Finite Group Databasebeta

← #26005457

Subgroups — #26005457

Order 11008.

6528 conjugacy classes of subgroups.

The subgroup lattice has 2550 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149241C212yesmaximal, complemented
2#19149234C212yesmaximal, complemented
3#19149206C214yesmaximal, complemented
4#19149099C214yesmaximal, complemented
5#19149070C212yesmaximal, complemented
6#19149061C212yesmaximal, complemented
7#19149041C211yesmaximal, characteristic, complemented
8#19149033C211yesmaximal, characteristic, complemented
9#19148936C211yesmaximal, characteristic, complemented
10#19148936C211yesmaximal, characteristic, complemented
11#19148803C214yesmaximal, complemented
12#19148687C212yesmaximal, complemented
13#19148674C212yesmaximal, complemented
14#19148647C212yesmaximal, complemented
15#19148641C212yesmaximal, complemented
16#19148612C211yesmaximal, characteristic, complemented
17#19148610C211yesmaximal, characteristic, complemented
18#19148575C212yesmaximal, complemented
19#19148568C211yesmaximal, characteristic, complemented
20#19148567C212yesmaximal, complemented
21#19148484C212yesmaximal, complemented
22#19148458C211yesmaximal, characteristic, complemented
23#19148454C214yesmaximal, complemented
24#19148445C211yesmaximal, characteristic, complemented
25#19148419C212yesmaximal, complemented
26#19148399C211yesmaximal, characteristic, complemented
27#19148392C211yesmaximal, characteristic, complemented
28#19148348C212yesmaximal, complemented
29#19148346C212yesmaximal, complemented
30#19148339C212yesmaximal, complemented
31#19148323C212yesmaximal, complemented
32#19147888C211yesmaximal, characteristic, complemented
33#533×D43C211yesmaximal, characteristic, complemented
34#529×D43C211yesmaximal, characteristic, complemented
35C43×#3515C211yesmaximal, characteristic, complemented
36#14583653C2214yescomplemented
37#14583652C2214yescomplemented
38#14583652C2214yescomplemented
39#14583651C2214yescomplemented
40#14583650C2214yescomplemented
41#14583650C2214yescomplemented
42#14583646C2214yescomplemented
43#14583644C2214yescomplemented
44#14583633C2214yescomplemented
45#14583633C2214yescomplemented
46#14583632C2212yescomplemented
47#14583632C2214yescomplemented
48Q8×Dic86C2212yescomplemented
49Q8×Dic86C2211yescharacteristic, complemented
50Q8×Dic86C2211yescharacteristic, complemented
51#14583628C2212yescomplemented
52#14583626C2214yescomplemented
53#14583626C2212yescomplemented
54#14583626C2212yescomplemented
55#14583626C2214yescomplemented
56#14583626C2214yescomplemented
57#14583624C2212yescomplemented
58#14583624C2211yescharacteristic, complemented
59#14583622C2211yescharacteristic, complemented
60#14583620C2212yescomplemented
61#14583620C2214yescomplemented
62#14583620C2212yescomplemented
63#14583619C2212yescomplemented
64#14583619C2212yescomplemented
65#14583619C2211yescharacteristic, complemented
66#14583617C2212yescomplemented
67#14583617C2214yescomplemented
68#14583617C2214yescomplemented
69#14583617C2214yescomplemented
70#14583616C2214yescomplemented
71#14583616C2214yescomplemented
72#14583616C2214yescomplemented
73#14583614C2212yes—
74#14583614C2211yescharacteristic, complemented
75#14583614C2211yescharacteristic, complemented
76#14583613C2212yes—
77#14583610C2211yescharacteristic, complemented
78#14583610C2211yescharacteristic, complemented
79#14583609C2212yescomplemented
80#14583607C2214yescomplemented
81#14583606C2212yescomplemented
82#14583605C2214yes—
83#14583605C2214yes—
84#14583605C2212yescomplemented
85#14583604C2214yes—
86#14583604C2214yes—
87#14583604C2214yescomplemented
88#14583604C2212yescomplemented
89#14583604C2212yescomplemented
90#14583604C2214yescomplemented
91#14583602C2212yes—
92#14583597C2212yescomplemented
93#14583596C2212yes—
94#14583596C2212yescomplemented
95#14583593C2212yes—
96#14583590C2214yescomplemented
97#14583589C2214yescomplemented
98#14583589C2214yescomplemented
99#14583588C2214yes—
100#14583588C2212yescomplemented
101#14583587C2212yescomplemented
102#14583587C2214yescomplemented
103#14583587C2212yescomplemented
104#14583585C2214yescomplemented
105#14583585C2214yescomplemented
106#14583584C2214yescomplemented
107#14583584C2212yescomplemented
108#14583583C2212yescomplemented
109#14583583C2212yescomplemented
110#14583583C2212yescomplemented
111#14583583C2212yescomplemented
112#14583581C2214yes—
113#14583581C2214yescomplemented
114#14583581C2214yescomplemented
115#14583578C2214yes—
116#14583578C2214yes—
117#14583577C2214yes—
118#14583577C2214yes—
119#14583574C2214yes—
120#14583574C2214yes—
121#14583574C2214yes—
122#14583573C2214yes—
123#14583568C2212yescomplemented
124Q8×D172C2211yescharacteristic, complemented
125D4×Dic86C2211yescharacteristic, complemented
126#14583564C2212yescomplemented
127#14583562C2212yescomplemented
128#14583562C2212yescomplemented
129#14583561C2212yescomplemented
130#14583558C2212yescomplemented
131#14583556C2212yescomplemented
132#14583556C2212yescomplemented
133#14583554C2212yes—
134#14583554C2214yescomplemented
135#14583554C2212yescomplemented
136#14583552C2211yescharacteristic, complemented
137#14583551C2212yescomplemented
138#14583550C2212yes—
139#14583550C2214yescomplemented
140#14583550C2212yescomplemented
141#14583546C2214yes—
142#14583541C2214yes—
143#14583530C2212yescomplemented
144#14583530C2212yescomplemented
145#14583530C2212yescomplemented
146#14583529C2214yes—
147#14583529C2212yes—
148#14583529C2212yes—
149#14583529C2212yescomplemented
150#14583529C2212yescomplemented
151#14583529C2212yescomplemented
152#14583524C2214yes—
153#14583522C2212yescomplemented
154#14583522C2212yescomplemented
155#14583521C2212yescomplemented
156#14583520C2212yescomplemented
157#14583520C2214yescomplemented
158#14583517C2214yes—
159#14583517C2214yescomplemented
160#14583517C2214yescomplemented
161#14583516C2214yescomplemented
162#14583516C2212yescomplemented
163#14583515C2214yescomplemented
164#14583514C2214yescomplemented
165#14583514C2212yescomplemented
166#14583514C2212yescomplemented
167#14583514C2214yescomplemented
168#14583514C2212yescomplemented
169#14583511C2214yescomplemented
170#14583509C2212yescomplemented
171#14583508C2214yescomplemented
172#14583508C2214yescomplemented
173#14583507C2212yescomplemented
174#14583507C2212yescomplemented
175#14583506C2214yescomplemented
176#14583506C2214yescomplemented
177#14583499C2214yes—
178#14583497C2214yescomplemented
179#14583497C2214yescomplemented
180#14583496C2214yescomplemented
181#14583495C2214yes—
182#14583495C2214yescomplemented
183#14583493C2214yescomplemented
184#14583492C2214yescomplemented
185#14583492C2214yescomplemented
186#14583492C2214yescomplemented
187#14583492C2214yescomplemented
188#14583485C2214yes—
189#14583474C2212yescomplemented
190#14583472C2212yes—
191#14583472C2214yescomplemented
192#14583472C2214yescomplemented
193#14583470C2212yescomplemented
194#14583465C2212yes—
195#14583456C2212yescomplemented
196#14583456C2211yescharacteristic, complemented
197#14583455C2212yes—
198#14583455C2212yescomplemented
199#14583455C2214yescomplemented
200#14583454C2212yes—
201#14583454C2211yescharacteristic
202#14583454C2211yescharacteristic
203#14583453C2212yes—
204#14583453C2212yes—
205#14583453C2212yes—
206#14583453C2211yescharacteristic
207#14583453C2211yescharacteristic, complemented
208#14583452C2211yescharacteristic, complemented
209#14583452C2212yescomplemented
210#14583451C2212yescomplemented
211#14583451C2212yescomplemented
212#14583446C2214yes—
213#14583446C2211yescharacteristic
214#14583446C2211yescharacteristic, complemented
215#14583445C2211yescharacteristic, complemented
216C4⋊Q8×D43C2211yescharacteristic, complemented
217C4⋊Q8×D43C2211yescharacteristic, complemented
218#14583436C2211yescharacteristic
219#14583436C2211yescharacteristic
