Finite Group Databasebeta

← #7236279

Subgroups — #7236279

Order 512.

2050 conjugacy classes of subgroups.

The subgroup lattice has 1559 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39856C211yesmaximal, characteristic, complemented
2#39358C211yesmaximal, characteristic, complemented
3#32776C211yesmaximal, characteristic, complemented
4#31729C211yesmaximal, characteristic, complemented
5#31720C211yesmaximal, characteristic, complemented
6#31662C211yesmaximal, characteristic, complemented
7#31637C211yesmaximal, characteristic, complemented
8#31406C211yesmaximal, characteristic, complemented
9#31382C211yesmaximal, characteristic, complemented
10#31372C211yesmaximal, characteristic, complemented
11#31369C211yesmaximal, characteristic, complemented
12#30460C211yesmaximal, characteristic, complemented
13#30460C211yesmaximal, characteristic, complemented
14#30424C211yesmaximal, characteristic, complemented
15#30408C211yesmaximal, characteristic, complemented
16#29110C211yesmaximal, characteristic, complemented
17#27279C211yesmaximal, characteristic, complemented
18#27264C211yesmaximal, characteristic, complemented
19#26976C211yesmaximal, characteristic, complemented
20#26969C211yesmaximal, characteristic, complemented
21#26178C211yesmaximal, characteristic, complemented
22#26162C211yesmaximal, characteristic, complemented
23#25605C211yesmaximal, characteristic, complemented
24#24448C211yesmaximal, characteristic, complemented
25#24432C211yesmaximal, characteristic, complemented
26#24248C211yesmaximal, characteristic, complemented
27#24236C211yesmaximal, characteristic, complemented
28#23973C211yesmaximal, characteristic, complemented
29#23963C211yesmaximal, characteristic, complemented
30#23936C211yesmaximal, characteristic, complemented
31#22335C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic, complemented
33C2×D42C2211yescharacteristic
34C2×D42C2211yescharacteristic
35C2×#534—21no—
36C2×#529C2211yescharacteristic, complemented
37C2×#496C2211yescharacteristic, complemented
38C2×#490C2211yescharacteristic, complemented
39C2×#468C2211yescharacteristic
40C2×#465C2211yescharacteristic
41C2×#459C2211yescharacteristic
42C2×#459C2211yescharacteristic
43C2×#450C2211yescharacteristic
44C2×#450C2211yescharacteristic, complemented
45C2×#450C2211yescharacteristic, complemented
46C2×#447C2211yescharacteristic
47C2×#447C2211yescharacteristic, complemented
48C2×#447C2211yescharacteristic, complemented
49C2×#442C2211yescharacteristic, complemented
50C2×C4×D8C2211yescharacteristic, complemented
51C2×#418C2211yescharacteristic, complemented
52C22×#102C2211yescharacteristic, complemented
53#2856C2211yescharacteristic
54#2851C2211yescharacteristic, complemented
55#2722—21no—
56#2695—21no—
57#2691—21no—
58#2682—21no—
59#2679—21no—
60#2678—21no—
61#2678—21no—
62#2671—21no—
63#2630—21no—
64#2617—21no—
65#2565C2211yescharacteristic, complemented
66#2537C2211yescharacteristic, complemented
67#2536C2211yescharacteristic, complemented
68#2535C2211yescharacteristic, complemented
69#2498—21no—
70#2485—21no—
71#2445C2211yescharacteristic
72#2445C2211yescharacteristic
73#2442C2211yescharacteristic, complemented
74#2441C2211yescharacteristic, complemented
75#2433C2211yescharacteristic
76#2433C2211yescharacteristic
77#2427C2211yescharacteristic, complemented
78#2427C2211yescharacteristic, complemented
79#2422C2211yescharacteristic
80#2422C2211yescharacteristic
81#2417C2211yescharacteristic, complemented
82#2416C2211yescharacteristic
83#2416C2211yescharacteristic
84#2415C2211yescharacteristic, complemented
