Finite Group Databasebeta

← #35196849

Subgroups — #35196849

Order 20224.

7210 conjugacy classes of subgroups.

The subgroup lattice has 2626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777316C214yesmaximal, complemented
2#23777306C212yesmaximal, complemented
3#23777302C212yesmaximal, complemented
4#23777293C212yesmaximal, complemented
5#23777290C212yesmaximal, complemented
6#23777283C211yesmaximal, characteristic, complemented
7#23777280C211yesmaximal, characteristic, complemented
8#23777273C211yesmaximal, characteristic, complemented
9#23777270C211yesmaximal, characteristic, complemented
10#23777266C211yesmaximal, characteristic, complemented
11#23777261C212yesmaximal, complemented
12#23777257C211yesmaximal, characteristic, complemented
13#23777253C211yesmaximal, characteristic, complemented
14#23777248C212yesmaximal, complemented
15#23777244C211yesmaximal, characteristic, complemented
16#23777236C212yesmaximal, complemented
17#23777233C214yesmaximal, complemented
18#23777229C212yesmaximal, complemented
19#23776997C212yesmaximal, complemented
20#23776997C211yesmaximal, characteristic, complemented
21#23776995C211yesmaximal, characteristic, complemented
22#23776993C212yesmaximal, complemented
23#23776993C211yesmaximal, characteristic, complemented
24#23776962C212yesmaximal, complemented
25#23776956C212yesmaximal, complemented
26#23776952C214yesmaximal, complemented
27#23776783C214yesmaximal, complemented
28#23776727C212yesmaximal, complemented
29#23776694C212yesmaximal, complemented
30#23776693C212yesmaximal, complemented
31C2×#19099117C211yesmaximal, characteristic, complemented
32#532×D79C211yesmaximal, characteristic, complemented
33#23776599C212yesmaximal, complemented
34C4×#41×D79C211yesmaximal, characteristic, complemented
35C79×#3480C211yesmaximal, characteristic, complemented
36C2×#41×D79C2211yescharacteristic
37C2×#41×D79C2212yes—
38#19099299C2212yescomplemented
39#19099299C2211yescharacteristic, complemented
40#19099298C2212yescomplemented
41#19099298C2212yescomplemented
42#19099298C2211yescharacteristic, complemented
43#19099298C2211yescharacteristic, complemented
44#19099296C2212yescomplemented
45#19099296C2212yescomplemented
46#19099296C2212yescomplemented
47#19099295C2212yescomplemented
48#19099295C2212yescomplemented
49#19099295C2212yescomplemented
50#19099292C2211yescharacteristic, complemented
51#19099291C2212yescomplemented
52#19099291C2211yescharacteristic, complemented
53#19099288C2211yescharacteristic, complemented
54#19099288C2212yescomplemented
55#19099287C2211yescharacteristic, complemented
56#19099287C2212yescomplemented
57#19099286C2211yescharacteristic, complemented
58#19099286C2212yescomplemented
59#19099285C2212yescomplemented
60#19099285C2212yescomplemented
61#19099285C2212yescomplemented
62#19099285C2212yescomplemented
63#19099283C2211yescharacteristic, complemented
64#19099283C2212yescomplemented
65#19099282C2212yescomplemented
66#19099282C2212yescomplemented
67#19099282C2212yescomplemented
68#19099282C2212yescomplemented
69#19099280C2214yescomplemented
70#19099277C2212yescomplemented
71#19099276C2212yescomplemented
72#19099275C2214yescomplemented
73#19099272C2212yescomplemented
74#19099269C2212yescomplemented
75#19099267C2214yescomplemented
76#19099265C2212yescomplemented
77#19099265C2214yescomplemented
78#19099264C2214yescomplemented
79#19099262C2214yescomplemented
80#19099262C2214yescomplemented
81#19099262C2214yescomplemented
82#19099262C2214yescomplemented
83#19099261C2212yescomplemented
84#19099261C2214yescomplemented
85#19099259C2212yescomplemented
86#19099259C2214yescomplemented
87#19099258C2214yescomplemented
88#19099256C2214yescomplemented
89#19099256C2214yescomplemented
90#19099256C2214yescomplemented
91#19099256C2214yescomplemented
92#19099254C2212yescomplemented
93#19099252C2212yescomplemented
94#19099251C2212yescomplemented
95#19099250C2214yescomplemented
96#19099249C2214yescomplemented
97#19099249C2214yescomplemented
98#19099247C2212yescomplemented
99#19099246C2214yescomplemented
100#19099245C2214yescomplemented
101#19099245C2214yescomplemented
102#19099243C2214yescomplemented
103#19099242C2214yescomplemented
104#19099241C2214yescomplemented
105#19099240C2214yescomplemented
106#19099238C2214yescomplemented
107#19099238C2214yescomplemented
108#19099237C2214yescomplemented
109#19099236C2214yescomplemented
110#19099235C2211yescharacteristic, complemented
111#19099234C2212yescomplemented
112#19099234C2211yescharacteristic, complemented
113#19099233C2211yescharacteristic, complemented
114#19099233C2212yescomplemented
115#19099224C2212yescomplemented
116#19099222C2214yescomplemented
117#19099222C2212yescomplemented
118#19099219C2214yescomplemented
119#19099219C2212yescomplemented
120#19099215C2212yescomplemented
121#19099212C2212yescomplemented
122#19099211C2214yescomplemented
123#19099210C2212yescomplemented
124#19099208C2212yescomplemented
125#19099206C2212yescomplemented
126#19099205C2214yescomplemented
127#19099202C2214yescomplemented
128#19099201C2212yescomplemented
129#19099183C2214yescomplemented
130#19099181C2214yescomplemented
131#19099179C2214yescomplemented
132#19099177C2214yescomplemented
133#19099172C2214yescomplemented
134#19099170C2214yescomplemented
135#19099165C2214yescomplemented
136#19099163C2214yescomplemented
137#19099161C2214yescomplemented
138#19099159C2214yescomplemented
139#19099156C2214yescomplemented
140#19099154C2214yescomplemented
141#19099152C2214yescomplemented
142#19099149C2214yescomplemented
143#19099147C2214yescomplemented
144#19099145C2214yescomplemented
145#19099140C2214yescomplemented
146#19099140C2214yescomplemented
147#19099138C2212yes—
148#19099138C2212yescomplemented
149#19099133C2212yes—
150#19099133C2212yescomplemented
151#19099131C2212yes—
152#19099131C2212yescomplemented
153#19099126C2212yes—
154#19099126C2212yescomplemented
155#19099121C2214yes—
156#19099121C2214yes—
157#19099119C2212yescomplemented
158#19099117C2211yescharacteristic, complemented
159#19099117C2212yescomplemented
160#19099117C2211yescharacteristic, complemented
161#19099117C2212yescomplemented
162#19099117C2212yescomplemented
163#19099117C2211yescharacteristic, complemented
164#19099117C2211yescharacteristic, complemented
165#19099117C2212yescomplemented
166#19099117C2211yescharacteristic, complemented
167#19099117C2211yescharacteristic, complemented
168#19099117C2211yescharacteristic, complemented
169#19099117C2212yescomplemented
170#19099117C2211yescharacteristic, complemented
171#19099116C2212yescomplemented
172#19099115C2212yescomplemented
173#19099114C2211yescharacteristic
174#19099113C2211yescharacteristic, complemented
175#19099113C2212yescomplemented
176#19099112C2212yes—
177#19099112C2212yescomplemented
178#19099111C2211yescharacteristic
179#19099110C2212yes—
180#19099110C2212yes—
181#19099110C2212yescomplemented
182#19099109C2212yescomplemented
183#19099109C2212yescomplemented
184#19099109C2212yescomplemented
185#19099109C2212yescomplemented
186#19099108C2212yescomplemented
187#19099108C2212yescomplemented
188#19099108C2212yescomplemented
189C2×#14579160C2211yescharacteristic, complemented
190C2×#14579159C2211yescharacteristic, complemented
191C4⋊Q8×D79C2211yescharacteristic, complemented
192#127×D79C2211yescharacteristic, complemented
193#19099100C2214yescomplemented
194#19099100C2212yescomplemented
195#19099100C2212yescomplemented
196#19099098C2212yescomplemented
197#19099097C2214yescomplemented
198#19099097C2212yescomplemented
199#19099096C2214yescomplemented
200#19099096C2214yescomplemented
201#19099095C2214yescomplemented
202#19099095C2212yescomplemented
203#19099095C2212yescomplemented
204#19099093C2214yescomplemented
205#19099093C2214yescomplemented
206#19099093C2214yescomplemented
207#19099093C2214yescomplemented
208#19099092C2212yescomplemented
209#19099091C2214yescomplemented
210#19099091C2214yescomplemented
211#19099091C2214yescomplemented
212#19099091C2214yescomplemented
213#19099091C2214yescomplemented
214#19099090C2214yescomplemented
215C2×#14579151C2212yescomplemented
216#124×D79C2212yescomplemented
217#19099076C2212yescomplemented
218#19099075C2212yescomplemented
219#19099073C2212yescomplemented
220#19099072C2214yes—
221#19099072C2214yes—
222#19099072C2214yescomplemented
223#19099072C2214yescomplemented
224#19099072C2214yescomplemented
225#19099071C2214yescomplemented
