Finite Group Databasebeta

← #8093099

Subgroups — #8093099

Order 512.

6006 conjugacy classes of subgroups.

The subgroup lattice has 788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53137C213yesmaximal, complemented
2#53103C213yesmaximal, complemented
3#53098C216yesmaximal, complemented
4#53078C212yesmaximal, complemented
5#52993C211yesmaximal, characteristic, complemented
6#52988C211yesmaximal, characteristic, complemented
7#52742C212yesmaximal, complemented
8#52741C216yesmaximal, complemented
9#52398C212yesmaximal, complemented
10#52397C216yesmaximal, complemented
11#52299C212yesmaximal, complemented
12#52292C216yesmaximal, complemented
13#36677C216yesmaximal, complemented
14#36676C212yesmaximal, complemented
15#34809C213yesmaximal, complemented
16#34737C216yesmaximal, complemented
17#34736C213yesmaximal, complemented
18#34639C212yesmaximal, complemented
19C2×#2397C211yesmaximal, characteristic, complemented
20C23×#41C2211yescharacteristic
21C2×#525C2216yes—
22C22×C4×D4C2213yes—
23C22×C4×D4C2213yescomplemented
24C22×#117C2213yescomplemented
25#2842C2212yescomplemented
26#2841C2216yescomplemented
27#2838C22112yescomplemented
28#2837C22112yescomplemented
29#2834C2212yescomplemented
30#2829C22112yescomplemented
31#2828C22112yescomplemented
32#2827C22112yescomplemented
33#2826C2216yescomplemented
34#2826C2216yescomplemented
35#2825C2214yescomplemented
36#2825C22112yescomplemented
37#2824C2216yescomplemented
38#2815C2216yescomplemented
39#2813C22112yescomplemented
40#2812C2216yescomplemented
41#2807C2216yescomplemented
42#2801C2214yescomplemented
43#2796C22112yescomplemented
44#2780C22112yescomplemented
45#2778C22112yescomplemented
46#2760C2212yescomplemented
47#2752C2216yescomplemented
48#2746C22112yescomplemented
49#2742C2216yescomplemented
50#2735C2216yescomplemented
51#2703C22112yescomplemented
52#2693C2216yescomplemented
53#2688C22112yescomplemented
54#2678C22112yescomplemented
55#2675C2212yescomplemented
56#2668C2216yescomplemented
57#2645C2212yescomplemented
58#2645C2216yescomplemented
59#2644C2212yescomplemented
60#2644C2216yescomplemented
61#2643C22112yescomplemented
62#2643C2214yescomplemented
63#2487C2213yescomplemented
64#2487C2213yescomplemented
65#2486C2213yescomplemented
66#2486C2213yescomplemented
67#2485C2216yescomplemented
68#2485C2216yescomplemented
69#2484C2216yescomplemented
70#2483C2216yescomplemented
71#2482C2216yes—
72#2417C2216yescomplemented
73#2417C2216yescomplemented
74#2416C2216yescomplemented
75#2416C2216yescomplemented
76#2415C2216yescomplemented
77#2415C2216yescomplemented
78#2414C2216yescomplemented
79#2414C2216yescomplemented
