Finite Group Databasebeta

← #26005366

Subgroups — #26005366

Order 11008.

6626 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149271C214yesmaximal, complemented
2#19149263C214yesmaximal, complemented
3#19149232C212yesmaximal, complemented
4#19149175C212yesmaximal, complemented
5#19149077C211yesmaximal, characteristic, complemented
6#19149060C211yesmaximal, characteristic, complemented
7#19148978C211yesmaximal, characteristic, complemented
8#19148961C211yesmaximal, characteristic, complemented
9#19148903C212yesmaximal, complemented
10#19148880C212yesmaximal, complemented
11#19148759C214yesmaximal, complemented
12#19148704C212yesmaximal, complemented
13#19148704C212yesmaximal, complemented
14#19148683C211yesmaximal, characteristic, complemented
15#19148672C211yesmaximal, characteristic, complemented
16#19148663C212yesmaximal, complemented
17#19148663C214yesmaximal, complemented
18#19148663C212yesmaximal, complemented
19#19148639C211yesmaximal, characteristic, complemented
20#19148622C211yesmaximal, characteristic, complemented
21#19148604C211yesmaximal, characteristic, complemented
22#19148593C211yesmaximal, characteristic, complemented
23#19148568C211yesmaximal, characteristic, complemented
24#19148561C212yesmaximal, complemented
25#19148551C211yesmaximal, characteristic, complemented
26#19148544C212yesmaximal, complemented
27#19148510C212yesmaximal, complemented
28#19148484C212yesmaximal, complemented
29#19148438C212yesmaximal, complemented
30#19148423C212yesmaximal, complemented
31#19148335C212yesmaximal, complemented
32#19148318C212yesmaximal, complemented
33#19147891C211yesmaximal, characteristic, complemented
34C2×#14583433C211yesmaximal, characteristic, complemented
35C43×#3444C211yesmaximal, characteristic, complemented
36#14583652C2214yescomplemented
37#14583650C2214yescomplemented
38#14583646C2214yescomplemented
39#14583646C2214yescomplemented
40#14583645C2214yescomplemented
41#14583644C2214yescomplemented
42#14583639C2214yescomplemented
43#14583637C2214yescomplemented
44#14583635C2211yescharacteristic, complemented
45#14583633C2214yescomplemented
46#14583632C2212yescomplemented
47#14583632C2212yescomplemented
48#14583632C2214yescomplemented
49#14583632C2214yescomplemented
50#14583629C2211yescharacteristic, complemented
51#14583625C2212yescomplemented
52#14583625C2212yescomplemented
53#14583624C2211yescharacteristic, complemented
54#14583624C2211yescharacteristic, complemented
55#14583623C2211yescharacteristic, complemented
56#14583623C2211yescharacteristic, complemented
57#14583621C2212yescomplemented
58#14583621C2214yescomplemented
59#14583621C2212yescomplemented
60#14583620C2212yescomplemented
61#14583617C2212yescomplemented
62#14583617C2212yescomplemented
63#14583617C2214yescomplemented
64#14583616C2214yescomplemented
65#14583615C2211yescharacteristic, complemented
66#14583613C2212yescomplemented
67#14583612C2214yescomplemented
68#14583612C2214yescomplemented
69#14583612C2212yescomplemented
70#14583612C2212yescomplemented
71#14583610C2211yescharacteristic, complemented
72#14583610C2211yescharacteristic, complemented
73#14583608C2212yescomplemented
74#14583608C2214yescomplemented
75#14583608C2212yescomplemented
76#14583607C2212yescomplemented
77#14583601C2212yes—
78#14583600C2214yescomplemented
79#14583599C2212yescomplemented
80#14583599C2212yescomplemented
81#14583599C2214yescomplemented
82#14583599C2214yescomplemented
83#14583598C2214yescomplemented
84#14583598C2214yescomplemented
85#14583598C2214yescomplemented
86#14583598C2214yescomplemented
87#14583596C2212yescomplemented
88#14583594C2214yescomplemented
89#14583594C2214yescomplemented
90#14583593C2212yes—
91#14583593C2214yescomplemented
92#14583593C2212yescomplemented
93#14583591C2212yescomplemented
94#14583590C2212yescomplemented
95#14583590C2214yescomplemented
96#14583590C2212yescomplemented
97#14583588C2214yescomplemented
98#14583588C2212yescomplemented
99#14583588C2212yescomplemented
100#14583588C2214yescomplemented
101#14583586C2214yescomplemented
102#14583585C2214yescomplemented
103#14583583C2212yescomplemented
104#14583582C2214yescomplemented
105#14583582C2214yescomplemented
106#14583582C2214yescomplemented
107#14583582C2214yescomplemented
108#14583578C2214yescomplemented
109#14583578C2214yescomplemented
110#14583578C2214yescomplemented
111#14583578C2214yescomplemented
112#14583577C2214yescomplemented
113#14583574C2214yescomplemented
114#14583573C2214yescomplemented
115#14583573C2214yescomplemented
116#14583573C2214yescomplemented
117#14583573C2214yescomplemented
118#14583572C2214yescomplemented
119#14583569C2211yescharacteristic, complemented
120#14583569C2211yescharacteristic, complemented
121#14583568C2212yescomplemented
122#14583568C2212yescomplemented
123#14583567C2212yescomplemented
124#14583564C2211yescharacteristic, complemented
125#14583564C2211yescharacteristic, complemented
126#14583562C2212yescomplemented
127#14583561C2212yescomplemented
128#14583561C2212yescomplemented
129#14583559C2212yescomplemented
130#14583556C2212yescomplemented
131#14583556C2212yescomplemented
132#14583555C2212yescomplemented
133#14583552C2211yescharacteristic, complemented
134#14583552C2211yescharacteristic, complemented
135#14583551C2212yescomplemented
136#14583549C2212yescomplemented
137#14583548C2212yescomplemented
138#14583548C2212yescomplemented
139#14583548C2214yescomplemented
140#14583547C2214yescomplemented
141#14583546C2212yescomplemented
142#14583544C2212yescomplemented
143#14583544C2214yescomplemented
144#14583544C2212yescomplemented
145#14583541C2214yescomplemented
146#14583540C2212yes—
147#14583537C2212yes—
148#14583537C2214yes—
149#14583537C2212yescomplemented
150#14583534C2211yescharacteristic, complemented
151#14583533C2212yes—
152#14583529C2212yescomplemented
153#14583529C2212yescomplemented
154#14583522C2212yes—
155#14583521C2212yescomplemented
156#14583521C2212yescomplemented
157#14583521C2214yescomplemented
158#14583519C2214yescomplemented
159#14583518C2212yescomplemented
160#14583518C2212yescomplemented
161#14583516C2212yescomplemented
162#14583515C2214yescomplemented
163#14583514C2212yescomplemented
164#14583514C2214yescomplemented
165#14583514C2212yescomplemented
166#14583514C2214yescomplemented
167#14583513C2214yescomplemented
168#14583512C2212yescomplemented
169#14583509C2212yescomplemented
170#14583508C2214yescomplemented
171#14583507C2214yescomplemented
172#14583507C2212yescomplemented
173#14583507C2212yescomplemented
174#14583506C2214yescomplemented
175#14583505C2212yescomplemented
176#14583502C2212yescomplemented
177#14583500C2212yescomplemented
178#14583500C2212yescomplemented
179#14583500C2214yescomplemented
180#14583500C2214yescomplemented
181#14583499C2214yescomplemented
182#14583497C2214yescomplemented
183#14583495C2214yescomplemented
184#14583491C2214yescomplemented
185#14583491C2214yescomplemented
186#14583491C2214yescomplemented
187#14583491C2214yescomplemented
188#14583490C2214yescomplemented
189#14583488C2214yescomplemented
190#14583484C2214yescomplemented
191#14583484C2214yescomplemented
192#14583483C2214yescomplemented
193#14583482C2214yescomplemented
194#14583482C2214yescomplemented
195#14583482C2214yescomplemented
196#14583482C2214yescomplemented
197#14583481C2214yescomplemented
198#14583479C2212yescomplemented
199#14583478C2212yescomplemented
200#14583472C2212yescomplemented
201#14583469C2212yescomplemented
202#14583467C2212yescomplemented
203#14583465C2212yes—
204#14583464C2214yescomplemented
205#14583459C2214yescomplemented
206#14583456C2211yescharacteristic, complemented
207#14583456C2211yescharacteristic, complemented
208#14583456C2211yescharacteristic, complemented
209#14583455C2212yescomplemented
210#14583451C2212yescomplemented
211#14583449C2211yescharacteristic
212#14583449C2211yescharacteristic, complemented
213#14583449C2211yescharacteristic, complemented
214#14583448C2212yescomplemented
215#14583444C2212yescomplemented
216#14583435C2212yes—
217#14583434C2212yescomplemented
218#14583434C2212yescomplemented
219#14583433C2211yescharacteristic
220#14583433C2211yescharacteristic
221#14583433C2211yescharacteristic
222#14583433C2211yescharacteristic
223#14583433C2211yescharacteristic
224#14583433C2211yescharacteristic, complemented
225#14583433C2211yescharacteristic, complemented
