Finite Group Databasebeta

← #35197426

Subgroups — #35197426

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#23777503C212yesmaximal, complemented
2#23777477C212yesmaximal, complemented
3#23777464C214yesmaximal, complemented
4#23777462C212yesmaximal, complemented
5#23777447C212yesmaximal, complemented
6#23777437C214yesmaximal, complemented
7#23777413C212yesmaximal, complemented
8#23777383C212yesmaximal, complemented
9#23777356C212yesmaximal, complemented
10#23777353C214yesmaximal, complemented
11#23777338C212yesmaximal, complemented
12#23777326C214yesmaximal, complemented
13#23777309C211yesmaximal, characteristic, complemented
14#23777301C212yesmaximal, complemented
15#23777295C211yesmaximal, characteristic, complemented
16#23777289C212yesmaximal, complemented
17#23777215C211yesmaximal, characteristic, complemented
18#23777192C211yesmaximal, characteristic, complemented
19#23777155C211yesmaximal, characteristic, complemented
20#23777140C212yesmaximal, complemented
21#23777132C211yesmaximal, characteristic, complemented
22#23777130C212yesmaximal, complemented
23#23777075C211yesmaximal, characteristic, complemented
24#23777067C211yesmaximal, characteristic, complemented
25#23776827C211yesmaximal, characteristic, complemented
26#23776826C212yesmaximal, complemented
27#23776815C212yesmaximal, complemented
28#23776785C211yesmaximal, characteristic, complemented
29#23776784C212yesmaximal, complemented
30C2×#19099178C211yesmaximal, characteristic, complemented
31#542×D79C212yesmaximal, complemented
32C4×#14579208C211yesmaximal, characteristic, complemented
33C4×#14579206C211yesmaximal, characteristic, complemented
34#23776599C211yesmaximal, characteristic, complemented
35C79×#3460C211yesmaximal, characteristic, complemented
36C2×#14579208C2211yescharacteristic
37C2×#14579206C2211yescharacteristic
38C2×#41×D79C2211yescharacteristic
39#19099299C2212yescomplemented
40#19099299C2212yescomplemented
41#19099297C2214yescomplemented
42#19099296C2214yescomplemented
43#19099293C2212yescomplemented
44#19099290C2212yescomplemented
45#19099287C2212yescomplemented
46#19099284C2212yescomplemented
47#19099282C2212yescomplemented
48#19099282C2212yescomplemented
49#19099282C2214yescomplemented
50#19099281C2214yescomplemented
51#19099280C2214yescomplemented
52#19099280C2214yescomplemented
53#19099277C2214yescomplemented
54#19099277C2212yescomplemented
55#19099277C2212yescomplemented
56#19099275C2214yescomplemented
57#19099274C2212yescomplemented
58#19099272C2214yescomplemented
59#19099272C2214yescomplemented
60#19099271C2212yescomplemented
61#19099269C2212yescomplemented
62#19099267C2214yescomplemented
63#19099265C2212yescomplemented
64#19099263C2214yescomplemented
65#19099262C2214yescomplemented
66#19099260C2214yescomplemented
67#19099260C2212yescomplemented
68#19099256C2214yescomplemented
69#19099256C2214yescomplemented
70#19099255C2214yescomplemented
71#19099252C2214yescomplemented
72#19099251C2212yescomplemented
73#19099251C2212yescomplemented
74#19099250C2214yescomplemented
75#19099249C2214yescomplemented
76#19099246C2214yescomplemented
77#19099244C2214yescomplemented
78#19099244C2214yescomplemented
79#19099244C2214yescomplemented
80#19099243C2214yescomplemented
81#19099242C2214yescomplemented
82#19099242C2214yescomplemented
83#19099242C2214yescomplemented
84#19099241C2214yescomplemented
85#19099240C2214yescomplemented
86#19099238C2214yescomplemented
87#19099237C2214yescomplemented
88#19099236C2214yescomplemented
89#19099233C2212yes—
90#19099228C2212yescomplemented
91#19099226C2212yescomplemented
92#19099226C2214yescomplemented
93#19099221C2212yes—
94#19099221C2214yescomplemented
95#19099220C2214yescomplemented
96#19099219C2214yescomplemented
97#19099219C2212yescomplemented
98#19099219C2212yescomplemented
99#19099219C2212yescomplemented
100#19099215C2212yescomplemented
101#19099213C2212yescomplemented
102#19099213C2214yescomplemented
103#19099213C2212yescomplemented
104#19099212C2214yescomplemented
105#19099212C2214yescomplemented
106#19099210C2212yescomplemented
107#19099210C2212yescomplemented
108#19099210C2212yescomplemented
109#19099206C2212yes—
110#19099202C2214yescomplemented
111#19099202C2214yescomplemented
112#19099201C2214yescomplemented
113#19099200C2214yes—
114#19099200C2214yescomplemented
115#19099200C2214yescomplemented
116#19099200C2214yescomplemented
117#19099198C2212yes—
118#19099195C2214yes—
119#19099193C2212yescomplemented
120#19099191C2211yescharacteristic, complemented
121#19099190C2212yescomplemented
122#19099187C2212yescomplemented
123#19099186C2212yescomplemented
124#19099185C2211yescharacteristic, complemented
125#19099185C2211yescharacteristic, complemented
126#19099184C2212yescomplemented
127#19099183C2214yescomplemented
128#19099182C2212yescomplemented
129#19099181C2214yescomplemented
130#19099181C2214yescomplemented
131#19099180C2212yescomplemented
132#19099180C2212yescomplemented
133#19099180C2212yescomplemented
134#19099179C2214yescomplemented
135#19099178C2212yescomplemented
136#19099178C2212yescomplemented
137#19099178C2212yescomplemented
138#19099178C2212yescomplemented
139#19099178C2212yescomplemented
140#19099178C2212yescomplemented
141#19099178C2212yescomplemented
142#19099178C2212yescomplemented
143#19099178C2211yescharacteristic, complemented
144#19099178C2211yescharacteristic, complemented
145#19099178C2212yescomplemented
146#19099177C2214yescomplemented
147#19099177C2214yescomplemented
148#19099176C2212yescomplemented
149#19099175C2212yescomplemented
150#19099171C2211yescharacteristic, complemented
151#19099171C2211yescharacteristic, complemented
152#19099171C2212yescomplemented
153#19099170C2214yescomplemented
154#19099167C2212yescomplemented
155#19099164C2211yescharacteristic, complemented
156#19099164C2211yescharacteristic, complemented
157#19099163C2214yescomplemented
158#19099159C2214yescomplemented
159#19099156C2214yescomplemented
160#19099156C2214yescomplemented
161#19099156C2214yescomplemented
162#19099155C2212yescomplemented
163#19099155C2212yescomplemented
164#19099155C2214yescomplemented
165#19099149C2214yescomplemented
166#19099146C2212yescomplemented
167#19099146C2212yescomplemented
168#19099145C2214yescomplemented
169#19099145C2214yescomplemented
170#19099145C2214yescomplemented
171#19099142C2212yes—
172#19099142C2212yescomplemented
173#19099141C2211yescharacteristic
174#19099139C2211yescharacteristic, complemented
175#19099136C2212yescomplemented
176#19099134C2211yescharacteristic, complemented
177#19099133C2212yescomplemented
178#19099129C2212yes—
179#19099126C2212yescomplemented
180#19099120C2212yescomplemented
181#19099119C2212yescomplemented
182#19099118C2212yescomplemented
183#19099117C2212yescomplemented
184#19099116C2211yescharacteristic, complemented
185#19099115C2212yescomplemented
186#19099115C2214yescomplemented
187#19099111C2212yescomplemented
188#19099111C2212yescomplemented
189#19099109C2211yescharacteristic, complemented
190#19099108C2212yescomplemented
191#19099108C2214yescomplemented
192C2×#14579160C2211yescharacteristic, complemented
193C4⋊Q8×D79C2212yescomplemented
194#19099098C2212yescomplemented
195#19099097C2212yescomplemented
196#19099097C2212yescomplemented
197#19099097C2212yescomplemented
198#19099096C2214yescomplemented
199#19099095C2212yescomplemented
200#19099094C2212yescomplemented
201#19099094C2212yescomplemented
202#19099094C2214yescomplemented
203#19099094C2214yescomplemented
204#19099093C2214yescomplemented
205#19099092C2212yescomplemented
206#19099092C2214yescomplemented
207#19099091C2212yescomplemented
208#19099091C2212yescomplemented
209#19099090C2214yescomplemented
210#19099090C2214yescomplemented
211#19099090C2214yescomplemented
212#19099090C2214yescomplemented
213C2×#14579154C2212yescomplemented
214#126×D79C2214yescomplemented
215C2×#14579148C2211yescharacteristic, complemented
216C2×#14579147C2212yescomplemented
217#124×D79C2212yescomplemented
218#124×D79C2214yescomplemented
219#19099075C2211yescharacteristic
220#19099073C2212yes—
221#19099073C2212yescomplemented
222#19099073C2214yescomplemented
223#19099071C2214yescomplemented
224#19099070C2211yescharacteristic, complemented
225C2×#14579144C2212yescomplemented
226#123×D79C2214yescomplemented
227C2×#14579141C2211yescharacteristic, complemented
228C2×#14579140C2212yescomplemented
229C22⋊Q8×D79C2212yescomplemented
