Finite Group Databasebeta

← #7519273

Subgroups — #7519273

Order 512.

2854 conjugacy classes of subgroups.

The subgroup lattice has 1737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×SD16C211yesmaximal, characteristic, complemented
2C2×D4×SD16C211yesmaximal, characteristic, complemented
3C2×#3266C211yesmaximal, characteristic, complemented
4C2×#3043C211yesmaximal, characteristic, complemented
5#44877C211yesmaximal, characteristic
6#35700C211yesmaximal, characteristic, complemented
7#30850C211yesmaximal, characteristic, complemented
8#30848C211yesmaximal, characteristic, complemented
9#30464C211yesmaximal, characteristic, complemented
10#30456C211yesmaximal, characteristic, complemented
11#28478C211yesmaximal, characteristic, complemented
12#25766C211yesmaximal, characteristic, complemented
13#25732C211yesmaximal, characteristic, complemented
14#25389C211yesmaximal, characteristic, complemented
15#25368C211yesmaximal, characteristic, complemented
16#25165C211yesmaximal, characteristic, complemented
17#25157C211yesmaximal, characteristic, complemented
18#25120C211yesmaximal, characteristic, complemented
19#25113C211yesmaximal, characteristic, complemented
20#24766C211yesmaximal, characteristic, complemented
21#24734C211yesmaximal, characteristic, complemented
22#24448C211yesmaximal, characteristic, complemented
23#24436C211yesmaximal, characteristic, complemented
24#24357C211yesmaximal, characteristic, complemented
25#24356C211yesmaximal, characteristic, complemented
26#24252C211yesmaximal, characteristic, complemented
27#23868C211yesmaximal, characteristic, complemented
28#23855C211yesmaximal, characteristic, complemented
29#23010C211yesmaximal, characteristic, complemented
30#22991C211yesmaximal, characteristic, complemented
31#21462C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C23×SD16C2211yescharacteristic
34C23×SD16C2211yescharacteristic, complemented
35C23×SD16C2211yescharacteristic, complemented
36C2×D4×Q8C2211yescharacteristic, complemented
37C2×D4×Q8C2211yescharacteristic, complemented
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×#546C2211yescharacteristic
40C2×D42C2211yescharacteristic
41C2×D42C2211yescharacteristic
42C2×#535C2211yescharacteristic
43C2×#519C2211yescharacteristic, complemented
44D4×SD16—28no—
45D4×SD16—28no—
46#3266—28no—
47C2×#497C2211yescharacteristic, complemented
48C2×#497C2211yescharacteristic, complemented
49C2×#492C2211yescharacteristic
50C2×#492C2211yescharacteristic
51C2×#468C2211yescharacteristic
52C2×#467C2211yescharacteristic, complemented
53C2×#465C2211yescharacteristic
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic, complemented
56C2×#465C2211yescharacteristic, complemented
57#3043—28no—
58C2×#464C2211yescharacteristic, complemented
59C2×#464C2211yescharacteristic, complemented
60C2×#464C2211yescharacteristic, complemented
61C2×#464C2211yescharacteristic, complemented
62C2×#464C2211yescharacteristic, complemented
63C2×#460C2211yescharacteristic
64C2×#460C2211yescharacteristic
65C2×#460C2211yescharacteristic
66C2×#460C2211yescharacteristic, complemented
67C2×#460C2211yescharacteristic, complemented
68C2×#461C2211yescharacteristic, complemented
69C2×#461C2211yescharacteristic, complemented
70C2×#461C2211yescharacteristic, complemented
71C2×#452C2211yescharacteristic, complemented
72C2×#452C2211yescharacteristic, complemented
73C2×#451C2211yescharacteristic, complemented
74C2×#451C2211yescharacteristic, complemented
75C2×#448C2211yescharacteristic
76C2×#448C2211yescharacteristic
77C2×#448C2211yescharacteristic, complemented
78C2×#448C2211yescharacteristic, complemented
79C2×#448C2211yescharacteristic, complemented
80C2×#450C2211yescharacteristic
81C2×#450C2211yescharacteristic
82C2×#450C2211yescharacteristic, complemented
83C2×#450C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic, complemented
85C2×#450C2211yescharacteristic, complemented
