Finite Group Databasebeta

← #26005290

Subgroups — #26005290

Order 11008.

7274 conjugacy classes of subgroups.

The subgroup lattice has 2440 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149152C212yesmaximal, complemented
2#19149148C214yesmaximal, complemented
3#19149144C212yesmaximal, complemented
4#19149132C212yesmaximal, complemented
5#19149129C211yesmaximal, characteristic, complemented
6#19149118C211yesmaximal, characteristic, complemented
7#19149117C212yesmaximal, complemented
8#19149111C211yesmaximal, characteristic, complemented
9#19148953C212yesmaximal, complemented
10#19148945C212yesmaximal, complemented
11#19148938C212yesmaximal, complemented
12#19148924C212yesmaximal, complemented
13#19148679C212yesmaximal, complemented
14#19148673C212yesmaximal, complemented
15#19148623C212yesmaximal, complemented
16#19148620C212yesmaximal, complemented
17#19148542C212yesmaximal, complemented
18#19148538C212yesmaximal, complemented
19#19148525C214yesmaximal, complemented
20#19148427C212yesmaximal, complemented
21#19148424C212yesmaximal, complemented
22#19148358C212yesmaximal, complemented
23#19148353C212yesmaximal, complemented
24#19148333C212yesmaximal, complemented
25#19148322C212yesmaximal, complemented
26#19148319C214yesmaximal, complemented
27#19148234C214yesmaximal, complemented
28#532×D43C211yesmaximal, characteristic, complemented
29C2×#14583434C211yesmaximal, characteristic, complemented
30#529×D43C211yesmaximal, characteristic, complemented
31C43×#3559C211yesmaximal, characteristic, complemented
32C2×#13063371C2214yescomplemented
33C2×#41×D43C2212yescomplemented
34#14583653C2212yescomplemented
35#14583653C2214yescomplemented
36#14583650C2214yescomplemented
37#14583647C2212yescomplemented
38#14583647C2212yescomplemented
39#14583643C2212yescomplemented
40#14583641C2212yescomplemented
41#14583641C2212yescomplemented
42#14583639C2214yescomplemented
43#14583637C2214yescomplemented
44#14583634C2212yescomplemented
45#14583633C2214yescomplemented
46#14583632C2212yescomplemented
47#14583632C2212yescomplemented
48#14583629C2212yescomplemented
49#14583615C2214yescomplemented
50#14583613C2214yescomplemented
51#14583612C2212yescomplemented
52#14583605C2212yescomplemented
53#14583605C2212yescomplemented
54#14583604C2212yescomplemented
55#14583603C2214yescomplemented
56#14583602C2214yescomplemented
57#14583602C2214yescomplemented
58#14583602C2212yescomplemented
59#14583601C2214yescomplemented
60#14583600C2214yescomplemented
61#14583600C2214yescomplemented
62#14583599C2214yescomplemented
63#14583597C2214yescomplemented
64#14583597C2212yescomplemented
65#14583595C2214yescomplemented
66#14583594C2214yescomplemented
67#14583592C2214yescomplemented
68#14583588C2212yescomplemented
69#14583587C2212yescomplemented
70#14583581C2214yescomplemented
71#14583577C2214yescomplemented
72#14583577C2214yescomplemented
73#14583576C2214yescomplemented
74#14583576C2214yescomplemented
75#14583576C2214yescomplemented
76#14583576C2214yescomplemented
77#14583574C2214yescomplemented
78#14583574C2214yescomplemented
79#14583572C2214yescomplemented
80#14583572C2214yescomplemented
81#14583570C2212yescomplemented
82#14583567C2212yescomplemented
83#14583559C2214yescomplemented
84#14583558C2212yescomplemented
85#14583555C2212yescomplemented
86#14583552C2214yescomplemented
87#14583552C2212yescomplemented
88#14583551C2214yescomplemented
89#14583551C2214yescomplemented
90#14583551C2214yescomplemented
91#14583550C2214yescomplemented
92#14583550C2212yescomplemented
93#14583550C2212yescomplemented
94#14583550C2214yescomplemented
95#14583548C2214yescomplemented
96#14583547C2214yescomplemented
97#14583547C2214yescomplemented
98#14583546C2214yescomplemented
99#14583546C2214yescomplemented
100#14583546C2212yescomplemented
101#14583545C2212yescomplemented
102#14583545C2214yescomplemented
103#14583544C2212yescomplemented
104#14583544C2214yescomplemented
105#14583544C2212yescomplemented
106#14583541C2214yescomplemented
107#14583541C2214yescomplemented
108#14583541C2214yescomplemented
109#14583541C2214yescomplemented
110#14583541C2214yescomplemented
111#14583541C2214yescomplemented
112#14583540C2214yescomplemented
113#14583540C2214yescomplemented
114#14583540C2214yescomplemented
115#14583540C2214yescomplemented
116#14583538C2214yescomplemented
117#14583538C2214yescomplemented
118#14583537C2214yescomplemented
119#14583537C2214yescomplemented
120D4×D172C2212yescomplemented
121D4×D172C2212yescomplemented
122#14583533C2214yescomplemented
123#14583533C2212yescomplemented
124#14583533C2212yescomplemented
125#14583533C2214yescomplemented
126#14583533C2212yescomplemented
127#14583529C2212yescomplemented
128#14583526C2214yescomplemented
129#14583523C2212yescomplemented
130#14583523C2212yescomplemented
131#14583522C2214yescomplemented
132#14583520C2212yescomplemented
133#14583519C2214yescomplemented
134#14583519C2214yescomplemented
135#14583519C2214yescomplemented
136#14583519C2214yescomplemented
137#14583517C2214yescomplemented
138#14583516C2212yescomplemented
139#14583505C2212yescomplemented
140#14583505C2212yescomplemented
141#14583502C2212yescomplemented
142#14583501C2214yescomplemented
143#14583501C2214yescomplemented
144#14583498C2214yescomplemented
145#14583497C2214yescomplemented
146#14583496C2212yescomplemented
147#14583490C2214yescomplemented
148#14583490C2214yescomplemented
149#14583489C2212yescomplemented
150#14583489C2214yescomplemented
151#14583488C2214yescomplemented
152#14583488C2214yescomplemented
153#14583488C2214yescomplemented
154#14583486C2212yescomplemented
155#14583486C2214yescomplemented
156#14583485C2214yescomplemented
157#14583485C2214yescomplemented
158#14583482C2214yescomplemented
159#14583481C2214yescomplemented
160#14583480C2212yescomplemented
161#14583479C2214yescomplemented
162#14583474C2214yescomplemented
163#14583472C2214yescomplemented
164#14583468C2212yescomplemented
165#14583465C2214yescomplemented
166#14583462C2212yescomplemented
167#14583460C2214yescomplemented
168#14583460C2214yescomplemented
169#14583460C2214yescomplemented
170#14583457C2212yescomplemented
171#14583457C2212yescomplemented
172#14583457C2214yescomplemented
173#14583457C2214yescomplemented
174#14583450C2211yescharacteristic, complemented
175#14583450C2212yescomplemented
176#14583449C2211yescharacteristic, complemented
177#14583448C2212yescomplemented
178#14583447C2211yescharacteristic, complemented
179#14583446C2212yescomplemented
180#14583446C2212yescomplemented
181#14583446C2212yescomplemented
182#14583445C2212yescomplemented
183#14583445C2214yescomplemented
184#14583444C2212yescomplemented
185#14583444C2212yescomplemented
186C4⋊Q8×D43C2211yescharacteristic, complemented
187#127×D43C2211yescharacteristic, complemented
188#14583436C2211yescharacteristic, complemented
189#14583435C2211yescharacteristic, complemented
190#14583434C2212yescomplemented
191#14583434C2212yescomplemented
192#14583434C2212yescomplemented
193#14583434C2212yescomplemented
194#14583434C2211yescharacteristic, complemented
195#14583434C2212yescomplemented
196#14583434C2212yescomplemented
197#14583434C2212yescomplemented
198#14583434C2212yescomplemented
199#14583434C2212yescomplemented
200#14583433C2211yescharacteristic, complemented
201#14583432C2212yescomplemented
202#14583431C2212yescomplemented
203#14583431C2211yescharacteristic, complemented
204#14583430C2211yescharacteristic, complemented
205#14583429C2212yescomplemented
206#14583428C2211yescharacteristic, complemented
207#14583427C2212yescomplemented
208#14583426C2212yescomplemented
209#14583426C2214yescomplemented
210C2×#13063320C2212yescomplemented
211#126×D43C2212yescomplemented
212#125×D43C2211yescharacteristic, complemented
213C2×#13063313C2211yescharacteristic, complemented
