Finite Group Databasebeta

← #6763248

Subgroups — #6763248

Order 512.

1628 conjugacy classes of subgroups.

The subgroup lattice has 767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36209C211yesmaximal, characteristic
2D4×C4⋊Q8C211yesmaximal, characteristic
3#33210C211yesmaximal, characteristic, complemented
4#32148C214yesmaximal, complemented
5#31450C214yesmaximal, complemented
6#30230C211yesmaximal, characteristic, complemented
7#29877C211yesmaximal, characteristic, complemented
8#29179C211yesmaximal, characteristic, complemented
9#28687C211yesmaximal, characteristic, complemented
10#27962C211yesmaximal, characteristic, complemented
11#27877C211yesmaximal, characteristic, complemented
12#26009C214yesmaximal, complemented
13#25811C211yesmaximal, characteristic, complemented
14#25811C211yesmaximal, characteristic, complemented
15#24949C214yesmaximal
16#22246C211yesmaximal, characteristic, complemented
17#21833C211yesmaximal, characteristic, complemented
18#21324C211yesmaximal, characteristic, complemented
19#21102C211yesmaximal, characteristic
20C2×D4×Q8—21no—
21C22×C4⋊Q8C2211yescharacteristic
22C22×C4⋊Q8C2211yescharacteristic
23C2×#498C2211yescharacteristic
24C2×#498C2211yescharacteristic
25C2×#498C2211yescharacteristic
26C2×#431C2211yescharacteristic
27C2×C4×M16C2211yescharacteristic
28#2868C2211yescharacteristic
29#2859C2211yescharacteristic
30#2857C2211yescharacteristic
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2551—21no—
35#2551C2212yes—
36#2546—21no—
37#2536—21no—
38#2508—21no—
39#2508C2212yes—
40#2495—21no—
41#2495C2212yes—
42#2489—21no—
43#2489—21no—
44#2485—21no—
45#2485C2212yes—
46#2440—21no—
47#2440—21no—
48#2440C2212yes—
49#2440C2212yes—
50#2434—21no—
51#2434—21no—
52#2356—21no—
53D4×C4⋊C4—21no—
54D4×C4⋊C4C2212yes—
55#2346—21no—
56#2346C2212yes—
57C4×C4⋊Q8C2211yescharacteristic
58C4×C4⋊Q8C2211yescharacteristic
59#2285C2211yescharacteristic
60#2285C2211yescharacteristic
61C42×D4C2211yescharacteristic
62#2101C2214yes—
63#2100C2214yes—
64#2100C2214yes—
65#2088C2214yes—
66#2087C2214yes—
67#2084C2214yes—
68#2077C2214yes—
69#2075C2214yes—
70#2058C2214yes—
71#2058C2214yes—
72#1993C2214yes—
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1990C2211yescharacteristic
79#1990C2211yescharacteristic
80#1990C2211yescharacteristic
81#1990C2211yescharacteristic
82#1990C2211yescharacteristic
83#1988C2214yes—
84#1948C2214yes—
85#1943C2214yes—
86#1924C2212yes—
87#1921C2214yes—
88#1920C2214yes—
89#1919C2214yes—
90#1918C2214yes—
91#1917C2212yes—
92#1870C2212yes—
93#1853C2214yes—
94#1853C2214yes—
95#1851C2212yes—
96#1845C2211yescharacteristic
97#1834C2211yescharacteristic
98#1834C2211yescharacteristic
99#1825C2214yes—
100#1823C2214yes—
101#1809C2214yes—
102C4×C4⋊C8C2211yescharacteristic
103C4×C22⋊C8C2211yescharacteristic
104C4×C22⋊C8C2211yescharacteristic
105#1744C2211yescharacteristic
106#1736C2214yes—
107C23×Q8—21no—
108C23×Q8—21no—
109C22×M16C2312yes—
110D4×Q8—48no—
111C2×C4⋊Q8—22no—
112C2×C4⋊Q8—24no—
113C2×C4⋊Q8—24no—
