Finite Group Databasebeta

← #7985308

Subgroups — #7985308

Order 512.

5597 conjugacy classes of subgroups.

The subgroup lattice has 699 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59827C211yesmaximal, characteristic, complemented
2#59420C212yesmaximal
3#59042C214yesmaximal, complemented
4#48214C218yesmaximal, complemented
5#45622C214yesmaximal, complemented
6#45081C218yesmaximal, complemented
7#42559C218yesmaximal, complemented
8#39633C214yesmaximal, complemented
9#39121C214yesmaximal, complemented
10#38930C214yesmaximal, complemented
11Q8×#127C211yesmaximal, characteristic, complemented
12#36134C212yesmaximal, complemented
13D4×C22⋊Q8C214yesmaximal, complemented
14#35240C214yesmaximal, complemented
15#34945C212yesmaximal, complemented
16#34498C212yesmaximal, complemented
17C4×D42C211yesmaximal, characteristic
18C2×#559C2212yes—
19C2×D4×Q8C2214yescomplemented
20C2×D4×Q8C2212yescomplemented
21C2×D42C2211yescharacteristic
22C2×#533C2214yescomplemented
23C22×C22⋊Q8C2214yescomplemented
24C22×C4×D4C2214yes—
25#2868C2211yescharacteristic, complemented
26#2868C2212yescomplemented
27#2857C2214yescomplemented
28#2848C2218yescomplemented
29#2848C2214yescomplemented
30#2834C2218yescomplemented
31#2790C22116yescomplemented
32#2746C22116yescomplemented
33#2743C22116yescomplemented
34#2738C22116yescomplemented
35#2735C2218yescomplemented
36#2729C22116yescomplemented
37#2728C22116yescomplemented
38#2724C2214yescomplemented
39#2697C2218yes—
40#2690C22116yescomplemented
41#2647C2218yescomplemented
42#2633C22116yescomplemented
43#2627C2218yescomplemented
44#2582C2212yescomplemented
45#2573C2218yescomplemented
46#2571C2212yescomplemented
47#2568C2212yescomplemented
48#2561C2218yescomplemented
49#2552C2214yescomplemented
50#2547C2212yes—
51#2547C2214yescomplemented
52#2542C2214yes—
53#2542C2214yescomplemented
54#2542C2218yescomplemented
55#2542C2212yescomplemented
56#2542C2214yescomplemented
57#2538C2214yes—
58#2538C2212yes—
59#2536C2218yescomplemented
60#2536C2218yescomplemented
61#2534C2218yes—
62#2514C2214yescomplemented
63#2503C2214yescomplemented
64#2502C2218yescomplemented
65#2497C2218yescomplemented
66#2494C2214yescomplemented
67#2492C2218yescomplemented
68#2486C2214yescomplemented
69#2482C22116yescomplemented
70#2477C22116yescomplemented
71#2452C2218yes—
72#2451C2218yescomplemented
73#2449C22116yescomplemented
74#2447C2214yes—
75#2447C2218yescomplemented
76#2441C2218yescomplemented
77#2440C2218yescomplemented
78#2437C22116yescomplemented
79#2435C2218yes—
80#2429C2218yescomplemented
81#2427C2218yes—
82#2423C2218yescomplemented
83#2421C2218yescomplemented
84#2421C2214yescomplemented
85#2420C2218yes—
86#2417C2218yescomplemented
