Finite Group Databasebeta

← #7325400

Subgroups — #7325400

Order 512.

1871 conjugacy classes of subgroups.

The subgroup lattice has 1556 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52956C211yesmaximal, characteristic, complemented
2#44886C211yesmaximal, characteristic, complemented
3#31796C211yesmaximal, characteristic, complemented
4#31499C211yesmaximal, characteristic, complemented
5#31399C211yesmaximal, characteristic, complemented
6#31286C211yesmaximal, characteristic, complemented
7#31194C211yesmaximal, characteristic, complemented
8#30999C211yesmaximal, characteristic, complemented
9#30985C211yesmaximal, characteristic, complemented
10#30849C211yesmaximal, characteristic, complemented
11#30725C211yesmaximal, characteristic, complemented
12#30701C211yesmaximal, characteristic, complemented
13#30472C211yesmaximal, characteristic, complemented
14#30409C211yesmaximal, characteristic, complemented
15#29607C211yesmaximal, characteristic, complemented
16#29604C211yesmaximal, characteristic, complemented
17#29065C211yesmaximal, characteristic, complemented
18#27058C211yesmaximal, characteristic, complemented
19#26936C211yesmaximal, characteristic, complemented
20#26659C211yesmaximal, characteristic, complemented
21#26546C211yesmaximal, characteristic, complemented
22#25765C211yesmaximal, characteristic, complemented
23#25419C211yesmaximal, characteristic, complemented
24#25395C211yesmaximal, characteristic, complemented
25#25133C211yesmaximal, characteristic, complemented
26#24452C211yesmaximal, characteristic, complemented
27#24393C211yesmaximal, characteristic, complemented
28#24390C211yesmaximal, characteristic, complemented
29#24245C211yesmaximal, characteristic, complemented
30#24046C211yesmaximal, characteristic, complemented
31#22039C211yesmaximal, characteristic, complemented
32C2×#550C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#537C2211yescharacteristic
35C2×#535C2211yescharacteristic
36C2×#496C2211yescharacteristic
37C2×#485C2211yescharacteristic
38C2×#480C2211yescharacteristic, complemented
39C2×#480C2211yescharacteristic, complemented
40C2×#469C2211yescharacteristic
41C2×#468C2211yescharacteristic
42C2×#468C2211yescharacteristic, complemented
43C2×#467C2211yescharacteristic, complemented
44C2×#466C2211yescharacteristic
45C2×#464C2211yescharacteristic, complemented
46C2×#460C2211yescharacteristic
47C2×#463C2211yescharacteristic
48C2×#452C2211yescharacteristic
49C2×#452C2211yescharacteristic, complemented
50C2×#449C2211yescharacteristic
51C2×#449C2211yescharacteristic, complemented
52C2×#450C2211yescharacteristic
53C2×#447C2211yescharacteristic
54C2×C4×D8C2211yescharacteristic
55C2×#436C2211yescharacteristic, complemented
56C2×#417C2211yescharacteristic
57C2×#408C2211yescharacteristic
58#2838—21no—
59#2829—21no—
60#2826—21no—
61#2825—21no—
62#2784—21no—
63#2714—21no—
64#2705—21no—
65#2703—21no—
66#2676—21no—
67#2673—21no—
68#2669—21no—
69#2669—21no—
70#2616C2211yescharacteristic
71#2615C2211yescharacteristic
72#2541—21no—
73#2541C2211yescharacteristic
74#2540C2211yescharacteristic, complemented
75#2538C2211yescharacteristic, complemented
76#2535C2211yescharacteristic
77#2496C2211yescharacteristic
78#2494C2211yescharacteristic, complemented
79#2487C2211yescharacteristic, complemented
80#2461—21no—
81#2433C2211yescharacteristic
82#2431C2211yescharacteristic
83#2428C2211yescharacteristic
84#2427C2211yescharacteristic, complemented
