Finite Group Databasebeta

← #7670746

Subgroups — #7670746

Order 512.

5848 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59373C218yesmaximal, complemented
2#59372C218yesmaximal, complemented
3#39039C218yesmaximal, complemented
4#39038C218yesmaximal, complemented
5C2×#2853C211yesmaximal, characteristic, complemented
6#36352C218yesmaximal, complemented
7#36242C218yesmaximal, complemented
8#35455C211yesmaximal, characteristic, complemented
9#35448C212yesmaximal, complemented
10#35446C211yesmaximal, characteristic
11#34995C212yesmaximal, complemented
12#34985C212yesmaximal, complemented
13#34256C212yesmaximal
14#34251C212yesmaximal, complemented
15C2×C4×#123C212yesmaximal, complemented
16C22×H(5,𝔽2)C2211yescharacteristic
17C2×#543C2211yescharacteristic, complemented
18C22×#123C2212yes—
19C22×#123C2211yescharacteristic
20C2×#518C2212yes—
21C22×C4×D4C2212yes—
22C23×C42C2211yescharacteristic, complemented
23#2855C2214yescomplemented
24#2853C2218yescomplemented
25#2853C2218yescomplemented
26#2852C2218yescomplemented
27#2848C2214yescomplemented
28#2762C2218yescomplemented
29#2761C2218yescomplemented
30#2747C2218yescomplemented
31#2745C2218yescomplemented
32#2744C2218yescomplemented
33#2743C2218yescomplemented
34#2737C2218yescomplemented
35#2735C2218yescomplemented
36#2643C2218yescomplemented
37#2627C2214yescomplemented
38#2626C2214yescomplemented
39#2605C2218yescomplemented
40#2601C2218yescomplemented
41#2597C2218yescomplemented
42#2595C2218yescomplemented
43#2588C2218yescomplemented
44#2578C2218yescomplemented
45#2577C2218yescomplemented
46#2576C2218yescomplemented
47#2575C2218yescomplemented
48#2574C2218yescomplemented
49#2573C2218yescomplemented
50#2569C2218yescomplemented
51#2561C2218yescomplemented
52#2561C2214yescomplemented
53#2560C2218yescomplemented
54#2531C2218yescomplemented
55#2520C2218yescomplemented
56#2516C2218yescomplemented
57#2510C2218yescomplemented
58#2503C2214yescomplemented
59#2493C2218yescomplemented
60#2493C2218yescomplemented
61#2488C2218yescomplemented
62#2488C2218yescomplemented
63#2484C2218yescomplemented
64#2483C2218yescomplemented
65#2481C2218yescomplemented
66#2480C2218yescomplemented
67#2480C2218yescomplemented
68#2477C2218yescomplemented
69#2450C2218yescomplemented
70#2450C2218yescomplemented
71#2449C2218yescomplemented
72#2449C2218yescomplemented
73#2419C2218yescomplemented
74#2419C2218yescomplemented
75#2419C2218yescomplemented
76#2419C2218yescomplemented
77#2406C2218yes—
78#2406C2214yes—
79#2405C2218yes—
80#2405C2214yes—
81#2373C2218yescomplemented
