Finite Group Databasebeta

← #6614913

Subgroups — #6614913

Order 512.

1641 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36189C211yesmaximal, characteristic
2#36129C211yesmaximal, characteristic
3#33287C211yesmaximal, characteristic, complemented
4#33172C211yesmaximal, characteristic, complemented
5#33049C211yesmaximal, characteristic, complemented
6#29178C211yesmaximal, characteristic, complemented
7#29097C214yesmaximal, complemented
8#29001C214yesmaximal, complemented
9#28616C211yesmaximal, characteristic, complemented
10#28563C214yesmaximal
11#27972C211yesmaximal, characteristic, complemented
12#27877C211yesmaximal, characteristic, complemented
13#25902C211yesmaximal, characteristic, complemented
14#25600C211yesmaximal, characteristic, complemented
15#23133C214yesmaximal, complemented
16#21647C211yesmaximal, characteristic, complemented
17#21409C211yesmaximal, characteristic, complemented
18C2×#1990C211yesmaximal, characteristic, complemented
19C4×#435C211yesmaximal, characteristic
20C2×#533C2211yescharacteristic
21C22×C4⋊Q8C2211yescharacteristic
22C2×#494C2211yescharacteristic
23C2×#487C2211yescharacteristic
24C2×#487C2211yescharacteristic
25C2×#467C2214yes—
26C2×#435C2212yes—
27C2×C4×M16C2211yescharacteristic
28C22×C4×C8C2211yescharacteristic
29#2862C2211yescharacteristic
30#2859C2211yescharacteristic
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2857C2211yescharacteristic
35#2570—21no—
36#2550—21no—
37#2511C2212yes—
38#2507—21no—
39#2497—21no—
40#2492C2212yes—
41#2487—21no—
42#2451C2212yes—
43#2446—21no—
44#2442—21no—
45#2442—21no—
46#2441—21no—
47#2439—21no—
48#2429—21no—
49#2423C2212yes—
50#2417C2212yes—
51#2417C2212yes—
52#2409—21no—
53#2360C2212yes—
54#2360C2212yes—
55#2352—21no—
56#2352—21no—
57#2345—21no—
58Q8×C22⋊C4—21no—
59C4×C4⋊Q8C2211yescharacteristic
60C4×C4⋊Q8C2211yescharacteristic
61#2285C2211yescharacteristic
62C2×#384C2211yescharacteristic
63C42×D4C2211yescharacteristic
64#2086C2214yes—
65#2075C2214yes—
66#2072C2214yes—
67#2056C2214yes—
68#2024C2214yes—
69#2001C2214yes—
70#1990C2211yescharacteristic
71#1990C2211yescharacteristic
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1990C2214yes—
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1969C2214yes—
78#1956C2211yescharacteristic
79#1956C2211yescharacteristic
80#1956C2211yescharacteristic
81#1956C2211yescharacteristic
82#1935C2214yes—
83#1935C2214yes—
84#1935C2214yes—
85#1935C2214yes—
86#1918C2214yes—
87#1918C2214yes—
88#1894C2214yes—
89#1894C2214yes—
90#1878C2214yes—
91#1878C2214yes—
92#1872C2214yes—
93#1872C2214yes—
94#1845C2211yescharacteristic
95#1834C2211yescharacteristic
96#1834C2211yescharacteristic
97#1771C2212yes—
98C4×C4⋊C8C2211yescharacteristic
99#1763C2214yes—
100#1763C2214yes—
101#1753C2212yes—
102#1752C2212yes—
103C4×C22⋊C8C2211yescharacteristic
104C4×C22⋊C8C2211yescharacteristic
105C2×#340C2214yes—
106C4×#97C2211yescharacteristic
107C23×Q8—21no—
108C22×Q16C2314yes—
109C22×M16C2312yes—
110C23×C8C2312yes—
