Finite Group Databasebeta

← #6444025

Subgroups — #6444025

Order 512.

2254 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3097C211yesmaximal, characteristic, complemented
2C22×#483C211yesmaximal, characteristic, complemented
3#35661C211yesmaximal, characteristic
4#34200C211yesmaximal, characteristic
5#25029C214yesmaximal, complemented
6#25024C214yesmaximal, complemented
7#25021C214yesmaximal, complemented
8#25014C214yesmaximal, complemented
9#23640C211yesmaximal, characteristic, complemented
10#23638C211yesmaximal, characteristic, complemented
11#23484C211yesmaximal, characteristic, complemented
12#23481C211yesmaximal, characteristic, complemented
13#21191C211yesmaximal, characteristic
14#21174C211yesmaximal, characteristic, complemented
15#20848C211yesmaximal, characteristic, complemented
16#20844C211yesmaximal, characteristic, complemented
17#20802C211yesmaximal, characteristic, complemented
18#20651C211yesmaximal, characteristic, complemented
19#20417C211yesmaximal, characteristic, complemented
20C2×#536C2211yescharacteristic
21C2×#525C2211yescharacteristic
22C22×C22⋊Q8C2211yescharacteristic
23C2×#520C2211yescharacteristic
24C2×#519C2211yescharacteristic
25C23×C4⋊C4C2211yescharacteristic
26#3097—28no—
27C2×#484C2212yescomplemented
28C2×#485C2212yescomplemented
29C2×#485C2212yescomplemented
30C2×#483—28no—
31C2×#483C2214yes—
32C2×#483C2214yes—
33C2×#483C2212yescomplemented
34C2×#428C2211yescharacteristic
35C2×#428C2211yescharacteristic
36C2×#428C2211yescharacteristic
37C2×#427C2211yescharacteristic
38C22×#106C2211yescharacteristic
39C22×#106C2211yescharacteristic
40C2×#424C2211yescharacteristic
41C2×#419C2211yescharacteristic
42C2×#419C2211yescharacteristic
43C22×#103C2211yescharacteristic
44C22×#103C2211yescharacteristic
45C2×#408C2211yescharacteristic
46C2×#408C2211yescharacteristic
47C2×#407C2211yescharacteristic
48C22×C22⋊C8C2211yescharacteristic
49C2×#405C2211yescharacteristic
50#2538C2214yes—
51#2536C2214yes—
52#2429—22no—
53#2426—22no—
54#2413—22no—
55#2411—22no—
56#2361—22no—
57#2360—22no—
58#2352C2214yes—
59D4×C4⋊C4C2214yes—
60#2322—22no—
61#2317C2211yescharacteristic
62#2317C2211yescharacteristic
63#2311C2211yescharacteristic
64#2311C2211yescharacteristic
65C4×#120—22no—
66#2280C2211yescharacteristic
67#2280C2211yescharacteristic
68#2274C2211yescharacteristic
69#2077C2212yes—
70#2077C2212yes—
71#2077C2214yescomplemented
72#2077C2214yescomplemented
73#2076C2212yes—
74#2075C2212yes—
75#2036C2214yes—
76#2036C2214yescomplemented
77#2035C2214yes—
78#2035C2214yescomplemented
79#1955C2214yes—
80#1954C2214yes—
81#1949C2214yescomplemented
82#1948C2214yescomplemented
83#1854C2214yescomplemented
84#1853C2214yes—
85#1853C2214yescomplemented
86#1852C2214yes—
87#1847C2212yescomplemented
88#1847C2212yescomplemented
89#1846C2212yescomplemented
90#1844C2212yescomplemented
91#1805C2214yescomplemented
92#1803C2214yescomplemented
93#1763C2214yescomplemented
94C4×#103C2214yescomplemented
