Finite Group Databasebeta

← #7688642

Subgroups — #7688642

Order 512.

5835 conjugacy classes of subgroups.

The subgroup lattice has 701 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59816C211yesmaximal, characteristic
2#59660C212yesmaximal, complemented
3#59420C214yesmaximal, complemented
4#59208C218yesmaximal, complemented
5#45214C214yesmaximal, complemented
6#43791C218yesmaximal, complemented
7#40169C218yesmaximal, complemented
8#39193C214yesmaximal, complemented
9#36594C211yesmaximal, characteristic, complemented
10#36559C212yesmaximal, complemented
11#36289C214yesmaximal, complemented
12#36174C214yesmaximal, complemented
13#36075C214yesmaximal, complemented
14#34954C211yesmaximal, characteristic, complemented
15#34943C212yesmaximal, complemented
16#34310C214yesmaximal, complemented
17C4×#559C212yesmaximal, complemented
18C2×#559C2212yes—
19C2×#556C2212yescomplemented
20C2×#554C2214yescomplemented
21C2×D42C2214yes—
22C2×D42C2212yes—
23C2×#518C2214yescomplemented
24#2868C2211yescharacteristic, complemented
25#2859C2214yescomplemented
26#2858C2212yes—
27#2850C2218yescomplemented
28#2779C22116yescomplemented
29#2757C22116yescomplemented
30#2749C22116yescomplemented
31#2735C2218yescomplemented
32#2728C2218yescomplemented
33#2697C22116yescomplemented
34#2679C2214yes—
35#2636C2218yescomplemented
36#2625C2214yescomplemented
37#2603C2218yescomplemented
38#2593C2214yescomplemented
39#2582C2211yescharacteristic, complemented
40#2572C2218yescomplemented
41#2571C2211yescharacteristic, complemented
42#2566C2218yescomplemented
43#2563C2214yescomplemented
44#2548C2212yes—
45#2547C2212yescomplemented
46#2545C2214yescomplemented
47#2538C2214yescomplemented
48#2538C2214yescomplemented
49#2538C2214yescomplemented
50#2537C2212yes—
51#2537C2214yes—
52#2536C2218yescomplemented
53#2534C22116yescomplemented
54#2526C22116yescomplemented
55#2518C22116yescomplemented
56#2513C2214yescomplemented
57#2512C2218yescomplemented
58#2504C2218yescomplemented
59#2495C2218yescomplemented
60#2495C2218yescomplemented
61#2490C2218yescomplemented
62#2490C2218yescomplemented
63#2489C2218yescomplemented
64#2483C2218yescomplemented
65#2480C22116yescomplemented
66#2472C22116yescomplemented
67#2472C22116yescomplemented
68#2452C2218yescomplemented
69#2452C2218yescomplemented
70#2448C2214yescomplemented
71#2442C2218yescomplemented
72#2435C2214yescomplemented
73#2435C2218yescomplemented
74#2427C2218yescomplemented
75#2427C2218yescomplemented
76#2420C2218yescomplemented
77#2420C2218yescomplemented
78#2408C2218yes—
79#2408C2214yes—
80#2398C2218yescomplemented
81#2395C2214yescomplemented
82#2374C2218yescomplemented
83#2367C2214yescomplemented
84#2367C2214yescomplemented
85#2366C2212yes—
86#2363C2218yescomplemented
87#2361C2218yescomplemented
