Finite Group Databasebeta

← #35197433

Subgroups — #35197433

Order 20224.

7082 conjugacy classes of subgroups.

The subgroup lattice has 2628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777500C212yesmaximal, complemented
2#23777478C212yesmaximal, complemented
3#23777473C212yesmaximal, complemented
4#23777459C214yesmaximal, complemented
5#23777445C212yesmaximal, complemented
6#23777442C214yesmaximal, complemented
7#23777410C212yesmaximal, complemented
8#23777390C212yesmaximal, complemented
9#23777357C212yesmaximal, complemented
10#23777354C214yesmaximal, complemented
11#23777335C212yesmaximal, complemented
12#23777331C214yesmaximal, complemented
13#23777305C212yesmaximal, complemented
14#23777296C211yesmaximal, characteristic, complemented
15#23777292C212yesmaximal, complemented
16#23777216C211yesmaximal, characteristic, complemented
17#23777187C211yesmaximal, characteristic, complemented
18#23777153C211yesmaximal, characteristic, complemented
19#23777147C212yesmaximal, complemented
20#23777136C211yesmaximal, characteristic, complemented
21#23777130C212yesmaximal, complemented
22#23777075C211yesmaximal, characteristic, complemented
23#23777064C211yesmaximal, characteristic, complemented
24#23776831C212yesmaximal, complemented
25#23776828C211yesmaximal, characteristic, complemented
26#23776817C211yesmaximal, characteristic, complemented
27#23776814C212yesmaximal, complemented
28#23776789C211yesmaximal, characteristic, complemented
29#23776787C212yesmaximal, complemented
30C2×#19099187C211yesmaximal, characteristic, complemented
31#542×D79C212yesmaximal, complemented
32#23776611C211yesmaximal, characteristic, complemented
33#23776606C211yesmaximal, characteristic, complemented
34#23776599C211yesmaximal, characteristic, complemented
35C79×#3511C211yesmaximal, characteristic, complemented
36C2×#14579208C2211yescharacteristic
37C2×#14579207C2211yescharacteristic
38C2×#41×D79C2211yescharacteristic
39#19099297C2214yescomplemented
40#19099296C2212yescomplemented
41#19099296C2212yescomplemented
42#19099295C2214yescomplemented
43#19099293C2212yescomplemented
44#19099288C2212yescomplemented
45#19099285C2212yescomplemented
46#19099285C2212yescomplemented
47#19099285C2214yescomplemented
48#19099284C2214yescomplemented
49#19099281C2212yescomplemented
50#19099280C2214yescomplemented
51#19099280C2214yescomplemented
52#19099276C2212yescomplemented
53#19099275C2214yescomplemented
54#19099275C2214yescomplemented
55#19099274C2212yescomplemented
56#19099268C2214yescomplemented
57#19099268C2212yescomplemented
58#19099267C2214yescomplemented
59#19099267C2214yescomplemented
60#19099264C2214yescomplemented
61#19099262C2214yescomplemented
62#19099261C2212yescomplemented
63#19099258C2214yescomplemented
64#19099257C2212yescomplemented
65#19099256C2214yescomplemented
66#19099254C2214yescomplemented
67#19099253C2214yescomplemented
68#19099252C2212yescomplemented
69#19099248C2212yescomplemented
70#19099246C2214yescomplemented
71#19099245C2214yescomplemented
72#19099245C2214yescomplemented
73#19099243C2214yescomplemented
74#19099243C2214yescomplemented
75#19099242C2214yescomplemented
76#19099242C2214yescomplemented
77#19099242C2214yescomplemented
78#19099242C2214yescomplemented
79#19099242C2214yescomplemented
80#19099240C2214yescomplemented
81#19099240C2214yescomplemented
82#19099238C2214yescomplemented
83#19099237C2214yescomplemented
84#19099236C2214yescomplemented
85#19099231C2212yes—
86#19099228C2212yescomplemented
87Q8×C22⋊D79C2214yescomplemented
88#19099226C2212yescomplemented
89#19099223C2212yes—
90#19099223C2214yescomplemented
91#19099222C2212yescomplemented
92#19099222C2212yescomplemented
93#19099221C2214yescomplemented
94#19099219C2212yescomplemented
95#19099215C2212yescomplemented
96#19099214C2212yescomplemented
97#19099213C2214yescomplemented
98#19099212C2214yescomplemented
99#19099211C2214yescomplemented
100#19099210C2212yescomplemented
101#19099209C2214yescomplemented
102#19099209C2212yescomplemented
103#19099209C2212yescomplemented
104#19099204C2212yes—
105#19099202C2214yes—
106#19099202C2214yescomplemented
107#19099202C2214yescomplemented
108#19099202C2214yescomplemented
109#19099202C2214yescomplemented
110#19099201C2214yescomplemented
111#19099197C2214yes—
112#19099197C2212yes—
113#19099194C2211yescharacteristic, complemented
114#19099194C2211yescharacteristic, complemented
115#19099190C2212yescomplemented
116#19099190C2212yescomplemented
117#19099187C2212yescomplemented
118#19099187C2212yescomplemented
119#19099187C2212yescomplemented
120#19099187C2212yescomplemented
121#19099187C2212yescomplemented
122#19099187C2212yescomplemented
123#19099187C2212yescomplemented
124#19099187C2212yescomplemented
125#19099186C2212yescomplemented
126#19099186C2212yescomplemented
127#19099185C2212yescomplemented
128#19099184C2212yescomplemented
129#19099184C2212yescomplemented
130#19099183C2214yescomplemented
131#19099183C2214yescomplemented
132#19099182C2211yescharacteristic, complemented
133#19099182C2211yescharacteristic, complemented
134#19099182C2211yescharacteristic, complemented
135#19099182C2211yescharacteristic, complemented
136#19099181C2214yescomplemented
137#19099180C2212yescomplemented
138#19099180C2212yescomplemented
139#19099179C2214yescomplemented
140#19099178C2212yescomplemented
141#19099177C2214yescomplemented
142#19099177C2214yescomplemented
143#19099174C2211yescharacteristic, complemented
144#19099174C2211yescharacteristic, complemented
145#19099173C2212yescomplemented
146#19099173C2212yescomplemented
147#19099172C2214yescomplemented
148#19099171C2212yescomplemented
149#19099167C2211yescharacteristic, complemented
150#19099167C2211yescharacteristic, complemented
151#19099166C2212yescomplemented
152#19099166C2212yescomplemented
153#19099164C2212yescomplemented
154#19099163C2214yescomplemented
155#19099161C2214yescomplemented
156#19099159C2214yescomplemented
157#19099159C2214yescomplemented
158#19099158C2212yescomplemented
159#19099158C2212yescomplemented
160#19099158C2214yescomplemented
161#19099154C2214yescomplemented
162#19099150C2212yescomplemented
163#19099150C2212yescomplemented
164#19099150C2214yescomplemented
165#19099149C2214yescomplemented
166#19099147C2214yescomplemented
167#19099147C2214yescomplemented
168#19099145C2214yescomplemented
169#19099143C2212yes—
170#19099142C2212yescomplemented
171#19099138C2212yescomplemented
172#19099136C2212yescomplemented
173#19099134C2211yescharacteristic, complemented
174#19099134C2211yescharacteristic, complemented
175#19099129C2212yes—
176#19099127C2211yescharacteristic
177#19099127C2211yescharacteristic, complemented
178#19099126C2212yescomplemented
179#19099120C2211yescharacteristic, complemented
180#19099118C2212yescomplemented
181#19099117C2212yescomplemented
182#19099117C2214yescomplemented
183#19099115C2212yescomplemented
184#19099115C2212yescomplemented
185#19099112C2212yescomplemented
186#19099110C2212yescomplemented
187#19099109C2214yescomplemented
188#19099108C2212yescomplemented
189#19099108C2212yescomplemented
190C4⋊Q8×D79C2212yescomplemented
191#19099100C2212yescomplemented
192#19099100C2214yescomplemented
193#19099099C2212yescomplemented
194#19099099C2214yescomplemented
195#19099099C2212yescomplemented
196#19099097C2212yescomplemented
197#19099097C2212yescomplemented
198#19099096C2214yescomplemented
199#19099095C2212yescomplemented
200#19099094C2212yescomplemented
201#19099094C2212yescomplemented
202#19099094C2214yescomplemented
203#19099093C2212yescomplemented
204#19099093C2212yescomplemented
205#19099093C2212yescomplemented
206#19099093C2212yescomplemented
207#19099093C2214yescomplemented
208#19099092C2214yescomplemented
209#19099091C2214yescomplemented
210#19099091C2214yescomplemented
211#19099090C2214yescomplemented
212C2×#14579156C2212yescomplemented
213#126×D79C2214yescomplemented
214C2×#14579150C2212yescomplemented
215C2×#14579149C2211yescharacteristic, complemented
216#124×D79C2212yescomplemented
217#124×D79C2214yescomplemented
218#19099076C2212yes—
219#19099073C2212yescomplemented
220#19099073C2214yescomplemented
221#19099072C2214yescomplemented
222#19099070C2211yescharacteristic
223#19099070C2211yescharacteristic, complemented
224#19099070C2214yescomplemented
225C2×#14579146C2212yescomplemented
226#123×D79C2214yescomplemented
227C2×#14579141C2211yescharacteristic, complemented
228C2×#14579137C2212yescomplemented
229C22⋊Q8×D79C2212yescomplemented
230C22⋊Q8×D79C2214yescomplemented
231C2×#14579136C2211yescharacteristic
