Finite Group Databasebeta

← #35197188

Subgroups — #35197188

Order 20224.

7148 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#23777964C214yesmaximal, complemented
2#23777925C214yesmaximal, complemented
3#23777870C212yesmaximal, complemented
4#23777863C212yesmaximal, complemented
5#23777812C211yesmaximal, characteristic, complemented
6#23777806C211yesmaximal, characteristic, complemented
7#23777799C211yesmaximal, characteristic, complemented
8#23777793C211yesmaximal, characteristic, complemented
9#23777782C214yesmaximal, complemented
10#23777623C212yesmaximal, complemented
11#23777616C212yesmaximal, complemented
12#23777485C211yesmaximal, characteristic, complemented
13#23777483C211yesmaximal, characteristic, complemented
14#23777477C211yesmaximal, characteristic, complemented
15#23777447C212yesmaximal, complemented
16#23777439C212yesmaximal, complemented
17#23777306C212yesmaximal, complemented
18#23777305C212yesmaximal, complemented
19#23777303C212yesmaximal, complemented
20#23777273C211yesmaximal, characteristic, complemented
21#23777270C211yesmaximal, characteristic, complemented
22#23777256C212yesmaximal, complemented
23#23777248C212yesmaximal, complemented
24#23777218C211yesmaximal, characteristic, complemented
25#23777214C211yesmaximal, characteristic, complemented
26#23777199C212yesmaximal, complemented
27#23777179C212yesmaximal, complemented
28#23777166C212yesmaximal, complemented
29#23777130C212yesmaximal, complemented
30#23777123C212yesmaximal, complemented
31#23777074C214yesmaximal, complemented
32#23776694C211yesmaximal, characteristic, complemented
33C2×#19099117C211yesmaximal, characteristic, complemented
34#532×D79C211yesmaximal, characteristic, complemented
35C79×#3522C211yesmaximal, characteristic, complemented
36C2×#14579208C2214yescomplemented
37C2×#41×D79C2212yes—
38#19099316C2214yescomplemented
39#19099312C2214yescomplemented
40#19099310C2214yescomplemented
41#19099309C2214yescomplemented
42#19099309C2214yescomplemented
43#19099309C2214yescomplemented
44#19099308C2214yescomplemented
45#19099307C2214yescomplemented
46#19099299C2211yescharacteristic, complemented
47#19099298C2211yescharacteristic, complemented
48#19099298C2211yescharacteristic, complemented
49#19099298C2212yescomplemented
50#19099296C2212yescomplemented
51#19099296C2212yescomplemented
52#19099295C2212yescomplemented
53#19099295C2212yescomplemented
54Q8×Dic158C2211yescharacteristic, complemented
55Q8×Dic158C2211yescharacteristic, complemented
56#19099293C2211yescharacteristic, complemented
57#19099290C2212yescomplemented
58#19099289C2212yescomplemented
59#19099285C2212yescomplemented
60#19099285C2212yescomplemented
61#19099282C2212yescomplemented
62#19099282C2212yescomplemented
63#19099281C2214yescomplemented
64#19099280C2214yescomplemented
65#19099276C2214yescomplemented
66#19099275C2214yescomplemented
67#19099275C2214yescomplemented
68#19099274C2212yes—
69#19099274C2211yescharacteristic, complemented
70#19099273C2212yes—
71#19099273C2211yescharacteristic, complemented
72#19099273C2212yescomplemented
73#19099272C2212yescomplemented
74#19099272C2212yescomplemented
75#19099271C2212yes—
76#19099270C2211yescharacteristic, complemented
77#19099269C2212yescomplemented
78#19099269C2212yescomplemented
79#19099268C2212yes—
80#19099268C2214yescomplemented
81#19099267C2214yescomplemented
82#19099267C2214yescomplemented
83#19099264C2214yescomplemented
84#19099262C2214yescomplemented
85#19099262C2214yescomplemented
86#19099262C2214yescomplemented
87#19099258C2214yescomplemented
88#19099256C2214yescomplemented
89#19099249C2214yescomplemented
90#19099246C2214yescomplemented
91#19099243C2214yes—
92#19099242C2214yes—
93#19099238C2214yes—
94#19099237C2214yes—
95#19099235C2211yescharacteristic, complemented
96#19099234C2212yescomplemented
97#19099234C2211yescharacteristic, complemented
98#19099234C2212yescomplemented
99#19099233C2212yescomplemented
100#19099233C2211yescharacteristic, complemented
101#19099233C2212yescomplemented
102D4×Dic158C2212yescomplemented
103D4×Dic158C2212yescomplemented
104D4×Dic158C2212yescomplemented
105#19099228C2214yes—
106#19099228C2212yescomplemented
107#19099228C2212yescomplemented
108#19099228C2212yescomplemented
109#19099226C2214yes—
110#19099226C2214yescomplemented
111#19099224C2212yescomplemented
112#19099223C2214yescomplemented
113#19099222C2214yescomplemented
114#19099222C2214yescomplemented
115#19099222C2212yescomplemented
116#19099222C2214yescomplemented
117#19099221C2214yescomplemented
118#19099221C2214yescomplemented
119#19099219C2212yescomplemented
120#19099217C2212yescomplemented
121#19099215C2212yescomplemented
122#19099214C2212yescomplemented
123#19099214C2214yescomplemented
124#19099214C2214yescomplemented
125#19099214C2212yescomplemented
126#19099213C2212yescomplemented
127#19099213C2212yescomplemented
128#19099212C2212yescomplemented
129#19099212C2214yescomplemented
130#19099212C2214yescomplemented
131#19099211C2214yescomplemented
132#19099211C2214yescomplemented
133#19099211C2214yescomplemented
134#19099211C2214yescomplemented
135#19099210C2212yes—
136#19099208C2214yes—
137#19099208C2212yes—
138#19099206C2212yes—
139#19099205C2214yes—
140#19099205C2214yes—
141#19099202C2214yes—
142#19099202C2214yes—
143#19099201C2214yes—
144#19099201C2212yes—
145#19099193C2212yes—
146#19099192C2214yescomplemented
147#19099190C2212yes—
148#19099190C2214yescomplemented
149#19099188C2214yes—
150#19099188C2214yes—
151#19099187C2212yescomplemented
152#19099187C2212yescomplemented
153#19099185C2212yescomplemented
154#19099185C2212yescomplemented
155#19099185C2212yescomplemented
156#19099185C2214yescomplemented
157#19099184C2212yescomplemented
158#19099183C2214yescomplemented
159#19099182C2212yescomplemented
160#19099182C2212yescomplemented
161#19099179C2214yescomplemented
162#19099178C2212yescomplemented
163#19099178C2212yescomplemented
164#19099178C2212yescomplemented
165#19099177C2214yescomplemented
166#19099177C2214yescomplemented
167#19099169C2212yescomplemented
168#19099167C2212yescomplemented
169#19099165C2214yescomplemented
170#19099164C2212yescomplemented
171#19099164C2212yescomplemented
172#19099163C2214yescomplemented
173#19099160C2214yescomplemented
174#19099159C2214yescomplemented
175#19099157C2214yescomplemented
176#19099156C2214yescomplemented
177#19099155C2214yescomplemented
178#19099155C2214yescomplemented
179#19099149C2214yes—
180#19099147C2214yes—
181#19099144C2212yescomplemented
182#19099143C2212yescomplemented
183#19099143C2214yescomplemented
184#19099142C2212yescomplemented
185#19099141C2212yescomplemented
186#19099141C2214yescomplemented
187#19099140C2214yescomplemented
188#19099140C2214yescomplemented
189#19099140C2214yescomplemented
190#19099138C2214yescomplemented
191#19099136C2214yescomplemented
192#19099135C2214yescomplemented
193#19099135C2214yescomplemented
194#19099135C2214yescomplemented
195#19099131C2212yes—
196#19099126C2212yes—
197#19099119C2211yescharacteristic
198#19099117C2211yescharacteristic
199#19099117C2211yescharacteristic
200#19099117C2212yes—
201#19099117C2212yes—
202#19099117C2211yescharacteristic
203#19099117C2211yescharacteristic
204#19099117C2211yescharacteristic, complemented
205#19099117C2211yescharacteristic, complemented
206#19099117C2211yescharacteristic, complemented
207#19099117C2211yescharacteristic, complemented
208#19099117C2212yescomplemented
209#19099117C2211yescharacteristic, complemented
210#19099117C2212yescomplemented
211#19099117C2212yescomplemented
212#19099115C2212yescomplemented
213#19099115C2211yescharacteristic, complemented
214#19099114C2211yescharacteristic
215#19099113C2211yescharacteristic
216#19099113C2212yescomplemented
217#19099112C2212yes—
218#19099112C2211yescharacteristic
219#19099112C2212yescomplemented
220#19099111C2211yescharacteristic
221#19099110C2212yes—
222#19099110C2212yes—
223#19099110C2211yescharacteristic, complemented
224#19099110C2212yescomplemented
225#19099109C2212yes—
226#19099109C2212yescomplemented
227#19099108C2212yes—
228#19099108C2212yes—
229#19099108C2212yescomplemented
230#19099108C2212yescomplemented
231#19099108C2212yescomplemented
232#19099108C2211yescharacteristic, complemented