230C22⋊Q8×D79C2214yescomplemented
231C2×#14579132C2211yescharacteristic
232#121×D79C2212yes—
233#19099046C2211yescharacteristic, complemented
234#19099045C2211yescharacteristic, complemented
235#19099045C2211yescharacteristic, complemented
236#19099044C2211yescharacteristic
237#19099044C2211yescharacteristic, complemented
238#19099043C2211yescharacteristic
239#19099043C2212yescomplemented
240#19099042C2212yescomplemented
241#19099042C2212yescomplemented
242#19099042C2214yescomplemented
243#19099042C2212yescomplemented
244#19099042C2212yescomplemented
245#19099042C2211yescharacteristic, complemented
246#19099042C2211yescharacteristic, complemented
247#19099042C2212yescomplemented
248#19099040C2211yescharacteristic, complemented
249#19099040C2212yescomplemented
250#19099039C2212yescomplemented
251#19099039C2211yescharacteristic, complemented
252#19099039C2211yescharacteristic, complemented
253#19099038C2211yescharacteristic, complemented
254#19099036C2214yescomplemented
255#19099035C2212yescomplemented
256#19099035C2212yescomplemented
257#19099035C2211yescharacteristic, complemented
258#19099035C2212yescomplemented
259#19099035C2211yescharacteristic, complemented
260#19099035C2212yescomplemented
261#41×Dic79C2211yescharacteristic, complemented
262C4×#11929624C2211yescharacteristic
263C4×#11929624C2212yescomplemented
264C4×#11929624C2211yescharacteristic, complemented
265C4×#11929624C2212yescomplemented
266#19099031C2211yescharacteristic
267#19099031C2212yescomplemented
268C4×#11929623C2212yescomplemented
269C4×#11929623C2212yescomplemented
270C4×#11929623C2214yescomplemented
271C4×#11929623C2212yescomplemented
272C2×C4×Dic158C2211yescharacteristic, complemented
273C2×C4×Dic158C2212yescomplemented
274C4×Q8×D79C2212yescomplemented
275C2×C4×C22⋊D79C2214yescomplemented
276C4×D4×D79C2212yescomplemented
277C4×D4×D79C2212yescomplemented
278C2×#14579118C2211yescharacteristic, complemented
279C2×#14579118C2212yescomplemented
280#117×D79C2212yescomplemented
281#117×D79C2211yescharacteristic, complemented
282#544×C79C2211yescharacteristic, complemented
283#542×C79C2212yescomplemented
284#542×C79C2212yescomplemented
285#540×C79C2212yescomplemented
286#540×C79C2212yescomplemented
287#538×C79C2214yescomplemented
288#537×C79C2211yescharacteristic, complemented
289#535×C79C2211yescharacteristic
290#535×C79C2211yescharacteristic, complemented
291#532×C79C2212yescomplemented
292#532×C79C2212yescomplemented
293#529×C79C2212yescomplemented
294#529×C79C2212yescomplemented
295#525×C79C2214yescomplemented
296C4×#41×C79C2211yescharacteristic, complemented
297C4×#41×C79C2211yescharacteristic, complemented
298C2×C4×D4×C79C2211yescharacteristic, complemented
299#14579208—28no—
300#14579206—28no—
301C2×#11929625C2311yescharacteristic
302C2×#11929624C2312yes—
303C2×#11929624C2311yescharacteristic
304C2×#11929624C2312yes—
305C2×#11929624C2311yescharacteristic
306C2×#11929623C2312yes—
307C2×#11929623C2312yes—
308C2×#11929623C2312yes—
309C2×#11929623C2314yes—
310C2×#11929623C2312yes—
311C2×#11929623C2311yescharacteristic
312C2×#11929623C2314yes—
313C2×#11929623C2314yes—
314#41×D79—28no—
315C22×Dic158C2311yescharacteristic
316C22×Dic158C2312yes—
317C22×Dic158C2312yes—
318C2×Q8×D79C2312yes—
319C2×Q8×D79C2311yescharacteristic
320C2×Q8×D79C2314yes—
321C22×C22⋊D79C2314yes—
322C22×C22⋊D79C2312yes—
323C2×D4×D79C2312yes—
324C2×D4×D79C2312yes—
325C2×D4×D79C2312yes—
326C2×D4×D79C2311yescharacteristic
327C2×D4×D79C2314yes—
328C22×C4×D79C2312yes—
329C22×C4×D79C2311yescharacteristic
330C22×C4×D79C2314yes—
331#14579161C2312yes—
332#14579161C2312yes—
333#14579160C2314yes—
334#14579160C2312yes—
335#14579160C2312yes—
336#14579160C2312yes—
337#14579160C2312yes—
338#14579160C2311yescharacteristic
339#14579160C2311yescharacteristic
340#14579160C2312yes—
341#14579160C2314yes—
342#14579160C2314yes—
343#14579159C2311yescharacteristic
344#14579159C2312yes—
345#14579159C2314yes—
346#14579159C2314yes—
347#14579157C2314yes—
348#14579157C2311yescharacteristic
349#14579156C2314yes—
350#14579156C2314yes—
351#14579156C2314yes—
352#14579156C2312yes—
353#14579156C2312yes—
354#14579156C2314yes—
355#14579156C2314yes—
356#14579156C2314yes—
357#14579155C2312yes—
358#14579155C2312yes—
359#14579155C2314yes—
360#14579155C2312yes—
361#14579155C2312yes—
362#14579154C2314yes—
363#14579154C2314yes—
364#14579154C2314yes—
365#14579154C2314yes—
366#14579154C2312yes—
367#14579154C2312yes—
368#14579154C2314yes—
369#14579154C2314yes—
370#14579154C2314yes—
371#14579154C2314yes—
372#14579154C2314yes—
373#14579154C2314yes—
374#14579154C2314yes—
375#14579154C2314yes—
376#14579154C2314yes—
377#14579153C2312yes—
378#14579153C2314yes—
379#14579153C2312yes—
380#14579153C2312yes—
381#14579152C2314yes—
382#14579152C2314yes—
383#14579152C2314yes—
384#14579152C2311yescharacteristic
385#14579152C2311yescharacteristic
386#14579152C2312yes—
387#14579151C2312yes—
388#14579151C2314yes—
389#14579151C2312yes—
390#14579151C2314yes—
391#14579151C2314yes—
392#14579151C2314yes—
393#14579151C2314yes—
394#14579150C2314yes—
395#14579150C2311yescharacteristic
396#14579149C2312yes—
397#14579149C2312yes—
398#14579149C2312yes—
399#14579148C2314yes—
400#14579148C2314yes—
401#14579148C2314yes—
402#14579148C2312yes—
403#14579148C2311yescharacteristic
404#14579148C2312yes—
405#14579148C2312yes—
406#14579148C2312yes—
407#14579148C2312yes—
408#14579148C2314yes—
409#14579147C2314yes—
410#14579147C2312yes—
411#14579147C2314yes—
412#14579147C2314yes—
413#14579147C2312yes—
414#14579147C2314yes—
415#14579147C2314yes—
416#14579147C2314yes—
417#14579147C2314yes—
418#14579147C2314yes—
419#14579147C2314yes—
420#14579147C2314yes—
421#14579147C2314yes—
422#14579147C2314yes—
423#14579146C2314yes—
424#14579146C2312yes—
425#14579146C2312yes—
426#14579146C2314yes—
427#14579146C2314yes—
428#14579145C2314yes—
429#14579145C2312yes—
430#14579145C2314yes—
431#14579144C2312yes—
432#14579144C2312yes—
433#14579144C2314yes—
434#14579144C2312yes—
435#14579144C2312yes—
436#14579144C2314yes—
437#14579144C2314yes—
438#14579144C2314yes—
439#14579144C2314yes—
440#14579143C2314yes—
441#14579143C2314yes—
442#14579143C2312yes—
443#14579143C2312yes—
444#14579143C2314yes—
445#14579143C2314yes—
446#14579143C2314yes—
447#14579143C2314yes—
448#14579143C2314yes—
449#14579143C2314yes—
450#14579142C2314yes—
451#14579142C2314yes—
452#14579142C2314yes—
453#14579142C2312yes—
454#14579142C2314yes—
455#14579142C2314yes—
456#14579142C2314yes—
457#14579142C2314yes—
458#14579142C2314yes—
459#14579141C2312yes—
460#14579141C2312yes—
461#14579141C2312yes—
462#14579141C2311yescharacteristic
463#14579141C2314yes—
464#14579141C2311yescharacteristic
465#14579141C2312yes—
466#14579141C2312yes—
467#14579141C2312yes—
468#14579141C2314yes—
469#14579140C2312yes—
470#14579140C2312yes—
471#14579140C2312yes—
472#14579140C2312yes—
473#14579140C2314yes—
474#14579140C2312yes—
475#14579140C2314yes—
476#14579140C2314yes—
477#14579140C2314yes—
478#14579140C2314yes—
479#14579139C2314yes—
480#14579139C2314yes—
481#14579139C2314yes—
482#14579139C2312yes—
483#14579139C2314yes—
484#14579139C2312yes—
485#14579139C2314yes—
486#14579139C2314yes—
487#14579138C2314yes—
488#14579138C2314yes—
489#14579138C2312yes—
490#14579138C2312yes—
491#14579138C2314yes—
492#14579138C2314yes—
493#14579138C2314yes—
494#14579138C2314yes—
495#14579138C2314yes—
496#14579138C2314yes—
497#14579138C2314yes—
498#14579138C2314yes—
499#14579138C2314yes—
500#14579137C2311yescharacteristic
501#14579137C2312yes—
502#14579137C2314yes—
503#14579137C2314yes—
504#14579137C2311yescharacteristic
505#14579137C2314yes—
506#14579136C2311yescharacteristic
507#14579136C2311yescharacteristic
508#14579135C2312yes—
509#14579135C2312yes—
510#14579135C2312yes—
511#14579134C2314yes—
512#14579134C2314yes—
513#14579134C2312yes—
514#14579134C2312yes—
515#14579134C2314yes—
516#14579133C2314yes—
517#14579133C2314yes—
518#14579133C2314yes—
519#14579133C2314yes—
520#14579133C2314yes—
521#14579133C2314yes—
522#14579133C2312yes—
523#14579133C2312yes—
524#14579133C2314yes—
525#14579133C2314yes—
526#14579133C2314yes—
527#14579132C2312yes—
528#14579132C2314yes—
529#14579132C2312yes—
530#14579132C2311yescharacteristic
531#14579132C2314yes—
532#14579132C2314yes—
533#14579132C2314yes—
534#14579132C2314yes—
535#14579132C2311yescharacteristic
536#14579132C2312yes—
537#14579132C2312yes—