232#121×D79C2212yes—
233#19099045C2212yescomplemented
234#19099045C2211yescharacteristic, complemented
235#19099045C2211yescharacteristic, complemented
236#19099044C2211yescharacteristic
237#19099044C2211yescharacteristic
238#19099044C2212yescomplemented
239#19099044C2212yescomplemented
240#19099042C2212yescomplemented
241#19099042C2214yescomplemented
242#19099042C2212yescomplemented
243#19099042C2212yescomplemented
244#19099042C2211yescharacteristic, complemented
245#19099042C2211yescharacteristic, complemented
246#19099040C2211yescharacteristic, complemented
247#19099040C2212yescomplemented
248#19099039C2212yescomplemented
249#19099039C2211yescharacteristic, complemented
250#19099039C2211yescharacteristic, complemented
251#19099037C2211yescharacteristic, complemented
252#19099037C2212yescomplemented
253#19099035C2212yescomplemented
254#19099035C2212yescomplemented
255#19099035C2211yescharacteristic, complemented
256#19099035C2212yescomplemented
257#19099035C2214yescomplemented
258#19099035C2211yescharacteristic, complemented
259#41×Dic79C2211yescharacteristic, complemented
260#41×Dic79C2211yescharacteristic, complemented
261#41×Dic79C2211yescharacteristic, complemented
262C4×#11929625C2212yescomplemented
263C4×#11929624C2211yescharacteristic
264C4×#11929624C2212yescomplemented
265#19099031C2211yescharacteristic
266#19099031C2212yescomplemented
267#19099031C2212yescomplemented
268#19099031C2212yescomplemented
269C4×#11929623C2212yescomplemented
270C4×#11929623C2214yescomplemented
271C2×#14579126C2211yescharacteristic, complemented
272C2×#14579126C2212yescomplemented
273C4×Q8×D79C2212yescomplemented
274C2×#14579123C2211yescharacteristic, complemented
275C2×#14579123C2212yescomplemented
276C4×D4×D79C2212yescomplemented
277C4×D4×D79C2214yescomplemented
278C2×#14579118C2211yescharacteristic, complemented
279C2×#14579118C2212yescomplemented
280#117×D79C2212yescomplemented
281#117×D79C2211yescharacteristic, complemented
282#556×C79C2212yescomplemented
283#555×C79C2212yescomplemented
284#554×C79C2212yescomplemented
285#553×C79C2214yescomplemented
286#548×C79C2214yescomplemented
287#547×C79C2212yescomplemented
288#542×C79C2212yescomplemented
289#542×C79C2212yescomplemented
290#537×C79C2211yescharacteristic
291#537×C79C2211yescharacteristic, complemented
292#533×C79C2212yescomplemented
293#532×C79C2211yescharacteristic, complemented
294#532×C79C2212yescomplemented
295C2×C4⋊Q8×C79C2211yescharacteristic, complemented
296#520×C79C2211yescharacteristic, complemented
297#520×C79C2211yescharacteristic, complemented
298C4×#41×C79C2211yescharacteristic, complemented
299#14579208—28no—
300#14579207—28no—
301C2×#11929625C2312yes—
302C2×#11929625C2311yescharacteristic
303C2×#11929624C2312yes—
304C2×#11929624C2312yes—
305C2×#11929624C2312yes—
306C2×#11929624C2314yes—
307C2×#11929624C2311yescharacteristic
308C2×#11929623C2312yes—
309C2×#11929623C2314yes—
310C2×#11929623C2312yes—
311C2×#11929623C2311yescharacteristic
312C2×#11929623C2314yes—
313#41×D79—28no—
314C22×Dic158C2312yes—
315C22×Dic158C2311yescharacteristic
316C2×Q8×D79C2312yes—
317C2×Q8×D79C2311yescharacteristic
318C2×Q8×D79C2314yes—
319C22×D316C2312yes—
320C22×D316C2311yescharacteristic
321C22×D316C2312yes—
322C2×D4×D79C2314yes—
323C2×D4×D79C2312yes—
324C2×D4×D79C2312yes—
325C2×D4×D79C2311yescharacteristic
326C2×D4×D79C2314yes—
327C22×C4×D79C2312yes—
328C22×C4×D79C2311yescharacteristic
329C22×C4×D79C2314yes—
330C22×C4×D79C2312yes—
331#14579161C2311yescharacteristic
332#14579161C2311yescharacteristic
333#14579160C2314yes—
334#14579160C2312yes—
335#14579160C2314yes—
336#14579160C2312yes—
337#14579160C2312yes—
338#14579160C2312yes—
339#14579159C2312yes—
340#14579159C2312yes—
341#14579159C2314yes—
342#14579159C2314yes—
343#14579159C2314yes—
344#14579157C2314yes—
345#14579157C2312yes—
346#14579157C2312yes—
347#14579156C2314yes—
348#14579156C2314yes—
349#14579156C2312yes—
350#14579156C2314yes—
351#14579156C2312yes—
352#14579156C2312yes—
353#14579156C2312yes—
354#14579156C2314yes—
355#14579156C2314yes—
356#14579156C2314yes—
357#14579156C2314yes—
358#14579156C2314yes—
359#14579156C2314yes—
360#14579156C2314yes—
361#14579155C2314yes—
362#14579155C2314yes—
363#14579155C2314yes—
364#14579155C2314yes—
365#14579154C2314yes—
366#14579154C2314yes—
367#14579154C2314yes—
368#14579154C2314yes—
369#14579154C2312yes—
370#14579154C2314yes—
371#14579154C2312yes—
372#14579154C2312yes—
373#14579154C2312yes—
374#14579154C2314yes—
375#14579153C2314yes—
376#14579153C2311yescharacteristic
377#14579153C2311yescharacteristic
378#14579152C2314yes—
379#14579152C2312yes—
380#14579152C2312yes—
381#14579152C2312yes—
382#14579152C2312yes—
383#14579151C2312yes—
384#14579151C2314yes—
385#14579151C2312yes—
386#14579151C2314yes—
387#14579151C2312yes—
388#14579151C2312yes—
389#14579151C2314yes—
390#14579151C2314yes—
391#14579151C2314yes—
392#14579151C2314yes—
393#14579150C2312yes—
394#14579150C2314yes—
395#14579150C2314yes—
396#14579150C2312yes—
397#14579150C2314yes—
398#14579150C2314yes—
399#14579149C2312yes—
400#14579149C2314yes—
401#14579149C2312yes—
402#14579149C2312yes—
403#14579149C2312yes—
404#14579148C2314yes—
405#14579148C2312yes—
406#14579148C2312yes—
407#14579147C2314yes—
408#14579147C2314yes—
409#14579147C2312yes—
410#14579147C2314yes—
411#14579147C2314yes—
412#14579147C2312yes—
413#14579147C2312yes—
414#14579147C2312yes—
415#14579147C2314yes—
416#14579147C2314yes—
417#14579147C2314yes—
418#14579147C2314yes—
419#14579147C2314yes—
420#14579147C2314yes—
421#14579146C2314yes—
422#14579146C2314yes—
423#14579146C2314yes—
424#14579146C2314yes—
425#14579146C2314yes—
426#14579146C2314yes—
427#14579146C2314yes—
428#14579146C2314yes—
429#14579146C2314yes—
430#14579146C2314yes—
431#14579145C2312yes—
432#14579145C2314yes—
433#14579145C2314yes—
434#14579145C2312yes—
435#14579145C2312yes—
436#14579145C2312yes—
437#14579144C2314yes—
438#14579144C2314yes—
439#14579144C2314yes—
440#14579144C2314yes—
441#14579143C2314yes—
442#14579143C2314yes—
443#14579143C2314yes—
444#14579143C2314yes—
445#14579143C2314yes—
446#14579143C2314yes—
447#14579143C2314yes—
448#14579143C2314yes—
449#14579142C2312yes—
450#14579142C2312yes—
451#14579142C2312yes—
452#14579142C2314yes—
453#14579142C2312yes—
454#14579142C2312yes—
455#14579142C2312yes—
456#14579142C2314yes—
457#14579142C2314yes—
458#14579142C2314yes—
459#14579141C2312yes—
460#14579141C2314yes—
461#14579141C2314yes—
462#14579141C2312yes—
463#14579141C2312yes—
464#14579141C2312yes—
465#14579140C2312yes—
466#14579140C2312yes—
467#14579140C2312yes—
468#14579140C2312yes—
469#14579140C2314yes—
470#14579140C2314yes—
471#14579140C2312yes—
472#14579140C2314yes—
473#14579140C2312yes—
474#14579139C2314yes—
475#14579139C2314yes—
476#14579139C2314yes—
477#14579139C2314yes—
478#14579139C2314yes—
479#14579139C2314yes—
480#14579139C2314yes—
481#14579139C2314yes—
482#14579139C2314yes—
483#14579139C2314yes—
484#14579138C2314yes—
485#14579138C2312yes—
486#14579138C2312yes—
487#14579138C2314yes—
488#14579138C2314yes—
489#14579138C2312yes—
490#14579138C2312yes—
491#14579138C2314yes—
492#14579137C2311yescharacteristic
493#14579137C2311yescharacteristic
494#14579137C2314yes—
495#14579137C2314yes—
496#14579137C2314yes—
497#14579137C2314yes—
498#14579137C2314yes—
499#14579137C2311yescharacteristic
500#14579137C2311yescharacteristic
501#14579137C2314yes—
502#14579137C2314yes—
503#14579136C2314yes—
504#14579136C2312yes—
505#14579136C2312yes—
506#14579136C2312yes—
507#14579136C2312yes—
508#14579135C2312yes—
509#14579135C2314yes—
510#14579135C2312yes—
511#14579135C2312yes—
512#14579135C2312yes—
513#14579134C2314yes—
514#14579134C2314yes—
515#14579134C2314yes—
516#14579134C2314yes—
517#14579134C2314yes—
518#14579134C2314yes—
519#14579134C2314yes—
520#14579134C2314yes—
521#14579133C2314yes—
522#14579133C2314yes—
523#14579133C2312yes—
524#14579133C2312yes—
525#14579133C2314yes—
526#14579133C2312yes—
527#14579133C2312yes—
528#14579133C2314yes—
529#14579133C2314yes—
530#14579133C2314yes—
531#14579132C2311yescharacteristic
532#14579132C2314yes—
533#14579132C2314yes—
534#14579132C2311yescharacteristic
535#14579132C2311yescharacteristic
536#14579132C2311yescharacteristic
537#14579131C2314yes—
538#14579131C2314yes—
539#14579129C2314yes—
540#14579129C2314yes—
541#14579129C2314yes—
542#14579129C2314yes—
543#14579129C2312yes—
544#14579129C2312yes—
545#14579129C2314yes—
546#14579129C2314yes—
547Q8×Dic79C2311yescharacteristic
548Q8×Dic79C2311yescharacteristic
