Finite Group Databasebeta

← #7649986

Subgroups — #7649986

Order 512.

6136 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42931C218yesmaximal, complemented
2#42486C218yesmaximal, complemented
3#40612C218yesmaximal, complemented
4#39980C218yesmaximal, complemented
5#39367C218yesmaximal, complemented
6#37684C218yesmaximal, complemented
7#35574C212yesmaximal, complemented
8#35532C212yesmaximal, complemented
9#35515C212yesmaximal, complemented
10#35280C212yesmaximal, complemented
11#35174C211yesmaximal, characteristic, complemented
12C2×#2542C211yesmaximal, characteristic, complemented
13#34745C212yesmaximal, complemented
14#34258C212yesmaximal
15#34256C211yesmaximal, characteristic
16C22×H(5,𝔽2)C2211yescharacteristic
17C2×#544C2211yescharacteristic, complemented
18C2×#543C2218yescomplemented
19C2×#533C2212yescomplemented
20C22×C4⋊Q8C2211yescharacteristic, complemented
21C22×C22⋊Q8C2214yescomplemented
22C2×#520C2212yes—
23C2×#518C2211yescharacteristic
24C2×C4×#41C2212yes—
25C22×C4×D4C2211yescharacteristic
26#2857C2218yescomplemented
27#2848C2214yescomplemented
28#2842C2218yescomplemented
29#2841C2218yescomplemented
30#2780C22116yescomplemented
31#2748C22116yescomplemented
32#2732C22116yescomplemented
33#2732C22116yescomplemented
34#2692C22116yescomplemented
35#2692C22116yescomplemented
36#2692C22116yescomplemented
37#2683C22116yescomplemented
38#2667C22116yescomplemented
39#2659C2218yescomplemented
40#2629C2218yescomplemented
41#2626C2218yescomplemented
42#2626C2214yescomplemented
43#2626C22116yescomplemented
44#2607C2218yescomplemented
45#2582C2218yescomplemented
46#2580C2218yescomplemented
47#2579C2218yescomplemented
48#2567C2214yescomplemented
49#2566C2214yescomplemented
50#2565C2214yescomplemented
51#2549C22116yescomplemented
52#2542C2218yescomplemented
53#2542C2218yescomplemented
54#2542C2214yescomplemented
55#2538C2218yescomplemented
56#2538C2218yescomplemented
57#2454C2218yescomplemented
58#2454C2218yescomplemented
59#2454C2214yescomplemented
60#2453C2214yescomplemented
61#2452C2218yescomplemented
62#2452C2218yescomplemented
63#2452C2214yescomplemented
64#2452C2218yescomplemented
65#2451C2214yescomplemented
66#2451C2218yescomplemented
67#2450C2218yescomplemented
68#2449C2218yescomplemented
69#2449C22116yescomplemented
70#2441C2218yescomplemented
71#2440C2218yescomplemented
72#2440C2218yescomplemented
73#2439C2218yescomplemented
74#2437C22116yescomplemented
75#2437C22116yescomplemented
76#2437C2218yescomplemented
77#2417C22116yescomplemented
78#2409C2218yescomplemented
79#2396C2218yescomplemented
80C2×#399C2214yescomplemented
81#2341C2218yes—
82#2339C2218yes—
83D4×C22⋊C4C22116yes—
84D4×C22⋊C4C2218yes—
85D4×C22⋊C4C2218yes—
