Finite Group Databasebeta

← #35197427

Subgroups — #35197427

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#23777504C212yesmaximal, complemented
2#23777482C212yesmaximal, complemented
3#23777467C212yesmaximal, complemented
4#23777461C214yesmaximal, complemented
5#23777448C212yesmaximal, complemented
6#23777438C214yesmaximal, complemented
7#23777414C212yesmaximal, complemented
8#23777388C212yesmaximal, complemented
9#23777360C212yesmaximal, complemented
10#23777350C214yesmaximal, complemented
11#23777339C212yesmaximal, complemented
12#23777327C214yesmaximal, complemented
13#23777311C211yesmaximal, characteristic, complemented
14#23777305C212yesmaximal, complemented
15#23777292C212yesmaximal, complemented
16#23777212C211yesmaximal, characteristic, complemented
17#23777190C211yesmaximal, characteristic, complemented
18#23777142C211yesmaximal, characteristic, complemented
19#23777140C212yesmaximal, complemented
20#23777125C211yesmaximal, characteristic, complemented
21#23777123C212yesmaximal, complemented
22#23777078C211yesmaximal, characteristic, complemented
23#23777067C211yesmaximal, characteristic, complemented
24#23776825C212yesmaximal, complemented
25#23776824C211yesmaximal, characteristic, complemented
26#23776821C212yesmaximal, complemented
27#23776813C211yesmaximal, characteristic, complemented
28#23776792C211yesmaximal, characteristic, complemented
29#23776787C212yesmaximal, complemented
30C2×#19099182C211yesmaximal, characteristic, complemented
31#542×D79C212yesmaximal, complemented
32#23776609C211yesmaximal, characteristic, complemented
33#23776604C211yesmaximal, characteristic, complemented
34#23776599C211yesmaximal, characteristic, complemented
35C79×#3510C211yesmaximal, characteristic, complemented
36C2×#14579209C2211yescharacteristic
37C2×#14579206C2211yescharacteristic
38C2×#41×D79C2211yescharacteristic
39#19099297C2214yescomplemented
40#19099295C2214yescomplemented
41Q8×Dic158C2212yescomplemented
42#19099291C2212yescomplemented
43#19099286C2212yescomplemented
44#19099286C2212yescomplemented
45#19099284C2214yescomplemented
46#19099280C2214yescomplemented
47#19099280C2214yescomplemented
48#19099280C2214yescomplemented
49#19099278C2212yescomplemented
50#19099278C2212yescomplemented
51#19099276C2214yescomplemented
52#19099275C2214yescomplemented
53#19099273C2212yescomplemented
54#19099273C2212yescomplemented
55#19099273C2212yescomplemented
56#19099272C2214yescomplemented
57#19099271C2214yescomplemented
58#19099267C2214yescomplemented
59#19099264C2214yescomplemented
60#19099264C2214yescomplemented
61#19099263C2212yescomplemented
62#19099263C2212yescomplemented
63#19099262C2214yescomplemented
64#19099259C2214yescomplemented
65#19099258C2214yescomplemented
66#19099254C2212yescomplemented
67#19099254C2212yescomplemented
68#19099252C2214yescomplemented
69#19099250C2214yescomplemented
70#19099249C2214yescomplemented
71#19099246C2214yescomplemented
72#19099246C2214yescomplemented
73#19099243C2214yescomplemented
74#19099242C2214yescomplemented
75#19099240C2214yescomplemented
76#19099239C2214yescomplemented
77#19099238C2214yescomplemented
78#19099238C2214yescomplemented
79#19099237C2214yescomplemented
80#19099237C2214yescomplemented
81#19099236C2214yescomplemented
82#19099236C2214yescomplemented
83#19099233C2212yes—
84Q8×D316C2212yescomplemented
85#19099228C2212yescomplemented
86#19099226C2214yescomplemented
87#19099223C2214yescomplemented
88#19099222C2214yescomplemented
89#19099221C2212yes—
90#19099221C2214yescomplemented
91#19099221C2212yescomplemented
92#19099221C2212yescomplemented
93#19099221C2212yescomplemented
94#19099218C2212yescomplemented
95#19099218C2212yescomplemented
96#19099216C2212yescomplemented
97#19099211C2214yescomplemented
98#19099211C2214yescomplemented
99#19099211C2214yescomplemented
100#19099208C2214yescomplemented
101#19099206C2212yes—
102#19099206C2212yescomplemented
103#19099206C2212yescomplemented
104#19099206C2212yescomplemented
105#19099205C2214yescomplemented
106#19099205C2214yescomplemented
107#19099203C2214yescomplemented
108#19099203C2214yescomplemented
109#19099203C2214yescomplemented
110#19099200C2214yes—
111#19099198C2212yes—
112#19099195C2214yes—
113#19099193C2212yescomplemented
114#19099193C2212yescomplemented
115#19099191C2211yescharacteristic, complemented
116#19099191C2211yescharacteristic, complemented
117#19099187C2211yescharacteristic, complemented
118#19099187C2211yescharacteristic, complemented
119#19099187C2211yescharacteristic, complemented
120#19099187C2211yescharacteristic, complemented
121#19099186C2212yescomplemented
122#19099185C2212yescomplemented
123#19099184C2212yescomplemented
124#19099184C2212yescomplemented
125#19099183C2214yescomplemented
126#19099182C2212yescomplemented
127#19099182C2212yescomplemented
128#19099182C2212yescomplemented
129#19099182C2212yescomplemented
130#19099182C2212yescomplemented
131#19099182C2212yescomplemented
132#19099182C2212yescomplemented
133#19099182C2212yescomplemented
134#19099182C2212yescomplemented
135#19099182C2212yescomplemented
136#19099181C2214yescomplemented
137#19099181C2214yescomplemented
138#19099180C2212yescomplemented
139#19099179C2214yescomplemented
140#19099179C2214yescomplemented
141#19099178C2212yescomplemented
142#19099177C2214yescomplemented
143#19099176C2211yescharacteristic, complemented
144#19099176C2211yescharacteristic, complemented
145#19099174C2212yescomplemented
146#19099173C2212yescomplemented
147#19099171C2212yescomplemented
148#19099170C2214yescomplemented
149#19099169C2211yescharacteristic, complemented
150#19099169C2211yescharacteristic, complemented
151#19099167C2212yescomplemented
152#19099166C2212yescomplemented
153#19099165C2214yescomplemented
154#19099164C2212yescomplemented
155#19099162C2212yescomplemented
156#19099162C2212yescomplemented
157#19099159C2214yescomplemented
158#19099157C2214yescomplemented
159#19099156C2214yescomplemented
160#19099154C2214yescomplemented
161#19099154C2214yescomplemented
162#19099153C2212yescomplemented
163#19099153C2212yescomplemented
164#19099152C2214yescomplemented
165#19099149C2214yescomplemented
166#19099149C2214yescomplemented
167#19099148C2214yescomplemented
168#19099147C2214yescomplemented
169#19099143C2212yescomplemented
170#19099142C2212yes—
171#19099141C2211yescharacteristic
172#19099141C2211yescharacteristic, complemented
173#19099137C2211yescharacteristic, complemented
174#19099136C2212yescomplemented
175#19099133C2212yescomplemented
176#19099131C2212yescomplemented
177#19099130C2211yescharacteristic, complemented
178#19099129C2212yes—
179#19099120C2212yescomplemented
180#19099118C2212yescomplemented
181#19099118C2212yescomplemented
182#19099117C2212yescomplemented
183#19099116C2214yescomplemented
184#19099115C2212yescomplemented
185#19099113C2211yescharacteristic, complemented
186#19099113C2212yescomplemented
187#19099112C2212yescomplemented
188#19099111C2212yescomplemented
189#19099110C2212yescomplemented
190#19099110C2214yescomplemented
191#19099108C2212yescomplemented
192C2×#14579161C2211yescharacteristic, complemented
193C4⋊Q8×D79C2212yescomplemented
194#19099100C2212yescomplemented
195#19099100C2212yescomplemented
196#19099100C2212yescomplemented
197#19099100C2212yescomplemented
198#19099100C2212yescomplemented
199#19099099C2212yescomplemented
200#19099099C2214yescomplemented
201#19099096C2214yescomplemented
202#19099095C2212yescomplemented
203#19099095C2214yescomplemented
204#19099094C2212yescomplemented
205#19099093C2214yescomplemented
206#19099092C2214yescomplemented
207#19099092C2212yescomplemented
208#19099092C2212yescomplemented
209#19099091C2214yescomplemented
210#19099091C2214yescomplemented
211#19099090C2214yescomplemented
212#19099090C2214yescomplemented
213C2×#14579154C2212yescomplemented
214#126×D79C2214yescomplemented
215C2×#14579147C2212yescomplemented
216#124×D79C2212yescomplemented
217#124×D79C2214yescomplemented
218#19099076C2212yescomplemented
219#19099075C2211yescharacteristic
220#19099075C2211yescharacteristic, complemented
221#19099075C2214yescomplemented
222#19099073C2212yes—
223#19099072C2214yescomplemented
224#19099069C2214yescomplemented
225C2×#14579145C2212yescomplemented
226#123×D79C2214yescomplemented
227C2×#14579138C2212yescomplemented
228C2×#14579137C2211yescharacteristic, complemented