549Q8×Dic79C2311yescharacteristic
550Q8×Dic79C2311yescharacteristic
551Q8×Dic79C2311yescharacteristic
552Q8×Dic79C2311yescharacteristic
553Q8×Dic79C2314yes—
554C4×Dic158C2312yes—
555C4×Dic158C2312yes—
556C4×Dic158C2312yes—
557C4×Dic158C2314yes—
558C4×Dic158C2312yes—
559C4×Dic158C2314yes—
560C4×Dic158C2311yescharacteristic
561C4×Dic158C2311yescharacteristic
562C4×Dic158C2312yes—
563C4×Dic158C2314yes—
564C4×Dic158C2312yes—
565#14579126C2314yes—
566#14579126C2312yes—
567#14579126C2312yes—
568#14579126C2312yes—
569#14579126C2312yes—
570#14579126C2312yes—
571#14579126C2312yes—
572#14579126C2314yes—
573#14579126C2314yes—
574#14579126C2312yes—
575#14579126C2312yes—
576#14579126C2312yes—
577#14579126C2314yes—
578#14579126C2312yes—
579#14579126C2311yescharacteristic
580#14579126C2311yescharacteristic
581C4×D316C2312yes—
582C4×D316C2314yes—
583C4×D316C2312yes—
584C4×D316C2312yes—
585C4×D316C2312yes—
586C4×D316C2311yescharacteristic
587C4×D316C2311yescharacteristic
588C4×D316C2314yes—
589C4×D316C2314yes—
590D4×Dic79C2312yes—
591D4×Dic79C2312yes—
592D4×Dic79C2312yes—
593D4×Dic79C2312yes—
594D4×Dic79C2312yes—
595D4×Dic79C2312yes—
596D4×Dic79C2311yescharacteristic
597D4×Dic79C2311yescharacteristic
598D4×Dic79C2311yescharacteristic
599D4×Dic79C2311yescharacteristic
600D4×Dic79C2311yescharacteristic
601D4×Dic79C2311yescharacteristic
602D4×Dic79C2314yes—
603D4×Dic79C2314yes—
604#14579123C2314yes—
605#14579123C2312yes—
606#14579123C2312yes—
607#14579123C2312yes—
608#14579123C2312yes—
609#14579123C2312yes—
610#14579123C2314yes—
611#14579123C2312yes—
612#14579123C2312yes—
613#14579123C2312yes—
614#14579123C2314yes—
615#14579123C2312yes—
616#14579123C2312yes—
617#14579123C2311yescharacteristic
618#14579123C2311yescharacteristic
619C4×C22⋊D79C2312yes—
620C4×C22⋊D79C2314yes—
621C4×C22⋊D79C2312yes—
622C4×C22⋊D79C2312yes—
623C4×C22⋊D79C2314yes—
624C4×C22⋊D79C2312yes—
625C4×C22⋊D79C2314yes—
626C4×C22⋊D79C2312yes—
627C4×C22⋊D79C2314yes—
628C4×C22⋊D79C2312yes—
629C4×C22⋊D79C2312yes—
630C4×C22⋊D79C2314yes—
631C4×C22⋊D79C2314yes—
632C4×C22⋊D79C2312yes—
633C4×C22⋊D79C2312yes—
634C4×C22⋊D79C2314yes—
635C4×C22⋊D79C2312yes—
636C4×C22⋊D79C2314yes—
637C4×C22⋊D79C2314yes—
638C4×C22⋊D79C2314yes—
639(C22⋊D79)⋊C4C2314yes—
640(C22⋊D79)⋊C4C2314yes—
641(C22⋊D79)⋊C4C2314yes—
642(C22⋊D79)⋊C4C2314yes—
643(C22⋊D79)⋊C4C2314yes—
644(C22⋊D79)⋊C4C2314yes—
645(C22⋊D79)⋊C4C2314yes—
646(C22⋊D79)⋊C4C2312yes—
647(C22⋊D79)⋊C4C2312yes—
648(C22⋊D79)⋊C4C2312yes—
649(C22⋊D79)⋊C4C2314yes—
650(C22⋊D79)⋊C4C2314yes—
651(C22⋊D79)⋊C4C2314yes—
652(C22⋊D79)⋊C4C2312yes—
653(C22⋊D79)⋊C4C2312yes—
654(C22⋊D79)⋊C4C2312yes—
655#14579120C2312yes—
656#14579120C2312yes—
657#14579120C2312yes—
658#14579120C2311yescharacteristic
659#14579120C2311yescharacteristic
660#14579120C2311yescharacteristic
661#14579120C2314yes—
662#14579119C2312yes—
663#14579119C2314yes—
664#14579119C2312yes—
665#14579119C2312yes—
666#14579119C2312yes—
667#14579119C2314yes—
668#14579119C2314yes—
669#14579119C2311yescharacteristic
670#14579119C2311yescharacteristic
671#14579118C2312yes—
672#14579118C2312yes—
673#14579118C2311yescharacteristic
674#14579118C2311yescharacteristic
675#14579118C2311yescharacteristic
676#14579118C2311yescharacteristic
677#14579118C2311yescharacteristic
678#14579118C2311yescharacteristic
679#14579118C2311yescharacteristic
680#14579118C2311yescharacteristic
681#14579118C2314yes—
682#14579118C2312yes—
683#14579118C2314yes—
684#14579118C2314yes—
685#14579118C2314yes—
686#14579118C2314yes—
687#14579118C2312yes—
688#14579118C2312yes—
689#14579118C2314yes—
690#14579118C2312yes—
691#14579118C2312yes—
692#14579117C2314yes—
693#14579117C2312yes—
694#14579117C2312yes—
695#14579117C2314yes—
696#14579117C2314yes—
697#14579117C2314yes—
698#14579117C2312yes—
699#14579117C2314yes—
700C2×C4⋊Dic79C2312yes—
701C2×Dic79⋊C4C2311yescharacteristic
702C2×Dic79⋊C4C2311yescharacteristic
703C2×Dic79⋊C4C2312yes—
704C2×Dic79⋊C4C2314yes—
705C2×Dic79⋊C4C2312yes—
706C2×Dic79⋊C4C2312yes—
707C4⋊C4×D79C2312yes—
708C4⋊C4×D79C2312yes—
709C4⋊C4×D79C2312yes—
710C4⋊C4×D79C2312yes—
711C4⋊C4×D79C2314yes—
712C4⋊C4×D79C2314yes—
713C4⋊C4×D79C2314yes—
714C4⋊C4×D79C2311yescharacteristic
715C4⋊C4×D79C2311yescharacteristic
716C4⋊C4×D79C2314yes—
717C2×(C2×D79)⋊C4C2311yescharacteristic
718C2×(C2×D79)⋊C4C2311yescharacteristic
719C2×(C2×D79)⋊C4C2312yes—
720C2×(C2×D79)⋊C4C2312yes—
721C2×(C2×D79)⋊C4C2314yes—
722C2×(C2×D79)⋊C4C2312yes—
723C2×(C2×D79)⋊C4C2312yes—
724C2×(C2×D79)⋊C4C2312yes—
725C2×(C2×D79)⋊C4C2312yes—
726C2×(C2×D79)⋊C4C2312yes—
727C22⋊C4×D79C2314yes—
728C22⋊C4×D79C2312yes—
729C22⋊C4×D79C2312yes—
730C22⋊C4×D79C2314yes—
731C22⋊C4×D79C2314yes—
732C22⋊C4×D79C2314yes—
733C22⋊C4×D79C2314yes—
734C22⋊C4×D79C2314yes—
735C22⋊C4×D79C2312yes—
736C22⋊C4×D79C2314yes—
737C2×C4×Dic79C2311yescharacteristic
738C2×C4×Dic79C2312yes—
739C2×C4×Dic79C2312yes—
740C2×C4×Dic79C2312yes—
741C2×C4×Dic79C2314yes—
742C2×C4×Dic79C2312yes—
743C42×D79C2312yes—
744C42×D79C2312yes—
745C42×D79C2312yes—
746C42×D79C2314yes—
747C42×D79C2314yes—
748C2×#41×C79C2311yescharacteristic
749C2×#41×C79C2311yescharacteristic
750C2×#41×C79C2311yescharacteristic
751C2×#41×C79C2314yes—
752C22×Q8×C79C2312yes—
753C4⋊Q8×C79C2311yescharacteristic
754C4⋊Q8×C79C2312yes—
755C4⋊Q8×C79C2312yes—
756C4⋊Q8×C79C2312yes—
757C4⋊Q8×C79C2312yes—
758#127×C79C2311yescharacteristic
759#126×C79C2314yes—
760#126×C79C2314yes—
761#125×C79C2314yes—
762#124×C79C2314yes—
763#124×C79C2314yes—
764#124×C79C2314yes—
765#124×C79C2311yescharacteristic
766#124×C79C2311yescharacteristic
767#123×C79C2314yes—
768#123×C79C2314yes—
769C22⋊Q8×C79C2312yes—
770C22⋊Q8×C79C2312yes—
771C22⋊Q8×C79C2314yes—
772C22⋊Q8×C79C2314yes—
773C22⋊Q8×C79C2312yes—
774C22⋊Q8×C79C2314yes—
775C22⋊Q8×C79C2312yes—
776#121×C79C2312yes—
777#121×C79C2314yes—
778#121×C79C2312yes—
779#121×C79C2312yes—
780#121×C79C2314yes—
781#121×C79C2314yes—
782#121×C79C2312yes—
783#121×C79C2312yes—
784#121×C79C2312yes—
785C4×Q8×C79C2312yes—
786C4×Q8×C79C2312yes—
787C4×Q8×C79C2311yescharacteristic
788C4×Q8×C79C2311yescharacteristic
789C4×Q8×C79C2314yes—
790C4×D4×C79C2312yes—
791C4×D4×C79C2312yes—
792C4×D4×C79C2312yes—
793C4×D4×C79C2312yes—
794C4×D4×C79C2314yes—
795C4×D4×C79C2312yes—
796C4×D4×C79C2312yes—
797C4×D4×C79C2311yescharacteristic
798C4×D4×C79C2311yescharacteristic
799C4×D4×C79C2314yes—
800C4×D4×C79C2314yes—
801#117×C79C2312yes—
802#117×C79C2311yescharacteristic
803#117×C79C2314yes—
804#117×C79C2312yes—
805#117×C79C2312yes—
806C2×C4⋊C4×C79C2311yescharacteristic
807C2×C4⋊C4×C79C2311yescharacteristic
808C2×C4⋊C4×C79C2312yes—
809C2×C4⋊C4×C79C2312yes—
810C2×C4⋊C4×C79C2312yes—
811C2×C42×C79C2311yescharacteristic
812C2×C42×C79C2312yes—
813C23×D79C2414yes—
814C23×D79C2412yes—
815C23×D79C2411yescharacteristic
816C23×D79C2412yes—
817#11929625—24no—
818#11929625—28no—
819#11929624—28no—
820#11929624—28no—
821#11929624—28no—
822#11929624—84no—
823#11929624#4118yescomplemented
824#11929623—28no—
825#11929623—24no—
826#11929623—28no—
827#11929623—216no—
828#11929623—84no—
829C2×Dic158—28no—
830C2×Dic158—24no—
831C2×Dic158C2414yes—
832C2×Dic158C2412yes—
833C2×Dic158C2412yes—
834C2×Dic158C2412yes—
835C2×Dic158C2412yes—
836C2×Dic158C2414yes—
837C2×Dic158C2414yes—
838C2×Dic158C2412yes—
839C2×Dic158C2411yescharacteristic
840Q8×D79—28no—
841Q8×D79—24no—
842Q8×D79—84no—
843C2×D316—28no—
844C2×D316—24no—
845C2×D316—82no—
846C2×D316C2412yes—
847C2×D316C2412yes—
848C2×D316C2414yes—
849C2×D316C2412yes—
850C2×D316C2414yes—
851C2×D316C2414yes—
852C2×D316C2411yescharacteristic
853C2×C22⋊D79C2414yes—
854C2×C22⋊D79C2412yes—
855C2×C22⋊D79C2412yes—
856C2×C22⋊D79C2414yes—
857C2×C22⋊D79C2414yes—
858C2×C22⋊D79C2414yes—
859C2×C22⋊D79C2412yes—
860C2×C22⋊D79C2412yes—
861C2×C22⋊D79C2414yes—
862C2×C22⋊D79C2414yes—
863C2×C22⋊D79C2412yes—
864C2×C22⋊D79C2412yes—
865C2×C22⋊D79C2412yes—
866D4×D79—24no—
867D4×D79—28no—
868D4×D79—28no—
869D4×D79—216no—
870D4×D79—84no—
871C22×Dic79C2412yes—
872C22×Dic79C2414yes—
873C22×Dic79C2411yescharacteristic
874C22×Dic79C2412yes—
875C22×Dic79C2412yes—
876C22×Dic79C2412yes—
877C22×Dic79C2411yescharacteristic
878C22×Dic79C2412yes—
879C22×Dic79C2412yes—
880C22×Dic79C2411yescharacteristic
881C22×Dic79C2412yes—
882C22×Dic79C2412yes—
883C2×C4×D79—28no—
884C2×C4×D79—24no—
885C2×C4×D79—82no—
886C2×C4×D79—84no—
887C2×C4×D79C2414yes—
888C2×C4×D79C2412yes—
889C2×C4×D79C2411yescharacteristic
890C2×C4×D79C2412yes—
891C2×C4×D79C2411yescharacteristic
892C2×C4×D79C2411yescharacteristic
893C2×C4×D79C2414yes—
894C2×C4×D79C2411yescharacteristic