86C2×#440C2211yescharacteristic, complemented
87C2×#440C2211yescharacteristic, complemented
88C2×C4×SD16C2211yescharacteristic, complemented
89C2×C4×SD16C2211yescharacteristic, complemented
90C2×#435C2211yescharacteristic, complemented
91C2×C8×D4C2211yescharacteristic, complemented
92C2×C8×D4C2211yescharacteristic, complemented
93C2×#424C2211yescharacteristic, complemented
94C2×#418C2211yescharacteristic, complemented
95C2×#416C2211yescharacteristic, complemented
96#2679—21no—
97#2678—21no—
98#2671—21no—
99#2668—21no—
100#2621—21no—
101#2621C2211yescharacteristic, complemented
102#2546—21no—
103#2546C2211yescharacteristic, complemented
104#2544C2211yescharacteristic
105#2540C2211yescharacteristic
106#2536—21no—
107#2536C2211yescharacteristic, complemented
108#2435C2211yescharacteristic
109#2433C2211yescharacteristic
110#2429—21no—
111#2429—21no—
112#2429C2211yescharacteristic, complemented
113#2429C2211yescharacteristic, complemented
114#2428C2211yescharacteristic
115#2427C2211yescharacteristic
116#2424—21no—
117#2415—21no—
118#2415—21no—
119#2415C2211yescharacteristic, complemented
120#2415C2211yescharacteristic, complemented
121#2410—21no—
122#2408—21no—
123#2408C2211yescharacteristic
124#2407C2211yescharacteristic
125#2403—21no—
126#2392—21no—
127#2392C2211yescharacteristic
128#2366C2211yescharacteristic
129#2351C2211yescharacteristic, complemented
130Q8×C22⋊C4C2211yescharacteristic, complemented
131Q8×C22⋊C4C2211yescharacteristic, complemented
132#2324C2211yescharacteristic
133#2068C2211yescharacteristic, complemented
134#2066C2211yescharacteristic, complemented
135#2066C2211yescharacteristic, complemented
136#2065C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2055C2211yescharacteristic, complemented
140#2055C2211yescharacteristic, complemented
141#2042C2211yescharacteristic, complemented
142#2041C2211yescharacteristic
143#2035C2211yescharacteristic, complemented
144#2033C2211yescharacteristic
145#2033C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2016C2211yescharacteristic, complemented
148#2015C2211yescharacteristic, complemented
149#2015C2211yescharacteristic, complemented
150#2015C2211yescharacteristic, complemented
151#2014C2211yescharacteristic
152#2014C2211yescharacteristic, complemented
153#2014C2211yescharacteristic, complemented
154#2013C2211yescharacteristic, complemented
155#2013C2211yescharacteristic, complemented
156#2013C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2001C2211yescharacteristic, complemented
159#2001C2211yescharacteristic, complemented
160#2000C2211yescharacteristic
161#2000C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#2000C2211yescharacteristic, complemented
164#2000C2211yescharacteristic, complemented
165#1981C2211yescharacteristic, complemented
166#1973C2211yescharacteristic, complemented
167#1969C2211yescharacteristic, complemented
168#1961C2211yescharacteristic
169#1958C2211yescharacteristic, complemented
170#1955C2211yescharacteristic, complemented
171#1949C2211yescharacteristic, complemented
172#1939C2211yescharacteristic, complemented
173#1936C2211yescharacteristic, complemented
174#1934C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1893C2211yescharacteristic, complemented
179#1892C2211yescharacteristic, complemented
180#1892C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1880C2211yescharacteristic, complemented
184#1880C2211yescharacteristic, complemented
185#1880C2211yescharacteristic, complemented
186#1878C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1875C2211yescharacteristic
190#1870C2211yescharacteristic, complemented
191#1869C2211yescharacteristic, complemented
192#1865C2211yescharacteristic, complemented
193#1864C2211yescharacteristic, complemented
194#1863C2211yescharacteristic, complemented
195#1862C2211yescharacteristic, complemented
196#1854C2211yescharacteristic, complemented
197#1850C2211yescharacteristic, complemented