80#2413C22112yescomplemented
81#2412C22112yescomplemented
82#2411C22112yescomplemented
83#2410C22112yescomplemented
84#2409C2213yescomplemented
85#2409C2213yescomplemented
86#2408C2213yescomplemented
87#2408C2213yescomplemented
88#2407C2216yescomplemented
89#2407C2216yescomplemented
90#2406C2216yes—
91#2405C2216yes—
92#2405C2216yes—
93#2404C2216yes—
94#2403C2216yes—
95#2401C2214yescomplemented
96#2401C22112yescomplemented
97#2397C2211yescharacteristic
98#2397C2211yescharacteristic
99#2397C2213yes—
100#2397C2213yes—
101#2397C2213yescomplemented
102#2397C2211yescharacteristic, complemented
103#2397C2211yescharacteristic, complemented
104#2397C2213yescomplemented
105#2395C2216yescomplemented
106#2395C2216yescomplemented
107C2×#399C2211yescharacteristic
108C2×#399C2213yescomplemented
109#2392C22112yescomplemented
110#2392C22112yescomplemented
111#2388C2216yescomplemented
112#2388C2216yescomplemented
113C2×#392C2213yes—
114C2×#392C2211yescharacteristic, complemented
115C4×#123C2216yescomplemented
116C4×#123C2216yescomplemented
117C4×#121C22112yescomplemented
118C4×#121C22112yescomplemented
119C4×#120C2216yescomplemented
120C4×#120C2216yescomplemented
121#2297C2216yes—
122#2296C2216yescomplemented
123#2280C2213yes—
124#2280C2213yescomplemented
125C2×#376C2211yescharacteristic, complemented
126C22×#41—412no—
127C22×#41C2312yes—
128C22×#41C2312yes—
129C22×#41C2312yes—
130C22×#41C2312yes—
131C23×Q8C2311yescharacteristic
132C23×D4C2312yes—
133C23×D4C2311yescharacteristic
134C23×D4C2313yes—
135C23×D4C2313yes—
136C24×C4C2311yescharacteristic
137C24×C4C2313yes—
138C24×C4C2312yes—
139#525—424no—
140C2×#123C23112yes—
141C2×#123C2316yes—
142C2×#123C2316yes—
143C2×C22⋊Q8C2316yes—
144C2×C22⋊Q8C2316yes—
145C2×#121C2316yes—
146C2×#121C2316yes—
147C2×#121C23112yes—
148C2×#121C23112yes—
149C2×#120C23112yes—
150C2×#120C2316yes—
151C2×#120C2316yes—
152C2×C4×D4—412no—
153C2×C4×D4—412no—
154C2×C4×D4C2313yes—
155C2×C4×D4C2313yes—
156C2×C4×D4C23112yes—
157C2×C4×D4C23112yes—
158C2×C4×D4C2313yes—
159C2×C4×D4C2316yes—
160C2×C4×D4C2313yes—
161C2×C4×D4C2313yes—
162C2×C4×D4C2313yes—
163C2×C4×D4C2313yes—
164C2×C4×D4C2313yes—
165C2×C4×D4C2316yes—
166C2×C4×D4C2313yes—
167C2×C4×D4C2313yes—
168C2×C4×D4C2313yes—
169C2×C4×D4C2313yes—
170C2×#117—412no—
171C2×#117C2316yes—
172C2×#117C2316yes—
173C2×#117C2316yes—
174C2×#117C2316yes—
175C22×C4⋊C4C2313yes—
176C22×C4⋊C4C2313yes—
177C22×C4⋊C4C2313yes—
178C22×C4⋊C4C2313yes—
179C22×C22⋊C4C2313yes—
180C22×C22⋊C4C2316yes—
181C22×C22⋊C4C2313yes—
182C22×C22⋊C4C2316yes—
183C22×C42C2313yes—
184C22×C42C2316yes—
185#401C2314yes—
186#401C23112yes—
187#400C23112yes—
188#400C2316yes—
189#400C23112yes—
