Finite Group Databasebeta

← #7147140

Subgroups — #7147140

Order 512.

2245 conjugacy classes of subgroups.

The subgroup lattice has 1610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59816C211yesmaximal, characteristic, complemented
2#39996C211yesmaximal, characteristic, complemented
3#32021C211yesmaximal, characteristic, complemented
4#31996C211yesmaximal, characteristic, complemented
5#31681C211yesmaximal, characteristic, complemented
6#31676C211yesmaximal, characteristic, complemented
7#31413C211yesmaximal, characteristic, complemented
8#31382C211yesmaximal, characteristic, complemented
9#31036C211yesmaximal, characteristic, complemented
10#31032C211yesmaximal, characteristic, complemented
11#29195C211yesmaximal, characteristic, complemented
12#29127C211yesmaximal, characteristic, complemented
13#28237C211yesmaximal, characteristic, complemented
14#28152C211yesmaximal, characteristic, complemented
15#28107C211yesmaximal, characteristic, complemented
16#28100C211yesmaximal, characteristic, complemented
17#25124C211yesmaximal, characteristic, complemented
18#25116C211yesmaximal, characteristic, complemented
19#25026C211yesmaximal, characteristic, complemented
20#24982C211yesmaximal, characteristic, complemented
21#24440C211yesmaximal, characteristic, complemented
22#24424C211yesmaximal, characteristic, complemented
23#24248C211yesmaximal, characteristic, complemented
24#24248C211yesmaximal, characteristic, complemented
25#24044C211yesmaximal, characteristic, complemented
26#24033C211yesmaximal, characteristic, complemented
27#23682C211yesmaximal, characteristic, complemented
28#23175C211yesmaximal, characteristic, complemented
29#22423C211yesmaximal, characteristic, complemented
30#22423C211yesmaximal, characteristic, complemented
31#22151C211yesmaximal, characteristic, complemented
32C2×D42—21no—
33C2×D42C2211yescharacteristic
34C2×D42C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#481C2211yescharacteristic, complemented
38C2×#482C2211yescharacteristic, complemented
39C2×#469C2211yescharacteristic, complemented
40C2×#466C2211yescharacteristic, complemented
41C2×#459C2211yescharacteristic
42C2×#447C2211yescharacteristic, complemented
43C2×#447C2211yescharacteristic, complemented
44C2×#447C2211yescharacteristic, complemented
45C2×#447C2211yescharacteristic, complemented
46C2×#442C2211yescharacteristic, complemented
47C2×#442C2211yescharacteristic, complemented
48C2×#435C2211yescharacteristic, complemented
49C2×#435C2211yescharacteristic, complemented
50C2×#435C2211yescharacteristic, complemented
51C2×#435C2211yescharacteristic, complemented
52C2×#418C2211yescharacteristic, complemented
53C2×#418C2211yescharacteristic, complemented
54C22×#102C2211yescharacteristic, complemented
55C22×#102C2211yescharacteristic, complemented
56#2864C2211yescharacteristic, complemented
57#2797—21no—
58#2793—21no—
59#2752—21no—
60#2679—21no—
61#2679—21no—
62#2673—21no—
63#2648—21no—
64#2537—21no—
65#2537C2211yescharacteristic
66#2537C2211yescharacteristic
67#2537C2211yescharacteristic
68#2537C2211yescharacteristic
69#2535C2211yescharacteristic, complemented
70#2535C2211yescharacteristic, complemented
71#2487C2211yescharacteristic, complemented
72#2486C2211yescharacteristic, complemented
73#2485C2211yescharacteristic, complemented
