Finite Group Databasebeta

← #6506538

Subgroups — #6506538

Order 512.

2076 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35019C211yesmaximal, characteristic
2C2×#2440C211yesmaximal, characteristic, complemented
3#29336C212yesmaximal, complemented
4#29336C212yesmaximal, complemented
5#27978C212yesmaximal, complemented
6#27713C214yesmaximal, complemented
7#27711C214yesmaximal, complemented
8#27266C214yesmaximal, complemented
9#27262C214yesmaximal, complemented
10#25908C212yesmaximal, complemented
11#21759C211yesmaximal, characteristic, complemented
12#21758C211yesmaximal, characteristic
13C2×#1874C211yesmaximal, characteristic
14C2×#1872C211yesmaximal, characteristic, complemented
15#20526C211yesmaximal, characteristic, complemented
16C22×C4⋊Q8C2211yescharacteristic, complemented
17C22×C22⋊Q8—21no—
18C22×C22⋊Q8C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C2×#489C2214yescomplemented
22C22×#103C2212yescomplemented
23C22×#102C2212yes—
24C22×C22⋊C8C2211yescharacteristic
25C22×C22⋊C8C2211yescharacteristic
26#2850C2212yes—
27#2850C2212yes—
28#2639—21no—
29#2639—21no—
30#2591—22no—
31#2561—22no—
32#2504C2212yes—
33#2503C2212yes—
34#2440—22no—
35#2440—22no—
36#2440C2214yes—
37#2440C2214yescomplemented
38#2436C2212yes—
39#2435C2212yes—
40C2×#398—21no—
41C2×#395—21no—
42#2308—21no—
43#2308—21no—
44C2×#389C2211yescharacteristic, complemented
45C2×#389C2211yescharacteristic, complemented
46C2×#385—21no—
47C2×#384C2211yescharacteristic, complemented
48C2×#380C2211yescharacteristic
49C2×C4×C22⋊C4C2211yescharacteristic
50#2101C2214yescomplemented
51#2101C2214yescomplemented
52#2072C2214yescomplemented
53#2071C2214yescomplemented
54#2042C2214yescomplemented
55#2042C2214yescomplemented
56#2024C2214yescomplemented
57#2023C2214yescomplemented
58#1993C2214yescomplemented
59#1959C2214yescomplemented
60#1936C2214yescomplemented
61#1936C2214yescomplemented
62#1935C2214yescomplemented
63#1935C2214yescomplemented
64#1893C2214yes—
65#1892C2214yes—
66#1874C2212yes—
67#1874C2212yes—
68#1874C2214yes—
69#1874C2212yes—
70#1874C2212yes—
71#1872C2214yes—
72#1872C2212yescomplemented
73#1872C2212yescomplemented
74#1872C2212yescomplemented
75#1872C2212yescomplemented
76#1836C2214yescomplemented
77#1824C2212yescomplemented
78#1823C2212yes—
79#1787C2212yescomplemented
80#1786C2212yes—
81#1752C2214yes—
82#1752C2214yescomplemented
83#1749C2212yescomplemented
84#1749C2212yescomplemented
85C2×#340C2212yes—
86C2×#340C2212yescomplemented
87C23×Q8—21no—
88C23×Q8C2311yescharacteristic
89C23×D4—21no—
90C23×D4C2311yescharacteristic
91C24×C4—21no—
92C24×C4C2311yescharacteristic
93C23×C8C2312yes—
94C23×C8C2312yes—
95C2×C4⋊Q8—22no—
96C2×C4⋊Q8—44no—
97C2×C4⋊Q8C2314yes—
98C2×#124C2312yes—
99C2×#124C2312yes—
100C2×C22⋊Q8—21no—
101C2×C22⋊Q8—21no—
102C2×C22⋊Q8—24no—
103C2×C22⋊Q8—24no—
104C2×C22⋊Q8—24no—
105C2×C22⋊Q8—24no—
106C2×C22⋊Q8—48no—
107C2×C22⋊Q8C2312yes—
108C2×C22⋊Q8C2312yes—
109C2×#121—21no—
110C2×#121—21no—
111C2×#121—24no—
112C2×#121—24no—
113C2×#121C2312yes—
114C2×#121C2312yes—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—21no—
