Finite Group Databasebeta

← #7519133

Subgroups — #7519133

Order 512.

2934 conjugacy classes of subgroups.

The subgroup lattice has 1796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3273C211yesmaximal, characteristic, complemented
2C2×#3268C211yesmaximal, characteristic, complemented
3C2×#3267C211yesmaximal, characteristic, complemented
4C2×#3038C211yesmaximal, characteristic, complemented
5#59124C211yesmaximal, characteristic, complemented
6#36218C211yesmaximal, characteristic, complemented
7#30860C211yesmaximal, characteristic, complemented
8#30851C211yesmaximal, characteristic, complemented
9#30474C211yesmaximal, characteristic, complemented
10#30458C211yesmaximal, characteristic, complemented
11#28481C211yesmaximal, characteristic, complemented
12#25770C211yesmaximal, characteristic, complemented
13#25725C211yesmaximal, characteristic, complemented
14#25402C211yesmaximal, characteristic, complemented
15#25378C211yesmaximal, characteristic, complemented
16#25168C211yesmaximal, characteristic, complemented
17#25162C211yesmaximal, characteristic, complemented
18#25136C211yesmaximal, characteristic, complemented
19#25116C211yesmaximal, characteristic, complemented
20#24757C211yesmaximal, characteristic, complemented
21#24749C211yesmaximal, characteristic, complemented
22#24450C211yesmaximal, characteristic, complemented
23#24442C211yesmaximal, characteristic, complemented
24#24366C211yesmaximal, characteristic, complemented
25#24364C211yesmaximal, characteristic, complemented
26#24254C211yesmaximal, characteristic, complemented
27#23864C211yesmaximal, characteristic, complemented
28#23861C211yesmaximal, characteristic, complemented
29#23008C211yesmaximal, characteristic, complemented
30#22988C211yesmaximal, characteristic, complemented
31#21457C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C22×#135C2211yescharacteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×#546C2211yescharacteristic
40C2×#546C2211yescharacteristic, complemented
41C2×#546C2211yescharacteristic, complemented
42C22×#127C2211yescharacteristic, complemented
43C2×C4×#41C2211yescharacteristic
44#3273—28no—
45#3268—28no—
46#3267—28no—
47C2×#497C2211yescharacteristic, complemented
48C2×#496C2211yescharacteristic
49C2×#496C2211yescharacteristic
50C2×#495C2211yescharacteristic, complemented
51C2×#470C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic
53C2×#468C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#466C2211yescharacteristic, complemented
56C2×#465C2211yescharacteristic, complemented
57#3038—28no—
58C2×#464C2211yescharacteristic, complemented
59C2×#460C2211yescharacteristic, complemented
60C2×#460C2211yescharacteristic, complemented
61C2×#460C2211yescharacteristic, complemented
62C2×#460C2211yescharacteristic, complemented
63C2×#463C2211yescharacteristic, complemented
64C2×#463C2211yescharacteristic, complemented
65C2×#463C2211yescharacteristic, complemented
66C2×#461C2211yescharacteristic, complemented
67C2×#459C2211yescharacteristic
68C2×#459C2211yescharacteristic
69C2×#459C2211yescharacteristic
70C2×#459C2211yescharacteristic
71C2×#452C2211yescharacteristic
72C2×#452C2211yescharacteristic, complemented
73C2×#452C2211yescharacteristic, complemented
74C2×#452C2211yescharacteristic, complemented
75C2×#449C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#450C2211yescharacteristic, complemented
80C2×#450C2211yescharacteristic, complemented
81C2×#447C2211yescharacteristic
82C2×#447C2211yescharacteristic
83C2×#447C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×#442C2211yescharacteristic, complemented
87C2×#441C2211yescharacteristic, complemented
88C2×#440C2211yescharacteristic, complemented
89C2×C4×D8C2211yescharacteristic, complemented
90C2×#436C2211yescharacteristic
91C2×#435C2211yescharacteristic, complemented
