Finite Group Databasebeta

← #35197439

Subgroups — #35197439

Order 20224.

7082 conjugacy classes of subgroups.

The subgroup lattice has 2628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777506C212yesmaximal, complemented
2#23777484C212yesmaximal, complemented
3#23777475C212yesmaximal, complemented
4#23777455C214yesmaximal, complemented
5#23777446C214yesmaximal, complemented
6#23777445C212yesmaximal, complemented
7#23777410C212yesmaximal, complemented
8#23777392C212yesmaximal, complemented
9#23777364C212yesmaximal, complemented
10#23777350C214yesmaximal, complemented
11#23777345C212yesmaximal, complemented
12#23777337C214yesmaximal, complemented
13#23777312C212yesmaximal, complemented
14#23777303C211yesmaximal, characteristic, complemented
15#23777297C211yesmaximal, characteristic, complemented
16#23777289C212yesmaximal, complemented
17#23777215C211yesmaximal, characteristic, complemented
18#23777189C211yesmaximal, characteristic, complemented
19#23777144C212yesmaximal, complemented
20#23777135C211yesmaximal, characteristic, complemented
21#23777133C212yesmaximal, complemented
22#23777076C211yesmaximal, characteristic, complemented
23#23777061C211yesmaximal, characteristic, complemented
24#23776831C212yesmaximal, complemented
25#23776824C211yesmaximal, characteristic, complemented
26#23776823C211yesmaximal, characteristic, complemented
27#23776821C212yesmaximal, complemented
28#23776791C212yesmaximal, complemented
29#23776788C211yesmaximal, characteristic, complemented
30C2×#19099186C211yesmaximal, characteristic, complemented
31#542×D79C212yesmaximal, complemented
32#23776609C211yesmaximal, characteristic, complemented
33#23776606C211yesmaximal, characteristic, complemented
34#23776601C211yesmaximal, characteristic, complemented
35C79×#3495C211yesmaximal, characteristic, complemented
36C2×#14579209C2211yescharacteristic
37C2×#14579207C2211yescharacteristic
38C22×#11929624C2211yescharacteristic
39#19099298C2212yescomplemented
40#19099298C2212yescomplemented
41#19099297C2214yescomplemented
42#19099296C2214yescomplemented
43#19099293C2212yescomplemented
44#19099290C2212yescomplemented
45#19099285C2212yescomplemented
46#19099285C2212yescomplemented
47#19099285C2214yescomplemented
48#19099281C2214yescomplemented
49#19099281C2212yescomplemented
50#19099280C2214yescomplemented
51#19099280C2214yescomplemented
52#19099276C2212yescomplemented
53#19099276C2214yescomplemented
54#19099276C2212yescomplemented
55#19099275C2214yescomplemented
56#19099269C2214yescomplemented
57#19099269C2212yescomplemented
58#19099269C2214yescomplemented
59#19099268C2212yescomplemented
60#19099267C2214yescomplemented
61#19099266C2214yescomplemented
62#19099264C2214yescomplemented
63#19099262C2214yescomplemented
64#19099261C2212yescomplemented
65#19099258C2214yescomplemented
66#19099257C2214yescomplemented
67#19099257C2212yescomplemented
68#19099251C2214yescomplemented
69#19099249C2214yescomplemented
70#19099245C2214yescomplemented
71#19099245C2214yescomplemented
72#19099242C2214yescomplemented
73#19099241C2214yescomplemented
74#19099240C2214yescomplemented
75#19099238C2214yescomplemented
76#19099238C2214yescomplemented
77#19099238C2214yescomplemented
78#19099238C2214yescomplemented
79#19099237C2214yescomplemented
80#19099237C2214yescomplemented
81#19099237C2214yescomplemented
82#19099237C2214yescomplemented
83#19099234C2212yes—
84#19099228C2212yescomplemented
85#19099226C2212yescomplemented
86#19099226C2214yescomplemented
87#19099225C2214yescomplemented
88#19099223C2214yescomplemented
89#19099223C2212yescomplemented
90#19099223C2212yescomplemented
91#19099223C2212yescomplemented
92#19099222C2212yes—
93#19099222C2214yescomplemented
94#19099215C2214yescomplemented
95#19099215C2212yescomplemented
96#19099215C2214yescomplemented
97#19099214C2212yescomplemented
98#19099214C2214yescomplemented
99#19099214C2212yescomplemented
100#19099209C2212yes—
101#19099206C2214yescomplemented
102#19099205C2214yes—
103#19099205C2214yescomplemented
104#19099205C2214yescomplemented
105#19099205C2214yescomplemented
106#19099204C2212yescomplemented
107#19099204C2212yescomplemented
108#19099204C2212yescomplemented
109#19099203C2214yescomplemented
110#19099203C2214yescomplemented
111D4×D316C2212yes—
112#19099195C2214yes—
113#19099193C2212yescomplemented
114#19099191C2211yescharacteristic, complemented
115#19099190C2212yescomplemented
116#19099187C2212yescomplemented
117#19099187C2212yescomplemented
118#19099186C2212yescomplemented
119#19099186C2212yescomplemented
120#19099186C2212yescomplemented
121#19099186C2212yescomplemented
122#19099186C2212yescomplemented
123#19099186C2212yescomplemented
124#19099186C2212yescomplemented
125#19099186C2212yescomplemented
126#19099186C2211yescharacteristic, complemented
127#19099186C2211yescharacteristic, complemented
128#19099186C2212yescomplemented
129#19099185C2212yescomplemented
130#19099185C2212yescomplemented
131#19099185C2212yescomplemented
132#19099184C2212yescomplemented
133#19099183C2214yescomplemented
134#19099183C2214yescomplemented
135#19099182C2212yescomplemented
136#19099181C2214yescomplemented
137#19099180C2211yescharacteristic, complemented
138#19099180C2211yescharacteristic, complemented
139#19099179C2214yescomplemented
140#19099179C2214yescomplemented
141#19099178C2212yescomplemented
