Finite Group Databasebeta

← #7514320

Subgroups — #7514320

Order 512.

3245 conjugacy classes of subgroups.

The subgroup lattice has 1798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3276C211yesmaximal, characteristic, complemented
2C2×#3266C211yesmaximal, characteristic, complemented
3C2×#3009C211yesmaximal, characteristic, complemented
4C2×#3009C211yesmaximal, characteristic, complemented
5#45321C211yesmaximal, characteristic, complemented
6#35750C211yesmaximal, characteristic
7#31067C211yesmaximal, characteristic, complemented
8#30514C211yesmaximal, characteristic, complemented
9#30467C211yesmaximal, characteristic, complemented
10#30450C211yesmaximal, characteristic, complemented
11#25795C211yesmaximal, characteristic, complemented
12#25784C211yesmaximal, characteristic, complemented
13#25769C211yesmaximal, characteristic, complemented
14#25176C211yesmaximal, characteristic, complemented
15#25156C211yesmaximal, characteristic, complemented
16#25136C211yesmaximal, characteristic, complemented
17#25127C211yesmaximal, characteristic, complemented
18#25105C211yesmaximal, characteristic, complemented
19#25079C211yesmaximal, characteristic, complemented
20#24442C211yesmaximal, characteristic, complemented
21#24430C211yesmaximal, characteristic, complemented
22#24392C211yesmaximal, characteristic, complemented
23#24392C211yesmaximal, characteristic, complemented
24#24376C211yesmaximal, characteristic, complemented
25#24358C211yesmaximal, characteristic, complemented
26#23868C211yesmaximal, characteristic, complemented
27#23862C211yesmaximal, characteristic, complemented
28#23855C211yesmaximal, characteristic, complemented
29#22884C211yesmaximal, characteristic, complemented
30#22856C211yesmaximal, characteristic, complemented
31#22849C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×#137C2211yescharacteristic
34C22×#137C2211yescharacteristic
35C22×#137C2211yescharacteristic, complemented
36C23×SD16C2211yescharacteristic
37C23×SD16C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×D4×Q8C2211yescharacteristic, complemented
40C2×#547C2211yescharacteristic
41C2×#546C2211yescharacteristic
42C2×#546C2211yescharacteristic
43C2×#536C2211yescharacteristic
44C2×#536C2211yescharacteristic
45#3276—28no—
46#3266—28no—
47C2×#497C2211yescharacteristic, complemented
48C2×#497C2211yescharacteristic, complemented
49C2×#494C2211yescharacteristic, complemented
50C2×#470C2211yescharacteristic, complemented
51C2×#470C2211yescharacteristic, complemented
52C2×#470C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#467C2211yescharacteristic, complemented
55C2×#467C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#462C2211yescharacteristic, complemented
58C2×#461C2211yescharacteristic, complemented
59C2×#461C2211yescharacteristic, complemented
60C2×#461C2211yescharacteristic, complemented
61#3009—28no—
62#3009—28no—
63C2×#452C2211yescharacteristic
64C2×#452C2211yescharacteristic
65C2×#452C2211yescharacteristic
66C2×#452C2211yescharacteristic
67C2×#452C2211yescharacteristic
68C2×#452C2211yescharacteristic
69C2×#452C2211yescharacteristic
70C2×#452C2211yescharacteristic
71C2×#452C2211yescharacteristic, complemented
72C2×#452C2211yescharacteristic, complemented
73C2×#451C2211yescharacteristic, complemented
74C2×#451C2211yescharacteristic, complemented
75C2×#451C2211yescharacteristic, complemented
76C2×#448C2211yescharacteristic, complemented
77C2×#448C2211yescharacteristic, complemented
78C2×#450C2211yescharacteristic
79C2×#450C2211yescharacteristic
80C2×#450C2211yescharacteristic
81C2×#450C2211yescharacteristic
82C2×#450C2211yescharacteristic
83C2×#450C2211yescharacteristic
84C2×#450C2211yescharacteristic
85C2×#450C2211yescharacteristic
86C2×#440C2211yescharacteristic, complemented
87C2×C4×SD16C2211yescharacteristic, complemented
88C2×#436C2211yescharacteristic, complemented
89C2×#435C2211yescharacteristic, complemented
90C2×#418C2211yescharacteristic
91C2×#418C2211yescharacteristic
92C2×#416C2211yescharacteristic
93C2×#416C2211yescharacteristic
94C2×#408C2211yescharacteristic
95C2×#408C2211yescharacteristic
96#2680—21no—
97#2677—21no—
98#2674—21no—
99#2674—21no—
