Finite Group Databasebeta

← #7518949

Subgroups — #7518949

Order 512.

2930 conjugacy classes of subgroups.

The subgroup lattice has 1826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3265C211yesmaximal, characteristic, complemented
2C2×#3264C211yesmaximal, characteristic, complemented
3C2×#3058C211yesmaximal, characteristic, complemented
4C2×#3057C211yesmaximal, characteristic, complemented
5#45093C211yesmaximal, characteristic, complemented
6#44870C211yesmaximal, characteristic, complemented
7#30859C211yesmaximal, characteristic, complemented
8#30855C211yesmaximal, characteristic, complemented
9#30515C211yesmaximal, characteristic, complemented
10#30511C211yesmaximal, characteristic, complemented
11#28493C211yesmaximal, characteristic, complemented
12#25788C211yesmaximal, characteristic, complemented
13#25783C211yesmaximal, characteristic, complemented
14#25422C211yesmaximal, characteristic, complemented
15#25421C211yesmaximal, characteristic, complemented
16#25103C211yesmaximal, characteristic, complemented
17#25101C211yesmaximal, characteristic, complemented
18#25097C211yesmaximal, characteristic, complemented
19#25093C211yesmaximal, characteristic, complemented
20#24786C211yesmaximal, characteristic, complemented
21#24784C211yesmaximal, characteristic, complemented
22#24455C211yesmaximal, characteristic, complemented
23#24450C211yesmaximal, characteristic, complemented
24#24448C211yesmaximal, characteristic, complemented
25#24440C211yesmaximal, characteristic, complemented
26#24275C211yesmaximal, characteristic, complemented
27#23926C211yesmaximal, characteristic, complemented
28#23925C211yesmaximal, characteristic, complemented
29#23033C211yesmaximal, characteristic, complemented
30#23031C211yesmaximal, characteristic, complemented
31#21444C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×SD16C2211yescharacteristic, complemented
34C23×D8C2211yescharacteristic, complemented
35C22×#131C2211yescharacteristic, complemented
36C2×#548C2211yescharacteristic, complemented
37C2×#546C2211yescharacteristic, complemented
38C2×D42C2211yescharacteristic
39C2×D42C2211yescharacteristic, complemented
40C2×#536C2211yescharacteristic, complemented
41C2×#535C2211yescharacteristic
42C2×#535C2211yescharacteristic
43C2×#535C2211yescharacteristic, complemented
44#3265—28no—
45#3264—28no—
46C2×#496C2211yescharacteristic
47C2×#496C2211yescharacteristic
48C2×#496C2211yescharacteristic, complemented
49#3058—28no—
50#3057—28no—
51C2×#469C2211yescharacteristic
52C2×#469C2211yescharacteristic, complemented
53C2×#469C2211yescharacteristic, complemented
54C2×#469C2211yescharacteristic, complemented
55C2×#469C2211yescharacteristic, complemented
56C2×#468C2211yescharacteristic
57C2×#468C2211yescharacteristic, complemented
58C2×#468C2211yescharacteristic, complemented
59C2×#468C2211yescharacteristic, complemented
60C2×#468C2211yescharacteristic, complemented
61C2×#466C2211yescharacteristic
62C2×#466C2211yescharacteristic, complemented
63C2×#466C2211yescharacteristic, complemented
64C2×#466C2211yescharacteristic, complemented
65C2×#465C2211yescharacteristic
66C2×#465C2211yescharacteristic, complemented
67C2×#465C2211yescharacteristic, complemented
68C2×#465C2211yescharacteristic, complemented
69C2×#460C2211yescharacteristic, complemented
70C2×#463C2211yescharacteristic, complemented
71C2×#463C2211yescharacteristic, complemented
72C2×#459C2211yescharacteristic
73C2×#449C2211yescharacteristic, complemented
74C2×#449C2211yescharacteristic, complemented
75C2×#448C2211yescharacteristic, complemented
76C2×#448C2211yescharacteristic, complemented
77C2×#450C2211yescharacteristic, complemented
78C2×#450C2211yescharacteristic, complemented
79C2×#450C2211yescharacteristic, complemented
80C2×#447C2211yescharacteristic
81C2×#447C2211yescharacteristic
82C2×#447C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic, complemented
85C2×#442C2211yescharacteristic, complemented
86C2×#440C2211yescharacteristic, complemented
87C2×#435C2211yescharacteristic, complemented