142#19099177C2214yescomplemented
143#19099174C2212yescomplemented
144#19099173C2211yescharacteristic, complemented
145#19099173C2211yescharacteristic, complemented
146#19099173C2212yescomplemented
147#19099172C2214yescomplemented
148#19099169C2212yescomplemented
149#19099169C2212yescomplemented
150#19099168C2212yescomplemented
151#19099166C2211yescharacteristic, complemented
152#19099166C2211yescharacteristic, complemented
153#19099165C2214yescomplemented
154#19099161C2214yescomplemented
155#19099161C2214yescomplemented
156#19099161C2214yescomplemented
157#19099159C2214yescomplemented
158#19099157C2212yescomplemented
159#19099157C2212yescomplemented
160#19099157C2214yescomplemented
161#19099153C2214yescomplemented
162#19099152C2214yescomplemented
163#19099152C2214yescomplemented
164#19099152C2214yescomplemented
165#19099149C2214yescomplemented
166#19099148C2212yescomplemented
167#19099148C2212yescomplemented
168#19099144C2211yescharacteristic, complemented
169#19099143C2212yes—
170#19099143C2212yescomplemented
171#19099141C2211yescharacteristic
172#19099138C2212yescomplemented
173#19099137C2211yescharacteristic, complemented
174#19099136C2212yescomplemented
175#19099132C2211yescharacteristic
176#19099132C2211yescharacteristic, complemented
177#19099131C2212yescomplemented
178#19099129C2212yes—
179#19099119C2212yescomplemented
180#19099118C2212yescomplemented
181#19099117C2212yescomplemented
182#19099117C2214yescomplemented
183#19099116C2211yescharacteristic, complemented
184#19099115C2212yescomplemented
185#19099114C2212yescomplemented
186#19099114C2212yescomplemented
187#19099114C2212yescomplemented
188#19099113C2212yescomplemented
189#19099110C2212yescomplemented
190#19099110C2214yescomplemented
191#19099109C2211yescharacteristic, complemented
192C2×#14579160C2211yescharacteristic, complemented
193C4⋊Q8×D79C2212yescomplemented
194#19099100C2212yescomplemented
195#19099100C2212yescomplemented
196#19099100C2214yescomplemented
197#19099099C2212yescomplemented
198#19099098C2212yescomplemented
199#19099098C2214yescomplemented
200#19099098C2214yescomplemented
201#19099098C2212yescomplemented
202#19099097C2212yescomplemented
203#19099096C2214yescomplemented
204#19099096C2214yescomplemented
205#19099095C2212yescomplemented
206#19099095C2212yescomplemented
207#19099093C2212yescomplemented
208#19099093C2212yescomplemented
209#19099092C2212yescomplemented
210#19099091C2214yescomplemented
211#19099091C2214yescomplemented
212#19099091C2214yescomplemented
213#19099090C2214yescomplemented
214C2×#14579156C2212yescomplemented
215#126×D79C2214yescomplemented
216C2×#14579150C2211yescharacteristic, complemented
217C2×#14579147C2212yescomplemented
218#124×D79C2212yescomplemented
219#124×D79C2214yescomplemented
220#19099076C2212yes—
221#19099076C2212yescomplemented
222#19099076C2214yescomplemented
223#19099075C2214yescomplemented
224#19099074C2211yescharacteristic, complemented
225#19099072C2214yescomplemented
226C2×#14579143C2212yescomplemented
227#123×D79C2214yescomplemented
228C2×#14579141C2212yescomplemented
229C22⋊Q8×D79C2212yescomplemented
230C22⋊Q8×D79C2214yescomplemented
231C2×#14579135C2211yescharacteristic
232#121×D79C2212yes—
233#19099045C2212yescomplemented
234#19099045C2212yescomplemented
235#19099045C2212yescomplemented
236#19099044C2211yescharacteristic
237#19099044C2211yescharacteristic, complemented
238#19099044C2211yescharacteristic, complemented
239#19099044C2211yescharacteristic, complemented
240#19099044C2211yescharacteristic, complemented
241#19099044C2212yescomplemented
242#19099043C2211yescharacteristic
243#19099043C2211yescharacteristic, complemented
244#19099043C2214yescomplemented
245#19099043C2212yescomplemented
246#19099043C2212yescomplemented
247#19099040C2211yescharacteristic, complemented
248#19099040C2211yescharacteristic, complemented
249#19099039C2212yescomplemented
250#19099039C2212yescomplemented
251#19099037C2211yescharacteristic, complemented
252#19099037C2211yescharacteristic, complemented
253#19099037C2211yescharacteristic, complemented
254#19099037C2212yescomplemented
255#19099036C2212yescomplemented
256#19099036C2212yescomplemented
257#19099035C2212yescomplemented
258#19099035C2214yescomplemented
259#41×Dic79C2211yescharacteristic, complemented
260C4×#11929625C2212yescomplemented
261C4×#11929625C2212yescomplemented
262C4×#11929625C2212yescomplemented
263C4×#11929624C2212yescomplemented
264C4×#11929624C2212yescomplemented
265#19099031C2211yescharacteristic
266#19099031C2211yescharacteristic
267#19099031C2211yescharacteristic, complemented
268#19099031C2211yescharacteristic, complemented
269#19099031C2211yescharacteristic, complemented
270#19099031C2214yescomplemented
271#19099031C2212yescomplemented
272C2×Q8×Dic79C2211yescharacteristic, complemented
273C4×Q8×D79C2212yescomplemented
274C4×Q8×D79C2212yescomplemented
275C2×#14579123C2211yescharacteristic, complemented
276C2×#14579123C2212yescomplemented
277C4×D4×D79C2212yescomplemented
278C4×D4×D79C2214yescomplemented
279C2×#14579120C2211yescharacteristic, complemented
280#117×D79C2212yescomplemented
281#117×D79C2212yescomplemented
282#556×C79C2212yescomplemented
283#554×C79C2212yescomplemented
284#552×C79C2212yescomplemented
285#552×C79C2214yescomplemented
286#552×C79C2212yescomplemented
287#551×C79C2214yescomplemented