895C2×C4×D79C2412yes—
896C2×C4×D79C2414yes—
897C2×C4×D79C2414yes—
898C2×C4×D79C2414yes—
899C2×C4×D79C2412yes—
900C2×C4×D79C2414yes—
901C2×C4×D79C2412yes—
902C2×C4×D79C2412yes—
903C2×C4×D79C2414yes—
904C2×C4×D79C2412yes—
905C2×C4×D79C2412yes—
906C2×C4×D79C2414yes—
907C2×C4×D79C2412yes—
908C4⋊Dic79C2411yescharacteristic
909C4⋊Dic79C2412yes—
910C4⋊Dic79C2411yescharacteristic
911C4⋊Dic79C2412yes—
912C4⋊Dic79C2412yes—
913C4⋊Dic79C2414yes—
914C4⋊Dic79C2411yescharacteristic
915C4⋊Dic79C2411yescharacteristic
916C4⋊Dic79C2412yes—
917C4⋊Dic79C2412yes—
918C4⋊Dic79C2414yes—
919C4⋊Dic79C2411yescharacteristic
920C4⋊Dic79C2412yes—
921C4⋊Dic79C2411yescharacteristic
922C4⋊Dic79C2412yes—
923C4⋊Dic79C2414yes—
924C4⋊Dic79C2414yes—
925C4⋊Dic79C2412yes—
926Dic79⋊C4C2412yes—
927Dic79⋊C4C2411yescharacteristic
928Dic79⋊C4C2411yescharacteristic
929Dic79⋊C4C2412yes—
930Dic79⋊C4C2412yes—
931Dic79⋊C4C2414yes—
932Dic79⋊C4C2412yes—
933Dic79⋊C4C2414yes—
934Dic79⋊C4C2414yes—
935Dic79⋊C4C2414yes—
936Dic79⋊C4C2414yes—
937Dic79⋊C4C2414yes—
938Dic79⋊C4C2414yes—
939Dic79⋊C4C2411yescharacteristic
940Dic79⋊C4C2411yescharacteristic
941Dic79⋊C4C2414yes—
942Dic79⋊C4C2412yes—
943Dic79⋊C4C2411yescharacteristic
944Dic79⋊C4C2411yescharacteristic
945Dic79⋊C4C2412yes—
946Dic79⋊C4C2412yes—
947Dic79⋊C4C2411yescharacteristic
948Dic79⋊C4C2411yescharacteristic
949Dic79⋊C4C2414yes—
950Dic79⋊C4C2414yes—
951Dic79⋊C4C2414yes—
952Dic79⋊C4C2414yes—
953Dic79⋊C4C2412yes—
954Dic79⋊C4C2412yes—
955Dic79⋊C4C2412yes—
956Dic79⋊C4C2412yes—
957Dic79⋊C4C2414yes—
958Dic79⋊C4C2414yes—
959Dic79⋊C4C2412yes—
960Dic79⋊C4C2412yes—
961Dic79⋊C4C2412yes—
962C22⋊Dic79C2412yes—
963C22⋊Dic79C2412yes—
964C22⋊Dic79C2412yes—
965C22⋊Dic79C2412yes—
966C22⋊Dic79C2412yes—
967C22⋊Dic79C2412yes—
968C22⋊Dic79C2412yes—
969C22⋊Dic79C2414yes—
970C22⋊Dic79C2414yes—
971C22⋊Dic79C2414yes—
972C22⋊Dic79C2412yes—
973C22⋊Dic79C2412yes—
974C22⋊Dic79C2412yes—
975C22⋊Dic79C2412yes—
976C22⋊Dic79C2412yes—
977C22⋊Dic79C2414yes—
978C22⋊Dic79C2412yes—
979(C2×D79)⋊C4C2412yes—
980(C2×D79)⋊C4C2412yes—
981(C2×D79)⋊C4C2412yes—
982(C2×D79)⋊C4C2411yescharacteristic
983(C2×D79)⋊C4C2411yescharacteristic
984(C2×D79)⋊C4C2414yes—
985(C2×D79)⋊C4C2412yes—
986(C2×D79)⋊C4C2414yes—
987(C2×D79)⋊C4C2414yes—
988(C2×D79)⋊C4C2414yes—
989(C2×D79)⋊C4C2414yes—
990(C2×D79)⋊C4C2414yes—
991(C2×D79)⋊C4C2414yes—
992(C2×D79)⋊C4C2414yes—
993(C2×D79)⋊C4C2414yes—
994(C2×D79)⋊C4C2414yes—
995(C2×D79)⋊C4C2414yes—
996(C2×D79)⋊C4C2411yescharacteristic
997(C2×D79)⋊C4C2411yescharacteristic
998(C2×D79)⋊C4C2412yes—
999(C2×D79)⋊C4C2414yes—
1000(C2×D79)⋊C4C2411yescharacteristic
1001(C2×D79)⋊C4C2411yescharacteristic
1002(C2×D79)⋊C4C2412yes—
1003(C2×D79)⋊C4C2412yes—
1004(C2×D79)⋊C4C2411yescharacteristic
1005(C2×D79)⋊C4C2411yescharacteristic
1006(C2×D79)⋊C4C2414yes—
1007(C2×D79)⋊C4C2414yes—
1008(C2×D79)⋊C4C2414yes—
1009(C2×D79)⋊C4C2414yes—
1010(C2×D79)⋊C4C2412yes—
1011(C2×D79)⋊C4C2414yes—
1012(C2×D79)⋊C4C2414yes—
1013(C2×D79)⋊C4C2412yes—
1014(C2×D79)⋊C4C2412yes—
1015C4×Dic79C2412yes—
1016C4×Dic79C2411yescharacteristic
1017C4×Dic79C2412yes—
1018C4×Dic79C2412yes—
1019C4×Dic79C2412yes—
1020C4×Dic79C2412yes—
1021C4×Dic79C2414yes—
1022C4×Dic79C2414yes—
1023C4×Dic79C2412yes—
1024C4×Dic79C2412yes—
1025C4×Dic79C2412yes—
1026C4×Dic79C2412yes—
1027C4×Dic79C2414yes—
1028C4×Dic79C2411yescharacteristic
1029C4×Dic79C2411yescharacteristic
1030C4×Dic79C2411yescharacteristic
1031C4×Dic79C2414yes—
1032C4×Dic79C2412yes—
1033C4×Dic79C2412yes—
1034C4×Dic79C2414yes—
1035C4×Dic79C2414yes—
1036C4×Dic79C2412yes—
1037C4×Dic79C2412yes—
1038C4×Dic79C2412yes—
1039C4×Dic79C2412yes—
1040#41×C79—24no—
1041#41×C79—24no—
1042#41×C79—24no—
1043#41×C79—84no—
1044C2×Q8×C79—82no—
1045C2×Q8×C79C2411yescharacteristic
1046C2×Q8×C79C2411yescharacteristic
1047C2×Q8×C79C2411yescharacteristic
1048C2×Q8×C79C2414yes—
1049C2×Q8×C79C2414yes—
1050C2×D4×C79C2412yes—
1051C2×D4×C79C2411yescharacteristic
1052C2×D4×C79C2412yes—
1053C2×D4×C79C2411yescharacteristic
1054C2×D4×C79C2412yes—
1055C2×D4×C79C2411yescharacteristic
1056C2×D4×C79C2414yes—
1057C2×D4×C79C2412yes—
1058C2×D4×C79C2412yes—
1059C2×D4×C79C2414yes—
1060C22×C4×C79C2412yes—
1061C22×C4×C79C2412yes—
1062C22×C4×C79C2412yes—
1063C22×C4×C79C2414yes—
1064C22×C4×C79C2411yescharacteristic
1065C22×C4×C79C2412yes—
1066C22×C4×C79C2411yescharacteristic
1067C22×C4×C79C2412yes—
1068C22×C4×C79C2412yes—
1069C22×C4×C79C2412yes—
1070C22×C4×C79C2414yes—
1071C22×C4×C79C2411yescharacteristic
1072C4⋊C4×C79C2411yescharacteristic
1073C4⋊C4×C79C2412yes—
1074C4⋊C4×C79C2412yes—
1075C4⋊C4×C79C2414yes—
1076C4⋊C4×C79C2412yes—
1077C4⋊C4×C79C2412yes—
1078C4⋊C4×C79C2414yes—
1079C4⋊C4×C79C2414yes—
1080C4⋊C4×C79C2414yes—
1081C4⋊C4×C79C2411yescharacteristic
1082C4⋊C4×C79C2412yes—
1083C4⋊C4×C79C2412yes—
1084C4⋊C4×C79C2412yes—
1085C4⋊C4×C79C2412yes—
1086C4⋊C4×C79C2414yes—
1087C4⋊C4×C79C2414yes—
1088C22⋊C4×C79C2412yes—
1089C22⋊C4×C79C2414yes—
1090C22⋊C4×C79C2414yes—
1091C22⋊C4×C79C2412yes—
1092C22⋊C4×C79C2412yes—
1093C22⋊C4×C79C2414yes—
1094C22⋊C4×C79C2414yes—
1095C22⋊C4×C79C2414yes—
1096C22⋊C4×C79C2414yes—
1097C22⋊C4×C79C2412yes—
1098C22⋊C4×C79C2412yes—
1099C22⋊C4×C79C2412yes—
1100C22⋊C4×C79C2412yes—
1101C42×C79C2411yescharacteristic
1102C42×C79C2412yes—
1103C42×C79C2411yescharacteristic
1104C42×C79C2412yes—
1105C42×C79C2411yescharacteristic
1106C42×C79C2411yescharacteristic
1107C42×C79C2412yes—
1108C42×C79C2414yes—
1109C42×C79C2414yes—
1110C23×C79C2512yes—
1111C23×C79C2512yes—
1112C23×C79C2512yes—
1113C23×C79C2511yescharacteristic
1114C22×D79—22no—
1115C22×D79—24no—
1116C22×D79—24no—
1117C22×D79—28no—
1118C22×D79—44no—
1119C22×D79—42no—
1120C22×D79—42no—
1121C22×D79—41no—
1122C22×D79—42no—
1123C22×D79—44no—
1124C22×D79—41no—
1125C22×D79—42no—
1126C22×D79C2511yescharacteristic
1127C22×D79C2514yes—
1128C22×D79C2511yescharacteristic
1129C22×D79C2512yes—
1130Q8×C79—22no—
1131Q8×C79—22no—
1132Q8×C79—22no—
1133Q8×C79—44no—
1134Q8×C79—44no—
1135D4×C79—24no—
1136D4×C79—24no—
1137D4×C79—24no—
1138D4×C79—22no—
1139D4×C79—22no—
1140D4×C79—22no—
1141D4×C79—44no—
1142D4×C79—44no—
1143D4×C79—42no—
1144D4×C79—42no—
1145C2×C4×C79—24no—
1146C2×C4×C79—24no—
1147C2×C4×C79—24no—
1148C2×C4×C79—42no—
1149C2×C4×C79—44no—
1150C2×C4×C79—42no—
1151C2×C4×C79—44no—
1152C2×C4×C79—41no—
1153C2×C4×C79—42no—
1154C2×C4×C79—41no—
1155C2×C4×C79—42no—
1156C2×C4×C79C2×#4114yes—
1157C2×C4×C79C2512yes—
1158C2×C4×C79C2512yes—
1159C2×C4×C79C2514yes—
1160C2×C4×C79C2511yescharacteristic
1161C2×C4×C79C2511yescharacteristic
1162C2×C4×C79C2512yes—
1163C2×C4×C79C2512yes—
1164C2×C4×C79C2512yes—
1165C2×C4×C79C2514yes—
1166C2×C4×C79C2511yescharacteristic
1167C2×C4×C79C2511yescharacteristic
1168C2×C4×C79C2511yescharacteristic
1169C2×C4×C79C2511yescharacteristic
1170C22⋊D79—24no—
1171C22⋊D79—28no—
1172C22⋊D79—28no—
1173C22⋊D79—24no—
1174C22⋊D79—42no—
1175C22⋊D79—44no—
1176C22⋊D79—44no—
1177C22⋊D79—42no—
1178C22⋊D79—44no—
1179C22⋊D79—42no—
1180C22⋊D79—44no—
1181C22⋊D79—42no—
1182C22⋊D79C2×#4118yes—
1183C2×Dic79—22no—
1184C2×Dic79—24no—
1185C2×Dic79—24no—
1186C2×Dic79—28no—
1187C2×Dic79—42no—
1188C2×Dic79—41no—
1189C2×Dic79—42no—
1190C2×Dic79—42no—
1191C2×Dic79—42no—
1192C2×Dic79—41no—
1193C2×Dic79—42no—
1194C2×Dic79—42no—
1195C2×Dic79C2511yescharacteristic
1196C2×Dic79C2511yescharacteristic
1197C2×Dic79C2512yes—
1198C2×Dic79C2511yescharacteristic
1199C2×Dic79C2511yescharacteristic
1200C2×Dic79C2514yes—
1201C2×Dic79C2512yes—
1202C2×Dic79C2512yes—
1203C2×Dic79C2511yescharacteristic
1204C2×Dic79C2512yes—
1205C2×Dic79C2512yes—
1206C2×Dic79C2512yes—
1207C2×Dic79C2511yescharacteristic
1208C2×Dic79C2512yes—
1209D316—28no—
1210D316—24no—
1211D316—24no—
1212D316—24no—
1213D316—44no—
1214D316—44no—
1215D316C2×#4114yes—
1216C4×D79—24no—
1217C4×D79—28no—
1218C4×D79—22no—
1219C4×D79—22no—
1220C4×D79—22no—
1221C4×D79—22no—
1222C4×D79—24no—
1223C4×D79—28no—
1224C4×D79—42no—
1225C4×D79—44no—
1226C4×D79—44no—
1227C4×D79—44no—
1228C4×D79—44no—
1229C4×D79—42no—
1230C4×D79—42no—
1231C4×D79—44no—
1232C4×D79—42no—
1233C4×D79—44no—
1234C4×D79—42no—
1235C4×D79—42no—
1236C4×D79C2×#4118yes—
1237Dic158—24no—
1238Dic158—24no—
1239Dic158—28no—
1240Dic158—24no—
1241Dic158—42no—
1242Dic158—44no—
1243Dic158—44no—
1244Dic158—42no—
1245Dic158C2×#4114yes—
1246C22×C79—21no—
1247C22×C79—21no—
1248C22×C79—22no—
1249C22×C79—22no—
1250C22×C79—22no—
1251C22×C79—22no—
1252C22×C79—22no—
1253C22×C79—22no—
1254C22×C79—22no—
1255C22×C79—22no—
1256C22×C79—22no—
1257C22×C79C22×#4112yes—
1258C22×C79C2611yescharacteristic
1259C2×D79—22no—
