Finite Group Databasebeta

← #26005343

Subgroups — #26005343

Order 11008.

6626 conjugacy classes of subgroups.

The subgroup lattice has 2592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149277C214yesmaximal, complemented
2#19149251C214yesmaximal, complemented
3#19149234C212yesmaximal, complemented
4#19149188C212yesmaximal, complemented
5#19149086C211yesmaximal, characteristic, complemented
6#19149069C211yesmaximal, characteristic, complemented
7#19148985C211yesmaximal, characteristic, complemented
8#19148968C211yesmaximal, characteristic, complemented
9#19148914C212yesmaximal, complemented
10#19148891C212yesmaximal, complemented
11#19148770C214yesmaximal, complemented
12#19148701C212yesmaximal, complemented
13#19148696C212yesmaximal, complemented
14#19148692C211yesmaximal, characteristic, complemented
15#19148679C211yesmaximal, characteristic, complemented
16#19148670C214yesmaximal, complemented
17#19148669C212yesmaximal, complemented
18#19148658C212yesmaximal, complemented
19#19148647C211yesmaximal, characteristic, complemented
20#19148628C211yesmaximal, characteristic, complemented
21#19148604C211yesmaximal, characteristic, complemented
22#19148601C211yesmaximal, characteristic, complemented
23#19148567C212yesmaximal, complemented
24#19148558C211yesmaximal, characteristic, complemented
25#19148558C212yesmaximal, complemented
26#19148519C212yesmaximal, complemented
27#19148484C212yesmaximal, complemented
28#19148445C212yesmaximal, complemented
29#19148435C212yesmaximal, complemented
30#19148339C212yesmaximal, complemented
31#19148331C212yesmaximal, complemented
32#19147892C211yesmaximal, characteristic, complemented
33#19147888C211yesmaximal, characteristic, complemented
34#529×D43C211yesmaximal, characteristic, complemented
35C43×#3515C211yesmaximal, characteristic, complemented
36#14583651C2214yescomplemented
37#14583650C2214yescomplemented
38#14583647C2214yescomplemented
39#14583646C2214yescomplemented
40#14583646C2214yescomplemented
41#14583645C2214yescomplemented
42#14583639C2214yescomplemented
43#14583637C2214yescomplemented
44#14583634C2211yescharacteristic, complemented
45#14583634C2212yescomplemented
46#14583633C2214yescomplemented
47#14583633C2214yescomplemented
48#14583632C2212yescomplemented
49#14583632C2214yescomplemented
50#14583629C2211yescharacteristic, complemented
51#14583628C2211yescharacteristic, complemented
52#14583628C2212yescomplemented
53#14583626C2212yescomplemented
54#14583623C2211yescharacteristic, complemented
55#14583623C2212yescomplemented
56#14583621C2214yescomplemented
57#14583620C2212yescomplemented
58#14583620C2212yescomplemented
59#14583619C2211yescharacteristic, complemented
60#14583619C2212yescomplemented
61#14583617C2212yescomplemented
62#14583617C2214yescomplemented
63#14583616C2214yescomplemented
64#14583615C2211yescharacteristic, complemented
65#14583614C2214yescomplemented
66#14583614C2212yescomplemented
67#14583614C2212yescomplemented
68#14583612C2214yescomplemented
69#14583612C2212yescomplemented
70#14583605C2212yescomplemented
71#14583605C2214yescomplemented
72#14583605C2212yescomplemented
73#14583604C2212yescomplemented
74#14583602C2212yes—
75#14583602C2212yescomplemented
76#14583602C2214yescomplemented
77#14583602C2214yescomplemented
78#14583600C2214yescomplemented
79#14583597C2212yescomplemented
80#14583597C2214yescomplemented
81#14583597C2212yescomplemented
82#14583597C2214yescomplemented
83#14583597C2214yescomplemented
84#14583597C2214yescomplemented
85#14583596C2214yescomplemented
86#14583593C2214yescomplemented
87#14583593C2214yescomplemented
88#14583593C2212yescomplemented
89#14583587C2212yescomplemented
90#14583587C2214yescomplemented
91#14583587C2214yescomplemented
92#14583587C2214yescomplemented
93#14583585C2214yescomplemented
94#14583584C2212yescomplemented
95#14583584C2214yescomplemented
96#14583584C2212yescomplemented
97#14583583C2212yescomplemented
98#14583581C2214yescomplemented
99#14583581C2214yescomplemented
100#14583581C2214yescomplemented
101#14583578C2214yescomplemented
102#14583578C2214yescomplemented
103#14583577C2214yescomplemented
104#14583577C2214yescomplemented
105#14583574C2214yescomplemented
106#14583574C2214yescomplemented
107#14583574C2214yescomplemented
108#14583574C2214yescomplemented
109#14583574C2214yescomplemented
110#14583573C2214yescomplemented
111#14583572C2214yescomplemented
112#14583571C2211yescharacteristic, complemented
113#14583570C2212yescomplemented
114#14583570C2211yescharacteristic, complemented
115#14583568C2212yescomplemented
116#14583568C2212yescomplemented
117Q8×D172C2212yescomplemented
118Q8×D172C2211yescharacteristic, complemented
119#14583564C2211yescharacteristic, complemented
120#14583561C2212yescomplemented
121#14583559C2212yescomplemented
122#14583559C2212yescomplemented
123#14583559C2212yescomplemented
124#14583559C2212yescomplemented
125#14583556C2212yescomplemented
126#14583554C2212yescomplemented
127#14583554C2211yescharacteristic, complemented
128#14583552C2212yescomplemented
129#14583551C2214yescomplemented
130#14583550C2214yescomplemented
131#14583550C2212yescomplemented
132#14583546C2212yes—
133#14583546C2212yes—
134#14583546C2212yescomplemented
135#14583545C2214yescomplemented
136#14583545C2212yescomplemented
137#14583545C2214yescomplemented
138#14583540C2214yes—
139#14583540C2212yescomplemented
140#14583540C2212yescomplemented
141D4×D172C2212yes—
142D4×D172C2211yescharacteristic, complemented
143#14583530C2212yescomplemented
144#14583529C2212yescomplemented
145#14583522C2212yescomplemented
146#14583522C2214yescomplemented
147#14583522C2212yescomplemented
148#14583521C2212yescomplemented
149#14583521C2212yescomplemented
150#14583521C2212yescomplemented
151#14583520C2212yescomplemented
152#14583520C2214yescomplemented
153#14583520C2214yescomplemented
154#14583519C2214yescomplemented
155#14583519C2214yescomplemented
156#14583516C2212yescomplemented
157#14583515C2214yescomplemented
158#14583514C2212yes—
159#14583512C2212yescomplemented
160#14583512C2212yescomplemented
161#14583512C2214yescomplemented
162#14583509C2212yescomplemented
163#14583509C2214yescomplemented
164#14583508C2214yescomplemented
165#14583505C2212yescomplemented
166#14583505C2212yescomplemented
167#14583501C2214yescomplemented
168#14583500C2212yescomplemented
169#14583500C2212yescomplemented
170#14583500C2214yescomplemented
171#14583500C2214yescomplemented
172#14583497C2214yescomplemented
173#14583497C2214yescomplemented
174#14583497C2214yescomplemented
175#14583496C2214yescomplemented
176#14583492C2214yescomplemented
177#14583492C2214yescomplemented
178#14583489C2214yescomplemented
179#14583488C2214yescomplemented
180#14583488C2214yescomplemented
181#14583485C2214yescomplemented
182#14583485C2214yescomplemented
183#14583485C2214yescomplemented
184#14583485C2214yescomplemented
185#14583485C2214yescomplemented
186#14583481C2214yescomplemented
187#14583480C2212yescomplemented
188#14583480C2212yescomplemented
189#14583474C2212yescomplemented
190#14583472C2212yescomplemented
191#14583465C2212yes—
192#14583465C2214yescomplemented
193#14583463C2212yescomplemented
194#14583460C2214yescomplemented
195#14583455C2212yescomplemented
196#14583454C2211yescharacteristic, complemented
197#14583454C2212yescomplemented
198#14583454C2211yescharacteristic, complemented
199#14583453C2211yescharacteristic, complemented
200#14583453C2211yescharacteristic, complemented
201#14583452C2211yescharacteristic, complemented
202#14583450C2211yescharacteristic
203#14583450C2211yescharacteristic, complemented
204#14583449C2211yescharacteristic, complemented
205#14583449C2212yescomplemented
206#14583446C2211yescharacteristic
207#14583446C2212yescomplemented
208#14583446C2211yescharacteristic, complemented
209#14583445C2211yescharacteristic, complemented
210#14583436C2212yes—
211#14583436C2211yescharacteristic
212#14583436C2211yescharacteristic, complemented
213#14583436C2212yescomplemented
214#14583436C2211yescharacteristic, complemented
215#14583436C2212yescomplemented
216#14583435C2211yescharacteristic, complemented
217#14583435C2212yescomplemented
218#14583435C2212yescomplemented
219#14583434C2212yescomplemented
220#14583434C2212yescomplemented
221#14583434C2212yescomplemented
222#14583434C2212yescomplemented
