Finite Group Databasebeta

← #26005453

Subgroups — #26005453

Order 11008.

6528 conjugacy classes of subgroups.

The subgroup lattice has 2536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149246C212yesmaximal, complemented
2#19149242C212yesmaximal, complemented
3#19149211C214yesmaximal, complemented
4#19149098C212yesmaximal, complemented
5#19149092C212yesmaximal, complemented
6#19149082C212yesmaximal, complemented
7#19149065C212yesmaximal, complemented
8#19149031C212yesmaximal, complemented
9#19148932C212yesmaximal, complemented
10#19148791C214yesmaximal, complemented
11#19148690C212yesmaximal, complemented
12#19148677C212yesmaximal, complemented
13#19148633C214yesmaximal, complemented
14#19148610C212yesmaximal, complemented
15#19148575C212yesmaximal, complemented
16#19148561C212yesmaximal, complemented
17#19148561C212yesmaximal, complemented
18#19148489C211yesmaximal, characteristic, complemented
19#19148459C211yesmaximal, characteristic, complemented
20#19148452C212yesmaximal, complemented
21#19148450C212yesmaximal, complemented
22#19148446C211yesmaximal, characteristic, complemented
23#19148421C211yesmaximal, characteristic, complemented
24#19148416C211yesmaximal, characteristic, complemented
25#19148401C211yesmaximal, characteristic, complemented
26#19148393C211yesmaximal, characteristic, complemented
27#19148344C211yesmaximal, characteristic, complemented
28#19148337C211yesmaximal, characteristic, complemented
29#19148334C214yesmaximal, complemented
30#19148327C211yesmaximal, characteristic, complemented
31#19148320C211yesmaximal, characteristic, complemented
32#19147888C211yesmaximal, characteristic, complemented
33#533×D43C211yesmaximal, characteristic, complemented
34C2×#14583428C211yesmaximal, characteristic, complemented
35C43×#3510C211yesmaximal, characteristic, complemented
36#14583652C2214yescomplemented
37#14583651C2214yescomplemented
38#14583651C2214yescomplemented
39#14583650C2214yescomplemented
40#14583650C2214yescomplemented
41#14583649C2214yescomplemented
42#14583646C2214yescomplemented
43#14583643C2214yescomplemented
44#14583635C2212yescomplemented
45#14583631C2212yescomplemented
46#14583631C2212yescomplemented
47#14583631C2212yescomplemented
48#14583631C2212yescomplemented
49Q8×Dic86C2212yescomplemented
50Q8×Dic86C2212yescomplemented
51#14583628C2212yescomplemented
52#14583628C2212yescomplemented
53#14583627C2212yescomplemented
54#14583627C2212yescomplemented
55#14583625C2212yescomplemented
56#14583625C2212yescomplemented
57#14583625C2212yescomplemented
58#14583625C2212yescomplemented
59#14583625C2212yescomplemented
60#14583625C2212yescomplemented
61#14583624C2212yescomplemented
62#14583623C2212yescomplemented
63#14583622C2212yescomplemented
64#14583620C2212yescomplemented
65#14583620C2212yescomplemented
66#14583619C2214yescomplemented
67#14583618C2212yescomplemented
68#14583618C2212yescomplemented
69#14583618C2212yescomplemented
70#14583618C2212yescomplemented
71#14583618C2214yescomplemented
72#14583616C2214yescomplemented
73#14583616C2214yescomplemented
74#14583616C2214yescomplemented
75#14583614C2212yes—
76#14583613C2212yes—
77#14583613C2212yescomplemented
78#14583609C2212yescomplemented
79#14583609C2212yescomplemented
80#14583609C2212yescomplemented
81#14583608C2214yes—
82#14583608C2214yes—
83#14583608C2212yescomplemented
84#14583608C2212yescomplemented
85#14583608C2212yescomplemented
86#14583608C2212yescomplemented
87#14583608C2212yescomplemented
88#14583608C2212yescomplemented
89#14583607C2212yescomplemented
90#14583607C2212yescomplemented
91#14583606C2212yescomplemented
92#14583606C2212yescomplemented
93#14583603C2214yes—
94#14583603C2214yes—
95#14583601C2212yes—
96#14583601C2212yescomplemented
97#14583599C2212yes—
98#14583599C2212yes—
99#14583596C2212yes—
100#14583596C2212yescomplemented
101#14583591C2212yescomplemented
102#14583591C2212yescomplemented
103#14583591C2214yescomplemented
104#14583590C2212yescomplemented
105#14583590C2212yescomplemented
106#14583589C2214yescomplemented
107#14583588C2214yescomplemented
108#14583588C2214yescomplemented
109#14583586C2214yes—
110#14583586C2214yescomplemented
111#14583586C2214yescomplemented
112#14583586C2214yescomplemented
113#14583585C2214yescomplemented
114#14583585C2214yescomplemented
115#14583585C2214yescomplemented
116#14583583C2212yescomplemented
117#14583583C2212yescomplemented
118#14583582C2214yes—
119#14583582C2214yescomplemented
120#14583582C2214yescomplemented
121#14583580C2214yes—
122#14583575C2214yes—
123#14583575C2214yes—
124#14583575C2214yes—
125#14583573C2214yes—
126#14583572C2214yes—
127#14583569C2212yescomplemented
128D4×Dic86C2212yescomplemented
129D4×Dic86C2212yescomplemented
130#14583562C2214yescomplemented
131#14583558C2214yescomplemented
132#14583557C2214yescomplemented
133#14583554C2212yes—
134#14583554C2214yescomplemented
135#14583549C2212yes—
136#14583549C2212yescomplemented
137#14583547C2214yescomplemented
138#14583547C2214yescomplemented
139#14583547C2214yescomplemented
140#14583539C2214yes—
141#14583536C2214yes—
142#14583528C2214yescomplemented
143#14583527C2211yescharacteristic
144#14583527C2211yescharacteristic
145#14583527C2211yescharacteristic
146#14583527C2211yescharacteristic
147#14583527C2214yes—
148#14583527C2212yescomplemented
149#14583527C2212yescomplemented
150#14583526C2212yescomplemented
151#14583526C2212yescomplemented
152#14583525C2214yes—
153#14583521C2212yescomplemented
154#14583520C2214yescomplemented
155#14583518C2212yes—
156#14583518C2212yescomplemented
157#14583518C2212yescomplemented
158#14583518C2214yescomplemented
159#14583518C2212yescomplemented
160#14583517C2214yescomplemented
161#14583517C2214yescomplemented
162#14583517C2214yescomplemented
163#14583515C2214yescomplemented
164#14583514C2212yes—
165#14583513C2214yescomplemented
166#14583513C2214yescomplemented
167#14583511C2214yescomplemented
168#14583510C2212yescomplemented
169#14583509C2214yescomplemented
170#14583507C2212yescomplemented
171#14583506C2214yescomplemented
172#14583506C2214yescomplemented
173#14583506C2214yescomplemented
174#14583506C2214yescomplemented
175#14583503C2212yes—
176#14583500C2212yes—
177#14583498C2214yescomplemented
178#14583493C2214yes—
179#14583493C2214yescomplemented
180#14583492C2214yescomplemented
181#14583492C2214yescomplemented
182#14583492C2214yescomplemented
183#14583491C2214yescomplemented
184#14583491C2214yescomplemented
185#14583490C2214yescomplemented
186#14583490C2214yescomplemented
187#14583490C2214yescomplemented
188#14583484C2214yes—
189#14583473C2211yescharacteristic
190#14583472C2214yescomplemented
191#14583471C2214yescomplemented
192#14583469C2214yescomplemented
193#14583466C2211yescharacteristic
194#14583456C2211yescharacteristic
195#14583456C2212yescomplemented
196#14583455C2211yescharacteristic, complemented
197#14583455C2212yescomplemented
198#14583455C2211yescharacteristic, complemented
199#14583454C2212yescomplemented
200#14583454C2211yescharacteristic, complemented
201#14583454C2211yescharacteristic, complemented
202#14583453C2212yescomplemented
203#14583453C2211yescharacteristic, complemented
204#14583453C2212yescomplemented
205#14583453C2212yescomplemented
206#14583453C2211yescharacteristic, complemented
207#14583452C2214yes—
208#14583452C2211yescharacteristic
209#14583452C2211yescharacteristic
210#14583452C2211yescharacteristic
211#14583451C2212yes—
212#14583451C2212yes—
213#14583447C2212yes—
214#14583446C2212yes—
215#14583446C2211yescharacteristic, complemented
216#14583446C2211yescharacteristic, complemented
217#14583445C2211yescharacteristic
218C4⋊Q8×D43C2211yescharacteristic, complemented
219C4⋊Q8×D43C2211yescharacteristic, complemented
220#14583436C2211yescharacteristic, complemented
221#14583436C2212yescomplemented
222#14583436C2211yescharacteristic, complemented
