Finite Group Databasebeta

← #72314897

Subgroups — #72314897

Order 1024.

14787 conjugacy classes of subgroups.

The subgroup lattice has 1973 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3109C211yesmaximal, characteristic, complemented
2C2×#60286C211yesmaximal, characteristic, complemented
3#7633907C211yesmaximal, characteristic, complemented
4#7628492C211yesmaximal, characteristic, complemented
5#6529865C214yesmaximal, complemented
6#6526580C214yesmaximal, complemented
7#6519575C214yesmaximal, complemented
8#6514298C218yesmaximal, complemented
9#6513555C214yesmaximal, complemented
10#6508866C214yesmaximal, complemented
11#6500436C214yesmaximal, complemented
12#6467316C218yesmaximal, complemented
13#6456533C218yesmaximal, complemented
14#6454321C218yesmaximal, complemented
15#6375051C211yesmaximal, characteristic, complemented
16#6374668C211yesmaximal, characteristic, complemented
17C2×#20739C211yesmaximal, characteristic, complemented
18C2×#3444C2211yescharacteristic
19C22×#532C2211yescharacteristic
20C23×C4×D4C2211yescharacteristic
21C2×#3109—216no—
22C2×#3109C2214yes—
23C2×#3109C2214yes—
24C2×#3109C2214yes—
25C2×#3109C2214yes—
26C22×#481C2212yes—
27C22×#476C2212yes—
28C22×#459C2212yes—
29C22×#447C2212yes—
30#60286—216no—
31C2×#2992C2214yescomplemented
32C2×#2992C2214yescomplemented
33C2×#2987C2212yescomplemented
34C2×#2980C2212yescomplemented
35C2×#2977C2214yes—
36C2×#2970C2214yescomplemented
37C2×#2970C2214yescomplemented
38C22×#442C2214yes—
39C2×#2923C2214yescomplemented
40C22×#432C2211yescharacteristic
41C22×#432C2211yescharacteristic
42#37619C2212yescomplemented
43#37618C2212yescomplemented
44#37617C2212yescomplemented
45#37614C2212yescomplemented
46#37556—22no—
47#37554C2214yescomplemented
48#37544—22no—
49#37537—21no—
50#37536—21no—
51#37446—22no—
52#37439C2214yes—
53#36687—22no—
54#36614—22no—
55#35240—21no—
56#35237—21no—
57#35236C2214yescomplemented
58#35233—22no—
59#35232C2214yes—
60#35227C2212yes—
61#35222C2212yes—
62#35172C2212yescomplemented
63#35165C2212yescomplemented
64#35102—22no—
65#35050—22no—
66#34965—22no—
67#34963C2214yescomplemented
68#34963C2214yescomplemented
69#34946—21no—
70#34937C2214yescomplemented
71#34936—21no—
72#34935C2214yes—
73#34738—22no—
74#34641—21no—
75#34637—21no—
76#34609C2214yescomplemented
77#34593—22no—
78#34593—22no—
79C4×#535C2214yescomplemented
80#34012C2211yescharacteristic
81C2×#2283C2211yescharacteristic
82#28276C22116yescomplemented
83#28237C22116yescomplemented
84#28197C22116yescomplemented
85#28152C22116yescomplemented
86#28107C2218yescomplemented
87#28104C2218yes—
88#28097C2218yes—
89#28094C2218yescomplemented
90#27663C2218yescomplemented
91#27658C2218yescomplemented
92#25485C22116yescomplemented
93#25396C22116yescomplemented
94#25354C22116yescomplemented
95#25304C22116yescomplemented
96#25252C22116yescomplemented
97#25238C22116yescomplemented
98#25124C22116yescomplemented
99#25108C22116yescomplemented
100#24851C22116yescomplemented
101#24762C22116yescomplemented
102#24716C22116yescomplemented
103#24662C22116yescomplemented
104#24618C22116yescomplemented
105#24568C22116yescomplemented
106#24512C22116yescomplemented
107#24390C22116yescomplemented
108#24272C2218yes—
109#24267C2218yes—
110#23708C22116yescomplemented
111#23708C22116yescomplemented
112#21989C2214yescomplemented
113#21986C2214yescomplemented
114#21960C2214yescomplemented
115#21941C2214yes—
116#21884C2214yescomplemented
117#21869C2214yescomplemented
118#21841C2212yescomplemented
119#21810C2212yescomplemented
120#21761C2214yes—
121#21538C22116yescomplemented
122#21526C22116yescomplemented
123#21408C2214yescomplemented
124#21393C2214yescomplemented
125#21366C2214yescomplemented
126#21363C2214yescomplemented
127#20823C2214yescomplemented
128#20739C2214yes—
129#20739C2214yes—
130#20739C2214yescomplemented
131#20739C2214yescomplemented
132#20738C2214yescomplemented
133C2×#1823C2212yes—
134C2×#1804C2214yescomplemented
135C2×#1786C2212yes—
136C2×#1762C2214yescomplemented
137C23×#41—21no—
138C24×D4C2311yescharacteristic
139C25×C4—21no—
140C23×D8C2314yes—
141C2×#535C2314yes—
142#3444—28no—
143#3444—28no—
144C2×#533D411yescharacteristic
145C2×#533D411yescharacteristic
146C2×#533C2311yescharacteristic
147C2×#532—21no—
148C2×#532—21no—
149C2×#532—21no—
150C2×#532—21no—
151C2×#532—24no—
152C2×#532—28no—
153C2×#532—28no—
154C2×#532D411yescharacteristic
155C2×#532D411yescharacteristic
156C2×#532C2312yes—
157C2×#532C2312yes—
158C2×#532C2312yes—
159C2×#532C2312yes—
160C2×#532C2311yescharacteristic
161C22×C4⋊Q8C2311yescharacteristic
162C22×#127C2311yescharacteristic
163C2×#529D412yes—
164C2×#529D412yes—
165C2×#529D412yes—
166C2×#529D412yes—
167C2×#529C2312yes—
168C2×#529C2312yes—
169C22×#124—21no—
170C2×#525—24no—
171C2×#525D412yes—
172C2×#525D412yes—
173C2×#525C2312yes—
174C22×#121—21no—
175C22×#121C2312yes—
176C2×C4×#41C2312yes—
177C2×C4×#41C2312yes—
178C2×C4×#41C2312yes—
179C22×C4×D4—21no—
180C22×C4×D4—21no—
181C22×C4×D4—21no—
182C22×C4×D4—21no—
183C22×C4×D4—21no—
184C22×C4×D4—21no—
185C22×C4×D4—21no—
186C22×C4×D4—28no—
187C22×C4×D4—28no—
188C22×C4×D4C2312yes—
189C22×C4×D4C2312yes—
190C22×C4×D4C2312yes—
191C22×C4×D4C2312yes—