87#2409C2218yescomplemented
88#2401C2218yescomplemented
89#2376C2218yescomplemented
90#2367C2218yescomplemented
91#2366C2211yescharacteristic
92#2365C2214yescomplemented
93#2361C2214yes—
94#2358C2214yes—
95#2354C2214yes—
96Q8×C4⋊C4C2214yescomplemented
97D4×C4⋊C4C2212yes—
98D4×C4⋊C4C2214yescomplemented
99D4×C4⋊C4C2218yescomplemented
100Q8×C22⋊C4C2214yescomplemented
101D4×C22⋊C4C2214yes—
102D4×C22⋊C4C2218yes—
103#2326C2218yes—
104#2326C2218yescomplemented
105#2322C2218yescomplemented
106#2319C2218yescomplemented
107C4×C4⋊Q8C2212yescomplemented
108C4×#127C2212yes—
109C4×#127C2211yescharacteristic
110C4×#124C2214yes—
111C4×C22⋊Q8C2214yescomplemented
112C4×#121C2214yes—
113C4×#120C2214yes—
114#2295C2214yescomplemented
115#2283C2214yescomplemented
116C42×Q8C2211yescharacteristic, complemented
117C42×D4C2212yes—
118C23×Q8C2314yes—
119C23×D4C2314yes—
120C24×C4C2314yes—
121#559—216no—
122D4×Q8—416no—
123D4×Q8—48no—
124D42—28no—
125#533—416no—
126C2×C4⋊Q8C2312yes—
127C2×C4⋊Q8C2314yes—
128C2×C4⋊Q8C2312yes—
129C2×C4⋊Q8C2318yes—
130C2×C4⋊Q8C2314yes—
131C2×#127C2311yescharacteristic
132C2×#125C2318yes—
133C2×#124C2314yes—
134C2×#124C2318yes—
135C2×#123C2318yes—
136C2×C22⋊Q8—416no—
137C2×C22⋊Q8C2314yes—
138C2×C22⋊Q8C2318yes—
139C2×C22⋊Q8C2318yes—
140C2×C22⋊Q8C2318yes—
141C2×C22⋊Q8C2318yes—
142C2×C22⋊Q8C2314yes—
143C2×C22⋊Q8C23116yes—
144C2×C22⋊Q8C2318yes—
145C2×C22⋊Q8C23116yes—
146C2×#121C2314yes—
147C2×#120C2314yes—
148C2×C4×Q8C2314yes—
149C2×C4×Q8C2312yes—
150C2×C4×Q8C2311yescharacteristic
151C2×C4×Q8C2318yes—
152C2×C4×Q8C2318yes—
153C2×C4×D4—416no—
154C2×C4×D4C2314yes—
155C2×C4×D4C2318yes—
156C2×C4×D4C2312yes—
157C2×C4×D4C2312yes—
158C2×C4×D4C2312yes—
159C2×C4×D4C2314yes—
160C2×C4×D4C2318yes—
161C2×C4×D4C2312yes—
162C2×C4×D4C2314yes—
163C2×C4×D4C2314yes—
164C2×C4×D4C2318yes—
165C2×C4×D4C2318yes—
166C2×#117C2318yes—
167C22×C4⋊C4C2318yes—
168C22×C4⋊C4C2314yes—
169C22×C4⋊C4C2314yes—
170C22×C22⋊C4C2318yes—
171C22×C22⋊C4C2318yes—
172C22×C42C2314yes—
173#401C2318yes—
174#400C2318yes—
175#400C2318yes—
176#400C2318yes—
177#400C23116yes—
178#400C23116yes—
179#399C2318yes—
180#399C23116yes—
181#399C23116yes—
182#398C23116yes—
183#398C23116yes—
184#398C23116yes—
185#398C2318yes—
186#398C23116yes—
187#397C2318yes—
188#397C2318yes—
189#397C23116yes—
190#397C2318yes—
191#397C23116yes—
192#397C2318yes—
193#396C2318yes—
194#396C23116yes—
195#396C23116yes—
196#395C23116yes—
197#394C23116yes—
198#394C23116yes—
199#393C23116yes—
200#391C2314yes—
201#391C2314yes—
202#391C2314yes—
203#391C2314yes—
204#391C2318yes—
205#391C2314yes—
206#391C23116yes—
207#391C2318yes—
208#390C2318yes—
209#390C2314yes—
210#390C2312yes—
211#390C2314yes—
212#390C2314yes—
213#390C2318yes—