82#2368C2218yescomplemented
83#2353C2218yescomplemented
84#2352C2218yescomplemented
85#2343C2218yescomplemented
86#2343C2218yescomplemented
87#2342C2218yescomplemented
88#2342C2218yescomplemented
89#2339C2218yes—
90#2339C2218yes—
91D4×C22⋊C4C2218yes—
92D4×C22⋊C4C2218yes—
93#2318C2218yescomplemented
94#2315C2212yescomplemented
95#2315C2212yescomplemented
96#2311C2214yes—
97#2308C2212yes—
98#2308C2211yescharacteristic
99#2308C2212yes—
100#2308C2214yes—
101#2308C2212yes—
102C4×#123C2218yescomplemented
103C4×#123C2218yescomplemented
104C4×#123C2218yescomplemented
105C4×#123C2218yescomplemented
106#2297C2214yes—
107#2290C2218yescomplemented
108C2×#388C2214yescomplemented
109C2×#388C2214yescomplemented
110C2×#387C2214yescomplemented
111C2×#387C2214yescomplemented
112C2×#386C2212yes—
113C2×#386C2214yes—
114C2×#386C2212yes—
115C2×#385C2212yescomplemented
116C2×#385C2212yescomplemented
117C2×#381C2211yescharacteristic, complemented
118C2×#381C2212yescomplemented
119#2273C2211yescharacteristic, complemented
120C2×C4×C4⋊C4C2214yescomplemented
121C2×C4×C22⋊C4C2214yescomplemented
122C2×C4×C22⋊C4C2212yescomplemented
123C2×H(5,𝔽2)—216no—
124C2×H(5,𝔽2)—44no—
125C22×#41C2314yes—
126C22×#41C2312yes—
127C23×D4C2311yescharacteristic
128C23×D4C2314yes—
129C23×D4C2312yes—
130C23×D4C2312yes—
131C24×C4C2311yescharacteristic
132C24×C4C2312yes—
133C24×C4C2312yes—
134#543—44no—
135C2×#126C2318yes—
136C2×#123—216no—
137C2×#123—44no—
138C2×#123C2318yes—
139C2×#123C2314yes—
140C2×#123C2314yes—
141C2×#123C2318yes—
142C2×C22⋊Q8C2318yes—
143C2×C22⋊Q8C2314yes—
144C2×C22⋊Q8C2314yes—
145C2×C22⋊Q8C2314yes—
146#518—216no—
147C2×C4×D4—48no—
148C2×C4×D4C2318yes—
149C2×C4×D4C2318yes—
150C2×C4×D4C2318yes—
151C2×C4×D4C2318yes—
152C2×#117C2314yes—
153C2×#117C2318yes—
154C22×C4⋊C4C2314yes—
155C22×C4⋊C4C2312yes—
156C22×C4⋊C4C2314yes—
157C22×C4⋊C4C2312yes—
158C22×C4⋊C4C2314yes—
159C22×C22⋊C4C2312yes—
160C22×C22⋊C4C2312yes—
161C22×C22⋊C4C2311yescharacteristic
162C22×C22⋊C4C2312yes—
163C22×C22⋊C4C2312yes—
164C22×C22⋊C4C2314yes—
165C22×C22⋊C4C2314yes—
166C22×C22⋊C4C2312yes—
167C22×C22⋊C4C2318yes—
168C22×C22⋊C4C2312yes—
169C22×C22⋊C4C2314yes—
170C22×C22⋊C4C2314yes—
171C22×C42—44no—
172C22×C42C2314yes—
173C22×C42C2314yes—
174C22×C42C2314yes—
175C22×C42C2312yes—
176C22×C42C2314yes—
177#401C2318yes—
178#400C2318yes—
179#400C2318yes—
180#400C2318yes—
181#400C2318yes—
182#400C2318yes—
183#400C2318yes—
184#400C2318yes—
185#400C2318yes—
186#399C2318yes—
187#398C2318yes—
188#398C2318yes—
189#398C2318yes—
190#398C2318yes—
191#397C2318yes—