226#14583433C2212yescomplemented
227#14583433C2212yescomplemented
228#14583433C2211yescharacteristic, complemented
229#14583433C2212yescomplemented
230#14583433C2212yescomplemented
231#14583433C2211yescharacteristic, complemented
232#14583433C2211yescharacteristic, complemented
233#14583433C2212yescomplemented
234#14583433C2211yescharacteristic, complemented
235#14583433C2212yescomplemented
236#14583433C2211yescharacteristic, complemented
237#14583433C2212yescomplemented
238#14583433C2212yescomplemented
239#14583433C2214yescomplemented
240#14583433C2214yescomplemented
241#14583433C2214yescomplemented
242#14583430C2212yescomplemented
243#14583428C2212yescomplemented
244#14583428C2212yescomplemented
245C2×#13063319C2212yescomplemented
246C2×#13063319C2214yescomplemented
247C2×#13063317C2211yescharacteristic, complemented
248#125×D43C2212yescomplemented
249C2×#13063313C2211yescharacteristic
250#124×D43C2212yescomplemented
251#14583412C2212yescomplemented
252#14583410C2211yescharacteristic
253#14583410C2212yescomplemented
254#14583410C2211yescharacteristic, complemented
255#14583410C2212yescomplemented
256#14583409C2212yes—
257C2×#13063308C2212yescomplemented
258C2×#13063304C2211yescharacteristic, complemented
259C22⋊Q8×D43C2212yescomplemented
260C2×#13063299C2211yescharacteristic
261#121×D43C2212yes—
262#14583381C2212yescomplemented
263#14583381C2212yescomplemented
264#14583378C2214yescomplemented
265#14583378C2212yescomplemented
266#14583378C2212yescomplemented
267#14583375C2212yescomplemented
268#14583375C2212yescomplemented
269#14583371C2214yescomplemented
270#14583371C2212yescomplemented
271#14583371C2212yescomplemented
272C4×#10621898C2212yescomplemented
273C4×#10621898C2211yescharacteristic, complemented
274C4×#10621898C2211yescharacteristic, complemented
275C4×#10621898C2212yescomplemented
276C2×C4×Dic86C2211yescharacteristic, complemented
277C2×C4×D172C2211yescharacteristic
278C2×C4×C22⋊D43C2212yescomplemented
279C2×#13063282C2212yescomplemented
280C43×#533C2211yescharacteristic, complemented
281C43×#533C2211yescharacteristic, complemented
282C43×#533C2211yescharacteristic, complemented
283C43×#532C2211yescharacteristic
284C43×#532C2211yescharacteristic, complemented
285C43×#532C2211yescharacteristic, complemented
286C43×#529C2212yescomplemented
287C43×#529C2212yescomplemented
288C43×#529C2212yescomplemented
289C43×#529C2212yescomplemented
290C43×#529C2212yescomplemented
291C43×#529C2212yescomplemented
292C43×#525C2212yescomplemented
293C43×#525C2212yescomplemented
294C43×#525C2212yescomplemented
295C4×#41×C43C2212yescomplemented
296C4×#41×C43C2212yescomplemented
297C4×#41×C43C2212yescomplemented
298C22×C42×C43C2211yescharacteristic, complemented
299C2×#10621902C2312yes—
300C2×#10621902C2312yes—
301C2×#10621898C2311yescharacteristic
302C2×#10621898C2311yescharacteristic
303C2×#10621898C2312yes—
304C2×#10621898C2312yes—
305C2×#10621900C2312yes—
306C2×#10621900C2312yes—
307C2×#10621900C2314yes—
308C22×Dic86C2311yescharacteristic
309C2×Q8×D43C2312yes—
310C2×Q8×D43C2312yes—
311C22×D172C2311yescharacteristic
312C22×C22⋊D43C2312yes—
313C2×D4×D43C2314yes—
314C2×D4×D43C2312yes—
315C2×D4×D43C2312yes—
316C22×C4×D43C2312yes—
317#13063325C2311yescharacteristic
318#13063325C2311yescharacteristic
319#13063325C2311yescharacteristic
320#13063324C2314yes—
321#13063324C2312yes—
322#13063324C2312yes—
323#13063324C2314yes—
324#13063324C2312yes—
325#13063324C2312yes—
326#13063324C2314yes—
327#13063323C2312yes—
328#13063323C2312yes—
329#13063323C2314yes—
330#13063322C2311yescharacteristic
331#13063321C2312yes—
332#13063321C2314yes—
333#13063321C2312yes—
334#13063321C2314yes—
335#13063320C2314yes—
336#13063320C2314yes—
337#13063320C2314yes—
338#13063320C2314yes—
339#13063320C2314yes—
340#13063320C2314yes—
341#13063320C2314yes—
342#13063320C2314yes—
343#13063319C2312yes—
344#13063319C2314yes—
345#13063319C2314yes—
346#13063319C2314yes—
347#13063319C2312yes—
348#13063319C2314yes—
349#13063319C2314yes—
350#13063319C2312yes—
351#13063319C2314yes—
352#13063319C2312yes—
353#13063319C2312yes—
354#13063319C2312yes—
355#13063319C2312yes—
356#13063319C2312yes—
357#13063319C2312yes—
358#13063319C2312yes—
359#13063319C2312yes—
360#13063319C2312yes—
361#13063318C2314yes—
362#13063318C2314yes—
363#13063318C2314yes—
364#13063318C2314yes—
365#13063318C2314yes—
366#13063318C2314yes—
367#13063318C2314yes—
368#13063318C2314yes—
369#13063318C2314yes—
370#13063318C2314yes—
371#13063317C2312yes—
372#13063317C2312yes—
373#13063317C2314yes—
374#13063317C2314yes—
375#13063317C2314yes—
376#13063317C2311yescharacteristic
377#13063317C2311yescharacteristic
378#13063317C2311yescharacteristic
379#13063317C2311yescharacteristic
380#13063317C2311yescharacteristic
381#13063317C2311yescharacteristic
382#13063317C2312yes—
383#13063317C2312yes—
384#13063316C2312yes—
385#13063316C2314yes—
386#13063316C2314yes—
387#13063316C2314yes—
388#13063316C2312yes—
389#13063316C2312yes—
390#13063316C2312yes—
391#13063315C2314yes—
392#13063315C2314yes—
393#13063315C2314yes—
394#13063315C2314yes—
395#13063315C2314yes—
396#13063315C2314yes—
397#13063315C2314yes—
398#13063315C2314yes—
399#13063314C2312yes—
400#13063314C2314yes—
401#13063314C2312yes—
402#13063313C2311yescharacteristic
403#13063313C2311yescharacteristic
404#13063313C2314yes—
405#13063313C2314yes—
406#13063313C2312yes—
407#13063313C2312yes—
408#13063313C2314yes—
409#13063313C2311yescharacteristic
410#13063313C2311yescharacteristic
411#13063313C2311yescharacteristic
412#13063313C2311yescharacteristic
413#13063313C2312yes—
414#13063313C2312yes—
415#13063312C2312yes—
416#13063312C2314yes—
417#13063312C2314yes—
418#13063312C2312yes—
419#13063311C2314yes—
420#13063311C2314yes—
421#13063311C2314yes—
422#13063311C2314yes—
423#13063311C2314yes—
424#13063311C2314yes—
425#13063311C2314yes—
426#13063311C2314yes—
427#13063311C2314yes—
428#13063311C2314yes—
429#13063310C2314yes—
430#13063310C2314yes—
431#13063310C2314yes—
432#13063310C2314yes—
433#13063310C2314yes—
434#13063310C2314yes—
435#13063310C2314yes—
436#13063310C2314yes—
437#13063309C2314yes—
438#13063309C2314yes—
439#13063309C2314yes—
440#13063309C2314yes—
441#13063308C2312yes—
442#13063308C2314yes—
443#13063308C2314yes—
444#13063308C2314yes—
445#13063308C2314yes—
446#13063308C2312yes—
447#13063308C2312yes—
448#13063308C2312yes—
449#13063308C2314yes—
450#13063308C2314yes—
451#13063308C2312yes—
452#13063308C2312yes—
453#13063308C2312yes—
454#13063308C2312yes—
455#13063308C2312yes—
456#13063308C2312yes—
457#13063308C2312yes—
458#13063308C2312yes—
459#13063308C2312yes—
460#13063308C2312yes—
461#13063307C2314yes—
462#13063307C2314yes—
463#13063307C2314yes—
464#13063307C2314yes—
465#13063307C2314yes—
466#13063307C2314yes—
467#13063307C2314yes—
468#13063307C2314yes—
469#13063307C2314yes—
470#13063307C2314yes—
471#13063306C2314yes—
472#13063306C2314yes—
473#13063306C2314yes—
474#13063306C2314yes—
475#13063305C2312yes—
476#13063305C2314yes—
477#13063305C2314yes—
478#13063305C2312yes—
479#13063305C2312yes—
480#13063305C2314yes—
481#13063305C2312yes—
482#13063304C2311yescharacteristic
483#13063304C2311yescharacteristic
484#13063304C2314yes—
485#13063304C2314yes—
486#13063304C2312yes—
487#13063304C2314yes—
488#13063304C2311yescharacteristic
489#13063304C2311yescharacteristic
490#13063304C2312yes—
491#13063304C2312yes—
492#13063304C2312yes—
493#13063304C2311yescharacteristic
494#13063304C2311yescharacteristic
495#13063304C2311yescharacteristic
496#13063304C2312yes—
497#13063304C2311yescharacteristic
498#13063304C2312yes—
499#13063303C2314yes—
500#13063303C2314yes—
501#13063303C2314yes—
502#13063303C2314yes—
503#13063303C2314yes—
504#13063303C2314yes—
505#13063303C2314yes—
506#13063303C2314yes—
507#13063302C2314yes—
508#13063302C2314yes—
509#13063302C2314yes—
510#13063302C2314yes—
511#13063302C2314yes—
512#13063302C2314yes—
513#13063302C2314yes—
514#13063302C2314yes—
515#13063301C2312yes—
516#13063301C2312yes—
517#13063301C2312yes—
518#13063301C2312yes—
519#13063301C2314yes—
520#13063301C2314yes—
521#13063300C2312yes—
522#13063300C2312yes—
523#13063300C2312yes—
524#13063300C2312yes—
525#13063300C2314yes—
526#13063300C2314yes—
527#13063300C2314yes—
528#13063299C2311yescharacteristic
529#13063299C2311yescharacteristic
530#13063299C2314yes—
531#13063299C2314yes—