88C2×#435C2211yescharacteristic, complemented
89C2×#435C2211yescharacteristic, complemented
90C2×#427C2211yescharacteristic, complemented
91C2×#427C2211yescharacteristic, complemented
92C2×#419C2211yescharacteristic, complemented
93C2×#418C2211yescharacteristic, complemented
94C2×#418C2211yescharacteristic, complemented
95C2×#418C2211yescharacteristic, complemented
96#2679—21no—
97#2678—21no—
98#2674—21no—
99#2673—21no—
100#2670—21no—
101#2670—21no—
102#2669—21no—
103#2669—21no—
104#2555—21no—
105#2541C2211yescharacteristic, complemented
106#2540C2211yescharacteristic, complemented
107#2491—21no—
108#2472—21no—
109#2445—21no—
110#2436C2211yescharacteristic, complemented
111#2435C2211yescharacteristic, complemented
112#2433—21no—
113#2433—21no—
114#2433C2211yescharacteristic
115#2433C2211yescharacteristic, complemented
116#2428C2211yescharacteristic, complemented
117#2428C2211yescharacteristic, complemented
118#2427C2211yescharacteristic, complemented
119#2426C2211yescharacteristic, complemented
120#2418—21no—
121#2415C2211yescharacteristic, complemented
122#2414C2211yescharacteristic
123#2414C2211yescharacteristic, complemented
124#2414C2211yescharacteristic, complemented
125#2408C2211yescharacteristic, complemented
126#2407C2211yescharacteristic, complemented
127#2403—21no—
128#2388C2211yescharacteristic
129#2363C2211yescharacteristic
130#2363C2211yescharacteristic, complemented
131#2363C2211yescharacteristic, complemented
132#2362C2211yescharacteristic, complemented
133#2067C2211yescharacteristic, complemented
134#2067C2211yescharacteristic, complemented
135#2066C2211yescharacteristic, complemented
136#2065C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2042C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2041C2211yescharacteristic, complemented
142#2041C2211yescharacteristic, complemented
143#2035C2211yescharacteristic, complemented
144#2034C2211yescharacteristic, complemented
145#2033C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2014C2211yescharacteristic, complemented
148#2014C2211yescharacteristic, complemented
149#2012C2211yescharacteristic, complemented
150#2012C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2011C2211yescharacteristic
154#2011C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#2000C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#1999C2211yescharacteristic, complemented
161#1999C2211yescharacteristic, complemented
162#1999C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1983C2211yescharacteristic, complemented
166#1982C2211yescharacteristic, complemented
167#1973C2211yescharacteristic, complemented
168#1973C2211yescharacteristic, complemented
169#1972C2211yescharacteristic, complemented
170#1972C2211yescharacteristic, complemented
171#1944C2211yescharacteristic, complemented
172#1943C2211yescharacteristic, complemented
173#1927C2211yescharacteristic, complemented
174#1926C2211yescharacteristic, complemented
175#1925C2211yescharacteristic, complemented
176#1925C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1875C2211yescharacteristic
182#1875C2211yescharacteristic, complemented
183#1875C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1875C2211yescharacteristic, complemented
187#1873C2211yescharacteristic, complemented
188#1873C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1870C2211yescharacteristic, complemented
191#1870C2211yescharacteristic, complemented
192#1865C2211yescharacteristic, complemented
193#1864C2211yescharacteristic, complemented
194#1862C2211yescharacteristic, complemented
195#1862C2211yescharacteristic, complemented
196#1851C2211yescharacteristic, complemented
197#1851C2211yescharacteristic, complemented
198#1851C2211yescharacteristic, complemented
199#1809C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1780C2211yescharacteristic, complemented
203#1776C2211yescharacteristic, complemented
204#1752C2211yescharacteristic, complemented
205#1752C2211yescharacteristic, complemented