223#14583434C2211yescharacteristic, complemented
224#14583434C2212yescomplemented
225#14583434C2214yescomplemented
226#14583433C2212yescomplemented
227#14583433C2211yescharacteristic, complemented
228#14583432C2212yescomplemented
229#14583431C2211yescharacteristic
230#14583431C2211yescharacteristic, complemented
231#14583431C2211yescharacteristic, complemented
232#14583431C2214yescomplemented
233#14583430C2211yescharacteristic
234#14583429C2212yescomplemented
235#14583429C2212yescomplemented
236#14583429C2212yescomplemented
237#14583428C2211yescharacteristic
238#14583427C2212yescomplemented
239#14583427C2212yescomplemented
240#14583427C2212yescomplemented
241#14583427C2214yescomplemented
242#14583426C2212yescomplemented
243#126×D43C2212yescomplemented
244#126×D43C2214yescomplemented
245#125×D43C2211yescharacteristic, complemented
246#124×D43C2211yescharacteristic
247#124×D43C2212yescomplemented
248#14583412C2212yes—
249#14583412C2212yescomplemented
250#14583412C2212yescomplemented
251#14583411C2211yescharacteristic
252#14583411C2212yescomplemented
253#14583408C2212yescomplemented
254#14583408C2212yescomplemented
255#14583406C2212yescomplemented
256#14583406C2211yescharacteristic, complemented
257#123×D43C2212yescomplemented
258C22⋊Q8×D43C2212yescomplemented
259C22⋊Q8×D43C2211yescharacteristic, complemented
260C2×#13063300C2212yes—
261#121×D43C2211yescharacteristic
262#14583381C2212yescomplemented
263#14583380C2214yescomplemented
264#14583380C2212yescomplemented
265#14583380C2212yescomplemented
266#14583375C2212yescomplemented
267#14583375C2212yescomplemented
268#14583373C2212yescomplemented
269#14583373C2214yescomplemented
270#14583371C2212yescomplemented
271C4×#10621902C2212yescomplemented
272C4×#10621902C2212yescomplemented
273C4×#10621898C2212yescomplemented
274C4×#10621898C2211yescharacteristic, complemented
275C4×#10621898C2212yescomplemented
276#14583367C2212yescomplemented
277C4×Q8×D43C2211yescharacteristic, complemented
278C4×D4×D43C2211yescharacteristic
279C4×D4×D43C2212yescomplemented
280#117×D43C2212yescomplemented
281C2×C42×D43C2211yescharacteristic, complemented
282C43×#557C2211yescharacteristic, complemented
283C43×#554C2211yescharacteristic, complemented
284C43×#554C2211yescharacteristic, complemented
285C43×#553C2212yes—
286C43×#552C2212yescomplemented
287C43×#552C2214yescomplemented
288C43×#552C2212yescomplemented
289C43×#547C2211yescharacteristic, complemented
290C43×#547C2212yescomplemented
291C43×#541C2212yescomplemented
292C43×#539C2214yescomplemented
293C43×#533C2211yescharacteristic, complemented
294C43×#529C2211yescharacteristic
295C43×#529C2212yescomplemented
296C2×#125×C43C2212yescomplemented
297C43×#520C2212yescomplemented
298C4×#41×C43C2211yescharacteristic, complemented
299C2×#10621902C2312yes—
300C2×#10621902C2312yes—
301C2×#10621902C2312yes—
302C2×#10621898C2312yes—
303C2×#10621898C2312yes—
304C2×#10621898C2312yes—
305C2×#10621898C2311yescharacteristic
306C2×#10621898C2312yes—
307C2×#10621898C2312yes—
308C2×#10621898C2314yes—
309C2×Q8×D43C2312yes—
310C2×Q8×D43C2311yescharacteristic
311C2×Q8×D43C2312yes—
312C22×D172C2314yes—
313C22×D172C2312yes—
314C2×D4×D43C2311yescharacteristic
315C2×D4×D43C2312yes—
316C2×D4×D43C2312yes—
317C22×C4×D43C2311yescharacteristic
318C22×C4×D43C2311yescharacteristic
319C22×C4×D43C2311yescharacteristic
320C22×C4×D43C2312yes—
321#13063325C2311yescharacteristic
322#13063325C2312yes—
323#13063325C2312yes—
324#13063325C2314yes—
325#13063324C2312yes—
326#13063324C2314yes—
327#13063324C2312yes—
328#13063324C2312yes—
329#13063324C2314yes—
330#13063324C2311yescharacteristic
331#13063324C2311yescharacteristic
332#13063323C2314yes—
333#13063323C2311yescharacteristic
334#13063322C2311yescharacteristic
335#13063322C2312yes—
336#13063321C2312yes—
337#13063321C2314yes—
338#13063321C2314yes—
339#13063321C2311yescharacteristic
340#13063320C2314yes—
341#13063320C2314yes—
342#13063320C2314yes—
343#13063320C2314yes—
344#13063320C2314yes—
345#13063320C2314yes—
346#13063320C2314yes—
347#13063320C2314yes—
348#13063320C2314yes—
349#13063320C2312yes—
350#13063320C2314yes—
351#13063320C2314yes—
352#13063320C2314yes—
353#13063320C2314yes—
354#13063320C2312yes—
355#13063320C2312yes—
356#13063320C2312yes—
357#13063320C2312yes—
358#13063320C2314yes—
359#13063319C2314yes—
360#13063319C2314yes—
361#13063319C2314yes—
362#13063319C2312yes—
363#13063318C2314yes—
364#13063318C2314yes—
365#13063318C2314yes—
366#13063318C2314yes—
367#13063318C2314yes—
368#13063318C2312yes—
369#13063318C2314yes—
370#13063318C2312yes—
371#13063318C2312yes—
372#13063318C2312yes—
373#13063318C2312yes—
374#13063317C2311yescharacteristic
375#13063316C2311yescharacteristic
376#13063316C2311yescharacteristic
377#13063316C2314yes—
378#13063316C2312yes—
379#13063316C2314yes—
380#13063316C2314yes—
381#13063316C2314yes—
382#13063316C2314yes—
383#13063316C2314yes—
384#13063316C2311yescharacteristic
385#13063316C2311yescharacteristic
386#13063316C2312yes—
387#13063316C2312yes—
388#13063315C2312yes—
389#13063315C2312yes—
390#13063315C2314yes—
391#13063315C2314yes—
392#13063315C2314yes—
393#13063315C2314yes—
394#13063315C2312yes—
395#13063315C2312yes—
396#13063314C2311yescharacteristic
397#13063314C2312yes—
398#13063314C2312yes—
399#13063314C2314yes—
400#13063314C2311yescharacteristic
401#13063314C2312yes—
402#13063314C2312yes—
403#13063313C2314yes—
404#13063313C2312yes—
405#13063313C2314yes—
406#13063313C2314yes—
407#13063313C2311yescharacteristic
408#13063313C2312yes—
409#13063312C2311yescharacteristic
410#13063312C2314yes—
411#13063312C2311yescharacteristic
412#13063312C2312yes—
413#13063311C2314yes—
414#13063311C2314yes—
415#13063311C2314yes—
416#13063311C2314yes—
417#13063311C2312yes—
418#13063311C2314yes—
419#13063311C2314yes—
420#13063311C2314yes—
421#13063311C2314yes—
422#13063311C2312yes—
423#13063311C2314yes—
424#13063311C2314yes—
425#13063311C2314yes—
426#13063311C2312yes—
427#13063311C2312yes—
428#13063310C2314yes—
429#13063310C2314yes—
430#13063310C2314yes—
431#13063310C2314yes—
432#13063310C2314yes—
433#13063310C2314yes—
434#13063310C2314yes—
435#13063310C2314yes—
436#13063310C2314yes—
437#13063310C2314yes—
438#13063310C2314yes—
439#13063310C2314yes—
440#13063310C2314yes—
441#13063310C2314yes—
442#13063310C2312yes—
443#13063310C2314yes—
444#13063310C2314yes—
445#13063310C2314yes—
446#13063310C2312yes—
447#13063310C2312yes—
448#13063310C2312yes—
449#13063309C2312yes—
450#13063309C2314yes—
451#13063309C2312yes—
452#13063308C2314yes—
453#13063308C2314yes—
454#13063308C2314yes—
455#13063308C2314yes—
456#13063308C2312yes—
457#13063307C2314yes—
458#13063307C2314yes—
459#13063307C2314yes—
460#13063307C2314yes—
461#13063307C2312yes—
462#13063307C2314yes—
463#13063307C2314yes—
464#13063307C2312yes—
465#13063307C2314yes—
466#13063307C2314yes—
467#13063307C2312yes—
468#13063307C2312yes—
469#13063306C2314yes—
470#13063306C2312yes—
471#13063306C2312yes—
472#13063305C2311yescharacteristic
473#13063305C2314yes—
474#13063305C2314yes—
475#13063305C2314yes—
476#13063305C2314yes—
477#13063305C2312yes—
478#13063305C2312yes—
479#13063305C2312yes—
480#13063305C2314yes—
481#13063305C2314yes—
482#13063305C2314yes—
483#13063305C2311yescharacteristic
484#13063305C2311yescharacteristic
485#13063305C2312yes—
486#13063304C2312yes—
487#13063304C2311yescharacteristic
488#13063304C2314yes—
489#13063304C2312yes—
490#13063304C2314yes—
491#13063304C2314yes—
492#13063303C2314yes—
493#13063303C2314yes—
494#13063303C2314yes—
495#13063303C2314yes—
496#13063303C2314yes—
497#13063303C2312yes—
498#13063303C2314yes—
499#13063303C2314yes—
500#13063303C2314yes—
501#13063303C2314yes—
502#13063303C2314yes—
503#13063303C2314yes—
504#13063303C2312yes—
505#13063303C2312yes—
506#13063302C2314yes—
507#13063302C2312yes—
508#13063302C2312yes—
509#13063302C2312yes—
510#13063301C2311yescharacteristic
511#13063301C2312yes—
512#13063301C2312yes—
513#13063301C2312yes—
514#13063301C2311yescharacteristic
515#13063301C2311yescharacteristic
516#13063300C2314yes—
517#13063300C2312yes—
518#13063300C2312yes—
519#13063300C2312yes—
520#13063300C2312yes—
521#13063300C2312yes—
522#13063300C2314yes—
523#13063300C2314yes—
524#13063300C2314yes—
525#13063300C2314yes—
526#13063300C2314yes—
527#13063300C2314yes—
528#13063300C2314yes—
