Finite Group Databasebeta

← #35197171

Subgroups — #35197171

Order 20224.

7900 conjugacy classes of subgroups.

The subgroup lattice has 2554 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777923C211yesmaximal, characteristic, complemented
2#23777922C212yesmaximal, complemented
3#23777919C211yesmaximal, characteristic, complemented
4#23777916C211yesmaximal, characteristic, complemented
5#23777913C212yesmaximal, complemented
6#23777804C212yesmaximal, complemented
7#23777796C212yesmaximal, complemented
8#23777769C212yesmaximal, complemented
9#23777765C214yesmaximal, complemented
10#23777761C212yesmaximal, complemented
11#23777637C212yesmaximal, complemented
12#23777632C212yesmaximal, complemented
13#23777424C214yesmaximal, complemented
14#23777421C214yesmaximal, complemented
15#23777306C212yesmaximal, complemented
16#23777305C212yesmaximal, complemented
17#23777273C212yesmaximal, complemented
18#23777268C212yesmaximal, complemented
19#23777248C212yesmaximal, complemented
20#23777247C212yesmaximal, complemented
21#23777175C212yesmaximal, complemented
22#23777172C212yesmaximal, complemented
23#23777161C212yesmaximal, complemented
24#23777160C212yesmaximal, complemented
25#23777066C212yesmaximal, complemented
26#23777063C214yesmaximal, complemented
27#23777060C212yesmaximal, complemented
28#23776694C211yesmaximal, characteristic, complemented
29C2×#19099112C211yesmaximal, characteristic, complemented
30#532×D79C211yesmaximal, characteristic, complemented
31C79×#3558C211yesmaximal, characteristic, complemented
32C2×#14579207C2212yescomplemented
33C2×#14579206C2212yescomplemented
34C2×#14579206C2214yescomplemented
35C22×#11929625C2211yescharacteristic, complemented
36C22×#11929623C2211yescharacteristic, complemented
37C2×#41×D79C2212yescomplemented
38#19099311C2212yescomplemented
39#19099307C2212yescomplemented
40#19099307C2212yescomplemented
41#19099305C2212yescomplemented
42#19099305C2212yescomplemented
43#19099305C2212yescomplemented
44#19099304C2214yescomplemented
45#19099303C2214yescomplemented
46#19099302C2214yescomplemented
47#19099301C2214yescomplemented
48#19099298C2212yescomplemented
49#19099297C2214yescomplemented
50#19099296C2212yescomplemented
51#19099295C2214yescomplemented
52#19099295C2212yescomplemented
53#19099285C2212yescomplemented
54#19099282C2212yescomplemented
55#19099280C2214yescomplemented
56#19099275C2214yescomplemented
57#19099275C2214yescomplemented
58#19099275C2214yescomplemented
59#19099267C2214yescomplemented
60#19099267C2214yescomplemented
61#19099264C2214yescomplemented
62#19099264C2214yescomplemented
63#19099262C2214yescomplemented
64#19099262C2214yescomplemented
65#19099258C2214yescomplemented
66#19099258C2214yescomplemented
67#19099256C2214yescomplemented
68#19099256C2214yescomplemented
69#19099235C2212yescomplemented
70#19099234C2214yescomplemented
71#19099234C2212yescomplemented
72#19099233C2212yescomplemented
73#19099233C2212yescomplemented
74#19099232C2212yescomplemented
75#19099231C2214yescomplemented
76#19099231C2214yescomplemented
77#19099231C2212yescomplemented
78#19099231C2214yescomplemented
79#19099231C2214yescomplemented
80#19099224C2212yescomplemented
81#19099223C2214yescomplemented
82#19099222C2212yescomplemented
83#19099221C2214yescomplemented
84#19099219C2212yescomplemented
85#19099215C2212yescomplemented
86#19099212C2212yescomplemented
87#19099211C2214yescomplemented
88#19099211C2214yescomplemented
89#19099211C2214yescomplemented
90#19099209C2212yescomplemented
91#19099208C2212yescomplemented
92#19099208C2212yescomplemented
93#19099207C2212yescomplemented
94#19099206C2214yescomplemented
95#19099206C2212yescomplemented
96#19099206C2212yescomplemented
97#19099205C2214yescomplemented
98#19099205C2214yescomplemented
99#19099205C2214yescomplemented
100#19099205C2214yescomplemented
101#19099204C2214yescomplemented
102#19099204C2212yescomplemented
103#19099203C2214yescomplemented
104#19099203C2214yescomplemented
105#19099203C2214yescomplemented
106#19099202C2214yescomplemented
107#19099202C2214yescomplemented
108#19099201C2214yescomplemented
109#19099200C2214yescomplemented
110#19099200C2214yescomplemented
111#19099200C2214yescomplemented
112D4×D316C2214yescomplemented
113D4×D316C2212yescomplemented
114#19099197C2214yescomplemented
115#19099197C2214yescomplemented
116#19099197C2212yescomplemented
117#19099197C2214yescomplemented
118#19099197C2212yescomplemented
119D4×C22⋊D79C2214yescomplemented
120D4×C22⋊D79C2212yescomplemented
121D4×C22⋊D79C2214yescomplemented
122D4×C22⋊D79C2212yescomplemented
123#19099195C2214yescomplemented
124#19099195C2214yescomplemented
125#19099195C2214yescomplemented
126#19099195C2214yescomplemented
127#19099195C2214yescomplemented
128#19099195C2214yescomplemented
129#19099195C2214yescomplemented
130#19099195C2214yescomplemented
131#19099187C2212yescomplemented
132#19099184C2212yescomplemented
133#19099183C2214yescomplemented
134#19099182C2212yescomplemented
135#19099177C2214yescomplemented
136#19099165C2214yescomplemented
137#19099165C2214yescomplemented
138#19099165C2214yescomplemented
139#19099163C2214yescomplemented
140#19099153C2212yescomplemented
141#19099153C2214yescomplemented
142#19099152C2214yescomplemented
143#19099151C2212yescomplemented
144#19099150C2212yescomplemented
145#19099149C2214yescomplemented
146#19099148C2214yescomplemented
147#19099147C2214yescomplemented
148#19099147C2214yescomplemented
149#19099147C2214yescomplemented
150#19099146C2214yescomplemented
151#19099145C2214yescomplemented
152#19099143C2214yescomplemented
153#19099143C2214yescomplemented
154#19099143C2212yescomplemented
155#19099142C2212yescomplemented
156#19099140C2214yescomplemented
157#19099140C2214yescomplemented
158#19099140C2214yescomplemented
159#19099132C2212yescomplemented
160#19099131C2214yescomplemented
161#19099131C2214yescomplemented
162#19099131C2214yescomplemented
163#19099131C2212yescomplemented
164#19099131C2212yescomplemented
165#19099129C2214yescomplemented
166#19099128C2214yescomplemented
167#19099128C2214yescomplemented
168#19099128C2214yescomplemented
169#19099128C2214yescomplemented
170#19099128C2214yescomplemented
171#19099126C2212yescomplemented
172#19099126C2212yescomplemented
173#19099125C2212yescomplemented
174#19099124C2214yescomplemented
175#19099123C2214yescomplemented
176#19099121C2212yescomplemented
177#19099121C2212yescomplemented
178#19099119C2211yescharacteristic, complemented
179#19099117C2212yescomplemented
180#19099117C2211yescharacteristic, complemented
181#19099115C2212yescomplemented
182#19099115C2211yescharacteristic, complemented
183#19099114C2211yescharacteristic, complemented
184#19099113C2211yescharacteristic, complemented
185#19099112C2212yescomplemented
186#19099112C2212yescomplemented
187#19099112C2211yescharacteristic, complemented
188#19099112C2212yescomplemented
189#19099112C2212yescomplemented
190#19099112C2212yescomplemented
191#19099112C2212yescomplemented
192#19099112C2212yescomplemented
193#19099112C2212yescomplemented
194#19099112C2212yescomplemented
195#19099112C2212yescomplemented
196#19099111C2211yescharacteristic, complemented
197#19099110C2212yescomplemented
198#19099110C2211yescharacteristic, complemented
199#19099110C2212yescomplemented
200#19099110C2212yescomplemented
201#19099109C2212yescomplemented
202#19099109C2212yescomplemented
203#19099108C2212yescomplemented
204#19099108C2212yescomplemented
205#19099108C2211yescharacteristic, complemented
206#19099108C2212yescomplemented
207C2×#14579159C2211yescharacteristic, complemented
208C4⋊Q8×D79C2211yescharacteristic, complemented
209C2×#14579157C2211yescharacteristic, complemented
210C2×#14579157C2212yescomplemented
211#127×D79C2212yescomplemented
212#127×D79C2211yescharacteristic, complemented
213#19099098C2211yescharacteristic, complemented
214#19099097C2211yescharacteristic, complemented
215#19099096C2212yescomplemented
216#19099096C2212yescomplemented
217#19099092C2211yescharacteristic, complemented
218#19099091C2212yescomplemented
219#19099090C2212yescomplemented
