Finite Group Databasebeta

← #31763678

Subgroups — #31763678

Order 17152.

6518 conjugacy classes of subgroups.

The subgroup lattice has 2552 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574705C214yesmaximal, complemented
2#22574701C211yesmaximal, characteristic, complemented
3#22574692C212yesmaximal, complemented
4#22574684C212yesmaximal, complemented
5#22574675C212yesmaximal, complemented
6#22574667C212yesmaximal, complemented
7#22574656C214yesmaximal, complemented
8#22574655C211yesmaximal, characteristic, complemented
9#22574651C211yesmaximal, characteristic, complemented
10#22574647C211yesmaximal, characteristic, complemented
11#22574639C211yesmaximal, characteristic, complemented
12#22574622C211yesmaximal, characteristic, complemented
13#22574616C211yesmaximal, characteristic, complemented
14#22574606C211yesmaximal, characteristic, complemented
15#22574509C212yesmaximal, complemented
16#22574505C212yesmaximal, complemented
17#22574500C212yesmaximal, complemented
18#22574492C212yesmaximal, complemented
19#22574354C214yesmaximal, complemented
20#22573831C211yesmaximal, characteristic, complemented
21#22573827C211yesmaximal, characteristic, complemented
22#22573824C211yesmaximal, characteristic, complemented
23#22573807C212yesmaximal, complemented
24#22573800C212yesmaximal, complemented
25Q8×#11761628C212yesmaximal, complemented
26#22573787C212yesmaximal, complemented
27#22573642C212yesmaximal, complemented
28#22573640C212yesmaximal, complemented
29#22573636C212yesmaximal, complemented
30#22573634C212yesmaximal, complemented
31#22573592C214yesmaximal, complemented
32#22573502C211yesmaximal, characteristic, complemented
33#22573502C211yesmaximal, characteristic, complemented
34#533×D67C211yesmaximal, characteristic, complemented
35C67×#3482C211yesmaximal, characteristic, complemented
36C67⋊#564C2214yescomplemented
37#16864150C2214yescomplemented
38#16864149C2214yes—
39#16864149C2214yescomplemented
40#16864148C2214yes—
41#16864148C2214yes—
42#16864148C2214yescomplemented
43#16864148C2214yescomplemented
44#16864147C2214yescomplemented
45#16864147C2214yescomplemented
46#16864146C2214yes—
47#16864143C2214yes—
48#16864143C2214yescomplemented
49#16864141C2214yes—
50#16864141C2214yes—
51#16864140C2214yes—
52#16864130C2214yescomplemented
53#16864129C2212yescomplemented
54#16864129C2214yescomplemented
55#16864128C2212yescomplemented
56Q8×Dic134C2212yescomplemented
57#16864126C2212yescomplemented
58#16864125C2211yescharacteristic, complemented
59#16864124C2211yescharacteristic, complemented
60#16864124C2212yescomplemented
61#16864124C2214yescomplemented
62#16864123C2212yescomplemented
63#16864123C2214yescomplemented
64#16864122C2212yescomplemented
65#16864121C2211yescharacteristic, complemented
66#16864121C2212yescomplemented
67#16864120C2211yescharacteristic, complemented
68#16864119C2211yescharacteristic, complemented
69#16864117C2212yes—
70#16864117C2212yescomplemented
71#16864116C2212yes—
72#16864116C2211yescharacteristic, complemented
73#16864114C2212yes—
74#16864114C2212yescomplemented
75#16864114C2214yescomplemented
76#16864113C2214yescomplemented
77#16864107C2212yes—
78#16864106C2212yes—
79#16864106C2214yes—
80#16864104C2212yes—
81#16864104C2212yescomplemented
82#16864102C2214yes—
83#16864101C2212yes—
84#16864101C2214yes—
85#16864101C2212yescomplemented
86#16864101C2214yescomplemented
87#16864100C2214yes—
88#16864100C2214yescomplemented
89#16864099C2212yes—
90#16864097C2214yes—
91#16864096C2212yes—
92#16864096C2214yes—
93#16864093C2212yes—
94#16864091C2214yes—
95#16864090C2212yes—
96#16864090C2214yes—
97#16864086C2212yes—
98#16864085C2212yes—
99#16864085C2214yescomplemented
100#16864080C2212yes—
101#16864079C2214yescomplemented
102#16864078C2214yescomplemented
103#16864065C2212yescomplemented
104#16864064C2212yescomplemented
105Q8×D268C2212yes—
106Q8×D268C2211yescharacteristic, complemented
107D4×Dic134C2211yescharacteristic, complemented
108#16864061C2212yes—
109#16864061C2211yescharacteristic, complemented
110Q8×C22⋊D67C2212yes—
111Q8×C22⋊D67C2212yescomplemented
112#16864059C2212yes—
113#16864059C2212yescomplemented
114#16864058C2212yes—
115#16864056C2212yes—
116#16864056C2212yes—
117#16864055C2212yes—
118#16864054C2212yes—
119#16864053C2212yes—
120#16864053C2212yes—
121#16864051C2212yes—
122#16864051C2211yescharacteristic, complemented
123#16864050C2211yescharacteristic, complemented
124#16864049C2211yescharacteristic, complemented
125#16864048C2212yes—
126#16864045C2212yes—
127#16864027C2212yescomplemented
128#16864026C2212yescomplemented
129#16864024C2212yescomplemented
130#16864023C2212yescomplemented
131#16864020C2212yes—
132#16864019C2212yescomplemented
133#16864018C2212yes—
134#16864018C2214yes—
135#16864018C2212yescomplemented
136#16864017C2214yes—
137#16864016C2214yes—
138#16864016C2214yes—
139#16864015C2212yes—
140#16864014C2214yes—
141#16864014C2214yes—
142#16864013C2212yescomplemented
143#16864012C2214yes—
144#16864011C2212yes—
145#16864011C2212yescomplemented
146#16864010C2214yes—
147#16864009C2212yes—
148#16864008C2214yescomplemented
149#16864007C2212yes—
150#16864006C2212yescomplemented
151#16864006C2212yescomplemented
152#16864005C2214yes—
153#16864005C2214yescomplemented
154#16864004C2212yes—
155#16864004C2212yes—
156#16864004C2212yescomplemented
157#16864004C2212yescomplemented
158#16864004C2214yescomplemented
159#16864003C2214yes—
160#16864003C2214yescomplemented
161#16863998C2214yes—
162#16863996C2214yes—
163#16863994C2214yes—
164#16863994C2214yes—
165#16863993C2214yes—
166#16863993C2214yescomplemented
167#16863992C2214yes—
168#16863992C2214yescomplemented
169#16863989C2214yes—
170#16863989C2214yescomplemented
171#16863988C2214yes—
172#16863988C2214yescomplemented
173#16863987C2214yes—
174#16863987C2214yes—
175#16863985C2214yes—
176#16863982C2214yes—
177#16863980C2214yes—
178#16863978C2214yes—
179#16863977C2212yes—
180#16863976C2212yes—
181#16863975C2212yes—
182#16863974C2212yes—
183#16863972C2212yes—
184#16863971C2212yescomplemented
185#16863970C2212yes—
186#16863970C2212yescomplemented
187#16863969C2212yes—
188#16863969C2212yes—
189#16863967C2212yescomplemented
190#16863966C2212yescomplemented
191#16863953C2211yescharacteristic
192#16863953C2212yescomplemented
193#16863953C2214yescomplemented
194#16863952C2212yes—
195#16863951C2211yescharacteristic
196#16863951C2211yescharacteristic
197#16863950C2214yes—
198#16863950C2211yescharacteristic
199#16863950C2211yescharacteristic
200#16863950C2212yes—
201#16863950C2212yes—
202#16863950C2211yescharacteristic
203#16863950C2211yescharacteristic
204#16863950C2212yescomplemented
205#16863950C2212yescomplemented
206#16863950C2214yescomplemented
207#16863950C2214yescomplemented
208#16863949C2212yes—
209#16863949C2211yescharacteristic
210#16863949C2211yescharacteristic
211#16863949C2214yescomplemented
212#16863948C2212yes—
213#16863948C2212yes—
214#16863943C2211yescharacteristic
215#16863943C2211yescharacteristic
216#16863943C2214yes—
217#16863943C2211yescharacteristic
218#16863943C2211yescharacteristic
219#16863942C2211yescharacteristic
220#16863942C2211yescharacteristic
221C4⋊Q8×D67C2211yescharacteristic
222C4⋊Q8×D67C2211yescharacteristic
223#16863933C2214yes—
224#16863933C2211yescharacteristic
225#16863933C2211yescharacteristic
226#16863933C2211yescharacteristic
227#16863933C2211yescharacteristic
228#16863933C2212yescomplemented
229#16863930C2214yes—
230#16863930C2212yescomplemented
231#16863930C2214yescomplemented
