Finite Group Databasebeta

← #35196962

Subgroups — #35196962

Order 20224.

7274 conjugacy classes of subgroups.

The subgroup lattice has 2440 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777957C212yesmaximal, complemented
2#23777953C214yesmaximal, complemented
3#23777949C212yesmaximal, complemented
4#23777937C212yesmaximal, complemented
5#23777934C211yesmaximal, characteristic, complemented
6#23777923C211yesmaximal, characteristic, complemented
7#23777922C212yesmaximal, complemented
8#23777916C211yesmaximal, characteristic, complemented
9#23777758C212yesmaximal, complemented
10#23777750C212yesmaximal, complemented
11#23777743C212yesmaximal, complemented
12#23777729C212yesmaximal, complemented
13#23777484C212yesmaximal, complemented
14#23777478C212yesmaximal, complemented
15#23777428C212yesmaximal, complemented
16#23777425C212yesmaximal, complemented
17#23777347C212yesmaximal, complemented
18#23777343C212yesmaximal, complemented
19#23777330C214yesmaximal, complemented
20#23777232C212yesmaximal, complemented
21#23777229C212yesmaximal, complemented
22#23777163C212yesmaximal, complemented
23#23777158C212yesmaximal, complemented
24#23777138C212yesmaximal, complemented
25#23777127C212yesmaximal, complemented
26#23777124C214yesmaximal, complemented
27#23777039C214yesmaximal, complemented
28#532×D79C211yesmaximal, characteristic, complemented
29C2×#19099098C211yesmaximal, characteristic, complemented
30#529×D79C211yesmaximal, characteristic, complemented
31C79×#3559C211yesmaximal, characteristic, complemented
32C2×#14579207C2214yescomplemented
33C2×#41×D79C2212yescomplemented
34#19099317C2212yescomplemented
35#19099317C2214yescomplemented
36#19099314C2214yescomplemented
37#19099311C2212yescomplemented
38#19099311C2212yescomplemented
39#19099307C2212yescomplemented
40#19099305C2212yescomplemented
41#19099305C2212yescomplemented
42#19099303C2214yescomplemented
43#19099301C2214yescomplemented
44#19099298C2212yescomplemented
45#19099297C2214yescomplemented
46#19099296C2212yescomplemented
47#19099296C2212yescomplemented
48#19099293C2212yescomplemented
49#19099279C2214yescomplemented
50#19099277C2214yescomplemented
51#19099276C2212yescomplemented
52#19099269C2212yescomplemented
53#19099269C2212yescomplemented
54#19099268C2212yescomplemented
55#19099267C2214yescomplemented
56#19099266C2214yescomplemented
57#19099266C2212yescomplemented
58#19099266C2214yescomplemented
59#19099265C2214yescomplemented
60#19099264C2214yescomplemented
61#19099264C2214yescomplemented
62#19099263C2214yescomplemented
63#19099261C2214yescomplemented
64#19099261C2212yescomplemented
65#19099259C2214yescomplemented
66#19099258C2214yescomplemented
67#19099256C2214yescomplemented
68#19099252C2212yescomplemented
69#19099251C2212yescomplemented
70#19099245C2214yescomplemented
71#19099241C2214yescomplemented
72#19099241C2214yescomplemented
73#19099240C2214yescomplemented
74#19099240C2214yescomplemented
75#19099240C2214yescomplemented
76#19099240C2214yescomplemented
77#19099238C2214yescomplemented
78#19099238C2214yescomplemented
79#19099236C2214yescomplemented
80#19099236C2214yescomplemented
81#19099234C2212yescomplemented
82#19099231C2212yescomplemented
83#19099223C2214yescomplemented
84#19099222C2212yescomplemented
85#19099219C2212yescomplemented
86#19099216C2214yescomplemented
87#19099216C2212yescomplemented
88#19099215C2214yescomplemented
89#19099215C2214yescomplemented
90#19099215C2214yescomplemented
91#19099214C2214yescomplemented
92#19099214C2214yescomplemented
93#19099214C2212yescomplemented
94#19099214C2212yescomplemented
95#19099212C2214yescomplemented
96#19099211C2214yescomplemented
97#19099211C2214yescomplemented
98#19099210C2214yescomplemented
99#19099210C2212yescomplemented
100#19099210C2214yescomplemented
101#19099209C2214yescomplemented
102#19099209C2212yescomplemented
103#19099208C2214yescomplemented
104#19099208C2212yescomplemented
105#19099208C2212yescomplemented
106#19099205C2214yescomplemented
107#19099205C2214yescomplemented
108#19099205C2214yescomplemented
109#19099205C2214yescomplemented
110#19099205C2214yescomplemented
111#19099205C2214yescomplemented
112#19099204C2214yescomplemented
113#19099204C2214yescomplemented
114#19099204C2214yescomplemented
115#19099204C2214yescomplemented
116#19099202C2214yescomplemented
117#19099202C2214yescomplemented
118#19099201C2214yescomplemented
119#19099201C2214yescomplemented
120D4×D316C2212yescomplemented
121D4×D316C2212yescomplemented
122#19099197C2214yescomplemented
123#19099197C2212yescomplemented
124#19099197C2214yescomplemented
125#19099197C2212yescomplemented
126#19099197C2212yescomplemented
127#19099193C2212yescomplemented
128#19099190C2214yescomplemented
129#19099187C2212yescomplemented
130#19099187C2212yescomplemented
131#19099186C2214yescomplemented
132#19099184C2212yescomplemented
133#19099183C2214yescomplemented
134#19099183C2214yescomplemented
135#19099183C2214yescomplemented
136#19099183C2214yescomplemented
137#19099181C2214yescomplemented
138#19099180C2212yescomplemented
139#19099169C2212yescomplemented
140#19099169C2212yescomplemented
141#19099166C2212yescomplemented
142#19099165C2214yescomplemented
143#19099165C2214yescomplemented
144#19099162C2214yescomplemented
145#19099161C2214yescomplemented
146#19099160C2212yescomplemented
147#19099154C2214yescomplemented
148#19099154C2214yescomplemented
149#19099153C2214yescomplemented
150#19099153C2212yescomplemented
151#19099152C2214yescomplemented
152#19099152C2214yescomplemented
153#19099152C2214yescomplemented
154#19099150C2212yescomplemented
155#19099150C2214yescomplemented
156#19099149C2214yescomplemented
157#19099149C2214yescomplemented
158#19099146C2214yescomplemented
159#19099145C2214yescomplemented
160#19099144C2212yescomplemented
161#19099143C2214yescomplemented
162#19099138C2214yescomplemented
163#19099136C2214yescomplemented
164#19099132C2212yescomplemented
165#19099129C2214yescomplemented
166#19099126C2212yescomplemented
167#19099124C2214yescomplemented
168#19099124C2214yescomplemented
169#19099124C2214yescomplemented
170#19099121C2214yescomplemented
171#19099121C2214yescomplemented
172#19099121C2212yescomplemented
173#19099121C2212yescomplemented
174#19099114C2211yescharacteristic, complemented
175#19099114C2212yescomplemented
176#19099113C2211yescharacteristic, complemented
177#19099112C2212yescomplemented
178#19099111C2211yescharacteristic, complemented
179#19099110C2212yescomplemented
180#19099110C2212yescomplemented
181#19099110C2212yescomplemented
182#19099109C2212yescomplemented
183#19099109C2214yescomplemented
184#19099108C2212yescomplemented
185#19099108C2212yescomplemented
186C4⋊Q8×D79C2211yescharacteristic, complemented
187#127×D79C2211yescharacteristic, complemented
188#19099100C2211yescharacteristic, complemented
189#19099099C2211yescharacteristic, complemented
190#19099098C2212yescomplemented
191#19099098C2212yescomplemented
192#19099098C2212yescomplemented
193#19099098C2212yescomplemented
194#19099098C2212yescomplemented
195#19099098C2212yescomplemented
196#19099098C2211yescharacteristic, complemented
197#19099098C2212yescomplemented
198#19099098C2212yescomplemented
199#19099098C2212yescomplemented
200#19099097C2211yescharacteristic, complemented
201#19099096C2212yescomplemented
202#19099095C2211yescharacteristic, complemented
203#19099095C2212yescomplemented
204#19099094C2211yescharacteristic, complemented
205#19099093C2212yescomplemented
206#19099092C2211yescharacteristic, complemented
207#19099091C2212yescomplemented
208#19099090C2212yescomplemented
209#19099090C2214yescomplemented
210C2×#14579156C2212yescomplemented
211#126×D79C2212yescomplemented
212#125×D79C2211yescharacteristic, complemented
213C2×#14579149C2211yescharacteristic, complemented