92C2×#435C2211yescharacteristic, complemented
93C2×#423C2211yescharacteristic, complemented
94C2×#418C2211yescharacteristic, complemented
95C2×#418C2211yescharacteristic, complemented
96#2854—21no—
97#2850C2211yescharacteristic
98#2673—21no—
99#2673—21no—
100#2548C2211yescharacteristic, complemented
101#2545C2211yescharacteristic, complemented
102#2543—21no—
103#2541—21no—
104#2541C2211yescharacteristic
105#2536C2211yescharacteristic, complemented
106#2534—21no—
107#2445—21no—
108#2433—21no—
109#2431C2211yescharacteristic
110#2431C2211yescharacteristic, complemented
111#2429C2211yescharacteristic, complemented
112#2428C2211yescharacteristic
113#2428C2211yescharacteristic, complemented
114#2426C2211yescharacteristic, complemented
115#2425—21no—
116#2424—21no—
117#2415C2211yescharacteristic
118#2414C2211yescharacteristic
119#2413—21no—
120#2411—21no—
121#2410—21no—
122#2410—21no—
123#2408C2211yescharacteristic
124#2408C2211yescharacteristic, complemented
125#2366C2211yescharacteristic, complemented
126#2349C2211yescharacteristic, complemented
127#2339C2211yescharacteristic, complemented
128D4×C22⋊C4—21no—
129D4×C22⋊C4C2211yescharacteristic, complemented
130C4×C22⋊Q8C2211yescharacteristic, complemented
131C4×#121C2211yescharacteristic
132C2×#388—21no—
133#2068C2211yescharacteristic, complemented
134#2067C2211yescharacteristic, complemented
135#2067C2211yescharacteristic, complemented
136#2065C2211yescharacteristic, complemented
137#2056C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2055C2211yescharacteristic, complemented
140#2054C2211yescharacteristic, complemented
141#2042C2211yescharacteristic, complemented
142#2042C2211yescharacteristic, complemented
143#2034C2211yescharacteristic, complemented
144#2034C2211yescharacteristic, complemented
145#2034C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2015C2211yescharacteristic, complemented
148#2014C2211yescharacteristic, complemented
149#2014C2211yescharacteristic, complemented
150#2013C2211yescharacteristic, complemented
151#2013C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2012C2211yescharacteristic, complemented
155#2011C2211yescharacteristic
156#2011C2211yescharacteristic
157#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#2000C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1983C2211yescharacteristic, complemented
166#1972C2211yescharacteristic, complemented
167#1968C2211yescharacteristic, complemented
168#1961C2211yescharacteristic, complemented
169#1961C2211yescharacteristic, complemented
170#1955C2211yescharacteristic, complemented
171#1949C2211yescharacteristic, complemented
172#1940C2211yescharacteristic, complemented
173#1936C2211yescharacteristic, complemented
174#1934C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic
178#1895C2211yescharacteristic, complemented
179#1894C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1878C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1873C2211yescharacteristic, complemented
190#1870C2211yescharacteristic
191#1870C2211yescharacteristic, complemented
192#1864C2211yescharacteristic, complemented
193#1864C2211yescharacteristic, complemented
194#1863C2211yescharacteristic, complemented
195#1862C2211yescharacteristic, complemented
196#1854C2211yescharacteristic, complemented
197#1851C2211yescharacteristic, complemented
198#1850C2211yescharacteristic, complemented
199#1805C2211yescharacteristic, complemented
200#1788C2211yescharacteristic
201#1788C2211yescharacteristic, complemented
202#1788C2211yescharacteristic, complemented
203#1771C2211yescharacteristic, complemented
204#1763C2211yescharacteristic, complemented
205#1762C2211yescharacteristic, complemented
206#1749C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×D4—21no—
212C23×D4—21no—
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C2×AGL(1,ℤ/8)—24no—
