Finite Group Databasebeta

← #158358

Subgroups — #158358

Order 512.

2480 conjugacy classes of subgroups.

The subgroup lattice has 941 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#400C211yesmaximal, characteristic
2C2×#1445C211yesmaximal, characteristic
3C2×#1445C211yesmaximal, characteristic
4C2×C4⋊#95C211yesmaximal, characteristic
5#7557C212yesmaximal
6#7557C211yesmaximal, characteristic
7#7556C212yesmaximal
8#7556C212yesmaximal
9#7556C212yesmaximal
10#7554C211yesmaximal, characteristic
11#7554C211yesmaximal, characteristic
12C23×C4⋊C4C2211yescharacteristic
13C23×C4⋊C4C2211yescharacteristic
14C23×C4⋊C4C2211yescharacteristic
15C23×C42C2211yescharacteristic
16C2×#400—24no—
17C2×#400—24no—
18C2×#400—24no—
19C22×#95C2211yescharacteristic
20C22×#95C2211yescharacteristic
21C22×#95C2212yes—
22C22×#95C2211yescharacteristic
23C22×#95C2211yescharacteristic
24C22×#95C2211yescharacteristic
25C22×#95C2212yes—
26C22×#95C2212yes—
27C22×#95C2212yes—
28C22×#95C2212yes—
29C22×#95C2212yes—
30C22×#95C2212yes—
31C22×#95C2212yes—
32C22×#95C2211yescharacteristic
33C22×#95C2211yescharacteristic
34C22×#95C2212yes—
35C22×#95C2212yes—
36C22×#95C2212yes—
37C22×#95C2212yes—
38#1445—24no—
39#1445—24no—
40C4⋊#95—24no—
41C24×C4C2311yescharacteristic
42C24×C4C2311yescharacteristic
43C24×C4C2311yescharacteristic
44C24×C4C2311yescharacteristic
45C24×C4C2311yescharacteristic
46C24×C4C2312yes—
47C24×C4C2312yes—
48C24×C4C2312yes—
49C24×C4C2311yescharacteristic
50C24×C4C2312yes—
51C24×C4C2311yescharacteristic
52C22×C4⋊C4—22no—
53C22×C4⋊C4—22no—
54C22×C4⋊C4—22no—
55C22×C4⋊C4—22no—
56C22×C4⋊C4—22no—
57C22×C4⋊C4—22no—
58C22×C4⋊C4—22no—
59C22×C4⋊C4—22no—
60C22×C4⋊C4—22no—
61C22×C4⋊C4—22no—
62C22×C4⋊C4—22no—
63C22×C4⋊C4—24no—
64C22×C4⋊C4—24no—
65C22×C4⋊C4—42no—
66C22×C4⋊C4—42no—
67C22×C4⋊C4D414yes—
68C22×C4⋊C4Q814yes—
69C22×C42—22no—
70C22×C42—24no—
71C22×C42—22no—
72C22×C42—22no—
73C22×C42—42no—
74#400—232no—
75C2×#95—22no—
76C2×#95—22no—
77C2×#95—22no—
78C2×#95—22no—
79C2×#95—22no—
80C2×#95—22no—
81C2×#95—22no—
82C2×#95—22no—
83C2×#95—22no—
84C2×#95—22no—
85C2×#95—22no—
86C2×#95—22no—
87C2×#95—22no—
88C2×#95—24no—
89C2×#95—24no—
90C2×#95—24no—
91C2×#95—24no—
92C2×#95—24no—
93C2×#95—24no—
94C2×#95—22no—
95C2×#95—22no—
96C2×#95—24no—
97C2×#95—24no—
98C2×#95—24no—
99C2×#95—24no—
100C2×#95—24no—
101C2×#95—24no—
102C2×#95—24no—
103C2×#95—24no—
104C2×#95—24no—
105C2×#95—24no—
106C2×#95—24no—
107C2×#95—24no—
108C2×#95—22no—
109C2×#95—22no—
110C2×#95—22no—
111C2×#95—22no—
112C2×#95—24no—
113C2×#95—24no—
114C2×#95—24no—
115C2×#95—42no—
116C2×#95—42no—
117C2×#95—42no—
118C2×#95—42no—
119C2×#95—42no—
120C2×#95—42no—
121C2×#95—42no—
122C2×#95—42no—
123C2×#95—42no—
124C2×#95—42no—
125C2×#95—42no—
126C2×#95—42no—
127C2×#95—42no—
128C2×#95—42no—
129C2×#95—42no—