220C2×#14579149C2211yescharacteristic, complemented
221#124×D79C2212yescomplemented
222#19099076C2211yescharacteristic, complemented
223#19099073C2211yescharacteristic, complemented
224#19099072C2212yescomplemented
225#19099072C2214yescomplemented
226#19099072C2214yescomplemented
227#19099071C2212yescomplemented
228#19099071C2214yescomplemented
229#19099069C2214yescomplemented
230C2×#14579134C2212yescomplemented
231C2×#14579134C2214yescomplemented
232C2×#14579134C2212yescomplemented
233C2×#14579133C2214yescomplemented
234#121×D79C2212yescomplemented
235#121×D79C2214yescomplemented
236#121×D79C2214yescomplemented
237#121×D79C2212yescomplemented
238#19099045C2212yescomplemented
239#19099042C2212yescomplemented
240#19099042C2214yescomplemented
241#19099036C2214yescomplemented
242#19099035C2214yescomplemented
243C4×#11929625C2211yescharacteristic, complemented
244#19099031C2212yescomplemented
245C4×#11929623C2212yescomplemented
246C4×#11929623C2211yescharacteristic, complemented
247C2×(C22⋊D79)⋊C4C2212yescomplemented
248C2×(C22⋊D79)⋊C4C2212yescomplemented
249C4×D4×D79C2212yescomplemented
250C4×D4×D79C2212yescomplemented
251C2×C42×D79C2211yescharacteristic, complemented
252#562×C79C2212yescomplemented
253H(3,𝔽4)×C79C2212yescomplemented
254#559×C79C2212yescomplemented
255#548×C79C2212yescomplemented
256#546×C79C2214yescomplemented
257#546×C79C2212yescomplemented
258D42×C79C2212yescomplemented
259#542×C79C2212yescomplemented
260#538×C79C2212yescomplemented
261#538×C79C2214yescomplemented
262#535×C79C2212yescomplemented
263#534×C79C2212yescomplemented
264#532×C79C2211yescharacteristic, complemented
265#529×C79C2211yescharacteristic, complemented
266C2×#124×C79C2211yescharacteristic, complemented
267#14579207—48no—
268#14579206—48no—
269#14579206—416no—
270C2×#11929625—44no—
271C2×#11929625C2312yes—
272C2×#11929625C2312yes—
273C2×#11929625C2312yes—
274C2×#11929625C2312yes—
275C2×#11929625C2312yes—
276C2×#11929625C2312yes—
277C2×#11929625C2311yescharacteristic
278C2×#11929624C2312yes—
279C2×#11929624C2314yes—
280C2×#11929624C2314yes—
281C2×#11929624C2312yes—
282C2×#11929624C2314yes—
283C2×#11929624C2312yes—
284C2×#11929624C2314yes—
285C2×#11929623—44no—
286C2×#11929623C2312yes—
287C2×#11929623C2314yes—
288C2×#11929623C2312yes—
289C2×#11929623C2314yes—
290C2×#11929623C2314yes—
291C2×#11929623C2314yes—
292C2×#11929623C2312yes—
293C2×#11929623C2312yes—
294C2×#11929623C2312yes—
295C2×#11929623C2312yes—
296C2×#11929623C2312yes—
297C2×#11929623C2311yescharacteristic
298#41×D79—48no—
299C22×Dic158C2311yescharacteristic
300C2×Q8×D79C2312yes—
301C22×D316C2314yes—
302C22×D316C2312yes—
303C22×D316C2312yes—
304C22×D316C2311yescharacteristic
305C22×C22⋊D79C2312yes—
306C22×C22⋊D79C2314yes—
307C22×C22⋊D79C2314yes—
308C22×C22⋊D79C2314yes—
309C22×C22⋊D79C2314yes—
310C22×C22⋊D79C2314yes—
311C22×C22⋊D79C2314yes—
312C22×C22⋊D79C2312yes—
313C22×C22⋊D79C2312yes—
314C2×D4×D79C2312yes—
315C2×D4×D79C2314yes—
316C2×D4×D79C2314yes—
317C2×D4×D79C2314yes—
318C2×D4×D79C2314yes—
319C2×D4×D79C2314yes—
320C2×D4×D79C2312yes—
321C2×D4×D79C2314yes—
322C2×D4×D79C2314yes—
323C2×D4×D79C2312yes—
324C2×D4×D79C2314yes—
325C2×D4×D79C2312yes—
326C2×D4×D79C2312yes—
327C2×D4×D79C2314yes—
328C23×Dic79C2312yes—
329C22×C4×D79C2311yescharacteristic
330C22×C4×D79C2311yescharacteristic
331C22×C4×D79C2311yescharacteristic
332C22×C4×D79C2314yes—
333C22×C4×D79C2312yes—
334#14579161C2311yescharacteristic
335#14579160C2311yescharacteristic
336#14579160C2311yescharacteristic
337#14579160C2312yes—
338#14579160C2312yes—
339#14579159C2312yes—
340#14579159C2312yes—
341#14579159C2312yes—
342#14579159C2312yes—
343#14579159C2311yescharacteristic
344#14579159C2312yes—
345#14579158C2312yes—
346#14579158C2314yes—
347#14579158C2311yescharacteristic
348#14579157C2314yes—
349#14579157C2314yes—
350#14579157C2311yescharacteristic
351#14579157C2312yes—
352#14579157C2312yes—
353#14579157C2312yes—
354#14579157C2314yes—
355#14579157C2314yes—
356#14579157C2312yes—
357#14579157C2314yes—
358#14579157C2312yes—
359#14579157C2314yes—
360#14579157C2314yes—
361#14579157C2312yes—
362#14579157C2312yes—
363#14579157C2312yes—
364#14579157C2312yes—
365#14579156C2312yes—
366#14579156C2314yes—
367#14579156C2314yes—
368#14579156C2314yes—
369#14579155C2312yes—
370#14579155C2314yes—
371#14579154C2314yes—
372#14579154C2312yes—
373#14579154C2314yes—
374#14579154C2314yes—
375#14579153C2311yescharacteristic
376#14579151C2314yes—
377#14579151C2314yes—
378#14579151C2312yes—
379#14579151C2312yes—
380#14579150C2312yes—
381#14579150C2314yes—
382#14579150C2314yes—
383#14579150C2314yes—
384#14579150C2312yes—
385#14579149C2312yes—
386#14579149C2312yes—
387#14579149C2312yes—
388#14579149C2312yes—
389#14579149C2311yescharacteristic
390#14579149C2312yes—
391#14579149C2312yes—
392#14579148C2312yes—
393#14579148C2312yes—
394#14579147C2314yes—
395#14579147C2314yes—
396#14579147C2314yes—
397#14579147C2314yes—
398#14579147C2314yes—
399#14579147C2314yes—
400#14579147C2314yes—
401#14579147C2312yes—
402#14579147C2314yes—
403#14579147C2312yes—
404#14579147C2314yes—
405#14579147C2314yes—
406#14579146C2314yes—
407#14579146C2314yes—
408#14579146C2314yes—
409#14579146C2314yes—
410#14579146C2314yes—
411#14579146C2314yes—
412#14579146C2312yes—
413#14579146C2312yes—
414#14579145C2314yes—
415#14579145C2314yes—
416#14579145C2314yes—
417#14579145C2314yes—
418#14579144C2314yes—
419#14579144C2314yes—
420#14579144C2312yes—
421#14579143C2314yes—
422#14579143C2314yes—
423#14579143C2314yes—
424#14579143C2314yes—
425#14579143C2314yes—
426#14579143C2314yes—
427#14579143C2312yes—
428#14579143C2312yes—
429#14579142C2314yes—
430#14579142C2314yes—
431#14579141C2312yes—
432#14579141C2311yescharacteristic
433#14579140C2312yes—
434#14579140C2311yescharacteristic
435#14579139C2312yes—
436#14579139C2312yes—
437#14579139C2314yes—
438#14579139C2314yes—
439#14579139C2314yes—
440#14579139C2314yes—
441#14579139C2314yes—
442#14579139C2312yes—
443#14579138C2314yes—
444#14579138C2314yes—
445#14579138C2314yes—
446#14579138C2314yes—
447#14579138C2314yes—
448#14579138C2312yes—
449#14579137C2314yes—
450#14579137C2314yes—
451#14579137C2312yes—
452#14579137C2311yescharacteristic
453#14579136C2314yes—
454#14579136C2314yes—
455#14579136C2314yes—
456#14579136C2314yes—
457#14579136C2312yes—
458#14579136C2314yes—
459#14579136C2314yes—
460#14579136C2314yes—
461#14579136C2312yes—
462#14579136C2312yes—
463#14579136C2311yescharacteristic
464#14579135C2314yes—
465#14579135C2314yes—
466#14579135C2314yes—
467#14579135C2312yes—
468#14579135C2314yes—
469#14579135C2314yes—
470#14579135C2312yes—
471#14579135C2312yes—
472#14579135C2311yescharacteristic
473#14579134C2314yes—
474#14579134C2314yes—
475#14579134C2314yes—
476#14579134C2314yes—
477#14579134C2314yes—
478#14579134C2314yes—
479#14579134C2314yes—
480#14579134C2314yes—
481#14579134C2314yes—
482#14579134C2314yes—
483#14579134C2314yes—
484#14579134C2314yes—
485#14579134C2314yes—
486#14579134C2314yes—
487#14579134C2314yes—
488#14579134C2314yes—
489#14579134C2314yes—
490#14579134C2314yes—
491#14579134C2314yes—
492#14579134C2314yes—
493#14579134C2314yes—
494#14579134C2314yes—
495#14579134C2314yes—
496#14579134C2314yes—
497#14579134C2314yes—
498#14579134C2314yes—
499#14579134C2314yes—
500#14579134C2314yes—
501#14579134C2312yes—
502#14579134C2314yes—
503#14579134C2312yes—
504#14579134C2312yes—
505#14579133C2314yes—
506#14579133C2314yes—
507#14579133C2314yes—
508#14579133C2314yes—
509#14579133C2314yes—
510#14579133C2314yes—
511#14579133C2314yes—
512#14579133C2314yes—
513#14579133C2314yes—
514#14579133C2314yes—
515#14579133C2314yes—
516#14579133C2314yes—
517#14579133C2314yes—
518#14579133C2314yes—
519#14579133C2314yes—
520#14579133C2314yes—
521#14579133C2314yes—
522#14579133C2314yes—
523#14579133C2314yes—
524#14579133C2314yes—
525#14579133C2312yes—
526#14579133C2314yes—
527#14579132C2312yes—
528#14579132C2314yes—
529#14579132C2314yes—
530#14579132C2314yes—
531#14579132C2312yes—
532#14579132C2312yes—
533#14579132C2311yescharacteristic
534#14579131C2314yes—