1260C2×D79—22no—
1261C2×D79—21no—
1262C2×D79—24no—
1263C2×D79—21no—
1264C2×D79—21no—
1265C2×D79—24no—
1266C2×D79—21no—
1267C2×D79—21no—
1268C2×D79—24no—
1269C2×D79—21no—
1270C2×D79—88no—
1271C2×D79—84no—
1272C2×D79—82no—
1273C2×D79—84no—
1274C2×D79C22×#4114yes—
1275C4×C79—22no—
1276C4×C79—22no—
1277C4×C79—22no—
1278C4×C79—22no—
1279C4×C79—21no—
1280C4×C79—24no—
1281C4×C79—24no—
1282C4×C79—21no—
1283C4×C79—21no—
1284C4×C79—21no—
1285C4×C79—22no—
1286C4×C79C22×#4112yes—
1287C4×C79C22×#4112yes—
1288Dic79—21no—
1289Dic79—24no—
1290Dic79—21no—
1291Dic79—22no—
1292Dic79—22no—
1293Dic79—22no—
1294Dic79—21no—
1295Dic79—21no—
1296Dic79—22no—
1297Dic79—22no—
1298Dic79—22no—
1299Dic79—21no—
1300Dic79—21no—
1301Dic79C22×#4114yes—
1302#62857—791nomaximal, Sylow
1303C2×C79—22no—
1304C2×C79—42no—
1305C2×C79—42no—
1306C2×C79—42no—
1307C2×C79C23×#4111yescharacteristic
1308C2×C79H(7,𝔽2)11yescharacteristic
1309C2×C792−1+611yescharacteristic
1310D79—24no—
1311D79—41no—
1312D79—44no—
1313D79—41no—
1314#3524—792no—
1315#3522—792no—
1316#3521—792no—
1317#3521—794no—
1318#3520—792no—
1319#3520—794no—
1320#3518—792no—
1321#3516—792no—
1322#3514—792no—
1323#3514—794no—
1324#3513—794no—
1325#3513—792no—
1326#3511—792no—
1327#3511D7911yescharacteristic, complemented
1328#3510—792no—
1329#3510—791no—
1330#3503—791no—
1331#3500—791no—
1332#3495—792no—
1333#3495—791no—
1334#3494—792no—
1335#3494—791no—
1336#3489—791no—
1337#3488—791no—
1338#3461—791no—
1339#3461—792no—
1340#3460—791no—
1341#3460—792no—
1342#3455—792no—
1343#3455—791no—
1344C2×#542—792no—
1345C2×#542—791no—
1346C4×2−1+4—791no—
1347C4×H(5,𝔽2)—791no—
1348#3428—791no—
1349C79#6285711yescharacteristic, complemented, Sylow
1350C2×2−1+4—791no—
1351C2×H(5,𝔽2)—791no—
1352C22×#41—791no—
1353#559—794no—
1354#559—794no—
1355#559—792no—
1356#559—792no—
1357Q82—792no—
1358#557—792no—
1359#556—794no—
1360#556—794no—
1361#556—794no—
1362#556—794no—
1363#556—792no—
1364#556—792no—
1365#556—792no—
1366#556C2×D7912yescomplemented
1367#555—794no—
1368#555—794no—
1369#555—792no—
1370#555C2×D7912yescomplemented
1371#554—792no—
1372#554—794no—
1373#554—794no—
1374#554—792no—
1375#554—794no—
1376#554C2×D7912yescomplemented
1377#553—794no—
1378#553—794no—
1379#553—794no—
1380#553—794no—
1381#553—792no—
1382#553—792no—
1383#553C2×D7914yescomplemented
1384#552—794no—
1385#552—794no—
1386#552—794no—
1387#552—794no—
1388#552—794no—
1389#552—792no—
1390#552—792no—
1391#551—794no—
1392#551—794no—
1393#551—794no—
1394#551—794no—
1395#551—794no—
1396#551—794no—
1397#551—794no—
1398#551—794no—
1399#551—794no—
1400#551—794no—
1401#551—794no—
1402#551—794no—
1403#550—792no—
1404D4×Q8—794no—
1405D4×Q8—792no—
1406D4×Q8—792no—
1407#548—794no—
1408#548—792no—
1409#548—794no—
1410#548—792no—
1411#548—792no—
1412#548—792no—
1413#548C2×D7914yescomplemented
1414#547—794no—
1415#547—794no—
1416#547—792no—
1417#547—794no—
1418#547—792no—
1419#547C2×D7912yescomplemented
1420#546—794no—
1421#546—792no—
1422#546—794no—
1423#546—794no—
1424#546—794no—
1425#546—794no—
1426#546—794no—
1427#546—792no—
1428#546—794no—
1429#546—792no—
1430#546—792no—
1431D42—794no—
1432D42—792no—
1433#544—792no—
1434#544—792no—
1435#544—791no—
1436#544—791no—
1437#542—792no—
1438#542—792no—
1439#542—792no—
1440#542—792no—
1441#542—792no—
1442#542—792no—
1443#542—792no—
1444#542—792no—
1445#542—794no—
1446#542—794no—
1447#542—794no—
1448#542—791no—
1449#542—791no—
1450#542—791no—
1451#542—791no—
1452#542—794no—
1453#542—794no—
1454#542—794no—
1455#542—792no—
1456#542—792no—
1457#542—792no—
1458#542—792no—
1459#542—792no—
1460#542—792no—
1461#542—792no—
1462#542—792no—
1463#542C2×D7912yescomplemented
1464#542C2×D7912yescomplemented
1465#541—791no—
1466#541—791no—
1467#541—794no—
1468#541—792no—
1469#541—792no—
1470#541—792no—
1471#540—791no—
1472#540—791no—
1473#540—794no—
1474#540—792no—
1475#540—792no—
1476#540—792no—
1477#539—794no—
1478#539—794no—
1479#539—794no—
1480#539—794no—
1481#539—792no—
1482#539—792no—
1483#539—794no—
1484#538—794no—
1485#538—794no—
1486#538—794no—
1487#538—794no—
1488#538—792no—
1489#538—792no—
1490#538—794no—
1491#537—792no—
1492#537—792no—
1493#537C2×D7911yescharacteristic
1494#537C2×D7911yescharacteristic, complemented
1495#536—791no—
1496#536—791no—
1497#536—792no—
1498#536—792no—
1499#535—791no—
1500#535—791no—
1501#535—792no—
1502#535—792no—
1503#533—792no—
1504#533—792no—
1505#533—792no—
1506#533—792no—
1507#533—794no—
1508#533—791no—
1509#533C2×D7912yescomplemented
1510#532—794no—
1511#532—792no—
1512#532—792no—
1513#532—792no—
1514#532—792no—
1515#532C2×D7911yescharacteristic, complemented
1516#532C2×D7912yescomplemented
1517C2×C4⋊Q8—792no—
1518C2×C4⋊Q8C2×D7911yescharacteristic, complemented
1519#529—794no—
1520#529—794no—
1521#529—794no—
1522#529—794no—
1523#529—792no—
1524#529—792no—
1525#529—792no—
1526#529—792no—
1527#529—794no—
1528#529—792no—
1529#529—794no—
1530#529—792no—
1531#529—792no—
1532#529—792no—
1533#529—792no—
1534#529—792no—
1535#529—794no—
1536#529—794no—
1537#529—794no—
1538#529—792no—
1539#529—792no—
1540C2×#126—794no—
1541C2×#126—792no—
1542C2×#124—792no—
1543C2×#124—792no—
1544C2×#124—794no—
1545C2×#124—791no—
1546#525—791no—
1547#525—791no—
1548#525—794no—
1549#525—792no—
1550#525—792no—
1551#525—794no—
1552#525—794no—
1553C2×#123—794no—
1554C2×#123—792no—
1555C2×C22⋊Q8—792no—
1556C2×C22⋊Q8—792no—
1557C2×C22⋊Q8—794no—
1558C2×C22⋊Q8—791no—
1559C2×#121—792no—
1560C2×#121—791no—
1561#520—791no—
1562#520—791no—
1563#520—792no—
1564#520—792no—
1565#520—792no—
1566#520—791no—
1567#520—791no—
1568#520—792no—
1569#520—794no—
1570#520—791no—
1571#520—792no—
1572#520—791no—
1573#520—792no—
1574#520C2×D7911yescharacteristic, complemented
1575#520C2×D7911yescharacteristic, complemented
1576#519—791no—
1577#519—791no—
1578#519—792no—
1579#519—791no—
1580#519—792no—
1581#518—792no—
1582#518—791no—
1583#518—792no—
1584#518—791no—
1585#518—792no—
1586#518—794no—
1587#518—791no—
1588#518—792no—
1589C4×#41—791no—
1590C4×#41—791no—
1591C4×#41—791no—
1592C4×#41—792no—
1593C4×#41—792no—
1594C4×#41—794no—
1595C4×#41—791no—
1596C4×#41—792no—
1597C4×#41—792no—
1598C4×#41—792no—
1599C4×#41—792no—
1600C4×#41—791no—
1601C4×#41C2×D7911yescharacteristic, complemented
1602C2×C4×Q8—792no—
1603C2×C4×Q8—791no—
1604C2×C4×Q8—792no—
1605C2×C4×D4—792no—
1606C2×C4×D4—794no—
1607C2×C4×D4—791no—
1608C2×C4×D4—792no—
1609C2×#117—792no—
1610C2×#117—791no—
1611C2×#117—791no—
1612C2×#117—792no—
16132−1+4—1588no—
1614H(5,𝔽2)—1588no—
1615C2×#41—792no—
1616C2×#41—791no—
1617C2×#41—794no—
1618C2×#41—792no—
1619C2×#41—794no—
1620C2×#41—792no—
1621C2×#41—791no—
1622C2×#41—791no—
1623C2×#41—794no—
1624C2×#41—792no—
1625C2×#41—792no—
1626C2×#41—792no—
1627C2×#41—1588no—
1628C2×#41C22×D7911yescharacteristic
1629C2×#41C22×D7911yescharacteristic
1630C2×#41C22×D7911yescharacteristic
1631C2×#41C22×D7914yes—
1632C22×Q8—794no—
1633C22×Q8—792no—
1634C22×Q8—791no—
1635C22×Q8—791no—
1636C22×Q8—792no—
1637C22×Q8C22×D7912yes—
1638C22×D4—794no—
1639C22×D4—792no—
1640C22×D4—794no—
1641C22×D4—792no—
1642C22×D4—791no—
1643C22×D4—792no—
1644C22×D4—791no—
1645C22×D4—792no—
1646C23×C4—792no—
1647C23×C4—794no—
1648C23×C4—792no—
1649C23×C4—791no—
1650C4⋊Q8—794no—
1651C4⋊Q8—792no—
1652C4⋊Q8—794no—
1653C4⋊Q8—792no—
1654C4⋊Q8—794no—
1655C4⋊Q8—792no—
1656C4⋊Q8—792no—
1657C4⋊Q8—794no—
1658C4⋊Q8—792no—
1659C4⋊Q8—794no—
1660C4⋊Q8—792no—
1661C4⋊Q8—791no—
1662C4⋊Q8—791no—
1663C4⋊Q8C22×D7912yes—
1664C4⋊Q8C22×D7912yes—
1665C4⋊Q8C22×D7912yes—
1666C4⋊Q8C22×D7912yes—
1667C4⋊Q8C22×D7911yescharacteristic
1668#127—792no—
1669#127—792no—
1670#127—794no—
1671#127C22×D7911yescharacteristic
1672#126—794no—
1673#126—794no—
1674#126—794no—
1675#126—794no—
1676#126—794no—
1677#126—794no—
1678#126—792no—
1679#126—792no—
1680#126—794no—
1681#126—792no—
1682#126—792no—
1683#126—794no—
1684#126—794no—
1685#126—794no—
1686#126—792no—
1687#126—794no—
1688#126—794no—
1689#126—794no—
1690#126—794no—
1691#126—792no—
1692#126—794no—
1693#126—794no—
1694#126—792no—
1695#126—792no—
1696#126—794no—
1697#126—794no—
1698#126—794no—
1699#126—794no—
1700#126C22×D7914yes—
1701#126C22×D7914yes—
1702#125—792no—
1703#125—794no—
1704#125—792no—
1705#125—792no—
1706#125—794no—
1707#125—792no—
1708#125—792no—
1709#125—792no—
1710#125—794no—
1711#125—794no—
1712#125—792no—
1713#125—794no—
1714#125—792no—
1715#125—794no—
1716#125—794no—
1717#125—791no—
1718#125—791no—
1719#125—794no—
1720#125C22×D7914yes—
1721#124—794no—
1722#124—792no—
1723#124—794no—