538#14579132C2312yes—
539#14579131C2312yes—
540#14579131C2314yes—
541#14579129C2314yes—
542#14579129C2314yes—
543#14579129C2314yes—
544#14579129C2314yes—
545#14579129C2312yes—
546#14579129C2314yes—
547Q8×Dic79C2312yes—
548Q8×Dic79C2314yes—
549Q8×Dic79C2311yescharacteristic
550Q8×Dic79C2311yescharacteristic
551C4×Dic158C2314yes—
552C4×Dic158C2311yescharacteristic
553C4×Dic158C2312yes—
554C4×Dic158C2311yescharacteristic
555C4×Dic158C2312yes—
556C4×Dic158C2312yes—
557C4×Dic158C2312yes—
558C4×Dic158C2312yes—
559C4×Dic158C2314yes—
560C4×Dic158C2312yes—
561C4×Dic158C2314yes—
562C4×Dic158C2312yes—
563C4×Dic158C2312yes—
564C4×Dic158C2312yes—
565C4×Dic158C2312yes—
566C4×Dic158C2312yes—
567C4×Dic158C2311yescharacteristic
568C4×Dic158C2311yescharacteristic
569#14579126C2312yes—
570#14579126C2312yes—
571#14579126C2312yes—
572#14579126C2312yes—
573#14579126C2312yes—
574#14579126C2314yes—
575#14579126C2311yescharacteristic
576#14579126C2311yescharacteristic
577#14579126C2312yes—
578#14579126C2314yes—
579#14579126C2314yes—
580#14579126C2314yes—
581#14579126C2314yes—
582C4×D316C2311yescharacteristic
583C4×D316C2311yescharacteristic
584C4×D316C2312yes—
585C4×D316C2312yes—
586C4×D316C2312yes—
587C4×D316C2312yes—
588C4×D316C2312yes—
589C4×D316C2311yescharacteristic
590C4×D316C2311yescharacteristic
591D4×Dic79C2312yes—
592D4×Dic79C2312yes—
593D4×Dic79C2312yes—
594D4×Dic79C2314yes—
595D4×Dic79C2314yes—
596D4×Dic79C2314yes—
597D4×Dic79C2314yes—
598D4×Dic79C2314yes—
599D4×Dic79C2314yes—
600D4×Dic79C2311yescharacteristic
601D4×Dic79C2312yes—
602D4×Dic79C2312yes—
603D4×Dic79C2314yes—
604D4×Dic79C2312yes—
605D4×Dic79C2314yes—
606D4×Dic79C2312yes—
607D4×Dic79C2311yescharacteristic
608#14579123C2312yes—
609#14579123C2312yes—
610#14579123C2312yes—
611#14579123C2311yescharacteristic
612#14579123C2311yescharacteristic
613#14579123C2312yes—
614#14579123C2314yes—
615C4×C22⋊D79C2314yes—
616C4×C22⋊D79C2314yes—
617C4×C22⋊D79C2312yes—
618C4×C22⋊D79C2312yes—
619C4×C22⋊D79C2314yes—
620C4×C22⋊D79C2314yes—
621C4×C22⋊D79C2314yes—
622C4×C22⋊D79C2314yes—
623C4×C22⋊D79C2312yes—
624C4×C22⋊D79C2312yes—
625C4×C22⋊D79C2312yes—
626C4×C22⋊D79C2312yes—
627C4×C22⋊D79C2314yes—
628C4×C22⋊D79C2312yes—
629C4×C22⋊D79C2314yes—
630C4×C22⋊D79C2312yes—
631C4×C22⋊D79C2314yes—
632C4×C22⋊D79C2312yes—
633C4×C22⋊D79C2312yes—
634C4×C22⋊D79C2312yes—
635C4×C22⋊D79C2312yes—
636(C22⋊D79)⋊C4C2312yes—
637(C22⋊D79)⋊C4C2314yes—
638(C22⋊D79)⋊C4C2314yes—
639(C22⋊D79)⋊C4C2312yes—
640(C22⋊D79)⋊C4C2312yes—
641(C22⋊D79)⋊C4C2312yes—
642(C22⋊D79)⋊C4C2314yes—
643(C22⋊D79)⋊C4C2314yes—
644(C22⋊D79)⋊C4C2314yes—
645(C22⋊D79)⋊C4C2312yes—
646(C22⋊D79)⋊C4C2312yes—
647(C22⋊D79)⋊C4C2314yes—
648(C22⋊D79)⋊C4C2314yes—
649(C22⋊D79)⋊C4C2314yes—
650(C22⋊D79)⋊C4C2314yes—
651(C22⋊D79)⋊C4C2314yes—
652(C22⋊D79)⋊C4C2314yes—
653#14579120C2312yes—
654#14579120C2311yescharacteristic
655#14579120C2314yes—
656#14579120C2312yes—
657#14579120C2311yescharacteristic
658#14579119C2312yes—
659#14579119C2312yes—
660#14579119C2312yes—
661#14579119C2312yes—
662#14579119C2314yes—
663#14579119C2314yes—
664#14579119C2314yes—
665#14579119C2311yescharacteristic
666#14579119C2312yes—
667#14579119C2311yescharacteristic
668#14579118C2311yescharacteristic
669#14579118C2311yescharacteristic
670#14579118C2312yes—
671#14579118C2312yes—
672#14579118C2311yescharacteristic
673#14579118C2311yescharacteristic
674#14579118C2311yescharacteristic
675#14579118C2311yescharacteristic
676#14579118C2311yescharacteristic
677#14579118C2311yescharacteristic
678#14579118C2312yes—
679#14579118C2314yes—
680#14579118C2314yes—
681#14579118C2312yes—
682#14579118C2312yes—
683#14579118C2312yes—
684#14579118C2312yes—
685#14579118C2312yes—
686#14579117C2314yes—
687#14579117C2314yes—
688#14579117C2312yes—
689#14579117C2312yes—
690#14579117C2314yes—
691#14579117C2314yes—
692#14579117C2314yes—
693#14579117C2314yes—
694#14579117C2312yes—
695#14579117C2314yes—
696#14579117C2314yes—
697#14579117C2314yes—
698C2×C4⋊Dic79C2311yescharacteristic
699C2×C4⋊Dic79C2312yes—
700C2×C4⋊Dic79C2312yes—
701C2×Dic79⋊C4C2311yescharacteristic
702C2×Dic79⋊C4C2311yescharacteristic
703C2×Dic79⋊C4C2312yes—
704C2×Dic79⋊C4C2314yes—
705C2×Dic79⋊C4C2312yes—
706C2×Dic79⋊C4C2314yes—
707C2×Dic79⋊C4C2312yes—
708C2×Dic79⋊C4C2312yes—
709C4⋊C4×D79C2312yes—
710C4⋊C4×D79C2312yes—
711C4⋊C4×D79C2312yes—
712C4⋊C4×D79C2312yes—
713C4⋊C4×D79C2314yes—
714C4⋊C4×D79C2311yescharacteristic
715C4⋊C4×D79C2314yes—
716C4⋊C4×D79C2312yes—
717C4⋊C4×D79C2311yescharacteristic
718C4⋊C4×D79C2314yes—
719C2×C22⋊Dic79C2312yes—
720C2×C22⋊Dic79C2312yes—
721C2×C22⋊Dic79C2312yes—
722C2×C22⋊Dic79C2314yes—
723C2×(C2×D79)⋊C4C2311yescharacteristic
724C2×(C2×D79)⋊C4C2311yescharacteristic
725C2×(C2×D79)⋊C4C2312yes—
726C2×(C2×D79)⋊C4C2314yes—
727C2×(C2×D79)⋊C4C2312yes—
728C2×(C2×D79)⋊C4C2312yes—
729C22⋊C4×D79C2312yes—
730C22⋊C4×D79C2312yes—
731C22⋊C4×D79C2314yes—
732C22⋊C4×D79C2314yes—
733C22⋊C4×D79C2312yes—
734C22⋊C4×D79C2314yes—
735C22⋊C4×D79C2314yes—
736C22⋊C4×D79C2314yes—
737C22⋊C4×D79C2314yes—
738C2×C4×Dic79C2311yescharacteristic
739C2×C4×Dic79C2312yes—
740C2×C4×Dic79C2314yes—
741C2×C4×Dic79C2312yes—
742C2×C4×Dic79C2314yes—
743C42×D79C2312yes—
744C42×D79C2312yes—
745C42×D79C2312yes—
746C42×D79C2312yes—
747C42×D79C2314yes—
748C2×#41×C79C2311yescharacteristic
749C2×#41×C79C2311yescharacteristic
750C2×#41×C79C2314yes—
751C22×D4×C79C2311yescharacteristic
752C23×C4×C79C2312yes—
753C4⋊Q8×C79C2312yes—
754C4⋊Q8×C79C2312yes—
755#127×C79C2312yes—
756#127×C79C2312yes—
757#126×C79C2314yes—
758#126×C79C2314yes—
759#125×C79C2312yes—
760#125×C79C2312yes—
761#124×C79C2314yes—
762#124×C79C2312yes—
763#124×C79C2312yes—
764#124×C79C2314yes—
765#123×C79C2314yes—
766#123×C79C2314yes—
767#123×C79C2314yes—
768#123×C79C2314yes—
769C22⋊Q8×C79C2312yes—
770C22⋊Q8×C79C2314yes—
771C22⋊Q8×C79C2312yes—
772C22⋊Q8×C79C2314yes—
773#121×C79C2312yes—
774#121×C79C2312yes—
775#121×C79C2314yes—
776#121×C79C2314yes—
777#121×C79C2312yes—
778#121×C79C2314yes—
779#121×C79C2314yes—
780#121×C79C2312yes—
781#121×C79C2312yes—
782#121×C79C2312yes—
783#120×C79C2314yes—
784#120×C79C2314yes—
785C4×Q8×C79C2311yescharacteristic
786C4×Q8×C79C2311yescharacteristic
787C4×Q8×C79C2311yescharacteristic
788C4×Q8×C79C2311yescharacteristic
789C4×D4×C79C2312yes—
790C4×D4×C79C2312yes—
791C4×D4×C79C2312yes—
792C4×D4×C79C2311yescharacteristic
793C4×D4×C79C2311yescharacteristic
794C4×D4×C79C2312yes—
795C4×D4×C79C2312yes—
796C4×D4×C79C2312yes—
797C4×D4×C79C2312yes—
798C4×D4×C79C2311yescharacteristic
799C4×D4×C79C2312yes—
800C4×D4×C79C2311yescharacteristic
801C4×D4×C79C2314yes—
802C4×D4×C79C2314yes—
803#117×C79C2311yescharacteristic
804#117×C79C2312yes—
805#117×C79C2311yescharacteristic
806#117×C79C2312yes—
807#117×C79C2314yes—
808C2×C4⋊C4×C79C2311yescharacteristic
809C2×C22⋊C4×C79C2312yes—
810C2×C42×C79C2311yescharacteristic
811C2×C42×C79C2312yes—
812C2×C42×C79C2312yes—
813C23×D79C2414yes—
814C23×D79C2412yes—
815C23×D79C2411yescharacteristic
816#11929625—24no—
817#11929624—28no—
818#11929624—28no—
819#11929624—24no—
820#11929624#4118yescomplemented
821#11929623—28no—
822#11929623—28no—
823#11929623—24no—
824#11929623—28no—
825#11929623—28no—
826#11929623—216no—
827#11929623—84no—
828#11929623—84no—
829C2×Dic158—28no—
830C2×Dic158—24no—
831C2×Dic158—82no—
832C2×Dic158C2414yes—
833C2×Dic158C2412yes—
834C2×Dic158C2412yes—
835C2×Dic158C2412yes—
836C2×Dic158C2411yescharacteristic
837C2×Dic158C2412yes—
838C2×Dic158C2414yes—
839C2×Dic158C2414yes—
840C2×Dic158C2414yes—
841C2×Dic158C2412yes—
842C2×Dic158C2411yescharacteristic
843Q8×D79—28no—
844Q8×D79—24no—
845Q8×D79—84no—
846C2×D316C2412yes—
847C2×D316C2411yescharacteristic
848C2×D316C2412yes—
849C2×D316C2412yes—
850C2×D316C2411yescharacteristic
851C2×C22⋊D79—216no—
852C2×C22⋊D79—82no—
853C2×C22⋊D79C2414yes—
854C2×C22⋊D79C2412yes—
855C2×C22⋊D79C2412yes—
856C2×C22⋊D79C2414yes—
857C2×C22⋊D79C2414yes—
858C2×C22⋊D79C2412yes—
859C2×C22⋊D79C2412yes—
860C2×C22⋊D79C2412yes—
861C2×C22⋊D79C2414yes—
862C2×C22⋊D79C2414yes—
863C2×C22⋊D79C2412yes—
864C2×C22⋊D79C2412yes—
865C2×C22⋊D79C2414yes—
866C2×C22⋊D79C2412yes—
867D4×D79—24no—
868D4×D79—28no—
869D4×D79—28no—
870D4×D79—28no—
871D4×D79—84no—
872C22×Dic79C2412yes—
873C22×Dic79C2414yes—
874C22×Dic79C2414yes—
875C22×Dic79C2411yescharacteristic
876C22×Dic79C2412yes—
877C22×Dic79C2411yescharacteristic
878C22×Dic79C2412yes—
879C22×Dic79C2412yes—
880C22×Dic79C2414yes—
