Finite Group Databasebeta

← #26005459

Subgroups — #26005459

Order 11008.

6528 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149245C212yesmaximal, complemented
2#19149241C212yesmaximal, complemented
3#19149207C214yesmaximal, complemented
4#19149100C212yesmaximal, complemented
5#19149094C212yesmaximal, complemented
6#19149081C212yesmaximal, complemented
7#19149056C212yesmaximal, complemented
8#19149034C212yesmaximal, complemented
9#19148931C212yesmaximal, complemented
10#19148792C214yesmaximal, complemented
11#19148689C212yesmaximal, complemented
12#19148672C212yesmaximal, complemented
13#19148631C214yesmaximal, complemented
14#19148611C212yesmaximal, complemented
15#19148566C212yesmaximal, complemented
16#19148566C212yesmaximal, complemented
17#19148564C212yesmaximal, complemented
18#19148490C211yesmaximal, characteristic, complemented
19#19148486C211yesmaximal, characteristic, complemented
20#19148457C212yesmaximal, complemented
21#19148453C211yesmaximal, characteristic, complemented
22#19148451C212yesmaximal, complemented
23#19148446C211yesmaximal, characteristic, complemented
24#19148418C211yesmaximal, characteristic, complemented
25#19148417C211yesmaximal, characteristic, complemented
26#19148403C211yesmaximal, characteristic, complemented
27#19148393C211yesmaximal, characteristic, complemented
28#19148349C211yesmaximal, characteristic, complemented
29#19148347C211yesmaximal, characteristic, complemented
30#19148334C214yesmaximal, complemented
31#19148324C211yesmaximal, characteristic, complemented
32#19147887C211yesmaximal, characteristic, complemented
33C2×#14583452C211yesmaximal, characteristic, complemented
34C2×#14583430C211yesmaximal, characteristic, complemented
35C43×#3494C211yesmaximal, characteristic, complemented
36#14583652C2214yescomplemented
37#14583652C2214yescomplemented
38#14583652C2214yescomplemented
39#14583651C2214yescomplemented
40#14583650C2214yescomplemented
41#14583649C2214yescomplemented
42#14583644C2214yescomplemented
43#14583644C2214yescomplemented
44#14583635C2212yescomplemented
45#14583635C2212yescomplemented
46#14583635C2212yescomplemented
47#14583632C2212yescomplemented
48#14583632C2212yescomplemented
49#14583632C2212yescomplemented
50#14583631C2212yescomplemented
51#14583629C2212yescomplemented
52#14583629C2212yescomplemented
53#14583628C2212yescomplemented
54#14583627C2212yescomplemented
55#14583626C2212yescomplemented
56#14583626C2212yescomplemented
57#14583626C2212yescomplemented
58#14583626C2212yescomplemented
59#14583626C2212yescomplemented
60#14583625C2212yescomplemented
61#14583624C2212yescomplemented
62#14583624C2212yescomplemented
63#14583624C2212yescomplemented
64#14583621C2212yescomplemented
65#14583619C2212yescomplemented
66#14583619C2212yescomplemented
67#14583619C2212yescomplemented
68#14583619C2212yescomplemented
69#14583618C2214yescomplemented
70#14583618C2212yescomplemented
71#14583618C2212yescomplemented
72#14583618C2212yescomplemented
73#14583618C2214yescomplemented
74#14583618C2214yescomplemented
75#14583617C2212yescomplemented
76#14583617C2214yescomplemented
77#14583617C2212yescomplemented
78#14583616C2214yescomplemented
79#14583613C2212yes—
80#14583613C2212yescomplemented
81#14583610C2212yescomplemented
82#14583608C2214yes—
83#14583608C2212yescomplemented
84#14583608C2212yescomplemented
85#14583608C2212yescomplemented
86#14583608C2212yescomplemented
87#14583608C2212yescomplemented
88#14583607C2214yes—
89#14583606C2214yes—
90#14583606C2212yescomplemented
91#14583606C2212yescomplemented
92#14583606C2212yescomplemented
93#14583606C2212yescomplemented
94#14583605C2212yescomplemented
95#14583604C2212yescomplemented
96#14583604C2212yescomplemented
97#14583603C2214yes—
98#14583601C2212yes—
99#14583601C2212yescomplemented
100#14583596C2212yes—
101#14583596C2212yescomplemented
102#14583591C2214yescomplemented
103#14583589C2212yescomplemented
104#14583589C2212yescomplemented
105#14583589C2214yescomplemented
106#14583589C2214yescomplemented
107#14583589C2214yescomplemented
108#14583588C2212yescomplemented
109#14583588C2212yescomplemented
110#14583586C2214yes—
111#14583586C2214yescomplemented
112#14583586C2214yescomplemented
113#14583586C2214yescomplemented
114#14583586C2214yescomplemented
115#14583586C2214yescomplemented
116#14583585C2214yescomplemented
117#14583585C2214yescomplemented
118#14583584C2212yescomplemented
119#14583584C2212yescomplemented
120#14583582C2214yes—
121#14583582C2214yescomplemented
122#14583580C2214yes—
123#14583580C2214yes—
124#14583580C2214yes—
125#14583575C2214yes—
126#14583575C2214yes—
127#14583575C2214yes—
128#14583575C2214yes—
129#14583569C2212yescomplemented
130D4×Dic86C2212yescomplemented
131D4×Dic86C2212yescomplemented
132D4×Dic86C2214yescomplemented
133#14583555C2214yescomplemented
134#14583555C2214yescomplemented
135#14583549C2212yes—
136#14583549C2214yescomplemented
137#14583549C2214yescomplemented
138#14583549C2212yescomplemented
139#14583548C2214yescomplemented
140#14583548C2214yescomplemented
141#14583543C2214yes—
142#14583530C2211yescharacteristic
143#14583530C2212yescomplemented
144#14583529C2212yescomplemented
145#14583528C2214yes—
146#14583528C2214yescomplemented
147#14583527C2211yescharacteristic
148#14583527C2211yescharacteristic
149#14583527C2212yescomplemented
150#14583526C2212yescomplemented
151#14583525C2214yes—
152#14583520C2212yescomplemented
153#14583518C2214yescomplemented
154#14583517C2214yescomplemented
155#14583516C2212yes—
156#14583516C2212yescomplemented
157#14583516C2214yescomplemented
158#14583516C2214yescomplemented
159#14583516C2212yescomplemented
160#14583516C2212yescomplemented
161#14583514C2214yescomplemented
162#14583514C2212yescomplemented
163#14583514C2212yescomplemented
164#14583513C2214yescomplemented
165#14583513C2214yescomplemented
166#14583513C2214yescomplemented
167#14583511C2212yescomplemented
168#14583511C2214yescomplemented
169#14583509C2214yescomplemented
170#14583509C2212yescomplemented
171#14583506C2214yescomplemented
172#14583506C2214yescomplemented
173#14583506C2214yescomplemented
174#14583506C2214yescomplemented
175#14583502C2212yes—
176#14583494C2214yescomplemented
177#14583494C2214yescomplemented
178#14583494C2214yescomplemented
179#14583494C2214yescomplemented
180#14583493C2214yescomplemented
181#14583493C2214yescomplemented
182#14583493C2214yescomplemented
183#14583492C2214yescomplemented
184#14583492C2214yescomplemented
185#14583491C2214yes—
186#14583491C2214yescomplemented
187#14583484C2214yes—
188#14583475C2211yescharacteristic
189#14583471C2214yescomplemented
190#14583471C2214yescomplemented
191#14583470C2211yescharacteristic
192#14583470C2214yescomplemented
193#14583466C2211yescharacteristic
194#14583456C2212yescomplemented
195#14583454C2212yescomplemented
196#14583452C2212yes—
197#14583452C2211yescharacteristic
198#14583452C2211yescharacteristic
199#14583452C2211yescharacteristic
200#14583452C2211yescharacteristic
201#14583452C2211yescharacteristic
202#14583452C2212yes—
203#14583452C2212yescomplemented
204#14583452C2211yescharacteristic, complemented
205#14583452C2212yescomplemented
206#14583452C2212yescomplemented
207#14583452C2211yescharacteristic, complemented
208#14583452C2211yescharacteristic, complemented
209#14583452C2211yescharacteristic, complemented
210#14583451C2214yes—
211#14583451C2211yescharacteristic, complemented
212#14583451C2212yescomplemented
213#14583451C2211yescharacteristic, complemented
214#14583445C2211yescharacteristic
215#14583444C2212yes—
216#14583444C2211yescharacteristic, complemented
217#14583444C2211yescharacteristic, complemented
218C2×#13063324C2211yescharacteristic, complemented
219C2×#13063324C2211yescharacteristic, complemented
220#14583435C2211yescharacteristic, complemented