192C22×C4×D4C2312yes—
193C22×C4×D4C2312yes—
194C22×C4×D4C2312yes—
195C23×C4⋊C4C2311yescharacteristic
196C23×C22⋊C4—21no—
197C23×C42C2311yescharacteristic
198#3109—232no—
199#3109—232no—
200#3109—232no—
201#3109—232no—
202C2×#481—216no—
203C2×#481C2318yes—
204C2×#481C2318yes—
205C2×#476—216no—
206C2×#476C2318yes—
207C2×#476C2318yes—
208C2×#469C23116yes—
209C2×#466C23116yes—
210C2×#459—216no—
211C2×#459C2318yes—
212C2×#459C2318yes—
213C2×#447—216no—
214C2×#447C2318yes—
215C2×#447C2318yes—
216#2992—232no—
217#2992—232no—
218#2987—216no—
219#2980—216no—
220#2977—232no—
221#2970—232no—
222#2970—232no—
223C2×#446C2318yescomplemented
224C2×#446C2318yescomplemented
225C2×#442—232no—
226C2×#442C23116yes—
227C2×#442C23116yes—
228C2×#435C2318yes—
229C2×#435C2318yes—
230C2×#435C2318yescomplemented
231C2×#435C2318yescomplemented
232C2×C8×D4C2318yes—
233C2×C8×D4C2318yes—
234#2923—232no—
235C2×#433C2318yes—
236C2×#433C2318yescomplemented
237C2×#432—28no—
238C2×#432D4116yescomplemented
239C2×#432C2312yes—
240C2×#432C2312yes—
241C2×#432C2312yes—
242C2×#432C2312yes—
243C2×#432C2312yes—
244C2×#432C2312yes—
245C2×#432C2312yes—
246C2×#432C2312yes—
247C2×#432C2314yescomplemented
248C2×#432C2314yescomplemented
249C22×#106C2314yes—
250C2×#424C2318yescomplemented
251C22×C4⋊C8C2312yes—
252C22×C4⋊C8C2312yes—
253C22×#102C2314yes—
254C22×#102C2314yes—
255C22×#102C2318yes—
256C2×#408C2318yes—
257C22×C22⋊C8C2312yes—
258C22×C22⋊C8C2312yes—
259C2×C4×M16C2314yescomplemented
260C22×#97C2312yes—
261C22×#97C2312yes—
262C22×#97C2314yescomplemented
263#2849—28no—
264#2849—24no—
265#2848—24no—
266#2848—24no—
267#2847—24no—
268#2847—24no—
269#2846—24no—
270#2821—24no—
271#2820—24no—
272#2819—24no—
273#2818—24no—
274#2816—24no—
275#2815—24no—
276#2813—28no—
277#2658—22no—
278#2658—22no—
279#2657—22no—
280#2657—22no—
281#2656—24no—
282#2656—24no—
283#2642—22no—
284#2641—22no—
285#2640—22no—
286#2640—22no—
287#2639—24no—
288#2639—24no—
289#2636—28no—
290#2636—28no—
291#2635—28no—
292#2633—24no—
293#2633—24no—
294#2632—24no—
295#2631—24no—
296#2631—24no—
297#2631—24no—
298#2628C2318yescomplemented
299#2626—24no—
300#2626—24no—
301#2624C2318yes—
302#2623—24no—
303#2623—24no—
304#2619C2318yescomplemented
305#2617—24no—
306#2617—24no—
307#2615C2318yes—
308#2613—24no—
309#2613—24no—
310#2603—28no—
311#2598—28no—
312#2598—28no—
313#2580C2318yes—
314#2580C2318yescomplemented
315#2566—24no—
316#2563—22no—
317#2562—24no—
318#2561—24no—
319#2548C2314yescomplemented
320#2547—22no—
321#2547C2314yescomplemented
322#2546C2314yescomplemented
323#2545—24no—
324#2544—24no—
325#2544—24no—
326#2543—28no—
327#2542—22no—
328#2541—22no—
329#2541C2314yescomplemented
330#2540—24no—
331#2539—24no—
332#2538C2318yes—
333#2537C2318yes—
334#2536—24no—
335#2535—24no—
336#2535C2318yes—
337#2535C2318yescomplemented
338#2534—28no—
339#2504—22no—
340#2503—22no—
341#2502—22no—
342#2501—22no—
343#2487C2318yes—
344#2487C2318yes—
345#2486C2318yes—
346#2482—24no—
347#2482—24no—
348#2436—22no—
349#2435—22no—
350#2435—22no—
351#2435—22no—
352#2434—22no—
353#2433—22no—
354#2433—22no—
355#2433—22no—
356#2432—24no—
357#2431—24no—
358#2430—28no—
359#2416C23116yes—
360#2411—28no—
361#2410—28no—
362#2408C2318yes—
363#2408C2318yes—
364#2408C2318yes—
365#2404—24no—
366#2404—24no—
367#2398—24no—
368#2398—24no—
369#2398—24no—
370#2397—24no—
371#2397—24no—
372#2397—24no—
373#2392—28no—
374#2392—28no—
375#2388—28no—
376#2328—24no—
377#2326—24no—
378#2324C23116yes—
379#2321—28no—
380#2317C2314yes—
381#2311C2314yes—
382#2309C2314yes—
383C4×#127—24no—
384C4×#124—24no—
385C4×#121C23116yes—
386C4×#121C23116yescomplemented
387C4×#120—28no—
388C4×#120—28no—
389C4×#120—28no—
390#2297—24no—
391#2285C2312yes—
392#2285C2312yes—
393#2285C2312yes—
394#2283—21no—
395#2283—21no—
396#2283—21no—
397#2283—21no—
398#2283—21no—
399#2283—21no—
400#2283—21no—
401#2283—21no—
402#2283C2312yes—
403#2283C2312yes—
404#2283C2312yes—
405#2283C2312yes—
406#2283C2312yes—
407#2283C2312yes—
408C2×#383—21no—
409C2×#382C2312yes—
410#2280—21no—
411#2280—21no—
412#2280—24no—
413#2280C2312yes—
414C2×#381—21no—
415C2×#380C2312yes—
416C4×#117—21no—
417C4×#117—21no—
418C4×#117C2312yes—
419C2×C4×C4⋊C4C2312yes—
420C2×C4×C22⋊C4—21no—
421C2×#376—21no—
422#2088C23116yescomplemented
423#2088C23116yescomplemented
424#2077C23116yescomplemented
425#2077C23116yescomplemented
426#2067C23116yes—
427#2067C23116yescomplemented
428#2065C23116yes—
429#2065C23116yescomplemented
430#2054C23116yes—
431#2054C23116yes—
432#2034C23116yes—
433#2034C23116yescomplemented
434#2033C23116yes—
435#2033C23116yescomplemented
436#1999C23116yes—
437#1999C23116yes—
438#1993C2318yescomplemented
439#1988C2318yescomplemented
440#1982C2318yescomplemented
441#1972C23116yes—
442#1970C23116yes—
443#1961C2318yescomplemented
444#1949C23116yescomplemented
445#1949C23116yescomplemented
446#1943C23116yescomplemented
447#1941C23116yescomplemented
448#1936C23116yes—
449#1936C23116yescomplemented
450#1934C23116yes—
451#1934C23116yescomplemented
452#1895C23116yes—
453#1895C23116yescomplemented
454#1893C23116yes—
455#1893C23116yes—
456#1893C23116yescomplemented
457#1875C23116yes—
458#1854C23116yes—
459#1853C2318yes—