214#124×D79C2211yescharacteristic, complemented
215#124×D79C2212yescomplemented
216#19099076C2214yescomplemented
217#19099075C2212yescomplemented
218#19099073C2212yescomplemented
219#19099072C2214yescomplemented
220#19099072C2214yescomplemented
221C2×#14579146C2212yescomplemented
222C2×#14579146C2214yescomplemented
223#123×D79C2212yescomplemented
224#123×D79C2214yescomplemented
225C2×#14579141C2211yescharacteristic, complemented
226C22⋊Q8×D79C2211yescharacteristic, complemented
227C2×#14579136C2211yescharacteristic
228C2×#14579136C2212yescomplemented
229#121×D79C2211yescharacteristic
230#121×D79C2214yescomplemented
231#121×D79C2212yescomplemented
232#121×D79C2212yescomplemented
233#121×D79C2212yescomplemented
234#19099044C2214yescomplemented
235#19099044C2212yescomplemented
236#19099042C2212yescomplemented
237#19099037C2212yescomplemented
238#19099035C2214yescomplemented
239#19099035C2214yescomplemented
240#19099035C2212yescomplemented
241C2×#14579126C2211yescharacteristic, complemented
242C4×Q8×D79C2211yescharacteristic, complemented
243C2×#14579123C2212yescomplemented
244C2×#14579123C2211yescharacteristic, complemented
245C4×D4×D79C2212yescomplemented
246C4×D4×D79C2212yescomplemented
247C4×D4×D79C2212yescomplemented
248C4×D4×D79C2211yescharacteristic, complemented
249C2×#14579119C2212yescomplemented
250#117×D79C2212yescomplemented
251C2×C42×D79C2211yescharacteristic, complemented
252#563×C79C2212yescomplemented
253#562×C79C2212yescomplemented
254#554×C79C2212yescomplemented
255#553×C79C2212yescomplemented
256#553×C79C2212yescomplemented
257#547×C79C2214yescomplemented
258#547×C79C2212yescomplemented
259#544×C79C2212yescomplemented
260#540×C79C2212yescomplemented
261#539×C79C2214yescomplemented
262#539×C79C2212yescomplemented
263#537×C79C2212yescomplemented
264#532×C79C2211yescharacteristic, complemented
265#529×C79C2211yescharacteristic, complemented
266C2×#125×C79C2211yescharacteristic, complemented
267#14579207—416no—
268C2×#11929625C2314yes—
269C2×#11929625C2314yes—
270C2×#11929625C2312yes—
271C2×#11929624C2314yes—
272C2×#11929624C2314yes—
273C2×#11929624C2314yes—
274C2×#11929624C2312yes—
275C2×#11929624C2314yes—
276C2×#11929624C2314yes—
277C2×#11929624C2312yes—
278C2×#11929623C2312yes—
279C2×#11929623C2314yes—
280C2×#11929623C2312yes—
281#41×D79—48no—
282C22×Dic158C2311yescharacteristic
283C2×Q8×D79C2312yes—
284C2×Q8×D79C2311yescharacteristic
285C22×D316C2312yes—
286C22×D316C2314yes—
287C22×D316C2314yes—
288C22×D316C2311yescharacteristic
289C22×D316C2312yes—
290C2×D4×D79C2312yes—
291C2×D4×D79C2314yes—
292C2×D4×D79C2314yes—
293C2×D4×D79C2314yes—
294C2×D4×D79C2314yes—
295C2×D4×D79C2314yes—
296C2×D4×D79C2311yescharacteristic
297C2×D4×D79C2314yes—
298C2×D4×D79C2312yes—
299C2×D4×D79C2312yes—
300C2×D4×D79C2312yes—
301C2×D4×D79C2312yes—
302C22×C4×D79C2311yescharacteristic
303C22×C4×D79C2311yescharacteristic
304C22×C4×D79C2311yescharacteristic
305C22×C4×D79C2312yes—
306C22×C4×D79C2312yes—
307C22×C4×D79C2314yes—
308#14579161C2311yescharacteristic
309#14579160C2314yes—
310#14579160C2314yes—
311#14579160C2312yes—
312#14579160C2312yes—
313#14579160C2312yes—
314#14579159C2314yes—
315#14579159C2312yes—
316#14579159C2314yes—
317#14579158C2311yescharacteristic
318#14579158C2312yes—
319#14579157C2312yes—
320#14579157C2314yes—
321#14579157C2312yes—
322#14579157C2312yes—
323#14579157C2312yes—
324#14579156C2314yes—
325#14579156C2314yes—
326#14579156C2314yes—
327#14579156C2314yes—
328#14579156C2314yes—
329#14579156C2314yes—
330#14579156C2312yes—
331#14579156C2314yes—
332#14579156C2314yes—
333#14579156C2314yes—
334#14579156C2314yes—
335#14579156C2312yes—
336#14579156C2314yes—
337#14579156C2312yes—
338#14579155C2312yes—
339#14579154C2314yes—
340#14579154C2312yes—
341#14579154C2314yes—
342#14579154C2314yes—
343#14579154C2312yes—
344#14579154C2312yes—
345#14579153C2314yes—
346#14579153C2311yescharacteristic
347#14579152C2311yescharacteristic
348#14579152C2314yes—
349#14579152C2311yescharacteristic
350#14579152C2312yes—
351#14579151C2314yes—
352#14579151C2312yes—
353#14579151C2314yes—
354#14579151C2312yes—
355#14579150C2314yes—
356#14579150C2311yescharacteristic
357#14579150C2314yes—
358#14579150C2314yes—
359#14579150C2314yes—
360#14579150C2312yes—
361#14579149C2314yes—
362#14579149C2312yes—
363#14579149C2312yes—
364#14579149C2312yes—
365#14579149C2312yes—
366#14579149C2312yes—
367#14579149C2311yescharacteristic
368#14579149C2312yes—
369#14579148C2311yescharacteristic
370#14579148C2314yes—
371#14579148C2312yes—
372#14579148C2312yes—
373#14579147C2314yes—
374#14579147C2314yes—
375#14579147C2314yes—
376#14579147C2314yes—
377#14579147C2314yes—
378#14579147C2314yes—
379#14579147C2314yes—
380#14579147C2312yes—
381#14579147C2314yes—
382#14579147C2314yes—
383#14579147C2312yes—
384#14579146C2314yes—
385#14579146C2314yes—
386#14579146C2312yes—
387#14579146C2314yes—
388#14579146C2314yes—
389#14579146C2314yes—
390#14579146C2314yes—
391#14579146C2314yes—
392#14579146C2314yes—
393#14579146C2314yes—
394#14579146C2314yes—
395#14579146C2314yes—
396#14579146C2314yes—
397#14579146C2314yes—
398#14579146C2314yes—
399#14579146C2314yes—
400#14579146C2314yes—
401#14579146C2314yes—
402#14579146C2314yes—
403#14579146C2314yes—
404#14579146C2314yes—
405#14579146C2314yes—
406#14579146C2312yes—
407#14579145C2314yes—
408#14579145C2314yes—
409#14579145C2314yes—
410#14579145C2314yes—
411#14579145C2312yes—
412#14579144C2314yes—
413#14579144C2314yes—
414#14579144C2314yes—
415#14579144C2314yes—
416#14579144C2312yes—
417#14579143C2312yes—
418#14579143C2314yes—
419#14579143C2314yes—
420#14579143C2314yes—
421#14579143C2314yes—
422#14579143C2314yes—
423#14579143C2314yes—
424#14579143C2314yes—
425#14579143C2314yes—
426#14579143C2312yes—
427#14579142C2314yes—
428#14579142C2312yes—
429#14579141C2314yes—
430#14579141C2314yes—
431#14579141C2314yes—
432#14579141C2312yes—
433#14579141C2312yes—
434#14579141C2312yes—
435#14579141C2312yes—
436#14579141C2311yescharacteristic
437#14579141C2312yes—
438#14579140C2314yes—
439#14579140C2311yescharacteristic
440#14579140C2312yes—
441#14579139C2314yes—
442#14579139C2314yes—
443#14579139C2314yes—
444#14579139C2314yes—
445#14579139C2314yes—
446#14579139C2314yes—
447#14579139C2314yes—
448#14579139C2314yes—
449#14579139C2314yes—
450#14579139C2314yes—
451#14579139C2312yes—
452#14579138C2314yes—
453#14579138C2314yes—
454#14579138C2312yes—
455#14579137C2314yes—
456#14579137C2314yes—
457#14579137C2314yes—
458#14579137C2311yescharacteristic
459#14579136C2312yes—
460#14579136C2314yes—
461#14579136C2314yes—
462#14579136C2314yes—
463#14579136C2314yes—
464#14579136C2314yes—
465#14579136C2314yes—
466#14579136C2314yes—
467#14579136C2314yes—
468#14579136C2314yes—
469#14579136C2312yes—
470#14579136C2312yes—
471#14579136C2312yes—
472#14579136C2314yes—
473#14579136C2312yes—
474#14579136C2311yescharacteristic
475#14579136C2312yes—
476#14579136C2312yes—
477#14579136C2314yes—
478#14579136C2312yes—
479#14579136C2312yes—
480#14579135C2314yes—
481#14579135C2311yescharacteristic
482#14579135C2312yes—
483#14579135C2314yes—
484#14579135C2314yes—
485#14579135C2314yes—
486#14579135C2314yes—
487#14579135C2312yes—
488#14579135C2312yes—
489#14579134C2314yes—
490#14579134C2314yes—
491#14579134C2314yes—
492#14579134C2314yes—
493#14579134C2314yes—
494#14579134C2314yes—
495#14579134C2314yes—
496#14579134C2314yes—
497#14579134C2314yes—
498#14579134C2314yes—
499#14579134C2312yes—
500#14579134C2314yes—
501#14579134C2314yes—
502#14579133C2314yes—
503#14579133C2314yes—
504#14579133C2314yes—
505#14579133C2314yes—
506#14579133C2314yes—
507#14579133C2314yes—
508#14579133C2314yes—
509#14579133C2314yes—
510#14579133C2312yes—
511#14579133C2314yes—
512#14579132C2314yes—
513#14579132C2314yes—
514#14579132C2311yescharacteristic