226#19099070C2212yescomplemented
227C2×#14579141C2211yescharacteristic
228C2×#14579139C2212yes—
229C2×#14579137C2211yescharacteristic
230#121×D79C2212yes—
231#121×D79C2212yes—
232#19099045C2212yescomplemented
233#19099045C2212yescomplemented
234#19099042C2214yescomplemented
235#19099042C2214yescomplemented
236#19099042C2212yescomplemented
237#19099042C2212yescomplemented
238#19099039C2212yescomplemented
239#19099039C2212yescomplemented
240#19099035C2214yes—
241#19099035C2214yes—
242#19099035C2212yescomplemented
243#19099035C2212yescomplemented
244#41×Dic79C2211yescharacteristic, complemented
245#41×Dic79C2212yescomplemented
246C4×#11929625C2211yescharacteristic
247C4×#11929625C2211yescharacteristic
248C4×#11929625C2212yescomplemented
249C4×#11929624C2212yes—
250C4×#11929624C2214yescomplemented
251C4×#11929624C2211yescharacteristic, complemented
252C4×#11929624C2212yescomplemented
253C4×#11929624C2214yescomplemented
254C4×#11929624C2212yescomplemented
255#19099031C2212yes—
256#19099031C2214yescomplemented
257#19099031C2211yescharacteristic, complemented
258#19099031C2212yescomplemented
259C4×#11929623C2211yescharacteristic
260C4×#11929623C2211yescharacteristic
261C4×#11929623C2212yescomplemented
262C4×#11929623C2212yescomplemented
263C4×#11929623C2214yescomplemented
264C4×#11929623C2212yescomplemented
265C2×C4×Dic158C2212yescomplemented
266C2×C4×Dic158C2211yescharacteristic, complemented
267C4×Q8×D79C2211yescharacteristic, complemented
268C4×Q8×D79C2211yescharacteristic, complemented
269C4×D4×D79C2212yes—
270C4×D4×D79C2212yes—
271C4×D4×D79C2211yescharacteristic, complemented
272C4×D4×D79C2211yescharacteristic, complemented
273C4×D4×D79C2212yescomplemented
274C4×D4×D79C2212yescomplemented
275C2×#14579118C2212yes—
276C2×#14579118C2214yescomplemented
277#117×D79C2211yescharacteristic
278#117×D79C2212yescomplemented
279#117×D79C2214yescomplemented
280C2×C42×D79C2211yescharacteristic
281C2×C42×D79C2212yescomplemented
282#559×C79C2212yescomplemented
283#559×C79C2211yescharacteristic, complemented
284#557×C79C2211yescharacteristic, complemented
285#556×C79C2211yescharacteristic, complemented
286#556×C79C2212yescomplemented
287#553×C79C2212yescomplemented
288#553×C79C2214yescomplemented
289#550×C79C2211yescharacteristic, complemented
290#548×C79C2212yescomplemented
291#532×C79C2211yescharacteristic, complemented
292#532×C79C2212yescomplemented
293#529×C79C2214yescomplemented
294#529×C79C2212yescomplemented
295C4×#41×C79C2211yescharacteristic, complemented
296C4×#41×C79C2212yescomplemented
297C4×#41×C79C2212yescomplemented
298C2×C4×Q8×C79C2211yescharacteristic, complemented
299C2×#11929625C2311yescharacteristic
300C2×#11929625C2312yes—
301C2×#11929625C2312yes—
302C2×#11929624C2312yes—
303C2×#11929624C2314yes—
304C2×#11929624C2311yescharacteristic
305C2×#11929624C2312yes—
306C2×#11929624C2314yes—
307C2×#11929624C2312yes—
308C2×#11929623C2312yes—
309C2×#11929623C2314yes—
310C2×#11929623C2311yescharacteristic
311C2×#11929623C2312yes—
312C2×#11929623C2314yes—
313C2×#11929623C2312yes—
314#41×D79—28no—
315#41×D79—216no—
316C22×Dic158C2312yes—
317C22×Dic158C2311yescharacteristic
318C2×Q8×D79C2312yes—
319C2×Q8×D79C2311yescharacteristic
320C2×D4×D79C2312yes—
321C2×D4×D79C2311yescharacteristic
322C2×D4×D79C2314yes—
323C2×D4×D79C2312yes—
324C2×D4×D79C2312yes—
325C2×D4×D79C2312yes—
326C22×C4×D79C2312yes—
327C22×C4×D79C2314yes—
328C22×C4×D79C2311yescharacteristic
329C22×C4×D79C2311yescharacteristic
330C22×C4×D79C2312yes—
331C22×C4×D79C2312yes—
332C22×C4×D79C2311yescharacteristic
333#14579161C2311yescharacteristic
334#14579161C2312yes—
335#14579160C2312yes—
336#14579160C2312yes—
337#14579160C2312yes—
338#14579160C2311yescharacteristic
339#14579160C2311yescharacteristic
340#14579160C2312yes—
341#14579160C2311yescharacteristic
342#14579160C2311yescharacteristic
343#14579159C2312yes—
344#14579159C2312yes—
345#14579159C2312yes—
346#14579159C2311yescharacteristic
347#14579159C2311yescharacteristic
348#14579159C2312yes—
349#14579159C2312yes—
350#14579159C2311yescharacteristic
351#14579159C2311yescharacteristic
352#14579158C2311yescharacteristic
353#14579158C2312yes—
354#14579157C2312yes—
355#14579157C2312yes—
356#14579157C2312yes—
357#14579157C2312yes—
358#14579157C2312yes—
359#14579156C2314yes—
360#14579156C2314yes—
361#14579156C2314yes—
362#14579156C2314yes—
363#14579156C2314yes—
364#14579156C2314yes—
365#14579156C2314yes—
366#14579156C2314yes—
367#14579156C2314yes—
368#14579155C2314yes—
369#14579155C2314yes—
370#14579155C2314yes—
371#14579154C2314yes—
372#14579154C2314yes—
373#14579154C2314yes—
374#14579154C2314yes—
375#14579154C2314yes—
376#14579154C2314yes—
377#14579154C2314yes—
378#14579154C2314yes—
379#14579154C2314yes—
380#14579153C2314yes—
381#14579153C2312yes—
382#14579152C2314yes—
383#14579152C2314yes—
384#14579152C2312yes—
385#14579152C2312yes—
386#14579151C2314yes—
387#14579151C2314yes—
388#14579151C2314yes—
389#14579151C2314yes—
390#14579151C2312yes—
391#14579151C2312yes—
392#14579151C2312yes—
393#14579151C2314yes—
394#14579151C2312yes—
395#14579151C2312yes—
396#14579151C2314yes—
397#14579151C2312yes—
398#14579151C2312yes—
399#14579151C2312yes—
400#14579150C2312yes—
401#14579150C2312yes—
402#14579150C2314yes—
403#14579150C2312yes—
404#14579150C2312yes—
405#14579149C2312yes—
406#14579149C2312yes—
407#14579149C2314yes—
408#14579149C2312yes—
409#14579149C2312yes—
410#14579148C2314yes—
411#14579148C2312yes—
412#14579148C2312yes—
413#14579148C2312yes—
414#14579148C2312yes—
415#14579147C2314yes—
416#14579147C2314yes—
417#14579147C2314yes—
418#14579147C2314yes—
419#14579147C2314yes—
420#14579147C2314yes—
421#14579147C2314yes—
422#14579147C2314yes—
423#14579146C2314yes—
424#14579146C2314yes—
425#14579146C2314yes—
426#14579146C2314yes—
427#14579146C2314yes—
428#14579146C2314yes—
429#14579146C2314yes—
430#14579146C2314yes—
431#14579146C2314yes—
432#14579146C2314yes—
433#14579145C2314yes—
434#14579145C2314yes—
435#14579145C2314yes—
436#14579144C2314yes—
437#14579144C2314yes—
438#14579144C2314yes—
439#14579143C2314yes—
440#14579143C2314yes—
441#14579143C2314yes—
442#14579143C2314yes—
443#14579143C2314yes—
444#14579143C2314yes—
445#14579143C2314yes—
446#14579143C2314yes—
447#14579143C2314yes—
448#14579143C2314yes—
449#14579142C2314yes—
450#14579142C2314yes—
451#14579142C2314yes—
452#14579141C2312yes—
453#14579141C2314yes—
454#14579141C2311yescharacteristic
455#14579141C2311yescharacteristic
456#14579141C2312yes—
457#14579141C2312yes—
458#14579141C2311yescharacteristic
459#14579141C2311yescharacteristic
460#14579140C2314yes—
461#14579140C2312yes—
462#14579139C2314yes—
463#14579139C2314yes—
464#14579139C2314yes—
465#14579139C2314yes—
466#14579139C2312yes—
467#14579139C2312yes—
468#14579139C2314yes—
469#14579139C2314yes—
470#14579139C2312yes—
471#14579139C2312yes—
472#14579139C2314yes—
473#14579139C2312yes—
474#14579139C2312yes—
475#14579139C2312yes—
476#14579139C2312yes—
477#14579138C2314yes—
478#14579138C2314yes—
479#14579138C2314yes—
480#14579138C2314yes—
481#14579138C2314yes—
482#14579138C2314yes—
483#14579138C2314yes—
484#14579137C2312yes—
485#14579137C2314yes—
486#14579137C2311yescharacteristic
487#14579137C2311yescharacteristic
488#14579137C2312yes—
489#14579137C2312yes—
490#14579137C2311yescharacteristic
491#14579137C2311yescharacteristic
492#14579136C2312yes—
493#14579136C2314yes—
494#14579136C2312yes—
495#14579136C2312yes—
496#14579135C2314yes—
497#14579135C2314yes—
498#14579135C2314yes—
499#14579135C2312yes—
500#14579135C2312yes—
501#14579135C2312yes—
502#14579134C2314yes—
503#14579134C2314yes—
504#14579134C2314yes—
505#14579134C2314yes—
506#14579134C2314yes—
507#14579134C2314yes—
508#14579134C2314yes—
509#14579134C2314yes—
510#14579134C2314yes—
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#14579132C2312yes—
525#14579132C2314yes—
526#14579132C2312yes—
527#14579132C2312yes—
528#14579131C2314yes—
529#14579131C2314yes—
530#14579131C2314yes—
531#14579131C2314yes—
532#14579129C2314yes—
533#14579129C2314yes—
534#14579129C2314yes—
535#14579129C2314yes—
536Q8×Dic79C2312yes—
537Q8×Dic79C2311yescharacteristic
538Q8×Dic79C2311yescharacteristic
539Q8×Dic79C2312yes—
540Q8×Dic79C2312yes—
541C4×Dic158C2314yes—
542C4×Dic158C2314yes—
543C4×Dic158C2314yes—
544C4×Dic158C2312yes—
545C4×Dic158C2311yescharacteristic
546C4×Dic158C2312yes—
547C4×Dic158C2312yes—
548C4×Dic158C2311yescharacteristic