460#1852C2318yes—
461#1847C2318yescomplemented
462#1836C2318yescomplemented
463#1824C2314yes—
464#1824C2314yes—
465#1823C2318yes—
466#1823C2318yes—
467#1809C23116yescomplemented
468#1808C2318yes—
469#1807C2318yes—
470#1807C23116yescomplemented
471#1804C2318yes—
472#1804C2318yes—
473#1804C2318yes—
474#1804C2318yes—
475#1802C23116yescomplemented
476#1786C2314yes—
477#1786C2314yes—
478#1786C2318yes—
479#1786C2318yes—
480#1776C23116yescomplemented
481#1762C23116yes—
482#1762C23116yes—
483#1762C23116yescomplemented
484C2×#340C2318yes—
485C26—21no—
486C22×#41—22no—
487C22×#41—22no—
488C22×#41—22no—
489C22×#41—22no—
490C22×#41—48no—
491C22×#41—88no—
492C22×#41C2×D412yes—
493C22×#41C2×D412yes—
494C22×#41C2412yes—
495C23×Q8—21no—
496C23×D4—22no—
497C23×D4—24no—
498C23×D4—21no—
499C23×D4—21no—
500C23×D4—21no—
501C23×D4—21no—
502C23×D4—21no—
503C23×D4—24no—
504C23×D4—48no—
505C23×D4C2412yes—
506C23×D4C2412yes—
507C23×D4C2412yes—
508C23×D4C2412yes—
509C24×C4—21no—
510C24×C4—22no—
511C24×C4—22no—
512C24×C4—22no—
513C24×C4—22no—
514C24×C4—22no—
515C24×C4—22no—
516C24×C4—22no—
517C24×C4—48no—
518C24×C4—88no—
519C24×C4C2×D411yescharacteristic
520C24×C4C2×D411yescharacteristic
521C24×C4C2411yescharacteristic
522C22×D8—216no—
523C22×D8—416no—
524C22×D8C24116yes—
525C22×M16C2418yes—
526C23×C8C2418yes—
527C23×C8C2414yes—
528C23×C8C2414yes—
529#535—416no—
530#533—28no—
531#533—28no—
532#533—24no—
533#533—24no—
534#532—28no—
535#532—28no—
536#532—24no—
537#532—28no—
538#532—28no—
539#532—28no—
540#532—28no—
541#532—24no—
542#532—28no—
543#532—28no—
544#532—28no—
545#532—28no—
546#532—48no—
547#532—48no—
548#532—48no—
549#532—48no—
550#532—816no—
551C2×C4⋊Q8—24no—
552C2×C4⋊Q8—21no—
553C2×C4⋊Q8—21no—
554C2×C4⋊Q8—24no—
555C2×C4⋊Q8—24no—
556C2×C4⋊Q8C2×D411yescharacteristic
557C2×C4⋊Q8C2×D411yescharacteristic
558C2×C4⋊Q8C2×D411yescharacteristic
559C2×C4⋊Q8C2412yes—
560C2×C4⋊Q8C2412yes—
561C2×#127—24no—
562C2×#127—24no—
563C2×#127—24no—
564C2×#127—21no—
565C2×#127—21no—
566C2×#127—24no—
567C2×#127C2×D411yescharacteristic
568C2×#127C2412yes—
569C2×#127C2412yes—
570#529—216no—
571#529—216no—
572#529—216no—
573#529—216no—
574#529—28no—
575#529—28no—
576#529—28no—
577#529—28no—
578C2×#126C2×D414yes—
579C2×#126C2×D414yes—
580C2×#125C2×D412yes—
581C2×#125C2×D412yes—
582C2×#125C2×D412yes—
583C2×#124—24no—
584C2×#124—24no—
585C2×#124—24no—
586C2×#124—22no—
587C2×#124—22no—
588C2×#124—22no—
589C2×#124—22no—
590C2×#124—48no—
591C2×#124C2×D412yes—
592C2×#124C2×D412yes—
593C2×#124C2×D412yes—
594#525—216no—
595#525—216no—
596#525—28no—
597#525—28no—
598#525—816no—
599C2×#123—28no—
600C2×#123C2×D414yes—
601C2×#123C2×D414yes—
602C2×#123C2×D414yes—
603C2×C22⋊Q8—28no—
604C2×C22⋊Q8C2×D412yes—
605C2×C22⋊Q8C2×D412yes—
606C2×C22⋊Q8C2×D412yes—
607C2×C22⋊Q8C2×D412yes—
608C2×C22⋊Q8C2×D412yes—
609C2×C22⋊Q8C2×D412yes—
610C2×#121—22no—
611C2×#121—22no—
612C2×#121—22no—
613C2×#121—22no—
614C2×#121—22no—
615C2×#121—22no—
616C2×#121—28no—
617C2×#121—216no—
618C2×#121—28no—
619C2×#121—28no—
620C2×#121—48no—
621C2×#121C2×D412yes—
622C2×#121C2×D412yes—
623C2×#121C2×D412yes—
624C2×#121C2×D412yes—
625C2×#121C2×D412yes—
626C2×#121C2×D412yes—
627C2×#121C2414yes—
628C2×#121C2414yes—
629C2×#121C24116yes—
630C2×#121C24116yes—
631C2×#120—28no—
632C2×#120—28no—
633C2×#120—28no—
634C2×#120—28no—
635C2×#120C2×D414yes—
636C4×#41—28no—
637C4×#41—28no—
638C4×#41—28no—
639C4×#41—28no—
640C4×#41—28no—
641C4×#41—28no—
642C2×C4×Q8C2×D412yes—
643C2×C4×Q8C2×D412yes—
644C2×C4×Q8C2×D412yes—
645C2×C4×Q8C2×D412yes—
646C2×C4×Q8C2412yes—
647C2×C4×Q8C2412yes—
648C2×C4×D4—216no—
649C2×C4×D4—216no—
650C2×C4×D4—22no—
651C2×C4×D4—22no—
652C2×C4×D4—22no—
653C2×C4×D4—22no—
654C2×C4×D4—22no—
655C2×C4×D4—22no—
656C2×C4×D4—22no—
657C2×C4×D4—22no—
658C2×C4×D4—22no—
659C2×C4×D4—22no—
660C2×C4×D4—22no—
661C2×C4×D4—22no—
662C2×C4×D4—22no—
663C2×C4×D4—22no—
664C2×C4×D4—22no—
665C2×C4×D4—22no—
666C2×C4×D4—22no—
667C2×C4×D4—22no—
668C2×C4×D4—28no—
669C2×C4×D4—28no—
670C2×C4×D4—28no—
671C2×C4×D4—28no—
672C2×C4×D4—28no—
673C2×C4×D4—28no—
674C2×C4×D4—28no—
675C2×C4×D4—28no—
676C2×C4×D4—28no—
677C2×C4×D4—28no—
678C2×C4×D4—28no—
679C2×C4×D4—28no—
680C2×C4×D4—28no—
681C2×C4×D4—28no—
682C2×C4×D4—48no—
683C2×C4×D4—48no—
684C2×C4×D4—48no—
685C2×C4×D4—48no—
686C2×C4×D4—48no—
687C2×C4×D4—48no—
688C2×C4×D4—48no—
689C2×C4×D4C2×D412yes—
690C2×C4×D4C2×D414yes—
691C2×C4×D4C2×D412yes—
692C2×C4×D4C2×D414yes—
693C2×C4×D4C2×D412yes—
694C2×C4×D4C2×D412yes—
695C2×C4×D4C2×D414yes—
696C2×C4×D4C2×D414yes—
697C2×C4×D4C2414yes—
698C2×C4×D4C2414yes—
699C2×C4×D4C2414yes—
700C2×C4×D4C2414yes—
701C2×C4×D4C2414yes—
702C2×C4×D4C2414yes—
703C2×C4×D4C2414yes—
704C2×C4×D4C2414yes—
705C2×C4×D4C2412yes—
706C2×C4×D4C2412yes—
707C2×#117—22no—
708C2×#117—22no—
709C2×#117C2×D414yes—
710C2×#117C2×D414yes—
711C2×#117C2×D412yes—
712C2×#117C2×D412yes—
713C2×#117C2414yes—
714C2×#117C2412yes—
715C2×#117C2414yes—
716C22×C4⋊C4—24no—
717C22×C4⋊C4—24no—
718C22×C4⋊C4—21no—
719C22×C4⋊C4—21no—
720C22×C4⋊C4—21no—
721C22×C4⋊C4—21no—
722C22×C4⋊C4C2412yes—
723C22×C4⋊C4C2412yes—
724C22×C4⋊C4C2412yes—
725C22×C4⋊C4C2412yes—
726C22×C4⋊C4C2414yes—
727C22×C22⋊C4—22no—
728C22×C22⋊C4—22no—