221#14583435C2211yescharacteristic, complemented
222#14583433C2212yescomplemented
223#14583431C2212yescomplemented
224#14583431C2212yescomplemented
225#14583430C2212yes—
226#14583430C2212yes—
227#14583430C2212yes—
228#14583430C2212yes—
229#14583430C2212yes—
230#14583430C2212yes—
231#14583430C2212yes—
232#14583430C2212yes—
233#14583430C2212yes—
234#14583430C2212yescomplemented
235#14583430C2212yescomplemented
236#14583430C2211yescharacteristic, complemented
237#14583430C2212yescomplemented
238#14583430C2211yescharacteristic, complemented
239#14583429C2214yes—
240#14583429C2212yescomplemented
241#14583429C2212yescomplemented
242#14583426C2212yes—
243#14583426C2212yes—
244C2×#13063318C2212yes—
245C2×#13063316C2211yescharacteristic
246C2×#13063316C2211yescharacteristic, complemented
247C2×#13063316C2212yescomplemented
248C2×#13063316C2211yescharacteristic, complemented
249#125×D43C2212yescomplemented
250C2×#13063312C2211yescharacteristic
251#14583410C2211yescharacteristic
252#14583405C2214yes—
253#14583405C2212yes—
254#14583405C2212yes—
255C2×#13063306C2212yes—
256C2×#13063304C2211yescharacteristic
257C2×#13063302C2214yes—
258C2×#13063302C2212yes—
259C2×#13063302C2212yes—
260#14583382C2211yescharacteristic
261#14583382C2214yescomplemented
262#14583380C2211yescharacteristic
263#14583379C2211yescharacteristic
264#14583378C2214yescomplemented
265#14583378C2214yescomplemented
266#14583376C2211yescharacteristic
267#14583376C2211yescharacteristic
268#14583376C2214yescomplemented
269#14583374C2211yescharacteristic
270#41×Dic43C2211yescharacteristic
271#14583367C2211yescharacteristic
272C4×#10621900C2212yescomplemented
273C4×#10621900C2212yescomplemented
274C2×C4×Dic86C2212yescomplemented
275C2×C4×Dic86C2212yescomplemented
276C2×#13063290C2211yescharacteristic
277C2×D4×Dic43C2212yes—
278C2×D4×Dic43C2211yescharacteristic
279C2×#13063284C2211yescharacteristic
280C2×#13063281C2212yes—
281C22×C4×Dic43C2211yescharacteristic
282C43×#555C2212yes—
283C43×#553C2212yes—
284C43×#553C2212yes—
285C43×#551C2214yes—
286C43×#547C2212yes—
287C43×#546C2214yes—
288C43×#544C2211yescharacteristic
289C43×#542C2212yes—
290C43×#540C2212yes—
291C43×#535C2211yescharacteristic
292C43×#532C2212yes—
293C43×#529C2212yes—
294C43×#525C2211yescharacteristic
295C2×#121×C43C2211yescharacteristic
296C43×#520C2211yescharacteristic
297C43×#518C2211yescharacteristic
298C2×#117×C43C2211yescharacteristic
299C2×#10621898C2311yescharacteristic
300C2×#10621900C2312yes—
301C2×#10621900C2314yes—
302C2×#10621900C2312yes—
303C2×#10621900C2314yes—
304C22×Dic86C2311yescharacteristic
305C22×Dic86C2312yes—
306C22×Dic86C2314yes—
307C22×Dic86C2312yes—
308C23×Dic43C2311yescharacteristic
309C23×Dic43C2311yescharacteristic
310C23×Dic43C2312yes—
311#13063325C2314yes—
312#13063325C2312yes—
313#13063325C2312yes—
314#13063325C2312yes—
315#13063324C2311yescharacteristic
316#13063324C2311yescharacteristic
317#13063324C2312yes—
318#13063324C2312yes—
319#13063324C2314yes—
320#13063324C2314yes—
321#13063324C2311yescharacteristic
322#13063324C2314yes—
323#13063324C2311yescharacteristic
324#13063324C2312yes—
325#13063324C2312yes—
326#13063324C2311yescharacteristic
327#13063324C2314yes—
328#13063324C2311yescharacteristic
329#13063324C2314yes—
330#13063324C2312yes—
331#13063324C2312yes—
332#13063324C2312yes—
333#13063324C2311yescharacteristic
334#13063324C2311yescharacteristic
335#13063324C2311yescharacteristic
336#13063324C2311yescharacteristic
337#13063324C2312yes—
338#13063323C2314yes—
339#13063323C2312yes—
340#13063323C2311yescharacteristic
341#13063323C2314yes—
342#13063323C2314yes—
343#13063323C2314yes—
344#13063321C2311yescharacteristic
345#13063321C2312yes—
346#13063320C2314yes—
347#13063320C2312yes—
348#13063320C2314yes—
349#13063320C2312yes—
350#13063319C2314yes—
351#13063319C2314yes—
352#13063318C2314yes—
353#13063318C2314yes—
354#13063318C2314yes—
355#13063318C2314yes—
356#13063318C2314yes—
357#13063318C2314yes—
358#13063318C2314yes—
359#13063318C2314yes—
360#13063318C2314yes—
361#13063318C2314yes—
362#13063318C2314yes—
363#13063318C2314yes—
364#13063318C2314yes—
365#13063318C2314yes—
366#13063318C2314yes—
367#13063318C2314yes—
368#13063318C2314yes—
369#13063318C2314yes—
370#13063318C2314yes—
371#13063318C2312yes—
372#13063318C2314yes—
373#13063318C2314yes—
374#13063318C2314yes—
375#13063318C2312yes—
376#13063318C2314yes—
377#13063318C2314yes—
378#13063317C2314yes—
379#13063317C2314yes—
380#13063317C2314yes—
381#13063317C2312yes—
382#13063317C2312yes—
383#13063316C2311yescharacteristic
384#13063316C2312yes—
385#13063316C2312yes—
386#13063316C2314yes—
387#13063316C2314yes—
388#13063316C2312yes—
389#13063316C2314yes—
390#13063316C2314yes—
391#13063316C2311yescharacteristic
392#13063316C2312yes—
393#13063316C2311yescharacteristic
394#13063316C2311yescharacteristic
395#13063316C2312yes—
396#13063316C2311yescharacteristic
397#13063316C2312yes—
398#13063316C2312yes—
399#13063316C2311yescharacteristic
400#13063316C2312yes—
401#13063316C2311yescharacteristic
402#13063316C2312yes—
403#13063316C2312yes—
404#13063316C2311yescharacteristic
405#13063316C2311yescharacteristic
406#13063316C2311yescharacteristic
407#13063316C2312yes—
408#13063316C2312yes—
409#13063315C2314yes—
410#13063315C2314yes—
411#13063315C2314yes—
412#13063315C2314yes—
413#13063315C2314yes—
414#13063315C2314yes—
415#13063315C2314yes—
416#13063315C2314yes—
417#13063315C2314yes—
418#13063315C2314yes—
419#13063315C2314yes—
420#13063315C2314yes—
421#13063315C2314yes—
422#13063315C2314yes—
423#13063315C2314yes—
424#13063315C2314yes—
425#13063315C2312yes—
426#13063315C2312yes—
427#13063314C2311yescharacteristic
428#13063313C2312yes—
429#13063312C2314yes—
430#13063312C2314yes—
431#13063312C2314yes—
432#13063312C2314yes—
433#13063312C2314yes—
434#13063312C2312yes—
435#13063312C2312yes—
436#13063312C2312yes—
437#13063312C2311yescharacteristic
438#13063312C2312yes—
439#13063312C2312yes—
440#13063312C2312yes—
441#13063311C2314yes—
442#13063311C2314yes—
443#13063311C2314yes—
444#13063311C2314yes—
445#13063311C2314yes—
446#13063311C2314yes—
447#13063311C2312yes—
448#13063311C2312yes—
449#13063309C2314yes—
450#13063309C2314yes—
451#13063309C2314yes—
452#13063309C2312yes—
453#13063309C2312yes—
454#13063308C2312yes—
455#13063308C2314yes—
456#13063308C2314yes—
457#13063308C2314yes—
458#13063308C2314yes—
459#13063307C2314yes—
460#13063307C2314yes—
461#13063307C2314yes—
462#13063307C2314yes—
463#13063307C2314yes—
464#13063307C2314yes—
465#13063306C2314yes—
466#13063306C2314yes—
467#13063306C2314yes—
468#13063306C2314yes—
469#13063306C2314yes—
470#13063306C2314yes—
471#13063306C2314yes—
472#13063306C2314yes—
473#13063306C2314yes—
474#13063306C2314yes—
475#13063306C2314yes—
476#13063306C2314yes—
477#13063306C2314yes—
478#13063306C2314yes—
479#13063306C2314yes—
480#13063306C2312yes—
481#13063306C2312yes—
482#13063305C2314yes—
483#13063305C2314yes—
484#13063305C2312yes—
485#13063305C2312yes—
486#13063304C2314yes—
487#13063304C2314yes—
488#13063304C2314yes—
489#13063304C2314yes—
490#13063304C2314yes—
491#13063304C2314yes—
492#13063304C2312yes—
493#13063304C2312yes—
494#13063304C2312yes—
495#13063304C2312yes—
496#13063304C2314yes—
497#13063304C2314yes—
498#13063304C2314yes—
499#13063304C2314yes—
500#13063304C2314yes—
501#13063304C2312yes—
502#13063304C2312yes—
503#13063304C2311yescharacteristic
504#13063304C2311yescharacteristic
505#13063303C2314yes—
506#13063303C2314yes—
507#13063303C2314yes—
508#13063303C2314yes—
509#13063302C2312yes—
510#13063302C2314yes—
511#13063302C2314yes—
512#13063302C2314yes—
513#13063302C2312yes—
514#13063302C2314yes—
515#13063302C2314yes—
516#13063302C2314yes—
517#13063302C2314yes—
518#13063302C2314yes—
519#13063302C2314yes—
520#13063302C2312yes—
521#13063302C2312yes—