515#14579132C2312yes—
516#14579132C2312yes—
517#14579131C2314yes—
518#14579131C2314yes—
519#14579131C2314yes—
520#14579131C2314yes—
521#14579131C2314yes—
522#14579131C2314yes—
523#14579131C2314yes—
524#14579131C2314yes—
525#14579131C2314yes—
526#14579131C2314yes—
527#14579131C2314yes—
528#14579131C2314yes—
529#14579129C2314yes—
530#14579129C2314yes—
531#14579129C2314yes—
532#14579129C2314yes—
533#14579129C2314yes—
534#14579129C2314yes—
535#14579129C2314yes—
536#14579129C2314yes—
537Q8×Dic79C2311yescharacteristic
538C4×Dic158C2312yes—
539C4×Dic158C2312yes—
540C4×Dic158C2311yescharacteristic
541#14579126C2312yes—
542#14579126C2312yes—
543#14579126C2311yescharacteristic
544#14579126C2312yes—
545#14579126C2314yes—
546#14579126C2312yes—
547#14579126C2312yes—
548#14579126C2312yes—
549C4×D316C2312yes—
550C4×D316C2314yes—
551C4×D316C2314yes—
552C4×D316C2314yes—
553C4×D316C2314yes—
554C4×D316C2312yes—
555C4×D316C2312yes—
556C4×D316C2311yescharacteristic
557C4×D316C2312yes—
558D4×Dic79C2311yescharacteristic
559D4×Dic79C2314yes—
560D4×Dic79C2314yes—
561D4×Dic79C2312yes—
562D4×Dic79C2312yes—
563D4×Dic79C2312yes—
564#14579123C2312yes—
565#14579123C2314yes—
566#14579123C2311yescharacteristic
567#14579123C2314yes—
568#14579123C2314yes—
569#14579123C2312yes—
570#14579123C2312yes—
571#14579123C2312yes—
572#14579123C2312yes—
573#14579123C2314yes—
574#14579123C2312yes—
575#14579123C2314yes—
576#14579123C2314yes—
577#14579123C2312yes—
578#14579123C2312yes—
579#14579123C2314yes—
580#14579123C2314yes—
581#14579123C2312yes—
582#14579123C2312yes—
583C4×C22⋊D79C2314yes—
584C4×C22⋊D79C2314yes—
585C4×C22⋊D79C2314yes—
586C4×C22⋊D79C2314yes—
587C4×C22⋊D79C2314yes—
588C4×C22⋊D79C2314yes—
589C4×C22⋊D79C2314yes—
590C4×C22⋊D79C2314yes—
591C4×C22⋊D79C2314yes—
592C4×C22⋊D79C2314yes—
593C4×C22⋊D79C2314yes—
594C4×C22⋊D79C2312yes—
595C4×C22⋊D79C2312yes—
596C4×C22⋊D79C2312yes—
597C4×C22⋊D79C2314yes—
598(C22⋊D79)⋊C4C2314yes—
599(C22⋊D79)⋊C4C2314yes—
600(C22⋊D79)⋊C4C2314yes—
601(C22⋊D79)⋊C4C2314yes—
602(C22⋊D79)⋊C4C2314yes—
603(C22⋊D79)⋊C4C2312yes—
604(C22⋊D79)⋊C4C2314yes—
605(C22⋊D79)⋊C4C2312yes—
606(C22⋊D79)⋊C4C2312yes—
607(C22⋊D79)⋊C4C2314yes—
608#14579120C2312yes—
609#14579120C2314yes—
610#14579119C2314yes—
611#14579119C2314yes—
612#14579119C2314yes—
613#14579119C2314yes—
614#14579119C2314yes—
615#14579119C2312yes—
616#14579119C2312yes—
617#14579119C2314yes—
618#14579119C2314yes—
619#14579119C2312yes—
620#14579118C2314yes—
621#14579118C2312yes—
622#14579118C2312yes—
623#14579118C2314yes—
624#14579117C2314yes—
625#14579117C2312yes—
626#14579117C2312yes—
627C2×C4⋊Dic79C2312yes—
628C2×Dic79⋊C4C2314yes—
629C2×Dic79⋊C4C2312yes—
630C4⋊C4×D79C2312yes—
631C4⋊C4×D79C2314yes—
632C4⋊C4×D79C2314yes—
633C4⋊C4×D79C2314yes—
634C4⋊C4×D79C2312yes—
635C4⋊C4×D79C2312yes—
636C4⋊C4×D79C2312yes—
637C4⋊C4×D79C2312yes—
638C4⋊C4×D79C2311yescharacteristic
639C4⋊C4×D79C2312yes—
640C4⋊C4×D79C2312yes—
641C4⋊C4×D79C2311yescharacteristic
642C2×(C2×D79)⋊C4C2314yes—
643C2×(C2×D79)⋊C4C2312yes—
644C2×(C2×D79)⋊C4C2314yes—
645C2×(C2×D79)⋊C4C2314yes—
646C2×(C2×D79)⋊C4C2312yes—
647C2×(C2×D79)⋊C4C2312yes—
648C2×(C2×D79)⋊C4C2312yes—
649C2×(C2×D79)⋊C4C2314yes—
650C2×(C2×D79)⋊C4C2312yes—
651C22⋊C4×D79C2314yes—
652C22⋊C4×D79C2312yes—
653C22⋊C4×D79C2314yes—
654C22⋊C4×D79C2314yes—
655C22⋊C4×D79C2314yes—
656C22⋊C4×D79C2314yes—
657C22⋊C4×D79C2312yes—
658C22⋊C4×D79C2312yes—
659C22⋊C4×D79C2314yes—
660C22⋊C4×D79C2314yes—
661C22⋊C4×D79C2312yes—
662C22⋊C4×D79C2314yes—
663C22⋊C4×D79C2312yes—
664C2×C4×Dic79C2311yescharacteristic
665C2×C4×Dic79C2311yescharacteristic
666C2×C4×Dic79C2311yescharacteristic
667C2×C4×Dic79C2312yes—
668C42×D79C2311yescharacteristic
669C42×D79C2311yescharacteristic
670C42×D79C2311yescharacteristic
671C42×D79C2311yescharacteristic
672C42×D79C2311yescharacteristic
673C42×D79C2311yescharacteristic
674C42×D79C2311yescharacteristic
675C42×D79C2311yescharacteristic
676C42×D79C2312yes—
677C2×#41×C79C2314yes—
678C2×#41×C79C2312yes—
679C4⋊Q8×C79C2314yes—
680C4⋊Q8×C79C2311yescharacteristic
681C4⋊Q8×C79C2312yes—
682#127×C79C2311yescharacteristic
683#126×C79C2312yes—
684#126×C79C2314yes—
685#126×C79C2314yes—
686#125×C79C2312yes—
687#125×C79C2312yes—
688#125×C79C2312yes—
689#125×C79C2314yes—
690#125×C79C2312yes—
691#125×C79C2312yes—
692#125×C79C2311yescharacteristic
693#124×C79C2311yescharacteristic
694#124×C79C2312yes—
695#123×C79C2314yes—
696#123×C79C2314yes—
697#123×C79C2314yes—
698#123×C79C2314yes—
699#123×C79C2312yes—
700#123×C79C2314yes—
701#123×C79C2314yes—
702C22⋊Q8×C79C2314yes—
703C22⋊Q8×C79C2314yes—
704C22⋊Q8×C79C2311yescharacteristic
705C22⋊Q8×C79C2314yes—
706C22⋊Q8×C79C2314yes—
707C22⋊Q8×C79C2314yes—
708C22⋊Q8×C79C2314yes—
709#121×C79C2314yes—
710#121×C79C2312yes—
711#121×C79C2312yes—
712#121×C79C2312yes—
713#121×C79C2314yes—
714#121×C79C2312yes—
715#121×C79C2314yes—
716#121×C79C2314yes—
717#121×C79C2311yescharacteristic
718C4×Q8×C79C2311yescharacteristic
719C4×D4×C79C2312yes—
720C4×D4×C79C2312yes—
721C4×D4×C79C2312yes—
722C4×D4×C79C2312yes—
723C4×D4×C79C2312yes—
724C4×D4×C79C2314yes—
725C4×D4×C79C2311yescharacteristic
726C4×D4×C79C2314yes—
727#117×C79C2312yes—
728#117×C79C2312yes—
729C2×C4⋊C4×C79C2312yes—
730C2×C4⋊C4×C79C2312yes—
731C2×C4⋊C4×C79C2311yescharacteristic
732C2×C4⋊C4×C79C2314yes—
733C2×C4⋊C4×C79C2312yes—
734C2×C4⋊C4×C79C2311yescharacteristic
735C2×C42×C79C2311yescharacteristic
736C23×D79C2412yes—
737C23×D79C2414yes—
738C23×D79C2412yes—
739C23×D79C2414yes—
740C23×D79C2414yes—
741C23×D79C2411yescharacteristic
742#11929625—44no—
743#11929625—48no—
744#11929625—48no—
745#11929624—44no—
746#11929624—48no—
747#11929624—48no—
748#11929624—48no—
749#11929624—48no—
750#11929624—48no—
751#11929624—44no—
752#11929623—44no—
753#11929623—48no—
754#11929623—44no—
755C2×Dic158—42no—
756C2×Dic158C2412yes—
757C2×Dic158C2412yes—
758C2×Dic158C2412yes—
759C2×Dic158C2414yes—
760C2×Dic158C2411yescharacteristic
761C2×Dic158C2412yes—
762C2×Dic158C2414yes—
763Q8×D79—42no—
764Q8×D79—44no—
765C2×D316—28no—
766C2×D316—42no—
767C2×D316—44no—
768C2×D316—48no—
769C2×D316—48no—
770C2×D316C2414yes—
771C2×D316C2414yes—
772C2×D316C2414yes—
773C2×D316C2412yes—
774C2×D316C2412yes—
775C2×D316C2412yes—
776C2×D316C2412yes—
777C2×D316C2414yes—
778C2×D316C2414yes—
779C2×D316C2414yes—
780C2×D316C2414yes—
781C2×D316C2412yes—
782C2×D316C2411yescharacteristic
783C2×D316C2414yes—
784C2×D316C2412yes—
785C2×D316C2414yes—
786C2×C22⋊D79C2414yes—
787C2×C22⋊D79C2414yes—
788C2×C22⋊D79C2412yes—
789C2×C22⋊D79C2412yes—
790C2×C22⋊D79C2414yes—
791C2×C22⋊D79C2412yes—
792C2×C22⋊D79C2414yes—
793C2×C22⋊D79C2414yes—
794C2×C22⋊D79C2414yes—
795C2×C22⋊D79C2414yes—
796C2×C22⋊D79C2414yes—
797C2×C22⋊D79C2414yes—
798C2×C22⋊D79C2414yes—
799C2×C22⋊D79C2414yes—
800D4×D79—216no—
801D4×D79—28no—
802D4×D79—42no—
803D4×D79—48no—
804D4×D79—44no—
805D4×D79—48no—
806D4×D79—48no—
807D4×D79—48no—
808D4×D79—48no—
809D4×D79—44no—
810D4×D79—44no—
811D4×D79—44no—
812C22×Dic79C2411yescharacteristic
813C22×Dic79C2411yescharacteristic
814C22×Dic79C2412yes—
815C22×Dic79C2414yes—
816C22×Dic79C2414yes—
817C22×Dic79C2411yescharacteristic
818C22×Dic79C2412yes—
819C2×C4×D79—24no—
820C2×C4×D79—42no—
821C2×C4×D79—44no—
822C2×C4×D79—48no—
823C2×C4×D79—42no—
824C2×C4×D79—44no—
825C2×C4×D79C2411yescharacteristic
826C2×C4×D79C2414yes—
827C2×C4×D79C2411yescharacteristic
828C2×C4×D79C2411yescharacteristic
829C2×C4×D79C2412yes—
830C2×C4×D79C2411yescharacteristic
831C2×C4×D79C2412yes—
832C2×C4×D79C2414yes—
833C2×C4×D79C2411yescharacteristic
834C2×C4×D79C2411yescharacteristic
835C2×C4×D79C2411yescharacteristic
836C2×C4×D79C2411yescharacteristic
837C2×C4×D79C2412yes—
838C2×C4×D79C2414yes—
839C2×C4×D79C2414yes—
840C2×C4×D79C2414yes—
841C2×C4×D79C2414yes—
842C2×C4×D79C2414yes—
843C2×C4×D79C2414yes—
844C2×C4×D79C2414yes—
