Finite Group Databasebeta

← #7312581

Subgroups — #7312581

Order 512.

1825 conjugacy classes of subgroups.

The subgroup lattice has 1517 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45687C211yesmaximal, characteristic, complemented
2#39957C211yesmaximal, characteristic, complemented
3#31953C211yesmaximal, characteristic, complemented
4#31925C211yesmaximal, characteristic, complemented
5#31310C211yesmaximal, characteristic, complemented
6#31219C211yesmaximal, characteristic, complemented
7#31200C211yesmaximal, characteristic, complemented
8#31067C211yesmaximal, characteristic, complemented
9#31032C211yesmaximal, characteristic, complemented
10#31031C211yesmaximal, characteristic, complemented
11#31014C211yesmaximal, characteristic, complemented
12#30722C211yesmaximal, characteristic, complemented
13#30560C211yesmaximal, characteristic, complemented
14#30463C211yesmaximal, characteristic, complemented
15#30327C211yesmaximal, characteristic, complemented
16#29814C211yesmaximal, characteristic, complemented
17#28899C211yesmaximal, characteristic, complemented
18#28851C211yesmaximal, characteristic, complemented
19#28366C211yesmaximal, characteristic, complemented
20#28318C211yesmaximal, characteristic, complemented
21#26969C211yesmaximal, characteristic, complemented
22#26258C211yesmaximal, characteristic, complemented
23#25783C211yesmaximal, characteristic, complemented
24#25765C211yesmaximal, characteristic, complemented
25#25117C211yesmaximal, characteristic, complemented
26#24511C211yesmaximal, characteristic, complemented
27#24443C211yesmaximal, characteristic, complemented
28#24269C211yesmaximal, characteristic, complemented
29#24245C211yesmaximal, characteristic, complemented
30#23852C211yesmaximal, characteristic, complemented
31#23086C211yesmaximal, characteristic, complemented
32C23×SD16C2211yescharacteristic
33C2×#550C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×#496C2211yescharacteristic
36C2×#496C2211yescharacteristic
37C2×#481C2211yescharacteristic
38C2×#485C2211yescharacteristic, complemented
39C2×#482C2211yescharacteristic, complemented
40C2×#468C2211yescharacteristic
41C2×#468C2211yescharacteristic
42C2×#466C2211yescharacteristic
43C2×#464C2211yescharacteristic, complemented
44C2×#463C2211yescharacteristic
45C2×#452C2211yescharacteristic
46C2×#452C2211yescharacteristic
47C2×#452C2211yescharacteristic, complemented
48C2×#452C2211yescharacteristic, complemented
49C2×#449C2211yescharacteristic
50C2×#449C2211yescharacteristic, complemented
51C2×#451C2211yescharacteristic
52C2×#448C2211yescharacteristic
53C2×#447C2211yescharacteristic
54C2×C4×D8C2211yescharacteristic
55C2×#435C2211yescharacteristic
56C2×#432C2211yescharacteristic, complemented
57C2×#417C2211yescharacteristic, complemented
58#2856C2211yescharacteristic
59#2855C2211yescharacteristic, complemented
60#2850C2211yescharacteristic, complemented
61#2838—21no—
62#2784—21no—
63#2760—21no—
64#2749—21no—
65#2746—21no—
66#2737—21no—
67#2688—21no—
68#2673—21no—
69#2671—21no—
70#2669—21no—
71#2668—21no—
72#2661—21no—
73#2602—21no—
74#2540C2211yescharacteristic, complemented
75#2539—21no—
76#2535C2211yescharacteristic
77#2514C2211yescharacteristic, complemented
78#2503C2211yescharacteristic, complemented
79#2494C2211yescharacteristic
80#2448C2211yescharacteristic
81#2447C2211yescharacteristic, complemented
82#2445C2211yescharacteristic
83#2436C2211yescharacteristic
84#2433C2211yescharacteristic
85#2431C2211yescharacteristic
86#2427C2211yescharacteristic, complemented
87#2423C2211yescharacteristic
88#2422C2211yescharacteristic
89#2417C2211yescharacteristic, complemented
90#2416C2211yescharacteristic
91#2414C2211yescharacteristic
92#2414C2211yescharacteristic