220#14583436C2211yescharacteristic, complemented
221#14583435C2211yescharacteristic
222#14583434C2211yescharacteristic
223#14583434C2212yes—
224#14583434C2212yescomplemented
225#14583433C2211yescharacteristic
226#14583433C2212yescomplemented
227#14583432C2214yes—
228#14583432C2212yes—
229#14583431C2211yescharacteristic
230#14583431C2212yes—
231#14583431C2211yescharacteristic
232#14583431C2211yescharacteristic, complemented
233#14583430C2211yescharacteristic
234#14583429C2212yes—
235#14583429C2212yescomplemented
236#14583429C2212yescomplemented
237#14583428C2211yescharacteristic
238#14583428C2212yescomplemented
239#14583427C2212yes—
240#14583427C2212yes—
241#14583427C2214yescomplemented
242#14583427C2212yescomplemented
243#14583426C2212yes—
244#126×D43C2212yes—
245#125×D43C2211yescharacteristic
246#125×D43C2212yescomplemented
247#125×D43C2212yescomplemented
248#124×D43C2211yescharacteristic
249#14583412C2212yes—
250#14583411C2211yescharacteristic
251#14583408C2212yes—
252#14583408C2212yes—
253#14583406C2212yes—
254#14583406C2211yescharacteristic
255#123×D43C2212yes—
256C2×#13063305C2212yes—
257C22⋊Q8×D43C2212yes—
258C22⋊Q8×D43C2212yes—
259C22⋊Q8×D43C2211yescharacteristic
260C22⋊Q8×D43C2212yes—
261#121×D43C2211yescharacteristic
262#14583381C2212yescomplemented
263#14583380C2212yes—
264#14583380C2212yes—
265#14583380C2214yescomplemented
266#14583379C2214yescomplemented
267#14583376C2212yescomplemented
268#14583375C2212yes—
269#14583375C2212yescomplemented
270#14583371C2212yes—
271C4×#10621898C2212yes—
272C4×#10621898C2212yescomplemented
273C4×#10621898C2211yescharacteristic, complemented
274C4×Q8×D43C2211yescharacteristic
275C4×Q8×D43C2212yescomplemented
276C4×Q8×D43C2212yescomplemented
277C4×D4×D43C2212yes—
278C4×D4×D43C2211yescharacteristic
279#117×D43C2212yes—
280#117×D43C2212yes—
281C2×C42×D43C2211yescharacteristic
282C43×#557C2211yescharacteristic, complemented
283C43×#554C2211yescharacteristic, complemented
284C43×#554C2211yescharacteristic, complemented
285C43×#553C2212yes—
286C43×#552C2212yescomplemented
287C43×#552C2212yescomplemented
288C43×#552C2214yescomplemented
289C43×#547C2212yescomplemented
290C43×#547C2211yescharacteristic, complemented
291C43×#541C2212yescomplemented
292C43×#539C2214yescomplemented
293C43×#533C2211yescharacteristic, complemented
294C43×#529C2211yescharacteristic
295C43×#529C2212yescomplemented
296C2×#125×C43C2212yescomplemented
297C43×#520C2212yescomplemented
298C4×#41×C43C2211yescharacteristic, complemented
299C2×#10621902C2312yes—
300C2×#10621898C2312yes—
301C2×#10621898C2314yes—
302C2×#10621898C2312yes—
303C2×#10621898C2314yes—
304C2×#10621898C2311yescharacteristic
305C22×Dic86C2312yes—
306C2×Q8×D43C2311yescharacteristic
307C2×Q8×D43C2312yes—
308C2×Q8×D43C2312yes—
309C2×Q8×D43C2312yes—
310C2×D4×D43C2311yescharacteristic
311C2×D4×D43C2312yes—
312C22×C4×D43C2311yescharacteristic
313C22×C4×D43C2311yescharacteristic
314C22×C4×D43C2311yescharacteristic
315C22×C4×D43C2312yes—
316#13063325C2312yes—
317#13063325C2312yes—
318#13063325C2314yes—
319#13063325C2311yescharacteristic
320#13063325C2312yes—
321#13063325C2311yescharacteristic
322#13063324C2314yes—
323#13063324C2314yes—
324#13063324C2314yes—
325#13063324C2312yes—
326#13063324C2314yes—
327#13063324C2311yescharacteristic
328#13063324C2314yes—
329#13063324C2314yes—
330#13063324C2312yes—
331#13063324C2314yes—
332#13063324C2314yes—
333#13063324C2314yes—
334#13063324C2312yes—
335#13063324C2311yescharacteristic
336#13063324C2314yes—
337#13063324C2312yes—
338#13063324C2312yes—
339#13063324C2312yes—
340#13063324C2312yes—
341#13063323C2311yescharacteristic
342#13063323C2312yes—
343#13063323C2312yes—
344#13063323C2312yes—
345#13063321C2311yescharacteristic
346#13063321C2314yes—
347#13063320C2314yes—
348#13063320C2314yes—
349#13063320C2314yes—
350#13063320C2314yes—
351#13063320C2314yes—
352#13063320C2314yes—
353#13063320C2314yes—
354#13063320C2312yes—
355#13063320C2314yes—
356#13063320C2312yes—
357#13063320C2312yes—
358#13063320C2312yes—
359#13063320C2312yes—
360#13063319C2314yes—
361#13063319C2314yes—
362#13063319C2314yes—
363#13063319C2312yes—
364#13063318C2314yes—
365#13063318C2314yes—
366#13063318C2314yes—
367#13063318C2314yes—
368#13063318C2314yes—
369#13063318C2314yes—
370#13063318C2314yes—
371#13063318C2314yes—
372#13063318C2314yes—
373#13063318C2314yes—
374#13063318C2314yes—
375#13063318C2312yes—
376#13063318C2314yes—
377#13063318C2312yes—
378#13063318C2312yes—
379#13063318C2312yes—
380#13063318C2312yes—
381#13063317C2314yes—
382#13063317C2314yes—
383#13063317C2311yescharacteristic
384#13063317C2312yes—
385#13063316C2312yes—
386#13063316C2312yes—
387#13063316C2312yes—
388#13063316C2314yes—
389#13063316C2314yes—
390#13063316C2314yes—
391#13063316C2314yes—
392#13063316C2314yes—
393#13063316C2312yes—
394#13063316C2312yes—
395#13063316C2311yescharacteristic
396#13063316C2311yescharacteristic
397#13063316C2311yescharacteristic
398#13063316C2311yescharacteristic
399#13063315C2314yes—
400#13063315C2314yes—
401#13063315C2314yes—
402#13063315C2314yes—
403#13063315C2314yes—
404#13063315C2314yes—
405#13063315C2314yes—
406#13063315C2314yes—
407#13063315C2314yes—
408#13063315C2314yes—
409#13063315C2314yes—
410#13063315C2314yes—
411#13063315C2314yes—
412#13063315C2312yes—
413#13063315C2312yes—
414#13063315C2314yes—
415#13063315C2312yes—
416#13063315C2314yes—
417#13063315C2312yes—
418#13063314C2311yescharacteristic
419#13063314C2311yescharacteristic
420#13063313C2312yes—
421#13063313C2314yes—
422#13063313C2311yescharacteristic
423#13063312C2312yes—
424#13063312C2314yes—
425#13063312C2314yes—
426#13063312C2314yes—
427#13063312C2311yescharacteristic
428#13063312C2311yescharacteristic
429#13063311C2314yes—
430#13063311C2314yes—
431#13063311C2314yes—
432#13063311C2314yes—
433#13063311C2314yes—
434#13063311C2314yes—
435#13063311C2314yes—
436#13063311C2314yes—
437#13063311C2312yes—
438#13063311C2314yes—
439#13063311C2312yes—
440#13063311C2312yes—
441#13063311C2314yes—
442#13063311C2312yes—
443#13063310C2314yes—
444#13063310C2314yes—
445#13063310C2314yes—
446#13063310C2312yes—
447#13063310C2314yes—
448#13063310C2314yes—
449#13063310C2314yes—
450#13063310C2312yes—
451#13063310C2314yes—
452#13063310C2314yes—
453#13063310C2312yes—
454#13063310C2312yes—
455#13063309C2312yes—
456#13063309C2312yes—
457#13063308C2314yes—
458#13063308C2314yes—
459#13063308C2314yes—
460#13063308C2314yes—
461#13063308C2312yes—
462#13063307C2314yes—
463#13063307C2314yes—
464#13063307C2314yes—
465#13063307C2312yes—
466#13063307C2314yes—
467#13063307C2314yes—
468#13063307C2314yes—
469#13063307C2314yes—
470#13063307C2314yes—
471#13063307C2312yes—
472#13063307C2314yes—
473#13063307C2312yes—
474#13063307C2312yes—
475#13063306C2314yes—
476#13063306C2314yes—
477#13063306C2314yes—
478#13063306C2312yes—
479#13063306C2312yes—
480#13063305C2312yes—
481#13063305C2314yes—
482#13063305C2311yescharacteristic
483#13063305C2312yes—
484#13063305C2314yes—
485#13063305C2314yes—
486#13063305C2314yes—
487#13063305C2314yes—
488#13063305C2312yes—
489#13063305C2314yes—
490#13063305C2311yescharacteristic
491#13063305C2314yes—
492#13063305C2312yes—
493#13063305C2312yes—
494#13063305C2311yescharacteristic
495#13063304C2314yes—
496#13063304C2314yes—
497#13063304C2314yes—
498#13063304C2314yes—
499#13063304C2312yes—
500#13063304C2312yes—
501#13063304C2314yes—
502#13063304C2314yes—
503#13063304C2314yes—
504#13063304C2314yes—
505#13063304C2312yes—
506#13063304C2311yescharacteristic
507#13063304C2314yes—
508#13063304C2314yes—
509#13063304C2312yes—
510#13063303C2314yes—
511#13063303C2314yes—
512#13063303C2314yes—
513#13063303C2314yes—
514#13063303C2314yes—
515#13063303C2314yes—
516#13063303C2314yes—
517#13063303C2314yes—
518#13063303C2314yes—
