Finite Group Databasebeta

← #6473036

Subgroups — #6473036

Order 512.

2362 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3189C212yesmaximal
2C2×#2857C211yesmaximal, characteristic
3C2×C4×C22⋊Q8C211yesmaximal, characteristic
4#33109C212yesmaximal, complemented
5#32906C212yesmaximal, complemented
6#29757C212yesmaximal, complemented
7#29715C212yesmaximal, complemented
8#28575C214yesmaximal, complemented
9#28121C214yesmaximal, complemented
10#27648C212yesmaximal, complemented
11#24752C214yesmaximal, complemented
12#24212C212yesmaximal, complemented
13#21759C212yesmaximal
14C2×#1797C211yesmaximal, characteristic
15C22×C4⋊Q8C2211yescharacteristic
16C22×C22⋊Q8C2212yes—
17C22×C22⋊Q8C2211yescharacteristic
18C22×C4×Q8C2211yescharacteristic
19C23×C42C2211yescharacteristic
20#3189—216no—
21C2×#484C2214yes—
22C2×#484C2214yes—
23C2×#467C2218yes—
24C2×#462C2214yescomplemented
25C2×#451C2214yes—
26C2×#451C2214yes—
27C22×C4⋊C8C2212yes—
28C22×C22⋊C8C2212yes—
29#2857—21no—
30#2857—21no—
31#2857—21no—
32#2857—21no—
33#2857C2212yes—
34#2857C2212yes—
35#2857C2212yes—
36#2857C2212yes—
37C4×C22⋊Q8—21no—
38C4×C22⋊Q8—21no—
39C4×C22⋊Q8—21no—
40C4×C22⋊Q8—21no—
41C4×C22⋊Q8C2212yes—
42C4×C22⋊Q8C2212yes—
43C4×C22⋊Q8C2212yes—
44C4×C22⋊Q8C2212yes—
45C2×#391C2212yes—
46C2×#391C2211yescharacteristic
47C2×#389—21no—
48C2×#389—21no—
49C2×#389C2211yescharacteristic
50C2×#387—21no—
51C2×#385—21no—
52C2×#384C2211yescharacteristic
53C2×#380—21no—
54C2×#380—21no—
55C2×#380C2211yescharacteristic
56C2×C4×C4⋊C4—21no—
57C2×C4×C4⋊C4C2211yescharacteristic
58C2×C4×C22⋊C4—21no—
59#2083C2214yescomplemented
60#2072C2214yescomplemented
61#2068C2218yescomplemented
62#2056C2218yescomplemented
63#2043C2214yescomplemented
64#2016C2214yescomplemented
65#1981C2214yescomplemented
66#1947C2214yescomplemented
67#1928C2218yescomplemented
68#1892C2218yes—
69#1878C2218yescomplemented
70#1872C2214yes—
71#1872C2214yes—
72#1824C2214yes—
73#1803C2214yescomplemented
74#1797C2212yes—
75#1797C2212yes—
76#1797C2212yes—
77#1797C2212yes—
78#1787C2214yes—
79C2×#336C2212yes—
80C23×Q8C2312yes—
81C23×Q8C2311yescharacteristic
82C24×C4D411yescharacteristic
83C24×C4D411yescharacteristic
84C24×C4C2311yescharacteristic
85C22×Q16C2318yes—
86C23×C8C2314yes—
87C2×C4⋊Q8—21no—
88C2×C4⋊Q8—21no—
89C2×C4⋊Q8—44no—
90C2×C4⋊Q8C2312yes—
91C2×C4⋊Q8C2312yes—
92C2×C22⋊Q8—21no—
93C2×C22⋊Q8—21no—
94C2×C22⋊Q8—24no—
95C2×C22⋊Q8—22no—
96C2×C22⋊Q8—22no—
97C2×C22⋊Q8—28no—
98C2×C22⋊Q8—28no—
99C2×C22⋊Q8D418yes—
100C2×C22⋊Q8C2314yes—
101C2×C22⋊Q8C2314yes—
102C2×C22⋊Q8C2312yes—
103C2×C22⋊Q8C2312yes—
104C2×C4×Q8—21no—
105C2×C4×Q8—21no—
106C2×C4×Q8—44no—
107C2×C4×Q8C2312yes—
108C2×C4×Q8C2312yes—
109C22×C4⋊C4—21no—
110C22×C4⋊C4—21no—
111C22×C4⋊C4—22no—
112C22×C4⋊C4—21no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C22⋊C4—21no—
122C22×C22⋊C4—22no—
123C22×C22⋊C4—21no—
124C22×C42—21no—
125C22×C42—21no—
126C22×C42—44no—
127C22×C42D411yescharacteristic
128C22×C42D411yescharacteristic
129C22×C42D411yescharacteristic
130C22×C42D411yescharacteristic
131C22×C42D411yescharacteristic
132C22×C42D411yescharacteristic
133C22×C42C2311yescharacteristic
134C22×C42C2311yescharacteristic
135C22×C42C2311yescharacteristic
136C22×C42C2311yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139#484—216no—