233C2×#14579160C2212yescomplemented
234C2×#14579160C2211yescharacteristic, complemented
235C2×#14579159C2211yescharacteristic, complemented
236C4⋊Q8×D79C2211yescharacteristic
237C4⋊Q8×D79C2212yescomplemented
238#127×D79C2211yescharacteristic
239#19099099C2212yescomplemented
240#19099098C2211yescharacteristic, complemented
241#19099097C2212yescomplemented
242#19099097C2211yescharacteristic, complemented
243#19099096C2212yes—
244#19099096C2212yescomplemented
245#19099094C2212yescomplemented
246#19099092C2211yescharacteristic, complemented
247#19099091C2212yes—
248#19099090C2212yescomplemented
249C2×#14579151C2212yescomplemented
250#124×D79C2212yes—
251#19099076C2211yescharacteristic
252#19099073C2211yescharacteristic
253#19099072C2214yes—
254#19099072C2212yes—
255#19099071C2212yes—
256#19099071C2214yes—
257C2×#14579141C2211yescharacteristic
258C2×#14579139C2212yes—
259C2×#14579139C2214yes—
260C2×#14579137C2211yescharacteristic
261C22⋊Q8×D79C2214yes—
262#121×D79C2212yes—
263#121×D79C2212yes—
264#19099045C2212yes—
265#19099045C2212yescomplemented
266#19099043C2212yescomplemented
267#19099042C2212yes—
268#19099042C2212yescomplemented
269#19099042C2214yescomplemented
270#19099035C2212yes—
271#19099035C2212yes—
272C4×#11929625C2211yescharacteristic
273#19099031C2212yescomplemented
274C4×#11929623C2211yescharacteristic
275C4×#11929623C2212yescomplemented
276C2×C4×Dic158C2212yescomplemented
277C2×C4×Dic158C2211yescharacteristic, complemented
278C4×D4×D79C2212yes—
279C4×D4×D79C2212yes—
280C2×#14579118C2212yes—
281C2×C42×D79C2211yescharacteristic
282#559×C79C2211yescharacteristic, complemented
283#559×C79C2212yescomplemented
284Q82×C79C2211yescharacteristic, complemented
285#554×C79C2211yescharacteristic, complemented
286#554×C79C2212yescomplemented
287#550×C79C2211yescharacteristic, complemented
288#548×C79C2212yescomplemented
289#547×C79C2214yescomplemented
290#547×C79C2212yescomplemented
291#542×C79C2212yescomplemented
292#542×C79C2214yescomplemented
293#532×C79C2211yescharacteristic
294#532×C79C2212yescomplemented
295#529×C79C2212yescomplemented
296#529×C79C2211yescharacteristic, complemented
297#520×C79C2212yescomplemented
298C2×C4×Q8×C79C2211yescharacteristic, complemented
299#14579208—416no—
300C2×#11929625C2311yescharacteristic
301C2×#11929625C2312yes—
302C2×#11929625C2312yes—
303C2×#11929624C2314yes—
304C2×#11929624C2314yes—
305C2×#11929624C2314yes—
306C2×#11929624C2312yes—
307C2×#11929624C2312yes—
308C2×#11929624C2312yes—
309C2×#11929624C2314yes—
310C2×#11929623C2312yes—
311C2×#11929623C2314yes—
312C2×#11929623C2311yescharacteristic
313C2×#11929623C2312yes—
314C2×#11929623C2314yes—
315C2×#11929623C2314yes—
316C2×#11929623C2314yes—
317C2×#11929623C2314yes—
318C2×#11929623C2312yes—
319#41×D79—48no—
320C22×Dic158C2312yes—
321C22×Dic158C2314yes—
322C22×Dic158C2314yes—
323C22×Dic158C2311yescharacteristic
324C2×Q8×D79C2314yes—
325C2×Q8×D79C2314yes—
326C2×Q8×D79C2312yes—
327C2×D4×D79C2312yes—
328C2×D4×D79C2314yes—
329C2×D4×D79C2312yes—
330C2×D4×D79C2312yes—
331C22×C4×D79C2311yescharacteristic
332C22×C4×D79C2311yescharacteristic
333C22×C4×D79C2311yescharacteristic
334C22×C4×D79C2314yes—
335#14579161C2312yes—
336#14579161C2312yes—
337#14579161C2311yescharacteristic
338#14579160C2312yes—
339#14579160C2314yes—
340#14579160C2312yes—
341#14579160C2312yes—
342#14579160C2312yes—
343#14579160C2314yes—
344#14579160C2314yes—
345#14579160C2312yes—
346#14579160C2314yes—
347#14579160C2312yes—
348#14579160C2314yes—
349#14579160C2311yescharacteristic
350#14579160C2311yescharacteristic
351#14579160C2311yescharacteristic
352#14579160C2312yes—
353#14579160C2311yescharacteristic
354#14579160C2312yes—
355#14579160C2311yescharacteristic
356#14579160C2311yescharacteristic
357#14579159C2314yes—
358#14579159C2312yes—
359#14579159C2314yes—
360#14579159C2312yes—
361#14579159C2311yescharacteristic
362#14579159C2311yescharacteristic
363#14579159C2312yes—
364#14579159C2311yescharacteristic
365#14579159C2311yescharacteristic
366#14579159C2311yescharacteristic
367#14579158C2312yes—
368#14579158C2311yescharacteristic
369#14579157C2312yes—
370#14579157C2312yes—
371#14579157C2312yes—
372#14579157C2311yescharacteristic
373#14579157C2312yes—
374#14579157C2312yes—
375#14579156C2314yes—
376#14579156C2312yes—
377#14579156C2314yes—
378#14579156C2314yes—
379#14579155C2314yes—
380#14579155C2314yes—
381#14579155C2312yes—
382#14579155C2314yes—
383#14579154C2314yes—
384#14579154C2314yes—
385#14579154C2312yes—
386#14579154C2314yes—
387#14579154C2314yes—
388#14579154C2314yes—
389#14579153C2314yes—
390#14579153C2312yes—
391#14579153C2311yescharacteristic
392#14579152C2314yes—
393#14579152C2312yes—
394#14579152C2312yes—
395#14579151C2312yes—
396#14579151C2314yes—
397#14579151C2312yes—
398#14579151C2314yes—
399#14579151C2312yes—
400#14579151C2312yes—
401#14579151C2314yes—
402#14579151C2314yes—
403#14579151C2312yes—
404#14579151C2312yes—
405#14579151C2312yes—
406#14579151C2312yes—
407#14579151C2312yes—
408#14579151C2312yes—
409#14579150C2314yes—
410#14579150C2314yes—
411#14579150C2312yes—
412#14579150C2312yes—
413#14579150C2312yes—
414#14579149C2314yes—
415#14579149C2312yes—
416#14579149C2312yes—
417#14579149C2314yes—
418#14579149C2312yes—
419#14579149C2311yescharacteristic
420#14579148C2312yes—
421#14579148C2312yes—
422#14579148C2312yes—
423#14579147C2314yes—
424#14579147C2314yes—
425#14579147C2314yes—
426#14579147C2314yes—
427#14579147C2314yes—
428#14579147C2314yes—
429#14579147C2314yes—
430#14579147C2314yes—
431#14579147C2314yes—
432#14579147C2312yes—
433#14579147C2314yes—
434#14579147C2312yes—
435#14579146C2314yes—
436#14579146C2314yes—
437#14579146C2314yes—
438#14579146C2314yes—
439#14579146C2314yes—
440#14579146C2314yes—
441#14579146C2314yes—
442#14579146C2314yes—
443#14579146C2312yes—
444#14579146C2312yes—
445#14579145C2314yes—
446#14579145C2314yes—
447#14579145C2314yes—
448#14579145C2314yes—
449#14579144C2314yes—
450#14579144C2314yes—
451#14579144C2314yes—
452#14579144C2314yes—
453#14579144C2314yes—
454#14579144C2314yes—
455#14579144C2312yes—
456#14579143C2314yes—
457#14579143C2314yes—
458#14579143C2314yes—
459#14579143C2314yes—
460#14579143C2314yes—
461#14579143C2314yes—
462#14579143C2312yes—
463#14579143C2312yes—
464#14579142C2314yes—
465#14579142C2314yes—
466#14579142C2314yes—
467#14579142C2314yes—
468#14579141C2314yes—
469#14579141C2311yescharacteristic
470#14579141C2311yescharacteristic
471#14579141C2314yes—
472#14579141C2312yes—
473#14579141C2312yes—
474#14579141C2311yescharacteristic
475#14579141C2314yes—
476#14579141C2311yescharacteristic
477#14579141C2311yescharacteristic
478#14579141C2312yes—
479#14579140C2314yes—
480#14579140C2314yes—
481#14579140C2314yes—
482#14579140C2314yes—
483#14579140C2312yes—
484#14579140C2314yes—
485#14579140C2311yescharacteristic
486#14579139C2312yes—
487#14579139C2312yes—
488#14579139C2314yes—
489#14579139C2314yes—
490#14579139C2314yes—
491#14579139C2314yes—
492#14579139C2314yes—
493#14579139C2314yes—
494#14579139C2312yes—
495#14579139C2314yes—
496#14579139C2314yes—
497#14579139C2314yes—
498#14579139C2314yes—
499#14579139C2314yes—
500#14579139C2314yes—
501#14579139C2314yes—
502#14579139C2312yes—
503#14579139C2314yes—
504#14579139C2314yes—
505#14579139C2312yes—
506#14579139C2312yes—
507#14579139C2312yes—
508#14579139C2312yes—
509#14579139C2312yes—
510#14579139C2312yes—
511#14579139C2312yes—
512#14579138C2314yes—
513#14579138C2314yes—
514#14579138C2314yes—
515#14579138C2314yes—
516#14579138C2314yes—
517#14579138C2314yes—
518#14579138C2314yes—
519#14579138C2312yes—
520#14579138C2314yes—
521#14579138C2314yes—
522#14579138C2314yes—
523#14579138C2314yes—
524#14579137C2314yes—
525#14579137C2311yescharacteristic
526#14579137C2314yes—
527#14579137C2312yes—
528#14579137C2314yes—
529#14579137C2311yescharacteristic
530#14579137C2314yes—
531#14579137C2312yes—
532#14579137C2314yes—
533#14579137C2311yescharacteristic
534#14579137C2314yes—
535#14579137C2311yescharacteristic
536#14579137C2311yescharacteristic
537#14579137C2312yes—
538#14579136C2314yes—
539#14579136C2314yes—
540#14579136C2312yes—
541#14579136C2314yes—
542#14579136C2312yes—
543#14579136C2311yescharacteristic