192#397C2318yes—
193#397C2318yes—
194#397C2318yes—
195#397C2318yes—
196#397C2318yes—
197#397C2318yes—
198#397C2318yes—
199#396C2318yes—
200#396C2318yes—
201#396C2318yes—
202#395C2318yes—
203#395C2318yes—
204#394C2318yes—
205#394C2318yes—
206#394C2318yes—
207#393C2318yes—
208#393C2318yes—
209#391C2318yes—
210#391C2318yes—
211#391C2318yes—
212#391C2318yes—
213#390C2318yes—
214#390C2318yes—
215#389C2318yes—
216#388C2318yes—
217#388C2318yes—
218#388C2318yes—
219#388C2318yes—
220#388C2318yes—
221#388C2318yes—
222#388C2318yes—
223#388C2318yes—
224#388C2318yes—
225#388C2318yes—
226#388C2318yes—
227#388C2318yes—
228#388C2318yes—
229#388C2318yes—
230#388C2318yes—
231#388C2318yes—
232#388C2318yes—
233#387C2318yes—
234#387C2318yes—
235#387C2318yes—
236#387C2318yes—
237#387C2318yes—
238#387C2318yes—
239#387C2318yes—
240#387C2318yes—
241#387C2318yes—
242#387C2318yes—
243#387C2318yes—
244#387C2318yes—
245#387C2318yes—
246#387C2318yes—
247#387C2318yes—
248#387C2318yes—
249#387C2318yes—
250#387C2318yes—
251#387C2318yes—
252#387C2318yes—
253#387C2318yes—
254#386C2318yes—
255#386C2314yes—
256#386C2314yes—
257#386C2314yes—
258#386C2314yes—
259#386C2314yes—
260#386C2314yes—
261#386C2318yes—
262#386C2318yes—
263#386C2318yes—
264#386C2318yes—
265#386C2318yes—
266#386C2318yes—
267#386C2314yes—
268#386C2314yes—
269#386C2318yes—
270#386C2318yes—
271#386C2318yes—
272#386C2314yes—
273#386C2314yes—
274#385C2318yes—
275#385C2318yes—
276#385C2318yes—
277#385C2318yes—
278#385C2318yes—
279#385C2318yes—
280#385C2314yes—
281#385C2318yes—
282#385C2318yes—
283#385C2318yes—
284#385C2318yes—
285#385C2314yes—
286#385C2314yes—
287#385C2318yes—
288#385C2318yes—
289#385C2314yes—
290#385C2318yes—
291#383C2318yes—
292#383C2318yes—
293#382C2318yes—
294#382C2318yes—
295#381C2318yes—
296#381C2318yes—
297#381C2314yes—
298#381C2314yes—
299#381C2318yes—
300#381C2314yes—
301#381C2314yes—
302#381C2314yes—
303#381C2312yes—
304#381C2318yes—
305#381C2318yes—
306#381C2318yes—
307#380C2318yes—
308#380C2318yes—
309#380C2318yes—
310#380C2318yes—
311#380C2314yes—
312#380C2314yes—
313#380C2318yes—
314#379C2314yes—
315#379C2318yes—
316#379C2318yes—
317#379C2314yes—
318#379C2314yes—
319#379C2312yes—
320C4×C4⋊C4C2318yes—
321C4×C4⋊C4C2318yes—
322C4×C4⋊C4C2318yes—
323C4×C4⋊C4C2318yes—
324C4×C4⋊C4C2318yes—
325C4×C22⋊C4C2318yes—
326C4×C22⋊C4C2318yes—
327C4×C22⋊C4C2314yes—
328C4×C22⋊C4C2318yes—
329C4×C22⋊C4C2318yes—
330C4×C22⋊C4C2318yes—
331C4×C22⋊C4C2318yes—
332C4×C22⋊C4C2318yes—
333C4×C22⋊C4C2318yes—
334C4×C22⋊C4C2318yes—
335C4×C22⋊C4C2318yes—
