Finite Group Databasebeta

← #6598508

Subgroups — #6598508

Order 512.

1845 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61253C211yesmaximal, characteristic, complemented
2#61155C211yesmaximal, characteristic
3C2×#3310C211yesmaximal, characteristic, complemented
4#60216C211yesmaximal, characteristic, complemented
5#33127C211yesmaximal, characteristic, complemented
6#33122C211yesmaximal, characteristic, complemented
7#33064C211yesmaximal, characteristic, complemented
8#28674C211yesmaximal, characteristic, complemented
9#28596C211yesmaximal, characteristic, complemented
10#28593C211yesmaximal, characteristic, complemented
11#28221C211yesmaximal, characteristic, complemented
12#28137C211yesmaximal, characteristic, complemented
13#28134C211yesmaximal, characteristic, complemented
14#25493C211yesmaximal, characteristic, complemented
15#25315C211yesmaximal, characteristic, complemented
16#25267C211yesmaximal, characteristic, complemented
17#25264C211yesmaximal, characteristic, complemented
18#25144C211yesmaximal, characteristic, complemented
19#25144C211yesmaximal, characteristic, complemented
20#24724C211yesmaximal, characteristic, complemented
21#24673C211yesmaximal, characteristic, complemented
22#24625C211yesmaximal, characteristic, complemented
23#24620C211yesmaximal, characteristic, complemented
24#24521C211yesmaximal, characteristic, complemented
25#24521C211yesmaximal, characteristic, complemented
26#22718C211yesmaximal, characteristic, complemented
27#22480C211yesmaximal, characteristic, complemented
28D4×#100C211yesmaximal, characteristic, complemented
29#21557C211yesmaximal, characteristic, complemented
30#21078C211yesmaximal, characteristic, complemented
31C2×#1931C211yesmaximal, characteristic, complemented
32#3475C2211yescharacteristic
33C2×#552C2211yescharacteristic
34C2×D42C2211yescharacteristic
35#3352—21no—
36#3351—21no—
37#3349—21no—
38#3348—21no—
39#3344—21no—
40#3343—21no—
41#3337—21no—
42#3336—21no—
43#3325—21no—
44#3324—21no—
45#3318—21no—
46#3318—21no—
47#3310—21no—
48#3310—21no—
49#3310—21no—
50#3310—21no—
51#3310—21no—
52#3310—21no—
53#3310—21no—
54#3310—21no—
55#3310—21no—
56#3310—21no—
57#3295—21no—
58#3294—21no—
59#3166C2211yescharacteristic, complemented
60#3138C2211yescharacteristic
61C2×#490C2211yescharacteristic
62#3095C2211yescharacteristic, complemented
63#3095C2211yescharacteristic, complemented
64#3094C2211yescharacteristic
65#3094C2211yescharacteristic
66#3093C2211yescharacteristic, complemented
67#3092C2211yescharacteristic, complemented
68C2×#482C2211yescharacteristic
69C2×#480C2211yescharacteristic
70#3080C2211yescharacteristic, complemented
71#3078C2211yescharacteristic, complemented
72#3077C2211yescharacteristic
73C2×#478C2211yescharacteristic
74C2×#471C2211yescharacteristic
75#3056C2211yescharacteristic, complemented
76#3056C2211yescharacteristic, complemented
77#3055C2211yescharacteristic
78#3055C2211yescharacteristic
79C2×#468C2211yescharacteristic
80C2×#465C2211yescharacteristic
81#3038C2211yescharacteristic
82C2×#460C2211yescharacteristic
83#3003C2211yescharacteristic
84#3003C2211yescharacteristic
85C2×#450C2211yescharacteristic
86C2×#450C2211yescharacteristic
87#2970—21no—
88#2969—21no—
89#2968—21no—
90#2968—21no—
91#2967—21no—
92#2967—21no—
93#2966—21no—
94#2965—21no—
95#2962C2211yescharacteristic, complemented
96#2961C2211yescharacteristic, complemented
97C4×#137C2211yescharacteristic, complemented
98C4×AGL(1,ℤ/8)C2211yescharacteristic
99C2×#440C2211yescharacteristic
100D4×M16C2211yescharacteristic
101D4×M16C2211yescharacteristic
102D4×M16C2211yescharacteristic
103#2933C2211yescharacteristic, complemented
104#2933C2211yescharacteristic, complemented
105#2930C2211yescharacteristic, complemented
106#2929C2211yescharacteristic, complemented
107C2×#435C2211yescharacteristic
108#2925C2211yescharacteristic, complemented
109#2924C2211yescharacteristic, complemented
110#2924C2211yescharacteristic, complemented
111#2911C2211yescharacteristic, complemented
112C2×#428C2211yescharacteristic, complemented
113C2×#418C2211yescharacteristic
114C2×#418C2211yescharacteristic
115C2×#418C2211yescharacteristic
116C22×#102C2211yescharacteristic
117C22×#100C2211yescharacteristic
118C22×#100C2211yescharacteristic
119#2875C2211yescharacteristic, complemented
120#2873C2211yescharacteristic, complemented
121C2×#405C2211yescharacteristic, complemented
122#2090C2211yescharacteristic, complemented
123#2089C2211yescharacteristic, complemented
124#2089C2211yescharacteristic, complemented
125#2089C2211yescharacteristic, complemented
126#2079C2211yescharacteristic, complemented