95#1736C2211yescharacteristic
96#1736C2211yescharacteristic
97#1736C2211yescharacteristic
98#1735C2211yescharacteristic
99#1735C2211yescharacteristic
100#1735C2211yescharacteristic
101C22×#41C2311yescharacteristic
102C23×Q8C2311yescharacteristic
103C24×C4—21no—
104C24×C4C2311yescharacteristic
105C22×M16C2311yescharacteristic
106C22×M16C2311yescharacteristic
107C23×C8C2311yescharacteristic
108C23×C8C2311yescharacteristic
109#536—24no—
110#536—42no—
111C2×C4⋊Q8—21no—
112C2×#124—21no—
113#525—24no—
114#525—24no—
115C2×#123—22no—
116C2×#123D412yes—
117C2×C22⋊Q8—22no—
118C2×C22⋊Q8—24no—
119C2×C22⋊Q8—42no—
120C2×C22⋊Q8D412yes—
121C2×C22⋊Q8C2314yes—
122C2×C22⋊Q8C2312yes—
123C2×C22⋊Q8C2312yes—
124C2×#121D412yes—
125C2×#120D412yes—
126#520—24no—
127#520—42no—
128#519—24no—
129#519—24no—
130C2×C4×Q8—21no—
131C2×C4×Q8—22no—
132C2×C4×Q8C2314yes—
133C2×C4×D4—22no—
134C2×C4×D4—21no—
135C2×C4×D4—24no—
136C2×C4×D4C2314yes—
137C2×#117—22no—
138C2×#117C2311yescharacteristic
139C2×#117C2311yescharacteristic
140C2×#117C2311yescharacteristic
141C2×#117C2311yescharacteristic
142C2×#117C2312yes—
143C2×#117C2311yescharacteristic
144C22×C4⋊C4—24no—
145C22×C4⋊C4—21no—
146C22×C4⋊C4—22no—
147C22×C4⋊C4—21no—
148C22×C4⋊C4—42no—
149C22×C4⋊C4C2311yescharacteristic
150C22×C4⋊C4C2311yescharacteristic
151C22×C4⋊C4C2314yes—
152C22×C4⋊C4C2312yes—
153C22×C4⋊C4C2311yescharacteristic
154C22×C22⋊C4—21no—
155#485—28no—
156#485—28no—
157#484—28no—
158#483—216no—
159#483—216no—
160#483—28no—
161#428—24no—
162#428—42no—
163#428—42no—
164#427—24no—
165C2×#107C2311yescharacteristic
166C2×#107C2312yes—
167C2×#107C2311yescharacteristic
168C2×#107C2312yes—
169C2×#107C2312yes—
170C2×#106—24no—
171C2×#106—24no—
172C2×#106C2312yes—
173C2×#106C2312yes—
174C2×#106C2314yes—
175C2×#106C2311yescharacteristic
176C2×#106C2312yes—
177C2×#106C2311yescharacteristic
178C2×#106C2312yes—
179C2×#106C2312yes—
180#424—24no—
181C2×C4⋊C8C2314yes—
182#419—24no—
183#419—24no—
184C2×#103—24no—
185C2×#103D418yescomplemented
186C2×#103C2312yes—
187C2×#103C2314yes—
188C2×#103C2312yes—
189C2×#103C2314yes—
190C2×#103C2312yes—
191C2×#103C2312yes—
192#408—24no—
193#408—24no—
194#407—24no—
195C2×C22⋊C8—24no—
196C2×C22⋊C8C2312yes—
197C2×C22⋊C8C2312yes—
198C2×C22⋊C8C2312yes—
199C2×C22⋊C8C2312yes—
200C2×C22⋊C8C2314yes—
201C2×C22⋊C8C2314yes—
202#405—24no—
203C2×#97C2312yes—
204C2×C4×C8C2312yes—
205#398—24no—
206#396—24no—
207#396—24no—
208#394—24no—
209#391—21no—
210#391—21no—
211#390—21no—
212#390—21no—
213#390—24no—
214#389—22no—
215#389—22no—
216#389—24no—
217#389—24no—
218#388—24no—
219#388—24no—
220#388—24no—
221#387—24no—
222#386—22no—
223#386—22no—
224#386—24no—
225#385—22no—
226#385—22no—
227#385—24no—
228#385—24no—
229#384C2312yes—
230#384C2312yes—
231#382C2312yes—
232#382C2312yes—
233#381—21no—
234#381—21no—
235#380C2314yes—
236#380C2314yes—
237#380C2312yes—
238#380C2312yes—
239#380C2312yes—
240#380C2312yes—
241#379—21no—
242#379—21no—
243C4×C4⋊C4—22no—
244C4×C4⋊C4C2314yes—
245C4×C22⋊C4—22no—