522#13063302C2314yes—
523#13063302C2314yes—
524#13063302C2312yes—
525#13063302C2312yes—
526#13063302C2314yes—
527#13063302C2314yes—
528#13063302C2314yes—
529#13063302C2314yes—
530#13063302C2314yes—
531#13063302C2312yes—
532#13063302C2314yes—
533#13063302C2314yes—
534#13063302C2314yes—
535#13063302C2314yes—
536#13063302C2312yes—
537#13063302C2312yes—
538#13063302C2312yes—
539#13063302C2312yes—
540#13063302C2312yes—
541#13063302C2312yes—
542#13063302C2312yes—
543#13063302C2312yes—
544#13063302C2312yes—
545#13063302C2312yes—
546#13063302C2312yes—
547#13063302C2312yes—
548#13063302C2312yes—
549#13063301C2314yes—
550#13063301C2314yes—
551#13063299C2311yescharacteristic
552#13063299C2311yescharacteristic
553#13063297C2312yes—
554#13063297C2314yes—
555#13063297C2314yes—
556#13063297C2314yes—
557#13063297C2314yes—
558#13063297C2312yes—
559#13063297C2312yes—
560#13063297C2312yes—
561#13063296C2314yes—
562#13063296C2312yes—
563#13063296C2314yes—
564#13063296C2312yes—
565#13063294C2314yes—
566#13063294C2312yes—
567Q8×Dic43C2314yes—
568Q8×Dic43C2314yes—
569Q8×Dic43C2311yescharacteristic
570Q8×Dic43C2311yescharacteristic
571Q8×Dic43C2312yes—
572C4×Dic86C2312yes—
573C4×Dic86C2312yes—
574C4×Dic86C2314yes—
575C4×Dic86C2312yes—
576C4×Dic86C2314yes—
577C4×Dic86C2312yes—
578C4×Dic86C2312yes—
579C4×Dic86C2314yes—
580C4×Dic86C2312yes—
581C4×Dic86C2312yes—
582C4×Dic86C2312yes—
583C4×Dic86C2312yes—
584C4×Dic86C2314yes—
585C4×Dic86C2312yes—
586C4×Dic86C2312yes—
587C4×Dic86C2312yes—
588C4×Dic86C2312yes—
589C4×Dic86C2312yes—
590C4×Dic86C2312yes—
591C4×Dic86C2312yes—
592C4×Dic86C2312yes—
593C4×Dic86C2312yes—
594C4×Dic86C2312yes—
595C4×Dic86C2312yes—
596C4×Dic86C2312yes—
597C4×Dic86C2312yes—
598C4×Dic86C2312yes—
599#13063290C2314yes—
600#13063290C2314yes—
601#13063290C2312yes—
602#13063290C2312yes—
603#13063290C2314yes—
604#13063290C2314yes—
605#13063290C2314yes—
606#13063290C2312yes—
607#13063290C2312yes—
608#13063290C2312yes—
609#13063290C2312yes—
610#13063290C2311yescharacteristic
611#13063290C2311yescharacteristic
612#13063290C2312yes—
613#13063290C2312yes—
614#13063290C2312yes—
615#13063290C2312yes—
616#13063290C2312yes—
617C4×D172C2312yes—
618D4×Dic43C2314yes—
619D4×Dic43C2314yes—
620D4×Dic43C2314yes—
621D4×Dic43C2314yes—
622D4×Dic43C2312yes—
623D4×Dic43C2314yes—
624D4×Dic43C2312yes—
625D4×Dic43C2312yes—
626D4×Dic43C2312yes—
627D4×Dic43C2312yes—
628D4×Dic43C2312yes—
629D4×Dic43C2312yes—
630D4×Dic43C2314yes—
631D4×Dic43C2314yes—
632D4×Dic43C2314yes—
633D4×Dic43C2312yes—
634D4×Dic43C2312yes—
635D4×Dic43C2311yescharacteristic
636D4×Dic43C2312yes—
637D4×Dic43C2312yes—
638D4×Dic43C2311yescharacteristic
639D4×Dic43C2314yes—
640D4×Dic43C2314yes—
641D4×Dic43C2312yes—
642D4×Dic43C2312yes—
643#13063287C2311yescharacteristic
644#13063287C2312yes—
645#13063287C2311yescharacteristic
646C4×C22⋊D43C2314yes—
647C4×C22⋊D43C2314yes—
648C4×C22⋊D43C2314yes—
649C4×C22⋊D43C2314yes—
650C4×C22⋊D43C2312yes—
651C4×C22⋊D43C2312yes—
652C4×C22⋊D43C2312yes—
653C4×C22⋊D43C2312yes—
654C4×C22⋊D43C2314yes—
655(C22⋊D43)⋊C4C2312yes—
656(C22⋊D43)⋊C4C2312yes—
657(C22⋊D43)⋊C4C2314yes—
658(C22⋊D43)⋊C4C2314yes—
659(C22⋊D43)⋊C4C2314yes—
660(C22⋊D43)⋊C4C2312yes—
661(C22⋊D43)⋊C4C2312yes—
662(C22⋊D43)⋊C4C2312yes—
663(C22⋊D43)⋊C4C2312yes—
664#13063284C2312yes—
665#13063284C2314yes—
666#13063284C2314yes—
667#13063284C2314yes—
668#13063284C2314yes—
669#13063284C2311yescharacteristic
670#13063284C2312yes—
671#13063284C2311yescharacteristic
672#13063284C2311yescharacteristic
673#13063284C2311yescharacteristic
674#13063284C2312yes—
675#13063284C2311yescharacteristic
676#13063284C2312yes—
677#13063283C2312yes—
678#13063283C2312yes—
679#13063283C2312yes—
680#13063283C2312yes—
681#13063282C2314yes—
682#13063282C2314yes—
683#13063282C2312yes—
684#13063281C2314yes—
685#13063281C2314yes—
686#13063281C2314yes—
687#13063281C2314yes—
688#13063281C2314yes—
689#13063281C2314yes—
690#13063281C2314yes—
691#13063281C2314yes—
692#13063281C2314yes—
693#13063281C2312yes—
694#13063281C2312yes—
695#13063281C2312yes—
696#13063281C2314yes—
697#13063281C2312yes—
698#13063281C2314yes—
699#13063281C2314yes—
700C2×C4⋊Dic43C2311yescharacteristic
701C2×C4⋊Dic43C2312yes—
702C2×C4⋊Dic43C2314yes—
703C2×C4⋊Dic43C2312yes—
704C2×C4⋊Dic43C2314yes—
705C2×C4⋊Dic43C2311yescharacteristic
706C2×C4⋊Dic43C2312yes—
707C2×C4⋊Dic43C2311yescharacteristic
708C2×C4⋊Dic43C2312yes—
709C2×Dic43⋊C4C2312yes—
710C2×Dic43⋊C4C2314yes—
711C2×Dic43⋊C4C2312yes—
712C2×Dic43⋊C4C2312yes—
713C2×Dic43⋊C4C2314yes—
714C2×Dic43⋊C4C2314yes—
715C2×Dic43⋊C4C2312yes—
716C2×Dic43⋊C4C2312yes—
717C2×Dic43⋊C4C2312yes—
718C2×Dic43⋊C4C2312yes—
719C4⋊C4×D43C2314yes—
720C4⋊C4×D43C2314yes—
721C4⋊C4×D43C2312yes—
722C4⋊C4×D43C2312yes—
723C2×C22⋊Dic43C2312yes—
724C2×C22⋊Dic43C2312yes—
725C2×C22⋊Dic43C2312yes—
726C2×C22⋊Dic43C2314yes—
727C2×C22⋊Dic43C2312yes—
728C2×C22⋊Dic43C2312yes—
729C2×C4×Dic43C2311yescharacteristic
730C2×C4×Dic43C2311yescharacteristic
731C2×C4×Dic43C2311yescharacteristic
732C2×C4×Dic43C2311yescharacteristic
733C2×C4×Dic43C2311yescharacteristic
734C2×C4×Dic43C2311yescharacteristic
735C2×C4×Dic43C2311yescharacteristic
736C2×C4×Dic43C2311yescharacteristic
737C2×C4×Dic43C2311yescharacteristic
738C2×C4×Dic43C2311yescharacteristic
739C2×C4×Dic43C2311yescharacteristic
740C2×C4×Dic43C2311yescharacteristic
741C2×C4×Dic43C2312yes—
742C2×C4×Dic43C2312yes—
743C2×C4×Dic43C2312yes—
744C42×D43C2312yes—
745C2×#41×C43C2311yescharacteristic
746C2×#41×C43C2314yes—
747C22×D4×C43C2311yescharacteristic
748C22×D4×C43C2312yes—
749C23×C4×C43C2311yescharacteristic
750C4⋊Q8×C43C2312yes—
751C4⋊Q8×C43C2312yes—
752#127×C43C2312yes—
753#126×C43C2314yes—
754#126×C43C2314yes—
755#125×C43C2312yes—
756#125×C43C2312yes—
757#124×C43C2312yes—
758#124×C43C2314yes—
759#124×C43C2314yes—
760#123×C43C2312yes—
761#123×C43C2314yes—
762#123×C43C2314yes—
763#123×C43C2314yes—
764#123×C43C2314yes—
765C22⋊Q8×C43C2311yescharacteristic
766C22⋊Q8×C43C2311yescharacteristic
767C22⋊Q8×C43C2314yes—
768C22⋊Q8×C43C2314yes—
769#121×C43C2314yes—
770#121×C43C2314yes—
771#121×C43C2312yes—
772#121×C43C2312yes—
773#121×C43C2312yes—
774#121×C43C2312yes—
775#121×C43C2311yescharacteristic
776#121×C43C2311yescharacteristic
777#121×C43C2312yes—
778#121×C43C2312yes—
779#121×C43C2314yes—
780#120×C43C2312yes—
781#120×C43C2314yes—
782C4×Q8×C43C2312yes—
783C4×D4×C43C2312yes—
784C4×D4×C43C2312yes—
785C4×D4×C43C2314yes—
786C4×D4×C43C2312yes—
787C4×D4×C43C2312yes—
788C4×D4×C43C2312yes—
789C4×D4×C43C2314yes—
790C4×D4×C43C2312yes—
791C4×D4×C43C2312yes—
792C4×D4×C43C2314yes—
793#117×C43C2311yescharacteristic
794#117×C43C2312yes—
795#117×C43C2311yescharacteristic
796#117×C43C2311yescharacteristic
797#117×C43C2312yes—
798#117×C43C2311yescharacteristic
799#117×C43C2311yescharacteristic
800#117×C43C2312yes—
801#117×C43C2314yes—
802C2×C4⋊C4×C43C2311yescharacteristic
803C2×C4⋊C4×C43C2311yescharacteristic
804C2×C4⋊C4×C43C2311yescharacteristic
805C2×C4⋊C4×C43C2312yes—
806C2×C22⋊C4×C43C2312yes—
807C2×C22⋊C4×C43C2314yes—
808C2×C22⋊C4×C43C2312yes—
809C2×C42×C43C2312yes—
810C24×C43C2411yescharacteristic
811C24×C43C2412yes—
812#41×C43—24no—
813#41×C43—48no—
814C2×Q8×C43C2411yescharacteristic
815C2×Q8×C43C2414yes—
816C2×D4×C43—24no—
817C2×D4×C43—44no—
818C2×D4×C43C2412yes—
819C2×D4×C43C2412yes—
820C2×D4×C43C2412yes—
821C2×D4×C43C2411yescharacteristic
822C2×D4×C43C2412yes—
823C2×D4×C43C2414yes—
824C2×D4×C43C2412yes—
825C2×D4×C43C2414yes—
826C2×D4×C43C2414yes—
827C2×D4×C43C2414yes—
828C22×C4×C43—24no—
829C22×C4×C43C2411yescharacteristic
830C22×C4×C43C2412yes—
831C22×C4×C43C2411yescharacteristic
832C22×C4×C43C2411yescharacteristic
833C22×C4×C43C2412yes—
834C22×C4×C43C2411yescharacteristic
835C22×C4×C43C2411yescharacteristic
836C22×C4×C43C2412yes—
837C22×C4×C43C2412yes—
838C22×C4×C43C2414yes—