190#400C2316yes—
191#400C23112yes—
192#400C23112yes—
193#399C2313yes—
194#399C2316yes—
195#399C2313yes—
196#399C2316yes—
197#399C2311yescharacteristic
198#399C2313yes—
199#399C2316yes—
200#399C2313yes—
201#399C2311yescharacteristic
202#399C2313yes—
203#399C2316yes—
204#399C2313yes—
205#398C2316yes—
206#398C23112yes—
207#398C2316yes—
208#398C23112yes—
209#397C23112yes—
210#397C2316yes—
211#397C23112yes—
212#397C23112yes—
213#397C23112yes—
214#397C23112yes—
215#397C23112yes—
216#397C23112yes—
217#397C2316yes—
218#397C23112yes—
219#396C23112yes—
220#396C2314yes—
221#396C23112yes—
222#396C23112yes—
223#396C23112yes—
224#396C23112yes—
225#395C2316yes—
226#395C2316yes—
227#394C23112yes—
228#394C23112yes—
229#394C23112yes—
230#394C23112yes—
231#394C23112yes—
232#394C2316yes—
233#394C23112yes—
234#394C23112yes—
235#394C23112yes—
236#394C23112yes—
237#394C23112yes—
238#394C2316yes—
239#393C2316yes—
240#393C2316yes—
241#392C2313yes—
242#392C2311yescharacteristic
243#392C2316yes—
244#392C23112yes—
245#392C23112yes—
246#392C23112yes—
247#392C23112yes—
248#392C2313yes—
249#392C2316yes—
250#392C2313yes—
251#392C2316yes—
252#392C2313yes—
253#392C2316yes—
254#392C2313yes—
255#392C2311yescharacteristic
256#392C2313yes—
257#391C2316yes—
258#391C2316yes—
259#390C23112yes—
260#390C2316yes—
261#390C2316yes—
262#390C23112yes—
263#389C23112yes—
264#389C2316yes—
265#389C2316yes—
266#389C2316yes—
267#389C2316yes—
268#389C23112yes—
269#388C23112yes—
270#388C23112yes—
271#388C23112yes—
272#388C23112yes—
273#388C23112yes—
274#388C23112yes—
275#387C23112yes—
276#387C23112yes—
277#386C23112yes—
278#386C2316yes—
279#386C23112yes—
280#386C23112yes—
281#386C2316yes—
282#386C23112yes—
283#386C23112yes—
284#386C2316yes—
285#386C23112yes—
286#386C2316yes—
287#386C23112yes—
288#386C23112yes—
289#385C2316yes—
290#385C2316yes—
291#385C23112yes—
292#385C23112yes—
293#385C23112yes—
294#385C2316yes—
295#385C23112yes—
296#385C2316yes—
297#381C2316yes—
298#381C2316yes—
299#381C2316yes—
300#381C2316yes—
301#380C23112yes—
302#380C2316yes—
303#380C2313yes—
304#380C2313yes—
305#380C23112yes—
306#380C2313yes—
307#380C2316yes—
308#380C2313yes—
309#379C2316yes—
310#379C2316yes—
311#379C2316yes—
312#379C2316yes—
313C4×C4⋊C4C23112yes—
314C4×C4⋊C4C23112yes—
315C4×C22⋊C4C2316yes—
316C4×C22⋊C4C23112yes—
317C4×C22⋊C4C23112yes—
318C4×C22⋊C4C2316yes—
319C4×C22⋊C4C2316yes—
320C4×C22⋊C4C2316yes—
321#376C2311yescharacteristic
322#376C2313yes—
323#376C2311yescharacteristic
324#376C2313yes—
325C2×#95C2313yes—
326C2×#95C2311yescharacteristic
327C25C2413yes—
328C25C2411yescharacteristic
329C25C2412yes—
330C2×#41—224no—
331C2×#41—412no—