529#13063300C2311yescharacteristic
530#13063300C2312yes—
531#13063300C2311yescharacteristic
532#13063300C2311yescharacteristic
533#13063300C2312yes—
534#13063300C2312yes—
535#13063299C2314yes—
536#13063299C2312yes—
537#13063299C2314yes—
538#13063299C2312yes—
539#13063299C2312yes—
540#13063299C2311yescharacteristic
541#13063299C2314yes—
542#13063299C2314yes—
543#13063299C2314yes—
544#13063299C2314yes—
545#13063299C2314yes—
546#13063299C2314yes—
547#13063299C2312yes—
548#13063298C2314yes—
549#13063298C2314yes—
550#13063298C2314yes—
551#13063298C2314yes—
552#13063298C2314yes—
553#13063298C2314yes—
554#13063298C2314yes—
555#13063298C2312yes—
556#13063298C2312yes—
557#13063298C2312yes—
558#13063297C2312yes—
559#13063297C2312yes—
560#13063297C2312yes—
561#13063296C2312yes—
562#13063296C2314yes—
563#13063296C2314yes—
564#13063296C2311yescharacteristic
565#13063296C2314yes—
566#13063296C2314yes—
567#13063296C2311yescharacteristic
568#13063296C2311yescharacteristic
569#13063295C2314yes—
570#13063295C2314yes—
571#13063295C2314yes—
572#13063295C2314yes—
573#13063295C2312yes—
574#13063295C2314yes—
575#13063293C2314yes—
576#13063293C2314yes—
577#13063293C2314yes—
578#13063293C2314yes—
579#13063293C2312yes—
580Q8×Dic43C2312yes—
581Q8×Dic43C2312yes—
582Q8×Dic43C2312yes—
583Q8×Dic43C2311yescharacteristic
584Q8×Dic43C2312yes—
585C4×Dic86C2311yescharacteristic
586C4×Dic86C2312yes—
587C4×Dic86C2311yescharacteristic
588C4×Dic86C2314yes—
589C4×Dic86C2312yes—
590C4×Dic86C2312yes—
591C4×Dic86C2314yes—
592C4×Dic86C2312yes—
593C4×Dic86C2312yes—
594C4×Dic86C2311yescharacteristic
595C4×Dic86C2312yes—
596#13063290C2312yes—
597#13063290C2312yes—
598#13063290C2312yes—
599#13063290C2312yes—
600#13063290C2314yes—
601#13063290C2314yes—
602#13063290C2314yes—
603#13063290C2314yes—
604#13063290C2311yescharacteristic
605#13063290C2312yes—
606#13063290C2312yes—
607C4×D172C2312yes—
608C4×D172C2312yes—
609C4×D172C2311yescharacteristic
610C4×D172C2312yes—
611C4×D172C2314yes—
612C4×D172C2314yes—
613C4×D172C2312yes—
614C4×D172C2312yes—
615C4×D172C2311yescharacteristic
616C4×D172C2312yes—
617C4×D172C2314yes—
618C4×D172C2312yes—
619C4×D172C2312yes—
620C4×D172C2314yes—
621C4×D172C2314yes—
622C4×D172C2312yes—
623C4×D172C2311yescharacteristic
624C4×D172C2312yes—
625C4×D172C2314yes—
626D4×Dic43C2312yes—
627D4×Dic43C2311yescharacteristic
628#13063287C2314yes—
629#13063287C2314yes—
630#13063287C2314yes—
631#13063287C2314yes—
632#13063287C2312yes—
633#13063287C2314yes—
634#13063287C2312yes—
635#13063287C2314yes—
636#13063287C2314yes—
637#13063287C2314yes—
638#13063287C2312yes—
639#13063287C2312yes—
640#13063287C2312yes—
641#13063287C2312yes—
642#13063287C2311yescharacteristic
643#13063287C2312yes—
644#13063287C2314yes—
645#13063287C2312yes—
646C4×C22⋊D43C2314yes—
647C4×C22⋊D43C2312yes—
648C4×C22⋊D43C2312yes—
649C4×C22⋊D43C2312yes—
650C4×C22⋊D43C2312yes—
651C4×C22⋊D43C2312yes—
652C4×C22⋊D43C2314yes—
653C4×C22⋊D43C2314yes—
654C4×C22⋊D43C2312yes—
655C4×C22⋊D43C2312yes—
656C4×C22⋊D43C2314yes—
657C4×C22⋊D43C2312yes—
658C4×C22⋊D43C2314yes—
659C4×C22⋊D43C2314yes—
660C4×C22⋊D43C2312yes—
661C4×C22⋊D43C2312yes—
662C4×C22⋊D43C2314yes—
663C4×C22⋊D43C2314yes—
664C4×C22⋊D43C2312yes—
665C4×C22⋊D43C2312yes—
666C4×C22⋊D43C2312yes—
667(C22⋊D43)⋊C4C2314yes—
668(C22⋊D43)⋊C4C2312yes—
669(C22⋊D43)⋊C4C2314yes—
670(C22⋊D43)⋊C4C2312yes—
671(C22⋊D43)⋊C4C2312yes—
672(C22⋊D43)⋊C4C2314yes—
673#13063284C2314yes—
674#13063284C2312yes—
675#13063284C2314yes—
676#13063284C2312yes—
677#13063284C2312yes—
678#13063284C2311yescharacteristic
679#13063284C2312yes—
680#13063283C2314yes—
681#13063283C2314yes—
682#13063283C2314yes—
683#13063283C2314yes—
684#13063283C2314yes—
685#13063283C2314yes—
686#13063283C2312yes—
687#13063283C2314yes—
688#13063283C2314yes—
689#13063283C2312yes—
690#13063283C2312yes—
691#13063283C2312yes—
692#13063283C2312yes—
693#13063283C2312yes—
694#13063283C2312yes—
695#13063282C2314yes—
696#13063282C2312yes—
697#13063282C2312yes—
698#13063282C2312yes—
699#13063282C2314yes—
700#13063282C2314yes—
701#13063282C2314yes—
702#13063282C2312yes—
703#13063282C2312yes—
704#13063282C2312yes—
705#13063282C2312yes—
706#13063281C2312yes—
707#13063281C2312yes—
708C4⋊C4×D43C2314yes—
709C4⋊C4×D43C2312yes—
710C4⋊C4×D43C2314yes—
711C4⋊C4×D43C2312yes—
712C4⋊C4×D43C2314yes—
713C4⋊C4×D43C2311yescharacteristic
714C4⋊C4×D43C2312yes—
715C4⋊C4×D43C2314yes—
716C4⋊C4×D43C2312yes—
717C4⋊C4×D43C2311yescharacteristic
718C4⋊C4×D43C2312yes—
719C2×(C2×D43)⋊C4C2314yes—
720C22⋊C4×D43C2314yes—
721C22⋊C4×D43C2314yes—
722C22⋊C4×D43C2314yes—
723C22⋊C4×D43C2314yes—
724C22⋊C4×D43C2312yes—
725C22⋊C4×D43C2312yes—
726C22⋊C4×D43C2314yes—
727C22⋊C4×D43C2314yes—
728C22⋊C4×D43C2312yes—
729C22⋊C4×D43C2312yes—
730C22⋊C4×D43C2312yes—
731C2×C4×Dic43C2311yescharacteristic
732C2×C4×Dic43C2311yescharacteristic
733C2×C4×Dic43C2311yescharacteristic
734C42×D43C2311yescharacteristic
735C42×D43C2311yescharacteristic
736C42×D43C2311yescharacteristic
737C42×D43C2311yescharacteristic
738C42×D43C2311yescharacteristic
739C42×D43C2311yescharacteristic
740C42×D43C2311yescharacteristic
741C42×D43C2311yescharacteristic
742C42×D43C2312yes—
743C42×D43C2314yes—
744C42×D43C2312yes—
745C2×#41×C43C2312yes—
746C2×#41×C43C2311yescharacteristic
747C4⋊Q8×C43C2312yes—
748C4⋊Q8×C43C2311yescharacteristic
749C4⋊Q8×C43C2311yescharacteristic
750#126×C43C2314yes—
751#126×C43C2312yes—
752#126×C43C2314yes—
753#126×C43C2314yes—
754#125×C43C2314yes—
755#125×C43C2314yes—
756#125×C43C2311yescharacteristic
757#125×C43C2312yes—
758#125×C43C2314yes—
759#125×C43C2312yes—
760#125×C43C2312yes—
761#125×C43C2314yes—
762#125×C43C2312yes—
763#124×C43C2311yescharacteristic
764#123×C43C2314yes—
765#123×C43C2314yes—
766#123×C43C2314yes—
767#123×C43C2312yes—
768#123×C43C2314yes—
769C22⋊Q8×C43C2311yescharacteristic
770C22⋊Q8×C43C2312yes—
771C22⋊Q8×C43C2312yes—
772C22⋊Q8×C43C2312yes—
773C22⋊Q8×C43C2312yes—
774C22⋊Q8×C43C2314yes—
775C22⋊Q8×C43C2314yes—
776C22⋊Q8×C43C2312yes—
777#121×C43C2311yescharacteristic
778#121×C43C2312yes—
779#121×C43C2314yes—
780C4×Q8×C43C2312yes—
781C4×Q8×C43C2311yescharacteristic
782C4×Q8×C43C2312yes—
783C4×Q8×C43C2311yescharacteristic
784C4×Q8×C43C2311yescharacteristic
785C4×Q8×C43C2312yes—
786C4×Q8×C43C2312yes—
787C4×D4×C43C2311yescharacteristic
788C4×D4×C43C2312yes—
789C4×D4×C43C2311yescharacteristic
790C4×D4×C43C2312yes—
791C4×D4×C43C2314yes—
792C4×D4×C43C2314yes—
793C4×D4×C43C2312yes—
794C4×D4×C43C2312yes—
795C4×D4×C43C2311yescharacteristic
796C4×D4×C43C2312yes—
797#117×C43C2311yescharacteristic
798#117×C43C2312yes—
799#117×C43C2314yes—
800#117×C43C2312yes—
801#117×C43C2314yes—
802#117×C43C2312yes—
803C2×C4⋊C4×C43C2314yes—
804C2×C4⋊C4×C43C2312yes—
805C2×C4⋊C4×C43C2312yes—
806C2×C4⋊C4×C43C2314yes—
807C2×C4⋊C4×C43C2312yes—
808C2×C42×C43C2312yes—
809C2×C42×C43C2311yescharacteristic
810C23×D43C2412yes—
811C23×D43C2411yescharacteristic
812C23×D43C2414yes—
813#41×C43—44no—
814#41×C43—42no—
815C2×Q8×C43C2411yescharacteristic
816C2×Q8×C43C2412yes—
817C2×Q8×C43C2411yescharacteristic
818C2×Q8×C43C2412yes—
819C2×D4×C43C2411yescharacteristic
820C2×D4×C43C2411yescharacteristic
821C2×D4×C43C2414yes—
822C2×D4×C43C2412yes—
823C2×D4×C43C2412yes—
824C22×C4×C43C2412yes—
825C22×C4×C43C2411yescharacteristic
826C22×C4×C43C2411yescharacteristic
827C22×C4×C43C2412yes—
828C22×C4×C43C2412yes—
829C22×C4×C43C2412yes—
830C22×C4×C43C2411yescharacteristic
831C22×C4×C43C2414yes—
832C22×C4×C43C2414yes—
833C22×C4×C43C2414yes—
834C2×C22⋊D43C2412yes—
835C2×C22⋊D43C2414yes—
836C2×C22⋊D43C2412yes—
837C2×C22⋊D43C2414yes—
838C2×C22⋊D43C2412yes—
839C2×C22⋊D43C2412yes—
840C2×C22⋊D43C2412yes—
841C2×C22⋊D43C2412yes—
842C2×C22⋊D43C2412yes—
843C2×C22⋊D43C2414yes—
844C2×C22⋊D43C2414yes—
845C2×C22⋊D43C2412yes—
846C2×C22⋊D43C2414yes—
847C22×Dic43C2411yescharacteristic
848C22×Dic43C2411yescharacteristic
849C22×Dic43C2411yescharacteristic
850C22×Dic43C2412yes—
851#10621902—44no—
852#10621902—44no—
853#10621902—44no—
854Q8×D43—42no—
855Q8×D43—44no—
856Q8×D43—44no—
857D4×D43—44no—
858D4×D43—42no—
859D4×D43—44no—
860#10621898—44no—
861#10621898—44no—
862#10621898—44no—
863#10621898—42no—
864#10621898—44no—
865#10621898—44no—
866#10621898—48no—
867C2×D172—48no—
868C2×D172—44no—
869C2×D172C2414yes—
870C2×D172C2411yescharacteristic
871C2×D172C2412yes—