206#1752C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C23×Q8C2311yescharacteristic
210C23×D4—21no—
211C23×D4—21no—
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C2×AGL(1,ℤ/8)—24no—
217C2×AGL(1,ℤ/8)—24no—
218C2×AGL(1,ℤ/8)—42no—
219C22×SD16—24no—
220C22×SD16—24no—
221C22×SD16—42no—
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×D8—24no—
231C22×D8—24no—
232C22×D8—42no—
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C2×#131—24no—
242C2×#131—24no—
243C2×#131—42no—
244C22×M16C2311yescharacteristic
245C22×M16C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C23×C8C2311yescharacteristic
249C23×C8C2311yescharacteristic
250C23×C8C2311yescharacteristic
251#548—24no—
252#548—42no—
253#546—24no—
254#546—42no—
255D42—24no—
256D42—24no—
257D42—42no—
258D42—42no—
259#536—24no—
260#536—42no—
261#535—24no—
262#535—24no—
263#535—24no—
264#535—42no—
265#535—42no—
266#535—42no—
267C2×C4⋊Q8—21no—
268C2×#127—21no—
269C2×#127—21no—
270C2×#127—21no—
271C2×#127—21no—
272C2×#127C2311yescharacteristic
273C2×#127C2311yescharacteristic
274C2×#127C2311yescharacteristic
275C2×#124—21no—
276C2×#124—21no—
277C2×#124—21no—
278C2×#124—21no—
279C2×#124—21no—
280C2×#124C2311yescharacteristic
281C2×#124C2311yescharacteristic
282C2×#124C2311yescharacteristic
283C2×#123—21no—
284C2×#123—21no—
285C2×#123—21no—
286C2×C22⋊Q8—21no—
287C2×C22⋊Q8C2311yescharacteristic
288C2×C22⋊Q8C2311yescharacteristic
289C2×C22⋊Q8C2311yescharacteristic
290C2×C22⋊Q8C2311yescharacteristic
291C2×C22⋊Q8C2311yescharacteristic
292C2×#121—21no—
293C2×#121—21no—
294C2×#121—21no—
295C2×#121—21no—
296C2×#121—21no—
297C2×#121—21no—
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#121C2311yescharacteristic
306C2×#121C2311yescharacteristic
307C2×#121C2311yescharacteristic
308C2×#121C2311yescharacteristic
309C2×#121C2311yescharacteristic
310C2×#121C2311yescharacteristic
311C2×#121C2311yescharacteristic
312C2×#121C2311yescharacteristic
313C2×#120—21no—
314C2×#120—21no—
315C2×#120—21no—
316C2×#120—21no—
317C2×#120—21no—
318C2×#120—21no—
319C2×#120—21no—
320C2×#120—21no—
321C2×#120—21no—
322C2×#120—21no—
323C2×#120—21no—
324C2×#120—21no—
325C2×#120—21no—
326C2×#120—21no—
327C2×#120—21no—
328C2×#120—21no—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×D4—21no—
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2311yescharacteristic
337C2×#117C2311yescharacteristic
338C2×#117C2311yescharacteristic
339C2×#117C2311yescharacteristic
340C2×#117C2311yescharacteristic
341C22×C22⋊C4—21no—
342#496—24no—
343#496—24no—
344#496—42no—
345#469—24no—
346#469—24no—
347#469—24no—
348#469—24no—
349#469—24no—
350#468—24no—
351#468—24no—
352#468—24no—
353#468—24no—
354#468—24no—
355#466—24no—
356#466—24no—
357#466—24no—
358#466D418yescomplemented
359#465—24no—
360#465—24no—
361#465—24no—
362#465D418yescomplemented
363#463—24no—
364#463—24no—
365#460—24no—
366#459—24no—
367#450—24no—
368#450—24no—
369#450—42no—
370#449—24no—
371#449—24no—
372#448—24no—
373#448—42no—
374#447—24no—
375#447—24no—
376#447—24no—
377#447—42no—
378#447—42no—
379#442—24no—
380#440—24no—
381#435—24no—
382#435—24no—
383#435—42no—
384#427—24no—
385#427—24no—
386C2×#107C2311yescharacteristic
387C2×#107C2311yescharacteristic
388C2×#107C2311yescharacteristic
389C2×#107C2311yescharacteristic
390C2×#106C2311yescharacteristic
391C2×#106C2311yescharacteristic
392C2×#106C2311yescharacteristic
393C2×#106C2311yescharacteristic
394C2×C4⋊C8C2311yescharacteristic
395C2×C4⋊C8C2311yescharacteristic
396C2×C4⋊C8C2311yescharacteristic
397#419—24no—
398#418—24no—
399#418—24no—
400#418—24no—
401C2×#103C2311yescharacteristic
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#102C2311yescharacteristic
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×#102C2311yescharacteristic
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×#97C2311yescharacteristic
445#399—21no—
446#397—21no—
447#397—21no—
448#396—21no—
449#395D411yescharacteristic
450#394—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#394—21no—
462#394D411yescharacteristic