232#16863928C2214yes—
233#16863928C2211yescharacteristic
234#16863928C2211yescharacteristic
235#16863928C2211yescharacteristic
236#16863928C2211yescharacteristic
237#16863928C2212yescomplemented
238#16863928C2214yescomplemented
239#16863926C2214yes—
240#16863926C2212yes—
241#16863926C2212yes—
242#16863926C2214yes—
243#16863926C2212yes—
244#16863926C2212yes—
245#16863926C2214yescomplemented
246#16863924C2214yes—
247#16863924C2214yes—
248#16863924C2212yes—
249#16863924C2212yes—
250#16863924C2212yes—
251#16863924C2212yes—
252#16863924C2214yescomplemented
253#125×D67C2212yes—
254#16863908C2211yescharacteristic
255#16863908C2211yescharacteristic
256#16863905C2212yes—
257#16863905C2212yes—
258#16863905C2212yes—
259#16863905C2212yes—
260#16863903C2211yescharacteristic
261#16863903C2211yescharacteristic
262C22⋊Q8×D67C2212yes—
263C22⋊Q8×D67C2212yes—
264C4×#11761629C2212yescomplemented
265C4×#11761628C2211yescharacteristic
266C4×#11761628C2211yescharacteristic
267C4×#11761628C2214yes—
268C4×#11761628C2212yes—
269C4×#11761628C2212yes—
270C4×#11761628C2212yes—
271C4×#11761628C2212yes—
272C4×#11761628C2212yescomplemented
273#16863864C2214yes—
274C4×#11761627C2212yescomplemented
275C2×C4×Dic134C2212yescomplemented
276C4×Q8×D67C2212yes—
277C4×Q8×D67C2212yes—
278C4×Q8×D67C2212yescomplemented
279C4×Q8×D67C2212yescomplemented
280#117×D67C2212yes—
281C2×C42×D67C2211yescharacteristic
282#557×C67C2211yescharacteristic, complemented
283#556×C67C2212yes—
284#556×C67C2211yescharacteristic, complemented
285#552×C67C2212yes—
286#552×C67C2214yescomplemented
287D4×Q8×C67C2211yescharacteristic, complemented
288#548×C67C2212yes—
289#547×C67C2212yes—
290#547×C67C2211yescharacteristic, complemented
291#533×C67C2211yescharacteristic
292#533×C67C2212yescomplemented
293#529×C67C2214yes—
294#529×C67C2212yescomplemented
295C4×#41×C67C2211yescharacteristic
296C4×#41×C67C2211yescharacteristic
297C4×#41×C67C2212yescomplemented
298C2×C4×Q8×C67C2212yescomplemented
299C2×#11761629C2312yes—
300C2×#11761628C2312yes—
301C2×#11761628C2312yes—
302C2×#11761628C2311yescharacteristic
303C2×#11761628C2311yescharacteristic
304C2×#11761628C2312yes—
305C2×#11761628C2312yes—
306C2×#11761628C2312yes—
307C2×#11761627C2312yes—
308C22×Dic134C2312yes—
309C2×Q8×D67C2312yes—
310C2×Q8×D67C2312yes—
311C2×Q8×D67C2312yes—
312C2×Q8×D67C2312yes—
313C22×C4×D67C2311yescharacteristic
314C22×C4×D67C2311yescharacteristic
315C22×C4×D67C2311yescharacteristic
316#14524043C2314yes—
317#14524043C2312yes—
318#14524043C2312yes—
319#14524043C2314yes—
320#14524043C2311yescharacteristic
321#14524043C2311yescharacteristic
322#14524042C2314yes—
323#14524042C2314yes—
324#14524042C2314yes—
325#14524042C2312yes—
326#14524042C2312yes—
327#14524042C2314yes—
328#14524042C2312yes—
329#14524042C2314yes—
330#14524042C2314yes—
331#14524042C2312yes—
332#14524042C2311yescharacteristic
333#14524042C2311yescharacteristic
334#14524042C2311yescharacteristic
335#14524042C2311yescharacteristic
336#14524042C2312yes—
337#14524042C2312yes—
338#14524041C2312yes—
339#14524041C2312yes—
340#14524041C2312yes—
341#14524041C2312yes—
342#14524041C2314yes—
343#14524041C2314yes—
344#14524041C2314yes—
345#14524041C2311yescharacteristic
346#14524041C2311yescharacteristic
347#14524039C2311yescharacteristic
348#14524039C2314yes—
349#14524039C2311yescharacteristic
350#14524038C2314yes—
351#14524038C2314yes—
352#14524038C2312yes—
353#14524038C2314yes—
354#14524038C2314yes—
355#14524038C2314yes—
356#14524038C2314yes—
357#14524038C2312yes—
358#14524038C2314yes—
359#14524038C2314yes—
360#14524038C2314yes—
361#14524038C2312yes—
362#14524038C2312yes—
363#14524037C2314yes—
364#14524037C2314yes—
365#14524037C2314yes—
366#14524037C2314yes—
367#14524037C2314yes—
368#14524036C2314yes—
369#14524036C2314yes—
370#14524036C2314yes—
371#14524036C2312yes—
372#14524036C2314yes—
373#14524036C2314yes—
374#14524036C2314yes—
375#14524036C2314yes—
376#14524036C2314yes—
377#14524036C2312yes—
378#14524036C2314yes—
379#14524036C2314yes—
380#14524036C2314yes—
381#14524036C2312yes—
382#14524036C2312yes—
383#14524035C2314yes—
384#14524035C2314yes—
385#14524035C2314yes—
386#14524035C2314yes—
387#14524035C2314yes—
388#14524035C2312yes—
389#14524035C2312yes—
390#14524034C2314yes—
391#14524034C2314yes—
392#14524034C2312yes—
393#14524034C2312yes—
394#14524034C2311yescharacteristic
395#14524034C2311yescharacteristic
396#14524034C2314yes—
397#14524034C2311yescharacteristic
398#14524034C2311yescharacteristic
399#14524034C2314yes—
400#14524034C2314yes—
401#14524034C2312yes—
402#14524034C2312yes—
403#14524033C2314yes—
404#14524033C2314yes—
405#14524033C2314yes—
406#14524033C2314yes—
407#14524033C2314yes—
408#14524033C2314yes—
409#14524033C2314yes—
410#14524033C2314yes—
411#14524033C2314yes—
412#14524033C2314yes—
413#14524033C2314yes—
414#14524033C2314yes—
415#14524033C2314yes—
416#14524033C2314yes—
417#14524033C2314yes—
418#14524033C2314yes—
419#14524033C2312yes—
420#14524033C2312yes—
421#14524033C2312yes—
422#14524033C2312yes—
423#14524032C2314yes—
424#14524032C2312yes—
425#14524032C2311yescharacteristic
426#14524032C2311yescharacteristic
427#14524031C2314yes—
428#14524031C2314yes—
429#14524031C2312yes—
430#14524030C2312yes—
431#14524030C2311yescharacteristic
432#14524030C2311yescharacteristic
433#14524030C2314yes—
434#14524030C2314yes—
435#14524029C2314yes—
436#14524029C2314yes—
437#14524029C2314yes—
438#14524029C2314yes—
439#14524029C2314yes—
440#14524029C2314yes—
441#14524029C2314yes—
442#14524029C2314yes—
443#14524029C2312yes—
444#14524029C2312yes—
445#14524029C2312yes—
446#14524029C2312yes—
447#14524028C2314yes—
448#14524028C2312yes—
449#14524028C2314yes—
450#14524028C2312yes—
451#14524028C2314yes—
452#14524028C2314yes—
453#14524028C2314yes—
454#14524028C2314yes—
455#14524028C2312yes—
456#14524028C2312yes—
457#14524027C2314yes—
458#14524027C2314yes—
459#14524027C2314yes—
460#14524027C2312yes—
461#14524027C2312yes—
462#14524026C2314yes—
463#14524026C2314yes—
464#14524026C2314yes—
465#14524026C2314yes—
466#14524026C2314yes—
467#14524025C2314yes—
468#14524025C2312yes—
469#14524025C2314yes—
470#14524025C2312yes—
471#14524025C2314yes—
472#14524025C2314yes—
473#14524025C2314yes—
474#14524025C2314yes—
475#14524025C2314yes—
476#14524025C2314yes—
477#14524025C2312yes—
478#14524025C2312yes—
479#14524024C2314yes—
480#14524024C2314yes—
481#14524024C2314yes—
482#14524024C2312yes—
483#14524024C2312yes—
484#14524023C2311yescharacteristic
485#14524023C2312yes—
486#14524023C2312yes—
487#14524023C2312yes—
488#14524023C2314yes—
489#14524023C2311yescharacteristic
490#14524023C2312yes—
491#14524023C2312yes—
492#14524023C2314yes—
493#14524023C2314yes—
494#14524023C2314yes—
495#14524023C2311yescharacteristic
496#14524023C2311yescharacteristic
497#14524023C2314yes—
498#14524022C2312yes—
499#14524022C2312yes—
500#14524022C2314yes—
501#14524022C2314yes—
502#14524022C2314yes—
503#14524022C2314yes—
504#14524022C2312yes—
505#14524022C2314yes—
506#14524022C2314yes—
507#14524022C2314yes—
508#14524022C2312yes—
509#14524022C2312yes—
510#14524021C2312yes—
511#14524021C2312yes—
512#14524021C2314yes—
513#14524021C2314yes—
514#14524021C2314yes—
515#14524021C2314yes—
516#14524021C2314yes—
517#14524021C2314yes—
518#14524021C2314yes—
519#14524021C2314yes—
520#14524021C2314yes—
521#14524021C2314yes—
522#14524021C2314yes—
523#14524021C2314yes—
524#14524021C2314yes—
525#14524021C2312yes—
526#14524021C2312yes—
527#14524020C2312yes—
528#14524020C2312yes—
529#14524020C2314yes—