544#14579136C2312yes—
545#14579135C2314yes—
546#14579135C2314yes—
547#14579135C2314yes—
548#14579135C2314yes—
549#14579135C2314yes—
550#14579135C2312yes—
551#14579135C2312yes—
552#14579135C2312yes—
553#14579135C2311yescharacteristic
554#14579134C2312yes—
555#14579134C2314yes—
556#14579134C2314yes—
557#14579134C2314yes—
558#14579134C2314yes—
559#14579134C2314yes—
560#14579134C2314yes—
561#14579134C2314yes—
562#14579134C2312yes—
563#14579134C2314yes—
564#14579134C2314yes—
565#14579134C2314yes—
566#14579134C2314yes—
567#14579134C2312yes—
568#14579133C2312yes—
569#14579133C2314yes—
570#14579133C2314yes—
571#14579133C2314yes—
572#14579133C2314yes—
573#14579133C2314yes—
574#14579133C2314yes—
575#14579133C2314yes—
576#14579133C2314yes—
577#14579133C2314yes—
578#14579133C2314yes—
579#14579133C2314yes—
580#14579133C2314yes—
581#14579133C2314yes—
582#14579132C2314yes—
583#14579132C2312yes—
584#14579132C2314yes—
585#14579132C2312yes—
586#14579132C2311yescharacteristic
587#14579132C2312yes—
588#14579131C2314yes—
589#14579131C2314yes—
590#14579131C2312yes—
591#14579129C2314yes—
592#14579129C2314yes—
593#14579129C2312yes—
594Q8×Dic79C2312yes—
595Q8×Dic79C2312yes—
596Q8×Dic79C2311yescharacteristic
597C4×Dic158C2312yes—
598C4×Dic158C2314yes—
599C4×Dic158C2311yescharacteristic
600C4×Dic158C2312yes—
601C4×Dic158C2312yes—
602C4×Dic158C2311yescharacteristic
603C4×Dic158C2312yes—
604C4×Dic158C2312yes—
605C4×Dic158C2312yes—
606C4×Dic158C2312yes—
607C4×Dic158C2312yes—
608C4×Dic158C2312yes—
609C4×Dic158C2312yes—
610C4×Dic158C2312yes—
611C4×Dic158C2312yes—
612C4×Dic158C2311yescharacteristic
613C4×Dic158C2311yescharacteristic
614C4×Dic158C2312yes—
615C4×Dic158C2311yescharacteristic
616#14579126C2314yes—
617#14579126C2312yes—
618#14579126C2312yes—
619#14579126C2312yes—
620#14579126C2312yes—
621#14579126C2312yes—
622#14579126C2311yescharacteristic
623C4×D316C2314yes—
624C4×D316C2312yes—
625C4×D316C2312yes—
626C4×D316C2312yes—
627C4×D316C2312yes—
628C4×D316C2314yes—
629C4×D316C2312yes—
630C4×D316C2312yes—
631C4×D316C2311yescharacteristic
632C4×D316C2312yes—
633D4×Dic79C2314yes—
634D4×Dic79C2312yes—
635D4×Dic79C2312yes—
636D4×Dic79C2312yes—
637D4×Dic79C2312yes—
638D4×Dic79C2312yes—
639D4×Dic79C2312yes—
640D4×Dic79C2311yescharacteristic
641D4×Dic79C2312yes—
642#14579123C2314yes—
643#14579123C2314yes—
644#14579123C2312yes—
645#14579123C2312yes—
646#14579123C2312yes—
647#14579123C2312yes—
648#14579123C2312yes—
649#14579123C2312yes—
650#14579123C2312yes—
651#14579123C2311yescharacteristic
652#14579123C2312yes—
653#14579123C2312yes—
654C4×C22⋊D79C2314yes—
655C4×C22⋊D79C2314yes—
656C4×C22⋊D79C2314yes—
657C4×C22⋊D79C2314yes—
658C4×C22⋊D79C2314yes—
659C4×C22⋊D79C2314yes—
660C4×C22⋊D79C2314yes—
661C4×C22⋊D79C2312yes—
662C4×C22⋊D79C2312yes—
663C4×C22⋊D79C2312yes—
664C4×C22⋊D79C2314yes—
665(C22⋊D79)⋊C4C2314yes—
666(C22⋊D79)⋊C4C2314yes—
667(C22⋊D79)⋊C4C2314yes—
668(C22⋊D79)⋊C4C2314yes—
669(C22⋊D79)⋊C4C2314yes—
670(C22⋊D79)⋊C4C2314yes—
671(C22⋊D79)⋊C4C2314yes—
672(C22⋊D79)⋊C4C2314yes—
673(C22⋊D79)⋊C4C2312yes—
674(C22⋊D79)⋊C4C2312yes—
675(C22⋊D79)⋊C4C2312yes—
676(C22⋊D79)⋊C4C2312yes—
677(C22⋊D79)⋊C4C2314yes—
678(C22⋊D79)⋊C4C2312yes—
679(C22⋊D79)⋊C4C2314yes—
680(C22⋊D79)⋊C4C2312yes—
681(C22⋊D79)⋊C4C2312yes—
682#14579119C2312yes—
683#14579119C2312yes—
684#14579119C2314yes—
685#14579119C2311yescharacteristic
686#14579119C2311yescharacteristic
687#14579118C2314yes—
688#14579118C2312yes—
689#14579118C2312yes—
690#14579118C2312yes—
691#14579118C2312yes—
692#14579118C2314yes—
693#14579118C2312yes—
694#14579118C2314yes—
695#14579118C2312yes—
696#14579118C2312yes—
697#14579118C2312yes—
698#14579118C2312yes—
699#14579118C2312yes—
700#14579117C2312yes—
701#14579117C2312yes—
702#14579117C2314yes—
703#14579117C2314yes—
704#14579117C2314yes—
705#14579117C2312yes—
706C2×C4⋊Dic79C2312yes—
707C2×C4⋊Dic79C2312yes—
708C2×C4⋊Dic79C2311yescharacteristic
709C2×Dic79⋊C4C2312yes—
710C2×Dic79⋊C4C2312yes—
711C2×Dic79⋊C4C2314yes—
712C2×Dic79⋊C4C2314yes—
713C2×Dic79⋊C4C2314yes—
714C2×Dic79⋊C4C2312yes—
715C2×Dic79⋊C4C2312yes—
716C2×Dic79⋊C4C2312yes—
717C4⋊C4×D79C2312yes—
718C4⋊C4×D79C2312yes—
719C4⋊C4×D79C2314yes—
720C4⋊C4×D79C2314yes—
721C4⋊C4×D79C2314yes—
722C4⋊C4×D79C2312yes—
723C4⋊C4×D79C2314yes—
724C4⋊C4×D79C2312yes—
725C2×(C2×D79)⋊C4C2314yes—
726C2×(C2×D79)⋊C4C2314yes—
727C2×(C2×D79)⋊C4C2312yes—
728C2×(C2×D79)⋊C4C2312yes—
729C22⋊C4×D79C2314yes—
730C22⋊C4×D79C2314yes—
731C22⋊C4×D79C2314yes—
732C22⋊C4×D79C2314yes—
733C2×C4×Dic79C2311yescharacteristic
734C2×C4×Dic79C2311yescharacteristic
735C2×C4×Dic79C2311yescharacteristic
736C2×C4×Dic79C2312yes—
737C2×C4×Dic79C2312yes—
738C42×D79C2311yescharacteristic
739C42×D79C2311yescharacteristic
740C42×D79C2311yescharacteristic
741C42×D79C2311yescharacteristic
742C42×D79C2311yescharacteristic
743C42×D79C2311yescharacteristic
744C42×D79C2311yescharacteristic
745C42×D79C2311yescharacteristic
746C42×D79C2312yes—
747C2×#41×C79C2314yes—
748C2×#41×C79C2312yes—
749C2×#41×C79C2312yes—
750C22×Q8×C79C2311yescharacteristic
751C4⋊Q8×C79C2314yes—
752C4⋊Q8×C79C2312yes—
753C4⋊Q8×C79C2312yes—
754C4⋊Q8×C79C2311yescharacteristic
755#127×C79C2312yes—
756#127×C79C2311yescharacteristic
757#126×C79C2312yes—
758#126×C79C2314yes—
759#125×C79C2312yes—
760#125×C79C2311yescharacteristic
761#124×C79C2314yes—
762#124×C79C2312yes—
763#124×C79C2312yes—
764#124×C79C2312yes—
765#124×C79C2314yes—
766#124×C79C2311yescharacteristic
767#123×C79C2314yes—
768#123×C79C2314yes—
769#123×C79C2314yes—
770#123×C79C2314yes—
771#123×C79C2312yes—
772C22⋊Q8×C79C2314yes—
773C22⋊Q8×C79C2314yes—
774C22⋊Q8×C79C2312yes—
775C22⋊Q8×C79C2314yes—
776C22⋊Q8×C79C2314yes—
777C22⋊Q8×C79C2311yescharacteristic
778#121×C79C2314yes—
779#121×C79C2314yes—
780#121×C79C2312yes—
781#121×C79C2312yes—
782#121×C79C2312yes—
783#121×C79C2311yescharacteristic
784C4×Q8×C79C2311yescharacteristic
785C4×Q8×C79C2312yes—
786C4×Q8×C79C2312yes—
787C4×Q8×C79C2312yes—
788C4×Q8×C79C2311yescharacteristic
789C4×Q8×C79C2311yescharacteristic
790C4×Q8×C79C2311yescharacteristic
791C4×Q8×C79C2312yes—
792C4×Q8×C79C2311yescharacteristic
793C4×D4×C79C2314yes—
794C4×D4×C79C2314yes—
795C4×D4×C79C2312yes—
796C4×D4×C79C2312yes—
797C4×D4×C79C2312yes—
798C4×D4×C79C2312yes—
799C4×D4×C79C2312yes—
800C4×D4×C79C2312yes—
801C4×D4×C79C2314yes—
802C4×D4×C79C2311yescharacteristic
803C4×D4×C79C2312yes—
804#117×C79C2312yes—
805#117×C79C2314yes—
806C2×C4⋊C4×C79C2312yes—
807C2×C4⋊C4×C79C2314yes—
808C2×C4⋊C4×C79C2312yes—
809C2×C4⋊C4×C79C2311yescharacteristic
810C2×C42×C79C2311yescharacteristic
811C2×C42×C79C2312yes—
812C23×D79C2411yescharacteristic
813C23×D79C2414yes—
814#11929625—24no—
815#11929625—44no—
816#11929625—44no—
817#11929624—44no—
818#11929624—48no—
819#11929624—48no—
820#11929624—48no—
821#11929624—48no—
822#11929624—44no—
823#11929624—44no—
824#11929623—216no—
825#11929623—28no—
826#11929623—24no—
827#11929623—48no—
828#11929623—48no—
829#11929623—48no—
830#11929623—48no—
831#11929623—44no—
832#11929623—44no—
833C2×Dic158—28no—
834C2×Dic158—42no—
835C2×Dic158—48no—
836C2×Dic158—48no—
837C2×Dic158C2412yes—
838C2×Dic158C2412yes—
839C2×Dic158C2412yes—
840C2×Dic158C2414yes—
841C2×Dic158C2412yes—
842C2×Dic158C2412yes—
843C2×Dic158C2411yescharacteristic
844C2×Dic158C2411yescharacteristic
845C2×Dic158C2411yescharacteristic
846C2×Dic158C2414yes—
847C2×Dic158C2414yes—
848C2×Dic158C2412yes—
849C2×Dic158C2414yes—
850C2×Dic158C2412yes—
851C2×Dic158C2412yes—
852Q8×D79—44no—
853Q8×D79—48no—
854Q8×D79—48no—
855C2×D316C2412yes—
856C2×D316C2412yes—
857C2×D316C2411yescharacteristic
858C2×D316C2412yes—
859C2×D316C2414yes—
860C2×D316C2414yes—
861C2×D316C2412yes—
862C2×D316C2412yes—
863C2×D316C2414yes—
864C2×C22⋊D79C2412yes—
865C2×C22⋊D79C2412yes—
866C2×C22⋊D79C2414yes—
867C2×C22⋊D79C2414yes—
868C2×C22⋊D79C2412yes—
869C2×C22⋊D79C2414yes—
870C2×C22⋊D79C2414yes—
871C2×C22⋊D79C2414yes—
872C2×C22⋊D79C2414yes—
873C2×C22⋊D79C2414yes—
874C2×C22⋊D79C2412yes—
875C2×C22⋊D79C2414yes—
876C2×C22⋊D79C2412yes—
877C2×C22⋊D79C2414yes—
878D4×D79—28no—
879D4×D79—44no—
880D4×D79—48no—
881D4×D79—44no—
882C22×Dic79C2412yes—
883C22×Dic79C2412yes—
884C22×Dic79C2414yes—
885C22×Dic79C2412yes—
886C22×Dic79C2411yescharacteristic
887C22×Dic79C2414yes—