519#13063303C2314yes—
520#13063303C2314yes—
521#13063303C2314yes—
522#13063303C2314yes—
523#13063303C2314yes—
524#13063303C2314yes—
525#13063303C2312yes—
526#13063303C2312yes—
527#13063303C2312yes—
528#13063302C2314yes—
529#13063302C2314yes—
530#13063302C2314yes—
531#13063302C2314yes—
532#13063302C2314yes—
533#13063302C2312yes—
534#13063302C2314yes—
535#13063302C2312yes—
536#13063302C2312yes—
537#13063301C2312yes—
538#13063301C2311yescharacteristic
539#13063301C2311yescharacteristic
540#13063301C2312yes—
541#13063301C2314yes—
542#13063301C2314yes—
543#13063301C2311yescharacteristic
544#13063301C2312yes—
545#13063301C2312yes—
546#13063300C2312yes—
547#13063300C2311yescharacteristic
548#13063300C2314yes—
549#13063300C2311yescharacteristic
550#13063300C2311yescharacteristic
551#13063299C2312yes—
552#13063299C2314yes—
553#13063299C2311yescharacteristic
554#13063299C2312yes—
555#13063298C2314yes—
556#13063298C2312yes—
557#13063298C2312yes—
558#13063298C2312yes—
559#13063297C2314yes—
560#13063297C2312yes—
561#13063297C2312yes—
562#13063297C2312yes—
563#13063296C2311yescharacteristic
564#13063296C2312yes—
565#13063296C2311yescharacteristic
566#13063296C2312yes—
567#13063296C2314yes—
568#13063296C2314yes—
569#13063296C2314yes—
570#13063296C2311yescharacteristic
571#13063295C2314yes—
572#13063295C2312yes—
573#13063293C2312yes—
574#13063293C2314yes—
575Q8×Dic43C2312yes—
576Q8×Dic43C2312yes—
577Q8×Dic43C2312yes—
578Q8×Dic43C2311yescharacteristic
579Q8×Dic43C2312yes—
580Q8×Dic43C2312yes—
581C4×Dic86C2312yes—
582C4×Dic86C2312yes—
583C4×Dic86C2311yescharacteristic
584C4×Dic86C2314yes—
585C4×Dic86C2314yes—
586C4×Dic86C2312yes—
587C4×Dic86C2314yes—
588C4×Dic86C2314yes—
589C4×Dic86C2312yes—
590C4×Dic86C2311yescharacteristic
591C4×Dic86C2312yes—
592C4×Dic86C2312yes—
593C4×Dic86C2312yes—
594C4×Dic86C2314yes—
595C4×Dic86C2312yes—
596C4×Dic86C2312yes—
597C4×Dic86C2314yes—
598C4×Dic86C2311yescharacteristic
599C4×Dic86C2312yes—
600#13063290C2312yes—
601#13063290C2312yes—
602#13063290C2314yes—
603#13063290C2314yes—
604#13063290C2314yes—
605#13063290C2311yescharacteristic
606#13063290C2314yes—
607#13063290C2312yes—
608#13063290C2314yes—
609#13063290C2314yes—
610#13063290C2314yes—
611#13063290C2314yes—
612#13063290C2312yes—
613#13063290C2312yes—
614#13063290C2314yes—
615#13063290C2314yes—
616C4×D172C2311yescharacteristic
617C4×D172C2311yescharacteristic
618C4×D172C2312yes—
619C4×D172C2312yes—
620C4×D172C2314yes—
621C4×D172C2312yes—
622C4×D172C2312yes—
623C4×D172C2312yes—
624C4×D172C2314yes—
625C4×D172C2312yes—
626C4×D172C2311yescharacteristic
627D4×Dic43C2312yes—
628D4×Dic43C2311yescharacteristic
629D4×Dic43C2312yes—
630#13063287C2314yes—
631#13063287C2314yes—
632#13063287C2314yes—
633#13063287C2314yes—
634#13063287C2312yes—
635#13063287C2311yescharacteristic
636#13063287C2312yes—
637#13063287C2312yes—
638C4×C22⋊D43C2312yes—
639C4×C22⋊D43C2314yes—
640C4×C22⋊D43C2314yes—
641C4×C22⋊D43C2312yes—
642C4×C22⋊D43C2312yes—
643C4×C22⋊D43C2314yes—
644C4×C22⋊D43C2312yes—
645C4×C22⋊D43C2314yes—
646C4×C22⋊D43C2312yes—
647C4×C22⋊D43C2314yes—
648C4×C22⋊D43C2312yes—
649C4×C22⋊D43C2312yes—
650C4×C22⋊D43C2314yes—
651C4×C22⋊D43C2312yes—
652C4×C22⋊D43C2314yes—
653C4×C22⋊D43C2312yes—
654C4×C22⋊D43C2312yes—
655C4×C22⋊D43C2314yes—
656C4×C22⋊D43C2312yes—
657C4×C22⋊D43C2312yes—
658C4×C22⋊D43C2312yes—
659(C22⋊D43)⋊C4C2314yes—
660(C22⋊D43)⋊C4C2314yes—
661(C22⋊D43)⋊C4C2314yes—
662(C22⋊D43)⋊C4C2314yes—
663(C22⋊D43)⋊C4C2312yes—
664(C22⋊D43)⋊C4C2312yes—
665(C22⋊D43)⋊C4C2312yes—
666#13063284C2311yescharacteristic
667#13063284C2312yes—
668#13063284C2312yes—
669#13063284C2312yes—
670#13063284C2312yes—
671#13063284C2314yes—
672#13063284C2312yes—
673#13063284C2312yes—
674#13063284C2312yes—
675#13063283C2314yes—
676#13063283C2314yes—
677#13063283C2314yes—
678#13063283C2314yes—
679#13063283C2314yes—
680#13063283C2312yes—
681#13063283C2314yes—
682#13063283C2312yes—
683#13063283C2312yes—
684#13063283C2312yes—
685#13063283C2312yes—
686#13063283C2312yes—
687#13063283C2312yes—
688#13063282C2314yes—
689#13063282C2314yes—
690#13063282C2314yes—
691#13063282C2314yes—
692#13063282C2312yes—
693#13063282C2312yes—
694#13063282C2312yes—
695#13063282C2312yes—
696#13063282C2312yes—
697#13063282C2312yes—
698#13063282C2312yes—
699#13063281C2314yes—
700#13063281C2314yes—
701#13063281C2312yes—
702#13063281C2312yes—
703#13063281C2314yes—
704C2×C4⋊Dic43C2314yes—
705C4⋊C4×D43C2312yes—
706C4⋊C4×D43C2312yes—
707C4⋊C4×D43C2312yes—
708C4⋊C4×D43C2314yes—
709C4⋊C4×D43C2312yes—
710C4⋊C4×D43C2312yes—
711C4⋊C4×D43C2314yes—
712C4⋊C4×D43C2312yes—
713C4⋊C4×D43C2314yes—
714C4⋊C4×D43C2314yes—
715C4⋊C4×D43C2312yes—
716C4⋊C4×D43C2312yes—
717C4⋊C4×D43C2312yes—
718C4⋊C4×D43C2311yescharacteristic
719C4⋊C4×D43C2311yescharacteristic
720C4⋊C4×D43C2312yes—
721C4⋊C4×D43C2314yes—
722C4⋊C4×D43C2312yes—
723C2×(C2×D43)⋊C4C2314yes—
724C22⋊C4×D43C2312yes—
725C22⋊C4×D43C2312yes—
726C22⋊C4×D43C2314yes—
727C22⋊C4×D43C2312yes—
728C22⋊C4×D43C2312yes—
729C22⋊C4×D43C2314yes—
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×C43C2311yescharacteristic
746C2×#41×C43C2312yes—
747C4⋊Q8×C43C2311yescharacteristic
748C4⋊Q8×C43C2312yes—
749C4⋊Q8×C43C2311yescharacteristic
750#126×C43C2314yes—
751#126×C43C2314yes—
752#126×C43C2314yes—
753#126×C43C2312yes—
754#125×C43C2314yes—
755#125×C43C2314yes—
756#125×C43C2311yescharacteristic
757#125×C43C2312yes—
758#125×C43C2312yes—
759#125×C43C2312yes—
760#125×C43C2314yes—
761#125×C43C2312yes—
762#125×C43C2314yes—
763#124×C43C2311yescharacteristic
764#123×C43C2314yes—
765#123×C43C2314yes—
766#123×C43C2312yes—
767#123×C43C2314yes—
768#123×C43C2314yes—
769C22⋊Q8×C43C2312yes—
770C22⋊Q8×C43C2312yes—
771C22⋊Q8×C43C2312yes—
772C22⋊Q8×C43C2312yes—
773C22⋊Q8×C43C2311yescharacteristic
774C22⋊Q8×C43C2312yes—
775C22⋊Q8×C43C2314yes—
776C22⋊Q8×C43C2314yes—
777#121×C43C2311yescharacteristic
778#121×C43C2312yes—
779#121×C43C2314yes—
780C4×Q8×C43C2312yes—
781C4×Q8×C43C2311yescharacteristic
782C4×Q8×C43C2311yescharacteristic
783C4×Q8×C43C2312yes—
784C4×Q8×C43C2311yescharacteristic
785C4×Q8×C43C2312yes—
786C4×Q8×C43C2312yes—
787C4×D4×C43C2312yes—
788C4×D4×C43C2314yes—
789C4×D4×C43C2312yes—
790C4×D4×C43C2312yes—
791C4×D4×C43C2311yescharacteristic
792C4×D4×C43C2311yescharacteristic
793C4×D4×C43C2312yes—
794C4×D4×C43C2311yescharacteristic
795C4×D4×C43C2312yes—
796C4×D4×C43C2314yes—
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×C43C2312yes—
807C2×C4⋊C4×C43C2314yes—
808C2×C42×C43C2312yes—
809C2×C42×C43C2311yescharacteristic
810C23×D43C2411yescharacteristic
811C23×D43C2412yes—
812#41×C43—44no—
813#41×C43—42no—
814C2×Q8×C43C2411yescharacteristic
815C2×Q8×C43C2411yescharacteristic
816C2×Q8×C43C2412yes—
817C2×Q8×C43C2412yes—
818C2×D4×C43C2411yescharacteristic
819C2×D4×C43C2411yescharacteristic
820C2×D4×C43C2412yes—
821C2×D4×C43C2414yes—
822C2×D4×C43C2412yes—
823C22×C4×C43C2412yes—
824C22×C4×C43C2411yescharacteristic
825C22×C4×C43C2411yescharacteristic
826C22×C4×C43C2412yes—
827C22×C4×C43C2412yes—
828C22×C4×C43C2412yes—
829C22×C4×C43C2411yescharacteristic
830C22×C4×C43C2414yes—
831C22×C4×C43C2414yes—
832C22×C4×C43C2414yes—
833C2×C22⋊D43C2412yes—
834C2×C22⋊D43C2412yes—
835C2×C22⋊D43C2412yes—
836C2×C22⋊D43C2412yes—
837C2×C22⋊D43C2412yes—
838C2×C22⋊D43C2414yes—
839C2×C22⋊D43C2412yes—
840C2×C22⋊D43C2414yes—
841C2×C22⋊D43C2412yes—
842C2×C22⋊D43C2412yes—
843C22×Dic43C2411yescharacteristic
844C22×Dic43C2411yescharacteristic
845C22×Dic43C2411yescharacteristic
846C22×Dic43C2414yes—
847C22×Dic43C2412yes—
848#10621902—44no—
849Q8×D43—24no—
850Q8×D43—44no—
851Q8×D43—44no—
852Q8×D43—44no—
853D4×D43—24no—
854D4×D43—44no—
855#10621898—28no—
856#10621898—42no—
857#10621898—44no—
858#10621898—48no—
859#10621898—48no—
860C2×D172C2412yes—
861C2×D172C2411yescharacteristic