127#2078C2211yescharacteristic, complemented
128#2063C2211yescharacteristic
129#2063C2211yescharacteristic
130#2063C2211yescharacteristic, complemented
131#2063C2211yescharacteristic, complemented
132#2063C2211yescharacteristic, complemented
133#2063C2211yescharacteristic, complemented
134#2063C2211yescharacteristic, complemented
135#2063C2211yescharacteristic, complemented
136#2051C2211yescharacteristic
137#2051C2211yescharacteristic
138#2051C2211yescharacteristic, complemented
139#2051C2211yescharacteristic, complemented
140#2046C2211yescharacteristic
141#2046C2211yescharacteristic
142#2046C2211yescharacteristic, complemented
143#2046C2211yescharacteristic, complemented
144#2019C2211yescharacteristic, complemented
145#2019C2211yescharacteristic, complemented
146#1998C2211yescharacteristic, complemented
147#1998C2211yescharacteristic, complemented
148#1977C2211yescharacteristic
149#1977C2211yescharacteristic, complemented
150#1977C2211yescharacteristic, complemented
151#1977C2211yescharacteristic, complemented
152#1977C2211yescharacteristic, complemented
153#1965C2211yescharacteristic
154#1965C2211yescharacteristic
155#1952C2211yescharacteristic, complemented
156#1952C2211yescharacteristic, complemented
157#1952C2211yescharacteristic, complemented
158#1951C2211yescharacteristic, complemented
159#1951C2211yescharacteristic, complemented
160#1950C2211yescharacteristic, complemented
161#1950C2211yescharacteristic, complemented
162#1931C2211yescharacteristic
163#1931C2211yescharacteristic
164#1931C2211yescharacteristic
165#1931C2211yescharacteristic
166#1931C2211yescharacteristic
167#1931C2211yescharacteristic
168#1931C2211yescharacteristic
169#1931C2211yescharacteristic, complemented
170#1931C2211yescharacteristic, complemented
171#1931C2211yescharacteristic, complemented
172#1931C2211yescharacteristic, complemented
173#1931C2211yescharacteristic, complemented
174#1931C2211yescharacteristic, complemented
175#1931C2211yescharacteristic, complemented
176#1931C2211yescharacteristic, complemented
177#1931C2211yescharacteristic, complemented
178#1931C2211yescharacteristic, complemented
179#1931C2211yescharacteristic, complemented
180#1931C2211yescharacteristic, complemented
181#1930C2211yescharacteristic, complemented
182#1930C2211yescharacteristic, complemented
183#1930C2211yescharacteristic, complemented
184#1908C2211yescharacteristic, complemented
185#1907C2211yescharacteristic
186#1907C2211yescharacteristic, complemented
187#1907C2211yescharacteristic, complemented
188#1907C2211yescharacteristic, complemented
189#1907C2211yescharacteristic, complemented
190#1901C2211yescharacteristic, complemented
191#1901C2211yescharacteristic, complemented
192#1901C2211yescharacteristic, complemented
193#1901C2211yescharacteristic, complemented
194#1900C2211yescharacteristic
195#1900C2211yescharacteristic
196#1900C2211yescharacteristic
197#1900C2211yescharacteristic
198#1855C2211yescharacteristic, complemented
199#1855C2211yescharacteristic, complemented
200#1855C2211yescharacteristic, complemented
201#1855C2211yescharacteristic, complemented
202#1838C2211yescharacteristic, complemented
203#1822C2211yescharacteristic, complemented
204#1821C2211yescharacteristic, complemented
205#1816C2211yescharacteristic, complemented
206#1811C2211yescharacteristic, complemented
207#1810C2211yescharacteristic, complemented
208#1801C2211yescharacteristic, complemented
209#1800C2211yescharacteristic
210#1783C2211yescharacteristic
211#1783C2211yescharacteristic
212#1778C2211yescharacteristic, complemented
213C4×#101C2211yescharacteristic, complemented
214C4×#100C2211yescharacteristic
215#1742C2211yescharacteristic, complemented
216C2×#343C2211yescharacteristic, complemented
217#1738C2211yescharacteristic, complemented
218C2×#341C2211yescharacteristic, complemented
219C23×D4—21no—
220C23×D4C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C2×#137C2311yescharacteristic
223C2×AGL(1,ℤ/8)C2311yescharacteristic
224C2×AGL(1,ℤ/8)C2311yescharacteristic
225C2×AGL(1,ℤ/8)C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C2×#131C2311yescharacteristic
230C2×#131C2311yescharacteristic
231C22×M16C2311yescharacteristic
232C22×M16C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C22×M16C2311yescharacteristic
235C22×M16C2311yescharacteristic
236C22×M16C2311yescharacteristic
237C22×M16C2311yescharacteristic
238C23×C8C2311yescharacteristic
239#556D411yescharacteristic
240#555D411yescharacteristic
241#554D411yescharacteristic
242#553D411yescharacteristic
243#553D411yescharacteristic
244#552—21no—
245#552—21no—
246#552—21no—
247#552—21no—
248#552—21no—
249#552—21no—
