Finite Group Databasebeta

← #35197041

Subgroups — #35197041

Order 20224.

6626 conjugacy classes of subgroups.

The subgroup lattice has 2592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778083C214yesmaximal, complemented
2#23778063C214yesmaximal, complemented
3#23778052C212yesmaximal, complemented
4#23777995C212yesmaximal, complemented
5#23777884C211yesmaximal, characteristic, complemented
6#23777874C211yesmaximal, characteristic, complemented
7#23777785C211yesmaximal, characteristic, complemented
8#23777775C211yesmaximal, characteristic, complemented
9#23777710C212yesmaximal, complemented
10#23777698C212yesmaximal, complemented
11#23777566C214yesmaximal, complemented
12#23777512C212yesmaximal, complemented
13#23777511C212yesmaximal, complemented
14#23777485C211yesmaximal, characteristic, complemented
15#23777474C212yesmaximal, complemented
16#23777467C212yesmaximal, complemented
17#23777455C214yesmaximal, complemented
18#23777444C211yesmaximal, characteristic, complemented
19#23777434C211yesmaximal, characteristic, complemented
20#23777414C211yesmaximal, characteristic, complemented
21#23777407C211yesmaximal, characteristic, complemented
22#23777377C211yesmaximal, characteristic, complemented
23#23777375C212yesmaximal, complemented
24#23777362C212yesmaximal, complemented
25#23777362C211yesmaximal, characteristic, complemented
26#23777323C212yesmaximal, complemented
27#23777297C212yesmaximal, complemented
28#23777254C212yesmaximal, complemented
29#23777235C212yesmaximal, complemented
30#23777147C212yesmaximal, complemented
31#23777123C212yesmaximal, complemented
32#23776697C211yesmaximal, characteristic, complemented
33#23776694C211yesmaximal, characteristic, complemented
34C2×#19099100C211yesmaximal, characteristic, complemented
35C79×#3523C211yesmaximal, characteristic, complemented
36#19099317C2214yescomplemented
37#19099312C2214yescomplemented
38#19099311C2214yescomplemented
39#19099311C2214yescomplemented
40#19099309C2214yescomplemented
41#19099309C2214yescomplemented
42#19099304C2214yescomplemented
43#19099304C2214yescomplemented
44#19099298C2214yescomplemented
45#19099298C2214yescomplemented
46#19099298C2214yescomplemented
47#19099298C2211yescharacteristic, complemented
48#19099298C2212yescomplemented
49#19099298C2212yescomplemented
50Q8×Dic158C2211yescharacteristic, complemented
51#19099289C2212yescomplemented
52#19099287C2211yescharacteristic, complemented
53#19099287C2212yescomplemented
54#19099286C2212yescomplemented
55#19099286C2212yescomplemented
56#19099285C2214yescomplemented
57#19099285C2214yescomplemented
58#19099284C2212yescomplemented
59#19099280C2214yescomplemented
60#19099279C2212yescomplemented
61#19099279C2214yescomplemented
62#19099279C2212yescomplemented
63#19099278C2211yescharacteristic, complemented
64#19099276C2214yescomplemented
65#19099276C2212yescomplemented
66#19099273C2212yescomplemented
67#19099273C2211yescharacteristic, complemented
68#19099273C2211yescharacteristic, complemented
69#19099271C2212yescomplemented
70#19099269C2212yescomplemented
71#19099267C2214yescomplemented
72#19099266C2212yes—
73#19099266C2212yescomplemented
74#19099266C2212yescomplemented
75#19099266C2214yescomplemented
76#19099266C2214yescomplemented
77#19099266C2214yescomplemented
78#19099266C2214yescomplemented
79#19099264C2214yescomplemented
80#19099264C2214yescomplemented
81#19099264C2214yescomplemented
82#19099264C2214yescomplemented
83#19099263C2212yescomplemented
84#19099262C2214yescomplemented
85#19099259C2212yes—
86#19099257C2214yescomplemented
87#19099257C2212yescomplemented
88#19099254C2212yescomplemented
89#19099254C2212yescomplemented
90#19099254C2214yescomplemented
91#19099254C2212yescomplemented
92#19099251C2214yescomplemented
93#19099251C2212yescomplemented
94#19099249C2214yescomplemented
95#19099247C2212yescomplemented
96#19099246C2214yescomplemented
97#19099245C2214yescomplemented
98#19099245C2214yescomplemented
99#19099245C2214yescomplemented
100#19099245C2214yescomplemented
101#19099240C2214yescomplemented
102#19099240C2214yescomplemented
103#19099240C2214yescomplemented
104#19099238C2214yescomplemented
105#19099238C2214yescomplemented
106#19099237C2214yescomplemented
107#19099237C2214yescomplemented
108#19099237C2214yescomplemented
109#19099237C2214yescomplemented
110#19099237C2214yescomplemented
111#19099237C2214yescomplemented
112#19099235C2211yescharacteristic, complemented
113#19099235C2212yescomplemented
114#19099235C2212yescomplemented
115#19099235C2211yescharacteristic, complemented
116#19099235C2212yescomplemented
117#19099228C2211yescharacteristic, complemented
118#19099225C2212yescomplemented
119#19099225C2212yescomplemented
120#19099224C2212yescomplemented
121#19099224C2212yescomplemented
122#19099224C2212yescomplemented
123#19099221C2212yescomplemented
124#19099216C2212yescomplemented
125#19099216C2211yescharacteristic, complemented
126#19099216C2212yescomplemented
127#19099216C2212yescomplemented
128#19099216C2211yescharacteristic, complemented
129#19099214C2214yescomplemented
130#19099214C2212yescomplemented
131#19099211C2214yescomplemented
132#19099208C2214yescomplemented
133#19099208C2212yescomplemented
134#19099206C2212yescomplemented
135#19099206C2212yescomplemented
136#19099205C2214yes—
137#19099205C2214yescomplemented
138#19099204C2212yes—
139#19099204C2212yes—
140#19099204C2212yescomplemented
141D4×D316C2212yes—
142D4×D316C2211yescharacteristic, complemented
143#19099193C2212yescomplemented
144#19099190C2212yescomplemented
145#19099187C2214yescomplemented
146#19099187C2214yescomplemented
147#19099187C2212yescomplemented
148#19099185C2212yes—
149#19099185C2214yescomplemented
150#19099185C2212yescomplemented
151#19099185C2212yescomplemented
152#19099185C2214yescomplemented
153#19099185C2212yescomplemented
154#19099185C2212yescomplemented
155#19099185C2212yescomplemented
156#19099183C2214yescomplemented
157#19099182C2212yescomplemented
158#19099179C2214yescomplemented
159#19099174C2212yescomplemented
160#19099174C2212yescomplemented
161#19099172C2214yescomplemented
162#19099172C2214yescomplemented
163#19099171C2212yescomplemented
164#19099169C2214yescomplemented
165#19099169C2214yescomplemented
166#19099169C2212yescomplemented
167#19099169C2212yescomplemented
168#19099168C2214yescomplemented
169#19099168C2212yescomplemented
170#19099164C2212yescomplemented
171#19099161C2214yescomplemented
172#19099161C2214yescomplemented
173#19099161C2214yescomplemented
174#19099161C2214yescomplemented
175#19099159C2214yescomplemented
176#19099157C2214yescomplemented
177#19099154C2214yescomplemented
178#19099153C2214yescomplemented
179#19099153C2214yescomplemented
180#19099153C2214yescomplemented
181#19099153C2214yescomplemented
182#19099152C2214yescomplemented
183#19099152C2214yescomplemented
184#19099152C2214yescomplemented
185#19099152C2214yescomplemented
186#19099146C2214yescomplemented
187#19099143C2212yescomplemented
188#19099143C2212yescomplemented
189#19099138C2212yescomplemented
190#19099137C2212yescomplemented
191#19099132C2212yes—
192#19099132C2214yescomplemented
193#19099131C2212yescomplemented
194#19099124C2214yescomplemented
195#19099119C2211yescharacteristic, complemented
196#19099118C2211yescharacteristic, complemented
197#19099118C2211yescharacteristic, complemented
198#19099117C2211yescharacteristic, complemented
199#19099116C2212yescomplemented
200#19099115C2211yescharacteristic, complemented
201#19099114C2212yescomplemented
202#19099114C2211yescharacteristic, complemented
203#19099114C2211yescharacteristic, complemented
204#19099113C2211yescharacteristic
205#19099113C2212yescomplemented
206#19099112C2211yescharacteristic, complemented
207#19099110C2211yescharacteristic, complemented
208#19099108C2211yescharacteristic
209#19099100C2211yescharacteristic
210#19099100C2211yescharacteristic
211#19099100C2211yescharacteristic
212#19099100C2211yescharacteristic
213#19099100C2212yescomplemented
214#19099100C2212yescomplemented
215#19099100C2212yescomplemented
216#19099100C2212yescomplemented
217#19099100C2212yescomplemented
218#19099100C2212yescomplemented
219#19099100C2212yescomplemented
220#19099100C2211yescharacteristic, complemented
221#19099100C2211yescharacteristic, complemented
222#19099100C2211yescharacteristic, complemented
223#19099100C2212yescomplemented