88#2358C22116yescomplemented
89#2357C2214yescomplemented
90#2357C2214yescomplemented
91#2355C2212yescomplemented
92#2355C2212yescomplemented
93#2354C2214yescomplemented
94D4×C4⋊C4C2214yescomplemented
95D4×C4⋊C4C2214yescomplemented
96#2346C2214yescomplemented
97D4×C22⋊C4C2218yescomplemented
98D4×C22⋊C4C2218yescomplemented
99D4×C22⋊C4C2218yescomplemented
100#2324C2218yescomplemented
101#2321C22116yescomplemented
102C4×C4⋊Q8C2212yescomplemented
103C4×#127C2214yes—
104C4×#127C2212yes—
105C4×#127C2211yescharacteristic
106C4×#124C2214yescomplemented
107C4×#124C2214yescomplemented
108C4×#124C2214yescomplemented
109C4×#123C2218yescomplemented
110C4×#121C2218yescomplemented
111#2293C2214yescomplemented
112C2×#390C2218yescomplemented
113#2283C2218yescomplemented
114C42×Q8C2211yescharacteristic, complemented
115C42×Q8C2212yescomplemented
116C42×D4C2214yescomplemented
117C42×D4C2214yescomplemented
118C23×D4C2314yes—
119C23×D4C2318yes—
120#559—216no—
121#556—48no—
122#554—416no—
123D42—232no—
124D42—48no—
125C2×C4⋊Q8C2312yes—
126C2×C4⋊Q8C2312yes—
127C2×C4⋊Q8C2312yes—
128C2×#127C2311yescharacteristic
129C2×#127C2312yes—
130C2×#126C2318yes—
131C2×#125C2318yes—
132C2×#124C2314yes—
133C2×#124C2314yes—
134C2×#124C2314yes—
135C2×#124C2314yes—
136C2×#124C2314yes—
137C2×#123C2318yes—
138C2×C22⋊Q8C2318yes—
139C2×C22⋊Q8C2314yes—
140C2×C22⋊Q8C23116yes—
141C2×#121C2318yes—
142C2×#121C2318yes—
143C2×#121C2318yes—
144C2×#120C23116yes—
145C2×#120C2318yes—
146#518—416no—
147C2×C4×Q8C2312yes—
148C2×C4×Q8C2312yes—
149C2×C4×Q8C2312yes—
150C2×C4×Q8C2311yescharacteristic
151C2×C4×Q8C2314yes—
152C2×C4×Q8C2312yes—
153C2×C4×D4C2314yes—
154C2×C4×D4C2314yes—
155C2×C4×D4C2314yes—
156C2×C4×D4C2314yes—
157C2×C4×D4C2314yes—
158C2×C4×D4C2314yes—
159C2×C4×D4C2318yes—
160C2×C4×D4C2318yes—
161C2×C4×D4C2314yes—
162C2×C4×D4C2312yes—
163C2×C4×D4C2318yes—
164C2×C4×D4C2314yes—
165C2×C4×D4C2318yes—
166C2×C4×D4C2318yes—
167C2×#117C2314yes—
168C2×#117C2314yes—
169C22×C4⋊C4C2318yes—
170C22×C22⋊C4C23116yes—
171C22×C22⋊C4C23116yes—
172C22×C42C2318yes—
173#400C2314yes—
174#400C2318yes—
175#400C23116yes—
176#399C2314yes—
177#398C2314yes—
178#398C2318yes—
179#397C2314yes—
180#397C23116yes—
181#397C2318yes—
182#397C23116yes—
183#397C23116yes—
184#397C23116yes—
185#397C2318yes—
186#396C23116yes—
187#396C23116yes—
188#396C23116yes—
189#394C2318yes—
190#394C2318yes—
191#394C2318yes—
192#394C2318yes—
193#394C23116yes—
194#394C23116yes—
195#394C23116yes—
196#393C23116yes—
197#392C2318yes—
198#391C2314yes—
199#391C2314yes—
200#391C2314yes—
201#391C2314yes—
202#390C2318yes—
203#390C2314yes—
204#390C2318yes—
205#390C2312yes—
206#390C2318yes—
207#390C2314yes—
208#390C2314yes—
209#390C2314yes—
210#390C23116yes—
211#390C2314yes—
212#390C2314yes—
213#390C2314yes—