198#1850C2211yescharacteristic, complemented
199#1804C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic
202#1786C2211yescharacteristic, complemented
203#1771C2211yescharacteristic, complemented
204#1763C2211yescharacteristic, complemented
205C4×#103C2211yescharacteristic, complemented
206#1750C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×Q8C2311yescharacteristic
210C23×Q8C2311yescharacteristic
211C23×D4—21no—
212C23×D4—21no—
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C2×#137—24no—
217C2×#137—24no—
218C2×#137—42no—
219C22×Q16C2311yescharacteristic
220C22×Q16C2311yescharacteristic
221C22×Q16C2311yescharacteristic
222C22×Q16C2311yescharacteristic
223C22×SD16—24no—
224C22×SD16—24no—
225C22×SD16—24no—
226C22×SD16—24no—
227C22×SD16—24no—
228C22×SD16—24no—
229C22×SD16—42no—
230C22×SD16—42no—
231C22×SD16—42no—
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C23×C8C2311yescharacteristic
250C23×C8C2311yescharacteristic
251C23×C8C2311yescharacteristic
252D4×Q8—24no—
253D4×Q8—24no—
254D4×Q8—24no—
255D4×Q8—42no—
256D4×Q8—42no—
257D4×Q8—42no—
258#546—24no—
259#546—42no—
260D42—24no—
261D42—24no—
262D42—42no—
263D42—42no—
264#535—24no—
265#535—42no—
266C2×C4⋊Q8—21no—
267C2×C4⋊Q8—21no—
268C2×C4⋊Q8—21no—
269C2×C4⋊Q8C2311yescharacteristic
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2311yescharacteristic
272C2×#127C2311yescharacteristic
273C2×#127C2311yescharacteristic
274C2×#127C2311yescharacteristic
275C2×#124C2311yescharacteristic
276C2×#124C2311yescharacteristic
277C2×#124C2311yescharacteristic
278C2×#123—21no—
279C2×C22⋊Q8—21no—
280C2×C22⋊Q8—21no—
281C2×C22⋊Q8—21no—
282C2×C22⋊Q8—21no—
283C2×C22⋊Q8—21no—
284C2×C22⋊Q8—21no—
285C2×C22⋊Q8C2311yescharacteristic
286C2×C22⋊Q8C2311yescharacteristic
287C2×C22⋊Q8C2311yescharacteristic
288C2×C22⋊Q8C2311yescharacteristic
289C2×C22⋊Q8C2311yescharacteristic
290C2×C22⋊Q8C2311yescharacteristic
291C2×C22⋊Q8C2311yescharacteristic
292C2×C22⋊Q8C2311yescharacteristic
293C2×#121—21no—
294C2×#121—21no—
295C2×#121—21no—
296C2×#121—21no—
297C2×#121—21no—
298C2×#121—21no—
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×#120—21no—
314#519—24no—
315#519—42no—
316C2×C4×Q8—21no—
317C2×C4×Q8—21no—
318C2×C4×Q8C2311yescharacteristic
319C2×C4×Q8C2311yescharacteristic
320C2×C4×Q8C2311yescharacteristic
321C2×C4×Q8C2311yescharacteristic
322C2×C4×Q8C2311yescharacteristic
323C2×C4×Q8C2311yescharacteristic
324C2×C4×D4—21no—
325C2×C4×D4—21no—
326C2×C4×D4—21no—
327C2×C4×D4—21no—
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2311yescharacteristic
334C2×#117—21no—
335C2×#117—21no—
336C2×#117C2311yescharacteristic
337C2×#117C2311yescharacteristic
338C22×C22⋊C4—21no—
339#497—24no—
340#497—42no—
341#492—24no—
342#492—24no—
343#468—24no—
344#467—24no—
345#465—24no—
346#465—24no—
347#465—24no—
348#465—24no—
349#464—24no—
350#464—24no—
351#464—24no—
352#464—24no—
353#464—24no—
354#461—24no—
355#461—24no—
356#461—24no—
357#460—24no—
358#460—24no—
359#460—24no—
360#460—24no—
361#460D418yescomplemented
362#452—24no—
363#452—42no—
364#451—24no—
365#451—42no—
366#450—24no—
367#450—24no—
368#450—24no—
369#450—24no—
370#450—24no—
371#450—42no—
372#448—24no—
373#448—24no—
374#448—24no—
375#448—42no—
376#448D418yescomplemented
377#440—24no—
378#440—42no—
379C4×SD16—24no—
380C4×SD16—24no—
381#435—24no—
382C8×D4—24no—
383C8×D4—24no—
384C2×#107C2311yescharacteristic
385C2×#107C2311yescharacteristic
386C2×#106C2311yescharacteristic
387C2×#106C2311yescharacteristic
388#424—24no—
389C2×C4⋊C8C2311yescharacteristic
390C2×C4⋊C8C2311yescharacteristic
391C2×C4⋊C8C2311yescharacteristic
392C2×C4⋊C8C2311yescharacteristic
393C2×C4⋊C8C2311yescharacteristic
394C2×C4⋊C8C2311yescharacteristic
395#418—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×#102C2311yescharacteristic
414C2×#102C2311yescharacteristic
415C2×#102C2311yescharacteristic
416C2×#102C2311yescharacteristic
417C2×#102C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429C2×C22⋊C8C2311yescharacteristic
