Finite Group Databasebeta

← #31763672

Subgroups — #31763672

Order 17152.

6518 conjugacy classes of subgroups.

The subgroup lattice has 2538 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574716C212yesmaximal, complemented
2#22574710C212yesmaximal, complemented
3#22574701C211yesmaximal, characteristic, complemented
4#22574700C211yesmaximal, characteristic, complemented
5#22574698C211yesmaximal, characteristic, complemented
6#22574689C212yesmaximal, complemented
7#22574683C211yesmaximal, characteristic, complemented
8#22574681C211yesmaximal, characteristic, complemented
9#22574672C212yesmaximal, complemented
10#22574661C214yesmaximal, complemented
11#22574652C212yesmaximal, complemented
12#22574644C212yesmaximal, complemented
13#22574616C211yesmaximal, characteristic, complemented
14#22574615C211yesmaximal, characteristic, complemented
15#22574608C211yesmaximal, characteristic, complemented
16#22574507C212yesmaximal, complemented
17#22574503C212yesmaximal, complemented
18#22574495C214yesmaximal, complemented
19#22574356C214yesmaximal, complemented
20#22573827C212yesmaximal, complemented
21#22573826C212yesmaximal, complemented
22#22573804C211yesmaximal, characteristic, complemented
23#22573802C212yesmaximal, complemented
24#22573802C211yesmaximal, characteristic, complemented
25#22573787C212yesmaximal, complemented
26#22573787C211yesmaximal, characteristic, complemented
27#22573642C212yesmaximal, complemented
28#22573640C214yesmaximal, complemented
29#22573640C212yesmaximal, complemented
30#22573601C212yesmaximal, complemented
31#22573594C212yesmaximal, complemented
32#22573506C211yesmaximal, characteristic, complemented
33#22573502C211yesmaximal, characteristic, complemented
34C2×#16863950C211yesmaximal, characteristic, complemented
35Q8×#41×C67C211yesmaximal, characteristic, complemented
36C67⋊#564C2214yescomplemented
37#16864150C2214yes—
38#16864150C2214yescomplemented
39#16864147C2214yes—
40#16864147C2214yescomplemented
41#16864147C2214yescomplemented
42#16864147C2214yescomplemented
43#16864145C2214yes—
44#16864145C2214yes—
45#16864145C2214yescomplemented
46#16864145C2214yescomplemented
47#16864144C2214yes—
48#16864142C2214yes—
49#16864142C2214yes—
50#16864142C2214yes—
51#16864142C2214yescomplemented
52#16864131C2211yescharacteristic, complemented
53#16864131C2211yescharacteristic, complemented
54#16864131C2212yescomplemented
55#16864131C2212yescomplemented
56#16864129C2212yescomplemented
57#16864129C2212yescomplemented
58#16864129C2212yescomplemented
59#16864126C2211yescharacteristic, complemented
60#16864126C2212yescomplemented
61#16864125C2211yescharacteristic, complemented
62#16864124C2212yescomplemented
63#16864124C2211yescharacteristic, complemented
64#16864123C2212yescomplemented
65#16864123C2212yescomplemented
66#16864123C2212yescomplemented
67#16864122C2212yescomplemented
68#16864121C2212yescomplemented
69#16864121C2211yescharacteristic, complemented
70#16864121C2212yescomplemented
71#16864120C2212yes—
72#16864119C2211yescharacteristic, complemented
73#16864119C2212yescomplemented
74#16864118C2214yes—
75#16864118C2212yescomplemented
76#16864118C2212yescomplemented
77#16864118C2212yescomplemented
78#16864118C2212yescomplemented
79#16864117C2212yes—
80#16864117C2212yescomplemented
81#16864116C2211yescharacteristic, complemented
82#16864116C2212yescomplemented
83#16864107C2211yescharacteristic, complemented
84#16864107C2212yescomplemented
85#16864104C2212yes—
86#16864104C2214yes—
87#16864102C2212yescomplemented
88#16864102C2212yescomplemented
89#16864102C2212yescomplemented
90#16864100C2214yes—
91#16864100C2214yes—
92#16864100C2214yes—
93#16864095C2214yes—
94#16864095C2214yes—
95#16864095C2214yes—
96#16864094C2212yes—
97#16864094C2214yes—
98#16864092C2212yes—
99#16864092C2214yes—
100#16864087C2212yes—
101#16864087C2214yescomplemented
102#16864081C2212yes—
103#16864081C2214yescomplemented
104#16864080C2214yescomplemented
105#16864078C2214yes—
106#16864078C2214yescomplemented
107#16864068C2211yescharacteristic, complemented
108#16864067C2212yescomplemented
109#16864067C2211yescharacteristic, complemented
110#16864061C2212yescomplemented
111#16864061C2212yescomplemented
112#16864061C2211yescharacteristic, complemented
113Q8×C22⋊D67C2212yescomplemented
114#16864059C2214yes—
115#16864059C2212yes—
116#16864058C2212yes—
117#16864057C2212yes—
118#16864057C2212yes—
119#16864056C2214yes—
120#16864055C2214yes—
121#16864055C2212yes—
122#16864049C2212yes—
123#16864048C2212yes—
124#16864048C2212yescomplemented
125#16864047C2214yes—
126#16864047C2212yescomplemented
127#16864027C2212yescomplemented
128#16864023C2212yescomplemented
129#16864023C2214yescomplemented
130#16864020C2212yes—
131#16864020C2212yes—
132#16864020C2212yes—
133#16864020C2212yes—
134#16864020C2212yes—
135#16864020C2214yes—
136#16864019C2214yes—
137#16864019C2212yescomplemented
138#16864018C2212yes—
139#16864018C2212yes—
140#16864018C2212yes—
141#16864018C2214yes—
142#16864018C2212yescomplemented
143#16864016C2214yes—
144#16864016C2214yes—
145#16864016C2214yescomplemented
146#16864011C2212yes—
147#16864011C2212yes—
148#16864009C2212yes—
149#16864009C2212yes—
150#16864007C2212yes—
151#16864007C2214yescomplemented
152#16864006C2212yescomplemented
153#16864006C2214yescomplemented
154#16864005C2214yes—
155#16864005C2214yescomplemented
156#16864005C2214yescomplemented
157#16864004C2212yes—
158#16864004C2212yes—
159#16864004C2212yes—
160#16864004C2212yescomplemented
161#16864004C2214yescomplemented
162#16864002C2212yes—
163#16864002C2212yes—
164#16863997C2212yes—
165#16863997C2212yes—
166#16863995C2214yes—
167#16863995C2214yes—
168#16863994C2214yes—
169#16863994C2214yes—
170#16863994C2214yescomplemented
171#16863993C2214yes—
172#16863993C2214yescomplemented
173#16863992C2214yes—
174#16863992C2214yescomplemented
175#16863992C2214yescomplemented
176#16863988C2214yes—
177#16863988C2214yes—
178#16863986C2214yes—
179#16863986C2214yes—
180#16863979C2214yes—
181#16863979C2214yes—
182#16863977C2212yes—
183#16863976C2214yes—
184#16863976C2212yes—
185#16863971C2214yes—
186#16863971C2212yescomplemented
187#16863970C2212yes—
188#16863970C2212yescomplemented
189#16863969C2212yes—
190#16863969C2214yescomplemented
191#16863951C2211yescharacteristic
192#16863951C2211yescharacteristic
193#16863950C2211yescharacteristic
194#16863950C2211yescharacteristic
195#16863950C2211yescharacteristic
196#16863950C2212yes—
197#16863950C2211yescharacteristic
198#16863950C2211yescharacteristic
199#16863950C2211yescharacteristic
200#16863950C2212yes—
201#16863950C2211yescharacteristic
202#16863950C2212yes—
203#16863950C2211yescharacteristic
204#16863950C2211yescharacteristic
205#16863950C2211yescharacteristic
206#16863950C2212yes—
207#16863950C2214yescomplemented
208#16863950C2212yescomplemented
209#16863950C2214yescomplemented
210#16863950C2214yescomplemented
211#16863950C2214yescomplemented
212#16863949C2212yes—
213#16863949C2211yescharacteristic
214#16863947C2211yescharacteristic
215#16863947C2211yescharacteristic
216#16863946C2212yes—
217#16863946C2211yescharacteristic
218#16863943C2211yescharacteristic
219#16863943C2211yescharacteristic
220#16863942C2212yes—
221#16863942C2211yescharacteristic
222C2×#14524042C2211yescharacteristic
223C2×#14524041C2211yescharacteristic
224#16863933C2214yes—
225#16863933C2214yes—
226#16863933C2212yes—
227#16863933C2214yes—
228#16863933C2214yes—
229#16863933C2212yes—
230#16863933C2211yescharacteristic
231#16863933C2211yescharacteristic
232#16863933C2212yescomplemented