229C22⋊Q8×D79C2212yescomplemented
230C22⋊Q8×D79C2214yescomplemented
231C2×#14579132C2211yescharacteristic
232#121×D79C2212yes—
233#19099045C2212yescomplemented
234#19099045C2212yescomplemented
235#19099045C2211yescharacteristic, complemented
236#19099045C2211yescharacteristic, complemented
237#19099043C2211yescharacteristic
238#19099043C2211yescharacteristic
239#19099043C2211yescharacteristic, complemented
240#19099043C2211yescharacteristic, complemented
241#19099043C2214yescomplemented
242#19099042C2212yescomplemented
243#19099042C2212yescomplemented
244#19099042C2212yescomplemented
245#19099042C2211yescharacteristic, complemented
246#19099042C2211yescharacteristic, complemented
247#19099042C2212yescomplemented
248#19099039C2212yescomplemented
249#19099039C2211yescharacteristic, complemented
250#19099039C2211yescharacteristic, complemented
251#19099039C2212yescomplemented
252#19099036C2214yescomplemented
253#19099035C2212yescomplemented
254#19099035C2212yescomplemented
255#19099035C2211yescharacteristic, complemented
256#19099035C2212yescomplemented
257#19099035C2211yescharacteristic, complemented
258#19099035C2212yescomplemented
259#41×Dic79C2211yescharacteristic, complemented
260C4×#11929625C2212yescomplemented
261C4×#11929625C2212yescomplemented
262C4×#11929624C2211yescharacteristic
263C4×#11929624C2212yescomplemented
264#19099031C2211yescharacteristic
265#19099031C2212yescomplemented
266#19099031C2211yescharacteristic, complemented
267#19099031C2211yescharacteristic, complemented
268#19099031C2214yescomplemented
269C4×#11929623C2212yescomplemented
270C4×#11929623C2212yescomplemented
271C2×Q8×Dic79C2211yescharacteristic, complemented
272C4×Q8×D79C2212yescomplemented
273C4×Q8×D79C2212yescomplemented
274C2×D4×Dic79C2211yescharacteristic, complemented
275C2×(C22⋊D79)⋊C4C2214yescomplemented
276C4×D4×D79C2212yescomplemented
277C4×D4×D79C2212yescomplemented
278C2×#14579118C2211yescharacteristic, complemented
279C2×#14579118C2212yescomplemented
280#117×D79C2212yescomplemented
281#117×D79C2211yescharacteristic, complemented
282#559×C79C2212yescomplemented
283#559×C79C2212yescomplemented
284#556×C79C2212yescomplemented
285#556×C79C2212yescomplemented
286#551×C79C2214yescomplemented
287#551×C79C2214yescomplemented
288#542×C79C2212yescomplemented
289#542×C79C2212yescomplemented
290#536×C79C2211yescharacteristic, complemented
291#535×C79C2211yescharacteristic
292#533×C79C2211yescharacteristic, complemented
293#529×C79C2212yescomplemented
294#529×C79C2212yescomplemented
295C2×#124×C79C2211yescharacteristic, complemented
296#519×C79C2211yescharacteristic, complemented
297#518×C79C2211yescharacteristic, complemented
298C4×#41×C79C2211yescharacteristic, complemented
299#14579209—28no—
300#14579206—28no—
301C2×#11929625C2312yes—
302C2×#11929625C2312yes—
303C2×#11929625C2311yescharacteristic
304C2×#11929624C2312yes—
305C2×#11929624C2311yescharacteristic
306C2×#11929624C2311yescharacteristic
307C2×#11929624C2314yes—
308C2×#11929624C2314yes—
309C2×#11929624C2314yes—
310C2×#11929624C2311yescharacteristic
311C2×#11929623C2312yes—
312C2×#11929623C2312yes—
313C2×#11929623C2312yes—
314C2×#11929623C2311yescharacteristic
315C2×#11929623C2314yes—
316#41×D79—28no—
317C22×Dic158C2312yes—
318C2×Q8×D79C2312yes—
319C2×Q8×D79C2312yes—
320C2×Q8×D79C2311yescharacteristic
321C2×Q8×D79C2314yes—
322C22×C22⋊D79C2314yes—
323C22×C22⋊D79C2312yes—
324C2×D4×D79C2312yes—
325C2×D4×D79C2312yes—
326C2×D4×D79C2312yes—
327C2×D4×D79C2311yescharacteristic
328C2×D4×D79C2314yes—
329C23×Dic79C2312yes—
330C22×C4×D79C2312yes—
331C22×C4×D79C2311yescharacteristic
332C22×C4×D79C2314yes—
333#14579161C2311yescharacteristic
334#14579161C2312yes—
335#14579161C2312yes—
336#14579161C2312yes—
337#14579161C2312yes—
338#14579161C2312yes—
339#14579161C2312yes—
340#14579160C2314yes—
341#14579160C2312yes—
342#14579160C2314yes—
343#14579160C2314yes—
344#14579160C2312yes—
345#14579160C2314yes—
346#14579159C2312yes—
347#14579159C2314yes—
348#14579158C2311yescharacteristic
349#14579157C2312yes—
350#14579157C2314yes—
351#14579156C2314yes—
352#14579156C2314yes—
353#14579156C2314yes—
354#14579156C2312yes—
355#14579156C2312yes—
356#14579156C2312yes—
357#14579156C2312yes—
358#14579156C2312yes—
359#14579156C2314yes—
360#14579156C2314yes—
361#14579156C2312yes—
362#14579156C2312yes—
363#14579156C2312yes—
364#14579156C2314yes—
365#14579155C2314yes—
366#14579155C2314yes—
367#14579154C2314yes—
368#14579154C2314yes—
369#14579154C2314yes—
370#14579154C2314yes—
371#14579154C2314yes—
372#14579154C2314yes—
373#14579154C2314yes—
374#14579154C2314yes—
375#14579154C2314yes—
376#14579154C2314yes—
377#14579153C2314yes—
378#14579153C2314yes—
379#14579153C2312yes—
380#14579153C2312yes—
381#14579152C2314yes—
382#14579152C2312yes—
383#14579152C2312yes—
384#14579152C2312yes—
385#14579152C2312yes—
386#14579152C2312yes—
387#14579152C2312yes—
388#14579151C2314yes—
389#14579151C2314yes—
390#14579151C2314yes—
391#14579151C2314yes—
392#14579151C2314yes—
393#14579151C2314yes—
394#14579150C2312yes—
395#14579150C2312yes—
396#14579150C2312yes—
397#14579150C2312yes—
398#14579150C2312yes—
399#14579149C2314yes—
400#14579149C2314yes—
401#14579149C2311yescharacteristic
402#14579149C2311yescharacteristic
403#14579148C2314yes—
404#14579148C2312yes—
405#14579147C2314yes—
406#14579147C2314yes—
407#14579147C2314yes—
408#14579147C2314yes—
409#14579147C2314yes—
410#14579147C2314yes—
411#14579147C2314yes—
412#14579147C2314yes—
413#14579147C2314yes—
414#14579147C2314yes—
415#14579147C2314yes—
416#14579147C2314yes—
417#14579147C2314yes—
418#14579147C2314yes—
419#14579146C2314yes—
420#14579146C2312yes—
421#14579146C2312yes—
422#14579146C2314yes—
423#14579146C2312yes—
424#14579146C2312yes—
425#14579146C2312yes—
426#14579146C2314yes—
427#14579146C2312yes—
428#14579146C2312yes—
429#14579146C2312yes—
430#14579146C2314yes—
431#14579145C2314yes—
432#14579145C2314yes—
433#14579145C2314yes—
434#14579145C2314yes—
435#14579145C2312yes—
436#14579145C2312yes—
437#14579145C2314yes—
438#14579145C2314yes—
439#14579144C2314yes—
440#14579144C2314yes—
441#14579144C2314yes—
442#14579143C2314yes—
443#14579143C2314yes—
444#14579143C2314yes—
445#14579143C2314yes—
446#14579143C2314yes—
447#14579143C2314yes—
448#14579143C2314yes—
449#14579143C2314yes—
450#14579143C2314yes—
451#14579143C2314yes—
452#14579142C2314yes—
453#14579142C2314yes—
454#14579141C2311yescharacteristic
455#14579141C2311yescharacteristic
456#14579141C2314yes—
457#14579141C2314yes—
458#14579141C2314yes—
459#14579141C2314yes—
460#14579141C2311yescharacteristic
461#14579141C2311yescharacteristic
462#14579140C2312yes—
463#14579140C2312yes—
464#14579140C2314yes—
465#14579140C2314yes—
466#14579139C2314yes—
467#14579139C2314yes—
468#14579139C2314yes—
469#14579139C2314yes—
470#14579139C2314yes—
471#14579139C2314yes—
472#14579139C2314yes—
473#14579139C2314yes—
474#14579138C2314yes—
475#14579138C2314yes—
476#14579138C2314yes—
477#14579138C2314yes—
478#14579138C2314yes—
479#14579138C2314yes—
480#14579138C2314yes—
481#14579138C2314yes—
482#14579138C2314yes—
483#14579138C2314yes—
484#14579138C2314yes—
485#14579138C2314yes—
486#14579137C2312yes—
487#14579137C2312yes—
488#14579137C2312yes—
489#14579137C2312yes—
490#14579137C2312yes—
491#14579137C2314yes—
492#14579137C2312yes—
493#14579137C2312yes—
494#14579137C2312yes—
495#14579137C2312yes—
496#14579137C2312yes—
497#14579137C2312yes—
498#14579137C2312yes—
499#14579136C2311yescharacteristic
500#14579136C2314yes—
501#14579136C2312yes—
502#14579136C2312yes—
503#14579136C2312yes—
504#14579136C2312yes—
505#14579136C2311yescharacteristic
506#14579136C2311yescharacteristic
507#14579136C2311yescharacteristic
508#14579135C2312yes—
509#14579135C2312yes—
510#14579135C2314yes—
511#14579135C2314yes—
512#14579135C2312yes—
513#14579135C2312yes—
514#14579134C2314yes—
515#14579134C2314yes—
516#14579134C2314yes—
517#14579134C2314yes—
518#14579134C2314yes—
519#14579134C2314yes—
520#14579134C2314yes—
521#14579134C2314yes—
522#14579134C2314yes—
523#14579134C2314yes—
524#14579133C2314yes—
525#14579133C2314yes—
526#14579133C2314yes—
527#14579133C2314yes—
528#14579133C2314yes—
529#14579133C2314yes—
530#14579132C2312yes—
531#14579132C2312yes—
532#14579132C2314yes—
533#14579132C2312yes—
534#14579132C2314yes—
535#14579132C2312yes—
536#14579132C2312yes—