430C2×C22⋊C8C2311yescharacteristic
431C2×C22⋊C8C2311yescharacteristic
432C2×C22⋊C8C2311yescharacteristic
433C2×C22⋊C8C2311yescharacteristic
434C2×C22⋊C8C2311yescharacteristic
435C2×C22⋊C8C2311yescharacteristic
436C2×C22⋊C8C2311yescharacteristic
437C2×#97C2311yescharacteristic
438C2×#97C2311yescharacteristic
439C2×C4×C8C2311yescharacteristic
440C2×C4×C8C2311yescharacteristic
441#399—21no—
442#398—21no—
443#398—21no—
444#398—21no—
445#398—21no—
446#398—21no—
447#398—21no—
448#398—21no—
449#398D411yescharacteristic
450#397—21no—
451#397—21no—
452#397—21no—
453#397—21no—
454#397—21no—
455#397D411yescharacteristic
456#396—21no—
457#396—21no—
458#396D411yescharacteristic
459#396D411yescharacteristic
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#394D411yescharacteristic
472#394D411yescharacteristic
473#394D411yescharacteristic
474#392—21no—
475#392—21no—
476#392—21no—
477#392—21no—
478#392—21no—
479#392—21no—
480#392D411yescharacteristic
481#391—21no—
482#391—21no—
483#391—21no—
484#391—21no—
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#390—21no—
491#390—21no—
492#390—21no—
493#390—21no—
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#389—21no—
499#389—21no—
500#389—21no—
501#389—21no—
502#389—21no—
503#389—21no—
504#389—21no—
505#389—21no—
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#388—21no—
510#388—21no—
511#388—21no—
512#388—21no—
513#388—21no—
514#388—21no—
515#388—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#386—21no—
521#386—21no—
522#386—21no—
523#386—21no—
524#385—21no—
525#385—21no—
526#382—21no—
527#382C2311yescharacteristic
528#380—21no—
529#380—21no—
530#380—21no—
531#380C2311yescharacteristic
532#380C2311yescharacteristic
533#380C2311yescharacteristic
534#379—21no—
535#379—21no—
536#379—21no—
537C4×C4⋊C4—21no—
538C4×C4⋊C4C2311yescharacteristic
539C4×C4⋊C4C2311yescharacteristic
540C4×C22⋊C4—21no—
541C4×C22⋊C4—21no—
542C4×C22⋊C4C2311yescharacteristic
543C4×C22⋊C4C2311yescharacteristic
544#340C2311yescharacteristic
545#340C2311yescharacteristic
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558C25—21no—
559C25—21no—
560C25—21no—
561C2×#41—22no—
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C22×Q8—21no—
568C22×Q8—21no—
569C22×Q8—21no—
570C22×Q8—22no—
571C22×Q8—22no—
572C22×Q8—22no—
573C22×Q8—22no—
574C22×Q8—22no—
575C22×Q8—22no—
576C22×Q8—22no—
577C22×Q8—22no—
578C22×Q8—22no—
579C22×Q8—41no—
580C22×Q8—41no—
581C22×Q8—41no—
582C22×Q8—41no—
583C22×Q8—41no—
584C22×Q8—41no—
585C22×Q8—41no—
586C22×Q8—41no—
587C22×Q8C2×D414yescomplemented
588C22×Q8C2411yescharacteristic
589C22×Q8C2411yescharacteristic
590C22×Q8C2411yescharacteristic
591C22×Q8C2411yescharacteristic
592C22×Q8C2411yescharacteristic
593C22×D4—21no—
594C22×D4—22no—
595C22×D4—22no—
596C22×D4—22no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—22no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—22no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—44no—
627C22×D4—44no—
628C22×D4—82no—
629C22×D4—82no—
630C22×D4—82no—
631C22×D4—82no—
632C22×D4C2×D411yescharacteristic
633C22×D4C2×D411yescharacteristic
634C22×D4C2×D411yescharacteristic
635C22×D4C2411yescharacteristic
636C22×D4C2411yescharacteristic
637C22×D4C2411yescharacteristic
638C22×D4C2411yescharacteristic
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649#137—416no—
650C2×Q16—22no—
651C2×Q16—22no—
652C2×Q16—22no—
653C2×Q16—22no—
654C2×Q16—22no—
655C2×Q16—22no—
656C2×Q16—41no—
657C2×Q16—41no—
658C2×Q16—41no—
659C2×Q16—41no—
660C2×Q16—41no—
661C2×Q16—41no—
662C2×SD16—22no—
663C2×SD16—22no—
664C2×SD16—22no—
665C2×SD16—22no—
666C2×SD16—22no—
667C2×SD16—22no—
668C2×SD16—22no—
669C2×SD16—22no—
670C2×SD16—22no—
671C2×SD16—22no—
672C2×SD16—22no—
673C2×SD16—22no—
674C2×SD16—22no—
675C2×SD16—22no—
676C2×SD16—22no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×SD16—41no—
705C2×SD16—41no—
706C2×SD16—416no—
707C2×SD16—416no—