246C4×C22⋊C4—22no—
247C4×C22⋊C4—22no—
248C4×C22⋊C4—24no—
249#340C2312yes—
250#340C2314yes—
251#340C2312yes—
252#340C2312yes—
253#340C2312yes—
254#340C2312yes—
255#340C2312yes—
256#340C2314yes—
257#340C2314yes—
258C25C2×D411yescharacteristic
259C2×#41—22no—
260C2×#41—22no—
261C2×#41—22no—
262C2×#41—22no—
263C2×#41—22no—
264C2×#41—22no—
265C22×Q8—21no—
266C22×Q8—22no—
267C22×Q8—22no—
268C22×Q8—22no—
269C22×Q8—22no—
270C22×Q8—22no—
271C22×Q8C2×D414yes—
272C22×Q8C2×D411yescharacteristic
273C22×Q8C2412yes—
274C22×D4C2×D412yes—
275C22×D4C2×D411yescharacteristic
276C22×D4C2×D414yes—
277C23×C4—21no—
278C23×C4—21no—
279C23×C4—22no—
280C23×C4—22no—
281C23×C4—22no—
282C23×C4—22no—
283C23×C4—22no—
284C23×C4—22no—
285C23×C4—24no—
286C23×C4—21no—
287C23×C4—21no—
288C23×C4—22no—
289C23×C4—44no—
290C23×C4—84no—
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D412yes—
293C23×C4C2412yes—
294C23×C4C2412yes—
295C23×C4C2411yescharacteristic
296C2×M16—22no—
297C2×M16—22no—
298C2×M16—22no—
299C2×M16—22no—
300C2×M16—22no—
301C2×M16#4114yes—
302C22×C8—22no—
303C22×C8—22no—
304C22×C8—22no—
305C22×C8—22no—
306C22×C8—22no—
307C22×C8C2×D414yes—
308C22×C8C2412yes—
309C22×C8C2412yes—
310C22×C8C2411yescharacteristic
311C22×C8C2411yescharacteristic
312C22×C8C2412yes—
313C4⋊Q8—44no—
314#124—44no—
315#123—28no—
316#123—48no—
317C22⋊Q8—28no—
318C22⋊Q8—28no—
319C22⋊Q8—24no—
320C22⋊Q8—24no—
321C22⋊Q8—44no—
322C22⋊Q8—42no—
323C22⋊Q8—42no—
324C22⋊Q8—48no—
325#121—28no—
326#120—28no—
327C4×Q8—28no—
328C4×Q8—28no—
329C4×Q8—44no—
330C4×Q8—48no—
331C4×D4—28no—
332C4×D4—28no—
333C4×D4—44no—
334C4×D4—48no—
335C4×D4—88no—
336#117—22no—
337#117—22no—
338#117—22no—
339#117—22no—
340#117—22no—
341#117—22no—
342#117—22no—
343#117—22no—
344#117—24no—
345#117—42no—
346#117—48no—
347#117#4114yes—
348#117#4114yes—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—28no—
356C2×C4⋊C4—24no—
357C2×C4⋊C4—24no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—24no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—24no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—24no—
366C2×C4⋊C4—24no—
367C2×C4⋊C4—44no—
368C2×C4⋊C4—42no—
369C2×C4⋊C4—48no—
370C2×C4⋊C4—44no—
371C2×C4⋊C4—44no—
372C2×C4⋊C4C2×D414yes—
373C2×C4⋊C4C2×D414yes—
374C2×C4⋊C4C2×D412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2411yescharacteristic
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2411yescharacteristic
379C2×C4⋊C4C2412yes—
380C2×C4⋊C4C2411yescharacteristic
381C2×C4⋊C4C2411yescharacteristic
382C2×C4⋊C4C2412yes—
383C2×C4⋊C4C2412yes—
384C2×C22⋊C4—24no—
385C2×C22⋊C4—21no—
386C2×C22⋊C4—21no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—21no—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—24no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—24no—
398C2×C22⋊C4—44no—
399C2×C22⋊C4C2×D414yes—
400C2×C22⋊C4C2×D414yes—
401C2×C22⋊C4C2×D412yes—
402C2×C42—24no—
403C2×C42—22no—
404C2×C42—21no—
405C2×C42—21no—
406C2×C42—21no—
407C2×C42—21no—
408C2×C42—24no—