332C2×#41—412no—
333C2×#41—412no—
334C2×#41—464no—
335C22×Q8—46no—
336C22×Q8C2412yes—
337C22×Q8C2412yes—
338C22×D4—46no—
339C22×D4—46no—
340C22×D4—46no—
341C22×D4—46no—
342C22×D4—46no—
343C22×D4—412no—
344C22×D4—412no—
345C22×D4C2414yes—
346C22×D4C2412yes—
347C22×D4C2413yes—
348C22×D4C2413yes—
349C22×D4C2413yes—
350C22×D4C2416yes—
351C22×D4C2413yes—
352C22×D4C24112yes—
353C22×D4C2413yes—
354C22×D4C2413yes—
355C22×D4C24112yes—
356C22×D4C2414yes—
357C22×D4C2412yes—
358C23×C4—212no—
359C23×C4—224no—
360C23×C4—212no—
361C23×C4—412no—
362C23×C4C2413yes—
363C23×C4C2411yescharacteristic
364C23×C4C2413yes—
365C23×C4C2413yes—
366C23×C4C2411yescharacteristic
367C23×C4C2411yescharacteristic
368C23×C4C2413yes—
369C23×C4C2413yes—
370C23×C4C2411yescharacteristic
371C23×C4C2411yescharacteristic
372C23×C4C2414yes—
373C23×C4C2413yes—
374C23×C4C2413yes—
375C23×C4C2416yes—
376C23×C4C2416yes—
377C23×C4C2412yes—
378C23×C4C2414yes—
379C23×C4C2411yescharacteristic
380#123—412no—
381#123—412no—
382#123—424no—
383C22⋊Q8—412no—
384C22⋊Q8—412no—
385#121—424no—
386#121—412no—
387#121—412no—
388#121—424no—
389#120—412no—
390#120—424no—
391#120—412no—
392C4×D4—46no—
393C4×D4—46no—
394C4×D4—46no—
395C4×D4—46no—
396C4×D4—46no—
397C4×D4—46no—
398C4×D4—46no—
399C4×D4—46no—
400C4×D4—46no—
401C4×D4—412no—
402C4×D4—46no—
403C4×D4—46no—
404C4×D4—412no—
405C4×D4—46no—
406C4×D4—424no—
407C4×D4—424no—
408#117—224no—
409#117—412no—
410#117—412no—
411#117—412no—
412C2×C4⋊C4—46no—
413C2×C4⋊C4—46no—
414C2×C4⋊C4—46no—
415C2×C4⋊C4—46no—
416C2×C4⋊C4C2416yes—
417C2×C4⋊C4C2416yes—
418C2×C4⋊C4C2416yes—
419C2×C4⋊C4C2416yes—
420C2×C4⋊C4C2413yes—
421C2×C4⋊C4C2413yes—
422C2×C4⋊C4C2413yes—
423C2×C4⋊C4C2413yes—
424C2×C4⋊C4C2416yes—
425C2×C4⋊C4C2413yes—
426C2×C4⋊C4C2413yes—
427C2×C4⋊C4C24112yes—
428C2×C4⋊C4C24112yes—
429C2×C4⋊C4C24112yes—
430C2×C4⋊C4C24112yes—
431C2×C4⋊C4C24112yes—
432C2×C4⋊C4C24112yes—
433C2×C22⋊C4—412no—
434C2×C22⋊C4—46no—
435C2×C22⋊C4—412no—
436C2×C22⋊C4—46no—
437C2×C22⋊C4C24112yes—
438C2×C22⋊C4C2416yes—
439C2×C22⋊C4C2416yes—
440C2×C22⋊C4C24112yes—
441C2×C22⋊C4C2413yes—
442C2×C22⋊C4C2413yes—
443C2×C22⋊C4C2416yes—
444C2×C22⋊C4C2416yes—
445C2×C22⋊C4C2413yes—
446C2×C22⋊C4C2413yes—
447C2×C22⋊C4C2413yes—
448C2×C22⋊C4C2413yes—
449C2×C22⋊C4C2416yes—
450C2×C22⋊C4C2413yes—
451C2×C22⋊C4C2416yes—
452C2×C22⋊C4C2413yes—
453C2×C22⋊C4C24112yes—
454C2×C22⋊C4C24112yes—
455C2×C22⋊C4C24112yes—
456C2×C22⋊C4C24112yes—
457C2×C22⋊C4C2416yes—
458C2×C22⋊C4C24112yes—
459C2×C22⋊C4C24112yes—
460C2×C22⋊C4C24112yes—
461C2×C22⋊C4C24112yes—
462C2×C22⋊C4C24112yes—
463C2×C22⋊C4C2416yes—
464C2×C22⋊C4C24112yes—
465C2×C42—212no—
466C2×C42—412no—
467C2×C42C2413yes—