250#552—21no—
251#552—21no—
252#552—21no—
253#552D411yescharacteristic
254#552D411yescharacteristic
255#551—21no—
256#551—21no—
257#547D411yescharacteristic
258#546—21no—
259D42—21no—
260D42—21no—
261D42—21no—
262D42—21no—
263D42—21no—
264D42—21no—
265D42—21no—
266D42—21no—
267#533C2311yescharacteristic
268C2×#127C2311yescharacteristic
269#529—21no—
270#529—21no—
271#529—21no—
272C2×#126—21no—
273C2×#125—21no—
274C2×#125C2311yescharacteristic
275#525C2311yescharacteristic
276#525C2311yescharacteristic
277C2×#123—21no—
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×#121—21no—
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#120—21no—
284C2×#120—21no—
285C4×#41—21no—
286C4×#41C2311yescharacteristic
287C2×C4×Q8C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×#117—21no—
291C2×#117C2311yescharacteristic
292C2×#117C2311yescharacteristic
293C2×#117C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295#501—21no—
296#501—21no—
297#499—21no—
298#499—21no—
299#490—21no—
300#490—21no—
301#490—21no—
302#490—21no—
303#490—21no—
304#490—21no—
305#486—21no—
306#486—21no—
307#485—21no—
308#485—21no—
309#485—21no—
310#485—21no—
311#485—21no—
312#485—21no—
313#484—21no—
314#484—21no—
315#484—21no—
316#483—21no—
317#483—21no—
318#483—21no—
319#482—21no—
320#482—21no—
321#482—21no—
322#482—21no—
323#482—21no—
324#482—21no—
325#482—21no—
326#482—21no—
327#482—21no—
328#482—21no—
329#481—21no—
330#481—21no—
331#481—21no—
332#480—21no—
333#480—21no—
334#480—21no—
335#480—21no—
336#480—21no—
337#480—21no—
338#480—21no—
339#479—21no—
340#479—21no—
341#479—21no—
342#479—21no—
343#478—21no—
344#478—21no—
345#478—21no—
346#478—21no—
347#478—21no—
348#478—21no—
349#478—21no—
350#478—21no—
351#477—21no—
352#476—21no—
353#475—21no—
354#474—21no—
355#471—24no—
356#470—21no—
357#470—21no—
358#469—21no—
359#469—21no—
360#468—21no—
361#468—21no—
362#468—21no—
363#468—21no—
364#468—21no—
365#468—21no—
366#468—21no—
367#468—21no—
368#467—21no—
369#467—21no—
370#466—21no—
371#466—21no—
372#465—21no—
373#465—21no—
374#465—21no—
375#465—21no—
376#465—21no—
377#465—21no—
378#465—21no—
379#465—21no—
380#460—21no—
381#460—21no—
382#460—21no—
383#460—21no—
384#460—21no—
385#460—21no—
386#459—21no—
387#459—21no—
388#450—21no—
389#450—21no—
390#450—21no—
391#450—21no—
392#450—21no—
393#450—21no—
394#450—21no—
395#450—21no—
396#450—21no—
397#450—21no—
398#450—21no—
399#450—21no—
400#447—21no—
401#447—21no—
402#447—21no—
403#447—21no—
404#446—21no—
405#446—21no—
406#446—21no—
407#446—21no—
408#446—21no—
409#446—21no—
410#446—21no—
411C8×Q8—21no—
412#442—21no—
413#441—21no—
414#440—21no—
415#440—21no—
416#440—21no—
417#440—21no—
418#440—21no—
419#440—21no—
420C4×Q16—21no—
421C4×SD16—21no—
422C4×SD16—21no—
423C4×D8—21no—
424#436—21no—
425#436—21no—
426#436—21no—
427#436—21no—
428#436—21no—
429#436—21no—
430#436—21no—
431#435—21no—
432#435—21no—
433#435—21no—
434#435—21no—
435#435—21no—
436#435—21no—
437#435—21no—
438#435—21no—
439#435—21no—
440#435—21no—
441#435—21no—
442#435—21no—
443#435—21no—
444#435—21no—
445#435D411yescharacteristic
446#435D411yescharacteristic
447#435D411yescharacteristic
448#435D411yescharacteristic
449#435D411yescharacteristic
450#435D411yescharacteristic
451#435D411yescharacteristic
452#435D411yescharacteristic
453C8×D4—21no—
454C8×D4—21no—
455C8×D4—21no—
456C8×D4—21no—
457C8×D4—21no—
458C8×D4—21no—
459C8×D4—21no—
460#433—21no—
461#433—21no—
462#433—21no—
463#433—21no—
464#433—21no—
465#433—21no—
466#432—21no—
467#432—21no—
468#432—21no—
469#431—21no—
470#431—21no—
471#431—21no—
472C2×#108C2311yescharacteristic
473C2×#108C2311yescharacteristic
474C2×#108C2311yescharacteristic
475C2×#108C2311yescharacteristic
476C2×#108C2311yescharacteristic
477C2×#108C2311yescharacteristic
478#428—21no—
479#428—21no—
480#428—21no—
481#428—21no—
482#428C2311yescharacteristic
483#428C2311yescharacteristic
484#428C2311yescharacteristic
485#428C2311yescharacteristic
486#428C2311yescharacteristic
487#428C2311yescharacteristic
488#428C2311yescharacteristic
489#428C2311yescharacteristic
490#428C2311yescharacteristic
491#428C2311yescharacteristic
492#428C2311yescharacteristic
493#428C2311yescharacteristic
494#427—21no—
495#427—21no—
496C2×#107—21no—
497C2×#107C2311yescharacteristic
498C2×#107C2311yescharacteristic
499C2×#106—21no—
500C2×#106C2311yescharacteristic
501#424C2311yescharacteristic
502#424C2311yescharacteristic
503#424C2311yescharacteristic
504#424C2311yescharacteristic
505#423C2311yescharacteristic
506#423C2311yescharacteristic
507#423C2311yescharacteristic
508C2×C4⋊C8C2311yescharacteristic
509#419C2311yescharacteristic