223#14583431C2212yes—
224#14583431C2211yescharacteristic, complemented
225#14583431C2211yescharacteristic, complemented
226#14583429C2212yes—
227#14583429C2212yes—
228#14583428C2212yes—
229#14583428C2212yes—
230#14583428C2212yes—
231#14583428C2212yes—
232#14583428C2212yes—
233#14583428C2212yes—
234#14583428C2212yes—
235#14583428C2212yes—
236#14583428C2212yes—
237#14583428C2212yescomplemented
238#14583428C2212yescomplemented
239#14583428C2212yescomplemented
240#14583427C2212yescomplemented
241#14583427C2212yescomplemented
242#14583426C2214yes—
243C2×#13063318C2212yes—
244C2×#13063317C2211yescharacteristic
245C2×#13063317C2212yescomplemented
246#125×D43C2211yescharacteristic, complemented
247#125×D43C2212yescomplemented
248#125×D43C2211yescharacteristic, complemented
249#14583411C2211yescharacteristic
250#14583408C2212yes—
251#14583408C2212yes—
252#14583406C2211yescharacteristic
253#14583405C2214yes—
254C2×#13063307C2212yes—
255C2×#13063302C2214yes—
256C2×#13063301C2211yescharacteristic
257C22⋊Q8×D43C2212yes—
258C22⋊Q8×D43C2212yes—
259C2×#13063296C2211yescharacteristic
260#14583382C2211yescharacteristic
261#14583382C2211yescharacteristic
262#14583379C2211yescharacteristic
263#14583379C2211yescharacteristic
264#14583379C2214yescomplemented
265#14583378C2214yescomplemented
266#14583378C2214yescomplemented
267#14583377C2211yescharacteristic
268#14583376C2214yescomplemented
269#14583374C2211yescharacteristic
270C4×#10621898C2211yescharacteristic
271C4×#10621898C2212yescomplemented
272C4×#10621898C2212yescomplemented
273C2×Q8×Dic43C2211yescharacteristic
274C4×Q8×D43C2212yescomplemented
275C4×Q8×D43C2212yescomplemented
276C2×D4×Dic43C2211yescharacteristic
277C2×(C22⋊D43)⋊C4C2212yes—
278C2×#13063281C2212yes—
279#117×D43C2211yescharacteristic
280#117×D43C2211yescharacteristic
281C2×C42×D43C2211yescharacteristic
282C43×#559C2212yescomplemented
283C43×#559C2212yescomplemented
284C43×#556C2212yescomplemented
285C43×#556C2212yescomplemented
286C43×#551C2214yes—
287C43×#551C2214yes—
288C43×#542C2212yescomplemented
289C43×#542C2212yescomplemented
290C43×#536C2211yescharacteristic
291C43×#535C2211yescharacteristic
292C43×#533C2211yescharacteristic
293C43×#529C2212yescomplemented
294C43×#529C2212yescomplemented
295C2×#124×C43C2211yescharacteristic
296C43×#519C2211yescharacteristic
297C43×#518C2211yescharacteristic
298C4×#41×C43C2211yescharacteristic
299C2×#10621898C2311yescharacteristic
300C2×#10621898C2314yes—
301C2×#10621898C2312yes—
302C2×#10621898C2312yes—
303C2×#10621900C2314yes—
304C2×#10621900C2314yes—
305C22×Dic86C2314yes—
306C2×Q8×D43C2312yes—
307C2×Q8×D43C2312yes—
308C22×C22⋊D43C2312yes—
309C23×Dic43C2312yes—
310C22×C4×D43C2311yescharacteristic
311C22×C4×D43C2311yescharacteristic
312C22×C4×D43C2311yescharacteristic
313#13063325C2312yes—
314#13063325C2314yes—
315#13063325C2312yes—
316#13063325C2312yes—
317#13063325C2312yes—
318#13063325C2314yes—
319#13063325C2311yescharacteristic
320#13063325C2311yescharacteristic
321#13063324C2314yes—
322#13063324C2314yes—
323#13063324C2311yescharacteristic
324#13063324C2311yescharacteristic
325#13063324C2312yes—
326#13063324C2312yes—
327#13063324C2311yescharacteristic
328#13063324C2314yes—
329#13063324C2311yescharacteristic
330#13063324C2312yes—
331#13063324C2312yes—
332#13063324C2311yescharacteristic
333#13063324C2314yes—
334#13063324C2314yes—
335#13063324C2311yescharacteristic
336#13063324C2314yes—
337#13063324C2312yes—
338#13063324C2312yes—
339#13063323C2314yes—
340#13063323C2314yes—
341#13063323C2312yes—
342#13063323C2311yescharacteristic
343#13063323C2312yes—
344#13063323C2312yes—
345#13063321C2311yescharacteristic
346#13063321C2312yes—
347#13063320C2314yes—
348#13063320C2314yes—
349#13063320C2314yes—
350#13063320C2314yes—
351#13063320C2314yes—
352#13063320C2312yes—
353#13063320C2314yes—
354#13063320C2312yes—
355#13063319C2314yes—
356#13063319C2314yes—
357#13063318C2314yes—
358#13063318C2314yes—
359#13063318C2314yes—
360#13063318C2314yes—
361#13063318C2314yes—
362#13063318C2314yes—
363#13063318C2314yes—
364#13063318C2314yes—
365#13063318C2314yes—
366#13063318C2314yes—
367#13063318C2314yes—
368#13063318C2314yes—
369#13063318C2312yes—
370#13063318C2314yes—
371#13063318C2314yes—
372#13063318C2314yes—
373#13063318C2312yes—
374#13063318C2314yes—
375#13063318C2314yes—
376#13063318C2314yes—
377#13063317C2314yes—
378#13063317C2314yes—
379#13063317C2314yes—
380#13063317C2314yes—
381#13063317C2314yes—
382#13063317C2312yes—
383#13063317C2312yes—
384#13063317C2312yes—
385#13063317C2312yes—
386#13063317C2312yes—
387#13063317C2312yes—
388#13063317C2312yes—
389#13063317C2311yescharacteristic
390#13063317C2311yescharacteristic
391#13063317C2312yes—
392#13063316C2311yescharacteristic
393#13063316C2312yes—
394#13063316C2314yes—
395#13063316C2314yes—
396#13063316C2314yes—
397#13063316C2314yes—
398#13063316C2314yes—
399#13063316C2314yes—
400#13063316C2314yes—
401#13063316C2311yescharacteristic
402#13063316C2314yes—
403#13063316C2312yes—
404#13063316C2311yescharacteristic
405#13063316C2311yescharacteristic
406#13063316C2311yescharacteristic
407#13063316C2312yes—
408#13063316C2311yescharacteristic
409#13063316C2312yes—
410#13063315C2314yes—
411#13063315C2314yes—
412#13063315C2312yes—
413#13063315C2314yes—
414#13063315C2314yes—
415#13063315C2314yes—
416#13063315C2314yes—
417#13063315C2314yes—
418#13063315C2312yes—
419#13063315C2314yes—
420#13063315C2314yes—
421#13063315C2314yes—
422#13063315C2312yes—
423#13063315C2312yes—
424#13063315C2312yes—
425#13063315C2312yes—
426#13063314C2311yescharacteristic
427#13063314C2312yes—
428#13063313C2314yes—
429#13063312C2314yes—
430#13063312C2314yes—
431#13063312C2312yes—
432#13063312C2311yescharacteristic
433#13063311C2314yes—
434#13063311C2314yes—
435#13063311C2314yes—
436#13063311C2314yes—
437#13063311C2314yes—
438#13063311C2314yes—
439#13063311C2314yes—
440#13063311C2314yes—
441#13063311C2312yes—
442#13063311C2312yes—
443#13063310C2314yes—
444#13063310C2314yes—
445#13063310C2312yes—
446#13063310C2312yes—
447#13063309C2314yes—
448#13063309C2312yes—
449#13063309C2314yes—
450#13063309C2314yes—
451#13063309C2314yes—
452#13063309C2314yes—
453#13063309C2314yes—
454#13063308C2314yes—
455#13063308C2314yes—
456#13063308C2314yes—
457#13063307C2314yes—
458#13063307C2314yes—
459#13063307C2314yes—
460#13063307C2314yes—
461#13063307C2314yes—
462#13063307C2314yes—
463#13063307C2314yes—
464#13063307C2314yes—
465#13063307C2314yes—
466#13063307C2314yes—
467#13063307C2314yes—
468#13063307C2314yes—
469#13063307C2312yes—
470#13063307C2312yes—
471#13063306C2312yes—
472#13063306C2314yes—
473#13063306C2314yes—
474#13063306C2314yes—
475#13063306C2314yes—
476#13063305C2314yes—
477#13063305C2314yes—
478#13063305C2312yes—
479#13063305C2312yes—
480#13063305C2311yescharacteristic
481#13063305C2311yescharacteristic
482#13063304C2314yes—
483#13063304C2314yes—
484#13063304C2314yes—
485#13063304C2314yes—
486#13063304C2314yes—
487#13063304C2314yes—
488#13063304C2312yes—
489#13063304C2312yes—
490#13063304C2314yes—
491#13063303C2312yes—
492#13063303C2314yes—
493#13063303C2312yes—
494#13063303C2314yes—
495#13063303C2314yes—
496#13063303C2312yes—
497#13063303C2314yes—
498#13063303C2314yes—
499#13063303C2314yes—
500#13063303C2312yes—
501#13063303C2312yes—
502#13063303C2312yes—
503#13063302C2314yes—
504#13063302C2314yes—
505#13063302C2314yes—
506#13063302C2314yes—
507#13063302C2314yes—
508#13063302C2314yes—
509#13063302C2314yes—
510#13063302C2314yes—
511#13063302C2314yes—
512#13063302C2314yes—
513#13063302C2314yes—
514#13063302C2314yes—
515#13063302C2314yes—
516#13063302C2314yes—
517#13063302C2314yes—
518#13063302C2314yes—
519#13063302C2314yes—
520#13063302C2314yes—
521#13063302C2314yes—
522#13063302C2314yes—
523#13063302C2314yes—
524#13063302C2314yes—
525#13063302C2312yes—
526#13063302C2312yes—
527#13063302C2312yes—