111#533—24no—
112#533—42no—
113C2×C4⋊Q8—24no—
114C2×C4⋊Q8—21no—
115C2×C4⋊Q8—21no—
116C2×C4⋊Q8—42no—
117C2×C4⋊Q8C2311yescharacteristic
118C2×C4⋊Q8C2311yescharacteristic
119C2×C4⋊Q8C2311yescharacteristic
120C2×C4⋊Q8C2312yes—
121C2×C4⋊Q8C2311yescharacteristic
122C2×#125—21no—
123C2×#125—21no—
124C2×C22⋊Q8—21no—
125C2×C22⋊Q8—21no—
126C2×C22⋊Q8C2312yes—
127C2×C22⋊Q8C2312yes—
128C2×C22⋊Q8C2312yes—
129C2×C22⋊Q8C2312yes—
130C2×C4×Q8—21no—
131C2×C4×Q8—21no—
132C2×C4×Q8C2312yes—
133C2×C4×Q8C2312yes—
134C2×C4×D4D411yescharacteristic
135C2×C4×D4D411yescharacteristic
136C2×C4×D4C2311yescharacteristic
137C2×#117—21no—
138C2×#117—21no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4—21no—
141C22×C4⋊C4—21no—
142C22×C4⋊C4C2312yes—
143C22×C4⋊C4C2312yes—
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146#494—42no—
147#487—24no—
148#487—42no—
149#467—216no—
150#435—28no—
151C2×#107C2314yes—
152C2×C4⋊C8C2312yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×C22⋊C8C2312yes—
160C2×C22⋊C8C2312yes—
161C4×M16—42no—
162C2×#97C2312yes—
163C2×#97C2312yes—
164C2×#97C2312yes—
165C2×C4×C8—42no—
166C2×C4×C8C2311yescharacteristic
167C2×C4×C8C2311yescharacteristic
168C2×C4×C8C2311yescharacteristic
169C2×C4×C8C2311yescharacteristic
170C2×C4×C8C2312yes—
171#400—22no—
172#400—22no—
173#400—22no—
174#399—22no—
175#398—22no—
176#398—22no—
177#398—22no—
178#398—22no—
179#396—22no—
180#396—22no—
181#395—22no—
182#393—22no—
183#391—21no—
184#391—21no—
185#391—21no—
186#391—21no—
187#391—22no—
188#391—22no—
189#391C2312yes—
190#391C2312yes—
191#391C2312yes—
192#391C2312yes—
193#391C2312yes—
194#391C2312yes—
195#389—21no—
196#389—21no—
197#389—21no—
198#389—21no—
199#389—21no—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389—21no—
205#389—21no—
206#389—21no—
207#389—22no—
208#389—22no—
209#389C2312yes—
210#389C2312yes—
211#389C2312yes—
212#389C2312yes—
213#388—22no—
214#388—22no—
215#387—22no—
216#387—22no—
217#387—22no—
218#387—22no—
219#387—22no—
220#387—22no—
221#386—22no—
222#386—22no—
223#385—22no—
224#385—22no—
225#384—21no—
226#384—21no—
227#384C2311yescharacteristic
228#384C2311yescharacteristic
229#384C2312yes—
230#384C2311yescharacteristic
231#384C2311yescharacteristic
232#382—21no—
233#382—21no—
234#382—21no—
235#382—21no—
236#380—21no—
237#380—21no—
238#380—21no—
239#380—21no—
240#380—21no—
241#380—21no—
242#380—21no—
243#380—21no—
244#380—22no—
245#380—22no—
246#380C2312yes—
247#380C2312yes—
248C4×C4⋊C4—21no—
249C4×C4⋊C4—21no—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4D411yescharacteristic
253C4×C4⋊C4D411yescharacteristic
254C4×C4⋊C4C2312yes—
255C4×C4⋊C4C2312yes—
256C4×C4⋊C4C2311yescharacteristic
257C4×C22⋊C4—22no—
258C4×C22⋊C4—22no—
259C4×C22⋊C4D411yescharacteristic
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4D411yescharacteristic
263C4×C22⋊C4C2311yescharacteristic
264C4×C22⋊C4C2311yescharacteristic
265C43C2311yescharacteristic
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#340C2314yes—
274#336C2312yes—