729C22×C22⋊C4—22no—
730C22×C22⋊C4—22no—
731C22×C22⋊C4—22no—
732C22×C22⋊C4—22no—
733C22×C22⋊C4—22no—
734C22×C22⋊C4—22no—
735C22×C22⋊C4—22no—
736C22×C22⋊C4—48no—
737C22×C42—22no—
738C22×C42C2×D411yescharacteristic
739C22×C42C2×D411yescharacteristic
740C22×C42C2×D411yescharacteristic
741C22×C42C2×D411yescharacteristic
742C22×C42C2×D411yescharacteristic
743C22×C42C2×D411yescharacteristic
744C22×C42C2×D418yes—
745C22×C42#4118yes—
746C22×C42C2414yes—
747C22×C42C2411yescharacteristic
748C22×C42C2411yescharacteristic
749C22×C42C2411yescharacteristic
750C22×C42C2411yescharacteristic
751C22×C42C2411yescharacteristic
752C22×C42C2411yescharacteristic
753#481—232no—
754#481—232no—
755#476—232no—
756#476—232no—
757#469—432no—
758#466—432no—
759#459—232no—
760#459—232no—
761#447—232no—
762#447—232no—
763#446—232no—
764#446—232no—
765#442—264no—
766#442—264no—
767#435—232no—
768#435—232no—
769#435—232no—
770#435—232no—
771C8×D4—232no—
772C8×D4—232no—
773#433—232no—
774#433—232no—
775#432—28no—
776#432—28no—
777#432—28no—
778#432—28no—
779#432—216no—
780#432—216no—
781#432C2×D4116yes—
782#432C2×D4116yes—
783#432C2×D4116yes—
784#432C2×D4116yes—
785C2×#107C24116yes—
786C2×#106—216no—
787C2×#106C24116yes—
788C2×#106C24116yes—
789#424—232no—
790C2×C4⋊C8—28no—
791C2×C4⋊C8C2×D4116yes—
792C2×C4⋊C8C2418yes—
793C2×C4⋊C8C2418yes—
794C2×C4⋊C8C2414yes—
795C2×C4⋊C8C2414yes—
796C2×C4⋊C8C2414yes—
797C2×C4⋊C8C2414yes—
798C2×#102—216no—
799C2×#102—216no—
800C2×#102—416no—
801C2×#102C24116yes—
802C2×#102C24116yes—
803C2×#102C24116yes—
804C2×#102C24116yes—
805C2×#102C24116yes—
806C2×#102C24116yes—
807#408—232no—
808C2×C22⋊C8—28no—
809C2×C22⋊C8C2×D4116yes—
810C2×C22⋊C8C2418yes—
811C2×C22⋊C8C2418yes—
812C2×C22⋊C8C2414yes—
813C2×C22⋊C8C2414yes—
814C2×C22⋊C8C2414yes—
815C2×C22⋊C8C2414yes—
816C4×M16—216no—
817C2×#97—28no—
818C2×#97—216no—
819C2×#97C2×D4116yes—
820C2×#97C2414yes—
821C2×#97C2414yes—
822C2×#97C2418yes—
823C2×#97C2414yes—
824C2×#97C2414yes—
825C2×C4×C8C2418yes—
826#400—28no—
827#400—28no—
828#400—28no—
829#399—28no—
830#399—28no—
831#399—28no—
832#399—28no—
833#399—28no—
834#399—28no—
835#398—28no—
836#398—28no—
837#397—28no—
838#397—28no—
839#397—28no—
840#397—28no—
841#397—28no—
842#396—216no—
843#396—216no—
844#395—28no—
845#394—28no—
846#394—28no—
847#394—28no—
848#394—28no—
849#394—28no—
850#394—28no—
851#394—216no—
852#394—216no—
853#394—216no—
854#393—28no—
855#393—28no—
856#393—28no—
857#393—28no—
858#392—28no—
859#392—28no—
860#392—216no—
861#392—28no—
862#392—28no—
863#392—28no—
864#392—28no—
865#392—28no—
866#392—28no—
867#392—28no—
868#391—24no—
869#391—24no—
870#391—24no—
871#390—24no—
872#390—24no—
873#390—24no—
874#390—24no—
875#390—24no—
876#390—216no—
877#390C24116yes—
878#390C24116yes—
879#389C24116yes—
880#389C24116yes—
881#388—216no—
882#388—216no—
883#388—216no—
884#386—28no—
885#386—28no—
886#386—28no—
887#386—216no—
888#386—216no—
889#386—216no—
890#386—216no—
891#386—216no—
892#386—216no—
893#385—216no—
894#385—216no—
895#385—216no—
896#385—28no—
897#385—28no—
898#385—28no—
899#384—24no—
900#384C2414yes—
901#383—22no—
902#383—22no—
903#383—22no—
904#383—22no—
905#383—22no—
906#383—22no—
907#382—24no—
908#382—22no—
909#382—22no—
910#382—22no—
911#382—22no—
912#382C2414yes—
913#382C2414yes—
914#382C2414yes—
915#381—22no—
916#381—22no—
917#381—22no—
918#381—22no—
919#381—22no—
920#381—22no—
921#381—22no—
922#381—28no—
923#380—22no—
924#380—22no—
925#380—22no—
926#380—22no—
927#380—22no—
928#380—22no—
929#380—28no—
930#380—28no—
931#380C24116yes—
932#380C2414yes—
933#380C2414yes—
934#380C24116yes—
935#380C2414yes—
936#380C2414yes—
937#379—22no—
938#379—28no—
939#379—28no—
940#379—28no—
941#379—28no—
942C4×C4⋊C4—22no—
943C4×C4⋊C4—22no—
944C4×C4⋊C4—22no—
945C4×C4⋊C4—22no—
946C4×C4⋊C4—22no—
947C4×C4⋊C4—22no—
948C4×C4⋊C4C2414yes—
949C4×C4⋊C4C2414yes—
950C4×C4⋊C4C2414yes—
951C4×C4⋊C4C2414yes—
952C4×C22⋊C4—22no—
953C4×C22⋊C4—22no—
954C4×C22⋊C4—22no—
955C4×C22⋊C4—22no—
956C4×C22⋊C4—22no—
957C4×C22⋊C4—22no—
958C4×C22⋊C4—22no—
959C4×C22⋊C4—22no—
960C4×C22⋊C4—22no—
961C4×C22⋊C4—22no—
962C4×C22⋊C4—216no—
963C4×C22⋊C4—216no—
964#376—22no—
965#376—22no—
966#376—22no—
967#376—22no—
968#376—22no—
969#376—22no—
970#376—22no—
971C2×#95—22no—
972C2×#95—22no—
973C2×#95—22no—
974C2×#95—22no—
975C43—22no—
976#340C24116yes—
977#340C24116yes—
978#340C24116yes—
979#340C24116yes—
980#340C24116yes—
981#340C24116yes—
982C25—22no—
983C25—22no—
984C25—22no—
985C25—22no—
986C25—48no—
987C25—44no—
988C25—84no—
989C25—84no—
990C25C22×D411yescharacteristic
991C2×#41—28no—
992C2×#41—28no—
993C2×#41—24no—
994C2×#41—24no—
995C2×#41—48no—
996C2×#41—48no—
997C2×#41—48no—
998C2×#41—416no—
999C2×#41—48no—
1000C2×#41—48no—
1001C2×#41—48no—
1002C2×#41—48no—
1003C2×#41—88no—
1004C2×#41—88no—
1005C2×#41—88no—
1006C2×#41—864no—
1007C22×Q8—22no—
1008C22×Q8—22no—
1009C22×Q8—44no—
1010C22×Q8—84no—
1011C22×Q8C22×D412yes—
1012C22×Q8C22×D412yes—
1013C22×Q8C22×D412yes—
1014C22×D4—28no—
1015C22×D4—28no—
1016C22×D4—28no—
1017C22×D4—24no—
1018C22×D4—216no—
1019C22×D4—24no—
1020C22×D4—216no—
1021C22×D4—24no—
1022C22×D4—22no—
1023C22×D4—24no—
1024C22×D4—24no—
1025C22×D4—24no—
1026C22×D4—22no—
1027C22×D4—22no—