130C2×#95D414yes—
131C2×#95D414yes—
132C25C2411yescharacteristic
133C23×C4—22no—
134C23×C4—22no—
135C23×C4—22no—
136C23×C4—22no—
137C23×C4—21no—
138C23×C4—21no—
139C23×C4—22no—
140C23×C4—22no—
141C23×C4—22no—
142C23×C4—22no—
143C23×C4—22no—
144C23×C4—22no—
145C23×C4—22no—
146C23×C4—22no—
147C23×C4—22no—
148C23×C4—22no—
149C23×C4—22no—
150C23×C4—22no—
151C23×C4—22no—
152C23×C4—22no—
153C23×C4—22no—
154C23×C4—22no—
155C23×C4—22no—
156C23×C4—21no—
157C23×C4—21no—
158C23×C4—21no—
159C23×C4—21no—
160C23×C4—21no—
161C23×C4—21no—
162C23×C4—22no—
163C23×C4—22no—
164C23×C4—22no—
165C23×C4—21no—
166C23×C4—21no—
167C23×C4—21no—
168C23×C4—21no—
169C23×C4—22no—
170C23×C4—22no—
171C23×C4—22no—
172C23×C4—22no—
173C23×C4—22no—
174C23×C4—22no—
175C23×C4—22no—
176C23×C4—22no—
177C23×C4—22no—
178C23×C4—22no—
179C23×C4—22no—
180C23×C4—22no—
181C23×C4—22no—
182C23×C4—22no—
183C23×C4—22no—
184C23×C4—22no—
185C23×C4—22no—
186C23×C4—22no—
187C23×C4—22no—
188C23×C4—22no—
189C23×C4—22no—
190C23×C4—22no—
191C23×C4—22no—
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—22no—
219C23×C4—22no—
220C23×C4—22no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4C2×D412yes—
239C23×C4C2×D412yes—
240C23×C4C2×D412yes—
241C23×C4C2×D412yes—
242C23×C4C2×D412yes—
243C23×C4C2×D412yes—
244C23×C4C2×D412yes—
245C23×C4C2×D412yes—
246C23×C4C2×D412yes—
247C23×C4C2×Q814yes—
248C23×C4C2×Q812yes—
249C23×C4#4114yes—
250C23×C4#4114yes—
251C23×C4#4114yes—
252C23×C4#4114yes—
253C23×C4#4114yes—
254C23×C4#4114yes—
255C23×C4#4112yes—
256C23×C4#4112yes—
257C23×C4#4112yes—
258C2×C4⋊C4—28no—
259C2×C4⋊C4—28no—
260C2×C4⋊C4—28no—
261C2×C4⋊C4—28no—
262C2×C4⋊C4—28no—
263C2×C4⋊C4—28no—
264C2×C4⋊C4—44no—
265C2×C4⋊C4—48no—
266C2×C4⋊C4—48no—
267C2×C4⋊C4—48no—
268C2×C4⋊C4—48no—
269C2×C4⋊C4—44no—
270C2×C4⋊C4—44no—
271C2×C4⋊C4—44no—
272C2×C4⋊C4—44no—
273C2×C4⋊C4—44no—
274C2×C4⋊C4—44no—
275C2×C42—28no—
276C2×C42—48no—
277C2×C42—48no—
278C2×C42—44no—
279C2×C42—44no—
280#95—28no—
281#95—28no—
282#95—28no—
283#95—28no—
284#95—28no—
285#95—48no—
286#95—48no—
287#95—48no—
288#95—48no—
289#95—48no—
290#95—48no—
291#95—48no—
292#95—48no—
293#95—48no—
294#95—48no—
295#95—48no—
296#95—44no—
297#95—44no—
298#95—48no—
299C24C22×D411yescharacteristic
300C24C22×D411yescharacteristic
301C24C22×D411yescharacteristic
302C24C22×Q811yescharacteristic
303C24C2×#4111yescharacteristic
304C24C2×#4111yescharacteristic
305C24C2×#4111yescharacteristic
306C24C2×#4112yes—
307C24C2×#4112yes—
308C24C2×#4112yes—
309C24C2×#4112yes—
310C24C2×#4112yes—
311C24C2×#4112yes—
312C24H(5,𝔽2)12yes—
313C24H(5,𝔽2)12yes—
314C24H(5,𝔽2)12yes—
315C242−1+412yes—
316C242−1+412yes—
317C242−1+412yes—
318C22×C4—22no—
319C22×C4—22no—
320C22×C4—24no—
321C22×C4—24no—
322C22×C4—22no—
323C22×C4—22no—
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—24no—