872C2×D172C2412yes—
873C2×D172C2412yes—
874C2×D172C2411yescharacteristic
875C2×D172C2414yes—
876C2×D172C2414yes—
877C2×D172C2412yes—
878C2×D172C2414yes—
879C2×D172C2414yes—
880C2×D172C2412yes—
881C2×D172C2412yes—
882C2×D172C2414yes—
883C2×C4×D43—42no—
884C2×C4×D43—42no—
885C2×C4×D43—42no—
886C2×C4×D43—44no—
887C2×C4×D43C2411yescharacteristic
888C2×C4×D43C2411yescharacteristic
889C2×C4×D43C2411yescharacteristic
890C2×C4×D43C2411yescharacteristic
891C2×C4×D43C2411yescharacteristic
892C2×C4×D43C2411yescharacteristic
893C2×C4×D43C2412yes—
894C2×C4×D43C2412yes—
895C2×C4×D43C2412yes—
896C2×C4×D43C2411yescharacteristic
897C2×C4×D43C2411yescharacteristic
898C2×C4×D43C2411yescharacteristic
899C2×C4×D43C2411yescharacteristic
900C2×C4×D43C2411yescharacteristic
901C2×C4×D43C2411yescharacteristic
902C2×C4×D43C2412yes—
903C2×C4×D43C2412yes—
904C2×C4×D43C2412yes—
905C2×C4×D43C2414yes—
906C2×C4×D43C2414yes—
907C2×C4×D43C2414yes—
908C2×C4×D43C2412yes—
909C2×C4×D43C2414yes—
910C2×C4×D43C2414yes—
911C2×C4×D43C2414yes—
912C2×C4×D43C2414yes—
913C2×C4×D43C2414yes—
914C2×C4×D43C2414yes—
915C2×C4×D43C2412yes—
916C2×Dic86C2412yes—
917C2×Dic86C2411yescharacteristic
918C2×Dic86C2411yescharacteristic
919C2×Dic86C2414yes—
920C2×Dic86C2414yes—
921C2×Dic86C2412yes—
922C2×Dic86C2414yes—
923C2×Dic86C2412yes—
924C2×Dic86C2412yes—
925C4⋊C4×C43C2411yescharacteristic
926C4⋊C4×C43C2414yes—
927C4⋊C4×C43C2412yes—
928C4⋊C4×C43C2411yescharacteristic
929C4⋊C4×C43C2412yes—
930C4⋊C4×C43C2411yescharacteristic
931C4⋊C4×C43C2412yes—
932C4⋊C4×C43C2412yes—
933C4⋊C4×C43C2414yes—
934C4⋊C4×C43C2412yes—
935C4⋊C4×C43C2414yes—
936C4⋊C4×C43C2414yes—
937C4⋊C4×C43C2414yes—
938C4⋊C4×C43C2414yes—
939C4⋊C4×C43C2414yes—
940C4⋊C4×C43C2414yes—
941C4⋊C4×C43C2412yes—
942C4⋊C4×C43C2411yescharacteristic
943C4⋊C4×C43C2412yes—
944C4⋊C4×C43C2412yes—
945C4⋊C4×C43C2414yes—
946C4⋊C4×C43C2412yes—
947C4⋊C4×C43C2412yes—
948C4⋊C4×C43C2414yes—
949C22⋊C4×C43C2412yes—
950C22⋊C4×C43C2412yes—
951C22⋊C4×C43C2412yes—
952C22⋊C4×C43C2412yes—
953C22⋊C4×C43C2414yes—
954C22⋊C4×C43C2412yes—
955C22⋊C4×C43C2412yes—
956C22⋊C4×C43C2414yes—
957C22⋊C4×C43C2414yes—
958C22⋊C4×C43C2414yes—
959C22⋊C4×C43C2412yes—
960C22⋊C4×C43C2412yes—
961C42×C43C2411yescharacteristic
962C42×C43C2412yes—
963C42×C43C2411yescharacteristic
964C42×C43C2411yescharacteristic
965C42×C43C2412yes—
966C42×C43C2411yescharacteristic
967C42×C43C2412yes—
968C42×C43C2414yes—
969C42×C43C2414yes—
970C42×C43C2412yes—
971C22⋊Dic43C2412yes—
972C22⋊Dic43C2412yes—
973C22⋊Dic43C2414yes—
974C22⋊Dic43C2414yes—
975C22⋊Dic43C2412yes—
976C22⋊Dic43C2412yes—
977C22⋊Dic43C2412yes—
978C22⋊Dic43C2412yes—
979C22⋊Dic43C2412yes—
980C22⋊Dic43C2412yes—
981C22⋊Dic43C2412yes—
982C22⋊Dic43C2412yes—
983C22⋊Dic43C2414yes—
984(C2×D43)⋊C4C2412yes—
985(C2×D43)⋊C4C2412yes—
986(C2×D43)⋊C4C2412yes—
987(C2×D43)⋊C4C2412yes—
988(C2×D43)⋊C4C2414yes—
989(C2×D43)⋊C4C2412yes—
990(C2×D43)⋊C4C2412yes—
991(C2×D43)⋊C4C2414yes—
992(C2×D43)⋊C4C2412yes—
993(C2×D43)⋊C4C2412yes—
994(C2×D43)⋊C4C2412yes—
995(C2×D43)⋊C4C2414yes—
996(C2×D43)⋊C4C2414yes—
997(C2×D43)⋊C4C2412yes—
998(C2×D43)⋊C4C2412yes—
999(C2×D43)⋊C4C2412yes—
1000(C2×D43)⋊C4C2412yes—
1001(C2×D43)⋊C4C2412yes—
1002(C2×D43)⋊C4C2414yes—
1003(C2×D43)⋊C4C2414yes—
1004(C2×D43)⋊C4C2414yes—
1005(C2×D43)⋊C4C2414yes—
1006(C2×D43)⋊C4C2412yes—
1007(C2×D43)⋊C4C2414yes—
1008(C2×D43)⋊C4C2414yes—
1009(C2×D43)⋊C4C2412yes—
1010(C2×D43)⋊C4C2414yes—
1011(C2×D43)⋊C4C2414yes—
1012(C2×D43)⋊C4C2414yes—
1013(C2×D43)⋊C4C2412yes—
1014(C2×D43)⋊C4C2412yes—
1015(C2×D43)⋊C4C2412yes—
1016(C2×D43)⋊C4C2412yes—
1017(C2×D43)⋊C4C2414yes—
1018(C2×D43)⋊C4C2414yes—
1019(C2×D43)⋊C4C2414yes—
1020(C2×D43)⋊C4C2414yes—
1021(C2×D43)⋊C4C2414yes—
1022(C2×D43)⋊C4C2414yes—
1023(C2×D43)⋊C4C2414yes—
1024C4⋊Dic43C2412yes—
1025C4⋊Dic43C2412yes—
1026C4⋊Dic43C2412yes—
1027C4⋊Dic43C2411yescharacteristic
1028C4⋊Dic43C2411yescharacteristic
1029C4⋊Dic43C2412yes—
1030C4⋊Dic43C2412yes—
1031C4⋊Dic43C2412yes—
1032C4⋊Dic43C2412yes—
1033C4⋊Dic43C2414yes—
1034C4⋊Dic43C2411yescharacteristic
1035C4⋊Dic43C2414yes—
1036C4⋊Dic43C2414yes—
1037C4⋊Dic43C2412yes—
1038C4⋊Dic43C2414yes—
1039C4⋊Dic43C2414yes—
1040C4⋊Dic43C2411yescharacteristic
1041C4⋊Dic43C2412yes—
1042C4⋊Dic43C2414yes—
1043C4⋊Dic43C2412yes—
1044Dic43⋊C4C2412yes—
1045Dic43⋊C4C2412yes—
1046Dic43⋊C4C2412yes—
1047Dic43⋊C4C2414yes—
1048Dic43⋊C4C2412yes—
1049Dic43⋊C4C2412yes—
1050Dic43⋊C4C2412yes—
1051Dic43⋊C4C2414yes—
1052Dic43⋊C4C2412yes—
1053Dic43⋊C4C2412yes—
1054Dic43⋊C4C2412yes—
1055Dic43⋊C4C2414yes—
1056Dic43⋊C4C2414yes—
1057Dic43⋊C4C2414yes—
1058Dic43⋊C4C2412yes—
1059Dic43⋊C4C2412yes—
1060Dic43⋊C4C2412yes—
1061Dic43⋊C4C2412yes—
1062Dic43⋊C4C2414yes—
1063Dic43⋊C4C2412yes—
1064Dic43⋊C4C2412yes—
1065Dic43⋊C4C2412yes—
1066Dic43⋊C4C2412yes—
1067Dic43⋊C4C2412yes—
1068Dic43⋊C4C2412yes—
1069Dic43⋊C4C2412yes—
1070Dic43⋊C4C2414yes—
1071Dic43⋊C4C2414yes—
1072C4×Dic43C2411yescharacteristic
1073C4×Dic43C2411yescharacteristic
1074C4×Dic43C2411yescharacteristic
1075C4×Dic43C2411yescharacteristic
1076C4×Dic43C2411yescharacteristic
1077C4×Dic43C2411yescharacteristic
1078C4×Dic43C2411yescharacteristic
1079C4×Dic43C2411yescharacteristic
1080C4×Dic43C2411yescharacteristic
1081C4×Dic43C2411yescharacteristic
1082C4×Dic43C2411yescharacteristic
1083C4×Dic43C2411yescharacteristic
1084C4×Dic43C2412yes—
1085C4×Dic43C2412yes—
1086C4×Dic43C2412yes—
1087C4×Dic43C2412yes—
1088C4×Dic43C2412yes—
1089C4×Dic43C2412yes—
1090C4×Dic43C2414yes—
1091C4×Dic43C2414yes—
1092C4×Dic43C2414yes—
1093C4×Dic43C2414yes—
1094C4×Dic43C2414yes—
1095C4×Dic43C2414yes—
1096C4×Dic43C2414yes—
1097C23×C43C2512yes—
1098C23×C43C2512yes—
1099C23×C43C2511yescharacteristic
1100C22×D43—22no—
1101C22×D43—24no—
1102C22×D43—41no—
1103C22×D43—41no—
1104C22×D43—42no—
1105C22×D43—42no—
1106C22×D43—44no—
1107C22×D43—44no—
1108C22×D43—44no—
1109C22×D43C2512yes—
1110C22×D43C2511yescharacteristic
1111C22×D43C2512yes—
1112C22×D43C2514yes—
1113C22×D43C2511yescharacteristic
1114Q8×C43—22no—
1115Q8×C43—24no—
1116Q8×C43—22no—
1117Q8×C43—42no—
1118D4×C43—22no—
1119D4×C43—22no—
1120D4×C43—42no—
1121D4×C43—44no—
1122D4×C43—42no—
1123C2×C4×C43—24no—
1124C2×C4×C43—22no—
1125C2×C4×C43—22no—
1126C2×C4×C43—24no—
1127C2×C4×C43—41no—
1128C2×C4×C43—44no—
1129C2×C4×C43—44no—
1130C2×C4×C43—42no—
1131C2×C4×C43—44no—
1132C2×C4×C43—42no—
1133C2×C4×C43C2511yescharacteristic
1134C2×C4×C43C2511yescharacteristic
1135C2×C4×C43C2514yes—
1136C2×C4×C43C2511yescharacteristic
1137C2×C4×C43C2512yes—
1138C2×C4×C43C2512yes—
1139C2×C4×C43C2511yescharacteristic
1140C2×C4×C43C2514yes—
1141C2×C4×C43C2512yes—
1142C2×C4×C43C2512yes—
1143C2×C4×C43C2512yes—
1144C2×C4×C43C2512yes—
1145C2×C4×C43C2511yescharacteristic
1146C2×C4×C43C2511yescharacteristic
1147C22⋊D43—24no—
1148C22⋊D43—42no—
1149C22⋊D43—44no—
1150C22⋊D43—44no—
1151C22⋊D43—44no—
1152C22⋊D43—42no—
1153C22⋊D43—42no—
1154C22⋊D43—42no—
1155C22⋊D43—44no—
1156C22⋊D43—44no—
1157C22⋊D43—42no—
1158C22⋊D43—42no—
1159C22⋊D43—42no—
1160C2×Dic43—42no—
1161C2×Dic43—41no—
1162C2×Dic43—41no—
1163C2×Dic43—41no—
1164C2×Dic43C2511yescharacteristic
1165C2×Dic43C2511yescharacteristic
1166C2×Dic43C2511yescharacteristic
1167C2×Dic43C2512yes—
1168C2×Dic43C2512yes—
1169C2×Dic43C2511yescharacteristic
1170C2×Dic43C2512yes—
1171C2×Dic43C2512yes—
1172C2×Dic43C2511yescharacteristic
1173C2×Dic43C2511yescharacteristic
1174C2×Dic43C2512yes—
1175C2×Dic43C2514yes—
1176C2×Dic43C2512yes—
1177D172—24no—
1178D172—28no—
1179D172—22no—
1180D172—24no—
1181D172—22no—
1182D172—24no—
1183D172—44no—
1184D172—44no—
1185D172—44no—
1186D172—42no—
1187D172—42no—
1188D172—44no—
1189D172—42no—
1190D172—44no—
1191C4×D43—22no—
1192C4×D43—22no—
1193C4×D43—24no—
1194C4×D43—22no—
1195C4×D43—22no—
1196C4×D43—22no—
1197C4×D43—24no—
1198C4×D43—22no—
1199C4×D43—24no—
1200C4×D43—42no—
1201C4×D43—41no—
1202C4×D43—41no—
1203C4×D43—41no—
1204C4×D43—41no—
1205C4×D43—41no—
1206C4×D43—41no—
1207C4×D43—42no—
1208C4×D43—42no—
1209C4×D43—44no—
1210C4×D43—44no—
1211C4×D43—44no—
1212C4×D43—42no—
1213C4×D43—44no—
1214C4×D43—44no—
1215C4×D43—42no—
1216C4×D43—44no—
1217C4×D43—44no—
1218C4×D43—44no—
1219C4×D43—44no—
1220Dic86—24no—
1221Dic86—22no—
1222Dic86—22no—
1223Dic86—42no—
1224Dic86—42no—
1225Dic86—44no—
1226Dic86—44no—
1227Dic86—44no—
1228Dic86—42no—
1229#62827—431nomaximal, Sylow
1230C22×C43—22no—
1231C22×C43—21no—