93#2409C2211yescharacteristic
94#2409C2211yescharacteristic
95#2408C2211yescharacteristic
96#2407C2211yescharacteristic
97#2377—21no—
98#2321—21no—
99C4×#121C2211yescharacteristic
100#2297C2211yescharacteristic
101#2097C2211yescharacteristic, complemented
102#2092C2211yescharacteristic
103#2092C2211yescharacteristic, complemented
104#2085C2211yescharacteristic, complemented
105#2083C2211yescharacteristic, complemented
106#2077C2211yescharacteristic
107#2072C2211yescharacteristic, complemented
108#2068C2211yescharacteristic, complemented
109#2068C2211yescharacteristic, complemented
110#2067C2211yescharacteristic
111#2066C2211yescharacteristic, complemented
112#2065C2211yescharacteristic
113#2056C2211yescharacteristic, complemented
114#2055C2211yescharacteristic
115#2055C2211yescharacteristic
116#2055C2211yescharacteristic, complemented
117#2055C2211yescharacteristic, complemented
118#2054C2211yescharacteristic
119#2054C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2041C2211yescharacteristic
122#2041C2211yescharacteristic
123#2036C2211yescharacteristic
124#2036C2211yescharacteristic, complemented
125#2035C2211yescharacteristic, complemented
126#2034C2211yescharacteristic
127#2034C2211yescharacteristic
128#2033C2211yescharacteristic
129#2033C2211yescharacteristic
130#2033C2211yescharacteristic, complemented
131#2015C2211yescharacteristic
132#2015C2211yescharacteristic
133#2015C2211yescharacteristic, complemented
134#2014C2211yescharacteristic
135#2014C2211yescharacteristic
136#2012C2211yescharacteristic
137#2012C2211yescharacteristic
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic, complemented
149#1982C2211yescharacteristic
150#1973C2211yescharacteristic
151#1973C2211yescharacteristic
152#1973C2211yescharacteristic
153#1973C2211yescharacteristic
154#1973C2211yescharacteristic, complemented
155#1973C2211yescharacteristic, complemented
156#1972C2211yescharacteristic
157#1971C2211yescharacteristic, complemented
158#1971C2211yescharacteristic, complemented
159#1968C2211yescharacteristic, complemented
160#1961C2211yescharacteristic
161#1959C2211yescharacteristic, complemented
162#1958C2211yescharacteristic
163#1955C2211yescharacteristic
164#1955C2211yescharacteristic, complemented
165#1954C2211yescharacteristic
166#1944C2211yescharacteristic, complemented
167#1940C2211yescharacteristic, complemented
168#1936C2211yescharacteristic
169#1936C2211yescharacteristic
170#1936C2211yescharacteristic, complemented
171#1935C2211yescharacteristic, complemented
172#1933C2211yescharacteristic, complemented
173#1926C2211yescharacteristic
174#1924C2211yescharacteristic
175#1924C2211yescharacteristic, complemented
176#1918C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1892C2211yescharacteristic
179#1879C2211yescharacteristic, complemented
180#1878C2211yescharacteristic, complemented
181#1877C2211yescharacteristic
182#1877C2211yescharacteristic
183#1874C2211yescharacteristic
184#1873C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic
187#1863C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1852C2211yescharacteristic, complemented
191#1836C2211yescharacteristic, complemented
192#1808C2211yescharacteristic
193#1804C2211yescharacteristic
194#1788C2211yescharacteristic
195#1787C2211yescharacteristic
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1771C2211yescharacteristic, complemented
199#1763C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1752C2211yescharacteristic
202#1749C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×SD16—42no—
210C22×SD16—42no—
211C22×SD16—42no—
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C23×C8C2311yescharacteristic
224#550—42no—
225#550—42no—
226#546—42no—