535#14579131C2314yes—
536#14579131C2314yes—
537#14579131C2314yes—
538#14579131C2314yes—
539#14579131C2314yes—
540#14579131C2314yes—
541#14579131C2314yes—
542#14579131C2314yes—
543#14579131C2314yes—
544#14579131C2312yes—
545#14579131C2314yes—
546#14579131C2314yes—
547#14579131C2314yes—
548#14579131C2314yes—
549#14579131C2314yes—
550#14579130C2314yes—
551#14579130C2314yes—
552#14579130C2314yes—
553#14579129C2314yes—
554#14579129C2314yes—
555#14579129C2314yes—
556#14579129C2314yes—
557#14579129C2314yes—
558#14579129C2314yes—
559#14579129C2314yes—
560#14579129C2314yes—
561#14579129C2314yes—
562#14579129C2312yes—
563Q8×Dic79C2312yes—
564Q8×Dic79C2311yescharacteristic
565C4×Dic158C2314yes—
566C4×Dic158C2312yes—
567C4×Dic158C2312yes—
568C4×Dic158C2311yescharacteristic
569#14579126C2314yes—
570#14579126C2312yes—
571#14579126C2312yes—
572#14579126C2312yes—
573#14579126C2312yes—
574#14579126C2311yescharacteristic
575C4×D316C2312yes—
576C4×D316C2314yes—
577C4×D316C2314yes—
578C4×D316C2312yes—
579C4×D316C2311yescharacteristic
580C4×D316C2312yes—
581C4×D316C2312yes—
582D4×Dic79C2314yes—
583D4×Dic79C2314yes—
584D4×Dic79C2312yes—
585D4×Dic79C2312yes—
586D4×Dic79C2312yes—
587D4×Dic79C2311yescharacteristic
588D4×Dic79C2312yes—
589#14579123C2314yes—
590#14579123C2314yes—
591#14579123C2312yes—
592#14579123C2312yes—
593#14579123C2312yes—
594#14579123C2312yes—
595#14579123C2311yescharacteristic
596#14579123C2312yes—
597#14579123C2312yes—
598C4×C22⋊D79C2314yes—
599C4×C22⋊D79C2314yes—
600C4×C22⋊D79C2314yes—
601C4×C22⋊D79C2314yes—
602C4×C22⋊D79C2314yes—
603C4×C22⋊D79C2314yes—
604C4×C22⋊D79C2314yes—
605C4×C22⋊D79C2314yes—
606C4×C22⋊D79C2312yes—
607C4×C22⋊D79C2312yes—
608C4×C22⋊D79C2314yes—
609C4×C22⋊D79C2312yes—
610(C22⋊D79)⋊C4C2314yes—
611(C22⋊D79)⋊C4C2314yes—
612(C22⋊D79)⋊C4C2314yes—
613(C22⋊D79)⋊C4C2314yes—
614(C22⋊D79)⋊C4C2314yes—
615(C22⋊D79)⋊C4C2314yes—
616(C22⋊D79)⋊C4C2314yes—
617(C22⋊D79)⋊C4C2314yes—
618(C22⋊D79)⋊C4C2314yes—
619(C22⋊D79)⋊C4C2312yes—
620(C22⋊D79)⋊C4C2312yes—
621(C22⋊D79)⋊C4C2312yes—
622(C22⋊D79)⋊C4C2312yes—
623(C22⋊D79)⋊C4C2312yes—
624(C22⋊D79)⋊C4C2312yes—
625(C22⋊D79)⋊C4C2314yes—
626(C22⋊D79)⋊C4C2314yes—
627(C22⋊D79)⋊C4C2314yes—
628(C22⋊D79)⋊C4C2314yes—
629(C22⋊D79)⋊C4C2314yes—
630(C22⋊D79)⋊C4C2314yes—
631(C22⋊D79)⋊C4C2314yes—
632(C22⋊D79)⋊C4C2314yes—
633(C22⋊D79)⋊C4C2312yes—
634#14579119C2311yescharacteristic
635#14579119C2311yescharacteristic
636#14579119C2312yes—
637#14579119C2312yes—
638#14579118C2312yes—
639#14579118C2314yes—
640#14579118C2314yes—
641#14579118C2314yes—
642#14579118C2312yes—
643#14579117C2312yes—
644#14579117C2312yes—
645#14579117C2314yes—
646#14579117C2314yes—
647#14579117C2314yes—
648#14579117C2312yes—
649C2×Dic79⋊C4C2312yes—
650C2×Dic79⋊C4C2314yes—
651C2×Dic79⋊C4C2314yes—
652C2×Dic79⋊C4C2312yes—
653C4⋊C4×D79C2312yes—
654C4⋊C4×D79C2314yes—
655C4⋊C4×D79C2314yes—
656C4⋊C4×D79C2312yes—
657C2×C22⋊Dic79C2314yes—
658C2×(C2×D79)⋊C4C2314yes—
659C2×(C2×D79)⋊C4C2312yes—
660C2×(C2×D79)⋊C4C2314yes—
661C2×(C2×D79)⋊C4C2312yes—
662C22⋊C4×D79C2314yes—
663C22⋊C4×D79C2314yes—
664C22⋊C4×D79C2314yes—
665C22⋊C4×D79C2314yes—
666C22⋊C4×D79C2314yes—
667C22⋊C4×D79C2314yes—
668C2×C4×Dic79C2311yescharacteristic
669C2×C4×Dic79C2311yescharacteristic
670C2×C4×Dic79C2311yescharacteristic
671C2×C4×Dic79C2312yes—
672C42×D79C2311yescharacteristic
673C42×D79C2311yescharacteristic
674C42×D79C2311yescharacteristic
675C42×D79C2311yescharacteristic
676C42×D79C2311yescharacteristic
677C42×D79C2311yescharacteristic
678C42×D79C2311yescharacteristic
679C42×D79C2311yescharacteristic
680C42×D79C2312yes—
681C2×#41×C79C2312yes—
682C2×#41×C79C2312yes—
683C22×Q8×C79C2311yescharacteristic
684C22×D4×C79C2314yes—
685C22×D4×C79C2312yes—
686C22×D4×C79C2311yescharacteristic
687C4⋊Q8×C79C2311yescharacteristic
688#127×C79C2312yes—
689#127×C79C2311yescharacteristic
690#126×C79C2312yes—
691#126×C79C2314yes—
692#125×C79C2311yescharacteristic
693#124×C79C2312yes—
694#124×C79C2314yes—
695#124×C79C2314yes—
696#124×C79C2314yes—
697#124×C79C2312yes—
698#124×C79C2312yes—
699#124×C79C2312yes—
700#124×C79C2312yes—
701#124×C79C2311yescharacteristic
702#124×C79C2312yes—
703#123×C79C2314yes—
704#123×C79C2314yes—
705#123×C79C2314yes—
706#123×C79C2312yes—
707#123×C79C2314yes—
708C22⋊Q8×C79C2314yes—
709C22⋊Q8×C79C2314yes—
710C22⋊Q8×C79C2312yes—
711C22⋊Q8×C79C2311yescharacteristic
712#121×C79C2314yes—
713#121×C79C2314yes—
714#121×C79C2314yes—
715#121×C79C2312yes—
716#121×C79C2312yes—
717#121×C79C2314yes—
718#121×C79C2312yes—
719#121×C79C2314yes—
720#121×C79C2311yescharacteristic
721#120×C79C2314yes—
722#120×C79C2314yes—
723#120×C79C2314yes—
724#120×C79C2314yes—
725#120×C79C2314yes—
726C4×Q8×C79C2312yes—
727C4×Q8×C79C2311yescharacteristic
728C4×D4×C79C2312yes—
729C4×D4×C79C2312yes—
730C4×D4×C79C2314yes—
731C4×D4×C79C2312yes—
732C4×D4×C79C2312yes—
733C4×D4×C79C2311yescharacteristic
734C4×D4×C79C2314yes—
735#117×C79C2312yes—
736C2×C22⋊C4×C79C2312yes—
737C2×C22⋊C4×C79C2312yes—
738C2×C22⋊C4×C79C2314yes—
739C2×C42×C79C2311yescharacteristic
740C23×D79C2411yescharacteristic
741C23×D79C2414yes—
742C23×D79C2412yes—
743C23×D79C2414yes—
744C23×D79C2414yes—
745C23×D79C2414yes—
746#11929625—28no—
747#11929625—44no—
748#11929625—44no—
749#11929625—44no—
750#11929625—44no—
751#11929625—42no—
752#11929625—44no—
753#11929624—28no—
754#11929624—44no—
755#11929624—48no—
756#11929624—48no—
757#11929624—48no—
758#11929624—48no—
759#11929624—44no—
760#11929623—216no—
761#11929623—28no—
762#11929623—28no—
763#11929623—44no—
764#11929623—48no—
765#11929623—48no—
766#11929623—48no—
767#11929623—44no—
768#11929623—44no—
769#11929623—44no—
770#11929623—44no—
771#11929623—42no—
772C2×Dic158—42no—
773C2×Dic158C2414yes—
774C2×Dic158C2412yes—
775C2×Dic158C2412yes—
776C2×Dic158C2412yes—
777C2×Dic158C2412yes—
778C2×Dic158C2412yes—
779C2×Dic158C2411yescharacteristic
780Q8×D79—44no—
781C2×D316—42no—
782C2×D316—44no—
783C2×D316—44no—
784C2×D316—48no—
785C2×D316C2412yes—
786C2×D316C2412yes—
787C2×D316C2414yes—
788C2×D316C2412yes—
789C2×D316C2412yes—
790C2×D316C2414yes—
791C2×D316C2414yes—
792C2×D316C2414yes—
793C2×D316C2414yes—
794C2×D316C2412yes—
795C2×D316C2414yes—
796C2×D316C2411yescharacteristic
797C2×D316C2412yes—
798C2×D316C2414yes—
799C2×D316C2414yes—
800C2×D316C2412yes—
801C2×C22⋊D79—28no—
802C2×C22⋊D79—44no—
803C2×C22⋊D79—48no—
804C2×C22⋊D79—48no—
805C2×C22⋊D79—48no—
806C2×C22⋊D79—48no—
807C2×C22⋊D79—48no—
808C2×C22⋊D79—48no—
809C2×C22⋊D79—44no—
810C2×C22⋊D79C2414yes—
811C2×C22⋊D79C2414yes—
812C2×C22⋊D79C2414yes—
813C2×C22⋊D79C2414yes—
814C2×C22⋊D79C2414yes—
815C2×C22⋊D79C2414yes—
816C2×C22⋊D79C2412yes—
817C2×C22⋊D79C2412yes—
818C2×C22⋊D79C2412yes—
819C2×C22⋊D79C2412yes—
820C2×C22⋊D79C2414yes—
821C2×C22⋊D79C2414yes—
822C2×C22⋊D79C2414yes—
823C2×C22⋊D79C2414yes—
824C2×C22⋊D79C2412yes—
825C2×C22⋊D79C2414yes—
826C2×C22⋊D79C2414yes—
827C2×C22⋊D79C2414yes—
828C2×C22⋊D79C2414yes—
829C2×C22⋊D79C2414yes—
830C2×C22⋊D79C2414yes—
831C2×C22⋊D79C2414yes—
832C2×C22⋊D79C2414yes—
833C2×C22⋊D79C2414yes—
834C2×C22⋊D79C2414yes—
835C2×C22⋊D79C2414yes—
836D4×D79—28no—
837D4×D79—44no—
838D4×D79—48no—
839D4×D79—48no—
840D4×D79—48no—
841D4×D79—44no—
842D4×D79—48no—
843D4×D79—48no—
844D4×D79—48no—
845D4×D79—48no—
846D4×D79—48no—
847D4×D79—48no—
848D4×D79—44no—
849D4×D79—44no—
850C22×Dic79—44no—
851C22×Dic79C2412yes—
852C22×Dic79C2414yes—
853C22×Dic79C2414yes—
854C22×Dic79C2412yes—
855C22×Dic79C2411yescharacteristic
856C22×Dic79C2411yescharacteristic
857C22×Dic79C2412yes—
858C22×Dic79C2414yes—
859C22×Dic79C2414yes—
860C22×Dic79C2414yes—
861C22×Dic79C2411yescharacteristic
862C2×C4×D79—24no—
863C2×C4×D79—24no—
864C2×C4×D79—48no—
865C2×C4×D79—44no—
866C2×C4×D79—42no—
867C2×C4×D79C2411yescharacteristic
868C2×C4×D79C2411yescharacteristic
869C2×C4×D79C2411yescharacteristic
870C2×C4×D79C2411yescharacteristic
871C2×C4×D79C2411yescharacteristic
872C2×C4×D79C2412yes—
873C2×C4×D79C2412yes—
874C2×C4×D79C2414yes—
875C2×C4×D79C2411yescharacteristic
876C2×C4×D79C2411yescharacteristic
877C2×C4×D79C2414yes—
878C2×C4×D79C2412yes—
879C2×C4×D79C2411yescharacteristic