100#2616C2211yescharacteristic
101#2613—21no—
102#2551—21no—
103#2542C2211yescharacteristic, complemented
104#2461—21no—
105#2461—21no—
106#2455—21no—
107#2435C2211yescharacteristic
108#2434C2211yescharacteristic, complemented
109#2434C2211yescharacteristic, complemented
110#2432C2211yescharacteristic
111#2432C2211yescharacteristic
112#2430—21no—
113#2429C2211yescharacteristic, complemented
114#2429C2211yescharacteristic, complemented
115#2415C2211yescharacteristic, complemented
116#2415C2211yescharacteristic, complemented
117#2410—21no—
118#2410—21no—
119#2409C2211yescharacteristic, complemented
120#2408C2211yescharacteristic
121#2407C2211yescharacteristic
122#2407C2211yescharacteristic
123#2406—21no—
124#2405—21no—
125#2405—21no—
126#2388C2211yescharacteristic
127C2×#394—21no—
128#2362C2211yescharacteristic, complemented
129#2362C2211yescharacteristic, complemented
130#2339C2211yescharacteristic
131D4×C22⋊C4C2211yescharacteristic
132D4×C22⋊C4C2211yescharacteristic
133#2067C2211yescharacteristic, complemented
134#2065C2211yescharacteristic, complemented
135#2056C2211yescharacteristic, complemented
136#2056C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2043C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2036C2211yescharacteristic, complemented
143#2036C2211yescharacteristic, complemented
144#2035C2211yescharacteristic, complemented
145#2035C2211yescharacteristic, complemented
146#2034C2211yescharacteristic, complemented
147#2016C2211yescharacteristic, complemented
148#2016C2211yescharacteristic, complemented
149#2016C2211yescharacteristic, complemented
150#2015C2211yescharacteristic, complemented
151#2015C2211yescharacteristic, complemented
152#2015C2211yescharacteristic, complemented
153#2013C2211yescharacteristic, complemented
154#2013C2211yescharacteristic, complemented
155#2013C2211yescharacteristic, complemented
156#2013C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2001C2211yescharacteristic, complemented
159#2001C2211yescharacteristic, complemented
160#2001C2211yescharacteristic, complemented
161#2001C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#2000C2211yescharacteristic, complemented
164#2000C2211yescharacteristic, complemented
165#1983C2211yescharacteristic, complemented
166#1973C2211yescharacteristic, complemented
167#1973C2211yescharacteristic, complemented
168#1971C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1955C2211yescharacteristic, complemented
171#1935C2211yescharacteristic, complemented
172#1934C2211yescharacteristic, complemented
173#1928C2211yescharacteristic, complemented
174#1926C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1894C2211yescharacteristic, complemented
180#1892C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1880C2211yescharacteristic, complemented
184#1880C2211yescharacteristic, complemented
185#1878C2211yescharacteristic, complemented
186#1877C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1873C2211yescharacteristic, complemented
191#1873C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1870C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1864C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1854C2211yescharacteristic, complemented
199#1851C2211yescharacteristic, complemented
200#1850C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1787C2211yescharacteristic, complemented
203#1787C2211yescharacteristic, complemented
204#1762C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206#1752C2211yescharacteristic, complemented
207C2×H(5,𝔽2)—24no—
208C2×H(5,𝔽2)—24no—
209C2×H(5,𝔽2)—42no—
210C2×H(5,𝔽2)—42no—
211C2×H(5,𝔽2)—42no—
212C2×H(5,𝔽2)—42no—
213C22×#41—21no—
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C23×Q8C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4—21no—
223C23×D4—21no—
224C23×D4—21no—
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C2×#137—24no—
229C2×#137—24no—
230C2×#137—24no—
231C2×#137—24no—
232C2×#137—24no—
233C2×#137—42no—
234C2×#137—42no—
235C2×#137—42no—
236C2×#137—42no—
237C22×Q16C2311yescharacteristic
238C22×Q16C2311yescharacteristic
239C22×Q16C2311yescharacteristic
240C22×Q16C2311yescharacteristic
241C22×Q16C2311yescharacteristic