233#16863933C2214yescomplemented
234#16863932C2212yes—
235#16863932C2212yes—
236#16863931C2212yes—
237#16863931C2212yes—
238#16863930C2214yes—
239#16863930C2214yes—
240#16863930C2212yescomplemented
241#16863930C2214yescomplemented
242#16863928C2211yescharacteristic
243#16863928C2211yescharacteristic
244#16863926C2212yes—
245#16863926C2212yes—
246#16863924C2214yes—
247#16863924C2212yes—
248#16863924C2214yes—
249#16863924C2212yes—
250#16863924C2214yescomplemented
251#16863924C2214yescomplemented
252#16863924C2214yescomplemented
253C2×#14524033C2212yes—
254#16863909C2212yes—
255#16863909C2212yes—
256#16863908C2212yes—
257#16863908C2211yescharacteristic
258#16863905C2212yes—
259#16863905C2212yes—
260#16863903C2211yescharacteristic
261C2×#14524023C2211yescharacteristic
262C2×#14524021C2212yes—
263C2×#14524019C2211yescharacteristic
264C4×#11761629C2212yes—
265C4×#11761629C2212yes—
266C4×#11761629C2212yescomplemented
267C4×#11761628C2212yes—
268C4×#11761628C2212yes—
269C4×#11761628C2212yes—
270C4×#11761628C2211yescharacteristic
271C4×#11761628C2214yescomplemented
272C4×#11761628C2212yescomplemented
273#16863864C2212yes—
274#16863864C2212yes—
275#16863864C2212yes—
276C2×C4×Dic134C2211yescharacteristic
277C2×C4×Dic134C2212yes—
278C4×Q8×D67C2212yescomplemented
279C4×Q8×D67C2214yescomplemented
280C2×#14524000C2212yes—
281C2×C42×D67C2211yescharacteristic
282Q82×C67C2211yescharacteristic, complemented
283#557×C67C2211yescharacteristic, complemented
284#557×C67C2212yescomplemented
285#554×C67C2212yes—
286#554×C67C2214yes—
287#554×C67C2211yescharacteristic, complemented
288#554×C67C2212yescomplemented
289D4×Q8×C67C2212yes—
290D4×Q8×C67C2211yescharacteristic, complemented
291#533×C67C2212yes—
292#533×C67C2211yescharacteristic
293#533×C67C2212yescomplemented
294#533×C67C2214yescomplemented
295C4×#41×C67C2212yes—
296C4×#41×C67C2211yescharacteristic
297C2×C4×Q8×C67C2211yescharacteristic
298C2×C4×Q8×C67C2212yescomplemented
299C2×#11761629C2312yes—
300C2×#11761629C2312yes—
301C2×#11761629C2312yes—
302C2×#11761628C2311yescharacteristic
303C2×#11761628C2312yes—
304C2×#11761628C2312yes—
305C2×#11761628C2314yes—
306C2×#11761628C2312yes—
307C2×#11761628C2312yes—
308C22×Dic134C2312yes—
309C22×Dic134C2311yescharacteristic
310C2×Q8×D67C2314yes—
311C2×Q8×D67C2312yes—
312C22×C4×D67C2311yescharacteristic
313C22×C4×D67C2311yescharacteristic
314C22×C4×D67C2311yescharacteristic
315#14524043C2312yes—
316#14524043C2311yescharacteristic
317#14524042C2314yes—
318#14524042C2312yes—
319#14524042C2314yes—
320#14524042C2312yes—
321#14524042C2312yes—
322#14524042C2314yes—
323#14524042C2312yes—
324#14524042C2311yescharacteristic
325#14524042C2314yes—
326#14524042C2311yescharacteristic
327#14524042C2311yescharacteristic
328#14524042C2311yescharacteristic
329#14524042C2311yescharacteristic
330#14524042C2311yescharacteristic
331#14524042C2312yes—
332#14524041C2312yes—
333#14524041C2312yes—
334#14524041C2311yescharacteristic
335#14524041C2314yes—
336#14524041C2311yescharacteristic
337#14524041C2314yes—
338#14524041C2314yes—
339#14524041C2314yes—
340#14524041C2312yes—
341#14524041C2311yescharacteristic
342#14524041C2311yescharacteristic
343#14524041C2311yescharacteristic
344#14524041C2312yes—
345#14524040C2312yes—
346#14524040C2311yescharacteristic
347#14524039C2311yescharacteristic
348#14524039C2312yes—
349#14524038C2314yes—
350#14524038C2314yes—
351#14524038C2314yes—
352#14524038C2314yes—
353#14524038C2314yes—
354#14524038C2314yes—
355#14524038C2314yes—
356#14524038C2314yes—
357#14524038C2314yes—
358#14524038C2314yes—
359#14524038C2314yes—
360#14524038C2312yes—
361#14524038C2314yes—
362#14524038C2314yes—
363#14524038C2314yes—
364#14524038C2314yes—
365#14524038C2314yes—
366#14524038C2314yes—
367#14524038C2312yes—
368#14524038C2314yes—
369#14524037C2314yes—
370#14524037C2314yes—
371#14524037C2314yes—
372#14524037C2314yes—
373#14524037C2314yes—
374#14524037C2314yes—
375#14524037C2314yes—
376#14524036C2314yes—
377#14524036C2312yes—
378#14524036C2314yes—
379#14524036C2314yes—
380#14524036C2314yes—
381#14524036C2314yes—
382#14524036C2312yes—
383#14524035C2314yes—
384#14524035C2314yes—
385#14524035C2314yes—
386#14524035C2312yes—
387#14524034C2312yes—
388#14524034C2312yes—
389#14524034C2312yes—
390#14524034C2314yes—
391#14524034C2312yes—
392#14524034C2314yes—
393#14524034C2314yes—
394#14524034C2314yes—
395#14524034C2314yes—
396#14524034C2311yescharacteristic
397#14524034C2311yescharacteristic
398#14524034C2312yes—
399#14524033C2314yes—
400#14524033C2314yes—
401#14524033C2314yes—
402#14524033C2312yes—
403#14524033C2314yes—
404#14524033C2314yes—
405#14524033C2314yes—
406#14524033C2314yes—
407#14524033C2314yes—
408#14524033C2312yes—
409#14524033C2312yes—
410#14524033C2314yes—
411#14524033C2314yes—
412#14524033C2312yes—
413#14524033C2314yes—
414#14524033C2314yes—
415#14524033C2314yes—
416#14524033C2312yes—
417#14524033C2314yes—
418#14524033C2312yes—
419#14524033C2312yes—
420#14524033C2312yes—
421#14524033C2312yes—
422#14524033C2312yes—
423#14524032C2314yes—
424#14524032C2314yes—
425#14524032C2314yes—
426#14524032C2312yes—
427#14524032C2312yes—
428#14524032C2312yes—
429#14524032C2314yes—
430#14524032C2314yes—
431#14524032C2311yescharacteristic
432#14524032C2312yes—
433#14524031C2314yes—
434#14524031C2314yes—
435#14524031C2314yes—
436#14524031C2312yes—
437#14524031C2312yes—
438#14524031C2312yes—
439#14524031C2312yes—
440#14524030C2312yes—
441#14524030C2311yescharacteristic
442#14524029C2314yes—
443#14524029C2314yes—
444#14524029C2314yes—
445#14524029C2314yes—
446#14524029C2312yes—
447#14524029C2314yes—
448#14524029C2312yes—
449#14524028C2314yes—
450#14524028C2314yes—
451#14524028C2314yes—
452#14524028C2314yes—
453#14524028C2314yes—
454#14524028C2314yes—
455#14524028C2314yes—
456#14524028C2314yes—
457#14524028C2314yes—
458#14524028C2314yes—
459#14524028C2312yes—
460#14524028C2314yes—
461#14524028C2314yes—
462#14524028C2314yes—
463#14524028C2314yes—
464#14524028C2314yes—
465#14524028C2314yes—
466#14524028C2314yes—
467#14524028C2314yes—
468#14524028C2312yes—
469#14524027C2312yes—
470#14524027C2314yes—
471#14524026C2314yes—
472#14524026C2314yes—
473#14524026C2314yes—
474#14524026C2314yes—
475#14524026C2314yes—
476#14524026C2314yes—
477#14524026C2314yes—
478#14524025C2312yes—
479#14524025C2314yes—
480#14524025C2314yes—
481#14524025C2314yes—
482#14524025C2314yes—
483#14524025C2314yes—
484#14524025C2312yes—
485#14524024C2312yes—
486#14524023C2311yescharacteristic
487#14524023C2312yes—
488#14524023C2312yes—
489#14524023C2312yes—
490#14524023C2314yes—
491#14524023C2311yescharacteristic
492#14524023C2311yescharacteristic
493#14524023C2312yes—
494#14524023C2314yes—
495#14524023C2314yes—
496#14524023C2311yescharacteristic
497#14524023C2314yes—
498#14524023C2311yescharacteristic
499#14524023C2311yescharacteristic
500#14524023C2312yes—
501#14524022C2314yes—
502#14524022C2312yes—
503#14524022C2314yes—
504#14524022C2314yes—
505#14524021C2312yes—
506#14524021C2312yes—
507#14524021C2314yes—
508#14524021C2314yes—
509#14524021C2314yes—
510#14524021C2314yes—
511#14524021C2312yes—
512#14524021C2312yes—
513#14524021C2314yes—
514#14524021C2314yes—
515#14524021C2314yes—
516#14524021C2314yes—
517#14524021C2312yes—
518#14524021C2314yes—
519#14524021C2314yes—
520#14524021C2314yes—
521#14524021C2314yes—
522#14524021C2314yes—
523#14524021C2314yes—
524#14524021C2312yes—
525#14524021C2312yes—
526#14524021C2312yes—
527#14524021C2312yes—
528#14524021C2312yes—
529#14524020C2312yes—
530#14524020C2314yes—