530#14524020C2314yes—
531#14524020C2314yes—
532#14524020C2314yes—
533#14524020C2314yes—
534#14524020C2314yes—
535#14524020C2314yes—
536#14524020C2314yes—
537#14524020C2314yes—
538#14524020C2312yes—
539#14524020C2312yes—
540#14524019C2311yescharacteristic
541#14524019C2312yes—
542#14524019C2314yes—
543#14524019C2312yes—
544#14524019C2312yes—
545#14524019C2311yescharacteristic
546#14524019C2312yes—
547#14524019C2314yes—
548#14524019C2312yes—
549#14524019C2314yes—
550#14524019C2311yescharacteristic
551#14524019C2314yes—
552#14524019C2311yescharacteristic
553#14524018C2311yescharacteristic
554#14524018C2314yes—
555#14524018C2312yes—
556#14524018C2311yescharacteristic
557#14524018C2311yescharacteristic
558#14524018C2311yescharacteristic
559#14524018C2314yes—
560#14524017C2314yes—
561#14524017C2312yes—
562#14524017C2314yes—
563#14524016C2312yes—
564#14524016C2312yes—
565#14524016C2314yes—
566#14524016C2314yes—
567#14524016C2314yes—
568#14524016C2314yes—
569#14524016C2314yes—
570#14524016C2312yes—
571#14524016C2312yes—
572#14524015C2312yes—
573#14524015C2312yes—
574#14524015C2314yes—
575#14524015C2314yes—
576#14524015C2314yes—
577#14524015C2312yes—
578#14524015C2312yes—
579#14524014C2311yescharacteristic
580#14524014C2312yes—
581#14524014C2311yescharacteristic
582#14524014C2314yes—
583#14524014C2311yescharacteristic
584#14524014C2314yes—
585#14524014C2311yescharacteristic
586#14524014C2314yes—
587#14524013C2312yes—
588#14524013C2312yes—
589#14524011C2312yes—
590#14524011C2312yes—
591Q8×Dic67C2312yes—
592Q8×Dic67C2312yes—
593Q8×Dic67C2312yes—
594Q8×Dic67C2312yes—
595Q8×Dic67C2312yes—
596C4×Dic134C2314yes—
597C4×Dic134C2312yes—
598C4×Dic134C2312yes—
599C4×Dic134C2312yes—
600C4×Dic134C2312yes—
601C4×Dic134C2314yes—
602C4×Dic134C2312yes—
603C4×Dic134C2314yes—
604C4×Dic134C2311yescharacteristic
605C4×Dic134C2311yescharacteristic
606C4×Dic134C2312yes—
607C4×Dic134C2312yes—
608C4×Dic134C2312yes—
609C4×Dic134C2312yes—
610C4×Dic134C2314yes—
611C4×Dic134C2314yes—
612C4×Dic134C2311yescharacteristic
613C4×Dic134C2314yes—
614C4×Dic134C2314yes—
615C4×Dic134C2311yescharacteristic
616C4×Dic134C2314yes—
617C4×Dic134C2312yes—
618C4×Dic134C2312yes—
619C4×Dic134C2312yes—
620C4×Dic134C2312yes—
621#14524008C2314yes—
622#14524008C2314yes—
623#14524008C2314yes—
624#14524008C2314yes—
625#14524008C2312yes—
626#14524008C2312yes—
627#14524008C2312yes—
628#14524008C2312yes—
629#14524008C2312yes—
630#14524008C2314yes—
631#14524008C2314yes—
632C4×D268C2312yes—
633C4×D268C2312yes—
634C4×D268C2312yes—
635C4×D268C2311yescharacteristic
636C4×D268C2311yescharacteristic
637C4×D268C2312yes—
638C4×D268C2312yes—
639C4×D268C2314yes—
640C4×D268C2314yes—
641C4×D268C2312yes—
642C4×D268C2312yes—
643C4×D268C2311yescharacteristic
644C4×D268C2311yescharacteristic
645C4×D268C2312yes—
646C4×D268C2312yes—
647C4×D268C2314yes—
648D4×Dic67C2312yes—
649#14524005C2312yes—
650#14524005C2314yes—
651#14524005C2314yes—
652#14524005C2314yes—
653C4×C22⋊D67C2312yes—
654C4×C22⋊D67C2314yes—
655C4×C22⋊D67C2312yes—
656C4×C22⋊D67C2314yes—
657C4×C22⋊D67C2312yes—
658C4×C22⋊D67C2312yes—
659C4×C22⋊D67C2312yes—
660C4×C22⋊D67C2314yes—
661C4×C22⋊D67C2314yes—
662C4×C22⋊D67C2312yes—
663C4×C22⋊D67C2312yes—
664C4×C22⋊D67C2314yes—
665C4×C22⋊D67C2312yes—
666C4×C22⋊D67C2312yes—
667C4×C22⋊D67C2312yes—
668C4×C22⋊D67C2312yes—
669C4×C22⋊D67C2312yes—
670C4×C22⋊D67C2314yes—
671C4×C22⋊D67C2312yes—
672C4×C22⋊D67C2312yes—
673C4×C22⋊D67C2312yes—
674C4×C22⋊D67C2312yes—
675C4×C22⋊D67C2312yes—
676C4×C22⋊D67C2312yes—
677C4×C22⋊D67C2312yes—
678C4×C22⋊D67C2312yes—
679C4×C22⋊D67C2314yes—
680(C22⋊D67)⋊C4C2314yes—
681(C22⋊D67)⋊C4C2314yes—
682(C22⋊D67)⋊C4C2314yes—
683(C22⋊D67)⋊C4C2314yes—
684(C22⋊D67)⋊C4C2314yes—
685#14524002C2312yes—
686#14524002C2312yes—
687#14524002C2312yes—
688#14524002C2311yescharacteristic
689#14524002C2311yescharacteristic
690#14524002C2312yes—
691#14524002C2312yes—
692#14524002C2312yes—
693#14524002C2314yes—
694#14524001C2312yes—
695#14524001C2314yes—
696#14524001C2312yes—
697#14524001C2312yes—
698#14524001C2312yes—
699#14524000C2312yes—
700#14524000C2312yes—
701#14524000C2312yes—
702#14524000C2314yes—
703#14524000C2312yes—
704#14524000C2312yes—
705#14524000C2312yes—
706#14524000C2314yes—
707#14524000C2312yes—
708#14524000C2314yes—
709#14524000C2312yes—
710#14524000C2312yes—
711#14524000C2314yes—
712#14524000C2312yes—
713#14523999C2314yes—
714#14523999C2314yes—
715C2×C4⋊Dic67C2312yes—
716C2×Dic67⋊C4C2314yes—
717C4⋊C4×D67C2312yes—
718C4⋊C4×D67C2312yes—
719C4⋊C4×D67C2314yes—
720C4⋊C4×D67C2314yes—
721C4⋊C4×D67C2314yes—
722C4⋊C4×D67C2312yes—
723C4⋊C4×D67C2314yes—
724C4⋊C4×D67C2312yes—
725C4⋊C4×D67C2312yes—
726C4⋊C4×D67C2312yes—
727C22⋊C4×D67C2314yes—
728C2×C4×Dic67C2311yescharacteristic
729C2×C4×Dic67C2311yescharacteristic
730C2×C4×Dic67C2311yescharacteristic
731C2×C4×Dic67C2314yes—
732C42×D67C2311yescharacteristic
733C42×D67C2311yescharacteristic
734C42×D67C2311yescharacteristic
735C42×D67C2311yescharacteristic
736C42×D67C2311yescharacteristic
737C42×D67C2311yescharacteristic
738C42×D67C2311yescharacteristic
739C42×D67C2311yescharacteristic
740C42×D67C2314yes—
741C42×D67C2312yes—
742C42×D67C2314yes—
743C42×D67C2312yes—
744C42×D67C2314yes—
745C2×#41×C67C2311yescharacteristic
746C2×#41×C67C2311yescharacteristic
747C2×#41×C67C2312yes—
748C22×Q8×C67C2312yes—
749C4⋊Q8×C67C2312yes—
750C4⋊Q8×C67C2312yes—
751C4⋊Q8×C67C2311yescharacteristic
752C4⋊Q8×C67C2311yescharacteristic
753#126×C67C2314yes—
754#126×C67C2314yes—
755#126×C67C2314yes—
756#125×C67C2314yes—
757#125×C67C2314yes—
758#125×C67C2312yes—
759#125×C67C2312yes—
760#124×C67C2314yes—
761#124×C67C2312yes—
762#123×C67C2314yes—
763#123×C67C2314yes—
764#123×C67C2314yes—
765C22⋊Q8×C67C2312yes—
766C22⋊Q8×C67C2312yes—
767C22⋊Q8×C67C2314yes—
768C22⋊Q8×C67C2314yes—
769C22⋊Q8×C67C2312yes—
770C22⋊Q8×C67C2312yes—
771C22⋊Q8×C67C2312yes—
772#121×C67C2312yes—
773#121×C67C2314yes—
774C4×Q8×C67C2312yes—
775C4×Q8×C67C2312yes—
776C4×Q8×C67C2312yes—
777C4×Q8×C67C2314yes—
778C4×Q8×C67C2311yescharacteristic
779C4×Q8×C67C2311yescharacteristic
780C4×Q8×C67C2314yes—
781C4×Q8×C67C2312yes—
782C4×Q8×C67C2311yescharacteristic
783C4×Q8×C67C2311yescharacteristic
784C4×Q8×C67C2312yes—
785C4×D4×C67C2312yes—
786C4×D4×C67C2311yescharacteristic
787C4×D4×C67C2312yes—
788C4×D4×C67C2311yescharacteristic
789C4×D4×C67C2312yes—
790C4×D4×C67C2311yescharacteristic
791C4×D4×C67C2312yes—
792C4×D4×C67C2312yes—
793C4×D4×C67C2311yescharacteristic
794C4×D4×C67C2314yes—
795C4×D4×C67C2314yes—
796#117×C67C2314yes—
797#117×C67C2312yes—
798#117×C67C2312yes—
799#117×C67C2311yescharacteristic
800#117×C67C2312yes—
801#117×C67C2311yescharacteristic
802#117×C67C2312yes—
803#117×C67C2314yes—
804C2×C4⋊C4×C67C2312yes—
805C2×C4⋊C4×C67C2314yes—
806C2×C42×C67C2312yes—
807C2×C42×C67C2314yes—
808C2×C42×C67C2311yescharacteristic
809C2×C42×C67C2312yes—
810C23×D67C2411yescharacteristic
811#11761629—44no—
812#11761628—28no—
813#11761628—28no—
814#11761628—42no—
815#11761628—44no—
816#11761628—42no—
817#11761628—44no—
818#11761628—44no—
819#11761627—44no—
820C2×Dic134—44no—
821C2×Dic134C2412yes—
822C2×Dic134C2412yes—
823C2×Dic134C2411yescharacteristic
824C2×Dic134C2412yes—
825C2×Dic134C2412yes—
826C2×Dic134C2411yescharacteristic
827C2×Dic134C2414yes—
828C2×Dic134C2414yes—
829C2×Dic134C2414yes—
830C2×Dic134C2414yes—
831C2×Dic134C2412yes—
832C2×Dic134C2414yes—
833C2×Dic134C2412yes—
834Q8×D67—44no—
835Q8×D67—44no—
836Q8×D67—44no—
837Q8×D67—44no—
838C2×D268C2412yes—
839C2×D268C2411yescharacteristic