224#19099100C2211yescharacteristic, complemented
225#19099100C2214yescomplemented
226#19099099C2212yescomplemented
227#19099099C2212yescomplemented
228#19099099C2212yescomplemented
229#19099099C2212yescomplemented
230#19099098C2212yescomplemented
231#19099098C2212yescomplemented
232#19099098C2214yescomplemented
233#19099098C2211yescharacteristic, complemented
234#19099097C2212yescomplemented
235#19099097C2211yescharacteristic, complemented
236#19099096C2212yescomplemented
237#19099096C2212yescomplemented
238#19099092C2211yescharacteristic, complemented
239#19099091C2214yescomplemented
240#19099091C2212yescomplemented
241#19099090C2212yescomplemented
242C2×#14579156C2212yescomplemented
243#126×D79C2214yescomplemented
244C2×#14579152C2211yescharacteristic, complemented
245#125×D79C2212yescomplemented
246C2×#14579150C2211yescharacteristic
247C2×#14579150C2212yescomplemented
248#19099076C2212yes—
249#19099076C2212yescomplemented
250#19099076C2212yescomplemented
251#19099076C2211yescharacteristic, complemented
252#19099076C2212yescomplemented
253#19099075C2212yescomplemented
254#19099073C2211yescharacteristic
255#19099072C2212yescomplemented
256#19099071C2212yescomplemented
257C2×#14579146C2212yescomplemented
258C2×#14579137C2211yescharacteristic, complemented
259C22⋊Q8×D79C2212yescomplemented
260C2×#14579136C2211yescharacteristic
261#121×D79C2212yes—
262#19099045C2212yescomplemented
263#19099045C2212yescomplemented
264#19099045C2212yescomplemented
265#19099045C2212yescomplemented
266#19099043C2214yescomplemented
267#19099039C2212yescomplemented
268#19099037C2212yescomplemented
269#19099035C2212yescomplemented
270#19099035C2214yescomplemented
271C4×#11929625C2211yescharacteristic, complemented
272C4×#11929625C2212yescomplemented
273C4×#11929625C2212yescomplemented
274#19099031C2212yescomplemented
275#19099031C2212yescomplemented
276C4×#11929623C2212yescomplemented
277C4×#11929623C2211yescharacteristic, complemented
278C2×C4×D316C2211yescharacteristic
279C2×C4×D316C2212yescomplemented
280C2×#14579118C2212yescomplemented
281C2×C42×D79C2211yescharacteristic, complemented
282#557×C79C2212yescomplemented
283#557×C79C2211yescharacteristic, complemented
284#557×C79C2211yescharacteristic, complemented
285#556×C79C2211yescharacteristic, complemented
286#556×C79C2212yescomplemented
287#552×C79C2214yescomplemented
288#552×C79C2212yescomplemented
289D4×Q8×C79C2212yescomplemented
290D4×Q8×C79C2211yescharacteristic, complemented
291#541×C79C2214yescomplemented
292#541×C79C2212yescomplemented
293#533×C79C2212yescomplemented
294#533×C79C2211yescharacteristic, complemented
295#529×C79C2212yes—
296#529×C79C2211yescharacteristic
297#519×C79C2212yescomplemented
298C2×C4×Q8×C79C2211yescharacteristic, complemented
299C2×#11929625C2312yes—
300C2×#11929625C2312yes—
301C2×#11929625C2312yes—
302C2×#11929625C2312yes—
303C2×#11929625C2312yes—
304C2×#11929625C2312yes—
305C2×#11929625C2311yescharacteristic
306C2×#11929624C2312yes—
307C2×#11929624C2312yes—
308C2×#11929624C2314yes—
309C2×#11929623C2312yes—
310C2×#11929623C2311yescharacteristic
311C2×Q8×D79C2312yes—
312C22×D316C2311yescharacteristic
313C22×D316C2312yes—
314C22×D316C2312yes—
315C2×D4×D79C2314yes—
316C2×D4×D79C2312yes—
317C22×C4×D79C2311yescharacteristic
318C22×C4×D79C2311yescharacteristic
319C22×C4×D79C2311yescharacteristic
320C22×C4×D79C2312yes—
321#14579161C2312yes—
322#14579161C2311yescharacteristic
323#14579160C2314yes—
324#14579160C2314yes—
325#14579160C2312yes—
326#14579160C2311yescharacteristic
327#14579160C2311yescharacteristic
328#14579160C2312yes—
329#14579159C2314yes—
330#14579159C2311yescharacteristic
331#14579158C2312yes—
332#14579158C2314yes—
333#14579158C2312yes—
334#14579158C2314yes—
335#14579158C2311yescharacteristic
336#14579157C2311yescharacteristic
337#14579156C2314yes—
338#14579156C2312yes—
339#14579156C2314yes—
340#14579156C2314yes—
341#14579156C2314yes—
342#14579156C2314yes—
343#14579156C2314yes—
344#14579156C2314yes—
345#14579156C2314yes—
346#14579156C2314yes—
347#14579156C2314yes—
348#14579156C2314yes—
349#14579156C2314yes—
350#14579156C2312yes—
351#14579156C2314yes—
352#14579156C2312yes—
353#14579156C2314yes—
354#14579156C2312yes—
355#14579156C2312yes—
356#14579156C2312yes—
357#14579156C2312yes—
358#14579156C2312yes—
359#14579156C2312yes—
360#14579155C2314yes—
361#14579155C2312yes—
362#14579155C2314yes—
363#14579155C2314yes—
364#14579155C2314yes—
365#14579155C2314yes—
366#14579155C2314yes—
367#14579154C2314yes—
368#14579154C2314yes—
369#14579154C2312yes—
370#14579153C2314yes—
371#14579153C2312yes—
372#14579153C2312yes—
373#14579153C2311yescharacteristic
374#14579152C2312yes—
375#14579152C2314yes—
376#14579152C2312yes—
377#14579152C2311yescharacteristic
378#14579152C2312yes—
379#14579152C2311yescharacteristic
380#14579152C2311yescharacteristic
381#14579152C2312yes—
382#14579152C2311yescharacteristic
383#14579151C2314yes—
384#14579151C2314yes—
385#14579151C2314yes—
386#14579151C2312yes—
387#14579151C2314yes—
388#14579151C2314yes—
389#14579151C2314yes—
390#14579151C2314yes—
391#14579151C2312yes—
392#14579150C2314yes—
393#14579150C2312yes—
394#14579150C2314yes—
395#14579150C2312yes—
396#14579150C2314yes—
397#14579150C2314yes—
398#14579150C2314yes—
399#14579150C2314yes—
400#14579150C2312yes—
401#14579150C2312yes—
402#14579150C2311yescharacteristic
403#14579150C2311yescharacteristic
404#14579150C2312yes—
405#14579150C2311yescharacteristic
406#14579150C2311yescharacteristic
407#14579150C2312yes—
408#14579149C2312yes—
409#14579149C2314yes—
410#14579149C2312yes—
411#14579149C2314yes—
412#14579149C2314yes—
413#14579149C2314yes—
414#14579149C2314yes—
415#14579149C2314yes—
416#14579149C2314yes—
417#14579149C2311yescharacteristic
418#14579147C2314yes—
419#14579147C2312yes—
420#14579147C2314yes—
421#14579147C2314yes—
422#14579147C2312yes—
423#14579146C2314yes—
424#14579146C2314yes—
425#14579146C2314yes—
426#14579146C2312yes—
427#14579146C2314yes—
428#14579146C2314yes—
429#14579146C2314yes—
430#14579146C2312yes—
431#14579146C2314yes—
432#14579146C2314yes—
433#14579146C2314yes—
434#14579146C2314yes—
435#14579146C2314yes—
436#14579146C2314yes—
437#14579146C2314yes—
438#14579146C2314yes—
439#14579146C2314yes—
440#14579146C2314yes—
441#14579146C2314yes—
442#14579146C2312yes—
443#14579146C2314yes—
444#14579146C2314yes—
445#14579146C2312yes—
446#14579146C2312yes—
447#14579146C2314yes—
448#14579146C2314yes—
449#14579146C2314yes—
450#14579146C2314yes—
451#14579146C2312yes—
452#14579146C2314yes—
453#14579146C2312yes—
454#14579146C2312yes—
455#14579146C2312yes—
456#14579146C2314yes—
457#14579146C2312yes—
458#14579145C2314yes—
459#14579145C2314yes—
460#14579145C2314yes—
461#14579144C2314yes—
462#14579144C2314yes—
463#14579144C2314yes—
464#14579144C2312yes—
465#14579143C2312yes—
466#14579143C2314yes—
467#14579143C2314yes—
468#14579143C2314yes—
469#14579143C2312yes—
470#14579141C2314yes—
471#14579141C2314yes—
472#14579141C2312yes—
473#14579141C2314yes—
474#14579141C2312yes—
475#14579141C2311yescharacteristic
476#14579141C2312yes—
477#14579140C2311yescharacteristic
478#14579139C2314yes—
479#14579139C2314yes—
480#14579139C2314yes—
481#14579139C2314yes—
482#14579139C2314yes—
483#14579139C2314yes—
484#14579139C2314yes—
485#14579139C2312yes—
486#14579139C2314yes—
487#14579139C2314yes—
488#14579139C2314yes—
489#14579139C2314yes—
490#14579139C2314yes—
491#14579139C2312yes—
492#14579139C2312yes—
493#14579138C2314yes—
494#14579138C2314yes—
495#14579138C2314yes—
496#14579138C2312yes—
497#14579137C2311yescharacteristic
498#14579137C2312yes—
499#14579137C2312yes—
500#14579137C2312yes—
501#14579137C2311yescharacteristic
502#14579137C2312yes—
503#14579137C2314yes—
504#14579137C2312yes—
505#14579137C2312yes—
506#14579137C2312yes—
507#14579137C2314yes—
508#14579137C2314yes—
509#14579137C2311yescharacteristic
510#14579137C2311yescharacteristic
511#14579137C2312yes—
512#14579137C2311yescharacteristic
513#14579137C2312yes—
514#14579136C2311yescharacteristic
515#14579136C2314yes—
516#14579136C2312yes—
517#14579136C2314yes—
518#14579136C2312yes—
519#14579136C2314yes—
520#14579136C2314yes—
521#14579136C2314yes—
522#14579136C2314yes—
523#14579136C2314yes—
524#14579136C2314yes—
525#14579136C2314yes—
526#14579136C2312yes—
527#14579136C2314yes—
528#14579136C2314yes—
529#14579136C2314yes—