532#13063299C2311yescharacteristic
533#13063299C2311yescharacteristic
534#13063299C2314yes—
535#13063299C2312yes—
536#13063299C2312yes—
537#13063299C2312yes—
538#13063299C2312yes—
539#13063299C2311yescharacteristic
540#13063299C2311yescharacteristic
541#13063299C2311yescharacteristic
542#13063299C2312yes—
543#13063299C2311yescharacteristic
544#13063299C2312yes—
545#13063298C2314yes—
546#13063298C2314yes—
547#13063298C2314yes—
548#13063298C2314yes—
549#13063298C2314yes—
550#13063298C2314yes—
551#13063298C2314yes—
552#13063298C2314yes—
553#13063298C2314yes—
554#13063298C2314yes—
555#13063297C2314yes—
556#13063297C2314yes—
557#13063297C2314yes—
558#13063297C2314yes—
559#13063297C2314yes—
560#13063297C2314yes—
561#13063297C2314yes—
562#13063297C2314yes—
563#13063296C2312yes—
564#13063296C2314yes—
565#13063296C2312yes—
566#13063296C2314yes—
567#13063296C2312yes—
568#13063296C2314yes—
569#13063296C2314yes—
570#13063296C2312yes—
571#13063295C2314yes—
572#13063295C2314yes—
573#13063295C2314yes—
574#13063295C2314yes—
575#13063294C2312yes—
576#13063294C2312yes—
577#13063293C2314yes—
578#13063293C2314yes—
579#13063293C2314yes—
580#13063293C2314yes—
581Q8×Dic43C2312yes—
582Q8×Dic43C2312yes—
583Q8×Dic43C2312yes—
584Q8×Dic43C2312yes—
585C4×Dic86C2311yescharacteristic
586C4×Dic86C2311yescharacteristic
587C4×Dic86C2311yescharacteristic
588C4×Dic86C2311yescharacteristic
589C4×Dic86C2312yes—
590C4×Dic86C2314yes—
591C4×Dic86C2314yes—
592C4×Dic86C2314yes—
593C4×Dic86C2312yes—
594C4×Dic86C2312yes—
595C4×Dic86C2312yes—
596C4×Dic86C2311yescharacteristic
597C4×Dic86C2311yescharacteristic
598C4×Dic86C2312yes—
599C4×Dic86C2311yescharacteristic
600C4×Dic86C2311yescharacteristic
601C4×Dic86C2312yes—
602#13063290C2312yes—
603#13063290C2312yes—
604#13063290C2312yes—
605#13063290C2312yes—
606#13063290C2314yes—
607#13063290C2314yes—
608#13063290C2314yes—
609C4×D172C2311yescharacteristic
610C4×D172C2311yescharacteristic
611C4×D172C2311yescharacteristic
612C4×D172C2314yes—
613C4×D172C2314yes—
614C4×D172C2312yes—
615C4×D172C2312yes—
616C4×D172C2311yescharacteristic
617C4×D172C2312yes—
618C4×D172C2314yes—
619C4×D172C2312yes—
620C4×D172C2311yescharacteristic
621C4×D172C2311yescharacteristic
622C4×D172C2312yes—
623C4×D172C2311yescharacteristic
624C4×D172C2311yescharacteristic
625C4×D172C2312yes—
626D4×Dic43C2314yes—
627D4×Dic43C2312yes—
628D4×Dic43C2312yes—
629D4×Dic43C2314yes—
630D4×Dic43C2312yes—
631D4×Dic43C2312yes—
632#13063287C2314yes—
633#13063287C2312yes—
634#13063287C2312yes—
635#13063287C2314yes—
636#13063287C2312yes—
637#13063287C2314yes—
638#13063287C2312yes—
639C4×C22⋊D43C2312yes—
640C4×C22⋊D43C2314yes—
641C4×C22⋊D43C2312yes—
642C4×C22⋊D43C2314yes—
643C4×C22⋊D43C2312yes—
644C4×C22⋊D43C2312yes—
645C4×C22⋊D43C2312yes—
646C4×C22⋊D43C2314yes—
647C4×C22⋊D43C2312yes—
648C4×C22⋊D43C2314yes—
649C4×C22⋊D43C2312yes—
650C4×C22⋊D43C2312yes—
651C4×C22⋊D43C2312yes—
652C4×C22⋊D43C2312yes—
653C4×C22⋊D43C2312yes—
654C4×C22⋊D43C2312yes—
655C4×C22⋊D43C2314yes—
656C4×C22⋊D43C2312yes—
657C4×C22⋊D43C2312yes—
658C4×C22⋊D43C2312yes—
659C4×C22⋊D43C2312yes—
660C4×C22⋊D43C2314yes—
661C4×C22⋊D43C2312yes—
662C4×C22⋊D43C2312yes—
663C4×C22⋊D43C2312yes—
664C4×C22⋊D43C2312yes—
665(C22⋊D43)⋊C4C2314yes—
666(C22⋊D43)⋊C4C2314yes—
667(C22⋊D43)⋊C4C2314yes—
668(C22⋊D43)⋊C4C2314yes—
669(C22⋊D43)⋊C4C2314yes—
670(C22⋊D43)⋊C4C2314yes—
671(C22⋊D43)⋊C4C2314yes—
672(C22⋊D43)⋊C4C2314yes—
673#13063284C2312yes—
674#13063284C2311yescharacteristic
675#13063284C2311yescharacteristic
676#13063284C2312yes—
677#13063283C2314yes—
678#13063283C2314yes—
679#13063283C2314yes—
680#13063283C2312yes—
681#13063283C2312yes—
682#13063283C2312yes—
683#13063283C2312yes—
684#13063282C2312yes—
685#13063282C2312yes—
686#13063282C2314yes—
687#13063282C2314yes—
688#13063282C2312yes—
689#13063282C2312yes—
690#13063282C2314yes—
691#13063282C2314yes—
692#13063282C2312yes—
693#13063282C2312yes—
694#13063282C2312yes—
695#13063282C2314yes—
696#13063282C2314yes—
697#13063282C2312yes—
698#13063282C2312yes—
699#13063282C2312yes—
700#13063282C2312yes—
701#13063282C2312yes—
702#13063282C2312yes—
703#13063282C2312yes—
704#13063281C2314yes—
705#13063281C2314yes—
706#13063281C2314yes—
707#13063281C2314yes—
708C2×C4⋊Dic43C2311yescharacteristic
709C2×C4⋊Dic43C2311yescharacteristic
710C2×Dic43⋊C4C2312yes—
711C2×Dic43⋊C4C2314yes—
712C2×Dic43⋊C4C2314yes—
713C2×Dic43⋊C4C2314yes—
714C2×Dic43⋊C4C2312yes—
715C2×Dic43⋊C4C2312yes—
716C2×Dic43⋊C4C2312yes—
717C4⋊C4×D43C2312yes—
718C4⋊C4×D43C2312yes—
719C4⋊C4×D43C2312yes—
720C4⋊C4×D43C2314yes—
721C4⋊C4×D43C2314yes—
722C4⋊C4×D43C2312yes—
723C4⋊C4×D43C2314yes—
724C2×C22⋊Dic43C2312yes—
725C2×(C2×D43)⋊C4C2312yes—
726C2×(C2×D43)⋊C4C2312yes—
727C2×(C2×D43)⋊C4C2314yes—
728C2×(C2×D43)⋊C4C2314yes—
729C2×(C2×D43)⋊C4C2314yes—
730C2×(C2×D43)⋊C4C2312yes—
731C2×(C2×D43)⋊C4C2312yes—
732C22⋊C4×D43C2314yes—
733C22⋊C4×D43C2314yes—
734C22⋊C4×D43C2314yes—
735C22⋊C4×D43C2314yes—
736C2×C4×Dic43C2312yes—
737C42×D43C2312yes—
738C42×D43C2312yes—
739C2×#41×C43C2312yes—
740C2×#41×C43C2312yes—
741C2×#41×C43C2312yes—
742C23×C4×C43C2311yescharacteristic
743C23×C4×C43C2311yescharacteristic
744C23×C4×C43C2311yescharacteristic
745C4⋊Q8×C43C2311yescharacteristic
746C4⋊Q8×C43C2311yescharacteristic
747C4⋊Q8×C43C2311yescharacteristic
748#127×C43C2311yescharacteristic
749#126×C43C2314yes—
750#126×C43C2314yes—
751#125×C43C2312yes—
752#125×C43C2312yes—
753#125×C43C2312yes—
754#124×C43C2312yes—
755#124×C43C2312yes—
756#124×C43C2312yes—
757#123×C43C2314yes—
758#123×C43C2314yes—
759#123×C43C2314yes—
760C22⋊Q8×C43C2312yes—
761C22⋊Q8×C43C2312yes—
762C22⋊Q8×C43C2312yes—
763C22⋊Q8×C43C2312yes—
764C22⋊Q8×C43C2312yes—
765C22⋊Q8×C43C2312yes—
766#121×C43C2312yes—
767#121×C43C2312yes—
768#121×C43C2312yes—
769#121×C43C2312yes—
770#121×C43C2312yes—
771#121×C43C2312yes—
772#120×C43C2314yes—
773C4×Q8×C43C2312yes—
774C4×Q8×C43C2312yes—
775C4×Q8×C43C2312yes—
776C4×Q8×C43C2312yes—
777C4×Q8×C43C2312yes—
778C4×Q8×C43C2312yes—
779C4×D4×C43C2312yes—
780C4×D4×C43C2314yes—
781C4×D4×C43C2314yes—
782C4×D4×C43C2314yes—
783C4×D4×C43C2314yes—
784C4×D4×C43C2314yes—
785C4×D4×C43C2314yes—
786C4×D4×C43C2312yes—
787C4×D4×C43C2312yes—
788C4×D4×C43C2312yes—
789C4×D4×C43C2312yes—
790C4×D4×C43C2312yes—
791#117×C43C2312yes—
792#117×C43C2314yes—
793#117×C43C2314yes—
794#117×C43C2314yes—
795#117×C43C2312yes—
796#117×C43C2312yes—
797C2×C42×C43C2311yescharacteristic
798C2×C42×C43C2311yescharacteristic
799C2×C42×C43C2311yescharacteristic
800C2×C42×C43C2311yescharacteristic
801C2×C42×C43C2311yescharacteristic
802C2×C42×C43C2311yescharacteristic
803C2×C42×C43C2311yescharacteristic
804C2×C42×C43C2311yescharacteristic
805C2×C42×C43C2311yescharacteristic
806C2×C42×C43C2311yescharacteristic
807C2×C42×C43C2311yescharacteristic
808C2×C42×C43C2311yescharacteristic
809C2×C42×C43C2314yes—
810C24×C43C2411yescharacteristic
811C23×D43C2412yes—
812C23×D43C2414yes—
813#41×C43—44no—
814#41×C43—44no—
815#41×C43—44no—
816C2×Q8×C43C2412yes—
817C2×Q8×C43C2412yes—
818C2×Q8×C43C2412yes—
819C2×D4×C43C2414yes—
820C2×D4×C43C2412yes—
821C2×D4×C43C2412yes—
822C2×D4×C43C2414yes—
823C2×D4×C43C2414yes—
824C2×D4×C43C2412yes—
825C22×C4×C43—42no—
826C22×C4×C43—42no—
827C22×C4×C43—42no—
828C22×C4×C43C2411yescharacteristic
829C22×C4×C43C2411yescharacteristic
830C22×C4×C43C2411yescharacteristic
831C22×C4×C43C2411yescharacteristic
832C22×C4×C43C2411yescharacteristic
833C22×C4×C43C2411yescharacteristic
834C22×C4×C43C2411yescharacteristic
835C22×C4×C43C2411yescharacteristic
836C22×C4×C43C2411yescharacteristic
837C22×C4×C43C2411yescharacteristic
838C22×C4×C43C2411yescharacteristic
839C22×C4×C43C2411yescharacteristic
840C22×C4×C43C2411yescharacteristic
841C22×C4×C43C2411yescharacteristic
842C22×C4×C43C2411yescharacteristic
843C22×C4×C43C2411yescharacteristic
844C22×C4×C43C2411yescharacteristic
845C22×C4×C43C2411yescharacteristic
846C22×C4×C43C2414yes—
847C22×C4×C43C2414yes—
848C22×C4×C43C2414yes—
849C2×C22⋊D43—44no—
850C2×C22⋊D43C2412yes—
851C2×C22⋊D43C2412yes—
852C2×C22⋊D43C2414yes—
853C2×C22⋊D43C2414yes—
854C2×C22⋊D43C2414yes—
855C2×C22⋊D43C2414yes—
856C2×C22⋊D43C2414yes—
857C2×C22⋊D43C2414yes—
858C2×C22⋊D43C2412yes—
859C2×C22⋊D43C2412yes—
860C2×C22⋊D43C2412yes—
861C2×C22⋊D43C2412yes—
862C2×C22⋊D43C2412yes—
863C2×C22⋊D43C2412yes—
864C2×C22⋊D43C2412yes—
865C2×C22⋊D43C2412yes—
866C22×Dic43C2412yes—