463#394D411yescharacteristic
464#394D411yescharacteristic
465#393—21no—
466#393—21no—
467#393D411yescharacteristic
468#392—21no—
469#392—21no—
470#392—21no—
471#392—21no—
472#392—21no—
473#392—21no—
474#392—21no—
475#392—21no—
476#392—21no—
477#392—21no—
478#392—21no—
479#392—21no—
480#392—21no—
481#392—21no—
482#392D411yescharacteristic
483#392D411yescharacteristic
484#392D411yescharacteristic
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#390—21no—
488#390—21no—
489#390—21no—
490#390—21no—
491#390—21no—
492#390—21no—
493#390—21no—
494#390—21no—
495#390—21no—
496#390—21no—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#389—21no—
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#388—21no—
509#388—21no—
510#388—21no—
511#388—21no—
512#388—21no—
513#388—21no—
514#388—21no—
515#388—21no—
516#388—21no—
517#388—21no—
518#387—21no—
519#386—21no—
520#386—21no—
521#386—21no—
522#386—21no—
523#386—21no—
524#386—21no—
525#386—21no—
526#386—21no—
527#386—21no—
528#385—21no—
529#380—21no—
530#380C2311yescharacteristic
531#380C2311yescharacteristic
532#379—21no—
533#379—21no—
534#379—21no—
535C4×C4⋊C4—21no—
536C4×C4⋊C4C2311yescharacteristic
537C4×C4⋊C4C2311yescharacteristic
538C4×C22⋊C4—21no—
539C4×C22⋊C4—21no—
540C4×C22⋊C4—21no—
541C4×C22⋊C4C2311yescharacteristic
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—
561C25—21no—
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C22×Q8—21no—
575C22×Q8—22no—
576C22×Q8—22no—
577C22×Q8—22no—
578C22×Q8—41no—
579C22×Q8—41no—
580C22×Q8—41no—
581C22×Q8C2×D411yescharacteristic
582C22×Q8C2411yescharacteristic
583C22×Q8C2411yescharacteristic
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—22no—
588C22×D4—22no—
589C22×D4—22no—
590C22×D4—22no—
591C22×D4—22no—
592C22×D4—21no—
593C22×D4—21no—
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—22no—
606C22×D4—22no—
607C22×D4—22no—
608C22×D4—21no—
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—22no—
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—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—41no—
634C22×D4—44no—
635C22×D4—44no—
636C22×D4—82no—
637C22×D4—82no—
638C22×D4—82no—
639C22×D4—82no—
640C22×D4C2×D411yescharacteristic
641C22×D4C2×D411yescharacteristic
642C22×D4C2×D411yescharacteristic
643C22×D4C2×D411yescharacteristic
644C22×D4C2×D411yescharacteristic
645C22×D4C2×D411yescharacteristic
646C22×D4C2411yescharacteristic
647C22×D4C2411yescharacteristic
648C22×D4C2411yescharacteristic
649C22×D4C2411yescharacteristic
650C22×D4C2411yescharacteristic
651C22×D4C2411yescharacteristic
652C23×C4—21no—
653C23×C4—21no—
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661AGL(1,ℤ/8)—416no—
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—416no—
676C2×SD16—41no—
677C2×SD16—41no—
678C2×SD16—41no—
679C2×SD16—41no—
680C2×SD16—41no—
681C2×SD16—41no—
682C2×SD16—41no—
683C2×SD16—41no—
684C2×SD16—41no—
685C2×SD16—41no—
686C2×SD16C2×D414yes—
687C2×D8—22no—
688C2×D8—22no—
689C2×D8—22no—
690C2×D8—22no—
691C2×D8—22no—
692C2×D8—22no—
693C2×D8—22no—
694C2×D8—22no—
695C2×D8—22no—
696C2×D8—22no—
697C2×D8—22no—
698C2×D8—22no—
699C2×D8—22no—
700C2×D8—416no—
701C2×D8—41no—
702C2×D8—41no—
703C2×D8—41no—
704C2×D8—41no—
705C2×D8—41no—
706C2×D8—41no—
707C2×D8—41no—
708C2×D8—41no—
709C2×D8—41no—
710C2×D8—41no—
711C2×D8C2×D414yes—
712#131—416no—
713C2×M16—22no—
714C2×M16—22no—
715C2×M16—22no—
716C2×M16—22no—
717C2×M16—22no—
718C2×M16—22no—
719C2×M16—22no—
720C2×M16—22no—
721C2×M16—22no—
722C2×M16—41no—
723C2×M16—41no—
724C2×M16—41no—
725C22×C8—22no—
726C22×C8—22no—
727C22×C8—22no—
728C22×C8—22no—
729C22×C8—22no—
730C22×C8—22no—
731C22×C8—22no—
732C22×C8C2×D414yescomplemented
733C22×C8C2×D414yescomplemented
734C22×C8C2411yescharacteristic
735C22×C8C2411yescharacteristic
736C22×C8C2411yescharacteristic
737C22×C8C2411yescharacteristic
738C22×C8C2411yescharacteristic
739C22×C8C2411yescharacteristic
740C22×C8C2411yescharacteristic
741C22×C8C2411yescharacteristic
742C4⋊Q8—44no—
743#127—22no—
744#127—22no—
745#127—41no—
746#127—41no—