537#14579132C2312yes—
538#14579132C2312yes—
539#14579132C2312yes—
540#14579131C2314yes—
541#14579131C2314yes—
542#14579131C2314yes—
543#14579131C2314yes—
544#14579131C2312yes—
545#14579131C2312yes—
546#14579130C2314yes—
547#14579129C2314yes—
548#14579129C2314yes—
549Q8×Dic79C2312yes—
550Q8×Dic79C2311yescharacteristic
551Q8×Dic79C2312yes—
552Q8×Dic79C2312yes—
553Q8×Dic79C2312yes—
554Q8×Dic79C2311yescharacteristic
555Q8×Dic79C2314yes—
556C4×Dic158C2312yes—
557C4×Dic158C2312yes—
558C4×Dic158C2314yes—
559C4×Dic158C2312yes—
560C4×Dic158C2312yes—
561C4×Dic158C2312yes—
562C4×Dic158C2311yescharacteristic
563C4×Dic158C2311yescharacteristic
564C4×Dic158C2312yes—
565C4×Dic158C2314yes—
566C4×Dic158C2314yes—
567C4×Dic158C2314yes—
568#14579126C2314yes—
569#14579126C2311yescharacteristic
570#14579126C2311yescharacteristic
571#14579126C2311yescharacteristic
572#14579126C2311yescharacteristic
573#14579126C2314yes—
574#14579126C2314yes—
575#14579126C2314yes—
576#14579126C2312yes—
577#14579126C2312yes—
578#14579126C2311yescharacteristic
579#14579126C2311yescharacteristic
580C4×D316C2314yes—
581C4×D316C2312yes—
582C4×D316C2312yes—
583C4×D316C2312yes—
584C4×D316C2312yes—
585C4×D316C2312yes—
586C4×D316C2312yes—
587C4×D316C2312yes—
588C4×D316C2311yescharacteristic
589C4×D316C2311yescharacteristic
590C4×D316C2312yes—
591C4×D316C2312yes—
592C4×D316C2312yes—
593C4×D316C2312yes—
594C4×D316C2314yes—
595C4×D316C2312yes—
596C4×D316C2314yes—
597C4×D316C2314yes—
598D4×Dic79C2312yes—
599D4×Dic79C2312yes—
600D4×Dic79C2312yes—
601D4×Dic79C2311yescharacteristic
602D4×Dic79C2312yes—
603D4×Dic79C2312yes—
604D4×Dic79C2312yes—
605D4×Dic79C2311yescharacteristic
606D4×Dic79C2314yes—
607D4×Dic79C2314yes—
608#14579123C2314yes—
609#14579123C2311yescharacteristic
610#14579123C2311yescharacteristic
611#14579123C2311yescharacteristic
612#14579123C2311yescharacteristic
613#14579123C2314yes—
614#14579123C2314yes—
615#14579123C2312yes—
616#14579123C2312yes—
617#14579123C2311yescharacteristic
618#14579123C2311yescharacteristic
619C4×C22⋊D79C2312yes—
620C4×C22⋊D79C2314yes—
621C4×C22⋊D79C2312yes—
622C4×C22⋊D79C2312yes—
623C4×C22⋊D79C2312yes—
624C4×C22⋊D79C2314yes—
625C4×C22⋊D79C2312yes—
626C4×C22⋊D79C2312yes—
627C4×C22⋊D79C2314yes—
628C4×C22⋊D79C2314yes—
629C4×C22⋊D79C2314yes—
630C4×C22⋊D79C2314yes—
631(C22⋊D79)⋊C4C2314yes—
632(C22⋊D79)⋊C4C2312yes—
633(C22⋊D79)⋊C4C2312yes—
634(C22⋊D79)⋊C4C2312yes—
635(C22⋊D79)⋊C4C2312yes—
636(C22⋊D79)⋊C4C2314yes—
637(C22⋊D79)⋊C4C2314yes—
638(C22⋊D79)⋊C4C2314yes—
639(C22⋊D79)⋊C4C2314yes—
640(C22⋊D79)⋊C4C2314yes—
641(C22⋊D79)⋊C4C2314yes—
642(C22⋊D79)⋊C4C2314yes—
643(C22⋊D79)⋊C4C2314yes—
644(C22⋊D79)⋊C4C2314yes—
645(C22⋊D79)⋊C4C2312yes—
646(C22⋊D79)⋊C4C2314yes—
647(C22⋊D79)⋊C4C2312yes—
648(C22⋊D79)⋊C4C2314yes—
649(C22⋊D79)⋊C4C2314yes—
650(C22⋊D79)⋊C4C2314yes—
651(C22⋊D79)⋊C4C2312yes—
652(C22⋊D79)⋊C4C2312yes—
653(C22⋊D79)⋊C4C2312yes—
654(C22⋊D79)⋊C4C2312yes—
655#14579120C2311yescharacteristic
656#14579120C2312yes—
657#14579120C2314yes—
658#14579120C2314yes—
659#14579119C2312yes—
660#14579119C2314yes—
661#14579119C2312yes—
662#14579119C2312yes—
663#14579119C2312yes—
664#14579119C2314yes—
665#14579119C2314yes—
666#14579119C2311yescharacteristic
667#14579119C2312yes—
668#14579119C2312yes—
669#14579119C2311yescharacteristic
670#14579118C2312yes—
671#14579118C2312yes—
672#14579118C2311yescharacteristic
673#14579118C2311yescharacteristic
674#14579118C2312yes—
675#14579118C2311yescharacteristic
676#14579118C2311yescharacteristic
677#14579118C2311yescharacteristic
678#14579118C2311yescharacteristic
679#14579118C2311yescharacteristic
680#14579118C2311yescharacteristic
681#14579118C2312yes—
682#14579118C2312yes—
683#14579118C2314yes—
684#14579118C2312yes—
685#14579118C2314yes—
686#14579118C2314yes—
687#14579118C2312yes—
688#14579118C2314yes—
689#14579118C2312yes—
690#14579118C2312yes—
691#14579117C2314yes—
692#14579117C2312yes—
693#14579117C2312yes—
694#14579117C2312yes—
695#14579117C2314yes—
696#14579117C2314yes—
697#14579117C2314yes—
698C2×C4⋊Dic79C2311yescharacteristic
699C2×C4⋊Dic79C2311yescharacteristic
700C2×C4⋊Dic79C2312yes—
701C2×C4⋊Dic79C2312yes—
702C2×Dic79⋊C4C2311yescharacteristic
703C2×Dic79⋊C4C2311yescharacteristic
704C2×Dic79⋊C4C2312yes—
705C2×Dic79⋊C4C2312yes—
706C2×Dic79⋊C4C2314yes—
707C2×Dic79⋊C4C2312yes—
708C4⋊C4×D79C2312yes—
709C4⋊C4×D79C2312yes—
710C4⋊C4×D79C2312yes—
711C4⋊C4×D79C2314yes—
712C4⋊C4×D79C2312yes—
713C4⋊C4×D79C2314yes—
714C4⋊C4×D79C2314yes—
715C4⋊C4×D79C2312yes—
716C4⋊C4×D79C2311yescharacteristic
717C4⋊C4×D79C2312yes—
718C4⋊C4×D79C2311yescharacteristic
719C4⋊C4×D79C2314yes—
720C2×C22⋊Dic79C2312yes—
721C2×C22⋊Dic79C2312yes—
722C2×(C2×D79)⋊C4C2311yescharacteristic
723C2×(C2×D79)⋊C4C2311yescharacteristic
724C2×(C2×D79)⋊C4C2312yes—
725C2×(C2×D79)⋊C4C2312yes—
726C2×(C2×D79)⋊C4C2312yes—
727C2×(C2×D79)⋊C4C2314yes—
728C22⋊C4×D79C2312yes—
729C22⋊C4×D79C2312yes—
730C22⋊C4×D79C2314yes—
731C22⋊C4×D79C2314yes—
732C22⋊C4×D79C2312yes—
733C22⋊C4×D79C2314yes—
734C22⋊C4×D79C2314yes—
735C22⋊C4×D79C2314yes—
736C22⋊C4×D79C2314yes—
737C2×C4×Dic79C2311yescharacteristic
738C2×C4×Dic79C2312yes—
739C2×C4×Dic79C2314yes—
740C2×C4×Dic79C2312yes—
741C42×D79C2312yes—
742C42×D79C2312yes—
743C42×D79C2312yes—
744C42×D79C2312yes—
745C42×D79C2314yes—
746C42×D79C2314yes—
747C42×D79C2312yes—
748C2×#41×C79C2311yescharacteristic
749C22×Q8×C79C2311yescharacteristic
750C22×D4×C79C2311yescharacteristic
751C4⋊Q8×C79C2312yes—
752C4⋊Q8×C79C2311yescharacteristic
753C4⋊Q8×C79C2311yescharacteristic
754#127×C79C2312yes—
755#126×C79C2314yes—
756#126×C79C2314yes—
757#126×C79C2314yes—
758#126×C79C2314yes—
759#125×C79C2311yescharacteristic
760#125×C79C2311yescharacteristic
761#124×C79C2314yes—
762#124×C79C2314yes—
763#124×C79C2312yes—
764#124×C79C2312yes—
765#124×C79C2312yes—
766#124×C79C2312yes—
767#124×C79C2312yes—
768#124×C79C2312yes—
769#123×C79C2314yes—
770#123×C79C2314yes—
771#123×C79C2314yes—
772#123×C79C2314yes—
773#123×C79C2314yes—
774C22⋊Q8×C79C2312yes—
775C22⋊Q8×C79C2312yes—
776C22⋊Q8×C79C2312yes—
777C22⋊Q8×C79C2312yes—
778C22⋊Q8×C79C2314yes—
779C22⋊Q8×C79C2314yes—
780#121×C79C2312yes—
781#121×C79C2312yes—
782#120×C79C2314yes—
783C4×Q8×C79C2312yes—
784C4×Q8×C79C2312yes—
785C4×Q8×C79C2312yes—
786C4×Q8×C79C2311yescharacteristic
787C4×Q8×C79C2311yescharacteristic
788C4×Q8×C79C2312yes—
789C4×Q8×C79C2312yes—
790C4×Q8×C79C2312yes—
791C4×D4×C79C2312yes—
792C4×D4×C79C2312yes—
793C4×D4×C79C2314yes—
794C4×D4×C79C2311yescharacteristic
795C4×D4×C79C2312yes—
796C4×D4×C79C2312yes—
797C4×D4×C79C2312yes—
798C4×D4×C79C2311yescharacteristic
799C4×D4×C79C2312yes—
800C4×D4×C79C2314yes—
801#117×C79C2312yes—
802#117×C79C2311yescharacteristic
803#117×C79C2311yescharacteristic
804#117×C79C2311yescharacteristic
805#117×C79C2314yes—
806#117×C79C2314yes—
807#117×C79C2314yes—
808C2×C22⋊C4×C79C2312yes—
809C2×C22⋊C4×C79C2312yes—
810C2×C22⋊C4×C79C2314yes—
811C2×C42×C79C2311yescharacteristic
812C2×C42×C79C2312yes—
813C23×D79C2414yes—
814C23×D79C2412yes—
815C23×D79C2411yescharacteristic
816#11929625—24no—
817#11929625—28no—
818#11929625—28no—
819#11929624—28no—
820#11929624—24no—
821#11929624—24no—
822#11929624—216no—
823#11929624—84no—
824#11929624—84no—
825#11929624#4118yescomplemented
826#11929623—28no—
827#11929623—24no—
828#11929623—28no—
829#11929623—28no—
830#11929623—84no—
831C2×Dic158—82no—
832C2×Dic158C2414yes—
833C2×Dic158C2411yescharacteristic
834C2×Dic158C2412yes—
835C2×Dic158C2411yescharacteristic
836C2×Dic158C2414yes—
837C2×Dic158C2414yes—
838C2×Dic158C2414yes—
839C2×Dic158C2414yes—
840C2×Dic158C2411yescharacteristic
841Q8×D79—28no—
842Q8×D79—24no—
843Q8×D79—28no—
844Q8×D79—84no—
845C2×D316C2414yes—
846C2×D316C2411yescharacteristic
847C2×D316C2412yes—
848C2×D316C2411yescharacteristic
849C2×D316C2412yes—
850C2×D316C2412yes—
851C2×D316C2412yes—
852C2×D316C2412yes—
853C2×D316C2412yes—
854C2×D316C2412yes—
855C2×D316C2411yescharacteristic
856C2×C22⋊D79—216no—
857C2×C22⋊D79—82no—
858C2×C22⋊D79C2412yes—
859C2×C22⋊D79C2412yes—
860C2×C22⋊D79C2414yes—
861C2×C22⋊D79C2414yes—
862C2×C22⋊D79C2412yes—
863C2×C22⋊D79C2412yes—
864C2×C22⋊D79C2414yes—
865C2×C22⋊D79C2414yes—
866C2×C22⋊D79C2414yes—
867C2×C22⋊D79C2414yes—
868C2×C22⋊D79C2414yes—
869C2×C22⋊D79C2414yes—
870C2×C22⋊D79C2412yes—
871D4×D79—24no—
872D4×D79—28no—
873D4×D79—28no—
874D4×D79—28no—
875D4×D79—84no—