845C2×C4×D79C2414yes—
846C2×C4×D79C2411yescharacteristic
847C2×C4×D79C2411yescharacteristic
848C2×C4×D79C2411yescharacteristic
849C2×C4×D79C2411yescharacteristic
850C2×C4×D79C2412yes—
851C2×C4×D79C2412yes—
852C2×C4×D79C2414yes—
853C4⋊Dic79C2412yes—
854C4⋊Dic79C2412yes—
855C4⋊Dic79C2414yes—
856C4⋊Dic79C2412yes—
857C4⋊Dic79C2412yes—
858C4⋊Dic79C2412yes—
859C4⋊Dic79C2411yescharacteristic
860C4⋊Dic79C2411yescharacteristic
861C4⋊Dic79C2412yes—
862C4⋊Dic79C2414yes—
863C4⋊Dic79C2414yes—
864C4⋊Dic79C2414yes—
865Dic79⋊C4C2412yes—
866Dic79⋊C4C2412yes—
867Dic79⋊C4C2414yes—
868Dic79⋊C4C2412yes—
869Dic79⋊C4C2414yes—
870Dic79⋊C4C2414yes—
871Dic79⋊C4C2412yes—
872Dic79⋊C4C2412yes—
873Dic79⋊C4C2412yes—
874Dic79⋊C4C2412yes—
875Dic79⋊C4C2414yes—
876Dic79⋊C4C2412yes—
877Dic79⋊C4C2412yes—
878Dic79⋊C4C2414yes—
879Dic79⋊C4C2414yes—
880Dic79⋊C4C2412yes—
881Dic79⋊C4C2414yes—
882Dic79⋊C4C2414yes—
883Dic79⋊C4C2414yes—
884Dic79⋊C4C2414yes—
885C22⋊Dic79C2412yes—
886C22⋊Dic79C2412yes—
887C22⋊Dic79C2414yes—
888C22⋊Dic79C2414yes—
889C22⋊Dic79C2412yes—
890C22⋊Dic79C2412yes—
891C22⋊Dic79C2412yes—
892C22⋊Dic79C2414yes—
893C22⋊Dic79C2414yes—
894C22⋊Dic79C2414yes—
895(C2×D79)⋊C4C2412yes—
896(C2×D79)⋊C4C2412yes—
897(C2×D79)⋊C4C2414yes—
898(C2×D79)⋊C4C2414yes—
899(C2×D79)⋊C4C2412yes—
900(C2×D79)⋊C4C2414yes—
901(C2×D79)⋊C4C2412yes—
902(C2×D79)⋊C4C2414yes—
903(C2×D79)⋊C4C2414yes—
904(C2×D79)⋊C4C2414yes—
905(C2×D79)⋊C4C2412yes—
906(C2×D79)⋊C4C2414yes—
907(C2×D79)⋊C4C2414yes—
908(C2×D79)⋊C4C2412yes—
909(C2×D79)⋊C4C2412yes—
910(C2×D79)⋊C4C2414yes—
911(C2×D79)⋊C4C2412yes—
912(C2×D79)⋊C4C2414yes—
913(C2×D79)⋊C4C2412yes—
914(C2×D79)⋊C4C2412yes—
915(C2×D79)⋊C4C2414yes—
916(C2×D79)⋊C4C2414yes—
917(C2×D79)⋊C4C2414yes—
918(C2×D79)⋊C4C2414yes—
919(C2×D79)⋊C4C2414yes—
920(C2×D79)⋊C4C2414yes—
921(C2×D79)⋊C4C2414yes—
922(C2×D79)⋊C4C2414yes—
923(C2×D79)⋊C4C2414yes—
924(C2×D79)⋊C4C2414yes—
925(C2×D79)⋊C4C2414yes—
926(C2×D79)⋊C4C2414yes—
927(C2×D79)⋊C4C2414yes—
928(C2×D79)⋊C4C2414yes—
929(C2×D79)⋊C4C2414yes—
930(C2×D79)⋊C4C2414yes—
931C4×Dic79C2411yescharacteristic
932C4×Dic79C2411yescharacteristic
933C4×Dic79C2411yescharacteristic
934C4×Dic79C2411yescharacteristic
935C4×Dic79C2411yescharacteristic
936C4×Dic79C2411yescharacteristic
937C4×Dic79C2411yescharacteristic
938C4×Dic79C2411yescharacteristic
939C4×Dic79C2411yescharacteristic
940C4×Dic79C2411yescharacteristic
941C4×Dic79C2411yescharacteristic
942C4×Dic79C2411yescharacteristic
943C4×Dic79C2412yes—
944C4×Dic79C2412yes—
945C4×Dic79C2412yes—
946C4×Dic79C2414yes—
947C4×Dic79C2414yes—
948C4×Dic79C2414yes—
949C4×Dic79C2414yes—
950C4×Dic79C2414yes—
951#41×C79—44no—
952#41×C79—48no—
953C2×Q8×C79C2412yes—
954C2×Q8×C79C2411yescharacteristic
955C2×Q8×C79C2414yes—
956C2×D4×C79C2412yes—
957C2×D4×C79C2414yes—
958C2×D4×C79C2412yes—
959C2×D4×C79C2412yes—
960C2×D4×C79C2414yes—
961C2×D4×C79C2411yescharacteristic
962C2×D4×C79C2412yes—
963C2×D4×C79C2414yes—
964C22×C4×C79C2411yescharacteristic
965C22×C4×C79C2411yescharacteristic
966C22×C4×C79C2412yes—
967C22×C4×C79C2412yes—
968C22×C4×C79C2414yes—
969C22×C4×C79C2414yes—
970C22×C4×C79C2414yes—
971C22×C4×C79C2414yes—
972C22×C4×C79C2411yescharacteristic
973C22×C4×C79C2412yes—
974C4⋊C4×C79C2412yes—
975C4⋊C4×C79C2414yes—
976C4⋊C4×C79C2412yes—
977C4⋊C4×C79C2412yes—
978C4⋊C4×C79C2412yes—
979C4⋊C4×C79C2414yes—
980C4⋊C4×C79C2414yes—
981C4⋊C4×C79C2414yes—
982C4⋊C4×C79C2414yes—
983C4⋊C4×C79C2412yes—
984C4⋊C4×C79C2414yes—
985C4⋊C4×C79C2414yes—
986C4⋊C4×C79C2412yes—
987C4⋊C4×C79C2412yes—
988C4⋊C4×C79C2412yes—
989C4⋊C4×C79C2412yes—
990C4⋊C4×C79C2414yes—
991C4⋊C4×C79C2412yes—
992C4⋊C4×C79C2411yescharacteristic
993C4⋊C4×C79C2411yescharacteristic
994C22⋊C4×C79C2412yes—
995C22⋊C4×C79C2414yes—
996C22⋊C4×C79C2412yes—
997C22⋊C4×C79C2412yes—
998C22⋊C4×C79C2412yes—
999C22⋊C4×C79C2414yes—
1000C22⋊C4×C79C2414yes—
1001C22⋊C4×C79C2414yes—
1002C22⋊C4×C79C2414yes—
1003C22⋊C4×C79C2414yes—
1004C22⋊C4×C79C2414yes—
1005C22⋊C4×C79C2412yes—
1006C42×C79C2411yescharacteristic
1007C42×C79C2411yescharacteristic
1008C42×C79C2411yescharacteristic
1009C42×C79C2411yescharacteristic
1010C42×C79C2412yes—
1011C42×C79C2414yes—
1012C23×C79C2512yes—
1013C23×C79C2514yes—
1014C23×C79C2511yescharacteristic
1015C22×D79—24no—
1016C22×D79—28no—
1017C22×D79—24no—
1018C22×D79—41no—
1019C22×D79—41no—
1020C22×D79—42no—
1021C22×D79—42no—
1022C22×D79—44no—
1023C22×D79—44no—
1024C22×D79—42no—
1025C22×D79—42no—
1026C22×D79—44no—
1027C22×D79—44no—
1028C22×D79—44no—
1029C22×D79—44no—
1030C22×D79—44no—
1031C22×D79—44no—
1032C22×D79H(5,𝔽2)14yes—
1033C22×D79C2512yes—
1034C22×D79C2514yes—
1035C22×D79C2514yes—
1036C22×D79C2511yescharacteristic
1037C22×D79C2511yescharacteristic
1038Q8×C79—42no—
1039Q8×C79—41no—
1040Q8×C79—44no—
1041D4×C79—24no—
1042D4×C79—28no—
1043D4×C79—24no—
1044D4×C79—44no—
1045D4×C79—42no—
1046D4×C79—44no—
1047D4×C79—42no—
1048D4×C79—41no—
1049C2×C4×C79—22no—
1050C2×C4×C79—24no—
1051C2×C4×C79—22no—
1052C2×C4×C79—24no—
1053C2×C4×C79—44no—
1054C2×C4×C79—42no—
1055C2×C4×C79—41no—
1056C2×C4×C79—44no—
1057C2×C4×C79—44no—
1058C2×C4×C79—44no—
1059C2×C4×C79C2512yes—
1060C2×C4×C79C2511yescharacteristic
1061C2×C4×C79C2511yescharacteristic
1062C2×C4×C79C2511yescharacteristic
1063C2×C4×C79C2511yescharacteristic
1064C2×C4×C79C2511yescharacteristic
1065C2×C4×C79C2514yes—
1066C2×C4×C79C2514yes—
1067C2×C4×C79C2514yes—
1068C2×C4×C79C2512yes—
1069C2×C4×C79C2512yes—
1070C2×C4×C79C2511yescharacteristic
1071C22⋊D79—24no—
1072C22⋊D79—28no—
1073C22⋊D79—24no—
1074C22⋊D79—28no—
1075C22⋊D79—24no—
1076C22⋊D79—28no—
1077C22⋊D79—44no—
1078C22⋊D79—44no—
1079C22⋊D79—44no—
1080C22⋊D79—44no—
1081C22⋊D79—44no—
1082C22⋊D79—44no—
1083C22⋊D79—44no—
1084C22⋊D79—44no—
1085C2×Dic79—22no—
1086C2×Dic79—22no—
1087C2×Dic79—41no—
1088C2×Dic79—42no—
1089C2×Dic79—44no—
1090C2×Dic79—42no—
1091C2×Dic79—44no—
1092C2×Dic79C2511yescharacteristic
1093C2×Dic79C2511yescharacteristic
1094C2×Dic79C2514yes—
1095C2×Dic79C2512yes—
1096C2×Dic79C2511yescharacteristic
1097C2×Dic79C2511yescharacteristic
1098C2×Dic79C2511yescharacteristic
1099C2×Dic79C2512yes—
1100C2×Dic79C2514yes—
1101C2×Dic79C2512yes—
1102C2×Dic79C2511yescharacteristic
1103D316—24no—
1104D316—28no—
1105D316—28no—
1106D316—28no—
1107D316—24no—
1108D316—24no—
1109D316—44no—
1110D316—44no—
1111D316—44no—
1112D316—42no—
1113D316—41no—
1114D316—42no—
1115D316—44no—
1116D316—42no—
1117D316—44no—
1118D316—44no—
1119C4×D79—22no—
1120C4×D79—22no—
1121C4×D79—22no—
1122C4×D79—22no—
1123C4×D79—28no—
1124C4×D79—24no—
1125C4×D79—22no—
1126C4×D79—22no—
1127C4×D79—24no—
1128C4×D79—22no—
1129C4×D79—22no—
1130C4×D79—28no—
1131C4×D79—41no—
1132C4×D79—42no—
1133C4×D79—41no—
1134C4×D79—42no—
1135C4×D79—44no—
1136C4×D79—41no—
1137C4×D79—41no—
1138C4×D79—44no—
1139C4×D79—44no—
1140C4×D79—44no—
1141C4×D79—44no—
1142C4×D79—44no—
1143C4×D79—44no—
1144C4×D79—42no—
1145C4×D79—44no—
1146C4×D79—44no—
1147Dic158—24no—
1148Dic158—24no—
1149Dic158—41no—
1150Dic158—42no—
1151Dic158—44no—
1152Dic158—42no—
1153Dic158—44no—
1154C22×C79—21no—
1155C22×C79—21no—
1156C22×C79—22no—
1157C22×C79—24no—
1158C22×C79—24no—
1159C22×C79—22no—
1160C22×C79—24no—
1161C22×C79—22no—
1162C22×C79C2×H(5,𝔽2)12yes—
1163C22×C79C2611yescharacteristic
1164C2×D79—21no—
1165C2×D79—21no—
1166C2×D79—21no—
1167C2×D79—21no—
1168C2×D79—24no—
1169C2×D79—22no—
1170C2×D79—24no—
1171C2×D79—22no—
1172C2×D79—24no—
1173C2×D79—22no—
1174C2×D79—24no—
1175C2×D79—24no—
1176C2×D79—24no—
1177C2×D79—44no—
1178C2×D79—88no—
1179C2×D79—84no—
1180C2×D79—84no—
1181C2×D79—164no—
1182C2×D79—164no—
1183C2×D79C2×H(5,𝔽2)12yes—
1184C2×D79C2×H(5,𝔽2)12yes—
1185C4×C79—21no—
1186C4×C79—24no—
1187C4×C79—21no—
1188C4×C79—24no—
1189C4×C79—22no—
1190C4×C79—21no—
1191C4×C79—22no—
1192C4×C79—24no—
1193C4×C79—22no—
1194C4×C79—21no—
1195C4×C79—21no—
1196C4×C79#58512yes—