528#13063302C2312yes—
529#13063302C2312yes—
530#13063302C2312yes—
531#13063301C2314yes—
532#13063301C2312yes—
533#13063301C2312yes—
534#13063301C2312yes—
535#13063301C2312yes—
536#13063301C2314yes—
537#13063301C2312yes—
538#13063301C2312yes—
539#13063301C2312yes—
540#13063301C2312yes—
541#13063301C2311yescharacteristic
542#13063301C2311yescharacteristic
543#13063300C2311yescharacteristic
544#13063300C2311yescharacteristic
545#13063299C2314yes—
546#13063298C2312yes—
547#13063298C2314yes—
548#13063298C2314yes—
549#13063298C2312yes—
550#13063297C2314yes—
551#13063297C2314yes—
552#13063297C2314yes—
553#13063297C2314yes—
554#13063297C2312yes—
555#13063297C2312yes—
556#13063296C2312yes—
557#13063296C2312yes—
558#13063296C2314yes—
559#13063296C2314yes—
560#13063296C2312yes—
561#13063296C2312yes—
562#13063296C2312yes—
563#13063296C2312yes—
564#13063296C2311yescharacteristic
565#13063296C2311yescharacteristic
566#13063295C2312yes—
567#13063294C2314yes—
568#13063293C2312yes—
569Q8×Dic43C2312yes—
570Q8×Dic43C2312yes—
571Q8×Dic43C2312yes—
572Q8×Dic43C2312yes—
573Q8×Dic43C2312yes—
574Q8×Dic43C2312yes—
575Q8×Dic43C2312yes—
576Q8×Dic43C2312yes—
577Q8×Dic43C2312yes—
578Q8×Dic43C2312yes—
579Q8×Dic43C2312yes—
580Q8×Dic43C2312yes—
581C4×Dic86C2314yes—
582C4×Dic86C2314yes—
583C4×Dic86C2312yes—
584C4×Dic86C2312yes—
585C4×Dic86C2312yes—
586C4×Dic86C2314yes—
587C4×Dic86C2314yes—
588C4×Dic86C2314yes—
589C4×Dic86C2314yes—
590C4×Dic86C2312yes—
591C4×Dic86C2312yes—
592C4×Dic86C2314yes—
593C4×Dic86C2312yes—
594C4×Dic86C2312yes—
595C4×Dic86C2312yes—
596C4×Dic86C2311yescharacteristic
597C4×Dic86C2311yescharacteristic
598C4×Dic86C2312yes—
599C4×Dic86C2312yes—
600C4×Dic86C2312yes—
601C4×Dic86C2312yes—
602#13063290C2314yes—
603#13063290C2314yes—
604#13063290C2312yes—
605#13063290C2312yes—
606#13063290C2314yes—
607#13063290C2314yes—
608#13063290C2312yes—
609#13063290C2312yes—
610#13063290C2312yes—
611#13063290C2312yes—
612C4×D172C2312yes—
613C4×D172C2314yes—
614C4×D172C2312yes—
615C4×D172C2312yes—
616C4×D172C2312yes—
617C4×D172C2311yescharacteristic
618C4×D172C2311yescharacteristic
619C4×D172C2312yes—
620C4×D172C2312yes—
621D4×Dic43C2312yes—
622D4×Dic43C2312yes—
623D4×Dic43C2312yes—
624D4×Dic43C2312yes—
625D4×Dic43C2312yes—
626D4×Dic43C2314yes—
627D4×Dic43C2314yes—
628D4×Dic43C2314yes—
629D4×Dic43C2314yes—
630D4×Dic43C2312yes—
631D4×Dic43C2312yes—
632D4×Dic43C2312yes—
633D4×Dic43C2312yes—
634D4×Dic43C2312yes—
635C4×C22⋊D43C2314yes—
636C4×C22⋊D43C2312yes—
637C4×C22⋊D43C2312yes—
638C4×C22⋊D43C2314yes—
639C4×C22⋊D43C2312yes—
640C4×C22⋊D43C2312yes—
641C4×C22⋊D43C2312yes—
642C4×C22⋊D43C2312yes—
643C4×C22⋊D43C2312yes—
644C4×C22⋊D43C2312yes—
645C4×C22⋊D43C2312yes—
646C4×C22⋊D43C2312yes—
647(C22⋊D43)⋊C4C2314yes—
648(C22⋊D43)⋊C4C2314yes—
649(C22⋊D43)⋊C4C2314yes—
650(C22⋊D43)⋊C4C2314yes—
651(C22⋊D43)⋊C4C2314yes—
652(C22⋊D43)⋊C4C2314yes—
653(C22⋊D43)⋊C4C2314yes—
654(C22⋊D43)⋊C4C2314yes—
655(C22⋊D43)⋊C4C2314yes—
656(C22⋊D43)⋊C4C2314yes—
657(C22⋊D43)⋊C4C2314yes—
658(C22⋊D43)⋊C4C2314yes—
659#13063284C2314yes—
660#13063284C2314yes—
661#13063284C2312yes—
662#13063284C2312yes—
663#13063284C2312yes—
664#13063284C2312yes—
665#13063284C2311yescharacteristic
666#13063284C2311yescharacteristic
667#13063284C2311yescharacteristic
668#13063283C2314yes—
669#13063283C2314yes—
670#13063283C2311yescharacteristic
671#13063283C2312yes—
672#13063283C2311yescharacteristic
673#13063283C2312yes—
674#13063283C2311yescharacteristic
675#13063283C2311yescharacteristic
676#13063282C2314yes—
677#13063282C2314yes—
678#13063282C2312yes—
679#13063282C2312yes—
680#13063282C2312yes—
681#13063282C2312yes—
682#13063282C2312yes—
683#13063282C2312yes—
684#13063282C2312yes—
685#13063281C2312yes—
686#13063281C2314yes—
687#13063281C2314yes—
688#13063281C2312yes—
689#13063281C2314yes—
690#13063281C2314yes—
691#13063281C2314yes—
692#13063281C2314yes—
693#13063281C2314yes—
694#13063281C2314yes—
695#13063281C2314yes—
696#13063281C2314yes—
697C2×C4⋊Dic43C2314yes—
698C2×C4⋊Dic43C2312yes—
699C2×C4⋊Dic43C2312yes—
700C2×C4⋊Dic43C2311yescharacteristic
701C2×C4⋊Dic43C2311yescharacteristic
702C2×C4⋊Dic43C2312yes—
703C2×Dic43⋊C4C2312yes—
704C2×Dic43⋊C4C2314yes—
705C2×Dic43⋊C4C2314yes—
706C2×Dic43⋊C4C2314yes—
707C2×Dic43⋊C4C2314yes—
708C2×Dic43⋊C4C2312yes—
709C2×Dic43⋊C4C2312yes—
710C4⋊C4×D43C2311yescharacteristic
711C4⋊C4×D43C2312yes—
712C4⋊C4×D43C2312yes—
713C4⋊C4×D43C2314yes—
714C4⋊C4×D43C2312yes—
715C4⋊C4×D43C2312yes—
716C4⋊C4×D43C2314yes—
717C4⋊C4×D43C2311yescharacteristic
718C4⋊C4×D43C2312yes—
719C4⋊C4×D43C2311yescharacteristic
720C4⋊C4×D43C2311yescharacteristic
721C4⋊C4×D43C2312yes—
722C4⋊C4×D43C2312yes—
723C4⋊C4×D43C2312yes—
724C2×C22⋊Dic43C2312yes—
725C2×C22⋊Dic43C2314yes—
726C2×C22⋊Dic43C2312yes—
727C2×(C2×D43)⋊C4C2312yes—
728C22⋊C4×D43C2312yes—
729C22⋊C4×D43C2312yes—
730C2×C4×Dic43C2311yescharacteristic
731C2×C4×Dic43C2311yescharacteristic
732C2×C4×Dic43C2311yescharacteristic
733C2×C4×Dic43C2312yes—
734C42×D43C2311yescharacteristic
735C42×D43C2311yescharacteristic
736C42×D43C2311yescharacteristic
737C42×D43C2311yescharacteristic
738C42×D43C2311yescharacteristic
739C42×D43C2311yescharacteristic
740C42×D43C2311yescharacteristic
741C42×D43C2311yescharacteristic
742C42×D43C2312yes—
743C42×D43C2312yes—
744C42×D43C2312yes—
745C2×#41×C43C2311yescharacteristic
746C22×Q8×C43C2311yescharacteristic
747C22×D4×C43C2311yescharacteristic
748C4⋊Q8×C43C2311yescharacteristic
749C4⋊Q8×C43C2311yescharacteristic
750C4⋊Q8×C43C2312yes—
751#127×C43C2312yes—
752#126×C43C2314yes—
753#126×C43C2314yes—
754#126×C43C2314yes—
755#126×C43C2314yes—
756#125×C43C2311yescharacteristic
757#125×C43C2311yescharacteristic
758#124×C43C2314yes—
759#124×C43C2312yes—
760#124×C43C2312yes—
761#124×C43C2312yes—
762#124×C43C2312yes—
763#124×C43C2312yes—
764#124×C43C2312yes—
765#124×C43C2314yes—
766#123×C43C2314yes—
767#123×C43C2314yes—
768#123×C43C2314yes—
769#123×C43C2314yes—
770#123×C43C2314yes—
771C22⋊Q8×C43C2314yes—
772C22⋊Q8×C43C2312yes—
773C22⋊Q8×C43C2312yes—
774C22⋊Q8×C43C2312yes—
775C22⋊Q8×C43C2312yes—
776C22⋊Q8×C43C2314yes—
777#121×C43C2312yes—
778#121×C43C2312yes—
779#120×C43C2314yes—
780C4×Q8×C43C2311yescharacteristic
781C4×Q8×C43C2311yescharacteristic
782C4×Q8×C43C2312yes—
783C4×Q8×C43C2312yes—
784C4×Q8×C43C2312yes—
785C4×Q8×C43C2312yes—
786C4×Q8×C43C2312yes—
787C4×Q8×C43C2312yes—
788C4×D4×C43C2312yes—
789C4×D4×C43C2314yes—
790C4×D4×C43C2314yes—
791C4×D4×C43C2312yes—
792C4×D4×C43C2312yes—
793C4×D4×C43C2312yes—
794C4×D4×C43C2312yes—
795C4×D4×C43C2311yescharacteristic
796C4×D4×C43C2311yescharacteristic
797C4×D4×C43C2312yes—
798#117×C43C2311yescharacteristic
799#117×C43C2312yes—
800#117×C43C2311yescharacteristic
801#117×C43C2314yes—
802#117×C43C2311yescharacteristic
803#117×C43C2314yes—
804#117×C43C2314yes—
805C2×C22⋊C4×C43C2314yes—
806C2×C22⋊C4×C43C2312yes—
807C2×C22⋊C4×C43C2312yes—
808C2×C42×C43C2311yescharacteristic
809C2×C42×C43C2312yes—
810C24×C43C2412yes—
811C23×D43C2411yescharacteristic
812#41×C43—24no—
813C2×Q8×C43—24no—
814C2×Q8×C43C2412yes—
815C2×Q8×C43C2412yes—
816C2×Q8×C43C2411yescharacteristic
817C2×Q8×C43C2412yes—
818C2×Q8×C43C2412yes—
819C2×D4×C43—24no—
820C2×D4×C43C2412yes—
821C2×D4×C43C2412yes—
822C2×D4×C43C2412yes—
823C2×D4×C43C2411yescharacteristic
824C2×D4×C43C2414yes—
825C2×D4×C43C2414yes—
826C22×C4×C43C2412yes—
827C22×C4×C43C2412yes—
828C22×C4×C43C2411yescharacteristic
829C22×C4×C43C2411yescharacteristic
830C22×C4×C43C2412yes—
831C22×C4×C43C2412yes—
832C22×C4×C43C2414yes—
833C22×C4×C43C2414yes—
834C22×C4×C43C2411yescharacteristic
835C2×C22⋊D43—44no—
836C2×C22⋊D43C2412yes—
837C2×C22⋊D43C2414yes—
838C2×C22⋊D43C2412yes—
839C2×C22⋊D43C2412yes—
840C2×C22⋊D43C2414yes—
841C2×C22⋊D43C2414yes—
842C2×C22⋊D43C2414yes—
843C2×C22⋊D43C2412yes—
844C2×C22⋊D43C2412yes—
845C22×Dic43—44no—
846C22×Dic43C2411yescharacteristic
847C22×Dic43C2411yescharacteristic