124C22×C4⋊C4—44no—
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2312yes—
129C22×C4⋊C4C2312yes—
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4D411yescharacteristic
137C22×C22⋊C4D411yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140#489—48no—
141C2×#103—44no—
142C2×#103C2314yes—
143C2×#103C2314yes—
144C2×#103C2314yes—
145C2×#103C2314yes—
146C2×#102—44no—
147C2×#102C2314yes—
148C2×#102C2314yes—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×C22⋊C8—24no—
152C2×C22⋊C8—24no—
153C2×C22⋊C8C2312yes—
154C2×C22⋊C8C2312yes—
155C2×C22⋊C8C2312yes—
156C2×C22⋊C8C2312yes—
157C2×#97C2314yes—
158C2×#97C2314yes—
159#400—22no—
160#400—22no—
161#398—24no—
162#398—24no—
163#397—22no—
164#397—22no—
165#395—24no—
166#395—24no—
167#394—22no—
168#394—22no—
169#393—22no—
170#393—22no—
171#391C2312yes—
172#391C2312yes—
173#390C2312yes—
174#390C2312yes—
175#389—22no—
176#389—22no—
177#389C2314yes—
178#389C2314yes—
179#388—22no—
180#388—22no—
181#388—22no—
182#388—22no—
183#386—22no—
184#386—22no—
185#386—22no—
186#386—22no—
187#386—22no—
188#386—22no—
189#386—22no—
190#386—22no—
191#385—24no—
192#385—24no—
193#384—22no—
194#384C2314yes—
195#382C2312yes—
196#382C2312yes—
197#381—22no—
198#381—22no—
199#380—21no—
200#380—21no—
201#380C2312yes—
202#380C2312yes—
203#379—22no—
204#379—22no—
205C4×C22⋊C4D412yes—
206C4×C22⋊C4D412yes—
207C4×C22⋊C4C2312yes—
208C4×C22⋊C4C2312yes—
209C2×#95—21no—
210C2×#95—21no—
211C2×#95—21no—
212C2×#95D411yescharacteristic
213C2×#95D411yescharacteristic
214#340C2314yes—
215#340C2314yes—
216#340C2314yes—
217#340C2314yes—
218#340C2314yes—
219#340C2314yes—
220#340C2314yes—
221#340C2314yes—
222#336C2314yes—
223#336C2314yes—
224C25—21no—
225C25C2×D411yescharacteristic
226C22×Q8—24no—
227C22×Q8—21no—
228C22×Q8—22no—
229C22×Q8—22no—
230C22×Q8—44no—
231C22×Q8—44no—
232C22×Q8—42no—
233C22×Q8—42no—
234C22×Q8—82no—
235C22×Q8C2412yes—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—21no—
239C22×D4—22no—
240C22×D4—22no—
241C22×D4—42no—
242C22×D4—42no—
243C22×D4—44no—
244C22×D4—44no—
245C22×D4—44no—
246C22×D4C2412yes—
247C23×C4—21no—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—42no—
257C23×C4—42no—
258C23×C4—44no—
259C23×C4—44no—
260C23×C4—82no—
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4#4114yes—
269C23×C4#4114yes—
270C23×C4C2411yescharacteristic
271C23×C4C2411yescharacteristic
272C23×C4C2411yescharacteristic
273C22×C8—24no—
274C22×C8—24no—
275C22×C8—42no—
276C22×C8—42no—
277C22×C8—42no—
278C22×C8—42no—
279C22×C8C2414yes—
280C22×C8C2414yes—
281C4⋊Q8—28no—
282C4⋊Q8—44no—
283C4⋊Q8—48no—
284#124—44no—
285#124—44no—
286C22⋊Q8—24no—
287C22⋊Q8—24no—
288C22⋊Q8—24no—
289C22⋊Q8—24no—
290C22⋊Q8—416no—
291C22⋊Q8—416no—
292C22⋊Q8—44no—
293C22⋊Q8—44no—
294#121—24no—
295#121—24no—
296#121—24no—
297#121—24no—
298#121—44no—
299#121—44no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—24no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—24no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—42no—
323C2×C4⋊C4—42no—