840C2×D268C2412yes—
841C2×D268C2411yescharacteristic
842C2×D268C2414yes—
843C2×D268C2412yes—
844C2×D268C2412yes—
845C2×C22⋊D67C2412yes—
846C2×C22⋊D67C2412yes—
847C2×C22⋊D67C2412yes—
848C2×C22⋊D67C2412yes—
849C2×C22⋊D67C2414yes—
850C2×C22⋊D67C2412yes—
851C2×C22⋊D67C2412yes—
852C2×C22⋊D67C2412yes—
853C2×C22⋊D67C2412yes—
854C2×C22⋊D67C2414yes—
855C2×C22⋊D67C2412yes—
856C2×C22⋊D67C2412yes—
857C22×Dic67C2411yescharacteristic
858C22×Dic67C2411yescharacteristic
859C22×Dic67C2411yescharacteristic
860C22×Dic67C2414yes—
861C22×Dic67C2414yes—
862C2×C4×D67—24no—
863C2×C4×D67—42no—
864C2×C4×D67—42no—
865C2×C4×D67C2412yes—
866C2×C4×D67C2412yes—
867C2×C4×D67C2411yescharacteristic
868C2×C4×D67C2411yescharacteristic
869C2×C4×D67C2411yescharacteristic
870C2×C4×D67C2411yescharacteristic
871C2×C4×D67C2411yescharacteristic
872C2×C4×D67C2411yescharacteristic
873C2×C4×D67C2411yescharacteristic
874C2×C4×D67C2412yes—
875C2×C4×D67C2412yes—
876C2×C4×D67C2411yescharacteristic
877C2×C4×D67C2411yescharacteristic
878C2×C4×D67C2411yescharacteristic
879C2×C4×D67C2411yescharacteristic
880C2×C4×D67C2414yes—
881C2×C4×D67C2414yes—
882C2×C4×D67C2412yes—
883C2×C4×D67C2414yes—
884C2×C4×D67C2412yes—
885C2×C4×D67C2414yes—
886C2×C4×D67C2414yes—
887C2×C4×D67C2414yes—
888C2×C4×D67C2411yescharacteristic
889C4⋊Dic67C2412yes—
890C4⋊Dic67C2411yescharacteristic
891C4⋊Dic67C2412yes—
892C4⋊Dic67C2412yes—
893C4⋊Dic67C2412yes—
894C4⋊Dic67C2414yes—
895C4⋊Dic67C2414yes—
896C4⋊Dic67C2414yes—
897C4⋊Dic67C2414yes—
898C4⋊Dic67C2411yescharacteristic
899C4⋊Dic67C2414yes—
900C4⋊Dic67C2411yescharacteristic
901C4⋊Dic67C2414yes—
902C4⋊Dic67C2411yescharacteristic
903C4⋊Dic67C2412yes—
904C4⋊Dic67C2412yes—
905C4⋊Dic67C2412yes—
906C4⋊Dic67C2412yes—
907C4⋊Dic67C2412yes—
908C4⋊Dic67C2414yes—
909C4⋊Dic67C2412yes—
910C4⋊Dic67C2414yes—
911C4⋊Dic67C2412yes—
912C4⋊Dic67C2412yes—
913Dic67⋊C4C2414yes—
914Dic67⋊C4C2412yes—
915Dic67⋊C4C2414yes—
916Dic67⋊C4C2414yes—
917Dic67⋊C4C2414yes—
918Dic67⋊C4C2414yes—
919Dic67⋊C4C2414yes—
920Dic67⋊C4C2414yes—
921Dic67⋊C4C2414yes—
922Dic67⋊C4C2414yes—
923Dic67⋊C4C2414yes—
924Dic67⋊C4C2414yes—
925Dic67⋊C4C2414yes—
926Dic67⋊C4C2412yes—
927Dic67⋊C4C2414yes—
928Dic67⋊C4C2414yes—
929Dic67⋊C4C2414yes—
930Dic67⋊C4C2412yes—
931Dic67⋊C4C2412yes—
932Dic67⋊C4C2414yes—
933Dic67⋊C4C2414yes—
934Dic67⋊C4C2412yes—
935Dic67⋊C4C2412yes—
936Dic67⋊C4C2412yes—
937Dic67⋊C4C2412yes—
938Dic67⋊C4C2412yes—
939Dic67⋊C4C2412yes—
940Dic67⋊C4C2414yes—
941Dic67⋊C4C2412yes—
942Dic67⋊C4C2412yes—
943Dic67⋊C4C2412yes—
944Dic67⋊C4C2414yes—
945Dic67⋊C4C2412yes—
946Dic67⋊C4C2412yes—
947Dic67⋊C4C2412yes—
948Dic67⋊C4C2412yes—
949Dic67⋊C4C2412yes—
950Dic67⋊C4C2412yes—
951Dic67⋊C4C2414yes—
952Dic67⋊C4C2412yes—
953C22⋊Dic67C2414yes—
954C22⋊Dic67C2414yes—
955C22⋊Dic67C2412yes—
956C22⋊Dic67C2412yes—
957C22⋊Dic67C2412yes—
958C22⋊Dic67C2414yes—
959C22⋊Dic67C2412yes—
960C22⋊Dic67C2412yes—
961C22⋊Dic67C2414yes—
962C22⋊Dic67C2412yes—
963C22⋊Dic67C2414yes—
964C22⋊Dic67C2412yes—
965C22⋊Dic67C2412yes—
966C22⋊Dic67C2412yes—
967C22⋊Dic67C2412yes—
968(C2×D67)⋊C4C2414yes—
969(C2×D67)⋊C4C2414yes—
970(C2×D67)⋊C4C2412yes—
971(C2×D67)⋊C4C2412yes—
972(C2×D67)⋊C4C2412yes—
973(C2×D67)⋊C4C2412yes—
974(C2×D67)⋊C4C2414yes—
975(C2×D67)⋊C4C2414yes—
976(C2×D67)⋊C4C2412yes—
977(C2×D67)⋊C4C2412yes—
978(C2×D67)⋊C4C2412yes—
979(C2×D67)⋊C4C2412yes—
980(C2×D67)⋊C4C2412yes—
981(C2×D67)⋊C4C2412yes—
982(C2×D67)⋊C4C2414yes—
983(C2×D67)⋊C4C2412yes—
984(C2×D67)⋊C4C2412yes—
985(C2×D67)⋊C4C2412yes—
986(C2×D67)⋊C4C2412yes—
987(C2×D67)⋊C4C2412yes—
988(C2×D67)⋊C4C2412yes—
989(C2×D67)⋊C4C2412yes—
990(C2×D67)⋊C4C2414yes—
991(C2×D67)⋊C4C2412yes—
992(C2×D67)⋊C4C2412yes—
993(C2×D67)⋊C4C2414yes—
994(C2×D67)⋊C4C2412yes—
995(C2×D67)⋊C4C2414yes—
996(C2×D67)⋊C4C2414yes—
997(C2×D67)⋊C4C2414yes—
998C4×Dic67C2412yes—
999C4×Dic67C2411yescharacteristic
1000C4×Dic67C2411yescharacteristic
1001C4×Dic67C2414yes—
1002C4×Dic67C2411yescharacteristic
1003C4×Dic67C2411yescharacteristic
1004C4×Dic67C2411yescharacteristic
1005C4×Dic67C2411yescharacteristic
1006C4×Dic67C2411yescharacteristic
1007C4×Dic67C2411yescharacteristic
1008C4×Dic67C2411yescharacteristic
1009C4×Dic67C2411yescharacteristic
1010C4×Dic67C2411yescharacteristic
1011C4×Dic67C2411yescharacteristic
1012C4×Dic67C2412yes—
1013C4×Dic67C2412yes—
1014C4×Dic67C2414yes—
1015C4×Dic67C2414yes—
1016C4×Dic67C2412yes—
1017C4×Dic67C2414yes—
1018C4×Dic67C2412yes—
1019C4×Dic67C2412yes—
1020C4×Dic67C2414yes—
1021C4×Dic67C2414yes—
1022C4×Dic67C2414yes—
1023C4×Dic67C2414yes—
1024C4×Dic67C2414yes—
1025#41×C67—42no—
1026#41×C67—42no—
1027#41×C67—44no—
1028C2×Q8×C67—44no—
1029C2×Q8×C67C2411yescharacteristic
1030C2×Q8×C67C2412yes—
1031C2×Q8×C67C2411yescharacteristic
1032C2×Q8×C67C2412yes—
1033C2×Q8×C67C2414yes—
1034C2×D4×C67C2411yescharacteristic
1035C2×D4×C67C2411yescharacteristic
1036C2×D4×C67C2412yes—
1037C2×D4×C67C2414yes—
1038C2×D4×C67C2412yes—
1039C22×C4×C67C2412yes—
1040C22×C4×C67C2412yes—
1041C22×C4×C67C2412yes—
1042C22×C4×C67C2411yescharacteristic
1043C22×C4×C67C2411yescharacteristic
1044C22×C4×C67C2411yescharacteristic
1045C22×C4×C67C2412yes—
1046C22×C4×C67C2412yes—
1047C22×C4×C67C2414yes—
1048C22×C4×C67C2414yes—
1049C22×C4×C67C2412yes—
1050C4⋊C4×C67C2411yescharacteristic
1051C4⋊C4×C67C2412yes—
1052C4⋊C4×C67C2412yes—
1053C4⋊C4×C67C2414yes—
1054C4⋊C4×C67C2414yes—
1055C4⋊C4×C67C2414yes—
1056C4⋊C4×C67C2414yes—
1057C4⋊C4×C67C2411yescharacteristic
1058C4⋊C4×C67C2412yes—
1059C4⋊C4×C67C2414yes—
1060C4⋊C4×C67C2411yescharacteristic
1061C4⋊C4×C67C2412yes—
1062C4⋊C4×C67C2411yescharacteristic
1063C4⋊C4×C67C2412yes—
1064C4⋊C4×C67C2414yes—
1065C4⋊C4×C67C2412yes—
1066C4⋊C4×C67C2412yes—
1067C4⋊C4×C67C2414yes—
1068C4⋊C4×C67C2412yes—
1069C4⋊C4×C67C2414yes—
1070C22⋊C4×C67C2412yes—
1071C22⋊C4×C67C2412yes—
1072C22⋊C4×C67C2414yes—
1073C22⋊C4×C67C2412yes—
1074C22⋊C4×C67C2412yes—
1075C22⋊C4×C67C2412yes—
1076C22⋊C4×C67C2412yes—
1077C22⋊C4×C67C2414yes—
1078C22⋊C4×C67C2414yes—
1079C22⋊C4×C67C2414yes—
1080C22⋊C4×C67C2414yes—
1081C42×C67C2411yescharacteristic
1082C42×C67C2411yescharacteristic
1083C42×C67C2412yes—
1084C42×C67C2411yescharacteristic
1085C42×C67C2412yes—
1086C42×C67C2414yes—
1087C42×C67C2412yes—
1088C42×C67C2412yes—
1089C42×C67C2414yes—
1090C42×C67C2411yescharacteristic
1091C42×C67C2412yes—
1092C42×C67C2412yes—
1093C42×C67C2414yes—
1094C23×C67C2511yescharacteristic
1095C23×C67C2512yes—
1096C23×C67C2512yes—
1097C22×D67—22no—
1098C22×D67—41no—
1099C22×D67—41no—
1100C22×D67C2511yescharacteristic
1101C22×D67C2512yes—
1102C22×D67C2512yes—
1103C22×D67C2511yescharacteristic
1104Q8×C67—22no—
1105Q8×C67—24no—
1106Q8×C67—22no—
1107Q8×C67—24no—
1108Q8×C67—44no—
1109D4×C67—22no—
1110D4×C67—22no—
1111D4×C67—42no—
1112D4×C67—44no—
1113D4×C67—42no—
1114C2×C4×C67—22no—
1115C2×C4×C67—24no—
1116C2×C4×C67—24no—
1117C2×C4×C67—24no—
1118C2×C4×C67—22no—
1119C2×C4×C67—22no—
1120C2×C4×C67—24no—
1121C2×C4×C67—44no—
1122C2×C4×C67—44no—
1123C2×C4×C67—42no—
1124C2×C4×C67—42no—
1125C2×C4×C67C2512yes—
1126C2×C4×C67C2511yescharacteristic
1127C2×C4×C67C2511yescharacteristic
1128C2×C4×C67C2512yes—
1129C2×C4×C67C2512yes—
1130C2×C4×C67C2512yes—
1131C2×C4×C67C2511yescharacteristic
1132C2×C4×C67C2514yes—
1133C2×C4×C67C2512yes—
1134C2×C4×C67C2512yes—
1135C2×C4×C67C2514yes—
1136C2×C4×C67C2511yescharacteristic
1137C2×C4×C67C2511yescharacteristic
1138C2×C4×C67C2511yescharacteristic
1139C22⋊D67—24no—
1140C22⋊D67—24no—
1141C22⋊D67—24no—
1142C22⋊D67—24no—
1143C22⋊D67—44no—
1144C22⋊D67—42no—
1145C22⋊D67—42no—
1146C22⋊D67—44no—
1147C22⋊D67—42no—
1148C22⋊D67—42no—