510#419C2311yescharacteristic
511#419C2311yescharacteristic
512#418—21no—
513#418—21no—
514#418—21no—
515#418—21no—
516#418—21no—
517#418—21no—
518#418—21no—
519#418—21no—
520#418C2311yescharacteristic
521#418C2311yescharacteristic
522#418C2311yescharacteristic
523#418C2311yescharacteristic
524#418C2311yescharacteristic
525#418C2311yescharacteristic
526#418C2311yescharacteristic
527#418C2311yescharacteristic
528#418C2311yescharacteristic
529#417C2311yescharacteristic
530#417C2311yescharacteristic
531#417C2311yescharacteristic
532#417C2311yescharacteristic
533C2×#103C2311yescharacteristic
534C2×#102—21no—
535C2×#102—21no—
536C2×#102—21no—
537C2×#102—21no—
538C2×#102—21no—
539C2×#102—21no—
540C2×#102—21no—
541C2×#102—21no—
542C2×#102C2311yescharacteristic
543C2×#102C2311yescharacteristic
544C2×#102C2311yescharacteristic
545C2×#102C2311yescharacteristic
546C2×#102C2311yescharacteristic
547C2×#102C2311yescharacteristic
548C2×#102C2311yescharacteristic
549C2×#102C2311yescharacteristic
550C2×#102C2311yescharacteristic
551C2×#101C2311yescharacteristic
552C2×#101C2311yescharacteristic
553C2×#101C2311yescharacteristic
554C2×#101C2311yescharacteristic
555C2×#100—24no—
556C2×#100—24no—
557C2×#100C2311yescharacteristic
558C2×#100C2311yescharacteristic
559C2×#100C2311yescharacteristic
560C2×#100C2311yescharacteristic
561C2×#100C2311yescharacteristic
562C2×#100C2311yescharacteristic
563C2×#100C2311yescharacteristic
564C2×#100C2311yescharacteristic
565C2×#100C2311yescharacteristic
566C2×#100C2311yescharacteristic
567C2×#100C2311yescharacteristic
568C2×#100C2311yescharacteristic
569#408C2311yescharacteristic
570#408C2311yescharacteristic
571#407C2311yescharacteristic
572#407C2311yescharacteristic
573#407C2311yescharacteristic
574#407C2311yescharacteristic
575#407C2311yescharacteristic
576#407C2311yescharacteristic
577C2×C22⋊C8C2311yescharacteristic
578C2×C22⋊C8C2311yescharacteristic
579#405—21no—
580#405—21no—
581#405—21no—
582#405—21no—
583#405—21no—
584#405—21no—
585#405C2311yescharacteristic
586#405C2311yescharacteristic
587#405C2311yescharacteristic
588#405C2311yescharacteristic
589#405C2311yescharacteristic
590#405C2311yescharacteristic
591#405C2311yescharacteristic
592#405C2311yescharacteristic
593C4×M16—21no—
594C4×M16—21no—
595C4×M16—21no—
596C4×M16C2311yescharacteristic
597C4×M16C2311yescharacteristic
598C4×M16C2311yescharacteristic
599C2×#97—21no—
600C2×#97—21no—
601C2×#97C2311yescharacteristic
602C2×C4×C8—21no—
603#343C2311yescharacteristic
604#343C2311yescharacteristic
605#343C2311yescharacteristic
606#343C2311yescharacteristic
607#343C2311yescharacteristic
608#343C2311yescharacteristic
609#343C2311yescharacteristic
610#343C2311yescharacteristic
611#343C2311yescharacteristic
612#343C2311yescharacteristic
613#343C2311yescharacteristic
614#343C2311yescharacteristic
615#343C2311yescharacteristic
616#343C2311yescharacteristic
617#343C2311yescharacteristic
618#343C2311yescharacteristic
619#341C2311yescharacteristic
620#341C2311yescharacteristic
621#341C2311yescharacteristic
622#341C2311yescharacteristic
623#341C2311yescharacteristic
624#341C2311yescharacteristic
625#341C2311yescharacteristic
626#341C2311yescharacteristic
627#341C2311yescharacteristic
628#341C2311yescharacteristic
629C25—21no—
630C25—21no—
631C2×#41—21no—
632C2×#41C2411yescharacteristic
633C22×Q8C2411yescharacteristic
634C22×D4—22no—
635C22×D4—22no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—41no—
651C22×D4—41no—
652C22×D4—41no—
653C22×D4—41no—
654C22×D4—41no—
655C22×D4—41no—
656C22×D4—41no—
657C22×D4—41no—
658C22×D4—41no—
659C22×D4—41no—
660C22×D4—84no—
661C22×D4#4111yescharacteristic
662C22×D4C2411yescharacteristic
663C22×D4C2411yescharacteristic
664C22×D4C2411yescharacteristic
665C23×C4—21no—
666C23×C4—21no—
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669#137—22no—
670#137—41no—
671AGL(1,ℤ/8)—22no—
672AGL(1,ℤ/8)—41no—
673AGL(1,ℤ/8)—41no—
674AGL(1,ℤ/8)—41no—
675AGL(1,ℤ/8)—41no—
676AGL(1,ℤ/8)—41no—
677C2×Q16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—22no—
681C2×SD16—21no—
682C2×SD16—21no—
683C2×SD16—21no—
684C2×SD16—21no—
685C2×SD16—21no—
686C2×SD16—21no—
687C2×SD16—21no—
688C2×SD16—21no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×D8—21no—
695C2×D8—21no—
696C2×D8—21no—
697#131—22no—
698#131—41no—
699#131—41no—
700#131—41no—
701C2×M16—21no—
702C2×M16—21no—
703C2×M16—21no—
704C2×M16—21no—
705C2×M16—21no—
706C2×M16—21no—
707C2×M16—21no—
708C2×M16—21no—
709C2×M16—22no—
710C2×M16—22no—
711C2×M16—22no—
712C2×M16—22no—
713C2×M16—41no—
714C2×M16—41no—
715C2×M16—41no—
716C2×M16—41no—
717C2×M16—41no—
718C2×M16—41no—
719C2×M16—41no—