324C2×C4⋊C4—42no—
325C2×C4⋊C4—42no—
326C2×C4⋊C4—42no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—44no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—82no—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4C2×D412yes—
362C2×C22⋊C4C2×D412yes—
363C2×C22⋊C4C2×D412yes—
364C2×C22⋊C4C2×D412yes—
365C2×C42—42no—
366C2×C42—42no—
367C2×C42C2×D412yes—
368C2×C42C2×D412yes—
369C2×C42C2412yes—
370C2×C42C2412yes—
371#103—28no—
372#103—44no—
373#103—44no—
374#103—44no—
375#102—28no—
376#102—44no—
377#102—44no—
378#102—44no—
379C22⋊C8—24no—
380C22⋊C8—24no—
381C22⋊C8—24no—
382C22⋊C8—24no—
383#97—44no—
384#97—44no—
385#95—22no—
386#95—22no—
387#95—24no—
388#95—24no—
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#95C2×D412yes—
398#95C2×D412yes—
399#95C2×D412yes—
400#95C2×D412yes—
401C24—22no—
402C24—41no—
403C24—41no—
404C24—41no—
405C24—41no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—81no—
410C24—81no—
411C24—81no—
412C24—81no—
413C24#12414yes—
414C24AGL(1,ℤ/8)14yes—
415C24#13714yes—
416C24C22×D411yescharacteristic
417C24C22×D411yescharacteristic
418C24C22×D411yescharacteristic
419C2×Q8—22no—
420C2×Q8—22no—
421C2×Q8—24no—
422C2×Q8—24no—
423C2×Q8—48no—
424C2×Q8—48no—
425C2×Q8—48no—
426C2×Q8—42no—
427C2×Q8—81no—
428C2×Q8—81no—
429C2×Q8—84no—
430C2×Q8—84no—
431C2×Q8—816no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—24no—
435C2×D4—24no—
436C2×D4—48no—
437C2×D4—44no—
438C2×D4—44no—
439C2×D4—44no—
440C2×D4—44no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—42no—
444C2×D4—84no—
445C2×D4—81no—
446C2×D4—81no—
447C2×D4—816no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—48no—
467C22×C4—48no—
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—44no—
483C22×C4—44no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—81no—
503C22×C4—81no—
504C22×C4—82no—
505C22×C4—82no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4—816no—
509C22×C4#12414yes—
510C22×C4#12414yes—
511C22×C4#12414yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C2×#4112yes—
520C22×C4C2×#4112yes—
521C22×C4C2×#4112yes—
522C22×C4C2×#4112yes—
523C22×C4C2×#4112yes—
524C22×C4C2×#4112yes—
525C22×C4C2511yescharacteristic
526C2×C8—24no—
527C2×C8—24no—
528C2×C8—24no—
529C2×C8—24no—
530C2×C8—24no—
531C2×C8—24no—
532C2×C8—84no—
533C2×C8—84no—
534C4⋊C4—24no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—24no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—48no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—48no—
550C4⋊C4—48no—
551C4⋊C4—48no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—84no—
558C4⋊C4H(5,𝔽2)14yes—
559C22⋊C4—24no—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—24no—
563C22⋊C4—44no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—82no—
570C22⋊C4—82no—
571C22⋊C4—82no—
572C22⋊C4—82no—
573C22⋊C4—82no—
574C22⋊C4—82no—
575C22⋊C4—82no—
576C22⋊C4—82no—
577C42—24no—
578C42—24no—
579C42—42no—
580C42—42no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—84no—
607C23—84no—
608C23—84no—
609C23—162no—
610C23—162no—
611C23—162no—
612C23—162no—