880C2×C4×D79C2411yescharacteristic
881C2×C4×D79C2414yes—
882C2×C4×D79C2414yes—
883C2×C4×D79C2414yes—
884C2×C4×D79C2414yes—
885C2×C4×D79C2414yes—
886C2×C4×D79C2414yes—
887C2×C4×D79C2414yes—
888C2×C4×D79C2411yescharacteristic
889C2×C4×D79C2411yescharacteristic
890C2×C4×D79C2411yescharacteristic
891C4⋊Dic79C2412yes—
892C4⋊Dic79C2412yes—
893C4⋊Dic79C2414yes—
894C4⋊Dic79C2414yes—
895C4⋊Dic79C2412yes—
896C4⋊Dic79C2412yes—
897C4⋊Dic79C2411yescharacteristic
898C4⋊Dic79C2411yescharacteristic
899Dic79⋊C4C2412yes—
900Dic79⋊C4C2412yes—
901Dic79⋊C4C2414yes—
902Dic79⋊C4C2414yes—
903Dic79⋊C4C2414yes—
904Dic79⋊C4C2414yes—
905Dic79⋊C4C2414yes—
906Dic79⋊C4C2414yes—
907Dic79⋊C4C2414yes—
908Dic79⋊C4C2414yes—
909Dic79⋊C4C2414yes—
910Dic79⋊C4C2414yes—
911Dic79⋊C4C2412yes—
912Dic79⋊C4C2412yes—
913Dic79⋊C4C2412yes—
914Dic79⋊C4C2412yes—
915Dic79⋊C4C2412yes—
916Dic79⋊C4C2412yes—
917Dic79⋊C4C2412yes—
918Dic79⋊C4C2412yes—
919C22⋊Dic79C2412yes—
920C22⋊Dic79C2414yes—
921C22⋊Dic79C2414yes—
922C22⋊Dic79C2414yes—
923C22⋊Dic79C2414yes—
924C22⋊Dic79C2414yes—
925C22⋊Dic79C2412yes—
926C22⋊Dic79C2412yes—
927C22⋊Dic79C2414yes—
928C22⋊Dic79C2414yes—
929(C2×D79)⋊C4C2412yes—
930(C2×D79)⋊C4C2412yes—
931(C2×D79)⋊C4C2414yes—
932(C2×D79)⋊C4C2414yes—
933(C2×D79)⋊C4C2414yes—
934(C2×D79)⋊C4C2414yes—
935(C2×D79)⋊C4C2414yes—
936(C2×D79)⋊C4C2414yes—
937(C2×D79)⋊C4C2414yes—
938(C2×D79)⋊C4C2414yes—
939(C2×D79)⋊C4C2414yes—
940(C2×D79)⋊C4C2414yes—
941(C2×D79)⋊C4C2414yes—
942(C2×D79)⋊C4C2414yes—
943(C2×D79)⋊C4C2414yes—
944(C2×D79)⋊C4C2414yes—
945(C2×D79)⋊C4C2412yes—
946(C2×D79)⋊C4C2414yes—
947(C2×D79)⋊C4C2412yes—
948(C2×D79)⋊C4C2412yes—
949(C2×D79)⋊C4C2412yes—
950(C2×D79)⋊C4C2414yes—
951(C2×D79)⋊C4C2414yes—
952(C2×D79)⋊C4C2414yes—
953(C2×D79)⋊C4C2412yes—
954(C2×D79)⋊C4C2412yes—
955(C2×D79)⋊C4C2412yes—
956(C2×D79)⋊C4C2412yes—
957C4×Dic79C2411yescharacteristic
958C4×Dic79C2411yescharacteristic
959C4×Dic79C2411yescharacteristic
960C4×Dic79C2411yescharacteristic
961C4×Dic79C2411yescharacteristic
962C4×Dic79C2411yescharacteristic
963C4×Dic79C2411yescharacteristic
964C4×Dic79C2411yescharacteristic
965C4×Dic79C2411yescharacteristic
966C4×Dic79C2411yescharacteristic
967C4×Dic79C2411yescharacteristic
968C4×Dic79C2411yescharacteristic
969C4×Dic79C2412yes—
970C4×Dic79C2412yes—
971C4×Dic79C2412yes—
972C4×Dic79C2412yes—
973C4×Dic79C2412yes—
974C4×Dic79C2414yes—
975C4×Dic79C2414yes—
976C4×Dic79C2414yes—
977C24×C79C2412yes—
978C24×C79C2414yes—
979#41×C79—44no—
980#41×C79—44no—
981C2×Q8×C79—42no—
982C2×Q8×C79C2412yes—
983C2×Q8×C79C2412yes—
984C2×Q8×C79C2412yes—
985C2×Q8×C79C2411yescharacteristic
986C2×D4×C79—42no—
987C2×D4×C79—44no—
988C2×D4×C79—48no—
989C2×D4×C79C2412yes—
990C2×D4×C79C2414yes—
991C2×D4×C79C2412yes—
992C2×D4×C79C2412yes—
993C2×D4×C79C2412yes—
994C2×D4×C79C2411yescharacteristic
995C2×D4×C79C2414yes—
996C2×D4×C79C2412yes—
997C2×D4×C79C2414yes—
998C2×D4×C79C2414yes—
999C2×D4×C79C2414yes—
1000C2×D4×C79C2412yes—
1001C2×D4×C79C2414yes—
1002C22×C4×C79C2411yescharacteristic
1003C22×C4×C79C2411yescharacteristic
1004C22×C4×C79C2412yes—
1005C22×C4×C79C2414yes—
1006C22×C4×C79C2414yes—
1007C22×C4×C79C2414yes—
1008C22×C4×C79C2411yescharacteristic
1009C22×C4×C79C2412yes—
1010C4⋊C4×C79C2412yes—
1011C4⋊C4×C79C2412yes—
1012C4⋊C4×C79C2412yes—
1013C4⋊C4×C79C2412yes—
1014C4⋊C4×C79C2412yes—
1015C4⋊C4×C79C2414yes—
1016C4⋊C4×C79C2412yes—
1017C4⋊C4×C79C2411yescharacteristic
1018C4⋊C4×C79C2414yes—
1019C4⋊C4×C79C2411yescharacteristic
1020C22⋊C4×C79C2412yes—
1021C22⋊C4×C79C2414yes—
1022C22⋊C4×C79C2414yes—
1023C22⋊C4×C79C2414yes—
1024C22⋊C4×C79C2414yes—
1025C22⋊C4×C79C2414yes—
1026C22⋊C4×C79C2414yes—
1027C22⋊C4×C79C2412yes—
1028C22⋊C4×C79C2412yes—
1029C22⋊C4×C79C2412yes—
1030C22⋊C4×C79C2414yes—
1031C22⋊C4×C79C2412yes—
1032C22⋊C4×C79C2414yes—
1033C22⋊C4×C79C2414yes—
1034C22⋊C4×C79C2414yes—
1035C22⋊C4×C79C2414yes—
1036C42×C79C2411yescharacteristic
1037C42×C79C2411yescharacteristic
1038C42×C79C2411yescharacteristic
1039C42×C79C2411yescharacteristic
1040C42×C79C2412yes—
1041C42×C79C2414yes—
1042C23×C79—24no—
1043C23×C79—42no—
1044C23×C79—42no—
1045C23×C79—44no—
1046C23×C79—44no—
1047C23×C79—44no—
1048C23×C79C2512yes—
1049C23×C79C2514yes—
1050C23×C79C2514yes—
1051C23×C79C2511yescharacteristic
1052C22×D79—22no—
1053C22×D79—24no—
1054C22×D79—22no—
1055C22×D79—28no—
1056C22×D79—41no—
1057C22×D79—44no—
1058C22×D79—42no—
1059C22×D79—44no—
1060C22×D79—42no—
1061C22×D79—44no—
1062C22×D79—44no—
1063C22×D79—44no—
1064C22×D79—44no—
1065C22×D79—44no—
1066C22×D79—44no—
1067C22×D79—44no—
1068C22×D79—44no—
1069C22×D79—44no—
1070C22×D79C2512yes—
1071C22×D79C2514yes—
1072C22×D79C2514yes—
1073C22×D79C2511yescharacteristic
1074C22×D79C2511yescharacteristic
1075Q8×C79—24no—
1076Q8×C79—42no—
1077Q8×C79—42no—
1078Q8×C79—41no—
1079D4×C79—24no—
1080D4×C79—28no—
1081D4×C79—24no—
1082D4×C79—24no—
1083D4×C79—44no—
1084D4×C79—44no—
1085D4×C79—44no—
1086D4×C79—44no—
1087D4×C79—42no—
1088D4×C79—42no—
1089D4×C79—44no—
1090D4×C79—42no—
1091D4×C79—41no—
1092C2×C4×C79—22no—
1093C2×C4×C79—22no—
1094C2×C4×C79—24no—
1095C2×C4×C79—42no—
1096C2×C4×C79—44no—
1097C2×C4×C79—41no—
1098C2×C4×C79—44no—
1099C2×C4×C79—44no—
1100C2×C4×C79C2512yes—
1101C2×C4×C79C2511yescharacteristic
1102C2×C4×C79C2511yescharacteristic
1103C2×C4×C79C2511yescharacteristic
1104C2×C4×C79C2511yescharacteristic
1105C2×C4×C79C2511yescharacteristic
1106C2×C4×C79C2512yes—
1107C2×C4×C79C2514yes—
1108C2×C4×C79C2512yes—
1109C2×C4×C79C2514yes—
1110C2×C4×C79C2511yescharacteristic
1111C22⋊D79—24no—
1112C22⋊D79—28no—
1113C22⋊D79—24no—
1114C22⋊D79—28no—
1115C22⋊D79—28no—
1116C22⋊D79—24no—
1117C22⋊D79—24no—
1118C22⋊D79—28no—
1119C22⋊D79—28no—
1120C22⋊D79—28no—
1121C22⋊D79—28no—
1122C22⋊D79—28no—
1123C22⋊D79—44no—
1124C22⋊D79—44no—
1125C22⋊D79—44no—
1126C22⋊D79—44no—
1127C22⋊D79—44no—
1128C22⋊D79—44no—
1129C22⋊D79—44no—
1130C22⋊D79—44no—
1131C22⋊D79—44no—
1132C22⋊D79—44no—
1133C22⋊D79—44no—
1134C22⋊D79—44no—
1135C22⋊D79—44no—
1136C22⋊D79—42no—
1137C2×Dic79—22no—
1138C2×Dic79—28no—
1139C2×Dic79—28no—
1140C2×Dic79—24no—
1141C2×Dic79—22no—
1142C2×Dic79—24no—
1143C2×Dic79—42no—
1144C2×Dic79—44no—
1145C2×Dic79—44no—
1146C2×Dic79—44no—
1147C2×Dic79H(5,𝔽2)14yescomplemented
1148C2×Dic79C2512yes—
1149C2×Dic79C2511yescharacteristic
1150C2×Dic79C2511yescharacteristic
1151C2×Dic79C2514yes—
1152C2×Dic79C2514yes—
1153C2×Dic79C2512yes—
1154C2×Dic79C2512yes—
1155C2×Dic79C2511yescharacteristic
1156C2×Dic79C2511yescharacteristic
1157C2×Dic79C2511yescharacteristic
1158C2×Dic79C2511yescharacteristic
1159D316—24no—
1160D316—28no—
1161D316—24no—
1162D316—24no—
1163D316—44no—
1164D316—44no—
1165D316—44no—
1166D316—42no—
1167D316—44no—
1168D316—42no—
1169D316—44no—
1170D316—44no—
1171D316—42no—
1172D316—44no—
1173D316—41no—
1174D316—42no—
1175C4×D79—22no—
1176C4×D79—22no—
1177C4×D79—24no—
1178C4×D79—22no—
1179C4×D79—22no—
1180C4×D79—22no—
1181C4×D79—22no—
1182C4×D79—22no—
1183C4×D79—28no—
1184C4×D79—28no—
1185C4×D79—24no—
1186C4×D79—22no—
1187C4×D79—22no—
1188C4×D79—24no—
1189C4×D79—41no—
1190C4×D79—41no—
1191C4×D79—44no—
1192C4×D79—44no—
1193C4×D79—44no—
1194C4×D79—44no—
1195C4×D79—44no—
1196C4×D79—44no—
1197C4×D79—44no—
1198C4×D79H(5,𝔽2)14yescomplemented
1199Dic158—24no—
1200Dic158—28no—
1201Dic158—24no—
1202Dic158—24no—
1203Dic158—42no—
1204Dic158—42no—
1205Dic158—41no—
1206C22×C79—21no—
1207C22×C79—21no—
1208C22×C79—22no—
1209C22×C79—24no—
1210C22×C79—24no—
1211C22×C79—24no—
1212C22×C79—22no—
1213C22×C79—24no—
1214C22×C79—24no—
1215C22×C79—24no—
1216C22×C79—22no—
1217C22×C79—84no—
1218C22×C79—164no—
1219C22×C79C2×H(5,𝔽2)12yes—
1220C22×C79C2611yescharacteristic
1221C2×D79—21no—
1222C2×D79—21no—
1223C2×D79—24no—
1224C2×D79—22no—
1225C2×D79—24no—
1226C2×D79—24no—
1227C2×D79—22no—
1228C2×D79—21no—
1229C2×D79—21no—
1230C2×D79—24no—
1231C2×D79—24no—
1232C2×D79—24no—
1233C2×D79—21no—
1234C2×D79—22no—
1235C2×D79—44no—
1236C2×D79—88no—
1237C2×D79—84no—
1238C2×D79—164no—
1239C2×D79—164no—
1240C2×D79—164no—
1241C2×D79C2×H(5,𝔽2)12yes—
1242C4×C79—21no—
1243C4×C79—22no—
1244C4×C79—21no—
1245C4×C79—21no—
1246C4×C79—22no—