531#14524020C2314yes—
532#14524020C2312yes—
533#14524019C2311yescharacteristic
534#14524019C2311yescharacteristic
535#14524019C2312yes—
536#14524019C2314yes—
537#14524019C2312yes—
538#14524019C2311yescharacteristic
539#14524019C2314yes—
540#14524019C2314yes—
541#14524019C2311yescharacteristic
542#14524019C2314yes—
543#14524019C2312yes—
544#14524019C2312yes—
545#14524019C2314yes—
546#14524019C2314yes—
547#14524019C2314yes—
548#14524019C2314yes—
549#14524019C2314yes—
550#14524019C2311yescharacteristic
551#14524019C2311yescharacteristic
552#14524019C2312yes—
553#14524019C2312yes—
554#14524018C2311yescharacteristic
555#14524018C2311yescharacteristic
556#14524018C2312yes—
557#14524018C2312yes—
558#14524018C2314yes—
559#14524018C2314yes—
560#14524018C2314yes—
561#14524018C2314yes—
562#14524018C2312yes—
563#14524018C2312yes—
564#14524018C2314yes—
565#14524018C2312yes—
566#14524017C2314yes—
567#14524017C2312yes—
568#14524017C2314yes—
569#14524017C2312yes—
570#14524017C2314yes—
571#14524017C2314yes—
572#14524017C2314yes—
573#14524017C2312yes—
574#14524016C2312yes—
575#14524016C2314yes—
576#14524016C2314yes—
577#14524016C2314yes—
578#14524016C2314yes—
579#14524016C2314yes—
580#14524016C2312yes—
581#14524015C2312yes—
582#14524015C2314yes—
583#14524015C2314yes—
584#14524015C2312yes—
585#14524014C2311yescharacteristic
586#14524014C2311yescharacteristic
587#14524013C2312yes—
588#14524013C2314yes—
589#14524011C2312yes—
590Q8×Dic67C2312yes—
591Q8×Dic67C2312yes—
592Q8×Dic67C2312yes—
593Q8×Dic67C2314yes—
594Q8×Dic67C2312yes—
595C4×Dic134C2312yes—
596C4×Dic134C2312yes—
597C4×Dic134C2312yes—
598C4×Dic134C2312yes—
599C4×Dic134C2314yes—
600C4×Dic134C2311yescharacteristic
601C4×Dic134C2312yes—
602C4×Dic134C2312yes—
603C4×Dic134C2312yes—
604C4×Dic134C2311yescharacteristic
605C4×Dic134C2312yes—
606C4×Dic134C2312yes—
607C4×Dic134C2312yes—
608C4×Dic134C2312yes—
609C4×Dic134C2311yescharacteristic
610C4×Dic134C2312yes—
611C4×Dic134C2314yes—
612C4×Dic134C2314yes—
613C4×Dic134C2311yescharacteristic
614C4×Dic134C2312yes—
615C4×Dic134C2312yes—
616C4×Dic134C2312yes—
617C4×Dic134C2312yes—
618C4×Dic134C2311yescharacteristic
619C4×Dic134C2311yescharacteristic
620C4×Dic134C2312yes—
621#14524008C2314yes—
622#14524008C2314yes—
623#14524008C2314yes—
624#14524008C2312yes—
625#14524008C2314yes—
626#14524008C2312yes—
627#14524008C2312yes—
628#14524008C2312yes—
629#14524008C2312yes—
630#14524008C2312yes—
631#14524008C2312yes—
632C4×D268C2312yes—
633C4×D268C2312yes—
634C4×D268C2312yes—
635C4×D268C2312yes—
636C4×D268C2312yes—
637C4×D268C2314yes—
638C4×D268C2311yescharacteristic
639C4×D268C2311yescharacteristic
640C4×D268C2312yes—
641C4×D268C2312yes—
642C4×D268C2312yes—
643C4×D268C2314yes—
644C4×D268C2314yes—
645C4×D268C2314yes—
646C4×D268C2312yes—
647C4×D268C2314yes—
648#14524005C2312yes—
649#14524005C2312yes—
650#14524005C2312yes—
651#14524005C2312yes—
652#14524005C2314yes—
653#14524005C2312yes—
654#14524005C2314yes—
655#14524005C2312yes—
656#14524005C2314yes—
657#14524005C2312yes—
658#14524005C2312yes—
659#14524005C2312yes—
660C4×C22⋊D67C2312yes—
661C4×C22⋊D67C2314yes—
662C4×C22⋊D67C2312yes—
663C4×C22⋊D67C2312yes—
664C4×C22⋊D67C2314yes—
665C4×C22⋊D67C2312yes—
666C4×C22⋊D67C2314yes—
667C4×C22⋊D67C2314yes—
668C4×C22⋊D67C2314yes—
669C4×C22⋊D67C2312yes—
670C4×C22⋊D67C2312yes—
671C4×C22⋊D67C2312yes—
672C4×C22⋊D67C2312yes—
673C4×C22⋊D67C2312yes—
674C4×C22⋊D67C2312yes—
675C4×C22⋊D67C2314yes—
676C4×C22⋊D67C2314yes—
677(C22⋊D67)⋊C4C2314yes—
678(C22⋊D67)⋊C4C2314yes—
679(C22⋊D67)⋊C4C2314yes—
680(C22⋊D67)⋊C4C2314yes—
681(C22⋊D67)⋊C4C2314yes—
682(C22⋊D67)⋊C4C2314yes—
683#14524002C2314yes—
684#14524002C2312yes—
685#14524002C2312yes—
686#14524002C2312yes—
687#14524002C2311yescharacteristic
688#14524001C2312yes—
689#14524001C2314yes—
690#14524001C2314yes—
691#14524001C2312yes—
692#14524001C2314yes—
693#14524001C2312yes—
694#14524000C2312yes—
695#14524000C2312yes—
696#14524000C2312yes—
697#14524000C2312yes—
698#14524000C2314yes—
699#14524000C2312yes—
700#14524000C2314yes—
701#14524000C2312yes—
702#14524000C2314yes—
703#14524000C2312yes—
704#14524000C2312yes—
705#14524000C2312yes—
706#14524000C2312yes—
707#14524000C2312yes—
708#14524000C2312yes—
709#14524000C2314yes—
710#14524000C2314yes—
711#14524000C2314yes—
712#14524000C2312yes—
713#14524000C2314yes—
714C2×C4⋊Dic67C2311yescharacteristic
715C2×C4⋊Dic67C2312yes—
716C2×Dic67⋊C4C2312yes—
717C2×Dic67⋊C4C2312yes—
718C2×Dic67⋊C4C2312yes—
719C2×Dic67⋊C4C2312yes—
720C2×Dic67⋊C4C2312yes—
721C4⋊C4×D67C2312yes—
722C4⋊C4×D67C2314yes—
723C4⋊C4×D67C2314yes—
724C4⋊C4×D67C2314yes—
725C4⋊C4×D67C2314yes—
726C2×(C2×D67)⋊C4C2312yes—
727C2×(C2×D67)⋊C4C2312yes—
728C2×C4×Dic67C2311yescharacteristic
729C2×C4×Dic67C2311yescharacteristic
730C2×C4×Dic67C2311yescharacteristic
731C2×C4×Dic67C2312yes—
732C42×D67C2311yescharacteristic
733C42×D67C2311yescharacteristic
734C42×D67C2311yescharacteristic
735C42×D67C2311yescharacteristic
736C42×D67C2311yescharacteristic
737C42×D67C2311yescharacteristic
738C42×D67C2311yescharacteristic
739C42×D67C2311yescharacteristic
740C42×D67C2314yes—
741C42×D67C2314yes—
742C42×D67C2314yes—
743C42×D67C2312yes—
744C42×D67C2314yes—
745C2×#41×C67C2311yescharacteristic
746C22×Q8×C67C2311yescharacteristic
747C22×Q8×C67C2312yes—
748C4⋊Q8×C67C2312yes—
749C4⋊Q8×C67C2314yes—
750C4⋊Q8×C67C2312yes—
751C4⋊Q8×C67C2312yes—
752C4⋊Q8×C67C2312yes—
753C4⋊Q8×C67C2314yes—
754C4⋊Q8×C67C2311yescharacteristic
755C4⋊Q8×C67C2311yescharacteristic
756#125×C67C2312yes—
757#125×C67C2312yes—
758#125×C67C2314yes—
759#125×C67C2314yes—
760#125×C67C2314yes—
761#125×C67C2312yes—
762C22⋊Q8×C67C2312yes—
763C22⋊Q8×C67C2314yes—
764C22⋊Q8×C67C2314yes—
765C22⋊Q8×C67C2314yes—
766C22⋊Q8×C67C2314yes—
767C22⋊Q8×C67C2314yes—
768C22⋊Q8×C67C2312yes—
769C22⋊Q8×C67C2312yes—
770C22⋊Q8×C67C2314yes—
771C22⋊Q8×C67C2314yes—
772C22⋊Q8×C67C2312yes—
773C4×Q8×C67C2312yes—
774C4×Q8×C67C2312yes—
775C4×Q8×C67C2312yes—
776C4×Q8×C67C2312yes—
777C4×Q8×C67C2314yes—
778C4×Q8×C67C2311yescharacteristic
779C4×Q8×C67C2311yescharacteristic
780C4×Q8×C67C2311yescharacteristic
781C4×Q8×C67C2312yes—
782C4×Q8×C67C2311yescharacteristic
783C4×Q8×C67C2312yes—
784C4×Q8×C67C2312yes—
785C4×Q8×C67C2314yes—
786C4×Q8×C67C2311yescharacteristic
787C4×Q8×C67C2311yescharacteristic
788C4×Q8×C67C2314yes—
789C4×Q8×C67C2312yes—
790C4×D4×C67C2312yes—
791C4×D4×C67C2312yes—
792C4×D4×C67C2312yes—
793C4×D4×C67C2314yes—
794C4×D4×C67C2311yescharacteristic
795C4×D4×C67C2314yes—
796C4×D4×C67C2312yes—
797C4×D4×C67C2311yescharacteristic
798#117×C67C2312yes—
799#117×C67C2311yescharacteristic
800#117×C67C2314yes—
801#117×C67C2312yes—
802C2×C4⋊C4×C67C2312yes—
803C2×C4⋊C4×C67C2314yes—
804C2×C4⋊C4×C67C2312yes—
805C2×C4⋊C4×C67C2311yescharacteristic
806C2×C42×C67C2311yescharacteristic
807C2×C42×C67C2312yes—
808C2×C42×C67C2312yes—
809C2×C42×C67C2314yes—
810C23×D67C2411yescharacteristic
811#11761629—44no—
812#11761629—44no—
813#11761629—44no—
814#11761628—24no—
815#11761628—28no—
816#11761628—44no—
817#11761628—48no—
818#11761628—44no—
819#11761628—44no—
820C2×Dic134—44no—
821C2×Dic134—42no—
822C2×Dic134C2411yescharacteristic
823C2×Dic134C2412yes—
824C2×Dic134C2412yes—
825C2×Dic134C2412yes—
826C2×Dic134C2411yescharacteristic
827C2×Dic134C2412yes—
828C2×Dic134C2411yescharacteristic
829C2×Dic134C2414yes—
830C2×Dic134C2414yes—
831C2×Dic134C2412yes—
832C2×Dic134C2412yes—
833C2×Dic134C2412yes—
834C2×Dic134C2412yes—
835Q8×D67—48no—
836Q8×D67—44no—
837C2×D268C2411yescharacteristic
838C2×D268C2412yes—
839C2×D268C2412yes—
840C2×D268C2414yes—
841C2×D268C2414yes—
