Finite Group Databasebeta

← #158744

Subgroups — #158744

Order 512.

2308 conjugacy classes of subgroups.

The subgroup lattice has 991 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4⋊#95C211yesmaximal, characteristic
2C2×#1434C211yesmaximal, characteristic
3#7557C211yesmaximal, characteristic
4#7557C211yesmaximal, characteristic
5#7557C211yesmaximal, characteristic
6#7557C211yesmaximal, characteristic
7#7556C212yesmaximal
8#7556C212yesmaximal
9#7556C212yesmaximal
10#7556C212yesmaximal
11#7554C211yesmaximal, characteristic
12C23×C4⋊C4C2211yescharacteristic
13C23×C4⋊C4C2211yescharacteristic
14C23×C42C2211yescharacteristic
15C22×#95C2211yescharacteristic
16C22×#95C2211yescharacteristic
17C22×#95C2211yescharacteristic
18C22×#95C2211yescharacteristic
19C22×#95C2211yescharacteristic
20C22×#95C2211yescharacteristic
21C22×#95C2212yes—
22C22×#95C2212yes—
23C22×#95C2212yes—
24C22×#95C2212yes—
25C22×#95C2211yescharacteristic
26C22×#95C2212yes—
27C22×#95C2212yes—
28C22×#95C2212yes—
29C22×#95C2212yes—
30C22×#95C2211yescharacteristic
31C22×#95C2212yes—
32C22×#95C2212yes—
33C22×#95C2212yes—
34C22×#95C2212yes—
35C4⋊#95—24no—
36#1434—24no—
37C24×C4C2312yes—
38C24×C4C2311yescharacteristic
39C24×C4C2311yescharacteristic
40C24×C4C2312yes—
41C24×C4C2311yescharacteristic
42C24×C4C2311yescharacteristic
43C24×C4C2312yes—
44C24×C4C2312yes—
45C24×C4C2311yescharacteristic
46C24×C4C2311yescharacteristic
47C24×C4C2311yescharacteristic
48C22×C4⋊C4—22no—
49C22×C4⋊C4—22no—
50C22×C4⋊C4—24no—
51C22×C4⋊C4—22no—
52C22×C4⋊C4—22no—
53C22×C4⋊C4—22no—
54C22×C4⋊C4—42no—
55C22×C4⋊C4—42no—
56C22×C4⋊C4—42no—
57C22×C4⋊C4Q814yes—
58C22×C42—24no—
59C22×C42—22no—
60C22×C42—22no—
61C22×C42—42no—
62C22×C42D414yes—
63C2×#95—22no—
64C2×#95—22no—
65C2×#95—22no—
66C2×#95—22no—
67C2×#95—22no—
68C2×#95—22no—
69C2×#95—22no—
70C2×#95—22no—
71C2×#95—22no—
72C2×#95—24no—
73C2×#95—24no—
74C2×#95—24no—
75C2×#95—24no—
76C2×#95—24no—
77C2×#95—24no—
78C2×#95—24no—
79C2×#95—24no—
80C2×#95—24no—
81C2×#95—24no—
82C2×#95—24no—
83C2×#95—24no—
84C2×#95—24no—
85C2×#95—24no—
86C2×#95—24no—
87C2×#95—22no—
88C2×#95—22no—
89C2×#95—22no—
90C2×#95—22no—
91C2×#95—22no—
92C2×#95—22no—
93C2×#95—22no—
94C2×#95—22no—
95C2×#95—22no—
96C2×#95—22no—
97C2×#95—42no—
98C2×#95—42no—
99C2×#95—42no—
100C2×#95—42no—
101C2×#95—42no—
102C2×#95—42no—
103C2×#95—42no—
104C2×#95—42no—
105C2×#95—42no—
106C2×#95—42no—
107C2×#95—42no—
108C2×#95—42no—
109C2×#95—42no—
110C2×#95—42no—
111C2×#95—42no—
112C2×#95—42no—
113C2×#95—42no—
114C2×#95—42no—
115C2×#95—42no—
116C2×#95—42no—
117C2×#95—42no—
118C2×#95—42no—
119C2×#95—42no—
120C2×#95Q814yes—
121C25C2411yescharacteristic
122C23×C4—22no—
123C23×C4—22no—
124C23×C4—22no—
125C23×C4—22no—
126C23×C4—21no—
127C23×C4—21no—
128C23×C4—22no—
129C23×C4—22no—
130C23×C4—21no—
131C23×C4—21no—
132C23×C4—21no—
133C23×C4—21no—
134C23×C4—22no—
135C23×C4—21no—
136C23×C4—21no—
137C23×C4—22no—
138C23×C4—21no—
139C23×C4—22no—