1149C22⋊D67—42no—
1150C22⋊D67—42no—
1151C2×Dic67—22no—
1152C2×Dic67—41no—
1153C2×Dic67—41no—
1154C2×Dic67—44no—
1155C2×Dic67—44no—
1156C2×Dic67C2512yes—
1157C2×Dic67C2512yes—
1158C2×Dic67C2511yescharacteristic
1159C2×Dic67C2514yes—
1160C2×Dic67C2511yescharacteristic
1161C2×Dic67C2511yescharacteristic
1162C2×Dic67C2512yes—
1163C2×Dic67C2512yes—
1164C2×Dic67C2512yes—
1165C2×Dic67C2512yes—
1166C2×Dic67C2514yes—
1167C2×Dic67C2511yescharacteristic
1168C2×Dic67C2511yescharacteristic
1169C2×Dic67C2511yescharacteristic
1170D268—24no—
1171D268—24no—
1172D268—22no—
1173D268—22no—
1174D268—42no—
1175D268—42no—
1176D268—44no—
1177C4×D67—22no—
1178C4×D67—22no—
1179C4×D67—24no—
1180C4×D67—24no—
1181C4×D67—22no—
1182C4×D67—22no—
1183C4×D67—22no—
1184C4×D67—22no—
1185C4×D67—24no—
1186C4×D67—24no—
1187C4×D67—22no—
1188C4×D67—41no—
1189C4×D67—41no—
1190C4×D67—41no—
1191C4×D67—41no—
1192C4×D67—44no—
1193C4×D67—44no—
1194C4×D67—44no—
1195C4×D67—44no—
1196C4×D67—42no—
1197C4×D67—42no—
1198C4×D67—44no—
1199C4×D67—44no—
1200C4×D672−1+414yes—
1201Dic134—24no—
1202Dic134—22no—
1203Dic134—24no—
1204Dic134—22no—
1205Dic134—24no—
1206Dic134—24no—
1207Dic134—44no—
1208Dic134—44no—
1209Dic134—44no—
1210Dic134—44no—
1211Dic134—44no—
1212Dic134—42no—
1213Dic134—42no—
1214C22×C67—21no—
1215C22×C67—22no—
1216C22×C67—22no—
1217C22×C67—22no—
1218C22×C67—22no—
1219C22×C67—21no—
1220C22×C67—21no—
1221C22×C67—22no—
1222C22×C67—22no—
1223C22×C67C2611yescharacteristic
1224C2×D67—21no—
1225C2×D67—21no—
1226C2×D67—21no—
1227C2×D67—22no—
1228C2×D67—22no—
1229C2×D67—22no—
1230C2×D67—22no—
1231C2×D67—21no—
1232C2×D67—21no—
1233C2×D67—22no—
1234C2×D67—22no—
1235C2×D67—44no—
1236C2×D67C2×2−1+412yes—
1237C4×C67—22no—
1238C4×C67—22no—
1239C4×C67—21no—
1240C4×C67—22no—
1241C4×C67—22no—
1242C4×C67—24no—
1243C4×C67—22no—
1244C4×C67—24no—
1245C4×C67—21no—
1246C4×C67—21no—
1247C4×C67—22no—
1248C4×C67C2×2−1+412yes—
1249C4×C67#58512yes—
1250C4×C67#58512yes—
1251Dic67—22no—
1252Dic67—22no—
1253Dic67—21no—
1254Dic67—24no—
1255Dic67—22no—
1256Dic67—22no—
1257Dic67—24no—
1258Dic67—21no—
1259Dic67—21no—
1260Dic67—22no—
1261Dic67—22no—
1262Dic67—21no—
1263Dic67—21no—
1264Dic67C2×2−1+412yes—
1265#62761—671nomaximal, Sylow
1266C2×C67—41no—
1267C2×C67—42no—
1268C2×C67—42no—
1269C2×C67C22×2−1+411yescharacteristic
1270C2×C67C2×#58511yescharacteristic
1271C2×C67C2×#58511yescharacteristic
1272D67—22no—
1273D67—42no—
1274D67—42no—
1275D67—41no—
1276#3557—674no—
1277#3556—671no—
1278#3555—672no—
1279#3555—672no—
1280#3554—672no—
1281#3554—672no—
1282#3553—674no—
1283#3552—671no—
1284#3552—671no—
1285#3552—671no—
1286#3552—671no—
1287#3550—671no—
1288#3550—671no—
1289#3548—671no—
1290#3541—672no—
1291#3541—672no—
1292#3541—672no—
1293#3541—672no—
1294#3531—674no—
1295#3482—671no—
1296#3482—671no—
1297#3482—671no—
1298#3482D6711yescharacteristic, complemented
1299#3480—672no—
1300#3480—672no—
1301Q8×#41—672no—
1302Q8×#41—672no—
1303#3461—672no—
1304#3461—672no—
1305#3461—672no—
1306#3461—672no—
1307#3455—674no—
1308#3444—671no—
1309#3444—671no—
1310C2×#533—671no—
1311C67#6276111yescharacteristic, complemented, Sylow
1312#564—674no—
1313#563—674no—
1314#563—674no—
1315#563—674no—
1316#563—674no—
1317#563—674no—
1318#563—674no—
1319#563—674no—
1320#563—674no—
1321#563—674no—
1322#563—674no—
1323#562—674no—
1324#562—674no—
1325#562—674no—
1326#562—674no—
1327#562—674no—
1328#559—672no—
1329#559—674no—
1330#559—672no—
1331#559—674no—
1332Q82—672no—
1333Q82—672no—
1334#557—672no—
1335#557—671no—
1336#557—674no—
1337#557—672no—
1338#557—672no—
1339#557—672no—
1340#557—674no—
1341#557—671no—
1342#557—671no—
1343#557C2×D6711yescharacteristic, complemented
1344#556—671no—
1345#556—674no—
1346#556—672no—
1347#556—672no—
1348#556—671no—
1349#556—672no—
1350#556—671no—
1351#556—672no—
1352#556—672no—
1353#556—674no—
1354#556C2×D6712yes—
1355#556C2×D6711yescharacteristic, complemented
1356#554—672no—
1357#554—674no—
1358#554—674no—
1359#554—674no—
1360#554—672no—
1361#554—672no—
1362#554—672no—
1363#554—674no—
1364#554—672no—
1365#554—674no—
1366#554—672no—
1367#554—674no—
1368#553—674no—
1369#553—672no—
1370#553—674no—
1371#553—672no—
1372#553—672no—
1373#553—674no—
1374#553—672no—
1375#553—674no—
1376#552—674no—
1377#552—672no—
1378#552—672no—
1379#552—674no—
1380#552—672no—
1381#552—674no—
1382#552C2×D6712yes—
1383#552C2×D6714yescomplemented
1384#550—672no—
1385#550—672no—
1386D4×Q8—672no—
1387D4×Q8—672no—
1388D4×Q8—672no—
1389D4×Q8—671no—
1390D4×Q8—672no—
1391D4×Q8—672no—
1392D4×Q8—672no—
1393D4×Q8—671no—
1394D4×Q8—671no—
1395D4×Q8C2×D6711yescharacteristic, complemented
1396#548—672no—
1397#548—672no—
1398#548—672no—
1399#548—672no—
1400#548—672no—
1401#548—672no—
1402#548—672no—
1403#548C2×D6712yes—
1404#547—672no—
1405#547—671no—
1406#547—672no—
1407#547—671no—
1408#547—672no—
1409#547—671no—
1410#547C2×D6712yes—
1411#547C2×D6711yescharacteristic, complemented
1412#544—672no—
1413#544—672no—
1414#544—672no—
1415#544—672no—
1416#542—672no—
1417#542—674no—
1418#542—674no—
1419#542—672no—
1420#542—674no—
1421#542—674no—
1422#542—674no—
1423#542—674no—
1424#542—672no—
1425#542—672no—
1426#542—672no—
1427#542—674no—
1428#542—672no—
1429#542—672no—
1430#542—672no—
1431#542—674no—
1432#541—672no—
1433#541—674no—
1434#541—674no—
1435#541—674no—
1436#541—674no—
1437#541—672no—
1438#541—672no—
1439#541—672no—
1440#541—672no—
1441#541—672no—
1442#541—672no—
1443#541—672no—
1444#541—674no—
1445#541—674no—
1446#540—674no—
1447#540—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#539—674no—
1457#539—674no—
1458#539—674no—
1459#539—674no—
1460#538—674no—
1461#538—674no—
1462#538—674no—
1463#538—674no—
1464#537—672no—
1465#537—672no—
1466#537—672no—
1467#537—672no—
1468#536—672no—
1469#536—672no—
1470#536—672no—
1471#536—672no—
1472#536—672no—
1473#536—672no—
1474#536—672no—
1475#536—672no—
1476#533—671no—
1477#533—671no—
1478#533—672no—
1479#533—672no—
1480#533—672no—
1481#533—672no—
1482#533—672no—
1483#533—671no—
1484#533—671no—
1485#533—671no—
1486#533—671no—
1487#533—674no—
1488#533—672no—
1489#533—672no—
1490#533—674no—
1491#533—674no—
1492#533—672no—
1493#533—671no—
1494#533—671no—
1495#533—674no—
1496#533—671no—
1497#533—672no—
1498#533—674no—
1499#533C2×D6711yescharacteristic
1500#533C2×D6712yescomplemented
1501#532—671no—
1502#532—671no—
1503#532—671no—
1504#532—671no—
1505#532—671no—
1506#532—671no—
1507#532—674no—
1508C2×C4⋊Q8—671no—
1509C2×C4⋊Q8—671no—
1510#529—671no—
1511#529—671no—
1512#529—671no—
1513#529—671no—
1514#529—674no—
1515#529—672no—
1516#529—671no—
1517#529—671no—
1518#529—672no—
1519#529—672no—
1520#529—672no—
1521#529—672no—
1522#529—671no—
1523#529—671no—
1524#529—674no—
1525#529—674no—
1526#529—674no—
1527#529—672no—
1528#529—674no—
1529#529—674no—
1530#529—672no—
1531#529—672no—
1532#529—672no—
1533#529—672no—
1534#529—674no—
1535#529—674no—
1536#529—674no—
1537#529—674no—
1538#529—672no—
1539#529—674no—
1540#529C2×D6714yes—
1541#529C2×D6712yescomplemented
1542C2×#125—672no—
1543#525—671no—
1544#525—671no—
1545#525—672no—
1546#525—672no—
1547#525—672no—
1548#525—672no—
1549#525—671no—
1550#525—671no—
1551C2×C22⋊Q8—672no—
1552C2×C22⋊Q8—672no—
1553C4×#41—672no—
1554C4×#41—672no—
1555C4×#41—674no—
1556C4×#41—672no—
1557C4×#41—672no—
1558C4×#41—672no—
1559C4×#41—672no—
1560C4×#41—671no—
1561C4×#41—671no—
1562C4×#41—674no—
1563C4×#41—672no—
1564C4×#41C2×D6711yescharacteristic
1565C4×#41C2×D6711yescharacteristic
1566C4×#41C2×D6712yescomplemented