468C2×C42C2413yes—
469C2×C42C24112yes—
470C2×C42C2413yes—
471C2×C42C2413yes—
472C2×C42C24112yes—
473#95C2411yescharacteristic
474#95C2416yes—
475#95C2413yes—
476#95C2413yes—
477#95C2413yes—
478#95C2416yes—
479#95C24112yes—
480#95C2416yes—
481#95C24112yes—
482#95C2416yes—
483#95C2416yes—
484#95C24112yes—
485#95C24112yes—
486#95C24112yes—
487#95C24112yes—
488#95C24112yes—
489#95C24112yes—
490#95C24112yes—
491#95C24112yes—
492C24—22no—
493C24—26no—
494C24—26no—
495C24—212no—
496C24—26no—
497C24—24no—
498C24—46no—
499C24—43no—
500C24—43no—
501C24—46no—
502C24—46no—
503C24C2513yes—
504C24C2511yescharacteristic
505C24C2514yes—
506C24C2511yescharacteristic
507C24C2513yes—
508C24C2511yescharacteristic
509#41—432no—
510#41—432no—
511#41—432no—
512#41—432no—
513C2×Q8—212no—
514C2×Q8—46no—
515C2×Q8—416no—
516C2×D4—224no—
517C2×D4—26no—
518C2×D4—26no—
519C2×D4—212no—
520C2×D4—212no—
521C2×D4—26no—
522C2×D4—26no—
523C2×D4—224no—
524C2×D4—212no—
525C2×D4—43no—
526C2×D4—43no—
527C2×D4—46no—
528C2×D4—43no—
529C2×D4—43no—
530C2×D4—43no—
531C2×D4—43no—
532C2×D4—43no—
533C2×D4—43no—
534C2×D4—46no—
535C2×D4—46no—
536C2×D4—43no—
537C2×D4—43no—
538C2×D4—46no—
539C2×D4—412no—
540C2×D4—412no—
541C2×D4—412no—
542C2×D4—412no—
543C2×D4—412no—
544C2×D4—412no—
545C2×D4—448no—
546C2×D4—448no—
547C2×D4—432no—
548C2×D4—416no—
549C22×C4—26no—
550C22×C4—26no—
551C22×C4—26no—
552C22×C4—212no—
553C22×C4—26no—
554C22×C4—212no—
555C22×C4—26no—
556C22×C4—26no—
557C22×C4—26no—
558C22×C4—26no—
559C22×C4—212no—
560C22×C4—212no—
561C22×C4—212no—
562C22×C4—212no—
563C22×C4—26no—
564C22×C4—26no—
565C22×C4—26no—
566C22×C4—26no—
567C22×C4—224no—
568C22×C4—46no—
569C22×C4—412no—
570C22×C4—43no—
571C22×C4—43no—
572C22×C4—46no—
573C22×C4—46no—
574C22×C4—46no—
575C22×C4—412no—
576C22×C4—46no—
577C22×C4—432no—
578C22×C4—448no—
579C22×C4—416no—
580C22×C4H(5,𝔽2)112yes—
581C22×C4C2513yes—
582C22×C4C2513yes—
583C22×C4C2513yes—
584C22×C4C2513yes—
585C22×C4C2511yescharacteristic
586C22×C4C2511yescharacteristic
587C22×C4C2514yes—
588C22×C4C25112yes—
589C22×C4C25112yes—
590C22×C4C2513yes—
591C22×C4C2513yes—
592C22×C4C2511yescharacteristic
593C22×C4C2511yescharacteristic
594C4⋊C4—212no—
595C4⋊C4—212no—
596C4⋊C4—46no—
597C4⋊C4—46no—
598C4⋊C4—43no—
599C4⋊C4—43no—
600C4⋊C4—43no—
601C4⋊C4—46no—
602C4⋊C4—43no—
603C4⋊C4—43no—
604C4⋊C4—43no—
605C4⋊C4—412no—
606C4⋊C4—412no—
607C4⋊C4—412no—
608C4⋊C4—412no—
609C4⋊C4—412no—
610C4⋊C4—412no—
611C22⋊C4—224no—
612C22⋊C4—212no—
613C22⋊C4—212no—
614C22⋊C4—412no—
615C22⋊C4—43no—
616C22⋊C4—43no—
617C22⋊C4—46no—
618C22⋊C4—46no—
619C22⋊C4—46no—
620C22⋊C4—46no—
621C22⋊C4—43no—
622C22⋊C4—43no—
623C22⋊C4—43no—