217C2×AGL(1,ℤ/8)—24no—
218C2×AGL(1,ℤ/8)—24no—
219C2×AGL(1,ℤ/8)—24no—
220C2×AGL(1,ℤ/8)—24no—
221C2×AGL(1,ℤ/8)—24no—
222C2×AGL(1,ℤ/8)—42no—
223C2×AGL(1,ℤ/8)—42no—
224C2×AGL(1,ℤ/8)—42no—
225C2×#135—24no—
226C2×#135—24no—
227C2×#135—42no—
228C22×Q16C2311yescharacteristic
229C22×Q16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C23×C8C2311yescharacteristic
252#550—24no—
253#550—42no—
254#547—24no—
255#547—42no—
256#546—24no—
257#546—24no—
258#546—24no—
259#546—24no—
260#546—42no—
261#546—42no—
262#546—42no—
263#546—42no—
264C2×C4⋊Q8C2311yescharacteristic
265C2×#127—24no—
266C2×#127—21no—
267C2×#127—21no—
268C2×#127—21no—
269C2×#127—21no—
270C2×#127—42no—
271C2×#127C2311yescharacteristic
272C2×#127C2311yescharacteristic
273C2×#127C2311yescharacteristic
274C2×#127C2311yescharacteristic
275C2×#124C2311yescharacteristic
276C2×#124C2311yescharacteristic
277C2×#124C2311yescharacteristic
278C2×#124C2311yescharacteristic
279C2×#123—21no—
280C2×#123—21no—
281C2×#123—21no—
282C2×#123—21no—
283C2×#123—21no—
284C2×#123—21no—
285C2×C22⋊Q8C2311yescharacteristic
286C2×C22⋊Q8C2311yescharacteristic
287C2×C22⋊Q8C2311yescharacteristic
288C2×C22⋊Q8C2311yescharacteristic
289C2×C22⋊Q8C2311yescharacteristic
290C2×#121—21no—
291C2×#121—21no—
292C2×#121—21no—
293C2×#121—21no—
294C2×#121—21no—
295C2×#121—21no—
296C2×#121—21no—
297C2×#121—21no—
298C2×#121—21no—
299C2×#121D411yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#121C2311yescharacteristic
306C2×#121C2311yescharacteristic
307C2×#121C2311yescharacteristic
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×#120—21no—
314C4×#41—24no—
315C4×#41—42no—
316C2×C4×Q8C2311yescharacteristic
317C2×C4×Q8C2311yescharacteristic
318C2×C4×Q8C2311yescharacteristic
319C2×C4×D4—21no—
320C2×C4×D4—21no—
321C2×C4×D4—21no—
322C2×C4×D4—21no—
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2311yescharacteristic
332C2×#117—21no—
333C2×#117C2311yescharacteristic
334C22×C4⋊C4—21no—
335C22×C22⋊C4—21no—
336C22×C22⋊C4—21no—
337C22×C22⋊C4—21no—
338C22×C22⋊C4—21no—
339C22×C22⋊C4—21no—
340C22×C42—21no—
341C22×C42C2311yescharacteristic
342#497—24no—
343#496—24no—
344#496—42no—
345#495—24no—
346#470—24no—
347#468—24no—
348#468—24no—
349#468—24no—
350#466—24no—
351#465—24no—
352#464—24no—
353#463—24no—
354#463—24no—
355#463—24no—
356#461—24no—
357#460—24no—
358#460—24no—
359#460—24no—
360#460—24no—
361#459—24no—
362#459—24no—
363#459—24no—
364#459D418yescomplemented
365#452—24no—
366#452—24no—
367#452—24no—
368#452D418yescomplemented
369#450—24no—
370#450—42no—
371#449—24no—
372#449—24no—
373#449—24no—
374#449—42no—
375#447—24no—
376#447—24no—
377#447—24no—
378#447—42no—
379#447—42no—
380#442—24no—
381#441—42no—
382#440—24no—
383C4×D8—24no—
384#436—24no—
385#435—24no—
386#435—24no—
387C2×#107C2311yescharacteristic
388C2×#107C2311yescharacteristic
389C2×#106C2311yescharacteristic
390C2×#106C2311yescharacteristic
391#423—24no—
392C2×C4⋊C8C2311yescharacteristic
393C2×C4⋊C8C2311yescharacteristic
394C2×C4⋊C8C2311yescharacteristic
395C2×C4⋊C8C2311yescharacteristic
396C2×C4⋊C8C2311yescharacteristic
397C2×C4⋊C8C2311yescharacteristic
398#418—24no—
399#418—24no—
400C2×#103C2311yescharacteristic
401C2×#103C2311yescharacteristic
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#102C2311yescharacteristic
411C2×#102C2311yescharacteristic
412C2×#102C2311yescharacteristic
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×#102C2311yescharacteristic
430C2×#102C2311yescharacteristic
431C2×#102C2311yescharacteristic
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×#97C2311yescharacteristic
441C2×#97C2311yescharacteristic
442C2×#97C2311yescharacteristic
443C2×C4×C8C2311yescharacteristic
444#398—21no—
445#398—21no—
446#397—21no—
447#396—21no—
448#396—21no—
449#396—21no—
450#396—21no—
451#394—21no—