85#2410—21no—
86#2410—21no—
87#2408C2211yescharacteristic
88#2408C2211yescharacteristic
89#2349C2211yescharacteristic, complemented
90#2325—21no—
91C4×#121C2211yescharacteristic
92C2×#390C2211yescharacteristic
93#2101C2211yescharacteristic, complemented
94#2099C2211yescharacteristic, complemented
95#2092C2211yescharacteristic, complemented
96#2092C2211yescharacteristic, complemented
97#2088C2211yescharacteristic, complemented
98#2087C2211yescharacteristic, complemented
99#2084C2211yescharacteristic, complemented
100#2083C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2075C2211yescharacteristic, complemented
103#2073C2211yescharacteristic, complemented
104#2073C2211yescharacteristic, complemented
105#2073C2211yescharacteristic, complemented
106#2071C2211yescharacteristic, complemented
107#2055C2211yescharacteristic, complemented
108#2055C2211yescharacteristic, complemented
109#2041C2211yescharacteristic
110#2041C2211yescharacteristic
111#2041C2211yescharacteristic, complemented
112#2041C2211yescharacteristic, complemented
113#2036C2211yescharacteristic, complemented
114#2035C2211yescharacteristic, complemented
115#2034C2211yescharacteristic
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic, complemented
120#2033C2211yescharacteristic, complemented
121#2025C2211yescharacteristic, complemented
122#2025C2211yescharacteristic, complemented
123#2025C2211yescharacteristic, complemented
124#2025C2211yescharacteristic, complemented
125#2025C2211yescharacteristic, complemented
126#2025C2211yescharacteristic, complemented
127#2014C2211yescharacteristic
128#2014C2211yescharacteristic
129#2012C2211yescharacteristic, complemented
130#2012C2211yescharacteristic, complemented
131#2000C2211yescharacteristic, complemented
132#2000C2211yescharacteristic, complemented
133#2000C2211yescharacteristic, complemented
134#2000C2211yescharacteristic, complemented
135#1999C2211yescharacteristic
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic, complemented
138#1999C2211yescharacteristic, complemented
139#1999C2211yescharacteristic, complemented
140#1999C2211yescharacteristic, complemented
141#1992C2211yescharacteristic, complemented
142#1961C2211yescharacteristic
143#1959C2211yescharacteristic, complemented
144#1957C2211yescharacteristic
145#1955C2211yescharacteristic, complemented
146#1954C2211yescharacteristic, complemented
147#1936C2211yescharacteristic, complemented
148#1936C2211yescharacteristic, complemented
149#1936C2211yescharacteristic, complemented
150#1936C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1935C2211yescharacteristic, complemented
153#1934C2211yescharacteristic, complemented
154#1933C2211yescharacteristic, complemented
155#1924C2211yescharacteristic, complemented
156#1924C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1916C2211yescharacteristic, complemented
159#1895C2211yescharacteristic, complemented
160#1895C2211yescharacteristic, complemented
161#1893C2211yescharacteristic, complemented
162#1893C2211yescharacteristic, complemented
163#1880C2211yescharacteristic, complemented
164#1880C2211yescharacteristic, complemented
165#1880C2211yescharacteristic, complemented
166#1880C2211yescharacteristic, complemented
167#1879C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1875C2211yescharacteristic
176#1875C2211yescharacteristic, complemented
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1870C2211yescharacteristic, complemented
182#1870C2211yescharacteristic, complemented
