Finite Group Databasebeta

← #6392655

Subgroups — #6392655

Order 512.

2466 conjugacy classes of subgroups.

The subgroup lattice has 755 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2973C211yesmaximal, characteristic
2#34185C211yesmaximal, characteristic
3C2×D4×C4⋊C4C211yesmaximal, characteristic
4#22711C214yesmaximal, complemented
5#22709C214yesmaximal, complemented
6#22661C214yesmaximal, complemented
7#22659C214yesmaximal, complemented
8#21987C212yesmaximal, complemented
9#21944C212yesmaximal, complemented
10#21940C211yesmaximal, characteristic, complemented
11#21938C211yesmaximal, characteristic, complemented
12#21363C212yesmaximal, complemented
13#20844C212yesmaximal, complemented
14C2×#1853C211yesmaximal, characteristic, complemented
15C2×#1852C211yesmaximal, characteristic, complemented
16C22×C4×D4—21no—
17C22×C4×D4C2211yescharacteristic
18C23×C4⋊C4C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20#2973C4116yescomplemented
21C2×#435C2214yes—
22C2×#435C2214yes—
23C2×#432C2212yes—
24C2×#428C2214yescomplemented
25C22×#107C2212yescomplemented
26C22×#106C2212yescomplemented
27C2×#407C2212yes—
28C22×C22⋊C8C2211yescharacteristic
29C22×C22⋊C8C2211yescharacteristic
30#2353—22no—
31#2353—22no—
32#2352C2212yes—
33#2352C2212yes—
34#2352C2212yes—
35#2352C2212yes—
36D4×C4⋊C4—22no—
37D4×C4⋊C4—22no—
38D4×C4⋊C4C2214yes—
39D4×C4⋊C4C2214yes—
40#2313—21no—
41#2312—21no—
42#2308—21no—
43C2×#389—21no—
44C2×#385—21no—
45C2×#385—21no—
46C2×#384C2211yescharacteristic
47#2283C2212yes—
48#2280C2212yes—
49C2×#380C2211yescharacteristic
50C2×#380C2211yescharacteristic
51C2×#380C2211yescharacteristic
52C2×#380C2211yescharacteristic
53#2273—21no—
54C2×C4×C4⋊C4C2211yescharacteristic
55#1949C2214yescomplemented
56#1949C2214yescomplemented
57#1948C2214yescomplemented
58#1947C2214yescomplemented
59#1854C2214yescomplemented
60#1854C2214yescomplemented
61#1853C2212yes—
62#1853C2212yes—
63#1853C2212yes—
64#1853C2212yes—
65#1853C2214yescomplemented
66#1853C2214yescomplemented
67#1853C2212yescomplemented
68#1853C2212yescomplemented
69#1852C2212yes—
70#1852C2212yes—
71#1852C2212yes—
72#1852C2212yes—
73#1852C2214yescomplemented
74#1852C2214yescomplemented
75#1852C2212yescomplemented
76#1852C2212yescomplemented
77#1847C2214yescomplemented
78#1836C2214yescomplemented
79#1809C2214yescomplemented
80#1809C2214yescomplemented
81#1808C2214yescomplemented
82#1807C2214yescomplemented
83#1776C2214yescomplemented
84#1776C2214yescomplemented
85#1736C2214yescomplemented
86C2×#340C2212yescomplemented
87C2×#340C2212yescomplemented
88C23×D4D411yescharacteristic
89C24×C4—21no—
90C24×C4—21no—
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C22×M16C2314yes—
94C23×C8C2312yes—
95C23×C8C2312yes—
96C2×C4×D4—24no—
97C2×C4×D4—24no—
98C2×C4×D4—48no—
99C2×C4×D4C2×C418yes—
100C2×C4×D4D412yes—
101C2×C4×D4D412yes—
102C2×C4×D4Q818yes—
103C2×C4×D4C2312yes—
104C2×C4×D4C2312yes—
105C2×#117C2312yes—
106C2×#117C2312yes—
