes—
724C2×C4C2×2−1+411yescharacteristic
725C8—44no—
726C8—42no—
727C8—42no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22#337514yescomplemented
742C22C22×#12011yescharacteristic
743C22C2×#54811yescharacteristic
744C22#348611yescharacteristic
745C22C22×#13711yescharacteristic
746C22C22×#13711yescharacteristic
747C22C2×#57611yescharacteristic
748C22#358511yescharacteristic
749C4—24no—
750C4—24no—
751C4—22no—
752C4—24no—
753C4—22no—
754C4—28no—
755C4—22no—
756C4—42no—
757C4—41no—
758C4—44no—
759C4—48no—
760C4—82no—
761C4—81no—
762C4—81no—
763C4—81no—
764C4—81no—
765C4#300414yes—
766C4C2×#54812yes—
767C4#348612yes—
768C2—24no—
769C2—162no—
770C2#3657511yescharacteristic
771C2C2×#300411yescharacteristic
772C2#6037211yescharacteristic
773C2C2×#337511yescharacteristic
774C2#6131911yescharacteristic
775C2#6183011yescharacteristic
776C2#6184411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#2856C22
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
1. C22×Q82C2semidirect
2. C2×#3375C2semidirect
4. #32909C2semidirect
6. #25942C2semidirect
7. #25932C2semidirect
8. #25908C2semidirect
10. #24341C2semidirect
11. #24333C2semidirect
12. #24302C2semidirect
13. #24298C2semidirect
14. #22525C2semidirect
15. #22510C2semidirect
16. #21454C2semidirect
17. C4×#451C2semidirect
112. Q82D4semidirect
741. C22#3375semidirect

Maximal subgroups

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

subgroupindex
C22×Q822
C2×#33752
#365802
#329092
#329032
#259422
#259322
#259082
#259032
#243412
#243332
#243022
#242982
#225252
#225102
#214542
C4×#4512