183#1869C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1862C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1825C2211yescharacteristic, complemented
190#1824C2211yescharacteristic, complemented
191#1823C2211yescharacteristic, complemented
192#1823C2211yescharacteristic, complemented
193#1817C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1802C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1752C2211yescharacteristic, complemented
202#1749C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C23×C8C2311yescharacteristic
218#553—42no—
219#553—42no—
220D42—42no—
221D42—42no—
222D42—42no—
223D42—42no—
224#534—48no—
225C2×#127C2311yescharacteristic
226C2×#127C2311yescharacteristic
227C2×#127C2311yescharacteristic
228#529—42no—
229#529—42no—
230C2×#126—21no—
231C2×#126—21no—
232C2×#125C2311yescharacteristic
233C2×#125C2311yescharacteristic
234C2×#124C2311yescharacteristic
235C2×#123—21no—
236C2×#123—21no—
237C2×#123—21no—
238C2×#123—21no—
239C2×#123—21no—
240C2×#123—21no—
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×#121D411yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#120—21no—
263C2×#120—21no—
264C2×#120—21no—
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×#120—21no—
270C2×#120—21no—
271C2×#120—21no—
272C2×C4×Q8C2311yescharacteristic
273C2×C4×D4—21no—
274C2×C4×D4—21no—
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×#117—21no—
284C2×#117C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C22⋊C4—21no—
288C22×C22⋊C4—21no—
289C22×C42C2311yescharacteristic
290#496—42no—
291#490—42no—
292#468—42no—
293#465—42no—
294#459—42no—
295#459—42no—
296#450—42no—
297#450—42no—
298#450—42no—
299#447—42no—
300#447—42no—
301#447—42no—
302#442—42no—
303C4×D8—42no—
304C2×#107C2311yescharacteristic
305C2×#107C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310#418—42no—
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#102—42no—
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
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×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×#97C2311yescharacteristic
355C2×#97C2311yescharacteristic
356C2×#97C2311yescharacteristic
357C2×C4×C8C2311yescharacteristic
358#400—21no—
359#399—21no—
360#398—21no—
361#398—21no—
362#398—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#396—21no—
372#396—21no—
373#396—21no—
374#396—21no—
375#394—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#394—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392—21no—
398#391C2311yescharacteristic
399#391C2311yescharacteristic
400#390—21no—
401#390—21no—
402#390—21no—
403#390—21no—
404#390D411yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#390C2311yescharacteristic
413#389—21no—
414#389—21no—
415#389D411yescharacteristic
416#389C2311yescharacteristic
417#389C2311yescharacteristic
418#389C2311yescharacteristic
419#389C2311yescharacteristic
420#389C2311yescharacteristic
421#389C2311yescharacteristic
422#388—21no—
423#388—21no—
424#388—21no—
425#388D411yescharacteristic
426#388D411yescharacteristic
427#387—21no—
428#387—21no—
429#387—21no—
430#387—21no—
431#387—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386D411yescharacteristic
442#386D411yescharacteristic
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#385—21no—
450#384C2311yescharacteristic
451#384C2311yescharacteristic
452#382C2311yescharacteristic
453#382C2311yescharacteristic
454#380—21no—
455#380—21no—
456#380—21no—
457#380—21no—
458#380—21no—
459#380—21no—
460#380D411yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#379—21no—
468#379—21no—
469C4×C4⋊C4C2311yescharacteristic