530#14579136C2312yes—
531#14579136C2314yes—
532#14579136C2314yes—
533#14579136C2314yes—
534#14579136C2312yes—
535#14579136C2314yes—
536#14579136C2311yescharacteristic
537#14579136C2312yes—
538#14579136C2312yes—
539#14579136C2312yes—
540#14579136C2311yescharacteristic
541#14579136C2312yes—
542#14579136C2311yescharacteristic
543#14579136C2311yescharacteristic
544#14579136C2312yes—
545#14579136C2312yes—
546#14579135C2312yes—
547#14579135C2312yes—
548#14579135C2314yes—
549#14579135C2314yes—
550#14579135C2314yes—
551#14579135C2312yes—
552#14579135C2312yes—
553#14579135C2311yescharacteristic
554#14579134C2314yes—
555#14579134C2314yes—
556#14579134C2314yes—
557#14579134C2314yes—
558#14579134C2312yes—
559#14579134C2314yes—
560#14579134C2314yes—
561#14579134C2314yes—
562#14579134C2314yes—
563#14579134C2312yes—
564#14579134C2312yes—
565#14579133C2314yes—
566#14579133C2312yes—
567#14579132C2312yes—
568#14579132C2311yescharacteristic
569#14579131C2314yes—
570#14579131C2314yes—
571#14579131C2314yes—
572#14579131C2314yes—
573#14579131C2314yes—
574#14579131C2314yes—
575#14579131C2314yes—
576#14579131C2312yes—
577#14579131C2314yes—
578#14579131C2314yes—
579#14579129C2312yes—
580Q8×Dic79C2311yescharacteristic
581Q8×Dic79C2312yes—
582Q8×Dic79C2312yes—
583Q8×Dic79C2312yes—
584Q8×Dic79C2312yes—
585C4×Dic158C2312yes—
586C4×Dic158C2314yes—
587C4×Dic158C2314yes—
588C4×Dic158C2314yes—
589C4×Dic158C2311yescharacteristic
590C4×Dic158C2312yes—
591#14579126C2312yes—
592#14579126C2312yes—
593#14579126C2311yescharacteristic
594#14579126C2314yes—
595#14579126C2312yes—
596#14579126C2312yes—
597#14579126C2312yes—
598C4×D316C2312yes—
599C4×D316C2314yes—
600C4×D316C2314yes—
601C4×D316C2314yes—
602C4×D316C2314yes—
603C4×D316C2314yes—
604C4×D316C2314yes—
605C4×D316C2312yes—
606C4×D316C2311yescharacteristic
607C4×D316C2312yes—
608C4×D316C2314yes—
609C4×D316C2312yes—
610C4×D316C2311yescharacteristic
611C4×D316C2312yes—
612C4×D316C2312yes—
613C4×D316C2312yes—
614C4×D316C2314yes—
615C4×D316C2311yescharacteristic
616C4×D316C2312yes—
617C4×D316C2312yes—
618C4×D316C2312yes—
619C4×D316C2312yes—
620C4×D316C2311yescharacteristic
621C4×D316C2312yes—
622C4×D316C2311yescharacteristic
623C4×D316C2312yes—
624C4×D316C2312yes—
625C4×D316C2312yes—
626C4×D316C2314yes—
627C4×D316C2312yes—
628C4×D316C2312yes—
629C4×D316C2312yes—
630D4×Dic79C2312yes—
631D4×Dic79C2311yescharacteristic
632#14579123C2312yes—
633#14579123C2314yes—
634#14579123C2314yes—
635#14579123C2314yes—
636#14579123C2312yes—
637#14579123C2314yes—
638#14579123C2314yes—
639#14579123C2311yescharacteristic
640#14579123C2312yes—
641#14579123C2312yes—
642#14579123C2312yes—
643#14579123C2314yes—
644#14579123C2314yes—
645#14579123C2314yes—
646#14579123C2312yes—
647#14579123C2314yes—
648#14579123C2312yes—
649#14579123C2312yes—
650#14579123C2312yes—
651C4×C22⋊D79C2314yes—
652C4×C22⋊D79C2314yes—
653C4×C22⋊D79C2314yes—
654C4×C22⋊D79C2312yes—
655C4×C22⋊D79C2312yes—
656C4×C22⋊D79C2312yes—
657(C22⋊D79)⋊C4C2312yes—
658(C22⋊D79)⋊C4C2312yes—
659(C22⋊D79)⋊C4C2312yes—
660(C22⋊D79)⋊C4C2314yes—
661(C22⋊D79)⋊C4C2314yes—
662(C22⋊D79)⋊C4C2314yes—
663(C22⋊D79)⋊C4C2314yes—
664(C22⋊D79)⋊C4C2314yes—
665(C22⋊D79)⋊C4C2314yes—
666(C22⋊D79)⋊C4C2312yes—
667(C22⋊D79)⋊C4C2312yes—
668(C22⋊D79)⋊C4C2312yes—
669(C22⋊D79)⋊C4C2312yes—
670#14579120C2312yes—
671#14579119C2314yes—
672#14579119C2314yes—
673#14579119C2314yes—
674#14579119C2314yes—
675#14579119C2312yes—
676#14579119C2312yes—
677#14579119C2314yes—
678#14579119C2314yes—
679#14579119C2312yes—
680#14579119C2312yes—
681#14579119C2312yes—
682#14579119C2311yescharacteristic
683#14579119C2312yes—
684#14579119C2311yescharacteristic
685#14579118C2312yes—
686#14579118C2312yes—
687#14579118C2312yes—
688#14579118C2314yes—
689#14579118C2314yes—
690#14579118C2312yes—
691#14579118C2312yes—
692#14579118C2312yes—
693#14579118C2314yes—
694#14579118C2314yes—
695#14579118C2314yes—
696#14579118C2314yes—
697#14579118C2312yes—
698#14579118C2314yes—
699#14579118C2312yes—
700#14579118C2312yes—
701#14579118C2312yes—
702#14579117C2312yes—
703#14579117C2312yes—
704#14579117C2312yes—
705C2×C4⋊Dic79C2312yes—
706C2×C4⋊Dic79C2311yescharacteristic
707C2×Dic79⋊C4C2312yes—
708C2×Dic79⋊C4C2312yes—
709C4⋊C4×D79C2312yes—
710C4⋊C4×D79C2312yes—
711C4⋊C4×D79C2314yes—
712C4⋊C4×D79C2314yes—
713C4⋊C4×D79C2314yes—
714C4⋊C4×D79C2314yes—
715C4⋊C4×D79C2314yes—
716C4⋊C4×D79C2314yes—
717C4⋊C4×D79C2312yes—
718C4⋊C4×D79C2312yes—
719C2×(C2×D79)⋊C4C2312yes—
720C2×(C2×D79)⋊C4C2312yes—
721C2×(C2×D79)⋊C4C2314yes—
722C2×(C2×D79)⋊C4C2314yes—
723C2×(C2×D79)⋊C4C2312yes—
724C2×(C2×D79)⋊C4C2312yes—
725C2×(C2×D79)⋊C4C2312yes—
726C22⋊C4×D79C2314yes—
727C22⋊C4×D79C2314yes—
728C22⋊C4×D79C2314yes—
729C22⋊C4×D79C2314yes—
730C22⋊C4×D79C2314yes—
731C2×C4×Dic79C2311yescharacteristic
732C2×C4×Dic79C2311yescharacteristic
733C2×C4×Dic79C2311yescharacteristic
734C2×C4×Dic79C2312yes—
735C42×D79C2311yescharacteristic
736C42×D79C2311yescharacteristic
737C42×D79C2311yescharacteristic
738C42×D79C2311yescharacteristic
739C42×D79C2311yescharacteristic
740C42×D79C2311yescharacteristic
741C42×D79C2311yescharacteristic
742C42×D79C2311yescharacteristic
743C42×D79C2312yes—
744C42×D79C2314yes—
745C22×Q8×C79C2312yes—
746C22×Q8×C79C2311yescharacteristic
747C4⋊Q8×C79C2312yes—
748C4⋊Q8×C79C2312yes—
749C4⋊Q8×C79C2314yes—
750C4⋊Q8×C79C2312yes—
751C4⋊Q8×C79C2311yescharacteristic
752C4⋊Q8×C79C2311yescharacteristic
753#126×C79C2312yes—
754#126×C79C2314yes—
755#126×C79C2314yes—
756#126×C79C2314yes—
757#126×C79C2314yes—
758#125×C79C2314yes—
759#125×C79C2312yes—
760#125×C79C2314yes—
761#125×C79C2314yes—
762#125×C79C2314yes—
763#125×C79C2312yes—
764#125×C79C2312yes—
765#125×C79C2314yes—
766#125×C79C2311yescharacteristic
767#124×C79C2312yes—
768#124×C79C2311yescharacteristic
769#123×C79C2314yes—
770#123×C79C2312yes—
771C22⋊Q8×C79C2312yes—
772C22⋊Q8×C79C2312yes—
773C22⋊Q8×C79C2314yes—
774C22⋊Q8×C79C2314yes—
775C22⋊Q8×C79C2314yes—
776C22⋊Q8×C79C2312yes—
777C22⋊Q8×C79C2312yes—
778C22⋊Q8×C79C2311yescharacteristic
779#121×C79C2311yescharacteristic
780C4×Q8×C79C2312yes—
781C4×Q8×C79C2312yes—
782C4×Q8×C79C2311yescharacteristic
783C4×Q8×C79C2312yes—
784C4×Q8×C79C2312yes—
785C4×Q8×C79C2312yes—
786C4×Q8×C79C2312yes—
787C4×Q8×C79C2312yes—
788C4×Q8×C79C2314yes—
789C4×Q8×C79C2312yes—
790C4×Q8×C79C2311yescharacteristic
791C4×Q8×C79C2311yescharacteristic
792C4×Q8×C79C2311yescharacteristic
793C4×Q8×C79C2312yes—
794C4×Q8×C79C2311yescharacteristic
795C4×Q8×C79C2314yes—
796C4×D4×C79C2314yes—
797C4×D4×C79C2312yes—
798C4×D4×C79C2312yes—
799C4×D4×C79C2311yescharacteristic
800#117×C79C2314yes—
801#117×C79C2312yes—
802#117×C79C2314yes—
803#117×C79C2312yes—
804#117×C79C2314yes—
805#117×C79C2312yes—
806C2×C4⋊C4×C79C2311yescharacteristic
807C2×C4⋊C4×C79C2312yes—
808C2×C42×C79C2311yescharacteristic
809C2×C42×C79C2312yes—
810C23×D79C2412yes—
811C23×D79C2411yescharacteristic
812C23×D79C2414yes—
813#11929625—44no—
814#11929625—44no—
815#11929625—44no—
816#11929625—42no—
817#11929625—44no—
818#11929625—44no—
819#11929625—44no—
820#11929624—44no—
821#11929624—48no—
822#11929624—44no—
823#11929623—44no—
824#11929623—42no—
825C2×Dic158C2411yescharacteristic
826C2×Dic158C2414yes—
827C2×Dic158C2412yes—
828C2×Dic158C2412yes—
829C2×Dic158C2412yes—
830C2×Dic158C2414yes—
831Q8×D79—44no—
832C2×D316—44no—
833C2×D316—42no—
834C2×D316—44no—
835C2×D316C2411yescharacteristic
836C2×D316C2411yescharacteristic
837C2×D316C2412yes—
838C2×D316C2412yes—
839C2×D316C2411yescharacteristic
840C2×D316C2412yes—
841C2×D316C2412yes—
842C2×D316C2414yes—
843C2×D316C2414yes—
844C2×D316C2414yes—
845C2×D316C2414yes—
846C2×D316C2414yes—
847C2×D316C2412yes—
848C2×D316C2414yes—
849C2×D316C2414yes—
850C2×D316C2414yes—
851C2×D316C2414yes—
852C2×D316C2412yes—
853C2×D316C2412yes—
854C2×D316C2412yes—
855C2×D316C2412yes—
856C2×D316C2412yes—
857C2×C22⋊D79C2412yes—
858C2×C22⋊D79C2414yes—
859C2×C22⋊D79C2412yes—
860C2×C22⋊D79C2412yes—
861C2×C22⋊D79C2412yes—
862C2×C22⋊D79C2412yes—
863C2×C22⋊D79C2414yes—
864C2×C22⋊D79C2414yes—
865D4×D79—48no—
866D4×D79—44no—
867C22×Dic79C2411yescharacteristic
868C22×Dic79C2412yes—
869C22×Dic79C2412yes—
870C22×Dic79C2411yescharacteristic
871C22×Dic79C2411yescharacteristic
872C22×Dic79C2412yes—
873C2×C4×D79—42no—
874C2×C4×D79—42no—
875C2×C4×D79—44no—
876C2×C4×D79—42no—
877C2×C4×D79C2412yes—
878C2×C4×D79C2411yescharacteristic