452#394—21no—
453#394—21no—
454#394—21no—
455#394—21no—
456#394—21no—
457#394—21no—
458#394—21no—
459#394—21no—
460#394—21no—
461#392—21no—
462#392—21no—
463#392—21no—
464#392—21no—
465#392—21no—
466#392—21no—
467#392—21no—
468#392—21no—
469#392—21no—
470#392—21no—
471#392—21no—
472#391C2311yescharacteristic
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#390—21no—
476#390—21no—
477#390—21no—
478#390—21no—
479#390—21no—
480#390—21no—
481#390D411yescharacteristic
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#389—21no—
489#389—21no—
490#389D411yescharacteristic
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2311yescharacteristic
494#388—21no—
495#388—21no—
496#388—21no—
497#388—21no—
498#388—21no—
499#388—21no—
500#388—21no—
501#388—21no—
502#388—21no—
503#388—21no—
504#388D411yescharacteristic
505#388D411yescharacteristic
506#387—21no—
507#386—21no—
508#386—21no—
509#386—21no—
510#386—21no—
511#386—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#386D411yescharacteristic
522#386D411yescharacteristic
523#385—21no—
524#385—21no—
525#385—21no—
526#382C2311yescharacteristic
527#381—21no—
528#380—21no—
529#380D411yescharacteristic
530#380C2311yescharacteristic
531#380C2311yescharacteristic
532#380C2311yescharacteristic
533#379—21no—
534#379—21no—
535#379—21no—
536C4×C4⋊C4—21no—
537C4×C4⋊C4C2311yescharacteristic
538C4×C4⋊C4C2311yescharacteristic
539C4×C22⋊C4—21no—
540C4×C22⋊C4C2311yescharacteristic
541C4×C22⋊C4C2311yescharacteristic
542C2×#95—21no—
543C2×#95—21no—
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—22no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41C2×D414yes—
585C22×Q8C2411yescharacteristic
586C22×Q8C2411yescharacteristic
587C22×Q8C2411yescharacteristic
588C22×D4—21no—
589C22×D4—22no—
590C22×D4—22no—
591C22×D4—22no—
592C22×D4—22no—
593C22×D4—22no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—22no—
608C22×D4—22no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—22no—
619C22×D4—22no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—44no—
630C22×D4—44no—
631C22×D4—44no—
632C22×D4—82no—
633C22×D4—82no—
634C22×D4—82no—
635C22×D4C2×D411yescharacteristic
636C22×D4C2×D411yescharacteristic
637C22×D4C2×D411yescharacteristic
638C22×D4C2411yescharacteristic
639C22×D4C2411yescharacteristic
640C22×D4C2411yescharacteristic
641C22×D4C2411yescharacteristic
642C22×D4C2411yescharacteristic
643C22×D4C2411yescharacteristic
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4—21no—
652C23×C4—21no—
653C23×C4—21no—
654C23×C4C2×D411yescharacteristic
655C23×C4C2×D411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659AGL(1,ℤ/8)—416no—
660AGL(1,ℤ/8)—416no—
661AGL(1,ℤ/8)—416no—
662#135—416no—
663C2×Q16—22no—
664C2×Q16—22no—
665C2×Q16—41no—
666C2×Q16—41no—
667C2×Q16—41no—
668C2×Q16C2×D414yescomplemented
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—41no—
686C2×SD16—41no—
687C2×SD16—41no—
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×SD16C2×D414yescomplemented
699C2×D8—22no—
700C2×D8—22no—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—22no—
708C2×D8—22no—
709C2×D8—22no—
710C2×D8—22no—
711C2×D8—22no—
712C2×D8—22no—
713C2×D8—41no—
714C2×D8—41no—
715C2×D8—41no—
716C2×D8—41no—
717C2×D8—41no—
718C2×D8—41no—
719C2×D8—41no—
720C2×D8—41no—
721C2×D8C2×D414yes—
722C2×D8C2×D414yes—
723C2×M16—22no—
724C2×M16—22no—
725C2×M16—22no—
726C2×M16—22no—
727C2×M16—22no—
728C2×M16—22no—
729C2×M16—41no—
730C2×M16—41no—
731C2×M16—41no—
732C22×C8—22no—
733C22×C8—22no—
734C22×C8—41no—
735C22×C8C2411yescharacteristic
736C22×C8C2411yescharacteristic
737C22×C8C2411yescharacteristic
738C22×C8C2411yescharacteristic
739C22×C8C2411yescharacteristic
740C22×C8C2411yescharacteristic
741C22×C8C2411yescharacteristic
742C22×C8C2411yescharacteristic
743C4⋊Q8—22no—
744C4⋊Q8—41no—
745#127—22no—
746#127—22no—