888C22×Dic79C2414yes—
889C22×Dic79C2412yes—
890C22×Dic79C2414yes—
891C22×Dic79C2411yescharacteristic
892C22×Dic79C2411yescharacteristic
893C2×C4×D79—24no—
894C2×C4×D79—24no—
895C2×C4×D79—42no—
896C2×C4×D79—48no—
897C2×C4×D79C2412yes—
898C2×C4×D79C2411yescharacteristic
899C2×C4×D79C2414yes—
900C2×C4×D79C2411yescharacteristic
901C2×C4×D79C2412yes—
902C2×C4×D79C2411yescharacteristic
903C2×C4×D79C2411yescharacteristic
904C2×C4×D79C2412yes—
905C2×C4×D79C2411yescharacteristic
906C2×C4×D79C2411yescharacteristic
907C2×C4×D79C2411yescharacteristic
908C2×C4×D79C2411yescharacteristic
909C2×C4×D79C2411yescharacteristic
910C2×C4×D79C2414yes—
911C2×C4×D79C2414yes—
912C2×C4×D79C2414yes—
913C2×C4×D79C2414yes—
914C2×C4×D79C2414yes—
915C2×C4×D79C2414yes—
916C2×C4×D79C2414yes—
917C2×C4×D79C2414yes—
918C2×C4×D79C2411yescharacteristic
919C2×C4×D79C2411yescharacteristic
920C2×C4×D79C2411yescharacteristic
921C4⋊Dic79C2411yescharacteristic
922C4⋊Dic79C2412yes—
923C4⋊Dic79C2414yes—
924C4⋊Dic79C2412yes—
925C4⋊Dic79C2414yes—
926C4⋊Dic79C2414yes—
927C4⋊Dic79C2414yes—
928C4⋊Dic79C2411yescharacteristic
929C4⋊Dic79C2412yes—
930C4⋊Dic79C2412yes—
931C4⋊Dic79C2412yes—
932C4⋊Dic79C2412yes—
933C4⋊Dic79C2412yes—
934C4⋊Dic79C2411yescharacteristic
935C4⋊Dic79C2411yescharacteristic
936C4⋊Dic79C2412yes—
937C4⋊Dic79C2412yes—
938Dic79⋊C4C2412yes—
939Dic79⋊C4C2412yes—
940Dic79⋊C4C2412yes—
941Dic79⋊C4C2414yes—
942Dic79⋊C4C2412yes—
943Dic79⋊C4C2412yes—
944Dic79⋊C4C2414yes—
945Dic79⋊C4C2414yes—
946Dic79⋊C4C2414yes—
947Dic79⋊C4C2414yes—
948Dic79⋊C4C2412yes—
949Dic79⋊C4C2412yes—
950Dic79⋊C4C2412yes—
951Dic79⋊C4C2412yes—
952Dic79⋊C4C2412yes—
953Dic79⋊C4C2412yes—
954Dic79⋊C4C2412yes—
955Dic79⋊C4C2412yes—
956Dic79⋊C4C2412yes—
957Dic79⋊C4C2412yes—
958Dic79⋊C4C2414yes—
959Dic79⋊C4C2414yes—
960Dic79⋊C4C2414yes—
961Dic79⋊C4C2412yes—
962Dic79⋊C4C2414yes—
963Dic79⋊C4C2414yes—
964Dic79⋊C4C2412yes—
965Dic79⋊C4C2412yes—
966Dic79⋊C4C2412yes—
967Dic79⋊C4C2412yes—
968Dic79⋊C4C2412yes—
969Dic79⋊C4C2412yes—
970Dic79⋊C4C2412yes—
971Dic79⋊C4C2412yes—
972Dic79⋊C4C2412yes—
973Dic79⋊C4C2412yes—
974Dic79⋊C4C2412yes—
975Dic79⋊C4C2412yes—
976Dic79⋊C4C2412yes—
977Dic79⋊C4C2412yes—
978C22⋊Dic79C2414yes—
979C22⋊Dic79C2414yes—
980C22⋊Dic79C2414yes—
981C22⋊Dic79C2414yes—
982C22⋊Dic79C2412yes—
983C22⋊Dic79C2414yes—
984C22⋊Dic79C2414yes—
985C22⋊Dic79C2412yes—
986C22⋊Dic79C2414yes—
987C22⋊Dic79C2412yes—
988(C2×D79)⋊C4C2412yes—
989(C2×D79)⋊C4C2412yes—
990(C2×D79)⋊C4C2412yes—
991(C2×D79)⋊C4C2412yes—
992(C2×D79)⋊C4C2414yes—
993(C2×D79)⋊C4C2414yes—
994(C2×D79)⋊C4C2414yes—
995(C2×D79)⋊C4C2414yes—
996(C2×D79)⋊C4C2412yes—
997(C2×D79)⋊C4C2412yes—
998(C2×D79)⋊C4C2412yes—
999(C2×D79)⋊C4C2412yes—
1000(C2×D79)⋊C4C2412yes—
1001(C2×D79)⋊C4C2412yes—
1002(C2×D79)⋊C4C2414yes—
1003(C2×D79)⋊C4C2414yes—
1004(C2×D79)⋊C4C2414yes—
1005(C2×D79)⋊C4C2414yes—
1006(C2×D79)⋊C4C2412yes—
1007(C2×D79)⋊C4C2414yes—
1008(C2×D79)⋊C4C2412yes—
1009(C2×D79)⋊C4C2412yes—
1010(C2×D79)⋊C4C2412yes—
1011(C2×D79)⋊C4C2414yes—
1012(C2×D79)⋊C4C2414yes—
1013(C2×D79)⋊C4C2414yes—
1014(C2×D79)⋊C4C2414yes—
1015(C2×D79)⋊C4C2412yes—
1016(C2×D79)⋊C4C2412yes—
1017(C2×D79)⋊C4C2414yes—
1018(C2×D79)⋊C4C2412yes—
1019(C2×D79)⋊C4C2412yes—
1020C4×Dic79C2411yescharacteristic
1021C4×Dic79C2411yescharacteristic
1022C4×Dic79C2411yescharacteristic
1023C4×Dic79C2411yescharacteristic
1024C4×Dic79C2411yescharacteristic
1025C4×Dic79C2411yescharacteristic
1026C4×Dic79C2411yescharacteristic
1027C4×Dic79C2411yescharacteristic
1028C4×Dic79C2411yescharacteristic
1029C4×Dic79C2411yescharacteristic
1030C4×Dic79C2411yescharacteristic
1031C4×Dic79C2411yescharacteristic
1032C4×Dic79C2412yes—
1033C4×Dic79C2412yes—
1034C4×Dic79C2412yes—
1035C4×Dic79C2412yes—
1036C4×Dic79C2412yes—
1037C4×Dic79C2412yes—
1038C4×Dic79C2412yes—
1039C4×Dic79C2412yes—
1040C4×Dic79C2412yes—
1041C4×Dic79C2414yes—
1042C4×Dic79C2414yes—
1043C4×Dic79C2414yes—
1044#41×C79—44no—
1045#41×C79—48no—
1046#41×C79—44no—
1047C2×Q8×C79—42no—
1048C2×Q8×C79C2411yescharacteristic
1049C2×Q8×C79C2411yescharacteristic
1050C2×Q8×C79C2411yescharacteristic
1051C2×Q8×C79C2414yes—
1052C2×Q8×C79C2412yes—
1053C2×Q8×C79C2412yes—
1054C2×D4×C79C2412yes—
1055C2×D4×C79C2414yes—
1056C2×D4×C79C2411yescharacteristic
1057C2×D4×C79C2412yes—
1058C2×D4×C79C2412yes—
1059C2×D4×C79C2414yes—
1060C2×D4×C79C2412yes—
1061C2×D4×C79C2414yes—
1062C22×C4×C79C2412yes—
1063C22×C4×C79C2411yescharacteristic
1064C22×C4×C79C2411yescharacteristic
1065C22×C4×C79C2412yes—
1066C22×C4×C79C2411yescharacteristic
1067C22×C4×C79C2414yes—
1068C22×C4×C79C2414yes—
1069C22×C4×C79C2414yes—
1070C22×C4×C79C2412yes—
1071C22×C4×C79C2414yes—
1072C4⋊C4×C79C2411yescharacteristic
1073C4⋊C4×C79C2412yes—
1074C4⋊C4×C79C2412yes—
1075C4⋊C4×C79C2414yes—
1076C4⋊C4×C79C2412yes—
1077C4⋊C4×C79C2414yes—
1078C4⋊C4×C79C2411yescharacteristic
1079C4⋊C4×C79C2412yes—
1080C4⋊C4×C79C2412yes—
1081C4⋊C4×C79C2412yes—
1082C4⋊C4×C79C2412yes—
1083C4⋊C4×C79C2412yes—
1084C4⋊C4×C79C2411yescharacteristic
1085C4⋊C4×C79C2412yes—
1086C4⋊C4×C79C2411yescharacteristic
1087C4⋊C4×C79C2414yes—
1088C4⋊C4×C79C2412yes—
1089C4⋊C4×C79C2414yes—
1090C4⋊C4×C79C2412yes—
1091C22⋊C4×C79C2414yes—
1092C22⋊C4×C79C2412yes—
1093C22⋊C4×C79C2412yes—
1094C22⋊C4×C79C2414yes—
1095C22⋊C4×C79C2412yes—
1096C22⋊C4×C79C2414yes—
1097C22⋊C4×C79C2412yes—
1098C22⋊C4×C79C2414yes—
1099C22⋊C4×C79C2414yes—
1100C22⋊C4×C79C2414yes—
1101C22⋊C4×C79C2414yes—
1102C22⋊C4×C79C2412yes—
1103C42×C79C2411yescharacteristic
1104C42×C79C2412yes—
1105C42×C79C2411yescharacteristic
1106C42×C79C2412yes—
1107C42×C79C2411yescharacteristic
1108C42×C79C2412yes—
1109C42×C79C2411yescharacteristic
1110C42×C79C2412yes—
1111C42×C79C2412yes—
1112C42×C79C2414yes—
1113C23×C79C2514yes—
1114C23×C79C2512yes—
1115C23×C79C2511yescharacteristic
1116C22×D79—22no—
1117C22×D79—22no—
1118C22×D79—28no—
1119C22×D79—41no—
1120C22×D79—44no—
1121C22×D79—44no—
1122C22×D79C2514yes—
1123C22×D79C2511yescharacteristic
1124C22×D79C2512yes—
1125C22×D79C2511yescharacteristic
1126Q8×C79—22no—
1127Q8×C79—22no—
1128Q8×C79—22no—
1129Q8×C79—44no—
1130Q8×C79—42no—
1131Q8×C79—42no—
1132D4×C79—28no—
1133D4×C79—24no—
1134D4×C79—24no—
1135D4×C79—22no—
1136D4×C79—24no—
1137D4×C79—42no—
1138D4×C79—44no—
1139D4×C79—44no—
1140C2×C4×C79—22no—
1141C2×C4×C79—24no—
1142C2×C4×C79—22no—
1143C2×C4×C79—22no—
1144C2×C4×C79—24no—
1145C2×C4×C79—44no—
1146C2×C4×C79—44no—
1147C2×C4×C79—44no—
1148C2×C4×C79—42no—
1149C2×C4×C79—44no—
1150C2×C4×C79C2511yescharacteristic
1151C2×C4×C79C2512yes—
1152C2×C4×C79C2511yescharacteristic
1153C2×C4×C79C2512yes—
1154C2×C4×C79C2512yes—
1155C2×C4×C79C2511yescharacteristic
1156C2×C4×C79C2511yescharacteristic
1157C2×C4×C79C2512yes—
1158C2×C4×C79C2514yes—
1159C2×C4×C79C2512yes—
1160C2×C4×C79C2512yes—
1161C2×C4×C79C2512yes—
1162C2×C4×C79C2511yescharacteristic
1163C2×C4×C79C2511yescharacteristic
1164C22⋊D79—28no—
1165C22⋊D79—24no—
1166C22⋊D79—24no—
1167C22⋊D79—28no—
1168C22⋊D79—24no—
1169C22⋊D79—28no—
1170C22⋊D79—44no—
1171C22⋊D79—44no—
1172C22⋊D79—44no—
1173C22⋊D79—44no—
1174C22⋊D79—44no—
1175C22⋊D79—44no—
1176C22⋊D79—42no—
1177C22⋊D79—42no—
1178C2×Dic79—24no—
1179C2×Dic79—28no—
1180C2×Dic79—24no—
1181C2×Dic79—22no—
1182C2×Dic79—24no—
1183C2×Dic79—41no—
1184C2×Dic79—42no—
1185C2×Dic79—44no—
1186C2×Dic79—44no—
1187C2×Dic79—44no—
1188C2×Dic79H(5,𝔽2)14yes—
1189C2×Dic79C2512yes—
1190C2×Dic79C2511yescharacteristic
1191C2×Dic79C2512yes—
1192C2×Dic79C2512yes—
1193C2×Dic79C2511yescharacteristic
1194C2×Dic79C2511yescharacteristic
1195C2×Dic79C2512yes—
1196C2×Dic79C2512yes—
1197C2×Dic79C2512yes—
1198C2×Dic79C2512yes—
1199C2×Dic79C2514yes—
1200C2×Dic79C2511yescharacteristic
1201C2×Dic79C2511yescharacteristic
1202C2×Dic79C2511yescharacteristic
1203D316—24no—
1204D316—24no—
1205D316—22no—
1206D316—24no—
1207D316—42no—
1208D316—44no—
1209D316—42no—
1210D316—44no—
1211D316—44no—
1212C4×D79—22no—
1213C4×D79—22no—
1214C4×D79—22no—
1215C4×D79—22no—
1216C4×D79—24no—
1217C4×D79—22no—
1218C4×D79—22no—
1219C4×D79—22no—
1220C4×D79—22no—
1221C4×D79—28no—
1222C4×D79—24no—
1223C4×D79—22no—
1224C4×D79—24no—
1225C4×D79—41no—
1226C4×D79—41no—
1227C4×D79—44no—
1228C4×D79—44no—
1229C4×D79—44no—
1230C4×D79—44no—
1231C4×D79—44no—
1232C4×D79—44no—
1233C4×D79—44no—
1234C4×D79—44no—