409C2×C42C2412yes—
410#107—22no—
411#107—22no—
412#107—24no—
413#107—42no—
414#107—42no—
415#106—24no—
416#106—24no—
417#106—22no—
418#106—22no—
419#106—28no—
420#106—24no—
421#106—42no—
422#106—42no—
423C4⋊C8—28no—
424#103—28no—
425#103—24no—
426#103—24no—
427#103—28no—
428#103C2×D418yes—
429#103C2×D418yes—
430C22⋊C8—24no—
431C22⋊C8—24no—
432C22⋊C8—24no—
433C22⋊C8—24no—
434C22⋊C8—28no—
435C22⋊C8—28no—
436#97—24no—
437C4×C8—24no—
438#95—24no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—24no—
444#95—24no—
445#95—24no—
446#95—24no—
447C24—22no—
448C24—24no—
449C24—22no—
450C24—22no—
451C24—42no—
452C24C22×D412yes—
453C24C22×D412yes—
454C24C22×D411yescharacteristic
455#41—44no—
456#41—44no—
457#41—44no—
458#41—44no—
459C2×Q8—22no—
460C2×Q8—22no—
461C2×Q8—24no—
462C2×Q8—22no—
463C2×Q8—22no—
464C2×Q8—28no—
465C2×Q8—28no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—22no—
470C2×Q8—42no—
471C2×Q8—44no—
472C2×Q8—42no—
473C2×Q8—44no—
474C2×Q8C22×D414yes—
475C2×D4—24no—
476C2×D4—24no—
477C2×D4—24no—
478C2×D4—28no—
479C2×D4—28no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—44no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—21no—
507C22×C4—22no—
508C22×C4—21no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—48no—
515C22×C4—44no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—48no—
525C22×C4—82no—
526C22×C4—82no—
527C22×C4—84no—
528C22×C4—82no—
529C22×C4—84no—
530C22×C4—816no—
531C22×C4C22×D412yes—
532C22×C4C22×D412yes—
533C22×C4C22×D414yes—
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D412yes—
536C22×C4C2×#4112yes—
537C22×C4C2×#4112yes—
538C22×C4C2×#4112yes—
539C22×C4H(5,𝔽2)12yes—
540C22×C42−1+412yes—
541C22×C4C2511yescharacteristic
542M16—28no—
543M16—44no—
544C2×C8—28no—
545C2×C8—21no—
546C2×C8—22no—
547C2×C8—21no—
548C2×C8—22no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—44no—
558C2×C8C22×D412yes—
559C2×C8C22×D412yes—
560C2×C8C2×#4114yes—
561C4⋊C4—28no—
562C4⋊C4—24no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—22no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—22no—
580C4⋊C4—48no—
581C4⋊C4—44no—
582C4⋊C4—48no—
583C4⋊C4—44no—
584C4⋊C4—44no—
585C4⋊C4—48no—
586C4⋊C4—42no—
587C4⋊C4—42no—
588C4⋊C4—84no—
589C4⋊C4—84no—
590C4⋊C4#12318yes—
591C4⋊C4C22×D414yes—
592C22⋊C4—28no—
593C22⋊C4—28no—
594C22⋊C4—48no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—42no—
600C22⋊C4—42no—
601C22⋊C4—42no—
602C22⋊C4—42no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—82no—
606C22⋊C4—84no—
607C22⋊C4—84no—
608C22⋊C4#12318yes—
609C42—44no—
610C42—42no—
611C42—48no—
612C42—42no—
613C42—42no—
614C42—42no—
615C42—84no—
616C42C2×#4114yes—
617C42C2×#4114yes—
618C23—22no—
619C23—22no—
620C23—28no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23—24no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—24no—
632C23—48no—
633C23—48no—
634C23—44no—
635C23—44no—
636C23C2×#12312yes—
637C23D4212yes—
638C23#54712yes—
639C23#57714yes—
640C23C23×D411yescharacteristic