842C2×D268C2414yes—
843C2×D268C2412yes—
844C2×D268C2412yes—
845C2×D268C2412yes—
846C2×D268C2414yes—
847C2×C22⋊D67C2414yes—
848C2×C22⋊D67C2412yes—
849C2×C22⋊D67C2412yes—
850C2×C22⋊D67C2412yes—
851C2×C22⋊D67C2412yes—
852C2×C22⋊D67C2414yes—
853C2×C22⋊D67C2414yes—
854C2×C22⋊D67C2412yes—
855C22×Dic67C2411yescharacteristic
856C22×Dic67C2411yescharacteristic
857C22×Dic67C2411yescharacteristic
858C22×Dic67C2412yes—
859C22×Dic67C2412yes—
860C2×C4×D67—24no—
861C2×C4×D67—42no—
862C2×C4×D67—42no—
863C2×C4×D67C2414yes—
864C2×C4×D67C2412yes—
865C2×C4×D67C2411yescharacteristic
866C2×C4×D67C2411yescharacteristic
867C2×C4×D67C2411yescharacteristic
868C2×C4×D67C2411yescharacteristic
869C2×C4×D67C2411yescharacteristic
870C2×C4×D67C2411yescharacteristic
871C2×C4×D67C2411yescharacteristic
872C2×C4×D67C2411yescharacteristic
873C2×C4×D67C2414yes—
874C2×C4×D67C2412yes—
875C2×C4×D67C2411yescharacteristic
876C2×C4×D67C2411yescharacteristic
877C2×C4×D67C2411yescharacteristic
878C2×C4×D67C2411yescharacteristic
879C2×C4×D67C2414yes—
880C2×C4×D67C2414yes—
881C2×C4×D67C2412yes—
882C2×C4×D67C2414yes—
883C2×C4×D67C2414yes—
884C2×C4×D67C2414yes—
885C2×C4×D67C2414yes—
886C2×C4×D67C2414yes—
887C4⋊Dic67C2411yescharacteristic
888C4⋊Dic67C2412yes—
889C4⋊Dic67C2412yes—
890C4⋊Dic67C2414yes—
891C4⋊Dic67C2414yes—
892C4⋊Dic67C2411yescharacteristic
893C4⋊Dic67C2412yes—
894C4⋊Dic67C2412yes—
895C4⋊Dic67C2412yes—
896C4⋊Dic67C2412yes—
897C4⋊Dic67C2412yes—
898C4⋊Dic67C2412yes—
899C4⋊Dic67C2414yes—
900C4⋊Dic67C2414yes—
901C4⋊Dic67C2414yes—
902C4⋊Dic67C2411yescharacteristic
903C4⋊Dic67C2411yescharacteristic
904C4⋊Dic67C2414yes—
905C4⋊Dic67C2412yes—
906C4⋊Dic67C2412yes—
907C4⋊Dic67C2412yes—
908Dic67⋊C4C2412yes—
909Dic67⋊C4C2412yes—
910Dic67⋊C4C2412yes—
911Dic67⋊C4C2412yes—
912Dic67⋊C4C2412yes—
913Dic67⋊C4C2414yes—
914Dic67⋊C4C2414yes—
915Dic67⋊C4C2414yes—
916Dic67⋊C4C2414yes—
917Dic67⋊C4C2412yes—
918Dic67⋊C4C2412yes—
919Dic67⋊C4C2412yes—
920Dic67⋊C4C2412yes—
921Dic67⋊C4C2412yes—
922Dic67⋊C4C2412yes—
923Dic67⋊C4C2412yes—
924Dic67⋊C4C2412yes—
925Dic67⋊C4C2412yes—
926Dic67⋊C4C2412yes—
927Dic67⋊C4C2412yes—
928Dic67⋊C4C2412yes—
929Dic67⋊C4C2412yes—
930Dic67⋊C4C2412yes—
931Dic67⋊C4C2412yes—
932Dic67⋊C4C2412yes—
933Dic67⋊C4C2412yes—
934Dic67⋊C4C2412yes—
935Dic67⋊C4C2414yes—
936Dic67⋊C4C2414yes—
937Dic67⋊C4C2414yes—
938Dic67⋊C4C2414yes—
939Dic67⋊C4C2414yes—
940Dic67⋊C4C2414yes—
941Dic67⋊C4C2412yes—
942Dic67⋊C4C2414yes—
943Dic67⋊C4C2414yes—
944Dic67⋊C4C2412yes—
945Dic67⋊C4C2412yes—
946Dic67⋊C4C2414yes—
947Dic67⋊C4C2412yes—
948Dic67⋊C4C2412yes—
949Dic67⋊C4C2412yes—
950Dic67⋊C4C2412yes—
951Dic67⋊C4C2414yes—
952C22⋊Dic67C2412yes—
953C22⋊Dic67C2412yes—
954C22⋊Dic67C2412yes—
955C22⋊Dic67C2412yes—
956C22⋊Dic67C2414yes—
957C22⋊Dic67C2412yes—
958C22⋊Dic67C2414yes—
959(C2×D67)⋊C4C2412yes—
960(C2×D67)⋊C4C2412yes—
961(C2×D67)⋊C4C2412yes—
962(C2×D67)⋊C4C2412yes—
963(C2×D67)⋊C4C2412yes—
964(C2×D67)⋊C4C2412yes—
965(C2×D67)⋊C4C2412yes—
966(C2×D67)⋊C4C2412yes—
967(C2×D67)⋊C4C2412yes—
968(C2×D67)⋊C4C2414yes—
969(C2×D67)⋊C4C2414yes—
970(C2×D67)⋊C4C2414yes—
971(C2×D67)⋊C4C2414yes—
972(C2×D67)⋊C4C2414yes—
973(C2×D67)⋊C4C2414yes—
974(C2×D67)⋊C4C2414yes—
975(C2×D67)⋊C4C2412yes—
976(C2×D67)⋊C4C2412yes—
977(C2×D67)⋊C4C2412yes—
978(C2×D67)⋊C4C2412yes—
979(C2×D67)⋊C4C2414yes—
980(C2×D67)⋊C4C2412yes—
981(C2×D67)⋊C4C2414yes—
982(C2×D67)⋊C4C2412yes—
983(C2×D67)⋊C4C2412yes—
984(C2×D67)⋊C4C2414yes—
985(C2×D67)⋊C4C2414yes—
986(C2×D67)⋊C4C2414yes—
987(C2×D67)⋊C4C2414yes—
988(C2×D67)⋊C4C2412yes—
989(C2×D67)⋊C4C2412yes—
990(C2×D67)⋊C4C2414yes—
991(C2×D67)⋊C4C2414yes—
992(C2×D67)⋊C4C2414yes—
993(C2×D67)⋊C4C2414yes—
994(C2×D67)⋊C4C2414yes—
995(C2×D67)⋊C4C2414yes—
996(C2×D67)⋊C4C2414yes—
997C4×Dic67C2411yescharacteristic
998C4×Dic67C2412yes—
999C4×Dic67C2411yescharacteristic
1000C4×Dic67C2412yes—
1001C4×Dic67C2412yes—
1002C4×Dic67C2411yescharacteristic
1003C4×Dic67C2411yescharacteristic
1004C4×Dic67C2411yescharacteristic
1005C4×Dic67C2411yescharacteristic
1006C4×Dic67C2411yescharacteristic
1007C4×Dic67C2411yescharacteristic
1008C4×Dic67C2411yescharacteristic
1009C4×Dic67C2411yescharacteristic
1010C4×Dic67C2411yescharacteristic
1011C4×Dic67C2411yescharacteristic
1012C4×Dic67C2414yes—
1013C4×Dic67C2412yes—
1014C4×Dic67C2414yes—
1015C4×Dic67C2414yes—
1016C4×Dic67C2412yes—
1017C4×Dic67C2414yes—
1018C4×Dic67C2414yes—
1019C4×Dic67C2414yes—
1020C4×Dic67C2414yes—
1021C4×Dic67C2414yes—
1022C4×Dic67C2412yes—
1023C4×Dic67C2412yes—
1024#41×C67—24no—
1025C2×Q8×C67—42no—
1026C2×Q8×C67—44no—
1027C2×Q8×C67C2411yescharacteristic
1028C2×Q8×C67C2411yescharacteristic
1029C2×Q8×C67C2412yes—
1030C2×Q8×C67C2411yescharacteristic
1031C2×Q8×C67C2412yes—
1032C2×Q8×C67C2414yes—
1033C2×Q8×C67C2414yes—
1034C2×Q8×C67C2412yes—
1035C2×D4×C67C2412yes—
1036C2×D4×C67C2411yescharacteristic
1037C22×C4×C67C2412yes—
1038C22×C4×C67C2411yescharacteristic
1039C22×C4×C67C2412yes—
1040C22×C4×C67C2411yescharacteristic
1041C22×C4×C67C2412yes—
1042C22×C4×C67C2412yes—
1043C22×C4×C67C2414yes—
1044C22×C4×C67C2412yes—
1045C22×C4×C67C2414yes—
1046C22×C4×C67C2411yescharacteristic
1047C4⋊C4×C67C2411yescharacteristic
1048C4⋊C4×C67C2412yes—
1049C4⋊C4×C67C2414yes—
1050C4⋊C4×C67C2412yes—
1051C4⋊C4×C67C2412yes—
1052C4⋊C4×C67C2414yes—
1053C4⋊C4×C67C2414yes—
1054C4⋊C4×C67C2412yes—
1055C4⋊C4×C67C2412yes—
1056C4⋊C4×C67C2411yescharacteristic
1057C4⋊C4×C67C2412yes—
1058C4⋊C4×C67C2414yes—
1059C4⋊C4×C67C2412yes—
1060C4⋊C4×C67C2412yes—
1061C4⋊C4×C67C2411yescharacteristic
1062C4⋊C4×C67C2411yescharacteristic
1063C4⋊C4×C67C2412yes—
1064C4⋊C4×C67C2414yes—
1065C4⋊C4×C67C2414yes—
1066C4⋊C4×C67C2412yes—
1067C4⋊C4×C67C2414yes—
1068C4⋊C4×C67C2414yes—
1069C4⋊C4×C67C2414yes—
1070C4⋊C4×C67C2412yes—
1071C4⋊C4×C67C2414yes—
1072C22⋊C4×C67C2412yes—
1073C22⋊C4×C67C2414yes—
1074C22⋊C4×C67C2414yes—
1075C22⋊C4×C67C2412yes—
1076C22⋊C4×C67C2414yes—
1077C22⋊C4×C67C2412yes—
1078C42×C67C2411yescharacteristic
1079C42×C67C2412yes—
1080C42×C67C2411yescharacteristic
1081C42×C67C2412yes—
1082C42×C67C2412yes—
1083C42×C67C2414yes—
1084C42×C67C2411yescharacteristic
1085C42×C67C2412yes—
1086C42×C67C2412yes—
1087C42×C67C2414yes—
1088C42×C67C2411yescharacteristic
1089C42×C67C2412yes—
1090C42×C67C2412yes—
1091C42×C67C2414yes—
1092C23×C67C2512yes—
1093C23×C67C2511yescharacteristic
1094C22×D67—22no—
1095C22×D67—41no—
1096C22×D67—41no—
1097C22×D67C2511yescharacteristic
1098C22×D67C2511yescharacteristic
1099C22×D67C2514yes—
1100C22×D67C2512yes—
1101Q8×C67—22no—
1102Q8×C67—22no—
1103Q8×C67—24no—
1104Q8×C67—22no—
1105Q8×C67—42no—
1106Q8×C67—44no—
1107Q8×C67—44no—
1108Q8×C67—42no—
1109D4×C67—24no—
1110D4×C67—22no—
1111C2×C4×C67—24no—
1112C2×C4×C67—22no—
1113C2×C4×C67—24no—
1114C2×C4×C67—44no—
1115C2×C4×C67—42no—
1116C2×C4×C67—41no—
1117C2×C4×C67—42no—
1118C2×C4×C67—44no—
1119C2×C4×C67—42no—
1120C2×C4×C672−1+414yes—
1121C2×C4×C67C2512yes—
1122C2×C4×C67C2511yescharacteristic
1123C2×C4×C67C2512yes—
1124C2×C4×C67C2512yes—
1125C2×C4×C67C2512yes—
1126C2×C4×C67C2511yescharacteristic
1127C2×C4×C67C2512yes—
1128C2×C4×C67C2514yes—
1129C2×C4×C67C2512yes—
1130C2×C4×C67C2514yes—
1131C2×C4×C67C2511yescharacteristic
1132C2×C4×C67C2512yes—
1133C2×C4×C67C2511yescharacteristic
1134C2×C4×C67C2511yescharacteristic
1135C2×C4×C67C2511yescharacteristic
1136C22⋊D67—28no—
1137C22⋊D67—24no—
1138C22⋊D67—24no—
1139C22⋊D67—42no—
1140C22⋊D67—44no—
1141C22⋊D67—44no—
1142C22⋊D67—42no—
1143C22⋊D67—42no—
1144C2×Dic67—22no—
1145C2×Dic67—22no—
1146C2×Dic67—41no—
1147C2×Dic67—42no—
1148C2×Dic67—42no—
1149C2×Dic67C2511yescharacteristic
1150C2×Dic67C2514yes—
1151C2×Dic67C2512yes—