140C23×C4—22no—
141C23×C4—22no—
142C23×C4—21no—
143C23×C4—22no—
144C23×C4—22no—
145C23×C4—21no—
146C23×C4—21no—
147C23×C4—21no—
148C23×C4—21no—
149C23×C4—22no—
150C23×C4—22no—
151C23×C4—22no—
152C23×C4—22no—
153C23×C4—21no—
154C23×C4—21no—
155C23×C4—21no—
156C23×C4—21no—
157C23×C4—22no—
158C23×C4—22no—
159C23×C4—22no—
160C23×C4—22no—
161C23×C4—22no—
162C23×C4—22no—
163C23×C4—22no—
164C23×C4—22no—
165C23×C4—22no—
166C23×C4—22no—
167C23×C4—22no—
168C23×C4—22no—
169C23×C4—22no—
170C23×C4—22no—
171C23×C4—22no—
172C23×C4—22no—
173C23×C4—22no—
174C23×C4—22no—
175C23×C4—22no—
176C23×C4—21no—
177C23×C4—21no—
178C23×C4—22no—
179C23×C4—22no—
180C23×C4—21no—
181C23×C4—21no—
182C23×C4—22no—
183C23×C4—22no—
184C23×C4—22no—
185C23×C4—22no—
186C23×C4—22no—
187C23×C4—22no—
188C23×C4—21no—
189C23×C4—21no—
190C23×C4—21no—
191C23×C4—21no—
192C23×C4—22no—
193C23×C4—22no—
194C23×C4—22no—
195C23×C4—22no—
196C23×C4—22no—
197C23×C4—22no—
198C23×C4—22no—
199C23×C4—22no—
200C23×C4—22no—
201C23×C4—22no—
202C23×C4—22no—
203C23×C4—22no—
204C23×C4—22no—
205C23×C4—22no—
206C23×C4—22no—
207C23×C4—22no—
208C23×C4—22no—
209C23×C4—22no—
210C23×C4—22no—
211C23×C4—22no—
212C23×C4—22no—
213C23×C4—22no—
214C23×C4—22no—
215C23×C4—22no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—21no—
219C23×C4—21no—
220C23×C4—22no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—21no—
228C23×C4—21no—
229C23×C4—21no—
230C23×C4—21no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—21no—
236C23×C4—21no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4C2×D412yes—
240C23×C4C2×D412yes—
241C23×C4C2×D412yes—
242C23×C4C2×Q814yes—
243C23×C4C2×Q812yes—
244C23×C4C2×Q812yes—
245C23×C4C2×Q812yes—
246C23×C4C2×Q812yes—
247C23×C4#4114yes—
248C23×C4#4112yes—
249C23×C4#4112yes—
250C23×C4#4114yes—
251C23×C4#4114yes—
252C23×C4#4112yes—
253C23×C4#4114yes—
254C23×C4#4112yes—
255C23×C4#4112yes—
256C23×C4#4112yes—
257C23×C4#4112yes—
258C23×C4#4112yes—
259C2×C4⋊C4—28no—
260C2×C4⋊C4—28no—
261C2×C4⋊C4—48no—
262C2×C4⋊C4—48no—
263C2×C4⋊C4—48no—
264C2×C4⋊C4—44no—
265C2×C4⋊C4—44no—
266C2×C4⋊C4—44no—
267C2×C4⋊C4—48no—
268C2×C4⋊C4—44no—
269C2×C42—28no—
270C2×C42—28no—
271C2×C42—44no—
272C2×C42—48no—
273C2×C42—48no—
274#95—28no—
275#95—28no—
276#95—48no—
277#95—48no—
278#95—48no—
279#95—48no—
280#95—44no—
281#95—48no—
282#95—48no—
283#95—48no—
284#95—48no—
285#95—48no—
286#95—48no—
287#95—48no—
288#95—48no—
289#95—44no—
290#95—44no—
291#95—44no—
292#95—44no—
293#95—44no—
294C24C22×D411yescharacteristic
295C24C22×Q811yescharacteristic
296C24C22×Q811yescharacteristic
297C24C2×#4111yescharacteristic
298C24C2×#4111yescharacteristic
299C24C2×#4111yescharacteristic
300C24C2×#4111yescharacteristic
301C24C2×#4112yes—
302C24C2×#4111yescharacteristic
303C24C2×#4111yescharacteristic
304C24C2×#4112yes—
305C24C2×#4111yescharacteristic
306C24C2×#4111yescharacteristic
307C24C2×#4112yes—
308C24C2×#4112yes—
309C24H(5,𝔽2)12yes—
310C24H(5,𝔽2)11yescharacteristic