879C2×C4×D79C2411yescharacteristic
880C2×C4×D79C2412yes—
881C2×C4×D79C2411yescharacteristic
882C2×C4×D79C2411yescharacteristic
883C2×C4×D79C2412yes—
884C2×C4×D79C2414yes—
885C2×C4×D79C2412yes—
886C2×C4×D79C2414yes—
887C2×C4×D79C2414yes—
888C2×C4×D79C2414yes—
889C2×C4×D79C2414yes—
890C2×C4×D79C2414yes—
891C2×C4×D79C2412yes—
892C2×C4×D79C2414yes—
893C2×C4×D79C2414yes—
894C2×C4×D79C2414yes—
895C2×C4×D79C2414yes—
896C2×C4×D79C2411yescharacteristic
897C2×C4×D79C2411yescharacteristic
898C2×C4×D79C2411yescharacteristic
899C2×C4×D79C2411yescharacteristic
900C2×C4×D79C2411yescharacteristic
901C2×C4×D79C2411yescharacteristic
902C2×C4×D79C2411yescharacteristic
903C2×C4×D79C2411yescharacteristic
904C2×C4×D79C2412yes—
905C2×C4×D79C2414yes—
906C2×C4×D79C2412yes—
907C4⋊Dic79C2412yes—
908C4⋊Dic79C2412yes—
909C4⋊Dic79C2411yescharacteristic
910C4⋊Dic79C2411yescharacteristic
911C4⋊Dic79C2412yes—
912C4⋊Dic79C2412yes—
913C4⋊Dic79C2414yes—
914C4⋊Dic79C2412yes—
915C4⋊Dic79C2414yes—
916C4⋊Dic79C2414yes—
917C4⋊Dic79C2411yescharacteristic
918C4⋊Dic79C2412yes—
919C4⋊Dic79C2412yes—
920C4⋊Dic79C2412yes—
921C4⋊Dic79C2411yescharacteristic
922C4⋊Dic79C2412yes—
923C4⋊Dic79C2414yes—
924Dic79⋊C4C2412yes—
925Dic79⋊C4C2412yes—
926Dic79⋊C4C2412yes—
927Dic79⋊C4C2412yes—
928Dic79⋊C4C2412yes—
929Dic79⋊C4C2414yes—
930Dic79⋊C4C2414yes—
931Dic79⋊C4C2414yes—
932Dic79⋊C4C2414yes—
933Dic79⋊C4C2414yes—
934Dic79⋊C4C2414yes—
935Dic79⋊C4C2414yes—
936Dic79⋊C4C2412yes—
937Dic79⋊C4C2412yes—
938Dic79⋊C4C2412yes—
939Dic79⋊C4C2412yes—
940Dic79⋊C4C2412yes—
941Dic79⋊C4C2412yes—
942Dic79⋊C4C2412yes—
943Dic79⋊C4C2412yes—
944Dic79⋊C4C2412yes—
945Dic79⋊C4C2412yes—
946Dic79⋊C4C2412yes—
947Dic79⋊C4C2412yes—
948Dic79⋊C4C2414yes—
949Dic79⋊C4C2412yes—
950Dic79⋊C4C2414yes—
951Dic79⋊C4C2414yes—
952C22⋊Dic79C2412yes—
953C22⋊Dic79C2412yes—
954C22⋊Dic79C2412yes—
955C22⋊Dic79C2414yes—
956(C2×D79)⋊C4C2412yes—
957(C2×D79)⋊C4C2412yes—
958(C2×D79)⋊C4C2412yes—
959(C2×D79)⋊C4C2414yes—
960(C2×D79)⋊C4C2414yes—
961(C2×D79)⋊C4C2414yes—
962(C2×D79)⋊C4C2414yes—
963(C2×D79)⋊C4C2414yes—
964(C2×D79)⋊C4C2414yes—
965(C2×D79)⋊C4C2412yes—
966(C2×D79)⋊C4C2412yes—
967(C2×D79)⋊C4C2412yes—
968(C2×D79)⋊C4C2412yes—
969(C2×D79)⋊C4C2412yes—
970(C2×D79)⋊C4C2412yes—
971(C2×D79)⋊C4C2412yes—
972(C2×D79)⋊C4C2412yes—
973(C2×D79)⋊C4C2412yes—
974(C2×D79)⋊C4C2414yes—
975(C2×D79)⋊C4C2414yes—
976(C2×D79)⋊C4C2412yes—
977(C2×D79)⋊C4C2412yes—
978(C2×D79)⋊C4C2414yes—
979(C2×D79)⋊C4C2414yes—
980(C2×D79)⋊C4C2412yes—
981(C2×D79)⋊C4C2412yes—
982(C2×D79)⋊C4C2412yes—
983(C2×D79)⋊C4C2412yes—
984(C2×D79)⋊C4C2412yes—
985(C2×D79)⋊C4C2412yes—
986(C2×D79)⋊C4C2412yes—
987(C2×D79)⋊C4C2414yes—
988(C2×D79)⋊C4C2412yes—
989(C2×D79)⋊C4C2412yes—
990(C2×D79)⋊C4C2412yes—
991(C2×D79)⋊C4C2414yes—
992(C2×D79)⋊C4C2412yes—
993(C2×D79)⋊C4C2414yes—
994(C2×D79)⋊C4C2414yes—
995(C2×D79)⋊C4C2414yes—
996(C2×D79)⋊C4C2414yes—
997(C2×D79)⋊C4C2412yes—
998(C2×D79)⋊C4C2412yes—
999(C2×D79)⋊C4C2412yes—
1000(C2×D79)⋊C4C2414yes—
1001(C2×D79)⋊C4C2414yes—
1002(C2×D79)⋊C4C2412yes—
1003(C2×D79)⋊C4C2414yes—
1004(C2×D79)⋊C4C2414yes—
1005(C2×D79)⋊C4C2414yes—
1006(C2×D79)⋊C4C2414yes—
1007(C2×D79)⋊C4C2412yes—
1008C4×Dic79C2411yescharacteristic
1009C4×Dic79C2411yescharacteristic
1010C4×Dic79C2411yescharacteristic
1011C4×Dic79C2411yescharacteristic
1012C4×Dic79C2411yescharacteristic
1013C4×Dic79C2411yescharacteristic
1014C4×Dic79C2411yescharacteristic
1015C4×Dic79C2411yescharacteristic
1016C4×Dic79C2411yescharacteristic
1017C4×Dic79C2411yescharacteristic
1018C4×Dic79C2411yescharacteristic
1019C4×Dic79C2411yescharacteristic
1020C4×Dic79C2412yes—
1021C4×Dic79C2412yes—
1022C4×Dic79C2414yes—
1023C4×Dic79C2414yes—
1024C4×Dic79C2412yes—
1025C4×Dic79C2412yes—
1026C4×Dic79C2412yes—
1027C4×Dic79C2414yes—
1028C4×Dic79C2414yes—
1029C4×Dic79C2414yes—
1030C2×Q8×C79—42no—
1031C2×Q8×C79—44no—
1032C2×Q8×C79C2412yes—
1033C2×Q8×C79C2411yescharacteristic
1034C2×Q8×C79C2412yes—
1035C2×Q8×C79C2411yescharacteristic
1036C2×Q8×C79C2411yescharacteristic
1037C2×Q8×C79C2412yes—
1038C2×Q8×C79C2414yes—
1039C2×D4×C79C2412yes—
1040C2×D4×C79C2411yescharacteristic
1041C22×C4×C79C2411yescharacteristic
1042C22×C4×C79C2412yes—
1043C22×C4×C79C2412yes—
1044C22×C4×C79C2411yescharacteristic
1045C22×C4×C79C2411yescharacteristic
1046C22×C4×C79C2412yes—
1047C22×C4×C79C2414yes—
1048C4⋊C4×C79C2411yescharacteristic
1049C4⋊C4×C79C2412yes—
1050C4⋊C4×C79C2411yescharacteristic
1051C4⋊C4×C79C2412yes—
1052C4⋊C4×C79C2412yes—
1053C4⋊C4×C79C2412yes—
1054C4⋊C4×C79C2412yes—
1055C4⋊C4×C79C2412yes—
1056C4⋊C4×C79C2414yes—
1057C4⋊C4×C79C2414yes—
1058C4⋊C4×C79C2412yes—
1059C4⋊C4×C79C2412yes—
1060C4⋊C4×C79C2414yes—
1061C4⋊C4×C79C2414yes—
1062C4⋊C4×C79C2412yes—
1063C4⋊C4×C79C2414yes—
1064C4⋊C4×C79C2412yes—
1065C4⋊C4×C79C2412yes—
1066C4⋊C4×C79C2411yescharacteristic
1067C4⋊C4×C79C2414yes—
1068C4⋊C4×C79C2412yes—
1069C4⋊C4×C79C2411yescharacteristic
1070C4⋊C4×C79C2414yes—
1071C4⋊C4×C79C2414yes—
1072C4⋊C4×C79C2414yes—
1073C4⋊C4×C79C2414yes—
1074C4⋊C4×C79C2412yes—
1075C22⋊C4×C79C2412yes—
1076C22⋊C4×C79C2412yes—
1077C22⋊C4×C79C2414yes—
1078C22⋊C4×C79C2414yes—
1079C22⋊C4×C79C2412yes—
1080C22⋊C4×C79C2414yes—
1081C22⋊C4×C79C2412yes—
1082C22⋊C4×C79C2414yes—
1083C22⋊C4×C79C2412yes—
1084C42×C79C2411yescharacteristic
1085C42×C79C2412yes—
1086C42×C79C2411yescharacteristic
1087C42×C79C2412yes—
1088C42×C79C2411yescharacteristic
1089C42×C79C2412yes—
1090C42×C79C2411yescharacteristic
1091C42×C79C2412yes—
1092C42×C79C2414yes—
1093C42×C79C2414yes—
1094C42×C79C2414yes—
1095C42×C79C2412yes—
1096C42×C79C2414yes—
1097C23×C79C2512yes—
1098C23×C79C2511yescharacteristic
1099C22×D79—22no—
1100C22×D79—24no—
1101C22×D79—41no—
1102C22×D79—41no—
1103C22×D79—42no—
1104C22×D79—42no—
1105C22×D79—44no—
1106C22×D79—44no—
1107C22×D79—44no—
1108C22×D79C2512yes—
1109C22×D79C2514yes—
1110C22×D79C2512yes—
1111C22×D79C2511yescharacteristic
1112C22×D79C2511yescharacteristic
1113C22×D79C2512yes—
1114Q8×C79—24no—
1115Q8×C79—22no—
1116Q8×C79—24no—
1117Q8×C79—22no—
1118Q8×C79—22no—
1119Q8×C79—44no—
1120Q8×C79—42no—
1121D4×C79—24no—
1122D4×C79—22no—
1123C2×C4×C79—22no—
1124C2×C4×C79—24no—
1125C2×C4×C79—22no—
1126C2×C4×C79—22no—
1127C2×C4×C79—24no—
1128C2×C4×C79—42no—
1129C2×C4×C79—44no—
1130C2×C4×C79C2512yes—
1131C2×C4×C79C2511yescharacteristic
1132C2×C4×C79C2514yes—
1133C2×C4×C79C2512yes—
1134C2×C4×C79C2511yescharacteristic
1135C2×C4×C79C2511yescharacteristic
1136C2×C4×C79C2511yescharacteristic
1137C2×C4×C79C2514yes—
1138C2×C4×C79C2512yes—
1139C2×C4×C79C2512yes—
1140C2×C4×C79C2512yes—
1141C2×C4×C79C2512yes—
1142C2×C4×C79C2512yes—
1143C2×C4×C79C2511yescharacteristic
1144C2×C4×C79C2511yescharacteristic
1145C22⋊D79—28no—
1146C22⋊D79—24no—
1147C22⋊D79—44no—
1148C22⋊D79—44no—
1149C22⋊D79—42no—
1150C22⋊D79—42no—
1151C22⋊D79—42no—
1152C22⋊D79—42no—
1153C2×Dic79—22no—
1154C2×Dic79—41no—
1155C2×Dic79—42no—
1156C2×Dic79—41no—
1157C2×Dic79—42no—
1158C2×Dic79—42no—
1159C2×Dic79C2511yescharacteristic
1160C2×Dic79C2511yescharacteristic
1161C2×Dic79C2511yescharacteristic
1162C2×Dic79C2511yescharacteristic
1163C2×Dic79C2512yes—
1164C2×Dic79C2512yes—
1165C2×Dic79C2511yescharacteristic
1166C2×Dic79C2511yescharacteristic
1167C2×Dic79C2514yes—
1168C2×Dic79C2512yes—
1169C2×Dic79C2512yes—
1170C2×Dic79C2512yes—
1171D316—24no—
1172D316—22no—
1173D316—22no—
1174D316—24no—
1175D316—22no—
1176D316—44no—
1177D316—44no—
1178D316—42no—
1179D316—42no—
1180D316—42no—
1181D316—42no—
1182D316—42no—
1183D316—42no—
1184D316—42no—
1185D316—44no—
1186D316—44no—
1187D316—44no—
1188D316—44no—
1189D316—44no—
1190D316—44no—
1191D316—42no—
1192D316—44no—
1193C4×D79—24no—
1194C4×D79—24no—
1195C4×D79—22no—
1196C4×D79—22no—
1197C4×D79—22no—
1198C4×D79—22no—
1199C4×D79—24no—
1200C4×D79—41no—
1201C4×D79—41no—
1202C4×D79—41no—
1203C4×D79—42no—
1204C4×D79—42no—
1205C4×D79—41no—
1206C4×D79—41no—
1207C4×D79—41no—
1208C4×D79—41no—
1209C4×D79—41no—
1210C4×D79—44no—
1211C4×D79—44no—
1212C4×D79—42no—
1213C4×D79—44no—
1214C4×D79—44no—
1215C4×D79—44no—
1216C4×D79—44no—
1217C4×D79—44no—
1218C4×D79—44no—
1219C4×D79—44no—
1220C4×D79—44no—
1221C4×D79—44no—
1222C4×D79—42no—
1223Dic158—22no—
1224Dic158—44no—
1225Dic158—42no—
1226Dic158—42no—
1227Dic158—44no—
1228Dic158—42no—
1229C22×C79—21no—
1230C22×C79—21no—
1231C22×C79—22no—
1232C22×C79—22no—
1233C22×C79—22no—
1234C22×C79#58512yes—
1235C22×C79C2611yescharacteristic
1236C2×D79—22no—
1237C2×D79—24no—