334C22×C4—22no—
335C22×C4—24no—
336C22×C4—24no—
337C22×C4—24no—
338C22×C4—24no—
339C22×C4—22no—
340C22×C4—24no—
341C22×C4—24no—
342C22×C4—24no—
343C22×C4—24no—
344C22×C4—24no—
345C22×C4—24no—
346C22×C4—24no—
347C22×C4—24no—
348C22×C4—24no—
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—24no—
360C22×C4—24no—
361C22×C4—24no—
362C22×C4—22no—
363C22×C4—22no—
364C22×C4—22no—
365C22×C4—22no—
366C22×C4—22no—
367C22×C4—24no—
368C22×C4—24no—
369C22×C4—24no—
370C22×C4—22no—
371C22×C4—24no—
372C22×C4—24no—
373C22×C4—24no—
374C22×C4—24no—
375C22×C4—22no—
376C22×C4—22no—
377C22×C4—22no—
378C22×C4—22no—
379C22×C4—22no—
380C22×C4—22no—
381C22×C4—22no—
382C22×C4—22no—
383C22×C4—22no—
384C22×C4—24no—
385C22×C4—24no—
386C22×C4—24no—
387C22×C4—24no—
388C22×C4—24no—
389C22×C4—24no—
390C22×C4—24no—
391C22×C4—24no—
392C22×C4—24no—
393C22×C4—24no—
394C22×C4—24no—
395C22×C4—24no—
396C22×C4—24no—
397C22×C4—24no—
398C22×C4—24no—
399C22×C4—24no—
400C22×C4—24no—
401C22×C4—24no—
402C22×C4—24no—
403C22×C4—24no—
404C22×C4—24no—
405C22×C4—24no—
406C22×C4—24no—
407C22×C4—24no—
408C22×C4—42no—
409C22×C4—42no—
410C22×C4—41no—
411C22×C4—41no—
412C22×C4—42no—
413C22×C4—41no—
414C22×C4—41no—
415C22×C4—42no—
416C22×C4—42no—
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—42no—
426C22×C4—42no—
427C22×C4—42no—
428C22×C4—42no—
429C22×C4—42no—
430C22×C4—42no—
431C22×C4—42no—
432C22×C4—42no—
433C22×C4—42no—
434C22×C4—42no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—41no—
438C22×C4—41no—
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—42no—
450C22×C4—42no—
451C22×C4—42no—
452C22×C4—42no—
453C22×C4—42no—
454C22×C4—42no—
455C22×C4—42no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—42no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—41no—
464C22×C4—41no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—41no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—41no—
478C22×C4—41no—
479C22×C4—41no—
480C22×C4—41no—
481C22×C4—41no—
482C22×C4—41no—
483C22×C4—41no—
484C22×C4—41no—
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—42no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4—42no—
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—42no—
572C22×C4—42no—
573C22×C4—42no—
574C22×C4—42no—
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#12014yes—
599C22×C4C22⋊Q814yes—
600C22×C4C22⋊Q814yes—
601C22×C4C22⋊Q814yes—
602C22×C4#12314yes—
603C22×C4#12414yes—
604C22×C4#12414yes—
605C22×C4#12414yes—
606C22×C4#12618yes—
607C4⋊C4—416no—
608C4⋊C4—416no—
609C4⋊C4—416no—
610C42—416no—
611C23C2×#12011yescharacteristic
612C23C2×C22⋊Q811yescharacteristic
613C23C2×C22⋊Q811yescharacteristic
614C23C2×C22⋊Q811yescharacteristic
615C23C2×#12311yescharacteristic
616C23#52511yescharacteristic
617C23C2×#12411yescharacteristic