86#2329C2218yescomplemented
87#2317C2212yescomplemented
88#2316C2211yescharacteristic, complemented
89#2316C2212yescomplemented
90#2311C2214yes—
91#2311C2212yes—
92#2311C2212yes—
93#2309C2212yes—
94#2309C2214yes—
95#2308C2214yes—
96C4×C22⋊Q8C2218yescomplemented
97#2297C2214yes—
98#2297C2212yes—
99#2297C2212yes—
100#2296C2212yescomplemented
101#2296C2212yescomplemented
102C2×#390C2212yes—
103C2×#390C2214yes—
104C2×#386C2214yes—
105C2×#384C2212yescomplemented
106C2×C4×C4⋊C4C2211yescharacteristic, complemented
107C2×H(5,𝔽2)—44no—
108C2×H(5,𝔽2)—44no—
109C2×H(5,𝔽2)Q8116yescomplemented
110C22×#41C2312yes—
111C22×#41C2314yes—
112C23×Q8C2312yes—
113C23×D4C2311yescharacteristic
114C23×D4C2314yes—
115C23×D4C2314yes—
116C24×C4C2312yes—
117#544—44no—
118#543—432no—
119#533—48no—
120C2×C4⋊Q8—44no—
121C2×C4⋊Q8C2314yes—
122C2×C4⋊Q8C2314yes—
123C2×C4⋊Q8C2318yes—
124C2×#125C2314yes—
125C2×#125C2314yes—
126C2×C22⋊Q8—416no—
127C2×C22⋊Q8C2318yes—
128C2×C22⋊Q8C2318yes—
129C2×C22⋊Q8C2314yes—
130C2×C22⋊Q8C2318yes—
131C2×C22⋊Q8C23116yes—
132C2×C22⋊Q8C2318yes—
133C2×C22⋊Q8C23116yes—
134C2×C22⋊Q8C23116yes—
135C2×C22⋊Q8C2318yes—
136C2×C22⋊Q8C23116yes—
137C2×C22⋊Q8C23116yes—
138#520—48no—
139#518—44no—
140C4×#41—48no—
141C2×C4×Q8C2314yes—
142C2×C4×Q8C2318yes—
143C2×C4×Q8C2314yes—
144C2×C4×D4—44no—
145C2×C4×D4C2314yes—
146C2×C4×D4C2318yes—
147C2×C4×D4C2318yes—
148C2×C4×D4C2318yes—
149C2×C4×D4C2314yes—
150C2×C4×D4C2318yes—
151C2×#117C2312yes—
152C2×#117C2312yes—
153C2×#117C2312yes—
154C2×#117C2314yes—
155C2×#117C2314yes—
156C22×C4⋊C4C2311yescharacteristic
157C22×C4⋊C4C2312yes—
158C22×C4⋊C4C2312yes—
159C22×C4⋊C4C2314yes—
160C22×C4⋊C4C2312yes—
161C22×C4⋊C4C2318yes—
162C22×C22⋊C4C2312yes—
163C22×C22⋊C4C2314yes—
164C22×C22⋊C4C2318yes—
165C22×C22⋊C4C23116yes—
166C22×C22⋊C4C2318yes—
167C22×C42C2311yescharacteristic
168C22×C42C2312yes—
169C22×C42C2314yes—
170#400C2318yes—
171#399C23116yes—
172#399C2318yes—
173#399C2318yes—
174#399C2318yes—
175#399C2318yes—
176#399C23116yes—
177#399C23116yes—
178#398C23116yes—
179#398C23116yes—
180#398C23116yes—
181#398C23116yes—
182#398C2318yes—
183#398C2318yes—
184#396C23116yes—
185#396C23116yes—
186#396C23116yes—
187#396C2318yes—
188#396C23116yes—
189#396C23116yes—
190#396C23116yes—
191#396C2318yes—
192#396C23116yes—
193#395C23116yes—
194#395C2318yes—
195#395C23116yes—
196#393C23116yes—
197#393C2318yes—
198#393C2318yes—
199#393C23116yes—
200#391C2312yes—
201#391C2314yes—
202#391C2312yes—
203#391C2314yes—
204#391C23116yes—
205#391C23116yes—
206#391C2314yes—
207#391C2318yes—
208#390C2312yes—
209#390C2314yes—
210#390C2314yes—
211#390C2314yes—
212#390C2314yes—
213#390C23116yes—
214#390C2318yes—
215#390C2314yes—
216#390C2318yes—