1028C22×D4—22no—
1029C22×D4—22no—
1030C22×D4—22no—
1031C22×D4—22no—
1032C22×D4—22no—
1033C22×D4—24no—
1034C22×D4—24no—
1035C22×D4—24no—
1036C22×D4—24no—
1037C22×D4—44no—
1038C22×D4—44no—
1039C22×D4—44no—
1040C22×D4—48no—
1041C22×D4—432no—
1042C22×D4—432no—
1043C22×D4—48no—
1044C22×D4—48no—
1045C22×D4—48no—
1046C22×D4—48no—
1047C22×D4—44no—
1048C22×D4—44no—
1049C22×D4—44no—
1050C22×D4—44no—
1051C22×D4—44no—
1052C22×D4—84no—
1053C22×D4—84no—
1054C22×D4—88no—
1055C22×D4C22×D414yes—
1056C22×D4C22×D414yes—
1057C22×D4C22×D414yes—
1058C22×D4C22×D412yes—
1059C22×D4C22×D412yes—
1060C22×D4C22×D412yes—
1061C22×D4C2514yes—
1062C22×D4C2514yes—
1063C23×C4—22no—
1064C23×C4—22no—
1065C23×C4—22no—
1066C23×C4—22no—
1067C23×C4—24no—
1068C23×C4—24no—
1069C23×C4—24no—
1070C23×C4—24no—
1071C23×C4—24no—
1072C23×C4—24no—
1073C23×C4—24no—
1074C23×C4—44no—
1075C23×C4—44no—
1076C23×C4—44no—
1077C23×C4—416no—
1078C23×C4—44no—
1079C23×C4—48no—
1080C23×C4—48no—
1081C23×C4—48no—
1082C23×C4—48no—
1083C23×C4—48no—
1084C23×C4—48no—
1085C23×C4—48no—
1086C23×C4—88no—
1087C23×C4—88no—
1088C23×C4—88no—
1089C23×C4—88no—
1090C23×C4—88no—
1091C23×C4—88no—
1092C23×C4—84no—
1093C23×C4—864no—
1094C23×C4#12118yes—
1095C23×C4#12118yes—
1096C23×C4C22×D411yescharacteristic
1097C23×C4C22×D411yescharacteristic
1098C23×C4C22×D411yescharacteristic
1099C23×C4C22×D411yescharacteristic
1100C23×C4C22×D414yes—
1101C23×C4C22×D414yes—
1102C23×C4C22×D411yescharacteristic
1103C23×C4C22×D411yescharacteristic
1104C23×C4C22×D411yescharacteristic
1105C23×C4C22×D411yescharacteristic
1106C23×C4C22×D411yescharacteristic
1107C23×C4C22×D411yescharacteristic
1108C23×C4C22×D411yescharacteristic
1109C23×C4C22×D411yescharacteristic
1110C23×C4C22×D411yescharacteristic
1111C23×C4C22×D411yescharacteristic
1112C23×C4C22×D411yescharacteristic
1113C23×C4C22×D414yes—
1114C23×C4C2×#4114yes—
1115C23×C4C2514yes—
1116C23×C4C2511yescharacteristic
1117C23×C4C2511yescharacteristic
1118C23×C4C2511yescharacteristic
1119C2×D8—232no—
1120C2×D8—232no—
1121C2×D8—416no—
1122C2×D8—464no—
1123C2×M16—216no—
1124C2×M16—416no—
1125C22×C8—28no—
1126C22×C8—216no—
1127C22×C8—48no—
1128C22×C8—48no—
1129C22×C8—416no—
1130C22×C8C22×D4116yes—
1131C22×C8C2518yes—
1132C22×C8C2518yes—
1133C4⋊Q8—24no—
1134C4⋊Q8—24no—
1135C4⋊Q8—24no—
1136C4⋊Q8—24no—
1137C4⋊Q8—24no—
1138C4⋊Q8—24no—
1139C4⋊Q8—24no—
1140C4⋊Q8—44no—
1141C4⋊Q8—44no—
1142C4⋊Q8—88no—
1143#127—24no—
1144#127—24no—
1145#127—24no—
1146#127—24no—
1147#127—24no—
1148#127—416no—
1149#127—44no—
1150#127—44no—
1151#127—88no—
1152#126—216no—
1153#126—216no—
1154#125—28no—
1155#125—28no—
1156#125—28no—
1157#124—28no—
1158#124—28no—
1159#124—28no—
1160#124—416no—
1161#124—48no—
1162#124—48no—
1163#124—48no—
1164#124—48no—
1165#124—88no—
1166#124—88no—
1167#123—216no—
1168#123—216no—
1169#123—216no—
1170#123—816no—
1171C22⋊Q8—28no—
1172C22⋊Q8—28no—
1173C22⋊Q8—28no—
1174C22⋊Q8—28no—
1175C22⋊Q8—28no—
1176C22⋊Q8—28no—
1177C22⋊Q8—816no—
1178#121—28no—
1179#121—28no—
1180#121—28no—
1181#121—28no—
1182#121—28no—
1183#121—28no—
1184#121—232no—
1185#121—28no—
1186#121—28no—
1187#121—28no—
1188#121—28no—
1189#121—416no—
1190#121—48no—
1191#121—48no—
1192#121—48no—
1193#121—48no—
1194#121—48no—
1195#121—48no—
1196#121—416no—
1197#121—416no—
1198#121—816no—
1199#121—832no—
1200#120—216no—
1201#120—432no—
1202#120—816no—
1203#120—816no—
1204#120—816no—
1205C4×Q8—28no—
1206C4×Q8—28no—
1207C4×Q8—28no—
1208C4×Q8—28no—
1209C4×Q8—24no—
1210C4×Q8—24no—
1211C4×Q8—24no—
1212C4×Q8—24no—
1213C4×D4—216no—
1214C4×D4—216no—
1215C4×D4—216no—
1216C4×D4—216no—
1217C4×D4—28no—
1218C4×D4—28no—
1219C4×D4—28no—
1220C4×D4—28no—
1221C4×D4—28no—
1222C4×D4—28no—
1223C4×D4—28no—
1224C4×D4—28no—
1225C4×D4—24no—
1226C4×D4—24no—
1227C4×D4—28no—
1228C4×D4—28no—
1229C4×D4—28no—
1230C4×D4—28no—
1231C4×D4—28no—
1232C4×D4—28no—
1233C4×D4—24no—
1234C4×D4—24no—
1235C4×D4—28no—
1236C4×D4—28no—
1237C4×D4—28no—
1238C4×D4—28no—
1239C4×D4—28no—
1240C4×D4—28no—
1241C4×D4—48no—
1242C4×D4—48no—
1243C4×D4—48no—
1244C4×D4—48no—
1245C4×D4—48no—
1246C4×D4—48no—
1247C4×D4—48no—
1248C4×D4—48no—
1249C4×D4—48no—
1250C4×D4—48no—
1251C4×D4—48no—
1252C4×D4—48no—
1253C4×D4—48no—
1254C4×D4—48no—
1255C4×D4—48no—
1256C4×D4—48no—
1257C4×D4—48no—
1258C4×D4—48no—
1259C4×D4—832no—
1260C4×D4—832no—
1261#117—28no—
1262#117—28no—
1263#117—24no—
1264#117—24no—
1265#117—216no—
1266#117—216no—
1267#117—28no—
1268#117—28no—
1269#117—48no—
1270#117—48no—
1271#117—84no—
1272C2×C4⋊C4—24no—
1273C2×C4⋊C4—24no—
1274C2×C4⋊C4—24no—
1275C2×C4⋊C4—24no—
1276C2×C4⋊C4—24no—
1277C2×C4⋊C4—24no—
1278C2×C4⋊C4—24no—
1279C2×C4⋊C4—24no—
1280C2×C4⋊C4—22no—
1281C2×C4⋊C4—22no—
1282C2×C4⋊C4—22no—
1283C2×C4⋊C4—22no—
1284C2×C4⋊C4—22no—
1285C2×C4⋊C4—22no—
1286C2×C4⋊C4—24no—
1287C2×C4⋊C4—24no—
1288C2×C4⋊C4—24no—
1289C2×C4⋊C4—216no—
1290C2×C4⋊C4—216no—
1291C2×C4⋊C4—48no—
1292C2×C4⋊C4—44no—
1293C2×C4⋊C4—44no—
1294C2×C4⋊C4—44no—
1295C2×C4⋊C4—44no—
1296C2×C4⋊C4C22×D412yes—
1297C2×C4⋊C4C22×D412yes—
1298C2×C4⋊C4C22×D414yes—
1299C2×C4⋊C4C22×D414yes—
1300C2×C4⋊C4C22×D412yes—
1301C2×C4⋊C4C22×D412yes—
1302C2×C4⋊C4C22×D414yes—
1303C2×C4⋊C4C22×D414yes—
1304C2×C4⋊C4C22×D412yes—
1305C2×C4⋊C4C22×D412yes—