720C2×M16—41no—
721C2×M16—41no—
722C2×M16—41no—
723C2×M16C2×D411yescharacteristic
724C2×M16C2×D411yescharacteristic
725C2×M16C2×D411yescharacteristic
726C2×M16C2×D411yescharacteristic
727C2×M16C2411yescharacteristic
728C2×M16C2411yescharacteristic
729C2×M16C2411yescharacteristic
730C2×M16C2411yescharacteristic
731C2×M16C2411yescharacteristic
732C2×M16C2411yescharacteristic
733C2×M16C2411yescharacteristic
734C2×M16C2411yescharacteristic
735C2×M16C2411yescharacteristic
736C2×M16C2411yescharacteristic
737C2×M16C2411yescharacteristic
738C2×M16C2411yescharacteristic
739C22×C8—21no—
740C22×C8—21no—
741C22×C8—21no—
742C22×C8—21no—
743C22×C8—21no—
744C22×C8—21no—
745C22×C8—21no—
746C22×C8—21no—
747C22×C8—41no—
748C22×C8—41no—
749C22×C8C2×D411yescharacteristic
750C22×C8C2×D411yescharacteristic
751C22×C8C2×D411yescharacteristic
752C22×C8C2×D411yescharacteristic
753C22×C8C2411yescharacteristic
754C22×C8C2411yescharacteristic
755C22×C8C2411yescharacteristic
756C22×C8C2411yescharacteristic
757C4⋊Q8C2×D411yescharacteristic
758C4⋊Q8C2×D411yescharacteristic
759#127—21no—
760#127—21no—
761#127—21no—
762#127—21no—
763#126—21no—
764#126—21no—
765#126—21no—
766#126—21no—
767#126—21no—
768#126—21no—
769#126—41no—
770#126—41no—
771#126—41no—
772#126—41no—
773#125—21no—
774#125—21no—
775#125—21no—
776#125—21no—
777#125—21no—
778#125—21no—
779#125—21no—
780#125—41no—
781#125—41no—
782#125—41no—
783#125—41no—
784#125C2×D411yescharacteristic
785#125C2×D411yescharacteristic
786#124—21no—
787#124—21no—
788#124—21no—
789#123—21no—
790#123—21no—
791#123—21no—
792#123—21no—
793#123—21no—
794#123—21no—
795#123—21no—
796#123—21no—
797#123—41no—
798#123—41no—
799#123—41no—
800#123—41no—
801C22⋊Q8—21no—
802C22⋊Q8—21no—
803C22⋊Q8—21no—
804C22⋊Q8—21no—
805C22⋊Q8—21no—
806C22⋊Q8—21no—
807C22⋊Q8—21no—
808C22⋊Q8—21no—
809C22⋊Q8—21no—
810C22⋊Q8—21no—
811C22⋊Q8—21no—
812C22⋊Q8—21no—
813C22⋊Q8—21no—
814C22⋊Q8C2×D411yescharacteristic
815C22⋊Q8C2×D411yescharacteristic
816C22⋊Q8C2×D411yescharacteristic
817C22⋊Q8C2×D411yescharacteristic
818#121—21no—
819#121—21no—
820#121—21no—
821#121—21no—
822#121—21no—
823#121—21no—
824#121—21no—
825#121—21no—
826#121—21no—
827#121—21no—
828#121—21no—
829#121—41no—
830#121—41no—
831#121—41no—
832#121—41no—
833#121C2×D411yescharacteristic
834#121C2×D411yescharacteristic
835#121C2×D411yescharacteristic
836#121C2×D411yescharacteristic
837#120—21no—
838#120—21no—
839#120—41no—
840#120—41no—
841#120—41no—
842#120—41no—
843#120—41no—
844#120—41no—
845#120—41no—
846#120—41no—
847C4×Q8—21no—
848C4×Q8—21no—
849C4×Q8—21no—
850C4×Q8—21no—
851C4×Q8—21no—
852C4×Q8—21no—
853C4×Q8—21no—
854C4×Q8C2×D411yescharacteristic
855C4×Q8C2×D411yescharacteristic
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—21no—
866C4×D4—21no—
867C4×D4—21no—
868C4×D4—21no—
869C4×D4C2×D411yescharacteristic
870C4×D4C2×D411yescharacteristic
871C4×D4C2×D411yescharacteristic
872C4×D4C2×D411yescharacteristic
873C4×D4C2×D411yescharacteristic
874C4×D4C2×D411yescharacteristic
875C4×D4C2×D411yescharacteristic
876C4×D4C2×D411yescharacteristic
877C4×D4C2×D411yescharacteristic
878C4×D4C2×D411yescharacteristic
879#117—21no—
880#117—21no—
881#117—21no—
882#117—21no—
883#117—21no—
884#117—21no—
885#117—21no—
886#117—21no—
887#117—21no—
888#117—21no—
889#117—21no—
890#117—21no—
891#117—41no—
892#117—41no—
893#117—41no—
894#117—41no—
895#117C2×D411yescharacteristic
896#117C2×D411yescharacteristic
897#117C2×D411yescharacteristic
898#117C2×D411yescharacteristic
899#117C2411yescharacteristic
900#117C2411yescharacteristic
901#117C2411yescharacteristic
902C2×C4⋊C4—21no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—21no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4—21no—
909C2×C4⋊C4—21no—
910C2×C4⋊C4—21no—
911C2×C4⋊C4—21no—
912C2×C4⋊C4C2×D411yescharacteristic
913C2×C4⋊C4C2×D411yescharacteristic
914C2×C4⋊C4C2×D411yescharacteristic
915C2×C4⋊C4C2×D411yescharacteristic
916C2×C4⋊C4#4111yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4#4111yescharacteristic
930C2×C22⋊C4#4111yescharacteristic
931C2×C42—21no—
932C2×C42—21no—
933C2×C42—21no—
934C2×C42—21no—
935C2×C42—21no—
936C2×C42C2411yescharacteristic
937#108—22no—
938#108—41no—
939#108—41no—
940#108—41no—
941#108—41no—
942#108—41no—
943#107—21no—
944#107—21no—
945#107—21no—
946#107—21no—
947#107—21no—
948#107—21no—
949#107—21no—
950#107—21no—
951#107—21no—
952#107—21no—
953#107—21no—
954#107—21no—
955#107—21no—
956#107—21no—
957#107—21no—
958#107—21no—
959#106—21no—
960#106—21no—
961#106—21no—
962#106—21no—
963#106—21no—
964#106—21no—
965#106—21no—
966#106—21no—
967#106—21no—
968#106—21no—
969#106—21no—
970#106—21no—