747#127—22no—
748#127—22no—
749#127—22no—
750#127—41no—
751#127—41no—
752#127—44no—
753#127—44no—
754#127—44no—
755#127—82no—
756#127C2×D414yes—
757#124—22no—
758#124—22no—
759#124—22no—
760#124—22no—
761#124—22no—
762#124—41no—
763#124—41no—
764#124—41no—
765#123—44no—
766#123—44no—
767#123—44no—
768#123—44no—
769#123—44no—
770#123—44no—
771C22⋊Q8—22no—
772C22⋊Q8—22no—
773C22⋊Q8—22no—
774C22⋊Q8—22no—
775C22⋊Q8—22no—
776C22⋊Q8—22no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780C22⋊Q8C2×D414yes—
781#121—22no—
782#121—22no—
783#121—22no—
784#121—22no—
785#121—22no—
786#121—22no—
787#121—22no—
788#121—42no—
789#121—44no—
790#121—44no—
791#121—44no—
792#121—44no—
793#121—44no—
794#121—44no—
795#121—41no—
796#121—41no—
797#121—41no—
798#121—41no—
799#121—41no—
800#121—44no—
801#121—41no—
802#121—41no—
803#121—41no—
804#121—41no—
805#121—82no—
806#121—82no—
807#120—44no—
808#120—44no—
809#120—44no—
810#120—44no—
811#120—82no—
812#120—82no—
813C4×Q8—22no—
814C4×Q8—22no—
815C4×Q8—22no—
816C4×Q8—22no—
817C4×Q8—22no—
818C4×Q8—41no—
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—22no—
828C4×D4—22no—
829C4×D4—22no—
830C4×D4—22no—
831C4×D4—41no—
832C4×D4—41no—
833C4×D4—41no—
834C4×D4—41no—
835C4×D4—41no—
836C4×D4—44no—
837C4×D4—44no—
838C4×D4—44no—
839C4×D4—82no—
840C4×D4C2×D414yes—
841#117—22no—
842#117—44no—
843#117—41no—
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—44no—
858C2×C4⋊C4C2×D411yescharacteristic
859C2×C4⋊C4C2×D411yescharacteristic
860C2×C4⋊C4C2×D411yescharacteristic
861C2×C4⋊C4C2×D411yescharacteristic
862C2×C4⋊C4C2×D411yescharacteristic
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2411yescharacteristic
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2411yescharacteristic
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
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—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—44no—
914C2×C22⋊C4—44no—
915C2×C22⋊C4—44no—
916C2×C22⋊C4—44no—
917C2×C22⋊C4—44no—
918C2×C22⋊C4C2×D411yescharacteristic
919C2×C22⋊C4C2×D411yescharacteristic
920C2×C22⋊C4C2×D411yescharacteristic
921C2×C22⋊C4C2×D411yescharacteristic
922C2×C22⋊C4C2×D411yescharacteristic
923C2×C22⋊C4C2×D411yescharacteristic
924C2×C22⋊C4C2×D411yescharacteristic
925C2×C22⋊C4C2×D411yescharacteristic
926C2×C22⋊C4C2×D411yescharacteristic
927C2×C22⋊C4C2×D411yescharacteristic
928C2×C42—22no—
929C2×C42—22no—
930C2×C42—21no—
931C2×C42—21no—
932C2×C42—21no—
933C2×C42—21no—
934C2×C42—21no—
935C2×C42—44no—
936C2×C42C2×D411yescharacteristic
937C2×C42C2×D411yescharacteristic
938C2×C42C2411yescharacteristic
939C2×C42C2411yescharacteristic
940C2×C42C2411yescharacteristic
941C2×C42C2411yescharacteristic
942#107—22no—
943#107—22no—
944#106—22no—
945#106—41no—
946C4⋊C8—22no—
947C4⋊C8—22no—
948C4⋊C8—22no—
949C4⋊C8—22no—
950C4⋊C8—22no—
951C4⋊C8C2×D414yes—
952#103—22no—
953#103—22no—
954#103—22no—
955#103—22no—
956#103—22no—
957#103—41no—
958#103—41no—
959#103—41no—
960#103—41no—
961#103C2×D414yescomplemented
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—22no—
972#102—22no—
973#102—22no—
974#102—22no—
975#102—22no—
976#102—41no—
977#102—41no—
978#102—41no—
979#102—41no—
980#102—41no—
981#102C2×D414yes—
982#102C2×D414yes—
983#102C2×D414yescomplemented
984C22⋊C8—22no—
985C22⋊C8—22no—
986C22⋊C8—22no—
987C22⋊C8—22no—
988C22⋊C8—22no—
989C22⋊C8—41no—
990C22⋊C8—41no—
991C22⋊C8C2×D414yes—
992#97—22no—
993#97—22no—
994#97—22no—
995C4×C8—22no—
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#95—21no—
1009#95—21no—
1010#95—21no—
1011#95C2×D411yescharacteristic
1012#95C2×D411yescharacteristic
1013#95C2×D411yescharacteristic
1014#95C2×D411yescharacteristic
1015#95C2×D411yescharacteristic
1016#95C2×D411yescharacteristic
1017C24—21no—
1018C24—21no—
1019C24—21no—
1020C24—21no—
1021C24—21no—
1022C24—21no—