848C22×Dic43C2414yes—
849C22×Dic43C2411yescharacteristic
850C22×Dic43C2412yes—
851C22×Dic43C2412yes—
852C22×Dic43C2414yes—
853C22×Dic43C2414yes—
854C22×Dic43C2414yes—
855C22×Dic43C2414yes—
856C22×Dic43C2414yes—
857Q8×D43—44no—
858Q8×D43—44no—
859#10621900—48no—
860#10621900—48no—
861#10621898—24no—
862#10621898—44no—
863#10621898—44no—
864#10621898—48no—
865C2×D172C2411yescharacteristic
866C2×D172C2412yes—
867C2×D172C2412yes—
868C2×C4×D43—24no—
869C2×C4×D43—42no—
870C2×C4×D43—42no—
871C2×C4×D43C2411yescharacteristic
872C2×C4×D43C2411yescharacteristic
873C2×C4×D43C2411yescharacteristic
874C2×C4×D43C2411yescharacteristic
875C2×C4×D43C2411yescharacteristic
876C2×C4×D43C2411yescharacteristic
877C2×C4×D43C2411yescharacteristic
878C2×C4×D43C2411yescharacteristic
879C2×C4×D43C2412yes—
880C2×C4×D43C2412yes—
881C2×C4×D43C2412yes—
882C2×C4×D43C2411yescharacteristic
883C2×C4×D43C2411yescharacteristic
884C2×C4×D43C2411yescharacteristic
885C2×C4×D43C2411yescharacteristic
886C2×C4×D43C2412yes—
887C2×C4×D43C2412yes—
888C2×C4×D43C2412yes—
889C2×C4×D43C2412yes—
890C2×C4×D43C2414yes—
891C2×C4×D43C2414yes—
892C2×Dic86—48no—
893C2×Dic86C2412yes—
894C2×Dic86C2412yes—
895C2×Dic86C2411yescharacteristic
896C2×Dic86C2412yes—
897C2×Dic86C2414yes—
898C2×Dic86C2412yes—
899C2×Dic86C2412yes—
900C2×Dic86C2412yes—
901C2×Dic86C2414yes—
902C2×Dic86C2412yes—
903C2×Dic86C2414yes—
904C2×Dic86C2412yes—
905C2×Dic86C2414yes—
906C4⋊C4×C43C2412yes—
907C4⋊C4×C43C2412yes—
908C4⋊C4×C43C2411yescharacteristic
909C4⋊C4×C43C2411yescharacteristic
910C4⋊C4×C43C2411yescharacteristic
911C4⋊C4×C43C2411yescharacteristic
912C4⋊C4×C43C2412yes—
913C4⋊C4×C43C2412yes—
914C4⋊C4×C43C2411yescharacteristic
915C4⋊C4×C43C2411yescharacteristic
916C4⋊C4×C43C2414yes—
917C4⋊C4×C43C2414yes—
918C4⋊C4×C43C2414yes—
919C4⋊C4×C43C2414yes—
920C4⋊C4×C43C2412yes—
921C4⋊C4×C43C2412yes—
922C4⋊C4×C43C2412yes—
923C4⋊C4×C43C2412yes—
924C22⋊C4×C43C2412yes—
925C22⋊C4×C43C2412yes—
926C22⋊C4×C43C2414yes—
927C22⋊C4×C43C2414yes—
928C22⋊C4×C43C2414yes—
929C22⋊C4×C43C2414yes—
930C22⋊C4×C43C2414yes—
931C22⋊C4×C43C2414yes—
932C22⋊C4×C43C2412yes—
933C22⋊C4×C43C2412yes—
934C22⋊C4×C43C2412yes—
935C22⋊C4×C43C2414yes—
936C22⋊C4×C43C2414yes—
937C22⋊C4×C43C2414yes—
938C22⋊C4×C43C2414yes—
939C42×C43C2411yescharacteristic
940C42×C43C2412yes—
941C42×C43C2412yes—
942C42×C43C2412yes—
943C42×C43C2411yescharacteristic
944C42×C43C2411yescharacteristic
945C42×C43C2411yescharacteristic
946C42×C43C2414yes—
947C42×C43C2414yes—
948C42×C43C2412yes—
949C42×C43C2412yes—
950C22⋊Dic43C2412yes—
951C22⋊Dic43C2412yes—
952C22⋊Dic43C2412yes—
953C22⋊Dic43C2414yes—
954C22⋊Dic43C2414yes—
955C22⋊Dic43C2414yes—
956C22⋊Dic43C2414yes—
957C22⋊Dic43C2414yes—
958C22⋊Dic43C2414yes—
959C22⋊Dic43C2412yes—
960C22⋊Dic43C2412yes—
961C22⋊Dic43C2414yes—
962C22⋊Dic43C2414yes—
963C22⋊Dic43C2412yes—
964C22⋊Dic43C2412yes—
965C22⋊Dic43C2414yes—
966C22⋊Dic43C2414yes—
967(C2×D43)⋊C4C2412yes—
968(C2×D43)⋊C4C2412yes—
969(C2×D43)⋊C4C2412yes—
970(C2×D43)⋊C4C2412yes—
971(C2×D43)⋊C4C2414yes—
972(C2×D43)⋊C4C2414yes—
973(C2×D43)⋊C4C2412yes—
974(C2×D43)⋊C4C2412yes—
975(C2×D43)⋊C4C2412yes—
976(C2×D43)⋊C4C2412yes—
977(C2×D43)⋊C4C2414yes—
978(C2×D43)⋊C4C2412yes—
979(C2×D43)⋊C4C2412yes—
980(C2×D43)⋊C4C2412yes—
981(C2×D43)⋊C4C2412yes—
982(C2×D43)⋊C4C2412yes—
983(C2×D43)⋊C4C2412yes—
984(C2×D43)⋊C4C2414yes—
985(C2×D43)⋊C4C2414yes—
986(C2×D43)⋊C4C2414yes—
987C4⋊Dic43C2412yes—
988C4⋊Dic43C2411yescharacteristic
989C4⋊Dic43C2412yes—
990C4⋊Dic43C2412yes—
991C4⋊Dic43C2411yescharacteristic
992C4⋊Dic43C2414yes—
993C4⋊Dic43C2411yescharacteristic
994C4⋊Dic43C2411yescharacteristic
995C4⋊Dic43C2412yes—
996C4⋊Dic43C2414yes—
997C4⋊Dic43C2412yes—
998C4⋊Dic43C2412yes—
999C4⋊Dic43C2412yes—
1000C4⋊Dic43C2412yes—
1001C4⋊Dic43C2412yes—
1002C4⋊Dic43C2412yes—
1003C4⋊Dic43C2412yes—
1004C4⋊Dic43C2414yes—
1005C4⋊Dic43C2414yes—
1006C4⋊Dic43C2414yes—
1007C4⋊Dic43C2414yes—
1008C4⋊Dic43C2414yes—
1009C4⋊Dic43C2412yes—
1010C4⋊Dic43C2411yescharacteristic
1011C4⋊Dic43C2411yescharacteristic
1012C4⋊Dic43C2412yes—
1013C4⋊Dic43C2412yes—
1014C4⋊Dic43C2414yes—
1015C4⋊Dic43C2414yes—
1016C4⋊Dic43C2414yes—
1017Dic43⋊C4C2412yes—
1018Dic43⋊C4C2414yes—
1019Dic43⋊C4C2412yes—
1020Dic43⋊C4C2412yes—
1021Dic43⋊C4C2412yes—
1022Dic43⋊C4C2414yes—
1023Dic43⋊C4C2414yes—
1024Dic43⋊C4C2412yes—
1025Dic43⋊C4C2412yes—
1026Dic43⋊C4C2412yes—
1027Dic43⋊C4C2412yes—
1028Dic43⋊C4C2412yes—
1029Dic43⋊C4C2412yes—
1030Dic43⋊C4C2412yes—
1031Dic43⋊C4C2412yes—
1032Dic43⋊C4C2414yes—
1033Dic43⋊C4C2414yes—
1034Dic43⋊C4C2414yes—
1035Dic43⋊C4C2412yes—
1036Dic43⋊C4C2412yes—
1037Dic43⋊C4C2412yes—
1038Dic43⋊C4C2412yes—
1039Dic43⋊C4C2412yes—
1040Dic43⋊C4C2412yes—
1041Dic43⋊C4C2414yes—
1042Dic43⋊C4C2414yes—
1043Dic43⋊C4C2414yes—
1044Dic43⋊C4C2414yes—
1045Dic43⋊C4C2414yes—
1046Dic43⋊C4C2414yes—
1047Dic43⋊C4C2414yes—
1048Dic43⋊C4C2414yes—
1049Dic43⋊C4C2414yes—
1050Dic43⋊C4C2412yes—
1051Dic43⋊C4C2412yes—
1052Dic43⋊C4C2414yes—
1053Dic43⋊C4C2414yes—
1054Dic43⋊C4C2414yes—
1055Dic43⋊C4C2412yes—
1056Dic43⋊C4C2412yes—
1057Dic43⋊C4C2412yes—
1058Dic43⋊C4C2412yes—
1059Dic43⋊C4C2412yes—
1060Dic43⋊C4C2412yes—
1061C4×Dic43C2411yescharacteristic
1062C4×Dic43C2411yescharacteristic
1063C4×Dic43C2411yescharacteristic
1064C4×Dic43C2411yescharacteristic
1065C4×Dic43C2411yescharacteristic
1066C4×Dic43C2411yescharacteristic
1067C4×Dic43C2411yescharacteristic
1068C4×Dic43C2411yescharacteristic
1069C4×Dic43C2411yescharacteristic
1070C4×Dic43C2411yescharacteristic
1071C4×Dic43C2411yescharacteristic
1072C4×Dic43C2411yescharacteristic
1073C4×Dic43C2412yes—
1074C4×Dic43C2412yes—
1075C4×Dic43C2412yes—
1076C4×Dic43C2412yes—
1077C4×Dic43C2412yes—
1078C4×Dic43C2412yes—
1079C4×Dic43C2412yes—
1080C4×Dic43C2412yes—
1081C4×Dic43C2412yes—
1082C4×Dic43C2414yes—
1083C4×Dic43C2414yes—
1084C4×Dic43C2414yes—
1085C4×Dic43C2414yes—
1086C4×Dic43C2414yes—
1087C4×Dic43C2414yes—
1088C4×Dic43C2414yes—
1089C4×Dic43C2414yes—
1090C23×C43—24no—
1091C23×C43—42no—
1092C23×C43—42no—
1093C23×C43C2514yes—
1094C23×C43C2512yes—
1095C23×C43C2511yescharacteristic
1096C22×D43—22no—
1097C22×D43—22no—
1098C22×D43—41no—
1099C22×D43C2511yescharacteristic
1100C22×D43C2512yes—
1101C22×D43C2511yescharacteristic
1102Q8×C43—24no—
1103Q8×C43—24no—
1104Q8×C43—22no—
1105Q8×C43—42no—
1106Q8×C43—42no—
1107D4×C43—24no—
1108D4×C43—24no—
1109D4×C43—24no—
1110D4×C43—22no—
1111D4×C43—44no—
1112D4×C43—44no—
1113C2×C4×C43—24no—
1114C2×C4×C43—24no—
1115C2×C4×C43—44no—
1116C2×C4×C43—41no—
1117C2×C4×C43—41no—
1118C2×C4×C43—42no—
1119C2×C4×C43—44no—
1120C2×C4×C43—42no—
1121C2×C4×C432−1+414yes—
1122C2×C4×C43C2511yescharacteristic
1123C2×C4×C43C2511yescharacteristic
1124C2×C4×C43C2514yes—
1125C2×C4×C43C2512yes—
1126C2×C4×C43C2512yes—
1127C2×C4×C43C2512yes—
1128C2×C4×C43C2511yescharacteristic
1129C2×C4×C43C2511yescharacteristic
1130C2×C4×C43C2512yes—
1131C2×C4×C43C2512yes—
1132C2×C4×C43C2512yes—
1133C2×C4×C43C2512yes—
1134C2×C4×C43C2511yescharacteristic
1135C2×C4×C43C2511yescharacteristic
1136C22⋊D43—24no—
1137C22⋊D43—24no—
1138C22⋊D43—28no—
1139C22⋊D43—24no—
1140C22⋊D43—42no—
1141C22⋊D43—44no—
1142C22⋊D43—42no—
1143C22⋊D43—44no—
1144C22⋊D43—44no—
1145C2×Dic43—22no—
1146C2×Dic43—28no—
1147C2×Dic43—22no—
1148C2×Dic43—44no—
1149C2×Dic43—41no—
1150C2×Dic43—44no—
1151C2×Dic43—44no—
1152C2×Dic43—44no—
1153C2×Dic43—42no—
1154C2×Dic43—44no—
1155C2×Dic43—42no—
1156C2×Dic43C2511yescharacteristic
1157C2×Dic43C2511yescharacteristic
1158C2×Dic43C2512yes—
1159C2×Dic43C2512yes—
1160C2×Dic43C2511yescharacteristic
1161C2×Dic43C2512yes—
1162C2×Dic43C2514yes—
1163C2×Dic43C2511yescharacteristic
1164C2×Dic43C2512yes—
1165C2×Dic43C2512yes—
1166C2×Dic43C2512yes—
1167C2×Dic43C2511yescharacteristic
1168C2×Dic43C2512yes—
1169C2×Dic43C2514yes—
1170C2×Dic43C2511yescharacteristic
1171D172—24no—
1172D172—22no—
1173D172—42no—
1174C4×D43—22no—
1175C4×D43—22no—