747#127—41no—
748#127—41no—
749#127—44no—
750#127—44no—
751#127—44no—
752#127—82no—
753#124—22no—
754#124—22no—
755#124—41no—
756#124—41no—
757#124—41no—
758#124—41no—
759#124—44no—
760#124—44no—
761#124—44no—
762#124—44no—
763#124—44no—
764#123—44no—
765#123—44no—
766#123—44no—
767C22⋊Q8—22no—
768C22⋊Q8—22no—
769C22⋊Q8—22no—
770C22⋊Q8—22no—
771C22⋊Q8—22no—
772C22⋊Q8—22no—
773C22⋊Q8—44no—
774C22⋊Q8—41no—
775C22⋊Q8—41no—
776C22⋊Q8—41no—
777C22⋊Q8C2×D414yescomplemented
778#121—22no—
779#121—22no—
780#121—22no—
781#121—22no—
782#121—22no—
783#121—22no—
784#121—22no—
785#121—22no—
786#121—22no—
787#121—22no—
788#121—22no—
789#121—22no—
790#121—22no—
791#121—22no—
792#121—22no—
793#121—22no—
794#121—22no—
795#121—22no—
796#121—44no—
797#121—44no—
798#121—44no—
799#121—41no—
800#121—41no—
801#121—41no—
802#121—41no—
803#121—41no—
804#121—41no—
805#121—41no—
806#121—41no—
807#121—41no—
808#121—44no—
809#121—82no—
810#121—82no—
811#121C2×D414yes—
812#121C2×D414yes—
813#121C2×D414yescomplemented
814#120—44no—
815#120—44no—
816#120—44no—
817#120—44no—
818#120—44no—
819#120—44no—
820#120—44no—
821#120—44no—
822#120—44no—
823#120—44no—
824#120—44no—
825#120—82no—
826#120—82no—
827#120—82no—
828#120—82no—
829#120—82no—
830C4×Q8—22no—
831C4×Q8—41no—
832C4×D4—22no—
833C4×D4—22no—
834C4×D4—22no—
835C4×D4—22no—
836C4×D4—22no—
837C4×D4—22no—
838C4×D4—22no—
839C4×D4—41no—
840C4×D4—41no—
841C4×D4—41no—
842C4×D4—41no—
843C4×D4—41no—
844C4×D4—44no—
845#117—22no—
846#117—22no—
847#117—22no—
848#117—22no—
849#117—41no—
850#117—41no—
851#117—41no—
852#117—41no—
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⋊C4—21no—
863C2×C4⋊C4C2×D411yescharacteristic
864C2×C4⋊C4C2×D411yescharacteristic
865C2×C4⋊C4C2×D411yescharacteristic
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2411yescharacteristic
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2411yescharacteristic
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—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—44no—
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×C22⋊C4C2×D411yescharacteristic
929C2×C22⋊C4C2×D411yescharacteristic
930C2×C22⋊C4C2×D411yescharacteristic
931C2×C22⋊C4C2×D411yescharacteristic
932C2×C22⋊C4C2×D411yescharacteristic
933C2×C22⋊C4C2×D411yescharacteristic
934C2×C42—21no—
935C2×C42—21no—
936C2×C42—21no—
937C2×C42—21no—
938C2×C42—21no—
939C2×C42—21no—
940C2×C42—21no—
941C2×C42C2411yescharacteristic
942C2×C42C2411yescharacteristic
943C2×C42C2411yescharacteristic
944#107—22no—
945#107—22no—
946#107—22no—
947#107C2×D414yescomplemented
948#106—22no—
949#106—22no—
950#106—22no—
951#106C2×D414yescomplemented
952C4⋊C8—22no—
953C4⋊C8—22no—
954C4⋊C8—41no—
955#103—22no—
956#103—22no—
957#103—22no—
958#103—22no—
959#103—22no—
960#103—41no—
961#103—41no—
962#103C2×D414yescomplemented
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—22no—
977#102—22no—
978#102—41no—
979#102—41no—
980#102—41no—
981#102—41no—
982#102—41no—
983#102—41no—
984#102C2×D414yes—
985#102C2×D414yes—
986#102C2×D414yescomplemented
987C22⋊C8—22no—
988C22⋊C8—22no—
989C22⋊C8—22no—
990C22⋊C8—22no—
991C22⋊C8—22no—
992C22⋊C8—22no—
993C22⋊C8—41no—
994C22⋊C8—41no—
995C22⋊C8—41no—
996#97—22no—
997#97—22no—
998#97—22no—
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—81no—
1033C24—81no—
1034C24—81no—
1035C24—81no—
1036C24—81no—
1037C24—81no—
1038C24—81no—
1039C24—81no—
1040C24—81no—
1041C24—81no—
1042C24—81no—
1043C24—81no—
1044C24—81no—
1045C24—81no—
1046C24—81no—
1047C24—81no—
1048C24—81no—
1049C24—81no—
1050C24—81no—
1051C24C22×D411yescharacteristic
1052C24C22×D411yescharacteristic
1053C24C22×D411yescharacteristic
1054C24C22×D411yescharacteristic
1055#41—44no—
1056#41—44no—
1057#41—44no—
1058#41—44no—
1059#41—44no—
1060#41—82no—
1061#41—82no—
1062#41—82no—
1063C2×Q8—22no—
1064C2×Q8—22no—
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—41no—
1077C2×Q8—42no—
1078C2×Q8—44no—
1079C2×Q8—44no—
1080C2×Q8—42no—
1081C2×Q8—81no—
1082C2×Q8—82no—
1083C2×Q8—82no—
1084C2×Q8C22×D412yes—