1235C4×D792−1+414yescomplemented
1236Dic158—22no—
1237Dic158—22no—
1238Dic158—22no—
1239Dic158—24no—
1240Dic158—24no—
1241Dic158—24no—
1242Dic158—28no—
1243Dic158—24no—
1244Dic158—24no—
1245Dic158—44no—
1246Dic158—44no—
1247Dic158—42no—
1248Dic158—44no—
1249Dic158—42no—
1250Dic158—42no—
1251C22×C79—21no—
1252C22×C79—21no—
1253C22×C79—24no—
1254C22×C79—22no—
1255C22×C79—24no—
1256C22×C79—22no—
1257C22×C79—22no—
1258C22×C79—24no—
1259C22×C79C2×H(5,𝔽2)12yes—
1260C22×C79C2611yescharacteristic
1261C2×D79—21no—
1262C2×D79—21no—
1263C2×D79—22no—
1264C2×D79—24no—
1265C2×D79—21no—
1266C2×D79—24no—
1267C2×D79—21no—
1268C2×D79—22no—
1269C2×D79—22no—
1270C2×D79—21no—
1271C2×D79—24no—
1272C2×D79—44no—
1273C2×D79—88no—
1274C2×D79C2×2−1+412yes—
1275C4×C79—22no—
1276C4×C79—21no—
1277C4×C79—22no—
1278C4×C79—21no—
1279C4×C79—22no—
1280C4×C79—24no—
1281C4×C79—21no—
1282C4×C79—22no—
1283C4×C79—22no—
1284C4×C79—21no—
1285C4×C79—22no—
1286C4×C79—22no—
1287C4×C79C2×2−1+412yes—
1288C4×C79#58512yes—
1289Dic79—24no—
1290Dic79—22no—
1291Dic79—22no—
1292Dic79—22no—
1293Dic79—22no—
1294Dic79—21no—
1295Dic79—21no—
1296Dic79—22no—
1297Dic79—22no—
1298Dic79—21no—
1299Dic79—22no—
1300Dic79C2×H(5,𝔽2)12yes—
1301Dic79C2×H(5,𝔽2)12yes—
1302Dic79C2×2−1+412yes—
1303#62835—791nomaximal, Sylow
1304C2×C79—22no—
1305C2×C79—44no—
1306C2×C79—42no—
1307C2×C79C22×H(5,𝔽2)11yescharacteristic
1308C2×C79C22×2−1+411yescharacteristic
1309C2×C79C2×#58511yescharacteristic
1310D79—22no—
1311D79—42no—
1312D79—41no—
1313D79—44no—
1314#3561—794no—
1315#3559—794no—
1316#3554—792no—
1317#3554—792no—
1318#3550—791no—
1319#3550—791no—
1320#3548—791no—
1321#3548—791no—
1322#3547—794no—
1323#3536—792no—
1324#3536—792no—
1325#3522—791no—
1326#3522—791no—
1327#3522—791no—
1328#3522D7911yescharacteristic, complemented
1329#3520—792no—
1330#3520—792no—
1331#3511—792no—
1332#3511—792no—
1333#3511—792no—
1334#3508—791no—
1335#3508—791no—
1336#3507—792no—
1337#3506—792no—
1338#3503—791no—
1339#3503—791no—
1340#3501—792no—
1341#3499—792no—
1342#3497—792no—
1343#3494—792no—
1344#3494—792no—
1345#3489—794no—
1346#3444—791no—
1347C2×#533—791no—
1348C2×#532—791no—
1349C79#6283511yescharacteristic, complemented, Sylow
1350C2×2−1+4—794no—
1351C22×#41—792no—
1352#563—794no—
1353#563—794no—
1354#562—794no—
1355#562—794no—
1356#562—794no—
1357#562—794no—
1358#562—794no—
1359#562—794no—
1360#559—791no—
1361#559—792no—
1362#559—792no—
1363#559—792no—
1364#559—791no—
1365#559—791no—
1366#559—792no—
1367#559—792no—
1368#559C2×D7912yescomplemented
1369#559C2×D7911yescharacteristic, complemented
1370Q82—791no—
1371Q82—791no—
1372Q82—791no—
1373Q82C2×D7911yescharacteristic, complemented
1374#557—792no—
1375#557—792no—
1376#556—794no—
1377#556—792no—
1378#556—792no—
1379#556—792no—
1380#556—792no—
1381#556—794no—
1382#555—794no—
1383#555—794no—
1384#555—794no—
1385#554—792no—
1386#554—791no—
1387#554—792no—
1388#554—792no—
1389#554—794no—
1390#554—794no—
1391#554—792no—
1392#554—792no—
1393#554—792no—
1394#554—791no—
1395#554—791no—
1396#554—792no—
1397#554—792no—
1398#554—792no—
1399#554—794no—
1400#554C2×D7912yescomplemented
1401#554C2×D7911yescharacteristic, complemented
1402#553—794no—
1403#553—794no—
1404#553—794no—
1405#553—794no—
1406#553—794no—
1407#553—794no—
1408#552—794no—
1409#552—794no—
1410#551—794no—
1411#551—794no—
1412#551—794no—
1413#551—794no—
1414#550—792no—
1415#550—792no—
1416#550—791no—
1417#550—791no—
1418#550—792no—
1419#550—792no—
1420#550—791no—
1421#550C2×D7911yescharacteristic, complemented
1422D4×Q8—794no—
1423D4×Q8—792no—
1424D4×Q8—792no—
1425D4×Q8—792no—
1426D4×Q8—794no—
1427D4×Q8—794no—
1428D4×Q8—792no—
1429D4×Q8—792no—
1430D4×Q8—792no—
1431#548—792no—
1432#548—794no—
1433#548—794no—
1434#548—794no—
1435#548—792no—
1436#548—794no—
1437#548—794no—
1438#548—794no—
1439#548—792no—
1440#548C2×D7912yescomplemented
1441#547—794no—
1442#547—794no—
1443#547—792no—
1444#547—794no—
1445#547—794no—
1446#547—794no—
1447#547—794no—
1448#547—792no—
1449#547—792no—
1450#547—792no—
1451#547—792no—
1452#547—794no—
1453#547—794no—
1454#547—792no—
1455#547—792no—
1456#547C2×D7914yescomplemented
1457#547C2×D7912yescomplemented
1458#546—794no—
1459#546—792no—
1460#546—792no—
1461#546—794no—
1462#546—794no—
1463#546—794no—
1464#546—794no—
1465#546—792no—
1466#546—794no—
1467#546—792no—
1468#544—792no—
1469#544—794no—
1470#544—792no—
1471#544—794no—
1472#543—794no—
1473#543—794no—
1474#542—792no—
1475#542—792no—
1476#542—794no—
1477#542—794no—
1478#542—794no—
1479#542—792no—
1480#542—792no—
1481#542—794no—
1482#542—792no—
1483#542—792no—
1484#542—792no—
1485#542—794no—
1486#542—792no—
1487#542—792no—
1488#542—792no—
1489#542—792no—
1490#542C2×D7912yescomplemented
1491#542C2×D7914yescomplemented
1492#540—792no—
1493#540—792no—
1494#540—794no—
1495#540—794no—
1496#540—792no—
1497#540—792no—
1498#539—794no—
1499#539—794no—
1500#539—794no—
1501#539—794no—
1502#539—794no—
1503#539—794no—
1504#538—794no—
1505#538—794no—
1506#537—794no—
1507#537—792no—
1508#537—794no—
1509#537—792no—
1510#537—794no—
1511#537—794no—
1512#537—794no—
1513#537—792no—
1514#537—792no—
1515#536—794no—
1516#536—794no—
1517#536—794no—
1518#536—794no—
1519#536—794no—
1520#535—792no—
1521#535—792no—
1522#533—791no—
1523#533—791no—
1524#533—792no—
1525#533—792no—
1526#533—791no—
1527#533—791no—
1528#533—791no—
1529#533—791no—
1530#533—791no—
1531#533—791no—
1532#533—792no—
1533#533—791no—
1534#533—791no—
1535#533—792no—
1536#533—792no—
1537#533—791no—
1538#533—792no—
1539#532—792no—
1540#532—792no—
1541#532—791no—
1542#532—791no—
1543#532—792no—
1544#532—791no—
1545#532—792no—
1546#532—792no—
1547#532—792no—
1548#532—791no—
1549#532—792no—
1550#532—792no—
1551#532—792no—
1552#532—792no—
1553#532—792no—
1554#532—791no—
1555#532—792no—
1556#532—791no—
1557#532—792no—
1558#532C2×D7911yescharacteristic
1559#532C2×D7912yescomplemented
1560C2×C4⋊Q8—791no—
1561C2×C4⋊Q8—791no—
1562C2×C4⋊Q8—792no—
1563C2×C4⋊Q8—791no—
1564C2×C4⋊Q8—792no—
1565C2×#127—791no—
1566#529—792no—
1567#529—792no—
1568#529—791no—
1569#529—791no—
1570#529—792no—
1571#529—792no—
1572#529—792no—
1573#529—792no—
1574#529—791no—
1575#529—792no—
1576#529C2×D7911yescharacteristic, complemented
1577#529C2×D7912yescomplemented
1578C2×#125—792no—
1579C2×#124—792no—
1580#525—792no—
1581#525—794no—
1582#525—791no—
1583#525—791no—
1584#525—792no—
1585#525—794no—
1586C2×C22⋊Q8—791no—
1587C2×C22⋊Q8—794no—
1588C2×C22⋊Q8—792no—
1589C2×C22⋊Q8—791no—
1590C2×C22⋊Q8—794no—
1591C2×#121—792no—
1592C2×#121—792no—
1593#520—792no—
1594#520—792no—
1595#520—794no—
1596#520—792no—
1597#520—792no—
1598#520—792no—
1599#520C2×D7912yescomplemented
1600#518—792no—
1601#518—792no—
1602C4×#41—791no—
1603C4×#41—791no—
1604C4×#41—792no—
1605C4×#41—792no—
1606C2×C4×Q8—792no—
1607C2×C4×Q8—791no—
1608C2×C4×Q8C2×D7911yescharacteristic, complemented
1609C2×C4×D4—792no—
1610C2×C4×D4—792no—
1611C2×#117—792no—
1612C22×C42—791no—
16132−1+4—31616no—
1614C2×#41—3168no—
1615C2×#41—792no—
1616C2×#41—792no—
1617C2×#41—791no—
1618C2×#41—792no—
1619C2×#41—794no—
1620C2×#41—792no—
1621C2×#41—794no—
1622C2×#41—794no—
1623C2×#41—794no—
1624C2×#41—791no—
1625C2×#41—792no—
1626C2×#41—794no—
1627C2×#41—792no—
1628C2×#41—792no—
1629C2×#41—794no—
1630C2×#41—792no—
1631C2×#41—794no—
1632C2×#41—794no—
1633C2×#41—794no—
1634C2×#41C22×D7912yes—
1635C2×#41C22×D7912yes—
1636C2×#41C22×D7914yes—
1637C22×Q8—794no—
1638C22×Q8—792no—
1639C22×Q8—794no—
1640C22×Q8—791no—
1641C22×Q8—794no—
1642C22×Q8—794no—
1643C22×Q8—792no—
1644C22×Q8C22×D7911yescharacteristic
1645C22×D4—792no—
1646C22×D4—794no—
1647C22×D4—792no—
1648C22×D4—792no—
1649C23×C4—794no—
1650C23×C4—791no—
1651C23×C4—791no—
1652C23×C4—791no—
1653C4⋊Q8—791no—
1654C4⋊Q8—791no—
1655C4⋊Q8—792no—
1656C4⋊Q8—792no—
1657C4⋊Q8—791no—
1658C4⋊Q8—791no—
1659C4⋊Q8—792no—
1660C4⋊Q8—794no—
1661C4⋊Q8—791no—
1662C4⋊Q8—794no—
1663C4⋊Q8—791no—
1664C4⋊Q8—792no—
1665C4⋊Q8—791no—
1666C4⋊Q8—792no—
1667C4⋊Q8—792no—
1668C4⋊Q8—792no—
1669C4⋊Q8—791no—
1670C4⋊Q8—791no—
1671C4⋊Q8—794no—
1672C4⋊Q8—794no—
1673C4⋊Q8—792no—
1674C4⋊Q8—792no—
1675C4⋊Q8—794no—
1676C4⋊Q8—791no—
1677C4⋊Q8—791no—
1678C4⋊Q8—792no—
1679C4⋊Q8—792no—
1680C4⋊Q8—794no—
1681C4⋊Q8—794no—
1682C4⋊Q8—791no—