275#336C2312yes—
276#336C2312yes—
277C22×Q8—21no—
278C22×Q8—21no—
279C22×Q8—22no—
280C22×Q8—44no—
281C22×Q8—44no—
282C22×Q8—82no—
283C22×Q8C2412yes—
284C22×Q8C2412yes—
285C22×D4C2×D411yescharacteristic
286C23×C4—22no—
287C23×C4—22no—
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2411yescharacteristic
293C23×C4C2411yescharacteristic
294C2×Q16—28no—
295C2×Q16—44no—
296C2×Q16—44no—
297C2×M16—24no—
298C2×M16—42no—
299C2×M16—42no—
300C22×C8—42no—
301C22×C8—42no—
302C22×C8#4118yes—
303C22×C8C2412yes—
304C22×C8C2412yes—
305C22×C8C2412yes—
306C22×C8C2412yes—
307C4⋊Q8—24no—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8—22no—
312C4⋊Q8—22no—
313C4⋊Q8—22no—
314C4⋊Q8—22no—
315C4⋊Q8—42no—
316C4⋊Q8—44no—
317C4⋊Q8—44no—
318C4⋊Q8#4114yes—
319#125—44no—
320#125—82no—
321C22⋊Q8—28no—
322C22⋊Q8—28no—
323C22⋊Q8—24no—
324C22⋊Q8—42no—
325C22⋊Q8—44no—
326C22⋊Q8—44no—
327C22⋊Q8—82no—
328C4×Q8—24no—
329C4×Q8—42no—
330C4×Q8—44no—
331C4×Q8—44no—
332C4×Q8—82no—
333C4×D4—24no—
334C4×D4—24no—
335C4×D4—24no—
336#117—44no—
337#117—82no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—24no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—42no—
369C2×C4⋊C4—44no—
370C2×C4⋊C4—44no—
371C2×C4⋊C4—44no—
372C2×C4⋊C4—82no—
373C2×C4⋊C4C2×D411yescharacteristic
374C2×C4⋊C4C2×D411yescharacteristic
375C2×C4⋊C4C2×D411yescharacteristic
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2412yes—
379C2×C4⋊C4C2412yes—
380C2×C4⋊C4C2412yes—
381C2×C4⋊C4C2412yes—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4C2×D411yescharacteristic
389C2×C22⋊C4C2×D411yescharacteristic
390C2×C22⋊C4C2×D411yescharacteristic
391C2×C22⋊C4C2×D411yescharacteristic
392C2×C22⋊C4C2×D411yescharacteristic
393C2×C22⋊C4C2×D411yescharacteristic
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415#107—28no—
416C4⋊C8—24no—
417#103—28no—
418#103—28no—
419#103—28no—
420#103—44no—
421#103—44no—
422#103—44no—
423C22⋊C8—24no—
424C22⋊C8—24no—
425#97—24no—
426#97—42no—
427#97—42no—
428C4×C8—22no—
429C4×C8—22no—
430C4×C8—22no—
431C4×C8—22no—
432C4×C8—42no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95C2×D411yescharacteristic
454#95C2×D411yescharacteristic
455#95C2×D411yescharacteristic
456#95C2×D411yescharacteristic
457#95C2×D411yescharacteristic
458#95C2×D411yescharacteristic
459C24C22×D411yescharacteristic
460C24C22×D411yescharacteristic
461C2×Q8—24no—
462C2×Q8—22no—
463C2×Q8—24no—
464C2×Q8—24no—
465C2×Q8—22no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—24no—
469C2×Q8—24no—
470C2×Q8—44no—
471C2×Q8—42no—
472C2×Q8—42no—
473C2×Q8—44no—
474C2×Q8—42no—
475C2×Q8—42no—
476C2×Q8—42no—
477C2×Q8—82no—
478C2×Q8—816no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—82no—
511C22×C4—82no—
512C22×C4—82no—
513C22×C4#13714yes—
514C22×C4#13714yes—
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C2×#4114yes—
528C22×C4C2511yescharacteristic
529Q16—88no—
530M16—48no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—48no—
542C2×C8C2×#4114yes—
543C2×C8C2×#4114yes—