1238C2×D79—22no—
1239C2×D79—21no—
1240C2×D79—21no—
1241C2×D79—24no—
1242C2×D79—22no—
1243C2×D79—22no—
1244C2×D79—21no—
1245C2×D79—21no—
1246C2×D79—22no—
1247C2×D79—22no—
1248C2×D79—22no—
1249C2×D79—21no—
1250C2×D79—21no—
1251C2×D79—22no—
1252C2×D79—24no—
1253C2×D79—22no—
1254C2×D79—44no—
1255C2×D79—84no—
1256C2×D79—164no—
1257C4×C79—22no—
1258C4×C79—21no—
1259C4×C79—21no—
1260C4×C79—22no—
1261C4×C79—21no—
1262C4×C79—21no—
1263C4×C79—22no—
1264C4×C79—22no—
1265C4×C79—22no—
1266C4×C79—24no—
1267C4×C79—22no—
1268C4×C79—24no—
1269C4×C79—22no—
1270C4×C79#58512yes—
1271C4×C79#58512yes—
1272Dic79—24no—
1273Dic79—22no—
1274Dic79—21no—
1275Dic79—21no—
1276Dic79—22no—
1277Dic79—22no—
1278Dic79—22no—
1279Dic79—22no—
1280Dic79—21no—
1281Dic79—21no—
1282Dic79—21no—
1283Dic79—21no—
1284#62827—791nomaximal, Sylow
1285C2×C79—22no—
1286C2×C79—42no—
1287C2×C79C2×#58511yescharacteristic
1288C2×C79C2×#58511yescharacteristic
1289C2×C79C2×#58511yescharacteristic
1290D79—42no—
1291D79—41no—
1292D79—41no—
1293D79—42no—
1294D79—42no—
1295D79—44no—
1296#3566—794no—
1297#3566—794no—
1298#3565—792no—
1299#3562—792no—
1300#3555—791no—
1301#3554—791no—
1302#3547—791no—
1303#3546—791no—
1304#3542—792no—
1305#3541—792no—
1306#3533—794no—
1307#3524—792no—
1308#3524—792no—
1309#3523D7911yescharacteristic, complemented
1310#3522—791no—
1311#3521—792no—
1312#3521—794no—
1313#3521—792no—
1314#3520—791no—
1315#3519—791no—
1316#3518—791no—
1317#3517—791no—
1318#3515—791no—
1319#3515—792no—
1320#3514—792no—
1321#3514—791no—
1322#3512—792no—
1323#3510—792no—
1324#3506—792no—
1325#3505—792no—
1326#3495—792no—
1327#3494—792no—
1328#3444—791no—
1329#3444—791no—
1330C2×#529—791no—
1331C79#6282711yescharacteristic, complemented, Sylow
1332#563—794no—
1333#563—794no—
1334#562—794no—
1335#562—794no—
1336#562—794no—
1337#562—794no—
1338#560—794no—
1339#560—794no—
1340#559—794no—
1341#559—794no—
1342#559—794no—
1343#559—791no—
1344#559—792no—
1345#559—792no—
1346Q82—791no—
1347#557—792no—
1348#557C2×D7911yescharacteristic, complemented
1349#557C2×D7911yescharacteristic, complemented
1350#557C2×D7912yescomplemented
1351#556—791no—
1352#556—792no—
1353#556—794no—
1354#556—792no—
1355#556—794no—
1356#556—794no—
1357#556—792no—
1358#556—792no—
1359#556C2×D7911yescharacteristic, complemented
1360#556C2×D7912yescomplemented
1361#555—792no—
1362#555—792no—
1363#555—794no—
1364#555—791no—
1365#555—794no—
1366#555—792no—
1367#554—792no—
1368#554—794no—
1369#554—792no—
1370#554—791no—
1371#554—791no—
1372#554—792no—
1373#553—794no—
1374#553—794no—
1375#553—794no—
1376#553—794no—
1377#553—792no—
1378#553—792no—
1379#553—794no—
1380#553—794no—
1381#553—794no—
1382#553—794no—
1383#553—792no—
1384#553—792no—
1385#553—794no—
1386#553—792no—
1387#553—794no—
1388#553—792no—
1389#552—794no—
1390#552—794no—
1391#552—794no—
1392#552—794no—
1393#552—794no—
1394#552—792no—
1395#552—794no—
1396#552—792no—
1397#552—794no—
1398#552—792no—
1399#552—792no—
1400#552—792no—
1401#552—794no—
1402#552C2×D7912yescomplemented
1403#552C2×D7914yescomplemented
1404#551—794no—
1405#551—794no—
1406#551—794no—
1407#551—794no—
1408#551—794no—
1409#551—794no—
1410#551—794no—
1411#551—794no—
1412#551—794no—
1413#551—794no—
1414#551—794no—
1415#550—792no—
1416#550—792no—
1417#550—791no—
1418#550—791no—
1419#550—792no—
1420D4×Q8—791no—
1421D4×Q8C2×D7912yescomplemented
1422D4×Q8C2×D7911yescharacteristic, complemented
1423#548—792no—
1424#548—792no—
1425#548—792no—
1426#548—792no—
1427#548—792no—
1428#548—792no—
1429#547—792no—
1430#547—792no—
1431#547—791no—
1432#547—791no—
1433#547—792no—
1434#547—794no—
1435#547—792no—
1436#547—794no—
1437#546—792no—
1438#546—792no—
1439#546—794no—
1440#546—794no—
1441#546—792no—
1442#546—792no—
1443#546—792no—
1444#546—794no—
1445#546—792no—
1446D42—792no—
1447D42—791no—
1448#544—792no—
1449#544—792no—
1450#542—792no—
1451#542—794no—
1452#542—794no—
1453#542—794no—
1454#542—792no—
1455#542—794no—
1456#542—792no—
1457#542—792no—
1458#542—792no—
1459#542—792no—
1460#542—792no—
1461#542—792no—
1462#542—794no—
1463#542—794no—
1464#541—792no—
1465#541—792no—
1466#541—794no—
1467#541—794no—
1468#541—792no—
1469#541C2×D7912yescomplemented
1470#541C2×D7914yescomplemented
1471#540—792no—
1472#540—792no—
1473#540—794no—
1474#540—794no—
1475#540—792no—
1476#540—792no—
1477#540—794no—
1478#539—794no—
1479#539—794no—
1480#539—794no—
1481#539—794no—
1482#539—794no—
1483#539—794no—
1484#539—794no—
1485#538—794no—
1486#538—794no—
1487#538—794no—
1488#538—794no—
1489#538—794no—
1490#538—794no—
1491#538—794no—
1492#538—794no—
1493#538—794no—
1494#537—792no—
1495#537—792no—
1496#536—792no—
1497#536—792no—
1498#535—792no—
1499#535—794no—
1500#535—792no—
1501#534—794no—
1502#533—791no—
1503#533—791no—
1504#533—791no—
1505#533—791no—
1506#533—791no—
1507#533—792no—
1508#533C2×D7911yescharacteristic, complemented
1509#533C2×D7912yescomplemented
1510#532—791no—
1511#532—791no—
1512#532—792no—
1513#532—791no—
1514#532—791no—
1515#532—791no—
1516#532—791no—
1517#532—792no—
1518#529—792no—
1519#529—792no—
1520#529—791no—
1521#529—792no—
1522#529—792no—
1523#529—794no—
1524#529—791no—
1525#529—792no—
1526#529—792no—
1527#529—792no—
1528#529—792no—
1529#529—792no—
1530#529—791no—
1531#529—791no—
1532#529—791no—
1533#529—791no—
1534#529—791no—
1535#529—792no—
1536#529—791no—
1537#529—791no—
1538#529—791no—
1539#529—792no—
1540#529—792no—
1541#529—792no—
1542#529—792no—
1543#529—792no—
1544#529—792no—
1545#529—792no—
1546#529—794no—
1547#529—792no—
1548#529—794no—
1549#529—791no—
1550#529—792no—
1551#529C2×D7911yescharacteristic
1552#529C2×D7912yes—
1553C2×#126—794no—
1554C2×#126—792no—
1555C2×#125—792no—
1556C2×#125—791no—
1557C2×#124—791no—
1558C2×#124—792no—
1559#525—792no—
1560#525—792no—
1561#525—791no—
1562#525—792no—
1563#525—792no—
1564#525—792no—
1565#525—791no—
1566#525—792no—
1567#525—792no—
1568C2×#123—792no—
1569C2×C22⋊Q8—791no—
1570C2×C22⋊Q8—792no—
1571C2×#121—792no—
1572C2×#121—791no—
1573#520—792no—
1574#520—792no—
1575#520—792no—
1576#520—792no—
1577#520—794no—
1578#519—792no—
1579#519C2×D7912yescomplemented
1580#518—792no—
1581#518—794no—
1582#518—792no—
1583C4×#41—791no—
1584C4×#41—792no—
1585C4×#41—792no—
1586C4×#41—792no—
1587C4×#41—791no—
1588C4×#41—792no—
1589C4×#41—792no—
1590C2×C4×Q8C2×D7911yescharacteristic, complemented
1591C2×C4×D4—791no—
1592C2×C4×D4—792no—
1593C2×#117—792no—
1594C22×C42—791no—
1595C2×#41—792no—
1596C2×#41—792no—
1597C2×#41—791no—
1598C2×#41—792no—
1599C2×#41—792no—
1600C2×#41—792no—
1601C2×#41—792no—
1602C2×#41—792no—
1603C2×#41—791no—
1604C2×#41—792no—
1605C2×#41—792no—
1606C2×#41—794no—
1607C22×Q8—792no—
1608C22×Q8C22×D7911yescharacteristic
1609C22×Q8C22×D7912yes—
1610C22×D4—794no—
1611C22×D4—792no—
1612C22×D4—792no—
1613C22×D4—791no—
1614C22×D4—792no—
1615C23×C4—792no—
1616C23×C4—791no—
1617C23×C4—791no—
1618C23×C4—791no—
1619C4⋊Q8—791no—
1620C4⋊Q8—794no—
1621C4⋊Q8—791no—
1622C4⋊Q8—791no—
1623C4⋊Q8—792no—
1624C4⋊Q8—792no—
1625C4⋊Q8—794no—
1626C4⋊Q8—794no—
1627C4⋊Q8—791no—
1628C4⋊Q8—792no—
1629C4⋊Q8C22×D7911yescharacteristic
1630C4⋊Q8C22×D7911yescharacteristic
1631C4⋊Q8C22×D7912yes—
1632C4⋊Q8C22×D7912yes—
1633C4⋊Q8C22×D7912yes—
1634C4⋊Q8C22×D7914yes—
1635#127—791no—
1636#127—791no—
1637#127—792no—
1638#127—792no—
1639#127—794no—
1640#127—794no—
1641#126—792no—
1642#126—792no—
1643#126—792no—
1644#126—792no—
1645#126—792no—
1646#126—792no—
1647#126—792no—
1648#126—792no—
1649#126—794no—
1650#126—794no—
1651#126—792no—
1652#126—794no—
1653#126—794no—
1654#126—794no—
1655#126—794no—
1656#126—794no—
1657#126—794no—
1658#126—794no—
1659#126—794no—
1660#126—794no—
1661#126—794no—
1662#126—794no—
1663#126—794no—
1664#126—792no—
1665#126—794no—
1666#126—794no—
1667#126—794no—
1668#126—792no—
1669#126—794no—
1670#126—794no—
1671#126—794no—
1672#126—794no—
1673#126—794no—
1674#126C22×D7914yes—
1675#126C22×D7912yes—
1676#126C22×D7914yes—
1677#126C22×D7914yes—
1678#126C22×D7914yes—
1679#125—791no—
1680#125—791no—
1681#125—792no—
1682#125—792no—
1683#125—792no—
1684#125—791no—
1685#125—791no—
1686#125—794no—
1687#125—794no—
1688#125—792no—
1689#125—792no—
1690#125—792no—
1691#125—794no—
1692#125—794no—
1693#125—794no—
1694#125—794no—
1695#125—794no—
1696#125—794no—
1697#125—792no—
1698#125—791no—
1699#125—792no—
1700#125—794no—
1701#125C22×D7912yes—
1702#125C22×D7912yes—