217#390C2314yes—
218#390C23116yes—
219#390C2314yes—
220#390C2312yes—
221#389C23116yes—
222#389C2318yes—
223#389C2318yes—
224#389C2318yes—
225#389C2318yes—
226#389C2314yes—
227#389C23116yes—
228#389C2318yes—
229#389C2314yes—
230#389C2314yes—
231#389C2314yes—
232#387C23116yes—
233#387C23116yes—
234#387C2318yes—
235#387C2318yes—
236#386C2314yes—
237#386C2318yes—
238#386C23116yes—
239#386C2318yes—
240#386C23116yes—
241#386C23116yes—
242#386C2318yes—
243#386C23116yes—
244#386C2314yes—
245#385C23116yes—
246#385C2318yes—
247#385C2314yes—
248#385C23116yes—
249#385C23116yes—
250#385C23116yes—
251#385C2314yes—
252#385C23116yes—
253#385C2318yes—
254#385C2318yes—
255#385C2318yes—
256#384C2314yes—
257#384C2314yes—
258#384C2314yes—
259#384C2318yes—
260#382C2314yes—
261#381C2318yes—
262#380C23116yes—
263#380C2318yes—
264#380C2318yes—
265#380C2318yes—
266#380C2314yes—
267#380C2318yes—
268#380C23116yes—
269#380C2318yes—
270#380C23116yes—
271#379C2318yes—
272#379C23116yes—
273#379C2318yes—
274C4×C4⋊C4C2314yes—
275C4×C4⋊C4C2314yes—
276C4×C4⋊C4C2314yes—
277C4×C4⋊C4C2318yes—
278C4×C4⋊C4C2314yes—
279C4×C22⋊C4C23116yes—
280C4×C22⋊C4C2318yes—
281C4×C22⋊C4C2318yes—
282C2×#95C2318yes—
283C2×#95C2312yes—
284C25C2412yes—
285C25C2414yes—
286H(5,𝔽2)—464no—
287C2×#41—28no—
288C2×#41—28no—
289C2×#41—48no—
290C2×#41—48no—
291C2×#41C2×Q8116yes—
292C2×#41C2×Q8132yescomplemented
293C22×Q8—44no—
294C22×Q8—48no—
295C22×Q8C2412yes—
296C22×Q8C2418yes—
297C22×Q8C2418yes—
298C22×Q8C2414yes—
299C22×D4—24no—
300C22×D4—24no—
301C22×D4—48no—
302C22×D4—48no—
303C22×D4—48no—
304C22×D4—48no—
305C22×D4C2×Q818yes—
306C22×D4C2×Q8132yes—
307C22×D4C2×Q8132yescomplemented
308C22×D4C2414yes—
309C22×D4C2414yes—
310C22×D4C2412yes—
311C22×D4C2418yes—
312C23×C4—48no—
313C23×C4—44no—
314C23×C4C2411yescharacteristic
315C23×C4C2414yes—
316C23×C4C2414yes—
317C23×C4C2414yes—
318C23×C4C2411yescharacteristic
319C23×C4C2418yes—
320C23×C4C2412yes—
321C23×C4C2418yes—
322C23×C4C2418yes—
323C23×C4C2418yes—
324C23×C4C2414yes—
325C23×C4C2411yescharacteristic
326C4⋊Q8—416no—
327C4⋊Q8—48no—
328C4⋊Q8—48no—
329#125—48no—
330#125—48no—
331C22⋊Q8—232no—
332C22⋊Q8—232no—
333C22⋊Q8—416no—
334C22⋊Q8—48no—
335C22⋊Q8—432no—
336C22⋊Q8—432no—
337C22⋊Q8—432no—
338C22⋊Q8—432no—
339C22⋊Q8—416no—
340C22⋊Q8—416no—
341C22⋊Q8—432no—
342C4×Q8—416no—
343C4×Q8—48no—
344C4×Q8—48no—
345C4×D4—416no—
346C4×D4—48no—
347C4×D4—416no—
348C4×D4—48no—
349C4×D4—416no—
350C4×D4—416no—
351#117—28no—
352#117—28no—
353#117—28no—
354#117—48no—
355#117—48no—
356C2×C4⋊C4—24no—
357C2×C4⋊C4—28no—
358C2×C4⋊C4—28no—
359C2×C4⋊C4—48no—
360C2×C4⋊C4—416no—
361C2×C4⋊C4—44no—
362C2×C4⋊C4C2414yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2414yes—