1023C24—42no—
1024C24—42no—
1025C24—42no—
1026C24—42no—
1027C24—42no—
1028C24—42no—
1029C24—42no—
1030C24—42no—
1031C24—42no—
1032C24—42no—
1033C24—42no—
1034C24—42no—
1035C24—81no—
1036C24—81no—
1037C24—81no—
1038C24—81no—
1039C24—81no—
1040C24—81no—
1041C24—81no—
1042C24—81no—
1043C24—81no—
1044C24C22×D411yescharacteristic
1045C24C22×D411yescharacteristic
1046C24C22×D411yescharacteristic
1047#41—28no—
1048#41—44no—
1049#41—44no—
1050#41—44no—
1051#41—44no—
1052#41—44no—
1053#41—44no—
1054#41—82no—
1055#41—82no—
1056#41—82no—
1057#41—82no—
1058#41—82no—
1059#41—82no—
1060#41—82no—
1061#41—82no—
1062#41—82no—
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—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8C22×D412yes—
1080C2×Q8C22×D412yes—
1081C2×D4—24no—
1082C2×D4—22no—
1083C2×D4—22no—
1084C2×D4—24no—
1085C2×D4—22no—
1086C2×D4—24no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
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—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—42no—
1131C2×D4—42no—
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—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—82no—
1166C2×D4—82no—
1167C2×D4—82no—
1168C2×D4—82no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—82no—
1180C2×D4—82no—
1181C2×D4—82no—
1182C2×D4—816no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—816no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4—81no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4—81no—
1204C2×D4C22×D412yes—
1205C2×D4C22×D412yes—
1206C2×D4C22×D412yes—
1207C2×D4C22×D412yes—
1208C2×D4H(5,𝔽2)12yes—
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—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—24no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—81no—
1260C22×C4—81no—
1261C22×C4—81no—
1262C22×C4—81no—
1263C22×C4—81no—
1264C22×C4—81no—
1265C22×C4—81no—
1266C22×C4—81no—
1267C22×C4—81no—
1268C22×C4—81no—
1269C22×C4—81no—
1270C22×C4—81no—
1271C22×C4C22×D411yescharacteristic
1272C22×C4C22×D411yescharacteristic
1273C22×C4C22×D411yescharacteristic
1274C22×C4C22×D411yescharacteristic
1275C22×C4C22×D411yescharacteristic
1276C22×C4C22×D411yescharacteristic
1277C22×C4C22×D411yescharacteristic
1278C22×C4C22×D411yescharacteristic
1279C22×C4C22×D411yescharacteristic
1280C22×C4C22×D411yescharacteristic
1281C22×C4C22×D412yes—
1282C22×C4C22×D411yescharacteristic
1283C22×C4H(5,𝔽2)12yes—
1284C22×C4C2511yescharacteristic
1285Q16—44no—
1286Q16—44no—
1287SD16—28no—
1288SD16—44no—
1289SD16—44no—
1290SD16—44no—
1291SD16—44no—
1292SD16—44no—
1293SD16—44no—
1294SD16—82no—
1295SD16—82no—
1296SD16—82no—
1297D8—28no—
1298D8—28no—
1299D8—44no—
1300D8—44no—
1301D8—44no—
1302D8—82no—
1303D8—82no—
1304D8—82no—
1305M16—44no—
1306M16—44no—
1307M16—44no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—21no—
1318C2×C8—21no—
1319C2×C8—21no—
1320C2×C8—21no—
1321C2×C8—21no—
1322C2×C8—21no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—21no—
1326C2×C8—21no—
1327C2×C8—21no—
1328C2×C8—44no—
1329C2×C8C22×D412yes—
1330C2×C8C22×D412yes—
1331C2×C8C22×D412yes—
1332C2×C8C22×D412yes—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—81no—
1362C4⋊C4—81no—
1363C4⋊C4C22×D412yes—
1364C4⋊C4C22×D412yes—
1365C22⋊C4—24no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—24no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—81no—
1406C22⋊C4—81no—
1407C22⋊C4—81no—
1408C22⋊C4—81no—
1409C22⋊C4—81no—
1410C22⋊C4—81no—
1411C22⋊C4—81no—
1412C22⋊C4—81no—
1413C22⋊C4—81no—
1414C22⋊C4—81no—
1415C22⋊C4—81no—
1416C22⋊C4—81no—
1417C22⋊C4—81no—
1418C42—22no—
1419C42—22no—
1420C42—21no—
1421C42—21no—
1422C42—21no—
1423C42—21no—
1424C42—21no—
1425C42—21no—
1426C42—42no—
1427C42—42no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42C22×D412yes—