881C22×Dic79C2414yes—
882C22×Dic79C2411yescharacteristic
883C22×Dic79C2414yes—
884C22×Dic79C2412yes—
885C2×C4×D79—28no—
886C2×C4×D79—24no—
887C2×C4×D79—84no—
888C2×C4×D79C2414yes—
889C2×C4×D79C2412yes—
890C2×C4×D79C2411yescharacteristic
891C2×C4×D79C2412yes—
892C2×C4×D79C2412yes—
893C2×C4×D79C2411yescharacteristic
894C2×C4×D79C2411yescharacteristic
895C2×C4×D79C2411yescharacteristic
896C2×C4×D79C2412yes—
897C2×C4×D79C2414yes—
898C2×C4×D79C2414yes—
899C2×C4×D79C2412yes—
900C2×C4×D79C2414yes—
901C2×C4×D79C2412yes—
902C2×C4×D79C2412yes—
903C2×C4×D79C2412yes—
904C2×C4×D79C2412yes—
905C2×C4×D79C2412yes—
906C2×C4×D79C2412yes—
907C2×C4×D79C2412yes—
908C4⋊Dic79C2411yescharacteristic
909C4⋊Dic79C2411yescharacteristic
910C4⋊Dic79C2412yes—
911C4⋊Dic79C2414yes—
912C4⋊Dic79C2414yes—
913C4⋊Dic79C2411yescharacteristic
914C4⋊Dic79C2412yes—
915C4⋊Dic79C2412yes—
916C4⋊Dic79C2414yes—
917C4⋊Dic79C2412yes—
918C4⋊Dic79C2414yes—
919C4⋊Dic79C2411yescharacteristic
920C4⋊Dic79C2414yes—
921C4⋊Dic79C2412yes—
922C4⋊Dic79C2412yes—
923C4⋊Dic79C2412yes—
924C4⋊Dic79C2414yes—
925C4⋊Dic79C2412yes—
926Dic79⋊C4C2412yes—
927Dic79⋊C4C2411yescharacteristic
928Dic79⋊C4C2411yescharacteristic
929Dic79⋊C4C2412yes—
930Dic79⋊C4C2412yes—
931Dic79⋊C4C2412yes—
932Dic79⋊C4C2414yes—
933Dic79⋊C4C2414yes—
934Dic79⋊C4C2414yes—
935Dic79⋊C4C2414yes—
936Dic79⋊C4C2414yes—
937Dic79⋊C4C2414yes—
938Dic79⋊C4C2414yes—
939Dic79⋊C4C2412yes—
940Dic79⋊C4C2411yescharacteristic
941Dic79⋊C4C2411yescharacteristic
942Dic79⋊C4C2412yes—
943Dic79⋊C4C2414yes—
944Dic79⋊C4C2412yes—
945Dic79⋊C4C2414yes—
946Dic79⋊C4C2412yes—
947Dic79⋊C4C2412yes—
948Dic79⋊C4C2411yescharacteristic
949Dic79⋊C4C2411yescharacteristic
950Dic79⋊C4C2411yescharacteristic
951Dic79⋊C4C2411yescharacteristic
952Dic79⋊C4C2412yes—
953Dic79⋊C4C2414yes—
954Dic79⋊C4C2412yes—
955Dic79⋊C4C2412yes—
956Dic79⋊C4C2412yes—
957Dic79⋊C4C2412yes—
958Dic79⋊C4C2414yes—
959Dic79⋊C4C2414yes—
960Dic79⋊C4C2414yes—
961Dic79⋊C4C2414yes—
962Dic79⋊C4C2412yes—
963Dic79⋊C4C2412yes—
964C22⋊Dic79C2412yes—
965C22⋊Dic79C2414yes—
966C22⋊Dic79C2414yes—
967C22⋊Dic79C2414yes—
968C22⋊Dic79C2414yes—
969C22⋊Dic79C2414yes—
970C22⋊Dic79C2412yes—
971C22⋊Dic79C2412yes—
972C22⋊Dic79C2414yes—
973C22⋊Dic79C2412yes—
974C22⋊Dic79C2414yes—
975C22⋊Dic79C2414yes—
976C22⋊Dic79C2414yes—
977C22⋊Dic79C2414yes—
978C22⋊Dic79C2414yes—
979C22⋊Dic79C2414yes—
980C22⋊Dic79C2412yes—
981C22⋊Dic79C2412yes—
982C22⋊Dic79C2412yes—
983C22⋊Dic79C2412yes—
984(C2×D79)⋊C4C2412yes—
985(C2×D79)⋊C4C2412yes—
986(C2×D79)⋊C4C2412yes—
987(C2×D79)⋊C4C2411yescharacteristic
988(C2×D79)⋊C4C2411yescharacteristic
989(C2×D79)⋊C4C2412yes—
990(C2×D79)⋊C4C2412yes—
991(C2×D79)⋊C4C2412yes—
992(C2×D79)⋊C4C2412yes—
993(C2×D79)⋊C4C2412yes—
994(C2×D79)⋊C4C2414yes—
995(C2×D79)⋊C4C2414yes—
996(C2×D79)⋊C4C2414yes—
997(C2×D79)⋊C4C2414yes—
998(C2×D79)⋊C4C2414yes—
999(C2×D79)⋊C4C2414yes—
1000(C2×D79)⋊C4C2412yes—
1001(C2×D79)⋊C4C2411yescharacteristic
1002(C2×D79)⋊C4C2411yescharacteristic
1003(C2×D79)⋊C4C2412yes—
1004(C2×D79)⋊C4C2412yes—
1005(C2×D79)⋊C4C2412yes—
1006(C2×D79)⋊C4C2411yescharacteristic
1007(C2×D79)⋊C4C2411yescharacteristic
1008(C2×D79)⋊C4C2411yescharacteristic
1009(C2×D79)⋊C4C2411yescharacteristic
1010(C2×D79)⋊C4C2414yes—
1011(C2×D79)⋊C4C2414yes—
1012(C2×D79)⋊C4C2412yes—
1013(C2×D79)⋊C4C2412yes—
1014(C2×D79)⋊C4C2412yes—
1015(C2×D79)⋊C4C2412yes—
1016C4×Dic79C2412yes—
1017C4×Dic79C2411yescharacteristic
1018C4×Dic79C2412yes—
1019C4×Dic79C2412yes—
1020C4×Dic79C2412yes—
1021C4×Dic79C2414yes—
1022C4×Dic79C2412yes—
1023C4×Dic79C2414yes—
1024C4×Dic79C2414yes—
1025C4×Dic79C2412yes—
1026C4×Dic79C2412yes—
1027C4×Dic79C2412yes—
1028C4×Dic79C2412yes—
1029C4×Dic79C2412yes—
1030C4×Dic79C2411yescharacteristic
1031C4×Dic79C2412yes—
1032C4×Dic79C2412yes—
1033C4×Dic79C2414yes—
1034C4×Dic79C2414yes—
1035C4×Dic79C2414yes—
1036C4×Dic79C2414yes—
1037C4×Dic79C2414yes—
1038C4×Dic79C2411yescharacteristic
1039C4×Dic79C2411yescharacteristic
1040C24×C79C2412yes—
1041#41×C79—24no—
1042#41×C79—24no—
1043#41×C79—84no—
1044C2×Q8×C79C2411yescharacteristic
1045C2×Q8×C79C2411yescharacteristic
1046C2×Q8×C79C2414yes—
1047C2×D4×C79—24no—
1048C2×D4×C79C2412yes—
1049C2×D4×C79C2411yescharacteristic
1050C2×D4×C79C2412yes—
1051C2×D4×C79C2412yes—
1052C2×D4×C79C2412yes—
1053C2×D4×C79C2411yescharacteristic
1054C2×D4×C79C2414yes—
1055C2×D4×C79C2414yes—
1056C2×D4×C79C2414yes—
1057C2×D4×C79C2414yes—
1058C2×D4×C79C2414yes—
1059C22×C4×C79—82no—
1060C22×C4×C79C2412yes—
1061C22×C4×C79C2412yes—
1062C22×C4×C79C2412yes—
1063C22×C4×C79C2411yescharacteristic
1064C22×C4×C79C2411yescharacteristic
1065C22×C4×C79C2412yes—
1066C22×C4×C79C2412yes—
1067C22×C4×C79C2412yes—
1068C22×C4×C79C2412yes—
1069C22×C4×C79C2414yes—
1070C22×C4×C79C2414yes—
1071C22×C4×C79C2411yescharacteristic
1072C4⋊C4×C79C2412yes—
1073C4⋊C4×C79C2412yes—
1074C4⋊C4×C79C2411yescharacteristic
1075C4⋊C4×C79C2411yescharacteristic
1076C4⋊C4×C79C2411yescharacteristic
1077C4⋊C4×C79C2411yescharacteristic
1078C4⋊C4×C79C2412yes—
1079C4⋊C4×C79C2412yes—
1080C4⋊C4×C79C2412yes—
1081C4⋊C4×C79C2412yes—
1082C4⋊C4×C79C2414yes—
1083C4⋊C4×C79C2414yes—
1084C4⋊C4×C79C2414yes—
1085C4⋊C4×C79C2414yes—
1086C22⋊C4×C79C2414yes—
1087C22⋊C4×C79C2414yes—
1088C22⋊C4×C79C2412yes—
1089C22⋊C4×C79C2412yes—
1090C22⋊C4×C79C2412yes—
1091C22⋊C4×C79C2412yes—
1092C22⋊C4×C79C2412yes—
1093C22⋊C4×C79C2412yes—
1094C22⋊C4×C79C2414yes—
1095C22⋊C4×C79C2414yes—
1096C22⋊C4×C79C2414yes—
1097C22⋊C4×C79C2414yes—
1098C22⋊C4×C79C2414yes—
1099C22⋊C4×C79C2414yes—
1100C42×C79C2411yescharacteristic
1101C42×C79C2411yescharacteristic
1102C42×C79C2411yescharacteristic
1103C42×C79C2411yescharacteristic
1104C42×C79C2412yes—
1105C42×C79C2412yes—
1106C42×C79C2412yes—
1107C42×C79C2412yes—
1108C42×C79C2412yes—
1109C42×C79C2412yes—
1110C23×C79—24no—
1111C23×C79—42no—
1112C23×C79—42no—
1113C23×C79C2514yes—
1114C23×C79C2512yes—
1115C23×C79C2512yes—
1116C23×C79C2511yescharacteristic
1117C22×D79—22no—
1118C22×D79—24no—
1119C22×D79—28no—
1120C22×D79—44no—
1121C22×D79—42no—
1122C22×D79—41no—
1123C22×D79—42no—
1124C22×D79—44no—
1125C22×D79—41no—
1126C22×D79C2511yescharacteristic
1127C22×D79C2512yes—
1128C22×D79C2511yescharacteristic
1129C22×D79C2512yes—
1130Q8×C79—22no—
1131Q8×C79—22no—
1132Q8×C79—44no—
1133D4×C79—24no—
1134D4×C79—24no—
1135D4×C79—24no—
1136D4×C79—24no—
1137D4×C79—22no—
1138D4×C79—22no—
1139D4×C79—44no—
1140D4×C79—44no—
1141D4×C79—44no—
1142D4×C79—44no—
1143D4×C79—44no—
1144C2×C4×C79—24no—
1145C2×C4×C79—24no—
1146C2×C4×C79—44no—
1147C2×C4×C79—42no—
1148C2×C4×C79—41no—
1149C2×C4×C79—44no—
1150C2×C4×C79—41no—
1151C2×C4×C79—42no—
1152C2×C4×C79—42no—
1153C2×C4×C79—42no—
1154C2×C4×C79—42no—
1155C2×C4×C79C2×#4114yes—
1156C2×C4×C79C2511yescharacteristic
1157C2×C4×C79C2511yescharacteristic
1158C2×C4×C79C2512yes—
1159C2×C4×C79C2511yescharacteristic
1160C2×C4×C79C2512yes—
1161C2×C4×C79C2512yes—
1162C2×C4×C79C2512yes—
1163C2×C4×C79C2514yes—
1164C2×C4×C79C2512yes—
1165C2×C4×C79C2512yes—
1166C2×C4×C79C2511yescharacteristic
1167C2×C4×C79C2511yescharacteristic
1168C2×C4×C79C2511yescharacteristic
1169C22⋊D79—24no—
1170C22⋊D79—28no—
1171C22⋊D79—24no—
1172C22⋊D79—28no—
1173C22⋊D79—28no—
1174C22⋊D79—24no—
1175C22⋊D79—44no—
1176C22⋊D79—44no—
1177C22⋊D79—44no—
1178C22⋊D79—42no—
1179C22⋊D79—42no—
1180C22⋊D79—42no—
1181C22⋊D79—42no—
1182C22⋊D79C2×#4118yes—
1183C2×Dic79—22no—
1184C2×Dic79—24no—
1185C2×Dic79—24no—
1186C2×Dic79—28no—
1187C2×Dic79—28no—
1188C2×Dic79—44no—
1189C2×Dic79—41no—
1190C2×Dic79—42no—
1191C2×Dic79—44no—
1192C2×Dic79—42no—
1193C2×Dic79—41no—
1194C2×Dic79—44no—
1195C2×Dic79—42no—
1196C2×Dic79C2512yes—
1197C2×Dic79C2512yes—
1198C2×Dic79C2511yescharacteristic
1199C2×Dic79C2511yescharacteristic
1200C2×Dic79C2512yes—
1201C2×Dic79C2514yes—
1202C2×Dic79C2511yescharacteristic
1203C2×Dic79C2511yescharacteristic
1204C2×Dic79C2511yescharacteristic
1205C2×Dic79C2512yes—
1206C2×Dic79C2514yes—
1207C2×Dic79C2512yes—
1208C2×Dic79C2511yescharacteristic
1209C2×Dic79C2512yes—
1210D316—24no—
1211D316—22no—
1212D316—42no—
1213D316—42no—
1214D316C2×#4114yes—
1215C4×D79—24no—
1216C4×D79—28no—
1217C4×D79—22no—
1218C4×D79—22no—
1219C4×D79—22no—
1220C4×D79—22no—
1221C4×D79—24no—
1222C4×D79—24no—
1223C4×D79—42no—
1224C4×D79—42no—
1225C4×D79—44no—
1226C4×D79—44no—
1227C4×D79—42no—
1228C4×D79—42no—
1229C4×D79—42no—
1230C4×D79—42no—
1231C4×D79—44no—
1232C4×D79—42no—
1233C4×D79—42no—
1234C4×D79C2×#4118yes—
1235Dic158—24no—