1703#125C22×D7911yescharacteristic
1704#125C22×D7914yes—
1705#125C22×D7912yes—
1706#125C22×D7914yes—
1707#125C22×D7914yes—
1708#125C22×D7914yes—
1709#125C22×D7914yes—
1710#124—791no—
1711#124—791no—
1712#124—792no—
1713#124—792no—
1714#124—791no—
1715#124—791no—
1716#124—792no—
1717#124—794no—
1718#124—794no—
1719#124—792no—
1720#124—792no—
1721#124—792no—
1722#124—794no—
1723#124—794no—
1724#124—794no—
1725#124—794no—
1726#124—792no—
1727#124—792no—
1728#124—794no—
1729#124—794no—
1730#124—794no—
1731#124—792no—
1732#124—791no—
1733#124—792no—
1734#124—794no—
1735#124—794no—
1736#124—794no—
1737#124—794no—
1738#124—794no—
1739#124—794no—
1740#124—794no—
1741#124C22×D7911yescharacteristic
1742#124C22×D7912yes—
1743#123—792no—
1744#123—794no—
1745#123—794no—
1746#123—794no—
1747#123—792no—
1748#123—792no—
1749#123—792no—
1750#123—792no—
1751#123—792no—
1752#123—792no—
1753#123—792no—
1754#123—792no—
1755#123—792no—
1756#123—794no—
1757#123—792no—
1758#123—794no—
1759#123—794no—
1760#123—794no—
1761#123—794no—
1762#123—794no—
1763#123—794no—
1764#123—794no—
1765#123—794no—
1766#123—794no—
1767#123—794no—
1768#123—794no—
1769#123—794no—
1770#123—794no—
1771#123—794no—
1772#123—794no—
1773#123—794no—
1774#123—794no—
1775#123—794no—
1776#123—794no—
1777#123—794no—
1778#123—794no—
1779#123—794no—
1780#123—794no—
1781#123—794no—
1782#123—792no—
1783#123—794no—
1784#123—792no—
1785#123—794no—
1786#123—794no—
1787#123—794no—
1788#123—794no—
1789#123—794no—
1790#123C22×D7912yes—
1791#123C22×D7914yes—
1792C22⋊Q8—791no—
1793C22⋊Q8—791no—
1794C22⋊Q8—792no—
1795C22⋊Q8—791no—
1796C22⋊Q8—791no—
1797C22⋊Q8—792no—
1798C22⋊Q8—792no—
1799C22⋊Q8—792no—
1800C22⋊Q8—791no—
1801C22⋊Q8—792no—
1802C22⋊Q8—792no—
1803C22⋊Q8—792no—
1804C22⋊Q8—792no—
1805C22⋊Q8—792no—
1806C22⋊Q8—794no—
1807C22⋊Q8—794no—
1808C22⋊Q8—794no—
1809C22⋊Q8—791no—
1810C22⋊Q8—794no—
1811C22⋊Q8—792no—
1812C22⋊Q8—792no—
1813C22⋊Q8—792no—
1814C22⋊Q8—791no—
1815C22⋊Q8—792no—
1816C22⋊Q8—792no—
1817C22⋊Q8—792no—
1818C22⋊Q8—794no—
1819C22⋊Q8—794no—
1820C22⋊Q8—794no—
1821C22⋊Q8—794no—
1822C22⋊Q8—794no—
1823C22⋊Q8—794no—
1824C22⋊Q8—794no—
1825C22⋊Q8—794no—
1826C22⋊Q8—794no—
1827C22⋊Q8—794no—
1828C22⋊Q8—794no—
1829C22⋊Q8—794no—
1830C22⋊Q8—794no—
1831C22⋊Q8—794no—
1832C22⋊Q8—794no—
1833C22⋊Q8—792no—
1834C22⋊Q8—794no—
1835C22⋊Q8—794no—
1836C22⋊Q8C22×D7912yes—
1837C22⋊Q8C22×D7911yescharacteristic
1838C22⋊Q8C22×D7912yes—
1839C22⋊Q8C22×D7912yes—
1840C22⋊Q8C22×D7912yes—
1841C22⋊Q8C22×D7914yes—
1842C22⋊Q8C22×D7914yes—
1843C22⋊Q8C22×D7914yes—
1844#121—794no—
1845#121—792no—
1846#121—791no—
1847#121—792no—
1848#121—792no—
1849#121—791no—
1850#121—792no—
1851#121—792no—
1852#121—792no—
1853#121—794no—
1854#121—794no—
1855#121—794no—
1856#121—791no—
1857#121—791no—
1858#121—792no—
1859#121—791no—
1860#121—791no—
1861#121—792no—
1862#121—792no—
1863#121—792no—
1864#121—792no—
1865#121—792no—
1866#121—791no—
1867#121—792no—
1868#121—792no—
1869#121—792no—
1870#121—792no—
1871#121—792no—
1872#121—794no—
1873#121—794no—
1874#121—794no—
1875#121—794no—
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#121—794no—
1887#121—794no—
1888#121—794no—
1889#121—792no—
1890#121—792no—
1891#121—792no—
1892#121—794no—
1893#121—794no—
1894#121—794no—
1895#121—794no—
1896#121—794no—
1897#121—794no—
1898#121—794no—
1899#121C22×D7911yescharacteristic
1900#120—792no—
1901#120—794no—
1902#120—792no—
1903#120—794no—
1904#120—794no—
1905#120—794no—
1906#120—794no—
1907#120—794no—
1908#120—794no—
1909#120—794no—
1910#120—794no—
1911C4×Q8—792no—
1912C4×Q8—791no—
1913C4×Q8—792no—
1914C4×Q8—792no—
1915C4×Q8—792no—
1916C4×Q8—791no—
1917C4×Q8—792no—
1918C4×Q8—792no—
1919C4×Q8—792no—
1920C4×Q8—792no—
1921C4×Q8—792no—
1922C4×Q8—794no—
1923C4×Q8—791no—
1924C4×Q8—792no—
1925C4×Q8—792no—
1926C4×Q8—794no—
1927C4×Q8—794no—
1928C4×Q8—794no—
1929C4×Q8C22×D7911yescharacteristic
1930C4×Q8C22×D7911yescharacteristic
1931C4×Q8C22×D7912yes—
1932C4×Q8C22×D7911yescharacteristic
1933C4×Q8C22×D7911yescharacteristic
1934C4×Q8C22×D7912yes—
1935C4×Q8C22×D7912yes—
1936C4×Q8C22×D7912yes—
1937C4×Q8C22×D7911yescharacteristic
1938C4×Q8C22×D7912yes—
1939C4×Q8C22×D7912yes—
1940C4×Q8C22×D7912yes—
1941C4×Q8C22×D7914yes—
1942C4×Q8C22×D7914yes—
1943C4×Q8C22×D7912yes—
1944C4×Q8C22×D7912yes—
1945C4×D4—792no—
1946C4×D4—791no—
1947C4×D4—792no—
1948C4×D4—792no—
1949C4×D4—792no—
1950C4×D4—794no—
1951C4×D4—794no—
1952C4×D4—794no—
1953C4×D4—792no—
1954C4×D4—791no—
1955C4×D4—794no—
1956C4×D4—792no—
1957C4×D4—794no—
1958C4×D4—792no—
1959C4×D4—792no—
1960C4×D4—792no—
1961C4×D4—792no—
1962C4×D4—792no—
1963C4×D4—794no—
1964C4×D4—794no—
1965C4×D4—794no—
1966C4×D4—794no—
1967C4×D4—794no—
1968C4×D4—792no—
1969C4×D4—792no—
1970C4×D4—794no—
1971C4×D4—794no—
1972C4×D4—794no—
1973C4×D4—792no—
1974C4×D4—792no—
1975C4×D4—794no—
1976C4×D4—792no—
1977C4×D4—792no—
1978C4×D4—792no—
1979C4×D4—792no—
1980C4×D4—792no—
1981C4×D4—794no—
1982C4×D4—794no—
1983C4×D4—794no—
1984C4×D4—794no—
1985C4×D4—791no—
1986C4×D4—791no—
1987C4×D4—792no—
1988C4×D4—791no—
1989C4×D4—792no—
1990C4×D4—792no—
1991C4×D4—792no—
1992C4×D4—792no—
1993C4×D4—791no—
1994C4×D4—792no—
1995C4×D4—792no—
1996C4×D4—792no—
1997C4×D4—792no—
1998C4×D4—792no—
1999C4×D4—792no—
2000C4×D4—794no—
2001C4×D4—792no—
2002C4×D4—794no—
2003C4×D4—792no—
2004C4×D4—791no—
2005C4×D4—794no—
2006C4×D4—792no—
2007C4×D4—792no—
2008C4×D4—792no—
2009C4×D4—794no—
2010C4×D4—794no—
2011C4×D4—794no—
2012C4×D4—794no—
2013C4×D4—794no—
2014C4×D4—792no—
2015C4×D4—792no—
2016C4×D4—794no—
2017C4×D4C22×D7912yes—
2018C4×D4C22×D7911yescharacteristic
2019C4×D4C22×D7914yes—
2020C4×D4C22×D7912yes—
2021#117—792no—
2022#117—791no—
2023#117—792no—
2024#117—792no—
2025#117—791no—
2026#117—794no—
2027#117—794no—
2028#117—792no—
2029#117—792no—
2030#117—792no—
2031#117—794no—
2032#117—792no—
2033#117—794no—
2034#117—794no—
2035#117—794no—
2036#117—792no—
2037#117—792no—
2038#117—792no—
2039#117—792no—
2040#117—792no—
2041#117—792no—
2042#117—792no—
2043#117—792no—
2044#117—792no—
2045#117—792no—
2046#117—792no—
2047#117—792no—
2048#117—792no—
2049#117—794no—
2050#117—794no—
2051#117—794no—
2052#117—794no—
2053#117—794no—
2054#117—794no—
2055#117—794no—
2056#117C22×D7912yes—
2057#117C22×D7912yes—
2058#117C22×D7914yes—
2059#117C22×D7914yes—
2060#117C22×D7912yes—
2061#117C22×D7914yes—
2062C2×C4⋊C4—792no—
2063C2×C4⋊C4—792no—
2064C2×C4⋊C4—792no—
2065C2×C4⋊C4—791no—
2066C2×C4⋊C4—792no—
2067C2×C4⋊C4—794no—
2068C2×C4⋊C4—792no—
2069C2×C4⋊C4—792no—
2070C2×C4⋊C4—792no—
2071C2×C4⋊C4—794no—
2072C2×C4⋊C4—794no—
2073C2×C4⋊C4—794no—
2074C2×C4⋊C4—794no—
2075C2×C4⋊C4—794no—
2076C2×C4⋊C4C22×D7911yescharacteristic
2077C2×C4⋊C4C22×D7912yes—
2078C2×C22⋊C4—792no—
2079C2×C22⋊C4—792no—
2080C2×C22⋊C4—792no—
2081C2×C22⋊C4—792no—
2082C2×C22⋊C4—792no—
2083C2×C22⋊C4—794no—
2084C2×C22⋊C4—794no—
2085C2×C22⋊C4—794no—
2086C2×C22⋊C4—794no—
2087C2×C22⋊C4—794no—
2088C2×C22⋊C4—794no—
2089C2×C22⋊C4—794no—
2090C2×C42—791no—
2091C2×C42—792no—
2092C2×C42—791no—
2093C2×C42—791no—
2094C2×C42—792no—
2095C2×C42—794no—
2096C2×C42—791no—
2097C2×C42—791no—
2098C2×C42—791no—
2099C2×C42—791no—
2100C2×C42—791no—
2101C2×C42—791no—
2102C2×C42—791no—
2103C2×C42—791no—
2104C2×C42C22×D7912yes—
2105C2×C42C22×D7911yescharacteristic
2106C24—794no—
2107C24—792no—
2108C24—791no—
2109#41—3164no—
2110#41—3168no—
2111#41—3164no—
2112#41—3162no—
2113#41—3164no—
2114#41—3164no—
2115#41—3164no—
2116#41—3164no—
2117#41—3164no—
2118#41—3164no—
2119#41—3164no—
2120#41—3162no—
2121C2×Q8—42no—
2122C2×Q8—44no—
2123C2×Q8—3164no—
2124C2×Q8—794no—
2125C2×Q8—792no—
2126C2×Q8—792no—
2127C2×Q8—792no—
2128C2×Q8—794no—
2129C2×Q8—791no—
2130C2×Q8C23×D7912yes—
2131C2×Q8C23×D7911yescharacteristic
2132C2×Q8C23×D7912yes—
2133C2×Q8C23×D7911yescharacteristic
2134C2×Q8C23×D7911yescharacteristic
2135C2×Q8C23×D7912yes—
2136C2×Q8C23×D7914yes—
2137C2×D4—3164no—
2138C2×D4—3162no—
2139C2×D4—3164no—
2140C2×D4—3168no—
2141C2×D4—3164no—
2142C2×D4—792no—
2143C2×D4—792no—
2144C2×D4—792no—
2145C2×D4—792no—
2146C2×D4—794no—
2147C2×D4—794no—
2148C2×D4—792no—
2149C2×D4—794no—
2150C2×D4—794no—
2151C2×D4—792no—
2152C2×D4—792no—
2153C2×D4—794no—
2154C2×D4—792no—
2155C2×D4—794no—
2156C2×D4—794no—
2157C2×D4—794no—
2158C2×D4—792no—
2159C2×D4—794no—
2160C2×D4—794no—
2161C2×D4—792no—
2162C2×D4—792no—
2163C2×D4—794no—
2164C2×D4—792no—
2165C2×D4—794no—