288#544×C79C2211yescharacteristic, complemented
289#542×C79C2212yescomplemented
290#541×C79C2212yescomplemented
291#536×C79C2211yescharacteristic, complemented
292#533×C79C2212yescomplemented
293#529×C79C2212yescomplemented
294#525×C79C2211yescharacteristic
295C2×C22⋊Q8×C79C2211yescharacteristic, complemented
296#520×C79C2211yescharacteristic, complemented
297#519×C79C2211yescharacteristic, complemented
298C2×#117×C79C2211yescharacteristic, complemented
299#14579209—28no—
300#14579207—28no—
301C2×#11929625C2312yes—
302C2×#11929625C2312yes—
303C2×#11929625C2312yes—
304C2×#11929625C2314yes—
305C2×#11929624—28no—
306C2×#11929624C2312yes—
307C2×#11929624C2311yescharacteristic
308C2×#11929624C2312yes—
309C2×#11929624C2311yescharacteristic
310C2×#11929624C2314yes—
311C2×#11929624C2312yes—
312C2×#11929624C2311yescharacteristic
313C2×#11929624C2311yescharacteristic
314C2×#11929624C2314yes—
315C2×#11929624C2314yes—
316C2×#11929624C2311yescharacteristic
317C22×Dic158C2311yescharacteristic
318C22×Dic158C2312yes—
319C2×Q8×D79C2312yes—
320C2×Q8×D79C2312yes—
321C2×Q8×D79C2314yes—
322C22×D316C2312yes—
323C22×D316C2311yescharacteristic
324C22×D316C2311yescharacteristic
325C22×C22⋊D79C2312yes—
326C22×C22⋊D79C2312yes—
327C2×D4×D79C2314yes—
328C2×D4×D79C2312yes—
329C2×D4×D79C2314yes—
330C22×C4×D79C2312yes—
331C22×C4×D79C2314yes—
332C22×C4×D79C2312yes—
333#14579161C2312yes—
334#14579160C2314yes—
335#14579160C2312yes—
336#14579160C2314yes—
337#14579160C2314yes—
338#14579160C2311yescharacteristic
339#14579160C2311yescharacteristic
340#14579160C2312yes—
341#14579160C2312yes—
342#14579160C2312yes—
343#14579160C2312yes—
344#14579159C2312yes—
345#14579159C2311yescharacteristic
346#14579159C2314yes—
347#14579159C2314yes—
348#14579158C2312yes—
349#14579158C2312yes—
350#14579157C2314yes—
351#14579157C2311yescharacteristic
352#14579156C2314yes—
353#14579156C2314yes—
354#14579156C2314yes—
355#14579156C2314yes—
356#14579156C2314yes—
357#14579156C2314yes—
358#14579156C2312yes—
359#14579156C2312yes—
360#14579156C2314yes—
361#14579156C2314yes—
362#14579156C2314yes—
363#14579156C2314yes—
364#14579156C2314yes—
365#14579155C2314yes—
366#14579155C2314yes—
367#14579155C2314yes—
368#14579155C2314yes—
369#14579154C2312yes—
370#14579154C2312yes—
371#14579154C2312yes—
372#14579154C2312yes—
373#14579154C2314yes—
374#14579154C2314yes—
375#14579154C2312yes—
376#14579154C2312yes—
377#14579154C2314yes—
378#14579153C2312yes—
379#14579152C2312yes—
380#14579152C2314yes—
381#14579152C2312yes—
382#14579152C2311yescharacteristic
383#14579152C2311yescharacteristic
384#14579152C2312yes—
385#14579151C2314yes—
386#14579151C2312yes—
387#14579151C2312yes—
388#14579151C2314yes—
389#14579151C2314yes—
390#14579151C2314yes—
391#14579151C2314yes—
392#14579150C2312yes—
393#14579150C2312yes—
394#14579150C2314yes—
395#14579150C2314yes—
396#14579150C2312yes—
397#14579150C2311yescharacteristic
398#14579150C2312yes—
399#14579150C2312yes—
400#14579149C2312yes—
401#14579149C2314yes—
402#14579149C2314yes—
403#14579149C2314yes—
404#14579149C2314yes—
405#14579149C2312yes—
406#14579148C2312yes—
407#14579148C2312yes—
408#14579148C2311yescharacteristic
409#14579147C2314yes—
410#14579147C2312yes—
411#14579147C2312yes—
412#14579147C2314yes—
413#14579147C2314yes—
414#14579147C2314yes—
415#14579147C2314yes—
416#14579147C2314yes—
417#14579147C2314yes—
418#14579147C2314yes—
419#14579147C2314yes—
420#14579147C2314yes—
421#14579147C2314yes—
422#14579147C2314yes—
423#14579146C2314yes—
424#14579146C2314yes—
425#14579146C2314yes—
426#14579146C2314yes—
427#14579146C2314yes—
428#14579146C2314yes—
429#14579146C2314yes—
430#14579146C2314yes—
431#14579146C2314yes—
432#14579146C2314yes—
433#14579146C2314yes—
434#14579146C2314yes—
435#14579146C2314yes—
436#14579146C2314yes—
437#14579146C2314yes—
438#14579146C2314yes—
439#14579145C2314yes—
440#14579145C2312yes—
441#14579145C2312yes—
442#14579144C2314yes—
443#14579144C2312yes—
444#14579144C2314yes—
445#14579144C2314yes—
446#14579143C2314yes—
447#14579143C2312yes—
448#14579143C2312yes—
449#14579143C2312yes—
450#14579143C2314yes—
451#14579143C2312yes—
452#14579143C2314yes—
453#14579143C2314yes—
454#14579143C2314yes—
455#14579143C2314yes—
456#14579143C2314yes—
457#14579142C2312yes—
458#14579142C2312yes—
459#14579141C2312yes—
460#14579141C2312yes—
461#14579141C2314yes—
462#14579141C2312yes—
463#14579141C2314yes—
464#14579141C2312yes—
465#14579141C2314yes—
466#14579141C2314yes—
467#14579141C2314yes—
468#14579141C2314yes—
469#14579140C2311yescharacteristic
470#14579140C2312yes—
471#14579140C2311yescharacteristic
472#14579140C2314yes—
473#14579139C2314yes—
474#14579139C2314yes—
475#14579139C2314yes—
476#14579139C2314yes—
477#14579139C2314yes—
478#14579139C2314yes—
479#14579139C2314yes—
480#14579139C2314yes—
481#14579139C2314yes—
482#14579139C2314yes—
483#14579139C2314yes—
484#14579139C2314yes—
485#14579139C2314yes—
486#14579139C2314yes—
487#14579138C2312yes—
488#14579138C2312yes—
489#14579138C2314yes—
490#14579138C2312yes—
491#14579138C2312yes—
492#14579138C2314yes—
493#14579138C2314yes—
494#14579137C2312yes—
495#14579137C2312yes—
496#14579137C2312yes—
497#14579137C2314yes—
498#14579137C2314yes—
499#14579136C2314yes—
500#14579136C2312yes—
501#14579136C2312yes—
502#14579136C2314yes—
503#14579136C2312yes—
504#14579136C2314yes—
505#14579136C2314yes—