1236Dic158—24no—
1237Dic158—22no—
1238Dic158—28no—
1239Dic158—24no—
1240Dic158—42no—
1241Dic158—44no—
1242Dic158—44no—
1243Dic158—44no—
1244Dic158—42no—
1245Dic158C2×#4114yes—
1246C22×C79—21no—
1247C22×C79—21no—
1248C22×C79—22no—
1249C22×C79—22no—
1250C22×C79—24no—
1251C22×C79—24no—
1252C22×C79—22no—
1253C22×C79—22no—
1254C22×C79—22no—
1255C22×C79—22no—
1256C22×C79—24no—
1257C22×C79—84no—
1258C22×C79C22×#4112yes—
1259C22×C79C2611yescharacteristic
1260C2×D79—22no—
1261C2×D79—22no—
1262C2×D79—22no—
1263C2×D79—21no—
1264C2×D79—21no—
1265C2×D79—21no—
1266C2×D79—21no—
1267C2×D79—22no—
1268C2×D79—21no—
1269C2×D79—22no—
1270C2×D79—21no—
1271C2×D79—88no—
1272C2×D79—84no—
1273C2×D79—82no—
1274C2×D79C22×#4114yes—
1275C4×C79—22no—
1276C4×C79—22no—
1277C4×C79—21no—
1278C4×C79—21no—
1279C4×C79—24no—
1280C4×C79—22no—
1281C4×C79—22no—
1282C4×C79—21no—
1283C4×C79—21no—
1284C4×C79—22no—
1285C4×C79—22no—
1286C4×C79C22×#4112yes—
1287C4×C79C22×#4112yes—
1288Dic79—22no—
1289Dic79—21no—
1290Dic79—24no—
1291Dic79—21no—
1292Dic79—24no—
1293Dic79—21no—
1294Dic79—22no—
1295Dic79—21no—
1296Dic79—22no—
1297Dic79—21no—
1298Dic79—22no—
1299Dic79—21no—
1300Dic79—22no—
1301Dic79C22×#4114yes—
1302#62857—791nomaximal, Sylow
1303C2×C79—22no—
1304C2×C79—42no—
1305C2×C79—44no—
1306C2×C79—42no—
1307C2×C79C23×#4111yescharacteristic
1308C2×C79H(7,𝔽2)11yescharacteristic
1309C2×C792−1+611yescharacteristic
1310D79—24no—
1311D79—41no—
1312D79—42no—
1313D79—41no—
1314#3524—792no—
1315#3522—792no—
1316#3521—794no—
1317#3521—792no—
1318#3520—792no—
1319#3520—794no—
1320#3518—792no—
1321#3516—792no—
1322#3514—794no—
1323#3514—792no—
1324#3513—792no—
1325#3513—794no—
1326#3511—791no—
1327#3511—792no—
1328#3510—791no—
1329#3510—792no—
1330#3503—791no—
1331#3500—791no—
1332#3495—791no—
1333#3495—792no—
1334#3494—791no—
1335#3494—792no—
1336#3489—791no—
1337#3488—791no—
1338#3461—792no—
1339#3461—791no—
1340#3460—792no—
1341#3460D7911yescharacteristic, complemented
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—792no—
1354#559—792no—
1355#559—794no—
1356#559—794no—
1357Q82—792no—
1358#557—792no—
1359#556—792no—
1360#556—794no—
1361#556—794no—
1362#556—792no—
1363#556—792no—
1364#556—794no—
1365#556—792no—
1366#556—794no—
1367#555—794no—
1368#555—792no—
1369#555—792no—
1370#555—794no—
1371#554—792no—
1372#554—792no—
1373#554—794no—
1374#554—792no—
1375#554—794no—
1376#554—794no—
1377#553—794no—
1378#553—794no—
1379#553—792no—
1380#553—794no—
1381#553—792no—
1382#553—794no—
1383#553—794no—
1384#552—794no—
1385#552—792no—
1386#552—792no—
1387#552—794no—
1388#552—794no—
1389#552—794no—
1390#552—794no—
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—792no—
1405D4×Q8—792no—
1406D4×Q8—794no—
1407#548—794no—
1408#548—792no—
1409#548—794no—
1410#548—792no—
1411#548—792no—
1412#548—792no—
1413#548—794no—
1414#547—794no—
1415#547—794no—
1416#547—792no—
1417#547—794no—
1418#547—792no—
1419#547—792no—
1420#546—794no—
1421#546—792no—
1422#546—794no—
1423#546—794no—
1424#546—792no—
1425#546—792no—
1426#546—792no—
1427#546—794no—
1428#546—794no—
1429#546—794no—
1430#546—794no—
1431D42—792no—
1432D42—794no—
1433#544—792no—
1434#544—792no—
1435#544—791no—
1436#544C2×D7911yescharacteristic, complemented
1437#542—792no—
1438#542—794no—
1439#542—794no—
1440#542—794no—
1441#542—792no—
1442#542—794no—
1443#542—794no—
1444#542—794no—
1445#542—792no—
1446#542—792no—
1447#542—792no—
1448#542—792no—
1449#542—791no—
1450#542—791no—
1451#542—792no—
1452#542—792no—
1453#542—792no—
1454#542—792no—
1455#542—792no—
1456#542—792no—
1457#542—792no—
1458#542—792no—
1459#542—791no—
1460#542—791no—
1461#542—792no—
1462#542—792no—
1463#542C2×D7912yescomplemented
1464#542C2×D7912yescomplemented
1465#541—794no—
1466#541—792no—
1467#541—791no—
1468#541—791no—
1469#541—792no—
1470#541—792no—
1471#540—792no—
1472#540—794no—
1473#540—791no—
1474#540—791no—
1475#540C2×D7912yescomplemented
1476#540C2×D7912yescomplemented
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#538C2×D7914yescomplemented
1491#537—791no—
1492#537—792no—
1493#537—792no—
1494#537C2×D7911yescharacteristic, complemented
1495#536—791no—
1496#536—792no—
1497#536—792no—
1498#536—791no—
1499#535—792no—
1500#535—792no—
1501#535C2×D7911yescharacteristic
1502#535C2×D7911yescharacteristic, complemented
1503#533—792no—
1504#533—792no—
1505#533—792no—
1506#533—794no—
1507#533—792no—
1508#533—791no—
1509#533—792no—
1510#532—791no—
1511#532—792no—
1512#532—792no—
1513#532—792no—
1514#532—794no—
1515#532C2×D7912yescomplemented
1516#532C2×D7912yescomplemented
1517C2×C4⋊Q8—792no—
1518C2×C4⋊Q8—791no—
1519#529—794no—
1520#529—792no—
1521#529—792no—
1522#529—794no—
1523#529—794no—
1524#529—794no—
1525#529—794no—
1526#529—794no—
1527#529—794no—
1528#529—794no—
1529#529—792no—
1530#529—792no—
1531#529—792no—
1532#529—794no—
1533#529—792no—
1534#529—792no—
1535#529—792no—
1536#529—792no—
1537#529—792no—
1538#529C2×D7912yescomplemented
1539#529C2×D7912yescomplemented
1540C2×#126—794no—
1541C2×#126—792no—
1542C2×#124—791no—
1543C2×#124—792no—
1544C2×#124—794no—
1545C2×#124—792no—
1546#525—791no—
1547#525—794no—
1548#525—792no—
1549#525—792no—
1550#525—794no—
1551#525—791no—
1552#525C2×D7914yescomplemented
1553C2×#123—792no—
1554C2×#123—794no—
1555C2×C22⋊Q8—792no—
1556C2×C22⋊Q8—792no—
1557C2×C22⋊Q8—794no—
1558C2×C22⋊Q8—791no—
1559C2×#121—791no—
1560C2×#121—792no—
1561#520—791no—
1562#520—791no—
1563#520—791no—
1564#520—792no—
1565#520—792no—
1566#520—791no—
1567#520—791no—
1568#520—792no—
1569#520—792no—
1570#520—792no—
1571#520—794no—
1572#520—791no—
1573#520—792no—
1574#520—791no—
1575#520—791no—
1576#519—791no—
1577#519—791no—
1578#519—792no—
1579#519—791no—
1580#519—792no—
1581#518—791no—
1582#518—792no—
1583#518—791no—
1584#518—792no—
1585#518—791no—
1586#518—792no—
1587#518—792no—
1588#518—794no—
1589C4×#41—791no—
1590C4×#41—792no—
1591C4×#41—792no—
1592C4×#41—792no—
1593C4×#41—794no—
1594C4×#41—792no—
1595C4×#41—791no—
1596C4×#41—791no—
1597C4×#41—792no—
1598C4×#41—791no—
1599C4×#41—792no—
1600C4×#41C2×D7911yescharacteristic, complemented
1601C4×#41C2×D7911yescharacteristic, complemented
1602C2×C4×Q8—792no—
1603C2×C4×Q8—791no—
1604C2×C4×Q8—792no—
1605C2×C4×D4—794no—
1606C2×C4×D4—792no—
1607C2×C4×D4—792no—
1608C2×C4×D4C2×D7911yescharacteristic, complemented
1609C2×#117—792no—
1610C2×#117—791no—
1611C2×#117—791no—
1612C2×#117—792no—
16132−1+4—1588no—
1614H(5,𝔽2)—1588no—
1615C2×#41—791no—
1616C2×#41—794no—
1617C2×#41—794no—
1618C2×#41—792no—
1619C2×#41—792no—
1620C2×#41—794no—
1621C2×#41—792no—
1622C2×#41—792no—
1623C2×#41—791no—
1624C2×#41—791no—
1625C2×#41—792no—
1626C2×#41—791no—
1627C2×#41—792no—
1628C2×#41—1588no—
1629C2×#41C22×D7911yescharacteristic
1630C2×#41C22×D7911yescharacteristic
1631C2×#41C22×D7914yes—
1632C22×Q8—794no—
1633C22×Q8—792no—
1634C22×Q8—791no—
1635C22×Q8—792no—
1636C22×Q8—791no—
1637C22×Q8—792no—
1638C22×D4—792no—
1639C22×D4—794no—
1640C22×D4—794no—
1641C22×D4—792no—
1642C22×D4—792no—
1643C22×D4—792no—
1644C22×D4—791no—
1645C22×D4C22×D7911yescharacteristic
1646C23×C4—794no—
1647C23×C4—792no—
1648C23×C4—791no—
1649C23×C4C22×D7912yes—
1650C4⋊Q8—794no—
1651C4⋊Q8—791no—
1652C4⋊Q8—792no—
1653C4⋊Q8—794no—
1654C4⋊Q8—791no—
1655C4⋊Q8—792no—
1656C4⋊Q8—792no—
1657C4⋊Q8—792no—
1658C4⋊Q8—794no—
1659C4⋊Q8—792no—
1660C4⋊Q8—794no—
1661C4⋊Q8—791no—
1662C4⋊Q8—794no—
1663C4⋊Q8—792no—
1664C4⋊Q8—792no—
1665C4⋊Q8—792no—
1666C4⋊Q8C22×D7912yes—
1667C4⋊Q8C22×D7912yes—
1668#127—791no—
1669#127—794no—
1670#127C22×D7912yes—
1671#127C22×D7912yes—
1672#126—794no—
1673#126—794no—
1674#126—794no—
1675#126—792no—
1676#126—794no—
1677#126—794no—
1678#126—792no—
1679#126—794no—
1680#126—794no—
1681#126—794no—
1682#126—794no—
1683#126—794no—
1684#126—794no—
1685#126—794no—
1686#126—794no—
1687#126—794no—
1688#126—792no—
1689#126—794no—
1690#126—794no—
1691#126—794no—
1692#126—794no—
1693#126—794no—
1694#126—792no—
1695#126—792no—
1696#126—792no—
1697#126—792no—
1698#126—794no—
1699#126—792no—
1700#126C22×D7914yes—
1701#126C22×D7914yes—
1702#125—794no—
1703#125—791no—
1704#125—791no—
1705#125—794no—
1706#125—792no—
1707#125—792no—
1708#125—794no—
1709#125—794no—
1710#125—794no—
1711#125—794no—
1712#125—792no—
1713#125—794no—
1714#125—794no—
1715#125—792no—
1716#125—792no—
1717#125—792no—
1718#125—794no—
1719#125C22×D7912yes—
1720#125C22×D7912yes—
1721#124—791no—
1722#124—794no—