336#376C2318yes—
337C2×#95C2318yes—
338C2×#95C2314yes—
339C2×#95C2314yes—
340C2×#95C2314yes—
341C2×#95C2314yes—
342C2×#95C2314yes—
343C2×#95C2314yes—
344C2×#95C2314yes—
345C2×#95C2314yes—
346C25C2411yescharacteristic
347C25C2412yes—
348C25C2412yes—
349C25C2411yescharacteristic
350H(5,𝔽2)—464no—
351C2×#41—216no—
352C2×#41—216no—
353C2×#41—216no—
354C2×#41—48no—
355C2×#41—44no—
356C22×Q8C2412yes—
357C22×Q8C2414yes—
358C22×D4—28no—
359C22×D4—28no—
360C22×D4—216no—
361C22×D4—28no—
362C22×D4—24no—
363C22×D4—216no—
364C22×D4—216no—
365C22×D4—44no—
366C22×D4—48no—
367C22×D4#41116yes—
368C22×D4C2414yes—
369C22×D4C2412yes—
370C22×D4C2414yes—
371C22×D4C2414yes—
372C22×D4C2414yes—
373C23×C4—28no—
374C23×C4—28no—
375C23×C4—24no—
376C23×C4—48no—
377C23×C4—48no—
378C23×C4—44no—
379C23×C4C2414yes—
380C23×C4C2412yes—
381C23×C4C2411yescharacteristic
382C23×C4C2412yes—
383C23×C4C2414yes—
384C23×C4C2414yes—
385C23×C4C2414yes—
386C23×C4C2412yes—
387C23×C4C2412yes—
388C23×C4C2412yes—
389C23×C4C2412yes—
390C23×C4C2414yes—
391C23×C4C2414yes—
392C23×C4C2418yes—
393C23×C4C2414yes—
394C23×C4C2412yes—
395C23×C4C2412yes—
396C23×C4C2418yes—
397#126—416no—
398#123—232no—
399#123—216no—
400#123—216no—
401#123—416no—
402C22⋊Q8—48no—
403C22⋊Q8—48no—
404C22⋊Q8—48no—
405C22⋊Q8—416no—
406C4×D4—232no—
407C4×D4—232no—
408C4×D4—416no—
409C4×D4—416no—
410#117—216no—
411#117—416no—
412C2×C4⋊C4—216no—
413C2×C4⋊C4—48no—
414C2×C4⋊C4—48no—
415C2×C4⋊C4—44no—
416C2×C4⋊C4—44no—
417C2×C4⋊C4C2418yes—
418C2×C4⋊C4C2418yes—
419C2×C4⋊C4C2418yes—
420C2×C4⋊C4C2418yes—
421C2×C4⋊C4C2418yes—
422C2×C4⋊C4C2418yes—
423C2×C4⋊C4C2418yes—
424C2×C4⋊C4C2418yes—
425C2×C4⋊C4C2418yes—
426C2×C4⋊C4C2418yes—
427C2×C4⋊C4C2414yes—
428C2×C4⋊C4C2414yes—
429C2×C4⋊C4C2414yes—
430C2×C4⋊C4C2418yes—
431C2×C4⋊C4C2418yes—
432C2×C4⋊C4C2418yes—
433C2×C22⋊C4—216no—
434C2×C22⋊C4—28no—
435C2×C22⋊C4—28no—
436C2×C22⋊C4—28no—
437C2×C22⋊C4—216no—
438C2×C22⋊C4—28no—
439C2×C22⋊C4—24no—
440C2×C22⋊C4—48no—
441C2×C22⋊C4—416no—
442C2×C22⋊C4—48no—
443C2×C22⋊C4—44no—
444C2×C22⋊C4—44no—
445C2×C22⋊C4C2414yes—
446C2×C22⋊C4C2418yes—
447C2×C22⋊C4C2414yes—
448C2×C22⋊C4C2418yes—
449C2×C22⋊C4C2414yes—
450C2×C22⋊C4C2414yes—
451C2×C22⋊C4C2414yes—
452C2×C22⋊C4C2414yes—
453C2×C22⋊C4C2418yes—
454C2×C22⋊C4C2414yes—
455C2×C22⋊C4C2414yes—
456C2×C22⋊C4C2414yes—
457C2×C22⋊C4C2418yes—
458C2×C22⋊C4C2418yes—
459C2×C22⋊C4C2418yes—
460C2×C22⋊C4C2418yes—
461C2×C22⋊C4C2418yes—
462C2×C22⋊C4C2418yes—
463C2×C22⋊C4C2418yes—
464C2×C22⋊C4C2418yes—
465C2×C22⋊C4C2418yes—
466C2×C22⋊C4C2418yes—
467C2×C22⋊C4C2418yes—