506#14579136C2314yes—
507#14579136C2314yes—
508#14579136C2314yes—
509#14579136C2312yes—
510#14579136C2312yes—
511#14579136C2312yes—
512#14579135C2312yes—
513#14579135C2312yes—
514#14579135C2311yescharacteristic
515#14579135C2314yes—
516#14579135C2314yes—
517#14579135C2311yescharacteristic
518#14579135C2312yes—
519#14579135C2312yes—
520#14579135C2312yes—
521#14579134C2314yes—
522#14579134C2314yes—
523#14579134C2314yes—
524#14579134C2314yes—
525#14579134C2314yes—
526#14579134C2314yes—
527#14579134C2314yes—
528#14579134C2314yes—
529#14579134C2314yes—
530#14579134C2314yes—
531#14579133C2314yes—
532#14579133C2312yes—
533#14579133C2312yes—
534#14579133C2312yes—
535#14579133C2312yes—
536#14579133C2314yes—
537#14579132C2312yes—
538#14579132C2312yes—
539#14579132C2312yes—
540#14579131C2314yes—
541#14579131C2314yes—
542#14579131C2314yes—
543#14579131C2314yes—
544#14579131C2314yes—
545#14579131C2314yes—
546#14579131C2314yes—
547#14579130C2312yes—
548#14579129C2314yes—
549Q8×Dic79C2311yescharacteristic
550Q8×Dic79C2312yes—
551Q8×Dic79C2311yescharacteristic
552Q8×Dic79C2312yes—
553Q8×Dic79C2312yes—
554Q8×Dic79C2312yes—
555C4×Dic158C2312yes—
556C4×Dic158C2314yes—
557C4×Dic158C2312yes—
558C4×Dic158C2312yes—
559C4×Dic158C2312yes—
560C4×Dic158C2314yes—
561C4×Dic158C2312yes—
562C4×Dic158C2314yes—
563C4×Dic158C2312yes—
564C4×Dic158C2312yes—
565C4×Dic158C2312yes—
566#14579126C2314yes—
567#14579126C2311yescharacteristic
568#14579126C2311yescharacteristic
569#14579126C2311yescharacteristic
570#14579126C2311yescharacteristic
571#14579126C2311yescharacteristic
572#14579126C2311yescharacteristic
573#14579126C2312yes—
574#14579126C2314yes—
575#14579126C2314yes—
576#14579126C2314yes—
577#14579126C2314yes—
578#14579126C2311yescharacteristic
579#14579126C2311yescharacteristic
580#14579126C2311yescharacteristic
581#14579126C2311yescharacteristic
582C4×D316C2312yes—
583C4×D316C2314yes—
584C4×D316C2314yes—
585C4×D316C2312yes—
586C4×D316C2312yes—
587C4×D316C2312yes—
588C4×D316C2312yes—
589C4×D316C2312yes—
590C4×D316C2314yes—
591C4×D316C2314yes—
592C4×D316C2312yes—
593C4×D316C2314yes—
594C4×D316C2312yes—
595C4×D316C2314yes—
596C4×D316C2314yes—
597D4×Dic79C2312yes—
598D4×Dic79C2312yes—
599D4×Dic79C2311yescharacteristic
600D4×Dic79C2311yescharacteristic
601#14579123C2314yes—
602#14579123C2314yes—
603#14579123C2311yescharacteristic
604#14579123C2311yescharacteristic
605#14579123C2311yescharacteristic
606#14579123C2312yes—
607#14579123C2312yes—
608#14579123C2312yes—
609#14579123C2312yes—
610#14579123C2311yescharacteristic
611#14579123C2311yescharacteristic
612#14579123C2311yescharacteristic
613#14579123C2312yes—
614#14579123C2314yes—
615#14579123C2314yes—
616#14579123C2314yes—
617#14579123C2314yes—
618#14579123C2311yescharacteristic
619#14579123C2314yes—
620#14579123C2312yes—
621#14579123C2314yes—
622#14579123C2314yes—
623#14579123C2314yes—
624#14579123C2312yes—
625#14579123C2311yescharacteristic
626#14579123C2311yescharacteristic
627#14579123C2311yescharacteristic
628C4×C22⋊D79C2312yes—
629C4×C22⋊D79C2312yes—
630C4×C22⋊D79C2312yes—
631C4×C22⋊D79C2314yes—
632C4×C22⋊D79C2312yes—
633C4×C22⋊D79C2314yes—
634C4×C22⋊D79C2314yes—
635C4×C22⋊D79C2312yes—
636C4×C22⋊D79C2312yes—
637C4×C22⋊D79C2312yes—
638C4×C22⋊D79C2312yes—
639C4×C22⋊D79C2312yes—
640C4×C22⋊D79C2314yes—
641C4×C22⋊D79C2312yes—
642C4×C22⋊D79C2314yes—
643C4×C22⋊D79C2312yes—
644C4×C22⋊D79C2312yes—
645(C22⋊D79)⋊C4C2312yes—
646(C22⋊D79)⋊C4C2312yes—
647(C22⋊D79)⋊C4C2312yes—
648(C22⋊D79)⋊C4C2312yes—
649(C22⋊D79)⋊C4C2314yes—
650(C22⋊D79)⋊C4C2314yes—
651(C22⋊D79)⋊C4C2314yes—
652(C22⋊D79)⋊C4C2314yes—
653(C22⋊D79)⋊C4C2314yes—
654(C22⋊D79)⋊C4C2312yes—
655(C22⋊D79)⋊C4C2312yes—
656(C22⋊D79)⋊C4C2314yes—
657(C22⋊D79)⋊C4C2312yes—
658(C22⋊D79)⋊C4C2312yes—
659(C22⋊D79)⋊C4C2314yes—
660(C22⋊D79)⋊C4C2312yes—
661(C22⋊D79)⋊C4C2312yes—
662#14579120C2311yescharacteristic
663#14579120C2311yescharacteristic
664#14579120C2311yescharacteristic
665#14579120C2312yes—
666#14579120C2311yescharacteristic
667#14579120C2311yescharacteristic
668#14579120C2311yescharacteristic
669#14579120C2311yescharacteristic
670#14579120C2311yescharacteristic
671#14579120C2311yescharacteristic
672#14579119C2312yes—
673#14579119C2314yes—
674#14579119C2314yes—
675#14579119C2312yes—
676#14579119C2312yes—
677#14579119C2312yes—
678#14579119C2314yes—
679#14579119C2312yes—
680#14579119C2314yes—
681#14579119C2312yes—
682#14579119C2314yes—
683#14579119C2312yes—
684#14579118C2312yes—
685#14579118C2312yes—
686#14579118C2312yes—
687#14579118C2312yes—
688#14579118C2314yes—
689#14579118C2314yes—
690#14579118C2314yes—
691#14579118C2314yes—
692#14579118C2314yes—
693#14579118C2314yes—
694#14579118C2314yes—
695#14579118C2312yes—
696#14579117C2312yes—
697#14579117C2312yes—
698#14579117C2314yes—
699#14579117C2312yes—
700#14579117C2312yes—
701C2×C4⋊Dic79C2311yescharacteristic
702C2×C4⋊Dic79C2311yescharacteristic
703C2×C4⋊Dic79C2311yescharacteristic
704C2×C4⋊Dic79C2312yes—
705C2×Dic79⋊C4C2312yes—
706C4⋊C4×D79C2312yes—
707C4⋊C4×D79C2312yes—
708C4⋊C4×D79C2314yes—
709C4⋊C4×D79C2312yes—
710C4⋊C4×D79C2312yes—
711C4⋊C4×D79C2312yes—
712C4⋊C4×D79C2314yes—
713C4⋊C4×D79C2314yes—
714C4⋊C4×D79C2312yes—
715C4⋊C4×D79C2314yes—
716C4⋊C4×D79C2312yes—
717C4⋊C4×D79C2314yes—
718C2×C22⋊Dic79C2311yescharacteristic
719C2×C22⋊Dic79C2311yescharacteristic
720C2×(C2×D79)⋊C4C2312yes—