624C22⋊C4—43no—
625C22⋊C4—43no—
626C22⋊C4—43no—
627C22⋊C4—412no—
628C22⋊C4—412no—
629C22⋊C4—412no—
630C22⋊C4—412no—
631C22⋊C4—412no—
632C22⋊C4—412no—
633C22⋊C4—46no—
634C22⋊C4—412no—
635C22⋊C4—412no—
636C22⋊C4—412no—
637C22⋊C4—46no—
638C22⋊C4—412no—
639C42—26no—
640C42—26no—
641C42—26no—
642C42—26no—
643C42—224no—
644C42—412no—
645C23—21no—
646C23—23no—
647C23—26no—
648C23—23no—
649C23—23no—
650C23—23no—
651C23—23no—
652C23—26no—
653C23—23no—
654C23—26no—
655C23—23no—
656C23—212no—
657C23—23no—
658C23—212no—
659C23—24no—
660C23—26no—
661C23—23no—
662C23—23no—
663C23—21no—
664C23—412no—
665C23—424no—
666C23—412no—
667C23—48no—
668C23—44no—
669C23—412no—
670C23—86no—
671C23—812no—
672C23—86no—
673C23—812no—
674C23—812no—
675C23C2×H(5,𝔽2)16yes—
676C23#58512yes—
677C23#58516yes—
678C23C2611yescharacteristic
679Q8—48no—
680Q8—48no—
681D4—412no—
682D4—412no—
683D4—412no—
684D4—424no—
685D4—412no—
686D4—412no—
687D4—412no—
688D4—48no—
689D4—416no—
690D4—416no—
691D4—48no—
692D4—824no—
693D4—824no—
694C2×C4—23no—
695C2×C4—23no—
696C2×C4—23no—
697C2×C4—23no—
698C2×C4—212no—
699C2×C4—212no—
700C2×C4—23no—
701C2×C4—26no—
702C2×C4—26no—
703C2×C4—23no—
704C2×C4—23no—
705C2×C4—23no—
706C2×C4—212no—
707C2×C4—212no—
708C2×C4—212no—
709C2×C4—23no—
710C2×C4—23no—
711C2×C4—212no—
712C2×C4—212no—
713C2×C4—26no—
714C2×C4—26no—
715C2×C4—23no—
716C2×C4—23no—
717C2×C4—412no—
718C2×C4—412no—
719C2×C4—48no—
720C2×C4—416no—
721C2×C4—412no—
722C2×C4—44no—
723C2×C4—412no—
724C2×C4—412no—
725C2×C4—412no—
726C2×C4—412no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—416no—
732C2×C4—812no—
733C2×C4—812no—
734C2×C4#560116yes—
735C2×C4C2×H(5,𝔽2)16yes—
736C2×C4C2×H(5,𝔽2)16yes—
737C22—26no—
738C22—26no—
739C22—26no—
740C22—212no—
741C22—26no—
742C22—43no—
743C22—46no—
744C22—43no—
745C22—41no—
746C22—43no—
747C22—43no—
748C22—46no—
749C22—43no—
750C22—46no—
751C22—412no—
752C22—412no—
753C22—43no—
754C22—43no—
755C22—44no—
756C22—41no—
757C22—43no—
758C22—824no—
759C22—88no—
760C22—816no—
761C22C2×#56014yes—
762C22C22×H(5,𝔽2)13yes—
763C22C2×#58511yescharacteristic
764C22C2×#58513yes—
765C4—43no—
766C4—43no—
767C4—43no—
768C4—43no—
769C4—412no—
770C4—412no—
771C4—43no—
772C4—43no—
773C4—41no—
774C4—41no—
775C4—44no—
776C4C2×#56014yes—
777C4C2×#56014yes—
778C2—24no—
779C2—46no—
780C2—42no—
781C2—83no—
782C2—81no—
783C2—84no—
784C2C22×#56011yescharacteristic
785C2#6272913yes—
786C2#6272913yes—
subgroupG/H
centerC22×C4C25
commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53137C2semidirect
2. #53103C2semidirect
3. #53098C2semidirect
4. #53078C2semidirect
5. #52993C2semidirect
6. #52988C2semidirect