468C2×C22⋊C4C2418yes—
469C2×C22⋊C4C2418yes—
470C2×C42—48no—
471C2×C42—44no—
472C2×C42—48no—
473C2×C42—48no—
474C2×C42—48no—
475C2×C42C2418yes—
476C2×C42C2418yes—
477C2×C42C2418yes—
478C2×C42C2418yes—
479C2×C42C2418yes—
480C2×C42C2414yes—
481C2×C42C2414yes—
482C2×C42C2414yes—
483C2×C42C2414yes—
484#95C2418yes—
485#95C2418yes—
486#95C2418yes—
487#95C2418yes—
488#95C2418yes—
489#95C2418yes—
490#95C2418yes—
491#95C2418yes—
492#95C2418yes—
493#95C2418yes—
494#95C2418yes—
495#95C2418yes—
496#95C2418yes—
497#95C2418yes—
498#95C2418yes—
499#95C2418yes—
500#95C2418yes—
501#95C2418yes—
502#95C2418yes—
503#95C2418yes—
504#95C2418yes—
505#95C2418yes—
506#95C2418yes—
507#95C2418yes—
508#95C2418yes—
509#95C2418yes—
510#95C2418yes—
511#95C2418yes—
512C24—24no—
513C24—24no—
514C24—28no—
515C24—24no—
516C24—22no—
517C24—44no—
518C24—44no—
519C24—44no—
520C24—42no—
521C24—44no—
522C24—48no—
523C24C2×#4118yes—
524C24C2×#4118yes—
525C24H(5,𝔽2)14yes—
526C24C2512yes—
527C24C2514yes—
528C24C2511yescharacteristic
529C24C2512yes—
530#41—464no—
531#41—432no—
532C2×Q8—28no—
533C2×Q8—42no—
534C2×Q8—44no—
535C2×Q8—48no—
536C2×D4—264no—
537C2×D4—28no—
538C2×D4—28no—
539C2×D4—28no—
540C2×D4—28no—
541C2×D4—28no—
542C2×D4—28no—
543C2×D4—28no—
544C2×D4—28no—
545C2×D4—28no—
546C2×D4—28no—
547C2×D4—44no—
548C2×D4—42no—
549C2×D4—432no—
550C2×D4—464no—
551C2×D4—416no—
552C2×D4C2×#41116yes—
553C2×D4C2×#41116yes—
554C22×C4—24no—
555C22×C4—24no—
556C22×C4—24no—
557C22×C4—28no—
558C22×C4—28no—
559C22×C4—28no—
560C22×C4—28no—
561C22×C4—24no—
562C22×C4—24no—
563C22×C4—28no—
564C22×C4—24no—
565C22×C4—24no—
566C22×C4—24no—
567C22×C4—28no—
568C22×C4—28no—
569C22×C4—28no—
570C22×C4—22no—
571C22×C4—216no—
572C22×C4—28no—
573C22×C4—28no—
574C22×C4—24no—
575C22×C4—24no—
576C22×C4—24no—
577C22×C4—28no—
578C22×C4—28no—
579C22×C4—28no—
580C22×C4—28no—
581C22×C4—216no—
582C22×C4—44no—
583C22×C4—44no—
584C22×C4—44no—
585C22×C4—44no—
586C22×C4—44no—
587C22×C4—42no—
588C22×C4—44no—
589C22×C4—44no—
590C22×C4—44no—
591C22×C4—48no—
592C22×C4—44no—
593C22×C4—44no—
594C22×C4—44no—
595C22×C4—44no—
596C22×C4—48no—
597C22×C4—48no—
598C22×C4—48no—
599C22×C4—44no—
600C22×C4—432no—
601C22×C4—416no—
602C22×C4—816no—
603C22×C4C2×#4118yes—
604C22×C4C2512yes—
605C22×C4C2518yes—
606C22×C4C2518yes—
607C22×C4C2514yes—
608C22×C4C2514yes—
609C22×C4C2514yes—
610C22×C4C2518yes—
611C22×C4C2514yes—
612C22×C4C2514yes—
613C22×C4C2514yes—
614C22×C4C2514yes—
615C4⋊C4—216no—
616C4⋊C4—216no—
617C4⋊C4—216no—
618C4⋊C4—216no—
619C4⋊C4—216no—
620C4⋊C4—48no—
621C4⋊C4—48no—