227#546—42no—
228C2×#127—21no—
229C2×#127C2311yescharacteristic
230C2×#127C2311yescharacteristic
231C2×#124C2311yescharacteristic
232C2×#124C2311yescharacteristic
233C2×#124C2311yescharacteristic
234C2×#123—21no—
235C2×#123—21no—
236C2×#123—21no—
237C2×C22⋊Q8C2311yescharacteristic
238C2×C22⋊Q8C2311yescharacteristic
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121D411yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#120—21no—
258C2×#120—21no—
259C2×#120—21no—
260C2×#120—21no—
261C2×C4×Q8C2311yescharacteristic
262C2×C4×D4—21no—
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×#117C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C22⋊C4—21no—
271C22×C42C2311yescharacteristic
272#496—42no—
273#496—42no—
274#485—42no—
275#482—42no—
276#481—42no—
277#468—42no—
278#468—42no—
279#466—42no—
280#464—42no—
281#463—42no—
282#452—42no—
283#452—42no—
284#452—42no—
285#452—42no—
286#451—42no—
287#449—42no—
288#449—42no—
289#448—42no—
290#447—42no—
291C4×D8—42no—
292#435—42no—
293#432—42no—
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#107C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306#417—42no—
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×#97C2311yescharacteristic
350C2×#97C2311yescharacteristic
351C2×#97C2311yescharacteristic
352C2×#97C2311yescharacteristic
353C2×#97C2311yescharacteristic
354C2×C4×C8C2311yescharacteristic
355#401—21no—
356#401—21no—
357#400—21no—
358#400—21no—
359#400—21no—
360#399—21no—
361#399—21no—
362#399—21no—
363#398—21no—
364#398—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#396—21no—
373#396—21no—
374#395—21no—
375#395—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#393—21no—
386#393—21no—
387#393—21no—
388#393—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392—21no—
398#392—21no—
399#391C2311yescharacteristic
400#391C2311yescharacteristic
401#391C2311yescharacteristic
402#391C2311yescharacteristic
403#391C2311yescharacteristic
404#391C2311yescharacteristic
405#391C2311yescharacteristic
406#391C2311yescharacteristic
407#390—21no—
408#390—21no—
409#390—21no—
410#390—21no—
411#390—21no—
412#390—21no—
413#390D411yescharacteristic
414#390C2311yescharacteristic
415#390C2311yescharacteristic
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#389D411yescharacteristic
422#389C2311yescharacteristic
423#389C2311yescharacteristic
424#389C2311yescharacteristic
425#389C2311yescharacteristic
426#389C2311yescharacteristic
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388D411yescharacteristic
436#388D411yescharacteristic
437#387—21no—
438#387—21no—
439#387—21no—
440#387—21no—
441#387—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386D411yescharacteristic
460#386D411yescharacteristic
461#385—21no—
462#385—21no—
463#385—21no—
464#385—21no—
465#385—21no—
466#385—21no—
467#384C2311yescharacteristic
468#383—21no—
469#382C2311yescharacteristic
470#382C2311yescharacteristic
471#381—21no—
472#381—21no—
473#381—21no—
474#381—21no—
475#380—21no—
476#380—21no—
477#380D411yescharacteristic
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#379—21no—
484C4×C4⋊C4C2311yescharacteristic
485C4×C4⋊C4C2311yescharacteristic
486C4×C22⋊C4—21no—
487C4×C22⋊C4—21no—
488C4×C22⋊C4C2311yescharacteristic
489C4×C22⋊C4C2311yescharacteristic
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—
521C22×Q8—21no—
522C22×Q8—41no—
523C22×Q8—41no—
524C22×Q8—41no—
525C22×Q8—41no—
526C22×Q8—41no—
527C22×Q8—41no—
528C22×Q8C2411yescharacteristic
529C22×Q8C2411yescharacteristic
530C22×Q8C2411yescharacteristic
531C22×D4—21no—
532C22×D4—22no—
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—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4C2×D411yescharacteristic