107C22×C4⋊C4—21no—
108C22×C4⋊C4—21no—
109C22×C4⋊C4—22no—
110C22×C4⋊C4—21no—
111C22×C4⋊C4—21no—
112C22×C4⋊C4—21no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—44no—
115C22×C4⋊C4—44no—
116C22×C4⋊C4D411yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2314yes—
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4D411yescharacteristic
133C22×C22⋊C4D411yescharacteristic
134C22×C42—21no—
135C22×C42C2311yescharacteristic
136#435C2×C4132yescomplemented
137#435C2×C4132yescomplemented
138#432C2×C4116yescomplemented
139#428—48no—
140C2×#107—44no—
141C2×#107C2314yes—
142C2×#107C2314yes—
143C2×#107C2314yes—
144C2×#107C2314yes—
145C2×#106—44no—
146C2×#106C2314yes—
147C2×#106C2314yes—
148C2×#106C2314yes—
149C2×#106C2314yes—
150C2×C4⋊C8C2314yes—
151#407C2×C4116yescomplemented
152C2×C22⋊C8C2×C418yescomplemented
153C2×C22⋊C8C2×C418yescomplemented
154C2×C22⋊C8C2312yes—
155C2×C22⋊C8C2312yes—
156C2×C22⋊C8C2312yes—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2314yes—
159C2×#97C2314yes—
160#389—24no—
161#389—24no—
162#388—22no—
163#388—22no—
164#388—22no—
165#388—22no—
166#387—22no—
167#387—22no—
168#387—22no—
169#387—22no—
170#386—22no—
171#386—22no—
172#386—22no—
173#386—22no—
174#385—24no—
175#385—24no—
176#385—24no—
177#385—24no—
178#384—22no—
179#384C2314yes—
180#383—22no—
181#382C2312yes—
182#382C2312yes—
183#381—22no—
184#381—22no—
185#380—21no—
186#380—21no—
187#380—21no—
188#380—21no—
189#380—22no—
190#380—21no—
191#380—21no—
192#380C2312yes—
193#380C2312yes—
194#380C2312yes—
195#380C2312yes—
196#380C2314yes—
197#380C2312yes—
198#380C2312yes—
199#380C2312yes—
200#380C2312yes—
201#379—22no—
202C4×C4⋊C4—22no—
203C4×C4⋊C4C2314yes—
204C4×C4⋊C4C2312yes—
205C4×C4⋊C4C2312yes—
206C4×C22⋊C4—22no—
207C4×C22⋊C4—22no—
208C4×C22⋊C4—22no—
209C4×C22⋊C4—22no—
210C4×C22⋊C4—22no—
211C4×C22⋊C4—22no—
212C4×C22⋊C4—22no—
213#376—22no—
214C2×#95—21no—
215C2×#95—21no—
216C2×#95—21no—
217C2×#95—21no—
218C2×#95—21no—
219#340C2314yes—
220#340C2314yes—
221#340C2314yes—
222#340C2314yes—
223#340C2314yes—
224#340C2314yes—
225#340C2314yes—
226#340C2314yes—
227C25C2×D411yescharacteristic
228C25C2×D411yescharacteristic
229C22×D4—24no—
230C22×D4—24no—
231C22×D4C4⋊C418yes—
232C22×D4C2×D412yes—
233C22×D4C2×D412yes—
234C23×C4—21no—
235C23×C4—21no—
236C23×C4—21no—
237C23×C4—21no—
238C23×C4—24no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—21no—
242C23×C4—21no—
243C23×C4—21no—
244C23×C4—21no—
245C23×C4—42no—
246C23×C4—42no—
247C23×C4—42no—
248C23×C4—42no—
249C23×C4—44no—
250C23×C4—44no—
251C23×C4—44no—
252C23×C4—44no—
253C23×C4—82no—
254C23×C4—82no—
255C23×C4C22×C414yes—
256C23×C4C22×C414yes—
257C23×C4C2×D411yescharacteristic
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D412yes—
264C23×C4C2×Q814yes—
265C23×C4C2×Q814yes—
266C23×C4C2411yescharacteristic
267C23×C4C2411yescharacteristic
268C23×C4C2411yescharacteristic
269C23×C4C2412yes—
270C2×M16—44no—
271C2×M16—44no—