470C4×C22⋊C4C2311yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
472C2×#95—21no—
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503C25—21no—
504C25—21no—
505C25—21no—
506C22×Q8C2411yescharacteristic
507C22×D4—22no—
508C22×D4—22no—
509C22×D4—22no—
510C22×D4—22no—
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—44no—
544C22×D4—44no—
545C22×D4—44no—
546C22×D4—44no—
547C22×D4—82no—
548C22×D4—82no—
549C22×D4C2×D411yescharacteristic
550C22×D4C2×D411yescharacteristic
551C22×D4C2×D411yescharacteristic
552C22×D4C2411yescharacteristic
553C22×D4C2411yescharacteristic
554C22×D4C2411yescharacteristic
555C22×D4C2411yescharacteristic
556C22×D4C2411yescharacteristic
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—21no—
562C23×C4—21no—
563C23×C4—21no—
564C23×C4C2×D411yescharacteristic
565C23×C4C2×D411yescharacteristic
566C23×C4C2411yescharacteristic
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×D8—22no—
582C2×D8—22no—
583C2×D8—22no—
584C2×D8—22no—
585C2×D8—22no—
586C2×D8—22no—
587C2×D8—41no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C2×D8—41no—
592C2×D8—41no—
593C2×M16—41no—
594C2×M16—41no—
595C2×M16—41no—
596C22×C8—41no—
597C22×C8—41no—
598C22×C8—41no—
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607#127—22no—
608#127—22no—
609#127—41no—
610#127—41no—
611#127—41no—
612#127—41no—
613#126—44no—
614#126—44no—
615#125—22no—
616#125—41no—
617#125—41no—
618#125—41no—
619#124—22no—
620#124—41no—
621#123—44no—
622#123—44no—
623#123—44no—
624#123—44no—
625#123—44no—
626#123—44no—
627C22⋊Q8—22no—
628C22⋊Q8—41no—
629C22⋊Q8—41no—
630C22⋊Q8—41no—
631C22⋊Q8—41no—
632C22⋊Q8—41no—
633#121—24no—
634#121—22no—
635#121—22no—
636#121—22no—
637#121—22no—
638#121—22no—
639#121—44no—
640#121—41no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—41no—
645#121—41no—
646#121—41no—
647#121—41no—
648#121—41no—
649#121—44no—
650#121—44no—
651#121—44no—
652#121—44no—
653#121—44no—
654#121—44no—
655#121—41no—
656#121—41no—
657#121—41no—
658#121—41no—
659#121—82no—
660#120—44no—
661#120—44no—
662#120—44no—
663#120—44no—
664#120—44no—
665#120—44no—
666#120—44no—
667#120—44no—
668#120—82no—
669#120—82no—
670C4×Q8—41no—
671C4×Q8—41no—
672C4×D4—22no—
673C4×D4—22no—
674C4×D4—22no—
675C4×D4—22no—
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—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—44no—
689C4×D4—44no—
690#117—22no—
691#117—41no—
692#117—44no—
693C2×C4⋊C4—22no—
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—21no—
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—41no—
715C2×C4⋊C4—41no—
716C2×C4⋊C4—41no—
717C2×C4⋊C4C2×D411yescharacteristic
718C2×C4⋊C4C2×D411yescharacteristic
719C2×C4⋊C4C2×D411yescharacteristic
720C2×C4⋊C4C2×D411yescharacteristic
721C2×C4⋊C4C2×D411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
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—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—44no—
775C2×C22⋊C4—82no—
776C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
787C2×C42—21no—
788C2×C42—41no—
789C2×C42—41no—
790C2×C42C2×D411yescharacteristic
791C2×C42C2×D411yescharacteristic
792C2×C42C2411yescharacteristic
793C2×C42C2411yescharacteristic
794C2×C42C2411yescharacteristic
795C2×C42C2411yescharacteristic
796#107—41no—
797#107—41no—
798#106—41no—
799#106—41no—
800C4⋊C8—41no—
801C4⋊C8—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#103—41no—
806#102—22no—
807#102—22no—
808#102—22no—
809#102—22no—
810#102—22no—
811#102—22no—
812#102—22no—
813#102—22no—
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—