549C4×Dic158C2312yes—
550C4×Dic158C2312yes—
551C4×Dic158C2311yescharacteristic
552C4×Dic158C2311yescharacteristic
553C4×Dic158C2312yes—
554C4×Dic158C2312yes—
555C4×Dic158C2312yes—
556C4×Dic158C2312yes—
557C4×Dic158C2312yes—
558C4×Dic158C2311yescharacteristic
559C4×Dic158C2312yes—
560C4×Dic158C2311yescharacteristic
561C4×Dic158C2312yes—
562C4×Dic158C2312yes—
563C4×Dic158C2312yes—
564C4×Dic158C2312yes—
565#14579126C2314yes—
566#14579126C2314yes—
567#14579126C2314yes—
568#14579126C2312yes—
569#14579126C2312yes—
570#14579126C2312yes—
571#14579126C2311yescharacteristic
572#14579126C2311yescharacteristic
573#14579126C2312yes—
574#14579126C2312yes—
575C4×D316C2314yes—
576C4×D316C2314yes—
577C4×D316C2312yes—
578C4×D316C2312yes—
579C4×D316C2311yescharacteristic
580C4×D316C2312yes—
581C4×D316C2312yes—
582C4×D316C2312yes—
583C4×D316C2314yes—
584C4×D316C2311yescharacteristic
585C4×D316C2312yes—
586C4×D316C2312yes—
587C4×D316C2314yes—
588C4×D316C2314yes—
589D4×Dic79C2312yes—
590D4×Dic79C2312yes—
591D4×Dic79C2312yes—
592D4×Dic79C2314yes—
593D4×Dic79C2314yes—
594D4×Dic79C2311yescharacteristic
595D4×Dic79C2312yes—
596D4×Dic79C2312yes—
597D4×Dic79C2314yes—
598D4×Dic79C2312yes—
599D4×Dic79C2312yes—
600D4×Dic79C2311yescharacteristic
601#14579123C2314yes—
602#14579123C2314yes—
603#14579123C2312yes—
604#14579123C2312yes—
605#14579123C2312yes—
606#14579123C2311yescharacteristic
607#14579123C2312yes—
608#14579123C2312yes—
609#14579123C2312yes—
610#14579123C2314yes—
611#14579123C2312yes—
612#14579123C2311yescharacteristic
613C4×C22⋊D79C2314yes—
614C4×C22⋊D79C2314yes—
615C4×C22⋊D79C2314yes—
616C4×C22⋊D79C2314yes—
617C4×C22⋊D79C2312yes—
618C4×C22⋊D79C2314yes—
619C4×C22⋊D79C2312yes—
620C4×C22⋊D79C2312yes—
621C4×C22⋊D79C2314yes—
622C4×C22⋊D79C2314yes—
623C4×C22⋊D79C2314yes—
624C4×C22⋊D79C2312yes—
625C4×C22⋊D79C2314yes—
626C4×C22⋊D79C2312yes—
627C4×C22⋊D79C2312yes—
628C4×C22⋊D79C2314yes—
629C4×C22⋊D79C2314yes—
630C4×C22⋊D79C2314yes—
631C4×C22⋊D79C2314yes—
632C4×C22⋊D79C2314yes—
633C4×C22⋊D79C2314yes—
634(C22⋊D79)⋊C4C2314yes—
635(C22⋊D79)⋊C4C2314yes—
636(C22⋊D79)⋊C4C2314yes—
637(C22⋊D79)⋊C4C2314yes—
638(C22⋊D79)⋊C4C2312yes—
639(C22⋊D79)⋊C4C2314yes—
640(C22⋊D79)⋊C4C2312yes—
641(C22⋊D79)⋊C4C2314yes—
642(C22⋊D79)⋊C4C2312yes—
643(C22⋊D79)⋊C4C2314yes—
644(C22⋊D79)⋊C4C2314yes—
645(C22⋊D79)⋊C4C2312yes—
646(C22⋊D79)⋊C4C2314yes—
647(C22⋊D79)⋊C4C2314yes—
648(C22⋊D79)⋊C4C2314yes—
649(C22⋊D79)⋊C4C2312yes—
650(C22⋊D79)⋊C4C2312yes—
651#14579120C2314yes—
652#14579120C2312yes—
653#14579120C2311yescharacteristic
654#14579120C2312yes—
655#14579120C2314yes—
656#14579119C2312yes—
657#14579119C2312yes—
658#14579119C2314yes—
659#14579119C2314yes—
660#14579119C2314yes—
661#14579119C2314yes—
662#14579119C2312yes—
663#14579119C2312yes—
664#14579119C2311yescharacteristic
665#14579119C2311yescharacteristic
666#14579118C2312yes—
667#14579118C2312yes—
668#14579118C2314yes—
669#14579118C2314yes—
670#14579118C2314yes—
671#14579118C2314yes—
672#14579118C2314yes—
673#14579118C2314yes—
674#14579118C2314yes—
675#14579118C2312yes—
676#14579118C2312yes—
677#14579118C2312yes—
678#14579118C2312yes—
679#14579118C2312yes—
680#14579118C2312yes—
681#14579118C2312yes—
682#14579118C2312yes—
683#14579118C2312yes—
684#14579118C2314yes—
685#14579118C2314yes—
686#14579117C2312yes—
687#14579117C2312yes—
688#14579117C2314yes—
689#14579117C2314yes—
690#14579117C2314yes—
691#14579117C2314yes—
692#14579117C2314yes—
693#14579117C2312yes—
694C2×C4⋊Dic79C2311yescharacteristic
695C2×C4⋊Dic79C2312yes—
696C2×Dic79⋊C4C2312yes—
697C2×Dic79⋊C4C2312yes—
698C2×Dic79⋊C4C2314yes—
699C2×Dic79⋊C4C2314yes—
700C2×Dic79⋊C4C2312yes—
701C2×Dic79⋊C4C2312yes—
702C2×Dic79⋊C4C2312yes—
703C4⋊C4×D79C2312yes—
704C4⋊C4×D79C2312yes—
705C4⋊C4×D79C2314yes—
706C4⋊C4×D79C2314yes—
707C4⋊C4×D79C2312yes—
708C4⋊C4×D79C2312yes—
709C4⋊C4×D79C2311yescharacteristic
710C4⋊C4×D79C2311yescharacteristic
711C2×(C2×D79)⋊C4C2314yes—
712C2×(C2×D79)⋊C4C2314yes—
713C2×(C2×D79)⋊C4C2312yes—
714C2×(C2×D79)⋊C4C2312yes—
715C22⋊C4×D79C2312yes—
716C22⋊C4×D79C2312yes—
717C22⋊C4×D79C2314yes—
718C22⋊C4×D79C2314yes—
719C22⋊C4×D79C2314yes—
720C22⋊C4×D79C2314yes—
721C22⋊C4×D79C2312yes—
722C2×C4×Dic79C2311yescharacteristic
723C2×C4×Dic79C2311yescharacteristic
724C2×C4×Dic79C2311yescharacteristic
725C2×C4×Dic79C2312yes—
726C2×C4×Dic79C2312yes—
727C2×C4×Dic79C2312yes—
728C2×C4×Dic79C2312yes—
729C2×C4×Dic79C2314yes—
730C42×D79C2311yescharacteristic
731C42×D79C2311yescharacteristic
732C42×D79C2311yescharacteristic
733C42×D79C2311yescharacteristic
734C42×D79C2311yescharacteristic
735C42×D79C2311yescharacteristic
736C42×D79C2311yescharacteristic
737C42×D79C2311yescharacteristic
738C42×D79C2312yes—
739C42×D79C2312yes—
740C42×D79C2312yes—
741C42×D79C2312yes—
742C42×D79C2312yes—
743C42×D79C2312yes—
744C42×D79C2312yes—
745C42×D79C2314yes—
746C42×D79C2314yes—
747C2×#41×C79C2311yescharacteristic
748C2×#41×C79C2312yes—
749C2×#41×C79C2312yes—
750C22×Q8×C79C2311yescharacteristic
751C4⋊Q8×C79C2312yes—
752C4⋊Q8×C79C2311yescharacteristic
753#127×C79C2311yescharacteristic
754#127×C79C2312yes—
755#126×C79C2314yes—
756#126×C79C2314yes—
757#126×C79C2314yes—
758#125×C79C2314yes—
759#125×C79C2312yes—
760#124×C79C2314yes—
761#124×C79C2312yes—
762#124×C79C2312yes—
763#124×C79C2312yes—
764#124×C79C2312yes—
765#123×C79C2314yes—
766#123×C79C2314yes—
767#123×C79C2314yes—
768C22⋊Q8×C79C2314yes—
769C22⋊Q8×C79C2312yes—
770#121×C79C2314yes—
771#121×C79C2314yes—
772#121×C79C2314yes—
773#121×C79C2312yes—
774#121×C79C2312yes—
775#121×C79C2312yes—
776C4×Q8×C79C2311yescharacteristic
777C4×Q8×C79C2311yescharacteristic
778C4×Q8×C79C2311yescharacteristic
779C4×Q8×C79C2312yes—
780C4×Q8×C79C2311yescharacteristic
781C4×Q8×C79C2312yes—
782C4×Q8×C79C2312yes—
783C4×Q8×C79C2311yescharacteristic
784C4×Q8×C79C2312yes—
785C4×Q8×C79C2311yescharacteristic
786C4×Q8×C79C2312yes—
787C4×D4×C79C2312yes—
788C4×D4×C79C2312yes—
789C4×D4×C79C2314yes—
790C4×D4×C79C2311yescharacteristic
791C4×D4×C79C2312yes—
792C4×D4×C79C2314yes—
793C4×D4×C79C2312yes—
794C4×D4×C79C2314yes—
795C4×D4×C79C2314yes—
796C4×D4×C79C2312yes—
797C4×D4×C79C2312yes—
798C4×D4×C79C2311yescharacteristic
799C4×D4×C79C2312yes—
800C4×D4×C79C2314yes—
801#117×C79C2311yescharacteristic
802#117×C79C2314yes—
803#117×C79C2312yes—
804#117×C79C2314yes—
805#117×C79C2312yes—
806C2×C4⋊C4×C79C2312yes—
807C2×C4⋊C4×C79C2311yescharacteristic
808C2×C42×C79C2311yescharacteristic
809C2×C42×C79C2312yes—
810C2×C42×C79C2312yes—
811C2×C42×C79C2314yes—
812C23×D79C2414yes—
813C23×D79C2412yes—
814C23×D79C2411yescharacteristic
815#11929625—24no—
816#11929625—28no—
817#11929625—44no—
818#11929624—28no—
819#11929624—216no—
820#11929624—24no—
821#11929624—28no—
822#11929624—48no—
823#11929624—44no—
824#11929623—28no—
825#11929623—216no—
826#11929623—24no—
827#11929623—28no—
828#11929623—48no—
829#11929623—44no—
830C2×Dic158—42no—
831C2×Dic158—44no—
832C2×Dic158C2412yes—
833C2×Dic158C2414yes—
834C2×Dic158C2412yes—
835C2×Dic158C2411yescharacteristic
836C2×Dic158C2412yes—
837C2×Dic158C2411yescharacteristic
838C2×Dic158C2412yes—
839C2×Dic158C2411yescharacteristic
840C2×Dic158C2412yes—
841C2×Dic158C2412yes—
842C2×Dic158C2412yes—
843Q8×D79—28no—
844Q8×D79—24no—
845C2×D316C2412yes—
846C2×D316C2414yes—
847C2×D316C2412yes—
848C2×D316C2411yescharacteristic
849C2×D316C2412yes—
850C2×D316C2414yes—
851C2×D316C2414yes—
852C2×D316C2412yes—
853C2×C22⋊D79C2412yes—
854C2×C22⋊D79C2414yes—
855C2×C22⋊D79C2412yes—
856C2×C22⋊D79C2412yes—
857C2×C22⋊D79C2414yes—
858C2×C22⋊D79C2414yes—
859C2×C22⋊D79C2414yes—
860C2×C22⋊D79C2414yes—
861C2×C22⋊D79C2414yes—
862C2×C22⋊D79C2414yes—
863C2×C22⋊D79C2414yes—
864C2×C22⋊D79C2414yes—
865D4×D79—24no—
866D4×D79—28no—
867D4×D79—28no—
868D4×D79—216no—
869D4×D79—44no—
870D4×D79—44no—
871C22×Dic79C2411yescharacteristic
872C22×Dic79C2412yes—
873C22×Dic79C2412yes—
874C22×Dic79C2414yes—
875C22×Dic79C2412yes—
876C22×Dic79C2412yes—
877C22×Dic79C2414yes—
878C22×Dic79C2414yes—
879C22×Dic79C2411yescharacteristic
880C22×Dic79C2412yes—
881C22×Dic79C2411yescharacteristic
882C2×C4×D79—28no—
883C2×C4×D79—216no—
884C2×C4×D79—42no—
885C2×C4×D79—44no—
886C2×C4×D79—42no—
887C2×C4×D79—44no—
888C2×C4×D79#4118yescomplemented
889C2×C4×D79C2412yes—
890C2×C4×D79C2414yes—
891C2×C4×D79C2412yes—
892C2×C4×D79C2412yes—
893C2×C4×D79C2414yes—
894C2×C4×D79C2412yes—
895C2×C4×D79C2412yes—
896C2×C4×D79C2414yes—
897C2×C4×D79C2411yescharacteristic