1247C4×C79—24no—
1248C4×C79—24no—
1249C4×C79—21no—
1250C4×C79—21no—
1251C4×C79—22no—
1252C4×C79C2×H(5,𝔽2)12yes—
1253Dic79—22no—
1254Dic79—22no—
1255Dic79—24no—
1256Dic79—24no—
1257Dic79—21no—
1258Dic79—22no—
1259Dic79—21no—
1260Dic79C2×H(5,𝔽2)12yes—
1261Dic79C2×H(5,𝔽2)12yes—
1262Dic79C2×H(5,𝔽2)12yes—
1263Dic79#58512yes—
1264#62834—791nomaximal, Sylow
1265C2×C79—22no—
1266C2×C79—44no—
1267C2×C79—42no—
1268C2×C79—44no—
1269C2×C79C22×H(5,𝔽2)11yescharacteristic
1270C2×C79C22×H(5,𝔽2)11yescharacteristic
1271C2×C79C2×#58511yescharacteristic
1272D79—22no—
1273D79—41no—
1274D79—44no—
1275D79—44no—
1276D79—42no—
1277#3558—792no—
1278#3558—792no—
1279#3558—791no—
1280#3558—791no—
1281#3558—791no—
1282#3558D7911yescharacteristic, complemented
1283#3549—792no—
1284#3548—792no—
1285#3546—792no—
1286#3546—794no—
1287#3546—792no—
1288#3537—792no—
1289#3537—792no—
1290#3519—794no—
1291#3519—794no—
1292#3511—792no—
1293#3511—792no—
1294#3508—792no—
1295#3508—792no—
1296#3506—792no—
1297#3506—792no—
1298#3498—792no—
1299#3498—792no—
1300#3496—792no—
1301#3496—792no—
1302#3488—792no—
1303#3488—794no—
1304#3488—792no—
1305#3444—791no—
1306C2×#532—791no—
1307C2×#532—791no—
1308C79#6283411yescharacteristic, complemented, Sylow
1309C2×H(5,𝔽2)—792no—
1310C2×H(5,𝔽2)—792no—
1311C2×H(5,𝔽2)—794no—
1312C22×#41—792no—
1313C22×#41—791no—
1314C22×#41—791no—
1315#562—792no—
1316#562—792no—
1317#562—792no—
1318#562C2×D7912yescomplemented
1319H(3,𝔽4)—792no—
1320H(3,𝔽4)—792no—
1321H(3,𝔽4)—792no—
1322H(3,𝔽4)C2×D7912yescomplemented
1323#560—794no—
1324#560—794no—
1325#560—794no—
1326#560—794no—
1327#559—794no—
1328#559—792no—
1329#559—794no—
1330#559—792no—
1331#559—792no—
1332#559C2×D7912yescomplemented
1333#556—794no—
1334#556—792no—
1335#556—792no—
1336#555—794no—
1337#555—794no—
1338#555—794no—
1339#554—794no—
1340#554—794no—
1341#553—794no—
1342#553—794no—
1343#553—794no—
1344#553—794no—
1345#553—794no—
1346#553—794no—
1347#553—794no—
1348#553—794no—
1349#550—792no—
1350#550—792no—
1351#550—792no—
1352#550—792no—
1353#550—794no—
1354#550—794no—
1355#550—794no—
1356#550—794no—
1357#550—792no—
1358#550—794no—
1359#550—792no—
1360#548—792no—
1361#548—794no—
1362#548—794no—
1363#548—792no—
1364#548—792no—
1365#548C2×D7912yescomplemented
1366#547—792no—
1367#547—794no—
1368#547—794no—
1369#547—794no—
1370#547—792no—
1371#546—794no—
1372#546—792no—
1373#546—792no—
1374#546—794no—
1375#546—792no—
1376#546—794no—
1377#546—794no—
1378#546—794no—
1379#546—794no—
1380#546—792no—
1381#546—794no—
1382#546—794no—
1383#546—794no—
1384#546—794no—
1385#546—794no—
1386#546—794no—
1387#546—792no—
1388#546—792no—
1389#546—792no—
1390#546—794no—
1391#546—794no—
1392#546—794no—
1393#546C2×D7914yescomplemented
1394#546C2×D7912yescomplemented
1395D42—794no—
1396D42—792no—
1397D42—792no—
1398D42—794no—
1399D42—794no—
1400D42—792no—
1401D42—794no—
1402D42—792no—
1403D42—794no—
1404D42—794no—
1405D42—794no—
1406D42—794no—
1407D42—794no—
1408D42—794no—
1409D42—794no—
1410D42—794no—
1411D42—794no—
1412D42—794no—
1413D42—792no—
1414D42C2×D7912yescomplemented
1415#542—792no—
1416#542—794no—
1417#542—792no—
1418#542—794no—
1419#542—792no—
1420#542C2×D7912yescomplemented
1421#540—794no—
1422#540—794no—
1423#540—794no—
1424#540—794no—
1425#538—794no—
1426#538—794no—
1427#538—794no—
1428#538—794no—
1429#538—794no—
1430#538—792no—
1431#538—794no—
1432#538—794no—
1433#538—792no—
1434#538—794no—
1435#538—794no—
1436#538—792no—
1437#538C2×D7912yescomplemented
1438#538C2×D7914yescomplemented
1439#537—792no—
1440#537—794no—
1441#537—794no—
1442#537—794no—
1443#537—794no—
1444#537—794no—
1445#537—792no—
1446#535—792no—
1447#535—792no—
1448#535—792no—
1449#535—794no—
1450#535—794no—
1451#535—792no—
1452#535—794no—
1453#535—794no—
1454#535—794no—
1455#535—794no—
1456#535—794no—
1457#535—794no—
1458#535—794no—
1459#535—792no—
1460#535C2×D7912yescomplemented
1461#534—794no—
1462#534—792no—
1463#534—792no—
1464#534—794no—
1465#534—792no—
1466#534C2×D7912yescomplemented
1467#533—791no—
1468#533—791no—
1469#533—792no—
1470#533—791no—
1471#533—792no—
1472#532—792no—
1473#532—792no—
1474#532—791no—
1475#532—791no—
1476#532—792no—
1477#532—792no—
1478#532—792no—
1479#532—792no—
1480#532—792no—
1481#532—792no—
1482#532—792no—
1483#532—792no—
1484#532—792no—
1485#532—791no—
1486#532—792no—
1487#532—792no—
1488#532—792no—
1489#532—791no—
1490#532—792no—
1491#532—792no—
1492#532—792no—
1493#532—791no—
1494#532—792no—
1495#532—791no—
1496#532C2×D7911yescharacteristic, complemented
1497C2×C4⋊Q8—791no—
1498C2×C4⋊Q8—791no—
1499C2×#127—791no—
1500C2×#127—792no—
1501C2×#127—791no—
1502C2×#127—792no—
1503#529—792no—
1504#529—792no—
1505#529—791no—
1506#529—791no—
1507#529—792no—
1508#529—792no—
1509#529—791no—
1510#529C2×D7911yescharacteristic, complemented
1511C2×#124—792no—
1512C2×#124—791no—
1513C2×#124C2×D7911yescharacteristic, complemented
1514#525—792no—
1515#525—794no—
1516#525—791no—
1517#525—791no—
1518#525—794no—
1519#525—792no—
1520#525—794no—
1521#525—794no—
1522C2×#121—794no—
1523C2×#121—792no—
1524C2×#121—792no—
1525C2×#121—794no—
1526C2×#121—794no—
1527C2×#121—792no—
1528C2×#121—792no—
1529C2×#121—794no—
1530#520—792no—
1531#520—794no—
1532#520—792no—
1533#518—794no—
1534#518—794no—
1535C4×#41—791no—
1536C4×#41—792no—
1537C4×#41—791no—
1538C4×#41—792no—
1539C2×C4×D4—792no—
1540C2×C4×D4—792no—
1541C2×C4×D4—792no—
1542C2×C4×D4—792no—
1543C22×C42—791no—
1544H(5,𝔽2)—3168no—
1545H(5,𝔽2)—31616no—
1546H(5,𝔽2)—3168no—
1547C2×#41—3164no—
1548C2×#41—3164no—
1549C2×#41—3168no—
1550C2×#41—791no—
1551C2×#41—792no—
1552C2×#41—792no—
1553C2×#41—792no—
1554C2×#41—792no—
1555C2×#41—792no—
1556C2×#41—792no—
1557C2×#41—791no—
1558C2×#41—794no—
1559C2×#41—794no—
1560C2×#41—792no—
1561C2×#41—792no—
1562C2×#41—792no—
1563C2×#41—792no—
1564C2×#41—792no—
1565C2×#41—794no—
1566C2×#41—792no—
1567C2×#41—794no—
1568C2×#41—792no—
1569C2×#41—794no—
1570C2×#41—794no—
1571C2×#41—792no—
1572C2×#41—794no—
1573C2×#41—792no—
1574C2×#41—794no—
1575C2×#41—792no—
1576C2×#41C22×D7912yes—
1577C2×#41C22×D7912yes—
1578C22×Q8—792no—
1579C22×Q8—791no—
1580C22×Q8C22×D7911yescharacteristic
1581C22×D4—792no—
1582C22×D4—794no—
1583C22×D4—792no—
1584C22×D4—794no—
1585C22×D4—794no—
1586C22×D4—794no—
1587C22×D4—794no—
1588C22×D4—794no—
1589C22×D4—792no—
1590C22×D4—794no—
1591C22×D4—794no—
1592C22×D4—794no—
1593C22×D4—794no—
1594C22×D4—794no—
1595C22×D4—794no—
1596C22×D4—794no—
1597C22×D4—794no—
1598C22×D4—792no—
1599C22×D4—792no—
1600C22×D4—792no—
1601C22×D4—794no—
1602C22×D4—792no—
1603C22×D4—792no—
1604C22×D4—792no—
1605C22×D4—794no—
1606C22×D4—791no—
1607C22×D4—792no—
1608C22×D4C22×D7914yes—
1609C22×D4C22×D7911yescharacteristic
1610C22×D4C22×D7912yes—
1611C23×C4—792no—
1612C23×C4—794no—
1613C23×C4—792no—
1614C23×C4—791no—
1615C23×C4—791no—
1616C23×C4—791no—
1617C4⋊Q8—792no—
1618C4⋊Q8—792no—
1619C4⋊Q8—792no—
1620C4⋊Q8—792no—
1621C4⋊Q8—792no—
1622C4⋊Q8—791no—
1623C4⋊Q8—792no—
1624C4⋊Q8—792no—
1625C4⋊Q8—791no—
1626C4⋊Q8—791no—
1627C4⋊Q8—791no—
1628C4⋊Q8C22×D7911yescharacteristic
1629#127—792no—
1630#127—792no—
1631#127—792no—
1632#127—792no—
1633#127—792no—
1634#127—792no—
1635#127—792no—
1636#127—792no—
1637#127—792no—
1638#127—794no—
1639#127—794no—
1640#127—794no—
1641#127—794no—
1642#127—791no—
1643#127—794no—
1644#127—794no—
1645#127—794no—
1646#127—791no—
1647#127—792no—
1648#127—794no—
1649#127C22×D7911yescharacteristic
1650#127C22×D7912yes—
1651#126—792no—
1652#126—794no—
1653#126—794no—
1654#126—794no—
1655#126—792no—
1656#126—794no—
1657#126—794no—
1658#126—794no—
1659#126—792no—
1660#126—794no—
1661#126C22×D7912yes—
1662#126C22×D7914yes—
1663#125—792no—
1664#125—792no—
1665#125—794no—
1666#125—794no—
1667#125—791no—
1668#125C22×D7911yescharacteristic
1669#124—792no—
1670#124—792no—
1671#124—794no—
1672#124—794no—
1673#124—794no—
1674#124—792no—
1675#124—792no—
1676#124—794no—
1677#124—794no—
1678#124—792no—
1679#124—792no—
1680#124—794no—
1681#124—794no—
1682#124—794no—
1683#124—794no—
1684#124—794no—
1685#124—794no—
1686#124—794no—
1687#124—794no—