971#106—21no—
972#106—21no—
973C4⋊C8—21no—
974C4⋊C8—21no—
975C4⋊C8—21no—
976C4⋊C8—21no—
977C4⋊C8—21no—
978C4⋊C8—21no—
979C4⋊C8—21no—
980C4⋊C8—21no—
981C4⋊C8—21no—
982C4⋊C8—21no—
983C4⋊C8—21no—
984C4⋊C8—21no—
985C4⋊C8—21no—
986C4⋊C8—21no—
987C4⋊C8C2×D411yescharacteristic
988C4⋊C8C2×D411yescharacteristic
989C4⋊C8C2×D411yescharacteristic
990C4⋊C8C2×D411yescharacteristic
991#103—21no—
992#103—21no—
993#103—21no—
994#103—21no—
995#103—21no—
996#103—21no—
997#103—21no—
998#103—21no—
999#103—21no—
1000#103—21no—
1001#103—21no—
1002#103—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—21no—
1012#102—21no—
1013#102—21no—
1014#102—21no—
1015#102—21no—
1016#102—21no—
1017#102—21no—
1018#102—21no—
1019#102—21no—
1020#102—21no—
1021#102—21no—
1022#102—21no—
1023#102—21no—
1024#102—21no—
1025#102—21no—
1026#102—21no—
1027#102—21no—
1028#102—21no—
1029#102—21no—
1030#102—21no—
1031#102—21no—
1032#102—21no—
1033#102—21no—
1034#102—21no—
1035#102—21no—
1036#102—21no—
1037#102—21no—
1038#102—21no—
1039#102—21no—
1040#102—21no—
1041#102—21no—
1042#102—21no—
1043#101—22no—
1044#101—41no—
1045#101—41no—
1046#101—41no—
1047#100—22no—
1048#100—22no—
1049#100—22no—
1050#100—22no—
1051#100—22no—
1052#100—22no—
1053#100—41no—
1054#100—41no—
1055#100—41no—
1056#100—41no—
1057#100—41no—
1058#100#4114yescomplemented
1059C22⋊C8—21no—
1060C22⋊C8—21no—
1061C22⋊C8—21no—
1062C22⋊C8—21no—
1063C22⋊C8—21no—
1064C22⋊C8—21no—
1065C22⋊C8—21no—
1066C22⋊C8—21no—
1067C22⋊C8—21no—
1068C22⋊C8—21no—
1069C22⋊C8—21no—
1070C22⋊C8—21no—
1071C22⋊C8—21no—
1072C22⋊C8—21no—
1073C22⋊C8—21no—
1074C22⋊C8—21no—
1075C22⋊C8C2×D411yescharacteristic
1076C22⋊C8C2×D411yescharacteristic
1077C22⋊C8C2×D411yescharacteristic
1078C22⋊C8C2×D411yescharacteristic
1079C22⋊C8C2×D411yescharacteristic
1080C22⋊C8C2×D411yescharacteristic
1081C22⋊C8C2×D411yescharacteristic
1082C22⋊C8C2×D411yescharacteristic
1083#97—21no—
1084#97—21no—
1085#97—21no—
1086#97—21no—
1087#97—21no—
1088#97—21no—
1089#97—21no—
1090#97—21no—
1091#97—21no—
1092#97—21no—
1093#97—21no—
1094#97C2×D411yescharacteristic
1095#97C2×D411yescharacteristic
1096#97C2×D411yescharacteristic
1097#97C2×D411yescharacteristic
1098C4×C8—21no—
1099C4×C8—21no—
1100C4×C8—21no—
1101C4×C8—21no—
1102C4×C8—21no—
1103C4×C8—21no—
1104C4×C8—21no—
1105C4×C8—21no—
1106C4×C8—21no—
1107C4×C8—21no—
1108C4×C8—21no—
1109C24—21no—
1110C24—21no—
1111C24—21no—
1112C24—42no—
1113C24—42no—
1114C24—41no—
1115C24—41no—
1116C24—41no—
1117C24—41no—
1118C24—81no—
1119C24—81no—
1120C24—82no—
1121C24—82no—
1122C24—161no—
1123C24—161no—
1124C24C2×#4111yescharacteristic
1125C24C2×#4111yescharacteristic
1126#41—21no—
1127#41—21no—
1128#41—21no—
1129#41—21no—
1130#41—82no—
1131C2×Q8—21no—
1132C2×Q8—21no—
1133C2×Q8—21no—
1134C2×Q8—21no—
1135C2×Q8—21no—
1136C2×Q8—21no—
1137C2×Q8—21no—
1138C2×Q8—21no—
1139C2×Q8C22×D411yescharacteristic
1140C2×D4—21no—
1141C2×D4—21no—
1142C2×D4—21no—
1143C2×D4—21no—
1144C2×D4—21no—
1145C2×D4—21no—
1146C2×D4—21no—
1147C2×D4—21no—
1148C2×D4—21no—
1149C2×D4—21no—
1150C2×D4—21no—
1151C2×D4—21no—
1152C2×D4—21no—
1153C2×D4—21no—
1154C2×D4—21no—
1155C2×D4—21no—
1156C2×D4—21no—
1157C2×D4—21no—
1158C2×D4—21no—
1159C2×D4—21no—
1160C2×D4—21no—
1161C2×D4—21no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
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—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
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—82no—
1196C2×D4—84no—
1197C2×D4—84no—
1198C2×D4—84no—
1199C2×D4—84no—
1200C2×D4—82no—
1201C2×D4—82no—
1202C2×D4—161no—
1203C2×D4#12111yescharacteristic
1204C2×D4#12111yescharacteristic
1205C2×D4#12111yescharacteristic
1206C2×D4#12111yescharacteristic
1207C2×D4C22×D411yescharacteristic
1208C2×D4C2×#4112yes—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
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—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—82no—
1234C22×C4—82no—
1235C22×C4C22×D411yescharacteristic
1236C22×C4C22×D411yescharacteristic
1237C22×C4C22×D411yescharacteristic
1238C22×C4C22×D411yescharacteristic
1239C22×C4C22×D411yescharacteristic
1240C22×C4C22×D411yescharacteristic
1241C22×C4C22×D411yescharacteristic
1242C22×C4C22×D411yescharacteristic
1243C22×C4C2×#4111yescharacteristic
1244C22×C4C2×#4111yescharacteristic
1245C22×C4C2×#4111yescharacteristic
1246C22×C4C2×#4111yescharacteristic
1247C22×C4C2511yescharacteristic
1248Q16—42no—
1249SD16—42no—
1250SD16—42no—
1251SD16—42no—
1252SD16—42no—
1253SD16—81no—
1254SD16—81no—
1255SD16—81no—
1256SD16—81no—
1257SD16—81no—
1258SD16—81no—
1259D8—42no—
1260D8—81no—
1261D8—81no—
1262M16—21no—
1263M16—21no—