1152C2×Dic67C2511yescharacteristic
1153C2×Dic67C2511yescharacteristic
1154C2×Dic67C2512yes—
1155C2×Dic67C2512yes—
1156C2×Dic67C2511yescharacteristic
1157C2×Dic67C2512yes—
1158C2×Dic67C2512yes—
1159C2×Dic67C2512yes—
1160C2×Dic67C2512yes—
1161C2×Dic67C2511yescharacteristic
1162C2×Dic67C2511yescharacteristic
1163D268—22no—
1164D268—24no—
1165D268—24no—
1166D268—44no—
1167D268—42no—
1168D268—42no—
1169D268—44no—
1170D268—44no—
1171D268—42no—
1172D268—44no—
1173C4×D67—22no—
1174C4×D67—22no—
1175C4×D67—22no—
1176C4×D67—22no—
1177C4×D67—28no—
1178C4×D67—24no—
1179C4×D67—22no—
1180C4×D67—22no—
1181C4×D67—24no—
1182C4×D67—22no—
1183C4×D67—22no—
1184C4×D67—28no—
1185C4×D67—41no—
1186C4×D67—41no—
1187C4×D67—41no—
1188C4×D67—41no—
1189C4×D67—44no—
1190C4×D67—44no—
1191C4×D67—44no—
1192C4×D67—42no—
1193C4×D67—44no—
1194C4×D67—44no—
1195C4×D67—44no—
1196C4×D67—44no—
1197Dic134—22no—
1198Dic134—24no—
1199Dic134—22no—
1200Dic134—22no—
1201Dic134—24no—
1202Dic134—24no—
1203Dic134—24no—
1204Dic134—44no—
1205Dic134—44no—
1206Dic134—42no—
1207Dic134—42no—
1208Dic134—42no—
1209Dic134—42no—
1210C22×C67—21no—
1211C22×C67—21no—
1212C22×C67—22no—
1213C22×C67—22no—
1214C22×C67—22no—
1215C22×C67C2×2−1+412yes—
1216C22×C67C2611yescharacteristic
1217C2×D67—21no—
1218C2×D67—21no—
1219C2×D67—24no—
1220C2×D67—22no—
1221C2×D67—24no—
1222C2×D67—22no—
1223C2×D67—21no—
1224C2×D67—21no—
1225C2×D67—21no—
1226C2×D67—21no—
1227C2×D67—24no—
1228C2×D67—22no—
1229C2×D67—44no—
1230C4×C67—22no—
1231C4×C67—22no—
1232C4×C67—22no—
1233C4×C67—22no—
1234C4×C67—21no—
1235C4×C67—24no—
1236C4×C67—22no—
1237C4×C67—24no—
1238C4×C67—21no—
1239C4×C67—21no—
1240C4×C67—22no—
1241C4×C67—22no—
1242C4×C67C2×2−1+412yes—
1243C4×C67C2×2−1+412yes—
1244C4×C67#58512yes—
1245Dic67—24no—
1246Dic67—22no—
1247Dic67—21no—
1248Dic67—21no—
1249Dic67—22no—
1250Dic67—22no—
1251Dic67—22no—
1252Dic67—22no—
1253Dic67—22no—
1254Dic67—21no—
1255Dic67—22no—
1256Dic67—21no—
1257Dic67—21no—
1258Dic67#58512yes—
1259#62761—671nomaximal, Sylow
1260C2×C67—22no—
1261C2×C67—42no—
1262C2×C67C22×2−1+411yescharacteristic
1263C2×C67C2×#58511yescharacteristic
1264C2×C67C2×#58511yescharacteristic
1265D67—44no—
1266D67—42no—
1267D67—41no—
1268D67—41no—
1269#3557—672no—
1270#3557—672no—
1271#3556—671no—
1272#3555—671no—
1273#3555—672no—
1274#3555—671no—
1275#3554—671no—
1276#3554—672no—
1277#3554—671no—
1278#3553—674no—
1279#3552—672no—
1280#3552—672no—
1281#3550—671no—
1282#3550—671no—
1283#3548—671no—
1284#3541—674no—
1285#3541—672no—
1286#3541—672no—
1287#3531—674no—
1288#3482—672no—
1289#3482—672no—
1290#3480—672no—
1291#3480—671no—
1292#3480—671no—
1293Q8×#41—672no—
1294Q8×#41—671no—
1295Q8×#41D6711yescharacteristic, complemented
1296#3461—674no—
1297#3461—672no—
1298#3461—672no—
1299#3455—672no—
1300#3455—672no—
1301#3444—671no—
1302#3444—671no—
1303C2×#533—671no—
1304C67#6276111yescharacteristic, complemented, Sylow
1305#564—674no—
1306#563—674no—
1307#563—674no—
1308#563—674no—
1309#563—674no—
1310#563—674no—
1311#563—674no—
1312#563—674no—
1313#563—674no—
1314#563—674no—
1315#563—674no—
1316#562—674no—
1317#562—674no—
1318#562—674no—
1319#562—674no—
1320#562—674no—
1321#559—671no—
1322#559—671no—
1323#559—672no—
1324#559—672no—
1325#559—672no—
1326#559—672no—
1327#559—672no—
1328Q82—672no—
1329Q82—671no—
1330Q82C2×D6711yescharacteristic, complemented
1331#557—671no—
1332#557—672no—
1333#557—672no—
1334#557—672no—
1335#557—672no—
1336#557—672no—
1337#557—672no—
1338#557—672no—
1339#557—671no—
1340#557—671no—
1341#557C2×D6711yescharacteristic, complemented
1342#557C2×D6712yescomplemented
1343#556—672no—
1344#556—672no—
1345#556—672no—
1346#556—674no—
1347#556—672no—
1348#556—672no—
1349#556—672no—
1350#556—672no—
1351#556—671no—
1352#556—672no—
1353#556—671no—
1354#556—672no—
1355#554—671no—
1356#554—672no—
1357#554—672no—
1358#554—672no—
1359#554—672no—
1360#554—674no—
1361#554—674no—
1362#554—674no—
1363#554—672no—
1364#554—674no—
1365#554C2×D6712yes—
1366#554C2×D6714yes—
1367#554C2×D6711yescharacteristic, complemented
1368#554C2×D6712yescomplemented
1369#553—672no—
1370#553—674no—
1371#553—674no—
1372#553—674no—
1373#553—674no—
1374#553—672no—
1375#553—674no—
1376#552—674no—
1377#552—674no—
1378#552—674no—
1379#552—672no—
1380#552—674no—
1381#552—672no—
1382#552—674no—
1383#550—671no—
1384#550—672no—
1385#550—671no—
1386D4×Q8—672no—
1387D4×Q8—672no—
1388D4×Q8—671no—
1389D4×Q8—672no—
1390D4×Q8—672no—
1391D4×Q8—674no—
1392D4×Q8C2×D6712yes—
1393D4×Q8C2×D6711yescharacteristic, complemented
1394#548—672no—
1395#548—672no—
1396#548—674no—
1397#548—672no—
1398#548—674no—
1399#548—672no—
1400#547—672no—
1401#547—672no—
1402#547—672no—
1403#547—674no—
1404#547—672no—
1405#544—674no—
1406#544—672no—
1407#544—672no—
1408#542—672no—
1409#542—672no—
1410#542—672no—
1411#542—672no—
1412#542—672no—
1413#542—674no—
1414#542—674no—
1415#542—674no—
1416#542—674no—
1417#542—674no—
1418#542—672no—
1419#542—672no—
1420#542—672no—
1421#542—672no—
1422#542—674no—
1423#542—672no—
1424#542—672no—
1425#542—672no—
1426#541—672no—
1427#541—674no—
1428#541—674no—
1429#541—674no—
1430#541—674no—
1431#541—672no—
1432#541—672no—
1433#541—672no—
1434#541—674no—
1435#541—672no—
1436#541—672no—
1437#541—672no—
1438#541—672no—
1439#541—674no—
1440#540—672no—
1441#540—672no—
1442#540—672no—
1443#540—672no—
1444#539—674no—
1445#539—674no—
1446#539—674no—
1447#539—674no—
1448#539—674no—
1449#539—674no—
1450#539—674no—
1451#539—674no—
1452#539—674no—
1453#539—674no—
1454#539—674no—
1455#539—674no—
1456#538—674no—
1457#538—674no—
1458#538—674no—
1459#538—674no—
1460#537—674no—
1461#537—672no—
1462#537—672no—
1463#536—672no—
1464#536—672no—
1465#536—674no—
1466#536—672no—
1467#536—672no—
1468#536—674no—
1469#533—671no—
1470#533—671no—
1471#533—672no—
1472#533—671no—
1473#533—671no—
1474#533—671no—
1475#533—671no—
1476#533—672no—
1477#533—671no—
1478#533—671no—
1479#533—672no—
1480#533—671no—
1481#533—671no—
1482#533—672no—
1483#533—671no—
1484#533—671no—
1485#533—674no—
1486#533—672no—
1487#533—674no—
1488#533—674no—
1489#533—674no—
1490#533—671no—
1491#533—672no—
1492#533C2×D6711yescharacteristic
1493#533C2×D6712yes—
1494#533C2×D6712yescomplemented
1495#533C2×D6714yescomplemented
1496#532—671no—
1497#532—672no—
1498#532—671no—
1499#532—671no—
1500#532—671no—
1501#532—671no—
1502#532—671no—
1503#532—672no—
1504C2×C4⋊Q8—671no—
1505C2×C4⋊Q8—671no—
1506#529—672no—
1507#529—672no—
1508#529—672no—
1509#529—672no—
1510#529—672no—
1511#529—672no—
1512#529—671no—
1513#529—671no—
1514#529—674no—
1515#529—674no—
1516#529—674no—
1517#529—674no—
1518#529—672no—
1519#529—674no—
1520#529—672no—
1521#529—672no—
1522#529—671no—
1523#529—671no—
1524#529—672no—
1525#529—672no—
1526#529—674no—
1527#529—674no—
1528#529—674no—
1529#529—674no—
1530#529—674no—
1531#529—674no—
1532#529—674no—
1533#529—672no—
1534#529—674no—
1535C2×#125—672no—
1536#525—671no—
1537#525—672no—
1538#525—672no—
1539#525—672no—
1540#525—672no—
1541#525—672no—
1542#525—671no—
1543C2×C22⋊Q8—671no—
1544C2×C22⋊Q8—672no—
1545C2×C22⋊Q8—671no—
1546C4×#41—672no—
1547C4×#41—672no—
1548C4×#41—672no—
1549C4×#41—672no—
1550C4×#41—672no—
1551C4×#41—672no—
1552C4×#41—672no—
1553C4×#41—671no—
1554C4×#41—672no—
1555C4×#41—672no—
1556C4×#41—674no—
1557C4×#41—672no—
1558C4×#41C2×D6711yescharacteristic
1559C4×#41C2×D6712yes—
1560C2×C4×Q8—672no—
1561C2×C4×Q8—674no—
1562C2×C4×Q8—671no—
1563C2×C4×Q8—672no—
1564C2×C4×Q8C2×D6711yescharacteristic
1565C2×C4×Q8C2×D6712yescomplemented
1566C2×#117—672no—
1567C22×C42—671no—