1232C22×C43—22no—
1233C22×C43—22no—
1234C22×C43—21no—
1235C22×C43—21no—
1236C22×C43—22no—
1237C22×C43—22no—
1238C22×C43—22no—
1239C22×C43C2611yescharacteristic
1240C2×D43—21no—
1241C2×D43—21no—
1242C2×D43—21no—
1243C2×D43—22no—
1244C2×D43—22no—
1245C2×D43—22no—
1246C2×D43—22no—
1247C2×D43—22no—
1248C2×D43—21no—
1249C2×D43—21no—
1250C2×D43—24no—
1251C2×D43—24no—
1252C2×D43—22no—
1253C2×D43—24no—
1254C2×D43—44no—
1255C2×D43—84no—
1256C2×D43—164no—
1257C2×D43#58512yes—
1258C4×C43—22no—
1259C4×C43—22no—
1260C4×C43—24no—
1261C4×C43—24no—
1262C4×C43—22no—
1263C4×C43—21no—
1264C4×C43—22no—
1265C4×C43—21no—
1266C4×C43—21no—
1267C4×C43—21no—
1268C4×C43—22no—
1269C4×C43—22no—
1270C4×C43#58512yes—
1271C4×C43#58512yes—
1272Dic43—22no—
1273Dic43—24no—
1274Dic43—22no—
1275Dic43—22no—
1276Dic43—22no—
1277Dic43—22no—
1278Dic43—21no—
1279Dic43—21no—
1280Dic43—21no—
1281Dic43—22no—
1282Dic43—21no—
1283Dic43—21no—
1284Dic43—21no—
1285#3566—434no—
1286#3566—434no—
1287#3565—432no—
1288#3562—432no—
1289#3555—431no—
1290#3554—431no—
1291#3547—431no—
1292#3546—431no—
1293#3542—432no—
1294#3541—432no—
1295#3533—434no—
1296#3524—432no—
1297#3524—432no—
1298#3523—431no—
1299#3522—431no—
1300#3521—432no—
1301#3521—434no—
1302#3521—432no—
1303#3520—431no—
1304#3519—431no—
1305#3518—431no—
1306#3517—431no—
1307#3515—432no—
1308#3515D4311yescharacteristic, complemented
1309#3514—431no—
1310#3514—432no—
1311#3512—432no—
1312#3510—432no—
1313#3506—432no—
1314#3505—432no—
1315#3495—432no—
1316#3494—432no—
1317#3444—431no—
1318#3444—431no—
1319C2×#529—431no—
1320C2×C43—41no—
1321C2×C43—42no—
1322C2×C43—42no—
1323C2×C43C2×#58511yescharacteristic
1324C2×C43C2×#58511yescharacteristic
1325C2×C43C2×#58511yescharacteristic
1326D43—22no—
1327D43—41no—
1328D43—42no—
1329D43—44no—
1330D43—42no—
1331#563—434no—
1332#563—434no—
1333#562—434no—
1334#562—434no—
1335#562—434no—
1336#562—434no—
1337#560—434no—
1338#560—434no—
1339#559—434no—
1340#559—434no—
1341#559—431no—
1342#559—432no—
1343#559—434no—
1344#559—432no—
1345Q82—431no—
1346#557—432no—
1347#557—431no—
1348#557—432no—
1349#557C2×D4311yescharacteristic, complemented
1350#556—431no—
1351#556—432no—
1352#556—434no—
1353#556—432no—
1354#556—432no—
1355#556—434no—
1356#556—431no—
1357#556—432no—
1358#556—434no—
1359#556—432no—
1360#555—431no—
1361#555—432no—
1362#555—432no—
1363#555—434no—
1364#555—434no—
1365#555—432no—
1366#554—434no—
1367#554—432no—
1368#554—432no—
1369#554—432no—
1370#554C2×D4311yescharacteristic, complemented
1371#554C2×D4311yescharacteristic, complemented
1372#553—434no—
1373#553—432no—
1374#553—434no—
1375#553—432no—
1376#553—434no—
1377#553—434no—
1378#553—434no—
1379#553—432no—
1380#553—434no—
1381#553—434no—
1382#553—434no—
1383#553—434no—
1384#553—434no—
1385#553—432no—
1386#553—432no—
1387#553C2×D4312yes—
1388#552—434no—
1389#552—434no—
1390#552—434no—
1391#552—434no—
1392#552—434no—
1393#552—434no—
1394#552—432no—
1395#552—434no—
1396#552—432no—
1397#552—432no—
1398#552—432no—
1399#552—434no—
1400#552C2×D4312yescomplemented
1401#552C2×D4314yescomplemented
1402#552C2×D4312yescomplemented
1403#551—434no—
1404#551—434no—
1405#551—434no—
1406#551—434no—
1407#551—434no—
1408#551—434no—
1409#551—434no—
1410#551—434no—
1411#551—434no—
1412#551—434no—
1413#551—434no—
1414#550—432no—
1415#550—432no—
1416#550—431no—
1417#550—431no—
1418#550—432no—
1419D4×Q8—431no—
1420D4×Q8—432no—
1421D4×Q8—431no—
1422#548—432no—
1423#548—432no—
1424#548—432no—
1425#548—432no—
1426#548—432no—
1427#548—432no—
1428#547—432no—
1429#547—434no—
1430#547—431no—
1431#547—432no—
1432#547—434no—
1433#547—432no—
1434#547C2×D4312yescomplemented
1435#547C2×D4311yescharacteristic, complemented
1436#546—432no—
1437#546—434no—
1438#546—432no—
1439#546—432no—
1440#546—432no—
1441#546—432no—
1442#546—434no—
1443#546—434no—
1444#546—432no—
1445D42—432no—
1446D42—431no—
1447#544—432no—
1448#544—432no—
1449#542—434no—
1450#542—432no—
1451#542—432no—
1452#542—434no—
1453#542—434no—
1454#542—434no—
1455#542—432no—
1456#542—432no—
1457#542—432no—
1458#542—432no—
1459#542—432no—
1460#542—432no—
1461#542—434no—
1462#542—434no—
1463#541—432no—
1464#541—432no—
1465#541—434no—
1466#541—434no—
1467#541—432no—
1468#541—434no—
1469#541C2×D4312yescomplemented
1470#540—432no—
1471#540—432no—
1472#540—434no—
1473#540—432no—
1474#540—432no—
1475#540—434no—
1476#540—434no—
1477#539—434no—
1478#539—434no—
1479#539—434no—
1480#539—434no—
1481#539—434no—
1482#539—434no—
1483#539C2×D4314yescomplemented
1484#538—434no—
1485#538—434no—
1486#538—434no—
1487#538—434no—
1488#538—434no—
1489#538—434no—
1490#538—434no—
1491#538—434no—
1492#538—434no—
1493#537—432no—
1494#537—432no—
1495#536—432no—
1496#536—432no—
1497#535—432no—
1498#535—432no—
1499#535—434no—
1500#534—434no—
1501#533—431no—
1502#533—431no—
1503#533—432no—
1504#533—432no—
1505#533—431no—
1506#533—431no—
1507#533—431no—
1508#533C2×D4311yescharacteristic, complemented
1509#532—431no—
1510#532—431no—
1511#532—431no—
1512#532—431no—
1513#532—431no—
1514#532—432no—
1515#532—431no—
1516#532—432no—
1517#529—432no—
1518#529—431no—
1519#529—432no—
1520#529—432no—
1521#529—432no—
1522#529—432no—
1523#529—432no—
1524#529—434no—
1525#529—431no—
1526#529—432no—
1527#529—431no—
1528#529—432no—
1529#529—432no—
1530#529—431no—
1531#529—431no—
1532#529—431no—
1533#529—432no—
1534#529—431no—
1535#529—432no—
1536#529—432no—
1537#529—432no—
1538#529—431no—
1539#529—432no—
1540#529—432no—
1541#529—431no—
1542#529—431no—
1543#529—434no—
1544#529—432no—
1545#529—432no—
1546#529—432no—
1547#529—434no—
1548#529—431no—
1549#529—432no—
1550#529C2×D4311yescharacteristic
1551#529C2×D4312yescomplemented
1552C2×#126—432no—
1553C2×#126—434no—
1554C2×#125—431no—
1555C2×#125C2×D4312yescomplemented
1556C2×#124—431no—
1557C2×#124—432no—
1558#525—431no—
1559#525—432no—
1560#525—432no—
1561#525—432no—
1562#525—432no—
1563#525—432no—
1564#525—432no—
1565#525—431no—
1566#525—432no—
1567C2×#123—432no—
1568C2×C22⋊Q8—431no—
1569C2×C22⋊Q8—432no—
1570C2×#121—431no—
1571C2×#121—432no—
1572#520—432no—
1573#520—434no—
1574#520—432no—
1575#520—432no—
1576#520C2×D4312yescomplemented
1577#519—432no—
1578#519—432no—
1579#518—432no—
1580#518—432no—
1581#518—434no—
1582C4×#41—432no—
1583C4×#41—432no—
1584C4×#41—432no—
1585C4×#41—432no—
1586C4×#41—432no—
1587C4×#41—431no—
1588C4×#41C2×D4311yescharacteristic, complemented
1589C2×C4×Q8—431no—
1590C2×C4×D4—431no—
1591C2×C4×D4—432no—
1592C2×#117—432no—
1593C22×C42—431no—
1594C43#6282711yescharacteristic, complemented, Sylow
1595C2×#41—432no—
1596C2×#41—432no—
1597C2×#41—432no—
1598C2×#41—432no—
1599C2×#41—432no—
1600C2×#41—431no—
1601C2×#41—432no—
1602C2×#41—434no—
1603C2×#41—432no—
1604C2×#41—432no—
1605C2×#41C22×D4311yescharacteristic
1606C2×#41C22×D4312yes—
1607C22×Q8—431no—
1608C22×Q8—432no—
1609C22×Q8—432no—
1610C22×D4—432no—
1611C22×D4—431no—
1612C22×D4—432no—
1613C22×D4—434no—
1614C22×D4—432no—
1615C23×C4—432no—
1616C23×C4—431no—
1617C23×C4—431no—
1618C23×C4—431no—
1619C4⋊Q8—431no—
1620C4⋊Q8—434no—
1621C4⋊Q8—431no—
1622C4⋊Q8—431no—
1623C4⋊Q8—432no—
1624C4⋊Q8—432no—
1625C4⋊Q8—432no—
1626C4⋊Q8—434no—
1627C4⋊Q8—434no—
1628C4⋊Q8—431no—
1629C4⋊Q8—432no—
1630C4⋊Q8—432no—
1631C4⋊Q8—434no—
1632C4⋊Q8C22×D4311yescharacteristic
1633C4⋊Q8C22×D4311yescharacteristic
1634C4⋊Q8C22×D4312yes—
1635#127—431no—
1636#127—432no—
1637#127—434no—
1638#127—434no—
1639#127—431no—
1640#127—432no—
1641#126—432no—
1642#126—432no—
1643#126—432no—
1644#126—432no—
1645#126—434no—
1646#126—434no—
1647#126—432no—
1648#126—434no—
1649#126—434no—
1650#126—434no—
1651#126—434no—
1652#126—434no—
1653#126—434no—
1654#126—434no—
1655#126—434no—
1656#126—434no—
1657#126—434no—
1658#126—434no—
1659#126—434no—
1660#126—432no—
1661#126—432no—
1662#126—432no—
1663#126—434no—
1664#126—434no—
1665#126—432no—
1666#126—432no—
1667#126—434no—
1668#126—434no—
1669#126—434no—
1670#126—434no—
1671#126—432no—
1672#126—434no—
1673#126—434no—
1674#126—434no—
1675#126C22×D4312yes—
1676#126C22×D4314yes—
1677#126C22×D4314yes—
1678#126C22×D4314yes—
1679#125—432no—
1680#125—432no—
1681#125—431no—
1682#125—431no—
1683#125—432no—
1684#125—432no—
1685#125—432no—
1686#125—432no—
1687#125—431no—
1688#125—431no—
1689#125—434no—
1690#125—434no—
1691#125—432no—
1692#125—434no—
1693#125—434no—