898C2×C4×D79C2411yescharacteristic
899C2×C4×D79C2411yescharacteristic
900C2×C4×D79C2411yescharacteristic
901C2×C4×D79C2414yes—
902C2×C4×D79C2414yes—
903C2×C4×D79C2414yes—
904C2×C4×D79C2414yes—
905C2×C4×D79C2411yescharacteristic
906C2×C4×D79C2411yescharacteristic
907C2×C4×D79C2412yes—
908C2×C4×D79C2412yes—
909C2×C4×D79C2411yescharacteristic
910C2×C4×D79C2411yescharacteristic
911C2×C4×D79C2412yes—
912C2×C4×D79C2412yes—
913C2×C4×D79C2411yescharacteristic
914C2×C4×D79C2411yescharacteristic
915C2×C4×D79C2411yescharacteristic
916C2×C4×D79C2411yescharacteristic
917C4⋊Dic79C2411yescharacteristic
918C4⋊Dic79C2411yescharacteristic
919C4⋊Dic79C2412yes—
920C4⋊Dic79C2412yes—
921C4⋊Dic79C2414yes—
922C4⋊Dic79C2414yes—
923C4⋊Dic79C2412yes—
924C4⋊Dic79C2412yes—
925C4⋊Dic79C2411yescharacteristic
926C4⋊Dic79C2412yes—
927C4⋊Dic79C2411yescharacteristic
928C4⋊Dic79C2412yes—
929C4⋊Dic79C2412yes—
930C4⋊Dic79C2412yes—
931C4⋊Dic79C2412yes—
932C4⋊Dic79C2414yes—
933C4⋊Dic79C2414yes—
934Dic79⋊C4C2412yes—
935Dic79⋊C4C2412yes—
936Dic79⋊C4C2412yes—
937Dic79⋊C4C2412yes—
938Dic79⋊C4C2414yes—
939Dic79⋊C4C2412yes—
940Dic79⋊C4C2412yes—
941Dic79⋊C4C2412yes—
942Dic79⋊C4C2412yes—
943Dic79⋊C4C2414yes—
944Dic79⋊C4C2412yes—
945Dic79⋊C4C2412yes—
946Dic79⋊C4C2412yes—
947Dic79⋊C4C2412yes—
948Dic79⋊C4C2412yes—
949Dic79⋊C4C2412yes—
950Dic79⋊C4C2412yes—
951Dic79⋊C4C2414yes—
952Dic79⋊C4C2414yes—
953Dic79⋊C4C2412yes—
954Dic79⋊C4C2412yes—
955Dic79⋊C4C2412yes—
956Dic79⋊C4C2414yes—
957Dic79⋊C4C2412yes—
958Dic79⋊C4C2414yes—
959Dic79⋊C4C2412yes—
960Dic79⋊C4C2412yes—
961Dic79⋊C4C2412yes—
962Dic79⋊C4C2412yes—
963Dic79⋊C4C2412yes—
964Dic79⋊C4C2412yes—
965Dic79⋊C4C2412yes—
966Dic79⋊C4C2414yes—
967Dic79⋊C4C2414yes—
968Dic79⋊C4C2414yes—
969Dic79⋊C4C2414yes—
970C22⋊Dic79C2412yes—
971C22⋊Dic79C2412yes—
972C22⋊Dic79C2414yes—
973C22⋊Dic79C2414yes—
974C22⋊Dic79C2414yes—
975C22⋊Dic79C2412yes—
976C22⋊Dic79C2414yes—
977C22⋊Dic79C2414yes—
978C22⋊Dic79C2414yes—
979C22⋊Dic79C2414yes—
980C22⋊Dic79C2414yes—
981(C2×D79)⋊C4C2412yes—
982(C2×D79)⋊C4C2412yes—
983(C2×D79)⋊C4C2412yes—
984(C2×D79)⋊C4C2412yes—
985(C2×D79)⋊C4C2412yes—
986(C2×D79)⋊C4C2414yes—
987(C2×D79)⋊C4C2412yes—
988(C2×D79)⋊C4C2414yes—
989(C2×D79)⋊C4C2412yes—
990(C2×D79)⋊C4C2412yes—
991(C2×D79)⋊C4C2414yes—
992(C2×D79)⋊C4C2414yes—
993(C2×D79)⋊C4C2412yes—
994(C2×D79)⋊C4C2412yes—
995(C2×D79)⋊C4C2412yes—
996(C2×D79)⋊C4C2412yes—
997(C2×D79)⋊C4C2414yes—
998(C2×D79)⋊C4C2414yes—
999(C2×D79)⋊C4C2412yes—
1000(C2×D79)⋊C4C2412yes—
1001(C2×D79)⋊C4C2414yes—
1002(C2×D79)⋊C4C2414yes—
1003(C2×D79)⋊C4C2414yes—
1004(C2×D79)⋊C4C2414yes—
1005(C2×D79)⋊C4C2414yes—
1006(C2×D79)⋊C4C2414yes—
1007(C2×D79)⋊C4C2414yes—
1008(C2×D79)⋊C4C2414yes—
1009(C2×D79)⋊C4C2414yes—
1010(C2×D79)⋊C4C2414yes—
1011C4×Dic79C2412yes—
1012C4×Dic79C2411yescharacteristic
1013C4×Dic79C2411yescharacteristic
1014C4×Dic79C2411yescharacteristic
1015C4×Dic79C2412yes—
1016C4×Dic79C2412yes—
1017C4×Dic79C2412yes—
1018C4×Dic79C2412yes—
1019C4×Dic79C2411yescharacteristic
1020C4×Dic79C2411yescharacteristic
1021C4×Dic79C2412yes—
1022C4×Dic79C2411yescharacteristic
1023C4×Dic79C2412yes—
1024C4×Dic79C2411yescharacteristic
1025C4×Dic79C2411yescharacteristic
1026C4×Dic79C2412yes—
1027C4×Dic79C2411yescharacteristic
1028C4×Dic79C2412yes—
1029C4×Dic79C2411yescharacteristic
1030C4×Dic79C2412yes—
1031C4×Dic79C2411yescharacteristic
1032C4×Dic79C2411yescharacteristic
1033C4×Dic79C2414yes—
1034C4×Dic79C2414yes—
1035C4×Dic79C2414yes—
1036C4×Dic79C2414yes—
1037C4×Dic79C2412yes—
1038C4×Dic79C2414yes—
1039C4×Dic79C2414yes—
1040C4×Dic79C2412yes—
1041C4×Dic79C2412yes—
1042#41×C79—24no—
1043#41×C79—28no—
1044#41×C79—44no—
1045C2×Q8×C79—42no—
1046C2×Q8×C79C2412yes—
1047C2×Q8×C79C2411yescharacteristic
1048C2×Q8×C79C2411yescharacteristic
1049C2×Q8×C79C2411yescharacteristic
1050C2×Q8×C79C2412yes—
1051C2×D4×C79C2412yes—
1052C2×D4×C79C2414yes—
1053C2×D4×C79C2412yes—
1054C2×D4×C79C2411yescharacteristic
1055C2×D4×C79C2412yes—
1056C2×D4×C79C2414yes—
1057C2×D4×C79C2414yes—
1058C2×D4×C79C2412yes—
1059C22×C4×C79C2411yescharacteristic
1060C22×C4×C79C2412yes—
1061C22×C4×C79C2414yes—
1062C22×C4×C79C2412yes—
1063C22×C4×C79C2412yes—
1064C22×C4×C79C2414yes—
1065C22×C4×C79C2411yescharacteristic
1066C22×C4×C79C2412yes—
1067C22×C4×C79C2414yes—
1068C22×C4×C79C2412yes—
1069C22×C4×C79C2411yescharacteristic
1070C4⋊C4×C79C2411yescharacteristic
1071C4⋊C4×C79C2412yes—
1072C4⋊C4×C79C2411yescharacteristic
1073C4⋊C4×C79C2412yes—
1074C4⋊C4×C79C2412yes—
1075C4⋊C4×C79C2412yes—
1076C4⋊C4×C79C2412yes—
1077C4⋊C4×C79C2411yescharacteristic
1078C4⋊C4×C79C2411yescharacteristic
1079C4⋊C4×C79C2412yes—
1080C4⋊C4×C79C2414yes—
1081C4⋊C4×C79C2412yes—
1082C4⋊C4×C79C2414yes—
1083C4⋊C4×C79C2414yes—
1084C4⋊C4×C79C2412yes—
1085C4⋊C4×C79C2412yes—
1086C4⋊C4×C79C2414yes—
1087C22⋊C4×C79C2412yes—
1088C22⋊C4×C79C2412yes—
1089C22⋊C4×C79C2414yes—
1090C22⋊C4×C79C2414yes—
1091C22⋊C4×C79C2414yes—
1092C22⋊C4×C79C2414yes—
1093C22⋊C4×C79C2414yes—
1094C22⋊C4×C79C2412yes—
1095C22⋊C4×C79C2414yes—
1096C22⋊C4×C79C2414yes—
1097C22⋊C4×C79C2414yes—
1098C42×C79C2412yes—
1099C42×C79C2411yescharacteristic
1100C42×C79C2412yes—
1101C42×C79C2411yescharacteristic
1102C42×C79C2412yes—
1103C42×C79C2412yes—
1104C42×C79C2414yes—
1105C42×C79C2412yes—
1106C42×C79C2414yes—
1107C42×C79C2411yescharacteristic
1108C42×C79C2412yes—
1109C42×C79C2411yescharacteristic
1110C42×C79C2412yes—
1111C23×C79C2514yes—
1112C23×C79C2512yes—
1113C23×C79C2511yescharacteristic
1114C22×D79—24no—
1115C22×D79—28no—
1116C22×D79—41no—
1117C22×D79—41no—
1118C22×D79—42no—
1119C22×D79—42no—
1120C22×D79—44no—
1121C22×D79—44no—
1122C22×D79C2×#4114yes—
1123C22×D79C2514yes—
1124C22×D79C2512yes—
1125C22×D79C2511yescharacteristic
1126C22×D79C2511yescharacteristic
1127Q8×C79—24no—
1128Q8×C79—22no—
1129Q8×C79—22no—
1130Q8×C79—22no—
1131Q8×C79—42no—
1132D4×C79—24no—
1133D4×C79—28no—
1134D4×C79—22no—
1135D4×C79—24no—
1136D4×C79—24no—
1137D4×C79—42no—
1138D4×C79—44no—
1139D4×C79—44no—
1140C2×C4×C79—24no—
1141C2×C4×C79—28no—
1142C2×C4×C79—22no—
1143C2×C4×C79—24no—
1144C2×C4×C79—42no—
1145C2×C4×C79—41no—
1146C2×C4×C79—42no—
1147C2×C4×C79—44no—
1148C2×C4×C79—42no—
1149C2×C4×C79—44no—
1150C2×C4×C79C2×#4114yes—
1151C2×C4×C79C2512yes—
1152C2×C4×C79C2511yescharacteristic
1153C2×C4×C79C2512yes—
1154C2×C4×C79C2511yescharacteristic
1155C2×C4×C79C2512yes—
1156C2×C4×C79C2512yes—
1157C2×C4×C79C2514yes—
1158C2×C4×C79C2512yes—
1159C2×C4×C79C2511yescharacteristic
1160C2×C4×C79C2512yes—
1161C2×C4×C79C2512yes—
1162C2×C4×C79C2511yescharacteristic
1163C2×C4×C79C2511yescharacteristic
1164C2×C4×C79C2511yescharacteristic
1165C22⋊D79—24no—
1166C22⋊D79—28no—
1167C22⋊D79—28no—
1168C22⋊D79—24no—
1169C22⋊D79—28no—
1170C22⋊D79—24no—
1171C22⋊D79—28no—
1172C22⋊D79—44no—
1173C22⋊D79—44no—
1174C22⋊D79—44no—
1175C22⋊D79—44no—
1176C22⋊D79—44no—
1177C2×Dic79—24no—
1178C2×Dic79—28no—
1179C2×Dic79—22no—
1180C2×Dic79—24no—
1181C2×Dic79—41no—
1182C2×Dic79—42no—
1183C2×Dic79—42no—
1184C2×Dic79—42no—
1185C2×Dic79—44no—
1186C2×Dic79—44no—
1187C2×Dic79C2×#4114yes—
1188C2×Dic79C2512yes—
1189C2×Dic79C2511yescharacteristic
1190C2×Dic79C2512yes—
1191C2×Dic79C2511yescharacteristic
1192C2×Dic79C2512yes—
1193C2×Dic79C2512yes—
1194C2×Dic79C2512yes—
1195C2×Dic79C2514yes—
1196C2×Dic79C2512yes—
1197C2×Dic79C2512yes—
1198C2×Dic79C2511yescharacteristic
1199C2×Dic79C2511yescharacteristic
1200C2×Dic79C2511yescharacteristic
1201C2×Dic79C2511yescharacteristic
1202D316—28no—
1203D316—24no—
1204D316—22no—
1205D316—24no—
1206D316—24no—
1207D316—42no—
1208D316—44no—
1209D316—44no—
1210C4×D79—24no—
1211C4×D79—28no—
1212C4×D79—24no—
1213C4×D79—28no—
1214C4×D79—22no—
1215C4×D79—22no—
1216C4×D79—24no—
1217C4×D79—24no—
1218C4×D79—28no—
1219C4×D79—22no—
1220C4×D79—22no—
1221C4×D79—24no—
1222C4×D79—41no—
1223C4×D79—41no—
1224C4×D79—41no—
1225C4×D79—42no—
1226C4×D79—42no—
1227C4×D79—41no—
1228C4×D79—42no—
1229C4×D79—42no—
1230C4×D79—44no—
1231C4×D79—44no—
1232C4×D79—44no—
1233C4×D79—44no—
1234C4×D79C2×#4114yes—
1235C4×D79C2×#4114yes—
1236C4×D79C2×#4114yes—
1237C4×D79C2×#4114yes—
1238Dic158—24no—
1239Dic158—22no—
1240Dic158—22no—
1241Dic158—22no—
1242Dic158—28no—
1243Dic158—24no—
1244Dic158—24no—
1245Dic158—24no—
1246Dic158—42no—
1247Dic158—42no—
1248Dic158—42no—
1249C22×C79—21no—
1250C22×C79—21no—
1251C22×C79—22no—
1252C22×C79—24no—
1253C22×C79—24no—
1254C22×C79—22no—
1255C22×C79—24no—
1256C22×C79—22no—
1257C22×C79C22×#4112yes—
1258C22×C79C2611yescharacteristic