74#2485C2211yescharacteristic, complemented
75#2476—21no—
76#2471—21no—
77#2416C2211yescharacteristic, complemented
78#2416C2211yescharacteristic, complemented
79#2414C2211yescharacteristic, complemented
80#2414C2211yescharacteristic, complemented
81#2408—21no—
82#2408—21no—
83#2408—21no—
84#2408—21no—
85#2408C2211yescharacteristic
86#2408C2211yescharacteristic
87#2408C2211yescharacteristic
88#2408C2211yescharacteristic
89#2352C2211yescharacteristic, complemented
90#2352C2211yescharacteristic, complemented
91#2333—21no—
92C4×#127C2211yescharacteristic
93C4×#127C2211yescharacteristic
94C4×#127C2211yescharacteristic
95#2293C2211yescharacteristic, complemented
96#2099C2211yescharacteristic, complemented
97#2099C2211yescharacteristic, complemented
98#2084C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2077C2211yescharacteristic, complemented
103#2077C2211yescharacteristic, complemented
104#2075C2211yescharacteristic, complemented
105#2071C2211yescharacteristic, complemented
106#2067C2211yescharacteristic, complemented
107#2067C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2065C2211yescharacteristic, complemented
110#2065C2211yescharacteristic, complemented
111#2065C2211yescharacteristic, complemented
112#2054C2211yescharacteristic, complemented
113#2054C2211yescharacteristic, complemented
114#2041C2211yescharacteristic
115#2041C2211yescharacteristic
116#2041C2211yescharacteristic
117#2034C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2034C2211yescharacteristic, complemented
120#2034C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2034C2211yescharacteristic, complemented
123#2034C2211yescharacteristic, complemented
124#2034C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2033C2211yescharacteristic, complemented
127#2033C2211yescharacteristic, complemented
128#2033C2211yescharacteristic, complemented
129#2011C2211yescharacteristic
130#1999C2211yescharacteristic, complemented
131#1999C2211yescharacteristic, complemented
132#1999C2211yescharacteristic, complemented
133#1999C2211yescharacteristic, complemented
134#1999C2211yescharacteristic, complemented
135#1999C2211yescharacteristic, complemented
136#1982C2211yescharacteristic
137#1972C2211yescharacteristic, complemented
138#1972C2211yescharacteristic, complemented
139#1961C2211yescharacteristic
140#1961C2211yescharacteristic
141#1955C2211yescharacteristic, complemented
142#1955C2211yescharacteristic, complemented
143#1955C2211yescharacteristic, complemented
144#1955C2211yescharacteristic, complemented
145#1948C2211yescharacteristic, complemented
146#1936C2211yescharacteristic, complemented
147#1936C2211yescharacteristic, complemented
148#1936C2211yescharacteristic, complemented
149#1936C2211yescharacteristic, complemented
150#1936C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1895C2211yescharacteristic, complemented
153#1895C2211yescharacteristic, complemented
154#1895C2211yescharacteristic, complemented
155#1895C2211yescharacteristic, complemented
156#1893C2211yescharacteristic, complemented
157#1893C2211yescharacteristic, complemented
158#1893C2211yescharacteristic, complemented
159#1893C2211yescharacteristic, complemented
160#1879C2211yescharacteristic, complemented
161#1879C2211yescharacteristic, complemented