272C2×M16C22×C4116yescomplemented
273C22×C8—42no—
274C22×C8—42no—
275C22×C8—42no—
276C22×C8—42no—
277C22×C8C22×C418yescomplemented
278C22×C8C22×C418yescomplemented
279C22×C8C2414yes—
280C22×C8C2414yes—
281C4×D4—416no—
282C4×D4—416no—
283C4×D4C4⋊C4116yes—
284C4×D4C4⋊C4116yes—
285C4×D4C22×C418yes—
286C4×D4C22×C418yes—
287C4×D4C2×Q818yes—
288C4×D4C2×Q818yes—
289#117—44no—
290#117—44no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—28no—
296C2×C4⋊C4—21no—
297C2×C4⋊C4—21no—
298C2×C4⋊C4—24no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—24no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—42no—
309C2×C4⋊C4—44no—
310C2×C4⋊C4—42no—
311C2×C4⋊C4—42no—
312C2×C4⋊C4—42no—
313C2×C4⋊C4—42no—
314C2×C4⋊C4—42no—
315C2×C4⋊C4—42no—
316C2×C4⋊C4—42no—
317C2×C4⋊C4—42no—
318C2×C4⋊C4—48no—
319C2×C4⋊C4—44no—
320C2×C4⋊C4—44no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4—44no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—82no—
325C2×C4⋊C4C4⋊C418yes—
326C2×C4⋊C4C2×D412yes—
327C2×C4⋊C4C2×D412yes—
328C2×C4⋊C4C2412yes—
329C2×C4⋊C4C2412yes—
330C2×C4⋊C4C2412yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—22no—
338C2×C22⋊C4—22no—
339C2×C22⋊C4—22no—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4C4⋊C418yes—
352C2×C22⋊C4C4⋊C418yes—
353C2×C22⋊C4C2×D412yes—
354C2×C22⋊C4C2×D412yes—
355C2×C22⋊C4C2×D412yes—
356C2×C22⋊C4C2×D412yes—
357C2×C42—24no—
358C2×C42—22no—
359C2×C42—22no—
360C2×C42—22no—
361C2×C42—22no—
362C2×C42—44no—
363C2×C42C22×C414yes—
364C2×C42C2×D412yes—
365C2×C42C2×Q814yes—
366C2×C42C2412yes—
367#107—28no—
368#107—44no—
369#107—44no—
370#107—44no—
371#106—28no—
372#106—44no—
373#106—44no—
374#106—44no—
375C4⋊C8C22×C4116yescomplemented
376C22⋊C8C22×C418yes—
377C22⋊C8C22×C418yes—
378C22⋊C8C22×C418yescomplemented
379C22⋊C8C22×C418yescomplemented
380C22⋊C8C22×C4116yescomplemented
381#97C22×C4116yescomplemented
382#95—22no—
383#95—22no—
384#95—24no—
385#95—24no—
386#95—22no—
387#95—22no—
388#95—22no—
389#95—22no—
390#95—22no—
391#95—22no—
392#95—22no—
393#95—22no—
394#95—22no—
395#95—22no—
396#95—22no—
397#95—22no—
398C24—22no—
399C24—22no—
400C24—41no—
401C24—41no—
402C24—41no—
403C24—41no—
404C24—41no—
405C24—41no—
406C24—41no—
407C24—41no—
408C24C2×C4⋊C414yes—
409C24C2×C4⋊C414yes—
410C24AGL(1,ℤ/8)14yes—
411C24#13714yes—
412C24C22×D412yes—
413C24C22×D411yescharacteristic
414C24C22×D411yescharacteristic
415C24C22×D411yescharacteristic
416C2×D4—24no—
417C2×D4—24no—
418C2×D4—24no—
419C2×D4—24no—
420C2×D4—232no—
421C2×D4C2×C4⋊C418yes—
422C2×D4C2×C4⋊C418yes—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—24no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—24no—
433C22×C4—24no—
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—48no—
443C22×C4—48no—
444C22×C4—48no—
445C22×C4—48no—
446C22×C4—41no—
447C22×C4—42no—
448C22×C4—41no—
449C22×C4—41no—
450C22×C4—41no—
451C22×C4—41no—
452C22×C4—41no—
453C22×C4—42no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—41no—