708C2×SD16—416no—
709C2×SD16C2×D414yes—
710C2×SD16C2×D414yes—
711C2×SD16C2×D414yes—
712C2×SD16C2×D414yescomplemented
713C2×M16—22no—
714C2×M16—22no—
715C2×M16—41no—
716C22×C8—22no—
717C22×C8—22no—
718C22×C8—22no—
719C22×C8—22no—
720C22×C8—22no—
721C22×C8—22no—
722C22×C8—41no—
723C22×C8—41no—
724C22×C8—41no—
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733C4⋊Q8—22no—
734C4⋊Q8—22no—
735C4⋊Q8—22no—
736C4⋊Q8—22no—
737C4⋊Q8—44no—
738C4⋊Q8—41no—
739C4⋊Q8—41no—
740C4⋊Q8—44no—
741C4⋊Q8—44no—
742#127—22no—
743#127—22no—
744#127—22no—
745#127—41no—
746#127—41no—
747#127C2×D414yes—
748#124—22no—
749#124—22no—
750#124—22no—
751#124—22no—
752#124—41no—
753#124—41no—
754#123—44no—
755C22⋊Q8—22no—
756C22⋊Q8—22no—
757C22⋊Q8—22no—
758C22⋊Q8—22no—
759C22⋊Q8—22no—
760C22⋊Q8—22no—
761C22⋊Q8—22no—
762C22⋊Q8—22no—
763C22⋊Q8—22no—
764C22⋊Q8—44no—
765C22⋊Q8—44no—
766C22⋊Q8—44no—
767C22⋊Q8—44no—
768C22⋊Q8—44no—
769C22⋊Q8—44no—
770C22⋊Q8—41no—
771C22⋊Q8—41no—
772C22⋊Q8—41no—
773C22⋊Q8—41no—
774C22⋊Q8—41no—
775C22⋊Q8—41no—
776C22⋊Q8—41no—
777#121—22no—
778#121—22no—
779#121—22no—
780#121—22no—
781#121—44no—
782#121—44no—
783#121—41no—
784#121—41no—
785#121—41no—
786#121—44no—
787#121—44no—
788#121—44no—
789#121—41no—
790#121—41no—
791#121—82no—
792#121C2×D414yes—
793#120—44no—
794#120—44no—
795#120—44no—
796#120—44no—
797#120—44no—
798#120—44no—
799#120—44no—
800#120—82no—
801#120—82no—
802#120—82no—
803C4×Q8—22no—
804C4×Q8—22no—
805C4×Q8—22no—
806C4×Q8—22no—
807C4×Q8—22no—
808C4×Q8—22no—
809C4×Q8—22no—
810C4×Q8—41no—
811C4×Q8—41no—
812C4×Q8—41no—
813C4×Q8—41no—
814C4×Q8—44no—
815C4×Q8—44no—
816C4×Q8C2×D414yescomplemented
817C4×D4—22no—
818C4×D4—22no—
819C4×D4—22no—
820C4×D4—22no—
821C4×D4—22no—
822C4×D4—22no—
823C4×D4—22no—
824C4×D4—22no—
825C4×D4—22no—
826C4×D4—22no—
827C4×D4—41no—
828C4×D4—41no—
829C4×D4—44no—
830C4×D4—44no—
831C4×D4—44no—
832C4×D4—82no—
833#117—22no—
834#117—22no—
835#117—22no—
836#117—44no—
837#117—44no—
838#117—41no—
839C2×C4⋊C4—21no—
840C2×C4⋊C4—21no—
841C2×C4⋊C4—21no—
842C2×C4⋊C4—21no—
843C2×C4⋊C4—21no—
844C2×C4⋊C4—21no—
845C2×C4⋊C4—21no—
846C2×C4⋊C4—21no—
847C2×C4⋊C4—21no—
848C2×C4⋊C4—21no—
849C2×C4⋊C4—21no—
850C2×C4⋊C4—21no—
851C2×C4⋊C4—21no—
852C2×C4⋊C4—21no—
853C2×C4⋊C4—21no—
854C2×C4⋊C4—21no—
855C2×C4⋊C4—21no—
856C2×C4⋊C4—21no—
857C2×C4⋊C4—21no—
858C2×C4⋊C4—21no—
859C2×C4⋊C4—21no—
860C2×C4⋊C4—21no—
861C2×C4⋊C4—21no—
862C2×C4⋊C4C2×D411yescharacteristic
863C2×C4⋊C4C2×D411yescharacteristic
864C2×C4⋊C4C2×D411yescharacteristic
865C2×C4⋊C4C2×D411yescharacteristic
866C2×C4⋊C4C2×D411yescharacteristic
867C2×C4⋊C4C2×D411yescharacteristic
868C2×C4⋊C4C2×D411yescharacteristic
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2411yescharacteristic
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2411yescharacteristic
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—21no—
893C2×C22⋊C4—21no—
894C2×C22⋊C4—21no—
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—21no—
898C2×C22⋊C4—21no—
899C2×C22⋊C4—21no—
900C2×C22⋊C4—21no—
901C2×C22⋊C4—21no—
902C2×C22⋊C4—21no—
903C2×C22⋊C4—21no—
904C2×C22⋊C4—21no—
905C2×C22⋊C4—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—44no—
911C2×C22⋊C4C2×D411yescharacteristic
912C2×C22⋊C4C2×D411yescharacteristic
913C2×C22⋊C4C2×D411yescharacteristic
914C2×C22⋊C4C2×D411yescharacteristic
915C2×C22⋊C4C2×D411yescharacteristic
916C2×C22⋊C4C2×D411yescharacteristic
917C2×C22⋊C4C2×D411yescharacteristic
918C2×C22⋊C4C2×D411yescharacteristic
919C2×C22⋊C4C2×D411yescharacteristic
920C2×C22⋊C4C2×D411yescharacteristic
921C2×C22⋊C4C2×D411yescharacteristic
922C2×C22⋊C4C2×D411yescharacteristic
923C2×C42—21no—
924C2×C42—21no—
925C2×C42—21no—
926C2×C42—21no—
927C2×C42—21no—
928C2×C42—21no—
929C2×C42—21no—
930C2×C42—21no—
931C2×C42C2411yescharacteristic
932C2×C42C2411yescharacteristic
933C2×C42C2411yescharacteristic
934C2×C42C2411yescharacteristic
935#107—22no—
936#107—41no—
937#106—22no—
938#106—22no—