214#390C2314yes—
215#389C2314yes—
216#389C2314yes—
217#389C2314yes—
218#389C2314yes—
219#389C2318yes—
220#389C23116yes—
221#389C2318yes—
222#389C2318yes—
223#389C2314yes—
224#389C2314yes—
225#389C2318yes—
226#388C23116yes—
227#388C23116yes—
228#388C2318yes—
229#388C2318yes—
230#388C23116yes—
231#388C23116yes—
232#388C23116yes—
233#388C23116yes—
234#388C2318yes—
235#387C2318yes—
236#387C2318yes—
237#387C2318yes—
238#387C23116yes—
239#387C23116yes—
240#386C2314yes—
241#386C2318yes—
242#386C2318yes—
243#386C23116yes—
244#386C23116yes—
245#385C2318yes—
246#385C2318yes—
247#385C23116yes—
248#385C2314yes—
249#385C23116yes—
250#385C23116yes—
251#385C23116yes—
252#385C23116yes—
253#385C2318yes—
254#385C23116yes—
255#384C2311yescharacteristic
256#384C2312yes—
257#384C2312yes—
258#384C2318yes—
259#384C2318yes—
260#384C2314yes—
261#384C2312yes—
262#384C2314yes—
263#383C2318yes—
264#382C2314yes—
265#382C2314yes—
266#382C2314yes—
267#381C2318yes—
268#381C2318yes—
269#381C2318yes—
270#381C2318yes—
271#380C23116yes—
272#380C2314yes—
273#380C2314yes—
274#380C2314yes—
275#380C2314yes—
276#380C2318yes—
277#380C2318yes—
278#380C2314yes—
279#380C2318yes—
280#380C2318yes—
281#379C2314yes—
282#379C2318yes—
283#379C23116yes—
284C4×C4⋊C4C2314yes—
285C4×C4⋊C4C2314yes—
286C4×C4⋊C4C2312yes—
287C4×C4⋊C4C2312yes—
288C4×C4⋊C4C2312yes—
289C4×C4⋊C4C2318yes—
290C4×C4⋊C4C2312yes—
291C4×C4⋊C4C2318yes—
292C4×C4⋊C4C2312yes—
293C4×C4⋊C4C2314yes—
294C4×C4⋊C4C2311yescharacteristic
295C4×C22⋊C4C2318yes—
296C4×C22⋊C4C2314yes—
297C4×C22⋊C4C2314yes—
298C4×C22⋊C4C2318yes—
299C4×C22⋊C4C2314yes—
300C4×C22⋊C4C2318yes—
301C4×C22⋊C4C2314yes—
302#376C2318yes—
303C43C2311yescharacteristic
304C43C2312yes—
305C25C2414yes—
306C22×Q8—216no—
307C22×Q8—416no—
308C22×Q8C2414yes—
309C22×Q8C2414yes—
310C22×Q8C2411yescharacteristic
311C22×Q8C2418yes—
312C22×D4—216no—
313C22×D4—216no—
314C22×D4—48no—
315C22×D4C2418yes—
316C22×D4C2414yes—
317C22×D4C2412yes—
318C22×D4C2412yes—
319C23×C4—416no—
320C23×C4—48no—
321C23×C4C2414yes—
322C23×C4C2414yes—
323C23×C4C2414yes—
324C23×C4C2414yes—
325C23×C4C2418yes—
326C23×C4C2418yes—
327C23×C4C2418yes—
328C23×C4C2414yes—
329C4⋊Q8—28no—
330C4⋊Q8—216no—
331C4⋊Q8—416no—
332C4⋊Q8—44no—
333C4⋊Q8—48no—
334#127#4118yes—
335#125—416no—
336#124—232no—
337#124—216no—
338#123—232no—
339C22⋊Q8—216no—
340C22⋊Q8—432no—
341C22⋊Q8—432no—
342C22⋊Q8—416no—
343C22⋊Q8—416no—
344C22⋊Q8—416no—
345C22⋊Q8—48no—
346C22⋊Q8—416no—
347C22⋊Q8—416no—
348#121—216no—
349#120—216no—
350C4×Q8—24no—
351C4×Q8—216no—
352C4×Q8—28no—
353C4×Q8—416no—
354C4×Q8—416no—
355C4×D4—232no—
356C4×D4—28no—
357C4×D4—28no—
358C4×D4—28no—
359C4×D4—216no—
360C4×D4—416no—
361C4×D4—48no—
362C4×D4—48no—