867C22×Dic43C2412yes—
868C22×Dic43C2412yes—
869C22×Dic43C2414yes—
870C22×Dic43C2414yes—
871C22×Dic43C2414yes—
872#10621902—44no—
873#10621902—44no—
874Q8×D43—44no—
875Q8×D43—44no—
876#10621900—44no—
877#10621900—44no—
878#10621900—48no—
879D4×D43—48no—
880D4×D43—44no—
881D4×D43—44no—
882#10621898—42no—
883#10621898—42no—
884#10621898—44no—
885#10621898—44no—
886C2×D172—42no—
887C2×D172C2411yescharacteristic
888C2×D172C2411yescharacteristic
889C2×D172C2411yescharacteristic
890C2×D172C2411yescharacteristic
891C2×D172C2414yes—
892C2×D172C2414yes—
893C2×D172C2414yes—
894C2×D172C2412yes—
895C2×D172C2412yes—
896C2×D172C2412yes—
897C2×C4×D43—44no—
898C2×C4×D43C2412yes—
899C2×C4×D43C2412yes—
900C2×C4×D43C2412yes—
901C2×C4×D43C2412yes—
902C2×C4×D43C2412yes—
903C2×C4×D43C2412yes—
904C2×C4×D43C2412yes—
905C2×C4×D43C2412yes—
906C2×C4×D43C2412yes—
907C2×C4×D43C2414yes—
908C2×C4×D43C2414yes—
909C2×C4×D43C2414yes—
910C2×C4×D43C2414yes—
911C2×C4×D43C2414yes—
912C2×C4×D43C2414yes—
913C2×C4×D43C2412yes—
914C2×Dic86—42no—
915C2×Dic86C2411yescharacteristic
916C2×Dic86C2411yescharacteristic
917C2×Dic86C2411yescharacteristic
918C2×Dic86C2411yescharacteristic
919C2×Dic86C2414yes—
920C2×Dic86C2414yes—
921C2×Dic86C2414yes—
922C2×Dic86C2412yes—
923C2×Dic86C2412yes—
924C2×Dic86C2412yes—
925C4⋊C4×C43C2412yes—
926C4⋊C4×C43C2412yes—
927C4⋊C4×C43C2412yes—
928C4⋊C4×C43C2412yes—
929C4⋊C4×C43C2412yes—
930C4⋊C4×C43C2412yes—
931C4⋊C4×C43C2414yes—
932C4⋊C4×C43C2414yes—
933C4⋊C4×C43C2414yes—
934C4⋊C4×C43C2414yes—
935C4⋊C4×C43C2414yes—
936C4⋊C4×C43C2414yes—
937C22⋊C4×C43C2414yes—
938C22⋊C4×C43C2414yes—
939C22⋊C4×C43C2414yes—
940C22⋊C4×C43C2414yes—
941C22⋊C4×C43C2414yes—
942C22⋊C4×C43C2414yes—
943C22⋊C4×C43C2414yes—
944C22⋊C4×C43C2414yes—
945C22⋊C4×C43C2414yes—
946C42×C43C2411yescharacteristic
947C42×C43C2411yescharacteristic
948C42×C43C2411yescharacteristic
949C42×C43C2411yescharacteristic
950C42×C43C2411yescharacteristic
951C42×C43C2411yescharacteristic
952C42×C43C2411yescharacteristic
953C42×C43C2411yescharacteristic
954C42×C43C2411yescharacteristic
955C42×C43C2411yescharacteristic
956C42×C43C2411yescharacteristic
957C42×C43C2411yescharacteristic
958C42×C43C2411yescharacteristic
959C42×C43C2411yescharacteristic
960C42×C43C2411yescharacteristic
961C42×C43C2411yescharacteristic
962C42×C43C2414yes—
963C42×C43C2414yes—
964C42×C43C2414yes—
965C22⋊Dic43C2412yes—
966C22⋊Dic43C2414yes—
967C22⋊Dic43C2414yes—
968C22⋊Dic43C2414yes—
969C22⋊Dic43C2412yes—
970C22⋊Dic43C2412yes—
971C22⋊Dic43C2412yes—
972C22⋊Dic43C2412yes—
973C22⋊Dic43C2412yes—
974C22⋊Dic43C2414yes—
975C22⋊Dic43C2414yes—
976C22⋊Dic43C2414yes—
977C22⋊Dic43C2412yes—
978C22⋊Dic43C2412yes—
979C22⋊Dic43C2412yes—
980C22⋊Dic43C2412yes—
981(C2×D43)⋊C4C2412yes—
982(C2×D43)⋊C4C2412yes—
983(C2×D43)⋊C4C2412yes—
984(C2×D43)⋊C4C2414yes—
985(C2×D43)⋊C4C2414yes—
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)⋊C4C2412yes—
993(C2×D43)⋊C4C2412yes—
994(C2×D43)⋊C4C2412yes—
995(C2×D43)⋊C4C2412yes—
996(C2×D43)⋊C4C2412yes—
997(C2×D43)⋊C4C2412yes—
998(C2×D43)⋊C4C2412yes—
999(C2×D43)⋊C4C2412yes—
1000(C2×D43)⋊C4C2412yes—
1001(C2×D43)⋊C4C2412yes—
1002(C2×D43)⋊C4C2414yes—
1003(C2×D43)⋊C4C2414yes—
1004(C2×D43)⋊C4C2414yes—
1005(C2×D43)⋊C4C2412yes—
1006(C2×D43)⋊C4C2412yes—
1007(C2×D43)⋊C4C2412yes—
1008(C2×D43)⋊C4C2412yes—
1009(C2×D43)⋊C4C2412yes—
1010(C2×D43)⋊C4C2414yes—
1011(C2×D43)⋊C4C2414yes—
1012(C2×D43)⋊C4C2412yes—
1013(C2×D43)⋊C4C2414yes—
1014(C2×D43)⋊C4C2412yes—
1015(C2×D43)⋊C4C2412yes—
1016(C2×D43)⋊C4C2412yes—
1017(C2×D43)⋊C4C2412yes—
1018(C2×D43)⋊C4C2412yes—
1019(C2×D43)⋊C4C2414yes—
1020(C2×D43)⋊C4C2414yes—
1021C4⋊Dic43C2411yescharacteristic
1022C4⋊Dic43C2411yescharacteristic
1023C4⋊Dic43C2411yescharacteristic
1024C4⋊Dic43C2411yescharacteristic
1025C4⋊Dic43C2414yes—
1026C4⋊Dic43C2414yes—
1027C4⋊Dic43C2414yes—
1028C4⋊Dic43C2411yescharacteristic
1029C4⋊Dic43C2411yescharacteristic
1030C4⋊Dic43C2412yes—
1031C4⋊Dic43C2412yes—
1032C4⋊Dic43C2411yescharacteristic
1033C4⋊Dic43C2411yescharacteristic
1034C4⋊Dic43C2414yes—
1035C4⋊Dic43C2414yes—
1036C4⋊Dic43C2414yes—
1037C4⋊Dic43C2412yes—
1038C4⋊Dic43C2412yes—
1039C4⋊Dic43C2412yes—
1040C4⋊Dic43C2412yes—
1041Dic43⋊C4C2412yes—
1042Dic43⋊C4C2412yes—
1043Dic43⋊C4C2412yes—
1044Dic43⋊C4C2414yes—
1045Dic43⋊C4C2414yes—
1046Dic43⋊C4C2414yes—
1047Dic43⋊C4C2414yes—
1048Dic43⋊C4C2414yes—
1049Dic43⋊C4C2412yes—
1050Dic43⋊C4C2412yes—
1051Dic43⋊C4C2412yes—
1052Dic43⋊C4C2412yes—
1053Dic43⋊C4C2412yes—
1054Dic43⋊C4C2412yes—
1055Dic43⋊C4C2412yes—
1056Dic43⋊C4C2412yes—
1057Dic43⋊C4C2412yes—
1058Dic43⋊C4C2412yes—
1059Dic43⋊C4C2412yes—
1060Dic43⋊C4C2412yes—
1061Dic43⋊C4C2412yes—
1062Dic43⋊C4C2412yes—
1063Dic43⋊C4C2414yes—
1064Dic43⋊C4C2414yes—
1065Dic43⋊C4C2414yes—
1066Dic43⋊C4C2412yes—
1067Dic43⋊C4C2412yes—
1068Dic43⋊C4C2412yes—
1069Dic43⋊C4C2414yes—
1070Dic43⋊C4C2412yes—
1071Dic43⋊C4C2412yes—
1072Dic43⋊C4C2412yes—
1073Dic43⋊C4C2414yes—
1074Dic43⋊C4C2412yes—
1075Dic43⋊C4C2412yes—
1076Dic43⋊C4C2412yes—
1077Dic43⋊C4C2412yes—
1078Dic43⋊C4C2412yes—
1079Dic43⋊C4C2414yes—
1080Dic43⋊C4C2414yes—
1081C4×Dic43C2412yes—
1082C4×Dic43C2412yes—
1083C4×Dic43C2412yes—
1084C4×Dic43C2412yes—
1085C4×Dic43C2412yes—
1086C4×Dic43C2412yes—
1087C4×Dic43C2412yes—
1088C4×Dic43C2412yes—
1089C4×Dic43C2412yes—
1090C4×Dic43C2412yes—
1091C4×Dic43C2414yes—
1092C4×Dic43C2414yes—
1093C4×Dic43C2414yes—
1094C4×Dic43C2414yes—
1095C4×Dic43C2414yes—
1096C4×Dic43C2414yes—
1097C23×C43—22no—
1098C23×C43—41no—
1099C23×C43—41no—
1100C23×C43C2511yescharacteristic
1101C23×C43C2511yescharacteristic
1102C23×C43C2514yes—
1103C23×C43C2511yescharacteristic
1104C22×D43—24no—
1105C22×D43—42no—
1106C22×D43—42no—
1107C22×D43—44no—
1108C22×D43—44no—
1109C22×D43—44no—
1110C22×D43C2512yes—
1111C22×D43C2512yes—
1112C22×D43C2512yes—
1113C22×D43C2512yes—
1114Q8×C43—24no—
1115Q8×C43—24no—
1116Q8×C43—42no—
1117D4×C43—28no—
1118D4×C43—24no—
1119D4×C43—24no—
1120D4×C43—44no—
1121D4×C43—44no—
1122D4×C43—42no—
1123C2×C4×C43—22no—
1124C2×C4×C43—22no—
1125C2×C4×C43—22no—
1126C2×C4×C43—22no—
1127C2×C4×C43—22no—
1128C2×C4×C43—22no—
1129C2×C4×C43—22no—
1130C2×C4×C43—22no—
1131C2×C4×C43—41no—
1132C2×C4×C43—41no—
1133C2×C4×C43—41no—
1134C2×C4×C43—41no—
1135C2×C4×C43—41no—
1136C2×C4×C43—41no—
1137C2×C4×C43—41no—
1138C2×C4×C43—41no—
1139C2×C4×C43—41no—
1140C2×C4×C43—41no—
1141C2×C4×C43—44no—
1142C2×C4×C43—44no—
1143C2×C4×C43—44no—
1144C2×C4×C43C2511yescharacteristic
1145C2×C4×C43C2511yescharacteristic
1146C2×C4×C43C2511yescharacteristic
1147C2×C4×C43C2514yes—
1148C2×C4×C43C2514yes—
1149C2×C4×C43C2514yes—
1150C2×C4×C43C2511yescharacteristic
1151C2×C4×C43C2511yescharacteristic
1152C2×C4×C43C2511yescharacteristic
1153C2×C4×C43C2511yescharacteristic
1154C2×C4×C43C2511yescharacteristic
1155C2×C4×C43C2511yescharacteristic
1156C2×C4×C43C2511yescharacteristic
1157C2×C4×C43C2511yescharacteristic
1158C2×C4×C43C2511yescharacteristic
1159C22⋊D43—24no—
1160C22⋊D43—24no—
1161C22⋊D43—42no—
1162C22⋊D43—42no—
1163C22⋊D43—42no—
1164C22⋊D43—42no—
1165C22⋊D43—44no—
1166C22⋊D43—44no—
1167C22⋊D43—44no—
1168C22⋊D43—44no—
1169C22⋊D43—44no—
1170C22⋊D43—44no—
1171C22⋊D43—42no—
1172C22⋊D43—42no—
1173C22⋊D43—42no—
1174C22⋊D43—42no—
1175C2×Dic43—24no—
1176C2×Dic43—42no—
1177C2×Dic43—42no—
1178C2×Dic43—44no—
1179C2×Dic43—44no—
1180C2×Dic43—44no—
1181C2×Dic43C2512yes—
1182C2×Dic43C2512yes—
1183C2×Dic43C2512yes—
1184C2×Dic43C2512yes—
1185C2×Dic43C2512yes—
1186C2×Dic43C2512yes—
1187C2×Dic43C2512yes—
1188C2×Dic43C2512yes—
1189C2×Dic43C2512yes—
1190C2×Dic43C2512yes—
1191C2×Dic43C2512yes—
1192C2×Dic43C2512yes—
1193D172—22no—
1194D172—22no—
1195D172—22no—
1196D172—22no—
1197D172—42no—
1198D172—42no—
1199D172—42no—
1200D172—44no—
1201D172—44no—
1202D172—44no—
1203C4×D43—24no—
1204C4×D43—24no—
1205C4×D43—24no—
1206C4×D43—24no—
1207C4×D43—42no—
1208C4×D43—42no—
1209C4×D43—42no—
1210C4×D43—42no—
1211C4×D43—42no—
1212C4×D43—42no—
1213C4×D43—44no—
1214C4×D43—44no—
1215C4×D43—44no—
1216C4×D43—44no—
1217C4×D43—44no—
1218C4×D43—44no—
1219Dic86—22no—
1220Dic86—22no—
1221Dic86—22no—
1222Dic86—22no—
1223Dic86—42no—
1224Dic86—42no—
1225Dic86—42no—
1226Dic86—44no—
1227Dic86—44no—
1228Dic86—44no—
1229#62827—431nomaximal, Sylow
1230C22×C43—21no—
1231C22×C43—21no—
1232C22×C43—24no—
1233C22×C43—24no—
1234C22×C43—24no—
1235C22×C43—21no—
1236C22×C43—21no—
1237C22×C43—21no—
1238C22×C43—21no—
1239C22×C43—21no—
1240C22×C43—21no—