1259C2×D79—21no—
1260C2×D79—21no—
1261C2×D79—21no—
1262C2×D79—21no—
1263C2×D79—22no—
1264C2×D79—24no—
1265C2×D79—24no—
1266C2×D79—22no—
1267C2×D79—22no—
1268C2×D79—24no—
1269C2×D79—44no—
1270C2×D79—48no—
1271C2×D79—88no—
1272C2×D79C22×#4112yes—
1273C2×D79C22×#4112yes—
1274C4×C79—22no—
1275C4×C79—24no—
1276C4×C79—22no—
1277C4×C79—21no—
1278C4×C79—22no—
1279C4×C79—22no—
1280C4×C79—21no—
1281C4×C79—22no—
1282C4×C79—22no—
1283C4×C79—21no—
1284C4×C79—22no—
1285C4×C79C22×#4112yes—
1286C4×C79C22×#4112yes—
1287C4×C79#58512yes—
1288Dic79—24no—
1289Dic79—22no—
1290Dic79—21no—
1291Dic79—22no—
1292Dic79—22no—
1293Dic79—22no—
1294Dic79—22no—
1295Dic79—21no—
1296Dic79—21no—
1297Dic79—22no—
1298Dic79—22no—
1299Dic79C22×#4112yes—
1300Dic79C22×#4112yes—
1301Dic79#58512yes—
1302#62815—791nomaximal, Sylow
1303C2×C79—22no—
1304C2×C79—42no—
1305C2×C79—44no—
1306C2×C79C23×#4111yescharacteristic
1307C2×C79C2×#58511yescharacteristic
1308C2×C79C2×#58511yescharacteristic
1309D79—22no—
1310D79—22no—
1311D79—42no—
1312D79—44no—
1313#3512—794no—
1314#3511—792no—
1315#3511—792no—
1316#3510—792no—
1317#3510—792no—
1318#3509—791no—
1319#3509—791no—
1320#3508—791no—
1321#3508—791no—
1322#3507—791no—
1323#3507—791no—
1324#3507—792no—
1325#3506—792no—
1326#3506—791no—
1327#3506—791no—
1328#3505—792no—
1329#3505—794no—
1330#3505—792no—
1331#3480—792no—
1332#3480—791no—
1333#3480—792no—
1334#3480—791no—
1335#3480—791no—
1336#3480D7911yescharacteristic, complemented
1337#3475—794no—
1338#3475—792no—
1339#3475—792no—
1340#3455—794no—
1341#3449—792no—
1342#3444—792no—
1343#3444—792no—
1344C2×#533—791no—
1345C2×#532—791no—
1346#3428—792no—
1347C2×C4×#41—791no—
1348C79#6281511yescharacteristic, complemented, Sylow
1349C22×#41—791no—
1350C22×#41—792no—
1351#559—792no—
1352#559—791no—
1353#559—792no—
1354#559—792no—
1355#559—792no—
1356#559—792no—
1357#559—792no—
1358#559—791no—
1359#559—791no—
1360#559—792no—
1361#559—792no—
1362#559—792no—
1363#559C2×D7912yescomplemented
1364#559C2×D7911yescharacteristic, complemented
1365#557—792no—
1366#557—791no—
1367#557—792no—
1368#557—791no—
1369#557—791no—
1370#557C2×D7911yescharacteristic, complemented
1371#556—791no—
1372#556—792no—
1373#556—794no—
1374#556—792no—
1375#556—792no—
1376#556—792no—
1377#556—792no—
1378#556—792no—
1379#556—792no—
1380#556—792no—
1381#556—792no—
1382#556—791no—
1383#556—792no—
1384#556—791no—
1385#556—792no—
1386#556C2×D7911yescharacteristic, complemented
1387#556C2×D7912yescomplemented
1388#555—794no—
1389#555—792no—
1390#555—792no—
1391#554—792no—
1392#554—794no—
1393#554—792no—
1394#553—794no—
1395#553—794no—
1396#553—794no—
1397#553—794no—
1398#553—794no—
1399#553—794no—
1400#553—792no—
1401#553—794no—
1402#553—792no—
1403#553—794no—
1404#553—794no—
1405#553—794no—
1406#553—794no—
1407#553—794no—
1408#553—792no—
1409#553—794no—
1410#553C2×D7912yescomplemented
1411#553C2×D7914yescomplemented
1412#552—794no—
1413#552—794no—
1414#552—794no—
1415#552—794no—
1416#552—792no—
1417#552—794no—
1418#552—792no—
1419#552—792no—
1420#552—794no—
1421#552—792no—
1422#551—794no—
1423#551—794no—
1424#551—794no—
1425#551—794no—
1426#551—794no—
1427#551—794no—
1428#551—794no—
1429#551—794no—
1430#550—792no—
1431#550—791no—
1432#550—791no—
1433#550—792no—
1434#550—791no—
1435#550C2×D7911yescharacteristic, complemented
1436#548—792no—
1437#548—794no—
1438#548—792no—
1439#548—794no—
1440#548—792no—
1441#548C2×D7912yescomplemented
1442#547—792no—
1443#547—794no—
1444#547—792no—
1445#546—792no—
1446#546—792no—
1447#546—794no—
1448#546—794no—
1449#546—792no—
1450#546—792no—
1451#542—794no—
1452#542—794no—
1453#542—794no—
1454#542—794no—
1455#541—794no—
1456#541—794no—
1457#540—794no—
1458#540—794no—
1459#539—794no—
1460#539—794no—
1461#539—794no—
1462#539—794no—
1463#538—794no—
1464#538—794no—
1465#538—794no—
1466#538—794no—
1467#537—794no—
1468#537—794no—
1469#536—792no—
1470#536—792no—
1471#536—792no—
1472#536—792no—
1473#535—792no—
1474#535—792no—
1475#535—792no—
1476#535—792no—
1477#534—794no—
1478#534—794no—
1479#533—792no—
1480#533—792no—
1481#533—791no—
1482#533—791no—
1483#533—792no—
1484#533—792no—
1485#533—791no—
1486#533—791no—
1487#533—792no—
1488#533—791no—
1489#533—791no—
1490#533—791no—
1491#533—791no—
1492#533—792no—
1493#533—792no—
1494#533—792no—
1495#532—792no—
1496#532—792no—
1497#532—792no—
1498#532—792no—
1499#532—791no—
1500#532—791no—
1501#532—792no—
1502#532—792no—
1503#532—792no—
1504#532—792no—
1505#532—792no—
1506#532—792no—
1507#532—792no—
1508#532—792no—
1509#532—791no—
1510#532—792no—
1511#532C2×D7911yescharacteristic, complemented
1512#532C2×D7912yescomplemented
1513C2×C4⋊Q8—791no—
1514C2×C4⋊Q8—791no—
1515C2×C4⋊Q8—791no—
1516C2×#127—791no—
1517#529—794no—
1518#529—794no—
1519#529—792no—
1520#529—792no—
1521#529—794no—
1522#529—792no—
1523#529—792no—
1524#529—794no—
1525#529—794no—
1526#529—792no—
1527#529—792no—
1528#529—794no—
1529#529—794no—
1530#529—794no—
1531#529—794no—
1532#529—794no—
1533#529—794no—
1534#529—794no—
1535#529—794no—
1536#529—794no—
1537#529—792no—
1538#529—794no—
1539#529C2×D7912yescomplemented
1540#529C2×D7914yescomplemented
1541C2×#125—792no—
1542C2×#124—792no—
1543#525—792no—
1544#525—794no—
1545#525—792no—
1546#525—792no—
1547#525—794no—
1548#525—794no—
1549#525—794no—
1550#525—794no—
1551#525—794no—
1552#525—792no—
1553C2×C22⋊Q8—791no—
1554C2×C22⋊Q8—792no—
1555C2×C22⋊Q8—791no—
1556C2×#121—792no—
1557C2×#121—792no—
1558#520—792no—
1559#520—792no—
1560#520—792no—
1561#520—792no—
1562#520—794no—
1563#520—794no—
1564#519—792no—
1565#519—792no—
1566#518—794no—
1567#518—794no—
1568#518—792no—
1569#518—792no—
1570C4×#41—791no—
1571C4×#41—792no—
1572C4×#41—791no—
1573C4×#41—791no—
1574C4×#41—792no—
1575C4×#41—791no—
1576C4×#41—791no—
1577C4×#41—792no—
1578C4×#41—792no—
1579C4×#41—792no—
1580C4×#41—794no—
1581C4×#41—792no—
1582C4×#41—791no—
1583C4×#41—794no—
1584C4×#41—792no—
1585C4×#41—792no—
1586C4×#41—791no—
1587C4×#41—794no—
1588C4×#41—792no—
1589C4×#41—792no—
1590C4×#41—794no—
1591C4×#41C2×D7911yescharacteristic, complemented
1592C4×#41C2×D7912yescomplemented
1593C4×#41C2×D7912yescomplemented
1594C2×C4×Q8—791no—
1595C2×C4×Q8—791no—
1596C2×C4×Q8—791no—
1597C2×C4×Q8—792no—
1598C2×C4×Q8C2×D7911yescharacteristic, complemented
1599C2×C4×D4—792no—
1600C2×C4×D4—792no—
1601C2×C4×D4—791no—
1602C2×C4×D4—791no—
1603C2×C4×D4—792no—
1604C2×C4×D4—792no—
1605C2×#117—791no—
1606C2×#117—792no—
1607C2×#117—794no—
1608C2×#117—792no—
1609C2×#117—794no—
1610C22×C42—791no—
1611C22×C42—792no—
1612C2×#41—792no—
1613C2×#41—791no—
1614C2×#41—792no—
1615C2×#41—792no—
1616C2×#41—794no—
1617C2×#41—791no—
1618C2×#41—792no—
1619C2×#41—792no—
1620C2×#41—794no—
1621C2×#41—792no—
1622C2×#41—794no—
1623C2×#41—792no—
1624C2×#41—794no—
1625C2×#41—791no—
1626C2×#41—792no—
1627C2×#41—1588no—
1628C2×#41—15816no—
1629C2×#41C22×D7911yescharacteristic
1630C2×#41C22×D7912yes—
1631C2×#41C22×D7912yes—
1632C22×Q8—791no—
1633C22×Q8—792no—
1634C22×Q8—791no—
1635C22×Q8—792no—
1636C22×Q8C22×D7911yescharacteristic
1637C22×D4—792no—
1638C22×D4—792no—
1639C22×D4—792no—
1640C22×D4—791no—
1641C22×D4—794no—
1642C22×D4—792no—
1643C23×C4—791no—
1644C23×C4—791no—
1645C23×C4—792no—
1646C23×C4—792no—
1647C23×C4—791no—
1648C23×C4—794no—
1649C23×C4—792no—
1650C4⋊Q8—791no—
1651C4⋊Q8—791no—
1652C4⋊Q8—792no—
1653C4⋊Q8—792no—
1654C4⋊Q8—791no—
1655C4⋊Q8—791no—
1656C4⋊Q8—792no—
1657C4⋊Q8—792no—
1658C4⋊Q8—792no—
1659C4⋊Q8—792no—
1660C4⋊Q8—791no—
1661C4⋊Q8—791no—
1662C4⋊Q8—792no—
1663C4⋊Q8—792no—
1664C4⋊Q8—792no—
1665C4⋊Q8—791no—
1666C4⋊Q8—791no—
1667C4⋊Q8—791no—
1668C4⋊Q8—792no—
1669C4⋊Q8C22×D7911yescharacteristic
1670C4⋊Q8C22×D7912yes—
1671#127—792no—
1672#127—792no—
1673#127—792no—
1674#127—792no—
1675#127—792no—
1676#127—791no—
1677#127—792no—
1678#127C22×D7911yescharacteristic
1679#127C22×D7912yes—
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—794no—
1689#126—794no—
1690#126—794no—
1691#126—794no—
1692#126—794no—
1693#126—794no—
1694#126—794no—
1695#126—794no—
1696#126—794no—
1697#126—794no—
1698#126—794no—
1699#126—794no—
1700#126—794no—
1701#126C22×D7914yes—
1702#126C22×D7914yes—
1703#126C22×D7914yes—
1704#125—792no—
1705#125—792no—
1706#125—792no—
1707#125—792no—
1708#125—792no—
1709#125—792no—
1710#125—792no—
1711#125—792no—
1712#125—794no—
1713#125—794no—
1714#125—792no—
1715#125—792no—
1716#125—794no—
1717#125—794no—
1718#125—794no—