85#2426C2211yescharacteristic
86#2426C2211yescharacteristic
87#2424—21no—
88#2424—21no—
89#2422C2211yescharacteristic, complemented
90#2421C2211yescharacteristic, complemented
91#2417C2211yescharacteristic
92#2416C2211yescharacteristic
93#2416C2211yescharacteristic, complemented
94#2414C2211yescharacteristic
95#2407C2211yescharacteristic
96#2388C2211yescharacteristic
97#2362C2211yescharacteristic
98#2361C2211yescharacteristic
99#2101C2211yescharacteristic, complemented
100#2093C2211yescharacteristic
101#2088C2211yescharacteristic, complemented
102#2075C2211yescharacteristic, complemented
103#2073C2211yescharacteristic, complemented
104#2072C2211yescharacteristic, complemented
105#2068C2211yescharacteristic, complemented
106#2067C2211yescharacteristic
107#2066C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2054C2211yescharacteristic
110#2042C2211yescharacteristic
111#2042C2211yescharacteristic, complemented
112#2041C2211yescharacteristic
113#2041C2211yescharacteristic
114#2041C2211yescharacteristic
115#2036C2211yescharacteristic
116#2036C2211yescharacteristic
117#2036C2211yescharacteristic, complemented
118#2036C2211yescharacteristic, complemented
119#2034C2211yescharacteristic
120#2034C2211yescharacteristic
121#2034C2211yescharacteristic
122#2033C2211yescharacteristic
123#2033C2211yescharacteristic
124#2033C2211yescharacteristic
125#2033C2211yescharacteristic
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic
128#2033C2211yescharacteristic, complemented
129#2015C2211yescharacteristic
130#2012C2211yescharacteristic
131#2011C2211yescharacteristic
132#2001C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1982C2211yescharacteristic
148#1968C2211yescharacteristic, complemented
149#1968C2211yescharacteristic, complemented
150#1958C2211yescharacteristic
151#1957C2211yescharacteristic
152#1955C2211yescharacteristic, complemented
153#1954C2211yescharacteristic
154#1947C2211yescharacteristic, complemented
155#1943C2211yescharacteristic, complemented
156#1942C2211yescharacteristic, complemented
157#1936C2211yescharacteristic
158#1934C2211yescharacteristic
159#1925C2211yescharacteristic
160#1925C2211yescharacteristic, complemented
161#1924C2211yescharacteristic
162#1923C2211yescharacteristic
163#1923C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1921C2211yescharacteristic, complemented
166#1918C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1895C2211yescharacteristic, complemented
169#1895C2211yescharacteristic, complemented
170#1894C2211yescharacteristic, complemented
171#1893C2211yescharacteristic
172#1893C2211yescharacteristic, complemented
173#1880C2211yescharacteristic
174#1879C2211yescharacteristic, complemented
175#1878C2211yescharacteristic, complemented
176#1877C2211yescharacteristic
177#1875C2211yescharacteristic
178#1874C2211yescharacteristic
179#1872C2211yescharacteristic, complemented
180#1870C2211yescharacteristic
181#1870C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1863C2211yescharacteristic, complemented
184#1863C2211yescharacteristic, complemented
185#1862C2211yescharacteristic
186#1862C2211yescharacteristic, complemented
187#1854C2211yescharacteristic
188#1853C2211yescharacteristic, complemented
189#1852C2211yescharacteristic, complemented
190#1850C2211yescharacteristic, complemented
191#1825C2211yescharacteristic
192#1824C2211yescharacteristic, complemented
193#1804C2211yescharacteristic