1176C4×D43—24no—
1177C4×D43—24no—
1178C4×D43—22no—
1179C4×D43—22no—
1180C4×D43—22no—
1181C4×D43—22no—
1182C4×D43—24no—
1183C4×D43—22no—
1184C4×D43—22no—
1185C4×D43—41no—
1186C4×D43—41no—
1187C4×D43—41no—
1188C4×D43—41no—
1189C4×D43—42no—
1190C4×D43—42no—
1191C4×D43—44no—
1192C4×D43—44no—
1193C4×D43—42no—
1194C4×D43—42no—
1195Dic86—22no—
1196Dic86—24no—
1197Dic86—24no—
1198Dic86—24no—
1199Dic86—44no—
1200Dic86—44no—
1201Dic86—44no—
1202Dic86—42no—
1203Dic86—44no—
1204Dic86—42no—
1205Dic86—42no—
1206Dic86—42no—
1207Dic86—42no—
1208#62831—431nomaximal, Sylow
1209C22×C43—21no—
1210C22×C43—21no—
1211C22×C43—24no—
1212C22×C43—22no—
1213C22×C43—24no—
1214C22×C43—24no—
1215C22×C43—22no—
1216C22×C43—22no—
1217C22×C43—84no—
1218C22×C43C2×2−1+412yes—
1219C22×C43C2611yescharacteristic
1220C2×D43—21no—
1221C2×D43—21no—
1222C2×D43—21no—
1223C2×D43—22no—
1224C2×D43—21no—
1225C2×D43—21no—
1226C2×D43—22no—
1227C2×D43—22no—
1228C2×D43—44no—
1229C2×D43#58512yes—
1230C4×C43—22no—
1231C4×C43—24no—
1232C4×C43—22no—
1233C4×C43—22no—
1234C4×C43—22no—
1235C4×C43—22no—
1236C4×C43—22no—
1237C4×C43—21no—
1238C4×C43—21no—
1239C4×C43—22no—
1240C4×C43—21no—
1241C4×C43—21no—
1242C4×C43C2×2−1+412yes—
1243C4×C43C2×2−1+412yes—
1244Dic43—22no—
1245Dic43—21no—
1246Dic43—21no—
1247Dic43—22no—
1248Dic43—22no—
1249Dic43—22no—
1250Dic43—21no—
1251Dic43—22no—
1252Dic43—22no—
1253Dic43—21no—
1254Dic43—22no—
1255Dic43—24no—
1256Dic43—24no—
1257Dic43—21no—
1258Dic43#58512yes—
1259#3565—432no—
1260#3565—432no—
1261#3564—434no—
1262#3557—432no—
1263#3557—432no—
1264#3555—432no—
1265#3554—432no—
1266#3552—432no—
1267#3544—432no—
1268#3535—434no—
1269#3523—432no—
1270#3522—432no—
1271#3520—434no—
1272#3518—432no—
1273#3515—432no—
1274#3515—432no—
1275#3515—432no—
1276#3510—431no—
1277#3510D4311yescharacteristic, complemented
1278#3507—432no—
1279#3507—432no—
1280#3507—431no—
1281#3506—431no—
1282#3504—431no—
1283#3504—431no—
1284#3502—431no—
1285#3501—431no—
1286#3495—434no—
1287#3495—431no—
1288#3495—431no—
1289#3494—431no—
1290#3494—431no—
1291#3444—431no—
1292C2×#533—431no—
1293C2×#529—431no—
1294C2×C43—22no—
1295C2×C43—42no—
1296C2×C43—44no—
1297C2×C43C22×2−1+411yescharacteristic
1298C2×C43C2×#58511yescharacteristic
1299C2×C43C2×#58511yescharacteristic
1300D43—22no—
1301D43—42no—
1302D43—41no—
1303#563—434no—
1304#563—434no—
1305#563—434no—
1306#563—434no—
1307#563—434no—
1308#563—434no—
1309#562—434no—
1310#562—434no—
1311#559—432no—
1312#559—432no—
1313#559—432no—
1314#559—432no—
1315#559—432no—
1316#559C2×D4312yescomplemented
1317#559C2×D4312yescomplemented
1318Q82—432no—
1319Q82—432no—
1320#557—432no—
1321#557—432no—
1322#557—432no—
1323#557—432no—
1324#557—432no—
1325#557—432no—
1326#557—432no—
1327#557—432no—
1328#557—432no—
1329#557—432no—
1330#557—432no—
1331#556—432no—
1332#556—434no—
1333#556—434no—
1334#556—434no—
1335#556—434no—
1336#556—432no—
1337#556—432no—
1338#556—432no—
1339#556—432no—
1340#556—432no—
1341#556—432no—
1342#556—432no—
1343#556—434no—
1344#556C2×D4312yescomplemented
1345#556C2×D4312yescomplemented
1346#555—432no—
1347#555—432no—
1348#555—432no—
1349#554—434no—
1350#554—434no—
1351#554—432no—
1352#554—432no—
1353#554—432no—
1354#554—432no—
1355#554—432no—
1356#554—432no—
1357#554—432no—
1358#554—434no—
1359#554—434no—
1360#554—432no—
1361#554—432no—
1362#554—432no—
1363#554—432no—
1364#554—432no—
1365#554—432no—
1366#553—432no—
1367#553—432no—
1368#553—432no—
1369#553—432no—
1370#553—432no—
1371#553—432no—
1372#552—434no—
1373#552—434no—
1374#552—434no—
1375#552—434no—
1376#552—434no—
1377#552—434no—
1378#552—434no—
1379#552—432no—
1380#552—432no—
1381#552—434no—
1382#552—432no—
1383#552—432no—
1384#552—432no—
1385#552—432no—
1386#552—434no—
1387#552—434no—
1388#552—434no—
1389#552—434no—
1390#552—434no—
1391#552—434no—
1392#551—434no—
1393#551—434no—
1394#551—434no—
1395#551—434no—
1396#551—434no—
1397#551—434no—
1398#551C2×D4314yes—
1399#551C2×D4314yes—
1400#550—432no—
1401D4×Q8—434no—
1402D4×Q8—432no—
1403D4×Q8—432no—
1404#548—434no—
1405#548—434no—
1406#547—434no—
1407#547—434no—
1408#547—434no—
1409#547—432no—
1410#547—432no—
1411#547—432no—
1412#547—434no—
1413#546—434no—
1414#546—434no—
1415#544—432no—
1416#544—432no—
1417#544—434no—
1418#544—431no—
1419#544—431no—
1420#544—431no—
1421#544—431no—
1422#544—434no—
1423#544—432no—
1424#544—432no—
1425#543—434no—
1426#542—434no—
1427#542—432no—
1428#542—434no—
1429#542—432no—
1430#542—432no—
1431#542—432no—
1432#542—434no—
1433#542—434no—
1434#542—434no—
1435#542—434no—
1436#542—434no—
1437#542—432no—
1438#542—432no—
1439#542—434no—
1440#542C2×D4312yescomplemented
1441#542C2×D4312yescomplemented
1442#541—432no—
1443#541—434no—
1444#541—434no—
1445#541—434no—
1446#541—434no—
1447#541—434no—
1448#541—432no—
1449#541—434no—
1450#540—432no—
1451#540—432no—
1452#539—434no—
1453#539—434no—
1454#539—434no—
1455#539—434no—
1456#539—434no—
1457#539—434no—
1458#539—434no—
1459#539—434no—
1460#539—434no—
1461#539—434no—
1462#539—434no—
1463#538—434no—
1464#536—431no—
1465#536—434no—
1466#536—434no—
1467#536—434no—
1468#536C2×D4311yescharacteristic
1469#535—431no—
1470#535C2×D4311yescharacteristic
1471#533—431no—
1472#533—431no—
1473#533—432no—
1474#533—431no—
1475#533—431no—
1476#533—432no—
1477#533—432no—
1478#533—432no—
1479#533—432no—
1480#533—432no—
1481#533—431no—
1482#533—431no—
1483#533—432no—
1484#533—431no—
1485#533—431no—
1486#533—431no—
1487#533—434no—
1488#533—431no—
1489#533—432no—
1490#533C2×D4311yescharacteristic
1491#532—431no—
1492#532—432no—
1493#532—431no—
1494#532—431no—
1495#532—432no—
1496C2×C4⋊Q8—431no—
1497C2×C4⋊Q8—431no—
1498#529—432no—
1499#529—432no—
1500#529—432no—
1501#529—432no—
1502#529—432no—
1503#529—432no—
1504#529—432no—
1505#529—432no—
1506#529—432no—
1507#529—432no—
1508#529—432no—
1509#529—432no—
1510#529—434no—
1511#529—431no—
1512#529—431no—
1513#529—432no—
1514#529—432no—
1515#529—432no—
1516#529—431no—
1517#529—431no—
1518#529—432no—
1519#529—432no—
1520#529—432no—
1521#529C2×D4312yescomplemented
1522#529C2×D4312yescomplemented
1523C2×#126—432no—
1524C2×#125—431no—
1525C2×#125—431no—
1526C2×#125—432no—
1527C2×#125—431no—
1528C2×#125—432no—
1529C2×#124C2×D4311yescharacteristic
1530#525—431no—
1531#525—434no—
1532#525—432no—
1533#525—432no—
1534#525—431no—
1535C2×#123—432no—
1536C2×C22⋊Q8—431no—
1537C2×C22⋊Q8—432no—
1538C2×C22⋊Q8—432no—
1539C2×C22⋊Q8—434no—
1540C2×#121—431no—
1541#520—431no—
1542#520—431no—
1543#520—434no—
1544#520—434no—
1545#520—431no—
1546#520—431no—
1547#520—434no—
1548#519—431no—
1549#519—434no—
1550#519C2×D4311yescharacteristic
1551#518—431no—
1552#518C2×D4311yescharacteristic
1553C4×#41—431no—
1554C4×#41—432no—
1555C4×#41—432no—
1556C4×#41C2×D4311yescharacteristic
1557C2×C4×Q8—431no—
1558C2×C4×Q8—432no—
1559C2×C4×Q8—432no—
1560C2×C4×D4—431no—
1561C2×C4×D4—432no—
1562C2×#117—431no—
1563C2×#117—431no—
1564C2×#117—432no—
1565C22×C42—431no—
1566C43#6283111yescharacteristic, complemented, Sylow
1567C2×#41—434no—
1568C2×#41—434no—
1569C2×#41—431no—
1570C2×#41—432no—
1571C2×#41—432no—
1572C2×#41—434no—
1573C2×#41C22×D4311yescharacteristic
1574C22×Q8—432no—
1575C22×Q8—432no—
1576C22×Q8—434no—
1577C22×Q8C22×D4311yescharacteristic
1578C22×D4—432no—
1579C22×D4C22×D4311yescharacteristic
1580C23×C4—432no—
1581C23×C4—431no—
1582C23×C4—431no—
1583C23×C4—431no—
1584C4⋊Q8—432no—
1585C4⋊Q8—432no—
1586C4⋊Q8—431no—
1587C4⋊Q8—432no—
1588C4⋊Q8—434no—
1589C4⋊Q8—434no—
1590C4⋊Q8—432no—
1591C4⋊Q8—431no—
1592C4⋊Q8—431no—
1593C4⋊Q8—431no—
1594C4⋊Q8—431no—
1595C4⋊Q8—432no—
1596C4⋊Q8—431no—
1597C4⋊Q8—431no—
1598C4⋊Q8—432no—
1599C4⋊Q8—434no—
1600C4⋊Q8—434no—
1601C4⋊Q8—432no—
1602C4⋊Q8—432no—
1603C4⋊Q8—432no—
1604C4⋊Q8—434no—
1605C4⋊Q8—434no—
1606C4⋊Q8—434no—
1607C4⋊Q8—434no—
1608C4⋊Q8—431no—
1609C4⋊Q8—431no—
1610C4⋊Q8—432no—
1611C4⋊Q8—432no—
1612C4⋊Q8—432no—