862C2×D172C2412yes—
863C2×D172C2411yescharacteristic
864C2×D172C2412yes—
865C2×D172C2414yes—
866C2×C4×D43—24no—
867C2×C4×D43—42no—
868C2×C4×D43—42no—
869C2×C4×D43—44no—
870C2×C4×D43C2411yescharacteristic
871C2×C4×D43C2411yescharacteristic
872C2×C4×D43C2411yescharacteristic
873C2×C4×D43C2411yescharacteristic
874C2×C4×D43C2411yescharacteristic
875C2×C4×D43C2411yescharacteristic
876C2×C4×D43C2411yescharacteristic
877C2×C4×D43C2412yes—
878C2×C4×D43C2414yes—
879C2×C4×D43C2412yes—
880C2×C4×D43C2412yes—
881C2×C4×D43C2411yescharacteristic
882C2×C4×D43C2411yescharacteristic
883C2×C4×D43C2411yescharacteristic
884C2×C4×D43C2411yescharacteristic
885C2×C4×D43C2414yes—
886C2×C4×D43C2412yes—
887C2×C4×D43C2412yes—
888C2×C4×D43C2412yes—
889C2×C4×D43C2412yes—
890C2×C4×D43C2414yes—
891C2×C4×D43C2414yes—
892C2×C4×D43C2414yes—
893C2×C4×D43C2414yes—
894C2×C4×D43C2412yes—
895C2×C4×D43C2411yescharacteristic
896C2×Dic86—44no—
897C2×Dic86C2412yes—
898C2×Dic86C2412yes—
899C2×Dic86C2411yescharacteristic
900C2×Dic86C2412yes—
901C2×Dic86C2411yescharacteristic
902C2×Dic86C2414yes—
903C2×Dic86C2414yes—
904C2×Dic86C2414yes—
905C2×Dic86C2414yes—
906C2×Dic86C2414yes—
907C2×Dic86C2412yes—
908C2×Dic86C2412yes—
909C2×Dic86C2414yes—
910C4⋊C4×C43C2411yescharacteristic
911C4⋊C4×C43C2414yes—
912C4⋊C4×C43C2412yes—
913C4⋊C4×C43C2411yescharacteristic
914C4⋊C4×C43C2412yes—
915C4⋊C4×C43C2411yescharacteristic
916C4⋊C4×C43C2412yes—
917C4⋊C4×C43C2412yes—
918C4⋊C4×C43C2414yes—
919C4⋊C4×C43C2412yes—
920C4⋊C4×C43C2414yes—
921C4⋊C4×C43C2414yes—
922C4⋊C4×C43C2414yes—
923C4⋊C4×C43C2414yes—
924C4⋊C4×C43C2414yes—
925C4⋊C4×C43C2414yes—
926C4⋊C4×C43C2412yes—
927C4⋊C4×C43C2411yescharacteristic
928C4⋊C4×C43C2412yes—
929C4⋊C4×C43C2412yes—
930C4⋊C4×C43C2414yes—
931C4⋊C4×C43C2412yes—
932C4⋊C4×C43C2412yes—
933C4⋊C4×C43C2414yes—
934C22⋊C4×C43C2412yes—
935C22⋊C4×C43C2412yes—
936C22⋊C4×C43C2412yes—
937C22⋊C4×C43C2412yes—
938C22⋊C4×C43C2414yes—
939C22⋊C4×C43C2412yes—
940C22⋊C4×C43C2412yes—
941C22⋊C4×C43C2414yes—
942C22⋊C4×C43C2414yes—
943C22⋊C4×C43C2414yes—
944C22⋊C4×C43C2412yes—
945C22⋊C4×C43C2412yes—
946C42×C43C2411yescharacteristic
947C42×C43C2412yes—
948C42×C43C2411yescharacteristic
949C42×C43C2411yescharacteristic
950C42×C43C2412yes—
951C42×C43C2411yescharacteristic
952C42×C43C2412yes—
953C42×C43C2414yes—
954C42×C43C2414yes—
955C42×C43C2412yes—
956C22⋊Dic43C2414yes—
957C22⋊Dic43C2412yes—
958C22⋊Dic43C2412yes—
959C22⋊Dic43C2412yes—
960C22⋊Dic43C2414yes—
961C22⋊Dic43C2412yes—
962C22⋊Dic43C2412yes—
963C22⋊Dic43C2414yes—
964C22⋊Dic43C2412yes—
965C22⋊Dic43C2412yes—
966C22⋊Dic43C2414yes—
967C22⋊Dic43C2414yes—
968C22⋊Dic43C2412yes—
969C22⋊Dic43C2412yes—
970C22⋊Dic43C2412yes—
971C22⋊Dic43C2414yes—
972(C2×D43)⋊C4C2414yes—
973(C2×D43)⋊C4C2412yes—
974(C2×D43)⋊C4C2412yes—
975(C2×D43)⋊C4C2414yes—
976(C2×D43)⋊C4C2412yes—
977(C2×D43)⋊C4C2412yes—
978(C2×D43)⋊C4C2412yes—
979(C2×D43)⋊C4C2412yes—
980(C2×D43)⋊C4C2412yes—
981(C2×D43)⋊C4C2412yes—
982(C2×D43)⋊C4C2412yes—
983(C2×D43)⋊C4C2412yes—
984(C2×D43)⋊C4C2412yes—
985(C2×D43)⋊C4C2412yes—
986(C2×D43)⋊C4C2414yes—
987(C2×D43)⋊C4C2414yes—
988(C2×D43)⋊C4C2412yes—
989(C2×D43)⋊C4C2412yes—
990(C2×D43)⋊C4C2412yes—
991(C2×D43)⋊C4C2412yes—
992(C2×D43)⋊C4C2414yes—
993(C2×D43)⋊C4C2412yes—
994(C2×D43)⋊C4C2412yes—
995(C2×D43)⋊C4C2412yes—
996(C2×D43)⋊C4C2412yes—
997(C2×D43)⋊C4C2414yes—
998(C2×D43)⋊C4C2414yes—
999(C2×D43)⋊C4C2414yes—
1000(C2×D43)⋊C4C2414yes—
1001(C2×D43)⋊C4C2414yes—
1002C4⋊Dic43C2411yescharacteristic
1003C4⋊Dic43C2411yescharacteristic
1004C4⋊Dic43C2414yes—
1005C4⋊Dic43C2411yescharacteristic
1006C4⋊Dic43C2414yes—
1007C4⋊Dic43C2412yes—
1008C4⋊Dic43C2412yes—
1009C4⋊Dic43C2412yes—
1010C4⋊Dic43C2412yes—
1011C4⋊Dic43C2412yes—
1012C4⋊Dic43C2412yes—
1013C4⋊Dic43C2414yes—
1014C4⋊Dic43C2414yes—
1015C4⋊Dic43C2412yes—
1016C4⋊Dic43C2412yes—
1017C4⋊Dic43C2412yes—
1018C4⋊Dic43C2414yes—
1019C4⋊Dic43C2414yes—
1020C4⋊Dic43C2414yes—
1021C4⋊Dic43C2414yes—
1022C4⋊Dic43C2411yescharacteristic
1023C4⋊Dic43C2412yes—
1024C4⋊Dic43C2412yes—
1025C4⋊Dic43C2412yes—
1026Dic43⋊C4C2412yes—
1027Dic43⋊C4C2412yes—
1028Dic43⋊C4C2412yes—
1029Dic43⋊C4C2414yes—
1030Dic43⋊C4C2412yes—
1031Dic43⋊C4C2414yes—
1032Dic43⋊C4C2412yes—
1033Dic43⋊C4C2412yes—
1034Dic43⋊C4C2414yes—
1035Dic43⋊C4C2414yes—
1036Dic43⋊C4C2412yes—
1037Dic43⋊C4C2414yes—
1038Dic43⋊C4C2414yes—
1039Dic43⋊C4C2412yes—
1040Dic43⋊C4C2414yes—
1041Dic43⋊C4C2412yes—
1042Dic43⋊C4C2414yes—
1043Dic43⋊C4C2414yes—
1044Dic43⋊C4C2414yes—
1045Dic43⋊C4C2412yes—
1046Dic43⋊C4C2414yes—
1047Dic43⋊C4C2414yes—
1048Dic43⋊C4C2414yes—
1049Dic43⋊C4C2412yes—
1050Dic43⋊C4C2412yes—
1051Dic43⋊C4C2414yes—
1052Dic43⋊C4C2414yes—
1053Dic43⋊C4C2412yes—
1054Dic43⋊C4C2412yes—
1055Dic43⋊C4C2412yes—
1056Dic43⋊C4C2412yes—
1057Dic43⋊C4C2412yes—
1058Dic43⋊C4C2412yes—
1059Dic43⋊C4C2412yes—
1060Dic43⋊C4C2412yes—
1061Dic43⋊C4C2414yes—
1062Dic43⋊C4C2414yes—
1063Dic43⋊C4C2414yes—
1064C4×Dic43C2411yescharacteristic
1065C4×Dic43C2411yescharacteristic
1066C4×Dic43C2411yescharacteristic
1067C4×Dic43C2411yescharacteristic
1068C4×Dic43C2411yescharacteristic
1069C4×Dic43C2411yescharacteristic
1070C4×Dic43C2411yescharacteristic
1071C4×Dic43C2411yescharacteristic
1072C4×Dic43C2411yescharacteristic
1073C4×Dic43C2411yescharacteristic
1074C4×Dic43C2411yescharacteristic
1075C4×Dic43C2411yescharacteristic
1076C4×Dic43C2412yes—
1077C4×Dic43C2414yes—
1078C4×Dic43C2412yes—
1079C4×Dic43C2412yes—
1080C4×Dic43C2414yes—
1081C4×Dic43C2414yes—
1082C4×Dic43C2412yes—
1083C4×Dic43C2412yes—
1084C4×Dic43C2412yes—
1085C4×Dic43C2414yes—
1086C4×Dic43C2414yes—
1087C4×Dic43C2414yes—
1088C4×Dic43C2414yes—
1089C4×Dic43C2414yes—
1090C4×Dic43C2414yes—
1091C4×Dic43C2414yes—
1092C23×C43C2512yes—
1093C23×C43C2511yescharacteristic
1094C23×C43C2512yes—
1095C22×D43—22no—
1096C22×D43—22no—
1097C22×D43—24no—
1098C22×D43—41no—
1099C22×D43—42no—
1100C22×D43—42no—
1101C22×D43C2512yes—
1102C22×D43C2512yes—
1103C22×D43C2511yescharacteristic
1104C22×D43C2511yescharacteristic
1105Q8×C43—22no—
1106Q8×C43—22no—
1107Q8×C43—24no—
1108Q8×C43—42no—
1109D4×C43—22no—
1110D4×C43—22no—
1111D4×C43—42no—
1112D4×C43—42no—
1113D4×C43—44no—
1114C2×C4×C43—22no—
1115C2×C4×C43—24no—
1116C2×C4×C43—24no—
1117C2×C4×C43—22no—
1118C2×C4×C43—41no—
1119C2×C4×C43—44no—
1120C2×C4×C43—42no—
1121C2×C4×C43—44no—
1122C2×C4×C43—44no—
1123C2×C4×C43—42no—
1124C2×C4×C43C2511yescharacteristic
1125C2×C4×C43C2511yescharacteristic
1126C2×C4×C43C2511yescharacteristic
1127C2×C4×C43C2512yes—
1128C2×C4×C43C2512yes—
1129C2×C4×C43C2512yes—
1130C2×C4×C43C2514yes—
1131C2×C4×C43C2511yescharacteristic
1132C2×C4×C43C2512yes—
1133C2×C4×C43C2512yes—
1134C2×C4×C43C2514yes—
1135C2×C4×C43C2512yes—
1136C2×C4×C43C2511yescharacteristic
1137C2×C4×C43C2511yescharacteristic
1138C22⋊D43—24no—
1139C22⋊D43—24no—
1140C22⋊D43—24no—
1141C22⋊D43—24no—
1142C22⋊D43—24no—
1143C22⋊D43—42no—
1144C22⋊D43—44no—
1145C22⋊D43—44no—
1146C22⋊D43—42no—
1147C22⋊D43—42no—
1148C2×Dic43—22no—
1149C2×Dic43—44no—
1150C2×Dic43—41no—
1151C2×Dic43—41no—
1152C2×Dic43—42no—
1153C2×Dic43C2511yescharacteristic
1154C2×Dic43C2512yes—
1155C2×Dic43C2512yes—
1156C2×Dic43C2514yes—
1157C2×Dic43C2511yescharacteristic
1158C2×Dic43C2511yescharacteristic
1159C2×Dic43C2512yes—
1160C2×Dic43C2512yes—
1161C2×Dic43C2512yes—
1162C2×Dic43C2514yes—
1163C2×Dic43C2511yescharacteristic
1164C2×Dic43C2511yescharacteristic
1165C2×Dic43C2512yes—
1166C2×Dic43C2511yescharacteristic
1167D172—24no—
1168D172—24no—
1169D172—24no—
1170D172—22no—
1171D172—22no—
1172D172—44no—
1173C4×D43—22no—
1174C4×D43—24no—
1175C4×D43—22no—
1176C4×D43—22no—
1177C4×D43—28no—
1178C4×D43—22no—
1179C4×D43—24no—
1180C4×D43—22no—
1181C4×D43—22no—
1182C4×D43—24no—
1183C4×D43—22no—
1184C4×D43—41no—
1185C4×D43—41no—
1186C4×D43—42no—
1187C4×D43—41no—
1188C4×D43—42no—
1189C4×D43—41no—
1190C4×D43—42no—
1191C4×D43—44no—