876C22×Dic79—82no—
877C22×Dic79C2414yes—
878C22×Dic79C2411yescharacteristic
879C22×Dic79C2412yes—
880C22×Dic79C2412yes—
881C22×Dic79C2412yes—
882C22×Dic79C2412yes—
883C22×Dic79C2414yes—
884C22×Dic79C2411yescharacteristic
885C22×Dic79C2411yescharacteristic
886C22×Dic79C2412yes—
887C22×Dic79C2414yes—
888C2×C4×D79—28no—
889C2×C4×D79—24no—
890C2×C4×D79—84no—
891C2×C4×D79C2414yes—
892C2×C4×D79C2414yes—
893C2×C4×D79C2412yes—
894C2×C4×D79C2412yes—
895C2×C4×D79C2411yescharacteristic
896C2×C4×D79C2412yes—
897C2×C4×D79C2412yes—
898C2×C4×D79C2411yescharacteristic
899C2×C4×D79C2411yescharacteristic
900C2×C4×D79C2411yescharacteristic
901C2×C4×D79C2412yes—
902C2×C4×D79C2414yes—
903C2×C4×D79C2414yes—
904C2×C4×D79C2412yes—
905C2×C4×D79C2412yes—
906C2×C4×D79C2414yes—
907C2×C4×D79C2414yes—
908C2×C4×D79C2412yes—
909C2×C4×D79C2412yes—
910C2×C4×D79C2412yes—
911C2×C4×D79C2412yes—
912C2×C4×D79C2412yes—
913C2×C4×D79C2412yes—
914C2×C4×D79C2412yes—
915C2×C4×D79C2412yes—
916C4⋊Dic79C2412yes—
917C4⋊Dic79C2412yes—
918C4⋊Dic79C2412yes—
919C4⋊Dic79C2412yes—
920C4⋊Dic79C2412yes—
921C4⋊Dic79C2414yes—
922C4⋊Dic79C2414yes—
923C4⋊Dic79C2414yes—
924C4⋊Dic79C2411yescharacteristic
925C4⋊Dic79C2411yescharacteristic
926C4⋊Dic79C2412yes—
927C4⋊Dic79C2412yes—
928C4⋊Dic79C2414yes—
929C4⋊Dic79C2414yes—
930C4⋊Dic79C2412yes—
931C4⋊Dic79C2412yes—
932C4⋊Dic79C2412yes—
933C4⋊Dic79C2414yes—
934C4⋊Dic79C2412yes—
935C4⋊Dic79C2412yes—
936Dic79⋊C4C2412yes—
937Dic79⋊C4C2411yescharacteristic
938Dic79⋊C4C2411yescharacteristic
939Dic79⋊C4C2412yes—
940Dic79⋊C4C2412yes—
941Dic79⋊C4C2414yes—
942Dic79⋊C4C2412yes—
943Dic79⋊C4C2414yes—
944Dic79⋊C4C2414yes—
945Dic79⋊C4C2414yes—
946Dic79⋊C4C2414yes—
947Dic79⋊C4C2414yes—
948Dic79⋊C4C2414yes—
949Dic79⋊C4C2414yes—
950Dic79⋊C4C2411yescharacteristic
951Dic79⋊C4C2411yescharacteristic
952Dic79⋊C4C2412yes—
953Dic79⋊C4C2412yes—
954Dic79⋊C4C2411yescharacteristic
955Dic79⋊C4C2411yescharacteristic
956Dic79⋊C4C2412yes—
957Dic79⋊C4C2412yes—
958Dic79⋊C4C2411yescharacteristic
959Dic79⋊C4C2411yescharacteristic
960Dic79⋊C4C2414yes—
961Dic79⋊C4C2412yes—
962Dic79⋊C4C2414yes—
963Dic79⋊C4C2414yes—
964Dic79⋊C4C2412yes—
965Dic79⋊C4C2414yes—
966Dic79⋊C4C2414yes—
967Dic79⋊C4C2414yes—
968C22⋊Dic79C2414yes—
969C22⋊Dic79C2414yes—
970C22⋊Dic79C2414yes—
971C22⋊Dic79C2412yes—
972C22⋊Dic79C2412yes—
973C22⋊Dic79C2412yes—
974C22⋊Dic79C2414yes—
975C22⋊Dic79C2414yes—
976C22⋊Dic79C2414yes—
977C22⋊Dic79C2414yes—
978C22⋊Dic79C2414yes—
979(C2×D79)⋊C4C2412yes—
980(C2×D79)⋊C4C2412yes—
981(C2×D79)⋊C4C2412yes—
982(C2×D79)⋊C4C2411yescharacteristic
983(C2×D79)⋊C4C2411yescharacteristic
984(C2×D79)⋊C4C2412yes—
985(C2×D79)⋊C4C2412yes—
986(C2×D79)⋊C4C2412yes—
987(C2×D79)⋊C4C2412yes—
988(C2×D79)⋊C4C2412yes—
989(C2×D79)⋊C4C2414yes—
990(C2×D79)⋊C4C2414yes—
991(C2×D79)⋊C4C2414yes—
992(C2×D79)⋊C4C2414yes—
993(C2×D79)⋊C4C2414yes—
994(C2×D79)⋊C4C2414yes—
995(C2×D79)⋊C4C2411yescharacteristic
996(C2×D79)⋊C4C2411yescharacteristic
997(C2×D79)⋊C4C2412yes—
998(C2×D79)⋊C4C2412yes—
999(C2×D79)⋊C4C2411yescharacteristic
1000(C2×D79)⋊C4C2411yescharacteristic
1001(C2×D79)⋊C4C2412yes—
1002(C2×D79)⋊C4C2412yes—
1003(C2×D79)⋊C4C2411yescharacteristic
1004(C2×D79)⋊C4C2411yescharacteristic
1005(C2×D79)⋊C4C2414yes—
1006(C2×D79)⋊C4C2412yes—
1007(C2×D79)⋊C4C2412yes—
1008(C2×D79)⋊C4C2412yes—
1009(C2×D79)⋊C4C2414yes—
1010(C2×D79)⋊C4C2412yes—
1011(C2×D79)⋊C4C2414yes—
1012(C2×D79)⋊C4C2412yes—
1013(C2×D79)⋊C4C2412yes—
1014(C2×D79)⋊C4C2412yes—
1015(C2×D79)⋊C4C2412yes—
1016(C2×D79)⋊C4C2414yes—
1017(C2×D79)⋊C4C2412yes—
1018(C2×D79)⋊C4C2412yes—
1019C4×Dic79C2412yes—
1020C4×Dic79C2412yes—
1021C4×Dic79C2411yescharacteristic
1022C4×Dic79C2411yescharacteristic
1023C4×Dic79C2411yescharacteristic
1024C4×Dic79C2412yes—
1025C4×Dic79C2414yes—
1026C4×Dic79C2412yes—
1027C4×Dic79C2412yes—
1028C4×Dic79C2412yes—
1029C4×Dic79C2412yes—
1030C4×Dic79C2412yes—
1031C4×Dic79C2412yes—
1032C4×Dic79C2412yes—
1033C4×Dic79C2412yes—
1034C4×Dic79C2414yes—
1035C4×Dic79C2414yes—
1036C4×Dic79C2411yescharacteristic
1037C4×Dic79C2412yes—
1038C4×Dic79C2414yes—
1039C4×Dic79C2414yes—
1040C4×Dic79C2414yes—
1041C4×Dic79C2412yes—
1042C24×C79C2412yes—
1043#41×C79—24no—
1044C2×Q8×C79—24no—
1045C2×Q8×C79C2412yes—
1046C2×Q8×C79C2412yes—
1047C2×Q8×C79C2411yescharacteristic
1048C2×Q8×C79C2412yes—
1049C2×Q8×C79C2412yes—
1050C2×D4×C79—24no—
1051C2×D4×C79C2412yes—
1052C2×D4×C79C2412yes—
1053C2×D4×C79C2412yes—
1054C2×D4×C79C2411yescharacteristic
1055C2×D4×C79C2414yes—
1056C2×D4×C79C2414yes—
1057C22×C4×C79C2412yes—
1058C22×C4×C79C2412yes—
1059C22×C4×C79C2411yescharacteristic
1060C22×C4×C79C2412yes—
1061C22×C4×C79C2414yes—
1062C22×C4×C79C2411yescharacteristic
1063C22×C4×C79C2412yes—
1064C22×C4×C79C2414yes—
1065C22×C4×C79C2411yescharacteristic
1066C4⋊C4×C79C2412yes—
1067C4⋊C4×C79C2412yes—
1068C4⋊C4×C79C2411yescharacteristic
1069C4⋊C4×C79C2411yescharacteristic
1070C4⋊C4×C79C2411yescharacteristic
1071C4⋊C4×C79C2411yescharacteristic
1072C4⋊C4×C79C2412yes—
1073C4⋊C4×C79C2412yes—
1074C4⋊C4×C79C2411yescharacteristic
1075C4⋊C4×C79C2411yescharacteristic
1076C4⋊C4×C79C2414yes—
1077C4⋊C4×C79C2414yes—
1078C4⋊C4×C79C2414yes—
1079C4⋊C4×C79C2414yes—
1080C4⋊C4×C79C2412yes—
1081C4⋊C4×C79C2412yes—
1082C4⋊C4×C79C2412yes—
1083C4⋊C4×C79C2412yes—
1084C22⋊C4×C79C2412yes—
1085C22⋊C4×C79C2412yes—
1086C22⋊C4×C79C2414yes—
1087C22⋊C4×C79C2414yes—
1088C22⋊C4×C79C2414yes—
1089C22⋊C4×C79C2414yes—
1090C22⋊C4×C79C2414yes—
1091C22⋊C4×C79C2414yes—
1092C22⋊C4×C79C2412yes—
1093C22⋊C4×C79C2412yes—
1094C22⋊C4×C79C2412yes—
1095C22⋊C4×C79C2414yes—
1096C22⋊C4×C79C2414yes—
1097C22⋊C4×C79C2414yes—
1098C22⋊C4×C79C2414yes—
1099C42×C79C2411yescharacteristic
1100C42×C79C2412yes—
1101C42×C79C2412yes—
1102C42×C79C2412yes—
1103C42×C79C2411yescharacteristic
1104C42×C79C2411yescharacteristic
1105C42×C79C2411yescharacteristic
1106C42×C79C2414yes—
1107C42×C79C2414yes—
1108C42×C79C2412yes—
1109C42×C79C2412yes—
1110C23×C79—24no—
1111C23×C79—42no—
1112C23×C79—42no—
1113C23×C79C2514yes—
1114C23×C79C2512yes—
1115C23×C79C2511yescharacteristic
1116C22×D79—22no—
1117C22×D79—24no—
1118C22×D79—28no—
1119C22×D79—44no—
1120C22×D79—42no—
1121C22×D79—41no—
1122C22×D79—42no—
1123C22×D79—44no—
1124C22×D79—41no—
1125C22×D79C2511yescharacteristic
1126C22×D79C2512yes—
1127C22×D79C2511yescharacteristic
1128C22×D79C2512yes—
1129C22×D79C2512yes—
1130Q8×C79—24no—
1131Q8×C79—24no—
1132Q8×C79—22no—
1133Q8×C79—42no—
1134Q8×C79—42no—
1135D4×C79—24no—
1136D4×C79—24no—
1137D4×C79—24no—
1138D4×C79—22no—
1139D4×C79—44no—
1140D4×C79—44no—
1141C2×C4×C79—24no—
1142C2×C4×C79—24no—
1143C2×C4×C79—44no—
1144C2×C4×C79—41no—
1145C2×C4×C79—42no—
1146C2×C4×C79—42no—
1147C2×C4×C79—44no—
1148C2×C4×C79—41no—
1149C2×C4×C79C2×#4114yes—
1150C2×C4×C79C2512yes—
1151C2×C4×C79C2512yes—
1152C2×C4×C79C2512yes—
1153C2×C4×C79C2511yescharacteristic
1154C2×C4×C79C2511yescharacteristic
1155C2×C4×C79C2514yes—
1156C2×C4×C79C2512yes—
1157C2×C4×C79C2512yes—
1158C2×C4×C79C2512yes—
1159C2×C4×C79C2512yes—
1160C2×C4×C79C2511yescharacteristic
1161C2×C4×C79C2511yescharacteristic
1162C2×C4×C79C2511yescharacteristic
1163C2×C4×C79C2511yescharacteristic
1164C22⋊D79—24no—
1165C22⋊D79—24no—
1166C22⋊D79—28no—
1167C22⋊D79—24no—
1168C22⋊D79—28no—
1169C22⋊D79—24no—
1170C22⋊D79—44no—
1171C22⋊D79—44no—
1172C22⋊D79—44no—
1173C22⋊D79—44no—
1174C22⋊D79—44no—
1175C22⋊D79—44no—
1176C22⋊D79C2×#4118yes—
1177C2×Dic79—22no—
1178C2×Dic79—24no—
1179C2×Dic79—28no—
1180C2×Dic79—44no—
1181C2×Dic79—41no—
1182C2×Dic79—42no—
1183C2×Dic79—44no—
1184C2×Dic79—42no—
1185C2×Dic79—41no—
1186C2×Dic79—42no—
1187C2×Dic79—42no—
1188C2×Dic79C2511yescharacteristic
1189C2×Dic79C2511yescharacteristic
1190C2×Dic79C2511yescharacteristic
1191C2×Dic79C2511yescharacteristic
1192C2×Dic79C2512yes—
1193C2×Dic79C2512yes—
1194C2×Dic79C2511yescharacteristic
1195C2×Dic79C2512yes—
1196C2×Dic79C2512yes—
1197C2×Dic79C2514yes—
1198C2×Dic79C2514yes—
1199C2×Dic79C2511yescharacteristic
1200C2×Dic79C2512yes—
1201D316—24no—
1202D316—28no—
1203D316—22no—
1204D316—22no—
1205D316—42no—
1206D316—42no—
1207D316—42no—
1208D316—42no—
1209D316—42no—
1210D316—42no—
1211D316C2×#4114yes—
1212C4×D79—24no—
1213C4×D79—28no—
1214C4×D79—22no—
1215C4×D79—22no—
1216C4×D79—22no—
1217C4×D79—22no—
1218C4×D79—24no—
1219C4×D79—24no—
1220C4×D79—24no—
1221C4×D79—28no—
1222C4×D79—42no—
1223C4×D79—42no—
1224C4×D79—44no—
1225C4×D79—44no—
1226C4×D79—42no—