214#124×D43C2211yescharacteristic, complemented
215#124×D43C2212yescomplemented
216#14583412C2214yescomplemented
217#14583411C2212yescomplemented
218#14583409C2212yescomplemented
219#14583408C2214yescomplemented
220#14583408C2214yescomplemented
221C2×#13063310C2212yescomplemented
222C2×#13063310C2214yescomplemented
223#123×D43C2212yescomplemented
224#123×D43C2214yescomplemented
225C2×#13063305C2211yescharacteristic, complemented
226C22⋊Q8×D43C2211yescharacteristic, complemented
227C2×#13063300C2211yescharacteristic
228C2×#13063300C2212yescomplemented
229#121×D43C2211yescharacteristic
230#121×D43C2214yescomplemented
231#121×D43C2212yescomplemented
232#121×D43C2212yescomplemented
233#121×D43C2212yescomplemented
234#14583380C2214yescomplemented
235#14583380C2212yescomplemented
236#14583378C2212yescomplemented
237#14583373C2212yescomplemented
238#14583371C2214yescomplemented
239#14583371C2212yescomplemented
240#14583371C2214yescomplemented
241C2×#13063290C2211yescharacteristic, complemented
242C4×Q8×D43C2211yescharacteristic, complemented
243C2×#13063287C2212yescomplemented
244C2×#13063287C2211yescharacteristic, complemented
245C4×D4×D43C2212yescomplemented
246C4×D4×D43C2211yescharacteristic, complemented
247C4×D4×D43C2212yescomplemented
248C4×D4×D43C2212yescomplemented
249C2×#13063283C2212yescomplemented
250#117×D43C2212yescomplemented
251C2×C42×D43C2211yescharacteristic, complemented
252C43×#563C2212yescomplemented
253C43×#562C2212yescomplemented
254C43×#554C2212yescomplemented
255C43×#553C2212yescomplemented
256C43×#553C2212yescomplemented
257C43×#547C2214yescomplemented
258C43×#547C2212yescomplemented
259C43×#544C2212yescomplemented
260C43×#540C2212yescomplemented
261C43×#539C2214yescomplemented
262C43×#539C2212yescomplemented
263C43×#537C2212yescomplemented
264C43×#532C2211yescharacteristic, complemented
265C43×#529C2211yescharacteristic, complemented
266C2×#125×C43C2211yescharacteristic, complemented
267#13063371—416no—
268C2×#10621902C2312yes—
269C2×#10621902C2314yes—
270C2×#10621902C2314yes—
271C2×#10621898C2312yes—
272C2×#10621898C2314yes—
273C2×#10621898C2314yes—
274C2×#10621898C2312yes—
275C2×#10621898C2314yes—
276C2×#10621898C2314yes—
277C2×#10621898C2314yes—
278C2×#10621900C2312yes—
279C2×#10621900C2314yes—
280C2×#10621900C2312yes—
281#41×D43—48no—
282C22×Dic86C2311yescharacteristic
283C2×Q8×D43C2311yescharacteristic
284C2×Q8×D43C2312yes—
285C22×D172C2312yes—
286C22×D172C2311yescharacteristic
287C22×D172C2312yes—
288C22×D172C2314yes—
289C22×D172C2314yes—
290C2×D4×D43C2312yes—
291C2×D4×D43C2314yes—
292C2×D4×D43C2311yescharacteristic
293C2×D4×D43C2312yes—
294C2×D4×D43C2312yes—
295C2×D4×D43C2312yes—
296C2×D4×D43C2314yes—
297C2×D4×D43C2314yes—
298C2×D4×D43C2314yes—
299C2×D4×D43C2314yes—
300C2×D4×D43C2314yes—
301C2×D4×D43C2312yes—
302C22×C4×D43C2311yescharacteristic
303C22×C4×D43C2311yescharacteristic
304C22×C4×D43C2311yescharacteristic
305C22×C4×D43C2312yes—
306C22×C4×D43C2312yes—
307C22×C4×D43C2314yes—
308#13063325C2311yescharacteristic
309#13063324C2312yes—
310#13063324C2312yes—
311#13063324C2314yes—
312#13063324C2314yes—
313#13063324C2312yes—
314#13063323C2314yes—
315#13063323C2314yes—
316#13063323C2312yes—
317#13063322C2312yes—
318#13063322C2311yescharacteristic
319#13063321C2312yes—
320#13063321C2314yes—
321#13063321C2312yes—
322#13063321C2312yes—
323#13063321C2312yes—
324#13063320C2314yes—
325#13063320C2314yes—
326#13063320C2314yes—
327#13063320C2314yes—
328#13063320C2312yes—
329#13063320C2314yes—
330#13063320C2314yes—
331#13063320C2314yes—
332#13063320C2314yes—
333#13063320C2314yes—
334#13063320C2312yes—
335#13063320C2312yes—
336#13063320C2314yes—
337#13063320C2314yes—
338#13063319C2312yes—
339#13063318C2314yes—
340#13063318C2314yes—
341#13063318C2312yes—
342#13063318C2314yes—
343#13063318C2312yes—
344#13063318C2312yes—
345#13063317C2314yes—
346#13063317C2311yescharacteristic
347#13063316C2314yes—
348#13063316C2312yes—
349#13063316C2311yescharacteristic
350#13063316C2311yescharacteristic
351#13063315C2314yes—
352#13063315C2314yes—
353#13063315C2312yes—
354#13063315C2312yes—
355#13063314C2314yes—
356#13063314C2312yes—
357#13063314C2314yes—
358#13063314C2314yes—
359#13063314C2314yes—
360#13063314C2311yescharacteristic
361#13063313C2312yes—
362#13063313C2314yes—
363#13063313C2312yes—
364#13063313C2312yes—
365#13063313C2311yescharacteristic
366#13063313C2312yes—
367#13063313C2312yes—
368#13063313C2312yes—
369#13063312C2312yes—
370#13063312C2312yes—
371#13063312C2314yes—
372#13063312C2311yescharacteristic
373#13063311C2314yes—
374#13063311C2314yes—
375#13063311C2314yes—
376#13063311C2314yes—
377#13063311C2314yes—
378#13063311C2314yes—
379#13063311C2314yes—
380#13063311C2312yes—
381#13063311C2312yes—
382#13063311C2314yes—
383#13063311C2314yes—
384#13063310C2314yes—
385#13063310C2314yes—
386#13063310C2314yes—
387#13063310C2314yes—
388#13063310C2314yes—
389#13063310C2314yes—
390#13063310C2314yes—
391#13063310C2314yes—
392#13063310C2314yes—
393#13063310C2314yes—
394#13063310C2314yes—
395#13063310C2314yes—
396#13063310C2314yes—
397#13063310C2314yes—
398#13063310C2314yes—
399#13063310C2314yes—
400#13063310C2314yes—
401#13063310C2314yes—
402#13063310C2314yes—
403#13063310C2312yes—
404#13063310C2312yes—
405#13063310C2314yes—
406#13063310C2314yes—
407#13063309C2314yes—
408#13063309C2314yes—
409#13063309C2314yes—
410#13063309C2314yes—
411#13063309C2312yes—
412#13063308C2314yes—
413#13063308C2314yes—
414#13063308C2314yes—
415#13063308C2312yes—
416#13063308C2314yes—
417#13063307C2314yes—
418#13063307C2314yes—
419#13063307C2314yes—
420#13063307C2314yes—
421#13063307C2314yes—
422#13063307C2314yes—
423#13063307C2314yes—
424#13063307C2312yes—
425#13063307C2312yes—
426#13063307C2314yes—
427#13063306C2314yes—
428#13063306C2312yes—
429#13063305C2312yes—
430#13063305C2312yes—
431#13063305C2314yes—
432#13063305C2311yescharacteristic
433#13063305C2312yes—
434#13063305C2314yes—
435#13063305C2314yes—
436#13063305C2312yes—
437#13063305C2312yes—
438#13063304C2312yes—
439#13063304C2314yes—
440#13063304C2311yescharacteristic
441#13063303C2314yes—
442#13063303C2314yes—
443#13063303C2314yes—
444#13063303C2314yes—
445#13063303C2314yes—
446#13063303C2314yes—
447#13063303C2314yes—
448#13063303C2312yes—
449#13063303C2314yes—
450#13063303C2314yes—
451#13063303C2314yes—
452#13063302C2314yes—
453#13063302C2314yes—
454#13063302C2312yes—
455#13063301C2314yes—
456#13063301C2314yes—
457#13063301C2314yes—
458#13063301C2311yescharacteristic
459#13063300C2314yes—
460#13063300C2312yes—
461#13063300C2314yes—
462#13063300C2312yes—
463#13063300C2314yes—
464#13063300C2312yes—
465#13063300C2312yes—
466#13063300C2314yes—
467#13063300C2314yes—
468#13063300C2314yes—
469#13063300C2312yes—
470#13063300C2314yes—
471#13063300C2314yes—
472#13063300C2314yes—
473#13063300C2314yes—
474#13063300C2314yes—
475#13063300C2311yescharacteristic
476#13063300C2312yes—
477#13063300C2312yes—
478#13063300C2312yes—
479#13063300C2312yes—
480#13063299C2312yes—
481#13063299C2314yes—
482#13063299C2314yes—
483#13063299C2314yes—
484#13063299C2314yes—
485#13063299C2314yes—
486#13063299C2312yes—
487#13063299C2311yescharacteristic
488#13063299C2312yes—
489#13063298C2314yes—
490#13063298C2314yes—
491#13063298C2314yes—
492#13063298C2314yes—
493#13063298C2314yes—
494#13063298C2314yes—
495#13063298C2314yes—
496#13063298C2314yes—
497#13063298C2314yes—
498#13063298C2314yes—
499#13063298C2314yes—
500#13063298C2312yes—
501#13063298C2314yes—
502#13063297C2314yes—
503#13063297C2314yes—
504#13063297C2314yes—
505#13063297C2314yes—
506#13063297C2314yes—
507#13063297C2314yes—
508#13063297C2314yes—
509#13063297C2314yes—
510#13063297C2312yes—
511#13063297C2314yes—
512#13063296C2312yes—
513#13063296C2314yes—
514#13063296C2314yes—