1688#124—792no—
1689#124—792no—
1690#124—792no—
1691#124—792no—
1692#124—792no—
1693#124—791no—
1694#124—792no—
1695#124C22×D7912yes—
1696#124C22×D7912yes—
1697#124C22×D7912yes—
1698#124C22×D7912yes—
1699#124C22×D7912yes—
1700#124C22×D7911yescharacteristic
1701#124C22×D7912yes—
1702#124C22×D7914yes—
1703#124C22×D7914yes—
1704#124C22×D7914yes—
1705#123—794no—
1706#123—794no—
1707#123—792no—
1708#123—794no—
1709#123—794no—
1710#123—792no—
1711#123—792no—
1712#123—794no—
1713#123—794no—
1714#123—794no—
1715#123—794no—
1716#123—794no—
1717#123—794no—
1718#123—792no—
1719#123—792no—
1720#123—794no—
1721#123—794no—
1722#123—794no—
1723#123—794no—
1724#123—794no—
1725#123—794no—
1726#123—794no—
1727#123—794no—
1728#123—794no—
1729#123—794no—
1730#123C22×D7912yes—
1731#123C22×D7914yes—
1732#123C22×D7914yes—
1733#123C22×D7914yes—
1734#123C22×D7914yes—
1735C22⋊Q8—791no—
1736C22⋊Q8—792no—
1737C22⋊Q8—794no—
1738C22⋊Q8—794no—
1739C22⋊Q8—791no—
1740C22⋊Q8—792no—
1741C22⋊Q8—792no—
1742C22⋊Q8—792no—
1743C22⋊Q8—792no—
1744C22⋊Q8—791no—
1745C22⋊Q8—794no—
1746C22⋊Q8—794no—
1747C22⋊Q8—794no—
1748C22⋊Q8—792no—
1749C22⋊Q8—794no—
1750C22⋊Q8—794no—
1751C22⋊Q8—792no—
1752C22⋊Q8—794no—
1753C22⋊Q8—794no—
1754C22⋊Q8—794no—
1755C22⋊Q8—794no—
1756C22⋊Q8—794no—
1757C22⋊Q8C22×D7911yescharacteristic
1758C22⋊Q8C22×D7912yes—
1759C22⋊Q8C22×D7914yes—
1760C22⋊Q8C22×D7914yes—
1761#121—792no—
1762#121—794no—
1763#121—794no—
1764#121—792no—
1765#121—792no—
1766#121—794no—
1767#121—794no—
1768#121—794no—
1769#121—794no—
1770#121—794no—
1771#121—794no—
1772#121—794no—
1773#121—794no—
1774#121—794no—
1775#121—794no—
1776#121—791no—
1777#121—794no—
1778#121—794no—
1779#121—794no—
1780#121—794no—
1781#121—792no—
1782#121—794no—
1783#121—794no—
1784#121—794no—
1785#121—794no—
1786#121—794no—
1787#121—794no—
1788#121—794no—
1789#121—794no—
1790#121—792no—
1791#121—792no—
1792#121—794no—
1793#121—794no—
1794#121—791no—
1795#121—792no—
1796#121—794no—
1797#121—794no—
1798#121—794no—
1799#121—792no—
1800#121—792no—
1801#121—794no—
1802#121—794no—
1803#121—791no—
1804#121—792no—
1805#121—794no—
1806#121—794no—
1807#121—794no—
1808#121—794no—
1809#121—794no—
1810#121—792no—
1811#121—794no—
1812#121—794no—
1813#121—794no—
1814#121—794no—
1815#121—794no—
1816#121—794no—
1817#121—794no—
1818#121—794no—
1819#121—794no—
1820#121—794no—
1821#121—794no—
1822#121—794no—
1823#121—794no—
1824#121—794no—
1825#121—794no—
1826#121—794no—
1827#121—794no—
1828#121—794no—
1829#121—792no—
1830#121—792no—
1831#121—794no—
1832#121—794no—
1833#121—794no—
1834#121—794no—
1835#121—794no—
1836#121—794no—
1837#121—794no—
1838#121—794no—
1839#121—794no—
1840#121—794no—
1841#121—794no—
1842#121C22×D7912yes—
1843#121C22×D7912yes—
1844#121C22×D7914yes—
1845#121C22×D7914yes—
1846#121C22×D7911yescharacteristic
1847#121C22×D7912yes—
1848#121C22×D7914yes—
1849#121C22×D7914yes—
1850#121C22×D7914yes—
1851#120—794no—
1852#120—794no—
1853#120—794no—
1854#120—792no—
1855#120—794no—
1856#120—794no—
1857#120—794no—
1858#120—794no—
1859#120—794no—
1860#120—794no—
1861#120—794no—
1862#120—794no—
1863#120—794no—
1864#120—792no—
1865#120—794no—
1866#120—794no—
1867#120—794no—
1868#120—794no—
1869#120—794no—
1870#120—794no—
1871#120—794no—
1872#120—794no—
1873#120—794no—
1874#120—794no—
1875#120—794no—
1876#120—794no—
1877#120—794no—
1878#120—794no—
1879#120—794no—
1880#120C22×D7914yes—
1881#120C22×D7914yes—
1882#120C22×D7914yes—
1883#120C22×D7914yes—
1884#120C22×D7914yes—
1885C4×Q8—791no—
1886C4×Q8—792no—
1887C4×Q8—792no—
1888C4×Q8—792no—
1889C4×Q8—792no—
1890C4×Q8—791no—
1891C4×Q8—794no—
1892C4×Q8—792no—
1893C4×Q8—792no—
1894C4×Q8—791no—
1895C4×Q8—794no—
1896C4×Q8—792no—
1897C4×Q8C22×D7911yescharacteristic
1898C4×Q8C22×D7912yes—
1899C4×D4—792no—
1900C4×D4—792no—
1901C4×D4—792no—
1902C4×D4—791no—
1903C4×D4—794no—
1904C4×D4—794no—
1905C4×D4—792no—
1906C4×D4—794no—
1907C4×D4—794no—
1908C4×D4—792no—
1909C4×D4—792no—
1910C4×D4—792no—
1911C4×D4—794no—
1912C4×D4—794no—
1913C4×D4—794no—
1914C4×D4—794no—
1915C4×D4—794no—
1916C4×D4—794no—
1917C4×D4—794no—
1918C4×D4—792no—
1919C4×D4—792no—
1920C4×D4—792no—
1921C4×D4—792no—
1922C4×D4—792no—
1923C4×D4—791no—
1924C4×D4—794no—
1925C4×D4—794no—
1926C4×D4—792no—
1927C4×D4—794no—
1928C4×D4—794no—
1929C4×D4—794no—
1930C4×D4—794no—
1931C4×D4—794no—
1932C4×D4—794no—
1933C4×D4—794no—
1934C4×D4—794no—
1935C4×D4—794no—
1936C4×D4—794no—
1937C4×D4—792no—
1938C4×D4—792no—
1939C4×D4—792no—
1940C4×D4—792no—
1941C4×D4—792no—
1942C4×D4—792no—
1943C4×D4—792no—
1944C4×D4—794no—
1945C4×D4—794no—
1946C4×D4—794no—
1947C4×D4—794no—
1948C4×D4—794no—
1949C4×D4—794no—
1950C4×D4—794no—
1951C4×D4—792no—
1952C4×D4—792no—
1953C4×D4—792no—
1954C4×D4—791no—
1955C4×D4—794no—
1956C4×D4—794no—
1957C4×D4—792no—
1958C4×D4C22×D7912yes—
1959C4×D4C22×D7912yes—
1960C4×D4C22×D7912yes—
1961C4×D4C22×D7911yescharacteristic
1962C4×D4C22×D7914yes—
1963C4×D4C22×D7914yes—
1964C4×D4C22×D7912yes—
1965#117—792no—
1966#117—791no—
1967#117—791no—
1968#117—792no—
1969#117—792no—
1970#117—792no—
1971#117—792no—
1972#117—794no—
1973#117—794no—
1974#117—794no—
1975#117—792no—
1976#117—792no—
1977#117—794no—
1978#117—794no—
1979#117—794no—
1980#117C22×D7912yes—
1981C2×C4⋊C4—792no—
1982C2×C4⋊C4—792no—
1983C2×C4⋊C4—794no—
1984C2×C4⋊C4—794no—
1985C2×C4⋊C4—792no—
1986C2×C4⋊C4—792no—
1987C2×C4⋊C4—794no—
1988C2×C4⋊C4—794no—
1989C2×C22⋊C4—794no—
1990C2×C22⋊C4—792no—
1991C2×C22⋊C4—792no—
1992C2×C22⋊C4—794no—
1993C2×C22⋊C4—794no—
1994C2×C22⋊C4—794no—
1995C2×C22⋊C4—794no—
1996C2×C22⋊C4—794no—
1997C2×C22⋊C4—794no—
1998C2×C22⋊C4—794no—
1999C2×C22⋊C4—794no—
2000C2×C22⋊C4C22×D7912yes—
2001C2×C22⋊C4C22×D7912yes—
2002C2×C22⋊C4C22×D7914yes—
2003C2×C42—791no—
2004C2×C42—791no—
2005C2×C42—792no—
2006C2×C42—791no—
2007C2×C42—791no—
2008C2×C42—791no—
2009C2×C42—792no—
2010C2×C42—791no—
2011C2×C42—791no—
2012C2×C42—791no—
2013C2×C42—791no—
2014C2×C42—791no—
2015C2×C42—791no—
2016C2×C42C22×D7911yescharacteristic
2017C24—794no—
2018C24—794no—
2019C24—794no—
2020C24—794no—
2021C24—792no—
2022C24—791no—
2023C24C23×D7912yes—
2024C24C23×D7914yes—
2025#41—44no—
2026#41—44no—
2027#41—3164no—
2028#41—3164no—
2029#41—3168no—
2030#41—3168no—
2031#41—3168no—
2032#41—3168no—
2033#41—3164no—
2034#41—3164no—
2035#41—3168no—
2036#41—3168no—
2037#41—3168no—
2038#41—3164no—
2039#41—3164no—
2040#41—3164no—
2041#41—3164no—
2042#41—3164no—
2043#41—3164no—
2044#41—3162no—
2045#41—3164no—
2046#41—3164no—
2047#41—3162no—
2048#41—1588no—
2049#41—15816no—
2050#41—1588no—
2051#41—1588no—
2052#41—1588no—
2053C2×Q8—42no—
2054C2×Q8—3162no—
2055C2×Q8—3164no—
2056C2×Q8—791no—
2057C2×Q8—792no—
2058C2×Q8—792no—
2059C2×Q8—792no—
2060C2×Q8—792no—
2061C2×Q8—794no—
2062C2×Q8—792no—
2063C2×Q8C23×D7912yes—
2064C2×Q8C23×D7911yescharacteristic
2065C2×Q8C23×D7912yes—
2066C2×Q8C23×D7912yes—
2067C2×D4—42no—
2068C2×D4—44no—
2069C2×D4—48no—
2070C2×D4—3162no—
2071C2×D4—3164no—
2072C2×D4—3164no—
2073C2×D4—3168no—
2074C2×D4—3168no—
2075C2×D4—3168no—
2076C2×D4—3168no—
2077C2×D4—3168no—
2078C2×D4—3168no—
2079C2×D4—3168no—
2080C2×D4—3164no—
2081C2×D4—3168no—
2082C2×D4—3164no—
2083C2×D4—3164no—
2084C2×D4—3164no—
2085C2×D4—3168no—
2086C2×D4—3164no—
2087C2×D4—3168no—
2088C2×D4—3168no—
2089C2×D4—3168no—
2090C2×D4—3164no—
2091C2×D4—3168no—
2092C2×D4—3168no—
2093C2×D4—3168no—
2094C2×D4—3168no—
2095C2×D4—792no—
2096C2×D4—794no—
2097C2×D4—794no—
2098C2×D4—794no—
2099C2×D4—794no—
2100C2×D4—794no—
2101C2×D4—794no—
2102C2×D4—794no—
2103C2×D4—794no—
2104C2×D4—794no—
2105C2×D4—794no—
2106C2×D4—794no—
2107C2×D4—794no—
2108C2×D4—794no—
2109C2×D4—794no—
2110C2×D4—794no—
2111C2×D4—794no—
2112C2×D4—794no—
2113C2×D4—792no—
2114C2×D4—792no—
2115C2×D4—792no—
2116C2×D4—792no—
2117C2×D4—794no—
2118C2×D4—794no—
2119C2×D4—794no—
2120C2×D4—794no—
2121C2×D4—791no—
2122C2×D4—792no—
2123C2×D4—792no—
2124C2×D4—794no—
2125C2×D4—792no—
2126C2×D4—792no—
2127C2×D4—794no—
2128C2×D4—794no—
2129C2×D4—794no—
2130C2×D4—794no—
2131C2×D4—794no—
2132C2×D4—794no—
2133C2×D4—794no—
2134C2×D4—792no—
2135C2×D4—792no—
2136C2×D4—792no—
2137C2×D4—1588no—
2138C2×D4—1588no—