544C4⋊C4—22no—
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—44no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—82no—
576C4⋊C4—82no—
577C4⋊C4—82no—
578C4⋊C4—82no—
579C4⋊C4—82no—
580C4⋊C4—82no—
581C4⋊C4—82no—
582C4⋊C4—82no—
583C4⋊C4C2×#4114yes—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—82no—
594C22⋊C4—82no—
595C22⋊C4—82no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—21no—
606C42—21no—
607C42—21no—
608C42—21no—
609C42—22no—
610C42—44no—
611C42—82no—
612C42—82no—
613C42—82no—
614C42C2×#4112yes—
615C42H(5,𝔽2)12yes—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23#53212yes—
628C23C2×#13712yes—
629C23C2×#13712yes—
630C23C23×D411yescharacteristic
631Q8—48no—
632Q8—44no—
633Q8—44no—
634Q8—44no—
635Q8—44no—
636Q8—88no—
637Q8—84no—
638D4—44no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—28no—
648C2×C4—28no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—24no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—44no—
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—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—88no—
699C2×C4—164no—
700C2×C4#53212yes—
701C2×C4#54612yes—
702C2×C4#54612yes—
703C2×C4C2×#13712yes—
704C2×C4C2×#13712yes—
705C2×C4C2×#13712yes—
706C2×C4C2×#13712yes—
707C2×C4#57612yes—
708C2×C4#57812yes—
709C2×C4C22×#4111yescharacteristic
710C2×C4C22×#4112yes—
711C2×C4C2×H(5,𝔽2)11yescharacteristic
712C2×C4#58512yes—
713C8—24no—
714C8—24no—
715C8—42no—
716C8—42no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22—41no—
729C22—41no—
730C22#318514yes—
731C22C2×#53211yescharacteristic
732C22C2×#54611yescharacteristic
733C22#350011yescharacteristic
734C22C22×#13711yescharacteristic
735C22C22×#13711yescharacteristic
736C22C2×#57611yescharacteristic
737C22C2×#57811yescharacteristic
738C4—22no—
739C4—22no—
740C4—22no—
741C4—41no—
742C4—41no—
743C4—41no—
744C4—41no—
745C4—41no—
746C4—41no—
747C4—44no—
748C4—41no—
749C4—82no—
750C4—82no—
751C4—82no—
752C4—82no—
753C4—82no—
754C4—82no—
755C4—82no—
756C4#331214yes—
757C4#331414yes—
758C4#348012yes—
759C4#350512yes—
760C2—24no—
761C2—81no—
762C2#3639611yescharacteristic
763C2C2×#318511yescharacteristic
764C2#6071811yescharacteristic
765C2C2×#331411yescharacteristic
766C2C2×#331211yescharacteristic
767C2#6253611yescharacteristic
768C2#6253711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×D4C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #33287C2semidirect
4. #33172C2semidirect
5. #33049C2semidirect
6. #29178C2semidirect
7. #29097C2semidirect
8. #29001C2semidirect
9. #28616C2semidirect
11. #27972C2semidirect
12. #27877C2semidirect
13. #25902C2semidirect
14. #25600C2semidirect
15. #23133C2semidirect
16. #21647C2semidirect
17. #21409C2semidirect
18. C2×#1990C2semidirect

Maximal subgroups

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

subgroupindex
#361892
#361292
#332872
#331722
#330492
#291782
#290972
#290012
#286162
#285632
#279722
#278772
#259022
#256002
#231332
#216472
#214092
C2×#19902
C4×#4352