162#1875C2211yescharacteristic, complemented
163#1875C2211yescharacteristic, complemented
164#1875C2211yescharacteristic, complemented
165#1874C2211yescharacteristic, complemented
166#1874C2211yescharacteristic, complemented
167#1874C2211yescharacteristic, complemented
168#1870C2211yescharacteristic, complemented
169#1870C2211yescharacteristic, complemented
170#1869C2211yescharacteristic, complemented
171#1869C2211yescharacteristic, complemented
172#1864C2211yescharacteristic, complemented
173#1864C2211yescharacteristic, complemented
174#1864C2211yescharacteristic, complemented
175#1864C2211yescharacteristic, complemented
176#1862C2211yescharacteristic, complemented
177#1862C2211yescharacteristic, complemented
178#1854C2211yescharacteristic, complemented
179#1853C2211yescharacteristic, complemented
180#1847C2211yescharacteristic, complemented
181#1836C2211yescharacteristic, complemented
182#1825C2211yescharacteristic, complemented
183#1823C2211yescharacteristic, complemented
184#1809C2211yescharacteristic, complemented
185#1807C2211yescharacteristic, complemented
186#1804C2211yescharacteristic, complemented
187#1804C2211yescharacteristic, complemented
188#1804C2211yescharacteristic, complemented
189#1804C2211yescharacteristic, complemented
190#1802C2211yescharacteristic, complemented
191#1786C2211yescharacteristic, complemented
192#1786C2211yescharacteristic, complemented
193#1786C2211yescharacteristic, complemented
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1767C2211yescharacteristic, complemented
200#1767C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4—21no—
205C23×D4—21no—
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219D42—24no—
220D42—24no—
221D42—42no—
222D42—42no—
223D42—42no—
224D42—42no—
225D42—42no—
226D42—42no—
227D42—48no—
228C2×#127D411yescharacteristic
229C2×#127C2311yescharacteristic
230C2×#127C2311yescharacteristic
231C2×#123—21no—
232C2×#121—21no—
233C2×#121—21no—
234C2×#121—21no—
235C2×#121—21no—
236C2×#121—21no—
237C2×#121—21no—
238C2×#121—21no—
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#120—21no—
255C2×#120—21no—
256C2×#120—21no—
257C2×#120—21no—
258C2×#120—21no—
259C2×#120—21no—
260C2×#120—21no—
261C2×#120—21no—
262C2×#120—21no—
263C2×#120—21no—
264C2×#120—21no—
265C2×#120—21no—
266C2×C4×D4—21no—
267C2×C4×D4—21no—
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×#117—21no—
282C2×#117C2311yescharacteristic
283C2×#117C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286#482—42no—
287#481—42no—
288#469—42no—
289#466—42no—
290#459—24no—
291#447—42no—
292#447—42no—
293#447—42no—
294#447—42no—
295#442—42no—
296#442—42no—
297#435—42no—
298#435—42no—
299#435—42no—
300#435—42no—
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×#106C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311C2×C4⋊C8C2311yescharacteristic
312C2×C4⋊C8C2311yescharacteristic
313#418—42no—
314#418—42no—
315C2×#102—42no—
316C2×#102—42no—
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×#97C2311yescharacteristic
362C2×#97C2311yescharacteristic
363C2×#97C2311yescharacteristic
364C2×#97C2311yescharacteristic
365#400—21no—
366#399—21no—
367#398—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#397—21no—
373#396—21no—
374#396—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#392—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392—21no—