1694#125—434no—
1695#125—434no—
1696#125—434no—
1697#125—434no—
1698#125—434no—
1699#125—434no—
1700#125—431no—
1701#125C22×D4311yescharacteristic
1702#125C22×D4312yes—
1703#125C22×D4314yes—
1704#125C22×D4314yes—
1705#125C22×D4312yes—
1706#125C22×D4312yes—
1707#125C22×D4314yes—
1708#125C22×D4312yes—
1709#125C22×D4314yes—
1710#124—431no—
1711#124—432no—
1712#124—432no—
1713#124—432no—
1714#124—431no—
1715#124—432no—
1716#124—434no—
1717#124—431no—
1718#124—432no—
1719#124—431no—
1720#124—434no—
1721#124—432no—
1722#124—432no—
1723#124—434no—
1724#124—434no—
1725#124—432no—
1726#124—432no—
1727#124—434no—
1728#124—434no—
1729#124—434no—
1730#124—434no—
1731#124—434no—
1732#124—434no—
1733#124—434no—
1734#124—434no—
1735#124—434no—
1736#124—431no—
1737#124—432no—
1738#124—432no—
1739#124—434no—
1740#124—434no—
1741#124—434no—
1742#124C22×D4311yescharacteristic
1743#123—432no—
1744#123—432no—
1745#123—434no—
1746#123—432no—
1747#123—434no—
1748#123—434no—
1749#123—434no—
1750#123—434no—
1751#123—432no—
1752#123—432no—
1753#123—432no—
1754#123—432no—
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#123—434no—
1766#123—434no—
1767#123—434no—
1768#123—434no—
1769#123—434no—
1770#123—434no—
1771#123—434no—
1772#123—432no—
1773#123—432no—
1774#123—432no—
1775#123—432no—
1776#123—432no—
1777#123—432no—
1778#123—434no—
1779#123—434no—
1780#123—434no—
1781#123—434no—
1782#123—434no—
1783#123—434no—
1784#123—434no—
1785#123—434no—
1786#123—434no—
1787#123C22×D4312yes—
1788#123C22×D4314yes—
1789#123C22×D4314yes—
1790#123C22×D4314yes—
1791#123C22×D4314yes—
1792C22⋊Q8—432no—
1793C22⋊Q8—431no—
1794C22⋊Q8—431no—
1795C22⋊Q8—431no—
1796C22⋊Q8—432no—
1797C22⋊Q8—432no—
1798C22⋊Q8—431no—
1799C22⋊Q8—432no—
1800C22⋊Q8—432no—
1801C22⋊Q8—434no—
1802C22⋊Q8—434no—
1803C22⋊Q8—434no—
1804C22⋊Q8—431no—
1805C22⋊Q8—431no—
1806C22⋊Q8—432no—
1807C22⋊Q8—434no—
1808C22⋊Q8—432no—
1809C22⋊Q8—432no—
1810C22⋊Q8—431no—
1811C22⋊Q8—432no—
1812C22⋊Q8—432no—
1813C22⋊Q8—432no—
1814C22⋊Q8—432no—
1815C22⋊Q8—434no—
1816C22⋊Q8—434no—
1817C22⋊Q8—434no—
1818C22⋊Q8—434no—
1819C22⋊Q8—434no—
1820C22⋊Q8—434no—
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—432no—
1833C22⋊Q8—434no—
1834C22⋊Q8—432no—
1835C22⋊Q8—432no—
1836C22⋊Q8C22×D4311yescharacteristic
1837C22⋊Q8C22×D4312yes—
1838C22⋊Q8C22×D4312yes—
1839C22⋊Q8C22×D4312yes—
1840C22⋊Q8C22×D4312yes—
1841C22⋊Q8C22×D4312yes—
1842C22⋊Q8C22×D4314yes—
1843C22⋊Q8C22×D4314yes—
1844#121—431no—
1845#121—432no—
1846#121—431no—
1847#121—432no—
1848#121—431no—
1849#121—432no—
1850#121—432no—
1851#121—434no—
1852#121—434no—
1853#121—434no—
1854#121—434no—
1855#121—431no—
1856#121—432no—
1857#121—432no—
1858#121—432no—
1859#121—432no—
1860#121—434no—
1861#121—434no—
1862#121—434no—
1863#121—434no—
1864#121—434no—
1865#121—434no—
1866#121—434no—
1867#121—434no—
1868#121—431no—
1869#121—432no—
1870#121—431no—
1871#121—434no—
1872#121—434no—
1873#121—432no—
1874#121—432no—
1875#121—432no—
1876#121—432no—
1877#121—431no—
1878#121—432no—
1879#121—432no—
1880#121—432no—
1881#121—434no—
1882#121—434no—
1883#121—434no—
1884#121—434no—
1885#121—434no—
1886#121—434no—
1887#121—432no—
1888#121—432no—
1889#121—432no—
1890#121—434no—
1891#121—434no—
1892#121—434no—
1893#121—434no—
1894#121—434no—
1895#121—434no—
1896#121—434no—
1897#121C22×D4311yescharacteristic
1898#121C22×D4312yes—
1899#121C22×D4314yes—
1900#120—432no—
1901#120—434no—
1902#120—434no—
1903#120—434no—
1904#120—434no—
1905#120—432no—
1906#120—434no—
1907#120—434no—
1908#120—434no—
1909#120—434no—
1910#120—434no—
1911C4×Q8—431no—
1912C4×Q8—432no—
1913C4×Q8—432no—
1914C4×Q8—432no—
1915C4×Q8—432no—
1916C4×Q8—431no—
1917C4×Q8—432no—
1918C4×Q8—432no—
1919C4×Q8—432no—
1920C4×Q8—432no—
1921C4×Q8—434no—
1922C4×Q8—434no—
1923C4×Q8—432no—
1924C4×Q8—432no—
1925C4×Q8—434no—
1926C4×Q8—434no—
1927C4×Q8—431no—
1928C4×Q8—432no—
1929C4×Q8—431no—
1930C4×Q8—432no—
1931C4×Q8—431no—
1932C4×Q8—432no—
1933C4×Q8—432no—
1934C4×Q8—432no—
1935C4×Q8—432no—
1936C4×Q8—434no—
1937C4×Q8—434no—
1938C4×Q8C22×D4311yescharacteristic
1939C4×Q8C22×D4312yes—
1940C4×Q8C22×D4312yes—
1941C4×Q8C22×D4311yescharacteristic
1942C4×Q8C22×D4311yescharacteristic
1943C4×Q8C22×D4312yes—
1944C4×Q8C22×D4312yes—
1945C4×D4—431no—
1946C4×D4—432no—
1947C4×D4—432no—
1948C4×D4—432no—
1949C4×D4—432no—
1950C4×D4—432no—
1951C4×D4—432no—
1952C4×D4—432no—
1953C4×D4—432no—
1954C4×D4—432no—
1955C4×D4—432no—
1956C4×D4—432no—
1957C4×D4—432no—
1958C4×D4—432no—
1959C4×D4—432no—
1960C4×D4—434no—
1961C4×D4—434no—
1962C4×D4—434no—
1963C4×D4—434no—
1964C4×D4—434no—
1965C4×D4—434no—
1966C4×D4—434no—
1967C4×D4—434no—
1968C4×D4—431no—
1969C4×D4—432no—
1970C4×D4—434no—
1971C4×D4—432no—
1972C4×D4—434no—
1973C4×D4—432no—
1974C4×D4—432no—
1975C4×D4—432no—
1976C4×D4—434no—
1977C4×D4—434no—
1978C4×D4—434no—
1979C4×D4—434no—
1980C4×D4—434no—
1981C4×D4—434no—
1982C4×D4—434no—
1983C4×D4—432no—
1984C4×D4—432no—
1985C4×D4—432no—
1986C4×D4—432no—
1987C4×D4—432no—
1988C4×D4—432no—
1989C4×D4—434no—
1990C4×D4—434no—
1991C4×D4—434no—
1992C4×D4—432no—
1993C4×D4—431no—
1994C4×D4—432no—
1995C4×D4—431no—
1996C4×D4—432no—
1997C4×D4—434no—
1998C4×D4—432no—
1999C4×D4—434no—
2000C4×D4—432no—
2001C4×D4—432no—
2002C4×D4—431no—
2003C4×D4—432no—
2004C4×D4—434no—
2005C4×D4—434no—
2006C4×D4—432no—
2007C4×D4—432no—
2008C4×D4—432no—
2009C4×D4—434no—
2010C4×D4—434no—
2011C4×D4C22×D4311yescharacteristic
2012C4×D4C22×D4312yes—
2013C4×D4C22×D4311yescharacteristic
2014C4×D4C22×D4312yes—
2015C4×D4C22×D4312yes—
2016C4×D4C22×D4311yescharacteristic
2017C4×D4C22×D4312yes—
2018C4×D4C22×D4314yes—
2019C4×D4C22×D4314yes—
2020C4×D4C22×D4312yes—
2021#117—432no—
2022#117—432no—
2023#117—431no—
2024#117—432no—
2025#117—432no—
2026#117—434no—
2027#117—434no—
2028#117—432no—
2029#117—432no—
2030#117—432no—
2031#117—432no—
2032#117—434no—
2033#117—434no—
2034#117—432no—
2035#117—432no—
2036#117—434no—
2037#117—434no—
2038#117—432no—
2039#117—434no—
2040#117—434no—
2041#117—434no—
2042#117—434no—
2043#117—432no—
2044#117—432no—
2045#117—432no—
2046#117—432no—
2047#117—432no—
2048#117—432no—
2049#117—432no—
2050#117—432no—
2051#117—432no—
2052#117—434no—
2053#117—434no—
2054#117—434no—
2055#117—434no—
2056#117C22×D4312yes—
2057#117C22×D4312yes—
2058#117C22×D4311yescharacteristic
2059#117C22×D4312yes—
2060#117C22×D4314yes—
2061#117C22×D4314yes—
2062C2×C4⋊C4—432no—
2063C2×C4⋊C4—432no—
2064C2×C4⋊C4—432no—
2065C2×C4⋊C4—431no—
2066C2×C4⋊C4—431no—
2067C2×C4⋊C4—432no—
2068C2×C4⋊C4—434no—
2069C2×C4⋊C4—432no—
2070C2×C4⋊C4—434no—
2071C2×C4⋊C4—434no—
2072C2×C4⋊C4—434no—
2073C2×C4⋊C4C22×D4312yes—
2074C2×C4⋊C4C22×D4312yes—
2075C2×C4⋊C4C22×D4314yes—
2076C2×C4⋊C4C22×D4312yes—
2077C2×C4⋊C4C22×D4314yes—
2078C2×C22⋊C4—434no—
2079C2×C22⋊C4—432no—
2080C2×C22⋊C4—432no—
2081C2×C22⋊C4—432no—
2082C2×C22⋊C4—432no—
2083C2×C22⋊C4—432no—
2084C2×C22⋊C4—434no—
2085C2×C22⋊C4—434no—
2086C2×C22⋊C4—434no—
2087C2×C22⋊C4—434no—
2088C2×C22⋊C4—434no—
2089C2×C22⋊C4—434no—
2090C2×C42—431no—
2091C2×C42—431no—
2092C2×C42—431no—
2093C2×C42—431no—
2094C2×C42—432no—
2095C2×C42—431no—
2096C2×C42—432no—
2097C2×C42—434no—
2098C2×C42—431no—
2099C2×C42—431no—
2100C2×C42—431no—
2101C2×C42—431no—
2102C2×C42—431no—
2103C2×C42—431no—
2104C2×C42C22×D4312yes—
2105C2×C42C22×D4311yescharacteristic
2106C24—432no—
2107C24—431no—
2108C24—434no—
2109#41—44no—
2110#41—42no—
2111#41—1724no—
2112#41—1722no—
2113#41—1724no—
2114#41—1724no—
2115#41—1724no—
2116#41—1724no—
2117#41—1728no—
2118#41—1724no—
2119#41—1724no—
2120#41—1724no—
2121C2×Q8—431no—
2122C2×Q8—431no—
2123C2×Q8—432no—
2124C2×Q8—434no—
2125C2×Q8—432no—
2126C2×Q8—432no—
2127C2×Q8—432no—
2128C2×Q8—434no—
2129C2×Q8—434no—
2130C2×Q8—1724no—
2131C2×Q8—1722no—
2132C2×Q8—1724no—
2133C2×Q8C23×D4312yes—
2134C2×Q8C23×D4311yescharacteristic
2135C2×Q8C23×D4311yescharacteristic
2136C2×Q8C23×D4312yes—
2137C2×D4—432no—
2138C2×D4—432no—
2139C2×D4—432no—
2140C2×D4—432no—
2141C2×D4—432no—
2142C2×D4—434no—
2143C2×D4—434no—
2144C2×D4—432no—
2145C2×D4—434no—
2146C2×D4—434no—
2147C2×D4—432no—
2148C2×D4—434no—
2149C2×D4—432no—
2150C2×D4—434no—
2151C2×D4—432no—
2152C2×D4—431no—
2153C2×D4—432no—
2154C2×D4—431no—
2155C2×D4—432no—
2156C2×D4—432no—
2157C2×D4—434no—
2158C2×D4—432no—
2159C2×D4—434no—
2160C2×D4—434no—
2161C2×D4—434no—
2162C2×D4—432no—
2163C2×D4—434no—