1719#125—794no—
1720#125—794no—
1721#125—794no—
1722#125—792no—
1723#125—794no—
1724#125C22×D7912yes—
1725#125C22×D7914yes—
1726#124—792no—
1727#124—792no—
1728#124—794no—
1729#124—792no—
1730#124—792no—
1731#124—792no—
1732#124—792no—
1733#124—794no—
1734#124—792no—
1735#124—792no—
1736#124—794no—
1737#124—794no—
1738#124—794no—
1739#124—794no—
1740#124—794no—
1741#124—794no—
1742#124—794no—
1743#124—794no—
1744#124—792no—
1745#124—792no—
1746#124—794no—
1747#124—792no—
1748#124—792no—
1749#124C22×D7912yes—
1750#124C22×D7912yes—
1751#124C22×D7914yes—
1752#124C22×D7912yes—
1753#124C22×D7912yes—
1754#123—794no—
1755#123—794no—
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—794no—
1768#123—794no—
1769#123—794no—
1770#123—794no—
1771#123—794no—
1772#123—794no—
1773#123—794no—
1774#123—794no—
1775#123—794no—
1776#123—794no—
1777#123—794no—
1778#123—794no—
1779#123—794no—
1780#123—794no—
1781#123—794no—
1782#123—794no—
1783#123C22×D7914yes—
1784#123C22×D7914yes—
1785#123C22×D7914yes—
1786C22⋊Q8—791no—
1787C22⋊Q8—791no—
1788C22⋊Q8—792no—
1789C22⋊Q8—791no—
1790C22⋊Q8—791no—
1791C22⋊Q8—792no—
1792C22⋊Q8—792no—
1793C22⋊Q8—794no—
1794C22⋊Q8—792no—
1795C22⋊Q8—794no—
1796C22⋊Q8—792no—
1797C22⋊Q8—792no—
1798C22⋊Q8—791no—
1799C22⋊Q8—791no—
1800C22⋊Q8—792no—
1801C22⋊Q8—792no—
1802C22⋊Q8—792no—
1803C22⋊Q8—792no—
1804C22⋊Q8—792no—
1805C22⋊Q8—791no—
1806C22⋊Q8—791no—
1807C22⋊Q8—792no—
1808C22⋊Q8—792no—
1809C22⋊Q8—792no—
1810C22⋊Q8—794no—
1811C22⋊Q8—794no—
1812C22⋊Q8—794no—
1813C22⋊Q8—792no—
1814C22⋊Q8—794no—
1815C22⋊Q8—794no—
1816C22⋊Q8—794no—
1817C22⋊Q8—794no—
1818C22⋊Q8—794no—
1819C22⋊Q8—794no—
1820C22⋊Q8—794no—
1821C22⋊Q8—794no—
1822C22⋊Q8—794no—
1823C22⋊Q8—794no—
1824C22⋊Q8—794no—
1825C22⋊Q8—794no—
1826C22⋊Q8C22×D7912yes—
1827C22⋊Q8C22×D7914yes—
1828#121—792no—
1829#121—792no—
1830#121—794no—
1831#121—794no—
1832#121—794no—
1833#121—794no—
1834#121—792no—
1835#121—794no—
1836#121—794no—
1837#121—794no—
1838#121—794no—
1839#121—794no—
1840#121—794no—
1841#121—794no—
1842#121—794no—
1843#121—794no—
1844#121—794no—
1845#121—792no—
1846#121—792no—
1847#121—792no—
1848#121—794no—
1849#121—794no—
1850#121—794no—
1851#121—792no—
1852#121—792no—
1853#121—792no—
1854#121—794no—
1855#121—794no—
1856#121—794no—
1857#121—794no—
1858#121—794no—
1859#121—794no—
1860#121—794no—
1861#121—794no—
1862#121—794no—
1863#121—794no—
1864#121C22×D7912yes—
1865#121C22×D7912yes—
1866#121C22×D7912yes—
1867#121C22×D7914yes—
1868#121C22×D7914yes—
1869#121C22×D7914yes—
1870#120—794no—
1871#120—794no—
1872#120—794no—
1873#120—794no—
1874#120—794no—
1875#120—794no—
1876#120—794no—
1877#120—794no—
1878C4×Q8—791no—
1879C4×Q8—791no—
1880C4×Q8—792no—
1881C4×Q8—792no—
1882C4×Q8—792no—
1883C4×Q8—792no—
1884C4×Q8—792no—
1885C4×Q8—791no—
1886C4×Q8—791no—
1887C4×Q8—794no—
1888C4×Q8—794no—
1889C4×Q8—792no—
1890C4×Q8—792no—
1891C4×Q8—794no—
1892C4×Q8—792no—
1893C4×Q8—792no—
1894C4×Q8—792no—
1895C4×Q8—791no—
1896C4×Q8—791no—
1897C4×Q8—792no—
1898C4×Q8—792no—
1899C4×Q8—791no—
1900C4×Q8—791no—
1901C4×Q8—792no—
1902C4×Q8—792no—
1903C4×Q8—792no—
1904C4×Q8—792no—
1905C4×Q8—792no—
1906C4×Q8—791no—
1907C4×Q8—791no—
1908C4×Q8—792no—
1909C4×Q8—792no—
1910C4×Q8—792no—
1911C4×Q8—794no—
1912C4×Q8—794no—
1913C4×Q8—792no—
1914C4×Q8—792no—
1915C4×Q8—794no—
1916C4×Q8—792no—
1917C4×Q8C22×D7911yescharacteristic
1918C4×Q8C22×D7911yescharacteristic
1919C4×Q8C22×D7911yescharacteristic
1920C4×Q8C22×D7911yescharacteristic
1921C4×Q8C22×D7912yes—
1922C4×Q8C22×D7911yescharacteristic
1923C4×Q8C22×D7911yescharacteristic
1924C4×Q8C22×D7912yes—
1925C4×Q8C22×D7912yes—
1926C4×Q8C22×D7912yes—
1927C4×Q8C22×D7912yes—
1928C4×D4—792no—
1929C4×D4—791no—
1930C4×D4—792no—
1931C4×D4—791no—
1932C4×D4—792no—
1933C4×D4—792no—
1934C4×D4—794no—
1935C4×D4—794no—
1936C4×D4—792no—
1937C4×D4—792no—
1938C4×D4—794no—
1939C4×D4—792no—
1940C4×D4—794no—
1941C4×D4—792no—
1942C4×D4—792no—
1943C4×D4—792no—
1944C4×D4—792no—
1945C4×D4—792no—
1946C4×D4—792no—
1947C4×D4—794no—
1948C4×D4—794no—
1949C4×D4—794no—
1950C4×D4—794no—
1951C4×D4—794no—
1952C4×D4—794no—
1953C4×D4—794no—
1954C4×D4—794no—
1955C4×D4—794no—
1956C4×D4—794no—
1957C4×D4—794no—
1958C4×D4—794no—
1959C4×D4—794no—
1960C4×D4—794no—
1961C4×D4—792no—
1962C4×D4—791no—
1963C4×D4—792no—
1964C4×D4—791no—
1965C4×D4—792no—
1966C4×D4—792no—
1967C4×D4—794no—
1968C4×D4—794no—
1969C4×D4—792no—
1970C4×D4—792no—
1971C4×D4—794no—
1972C4×D4—792no—
1973C4×D4—792no—
1974C4×D4—792no—
1975C4×D4—792no—
1976C4×D4—792no—
1977C4×D4—792no—
1978C4×D4—792no—
1979C4×D4—794no—
1980C4×D4—794no—
1981C4×D4—794no—
1982C4×D4—794no—
1983C4×D4—794no—
1984C4×D4—794no—
1985C4×D4—794no—
1986C4×D4—794no—
1987C4×D4—794no—
1988C4×D4—794no—
1989C4×D4—794no—
1990C4×D4—792no—
1991C4×D4—792no—
1992C4×D4—791no—
1993C4×D4—792no—
1994C4×D4—791no—
1995C4×D4—792no—
1996C4×D4—794no—
1997C4×D4—794no—
1998C4×D4—792no—
1999C4×D4—792no—
2000C4×D4—794no—
2001C4×D4—794no—
2002C4×D4—794no—
2003C4×D4—792no—
2004C4×D4C22×D7912yes—
2005C4×D4C22×D7912yes—
2006C4×D4C22×D7911yescharacteristic
2007C4×D4C22×D7912yes—
2008C4×D4C22×D7911yescharacteristic
2009C4×D4C22×D7912yes—
2010C4×D4C22×D7914yes—
2011C4×D4C22×D7914yes—
2012C4×D4C22×D7914yes—
2013C4×D4C22×D7912yes—
2014C4×D4C22×D7912yes—
2015C4×D4C22×D7914yes—
2016C4×D4C22×D7914yes—
2017C4×D4C22×D7912yes—
2018#117—791no—
2019#117—792no—
2020#117—794no—
2021#117—792no—
2022#117—794no—
2023#117—791no—
2024#117—791no—
2025#117—792no—
2026#117—792no—
2027#117—794no—
2028#117—794no—
2029#117—792no—
2030#117—792no—
2031#117—794no—
2032#117—794no—
2033#117—792no—
2034#117—792no—
2035#117—792no—
2036#117—794no—
2037#117—794no—
2038#117—794no—
2039#117—794no—
2040#117—794no—
2041#117—792no—
2042#117—792no—
2043#117—792no—
2044#117—792no—
2045#117—792no—
2046#117—792no—
2047#117—794no—
2048#117—792no—
2049#117—794no—
2050#117—792no—
2051#117—792no—
2052#117—794no—
2053#117—794no—
2054#117—792no—
2055#117—792no—
2056#117—794no—
2057#117—794no—
2058#117—794no—
2059#117—794no—
2060#117—794no—
2061#117C22×D7911yescharacteristic
2062#117C22×D7912yes—
2063#117C22×D7914yes—
2064#117C22×D7912yes—
2065#117C22×D7914yes—
2066C2×C4⋊C4—792no—
2067C2×C4⋊C4—792no—
2068C2×C4⋊C4—794no—
2069C2×C4⋊C4—794no—
2070C2×C4⋊C4—792no—
2071C2×C4⋊C4—792no—
2072C2×C4⋊C4—792no—
2073C2×C4⋊C4—792no—
2074C2×C4⋊C4—791no—
2075C2×C4⋊C4—791no—
2076C2×C4⋊C4—791no—
2077C2×C4⋊C4—792no—
2078C2×C4⋊C4—792no—
2079C2×C4⋊C4—794no—
2080C2×C4⋊C4—794no—
2081C2×C4⋊C4—792no—
2082C2×C4⋊C4—792no—
2083C2×C4⋊C4C22×D7912yes—
2084C2×C4⋊C4C22×D7911yescharacteristic
2085C2×C22⋊C4—792no—
2086C2×C22⋊C4—792no—
2087C2×C22⋊C4—794no—
2088C2×C22⋊C4—794no—
2089C2×C22⋊C4—792no—
2090C2×C22⋊C4—792no—
2091C2×C22⋊C4—792no—
2092C2×C22⋊C4—794no—
2093C2×C22⋊C4—794no—
2094C2×C22⋊C4—794no—
2095C2×C22⋊C4—794no—
2096C2×C42—792no—
2097C2×C42—794no—
2098C2×C42—791no—
2099C2×C42—792no—
2100C2×C42—791no—
2101C2×C42—792no—
2102C2×C42—791no—
2103C2×C42—792no—
2104C2×C42—792no—
2105C2×C42—791no—
2106C2×C42—794no—
2107C2×C42—794no—
2108C2×C42—791no—
2109C2×C42—791no—
2110C2×C42—792no—
2111C2×C42—792no—
2112C2×C42—791no—
2113C2×C42—791no—
2114C2×C42—792no—
2115C2×C42—792no—
2116C2×C42—791no—
2117C2×C42—792no—
2118C2×C42—791no—
2119C2×C42—792no—
2120C2×C42—791no—
2121C2×C42C22×D7912yes—
2122C2×C42C22×D7914yes—
2123C2×C42C22×D7911yescharacteristic
2124C2×C42C22×D7912yes—
2125C24—791no—
2126C24—794no—
2127C24—792no—
2128#41—24no—
2129#41—28no—
2130#41—44no—
2131#41—3164no—
2132#41—3168no—
2133#41—3164no—
2134#41—3168no—
2135#41—3164no—
2136#41—1588no—
2137#41—15816no—
2138#41—1588no—
2139#41—15816no—
2140#41—1584no—
2141#41—1588no—
2142#41—1584no—
2143#41—1588no—
2144#41—1584no—
2145#41—1588no—
2146C2×Q8—42no—
2147C2×Q8—3162no—
2148C2×Q8—3164no—
2149C2×Q8—792no—
2150C2×Q8—792no—
2151C2×Q8—792no—
2152C2×Q8—792no—
2153C2×Q8—792no—
2154C2×Q8—794no—
2155C2×Q8—792no—
2156C2×Q8—791no—
2157C2×Q8—791no—
2158C2×Q8—791no—
2159C2×Q8—792no—
2160C2×Q8—1588no—
2161C2×Q8—1584no—
2162C2×Q8C23×D7911yescharacteristic
2163C2×Q8C23×D7911yescharacteristic
2164C2×Q8C23×D7912yes—
2165C2×Q8C23×D7911yescharacteristic
2166C2×Q8C23×D7912yes—
2167C2×D4—3164no—
2168C2×D4—3164no—
2169C2×D4—794no—
2170C2×D4—794no—
2171C2×D4—794no—
2172C2×D4—794no—
2173C2×D4—794no—
2174C2×D4—792no—
2175C2×D4—794no—
2176C2×D4—792no—
2177C2×D4—792no—
2178C2×D4—794no—
2179C2×D4—794no—
2180C2×D4—794no—
2181C2×D4—794no—
2182C2×D4—794no—
2183C2×D4—792no—
2184C2×D4—792no—