311C24H(5,𝔽2)12yes—
312C24H(5,𝔽2)12yes—
313C24H(5,𝔽2)11yescharacteristic
314C24H(5,𝔽2)11yescharacteristic
315C242−1+412yes—
316C242−1+411yescharacteristic
317C22×C4—22no—
318C22×C4—22no—
319C22×C4—24no—
320C22×C4—24no—
321C22×C4—22no—
322C22×C4—22no—
323C22×C4—24no—
324C22×C4—24no—
325C22×C4—24no—
326C22×C4—24no—
327C22×C4—24no—
328C22×C4—24no—
329C22×C4—24no—
330C22×C4—24no—
331C22×C4—24no—
332C22×C4—24no—
333C22×C4—22no—
334C22×C4—22no—
335C22×C4—22no—
336C22×C4—22no—
337C22×C4—22no—
338C22×C4—22no—
339C22×C4—22no—
340C22×C4—22no—
341C22×C4—22no—
342C22×C4—22no—
343C22×C4—22no—
344C22×C4—22no—
345C22×C4—22no—
346C22×C4—22no—
347C22×C4—22no—
348C22×C4—22no—
349C22×C4—24no—
350C22×C4—24no—
351C22×C4—24no—
352C22×C4—24no—
353C22×C4—24no—
354C22×C4—24no—
355C22×C4—24no—
356C22×C4—24no—
357C22×C4—24no—
358C22×C4—24no—
359C22×C4—22no—
360C22×C4—22no—
361C22×C4—24no—
362C22×C4—22no—
363C22×C4—22no—
364C22×C4—24no—
365C22×C4—24no—
366C22×C4—24no—
367C22×C4—24no—
368C22×C4—24no—
369C22×C4—24no—
370C22×C4—24no—
371C22×C4—24no—
372C22×C4—24no—
373C22×C4—24no—
374C22×C4—24no—
375C22×C4—24no—
376C22×C4—24no—
377C22×C4—24no—
378C22×C4—24no—
379C22×C4—24no—
380C22×C4—24no—
381C22×C4—24no—
382C22×C4—24no—
383C22×C4—24no—
384C22×C4—24no—
385C22×C4—24no—
386C22×C4—24no—
387C22×C4—22no—
388C22×C4—22no—
389C22×C4—24no—
390C22×C4—24no—
391C22×C4—24no—
392C22×C4—22no—
393C22×C4—22no—
394C22×C4—24no—
395C22×C4—24no—
396C22×C4—24no—
397C22×C4—22no—
398C22×C4—22no—
399C22×C4—22no—
400C22×C4—22no—
401C22×C4—24no—
402C22×C4—24no—
403C22×C4—24no—
404C22×C4—24no—
405C22×C4—24no—
406C22×C4—24no—
407C22×C4—42no—
408C22×C4—42no—
409C22×C4—42no—
410C22×C4—42no—
411C22×C4—41no—
412C22×C4—41no—
413C22×C4—42no—
414C22×C4—42no—
415C22×C4—41no—
416C22×C4—41no—
417C22×C4—42no—
418C22×C4—42no—
419C22×C4—42no—
420C22×C4—42no—
421C22×C4—42no—
422C22×C4—42no—
423C22×C4—42no—
424C22×C4—42no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—42no—
428C22×C4—42no—
429C22×C4—41no—
430C22×C4—41no—
431C22×C4—41no—
432C22×C4—41no—
433C22×C4—41no—
434C22×C4—41no—
435C22×C4—42no—
436C22×C4—42no—
437C22×C4—42no—
438C22×C4—42no—
439C22×C4—42no—
440C22×C4—42no—
441C22×C4—42no—
442C22×C4—42no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—42no—
446C22×C4—42no—
447C22×C4—42no—
448C22×C4—42no—
449C22×C4—41no—
450C22×C4—42no—
451C22×C4—42no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—42no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—42no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—41no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—41no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—41no—
540C22×C4—41no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—42no—
544C22×C4—41no—
545C22×C4—41no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—42no—
549C22×C4—42no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—42no—
553C22×C4—42no—
554C22×C4—42no—
555C22×C4—42no—
556C22×C4—42no—