1683C4⋊Q8—792no—
1684C4⋊Q8—792no—
1685C4⋊Q8C22×D7911yescharacteristic
1686C4⋊Q8C22×D7912yes—
1687C4⋊Q8C22×D7912yes—
1688C4⋊Q8C22×D7914yes—
1689#127—792no—
1690#127—792no—
1691#127—792no—
1692#127—791no—
1693#127—792no—
1694#127—792no—
1695#127—791no—
1696#127—792no—
1697#127C22×D7911yescharacteristic
1698#127C22×D7912yes—
1699#126—792no—
1700#126—794no—
1701#126—794no—
1702#126—794no—
1703#126—792no—
1704#126—794no—
1705#126—794no—
1706#126—794no—
1707#126—794no—
1708#126—794no—
1709#126—792no—
1710#126—794no—
1711#126—794no—
1712#126—794no—
1713#126C22×D7912yes—
1714#126C22×D7914yes—
1715#125—792no—
1716#125—792no—
1717#125—792no—
1718#125—792no—
1719#125—792no—
1720#125—792no—
1721#125—792no—
1722#125—792no—
1723#125—792no—
1724#125—792no—
1725#125—792no—
1726#125—792no—
1727#125—794no—
1728#125—794no—
1729#125—794no—
1730#125—794no—
1731#125—794no—
1732#125—791no—
1733#125—792no—
1734#125—794no—
1735#125C22×D7911yescharacteristic
1736#125C22×D7912yes—
1737#124—792no—
1738#124—792no—
1739#124—792no—
1740#124—794no—
1741#124—794no—
1742#124—792no—
1743#124—792no—
1744#124—792no—
1745#124—794no—
1746#124—794no—
1747#124—792no—
1748#124—792no—
1749#124—794no—
1750#124—794no—
1751#124—794no—
1752#124—794no—
1753#124—794no—
1754#124—794no—
1755#124—794no—
1756#124—794no—
1757#124—792no—
1758#124—791no—
1759#124—792no—
1760#124—792no—
1761#124—794no—
1762#124—794no—
1763#124C22×D7912yes—
1764#124C22×D7911yescharacteristic
1765#124C22×D7912yes—
1766#124C22×D7912yes—
1767#124C22×D7914yes—
1768#124C22×D7914yes—
1769#123—794no—
1770#123—794no—
1771#123—794no—
1772#123—794no—
1773#123—792no—
1774#123—794no—
1775#123—794no—
1776#123—794no—
1777#123—794no—
1778#123—794no—
1779#123—794no—
1780#123—792no—
1781#123—792no—
1782#123—794no—
1783#123—794no—
1784#123—794no—
1785#123—794no—
1786#123—794no—
1787#123—794no—
1788#123—794no—
1789#123—794no—
1790#123—792no—
1791#123—792no—
1792#123—794no—
1793#123—794no—
1794#123—794no—
1795#123—794no—
1796#123—794no—
1797#123—794no—
1798#123—794no—
1799#123—794no—
1800#123—794no—
1801#123—794no—
1802#123C22×D7912yes—
1803#123C22×D7914yes—
1804#123C22×D7914yes—
1805#123C22×D7914yes—
1806#123C22×D7914yes—
1807C22⋊Q8—791no—
1808C22⋊Q8—791no—
1809C22⋊Q8—792no—
1810C22⋊Q8—791no—
1811C22⋊Q8—791no—
1812C22⋊Q8—792no—
1813C22⋊Q8—794no—
1814C22⋊Q8—791no—
1815C22⋊Q8—792no—
1816C22⋊Q8—794no—
1817C22⋊Q8—794no—
1818C22⋊Q8—794no—
1819C22⋊Q8—794no—
1820C22⋊Q8—794no—
1821C22⋊Q8—794no—
1822C22⋊Q8—791no—
1823C22⋊Q8—792no—
1824C22⋊Q8—794no—
1825C22⋊Q8—794no—
1826C22⋊Q8—794no—
1827C22⋊Q8—794no—
1828C22⋊Q8—792no—
1829C22⋊Q8—792no—
1830C22⋊Q8—792no—
1831C22⋊Q8—792no—
1832C22⋊Q8—792no—
1833C22⋊Q8—791no—
1834C22⋊Q8—791no—
1835C22⋊Q8—792no—
1836C22⋊Q8—792no—
1837C22⋊Q8—792no—
1838C22⋊Q8—791no—
1839C22⋊Q8—791no—
1840C22⋊Q8—792no—
1841C22⋊Q8—792no—
1842C22⋊Q8—792no—
1843C22⋊Q8—794no—
1844C22⋊Q8—794no—
1845C22⋊Q8—794no—
1846C22⋊Q8—794no—
1847C22⋊Q8—794no—
1848C22⋊Q8—794no—
1849C22⋊Q8—794no—
1850C22⋊Q8—792no—
1851C22⋊Q8—791no—
1852C22⋊Q8—792no—
1853C22⋊Q8—794no—
1854C22⋊Q8—794no—
1855C22⋊Q8—792no—
1856C22⋊Q8—794no—
1857C22⋊Q8—794no—
1858C22⋊Q8—794no—
1859C22⋊Q8—794no—
1860C22⋊Q8—794no—
1861C22⋊Q8—794no—
1862C22⋊Q8—794no—
1863C22⋊Q8—794no—
1864C22⋊Q8—794no—
1865C22⋊Q8—794no—
1866C22⋊Q8—794no—
1867C22⋊Q8—792no—
1868C22⋊Q8—794no—
1869C22⋊Q8—794no—
1870C22⋊Q8—794no—
1871C22⋊Q8—794no—
1872C22⋊Q8—794no—
1873C22⋊Q8—794no—
1874C22⋊Q8—794no—
1875C22⋊Q8—794no—
1876C22⋊Q8—794no—
1877C22⋊Q8C22×D7914yes—
1878C22⋊Q8C22×D7911yescharacteristic
1879C22⋊Q8C22×D7912yes—
1880C22⋊Q8C22×D7914yes—
1881C22⋊Q8C22×D7914yes—
1882C22⋊Q8C22×D7914yes—
1883#121—794no—
1884#121—792no—
1885#121—792no—
1886#121—794no—
1887#121—792no—
1888#121—791no—
1889#121—794no—
1890#121—794no—
1891#121—794no—
1892#121—794no—
1893#121—794no—
1894#121—792no—
1895#121—794no—
1896#121—794no—
1897#121—794no—
1898#121—794no—
1899#121—794no—
1900#121—794no—
1901#121—794no—
1902#121—794no—
1903#121—792no—
1904#121—792no—
1905#121—791no—
1906#121—794no—
1907#121—792no—
1908#121—794no—
1909#121—794no—
1910#121—794no—
1911#121—794no—
1912#121—792no—
1913#121—792no—
1914#121—791no—
1915#121—792no—
1916#121—794no—
1917#121—794no—
1918#121—794no—
1919#121—794no—
1920#121—794no—
1921#121—792no—
1922#121—792no—
1923#121—792no—
1924#121—794no—
1925#121—794no—
1926#121—794no—
1927#121—794no—
1928#121—794no—
1929#121—794no—
1930#121—794no—
1931#121—794no—
1932#121—794no—
1933#121C22×D7912yes—
1934#121C22×D7912yes—
1935#121C22×D7911yescharacteristic
1936#121C22×D7912yes—
1937#121C22×D7914yes—
1938#121C22×D7914yes—
1939#120—792no—
1940#120—794no—
1941#120—794no—
1942#120—792no—
1943#120—794no—
1944#120—794no—
1945C4×Q8—791no—
1946C4×Q8—792no—
1947C4×Q8—792no—
1948C4×Q8—792no—
1949C4×Q8—792no—
1950C4×Q8—792no—
1951C4×Q8—791no—
1952C4×Q8—792no—
1953C4×Q8—794no—
1954C4×Q8—792no—
1955C4×Q8—791no—
1956C4×Q8—791no—
1957C4×Q8—792no—
1958C4×Q8—792no—
1959C4×Q8—792no—
1960C4×Q8—792no—
1961C4×Q8—792no—
1962C4×Q8—792no—
1963C4×Q8—792no—
1964C4×Q8—792no—
1965C4×Q8—792no—
1966C4×Q8—791no—
1967C4×Q8—791no—
1968C4×Q8—792no—
1969C4×Q8—792no—
1970C4×Q8—791no—
1971C4×Q8—792no—
1972C4×Q8—794no—
1973C4×Q8—792no—
1974C4×Q8C22×D7911yescharacteristic
1975C4×Q8C22×D7911yescharacteristic
1976C4×Q8C22×D7912yes—
1977C4×Q8C22×D7911yescharacteristic
1978C4×Q8C22×D7911yescharacteristic
1979C4×Q8C22×D7912yes—
1980C4×Q8C22×D7911yescharacteristic
1981C4×Q8C22×D7912yes—
1982C4×Q8C22×D7912yes—
1983C4×D4—792no—
1984C4×D4—792no—
1985C4×D4—792no—
1986C4×D4—791no—
1987C4×D4—792no—
1988C4×D4—792no—
1989C4×D4—794no—
1990C4×D4—792no—
1991C4×D4—792no—
1992C4×D4—794no—
1993C4×D4—794no—
1994C4×D4—792no—
1995C4×D4—792no—
1996C4×D4—792no—
1997C4×D4—794no—
1998C4×D4—794no—
1999C4×D4—794no—
2000C4×D4—794no—
2001C4×D4—794no—
2002C4×D4—794no—
2003C4×D4—792no—
2004C4×D4—792no—
2005C4×D4—792no—
2006C4×D4—792no—
2007C4×D4—792no—
2008C4×D4—791no—
2009C4×D4—792no—
2010C4×D4—792no—
2011C4×D4—794no—
2012C4×D4—794no—
2013C4×D4—792no—
2014C4×D4—792no—
2015C4×D4—794no—
2016C4×D4—794no—
2017C4×D4—792no—
2018C4×D4—792no—
2019C4×D4—792no—
2020C4×D4—792no—
2021C4×D4—792no—
2022C4×D4—792no—
2023C4×D4—792no—
2024C4×D4—794no—
2025C4×D4—794no—
2026C4×D4—794no—
2027C4×D4—794no—
2028C4×D4—794no—
2029C4×D4—794no—
2030C4×D4—794no—
2031C4×D4—794no—
2032C4×D4—792no—
2033C4×D4—792no—
2034C4×D4—792no—
2035C4×D4—791no—
2036C4×D4—792no—
2037C4×D4—792no—
2038C4×D4—794no—
2039C4×D4—792no—
2040C4×D4—792no—
2041C4×D4—794no—
2042C4×D4C22×D7912yes—
2043C4×D4C22×D7912yes—
2044C4×D4C22×D7912yes—
2045C4×D4C22×D7911yescharacteristic
2046C4×D4C22×D7912yes—
2047C4×D4C22×D7912yes—
2048C4×D4C22×D7914yes—
2049C4×D4C22×D7912yes—
2050C4×D4C22×D7914yes—
2051C4×D4C22×D7912yes—
2052C4×D4C22×D7914yes—
2053#117—791no—
2054#117—791no—
2055#117—792no—
2056#117—792no—
2057#117—794no—
2058#117—792no—
2059#117—792no—
2060#117—792no—
2061#117—794no—
2062#117—794no—
2063#117—794no—
2064#117—792no—
2065#117—792no—
2066#117—792no—
2067#117—792no—
2068#117—792no—
2069#117—792no—
2070#117—792no—
2071#117—792no—
2072#117—792no—
2073#117—792no—
2074#117—794no—
2075#117—794no—
2076#117—794no—
2077#117C22×D7912yes—
2078#117C22×D7914yes—
2079C2×C4⋊C4—792no—
2080C2×C4⋊C4—792no—
2081C2×C4⋊C4—792no—
2082C2×C4⋊C4—792no—
2083C2×C4⋊C4—792no—
2084C2×C4⋊C4—792no—
2085C2×C4⋊C4—791no—
2086C2×C4⋊C4—794no—
2087C2×C4⋊C4—794no—
2088C2×C4⋊C4—792no—
2089C2×C4⋊C4—794no—
2090C2×C4⋊C4—792no—
2091C2×C4⋊C4—792no—
2092C2×C4⋊C4—794no—
2093C2×C4⋊C4—794no—
2094C2×C4⋊C4—794no—
2095C2×C4⋊C4—792no—
2096C2×C4⋊C4—792no—
2097C2×C4⋊C4—794no—
2098C2×C4⋊C4C22×D7912yes—
2099C2×C4⋊C4C22×D7911yescharacteristic
2100C2×C4⋊C4C22×D7914yes—
2101C2×C4⋊C4C22×D7912yes—
2102C2×C22⋊C4—792no—
2103C2×C22⋊C4—792no—
2104C2×C22⋊C4—794no—
2105C2×C22⋊C4—794no—
2106C2×C22⋊C4—794no—
2107C2×C22⋊C4—794no—
2108C2×C22⋊C4—794no—
2109C2×C22⋊C4—794no—
2110C2×C42—792no—
2111C2×C42—791no—
2112C2×C42—792no—
2113C2×C42—791no—
2114C2×C42—791no—
2115C2×C42—791no—
2116C2×C42—791no—
2117C2×C42—792no—
2118C2×C42—791no—
2119C2×C42—791no—
2120C2×C42—791no—
2121C2×C42—791no—
2122C2×C42—791no—
2123C2×C42—791no—
2124C2×C42C22×D7912yes—
2125C2×C42C22×D7911yescharacteristic
2126C24—794no—
2127C24—791no—
2128#41—44no—
2129#41—48no—