553C22×D4C2×D411yescharacteristic
554C22×D4C2×D411yescharacteristic
555C22×D4C2411yescharacteristic
556C22×D4C2411yescharacteristic
557C22×D4C2411yescharacteristic
558C22×D4C2411yescharacteristic
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—21no—
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4C2×D411yescharacteristic
566C23×C4C2×D411yescharacteristic
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C2×Q16—22no—
571C2×Q16—22no—
572C2×Q16—41no—
573C2×Q16—41no—
574C2×Q16—41no—
575C2×Q16—41no—
576C2×SD16—22no—
577C2×SD16—22no—
578C2×SD16—22no—
579C2×SD16—22no—
580C2×SD16—22no—
581C2×SD16—22no—
582C2×SD16—22no—
583C2×SD16—22no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×SD16—416no—
598C2×D8—22no—
599C2×D8—22no—
600C2×D8—22no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C2×M16—22no—
608C2×M16—41no—
609C2×M16—41no—
610C22×C8—22no—
611C22×C8—22no—
612C22×C8—41no—
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621#127—22no—
622#127—41no—
623#127—41no—
624#127—41no—
625#127—44no—
626#124—22no—
627#124—41no—
628#124—41no—
629#124—41no—
630#124—41no—
631#124—41no—
632#123—44no—
633#123—82no—
634#123—82no—
635C22⋊Q8—22no—
636C22⋊Q8—41no—
637C22⋊Q8—41no—
638C22⋊Q8—41no—
639C22⋊Q8—41no—
640C22⋊Q8—41no—
641C22⋊Q8—41no—
642C22⋊Q8—41no—
643C22⋊Q8—41no—
644C22⋊Q8—41no—
645#121—22no—
646#121—42no—
647#121—41no—
648#121—41no—
649#121—41no—
650#121—41no—
651#121—41no—
652#121—44no—
653#121—44no—
654#121—44no—
655#121—44no—
656#121—41no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—41no—
663#121—41no—
664#121—41no—
665#121—41no—
666#121—82no—
667#121—82no—
668#120—44no—
669#120—44no—
670#120—82no—
671#120—82no—
672C4×Q8—22no—
673C4×Q8—41no—
674C4×D4—22no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—44no—
685#117—41no—
686#117—41no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—41no—
702C2×C4⋊C4—41no—
703C2×C4⋊C4C2×D411yescharacteristic
704C2×C4⋊C4C2×D411yescharacteristic
705C2×C4⋊C4C2×D411yescharacteristic
706C2×C4⋊C4C2×D411yescharacteristic
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
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—44no—
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C42—21no—
770C2×C42—21no—
771C2×C42—21no—
772C2×C42—41no—
773C2×C42—41no—
774C2×C42C2×D411yescharacteristic
775C2×C42C2×D411yescharacteristic
776C2×C42C2411yescharacteristic
777C2×C42C2411yescharacteristic
778C2×C42C2411yescharacteristic
779C2×C42C2411yescharacteristic
780#107—22no—
781#107—41no—
782#107—41no—
783#107—41no—
784#107—41no—
785#106—22no—
786#106—41no—
787#106—41no—
788C4⋊C8—22no—
789C4⋊C8—41no—
790C4⋊C8—41no—
791C4⋊C8—41no—
792#103—22no—
793#103—22no—
794#103—22no—
795#103—22no—
796#103—22no—
797#103—41no—
798#103—41no—
799#103—41no—
800#103—41no—
801#103—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#102—22no—
806#102—22no—
807#102—22no—
808#102—22no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823#102—41no—
824C22⋊C8—22no—
825C22⋊C8—22no—
826C22⋊C8—22no—
827C22⋊C8—22no—
828C22⋊C8—22no—
829C22⋊C8—22no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833C22⋊C8—41no—
834#97—22no—
835#97—41no—
836#97—41no—
837#97—41no—
838#97—41no—
839C4×C8—41no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
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#95C2×D411yescharacteristic
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874#95C2×D411yescharacteristic
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877C24—21no—
878C24—21no—
879C24—21no—
880C24—21no—
881C24—42no—
882C24—42no—
883C24—81no—
884C24—81no—
885C24—81no—
886C24—81no—
887C24—81no—
888C24C22×D411yescharacteristic
889C24C22×D411yescharacteristic
890C24C22×D411yescharacteristic
891#41—44no—
892#41—82no—