622C4⋊C4—48no—
623C4⋊C4—48no—
624C4⋊C4—48no—
625C4⋊C4—48no—
626C4⋊C4—44no—
627C4⋊C4—44no—
628C4⋊C4—44no—
629C4⋊C4—48no—
630C4⋊C4—48no—
631C22⋊C4—28no—
632C22⋊C4—28no—
633C22⋊C4—216no—
634C22⋊C4—28no—
635C22⋊C4—28no—
636C22⋊C4—28no—
637C22⋊C4—28no—
638C22⋊C4—216no—
639C22⋊C4—216no—
640C22⋊C4—28no—
641C22⋊C4—28no—
642C22⋊C4—28no—
643C22⋊C4—216no—
644C22⋊C4—216no—
645C22⋊C4—48no—
646C22⋊C4—48no—
647C22⋊C4—48no—
648C22⋊C4—48no—
649C22⋊C4—48no—
650C22⋊C4—48no—
651C22⋊C4—48no—
652C22⋊C4—48no—
653C22⋊C4—48no—
654C22⋊C4—48no—
655C22⋊C4—48no—
656C42—216no—
657C42—216no—
658C42—44no—
659C42—44no—
660C42—44no—
661C42—44no—
662C42—48no—
663C42—48no—
664C42—48no—
665C23—24no—
666C23—24no—
667C23—24no—
668C23—24no—
669C23—24no—
670C23—28no—
671C23—28no—
672C23—216no—
673C23—24no—
674C23—22no—
675C23—28no—
676C23—48no—
677C23—416no—
678C23—416no—
679C23—48no—
680C23—44no—
681C23—84no—
682C23—88no—
683C23—84no—
684C23—88no—
685C23—84no—
686C23—816no—
687C23—164no—
688C23#551116yes—
689C23C22×#4118yes—
690C23C22×#4114yes—
691C23C22×#4114yes—
692C23C22×#4114yes—
693C23C2×H(5,𝔽2)14yes—
694C23C2×H(5,𝔽2)12yes—
695C23C2611yescharacteristic
696Q8—48no—
697Q8—164no—
698D4—232no—
699D4—232no—
700D4—416no—
701D4—48no—
702D4—416no—
703C2×C4—216no—
704C2×C4—24no—
705C2×C4—24no—
706C2×C4—24no—
707C2×C4—24no—
708C2×C4—216no—
709C2×C4—28no—
710C2×C4—28no—
711C2×C4—28no—
712C2×C4—24no—
713C2×C4—24no—
714C2×C4—24no—
715C2×C4—24no—
716C2×C4—24no—
717C2×C4—24no—
718C2×C4—24no—
719C2×C4—24no—
720C2×C4—22no—
721C2×C4—28no—
722C2×C4—28no—
723C2×C4—28no—
724C2×C4—28no—
725C2×C4—28no—
726C2×C4—28no—
727C2×C4—28no—
728C2×C4—24no—
729C2×C4—24no—
730C2×C4—28no—
731C2×C4—28no—
732C2×C4—48no—
733C2×C4—416no—
734C2×C4—416no—
735C2×C4—416no—
736C2×C4—416no—
737C2×C4—48no—
738C2×C4—416no—
739C2×C4—48no—
740C2×C4—44no—
741C2×C4—816no—
742C2×C4—88no—
743C2×C4—88no—
744C2×C4—816no—
745C2×C4—84no—
746C2×C4—84no—
747C2×C4—84no—
748C2×C4C22×#4118yes—
749C2×C4#58518yes—
750C22—28no—
751C22—28no—
752C22—28no—
753C22—24no—
754C22—24no—
755C22—24no—
756C22—216no—
757C22—28no—
758C22—416no—
759C22—48no—
760C22—44no—
761C22—44no—
762C22—48no—
763C22—44no—
764C22—42no—
765C22—816no—
766C22—164no—
767C22—168no—
768C22C2×#55118yes—
769C22C2×#55114yes—
770C22C23×#4112yes—
771C22C22×H(5,𝔽2)11yescharacteristic
772C22C2×#58514yes—
773C4—28no—
774C4—28no—
775C4—48no—
776C4—48no—
777C4—48no—
778C4—44no—
779C4—44no—
780C4—44no—
781C4—44no—
782C4—44no—
783C4—42no—
784C2—28no—
785C2—24no—
786C2—48no—
787C2—82no—
788C2C22×#55111yescharacteristic