515#13063296C2311yescharacteristic
516#13063296C2312yes—
517#13063295C2314yes—
518#13063295C2314yes—
519#13063295C2314yes—
520#13063295C2314yes—
521#13063295C2314yes—
522#13063295C2314yes—
523#13063295C2314yes—
524#13063295C2314yes—
525#13063295C2314yes—
526#13063295C2314yes—
527#13063295C2314yes—
528#13063295C2314yes—
529#13063293C2314yes—
530#13063293C2314yes—
531#13063293C2314yes—
532#13063293C2314yes—
533#13063293C2314yes—
534#13063293C2314yes—
535#13063293C2314yes—
536#13063293C2314yes—
537Q8×Dic43C2311yescharacteristic
538C4×Dic86C2312yes—
539C4×Dic86C2312yes—
540C4×Dic86C2311yescharacteristic
541#13063290C2312yes—
542#13063290C2314yes—
543#13063290C2312yes—
544#13063290C2312yes—
545#13063290C2312yes—
546#13063290C2311yescharacteristic
547#13063290C2312yes—
548#13063290C2312yes—
549C4×D172C2312yes—
550C4×D172C2314yes—
551C4×D172C2314yes—
552C4×D172C2312yes—
553C4×D172C2314yes—
554C4×D172C2314yes—
555C4×D172C2311yescharacteristic
556C4×D172C2312yes—
557C4×D172C2312yes—
558D4×Dic43C2314yes—
559D4×Dic43C2312yes—
560D4×Dic43C2314yes—
561D4×Dic43C2312yes—
562D4×Dic43C2312yes—
563D4×Dic43C2311yescharacteristic
564#13063287C2314yes—
565#13063287C2314yes—
566#13063287C2312yes—
567#13063287C2312yes—
568#13063287C2312yes—
569#13063287C2314yes—
570#13063287C2312yes—
571#13063287C2314yes—
572#13063287C2314yes—
573#13063287C2314yes—
574#13063287C2314yes—
575#13063287C2314yes—
576#13063287C2312yes—
577#13063287C2312yes—
578#13063287C2312yes—
579#13063287C2312yes—
580#13063287C2311yescharacteristic
581#13063287C2312yes—
582#13063287C2312yes—
583C4×C22⋊D43C2312yes—
584C4×C22⋊D43C2314yes—
585C4×C22⋊D43C2312yes—
586C4×C22⋊D43C2314yes—
587C4×C22⋊D43C2314yes—
588C4×C22⋊D43C2314yes—
589C4×C22⋊D43C2314yes—
590C4×C22⋊D43C2314yes—
591C4×C22⋊D43C2314yes—
592C4×C22⋊D43C2314yes—
593C4×C22⋊D43C2312yes—
594C4×C22⋊D43C2314yes—
595C4×C22⋊D43C2314yes—
596C4×C22⋊D43C2314yes—
597C4×C22⋊D43C2314yes—
598(C22⋊D43)⋊C4C2314yes—
599(C22⋊D43)⋊C4C2314yes—
600(C22⋊D43)⋊C4C2312yes—
601(C22⋊D43)⋊C4C2314yes—
602(C22⋊D43)⋊C4C2314yes—
603(C22⋊D43)⋊C4C2314yes—
604(C22⋊D43)⋊C4C2312yes—
605(C22⋊D43)⋊C4C2314yes—
606(C22⋊D43)⋊C4C2312yes—
607(C22⋊D43)⋊C4C2314yes—
608#13063284C2314yes—
609#13063284C2312yes—
610#13063283C2312yes—
611#13063283C2314yes—
612#13063283C2314yes—
613#13063283C2314yes—
614#13063283C2314yes—
615#13063283C2314yes—
616#13063283C2312yes—
617#13063283C2312yes—
618#13063283C2314yes—
619#13063283C2314yes—
620#13063282C2314yes—
621#13063282C2314yes—
622#13063282C2312yes—
623#13063282C2312yes—
624#13063281C2312yes—
625#13063281C2314yes—
626#13063281C2312yes—
627C2×C4⋊Dic43C2312yes—
628C2×Dic43⋊C4C2314yes—
629C2×Dic43⋊C4C2312yes—
630C4⋊C4×D43C2312yes—
631C4⋊C4×D43C2312yes—
632C4⋊C4×D43C2314yes—
633C4⋊C4×D43C2312yes—
634C4⋊C4×D43C2312yes—
635C4⋊C4×D43C2312yes—
636C4⋊C4×D43C2314yes—
637C4⋊C4×D43C2311yescharacteristic
638C4⋊C4×D43C2314yes—
639C4⋊C4×D43C2312yes—
640C4⋊C4×D43C2311yescharacteristic
641C4⋊C4×D43C2312yes—
642C2×(C2×D43)⋊C4C2314yes—
643C2×(C2×D43)⋊C4C2314yes—
644C2×(C2×D43)⋊C4C2314yes—
645C2×(C2×D43)⋊C4C2314yes—
646C2×(C2×D43)⋊C4C2312yes—
647C2×(C2×D43)⋊C4C2312yes—
648C2×(C2×D43)⋊C4C2312yes—
649C2×(C2×D43)⋊C4C2312yes—
650C2×(C2×D43)⋊C4C2312yes—
651C22⋊C4×D43C2314yes—
652C22⋊C4×D43C2314yes—
653C22⋊C4×D43C2314yes—
654C22⋊C4×D43C2314yes—
655C22⋊C4×D43C2314yes—
656C22⋊C4×D43C2314yes—
657C22⋊C4×D43C2314yes—
658C22⋊C4×D43C2314yes—
659C22⋊C4×D43C2312yes—
660C22⋊C4×D43C2312yes—
661C22⋊C4×D43C2312yes—
662C22⋊C4×D43C2312yes—
663C22⋊C4×D43C2312yes—
664C2×C4×Dic43C2311yescharacteristic
665C2×C4×Dic43C2311yescharacteristic
666C2×C4×Dic43C2311yescharacteristic
667C2×C4×Dic43C2312yes—
668C42×D43C2311yescharacteristic
669C42×D43C2311yescharacteristic
670C42×D43C2311yescharacteristic
671C42×D43C2311yescharacteristic
672C42×D43C2311yescharacteristic
673C42×D43C2311yescharacteristic
674C42×D43C2311yescharacteristic
675C42×D43C2311yescharacteristic
676C42×D43C2312yes—
677C2×#41×C43C2312yes—
678C2×#41×C43C2314yes—
679C4⋊Q8×C43C2312yes—
680C4⋊Q8×C43C2314yes—
681C4⋊Q8×C43C2311yescharacteristic
682#127×C43C2311yescharacteristic
683#126×C43C2314yes—
684#126×C43C2314yes—
685#126×C43C2312yes—
686#125×C43C2314yes—
687#125×C43C2312yes—
688#125×C43C2312yes—
689#125×C43C2312yes—
690#125×C43C2312yes—
691#125×C43C2311yescharacteristic
692#125×C43C2312yes—
693#124×C43C2311yescharacteristic
694#124×C43C2312yes—
695#123×C43C2314yes—
696#123×C43C2314yes—
697#123×C43C2314yes—
698#123×C43C2314yes—
699#123×C43C2312yes—
700#123×C43C2314yes—
701#123×C43C2314yes—
702C22⋊Q8×C43C2314yes—
703C22⋊Q8×C43C2314yes—
704C22⋊Q8×C43C2314yes—
705C22⋊Q8×C43C2314yes—
706C22⋊Q8×C43C2311yescharacteristic
707C22⋊Q8×C43C2314yes—
708C22⋊Q8×C43C2314yes—
709#121×C43C2312yes—
710#121×C43C2312yes—
711#121×C43C2311yescharacteristic
712#121×C43C2312yes—
713#121×C43C2314yes—
714#121×C43C2314yes—
715#121×C43C2314yes—
716#121×C43C2314yes—
717#121×C43C2312yes—
718C4×Q8×C43C2311yescharacteristic
719C4×D4×C43C2312yes—
720C4×D4×C43C2312yes—
721C4×D4×C43C2311yescharacteristic
722C4×D4×C43C2312yes—
723C4×D4×C43C2312yes—
724C4×D4×C43C2314yes—
725C4×D4×C43C2314yes—
726C4×D4×C43C2312yes—
727#117×C43C2312yes—
728#117×C43C2312yes—
729C2×C4⋊C4×C43C2312yes—
730C2×C4⋊C4×C43C2311yescharacteristic
731C2×C4⋊C4×C43C2312yes—
732C2×C4⋊C4×C43C2311yescharacteristic
733C2×C4⋊C4×C43C2314yes—
734C2×C4⋊C4×C43C2312yes—
735C2×C42×C43C2311yescharacteristic
736C23×D43C2412yes—
737C23×D43C2414yes—
738C23×D43C2412yes—
739C23×D43C2414yes—
740C23×D43C2414yes—
741C23×D43C2411yescharacteristic
742#41×C43—44no—
743#41×C43—48no—
744C2×Q8×C43C2411yescharacteristic
745C2×Q8×C43C2414yes—
746C2×Q8×C43C2412yes—
747C2×D4×C43C2412yes—
748C2×D4×C43C2414yes—
749C2×D4×C43C2412yes—
750C2×D4×C43C2414yes—
751C2×D4×C43C2411yescharacteristic
752C2×D4×C43C2412yes—
753C2×D4×C43C2414yes—
754C2×D4×C43C2412yes—
755C22×C4×C43C2411yescharacteristic
756C22×C4×C43C2411yescharacteristic
757C22×C4×C43C2412yes—
758C22×C4×C43C2412yes—
759C22×C4×C43C2411yescharacteristic
760C22×C4×C43C2412yes—
761C22×C4×C43C2414yes—
762C22×C4×C43C2414yes—
763C22×C4×C43C2414yes—
764C22×C4×C43C2414yes—
765C2×C22⋊D43C2414yes—
766C2×C22⋊D43C2412yes—
767C2×C22⋊D43C2412yes—
768C2×C22⋊D43C2414yes—
769C2×C22⋊D43C2414yes—
770C2×C22⋊D43C2412yes—
771C2×C22⋊D43C2414yes—
772C2×C22⋊D43C2414yes—
773C2×C22⋊D43C2414yes—
774C2×C22⋊D43C2414yes—
775C2×C22⋊D43C2414yes—
776C2×C22⋊D43C2414yes—
777C2×C22⋊D43C2414yes—
778C2×C22⋊D43C2414yes—
779C22×Dic43C2411yescharacteristic
780C22×Dic43C2411yescharacteristic
781C22×Dic43C2411yescharacteristic
782C22×Dic43C2412yes—
783C22×Dic43C2414yes—
784C22×Dic43C2412yes—
785C22×Dic43C2414yes—
786#10621902—44no—
787#10621902—48no—
788#10621902—48no—
789Q8×D43—42no—
790Q8×D43—44no—
791#10621900—44no—
792#10621900—44no—
793#10621900—48no—
794D4×D43—216no—
795D4×D43—28no—
796D4×D43—44no—
797D4×D43—48no—
798D4×D43—48no—
799D4×D43—48no—
800D4×D43—48no—
801D4×D43—44no—
802D4×D43—44no—
803D4×D43—44no—
804D4×D43—42no—
805D4×D43—48no—
806#10621898—48no—
807#10621898—44no—
808#10621898—48no—
809#10621898—48no—
810#10621898—48no—
811#10621898—44no—
812#10621898—48no—
813C2×D172—28no—
814C2×D172—48no—
815C2×D172—48no—
816C2×D172—42no—
817C2×D172—44no—
818C2×D172C2412yes—
819C2×D172C2412yes—
820C2×D172C2414yes—
821C2×D172C2414yes—
822C2×D172C2412yes—
823C2×D172C2414yes—
824C2×D172C2414yes—
825C2×D172C2412yes—
826C2×D172C2411yescharacteristic
827C2×D172C2414yes—
828C2×D172C2412yes—
829C2×D172C2414yes—
830C2×D172C2414yes—
831C2×D172C2412yes—
832C2×D172C2414yes—
833C2×D172C2414yes—
834C2×C4×D43—24no—
835C2×C4×D43—48no—
836C2×C4×D43—42no—
837C2×C4×D43—44no—
838C2×C4×D43—42no—
839C2×C4×D43—44no—
840C2×C4×D43C2411yescharacteristic
841C2×C4×D43C2411yescharacteristic
842C2×C4×D43C2411yescharacteristic
843C2×C4×D43C2411yescharacteristic