1227C4×D79—42no—
1228C4×D79—42no—
1229C4×D79—42no—
1230C4×D79—42no—
1231C4×D79—44no—
1232C4×D79—42no—
1233C4×D79—42no—
1234C4×D79—44no—
1235C4×D79—42no—
1236C4×D79C2×#4118yes—
1237Dic158—22no—
1238Dic158—22no—
1239Dic158—28no—
1240Dic158—24no—
1241Dic158—44no—
1242Dic158—44no—
1243Dic158—44no—
1244Dic158—44no—
1245Dic158C2×#4114yes—
1246C22×C79—21no—
1247C22×C79—21no—
1248C22×C79—22no—
1249C22×C79—24no—
1250C22×C79—22no—
1251C22×C79—24no—
1252C22×C79—24no—
1253C22×C79—22no—
1254C22×C79—84no—
1255C22×C79C22×#4112yes—
1256C22×C79C2611yescharacteristic
1257C2×D79—22no—
1258C2×D79—22no—
1259C2×D79—22no—
1260C2×D79—21no—
1261C2×D79—22no—
1262C2×D79—21no—
1263C2×D79—21no—
1264C2×D79—21no—
1265C2×D79—22no—
1266C2×D79—22no—
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—24no—
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×C79—21no—
1286C4×C79—22no—
1287C4×C79C22×#4112yes—
1288C4×C79C22×#4112yes—
1289Dic79—22no—
1290Dic79—21no—
1291Dic79—22no—
1292Dic79—21no—
1293Dic79—24no—
1294Dic79—22no—
1295Dic79—24no—
1296Dic79—21no—
1297Dic79—21no—
1298Dic79—22no—
1299Dic79—21no—
1300Dic79—21no—
1301Dic79C22×#4114yes—
1302#62857—791nomaximal, Sylow
1303C2×C79—22no—
1304C2×C79—42no—
1305C2×C79—44no—
1306C2×C79C23×#4111yescharacteristic
1307C2×C79H(7,𝔽2)11yescharacteristic
1308C2×C792−1+611yescharacteristic
1309D79—24no—
1310D79—42no—
1311D79—41no—
1312D79—42no—
1313D79—41no—
1314#3524—792no—
1315#3522—792no—
1316#3521—792no—
1317#3521—794no—
1318#3520—792no—
1319#3520—794no—
1320#3518—792no—
1321#3516—792no—
1322#3514—792no—
1323#3514—794no—
1324#3513—792no—
1325#3513—794no—
1326#3511—792no—
1327#3511—791no—
1328#3510—792no—
1329#3510D7911yescharacteristic, complemented
1330#3503—791no—
1331#3500—791no—
1332#3495—792no—
1333#3495—791no—
1334#3494—792no—
1335#3494—791no—
1336#3489—791no—
1337#3488—791no—
1338#3461—791no—
1339#3461—792no—
1340#3460—791no—
1341#3460—792no—
1342#3455—792no—
1343#3455—791no—
1344C2×#542—792no—
1345C2×#542—791no—
1346C4×2−1+4—791no—
1347C4×H(5,𝔽2)—791no—
1348#3428—791no—
1349C79#6285711yescharacteristic, complemented, Sylow
1350C2×2−1+4—791no—
1351C2×H(5,𝔽2)—791no—
1352C22×#41—791no—
1353#559—794no—
1354#559—794no—
1355#559C2×D7912yescomplemented
1356#559C2×D7912yescomplemented
1357Q82—792no—
1358#557—792no—
1359#556—794no—
1360#556—794no—
1361#556—794no—
1362#556—794no—
1363#556—792no—
1364#556—792no—
1365#556C2×D7912yescomplemented
1366#556C2×D7912yescomplemented
1367#555—794no—
1368#555—792no—
1369#555—792no—
1370#555—794no—
1371#554—794no—
1372#554—794no—
1373#554—792no—
1374#554—792no—
1375#554—792no—
1376#554—794no—
1377#553—794no—
1378#553—794no—
1379#553—794no—
1380#553—794no—
1381#553—794no—
1382#553—792no—
1383#553—792no—
1384#552—794no—
1385#552—794no—
1386#552—792no—
1387#552—792no—
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#551C2×D7914yescomplemented
1402#551C2×D7914yescomplemented
1403#550—792no—
1404D4×Q8—792no—
1405D4×Q8—794no—
1406D4×Q8—792no—
1407#548—792no—
1408#548—792no—
1409#548—792no—
1410#548—792no—
1411#548—794no—
1412#548—794no—
1413#548—794no—
1414#547—792no—
1415#547—794no—
1416#547—794no—
1417#547—794no—
1418#547—792no—
1419#547—792no—
1420#546—792no—
1421#546—792no—
1422#546—792no—
1423#546—792no—
1424#546—794no—
1425#546—794no—
1426#546—794no—
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#544—791no—
1437#542—791no—
1438#542—791no—
1439#542—791no—
1440#542—791no—
1441#542—794no—
1442#542—794no—
1443#542—794no—
1444#542—792no—
1445#542—792no—
1446#542—792no—
1447#542—792no—
1448#542—792no—
1449#542—792no—
1450#542—792no—
1451#542—792no—
1452#542—792no—
1453#542—792no—
1454#542—794no—
1455#542—794no—
1456#542—794no—
1457#542—792no—
1458#542—792no—
1459#542—792no—
1460#542—792no—
1461#542—792no—
1462#542—792no—
1463#542C2×D7912yescomplemented
1464#542C2×D7912yescomplemented
1465#541—792no—
1466#541—794no—
1467#541—791no—
1468#541—791no—
1469#541—792no—
1470#541—792no—
1471#540—792no—
1472#540—791no—
1473#540—791no—
1474#540—794no—
1475#540—792no—
1476#540—792no—
1477#539—794no—
1478#539—794no—
1479#539—794no—
1480#539—794no—
1481#539—794no—
1482#539—792no—
1483#539—792no—
1484#538—794no—
1485#538—794no—
1486#538—794no—
1487#538—794no—
1488#538—792no—
1489#538—792no—
1490#538—794no—
1491#537—791no—
1492#537—791no—
1493#537—792no—
1494#537—792no—
1495#536—791no—
1496#536—792no—
1497#536—792no—
1498#536C2×D7911yescharacteristic, complemented
1499#535—791no—
1500#535—792no—
1501#535—792no—
1502#535C2×D7911yescharacteristic
1503#533—792no—
1504#533—792no—
1505#533—792no—
1506#533—792no—
1507#533—794no—
1508#533—792no—
1509#533C2×D7911yescharacteristic, complemented
1510#532—792no—
1511#532—792no—
1512#532—792no—
1513#532—792no—
1514#532—794no—
1515#532—791no—
1516#532—792no—
1517C2×C4⋊Q8—792no—
1518C2×C4⋊Q8—791no—
1519#529—794no—
1520#529—794no—
1521#529—792no—
1522#529—792no—
1523#529—794no—
1524#529—794no—
1525#529—794no—
1526#529—792no—
1527#529—792no—
1528#529—792no—
1529#529—792no—
1530#529—792no—
1531#529—792no—
1532#529—792no—
1533#529—792no—
1534#529—794no—
1535#529—794no—
1536#529—794no—
1537#529—794no—
1538#529C2×D7912yescomplemented
1539#529C2×D7912yescomplemented
1540C2×#126—794no—
1541C2×#126—792no—
1542C2×#124—792no—
1543C2×#124—794no—
1544C2×#124—792no—
1545C2×#124C2×D7911yescharacteristic, complemented
1546#525—792no—
1547#525—792no—
1548#525—794no—
1549#525—794no—
1550#525—791no—
1551#525—791no—
1552#525—794no—
1553C2×#123—794no—
1554C2×#123—792no—
1555C2×C22⋊Q8—791no—
1556C2×C22⋊Q8—792no—
1557C2×C22⋊Q8—794no—
1558C2×C22⋊Q8—792no—
1559C2×#121—791no—
1560C2×#121—792no—
1561#520—791no—
1562#520—791no—
1563#520—792no—
1564#520—792no—
1565#520—792no—
1566#520—792no—
1567#520—791no—
1568#520—791no—
1569#520—792no—
1570#520—792no—
1571#520—791no—
1572#520—791no—
1573#520—791no—
1574#520—791no—
1575#520—794no—
1576#519—791no—
1577#519—791no—
1578#519—792no—
1579#519—792no—
1580#519C2×D7911yescharacteristic, complemented
1581#518—792no—
1582#518—791no—
1583#518—792no—
1584#518—791no—
1585#518—792no—
1586#518—792no—
1587#518—794no—
1588#518C2×D7911yescharacteristic, complemented
1589C4×#41—791no—
1590C4×#41—792no—
1591C4×#41—792no—
1592C4×#41—792no—
1593C4×#41—792no—
1594C4×#41—791no—
1595C4×#41—792no—
1596C4×#41—791no—
1597C4×#41—791no—
1598C4×#41—794no—
1599C4×#41—792no—
1600C4×#41—791no—
1601C4×#41C2×D7911yescharacteristic, complemented
1602C2×C4×Q8—791no—
1603C2×C4×Q8—792no—
1604C2×C4×Q8—792no—
1605C2×C4×D4—791no—
1606C2×C4×D4—792no—
1607C2×C4×D4—792no—
1608C2×C4×D4—794no—
1609C2×#117—792no—
1610C2×#117—791no—
1611C2×#117—791no—
1612C2×#117—792no—
16132−1+4—1588no—
1614H(5,𝔽2)—1588no—
1615C2×#41—792no—
1616C2×#41—792no—
1617C2×#41—791no—
1618C2×#41—794no—
1619C2×#41—792no—
1620C2×#41—792no—
1621C2×#41—792no—
1622C2×#41—791no—
1623C2×#41—791no—
1624C2×#41—794no—
1625C2×#41—794no—
1626C2×#41—792no—
1627C2×#41—791no—
1628C2×#41—791no—
1629C2×#41—794no—
1630C2×#41—1588no—
1631C2×#41C22×D7911yescharacteristic
1632C22×Q8—794no—
1633C22×Q8—792no—
1634C22×Q8—792no—
1635C22×Q8—791no—
1636C22×Q8—792no—
1637C22×Q8C22×D7911yescharacteristic
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—792no—
1647C23×C4—794no—
1648C23×C4—792no—
1649C23×C4—791no—
1650C4⋊Q8—794no—
1651C4⋊Q8—792no—
1652C4⋊Q8—792no—
1653C4⋊Q8—792no—
1654C4⋊Q8—794no—
1655C4⋊Q8—794no—
1656C4⋊Q8—794no—
1657C4⋊Q8—794no—
1658C4⋊Q8—792no—
1659C4⋊Q8—792no—
1660C4⋊Q8—792no—
1661C4⋊Q8—792no—
1662C4⋊Q8—791no—
1663C4⋊Q8—792no—
1664C4⋊Q8—792no—
1665C4⋊Q8C22×D7911yescharacteristic
1666C4⋊Q8C22×D7911yescharacteristic
1667C4⋊Q8C22×D7912yes—
1668#127—792no—
1669#127—794no—
1670#127—791no—
1671#127C22×D7912yes—
1672#126—792no—
1673#126—794no—
1674#126—794no—
1675#126—792no—
1676#126—792no—
1677#126—792no—
1678#126—792no—
1679#126—792no—
1680#126—794no—
1681#126—794no—
1682#126—794no—
1683#126—792no—
1684#126—792no—
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#126C22×D7914yes—
1699#126C22×D7914yes—
1700#126C22×D7914yes—
1701#126C22×D7914yes—
1702#125—794no—
1703#125—792no—
1704#125—792no—
1705#125—792no—
1706#125—792no—
1707#125—794no—
1708#125—794no—
1709#125—792no—
1710#125—792no—
1711#125—794no—
1712#125—794no—
1713#125—794no—
1714#125—794no—
1715#125—794no—
1716#125—792no—
1717#125—792no—
1718#125—794no—
1719#125C22×D7911yescharacteristic
1720#125C22×D7911yescharacteristic