1241C22×C43—44no—
1242C22×C43#58512yes—
1243C22×C43C2611yescharacteristic
1244C2×D43—22no—
1245C2×D43—22no—
1246C2×D43—22no—
1247C2×D43—22no—
1248C2×D43—22no—
1249C2×D43—22no—
1250C2×D43—22no—
1251C2×D43—22no—
1252C2×D43—22no—
1253C2×D43—22no—
1254C2×D43—22no—
1255C2×D43—22no—
1256C2×D43—84no—
1257C2×D43—164no—
1258C4×C43—21no—
1259C4×C43—21no—
1260C4×C43—21no—
1261C4×C43—24no—
1262C4×C43—24no—
1263C4×C43—24no—
1264C4×C43—21no—
1265C4×C43—21no—
1266C4×C43—21no—
1267C4×C43—21no—
1268C4×C43—21no—
1269C4×C43—21no—
1270C4×C43—21no—
1271C4×C43#58512yes—
1272C4×C43#58512yes—
1273Dic43—22no—
1274Dic43—22no—
1275Dic43—22no—
1276Dic43—22no—
1277Dic43—22no—
1278Dic43—22no—
1279Dic43—22no—
1280Dic43—22no—
1281Dic43—22no—
1282Dic43—22no—
1283Dic43—22no—
1284Dic43—22no—
1285#3566—434no—
1286#3566—434no—
1287#3565—432no—
1288#3562—432no—
1289#3555—431no—
1290#3554—431no—
1291#3547—431no—
1292#3546—431no—
1293#3542—432no—
1294#3541—432no—
1295#3533—434no—
1296#3524—432no—
1297#3524—432no—
1298#3523—431no—
1299#3522—431no—
1300#3521—434no—
1301#3521—432no—
1302#3521—432no—
1303#3520—431no—
1304#3519—431no—
1305#3518—431no—
1306#3517—431no—
1307#3515—431no—
1308#3515—432no—
1309#3514—431no—
1310#3514—432no—
1311#3512—432no—
1312#3510—432no—
1313#3506—432no—
1314#3505—432no—
1315#3495—432no—
1316#3494—432no—
1317#3444—431no—
1318#3444D4311yescharacteristic, complemented
1319C2×#529—431no—
1320C2×C43—22no—
1321C2×C43—44no—
1322C2×C43—41no—
1323C2×C43—41no—
1324C2×C43C2×#58511yescharacteristic
1325C2×C43C2×#58511yescharacteristic
1326C2×C43C2×#58511yescharacteristic
1327D43—42no—
1328D43—42no—
1329D43—42no—
1330D43—42no—
1331#563—434no—
1332#563—434no—
1333#562—434no—
1334#562—434no—
1335#562—434no—
1336#562—434no—
1337#560—434no—
1338#560—434no—
1339#559—431no—
1340#559—434no—
1341#559—434no—
1342#559—434no—
1343#559—432no—
1344#559—432no—
1345Q82—431no—
1346#557—431no—
1347#557—431no—
1348#557—432no—
1349#557—432no—
1350#556—431no—
1351#556—431no—
1352#556—434no—
1353#556—432no—
1354#556—432no—
1355#556—434no—
1356#556—432no—
1357#556—432no—
1358#556—434no—
1359#556—432no—
1360#555—431no—
1361#555—432no—
1362#555—434no—
1363#555—432no—
1364#555—434no—
1365#555—432no—
1366#554—431no—
1367#554—431no—
1368#554—432no—
1369#554—434no—
1370#554—432no—
1371#554—432no—
1372#553—434no—
1373#553—434no—
1374#553—434no—
1375#553—432no—
1376#553—432no—
1377#553—434no—
1378#553—434no—
1379#553—434no—
1380#553—434no—
1381#553—434no—
1382#553—434no—
1383#553—432no—
1384#553—432no—
1385#553—432no—
1386#553—432no—
1387#553—434no—
1388#552—434no—
1389#552—434no—
1390#552—432no—
1391#552—432no—
1392#552—432no—
1393#552—434no—
1394#552—432no—
1395#552—434no—
1396#552—434no—
1397#552—434no—
1398#552—434no—
1399#552—434no—
1400#552—432no—
1401#552—432no—
1402#552—434no—
1403#551—434no—
1404#551—434no—
1405#551—434no—
1406#551—434no—
1407#551—434no—
1408#551—434no—
1409#551—434no—
1410#551—434no—
1411#551—434no—
1412#551—434no—
1413#551—434no—
1414#550—432no—
1415#550—432no—
1416#550—431no—
1417#550—431no—
1418#550—432no—
1419D4×Q8—431no—
1420D4×Q8—431no—
1421D4×Q8—432no—
1422#548—432no—
1423#548—432no—
1424#548—432no—
1425#548—432no—
1426#548—432no—
1427#548—432no—
1428#547—432no—
1429#547—432no—
1430#547—434no—
1431#547—431no—
1432#547—431no—
1433#547—434no—
1434#547—432no—
1435#547—432no—
1436#546—432no—
1437#546—432no—
1438#546—434no—
1439#546—434no—
1440#546—432no—
1441#546—432no—
1442#546—434no—
1443#546—432no—
1444#546—432no—
1445D42—431no—
1446D42—432no—
1447#544—432no—
1448#544—432no—
1449#542—434no—
1450#542—432no—
1451#542—432no—
1452#542—434no—
1453#542—432no—
1454#542—434no—
1455#542—432no—
1456#542—432no—
1457#542—432no—
1458#542—434no—
1459#542—432no—
1460#542—432no—
1461#542—434no—
1462#542—434no—
1463#541—434no—
1464#541—432no—
1465#541—434no—
1466#541—432no—
1467#541—432no—
1468#541—432no—
1469#541—434no—
1470#540—432no—
1471#540—432no—
1472#540—434no—
1473#540—432no—
1474#540—432no—
1475#540—434no—
1476#540—434no—
1477#539—434no—
1478#539—434no—
1479#539—434no—
1480#539—434no—
1481#539—434no—
1482#539—434no—
1483#539—434no—
1484#538—434no—
1485#538—434no—
1486#538—434no—
1487#538—434no—
1488#538—434no—
1489#538—434no—
1490#538—434no—
1491#538—434no—
1492#538—434no—
1493#537—432no—
1494#537—432no—
1495#536—432no—
1496#536—432no—
1497#535—432no—
1498#535—432no—
1499#535—434no—
1500#534—434no—
1501#533—432no—
1502#533—432no—
1503#533—431no—
1504#533—431no—
1505#533—431no—
1506#533C2×D4311yescharacteristic, complemented
1507#533C2×D4311yescharacteristic, complemented
1508#533C2×D4311yescharacteristic, complemented
1509#532—432no—
1510#532—432no—
1511#532—431no—
1512#532—431no—
1513#532—431no—
1514#532C2×D4311yescharacteristic
1515#532C2×D4311yescharacteristic, complemented
1516#532C2×D4311yescharacteristic, complemented
1517#529—432no—
1518#529—432no—
1519#529—432no—
1520#529—432no—
1521#529—432no—
1522#529—432no—
1523#529—431no—
1524#529—431no—
1525#529—431no—
1526#529—431no—
1527#529—431no—
1528#529—431no—
1529#529—432no—
1530#529—431no—
1531#529—431no—
1532#529—432no—
1533#529—432no—
1534#529—432no—
1535#529—431no—
1536#529—431no—
1537#529—432no—
1538#529—431no—
1539#529—432no—
1540#529—431no—
1541#529—432no—
1542#529—432no—
1543#529—434no—
1544#529—434no—
1545#529—434no—
1546#529C2×D4312yescomplemented
1547#529C2×D4312yescomplemented
1548#529C2×D4312yescomplemented
1549#529C2×D4312yescomplemented
1550#529C2×D4312yescomplemented
1551#529C2×D4312yescomplemented
1552C2×#126—432no—
1553C2×#126—434no—
1554C2×#125—432no—
1555C2×#125—431no—
1556C2×#124—432no—
1557C2×#124—431no—
1558#525—431no—
1559#525—431no—
1560#525—432no—
1561#525—432no—
1562#525—432no—
1563#525—432no—
1564#525C2×D4312yescomplemented
1565#525C2×D4312yescomplemented
1566#525C2×D4312yescomplemented
1567C2×#123—432no—
1568C2×C22⋊Q8—431no—
1569C2×C22⋊Q8—432no—
1570C2×#121—431no—
1571C2×#121—432no—
1572#520—432no—
1573#520—432no—
1574#520—432no—
1575#520—434no—
1576#520—432no—
1577#519—432no—
1578#519—432no—
1579#518—432no—
1580#518—434no—
1581#518—432no—
1582C4×#41—432no—
1583C4×#41—432no—
1584C4×#41—431no—
1585C4×#41—431no—
1586C4×#41C2×D4312yescomplemented
1587C4×#41C2×D4312yescomplemented
1588C4×#41C2×D4312yescomplemented
1589C2×C4×Q8—431no—
1590C2×C4×D4—432no—
1591C2×C4×D4—431no—
1592C2×#117—432no—
1593C22×C42C2×D4311yescharacteristic, complemented
1594C43#6282711yescharacteristic, complemented, Sylow
1595C2×#41—432no—
1596C2×#41—432no—
1597C2×#41—432no—
1598C2×#41—434no—
1599C2×#41—432no—
1600C2×#41—432no—
1601C2×#41—432no—
1602C2×#41—431no—
1603C2×#41—431no—
1604C2×#41C22×D4312yes—
1605C2×#41C22×D4312yes—
1606C2×#41C22×D4312yes—
1607C22×Q8—432no—
1608C22×Q8—432no—
1609C22×Q8—431no—
1610C22×D4—432no—
1611C22×D4—434no—
1612C22×D4—432no—
1613C22×D4—432no—
1614C22×D4—431no—
1615C23×C4—432no—
1616C23×C4C22×D4311yescharacteristic
1617C23×C4C22×D4311yescharacteristic
1618C23×C4C22×D4311yescharacteristic
1619C4⋊Q8—432no—
1620C4⋊Q8—432no—
1621C4⋊Q8—434no—
1622C4⋊Q8—432no—
1623C4⋊Q8—432no—
1624C4⋊Q8—432no—
1625C4⋊Q8—432no—
1626C4⋊Q8—434no—
1627C4⋊Q8—434no—
1628C4⋊Q8—434no—
1629C4⋊Q8—431no—
1630C4⋊Q8—431no—
1631C4⋊Q8—431no—
1632C4⋊Q8C22×D4311yescharacteristic
1633C4⋊Q8C22×D4311yescharacteristic
1634C4⋊Q8C22×D4311yescharacteristic
1635#127—432no—
1636#127—432no—
1637#127—434no—
1638#127—434no—
1639#127—431no—
1640#127C22×D4311yescharacteristic
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#126—434no—
1655#126—434no—
1656#126—434no—
1657#126—434no—
1658#126—434no—
1659#126—432no—
1660#126—432no—
1661#126—432no—
1662#126—432no—
1663#126—432no—
1664#126—432no—
1665#126—432no—
1666#126—432no—
1667#126—432no—
1668#126—434no—
1669#126—434no—
1670#126—434no—
1671#126—434no—
1672#126—434no—
1673#126—434no—
1674#126—432no—
1675#126—432no—
1676#126—432no—
1677#126C22×D4314yes—
1678#126C22×D4314yes—
1679#125—434no—
1680#125—434no—
1681#125—432no—
1682#125—432no—
1683#125—432no—
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—431no—
1695#125—431no—
1696#125—432no—
1697#125—432no—
1698#125—431no—
1699#125—431no—
1700#125—432no—
1701#125—432no—
1702#125—431no—
1703#125—431no—
1704#125—434no—
1705#125—434no—
1706#125—434no—
1707#125C22×D4312yes—
1708#125C22×D4312yes—
1709#125C22×D4312yes—
1710#124—432no—
1711#124—432no—
1712#124—434no—
1713#124—432no—
1714#124—432no—