839C22×C4×C43C2414yes—
840C22×C4×C43C2414yes—
841C22×C4×C43C2411yescharacteristic
842C2×C22⋊D43C2412yes—
843C2×C22⋊D43C2412yes—
844C2×C22⋊D43C2412yes—
845C2×C22⋊D43C2412yes—
846C2×C22⋊D43C2414yes—
847C2×C22⋊D43C2414yes—
848C2×C22⋊D43C2412yes—
849C22×Dic43—42no—
850C22×Dic43—42no—
851C22×Dic43—44no—
852C22×Dic43C2411yescharacteristic
853C22×Dic43C2411yescharacteristic
854C22×Dic43C2411yescharacteristic
855C22×Dic43C2411yescharacteristic
856C22×Dic43C2411yescharacteristic
857C22×Dic43C2412yes—
858C22×Dic43C2412yes—
859C22×Dic43C2414yes—
860C22×Dic43C2411yescharacteristic
861C22×Dic43C2411yescharacteristic
862C22×Dic43C2411yescharacteristic
863C22×Dic43C2411yescharacteristic
864C22×Dic43C2411yescharacteristic
865C22×Dic43C2411yescharacteristic
866C22×Dic43C2411yescharacteristic
867C22×Dic43C2412yes—
868C22×Dic43C2412yes—
869C22×Dic43C2412yes—
870C22×Dic43C2412yes—
871C22×Dic43C2414yes—
872C22×Dic43C2414yes—
873C22×Dic43C2414yes—
874C22×Dic43C2414yes—
875#10621900—44no—
876#10621900—48no—
877#10621900—48no—
878#10621900—44no—
879#10621898—24no—
880C2×D172C2411yescharacteristic
881C2×C4×D43C2412yes—
882C2×C4×D43C2412yes—
883C2×C4×D43C2412yes—
884C2×C4×D43C2414yes—
885C2×C4×D43C2414yes—
886C2×Dic86—24no—
887C2×Dic86—48no—
888C2×Dic86—44no—
889C2×Dic86—44no—
890C2×Dic86C2412yes—
891C2×Dic86C2412yes—
892C2×Dic86C2411yescharacteristic
893C2×Dic86C2412yes—
894C2×Dic86C2412yes—
895C2×Dic86C2412yes—
896C2×Dic86C2414yes—
897C2×Dic86C2412yes—
898C2×Dic86C2414yes—
899C2×Dic86C2414yes—
900C2×Dic86C2412yes—
901C2×Dic86C2412yes—
902C2×Dic86C2412yes—
903C2×Dic86C2412yes—
904C2×Dic86C2412yes—
905C2×Dic86C2412yes—
906C4⋊C4×C43C2411yescharacteristic
907C4⋊C4×C43C2412yes—
908C4⋊C4×C43C2411yescharacteristic
909C4⋊C4×C43C2411yescharacteristic
910C4⋊C4×C43C2411yescharacteristic
911C4⋊C4×C43C2412yes—
912C4⋊C4×C43C2412yes—
913C4⋊C4×C43C2412yes—
914C4⋊C4×C43C2414yes—
915C4⋊C4×C43C2412yes—
916C4⋊C4×C43C2411yescharacteristic
917C4⋊C4×C43C2411yescharacteristic
918C4⋊C4×C43C2414yes—
919C4⋊C4×C43C2414yes—
920C4⋊C4×C43C2414yes—
921C4⋊C4×C43C2412yes—
922C22⋊C4×C43C2412yes—
923C22⋊C4×C43C2412yes—
924C22⋊C4×C43C2412yes—
925C22⋊C4×C43C2412yes—
926C22⋊C4×C43C2412yes—
927C22⋊C4×C43C2414yes—
928C22⋊C4×C43C2414yes—
929C22⋊C4×C43C2414yes—
930C22⋊C4×C43C2414yes—
931C22⋊C4×C43C2414yes—
932C22⋊C4×C43C2414yes—
933C22⋊C4×C43C2412yes—
934C22⋊C4×C43C2412yes—
935C22⋊C4×C43C2414yes—
936C22⋊C4×C43C2412yes—
937C22⋊C4×C43C2412yes—
938C42×C43C2412yes—
939C42×C43C2412yes—
940C42×C43C2412yes—
941C42×C43C2412yes—
942C42×C43C2414yes—
943C42×C43C2412yes—
944C22⋊Dic43C2412yes—
945C22⋊Dic43C2412yes—
946C22⋊Dic43C2414yes—
947C22⋊Dic43C2412yes—
948C22⋊Dic43C2414yes—
949C22⋊Dic43C2414yes—
950C22⋊Dic43C2414yes—
951C22⋊Dic43C2412yes—
952C22⋊Dic43C2412yes—
953C22⋊Dic43C2414yes—
954C22⋊Dic43C2414yes—
955C22⋊Dic43C2414yes—
956C22⋊Dic43C2414yes—
957C22⋊Dic43C2414yes—
958C22⋊Dic43C2414yes—
959C22⋊Dic43C2414yes—
960C22⋊Dic43C2412yes—
961C22⋊Dic43C2412yes—
962C22⋊Dic43C2412yes—
963C22⋊Dic43C2412yes—
964C22⋊Dic43C2414yes—
965C22⋊Dic43C2414yes—
966C22⋊Dic43C2414yes—
967C22⋊Dic43C2412yes—
968C22⋊Dic43C2412yes—
969C22⋊Dic43C2414yes—
970(C2×D43)⋊C4C2412yes—
971(C2×D43)⋊C4C2412yes—
972(C2×D43)⋊C4C2412yes—
973(C2×D43)⋊C4C2412yes—
974(C2×D43)⋊C4C2414yes—
975(C2×D43)⋊C4C2414yes—
976(C2×D43)⋊C4C2412yes—
977(C2×D43)⋊C4C2412yes—
978(C2×D43)⋊C4C2414yes—
979(C2×D43)⋊C4C2414yes—
980C4⋊Dic43C2411yescharacteristic
981C4⋊Dic43C2412yes—
982C4⋊Dic43C2412yes—
983C4⋊Dic43C2414yes—
984C4⋊Dic43C2411yescharacteristic
985C4⋊Dic43C2412yes—
986C4⋊Dic43C2412yes—
987C4⋊Dic43C2412yes—
988C4⋊Dic43C2414yes—
989C4⋊Dic43C2411yescharacteristic
990C4⋊Dic43C2411yescharacteristic
991C4⋊Dic43C2412yes—
992C4⋊Dic43C2412yes—
993C4⋊Dic43C2412yes—
994C4⋊Dic43C2412yes—
995C4⋊Dic43C2412yes—
996C4⋊Dic43C2412yes—
997C4⋊Dic43C2414yes—
998C4⋊Dic43C2414yes—
999C4⋊Dic43C2414yes—
1000C4⋊Dic43C2414yes—
1001C4⋊Dic43C2412yes—
1002C4⋊Dic43C2412yes—
1003C4⋊Dic43C2412yes—
1004C4⋊Dic43C2414yes—
1005C4⋊Dic43C2411yescharacteristic
1006C4⋊Dic43C2411yescharacteristic
1007C4⋊Dic43C2412yes—
1008C4⋊Dic43C2412yes—
1009C4⋊Dic43C2414yes—
1010Dic43⋊C4C2412yes—
1011Dic43⋊C4C2414yes—
1012Dic43⋊C4C2414yes—
1013Dic43⋊C4C2414yes—
1014Dic43⋊C4C2414yes—
1015Dic43⋊C4C2414yes—
1016Dic43⋊C4C2412yes—
1017Dic43⋊C4C2412yes—
1018Dic43⋊C4C2412yes—
1019Dic43⋊C4C2412yes—
1020Dic43⋊C4C2412yes—
1021Dic43⋊C4C2414yes—
1022Dic43⋊C4C2414yes—
1023Dic43⋊C4C2412yes—
1024Dic43⋊C4C2412yes—
1025Dic43⋊C4C2414yes—
1026Dic43⋊C4C2414yes—
1027Dic43⋊C4C2412yes—
1028Dic43⋊C4C2414yes—
1029Dic43⋊C4C2412yes—
1030Dic43⋊C4C2414yes—
1031Dic43⋊C4C2414yes—
1032Dic43⋊C4C2414yes—
1033Dic43⋊C4C2412yes—
1034Dic43⋊C4C2412yes—
1035Dic43⋊C4C2412yes—
1036Dic43⋊C4C2412yes—
1037Dic43⋊C4C2412yes—
1038Dic43⋊C4C2412yes—
1039Dic43⋊C4C2412yes—
1040Dic43⋊C4C2412yes—
1041Dic43⋊C4C2412yes—
1042Dic43⋊C4C2412yes—
1043Dic43⋊C4C2414yes—
1044Dic43⋊C4C2412yes—
1045Dic43⋊C4C2412yes—
1046Dic43⋊C4C2412yes—
1047Dic43⋊C4C2412yes—
1048Dic43⋊C4C2414yes—
1049Dic43⋊C4C2414yes—
1050Dic43⋊C4C2414yes—
1051Dic43⋊C4C2414yes—
1052Dic43⋊C4C2414yes—
1053Dic43⋊C4C2414yes—
1054Dic43⋊C4C2412yes—
1055Dic43⋊C4C2412yes—
1056C4×Dic43C2411yescharacteristic
1057C4×Dic43C2412yes—
1058C4×Dic43C2412yes—
1059C4×Dic43C2411yescharacteristic
1060C4×Dic43C2411yescharacteristic
1061C4×Dic43C2411yescharacteristic
1062C4×Dic43C2411yescharacteristic
1063C4×Dic43C2411yescharacteristic
1064C4×Dic43C2411yescharacteristic
1065C4×Dic43C2411yescharacteristic
1066C4×Dic43C2411yescharacteristic
1067C4×Dic43C2411yescharacteristic
1068C4×Dic43C2411yescharacteristic
1069C4×Dic43C2411yescharacteristic
1070C4×Dic43C2411yescharacteristic
1071C4×Dic43C2411yescharacteristic
1072C4×Dic43C2411yescharacteristic
1073C4×Dic43C2411yescharacteristic
1074C4×Dic43C2412yes—
1075C4×Dic43C2412yes—
1076C4×Dic43C2414yes—
1077C4×Dic43C2412yes—
1078C4×Dic43C2412yes—
1079C4×Dic43C2414yes—
1080C4×Dic43C2412yes—
1081C4×Dic43C2412yes—
1082C4×Dic43C2412yes—
1083C4×Dic43C2414yes—
1084C4×Dic43C2414yes—
1085C4×Dic43C2414yes—
1086C4×Dic43C2414yes—
1087C4×Dic43C2414yes—
1088C4×Dic43C2414yes—
1089C4×Dic43C2414yes—
1090C23×C43—22no—
1091C23×C43—22no—
1092C23×C43—24no—
1093C23×C43—41no—
1094C23×C43—42no—
1095C23×C43—42no—
1096C23×C43C2511yescharacteristic
1097C23×C43C2514yes—
1098C23×C43C2512yes—
1099C23×C43C2511yescharacteristic
1100C23×C43C2511yescharacteristic
1101C22×D43C2512yes—
1102Q8×C43—22no—
1103Q8×C43—44no—
1104D4×C43—24no—
1105D4×C43—28no—
1106D4×C43—24no—
1107D4×C43—24no—
1108D4×C43—24no—
1109D4×C43—22no—
1110D4×C43—42no—
1111D4×C43—44no—
1112D4×C43—44no—
1113D4×C43—44no—
1114C2×C4×C43—22no—
1115C2×C4×C43—24no—
1116C2×C4×C43—22no—
1117C2×C4×C43—22no—
1118C2×C4×C43—22no—
1119C2×C4×C43—22no—
1120C2×C4×C43—24no—
1121C2×C4×C43—44no—
1122C2×C4×C43—42no—
1123C2×C4×C43—42no—
1124C2×C4×C43—44no—
1125C2×C4×C43—44no—
1126C2×C4×C432−1+414yes—
1127C2×C4×C43C2511yescharacteristic
1128C2×C4×C43C2512yes—
1129C2×C4×C43C2511yescharacteristic
1130C2×C4×C43C2512yes—
1131C2×C4×C43C2512yes—
1132C2×C4×C43C2514yes—
1133C2×C4×C43C2512yes—
1134C2×C4×C43C2512yes—
1135C2×C4×C43C2512yes—
1136C2×C4×C43C2512yes—
1137C2×C4×C43C2511yescharacteristic
1138C2×C4×C43C2511yescharacteristic
1139C22⋊D43—24no—
1140C22⋊D43—24no—
1141C22⋊D43—24no—
1142C22⋊D43—42no—
1143C22⋊D43—44no—
1144C22⋊D43—44no—
1145C22⋊D43—42no—
1146C2×Dic43—24no—
1147C2×Dic43—22no—
1148C2×Dic43—24no—
1149C2×Dic43—22no—
1150C2×Dic43—22no—
1151C2×Dic43—28no—
1152C2×Dic43—22no—
1153C2×Dic43—22no—
1154C2×Dic43—44no—
1155C2×Dic43—42no—
1156C2×Dic43—42no—
1157C2×Dic43—44no—
1158C2×Dic43—44no—
1159C2×Dic43—42no—
1160C2×Dic43—41no—
1161C2×Dic43—41no—
1162C2×Dic43—41no—
1163C2×Dic43—41no—
1164C2×Dic43—41no—
1165C2×Dic43—41no—
1166C2×Dic43—42no—
1167C2×Dic43—44no—
1168C2×Dic43—41no—
1169C2×Dic43C2511yescharacteristic