242C22×Q16C2311yescharacteristic
243C22×Q16C2311yescharacteristic
244C22×Q16C2311yescharacteristic
245C22×SD16—24no—
246C22×SD16—24no—
247C22×SD16—24no—
248C22×SD16—42no—
249C22×SD16—42no—
250C22×SD16—42no—
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×SD16C2311yescharacteristic
256C22×SD16C2311yescharacteristic
257C22×SD16C2311yescharacteristic
258C22×SD16C2311yescharacteristic
259C22×SD16C2311yescharacteristic
260C22×SD16C2311yescharacteristic
261C22×SD16C2311yescharacteristic
262C22×SD16C2311yescharacteristic
263C22×M16C2311yescharacteristic
264C22×M16C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C23×C8C2311yescharacteristic
267C23×C8C2311yescharacteristic
268D4×Q8—24no—
269D4×Q8—24no—
270D4×Q8—42no—
271D4×Q8—42no—
272#547—24no—
273#547—42no—
274#546—24no—
275#546—42no—
276#546—42no—
277#546—42no—
278#536—24no—
279#536—24no—
280#536—42no—
281#536—42no—
282C2×C4⋊Q8—21no—
283C2×C4⋊Q8—21no—
284C2×C4⋊Q8—21no—
285C2×C4⋊Q8—21no—
286C2×C4⋊Q8C2311yescharacteristic
287C2×C4⋊Q8C2311yescharacteristic
288C2×C4⋊Q8C2311yescharacteristic
289C2×C4⋊Q8C2311yescharacteristic
290C2×#124—21no—
291C2×#124—21no—
292C2×#124C2311yescharacteristic
293C2×#124C2311yescharacteristic
294C2×#123—21no—
295C2×#123—21no—
296C2×#123—21no—
297C2×#123—21no—
298C2×#123—21no—
299C2×#123—21no—
300C2×#123—21no—
301C2×#123—21no—
302C2×C22⋊Q8—21no—
303C2×C22⋊Q8—21no—
304C2×C22⋊Q8—21no—
305C2×C22⋊Q8—21no—
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2311yescharacteristic
309C2×C22⋊Q8C2311yescharacteristic
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2311yescharacteristic
314C2×C22⋊Q8C2311yescharacteristic
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×#121—21no—
321C2×#121—21no—
322C2×#121—21no—
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#120—21no—
326C2×#120—21no—
327C2×#120—21no—
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×D4—21no—
331C2×C4×D4—21no—
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×#117C2311yescharacteristic
339C2×#117C2311yescharacteristic
340C22×C4⋊C4—21no—
341C22×C22⋊C4—21no—
342C22×C22⋊C4—21no—
343C22×C22⋊C4—21no—
344C22×C22⋊C4—21no—
345#497—24no—
346#497—42no—
347#494—24no—
348#470—24no—
349#470—24no—
350#470—42no—
351#468—24no—
352#467—24no—
353#467—42no—
354#464—24no—
355#462—24no—
356#461—24no—
357#461—24no—
358#461—42no—
359#452—24no—
360#452—24no—
361#452—24no—
362#452—24no—
363#452—24no—
364#452—24no—
365#452—24no—
366#452—24no—
367#452—24no—
368#452D418yescomplemented
369#451—24no—
370#451—24no—
371#451—24no—
372#450—24no—
373#450—24no—
374#450—24no—
375#450—24no—
376#450—24no—
377#450—24no—
378#450—24no—
379#450D418yescomplemented
380#448—24no—
381#448—42no—
382#440—24no—
383C4×SD16—24no—
384#436—24no—
385#435—24no—
386C2×#107C2311yescharacteristic
387C2×#107C2311yescharacteristic
388C2×#106C2311yescharacteristic
389C2×#106C2311yescharacteristic
390C2×C4⋊C8C2311yescharacteristic
391C2×C4⋊C8C2311yescharacteristic
392C2×C4⋊C8C2311yescharacteristic
393#418—24no—
394#418—24no—
395#416—24no—
396#416—24no—
397C2×#103C2311yescharacteristic
398C2×#103C2311yescharacteristic
399C2×#103C2311yescharacteristic
400C2×#103C2311yescharacteristic
401C2×#103C2311yescharacteristic
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#103C2311yescharacteristic
411C2×#103C2311yescharacteristic
412C2×#103C2311yescharacteristic
413C2×#103C2311yescharacteristic
414C2×#103C2311yescharacteristic
415C2×#103C2311yescharacteristic
416C2×#103C2311yescharacteristic
417C2×#102C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429#408—24no—
430#408—24no—
431C2×C22⋊C8C2311yescharacteristic
432C2×C22⋊C8C2311yescharacteristic
433C2×C22⋊C8C2311yescharacteristic
434C2×C22⋊C8C2311yescharacteristic
435C2×C22⋊C8C2311yescharacteristic
436C2×C22⋊C8C2311yescharacteristic
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×C22⋊C8C2311yescharacteristic
442C2×#97C2311yescharacteristic
443C2×#97C2311yescharacteristic
444C2×C4×C8C2311yescharacteristic
445#399—21no—
446#399—21no—
447#398—21no—
448#398—21no—
449#397—21no—
450#397—21no—
451#396—21no—
452#396—21no—
453#395—21no—
454#395—21no—
455#395—21no—
456#395—21no—
457#395—21no—
458#395—21no—
459#395D411yescharacteristic