2139C2×D4C23×D7914yes—
2140C2×D4C23×D7912yes—
2141C2×D4C23×D7912yes—
2142C2×D4C23×D7912yes—
2143C2×D4C23×D7911yescharacteristic
2144C2×D4C23×D7912yes—
2145C2×D4C23×D7914yes—
2146C2×D4C23×D7912yes—
2147C2×D4C23×D7912yes—
2148C2×D4C23×D7914yes—
2149C2×D4C23×D7914yes—
2150C2×D4C23×D7914yes—
2151C2×D4C23×D7914yes—
2152C22×C4—3162no—
2153C22×C4—3164no—
2154C22×C4—3168no—
2155C22×C4—3164no—
2156C22×C4—792no—
2157C22×C4—794no—
2158C22×C4—794no—
2159C22×C4—794no—
2160C22×C4—791no—
2161C22×C4—791no—
2162C22×C4—794no—
2163C22×C4—794no—
2164C22×C4—794no—
2165C22×C4—794no—
2166C22×C4—794no—
2167C22×C4—794no—
2168C22×C4—794no—
2169C22×C4—791no—
2170C22×C4—791no—
2171C22×C4—791no—
2172C22×C4—791no—
2173C22×C4—792no—
2174C22×C4—792no—
2175C22×C4—794no—
2176C22×C4—794no—
2177C22×C4—791no—
2178C22×C4—791no—
2179C22×C4—791no—
2180C22×C4—791no—
2181C22×C4—791no—
2182C22×C4—791no—
2183C22×C4—791no—
2184C22×C4—791no—
2185C22×C4—791no—
2186C22×C4—792no—
2187C22×C4—792no—
2188C22×C4—792no—
2189C22×C4—794no—
2190C22×C4—794no—
2191C22×C4—1584no—
2192C22×C4—1584no—
2193C22×C4C23×D7911yescharacteristic
2194C22×C4C23×D7911yescharacteristic
2195C22×C4C23×D7912yes—
2196C22×C4C23×D7911yescharacteristic
2197C22×C4C23×D7914yes—
2198C22×C4C23×D7914yes—
2199C22×C4C23×D7912yes—
2200C22×C4C23×D7914yes—
2201C4⋊C4—792no—
2202C4⋊C4—792no—
2203C4⋊C4—794no—
2204C4⋊C4—794no—
2205C4⋊C4—794no—
2206C4⋊C4—794no—
2207C4⋊C4—794no—
2208C4⋊C4—794no—
2209C4⋊C4—794no—
2210C4⋊C4—794no—
2211C4⋊C4—794no—
2212C4⋊C4—794no—
2213C4⋊C4—792no—
2214C4⋊C4—792no—
2215C4⋊C4—792no—
2216C4⋊C4—792no—
2217C4⋊C4—792no—
2218C4⋊C4—792no—
2219C4⋊C4—792no—
2220C4⋊C4—792no—
2221C4⋊C4—792no—
2222C4⋊C4—792no—
2223C4⋊C4—794no—
2224C4⋊C4—794no—
2225C4⋊C4—792no—
2226C4⋊C4—792no—
2227C4⋊C4—791no—
2228C4⋊C4—791no—
2229C4⋊C4C23×D7912yes—
2230C4⋊C4C23×D7912yes—
2231C4⋊C4C23×D7914yes—
2232C4⋊C4C23×D7914yes—
2233C4⋊C4C23×D7912yes—
2234C4⋊C4C23×D7911yescharacteristic
2235C4⋊C4C23×D7912yes—
2236C4⋊C4C23×D7911yescharacteristic
2237C4⋊C4C23×D7912yes—
2238C4⋊C4C23×D7912yes—
2239C22⋊C4—792no—
2240C22⋊C4—794no—
2241C22⋊C4—794no—
2242C22⋊C4—794no—
2243C22⋊C4—794no—
2244C22⋊C4—794no—
2245C22⋊C4—792no—
2246C22⋊C4—792no—
2247C22⋊C4—794no—
2248C22⋊C4—794no—
2249C22⋊C4—792no—
2250C22⋊C4—792no—
2251C22⋊C4—794no—
2252C22⋊C4—794no—
2253C22⋊C4—794no—
2254C22⋊C4—794no—
2255C22⋊C4—794no—
2256C22⋊C4—794no—
2257C22⋊C4—794no—
2258C22⋊C4—794no—
2259C22⋊C4—794no—
2260C22⋊C4—794no—
2261C22⋊C4—794no—
2262C22⋊C4—794no—
2263C22⋊C4—794no—
2264C22⋊C4—794no—
2265C22⋊C4—792no—
2266C22⋊C4—792no—
2267C22⋊C4—792no—
2268C22⋊C4—792no—
2269C22⋊C4—792no—
2270C22⋊C4—792no—
2271C22⋊C4—794no—
2272C22⋊C4—794no—
2273C22⋊C4—794no—
2274C22⋊C4—794no—
2275C22⋊C4—792no—
2276C22⋊C4—792no—
2277C22⋊C4C23×D7912yes—
2278C22⋊C4C23×D7914yes—
2279C22⋊C4C23×D7914yes—
2280C22⋊C4C23×D7914yes—
2281C22⋊C4C23×D7914yes—
2282C22⋊C4C23×D7914yes—
2283C22⋊C4C23×D7914yes—
2284C22⋊C4C23×D7914yes—
2285C22⋊C4C23×D7914yes—
2286C22⋊C4C23×D7914yes—
2287C22⋊C4C23×D7912yes—
2288C22⋊C4C23×D7912yes—
2289C22⋊C4C23×D7914yes—
2290C22⋊C4C23×D7914yes—
2291C22⋊C4C23×D7912yes—
2292C22⋊C4C23×D7912yes—
2293C42—791no—
2294C42—791no—
2295C42—791no—
2296C42—791no—
2297C42—791no—
2298C42—791no—
2299C42—791no—
2300C42—791no—
2301C42—791no—
2302C42—791no—
2303C42—791no—
2304C42—791no—
2305C42—792no—
2306C42—792no—
2307C42—792no—
2308C42—792no—
2309C42—792no—
2310C42—794no—
2311C42—794no—
2312C42—794no—
2313C42C23×D7911yescharacteristic
2314C42C23×D7911yescharacteristic
2315C42C23×D7911yescharacteristic
2316C42C23×D7911yescharacteristic
2317C42C23×D7912yes—
2318C42C23×D7914yes—
2319C23—24no—
2320C23—42no—
2321C23—42no—
2322C23—44no—
2323C23—44no—
2324C23—44no—
2325C23—3161no—
2326C23—3162no—
2327C23—3164no—
2328C23—3162no—
2329C23—3164no—
2330C23—3164no—
2331C23—3164no—
2332C23—3164no—
2333C23—3164no—
2334C23—3164no—
2335C23—3164no—
2336C23—3164no—
2337C23—3164no—
2338C23—3164no—
2339C23—791no—
2340C23—792no—
2341C23—794no—
2342C23—794no—
2343C23—791no—
2344C23—1582no—
2345C23—1588no—
2346C23—1582no—
2347C23—1584no—
2348C23C24×D7912yes—
2349C23C24×D7914yes—
2350C23C24×D7914yes—
2351C23C24×D7911yescharacteristic
2352Q8—24no—
2353Q8—42no—
2354Q8—42no—
2355Q8—41no—
2356Q8—3162no—
2357Q8—3162no—
2358Q8—3161no—
2359Q8—1588no—
2360Q8—1584no—
2361Q8—1584no—
2362Q8—1584no—
2363D4—24no—
2364D4—28no—
2365D4—24no—
2366D4—24no—
2367D4—44no—
2368D4—44no—
2369D4—44no—
2370D4—42no—
2371D4—44no—
2372D4—42no—
2373D4—44no—
2374D4—42no—
2375D4—41no—
2376D4—3164no—
2377D4—3164no—
2378D4—3164no—
2379D4—3164no—
2380D4—3162no—
2381D4—3162no—
2382D4—3164no—
2383D4—3164no—
2384D4—3162no—
2385D4—3164no—
2386D4—3161no—
2387D4—3162no—
2388D4—3164no—
2389D4—3164no—
2390D4—3164no—
2391D4—3164no—
2392D4—3164no—
2393D4—3164no—
2394D4—3164no—
2395D4—3164no—
2396D4—3164no—
2397D4—3164no—
2398D4—3164no—
2399D4—3164no—
2400D4—3164no—
2401D4—3162no—
2402D4—1584no—
2403D4—1588no—
2404D4—1584no—
2405D4—1584no—
2406D4—1588no—
2407D4—1588no—
2408D4—1588no—
2409D4—1588no—
2410D4—1588no—
2411D4—1588no—
2412D4—1584no—
2413D4—1588no—
2414D4—1584no—
2415D4—1588no—
2416D4—1584no—
2417D4—1584no—
2418C2×C4—22no—
2419C2×C4—22no—
2420C2×C4—24no—
2421C2×C4—41no—
2422C2×C4—42no—
2423C2×C4—44no—
2424C2×C4—44no—
2425C2×C4—44no—
2426C2×C4—3164no—
2427C2×C4—3164no—
2428C2×C4—3164no—
2429C2×C4—3161no—
2430C2×C4—3161no—
2431C2×C4—3164no—
2432C2×C4—3164no—
2433C2×C4—3164no—
2434C2×C4—3164no—
2435C2×C4—3162no—
2436C2×C4—3164no—
2437C2×C4—3164no—
2438C2×C4—3164no—
2439C2×C4—794no—
2440C2×C4—791no—
2441C2×C4—791no—
2442C2×C4—791no—
2443C2×C4—791no—
2444C2×C4—794no—
2445C2×C4—792no—
2446C2×C4—791no—
2447C2×C4—791no—
2448C2×C4—794no—
2449C2×C4—794no—
2450C2×C4—792no—
2451C2×C4—792no—
2452C2×C4—1582no—
2453C2×C4—1582no—
2454C2×C4—1588no—
2455C2×C4—1588no—
2456C2×C4—1582no—
2457C2×C4—1582no—
2458C2×C4—1582no—
2459C2×C4—1582no—
2460C2×C4—1582no—
2461C2×C4—1584no—
2462C2×C4—1584no—
2463C2×C4—1582no—
2464C2×C4—1582no—
2465C2×C4—1582no—
2466C2×C4—1588no—
2467C2×C4—1588no—
2468C2×C4—1584no—
2469C2×C4—1584no—
2470C2×C4—1582no—
2471C2×C4—1584no—
2472C2×C4C24×D7912yes—
2473C2×C4C24×D7911yescharacteristic
2474C2×C4C24×D7911yescharacteristic
2475C2×C4C24×D7911yescharacteristic
2476C2×C4C24×D7911yescharacteristic
2477C2×C4C24×D7911yescharacteristic
2478C2×C4C24×D7912yes—
2479C2×C4C24×D7914yes—
2480C2×C4C24×D7912yes—
2481C2×C4C24×D7914yes—
2482C2×C4C24×D7911yescharacteristic
2483C22—21no—
2484C22—21no—
2485C22—22no—
2486C22—24no—
2487C22—24no—
2488C22—24no—
2489C22—24no—
2490C22—22no—
2491C22—22no—
2492C22—24no—
2493C22—24no—
2494C22—84no—
2495C22—164no—
2496C22—3164no—
2497C22—792no—
2498C22—6324no—
2499C22—6328no—
2500C22—1584no—
2501C22—1584no—
2502C22—1584no—
2503C22—1584no—
2504C22—1581no—
2505C22—1581no—
2506C22—1582no—
2507C22—1582no—
2508C22—1581no—
2509C22—1582no—
2510C22—1584no—
2511C22—1584no—
2512C22—1581no—
2513C22—1581no—
2514C22—12644no—
2515C22—12644no—
2516C22—12644no—
2517C22H(5,𝔽2)×D7912yes—
2518C22C25×D7911yescharacteristic
2519C4—21no—
2520C4—22no—
2521C4—21no—
2522C4—21no—
2523C4—22no—
2524C4—24no—
2525C4—24no—
2526C4—21no—
2527C4—21no—
2528C4—22no—
2529C4—792no—
2530C4—792no—
2531C4—792no—
2532C4—792no—
2533C4—1581no—
2534C4—1582no—
2535C4—1582no—
2536C4—1584no—
2537C4—1584no—
2538C4—1581no—
2539C4—1582no—
2540C4H(5,𝔽2)×D7912yes—
2541C2—22no—
2542C2—44no—
2543C2—42no—
2544C2—44no—
2545C2—3161no—
2546C2—3164no—
2547C2—3164no—
2548C2—3162no—
2549C2—1582no—
2550C2C2×H(5,𝔽2)×D7911yescharacteristic
2551C2C2×H(5,𝔽2)×D7911yescharacteristic
2552C2#585×D7911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3558C2
hypercenter#3558D79
hypocenterC79#62834
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3558

Complements

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

NH ≅ G/Ntype
1. #23777923C2semidirect
2. #23777922C2semidirect
3. #23777919C2semidirect
4. #23777916C2semidirect
5. #23777913C2semidirect
6. #23777804C2semidirect
7. #23777796C2semidirect
8. #23777769C2semidirect
9. #23777765C2semidirect
10. #23777761C2semidirect
11. #23777637C2semidirect