140#484—216no—
141#467—232no—
142#462—48no—
143#451—216no—
144#451—216no—
145C2×#107C2318yes—
146C2×C4⋊C8—44no—
147C2×C4⋊C8C2314yes—
148C2×C4⋊C8C2314yes—
149C2×#103C2318yes—
150C2×#103C2318yes—
151C2×#103C2318yes—
152C2×#103C2318yes—
153C2×C22⋊C8—28no—
154C2×C22⋊C8C2314yes—
155C2×C22⋊C8C2314yes—
156#391—22no—
157#391—22no—
158#391—21no—
159#391—21no—
160#391C2312yes—
161#391C2314yes—
162#391C2312yes—
163#391C2314yes—
164#389—22no—
165#389—22no—
166#389—22no—
167#389—22no—
168#389—22no—
169#389—22no—
170#389—22no—
171#389—22no—
172#389—21no—
173#389—21no—
174#389C2312yes—
175#389C2312yes—
176#387—22no—
177#387—22no—
178#387—22no—
179#387—22no—
180#385—22no—
181#385—22no—
182#385—22no—
183#385—22no—
184#384—21no—
185#384—21no—
186#384C2312yes—
187#384C2312yes—
188#380—22no—
189#380—22no—
190#380—22no—
191#380—22no—
192#380—22no—
193#380—22no—
194#380—22no—
195#380—22no—
196#380—21no—
197#380—21no—
198#380C2312yes—
199#380C2312yes—
200C4×C4⋊C4—22no—
201C4×C4⋊C4—22no—
202C4×C4⋊C4—22no—
203C4×C4⋊C4—22no—
204C4×C4⋊C4—21no—
205C4×C4⋊C4—21no—
206C4×C4⋊C4C2312yes—
207C4×C4⋊C4C2312yes—
208C4×C22⋊C4—22no—
209C4×C22⋊C4—22no—
210C4×C22⋊C4—22no—
211C4×C22⋊C4—22no—
212C2×#95—21no—
213C2×#95—21no—
214C2×#95—21no—
215C2×#95—21no—
216C2×#95—21no—
217C2×#95—22no—
218C2×#95—22no—
219#340C2318yes—
220#340C2318yes—
221#336C2314yes—
222#336C2314yes—
223C25C2×D411yescharacteristic
224C22×Q8—21no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—24no—
228C22×Q8—24no—
229C22×Q8—42no—
230C22×Q8—42no—
231C22×Q8—44no—
232C22×Q8—44no—
233C22×Q8C2×D414yes—
234C22×Q8C2414yes—
235C22×Q8C2412yes—
236C23×C4—24no—
237C23×C4—21no—
238C23×C4—21no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—21no—
242C23×C4—21no—
243C23×C4—42no—
244C23×C4—42no—
245C23×C4—42no—
246C23×C4—42no—
247C23×C4—42no—
248C23×C4—42no—
249C23×C4Q1618yescomplemented
250C23×C4C2×D411yescharacteristic
251C23×C4C2×D411yescharacteristic
252C23×C4C2×D411yescharacteristic
253C23×C4C2×D411yescharacteristic
254C23×C4C2×D411yescharacteristic
255C23×C4C2×D411yescharacteristic
256C23×C4C2×D411yescharacteristic
257C23×C4C2×D411yescharacteristic
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D414yes—
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4#4114yes—
267C23×C4C2411yescharacteristic
268C23×C4C2411yescharacteristic
269C23×C4C2411yescharacteristic
270C2×Q16—216no—
271C2×Q16—48no—
272C2×Q16—48no—
273C22×C8—28no—
274C22×C8—44no—
275C22×C8—44no—
276C22×C8C2418yes—
277C4⋊Q8—28no—
278C4⋊Q8—44no—
279C4⋊Q8—44no—
280C4⋊Q8—44no—
281C22⋊Q8—28no—
282C22⋊Q8—28no—
283C22⋊Q8—24no—
284C22⋊Q8—24no—
285C22⋊Q8—28no—
286C22⋊Q8—28no—
287C22⋊Q8—28no—
288C22⋊Q8—28no—
289C22⋊Q8—48no—
290C22⋊Q8—48no—
291C22⋊Q8C2×D418yes—
292C22⋊Q8C2×D418yes—
293C4×Q8—28no—
294C4×Q8—44no—
295C4×Q8—44no—
296C4×Q8—44no—
297C2×C4⋊C4—28no—
298C2×C4⋊C4—22no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—24no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—24no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—42no—
322C2×C4⋊C4—42no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4—44no—
326C2×C4⋊C4—44no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—48no—
330C2×C4⋊C4C2×D414yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2414yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C22⋊C4—28no—