613C23#489116yescomplemented
614C23C2×#12412yes—
615C23C2×#12412yes—
616C23C2×#12412yes—
617C23C2×AGL(1,ℤ/8)12yes—
618C23C2×AGL(1,ℤ/8)12yes—
619C23C2×AGL(1,ℤ/8)12yes—
620C23C2×#13712yes—
621C23C2×#13712yes—
622C23C2×#13712yes—
623C23C23×D411yescharacteristic
624Q8—44no—
625Q8—44no—
626Q8—84no—
627Q8—816no—
628D4—44no—
629D4—44no—
630D4—84no—
631D4—88no—
632D4—88no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—48no—
665C2×C4—44no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—88no—
687C2×C4—88no—
688C2×C4—84no—
689C2×C4—84no—
690C2×C4—84no—
691C2×C4—84no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4C2×#12412yes—
695C2×C4C2×#12412yes—
696C2×C4C2×#12412yes—
697C2×C4C22×#4111yescharacteristic
698C2×C4C22×#4111yescharacteristic
699C2×C4C2×H(5,𝔽2)12yes—
700C2×C4#58512yes—
701C8—44no—
702C8—44no—
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—22no—
720C22—22no—
721C22—416no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22—82no—
729C22—168no—
730C22C2×#48914yes—
731C22C2×#48914yes—
732C22C2×#48914yes—
733C22C22×#12411yescharacteristic
734C22#348411yescharacteristic
735C22#348511yescharacteristic
736C22C22×AGL(1,ℤ/8)11yescharacteristic
737C22C22×#13711yescharacteristic
738C22#358511yescharacteristic
739C22#358611yescharacteristic
740C4—22no—
741C4—22no—
742C4—22no—
743C4—42no—
744C4—42no—
745C4—42no—
746C4—44no—
747C4—42no—
748C4—82no—
749C4—82no—
750C4—82no—
751C4—82no—
752C4—82no—
753C4—82no—
754C4#350512yes—
755C4#350512yes—
756C2—24no—
757C2—24no—
758C2—24no—
759C2—162no—
760C2#3537711yescharacteristic
761C2C22×#48911yescharacteristic
762C2#6062111yescharacteristic
763C2#6157111yescharacteristic
764C2#6157411yescharacteristic
765C2#6170611yescharacteristic
766C2#6170911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2440C2semidirect
3. #29336C2semidirect
4. #29336C2semidirect
5. #27978C2semidirect
6. #27713C2semidirect
7. #27711C2semidirect
8. #27266C2semidirect
9. #27262C2semidirect
10. #25908C2semidirect
11. #21759C2semidirect
14. C2×#1872C2semidirect
15. #20526C2semidirect
16. C22×C4⋊Q8C22semidirect
21. C2×#489C22semidirect
22. C22×#103C22semidirect
37. #2440C22semidirect
44. C2×#389C22semidirect
45. C2×#389C22semidirect
47. C2×#384C22semidirect
50. #2101C22semidirect
51. #2101C22semidirect
52. #2072C22semidirect
53. #2071C22semidirect
54. #2042C22semidirect
55. #2042C22semidirect
56. #2024C22semidirect
57. #2023C22semidirect
58. #1993C22semidirect
59. #1959C22semidirect
60. #1936C22semidirect
61. #1936C22semidirect
62. #1935C22semidirect
63. #1935C22semidirect
72. #1872C22semidirect
73. #1872C22semidirect
74. #1872C22semidirect
75. #1872C22semidirect
76. #1836C22semidirect
77. #1824C22semidirect
79. #1787C22semidirect
82. #1752C22semidirect
83. #1749C22semidirect
84. #1749C22semidirect
86. C2×#340C22semidirect
613. C23#489semidirect

Maximal subgroups

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

subgroupindex
#350192
C2×#24402
#293362
#279782
#277132
#277112
#272662
#272622
#259082
#217592
#217582
C2×#18742
C2×#18722
#205262