114C2×C4⋊Q8—21no—
115C2×C4⋊Q8—21no—
116C2×C4⋊Q8—21no—
117C2×C4⋊Q8—21no—
118C2×C4⋊Q8—21no—
119C2×C4⋊Q8—21no—
120C2×C4⋊Q8—42no—
121C2×C4⋊Q8—42no—
122C2×C4⋊Q8C2311yescharacteristic
123C2×C4⋊Q8C2311yescharacteristic
124C2×C4⋊Q8C2311yescharacteristic
125C2×C4⋊Q8C2312yes—
126C2×C4⋊Q8C2312yes—
127C2×C4⋊Q8C2311yescharacteristic
128C2×#125—21no—
129C2×C22⋊Q8—21no—
130C2×C22⋊Q8—21no—
131C2×C22⋊Q8—21no—
132C2×C22⋊Q8—21no—
133C2×C22⋊Q8—22no—
134C2×C22⋊Q8—22no—
135C2×C4×Q8—21no—
136C2×C4×Q8—21no—
137C2×C4×D4—22no—
138C2×C4×D4D411yescharacteristic
139C2×C4×D4D411yescharacteristic
140C2×C4×D4C2311yescharacteristic
141C2×#117—21no—
142C2×#117C2312yes—
143C22×C4⋊C4—21no—
144C22×C4⋊C4—21no—
145C22×C4⋊C4C2312yes—
146C22×C4⋊C4C2312yes—
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#498—24no—
150#498—42no—
151#498—42no—
152#431—42no—
153C2×#107C2314yes—
154C2×#106C2314yes—
155C2×#106C2314yes—
156C2×#106C2314yes—
157C2×C4⋊C8C2312yes—
158C2×C4⋊C8C2312yes—
159C2×C22⋊C8C2312yes—
160C2×C22⋊C8C2312yes—
161C2×C22⋊C8C2312yes—
162C4×M16—42no—
163C2×#97C2312yes—
164C2×C4×C8C2311yescharacteristic
165C2×C4×C8C2311yescharacteristic
166C2×C4×C8C2311yescharacteristic
167C2×C4×C8C2311yescharacteristic
168#400—22no—
169#400—22no—
170#398—22no—
171#398—22no—
172#398—22no—
173#397—22no—
174#397—22no—
175#395—22no—
176#395—22no—
177#395—22no—
178#395—22no—
179#394—22no—
180#391—21no—
181#391—21no—
182#391—21no—
183#391—21no—
184#391—21no—
185#391—21no—
186#389—22no—
187#389—22no—
188#389—21no—
189#389—21no—
190#389—21no—
191#389—21no—
192#389—21no—
193#389—21no—
194#389—21no—
195#389—21no—
196#389C2312yes—
197#389C2312yes—
198#389C2312yes—
199#389C2312yes—
200#389C2312yes—
201#389C2312yes—
202#389C2312yes—
203#389C2312yes—
204#388—22no—
205#388—22no—
206#388—22no—
207#388—22no—
208#387—22no—
209#387—22no—
210#385—22no—
211#385—22no—
212#385—22no—
213#385—22no—
214#384—21no—
215#384—21no—
216#384C2311yescharacteristic
217#384C2311yescharacteristic
218#384C2312yes—
219#384C2311yescharacteristic
220#384C2311yescharacteristic
221#384C2312yes—
222#383—22no—
223#382—21no—
224#382—21no—
225#382—22no—
226#382—22no—
227#382C2312yes—
228#380—21no—
229#380—21no—
230#380—21no—
231#380—21no—
232#380—21no—
233#380—21no—
234#380—21no—
235#380C2312yes—
236#380C2312yes—
237#380C2312yes—
238#380C2312yes—
239#380C2312yes—
240C4×C4⋊C4—21no—
241C4×C4⋊C4—21no—
242C4×C4⋊C4—21no—
243C4×C4⋊C4—21no—
244C4×C4⋊C4—21no—
245C4×C4⋊C4D411yescharacteristic
246C4×C4⋊C4D411yescharacteristic
247C4×C4⋊C4C2312yes—
248C4×C4⋊C4C2312yes—
249C4×C4⋊C4C2312yes—
250C4×C4⋊C4C2311yescharacteristic
251C4×C22⋊C4D411yescharacteristic
252C4×C22⋊C4D411yescharacteristic
253C4×C22⋊C4D411yescharacteristic
254C4×C22⋊C4D411yescharacteristic
255C4×C22⋊C4C2311yescharacteristic
256C4×C22⋊C4C2311yescharacteristic
257#376—22no—
258C43C2311yescharacteristic
259#340C2314yes—
260#340C2314yes—
261#340C2314yes—
262#340C2314yes—
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#336C2312yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276C22×Q8—21no—