939C4⋊C8—22no—
940C4⋊C8—22no—
941C4⋊C8—22no—
942C4⋊C8—22no—
943C4⋊C8—22no—
944C4⋊C8C2×D414yescomplemented
945#103—22no—
946#103—22no—
947#103—22no—
948#103—22no—
949#103—22no—
950#103—22no—
951#103—22no—
952#103—22no—
953#103—22no—
954#103—41no—
955#103—41no—
956#103—41no—
957#103—41no—
958#103—41no—
959#103C2×D414yescomplemented
960#103C2×D414yescomplemented
961#102—22no—
962#102—22no—
963#102—22no—
964#102—22no—
965#102—22no—
966#102—22no—
967#102—22no—
968#102—22no—
969#102—22no—
970#102—22no—
971#102—41no—
972#102—41no—
973#102—41no—
974#102—41no—
975#102C2×D414yes—
976#102C2×D414yescomplemented
977C22⋊C8—22no—
978C22⋊C8—22no—
979C22⋊C8—22no—
980C22⋊C8—22no—
981C22⋊C8—22no—
982C22⋊C8—41no—
983C22⋊C8—41no—
984C22⋊C8C2×D414yescomplemented
985#97—22no—
986#97—22no—
987C4×C8—22no—
988C4×C8—22no—
989#95—21no—
990#95—21no—
991#95—21no—
992#95—21no—
993#95—21no—
994#95—21no—
995#95—21no—
996#95—21no—
997#95—21no—
998#95—21no—
999#95—21no—
1000#95—21no—
1001#95—21no—
1002#95—21no—
1003#95—21no—
1004#95—21no—
1005#95—21no—
1006#95—21no—
1007#95—21no—
1008#95C2×D411yescharacteristic
1009#95C2×D411yescharacteristic
1010#95C2×D411yescharacteristic
1011#95C2×D411yescharacteristic
1012#95C2×D411yescharacteristic
1013#95C2×D411yescharacteristic
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24—42no—
1019C24—42no—
1020C24—42no—
1021C24—42no—
1022C24—42no—
1023C24—42no—
1024C24—42no—
1025C24—42no—
1026C24—81no—
1027C24—81no—
1028C24—81no—
1029C24—81no—
1030C24—81no—
1031C24—81no—
1032C24—81no—
1033C24—81no—
1034C24—81no—
1035C24—81no—
1036C24—81no—
1037C24—81no—
1038C24—81no—
1039C24C22×D411yescharacteristic
1040C24C22×D411yescharacteristic
1041C24C22×D411yescharacteristic
1042#41—44no—
1043#41—44no—
1044#41—82no—
1045#41—82no—
1046C2×Q8—24no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—28no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—21no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—42no—
1075C2×Q8—42no—
1076C2×Q8—42no—
1077C2×Q8—42no—
1078C2×Q8—42no—
1079C2×Q8—42no—
1080C2×Q8—42no—
1081C2×Q8—42no—
1082C2×Q8—44no—
1083C2×Q8—44no—
1084C2×Q8—44no—
1085C2×Q8—44no—
1086C2×Q8—44no—
1087C2×Q8—82no—
1088C2×Q8—82no—
1089C2×Q8—82no—
1090C2×Q8—82no—
1091C2×Q8—82no—
1092C2×Q8—82no—
1093C2×Q8C22×D412yes—
1094C2×Q8C22×D412yes—
1095C2×Q8C22×D412yes—
1096C2×Q8H(5,𝔽2)12yes—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—24no—
1104C2×D4—22no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—22no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—21no—
1120C2×D4—21no—
1121C2×D4—21no—
1122C2×D4—21no—
1123C2×D4—21no—
1124C2×D4—21no—
1125C2×D4—21no—
1126C2×D4—21no—
1127C2×D4—21no—
1128C2×D4—21no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—41no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—82no—
1155C2×D4—82no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—82no—
1171C2×D4—82no—
1172C2×D4—82no—
1173C2×D4—82no—
1174C2×D4—82no—
1175C2×D4—82no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—816no—
1185C2×D4—816no—
1186C2×D4C22×D412yes—
1187C2×D4C22×D412yes—
1188C2×D4C22×D412yes—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—24no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—81no—
1233C22×C4—81no—
1234C22×C4—81no—
1235C22×C4—81no—
1236C22×C4—81no—
1237C22×C4—81no—
1238C22×C4C22×D411yescharacteristic
1239C22×C4C22×D411yescharacteristic
1240C22×C4C22×D411yescharacteristic
1241C22×C4C22×D411yescharacteristic
1242C22×C4C22×D411yescharacteristic
1243C22×C4C22×D411yescharacteristic
1244C22×C4C22×D411yescharacteristic
1245C22×C4C22×D411yescharacteristic
1246C22×C4C22×D411yescharacteristic
1247C22×C4C22×D411yescharacteristic
1248C22×C4C22×D412yes—
1249C22×C4C22×D411yescharacteristic
1250C22×C4H(5,𝔽2)12yes—
1251C22×C4C2511yescharacteristic
1252Q16—44no—
1253Q16—44no—
1254Q16—82no—
1255Q16—82no—
1256SD16—28no—
1257SD16—28no—
1258SD16—28no—
1259SD16—44no—
1260SD16—44no—
1261SD16—44no—
1262SD16—44no—