1723#124—792no—
1724#124—792no—
1725#124—792no—
1726#124—792no—
1727#124—794no—
1728#124—792no—
1729#124—794no—
1730#124—794no—
1731#124—791no—
1732#124—794no—
1733#124—794no—
1734#124—794no—
1735#124—794no—
1736#124—794no—
1737#124—794no—
1738#124—794no—
1739#124—794no—
1740#124—794no—
1741#124—794no—
1742#124—792no—
1743#124—794no—
1744#124—794no—
1745#124—792no—
1746#124—794no—
1747#124—792no—
1748#124—792no—
1749#124—792no—
1750#124C22×D7912yes—
1751#124C22×D7914yes—
1752#124C22×D7912yes—
1753#124C22×D7914yes—
1754#123—794no—
1755#123—792no—
1756#123—794no—
1757#123—794no—
1758#123—794no—
1759#123—794no—
1760#123—794no—
1761#123—794no—
1762#123—794no—
1763#123—794no—
1764#123—794no—
1765#123—794no—
1766#123—794no—
1767#123—792no—
1768#123—792no—
1769#123—792no—
1770#123—792no—
1771#123—794no—
1772#123—792no—
1773#123—794no—
1774#123—794no—
1775#123—794no—
1776#123—792no—
1777#123—794no—
1778#123—794no—
1779#123—794no—
1780#123—792no—
1781#123—794no—
1782#123—792no—
1783#123—794no—
1784#123—794no—
1785#123—794no—
1786#123—794no—
1787#123—794no—
1788#123—792no—
1789#123—794no—
1790#123C22×D7914yes—
1791#123C22×D7914yes—
1792#123C22×D7914yes—
1793#123C22×D7914yes—
1794C22⋊Q8—791no—
1795C22⋊Q8—794no—
1796C22⋊Q8—791no—
1797C22⋊Q8—794no—
1798C22⋊Q8—792no—
1799C22⋊Q8—794no—
1800C22⋊Q8—794no—
1801C22⋊Q8—794no—
1802C22⋊Q8—792no—
1803C22⋊Q8—794no—
1804C22⋊Q8—794no—
1805C22⋊Q8—792no—
1806C22⋊Q8—792no—
1807C22⋊Q8—792no—
1808C22⋊Q8—792no—
1809C22⋊Q8—794no—
1810C22⋊Q8—792no—
1811C22⋊Q8—792no—
1812C22⋊Q8—794no—
1813C22⋊Q8—792no—
1814C22⋊Q8—794no—
1815C22⋊Q8—792no—
1816C22⋊Q8—792no—
1817C22⋊Q8—794no—
1818C22⋊Q8—791no—
1819C22⋊Q8—791no—
1820C22⋊Q8—794no—
1821C22⋊Q8—794no—
1822C22⋊Q8—792no—
1823C22⋊Q8—792no—
1824C22⋊Q8—794no—
1825C22⋊Q8—792no—
1826C22⋊Q8—794no—
1827C22⋊Q8—794no—
1828C22⋊Q8—794no—
1829C22⋊Q8—794no—
1830C22⋊Q8—794no—
1831C22⋊Q8—794no—
1832C22⋊Q8—794no—
1833C22⋊Q8—794no—
1834C22⋊Q8—794no—
1835C22⋊Q8—794no—
1836C22⋊Q8—794no—
1837C22⋊Q8—794no—
1838C22⋊Q8—792no—
1839C22⋊Q8—792no—
1840C22⋊Q8—794no—
1841C22⋊Q8C22×D7914yes—
1842C22⋊Q8C22×D7912yes—
1843C22⋊Q8C22×D7914yes—
1844C22⋊Q8C22×D7912yes—
1845#121—792no—
1846#121—792no—
1847#121—792no—
1848#121—792no—
1849#121—794no—
1850#121—791no—
1851#121—791no—
1852#121—794no—
1853#121—794no—
1854#121—794no—
1855#121—794no—
1856#121—792no—
1857#121—794no—
1858#121—794no—
1859#121—794no—
1860#121—794no—
1861#121—794no—
1862#121—794no—
1863#121—792no—
1864#121—794no—
1865#121—792no—
1866#121—794no—
1867#121—794no—
1868#121—792no—
1869#121—792no—
1870#121—792no—
1871#121—791no—
1872#121—791no—
1873#121—794no—
1874#121—792no—
1875#121—794no—
1876#121—794no—
1877#121—792no—
1878#121C22×D7912yes—
1879#121C22×D7914yes—
1880#121C22×D7912yes—
1881#121C22×D7912yes—
1882#121C22×D7914yes—
1883#121C22×D7914yes—
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—792no—
1893#120—794no—
1894#120—794no—
1895#120—792no—
1896#120C22×D7914yes—
1897#120C22×D7914yes—
1898C4×Q8—792no—
1899C4×Q8—791no—
1900C4×Q8—791no—
1901C4×Q8—794no—
1902C4×Q8—794no—
1903C4×Q8—792no—
1904C4×Q8—792no—
1905C4×Q8—794no—
1906C4×Q8—792no—
1907C4×Q8—792no—
1908C4×Q8—791no—
1909C4×Q8—791no—
1910C4×Q8—792no—
1911C4×Q8—792no—
1912C4×Q8—794no—
1913C4×Q8—794no—
1914C4×Q8—794no—
1915C4×Q8—791no—
1916C4×Q8—794no—
1917C4×Q8—792no—
1918C4×Q8—792no—
1919C4×Q8—792no—
1920C4×Q8—792no—
1921C4×Q8—792no—
1922C4×Q8—792no—
1923C4×Q8—794no—
1924C4×Q8—791no—
1925C4×Q8—791no—
1926C4×Q8—792no—
1927C4×Q8—792no—
1928C4×Q8—792no—
1929C4×Q8—791no—
1930C4×Q8—792no—
1931C4×Q8—792no—
1932C4×Q8—794no—
1933C4×Q8C22×D7911yescharacteristic
1934C4×Q8C22×D7911yescharacteristic
1935C4×Q8C22×D7911yescharacteristic
1936C4×Q8C22×D7911yescharacteristic
1937C4×D4—792no—
1938C4×D4—792no—
1939C4×D4—792no—
1940C4×D4—792no—
1941C4×D4—791no—
1942C4×D4—792no—
1943C4×D4—792no—
1944C4×D4—791no—
1945C4×D4—792no—
1946C4×D4—794no—
1947C4×D4—794no—
1948C4×D4—794no—
1949C4×D4—794no—
1950C4×D4—794no—
1951C4×D4—794no—
1952C4×D4—794no—
1953C4×D4—794no—
1954C4×D4—792no—
1955C4×D4—792no—
1956C4×D4—794no—
1957C4×D4—794no—
1958C4×D4—794no—
1959C4×D4—794no—
1960C4×D4—794no—
1961C4×D4—794no—
1962C4×D4—792no—
1963C4×D4—794no—
1964C4×D4—792no—
1965C4×D4—792no—
1966C4×D4—792no—
1967C4×D4—792no—
1968C4×D4—792no—
1969C4×D4—794no—
1970C4×D4—792no—
1971C4×D4—792no—
1972C4×D4—794no—
1973C4×D4—792no—
1974C4×D4—792no—
1975C4×D4—792no—
1976C4×D4—792no—
1977C4×D4—792no—
1978C4×D4—792no—
1979C4×D4—791no—
1980C4×D4—791no—
1981C4×D4—794no—
1982C4×D4—794no—
1983C4×D4—794no—
1984C4×D4—794no—
1985C4×D4—794no—
1986C4×D4—792no—
1987C4×D4—792no—
1988C4×D4—792no—
1989C4×D4—792no—
1990C4×D4—792no—
1991C4×D4—792no—
1992C4×D4—794no—
1993C4×D4—794no—
1994C4×D4—794no—
1995C4×D4—794no—
1996C4×D4—794no—
1997C4×D4—794no—
1998C4×D4—794no—
1999C4×D4—791no—
2000C4×D4—791no—
2001C4×D4—791no—
2002C4×D4—791no—
2003C4×D4—792no—
2004C4×D4—792no—
2005C4×D4—792no—
2006C4×D4—792no—
2007C4×D4—792no—
2008C4×D4C22×D7912yes—
2009C4×D4C22×D7912yes—
2010C4×D4C22×D7912yes—
2011C4×D4C22×D7912yes—
2012C4×D4C22×D7912yes—
2013C4×D4C22×D7911yescharacteristic
2014C4×D4C22×D7912yes—
2015C4×D4C22×D7912yes—
2016C4×D4C22×D7911yescharacteristic
2017C4×D4C22×D7911yescharacteristic
2018C4×D4C22×D7912yes—
2019C4×D4C22×D7911yescharacteristic
2020C4×D4C22×D7914yes—
2021C4×D4C22×D7914yes—
2022#117—791no—
2023#117—792no—
2024#117—791no—
2025#117—792no—
2026#117—794no—
2027#117—792no—
2028#117—792no—
2029#117—791no—
2030#117—791no—
2031#117—792no—
2032#117—792no—
2033#117—792no—
2034#117—794no—
2035#117—794no—
2036#117—794no—
2037#117—792no—
2038#117—792no—
2039#117—792no—
2040#117—794no—
2041#117—794no—
2042#117—794no—
2043#117—794no—
2044#117—794no—
2045#117—794no—
2046#117—794no—
2047#117—794no—
2048#117—794no—
2049#117—792no—
2050#117—791no—
2051#117—791no—
2052#117—792no—
2053#117—792no—
2054#117—791no—
2055#117—791no—
2056#117—791no—
2057#117—791no—
2058#117—792no—
2059#117—792no—
2060#117—791no—
2061#117—791no—
2062#117—792no—
2063#117—792no—
2064#117—792no—
2065#117—794no—
2066#117—794no—
2067#117C22×D7911yescharacteristic
2068#117C22×D7912yes—
2069#117C22×D7911yescharacteristic
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—794no—
2077C2×C4⋊C4—791no—
2078C2×C4⋊C4—792no—
2079C2×C4⋊C4—794no—
2080C2×C4⋊C4—792no—
2081C2×C4⋊C4—792no—
2082C2×C4⋊C4—792no—
2083C2×C4⋊C4—792no—
2084C2×C4⋊C4—792no—
2085C2×C4⋊C4—791no—
2086C2×C4⋊C4—791no—
2087C2×C4⋊C4—792no—
2088C2×C4⋊C4—792no—
2089C2×C4⋊C4—792no—
2090C2×C4⋊C4—794no—
2091C2×C4⋊C4—794no—
2092C2×C4⋊C4—794no—
2093C2×C4⋊C4C22×D7911yescharacteristic
2094C2×C22⋊C4—794no—
2095C2×C22⋊C4—792no—
2096C2×C22⋊C4—792no—
2097C2×C22⋊C4—792no—
2098C2×C22⋊C4—791no—
2099C2×C22⋊C4—791no—
2100C2×C22⋊C4—792no—
2101C2×C22⋊C4—792no—
2102C2×C22⋊C4—794no—
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⋊C4C22×D7912yes—
2114C2×C42—791no—
2115C2×C42—792no—
2116C2×C42—794no—
2117C2×C42—792no—
2118C2×C42—794no—
2119C2×C42—792no—
2120C2×C42—792no—
2121C2×C42—792no—
2122C2×C42—792no—
2123C2×C42—794no—
2124C2×C42C22×D7911yescharacteristic
2125C2×C42C22×D7912yes—
2126C2×C42C22×D7912yes—
2127C24—794no—
2128C24—792no—
2129C24—791no—
2130C24C23×D7912yes—
2131#41—24no—
2132#41—24no—
2133#41—84no—
2134#41—798no—
2135#41—6324no—
2136#41—6324no—
2137#41—1588no—
2138#41—1588no—
2139#41—1588no—
2140#41—1588no—
2141#41—1588no—
2142#41—15816no—
2143#41—1584no—
2144#41—1588no—
2145#41—1584no—
2146#41—1584no—
2147C2×Q8—792no—
2148C2×Q8—794no—
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—791no—
2158C2×Q8—6322no—
2159C2×Q8—6324no—
2160C2×Q8—1588no—
2161C2×Q8—1588no—
2162C2×Q8—1584no—
2163C2×Q8—1584no—
2164C2×Q8C23×D7911yescharacteristic
2165C2×Q8C23×D7911yescharacteristic
2166C2×Q8C23×D7914yes—
2167C2×D4—24no—
2168C2×D4—792no—
2169C2×D4—792no—
2170C2×D4—792no—
2171C2×D4—792no—
2172C2×D4—794no—
2173C2×D4—794no—
2174C2×D4—794no—
2175C2×D4—792no—
2176C2×D4—794no—
2177C2×D4—792no—
2178C2×D4—794no—
2179C2×D4—792no—
2180C2×D4—794no—
2181C2×D4—792no—
2182C2×D4—792no—
2183C2×D4—792no—
2184C2×D4—791no—
2185C2×D4—792no—
2186C2×D4—791no—
2187C2×D4—6324no—
2188C2×D4—6322no—
2189C2×D4—1588no—
2190C2×D4—1588no—
2191C2×D4—1584no—
2192C2×D4—1588no—
2193C2×D4—15816no—
2194C2×D4C23×D7912yes—
2195C2×D4C23×D7912yes—
2196C2×D4C23×D7912yes—
2197C2×D4C23×D7912yes—
2198C2×D4C23×D7911yescharacteristic
2199C2×D4C23×D7911yescharacteristic
2200C2×D4C23×D7914yes—