844C2×C4×D43C2411yescharacteristic
845C2×C4×D43C2411yescharacteristic
846C2×C4×D43C2411yescharacteristic
847C2×C4×D43C2411yescharacteristic
848C2×C4×D43C2412yes—
849C2×C4×D43C2414yes—
850C2×C4×D43C2412yes—
851C2×C4×D43C2414yes—
852C2×C4×D43C2411yescharacteristic
853C2×C4×D43C2411yescharacteristic
854C2×C4×D43C2411yescharacteristic
855C2×C4×D43C2411yescharacteristic
856C2×C4×D43C2412yes—
857C2×C4×D43C2412yes—
858C2×C4×D43C2414yes—
859C2×C4×D43C2414yes—
860C2×C4×D43C2412yes—
861C2×C4×D43C2414yes—
862C2×C4×D43C2414yes—
863C2×C4×D43C2414yes—
864C2×C4×D43C2414yes—
865C2×C4×D43C2414yes—
866C2×C4×D43C2414yes—
867C2×C4×D43C2414yes—
868C2×Dic86—42no—
869C2×Dic86C2412yes—
870C2×Dic86C2412yes—
871C2×Dic86C2412yes—
872C2×Dic86C2411yescharacteristic
873C2×Dic86C2414yes—
874C2×Dic86C2412yes—
875C2×Dic86C2414yes—
876C4⋊C4×C43C2412yes—
877C4⋊C4×C43C2414yes—
878C4⋊C4×C43C2412yes—
879C4⋊C4×C43C2412yes—
880C4⋊C4×C43C2412yes—
881C4⋊C4×C43C2414yes—
882C4⋊C4×C43C2414yes—
883C4⋊C4×C43C2414yes—
884C4⋊C4×C43C2414yes—
885C4⋊C4×C43C2412yes—
886C4⋊C4×C43C2414yes—
887C4⋊C4×C43C2414yes—
888C4⋊C4×C43C2412yes—
889C4⋊C4×C43C2412yes—
890C4⋊C4×C43C2412yes—
891C4⋊C4×C43C2412yes—
892C4⋊C4×C43C2414yes—
893C4⋊C4×C43C2412yes—
894C4⋊C4×C43C2411yescharacteristic
895C4⋊C4×C43C2411yescharacteristic
896C22⋊C4×C43C2412yes—
897C22⋊C4×C43C2414yes—
898C22⋊C4×C43C2412yes—
899C22⋊C4×C43C2412yes—
900C22⋊C4×C43C2412yes—
901C22⋊C4×C43C2414yes—
902C22⋊C4×C43C2414yes—
903C22⋊C4×C43C2414yes—
904C22⋊C4×C43C2414yes—
905C22⋊C4×C43C2414yes—
906C22⋊C4×C43C2414yes—
907C22⋊C4×C43C2412yes—
908C42×C43C2411yescharacteristic
909C42×C43C2411yescharacteristic
910C42×C43C2411yescharacteristic
911C42×C43C2411yescharacteristic
912C42×C43C2412yes—
913C42×C43C2414yes—
914C22⋊Dic43C2412yes—
915C22⋊Dic43C2412yes—
916C22⋊Dic43C2414yes—
917C22⋊Dic43C2414yes—
918C22⋊Dic43C2412yes—
919C22⋊Dic43C2412yes—
920C22⋊Dic43C2412yes—
921C22⋊Dic43C2414yes—
922C22⋊Dic43C2414yes—
923C22⋊Dic43C2414yes—
924(C2×D43)⋊C4C2412yes—
925(C2×D43)⋊C4C2412yes—
926(C2×D43)⋊C4C2414yes—
927(C2×D43)⋊C4C2414yes—
928(C2×D43)⋊C4C2412yes—
929(C2×D43)⋊C4C2414yes—
930(C2×D43)⋊C4C2412yes—
931(C2×D43)⋊C4C2414yes—
932(C2×D43)⋊C4C2414yes—
933(C2×D43)⋊C4C2414yes—
934(C2×D43)⋊C4C2412yes—
935(C2×D43)⋊C4C2414yes—
936(C2×D43)⋊C4C2414yes—
937(C2×D43)⋊C4C2412yes—
938(C2×D43)⋊C4C2412yes—
939(C2×D43)⋊C4C2414yes—
940(C2×D43)⋊C4C2412yes—
941(C2×D43)⋊C4C2414yes—
942(C2×D43)⋊C4C2412yes—
943(C2×D43)⋊C4C2412yes—
944(C2×D43)⋊C4C2414yes—
945(C2×D43)⋊C4C2414yes—
946(C2×D43)⋊C4C2414yes—
947(C2×D43)⋊C4C2414yes—
948(C2×D43)⋊C4C2414yes—
949(C2×D43)⋊C4C2414yes—
950(C2×D43)⋊C4C2414yes—
951(C2×D43)⋊C4C2414yes—
952(C2×D43)⋊C4C2414yes—
953(C2×D43)⋊C4C2414yes—
954(C2×D43)⋊C4C2414yes—
955(C2×D43)⋊C4C2414yes—
956(C2×D43)⋊C4C2414yes—
957(C2×D43)⋊C4C2414yes—
958(C2×D43)⋊C4C2414yes—
959(C2×D43)⋊C4C2414yes—
960C4⋊Dic43C2412yes—
961C4⋊Dic43C2412yes—
962C4⋊Dic43C2414yes—
963C4⋊Dic43C2412yes—
964C4⋊Dic43C2412yes—
965C4⋊Dic43C2412yes—
966C4⋊Dic43C2411yescharacteristic
967C4⋊Dic43C2411yescharacteristic
968C4⋊Dic43C2412yes—
969C4⋊Dic43C2414yes—
970C4⋊Dic43C2414yes—
971C4⋊Dic43C2414yes—
972Dic43⋊C4C2412yes—
973Dic43⋊C4C2412yes—
974Dic43⋊C4C2414yes—
975Dic43⋊C4C2412yes—
976Dic43⋊C4C2414yes—
977Dic43⋊C4C2414yes—
978Dic43⋊C4C2412yes—
979Dic43⋊C4C2412yes—
980Dic43⋊C4C2412yes—
981Dic43⋊C4C2412yes—
982Dic43⋊C4C2414yes—
983Dic43⋊C4C2412yes—
984Dic43⋊C4C2412yes—
985Dic43⋊C4C2414yes—
986Dic43⋊C4C2414yes—
987Dic43⋊C4C2412yes—
988Dic43⋊C4C2414yes—
989Dic43⋊C4C2414yes—
990Dic43⋊C4C2414yes—
991Dic43⋊C4C2414yes—
992C4×Dic43C2411yescharacteristic
993C4×Dic43C2411yescharacteristic
994C4×Dic43C2411yescharacteristic
995C4×Dic43C2411yescharacteristic
996C4×Dic43C2411yescharacteristic
997C4×Dic43C2411yescharacteristic
998C4×Dic43C2411yescharacteristic
999C4×Dic43C2411yescharacteristic
1000C4×Dic43C2411yescharacteristic
1001C4×Dic43C2411yescharacteristic
1002C4×Dic43C2411yescharacteristic
1003C4×Dic43C2411yescharacteristic
1004C4×Dic43C2412yes—
1005C4×Dic43C2412yes—
1006C4×Dic43C2412yes—
1007C4×Dic43C2414yes—
1008C4×Dic43C2414yes—
1009C4×Dic43C2414yes—
1010C4×Dic43C2414yes—
1011C4×Dic43C2414yes—
1012C23×C43C2512yes—
1013C23×C43C2514yes—
1014C23×C43C2511yescharacteristic
1015C22×D43—24no—
1016C22×D43—28no—
1017C22×D43—24no—
1018C22×D43—41no—
1019C22×D43—41no—
1020C22×D43—42no—
1021C22×D43—42no—
1022C22×D43—42no—
1023C22×D43—44no—
1024C22×D43—44no—
1025C22×D43—42no—
1026C22×D43—44no—
1027C22×D43—44no—
1028C22×D43—44no—
1029C22×D43—44no—
1030C22×D43—44no—
1031C22×D43—44no—
1032C22×D43H(5,𝔽2)14yes—
1033C22×D43C2514yes—
1034C22×D43C2512yes—
1035C22×D43C2514yes—
1036C22×D43C2511yescharacteristic
1037C22×D43C2511yescharacteristic
1038Q8×C43—42no—
1039Q8×C43—41no—
1040Q8×C43—44no—
1041D4×C43—24no—
1042D4×C43—28no—
1043D4×C43—24no—
1044D4×C43—44no—
1045D4×C43—42no—
1046D4×C43—41no—
1047D4×C43—44no—
1048D4×C43—42no—
1049C2×C4×C43—22no—
1050C2×C4×C43—24no—
1051C2×C4×C43—22no—
1052C2×C4×C43—24no—
1053C2×C4×C43—44no—
1054C2×C4×C43—41no—
1055C2×C4×C43—42no—
1056C2×C4×C43—44no—
1057C2×C4×C43—44no—
1058C2×C4×C43—44no—
1059C2×C4×C43C2512yes—
1060C2×C4×C43C2514yes—
1061C2×C4×C43C2511yescharacteristic
1062C2×C4×C43C2511yescharacteristic
1063C2×C4×C43C2511yescharacteristic
1064C2×C4×C43C2511yescharacteristic
1065C2×C4×C43C2511yescharacteristic
1066C2×C4×C43C2512yes—
1067C2×C4×C43C2514yes—
1068C2×C4×C43C2514yes—
1069C2×C4×C43C2512yes—
1070C2×C4×C43C2511yescharacteristic
1071C22⋊D43—24no—
1072C22⋊D43—28no—
1073C22⋊D43—24no—
1074C22⋊D43—28no—
1075C22⋊D43—28no—
1076C22⋊D43—24no—
1077C22⋊D43—44no—
1078C22⋊D43—44no—
1079C22⋊D43—44no—
1080C22⋊D43—44no—
1081C22⋊D43—44no—
1082C22⋊D43—44no—
1083C22⋊D43—44no—
1084C22⋊D43—44no—
1085C2×Dic43—22no—
1086C2×Dic43—22no—
1087C2×Dic43—42no—
1088C2×Dic43—44no—
1089C2×Dic43—42no—
1090C2×Dic43—41no—
1091C2×Dic43—44no—
1092C2×Dic43C2511yescharacteristic
1093C2×Dic43C2511yescharacteristic
1094C2×Dic43C2512yes—
1095C2×Dic43C2511yescharacteristic
1096C2×Dic43C2511yescharacteristic
1097C2×Dic43C2511yescharacteristic
1098C2×Dic43C2514yes—
1099C2×Dic43C2512yes—
1100C2×Dic43C2512yes—
1101C2×Dic43C2514yes—
1102C2×Dic43C2511yescharacteristic
1103D172—28no—
1104D172—28no—
1105D172—24no—
1106D172—28no—
1107D172—24no—
1108D172—24no—
1109D172—44no—
1110D172—42no—
1111D172—44no—
1112D172—44no—
1113D172—44no—
1114D172—44no—
1115D172—42no—
1116D172—41no—
1117D172—44no—
1118D172—42no—
1119C4×D43—22no—
1120C4×D43—22no—
1121C4×D43—22no—
1122C4×D43—22no—
1123C4×D43—28no—
1124C4×D43—24no—
1125C4×D43—22no—
1126C4×D43—22no—
1127C4×D43—24no—
1128C4×D43—28no—
1129C4×D43—22no—
1130C4×D43—22no—
1131C4×D43—41no—
1132C4×D43—42no—
1133C4×D43—42no—
1134C4×D43—41no—
1135C4×D43—41no—
1136C4×D43—44no—
1137C4×D43—41no—
1138C4×D43—44no—
1139C4×D43—44no—
1140C4×D43—44no—
1141C4×D43—44no—
1142C4×D43—44no—
1143C4×D43—44no—
1144C4×D43—44no—
1145C4×D43—44no—
1146C4×D43—42no—
1147Dic86—24no—
1148Dic86—24no—
1149Dic86—42no—
1150Dic86—44no—
1151Dic86—44no—
1152Dic86—42no—
1153Dic86—41no—
1154#62822—431nomaximal, Sylow
1155C22×C43—21no—
1156C22×C43—21no—
1157C22×C43—22no—
1158C22×C43—24no—
1159C22×C43—22no—
1160C22×C43—22no—
1161C22×C43—24no—
1162C22×C43—24no—
1163C22×C43C2×H(5,𝔽2)12yes—
1164C22×C43C2611yescharacteristic
1165C2×D43—21no—
1166C2×D43—21no—
1167C2×D43—21no—
1168C2×D43—21no—
1169C2×D43—24no—
1170C2×D43—22no—
1171C2×D43—24no—
1172C2×D43—24no—
1173C2×D43—22no—
1174C2×D43—24no—
1175C2×D43—22no—
1176C2×D43—24no—
1177C2×D43—24no—
1178C2×D43—44no—
1179C2×D43—88no—
1180C2×D43—84no—
1181C2×D43—84no—
1182C2×D43—164no—
1183C2×D43—164no—
1184C2×D43C2×H(5,𝔽2)12yes—
1185C2×D43C2×H(5,𝔽2)12yes—
1186C4×C43—21no—
1187C4×C43—24no—
1188C4×C43—24no—
1189C4×C43—21no—
1190C4×C43—22no—
1191C4×C43—22no—
1192C4×C43—21no—
1193C4×C43—21no—
1194C4×C43—24no—
1195C4×C43—21no—