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1780C2211yescharacteristic
200#1763C2211yescharacteristic, complemented
201C4×#103C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C23×C8C2311yescharacteristic
218#550—42no—
219#550—42no—
220#546—42no—
221#546—42no—
222#537—42no—
223#537—42no—
224#535—42no—
225#535—42no—
226C2×#127—21no—
227C2×#127—21no—
228C2×#127—21no—
229C2×#127C2311yescharacteristic
230C2×#127C2311yescharacteristic
231C2×#126—21no—
232C2×#124—21no—
233C2×#124C2311yescharacteristic
234C2×#124C2311yescharacteristic
235C2×#123—21no—
236C2×#123—21no—
237C2×C22⋊Q8—21no—
238C2×C22⋊Q8C2311yescharacteristic
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×#120—21no—
270C2×C4×Q8C2311yescharacteristic
271C2×C4×Q8C2311yescharacteristic
272C2×C4×D4—21no—
273C2×C4×D4—21no—
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×#117C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C22⋊C4—21no—
283#496—42no—
284#485—42no—
285#480—42no—
286#480—42no—
287#469—42no—
288#468—42no—
289#468—42no—
290#467—42no—
291#466—42no—
292#464—42no—
293#463—42no—
294#460—42no—
295#452—42no—
296#452—42no—
297#450—42no—
298#449—42no—
299#449—42no—
300#447—42no—
301C4×D8—42no—
302#436—42no—
303C2×#107C2311yescharacteristic
304C2×#107C2311yescharacteristic
305C2×#107C2311yescharacteristic
306C2×#107C2311yescharacteristic
307C2×#107C2311yescharacteristic
308C2×#107C2311yescharacteristic
309C2×#106C2311yescharacteristic
310C2×#106C2311yescharacteristic
311C2×C4⋊C8C2311yescharacteristic
312C2×C4⋊C8C2311yescharacteristic
313C2×C4⋊C8C2311yescharacteristic
314#417—42no—
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347#408—42no—
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×#97C2311yescharacteristic
362C2×C4×C8C2311yescharacteristic
363C2×C4×C8C2311yescharacteristic
364#401—21no—
365#400—21no—
366#400—21no—
367#400—21no—
368#399—21no—
369#399—21no—
370#398—21no—
371#397—21no—
372#397—21no—
373#397—21no—
374#397—21no—
375#397—21no—
376#397—21no—
377#396—21no—
378#396—21no—
379#396—21no—
380#396—21no—
381#396—21no—
382#396—21no—
383#396—21no—
384#395—21no—
385#395D411yescharacteristic
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394—21no—
396#394—21no—
397#394—21no—
398#394D411yescharacteristic
399#394D411yescharacteristic
400#394D411yescharacteristic
401#393—21no—
402#393D411yescharacteristic
403#392—21no—
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#392—21no—
409#392—21no—
410#392—21no—
411#392—21no—
412#392—21no—
413#392—21no—
414#392—21no—
415#392—21no—
416#392—21no—
417#392D411yescharacteristic
418#392D411yescharacteristic
419#392D411yescharacteristic
420#391C2311yescharacteristic
421#391C2311yescharacteristic
422#390—21no—
423#390—21no—
424#390—21no—
425#390—21no—
426#390—21no—
427#390—21no—
428#390—21no—
429#390C2311yescharacteristic
430#390C2311yescharacteristic
431#390C2311yescharacteristic
432#390C2311yescharacteristic
433#389—21no—
434#389C2311yescharacteristic
435#389C2311yescharacteristic
436#389C2311yescharacteristic
437#389C2311yescharacteristic
438#389C2311yescharacteristic
439#389C2311yescharacteristic
440#388—21no—
441#388—21no—
442#388—21no—
443#388—21no—
444#388—21no—
445#388—21no—
446#388—21no—
447#388—21no—
448#387—21no—
449#387—21no—
450#387—21no—
451#387—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#385—21no—
465#385—21no—
466#385—21no—
467#385—21no—
468#384C2311yescharacteristic
469#382C2311yescharacteristic
470#380—21no—
471#380—21no—