1197Dic79—22no—
1198Dic79—24no—
1199Dic79—21no—
1200Dic79—21no—
1201Dic79—21no—
1202Dic79—22no—
1203Dic79—24no—
1204Dic79—22no—
1205Dic79—21no—
1206Dic79—21no—
1207Dic79#58512yes—
1208#62822—791nomaximal, Sylow
1209C2×C79—22no—
1210C2×C79—42no—
1211C2×C79—44no—
1212C2×C79C22×H(5,𝔽2)11yescharacteristic
1213C2×C79C2×#58511yescharacteristic
1214C2×C79C2×#58511yescharacteristic
1215D79—22no—
1216D79—22no—
1217D79—44no—
1218D79—42no—
1219D79—44no—
1220#3560—794no—
1221#3560—792no—
1222#3560—792no—
1223#3559—792no—
1224#3559—791no—
1225#3559D7911yescharacteristic, complemented
1226#3558—792no—
1227#3558—791no—
1228#3558—791no—
1229#3545—792no—
1230#3545—792no—
1231#3544—792no—
1232#3543—792no—
1233#3522—792no—
1234#3522—792no—
1235#3519—792no—
1236#3519—792no—
1237#3513—792no—
1238#3513—792no—
1239#3513—794no—
1240#3505—792no—
1241#3505—792no—
1242#3496—792no—
1243#3496—792no—
1244#3494—794no—
1245#3494—792no—
1246#3494—792no—
1247#3485—794no—
1248C2×#532—791no—
1249C2×#529—791no—
1250C2×#529—791no—
1251C79#6282211yescharacteristic, complemented, Sylow
1252C2×H(5,𝔽2)—794no—
1253C22×#41—792no—
1254#563—794no—
1255#563—792no—
1256#563—794no—
1257#563C2×D7912yescomplemented
1258#562—792no—
1259#562—792no—
1260#562—792no—
1261#562C2×D7912yescomplemented
1262H(3,𝔽4)—792no—
1263H(3,𝔽4)—792no—
1264#560—794no—
1265#560—794no—
1266#559—794no—
1267#559—792no—
1268#559—792no—
1269#559—792no—
1270Q82—792no—
1271#555—794no—
1272#555—794no—
1273#555—792no—
1274#554—792no—
1275#554—792no—
1276#554—794no—
1277#554—792no—
1278#554C2×D7912yescomplemented
1279#553—794no—
1280#553—794no—
1281#553—794no—
1282#553—794no—
1283#553—792no—
1284#553—794no—
1285#553—794no—
1286#553—794no—
1287#553—794no—
1288#553—794no—
1289#553—794no—
1290#553—792no—
1291#553C2×D7912yescomplemented
1292#553C2×D7912yescomplemented
1293#552—794no—
1294#552—792no—
1295#552—792no—
1296#551—794no—
1297#551—794no—
1298#551—794no—
1299#551—794no—
1300#551—794no—
1301#551—794no—
1302#551—794no—
1303#551—794no—
1304#551—794no—
1305#551—794no—
1306#550—792no—
1307#550—792no—
1308#548—794no—
1309#548—792no—
1310#548—792no—
1311#547—794no—
1312#547—794no—
1313#547—792no—
1314#547—794no—
1315#547—794no—
1316#547—794no—
1317#547—794no—
1318#547—794no—
1319#547—794no—
1320#547—794no—
1321#547—792no—
1322#547—792no—
1323#547C2×D7914yescomplemented
1324#547C2×D7912yescomplemented
1325#546—794no—
1326#546—794no—
1327#546—794no—
1328#546—794no—
1329#546—794no—
1330#546—794no—
1331#546—794no—
1332#546—794no—
1333#546—794no—
1334#546—794no—
1335#546—794no—
1336#546—794no—
1337#546—794no—
1338#546—794no—
1339#546—794no—
1340#546—794no—
1341#546—792no—
1342#546—794no—
1343#546—792no—
1344#546—792no—
1345#546—794no—
1346#546—792no—
1347D42—792no—
1348D42—794no—
1349D42—792no—
1350D42—794no—
1351D42—792no—
1352D42—792no—
1353D42—792no—
1354#544—794no—
1355#544—792no—
1356#544C2×D7912yescomplemented
1357#542—792no—
1358#542—792no—
1359#542—794no—
1360#542—794no—
1361#542—794no—
1362#542—794no—
1363#542—794no—
1364#542—794no—
1365#542—792no—
1366#542—792no—
1367#540—792no—
1368#540—792no—
1369#540—794no—
1370#540—794no—
1371#540—792no—
1372#540C2×D7912yescomplemented
1373#539—794no—
1374#539—794no—
1375#539—794no—
1376#539—794no—
1377#539—792no—
1378#539C2×D7912yescomplemented
1379#539C2×D7914yescomplemented
1380#538—794no—
1381#538—794no—
1382#538—794no—
1383#538—794no—
1384#538—794no—
1385#538—792no—
1386#538—794no—
1387#538—794no—
1388#538—792no—
1389#538—794no—
1390#538—794no—
1391#537—794no—
1392#537—792no—
1393#537C2×D7912yescomplemented
1394#536—794no—
1395#536—794no—
1396#535—792no—
1397#535—794no—
1398#535—792no—
1399#534—794no—
1400#534—794no—
1401#534—794no—
1402#534—794no—
1403#534—794no—
1404#534—792no—
1405#534—792no—
1406#532—792no—
1407#532—794no—
1408#532—791no—
1409#532—792no—
1410#532—791no—
1411#532—792no—
1412#532—792no—
1413#532—792no—
1414#532—792no—
1415#532—792no—
1416#532—792no—
1417#532—791no—
1418#532C2×D7911yescharacteristic, complemented
1419C2×C4⋊Q8—791no—
1420C2×#127—791no—
1421#529—792no—
1422#529—792no—
1423#529—792no—
1424#529—792no—
1425#529—792no—
1426#529—792no—
1427#529—791no—
1428#529—792no—
1429#529—792no—
1430#529—792no—
1431#529—792no—
1432#529—791no—
1433#529—792no—
1434#529—794no—
1435#529—791no—
1436#529—791no—
1437#529—791no—
1438#529—791no—
1439#529—792no—
1440#529—792no—
1441#529—792no—
1442#529—791no—
1443#529C2×D7911yescharacteristic, complemented
1444C2×#126—792no—
1445C2×#126—792no—
1446C2×#125—791no—
1447C2×#125C2×D7911yescharacteristic, complemented
1448C2×#124—791no—
1449C2×#124—792no—
1450C2×#124—791no—
1451#525—794no—
1452#525—792no—
1453#525—794no—
1454#525—794no—
1455#525—792no—
1456C2×#123—792no—
1457C2×#123—794no—
1458C2×#123—792no—
1459C2×#123—794no—
1460C2×C22⋊Q8—791no—
1461C2×C22⋊Q8—791no—
1462C2×#121—791no—
1463C2×#121—792no—
1464C2×#121—792no—
1465C2×#121—794no—
1466C2×#121—792no—
1467C2×#121—791no—
1468C2×#121—792no—
1469#520—792no—
1470#520—794no—
1471#520—792no—
1472#518—794no—
1473#518—794no—
1474#518—792no—
1475#518—792no—
1476C2×C4×Q8—791no—
1477C2×C4×Q8—791no—
1478C2×C4×D4—792no—
1479C2×C4×D4—791no—
1480C2×C4×D4—792no—
1481C2×C4×D4—792no—
1482C2×C4×D4—792no—
1483C2×C4×D4—791no—
1484C2×#117—792no—
1485C2×#117—792no—
1486C22×C42—791no—
1487H(5,𝔽2)—31616no—
1488C2×#41—3168no—
1489C2×#41—794no—
1490C2×#41—792no—
1491C2×#41—794no—
1492C2×#41—792no—
1493C2×#41—792no—
1494C2×#41—794no—
1495C2×#41—792no—
1496C2×#41—794no—
1497C2×#41—794no—
1498C2×#41—792no—
1499C2×#41—794no—
1500C2×#41—794no—
1501C2×#41—794no—
1502C2×#41C22×D7912yes—
1503C2×#41C22×D7914yes—
1504C22×Q8—791no—
1505C22×Q8—792no—
1506C22×Q8—791no—
1507C22×D4—791no—
1508C22×D4—792no—
1509C22×D4—792no—
1510C22×D4—792no—
1511C22×D4—794no—
1512C22×D4—794no—
1513C22×D4—794no—
1514C22×D4—794no—
1515C22×D4—794no—
1516C22×D4—792no—
1517C22×D4—792no—
1518C22×D4—794no—
1519C22×D4—791no—
1520C22×D4—792no—
1521C22×D4—794no—
1522C22×D4—794no—
1523C22×D4—792no—
1524C23×C4—792no—
1525C23×C4—792no—
1526C23×C4—791no—
1527C23×C4—791no—
1528C23×C4—794no—
1529C23×C4—791no—
1530C4⋊Q8—792no—
1531C4⋊Q8—794no—
1532C4⋊Q8—794no—
1533C4⋊Q8—792no—
1534C4⋊Q8—792no—
1535C4⋊Q8—792no—
1536C4⋊Q8—794no—
1537C4⋊Q8—794no—
1538C4⋊Q8—791no—
1539C4⋊Q8C22×D7911yescharacteristic
1540C4⋊Q8C22×D7912yes—
1541C4⋊Q8C22×D7914yes—
1542#127—792no—
1543#127—792no—
1544#127—792no—
1545#127—792no—
1546#127—794no—
1547#127—791no—
1548#127—792no—
1549#127C22×D7911yescharacteristic
1550#126—794no—
1551#126—792no—
1552#126—794no—
1553#126—794no—
1554#126—792no—
1555#126—792no—
1556#126—794no—
1557#126—794no—
1558#126—794no—
1559#126—794no—
1560#126—794no—
1561#126—794no—
1562#126—794no—
1563#126—794no—
1564#126—792no—
1565#126—792no—
1566#126—792no—
1567#126—794no—
1568#126—794no—
1569#126—794no—
1570#126—792no—
1571#126C22×D7912yes—
1572#126C22×D7914yes—
1573#126C22×D7914yes—
1574#125—791no—
1575#125—791no—
1576#125—792no—
1577#125—792no—
1578#125—794no—
1579#125—792no—
1580#125—794no—
1581#125—794no—
1582#125—791no—
1583#125—794no—
1584#125C22×D7911yescharacteristic
1585#125C22×D7912yes—
1586#125C22×D7912yes—
1587#125C22×D7912yes—
1588#125C22×D7912yes—
1589#125C22×D7912yes—
1590#125C22×D7914yes—
1591#124—791no—
1592#124—792no—
1593#124—794no—
1594#124—794no—
1595#124—794no—
1596#124—794no—
1597#124—791no—
1598#124—792no—
1599#124—792no—
1600#124—794no—
1601#124—792no—
1602#124—792no—
1603#124—794no—
1604#124—794no—
1605#124—794no—
1606#124—794no—
1607#124—794no—
1608#124—794no—
1609#124—794no—
1610#124—794no—
1611#124—794no—
1612#124—792no—
1613#124—792no—
1614#124—792no—
1615#124—791no—
1616#124—792no—
1617#124—792no—
1618#124—792no—
1619#124—794no—
1620#124C22×D7911yescharacteristic
1621#124C22×D7912yes—
1622#123—792no—
1623#123—794no—
1624#123—792no—