1264M16—21no—
1265M16—21no—
1266M16—21no—
1267M16—21no—
1268M16—21no—
1269M16—21no—
1270M16—21no—
1271M16—21no—
1272M16—21no—
1273M16—21no—
1274M16—21no—
1275M16—21no—
1276M16—21no—
1277M16—21no—
1278M16—21no—
1279M16—21no—
1280M16—21no—
1281M16—21no—
1282M16—21no—
1283M16—21no—
1284M16—41no—
1285M16—41no—
1286M16—41no—
1287M16—41no—
1288M16—42no—
1289M16—42no—
1290M16—42no—
1291M16—42no—
1292M16—42no—
1293M16—42no—
1294M16—81no—
1295M16—81no—
1296M16C2×#4112yes—
1297M16C2×#4112yes—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
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—41no—
1319C2×C8—41no—
1320C2×C8—41no—
1321C2×C8—41no—
1322C2×C8—42no—
1323C2×C8—42no—
1324C2×C8—42no—
1325C2×C8—42no—
1326C2×C8—42no—
1327C2×C8—42no—
1328C2×C8—81no—
1329C2×C8—81no—
1330C2×C8C22×D411yescharacteristic
1331C2×C8C22×D411yescharacteristic
1332C2×C8C22×D411yescharacteristic
1333C2×C8C22×D411yescharacteristic
1334C2×C8C22×D411yescharacteristic
1335C2×C8C22×D411yescharacteristic
1336C2×C8C22×D411yescharacteristic
1337C2×C8C22×D411yescharacteristic
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—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4#12111yescharacteristic
1375C4⋊C4#12111yescharacteristic
1376C4⋊C4#12111yescharacteristic
1377C4⋊C4#12111yescharacteristic
1378C4⋊C4C22×D411yescharacteristic
1379C4⋊C4C22×D411yescharacteristic
1380C4⋊C4C22×D411yescharacteristic
1381C4⋊C4C22×D411yescharacteristic
1382C4⋊C4C22×D411yescharacteristic
1383C4⋊C4C22×D411yescharacteristic
1384C22⋊C4—21no—
1385C22⋊C4—21no—
1386C22⋊C4—21no—
1387C22⋊C4—21no—
1388C22⋊C4—21no—
1389C22⋊C4—21no—
1390C22⋊C4—21no—
1391C22⋊C4—21no—
1392C22⋊C4—21no—
1393C22⋊C4—21no—
1394C22⋊C4—21no—
1395C22⋊C4—21no—
1396C22⋊C4—21no—
1397C22⋊C4—21no—
1398C22⋊C4—21no—
1399C22⋊C4—21no—
1400C22⋊C4—21no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4#12111yescharacteristic
1414C22⋊C4#12111yescharacteristic
1415C22⋊C4#12111yescharacteristic
1416C22⋊C4#12111yescharacteristic
1417C22⋊C4#12111yescharacteristic
1418C22⋊C4#12111yescharacteristic
1419C22⋊C4#12111yescharacteristic
1420C22⋊C4#12111yescharacteristic
1421C42—21no—
1422C42—21no—
1423C42—21no—
1424C42—21no—
1425C42—21no—
1426C42—21no—
1427C42—21no—
1428C42—21no—
1429C42—21no—
1430C42—41no—
1431C42—41no—
1432C42—41no—
1433C42—41no—
1434C42C22×D411yescharacteristic
1435C42C22×D411yescharacteristic
1436C42C22×D411yescharacteristic
1437C42C22×D411yescharacteristic
1438C23—21no—
1439C23—21no—
1440C23—22no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—22no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—82no—
1457C23—82no—
1458C23—82no—
1459C23—82no—
1460C23—81no—
1461C23—81no—
1462C23—82no—
1463C23—82no—
1464C23—82no—
1465C23—81no—
1466C23—81no—
1467C23—81no—
1468C23—81no—
1469C23—82no—
1470C23—161no—
1471C23—161no—
1472C23—161no—
1473C23—161no—
1474C23—164no—
1475C23—164no—
1476C23—164no—
1477C23—164no—
1478C23C2×#12111yescharacteristic
1479C23C2×#12111yescharacteristic
1480C23C2×#12111yescharacteristic
1481C23C2×#12111yescharacteristic
1482C23C22×#4111yescharacteristic
1483Q8—21no—
1484Q8—21no—
1485Q8—41no—
1486Q8—41no—
1487Q8—41no—
1488Q8—41no—
1489Q8—81no—
1490Q8—81no—
1491D4—22no—
1492D4—22no—
1493D4—21no—
1494D4—22no—
1495D4—22no—
1496D4—21no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
1500D4—41no—
1501D4—42no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—82no—
1513D4—82no—
1514D4—82no—
1515D4—82no—
1516D4—82no—
1517D4—82no—
1518D4—81no—
1519D4—81no—
1520D4—81no—
1521D4—82no—
1522D4—82no—
1523D4—82no—
1524D4—82no—
1525D4—161no—
1526D4—161no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—42no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—81no—
1567C2×C4—81no—
1568C2×C4—82no—
1569C2×C4—82no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—82no—
1574C2×C4—82no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4C2×#12111yescharacteristic
1580C2×C4C2×#12111yescharacteristic
1581C2×C4C2×#12111yescharacteristic
1582C2×C4C2×#12111yescharacteristic
1583C2×C4C2×#12111yescharacteristic
1584C2×C4C2×#12111yescharacteristic
1585C2×C4C2×#12111yescharacteristic
1586C2×C4C2×#12111yescharacteristic
1587C2×C4C23×D411yescharacteristic
1588C2×C4C23×D411yescharacteristic
1589C2×C4C22×#4111yescharacteristic
1590C2×C4#58511yescharacteristic
1591C2×C4#58511yescharacteristic
1592C2×C4#58511yescharacteristic
1593C8—21no—
1594C8—21no—
1595C8—22no—
1596C8—22no—
1597C8—21no—
1598C8—21no—
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—41no—
1604C8—41no—
1605C8—41no—
1606C8—41no—
1607C8—41no—
1608C8—41no—
1609C8—41no—
1610C8—41no—
1611C8—41no—