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#380C2311yescharacteristic
476#380C2311yescharacteristic
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480C4×C4⋊C4—21no—
481C4×C4⋊C4C2311yescharacteristic
482C4×C4⋊C4C2311yescharacteristic
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C22×Q8C2×D411yescharacteristic
528C22×Q8C2411yescharacteristic
529C22×Q8C2411yescharacteristic
530C22×D4—21no—
531C22×D4—22no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4C2×D411yescharacteristic
556C22×D4C2×D411yescharacteristic
557C22×D4C2×D411yescharacteristic
558C22×D4C2×D411yescharacteristic
559C22×D4C2×D411yescharacteristic
560C22×D4C2×D411yescharacteristic
561C22×D4C2411yescharacteristic
562C22×D4C2411yescharacteristic
563C22×D4C2411yescharacteristic
564C22×D4C2411yescharacteristic
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4C2411yescharacteristic
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574C23×C4C2411yescharacteristic
575C2×Q16—22no—
576C2×Q16—41no—
577C2×Q16—41no—
578C2×SD16—22no—
579C2×SD16—22no—
580C2×SD16—22no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×D8—22no—
591C2×D8—22no—
592C2×D8—41no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×M16—22no—
600C2×M16—41no—
601C2×M16—41no—
602C2×M16—41no—
603C2×M16—41no—
604C2×M16—41no—
605C22×C8—41no—
606C22×C8—41no—
607C22×C8—41no—
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616#127—22no—
617#127—41no—
618#127—41no—
619#127—41no—
620#127—44no—
621#127—44no—
622#127—82no—
623#126—82no—
624#124—22no—
625#124—41no—
626#124—41no—
627#124—41no—
628#124—44no—
629#123—44no—
630#123—82no—
631C22⋊Q8—22no—
632C22⋊Q8—22no—
633C22⋊Q8—22no—
634C22⋊Q8—41no—
635C22⋊Q8—44no—
636C22⋊Q8—41no—
637C22⋊Q8—41no—
638C22⋊Q8—41no—
639C22⋊Q8—41no—
640C22⋊Q8—41no—
641C22⋊Q8—41no—
642C22⋊Q8—41no—
643C22⋊Q8—41no—
644#121—22no—
645#121—22no—
646#121—22no—
647#121—22no—
648#121—22no—
649#121—22no—
650#121—22no—
651#121—44no—
652#121—44no—
653#121—44no—
654#121—41no—
655#121—41no—
656#121—41no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—41no—
663#121—44no—
664#121—44no—
665#121—44no—
666#121—41no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—41no—
671#121—41no—
672#121—41no—
673#121—41no—
674#121—82no—
675#121—82no—
676#121—82no—
677#120—44no—
678#120—44no—
679#120—44no—
680#120—82no—
681#120—82no—
682C4×Q8—22no—
683C4×Q8—41no—
684C4×Q8—41no—
685C4×Q8—41no—
686C4×D4—22no—
687C4×D4—41no—
688C4×D4—41no—
689C4×D4—41no—
690C4×D4—41no—
691C4×D4—41no—
692C4×D4—41no—
693C4×D4—41no—
694C4×D4—41no—
695C4×D4—41no—
696C4×D4—44no—
697C4×D4—82no—
698#117—22no—
699#117—41no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—22no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—41no—
720C2×C4⋊C4—41no—
721C2×C4⋊C4—41no—
722C2×C4⋊C4C2×D411yescharacteristic
723C2×C4⋊C4C2×D411yescharacteristic
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—44no—
777C2×C22⋊C4C2×D411yescharacteristic
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C42—21no—
790C2×C42—21no—
791C2×C42—21no—
792C2×C42—21no—
793C2×C42—21no—
794C2×C42C2411yescharacteristic
795C2×C42C2411yescharacteristic
796C2×C42C2411yescharacteristic
797#107—22no—
798#107—22no—
799#107—22no—
800#107—22no—
801#107—41no—
802#107—41no—
803#106—41no—
804#106—41no—
805C4⋊C8—22no—
806C4⋊C8—41no—
807C4⋊C8—41no—
808#103—22no—
809#103—22no—
810#103—22no—
811#103—22no—
812#103—22no—
813#103—41no—
814#103—41no—
815#103—41no—
816#103—41no—
817#103—41no—