1196C4×C43—22no—
1197C4×C43#58512yes—
1198Dic43—21no—
1199Dic43—24no—
1200Dic43—22no—
1201Dic43—21no—
1202Dic43—22no—
1203Dic43—24no—
1204Dic43—21no—
1205Dic43—22no—
1206Dic43—21no—
1207Dic43—21no—
1208Dic43#58512yes—
1209#3560—434no—
1210#3560—432no—
1211#3560—432no—
1212#3559—432no—
1213#3559—431no—
1214#3559D4311yescharacteristic, complemented
1215#3558—432no—
1216#3558—431no—
1217#3558—431no—
1218#3545—432no—
1219#3545—432no—
1220#3544—432no—
1221#3543—432no—
1222#3522—432no—
1223#3522—432no—
1224#3519—432no—
1225#3519—432no—
1226#3513—432no—
1227#3513—432no—
1228#3513—434no—
1229#3505—432no—
1230#3505—432no—
1231#3496—432no—
1232#3496—432no—
1233#3494—434no—
1234#3494—432no—
1235#3494—432no—
1236#3485—434no—
1237C2×#532—431no—
1238C2×#529—431no—
1239C2×#529—431no—
1240C2×C43—22no—
1241C2×C43—42no—
1242C2×C43—44no—
1243C2×C43C22×H(5,𝔽2)11yescharacteristic
1244C2×C43C2×#58511yescharacteristic
1245C2×C43C2×#58511yescharacteristic
1246D43—22no—
1247D43—22no—
1248D43—44no—
1249D43—44no—
1250D43—42no—
1251C2×H(5,𝔽2)—434no—
1252C22×#41—432no—
1253#563—434no—
1254#563—432no—
1255#563—434no—
1256#563C2×D4312yescomplemented
1257#562—432no—
1258#562—432no—
1259#562—432no—
1260#562C2×D4312yescomplemented
1261H(3,𝔽4)—432no—
1262H(3,𝔽4)—432no—
1263#560—434no—
1264#560—434no—
1265#559—434no—
1266#559—432no—
1267#559—432no—
1268#559—432no—
1269Q82—432no—
1270#555—434no—
1271#555—434no—
1272#555—432no—
1273#554—432no—
1274#554—432no—
1275#554—434no—
1276#554—432no—
1277#554C2×D4312yescomplemented
1278#553—434no—
1279#553—434no—
1280#553—434no—
1281#553—434no—
1282#553—432no—
1283#553—434no—
1284#553—434no—
1285#553—434no—
1286#553—434no—
1287#553—434no—
1288#553—434no—
1289#553—432no—
1290#553C2×D4312yescomplemented
1291#553C2×D4312yescomplemented
1292#552—434no—
1293#552—432no—
1294#552—432no—
1295#551—434no—
1296#551—434no—
1297#551—434no—
1298#551—434no—
1299#551—434no—
1300#551—434no—
1301#551—434no—
1302#551—434no—
1303#551—434no—
1304#551—434no—
1305#550—432no—
1306#550—432no—
1307#548—434no—
1308#548—432no—
1309#548—432no—
1310#547—434no—
1311#547—434no—
1312#547—432no—
1313#547—434no—
1314#547—434no—
1315#547—434no—
1316#547—434no—
1317#547—434no—
1318#547—434no—
1319#547—434no—
1320#547—432no—
1321#547—432no—
1322#547C2×D4314yescomplemented
1323#547C2×D4312yescomplemented
1324#546—434no—
1325#546—434no—
1326#546—434no—
1327#546—434no—
1328#546—434no—
1329#546—434no—
1330#546—434no—
1331#546—434no—
1332#546—434no—
1333#546—434no—
1334#546—434no—
1335#546—434no—
1336#546—434no—
1337#546—434no—
1338#546—434no—
1339#546—434no—
1340#546—432no—
1341#546—434no—
1342#546—434no—
1343#546—432no—
1344#546—432no—
1345#546—432no—
1346D42—432no—
1347D42—434no—
1348D42—432no—
1349D42—434no—
1350D42—432no—
1351D42—432no—
1352D42—432no—
1353#544—434no—
1354#544—432no—
1355#544C2×D4312yescomplemented
1356#542—432no—
1357#542—432no—
1358#542—434no—
1359#542—434no—
1360#542—434no—
1361#542—434no—
1362#542—434no—
1363#542—434no—
1364#542—432no—
1365#542—432no—
1366#540—432no—
1367#540—432no—
1368#540—434no—
1369#540—434no—
1370#540—432no—
1371#540C2×D4312yescomplemented
1372#539—434no—
1373#539—434no—
1374#539—434no—
1375#539—434no—
1376#539—432no—
1377#539C2×D4312yescomplemented
1378#539C2×D4314yescomplemented
1379#538—434no—
1380#538—434no—
1381#538—434no—
1382#538—434no—
1383#538—434no—
1384#538—432no—
1385#538—434no—
1386#538—432no—
1387#538—434no—
1388#538—434no—
1389#538—434no—
1390#537—434no—
1391#537—432no—
1392#537C2×D4312yescomplemented
1393#536—434no—
1394#536—434no—
1395#535—432no—
1396#535—434no—
1397#535—432no—
1398#534—434no—
1399#534—434no—
1400#534—434no—
1401#534—434no—
1402#534—434no—
1403#534—432no—
1404#534—432no—
1405#532—432no—
1406#532—434no—
1407#532—431no—
1408#532—432no—
1409#532—431no—
1410#532—432no—
1411#532—432no—
1412#532—432no—
1413#532—432no—
1414#532—432no—
1415#532—432no—
1416#532—431no—
1417#532C2×D4311yescharacteristic, complemented
1418C2×C4⋊Q8—431no—
1419C2×#127—431no—
1420#529—432no—
1421#529—432no—
1422#529—432no—
1423#529—432no—
1424#529—432no—
1425#529—432no—
1426#529—431no—
1427#529—432no—
1428#529—432no—
1429#529—432no—
1430#529—432no—
1431#529—431no—
1432#529—432no—
1433#529—434no—
1434#529—431no—
1435#529—431no—
1436#529—431no—
1437#529—432no—
1438#529—431no—
1439#529—432no—
1440#529—432no—
1441#529—431no—
1442#529C2×D4311yescharacteristic, complemented
1443C2×#126—432no—
1444C2×#126—432no—
1445C2×#125—431no—
1446C2×#125C2×D4311yescharacteristic, complemented
1447C2×#124—431no—
1448C2×#124—432no—
1449C2×#124—431no—
1450#525—434no—
1451#525—432no—
1452#525—434no—
1453#525—434no—
1454#525—432no—
1455C2×#123—432no—
1456C2×#123—434no—
1457C2×#123—432no—
1458C2×#123—434no—
1459C2×C22⋊Q8—431no—
1460C2×C22⋊Q8—431no—
1461C2×#121—431no—
1462C2×#121—432no—
1463C2×#121—432no—
1464C2×#121—434no—
1465C2×#121—432no—
1466C2×#121—431no—
1467C2×#121—432no—
1468#520—432no—
1469#520—434no—
1470#520—432no—
1471#518—434no—
1472#518—434no—
1473#518—432no—
1474#518—432no—
1475C2×C4×Q8—431no—
1476C2×C4×Q8—431no—
1477C2×C4×D4—432no—
1478C2×C4×D4—431no—
1479C2×C4×D4—432no—
1480C2×C4×D4—432no—
1481C2×C4×D4—432no—
1482C2×C4×D4—431no—
1483C2×#117—432no—
1484C2×#117—432no—
1485C22×C42—431no—
1486C43#6282211yescharacteristic, complemented, Sylow
1487H(5,𝔽2)—17216no—
1488C2×#41—434no—
1489C2×#41—432no—
1490C2×#41—434no—
1491C2×#41—432no—
1492C2×#41—434no—
1493C2×#41—432no—
1494C2×#41—434no—
1495C2×#41—432no—
1496C2×#41—434no—
1497C2×#41—434no—
1498C2×#41—432no—
1499C2×#41—434no—
1500C2×#41—434no—
1501C2×#41—1728no—
1502C2×#41C22×D4312yes—
1503C2×#41C22×D4314yes—
1504C22×Q8—431no—
1505C22×Q8—432no—
1506C22×Q8—431no—
1507C22×D4—432no—
1508C22×D4—434no—
1509C22×D4—431no—
1510C22×D4—432no—
1511C22×D4—432no—
1512C22×D4—434no—
1513C22×D4—432no—
1514C22×D4—434no—
1515C22×D4—434no—
1516C22×D4—434no—
1517C22×D4—434no—
1518C22×D4—432no—
1519C22×D4—432no—
1520C22×D4—431no—
1521C22×D4—432no—
1522C22×D4—434no—
1523C22×D4—434no—
1524C23×C4—431no—
1525C23×C4—432no—
1526C23×C4—432no—
1527C23×C4—431no—
1528C23×C4—431no—
1529C23×C4—434no—
1530C4⋊Q8—432no—
1531C4⋊Q8—434no—
1532C4⋊Q8—434no—
1533C4⋊Q8—432no—
1534C4⋊Q8—432no—
1535C4⋊Q8—432no—
1536C4⋊Q8—434no—
1537C4⋊Q8—434no—
1538C4⋊Q8—431no—
1539C4⋊Q8C22×D4311yescharacteristic
1540C4⋊Q8C22×D4312yes—
1541C4⋊Q8C22×D4314yes—
1542#127—432no—
1543#127—432no—
1544#127—432no—
1545#127—434no—
1546#127—432no—
1547#127—431no—
1548#127—432no—
1549#127C22×D4311yescharacteristic
1550#126—434no—
1551#126—432no—
1552#126—434no—
1553#126—434no—
1554#126—432no—
1555#126—434no—
1556#126—432no—
1557#126—434no—
1558#126—434no—
1559#126—434no—
1560#126—434no—
1561#126—434no—
1562#126—434no—
1563#126—434no—
1564#126—432no—
1565#126—432no—
1566#126—432no—
1567#126—434no—
1568#126—434no—
1569#126—434no—
1570#126—432no—
1571#126C22×D4312yes—
1572#126C22×D4314yes—
1573#126C22×D4314yes—
1574#125—431no—
1575#125—431no—
1576#125—432no—
1577#125—432no—
1578#125—434no—
1579#125—432no—
1580#125—434no—
1581#125—434no—
1582#125—431no—
1583#125—434no—
1584#125C22×D4311yescharacteristic
1585#125C22×D4312yes—
1586#125C22×D4312yes—
1587#125C22×D4312yes—
1588#125C22×D4312yes—
1589#125C22×D4312yes—
1590#125C22×D4314yes—
1591#124—431no—
1592#124—432no—
1593#124—434no—
1594#124—434no—
1595#124—434no—
1596#124—434no—
1597#124—431no—
1598#124—432no—
1599#124—432no—
1600#124—434no—
1601#124—432no—
1602#124—432no—
1603#124—434no—
1604#124—434no—
1605#124—434no—
1606#124—434no—
1607#124—434no—
1608#124—434no—
1609#124—434no—
1610#124—434no—
1611#124—434no—
1612#124—432no—
1613#124—432no—
1614#124—432no—
1615#124—431no—
1616#124—432no—
1617#124—432no—
1618#124—432no—
1619#124—434no—
1620#124C22×D4311yescharacteristic
1621#124C22×D4312yes—
1622#123—432no—
1623#123—434no—
1624#123—432no—