363C4×D4—416no—
364C4×D4—416no—
365C4×D4—44no—
366C4×D4—48no—
367#117—416no—
368C2×C4⋊C4—48no—
369C2×C4⋊C4—48no—
370C2×C4⋊C4—416no—
371C2×C4⋊C4C2412yes—
372C2×C4⋊C4C2414yes—
373C2×C4⋊C4C2418yes—
374C2×C4⋊C4C2414yes—
375C2×C4⋊C4C2414yes—
376C2×C4⋊C4C2418yes—
377C2×C4⋊C4C2414yes—
378C2×C4⋊C4C2418yes—
379C2×C4⋊C4C2412yes—
380C2×C4⋊C4C2412yes—
381C2×C4⋊C4C2414yes—
382C2×C4⋊C4C2411yescharacteristic
383C2×C4⋊C4C2412yes—
384C2×C4⋊C4C2414yes—
385C2×C4⋊C4C2412yes—
386C2×C4⋊C4C2418yes—
387C2×C4⋊C4C2418yes—
388C2×C4⋊C4C24116yes—
389C2×C4⋊C4C2418yes—
390C2×C4⋊C4C2412yes—
391C2×C4⋊C4C2414yes—
392C2×C4⋊C4C24116yes—
393C2×C4⋊C4C24116yes—
394C2×C4⋊C4C24116yes—
395C2×C4⋊C4C2418yes—
396C2×C4⋊C4C2414yes—
397C2×C4⋊C4C2414yes—
398C2×C4⋊C4C2418yes—
399C2×C22⋊C4—416no—
400C2×C22⋊C4—416no—
401C2×C22⋊C4C2414yes—
402C2×C22⋊C4C2418yes—
403C2×C22⋊C4C2418yes—
404C2×C22⋊C4C2414yes—
405C2×C22⋊C4C24116yes—
406C2×C22⋊C4C2414yes—
407C2×C22⋊C4C2414yes—
408C2×C22⋊C4C2418yes—
409C2×C22⋊C4C2418yes—
410C2×C22⋊C4C2418yes—
411C2×C22⋊C4C2418yes—
412C2×C22⋊C4C2418yes—
413C2×C22⋊C4C24116yes—
414C2×C22⋊C4C24116yes—
415C2×C22⋊C4C24116yes—
416C2×C22⋊C4C2414yes—
417C2×C22⋊C4C2418yes—
418C2×C22⋊C4C2414yes—
419C2×C22⋊C4C2418yes—
420C2×C42—216no—
421C2×C42C2414yes—
422C2×C42C2414yes—
423C2×C42C2411yescharacteristic
424C2×C42C2414yes—
425C2×C42C2412yes—
426C2×C42C2414yes—
427C2×C42C2418yes—
428C2×C42C2412yes—
429C2×C42C2414yes—
430C2×C42C24116yes—
431C2×C42C2411yescharacteristic
432C2×C42C2412yes—
433C2×C42C2411yescharacteristic
434C2×C42C2412yes—
435#95C2418yes—
436#95C2418yes—
437#95C2418yes—
438#95C2418yes—
439#95C2418yes—
440#95C2414yes—
441#95C2414yes—
442#95C2414yes—
443#95C2418yes—
444#95C2418yes—
445#95C2418yes—
446#95C2418yes—
447#95C2418yes—
448#95C2414yes—
449#95C2412yes—
450#95C24116yes—
451#95C2418yes—
452#95C2418yes—
453#95C2418yes—
454#95C24116yes—
455#95C24116yes—
456#95C2418yes—
457C24—28no—
458C24—216no—
459C24—44no—
460C24—48no—
461C24—44no—
462C24C2514yes—
463C24C2514yes—
464C2×Q8—28no—
465C2×Q8—24no—
466C2×Q8—28no—
467C2×Q8—216no—
468C2×Q8—28no—
469C2×Q8—216no—
470C2×Q8—28no—
471C2×Q8—416no—
472C2×Q8—832no—
473C2×Q8H(5,𝔽2)14yes—
474C2×D4—216no—
475C2×D4—216no—
476C2×D4—24no—
477C2×D4—28no—
478C2×D4—24no—
479C2×D4—28no—
480C2×D4—42no—
481C2×D4—48no—
482C2×D4—42no—
483C2×D4—464no—
484C2×D4C2×#41116yes—
485C2×D4C2×#4118yes—
486C2×D42−1+418yes—
487C22×C4—28no—
488C22×C4—216no—
489C22×C4—28no—
490C22×C4—28no—
491C22×C4—28no—
492C22×C4—28no—
493C22×C4—28no—
494C22×C4—28no—
495C22×C4—216no—
496C22×C4—28no—
497C22×C4—28no—
498C22×C4—216no—
499C22×C4—44no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—44no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—416no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—832no—