1567C2×C4×Q8—672no—
1568C2×C4×Q8—672no—
1569C2×C4×Q8—672no—
1570C2×C4×Q8—672no—
1571C2×C4×Q8—672no—
1572C2×C4×Q8C2×D6712yescomplemented
1573C2×#117—672no—
1574C22×C42—671no—
1575C2×#41—672no—
1576C2×#41—672no—
1577C2×#41—672no—
1578C2×#41—672no—
1579C2×#41—671no—
1580C2×#41—671no—
1581C2×#41—672no—
1582C2×#41—672no—
1583C2×#41—672no—
1584C2×#41C22×D6711yescharacteristic
1585C2×#41C22×D6711yescharacteristic
1586C2×#41C22×D6712yes—
1587C22×Q8—672no—
1588C22×Q8—672no—
1589C22×Q8—672no—
1590C22×Q8—672no—
1591C22×Q8—672no—
1592C22×Q8C22×D6712yes—
1593C23×C4—671no—
1594C23×C4—671no—
1595C23×C4—671no—
1596C4⋊Q8—672no—
1597C4⋊Q8—672no—
1598C4⋊Q8—671no—
1599C4⋊Q8—671no—
1600C4⋊Q8—672no—
1601C4⋊Q8—672no—
1602C4⋊Q8—674no—
1603C4⋊Q8—674no—
1604C4⋊Q8—674no—
1605C4⋊Q8—672no—
1606C4⋊Q8—672no—
1607C4⋊Q8—672no—
1608C4⋊Q8—672no—
1609C4⋊Q8—671no—
1610C4⋊Q8—671no—
1611C4⋊Q8—671no—
1612C4⋊Q8—671no—
1613C4⋊Q8—674no—
1614C4⋊Q8—674no—
1615C4⋊Q8—674no—
1616C4⋊Q8—674no—
1617C4⋊Q8—672no—
1618C4⋊Q8—672no—
1619C4⋊Q8—674no—
1620C4⋊Q8—674no—
1621C4⋊Q8—671no—
1622C4⋊Q8—671no—
1623C4⋊Q8—672no—
1624C4⋊Q8—674no—
1625C4⋊Q8—672no—
1626C4⋊Q8—674no—
1627C4⋊Q8C22×D6711yescharacteristic
1628C4⋊Q8C22×D6711yescharacteristic
1629C4⋊Q8C22×D6712yes—
1630C4⋊Q8C22×D6712yes—
1631#127—671no—
1632#127—671no—
1633#127—674no—
1634#126—672no—
1635#126—672no—
1636#126—672no—
1637#126—672no—
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—672no—
1648#126—672no—
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#126—674no—
1664#126—674no—
1665#126—674no—
1666#126—674no—
1667#126C22×D6714yes—
1668#126C22×D6714yes—
1669#126C22×D6714yes—
1670#125—674no—
1671#125—674no—
1672#125—672no—
1673#125—672no—
1674#125—671no—
1675#125—671no—
1676#125—671no—
1677#125—671no—
1678#125—672no—
1679#125—672no—
1680#125—672no—
1681#125—672no—
1682#125—674no—
1683#125—674no—
1684#125—674no—
1685#125—674no—
1686#125—674no—
1687#125—674no—
1688#125—674no—
1689#125—674no—
1690#125—674no—
1691#125—672no—
1692#125—672no—
1693#125—674no—
1694#125—674no—
1695#125—674no—
1696#125—674no—
1697#125—674no—
1698#125—674no—
1699#125—674no—
1700#125—674no—
1701#125—674no—
1702#125—674no—
1703#125—672no—
1704#125—674no—
1705#125—674no—
1706#125—672no—
1707#125—674no—
1708#125—674no—
1709#125—674no—
1710#125C22×D6712yes—
1711#125C22×D6714yes—
1712#125C22×D6712yes—
1713#125C22×D6714yes—
1714#124—671no—
1715#124—671no—
1716#124—674no—
1717#124—672no—
1718#124—671no—
1719#124—671no—
1720#124—672no—
1721#124—674no—
1722#124—674no—
1723#124—672no—
1724#124—672no—
1725#124—672no—
1726#124—672no—
1727#124—674no—
1728#124—674no—
1729#124—674no—
1730#124—674no—
1731#124—674no—
1732#124—674no—
1733#124—674no—
1734#124—674no—
1735#124—674no—
1736#124—672no—
1737#124—674no—
1738#124C22×D6714yes—
1739#124C22×D6712yes—
1740#123—672no—
1741#123—672no—
1742#123—674no—
1743#123—674no—
1744#123—674no—
1745#123—674no—
1746#123—674no—
1747#123—674no—
1748#123—674no—
1749#123—674no—
1750#123—672no—
1751#123—672no—
1752#123—672no—
1753#123—672no—
1754#123—674no—
1755#123—674no—
1756#123—674no—
1757#123—674no—
1758#123—674no—
1759#123—674no—
1760#123—672no—
1761#123—672no—
1762#123—672no—
1763#123—672no—
1764#123—672no—
1765#123—672no—
1766#123—674no—
1767#123—674no—
1768#123—674no—
1769#123—674no—
1770#123—674no—
1771#123—674no—
1772#123—674no—
1773#123—674no—
1774#123—674no—
1775#123—674no—
1776#123—674no—
1777#123C22×D6714yes—
1778#123C22×D6714yes—
1779#123C22×D6714yes—
1780C22⋊Q8—672no—
1781C22⋊Q8—672no—
1782C22⋊Q8—671no—
1783C22⋊Q8—671no—
1784C22⋊Q8—671no—
1785C22⋊Q8—671no—
1786C22⋊Q8—674no—
1787C22⋊Q8—672no—
1788C22⋊Q8—672no—
1789C22⋊Q8—674no—
1790C22⋊Q8—672no—
1791C22⋊Q8—674no—
1792C22⋊Q8—674no—
1793C22⋊Q8—672no—
1794C22⋊Q8—672no—
1795C22⋊Q8—674no—
1796C22⋊Q8—672no—
1797C22⋊Q8—674no—
1798C22⋊Q8—672no—
1799C22⋊Q8—674no—
1800C22⋊Q8—672no—
1801C22⋊Q8—674no—
1802C22⋊Q8—674no—
1803C22⋊Q8—674no—
1804C22⋊Q8—674no—
1805C22⋊Q8—672no—
1806C22⋊Q8—672no—
1807C22⋊Q8—674no—
1808C22⋊Q8—674no—
1809C22⋊Q8—671no—
1810C22⋊Q8—671no—
1811C22⋊Q8—672no—
1812C22⋊Q8—672no—
1813C22⋊Q8—671no—
1814C22⋊Q8—671no—
1815C22⋊Q8—672no—
1816C22⋊Q8—672no—
1817C22⋊Q8—674no—
1818C22⋊Q8—672no—
1819C22⋊Q8—674no—
1820C22⋊Q8—674no—
1821C22⋊Q8—674no—
1822C22⋊Q8—674no—
1823C22⋊Q8—672no—
1824C22⋊Q8—674no—
1825C22⋊Q8—672no—
1826C22⋊Q8—674no—
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—674no—
1837C22⋊Q8—674no—
1838C22⋊Q8—672no—
1839C22⋊Q8—672no—
1840C22⋊Q8—672no—
1841C22⋊Q8—672no—
1842C22⋊Q8—674no—
1843C22⋊Q8—674no—
1844C22⋊Q8—674no—
1845C22⋊Q8—674no—
1846C22⋊Q8—674no—
1847C22⋊Q8—674no—
1848C22⋊Q8—674no—
1849C22⋊Q8C22×D6712yes—
1850C22⋊Q8C22×D6712yes—
1851C22⋊Q8C22×D6714yes—
1852C22⋊Q8C22×D6712yes—
1853C22⋊Q8C22×D6712yes—
1854C22⋊Q8C22×D6712yes—
1855C22⋊Q8C22×D6714yes—
1856#121—671no—
1857#121—671no—
1858#121—672no—
1859#121—672no—
1860#121—671no—
1861#121—671no—
1862#121—672no—
1863#121—672no—
1864#121—674no—
1865#121—674no—
1866#121—674no—
1867#121—672no—
1868#121—674no—
1869#121—674no—
1870#121—674no—
1871#121—674no—
1872#121—674no—
1873#121—672no—
1874#121—671no—
1875#121—671no—
1876#121—671no—
1877#121—671no—
1878#121—674no—
1879#121—672no—
1880#121—674no—
1881#121—672no—
1882#121—672no—
1883#121—672no—
1884#121—672no—
1885#121—674no—
1886#121—674no—
1887#121—674no—
1888#121—674no—
1889#121—674no—
1890#121C22×D6714yes—
1891#121C22×D6712yes—
1892#120—672no—
1893#120—672no—
1894#120—672no—
1895#120—672no—
1896C4×Q8—672no—
1897C4×Q8—672no—
1898C4×Q8—672no—
1899C4×Q8—672no—
1900C4×Q8—672no—
1901C4×Q8—672no—
1902C4×Q8—672no—
1903C4×Q8—674no—
1904C4×Q8—674no—
1905C4×Q8—672no—
1906C4×Q8—672no—
1907C4×Q8—674no—
1908C4×Q8—674no—
1909C4×Q8—672no—
1910C4×Q8—674no—
1911C4×Q8—674no—
1912C4×Q8—672no—
1913C4×Q8—671no—
1914C4×Q8—671no—
1915C4×Q8—672no—
1916C4×Q8—674no—
1917C4×Q8—674no—
1918C4×Q8—674no—
1919C4×Q8—674no—
1920C4×Q8—674no—
1921C4×Q8—672no—
1922C4×Q8—672no—
1923C4×Q8—674no—
1924C4×Q8—672no—
1925C4×Q8—672no—
1926C4×Q8—672no—
1927C4×Q8—672no—
1928C4×Q8—671no—
1929C4×Q8—671no—
1930C4×Q8—672no—
1931C4×Q8—672no—
1932C4×Q8—672no—
1933C4×Q8—672no—
1934C4×Q8—672no—
1935C4×Q8—674no—
1936C4×Q8—674no—
1937C4×Q8C22×D6712yes—
1938C4×Q8C22×D6711yescharacteristic
1939C4×Q8C22×D6712yes—
1940C4×Q8C22×D6711yescharacteristic
1941C4×Q8C22×D6714yes—
1942C4×Q8C22×D6712yes—
1943C4×Q8C22×D6712yes—
1944C4×Q8C22×D6714yes—
1945C4×Q8C22×D6711yescharacteristic
1946C4×Q8C22×D6711yescharacteristic
1947C4×Q8C22×D6712yes—
1948C4×D4—672no—
1949C4×D4—672no—
1950C4×D4—672no—
1951C4×D4—672no—
1952C4×D4—672no—
1953C4×D4—672no—
1954C4×D4—672no—
1955C4×D4—672no—
1956C4×D4—672no—
1957C4×D4—672no—
1958C4×D4—672no—
1959C4×D4—672no—
1960C4×D4—672no—
1961C4×D4—674no—
1962C4×D4—672no—
1963C4×D4—672no—
1964C4×D4—674no—
1965C4×D4—672no—
1966C4×D4—672no—
1967C4×D4—672no—
1968C4×D4—672no—
1969C4×D4—672no—
1970C4×D4—672no—
1971C4×D4—674no—
1972C4×D4—674no—
1973C4×D4—674no—
1974C4×D4—674no—
1975C4×D4—674no—
1976C4×D4—674no—
1977C4×D4—674no—
1978C4×D4—674no—
1979C4×D4—672no—
1980C4×D4—674no—
1981C4×D4—674no—
1982C4×D4—674no—
1983C4×D4—674no—
1984C4×D4—674no—
1985C4×D4—671no—
1986C4×D4—671no—
1987C4×D4—672no—
1988C4×D4—672no—
1989C4×D4—672no—
1990C4×D4—672no—
1991C4×D4—672no—
1992C4×D4—672no—
1993C4×D4—672no—
1994C4×D4—672no—
1995C4×D4—674no—
1996C4×D4—671no—
1997C4×D4—671no—
1998C4×D4—674no—
1999C4×D4—674no—
2000C4×D4—672no—
2001C4×D4C22×D6711yescharacteristic
2002C4×D4C22×D6711yescharacteristic
2003C4×D4C22×D6712yes—
2004C4×D4C22×D6712yes—
2005C4×D4C22×D6712yes—