1613C4⋊Q8—432no—
1614C4⋊Q8—434no—
1615C4⋊Q8—434no—
1616C4⋊Q8C22×D4311yescharacteristic
1617C4⋊Q8C22×D4311yescharacteristic
1618C4⋊Q8C22×D4312yes—
1619#127—431no—
1620#127—432no—
1621#127C22×D4312yes—
1622#126—432no—
1623#126—432no—
1624#126—434no—
1625#126—434no—
1626#126—434no—
1627#126—434no—
1628#126—434no—
1629#126—434no—
1630#126—434no—
1631#126—434no—
1632#126—434no—
1633#126—434no—
1634#126—432no—
1635#126—432no—
1636#126—434no—
1637#126—434no—
1638#126—434no—
1639#126—434no—
1640#126—434no—
1641#126—434no—
1642#126—434no—
1643#126—434no—
1644#126—434no—
1645#126—434no—
1646#126—434no—
1647#126—434no—
1648#126—434no—
1649#126—434no—
1650#126—434no—
1651#126—434no—
1652#126C22×D4314yes—
1653#126C22×D4314yes—
1654#126C22×D4314yes—
1655#126C22×D4314yes—
1656#125—432no—
1657#125—432no—
1658#125—432no—
1659#125—432no—
1660#125—431no—
1661#125—431no—
1662#125—431no—
1663#125—431no—
1664#125—434no—
1665#125—434no—
1666#125—432no—
1667#125—432no—
1668#125—432no—
1669#125—432no—
1670#125—431no—
1671#125—431no—
1672#125—432no—
1673#125—434no—
1674#125—432no—
1675#125—434no—
1676#125—434no—
1677#125—434no—
1678#125—434no—
1679#125—434no—
1680#125—434no—
1681#125—434no—
1682#125—434no—
1683#125—434no—
1684#125—434no—
1685#125—434no—
1686#125—434no—
1687#125—434no—
1688#125—434no—
1689#125—434no—
1690#125—431no—
1691#125—432no—
1692#125—431no—
1693#125—432no—
1694#125—432no—
1695#125—432no—
1696#125—434no—
1697#125—434no—
1698#125—432no—
1699#125—432no—
1700#125—432no—
1701#125—432no—
1702#125—434no—
1703#125—434no—
1704#125—434no—
1705#125C22×D4311yescharacteristic
1706#125C22×D4311yescharacteristic
1707#124—431no—
1708#124—432no—
1709#124—431no—
1710#124—432no—
1711#124—434no—
1712#124—434no—
1713#124—432no—
1714#124—432no—
1715#124—434no—
1716#124—434no—
1717#124—434no—
1718#124—434no—
1719#124—434no—
1720#124—434no—
1721#124—434no—
1722#124—434no—
1723#124—434no—
1724#124C22×D4312yes—
1725#124C22×D4312yes—
1726#124C22×D4312yes—
1727#124C22×D4312yes—
1728#124C22×D4312yes—
1729#124C22×D4312yes—
1730#124C22×D4314yes—
1731#124C22×D4314yes—
1732#123—432no—
1733#123—434no—
1734#123—434no—
1735#123—434no—
1736#123—434no—
1737#123—434no—
1738#123—434no—
1739#123—434no—
1740#123—432no—
1741#123—432no—
1742#123—434no—
1743#123—434no—
1744#123—434no—
1745#123—434no—
1746#123—434no—
1747#123—434no—
1748#123—432no—
1749#123—432no—
1750#123—432no—
1751#123—434no—
1752#123—434no—
1753#123—434no—
1754#123—434no—
1755#123—434no—
1756#123—434no—
1757#123—434no—
1758#123—434no—
1759#123—434no—
1760#123—434no—
1761#123—434no—
1762#123—434no—
1763#123—434no—
1764#123—434no—
1765#123C22×D4314yes—
1766#123C22×D4314yes—
1767#123C22×D4314yes—
1768#123C22×D4314yes—
1769#123C22×D4314yes—
1770C22⋊Q8—432no—
1771C22⋊Q8—432no—
1772C22⋊Q8—432no—
1773C22⋊Q8—432no—
1774C22⋊Q8—432no—
1775C22⋊Q8—432no—
1776C22⋊Q8—431no—
1777C22⋊Q8—431no—
1778C22⋊Q8—432no—
1779C22⋊Q8—432no—
1780C22⋊Q8—434no—
1781C22⋊Q8—434no—
1782C22⋊Q8—432no—
1783C22⋊Q8—432no—
1784C22⋊Q8—434no—
1785C22⋊Q8—434no—
1786C22⋊Q8—434no—
1787C22⋊Q8—434no—
1788C22⋊Q8—434no—
1789C22⋊Q8—434no—
1790C22⋊Q8—434no—
1791C22⋊Q8—432no—
1792C22⋊Q8—432no—
1793C22⋊Q8—432no—
1794C22⋊Q8—432no—
1795C22⋊Q8—432no—
1796C22⋊Q8—432no—
1797C22⋊Q8—431no—
1798C22⋊Q8—431no—
1799C22⋊Q8—432no—
1800C22⋊Q8—432no—
1801C22⋊Q8—434no—
1802C22⋊Q8—434no—
1803C22⋊Q8—434no—
1804C22⋊Q8—434no—
1805C22⋊Q8—434no—
1806C22⋊Q8—434no—
1807C22⋊Q8—434no—
1808C22⋊Q8—434no—
1809C22⋊Q8—432no—
1810C22⋊Q8—432no—
1811C22⋊Q8—432no—
1812C22⋊Q8—432no—
1813C22⋊Q8—432no—
1814C22⋊Q8—434no—
1815C22⋊Q8—434no—
1816C22⋊Q8—434no—
1817C22⋊Q8—434no—
1818C22⋊Q8—434no—
1819C22⋊Q8—434no—
1820C22⋊Q8—432no—
1821C22⋊Q8—434no—
1822C22⋊Q8—434no—
1823C22⋊Q8—434no—
1824C22⋊Q8—434no—
1825C22⋊Q8—434no—
1826C22⋊Q8—434no—
1827C22⋊Q8—434no—
1828C22⋊Q8—434no—
1829C22⋊Q8—434no—
1830C22⋊Q8—434no—
1831C22⋊Q8—434no—
1832C22⋊Q8—434no—
1833C22⋊Q8—434no—
1834C22⋊Q8—434no—
1835C22⋊Q8—434no—
1836C22⋊Q8—434no—
1837C22⋊Q8C22×D4312yes—
1838C22⋊Q8C22×D4312yes—
1839C22⋊Q8C22×D4312yes—
1840C22⋊Q8C22×D4312yes—
1841C22⋊Q8C22×D4314yes—
1842C22⋊Q8C22×D4314yes—
1843#121—432no—
1844#121—432no—
1845#121—432no—
1846#121—432no—
1847#121—432no—
1848#121—431no—
1849#121—432no—
1850#121—431no—
1851#121—434no—
1852#121—432no—
1853#121—432no—
1854#121—434no—
1855#121—434no—
1856#121—434no—
1857#121—434no—
1858#121—434no—
1859#121—434no—
1860#121—431no—
1861#121—431no—
1862#121—432no—
1863#121—432no—
1864#121—434no—
1865#121—434no—
1866#121C22×D4312yes—
1867#121C22×D4312yes—
1868#120—434no—
1869#120—432no—
1870#120—432no—
1871#120C22×D4314yes—
1872C4×Q8—432no—
1873C4×Q8—432no—
1874C4×Q8—432no—
1875C4×Q8—432no—
1876C4×Q8—432no—
1877C4×Q8—432no—
1878C4×Q8—432no—
1879C4×Q8—432no—
1880C4×Q8—432no—
1881C4×Q8—432no—
1882C4×Q8—432no—
1883C4×Q8—432no—
1884C4×Q8—432no—
1885C4×Q8—432no—
1886C4×Q8—432no—
1887C4×Q8—432no—
1888C4×Q8—432no—
1889C4×Q8—432no—
1890C4×Q8—434no—
1891C4×Q8—434no—
1892C4×Q8—434no—
1893C4×Q8—434no—
1894C4×Q8—432no—
1895C4×Q8—432no—
1896C4×Q8—432no—
1897C4×Q8—432no—
1898C4×Q8—432no—
1899C4×Q8—432no—
1900C4×Q8—432no—
1901C4×Q8—432no—
1902C4×Q8—432no—
1903C4×Q8—432no—
1904C4×Q8—431no—
1905C4×Q8—431no—
1906C4×Q8—434no—
1907C4×Q8—434no—
1908C4×Q8—434no—
1909C4×Q8—432no—
1910C4×Q8—434no—
1911C4×Q8—434no—
1912C4×Q8—432no—
1913C4×Q8—434no—
1914C4×Q8—434no—
1915C4×Q8C22×D4312yes—
1916C4×Q8C22×D4312yes—
1917C4×Q8C22×D4311yescharacteristic
1918C4×Q8C22×D4311yescharacteristic
1919C4×Q8C22×D4312yes—
1920C4×Q8C22×D4312yes—
1921C4×Q8C22×D4312yes—
1922C4×Q8C22×D4312yes—
1923C4×D4—432no—
1924C4×D4—432no—
1925C4×D4—432no—
1926C4×D4—432no—
1927C4×D4—432no—
1928C4×D4—432no—
1929C4×D4—432no—
1930C4×D4—432no—
1931C4×D4—434no—
1932C4×D4—434no—
1933C4×D4—434no—
1934C4×D4—432no—
1935C4×D4—432no—
1936C4×D4—434no—
1937C4×D4—432no—
1938C4×D4—432no—
1939C4×D4—432no—
1940C4×D4—432no—
1941C4×D4—432no—
1942C4×D4—432no—
1943C4×D4—432no—
1944C4×D4—432no—
1945C4×D4—432no—
1946C4×D4—432no—
1947C4×D4—434no—
1948C4×D4—434no—
1949C4×D4—434no—
1950C4×D4—434no—
1951C4×D4—434no—
1952C4×D4—434no—
1953C4×D4—434no—
1954C4×D4—434no—
1955C4×D4—434no—
1956C4×D4—434no—
1957C4×D4—434no—
1958C4×D4—434no—
1959C4×D4—434no—
1960C4×D4—434no—
1961C4×D4—432no—
1962C4×D4—432no—
1963C4×D4—432no—
1964C4×D4—432no—
1965C4×D4—431no—
1966C4×D4—431no—
1967C4×D4—434no—
1968C4×D4—432no—
1969C4×D4—432no—
1970C4×D4C22×D4312yes—
1971C4×D4C22×D4312yes—
1972C4×D4C22×D4311yescharacteristic
1973C4×D4C22×D4311yescharacteristic
1974C4×D4C22×D4312yes—
1975C4×D4C22×D4312yes—
1976C4×D4C22×D4312yes—
1977C4×D4C22×D4312yes—
1978C4×D4C22×D4314yes—
1979C4×D4C22×D4314yes—
1980#117—431no—
1981#117—431no—
1982#117—431no—
1983#117—432no—
1984#117—432no—
1985#117—434no—
1986#117—434no—
1987#117—432no—
1988#117—432no—
1989#117—431no—
1990#117—431no—
1991#117—431no—
1992#117—431no—
1993#117—434no—
1994#117—434no—
1995#117—432no—
1996#117—432no—
1997#117—434no—
1998#117—434no—
1999#117—434no—
2000#117—434no—
2001#117—432no—
2002#117—432no—
2003#117—434no—
2004#117—434no—
2005#117—434no—
2006#117—434no—
2007#117—434no—
2008#117—434no—
2009#117—432no—
2010#117—432no—
2011#117—432no—
2012#117—432no—
2013#117—432no—
2014#117—432no—
2015#117—432no—
2016#117—434no—
2017#117—434no—
2018#117C22×D4311yescharacteristic
2019#117C22×D4311yescharacteristic
2020#117C22×D4311yescharacteristic
2021#117C22×D4312yes—
2022#117C22×D4314yes—
2023#117C22×D4314yes—
2024#117C22×D4314yes—
2025C2×C4⋊C4—432no—
2026C2×C4⋊C4—432no—
2027C2×C4⋊C4—431no—
2028C2×C4⋊C4—432no—
2029C2×C4⋊C4—431no—
2030C2×C4⋊C4—432no—
2031C2×C4⋊C4—434no—
2032C2×C4⋊C4—434no—
2033C2×C4⋊C4—434no—
2034C2×C4⋊C4—434no—
2035C2×C4⋊C4—434no—
2036C2×C4⋊C4—432no—
2037C2×C4⋊C4—432no—
2038C2×C4⋊C4—431no—
2039C2×C4⋊C4—431no—
2040C2×C4⋊C4—431no—
2041C2×C4⋊C4—431no—
2042C2×C4⋊C4—432no—
2043C2×C4⋊C4—432no—
2044C2×C4⋊C4—432no—
2045C2×C4⋊C4—432no—
2046C2×C4⋊C4—432no—