336C2×C22⋊C4—22no—
337C2×C22⋊C4—22no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—48no—
343C2×C22⋊C4—44no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—24no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—22no—
350C2×C42—22no—
351C2×C42—42no—
352C2×C42—42no—
353C2×C42—42no—
354C2×C42—42no—
355C2×C42—42no—
356C2×C42—42no—
357C2×C42—42no—
358C2×C42—42no—
359C2×C42—42no—
360C2×C42—44no—
361C2×C42—44no—
362C2×C42C2×D411yescharacteristic
363C2×C42C2×D411yescharacteristic
364C2×C42C2×D411yescharacteristic
365C2×C42C2×D411yescharacteristic
366C2×C42C2×D411yescharacteristic
367C2×C42C2×D411yescharacteristic
368C2×C42C2×D411yescharacteristic
369C2×C42C2×D411yescharacteristic
370C2×C42C2×D411yescharacteristic
371C2×C42C2×D411yescharacteristic
372C2×C42C2×D411yescharacteristic
373C2×C42C2×D411yescharacteristic
374C2×C42C2411yescharacteristic
375C2×C42C2411yescharacteristic
376C2×C42C2411yescharacteristic
377C2×C42C2411yescharacteristic
378#107—216no—
379C4⋊C8—28no—
380C4⋊C8—44no—
381#103—216no—
382#103—216no—
383#103—48no—
384#103—48no—
385C22⋊C8—28no—
386C22⋊C8—28no—
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—24no—
398#95—24no—
399#95—24no—
400#95—24no—
401C24—41no—
402C24—41no—
403C24—41no—
404C24—41no—
405C24#12114yes—
406C24C2×Q1614yes—
407C24#13714yes—
408C24C22×D411yescharacteristic
409C24C22×D411yescharacteristic
410C24C22×D411yescharacteristic
411C2×Q8—24no—
412C2×Q8—22no—
413C2×Q8—24no—
414C2×Q8—24no—
415C2×Q8—24no—
416C2×Q8—28no—
417C2×Q8—24no—
418C2×Q8—28no—
419C2×Q8—48no—
420C2×Q8—42no—
421C2×Q8—42no—
422C2×Q8—48no—
423C2×Q8—44no—
424C2×Q8—44no—
425C2×Q8—44no—
426C2×Q8—88no—
427C2×Q8—88no—
428C2×Q8C22×D414yes—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
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—22no—
443C22×C4—22no—
444C22×C4—24no—
445C22×C4—24no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—24no—
460C22×C4—24no—
461C22×C4—416no—
462C22×C4—48no—
463C22×C4—48no—
464C22×C4—41no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—41no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—41no—
476C22×C4—41no—
477C22×C4—41no—
478C22×C4—41no—
479C22×C4—41no—
480C22×C4—41no—
481C22×C4—41no—
482C22×C4—416no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—44no—
490C22×C4—42no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—42no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4#12114yes—
500C22×C4#12114yes—
501C22×C4#12114yes—
502C22×C4C2×Q1614yes—
503C22×C4C2×Q1614yes—
504C22×C4C2×Q1614yes—
505C22×C4C2×Q1614yes—
506C22×C4C2×Q1614yes—
507C22×C4C2×Q1614yes—
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D411yescharacteristic
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C2×#4112yes—
523C22×C4C2×#4112yes—
524C22×C4C2×#4112yes—
525C22×C4C2511yescharacteristic
526Q16—816no—
527C2×C8—28no—
528C2×C8—28no—
529C2×C8—28no—
530C2×C8—88no—
531C4⋊C4—28no—
532C4⋊C4—28no—
533C4⋊C4—24no—
534C4⋊C4—22no—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—42no—
540C4⋊C4—44no—
541C4⋊C4—44no—
542C4⋊C4—44no—
543C4⋊C4—42no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—48no—
549C4⋊C4—48no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4C22×D414yes—
557C22⋊C4—28no—
558C22⋊C4—28no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—44no—