1625#123—434no—
1626#123—434no—
1627#123—434no—
1628#123—434no—
1629#123—432no—
1630#123—434no—
1631#123—432no—
1632#123—434no—
1633#123—434no—
1634#123—434no—
1635#123—434no—
1636#123—434no—
1637#123—434no—
1638#123—434no—
1639#123—434no—
1640#123—434no—
1641#123—434no—
1642#123—434no—
1643#123—434no—
1644#123—434no—
1645#123—434no—
1646#123—434no—
1647#123—434no—
1648#123—434no—
1649#123—434no—
1650#123—434no—
1651#123—434no—
1652#123—432no—
1653#123—432no—
1654#123—432no—
1655#123—434no—
1656#123—434no—
1657#123—434no—
1658#123—434no—
1659#123—434no—
1660#123—434no—
1661#123—434no—
1662#123—434no—
1663#123—434no—
1664#123—434no—
1665#123—434no—
1666#123—434no—
1667#123C22×D4312yes—
1668#123C22×D4314yes—
1669#123C22×D4314yes—
1670#123C22×D4314yes—
1671#123C22×D4314yes—
1672#123C22×D4314yes—
1673#123C22×D4314yes—
1674C22⋊Q8—431no—
1675C22⋊Q8—434no—
1676C22⋊Q8—434no—
1677C22⋊Q8—434no—
1678C22⋊Q8—431no—
1679C22⋊Q8—432no—
1680C22⋊Q8—434no—
1681C22⋊Q8—432no—
1682C22⋊Q8—432no—
1683C22⋊Q8—432no—
1684C22⋊Q8—432no—
1685C22⋊Q8—431no—
1686C22⋊Q8—432no—
1687C22⋊Q8—434no—
1688C22⋊Q8—434no—
1689C22⋊Q8—432no—
1690C22⋊Q8—434no—
1691C22⋊Q8—434no—
1692C22⋊Q8—434no—
1693C22⋊Q8—434no—
1694C22⋊Q8—434no—
1695C22⋊Q8—434no—
1696C22⋊Q8—434no—
1697C22⋊Q8—434no—
1698C22⋊Q8—434no—
1699C22⋊Q8—434no—
1700C22⋊Q8—434no—
1701C22⋊Q8—432no—
1702C22⋊Q8—434no—
1703C22⋊Q8—434no—
1704C22⋊Q8C22×D4311yescharacteristic
1705C22⋊Q8C22×D4314yes—
1706C22⋊Q8C22×D4314yes—
1707C22⋊Q8C22×D4314yes—
1708C22⋊Q8C22×D4314yes—
1709C22⋊Q8C22×D4314yes—
1710C22⋊Q8C22×D4314yes—
1711#121—432no—
1712#121—432no—
1713#121—434no—
1714#121—431no—
1715#121—432no—
1716#121—434no—
1717#121—434no—
1718#121—434no—
1719#121—434no—
1720#121—434no—
1721#121—434no—
1722#121—434no—
1723#121—434no—
1724#121—434no—
1725#121—434no—
1726#121—431no—
1727#121—432no—
1728#121—432no—
1729#121—434no—
1730#121—432no—
1731#121—434no—
1732#121—434no—
1733#121—434no—
1734#121—434no—
1735#121—432no—
1736#121—432no—
1737#121—432no—
1738#121—432no—
1739#121—431no—
1740#121—432no—
1741#121—432no—
1742#121—434no—
1743#121—434no—
1744#121—434no—
1745#121—432no—
1746#121—432no—
1747#121—434no—
1748#121—432no—
1749#121—434no—
1750#121—434no—
1751#121—434no—
1752#121—434no—
1753#121—434no—
1754#121—434no—
1755#121—434no—
1756#121—432no—
1757#121—434no—
1758#121—434no—
1759#121—434no—
1760#121—434no—
1761#121—434no—
1762#121—434no—
1763#121—434no—
1764#121—434no—
1765#121—434no—
1766#121—434no—
1767#121—434no—
1768#121—434no—
1769#121C22×D4311yescharacteristic
1770#121C22×D4312yes—
1771#121C22×D4312yes—
1772#121C22×D4314yes—
1773#121C22×D4312yes—
1774#121C22×D4312yes—
1775#121C22×D4314yes—
1776#121C22×D4314yes—
1777#121C22×D4314yes—
1778#120—434no—
1779#120—434no—
1780#120—434no—
1781#120—434no—
1782#120—434no—
1783#120—434no—
1784#120—434no—
1785#120—434no—
1786#120—434no—
1787#120—434no—
1788#120—434no—
1789#120—434no—
1790#120—434no—
1791#120—434no—
1792#120—434no—
1793#120—434no—
1794#120—434no—
1795#120—434no—
1796#120—434no—
1797#120—434no—
1798C4×Q8—431no—
1799C4×Q8—432no—
1800C4×Q8—432no—
1801C4×Q8—431no—
1802C4×Q8—432no—
1803C4×Q8—432no—
1804C4×Q8—432no—
1805C4×Q8—434no—
1806C4×Q8—432no—
1807C4×Q8—432no—
1808C4×Q8—431no—
1809C4×Q8—432no—
1810C4×Q8C22×D4311yescharacteristic
1811C4×D4—432no—
1812C4×D4—431no—
1813C4×D4—432no—
1814C4×D4—432no—
1815C4×D4—434no—
1816C4×D4—434no—
1817C4×D4—434no—
1818C4×D4—432no—
1819C4×D4—432no—
1820C4×D4—432no—
1821C4×D4—434no—
1822C4×D4—434no—
1823C4×D4—434no—
1824C4×D4—434no—
1825C4×D4—434no—
1826C4×D4—434no—
1827C4×D4—434no—
1828C4×D4—434no—
1829C4×D4—434no—
1830C4×D4—434no—
1831C4×D4—434no—
1832C4×D4—432no—
1833C4×D4—432no—
1834C4×D4—431no—
1835C4×D4—432no—
1836C4×D4—434no—
1837C4×D4—434no—
1838C4×D4—432no—
1839C4×D4—432no—
1840C4×D4—434no—
1841C4×D4—432no—
1842C4×D4—434no—
1843C4×D4—432no—
1844C4×D4—434no—
1845C4×D4—434no—
1846C4×D4—432no—
1847C4×D4—432no—
1848C4×D4—434no—
1849C4×D4—432no—
1850C4×D4—434no—
1851C4×D4—432no—
1852C4×D4—432no—
1853C4×D4—432no—
1854C4×D4—434no—
1855C4×D4—434no—
1856C4×D4—434no—
1857C4×D4—434no—
1858C4×D4—434no—
1859C4×D4—434no—
1860C4×D4—434no—
1861C4×D4—432no—
1862C4×D4—431no—
1863C4×D4—432no—
1864C4×D4—432no—
1865C4×D4—434no—
1866C4×D4—434no—
1867C4×D4—434no—
1868C4×D4—434no—
1869C4×D4—432no—
1870C4×D4C22×D4312yes—
1871C4×D4C22×D4311yescharacteristic
1872C4×D4C22×D4312yes—
1873C4×D4C22×D4312yes—
1874C4×D4C22×D4314yes—
1875C4×D4C22×D4314yes—
1876C4×D4C22×D4312yes—
1877C4×D4C22×D4312yes—
1878#117—432no—
1879#117—434no—
1880#117—434no—
1881#117—434no—
1882#117—432no—
1883#117—434no—
1884#117—432no—
1885#117—434no—
1886#117—434no—
1887#117—432no—
1888#117—434no—
1889#117—434no—
1890#117—432no—
1891#117—432no—
1892#117—434no—
1893#117—432no—
1894#117—432no—
1895#117—434no—
1896#117—434no—
1897#117C22×D4312yes—
1898#117C22×D4312yes—
1899C2×C4⋊C4—432no—
1900C2×C4⋊C4—432no—
1901C2×C4⋊C4—434no—
1902C2×C4⋊C4—432no—
1903C2×C4⋊C4—432no—
1904C2×C4⋊C4—432no—
1905C2×C4⋊C4—432no—
1906C2×C4⋊C4—431no—
1907C2×C4⋊C4—432no—
1908C2×C4⋊C4—431no—
1909C2×C4⋊C4—432no—
1910C2×C4⋊C4—434no—
1911C2×C4⋊C4—432no—
1912C2×C4⋊C4—434no—
1913C2×C4⋊C4—434no—
1914C2×C4⋊C4C22×D4312yes—
1915C2×C4⋊C4C22×D4311yescharacteristic
1916C2×C4⋊C4C22×D4312yes—
1917C2×C4⋊C4C22×D4311yescharacteristic
1918C2×C4⋊C4C22×D4312yes—
1919C2×C4⋊C4C22×D4314yes—
1920C2×C22⋊C4—432no—
1921C2×C22⋊C4—432no—
1922C2×C22⋊C4—432no—
1923C2×C22⋊C4—432no—
1924C2×C22⋊C4—432no—
1925C2×C22⋊C4—434no—
1926C2×C22⋊C4—434no—
1927C2×C22⋊C4—434no—
1928C2×C22⋊C4—434no—
1929C2×C22⋊C4—432no—
1930C2×C22⋊C4—432no—
1931C2×C22⋊C4—432no—
1932C2×C22⋊C4—434no—
1933C2×C22⋊C4—434no—
1934C2×C22⋊C4—432no—
1935C2×C22⋊C4—432no—
1936C2×C22⋊C4—434no—
1937C2×C22⋊C4—434no—
1938C2×C22⋊C4—434no—
1939C2×C22⋊C4—434no—
1940C2×C22⋊C4—434no—
1941C2×C22⋊C4—434no—
1942C2×C42—431no—
1943C2×C42—432no—
1944C2×C42—431no—
1945C2×C42—431no—
1946C2×C42—431no—
1947C2×C42—432no—
1948C2×C42—431no—
1949C2×C42—431no—
1950C2×C42—431no—
1951C2×C42—431no—
1952C2×C42—431no—
1953C2×C42—431no—
1954C2×C42—431no—
1955C2×C42C22×D4311yescharacteristic
1956C24—431no—
1957C24—434no—
1958C24—432no—
1959C24—432no—
1960C24—434no—
1961C24—434no—
1962#41—44no—
1963#41—48no—
1964#41—1724no—
1965#41—1728no—
1966#41—1724no—
1967#41—1728no—
1968#41—1728no—
1969#41—1728no—
1970#41—1728no—
1971#41—1728no—
1972#41—1724no—
1973#41—1724no—
1974#41—1724no—
1975#41—1728no—
1976#41—1728no—
1977C2×Q8—432no—
1978C2×Q8—432no—
1979C2×Q8—431no—
1980C2×Q8—432no—
1981C2×Q8—434no—
1982C2×Q8—434no—
1983C2×Q8—432no—
1984C2×Q8—1722no—
1985C2×Q8—1724no—
1986C2×Q8—1722no—
1987C2×Q8C23×D4311yescharacteristic
1988C2×Q8C23×D4314yes—
1989C2×Q8C23×D4312yes—
1990C2×D4—432no—
1991C2×D4—434no—
1992C2×D4—432no—
1993C2×D4—434no—
1994C2×D4—434no—
1995C2×D4—432no—
1996C2×D4—434no—
1997C2×D4—434no—
1998C2×D4—434no—
1999C2×D4—434no—
2000C2×D4—434no—
2001C2×D4—434no—
2002C2×D4—434no—
2003C2×D4—434no—
2004C2×D4—432no—
2005C2×D4—432no—
2006C2×D4—434no—
2007C2×D4—432no—
2008C2×D4—434no—
2009C2×D4—434no—
2010C2×D4—434no—
2011C2×D4—431no—
2012C2×D4—432no—
2013C2×D4—434no—
2014C2×D4—434no—
2015C2×D4—432no—
2016C2×D4—434no—
2017C2×D4—432no—
2018C2×D4—434no—
2019C2×D4—434no—
2020C2×D4—868no—
2021C2×D4—8616no—
2022C2×D4—868no—
2023C2×D4—1722no—
2024C2×D4—1724no—
2025C2×D4—1728no—
2026C2×D4—1728no—
2027C2×D4—1724no—
2028C2×D4—1724no—
2029C2×D4—1724no—
2030C2×D4—1722no—
2031C2×D4—1728no—
2032C2×D4—1724no—
2033C2×D4—1728no—
2034C2×D4—1728no—
2035C2×D4—1728no—
2036C2×D4—1728no—
2037C2×D4C23×D4312yes—
2038C2×D4C23×D4314yes—
2039C2×D4C23×D4312yes—
2040C2×D4C23×D4311yescharacteristic
2041C2×D4C23×D4314yes—
2042C2×D4C23×D4312yes—
2043C2×D4C23×D4312yes—
2044C2×D4C23×D4314yes—
2045C22×C4—431no—
2046C22×C4—431no—
2047C22×C4—431no—
2048C22×C4—432no—
2049C22×C4—434no—