277C22×Q8—21no—
278C22×Q8—21no—
279C22×Q8—21no—
280C22×Q8—22no—
281C22×Q8—22no—
282C22×Q8—44no—
283C22×Q8—44no—
284C22×Q8—44no—
285C22×Q8—44no—
286C22×Q8—82no—
287C22×Q8—82no—
288C22×D4C2×D411yescharacteristic
289C23×C4—22no—
290C23×C4—22no—
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2411yescharacteristic
296C23×C4C2411yescharacteristic
297C2×M16—24no—
298C2×M16—24no—
299C2×M16—42no—
300C22×C8C2412yes—
301C22×C8C2412yes—
302C22×C8C2412yes—
303C22×C8C2412yes—
304C4⋊Q8—24no—
305C4⋊Q8—24no—
306C4⋊Q8—22no—
307C4⋊Q8—22no—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8—22no—
312C4⋊Q8—22no—
313C4⋊Q8—42no—
314C4⋊Q8—42no—
315C4⋊Q8—44no—
316C4⋊Q8—44no—
317C4⋊Q8—44no—
318C4⋊Q8—44no—
319C4⋊Q8—44no—
320C4⋊Q8—48no—
321C4⋊Q8—82no—
322C4⋊Q8#4114yes—
323#125—82no—
324C22⋊Q8—48no—
325C22⋊Q8—48no—
326C22⋊Q8—44no—
327C22⋊Q8—44no—
328C22⋊Q8—82no—
329C22⋊Q8—82no—
330C4×Q8—44no—
331C4×Q8—44no—
332C4×D4—24no—
333C4×D4—24no—
334C4×D4—24no—
335C4×D4—48no—
336#117—28no—
337#117—44no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—24no—
340C2×C4⋊C4—24no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—21no—
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—42no—
370C2×C4⋊C4—44no—
371C2×C4⋊C4—44no—
372C2×C4⋊C4C2×D411yescharacteristic
373C2×C4⋊C4C2×D411yescharacteristic
374C2×C4⋊C4C2×D411yescharacteristic
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2412yes—
379C2×C4⋊C4C2412yes—
380C2×C4⋊C4C2412yes—
381C2×C4⋊C4C2412yes—
382C2×C4⋊C4C2412yes—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4C2×D411yescharacteristic
390C2×C22⋊C4C2×D411yescharacteristic
391C2×C22⋊C4C2×D411yescharacteristic
392C2×C22⋊C4C2×D411yescharacteristic
393C2×C22⋊C4C2×D411yescharacteristic
394C2×C22⋊C4C2×D411yescharacteristic
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416#107—28no—
417#106—28no—
418#106—44no—
419#106—44no—
420C4⋊C8—24no—
421C4⋊C8—42no—
422C22⋊C8—24no—
423C22⋊C8—24no—
424C22⋊C8—42no—
425#97—42no—
426C4×C8—22no—
427C4×C8—22no—
428C4×C8—22no—
429C4×C8—22no—
430#95—22no—
431#95—22no—
432#95—22no—
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#95C2×D411yescharacteristic
449#95C2×D411yescharacteristic
450#95C2×D411yescharacteristic
451#95C2×D411yescharacteristic
452#95C2×D411yescharacteristic
453#95C2×D411yescharacteristic
454C24C22×D411yescharacteristic
455C24C22×D411yescharacteristic
456C2×Q8—24no—
457C2×Q8—44no—
458C2×Q8—44no—
459C2×Q8—44no—
460C2×Q8—42no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—42no—
464C2×Q8—44no—
465C2×Q8—42no—
466C2×Q8—42no—
467C2×Q8—42no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8—82no—
473C2×Q8—82no—
474C2×Q8—816no—
475C2×Q8—816no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—21no—
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—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—82no—
510C22×C4—82no—
511C22×C4AGL(1,ℤ/8)14yes—
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
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×C42−1+414yes—