1085C2×D4—22no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—22no—
1089C2×D4—22no—
1090C2×D4—22no—
1091C2×D4—24no—
1092C2×D4—24no—
1093C2×D4—24no—
1094C2×D4—22no—
1095C2×D4—22no—
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—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—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
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—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—44no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—82no—
1178C2×D4—82no—
1179C2×D4—82no—
1180C2×D4—82no—
1181C2×D4—82no—
1182C2×D4—82no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
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—82no—
1199C2×D4—82no—
1200C2×D4—82no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4—81no—
1204C2×D4—81no—
1205C2×D4—81no—
1206C2×D4—81no—
1207C2×D4—81no—
1208C2×D4—81no—
1209C2×D4—81no—
1210C2×D4—81no—
1211C2×D4—81no—
1212C2×D4—81no—
1213C2×D4—81no—
1214C2×D4—81no—
1215C2×D4—81no—
1216C2×D4—81no—
1217C2×D4—81no—
1218C2×D4—81no—
1219C2×D4—81no—
1220C2×D4—81no—
1221C2×D4—81no—
1222C2×D4—81no—
1223C2×D4—81no—
1224C2×D4—81no—
1225C2×D4—81no—
1226C2×D4—81no—
1227C2×D4—81no—
1228C2×D4—81no—
1229C2×D4—81no—
1230C2×D4—816no—
1231C2×D4—816no—
1232C2×D4C22×D412yes—
1233C2×D4C22×D412yes—
1234C2×D4C22×D412yes—
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—21no—
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—42no—
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—81no—
1275C22×C4—81no—
1276C22×C4—81no—
1277C22×C4—81no—
1278C22×C4—81no—
1279C22×C4—81no—
1280C22×C4C22×D411yescharacteristic
1281C22×C4C22×D411yescharacteristic
1282C22×C4C22×D411yescharacteristic
1283C22×C4C22×D411yescharacteristic
1284C22×C4C22×D411yescharacteristic
1285C22×C4C22×D411yescharacteristic
1286C22×C4C22×D411yescharacteristic
1287C22×C4C22×D411yescharacteristic
1288C22×C4C22×D411yescharacteristic
1289C22×C4C22×D411yescharacteristic
1290C22×C4C22×D412yes—
1291C22×C4C22×D412yes—
1292C22×C4H(5,𝔽2)12yes—
1293C22×C4H(5,𝔽2)12yes—
1294C22×C4C2511yescharacteristic
1295SD16—28no—
1296SD16—44no—
1297SD16—44no—
1298SD16—44no—
1299SD16—44no—
1300SD16—82no—
1301SD16—82no—
1302SD16—82no—
1303D8—28no—
1304D8—44no—
1305D8—44no—
1306D8—44no—
1307D8—44no—
1308D8—82no—
1309D8—82no—
1310D8—82no—
1311M16—44no—
1312M16—44no—
1313M16—44no—
1314M16—44no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—21no—
1318C2×C8—21no—
1319C2×C8—28no—
1320C2×C8—28no—
1321C2×C8—21no—
1322C2×C8—21no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—21no—
1326C2×C8—21no—
1327C2×C8—21no—
1328C2×C8—21no—
1329C2×C8—21no—
1330C2×C8—21no—
1331C2×C8—21no—
1332C2×C8—21no—
1333C2×C8—21no—
1334C2×C8—21no—
1335C2×C8—21no—
1336C2×C8—44no—
1337C2×C8C22×D412yes—
1338C2×C8C22×D412yes—
1339C2×C8C22×D412yes—
1340C2×C8C22×D412yes—
1341C2×C8H(5,𝔽2)12yes—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—41no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—81no—
1364C4⋊C4—81no—
1365C4⋊C4—81no—
1366C4⋊C4—81no—
1367C4⋊C4C22×D412yes—
1368C4⋊C4C22×D412yes—
1369C4⋊C4C22×D412yes—
1370C4⋊C4C22×D412yes—
1371C22⋊C4—24no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
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—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—81no—
1419C22⋊C4—81no—
1420C22⋊C4—81no—
1421C22⋊C4—81no—
1422C22⋊C4—81no—
1423C22⋊C4—81no—
1424C22⋊C4—81no—
1425C22⋊C4—81no—
1426C22⋊C4—81no—
1427C22⋊C4—81no—
1428C22⋊C4—81no—
1429C22⋊C4—81no—
1430C42—21no—
1431C42—21no—
1432C42—21no—
1433C42—21no—
1434C42—21no—
1435C42—21no—
1436C42—42no—
1437C42—42no—
1438C42—42no—
1439C42—42no—
1440C42—42no—
1441C42—81no—
1442C42—81no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
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—41no—
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—84no—
1512C23—84no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23—84no—
1517C23—84no—
1518C23—84no—
1519C23—84no—
1520C23—162no—
1521C23—162no—
1522C23—162no—
1523C23—162no—
1524C23—162no—
1525C23—162no—