818#102—22no—
819#102—22no—
820#102—22no—
821#102—22no—
822#102—22no—
823#102—41no—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839#102—41no—
840C22⋊C8—22no—
841C22⋊C8—22no—
842C22⋊C8—22no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849C22⋊C8—41no—
850C22⋊C8—41no—
851C22⋊C8—41no—
852C22⋊C8—41no—
853#97—41no—
854C4×C8—41no—
855C4×C8—41no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95C2×D411yescharacteristic
879#95C2×D411yescharacteristic
880#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882#95C2×D411yescharacteristic
883#95C2×D411yescharacteristic
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—42no—
889C24—42no—
890C24—81no—
891C24—81no—
892C24—81no—
893C24—81no—
894C24—81no—
895C24C22×D411yescharacteristic
896C24C22×D411yescharacteristic
897C24C22×D411yescharacteristic
898C24C22×D411yescharacteristic
899#41—44no—
900#41—82no—
901#41—82no—
902#41—82no—
903#41—82no—
904#41—82no—
905#41—82no—
906#41—82no—
907#41—82no—
908#41—82no—
909#41—82no—
910#41—82no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—41no—
923C2×Q8—41no—
924C2×Q8—41no—
925C2×Q8H(5,𝔽2)12yes—
926C2×D4—24no—
927C2×D4—22no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—41no—
952C2×D4—41no—
953C2×D4—41no—
954C2×D4—41no—
955C2×D4—41no—
956C2×D4—41no—
957C2×D4—41no—
958C2×D4—41no—
959C2×D4—41no—
960C2×D4—41no—
961C2×D4—41no—
962C2×D4—41no—
963C2×D4—41no—
964C2×D4—41no—
965C2×D4—41no—
966C2×D4—41no—
967C2×D4—41no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
983C2×D4—42no—
984C2×D4—42no—
985C2×D4—42no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—82no—
996C2×D4—82no—
997C2×D4—82no—
998C2×D4—82no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—81no—
1011C2×D4—81no—
1012C2×D4—81no—
1013C2×D4—81no—
1014C2×D4—81no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—81no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4—81no—
1022C2×D4—81no—
1023C2×D4—81no—
1024C2×D4—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4H(5,𝔽2)12yes—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—42no—
1066C22×C4—42no—
1067C22×C4—42no—
1068C22×C4—42no—
1069C22×C4—42no—
1070C22×C4—42no—
1071C22×C4—81no—
1072C22×C4—81no—
1073C22×C4—81no—
1074C22×C4—81no—
1075C22×C4—81no—
1076C22×C4—81no—
1077C22×C4—81no—
1078C22×C4—81no—
1079C22×C4—81no—
1080C22×C4—81no—
1081C22×C4—81no—
1082C22×C4—81no—
1083C22×C4C22×D411yescharacteristic
1084C22×C4C22×D411yescharacteristic
1085C22×C4C22×D411yescharacteristic
1086C22×C4C22×D411yescharacteristic
1087C22×C4C22×D411yescharacteristic
1088C22×C4C22×D411yescharacteristic
1089C22×C4C22×D411yescharacteristic
1090C22×C4C22×D411yescharacteristic
1091C22×C4C22×D411yescharacteristic
1092C22×C4C22×D411yescharacteristic
1093C22×C4C2511yescharacteristic
1094Q16—82no—
1095SD16—82no—
1096SD16—82no—
1097SD16—82no—
1098SD16—82no—
1099D8—44no—
1100D8—82no—
1101D8—82no—
1102M16—82no—
1103M16—82no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—21no—
1110C2×C8—21no—
1111C2×C8—21no—
1112C2×C8—21no—
1113C2×C8—21no—
1114C2×C8—21no—
1115C2×C8—21no—
1116C2×C8—21no—
1117C2×C8—21no—
1118C2×C8—21no—
1119C2×C8—21no—
1120C2×C8—21no—
1121C2×C8—21no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—21no—
1125C2×C8—21no—
1126C2×C8—21no—
1127C2×C8—82no—
1128C2×C8H(5,𝔽2)12yes—
1129C4⋊C4—24no—
1130C4⋊C4—21no—
1131C4⋊C4—21no—
1132C4⋊C4—21no—
1133C4⋊C4—21no—
1134C4⋊C4—21no—
1135C4⋊C4—21no—
1136C4⋊C4—21no—
1137C4⋊C4—21no—
1138C4⋊C4—21no—
1139C4⋊C4—21no—