2201C2×D4C23×D7914yes—
2202C2×D4C23×D7914yes—
2203C2×D4C23×D7914yes—
2204C2×D4C23×D7914yes—
2205C22×C4—82no—
2206C22×C4—791no—
2207C22×C4—791no—
2208C22×C4—794no—
2209C22×C4—792no—
2210C22×C4—792no—
2211C22×C4—792no—
2212C22×C4—794no—
2213C22×C4—794no—
2214C22×C4—792no—
2215C22×C4—792no—
2216C22×C4—792no—
2217C22×C4—792no—
2218C22×C4—792no—
2219C22×C4—794no—
2220C22×C4—792no—
2221C22×C4—792no—
2222C22×C4—792no—
2223C22×C4—794no—
2224C22×C4—794no—
2225C22×C4—792no—
2226C22×C4—792no—
2227C22×C4—794no—
2228C22×C4—794no—
2229C22×C4—791no—
2230C22×C4—792no—
2231C22×C4—791no—
2232C22×C4—794no—
2233C22×C4—792no—
2234C22×C4—792no—
2235C22×C4—791no—
2236C22×C4—792no—
2237C22×C4—791no—
2238C22×C4—791no—
2239C22×C4—6324no—
2240C22×C4—1588no—
2241C22×C4—1584no—
2242C22×C4C23×D7912yes—
2243C22×C4C23×D7912yes—
2244C22×C4C23×D7911yescharacteristic
2245C22×C4C23×D7912yes—
2246C22×C4C23×D7914yes—
2247C22×C4C23×D7911yescharacteristic
2248C22×C4C23×D7912yes—
2249C22×C4C23×D7912yes—
2250C22×C4C23×D7912yes—
2251C22×C4C23×D7912yes—
2252C22×C4C23×D7914yes—
2253C22×C4C23×D7911yescharacteristic
2254C4⋊C4—792no—
2255C4⋊C4—791no—
2256C4⋊C4—792no—
2257C4⋊C4—791no—
2258C4⋊C4—791no—
2259C4⋊C4—792no—
2260C4⋊C4—791no—
2261C4⋊C4—794no—
2262C4⋊C4—794no—
2263C4⋊C4—792no—
2264C4⋊C4—794no—
2265C4⋊C4—794no—
2266C4⋊C4—794no—
2267C4⋊C4—794no—
2268C4⋊C4—792no—
2269C4⋊C4—794no—
2270C4⋊C4—792no—
2271C4⋊C4—792no—
2272C4⋊C4—792no—
2273C4⋊C4—792no—
2274C4⋊C4—791no—
2275C4⋊C4—791no—
2276C4⋊C4—791no—
2277C4⋊C4—791no—
2278C4⋊C4—794no—
2279C4⋊C4—794no—
2280C4⋊C4—792no—
2281C4⋊C4—794no—
2282C4⋊C4—792no—
2283C4⋊C4—794no—
2284C4⋊C4—792no—
2285C4⋊C4—792no—
2286C4⋊C4—792no—
2287C4⋊C4—794no—
2288C4⋊C4—794no—
2289C4⋊C4—794no—
2290C4⋊C4—792no—
2291C4⋊C4—792no—
2292C4⋊C4—791no—
2293C4⋊C4—791no—
2294C4⋊C4—792no—
2295C4⋊C4—792no—
2296C4⋊C4—794no—
2297C4⋊C4—794no—
2298C4⋊C4—791no—
2299C4⋊C4—792no—
2300C4⋊C4—792no—
2301C4⋊C4—794no—
2302C4⋊C4—794no—
2303C4⋊C4—791no—
2304C4⋊C4—794no—
2305C4⋊C4—792no—
2306C4⋊C4—792no—
2307C4⋊C4—792no—
2308C4⋊C4—792no—
2309C4⋊C4—794no—
2310C4⋊C4C23×D7911yescharacteristic
2311C4⋊C4C23×D7912yes—
2312C4⋊C4C23×D7912yes—
2313C4⋊C4C23×D7912yes—
2314C4⋊C4C23×D7911yescharacteristic
2315C4⋊C4C23×D7911yescharacteristic
2316C4⋊C4C23×D7912yes—
2317C4⋊C4C23×D7912yes—
2318C4⋊C4C23×D7914yes—
2319C4⋊C4C23×D7914yes—
2320C4⋊C4C23×D7911yescharacteristic
2321C4⋊C4C23×D7912yes—
2322C4⋊C4C23×D7914yes—
2323C4⋊C4C23×D7914yes—
2324C22⋊C4—792no—
2325C22⋊C4—792no—
2326C22⋊C4—794no—
2327C22⋊C4—794no—
2328C22⋊C4—794no—
2329C22⋊C4—794no—
2330C22⋊C4—794no—
2331C22⋊C4—792no—
2332C22⋊C4—792no—
2333C22⋊C4—794no—
2334C22⋊C4—794no—
2335C22⋊C4—794no—
2336C22⋊C4—794no—
2337C22⋊C4—794no—
2338C22⋊C4—794no—
2339C22⋊C4—794no—
2340C22⋊C4—792no—
2341C22⋊C4—792no—
2342C22⋊C4—792no—
2343C22⋊C4—792no—
2344C22⋊C4—792no—
2345C22⋊C4—792no—
2346C22⋊C4—792no—
2347C22⋊C4—791no—
2348C22⋊C4—792no—
2349C22⋊C4—791no—
2350C22⋊C4—791no—
2351C22⋊C4—791no—
2352C22⋊C4—794no—
2353C22⋊C4—792no—
2354C22⋊C4—794no—
2355C22⋊C4—792no—
2356C22⋊C4—794no—
2357C22⋊C4—792no—
2358C22⋊C4—792no—
2359C22⋊C4—792no—
2360C22⋊C4—792no—
2361C22⋊C4—792no—
2362C22⋊C4—792no—
2363C22⋊C4—791no—
2364C22⋊C4—791no—
2365C22⋊C4—791no—
2366C22⋊C4—791no—
2367C22⋊C4—794no—
2368C22⋊C4—794no—
2369C22⋊C4—794no—
2370C22⋊C4—794no—
2371C22⋊C4—794no—
2372C22⋊C4—792no—
2373C22⋊C4—792no—
2374C22⋊C4—792no—
2375C22⋊C4—792no—
2376C22⋊C4C23×D7914yes—
2377C22⋊C4C23×D7914yes—
2378C22⋊C4C23×D7912yes—
2379C22⋊C4C23×D7912yes—
2380C22⋊C4C23×D7912yes—
2381C22⋊C4C23×D7914yes—
2382C22⋊C4C23×D7914yes—
2383C22⋊C4C23×D7914yes—
2384C22⋊C4C23×D7914yes—
2385C22⋊C4C23×D7912yes—
2386C22⋊C4C23×D7912yes—
2387C22⋊C4C23×D7912yes—
2388C22⋊C4C23×D7914yes—
2389C22⋊C4C23×D7914yes—
2390C42—792no—
2391C42—792no—
2392C42—792no—
2393C42—791no—
2394C42—791no—
2395C42—792no—
2396C42—794no—
2397C42—792no—
2398C42—792no—
2399C42—794no—
2400C42—794no—
2401C42—792no—
2402C42—794no—
2403C42—792no—
2404C42—792no—
2405C42—794no—
2406C42—794no—
2407C42—794no—
2408C42—792no—
2409C42—792no—
2410C42—792no—
2411C42—791no—
2412C42—791no—
2413C42—794no—
2414C42C23×D7911yescharacteristic
2415C42C23×D7911yescharacteristic
2416C42C23×D7912yes—
2417C42C23×D7912yes—
2418C42C23×D7911yescharacteristic
2419C42C23×D7911yescharacteristic
2420C42C23×D7912yes—
2421C42C23×D7912yes—
2422C42C23×D7912yes—
2423C42C23×D7912yes—
2424C23—24no—
2425C23—42no—
2426C23—42no—
2427C23—3164no—
2428C23—3161no—
2429C23—3162no—
2430C23—3161no—
2431C23—3162no—
2432C23—3164no—
2433C23—792no—
2434C23—791no—
2435C23—792no—
2436C23—791no—
2437C23—1584no—
2438C23—1588no—
2439C23—1582no—
2440C23C24×D7914yes—
2441C23C24×D7912yes—
2442C23C24×D7912yes—
2443C23C24×D7911yescharacteristic
2444Q8—22no—
2445Q8—22no—
2446Q8—44no—
2447Q8—3164no—
2448Q8—3162no—
2449Q8—3164no—
2450Q8—3164no—
2451Q8—3162no—
2452Q8—794no—
2453Q8—1588no—
2454Q8—1584no—
2455Q8—1584no—
2456Q8—1584no—
2457Q8—1582no—
2458D4—24no—
2459D4—24no—
2460D4—24no—
2461D4—24no—
2462D4—22no—
2463D4—22no—
2464D4—44no—
2465D4—44no—
2466D4—44no—
2467D4—44no—
2468D4—44no—
2469D4—3162no—
2470D4—3162no—
2471D4—3162no—
2472D4—3162no—
2473D4—3164no—
2474D4—3164no—
2475D4—3164no—
2476D4—3162no—
2477D4—3162no—
2478D4—798no—
2479D4—794no—
2480D4—1584no—
2481D4—1588no—
2482D4—1584no—
2483D4—1588no—
2484D4—1584no—
2485D4—1588no—
2486D4—1584no—
2487D4—1582no—
2488C2×C4—24no—
2489C2×C4—24no—
2490C2×C4—41no—
2491C2×C4—44no—
2492C2×C4—42no—
2493C2×C4—44no—
2494C2×C4—41no—
2495C2×C4—42no—
2496C2×C4—42no—
2497C2×C4—42no—
2498C2×C4—42no—
2499C2×C4—3162no—
2500C2×C4—3162no—
2501C2×C4—3164no—
2502C2×C4—3164no—
2503C2×C4—3164no—
2504C2×C4—3162no—
2505C2×C4—3162no—
2506C2×C4—3162no—
2507C2×C4—3162no—
2508C2×C4—3162no—
2509C2×C4—3162no—
2510C2×C4—3164no—
2511C2×C4—3162no—
2512C2×C4—3161no—
2513C2×C4—3164no—
2514C2×C4—3162no—
2515C2×C4—3162no—
2516C2×C4—3164no—
2517C2×C4—3161no—
2518C2×C4—792no—
2519C2×C4—798no—
2520C2×C4—792no—
2521C2×C4—792no—
2522C2×C4—791no—
2523C2×C4—791no—
2524C2×C4—792no—
2525C2×C4—794no—
2526C2×C4—791no—
2527C2×C4—791no—
2528C2×C4—791no—
2529C2×C4—792no—
2530C2×C4—794no—
2531C2×C4—792no—
2532C2×C4—791no—
2533C2×C4—1584no—
2534C2×C4—1584no—
2535C2×C4—1588no—
2536C2×C4—1584no—
2537C2×C4—1588no—
2538C2×C4—1588no—
2539C2×C4—1582no—
2540C2×C4—1584no—
2541C2×C4—1582no—
2542C2×C4—1582no—
2543C2×C4—1582no—
2544C2×C4—1582no—
2545C2×C4—1584no—
2546C2×C4#41×D7914yes—
2547C2×C4C24×D7911yescharacteristic
2548C2×C4C24×D7911yescharacteristic
2549C2×C4C24×D7912yes—
2550C2×C4C24×D7911yescharacteristic
2551C2×C4C24×D7912yes—
2552C2×C4C24×D7912yes—
2553C2×C4C24×D7912yes—
2554C2×C4C24×D7912yes—
2555C2×C4C24×D7912yes—
2556C2×C4C24×D7914yes—
2557C2×C4C24×D7911yescharacteristic
2558C2×C4C24×D7911yescharacteristic
2559C2×C4C24×D7911yescharacteristic
2560C22—21no—
2561C22—21no—
2562C22—22no—
2563C22—22no—
2564C22—24no—
2565C22—24no—
2566C22—22no—
2567C22—22no—
2568C22—22no—
2569C22—22no—
2570C22—24no—
2571C22—84no—
2572C22—794no—
2573C22—6322no—
2574C22—6328no—
2575C22—6324no—
2576C22—1581no—
2577C22—1581no—
2578C22—1582no—
2579C22—1582no—
2580C22—1581no—
2581C22—1581no—
2582C22—1581no—
2583C22—1582no—
2584C22—1581no—
2585C22—1582no—
2586C22—1582no—
2587C22C2×#41×D7912yes—
2588C22C25×D7911yescharacteristic
2589C4—22no—
2590C4—22no—
2591C4—21no—
2592C4—21no—
2593C4—24no—
2594C4—22no—
2595C4—22no—
2596C4—21no—
2597C4—21no—
2598C4—22no—
2599C4—22no—
2600C4—794no—
2601C4—1581no—
2602C4—1582no—
2603C4—1581no—
2604C4—1584no—
2605C4—1582no—
2606C4—1582no—
2607C4—1584no—
2608C4—1581no—
2609C4—1581no—
2610C4—1582no—
2611C4—1581no—
2612C4—1582no—
2613C4—1581no—
2614C4C2×#41×D7912yes—
2615C4C2×#41×D7912yes—
2616C2—22no—
2617C2—44no—
2618C2—42no—
2619C2—42no—
2620C2—3161no—
2621C2—3162no—
2622C2—3161no—
2623C2—1584no—
2624C2C22×#41×D7911yescharacteristic
2625C2#2377821011yescharacteristic
2626C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3460C2
hypercenter#3460D79
hypocenterC79#62857
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3460

Complements

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

NH ≅ G/Ntype
1. #23777503C2semidirect
2. #23777477C2semidirect
3. #23777464C2semidirect
4. #23777462C2semidirect
5. #23777447C2semidirect
6. #23777437C2semidirect
7. #23777413C2semidirect
8. #23777383C2semidirect
9. #23777356C2semidirect
10. #23777353C2semidirect
11. #23777338C2semidirect
12. #23777326C2semidirect
13. #23777309C2semidirect