1724#124—794no—
1725#124—794no—
1726#124—792no—
1727#124—792no—
1728#124—794no—
1729#124—792no—
1730#124—792no—
1731#124—794no—
1732#124—794no—
1733#124—794no—
1734#124—794no—
1735#124—794no—
1736#124—792no—
1737#124—794no—
1738#124—794no—
1739#124—792no—
1740#124—792no—
1741#124—794no—
1742#124—794no—
1743#124—794no—
1744#124—792no—
1745#124—792no—
1746#124—792no—
1747#124—792no—
1748#124—794no—
1749#124C22×D7911yescharacteristic
1750#124C22×D7914yes—
1751#124C22×D7914yes—
1752#124C22×D7911yescharacteristic
1753#124C22×D7914yes—
1754#123—794no—
1755#123—792no—
1756#123—792no—
1757#123—792no—
1758#123—792no—
1759#123—794no—
1760#123—794no—
1761#123—792no—
1762#123—792no—
1763#123—794no—
1764#123—794no—
1765#123—794no—
1766#123—794no—
1767#123—794no—
1768#123—794no—
1769#123—794no—
1770#123—794no—
1771#123—794no—
1772#123—794no—
1773#123—794no—
1774#123—794no—
1775#123—794no—
1776#123—794no—
1777#123—794no—
1778#123—792no—
1779#123—794no—
1780#123—794no—
1781#123—794no—
1782#123—794no—
1783#123—792no—
1784#123—794no—
1785#123—794no—
1786#123—794no—
1787#123—794no—
1788#123—792no—
1789#123—794no—
1790#123—792no—
1791#123—794no—
1792#123C22×D7914yes—
1793#123C22×D7914yes—
1794C22⋊Q8—791no—
1795C22⋊Q8—794no—
1796C22⋊Q8—794no—
1797C22⋊Q8—794no—
1798C22⋊Q8—794no—
1799C22⋊Q8—791no—
1800C22⋊Q8—791no—
1801C22⋊Q8—791no—
1802C22⋊Q8—794no—
1803C22⋊Q8—794no—
1804C22⋊Q8—794no—
1805C22⋊Q8—792no—
1806C22⋊Q8—794no—
1807C22⋊Q8—792no—
1808C22⋊Q8—794no—
1809C22⋊Q8—792no—
1810C22⋊Q8—794no—
1811C22⋊Q8—792no—
1812C22⋊Q8—792no—
1813C22⋊Q8—792no—
1814C22⋊Q8—792no—
1815C22⋊Q8—794no—
1816C22⋊Q8—792no—
1817C22⋊Q8—794no—
1818C22⋊Q8—792no—
1819C22⋊Q8—792no—
1820C22⋊Q8—794no—
1821C22⋊Q8—794no—
1822C22⋊Q8—794no—
1823C22⋊Q8—794no—
1824C22⋊Q8—794no—
1825C22⋊Q8—794no—
1826C22⋊Q8—794no—
1827C22⋊Q8—794no—
1828C22⋊Q8—794no—
1829C22⋊Q8—794no—
1830C22⋊Q8—792no—
1831C22⋊Q8—794no—
1832C22⋊Q8—794no—
1833C22⋊Q8—792no—
1834C22⋊Q8—794no—
1835C22⋊Q8—792no—
1836C22⋊Q8—792no—
1837C22⋊Q8—794no—
1838C22⋊Q8C22×D7912yes—
1839C22⋊Q8C22×D7914yes—
1840C22⋊Q8C22×D7912yes—
1841C22⋊Q8C22×D7912yes—
1842C22⋊Q8C22×D7914yes—
1843C22⋊Q8C22×D7912yes—
1844C22⋊Q8C22×D7914yes—
1845#121—791no—
1846#121—794no—
1847#121—791no—
1848#121—794no—
1849#121—792no—
1850#121—791no—
1851#121—791no—
1852#121—794no—
1853#121—792no—
1854#121—794no—
1855#121—794no—
1856#121—792no—
1857#121—792no—
1858#121—794no—
1859#121—794no—
1860#121—794no—
1861#121—792no—
1862#121—792no—
1863#121—792no—
1864#121—794no—
1865#121—792no—
1866#121—792no—
1867#121—792no—
1868#121—792no—
1869#121—792no—
1870#121—794no—
1871#121—794no—
1872#121—794no—
1873#121—794no—
1874#121—794no—
1875#121—794no—
1876#121—794no—
1877#121—794no—
1878#121—794no—
1879#121C22×D7912yes—
1880#121C22×D7912yes—
1881#121C22×D7914yes—
1882#121C22×D7914yes—
1883#121C22×D7912yes—
1884#121C22×D7912yes—
1885#121C22×D7912yes—
1886#121C22×D7912yes—
1887#121C22×D7914yes—
1888#120—794no—
1889#120—794no—
1890#120—794no—
1891#120—794no—
1892#120—794no—
1893#120—792no—
1894#120—792no—
1895#120—794no—
1896#120—794no—
1897#120—794no—
1898C4×Q8—791no—
1899C4×Q8—791no—
1900C4×Q8—791no—
1901C4×Q8—791no—
1902C4×Q8—791no—
1903C4×Q8—791no—
1904C4×Q8—794no—
1905C4×Q8—791no—
1906C4×Q8—794no—
1907C4×Q8—792no—
1908C4×Q8—792no—
1909C4×Q8—792no—
1910C4×Q8—792no—
1911C4×Q8—792no—
1912C4×Q8—794no—
1913C4×Q8—792no—
1914C4×Q8—791no—
1915C4×Q8—792no—
1916C4×Q8—792no—
1917C4×Q8—792no—
1918C4×Q8—792no—
1919C4×Q8—794no—
1920C4×Q8—794no—
1921C4×Q8—794no—
1922C4×Q8—792no—
1923C4×Q8—792no—
1924C4×Q8—794no—
1925C4×Q8—792no—
1926C4×Q8—792no—
1927C4×Q8—791no—
1928C4×Q8—791no—
1929C4×Q8—792no—
1930C4×Q8—792no—
1931C4×Q8—794no—
1932C4×Q8C22×D7912yes—
1933C4×Q8C22×D7912yes—
1934C4×Q8C22×D7911yescharacteristic
1935C4×Q8C22×D7911yescharacteristic
1936C4×Q8C22×D7914yes—
1937C4×D4—792no—
1938C4×D4—791no—
1939C4×D4—792no—
1940C4×D4—791no—
1941C4×D4—792no—
1942C4×D4—791no—
1943C4×D4—792no—
1944C4×D4—792no—
1945C4×D4—791no—
1946C4×D4—791no—
1947C4×D4—792no—
1948C4×D4—791no—
1949C4×D4—794no—
1950C4×D4—794no—
1951C4×D4—794no—
1952C4×D4—794no—
1953C4×D4—794no—
1954C4×D4—792no—
1955C4×D4—792no—
1956C4×D4—792no—
1957C4×D4—792no—
1958C4×D4—792no—
1959C4×D4—792no—
1960C4×D4—794no—
1961C4×D4—794no—
1962C4×D4—794no—
1963C4×D4—792no—
1964C4×D4—792no—
1965C4×D4—792no—
1966C4×D4—792no—
1967C4×D4—794no—
1968C4×D4—794no—
1969C4×D4—794no—
1970C4×D4—794no—
1971C4×D4—791no—
1972C4×D4—794no—
1973C4×D4—792no—
1974C4×D4—792no—
1975C4×D4—792no—
1976C4×D4—792no—
1977C4×D4—792no—
1978C4×D4—792no—
1979C4×D4—794no—
1980C4×D4—791no—
1981C4×D4—792no—
1982C4×D4—792no—
1983C4×D4—792no—
1984C4×D4—792no—
1985C4×D4—794no—
1986C4×D4—792no—
1987C4×D4—794no—
1988C4×D4—792no—
1989C4×D4—794no—
1990C4×D4—794no—
1991C4×D4—792no—
1992C4×D4—792no—
1993C4×D4—792no—
1994C4×D4—792no—
1995C4×D4—794no—
1996C4×D4—794no—
1997C4×D4—794no—
1998C4×D4—794no—
1999C4×D4—794no—
2000C4×D4—794no—
2001C4×D4—794no—
2002C4×D4—792no—
2003C4×D4—794no—
2004C4×D4—794no—
2005C4×D4—792no—
2006C4×D4—792no—
2007C4×D4—792no—
2008C4×D4—791no—
2009C4×D4—791no—
2010C4×D4—794no—
2011C4×D4C22×D7912yes—
2012C4×D4C22×D7914yes—
2013C4×D4C22×D7912yes—
2014C4×D4C22×D7914yes—
2015C4×D4C22×D7911yescharacteristic
2016C4×D4C22×D7912yes—
2017C4×D4C22×D7912yes—
2018C4×D4C22×D7911yescharacteristic
2019C4×D4C22×D7914yes—
2020C4×D4C22×D7912yes—
2021C4×D4C22×D7912yes—
2022#117—791no—
2023#117—792no—
2024#117—791no—
2025#117—792no—
2026#117—791no—
2027#117—792no—
2028#117—794no—
2029#117—792no—
2030#117—792no—
2031#117—791no—
2032#117—791no—
2033#117—792no—
2034#117—794no—
2035#117—792no—
2036#117—794no—
2037#117—794no—
2038#117—792no—
2039#117—792no—
2040#117—792no—
2041#117—794no—
2042#117—794no—
2043#117—794no—
2044#117—794no—
2045#117—794no—
2046#117—791no—
2047#117—792no—
2048#117—791no—
2049#117—792no—
2050#117—792no—
2051#117—791no—
2052#117—791no—
2053#117—791no—
2054#117—791no—
2055#117—792no—
2056#117—792no—
2057#117—791no—
2058#117—791no—
2059#117—792no—
2060#117—792no—
2061#117—794no—
2062#117—794no—
2063#117—794no—
2064#117—794no—
2065#117—794no—
2066#117—794no—
2067#117C22×D7911yescharacteristic
2068#117C22×D7912yes—
2069#117C22×D7912yes—
2070#117C22×D7912yes—
2071#117C22×D7914yes—
2072C2×C4⋊C4—791no—
2073C2×C4⋊C4—791no—
2074C2×C4⋊C4—792no—
2075C2×C4⋊C4—792no—
2076C2×C4⋊C4—792no—
2077C2×C4⋊C4—794no—
2078C2×C4⋊C4—792no—
2079C2×C4⋊C4—792no—
2080C2×C4⋊C4—792no—
2081C2×C4⋊C4—791no—
2082C2×C4⋊C4—791no—
2083C2×C4⋊C4—792no—
2084C2×C4⋊C4—794no—
2085C2×C4⋊C4—792no—
2086C2×C4⋊C4—794no—
2087C2×C4⋊C4—794no—
2088C2×C4⋊C4—794no—
2089C2×C4⋊C4C22×D7911yescharacteristic
2090C2×C4⋊C4C22×D7912yes—
2091C2×C4⋊C4C22×D7911yescharacteristic
2092C2×C4⋊C4C22×D7912yes—
2093C2×C4⋊C4C22×D7912yes—
2094C2×C22⋊C4—791no—
2095C2×C22⋊C4—791no—
2096C2×C22⋊C4—792no—
2097C2×C22⋊C4—792no—
2098C2×C22⋊C4—792no—
2099C2×C22⋊C4—794no—
2100C2×C22⋊C4—792no—
2101C2×C22⋊C4—792no—
2102C2×C22⋊C4—792no—
2103C2×C22⋊C4—792no—
2104C2×C22⋊C4—792no—
2105C2×C22⋊C4—792no—
2106C2×C22⋊C4—792no—
2107C2×C22⋊C4—794no—
2108C2×C22⋊C4—794no—
2109C2×C22⋊C4—794no—
2110C2×C22⋊C4—794no—
2111C2×C22⋊C4—794no—
2112C2×C22⋊C4—794no—
2113C2×C22⋊C4—794no—
2114C2×C42—791no—
2115C2×C42—792no—
2116C2×C42—792no—
2117C2×C42—792no—
2118C2×C42—792no—
2119C2×C42—794no—
2120C2×C42—792no—
2121C2×C42—792no—
2122C2×C42—792no—
2123C2×C42—794no—
2124C2×C42—794no—
2125C2×C42C22×D7911yescharacteristic
2126C2×C42C22×D7912yes—
2127C24—794no—
2128C24—792no—
2129C24—792no—
2130C24—791no—
2131#41—24no—
2132#41—24no—
2133#41—24no—
2134#41—84no—
2135#41—798no—
2136#41—6324no—
2137#41—6324no—
2138#41—1588no—
2139#41—1588no—
2140#41—1588no—
2141#41—1588no—
2142#41—1588no—
2143#41—1588no—
2144#41—15816no—
2145#41—1584no—
2146#41—1584no—
2147C2×Q8—82no—
2148C2×Q8—792no—
2149C2×Q8—792no—
2150C2×Q8—794no—
2151C2×Q8—794no—
2152C2×Q8—791no—
2153C2×Q8—794no—
2154C2×Q8—792no—
2155C2×Q8—792no—
2156C2×Q8—792no—
2157C2×Q8—6324no—
2158C2×Q8—1588no—
2159C2×Q8—1588no—
2160C2×Q8—1584no—
2161C2×Q8—1584no—
2162C2×Q8C23×D7911yescharacteristic
2163C2×Q8C23×D7911yescharacteristic
2164C2×Q8C23×D7911yescharacteristic
2165C2×Q8C23×D7914yes—
2166C2×Q8C23×D7914yes—
2167C2×D4—792no—
2168C2×D4—794no—
2169C2×D4—792no—
2170C2×D4—794no—
2171C2×D4—794no—
2172C2×D4—792no—
2173C2×D4—792no—
2174C2×D4—794no—
2175C2×D4—792no—
2176C2×D4—794no—
2177C2×D4—792no—
2178C2×D4—794no—
2179C2×D4—792no—
2180C2×D4—794no—
2181C2×D4—794no—
2182C2×D4—791no—
2183C2×D4—792no—
2184C2×D4—794no—
2185C2×D4—792no—
2186C2×D4—792no—
2187C2×D4—6322no—
2188C2×D4—6324no—