214#390C2318yes—
215#390C2318yes—
216#390C23116yes—
217#390C2314yes—
218#390C2314yes—
219#389C2318yes—
220#389C2314yes—
221#389C2318yes—
222#389C2314yes—
223#389C2318yes—
224#389C2318yes—
225#389C2318yes—
226#388C23116yes—
227#388C2318yes—
228#388C23116yes—
229#388C23116yes—
230#388C2318yes—
231#388C2318yes—
232#388C2318yes—
233#388C23116yes—
234#388C23116yes—
235#388C2318yes—
236#388C2318yes—
237#388C2318yes—
238#388C2318yes—
239#388C2318yes—
240#388C2318yes—
241#387C2318yes—
242#387C2318yes—
243#386C23116yes—
244#386C2318yes—
245#386C23116yes—
246#386C23116yes—
247#386C23116yes—
248#386C23116yes—
249#386C23116yes—
250#385C23116yes—
251#385C23116yes—
252#385C23116yes—
253#385C2318yes—
254#384C2311yescharacteristic
255#384C2312yes—
256#384C2314yes—
257#384C2314yes—
258#383C23116yes—
259#382C2318yes—
260#382C2314yes—
261#382C2318yes—
262#382C2314yes—
263#382C2314yes—
264#381C23116yes—
265#381C2318yes—
266#380C2318yes—
267#380C2318yes—
268#380C2318yes—
269#380C2314yes—
270#380C2318yes—
271#380C23116yes—
272#379C23116yes—
273#379C23116yes—
274#379C2318yes—
275C4×C4⋊C4C2318yes—
276C4×C4⋊C4C2312yes—
277C4×C4⋊C4C2314yes—
278C4×C4⋊C4C2314yes—
279C4×C4⋊C4C2314yes—
280C4×C4⋊C4C2314yes—
281C4×C4⋊C4C2312yes—
282C4×C4⋊C4C2312yes—
283C4×C4⋊C4C2312yes—
284C4×C4⋊C4C2314yes—
285C4×C4⋊C4C2314yes—
286C4×C4⋊C4C2311yescharacteristic
287C4×C4⋊C4C2314yes—
288C4×C4⋊C4C2314yes—
289C4×C4⋊C4C2312yes—
290C4×C22⋊C4C2318yes—
291C4×C22⋊C4C2318yes—
292C4×C22⋊C4C2318yes—
293C4×C22⋊C4C2318yes—
294C4×C22⋊C4C2318yes—
295C4×C22⋊C4C2314yes—
296C4×C22⋊C4C2318yes—
297C4×C22⋊C4C23116yes—
298C4×C22⋊C4C2318yes—
299C4×C22⋊C4C2318yes—
300#376C2318yes—
301C43C2311yescharacteristic
302C43C2314yes—
303C43C2312yes—
304C25C2418yes—
305C22×Q8C2411yescharacteristic
306C22×Q8C2412yes—
307C22×Q8C2414yes—
308C22×D4—232no—
309C22×D4—232no—
310C22×D4—48no—
311C22×D4—416no—
312C22×D4—416no—
313C22×D4C2414yes—
314C22×D4C2418yes—
315C22×D4C2414yes—
316C22×D4C2414yes—
317C22×D4C2412yes—
318C22×D4C24116yes—
319C22×D4C2414yes—
320C23×C4C2418yes—
321C23×C4C2414yes—
322C23×C4C2418yes—
323C23×C4C2418yes—
324C23×C4C24116yes—
325C4⋊Q8—28no—
326C4⋊Q8—44no—
327C4⋊Q8—82no—
328#127—24no—
329#127#41116yes—
330#126—416no—
331#125—416no—
332#124—216no—
333#124—216no—
334#124—48no—
335#124—48no—
336#124—84no—
337#123—232no—
338C22⋊Q8—432no—
339C22⋊Q8—416no—
340C22⋊Q8—48no—
341#121—232no—
342#121—232no—
343#121—416no—
344#120—264no—
345#120—416no—
346C4×Q8—24no—
347C4×Q8—28no—
348C4×Q8—28no—
349C4×Q8—28no—
350C4×Q8—48no—
351C4×Q8—44no—
352C4×D4—216no—
353C4×D4—216no—
354C4×D4—216no—
355C4×D4—216no—
356C4×D4—216no—
357C4×D4—216no—
358C4×D4—416no—
359C4×D4—48no—
360C4×D4—416no—
361C4×D4—416no—
362C4×D4—48no—
363C4×D4—416no—
364C4×D4—44no—
365C4×D4—88no—
366#117—216no—
367#117—48no—