7. #52742C2semidirect
8. #52741C2semidirect
9. #52398C2semidirect
10. #52397C2semidirect
11. #52299C2semidirect
12. #52292C2semidirect
13. #36677C2semidirect
14. #36676C2semidirect
15. #34809C2semidirect
16. #34737C2semidirect
17. #34736C2semidirect
18. #34639C2semidirect
19. C2×#2397C2semidirect
23. C22×C4×D4C22semidirect
24. C22×#117C22semidirect
25. #2842C22semidirect
26. #2841C22semidirect
27. #2838C22semidirect
28. #2837C22semidirect
29. #2834C22semidirect
30. #2829C22semidirect
31. #2828C22semidirect
32. #2827C22semidirect
33. #2826C22semidirect
34. #2826C22semidirect
35. #2825C22semidirect
36. #2825C22semidirect
37. #2824C22semidirect
38. #2815C22semidirect
39. #2813C22semidirect
40. #2812C22semidirect
41. #2807C22semidirect
42. #2801C22semidirect
43. #2796C22semidirect
44. #2780C22semidirect
45. #2778C22semidirect
46. #2760C22semidirect
47. #2752C22semidirect
48. #2746C22semidirect
49. #2742C22semidirect
50. #2735C22semidirect
51. #2703C22semidirect
52. #2693C22semidirect
53. #2688C22semidirect
54. #2678C22semidirect
55. #2675C22semidirect
56. #2668C22semidirect
57. #2645C22semidirect
58. #2645C22semidirect
59. #2644C22semidirect
60. #2644C22semidirect
61. #2643C22semidirect
62. #2643C22semidirect
63. #2487C22semidirect
64. #2487C22semidirect
65. #2486C22semidirect
66. #2486C22semidirect
67. #2485C22semidirect
68. #2485C22semidirect
69. #2484C22semidirect
70. #2483C22semidirect
72. #2417C22semidirect
73. #2417C22semidirect
74. #2416C22semidirect
75. #2416C22semidirect
76. #2415C22semidirect
77. #2415C22semidirect
78. #2414C22semidirect
79. #2414C22semidirect
80. #2413C22semidirect
81. #2412C22semidirect
82. #2411C22semidirect
83. #2410C22semidirect
84. #2409C22semidirect
85. #2409C22semidirect
86. #2408C22semidirect
87. #2408C22semidirect
88. #2407C22semidirect
89. #2407C22semidirect
95. #2401C22semidirect
96. #2401C22semidirect
101. #2397C22semidirect
102. #2397C22semidirect
103. #2397C22semidirect
104. #2397C22semidirect
105. #2395C22semidirect
106. #2395C22semidirect
108. C2×#399C22semidirect
109. #2392C22semidirect
110. #2392C22semidirect
111. #2388C22semidirect
112. #2388C22semidirect
114. C2×#392C22semidirect
115. C4×#123C22semidirect
116. C4×#123C22semidirect
117. C4×#121C22semidirect
118. C4×#121C22semidirect
119. C4×#120C22semidirect
120. C4×#120C22semidirect
122. #2296C22semidirect
124. #2280C22semidirect
125. C2×#376C22semidirect

Maximal subgroups

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

subgroupindex
#531372
#531032
#530982
#530782
#529932
#529882
#527422
#527412
#523982
#523972
#522992
#522922
#366772
#366762
#348092
#347372
#347362
#346392
C2×#23972