398#392—21no—
399#392—21no—
400#392—21no—
401#390—21no—
402#390—21no—
403#390—21no—
404#390—21no—
405#390—21no—
406#390—21no—
407#390D411yescharacteristic
408#390D411yescharacteristic
409#390D411yescharacteristic
410#390D411yescharacteristic
411#390D411yescharacteristic
412#390D411yescharacteristic
413#390C2311yescharacteristic
414#390C2311yescharacteristic
415#390C2311yescharacteristic
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#389C2311yescharacteristic
420#389C2311yescharacteristic
421#389C2311yescharacteristic
422#389C2311yescharacteristic
423#389C2311yescharacteristic
424#389C2311yescharacteristic
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#387—21no—
434#387—21no—
435#387—21no—
436#387—21no—
437#387—21no—
438#387—21no—
439#387—21no—
440#387—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#385—21no—
451#384D411yescharacteristic
452#384C2311yescharacteristic
453#384C2311yescharacteristic
454#382C2311yescharacteristic
455#382C2311yescharacteristic
456#381—21no—
457#380—21no—
458#380—21no—
459#380—21no—
460#380—21no—
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#379—21no—
474#379—21no—
475#379—21no—
476#379—21no—
477C4×C4⋊C4C2311yescharacteristic
478C4×C22⋊C4—21no—
479C4×C22⋊C4—21no—
480C4×C22⋊C4—21no—
481C43C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506C25—21no—
507C25—21no—
508C25—21no—
509C25—21no—
510C22×D4—22no—
511C22×D4—22no—
512C22×D4—22no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—22no—
516C22×D4—22no—
517C22×D4—22no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—44no—
555C22×D4—44no—
556C22×D4—44no—
557C22×D4—44no—
558C22×D4—44no—
559C22×D4—44no—
560C22×D4—44no—
561C22×D4—44no—
562C22×D4—82no—
563C22×D4—82no—
564C22×D4—82no—
565C22×D4—82no—
566C22×D4C2×D411yescharacteristic
567C22×D4C2×D411yescharacteristic
568C22×D4C2×D411yescharacteristic
569C22×D4C2×D411yescharacteristic
570C22×D4C2×D411yescharacteristic
571C22×D4C2×D411yescharacteristic
572C22×D4C2411yescharacteristic
573C22×D4C2411yescharacteristic
574C22×D4C2411yescharacteristic
575C22×D4C2411yescharacteristic
576C22×D4C2411yescharacteristic
577C23×C4—21no—
578C23×C4—21no—
579C23×C4—21no—
580C23×C4—21no—
581C23×C4—21no—
582C23×C4—21no—
583C23×C4—21no—
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588C2×D8—22no—
589C2×D8—22no—
590C2×D8—22no—
591C2×D8—22no—
592C2×D8—22no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×M16—22no—
601C2×M16—41no—
602C2×M16—41no—
603C2×M16—41no—
604C2×M16—41no—
605C2×M16—41no—
606C22×C8—22no—
607C22×C8—41no—
608C22×C8—41no—
609C22×C8—41no—
610C22×C8—41no—
611C22×C8—41no—
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620#127—24no—
621#127—22no—
622#127—22no—
623#127—22no—
624#127#4114yes—
625#123—82no—
626#121—22no—
627#121—22no—
628#121—22no—
629#121—22no—
630#121—22no—
631#121—22no—
632#121—22no—
633#121—22no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—41no—
640#121—41no—
641#121—41no—
642#121—44no—
643#121—44no—
644#121—44no—
645#121—44no—
646#121—44no—
647#121—44no—
648#121—44no—
649#121—44no—
650#121—44no—
651#121—41no—
652#121—41no—
653#121—41no—
654#121—41no—
655#121—41no—
656#121—41no—
657#121—41no—
658#121—41no—
659#121—82no—
660#120—44no—
661#120—44no—
662#120—44no—
663#120—44no—