2050C22×C4—432no—
2051C22×C4—434no—
2052C22×C4—431no—
2053C22×C4—431no—
2054C22×C4—431no—
2055C22×C4—431no—
2056C22×C4—431no—
2057C22×C4—431no—
2058C22×C4—431no—
2059C22×C4—431no—
2060C22×C4—432no—
2061C22×C4—434no—
2062C22×C4—434no—
2063C22×C4—432no—
2064C22×C4—431no—
2065C22×C4—431no—
2066C22×C4—431no—
2067C22×C4—431no—
2068C22×C4—432no—
2069C22×C4—432no—
2070C22×C4—434no—
2071C22×C4—434no—
2072C22×C4—434no—
2073C22×C4—432no—
2074C22×C4—434no—
2075C22×C4—434no—
2076C22×C4—434no—
2077C22×C4—434no—
2078C22×C4—434no—
2079C22×C4—434no—
2080C22×C4—864no—
2081C22×C4—1722no—
2082C22×C4—1724no—
2083C22×C4—1722no—
2084C22×C4—1724no—
2085C22×C4—1728no—
2086C22×C4C23×D4311yescharacteristic
2087C22×C4C23×D4311yescharacteristic
2088C22×C4C23×D4312yes—
2089C22×C4C23×D4312yes—
2090C22×C4C23×D4311yescharacteristic
2091C22×C4C23×D4312yes—
2092C22×C4C23×D4314yes—
2093C22×C4C23×D4314yes—
2094C22×C4C23×D4314yes—
2095C22×C4C23×D4314yes—
2096C4⋊C4—432no—
2097C4⋊C4—432no—
2098C4⋊C4—432no—
2099C4⋊C4—434no—
2100C4⋊C4—432no—
2101C4⋊C4—434no—
2102C4⋊C4—432no—
2103C4⋊C4—434no—
2104C4⋊C4—434no—
2105C4⋊C4—432no—
2106C4⋊C4—434no—
2107C4⋊C4—432no—
2108C4⋊C4—432no—
2109C4⋊C4—432no—
2110C4⋊C4—432no—
2111C4⋊C4—434no—
2112C4⋊C4—432no—
2113C4⋊C4—432no—
2114C4⋊C4—432no—
2115C4⋊C4—434no—
2116C4⋊C4—432no—
2117C4⋊C4—431no—
2118C4⋊C4—434no—
2119C4⋊C4—434no—
2120C4⋊C4—434no—
2121C4⋊C4—431no—
2122C4⋊C4—434no—
2123C4⋊C4—432no—
2124C4⋊C4—432no—
2125C4⋊C4—434no—
2126C4⋊C4—434no—
2127C4⋊C4—434no—
2128C4⋊C4C23×D4314yes—
2129C4⋊C4C23×D4312yes—
2130C4⋊C4C23×D4312yes—
2131C4⋊C4C23×D4314yes—
2132C4⋊C4C23×D4314yes—
2133C4⋊C4C23×D4312yes—
2134C4⋊C4C23×D4312yes—
2135C4⋊C4C23×D4312yes—
2136C4⋊C4C23×D4312yes—
2137C4⋊C4C23×D4312yes—
2138C4⋊C4C23×D4311yescharacteristic
2139C4⋊C4C23×D4311yescharacteristic
2140C4⋊C4C23×D4314yes—
2141C4⋊C4C23×D4312yes—
2142C4⋊C4C23×D4314yes—
2143C4⋊C4C23×D4314yes—
2144C4⋊C4C23×D4312yes—
2145C4⋊C4C23×D4314yes—
2146C4⋊C4C23×D4312yes—
2147C4⋊C4C23×D4314yes—
2148C22⋊C4—432no—
2149C22⋊C4—432no—
2150C22⋊C4—434no—
2151C22⋊C4—434no—
2152C22⋊C4—432no—
2153C22⋊C4—432no—
2154C22⋊C4—432no—
2155C22⋊C4—434no—
2156C22⋊C4—434no—
2157C22⋊C4—434no—
2158C22⋊C4—434no—
2159C22⋊C4—432no—
2160C22⋊C4—432no—
2161C22⋊C4—434no—
2162C22⋊C4—432no—
2163C22⋊C4—434no—
2164C22⋊C4—432no—
2165C22⋊C4—434no—
2166C22⋊C4—432no—
2167C22⋊C4—434no—
2168C22⋊C4—434no—
2169C22⋊C4—434no—
2170C22⋊C4—434no—
2171C22⋊C4—434no—
2172C22⋊C4—434no—
2173C22⋊C4—432no—
2174C22⋊C4—434no—
2175C22⋊C4—432no—
2176C22⋊C4—434no—
2177C22⋊C4—434no—
2178C22⋊C4—432no—
2179C22⋊C4—434no—
2180C22⋊C4—432no—
2181C22⋊C4—434no—
2182C22⋊C4—434no—
2183C22⋊C4—434no—
2184C22⋊C4—434no—
2185C22⋊C4—432no—
2186C22⋊C4—434no—
2187C22⋊C4—434no—
2188C22⋊C4—434no—
2189C22⋊C4—434no—
2190C22⋊C4—434no—
2191C22⋊C4—434no—
2192C22⋊C4—434no—
2193C22⋊C4—434no—
2194C22⋊C4C23×D4312yes—
2195C22⋊C4C23×D4314yes—
2196C22⋊C4C23×D4312yes—
2197C22⋊C4C23×D4312yes—
2198C22⋊C4C23×D4312yes—
2199C22⋊C4C23×D4312yes—
2200C22⋊C4C23×D4314yes—
2201C22⋊C4C23×D4314yes—
2202C22⋊C4C23×D4314yes—
2203C22⋊C4C23×D4314yes—
2204C22⋊C4C23×D4314yes—
2205C22⋊C4C23×D4314yes—
2206C42—431no—
2207C42—431no—
2208C42—431no—
2209C42—431no—
2210C42—431no—
2211C42—431no—
2212C42—431no—
2213C42—431no—
2214C42—431no—
2215C42—431no—
2216C42—431no—
2217C42—431no—
2218C42—434no—
2219C42—432no—
2220C42—432no—
2221C42—434no—
2222C42—432no—
2223C42—434no—
2224C42—434no—
2225C42—434no—
2226C42C23×D4311yescharacteristic
2227C42C23×D4311yescharacteristic
2228C42C23×D4311yescharacteristic
2229C42C23×D4311yescharacteristic
2230C42C23×D4312yes—
2231C42C23×D4314yes—
2232C23—431no—
2233C23—431no—
2234C23—434no—
2235C23—434no—
2236C23—432no—
2237C23—434no—
2238C23—868no—
2239C23—864no—
2240C23—864no—
2241C23—1722no—
2242C23—1722no—
2243C23—1722no—
2244C23—1724no—
2245C23—1722no—
2246C23—1724no—
2247C23—1721no—
2248C23—1721no—
2249C23—1724no—
2250C23—1724no—
2251C23—1724no—
2252C23—1724no—
2253C23—1724no—
2254C23—1724no—
2255C23C24×D4312yes—
2256C23C24×D4314yes—
2257C23C24×D4311yescharacteristic
2258Q8—42no—
2259Q8—41no—
2260Q8—44no—
2261Q8—864no—
2262Q8—864no—
2263Q8—1722no—
2264Q8—1724no—
2265Q8—1721no—
2266Q8—1722no—
2267Q8—1724no—
2268D4—24no—
2269D4—28no—
2270D4—24no—
2271D4—44no—
2272D4—42no—
2273D4—44no—
2274D4—42no—
2275D4—41no—
2276D4—868no—
2277D4—868no—
2278D4—864no—
2279D4—868no—
2280D4—864no—
2281D4—868no—
2282D4—864no—
2283D4—868no—
2284D4—864no—
2285D4—868no—
2286D4—864no—
2287D4—864no—
2288D4—1724no—
2289D4—1724no—
2290D4—1724no—
2291D4—1722no—
2292D4—1724no—
2293D4—1722no—
2294D4—1721no—
2295D4—1724no—
2296D4—1722no—
2297D4—1724no—
2298D4—1724no—
2299D4—1724no—
2300D4—1724no—
2301D4—1724no—
2302D4—1724no—
2303D4—1724no—
2304D4—1724no—
2305D4—1724no—
2306C2×C4—22no—
2307C2×C4—24no—
2308C2×C4—22no—
2309C2×C4—24no—
2310C2×C4—44no—
2311C2×C4—42no—
2312C2×C4—41no—
2313C2×C4—44no—
2314C2×C4—44no—
2315C2×C4—44no—
2316C2×C4—431no—
2317C2×C4—431no—
2318C2×C4—431no—
2319C2×C4—432no—
2320C2×C4—434no—
2321C2×C4—431no—
2322C2×C4—431no—
2323C2×C4—431no—
2324C2×C4—432no—
2325C2×C4—434no—
2326C2×C4—432no—
2327C2×C4—862no—
2328C2×C4—862no—
2329C2×C4—868no—
2330C2×C4—862no—
2331C2×C4—862no—
2332C2×C4—862no—
2333C2×C4—862no—
2334C2×C4—868no—
2335C2×C4—864no—
2336C2×C4—862no—
2337C2×C4—862no—
2338C2×C4—862no—
2339C2×C4—862no—
2340C2×C4—864no—
2341C2×C4—1724no—
2342C2×C4—1724no—
2343C2×C4—1724no—
2344C2×C4—1721no—
2345C2×C4—1721no—
2346C2×C4—1722no—
2347C2×C4—1722no—
2348C2×C4—1721no—
2349C2×C4—1721no—
2350C2×C4—1724no—
2351C2×C4—1724no—
2352C2×C4—1724no—
2353C2×C4—1724no—
2354C2×C4—1722no—
2355C2×C4—1724no—
2356C2×C4—1724no—
2357C2×C4—1724no—
2358C2×C4—1722no—
2359C2×C4—1721no—
2360C2×C4—1722no—
2361C2×C4—1724no—
2362C2×C4C24×D4312yes—
2363C2×C4C24×D4311yescharacteristic
2364C2×C4C24×D4311yescharacteristic
2365C2×C4C24×D4311yescharacteristic
2366C2×C4C24×D4311yescharacteristic
2367C2×C4C24×D4311yescharacteristic
2368C2×C4C24×D4314yes—
2369C2×C4C24×D4314yes—
2370C2×C4C24×D4314yes—
2371C2×C4C24×D4312yes—
2372C2×C4C24×D4312yes—
2373C2×C4C24×D4311yescharacteristic
2374C22—21no—
2375C22—21no—
2376C22—24no—
2377C22—22no—
2378C22—24no—
2379C22—22no—
2380C22—22no—
2381C22—24no—
2382C22—432no—
2383C22—432no—
2384C22—861no—
2385C22—861no—
2386C22—861no—
2387C22—861no—
2388C22—864no—
2389C22—864no—
2390C22—862no—
2391C22—864no—
2392C22—864no—
2393C22—862no—
2394C22—862no—
2395C22—864no—
2396C22—864no—
2397C22—3444no—
2398C22—3444no—
2399C22—3448no—
2400C22—1724no—
2401C22—6884no—
2402C22—6884no—
2403C22H(5,𝔽2)×D4312yes—
2404C22C25×D4311yescharacteristic
2405C4—21no—
2406C4—24no—
2407C4—21no—
2408C4—22no—
2409C4—24no—
2410C4—24no—
2411C4—22no—
2412C4—21no—
2413C4—21no—
2414C4—22no—
2415C4—21no—
2416C4—432no—
2417C4—861no—
2418C4—861no—
2419C4—862no—
2420C4—864no—
2421C4—861no—
2422C4—862no—
2423C4—861no—
2424C4—862no—
2425C4—861no—
2426C4—864no—
2427C4#1458373612yes—
2428C2—22no—
2429C2—42no—
2430C2—44no—
2431C2—862no—
2432C2—862no—
2433C2—1724no—
2434C2—1722no—
2435C2—1724no—
2436C2C2×H(5,𝔽2)×D4311yescharacteristic
2437C2#585×D4311yescharacteristic
2438C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3559C2
hypercenter#3559D43
hypocenterC43#62822
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3559

Complements

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

NH ≅ G/Ntype
1. #19149152C2semidirect
2. #19149148C2semidirect
3. #19149144C2semidirect
4. #19149132C2semidirect
5. #19149129C2semidirect
6. #19149118C2semidirect
7. #19149117C2semidirect
8. #19149111C2semidirect
9. #19148953C2semidirect
10. #19148945C2semidirect
11. #19148938C2semidirect
12. #19148924C2semidirect
13. #19148679C2semidirect
14. #19148673C2semidirect
15. #19148623C2semidirect
16. #19148620C2semidirect
17. #19148542C2semidirect
18. #19148538C2semidirect