1263SD16—44no—
1264SD16—44no—
1265SD16—44no—
1266SD16—44no—
1267SD16—44no—
1268SD16—82no—
1269SD16—82no—
1270SD16—82no—
1271SD16—82no—
1272M16—44no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—44no—
1294C2×C8—44no—
1295C2×C8—44no—
1296C2×C8C22×D412yes—
1297C2×C8C22×D412yes—
1298C2×C8C22×D412yes—
1299C2×C8C22×D412yes—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—41no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—81no—
1341C4⋊C4—81no—
1342C4⋊C4C22×D412yes—
1343C4⋊C4C22×D412yes—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—24no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—41no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C22⋊C4—81no—
1386C22⋊C4—81no—
1387C22⋊C4—81no—
1388C22⋊C4—81no—
1389C22⋊C4—81no—
1390C42—24no—
1391C42—21no—
1392C42—21no—
1393C42—21no—
1394C42—21no—
1395C42—21no—
1396C42—21no—
1397C42—42no—
1398C42—42no—
1399C42—42no—
1400C42—42no—
1401C42—42no—
1402C42—42no—
1403C42—81no—
1404C42C22×D412yes—
1405C42H(5,𝔽2)12yes—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—84no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—84no—
1459C23—84no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23D4212yes—
1474C23#57712yes—
1475C23#57712yes—
1476C23C23×D411yescharacteristic
1477Q8—22no—
1478Q8—22no—
1479Q8—22no—
1480Q8—22no—
1481Q8—22no—
1482Q8—48no—
1483Q8—41no—
1484Q8—41no—
1485Q8—41no—
1486Q8—41no—
1487Q8—41no—
1488Q8—41no—
1489Q8—41no—
1490Q8—41no—
1491Q8—41no—
1492Q8—41no—
1493Q8—41no—
1494Q8—41no—
1495Q8—41no—
1496Q8—41no—
1497Q8—84no—
1498Q8—84no—
1499Q8D4214yes—
1500D4—28no—
1501D4—28no—
1502D4—22no—
1503D4—22no—
1504D4—22no—
1505D4—22no—
1506D4—22no—
1507D4—22no—
1508D4—44no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—41no—
1515D4—41no—
1516D4—41no—
1517D4—41no—
1518D4—41no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—84no—
1525D4—84no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—84no—
1530D4—162no—
1531D4—162no—
1532D4—162no—
1533D4—162no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—48no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—162no—
1618C2×C4D4212yes—
1619C2×C4D4212yes—
1620C2×C4D4212yes—
1621C2×C4#57712yes—
1622C2×C4C23×D411yescharacteristic
1623C2×C4C23×D411yescharacteristic
1624C2×C4C2×H(5,𝔽2)11yescharacteristic
1625C2×C4C2×H(5,𝔽2)11yescharacteristic
1626C2×C4C2×H(5,𝔽2)11yescharacteristic
1627C2×C4#58511yescharacteristic
1628C8—22no—
1629C8—22no—
1630C8—22no—
1631C8—22no—
1632C8—41no—
1633C8—41no—
1634C8—41no—
1635C8—41no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—168no—
1686C22—168no—
1687C22—168no—
1688C22C2×D4211yescharacteristic
1689C22C2×D4211yescharacteristic
1690C22#348811yescharacteristic
1691C22C2×#57711yescharacteristic
1692C22C2×#57711yescharacteristic
1693C22C2×#57711yescharacteristic
1694C22#358611yescharacteristic
1695C4—22no—
1696C4—24no—
1697C4—22no—
1698C4—22no—
1699C4—22no—
1700C4—41no—
1701C4—41no—
1702C4—42no—
1703C4—41no—
1704C4—41no—
1705C4—42no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—42no—
1710C4—81no—
1711C4—81no—
1712C4—81no—
1713C4—81no—
1714C4—81no—
1715C4—81no—
1716C4—81no—
1717C4—81no—
1718C4C2×D4211yescharacteristic
1719C4#348811yescharacteristic
1720C4#349611yescharacteristic
1721C4#353711yescharacteristic
1722C2—42no—
1723C2—42no—
1724C2—42no—
1725C2—82no—
1726C2—82no—
1727C2—82no—
1728C2—161no—
1729C2#5899711yescharacteristic
1730C2#6105011yescharacteristic
1731C2#6105011yescharacteristic
1732C2#6107511yescharacteristic
1733C2#6109411yescharacteristic
1734C2#6201911yescharacteristic
1735C2#6205511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#44877C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×D4×SD16C2semidirect
2. C2×D4×SD16C2semidirect
3. C2×#3266C2semidirect
4. C2×#3043C2semidirect
6. #35700C2semidirect
7. #30850C2semidirect
8. #30848C2semidirect
9. #30464C2semidirect
10. #30456C2semidirect
11. #28478C2semidirect
12. #25766C2semidirect