1140C4⋊C4—21no—
1141C4⋊C4—21no—
1142C4⋊C4—21no—
1143C4⋊C4—21no—
1144C4⋊C4—21no—
1145C4⋊C4—21no—
1146C4⋊C4—21no—
1147C4⋊C4—21no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—42no—
1152C4⋊C4—42no—
1153C4⋊C4—42no—
1154C4⋊C4—42no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—81no—
1158C4⋊C4—81no—
1159C4⋊C4—81no—
1160C4⋊C4—81no—
1161C4⋊C4—81no—
1162C4⋊C4—81no—
1163C4⋊C4—81no—
1164C4⋊C4—81no—
1165C4⋊C4—81no—
1166C4⋊C4—81no—
1167C4⋊C4—81no—
1168C4⋊C4H(5,𝔽2)12yes—
1169C4⋊C4H(5,𝔽2)12yes—
1170C22⋊C4—24no—
1171C22⋊C4—24no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—41no—
1178C22⋊C4—41no—
1179C22⋊C4—41no—
1180C22⋊C4—41no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—42no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—42no—
1189C22⋊C4—42no—
1190C22⋊C4—42no—
1191C22⋊C4—42no—
1192C22⋊C4—42no—
1193C22⋊C4—42no—
1194C22⋊C4—42no—
1195C22⋊C4—42no—
1196C22⋊C4—42no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C22⋊C4—81no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C22⋊C4—81no—
1206C22⋊C4—81no—
1207C22⋊C4—81no—
1208C22⋊C4—81no—
1209C22⋊C4—81no—
1210C22⋊C4—81no—
1211C22⋊C4—81no—
1212C22⋊C4—81no—
1213C22⋊C4—81no—
1214C22⋊C4—81no—
1215C22⋊C4—81no—
1216C22⋊C4—81no—
1217C22⋊C4—81no—
1218C22⋊C4—81no—
1219C22⋊C4—81no—
1220C22⋊C4—81no—
1221C22⋊C4—81no—
1222C22⋊C4—81no—
1223C42—21no—
1224C42—21no—
1225C42—21no—
1226C42—21no—
1227C42—21no—
1228C42—21no—
1229C42—42no—
1230C42—42no—
1231C42—42no—
1232C42—81no—
1233C42—81no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—22no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—84no—
1291C23—84no—
1292C23—162no—
1293C23—162no—
1294C23—162no—
1295C23—162no—
1296C23—162no—
1297C23C23×D411yescharacteristic
1298Q8—22no—
1299Q8—22no—
1300Q8—41no—
1301Q8—41no—
1302Q8—41no—
1303Q8—41no—
1304Q8—41no—
1305Q8—41no—
1306Q8—82no—
1307D4—22no—
1308D4—22no—
1309D4—41no—
1310D4—41no—
1311D4—41no—
1312D4—41no—
1313D4—41no—
1314D4—41no—
1315D4—41no—
1316D4—41no—
1317D4—41no—
1318D4—41no—
1319D4—41no—
1320D4—41no—
1321D4—41no—
1322D4—41no—
1323D4—82no—
1324D4—84no—
1325D4—82no—
1326D4—82no—
1327D4—82no—
1328D4—82no—
1329D4—82no—
1330D4—84no—
1331D4—84no—
1332D4—84no—
1333D4—84no—
1334D4—162no—
1335D4—162no—
1336D4—162no—
1337D4—162no—
1338D4—162no—
1339D4—162no—
1340D4—162no—
1341D4—162no—
1342D4—162no—
1343D4—162no—
1344D4—162no—
1345D4—162no—
1346D4—162no—
1347D4—162no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—22no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—84no—
1430C2×C4—84no—
1431C2×C4—162no—
1432C2×C4—162no—
1433C2×C4—162no—
1434C2×C4—162no—
1435C2×C4#57612yes—
1436C2×C4C2×H(5,𝔽2)11yescharacteristic
1437C2×C4C2×H(5,𝔽2)11yescharacteristic
1438C2×C4C2×H(5,𝔽2)11yescharacteristic
1439C2×C4C2×H(5,𝔽2)11yescharacteristic
1440C2×C4C2×H(5,𝔽2)11yescharacteristic
1441C2×C4#58511yescharacteristic
1442C8—22no—
1443C8—41no—
1444C8—41no—
1445C8—41no—
1446C8—41no—
1447C8—41no—
1448C8—41no—
1449C8—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—42no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—42no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—42no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—81no—
1490C22—81no—
1491C22—81no—
1492C22—81no—
1493C22—81no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—81no—
1501C22—81no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—81no—
1506C22—168no—
1507C22#348411yescharacteristic
1508C22#348411yescharacteristic
1509C22#349611yescharacteristic