1625#123—794no—
1626#123—794no—
1627#123—794no—
1628#123—794no—
1629#123—792no—
1630#123—794no—
1631#123—792no—
1632#123—794no—
1633#123—794no—
1634#123—794no—
1635#123—794no—
1636#123—794no—
1637#123—794no—
1638#123—794no—
1639#123—794no—
1640#123—794no—
1641#123—794no—
1642#123—794no—
1643#123—794no—
1644#123—794no—
1645#123—794no—
1646#123—794no—
1647#123—794no—
1648#123—794no—
1649#123—794no—
1650#123—794no—
1651#123—794no—
1652#123—792no—
1653#123—792no—
1654#123—792no—
1655#123—794no—
1656#123—794no—
1657#123—794no—
1658#123—794no—
1659#123—794no—
1660#123—794no—
1661#123—794no—
1662#123—794no—
1663#123—794no—
1664#123—794no—
1665#123—794no—
1666#123—794no—
1667#123C22×D7912yes—
1668#123C22×D7914yes—
1669#123C22×D7914yes—
1670#123C22×D7914yes—
1671#123C22×D7914yes—
1672#123C22×D7914yes—
1673#123C22×D7914yes—
1674C22⋊Q8—791no—
1675C22⋊Q8—794no—
1676C22⋊Q8—794no—
1677C22⋊Q8—794no—
1678C22⋊Q8—791no—
1679C22⋊Q8—792no—
1680C22⋊Q8—794no—
1681C22⋊Q8—792no—
1682C22⋊Q8—792no—
1683C22⋊Q8—792no—
1684C22⋊Q8—792no—
1685C22⋊Q8—791no—
1686C22⋊Q8—792no—
1687C22⋊Q8—794no—
1688C22⋊Q8—794no—
1689C22⋊Q8—792no—
1690C22⋊Q8—794no—
1691C22⋊Q8—794no—
1692C22⋊Q8—794no—
1693C22⋊Q8—794no—
1694C22⋊Q8—794no—
1695C22⋊Q8—794no—
1696C22⋊Q8—794no—
1697C22⋊Q8—794no—
1698C22⋊Q8—794no—
1699C22⋊Q8—794no—
1700C22⋊Q8—794no—
1701C22⋊Q8—792no—
1702C22⋊Q8—794no—
1703C22⋊Q8—794no—
1704C22⋊Q8C22×D7911yescharacteristic
1705C22⋊Q8C22×D7914yes—
1706C22⋊Q8C22×D7914yes—
1707C22⋊Q8C22×D7914yes—
1708C22⋊Q8C22×D7914yes—
1709C22⋊Q8C22×D7914yes—
1710C22⋊Q8C22×D7914yes—
1711#121—792no—
1712#121—792no—
1713#121—794no—
1714#121—791no—
1715#121—792no—
1716#121—794no—
1717#121—794no—
1718#121—794no—
1719#121—794no—
1720#121—794no—
1721#121—794no—
1722#121—794no—
1723#121—794no—
1724#121—794no—
1725#121—794no—
1726#121—791no—
1727#121—792no—
1728#121—792no—
1729#121—794no—
1730#121—792no—
1731#121—794no—
1732#121—794no—
1733#121—794no—
1734#121—794no—
1735#121—792no—
1736#121—792no—
1737#121—792no—
1738#121—792no—
1739#121—791no—
1740#121—792no—
1741#121—792no—
1742#121—794no—
1743#121—794no—
1744#121—794no—
1745#121—792no—
1746#121—792no—
1747#121—794no—
1748#121—792no—
1749#121—794no—
1750#121—794no—
1751#121—794no—
1752#121—794no—
1753#121—794no—
1754#121—794no—
1755#121—794no—
1756#121—792no—
1757#121—794no—
1758#121—794no—
1759#121—794no—
1760#121—794no—
1761#121—794no—
1762#121—794no—
1763#121—794no—
1764#121—794no—
1765#121—794no—
1766#121—794no—
1767#121—794no—
1768#121—794no—
1769#121C22×D7911yescharacteristic
1770#121C22×D7912yes—
1771#121C22×D7912yes—
1772#121C22×D7914yes—
1773#121C22×D7912yes—
1774#121C22×D7912yes—
1775#121C22×D7914yes—
1776#121C22×D7914yes—
1777#121C22×D7914yes—
1778#120—794no—
1779#120—794no—
1780#120—794no—
1781#120—794no—
1782#120—794no—
1783#120—794no—
1784#120—794no—
1785#120—794no—
1786#120—794no—
1787#120—794no—
1788#120—794no—
1789#120—794no—
1790#120—794no—
1791#120—794no—
1792#120—794no—
1793#120—794no—
1794#120—794no—
1795#120—794no—
1796#120—794no—
1797#120—794no—
1798C4×Q8—791no—
1799C4×Q8—792no—
1800C4×Q8—792no—
1801C4×Q8—791no—
1802C4×Q8—792no—
1803C4×Q8—792no—
1804C4×Q8—792no—
1805C4×Q8—794no—
1806C4×Q8—792no—
1807C4×Q8—792no—
1808C4×Q8—791no—
1809C4×Q8—792no—
1810C4×Q8C22×D7911yescharacteristic
1811C4×D4—792no—
1812C4×D4—791no—
1813C4×D4—792no—
1814C4×D4—792no—
1815C4×D4—794no—
1816C4×D4—794no—
1817C4×D4—794no—
1818C4×D4—792no—
1819C4×D4—792no—
1820C4×D4—792no—
1821C4×D4—794no—
1822C4×D4—794no—
1823C4×D4—794no—
1824C4×D4—794no—
1825C4×D4—794no—
1826C4×D4—794no—
1827C4×D4—794no—
1828C4×D4—794no—
1829C4×D4—794no—
1830C4×D4—794no—
1831C4×D4—794no—
1832C4×D4—792no—
1833C4×D4—792no—
1834C4×D4—791no—
1835C4×D4—792no—
1836C4×D4—794no—
1837C4×D4—794no—
1838C4×D4—792no—
1839C4×D4—792no—
1840C4×D4—794no—
1841C4×D4—792no—
1842C4×D4—794no—
1843C4×D4—792no—
1844C4×D4—794no—
1845C4×D4—794no—
1846C4×D4—792no—
1847C4×D4—792no—
1848C4×D4—794no—
1849C4×D4—792no—
1850C4×D4—794no—
1851C4×D4—792no—
1852C4×D4—792no—
1853C4×D4—792no—
1854C4×D4—794no—
1855C4×D4—794no—
1856C4×D4—794no—
1857C4×D4—794no—
1858C4×D4—794no—
1859C4×D4—794no—
1860C4×D4—794no—
1861C4×D4—792no—
1862C4×D4—791no—
1863C4×D4—792no—
1864C4×D4—792no—
1865C4×D4—794no—
1866C4×D4—794no—
1867C4×D4—794no—
1868C4×D4—794no—
1869C4×D4—792no—
1870C4×D4C22×D7912yes—
1871C4×D4C22×D7911yescharacteristic
1872C4×D4C22×D7912yes—
1873C4×D4C22×D7912yes—
1874C4×D4C22×D7914yes—
1875C4×D4C22×D7914yes—
1876C4×D4C22×D7912yes—
1877C4×D4C22×D7912yes—
1878#117—792no—
1879#117—794no—
1880#117—794no—
1881#117—794no—
1882#117—792no—
1883#117—794no—
1884#117—792no—
1885#117—794no—
1886#117—794no—
1887#117—792no—
1888#117—794no—
1889#117—794no—
1890#117—792no—
1891#117—792no—
1892#117—794no—
1893#117—792no—
1894#117—792no—
1895#117—794no—
1896#117—794no—
1897#117C22×D7912yes—
1898#117C22×D7912yes—
1899C2×C4⋊C4—792no—
1900C2×C4⋊C4—792no—
1901C2×C4⋊C4—794no—
1902C2×C4⋊C4—792no—
1903C2×C4⋊C4—792no—
1904C2×C4⋊C4—792no—
1905C2×C4⋊C4—792no—
1906C2×C4⋊C4—791no—
1907C2×C4⋊C4—792no—
1908C2×C4⋊C4—791no—
1909C2×C4⋊C4—792no—
1910C2×C4⋊C4—794no—
1911C2×C4⋊C4—792no—
1912C2×C4⋊C4—794no—
1913C2×C4⋊C4—794no—
1914C2×C4⋊C4C22×D7912yes—
1915C2×C4⋊C4C22×D7911yescharacteristic
1916C2×C4⋊C4C22×D7912yes—
1917C2×C4⋊C4C22×D7911yescharacteristic
1918C2×C4⋊C4C22×D7912yes—
1919C2×C4⋊C4C22×D7914yes—
1920C2×C22⋊C4—792no—
1921C2×C22⋊C4—792no—
1922C2×C22⋊C4—792no—
1923C2×C22⋊C4—792no—
1924C2×C22⋊C4—792no—
1925C2×C22⋊C4—794no—
1926C2×C22⋊C4—794no—
1927C2×C22⋊C4—794no—
1928C2×C22⋊C4—794no—
1929C2×C22⋊C4—792no—
1930C2×C22⋊C4—792no—
1931C2×C22⋊C4—792no—
1932C2×C22⋊C4—794no—
1933C2×C22⋊C4—794no—
1934C2×C22⋊C4—792no—
1935C2×C22⋊C4—792no—
1936C2×C22⋊C4—794no—
1937C2×C22⋊C4—794no—
1938C2×C22⋊C4—794no—
1939C2×C22⋊C4—794no—
1940C2×C22⋊C4—794no—
1941C2×C22⋊C4—794no—
1942C2×C42—791no—
1943C2×C42—792no—
1944C2×C42—791no—
1945C2×C42—791no—
1946C2×C42—791no—
1947C2×C42—792no—
1948C2×C42—791no—
1949C2×C42—791no—
1950C2×C42—791no—
1951C2×C42—791no—
1952C2×C42—791no—
1953C2×C42—791no—
1954C2×C42—791no—
1955C2×C42C22×D7911yescharacteristic
1956C24—794no—
1957C24—794no—
1958C24—791no—
1959C24—792no—
1960C24—792no—
1961C24—794no—
1962#41—44no—
1963#41—48no—
1964#41—3164no—
1965#41—3164no—
1966#41—3168no—
1967#41—3168no—
1968#41—3168no—
1969#41—3168no—
1970#41—3168no—
1971#41—3164no—
1972#41—3168no—
1973#41—3164no—
1974#41—3164no—
1975#41—3168no—
1976#41—3168no—
1977C2×Q8—3162no—
1978C2×Q8—3162no—
1979C2×Q8—3164no—
1980C2×Q8—791no—
1981C2×Q8—792no—
1982C2×Q8—794no—
1983C2×Q8—794no—
1984C2×Q8—792no—
1985C2×Q8—792no—
1986C2×Q8—792no—
1987C2×Q8C23×D7911yescharacteristic
1988C2×Q8C23×D7914yes—
1989C2×Q8C23×D7912yes—
1990C2×D4—3162no—
1991C2×D4—3164no—
1992C2×D4—3168no—
1993C2×D4—3168no—
1994C2×D4—3168no—
1995C2×D4—3168no—
1996C2×D4—3168no—
1997C2×D4—3168no—
1998C2×D4—3164no—
1999C2×D4—3164no—
2000C2×D4—3164no—
2001C2×D4—3164no—
2002C2×D4—3162no—
2003C2×D4—3168no—
2004C2×D4—794no—
2005C2×D4—794no—
2006C2×D4—794no—
2007C2×D4—794no—
2008C2×D4—794no—
2009C2×D4—794no—
2010C2×D4—794no—
2011C2×D4—794no—
2012C2×D4—792no—
2013C2×D4—794no—
2014C2×D4—792no—
2015C2×D4—794no—
2016C2×D4—794no—
2017C2×D4—792no—
2018C2×D4—794no—
2019C2×D4—791no—
2020C2×D4—792no—
2021C2×D4—794no—
2022C2×D4—794no—
2023C2×D4—792no—
2024C2×D4—794no—
2025C2×D4—792no—
2026C2×D4—794no—
2027C2×D4—794no—
2028C2×D4—792no—
2029C2×D4—792no—
2030C2×D4—794no—
2031C2×D4—792no—
2032C2×D4—794no—
2033C2×D4—794no—
2034C2×D4—1588no—
2035C2×D4—15816no—
2036C2×D4—1588no—
2037C2×D4C23×D7912yes—
2038C2×D4C23×D7914yes—
2039C2×D4C23×D7912yes—
2040C2×D4C23×D7911yescharacteristic
2041C2×D4C23×D7914yes—
2042C2×D4C23×D7912yes—
2043C2×D4C23×D7912yes—
2044C2×D4C23×D7914yes—
2045C22×C4—3162no—
2046C22×C4—3164no—
2047C22×C4—3168no—
2048C22×C4—3162no—
2049C22×C4—3164no—