365C2×C4⋊C4C2414yes—
366C2×C4⋊C4C2414yes—
367C2×C4⋊C4C2412yes—
368C2×C4⋊C4C24116yes—
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2414yes—
371C2×C4⋊C4C2414yes—
372C2×C4⋊C4C2418yes—
373C2×C4⋊C4C2418yes—
374C2×C4⋊C4C2418yes—
375C2×C4⋊C4C24116yes—
376C2×C4⋊C4C2418yes—
377C2×C4⋊C4C2418yes—
378C2×C4⋊C4C2418yes—
379C2×C4⋊C4C2418yes—
380C2×C4⋊C4C2418yes—
381C2×C4⋊C4C2418yes—
382C2×C4⋊C4C24116yes—
383C2×C4⋊C4C24116yes—
384C2×C4⋊C4C2414yes—
385C2×C4⋊C4C2418yes—
386C2×C4⋊C4C2418yes—
387C2×C4⋊C4C2418yes—
388C2×C4⋊C4C2412yes—
389C2×C22⋊C4—416no—
390C2×C22⋊C4—432no—
391C2×C22⋊C4—416no—
392C2×C22⋊C4—48no—
393C2×C22⋊C4—44no—
394C2×C22⋊C4C2414yes—
395C2×C22⋊C4C2418yes—
396C2×C22⋊C4C2418yes—
397C2×C22⋊C4C24116yes—
398C2×C22⋊C4C2414yes—
399C2×C22⋊C4C2414yes—
400C2×C22⋊C4C2418yes—
401C2×C22⋊C4C2418yes—
402C2×C22⋊C4C24116yes—
403C2×C22⋊C4C24116yes—
404C2×C22⋊C4C24116yes—
405C2×C22⋊C4C24116yes—
406C2×C22⋊C4C2418yes—
407C2×C22⋊C4C2418yes—
408C2×C22⋊C4C2418yes—
409C2×C22⋊C4C24116yes—
410C2×C22⋊C4C2418yes—
411C2×C42—24no—
412C2×C42—28no—
413C2×C42—48no—
414C2×C42C2414yes—
415C2×C42C2412yes—
416C2×C42C2414yes—
417C2×C42C2414yes—
418C2×C42C2414yes—
419C2×C42C2414yes—
420C2×C42C2412yes—
421C2×C42C2418yes—
422C2×C42C2418yes—
423#95C2418yes—
424#95C2414yes—
425#95C2412yes—
426#95C2412yes—
427#95C24116yes—
428#95C2418yes—
429#95C2418yes—
430#95C24116yes—
431#95C2418yes—
432#95C2418yes—
433#95C2418yes—
434#95C2418yes—
435#95C2418yes—
436#95C24116yes—
437#95C2418yes—
438#95C24116yes—
439C24—24no—
440C24—24no—
441C24—44no—
442C24—44no—
443C24—48no—
444C24—44no—
445C24—44no—
446C24—48no—
447C24C22×Q818yes—
448C24C22×Q8116yes—
449C24C2514yes—
450C24C2514yes—
451C24C2511yescharacteristic
452#41—264no—
453#41—464no—
454C2×Q8—24no—
455C2×Q8—24no—
456C2×Q8—216no—
457C2×Q8—216no—
458C2×Q8—48no—
459C2×Q8—48no—
460C2×Q8—48no—
461C2×Q8—48no—
462C2×Q8—48no—
463C2×Q8—44no—
464C2×Q8—816no—
465C2×Q8C22×Q818yes—
466C2×D4—28no—
467C2×D4—28no—
468C2×D4—232no—
469C2×D4—28no—
470C2×D4—28no—
471C2×D4—24no—
472C2×D4—24no—
473C2×D4—464no—
474C2×D4—48no—
475C2×D4—48no—
476C2×D4—464no—
477C2×D4C22×Q8116yes—
478C2×D4C22×Q8116yes—
479C2×D4C22×Q818yes—
480C2×D4C22×Q8132yes—
481C22×C4—22no—
482C22×C4—28no—
483C22×C4—24no—
484C22×C4—28no—
485C22×C4—22no—
486C22×C4—28no—
487C22×C4—24no—
488C22×C4—28no—
489C22×C4—28no—
490C22×C4—216no—
491C22×C4—216no—
492C22×C4—44no—
493C22×C4—42no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—44no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—416no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—816no—
508C22×C4C22×Q8116yes—
509C22×C4C22×Q8116yes—
510C22×C4C22×Q814yes—
511C22×C4H(5,𝔽2)14yes—
512C22×C4H(5,𝔽2)14yes—