893#41—82no—
894#41—82no—
895#41—82no—
896#41—82no—
897#41—82no—
898#41—82no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×Q8—44no—
917C2×Q8—81no—
918C2×Q8—81no—
919C2×Q8—81no—
920C2×Q8—82no—
921C2×Q8—82no—
922C2×Q8—82no—
923C2×Q8H(5,𝔽2)12yes—
924C2×D4—24no—
925C2×D4—22no—
926C2×D4—22no—
927C2×D4—21no—
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—41no—
951C2×D4—41no—
952C2×D4—41no—
953C2×D4—41no—
954C2×D4—41no—
955C2×D4—41no—
956C2×D4—41no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—44no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—82no—
982C2×D4—82no—
983C2×D4—82no—
984C2×D4—81no—
985C2×D4—81no—
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—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4H(5,𝔽2)12yes—
1006C22×C4—21no—
1007C22×C4—24no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
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—41no—
1038C22×C4—41no—
1039C22×C4—41no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—42no—
1044C22×C4—42no—
1045C22×C4—42no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4—81no—
1051C22×C4—81no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4—81no—
1059C22×C4—81no—
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D411yescharacteristic
1069C22×C4C22×D411yescharacteristic
1070C22×C4C22×D411yescharacteristic
1071C22×C4C2511yescharacteristic
1072Q16—82no—
1073Q16—82no—
1074SD16—44no—
1075SD16—44no—
1076SD16—44no—
1077SD16—44no—
1078SD16—82no—
1079SD16—82no—
1080SD16—82no—
1081D8—44no—
1082D8—82no—
1083D8—82no—
1084M16—82no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—44no—
1107C2×C8H(5,𝔽2)12yes—
1108C2×C8H(5,𝔽2)12yes—
1109C2×C8H(5,𝔽2)12yes—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—21no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—42no—
1134C4⋊C4—42no—
1135C4⋊C4—42no—
1136C4⋊C4—42no—
1137C4⋊C4—81no—
1138C4⋊C4—81no—
1139C4⋊C4—81no—
1140C4⋊C4—81no—
1141C4⋊C4—81no—
1142C4⋊C4—81no—
1143C4⋊C4—81no—
1144C4⋊C4—81no—
1145C4⋊C4—81no—
1146C4⋊C4—81no—
1147C22⋊C4—22no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
1150C22⋊C4—41no—
1151C22⋊C4—41no—
1152C22⋊C4—41no—
1153C22⋊C4—41no—
1154C22⋊C4—41no—
1155C22⋊C4—41no—
1156C22⋊C4—41no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C42—21no—
1199C42—21no—
1200C42—21no—
1201C42—21no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—41no—
1207C42—41no—
1208C42—42no—
1209C42—81no—
1210C42—81no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—22no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—84no—
1260C23—84no—
1261C23—162no—
1262C23—162no—
1263C23—162no—
1264C23—162no—
1265C23—162no—
1266C23#57512yes—
1267C23C23×D411yescharacteristic
1268Q8—22no—
1269Q8—22no—
1270Q8—41no—
1271Q8—41no—
1272Q8—41no—
1273Q8—41no—
1274Q8—41no—
1275Q8—41no—
1276Q8—41no—
1277Q8—41no—
1278Q8—41no—
1279Q8—41no—
1280Q8—84no—
1281D4—22no—
1282D4—22no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—82no—
1298D4—82no—
1299D4—84no—
1300D4—82no—
1301D4—84no—
1302D4—84no—
1303D4—84no—
1304D4—162no—
1305D4—162no—
1306D4—162no—
1307D4—162no—
1308D4—162no—
1309D4—162no—
1310D4—162no—
1311D4—162no—
1312D4—162no—
1313D4—162no—
1314D4—162no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—22no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
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—84no—
1397C2×C4—82no—
1398C2×C4—82no—
1399C2×C4—84no—
1400C2×C4—84no—
1401C2×C4—162no—
1402C2×C4—162no—
1403C2×C4—162no—
1404C2×C4C2×H(5,𝔽2)11yescharacteristic
1405C2×C4C2×H(5,𝔽2)11yescharacteristic
1406C2×C4C2×H(5,𝔽2)11yescharacteristic
1407C2×C4C2×H(5,𝔽2)11yescharacteristic
1408C2×C4C2×H(5,𝔽2)11yescharacteristic
1409C2×C4#58511yescharacteristic
1410C8—22no—
1411C8—22no—