664#120—44no—
665#120—44no—
666#120—44no—
667#120—44no—
668#120—44no—
669#120—44no—
670#120—44no—
671#120—44no—
672C4×D4—22no—
673C4×D4—22no—
674C4×D4—22no—
675C4×D4—22no—
676C4×D4—22no—
677C4×D4—22no—
678C4×D4—22no—
679C4×D4—22no—
680C4×D4—22no—
681C4×D4—22no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—41no—
689C4×D4—41no—
690C4×D4—41no—
691C4×D4—41no—
692C4×D4—41no—
693C4×D4—41no—
694C4×D4—44no—
695C4×D4—44no—
696C4×D4—82no—
697C4×D4—82no—
698#117—41no—
699#117—41no—
700#117—41no—
701#117—41no—
702#117—82no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—41no—
716C2×C4⋊C4—41no—
717C2×C4⋊C4—41no—
718C2×C4⋊C4—41no—
719C2×C4⋊C4C2×D411yescharacteristic
720C2×C4⋊C4C2×D411yescharacteristic
721C2×C4⋊C4C2×D411yescharacteristic
722C2×C4⋊C4C2×D411yescharacteristic
723C2×C4⋊C4C2×D411yescharacteristic
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C22⋊C4C2×D411yescharacteristic
790C2×C22⋊C4C2×D411yescharacteristic
791C2×C42—21no—
792C2×C42—21no—
793C2×C42—21no—
794C2×C42C2×D411yescharacteristic
795C2×C42C2×D411yescharacteristic
796C2×C42C2×D411yescharacteristic
797C2×C42C2×D411yescharacteristic
798C2×C42C2411yescharacteristic
799C2×C42C2411yescharacteristic
800C2×C42C2411yescharacteristic
801#107—41no—
802#107—41no—
803#106—41no—
804#106—41no—
805#106—41no—
806#106—41no—
807#106—41no—
808#106—41no—
809C4⋊C8—22no—
810C4⋊C8—22no—
811C4⋊C8—22no—
812C4⋊C8—41no—
813#102—22no—
814#102—22no—
815#102—22no—
816#102—22no—
817#102—22no—
818#102—22no—
819#102—22no—
820#102—22no—
821#102—22no—
822#102—22no—
823#102—22no—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839#102—41no—
840#102—41no—
841#102—41no—
842#102—41no—
843#102—41no—
844#102—41no—
845C22⋊C8—22no—
846C22⋊C8—22no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849C22⋊C8—41no—
850C22⋊C8—41no—
851C22⋊C8—41no—
852C22⋊C8—41no—
853C22⋊C8—41no—
854C22⋊C8—41no—
855C22⋊C8—41no—
856C22⋊C8—41no—
857#97—22no—
858#97—22no—
859#97—41no—
860#97—41no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95—21no—
881#95—21no—
882#95—21no—
883#95—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—21no—
889C24—42no—
890C24—42no—
891C24—42no—
892C24—42no—
893C24—42no—
894C24—42no—
895C24—42no—
896C24—42no—
897C24—42no—
898C24—42no—
899C24—42no—
900C24—42no—
901C24—81no—
902C24—81no—
903C24—81no—
904C24—81no—
905C24—81no—
906C24—81no—
907C24—81no—
908C24—81no—
909C24—81no—
910C24—81no—
911C24—81no—
912C24—81no—
913C24—81no—
914C24—81no—
915C24—81no—
916C24—81no—
917C24C22×D411yescharacteristic
918C24C22×D411yescharacteristic
919C24C22×D411yescharacteristic
920C24C22×D411yescharacteristic
921C2×D4—24no—
922C2×D4—22no—
923C2×D4—22no—
924C2×D4—24no—
925C2×D4—22no—
926C2×D4—22no—
927C2×D4—22no—
928C2×D4—22no—
929C2×D4—24no—
930C2×D4—24no—
931C2×D4—22no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—41no—
959C2×D4—41no—
960C2×D4—41no—
961C2×D4—41no—
962C2×D4—41no—
963C2×D4—41no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—41no—
968C2×D4—41no—
969C2×D4—41no—
970C2×D4—41no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—44no—
980C2×D4—44no—
981C2×D4—44no—
982C2×D4—44no—
983C2×D4—42no—
984C2×D4—42no—
985C2×D4—42no—
986C2×D4—42no—
987C2×D4—42no—
988C2×D4—42no—
989C2×D4—42no—
990C2×D4—42no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—42no—