2189C2×D4—1588no—
2190C2×D4—1588no—
2191C2×D4—1588no—
2192C2×D4—1584no—
2193C2×D4—15816no—
2194C2×D4—1584no—
2195C2×D4C23×D7912yes—
2196C2×D4C23×D7912yes—
2197C2×D4C23×D7912yes—
2198C2×D4C23×D7911yescharacteristic
2199C2×D4C23×D7911yescharacteristic
2200C2×D4C23×D7911yescharacteristic
2201C2×D4C23×D7914yes—
2202C2×D4C23×D7914yes—
2203C2×D4C23×D7912yes—
2204C2×D4C23×D7912yes—
2205C22×C4—791no—
2206C22×C4—792no—
2207C22×C4—792no—
2208C22×C4—791no—
2209C22×C4—792no—
2210C22×C4—792no—
2211C22×C4—792no—
2212C22×C4—792no—
2213C22×C4—792no—
2214C22×C4—792no—
2215C22×C4—792no—
2216C22×C4—794no—
2217C22×C4—792no—
2218C22×C4—794no—
2219C22×C4—792no—
2220C22×C4—792no—
2221C22×C4—794no—
2222C22×C4—794no—
2223C22×C4—794no—
2224C22×C4—794no—
2225C22×C4—792no—
2226C22×C4—792no—
2227C22×C4—794no—
2228C22×C4—791no—
2229C22×C4—792no—
2230C22×C4—791no—
2231C22×C4—794no—
2232C22×C4—794no—
2233C22×C4—792no—
2234C22×C4—791no—
2235C22×C4—792no—
2236C22×C4—791no—
2237C22×C4—791no—
2238C22×C4—6322no—
2239C22×C4—6324no—
2240C22×C4—1588no—
2241C22×C4—1584no—
2242C22×C4C23×D7912yes—
2243C22×C4C23×D7912yes—
2244C22×C4C23×D7912yes—
2245C22×C4C23×D7912yes—
2246C22×C4C23×D7914yes—
2247C22×C4C23×D7911yescharacteristic
2248C22×C4C23×D7911yescharacteristic
2249C22×C4C23×D7912yes—
2250C22×C4C23×D7912yes—
2251C22×C4C23×D7912yes—
2252C22×C4C23×D7914yes—
2253C22×C4C23×D7911yescharacteristic
2254C4⋊C4—792no—
2255C4⋊C4—791no—
2256C4⋊C4—791no—
2257C4⋊C4—792no—
2258C4⋊C4—791no—
2259C4⋊C4—791no—
2260C4⋊C4—792no—
2261C4⋊C4—794no—
2262C4⋊C4—794no—
2263C4⋊C4—794no—
2264C4⋊C4—794no—
2265C4⋊C4—794no—
2266C4⋊C4—792no—
2267C4⋊C4—792no—
2268C4⋊C4—792no—
2269C4⋊C4—792no—
2270C4⋊C4—791no—
2271C4⋊C4—791no—
2272C4⋊C4—791no—
2273C4⋊C4—791no—
2274C4⋊C4—794no—
2275C4⋊C4—794no—
2276C4⋊C4—794no—
2277C4⋊C4—794no—
2278C4⋊C4—794no—
2279C4⋊C4—794no—
2280C4⋊C4—792no—
2281C4⋊C4—792no—
2282C4⋊C4—794no—
2283C4⋊C4—792no—
2284C4⋊C4—792no—
2285C4⋊C4—792no—
2286C4⋊C4—794no—
2287C4⋊C4—792no—
2288C4⋊C4—792no—
2289C4⋊C4—794no—
2290C4⋊C4—791no—
2291C4⋊C4—792no—
2292C4⋊C4—791no—
2293C4⋊C4—792no—
2294C4⋊C4—794no—
2295C4⋊C4—792no—
2296C4⋊C4—791no—
2297C4⋊C4—791no—
2298C4⋊C4—792no—
2299C4⋊C4—792no—
2300C4⋊C4—794no—
2301C4⋊C4—791no—
2302C4⋊C4—792no—
2303C4⋊C4—791no—
2304C4⋊C4—792no—
2305C4⋊C4—794no—
2306C4⋊C4—794no—
2307C4⋊C4—792no—
2308C4⋊C4C23×D7911yescharacteristic
2309C4⋊C4C23×D7912yes—
2310C4⋊C4C23×D7914yes—
2311C4⋊C4C23×D7912yes—
2312C4⋊C4C23×D7914yes—
2313C4⋊C4C23×D7914yes—
2314C4⋊C4C23×D7911yescharacteristic
2315C4⋊C4C23×D7912yes—
2316C4⋊C4C23×D7912yes—
2317C4⋊C4C23×D7914yes—
2318C4⋊C4C23×D7912yes—
2319C4⋊C4C23×D7912yes—
2320C4⋊C4C23×D7914yes—
2321C4⋊C4C23×D7912yes—
2322C4⋊C4C23×D7914yes—
2323C4⋊C4C23×D7912yes—
2324C22⋊C4—792no—
2325C22⋊C4—792no—
2326C22⋊C4—792no—
2327C22⋊C4—792no—
2328C22⋊C4—792no—
2329C22⋊C4—792no—
2330C22⋊C4—792no—
2331C22⋊C4—794no—
2332C22⋊C4—794no—
2333C22⋊C4—794no—
2334C22⋊C4—792no—
2335C22⋊C4—792no—
2336C22⋊C4—792no—
2337C22⋊C4—792no—
2338C22⋊C4—794no—
2339C22⋊C4—792no—
2340C22⋊C4—792no—
2341C22⋊C4—792no—
2342C22⋊C4—792no—
2343C22⋊C4—791no—
2344C22⋊C4—792no—
2345C22⋊C4—791no—
2346C22⋊C4—792no—
2347C22⋊C4—791no—
2348C22⋊C4—791no—
2349C22⋊C4—794no—
2350C22⋊C4—794no—
2351C22⋊C4—794no—
2352C22⋊C4—794no—
2353C22⋊C4—794no—
2354C22⋊C4—794no—
2355C22⋊C4—792no—
2356C22⋊C4—794no—
2357C22⋊C4—794no—
2358C22⋊C4—794no—
2359C22⋊C4—792no—
2360C22⋊C4—792no—
2361C22⋊C4—791no—
2362C22⋊C4—791no—
2363C22⋊C4—791no—
2364C22⋊C4—791no—
2365C22⋊C4—794no—
2366C22⋊C4—794no—
2367C22⋊C4—794no—
2368C22⋊C4—794no—
2369C22⋊C4—794no—
2370C22⋊C4—794no—
2371C22⋊C4—794no—
2372C22⋊C4—794no—
2373C22⋊C4—794no—
2374C22⋊C4—792no—
2375C22⋊C4—792no—
2376C22⋊C4—792no—
2377C22⋊C4C23×D7912yes—
2378C22⋊C4C23×D7914yes—
2379C22⋊C4C23×D7912yes—
2380C22⋊C4C23×D7912yes—
2381C22⋊C4C23×D7912yes—
2382C22⋊C4C23×D7912yes—
2383C22⋊C4C23×D7914yes—
2384C22⋊C4C23×D7914yes—
2385C22⋊C4C23×D7914yes—
2386C22⋊C4C23×D7914yes—
2387C22⋊C4C23×D7912yes—
2388C22⋊C4C23×D7912yes—
2389C22⋊C4C23×D7914yes—
2390C42—792no—
2391C42—792no—
2392C42—791no—
2393C42—791no—
2394C42—791no—
2395C42—791no—
2396C42—792no—
2397C42—792no—
2398C42—794no—
2399C42—792no—
2400C42—792no—
2401C42—792no—
2402C42—792no—
2403C42—792no—
2404C42—794no—
2405C42—794no—
2406C42—792no—
2407C42—794no—
2408C42—792no—
2409C42—794no—
2410C42—792no—
2411C42—792no—
2412C42—792no—
2413C42—794no—
2414C42—792no—
2415C42C23×D7912yes—
2416C42C23×D7911yescharacteristic
2417C42C23×D7914yes—
2418C42C23×D7914yes—
2419C42C23×D7911yescharacteristic
2420C42C23×D7912yes—
2421C42C23×D7912yes—
2422C42C23×D7911yescharacteristic
2423C42C23×D7911yescharacteristic
2424C23—3162no—
2425C23—3164no—
2426C23—3161no—
2427C23—3162no—
2428C23—3161no—
2429C23—3162no—
2430C23—3162no—
2431C23—3164no—
2432C23—792no—
2433C23—791no—
2434C23—794no—
2435C23—791no—
2436C23—1584no—
2437C23—1588no—
2438C23—1582no—
2439C23—1584no—
2440C23C24×D7912yes—
2441C23C24×D7912yes—
2442C23C24×D7912yes—
2443C23C24×D7911yescharacteristic
2444Q8—22no—
2445Q8—22no—
2446Q8—22no—
2447Q8—44no—
2448Q8—44no—
2449Q8—3162no—
2450Q8—3164no—
2451Q8—3164no—
2452Q8—3162no—
2453Q8—794no—
2454Q8—1588no—
2455Q8—1584no—
2456Q8—1584no—
2457Q8—1584no—
2458D4—24no—
2459D4—24no—
2460D4—24no—
2461D4—22no—
2462D4—22no—
2463D4—22no—
2464D4—44no—
2465D4—42no—
2466D4—42no—
2467D4—44no—
2468D4—3164no—
2469D4—3164no—
2470D4—3164no—
2471D4—3162no—
2472D4—3164no—
2473D4—3162no—
2474D4—3162no—
2475D4—3164no—
2476D4—3162no—
2477D4—3164no—
2478D4—798no—
2479D4—794no—
2480D4—1588no—
2481D4—1584no—
2482D4—1588no—
2483D4—1584no—
2484D4—1584no—
2485D4—1588no—
2486D4—1584no—
2487D4—1584no—
2488C2×C4—24no—
2489C2×C4—24no—
2490C2×C4—24no—
2491C2×C4—42no—
2492C2×C4—44no—
2493C2×C4—42no—
2494C2×C4—41no—
2495C2×C4—42no—
2496C2×C4—41no—
2497C2×C4—42no—
2498C2×C4—44no—
2499C2×C4—3162no—
2500C2×C4—3164no—
2501C2×C4—3164no—
2502C2×C4—3164no—
2503C2×C4—3164no—
2504C2×C4—3164no—
2505C2×C4—3162no—
2506C2×C4—3162no—
2507C2×C4—3162no—
2508C2×C4—3162no—
2509C2×C4—3164no—
2510C2×C4—3162no—
2511C2×C4—3161no—
2512C2×C4—3162no—
2513C2×C4—3162no—
2514C2×C4—3162no—
2515C2×C4—3161no—
2516C2×C4—3162no—
2517C2×C4—3162no—
2518C2×C4—3162no—
2519C2×C4—792no—
2520C2×C4—798no—
2521C2×C4—791no—
2522C2×C4—791no—
2523C2×C4—792no—
2524C2×C4—791no—
2525C2×C4—791no—
2526C2×C4—792no—
2527C2×C4—794no—
2528C2×C4—792no—
2529C2×C4—791no—
2530C2×C4—792no—
2531C2×C4—792no—
2532C2×C4—792no—
2533C2×C4—791no—
2534C2×C4—1584no—
2535C2×C4—1588no—
2536C2×C4—1584no—
2537C2×C4—1588no—
2538C2×C4—1584no—
2539C2×C4—1588no—
2540C2×C4—1582no—
2541C2×C4—1584no—
2542C2×C4—1582no—
2543C2×C4—1582no—
2544C2×C4—1582no—
2545C2×C4—1582no—
2546C2×C4#41×D7914yes—
2547C2×C4C24×D7912yes—
2548C2×C4C24×D7912yes—
2549C2×C4C24×D7914yes—
2550C2×C4C24×D7911yescharacteristic
2551C2×C4C24×D7911yescharacteristic
2552C2×C4C24×D7912yes—
2553C2×C4C24×D7912yes—
2554C2×C4C24×D7912yes—
2555C2×C4C24×D7914yes—
2556C2×C4C24×D7911yescharacteristic
2557C2×C4C24×D7911yescharacteristic
2558C2×C4C24×D7911yescharacteristic
2559C2×C4C24×D7911yescharacteristic
2560C22—21no—
2561C22—21no—
2562C22—22no—
2563C22—22no—
2564C22—22no—
2565C22—22no—
2566C22—22no—
2567C22—22no—
2568C22—22no—
2569C22—22no—
2570C22—22no—
2571C22—794no—
2572C22—6322no—
2573C22—6324no—
2574C22—6328no—
2575C22—6324no—
2576C22—1581no—
2577C22—1581no—
2578C22—1584no—
2579C22—1584no—
2580C22—1581no—
2581C22—1581no—
2582C22—1581no—
2583C22—1584no—
2584C22—1581no—
2585C22—1582no—
2586C22—1582no—
2587C22C2×#41×D7912yes—
2588C22C25×D7911yescharacteristic
2589C4—22no—
2590C4—22no—
2591C4—22no—
2592C4—22no—
2593C4—21no—
2594C4—24no—
2595C4—24no—
2596C4—21no—
2597C4—21no—
2598C4—22no—
2599C4—21no—
2600C4—794no—
2601C4—1581no—
2602C4—1581no—
2603C4—1584no—
2604C4—1581no—
2605C4—1581no—
2606C4—1582no—
2607C4—1582no—
2608C4—1582no—
2609C4—1581no—
2610C4—1581no—
2611C4—1582no—
2612C4—1582no—
2613C4—1582no—
2614C4C2×#41×D7912yes—
2615C4C2×#41×D7912yes—
2616C2—22no—
2617C2—42no—
2618C2—42no—
2619C2—42no—
2620C2—3161no—
2621C2—3164no—
2622C2—3161no—
2623C2—1584no—
2624C2C22×#41×D7911yescharacteristic
2625C2#2377821011yescharacteristic
2626C2#2377821211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3511C2
hypercenter#3511D79
hypocenterC79#62857
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3511

Complements

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

NH ≅ G/Ntype
1. #23777500C2semidirect
2. #23777478C2semidirect
3. #23777473C2semidirect
4. #23777459C2semidirect
5. #23777445C2semidirect
6. #23777442C2semidirect
7. #23777410C2semidirect