1192C4×D43—42no—
1193C4×D43—44no—
1194C4×D43—42no—
1195C4×D43—44no—
1196C4×D43—44no—
1197C4×D43—44no—
1198C4×D432−1+414yes—
1199Dic86—22no—
1200Dic86—22no—
1201Dic86—24no—
1202Dic86—24no—
1203Dic86—24no—
1204Dic86—44no—
1205Dic86—44no—
1206Dic86—44no—
1207Dic86—42no—
1208Dic86—44no—
1209Dic86—44no—
1210Dic86—44no—
1211Dic86—42no—
1212#62831—431nomaximal, Sylow
1213C22×C43—21no—
1214C22×C43—22no—
1215C22×C43—22no—
1216C22×C43—21no—
1217C22×C43—22no—
1218C22×C43—21no—
1219C22×C43—22no—
1220C22×C43—22no—
1221C22×C43—22no—
1222C22×C43C2611yescharacteristic
1223C2×D43—21no—
1224C2×D43—21no—
1225C2×D43—21no—
1226C2×D43—21no—
1227C2×D43—22no—
1228C2×D43—22no—
1229C2×D43—22no—
1230C2×D43—22no—
1231C2×D43—22no—
1232C2×D43—22no—
1233C2×D43—44no—
1234C2×D43—84no—
1235C2×D43C2×2−1+412yes—
1236C2×D43#58512yes—
1237C4×C43—22no—
1238C4×C43—22no—
1239C4×C43—21no—
1240C4×C43—22no—
1241C4×C43—21no—
1242C4×C43—22no—
1243C4×C43—22no—
1244C4×C43—22no—
1245C4×C43—24no—
1246C4×C43—24no—
1247C4×C43—21no—
1248C4×C43—21no—
1249C4×C43C2×2−1+412yes—
1250C4×C43#58512yes—
1251Dic43—22no—
1252Dic43—22no—
1253Dic43—21no—
1254Dic43—24no—
1255Dic43—22no—
1256Dic43—21no—
1257Dic43—21no—
1258Dic43—24no—
1259Dic43—22no—
1260Dic43—22no—
1261Dic43—21no—
1262Dic43—22no—
1263Dic43—21no—
1264Dic43C2×2−1+412yes—
1265#3565—432no—
1266#3565—432no—
1267#3564—434no—
1268#3557—434no—
1269#3555—432no—
1270#3554—432no—
1271#3552—431no—
1272#3552—431no—
1273#3544—431no—
1274#3544—431no—
1275#3535—434no—
1276#3523—432no—
1277#3522—432no—
1278#3520—432no—
1279#3520—432no—
1280#3518—431no—
1281#3518—431no—
1282#3515—431no—
1283#3515—432no—
1284#3515—432no—
1285#3515D4311yescharacteristic, complemented
1286#3510—432no—
1287#3507—431no—
1288#3507—434no—
1289#3506—431no—
1290#3504—432no—
1291#3502—431no—
1292#3501—431no—
1293#3495—432no—
1294#3495—432no—
1295#3495—432no—
1296#3494—432no—
1297#3444—431no—
1298C2×#533—431no—
1299C2×#529—431no—
1300C2×C43—41no—
1301C2×C43—42no—
1302C2×C43—42no—
1303C2×C43C22×2−1+411yescharacteristic
1304C2×C43C2×#58511yescharacteristic
1305C2×C43C2×#58511yescharacteristic
1306D43—22no—
1307D43—22no—
1308D43—42no—
1309D43—42no—
1310#563—434no—
1311#563—434no—
1312#563—434no—
1313#563—434no—
1314#563—434no—
1315#563—434no—
1316#562—434no—
1317#562—434no—
1318#559—434no—
1319#559—434no—
1320#559—432no—
1321#559—434no—
1322Q82—431no—
1323Q82—431no—
1324Q82—432no—
1325#557—431no—
1326#557—432no—
1327#557—434no—
1328#557—432no—
1329#557—434no—
1330#557—434no—
1331#557—432no—
1332#557—432no—
1333#557C2×D4311yescharacteristic, complemented
1334#556—434no—
1335#556—434no—
1336#556—434no—
1337#556—432no—
1338#556—432no—
1339#556—434no—
1340#556—431no—
1341#556—432no—
1342#556—431no—
1343#556—432no—
1344#556—434no—
1345#556—434no—
1346#556—434no—
1347#556—432no—
1348#555—432no—
1349#555—432no—
1350#555—431no—
1351#555—431no—
1352#554—431no—
1353#554—431no—
1354#554—434no—
1355#554—434no—
1356#554—432no—
1357#554—434no—
1358#554—432no—
1359#554—432no—
1360#554—434no—
1361#554—434no—
1362#554—432no—
1363#554—432no—
1364#554—434no—
1365#554—434no—
1366#554C2×D4311yescharacteristic, complemented
1367#554C2×D4311yescharacteristic, complemented
1368#553—432no—
1369#553—432no—
1370#553—432no—
1371#553—432no—
1372#553—432no—
1373#553C2×D4312yes—
1374#552—434no—
1375#552—434no—
1376#552—434no—
1377#552—434no—
1378#552—434no—
1379#552—434no—
1380#552—432no—
1381#552—432no—
1382#552—432no—
1383#552—432no—
1384#552—432no—
1385#552—432no—
1386#552—434no—
1387#552—434no—
1388#552—434no—
1389#552—434no—
1390#552—432no—
1391#552—434no—
1392#552—432no—
1393#552C2×D4312yescomplemented
1394#552C2×D4314yescomplemented
1395#552C2×D4312yescomplemented
1396#551—434no—
1397#551—434no—
1398#551—434no—
1399#551—434no—
1400#551—434no—
1401#551—434no—
1402#551—434no—
1403#551—434no—
1404#550—432no—
1405D4×Q8—432no—
1406D4×Q8—432no—
1407D4×Q8—432no—
1408D4×Q8—431no—
1409D4×Q8—431no—
1410#548—432no—
1411#548—432no—
1412#548—432no—
1413#548—432no—
1414#547—431no—
1415#547—432no—
1416#547—432no—
1417#547—434no—
1418#547—432no—
1419#547—432no—
1420#547—434no—
1421#547—432no—
1422#547C2×D4311yescharacteristic, complemented
1423#547C2×D4312yescomplemented
1424#546—434no—
1425#546—434no—
1426#544—432no—
1427#544—432no—
1428#544—432no—
1429#544—434no—
1430#544—432no—
1431#544—432no—
1432#544—432no—
1433#544—432no—
1434#544—432no—
1435#543—434no—
1436#542—434no—
1437#542—434no—
1438#542—434no—
1439#542—434no—
1440#542—432no—
1441#542—432no—
1442#542—432no—
1443#542—434no—
1444#542—432no—
1445#542—432no—
1446#542—432no—
1447#542—432no—
1448#542—434no—
1449#542—434no—
1450#542—432no—
1451#542—434no—
1452#541—434no—
1453#541—434no—
1454#541—434no—
1455#541—434no—
1456#541—432no—
1457#541—432no—
1458#541—432no—
1459#541—434no—
1460#541C2×D4312yescomplemented
1461#540—434no—
1462#539—434no—
1463#539—434no—
1464#539—434no—
1465#539—434no—
1466#539—434no—
1467#539—434no—
1468#539—434no—
1469#539—434no—
1470#539—434no—
1471#539—434no—
1472#539C2×D4314yescomplemented
1473#538—434no—
1474#536—432no—
1475#536—432no—
1476#536—432no—
1477#536—434no—
1478#536—434no—
1479#535—432no—
1480#533—431no—
1481#533—431no—
1482#533—432no—
1483#533—432no—
1484#533—434no—
1485#533—432no—
1486#533—432no—
1487#533—432no—
1488#533—432no—
1489#533—432no—
1490#533—431no—
1491#533—431no—
1492#533—432no—
1493#533—432no—
1494#533—431no—
1495#533—431no—
1496#533—432no—
1497#533C2×D4311yescharacteristic, complemented
1498#532—431no—
1499#532—431no—
1500#532—431no—
1501#532—434no—
1502C2×C4⋊Q8—431no—
1503C2×C4⋊Q8—431no—
1504#529—432no—
1505#529—434no—
1506#529—431no—
1507#529—432no—
1508#529—432no—
1509#529—431no—
1510#529—432no—
1511#529—432no—
1512#529—431no—
1513#529—431no—
1514#529—431no—
1515#529—431no—
1516#529—431no—
1517#529—432no—
1518#529—431no—
1519#529—432no—
1520#529—432no—
1521#529—431no—
1522#529—431no—
1523#529—432no—
1524#529—432no—
1525#529—432no—
1526#529—432no—
1527#529—434no—
1528#529—431no—
1529#529—432no—
1530#529C2×D4311yescharacteristic
1531#529C2×D4312yescomplemented
1532C2×#126—432no—
1533C2×#125—431no—
1534C2×#125—432no—
1535C2×#125—432no—
1536C2×#125C2×D4312yescomplemented
1537C2×#124—431no—
1538#525—431no—
1539#525—432no—
1540#525—432no—
1541#525—432no—
1542#525—432no—
1543#525—431no—
1544C2×#123—432no—
1545C2×C22⋊Q8—431no—
1546C2×C22⋊Q8—432no—
1547C2×C22⋊Q8—432no—
1548C2×C22⋊Q8—432no—
1549C2×C22⋊Q8—432no—
1550C2×#121—431no—
1551#520—432no—
1552#520—434no—
1553#520—432no—
1554#520—432no—
1555#520—434no—
1556#520C2×D4312yescomplemented
1557#519—432no—
1558#519—432no—
1559#519—432no—
1560#518—432no—
1561C4×#41—432no—
1562C4×#41—432no—
1563C4×#41—431no—
1564C4×#41C2×D4311yescharacteristic, complemented
1565C2×C4×Q8—431no—
1566C2×C4×Q8—432no—
1567C2×C4×Q8—432no—
1568C2×C4×D4—431no—
1569C2×C4×D4—432no—
1570C2×#117—432no—
1571C2×#117—432no—
1572C22×C42—431no—
1573C43#6283111yescharacteristic, complemented, Sylow
1574C2×#41—432no—
1575C2×#41—432no—
1576C2×#41—432no—
1577C2×#41—431no—
1578C2×#41—434no—
1579C2×#41—434no—
1580C2×#41C22×D4311yescharacteristic
1581C2×#41C22×D4312yes—
1582C22×Q8—431no—
1583C22×Q8—432no—
1584C22×Q8—432no—
1585C22×Q8—432no—
1586C22×Q8—432no—
1587C22×D4—431no—
1588C22×D4—432no—
1589C23×C4—431no—
1590C23×C4—432no—
1591C23×C4—431no—
1592C23×C4—431no—
1593C4⋊Q8—432no—
1594C4⋊Q8—432no—
1595C4⋊Q8—431no—
1596C4⋊Q8—432no—
1597C4⋊Q8—432no—
1598C4⋊Q8—432no—
1599C4⋊Q8—432no—
1600C4⋊Q8—432no—
1601C4⋊Q8—431no—
1602C4⋊Q8—431no—
1603C4⋊Q8—434no—
1604C4⋊Q8—434no—
1605C4⋊Q8—432no—
1606C4⋊Q8—434no—
1607C4⋊Q8—432no—
1608C4⋊Q8—432no—
1609C4⋊Q8—434no—
1610C4⋊Q8—434no—
1611C4⋊Q8—434no—
1612C4⋊Q8—434no—
1613C4⋊Q8—434no—
1614C4⋊Q8—434no—
1615C4⋊Q8—434no—
1616C4⋊Q8—431no—
1617C4⋊Q8—431no—
1618C4⋊Q8—432no—
1619C4⋊Q8—432no—
1620C4⋊Q8—432no—