460#394—21no—
461#394—21no—
462#394—21no—
463#394—21no—
464#394—21no—
465#394—21no—
466#394—21no—
467#394—21no—
468#394—21no—
469#394—21no—
470#394—21no—
471#394—21no—
472#394—21no—
473#394—21no—
474#394D411yescharacteristic
475#394D411yescharacteristic
476#394D411yescharacteristic
477#393—21no—
478#393D411yescharacteristic
479#392—21no—
480#392—21no—
481#392—21no—
482#392D411yescharacteristic
483#392D411yescharacteristic
484#392D411yescharacteristic
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#390—21no—
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#389—21no—
497#389—21no—
498#389—21no—
499#389—21no—
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#388—21no—
503#388—21no—
504#388—21no—
505#388—21no—
506#388—21no—
507#388—21no—
508#388—21no—
509#388—21no—
510#387—21no—
511#387—21no—
512#386—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#386—21no—
521#385—21no—
522#385—21no—
523#385—21no—
524#385—21no—
525#385—21no—
526#385—21no—
527#385—21no—
528#385—21no—
529#385—21no—
530#385—21no—
531#385—21no—
532#384—21no—
533#381—21no—
534#380C2311yescharacteristic
535#380C2311yescharacteristic
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#379—21no—
539#379—21no—
540#379—21no—
541#379—21no—
542#379—21no—
543C4×C4⋊C4—21no—
544C4×C4⋊C4—21no—
545C4×C4⋊C4C2311yescharacteristic
546C4×C22⋊C4C2311yescharacteristic
547C4×C22⋊C4C2311yescharacteristic
548C4×C22⋊C4C2311yescharacteristic
549C2×#95—21no—
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564C25—21no—
565C25—21no—
566C25—21no—
567H(5,𝔽2)—416no—
568H(5,𝔽2)—416no—
569H(5,𝔽2)—416no—
570H(5,𝔽2)—416no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—22no—
578C2×#41—22no—
579C2×#41—22no—
580C2×#41—22no—
581C2×#41—22no—
582C2×#41—22no—
583C2×#41—22no—
584C2×#41—22no—
585C2×#41—22no—
586C2×#41—22no—
587C2×#41—41no—
588C2×#41—41no—
589C2×#41—41no—
590C2×#41—41no—
591C2×#41—41no—
592C2×#41—41no—
593C2×#41—41no—
594C2×#41—41no—
595C2×#41—41no—
596C2×#41—41no—
597C2×#41—41no—
598C2×#41—41no—
599C2×#41—41no—
600C2×#41—44no—
601C2×#41—44no—
602C2×#41—44no—
603C2×#41C2×D414yes—
604C22×Q8—21no—
605C22×Q8—21no—
606C22×Q8—21no—
607C22×Q8—22no—
608C22×Q8—22no—
609C22×Q8—22no—
610C22×Q8—22no—
611C22×Q8—22no—
612C22×Q8—22no—
613C22×Q8—22no—
614C22×Q8—22no—
615C22×Q8—41no—
616C22×Q8—41no—
617C22×Q8—41no—
618C22×Q8—41no—
619C22×Q8—41no—
620C22×Q8—41no—
621C22×Q8—41no—
622C22×Q8—41no—
623C22×Q8—41no—
624C22×Q8—41no—
625C22×Q8C2×D411yescharacteristic
626C22×Q8C2411yescharacteristic
627C22×Q8C2411yescharacteristic
628C22×Q8C2411yescharacteristic
629C22×Q8C2411yescharacteristic
630C22×Q8C2411yescharacteristic
631C22×Q8C2411yescharacteristic
632C22×D4—22no—
633C22×D4—22no—
634C22×D4—22no—
635C22×D4—22no—
636C22×D4—21no—
637C22×D4—22no—
638C22×D4—22no—
639C22×D4—22no—
640C22×D4—22no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—22no—
649C22×D4—21no—
650C22×D4—22no—
651C22×D4—22no—
652C22×D4—41no—
653C22×D4—41no—
654C22×D4—41no—
655C22×D4—41no—
656C22×D4—41no—
657C22×D4—41no—
658C22×D4—44no—
659C22×D4—44no—
660C22×D4—44no—
661C22×D4—44no—
662C22×D4—44no—
663C22×D4—44no—
664C22×D4—44no—
665C22×D4—44no—
666C22×D4—44no—
667C22×D4C2×D411yescharacteristic
668C22×D4C2×D411yescharacteristic
669C22×D4C2×D411yescharacteristic
670C22×D4C2×D411yescharacteristic
671C22×D4C2×D414yes—
672C22×D4C2×D411yescharacteristic
673C22×D4C2×D411yescharacteristic
674C22×D4C2411yescharacteristic
675C22×D4C2411yescharacteristic
676C22×D4C2411yescharacteristic
677C23×C4—21no—
678C23×C4—21no—
679C23×C4—21no—
680C23×C4—21no—
681C23×C4—21no—
682C23×C4—21no—
683C23×C4—21no—
684C23×C4—21no—
685C23×C4—21no—
686C23×C4—21no—
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2411yescharacteristic
690C23×C4C2411yescharacteristic
691#137—416no—
692#137—416no—
693#137—416no—
694C2×Q16—22no—
695C2×Q16—22no—
696C2×Q16—22no—
697C2×Q16—22no—
698C2×Q16—22no—
699C2×Q16—22no—
700C2×Q16—22no—
701C2×Q16—22no—
702C2×Q16—22no—
703C2×Q16—22no—
704C2×Q16—22no—
705C2×Q16—41no—
706C2×Q16—41no—
707C2×Q16—41no—
708C2×Q16—41no—
709C2×Q16—41no—
710C2×Q16—41no—
711C2×Q16—41no—
712C2×Q16—41no—
713C2×Q16—41no—
714C2×Q16—41no—
715C2×Q16—41no—
716C2×Q16—41no—