1568C2×#41—672no—
1569C2×#41—672no—
1570C2×#41—672no—
1571C2×#41—672no—
1572C2×#41—672no—
1573C2×#41—672no—
1574C2×#41—674no—
1575C2×#41—672no—
1576C2×#41—671no—
1577C2×#41C22×D6711yescharacteristic
1578C22×Q8—672no—
1579C22×Q8—674no—
1580C22×Q8—671no—
1581C22×Q8—672no—
1582C22×Q8C22×D6711yescharacteristic
1583C22×Q8C22×D6712yes—
1584C23×C4—671no—
1585C23×C4—671no—
1586C23×C4—671no—
1587C4⋊Q8—671no—
1588C4⋊Q8—671no—
1589C4⋊Q8—672no—
1590C4⋊Q8—671no—
1591C4⋊Q8—671no—
1592C4⋊Q8—672no—
1593C4⋊Q8—671no—
1594C4⋊Q8—672no—
1595C4⋊Q8—672no—
1596C4⋊Q8—674no—
1597C4⋊Q8—674no—
1598C4⋊Q8—674no—
1599C4⋊Q8—674no—
1600C4⋊Q8—672no—
1601C4⋊Q8—671no—
1602C4⋊Q8—671no—
1603C4⋊Q8—671no—
1604C4⋊Q8—671no—
1605C4⋊Q8—672no—
1606C4⋊Q8—671no—
1607C4⋊Q8—671no—
1608C4⋊Q8—674no—
1609C4⋊Q8—674no—
1610C4⋊Q8—672no—
1611C4⋊Q8—672no—
1612C4⋊Q8—672no—
1613C4⋊Q8—674no—
1614C4⋊Q8—674no—
1615C4⋊Q8—671no—
1616C4⋊Q8—672no—
1617C4⋊Q8C22×D6711yescharacteristic
1618C4⋊Q8C22×D6711yescharacteristic
1619C4⋊Q8C22×D6712yes—
1620C4⋊Q8C22×D6712yes—
1621C4⋊Q8C22×D6712yes—
1622C4⋊Q8C22×D6714yes—
1623C4⋊Q8C22×D6712yes—
1624C4⋊Q8C22×D6714yes—
1625#127—671no—
1626#127—672no—
1627#127—671no—
1628#127—672no—
1629#126—672no—
1630#126—674no—
1631#126—672no—
1632#126—674no—
1633#126—674no—
1634#126—674no—
1635#126—674no—
1636#126—674no—
1637#126—674no—
1638#126—674no—
1639#126—674no—
1640#126—674no—
1641#126—674no—
1642#126—674no—
1643#126—674no—
1644#126—674no—
1645#126—674no—
1646#126—674no—
1647#126—674no—
1648#126—674no—
1649#126—672no—
1650#126—672no—
1651#126—674no—
1652#126—674no—
1653#126—674no—
1654#126—674no—
1655#126—674no—
1656#126—674no—
1657#126—674no—
1658#126—674no—
1659#126—674no—
1660#126—674no—
1661#126—674no—
1662#126—674no—
1663#125—672no—
1664#125—672no—
1665#125—672no—
1666#125—672no—
1667#125—672no—
1668#125—672no—
1669#125—672no—
1670#125—672no—
1671#125—672no—
1672#125—672no—
1673#125—671no—
1674#125—671no—
1675#125—672no—
1676#125—672no—
1677#125—674no—
1678#125—674no—
1679#125—674no—
1680#125—674no—
1681#125—674no—
1682#125—674no—
1683#125—674no—
1684#125—674no—
1685#125—674no—
1686#125—674no—
1687#125—672no—
1688#125—674no—
1689#125—674no—
1690#125—674no—
1691#125—674no—
1692#125—674no—
1693#125—674no—
1694#125—674no—
1695#125—674no—
1696#125—674no—
1697#125—672no—
1698#125—672no—
1699#125—674no—
1700#125—674no—
1701#125—674no—
1702#125—672no—
1703#125C22×D6712yes—
1704#125C22×D6712yes—
1705#125C22×D6712yes—
1706#125C22×D6714yes—
1707#125C22×D6714yes—
1708#125C22×D6714yes—
1709#124—672no—
1710#124—671no—
1711#124—672no—
1712#124—674no—
1713#124—674no—
1714#124—672no—
1715#124—674no—
1716#124—674no—
1717#124—674no—
1718#124—672no—
1719#124—671no—
1720#124—672no—
1721#124—672no—
1722#124—672no—
1723#124—674no—
1724#124—674no—
1725#124—674no—
1726#124—674no—
1727#124—674no—
1728#124—672no—
1729#124—674no—
1730#124—672no—
1731#124—674no—
1732#124—674no—
1733#124—672no—
1734#124—672no—
1735#123—672no—
1736#123—674no—
1737#123—674no—
1738#123—674no—
1739#123—674no—
1740#123—674no—
1741#123—674no—
1742#123—674no—
1743#123—672no—
1744#123—674no—
1745#123—672no—
1746#123—674no—
1747#123—674no—
1748#123—674no—
1749#123—674no—
1750#123—674no—
1751#123—674no—
1752#123—674no—
1753#123—674no—
1754#123—674no—
1755#123—674no—
1756#123—674no—
1757#123—674no—
1758#123—674no—
1759#123—674no—
1760#123—674no—
1761#123—674no—
1762#123—674no—
1763#123—674no—
1764#123—672no—
1765#123—672no—
1766#123—672no—
1767#123—674no—
1768#123—674no—
1769#123—674no—
1770#123—674no—
1771#123—674no—
1772C22⋊Q8—671no—
1773C22⋊Q8—671no—
1774C22⋊Q8—672no—
1775C22⋊Q8—671no—
1776C22⋊Q8—671no—
1777C22⋊Q8—672no—
1778C22⋊Q8—672no—
1779C22⋊Q8—671no—
1780C22⋊Q8—671no—
1781C22⋊Q8—672no—
1782C22⋊Q8—674no—
1783C22⋊Q8—674no—
1784C22⋊Q8—672no—
1785C22⋊Q8—674no—
1786C22⋊Q8—674no—
1787C22⋊Q8—674no—
1788C22⋊Q8—672no—
1789C22⋊Q8—674no—
1790C22⋊Q8—674no—
1791C22⋊Q8—674no—
1792C22⋊Q8—674no—
1793C22⋊Q8—674no—
1794C22⋊Q8—672no—
1795C22⋊Q8—674no—
1796C22⋊Q8—674no—
1797C22⋊Q8—672no—
1798C22⋊Q8—671no—
1799C22⋊Q8—672no—
1800C22⋊Q8—671no—
1801C22⋊Q8—672no—
1802C22⋊Q8—672no—
1803C22⋊Q8—672no—
1804C22⋊Q8—672no—
1805C22⋊Q8—671no—
1806C22⋊Q8—672no—
1807C22⋊Q8—671no—
1808C22⋊Q8—672no—
1809C22⋊Q8—672no—
1810C22⋊Q8—672no—
1811C22⋊Q8—672no—
1812C22⋊Q8—672no—
1813C22⋊Q8—672no—
1814C22⋊Q8—671no—
1815C22⋊Q8—671no—
1816C22⋊Q8—672no—
1817C22⋊Q8—674no—
1818C22⋊Q8—674no—
1819C22⋊Q8—674no—
1820C22⋊Q8—674no—
1821C22⋊Q8—674no—
1822C22⋊Q8—674no—
1823C22⋊Q8—674no—
1824C22⋊Q8—674no—
1825C22⋊Q8—674no—
1826C22⋊Q8—672no—
1827C22⋊Q8—674no—
1828C22⋊Q8—674no—
1829C22⋊Q8—674no—
1830C22⋊Q8—674no—
1831C22⋊Q8—674no—
1832C22⋊Q8—674no—
1833C22⋊Q8—674no—
1834C22⋊Q8—674no—
1835C22⋊Q8—674no—
1836C22⋊Q8—672no—
1837C22⋊Q8—672no—
1838C22⋊Q8—674no—
1839C22⋊Q8—674no—
1840C22⋊Q8C22×D6712yes—
1841C22⋊Q8C22×D6712yes—
1842C22⋊Q8C22×D6714yes—
1843C22⋊Q8C22×D6714yes—
1844C22⋊Q8C22×D6712yes—
1845C22⋊Q8C22×D6714yes—
1846C22⋊Q8C22×D6712yes—
1847C22⋊Q8C22×D6714yes—
1848C22⋊Q8C22×D6714yes—
1849C22⋊Q8C22×D6714yes—
1850C22⋊Q8C22×D6714yes—
1851#121—671no—
1852#121—671no—
1853#121—672no—
1854#121—672no—
1855#121—674no—
1856#121—674no—
1857#121—672no—
1858#121—672no—
1859#121—674no—
1860#121—674no—
1861#121—672no—
1862#121—674no—
1863#121—674no—
1864#121—674no—
1865#121—672no—
1866#121—672no—
1867#121—672no—
1868#121—671no—
1869#121—671no—
1870#121—672no—
1871#121—674no—
1872#121—674no—
1873#121—674no—
1874#121—672no—
1875#121—674no—
1876#121—674no—
1877#121—672no—
1878#121—672no—
1879#121—674no—
1880#121—674no—
1881#121—674no—
1882#121—674no—
1883#121—674no—
1884#120—672no—
1885#120—674no—
1886#120—672no—
1887C4×Q8—672no—
1888C4×Q8—674no—
1889C4×Q8—672no—
1890C4×Q8—672no—
1891C4×Q8—672no—
1892C4×Q8—674no—
1893C4×Q8—674no—
1894C4×Q8—672no—
1895C4×Q8—674no—
1896C4×Q8—674no—
1897C4×Q8—672no—
1898C4×Q8—672no—
1899C4×Q8—672no—
1900C4×Q8—672no—
1901C4×Q8—672no—
1902C4×Q8—672no—
1903C4×Q8—672no—
1904C4×Q8—671no—
1905C4×Q8—672no—
1906C4×Q8—672no—
1907C4×Q8—671no—
1908C4×Q8—672no—
1909C4×Q8—672no—
1910C4×Q8—674no—
1911C4×Q8—674no—
1912C4×Q8—672no—
1913C4×Q8—672no—
1914C4×Q8—671no—
1915C4×Q8—672no—
1916C4×Q8—671no—
1917C4×Q8—672no—
1918C4×Q8—672no—
1919C4×Q8—672no—
1920C4×Q8—672no—
1921C4×Q8—672no—
1922C4×Q8—672no—
1923C4×Q8—671no—
1924C4×Q8—671no—
1925C4×Q8—674no—
1926C4×Q8—672no—
1927C4×Q8—672no—
1928C4×Q8—672no—
1929C4×Q8C22×D6712yes—
1930C4×Q8C22×D6714yes—
1931C4×Q8C22×D6711yescharacteristic
1932C4×Q8C22×D6711yescharacteristic
1933C4×Q8C22×D6712yes—
1934C4×Q8C22×D6711yescharacteristic
1935C4×Q8C22×D6711yescharacteristic
1936C4×Q8C22×D6712yes—
1937C4×Q8C22×D6714yes—
1938C4×Q8C22×D6712yes—
1939C4×Q8C22×D6712yes—
1940C4×Q8C22×D6714yes—
1941C4×Q8C22×D6712yes—
1942C4×Q8C22×D6711yescharacteristic
1943C4×Q8C22×D6711yescharacteristic
1944C4×Q8C22×D6712yes—
1945C4×Q8C22×D6712yes—
1946C4×D4—672no—
1947C4×D4—672no—
1948C4×D4—672no—
1949C4×D4—672no—
1950C4×D4—672no—
1951C4×D4—672no—
1952C4×D4—672no—
1953C4×D4—672no—
1954C4×D4—674no—
1955C4×D4—674no—
1956C4×D4—672no—
1957C4×D4—672no—
1958C4×D4—674no—
1959C4×D4—674no—
1960C4×D4—674no—
1961C4×D4—674no—
1962C4×D4—674no—
1963C4×D4—674no—
1964C4×D4—674no—
1965C4×D4—672no—
1966C4×D4—672no—
1967C4×D4—672no—
1968C4×D4—672no—
1969C4×D4—674no—
1970C4×D4—672no—
1971C4×D4—672no—
1972C4×D4—672no—
1973C4×D4—672no—
1974C4×D4—672no—
1975C4×D4—674no—
1976C4×D4—674no—
1977C4×D4—674no—
1978C4×D4—674no—
1979C4×D4—674no—
1980C4×D4—674no—
1981C4×D4—672no—
1982C4×D4—674no—
1983C4×D4—674no—
1984C4×D4—672no—
1985C4×D4—672no—
1986C4×D4—672no—
1987C4×D4—672no—
1988C4×D4—672no—