2185C2×D4—794no—
2186C2×D4—792no—
2187C2×D4—791no—
2188C2×D4—792no—
2189C2×D4—1588no—
2190C2×D4—1584no—
2191C2×D4—1588no—
2192C2×D4—15816no—
2193C2×D4C23×D7912yes—
2194C2×D4C23×D7914yes—
2195C2×D4C23×D7912yes—
2196C2×D4C23×D7911yescharacteristic
2197C2×D4C23×D7912yes—
2198C2×D4C23×D7914yes—
2199C2×D4C23×D7912yes—
2200C2×D4C23×D7914yes—
2201C22×C4—3162no—
2202C22×C4—3164no—
2203C22×C4—3162no—
2204C22×C4—3164no—
2205C22×C4—791no—
2206C22×C4—792no—
2207C22×C4—792no—
2208C22×C4—792no—
2209C22×C4—794no—
2210C22×C4—794no—
2211C22×C4—791no—
2212C22×C4—791no—
2213C22×C4—792no—
2214C22×C4—792no—
2215C22×C4—791no—
2216C22×C4—791no—
2217C22×C4—792no—
2218C22×C4—792no—
2219C22×C4—794no—
2220C22×C4—794no—
2221C22×C4—794no—
2222C22×C4—794no—
2223C22×C4—791no—
2224C22×C4—798no—
2225C22×C4—791no—
2226C22×C4—791no—
2227C22×C4—791no—
2228C22×C4—791no—
2229C22×C4—791no—
2230C22×C4—792no—
2231C22×C4—792no—
2232C22×C4—794no—
2233C22×C4—791no—
2234C22×C4—791no—
2235C22×C4—791no—
2236C22×C4—791no—
2237C22×C4—792no—
2238C22×C4—792no—
2239C22×C4—792no—
2240C22×C4—792no—
2241C22×C4—794no—
2242C22×C4—794no—
2243C22×C4—794no—
2244C22×C4—792no—
2245C22×C4—15816no—
2246C22×C4—1588no—
2247C22×C4C23×D7911yescharacteristic
2248C22×C4C23×D7912yes—
2249C22×C4C23×D7914yes—
2250C22×C4C23×D7912yes—
2251C22×C4C23×D7911yescharacteristic
2252C22×C4C23×D7912yes—
2253C22×C4C23×D7912yes—
2254C22×C4C23×D7912yes—
2255C22×C4C23×D7914yes—
2256C22×C4C23×D7914yes—
2257C22×C4C23×D7911yescharacteristic
2258C4⋊C4—792no—
2259C4⋊C4—792no—
2260C4⋊C4—792no—
2261C4⋊C4—792no—
2262C4⋊C4—792no—
2263C4⋊C4—792no—
2264C4⋊C4—792no—
2265C4⋊C4—794no—
2266C4⋊C4—792no—
2267C4⋊C4—792no—
2268C4⋊C4—792no—
2269C4⋊C4—792no—
2270C4⋊C4—792no—
2271C4⋊C4—792no—
2272C4⋊C4—792no—
2273C4⋊C4—792no—
2274C4⋊C4—794no—
2275C4⋊C4—792no—
2276C4⋊C4—794no—
2277C4⋊C4—792no—
2278C4⋊C4—794no—
2279C4⋊C4—794no—
2280C4⋊C4—792no—
2281C4⋊C4—792no—
2282C4⋊C4—792no—
2283C4⋊C4—794no—
2284C4⋊C4—792no—
2285C4⋊C4—792no—
2286C4⋊C4—792no—
2287C4⋊C4—792no—
2288C4⋊C4—792no—
2289C4⋊C4—792no—
2290C4⋊C4—794no—
2291C4⋊C4—794no—
2292C4⋊C4—794no—
2293C4⋊C4—794no—
2294C4⋊C4—791no—
2295C4⋊C4—791no—
2296C4⋊C4—792no—
2297C4⋊C4—791no—
2298C4⋊C4—791no—
2299C4⋊C4—792no—
2300C4⋊C4—792no—
2301C4⋊C4—794no—
2302C4⋊C4—794no—
2303C4⋊C4—792no—
2304C4⋊C4—792no—
2305C4⋊C4—792no—
2306C4⋊C4—792no—
2307C4⋊C4—792no—
2308C4⋊C4—792no—
2309C4⋊C4—794no—
2310C4⋊C4—794no—
2311C4⋊C4C23×D7911yescharacteristic
2312C4⋊C4C23×D7911yescharacteristic
2313C4⋊C4C23×D7912yes—
2314C4⋊C4C23×D7912yes—
2315C4⋊C4C23×D7914yes—
2316C4⋊C4C23×D7914yes—
2317C4⋊C4C23×D7912yes—
2318C4⋊C4C23×D7912yes—
2319C4⋊C4C23×D7911yescharacteristic
2320C4⋊C4C23×D7912yes—
2321C4⋊C4C23×D7911yescharacteristic
2322C4⋊C4C23×D7912yes—
2323C4⋊C4C23×D7912yes—
2324C4⋊C4C23×D7912yes—
2325C4⋊C4C23×D7912yes—
2326C4⋊C4C23×D7914yes—
2327C4⋊C4C23×D7914yes—
2328C22⋊C4—792no—
2329C22⋊C4—792no—
2330C22⋊C4—794no—
2331C22⋊C4—794no—
2332C22⋊C4—794no—
2333C22⋊C4—792no—
2334C22⋊C4—794no—
2335C22⋊C4—794no—
2336C22⋊C4—794no—
2337C22⋊C4—794no—
2338C22⋊C4—794no—
2339C22⋊C4—792no—
2340C22⋊C4—792no—
2341C22⋊C4—792no—
2342C22⋊C4—792no—
2343C22⋊C4—792no—
2344C22⋊C4—792no—
2345C22⋊C4—792no—
2346C22⋊C4—792no—
2347C22⋊C4—792no—
2348C22⋊C4—792no—
2349C22⋊C4—792no—
2350C22⋊C4—792no—
2351C22⋊C4—794no—
2352C22⋊C4—794no—
2353C22⋊C4—794no—
2354C22⋊C4—794no—
2355C22⋊C4—794no—
2356C22⋊C4—794no—
2357C22⋊C4—792no—
2358C22⋊C4—792no—
2359C22⋊C4—794no—
2360C22⋊C4—794no—
2361C22⋊C4—794no—
2362C22⋊C4—794no—
2363C22⋊C4—794no—
2364C22⋊C4—794no—
2365C22⋊C4—794no—
2366C22⋊C4—794no—
2367C22⋊C4—794no—
2368C22⋊C4—794no—
2369C22⋊C4C23×D7912yes—
2370C22⋊C4C23×D7912yes—
2371C22⋊C4C23×D7914yes—
2372C22⋊C4C23×D7914yes—
2373C22⋊C4C23×D7914yes—
2374C22⋊C4C23×D7912yes—
2375C22⋊C4C23×D7914yes—
2376C22⋊C4C23×D7914yes—
2377C22⋊C4C23×D7914yes—
2378C22⋊C4C23×D7914yes—
2379C22⋊C4C23×D7914yes—
2380C42—791no—
2381C42—791no—
2382C42—792no—
2383C42—792no—
2384C42—792no—
2385C42—792no—
2386C42—792no—
2387C42—791no—
2388C42—791no—
2389C42—791no—
2390C42—791no—
2391C42—791no—
2392C42—791no—
2393C42—792no—
2394C42—792no—
2395C42—792no—
2396C42—791no—
2397C42—791no—
2398C42—794no—
2399C42—794no—
2400C42—794no—
2401C42—794no—
2402C42—794no—
2403C42—794no—
2404C42—792no—
2405C42—792no—
2406C42—792no—
2407C42—791no—
2408C42—791no—
2409C42—792no—
2410C42—792no—
2411C42C23×D7912yes—
2412C42C23×D7912yes—
2413C42C23×D7911yescharacteristic
2414C42C23×D7911yescharacteristic
2415C42C23×D7914yes—
2416C42C23×D7914yes—
2417C42C23×D7912yes—
2418C42C23×D7912yes—
2419C42C23×D7912yes—
2420C42C23×D7911yescharacteristic
2421C42C23×D7911yescharacteristic
2422C42C23×D7912yes—
2423C42C23×D7912yes—
2424C23—3161no—
2425C23—3161no—
2426C23—3162no—
2427C23—3162no—
2428C23—3164no—
2429C23—3164no—
2430C23—794no—
2431C23—791no—
2432C23—791no—
2433C23—794no—
2434C23—792no—
2435C23—1584no—
2436C23—1588no—
2437C23C24×D7914yes—
2438C23C24×D7912yes—
2439C23C24×D7911yescharacteristic
2440Q8—22no—
2441Q8—22no—
2442Q8—24no—
2443Q8—22no—
2444Q8—42no—
2445Q8—3162no—
2446Q8—3162no—
2447Q8—3162no—
2448Q8—1584no—
2449Q8—1584no—
2450Q8—1584no—
2451Q8—1588no—
2452Q8—1582no—
2453Q8—1582no—
2454Q8—1582no—
2455Q8—1584no—
2456D4—24no—
2457D4—28no—
2458D4—24no—
2459D4—22no—
2460D4—24no—
2461D4—42no—
2462D4—44no—
2463D4—44no—
2464D4—3162no—
2465D4—3164no—
2466D4—3164no—
2467D4—3164no—
2468D4—3164no—
2469D4—3164no—
2470D4—3164no—
2471D4—3164no—
2472D4—1584no—
2473D4—1588no—
2474D4—1588no—
2475D4—1584no—
2476D4—1588no—
2477D4—1584no—
2478D4—1588no—
2479D4—1584no—
2480D4—1588no—
2481D4—1584no—
2482D4—1582no—
2483D4—1584no—
2484C2×C4—22no—
2485C2×C4—24no—
2486C2×C4—24no—
2487C2×C4—28no—
2488C2×C4—42no—
2489C2×C4—41no—
2490C2×C4—42no—
2491C2×C4—42no—
2492C2×C4—44no—
2493C2×C4—44no—
2494C2×C4—3162no—
2495C2×C4—3162no—
2496C2×C4—3161no—
2497C2×C4—3161no—
2498C2×C4—3162no—
2499C2×C4—3162no—
2500C2×C4—3161no—
2501C2×C4—3161no—
2502C2×C4—3164no—
2503C2×C4—3164no—
2504C2×C4—3164no—
2505C2×C4—3164no—
2506C2×C4—3162no—
2507C2×C4—3161no—
2508C2×C4—3162no—
2509C2×C4—3162no—
2510C2×C4—3164no—
2511C2×C4—3164no—
2512C2×C4—791no—
2513C2×C4—791no—
2514C2×C4—791no—
2515C2×C4—794no—
2516C2×C4—794no—
2517C2×C4—794no—
2518C2×C4—794no—
2519C2×C4—794no—
2520C2×C4—792no—
2521C2×C4—791no—
2522C2×C4—792no—
2523C2×C4—791no—
2524C2×C4—792no—
2525C2×C4—794no—
2526C2×C4—792no—
2527C2×C4—792no—
2528C2×C4—792no—
2529C2×C4—792no—
2530C2×C4—791no—
2531C2×C4—1582no—
2532C2×C4—1582no—
2533C2×C4—1584no—
2534C2×C4—1588no—
2535C2×C4—1584no—
2536C2×C4—1588no—
2537C2×C4—1584no—
2538C2×C4—1582no—
2539C2×C4—1584no—
2540C2×C4—1588no—
2541C2×C4—1584no—
2542C2×C4—1582no—
2543C2×C4—1582no—
2544C2×C4—1584no—
2545C2×C4—1584no—
2546C2×C4—1588no—
2547C2×C4#41×D7914yes—
2548C2×C4C24×D7911yescharacteristic
2549C2×C4C24×D7912yes—
2550C2×C4C24×D7912yes—
2551C2×C4C24×D7911yescharacteristic
2552C2×C4C24×D7912yes—
2553C2×C4C24×D7912yes—
2554C2×C4C24×D7914yes—
2555C2×C4C24×D7912yes—
2556C2×C4C24×D7911yescharacteristic
2557C2×C4C24×D7912yes—
2558C2×C4C24×D7912yes—
2559C2×C4C24×D7911yescharacteristic
2560C2×C4C24×D7911yescharacteristic
2561C2×C4C24×D7911yescharacteristic
2562C22—21no—
2563C22—21no—
2564C22—22no—
2565C22—24no—
2566C22—24no—
2567C22—22no—
2568C22—22no—
2569C22—24no—
2570C22—3164no—
2571C22—3168no—
2572C22—792no—
2573C22—792no—
2574C22—6328no—
2575C22—1582no—
2576C22—1584no—
2577C22—1584no—
2578C22—1582no—
2579C22—1584no—
2580C22—1582no—
2581C22—1581no—
2582C22—1581no—
2583C22—1581no—
2584C22—1581no—
2585C22C2×#41×D7912yes—
2586C22C25×D7911yescharacteristic
2587C4—24no—
2588C4—22no—
2589C4—21no—
2590C4—22no—
2591C4—22no—
2592C4—22no—
2593C4—21no—
2594C4—22no—
2595C4—21no—
2596C4—22no—
2597C4—22no—
2598C4—792no—
2599C4—792no—
2600C4—792no—
2601C4—1582no—
2602C4—1584no—
2603C4—1582no—
2604C4—1582no—
2605C4—1582no—
2606C4—1581no—
2607C4—1581no—
2608C4—1582no—
2609C4—1582no—
2610C4—1582no—
2611C4—1581no—
2612C4C2×#41×D7912yes—
2613C4C2×#41×D7912yes—
2614C4#1909939912yes—
2615C2—22no—
2616C2—42no—
2617C2—44no—
2618C2—3162no—
2619C2—3164no—
2620C2—1582no—
2621C2—1582no—
2622C2C22×#41×D7911yescharacteristic
2623C2#585×D7911yescharacteristic
2624C2C2×#1909939911yescharacteristic
subgroupG/H
centerC2×C4C24×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC79×#3480C2
hypercenter#3480D79
hypocenterC79#62815
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ #3480

Complements

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