2047C2×C4⋊C4—432no—
2048C2×C4⋊C4—434no—
2049C2×C4⋊C4—434no—
2050C2×C4⋊C4—432no—
2051C2×C4⋊C4—432no—
2052C2×C22⋊C4—432no—
2053C2×C22⋊C4—432no—
2054C2×C22⋊C4—434no—
2055C2×C22⋊C4—432no—
2056C2×C22⋊C4—432no—
2057C2×C22⋊C4—432no—
2058C2×C22⋊C4C22×D4312yes—
2059C2×C22⋊C4C22×D4312yes—
2060C2×C22⋊C4C22×D4314yes—
2061C2×C42—431no—
2062C2×C42—432no—
2063C2×C42—431no—
2064C2×C42—431no—
2065C2×C42—432no—
2066C2×C42—432no—
2067C2×C42—431no—
2068C2×C42—431no—
2069C2×C42—432no—
2070C2×C42—431no—
2071C2×C42—431no—
2072C2×C42—431no—
2073C2×C42—431no—
2074C2×C42—431no—
2075C2×C42—431no—
2076C2×C42C22×D4312yes—
2077C2×C42C22×D4311yescharacteristic
2078C24—431no—
2079C24C23×D4312yes—
2080#41—24no—
2081#41—864no—
2082#41—1724no—
2083#41—1728no—
2084#41—1724no—
2085#41—1728no—
2086#41—1728no—
2087C2×Q8—24no—
2088C2×Q8—431no—
2089C2×Q8—432no—
2090C2×Q8—432no—
2091C2×Q8—432no—
2092C2×Q8—432no—
2093C2×Q8—434no—
2094C2×Q8—434no—
2095C2×Q8—432no—
2096C2×Q8—432no—
2097C2×Q8—432no—
2098C2×Q8—434no—
2099C2×Q8—434no—
2100C2×Q8—432no—
2101C2×Q8—1728no—
2102C2×Q8—1724no—
2103C2×Q8—1724no—
2104C2×Q8C23×D4312yes—
2105C2×Q8C23×D4312yes—
2106C2×Q8C23×D4311yescharacteristic
2107C2×Q8C23×D4312yes—
2108C2×Q8C23×D4312yes—
2109C2×D4—24no—
2110C2×D4—432no—
2111C2×D4—432no—
2112C2×D4—434no—
2113C2×D4—432no—
2114C2×D4—432no—
2115C2×D4—434no—
2116C2×D4—434no—
2117C2×D4—434no—
2118C2×D4—432no—
2119C2×D4—431no—
2120C2×D4—432no—
2121C2×D4—432no—
2122C2×D4—1724no—
2123C2×D4C23×D4312yes—
2124C2×D4C23×D4312yes—
2125C2×D4C23×D4312yes—
2126C2×D4C23×D4311yescharacteristic
2127C2×D4C23×D4314yes—
2128C2×D4C23×D4314yes—
2129C22×C4—431no—
2130C22×C4—431no—
2131C22×C4—434no—
2132C22×C4—431no—
2133C22×C4—432no—
2134C22×C4—432no—
2135C22×C4—434no—
2136C22×C4—434no—
2137C22×C4—434no—
2138C22×C4—434no—
2139C22×C4—434no—
2140C22×C4—431no—
2141C22×C4—431no—
2142C22×C4—431no—
2143C22×C4—431no—
2144C22×C4—431no—
2145C22×C4—431no—
2146C22×C4—431no—
2147C22×C4—431no—
2148C22×C4—432no—
2149C22×C4—432no—
2150C22×C4—432no—
2151C22×C4—431no—
2152C22×C4—431no—
2153C22×C4—431no—
2154C22×C4—431no—
2155C22×C4—432no—
2156C22×C4—432no—
2157C22×C4—432no—
2158C22×C4—432no—
2159C22×C4—434no—
2160C22×C4—434no—
2161C22×C4—864no—
2162C22×C4—1722no—
2163C22×C4—1722no—
2164C22×C4—1724no—
2165C22×C4C23×D4312yes—
2166C22×C4C23×D4312yes—
2167C22×C4C23×D4311yescharacteristic
2168C22×C4C23×D4311yescharacteristic
2169C22×C4C23×D4312yes—
2170C22×C4C23×D4312yes—
2171C22×C4C23×D4314yes—
2172C22×C4C23×D4314yes—
2173C22×C4C23×D4311yescharacteristic
2174C4⋊C4—432no—
2175C4⋊C4—431no—
2176C4⋊C4—432no—
2177C4⋊C4—431no—
2178C4⋊C4—432no—
2179C4⋊C4—432no—
2180C4⋊C4—434no—
2181C4⋊C4—432no—
2182C4⋊C4—432no—
2183C4⋊C4—434no—
2184C4⋊C4—432no—
2185C4⋊C4—432no—
2186C4⋊C4—432no—
2187C4⋊C4—432no—
2188C4⋊C4—434no—
2189C4⋊C4—434no—
2190C4⋊C4—434no—
2191C4⋊C4—434no—
2192C4⋊C4—431no—
2193C4⋊C4—431no—
2194C4⋊C4—434no—
2195C4⋊C4—432no—
2196C4⋊C4—432no—
2197C4⋊C4—434no—
2198C4⋊C4—434no—
2199C4⋊C4—432no—
2200C4⋊C4—432no—
2201C4⋊C4—432no—
2202C4⋊C4—432no—
2203C4⋊C4—432no—
2204C4⋊C4—432no—
2205C4⋊C4—432no—
2206C4⋊C4—432no—
2207C4⋊C4—432no—
2208C4⋊C4—434no—
2209C4⋊C4—434no—
2210C4⋊C4—434no—
2211C4⋊C4—434no—
2212C4⋊C4—434no—
2213C4⋊C4—434no—
2214C4⋊C4—434no—
2215C4⋊C4—434no—
2216C4⋊C4—434no—
2217C4⋊C4—434no—
2218C4⋊C4—434no—
2219C4⋊C4—432no—
2220C4⋊C4—432no—
2221C4⋊C4—432no—
2222C4⋊C4—432no—
2223C4⋊C4—432no—
2224C4⋊C4—432no—
2225C4⋊C4—432no—
2226C4⋊C4—432no—
2227C4⋊C4—434no—
2228C4⋊C4—434no—
2229C4⋊C4—432no—
2230C4⋊C4—432no—
2231C4⋊C4—432no—
2232C4⋊C4—434no—
2233C4⋊C4—431no—
2234C4⋊C4—431no—
2235C4⋊C4—432no—
2236C4⋊C4—432no—
2237C4⋊C4—432no—
2238C4⋊C4—432no—
2239C4⋊C4—432no—
2240C4⋊C4—432no—
2241C4⋊C4—432no—
2242C4⋊C4—432no—
2243C4⋊C4—434no—
2244C4⋊C4—434no—
2245C4⋊C4—434no—
2246C4⋊C4—434no—
2247C4⋊C4—434no—
2248C4⋊C4C23×D4311yescharacteristic
2249C4⋊C4C23×D4311yescharacteristic
2250C4⋊C4C23×D4312yes—
2251C4⋊C4C23×D4312yes—
2252C4⋊C4C23×D4311yescharacteristic
2253C4⋊C4C23×D4311yescharacteristic
2254C4⋊C4C23×D4312yes—
2255C4⋊C4C23×D4312yes—
2256C4⋊C4C23×D4312yes—
2257C4⋊C4C23×D4312yes—
2258C4⋊C4C23×D4314yes—
2259C4⋊C4C23×D4311yescharacteristic
2260C4⋊C4C23×D4311yescharacteristic
2261C4⋊C4C23×D4312yes—
2262C4⋊C4C23×D4312yes—
2263C4⋊C4C23×D4314yes—
2264C4⋊C4C23×D4314yes—
2265C4⋊C4C23×D4314yes—
2266C22⋊C4—432no—
2267C22⋊C4—432no—
2268C22⋊C4—432no—
2269C22⋊C4—434no—
2270C22⋊C4—434no—
2271C22⋊C4—434no—
2272C22⋊C4—434no—
2273C22⋊C4—434no—
2274C22⋊C4—434no—
2275C22⋊C4—432no—
2276C22⋊C4—432no—
2277C22⋊C4—434no—
2278C22⋊C4—434no—
2279C22⋊C4—434no—
2280C22⋊C4—434no—
2281C22⋊C4—432no—
2282C22⋊C4—432no—
2283C22⋊C4—434no—
2284C22⋊C4—432no—
2285C22⋊C4—432no—
2286C22⋊C4—432no—
2287C22⋊C4—432no—
2288C22⋊C4—434no—
2289C22⋊C4—432no—
2290C22⋊C4—432no—
2291C22⋊C4—432no—
2292C22⋊C4—432no—
2293C22⋊C4—432no—
2294C22⋊C4—432no—
2295C22⋊C4—434no—
2296C22⋊C4—434no—
2297C22⋊C4—432no—
2298C22⋊C4—432no—
2299C22⋊C4—432no—
2300C22⋊C4—432no—
2301C22⋊C4—434no—
2302C22⋊C4—434no—
2303C22⋊C4C23×D4312yes—
2304C22⋊C4C23×D4312yes—
2305C22⋊C4C23×D4312yes—
2306C22⋊C4C23×D4314yes—
2307C22⋊C4C23×D4314yes—
2308C22⋊C4C23×D4314yes—
2309C22⋊C4C23×D4314yes—
2310C22⋊C4C23×D4314yes—
2311C22⋊C4C23×D4314yes—
2312C22⋊C4C23×D4314yes—
2313C22⋊C4C23×D4314yes—
2314C22⋊C4C23×D4314yes—
2315C22⋊C4C23×D4314yes—
2316C22⋊C4C23×D4312yes—
2317C22⋊C4C23×D4312yes—
2318C42—431no—
2319C42—431no—
2320C42—431no—
2321C42—431no—
2322C42—431no—
2323C42—431no—
2324C42—431no—
2325C42—431no—
2326C42—431no—
2327C42—431no—
2328C42—431no—
2329C42—431no—
2330C42—432no—
2331C42—432no—
2332C42—434no—
2333C42—432no—
2334C42—432no—
2335C42—432no—
2336C42—432no—
2337C42—432no—
2338C42—434no—
2339C42—432no—
2340C42—432no—
2341C42—434no—
2342C42—434no—
2343C42—434no—
2344C42—434no—
2345C42—434no—
2346C42—434no—
2347C42C23×D4311yescharacteristic
2348C42C23×D4311yescharacteristic
2349C42C23×D4311yescharacteristic
2350C42C23×D4311yescharacteristic
2351C42C23×D4312yes—
2352C42C23×D4312yes—
2353C42C23×D4312yes—
2354C42C23×D4312yes—
2355C42C23×D4312yes—
2356C42C23×D4314yes—
2357C42C23×D4314yes—
2358C23—24no—
2359C23—42no—
2360C23—42no—
2361C23—431no—
2362C23—431no—
2363C23—432no—
2364C23—862no—
2365C23—862no—
2366C23—1721no—
2367C23C24×D4314yes—
2368C23C24×D4312yes—
2369C23C24×D4311yescharacteristic
2370Q8—24no—
2371Q8—24no—
2372Q8—22no—
2373Q8—42no—
2374Q8—42no—
2375Q8—864no—
2376Q8—864no—
2377Q8—864no—
2378Q8—862no—
2379Q8—1724no—
2380Q8—1722no—
2381Q8—1724no—
2382Q8—1722no—
2383Q8—1722no—
2384Q8—1722no—
2385Q8—1722no—
2386Q8—1724no—
2387Q8—1724no—
2388D4—24no—
2389D4—24no—
2390D4—24no—
2391D4—22no—
2392D4—44no—
2393D4—44no—
2394D4—864no—
2395D4—864no—
2396D4—868no—
2397D4—864no—
2398D4—864no—
2399D4—862no—
2400D4—1722no—
2401D4—1724no—
2402D4—1722no—
2403D4—1724no—
2404D4—1724no—
2405D4—1722no—
2406C2×C4—24no—
2407C2×C4—24no—
2408C2×C4—41no—
2409C2×C4—41no—
2410C2×C4—44no—
2411C2×C4—42no—
2412C2×C4—42no—
2413C2×C4—44no—
2414C2×C4—431no—
2415C2×C4—431no—
2416C2×C4—431no—
2417C2×C4—432no—
2418C2×C4—432no—
2419C2×C4—431no—
2420C2×C4—431no—
2421C2×C4—432no—
2422C2×C4—432no—
2423C2×C4—432no—
2424C2×C4—431no—
2425C2×C4—434no—
2426C2×C4—432no—
2427C2×C4—432no—
2428C2×C4—434no—
2429C2×C4—862no—
2430C2×C4—862no—
2431C2×C4—862no—
2432C2×C4—862no—
2433C2×C4—864no—
2434C2×C4—864no—
2435C2×C4—862no—
2436C2×C4—868no—
2437C2×C4—862no—
2438C2×C4—862no—
2439C2×C4—862no—
2440C2×C4—862no—
2441C2×C4—862no—
2442C2×C4—864no—
2443C2×C4—1721no—
2444C2×C4—1721no—
2445C2×C4—1721no—
2446C2×C4—1721no—
2447C2×C4—1722no—
2448C2×C4—1722no—
2449C2×C4—1722no—
2450C2×C4—1722no—
2451C2×C4—1724no—
2452C2×C4—1724no—
2453C2×C4—1724no—
2454C2×C4—1722no—
2455C2×C4—1721no—
2456C2×C4—1722no—
2457C2×C4—1724no—
2458C2×C4—1724no—
2459C2×C4—1724no—
2460C2×C4—1724no—
2461C2×C4#1306337214yes—
2462C2×C4C24×D4311yescharacteristic
2463C2×C4C24×D4311yescharacteristic
2464C2×C4C24×D4314yes—