721C2×(C2×D79)⋊C4C2312yes—
722C2×(C2×D79)⋊C4C2312yes—
723C2×(C2×D79)⋊C4C2312yes—
724C2×(C2×D79)⋊C4C2314yes—
725C22⋊C4×D79C2314yes—
726C22⋊C4×D79C2312yes—
727C22⋊C4×D79C2312yes—
728C22⋊C4×D79C2314yes—
729C22⋊C4×D79C2314yes—
730C22⋊C4×D79C2314yes—
731C22⋊C4×D79C2314yes—
732C22⋊C4×D79C2314yes—
733C22⋊C4×D79C2312yes—
734C22⋊C4×D79C2312yes—
735C22⋊C4×D79C2314yes—
736C2×C4×Dic79C2311yescharacteristic
737C2×C4×Dic79C2311yescharacteristic
738C2×C4×Dic79C2312yes—
739C2×C4×Dic79C2312yes—
740C42×D79C2312yes—
741C42×D79C2312yes—
742C42×D79C2312yes—
743C42×D79C2312yes—
744C42×D79C2314yes—
745C42×D79C2314yes—
746C42×D79C2314yes—
747C42×D79C2312yes—
748C2×#41×C79C2311yescharacteristic
749C22×Q8×C79C2311yescharacteristic
750C23×C4×C79C2311yescharacteristic
751C4⋊Q8×C79C2312yes—
752C4⋊Q8×C79C2312yes—
753C4⋊Q8×C79C2312yes—
754#126×C79C2314yes—
755#126×C79C2314yes—
756#126×C79C2314yes—
757#126×C79C2314yes—
758#125×C79C2314yes—
759#125×C79C2314yes—
760#125×C79C2314yes—
761#125×C79C2312yes—
762#125×C79C2312yes—
763#124×C79C2314yes—
764#124×C79C2312yes—
765#123×C79C2314yes—
766#123×C79C2312yes—
767#123×C79C2314yes—
768#123×C79C2314yes—
769C22⋊Q8×C79C2312yes—
770C22⋊Q8×C79C2311yescharacteristic
771C22⋊Q8×C79C2314yes—
772C22⋊Q8×C79C2314yes—
773C22⋊Q8×C79C2311yescharacteristic
774C22⋊Q8×C79C2312yes—
775C22⋊Q8×C79C2314yes—
776C22⋊Q8×C79C2312yes—
777C22⋊Q8×C79C2312yes—
778C22⋊Q8×C79C2312yes—
779C22⋊Q8×C79C2312yes—
780#121×C79C2311yescharacteristic
781#121×C79C2311yescharacteristic
782#120×C79C2312yes—
783C4×Q8×C79C2312yes—
784C4×Q8×C79C2312yes—
785C4×Q8×C79C2312yes—
786C4×Q8×C79C2314yes—
787C4×Q8×C79C2312yes—
788C4×Q8×C79C2312yes—
789C4×D4×C79C2312yes—
790C4×D4×C79C2312yes—
791C4×D4×C79C2312yes—
792C4×D4×C79C2314yes—
793C4×D4×C79C2314yes—
794#117×C79C2312yes—
795#117×C79C2311yescharacteristic
796#117×C79C2312yes—
797#117×C79C2311yescharacteristic
798#117×C79C2311yescharacteristic
799#117×C79C2311yescharacteristic
800#117×C79C2314yes—
801#117×C79C2314yes—
802#117×C79C2311yescharacteristic
803#117×C79C2312yes—
804#117×C79C2314yes—
805C2×C4⋊C4×C79C2311yescharacteristic
806C2×C4⋊C4×C79C2311yescharacteristic
807C2×C4⋊C4×C79C2312yes—
808C2×C4⋊C4×C79C2312yes—
809C2×C4⋊C4×C79C2311yescharacteristic
810C2×C22⋊C4×C79C2312yes—
811C2×C22⋊C4×C79C2312yes—
812C2×C42×C79C2312yes—
813C23×D79C2412yes—
814C23×D79C2414yes—
815C23×D79C2412yes—
816#11929625—28no—
817#11929625—28no—
818#11929625—28no—
819#11929625—84no—
820#11929624—24no—
821#11929624—28no—
822#11929624—24no—
823#11929624—28no—
824#11929624—24no—
825#11929624—24no—
826#11929624—28no—
827#11929624—216no—
828#11929624—84no—
829#11929624—84no—
830#11929624#4118yescomplemented
831C2×Dic158—24no—
832C2×Dic158—82no—
833C2×Dic158C2414yes—
834C2×Dic158C2411yescharacteristic
835C2×Dic158C2411yescharacteristic
836C2×Dic158C2412yes—
837C2×Dic158C2412yes—
838C2×Dic158C2414yes—
839C2×Dic158C2414yes—
840C2×Dic158C2414yes—
841C2×Dic158C2412yes—
842C2×Dic158C2411yescharacteristic
843Q8×D79—28no—
844Q8×D79—28no—
845Q8×D79—84no—
846C2×D316—24no—
847C2×D316—28no—
848C2×D316—24no—
849C2×D316C2411yescharacteristic
850C2×D316C2412yes—
851C2×D316C2414yes—
852C2×D316C2411yescharacteristic
853C2×D316C2412yes—
854C2×D316C2414yes—
855C2×D316C2412yes—
856C2×D316C2414yes—
857C2×D316C2414yes—
858C2×D316C2414yes—
859C2×D316C2414yes—
860C2×D316C2414yes—
861C2×D316C2411yescharacteristic
862C2×C22⋊D79—28no—
863C2×C22⋊D79—82no—
864C2×C22⋊D79C2412yes—
865C2×C22⋊D79C2412yes—
866C2×C22⋊D79C2412yes—
867C2×C22⋊D79C2412yes—
868C2×C22⋊D79C2414yes—
869C2×C22⋊D79C2412yes—
870C2×C22⋊D79C2412yes—
871C2×C22⋊D79C2414yes—
872C2×C22⋊D79C2414yes—
873C2×C22⋊D79C2412yes—
874C2×C22⋊D79C2414yes—
875C2×C22⋊D79C2412yes—
876C2×C22⋊D79C2412yes—
877D4×D79—28no—
878D4×D79—216no—
879D4×D79—84no—
880C22×Dic79C2412yes—
881C22×Dic79C2411yescharacteristic
882C22×Dic79C2412yes—
883C22×Dic79C2411yescharacteristic
884C22×Dic79C2411yescharacteristic
885C22×Dic79C2412yes—
886C22×Dic79C2411yescharacteristic
887C22×Dic79C2412yes—
888C2×C4×D79—28no—
889C2×C4×D79—82no—
890C2×C4×D79—84no—
891C2×C4×D79C2414yes—
892C2×C4×D79C2414yes—
893C2×C4×D79C2412yes—
894C2×C4×D79C2412yes—
895C2×C4×D79C2412yes—
896C2×C4×D79C2412yes—
897C2×C4×D79C2414yes—
898C2×C4×D79C2412yes—
899C2×C4×D79C2414yes—
900C2×C4×D79C2414yes—
901C2×C4×D79C2412yes—
902C2×C4×D79C2414yes—
903C2×C4×D79C2414yes—
904C2×C4×D79C2412yes—
905C2×C4×D79C2412yes—
906C2×C4×D79C2414yes—
907C2×C4×D79C2412yes—
908C2×C4×D79C2412yes—
909C2×C4×D79C2412yes—
910C2×C4×D79C2414yes—
911C2×C4×D79C2412yes—
912C2×C4×D79C2412yes—
913C2×C4×D79C2412yes—
914C2×C4×D79C2414yes—
915C2×C4×D79C2412yes—
916C4⋊Dic79C2411yescharacteristic
917C4⋊Dic79C2411yescharacteristic
918C4⋊Dic79C2411yescharacteristic
919C4⋊Dic79C2411yescharacteristic
920C4⋊Dic79C2411yescharacteristic
921C4⋊Dic79C2412yes—
922C4⋊Dic79C2412yes—
923C4⋊Dic79C2412yes—
924C4⋊Dic79C2414yes—
925C4⋊Dic79C2414yes—
926C4⋊Dic79C2414yes—
927C4⋊Dic79C2414yes—
928C4⋊Dic79C2411yescharacteristic
929C4⋊Dic79C2411yescharacteristic
930C4⋊Dic79C2411yescharacteristic
931C4⋊Dic79C2411yescharacteristic
932C4⋊Dic79C2411yescharacteristic
933C4⋊Dic79C2412yes—
934C4⋊Dic79C2412yes—
935C4⋊Dic79C2412yes—
936Dic79⋊C4C2412yes—
937Dic79⋊C4C2414yes—
938Dic79⋊C4C2414yes—
939Dic79⋊C4C2412yes—
940Dic79⋊C4C2414yes—
941Dic79⋊C4C2412yes—
942Dic79⋊C4C2412yes—
943Dic79⋊C4C2414yes—