789C2#6278114yes—
790C2#6282012yes—
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. #59373C2semidirect
2. #59372C2semidirect
3. #39039C2semidirect
4. #39038C2semidirect
5. C2×#2853C2semidirect
6. #36352C2semidirect
7. #36242C2semidirect
8. #35455C2semidirect
9. #35448C2semidirect
11. #34995C2semidirect
12. #34985C2semidirect
14. #34251C2semidirect
15. C2×C4×#123C2semidirect
17. C2×#543C22semidirect
22. C23×C42C22semidirect
23. #2855C22semidirect
24. #2853C22semidirect
25. #2853C22semidirect
26. #2852C22semidirect
27. #2848C22semidirect
28. #2762C22semidirect
29. #2761C22semidirect
30. #2747C22semidirect
31. #2745C22semidirect
32. #2744C22semidirect
33. #2743C22semidirect
34. #2737C22semidirect
35. #2735C22semidirect
36. #2643C22semidirect
37. #2627C22semidirect
38. #2626C22semidirect
39. #2605C22semidirect
40. #2601C22semidirect
41. #2597C22semidirect
42. #2595C22semidirect
43. #2588C22semidirect
44. #2578C22semidirect
45. #2577C22semidirect
46. #2576C22semidirect
47. #2575C22semidirect
48. #2574C22semidirect
49. #2573C22semidirect
50. #2569C22semidirect
51. #2561C22semidirect
52. #2561C22semidirect
53. #2560C22semidirect
54. #2531C22semidirect
55. #2520C22semidirect
56. #2516C22semidirect
57. #2510C22semidirect
58. #2503C22semidirect
59. #2493C22semidirect
60. #2493C22semidirect
61. #2488C22semidirect
62. #2488C22semidirect
63. #2484C22semidirect
64. #2483C22semidirect
65. #2481C22semidirect
66. #2480C22semidirect
67. #2480C22semidirect
68. #2477C22semidirect
69. #2450C22semidirect
70. #2450C22semidirect
71. #2449C22semidirect
72. #2449C22semidirect
73. #2419C22semidirect
74. #2419C22semidirect
75. #2419C22semidirect
76. #2419C22semidirect
81. #2373C22semidirect
82. #2368C22semidirect
83. #2353C22semidirect
84. #2352C22semidirect
85. #2343C22semidirect
86. #2343C22semidirect
87. #2342C22semidirect
88. #2342C22semidirect
93. #2318C22semidirect
94. #2315C22semidirect
95. #2315C22semidirect
102. C4×#123C22semidirect
103. C4×#123C22semidirect
104. C4×#123C22semidirect
105. C4×#123C22semidirect
107. #2290C22semidirect
108. C2×#388C22semidirect
109. C2×#388C22semidirect
110. C2×#387C22semidirect
111. C2×#387C22semidirect
115. C2×#385C22semidirect
116. C2×#385C22semidirect
117. C2×#381C22semidirect
118. C2×#381C22semidirect
119. #2273C22semidirect
120. C2×C4×C4⋊C4C22semidirect
121. C2×C4×C22⋊C4C22semidirect
122. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#593732
#593722
#390392
#390382
C2×#28532
#363522
#362422
#354552
#354482
#354462
#349952
#349852
#342562
#342512
C2×C4×#1232