2164C2×D4—1724no—
2165C2×D4—1728no—
2166C2×D4—1722no—
2167C2×D4—1724no—
2168C2×D4—1724no—
2169C2×D4C23×D4311yescharacteristic
2170C2×D4C23×D4311yescharacteristic
2171C2×D4C23×D4312yes—
2172C2×D4C23×D4314yes—
2173C2×D4C23×D4312yes—
2174C22×C4—431no—
2175C22×C4—431no—
2176C22×C4—431no—
2177C22×C4—432no—
2178C22×C4—431no—
2179C22×C4—431no—
2180C22×C4—431no—
2181C22×C4—431no—
2182C22×C4—431no—
2183C22×C4—431no—
2184C22×C4—432no—
2185C22×C4—432no—
2186C22×C4—432no—
2187C22×C4—431no—
2188C22×C4—431no—
2189C22×C4—431no—
2190C22×C4—431no—
2191C22×C4—431no—
2192C22×C4—431no—
2193C22×C4—432no—
2194C22×C4—432no—
2195C22×C4—432no—
2196C22×C4—434no—
2197C22×C4—434no—
2198C22×C4—434no—
2199C22×C4—432no—
2200C22×C4—434no—
2201C22×C4—434no—
2202C22×C4—434no—
2203C22×C4—434no—
2204C22×C4—434no—
2205C22×C4—434no—
2206C22×C4—432no—
2207C22×C4—1724no—
2208C22×C4—1722no—
2209C22×C4—1722no—
2210C22×C4—1722no—
2211C22×C4C23×D4311yescharacteristic
2212C22×C4C23×D4311yescharacteristic
2213C22×C4C23×D4312yes—
2214C22×C4C23×D4312yes—
2215C22×C4C23×D4311yescharacteristic
2216C22×C4C23×D4312yes—
2217C22×C4C23×D4312yes—
2218C22×C4C23×D4314yes—
2219C22×C4C23×D4314yes—
2220C22×C4C23×D4314yes—
2221C4⋊C4—432no—
2222C4⋊C4—432no—
2223C4⋊C4—432no—
2224C4⋊C4—432no—
2225C4⋊C4—432no—
2226C4⋊C4—432no—
2227C4⋊C4—434no—
2228C4⋊C4—432no—
2229C4⋊C4—431no—
2230C4⋊C4—432no—
2231C4⋊C4—434no—
2232C4⋊C4—431no—
2233C4⋊C4—432no—
2234C4⋊C4—432no—
2235C4⋊C4—432no—
2236C4⋊C4—432no—
2237C4⋊C4—432no—
2238C4⋊C4—432no—
2239C4⋊C4—432no—
2240C4⋊C4—432no—
2241C4⋊C4—434no—
2242C4⋊C4—434no—
2243C4⋊C4—434no—
2244C4⋊C4—434no—
2245C4⋊C4—432no—
2246C4⋊C4—432no—
2247C4⋊C4—431no—
2248C4⋊C4—432no—
2249C4⋊C4—431no—
2250C4⋊C4—432no—
2251C4⋊C4—434no—
2252C4⋊C4—432no—
2253C4⋊C4—432no—
2254C4⋊C4—434no—
2255C4⋊C4—432no—
2256C4⋊C4—432no—
2257C4⋊C4—432no—
2258C4⋊C4—432no—
2259C4⋊C4—432no—
2260C4⋊C4—434no—
2261C4⋊C4—434no—
2262C4⋊C4—434no—
2263C4⋊C4—432no—
2264C4⋊C4—432no—
2265C4⋊C4—432no—
2266C4⋊C4—434no—
2267C4⋊C4—434no—
2268C4⋊C4—434no—
2269C4⋊C4C23×D4311yescharacteristic
2270C4⋊C4C23×D4312yes—
2271C4⋊C4C23×D4312yes—
2272C4⋊C4C23×D4312yes—
2273C4⋊C4C23×D4311yescharacteristic
2274C4⋊C4C23×D4311yescharacteristic
2275C4⋊C4C23×D4314yes—
2276C4⋊C4C23×D4314yes—
2277C4⋊C4C23×D4314yes—
2278C4⋊C4C23×D4312yes—
2279C4⋊C4C23×D4312yes—
2280C4⋊C4C23×D4311yescharacteristic
2281C4⋊C4C23×D4314yes—
2282C4⋊C4C23×D4312yes—
2283C4⋊C4C23×D4314yes—
2284C4⋊C4C23×D4312yes—
2285C4⋊C4C23×D4314yes—
2286C4⋊C4C23×D4312yes—
2287C4⋊C4C23×D4314yes—
2288C4⋊C4C23×D4314yes—
2289C4⋊C4C23×D4312yes—
2290C4⋊C4C23×D4314yes—
2291C4⋊C4C23×D4314yes—
2292C4⋊C4C23×D4312yes—
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—432no—
2302C22⋊C4—432no—
2303C22⋊C4—432no—
2304C22⋊C4—432no—
2305C22⋊C4—434no—
2306C22⋊C4—432no—
2307C22⋊C4—432no—
2308C22⋊C4—432no—
2309C22⋊C4—432no—
2310C22⋊C4—432no—
2311C22⋊C4—434no—
2312C22⋊C4—432no—
2313C22⋊C4—432no—
2314C22⋊C4—434no—
2315C22⋊C4—432no—
2316C22⋊C4—434no—
2317C22⋊C4—434no—
2318C22⋊C4—434no—
2319C22⋊C4—432no—
2320C22⋊C4—432no—
2321C22⋊C4—432no—
2322C22⋊C4—432no—
2323C22⋊C4—434no—
2324C22⋊C4—434no—
2325C22⋊C4—432no—
2326C22⋊C4—434no—
2327C22⋊C4—432no—
2328C22⋊C4—434no—
2329C22⋊C4—434no—
2330C22⋊C4—432no—
2331C22⋊C4—432no—
2332C22⋊C4—434no—
2333C22⋊C4—434no—
2334C22⋊C4—432no—
2335C22⋊C4—432no—
2336C22⋊C4—434no—
2337C22⋊C4—434no—
2338C22⋊C4—432no—
2339C22⋊C4—432no—
2340C22⋊C4—434no—
2341C22⋊C4—434no—
2342C22⋊C4—434no—
2343C22⋊C4—434no—
2344C22⋊C4—434no—
2345C22⋊C4—434no—
2346C22⋊C4C23×D4312yes—
2347C22⋊C4C23×D4312yes—
2348C22⋊C4C23×D4312yes—
2349C22⋊C4C23×D4314yes—
2350C22⋊C4C23×D4314yes—
2351C22⋊C4C23×D4312yes—
2352C22⋊C4C23×D4312yes—
2353C22⋊C4C23×D4312yes—
2354C22⋊C4C23×D4314yes—
2355C22⋊C4C23×D4312yes—
2356C22⋊C4C23×D4312yes—
2357C22⋊C4C23×D4314yes—
2358C42—431no—
2359C42—431no—
2360C42—431no—
2361C42—431no—
2362C42—431no—
2363C42—431no—
2364C42—431no—
2365C42—431no—
2366C42—431no—
2367C42—431no—
2368C42—431no—
2369C42—431no—
2370C42—432no—
2371C42—434no—
2372C42—434no—
2373C42—432no—
2374C42—432no—
2375C42—432no—
2376C42—432no—
2377C42—432no—
2378C42—434no—
2379C42—434no—
2380C42—434no—
2381C42—434no—
2382C42—434no—
2383C42C23×D4311yescharacteristic
2384C42C23×D4311yescharacteristic
2385C42C23×D4311yescharacteristic
2386C42C23×D4311yescharacteristic
2387C42C23×D4314yes—
2388C42C23×D4312yes—
2389C42C23×D4312yes—
2390C42C23×D4312yes—
2391C42C23×D4312yes—
2392C42C23×D4314yes—
2393C23—431no—
2394C23—432no—
2395C23—434no—
2396C23—431no—
2397C23—432no—
2398C23—864no—
2399C23—862no—
2400C23—1722no—
2401C23—1722no—
2402C23—1721no—
2403C23—1721no—
2404C23—1724no—
2405C23—1724no—
2406C23—1724no—
2407C23C24×D4312yes—
2408C23C24×D4312yes—
2409C23C24×D4311yescharacteristic
2410Q8—24no—
2411Q8—22no—
2412Q8—22no—
2413Q8—42no—
2414Q8—862no—
2415Q8—862no—
2416Q8—864no—
2417Q8—1724no—
2418Q8—1722no—
2419Q8—1724no—
2420Q8—1722no—
2421Q8—1724no—
2422Q8—1722no—
2423D4—22no—
2424D4—22no—
2425D4—42no—
2426D4—42no—
2427D4—44no—
2428D4—864no—
2429D4—868no—
2430D4—864no—
2431D4—862no—
2432D4—864no—
2433D4—862no—
2434D4—864no—
2435D4—1724no—
2436D4—1722no—
2437D4—1724no—
2438D4—1724no—
2439D4—1722no—
2440D4—1724no—
2441D4—1724no—
2442D4—1722no—
2443D4—1722no—
2444D4—1722no—
2445D4—1722no—
2446D4—1724no—
2447D4—1722no—
2448D4—1724no—
2449D4—1722no—
2450D4—1722no—
2451D4—1722no—
2452D4—1724no—
2453D4—1724no—
2454D4—1724no—
2455C2×C4—24no—
2456C2×C4—22no—
2457C2×C4—22no—
2458C2×C4—24no—
2459C2×C4—41no—
2460C2×C4—44no—
2461C2×C4—42no—
2462C2×C4—44no—
2463C2×C4—42no—
2464C2×C4—44no—
2465C2×C4—431no—
2466C2×C4—431no—
2467C2×C4—431no—
2468C2×C4—432no—
2469C2×C4—432no—
2470C2×C4—432no—
2471C2×C4—432no—
2472C2×C4—431no—
2473C2×C4—431no—
2474C2×C4—431no—
2475C2×C4—432no—
2476C2×C4—434no—
2477C2×C4—432no—
2478C2×C4—862no—
2479C2×C4—862no—
2480C2×C4—864no—
2481C2×C4—862no—
2482C2×C4—864no—
2483C2×C4—862no—
2484C2×C4—862no—
2485C2×C4—862no—
2486C2×C4—864no—
2487C2×C4—1721no—
2488C2×C4—1721no—
2489C2×C4—1721no—
2490C2×C4—1721no—
2491C2×C4—1722no—
2492C2×C4—1722no—
2493C2×C4—1721no—
2494C2×C4—1721no—
2495C2×C4—1724no—
2496C2×C4—1722no—
2497C2×C4—1724no—
2498C2×C4—1722no—
2499C2×C4—1724no—
2500C2×C4—1724no—
2501C2×C4—1722no—
2502C2×C4—1724no—
2503C2×C4—1724no—
2504C2×C4—1724no—
2505C2×C4—1724no—
2506C2×C4—1724no—
2507C2×C4—1721no—
2508C2×C4—1721no—
2509C2×C4—1722no—
2510C2×C4—1721no—
2511C2×C4C24×D4311yescharacteristic
2512C2×C4C24×D4311yescharacteristic
2513C2×C4C24×D4314yes—
2514C2×C4C24×D4311yescharacteristic
2515C2×C4C24×D4314yes—
2516C2×C4C24×D4311yescharacteristic
2517C2×C4C24×D4312yes—
2518C2×C4C24×D4312yes—
2519C2×C4C24×D4312yes—
2520C2×C4C24×D4312yes—
2521C2×C4C24×D4312yes—
2522C2×C4C24×D4312yes—
2523C2×C4C24×D4311yescharacteristic
2524C2×C4C24×D4311yescharacteristic
2525C22—22no—
2526C22—22no—
2527C22—21no—
2528C22—21no—
2529C22—22no—
2530C22—22no—
2531C22—21no—
2532C22—22no—
2533C22—22no—
2534C22—432no—
2535C22—861no—
2536C22—861no—
2537C22—864no—
2538C22—861no—
2539C22—862no—
2540C22—862no—
2541C22—862no—
2542C22—861no—
2543C22—864no—
2544C22—862no—
2545C22—862no—
2546C22—861no—
2547C22—862no—
2548C22—864no—
2549C22—3444no—
2550C22—1724no—
2551C22—6884no—
2552C22C25×D4311yescharacteristic
2553C4—21no—
2554C4—22no—
2555C4—22no—
2556C4—24no—
2557C4—21no—
2558C4—21no—
2559C4—22no—
2560C4—22no—
2561C4—24no—
2562C4—21no—
2563C4—22no—
2564C4—22no—
2565C4—861no—
2566C4—861no—
2567C4—862no—
2568C4—862no—
2569C4—861no—
2570C4—861no—
2571C4—862no—
2572C4—862no—
2573C4—861no—
2574C4—861no—
2575C4—862no—
2576C4—862no—
2577C4—864no—
2578C4#1458373512yes—
2579C4#1458373612yes—
2580C2—42no—
2581C2—41no—
2582C2—42no—
2583C2—862no—
2584C2—1722no—
2585C2—1721no—
2586C2—1722no—
2587C2—1724no—
2588C2#585×D4311yescharacteristic
2589C2C2×#1458373511yescharacteristic
2590C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3515C2
hypercenter#3515D43
hypocenterC43#62827
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3515

Complements

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

NH ≅ G/Ntype
1. #19149277C2semidirect
2. #19149251C2semidirect
3. #19149234C2semidirect
4. #19149188C2semidirect
5. #19149086C2semidirect
6. #19149069C2semidirect
7. #19148985C2semidirect
8. #19148968C2semidirect
9. #19148914C2semidirect
10. #19148891C2semidirect
11. #19148770C2semidirect
12. #19148701C2semidirect