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—
834C22⋊C8—41no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837C22⋊C8—41no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844#97—41no—
845#97—41no—
846#97—41no—
847C4×C8—41no—
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#95C2×D411yescharacteristic
869#95C2×D411yescharacteristic
870#95C2×D411yescharacteristic
871#95C2×D411yescharacteristic
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874C24—24no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—21no—
879C24—21no—
880C24—42no—
881C24—42no—
882C24—42no—
883C24—42no—
884C24—42no—
885C24—42no—
886C24—81no—
887C24—81no—
888C24—81no—
889C24—81no—
890C24—81no—
891C24—81no—
892C24—81no—
893C24—81no—
894C24—81no—
895C24—81no—
896C24—81no—
897C24—81no—
898C24—81no—
899C24—81no—
900C24C22×D411yescharacteristic
901C24C22×D411yescharacteristic
902C24C22×D411yescharacteristic
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×D4—22no—
910C2×D4—24no—
911C2×D4—22no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
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—41no—
940C2×D4—41no—
941C2×D4—41no—
942C2×D4—41no—
943C2×D4—41no—
944C2×D4—41no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—44no—
955C2×D4—44no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—82no—
991C2×D4—82no—
992C2×D4—82no—
993C2×D4—82no—
994C2×D4—82no—
995C2×D4—82no—
996C2×D4—82no—
997C2×D4—82no—
998C2×D4—82no—
999C2×D4—82no—
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—816no—
1011C2×D4—816no—
1012C2×D4AGL(1,ℤ/8)14yes—
1013C2×D4H(5,𝔽2)12yes—
1014C2×D4H(5,𝔽2)12yes—
1015C2×D4H(5,𝔽2)12yes—
1016C22×C4—21no—
1017C22×C4—24no—
1018C22×C4—22no—
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—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—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—42no—
1053C22×C4—42no—
1054C22×C4—42no—
1055C22×C4—42no—
1056C22×C4—42no—
1057C22×C4—42no—
1058C22×C4—42no—
1059C22×C4—81no—
1060C22×C4—81no—
1061C22×C4—81no—
1062C22×C4—81no—
1063C22×C4—81no—
1064C22×C4—81no—
1065C22×C4—81no—
1066C22×C4—81no—
1067C22×C4—81no—
1068C22×C4—81no—
1069C22×C4—81no—
1070C22×C4—81no—
1071C22×C4—81no—
1072C22×C4C22×D411yescharacteristic
1073C22×C4C22×D411yescharacteristic
1074C22×C4C22×D411yescharacteristic
1075C22×C4C22×D411yescharacteristic
1076C22×C4C22×D411yescharacteristic
1077C22×C4C22×D411yescharacteristic
1078C22×C4C22×D411yescharacteristic
1079C22×C4C22×D411yescharacteristic
1080C22×C4C22×D411yescharacteristic
1081C22×C4C22×D411yescharacteristic
1082C22×C4C22×D411yescharacteristic
1083C22×C4C2511yescharacteristic
1084SD16—82no—
1085SD16—82no—
1086SD16—82no—
1087SD16—82no—
1088D8—44no—
1089D8—44no—
1090D8—82no—
1091D8—82no—
1092M16—82no—
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—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—82no—
1118C4⋊C4—22no—
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—21no—
1129C4⋊C4—21no—
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—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—42no—
1143C4⋊C4—42no—
1144C4⋊C4—42no—
1145C4⋊C4—42no—
1146C4⋊C4—42no—
1147C4⋊C4—42no—
1148C4⋊C4—42no—
1149C4⋊C4—42no—
1150C4⋊C4—42no—
1151C4⋊C4—42no—
1152C4⋊C4—42no—
1153C4⋊C4—81no—
1154C4⋊C4—81no—
1155C4⋊C4—81no—
1156C4⋊C4—81no—
1157C4⋊C4—81no—
1158C4⋊C4—81no—
1159C4⋊C4—81no—
1160C4⋊C4—81no—
1161C4⋊C4—81no—
1162C4⋊C4H(5,𝔽2)12yes—
1163C22⋊C4—24no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
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—42no—
1200C22⋊C4—42no—
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—