997C2×D4—42no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—82no—
1011C2×D4—82no—
1012C2×D4—82no—
1013C2×D4—82no—
1014C2×D4—82no—
1015C2×D4—82no—
1016C2×D4—82no—
1017C2×D4—82no—
1018C2×D4—82no—
1019C2×D4—82no—
1020C2×D4—82no—
1021C2×D4—82no—
1022C2×D4—81no—
1023C2×D4—81no—
1024C2×D4—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—81no—
1040C2×D4—816no—
1041C2×D4—816no—
1042C2×D4—816no—
1043C2×D4—816no—
1044C2×D4AGL(1,ℤ/8)14yes—
1045C2×D4C2×#4112yes—
1046C2×D4C2×#4112yes—
1047C2×D4H(5,𝔽2)12yes—
1048C2×D4H(5,𝔽2)12yes—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—42no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—42no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—81no—
1099C22×C4—81no—
1100C22×C4—81no—
1101C22×C4—81no—
1102C22×C4—81no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4C22×D411yescharacteristic
1106C22×C4C22×D411yescharacteristic
1107C22×C4C22×D411yescharacteristic
1108C22×C4C22×D411yescharacteristic
1109C22×C4C22×D411yescharacteristic
1110C22×C4C22×D411yescharacteristic
1111C22×C4C22×D411yescharacteristic
1112C22×C4C22×D411yescharacteristic
1113C22×C4C22×D411yescharacteristic
1114C22×C4C22×D411yescharacteristic
1115C22×C4C2511yescharacteristic
1116D8—44no—
1117D8—44no—
1118D8—82no—
1119D8—82no—
1120M16—82no—
1121M16—82no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—21no—
1125C2×C8—21no—
1126C2×C8—21no—
1127C2×C8—21no—
1128C2×C8—21no—
1129C2×C8—21no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—82no—
1146C2×C8—82no—
1147C2×C8H(5,𝔽2)12yes—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—21no—
1151C4⋊C4—21no—
1152C4⋊C4—21no—
1153C4⋊C4—21no—
1154C4⋊C4—21no—
1155C4⋊C4—21no—
1156C4⋊C4—21no—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—21no—
1168C4⋊C4—21no—
1169C4⋊C4—21no—
1170C4⋊C4—21no—
1171C4⋊C4—21no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—81no—
1182C4⋊C4—81no—
1183C4⋊C4—81no—
1184C4⋊C4—81no—
1185C4⋊C4—81no—
1186C4⋊C4—81no—
1187C4⋊C4—81no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—42no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—42no—
1206C22⋊C4—42no—
1207C22⋊C4—42no—
1208C22⋊C4—42no—
1209C22⋊C4—42no—
1210C22⋊C4—42no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—42no—
1214C22⋊C4—42no—
1215C22⋊C4—42no—
1216C22⋊C4—42no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—81no—
1225C22⋊C4—81no—
1226C22⋊C4—81no—
1227C22⋊C4—81no—
1228C22⋊C4—81no—
1229C22⋊C4—81no—
1230C22⋊C4—81no—
1231C22⋊C4—81no—
1232C22⋊C4—81no—
1233C22⋊C4—81no—
1234C22⋊C4—81no—
1235C22⋊C4—81no—
1236C22⋊C4—81no—
1237C22⋊C4—81no—
1238C22⋊C4—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C42—22no—
1244C42—21no—
1245C42—21no—
1246C42—21no—
1247C42—21no—
1248C42—41no—
1249C42—41no—
1250C42—41no—
1251C42—81no—
1252C42—81no—
1253C42—81no—
1254C42C2×#4112yes—
1255C42H(5,𝔽2)12yes—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—84no—
1318C23—84no—
1319C23—84no—
1320C23—84no—
1321C23—84no—
1322C23—84no—
1323C23—84no—
1324C23—84no—
1325C23—84no—
1326C23—84no—
1327C23—84no—
1328C23—84no—
1329C23—162no—
1330C23—162no—
1331C23—162no—
1332C23—162no—
1333C23—162no—
1334C23—162no—
1335C23—162no—
1336C23—162no—
1337C23—162no—
1338C23—162no—
1339C23—162no—
1340C23—162no—
1341C23—162no—
1342C23—162no—
1343C23—162no—
1344C23—162no—
1345C23C2×AGL(1,ℤ/8)12yes—