1526C23—162no—
1527C23—162no—
1528C23—162no—
1529C23—162no—
1530C23—162no—
1531C23—162no—
1532C23—162no—
1533C23—162no—
1534C23—162no—
1535C23—162no—
1536C23—162no—
1537C23—162no—
1538C23—162no—
1539C23D4212yes—
1540C23D4212yes—
1541C23C23×D411yescharacteristic
1542Q8—22no—
1543Q8—22no—
1544Q8—44no—
1545Q8—41no—
1546Q8—41no—
1547Q8—41no—
1548Q8—41no—
1549Q8—41no—
1550Q8—41no—
1551Q8—84no—
1552D4—22no—
1553D4—22no—
1554D4—22no—
1555D4—22no—
1556D4—22no—
1557D4—22no—
1558D4—44no—
1559D4—44no—
1560D4—44no—
1561D4—44no—
1562D4—44no—
1563D4—41no—
1564D4—41no—
1565D4—41no—
1566D4—41no—
1567D4—41no—
1568D4—41no—
1569D4—41no—
1570D4—41no—
1571D4—41no—
1572D4—41no—
1573D4—41no—
1574D4—41no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—41no—
1579D4—41no—
1580D4—41no—
1581D4—84no—
1582D4—84no—
1583D4—84no—
1584D4—84no—
1585D4—84no—
1586D4—84no—
1587D4—82no—
1588D4—84no—
1589D4—84no—
1590D4—84no—
1591D4—84no—
1592D4—84no—
1593D4—84no—
1594D4—162no—
1595D4—162no—
1596D4—162no—
1597D4—162no—
1598D4—162no—
1599D4—162no—
1600D4—162no—
1601D4—162no—
1602D4—162no—
1603D4—162no—
1604D4—162no—
1605D4—162no—
1606D4—162no—
1607D4—162no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
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—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
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—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—84no—
1683C2×C4—84no—
1684C2×C4—84no—
1685C2×C4—84no—
1686C2×C4—162no—
1687C2×C4D4212yes—
1688C2×C4D4212yes—
1689C2×C4C23×D411yescharacteristic
1690C2×C4C23×D411yescharacteristic
1691C2×C4C2×H(5,𝔽2)11yescharacteristic
1692C2×C4C2×H(5,𝔽2)11yescharacteristic
1693C2×C4C2×H(5,𝔽2)11yescharacteristic
1694C2×C4#58511yescharacteristic
1695C8—22no—
1696C8—22no—
1697C8—41no—
1698C8—41no—
1699C8—41no—
1700C8—41no—
1701C8—41no—
1702C8D4214yes—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—42no—
1728C22—42no—
1729C22—41no—
1730C22—41no—
1731C22—42no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—41no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—81no—
1747C22—81no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22—81no—
1757C22—81no—
1758C22—81no—
1759C22—81no—
1760C22—81no—
1761C22—81no—
1762C22—81no—
1763C22—81no—
1764C22—81no—
1765C22—81no—
1766C22—81no—
1767C22—81no—
1768C22—81no—
1769C22—81no—
1770C22—81no—
1771C22—81no—
1772C22—81no—
1773C22—168no—
1774C22—168no—
1775C22—168no—
1776C22—168no—
1777C22C2×D4211yescharacteristic
1778C22C2×D4211yescharacteristic
1779C22#349611yescharacteristic
1780C22#358511yescharacteristic
1781C22#358511yescharacteristic
1782C22#358511yescharacteristic
1783C22#358511yescharacteristic
1784C4—22no—
1785C4—22no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—42no—
1790C4—41no—
1791C4—41no—
1792C4—42no—
1793C4—42no—
1794C4—41no—
1795C4—42no—
1796C4—41no—
1797C4—41no—
1798C4—42no—
1799C4—81no—
1800C4—81no—
1801C4—81no—
1802C4—81no—
1803C4—81no—
1804C4C2×D4211yescharacteristic
1805C4#348811yescharacteristic
1806C4#348811yescharacteristic
1807C4#353711yescharacteristic
1808C2—42no—
1809C2—42no—
1810C2—81no—
1811C2—81no—
1812C2—82no—
1813C2—82no—
1814C2—82no—
1815C2—161no—
1816C2—161no—
1817C2—161no—
1818C2#5899711yescharacteristic
1819C2#6105811yescharacteristic
1820C2#6105911yescharacteristic
1821C2#6108211yescharacteristic
1822C2#6108211yescharacteristic
1823C2#6228611yescharacteristic
1824C2#6233611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
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×#3265C2semidirect
2. C2×#3264C2semidirect
3. C2×#3058C2semidirect
4. C2×#3057C2semidirect
5. #45093C2semidirect
6. #44870C2semidirect
7. #30859C2semidirect
8. #30855C2semidirect
9. #30515C2semidirect
10. #30511C2semidirect
11. #28493C2semidirect
12. #25788C2semidirect
13. #25783C2semidirect
14. #25422C2semidirect
15. #25421C2semidirect
16. #25103C2semidirect
17. #25101C2semidirect
18. #25097C2semidirect
19. #25093C2semidirect
20. #24786C2semidirect
21. #24784C2semidirect
22. #24455C2semidirect