458C22×C4—44no—
459C22×C4—44no—
460C22×C4—48no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—48no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—44no—
474C22×C4—44no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—82no—
480C22×C4—82no—
481C22×C4—84no—
482C22×C4—81no—
483C22×C4—81no—
484C22×C4—81no—
485C22×C4—81no—
486C22×C4—81no—
487C22×C4—81no—
488C22×C4—81no—
489C22×C4—81no—
490C22×C4—816no—
491C22×C4—816no—
492C22×C4C2×C4⋊C414yes—
493C22×C4C2×C4⋊C414yes—
494C22×C4C2×C4⋊C414yes—
495C22×C4C2×C4⋊C414yes—
496C22×C4C2×C4⋊C418yes—
497C22×C4C2×C4⋊C414yes—
498C22×C4C2×C4⋊C414yes—
499C22×C4C23×C412yes—
500C22×C4C23×C412yes—
501C22×C4C23×C412yes—
502C22×C4C23×C414yes—
503C22×C4C22×D412yes—
504C22×C4C22×D412yes—
505C22×C4C22×D412yes—
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D411yescharacteristic
509C22×C4C22×Q812yes—
510C22×C4C22×Q814yes—
511C22×C4C22×Q812yes—
512C22×C4C22×Q812yes—
513C22×C4C2511yescharacteristic
514M16—416no—
515C2×C8—24no—
516C2×C8—24no—
517C2×C8—24no—
518C2×C8—24no—
519C2×C8—48no—
520C2×C8—48no—
521C2×C8C23×C418yes—
522C2×C8C23×C418yes—
523C4⋊C4—24no—
524C4⋊C4—22no—
525C4⋊C4—24no—
526C4⋊C4—22no—
527C4⋊C4—24no—
528C4⋊C4—24no—
529C4⋊C4—22no—
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—24no—
533C4⋊C4—48no—
534C4⋊C4—44no—
535C4⋊C4—44no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—48no—
540C4⋊C4—81no—
541C4⋊C4—81no—
542C4⋊C4—81no—
543C4⋊C4—81no—
544C4⋊C4—84no—
545C4⋊C4C2×C4⋊C418yes—
546C4⋊C4C2×C4⋊C418yes—
547C4⋊C4H(5,𝔽2)14yes—
548C22⋊C4—48no—
549C22⋊C4—44no—
550C22⋊C4—44no—
551C22⋊C4—44no—
552C22⋊C4—44no—
553C22⋊C4—44no—
554C22⋊C4—44no—
555C22⋊C4—82no—
556C22⋊C4—82no—
557C22⋊C4—82no—
558C22⋊C4—82no—
559C22⋊C4C2×C4⋊C418yes—
560C22⋊C4C2×C4⋊C418yes—
561C22⋊C4C2×C4⋊C418yes—
562C22⋊C4C2×C4⋊C418yes—
563C42—48no—
564C42—82no—
565C42—82no—
566C42—82no—
567C42—82no—
568C42C2×C4⋊C418yes—
569C42C23×C414yes—
570C42C22×Q814yes—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—22no—
584C23—22no—
585C23—28no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—44no—
591C23—44no—
592C23—44no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23#428116yescomplemented
603C23C22×C4⋊C414yes—
604C23C22×C4⋊C412yes—
605C23C22×C4⋊C412yes—
606C23C22×C4⋊C412yes—
607C23C2×AGL(1,ℤ/8)12yes—
608C23C2×AGL(1,ℤ/8)12yes—
609C23C2×AGL(1,ℤ/8)12yes—
610C23C2×#13712yes—
611C23C2×#13712yes—
612C23C2×#13712yes—
613C23C23×D411yescharacteristic
614D4—216no—
615D4—216no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—28no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—28no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—28no—
637C2×C4—24no—
638C2×C4—44no—
639C2×C4—44no—
640C2×C4—48no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—44no—
644C2×C4—48no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
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—88no—
669C2×C4—88no—
670C2×C4—816no—
671C2×C4—84no—