509C22×C4C2514yes—
510C22×C4C2514yes—
511C22×C4C2512yes—
512C22×C4C2511yescharacteristic
513C22×C4C2514yes—
514C22×C4C2518yes—
515C22×C4C2518yes—
516C22×C4C2514yes—
517C22×C4C2514yes—
518C22×C4C2518yes—
519C22×C4C2511yescharacteristic
520C22×C4C2512yes—
521C22×C4C2512yes—
522C22×C4C2512yes—
523C22×C4C2511yescharacteristic
524C4⋊C4—28no—
525C4⋊C4—24no—
526C4⋊C4—216no—
527C4⋊C4—24no—
528C4⋊C4—28no—
529C4⋊C4—216no—
530C4⋊C4—28no—
531C4⋊C4—28no—
532C4⋊C4—216no—
533C4⋊C4—216no—
534C4⋊C4—28no—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—22no—
538C4⋊C4—28no—
539C4⋊C4—24no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—416no—
543C4⋊C4—44no—
544C4⋊C4—48no—
545C4⋊C4—44no—
546C4⋊C4—42no—
547C4⋊C4—416no—
548C4⋊C4—416no—
549C4⋊C4—416no—
550C4⋊C4—44no—
551C4⋊C4—48no—
552C22⋊C4—232no—
553C22⋊C4—28no—
554C22⋊C4—216no—
555C22⋊C4—28no—
556C22⋊C4—216no—
557C22⋊C4—216no—
558C22⋊C4—28no—
559C22⋊C4—28no—
560C22⋊C4—216no—
561C22⋊C4—216no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—416no—
565C22⋊C4—48no—
566C22⋊C4—44no—
567C22⋊C4—416no—
568C22⋊C4—416no—
569C22⋊C4—48no—
570C22⋊C4—44no—
571C42—216no—
572C42—28no—
573C42—28no—
574C42—28no—
575C42—24no—
576C42—22no—
577C42—28no—
578C42—24no—
579C42—28no—
580C42—41no—
581C42—42no—
582C42—416no—
583C42C2×#4114yes—
584C42H(5,𝔽2)18yes—
585C23—24no—
586C23—24no—
587C23—28no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—28no—
593C23—24no—
594C23—24no—
595C23—432no—
596C23—416no—
597C23—88no—
598C23—816no—
599C23—88no—
600C23C22×#4118yes—
601C23C2×2−1+418yes—
602C23C2611yescharacteristic
603Q8—28no—
604Q8—416no—
605Q8—416no—
606Q8—816no—
607D4—216no—
608D4—232no—
609D4—48no—
610D4—432no—
611C2×C4—21no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—28no—
617C2×C4—28no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—24no—
625C2×C4—28no—
626C2×C4—216no—
627C2×C4—28no—
628C2×C4—24no—
629C2×C4—28no—
630C2×C4—28no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—28no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—28no—
642C2×C4—416no—
643C2×C4—416no—
644C2×C4—416no—
645C2×C4—416no—
646C2×C4—816no—
647C2×C4—816no—
648C2×C4—88no—
649C2×C4—816no—
650C2×C4C22×#4112yes—
651C2×C4C22×#4114yes—
652C2×C4C2×H(5,𝔽2)14yes—
653C2×C4C2×H(5,𝔽2)14yes—
654C2×C4C2×H(5,𝔽2)14yes—
655C2×C4C2×H(5,𝔽2)14yes—
656C2×C4C2×H(5,𝔽2)12yes—
657C2×C4C2×2−1+414yes—
658C22—28no—
659C22—28no—
660C22—28no—
661C22—216no—
662C22—28no—
663C22—44no—
664C22—44no—
665C22—44no—
666C22—44no—
667C22—44no—
668C22—48no—
669C22—44no—
670C22—832no—
671C22C23×#4111yescharacteristic
672C22C22×H(5,𝔽2)11yescharacteristic
673C22C22×H(5,𝔽2)12yes—
674C22C22×2−1+412yes—