1621C4⋊Q8—434no—
1622C4⋊Q8C22×D4311yescharacteristic
1623C4⋊Q8C22×D4311yescharacteristic
1624C4⋊Q8C22×D4312yes—
1625#127—431no—
1626#127—434no—
1627#126—432no—
1628#126—432no—
1629#126—432no—
1630#126—432no—
1631#126—432no—
1632#126—434no—
1633#126—434no—
1634#126—434no—
1635#126—434no—
1636#126—434no—
1637#126—434no—
1638#126—434no—
1639#126—434no—
1640#126—432no—
1641#126—432no—
1642#126—432no—
1643#126—432no—
1644#126—432no—
1645#126—434no—
1646#126—434no—
1647#126—434no—
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—432no—
1658#126—434no—
1659#126—434no—
1660#126—434no—
1661#126C22×D4312yes—
1662#126C22×D4314yes—
1663#126C22×D4314yes—
1664#126C22×D4314yes—
1665#125—431no—
1666#125—431no—
1667#125—432no—
1668#125—432no—
1669#125—434no—
1670#125—434no—
1671#125—432no—
1672#125—432no—
1673#125—434no—
1674#125—434no—
1675#125—432no—
1676#125—432no—
1677#125—432no—
1678#125—431no—
1679#125—431no—
1680#125—432no—
1681#125—434no—
1682#125—432no—
1683#125—434no—
1684#125—434no—
1685#125—434no—
1686#125—434no—
1687#125—434no—
1688#125—434no—
1689#125—434no—
1690#125—434no—
1691#125—434no—
1692#125—434no—
1693#125—434no—
1694#125—434no—
1695#125—434no—
1696#125—434no—
1697#125—434no—
1698#125—431no—
1699#125—432no—
1700#125—434no—
1701#125—434no—
1702#125C22×D4312yes—
1703#125C22×D4311yescharacteristic
1704#125C22×D4314yes—
1705#125C22×D4314yes—
1706#125C22×D4312yes—
1707#125C22×D4312yes—
1708#125C22×D4312yes—
1709#125C22×D4314yes—
1710#125C22×D4314yes—
1711#124—431no—
1712#124—431no—
1713#124—431no—
1714#124—431no—
1715#124—432no—
1716#124—434no—
1717#124—434no—
1718#124—434no—
1719#124—432no—
1720#124—432no—
1721#124—432no—
1722#124—432no—
1723#124—434no—
1724#124—434no—
1725#124—434no—
1726#124—434no—
1727#124—434no—
1728#124—434no—
1729#124—434no—
1730#124—434no—
1731#124—434no—
1732#124—434no—
1733#124—431no—
1734#124—432no—
1735#124—434no—
1736#124C22×D4311yescharacteristic
1737#123—432no—
1738#123—432no—
1739#123—434no—
1740#123—434no—
1741#123—434no—
1742#123—432no—
1743#123—434no—
1744#123—434no—
1745#123—434no—
1746#123—434no—
1747#123—432no—
1748#123—432no—
1749#123—432no—
1750#123—432no—
1751#123—434no—
1752#123—434no—
1753#123—434no—
1754#123—434no—
1755#123—434no—
1756#123—434no—
1757#123—434no—
1758#123—434no—
1759#123—432no—
1760#123—432no—
1761#123—432no—
1762#123—432no—
1763#123—432no—
1764#123—432no—
1765#123—434no—
1766#123—434no—
1767#123—434no—
1768#123—434no—
1769#123—434no—
1770#123—434no—
1771#123—434no—
1772#123—434no—
1773#123—434no—
1774#123C22×D4312yes—
1775#123C22×D4314yes—
1776#123C22×D4314yes—
1777#123C22×D4314yes—
1778#123C22×D4314yes—
1779C22⋊Q8—431no—
1780C22⋊Q8—432no—
1781C22⋊Q8—431no—
1782C22⋊Q8—432no—
1783C22⋊Q8—431no—
1784C22⋊Q8—432no—
1785C22⋊Q8—432no—
1786C22⋊Q8—434no—
1787C22⋊Q8—434no—
1788C22⋊Q8—431no—
1789C22⋊Q8—432no—
1790C22⋊Q8—432no—
1791C22⋊Q8—432no—
1792C22⋊Q8—432no—
1793C22⋊Q8—434no—
1794C22⋊Q8—434no—
1795C22⋊Q8—434no—
1796C22⋊Q8—434no—
1797C22⋊Q8—434no—
1798C22⋊Q8—434no—
1799C22⋊Q8—434no—
1800C22⋊Q8—434no—
1801C22⋊Q8—434no—
1802C22⋊Q8—434no—
1803C22⋊Q8—432no—
1804C22⋊Q8—431no—
1805C22⋊Q8—432no—
1806C22⋊Q8—431no—
1807C22⋊Q8—432no—
1808C22⋊Q8—434no—
1809C22⋊Q8—434no—
1810C22⋊Q8—434no—
1811C22⋊Q8—432no—
1812C22⋊Q8—432no—
1813C22⋊Q8—434no—
1814C22⋊Q8—434no—
1815C22⋊Q8—432no—
1816C22⋊Q8—432no—
1817C22⋊Q8—431no—
1818C22⋊Q8—432no—
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—434no—
1833C22⋊Q8—434no—
1834C22⋊Q8—434no—
1835C22⋊Q8—434no—
1836C22⋊Q8—432no—
1837C22⋊Q8—434no—
1838C22⋊Q8—434no—
1839C22⋊Q8—434no—
1840C22⋊Q8—432no—
1841C22⋊Q8—432no—
1842C22⋊Q8—434no—
1843C22⋊Q8—434no—
1844C22⋊Q8—434no—
1845C22⋊Q8C22×D4311yescharacteristic
1846C22⋊Q8C22×D4312yes—
1847C22⋊Q8C22×D4312yes—
1848C22⋊Q8C22×D4312yes—
1849C22⋊Q8C22×D4312yes—
1850C22⋊Q8C22×D4312yes—
1851C22⋊Q8C22×D4314yes—
1852C22⋊Q8C22×D4314yes—
1853#121—432no—
1854#121—431no—
1855#121—431no—
1856#121—432no—
1857#121—431no—
1858#121—432no—
1859#121—432no—
1860#121—432no—
1861#121—434no—
1862#121—434no—
1863#121—434no—
1864#121—434no—
1865#121—431no—
1866#121—432no—
1867#121—432no—
1868#121—434no—
1869#121—431no—
1870#121—431no—
1871#121—431no—
1872#121—432no—
1873#121—434no—
1874#121—432no—
1875#121—432no—
1876#121—432no—
1877#121—434no—
1878#121C22×D4311yescharacteristic
1879#121C22×D4312yes—
1880#121C22×D4314yes—
1881#120—432no—
1882#120—434no—
1883#120—432no—
1884#120—434no—
1885C4×Q8—431no—
1886C4×Q8—432no—
1887C4×Q8—432no—
1888C4×Q8—432no—
1889C4×Q8—432no—
1890C4×Q8—432no—
1891C4×Q8—431no—
1892C4×Q8—432no—
1893C4×Q8—432no—
1894C4×Q8—434no—
1895C4×Q8—434no—
1896C4×Q8—432no—
1897C4×Q8—432no—
1898C4×Q8—432no—
1899C4×Q8—434no—
1900C4×Q8—434no—
1901C4×Q8—434no—
1902C4×Q8—434no—
1903C4×Q8—434no—
1904C4×Q8—434no—
1905C4×Q8—434no—
1906C4×Q8—434no—
1907C4×Q8—432no—
1908C4×Q8—431no—
1909C4×Q8—432no—
1910C4×Q8—434no—
1911C4×Q8—434no—
1912C4×Q8—432no—
1913C4×Q8—431no—
1914C4×Q8—432no—
1915C4×Q8—431no—
1916C4×Q8—432no—
1917C4×Q8—432no—
1918C4×Q8—432no—
1919C4×Q8—432no—
1920C4×Q8—434no—
1921C4×Q8—432no—
1922C4×Q8—432no—
1923C4×Q8—434no—
1924C4×Q8—434no—
1925C4×Q8—434no—
1926C4×Q8C22×D4312yes—
1927C4×Q8C22×D4311yescharacteristic
1928C4×Q8C22×D4312yes—
1929C4×Q8C22×D4311yescharacteristic
1930C4×Q8C22×D4311yescharacteristic
1931C4×Q8C22×D4312yes—
1932C4×Q8C22×D4312yes—
1933C4×D4—432no—
1934C4×D4—431no—
1935C4×D4—432no—
1936C4×D4—432no—
1937C4×D4—432no—
1938C4×D4—432no—
1939C4×D4—432no—
1940C4×D4—432no—
1941C4×D4—432no—
1942C4×D4—432no—
1943C4×D4—432no—
1944C4×D4—432no—
1945C4×D4—432no—
1946C4×D4—432no—
1947C4×D4—432no—
1948C4×D4—432no—
1949C4×D4—434no—
1950C4×D4—434no—
1951C4×D4—434no—
1952C4×D4—434no—
1953C4×D4—434no—
1954C4×D4—434no—
1955C4×D4—434no—
1956C4×D4—434no—
1957C4×D4—432no—
1958C4×D4—431no—
1959C4×D4—432no—
1960C4×D4—434no—
1961C4×D4—434no—
1962C4×D4—434no—
1963C4×D4—434no—
1964C4×D4—432no—
1965C4×D4—432no—
1966C4×D4—432no—
1967C4×D4—432no—
1968C4×D4—434no—
1969C4×D4—434no—
1970C4×D4—434no—
1971C4×D4—434no—
1972C4×D4—432no—
1973C4×D4—431no—
1974C4×D4—432no—
1975C4×D4—431no—
1976C4×D4—432no—
1977C4×D4—432no—
1978C4×D4—432no—
1979C4×D4—431no—
1980C4×D4—432no—
1981C4×D4—434no—
1982C4×D4—434no—
1983C4×D4C22×D4312yes—
1984C4×D4C22×D4311yescharacteristic
1985C4×D4C22×D4311yescharacteristic
1986C4×D4C22×D4312yes—
1987C4×D4C22×D4312yes—
1988C4×D4C22×D4311yescharacteristic
1989C4×D4C22×D4312yes—
1990C4×D4C22×D4312yes—
1991C4×D4C22×D4314yes—
1992C4×D4C22×D4314yes—
1993#117—432no—
1994#117—432no—
1995#117—431no—
1996#117—432no—
1997#117—432no—
1998#117—432no—
1999#117—434no—
2000#117—432no—
2001#117—432no—
2002#117—432no—
2003#117—432no—
2004#117—432no—
2005#117—432no—
2006#117—432no—
2007#117—434no—
2008#117—434no—
2009#117—434no—
2010#117—434no—
2011#117—434no—
2012#117—434no—
2013#117—432no—
2014#117—432no—
2015#117—432no—
2016#117—432no—
2017#117—434no—
2018#117—434no—
2019#117—434no—
2020#117—432no—
2021#117—432no—
2022#117—434no—
2023#117—432no—
2024#117—432no—
2025#117—432no—
2026#117—432no—
2027#117—432no—
2028#117—434no—
2029#117—434no—
2030#117—434no—
2031#117C22×D4312yes—
2032#117C22×D4312yes—
2033#117C22×D4311yescharacteristic
2034#117C22×D4312yes—
2035#117C22×D4314yes—
2036#117C22×D4314yes—
2037C2×C4⋊C4—434no—
2038C2×C4⋊C4—432no—
2039C2×C4⋊C4—432no—
2040C2×C4⋊C4—432no—
2041C2×C4⋊C4—432no—
2042C2×C4⋊C4—431no—
2043C2×C4⋊C4—432no—
2044C2×C4⋊C4—431no—
2045C2×C4⋊C4—434no—
2046C2×C4⋊C4—434no—
2047C2×C4⋊C4—432no—
2048C2×C4⋊C4—432no—
2049C2×C4⋊C4—432no—
2050C2×C4⋊C4—434no—
2051C2×C4⋊C4—432no—
2052C2×C4⋊C4—434no—
2053C2×C4⋊C4—434no—
2054C2×C4⋊C4—432no—
2055C2×C4⋊C4—432no—
2056C2×C4⋊C4C22×D4314yes—
2057C2×C4⋊C4C22×D4312yes—
2058C2×C4⋊C4C22×D4312yes—
2059C2×C4⋊C4C22×D4312yes—
2060C2×C4⋊C4C22×D4314yes—
2061C2×C22⋊C4—434no—
2062C2×C22⋊C4—432no—