557C22×C4—42no—
558C22×C4—42no—
559C22×C4—42no—
560C22×C4—42no—
561C22×C4—42no—
562C22×C4—42no—
563C22×C4—42no—
564C22×C4—42no—
565C22×C4—42no—
566C22×C4—42no—
567C22×C4—42no—
568C22×C4—42no—
569C22×C4—42no—
570C22×C4—42no—
571C22×C4—41no—
572C22×C4—41no—
573C22×C4—41no—
574C22×C4—41no—
575C22×C4—42no—
576C22×C4—42no—
577C22×C4—42no—
578C22×C4—42no—
579C22×C4—42no—
580C22×C4—42no—
581C22×C4—42no—
582C22×C4—42no—
583C22×C4—42no—
584C22×C4—42no—
585C22×C4—42no—
586C22×C4—42no—
587C22×C4—42no—
588C22×C4—42no—
589C22×C4—42no—
590C22×C4—42no—
591C22×C4—42no—
592C22×C4—42no—
593C22×C4—42no—
594C22×C4—42no—
595C22×C4—42no—
596C22×C4—42no—
597C22×C4—42no—
598C22×C4—42no—
599C22×C4—42no—
600C22×C4—42no—
601C22×C4—42no—
602C22×C4—42no—
603C22×C4—42no—
604C22×C4—42no—
605C22×C4—42no—
606C22×C4—42no—
607C22×C4—42no—
608C22×C4—42no—
609C22×C4C22⋊Q814yes—
610C22×C4C22⋊Q814yes—
611C22×C4#12314yes—
612C22×C4#12314yes—
613C22×C4#12414yes—
614C22×C4#12514yes—
615C22×C4#12514yes—
616C22×C4#12614yes—
617C22×C4#12614yes—
618C4⋊C4—416no—
619C4⋊C4—416no—
620C42—416no—
621C23C2×C22⋊Q811yescharacteristic
622C23C2×C22⋊Q811yescharacteristic
623C23C2×#12311yescharacteristic
624C23C2×#12311yescharacteristic
625C23#52511yescharacteristic
626C23#52511yescharacteristic
627C23C2×#12411yescharacteristic
628C23C2×#12511yescharacteristic
629C23C2×#12511yescharacteristic
630C23C2×#12611yescharacteristic
631C23C2×#12611yescharacteristic
632C23#52912yes—
633C23#52912yes—
634C23#52912yes—
635C23#52912yes—
636C23#52911yescharacteristic
637C23#52912yes—
638C23#52912yes—
639C23#52911yescharacteristic
640C23#53211yescharacteristic
641C23#53211yescharacteristic
642C23#53312yes—
643C23#53311yescharacteristic
644C23#53312yes—
645C23#53311yescharacteristic
646C23#53411yescharacteristic
647C23#53511yescharacteristic
648C23#53511yescharacteristic
649C23#53511yescharacteristic
650C23#53611yescharacteristic
651C23#53711yescharacteristic
652C23#53812yes—
653C23#53812yes—
654C23#53812yes—
655C23#53812yes—
656C23#53812yes—
657C23#53912yes—
658C23#53912yes—
659C23#53912yes—
660C23#54011yescharacteristic
661C23#54011yescharacteristic
662C23#54012yes—
663C23#54012yes—
664C23#54211yescharacteristic
665C23#54211yescharacteristic
666C23#54212yes—
667C23#54212yes—
668C23#54212yes—
669C23#54212yes—
670C23#54312yes—
671C23#54412yes—
672C23#55112yes—
673C23#55112yes—
674C23#55112yes—
675C23#55112yes—
676C23#55112yes—
677C23#55112yes—
678C23#55112yes—
679C23#55112yes—
680C23#55211yescharacteristic
681C23#55211yescharacteristic
682C23#55212yes—
683C23#55212yes—
684C23#55212yes—
685C23#55212yes—
686C23#55311yescharacteristic
687C23#55311yescharacteristic
688C23#55312yes—
689C23#55312yes—
690C23#55312yes—
691C23#55312yes—
692C23#55312yes—
693C23#55312yes—
694C23#55312yes—
695C23#55312yes—
696C23#55411yescharacteristic
697C23#55411yescharacteristic
698C23#55412yes—
699C23#55412yes—
700C23#55412yes—
701C23#55411yescharacteristic