23. #24450C2semidirect
24. #24448C2semidirect
25. #24440C2semidirect
26. #24275C2semidirect
27. #23926C2semidirect
28. #23925C2semidirect
29. #23033C2semidirect
30. #23031C2semidirect
31. #21444C2semidirect
33. C23×SD16C22semidirect
34. C23×D8C22semidirect
35. C22×#131C22semidirect
36. C2×#548C22semidirect
37. C2×#546C22semidirect
39. C2×D42C22semidirect
40. C2×#536C22semidirect
43. C2×#535C22semidirect
48. C2×#496C22semidirect
52. C2×#469C22semidirect
53. C2×#469C22semidirect
54. C2×#469C22semidirect
55. C2×#469C22semidirect
57. C2×#468C22semidirect
58. C2×#468C22semidirect
59. C2×#468C22semidirect
60. C2×#468C22semidirect
62. C2×#466C22semidirect
63. C2×#466C22semidirect
64. C2×#466C22semidirect
66. C2×#465C22semidirect
67. C2×#465C22semidirect
68. C2×#465C22semidirect
69. C2×#460C22semidirect
70. C2×#463C22semidirect
71. C2×#463C22semidirect
73. C2×#449C22semidirect
74. C2×#449C22semidirect
75. C2×#448C22semidirect
76. C2×#448C22semidirect
77. C2×#450C22semidirect
78. C2×#450C22semidirect
79. C2×#450C22semidirect
82. C2×#447C22semidirect
83. C2×#447C22semidirect
84. C2×#447C22semidirect
85. C2×#442C22semidirect
86. C2×#440C22semidirect
87. C2×#435C22semidirect
88. C2×#435C22semidirect
89. C2×#435C22semidirect
90. C2×#427C22semidirect
91. C2×#427C22semidirect
92. C2×#419C22semidirect
93. C2×#418C22semidirect
94. C2×#418C22semidirect
95. C2×#418C22semidirect
105. #2541C22semidirect
106. #2540C22semidirect
110. #2436C22semidirect
111. #2435C22semidirect
115. #2433C22semidirect
116. #2428C22semidirect
117. #2428C22semidirect
118. #2427C22semidirect
119. #2426C22semidirect
121. #2415C22semidirect
123. #2414C22semidirect
124. #2414C22semidirect
125. #2408C22semidirect
126. #2407C22semidirect
130. #2363C22semidirect
131. #2363C22semidirect
132. #2362C22semidirect
133. #2067C22semidirect
134. #2067C22semidirect
135. #2066C22semidirect
136. #2065C22semidirect
137. #2055C22semidirect
138. #2054C22semidirect
139. #2042C22semidirect
140. #2042C22semidirect
141. #2041C22semidirect
142. #2041C22semidirect
143. #2035C22semidirect
144. #2034C22semidirect
145. #2033C22semidirect
146. #2033C22semidirect
147. #2014C22semidirect
148. #2014C22semidirect
149. #2012C22semidirect
150. #2012C22semidirect
151. #2012C22semidirect
152. #2012C22semidirect
154. #2011C22semidirect
155. #2000C22semidirect
156. #2000C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #1999C22semidirect
161. #1999C22semidirect
162. #1999C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1983C22semidirect
166. #1982C22semidirect
167. #1973C22semidirect
168. #1973C22semidirect
169. #1972C22semidirect
170. #1972C22semidirect
171. #1944C22semidirect
172. #1943C22semidirect
173. #1927C22semidirect
174. #1926C22semidirect
175. #1925C22semidirect
176. #1925C22semidirect
177. #1880C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1877C22semidirect
182. #1875C22semidirect
183. #1875C22semidirect
184. #1875C22semidirect
185. #1875C22semidirect
186. #1875C22semidirect
187. #1873C22semidirect
188. #1873C22semidirect
189. #1870C22semidirect
190. #1870C22semidirect
191. #1870C22semidirect
192. #1865C22semidirect
193. #1864C22semidirect
194. #1862C22semidirect
195. #1862C22semidirect
196. #1851C22semidirect
197. #1851C22semidirect
198. #1851C22semidirect
199. #1809C22semidirect
200. #1788C22semidirect
201. #1786C22semidirect
202. #1780C22semidirect
203. #1776C22semidirect
204. #1752C22semidirect
205. #1752C22semidirect
206. #1752C22semidirect
358. #466D4semidirect
362. #465D4semidirect
732. C22×C8C2×D4semidirect
733. C22×C8C2×D4semidirect
777. C22⋊Q8C2×D4semidirect
813. #121C2×D4semidirect
947. #107C2×D4semidirect
951. #106C2×D4semidirect
962. #103C2×D4semidirect
986. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32652
C2×#32642
C2×#30582
C2×#30572
#450932
#448702
#308592
#308552
#305152
#305112
#284932
#257882
#257832
#254222
#254212
#251032
#251012
#250972
#250932
#247862
#247842
#244552
#244502
#244482
#244402
#242752
#239262
#239252
#230332
#230312
#214442