562C22⋊C4—44no—
563C42—22no—
564C42—22no—
565C42—22no—
566C42—22no—
567C42—22no—
568C42—22no—
569C42—22no—
570C42—22no—
571C42—22no—
572C42—41no—
573C42—41no—
574C42—41no—
575C42—41no—
576C42—41no—
577C42—41no—
578C42—44no—
579C42—44no—
580C42—44no—
581C42—44no—
582C42H(5,𝔽2)14yes—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—44no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23#462116yescomplemented
602C23C2×#12112yes—
603C23C2×#12112yes—
604C23C2×#12112yes—
605C23C22×Q1612yes—
606C23C22×Q1612yes—
607C23C22×Q1612yes—
608C23C2×#13712yes—
609C23C2×#13712yes—
610C23C2×#13712yes—
611C23C23×D411yescharacteristic
612Q8—28no—
613Q8—48no—
614Q8—44no—
615Q8—48no—
616Q8—48no—
617Q8—88no—
618C2×C4—28no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—28no—
636C2×C4—28no—
637C2×C4—28no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—44no—
653C2×C4—44no—
654C2×C4—44no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—48no—
663C2×C4—44no—
664C2×C4—48no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—42no—
674C2×C4—44no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—84no—
682C2×C4—84no—
683C2×C4—88no—
684C2×C4—88no—
685C2×C4C2×#12112yes—
686C2×C4C2×#12112yes—
687C2×C4C2×#12112yes—
688C2×C4#53412yes—
689C2×C4#53412yes—
690C2×C4C22×Q1612yes—
691C2×C4C22×Q1612yes—
692C2×C4C22×Q1612yes—
693C2×C4C22×Q1612yes—
694C2×C4#57512yes—
695C2×C4#57512yes—
696C2×C4C23×D411yescharacteristic
697C2×C4C22×#4111yescharacteristic
698C2×C4C2×H(5,𝔽2)12yes—
699C2×C4#58512yes—
700C8—48no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—416no—
720C22C2×#46214yes—
721C22C2×#46214yes—
722C22C2×#46214yes—
723C22C22×#12111yescharacteristic
724C22C2×#53411yescharacteristic
725C22#344911yescharacteristic
726C22C23×Q1611yescharacteristic
727C22C22×#13711yescharacteristic
728C22C2×#57511yescharacteristic
729C22C2×#57511yescharacteristic
730C4—22no—
731C4—22no—
732C4—22no—
733C4—22no—
734C4—22no—
735C4—22no—
736C4—22no—
737C4—22no—
738C4—41no—
739C4—41no—
740C4—44no—
741C4—44no—
742C4—82no—
743C4—82no—
744C4—84no—
745C4—84no—
746C4#318914yescomplemented
747C4#349612yes—
748C4#350512yes—
749C2—24no—
750C2—24no—
751C2—24no—
752C2#3500011yescharacteristic
753C2C22×#46211yescharacteristic
754C2#6041511yescharacteristic
755C2C2×#318911yescharacteristic
756C2#6075111yescharacteristic
757C2#6094311yescharacteristic
758C2#6096011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC25C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
4. #33109C2semidirect
5. #32906C2semidirect
6. #29757C2semidirect
7. #29715C2semidirect
8. #28575C2semidirect
9. #28121C2semidirect
10. #27648C2semidirect
11. #24752C2semidirect
12. #24212C2semidirect
24. C2×#462C22semidirect
59. #2083C22semidirect
60. #2072C22semidirect
61. #2068C22semidirect
62. #2056C22semidirect
63. #2043C22semidirect
64. #2016C22semidirect
65. #1981C22semidirect
66. #1947C22semidirect
67. #1928C22semidirect
69. #1878C22semidirect
73. #1803C22semidirect
249. C23×C4Q16semidirect
601. C23#462semidirect
746. C4#3189semidirect

Maximal subgroups

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

subgroupindex
C2×#31892
C2×#28572
C2×C4×C22⋊Q82
#331092
#329062
#297572
#297152
#285752
#281212
#276482
#247522
#242122
#217592
C2×#17972