702C23#55411yescharacteristic
703C23#55511yescharacteristic
704C23#55511yescharacteristic
705C23#55512yes—
706C23#55512yes—
707C23#55612yes—
708C23#55612yes—
709C23#55712yes—
710C23#55711yescharacteristic
711C23#55711yescharacteristic
712C23Q8211yescharacteristic
713C23#55911yescharacteristic
714C23#55911yescharacteristic
715C23#55911yescharacteristic
716C23#56012yes—
717C23#56012yes—
718C23#56212yes—
719C23#56312yes—
720C2×C4—28no—
721C2×C4—28no—
722C2×C4—24no—
723C2×C4—24no—
724C2×C4—24no—
725C2×C4—24no—
726C2×C4—24no—
727C2×C4—24no—
728C2×C4—28no—
729C2×C4—28no—
730C2×C4—24no—
731C2×C4—24no—
732C2×C4—24no—
733C2×C4—24no—
734C2×C4—24no—
735C2×C4—24no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—42no—
739C2×C4—42no—
740C2×C4—42no—
741C2×C4—42no—
742C2×C4—44no—
743C2×C4—42no—
744C2×C4—44no—
745C2×C4—44no—
746C2×C4—44no—
747C2×C4—42no—
748C2×C4—42no—
749C2×C4—44no—
750C2×C4—44no—
751C2×C4—42no—
752C2×C4—42no—
753C2×C4—42no—
754C2×C4—42no—
755C2×C4—42no—
756C2×C4—42no—
757C2×C4—44no—
758C2×C4—44no—
759C2×C4—44no—
760C2×C4—44no—
761C2×C4—44no—
762C2×C4—44no—
763C2×C4—44no—
764C2×C4—44no—
765C2×C4—42no—
766C2×C4—44no—
767C2×C4—42no—
768C2×C4—44no—
769C2×C4—42no—
770C2×C4—42no—
771C2×C4—44no—
772C2×C4—42no—
773C2×C4—42no—
774C2×C4—44no—
775C2×C4—44no—
776C2×C4—42no—
777C2×C4—44no—
778C2×C4—44no—
779C2×C4—44no—
780C2×C4—44no—
781C2×C4—44no—
782C2×C4—44no—
783C2×C4—44no—
784C2×C4—44no—
785C2×C4—44no—
786C2×C4—44no—
787C2×C4—44no—
788C2×C4—44no—
789C2×C4—44no—
790C2×C4—44no—
791C2×C4—44no—
792C2×C4—44no—
793C2×C4—44no—
794C2×C4—44no—
795C2×C4—44no—
796C2×C4—44no—
797C2×C4—44no—
798C2×C4—44no—
799C2×C4—44no—
800C2×C4—82no—
801C2×C4—82no—
802C2×C4—81no—
803C2×C4—81no—
804C2×C4—81no—
805C2×C4—82no—
806C2×C4—82no—
807C2×C4—81no—
808C2×C4—81no—
809C2×C4—81no—
810C2×C4—82no—
811C2×C4—81no—
812C2×C4—82no—
813C2×C4—82no—
814C2×C4—81no—
815C2×C4—81no—
816C2×C4—81no—
817C2×C4—82no—
818C2×C4—81no—
819C2×C4—82no—
820C2×C4—81no—
821C2×C4—82no—
822C2×C4—82no—
823C2×C4—82no—
824C2×C4—82no—
825C2×C4—81no—
826C2×C4—82no—
827C2×C4—82no—
828C2×C4—82no—
829C2×C4—82no—
830C2×C4—81no—
831C2×C4—81no—
832C2×C4—82no—
833C2×C4—82no—
834C2×C4—82no—
835C2×C4—82no—
836C2×C4—82no—
837C2×C4—82no—
838C2×C4—82no—
839C2×C4—82no—
840C2×C4—82no—
841C2×C4—82no—
842C2×C4—82no—
843C2×C4—82no—
844C2×C4—82no—
845C2×C4—82no—
846C2×C4—82no—
847C2×C4—82no—
848C2×C4—82no—
849C2×C4—82no—
850C2×C4—82no—
851C2×C4—82no—
852C2×C4—82no—
853C2×C4—82no—
854C2×C4—82no—
855C2×C4—81no—
856C2×C4#40018yes—
857C22C2×#40011yescharacteristic
858C22#239511yescharacteristic
859C22#239611yescharacteristic
860C22#248211yescharacteristic
861C22#248311yescharacteristic
862C22#248711yescharacteristic
863C22#249412yes—
864C22#249512yes—
865C22#249811yescharacteristic
866C22#249911yescharacteristic
867C22#250011yescharacteristic
868C22#250411yescharacteristic
869C22#250711yescharacteristic
870C22#250711yescharacteristic
871C22#250811yescharacteristic