675C222−1+611yescharacteristic
676C4—22no—
677C4—24no—
678C4—24no—
679C4—48no—
680C4—44no—
681C4—44no—
682C4—48no—
683C4—41no—
684C4—42no—
685C4—44no—
686C4—48no—
687C4—44no—
688C4—44no—
689C4#352018yes—
690C4#354314yes—
691C2—48no—
692C2—48no—
693C2C2×#354311yescharacteristic
694C2C2×#352012yes—
695C2#6294212yes—
696C2#6298411yescharacteristic
697C2#6301611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×D42C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59827C2semidirect
3. #59042C2semidirect
4. #48214C2semidirect
5. #45622C2semidirect
6. #45081C2semidirect
7. #42559C2semidirect
8. #39633C2semidirect
9. #39121C2semidirect
10. #38930C2semidirect
11. Q8×#127C2semidirect
12. #36134C2semidirect
13. D4×C22⋊Q8C2semidirect
14. #35240C2semidirect
15. #34945C2semidirect
16. #34498C2semidirect
19. C2×D4×Q8C22semidirect
20. C2×D4×Q8C22semidirect
22. C2×#533C22semidirect
23. C22×C22⋊Q8C22semidirect
25. #2868C22semidirect
26. #2868C22semidirect
27. #2857C22semidirect
28. #2848C22semidirect
29. #2848C22semidirect
30. #2834C22semidirect
31. #2790C22semidirect
32. #2746C22semidirect
33. #2743C22semidirect
34. #2738C22semidirect
35. #2735C22semidirect
36. #2729C22semidirect
37. #2728C22semidirect
38. #2724C22semidirect
40. #2690C22semidirect
41. #2647C22semidirect
42. #2633C22semidirect
43. #2627C22semidirect
44. #2582C22semidirect
45. #2573C22semidirect
46. #2571C22semidirect
47. #2568C22semidirect
48. #2561C22semidirect
49. #2552C22semidirect
51. #2547C22semidirect
53. #2542C22semidirect
54. #2542C22semidirect
55. #2542C22semidirect
56. #2542C22semidirect
59. #2536C22semidirect
60. #2536C22semidirect
62. #2514C22semidirect
63. #2503C22semidirect
64. #2502C22semidirect
65. #2497C22semidirect
66. #2494C22semidirect
67. #2492C22semidirect
68. #2486C22semidirect
69. #2482C22semidirect
70. #2477C22semidirect
72. #2451C22semidirect
73. #2449C22semidirect
75. #2447C22semidirect
76. #2441C22semidirect
77. #2440C22semidirect
78. #2437C22semidirect
80. #2429C22semidirect
82. #2423C22semidirect
83. #2421C22semidirect
84. #2421C22semidirect
86. #2417C22semidirect
87. #2409C22semidirect
88. #2401C22semidirect
89. #2376C22semidirect
90. #2367C22semidirect
92. #2365C22semidirect
96. Q8×C4⋊C4C22semidirect
98. D4×C4⋊C4C22semidirect
99. D4×C4⋊C4C22semidirect
100. Q8×C22⋊C4C22semidirect
104. #2326C22semidirect
105. #2322C22semidirect
106. #2319C22semidirect
107. C4×C4⋊Q8C22semidirect
111. C4×C22⋊Q8C22semidirect
114. #2295C22semidirect
115. #2283C22semidirect
116. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598272
#594202
#590422
#482142
#456222
#450812
#425592
#396332
#391212
#389302
Q8×#1272
#361342
D4×C22⋊Q82
#352402
#349452
#344982
C4×D422