1721#124—792no—
1722#124—792no—
1723#124—792no—
1724#124—792no—
1725#124—792no—
1726#124—792no—
1727#124—794no—
1728#124—794no—
1729#124—794no—
1730#124—794no—
1731#124—794no—
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—791no—
1743#124—794no—
1744#124—791no—
1745#124—794no—
1746#124C22×D7912yes—
1747#124C22×D7914yes—
1748#124C22×D7912yes—
1749#124C22×D7912yes—
1750#124C22×D7912yes—
1751#124C22×D7912yes—
1752#124C22×D7912yes—
1753#124C22×D7914yes—
1754#123—794no—
1755#123—794no—
1756#123—794no—
1757#123—794no—
1758#123—794no—
1759#123—792no—
1760#123—794no—
1761#123—792no—
1762#123—794no—
1763#123—792no—
1764#123—792no—
1765#123—794no—
1766#123—794no—
1767#123—792no—
1768#123—792no—
1769#123—792no—
1770#123—792no—
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—792no—
1780#123—792no—
1781#123—794no—
1782#123—794no—
1783#123—794no—
1784#123—794no—
1785#123—794no—
1786#123—794no—
1787#123—794no—
1788#123—794no—
1789#123C22×D7914yes—
1790#123C22×D7914yes—
1791#123C22×D7914yes—
1792#123C22×D7914yes—
1793#123C22×D7914yes—
1794C22⋊Q8—792no—
1795C22⋊Q8—792no—
1796C22⋊Q8—792no—
1797C22⋊Q8—792no—
1798C22⋊Q8—792no—
1799C22⋊Q8—792no—
1800C22⋊Q8—792no—
1801C22⋊Q8—792no—
1802C22⋊Q8—792no—
1803C22⋊Q8—792no—
1804C22⋊Q8—792no—
1805C22⋊Q8—792no—
1806C22⋊Q8—794no—
1807C22⋊Q8—792no—
1808C22⋊Q8—794no—
1809C22⋊Q8—792no—
1810C22⋊Q8—794no—
1811C22⋊Q8—791no—
1812C22⋊Q8—794no—
1813C22⋊Q8—794no—
1814C22⋊Q8—794no—
1815C22⋊Q8—794no—
1816C22⋊Q8—791no—
1817C22⋊Q8—791no—
1818C22⋊Q8—791no—
1819C22⋊Q8—794no—
1820C22⋊Q8—794no—
1821C22⋊Q8—794no—
1822C22⋊Q8—794no—
1823C22⋊Q8—794no—
1824C22⋊Q8—794no—
1825C22⋊Q8—794no—
1826C22⋊Q8—794no—
1827C22⋊Q8—794no—
1828C22⋊Q8—794no—
1829C22⋊Q8—794no—
1830C22⋊Q8—794no—
1831C22⋊Q8—794no—
1832C22⋊Q8—794no—
1833C22⋊Q8—794no—
1834C22⋊Q8—794no—
1835C22⋊Q8—794no—
1836C22⋊Q8—794no—
1837C22⋊Q8—794no—
1838C22⋊Q8—794no—
1839C22⋊Q8C22×D7912yes—
1840C22⋊Q8C22×D7914yes—
1841C22⋊Q8C22×D7912yes—
1842C22⋊Q8C22×D7914yes—
1843C22⋊Q8C22×D7912yes—
1844C22⋊Q8C22×D7912yes—
1845#121—792no—
1846#121—792no—
1847#121—792no—
1848#121—792no—
1849#121—794no—
1850#121—794no—
1851#121—794no—
1852#121—794no—
1853#121—792no—
1854#121—794no—
1855#121—794no—
1856#121—792no—
1857#121—794no—
1858#121—792no—
1859#121—792no—
1860#121—794no—
1861#121—792no—
1862#121—792no—
1863#121—794no—
1864#121—792no—
1865#121—792no—
1866#121—794no—
1867#121—791no—
1868#121—791no—
1869#121—792no—
1870#121—791no—
1871#121—791no—
1872#121—794no—
1873#121—792no—
1874#121—792no—
1875#121—792no—
1876#121—794no—
1877#121—794no—
1878#121—794no—
1879#121—794no—
1880#121—794no—
1881#121—794no—
1882#121—794no—
1883#121—794no—
1884#121—794no—
1885#121—794no—
1886#121C22×D7912yes—
1887#121C22×D7912yes—
1888#120—794no—
1889#120—794no—
1890#120—794no—
1891#120—794no—
1892#120—794no—
1893#120—794no—
1894#120—792no—
1895#120—794no—
1896#120—792no—
1897#120C22×D7914yes—
1898C4×Q8—792no—
1899C4×Q8—792no—
1900C4×Q8—792no—
1901C4×Q8—792no—
1902C4×Q8—791no—
1903C4×Q8—791no—
1904C4×Q8—794no—
1905C4×Q8—791no—
1906C4×Q8—794no—
1907C4×Q8—791no—
1908C4×Q8—791no—
1909C4×Q8—791no—
1910C4×Q8—791no—
1911C4×Q8—794no—
1912C4×Q8—792no—
1913C4×Q8—792no—
1914C4×Q8—791no—
1915C4×Q8—794no—
1916C4×Q8—794no—
1917C4×Q8—794no—
1918C4×Q8—792no—
1919C4×Q8—792no—
1920C4×Q8—794no—
1921C4×Q8—792no—
1922C4×Q8—792no—
1923C4×Q8—791no—
1924C4×Q8—791no—
1925C4×Q8—792no—
1926C4×Q8—792no—
1927C4×Q8—794no—
1928C4×Q8—794no—
1929C4×Q8C22×D7912yes—
1930C4×Q8C22×D7912yes—
1931C4×Q8C22×D7912yes—
1932C4×Q8C22×D7912yes—
1933C4×Q8C22×D7911yescharacteristic
1934C4×Q8C22×D7911yescharacteristic
1935C4×Q8C22×D7912yes—
1936C4×Q8C22×D7912yes—
1937C4×D4—792no—
1938C4×D4—792no—
1939C4×D4—792no—
1940C4×D4—792no—
1941C4×D4—792no—
1942C4×D4—792no—
1943C4×D4—791no—
1944C4×D4—791no—
1945C4×D4—794no—
1946C4×D4—794no—
1947C4×D4—794no—
1948C4×D4—794no—
1949C4×D4—794no—
1950C4×D4—794no—
1951C4×D4—792no—
1952C4×D4—792no—
1953C4×D4—792no—
1954C4×D4—792no—
1955C4×D4—792no—
1956C4×D4—792no—
1957C4×D4—794no—
1958C4×D4—794no—
1959C4×D4—791no—
1960C4×D4—791no—
1961C4×D4—791no—
1962C4×D4—794no—
1963C4×D4—791no—
1964C4×D4—791no—
1965C4×D4—792no—
1966C4×D4—792no—
1967C4×D4—791no—
1968C4×D4—794no—
1969C4×D4—794no—
1970C4×D4—792no—
1971C4×D4—794no—
1972C4×D4—792no—
1973C4×D4—794no—
1974C4×D4—794no—
1975C4×D4—794no—
1976C4×D4—794no—
1977C4×D4—794no—
1978C4×D4—792no—
1979C4×D4—792no—
1980C4×D4—792no—
1981C4×D4—792no—
1982C4×D4—792no—
1983C4×D4—792no—
1984C4×D4—792no—
1985C4×D4—792no—
1986C4×D4—794no—
1987C4×D4—794no—
1988C4×D4—794no—
1989C4×D4—794no—
1990C4×D4—794no—
1991C4×D4—794no—
1992C4×D4—794no—
1993C4×D4—794no—
1994C4×D4—792no—
1995C4×D4—792no—
1996C4×D4—792no—
1997C4×D4—792no—
1998C4×D4—791no—
1999C4×D4—791no—
2000C4×D4—794no—
2001C4×D4—792no—
2002C4×D4—792no—
2003C4×D4—794no—
2004C4×D4—792no—
2005C4×D4—792no—
2006C4×D4—792no—
2007C4×D4—792no—
2008C4×D4—794no—
2009C4×D4—794no—
2010C4×D4—792no—
2011C4×D4—792no—
2012C4×D4C22×D7912yes—
2013C4×D4C22×D7912yes—
2014C4×D4C22×D7912yes—
2015C4×D4C22×D7912yes—
2016C4×D4C22×D7911yescharacteristic
2017C4×D4C22×D7912yes—
2018C4×D4C22×D7912yes—
2019C4×D4C22×D7911yescharacteristic
2020C4×D4C22×D7914yes—
2021C4×D4C22×D7914yes—
2022#117—791no—
2023#117—792no—
2024#117—794no—
2025#117—794no—
2026#117—792no—
2027#117—792no—
2028#117—791no—
2029#117—791no—
2030#117—792no—
2031#117—792no—
2032#117—792no—
2033#117—794no—
2034#117—794no—
2035#117—792no—
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—791no—
2045#117—792no—
2046#117—791no—
2047#117—792no—
2048#117—792no—
2049#117—791no—
2050#117—791no—
2051#117—791no—
2052#117—791no—
2053#117—792no—
2054#117—792no—
2055#117—791no—
2056#117—791no—
2057#117—792no—
2058#117—792no—
2059#117—792no—
2060#117—792no—
2061#117—794no—
2062#117—794no—
2063#117—794no—
2064#117—794no—
2065#117C22×D7911yescharacteristic
2066#117C22×D7912yes—
2067#117C22×D7911yescharacteristic
2068#117C22×D7911yescharacteristic
2069#117C22×D7914yes—
2070#117C22×D7914yes—
2071#117C22×D7914yes—
2072C2×C4⋊C4—791no—
2073C2×C4⋊C4—791no—
2074C2×C4⋊C4—792no—
2075C2×C4⋊C4—792no—
2076C2×C4⋊C4—791no—
2077C2×C4⋊C4—794no—
2078C2×C4⋊C4—791no—
2079C2×C4⋊C4—792no—
2080C2×C4⋊C4—792no—
2081C2×C4⋊C4—792no—
2082C2×C4⋊C4—792no—
2083C2×C4⋊C4—792no—
2084C2×C4⋊C4—791no—
2085C2×C4⋊C4—791no—
2086C2×C4⋊C4—792no—
2087C2×C4⋊C4—792no—
2088C2×C4⋊C4—792no—
2089C2×C4⋊C4—794no—
2090C2×C4⋊C4—794no—
2091C2×C4⋊C4—792no—
2092C2×C4⋊C4—794no—
2093C2×C4⋊C4—794no—
2094C2×C22⋊C4—792no—
2095C2×C22⋊C4—792no—
2096C2×C22⋊C4—791no—
2097C2×C22⋊C4—791no—
2098C2×C22⋊C4—792no—
2099C2×C22⋊C4—792no—
2100C2×C22⋊C4—794no—
2101C2×C22⋊C4—792no—
2102C2×C22⋊C4—792no—
2103C2×C22⋊C4—792no—
2104C2×C22⋊C4—792no—
2105C2×C22⋊C4—794no—
2106C2×C22⋊C4—794no—
2107C2×C22⋊C4—794no—
2108C2×C22⋊C4—794no—
2109C2×C22⋊C4—794no—
2110C2×C22⋊C4—794no—
2111C2×C22⋊C4C22×D7914yes—
2112C2×C22⋊C4C22×D7912yes—
2113C2×C22⋊C4C22×D7912yes—
2114C2×C42—791no—
2115C2×C42—792no—
2116C2×C42—794no—
2117C2×C42—792no—
2118C2×C42—792no—
2119C2×C42—792no—
2120C2×C42—792no—
2121C2×C42—792no—
2122C2×C42—794no—
2123C2×C42—792no—
2124C2×C42—794no—
2125C2×C42C22×D7911yescharacteristic
2126C2×C42C22×D7912yes—
2127C24—794no—
2128C24—792no—
2129C24—791no—
2130C24C23×D7912yes—
2131#41—24no—
2132#41—798no—
2133#41—6324no—
2134#41—6324no—
2135#41—6324no—
2136#41—1588no—
2137#41—15816no—
2138#41—1588no—
2139#41—1588no—
2140#41—1588no—
2141#41—1584no—
2142#41—1588no—
2143#41—1584no—
2144#41—1588no—
2145#41—1584no—
2146#41—1584no—
2147C2×Q8—24no—
2148C2×Q8—794no—
2149C2×Q8—794no—
2150C2×Q8—794no—
2151C2×Q8—794no—
2152C2×Q8—791no—
2153C2×Q8—794no—
2154C2×Q8—791no—
2155C2×Q8—792no—
2156C2×Q8—791no—
2157C2×Q8—6322no—
2158C2×Q8—6324no—
2159C2×Q8—1588no—
2160C2×Q8—1584no—
2161C2×Q8—1588no—
2162C2×Q8C23×D7912yes—
2163C2×Q8C23×D7911yescharacteristic
2164C2×Q8C23×D7912yes—
2165C2×Q8C23×D7912yes—
2166C2×Q8C23×D7912yes—
2167C2×D4—24no—
2168C2×D4—794no—
2169C2×D4—794no—
2170C2×D4—794no—
2171C2×D4—794no—
2172C2×D4—794no—
2173C2×D4—794no—
2174C2×D4—792no—
2175C2×D4—792no—
2176C2×D4—792no—
2177C2×D4—794no—
2178C2×D4—792no—
2179C2×D4—794no—
2180C2×D4—792no—
2181C2×D4—792no—
2182C2×D4—792no—
2183C2×D4—792no—
2184C2×D4—792no—
2185C2×D4—792no—
2186C2×D4—792no—
2187C2×D4—791no—
2188C2×D4—794no—
2189C2×D4—792no—
2190C2×D4—791no—
2191C2×D4—791no—
2192C2×D4—6324no—
2193C2×D4—6322no—