2050C22×C4—791no—
2051C22×C4—792no—
2052C22×C4—794no—
2053C22×C4—792no—
2054C22×C4—794no—
2055C22×C4—791no—
2056C22×C4—791no—
2057C22×C4—791no—
2058C22×C4—791no—
2059C22×C4—792no—
2060C22×C4—792no—
2061C22×C4—794no—
2062C22×C4—794no—
2063C22×C4—794no—
2064C22×C4—792no—
2065C22×C4—794no—
2066C22×C4—794no—
2067C22×C4—794no—
2068C22×C4—794no—
2069C22×C4—794no—
2070C22×C4—794no—
2071C22×C4—791no—
2072C22×C4—791no—
2073C22×C4—791no—
2074C22×C4—791no—
2075C22×C4—791no—
2076C22×C4—791no—
2077C22×C4—791no—
2078C22×C4—791no—
2079C22×C4—791no—
2080C22×C4—791no—
2081C22×C4—792no—
2082C22×C4—794no—
2083C22×C4—794no—
2084C22×C4—792no—
2085C22×C4—1584no—
2086C22×C4C23×D7911yescharacteristic
2087C22×C4C23×D7911yescharacteristic
2088C22×C4C23×D7912yes—
2089C22×C4C23×D7912yes—
2090C22×C4C23×D7911yescharacteristic
2091C22×C4C23×D7912yes—
2092C22×C4C23×D7914yes—
2093C22×C4C23×D7914yes—
2094C22×C4C23×D7914yes—
2095C22×C4C23×D7914yes—
2096C4⋊C4—792no—
2097C4⋊C4—792no—
2098C4⋊C4—794no—
2099C4⋊C4—792no—
2100C4⋊C4—794no—
2101C4⋊C4—794no—
2102C4⋊C4—792no—
2103C4⋊C4—792no—
2104C4⋊C4—792no—
2105C4⋊C4—792no—
2106C4⋊C4—792no—
2107C4⋊C4—792no—
2108C4⋊C4—794no—
2109C4⋊C4—794no—
2110C4⋊C4—794no—
2111C4⋊C4—794no—
2112C4⋊C4—794no—
2113C4⋊C4—792no—
2114C4⋊C4—794no—
2115C4⋊C4—794no—
2116C4⋊C4—792no—
2117C4⋊C4—792no—
2118C4⋊C4—794no—
2119C4⋊C4—794no—
2120C4⋊C4—792no—
2121C4⋊C4—794no—
2122C4⋊C4—792no—
2123C4⋊C4—792no—
2124C4⋊C4—791no—
2125C4⋊C4—791no—
2126C4⋊C4—792no—
2127C4⋊C4—794no—
2128C4⋊C4C23×D7914yes—
2129C4⋊C4C23×D7912yes—
2130C4⋊C4C23×D7912yes—
2131C4⋊C4C23×D7914yes—
2132C4⋊C4C23×D7914yes—
2133C4⋊C4C23×D7912yes—
2134C4⋊C4C23×D7912yes—
2135C4⋊C4C23×D7912yes—
2136C4⋊C4C23×D7912yes—
2137C4⋊C4C23×D7912yes—
2138C4⋊C4C23×D7911yescharacteristic
2139C4⋊C4C23×D7911yescharacteristic
2140C4⋊C4C23×D7914yes—
2141C4⋊C4C23×D7912yes—
2142C4⋊C4C23×D7914yes—
2143C4⋊C4C23×D7914yes—
2144C4⋊C4C23×D7912yes—
2145C4⋊C4C23×D7914yes—
2146C4⋊C4C23×D7912yes—
2147C4⋊C4C23×D7914yes—
2148C22⋊C4—792no—
2149C22⋊C4—792no—
2150C22⋊C4—794no—
2151C22⋊C4—794no—
2152C22⋊C4—792no—
2153C22⋊C4—792no—
2154C22⋊C4—792no—
2155C22⋊C4—794no—
2156C22⋊C4—794no—
2157C22⋊C4—794no—
2158C22⋊C4—794no—
2159C22⋊C4—792no—
2160C22⋊C4—792no—
2161C22⋊C4—794no—
2162C22⋊C4—792no—
2163C22⋊C4—794no—
2164C22⋊C4—792no—
2165C22⋊C4—794no—
2166C22⋊C4—792no—
2167C22⋊C4—794no—
2168C22⋊C4—794no—
2169C22⋊C4—794no—
2170C22⋊C4—794no—
2171C22⋊C4—794no—
2172C22⋊C4—794no—
2173C22⋊C4—792no—
2174C22⋊C4—792no—
2175C22⋊C4—794no—
2176C22⋊C4—794no—
2177C22⋊C4—794no—
2178C22⋊C4—792no—
2179C22⋊C4—794no—
2180C22⋊C4—792no—
2181C22⋊C4—794no—
2182C22⋊C4—794no—
2183C22⋊C4—794no—
2184C22⋊C4—794no—
2185C22⋊C4—792no—
2186C22⋊C4—794no—
2187C22⋊C4—794no—
2188C22⋊C4—794no—
2189C22⋊C4—794no—
2190C22⋊C4—794no—
2191C22⋊C4—794no—
2192C22⋊C4—794no—
2193C22⋊C4—794no—
2194C22⋊C4C23×D7912yes—
2195C22⋊C4C23×D7914yes—
2196C22⋊C4C23×D7912yes—
2197C22⋊C4C23×D7912yes—
2198C22⋊C4C23×D7912yes—
2199C22⋊C4C23×D7912yes—
2200C22⋊C4C23×D7914yes—
2201C22⋊C4C23×D7914yes—
2202C22⋊C4C23×D7914yes—
2203C22⋊C4C23×D7914yes—
2204C22⋊C4C23×D7914yes—
2205C22⋊C4C23×D7914yes—
2206C42—791no—
2207C42—791no—
2208C42—791no—
2209C42—791no—
2210C42—791no—
2211C42—791no—
2212C42—791no—
2213C42—791no—
2214C42—791no—
2215C42—791no—
2216C42—791no—
2217C42—791no—
2218C42—794no—
2219C42—792no—
2220C42—792no—
2221C42—794no—
2222C42—792no—
2223C42—794no—
2224C42—794no—
2225C42—794no—
2226C42C23×D7911yescharacteristic
2227C42C23×D7911yescharacteristic
2228C42C23×D7911yescharacteristic
2229C42C23×D7911yescharacteristic
2230C42C23×D7912yes—
2231C42C23×D7914yes—
2232C23—3161no—
2233C23—3161no—
2234C23—3162no—
2235C23—3162no—
2236C23—3162no—
2237C23—3164no—
2238C23—3162no—
2239C23—3164no—
2240C23—3164no—
2241C23—3164no—
2242C23—3164no—
2243C23—3164no—
2244C23—3164no—
2245C23—3164no—
2246C23—794no—
2247C23—791no—
2248C23—791no—
2249C23—794no—
2250C23—792no—
2251C23—794no—
2252C23—1588no—
2253C23—1584no—
2254C23—1584no—
2255C23C24×D7912yes—
2256C23C24×D7914yes—
2257C23C24×D7911yescharacteristic
2258Q8—41no—
2259Q8—42no—
2260Q8—44no—
2261Q8—3162no—
2262Q8—3164no—
2263Q8—3161no—
2264Q8—3162no—
2265Q8—3164no—
2266Q8—1584no—
2267Q8—1584no—
2268D4—24no—
2269D4—28no—
2270D4—24no—
2271D4—44no—
2272D4—44no—
2273D4—42no—
2274D4—41no—
2275D4—42no—
2276D4—3164no—
2277D4—3164no—
2278D4—3164no—
2279D4—3162no—
2280D4—3164no—
2281D4—3162no—
2282D4—3161no—
2283D4—3164no—
2284D4—3162no—
2285D4—3164no—
2286D4—3164no—
2287D4—3164no—
2288D4—3164no—
2289D4—3164no—
2290D4—3164no—
2291D4—3164no—
2292D4—3164no—
2293D4—3164no—
2294D4—1588no—
2295D4—1588no—
2296D4—1584no—
2297D4—1588no—
2298D4—1584no—
2299D4—1588no—
2300D4—1584no—
2301D4—1588no—
2302D4—1584no—
2303D4—1588no—
2304D4—1584no—
2305D4—1584no—
2306C2×C4—22no—
2307C2×C4—24no—
2308C2×C4—22no—
2309C2×C4—24no—
2310C2×C4—42no—
2311C2×C4—41no—
2312C2×C4—44no—
2313C2×C4—44no—
2314C2×C4—44no—
2315C2×C4—44no—
2316C2×C4—3164no—
2317C2×C4—3164no—
2318C2×C4—3164no—
2319C2×C4—3161no—
2320C2×C4—3161no—
2321C2×C4—3162no—
2322C2×C4—3162no—
2323C2×C4—3161no—
2324C2×C4—3161no—
2325C2×C4—3164no—
2326C2×C4—3164no—
2327C2×C4—3164no—
2328C2×C4—3164no—
2329C2×C4—3162no—
2330C2×C4—3164no—
2331C2×C4—3164no—
2332C2×C4—3164no—
2333C2×C4—3162no—
2334C2×C4—3161no—
2335C2×C4—3162no—
2336C2×C4—3164no—
2337C2×C4—791no—
2338C2×C4—791no—
2339C2×C4—791no—
2340C2×C4—792no—
2341C2×C4—794no—
2342C2×C4—791no—
2343C2×C4—791no—
2344C2×C4—791no—
2345C2×C4—792no—
2346C2×C4—794no—
2347C2×C4—792no—
2348C2×C4—1582no—
2349C2×C4—1582no—
2350C2×C4—1588no—
2351C2×C4—1582no—
2352C2×C4—1588no—
2353C2×C4—1582no—
2354C2×C4—1582no—
2355C2×C4—1582no—
2356C2×C4—1584no—
2357C2×C4—1582no—
2358C2×C4—1582no—
2359C2×C4—1582no—
2360C2×C4—1582no—
2361C2×C4—1584no—
2362C2×C4C24×D7912yes—
2363C2×C4C24×D7911yescharacteristic
2364C2×C4C24×D7911yescharacteristic
2365C2×C4C24×D7911yescharacteristic
2366C2×C4C24×D7911yescharacteristic
2367C2×C4C24×D7911yescharacteristic
2368C2×C4C24×D7914yes—
2369C2×C4C24×D7914yes—
2370C2×C4C24×D7914yes—
2371C2×C4C24×D7912yes—
2372C2×C4C24×D7912yes—
2373C2×C4C24×D7911yescharacteristic
2374C22—21no—
2375C22—21no—
2376C22—24no—
2377C22—22no—
2378C22—24no—
2379C22—22no—
2380C22—22no—
2381C22—24no—
2382C22—3164no—
2383C22—792no—
2384C22—792no—
2385C22—6324no—
2386C22—6324no—
2387C22—6328no—
2388C22—1584no—
2389C22—1582no—
2390C22—1584no—
2391C22—1584no—
2392C22—1584no—
2393C22—1582no—
2394C22—1582no—
2395C22—1584no—
2396C22—1584no—
2397C22—1581no—
2398C22—1581no—
2399C22—1581no—
2400C22—1581no—
2401C22—12644no—
2402C22—12644no—
2403C22H(5,𝔽2)×D7912yes—
2404C22C25×D7911yescharacteristic
2405C4—21no—
2406C4—24no—
2407C4—21no—
2408C4—22no—
2409C4—24no—
2410C4—24no—
2411C4—22no—
2412C4—21no—
2413C4—21no—
2414C4—22no—
2415C4—21no—
2416C4—792no—
2417C4—1581no—
2418C4—1582no—
2419C4—1584no—
2420C4—1581no—
2421C4—1581no—
2422C4—1582no—
2423C4—1581no—
2424C4—1582no—
2425C4—1584no—
2426C4—1581no—
2427C4#1909940012yes—
2428C2—22no—
2429C2—42no—
2430C2—44no—
2431C2—3164no—
2432C2—3162no—
2433C2—3164no—
2434C2—1582no—
2435C2—1582no—
2436C2C2×H(5,𝔽2)×D7911yescharacteristic
2437C2#585×D7911yescharacteristic
2438C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3559C2
hypercenter#3559D79
hypocenterC79#62822
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3559

Complements

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

NH ≅ G/Ntype
1. #23777957C2semidirect
2. #23777953C2semidirect
3. #23777949C2semidirect
4. #23777937C2semidirect
5. #23777934C2semidirect
6. #23777923C2semidirect
7. #23777922C2semidirect
8. #23777916C2semidirect
9. #23777758C2semidirect
10. #23777750C2semidirect
11. #23777743C2semidirect
12. #23777729C2semidirect
13. #23777484C2semidirect
14. #23777478C2semidirect
15. #23777428C2semidirect
16. #23777425C2semidirect