1215C42—21no—
1216C42—21no—
1217C42—21no—
1218C42—21no—
1219C42—21no—
1220C42—21no—
1221C42—21no—
1222C42—21no—
1223C42—41no—
1224C42—41no—
1225C42—42no—
1226C42—42no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—22no—
1243C23—21no—
1244C23—22no—
1245C23—22no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—48no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
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—84no—
1283C23—84no—
1284C23—84no—
1285C23—84no—
1286C23—84no—
1287C23—84no—
1288C23—162no—
1289C23—162no—
1290C23—162no—
1291C23—162no—
1292C23—162no—
1293C23—162no—
1294C23—162no—
1295C23—162no—
1296C23—162no—
1297C23—162no—
1298C23—162no—
1299C23—162no—
1300C23—162no—
1301C23—162no—
1302C23C2×AGL(1,ℤ/8)12yes—
1303C23C2×AGL(1,ℤ/8)12yes—
1304C23C23×D411yescharacteristic
1305Q8—41no—
1306Q8—41no—
1307Q8—41no—
1308Q8—41no—
1309D4—22no—
1310D4—22no—
1311D4—22no—
1312D4—22no—
1313D4—22no—
1314D4—22no—
1315D4—44no—
1316D4—44no—
1317D4—41no—
1318D4—41no—
1319D4—41no—
1320D4—41no—
1321D4—41no—
1322D4—41no—
1323D4—41no—
1324D4—41no—
1325D4—41no—
1326D4—41no—
1327D4—41no—
1328D4—41no—
1329D4—41no—
1330D4—41no—
1331D4—84no—
1332D4—82no—
1333D4—84no—
1334D4—84no—
1335D4—84no—
1336D4—84no—
1337D4—84no—
1338D4—84no—
1339D4—84no—
1340D4—84no—
1341D4—84no—
1342D4—84no—
1343D4—162no—
1344D4—162no—
1345D4—162no—
1346D4—162no—
1347D4—162no—
1348D4—162no—
1349D4—162no—
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—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—22no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
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—84no—
1428C2×C4—82no—
1429C2×C4—84no—
1430C2×C4—82no—
1431C2×C4—84no—
1432C2×C4—162no—
1433C2×C4—162no—
1434C2×C4—162no—
1435C2×C4—162no—
1436C2×C4C2×AGL(1,ℤ/8)12yes—
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
1442C2×C4#58511yescharacteristic
1443C8—41no—
1444C8—41no—
1445C8—41no—
1446C8—41no—
1447C8—41no—
1448C8—41no—
1449C8—41no—
1450C8—41no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—41no—
1470C22—42no—
1471C22—42no—
1472C22—41no—
1473C22—41no—
1474C22—42no—
1475C22—41no—
1476C22—42no—
1477C22—41no—
1478C22—42no—
1479C22—42no—
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—81no—
1507C22—168no—
1508C22—168no—
1509C22—168no—
1510C22#348411yescharacteristic
1511C22#348411yescharacteristic
1512C22#350011yescharacteristic
1513C22C22×AGL(1,ℤ/8)11yescharacteristic
1514C22#358411yescharacteristic
1515C22#358511yescharacteristic
1516C22#358511yescharacteristic
1517C4—22no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—42no—
1527C4—41no—
1528C4—41no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C4—81no—
1533C4—81no—
1534C4—81no—
1535C4—81no—
1536C4—81no—
1537C4—81no—
1538C4—81no—
1539C4#353411yescharacteristic
1540C4#353411yescharacteristic
1541C4#354211yescharacteristic
1542C4#354211yescharacteristic
1543C2—42no—
1544C2—42no—
1545C2—81no—
1546C2—82no—
1547C2—82no—
1548C2—82no—
1549C2—161no—
1550C2—161no—
1551C2#4635411yescharacteristic
1552C2#6157111yescharacteristic
1553C2#6159811yescharacteristic
1554C2#6164811yescharacteristic
1555C2#6167811yescharacteristic
1556C2#6257611yescharacteristic
1557C2#6261411yescharacteristic
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. #39856C2semidirect
2. #39358C2semidirect
3. #32776C2semidirect
4. #31729C2semidirect
5. #31720C2semidirect
6. #31662C2semidirect
7. #31637C2semidirect
8. #31406C2semidirect
9. #31382C2semidirect
10. #31372C2semidirect
11. #31369C2semidirect
12. #30460C2semidirect