1170C2×Dic43C2511yescharacteristic
1171C2×Dic43C2511yescharacteristic
1172C2×Dic43C2512yes—
1173C2×Dic43C2514yes—
1174C2×Dic43C2512yes—
1175C2×Dic43C2511yescharacteristic
1176C2×Dic43C2512yes—
1177C2×Dic43C2511yescharacteristic
1178C2×Dic43C2511yescharacteristic
1179C2×Dic43C2512yes—
1180C2×Dic43C2512yes—
1181C2×Dic43C2512yes—
1182C2×Dic43C2511yescharacteristic
1183C2×Dic43C2512yes—
1184C2×Dic43C2514yes—
1185C2×Dic43C2511yescharacteristic
1186D172—22no—
1187C4×D43—24no—
1188C4×D43—44no—
1189C4×D43—44no—
1190C4×D43—42no—
1191C4×D43—42no—
1192Dic86—24no—
1193Dic86—24no—
1194Dic86—22no—
1195Dic86—24no—
1196Dic86—24no—
1197Dic86—24no—
1198Dic86—42no—
1199Dic86—44no—
1200Dic86—44no—
1201Dic86—42no—
1202Dic86—42no—
1203Dic86—42no—
1204Dic86—42no—
1205Dic86—42no—
1206Dic86—44no—
1207Dic86—42no—
1208#62831—431nomaximal, Sylow
1209C22×C43—21no—
1210C22×C43—21no—
1211C22×C43—21no—
1212C22×C43—21no—
1213C22×C43—21no—
1214C22×C43—24no—
1215C22×C43—22no—
1216C22×C43—21no—
1217C22×C43—24no—
1218C22×C43—21no—
1219C22×C43—24no—
1220C22×C43—22no—
1221C22×C43—22no—
1222C22×C43—44no—
1223C22×C43—84no—
1224C22×C43C2×2−1+412yes—
1225C22×C43#58512yes—
1226C22×C43C2611yescharacteristic
1227C2×D43—22no—
1228C2×D43—22no—
1229C2×D43—22no—
1230C4×C43—21no—
1231C4×C43—21no—
1232C4×C43—22no—
1233C4×C43—22no—
1234C4×C43—22no—
1235C4×C43—22no—
1236C4×C43—22no—
1237C4×C43—22no—
1238C4×C43—24no—
1239C4×C43—22no—
1240C4×C43C2×2−1+412yes—
1241C4×C43C2×2−1+412yes—
1242Dic43—24no—
1243Dic43—22no—
1244Dic43—22no—
1245Dic43—22no—
1246Dic43—22no—
1247Dic43—21no—
1248Dic43—21no—
1249Dic43—21no—
1250Dic43—22no—
1251Dic43—22no—
1252Dic43—22no—
1253Dic43—24no—
1254Dic43—21no—
1255Dic43—21no—
1256Dic43—21no—
1257Dic43—21no—
1258Dic43#58512yes—
1259#3565—432no—
1260#3565—432no—
1261#3564—434no—
1262#3557—432no—
1263#3557—432no—
1264#3555—432no—
1265#3554—432no—
1266#3552—432no—
1267#3544—432no—
1268#3535—434no—
1269#3523—432no—
1270#3522—432no—
1271#3520—434no—
1272#3518—432no—
1273#3515—432no—
1274#3515—432no—
1275#3515—432no—
1276#3510—431no—
1277#3510—431no—
1278#3507—432no—
1279#3507—432no—
1280#3507—431no—
1281#3506—431no—
1282#3504—431no—
1283#3504—431no—
1284#3502—431no—
1285#3501—431no—
1286#3495—434no—
1287#3495—431no—
1288#3495—431no—
1289#3494—431no—
1290#3494D4311yescharacteristic, complemented
1291#3444—431no—
1292C2×#533—431no—
1293C2×#529—431no—
1294C2×C43—22no—
1295C2×C43—22no—
1296C2×C43—42no—
1297C2×C43—41no—
1298C2×C43—44no—
1299C2×C43C22×2−1+411yescharacteristic
1300C2×C43C2×#58511yescharacteristic
1301C2×C43C2×#58511yescharacteristic
1302D43—42no—
1303#563—434no—
1304#563—434no—
1305#563—434no—
1306#563—434no—
1307#563—434no—
1308#563—434no—
1309#562—434no—
1310#562—434no—
1311#559—432no—
1312#559—432no—
1313#559—432no—
1314#559—432no—
1315#559—432no—
1316#559—432no—
1317#559—432no—
1318Q82—432no—
1319Q82—432no—
1320#557—432no—
1321#557—432no—
1322#557—432no—
1323#557—432no—
1324#557—432no—
1325#557—432no—
1326#557—432no—
1327#557—432no—
1328#557—432no—
1329#557—432no—
1330#557—432no—
1331#556—434no—
1332#556—434no—
1333#556—432no—
1334#556—432no—
1335#556—434no—
1336#556—432no—
1337#556—434no—
1338#556—432no—
1339#556—432no—
1340#556—432no—
1341#556—432no—
1342#556—432no—
1343#556—432no—
1344#556—432no—
1345#556—434no—
1346#555—432no—
1347#555—432no—
1348#555C2×D4312yes—
1349#554—432no—
1350#554—432no—
1351#554—434no—
1352#554—434no—
1353#554—434no—
1354#554—432no—
1355#554—432no—
1356#554—432no—
1357#554—432no—
1358#554—434no—
1359#554—432no—
1360#554—432no—
1361#554—432no—
1362#554—432no—
1363#554—432no—
1364#554—432no—
1365#554—432no—
1366#553—432no—
1367#553—432no—
1368#553—432no—
1369#553—432no—
1370#553C2×D4312yes—
1371#553C2×D4312yes—
1372#552—434no—
1373#552—434no—
1374#552—434no—
1375#552—434no—
1376#552—434no—
1377#552—434no—
1378#552—434no—
1379#552—434no—
1380#552—434no—
1381#552—434no—
1382#552—432no—
1383#552—432no—
1384#552—434no—
1385#552—434no—
1386#552—434no—
1387#552—434no—
1388#552—432no—
1389#552—432no—
1390#552—432no—
1391#552—432no—
1392#551—434no—
1393#551—434no—
1394#551—434no—
1395#551—434no—
1396#551—434no—
1397#551—434no—
1398#551—434no—
1399#551C2×D4314yes—
1400#550—432no—
1401D4×Q8—432no—
1402D4×Q8—432no—
1403D4×Q8—434no—
1404#548—434no—
1405#548—434no—
1406#547—434no—
1407#547—434no—
1408#547—432no—
1409#547—432no—
1410#547—434no—
1411#547—434no—
1412#547C2×D4312yes—
1413#546—434no—
1414#546C2×D4314yes—
1415#544—432no—
1416#544—432no—
1417#544—434no—
1418#544—434no—
1419#544—431no—
1420#544—431no—
1421#544—432no—
1422#544—431no—
1423#544—432no—
1424#544C2×D4311yescharacteristic
1425#543—434no—
1426#542—434no—
1427#542—434no—
1428#542—434no—
1429#542—434no—
1430#542—434no—
1431#542—432no—
1432#542—432no—
1433#542—432no—
1434#542—432no—
1435#542—434no—
1436#542—434no—
1437#542—432no—
1438#542—432no—
1439#542—434no—
1440#542—432no—
1441#542C2×D4312yes—
1442#541—434no—
1443#541—434no—
1444#541—434no—
1445#541—434no—
1446#541—432no—
1447#541—434no—
1448#541—432no—
1449#541—434no—
1450#540—432no—
1451#540C2×D4312yes—
1452#539—434no—
1453#539—434no—
1454#539—434no—
1455#539—434no—
1456#539—434no—
1457#539—434no—
1458#539—434no—
1459#539—434no—
1460#539—434no—
1461#539—434no—
1462#539—434no—
1463#538—434no—
1464#536—431no—
1465#536—434no—
1466#536—434no—
1467#536—434no—
1468#536—431no—
1469#535—431no—
1470#535C2×D4311yescharacteristic
1471#533—432no—
1472#533—431no—
1473#533—431no—
1474#533—434no—
1475#533—432no—
1476#533—432no—
1477#533—431no—
1478#533—431no—
1479#533—431no—
1480#533—431no—
1481#533—432no—
1482#533—431no—
1483#533—431no—
1484#533—432no—
1485#533—432no—
1486#533—431no—
1487#533—431no—
1488#533—431no—
1489#533—432no—
1490#533—432no—
1491#532—431no—
1492#532—431no—
1493#532—431no—
1494#532—432no—
1495#532C2×D4312yes—
1496C2×C4⋊Q8—431no—
1497C2×C4⋊Q8—431no—
1498#529—432no—
1499#529—432no—
1500#529—431no—
1501#529—431no—
1502#529—432no—
1503#529—432no—
1504#529—432no—
1505#529—432no—
1506#529—432no—
1507#529—432no—
1508#529—432no—
1509#529—432no—
1510#529—431no—
1511#529—431no—
1512#529—432no—
1513#529—432no—
1514#529—432no—
1515#529—432no—
1516#529—432no—
1517#529—432no—
1518#529—434no—
1519#529—432no—
1520#529—432no—
1521#529—432no—
1522#529C2×D4312yes—
1523C2×#126—432no—
1524C2×#125—432no—
1525C2×#125—431no—
1526C2×#125—431no—
1527C2×#125—431no—
1528C2×#125—432no—
1529C2×#124—431no—
1530#525—431no—
1531#525—432no—
1532#525—432no—
1533#525—434no—
1534#525C2×D4311yescharacteristic
1535C2×#123—432no—
1536C2×C22⋊Q8—431no—
1537C2×C22⋊Q8—432no—
1538C2×C22⋊Q8—432no—
1539C2×C22⋊Q8—434no—
1540C2×#121C2×D4311yescharacteristic
1541#520—431no—
1542#520—434no—
1543#520—434no—
1544#520—434no—
1545#520—431no—
1546#520—431no—
1547#520C2×D4311yescharacteristic
1548#519—431no—
1549#519—431no—
1550#519—434no—
1551#518—431no—
1552#518C2×D4311yescharacteristic
1553C4×#41—431no—
1554C4×#41—432no—
1555C4×#41—432no—
1556C4×#41—431no—
1557C2×C4×Q8—431no—
1558C2×C4×Q8—432no—
1559C2×C4×Q8—432no—
1560C2×C4×D4—431no—
1561C2×C4×D4—432no—
1562C2×#117—431no—
1563C2×#117—432no—
1564C2×#117C2×D4311yescharacteristic
1565C22×C42—431no—
1566C43#6283111yescharacteristic, complemented, Sylow
1567C2×#41—432no—
1568C2×#41—432no—
1569C2×#41—434no—
1570C2×#41—434no—
1571C2×#41—431no—
1572C2×#41C22×D4311yescharacteristic
1573C2×#41C22×D4314yes—
1574C22×Q8—431no—
1575C22×Q8—432no—
1576C22×Q8—432no—
1577C22×Q8—434no—
1578C22×D4C22×D4311yescharacteristic
1579C22×D4C22×D4312yes—
1580C23×C4—432no—
1581C23×C4—431no—
1582C23×C4—431no—
1583C23×C4C22×D4311yescharacteristic
1584C4⋊Q8—431no—
1585C4⋊Q8—432no—
1586C4⋊Q8—434no—
1587C4⋊Q8—434no—
1588C4⋊Q8—434no—
1589C4⋊Q8—434no—
1590C4⋊Q8—432no—
1591C4⋊Q8—431no—
1592C4⋊Q8—431no—
1593C4⋊Q8—432no—
1594C4⋊Q8—431no—
1595C4⋊Q8—431no—
1596C4⋊Q8—431no—