368C2×C4⋊C4—416no—
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2418yes—
371C2×C4⋊C4C2414yes—
372C2×C4⋊C4C2412yes—
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2414yes—
376C2×C4⋊C4C2414yes—
377C2×C4⋊C4C2414yes—
378C2×C4⋊C4C2414yes—
379C2×C4⋊C4C2414yes—
380C2×C4⋊C4C2414yes—
381C2×C4⋊C4C2412yes—
382C2×C4⋊C4C24116yes—
383C2×C4⋊C4C2414yes—
384C2×C4⋊C4C2414yes—
385C2×C4⋊C4C2412yes—
386C2×C4⋊C4C2418yes—
387C2×C4⋊C4C2414yes—
388C2×C4⋊C4C2418yes—
389C2×C4⋊C4C2414yes—
390C2×C4⋊C4C24116yes—
391C2×C4⋊C4C2414yes—
392C2×C4⋊C4C2411yescharacteristic
393C2×C22⋊C4—432no—
394C2×C22⋊C4—816no—
395C2×C22⋊C4C2418yes—
396C2×C22⋊C4C2418yes—
397C2×C22⋊C4C2418yes—
398C2×C22⋊C4C2418yes—
399C2×C22⋊C4C2418yes—
400C2×C22⋊C4C2418yes—
401C2×C22⋊C4C2418yes—
402C2×C22⋊C4C24116yes—
403C2×C22⋊C4C2418yes—
404C2×C22⋊C4C2418yes—
405C2×C22⋊C4C2418yes—
406C2×C22⋊C4C2418yes—
407C2×C22⋊C4C24116yes—
408C2×C22⋊C4C24116yes—
409C2×C22⋊C4C24116yes—
410C2×C22⋊C4C24116yes—
411C2×C22⋊C4C2414yes—
412C2×C22⋊C4C2418yes—
413C2×C22⋊C4C2418yes—
414C2×C22⋊C4C2418yes—
415C2×C22⋊C4C2418yes—
416C2×C22⋊C4C2418yes—
417C2×C22⋊C4C2418yes—
418C2×C42—416no—
419C2×C42C2414yes—
420C2×C42C2418yes—
421C2×C42C2414yes—
422C2×C42C2411yescharacteristic
423C2×C42C2412yes—
424C2×C42C2414yes—
425C2×C42C2414yes—
426C2×C42C2414yes—
427C2×C42C2412yes—
428C2×C42C2414yes—
429C2×C42C2414yes—
430C2×C42C2414yes—
431C2×C42C2412yes—
432C2×C42C2411yescharacteristic
433C2×C42C2418yes—
434C2×C42C2418yes—
435C2×C42C2412yes—
436C2×C42C2411yescharacteristic
437#95C2414yes—
438#95C2418yes—
439#95C24116yes—
440#95C2414yes—
441#95C2414yes—
442#95C2418yes—
443#95C2418yes—
444#95C2418yes—
445#95C2418yes—
446#95C2418yes—
447#95C2418yes—
448#95C2418yes—
449#95C24116yes—
450#95C2414yes—
451#95C2418yes—
452#95C2412yes—
453#95C2414yes—
454#95C2414yes—
455#95C24116yes—
456C24—232no—
457C24—48no—
458C24—48no—
459C24—48no—
460C24—416no—
461C24C2514yes—
462C24C2518yes—
463C2×Q8—24no—
464C2×Q8—24no—
465C2×Q8—22no—
466C2×Q8—24no—
467C2×Q8—28no—
468C2×Q8—24no—
469C2×Q8—44no—
470C2×Q8—44no—
471C2×D4—232no—
472C2×D4—232no—
473C2×D4—28no—
474C2×D4—28no—
475C2×D4—28no—
476C2×D4—28no—
477C2×D4—28no—
478C2×D4—24no—
479C2×D4—28no—
480C2×D4—28no—
481C2×D4—48no—
482C2×D4—44no—
483C2×D4—44no—
484C2×D4—42no—
485C2×D4—416no—
486C2×D4—42no—
487C2×D4—416no—
488C2×D4—464no—
489C2×D4—864no—
490C2×D4C2×#41116yes—
491C2×D4C2×#41116yes—
492C2×D4C2×#41116yes—
493C22×C4—216no—
494C22×C4—216no—
495C22×C4—216no—
496C22×C4—216no—
497C22×C4—28no—
498C22×C4—216no—
499C22×C4—216no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—416no—
505C22×C4—416no—
506C22×C4—416no—
507C22×C4C2514yes—
508C22×C4C2514yes—
509C22×C4C2514yes—
510C22×C4C2518yes—
511C22×C4C2514yes—
512C22×C4C2512yes—
513C22×C4C2514yes—
514C22×C4C2514yes—