1715#124—434no—
1716#124—434no—
1717#124—434no—
1718#124—434no—
1719#124—434no—
1720#124—434no—
1721#124—434no—
1722#124—434no—
1723#124—434no—
1724#124—434no—
1725#124—434no—
1726#124—434no—
1727#124—431no—
1728#124—431no—
1729#124—432no—
1730#124—431no—
1731#124—431no—
1732#124—432no—
1733#124—432no—
1734#124—431no—
1735#124—431no—
1736#124—432no—
1737#124—434no—
1738#124—434no—
1739#124—434no—
1740#124C22×D4312yes—
1741#124C22×D4312yes—
1742#124C22×D4312yes—
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—432no—
1752#123—432no—
1753#123—432no—
1754#123—432no—
1755#123—432no—
1756#123—432no—
1757#123—432no—
1758#123—432no—
1759#123—432no—
1760#123—432no—
1761#123—434no—
1762#123—434no—
1763#123—434no—
1764#123—434no—
1765#123—434no—
1766#123—434no—
1767#123—434no—
1768#123—434no—
1769#123—434no—
1770#123—434no—
1771#123—434no—
1772#123—434no—
1773#123—434no—
1774#123—434no—
1775#123—434no—
1776#123—434no—
1777#123—434no—
1778#123—434no—
1779#123—434no—
1780#123—434no—
1781#123—434no—
1782#123—434no—
1783#123—434no—
1784#123—434no—
1785#123—434no—
1786#123—434no—
1787#123—434no—
1788#123—434no—
1789#123C22×D4314yes—
1790#123C22×D4314yes—
1791#123C22×D4314yes—
1792C22⋊Q8—432no—
1793C22⋊Q8—432no—
1794C22⋊Q8—432no—
1795C22⋊Q8—432no—
1796C22⋊Q8—434no—
1797C22⋊Q8—434no—
1798C22⋊Q8—431no—
1799C22⋊Q8—431no—
1800C22⋊Q8—431no—
1801C22⋊Q8—432no—
1802C22⋊Q8—431no—
1803C22⋊Q8—431no—
1804C22⋊Q8—432no—
1805C22⋊Q8—431no—
1806C22⋊Q8—432no—
1807C22⋊Q8—431no—
1808C22⋊Q8—431no—
1809C22⋊Q8—432no—
1810C22⋊Q8—432no—
1811C22⋊Q8—432no—
1812C22⋊Q8—434no—
1813C22⋊Q8—434no—
1814C22⋊Q8—434no—
1815C22⋊Q8—434no—
1816C22⋊Q8—432no—
1817C22⋊Q8—432no—
1818C22⋊Q8—432no—
1819C22⋊Q8—432no—
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—434no—
1837C22⋊Q8—434no—
1838C22⋊Q8C22×D4312yes—
1839C22⋊Q8C22×D4312yes—
1840C22⋊Q8C22×D4312yes—
1841C22⋊Q8C22×D4312yes—
1842C22⋊Q8C22×D4312yes—
1843C22⋊Q8C22×D4312yes—
1844#121—434no—
1845#121—432no—
1846#121—432no—
1847#121—432no—
1848#121—432no—
1849#121—434no—
1850#121—434no—
1851#121—434no—
1852#121—434no—
1853#121—434no—
1854#121—434no—
1855#121—434no—
1856#121—434no—
1857#121—434no—
1858#121—434no—
1859#121—434no—
1860#121—431no—
1861#121—431no—
1862#121—431no—
1863#121—432no—
1864#121—431no—
1865#121—431no—
1866#121—432no—
1867#121—431no—
1868#121—432no—
1869#121—431no—
1870#121—432no—
1871#121—431no—
1872#121—432no—
1873#121—432no—
1874#121—434no—
1875#121—434no—
1876#121—434no—
1877#121—432no—
1878#121—432no—
1879#121—432no—
1880#121—432no—
1881#121—434no—
1882#121—434no—
1883#121—434no—
1884#121—434no—
1885#121—434no—
1886#121—434no—
1887#121—434no—
1888#121—434no—
1889#121—434no—
1890#121—434no—
1891#121—434no—
1892#121—434no—
1893#121—434no—
1894#121C22×D4312yes—
1895#121C22×D4312yes—
1896#121C22×D4312yes—
1897#121C22×D4312yes—
1898#121C22×D4312yes—
1899#121C22×D4312yes—
1900#120—432no—
1901#120—432no—
1902#120—434no—
1903#120—434no—
1904#120—434no—
1905#120—434no—
1906#120—434no—
1907#120—434no—
1908#120—434no—
1909#120—434no—
1910#120C22×D4314yes—
1911C4×Q8—432no—
1912C4×Q8—432no—
1913C4×Q8—432no—
1914C4×Q8—432no—
1915C4×Q8—432no—
1916C4×Q8—432no—
1917C4×Q8—434no—
1918C4×Q8—434no—
1919C4×Q8—432no—
1920C4×Q8—432no—
1921C4×Q8—434no—
1922C4×Q8—431no—
1923C4×Q8—431no—
1924C4×Q8—432no—
1925C4×Q8—431no—
1926C4×Q8—431no—
1927C4×Q8—432no—
1928C4×Q8—431no—
1929C4×Q8—431no—
1930C4×Q8—432no—
1931C4×Q8—431no—
1932C4×Q8—431no—
1933C4×Q8—432no—
1934C4×Q8—432no—
1935C4×Q8—432no—
1936C4×Q8—434no—
1937C4×Q8—434no—
1938C4×Q8—434no—
1939C4×Q8C22×D4312yes—
1940C4×Q8C22×D4312yes—
1941C4×Q8C22×D4312yes—
1942C4×Q8C22×D4312yes—
1943C4×Q8C22×D4312yes—
1944C4×Q8C22×D4312yes—
1945C4×D4—434no—
1946C4×D4—432no—
1947C4×D4—432no—
1948C4×D4—434no—
1949C4×D4—432no—
1950C4×D4—432no—
1951C4×D4—432no—
1952C4×D4—432no—
1953C4×D4—432no—
1954C4×D4—432no—
1955C4×D4—432no—
1956C4×D4—432no—
1957C4×D4—432no—
1958C4×D4—432no—
1959C4×D4—432no—
1960C4×D4—432no—
1961C4×D4—432no—
1962C4×D4—432no—
1963C4×D4—432no—
1964C4×D4—432no—
1965C4×D4—432no—
1966C4×D4—432no—
1967C4×D4—432no—
1968C4×D4—432no—
1969C4×D4—432no—
1970C4×D4—432no—
1971C4×D4—434no—
1972C4×D4—434no—
1973C4×D4—434no—
1974C4×D4—434no—
1975C4×D4—434no—
1976C4×D4—434no—
1977C4×D4—434no—
1978C4×D4—432no—
1979C4×D4—432no—
1980C4×D4—434no—
1981C4×D4—434no—
1982C4×D4—432no—
1983C4×D4—432no—
1984C4×D4—434no—
1985C4×D4—434no—
1986C4×D4—434no—
1987C4×D4—434no—
1988C4×D4—434no—
1989C4×D4—434no—
1990C4×D4—434no—
1991C4×D4—434no—
1992C4×D4—431no—
1993C4×D4—431no—
1994C4×D4—432no—
1995C4×D4—431no—
1996C4×D4—432no—
1997C4×D4—431no—
1998C4×D4—431no—
1999C4×D4—431no—
2000C4×D4—432no—
2001C4×D4—431no—
2002C4×D4—432no—
2003C4×D4—431no—
2004C4×D4—432no—
2005C4×D4—432no—
2006C4×D4—434no—
2007C4×D4—434no—
2008C4×D4—434no—
2009C4×D4C22×D4314yes—
2010C4×D4C22×D4312yes—
2011C4×D4C22×D4312yes—
2012C4×D4C22×D4314yes—
2013C4×D4C22×D4314yes—
2014C4×D4C22×D4314yes—
2015C4×D4C22×D4314yes—
2016C4×D4C22×D4314yes—
2017C4×D4C22×D4312yes—
2018C4×D4C22×D4312yes—
2019C4×D4C22×D4312yes—
2020C4×D4C22×D4312yes—
2021#117—432no—
2022#117—432no—
2023#117—431no—
2024#117—431no—
2025#117—432no—
2026#117—434no—
2027#117—432no—
2028#117—432no—
2029#117—434no—
2030#117—434no—
2031#117—432no—
2032#117—434no—
2033#117—434no—
2034#117—434no—
2035#117—434no—
2036#117—432no—
2037#117—432no—
2038#117—432no—
2039#117—432no—
2040#117—432no—
2041#117—432no—
2042#117—432no—
2043#117—432no—
2044#117—432no—
2045#117—432no—
2046#117—432no—
2047#117—432no—
2048#117—432no—
2049#117—432no—
2050#117—434no—
2051#117—434no—
2052#117—434no—
2053#117—434no—
2054#117—434no—
2055#117—434no—
2056#117C22×D4312yes—
2057#117C22×D4312yes—
2058#117C22×D4312yes—
2059#117C22×D4314yes—
2060#117C22×D4314yes—
2061#117C22×D4314yes—
2062C2×C4⋊C4—432no—
2063C2×C4⋊C4—432no—
2064C2×C4⋊C4—432no—
2065C2×C4⋊C4—431no—
2066C2×C4⋊C4—431no—
2067C2×C4⋊C4—432no—
2068C2×C4⋊C4—434no—
2069C2×C4⋊C4—434no—
2070C2×C4⋊C4—434no—
2071C2×C4⋊C4—432no—
2072C2×C4⋊C4—434no—
2073C2×C4⋊C4—432no—
2074C2×C4⋊C4—432no—
2075C2×C4⋊C4—432no—
2076C2×C4⋊C4—434no—
2077C2×C4⋊C4—434no—
2078C2×C22⋊C4—432no—
2079C2×C22⋊C4—432no—
2080C2×C22⋊C4—432no—
2081C2×C22⋊C4—432no—
2082C2×C22⋊C4—432no—
2083C2×C22⋊C4—434no—
2084C2×C22⋊C4—434no—
2085C2×C22⋊C4—434no—
2086C2×C22⋊C4—434no—
2087C2×C22⋊C4—434no—
2088C2×C22⋊C4—434no—
2089C2×C22⋊C4—434no—
2090C2×C42—432no—
2091C2×C42—432no—
2092C2×C42—432no—
2093C2×C42C22×D4311yescharacteristic
2094C2×C42C22×D4311yescharacteristic
2095C2×C42C22×D4311yescharacteristic
2096C2×C42C22×D4311yescharacteristic
2097C2×C42C22×D4311yescharacteristic
2098C2×C42C22×D4314yes—
2099C2×C42C22×D4311yescharacteristic
2100C2×C42C22×D4311yescharacteristic
2101C2×C42C22×D4311yescharacteristic
2102C2×C42C22×D4311yescharacteristic
2103C2×C42C22×D4311yescharacteristic
2104C2×C42C22×D4311yescharacteristic
2105C2×C42C22×D4311yescharacteristic
2106C24—432no—
2107C24—434no—
2108C24C23×D4311yescharacteristic
2109#41—44no—
2110#41—44no—
2111#41—44no—
2112#41—1724no—
2113#41—1724no—
2114#41—1722no—
2115#41—1722no—
2116#41—1728no—
2117#41—1724no—
2118#41—1724no—
2119#41—1724no—
2120#41—1724no—
2121C2×Q8—431no—
2122C2×Q8—431no—
2123C2×Q8—431no—
2124C2×Q8—431no—
2125C2×Q8—434no—
2126C2×Q8—432no—
2127C2×Q8—432no—
2128C2×Q8—432no—
2129C2×Q8—434no—
2130C2×Q8—434no—
2131C2×Q8—1722no—
2132C2×Q8—1724no—
2133C2×Q8—1724no—
2134C2×Q8C23×D4312yes—
2135C2×Q8C23×D4312yes—
2136C2×Q8C23×D4312yes—
2137C2×D4—432no—
2138C2×D4—432no—
2139C2×D4—432no—
2140C2×D4—432no—
2141C2×D4—432no—
2142C2×D4—434no—
2143C2×D4—434no—
2144C2×D4—432no—
2145C2×D4—434no—
2146C2×D4—434no—
2147C2×D4—432no—
2148C2×D4—432no—
2149C2×D4—434no—
2150C2×D4—432no—
2151C2×D4—434no—
2152C2×D4—432no—
2153C2×D4—431no—
2154C2×D4—431no—
2155C2×D4—431no—
2156C2×D4—431no—
2157C2×D4—434no—
2158C2×D4—432no—
2159C2×D4—432no—
2160C2×D4—432no—
2161C2×D4—434no—
2162C2×D4—434no—
2163C2×D4—1722no—
2164C2×D4—1724no—
2165C2×D4—1724no—
2166C2×D4—1724no—
2167C2×D4—1728no—
2168C2×D4C23×D4314yes—
2169C2×D4C23×D4312yes—
2170C2×D4C23×D4312yes—
2171C2×D4C23×D4312yes—
2172C2×D4C23×D4314yes—
2173C2×D4C23×D4314yes—
2174C22×C4—42no—
2175C22×C4—42no—
2176C22×C4—42no—
2177C22×C4—432no—
2178C22×C4—432no—
2179C22×C4—432no—
2180C22×C4—434no—
2181C22×C4—434no—
2182C22×C4—434no—
2183C22×C4—432no—
2184C22×C4—432no—
2185C22×C4—432no—
2186C22×C4—432no—
2187C22×C4—432no—