1346C23C2×AGL(1,ℤ/8)12yes—
1347C23C23×D411yescharacteristic
1348D4—22no—
1349D4—22no—
1350D4—22no—
1351D4—22no—
1352D4—22no—
1353D4—22no—
1354D4—22no—
1355D4—22no—
1356D4—44no—
1357D4—44no—
1358D4—44no—
1359D4—44no—
1360D4—48no—
1361D4—48no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—41no—
1372D4—41no—
1373D4—41no—
1374D4—84no—
1375D4—82no—
1376D4—82no—
1377D4—84no—
1378D4—84no—
1379D4—84no—
1380D4—84no—
1381D4—84no—
1382D4—84no—
1383D4—84no—
1384D4—84no—
1385D4—84no—
1386D4—84no—
1387D4—84no—
1388D4—84no—
1389D4—84no—
1390D4—162no—
1391D4—162no—
1392D4—162no—
1393D4—162no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—84no—
1471C2×C4—84no—
1472C2×C4—84no—
1473C2×C4—84no—
1474C2×C4—84no—
1475C2×C4—162no—
1476C2×C4—162no—
1477C2×C4#54612yes—
1478C2×C4#54612yes—
1479C2×C4C2×AGL(1,ℤ/8)12yes—
1480C2×C4C22×#4111yescharacteristic
1481C2×C4C2×H(5,𝔽2)11yescharacteristic
1482C2×C4C2×H(5,𝔽2)11yescharacteristic
1483C2×C4C2×H(5,𝔽2)11yescharacteristic
1484C2×C4C2×H(5,𝔽2)11yescharacteristic
1485C2×C4#58511yescharacteristic
1486C8—22no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—42no—
1509C22—42no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—42no—
1525C22—42no—
1526C22—41no—
1527C22—41no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—41no—
1533C22—41no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
1540C22—81no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—168no—
1558C22—168no—
1559C22—168no—
1560C22—168no—
1561C22C2×#54611yescharacteristic
1562C22#348411yescharacteristic
1563C22#349611yescharacteristic
1564C22C22×AGL(1,ℤ/8)11yescharacteristic
1565C22#358511yescharacteristic
1566C22#358511yescharacteristic
1567C22#358511yescharacteristic
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—81no—
1579C4—81no—
1580C4—81no—
1581C4—81no—
1582C4—81no—
1583C4—81no—
1584C4—81no—
1585C4—81no—
1586C4—81no—
1587C4—81no—
1588C4—81no—
1589C4#351311yescharacteristic
1590C4#351911yescharacteristic
1591C4#353711yescharacteristic
1592C4#354211yescharacteristic
1593C2—42no—
1594C2—42no—
1595C2—81no—
1596C2—81no—
1597C2—82no—
1598C2—82no—
1599C2—82no—
1600C2—82no—
1601C2—161no—
1602C2#4488111yescharacteristic
1603C2#6115511yescharacteristic
1604C2#6121811yescharacteristic
1605C2#6157111yescharacteristic
1606C2#6166911yescharacteristic
1607C2#6229911yescharacteristic
1608C2#6233611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#127 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59816C2semidirect
2. #39996C2semidirect
3. #32021C2semidirect
4. #31996C2semidirect
5. #31681C2semidirect
6. #31676C2semidirect
7. #31413C2semidirect
8. #31382C2semidirect
9. #31036C2semidirect
10. #31032C2semidirect
11. #29195C2semidirect
12. #29127C2semidirect
13. #28237C2semidirect
14. #28152C2semidirect
15. #28107C2semidirect
16. #28100C2semidirect
17. #25124C2semidirect
18. #25116C2semidirect
19. #25026C2semidirect
20. #24982C2semidirect
21. #24440C2semidirect
22. #24424C2semidirect
23. #24248C2semidirect
24. #24248C2semidirect
25. #24044C2semidirect
26. #24033C2semidirect
27. #23682C2semidirect
28. #23175C2semidirect
29. #22423C2semidirect
30. #22423C2semidirect
31. #22151C2semidirect
37. C2×#481C22semidirect
38. C2×#482C22semidirect
39. C2×#469C22semidirect
40. C2×#466C22semidirect
42. C2×#447C22semidirect