515C22×C4C2511yescharacteristic
516C22×C4C2518yes—
517C22×C4C2512yes—
518C22×C4C2512yes—
519C22×C4C2511yescharacteristic
520C22×C4C2511yescharacteristic
521C22×C4C2512yes—
522C4⋊C4—24no—
523C4⋊C4—24no—
524C4⋊C4—28no—
525C4⋊C4—28no—
526C4⋊C4—28no—
527C4⋊C4—28no—
528C4⋊C4—24no—
529C4⋊C4—216no—
530C4⋊C4—28no—
531C4⋊C4—28no—
532C4⋊C4—28no—
533C4⋊C4—24no—
534C4⋊C4—24no—
535C4⋊C4—416no—
536C4⋊C4—44no—
537C4⋊C4—44no—
538C4⋊C4—44no—
539C4⋊C4—42no—
540C4⋊C4—48no—
541C4⋊C4—44no—
542C4⋊C4—48no—
543C4⋊C4—416no—
544C4⋊C4—44no—
545C4⋊C4H(5,𝔽2)14yes—
546C22⋊C4—216no—
547C22⋊C4—216no—
548C22⋊C4—232no—
549C22⋊C4—216no—
550C22⋊C4—216no—
551C22⋊C4—216no—
552C22⋊C4—216no—
553C22⋊C4—216no—
554C22⋊C4—216no—
555C22⋊C4—48no—
556C22⋊C4—416no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—416no—
560C22⋊C4—416no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—416no—
564C22⋊C4—44no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C42—28no—
570C42—28no—
571C42—216no—
572C42—28no—
573C42—28no—
574C42—22no—
575C42—24no—
576C42—28no—
577C42—28no—
578C42—24no—
579C42—48no—
580C42—48no—
581C42—44no—
582C42—44no—
583C42—42no—
584C42—41no—
585C42C2×#4118yes—
586C42H(5,𝔽2)14yes—
587C23—28no—
588C23—28no—
589C23—28no—
590C23—28no—
591C23—28no—
592C23—28no—
593C23—28no—
594C23—24no—
595C23—24no—
596C23—28no—
597C23—24no—
598C23—432no—
599C23—832no—
600C23—832no—
601C23—168no—
602C23—168no—
603C23C22×#41116yes—
604C23C2611yescharacteristic
605Q8—44no—
606Q8—48no—
607Q8—88no—
608D4—232no—
609D4—232no—
610D4—416no—
611D4—432no—
612D4—416no—
613D4—84no—
614D4—832no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—28no—
625C2×C4—28no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—28no—
629C2×C4—24no—
630C2×C4—21no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—28no—
635C2×C4—28no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—28no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—28no—
647C2×C4—416no—
648C2×C4—432no—
649C2×C4—816no—
650C2×C4—816no—
651C2×C4—1616no—
652C2×C4C22×#4114yes—
653C2×C4C22×#4114yes—
654C2×C4C22×#4114yes—
655C2×C4C2×H(5,𝔽2)14yes—
656C2×C4C2×H(5,𝔽2)12yes—
657C2×C4C2×H(5,𝔽2)12yes—
658C2×C4C2×H(5,𝔽2)14yes—
659C2×C4#58514yes—
660C22—216no—
661C22—216no—
662C22—216no—
663C22—48no—
664C22—48no—
665C22—48no—
666C22—48no—
667C22—48no—
668C22—44no—
669C22—48no—
670C22—44no—
671C22—44no—
672C22—1632no—
673C22C23×#4112yes—
674C22C22×H(5,𝔽2)11yescharacteristic
675C22C22×H(5,𝔽2)11yescharacteristic
676C22C2×#58512yes—
677C22H(7,𝔽2)11yescharacteristic
678C4—24no—
679C4—24no—
680C4—22no—
681C4—44no—
682C4—44no—
683C4—41no—
684C4—44no—
685C4—48no—
686C4—44no—
687C4—44no—
688C4—48no—
689C4—44no—
690C4—42no—
691C4#348114yes—
692C4#351418yes—
693C2—416no—
694C2—84no—
695C2C2×#348111yescharacteristic