14. #23777301C2semidirect
15. #23777295C2semidirect
16. #23777289C2semidirect
17. #23777215C2semidirect
18. #23777192C2semidirect
19. #23777155C2semidirect
20. #23777140C2semidirect
21. #23777132C2semidirect
22. #23777130C2semidirect
23. #23777075C2semidirect
24. #23777067C2semidirect
25. #23776827C2semidirect
26. #23776826C2semidirect
27. #23776815C2semidirect
28. #23776785C2semidirect
29. #23776784C2semidirect
30. C2×#19099178C2semidirect
31. #542×D79C2semidirect
32. C4×#14579208C2semidirect
33. C4×#14579206C2semidirect
34. #23776599C2semidirect
35. C79×#3460C2semidirect
39. #19099299C22semidirect
40. #19099299C22semidirect
41. #19099297C22semidirect
42. #19099296C22semidirect
43. #19099293C22semidirect
44. #19099290C22semidirect
45. #19099287C22semidirect
46. #19099284C22semidirect
47. #19099282C22semidirect
48. #19099282C22semidirect
49. #19099282C22semidirect
50. #19099281C22semidirect
51. #19099280C22semidirect
52. #19099280C22semidirect
53. #19099277C22semidirect
54. #19099277C22semidirect
55. #19099277C22semidirect
56. #19099275C22semidirect
57. #19099274C22semidirect
58. #19099272C22semidirect
59. #19099272C22semidirect
60. #19099271C22semidirect
61. #19099269C22semidirect
62. #19099267C22semidirect
63. #19099265C22semidirect
64. #19099263C22semidirect
65. #19099262C22semidirect
66. #19099260C22semidirect
67. #19099260C22semidirect
68. #19099256C22semidirect
69. #19099256C22semidirect
70. #19099255C22semidirect
71. #19099252C22semidirect
72. #19099251C22semidirect
73. #19099251C22semidirect
74. #19099250C22semidirect
75. #19099249C22semidirect
76. #19099246C22semidirect
77. #19099244C22semidirect
78. #19099244C22semidirect
79. #19099244C22semidirect
80. #19099243C22semidirect
81. #19099242C22semidirect
82. #19099242C22semidirect
83. #19099242C22semidirect
84. #19099241C22semidirect
85. #19099240C22semidirect
86. #19099238C22semidirect
87. #19099237C22semidirect
88. #19099236C22semidirect
90. #19099228C22semidirect
91. #19099226C22semidirect
92. #19099226C22semidirect
94. #19099221C22semidirect
95. #19099220C22semidirect
96. #19099219C22semidirect
97. #19099219C22semidirect
98. #19099219C22semidirect
99. #19099219C22semidirect
100. #19099215C22semidirect
101. #19099213C22semidirect
102. #19099213C22semidirect
103. #19099213C22semidirect
104. #19099212C22semidirect
105. #19099212C22semidirect
106. #19099210C22semidirect
107. #19099210C22semidirect
108. #19099210C22semidirect
110. #19099202C22semidirect
111. #19099202C22semidirect
112. #19099201C22semidirect
114. #19099200C22semidirect
115. #19099200C22semidirect
116. #19099200C22semidirect
119. #19099193C22semidirect
120. #19099191C22semidirect
121. #19099190C22semidirect
122. #19099187C22semidirect
123. #19099186C22semidirect
124. #19099185C22semidirect
125. #19099185C22semidirect
126. #19099184C22semidirect
127. #19099183C22semidirect
128. #19099182C22semidirect
129. #19099181C22semidirect
130. #19099181C22semidirect
131. #19099180C22semidirect
132. #19099180C22semidirect
133. #19099180C22semidirect
134. #19099179C22semidirect
135. #19099178C22semidirect
136. #19099178C22semidirect
137. #19099178C22semidirect
138. #19099178C22semidirect
139. #19099178C22semidirect
140. #19099178C22semidirect
141. #19099178C22semidirect
142. #19099178C22semidirect
143. #19099178C22semidirect
144. #19099178C22semidirect
145. #19099178C22semidirect
146. #19099177C22semidirect
147. #19099177C22semidirect
148. #19099176C22semidirect
149. #19099175C22semidirect
150. #19099171C22semidirect
151. #19099171C22semidirect
152. #19099171C22semidirect
153. #19099170C22semidirect
154. #19099167C22semidirect
155. #19099164C22semidirect
156. #19099164C22semidirect
157. #19099163C22semidirect
158. #19099159C22semidirect
159. #19099156C22semidirect
160. #19099156C22semidirect
161. #19099156C22semidirect
162. #19099155C22semidirect
163. #19099155C22semidirect
164. #19099155C22semidirect
165. #19099149C22semidirect
166. #19099146C22semidirect
167. #19099146C22semidirect
168. #19099145C22semidirect
169. #19099145C22semidirect
170. #19099145C22semidirect
172. #19099142C22semidirect
174. #19099139C22semidirect
175. #19099136C22semidirect
176. #19099134C22semidirect
177. #19099133C22semidirect
179. #19099126C22semidirect
180. #19099120C22semidirect
181. #19099119C22semidirect
182. #19099118C22semidirect
183. #19099117C22semidirect
184. #19099116C22semidirect
185. #19099115C22semidirect
186. #19099115C22semidirect
187. #19099111C22semidirect
188. #19099111C22semidirect
189. #19099109C22semidirect
190. #19099108C22semidirect
191. #19099108C22semidirect
192. C2×#14579160C22semidirect
193. C4⋊Q8×D79C22semidirect
194. #19099098C22semidirect
195. #19099097C22semidirect
196. #19099097C22semidirect
197. #19099097C22semidirect
198. #19099096C22semidirect
199. #19099095C22semidirect
200. #19099094C22semidirect
201. #19099094C22semidirect
202. #19099094C22semidirect
203. #19099094C22semidirect
204. #19099093C22semidirect
205. #19099092C22semidirect
206. #19099092C22semidirect
207. #19099091C22semidirect
208. #19099091C22semidirect
209. #19099090C22semidirect
210. #19099090C22semidirect
211. #19099090C22semidirect
212. #19099090C22semidirect
213. C2×#14579154C22semidirect
214. #126×D79C22semidirect
215. C2×#14579148C22semidirect
216. C2×#14579147C22semidirect
217. #124×D79C22semidirect
218. #124×D79C22semidirect
221. #19099073C22semidirect
222. #19099073C22semidirect
223. #19099071C22semidirect
224. #19099070C22semidirect
225. C2×#14579144C22semidirect
226. #123×D79C22semidirect
227. C2×#14579141C22semidirect
228. C2×#14579140C22semidirect
229. C22⋊Q8×D79C22semidirect
230. C22⋊Q8×D79C22semidirect
233. #19099046C22semidirect
234. #19099045C22semidirect
235. #19099045C22semidirect
237. #19099044C22semidirect
239. #19099043C22semidirect
240. #19099042C22semidirect
241. #19099042C22semidirect
242. #19099042C22semidirect
243. #19099042C22semidirect
244. #19099042C22semidirect
245. #19099042C22semidirect
246. #19099042C22semidirect
247. #19099042C22semidirect
248. #19099040C22semidirect
249. #19099040C22semidirect
250. #19099039C22semidirect
251. #19099039C22semidirect
252. #19099039C22semidirect
253. #19099038C22semidirect
254. #19099036C22semidirect
255. #19099035C22semidirect
256. #19099035C22semidirect
257. #19099035C22semidirect
258. #19099035C22semidirect
259. #19099035C22semidirect
260. #19099035C22semidirect
261. #41×Dic79C22semidirect
263. C4×#11929624C22semidirect
264. C4×#11929624C22semidirect
265. C4×#11929624C22semidirect
267. #19099031C22semidirect
268. C4×#11929623C22semidirect
269. C4×#11929623C22semidirect
270. C4×#11929623C22semidirect
271. C4×#11929623C22semidirect
272. C2×C4×Dic158C22semidirect
273. C2×C4×Dic158C22semidirect
274. C4×Q8×D79C22semidirect
275. C2×C4×C22⋊D79C22semidirect
276. C4×D4×D79C22semidirect
277. C4×D4×D79C22semidirect
278. C2×#14579118C22semidirect
279. C2×#14579118C22semidirect
280. #117×D79C22semidirect
281. #117×D79C22semidirect
282. #544×C79C22semidirect
283. #542×C79C22semidirect
284. #542×C79C22semidirect
285. #540×C79C22semidirect
286. #540×C79C22semidirect
287. #538×C79C22semidirect
288. #537×C79C22semidirect
290. #535×C79C22semidirect
291. #532×C79C22semidirect
292. #532×C79C22semidirect
293. #529×C79C22semidirect
294. #529×C79C22semidirect
295. #525×C79C22semidirect
296. C4×#41×C79C22semidirect
297. C4×#41×C79C22semidirect
298. C2×C4×D4×C79C22semidirect
820. #11929624#41semidirect
1341. #3460D79semidirect
1349. C79#62857semidirect
1436. #544C2×D79semidirect
1463. #542C2×D79semidirect
1464. #542C2×D79semidirect
1475. #540C2×D79semidirect
1476. #540C2×D79semidirect
1490. #538C2×D79semidirect
1494. #537C2×D79semidirect
1502. #535C2×D79semidirect
1515. #532C2×D79semidirect
1516. #532C2×D79semidirect
1538. #529C2×D79semidirect
1539. #529C2×D79semidirect
1552. #525C2×D79semidirect
1600. C4×#41C2×D79semidirect
1601. C4×#41C2×D79semidirect
1608. C2×C4×D4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237775032
#237774772
#237774642
#237774622
#237774472
#237774372
#237774132
#237773832
#237773562
#237773532
#237773382
#237773262
#237773092
#237773012
#237772952
#237772892
#237772152
#237771922
#237771552
#237771402
#237771322
#237771302
#237770752
#237770672
#237768272
#237768262
#237768152
#237767852
#237767842
C2×#190991782
#542×D792
C4×#145792082
C4×#145792062
#237765992
C79×#34602
#6285779