2130#41—44no—
2131#41—3164no—
2132#41—3164no—
2133#41—3168no—
2134#41—3164no—
2135#41—3168no—
2136#41—3168no—
2137#41—3168no—
2138#41—3164no—
2139#41—3168no—
2140#41—3168no—
2141#41—3168no—
2142#41—3168no—
2143#41—3164no—
2144#41—3164no—
2145#41—3164no—
2146#41—15816no—
2147#41—1584no—
2148#41—1588no—
2149#41—1584no—
2150C2×Q8—42no—
2151C2×Q8—3162no—
2152C2×Q8—3168no—
2153C2×Q8—3168no—
2154C2×Q8—3164no—
2155C2×Q8—3168no—
2156C2×Q8—3168no—
2157C2×Q8—792no—
2158C2×Q8—792no—
2159C2×Q8—794no—
2160C2×Q8—794no—
2161C2×Q8—794no—
2162C2×Q8—792no—
2163C2×Q8—791no—
2164C2×Q8—791no—
2165C2×Q8—791no—
2166C2×Q8—792no—
2167C2×Q8—792no—
2168C2×Q8—792no—
2169C2×Q8—794no—
2170C2×Q8—792no—
2171C2×Q8—792no—
2172C2×Q8—1588no—
2173C2×Q8C23×D7911yescharacteristic
2174C2×Q8C23×D7911yescharacteristic
2175C2×Q8C23×D7911yescharacteristic
2176C2×Q8C23×D7912yes—
2177C2×Q8C23×D7914yes—
2178C2×Q8C23×D7912yes—
2179C2×D4—3168no—
2180C2×D4—3164no—
2181C2×D4—3164no—
2182C2×D4—792no—
2183C2×D4—794no—
2184C2×D4—794no—
2185C2×D4—792no—
2186C2×D4—794no—
2187C2×D4—794no—
2188C2×D4—794no—
2189C2×D4—794no—
2190C2×D4—792no—
2191C2×D4—794no—
2192C2×D4—792no—
2193C2×D4—794no—
2194C2×D4—792no—
2195C2×D4—794no—
2196C2×D4—792no—
2197C2×D4—794no—
2198C2×D4—794no—
2199C2×D4—794no—
2200C2×D4—792no—
2201C2×D4—792no—
2202C2×D4—792no—
2203C2×D4—791no—
2204C2×D4—792no—
2205C2×D4—1588no—
2206C2×D4C23×D7912yes—
2207C2×D4C23×D7911yescharacteristic
2208C2×D4C23×D7912yes—
2209C2×D4C23×D7912yes—
2210C2×D4C23×D7914yes—
2211C2×D4C23×D7914yes—
2212C2×D4C23×D7914yes—
2213C2×D4C23×D7912yes—
2214C22×C4—3162no—
2215C22×C4—3168no—
2216C22×C4—791no—
2217C22×C4—792no—
2218C22×C4—794no—
2219C22×C4—794no—
2220C22×C4—794no—
2221C22×C4—791no—
2222C22×C4—791no—
2223C22×C4—794no—
2224C22×C4—794no—
2225C22×C4—794no—
2226C22×C4—794no—
2227C22×C4—794no—
2228C22×C4—794no—
2229C22×C4—794no—
2230C22×C4—794no—
2231C22×C4—791no—
2232C22×C4—791no—
2233C22×C4—791no—
2234C22×C4—792no—
2235C22×C4—792no—
2236C22×C4—792no—
2237C22×C4—794no—
2238C22×C4—791no—
2239C22×C4—791no—
2240C22×C4—791no—
2241C22×C4—791no—
2242C22×C4—791no—
2243C22×C4—791no—
2244C22×C4—791no—
2245C22×C4—791no—
2246C22×C4—791no—
2247C22×C4—792no—
2248C22×C4—792no—
2249C22×C4—792no—
2250C22×C4—794no—
2251C22×C4—1584no—
2252C22×C4—1584no—
2253C22×C4C23×D7911yescharacteristic
2254C22×C4C23×D7911yescharacteristic
2255C22×C4C23×D7911yescharacteristic
2256C22×C4C23×D7912yes—
2257C22×C4C23×D7912yes—
2258C22×C4C23×D7912yes—
2259C22×C4C23×D7914yes—
2260C22×C4C23×D7914yes—
2261C22×C4C23×D7914yes—
2262C22×C4C23×D7914yes—
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—794no—
2273C4⋊C4—794no—
2274C4⋊C4—792no—
2275C4⋊C4—792no—
2276C4⋊C4—792no—
2277C4⋊C4—792no—
2278C4⋊C4—792no—
2279C4⋊C4—792no—
2280C4⋊C4—792no—
2281C4⋊C4—792no—
2282C4⋊C4—794no—
2283C4⋊C4—794no—
2284C4⋊C4—794no—
2285C4⋊C4—794no—
2286C4⋊C4—794no—
2287C4⋊C4—794no—
2288C4⋊C4—794no—
2289C4⋊C4—792no—
2290C4⋊C4—792no—
2291C4⋊C4—792no—
2292C4⋊C4—792no—
2293C4⋊C4—792no—
2294C4⋊C4—792no—
2295C4⋊C4—792no—
2296C4⋊C4—792no—
2297C4⋊C4—792no—
2298C4⋊C4—792no—
2299C4⋊C4—792no—
2300C4⋊C4—792no—
2301C4⋊C4—792no—
2302C4⋊C4—792no—
2303C4⋊C4—791no—
2304C4⋊C4—792no—
2305C4⋊C4—791no—
2306C4⋊C4—794no—
2307C4⋊C4—792no—
2308C4⋊C4—794no—
2309C4⋊C4—794no—
2310C4⋊C4—794no—
2311C4⋊C4—792no—
2312C4⋊C4—792no—
2313C4⋊C4—792no—
2314C4⋊C4—792no—
2315C4⋊C4—792no—
2316C4⋊C4—791no—
2317C4⋊C4—791no—
2318C4⋊C4—792no—
2319C4⋊C4—792no—
2320C4⋊C4C23×D7912yes—
2321C4⋊C4C23×D7911yescharacteristic
2322C4⋊C4C23×D7912yes—
2323C4⋊C4C23×D7912yes—
2324C4⋊C4C23×D7912yes—
2325C4⋊C4C23×D7914yes—
2326C4⋊C4C23×D7914yes—
2327C4⋊C4C23×D7911yescharacteristic
2328C4⋊C4C23×D7912yes—
2329C4⋊C4C23×D7914yes—
2330C4⋊C4C23×D7914yes—
2331C4⋊C4C23×D7912yes—
2332C4⋊C4C23×D7912yes—
2333C4⋊C4C23×D7912yes—
2334C4⋊C4C23×D7912yes—
2335C4⋊C4C23×D7911yescharacteristic
2336C4⋊C4C23×D7911yescharacteristic
2337C4⋊C4C23×D7912yes—
2338C4⋊C4C23×D7912yes—
2339C22⋊C4—794no—
2340C22⋊C4—794no—
2341C22⋊C4—794no—
2342C22⋊C4—794no—
2343C22⋊C4—792no—
2344C22⋊C4—794no—
2345C22⋊C4—794no—
2346C22⋊C4—792no—
2347C22⋊C4—794no—
2348C22⋊C4—792no—
2349C22⋊C4—792no—
2350C22⋊C4—792no—
2351C22⋊C4—792no—
2352C22⋊C4—792no—
2353C22⋊C4—792no—
2354C22⋊C4—792no—
2355C22⋊C4—794no—
2356C22⋊C4—792no—
2357C22⋊C4—792no—
2358C22⋊C4—792no—
2359C22⋊C4—792no—
2360C22⋊C4—794no—
2361C22⋊C4—794no—
2362C22⋊C4—794no—
2363C22⋊C4—794no—
2364C22⋊C4—794no—
2365C22⋊C4—794no—
2366C22⋊C4—794no—
2367C22⋊C4—792no—
2368C22⋊C4—792no—
2369C22⋊C4—794no—
2370C22⋊C4—794no—
2371C22⋊C4—794no—
2372C22⋊C4—794no—
2373C22⋊C4—792no—
2374C22⋊C4—792no—
2375C22⋊C4—792no—
2376C22⋊C4—792no—
2377C22⋊C4—794no—
2378C22⋊C4—794no—
2379C22⋊C4—792no—
2380C22⋊C4—792no—
2381C22⋊C4C23×D7914yes—
2382C22⋊C4C23×D7914yes—
2383C22⋊C4C23×D7914yes—
2384C22⋊C4C23×D7914yes—
2385C22⋊C4C23×D7912yes—
2386C22⋊C4C23×D7914yes—
2387C22⋊C4C23×D7912yes—
2388C22⋊C4C23×D7914yes—
2389C22⋊C4C23×D7912yes—
2390C22⋊C4C23×D7912yes—
2391C22⋊C4C23×D7912yes—
2392C22⋊C4C23×D7914yes—
2393C42—791no—
2394C42—791no—
2395C42—791no—
2396C42—791no—
2397C42—791no—
2398C42—791no—
2399C42—791no—
2400C42—791no—
2401C42—791no—
2402C42—791no—
2403C42—791no—
2404C42—791no—
2405C42—792no—
2406C42—792no—
2407C42—792no—
2408C42—792no—
2409C42—792no—
2410C42—792no—
2411C42—792no—
2412C42—792no—
2413C42—792no—
2414C42—794no—
2415C42—794no—
2416C42—794no—
2417C42C23×D7911yescharacteristic
2418C42C23×D7911yescharacteristic
2419C42C23×D7911yescharacteristic
2420C42C23×D7911yescharacteristic
2421C42C23×D7912yes—
2422C42C23×D7912yes—
2423C42C23×D7912yes—
2424C42C23×D7912yes—
2425C42C23×D7912yes—
2426C42C23×D7914yes—
2427C23—3161no—
2428C23—3164no—
2429C23—3164no—
2430C23—791no—
2431C23—794no—
2432C23—791no—
2433C23—792no—
2434C23—1582no—
2435C23—1588no—
2436C23—1582no—
2437C23C24×D7914yes—
2438C23C24×D7912yes—
2439C23C24×D7911yescharacteristic
2440Q8—22no—
2441Q8—22no—
2442Q8—22no—
2443Q8—42no—
2444Q8—44no—
2445Q8—42no—
2446Q8—3164no—
2447Q8—3164no—
2448Q8—3164no—
2449Q8—3162no—
2450Q8—3162no—
2451Q8—3162no—
2452Q8—1584no—
2453Q8—1588no—
2454Q8—1584no—
2455Q8—1584no—
2456Q8—1584no—
2457Q8—1584no—
2458Q8—1582no—
2459Q8—1582no—
2460Q8—1582no—
2461D4—28no—
2462D4—24no—
2463D4—24no—
2464D4—22no—
2465D4—24no—
2466D4—42no—
2467D4—44no—
2468D4—44no—
2469D4—3162no—
2470D4—3164no—
2471D4—3164no—
2472D4—3162no—
2473D4—3164no—
2474D4—3164no—
2475D4—3164no—
2476D4—3162no—
2477D4—3164no—
2478D4—3164no—
2479D4—3162no—
2480D4—3164no—
2481D4—3164no—
2482D4—1584no—
2483D4—1588no—
2484D4—1588no—
2485D4—1584no—
2486D4—1584no—
2487D4—1588no—
2488D4—1584no—
2489D4—1584no—
2490D4—1582no—
2491D4—1584no—
2492C2×C4—22no—
2493C2×C4—24no—
2494C2×C4—22no—
2495C2×C4—22no—
2496C2×C4—24no—
2497C2×C4—44no—
2498C2×C4—42no—
2499C2×C4—44no—
2500C2×C4—44no—
2501C2×C4—44no—
2502C2×C4—3164no—
2503C2×C4—3164no—
2504C2×C4—3161no—
2505C2×C4—3161no—
2506C2×C4—3164no—
2507C2×C4—3164no—
2508C2×C4—3164no—
2509C2×C4—3164no—
2510C2×C4—3164no—
2511C2×C4—3164no—
2512C2×C4—3161no—
2513C2×C4—3164no—
2514C2×C4—3164no—
2515C2×C4—3162no—
2516C2×C4—3164no—
2517C2×C4—794no—
2518C2×C4—791no—
2519C2×C4—791no—
2520C2×C4—791no—
2521C2×C4—794no—
2522C2×C4—792no—
2523C2×C4—791no—
2524C2×C4—792no—
2525C2×C4—792no—
2526C2×C4—791no—
2527C2×C4—791no—
2528C2×C4—792no—
2529C2×C4—792no—
2530C2×C4—792no—
2531C2×C4—792no—
2532C2×C4—794no—
2533C2×C4—1582no—
2534C2×C4—1588no—
2535C2×C4—1582no—
2536C2×C4—1582no—
2537C2×C4—1582no—
2538C2×C4—1582no—
2539C2×C4—1584no—
2540C2×C4—1584no—
2541C2×C4—1582no—
2542C2×C4—1588no—
2543C2×C4—1582no—
2544C2×C4—1584no—
2545C2×C4—1584no—
2546C2×C4—1584no—
2547C2×C4—1582no—
2548C2×C4—1582no—
2549C2×C4—1582no—
2550C2×C4—1584no—
2551C2×C4C24×D7911yescharacteristic
2552C2×C4C24×D7912yes—
2553C2×C4C24×D7911yescharacteristic
2554C2×C4C24×D7912yes—
2555C2×C4C24×D7911yescharacteristic
2556C2×C4C24×D7911yescharacteristic
2557C2×C4C24×D7912yes—
2558C2×C4C24×D7912yes—
2559C2×C4C24×D7914yes—
2560C2×C4C24×D7912yes—
2561C2×C4C24×D7912yes—
2562C2×C4C24×D7912yes—
2563C2×C4C24×D7911yescharacteristic
2564C2×C4C24×D7911yescharacteristic
2565C22—21no—
2566C22—21no—
2567C22—22no—
2568C22—24no—
2569C22—22no—
2570C22—24no—
2571C22—22no—
2572C22—24no—
2573C22—3164no—
2574C22—792no—
2575C22—6328no—