2465C2×C4C24×D4312yes—
2466C2×C4C24×D4312yes—
2467C2×C4C24×D4312yes—
2468C2×C4C24×D4311yescharacteristic
2469C2×C4C24×D4311yescharacteristic
2470C2×C4C24×D4312yes—
2471C2×C4C24×D4312yes—
2472C2×C4C24×D4312yes—
2473C2×C4C24×D4312yes—
2474C2×C4C24×D4311yescharacteristic
2475C2×C4C24×D4311yescharacteristic
2476C22—21no—
2477C22—21no—
2478C22—22no—
2479C22—24no—
2480C22—24no—
2481C22—22no—
2482C22—22no—
2483C22—24no—
2484C22—84no—
2485C22—432no—
2486C22—861no—
2487C22—861no—
2488C22—861no—
2489C22—862no—
2490C22—861no—
2491C22—862no—
2492C22—862no—
2493C22—861no—
2494C22—1724no—
2495C22C2×#1306337212yes—
2496C22C25×D4311yescharacteristic
2497C4—22no—
2498C4—24no—
2499C4—21no—
2500C4—21no—
2501C4—22no—
2502C4—22no—
2503C4—22no—
2504C4—22no—
2505C4—21no—
2506C4—21no—
2507C4—22no—
2508C4—22no—
2509C4—432no—
2510C4—861no—
2511C4—861no—
2512C4—862no—
2513C4—861no—
2514C4—864no—
2515C4—862no—
2516C4—861no—
2517C4—861no—
2518C4—862no—
2519C4—864no—
2520C4—862no—
2521C4—862no—
2522C4—862no—
2523C4—862no—
2524C4C2×#1306337212yes—
2525C4C2×#1306337212yes—
2526C2—22no—
2527C2—44no—
2528C2—42no—
2529C2—862no—
2530C2—1721no—
2531C2—1722no—
2532C2C22×#1306337211yescharacteristic
2533C2#585×D4311yescharacteristic
2534C2#585×D4311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3510C2
hypercenter#3510D43
hypocenterC43#62831
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3510

Complements

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

NH ≅ G/Ntype
1. #19149246C2semidirect
2. #19149242C2semidirect
3. #19149211C2semidirect
4. #19149098C2semidirect
5. #19149092C2semidirect
6. #19149082C2semidirect
7. #19149065C2semidirect
8. #19149031C2semidirect
9. #19148932C2semidirect
10. #19148791C2semidirect
11. #19148690C2semidirect
12. #19148677C2semidirect
13. #19148633C2semidirect
14. #19148610C2semidirect
15. #19148575C2semidirect
16. #19148561C2semidirect
17. #19148561C2semidirect
18. #19148489C2semidirect
19. #19148459C2semidirect
20. #19148452C2semidirect
21. #19148450C2semidirect
22. #19148446C2semidirect
23. #19148421C2semidirect
24. #19148416C2semidirect
25. #19148401C2semidirect
26. #19148393C2semidirect
27. #19148344C2semidirect
28. #19148337C2semidirect
29. #19148334C2semidirect
30. #19148327C2semidirect
31. #19148320C2semidirect
32. #19147888C2semidirect
33. #533×D43C2semidirect
34. C2×#14583428C2semidirect
35. C43×#3510C2semidirect
36. #14583652C22semidirect
37. #14583651C22semidirect
38. #14583651C22semidirect
39. #14583650C22semidirect
40. #14583650C22semidirect
41. #14583649C22semidirect
42. #14583646C22semidirect
43. #14583643C22semidirect
44. #14583635C22semidirect
45. #14583631C22semidirect
46. #14583631C22semidirect
47. #14583631C22semidirect
48. #14583631C22semidirect
49. Q8×Dic86C22semidirect
50. Q8×Dic86C22semidirect
51. #14583628C22semidirect
52. #14583628C22semidirect
53. #14583627C22semidirect
54. #14583627C22semidirect
55. #14583625C22semidirect
56. #14583625C22semidirect
57. #14583625C22semidirect
58. #14583625C22semidirect
59. #14583625C22semidirect
60. #14583625C22semidirect
61. #14583624C22semidirect
62. #14583623C22semidirect
63. #14583622C22semidirect
64. #14583620C22semidirect
65. #14583620C22semidirect
66. #14583619C22semidirect
67. #14583618C22semidirect
68. #14583618C22semidirect
69. #14583618C22semidirect
70. #14583618C22semidirect
71. #14583618C22semidirect
72. #14583616C22semidirect
73. #14583616C22semidirect
74. #14583616C22semidirect
77. #14583613C22semidirect
78. #14583609C22semidirect
79. #14583609C22semidirect
80. #14583609C22semidirect
83. #14583608C22semidirect
84. #14583608C22semidirect
85. #14583608C22semidirect
86. #14583608C22semidirect
87. #14583608C22semidirect
88. #14583608C22semidirect
89. #14583607C22semidirect
90. #14583607C22semidirect
91. #14583606C22semidirect
92. #14583606C22semidirect
96. #14583601C22semidirect
100. #14583596C22semidirect
101. #14583591C22semidirect
102. #14583591C22semidirect
103. #14583591C22semidirect
104. #14583590C22semidirect
105. #14583590C22semidirect
106. #14583589C22semidirect
107. #14583588C22semidirect
108. #14583588C22semidirect
110. #14583586C22semidirect
111. #14583586C22semidirect
112. #14583586C22semidirect
113. #14583585C22semidirect
114. #14583585C22semidirect
115. #14583585C22semidirect
116. #14583583C22semidirect
117. #14583583C22semidirect
119. #14583582C22semidirect
120. #14583582C22semidirect
127. #14583569C22semidirect
128. D4×Dic86C22semidirect
129. D4×Dic86C22semidirect
130. #14583562C22semidirect
131. #14583558C22semidirect
132. #14583557C22semidirect
134. #14583554C22semidirect
136. #14583549C22semidirect
137. #14583547C22semidirect
138. #14583547C22semidirect
139. #14583547C22semidirect
142. #14583528C22semidirect
148. #14583527C22semidirect
149. #14583527C22semidirect
150. #14583526C22semidirect
151. #14583526C22semidirect
153. #14583521C22semidirect
154. #14583520C22semidirect
156. #14583518C22semidirect
157. #14583518C22semidirect
158. #14583518C22semidirect
159. #14583518C22semidirect
160. #14583517C22semidirect
161. #14583517C22semidirect
162. #14583517C22semidirect
163. #14583515C22semidirect
165. #14583513C22semidirect
166. #14583513C22semidirect
167. #14583511C22semidirect
168. #14583510C22semidirect
169. #14583509C22semidirect
170. #14583507C22semidirect
171. #14583506C22semidirect
172. #14583506C22semidirect
173. #14583506C22semidirect
174. #14583506C22semidirect
177. #14583498C22semidirect
179. #14583493C22semidirect
180. #14583492C22semidirect
181. #14583492C22semidirect
182. #14583492C22semidirect
183. #14583491C22semidirect
184. #14583491C22semidirect
185. #14583490C22semidirect
186. #14583490C22semidirect
187. #14583490C22semidirect
190. #14583472C22semidirect
191. #14583471C22semidirect
192. #14583469C22semidirect
195. #14583456C22semidirect
196. #14583455C22semidirect
197. #14583455C22semidirect
198. #14583455C22semidirect
199. #14583454C22semidirect
200. #14583454C22semidirect
201. #14583454C22semidirect
202. #14583453C22semidirect
203. #14583453C22semidirect
204. #14583453C22semidirect
205. #14583453C22semidirect
206. #14583453C22semidirect
215. #14583446C22semidirect
216. #14583446C22semidirect
218. C4⋊Q8×D43C22semidirect
219. C4⋊Q8×D43C22semidirect
220. #14583436C22semidirect
221. #14583436C22semidirect
222. #14583436C22semidirect
224. #14583431C22semidirect
225. #14583431C22semidirect
237. #14583428C22semidirect
238. #14583428C22semidirect
239. #14583428C22semidirect
240. #14583427C22semidirect
241. #14583427C22semidirect
245. C2×#13063317C22semidirect
246. #125×D43C22semidirect
247. #125×D43C22semidirect
248. #125×D43C22semidirect
264. #14583379C22semidirect
265. #14583378C22semidirect
266. #14583378C22semidirect
268. #14583376C22semidirect
271. C4×#10621898C22semidirect
272. C4×#10621898C22semidirect
274. C4×Q8×D43C22semidirect
275. C4×Q8×D43C22semidirect
282. C43×#559C22semidirect
283. C43×#559C22semidirect
284. C43×#556C22semidirect
285. C43×#556C22semidirect
288. C43×#542C22semidirect
289. C43×#542C22semidirect
293. C43×#529C22semidirect
294. C43×#529C22semidirect
1277. #3510D43semidirect
1316. #559C2×D43semidirect
1317. #559C2×D43semidirect
1344. #556C2×D43semidirect
1345. #556C2×D43semidirect
1440. #542C2×D43semidirect
1441. #542C2×D43semidirect
1521. #529C2×D43semidirect
1522. #529C2×D43semidirect
1566. C43#62831semidirect

Maximal subgroups

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

subgroupindex
#191492462
#191492422
#191492112
#191490982
#191490922
#191490822
#191490652
#191490312
#191489322
#191487912
#191486902
#191486772
#191486332
#191486102
#191485752
#191485612
#191484892
#191484592
#191484522
#191484502
#191484462
#191484212
#191484162
#191484012
#191483932
#191483442
#191483372
#191483342
#191483272
#191483202
#191478882
#533×D432
C2×#145834282
C43×#35102
#6283143