513C22×C4C2512yes—
514C22×C4C2514yes—
515C22×C4C2518yes—
516C22×C4C2518yes—
517C22×C4C2514yes—
518C22×C4C2514yes—
519C22×C4C2518yes—
520C22×C4C2514yes—
521C22×C4C2514yes—
522C22×C4C2512yes—
523C22×C4C2514yes—
524C22×C4C2512yes—
525C4⋊C4—28no—
526C4⋊C4—28no—
527C4⋊C4—28no—
528C4⋊C4—28no—
529C4⋊C4—24no—
530C4⋊C4—24no—
531C4⋊C4—232no—
532C4⋊C4—24no—
533C4⋊C4—28no—
534C4⋊C4—28no—
535C4⋊C4—216no—
536C4⋊C4—216no—
537C4⋊C4—48no—
538C4⋊C4—416no—
539C4⋊C4—48no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—48no—
543C4⋊C4—48no—
544C4⋊C4—48no—
545C4⋊C4—48no—
546C4⋊C4—416no—
547C4⋊C4—416no—
548C4⋊C4—48no—
549C4⋊C4—44no—
550C4⋊C4—48no—
551C4⋊C4H(5,𝔽2)18yescomplemented
552C22⋊C4—28no—
553C22⋊C4—28no—
554C22⋊C4—28no—
555C22⋊C4—216no—
556C22⋊C4—216no—
557C22⋊C4—232no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—416no—
561C22⋊C4—416no—
562C22⋊C4—416no—
563C22⋊C4—416no—
564C22⋊C4—48no—
565C22⋊C4—416no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C42—24no—
570C42—24no—
571C42—28no—
572C42—28no—
573C42—28no—
574C42—28no—
575C42—28no—
576C42—48no—
577C42—48no—
578C23—22no—
579C23—22no—
580C23—28no—
581C23—28no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—28no—
587C23—28no—
588C23—216no—
589C23—416no—
590C23—416no—
591C23—432no—
592C23—84no—
593C23—84no—
594C23—88no—
595C23—164no—
596C23—164no—
597C23—168no—
598C23C23×Q818yes—
599C23C23×Q818yes—
600C23C23×Q812yes—
601C23C2×H(5,𝔽2)12yes—
602C23C2×H(5,𝔽2)12yes—
603C23C2611yescharacteristic
604Q8—216no—
605Q8—816no—
606Q8—816no—
607Q8—164no—
608D4—232no—
609D4—232no—
610D4—216no—
611D4—432no—
612C2×C4—28no—
613C2×C4—24no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—232no—
620C2×C4—22no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—28no—
624C2×C4—28no—
625C2×C4—24no—
626C2×C4—28no—
627C2×C4—28no—
628C2×C4—28no—
629C2×C4—216no—
630C2×C4—24no—
631C2×C4—28no—
632C2×C4—28no—
633C2×C4—24no—
634C2×C4—28no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—28no—
638C2×C4—28no—
639C2×C4—416no—
640C2×C4—416no—
641C2×C4—44no—
642C2×C4—816no—
643C2×C4—816no—
644C2×C4—84no—
645C2×C4—88no—
646C2×C4—168no—
647C2×C4—168no—
648C2×C4#543116yescomplemented
649C2×C4C23×Q818yes—
650C2×C4C23×Q814yes—
651C2×C4C2×H(5,𝔽2)18yes—
652C2×C4C2×H(5,𝔽2)14yes—
653C2×C4C2×H(5,𝔽2)14yes—
654C2×C4C2×H(5,𝔽2)14yes—
655C22—24no—
656C22—22no—
657C22—22no—
658C22—24no—
659C22—216no—
660C22—216no—
661C22—28no—
662C22—28no—
663C22—44no—
664C22—44no—
665C22—44no—
666C22—44no—
667C22—48no—
668C22—48no—
669C22—816no—
670C22—1616no—
671C22C2×#54314yes—
672C22C24×Q811yescharacteristic
673C22C22×H(5,𝔽2)12yes—
674C22C22×H(5,𝔽2)11yescharacteristic
675C22C22×H(5,𝔽2)11yescharacteristic
676C222−1+612yes—
677C4—24no—