641Q8—24no—
642Q8—24no—
643Q8—48no—
644Q8—44no—
645Q8—42no—
646Q8—42no—
647D4—416no—
648D4—48no—
649D4—44no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—42no—
661C2×C4—44no—
662C2×C4—48no—
663C2×C4—42no—
664C2×C4—44no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—48no—
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—44no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—84no—
693C2×C4—816no—
694C2×C4—84no—
695C2×C4—84no—
696C2×C4—164no—
697C2×C4C2×#12318yes—
698C2×C4C2×#12312yes—
699C2×C4#53214yes—
700C2×C4#54214yes—
701C2×C4D4212yes—
702C2×C4#54712yes—
703C2×C4#54714yes—
704C2×C4#55314yes—
705C2×C4C23×D411yescharacteristic
706C2×C4C22×#4111yescharacteristic
707C2×C4C22×#4111yescharacteristic
708C2×C4C22×#4111yescharacteristic
709C2×C4C2×H(5,𝔽2)11yescharacteristic
710C2×C4C2×2−1+411yescharacteristic
711C8—22no—
712C8—22no—
713C8—24no—
714C8—42no—
715C8—42no—
716C22—24no—
717C22—24no—
718C22—22no—
719C22—22no—
720C22—24no—
721C22—24no—
722C22—24no—
723C22—416no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—44no—
729C22—44no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22#242214yes—
734C22C22×#12311yescharacteristic
735C22C2×D4211yescharacteristic
736C22C2×#54711yescharacteristic
737C22C2×#57712yes—
738C22#358612yes—
739C4—28no—
740C4—42no—
741C4—42no—
742C4—44no—
743C4—44no—
744C4—82no—
745C4—82no—
746C4—81no—
747C4—82no—
748C4—81no—
749C4—81no—
750C4—81no—
751C4—82no—
752C4#242214yes—
753C4C2×#53211yescharacteristic
754C4C2×#54211yescharacteristic
755C4C2×#54711yescharacteristic
756C4C2×#55311yescharacteristic
757C2—24no—
758C2—44no—
759C2—82no—
760C2C2×#242211yescharacteristic
761C2#6052212yes—
762C2#6105011yescharacteristic
763C2#6106111yescharacteristic
764C2#6127112yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#525C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3097C2semidirect
2. C22×#483C2semidirect
5. #25029C2semidirect
6. #25024C2semidirect
7. #25021C2semidirect
8. #25014C2semidirect
9. #23640C2semidirect
10. #23638C2semidirect
11. #23484C2semidirect
12. #23481C2semidirect
14. #21174C2semidirect
15. #20848C2semidirect
16. #20844C2semidirect
17. #20802C2semidirect
18. #20651C2semidirect
19. #20417C2semidirect
27. C2×#484C22semidirect
28. C2×#485C22semidirect
29. C2×#485C22semidirect
33. C2×#483C22semidirect
71. #2077C22semidirect
72. #2077C22semidirect
76. #2036C22semidirect
78. #2035C22semidirect
81. #1949C22semidirect
82. #1948C22semidirect
83. #1854C22semidirect
85. #1853C22semidirect
87. #1847C22semidirect
88. #1847C22semidirect
89. #1846C22semidirect
90. #1844C22semidirect
91. #1805C22semidirect
92. #1803C22semidirect
93. #1763C22semidirect
94. C4×#103C22semidirect
185. C2×#103D4semidirect

Maximal subgroups

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

subgroupindex
C2×#30972
C22×#4832
#356612
#342002
#250292
#250242
#250212
#250142
#236402
#236382
#234842
#234812
#211912
#211742
#208482
#208442
#208022
#206512
#204172