618C23C2×#12411yescharacteristic
619C23C2×#12411yescharacteristic
620C23C2×#12612yes—
621C23#52912yes—
622C23#52912yes—
623C23#52912yes—
624C23#52912yes—
625C23#52912yes—
626C23#52912yes—
627C23#52912yes—
628C23#52912yes—
629C23#53211yescharacteristic
630C23#53211yescharacteristic
631C23#53211yescharacteristic
632C23#53211yescharacteristic
633C23#53312yes—
634C23#53411yescharacteristic
635C23#53511yescharacteristic
636C23#53511yescharacteristic
637C23#53611yescharacteristic
638C23#53611yescharacteristic
639C23#53611yescharacteristic
640C23#53812yes—
641C23#53812yes—
642C23#53912yes—
643C23#53912yes—
644C23#53912yes—
645C23#53912yes—
646C23#53912yes—
647C23#54012yes—
648C23#54012yes—
649C23#54112yes—
650C23#54112yes—
651C23#54112yes—
652C23#54112yes—
653C23#54212yes—
654C23#54212yes—
655C23#54212yes—
656C23#54212yes—
657C23#54412yes—
658C23#54612yes—
659C23#54612yes—
660C23#54612yes—
661C23#54612yes—
662C23#54712yes—
663C23#54712yes—
664C23#54712yes—
665C23#54712yes—
666C23#54812yes—
667C23#54812yes—
668C23#55012yes—
669C23#55012yes—
670C23#55112yes—
671C23#55112yes—
672C23#55112yes—
673C23#55112yes—
674C23#55112yes—
675C23#55212yes—
676C23#55212yes—
677C23#55212yes—
678C23#55212yes—
679C23#55212yes—
680C23#55212yes—
681C23#55212yes—
682C23#55212yes—
683C23#55312yes—
684C23#55312yes—
685C23#55312yes—
686C23#55312yes—
687C23#55412yes—
688C23#55412yes—
689C23#55612yes—
690C23#55612yes—
691C23#55712yes—
692C23#55712yes—
693C23#55912yes—
694C23#56212yes—
695C23#56212yes—
696C23#56312yes—
697C23#56312yes—
698C2×C4—24no—
699C2×C4—24no—
700C2×C4—24no—
701C2×C4—24no—
702C2×C4—24no—
703C2×C4—28no—
704C2×C4—28no—
705C2×C4—28no—
706C2×C4—28no—
707C2×C4—24no—
708C2×C4—24no—
709C2×C4—28no—
710C2×C4—28no—
711C2×C4—28no—
712C2×C4—28no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—44no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—42no—
740C2×C4—42no—
741C2×C4—42no—
742C2×C4—42no—
743C2×C4—42no—
744C2×C4—44no—
745C2×C4—42no—
746C2×C4—42no—
747C2×C4—42no—
748C2×C4—42no—
749C2×C4—42no—
750C2×C4—42no—
751C2×C4—42no—
752C2×C4—42no—
753C2×C4—42no—
754C2×C4—42no—
755C2×C4—44no—
756C2×C4—44no—
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—44no—
766C2×C4—44no—
767C2×C4—44no—
768C2×C4—44no—
769C2×C4—44no—
770C2×C4—44no—
771C2×C4—44no—
772C2×C4—44no—
773C2×C4—44no—
774C2×C4—44no—
775C2×C4—44no—
776C2×C4—44no—
777C2×C4—44no—
778C2×C4—82no—
779C2×C4—82no—
780C2×C4—82no—
781C2×C4—82no—
782C2×C4—82no—
783C2×C4—82no—
784C2×C4—82no—
785C2×C4—82no—
786C2×C4—82no—
787C2×C4—82no—
788C2×C4—82no—
789C2×C4—82no—
790C2×C4—82no—
791C2×C4—82no—
792C2×C4—82no—
793C2×C4—82no—
794C2×C4—82no—
795C2×C4—82no—
796C2×C4—82no—
797C2×C4—82no—
798C2×C4—82no—
799C2×C4—82no—
800C2×C4—82no—
801C2×C4—82no—
802C2×C4—82no—
803C2×C4—82no—