2006C4×D4C22×D6712yes—
2007C4×D4C22×D6711yescharacteristic
2008C4×D4C22×D6711yescharacteristic
2009C4×D4C22×D6714yes—
2010C4×D4C22×D6714yes—
2011C4×D4C22×D6712yes—
2012#117—672no—
2013#117—671no—
2014#117—671no—
2015#117—672no—
2016#117—672no—
2017#117—674no—
2018#117—672no—
2019#117—672no—
2020#117—672no—
2021#117—672no—
2022#117—672no—
2023#117—672no—
2024#117—672no—
2025#117—674no—
2026#117—674no—
2027#117—674no—
2028#117—674no—
2029#117—672no—
2030#117—672no—
2031#117—672no—
2032#117—672no—
2033#117—674no—
2034#117—672no—
2035#117—672no—
2036#117—674no—
2037#117—672no—
2038#117—672no—
2039#117—672no—
2040#117—672no—
2041#117—674no—
2042#117C22×D6712yes—
2043#117C22×D6714yes—
2044#117C22×D6711yescharacteristic
2045#117C22×D6711yescharacteristic
2046#117C22×D6712yes—
2047#117C22×D6712yes—
2048#117C22×D6712yes—
2049#117C22×D6714yes—
2050C2×C4⋊C4—672no—
2051C2×C4⋊C4—674no—
2052C2×C4⋊C4—672no—
2053C2×C4⋊C4—672no—
2054C2×C4⋊C4—674no—
2055C2×C4⋊C4—674no—
2056C2×C4⋊C4—672no—
2057C2×C4⋊C4—672no—
2058C2×C4⋊C4—672no—
2059C2×C4⋊C4—672no—
2060C2×C4⋊C4—674no—
2061C2×C4⋊C4—674no—
2062C2×C4⋊C4C22×D6712yes—
2063C2×C4⋊C4C22×D6714yes—
2064C2×C22⋊C4—674no—
2065C2×C42—674no—
2066C2×C42—671no—
2067C2×C42—671no—
2068C2×C42—671no—
2069C2×C42—674no—
2070C2×C42—671no—
2071C2×C42—671no—
2072C2×C42—672no—
2073C2×C42—672no—
2074C2×C42—674no—
2075C2×C42—674no—
2076C2×C42—671no—
2077C2×C42—671no—
2078C2×C42—671no—
2079C2×C42—671no—
2080C2×C42—671no—
2081C2×C42—671no—
2082C2×C42C22×D6712yes—
2083C2×C42C22×D6712yes—
2084C2×C42C22×D6714yes—
2085C2×C42C22×D6711yescharacteristic
2086C24—671no—
2087#41—42no—
2088#41—42no—
2089#41—44no—
2090#41—2682no—
2091#41—2682no—
2092#41—2684no—
2093#41—2684no—
2094#41—2684no—
2095#41—2684no—
2096#41—2684no—
2097#41—1348no—
2098#41—1348no—
2099C2×Q8—44no—
2100C2×Q8—2684no—
2101C2×Q8—2684no—
2102C2×Q8—2684no—
2103C2×Q8—2684no—
2104C2×Q8—2684no—
2105C2×Q8—674no—
2106C2×Q8—674no—
2107C2×Q8—674no—
2108C2×Q8—674no—
2109C2×Q8—674no—
2110C2×Q8—672no—
2111C2×Q8—672no—
2112C2×Q8—672no—
2113C2×Q8—672no—
2114C2×Q8—672no—
2115C2×Q8—671no—
2116C2×Q8—671no—
2117C2×Q8—672no—
2118C2×Q8C23×D6712yes—
2119C2×Q8C23×D6711yescharacteristic
2120C2×Q8C23×D6712yes—
2121C2×Q8C23×D6711yescharacteristic
2122C2×Q8C23×D6714yes—
2123C2×D4—672no—
2124C2×D4—672no—
2125C2×D4—672no—
2126C2×D4—672no—
2127C2×D4—672no—
2128C2×D4—674no—
2129C2×D4—672no—
2130C2×D4—674no—
2131C2×D4—672no—
2132C2×D4—672no—
2133C2×D4—672no—
2134C2×D4—672no—
2135C2×D4—672no—
2136C2×D4—672no—
2137C2×D4—674no—
2138C2×D4—672no—
2139C2×D4—672no—
2140C2×D4—671no—
2141C2×D4—671no—
2142C2×D4C23×D6711yescharacteristic
2143C2×D4C23×D6711yescharacteristic
2144C2×D4C23×D6712yes—
2145C2×D4C23×D6712yes—
2146C2×D4C23×D6714yes—
2147C22×C4—2682no—
2148C22×C4—2682no—
2149C22×C4—671no—
2150C22×C4—671no—
2151C22×C4—674no—
2152C22×C4—674no—
2153C22×C4—671no—
2154C22×C4—671no—
2155C22×C4—671no—
2156C22×C4—671no—
2157C22×C4—674no—
2158C22×C4—674no—
2159C22×C4—672no—
2160C22×C4—672no—
2161C22×C4—674no—
2162C22×C4—674no—
2163C22×C4—674no—
2164C22×C4—674no—
2165C22×C4—671no—
2166C22×C4—671no—
2167C22×C4—671no—
2168C22×C4—671no—
2169C22×C4—671no—
2170C22×C4—671no—
2171C22×C4—671no—
2172C22×C4—671no—
2173C22×C4—672no—
2174C22×C4—672no—
2175C22×C4—672no—
2176C22×C4—672no—
2177C22×C4—671no—
2178C22×C4—1344no—
2179C22×C4C23×D6711yescharacteristic
2180C22×C4C23×D6711yescharacteristic
2181C22×C4C23×D6712yes—
2182C22×C4C23×D6712yes—
2183C22×C4C23×D6712yes—
2184C22×C4C23×D6711yescharacteristic
2185C22×C4C23×D6712yes—
2186C22×C4C23×D6712yes—
2187C22×C4C23×D6712yes—
2188C22×C4C23×D6714yes—
2189C22×C4C23×D6714yes—
2190C4⋊C4—672no—
2191C4⋊C4—674no—
2192C4⋊C4—671no—
2193C4⋊C4—671no—
2194C4⋊C4—672no—
2195C4⋊C4—672no—
2196C4⋊C4—674no—
2197C4⋊C4—672no—
2198C4⋊C4—672no—
2199C4⋊C4—674no—
2200C4⋊C4—674no—
2201C4⋊C4—672no—
2202C4⋊C4—674no—
2203C4⋊C4—674no—
2204C4⋊C4—674no—
2205C4⋊C4—674no—
2206C4⋊C4—674no—
2207C4⋊C4—674no—
2208C4⋊C4—674no—
2209C4⋊C4—674no—
2210C4⋊C4—674no—
2211C4⋊C4—674no—
2212C4⋊C4—674no—
2213C4⋊C4—674no—
2214C4⋊C4—674no—
2215C4⋊C4—674no—
2216C4⋊C4—674no—
2217C4⋊C4—671no—
2218C4⋊C4—671no—
2219C4⋊C4—672no—
2220C4⋊C4—672no—
2221C4⋊C4—672no—
2222C4⋊C4—672no—
2223C4⋊C4—672no—
2224C4⋊C4—672no—
2225C4⋊C4—674no—
2226C4⋊C4—672no—
2227C4⋊C4—672no—
2228C4⋊C4—674no—
2229C4⋊C4—674no—
2230C4⋊C4—672no—
2231C4⋊C4—672no—
2232C4⋊C4—672no—
2233C4⋊C4—672no—
2234C4⋊C4—672no—
2235C4⋊C4—672no—
2236C4⋊C4—672no—
2237C4⋊C4—672no—
2238C4⋊C4—672no—
2239C4⋊C4—672no—
2240C4⋊C4—672no—
2241C4⋊C4—672no—
2242C4⋊C4—674no—
2243C4⋊C4—674no—
2244C4⋊C4—672no—
2245C4⋊C4—672no—
2246C4⋊C4—674no—
2247C4⋊C4—674no—
2248C4⋊C4—672no—
2249C4⋊C4—672no—
2250C4⋊C4—674no—
2251C4⋊C4—672no—
2252C4⋊C4—672no—
2253C4⋊C4—674no—
2254C4⋊C4C23×D6712yes—
2255C4⋊C4C23×D6714yes—
2256C4⋊C4C23×D6711yescharacteristic
2257C4⋊C4C23×D6712yes—
2258C4⋊C4C23×D6714yes—
2259C4⋊C4C23×D6712yes—
2260C4⋊C4C23×D6712yes—
2261C4⋊C4C23×D6712yes—
2262C4⋊C4C23×D6711yescharacteristic
2263C4⋊C4C23×D6712yes—
2264C4⋊C4C23×D6714yes—
2265C4⋊C4C23×D6714yes—
2266C4⋊C4C23×D6714yes—
2267C4⋊C4C23×D6711yescharacteristic
2268C4⋊C4C23×D6711yescharacteristic
2269C4⋊C4C23×D6714yes—
2270C4⋊C4C23×D6714yes—
2271C4⋊C4C23×D6714yes—
2272C4⋊C4C23×D6712yes—
2273C4⋊C4C23×D6712yes—
2274C22⋊C4—674no—
2275C22⋊C4—672no—
2276C22⋊C4—672no—
2277C22⋊C4—672no—
2278C22⋊C4—674no—
2279C22⋊C4—672no—
2280C22⋊C4—672no—
2281C22⋊C4—674no—
2282C22⋊C4—672no—
2283C22⋊C4—672no—
2284C22⋊C4—672no—
2285C22⋊C4—672no—
2286C22⋊C4—674no—
2287C22⋊C4—672no—
2288C22⋊C4—674no—
2289C22⋊C4—674no—
2290C22⋊C4—674no—
2291C22⋊C4—672no—
2292C22⋊C4—672no—
2293C22⋊C4—672no—
2294C22⋊C4—672no—
2295C22⋊C4—672no—
2296C22⋊C4—672no—
2297C22⋊C4—672no—
2298C22⋊C4—672no—
2299C22⋊C4—672no—
2300C22⋊C4—672no—
2301C22⋊C4—674no—
2302C22⋊C4—672no—
2303C22⋊C4—672no—
2304C22⋊C4—674no—
2305C22⋊C4—672no—
2306C22⋊C4—672no—
2307C22⋊C4—674no—
2308C22⋊C4—674no—
2309C22⋊C4—672no—
2310C22⋊C4—672no—
2311C22⋊C4—672no—
2312C22⋊C4—672no—
2313C22⋊C4—674no—
2314C22⋊C4—674no—
2315C22⋊C4—674no—
2316C22⋊C4—672no—
2317C22⋊C4—672no—
2318C22⋊C4—674no—
2319C22⋊C4C23×D6714yes—
2320C22⋊C4C23×D6712yes—
2321C22⋊C4C23×D6712yes—
2322C22⋊C4C23×D6714yes—
2323C22⋊C4C23×D6714yes—
2324C22⋊C4C23×D6712yes—
2325C22⋊C4C23×D6712yes—
2326C22⋊C4C23×D6712yes—
2327C22⋊C4C23×D6714yes—
2328C22⋊C4C23×D6712yes—
2329C22⋊C4C23×D6714yes—
2330C42—671no—
2331C42—671no—
2332C42—671no—
2333C42—671no—
2334C42—671no—
2335C42—671no—
2336C42—671no—
2337C42—671no—
2338C42—671no—
2339C42—671no—
2340C42—672no—
2341C42—672no—
2342C42—672no—
2343C42—672no—
2344C42—674no—
2345C42—674no—
2346C42—674no—
2347C42—674no—
2348C42—674no—
2349C42—674no—
2350C42—674no—
2351C42—674no—
2352C42—674no—
2353C42—671no—
2354C42—671no—
2355C42—672no—
2356C42—672no—
2357C42C23×D6711yescharacteristic
2358C42C23×D6711yescharacteristic
2359C42C23×D6712yes—
2360C42C23×D6712yes—
2361C42C23×D6712yes—
2362C42C23×D6712yes—
2363C42C23×D6714yes—
2364C42C23×D6714yes—
2365C42C23×D6711yescharacteristic
2366C42C23×D6711yescharacteristic
2367C42C23×D6714yes—
2368C42C23×D6712yes—
2369C42C23×D6712yes—
2370C23—2681no—
2371C23—2681no—
2372C23—671no—
2373C23—671no—
2374C23—672no—
2375C23—672no—
2376C23—1342no—
2377C23C24×D6712yes—
2378C23C24×D6711yescharacteristic
2379C23C24×D6712yes—
2380Q8—22no—
2381Q8—24no—
2382Q8—22no—
2383Q8—24no—
2384Q8—44no—
2385Q8—2684no—
2386Q8—2684no—
2387Q8—2684no—
2388Q8—2684no—
2389Q8—2684no—
2390Q8—2682no—
2391Q8—2682no—
2392Q8—1344no—
2393Q8—1344no—
2394Q8—1344no—
2395Q8—1342no—
2396Q8—1342no—
2397Q8—1344no—