2194C2×D4—1588no—
2195C2×D4—1588no—
2196C2×D4—1584no—
2197C2×D4—1588no—
2198C2×D4—15816no—
2199C2×D4C23×D7912yes—
2200C2×D4C23×D7912yes—
2201C2×D4C23×D7911yescharacteristic
2202C2×D4C23×D7912yes—
2203C2×D4C23×D7914yes—
2204C2×D4C23×D7914yes—
2205C22×C4—791no—
2206C22×C4—791no—
2207C22×C4—792no—
2208C22×C4—792no—
2209C22×C4—792no—
2210C22×C4—794no—
2211C22×C4—792no—
2212C22×C4—794no—
2213C22×C4—792no—
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—792no—
2225C22×C4—794no—
2226C22×C4—794no—
2227C22×C4—792no—
2228C22×C4—794no—
2229C22×C4—791no—
2230C22×C4—792no—
2231C22×C4—791no—
2232C22×C4—794no—
2233C22×C4—794no—
2234C22×C4—792no—
2235C22×C4—792no—
2236C22×C4—792no—
2237C22×C4—791no—
2238C22×C4—792no—
2239C22×C4—791no—
2240C22×C4—791no—
2241C22×C4—6324no—
2242C22×C4—6322no—
2243C22×C4—1588no—
2244C22×C4—1584no—
2245C22×C4C23×D7912yes—
2246C22×C4C23×D7912yes—
2247C22×C4C23×D7914yes—
2248C22×C4C23×D7911yescharacteristic
2249C22×C4C23×D7911yescharacteristic
2250C22×C4C23×D7912yes—
2251C22×C4C23×D7912yes—
2252C22×C4C23×D7914yes—
2253C22×C4C23×D7911yescharacteristic
2254C4⋊C4—792no—
2255C4⋊C4—791no—
2256C4⋊C4—791no—
2257C4⋊C4—792no—
2258C4⋊C4—791no—
2259C4⋊C4—791no—
2260C4⋊C4—792no—
2261C4⋊C4—794no—
2262C4⋊C4—792no—
2263C4⋊C4—794no—
2264C4⋊C4—794no—
2265C4⋊C4—792no—
2266C4⋊C4—794no—
2267C4⋊C4—794no—
2268C4⋊C4—792no—
2269C4⋊C4—792no—
2270C4⋊C4—792no—
2271C4⋊C4—791no—
2272C4⋊C4—791no—
2273C4⋊C4—791no—
2274C4⋊C4—791no—
2275C4⋊C4—794no—
2276C4⋊C4—794no—
2277C4⋊C4—794no—
2278C4⋊C4—794no—
2279C4⋊C4—792no—
2280C4⋊C4—792no—
2281C4⋊C4—794no—
2282C4⋊C4—794no—
2283C4⋊C4—794no—
2284C4⋊C4—794no—
2285C4⋊C4—794no—
2286C4⋊C4—792no—
2287C4⋊C4—792no—
2288C4⋊C4—792no—
2289C4⋊C4—792no—
2290C4⋊C4—794no—
2291C4⋊C4—794no—
2292C4⋊C4—792no—
2293C4⋊C4—794no—
2294C4⋊C4—791no—
2295C4⋊C4—791no—
2296C4⋊C4—792no—
2297C4⋊C4—792no—
2298C4⋊C4—794no—
2299C4⋊C4—792no—
2300C4⋊C4—792no—
2301C4⋊C4—794no—
2302C4⋊C4—792no—
2303C4⋊C4—794no—
2304C4⋊C4—792no—
2305C4⋊C4—792no—
2306C4⋊C4C23×D7911yescharacteristic
2307C4⋊C4C23×D7911yescharacteristic
2308C4⋊C4C23×D7911yescharacteristic
2309C4⋊C4C23×D7914yes—
2310C4⋊C4C23×D7912yes—
2311C4⋊C4C23×D7911yescharacteristic
2312C4⋊C4C23×D7912yes—
2313C4⋊C4C23×D7912yes—
2314C4⋊C4C23×D7914yes—
2315C4⋊C4C23×D7911yescharacteristic
2316C4⋊C4C23×D7911yescharacteristic
2317C4⋊C4C23×D7914yes—
2318C4⋊C4C23×D7914yes—
2319C4⋊C4C23×D7912yes—
2320C4⋊C4C23×D7912yes—
2321C4⋊C4C23×D7912yes—
2322C4⋊C4C23×D7912yes—
2323C4⋊C4C23×D7912yes—
2324C22⋊C4—794no—
2325C22⋊C4—794no—
2326C22⋊C4—794no—
2327C22⋊C4—792no—
2328C22⋊C4—792no—
2329C22⋊C4—792no—
2330C22⋊C4—794no—
2331C22⋊C4—794no—
2332C22⋊C4—794no—
2333C22⋊C4—794no—
2334C22⋊C4—794no—
2335C22⋊C4—792no—
2336C22⋊C4—792no—
2337C22⋊C4—791no—
2338C22⋊C4—792no—
2339C22⋊C4—791no—
2340C22⋊C4—792no—
2341C22⋊C4—791no—
2342C22⋊C4—791no—
2343C22⋊C4—794no—
2344C22⋊C4—792no—
2345C22⋊C4—792no—
2346C22⋊C4—794no—
2347C22⋊C4—792no—
2348C22⋊C4—794no—
2349C22⋊C4—792no—
2350C22⋊C4—792no—
2351C22⋊C4—792no—
2352C22⋊C4—792no—
2353C22⋊C4—792no—
2354C22⋊C4—791no—
2355C22⋊C4—791no—
2356C22⋊C4—791no—
2357C22⋊C4—791no—
2358C22⋊C4—794no—
2359C22⋊C4—794no—
2360C22⋊C4—794no—
2361C22⋊C4—794no—
2362C22⋊C4—794no—
2363C22⋊C4—792no—
2364C22⋊C4—792no—
2365C22⋊C4—794no—
2366C22⋊C4—792no—
2367C22⋊C4—792no—
2368C22⋊C4—792no—
2369C22⋊C4—792no—
2370C22⋊C4—792no—
2371C22⋊C4—794no—
2372C22⋊C4—792no—
2373C22⋊C4—792no—
2374C22⋊C4—792no—
2375C22⋊C4C23×D7912yes—
2376C22⋊C4C23×D7914yes—
2377C22⋊C4C23×D7914yes—
2378C22⋊C4C23×D7914yes—
2379C22⋊C4C23×D7914yes—
2380C22⋊C4C23×D7912yes—
2381C22⋊C4C23×D7912yes—
2382C22⋊C4C23×D7914yes—
2383C22⋊C4C23×D7914yes—
2384C22⋊C4C23×D7912yes—
2385C22⋊C4C23×D7914yes—
2386C22⋊C4C23×D7914yes—
2387C22⋊C4C23×D7914yes—
2388C22⋊C4C23×D7912yes—
2389C22⋊C4C23×D7914yes—
2390C42—792no—
2391C42—792no—
2392C42—791no—
2393C42—791no—
2394C42—791no—
2395C42—791no—
2396C42—792no—
2397C42—792no—
2398C42—792no—
2399C42—794no—
2400C42—792no—
2401C42—792no—
2402C42—792no—
2403C42—792no—
2404C42—794no—
2405C42—792no—
2406C42—794no—
2407C42—794no—
2408C42—792no—
2409C42—794no—
2410C42—792no—
2411C42—792no—
2412C42—794no—
2413C42C23×D7912yes—
2414C42C23×D7911yescharacteristic
2415C42C23×D7914yes—
2416C42C23×D7914yes—
2417C42C23×D7912yes—
2418C42C23×D7912yes—
2419C42C23×D7911yescharacteristic
2420C42C23×D7912yes—
2421C42C23×D7912yes—
2422C42C23×D7911yescharacteristic
2423C42C23×D7911yescharacteristic
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—792no—
2438C23—1584no—
2439C23—1588no—
2440C23—1582no—
2441C23C24×D7914yes—
2442C23C24×D7912yes—
2443C23C24×D7911yescharacteristic
2444Q8—24no—
2445Q8—24no—
2446Q8—22no—
2447Q8—42no—
2448Q8—42no—
2449Q8—3164no—
2450Q8—3164no—
2451Q8—3164no—
2452Q8—3164no—
2453Q8—794no—
2454Q8—1588no—
2455Q8—1584no—
2456Q8—1582no—
2457Q8—1582no—
2458D4—24no—
2459D4—24no—
2460D4—24no—
2461D4—22no—
2462D4—44no—
2463D4—44no—
2464D4—3162no—
2465D4—3162no—
2466D4—3162no—
2467D4—3162no—
2468D4—3162no—
2469D4—3162no—
2470D4—3164no—
2471D4—3164no—
2472D4—3164no—
2473D4—3164no—
2474D4—3164no—
2475D4—3164no—
2476D4—798no—
2477D4—794no—
2478D4—1584no—
2479D4—1588no—
2480D4—1588no—
2481D4—1584no—
2482D4—1588no—
2483D4—1584no—
2484D4—1584no—
2485D4—1584no—
2486D4—1582no—
2487D4—1582no—
2488C2×C4—24no—
2489C2×C4—24no—
2490C2×C4—44no—
2491C2×C4—42no—
2492C2×C4—44no—
2493C2×C4—41no—
2494C2×C4—41no—
2495C2×C4—42no—
2496C2×C4—3162no—
2497C2×C4—3162no—
2498C2×C4—3164no—
2499C2×C4—3164no—
2500C2×C4—3164no—
2501C2×C4—3162no—
2502C2×C4—3164no—
2503C2×C4—3162no—
2504C2×C4—3162no—
2505C2×C4—3162no—
2506C2×C4—3162no—
2507C2×C4—3162no—
2508C2×C4—3162no—
2509C2×C4—3162no—
2510C2×C4—3161no—
2511C2×C4—3164no—
2512C2×C4—3162no—
2513C2×C4—3164no—
2514C2×C4—3162no—
2515C2×C4—3162no—
2516C2×C4—3161no—
2517C2×C4—3162no—
2518C2×C4—792no—
2519C2×C4—798no—
2520C2×C4—791no—
2521C2×C4—791no—
2522C2×C4—791no—
2523C2×C4—791no—
2524C2×C4—792no—
2525C2×C4—792no—
2526C2×C4—791no—
2527C2×C4—792no—
2528C2×C4—792no—
2529C2×C4—794no—
2530C2×C4—794no—
2531C2×C4—791no—
2532C2×C4—1584no—
2533C2×C4—1588no—
2534C2×C4—1584no—
2535C2×C4—1588no—
2536C2×C4—1584no—
2537C2×C4—1588no—
2538C2×C4—1582no—
2539C2×C4—1582no—
2540C2×C4—1582no—
2541C2×C4—1582no—
2542C2×C4—1582no—
2543C2×C4—1584no—
2544C2×C4—1584no—
2545C2×C4#41×D7914yes—
2546C2×C4C24×D7912yes—
2547C2×C4C24×D7912yes—
2548C2×C4C24×D7912yes—
2549C2×C4C24×D7912yes—
2550C2×C4C24×D7911yescharacteristic
2551C2×C4C24×D7911yescharacteristic
2552C2×C4C24×D7914yes—
2553C2×C4C24×D7912yes—
2554C2×C4C24×D7912yes—
2555C2×C4C24×D7912yes—
2556C2×C4C24×D7911yescharacteristic
2557C2×C4C24×D7911yescharacteristic
2558C2×C4C24×D7911yescharacteristic
2559C2×C4C24×D7911yescharacteristic
2560C22—21no—
2561C22—21no—
2562C22—22no—
2563C22—24no—
2564C22—24no—
2565C22—22no—
2566C22—22no—
2567C22—24no—
2568C22—84no—
2569C22—794no—
2570C22—6322no—
2571C22—6328no—
2572C22—6324no—
2573C22—1581no—
2574C22—1582no—
2575C22—1581no—
2576C22—1582no—
2577C22—1582no—
2578C22—1582no—
2579C22—1581no—
2580C22—1581no—
2581C22—1581no—
2582C22—1582no—
2583C22—1582no—
2584C22—1581no—
2585C22—1582no—
2586C22—1582no—
2587C22C2×#41×D7912yes—
2588C22C25×D7911yescharacteristic
2589C4—22no—
2590C4—24no—
2591C4—22no—
2592C4—21no—
2593C4—22no—
2594C4—21no—
2595C4—22no—
2596C4—22no—
2597C4—21no—
2598C4—22no—
2599C4—21no—
2600C4—22no—
2601C4—794no—
2602C4—1581no—
2603C4—1582no—
2604C4—1581no—
2605C4—1582no—
2606C4—1581no—
2607C4—1581no—
2608C4—1584no—
2609C4—1584no—
2610C4—1582no—
2611C4—1581no—
2612C4—1581no—
2613C4—1582no—
2614C4C2×#41×D7912yes—
2615C4C2×#41×D7912yes—
2616C2—22no—
2617C2—44no—
2618C2—42no—
2619C2—3161no—
2620C2—3162no—
2621C2—3161no—
2622C2—3162no—
2623C2—1584no—
2624C2C22×#41×D7911yescharacteristic
2625C2#2377821111yescharacteristic
2626C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3510C2
hypercenter#3510D79
hypocenterC79#62857
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3510

Complements

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

NH ≅ G/Ntype
1. #23777504C2semidirect
2. #23777482C2semidirect
3. #23777467C2semidirect
4. #23777461C2semidirect
5. #23777448C2semidirect
6. #23777438C2semidirect
7. #23777414C2semidirect
8. #23777388C2semidirect
9. #23777360C2semidirect
10. #23777350C2semidirect
11. #23777339C2semidirect
12. #23777327C2semidirect
13. #23777311C2semidirect
14. #23777305C2semidirect