1412C8—22no—
1413C8—41no—
1414C8—41no—
1415C8—41no—
1416C8—41no—
1417C8—41no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—42no—
1432C22—42no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—42no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—168no—
1468C22#348411yescharacteristic
1469C22#349611yescharacteristic
1470C22#349811yescharacteristic
1471C22C2×#57511yescharacteristic
1472C22#358511yescharacteristic
1473C22#358511yescharacteristic
1474C22#358611yescharacteristic
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—42no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4—81no—
1495C4—81no—
1496C4—81no—
1497C4—81no—
1498C4#353211yescharacteristic
1499C4#353411yescharacteristic
1500C4#354211yescharacteristic
1501C4#354311yescharacteristic
1502C2—42no—
1503C2—81no—
1504C2—81no—
1505C2—82no—
1506C2—161no—
1507C2—161no—
1508C2—161no—
1509C2#4785311yescharacteristic
1510C2#6158011yescharacteristic
1511C2#6167511yescharacteristic
1512C2#6228511yescharacteristic
1513C2#6229811yescharacteristic
1514C2#6244611yescharacteristic
1515C2#6244911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45687C2semidirect
2. #39957C2semidirect
3. #31953C2semidirect
4. #31925C2semidirect
5. #31310C2semidirect
6. #31219C2semidirect
7. #31200C2semidirect
8. #31067C2semidirect
9. #31032C2semidirect
10. #31031C2semidirect
11. #31014C2semidirect
12. #30722C2semidirect
13. #30560C2semidirect
14. #30463C2semidirect
15. #30327C2semidirect
16. #29814C2semidirect
17. #28899C2semidirect
18. #28851C2semidirect
19. #28366C2semidirect
20. #28318C2semidirect
21. #26969C2semidirect
22. #26258C2semidirect
23. #25783C2semidirect
24. #25765C2semidirect
25. #25117C2semidirect
26. #24511C2semidirect
27. #24443C2semidirect
28. #24269C2semidirect
29. #24245C2semidirect
30. #23852C2semidirect
31. #23086C2semidirect
38. C2×#485C22semidirect
39. C2×#482C22semidirect
43. C2×#464C22semidirect
47. C2×#452C22semidirect
48. C2×#452C22semidirect
50. C2×#449C22semidirect
56. C2×#432C22semidirect
57. C2×#417C22semidirect
59. #2855C22semidirect
60. #2850C22semidirect
74. #2540C22semidirect
77. #2514C22semidirect
78. #2503C22semidirect
81. #2447C22semidirect
86. #2427C22semidirect
89. #2417C22semidirect
101. #2097C22semidirect
103. #2092C22semidirect
104. #2085C22semidirect
105. #2083C22semidirect
107. #2072C22semidirect
108. #2068C22semidirect
109. #2068C22semidirect
111. #2066C22semidirect
113. #2056C22semidirect
116. #2055C22semidirect
117. #2055C22semidirect
119. #2054C22semidirect
120. #2042C22semidirect
124. #2036C22semidirect
125. #2035C22semidirect
130. #2033C22semidirect
133. #2015C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
148. #1999C22semidirect
154. #1973C22semidirect
155. #1973C22semidirect
157. #1971C22semidirect
158. #1971C22semidirect
159. #1968C22semidirect
161. #1959C22semidirect
164. #1955C22semidirect
166. #1944C22semidirect
167. #1940C22semidirect
170. #1936C22semidirect
171. #1935C22semidirect
172. #1933C22semidirect
175. #1924C22semidirect
176. #1918C22semidirect
177. #1895C22semidirect
179. #1879C22semidirect
180. #1878C22semidirect
184. #1873C22semidirect
185. #1870C22semidirect
187. #1863C22semidirect
188. #1862C22semidirect
189. #1854C22semidirect
190. #1852C22semidirect
191. #1836C22semidirect
198. #1771C22semidirect
199. #1763C22semidirect
200. #1753C22semidirect
202. #1749C22semidirect

Maximal subgroups

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

subgroupindex
#456872
#399572
#319532
#319252
#313102
#312192
#312002
#310672
#310322
#310312
#310142
#307222
#305602
#304632
#303272
#298142
#288992
#288512
#283662
#283182
#269692
#262582
#257832
#257652
#251172
#245112
#244432
#242692
#242452
#238522
#230862