678C4—28no—
679C4—28no—
680C4—44no—
681C4—48no—
682C4—44no—
683C4—44no—
684C4—42no—
685C4—44no—
686C4—48no—
687C4—48no—
688C4C2×#54318yes—
689C2—24no—
690C2—48no—
691C2—48no—
692C2C22×#54311yescharacteristic
693C2#6283211yescharacteristic
694C2#6288711yescharacteristic
695C2#6291412yes—
696C2Q8×H(5,𝔽2)12yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×H(5,𝔽2)C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42931C2semidirect
2. #42486C2semidirect
3. #40612C2semidirect
4. #39980C2semidirect
5. #39367C2semidirect
6. #37684C2semidirect
7. #35574C2semidirect
8. #35532C2semidirect
9. #35515C2semidirect
10. #35280C2semidirect
11. #35174C2semidirect
12. C2×#2542C2semidirect
13. #34745C2semidirect
17. C2×#544C22semidirect
18. C2×#543C22semidirect
19. C2×#533C22semidirect
20. C22×C4⋊Q8C22semidirect
21. C22×C22⋊Q8C22semidirect
26. #2857C22semidirect
27. #2848C22semidirect
28. #2842C22semidirect
29. #2841C22semidirect
30. #2780C22semidirect
31. #2748C22semidirect
32. #2732C22semidirect
33. #2732C22semidirect
34. #2692C22semidirect
35. #2692C22semidirect
36. #2692C22semidirect
37. #2683C22semidirect
38. #2667C22semidirect
39. #2659C22semidirect
40. #2629C22semidirect
41. #2626C22semidirect
42. #2626C22semidirect
43. #2626C22semidirect
44. #2607C22semidirect
45. #2582C22semidirect
46. #2580C22semidirect
47. #2579C22semidirect
48. #2567C22semidirect
49. #2566C22semidirect
50. #2565C22semidirect
51. #2549C22semidirect
52. #2542C22semidirect
53. #2542C22semidirect
54. #2542C22semidirect
55. #2538C22semidirect
56. #2538C22semidirect
57. #2454C22semidirect
58. #2454C22semidirect
59. #2454C22semidirect
60. #2453C22semidirect
61. #2452C22semidirect
62. #2452C22semidirect
63. #2452C22semidirect
64. #2452C22semidirect
65. #2451C22semidirect
66. #2451C22semidirect
67. #2450C22semidirect
68. #2449C22semidirect
69. #2449C22semidirect
70. #2441C22semidirect
71. #2440C22semidirect
72. #2440C22semidirect
73. #2439C22semidirect
74. #2437C22semidirect
75. #2437C22semidirect
76. #2437C22semidirect
77. #2417C22semidirect
78. #2409C22semidirect
79. #2396C22semidirect
80. C2×#399C22semidirect
86. #2329C22semidirect
87. #2317C22semidirect
88. #2316C22semidirect
89. #2316C22semidirect
96. C4×C22⋊Q8C22semidirect
100. #2296C22semidirect
101. #2296C22semidirect
105. C2×#384C22semidirect
106. C2×C4×C4⋊C4C22semidirect
109. C2×H(5,𝔽2)Q8semidirect
292. C2×#41C2×Q8semidirect
307. C22×D4C2×Q8semidirect
551. C4⋊C4H(5,𝔽2)semidirect
648. C2×C4#543semidirect

Maximal subgroups

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

subgroupindex
#429312
#424862
#406122
#399802
#393672
#376842
#355742
#355322
#355152
#352802
#351742
C2×#25422
#347452
#342582
#342562