17. #23777347C2semidirect
18. #23777343C2semidirect
19. #23777330C2semidirect
20. #23777232C2semidirect
21. #23777229C2semidirect
22. #23777163C2semidirect
23. #23777158C2semidirect
24. #23777138C2semidirect
25. #23777127C2semidirect
26. #23777124C2semidirect
27. #23777039C2semidirect
28. #532×D79C2semidirect
29. C2×#19099098C2semidirect
30. #529×D79C2semidirect
31. C79×#3559C2semidirect
32. C2×#14579207C22semidirect
33. C2×#41×D79C22semidirect
34. #19099317C22semidirect
35. #19099317C22semidirect
36. #19099314C22semidirect
37. #19099311C22semidirect
38. #19099311C22semidirect
39. #19099307C22semidirect
40. #19099305C22semidirect
41. #19099305C22semidirect
42. #19099303C22semidirect
43. #19099301C22semidirect
44. #19099298C22semidirect
45. #19099297C22semidirect
46. #19099296C22semidirect
47. #19099296C22semidirect
48. #19099293C22semidirect
49. #19099279C22semidirect
50. #19099277C22semidirect
51. #19099276C22semidirect
52. #19099269C22semidirect
53. #19099269C22semidirect
54. #19099268C22semidirect
55. #19099267C22semidirect
56. #19099266C22semidirect
57. #19099266C22semidirect
58. #19099266C22semidirect
59. #19099265C22semidirect
60. #19099264C22semidirect
61. #19099264C22semidirect
62. #19099263C22semidirect
63. #19099261C22semidirect
64. #19099261C22semidirect
65. #19099259C22semidirect
66. #19099258C22semidirect
67. #19099256C22semidirect
68. #19099252C22semidirect
69. #19099251C22semidirect
70. #19099245C22semidirect
71. #19099241C22semidirect
72. #19099241C22semidirect
73. #19099240C22semidirect
74. #19099240C22semidirect
75. #19099240C22semidirect
76. #19099240C22semidirect
77. #19099238C22semidirect
78. #19099238C22semidirect
79. #19099236C22semidirect
80. #19099236C22semidirect
81. #19099234C22semidirect
82. #19099231C22semidirect
83. #19099223C22semidirect
84. #19099222C22semidirect
85. #19099219C22semidirect
86. #19099216C22semidirect
87. #19099216C22semidirect
88. #19099215C22semidirect
89. #19099215C22semidirect
90. #19099215C22semidirect
91. #19099214C22semidirect
92. #19099214C22semidirect
93. #19099214C22semidirect
94. #19099214C22semidirect
95. #19099212C22semidirect
96. #19099211C22semidirect
97. #19099211C22semidirect
98. #19099210C22semidirect
99. #19099210C22semidirect
100. #19099210C22semidirect
101. #19099209C22semidirect
102. #19099209C22semidirect
103. #19099208C22semidirect
104. #19099208C22semidirect
105. #19099208C22semidirect
106. #19099205C22semidirect
107. #19099205C22semidirect
108. #19099205C22semidirect
109. #19099205C22semidirect
110. #19099205C22semidirect
111. #19099205C22semidirect
112. #19099204C22semidirect
113. #19099204C22semidirect
114. #19099204C22semidirect
115. #19099204C22semidirect
116. #19099202C22semidirect
117. #19099202C22semidirect
118. #19099201C22semidirect
119. #19099201C22semidirect
120. D4×D316C22semidirect
121. D4×D316C22semidirect
122. #19099197C22semidirect
123. #19099197C22semidirect
124. #19099197C22semidirect
125. #19099197C22semidirect
126. #19099197C22semidirect
127. #19099193C22semidirect
128. #19099190C22semidirect
129. #19099187C22semidirect
130. #19099187C22semidirect
131. #19099186C22semidirect
132. #19099184C22semidirect
133. #19099183C22semidirect
134. #19099183C22semidirect
135. #19099183C22semidirect
136. #19099183C22semidirect
137. #19099181C22semidirect
138. #19099180C22semidirect
139. #19099169C22semidirect
140. #19099169C22semidirect
141. #19099166C22semidirect
142. #19099165C22semidirect
143. #19099165C22semidirect
144. #19099162C22semidirect
145. #19099161C22semidirect
146. #19099160C22semidirect
147. #19099154C22semidirect
148. #19099154C22semidirect
149. #19099153C22semidirect
150. #19099153C22semidirect
151. #19099152C22semidirect
152. #19099152C22semidirect
153. #19099152C22semidirect
154. #19099150C22semidirect
155. #19099150C22semidirect
156. #19099149C22semidirect
157. #19099149C22semidirect
158. #19099146C22semidirect
159. #19099145C22semidirect
160. #19099144C22semidirect
161. #19099143C22semidirect
162. #19099138C22semidirect
163. #19099136C22semidirect
164. #19099132C22semidirect
165. #19099129C22semidirect
166. #19099126C22semidirect
167. #19099124C22semidirect
168. #19099124C22semidirect
169. #19099124C22semidirect
170. #19099121C22semidirect
171. #19099121C22semidirect
172. #19099121C22semidirect
173. #19099121C22semidirect
174. #19099114C22semidirect
175. #19099114C22semidirect
176. #19099113C22semidirect
177. #19099112C22semidirect
178. #19099111C22semidirect
179. #19099110C22semidirect
180. #19099110C22semidirect
181. #19099110C22semidirect
182. #19099109C22semidirect
183. #19099109C22semidirect
184. #19099108C22semidirect
185. #19099108C22semidirect
186. C4⋊Q8×D79C22semidirect
187. #127×D79C22semidirect
188. #19099100C22semidirect
189. #19099099C22semidirect
190. #19099098C22semidirect
191. #19099098C22semidirect
192. #19099098C22semidirect
193. #19099098C22semidirect
194. #19099098C22semidirect
195. #19099098C22semidirect
196. #19099098C22semidirect
197. #19099098C22semidirect
198. #19099098C22semidirect
199. #19099098C22semidirect
200. #19099097C22semidirect
201. #19099096C22semidirect
202. #19099095C22semidirect
203. #19099095C22semidirect
204. #19099094C22semidirect
205. #19099093C22semidirect
206. #19099092C22semidirect
207. #19099091C22semidirect
208. #19099090C22semidirect
209. #19099090C22semidirect
210. C2×#14579156C22semidirect
211. #126×D79C22semidirect
212. #125×D79C22semidirect
213. C2×#14579149C22semidirect
214. #124×D79C22semidirect
215. #124×D79C22semidirect
216. #19099076C22semidirect
217. #19099075C22semidirect
218. #19099073C22semidirect
219. #19099072C22semidirect
220. #19099072C22semidirect
221. C2×#14579146C22semidirect
222. C2×#14579146C22semidirect
223. #123×D79C22semidirect
224. #123×D79C22semidirect
225. C2×#14579141C22semidirect
226. C22⋊Q8×D79C22semidirect
228. C2×#14579136C22semidirect
230. #121×D79C22semidirect
231. #121×D79C22semidirect
232. #121×D79C22semidirect
233. #121×D79C22semidirect
234. #19099044C22semidirect
235. #19099044C22semidirect
236. #19099042C22semidirect
237. #19099037C22semidirect
238. #19099035C22semidirect
239. #19099035C22semidirect
240. #19099035C22semidirect
241. C2×#14579126C22semidirect
242. C4×Q8×D79C22semidirect
243. C2×#14579123C22semidirect
244. C2×#14579123C22semidirect
245. C4×D4×D79C22semidirect
246. C4×D4×D79C22semidirect
247. C4×D4×D79C22semidirect
248. C4×D4×D79C22semidirect
249. C2×#14579119C22semidirect
250. #117×D79C22semidirect
251. C2×C42×D79C22semidirect
252. #563×C79C22semidirect
253. #562×C79C22semidirect
254. #554×C79C22semidirect
255. #553×C79C22semidirect
256. #553×C79C22semidirect
257. #547×C79C22semidirect
258. #547×C79C22semidirect
259. #544×C79C22semidirect
260. #540×C79C22semidirect
261. #539×C79C22semidirect
262. #539×C79C22semidirect
263. #537×C79C22semidirect
264. #532×C79C22semidirect
265. #529×C79C22semidirect
266. C2×#125×C79C22semidirect
1225. #3559D79semidirect
1251. C79#62822semidirect
1257. #563C2×D79semidirect
1261. #562C2×D79semidirect
1278. #554C2×D79semidirect
1291. #553C2×D79semidirect
1292. #553C2×D79semidirect
1323. #547C2×D79semidirect
1324. #547C2×D79semidirect
1356. #544C2×D79semidirect
1372. #540C2×D79semidirect
1378. #539C2×D79semidirect
1379. #539C2×D79semidirect
1393. #537C2×D79semidirect
1418. #532C2×D79semidirect
1443. #529C2×D79semidirect
1447. C2×#125C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779572
#237779532
#237779492
#237779372
#237779342
#237779232
#237779222
#237779162
#237777582
#237777502
#237777432
#237777292
#237774842
#237774782
#237774282
#237774252
#237773472
#237773432
#237773302
#237772322
#237772292
#237771632
#237771582
#237771382
#237771272
#237771242
#237770392
#532×D792
C2×#190990982
#529×D792
C79×#35592
#6282279