1306C2×C4⋊C4C22×D414yes—
1307C2×C4⋊C4C22×D414yes—
1308C2×C4⋊C4C2514yes—
1309C2×C4⋊C4C2514yes—
1310C2×C4⋊C4C2518yes—
1311C2×C4⋊C4C2518yes—
1312C2×C22⋊C4—24no—
1313C2×C22⋊C4—24no—
1314C2×C22⋊C4—24no—
1315C2×C22⋊C4—24no—
1316C2×C22⋊C4—24no—
1317C2×C22⋊C4—24no—
1318C2×C22⋊C4—24no—
1319C2×C22⋊C4—24no—
1320C2×C22⋊C4—24no—
1321C2×C22⋊C4—24no—
1322C2×C22⋊C4—24no—
1323C2×C22⋊C4—24no—
1324C2×C22⋊C4—216no—
1325C2×C22⋊C4—24no—
1326C2×C22⋊C4—216no—
1327C2×C22⋊C4—216no—
1328C2×C22⋊C4—216no—
1329C2×C22⋊C4—216no—
1330C2×C22⋊C4—216no—
1331C2×C22⋊C4—216no—
1332C2×C22⋊C4—216no—
1333C2×C22⋊C4—48no—
1334C2×C22⋊C4—48no—
1335C2×C22⋊C4—48no—
1336C2×C22⋊C4—48no—
1337C2×C22⋊C4—48no—
1338C2×C22⋊C4—48no—
1339C2×C22⋊C4—48no—
1340C2×C22⋊C4—48no—
1341C2×C22⋊C4—84no—
1342C2×C22⋊C4C22×D414yes—
1343C2×C22⋊C4C22×D414yes—
1344C2×C22⋊C4C22×D414yes—
1345C2×C22⋊C4C22×D414yes—
1346C2×C22⋊C4C22×D414yes—
1347C2×C22⋊C4C22×D414yes—
1348C2×C22⋊C4C22×D414yes—
1349C2×C22⋊C4C22×D414yes—
1350C2×C22⋊C4C22×D414yes—
1351C2×C42—28no—
1352C2×C42—28no—
1353C2×C42—24no—
1354C2×C42—24no—
1355C2×C42—24no—
1356C2×C42—24no—
1357C2×C42—24no—
1358C2×C42—48no—
1359C2×C42#12118yes—
1360C2×C42#12118yes—
1361C2×C42#12118yes—
1362C2×C42#12118yes—
1363C2×C42#12118yes—
1364C2×C42#12118yes—
1365C2×C42C22×D414yes—
1366C2×C42C22×D414yes—
1367C2×C42C22×D411yescharacteristic
1368C2×C42C22×D411yescharacteristic
1369C2×C42C22×D411yescharacteristic
1370C2×C42C22×D411yescharacteristic
1371C2×C42C22×D411yescharacteristic
1372C2×C42C22×D411yescharacteristic
1373C2×C42C22×D411yescharacteristic
1374C2×C42C22×D411yescharacteristic
1375C2×C42C22×D411yescharacteristic
1376C2×C42C22×D411yescharacteristic
1377C2×C42C22×D411yescharacteristic
1378C2×C42C22×D411yescharacteristic
1379C2×C42C22×D414yes—
1380C2×C42C22×D414yes—
1381C2×C42C22×D414yes—
1382C2×C42C22×D414yes—
1383C2×C42C22×D414yes—
1384C2×C42C22×D414yes—
1385C2×C42C2×#4114yes—
1386C2×C42C2×#4114yes—
1387C2×C42C2×#4114yes—
1388C2×C42C2×#4114yes—
1389C2×C42C2×#4114yes—
1390C2×C42C2×#4114yes—
1391C2×C42C2514yes—
1392C2×C42C2511yescharacteristic
1393C2×C42C2511yescharacteristic
1394C2×C42C2511yescharacteristic
1395C2×C42C2511yescharacteristic
1396#107—416no—
1397#106—232no—
1398#106—416no—
1399C4⋊C8—216no—
1400C4⋊C8—216no—
1401C4⋊C8—28no—
1402C4⋊C8—28no—
1403C4⋊C8C22×D4116yes—
1404C4⋊C8C22×D4116yes—
1405#102—232no—
1406#102—232no—
1407#102—232no—
1408#102—416no—
1409#102—416no—
1410#102—416no—
1411C22⋊C8—28no—
1412C22⋊C8—28no—
1413C22⋊C8—216no—
1414C22⋊C8—216no—
1415C22⋊C8C22×D4116yes—
1416C22⋊C8C22×D4116yes—
1417#97—216no—
1418#97—28no—
1419#97—28no—
1420#97C22×D4116yes—
1421#97C22×D4116yes—
1422C4×C8—216no—
1423#95—24no—
1424#95—24no—
1425#95—24no—
1426#95—24no—
1427#95—24no—
1428#95—24no—
1429#95—24no—
1430#95—24no—
1431#95—24no—
1432#95—24no—
1433#95—24no—
1434#95—24no—
1435#95—24no—
1436#95—24no—
1437#95—216no—
1438#95—216no—
1439#95—216no—
1440#95—216no—
1441C24—24no—
1442C24—24no—
1443C24—28no—
1444C24—24no—
1445C24—24no—
1446C24—42no—
1447C24—48no—
1448C24—48no—
1449C24—44no—
1450C24—432no—
1451C24—44no—
1452C24—44no—
1453C24—44no—
1454C24—48no—
1455C24—48no—
1456C24—44no—
1457C24—48no—
1458C24—84no—
1459C24—84no—
1460C24—84no—
1461C24—84no—
1462C24—84no—
1463C24—84no—
1464C24—816no—
1465C24—816no—
1466C24—864no—
1467C24C2×#12114yes—
1468C24C23×D414yes—
1469C24C23×D411yescharacteristic
1470C24C23×D411yescharacteristic
1471C24C23×D411yescharacteristic
1472#41—88no—
1473#41—88no—
1474#41—816no—
1475#41—816no—
1476#41—832no—
1477#41—832no—
1478#41—832no—
1479#41—832no—
1480C2×Q8—24no—
1481C2×Q8—24no—
1482C2×Q8—24no—
1483C2×Q8—44no—
1484C2×Q8—44no—
1485C2×Q8—44no—
1486C2×Q8—48no—
1487C2×Q8—44no—
1488C2×Q8—44no—
1489C2×Q8—84no—
1490C2×Q8—816no—
1491C2×D4—216no—
1492C2×D4—216no—
1493C2×D4—28no—
1494C2×D4—216no—
1495C2×D4—216no—
1496C2×D4—28no—
1497C2×D4—28no—
1498C2×D4—28no—
1499C2×D4—24no—
1500C2×D4—24no—
1501C2×D4—24no—
1502C2×D4—24no—
1503C2×D4—24no—
1504C2×D4—24no—
1505C2×D4—24no—
1506C2×D4—216no—
1507C2×D4—24no—
1508C2×D4—24no—
1509C2×D4—24no—
1510C2×D4—416no—
1511C2×D4—416no—
1512C2×D4—416no—
1513C2×D4—416no—
1514C2×D4—48no—
1515C2×D4—48no—
1516C2×D4—44no—
1517C2×D4—48no—
1518C2×D4—48no—
1519C2×D4—416no—
1520C2×D4—48no—
1521C2×D4—44no—
1522C2×D4—44no—
1523C2×D4—44no—
1524C2×D4—48no—
1525C2×D4—432no—
1526C2×D4—432no—
1527C2×D4—432no—
1528C2×D4—416no—
1529C2×D4—48no—
1530C2×D4—48no—
1531C2×D4—432no—
1532C2×D4—44no—
1533C2×D4—44no—
1534C2×D4—44no—
1535C2×D4—44no—
1536C2×D4—44no—
1537C2×D4—44no—
1538C2×D4—44no—
1539C2×D4—44no—
1540C2×D4—88no—
1541C2×D4—84no—
1542C2×D4—84no—
1543C2×D4—84no—
1544C2×D4—84no—
1545C2×D4—816no—
1546C2×D4—88no—
1547C2×D4—816no—
1548C2×D4—816no—
1549C2×D4—816no—
1550C2×D4—816no—
1551C2×D4—816no—
1552C2×D4—816no—
1553C2×D4—832no—
1554C2×D4#58518yes—
1555C22×C4—24no—
1556C22×C4—24no—
1557C22×C4—24no—
1558C22×C4—24no—
1559C22×C4—24no—
1560C22×C4—24no—
1561C22×C4—24no—
1562C22×C4—24no—
1563C22×C4—24no—
1564C22×C4—216no—
1565C22×C4—28no—
1566C22×C4—28no—
1567C22×C4—28no—
1568C22×C4—28no—
1569C22×C4—24no—
1570C22×C4—24no—
1571C22×C4—48no—
1572C22×C4—48no—
1573C22×C4—416no—
1574C22×C4—42no—