2166C2×D4—792no—
2167C2×D4—791no—
2168C2×D4—792no—
2169C2×D4—791no—
2170C2×D4—792no—
2171C2×D4—791no—
2172C2×D4C23×D7912yes—
2173C2×D4C23×D7911yescharacteristic
2174C22×C4—3162no—
2175C22×C4—3162no—
2176C22×C4—3164no—
2177C22×C4—3162no—
2178C22×C4—791no—
2179C22×C4—791no—
2180C22×C4—792no—
2181C22×C4—792no—
2182C22×C4—792no—
2183C22×C4—791no—
2184C22×C4—791no—
2185C22×C4—791no—
2186C22×C4—791no—
2187C22×C4—791no—
2188C22×C4—791no—
2189C22×C4—791no—
2190C22×C4—791no—
2191C22×C4—794no—
2192C22×C4—794no—
2193C22×C4—794no—
2194C22×C4—792no—
2195C22×C4—792no—
2196C22×C4—792no—
2197C22×C4—794no—
2198C22×C4—794no—
2199C22×C4—794no—
2200C22×C4—794no—
2201C22×C4—794no—
2202C22×C4—794no—
2203C22×C4—794no—
2204C22×C4—794no—
2205C22×C4—792no—
2206C22×C4—791no—
2207C22×C4—791no—
2208C22×C4—791no—
2209C22×C4—791no—
2210C22×C4—791no—
2211C22×C4—792no—
2212C22×C4—792no—
2213C22×C4—792no—
2214C22×C4C23×D7911yescharacteristic
2215C22×C4C23×D7911yescharacteristic
2216C22×C4C23×D7911yescharacteristic
2217C22×C4C23×D7912yes—
2218C22×C4C23×D7912yes—
2219C22×C4C23×D7912yes—
2220C22×C4C23×D7914yes—
2221C4⋊C4—792no—
2222C4⋊C4—792no—
2223C4⋊C4—792no—
2224C4⋊C4—792no—
2225C4⋊C4—792no—
2226C4⋊C4—794no—
2227C4⋊C4—794no—
2228C4⋊C4—794no—
2229C4⋊C4—794no—
2230C4⋊C4—792no—
2231C4⋊C4—792no—
2232C4⋊C4—794no—
2233C4⋊C4—792no—
2234C4⋊C4—792no—
2235C4⋊C4—792no—
2236C4⋊C4—792no—
2237C4⋊C4—794no—
2238C4⋊C4—794no—
2239C4⋊C4—792no—
2240C4⋊C4—794no—
2241C4⋊C4—792no—
2242C4⋊C4—792no—
2243C4⋊C4—792no—
2244C4⋊C4—794no—
2245C4⋊C4—792no—
2246C4⋊C4—792no—
2247C4⋊C4—792no—
2248C4⋊C4—794no—
2249C4⋊C4—792no—
2250C4⋊C4—792no—
2251C4⋊C4—791no—
2252C4⋊C4—791no—
2253C4⋊C4—792no—
2254C4⋊C4—791no—
2255C4⋊C4—792no—
2256C4⋊C4—792no—
2257C4⋊C4—794no—
2258C4⋊C4—792no—
2259C4⋊C4—792no—
2260C4⋊C4—792no—
2261C4⋊C4—794no—
2262C4⋊C4—794no—
2263C4⋊C4—791no—
2264C4⋊C4—792no—
2265C4⋊C4—794no—
2266C4⋊C4C23×D7911yescharacteristic
2267C4⋊C4C23×D7912yes—
2268C4⋊C4C23×D7911yescharacteristic
2269C4⋊C4C23×D7914yes—
2270C4⋊C4C23×D7912yes—
2271C4⋊C4C23×D7912yes—
2272C4⋊C4C23×D7914yes—
2273C4⋊C4C23×D7914yes—
2274C4⋊C4C23×D7914yes—
2275C4⋊C4C23×D7911yescharacteristic
2276C4⋊C4C23×D7912yes—
2277C4⋊C4C23×D7912yes—
2278C4⋊C4C23×D7912yes—
2279C4⋊C4C23×D7912yes—
2280C4⋊C4C23×D7911yescharacteristic
2281C4⋊C4C23×D7914yes—
2282C4⋊C4C23×D7914yes—
2283C4⋊C4C23×D7912yes—
2284C4⋊C4C23×D7914yes—
2285C4⋊C4C23×D7912yes—
2286C4⋊C4C23×D7914yes—
2287C4⋊C4C23×D7912yes—
2288C4⋊C4C23×D7912yes—
2289C4⋊C4C23×D7912yes—
2290C4⋊C4C23×D7912yes—
2291C4⋊C4C23×D7914yes—
2292C4⋊C4C23×D7914yes—
2293C22⋊C4—792no—
2294C22⋊C4—792no—
2295C22⋊C4—792no—
2296C22⋊C4—794no—
2297C22⋊C4—792no—
2298C22⋊C4—792no—
2299C22⋊C4—792no—
2300C22⋊C4—792no—
2301C22⋊C4—792no—
2302C22⋊C4—794no—
2303C22⋊C4—794no—
2304C22⋊C4—794no—
2305C22⋊C4—792no—
2306C22⋊C4—792no—
2307C22⋊C4—792no—
2308C22⋊C4—794no—
2309C22⋊C4—794no—
2310C22⋊C4—794no—
2311C22⋊C4—792no—
2312C22⋊C4—792no—
2313C22⋊C4—792no—
2314C22⋊C4—792no—
2315C22⋊C4—792no—
2316C22⋊C4—792no—
2317C22⋊C4—794no—
2318C22⋊C4—792no—
2319C22⋊C4—792no—
2320C22⋊C4—794no—
2321C22⋊C4—792no—
2322C22⋊C4—792no—
2323C22⋊C4—792no—
2324C22⋊C4—794no—
2325C22⋊C4—794no—
2326C22⋊C4—792no—
2327C22⋊C4—792no—
2328C22⋊C4—792no—
2329C22⋊C4—794no—
2330C22⋊C4—792no—
2331C22⋊C4—792no—
2332C22⋊C4—794no—
2333C22⋊C4—794no—
2334C22⋊C4—792no—
2335C22⋊C4—792no—
2336C22⋊C4—792no—
2337C22⋊C4—794no—
2338C22⋊C4—794no—
2339C22⋊C4—794no—
2340C22⋊C4—794no—
2341C22⋊C4—794no—
2342C22⋊C4—792no—
2343C22⋊C4—794no—
2344C22⋊C4—794no—
2345C22⋊C4—792no—
2346C22⋊C4—792no—
2347C22⋊C4—794no—
2348C22⋊C4—794no—
2349C22⋊C4C23×D7912yes—
2350C22⋊C4C23×D7912yes—
2351C22⋊C4C23×D7914yes—
2352C22⋊C4C23×D7914yes—
2353C22⋊C4C23×D7914yes—
2354C22⋊C4C23×D7912yes—
2355C22⋊C4C23×D7912yes—
2356C22⋊C4C23×D7912yes—
2357C22⋊C4C23×D7914yes—
2358C42—791no—
2359C42—791no—
2360C42—791no—
2361C42—791no—
2362C42—791no—
2363C42—791no—
2364C42—791no—
2365C42—791no—
2366C42—791no—
2367C42—791no—
2368C42—791no—
2369C42—791no—
2370C42—792no—
2371C42—792no—
2372C42—794no—
2373C42—794no—
2374C42—792no—
2375C42—792no—
2376C42—792no—
2377C42—794no—
2378C42—794no—
2379C42—794no—
2380C42C23×D7911yescharacteristic
2381C42C23×D7911yescharacteristic
2382C42C23×D7911yescharacteristic
2383C42C23×D7911yescharacteristic
2384C42C23×D7914yes—
2385C42C23×D7912yes—
2386C42C23×D7912yes—
2387C42C23×D7912yes—
2388C42C23×D7912yes—
2389C42C23×D7912yes—
2390C42C23×D7914yes—
2391C42C23×D7914yes—
2392C42C23×D7914yes—
2393C23—3161no—
2394C23—3161no—
2395C23—3162no—
2396C23—3162no—
2397C23—3164no—
2398C23—3164no—
2399C23—3164no—
2400C23—792no—
2401C23—792no—
2402C23—794no—
2403C23—791no—
2404C23—791no—
2405C23—792no—
2406C23—1582no—
2407C23—1584no—
2408C23C24×D7912yes—
2409C23C24×D7911yescharacteristic
2410Q8—22no—
2411Q8—22no—
2412Q8—24no—
2413Q8—24no—
2414Q8—22no—
2415Q8—42no—
2416Q8—44no—
2417Q8—3164no—
2418Q8—3162no—
2419Q8—3162no—
2420Q8—3164no—
2421Q8—3162no—
2422Q8—1582no—
2423D4—24no—
2424D4—22no—
2425D4—3162no—
2426D4—3164no—
2427D4—3162no—
2428D4—3162no—
2429D4—3162no—
2430D4—3162no—
2431D4—3164no—
2432D4—3162no—
2433D4—3164no—
2434D4—3164no—
2435D4—3164no—
2436D4—3162no—
2437D4—3164no—
2438D4—3164no—
2439D4—3162no—
2440D4—3164no—
2441D4—3164no—
2442D4—3164no—
2443D4—3164no—
2444D4—3162no—
2445D4—3162no—
2446D4—3162no—
2447D4—3162no—
2448D4—1588no—
2449D4—1584no—
2450D4—1582no—
2451D4—1582no—
2452D4—1584no—
2453D4—1584no—
2454D4—1582no—
2455C2×C4—22no—
2456C2×C4—24no—
2457C2×C4—22no—
2458C2×C4—24no—
2459C2×C4—22no—
2460C2×C4—42no—
2461C2×C4—44no—
2462C2×C4—3161no—
2463C2×C4—3161no—
2464C2×C4—3161no—
2465C2×C4—3161no—
2466C2×C4—3161no—
2467C2×C4—3162no—
2468C2×C4—3162no—
2469C2×C4—3161no—
2470C2×C4—3161no—
2471C2×C4—3161no—
2472C2×C4—3164no—
2473C2×C4—3164no—
2474C2×C4—3164no—
2475C2×C4—3164no—
2476C2×C4—3164no—
2477C2×C4—3164no—
2478C2×C4—3164no—
2479C2×C4—3164no—
2480C2×C4—3162no—
2481C2×C4—3162no—
2482C2×C4—3164no—
2483C2×C4—3164no—
2484C2×C4—3164no—
2485C2×C4—3161no—
2486C2×C4—3161no—
2487C2×C4—3162no—
2488C2×C4—3162no—
2489C2×C4—3162no—
2490C2×C4—791no—
2491C2×C4—791no—
2492C2×C4—791no—
2493C2×C4—791no—
2494C2×C4—792no—
2495C2×C4—792no—
2496C2×C4—791no—
2497C2×C4—794no—
2498C2×C4—791no—
2499C2×C4—792no—
2500C2×C4—792no—
2501C2×C4—792no—
2502C2×C4—1582no—
2503C2×C4—1582no—
2504C2×C4—1582no—
2505C2×C4—1584no—
2506C2×C4—1584no—
2507C2×C4—1584no—
2508C2×C4—1582no—
2509C2×C4—1582no—
2510C2×C4C24×D7912yes—
2511C2×C4C24×D7911yescharacteristic
2512C2×C4C24×D7911yescharacteristic
2513C2×C4C24×D7911yescharacteristic
2514C2×C4C24×D7914yes—
2515C2×C4C24×D7912yes—
2516C2×C4C24×D7911yescharacteristic
2517C2×C4C24×D7914yes—
2518C2×C4C24×D7912yes—
2519C2×C4C24×D7912yes—
2520C2×C4C24×D7912yes—
2521C2×C4C24×D7912yes—
2522C2×C4C24×D7912yes—
2523C2×C4C24×D7911yescharacteristic
2524C2×C4C24×D7911yescharacteristic
2525C22—21no—
2526C22—21no—
2527C22—22no—
2528C22—22no—
2529C22—22no—
2530C22—3164no—
2531C22—6324no—
2532C22—1582no—
2533C22—1584no—
2534C22—1581no—
2535C22—1581no—
2536C22—1582no—
2537C22—1582no—
2538C22—1582no—
2539C22—1582no—
2540C22—1582no—
2541C22—1581no—
2542C22—1581no—
2543C22—1584no—
2544C22—1584no—
2545C22—1582no—
2546C22—1581no—
2547C22—1581no—
2548C22—1582no—
2549C22—1582no—
2550C22—12644no—
2551C22#1909940012yes—
2552C22C25×D7911yescharacteristic
2553C4—21no—
2554C4—22no—
2555C4—22no—
2556C4—22no—
2557C4—24no—
2558C4—21no—
2559C4—21no—
2560C4—22no—
2561C4—21no—
2562C4—22no—
2563C4—22no—
2564C4—22no—
2565C4—24no—
2566C4—1581no—
2567C4—1582no—
2568C4—1581no—
2569C4—1581no—
2570C4—1581no—
2571C4—1581no—
2572C4—1582no—
2573C4—1582no—
2574C4—1584no—
2575C4—1582no—
2576C4—1582no—
2577C4—1581no—
2578C4#1909939912yes—
2579C4#1909940012yes—
2580C2—22no—
2581C2—42no—
2582C2—3161no—
2583C2—3161no—
2584C2—3162no—
2585C2—3162no—
2586C2—3164no—
2587C2—3162no—
2588C2C2×#1909939911yescharacteristic
2589C2C2×#1909940011yescharacteristic
2590C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3523C2
hypercenter#3523D79
hypocenterC79#62827
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3523

Complements

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

NH ≅ G/Ntype
1. #23778083C2semidirect
2. #23778063C2semidirect
3. #23778052C2semidirect
4. #23777995C2semidirect
5. #23777884C2semidirect
6. #23777874C2semidirect
7. #23777785C2semidirect
8. #23777775C2semidirect
9. #23777710C2semidirect