944Dic79⋊C4C2412yes—
945Dic79⋊C4C2412yes—
946Dic79⋊C4C2412yes—
947Dic79⋊C4C2412yes—
948Dic79⋊C4C2412yes—
949Dic79⋊C4C2412yes—
950Dic79⋊C4C2412yes—
951Dic79⋊C4C2414yes—
952Dic79⋊C4C2414yes—
953Dic79⋊C4C2414yes—
954Dic79⋊C4C2414yes—
955Dic79⋊C4C2412yes—
956Dic79⋊C4C2412yes—
957Dic79⋊C4C2412yes—
958Dic79⋊C4C2412yes—
959Dic79⋊C4C2412yes—
960Dic79⋊C4C2414yes—
961Dic79⋊C4C2414yes—
962Dic79⋊C4C2412yes—
963Dic79⋊C4C2412yes—
964C22⋊Dic79C2411yescharacteristic
965C22⋊Dic79C2411yescharacteristic
966C22⋊Dic79C2411yescharacteristic
967C22⋊Dic79C2411yescharacteristic
968C22⋊Dic79C2412yes—
969C22⋊Dic79C2412yes—
970C22⋊Dic79C2412yes—
971C22⋊Dic79C2412yes—
972C22⋊Dic79C2412yes—
973C22⋊Dic79C2412yes—
974C22⋊Dic79C2414yes—
975C22⋊Dic79C2411yescharacteristic
976C22⋊Dic79C2411yescharacteristic
977C22⋊Dic79C2411yescharacteristic
978C22⋊Dic79C2411yescharacteristic
979C22⋊Dic79C2412yes—
980(C2×D79)⋊C4C2412yes—
981(C2×D79)⋊C4C2414yes—
982(C2×D79)⋊C4C2412yes—
983(C2×D79)⋊C4C2414yes—
984(C2×D79)⋊C4C2414yes—
985(C2×D79)⋊C4C2414yes—
986(C2×D79)⋊C4C2414yes—
987(C2×D79)⋊C4C2414yes—
988(C2×D79)⋊C4C2414yes—
989(C2×D79)⋊C4C2412yes—
990(C2×D79)⋊C4C2412yes—
991(C2×D79)⋊C4C2412yes—
992(C2×D79)⋊C4C2412yes—
993(C2×D79)⋊C4C2412yes—
994(C2×D79)⋊C4C2412yes—
995(C2×D79)⋊C4C2414yes—
996(C2×D79)⋊C4C2414yes—
997(C2×D79)⋊C4C2414yes—
998(C2×D79)⋊C4C2414yes—
999(C2×D79)⋊C4C2414yes—
1000(C2×D79)⋊C4C2414yes—
1001(C2×D79)⋊C4C2414yes—
1002(C2×D79)⋊C4C2414yes—
1003(C2×D79)⋊C4C2414yes—
1004(C2×D79)⋊C4C2412yes—
1005(C2×D79)⋊C4C2414yes—
1006(C2×D79)⋊C4C2412yes—
1007(C2×D79)⋊C4C2414yes—
1008(C2×D79)⋊C4C2414yes—
1009(C2×D79)⋊C4C2414yes—
1010(C2×D79)⋊C4C2414yes—
1011(C2×D79)⋊C4C2414yes—
1012(C2×D79)⋊C4C2412yes—
1013(C2×D79)⋊C4C2412yes—
1014(C2×D79)⋊C4C2412yes—
1015(C2×D79)⋊C4C2412yes—
1016C4×Dic79C2412yes—
1017C4×Dic79C2412yes—
1018C4×Dic79C2412yes—
1019C4×Dic79C2411yescharacteristic
1020C4×Dic79C2411yescharacteristic
1021C4×Dic79C2411yescharacteristic
1022C4×Dic79C2411yescharacteristic
1023C4×Dic79C2411yescharacteristic
1024C4×Dic79C2412yes—
1025C4×Dic79C2414yes—
1026C4×Dic79C2412yes—
1027C4×Dic79C2412yes—
1028C4×Dic79C2412yes—
1029C4×Dic79C2412yes—
1030C4×Dic79C2412yes—
1031C4×Dic79C2412yes—
1032C4×Dic79C2414yes—
1033C4×Dic79C2412yes—
1034C4×Dic79C2414yes—
1035C4×Dic79C2414yes—
1036C4×Dic79C2411yescharacteristic
1037C4×Dic79C2414yes—
1038C4×Dic79C2412yes—
1039C4×Dic79C2412yes—
1040C4×Dic79C2411yescharacteristic
1041C4×Dic79C2411yescharacteristic
1042C24×C79C2411yescharacteristic
1043#41×C79—24no—
1044C2×Q8×C79—24no—
1045C2×Q8×C79C2412yes—
1046C2×Q8×C79C2412yes—
1047C2×Q8×C79C2411yescharacteristic
1048C2×Q8×C79C2414yes—
1049C2×D4×C79C2412yes—
1050C2×D4×C79C2411yescharacteristic
1051C2×D4×C79C2412yes—
1052C2×D4×C79C2412yes—
1053C22×C4×C79—24no—
1054C22×C4×C79C2411yescharacteristic
1055C22×C4×C79C2411yescharacteristic
1056C22×C4×C79C2412yes—
1057C22×C4×C79C2411yescharacteristic
1058C22×C4×C79C2411yescharacteristic
1059C22×C4×C79C2412yes—
1060C22×C4×C79C2411yescharacteristic
1061C22×C4×C79C2412yes—
1062C22×C4×C79C2412yes—
1063C22×C4×C79C2414yes—
1064C22×C4×C79C2412yes—
1065C22×C4×C79C2411yescharacteristic
1066C4⋊C4×C79C2411yescharacteristic
1067C4⋊C4×C79C2412yes—
1068C4⋊C4×C79C2411yescharacteristic
1069C4⋊C4×C79C2412yes—
1070C4⋊C4×C79C2411yescharacteristic
1071C4⋊C4×C79C2411yescharacteristic
1072C4⋊C4×C79C2412yes—
1073C4⋊C4×C79C2414yes—
1074C4⋊C4×C79C2412yes—
1075C4⋊C4×C79C2414yes—
1076C4⋊C4×C79C2414yes—
1077C4⋊C4×C79C2411yescharacteristic
1078C4⋊C4×C79C2411yescharacteristic
1079C4⋊C4×C79C2414yes—
1080C4⋊C4×C79C2414yes—
1081C4⋊C4×C79C2414yes—
1082C4⋊C4×C79C2414yes—
1083C4⋊C4×C79C2414yes—
1084C4⋊C4×C79C2412yes—
1085C4⋊C4×C79C2412yes—
1086C4⋊C4×C79C2414yes—
1087C4⋊C4×C79C2414yes—
1088C22⋊C4×C79C2412yes—
1089C22⋊C4×C79C2412yes—
1090C22⋊C4×C79C2412yes—
1091C22⋊C4×C79C2412yes—
1092C22⋊C4×C79C2414yes—
1093C22⋊C4×C79C2414yes—
1094C22⋊C4×C79C2412yes—
1095C22⋊C4×C79C2412yes—
1096C22⋊C4×C79C2412yes—
1097C22⋊C4×C79C2414yes—
1098C22⋊C4×C79C2414yes—
1099C22⋊C4×C79C2412yes—
1100C22⋊C4×C79C2412yes—
1101C22⋊C4×C79C2414yes—
1102C42×C79C2412yes—
1103C42×C79C2412yes—
1104C42×C79C2412yes—
1105C42×C79C2412yes—
1106C42×C79C2414yes—
1107C42×C79C2414yes—
1108C42×C79C2414yes—
1109C42×C79C2412yes—
1110C23×C79—22no—
1111C23×C79—41no—
1112C23×C79—41no—
1113C23×C79C2511yescharacteristic
1114C23×C79C2512yes—
1115C23×C79C2511yescharacteristic
1116C23×C79C2511yescharacteristic
1117C22×D79—24no—
1118C22×D79—24no—
1119C22×D79—28no—
1120C22×D79—44no—
1121C22×D79—42no—
1122C22×D79—42no—
1123C22×D79—44no—
1124C22×D79—42no—
1125C22×D79—42no—
1126C22×D79C2514yes—
1127C22×D79C2512yes—
1128C22×D79C2512yes—
1129C22×D79C2512yes—
1130Q8×C79—24no—
1131Q8×C79—24no—
1132Q8×C79—22no—
1133Q8×C79—44no—
1134D4×C79—24no—
1135D4×C79—22no—
1136D4×C79—42no—
1137D4×C79—42no—
1138C2×C4×C79—22no—
1139C2×C4×C79—24no—
1140C2×C4×C79—22no—
1141C2×C4×C79—22no—
1142C2×C4×C79—24no—
1143C2×C4×C79—22no—
1144C2×C4×C79—22no—
1145C2×C4×C79—42no—
1146C2×C4×C79—44no—
1147C2×C4×C79—42no—
1148C2×C4×C79—42no—
1149C2×C4×C79C2×#4114yes—
1150C2×C4×C79C2512yes—
1151C2×C4×C79C2512yes—
1152C2×C4×C79C2514yes—
1153C2×C4×C79C2512yes—
1154C2×C4×C79C2512yes—
1155C2×C4×C79C2512yes—
1156C2×C4×C79C2512yes—
1157C2×C4×C79C2514yes—
1158C2×C4×C79C2512yes—
1159C2×C4×C79C2511yescharacteristic
1160C2×C4×C79C2511yescharacteristic
1161C2×C4×C79C2511yescharacteristic