696C2C2×#351412yes—
697C2#6291611yescharacteristic
698C2#6299212yes—
699C2#6302411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59816C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #59660C2semidirect
3. #59420C2semidirect
4. #59208C2semidirect
5. #45214C2semidirect
6. #43791C2semidirect
7. #40169C2semidirect
8. #39193C2semidirect
9. #36594C2semidirect
10. #36559C2semidirect
11. #36289C2semidirect
12. #36174C2semidirect
13. #36075C2semidirect
14. #34954C2semidirect
15. #34943C2semidirect
16. #34310C2semidirect
17. C4×#559C2semidirect
19. C2×#556C22semidirect
20. C2×#554C22semidirect
23. C2×#518C22semidirect
24. #2868C22semidirect
25. #2859C22semidirect
27. #2850C22semidirect
28. #2779C22semidirect
29. #2757C22semidirect
30. #2749C22semidirect
31. #2735C22semidirect
32. #2728C22semidirect
33. #2697C22semidirect
35. #2636C22semidirect
36. #2625C22semidirect
37. #2603C22semidirect
38. #2593C22semidirect
39. #2582C22semidirect
40. #2572C22semidirect
41. #2571C22semidirect
42. #2566C22semidirect
43. #2563C22semidirect
45. #2547C22semidirect
46. #2545C22semidirect
47. #2538C22semidirect
48. #2538C22semidirect
49. #2538C22semidirect
52. #2536C22semidirect
53. #2534C22semidirect
54. #2526C22semidirect
55. #2518C22semidirect
56. #2513C22semidirect
57. #2512C22semidirect
58. #2504C22semidirect
59. #2495C22semidirect
60. #2495C22semidirect
61. #2490C22semidirect
62. #2490C22semidirect
63. #2489C22semidirect
64. #2483C22semidirect
65. #2480C22semidirect
66. #2472C22semidirect
67. #2472C22semidirect
68. #2452C22semidirect
69. #2452C22semidirect
70. #2448C22semidirect
71. #2442C22semidirect
72. #2435C22semidirect
73. #2435C22semidirect
74. #2427C22semidirect
75. #2427C22semidirect
76. #2420C22semidirect
77. #2420C22semidirect
80. #2398C22semidirect
81. #2395C22semidirect
82. #2374C22semidirect
83. #2367C22semidirect
84. #2367C22semidirect
86. #2363C22semidirect
87. #2361C22semidirect
88. #2358C22semidirect
89. #2357C22semidirect
90. #2357C22semidirect
91. #2355C22semidirect
92. #2355C22semidirect
93. #2354C22semidirect
94. D4×C4⋊C4C22semidirect
95. D4×C4⋊C4C22semidirect
96. #2346C22semidirect
97. D4×C22⋊C4C22semidirect
98. D4×C22⋊C4C22semidirect
99. D4×C22⋊C4C22semidirect
100. #2324C22semidirect
101. #2321C22semidirect
102. C4×C4⋊Q8C22semidirect
106. C4×#124C22semidirect
107. C4×#124C22semidirect
108. C4×#124C22semidirect
109. C4×#123C22semidirect
110. C4×#121C22semidirect
111. #2293C22semidirect
112. C2×#390C22semidirect
113. #2283C22semidirect
114. C42×Q8C22semidirect
115. C42×Q8C22semidirect
116. C42×D4C22semidirect
117. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598162
#596602
#594202
#592082
#452142
#437912
#401692
#391932
#365942
#365592
#362892
#361742
#360752
#349542
#349432
#343102
C4×#5592