717C2×Q16C2×D414yes—
718C2×SD16—22no—
719C2×SD16—22no—
720C2×SD16—22no—
721C2×SD16—22no—
722C2×SD16—22no—
723C2×SD16—22no—
724C2×SD16—22no—
725C2×SD16—22no—
726C2×SD16—22no—
727C2×SD16—22no—
728C2×SD16—22no—
729C2×SD16—22no—
730C2×SD16—22no—
731C2×SD16—22no—
732C2×SD16—22no—
733C2×SD16—22no—
734C2×SD16—22no—
735C2×SD16—22no—
736C2×SD16—22no—
737C2×SD16—22no—
738C2×SD16—22no—
739C2×SD16—22no—
740C2×SD16—22no—
741C2×SD16—41no—
742C2×SD16—41no—
743C2×SD16—41no—
744C2×SD16—41no—
745C2×SD16—41no—
746C2×SD16—41no—
747C2×SD16—41no—
748C2×SD16—41no—
749C2×SD16—41no—
750C2×SD16—41no—
751C2×SD16—416no—
752C2×SD16—416no—
753C2×SD16C2×D414yes—
754C2×SD16C2×D414yes—
755C2×SD16C2×D414yes—
756C2×M16—22no—
757C2×M16—22no—
758C2×M16—22no—
759C2×M16—22no—
760C2×M16—22no—
761C2×M16—22no—
762C2×M16—41no—
763C2×M16—41no—
764C2×M16—41no—
765C22×C8—22no—
766C22×C8—22no—
767C22×C8—22no—
768C22×C8—22no—
769C22×C8—41no—
770C22×C8—41no—
771C22×C8C2411yescharacteristic
772C22×C8C2411yescharacteristic
773C22×C8C2411yescharacteristic
774C22×C8C2411yescharacteristic
775C22×C8C2411yescharacteristic
776C22×C8C2411yescharacteristic
777C22×C8C2411yescharacteristic
778C22×C8C2411yescharacteristic
779C4⋊Q8—22no—
780C4⋊Q8—22no—
781C4⋊Q8—22no—
782C4⋊Q8—41no—
783C4⋊Q8—41no—
784C4⋊Q8—41no—
785C4⋊Q8—41no—
786C4⋊Q8—41no—
787C4⋊Q8—44no—
788C4⋊Q8—44no—
789C4⋊Q8—44no—
790C4⋊Q8—44no—
791#124—22no—
792#124—22no—
793#124—41no—
794#124—41no—
795#124—44no—
796#124—44no—
797#123—44no—
798#123—44no—
799#123—44no—
800#123—44no—
801#123—44no—
802#123—44no—
803#123—44no—
804#123—44no—
805C22⋊Q8—22no—
806C22⋊Q8—22no—
807C22⋊Q8—22no—
808C22⋊Q8—22no—
809C22⋊Q8—22no—
810C22⋊Q8—22no—
811C22⋊Q8—22no—
812C22⋊Q8—22no—
813C22⋊Q8—22no—
814C22⋊Q8—22no—
815C22⋊Q8—22no—
816C22⋊Q8—22no—
817C22⋊Q8—22no—
818C22⋊Q8—22no—
819C22⋊Q8—22no—
820C22⋊Q8—22no—
821C22⋊Q8—22no—
822C22⋊Q8—44no—
823C22⋊Q8—44no—
824C22⋊Q8—44no—
825C22⋊Q8—44no—
826C22⋊Q8—41no—
827C22⋊Q8—41no—
828C22⋊Q8—41no—
829C22⋊Q8—41no—
830C22⋊Q8—41no—
831C22⋊Q8—41no—
832C22⋊Q8—41no—
833C22⋊Q8—41no—
834C22⋊Q8—41no—
835C22⋊Q8C2×D414yes—
836C22⋊Q8C2×D414yes—
837#121—22no—
838#121—22no—
839#121—44no—
840#121—41no—
841#121—41no—
842#121—44no—
843#121—44no—
844#120—44no—
845#120—44no—
846#120—82no—
847C4×Q8—22no—
848C4×Q8—22no—
849C4×Q8—41no—
850C4×Q8—41no—
851C4×D4—22no—
852C4×D4—22no—
853C4×D4—22no—
854C4×D4—22no—
855C4×D4—22no—
856C4×D4—22no—
857C4×D4—22no—
858C4×D4—41no—
859C4×D4—41no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4—41no—
863C4×D4—44no—
864C4×D4—44no—
865#117—22no—
866#117—22no—
867#117—41no—
868#117—41no—
869C2×C4⋊C4—21no—
870C2×C4⋊C4—21no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—44no—
896C2×C4⋊C4C2×D411yescharacteristic
897C2×C4⋊C4C2×D411yescharacteristic
898C2×C4⋊C4C2×D411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—44no—
944C2×C22⋊C4—44no—
945C2×C22⋊C4—82no—
946C2×C22⋊C4—82no—
947C2×C22⋊C4C2×D411yescharacteristic
948C2×C22⋊C4C2×D411yescharacteristic
949C2×C22⋊C4C2×D411yescharacteristic
950C2×C22⋊C4C2×D411yescharacteristic
951C2×C22⋊C4C2×D411yescharacteristic
952C2×C22⋊C4C2×D411yescharacteristic
953C2×C22⋊C4C2×D411yescharacteristic
954C2×C22⋊C4C2×D411yescharacteristic
955C2×C22⋊C4C2×D411yescharacteristic
956C2×C22⋊C4C2×D411yescharacteristic
957C2×C22⋊C4C2×D411yescharacteristic
958C2×C22⋊C4C2×D411yescharacteristic
959C2×C42—21no—
960C2×C42—21no—
961C2×C42—21no—
962C2×C42—21no—
963C2×C42—21no—
964C2×C42C2411yescharacteristic
965C2×C42C2411yescharacteristic
966C2×C42C2411yescharacteristic
967#107—22no—
968#107—41no—
969#106—22no—
970#106—41no—
971C4⋊C8—22no—
972C4⋊C8—22no—
973C4⋊C8—41no—
974#103—22no—
975#103—22no—
976#103—22no—
977#103—22no—
978#103—22no—
979#103—22no—
980#103—22no—
981#103—22no—
982#103—22no—
983#103—22no—
984#103—22no—
985#103—41no—
986#103—41no—
987#103—41no—
988#103—41no—
989#103—41no—
990#103—41no—
991#103—41no—
992#103—41no—
993#103C2×D414yes—
994#102—22no—
995#102—22no—
996#102—22no—
997#102—22no—
998#102—22no—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102C2×D414yes—
1004#102C2×D414yes—
1005#102C2×D414yes—
1006C22⋊C8—22no—
1007C22⋊C8—22no—
1008C22⋊C8—22no—
1009C22⋊C8—22no—
1010C22⋊C8—22no—
1011C22⋊C8—22no—