1612C8—41no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—21no—
1618C22—21no—
1619C22—21no—
1620C22—21no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—42no—
1627C22—42no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—42no—
1632C22—81no—
1633C22—81no—
1634C22—82no—
1635C22—82no—
1636C22—81no—
1637C22—81no—
1638C22—81no—
1639C22—81no—
1640C22—81no—
1641C22—81no—
1642C22—81no—
1643C22—81no—
1644C22—164no—
1645C22—161no—
1646C22—161no—
1647C22—161no—
1648C22—161no—
1649C22—164no—
1650C22—164no—
1651C22—164no—
1652C22#306812yes—
1653C22C22×#12111yescharacteristic
1654C22#347511yescharacteristic
1655C22#352111yescharacteristic
1656C4—21no—
1657C4—21no—
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—81no—
1672C4—81no—
1673C4—81no—
1674C4—81no—
1675C4—81no—
1676C4D4×#4111yescharacteristic
1677C4D4×#4111yescharacteristic
1678C4#348511yescharacteristic
1679C4#350011yescharacteristic
1680C2—21no—
1681C2—21no—
1682C2—22no—
1683C2—41no—
1684C2—41no—
1685C2—41no—
1686C2—81no—
1687C2—82no—
1688C2—161no—
1689C2—161no—
1690C2#3621811yescharacteristic
1691C2C2×#306811yescharacteristic
1692C2#6047011yescharacteristic
subgroupG/H
center, socleC22C22×#121
commutator, Frattini, cosocleC22×C4C25
prime radical#61155C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #61253C2semidirect
3. C2×#3310C2semidirect
4. #60216C2semidirect
5. #33127C2semidirect
6. #33122C2semidirect
7. #33064C2semidirect
8. #28674C2semidirect
9. #28596C2semidirect
10. #28593C2semidirect
11. #28221C2semidirect
12. #28137C2semidirect
13. #28134C2semidirect
14. #25493C2semidirect
15. #25315C2semidirect
16. #25267C2semidirect
17. #25264C2semidirect
18. #25144C2semidirect
19. #25144C2semidirect
20. #24724C2semidirect
21. #24673C2semidirect
22. #24625C2semidirect
23. #24620C2semidirect
24. #24521C2semidirect
25. #24521C2semidirect
26. #22718C2semidirect
27. #22480C2semidirect
28. D4×#100C2semidirect
29. #21557C2semidirect
30. #21078C2semidirect
31. C2×#1931C2semidirect
59. #3166C22semidirect
62. #3095C22semidirect
63. #3095C22semidirect
66. #3093C22semidirect
67. #3092C22semidirect
70. #3080C22semidirect
71. #3078C22semidirect
75. #3056C22semidirect
76. #3056C22semidirect
95. #2962C22semidirect
96. #2961C22semidirect
97. C4×#137C22semidirect
103. #2933C22semidirect
104. #2933C22semidirect
105. #2930C22semidirect
106. #2929C22semidirect
108. #2925C22semidirect
109. #2924C22semidirect
110. #2924C22semidirect
111. #2911C22semidirect
112. C2×#428C22semidirect
119. #2875C22semidirect
120. #2873C22semidirect
121. C2×#405C22semidirect
122. #2090C22semidirect
123. #2089C22semidirect
124. #2089C22semidirect
125. #2089C22semidirect
126. #2079C22semidirect
127. #2078C22semidirect
130. #2063C22semidirect
131. #2063C22semidirect
132. #2063C22semidirect
133. #2063C22semidirect
134. #2063C22semidirect
135. #2063C22semidirect
138. #2051C22semidirect
139. #2051C22semidirect
142. #2046C22semidirect
143. #2046C22semidirect
144. #2019C22semidirect
145. #2019C22semidirect
146. #1998C22semidirect
147. #1998C22semidirect
149. #1977C22semidirect
150. #1977C22semidirect
151. #1977C22semidirect
152. #1977C22semidirect
155. #1952C22semidirect
156. #1952C22semidirect
157. #1952C22semidirect
158. #1951C22semidirect
159. #1951C22semidirect
160. #1950C22semidirect
161. #1950C22semidirect
169. #1931C22semidirect
170. #1931C22semidirect
171. #1931C22semidirect
172. #1931C22semidirect
173. #1931C22semidirect
174. #1931C22semidirect
175. #1931C22semidirect
176. #1931C22semidirect
177. #1931C22semidirect
178. #1931C22semidirect
179. #1931C22semidirect
180. #1931C22semidirect
181. #1930C22semidirect
182. #1930C22semidirect
183. #1930C22semidirect
184. #1908C22semidirect
186. #1907C22semidirect
187. #1907C22semidirect
188. #1907C22semidirect
189. #1907C22semidirect
190. #1901C22semidirect
191. #1901C22semidirect
192. #1901C22semidirect
193. #1901C22semidirect
198. #1855C22semidirect
199. #1855C22semidirect
200. #1855C22semidirect
201. #1855C22semidirect
202. #1838C22semidirect
203. #1822C22semidirect
204. #1821C22semidirect
205. #1816C22semidirect
206. #1811C22semidirect
207. #1810C22semidirect
208. #1801C22semidirect
212. #1778C22semidirect
213. C4×#101C22semidirect
215. #1742C22semidirect
216. C2×#343C22semidirect
217. #1738C22semidirect
218. C2×#341C22semidirect
1058. #100#41semidirect

Maximal subgroups

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

subgroupindex
#612532
#611552
C2×#33102
#602162
#331272
#331222
#330642
#286742
#285962
#285932
#282212
#281372
#281342
#254932
#253152
#252672
#252642
#251442
#247242
#246732
#246252
#246202
#245212
#227182
#224802
D4×#1002
#215572
#210782
C2×#19312