1162C2×C4×C79C2511yescharacteristic
1163C22⋊D79—24no—
1164C22⋊D79—24no—
1165C22⋊D79—24no—
1166C22⋊D79—28no—
1167C22⋊D79—24no—
1168C22⋊D79—44no—
1169C22⋊D79—44no—
1170C22⋊D79—44no—
1171C22⋊D79—42no—
1172C22⋊D79—42no—
1173C22⋊D79—42no—
1174C22⋊D79—42no—
1175C22⋊D79C2×#4118yes—
1176C2×Dic79—24no—
1177C2×Dic79—42no—
1178C2×Dic79—41no—
1179C2×Dic79—41no—
1180C2×Dic79—42no—
1181C2×Dic79—41no—
1182C2×Dic79—42no—
1183C2×Dic79—41no—
1184C2×Dic79C2511yescharacteristic
1185C2×Dic79C2511yescharacteristic
1186C2×Dic79C2511yescharacteristic
1187C2×Dic79C2511yescharacteristic
1188C2×Dic79C2511yescharacteristic
1189C2×Dic79C2511yescharacteristic
1190C2×Dic79C2512yes—
1191C2×Dic79C2512yes—
1192C2×Dic79C2511yescharacteristic
1193C2×Dic79C2512yes—
1194C2×Dic79C2511yescharacteristic
1195C2×Dic79C2514yes—
1196C2×Dic79C2512yes—
1197C2×Dic79C2512yes—
1198D316—28no—
1199D316—24no—
1200D316—28no—
1201D316—24no—
1202D316—24no—
1203D316—22no—
1204D316—22no—
1205D316—44no—
1206D316—44no—
1207D316—44no—
1208D316—44no—
1209D316—44no—
1210D316C2×#4114yes—
1211C4×D79—24no—
1212C4×D79—28no—
1213C4×D79—24no—
1214C4×D79—24no—
1215C4×D79—24no—
1216C4×D79—28no—
1217C4×D79—28no—
1218C4×D79—42no—
1219C4×D79—44no—
1220C4×D79—44no—
1221C4×D79—44no—
1222C4×D79—44no—
1223C4×D79—42no—
1224C4×D79—44no—
1225C4×D79—42no—
1226C4×D79—42no—
1227C4×D79—42no—
1228C4×D79—42no—
1229C4×D79—44no—
1230C4×D79—42no—
1231C4×D79—44no—
1232C4×D79—42no—
1233C4×D79—42no—
1234C4×D79—42no—
1235C4×D79C2×#4118yes—
1236Dic158—22no—
1237Dic158—22no—
1238Dic158—28no—
1239Dic158—24no—
1240Dic158—42no—
1241Dic158—44no—
1242Dic158—44no—
1243Dic158—44no—
1244Dic158—42no—
1245Dic158C2×#4114yes—
1246C22×C79—21no—
1247C22×C79—21no—
1248C22×C79—21no—
1249C22×C79—22no—
1250C22×C79—21no—
1251C22×C79—21no—
1252C22×C79—21no—
1253C22×C79—22no—
1254C22×C79—21no—
1255C22×C79—22no—
1256C22×C79—21no—
1257C22×C79—82no—
1258C22×C79C22×#4112yes—
1259C22×C79C2611yescharacteristic
1260C2×D79—22no—
1261C2×D79—22no—
1262C2×D79—22no—
1263C2×D79—24no—
1264C2×D79—22no—
1265C2×D79—24no—
1266C2×D79—22no—
1267C2×D79—22no—
1268C2×D79—22no—
1269C2×D79—24no—
1270C2×D79—22no—
1271C2×D79—84no—
1272C2×D79—88no—
1273C2×D79—84no—
1274C2×D79C22×#4114yes—
1275C4×C79—21no—
1276C4×C79—21no—
1277C4×C79—22no—
1278C4×C79—24no—
1279C4×C79—22no—
1280C4×C79—24no—
1281C4×C79—22no—
1282C4×C79—22no—
1283C4×C79—22no—
1284C4×C79—22no—
1285C4×C79—22no—
1286C4×C79C22×#4112yes—
1287C4×C79C22×#4112yes—
1288Dic79—22no—
1289Dic79—22no—
1290Dic79—24no—
1291Dic79—21no—
1292Dic79—22no—
1293Dic79—21no—
1294Dic79—21no—
1295Dic79—21no—
1296Dic79—21no—
1297Dic79—22no—
1298Dic79—21no—
1299Dic79—21no—
1300Dic79—21no—
1301Dic79C22×#4114yes—
1302#62857—791nomaximal, Sylow
1303C2×C79—22no—
1304C2×C79—42no—
1305C2×C79—41no—
1306C2×C79—41no—
1307C2×C79C23×#4111yescharacteristic
1308C2×C79H(7,𝔽2)11yescharacteristic
1309C2×C792−1+611yescharacteristic
1310D79—24no—
1311D79—42no—
1312D79—42no—
1313D79—44no—
1314#3524—792no—
1315#3522—792no—
1316#3521—794no—
1317#3521—792no—
1318#3520—792no—
1319#3520—794no—
1320#3518—792no—
1321#3516—792no—
1322#3514—792no—
1323#3514—794no—
1324#3513—792no—
1325#3513—794no—
1326#3511—792no—
1327#3511—791no—
1328#3510—792no—
1329#3510—791no—
1330#3503—791no—
1331#3500—791no—
1332#3495—792no—
1333#3495D7911yescharacteristic, complemented
1334#3494—792no—
1335#3494—791no—
1336#3489—791no—
1337#3488—791no—
1338#3461—791no—
1339#3461—792no—
1340#3460—791no—
1341#3460—792no—
1342#3455—792no—
1343#3455—791no—
1344C2×#542—792no—
1345C2×#542—791no—
1346C4×2−1+4—791no—
1347C4×H(5,𝔽2)—791no—
1348#3428—791no—
1349C79#6285711yescharacteristic, complemented, Sylow
1350C2×2−1+4—791no—
1351C2×H(5,𝔽2)—791no—
1352C22×#41—791no—
1353#559—794no—
1354#559—792no—
1355#559—792no—
1356#559—794no—
1357Q82—792no—
1358#557—792no—
1359#556—794no—
1360#556—794no—
1361#556—792no—
1362#556—792no—
1363#556—794no—
1364#556—794no—
1365#556—792no—
1366#556C2×D7912yescomplemented
1367#555—794no—
1368#555—792no—
1369#555—792no—
1370#555—794no—
1371#554—794no—
1372#554—792no—
1373#554—794no—
1374#554—794no—
1375#554—792no—
1376#554C2×D7912yescomplemented
1377#553—794no—
1378#553—794no—
1379#553—794no—
1380#553—794no—
1381#553—792no—
1382#553—794no—
1383#553—792no—
1384#552—794no—
1385#552—794no—
1386#552—794no—
1387#552—794no—
1388#552C2×D7912yescomplemented
1389#552C2×D7914yescomplemented
1390#552C2×D7912yescomplemented
1391#551—794no—
1392#551—794no—
1393#551—794no—
1394#551—794no—
1395#551—794no—
1396#551—794no—
1397#551—794no—
1398#551—794no—
1399#551—794no—
1400#551—794no—
1401#551—794no—
1402#551C2×D7914yescomplemented
1403#550—792no—
1404D4×Q8—792no—
1405D4×Q8—792no—
1406D4×Q8—794no—
1407#548—792no—
1408#548—792no—
1409#548—792no—
1410#548—794no—
1411#548—794no—
1412#548—792no—
1413#548—794no—
1414#547—792no—
1415#547—794no—
1416#547—794no—
1417#547—794no—
1418#547—792no—
1419#547—792no—
1420#546—794no—
1421#546—794no—
1422#546—794no—
1423#546—794no—
1424#546—794no—
1425#546—792no—
1426#546—792no—
1427#546—792no—
1428#546—792no—
1429#546—794no—
1430#546—794no—
1431D42—794no—
1432D42—792no—
1433#544—792no—
1434#544—792no—
1435#544—791no—
1436#544C2×D7911yescharacteristic, complemented
1437#542—792no—
1438#542—792no—
1439#542—794no—
1440#542—794no—
1441#542—794no—
1442#542—792no—
1443#542—794no—
1444#542—794no—
1445#542—794no—