1597C4⋊Q8—431no—
1598C4⋊Q8—431no—
1599C4⋊Q8—431no—
1600C4⋊Q8—432no—
1601C4⋊Q8—432no—
1602C4⋊Q8—431no—
1603C4⋊Q8—431no—
1604C4⋊Q8—432no—
1605C4⋊Q8—434no—
1606C4⋊Q8—432no—
1607C4⋊Q8—432no—
1608C4⋊Q8—432no—
1609C4⋊Q8—434no—
1610C4⋊Q8—434no—
1611C4⋊Q8—434no—
1612C4⋊Q8—434no—
1613C4⋊Q8—432no—
1614C4⋊Q8—432no—
1615C4⋊Q8—432no—
1616C4⋊Q8—434no—
1617C4⋊Q8C22×D4312yes—
1618C4⋊Q8C22×D4312yes—
1619#127—431no—
1620#127—432no—
1621#127C22×D4312yes—
1622#126—432no—
1623#126—432no—
1624#126—434no—
1625#126—434no—
1626#126—434no—
1627#126—434no—
1628#126—434no—
1629#126—434no—
1630#126—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—434no—
1641#126—434no—
1642#126—434no—
1643#126—434no—
1644#126—434no—
1645#126—434no—
1646#126—434no—
1647#126—434no—
1648#126—434no—
1649#126—434no—
1650#126—434no—
1651#126—434no—
1652#126—434no—
1653#126—434no—
1654#126C22×D4314yes—
1655#126C22×D4314yes—
1656#125—431no—
1657#125—432no—
1658#125—431no—
1659#125—431no—
1660#125—431no—
1661#125—432no—
1662#125—432no—
1663#125—432no—
1664#125—432no—
1665#125—432no—
1666#125—432no—
1667#125—432no—
1668#125—431no—
1669#125—431no—
1670#125—431no—
1671#125—431no—
1672#125—434no—
1673#125—434no—
1674#125—434no—
1675#125—434no—
1676#125—432no—
1677#125—432no—
1678#125—432no—
1679#125—432no—
1680#125—431no—
1681#125—431no—
1682#125—432no—
1683#125—434no—
1684#125—432no—
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—434no—
1699#125—434no—
1700#125—432no—
1701#125—432no—
1702#125—434no—
1703#125—434no—
1704#125—434no—
1705#125C22×D4312yes—
1706#125C22×D4312yes—
1707#124—431no—
1708#124—432no—
1709#124—432no—
1710#124—432no—
1711#124—432no—
1712#124—431no—
1713#124—432no—
1714#124—432no—
1715#124—434no—
1716#124—434no—
1717#124—434no—
1718#124—434no—
1719#124—434no—
1720#124—432no—
1721#124—432no—
1722#124—434no—
1723#124—434no—
1724#124—434no—
1725#124—434no—
1726#124—434no—
1727#124—434no—
1728#124—432no—
1729#124C22×D4312yes—
1730#124C22×D4314yes—
1731#124C22×D4314yes—
1732#123—434no—
1733#123—434no—
1734#123—434no—
1735#123—434no—
1736#123—432no—
1737#123—432no—
1738#123—434no—
1739#123—434no—
1740#123—434no—
1741#123—434no—
1742#123—434no—
1743#123—434no—
1744#123—434no—
1745#123—434no—
1746#123—434no—
1747#123—434no—
1748#123—434no—
1749#123—432no—
1750#123—434no—
1751#123—434no—
1752#123—434no—
1753#123—434no—
1754#123—432no—
1755#123—432no—
1756#123—434no—
1757#123—434no—
1758#123—434no—
1759#123—434no—
1760#123—434no—
1761#123—434no—
1762#123—434no—
1763#123—434no—
1764#123—434no—
1765#123C22×D4312yes—
1766#123C22×D4314yes—
1767#123C22×D4314yes—
1768#123C22×D4314yes—
1769#123C22×D4314yes—
1770C22⋊Q8—434no—
1771C22⋊Q8—434no—
1772C22⋊Q8—432no—
1773C22⋊Q8—432no—
1774C22⋊Q8—432no—
1775C22⋊Q8—432no—
1776C22⋊Q8—431no—
1777C22⋊Q8—431no—
1778C22⋊Q8—432no—
1779C22⋊Q8—432no—
1780C22⋊Q8—434no—
1781C22⋊Q8—434no—
1782C22⋊Q8—434no—
1783C22⋊Q8—434no—
1784C22⋊Q8—434no—
1785C22⋊Q8—434no—
1786C22⋊Q8—434no—
1787C22⋊Q8—434no—
1788C22⋊Q8—434no—
1789C22⋊Q8—434no—
1790C22⋊Q8—434no—
1791C22⋊Q8—432no—
1792C22⋊Q8—432no—
1793C22⋊Q8—434no—
1794C22⋊Q8—434no—
1795C22⋊Q8—434no—
1796C22⋊Q8—434no—
1797C22⋊Q8—434no—
1798C22⋊Q8—434no—
1799C22⋊Q8—432no—
1800C22⋊Q8—432no—
1801C22⋊Q8—432no—
1802C22⋊Q8—432no—
1803C22⋊Q8—432no—
1804C22⋊Q8—432no—
1805C22⋊Q8—432no—
1806C22⋊Q8—432no—
1807C22⋊Q8—432no—
1808C22⋊Q8—432no—
1809C22⋊Q8—432no—
1810C22⋊Q8—432no—
1811C22⋊Q8—432no—
1812C22⋊Q8—432no—
1813C22⋊Q8—432no—
1814C22⋊Q8—432no—
1815C22⋊Q8—432no—
1816C22⋊Q8—434no—
1817C22⋊Q8—434no—
1818C22⋊Q8—434no—
1819C22⋊Q8—434no—
1820C22⋊Q8—434no—
1821C22⋊Q8—434no—
1822C22⋊Q8—432no—
1823C22⋊Q8—432no—
1824C22⋊Q8—432no—
1825C22⋊Q8—434no—
1826C22⋊Q8—434no—
1827C22⋊Q8—434no—
1828C22⋊Q8—434no—
1829C22⋊Q8—434no—
1830C22⋊Q8—434no—
1831C22⋊Q8—434no—
1832C22⋊Q8—434no—
1833C22⋊Q8—434no—
1834C22⋊Q8—434no—
1835C22⋊Q8—434no—
1836C22⋊Q8—434no—
1837C22⋊Q8—434no—
1838C22⋊Q8—434no—
1839C22⋊Q8C22×D4311yescharacteristic
1840C22⋊Q8C22×D4311yescharacteristic
1841C22⋊Q8C22×D4314yes—
1842C22⋊Q8C22×D4314yes—
1843#121—432no—
1844#121—432no—
1845#121—432no—
1846#121—432no—
1847#121—434no—
1848#121—432no—
1849#121—432no—
1850#121—434no—
1851#121—434no—
1852#121—434no—
1853#121—434no—
1854#121—434no—
1855#121—431no—
1856#121—431no—
1857#121C22×D4312yes—
1858#121C22×D4312yes—
1859#121C22×D4312yes—
1860#121C22×D4312yes—
1861#121C22×D4311yescharacteristic
1862#121C22×D4311yescharacteristic
1863#121C22×D4312yes—
1864#121C22×D4312yes—
1865#121C22×D4314yes—
1866#121C22×D4314yes—
1867#121C22×D4314yes—
1868#120—432no—
1869#120—434no—
1870#120C22×D4312yes—
1871#120C22×D4314yes—
1872C4×Q8—431no—
1873C4×Q8—431no—
1874C4×Q8—434no—
1875C4×Q8—432no—
1876C4×Q8—434no—
1877C4×Q8—432no—
1878C4×Q8—432no—
1879C4×Q8—432no—
1880C4×Q8—432no—
1881C4×Q8—432no—
1882C4×Q8—432no—
1883C4×Q8—431no—
1884C4×Q8—431no—
1885C4×Q8—432no—
1886C4×Q8—432no—
1887C4×Q8—432no—
1888C4×Q8—434no—
1889C4×Q8—434no—
1890C4×Q8—434no—
1891C4×Q8—432no—
1892C4×Q8—432no—
1893C4×Q8—434no—
1894C4×Q8—434no—
1895C4×Q8—432no—
1896C4×Q8—432no—
1897C4×Q8—432no—
1898C4×Q8—432no—
1899C4×Q8—432no—
1900C4×Q8—432no—
1901C4×Q8—432no—
1902C4×Q8—432no—
1903C4×Q8—432no—
1904C4×Q8—432no—
1905C4×Q8—432no—
1906C4×Q8—432no—
1907C4×Q8—432no—
1908C4×Q8—432no—
1909C4×Q8—432no—
1910C4×Q8—432no—
1911C4×Q8—432no—
1912C4×Q8—432no—
1913C4×Q8—434no—
1914C4×Q8—432no—
1915C4×Q8—432no—
1916C4×Q8—432no—
1917C4×Q8—434no—
1918C4×Q8—434no—
1919C4×Q8—432no—
1920C4×Q8—434no—
1921C4×Q8—432no—
1922C4×Q8C22×D4312yes—
1923C4×D4—434no—
1924C4×D4—434no—
1925C4×D4—434no—
1926C4×D4—434no—
1927C4×D4—432no—
1928C4×D4—432no—
1929C4×D4—432no—
1930C4×D4—432no—
1931C4×D4—432no—
1932C4×D4—432no—
1933C4×D4—432no—
1934C4×D4—432no—
1935C4×D4—431no—
1936C4×D4—431no—
1937C4×D4—432no—
1938C4×D4—432no—
1939C4×D4—432no—
1940C4×D4—432no—
1941C4×D4—434no—
1942C4×D4—434no—
1943C4×D4—434no—
1944C4×D4—434no—
1945C4×D4—434no—
1946C4×D4—434no—
1947C4×D4—432no—
1948C4×D4—432no—
1949C4×D4—432no—
1950C4×D4—432no—
1951C4×D4—432no—
1952C4×D4—434no—
1953C4×D4—434no—
1954C4×D4—434no—
1955C4×D4—434no—
1956C4×D4—434no—
1957C4×D4—431no—
1958C4×D4—431no—
1959C4×D4—432no—
1960C4×D4—432no—
1961C4×D4—432no—
1962C4×D4—432no—
1963C4×D4—432no—
1964C4×D4—432no—
1965C4×D4—432no—
1966C4×D4—434no—
1967C4×D4—434no—
1968C4×D4—434no—
1969C4×D4—432no—
1970C4×D4C22×D4312yes—
1971C4×D4C22×D4312yes—
1972C4×D4C22×D4312yes—
1973C4×D4C22×D4312yes—
1974C4×D4C22×D4312yes—
1975C4×D4C22×D4312yes—
1976C4×D4C22×D4314yes—
1977C4×D4C22×D4314yes—
1978C4×D4C22×D4314yes—
1979C4×D4C22×D4312yes—
1980#117—431no—
1981#117—431no—
1982#117—432no—
1983#117—432no—
1984#117—431no—
1985#117—431no—
1986#117—431no—
1987#117—432no—
1988#117—434no—
1989#117—434no—
1990#117—434no—
1991#117—434no—
1992#117—432no—
1993#117—432no—
1994#117—432no—
1995#117—432no—
1996#117—432no—
1997#117—434no—
1998#117—434no—
1999#117—434no—
2000#117—434no—
2001#117—432no—
2002#117—432no—
2003#117—432no—
2004#117—432no—
2005#117—434no—
2006#117—434no—
2007#117—434no—
2008#117—434no—
2009#117—434no—
2010#117—434no—
2011#117—434no—
2012#117—434no—
2013#117—432no—
2014#117—434no—
2015#117—434no—
2016#117C22×D4311yescharacteristic
2017#117C22×D4311yescharacteristic
2018#117C22×D4312yes—
2019#117C22×D4312yes—
2020#117C22×D4311yescharacteristic
2021#117C22×D4311yescharacteristic
2022#117C22×D4311yescharacteristic
2023#117C22×D4314yes—
2024#117C22×D4312yes—
2025C2×C4⋊C4—432no—
2026C2×C4⋊C4—432no—
2027C2×C4⋊C4—431no—
2028C2×C4⋊C4—431no—
2029C2×C4⋊C4—431no—
2030C2×C4⋊C4—432no—
2031C2×C4⋊C4—432no—
2032C2×C4⋊C4—432no—
2033C2×C4⋊C4—432no—
2034C2×C4⋊C4—432no—
2035C2×C4⋊C4—432no—
2036C2×C4⋊C4—432no—
2037C2×C4⋊C4—432no—
2038C2×C4⋊C4—434no—
2039C2×C4⋊C4—434no—
2040C2×C4⋊C4—434no—
2041C2×C4⋊C4—434no—
2042C2×C4⋊C4—434no—
2043C2×C4⋊C4—432no—
2044C2×C4⋊C4—434no—
2045C2×C4⋊C4—434no—