13. #30460C2semidirect
14. #30424C2semidirect
15. #30408C2semidirect
16. #29110C2semidirect
17. #27279C2semidirect
18. #27264C2semidirect
19. #26976C2semidirect
20. #26969C2semidirect
21. #26178C2semidirect
22. #26162C2semidirect
23. #25605C2semidirect
24. #24448C2semidirect
25. #24432C2semidirect
26. #24248C2semidirect
27. #24236C2semidirect
28. #23973C2semidirect
29. #23963C2semidirect
30. #23936C2semidirect
31. #22335C2semidirect
32. C2×#553C22semidirect
36. C2×#529C22semidirect
37. C2×#496C22semidirect
38. C2×#490C22semidirect
44. C2×#450C22semidirect
45. C2×#450C22semidirect
47. C2×#447C22semidirect
48. C2×#447C22semidirect
49. C2×#442C22semidirect
50. C2×C4×D8C22semidirect
51. C2×#418C22semidirect
52. C22×#102C22semidirect
54. #2851C22semidirect
65. #2565C22semidirect
66. #2537C22semidirect
67. #2536C22semidirect
68. #2535C22semidirect
73. #2442C22semidirect
74. #2441C22semidirect
77. #2427C22semidirect
78. #2427C22semidirect
81. #2417C22semidirect
84. #2415C22semidirect
89. #2349C22semidirect
93. #2101C22semidirect
94. #2099C22semidirect
95. #2092C22semidirect
96. #2092C22semidirect
97. #2088C22semidirect
98. #2087C22semidirect
99. #2084C22semidirect
100. #2083C22semidirect
101. #2077C22semidirect
102. #2075C22semidirect
103. #2073C22semidirect
104. #2073C22semidirect
105. #2073C22semidirect
106. #2071C22semidirect
107. #2055C22semidirect
108. #2055C22semidirect
111. #2041C22semidirect
112. #2041C22semidirect
113. #2036C22semidirect
114. #2035C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
119. #2033C22semidirect
120. #2033C22semidirect
121. #2025C22semidirect
122. #2025C22semidirect
123. #2025C22semidirect
124. #2025C22semidirect
125. #2025C22semidirect
126. #2025C22semidirect
129. #2012C22semidirect
130. #2012C22semidirect
131. #2000C22semidirect
132. #2000C22semidirect
133. #2000C22semidirect
134. #2000C22semidirect
137. #1999C22semidirect
138. #1999C22semidirect
139. #1999C22semidirect
140. #1999C22semidirect
141. #1992C22semidirect
143. #1959C22semidirect
145. #1955C22semidirect
146. #1954C22semidirect
147. #1936C22semidirect
148. #1936C22semidirect
149. #1936C22semidirect
150. #1936C22semidirect
151. #1936C22semidirect
152. #1935C22semidirect
153. #1934C22semidirect
154. #1933C22semidirect
155. #1924C22semidirect
156. #1924C22semidirect
157. #1917C22semidirect
158. #1916C22semidirect
159. #1895C22semidirect
160. #1895C22semidirect
161. #1893C22semidirect
162. #1893C22semidirect
163. #1880C22semidirect
164. #1880C22semidirect
165. #1880C22semidirect
166. #1880C22semidirect
167. #1879C22semidirect
168. #1879C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1877C22semidirect
174. #1877C22semidirect
176. #1875C22semidirect
178. #1874C22semidirect
179. #1874C22semidirect
180. #1872C22semidirect
181. #1870C22semidirect
182. #1870C22semidirect
183. #1869C22semidirect
184. #1869C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1862C22semidirect
188. #1862C22semidirect
189. #1825C22semidirect
190. #1824C22semidirect
191. #1823C22semidirect
192. #1823C22semidirect
193. #1817C22semidirect
194. #1804C22semidirect
195. #1802C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1753C22semidirect
201. #1752C22semidirect
202. #1749C22semidirect

Maximal subgroups

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

subgroupindex
#398562
#393582
#327762
#317292
#317202
#316622
#316372
#314062
#313822
#313722
#313692
#304602
#304242
#304082
#291102
#272792
#272642
#269762
#269692
#261782
#261622
#256052
#244482
#244322
#242482
#242362
#239732
#239632
#239362
#223352