2188C22×C4—432no—
2189C22×C4—432no—
2190C22×C4—432no—
2191C22×C4—432no—
2192C22×C4—434no—
2193C22×C4—434no—
2194C22×C4—434no—
2195C22×C4—434no—
2196C22×C4—434no—
2197C22×C4—434no—
2198C22×C4—432no—
2199C22×C4—1724no—
2200C22×C4C23×D4311yescharacteristic
2201C22×C4C23×D4311yescharacteristic
2202C22×C4C23×D4311yescharacteristic
2203C22×C4C23×D4311yescharacteristic
2204C22×C4C23×D4311yescharacteristic
2205C22×C4C23×D4311yescharacteristic
2206C22×C4C23×D4311yescharacteristic
2207C22×C4C23×D4311yescharacteristic
2208C22×C4C23×D4311yescharacteristic
2209C22×C4C23×D4311yescharacteristic
2210C22×C4C23×D4311yescharacteristic
2211C22×C4C23×D4311yescharacteristic
2212C22×C4C23×D4311yescharacteristic
2213C22×C4C23×D4311yescharacteristic
2214C22×C4C23×D4311yescharacteristic
2215C22×C4C23×D4311yescharacteristic
2216C22×C4C23×D4311yescharacteristic
2217C22×C4C23×D4311yescharacteristic
2218C22×C4C23×D4314yes—
2219C22×C4C23×D4314yes—
2220C22×C4C23×D4314yes—
2221C4⋊C4—432no—
2222C4⋊C4—432no—
2223C4⋊C4—432no—
2224C4⋊C4—432no—
2225C4⋊C4—431no—
2226C4⋊C4—431no—
2227C4⋊C4—432no—
2228C4⋊C4—432no—
2229C4⋊C4—432no—
2230C4⋊C4—431no—
2231C4⋊C4—432no—
2232C4⋊C4—431no—
2233C4⋊C4—432no—
2234C4⋊C4—434no—
2235C4⋊C4—434no—
2236C4⋊C4—434no—
2237C4⋊C4—434no—
2238C4⋊C4—434no—
2239C4⋊C4—432no—
2240C4⋊C4—432no—
2241C4⋊C4—431no—
2242C4⋊C4—431no—
2243C4⋊C4—432no—
2244C4⋊C4—432no—
2245C4⋊C4—432no—
2246C4⋊C4—432no—
2247C4⋊C4—432no—
2248C4⋊C4—432no—
2249C4⋊C4—432no—
2250C4⋊C4—432no—
2251C4⋊C4—434no—
2252C4⋊C4—434no—
2253C4⋊C4—434no—
2254C4⋊C4—434no—
2255C4⋊C4—434no—
2256C4⋊C4—434no—
2257C4⋊C4—432no—
2258C4⋊C4—432no—
2259C4⋊C4—432no—
2260C4⋊C4—431no—
2261C4⋊C4—432no—
2262C4⋊C4—431no—
2263C4⋊C4—432no—
2264C4⋊C4—434no—
2265C4⋊C4—432no—
2266C4⋊C4—432no—
2267C4⋊C4—434no—
2268C4⋊C4—434no—
2269C4⋊C4—432no—
2270C4⋊C4—432no—
2271C4⋊C4—432no—
2272C4⋊C4—432no—
2273C4⋊C4—432no—
2274C4⋊C4—432no—
2275C4⋊C4—432no—
2276C4⋊C4—432no—
2277C4⋊C4—434no—
2278C4⋊C4—434no—
2279C4⋊C4—434no—
2280C4⋊C4—434no—
2281C4⋊C4C23×D4312yes—
2282C4⋊C4C23×D4312yes—
2283C4⋊C4C23×D4312yes—
2284C4⋊C4C23×D4312yes—
2285C4⋊C4C23×D4314yes—
2286C4⋊C4C23×D4314yes—
2287C4⋊C4C23×D4314yes—
2288C4⋊C4C23×D4314yes—
2289C4⋊C4C23×D4314yes—
2290C4⋊C4C23×D4314yes—
2291C4⋊C4C23×D4312yes—
2292C4⋊C4C23×D4312yes—
2293C22⋊C4—432no—
2294C22⋊C4—432no—
2295C22⋊C4—434no—
2296C22⋊C4—432no—
2297C22⋊C4—432no—
2298C22⋊C4—434no—
2299C22⋊C4—434no—
2300C22⋊C4—432no—
2301C22⋊C4—432no—
2302C22⋊C4—434no—
2303C22⋊C4—434no—
2304C22⋊C4—432no—
2305C22⋊C4—432no—
2306C22⋊C4—432no—
2307C22⋊C4—432no—
2308C22⋊C4—434no—
2309C22⋊C4—432no—
2310C22⋊C4—432no—
2311C22⋊C4—432no—
2312C22⋊C4—432no—
2313C22⋊C4—432no—
2314C22⋊C4—432no—
2315C22⋊C4—432no—
2316C22⋊C4—432no—
2317C22⋊C4—432no—
2318C22⋊C4—434no—
2319C22⋊C4—434no—
2320C22⋊C4—434no—
2321C22⋊C4—434no—
2322C22⋊C4—432no—
2323C22⋊C4—432no—
2324C22⋊C4—432no—
2325C22⋊C4—432no—
2326C22⋊C4—432no—
2327C22⋊C4—432no—
2328C22⋊C4—432no—
2329C22⋊C4—432no—
2330C22⋊C4—432no—
2331C22⋊C4—434no—
2332C22⋊C4—432no—
2333C22⋊C4—434no—
2334C22⋊C4—434no—
2335C22⋊C4—432no—
2336C22⋊C4—432no—
2337C22⋊C4—432no—
2338C22⋊C4—434no—
2339C22⋊C4—434no—
2340C22⋊C4—432no—
2341C22⋊C4—432no—
2342C22⋊C4—432no—
2343C22⋊C4—432no—
2344C22⋊C4—434no—
2345C22⋊C4—432no—
2346C22⋊C4—432no—
2347C22⋊C4—434no—
2348C22⋊C4—434no—
2349C22⋊C4C23×D4314yes—
2350C22⋊C4C23×D4314yes—
2351C22⋊C4C23×D4314yes—
2352C22⋊C4C23×D4314yes—
2353C22⋊C4C23×D4314yes—
2354C22⋊C4C23×D4314yes—
2355C22⋊C4C23×D4314yes—
2356C22⋊C4C23×D4314yes—
2357C22⋊C4C23×D4314yes—
2358C42—432no—
2359C42—432no—
2360C42—432no—
2361C42—432no—
2362C42—432no—
2363C42—432no—
2364C42—432no—
2365C42—432no—
2366C42—432no—
2367C42—432no—
2368C42—434no—
2369C42—434no—
2370C42—434no—
2371C42—434no—
2372C42—434no—
2373C42—434no—
2374C42C23×D4311yescharacteristic
2375C42C23×D4311yescharacteristic
2376C42C23×D4311yescharacteristic
2377C42C23×D4311yescharacteristic
2378C42C23×D4311yescharacteristic
2379C42C23×D4311yescharacteristic
2380C42C23×D4311yescharacteristic
2381C42C23×D4311yescharacteristic
2382C42C23×D4311yescharacteristic
2383C42C23×D4311yescharacteristic
2384C42C23×D4311yescharacteristic
2385C42C23×D4311yescharacteristic
2386C42C23×D4311yescharacteristic
2387C42C23×D4311yescharacteristic
2388C42C23×D4311yescharacteristic
2389C42C23×D4311yescharacteristic
2390C42C23×D4314yes—
2391C42C23×D4314yes—
2392C42C23×D4314yes—
2393C23—22no—
2394C23—41no—
2395C23—41no—
2396C23—432no—
2397C23—432no—
2398C23—432no—
2399C23—432no—
2400C23—864no—
2401C23—1722no—
2402C23—1722no—
2403C23—1724no—
2404C23—1724no—
2405C23—1724no—
2406C23C24×D4311yescharacteristic
2407C23C24×D4311yescharacteristic
2408C23C24×D4314yes—
2409C23C24×D4311yescharacteristic
2410Q8—24no—
2411Q8—24no—
2412Q8—42no—
2413Q8—862no—
2414Q8—862no—
2415Q8—862no—
2416Q8—862no—
2417Q8—1722no—
2418Q8—1724no—
2419Q8—1724no—
2420Q8—1722no—
2421Q8—1722no—
2422Q8—1724no—
2423D4—28no—
2424D4—24no—
2425D4—24no—
2426D4—42no—
2427D4—44no—
2428D4—44no—
2429D4—864no—
2430D4—864no—
2431D4—862no—
2432D4—862no—
2433D4—862no—
2434D4—862no—
2435D4—1722no—
2436D4—1724no—
2437D4—1722no—
2438D4—1722no—
2439D4—1724no—
2440D4—1724no—
2441D4—1722no—
2442D4—1722no—
2443D4—1724no—
2444D4—1722no—
2445D4—1722no—
2446D4—1724no—
2447D4—1724no—
2448D4—1722no—
2449D4—1724no—
2450D4—1722no—
2451D4—1722no—
2452D4—1724no—
2453D4—1724no—
2454D4—1722no—
2455C2×C4—22no—
2456C2×C4—22no—
2457C2×C4—22no—
2458C2×C4—22no—
2459C2×C4—22no—
2460C2×C4—22no—
2461C2×C4—22no—
2462C2×C4—22no—
2463C2×C4—41no—
2464C2×C4—41no—
2465C2×C4—41no—
2466C2×C4—41no—
2467C2×C4—41no—
2468C2×C4—41no—
2469C2×C4—41no—
2470C2×C4—41no—
2471C2×C4—41no—
2472C2×C4—41no—
2473C2×C4—44no—
2474C2×C4—44no—
2475C2×C4—44no—
2476C2×C4—432no—
2477C2×C4—432no—
2478C2×C4—432no—
2479C2×C4—432no—
2480C2×C4—432no—
2481C2×C4—432no—
2482C2×C4—432no—
2483C2×C4—432no—
2484C2×C4—432no—
2485C2×C4—432no—
2486C2×C4—432no—
2487C2×C4—432no—
2488C2×C4—864no—
2489C2×C4—864no—
2490C2×C4—864no—
2491C2×C4—864no—
2492C2×C4—864no—
2493C2×C4—1722no—
2494C2×C4—1722no—
2495C2×C4—1724no—
2496C2×C4—1724no—
2497C2×C4—1724no—
2498C2×C4—1722no—
2499C2×C4—1722no—
2500C2×C4—1722no—
2501C2×C4—1722no—
2502C2×C4—1724no—
2503C2×C4—1724no—
2504C2×C4—1724no—
2505C2×C4—1722no—
2506C2×C4—1722no—
2507C2×C4—1724no—
2508C2×C4—1724no—
2509C2×C4—1724no—
2510C2×C4C24×D4311yescharacteristic
2511C2×C4C24×D4311yescharacteristic
2512C2×C4C24×D4311yescharacteristic
2513C2×C4C24×D4314yes—
2514C2×C4C24×D4314yes—
2515C2×C4C24×D4314yes—
2516C2×C4C24×D4311yescharacteristic
2517C2×C4C24×D4311yescharacteristic
2518C2×C4C24×D4311yescharacteristic
2519C2×C4C24×D4311yescharacteristic
2520C2×C4C24×D4311yescharacteristic
2521C2×C4C24×D4311yescharacteristic
2522C2×C4C24×D4311yescharacteristic
2523C2×C4C24×D4311yescharacteristic
2524C2×C4C24×D4311yescharacteristic
2525C22—21no—
2526C22—21no—
2527C22—21no—
2528C22—21no—
2529C22—21no—
2530C22—21no—
2531C22—21no—
2532C22—21no—
2533C22—24no—
2534C22—24no—
2535C22—24no—
2536C22—44no—
2537C22—862no—
2538C22—862no—
2539C22—862no—
2540C22—862no—
2541C22—862no—
2542C22—862no—
2543C22—862no—
2544C22—862no—
2545C22—862no—
2546C22—862no—
2547C22—862no—
2548C22—862no—
2549C22—3444no—
2550C22—6884no—
2551C22#1458373512yes—
2552C22C25×D4311yescharacteristic
2553C4—21no—
2554C4—21no—
2555C4—21no—
2556C4—21no—
2557C4—21no—
2558C4—21no—
2559C4—21no—
2560C4—21no—
2561C4—21no—
2562C4—21no—
2563C4—24no—
2564C4—24no—
2565C4—24no—
2566C4—862no—
2567C4—862no—
2568C4—862no—
2569C4—862no—
2570C4—862no—
2571C4—862no—
2572C4—862no—
2573C4—862no—
2574C4—862no—
2575C4—862no—
2576C4—862no—
2577C4—862no—
2578C4#1458373512yes—
2579C4#1458373512yes—
2580C2—22no—
2581C2—41no—
2582C2—41no—
2583C2—44no—
2584C2—1722no—
2585C2—1722no—
2586C2—1722no—
2587C2—1722no—
2588C2C2×#1458373511yescharacteristic
2589C2C2×#1458373511yescharacteristic
2590C2C2×#1458373511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3444C2
hypercenter#3444D43
hypocenterC43#62827
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #19149271C2semidirect
2. #19149263C2semidirect
3. #19149232C2semidirect
4. #19149175C2semidirect
5. #19149077C2semidirect
6. #19149060C2semidirect
7. #19148978C2semidirect
8. #19148961C2semidirect
9. #19148903C2semidirect
10. #19148880C2semidirect
11. #19148759C2semidirect
12. #19148704C2semidirect
13. #19148704C2semidirect
14. #19148683C2semidirect