12. #23777632C2semidirect
13. #23777424C2semidirect
14. #23777421C2semidirect
15. #23777306C2semidirect
16. #23777305C2semidirect
17. #23777273C2semidirect
18. #23777268C2semidirect
19. #23777248C2semidirect
20. #23777247C2semidirect
21. #23777175C2semidirect
22. #23777172C2semidirect
23. #23777161C2semidirect
24. #23777160C2semidirect
25. #23777066C2semidirect
26. #23777063C2semidirect
27. #23777060C2semidirect
28. #23776694C2semidirect
29. C2×#19099112C2semidirect
30. #532×D79C2semidirect
31. C79×#3558C2semidirect
32. C2×#14579207C22semidirect
33. C2×#14579206C22semidirect
34. C2×#14579206C22semidirect
35. C22×#11929625C22semidirect
36. C22×#11929623C22semidirect
37. C2×#41×D79C22semidirect
38. #19099311C22semidirect
39. #19099307C22semidirect
40. #19099307C22semidirect
41. #19099305C22semidirect
42. #19099305C22semidirect
43. #19099305C22semidirect
44. #19099304C22semidirect
45. #19099303C22semidirect
46. #19099302C22semidirect
47. #19099301C22semidirect
48. #19099298C22semidirect
49. #19099297C22semidirect
50. #19099296C22semidirect
51. #19099295C22semidirect
52. #19099295C22semidirect
53. #19099285C22semidirect
54. #19099282C22semidirect
55. #19099280C22semidirect
56. #19099275C22semidirect
57. #19099275C22semidirect
58. #19099275C22semidirect
59. #19099267C22semidirect
60. #19099267C22semidirect
61. #19099264C22semidirect
62. #19099264C22semidirect
63. #19099262C22semidirect
64. #19099262C22semidirect
65. #19099258C22semidirect
66. #19099258C22semidirect
67. #19099256C22semidirect
68. #19099256C22semidirect
69. #19099235C22semidirect
70. #19099234C22semidirect
71. #19099234C22semidirect
72. #19099233C22semidirect
73. #19099233C22semidirect
74. #19099232C22semidirect
75. #19099231C22semidirect
76. #19099231C22semidirect
77. #19099231C22semidirect
78. #19099231C22semidirect
79. #19099231C22semidirect
80. #19099224C22semidirect
81. #19099223C22semidirect
82. #19099222C22semidirect
83. #19099221C22semidirect
84. #19099219C22semidirect
85. #19099215C22semidirect
86. #19099212C22semidirect
87. #19099211C22semidirect
88. #19099211C22semidirect
89. #19099211C22semidirect
90. #19099209C22semidirect
91. #19099208C22semidirect
92. #19099208C22semidirect
93. #19099207C22semidirect
94. #19099206C22semidirect
95. #19099206C22semidirect
96. #19099206C22semidirect
97. #19099205C22semidirect
98. #19099205C22semidirect
99. #19099205C22semidirect
100. #19099205C22semidirect
101. #19099204C22semidirect
102. #19099204C22semidirect
103. #19099203C22semidirect
104. #19099203C22semidirect
105. #19099203C22semidirect
106. #19099202C22semidirect
107. #19099202C22semidirect
108. #19099201C22semidirect
109. #19099200C22semidirect
110. #19099200C22semidirect
111. #19099200C22semidirect
112. D4×D316C22semidirect
113. D4×D316C22semidirect
114. #19099197C22semidirect
115. #19099197C22semidirect
116. #19099197C22semidirect
117. #19099197C22semidirect
118. #19099197C22semidirect
119. D4×C22⋊D79C22semidirect
120. D4×C22⋊D79C22semidirect
121. D4×C22⋊D79C22semidirect
122. D4×C22⋊D79C22semidirect
123. #19099195C22semidirect
124. #19099195C22semidirect
125. #19099195C22semidirect
126. #19099195C22semidirect
127. #19099195C22semidirect
128. #19099195C22semidirect
129. #19099195C22semidirect
130. #19099195C22semidirect
131. #19099187C22semidirect
132. #19099184C22semidirect
133. #19099183C22semidirect
134. #19099182C22semidirect
135. #19099177C22semidirect
136. #19099165C22semidirect
137. #19099165C22semidirect
138. #19099165C22semidirect
139. #19099163C22semidirect
140. #19099153C22semidirect
141. #19099153C22semidirect
142. #19099152C22semidirect
143. #19099151C22semidirect
144. #19099150C22semidirect
145. #19099149C22semidirect
146. #19099148C22semidirect
147. #19099147C22semidirect
148. #19099147C22semidirect
149. #19099147C22semidirect
150. #19099146C22semidirect
151. #19099145C22semidirect
152. #19099143C22semidirect
153. #19099143C22semidirect
154. #19099143C22semidirect
155. #19099142C22semidirect
156. #19099140C22semidirect
157. #19099140C22semidirect
158. #19099140C22semidirect
159. #19099132C22semidirect
160. #19099131C22semidirect
161. #19099131C22semidirect
162. #19099131C22semidirect
163. #19099131C22semidirect
164. #19099131C22semidirect
165. #19099129C22semidirect
166. #19099128C22semidirect
167. #19099128C22semidirect
168. #19099128C22semidirect
169. #19099128C22semidirect
170. #19099128C22semidirect
171. #19099126C22semidirect
172. #19099126C22semidirect
173. #19099125C22semidirect
174. #19099124C22semidirect
175. #19099123C22semidirect
176. #19099121C22semidirect
177. #19099121C22semidirect
178. #19099119C22semidirect
179. #19099117C22semidirect
180. #19099117C22semidirect
181. #19099115C22semidirect
182. #19099115C22semidirect
183. #19099114C22semidirect
184. #19099113C22semidirect
185. #19099112C22semidirect
186. #19099112C22semidirect
187. #19099112C22semidirect
188. #19099112C22semidirect
189. #19099112C22semidirect
190. #19099112C22semidirect
191. #19099112C22semidirect
192. #19099112C22semidirect
193. #19099112C22semidirect
194. #19099112C22semidirect
195. #19099112C22semidirect
196. #19099111C22semidirect
197. #19099110C22semidirect
198. #19099110C22semidirect
199. #19099110C22semidirect
200. #19099110C22semidirect
201. #19099109C22semidirect
202. #19099109C22semidirect
203. #19099108C22semidirect
204. #19099108C22semidirect
205. #19099108C22semidirect
206. #19099108C22semidirect
207. C2×#14579159C22semidirect
208. C4⋊Q8×D79C22semidirect
209. C2×#14579157C22semidirect
210. C2×#14579157C22semidirect
211. #127×D79C22semidirect
212. #127×D79C22semidirect
213. #19099098C22semidirect
214. #19099097C22semidirect
215. #19099096C22semidirect
216. #19099096C22semidirect
217. #19099092C22semidirect
218. #19099091C22semidirect
219. #19099090C22semidirect
220. C2×#14579149C22semidirect
221. #124×D79C22semidirect
222. #19099076C22semidirect
223. #19099073C22semidirect
224. #19099072C22semidirect
225. #19099072C22semidirect
226. #19099072C22semidirect
227. #19099071C22semidirect
228. #19099071C22semidirect
229. #19099069C22semidirect
230. C2×#14579134C22semidirect
231. C2×#14579134C22semidirect
232. C2×#14579134C22semidirect
233. C2×#14579133C22semidirect
234. #121×D79C22semidirect
235. #121×D79C22semidirect
236. #121×D79C22semidirect
237. #121×D79C22semidirect
238. #19099045C22semidirect
239. #19099042C22semidirect
240. #19099042C22semidirect
241. #19099036C22semidirect
242. #19099035C22semidirect
243. C4×#11929625C22semidirect
244. #19099031C22semidirect
245. C4×#11929623C22semidirect
246. C4×#11929623C22semidirect
247. C2×(C22⋊D79)⋊C4C22semidirect
248. C2×(C22⋊D79)⋊C4C22semidirect
249. C4×D4×D79C22semidirect
250. C4×D4×D79C22semidirect
251. C2×C42×D79C22semidirect
252. #562×C79C22semidirect
253. H(3,𝔽4)×C79C22semidirect
254. #559×C79C22semidirect
255. #548×C79C22semidirect
256. #546×C79C22semidirect
257. #546×C79C22semidirect
258. D42×C79C22semidirect
259. #542×C79C22semidirect
260. #538×C79C22semidirect
261. #538×C79C22semidirect
262. #535×C79C22semidirect
263. #534×C79C22semidirect
264. #532×C79C22semidirect
265. #529×C79C22semidirect
266. C2×#124×C79C22semidirect
1147. C2×Dic79H(5,𝔽2)semidirect
1198. C4×D79H(5,𝔽2)semidirect
1282. #3558D79semidirect
1308. C79#62834semidirect
1318. #562C2×D79semidirect
1322. H(3,𝔽4)C2×D79semidirect
1332. #559C2×D79semidirect
1365. #548C2×D79semidirect
1393. #546C2×D79semidirect
1394. #546C2×D79semidirect
1414. D42C2×D79semidirect
1420. #542C2×D79semidirect
1437. #538C2×D79semidirect
1438. #538C2×D79semidirect
1460. #535C2×D79semidirect
1466. #534C2×D79semidirect
1496. #532C2×D79semidirect
1510. #529C2×D79semidirect
1513. C2×#124C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779232
#237779222
#237779192
#237779162
#237779132
#237778042
#237777962
#237777692
#237777652
#237777612
#237776372
#237776322
#237774242
#237774212
#237773062
#237773052
#237772732
#237772682
#237772482
#237772472
#237771752
#237771722
#237771612
#237771602
#237770662
#237770632
#237770602
#237766942
C2×#190991122
#532×D792
C79×#35582
#6283479