1989C4×D4—674no—
1990C4×D4—674no—
1991C4×D4—671no—
1992C4×D4—671no—
1993C4×D4—674no—
1994C4×D4—672no—
1995C4×D4—672no—
1996C4×D4—672no—
1997C4×D4C22×D6712yes—
1998C4×D4C22×D6712yes—
1999C4×D4C22×D6711yescharacteristic
2000C4×D4C22×D6711yescharacteristic
2001C4×D4C22×D6714yes—
2002C4×D4C22×D6714yes—
2003C4×D4C22×D6712yes—
2004C4×D4C22×D6712yes—
2005#117—671no—
2006#117—672no—
2007#117—672no—
2008#117—672no—
2009#117—674no—
2010#117—672no—
2011#117—672no—
2012#117—674no—
2013#117—674no—
2014#117—672no—
2015#117—674no—
2016#117—672no—
2017#117—672no—
2018#117—672no—
2019#117—672no—
2020#117—672no—
2021#117—672no—
2022#117—672no—
2023#117—672no—
2024#117—672no—
2025#117—672no—
2026#117—674no—
2027#117—674no—
2028#117—674no—
2029#117—672no—
2030#117—674no—
2031#117—672no—
2032#117—672no—
2033#117—674no—
2034#117—674no—
2035#117—674no—
2036#117C22×D6712yes—
2037#117C22×D6711yescharacteristic
2038#117C22×D6712yes—
2039#117C22×D6714yes—
2040C2×C4⋊C4—672no—
2041C2×C4⋊C4—672no—
2042C2×C4⋊C4—672no—
2043C2×C4⋊C4—672no—
2044C2×C4⋊C4—672no—
2045C2×C4⋊C4—672no—
2046C2×C4⋊C4—671no—
2047C2×C4⋊C4—674no—
2048C2×C4⋊C4—672no—
2049C2×C4⋊C4—674no—
2050C2×C4⋊C4—674no—
2051C2×C4⋊C4—674no—
2052C2×C4⋊C4C22×D6712yes—
2053C2×C4⋊C4C22×D6711yescharacteristic
2054C2×C4⋊C4C22×D6712yes—
2055C2×C4⋊C4C22×D6714yes—
2056C2×C22⋊C4—672no—
2057C2×C22⋊C4—672no—
2058C2×C42—672no—
2059C2×C42—671no—
2060C2×C42—671no—
2061C2×C42—671no—
2062C2×C42—674no—
2063C2×C42—672no—
2064C2×C42—674no—
2065C2×C42—674no—
2066C2×C42—674no—
2067C2×C42—671no—
2068C2×C42—671no—
2069C2×C42—671no—
2070C2×C42—671no—
2071C2×C42—671no—
2072C2×C42—671no—
2073C2×C42—671no—
2074C2×C42—671no—
2075C2×C42C22×D6712yes—
2076C2×C42C22×D6711yescharacteristic
2077C2×C42C22×D6712yes—
2078C2×C42C22×D6714yes—
2079C24—671no—
2080#41—24no—
2081#41—2684no—
2082#41—2684no—
2083#41—2684no—
2084#41—2688no—
2085#41—2684no—
2086#41—2684no—
2087#41—2684no—
2088#41—1348no—
2089#41—1344no—
2090C2×Q8—42no—
2091C2×Q8—44no—
2092C2×Q8—2682no—
2093C2×Q8—2684no—
2094C2×Q8—2684no—
2095C2×Q8—2688no—
2096C2×Q8—672no—
2097C2×Q8—674no—
2098C2×Q8—674no—
2099C2×Q8—672no—
2100C2×Q8—672no—
2101C2×Q8—672no—
2102C2×Q8—672no—
2103C2×Q8—671no—
2104C2×Q8—672no—
2105C2×Q8—671no—
2106C2×Q8—672no—
2107C2×Q8—672no—
2108C2×Q8—671no—
2109C2×Q8C23×D6712yes—
2110C2×Q8C23×D6711yescharacteristic
2111C2×Q8C23×D6711yescharacteristic
2112C2×Q8C23×D6711yescharacteristic
2113C2×Q8C23×D6714yes—
2114C2×Q8C23×D6712yes—
2115C2×Q8C23×D6712yes—
2116C2×Q8C23×D6714yes—
2117C2×D4—672no—
2118C2×D4—672no—
2119C2×D4—672no—
2120C2×D4—674no—
2121C2×D4—674no—
2122C2×D4—672no—
2123C2×D4—674no—
2124C2×D4—672no—
2125C2×D4—674no—
2126C2×D4—674no—
2127C2×D4—672no—
2128C2×D4—672no—
2129C2×D4—672no—
2130C2×D4—674no—
2131C2×D4—674no—
2132C2×D4—672no—
2133C2×D4—671no—
2134C2×D4—672no—
2135C2×D4C23×D6712yes—
2136C2×D4C23×D6711yescharacteristic
2137C22×C4—2682no—
2138C22×C4—2682no—
2139C22×C4—671no—
2140C22×C4—672no—
2141C22×C4—672no—
2142C22×C4—671no—
2143C22×C4—671no—
2144C22×C4—671no—
2145C22×C4—671no—
2146C22×C4—674no—
2147C22×C4—672no—
2148C22×C4—674no—
2149C22×C4—674no—
2150C22×C4—674no—
2151C22×C4—674no—
2152C22×C4—674no—
2153C22×C4—674no—
2154C22×C4—671no—
2155C22×C4—671no—
2156C22×C4—671no—
2157C22×C4—671no—
2158C22×C4—671no—
2159C22×C4—671no—
2160C22×C4—671no—
2161C22×C4—671no—
2162C22×C4—674no—
2163C22×C4—672no—
2164C22×C4—672no—
2165C22×C4—674no—
2166C22×C4—671no—
2167C22×C4—671no—
2168C22×C4—1344no—
2169C22×C4C23×D6711yescharacteristic
2170C22×C4C23×D6712yes—
2171C22×C4C23×D6712yes—
2172C22×C4C23×D6711yescharacteristic
2173C22×C4C23×D6712yes—
2174C22×C4C23×D6712yes—
2175C22×C4C23×D6712yes—
2176C22×C4C23×D6714yes—
2177C22×C4C23×D6714yes—
2178C22×C4C23×D6711yescharacteristic
2179C4⋊C4—672no—
2180C4⋊C4—671no—
2181C4⋊C4—672no—
2182C4⋊C4—672no—
2183C4⋊C4—672no—
2184C4⋊C4—672no—
2185C4⋊C4—672no—
2186C4⋊C4—672no—
2187C4⋊C4—672no—
2188C4⋊C4—672no—
2189C4⋊C4—672no—
2190C4⋊C4—672no—
2191C4⋊C4—671no—
2192C4⋊C4—672no—
2193C4⋊C4—672no—
2194C4⋊C4—672no—
2195C4⋊C4—672no—
2196C4⋊C4—672no—
2197C4⋊C4—672no—
2198C4⋊C4—672no—
2199C4⋊C4—672no—
2200C4⋊C4—672no—
2201C4⋊C4—672no—
2202C4⋊C4—672no—
2203C4⋊C4—674no—
2204C4⋊C4—674no—
2205C4⋊C4—674no—
2206C4⋊C4—674no—
2207C4⋊C4—672no—
2208C4⋊C4—672no—
2209C4⋊C4—674no—
2210C4⋊C4—674no—
2211C4⋊C4—672no—
2212C4⋊C4—672no—
2213C4⋊C4—672no—
2214C4⋊C4—672no—
2215C4⋊C4—672no—
2216C4⋊C4—672no—
2217C4⋊C4—671no—
2218C4⋊C4—671no—
2219C4⋊C4—672no—
2220C4⋊C4—672no—
2221C4⋊C4—674no—
2222C4⋊C4—674no—
2223C4⋊C4—672no—
2224C4⋊C4—674no—
2225C4⋊C4—674no—
2226C4⋊C4—672no—
2227C4⋊C4—672no—
2228C4⋊C4—672no—
2229C4⋊C4—672no—
2230C4⋊C4—672no—
2231C4⋊C4—672no—
2232C4⋊C4—674no—
2233C4⋊C4—674no—
2234C4⋊C4—674no—
2235C4⋊C4—674no—
2236C4⋊C4—674no—
2237C4⋊C4—672no—
2238C4⋊C4—674no—
2239C4⋊C4—672no—
2240C4⋊C4—674no—
2241C4⋊C4—674no—
2242C4⋊C4—674no—
2243C4⋊C4—674no—
2244C4⋊C4C23×D6712yes—
2245C4⋊C4C23×D6714yes—
2246C4⋊C4C23×D6714yes—
2247C4⋊C4C23×D6714yes—
2248C4⋊C4C23×D6714yes—
2249C4⋊C4C23×D6711yescharacteristic
2250C4⋊C4C23×D6712yes—
2251C4⋊C4C23×D6712yes—
2252C4⋊C4C23×D6711yescharacteristic
2253C4⋊C4C23×D6712yes—
2254C4⋊C4C23×D6714yes—
2255C4⋊C4C23×D6714yes—
2256C4⋊C4C23×D6712yes—
2257C4⋊C4C23×D6714yes—
2258C4⋊C4C23×D6712yes—
2259C4⋊C4C23×D6712yes—
2260C4⋊C4C23×D6714yes—
2261C4⋊C4C23×D6712yes—
2262C4⋊C4C23×D6712yes—
2263C4⋊C4C23×D6711yescharacteristic
2264C4⋊C4C23×D6711yescharacteristic
2265C4⋊C4C23×D6712yes—
2266C4⋊C4C23×D6714yes—
2267C4⋊C4C23×D6712yes—
2268C4⋊C4C23×D6714yes—
2269C22⋊C4—672no—
2270C22⋊C4—672no—
2271C22⋊C4—672no—
2272C22⋊C4—672no—
2273C22⋊C4—672no—
2274C22⋊C4—674no—
2275C22⋊C4—674no—
2276C22⋊C4—672no—
2277C22⋊C4—672no—
2278C22⋊C4—672no—
2279C22⋊C4—672no—
2280C22⋊C4—672no—
2281C22⋊C4—672no—
2282C22⋊C4—672no—
2283C22⋊C4—672no—
2284C22⋊C4—672no—
2285C22⋊C4—674no—
2286C22⋊C4—674no—
2287C22⋊C4—674no—
2288C22⋊C4—672no—
2289C22⋊C4—672no—
2290C22⋊C4—672no—
2291C22⋊C4—672no—
2292C22⋊C4—672no—
2293C22⋊C4—674no—
2294C22⋊C4—674no—
2295C22⋊C4—674no—
2296C22⋊C4—674no—
2297C22⋊C4—674no—
2298C22⋊C4—674no—
2299C22⋊C4—674no—
2300C22⋊C4—672no—
2301C22⋊C4—674no—
2302C22⋊C4—674no—
2303C22⋊C4—674no—
2304C22⋊C4—672no—
2305C22⋊C4—672no—
2306C22⋊C4—674no—
2307C22⋊C4—674no—
2308C22⋊C4—674no—
2309C22⋊C4—674no—
2310C22⋊C4—674no—
2311C22⋊C4—672no—
2312C22⋊C4—674no—
2313C22⋊C4—674no—
2314C22⋊C4C23×D6714yes—
2315C22⋊C4C23×D6712yes—
2316C22⋊C4C23×D6712yes—
2317C22⋊C4C23×D6714yes—
2318C22⋊C4C23×D6712yes—
2319C22⋊C4C23×D6714yes—
2320C42—671no—
2321C42—671no—
2322C42—671no—
2323C42—671no—
2324C42—671no—
2325C42—671no—
2326C42—671no—
2327C42—671no—
2328C42—671no—
2329C42—671no—
2330C42—674no—
2331C42—672no—
2332C42—674no—
2333C42—672no—
2334C42—672no—
2335C42—672no—
2336C42—674no—
2337C42—674no—
2338C42—674no—
2339C42—674no—
2340C42—674no—
2341C42—674no—
2342C42—671no—
2343C42—672no—
2344C42—672no—
2345C42—671no—
2346C42—672no—
2347C42C23×D6711yescharacteristic
2348C42C23×D6711yescharacteristic
2349C42C23×D6712yes—
2350C42C23×D6712yes—
2351C42C23×D6712yes—
2352C42C23×D6712yes—
2353C42C23×D6714yes—
2354C42C23×D6714yes—
2355C42C23×D6711yescharacteristic
2356C42C23×D6712yes—
2357C42C23×D6711yescharacteristic
2358C42C23×D6714yes—
2359C42C23×D6712yes—
2360C42C23×D6712yes—
2361C23—2681no—
2362C23—2681no—
2363C23—671no—
2364C23—671no—
2365C23—672no—
2366C23—674no—
2367C23—1342no—
2368C23C24×D6712yes—
2369C23C24×D6711yescharacteristic
2370Q8—22no—
2371Q8—22no—
2372Q8—24no—
2373Q8—22no—
2374Q8—44no—
2375Q8—42no—
2376Q8—44no—
2377Q8—42no—
2378Q8—2682no—
2379Q8—2682no—
2380Q8—2684no—
2381Q8—2682no—