1575C22×C4—42no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—416no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—48no—
1587C22×C4—48no—
1588C22×C4—416no—
1589C22×C4—416no—
1590C22×C4—416no—
1591C22×C4—48no—
1592C22×C4—44no—
1593C22×C4—44no—
1594C22×C4—44no—
1595C22×C4—44no—
1596C22×C4—48no—
1597C22×C4—48no—
1598C22×C4—48no—
1599C22×C4—48no—
1600C22×C4—48no—
1601C22×C4—48no—
1602C22×C4—48no—
1603C22×C4—88no—
1604C22×C4—88no—
1605C22×C4—88no—
1606C22×C4—832no—
1607C22×C4—832no—
1608C22×C4—84no—
1609C22×C4—84no—
1610C22×C4—84no—
1611C22×C4—84no—
1612C22×C4—84no—
1613C22×C4—832no—
1614C22×C4—832no—
1615C22×C4—832no—
1616C22×C4—832no—
1617C22×C4—832no—
1618C22×C4—816no—
1619C22×C4C2×#12114yes—
1620C22×C4C2×#12114yes—
1621C22×C4C2×#12114yes—
1622C22×C4C2×#12114yes—
1623C22×C4C2×#12114yes—
1624C22×C4C2×#12114yes—
1625C22×C4C2×#12114yes—
1626C22×C4C2×#12114yes—
1627C22×C4C2×#12114yes—
1628C22×C4C2×#12114yes—
1629C22×C4C2×#12114yes—
1630C22×C4C2×#12114yes—
1631C22×C4C2×#12114yes—
1632C22×C4C2×#12114yes—
1633C22×C4C2×#12114yes—
1634C22×C4C23×D414yes—
1635C22×C4C23×D414yes—
1636C22×C4C23×D414yes—
1637C22×C4C23×D412yes—
1638C22×C4C23×D412yes—
1639C22×C4C23×D412yes—
1640C22×C4C23×D411yescharacteristic
1641C22×C4C23×D411yescharacteristic
1642C22×C4C23×D411yescharacteristic
1643C22×C4C23×D411yescharacteristic
1644C22×C4C23×D411yescharacteristic
1645C22×C4C23×D411yescharacteristic
1646C22×C4C23×D411yescharacteristic
1647C22×C4C23×D411yescharacteristic
1648C22×C4C23×D411yescharacteristic
1649C22×C4C23×D411yescharacteristic
1650C22×C4C23×D411yescharacteristic
1651C22×C4C22×#4112yes—
1652C22×C4C22×#4112yes—
1653C22×C4C22×#4112yes—
1654C22×C4C2611yescharacteristic
1655D8—464no—
1656M16—816no—
1657C2×C8—216no—
1658C2×C8—28no—
1659C2×C8—216no—
1660C2×C8—416no—
1661C2×C8—816no—
1662C2×C8—88no—
1663C2×C8C23×D4116yes—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—28no—
1671C4⋊C4—28no—
1672C4⋊C4—28no—
1673C4⋊C4—28no—
1674C4⋊C4—28no—
1675C4⋊C4—28no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—216no—
1681C4⋊C4—216no—
1682C4⋊C4—48no—
1683C4⋊C4—44no—
1684C4⋊C4—44no—
1685C4⋊C4—44no—
1686C4⋊C4—44no—
1687C4⋊C4—44no—
1688C4⋊C4—44no—
1689C4⋊C4—84no—
1690C4⋊C4—84no—
1691C4⋊C4—816no—
1692C4⋊C4—816no—
1693C22⋊C4—28no—
1694C22⋊C4—28no—
1695C22⋊C4—28no—
1696C22⋊C4—28no—
1697C22⋊C4—28no—
1698C22⋊C4—28no—
1699C22⋊C4—28no—
1700C22⋊C4—28no—
1701C22⋊C4—28no—
1702C22⋊C4—432no—
1703C22⋊C4—48no—
1704C22⋊C4—48no—
1705C22⋊C4—48no—
1706C22⋊C4—48no—
1707C22⋊C4—48no—
1708C22⋊C4—48no—
1709C22⋊C4—48no—
1710C22⋊C4—48no—
1711C22⋊C4—48no—
1712C22⋊C4—48no—
1713C22⋊C4—48no—
1714C22⋊C4—48no—
1715C22⋊C4—816no—
1716C22⋊C4—816no—
1717C22⋊C4—816no—
1718C22⋊C4—816no—
1719C22⋊C4—816no—
1720C22⋊C4—84no—
1721C22⋊C4—816no—
1722C22⋊C4—816no—
1723C42—24no—
1724C42—24no—
1725C42—28no—
1726C42—28no—
1727C42—48no—
1728C42—48no—
1729C42—48no—
1730C42—48no—
1731C42—84no—
1732C42C2×#12114yes—
1733C42C2×#12114yes—
1734C42C2×#12114yes—
1735C42C2×#12114yes—
1736C42C2×#12114yes—
1737C42C2×#12114yes—
1738C42C2×#12114yes—
1739C42C2×#12114yes—
1740C42C2×#12114yes—
1741C42C2×#12114yes—
1742C42C2×#12114yes—
1743C42C2×#12114yes—
1744C42C23×D412yes—
1745C42C23×D412yes—
1746C42C23×D412yes—
1747C42C23×D412yes—
1748C42C22×#4112yes—
1749C42C22×#4112yes—
1750C42C22×#4112yes—
1751C42C22×#4112yes—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23—22no—
1756C23—28no—
1757C23—28no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—28no—
1762C23—28no—
1763C23—28no—
1764C23—28no—
1765C23—24no—
1766C23—44no—
1767C23—416no—
1768C23—416no—
1769C23—416no—
1770C23—416no—
1771C23—44no—
1772C23—48no—
1773C23—48no—
1774C23—44no—
1775C23—48no—
1776C23—48no—
1777C23—48no—
1778C23—44no—
1779C23—832no—
1780C23—832no—
1781C23—88no—
1782C23—88no—
1783C23—88no—
1784C23—88no—
1785C23—88no—
1786C23—88no—
1787C23—816no—
1788C23—8128no—
1789C23—816no—
1790C23—88no—
1791C23—88no—
1792C23—88no—
1793C23—1616no—
1794C23C22×#12112yes—
1795C23C22×#12112yes—
1796C23C22×#12112yes—
1797C23#358514yes—
1798C23#358514yes—
1799C23C24×D411yescharacteristic
1800Q8—84no—
1801Q8—84no—
1802Q8—84no—
1803Q8—88no—
1804Q8—88no—
1805D4—28no—
1806D4—28no—
1807D4—416no—
1808D4—416no—
1809D4—416no—
1810D4—416no—
1811D4—416no—
1812D4—44no—
1813D4—48no—
1814D4—44no—
1815D4—48no—
1816D4—84no—
1817D4—84no—
1818D4—84no—
1819D4—88no—
1820D4—88no—
1821D4—88no—
1822D4—88no—
1823D4—88no—
1824D4—88no—
1825D4—816no—
1826D4—816no—
1827D4—1632no—
1828D4—1632no—
1829C2×C4—28no—
1830C2×C4—28no—
1831C2×C4—28no—
1832C2×C4—28no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—24no—
1846C2×C4—24no—
1847C2×C4—24no—
1848C2×C4—24no—
1849C2×C4—24no—
1850C2×C4—28no—
1851C2×C4—28no—
1852C2×C4—28no—
1853C2×C4—24no—
1854C2×C4—24no—
1855C2×C4—24no—
1856C2×C4—44no—
1857C2×C4—44no—
1858C2×C4—44no—
1859C2×C4—44no—
1860C2×C4—44no—
1861C2×C4—44no—
1862C2×C4—44no—
1863C2×C4—44no—
1864C2×C4—44no—
1865C2×C4—44no—
1866C2×C4—44no—
1867C2×C4—48no—
1868C2×C4—48no—
1869C2×C4—48no—
1870C2×C4—48no—
1871C2×C4—48no—
1872C2×C4—48no—
1873C2×C4—48no—
1874C2×C4—48no—
1875C2×C4—48no—
1876C2×C4—48no—
1877C2×C4—44no—
1878C2×C4—44no—
1879C2×C4—88no—
1880C2×C4—88no—
1881C2×C4—816no—
1882C2×C4—816no—
1883C2×C4—816no—
1884C2×C4—816no—
1885C2×C4—816no—