2046C2×C4⋊C4—432no—
2047C2×C4⋊C4—432no—
2048C2×C4⋊C4C22×D4311yescharacteristic
2049C2×C4⋊C4C22×D4311yescharacteristic
2050C2×C4⋊C4C22×D4311yescharacteristic
2051C2×C4⋊C4C22×D4312yes—
2052C2×C22⋊C4—432no—
2053C2×C22⋊C4—432no—
2054C2×C22⋊C4—432no—
2055C2×C22⋊C4—432no—
2056C2×C22⋊C4—432no—
2057C2×C22⋊C4—434no—
2058C2×C22⋊C4C22×D4312yes—
2059C2×C22⋊C4C22×D4312yes—
2060C2×C22⋊C4C22×D4314yes—
2061C2×C42—431no—
2062C2×C42—432no—
2063C2×C42—432no—
2064C2×C42—431no—
2065C2×C42—431no—
2066C2×C42—431no—
2067C2×C42—432no—
2068C2×C42—431no—
2069C2×C42—431no—
2070C2×C42—431no—
2071C2×C42—431no—
2072C2×C42—431no—
2073C2×C42—431no—
2074C2×C42—431no—
2075C2×C42—431no—
2076C2×C42—432no—
2077C2×C42C22×D4312yes—
2078C24C23×D4311yescharacteristic
2079C24C23×D4312yes—
2080#41—24no—
2081#41—48no—
2082#41—864no—
2083#41—1724no—
2084#41—1728no—
2085#41—1728no—
2086#41—1724no—
2087C2×Q8—432no—
2088C2×Q8—432no—
2089C2×Q8—431no—
2090C2×Q8—432no—
2091C2×Q8—432no—
2092C2×Q8—432no—
2093C2×Q8—432no—
2094C2×Q8—434no—
2095C2×Q8—434no—
2096C2×Q8—432no—
2097C2×Q8—432no—
2098C2×Q8—432no—
2099C2×Q8—432no—
2100C2×Q8—432no—
2101C2×Q8—434no—
2102C2×Q8—432no—
2103C2×Q8—864no—
2104C2×Q8—1724no—
2105C2×Q8—1724no—
2106C2×Q8—1728no—
2107C2×Q8C23×D4311yescharacteristic
2108C2×Q8C23×D4314yes—
2109C2×D4—24no—
2110C2×D4—44no—
2111C2×D4—432no—
2112C2×D4—432no—
2113C2×D4—432no—
2114C2×D4—432no—
2115C2×D4—434no—
2116C2×D4—434no—
2117C2×D4—432no—
2118C2×D4—431no—
2119C2×D4C23×D4312yes—
2120C2×D4C23×D4312yes—
2121C2×D4C23×D4312yes—
2122C2×D4C23×D4311yescharacteristic
2123C2×D4C23×D4312yes—
2124C2×D4C23×D4314yes—
2125C2×D4C23×D4314yes—
2126C2×D4C23×D4314yes—
2127C2×D4C23×D4312yes—
2128C2×D4C23×D4314yes—
2129C22×C4—24no—
2130C22×C4—431no—
2131C22×C4—431no—
2132C22×C4—431no—
2133C22×C4—431no—
2134C22×C4—431no—
2135C22×C4—432no—
2136C22×C4—432no—
2137C22×C4—434no—
2138C22×C4—431no—
2139C22×C4—431no—
2140C22×C4—431no—
2141C22×C4—431no—
2142C22×C4—431no—
2143C22×C4—431no—
2144C22×C4—431no—
2145C22×C4—432no—
2146C22×C4—432no—
2147C22×C4—432no—
2148C22×C4—432no—
2149C22×C4—434no—
2150C22×C4—434no—
2151C22×C4—434no—
2152C22×C4—434no—
2153C22×C4—432no—
2154C22×C4—432no—
2155C22×C4—432no—
2156C22×C4—434no—
2157C22×C4—434no—
2158C22×C4—1722no—
2159C22×C4—1724no—
2160C22×C4—1722no—
2161C22×C4C23×D4311yescharacteristic
2162C22×C4C23×D4311yescharacteristic
2163C22×C4C23×D4311yescharacteristic
2164C22×C4C23×D4311yescharacteristic
2165C22×C4C23×D4311yescharacteristic
2166C22×C4C23×D4312yes—
2167C22×C4C23×D4312yes—
2168C22×C4C23×D4312yes—
2169C22×C4C23×D4312yes—
2170C22×C4C23×D4314yes—
2171C22×C4C23×D4314yes—
2172C22×C4C23×D4314yes—
2173C22×C4C23×D4311yescharacteristic
2174C4⋊C4—431no—
2175C4⋊C4—432no—
2176C4⋊C4—431no—
2177C4⋊C4—432no—
2178C4⋊C4—432no—
2179C4⋊C4—434no—
2180C4⋊C4—432no—
2181C4⋊C4—432no—
2182C4⋊C4—432no—
2183C4⋊C4—432no—
2184C4⋊C4—434no—
2185C4⋊C4—432no—
2186C4⋊C4—432no—
2187C4⋊C4—432no—
2188C4⋊C4—432no—
2189C4⋊C4—434no—
2190C4⋊C4—434no—
2191C4⋊C4—434no—
2192C4⋊C4—434no—
2193C4⋊C4—431no—
2194C4⋊C4—431no—
2195C4⋊C4—434no—
2196C4⋊C4—432no—
2197C4⋊C4—432no—
2198C4⋊C4—432no—
2199C4⋊C4—434no—
2200C4⋊C4—434no—
2201C4⋊C4—432no—
2202C4⋊C4—432no—
2203C4⋊C4—432no—
2204C4⋊C4—432no—
2205C4⋊C4—432no—
2206C4⋊C4—432no—
2207C4⋊C4—432no—
2208C4⋊C4—434no—
2209C4⋊C4—434no—
2210C4⋊C4—434no—
2211C4⋊C4—434no—
2212C4⋊C4—434no—
2213C4⋊C4—434no—
2214C4⋊C4—434no—
2215C4⋊C4—434no—
2216C4⋊C4—432no—
2217C4⋊C4—432no—
2218C4⋊C4—432no—
2219C4⋊C4—432no—
2220C4⋊C4—432no—
2221C4⋊C4—432no—
2222C4⋊C4—432no—
2223C4⋊C4—432no—
2224C4⋊C4—432no—
2225C4⋊C4—432no—
2226C4⋊C4—434no—
2227C4⋊C4—434no—
2228C4⋊C4—432no—
2229C4⋊C4—432no—
2230C4⋊C4—434no—
2231C4⋊C4—434no—
2232C4⋊C4—431no—
2233C4⋊C4—431no—
2234C4⋊C4—432no—
2235C4⋊C4—432no—
2236C4⋊C4—432no—
2237C4⋊C4—432no—
2238C4⋊C4—432no—
2239C4⋊C4—432no—
2240C4⋊C4—432no—
2241C4⋊C4—432no—
2242C4⋊C4—432no—
2243C4⋊C4—434no—
2244C4⋊C4—434no—
2245C4⋊C4—434no—
2246C4⋊C4—434no—
2247C4⋊C4—434no—
2248C4⋊C4—434no—
2249C4⋊C4—434no—
2250C4⋊C4C23×D4311yescharacteristic
2251C4⋊C4C23×D4312yes—
2252C4⋊C4C23×D4314yes—
2253C4⋊C4C23×D4314yes—
2254C4⋊C4C23×D4311yescharacteristic
2255C4⋊C4C23×D4311yescharacteristic
2256C4⋊C4C23×D4311yescharacteristic
2257C4⋊C4C23×D4312yes—
2258C4⋊C4C23×D4312yes—
2259C4⋊C4C23×D4312yes—
2260C4⋊C4C23×D4314yes—
2261C4⋊C4C23×D4312yes—
2262C4⋊C4C23×D4312yes—
2263C4⋊C4C23×D4311yescharacteristic
2264C4⋊C4C23×D4311yescharacteristic
2265C4⋊C4C23×D4314yes—
2266C22⋊C4—432no—
2267C22⋊C4—432no—
2268C22⋊C4—432no—
2269C22⋊C4—434no—
2270C22⋊C4—434no—
2271C22⋊C4—434no—
2272C22⋊C4—432no—
2273C22⋊C4—432no—
2274C22⋊C4—434no—
2275C22⋊C4—434no—
2276C22⋊C4—434no—
2277C22⋊C4—434no—
2278C22⋊C4—434no—
2279C22⋊C4—434no—
2280C22⋊C4—434no—
2281C22⋊C4—432no—
2282C22⋊C4—432no—
2283C22⋊C4—434no—
2284C22⋊C4—434no—
2285C22⋊C4—432no—
2286C22⋊C4—434no—
2287C22⋊C4—432no—
2288C22⋊C4—432no—
2289C22⋊C4—432no—
2290C22⋊C4—434no—
2291C22⋊C4—434no—
2292C22⋊C4—432no—
2293C22⋊C4—432no—
2294C22⋊C4—434no—
2295C22⋊C4—434no—
2296C22⋊C4—432no—
2297C22⋊C4—432no—
2298C22⋊C4—432no—
2299C22⋊C4—432no—
2300C22⋊C4—434no—
2301C22⋊C4—434no—
2302C22⋊C4C23×D4312yes—
2303C22⋊C4C23×D4312yes—
2304C22⋊C4C23×D4314yes—
2305C22⋊C4C23×D4312yes—
2306C22⋊C4C23×D4314yes—
2307C22⋊C4C23×D4312yes—
2308C22⋊C4C23×D4312yes—
2309C22⋊C4C23×D4314yes—
2310C22⋊C4C23×D4314yes—
2311C22⋊C4C23×D4312yes—
2312C22⋊C4C23×D4312yes—
2313C22⋊C4C23×D4314yes—
2314C22⋊C4C23×D4314yes—
2315C22⋊C4C23×D4312yes—
2316C22⋊C4C23×D4312yes—
2317C22⋊C4C23×D4314yes—
2318C42—431no—
2319C42—431no—
2320C42—431no—
2321C42—431no—
2322C42—431no—
2323C42—431no—
2324C42—431no—
2325C42—431no—
2326C42—431no—
2327C42—431no—
2328C42—431no—
2329C42—431no—
2330C42—431no—
2331C42—431no—
2332C42—431no—
2333C42—431no—
2334C42—434no—
2335C42—432no—
2336C42—432no—
2337C42—432no—
2338C42—432no—
2339C42—432no—
2340C42—432no—
2341C42—432no—
2342C42—434no—
2343C42—432no—
2344C42—432no—
2345C42—434no—
2346C42—434no—
2347C42—434no—
2348C42—434no—
2349C42—434no—
2350C42—434no—
2351C42—434no—
2352C42C23×D4312yes—
2353C42C23×D4312yes—
2354C42C23×D4312yes—
2355C42C23×D4312yes—
2356C42C23×D4312yes—
2357C42C23×D4314yes—
2358C23—22no—
2359C23—22no—
2360C23—24no—
2361C23—41no—
2362C23—42no—
2363C23—42no—
2364C23—432no—
2365C23C24×D4311yescharacteristic
2366C23C24×D4314yes—
2367C23C24×D4312yes—
2368C23C24×D4311yescharacteristic
2369C23C24×D4311yescharacteristic
2370Q8—22no—
2371Q8—44no—
2372Q8—864no—
2373Q8—864no—
2374Q8—864no—
2375Q8—864no—
2376Q8—864no—
2377Q8—862no—
2378Q8—1724no—
2379Q8—1722no—
2380Q8—1724no—
2381Q8—1722no—
2382Q8—1722no—
2383Q8—1722no—
2384Q8—1722no—
2385Q8—1722no—
2386Q8—1724no—
2387Q8—1722no—
2388D4—24no—
2389D4—28no—
2390D4—24no—
2391D4—24no—
2392D4—24no—
2393D4—22no—
2394D4—44no—
2395D4—44no—
2396D4—42no—
2397D4—44no—
2398D4—864no—
2399D4—864no—
2400D4—864no—
2401D4—862no—
2402D4—1724no—
2403D4—1722no—
2404D4—1722no—
2405D4—1724no—
2406C2×C4—22no—
2407C2×C4—24no—
2408C2×C4—22no—
2409C2×C4—22no—
2410C2×C4—22no—
2411C2×C4—22no—
2412C2×C4—24no—
2413C2×C4—42no—
2414C2×C4—44no—
2415C2×C4—42no—
2416C2×C4—44no—
2417C2×C4—44no—
2418C2×C4—431no—
2419C2×C4—431no—
2420C2×C4—431no—
2421C2×C4—431no—
2422C2×C4—434no—
2423C2×C4—432no—
2424C2×C4—432no—
2425C2×C4—431no—
2426C2×C4—432no—
2427C2×C4—431no—
2428C2×C4—431no—
2429C2×C4—432no—
2430C2×C4—432no—
2431C2×C4—432no—
2432C2×C4—431no—
2433C2×C4—434no—
2434C2×C4—432no—
2435C2×C4—862no—
2436C2×C4—862no—
2437C2×C4—868no—
2438C2×C4—862no—
2439C2×C4—864no—
2440C2×C4—862no—
2441C2×C4—862no—
2442C2×C4—864no—
2443C2×C4—864no—
2444C2×C4—1722no—
2445C2×C4—1724no—
2446C2×C4—1724no—
2447C2×C4—1722no—
2448C2×C4—1721no—
2449C2×C4—1724no—
2450C2×C4—1721no—
2451C2×C4—1721no—
2452C2×C4—1722no—
2453C2×C4—1721no—
2454C2×C4—1721no—
2455C2×C4—1721no—
2456C2×C4—1721no—
2457C2×C4—1722no—
2458C2×C4—1724no—