2382Q8—2684no—
2383Q8—2682no—
2384Q8—1344no—
2385Q8—1344no—
2386Q8—1344no—
2387Q8—1344no—
2388Q8—1342no—
2389Q8—1342no—
2390Q8—1342no—
2391D4—24no—
2392D4—22no—
2393D4—2684no—
2394D4—2682no—
2395D4—2682no—
2396D4—2684no—
2397D4—2682no—
2398D4—2684no—
2399D4—2684no—
2400D4—2684no—
2401D4—2682no—
2402D4—2684no—
2403D4—2682no—
2404D4—2682no—
2405D4—1344no—
2406D4—1344no—
2407D4—1348no—
2408D4—1344no—
2409D4—1342no—
2410D4—1344no—
2411C2×C4—24no—
2412C2×C4—22no—
2413C2×C4—24no—
2414C2×C4—41no—
2415C2×C4—42no—
2416C2×C4—44no—
2417C2×C4—42no—
2418C2×C4—42no—
2419C2×C4—44no—
2420C2×C4—2681no—
2421C2×C4—2681no—
2422C2×C4—2681no—
2423C2×C4—2681no—
2424C2×C4—2684no—
2425C2×C4—2684no—
2426C2×C4—2684no—
2427C2×C4—2682no—
2428C2×C4—2684no—
2429C2×C4—2684no—
2430C2×C4—2684no—
2431C2×C4—2684no—
2432C2×C4—2681no—
2433C2×C4—2682no—
2434C2×C4—2682no—
2435C2×C4—671no—
2436C2×C4—671no—
2437C2×C4—672no—
2438C2×C4—674no—
2439C2×C4—671no—
2440C2×C4—671no—
2441C2×C4—672no—
2442C2×C4—671no—
2443C2×C4—672no—
2444C2×C4—672no—
2445C2×C4—672no—
2446C2×C4—672no—
2447C2×C4—672no—
2448C2×C4—671no—
2449C2×C4—1342no—
2450C2×C4—1342no—
2451C2×C4—1348no—
2452C2×C4—1342no—
2453C2×C4—1342no—
2454C2×C4—1342no—
2455C2×C4—1342no—
2456C2×C4—1342no—
2457C2×C4—1342no—
2458C2×C4—1344no—
2459C2×C4—1348no—
2460C2×C4—1342no—
2461C2×C4—1342no—
2462C2×C4—1344no—
2463C2×C4#1452409114yes—
2464C2×C4C24×D6711yescharacteristic
2465C2×C4C24×D6712yes—
2466C2×C4C24×D6711yescharacteristic
2467C2×C4C24×D6712yes—
2468C2×C4C24×D6714yes—
2469C2×C4C24×D6712yes—
2470C2×C4C24×D6714yes—
2471C2×C4C24×D6711yescharacteristic
2472C2×C4C24×D6712yes—
2473C2×C4C24×D6712yes—
2474C2×C4C24×D6712yes—
2475C2×C4C24×D6712yes—
2476C2×C4C24×D6711yescharacteristic
2477C2×C4C24×D6711yescharacteristic
2478C2×C4C24×D6711yescharacteristic
2479C22—21no—
2480C22—21no—
2481C22—22no—
2482C22—22no—
2483C22—22no—
2484C22—2684no—
2485C22—1341no—
2486C22—1341no—
2487C22—1342no—
2488C22—1344no—
2489C22—1342no—
2490C22—1344no—
2491C22—1341no—
2492C22—1341no—
2493C22—1344no—
2494C22—1342no—
2495C22—1341no—
2496C22—1341no—
2497C22C2×#1452409112yes—
2498C22C25×D6711yescharacteristic
2499C4—22no—
2500C4—21no—
2501C4—22no—
2502C4—22no—
2503C4—22no—
2504C4—21no—
2505C4—24no—
2506C4—22no—
2507C4—21no—
2508C4—22no—
2509C4—22no—
2510C4—24no—
2511C4—672no—
2512C4—1341no—
2513C4—1341no—
2514C4—1342no—
2515C4—1344no—
2516C4—1342no—
2517C4—1342no—
2518C4—1342no—
2519C4—1341no—
2520C4—1341no—
2521C4—1342no—
2522C4—1342no—
2523C4—1341no—
2524C4—1342no—
2525C4C2×#1452409112yes—
2526C4C2×#1452409112yes—
2527C4#1686423212yes—
2528C2—22no—
2529C2—42no—
2530C2—2681no—
2531C2—2681no—
2532C2—2682no—
2533C2—2684no—
2534C2C22×#1452409111yescharacteristic
2535C2#585×D6711yescharacteristic
2536C2C2×#1686423211yescharacteristic
subgroupG/H
centerC2×C4C24×D67
commutator, socle, cosocleC22×C67C26
FrattiniC22C25×D67
FittingQ8×#41×C67C2
hypercenterQ8×#41D67
hypocenterC67#62761
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C2×C4 ◁ Q8×#41

Complements

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

NH ≅ G/Ntype
1. #22574716C2semidirect
2. #22574710C2semidirect
3. #22574701C2semidirect
4. #22574700C2semidirect
5. #22574698C2semidirect
6. #22574689C2semidirect
7. #22574683C2semidirect
8. #22574681C2semidirect
9. #22574672C2semidirect
10. #22574661C2semidirect
11. #22574652C2semidirect
12. #22574644C2semidirect
13. #22574616C2semidirect
14. #22574615C2semidirect
15. #22574608C2semidirect
16. #22574507C2semidirect
17. #22574503C2semidirect
18. #22574495C2semidirect
19. #22574356C2semidirect
20. #22573827C2semidirect
21. #22573826C2semidirect
22. #22573804C2semidirect
23. #22573802C2semidirect
24. #22573802C2semidirect
25. #22573787C2semidirect
26. #22573787C2semidirect
27. #22573642C2semidirect
28. #22573640C2semidirect
29. #22573640C2semidirect
30. #22573601C2semidirect
31. #22573594C2semidirect
32. #22573506C2semidirect
33. #22573502C2semidirect
34. C2×#16863950C2semidirect
35. Q8×#41×C67C2semidirect
36. C67⋊#564C22semidirect
38. #16864150C22semidirect
40. #16864147C22semidirect
41. #16864147C22semidirect
42. #16864147C22semidirect
45. #16864145C22semidirect
46. #16864145C22semidirect
51. #16864142C22semidirect
52. #16864131C22semidirect
53. #16864131C22semidirect
54. #16864131C22semidirect
55. #16864131C22semidirect
56. #16864129C22semidirect
57. #16864129C22semidirect
58. #16864129C22semidirect
59. #16864126C22semidirect
60. #16864126C22semidirect
61. #16864125C22semidirect
62. #16864124C22semidirect
63. #16864124C22semidirect
64. #16864123C22semidirect
65. #16864123C22semidirect
66. #16864123C22semidirect
67. #16864122C22semidirect
68. #16864121C22semidirect
69. #16864121C22semidirect
70. #16864121C22semidirect
72. #16864119C22semidirect
73. #16864119C22semidirect
75. #16864118C22semidirect
76. #16864118C22semidirect
77. #16864118C22semidirect
78. #16864118C22semidirect
80. #16864117C22semidirect
81. #16864116C22semidirect
82. #16864116C22semidirect
83. #16864107C22semidirect
84. #16864107C22semidirect
87. #16864102C22semidirect
88. #16864102C22semidirect
89. #16864102C22semidirect
101. #16864087C22semidirect
103. #16864081C22semidirect
104. #16864080C22semidirect
106. #16864078C22semidirect
107. #16864068C22semidirect
108. #16864067C22semidirect
109. #16864067C22semidirect
110. #16864061C22semidirect
111. #16864061C22semidirect
112. #16864061C22semidirect
113. Q8×C22⋊D67C22semidirect
124. #16864048C22semidirect
126. #16864047C22semidirect
127. #16864027C22semidirect
128. #16864023C22semidirect
129. #16864023C22semidirect
137. #16864019C22semidirect
142. #16864018C22semidirect
145. #16864016C22semidirect
151. #16864007C22semidirect
152. #16864006C22semidirect
153. #16864006C22semidirect
155. #16864005C22semidirect
156. #16864005C22semidirect
160. #16864004C22semidirect
161. #16864004C22semidirect
170. #16863994C22semidirect
172. #16863993C22semidirect
174. #16863992C22semidirect
175. #16863992C22semidirect
186. #16863971C22semidirect
188. #16863970C22semidirect
190. #16863969C22semidirect
207. #16863950C22semidirect
208. #16863950C22semidirect
209. #16863950C22semidirect
210. #16863950C22semidirect
211. #16863950C22semidirect
232. #16863933C22semidirect
233. #16863933C22semidirect
240. #16863930C22semidirect
241. #16863930C22semidirect
250. #16863924C22semidirect
251. #16863924C22semidirect
252. #16863924C22semidirect
266. C4×#11761629C22semidirect
271. C4×#11761628C22semidirect
272. C4×#11761628C22semidirect
278. C4×Q8×D67C22semidirect
279. C4×Q8×D67C22semidirect
282. Q82×C67C22semidirect
283. #557×C67C22semidirect
284. #557×C67C22semidirect
287. #554×C67C22semidirect
288. #554×C67C22semidirect
290. D4×Q8×C67C22semidirect
293. #533×C67C22semidirect
294. #533×C67C22semidirect
298. C2×C4×Q8×C67C22semidirect
1295. Q8×#41D67semidirect
1304. C67#62761semidirect
1330. Q82C2×D67semidirect
1341. #557C2×D67semidirect
1342. #557C2×D67semidirect
1367. #554C2×D67semidirect
1368. #554C2×D67semidirect
1393. D4×Q8C2×D67semidirect
1494. #533C2×D67semidirect
1495. #533C2×D67semidirect
1565. C2×C4×Q8C2×D67semidirect

Maximal subgroups

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

subgroupindex
#225747162
#225747102
#225747012
#225747002
#225746982
#225746892
#225746832
#225746812
#225746722
#225746612
#225746522
#225746442
#225746162
#225746152
#225746082
#225745072
#225745032
#225744952
#225743562
#225738272
#225738262
#225738042
#225738022
#225737872
#225736422
#225736402
#225736012
#225735942
#225735062
#225735022
C2×#168639502
Q8×#41×C672
#6276167