1432C42H(5,𝔽2)12yes—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—22no—
1437C23—21no—
1438C23—22no—
1439C23—21no—
1440C23—22no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—22no—
1453C23—22no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—84no—
1496C23—84no—
1497C23—84no—
1498C23—84no—
1499C23—84no—
1500C23—84no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23—84no—
1505C23—84no—
1506C23—84no—
1507C23—162no—
1508C23—162no—
1509C23—162no—
1510C23—162no—
1511C23—162no—
1512C23—162no—
1513C23—162no—
1514C23—162no—
1515C23—162no—
1516C23D4212yes—
1517C23C23×D411yescharacteristic
1518Q8—22no—
1519Q8—22no—
1520Q8—22no—
1521Q8—22no—
1522Q8—41no—
1523Q8—41no—
1524Q8—41no—
1525Q8—41no—
1526Q8—41no—
1527Q8—41no—
1528Q8—41no—
1529Q8—41no—
1530D4—22no—
1531D4—22no—
1532D4—22no—
1533D4—22no—
1534D4—22no—
1535D4—22no—
1536D4—22no—
1537D4—48no—
1538D4—48no—
1539D4—41no—
1540D4—41no—
1541D4—41no—
1542D4—41no—
1543D4—41no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—41no—
1548D4—41no—
1549D4—41no—
1550D4—41no—
1551D4—41no—
1552D4—41no—
1553D4—41no—
1554D4—41no—
1555D4—82no—
1556D4—84no—
1557D4—84no—
1558D4—84no—
1559D4—84no—
1560D4—84no—
1561D4—84no—
1562D4—84no—
1563D4—82no—
1564D4—82no—
1565D4—84no—
1566D4—84no—
1567D4—84no—
1568D4—84no—
1569D4—84no—
1570D4—84no—
1571D4—162no—
1572D4—162no—
1573D4—162no—
1574D4—162no—
1575D4—162no—
1576D4—162no—
1577D4—162no—
1578D4—162no—
1579D4D4214yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—44no—
1618C2×C4—48no—
1619C2×C4—44no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
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—84no—
1655C2×C4—84no—
1656C2×C4—84no—
1657C2×C4—84no—
1658C2×C4—84no—
1659C2×C4—84no—
1660C2×C4—162no—
1661C2×C4—162no—
1662C2×C4—162no—
1663C2×C4D4212yes—
1664C2×C4D4212yes—
1665C2×C4D4212yes—
1666C2×C4#57512yes—
1667C2×C4C23×D411yescharacteristic
1668C2×C4C23×D411yescharacteristic
1669C2×C4C2×H(5,𝔽2)11yescharacteristic
1670C2×C4C2×H(5,𝔽2)11yescharacteristic
1671C2×C4C2×H(5,𝔽2)11yescharacteristic
1672C2×C4#58511yescharacteristic
1673C8—22no—
1674C8—22no—
1675C8—22no—
1676C8—22no—
1677C8—41no—
1678C8—41no—
1679C8—41no—
1680C8—41no—
1681C22—22no—
1682C22—24no—
1683C22—22no—
1684C22—22no—
1685C22—41no—
1686C22—42no—
1687C22—41no—
1688C22—42no—
1689C22—41no—
1690C22—42no—
1691C22—41no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—42no—
1700C22—42no—
1701C22—41no—
1702C22—41no—
1703C22—42no—
1704C22—42no—
1705C22—41no—
1706C22—41no—
1707C22—42no—
1708C22—42no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—168no—
1745C22—168no—
1746C22—168no—
1747C22C2×D4211yescharacteristic
1748C22C2×D4211yescharacteristic
1749C22#348811yescharacteristic
1750C22C2×#57511yescharacteristic
1751C22#358511yescharacteristic
1752C22#358511yescharacteristic
1753C22#358511yescharacteristic
1754C4—22no—
1755C4—22no—
1756C4—22no—
1757C4—22no—
1758C4—41no—
1759C4—41no—
1760C4—42no—
1761C4—42no—
1762C4—41no—
1763C4—42no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—42no—
1769C4—81no—
1770C4—81no—
1771C4—81no—
1772C4—81no—
1773C4—81no—
1774C4—81no—
1775C4C2×D4211yescharacteristic
1776C4#348811yescharacteristic
1777C4#349611yescharacteristic
1778C4#353711yescharacteristic
1779C2—42no—
1780C2—44no—
1781C2—81no—
1782C2—81no—
1783C2—82no—
1784C2—82no—
1785C2—161no—
1786C2—161no—
1787C2—161no—
1788C2#5899711yescharacteristic
1789C2#6105811yescharacteristic
1790C2#6106611yescharacteristic
1791C2#6107011yescharacteristic
1792C2#6108211yescharacteristic
1793C2#6196811yescharacteristic
1794C2#6207911yescharacteristic
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. C2×#3273C2semidirect
2. C2×#3268C2semidirect
3. C2×#3267C2semidirect
4. C2×#3038C2semidirect
5. #59124C2semidirect
6. #36218C2semidirect
7. #30860C2semidirect
8. #30851C2semidirect
9. #30474C2semidirect
10. #30458C2semidirect