1012C22⋊C8—22no—
1013C22⋊C8—22no—
1014C22⋊C8—41no—
1015C22⋊C8C2×D414yes—
1016C22⋊C8C2×D414yes—
1017#97—22no—
1018#97—41no—
1019C4×C8—22no—
1020#95—21no—
1021#95—21no—
1022#95—21no—
1023#95—21no—
1024#95—21no—
1025#95—21no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029#95—21no—
1030#95—21no—
1031#95—21no—
1032#95—21no—
1033#95—21no—
1034#95—21no—
1035#95—21no—
1036#95—21no—
1037#95—21no—
1038#95—21no—
1039#95C2×D411yescharacteristic
1040#95C2×D411yescharacteristic
1041#95C2×D411yescharacteristic
1042#95C2×D411yescharacteristic
1043#95C2×D411yescharacteristic
1044#95C2×D411yescharacteristic
1045C24—21no—
1046C24—24no—
1047C24—21no—
1048C24—21no—
1049C24—24no—
1050C24—42no—
1051C24—42no—
1052C24—42no—
1053C24—42no—
1054C24—42no—
1055C24—42no—
1056C24—42no—
1057C24—81no—
1058C24—81no—
1059C24—81no—
1060C24—81no—
1061C24—81no—
1062C24—81no—
1063C24—81no—
1064C24—81no—
1065C24—81no—
1066C24—81no—
1067C24—81no—
1068C24—81no—
1069C24C22×D411yescharacteristic
1070C24C22×D411yescharacteristic
1071C24C22×D411yescharacteristic
1072C24C22×D411yescharacteristic
1073#41—28no—
1074#41—28no—
1075#41—44no—
1076#41—44no—
1077#41—44no—
1078#41—44no—
1079#41—44no—
1080#41—44no—
1081#41—44no—
1082#41—44no—
1083#41—44no—
1084#41—44no—
1085#41—44no—
1086#41—44no—
1087#41—44no—
1088#41—432no—
1089#41—44no—
1090#41—44no—
1091#41—82no—
1092#41—82no—
1093#41—82no—
1094C2×Q8—22no—
1095C2×Q8—22no—
1096C2×Q8—21no—
1097C2×Q8—21no—
1098C2×Q8—21no—
1099C2×Q8—21no—
1100C2×Q8—21no—
1101C2×Q8—21no—
1102C2×Q8—21no—
1103C2×Q8—21no—
1104C2×Q8—21no—
1105C2×Q8—21no—
1106C2×Q8—21no—
1107C2×Q8—21no—
1108C2×Q8—21no—
1109C2×Q8—21no—
1110C2×Q8—21no—
1111C2×Q8—21no—
1112C2×Q8—21no—
1113C2×Q8—21no—
1114C2×Q8—21no—
1115C2×Q8—21no—
1116C2×Q8—21no—
1117C2×Q8—21no—
1118C2×Q8—21no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—21no—
1122C2×Q8—21no—
1123C2×Q8—21no—
1124C2×Q8—21no—
1125C2×Q8—21no—
1126C2×Q8—21no—
1127C2×Q8—21no—
1128C2×Q8—21no—
1129C2×Q8—41no—
1130C2×Q8—42no—
1131C2×Q8—42no—
1132C2×Q8—42no—
1133C2×Q8—42no—
1134C2×Q8—44no—
1135C2×Q8—44no—
1136C2×Q8—44no—
1137C2×Q8—44no—
1138C2×Q8—42no—
1139C2×Q8—42no—
1140C2×Q8—44no—
1141C2×Q8—81no—
1142C2×Q8—81no—
1143C2×Q8—81no—
1144C2×Q8—82no—
1145C2×Q8—82no—
1146C2×Q8—82no—
1147C2×Q8—82no—
1148C2×Q8—82no—
1149C2×Q8—82no—
1150C2×Q8—82no—
1151C2×Q8C22×D412yes—
1152C2×Q8C22×D412yes—
1153C2×Q8C22×D412yes—
1154C2×D4—28no—
1155C2×D4—28no—
1156C2×D4—24no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—24no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—24no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—21no—
1169C2×D4—21no—
1170C2×D4—21no—
1171C2×D4—21no—
1172C2×D4—21no—
1173C2×D4—21no—
1174C2×D4—21no—
1175C2×D4—21no—
1176C2×D4—21no—
1177C2×D4—21no—
1178C2×D4—21no—
1179C2×D4—21no—
1180C2×D4—21no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—44no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—432no—
1213C2×D4—432no—
1214C2×D4—432no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—81no—
1224C2×D4—81no—
1225C2×D4—81no—
1226C2×D4—81no—
1227C2×D4C22×D412yes—
1228C2×D4C22×D412yes—
1229C2×D4C22×D412yes—
1230C2×D4H(5,𝔽2)12yes—
1231C2×D4H(5,𝔽2)12yes—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—24no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—81no—
1288C22×C4—81no—
1289C22×C4—81no—
1290C22×C4—81no—
1291C22×C4—81no—
1292C22×C4—81no—
1293C22×C4—81no—
1294C22×C4—81no—
1295C22×C4C22×D411yescharacteristic
1296C22×C4C22×D411yescharacteristic
1297C22×C4C22×D411yescharacteristic
1298C22×C4C22×D411yescharacteristic
1299C22×C4C22×D411yescharacteristic
1300C22×C4C22×D411yescharacteristic
1301C22×C4C22×D411yescharacteristic
1302C22×C4C22×D411yescharacteristic
1303C22×C4C22×D411yescharacteristic
1304C22×C4C22×D412yes—
1305C22×C4C22×D412yes—
1306C22×C4C22×D411yescharacteristic
1307C22×C4H(5,𝔽2)12yes—
1308C22×C4H(5,𝔽2)12yes—
1309C22×C4C2511yescharacteristic
1310Q16—44no—
1311Q16—44no—
1312Q16—44no—
1313Q16—44no—
1314Q16—44no—
1315Q16—44no—
1316Q16—82no—
1317Q16—82no—
1318SD16—28no—
1319SD16—28no—
1320SD16—44no—
1321SD16—44no—
1322SD16—44no—
1323SD16—44no—
1324SD16—44no—
1325SD16—44no—
1326SD16—44no—
1327SD16—44no—
1328SD16—44no—
1329SD16—44no—