15. #23777292C2semidirect
16. #23777212C2semidirect
17. #23777190C2semidirect
18. #23777142C2semidirect
19. #23777140C2semidirect
20. #23777125C2semidirect
21. #23777123C2semidirect
22. #23777078C2semidirect
23. #23777067C2semidirect
24. #23776825C2semidirect
25. #23776824C2semidirect
26. #23776821C2semidirect
27. #23776813C2semidirect
28. #23776792C2semidirect
29. #23776787C2semidirect
30. C2×#19099182C2semidirect
31. #542×D79C2semidirect
32. #23776609C2semidirect
33. #23776604C2semidirect
34. #23776599C2semidirect
35. C79×#3510C2semidirect
39. #19099297C22semidirect
40. #19099295C22semidirect
41. Q8×Dic158C22semidirect
42. #19099291C22semidirect
43. #19099286C22semidirect
44. #19099286C22semidirect
45. #19099284C22semidirect
46. #19099280C22semidirect
47. #19099280C22semidirect
48. #19099280C22semidirect
49. #19099278C22semidirect
50. #19099278C22semidirect
51. #19099276C22semidirect
52. #19099275C22semidirect
53. #19099273C22semidirect
54. #19099273C22semidirect
55. #19099273C22semidirect
56. #19099272C22semidirect
57. #19099271C22semidirect
58. #19099267C22semidirect
59. #19099264C22semidirect
60. #19099264C22semidirect
61. #19099263C22semidirect
62. #19099263C22semidirect
63. #19099262C22semidirect
64. #19099259C22semidirect
65. #19099258C22semidirect
66. #19099254C22semidirect
67. #19099254C22semidirect
68. #19099252C22semidirect
69. #19099250C22semidirect
70. #19099249C22semidirect
71. #19099246C22semidirect
72. #19099246C22semidirect
73. #19099243C22semidirect
74. #19099242C22semidirect
75. #19099240C22semidirect
76. #19099239C22semidirect
77. #19099238C22semidirect
78. #19099238C22semidirect
79. #19099237C22semidirect
80. #19099237C22semidirect
81. #19099236C22semidirect
82. #19099236C22semidirect
84. Q8×D316C22semidirect
85. #19099228C22semidirect
86. #19099226C22semidirect
87. #19099223C22semidirect
88. #19099222C22semidirect
90. #19099221C22semidirect
91. #19099221C22semidirect
92. #19099221C22semidirect
93. #19099221C22semidirect
94. #19099218C22semidirect
95. #19099218C22semidirect
96. #19099216C22semidirect
97. #19099211C22semidirect
98. #19099211C22semidirect
99. #19099211C22semidirect
100. #19099208C22semidirect
102. #19099206C22semidirect
103. #19099206C22semidirect
104. #19099206C22semidirect
105. #19099205C22semidirect
106. #19099205C22semidirect
107. #19099203C22semidirect
108. #19099203C22semidirect
109. #19099203C22semidirect
113. #19099193C22semidirect
114. #19099193C22semidirect
115. #19099191C22semidirect
116. #19099191C22semidirect
117. #19099187C22semidirect
118. #19099187C22semidirect
119. #19099187C22semidirect
120. #19099187C22semidirect
121. #19099186C22semidirect
122. #19099185C22semidirect
123. #19099184C22semidirect
124. #19099184C22semidirect
125. #19099183C22semidirect
126. #19099182C22semidirect
127. #19099182C22semidirect
128. #19099182C22semidirect
129. #19099182C22semidirect
130. #19099182C22semidirect
131. #19099182C22semidirect
132. #19099182C22semidirect
133. #19099182C22semidirect
134. #19099182C22semidirect
135. #19099182C22semidirect
136. #19099181C22semidirect
137. #19099181C22semidirect
138. #19099180C22semidirect
139. #19099179C22semidirect
140. #19099179C22semidirect
141. #19099178C22semidirect
142. #19099177C22semidirect
143. #19099176C22semidirect
144. #19099176C22semidirect
145. #19099174C22semidirect
146. #19099173C22semidirect
147. #19099171C22semidirect
148. #19099170C22semidirect
149. #19099169C22semidirect
150. #19099169C22semidirect
151. #19099167C22semidirect
152. #19099166C22semidirect
153. #19099165C22semidirect
154. #19099164C22semidirect
155. #19099162C22semidirect
156. #19099162C22semidirect
157. #19099159C22semidirect
158. #19099157C22semidirect
159. #19099156C22semidirect
160. #19099154C22semidirect
161. #19099154C22semidirect
162. #19099153C22semidirect
163. #19099153C22semidirect
164. #19099152C22semidirect
165. #19099149C22semidirect
166. #19099149C22semidirect
167. #19099148C22semidirect
168. #19099147C22semidirect
169. #19099143C22semidirect
172. #19099141C22semidirect
173. #19099137C22semidirect
174. #19099136C22semidirect
175. #19099133C22semidirect
176. #19099131C22semidirect
177. #19099130C22semidirect
179. #19099120C22semidirect
180. #19099118C22semidirect
181. #19099118C22semidirect
182. #19099117C22semidirect
183. #19099116C22semidirect
184. #19099115C22semidirect
185. #19099113C22semidirect
186. #19099113C22semidirect
187. #19099112C22semidirect
188. #19099111C22semidirect
189. #19099110C22semidirect
190. #19099110C22semidirect
191. #19099108C22semidirect
192. C2×#14579161C22semidirect
193. C4⋊Q8×D79C22semidirect
194. #19099100C22semidirect
195. #19099100C22semidirect
196. #19099100C22semidirect
197. #19099100C22semidirect
198. #19099100C22semidirect
199. #19099099C22semidirect
200. #19099099C22semidirect
201. #19099096C22semidirect
202. #19099095C22semidirect
203. #19099095C22semidirect
204. #19099094C22semidirect
205. #19099093C22semidirect
206. #19099092C22semidirect
207. #19099092C22semidirect
208. #19099092C22semidirect
209. #19099091C22semidirect
210. #19099091C22semidirect
211. #19099090C22semidirect
212. #19099090C22semidirect
213. C2×#14579154C22semidirect
214. #126×D79C22semidirect
215. C2×#14579147C22semidirect
216. #124×D79C22semidirect
217. #124×D79C22semidirect
218. #19099076C22semidirect
220. #19099075C22semidirect
221. #19099075C22semidirect
223. #19099072C22semidirect
224. #19099069C22semidirect
225. C2×#14579145C22semidirect
226. #123×D79C22semidirect
227. C2×#14579138C22semidirect
228. C2×#14579137C22semidirect
229. C22⋊Q8×D79C22semidirect
230. C22⋊Q8×D79C22semidirect
233. #19099045C22semidirect
234. #19099045C22semidirect
235. #19099045C22semidirect
236. #19099045C22semidirect
239. #19099043C22semidirect
240. #19099043C22semidirect
241. #19099043C22semidirect
242. #19099042C22semidirect
243. #19099042C22semidirect
244. #19099042C22semidirect
245. #19099042C22semidirect
246. #19099042C22semidirect
247. #19099042C22semidirect
248. #19099039C22semidirect
249. #19099039C22semidirect
250. #19099039C22semidirect
251. #19099039C22semidirect
252. #19099036C22semidirect
253. #19099035C22semidirect
254. #19099035C22semidirect
255. #19099035C22semidirect
256. #19099035C22semidirect
257. #19099035C22semidirect
258. #19099035C22semidirect
259. #41×Dic79C22semidirect
260. C4×#11929625C22semidirect
261. C4×#11929625C22semidirect
263. C4×#11929624C22semidirect
265. #19099031C22semidirect
266. #19099031C22semidirect
267. #19099031C22semidirect
268. #19099031C22semidirect
269. C4×#11929623C22semidirect
270. C4×#11929623C22semidirect
271. C2×Q8×Dic79C22semidirect
272. C4×Q8×D79C22semidirect
273. C4×Q8×D79C22semidirect
274. C2×D4×Dic79C22semidirect
275. C2×(C22⋊D79)⋊C4C22semidirect
276. C4×D4×D79C22semidirect
277. C4×D4×D79C22semidirect
278. C2×#14579118C22semidirect
279. C2×#14579118C22semidirect
280. #117×D79C22semidirect
281. #117×D79C22semidirect
282. #559×C79C22semidirect
283. #559×C79C22semidirect
284. #556×C79C22semidirect
285. #556×C79C22semidirect
286. #551×C79C22semidirect
287. #551×C79C22semidirect
288. #542×C79C22semidirect
289. #542×C79C22semidirect
290. #536×C79C22semidirect
292. #533×C79C22semidirect
293. #529×C79C22semidirect
294. #529×C79C22semidirect
295. C2×#124×C79C22semidirect
296. #519×C79C22semidirect
297. #518×C79C22semidirect
298. C4×#41×C79C22semidirect
825. #11929624#41semidirect
1329. #3510D79semidirect
1349. C79#62857semidirect
1355. #559C2×D79semidirect
1356. #559C2×D79semidirect
1365. #556C2×D79semidirect
1366. #556C2×D79semidirect
1401. #551C2×D79semidirect
1402. #551C2×D79semidirect
1463. #542C2×D79semidirect
1464. #542C2×D79semidirect
1498. #536C2×D79semidirect
1509. #533C2×D79semidirect
1538. #529C2×D79semidirect
1539. #529C2×D79semidirect
1545. C2×#124C2×D79semidirect
1580. #519C2×D79semidirect
1588. #518C2×D79semidirect
1601. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237775042
#237774822
#237774672
#237774612
#237774482
#237774382
#237774142
#237773882
#237773602
#237773502
#237773392
#237773272
#237773112
#237773052
#237772922
#237772122
#237771902
#237771422
#237771402
#237771252
#237771232
#237770782
#237770672
#237768252
#237768242
#237768212
#237768132
#237767922
#237767872
C2×#190991822
#542×D792
#237766092
#237766042
#237765992
C79×#35102
#6285779