11. #28481C2semidirect
12. #25770C2semidirect
13. #25725C2semidirect
14. #25402C2semidirect
15. #25378C2semidirect
16. #25168C2semidirect
17. #25162C2semidirect
18. #25136C2semidirect
19. #25116C2semidirect
20. #24757C2semidirect
21. #24749C2semidirect
22. #24450C2semidirect
23. #24442C2semidirect
24. #24366C2semidirect
25. #24364C2semidirect
26. #24254C2semidirect
27. #23864C2semidirect
28. #23861C2semidirect
29. #23008C2semidirect
30. #22988C2semidirect
31. #21457C2semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C22×#135C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
42. C22×#127C22semidirect
47. C2×#497C22semidirect
50. C2×#495C22semidirect
51. C2×#470C22semidirect
53. C2×#468C22semidirect
54. C2×#468C22semidirect
55. C2×#466C22semidirect
56. C2×#465C22semidirect
58. C2×#464C22semidirect
59. C2×#460C22semidirect
60. C2×#460C22semidirect
61. C2×#460C22semidirect
62. C2×#460C22semidirect
63. C2×#463C22semidirect
64. C2×#463C22semidirect
65. C2×#463C22semidirect
66. C2×#461C22semidirect
72. C2×#452C22semidirect
73. C2×#452C22semidirect
74. C2×#452C22semidirect
75. C2×#449C22semidirect
76. C2×#449C22semidirect
77. C2×#449C22semidirect
78. C2×#449C22semidirect
79. C2×#450C22semidirect
80. C2×#450C22semidirect
83. C2×#447C22semidirect
84. C2×#447C22semidirect
85. C2×#447C22semidirect
86. C2×#442C22semidirect
87. C2×#441C22semidirect
88. C2×#440C22semidirect
89. C2×C4×D8C22semidirect
91. C2×#435C22semidirect
92. C2×#435C22semidirect
93. C2×#423C22semidirect
94. C2×#418C22semidirect
95. C2×#418C22semidirect
100. #2548C22semidirect
101. #2545C22semidirect
105. #2536C22semidirect
110. #2431C22semidirect
111. #2429C22semidirect
113. #2428C22semidirect
114. #2426C22semidirect
124. #2408C22semidirect
125. #2366C22semidirect
126. #2349C22semidirect
127. #2339C22semidirect
129. D4×C22⋊C4C22semidirect
130. C4×C22⋊Q8C22semidirect
133. #2068C22semidirect
134. #2067C22semidirect
135. #2067C22semidirect
136. #2065C22semidirect
137. #2056C22semidirect
138. #2055C22semidirect
139. #2055C22semidirect
140. #2054C22semidirect
141. #2042C22semidirect
142. #2042C22semidirect
143. #2034C22semidirect
144. #2034C22semidirect
145. #2034C22semidirect
146. #2033C22semidirect
147. #2015C22semidirect
148. #2014C22semidirect
149. #2014C22semidirect
150. #2013C22semidirect
151. #2013C22semidirect
152. #2012C22semidirect
153. #2012C22semidirect
154. #2012C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #2000C22semidirect
162. #2000C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1983C22semidirect
166. #1972C22semidirect
167. #1968C22semidirect
168. #1961C22semidirect
169. #1961C22semidirect
170. #1955C22semidirect
171. #1949C22semidirect
172. #1940C22semidirect
173. #1936C22semidirect
174. #1934C22semidirect
175. #1924C22semidirect
176. #1923C22semidirect
178. #1895C22semidirect
179. #1894C22semidirect
180. #1893C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1878C22semidirect
187. #1877C22semidirect
188. #1877C22semidirect
189. #1873C22semidirect
191. #1870C22semidirect
192. #1864C22semidirect
193. #1864C22semidirect
194. #1863C22semidirect
195. #1862C22semidirect
196. #1854C22semidirect
197. #1851C22semidirect
198. #1850C22semidirect
199. #1805C22semidirect
201. #1788C22semidirect
202. #1788C22semidirect
203. #1771C22semidirect
204. #1763C22semidirect
205. #1762C22semidirect
206. #1749C22semidirect
364. #459D4semidirect
368. #452D4semidirect
668. C2×Q16C2×D4semidirect
698. C2×SD16C2×D4semidirect
961. #103C2×D4semidirect
983. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32732
C2×#32682
C2×#32672
C2×#30382
#591242
#362182
#308602
#308512
#304742
#304582
#284812
#257702
#257252
#254022
#253782
#251682
#251622
#251362
#251162
#247572
#247492
#244502
#244422
#243662
#243642
#242542
#238642
#238612
#230082
#229882
#214572