525C22×C4C2511yescharacteristic
526M16—48no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C82−1+414yes—
539C4⋊C4—22no—
540C4⋊C4—24no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—44no—
569C4⋊C4—42no—
570C4⋊C4—44no—
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⋊C4C2×#4114yes—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—82no—
593C22⋊C4—82no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—21no—
605C42—22no—
606C42—22no—
607C42—44no—
608C42—44no—
609C42—44no—
610C42—44no—
611C42#13714yes—
612C42C2×#4112yes—
613C42H(5,𝔽2)12yes—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23#53612yes—
627C23C2×AGL(1,ℤ/8)12yes—
628C23C23×D411yescharacteristic
629Q8—48no—
630Q8—88no—
631Q8—88no—
632Q8—84no—
633Q8—84no—
634Q8—84no—
635D4—28no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—28no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—24no—
654C2×C4—21no—
655C2×C4—21no—
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—42no—
667C2×C4—42no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—44no—
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—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—88no—
695C2×C4—88no—
696C2×C4#53612yes—
697C2×C4#54612yes—
698C2×C4#54612yes—
699C2×C4C2×AGL(1,ℤ/8)12yes—
700C2×C4C2×AGL(1,ℤ/8)12yes—
701C2×C4C2×#13712yes—
702C2×C4C2×#13712yes—
703C2×C4C2×#13712yes—
704C2×C4#57712yes—
705C2×C4#57712yes—
706C2×C4C22×#4111yescharacteristic
707C2×C4C2×H(5,𝔽2)11yescharacteristic
708C2×C4C2×2−1+412yes—
709C2×C4C2×2−1+412yes—
710C8—24no—
711C8—42no—
712C8—42no—
713C8—42no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22C2×#53611yescharacteristic
729C22C2×#54611yescharacteristic
730C22#349911yescharacteristic
731C22C22×AGL(1,ℤ/8)11yescharacteristic
732C22C22×#13711yescharacteristic
733C22C2×#57711yescharacteristic
734C22C2×#57711yescharacteristic
735C4—22no—
736C4—22no—
737C4—22no—
738C4—22no—
739C4—41no—
740C4—41no—
741C4—41no—
742C4—44no—
743C4—41no—
744C4—41no—
745C4—41no—
746C4—82no—
747C4—82no—
748C4—82no—
749C4—82no—
750C4—82no—
751C4—82no—
752C4—82no—
753C4#331014yes—
754C4#332914yes—
755C4#352312yes—
756C4#353812yes—
757C2—42no—
758C2—42no—
759C2#3808111yescharacteristic
760C2#6086011yescharacteristic
761C2#6088111yescharacteristic
762C2C2×#331011yescharacteristic
763C2C2×#332911yescharacteristic
764C2#6247711yescharacteristic
765C2#6247811yescharacteristic
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. #33210C2semidirect
4. #32148C2semidirect
5. #31450C2semidirect
6. #30230C2semidirect
7. #29877C2semidirect
8. #29179C2semidirect
9. #28687C2semidirect
10. #27962C2semidirect
11. #27877C2semidirect
12. #26009C2semidirect
13. #25811C2semidirect
14. #25811C2semidirect
16. #22246C2semidirect
17. #21833C2semidirect
18. #21324C2semidirect

Maximal subgroups

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

subgroupindex
#362092
D4×C4⋊Q82
#332102
#321482
#314502
#302302
#298772
#291792
#286872
#279622
#278772
#260092
#258112
#249492
#222462
#218332
#213242
#211022