2576C22—1582no—
2577C22—1584no—
2578C22—1581no—
2579C22—1581no—
2580C22—1582no—
2581C22—1584no—
2582C22—1584no—
2583C22—1581no—
2584C22—1582no—
2585C22—1581no—
2586C22—1581no—
2587C22H(5,𝔽2)×D7912yes—
2588C22C25×D7911yescharacteristic
2589C4—21no—
2590C4—22no—
2591C4—22no—
2592C4—21no—
2593C4—24no—
2594C4—22no—
2595C4—21no—
2596C4—22no—
2597C4—22no—
2598C4—21no—
2599C4—22no—
2600C4—22no—
2601C4—792no—
2602C4—792no—
2603C4—792no—
2604C4—1582no—
2605C4—1582no—
2606C4—1584no—
2607C4—1582no—
2608C4—1581no—
2609C4—1582no—
2610C4—1582no—
2611C4—1582no—
2612C4—1582no—
2613C4—1581no—
2614C4—1581no—
2615C42−1+4×D7912yes—
2616C4#1909939912yes—
2617C2—22no—
2618C2—44no—
2619C2—42no—
2620C2—3161no—
2621C2—3164no—
2622C2—3162no—
2623C2—1582no—
2624C2C2×H(5,𝔽2)×D7911yescharacteristic
2625C2C2×2−1+4×D7911yescharacteristic
2626C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3522C2
hypercenter#3522D79
hypocenterC79#62835
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3522

Complements

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

NH ≅ G/Ntype
1. #23777964C2semidirect
2. #23777925C2semidirect
3. #23777870C2semidirect
4. #23777863C2semidirect
5. #23777812C2semidirect
6. #23777806C2semidirect
7. #23777799C2semidirect
8. #23777793C2semidirect
9. #23777782C2semidirect
10. #23777623C2semidirect
11. #23777616C2semidirect
12. #23777485C2semidirect
13. #23777483C2semidirect
14. #23777477C2semidirect
15. #23777447C2semidirect
16. #23777439C2semidirect
17. #23777306C2semidirect
18. #23777305C2semidirect
19. #23777303C2semidirect
20. #23777273C2semidirect
21. #23777270C2semidirect
22. #23777256C2semidirect
23. #23777248C2semidirect
24. #23777218C2semidirect
25. #23777214C2semidirect
26. #23777199C2semidirect
27. #23777179C2semidirect
28. #23777166C2semidirect
29. #23777130C2semidirect
30. #23777123C2semidirect
31. #23777074C2semidirect
32. #23776694C2semidirect
33. C2×#19099117C2semidirect
34. #532×D79C2semidirect
35. C79×#3522C2semidirect
36. C2×#14579208C22semidirect
38. #19099316C22semidirect
39. #19099312C22semidirect
40. #19099310C22semidirect
41. #19099309C22semidirect
42. #19099309C22semidirect
43. #19099309C22semidirect
44. #19099308C22semidirect
45. #19099307C22semidirect
46. #19099299C22semidirect
47. #19099298C22semidirect
48. #19099298C22semidirect
49. #19099298C22semidirect
50. #19099296C22semidirect
51. #19099296C22semidirect
52. #19099295C22semidirect
53. #19099295C22semidirect
54. Q8×Dic158C22semidirect
55. Q8×Dic158C22semidirect
56. #19099293C22semidirect
57. #19099290C22semidirect
58. #19099289C22semidirect
59. #19099285C22semidirect
60. #19099285C22semidirect
61. #19099282C22semidirect
62. #19099282C22semidirect
63. #19099281C22semidirect
64. #19099280C22semidirect
65. #19099276C22semidirect
66. #19099275C22semidirect
67. #19099275C22semidirect
69. #19099274C22semidirect
71. #19099273C22semidirect
72. #19099273C22semidirect
73. #19099272C22semidirect
74. #19099272C22semidirect
76. #19099270C22semidirect
77. #19099269C22semidirect
78. #19099269C22semidirect
80. #19099268C22semidirect
81. #19099267C22semidirect
82. #19099267C22semidirect
83. #19099264C22semidirect
84. #19099262C22semidirect
85. #19099262C22semidirect
86. #19099262C22semidirect
87. #19099258C22semidirect
88. #19099256C22semidirect
89. #19099249C22semidirect
90. #19099246C22semidirect
95. #19099235C22semidirect
96. #19099234C22semidirect
97. #19099234C22semidirect
98. #19099234C22semidirect
99. #19099233C22semidirect
100. #19099233C22semidirect
101. #19099233C22semidirect
102. D4×Dic158C22semidirect
103. D4×Dic158C22semidirect
104. D4×Dic158C22semidirect
106. #19099228C22semidirect
107. #19099228C22semidirect
108. #19099228C22semidirect
110. #19099226C22semidirect
111. #19099224C22semidirect
112. #19099223C22semidirect
113. #19099222C22semidirect
114. #19099222C22semidirect
115. #19099222C22semidirect
116. #19099222C22semidirect
117. #19099221C22semidirect
118. #19099221C22semidirect
119. #19099219C22semidirect
120. #19099217C22semidirect
121. #19099215C22semidirect
122. #19099214C22semidirect
123. #19099214C22semidirect
124. #19099214C22semidirect
125. #19099214C22semidirect
126. #19099213C22semidirect
127. #19099213C22semidirect
128. #19099212C22semidirect
129. #19099212C22semidirect
130. #19099212C22semidirect
131. #19099211C22semidirect
132. #19099211C22semidirect
133. #19099211C22semidirect
134. #19099211C22semidirect
146. #19099192C22semidirect
148. #19099190C22semidirect
151. #19099187C22semidirect
152. #19099187C22semidirect
153. #19099185C22semidirect
154. #19099185C22semidirect
155. #19099185C22semidirect
156. #19099185C22semidirect
157. #19099184C22semidirect
158. #19099183C22semidirect
159. #19099182C22semidirect
160. #19099182C22semidirect
161. #19099179C22semidirect
162. #19099178C22semidirect
163. #19099178C22semidirect
164. #19099178C22semidirect
165. #19099177C22semidirect
166. #19099177C22semidirect
167. #19099169C22semidirect
168. #19099167C22semidirect
169. #19099165C22semidirect
170. #19099164C22semidirect
171. #19099164C22semidirect
172. #19099163C22semidirect
173. #19099160C22semidirect
174. #19099159C22semidirect
175. #19099157C22semidirect
176. #19099156C22semidirect
177. #19099155C22semidirect
178. #19099155C22semidirect
181. #19099144C22semidirect
182. #19099143C22semidirect
183. #19099143C22semidirect
184. #19099142C22semidirect
185. #19099141C22semidirect
186. #19099141C22semidirect
187. #19099140C22semidirect
188. #19099140C22semidirect
189. #19099140C22semidirect
190. #19099138C22semidirect
191. #19099136C22semidirect
192. #19099135C22semidirect
193. #19099135C22semidirect
194. #19099135C22semidirect
204. #19099117C22semidirect
205. #19099117C22semidirect
206. #19099117C22semidirect
207. #19099117C22semidirect
208. #19099117C22semidirect
209. #19099117C22semidirect
210. #19099117C22semidirect
211. #19099117C22semidirect
212. #19099115C22semidirect
213. #19099115C22semidirect
216. #19099113C22semidirect
219. #19099112C22semidirect
223. #19099110C22semidirect
224. #19099110C22semidirect
226. #19099109C22semidirect
229. #19099108C22semidirect
230. #19099108C22semidirect
231. #19099108C22semidirect
232. #19099108C22semidirect
233. C2×#14579160C22semidirect
234. C2×#14579160C22semidirect
235. C2×#14579159C22semidirect
237. C4⋊Q8×D79C22semidirect
239. #19099099C22semidirect
240. #19099098C22semidirect
241. #19099097C22semidirect
242. #19099097C22semidirect
244. #19099096C22semidirect
245. #19099094C22semidirect
246. #19099092C22semidirect
248. #19099090C22semidirect
249. C2×#14579151C22semidirect
265. #19099045C22semidirect
266. #19099043C22semidirect
268. #19099042C22semidirect
269. #19099042C22semidirect
273. #19099031C22semidirect
275. C4×#11929623C22semidirect
276. C2×C4×Dic158C22semidirect
277. C2×C4×Dic158C22semidirect
282. #559×C79C22semidirect
283. #559×C79C22semidirect
284. Q82×C79C22semidirect
285. #554×C79C22semidirect
286. #554×C79C22semidirect
287. #550×C79C22semidirect
288. #548×C79C22semidirect
289. #547×C79C22semidirect
290. #547×C79C22semidirect
291. #542×C79C22semidirect
292. #542×C79C22semidirect
294. #532×C79C22semidirect
295. #529×C79C22semidirect
296. #529×C79C22semidirect
297. #520×C79C22semidirect
298. C2×C4×Q8×C79C22semidirect
1235. C4×D792−1+4semidirect
1328. #3522D79semidirect
1349. C79#62835semidirect
1368. #559C2×D79semidirect
1369. #559C2×D79semidirect
1373. Q82C2×D79semidirect
1400. #554C2×D79semidirect
1401. #554C2×D79semidirect
1421. #550C2×D79semidirect
1440. #548C2×D79semidirect
1456. #547C2×D79semidirect
1457. #547C2×D79semidirect
1490. #542C2×D79semidirect
1491. #542C2×D79semidirect
1559. #532C2×D79semidirect
1576. #529C2×D79semidirect
1577. #529C2×D79semidirect
1599. #520C2×D79semidirect
1608. C2×C4×Q8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779642
#237779252
#237778702
#237778632
#237778122
#237778062
#237777992
#237777932
#237777822
#237776232
#237776162
#237774852
#237774832
#237774772
#237774472
#237774392
#237773062
#237773052
#237773032
#237772732
#237772702
#237772562
#237772482
#237772182
#237772142
#237771992
#237771792
#237771662
#237771302
#237771232
#237770742
#237766942
C2×#190991172
#532×D792
C79×#35222
#6283579