804C2×C4—82no—
805C2×C4—82no—
806C2×C4—82no—
807C2×C4—82no—
808C2×C4—82no—
809C2×C4—82no—
810C2×C4—82no—
811C2×C4—82no—
812C2×C4—82no—
813C2×C4—82no—
814C2×C4—82no—
815C2×C4—82no—
816C2×C4—82no—
817C2×C4—82no—
818C2×C4—82no—
819C2×C4—82no—
820C2×C4—82no—
821C2×C4—82no—
822C2×C4#39318yes—
823C22C2×#39311yescharacteristic
824C22#240112yes—
825C22#240511yescharacteristic
826C22#240611yescharacteristic
827C22#241912yes—
828C22#243111yescharacteristic
829C22#243111yescharacteristic
830C22#243211yescharacteristic
831C22#243211yescharacteristic
832C22#243812yes—
833C22#243812yes—
834C22#244812yes—
835C22#245312yes—
836C22#245312yes—
837C22#245412yes—
838C22#245412yes—
839C22#247912yes—
840C22#248112yes—
841C22#248812yes—
842C22#248812yes—
843C22#248912yes—
844C22#248912yes—
845C22#249012yes—
846C22#249012yes—
847C22#249312yes—
848C22#249612yes—
849C22#250311yescharacteristic
850C22#251012yes—
851C22#251112yes—
852C22#251212yes—
853C22#251612yes—
854C22#251912yes—
855C22#252012yes—
856C22#252112yes—
857C22#252412yes—
858C22#253012yes—
859C22#253012yes—
860C22#253312yes—
861C22#253312yes—
862C22#255312yes—
863C22#255412yes—
864C22#255712yes—
865C22#255812yes—
866C22#256111yescharacteristic
867C22#256511yescharacteristic
868C22#256511yescharacteristic
869C22#256611yescharacteristic
870C22#256611yescharacteristic
871C22#257312yes—
872C22#257812yes—
873C22#258512yes—
874C22#258812yes—
875C22#259612yes—
876C22#262711yescharacteristic
877C22#264111yescharacteristic
878C22#264211yescharacteristic
879C22#264912yes—
880C22#265412yes—
881C22#265512yes—
882C22#269412yes—
883C22#269612yes—
884C22#269812yes—
885C22#270012yes—
886C22#270812yes—
887C22#271012yes—
888C22#271612yes—
889C22#271812yes—
890C22#272112yes—
891C22#272112yes—
892C22#272312yes—
893C22#273012yes—
894C22#273812yes—
895C22#273912yes—
896C22#274112yes—
897C22#274312yes—
898C22#274712yes—
899C22#275512yes—
900C22#276612yes—
901C22#277312yes—
902C22#277412yes—
903C22#277612yes—
904C22#280212yes—
905C22#280512yes—
906C22#283612yes—
907C22#285511yescharacteristic
908C22#286111yescharacteristic
909C22#286111yescharacteristic
910C4—28no—
911C4—44no—
912C4—48no—
913C4—82no—
914C4—82no—
915C4—82no—
916C4—84no—
917C4—84no—
918C4—82no—
919C4—82no—
920C4—84no—
921C2#1485212yes—
922C2#1493411yescharacteristic
923C2#1503512yes—
924C2#1506212yes—
925C2#1522911yescharacteristic
926C2#1523811yescharacteristic
927C2#1546411yescharacteristic
928C2#1574312yes—
929C2#1574412yes—
930C2#1578511yescharacteristic
931C2#1579712yes—
932C2#1580512yes—
933C2#1589212yes—
934C2#1589312yes—
935C2#1592711yescharacteristic
936C2#1592811yescharacteristic
937C2#1659712yes—
938C2#1676212yes—
939C2#1683412yes—
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
C22×#4002
C2×#14452
C2×C4⋊#952
#75572
#75562
#75542