10. #23777698C2semidirect
11. #23777566C2semidirect
12. #23777512C2semidirect
13. #23777511C2semidirect
14. #23777485C2semidirect
15. #23777474C2semidirect
16. #23777467C2semidirect
17. #23777455C2semidirect
18. #23777444C2semidirect
19. #23777434C2semidirect
20. #23777414C2semidirect
21. #23777407C2semidirect
22. #23777377C2semidirect
23. #23777375C2semidirect
24. #23777362C2semidirect
25. #23777362C2semidirect
26. #23777323C2semidirect
27. #23777297C2semidirect
28. #23777254C2semidirect
29. #23777235C2semidirect
30. #23777147C2semidirect
31. #23777123C2semidirect
32. #23776697C2semidirect
33. #23776694C2semidirect
34. C2×#19099100C2semidirect
35. C79×#3523C2semidirect
36. #19099317C22semidirect
37. #19099312C22semidirect
38. #19099311C22semidirect
39. #19099311C22semidirect
40. #19099309C22semidirect
41. #19099309C22semidirect
42. #19099304C22semidirect
43. #19099304C22semidirect
44. #19099298C22semidirect
45. #19099298C22semidirect
46. #19099298C22semidirect
47. #19099298C22semidirect
48. #19099298C22semidirect
49. #19099298C22semidirect
50. Q8×Dic158C22semidirect
51. #19099289C22semidirect
52. #19099287C22semidirect
53. #19099287C22semidirect
54. #19099286C22semidirect
55. #19099286C22semidirect
56. #19099285C22semidirect
57. #19099285C22semidirect
58. #19099284C22semidirect
59. #19099280C22semidirect
60. #19099279C22semidirect
61. #19099279C22semidirect
62. #19099279C22semidirect
63. #19099278C22semidirect
64. #19099276C22semidirect
65. #19099276C22semidirect
66. #19099273C22semidirect
67. #19099273C22semidirect
68. #19099273C22semidirect
69. #19099271C22semidirect
70. #19099269C22semidirect
71. #19099267C22semidirect
73. #19099266C22semidirect
74. #19099266C22semidirect
75. #19099266C22semidirect
76. #19099266C22semidirect
77. #19099266C22semidirect
78. #19099266C22semidirect
79. #19099264C22semidirect
80. #19099264C22semidirect
81. #19099264C22semidirect
82. #19099264C22semidirect
83. #19099263C22semidirect
84. #19099262C22semidirect
86. #19099257C22semidirect
87. #19099257C22semidirect
88. #19099254C22semidirect
89. #19099254C22semidirect
90. #19099254C22semidirect
91. #19099254C22semidirect
92. #19099251C22semidirect
93. #19099251C22semidirect
94. #19099249C22semidirect
95. #19099247C22semidirect
96. #19099246C22semidirect
97. #19099245C22semidirect
98. #19099245C22semidirect
99. #19099245C22semidirect
100. #19099245C22semidirect
101. #19099240C22semidirect
102. #19099240C22semidirect
103. #19099240C22semidirect
104. #19099238C22semidirect
105. #19099238C22semidirect
106. #19099237C22semidirect
107. #19099237C22semidirect
108. #19099237C22semidirect
109. #19099237C22semidirect
110. #19099237C22semidirect
111. #19099237C22semidirect
112. #19099235C22semidirect
113. #19099235C22semidirect
114. #19099235C22semidirect
115. #19099235C22semidirect
116. #19099235C22semidirect
117. #19099228C22semidirect
118. #19099225C22semidirect
119. #19099225C22semidirect
120. #19099224C22semidirect
121. #19099224C22semidirect
122. #19099224C22semidirect
123. #19099221C22semidirect
124. #19099216C22semidirect
125. #19099216C22semidirect
126. #19099216C22semidirect
127. #19099216C22semidirect
128. #19099216C22semidirect
129. #19099214C22semidirect
130. #19099214C22semidirect
131. #19099211C22semidirect
132. #19099208C22semidirect
133. #19099208C22semidirect
134. #19099206C22semidirect
135. #19099206C22semidirect
137. #19099205C22semidirect
140. #19099204C22semidirect
142. D4×D316C22semidirect
143. #19099193C22semidirect
144. #19099190C22semidirect
145. #19099187C22semidirect
146. #19099187C22semidirect
147. #19099187C22semidirect
149. #19099185C22semidirect
150. #19099185C22semidirect
151. #19099185C22semidirect
152. #19099185C22semidirect
153. #19099185C22semidirect
154. #19099185C22semidirect
155. #19099185C22semidirect
156. #19099183C22semidirect
157. #19099182C22semidirect
158. #19099179C22semidirect
159. #19099174C22semidirect
160. #19099174C22semidirect
161. #19099172C22semidirect
162. #19099172C22semidirect
163. #19099171C22semidirect
164. #19099169C22semidirect
165. #19099169C22semidirect
166. #19099169C22semidirect
167. #19099169C22semidirect
168. #19099168C22semidirect
169. #19099168C22semidirect
170. #19099164C22semidirect
171. #19099161C22semidirect
172. #19099161C22semidirect
173. #19099161C22semidirect
174. #19099161C22semidirect
175. #19099159C22semidirect
176. #19099157C22semidirect
177. #19099154C22semidirect
178. #19099153C22semidirect
179. #19099153C22semidirect
180. #19099153C22semidirect
181. #19099153C22semidirect
182. #19099152C22semidirect
183. #19099152C22semidirect
184. #19099152C22semidirect
185. #19099152C22semidirect
186. #19099146C22semidirect
187. #19099143C22semidirect
188. #19099143C22semidirect
189. #19099138C22semidirect
190. #19099137C22semidirect
192. #19099132C22semidirect
193. #19099131C22semidirect
194. #19099124C22semidirect
195. #19099119C22semidirect
196. #19099118C22semidirect
197. #19099118C22semidirect
198. #19099117C22semidirect
199. #19099116C22semidirect
200. #19099115C22semidirect
201. #19099114C22semidirect
202. #19099114C22semidirect
203. #19099114C22semidirect
205. #19099113C22semidirect
206. #19099112C22semidirect
207. #19099110C22semidirect
213. #19099100C22semidirect
214. #19099100C22semidirect
215. #19099100C22semidirect
216. #19099100C22semidirect
217. #19099100C22semidirect
218. #19099100C22semidirect
219. #19099100C22semidirect
220. #19099100C22semidirect
221. #19099100C22semidirect
222. #19099100C22semidirect
223. #19099100C22semidirect
224. #19099100C22semidirect
225. #19099100C22semidirect
226. #19099099C22semidirect
227. #19099099C22semidirect
228. #19099099C22semidirect
229. #19099099C22semidirect
230. #19099098C22semidirect
231. #19099098C22semidirect
232. #19099098C22semidirect
233. #19099098C22semidirect
234. #19099097C22semidirect
235. #19099097C22semidirect
236. #19099096C22semidirect
237. #19099096C22semidirect
238. #19099092C22semidirect
239. #19099091C22semidirect
240. #19099091C22semidirect
241. #19099090C22semidirect
242. C2×#14579156C22semidirect
243. #126×D79C22semidirect
244. C2×#14579152C22semidirect
245. #125×D79C22semidirect
247. C2×#14579150C22semidirect
249. #19099076C22semidirect
250. #19099076C22semidirect
251. #19099076C22semidirect
252. #19099076C22semidirect
253. #19099075C22semidirect
255. #19099072C22semidirect
256. #19099071C22semidirect
257. C2×#14579146C22semidirect
258. C2×#14579137C22semidirect
259. C22⋊Q8×D79C22semidirect
262. #19099045C22semidirect
263. #19099045C22semidirect
264. #19099045C22semidirect
265. #19099045C22semidirect
266. #19099043C22semidirect
267. #19099039C22semidirect
268. #19099037C22semidirect
269. #19099035C22semidirect
270. #19099035C22semidirect
271. C4×#11929625C22semidirect
272. C4×#11929625C22semidirect
273. C4×#11929625C22semidirect
274. #19099031C22semidirect
275. #19099031C22semidirect
276. C4×#11929623C22semidirect
277. C4×#11929623C22semidirect
279. C2×C4×D316C22semidirect
280. C2×#14579118C22semidirect
281. C2×C42×D79C22semidirect
282. #557×C79C22semidirect
283. #557×C79C22semidirect
284. #557×C79C22semidirect
285. #556×C79C22semidirect
286. #556×C79C22semidirect
287. #552×C79C22semidirect
288. #552×C79C22semidirect
289. D4×Q8×C79C22semidirect
290. D4×Q8×C79C22semidirect
291. #541×C79C22semidirect
292. #541×C79C22semidirect
293. #533×C79C22semidirect
294. #533×C79C22semidirect
297. #519×C79C22semidirect
298. C2×C4×Q8×C79C22semidirect
1309. #3523D79semidirect
1331. C79#62827semidirect
1348. #557C2×D79semidirect
1349. #557C2×D79semidirect
1350. #557C2×D79semidirect
1359. #556C2×D79semidirect
1360. #556C2×D79semidirect
1402. #552C2×D79semidirect
1403. #552C2×D79semidirect
1421. D4×Q8C2×D79semidirect
1422. D4×Q8C2×D79semidirect
1469. #541C2×D79semidirect
1470. #541C2×D79semidirect
1508. #533C2×D79semidirect
1509. #533C2×D79semidirect
1579. #519C2×D79semidirect
1590. C2×C4×Q8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780832
#237780632
#237780522
#237779952
#237778842
#237778742
#237777852
#237777752
#237777102
#237776982
#237775662
#237775122
#237775112
#237774852
#237774742
#237774672
#237774552
#237774442
#237774342
#237774142
#237774072
#237773772
#237773752
#237773622
#237773232
#237772972
#237772542
#237772352
#237771472
#237771232
#237766972
#237766942
C2×#190991002
C79×#35232
#6282779