2459C2×C4—1722no—
2460C2×C4—1724no—
2461C2×C4—1722no—
2462C2×C4—1724no—
2463C2×C4#1306337214yes—
2464C2×C4C24×D4311yescharacteristic
2465C2×C4C24×D4312yes—
2466C2×C4C24×D4312yes—
2467C2×C4C24×D4311yescharacteristic
2468C2×C4C24×D4312yes—
2469C2×C4C24×D4312yes—
2470C2×C4C24×D4314yes—
2471C2×C4C24×D4312yes—
2472C2×C4C24×D4312yes—
2473C2×C4C24×D4312yes—
2474C2×C4C24×D4311yescharacteristic
2475C2×C4C24×D4311yescharacteristic
2476C22—21no—
2477C22—21no—
2478C22—21no—
2479C22—21no—
2480C22—21no—
2481C22—22no—
2482C22—24no—
2483C22—24no—
2484C22—21no—
2485C22—22no—
2486C22—22no—
2487C22—24no—
2488C22—21no—
2489C22—44no—
2490C22—84no—
2491C22—862no—
2492C22—862no—
2493C22—862no—
2494C22C2×#1306337212yes—
2495C22#1458373412yes—
2496C22C25×D4311yescharacteristic
2497C4—21no—
2498C4—21no—
2499C4—22no—
2500C4—22no—
2501C4—22no—
2502C4—22no—
2503C4—22no—
2504C4—22no—
2505C4—24no—
2506C4—22no—
2507C4—432no—
2508C4—862no—
2509C4—864no—
2510C4—861no—
2511C4—861no—
2512C4—864no—
2513C4—861no—
2514C4—862no—
2515C4—862no—
2516C4—862no—
2517C4—861no—
2518C4—862no—
2519C4—861no—
2520C4—861no—
2521C4—861no—
2522C4—862no—
2523C4—862no—
2524C4C2×#1306337212yes—
2525C4C2×#1306337212yes—
2526C2—22no—
2527C2—22no—
2528C2—41no—
2529C2—44no—
2530C2—42no—
2531C2—1722no—
2532C2C22×#1306337211yescharacteristic
2533C2#585×D4311yescharacteristic
2534C2C2×#1458373411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3494C2
hypercenter#3494D43
hypocenterC43#62831
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3494

Complements

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

NH ≅ G/Ntype
1. #19149245C2semidirect
2. #19149241C2semidirect
3. #19149207C2semidirect
4. #19149100C2semidirect
5. #19149094C2semidirect
6. #19149081C2semidirect
7. #19149056C2semidirect
8. #19149034C2semidirect
9. #19148931C2semidirect
10. #19148792C2semidirect
11. #19148689C2semidirect
12. #19148672C2semidirect
13. #19148631C2semidirect
14. #19148611C2semidirect
15. #19148566C2semidirect
16. #19148566C2semidirect
17. #19148564C2semidirect
18. #19148490C2semidirect
19. #19148486C2semidirect
20. #19148457C2semidirect
21. #19148453C2semidirect
22. #19148451C2semidirect
23. #19148446C2semidirect
24. #19148418C2semidirect
25. #19148417C2semidirect
26. #19148403C2semidirect
27. #19148393C2semidirect
28. #19148349C2semidirect
29. #19148347C2semidirect
30. #19148334C2semidirect
31. #19148324C2semidirect
32. #19147887C2semidirect
33. C2×#14583452C2semidirect
34. C2×#14583430C2semidirect
35. C43×#3494C2semidirect
36. #14583652C22semidirect
37. #14583652C22semidirect
38. #14583652C22semidirect
39. #14583651C22semidirect
40. #14583650C22semidirect
41. #14583649C22semidirect
42. #14583644C22semidirect
43. #14583644C22semidirect
44. #14583635C22semidirect
45. #14583635C22semidirect
46. #14583635C22semidirect
47. #14583632C22semidirect
48. #14583632C22semidirect
49. #14583632C22semidirect
50. #14583631C22semidirect
51. #14583629C22semidirect
52. #14583629C22semidirect
53. #14583628C22semidirect
54. #14583627C22semidirect
55. #14583626C22semidirect
56. #14583626C22semidirect
57. #14583626C22semidirect
58. #14583626C22semidirect
59. #14583626C22semidirect
60. #14583625C22semidirect
61. #14583624C22semidirect
62. #14583624C22semidirect
63. #14583624C22semidirect
64. #14583621C22semidirect
65. #14583619C22semidirect
66. #14583619C22semidirect
67. #14583619C22semidirect
68. #14583619C22semidirect
69. #14583618C22semidirect
70. #14583618C22semidirect
71. #14583618C22semidirect
72. #14583618C22semidirect
73. #14583618C22semidirect
74. #14583618C22semidirect
75. #14583617C22semidirect
76. #14583617C22semidirect
77. #14583617C22semidirect
78. #14583616C22semidirect
80. #14583613C22semidirect
81. #14583610C22semidirect
83. #14583608C22semidirect
84. #14583608C22semidirect
85. #14583608C22semidirect
86. #14583608C22semidirect
87. #14583608C22semidirect
90. #14583606C22semidirect
91. #14583606C22semidirect
92. #14583606C22semidirect
93. #14583606C22semidirect
94. #14583605C22semidirect
95. #14583604C22semidirect
96. #14583604C22semidirect
99. #14583601C22semidirect
101. #14583596C22semidirect
102. #14583591C22semidirect
103. #14583589C22semidirect
104. #14583589C22semidirect
105. #14583589C22semidirect
106. #14583589C22semidirect
107. #14583589C22semidirect
108. #14583588C22semidirect
109. #14583588C22semidirect
111. #14583586C22semidirect
112. #14583586C22semidirect
113. #14583586C22semidirect
114. #14583586C22semidirect
115. #14583586C22semidirect
116. #14583585C22semidirect
117. #14583585C22semidirect
118. #14583584C22semidirect
119. #14583584C22semidirect
121. #14583582C22semidirect
129. #14583569C22semidirect
130. D4×Dic86C22semidirect
131. D4×Dic86C22semidirect
132. D4×Dic86C22semidirect
133. #14583555C22semidirect
134. #14583555C22semidirect
136. #14583549C22semidirect
137. #14583549C22semidirect
138. #14583549C22semidirect
139. #14583548C22semidirect
140. #14583548C22semidirect
143. #14583530C22semidirect
144. #14583529C22semidirect
146. #14583528C22semidirect
149. #14583527C22semidirect
150. #14583526C22semidirect
152. #14583520C22semidirect
153. #14583518C22semidirect
154. #14583517C22semidirect
156. #14583516C22semidirect
157. #14583516C22semidirect
158. #14583516C22semidirect
159. #14583516C22semidirect
160. #14583516C22semidirect
161. #14583514C22semidirect
162. #14583514C22semidirect
163. #14583514C22semidirect
164. #14583513C22semidirect
165. #14583513C22semidirect
166. #14583513C22semidirect
167. #14583511C22semidirect
168. #14583511C22semidirect
169. #14583509C22semidirect
170. #14583509C22semidirect
171. #14583506C22semidirect
172. #14583506C22semidirect
173. #14583506C22semidirect
174. #14583506C22semidirect
176. #14583494C22semidirect
177. #14583494C22semidirect
178. #14583494C22semidirect
179. #14583494C22semidirect
180. #14583493C22semidirect
181. #14583493C22semidirect
182. #14583493C22semidirect
183. #14583492C22semidirect
184. #14583492C22semidirect
186. #14583491C22semidirect
189. #14583471C22semidirect
190. #14583471C22semidirect
192. #14583470C22semidirect
194. #14583456C22semidirect
195. #14583454C22semidirect
203. #14583452C22semidirect
204. #14583452C22semidirect
205. #14583452C22semidirect
206. #14583452C22semidirect
207. #14583452C22semidirect
208. #14583452C22semidirect
209. #14583452C22semidirect
211. #14583451C22semidirect
212. #14583451C22semidirect
213. #14583451C22semidirect
216. #14583444C22semidirect
217. #14583444C22semidirect
218. C2×#13063324C22semidirect
219. C2×#13063324C22semidirect
220. #14583435C22semidirect
221. #14583435C22semidirect
222. #14583433C22semidirect
223. #14583431C22semidirect
224. #14583431C22semidirect
234. #14583430C22semidirect
235. #14583430C22semidirect
236. #14583430C22semidirect
237. #14583430C22semidirect
238. #14583430C22semidirect
240. #14583429C22semidirect
241. #14583429C22semidirect
246. C2×#13063316C22semidirect
247. C2×#13063316C22semidirect
248. C2×#13063316C22semidirect
249. #125×D43C22semidirect
261. #14583382C22semidirect
264. #14583378C22semidirect
265. #14583378C22semidirect
268. #14583376C22semidirect
272. C4×#10621900C22semidirect
273. C4×#10621900C22semidirect
274. C2×C4×Dic86C22semidirect
275. C2×C4×Dic86C22semidirect
1290. #3494D43semidirect
1566. C43#62831semidirect

Maximal subgroups

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

subgroupindex
#191492452
#191492412
#191492072
#191491002
#191490942
#191490812
#191490562
#191490342
#191489312
#191487922
#191486892
#191486722
#191486312
#191486112
#191485662
#191485642
#191484902
#191484862
#191484572
#191484532
#191484512
#191484462
#191484182
#191484172
#191484032
#191483932
#191483492
#191483472
#191483342
#191483242
#191478872
C2×#145834522
C2×#145834302
C43×#34942
#6283143