2398D4—22no—
2399D4—22no—
2400D4—42no—
2401D4—44no—
2402D4—42no—
2403D4—2682no—
2404D4—2682no—
2405D4—2684no—
2406D4—2684no—
2407D4—2684no—
2408D4—2682no—
2409D4—2682no—
2410D4—2682no—
2411D4—2682no—
2412D4—2682no—
2413D4—2682no—
2414D4—1344no—
2415D4—1344no—
2416D4—1344no—
2417D4—1344no—
2418D4—1344no—
2419D4—1344no—
2420D4—1342no—
2421D4—1342no—
2422C2×C4—22no—
2423C2×C4—24no—
2424C2×C4—24no—
2425C2×C4—22no—
2426C2×C4—22no—
2427C2×C4—24no—
2428C2×C4—24no—
2429C2×C4—44no—
2430C2×C4—42no—
2431C2×C4—42no—
2432C2×C4—44no—
2433C2×C4—2681no—
2434C2×C4—2681no—
2435C2×C4—2681no—
2436C2×C4—2681no—
2437C2×C4—2684no—
2438C2×C4—2684no—
2439C2×C4—2684no—
2440C2×C4—2684no—
2441C2×C4—2682no—
2442C2×C4—2682no—
2443C2×C4—2684no—
2444C2×C4—2684no—
2445C2×C4—2681no—
2446C2×C4—2681no—
2447C2×C4—2684no—
2448C2×C4—2684no—
2449C2×C4—671no—
2450C2×C4—674no—
2451C2×C4—672no—
2452C2×C4—672no—
2453C2×C4—671no—
2454C2×C4—674no—
2455C2×C4—671no—
2456C2×C4—671no—
2457C2×C4—672no—
2458C2×C4—672no—
2459C2×C4—672no—
2460C2×C4—672no—
2461C2×C4—674no—
2462C2×C4—671no—
2463C2×C4—671no—
2464C2×C4—1342no—
2465C2×C4—1342no—
2466C2×C4—1342no—
2467C2×C4—1342no—
2468C2×C4—1344no—
2469C2×C4—1344no—
2470C2×C4—1342no—
2471C2×C4—1342no—
2472C2×C4—1342no—
2473C2×C4—1342no—
2474C2×C4—1344no—
2475C2×C4—1344no—
2476C2×C4C24×D6711yescharacteristic
2477C2×C4C24×D6711yescharacteristic
2478C2×C4C24×D6712yes—
2479C2×C4C24×D6711yescharacteristic
2480C2×C4C24×D6714yes—
2481C2×C4C24×D6712yes—
2482C2×C4C24×D6712yes—
2483C2×C4C24×D6714yes—
2484C2×C4C24×D6712yes—
2485C2×C4C24×D6712yes—
2486C2×C4C24×D6712yes—
2487C2×C4C24×D6711yescharacteristic
2488C2×C4C24×D6711yescharacteristic
2489C2×C4C24×D6711yescharacteristic
2490C22—21no—
2491C22—22no—
2492C22—22no—
2493C22—22no—
2494C22—22no—
2495C22—21no—
2496C22—21no—
2497C22—22no—
2498C22—22no—
2499C22—2684no—
2500C22—672no—
2501C22—1341no—
2502C22—1342no—
2503C22—1342no—
2504C22—1342no—
2505C22—1342no—
2506C22—1342no—
2507C22—1342no—
2508C22—1341no—
2509C22—1341no—
2510C22—1341no—
2511C22—1341no—
2512C22C25×D6711yescharacteristic
2513C4—21no—
2514C4—22no—
2515C4—22no—
2516C4—21no—
2517C4—21no—
2518C4—22no—
2519C4—22no—
2520C4—22no—
2521C4—24no—
2522C4—22no—
2523C4—24no—
2524C4—672no—
2525C4—1341no—
2526C4—1342no—
2527C4—1342no—
2528C4—1344no—
2529C4—1342no—
2530C4—1342no—
2531C4—1344no—
2532C4—1341no—
2533C4—1341no—
2534C4—1342no—
2535C4—1342no—
2536C4—1341no—
2537C4—1341no—
2538C42−1+4×D6712yes—
2539C4#1686423212yes—
2540C4#1686423212yes—
2541C2—41no—
2542C2—42no—
2543C2—42no—
2544C2—2681no—
2545C2—2682no—
2546C2—2682no—
2547C2—1342no—
2548C2C2×2−1+4×D6711yescharacteristic
2549C2C2×#1686423211yescharacteristic
2550C2C2×#1686423211yescharacteristic
subgroupG/H
centerC2×C4C24×D67
commutator, socle, cosocleC22×C67C26
FrattiniC22C25×D67
FittingC67×#3482C2
hypercenter#3482D67
hypocenterC67#62761
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C2×C4 ◁ #3482

Complements

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

NH ≅ G/Ntype
1. #22574705C2semidirect
2. #22574701C2semidirect
3. #22574692C2semidirect
4. #22574684C2semidirect
5. #22574675C2semidirect
6. #22574667C2semidirect
7. #22574656C2semidirect
8. #22574655C2semidirect
9. #22574651C2semidirect
10. #22574647C2semidirect
11. #22574639C2semidirect
12. #22574622C2semidirect
13. #22574616C2semidirect
14. #22574606C2semidirect
15. #22574509C2semidirect
16. #22574505C2semidirect
17. #22574500C2semidirect
18. #22574492C2semidirect
19. #22574354C2semidirect
20. #22573831C2semidirect
21. #22573827C2semidirect
22. #22573824C2semidirect
23. #22573807C2semidirect
24. #22573800C2semidirect
25. Q8×#11761628C2semidirect
26. #22573787C2semidirect
27. #22573642C2semidirect
28. #22573640C2semidirect
29. #22573636C2semidirect
30. #22573634C2semidirect
31. #22573592C2semidirect
32. #22573502C2semidirect
33. #22573502C2semidirect
34. #533×D67C2semidirect
35. C67×#3482C2semidirect
36. C67⋊#564C22semidirect
37. #16864150C22semidirect
39. #16864149C22semidirect
42. #16864148C22semidirect
43. #16864148C22semidirect
44. #16864147C22semidirect
45. #16864147C22semidirect
48. #16864143C22semidirect
52. #16864130C22semidirect
53. #16864129C22semidirect
54. #16864129C22semidirect
55. #16864128C22semidirect
56. Q8×Dic134C22semidirect
57. #16864126C22semidirect
58. #16864125C22semidirect
59. #16864124C22semidirect
60. #16864124C22semidirect
61. #16864124C22semidirect
62. #16864123C22semidirect
63. #16864123C22semidirect
64. #16864122C22semidirect
65. #16864121C22semidirect
66. #16864121C22semidirect
67. #16864120C22semidirect
68. #16864119C22semidirect
70. #16864117C22semidirect
72. #16864116C22semidirect
74. #16864114C22semidirect
75. #16864114C22semidirect
76. #16864113C22semidirect
81. #16864104C22semidirect
85. #16864101C22semidirect
86. #16864101C22semidirect
88. #16864100C22semidirect
99. #16864085C22semidirect
101. #16864079C22semidirect
102. #16864078C22semidirect
103. #16864065C22semidirect
104. #16864064C22semidirect
106. Q8×D268C22semidirect
107. D4×Dic134C22semidirect
109. #16864061C22semidirect
111. Q8×C22⋊D67C22semidirect
113. #16864059C22semidirect
122. #16864051C22semidirect
123. #16864050C22semidirect
124. #16864049C22semidirect
127. #16864027C22semidirect
128. #16864026C22semidirect
129. #16864024C22semidirect
130. #16864023C22semidirect
132. #16864019C22semidirect
135. #16864018C22semidirect
142. #16864013C22semidirect
145. #16864011C22semidirect
148. #16864008C22semidirect
150. #16864006C22semidirect
151. #16864006C22semidirect
153. #16864005C22semidirect
156. #16864004C22semidirect
157. #16864004C22semidirect
158. #16864004C22semidirect
160. #16864003C22semidirect
166. #16863993C22semidirect
168. #16863992C22semidirect
170. #16863989C22semidirect
172. #16863988C22semidirect
184. #16863971C22semidirect
186. #16863970C22semidirect
189. #16863967C22semidirect
190. #16863966C22semidirect
192. #16863953C22semidirect
193. #16863953C22semidirect
204. #16863950C22semidirect
205. #16863950C22semidirect
206. #16863950C22semidirect
207. #16863950C22semidirect
211. #16863949C22semidirect
228. #16863933C22semidirect
230. #16863930C22semidirect
231. #16863930C22semidirect
237. #16863928C22semidirect
238. #16863928C22semidirect
245. #16863926C22semidirect
252. #16863924C22semidirect
264. C4×#11761629C22semidirect
272. C4×#11761628C22semidirect
274. C4×#11761627C22semidirect
275. C2×C4×Dic134C22semidirect
278. C4×Q8×D67C22semidirect
279. C4×Q8×D67C22semidirect
282. #557×C67C22semidirect
284. #556×C67C22semidirect
286. #552×C67C22semidirect
287. D4×Q8×C67C22semidirect
290. #547×C67C22semidirect
292. #533×C67C22semidirect
294. #529×C67C22semidirect
297. C4×#41×C67C22semidirect
298. C2×C4×Q8×C67C22semidirect
1298. #3482D67semidirect
1311. C67#62761semidirect
1343. #557C2×D67semidirect
1355. #556C2×D67semidirect
1383. #552C2×D67semidirect
1395. D4×Q8C2×D67semidirect
1411. #547C2×D67semidirect
1500. #533C2×D67semidirect
1541. #529C2×D67semidirect
1566. C4×#41C2×D67semidirect
1572. C2×C4×Q8C2×D67semidirect

Maximal subgroups

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

subgroupindex
#225747052
#225747012
#225746922
#225746842
#225746752
#225746672
#225746562
#225746552
#225746512
#225746472
#225746392
#225746222
#225746162
#225746062
#225745092
#225745052
#225745002
#225744922
#225743542
#225738312
#225738272
#225738242
#225738072
#225738002
Q8×#117616282
#225737872
#225736422
#225736402
#225736362
#225736342
#225735922
#225735022
#533×D672
C67×#34822
#6276167