1330M16—44no—
1331M16—44no—
1332M16—44no—
1333C2×C8—21no—
1334C2×C8—21no—
1335C2×C8—21no—
1336C2×C8—21no—
1337C2×C8—21no—
1338C2×C8—21no—
1339C2×C8—21no—
1340C2×C8—21no—
1341C2×C8—21no—
1342C2×C8—21no—
1343C2×C8—21no—
1344C2×C8—21no—
1345C2×C8—21no—
1346C2×C8—21no—
1347C2×C8—21no—
1348C2×C8—21no—
1349C2×C8—21no—
1350C2×C8—21no—
1351C2×C8—21no—
1352C2×C8—21no—
1353C2×C8—44no—
1354C2×C8—44no—
1355C2×C8C22×D412yes—
1356C2×C8C22×D412yes—
1357C2×C8C22×D412yes—
1358C2×C8C22×D412yes—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—41no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—81no—
1399C4⋊C4—81no—
1400C4⋊C4C22×D412yes—
1401C4⋊C4C22×D412yes—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—81no—
1443C22⋊C4—81no—
1444C22⋊C4—81no—
1445C22⋊C4—81no—
1446C22⋊C4—81no—
1447C22⋊C4—81no—
1448C22⋊C4—81no—
1449C22⋊C4—81no—
1450C22⋊C4—81no—
1451C42—21no—
1452C42—21no—
1453C42—21no—
1454C42—21no—
1455C42—21no—
1456C42—21no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—42no—
1461C42—42no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—21no—
1489C23—22no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—48no—
1494C23—48no—
1495C23—48no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—84no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23—162no—
1517C23—162no—
1518C23—162no—
1519C23—162no—
1520C23—162no—
1521C23—162no—
1522C23—162no—
1523C23—162no—
1524C23—162no—
1525C23—162no—
1526C23—162no—
1527C23—162no—
1528C23—162no—
1529C23—162no—
1530C23D4212yes—
1531C23D4212yes—
1532C23C23×D411yescharacteristic
1533Q8—22no—
1534Q8—22no—
1535Q8—22no—
1536Q8—22no—
1537Q8—22no—
1538Q8—22no—
1539Q8—44no—
1540Q8—41no—
1541Q8—41no—
1542Q8—41no—
1543Q8—41no—
1544Q8—41no—
1545Q8—41no—
1546Q8—41no—
1547Q8—41no—
1548Q8—41no—
1549Q8—41no—
1550Q8—41no—
1551Q8—41no—
1552Q8—41no—
1553Q8—41no—
1554Q8—41no—
1555Q8—41no—
1556Q8—41no—
1557Q8—41no—
1558Q8—84no—
1559Q8—84no—
1560Q8—84no—
1561D4—22no—
1562D4—22no—
1563D4—22no—
1564D4—22no—
1565D4—22no—
1566D4—22no—
1567D4—22no—
1568D4—44no—
1569D4—44no—
1570D4—44no—
1571D4—48no—
1572D4—48no—
1573D4—44no—
1574D4—48no—
1575D4—44no—
1576D4—48no—
1577D4—48no—
1578D4—48no—
1579D4—41no—
1580D4—41no—
1581D4—41no—
1582D4—41no—
1583D4—82no—
1584D4—84no—
1585D4—162no—
1586D4—162no—
1587D4D4214yes—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—48no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—84no—
1674C2×C4—84no—
1675C2×C4—84no—
1676C2×C4—84no—
1677C2×C4—84no—
1678C2×C4—162no—
1679C2×C4—162no—
1680C2×C4D4212yes—
1681C2×C4D4212yes—
1682C2×C4#57712yes—
1683C2×C4C23×D411yescharacteristic
1684C2×C4C23×D411yescharacteristic
1685C2×C4C2×H(5,𝔽2)11yescharacteristic
1686C2×C4C2×H(5,𝔽2)11yescharacteristic
1687C2×C4C2×H(5,𝔽2)11yescharacteristic
1688C2×C4C2×H(5,𝔽2)11yescharacteristic
1689C8—22no—
1690C8—22no—
1691C8—22no—
1692C8—22no—
1693C8—41no—
1694C8—41no—
1695C8—41no—
1696C8—41no—
1697C22—22no—
1698C22—22no—
1699C22—24no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—41no—
1705C22—42no—
1706C22—42no—
1707C22—41no—
1708C22—41no—
1709C22—42no—
1710C22—42no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—42no—
1715C22—42no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—42no—
1720C22—42no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—42no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—42no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—42no—
1735C22—41no—
1736C22—42no—
1737C22—41no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—168no—
1747C22—168no—
1748C22—168no—
1749C22C2×D4211yescharacteristic
1750C22C2×D4211yescharacteristic
1751C22#348411yescharacteristic
1752C22C2×#57711yescharacteristic
1753C22#358611yescharacteristic
1754C22#358611yescharacteristic
1755C22#358611yescharacteristic
1756C4—22no—
1757C4—22no—
1758C4—22no—
1759C4—41no—
1760C4—41no—
1761C4—42no—
1762C4—42no—
1763C4—42no—
1764C4—41no—
1765C4—41no—
1766C4—42no—
1767C4—41no—
1768C4—42no—
1769C4—41no—
1770C4—41no—
1771C4—81no—
1772C4—81no—
1773C4—81no—
1774C4—81no—
1775C4—81no—
1776C4—81no—
1777C4—81no—
1778C4—81no—
1779C4C2×D4211yescharacteristic
1780C4#348411yescharacteristic
1781C4#348411yescharacteristic
1782C4#353211yescharacteristic