2063C2×C22⋊C4—434no—
2064C2×C22⋊C4—432no—
2065C2×C22⋊C4—432no—
2066C2×C22⋊C4—432no—
2067C2×C22⋊C4—432no—
2068C2×C22⋊C4—434no—
2069C2×C42—431no—
2070C2×C42—431no—
2071C2×C42—431no—
2072C2×C42—431no—
2073C2×C42—432no—
2074C2×C42—434no—
2075C2×C42—431no—
2076C2×C42—431no—
2077C2×C42—431no—
2078C2×C42—432no—
2079C2×C42—431no—
2080C2×C42—431no—
2081C2×C42—431no—
2082C2×C42—431no—
2083C2×C42C22×D4312yes—
2084C2×C42C22×D4311yescharacteristic
2085C24—431no—
2086C24—432no—
2087#41—44no—
2088#41—42no—
2089#41—868no—
2090#41—1722no—
2091#41—1724no—
2092#41—1728no—
2093#41—1728no—
2094#41—1724no—
2095C2×Q8—431no—
2096C2×Q8—432no—
2097C2×Q8—432no—
2098C2×Q8—432no—
2099C2×Q8—431no—
2100C2×Q8—434no—
2101C2×Q8—434no—
2102C2×Q8—434no—
2103C2×Q8—434no—
2104C2×Q8—432no—
2105C2×Q8—434no—
2106C2×Q8—434no—
2107C2×Q8—432no—
2108C2×Q8—864no—
2109C2×Q8—1724no—
2110C2×Q8—1724no—
2111C2×Q8—1724no—
2112C2×Q8—1724no—
2113C2×Q8C23×D4311yescharacteristic
2114C2×Q8C23×D4311yescharacteristic
2115C2×Q8C23×D4312yes—
2116C2×Q8C23×D4312yes—
2117C2×D4—432no—
2118C2×D4—432no—
2119C2×D4—432no—
2120C2×D4—432no—
2121C2×D4—432no—
2122C2×D4—432no—
2123C2×D4—434no—
2124C2×D4—434no—
2125C2×D4—432no—
2126C2×D4—432no—
2127C2×D4—432no—
2128C2×D4—431no—
2129C2×D4—432no—
2130C2×D4—432no—
2131C2×D4—431no—
2132C2×D4—434no—
2133C2×D4—864no—
2134C2×D4—1724no—
2135C2×D4C23×D4311yescharacteristic
2136C2×D4C23×D4311yescharacteristic
2137C2×D4C23×D4312yes—
2138C2×D4C23×D4312yes—
2139C2×D4C23×D4314yes—
2140C22×C4—431no—
2141C22×C4—431no—
2142C22×C4—431no—
2143C22×C4—431no—
2144C22×C4—434no—
2145C22×C4—432no—
2146C22×C4—431no—
2147C22×C4—431no—
2148C22×C4—431no—
2149C22×C4—431no—
2150C22×C4—431no—
2151C22×C4—431no—
2152C22×C4—431no—
2153C22×C4—432no—
2154C22×C4—434no—
2155C22×C4—432no—
2156C22×C4—432no—
2157C22×C4—431no—
2158C22×C4—431no—
2159C22×C4—431no—
2160C22×C4—431no—
2161C22×C4—434no—
2162C22×C4—432no—
2163C22×C4—432no—
2164C22×C4—432no—
2165C22×C4—432no—
2166C22×C4—434no—
2167C22×C4—434no—
2168C22×C4—434no—
2169C22×C4—434no—
2170C22×C4—432no—
2171C22×C4—864no—
2172C22×C4—1724no—
2173C22×C4—1722no—
2174C22×C4—1722no—
2175C22×C4C23×D4311yescharacteristic
2176C22×C4C23×D4311yescharacteristic
2177C22×C4C23×D4312yes—
2178C22×C4C23×D4312yes—
2179C22×C4C23×D4311yescharacteristic
2180C22×C4C23×D4312yes—
2181C22×C4C23×D4312yes—
2182C22×C4C23×D4314yes—
2183C22×C4C23×D4314yes—
2184C22×C4C23×D4314yes—
2185C4⋊C4—431no—
2186C4⋊C4—431no—
2187C4⋊C4—434no—
2188C4⋊C4—432no—
2189C4⋊C4—432no—
2190C4⋊C4—431no—
2191C4⋊C4—432no—
2192C4⋊C4—432no—
2193C4⋊C4—434no—
2194C4⋊C4—434no—
2195C4⋊C4—432no—
2196C4⋊C4—432no—
2197C4⋊C4—432no—
2198C4⋊C4—432no—
2199C4⋊C4—434no—
2200C4⋊C4—432no—
2201C4⋊C4—432no—
2202C4⋊C4—432no—
2203C4⋊C4—432no—
2204C4⋊C4—434no—
2205C4⋊C4—434no—
2206C4⋊C4—432no—
2207C4⋊C4—432no—
2208C4⋊C4—434no—
2209C4⋊C4—434no—
2210C4⋊C4—432no—
2211C4⋊C4—432no—
2212C4⋊C4—434no—
2213C4⋊C4—434no—
2214C4⋊C4—434no—
2215C4⋊C4—434no—
2216C4⋊C4—434no—
2217C4⋊C4—434no—
2218C4⋊C4—434no—
2219C4⋊C4—434no—
2220C4⋊C4—432no—
2221C4⋊C4—434no—
2222C4⋊C4—434no—
2223C4⋊C4—432no—
2224C4⋊C4—432no—
2225C4⋊C4—432no—
2226C4⋊C4—431no—
2227C4⋊C4—432no—
2228C4⋊C4—434no—
2229C4⋊C4—432no—
2230C4⋊C4—432no—
2231C4⋊C4—432no—
2232C4⋊C4—432no—
2233C4⋊C4—432no—
2234C4⋊C4—432no—
2235C4⋊C4—432no—
2236C4⋊C4—432no—
2237C4⋊C4—432no—
2238C4⋊C4—432no—
2239C4⋊C4—432no—
2240C4⋊C4—434no—
2241C4⋊C4—434no—
2242C4⋊C4—434no—
2243C4⋊C4—434no—
2244C4⋊C4—434no—
2245C4⋊C4—434no—
2246C4⋊C4—434no—
2247C4⋊C4C23×D4312yes—
2248C4⋊C4C23×D4312yes—
2249C4⋊C4C23×D4314yes—
2250C4⋊C4C23×D4312yes—
2251C4⋊C4C23×D4314yes—
2252C4⋊C4C23×D4311yescharacteristic
2253C4⋊C4C23×D4311yescharacteristic
2254C4⋊C4C23×D4312yes—
2255C4⋊C4C23×D4312yes—
2256C4⋊C4C23×D4314yes—
2257C4⋊C4C23×D4312yes—
2258C4⋊C4C23×D4312yes—
2259C4⋊C4C23×D4312yes—
2260C4⋊C4C23×D4311yescharacteristic
2261C4⋊C4C23×D4314yes—
2262C4⋊C4C23×D4314yes—
2263C4⋊C4C23×D4314yes—
2264C4⋊C4C23×D4314yes—
2265C4⋊C4C23×D4314yes—
2266C4⋊C4C23×D4311yescharacteristic
2267C4⋊C4C23×D4312yes—
2268C4⋊C4C23×D4314yes—
2269C4⋊C4C23×D4314yes—
2270C4⋊C4C23×D4312yes—
2271C22⋊C4—434no—
2272C22⋊C4—432no—
2273C22⋊C4—432no—
2274C22⋊C4—432no—
2275C22⋊C4—434no—
2276C22⋊C4—432no—
2277C22⋊C4—432no—
2278C22⋊C4—432no—
2279C22⋊C4—434no—
2280C22⋊C4—432no—
2281C22⋊C4—434no—
2282C22⋊C4—434no—
2283C22⋊C4—432no—
2284C22⋊C4—432no—
2285C22⋊C4—432no—
2286C22⋊C4—434no—
2287C22⋊C4—434no—
2288C22⋊C4—432no—
2289C22⋊C4—432no—
2290C22⋊C4—434no—
2291C22⋊C4—432no—
2292C22⋊C4—432no—
2293C22⋊C4—432no—
2294C22⋊C4—432no—
2295C22⋊C4—432no—
2296C22⋊C4—432no—
2297C22⋊C4—432no—
2298C22⋊C4—432no—
2299C22⋊C4—434no—
2300C22⋊C4—434no—
2301C22⋊C4—432no—
2302C22⋊C4—432no—
2303C22⋊C4—432no—
2304C22⋊C4—432no—
2305C22⋊C4—432no—
2306C22⋊C4—432no—
2307C22⋊C4—434no—
2308C22⋊C4—434no—
2309C22⋊C4—434no—
2310C22⋊C4—434no—
2311C22⋊C4—432no—
2312C22⋊C4—432no—
2313C22⋊C4—432no—
2314C22⋊C4—432no—
2315C22⋊C4—434no—
2316C22⋊C4—434no—
2317C22⋊C4C23×D4312yes—
2318C22⋊C4C23×D4312yes—
2319C22⋊C4C23×D4314yes—
2320C22⋊C4C23×D4312yes—
2321C22⋊C4C23×D4314yes—
2322C22⋊C4C23×D4312yes—
2323C22⋊C4C23×D4312yes—
2324C22⋊C4C23×D4312yes—
2325C22⋊C4C23×D4314yes—
2326C22⋊C4C23×D4312yes—
2327C22⋊C4C23×D4312yes—
2328C22⋊C4C23×D4314yes—
2329C42—431no—
2330C42—431no—
2331C42—431no—
2332C42—431no—
2333C42—431no—
2334C42—431no—
2335C42—431no—
2336C42—431no—
2337C42—431no—
2338C42—431no—
2339C42—431no—
2340C42—431no—
2341C42—432no—
2342C42—432no—
2343C42—432no—
2344C42—432no—
2345C42—434no—
2346C42—432no—
2347C42—434no—
2348C42—432no—
2349C42—434no—
2350C42—434no—
2351C42—434no—
2352C42—434no—
2353C42—434no—
2354C42—434no—
2355C42—434no—
2356C42—434no—
2357C42C23×D4311yescharacteristic
2358C42C23×D4311yescharacteristic
2359C42C23×D4311yescharacteristic
2360C42C23×D4311yescharacteristic
2361C42C23×D4314yes—
2362C42C23×D4312yes—
2363C42C23×D4312yes—
2364C42C23×D4312yes—
2365C42C23×D4312yes—
2366C42C23×D4314yes—
2367C23—431no—
2368C23—431no—
2369C23—432no—
2370C23—432no—
2371C23—864no—
2372C23—862no—
2373C23—862no—
2374C23—1722no—
2375C23—1722no—
2376C23—1721no—
2377C23C24×D4312yes—
2378C23C24×D4311yescharacteristic
2379C23C24×D4312yes—
2380Q8—22no—
2381Q8—22no—
2382Q8—24no—
2383Q8—42no—
2384Q8—864no—
2385Q8—864no—
2386Q8—862no—
2387Q8—864no—
2388Q8—862no—
2389Q8—1724no—
2390Q8—1722no—
2391Q8—1724no—
2392Q8—1724no—
2393Q8—1724no—
2394Q8—1722no—
2395Q8—1724no—
2396Q8—1724no—
2397D4—22no—
2398D4—22no—
2399D4—42no—
2400D4—44no—
2401D4—42no—
2402D4—864no—
2403D4—864no—
2404D4—864no—
2405D4—864no—
2406D4—864no—
2407D4—864no—
2408D4—864no—
2409D4—864no—
2410D4—862no—
2411D4—862no—
2412D4—1724no—
2413D4—1722no—
2414D4—1722no—
2415D4—1724no—
2416D4—1724no—
2417D4—1722no—
2418C2×C4—22no—
2419C2×C4—24no—
2420C2×C4—24no—
2421C2×C4—22no—
2422C2×C4—41no—
2423C2×C4—42no—
2424C2×C4—44no—
2425C2×C4—42no—
2426C2×C4—44no—
2427C2×C4—44no—
2428C2×C4—431no—
2429C2×C4—434no—
2430C2×C4—431no—
2431C2×C4—432no—
2432C2×C4—432no—
2433C2×C4—434no—
2434C2×C4—431no—
2435C2×C4—431no—
2436C2×C4—431no—
2437C2×C4—434no—
2438C2×C4—432no—
2439C2×C4—432no—
2440C2×C4—431no—
2441C2×C4—432no—
2442C2×C4—432no—
2443C2×C4—862no—
2444C2×C4—862no—
2445C2×C4—862no—
2446C2×C4—862no—
2447C2×C4—864no—
2448C2×C4—868no—
2449C2×C4—862no—
2450C2×C4—862no—
2451C2×C4—864no—
2452C2×C4—862no—
2453C2×C4—862no—
2454C2×C4—864no—
2455C2×C4—1721no—
2456C2×C4—1721no—
2457C2×C4—1721no—
2458C2×C4—1721no—
2459C2×C4—1722no—
2460C2×C4—1722no—
2461C2×C4—1722no—
2462C2×C4—1724no—
2463C2×C4—1724no—
2464C2×C4—1722no—
2465C2×C4—1724no—
2466C2×C4—1724no—
2467C2×C4—1722no—
2468C2×C4—1724no—
2469C2×C4—1721no—
2470C2×C4—1722no—
2471C2×C4—1721no—
2472C2×C4—1724no—
2473C2×C4C24×D4311yescharacteristic
2474C2×C4C24×D4311yescharacteristic
2475C2×C4C24×D4311yescharacteristic
2476C2×C4C24×D4312yes—
2477C2×C4C24×D4312yes—