672C2×C4—84no—
673C2×C4—84no—
674C2×C4—162no—
675C2×C4—162no—
676C2×C4—162no—
677C2×C4—162no—
678C2×C4C22×C4⋊C412yes—
679C2×C4C22×C4⋊C414yes—
680C2×C4C22×C4⋊C414yes—
681C2×C4C22×C4⋊C412yes—
682C2×C4C22×C4⋊C412yes—
683C2×C4C22×C4⋊C414yes—
684C2×C4C24×C411yescharacteristic
685C2×C4C23×Q811yescharacteristic
686C2×C4C2×H(5,𝔽2)12yes—
687C2×C4#58512yes—
688C8—28no—
689C8—28no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—24no—
709C22—24no—
710C22—24no—
711C22—416no—
712C22—416no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22C2×#42814yes—
718C22C2×#42814yes—
719C22C2×#42814yes—
720C22C23×C4⋊C411yescharacteristic
721C22#348411yescharacteristic
722C22#348511yescharacteristic
723C22C22×AGL(1,ℤ/8)11yescharacteristic
724C22C22×#13711yescharacteristic
725C22#358511yescharacteristic
726C22#358611yescharacteristic
727C4—22no—
728C4—24no—
729C4—22no—
730C4—22no—
731C4—24no—
732C4—24no—
733C4—44no—
734C4—82no—
735C4—82no—
736C4—82no—
737C4—82no—
738C4—82no—
739C4—82no—
740C4—82no—
741C4C4×H(5,𝔽2)12yes—
742C4#350112yes—
743C2—24no—
744C2—24no—
745C2—24no—
746C2—44no—
747C2#3424811yescharacteristic
748C2C22×#42811yescharacteristic
749C2#6010911yescharacteristic
750C2#6157111yescharacteristic
751C2#6157411yescharacteristic
752C2#6170611yescharacteristic
753C2#6170911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
4. #22711C2semidirect
5. #22709C2semidirect
6. #22661C2semidirect
7. #22659C2semidirect
8. #21987C2semidirect
9. #21944C2semidirect
10. #21940C2semidirect
11. #21938C2semidirect
12. #21363C2semidirect
13. #20844C2semidirect
14. C2×#1853C2semidirect
15. C2×#1852C2semidirect
20. #2973C4semidirect
24. C2×#428C22semidirect
25. C22×#107C22semidirect
26. C22×#106C22semidirect
55. #1949C22semidirect
56. #1949C22semidirect
57. #1948C22semidirect
58. #1947C22semidirect
59. #1854C22semidirect
60. #1854C22semidirect
65. #1853C22semidirect
66. #1853C22semidirect
67. #1853C22semidirect
68. #1853C22semidirect
73. #1852C22semidirect
74. #1852C22semidirect
75. #1852C22semidirect
76. #1852C22semidirect
77. #1847C22semidirect
78. #1836C22semidirect
79. #1809C22semidirect
80. #1809C22semidirect
81. #1808C22semidirect
82. #1807C22semidirect
83. #1776C22semidirect
84. #1776C22semidirect
85. #1736C22semidirect
86. C2×#340C22semidirect
87. C2×#340C22semidirect
136. #435C2×C4semidirect
137. #435C2×C4semidirect
138. #432C2×C4semidirect
151. #407C2×C4semidirect
152. C2×C22⋊C8C2×C4semidirect
153. C2×C22⋊C8C2×C4semidirect
272. C2×M16C22×C4semidirect
277. C22×C8C22×C4semidirect
278. C22×C8C22×C4semidirect
375. C4⋊C8C22×C4semidirect
378. C22⋊C8C22×C4semidirect
379. C22⋊C8C22×C4semidirect
380. C22⋊C8C22×C4semidirect
381. #97C22×C4semidirect
602. C23#428semidirect

Maximal subgroups

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

subgroupindex
C2×#29732
#341852
C2×D4×C4⋊C42
#227112
#227092
#226612
#226592
#219872
#219442
#219402
#219382
#213632
#208442
C2×#18532
C2×#18522