1783C2—42no—
1784C2—42no—
1785C2—44no—
1786C2—81no—
1787C2—81no—
1788C2—82no—
1789C2—82no—
1790C2#5899011yescharacteristic
1791C2#6106011yescharacteristic
1792C2#6107511yescharacteristic
1793C2#6108311yescharacteristic
1794C2#6109411yescharacteristic
1795C2#6164911yescharacteristic
1796C2#6168011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35750C2
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. C2×#3276C2semidirect
2. C2×#3266C2semidirect
3. C2×#3009C2semidirect
4. C2×#3009C2semidirect
5. #45321C2semidirect
7. #31067C2semidirect
8. #30514C2semidirect
9. #30467C2semidirect
10. #30450C2semidirect
11. #25795C2semidirect
12. #25784C2semidirect
13. #25769C2semidirect
14. #25176C2semidirect
15. #25156C2semidirect
16. #25136C2semidirect
17. #25127C2semidirect
18. #25105C2semidirect
19. #25079C2semidirect
20. #24442C2semidirect
21. #24430C2semidirect
22. #24392C2semidirect
23. #24392C2semidirect
24. #24376C2semidirect
25. #24358C2semidirect
26. #23868C2semidirect
27. #23862C2semidirect
28. #23855C2semidirect
29. #22884C2semidirect
30. #22856C2semidirect
31. #22849C2semidirect
35. C22×#137C22semidirect
38. C2×D4×Q8C22semidirect
39. C2×D4×Q8C22semidirect
47. C2×#497C22semidirect
48. C2×#497C22semidirect
49. C2×#494C22semidirect
50. C2×#470C22semidirect
51. C2×#470C22semidirect
52. C2×#470C22semidirect
53. C2×#468C22semidirect
54. C2×#467C22semidirect
55. C2×#467C22semidirect
56. C2×#464C22semidirect
57. C2×#462C22semidirect
58. C2×#461C22semidirect
59. C2×#461C22semidirect
60. C2×#461C22semidirect
71. C2×#452C22semidirect
72. C2×#452C22semidirect
73. C2×#451C22semidirect
74. C2×#451C22semidirect
75. C2×#451C22semidirect
76. C2×#448C22semidirect
77. C2×#448C22semidirect
86. C2×#440C22semidirect
87. C2×C4×SD16C22semidirect
88. C2×#436C22semidirect
89. C2×#435C22semidirect
103. #2542C22semidirect
108. #2434C22semidirect
109. #2434C22semidirect
113. #2429C22semidirect
114. #2429C22semidirect
115. #2415C22semidirect
116. #2415C22semidirect
119. #2409C22semidirect
128. #2362C22semidirect
129. #2362C22semidirect
133. #2067C22semidirect
134. #2065C22semidirect
135. #2056C22semidirect
136. #2056C22semidirect
137. #2055C22semidirect
138. #2055C22semidirect
139. #2043C22semidirect
140. #2042C22semidirect
141. #2036C22semidirect
142. #2036C22semidirect
143. #2036C22semidirect
144. #2035C22semidirect
145. #2035C22semidirect
146. #2034C22semidirect
147. #2016C22semidirect
148. #2016C22semidirect
149. #2016C22semidirect
150. #2015C22semidirect
151. #2015C22semidirect
152. #2015C22semidirect
153. #2013C22semidirect
154. #2013C22semidirect
155. #2013C22semidirect
156. #2013C22semidirect
157. #2001C22semidirect
158. #2001C22semidirect
159. #2001C22semidirect
160. #2001C22semidirect
161. #2001C22semidirect
162. #2000C22semidirect
163. #2000C22semidirect
164. #2000C22semidirect
165. #1983C22semidirect
166. #1973C22semidirect
167. #1973C22semidirect
168. #1971C22semidirect
169. #1968C22semidirect
170. #1955C22semidirect
171. #1935C22semidirect
172. #1934C22semidirect
173. #1928C22semidirect
174. #1926C22semidirect
175. #1924C22semidirect
176. #1923C22semidirect
177. #1895C22semidirect
178. #1894C22semidirect
179. #1894C22semidirect
180. #1892C22semidirect
181. #1892C22semidirect
182. #1880C22semidirect
183. #1880C22semidirect
184. #1880C22semidirect
185. #1878C22semidirect
186. #1877C22semidirect
187. #1877C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
190. #1873C22semidirect
191. #1873C22semidirect
192. #1870C22semidirect
193. #1870C22semidirect
194. #1869C22semidirect
195. #1864C22semidirect
196. #1862C22semidirect
197. #1854C22semidirect
198. #1854C22semidirect
199. #1851C22semidirect
200. #1850C22semidirect
201. #1788C22semidirect
202. #1787C22semidirect
203. #1787C22semidirect
204. #1762C22semidirect
205. #1753C22semidirect
206. #1752C22semidirect
368. #452D4semidirect
379. #450D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32762
C2×#32662
C2×#30092
#453212
#357502
#310672
#305142
#304672
#304502
#257952
#257842
#257692
#251762
#251562
#251362
#251272
#251052
#250792
#244422
#244302
#243922
#243762
#243582
#238682
#238622
#238552
#228842
#228562
#228492