NH ≅ G/Ntype
1. #23777316C2semidirect
2. #23777306C2semidirect
3. #23777302C2semidirect
4. #23777293C2semidirect
5. #23777290C2semidirect
6. #23777283C2semidirect
7. #23777280C2semidirect
8. #23777273C2semidirect
9. #23777270C2semidirect
10. #23777266C2semidirect
11. #23777261C2semidirect
12. #23777257C2semidirect
13. #23777253C2semidirect
14. #23777248C2semidirect
15. #23777244C2semidirect
16. #23777236C2semidirect
17. #23777233C2semidirect
18. #23777229C2semidirect
19. #23776997C2semidirect
20. #23776997C2semidirect
21. #23776995C2semidirect
22. #23776993C2semidirect
23. #23776993C2semidirect
24. #23776962C2semidirect
25. #23776956C2semidirect
26. #23776952C2semidirect
27. #23776783C2semidirect
28. #23776727C2semidirect
29. #23776694C2semidirect
30. #23776693C2semidirect
31. C2×#19099117C2semidirect
32. #532×D79C2semidirect
33. #23776599C2semidirect
34. C4×#41×D79C2semidirect
35. C79×#3480C2semidirect
38. #19099299C22semidirect
39. #19099299C22semidirect
40. #19099298C22semidirect
41. #19099298C22semidirect
42. #19099298C22semidirect
43. #19099298C22semidirect
44. #19099296C22semidirect
45. #19099296C22semidirect
46. #19099296C22semidirect
47. #19099295C22semidirect
48. #19099295C22semidirect
49. #19099295C22semidirect
50. #19099292C22semidirect
51. #19099291C22semidirect
52. #19099291C22semidirect
53. #19099288C22semidirect
54. #19099288C22semidirect
55. #19099287C22semidirect
56. #19099287C22semidirect
57. #19099286C22semidirect
58. #19099286C22semidirect
59. #19099285C22semidirect
60. #19099285C22semidirect
61. #19099285C22semidirect
62. #19099285C22semidirect
63. #19099283C22semidirect
64. #19099283C22semidirect
65. #19099282C22semidirect
66. #19099282C22semidirect
67. #19099282C22semidirect
68. #19099282C22semidirect
69. #19099280C22semidirect
70. #19099277C22semidirect
71. #19099276C22semidirect
72. #19099275C22semidirect
73. #19099272C22semidirect
74. #19099269C22semidirect
75. #19099267C22semidirect
76. #19099265C22semidirect
77. #19099265C22semidirect
78. #19099264C22semidirect
79. #19099262C22semidirect
80. #19099262C22semidirect
81. #19099262C22semidirect
82. #19099262C22semidirect
83. #19099261C22semidirect
84. #19099261C22semidirect
85. #19099259C22semidirect
86. #19099259C22semidirect
87. #19099258C22semidirect
88. #19099256C22semidirect
89. #19099256C22semidirect
90. #19099256C22semidirect
91. #19099256C22semidirect
92. #19099254C22semidirect
93. #19099252C22semidirect
94. #19099251C22semidirect
95. #19099250C22semidirect
96. #19099249C22semidirect
97. #19099249C22semidirect
98. #19099247C22semidirect
99. #19099246C22semidirect
100. #19099245C22semidirect
101. #19099245C22semidirect
102. #19099243C22semidirect
103. #19099242C22semidirect
104. #19099241C22semidirect
105. #19099240C22semidirect
106. #19099238C22semidirect
107. #19099238C22semidirect
108. #19099237C22semidirect
109. #19099236C22semidirect
110. #19099235C22semidirect
111. #19099234C22semidirect
112. #19099234C22semidirect
113. #19099233C22semidirect
114. #19099233C22semidirect
115. #19099224C22semidirect
116. #19099222C22semidirect
117. #19099222C22semidirect
118. #19099219C22semidirect
119. #19099219C22semidirect
120. #19099215C22semidirect
121. #19099212C22semidirect
122. #19099211C22semidirect
123. #19099210C22semidirect
124. #19099208C22semidirect
125. #19099206C22semidirect
126. #19099205C22semidirect
127. #19099202C22semidirect
128. #19099201C22semidirect
129. #19099183C22semidirect
130. #19099181C22semidirect
131. #19099179C22semidirect
132. #19099177C22semidirect
133. #19099172C22semidirect
134. #19099170C22semidirect
135. #19099165C22semidirect
136. #19099163C22semidirect
137. #19099161C22semidirect
138. #19099159C22semidirect
139. #19099156C22semidirect
140. #19099154C22semidirect
141. #19099152C22semidirect
142. #19099149C22semidirect
143. #19099147C22semidirect
144. #19099145C22semidirect
145. #19099140C22semidirect
146. #19099140C22semidirect
148. #19099138C22semidirect
150. #19099133C22semidirect
152. #19099131C22semidirect
154. #19099126C22semidirect
157. #19099119C22semidirect
158. #19099117C22semidirect
159. #19099117C22semidirect
160. #19099117C22semidirect
161. #19099117C22semidirect
162. #19099117C22semidirect
163. #19099117C22semidirect
164. #19099117C22semidirect
165. #19099117C22semidirect
166. #19099117C22semidirect
167. #19099117C22semidirect
168. #19099117C22semidirect
169. #19099117C22semidirect
170. #19099117C22semidirect
171. #19099116C22semidirect
172. #19099115C22semidirect
174. #19099113C22semidirect
175. #19099113C22semidirect
177. #19099112C22semidirect
181. #19099110C22semidirect
182. #19099109C22semidirect
183. #19099109C22semidirect
184. #19099109C22semidirect
185. #19099109C22semidirect
186. #19099108C22semidirect
187. #19099108C22semidirect
188. #19099108C22semidirect
189. C2×#14579160C22semidirect
190. C2×#14579159C22semidirect
191. C4⋊Q8×D79C22semidirect
192. #127×D79C22semidirect
193. #19099100C22semidirect
194. #19099100C22semidirect
195. #19099100C22semidirect
196. #19099098C22semidirect
197. #19099097C22semidirect
198. #19099097C22semidirect
199. #19099096C22semidirect
200. #19099096C22semidirect
201. #19099095C22semidirect
202. #19099095C22semidirect
203. #19099095C22semidirect
204. #19099093C22semidirect
205. #19099093C22semidirect
206. #19099093C22semidirect
207. #19099093C22semidirect
208. #19099092C22semidirect
209. #19099091C22semidirect
210. #19099091C22semidirect
211. #19099091C22semidirect
212. #19099091C22semidirect
213. #19099091C22semidirect
214. #19099090C22semidirect
215. C2×#14579151C22semidirect
216. #124×D79C22semidirect
217. #19099076C22semidirect
218. #19099075C22semidirect
219. #19099073C22semidirect
222. #19099072C22semidirect
223. #19099072C22semidirect
224. #19099072C22semidirect
225. #19099071C22semidirect
226. #19099070C22semidirect
232. #19099045C22semidirect
233. #19099045C22semidirect
234. #19099042C22semidirect
235. #19099042C22semidirect
236. #19099042C22semidirect
237. #19099042C22semidirect
238. #19099039C22semidirect
239. #19099039C22semidirect
242. #19099035C22semidirect
243. #19099035C22semidirect
244. #41×Dic79C22semidirect
245. #41×Dic79C22semidirect
248. C4×#11929625C22semidirect
250. C4×#11929624C22semidirect
251. C4×#11929624C22semidirect
252. C4×#11929624C22semidirect
253. C4×#11929624C22semidirect
254. C4×#11929624C22semidirect
256. #19099031C22semidirect
257. #19099031C22semidirect
258. #19099031C22semidirect
261. C4×#11929623C22semidirect
262. C4×#11929623C22semidirect
263. C4×#11929623C22semidirect
264. C4×#11929623C22semidirect
265. C2×C4×Dic158C22semidirect
266. C2×C4×Dic158C22semidirect
267. C4×Q8×D79C22semidirect
268. C4×Q8×D79C22semidirect
271. C4×D4×D79C22semidirect
272. C4×D4×D79C22semidirect
273. C4×D4×D79C22semidirect
274. C4×D4×D79C22semidirect
276. C2×#14579118C22semidirect
278. #117×D79C22semidirect
279. #117×D79C22semidirect
281. C2×C42×D79C22semidirect
282. #559×C79C22semidirect
283. #559×C79C22semidirect
284. #557×C79C22semidirect
285. #556×C79C22semidirect
286. #556×C79C22semidirect
287. #553×C79C22semidirect
288. #553×C79C22semidirect
289. #550×C79C22semidirect
290. #548×C79C22semidirect
291. #532×C79C22semidirect
292. #532×C79C22semidirect
293. #529×C79C22semidirect
294. #529×C79C22semidirect
295. C4×#41×C79C22semidirect
296. C4×#41×C79C22semidirect
297. C4×#41×C79C22semidirect
298. C2×C4×Q8×C79C22semidirect
888. C2×C4×D79#41semidirect
1336. #3480D79semidirect
1348. C79#62815semidirect
1363. #559C2×D79semidirect
1364. #559C2×D79semidirect
1370. #557C2×D79semidirect
1386. #556C2×D79semidirect
1387. #556C2×D79semidirect
1410. #553C2×D79semidirect
1411. #553C2×D79semidirect
1435. #550C2×D79semidirect
1441. #548C2×D79semidirect
1511. #532C2×D79semidirect
1512. #532C2×D79semidirect
1539. #529C2×D79semidirect
1540. #529C2×D79semidirect
1591. C4×#41C2×D79semidirect
1592. C4×#41C2×D79semidirect
1593. C4×#41C2×D79semidirect
1598. C2×C4×Q8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237773162
#237773062
#237773022
#237772932
#237772902
#237772832
#237772802
#237772732
#237772702
#237772662
#237772612
#237772572
#237772532
#237772482
#237772442
#237772362
#237772332
#237772292
#237769972
#237769952
#237769932
#237769622
#237769562
#237769522
#237767832
#237767272
#237766942
#237766932
C2×#190991172
#532×D792
#237765992
C4×#41×D792
C79×#34802
#6281579