15. #19148672C2semidirect
16. #19148663C2semidirect
17. #19148663C2semidirect
18. #19148663C2semidirect
19. #19148639C2semidirect
20. #19148622C2semidirect
21. #19148604C2semidirect
22. #19148593C2semidirect
23. #19148568C2semidirect
24. #19148561C2semidirect
25. #19148551C2semidirect
26. #19148544C2semidirect
27. #19148510C2semidirect
28. #19148484C2semidirect
29. #19148438C2semidirect
30. #19148423C2semidirect
31. #19148335C2semidirect
32. #19148318C2semidirect
33. #19147891C2semidirect
34. C2×#14583433C2semidirect
35. C43×#3444C2semidirect
36. #14583652C22semidirect
37. #14583650C22semidirect
38. #14583646C22semidirect
39. #14583646C22semidirect
40. #14583645C22semidirect
41. #14583644C22semidirect
42. #14583639C22semidirect
43. #14583637C22semidirect
44. #14583635C22semidirect
45. #14583633C22semidirect
46. #14583632C22semidirect
47. #14583632C22semidirect
48. #14583632C22semidirect
49. #14583632C22semidirect
50. #14583629C22semidirect
51. #14583625C22semidirect
52. #14583625C22semidirect
53. #14583624C22semidirect
54. #14583624C22semidirect
55. #14583623C22semidirect
56. #14583623C22semidirect
57. #14583621C22semidirect
58. #14583621C22semidirect
59. #14583621C22semidirect
60. #14583620C22semidirect
61. #14583617C22semidirect
62. #14583617C22semidirect
63. #14583617C22semidirect
64. #14583616C22semidirect
65. #14583615C22semidirect
66. #14583613C22semidirect
67. #14583612C22semidirect
68. #14583612C22semidirect
69. #14583612C22semidirect
70. #14583612C22semidirect
71. #14583610C22semidirect
72. #14583610C22semidirect
73. #14583608C22semidirect
74. #14583608C22semidirect
75. #14583608C22semidirect
76. #14583607C22semidirect
78. #14583600C22semidirect
79. #14583599C22semidirect
80. #14583599C22semidirect
81. #14583599C22semidirect
82. #14583599C22semidirect
83. #14583598C22semidirect
84. #14583598C22semidirect
85. #14583598C22semidirect
86. #14583598C22semidirect
87. #14583596C22semidirect
88. #14583594C22semidirect
89. #14583594C22semidirect
91. #14583593C22semidirect
92. #14583593C22semidirect
93. #14583591C22semidirect
94. #14583590C22semidirect
95. #14583590C22semidirect
96. #14583590C22semidirect
97. #14583588C22semidirect
98. #14583588C22semidirect
99. #14583588C22semidirect
100. #14583588C22semidirect
101. #14583586C22semidirect
102. #14583585C22semidirect
103. #14583583C22semidirect
104. #14583582C22semidirect
105. #14583582C22semidirect
106. #14583582C22semidirect
107. #14583582C22semidirect
108. #14583578C22semidirect
109. #14583578C22semidirect
110. #14583578C22semidirect
111. #14583578C22semidirect
112. #14583577C22semidirect
113. #14583574C22semidirect
114. #14583573C22semidirect
115. #14583573C22semidirect
116. #14583573C22semidirect
117. #14583573C22semidirect
118. #14583572C22semidirect
119. #14583569C22semidirect
120. #14583569C22semidirect
121. #14583568C22semidirect
122. #14583568C22semidirect
123. #14583567C22semidirect
124. #14583564C22semidirect
125. #14583564C22semidirect
126. #14583562C22semidirect
127. #14583561C22semidirect
128. #14583561C22semidirect
129. #14583559C22semidirect
130. #14583556C22semidirect
131. #14583556C22semidirect
132. #14583555C22semidirect
133. #14583552C22semidirect
134. #14583552C22semidirect
135. #14583551C22semidirect
136. #14583549C22semidirect
137. #14583548C22semidirect
138. #14583548C22semidirect
139. #14583548C22semidirect
140. #14583547C22semidirect
141. #14583546C22semidirect
142. #14583544C22semidirect
143. #14583544C22semidirect
144. #14583544C22semidirect
145. #14583541C22semidirect
149. #14583537C22semidirect
150. #14583534C22semidirect
152. #14583529C22semidirect
153. #14583529C22semidirect
155. #14583521C22semidirect
156. #14583521C22semidirect
157. #14583521C22semidirect
158. #14583519C22semidirect
159. #14583518C22semidirect
160. #14583518C22semidirect
161. #14583516C22semidirect
162. #14583515C22semidirect
163. #14583514C22semidirect
164. #14583514C22semidirect
165. #14583514C22semidirect
166. #14583514C22semidirect
167. #14583513C22semidirect
168. #14583512C22semidirect
169. #14583509C22semidirect
170. #14583508C22semidirect
171. #14583507C22semidirect
172. #14583507C22semidirect
173. #14583507C22semidirect
174. #14583506C22semidirect
175. #14583505C22semidirect
176. #14583502C22semidirect
177. #14583500C22semidirect
178. #14583500C22semidirect
179. #14583500C22semidirect
180. #14583500C22semidirect
181. #14583499C22semidirect
182. #14583497C22semidirect
183. #14583495C22semidirect
184. #14583491C22semidirect
185. #14583491C22semidirect
186. #14583491C22semidirect
187. #14583491C22semidirect
188. #14583490C22semidirect
189. #14583488C22semidirect
190. #14583484C22semidirect
191. #14583484C22semidirect
192. #14583483C22semidirect
193. #14583482C22semidirect
194. #14583482C22semidirect
195. #14583482C22semidirect
196. #14583482C22semidirect
197. #14583481C22semidirect
198. #14583479C22semidirect
199. #14583478C22semidirect
200. #14583472C22semidirect
201. #14583469C22semidirect
202. #14583467C22semidirect
204. #14583464C22semidirect
205. #14583459C22semidirect
206. #14583456C22semidirect
207. #14583456C22semidirect
208. #14583456C22semidirect
209. #14583455C22semidirect
210. #14583451C22semidirect
212. #14583449C22semidirect
213. #14583449C22semidirect
214. #14583448C22semidirect
215. #14583444C22semidirect
217. #14583434C22semidirect
218. #14583434C22semidirect
224. #14583433C22semidirect
225. #14583433C22semidirect
226. #14583433C22semidirect
227. #14583433C22semidirect
228. #14583433C22semidirect
229. #14583433C22semidirect
230. #14583433C22semidirect
231. #14583433C22semidirect
232. #14583433C22semidirect
233. #14583433C22semidirect
234. #14583433C22semidirect
235. #14583433C22semidirect
236. #14583433C22semidirect
237. #14583433C22semidirect
238. #14583433C22semidirect
239. #14583433C22semidirect
240. #14583433C22semidirect
241. #14583433C22semidirect
242. #14583430C22semidirect
243. #14583428C22semidirect
244. #14583428C22semidirect
245. C2×#13063319C22semidirect
246. C2×#13063319C22semidirect
247. C2×#13063317C22semidirect
248. #125×D43C22semidirect
250. #124×D43C22semidirect
251. #14583412C22semidirect
253. #14583410C22semidirect
254. #14583410C22semidirect
255. #14583410C22semidirect
257. C2×#13063308C22semidirect
258. C2×#13063304C22semidirect
259. C22⋊Q8×D43C22semidirect
262. #14583381C22semidirect
263. #14583381C22semidirect
264. #14583378C22semidirect
265. #14583378C22semidirect
266. #14583378C22semidirect
267. #14583375C22semidirect
268. #14583375C22semidirect
269. #14583371C22semidirect
270. #14583371C22semidirect
271. #14583371C22semidirect
272. C4×#10621898C22semidirect
273. C4×#10621898C22semidirect
274. C4×#10621898C22semidirect
275. C4×#10621898C22semidirect
276. C2×C4×Dic86C22semidirect
278. C2×C4×C22⋊D43C22semidirect
279. C2×#13063282C22semidirect
280. C43×#533C22semidirect
281. C43×#533C22semidirect
282. C43×#533C22semidirect
284. C43×#532C22semidirect
285. C43×#532C22semidirect
286. C43×#529C22semidirect
287. C43×#529C22semidirect
288. C43×#529C22semidirect
289. C43×#529C22semidirect
290. C43×#529C22semidirect
291. C43×#529C22semidirect
292. C43×#525C22semidirect
293. C43×#525C22semidirect
294. C43×#525C22semidirect
295. C4×#41×C43C22semidirect
296. C4×#41×C43C22semidirect
297. C4×#41×C43C22semidirect
298. C22×C42×C43C22semidirect
1318. #3444D43semidirect
1506. #533C2×D43semidirect
1507. #533C2×D43semidirect
1508. #533C2×D43semidirect
1515. #532C2×D43semidirect
1516. #532C2×D43semidirect
1546. #529C2×D43semidirect
1547. #529C2×D43semidirect
1548. #529C2×D43semidirect
1549. #529C2×D43semidirect
1550. #529C2×D43semidirect
1551. #529C2×D43semidirect
1564. #525C2×D43semidirect
1565. #525C2×D43semidirect
1566. #525C2×D43semidirect
1586. C4×#41C2×D43semidirect
1587. C4×#41C2×D43semidirect
1588. C4×#41C2×D43semidirect
1593. C22×C42C2×D43semidirect
1594. C43#62827semidirect

Maximal subgroups

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

subgroupindex
#191492712
#191492632
#191492322
#191491752
#191490772
#191490602
#191489782
#191489612
#191489032
#191488802
#191487592
#191487042
#191486832
#191486722
#191486632
#191486392
#191486222
#191486042
#191485932
#191485682
#191485612
#191485512
#191485442
#191485102
#191484842
#191484382
#191484232
#191483352
#191483182
#191478912
C2×#145834332
C43×#34442
#6282743