43. C2×#447C22semidirect
44. C2×#447C22semidirect
45. C2×#447C22semidirect
46. C2×#442C22semidirect
47. C2×#442C22semidirect
48. C2×#435C22semidirect
49. C2×#435C22semidirect
50. C2×#435C22semidirect
51. C2×#435C22semidirect
52. C2×#418C22semidirect
53. C2×#418C22semidirect
54. C22×#102C22semidirect
55. C22×#102C22semidirect
56. #2864C22semidirect
69. #2535C22semidirect
70. #2535C22semidirect
71. #2487C22semidirect
72. #2486C22semidirect
73. #2485C22semidirect
74. #2485C22semidirect
77. #2416C22semidirect
78. #2416C22semidirect
79. #2414C22semidirect
80. #2414C22semidirect
89. #2352C22semidirect
90. #2352C22semidirect
95. #2293C22semidirect
96. #2099C22semidirect
97. #2099C22semidirect
98. #2084C22semidirect
99. #2077C22semidirect
100. #2077C22semidirect
101. #2077C22semidirect
102. #2077C22semidirect
103. #2077C22semidirect
104. #2075C22semidirect
105. #2071C22semidirect
106. #2067C22semidirect
107. #2067C22semidirect
108. #2065C22semidirect
109. #2065C22semidirect
110. #2065C22semidirect
111. #2065C22semidirect
112. #2054C22semidirect
113. #2054C22semidirect
117. #2034C22semidirect
118. #2034C22semidirect
119. #2034C22semidirect
120. #2034C22semidirect
121. #2034C22semidirect
122. #2034C22semidirect
123. #2034C22semidirect
124. #2034C22semidirect
125. #2034C22semidirect
126. #2033C22semidirect
127. #2033C22semidirect
128. #2033C22semidirect
130. #1999C22semidirect
131. #1999C22semidirect
132. #1999C22semidirect
133. #1999C22semidirect
134. #1999C22semidirect
135. #1999C22semidirect
137. #1972C22semidirect
138. #1972C22semidirect
141. #1955C22semidirect
142. #1955C22semidirect
143. #1955C22semidirect
144. #1955C22semidirect
145. #1948C22semidirect
146. #1936C22semidirect
147. #1936C22semidirect
148. #1936C22semidirect
149. #1936C22semidirect
150. #1936C22semidirect
151. #1936C22semidirect
152. #1895C22semidirect
153. #1895C22semidirect
154. #1895C22semidirect
155. #1895C22semidirect
156. #1893C22semidirect
157. #1893C22semidirect
158. #1893C22semidirect
159. #1893C22semidirect
160. #1879C22semidirect
161. #1879C22semidirect
162. #1875C22semidirect
163. #1875C22semidirect
164. #1875C22semidirect
165. #1874C22semidirect
166. #1874C22semidirect
167. #1874C22semidirect
168. #1870C22semidirect
169. #1870C22semidirect
170. #1869C22semidirect
171. #1869C22semidirect
172. #1864C22semidirect
173. #1864C22semidirect
174. #1864C22semidirect
175. #1864C22semidirect
176. #1862C22semidirect
177. #1862C22semidirect
178. #1854C22semidirect
179. #1853C22semidirect
180. #1847C22semidirect
181. #1836C22semidirect
182. #1825C22semidirect
183. #1823C22semidirect
184. #1809C22semidirect
185. #1807C22semidirect
186. #1804C22semidirect
187. #1804C22semidirect
188. #1804C22semidirect
189. #1804C22semidirect
190. #1802C22semidirect
191. #1786C22semidirect
192. #1786C22semidirect
193. #1786C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1767C22semidirect
200. #1767C22semidirect
201. #1762C22semidirect
202. #1762C22semidirect

Maximal subgroups

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

subgroupindex
#598162
#399962
#320212
#319962
#316812
#316762
#314132
#313822
#310362
#310322
#291952
#291272
#282372
#281522
#281072
#281002
#251242
#251162
#250262
#249822
#244402
#244242
#242482
#240442
#240332
#236822
#231752
#224232
#221512