2478C2×C4C24×D4312yes—
2479C2×C4C24×D4311yescharacteristic
2480C2×C4C24×D4312yes—
2481C2×C4C24×D4314yes—
2482C2×C4C24×D4312yes—
2483C2×C4C24×D4314yes—
2484C2×C4C24×D4312yes—
2485C2×C4C24×D4311yescharacteristic
2486C2×C4C24×D4311yescharacteristic
2487C22—21no—
2488C22—22no—
2489C22—22no—
2490C22—22no—
2491C22—22no—
2492C22—21no—
2493C22—22no—
2494C22—21no—
2495C22—22no—
2496C22—432no—
2497C22—432no—
2498C22—861no—
2499C22—861no—
2500C22—861no—
2501C22—861no—
2502C22—862no—
2503C22—862no—
2504C22—862no—
2505C22—862no—
2506C22—862no—
2507C22—862no—
2508C22—3444no—
2509C22—1724no—
2510C22C25×D4311yescharacteristic
2511C4—21no—
2512C4—22no—
2513C4—22no—
2514C4—21no—
2515C4—22no—
2516C4—24no—
2517C4—22no—
2518C4—21no—
2519C4—21no—
2520C4—22no—
2521C4—24no—
2522C4—22no—
2523C4—432no—
2524C4—861no—
2525C4—862no—
2526C4—862no—
2527C4—861no—
2528C4—861no—
2529C4—864no—
2530C4—862no—
2531C4—862no—
2532C4—861no—
2533C4—862no—
2534C4—861no—
2535C4—862no—
2536C4—864no—
2537C42−1+4×D4312yes—
2538C4#1458373512yes—
2539C2—42no—
2540C2—41no—
2541C2—42no—
2542C2—862no—
2543C2—862no—
2544C2—1722no—
2545C2—1722no—
2546C2C2×2−1+4×D4311yescharacteristic
2547C2#585×D4311yescharacteristic
2548C2C2×#1458373511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3515C2
hypercenter#3515D43
hypocenterC43#62831
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3515

Complements

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

NH ≅ G/Ntype
1. #19149241C2semidirect
2. #19149234C2semidirect
3. #19149206C2semidirect
4. #19149099C2semidirect
5. #19149070C2semidirect
6. #19149061C2semidirect
7. #19149041C2semidirect
8. #19149033C2semidirect
9. #19148936C2semidirect
10. #19148936C2semidirect
11. #19148803C2semidirect
12. #19148687C2semidirect
13. #19148674C2semidirect
14. #19148647C2semidirect
15. #19148641C2semidirect
16. #19148612C2semidirect
17. #19148610C2semidirect
18. #19148575C2semidirect
19. #19148568C2semidirect
20. #19148567C2semidirect
21. #19148484C2semidirect
22. #19148458C2semidirect
23. #19148454C2semidirect
24. #19148445C2semidirect
25. #19148419C2semidirect
26. #19148399C2semidirect
27. #19148392C2semidirect
28. #19148348C2semidirect
29. #19148346C2semidirect
30. #19148339C2semidirect
31. #19148323C2semidirect
32. #19147888C2semidirect
33. #533×D43C2semidirect
34. #529×D43C2semidirect
35. C43×#3515C2semidirect
36. #14583653C22semidirect
37. #14583652C22semidirect
38. #14583652C22semidirect
39. #14583651C22semidirect
40. #14583650C22semidirect
41. #14583650C22semidirect
42. #14583646C22semidirect
43. #14583644C22semidirect
44. #14583633C22semidirect
45. #14583633C22semidirect
46. #14583632C22semidirect
47. #14583632C22semidirect
48. Q8×Dic86C22semidirect
49. Q8×Dic86C22semidirect
50. Q8×Dic86C22semidirect
51. #14583628C22semidirect
52. #14583626C22semidirect
53. #14583626C22semidirect
54. #14583626C22semidirect
55. #14583626C22semidirect
56. #14583626C22semidirect
57. #14583624C22semidirect
58. #14583624C22semidirect
59. #14583622C22semidirect
60. #14583620C22semidirect
61. #14583620C22semidirect
62. #14583620C22semidirect
63. #14583619C22semidirect
64. #14583619C22semidirect
65. #14583619C22semidirect
66. #14583617C22semidirect
67. #14583617C22semidirect
68. #14583617C22semidirect
69. #14583617C22semidirect
70. #14583616C22semidirect
71. #14583616C22semidirect
72. #14583616C22semidirect
74. #14583614C22semidirect
75. #14583614C22semidirect
77. #14583610C22semidirect
78. #14583610C22semidirect
79. #14583609C22semidirect
80. #14583607C22semidirect
81. #14583606C22semidirect
84. #14583605C22semidirect
87. #14583604C22semidirect
88. #14583604C22semidirect
89. #14583604C22semidirect
90. #14583604C22semidirect
92. #14583597C22semidirect
94. #14583596C22semidirect
96. #14583590C22semidirect
97. #14583589C22semidirect
98. #14583589C22semidirect
100. #14583588C22semidirect
101. #14583587C22semidirect
102. #14583587C22semidirect
103. #14583587C22semidirect
104. #14583585C22semidirect
105. #14583585C22semidirect
106. #14583584C22semidirect
107. #14583584C22semidirect
108. #14583583C22semidirect
109. #14583583C22semidirect
110. #14583583C22semidirect
111. #14583583C22semidirect
113. #14583581C22semidirect
114. #14583581C22semidirect
123. #14583568C22semidirect
124. Q8×D172C22semidirect
125. D4×Dic86C22semidirect
126. #14583564C22semidirect
127. #14583562C22semidirect
128. #14583562C22semidirect
129. #14583561C22semidirect
130. #14583558C22semidirect
131. #14583556C22semidirect
132. #14583556C22semidirect
134. #14583554C22semidirect
135. #14583554C22semidirect
136. #14583552C22semidirect
137. #14583551C22semidirect
139. #14583550C22semidirect
140. #14583550C22semidirect
143. #14583530C22semidirect
144. #14583530C22semidirect
145. #14583530C22semidirect
149. #14583529C22semidirect
150. #14583529C22semidirect
151. #14583529C22semidirect
153. #14583522C22semidirect
154. #14583522C22semidirect
155. #14583521C22semidirect
156. #14583520C22semidirect
157. #14583520C22semidirect
159. #14583517C22semidirect
160. #14583517C22semidirect
161. #14583516C22semidirect
162. #14583516C22semidirect
163. #14583515C22semidirect
164. #14583514C22semidirect
165. #14583514C22semidirect
166. #14583514C22semidirect
167. #14583514C22semidirect
168. #14583514C22semidirect
169. #14583511C22semidirect
170. #14583509C22semidirect
171. #14583508C22semidirect
172. #14583508C22semidirect
173. #14583507C22semidirect
174. #14583507C22semidirect
175. #14583506C22semidirect
176. #14583506C22semidirect
178. #14583497C22semidirect
179. #14583497C22semidirect
180. #14583496C22semidirect
182. #14583495C22semidirect
183. #14583493C22semidirect
184. #14583492C22semidirect
185. #14583492C22semidirect
186. #14583492C22semidirect
187. #14583492C22semidirect
189. #14583474C22semidirect
191. #14583472C22semidirect
192. #14583472C22semidirect
193. #14583470C22semidirect
195. #14583456C22semidirect
196. #14583456C22semidirect
198. #14583455C22semidirect
199. #14583455C22semidirect
207. #14583453C22semidirect
208. #14583452C22semidirect
209. #14583452C22semidirect
210. #14583451C22semidirect
211. #14583451C22semidirect
214. #14583446C22semidirect
215. #14583445C22semidirect
216. C4⋊Q8×D43C22semidirect
217. C4⋊Q8×D43C22semidirect
220. #14583436C22semidirect
224. #14583434C22semidirect
226. #14583433C22semidirect
232. #14583431C22semidirect
235. #14583429C22semidirect
236. #14583429C22semidirect
238. #14583428C22semidirect
241. #14583427C22semidirect
242. #14583427C22semidirect
246. #125×D43C22semidirect
247. #125×D43C22semidirect
262. #14583381C22semidirect
265. #14583380C22semidirect
266. #14583379C22semidirect
267. #14583376C22semidirect
269. #14583375C22semidirect
272. C4×#10621898C22semidirect
273. C4×#10621898C22semidirect
275. C4×Q8×D43C22semidirect
276. C4×Q8×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
1285. #3515D43semidirect
1333. #557C2×D43semidirect
1366. #554C2×D43semidirect
1367. #554C2×D43semidirect
1393. #552C2×D43semidirect
1394. #552C2×D43semidirect
1395. #552C2×D43semidirect
1422. #547C2×D43semidirect
1423. #547C2×D43semidirect
1460. #541C2×D43semidirect
1472. #539C2×D43semidirect
1497. #533C2×D43semidirect
1531. #529C2×D43semidirect
1536. C2×#125C2×D43semidirect
1556. #520C2×D43semidirect
1564. C4×#41C2×D43semidirect
1573. C43#62831semidirect

Maximal subgroups

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

subgroupindex
#191492412
#191492342
#191492062
#191490992
#191490702
#191490612
#191490412
#191490332
#191489362
#191488032
#191486872
#191486742
#191486472
#191486412
#191486122
#191486102
#191485752
#191485682
#191485672
#191484842
#191484582
#191484542
#191484452
#191484192
#191483992
#191483922
#191483482
#191483462
#191483392
#191483232
#191478882
#533×D432
#529×D432
C43×#35152
#6283143