872C22#250812yes—
873C22#250811yescharacteristic
874C22#250912yes—
875C22#251012yes—
876C22#251012yes—
877C22#251111yescharacteristic
878C22#251111yescharacteristic
879C22#251311yescharacteristic
880C22#251311yescharacteristic
881C22#251512yes—
882C22#251812yes—
883C22#251812yes—
884C22#252212yes—
885C22#252212yes—
886C22#252612yes—
887C22#252712yes—
888C22#252912yes—
889C22#253112yes—
890C22#253212yes—
891C22#256211yescharacteristic
892C22#256311yescharacteristic
893C22#256411yescharacteristic
894C22#256511yescharacteristic
895C22#256611yescharacteristic
896C22#256912yes—
897C22#256912yes—
898C22#257412yes—
899C22#257512yes—
900C22#257612yes—
901C22#257812yes—
902C22#258011yescharacteristic
903C22#258211yescharacteristic
904C22#258512yes—
905C22#258612yes—
906C22#258712yes—
907C22#258812yes—
908C22#259012yes—
909C22#259012yes—
910C22#259111yescharacteristic
911C22#259612yes—
912C22#259712yes—
913C22#259911yescharacteristic
914C22#260311yescharacteristic
915C22#260512yes—
916C22#261011yescharacteristic
917C22#261212yes—
918C22#262311yescharacteristic
919C22#262411yescharacteristic
920C22#262611yescharacteristic
921C22#262811yescharacteristic
922C22#263511yescharacteristic
923C22#263611yescharacteristic
924C22#264011yescharacteristic
925C22#266111yescharacteristic
926C22#266211yescharacteristic
927C22#273712yes—
928C22#273812yes—
929C22#274012yes—
930C22#274312yes—
931C22#274512yes—
932C22#274812yes—
933C22#274912yes—
934C22#275112yes—
935C22#275612yes—
936C22#275712yes—
937C22#276512yes—
938C22#277412yes—
939C22#277712yes—
940C22#277912yes—
941C22#278412yes—
942C22#279012yes—
943C22#279012yes—
944C22#279512yes—
945C22#279512yes—
946C22#279712yes—
947C22#279912yes—
948C22#280012yes—
949C22#280312yes—
950C22#280612yes—
951C22#281411yescharacteristic
952C22#281811yescharacteristic
953C22#285511yescharacteristic
954C22#285511yescharacteristic
955C22#286111yescharacteristic
956C4—28no—
957C4—44no—
958C4—44no—
959C4—84no—
960C4—84no—
961C4—84no—
962C4—82no—
963C4—84no—
964C4—82no—
965C4—82no—
966C4—82no—
967C2#1501511yescharacteristic
968C2#1502511yescharacteristic
969C2#1504711yescharacteristic
970C2#1506311yescharacteristic
971C2#1510511yescharacteristic
972C2#1511911yescharacteristic
973C2#1520011yescharacteristic
974C2#1521211yescharacteristic
975C2#1523911yescharacteristic
976C2#1612812yes—
977C2#1612912yes—
978C2#1616012yes—
979C2#1616612yes—
980C2#1616812yes—
981C2#1616912yes—
982C2#1621812yes—
983C2#1621912yes—
984C2#1669311yescharacteristic
985C2#1669811yescharacteristic
986C2#1689811yescharacteristic
987C2#1700611yescharacteristic
988C2#1702611yescharacteristic
989C2#1706611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, prime radical, cosocleC25C24
LCSG ▷ C25 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C25 ▷ C1

Maximal subgroups

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

subgroupindex
C2×C4⋊#952
C2×#14342
#75572
#75562
#75542