8. #23777390C2semidirect
9. #23777357C2semidirect
10. #23777354C2semidirect
11. #23777335C2semidirect
12. #23777331C2semidirect
13. #23777305C2semidirect
14. #23777296C2semidirect
15. #23777292C2semidirect
16. #23777216C2semidirect
17. #23777187C2semidirect
18. #23777153C2semidirect
19. #23777147C2semidirect
20. #23777136C2semidirect
21. #23777130C2semidirect
22. #23777075C2semidirect
23. #23777064C2semidirect
24. #23776831C2semidirect
25. #23776828C2semidirect
26. #23776817C2semidirect
27. #23776814C2semidirect
28. #23776789C2semidirect
29. #23776787C2semidirect
30. C2×#19099187C2semidirect
31. #542×D79C2semidirect
32. #23776611C2semidirect
33. #23776606C2semidirect
34. #23776599C2semidirect
35. C79×#3511C2semidirect
39. #19099297C22semidirect
40. #19099296C22semidirect
41. #19099296C22semidirect
42. #19099295C22semidirect
43. #19099293C22semidirect
44. #19099288C22semidirect
45. #19099285C22semidirect
46. #19099285C22semidirect
47. #19099285C22semidirect
48. #19099284C22semidirect
49. #19099281C22semidirect
50. #19099280C22semidirect
51. #19099280C22semidirect
52. #19099276C22semidirect
53. #19099275C22semidirect
54. #19099275C22semidirect
55. #19099274C22semidirect
56. #19099268C22semidirect
57. #19099268C22semidirect
58. #19099267C22semidirect
59. #19099267C22semidirect
60. #19099264C22semidirect
61. #19099262C22semidirect
62. #19099261C22semidirect
63. #19099258C22semidirect
64. #19099257C22semidirect
65. #19099256C22semidirect
66. #19099254C22semidirect
67. #19099253C22semidirect
68. #19099252C22semidirect
69. #19099248C22semidirect
70. #19099246C22semidirect
71. #19099245C22semidirect
72. #19099245C22semidirect
73. #19099243C22semidirect
74. #19099243C22semidirect
75. #19099242C22semidirect
76. #19099242C22semidirect
77. #19099242C22semidirect
78. #19099242C22semidirect
79. #19099242C22semidirect
80. #19099240C22semidirect
81. #19099240C22semidirect
82. #19099238C22semidirect
83. #19099237C22semidirect
84. #19099236C22semidirect
86. #19099228C22semidirect
87. Q8×C22⋊D79C22semidirect
88. #19099226C22semidirect
90. #19099223C22semidirect
91. #19099222C22semidirect
92. #19099222C22semidirect
93. #19099221C22semidirect
94. #19099219C22semidirect
95. #19099215C22semidirect
96. #19099214C22semidirect
97. #19099213C22semidirect
98. #19099212C22semidirect
99. #19099211C22semidirect
100. #19099210C22semidirect
101. #19099209C22semidirect
102. #19099209C22semidirect
103. #19099209C22semidirect
106. #19099202C22semidirect
107. #19099202C22semidirect
108. #19099202C22semidirect
109. #19099202C22semidirect
110. #19099201C22semidirect
113. #19099194C22semidirect
114. #19099194C22semidirect
115. #19099190C22semidirect
116. #19099190C22semidirect
117. #19099187C22semidirect
118. #19099187C22semidirect
119. #19099187C22semidirect
120. #19099187C22semidirect
121. #19099187C22semidirect
122. #19099187C22semidirect
123. #19099187C22semidirect
124. #19099187C22semidirect
125. #19099186C22semidirect
126. #19099186C22semidirect
127. #19099185C22semidirect
128. #19099184C22semidirect
129. #19099184C22semidirect
130. #19099183C22semidirect
131. #19099183C22semidirect
132. #19099182C22semidirect
133. #19099182C22semidirect
134. #19099182C22semidirect
135. #19099182C22semidirect
136. #19099181C22semidirect
137. #19099180C22semidirect
138. #19099180C22semidirect
139. #19099179C22semidirect
140. #19099178C22semidirect
141. #19099177C22semidirect
142. #19099177C22semidirect
143. #19099174C22semidirect
144. #19099174C22semidirect
145. #19099173C22semidirect
146. #19099173C22semidirect
147. #19099172C22semidirect
148. #19099171C22semidirect
149. #19099167C22semidirect
150. #19099167C22semidirect
151. #19099166C22semidirect
152. #19099166C22semidirect
153. #19099164C22semidirect
154. #19099163C22semidirect
155. #19099161C22semidirect
156. #19099159C22semidirect
157. #19099159C22semidirect
158. #19099158C22semidirect
159. #19099158C22semidirect
160. #19099158C22semidirect
161. #19099154C22semidirect
162. #19099150C22semidirect
163. #19099150C22semidirect
164. #19099150C22semidirect
165. #19099149C22semidirect
166. #19099147C22semidirect
167. #19099147C22semidirect
168. #19099145C22semidirect
170. #19099142C22semidirect
171. #19099138C22semidirect
172. #19099136C22semidirect
173. #19099134C22semidirect
174. #19099134C22semidirect
177. #19099127C22semidirect
178. #19099126C22semidirect
179. #19099120C22semidirect
180. #19099118C22semidirect
181. #19099117C22semidirect
182. #19099117C22semidirect
183. #19099115C22semidirect
184. #19099115C22semidirect
185. #19099112C22semidirect
186. #19099110C22semidirect
187. #19099109C22semidirect
188. #19099108C22semidirect
189. #19099108C22semidirect
190. C4⋊Q8×D79C22semidirect
191. #19099100C22semidirect
192. #19099100C22semidirect
193. #19099099C22semidirect
194. #19099099C22semidirect
195. #19099099C22semidirect
196. #19099097C22semidirect
197. #19099097C22semidirect
198. #19099096C22semidirect
199. #19099095C22semidirect
200. #19099094C22semidirect
201. #19099094C22semidirect
202. #19099094C22semidirect
203. #19099093C22semidirect
204. #19099093C22semidirect
205. #19099093C22semidirect
206. #19099093C22semidirect
207. #19099093C22semidirect
208. #19099092C22semidirect
209. #19099091C22semidirect
210. #19099091C22semidirect
211. #19099090C22semidirect
212. C2×#14579156C22semidirect
213. #126×D79C22semidirect
214. C2×#14579150C22semidirect
215. C2×#14579149C22semidirect
216. #124×D79C22semidirect
217. #124×D79C22semidirect
219. #19099073C22semidirect
220. #19099073C22semidirect
221. #19099072C22semidirect
223. #19099070C22semidirect
224. #19099070C22semidirect
225. C2×#14579146C22semidirect
226. #123×D79C22semidirect
227. C2×#14579141C22semidirect
228. C2×#14579137C22semidirect
229. C22⋊Q8×D79C22semidirect
230. C22⋊Q8×D79C22semidirect
233. #19099045C22semidirect
234. #19099045C22semidirect
235. #19099045C22semidirect
238. #19099044C22semidirect
239. #19099044C22semidirect
240. #19099042C22semidirect
241. #19099042C22semidirect
242. #19099042C22semidirect
243. #19099042C22semidirect
244. #19099042C22semidirect
245. #19099042C22semidirect
246. #19099040C22semidirect
247. #19099040C22semidirect
248. #19099039C22semidirect
249. #19099039C22semidirect
250. #19099039C22semidirect
251. #19099037C22semidirect
252. #19099037C22semidirect
253. #19099035C22semidirect
254. #19099035C22semidirect
255. #19099035C22semidirect
256. #19099035C22semidirect
257. #19099035C22semidirect
258. #19099035C22semidirect
259. #41×Dic79C22semidirect
260. #41×Dic79C22semidirect
261. #41×Dic79C22semidirect
262. C4×#11929625C22semidirect
264. C4×#11929624C22semidirect
266. #19099031C22semidirect
267. #19099031C22semidirect
268. #19099031C22semidirect
269. C4×#11929623C22semidirect
270. C4×#11929623C22semidirect
271. C2×#14579126C22semidirect
272. C2×#14579126C22semidirect
273. C4×Q8×D79C22semidirect
274. C2×#14579123C22semidirect
275. C2×#14579123C22semidirect
276. C4×D4×D79C22semidirect
277. C4×D4×D79C22semidirect
278. C2×#14579118C22semidirect
279. C2×#14579118C22semidirect
280. #117×D79C22semidirect
281. #117×D79C22semidirect
282. #556×C79C22semidirect
283. #555×C79C22semidirect
284. #554×C79C22semidirect
285. #553×C79C22semidirect
286. #548×C79C22semidirect
287. #547×C79C22semidirect
288. #542×C79C22semidirect
289. #542×C79C22semidirect
291. #537×C79C22semidirect
292. #533×C79C22semidirect
293. #532×C79C22semidirect
294. #532×C79C22semidirect
295. C2×C4⋊Q8×C79C22semidirect
296. #520×C79C22semidirect
297. #520×C79C22semidirect
298. C4×#41×C79C22semidirect
823. #11929624#41semidirect
1327. #3511D79semidirect
1349. C79#62857semidirect
1366. #556C2×D79semidirect
1370. #555C2×D79semidirect
1376. #554C2×D79semidirect
1383. #553C2×D79semidirect
1413. #548C2×D79semidirect
1419. #547C2×D79semidirect
1463. #542C2×D79semidirect
1464. #542C2×D79semidirect
1494. #537C2×D79semidirect
1509. #533C2×D79semidirect
1515. #532C2×D79semidirect
1516. #532C2×D79semidirect
1518. C2×C4⋊Q8C2×D79semidirect
1574. #520C2×D79semidirect
1575. #520C2×D79semidirect
1601. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237775002
#237774782
#237774732
#237774592
#237774452
#237774422
#237774102
#237773902
#237773572
#237773542
#237773352
#237773312
#237773052
#237772962
#237772922
#237772162
#237771872
#237771532
#237771472
#237771362
#237771302
#237770752
#237770642
#237768312
#237768282
#237768172
#237768142
#237767892
#237767872
C2×#190991872
#542×D792
#237766112
#237766062
#237765992
C79×#35112
#6285779