13. #19148696C2semidirect
14. #19148692C2semidirect
15. #19148679C2semidirect
16. #19148670C2semidirect
17. #19148669C2semidirect
18. #19148658C2semidirect
19. #19148647C2semidirect
20. #19148628C2semidirect
21. #19148604C2semidirect
22. #19148601C2semidirect
23. #19148567C2semidirect
24. #19148558C2semidirect
25. #19148558C2semidirect
26. #19148519C2semidirect
27. #19148484C2semidirect
28. #19148445C2semidirect
29. #19148435C2semidirect
30. #19148339C2semidirect
31. #19148331C2semidirect
32. #19147892C2semidirect
33. #19147888C2semidirect
34. #529×D43C2semidirect
35. C43×#3515C2semidirect
36. #14583651C22semidirect
37. #14583650C22semidirect
38. #14583647C22semidirect
39. #14583646C22semidirect
40. #14583646C22semidirect
41. #14583645C22semidirect
42. #14583639C22semidirect
43. #14583637C22semidirect
44. #14583634C22semidirect
45. #14583634C22semidirect
46. #14583633C22semidirect
47. #14583633C22semidirect
48. #14583632C22semidirect
49. #14583632C22semidirect
50. #14583629C22semidirect
51. #14583628C22semidirect
52. #14583628C22semidirect
53. #14583626C22semidirect
54. #14583623C22semidirect
55. #14583623C22semidirect
56. #14583621C22semidirect
57. #14583620C22semidirect
58. #14583620C22semidirect
59. #14583619C22semidirect
60. #14583619C22semidirect
61. #14583617C22semidirect
62. #14583617C22semidirect
63. #14583616C22semidirect
64. #14583615C22semidirect
65. #14583614C22semidirect
66. #14583614C22semidirect
67. #14583614C22semidirect
68. #14583612C22semidirect
69. #14583612C22semidirect
70. #14583605C22semidirect
71. #14583605C22semidirect
72. #14583605C22semidirect
73. #14583604C22semidirect
75. #14583602C22semidirect
76. #14583602C22semidirect
77. #14583602C22semidirect
78. #14583600C22semidirect
79. #14583597C22semidirect
80. #14583597C22semidirect
81. #14583597C22semidirect
82. #14583597C22semidirect
83. #14583597C22semidirect
84. #14583597C22semidirect
85. #14583596C22semidirect
86. #14583593C22semidirect
87. #14583593C22semidirect
88. #14583593C22semidirect
89. #14583587C22semidirect
90. #14583587C22semidirect
91. #14583587C22semidirect
92. #14583587C22semidirect
93. #14583585C22semidirect
94. #14583584C22semidirect
95. #14583584C22semidirect
96. #14583584C22semidirect
97. #14583583C22semidirect
98. #14583581C22semidirect
99. #14583581C22semidirect
100. #14583581C22semidirect
101. #14583578C22semidirect
102. #14583578C22semidirect
103. #14583577C22semidirect
104. #14583577C22semidirect
105. #14583574C22semidirect
106. #14583574C22semidirect
107. #14583574C22semidirect
108. #14583574C22semidirect
109. #14583574C22semidirect
110. #14583573C22semidirect
111. #14583572C22semidirect
112. #14583571C22semidirect
113. #14583570C22semidirect
114. #14583570C22semidirect
115. #14583568C22semidirect
116. #14583568C22semidirect
117. Q8×D172C22semidirect
118. Q8×D172C22semidirect
119. #14583564C22semidirect
120. #14583561C22semidirect
121. #14583559C22semidirect
122. #14583559C22semidirect
123. #14583559C22semidirect
124. #14583559C22semidirect
125. #14583556C22semidirect
126. #14583554C22semidirect
127. #14583554C22semidirect
128. #14583552C22semidirect
129. #14583551C22semidirect
130. #14583550C22semidirect
131. #14583550C22semidirect
134. #14583546C22semidirect
135. #14583545C22semidirect
136. #14583545C22semidirect
137. #14583545C22semidirect
139. #14583540C22semidirect
140. #14583540C22semidirect
142. D4×D172C22semidirect
143. #14583530C22semidirect
144. #14583529C22semidirect
145. #14583522C22semidirect
146. #14583522C22semidirect
147. #14583522C22semidirect
148. #14583521C22semidirect
149. #14583521C22semidirect
150. #14583521C22semidirect
151. #14583520C22semidirect
152. #14583520C22semidirect
153. #14583520C22semidirect
154. #14583519C22semidirect
155. #14583519C22semidirect
156. #14583516C22semidirect
157. #14583515C22semidirect
159. #14583512C22semidirect
160. #14583512C22semidirect
161. #14583512C22semidirect
162. #14583509C22semidirect
163. #14583509C22semidirect
164. #14583508C22semidirect
165. #14583505C22semidirect
166. #14583505C22semidirect
167. #14583501C22semidirect
168. #14583500C22semidirect
169. #14583500C22semidirect
170. #14583500C22semidirect
171. #14583500C22semidirect
172. #14583497C22semidirect
173. #14583497C22semidirect
174. #14583497C22semidirect
175. #14583496C22semidirect
176. #14583492C22semidirect
177. #14583492C22semidirect
178. #14583489C22semidirect
179. #14583488C22semidirect
180. #14583488C22semidirect
181. #14583485C22semidirect
182. #14583485C22semidirect
183. #14583485C22semidirect
184. #14583485C22semidirect
185. #14583485C22semidirect
186. #14583481C22semidirect
187. #14583480C22semidirect
188. #14583480C22semidirect
189. #14583474C22semidirect
190. #14583472C22semidirect
192. #14583465C22semidirect
193. #14583463C22semidirect
194. #14583460C22semidirect
195. #14583455C22semidirect
196. #14583454C22semidirect
197. #14583454C22semidirect
198. #14583454C22semidirect
199. #14583453C22semidirect
200. #14583453C22semidirect
201. #14583452C22semidirect
203. #14583450C22semidirect
204. #14583449C22semidirect
205. #14583449C22semidirect
207. #14583446C22semidirect
208. #14583446C22semidirect
209. #14583445C22semidirect
212. #14583436C22semidirect
213. #14583436C22semidirect
214. #14583436C22semidirect
215. #14583436C22semidirect
216. #14583435C22semidirect
217. #14583435C22semidirect
218. #14583435C22semidirect
219. #14583434C22semidirect
220. #14583434C22semidirect
221. #14583434C22semidirect
222. #14583434C22semidirect
223. #14583434C22semidirect
224. #14583434C22semidirect
225. #14583434C22semidirect
226. #14583433C22semidirect
227. #14583433C22semidirect
228. #14583432C22semidirect
230. #14583431C22semidirect
231. #14583431C22semidirect
232. #14583431C22semidirect
234. #14583429C22semidirect
235. #14583429C22semidirect
236. #14583429C22semidirect
238. #14583427C22semidirect
239. #14583427C22semidirect
240. #14583427C22semidirect
241. #14583427C22semidirect
242. #14583426C22semidirect
243. #126×D43C22semidirect
244. #126×D43C22semidirect
245. #125×D43C22semidirect
247. #124×D43C22semidirect
249. #14583412C22semidirect
250. #14583412C22semidirect
252. #14583411C22semidirect
253. #14583408C22semidirect
254. #14583408C22semidirect
255. #14583406C22semidirect
256. #14583406C22semidirect
257. #123×D43C22semidirect
258. C22⋊Q8×D43C22semidirect
259. C22⋊Q8×D43C22semidirect
262. #14583381C22semidirect
263. #14583380C22semidirect
264. #14583380C22semidirect
265. #14583380C22semidirect
266. #14583375C22semidirect
267. #14583375C22semidirect
268. #14583373C22semidirect
269. #14583373C22semidirect
270. #14583371C22semidirect
271. C4×#10621902C22semidirect
272. C4×#10621902C22semidirect
273. C4×#10621898C22semidirect
274. C4×#10621898C22semidirect
275. C4×#10621898C22semidirect
276. #14583367C22semidirect
277. C4×Q8×D43C22semidirect
279. C4×D4×D43C22semidirect
280. #117×D43C22semidirect
281. C2×C42×D43C22semidirect
282. C43×#557C22semidirect
283. C43×#554C22semidirect
284. C43×#554C22semidirect
286. C43×#552C22semidirect
287. C43×#552C22semidirect
288. C43×#552C22semidirect
289. C43×#547C22semidirect
290. C43×#547C22semidirect
291. C43×#541C22semidirect
292. C43×#539C22semidirect
293. C43×#533C22semidirect
295. C43×#529C22semidirect
296. C2×#125×C43C22semidirect
297. C43×#520C22semidirect
298. C4×#41×C43C22semidirect
1308. #3515D43semidirect
1349. #557C2×D43semidirect
1370. #554C2×D43semidirect
1371. #554C2×D43semidirect
1400. #552C2×D43semidirect
1401. #552C2×D43semidirect
1402. #552C2×D43semidirect
1434. #547C2×D43semidirect
1435. #547C2×D43semidirect
1469. #541C2×D43semidirect
1483. #539C2×D43semidirect
1508. #533C2×D43semidirect
1551. #529C2×D43semidirect
1555. C2×#125C2×D43semidirect
1576. #520C2×D43semidirect
1588. C4×#41C2×D43semidirect
1594. C43#62827semidirect

Maximal subgroups

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

subgroupindex
#191492772
#191492512
#191492342
#191491882
#191490862
#191490692
#191489852
#191489682
#191489142
#191488912
#191487702
#191487012
#191486962
#191486922
#191486792
#191486702
#191486692
#191486582
#191486472
#191486282
#191486042
#191486012
#191485672
#191485582
#191485192
#191484842
#191484452
#191484352
#191483392
#191483312
#191478922
#191478882
#529×D432
C43×#35152
#6282743