1510C22C2×#57611yescharacteristic
1511C22#358411yescharacteristic
1512C22#358511yescharacteristic
1513C22#358611yescharacteristic
1514C4—22no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—42no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—42no—
1525C4—41no—
1526C4—42no—
1527C4—81no—
1528C4—81no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C4—81no—
1533C4—81no—
1534C4—81no—
1535C4—81no—
1536C4#353411yescharacteristic
1537C4#353711yescharacteristic
1538C4#354311yescharacteristic
1539C4#354611yescharacteristic
1540C2—81no—
1541C2—81no—
1542C2—81no—
1543C2—81no—
1544C2—82no—
1545C2—161no—
1546C2—161no—
1547C2—161no—
1548C2#4792811yescharacteristic
1549C2#6161511yescharacteristic
1550C2#6165411yescharacteristic
1551C2#6165711yescharacteristic
1552C2#6168811yescharacteristic
1553C2#6231111yescharacteristic
1554C2#6235111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #52956C2semidirect
2. #44886C2semidirect
3. #31796C2semidirect
4. #31499C2semidirect
5. #31399C2semidirect
6. #31286C2semidirect
7. #31194C2semidirect
8. #30999C2semidirect
9. #30985C2semidirect
10. #30849C2semidirect
11. #30725C2semidirect
12. #30701C2semidirect
13. #30472C2semidirect
14. #30409C2semidirect
15. #29607C2semidirect
16. #29604C2semidirect
17. #29065C2semidirect
18. #27058C2semidirect
19. #26936C2semidirect
20. #26659C2semidirect
21. #26546C2semidirect
22. #25765C2semidirect
23. #25419C2semidirect
24. #25395C2semidirect
25. #25133C2semidirect
26. #24452C2semidirect
27. #24393C2semidirect
28. #24390C2semidirect
29. #24245C2semidirect
30. #24046C2semidirect
31. #22039C2semidirect
38. C2×#480C22semidirect
39. C2×#480C22semidirect
42. C2×#468C22semidirect
43. C2×#467C22semidirect
45. C2×#464C22semidirect
49. C2×#452C22semidirect
51. C2×#449C22semidirect
55. C2×#436C22semidirect
74. #2540C22semidirect
75. #2538C22semidirect
78. #2494C22semidirect
79. #2487C22semidirect
84. #2427C22semidirect
89. #2422C22semidirect
90. #2421C22semidirect
93. #2416C22semidirect
99. #2101C22semidirect
101. #2088C22semidirect
102. #2075C22semidirect
103. #2073C22semidirect
104. #2072C22semidirect
105. #2068C22semidirect
107. #2066C22semidirect
108. #2065C22semidirect
111. #2042C22semidirect
117. #2036C22semidirect
118. #2036C22semidirect
128. #2033C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
148. #1968C22semidirect
149. #1968C22semidirect
152. #1955C22semidirect
154. #1947C22semidirect
155. #1943C22semidirect
156. #1942C22semidirect
160. #1925C22semidirect
163. #1923C22semidirect
164. #1923C22semidirect
165. #1921C22semidirect
166. #1918C22semidirect
168. #1895C22semidirect
169. #1895C22semidirect
170. #1894C22semidirect
172. #1893C22semidirect
174. #1879C22semidirect
175. #1878C22semidirect
179. #1872C22semidirect
181. #1870C22semidirect
182. #1869C22semidirect
183. #1863C22semidirect
184. #1863C22semidirect
186. #1862C22semidirect
188. #1853C22semidirect
189. #1852C22semidirect
190. #1850C22semidirect
192. #1824C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
200. #1763C22semidirect
201. C4×#103C22semidirect
202. #1753C22semidirect

Maximal subgroups

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

subgroupindex
#529562
#448862
#317962
#314992
#313992
#312862
#311942
#309992
#309852
#308492
#307252
#307012
#304722
#304092
#296072
#296042
#290652
#270582
#269362
#266592
#265462
#257652
#254192
#253952
#251332
#244522
#243932
#243902
#242452
#240462
#220392