19. #19148525C2semidirect
20. #19148427C2semidirect
21. #19148424C2semidirect
22. #19148358C2semidirect
23. #19148353C2semidirect
24. #19148333C2semidirect
25. #19148322C2semidirect
26. #19148319C2semidirect
27. #19148234C2semidirect
28. #532×D43C2semidirect
29. C2×#14583434C2semidirect
30. #529×D43C2semidirect
31. C43×#3559C2semidirect
32. C2×#13063371C22semidirect
33. C2×#41×D43C22semidirect
34. #14583653C22semidirect
35. #14583653C22semidirect
36. #14583650C22semidirect
37. #14583647C22semidirect
38. #14583647C22semidirect
39. #14583643C22semidirect
40. #14583641C22semidirect
41. #14583641C22semidirect
42. #14583639C22semidirect
43. #14583637C22semidirect
44. #14583634C22semidirect
45. #14583633C22semidirect
46. #14583632C22semidirect
47. #14583632C22semidirect
48. #14583629C22semidirect
49. #14583615C22semidirect
50. #14583613C22semidirect
51. #14583612C22semidirect
52. #14583605C22semidirect
53. #14583605C22semidirect
54. #14583604C22semidirect
55. #14583603C22semidirect
56. #14583602C22semidirect
57. #14583602C22semidirect
58. #14583602C22semidirect
59. #14583601C22semidirect
60. #14583600C22semidirect
61. #14583600C22semidirect
62. #14583599C22semidirect
63. #14583597C22semidirect
64. #14583597C22semidirect
65. #14583595C22semidirect
66. #14583594C22semidirect
67. #14583592C22semidirect
68. #14583588C22semidirect
69. #14583587C22semidirect
70. #14583581C22semidirect
71. #14583577C22semidirect
72. #14583577C22semidirect
73. #14583576C22semidirect
74. #14583576C22semidirect
75. #14583576C22semidirect
76. #14583576C22semidirect
77. #14583574C22semidirect
78. #14583574C22semidirect
79. #14583572C22semidirect
80. #14583572C22semidirect
81. #14583570C22semidirect
82. #14583567C22semidirect
83. #14583559C22semidirect
84. #14583558C22semidirect
85. #14583555C22semidirect
86. #14583552C22semidirect
87. #14583552C22semidirect
88. #14583551C22semidirect
89. #14583551C22semidirect
90. #14583551C22semidirect
91. #14583550C22semidirect
92. #14583550C22semidirect
93. #14583550C22semidirect
94. #14583550C22semidirect
95. #14583548C22semidirect
96. #14583547C22semidirect
97. #14583547C22semidirect
98. #14583546C22semidirect
99. #14583546C22semidirect
100. #14583546C22semidirect
101. #14583545C22semidirect
102. #14583545C22semidirect
103. #14583544C22semidirect
104. #14583544C22semidirect
105. #14583544C22semidirect
106. #14583541C22semidirect
107. #14583541C22semidirect
108. #14583541C22semidirect
109. #14583541C22semidirect
110. #14583541C22semidirect
111. #14583541C22semidirect
112. #14583540C22semidirect
113. #14583540C22semidirect
114. #14583540C22semidirect
115. #14583540C22semidirect
116. #14583538C22semidirect
117. #14583538C22semidirect
118. #14583537C22semidirect
119. #14583537C22semidirect
120. D4×D172C22semidirect
121. D4×D172C22semidirect
122. #14583533C22semidirect
123. #14583533C22semidirect
124. #14583533C22semidirect
125. #14583533C22semidirect
126. #14583533C22semidirect
127. #14583529C22semidirect
128. #14583526C22semidirect
129. #14583523C22semidirect
130. #14583523C22semidirect
131. #14583522C22semidirect
132. #14583520C22semidirect
133. #14583519C22semidirect
134. #14583519C22semidirect
135. #14583519C22semidirect
136. #14583519C22semidirect
137. #14583517C22semidirect
138. #14583516C22semidirect
139. #14583505C22semidirect
140. #14583505C22semidirect
141. #14583502C22semidirect
142. #14583501C22semidirect
143. #14583501C22semidirect
144. #14583498C22semidirect
145. #14583497C22semidirect
146. #14583496C22semidirect
147. #14583490C22semidirect
148. #14583490C22semidirect
149. #14583489C22semidirect
150. #14583489C22semidirect
151. #14583488C22semidirect
152. #14583488C22semidirect
153. #14583488C22semidirect
154. #14583486C22semidirect
155. #14583486C22semidirect
156. #14583485C22semidirect
157. #14583485C22semidirect
158. #14583482C22semidirect
159. #14583481C22semidirect
160. #14583480C22semidirect
161. #14583479C22semidirect
162. #14583474C22semidirect
163. #14583472C22semidirect
164. #14583468C22semidirect
165. #14583465C22semidirect
166. #14583462C22semidirect
167. #14583460C22semidirect
168. #14583460C22semidirect
169. #14583460C22semidirect
170. #14583457C22semidirect
171. #14583457C22semidirect
172. #14583457C22semidirect
173. #14583457C22semidirect
174. #14583450C22semidirect
175. #14583450C22semidirect
176. #14583449C22semidirect
177. #14583448C22semidirect
178. #14583447C22semidirect
179. #14583446C22semidirect
180. #14583446C22semidirect
181. #14583446C22semidirect
182. #14583445C22semidirect
183. #14583445C22semidirect
184. #14583444C22semidirect
185. #14583444C22semidirect
186. C4⋊Q8×D43C22semidirect
187. #127×D43C22semidirect
188. #14583436C22semidirect
189. #14583435C22semidirect
190. #14583434C22semidirect
191. #14583434C22semidirect
192. #14583434C22semidirect
193. #14583434C22semidirect
194. #14583434C22semidirect
195. #14583434C22semidirect
196. #14583434C22semidirect
197. #14583434C22semidirect
198. #14583434C22semidirect
199. #14583434C22semidirect
200. #14583433C22semidirect
201. #14583432C22semidirect
202. #14583431C22semidirect
203. #14583431C22semidirect
204. #14583430C22semidirect
205. #14583429C22semidirect
206. #14583428C22semidirect
207. #14583427C22semidirect
208. #14583426C22semidirect
209. #14583426C22semidirect
210. C2×#13063320C22semidirect
211. #126×D43C22semidirect
212. #125×D43C22semidirect
213. C2×#13063313C22semidirect
214. #124×D43C22semidirect
215. #124×D43C22semidirect
216. #14583412C22semidirect
217. #14583411C22semidirect
218. #14583409C22semidirect
219. #14583408C22semidirect
220. #14583408C22semidirect
221. C2×#13063310C22semidirect
222. C2×#13063310C22semidirect
223. #123×D43C22semidirect
224. #123×D43C22semidirect
225. C2×#13063305C22semidirect
226. C22⋊Q8×D43C22semidirect
228. C2×#13063300C22semidirect
230. #121×D43C22semidirect
231. #121×D43C22semidirect
232. #121×D43C22semidirect
233. #121×D43C22semidirect
234. #14583380C22semidirect
235. #14583380C22semidirect
236. #14583378C22semidirect
237. #14583373C22semidirect
238. #14583371C22semidirect
239. #14583371C22semidirect
240. #14583371C22semidirect
241. C2×#13063290C22semidirect
242. C4×Q8×D43C22semidirect
243. C2×#13063287C22semidirect
244. C2×#13063287C22semidirect
245. C4×D4×D43C22semidirect
246. C4×D4×D43C22semidirect
247. C4×D4×D43C22semidirect
248. C4×D4×D43C22semidirect
249. C2×#13063283C22semidirect
250. #117×D43C22semidirect
251. C2×C42×D43C22semidirect
252. C43×#563C22semidirect
253. C43×#562C22semidirect
254. C43×#554C22semidirect
255. C43×#553C22semidirect
256. C43×#553C22semidirect
257. C43×#547C22semidirect
258. C43×#547C22semidirect
259. C43×#544C22semidirect
260. C43×#540C22semidirect
261. C43×#539C22semidirect
262. C43×#539C22semidirect
263. C43×#537C22semidirect
264. C43×#532C22semidirect
265. C43×#529C22semidirect
266. C2×#125×C43C22semidirect
1214. #3559D43semidirect
1256. #563C2×D43semidirect
1260. #562C2×D43semidirect
1277. #554C2×D43semidirect
1290. #553C2×D43semidirect
1291. #553C2×D43semidirect
1322. #547C2×D43semidirect
1323. #547C2×D43semidirect
1355. #544C2×D43semidirect
1371. #540C2×D43semidirect
1377. #539C2×D43semidirect
1378. #539C2×D43semidirect
1392. #537C2×D43semidirect
1417. #532C2×D43semidirect
1442. #529C2×D43semidirect
1446. C2×#125C2×D43semidirect
1486. C43#62822semidirect

Maximal subgroups

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

subgroupindex
#191491522
#191491482
#191491442
#191491322
#191491292
#191491182
#191491172
#191491112
#191489532
#191489452
#191489382
#191489242
#191486792
#191486732
#191486232
#191486202
#191485422
#191485382
#191485252
#191484272
#191484242
#191483582
#191483532
#191483332
#191483222
#191483192
#191482342
#532×D432
C2×#145834342
#529×D432
C43×#35592
#6282243