13. #25732C2semidirect
14. #25389C2semidirect
15. #25368C2semidirect
16. #25165C2semidirect
17. #25157C2semidirect
18. #25120C2semidirect
19. #25113C2semidirect
20. #24766C2semidirect
21. #24734C2semidirect
22. #24448C2semidirect
23. #24436C2semidirect
24. #24357C2semidirect
25. #24356C2semidirect
26. #24252C2semidirect
27. #23868C2semidirect
28. #23855C2semidirect
29. #23010C2semidirect
30. #22991C2semidirect
31. #21462C2semidirect
32. C22×#137C22semidirect
34. C23×SD16C22semidirect
35. C23×SD16C22semidirect
36. C2×D4×Q8C22semidirect
37. C2×D4×Q8C22semidirect
38. C2×D4×Q8C22semidirect
43. C2×#519C22semidirect
47. C2×#497C22semidirect
48. C2×#497C22semidirect
52. C2×#467C22semidirect
55. C2×#465C22semidirect
56. C2×#465C22semidirect
58. C2×#464C22semidirect
59. C2×#464C22semidirect
60. C2×#464C22semidirect
61. C2×#464C22semidirect
62. C2×#464C22semidirect
66. C2×#460C22semidirect
67. C2×#460C22semidirect
68. C2×#461C22semidirect
69. C2×#461C22semidirect
70. C2×#461C22semidirect
71. C2×#452C22semidirect
72. C2×#452C22semidirect
73. C2×#451C22semidirect
74. C2×#451C22semidirect
77. C2×#448C22semidirect
78. C2×#448C22semidirect
79. C2×#448C22semidirect
82. C2×#450C22semidirect
83. C2×#450C22semidirect
84. C2×#450C22semidirect
85. C2×#450C22semidirect
86. C2×#440C22semidirect
87. C2×#440C22semidirect
88. C2×C4×SD16C22semidirect
89. C2×C4×SD16C22semidirect
90. C2×#435C22semidirect
91. C2×C8×D4C22semidirect
92. C2×C8×D4C22semidirect
93. C2×#424C22semidirect
94. C2×#418C22semidirect
95. C2×#416C22semidirect
101. #2621C22semidirect
103. #2546C22semidirect
107. #2536C22semidirect
112. #2429C22semidirect
113. #2429C22semidirect
119. #2415C22semidirect
120. #2415C22semidirect
129. #2351C22semidirect
130. Q8×C22⋊C4C22semidirect
131. Q8×C22⋊C4C22semidirect
133. #2068C22semidirect
134. #2066C22semidirect
135. #2066C22semidirect
136. #2065C22semidirect
137. #2055C22semidirect
138. #2055C22semidirect
139. #2055C22semidirect
140. #2055C22semidirect
141. #2042C22semidirect
143. #2035C22semidirect
145. #2033C22semidirect
146. #2033C22semidirect
147. #2016C22semidirect
148. #2015C22semidirect
149. #2015C22semidirect
150. #2015C22semidirect
152. #2014C22semidirect
153. #2014C22semidirect
154. #2013C22semidirect
155. #2013C22semidirect
156. #2013C22semidirect
157. #2001C22semidirect
158. #2001C22semidirect
159. #2001C22semidirect
161. #2000C22semidirect
162. #2000C22semidirect
163. #2000C22semidirect
164. #2000C22semidirect
165. #1981C22semidirect
166. #1973C22semidirect
167. #1969C22semidirect
169. #1958C22semidirect
170. #1955C22semidirect
171. #1949C22semidirect
172. #1939C22semidirect
173. #1936C22semidirect
174. #1934C22semidirect
175. #1924C22semidirect
176. #1923C22semidirect
177. #1894C22semidirect
178. #1893C22semidirect
179. #1892C22semidirect
180. #1892C22semidirect
181. #1880C22semidirect
182. #1880C22semidirect
183. #1880C22semidirect
184. #1880C22semidirect
185. #1880C22semidirect
186. #1878C22semidirect
187. #1877C22semidirect
188. #1877C22semidirect
190. #1870C22semidirect
191. #1869C22semidirect
192. #1865C22semidirect
193. #1864C22semidirect
194. #1863C22semidirect
195. #1862C22semidirect
196. #1854C22semidirect
197. #1850C22semidirect
198. #1850C22semidirect
199. #1804C22semidirect
200. #1787C22semidirect
202. #1786C22semidirect
203. #1771C22semidirect
204. #1763C22semidirect
205. C4×#103C22semidirect
206. #1750C22semidirect
361. #460D4semidirect
376. #448D4semidirect
587. C22×Q8C2×D4semidirect
712. C2×SD16C2×D4semidirect
816. C4×Q8C2×D4semidirect
944. C4⋊C8C2×D4semidirect
959. #103C2×D4semidirect
960. #103C2×D4semidirect
976. #102C2×D4semidirect
984. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×D4×SD162
C2×#32662
C2×#30432
#448772
#357002
#308502
#308482
#304642
#304562
#284782
#257662
#257322
#253892
#253682
#251652
#251572
#251202
#251132
#247662
#247342
#244482
#244362
#243572
#243562
#242522
#238682
#238552
#230102
#229912
#214622