1886C2×C4—816no—
1887C2×C4—88no—
1888C2×C4—88no—
1889C2×C4—88no—
1890C2×C4—88no—
1891C2×C4—168no—
1892C2×C4C22×#12112yes—
1893C2×C4C22×#12112yes—
1894C2×C4C22×#12112yes—
1895C2×C4C22×#12112yes—
1896C2×C4C22×#12112yes—
1897C2×C4C22×#12112yes—
1898C2×C4C22×#12112yes—
1899C2×C4C22×#12112yes—
1900C2×C4C22×#12112yes—
1901C2×C4C22×#12112yes—
1902C2×C4C22×#12112yes—
1903C2×C4C24×D411yescharacteristic
1904C2×C4C23×#4111yescharacteristic
1905C2×C4C2×#58514yes—
1906C8—216no—
1907C8—48no—
1908C22—22no—
1909C22—22no—
1910C22—22no—
1911C22—22no—
1912C22—28no—
1913C22—28no—
1914C22—22no—
1915C22—22no—
1916C22—22no—
1917C22—416no—
1918C22—44no—
1919C22—44no—
1920C22—44no—
1921C22—44no—
1922C22—48no—
1923C22—416no—
1924C22—416no—
1925C22—832no—
1926C22—832no—
1927C22—832no—
1928C22—84no—
1929C22—84no—
1930C22—88no—
1931C22—84no—
1932C22—84no—
1933C22—84no—
1934C22—816no—
1935C22—1616no—
1936C22#6045414yes—
1937C22#6045414yes—
1938C22C23×#12111yescharacteristic
1939C22#6281112yes—
1940C22C2×#358512yes—
1941C22C2×#358512yes—
1942C4—22no—
1943C4—22no—
1944C4—22no—
1945C4—22no—
1946C4—22no—
1947C4—22no—
1948C4—22no—
1949C4—22no—
1950C4—22no—
1951C4—22no—
1952C4—22no—
1953C4—44no—
1954C4—44no—
1955C4—44no—
1956C4—84no—
1957C4—84no—
1958C4—88no—
1959C4—88no—
1960C4#6281112yes—
1961C4#6281412yes—
1962C2—24no—
1963C2—24no—
1964C2—42no—
1965C2—84no—
1966C2—88no—
1967C2—164no—
1968C2#762912211yescharacteristic
1969C2C2×#6045411yescharacteristic
1970C2C2×#6045411yescharacteristic
1971C2#1058037914yes—
subgroupG/H
center, socleC23C24×D4
commutator, Frattini, cosocleC22×C4C26
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#3444 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#3109C2semidirect
2. C2×#60286C2semidirect
3. #7633907C2semidirect
4. #7628492C2semidirect
5. #6529865C2semidirect
6. #6526580C2semidirect
7. #6519575C2semidirect
8. #6514298C2semidirect
9. #6513555C2semidirect
10. #6508866C2semidirect
11. #6500436C2semidirect
12. #6467316C2semidirect
13. #6456533C2semidirect
14. #6454321C2semidirect
15. #6375051C2semidirect
16. #6374668C2semidirect
17. C2×#20739C2semidirect
31. C2×#2992C22semidirect
32. C2×#2992C22semidirect
33. C2×#2987C22semidirect
34. C2×#2980C22semidirect
36. C2×#2970C22semidirect
37. C2×#2970C22semidirect
39. C2×#2923C22semidirect
42. #37619C22semidirect
43. #37618C22semidirect
44. #37617C22semidirect
45. #37614C22semidirect
47. #37554C22semidirect
57. #35236C22semidirect
62. #35172C22semidirect
63. #35165C22semidirect
67. #34963C22semidirect
68. #34963C22semidirect
70. #34937C22semidirect
76. #34609C22semidirect
79. C4×#535C22semidirect
82. #28276C22semidirect
83. #28237C22semidirect
84. #28197C22semidirect
85. #28152C22semidirect
86. #28107C22semidirect
89. #28094C22semidirect
90. #27663C22semidirect
91. #27658C22semidirect
92. #25485C22semidirect
93. #25396C22semidirect
94. #25354C22semidirect
95. #25304C22semidirect
96. #25252C22semidirect
97. #25238C22semidirect
98. #25124C22semidirect
99. #25108C22semidirect
100. #24851C22semidirect
101. #24762C22semidirect
102. #24716C22semidirect
103. #24662C22semidirect
104. #24618C22semidirect
105. #24568C22semidirect
106. #24512C22semidirect
107. #24390C22semidirect
110. #23708C22semidirect
111. #23708C22semidirect
112. #21989C22semidirect
113. #21986C22semidirect
114. #21960C22semidirect
116. #21884C22semidirect
117. #21869C22semidirect
118. #21841C22semidirect
119. #21810C22semidirect
121. #21538C22semidirect
122. #21526C22semidirect
123. #21408C22semidirect
124. #21393C22semidirect
125. #21366C22semidirect
126. #21363C22semidirect
127. #20823C22semidirect
130. #20739C22semidirect
131. #20739C22semidirect
132. #20738C22semidirect
134. C2×#1804C22semidirect
136. C2×#1762C22semidirect
223. C2×#446C23semidirect
224. C2×#446C23semidirect
230. C2×#435C23semidirect
231. C2×#435C23semidirect
236. C2×#433C23semidirect
238. C2×#432D4semidirect
247. C2×#432C23semidirect
248. C2×#432C23semidirect
250. C2×#424C23semidirect
259. C2×C4×M16C23semidirect
262. C22×#97C23semidirect
298. #2628C23semidirect
304. #2619C23semidirect
314. #2580C23semidirect
319. #2548C23semidirect
321. #2547C23semidirect
322. #2546C23semidirect
329. #2541C23semidirect
337. #2535C23semidirect
386. C4×#121C23semidirect
422. #2088C23semidirect
423. #2088C23semidirect
424. #2077C23semidirect
425. #2077C23semidirect
427. #2067C23semidirect
429. #2065C23semidirect
433. #2034C23semidirect
435. #2033C23semidirect
438. #1993C23semidirect
439. #1988C23semidirect
440. #1982C23semidirect
443. #1961C23semidirect
444. #1949C23semidirect
445. #1949C23semidirect
446. #1943C23semidirect
447. #1941C23semidirect
449. #1936C23semidirect
451. #1934C23semidirect
453. #1895C23semidirect
456. #1893C23semidirect
461. #1847C23semidirect
462. #1836C23semidirect
467. #1809C23semidirect
470. #1807C23semidirect
475. #1802C23semidirect
480. #1776C23semidirect
483. #1762C23semidirect

Maximal subgroups

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

subgroupindex
C22×#31092
C2×#602862
#76339072
#76284922
#65298652
#65265802
#65195752
#65142982
#65135552
#65088662
#65004362
#64673162
#64565332
#64543212
#63750512
#63746682
C2×#207392