1446#542—792no—
1447#542—792no—
1448#542—792no—
1449#542—792no—
1450#542—792no—
1451#542—792no—
1452#542—792no—
1453#542—792no—
1454#542—791no—
1455#542—791no—
1456#542—792no—
1457#542—791no—
1458#542—791no—
1459#542—792no—
1460#542—792no—
1461#542—792no—
1462#542—792no—
1463#542—792no—
1464#542C2×D7912yescomplemented
1465#541—792no—
1466#541—794no—
1467#541—791no—
1468#541—791no—
1469#541—792no—
1470#541C2×D7912yescomplemented
1471#540—792no—
1472#540—792no—
1473#540—794no—
1474#540—791no—
1475#540—791no—
1476#540—792no—
1477#539—794no—
1478#539—794no—
1479#539—794no—
1480#539—792no—
1481#539—792no—
1482#539—794no—
1483#539—794no—
1484#538—794no—
1485#538—794no—
1486#538—794no—
1487#538—794no—
1488#538—794no—
1489#538—792no—
1490#538—792no—
1491#537—791no—
1492#537—792no—
1493#537—792no—
1494#537—791no—
1495#536—791no—
1496#536—792no—
1497#536—792no—
1498#536C2×D7911yescharacteristic, complemented
1499#535—792no—
1500#535—792no—
1501#535—791no—
1502#535—791no—
1503#533—792no—
1504#533—792no—
1505#533—792no—
1506#533—792no—
1507#533—794no—
1508#533—791no—
1509#533C2×D7912yescomplemented
1510#532—791no—
1511#532—792no—
1512#532—792no—
1513#532—792no—
1514#532—792no—
1515#532—794no—
1516#532—792no—
1517C2×C4⋊Q8—792no—
1518C2×C4⋊Q8—791no—
1519#529—794no—
1520#529—794no—
1521#529—794no—
1522#529—794no—
1523#529—792no—
1524#529—792no—
1525#529—792no—
1526#529—794no—
1527#529—792no—
1528#529—792no—
1529#529—792no—
1530#529—794no—
1531#529—792no—
1532#529—792no—
1533#529—792no—
1534#529—792no—
1535#529—794no—
1536#529—794no—
1537#529—794no—
1538#529—792no—
1539#529C2×D7912yescomplemented
1540C2×#126—794no—
1541C2×#126—792no—
1542C2×#124—791no—
1543C2×#124—792no—
1544C2×#124—794no—
1545C2×#124—792no—
1546#525—791no—
1547#525—792no—
1548#525—792no—
1549#525—794no—
1550#525—794no—
1551#525—794no—
1552#525C2×D7911yescharacteristic
1553C2×#123—794no—
1554C2×#123—792no—
1555C2×C22⋊Q8—792no—
1556C2×C22⋊Q8—794no—
1557C2×C22⋊Q8—792no—
1558C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1559C2×#121—791no—
1560C2×#121—792no—
1561#520—792no—
1562#520—792no—
1563#520—792no—
1564#520—792no—
1565#520—792no—
1566#520—791no—
1567#520—791no—
1568#520—794no—
1569#520—791no—
1570#520—791no—
1571#520—791no—
1572#520—791no—
1573#520—791no—
1574#520—792no—
1575#520C2×D7911yescharacteristic, complemented
1576#519—792no—
1577#519—792no—
1578#519—791no—
1579#519—791no—
1580#519C2×D7911yescharacteristic, complemented
1581#518—792no—
1582#518—794no—
1583#518—791no—
1584#518—791no—
1585#518—791no—
1586#518—792no—
1587#518—792no—
1588#518—792no—
1589C4×#41—791no—
1590C4×#41—792no—
1591C4×#41—792no—
1592C4×#41—792no—
1593C4×#41—791no—
1594C4×#41—791no—
1595C4×#41—791no—
1596C4×#41—791no—
1597C4×#41—792no—
1598C4×#41—791no—
1599C4×#41—794no—
1600C4×#41—792no—
1601C4×#41—792no—
1602C2×C4×Q8—791no—
1603C2×C4×Q8—792no—
1604C2×C4×Q8—792no—
1605C2×C4×D4—792no—
1606C2×C4×D4—794no—
1607C2×C4×D4—791no—
1608C2×C4×D4—792no—
1609C2×#117—791no—
1610C2×#117—792no—
1611C2×#117—792no—
1612C2×#117C2×D7911yescharacteristic, complemented
16132−1+4—1588no—
1614H(5,𝔽2)—1588no—
1615C2×#41—794no—
1616C2×#41—792no—
1617C2×#41—792no—
1618C2×#41—792no—
1619C2×#41—791no—
1620C2×#41—794no—
1621C2×#41—794no—
1622C2×#41—792no—
1623C2×#41—791no—
1624C2×#41—791no—
1625C2×#41—794no—
1626C2×#41—792no—
1627C2×#41—791no—
1628C2×#41—792no—
1629C2×#41—791no—
1630C2×#41—1588no—
1631C2×#41C22×D7911yescharacteristic
1632C22×Q8—794no—
1633C22×Q8—792no—
1634C22×Q8—792no—
1635C22×Q8—792no—
1636C22×Q8—791no—
1637C22×Q8C22×D7911yescharacteristic
1638C22×D4—792no—
1639C22×D4—792no—
1640C22×D4—794no—
1641C22×D4—792no—
1642C22×D4—794no—
1643C22×D4—791no—
1644C22×D4—792no—
1645C22×D4—791no—
1646C23×C4—792no—
1647C23×C4—794no—
1648C23×C4—792no—
1649C23×C4C22×D7911yescharacteristic
1650C4⋊Q8—794no—
1651C4⋊Q8—791no—
1652C4⋊Q8—792no—
1653C4⋊Q8—794no—
1654C4⋊Q8—791no—
1655C4⋊Q8—792no—
1656C4⋊Q8—792no—
1657C4⋊Q8—792no—
1658C4⋊Q8—794no—
1659C4⋊Q8—792no—
1660C4⋊Q8—794no—
1661C4⋊Q8—791no—
1662C4⋊Q8—794no—
1663C4⋊Q8—792no—
1664C4⋊Q8—792no—
1665C4⋊Q8C22×D7912yes—
1666C4⋊Q8C22×D7912yes—
1667C4⋊Q8C22×D7912yes—
1668#127—791no—
1669#127—794no—
1670#127—792no—
1671#127—792no—
1672#126—794no—
1673#126—794no—
1674#126—794no—
1675#126—794no—
1676#126—794no—
1677#126—794no—
1678#126—794no—
1679#126—794no—
1680#126—792no—
1681#126—794no—
1682#126—794no—
1683#126—794no—
1684#126—792no—
1685#126—792no—
1686#126—794no—
1687#126—794no—
1688#126—792no—
1689#126—792no—
1690#126—792no—
1691#126—792no—
1692#126—794no—
1693#126—792no—
1694#126—794no—
1695#126—794no—
1696#126—794no—
1697#126—794no—
1698#126C22×D7914yes—
1699#126C22×D7914yes—
1700#126C22×D7914yes—
1701#126C22×D7914yes—
1702#125—794no—
1703#125—792no—
1704#125—791no—
1705#125—791no—
1706#125—792no—
1707#125—794no—
1708#125—792no—
1709#125—792no—
1710#125—794no—
1711#125—794no—
1712#125—792no—
1713#125—794no—
1714#125—794no—
1715#125—792no—
1716#125C22×D7912yes—
1717#125C22×D7914yes—
1718#125C22×D7914yes—
1719#125C22×D7912yes—
1720#125C22×D7914yes—
1721#124—792no—
1722#124—792no—
1723#124—794no—
1724#124—792no—
1725#124—792no—
1726#124—792no—
1727#124—791no—
1728#124—794no—
1729#124—792no—
1730#124—791no—
1731#124—792no—
1732#124—794no—
1733#124—794no—
1734#124—794no—
1735#124—794no—
1736#124—794no—
1737#124—794no—
1738#124—794no—
1739#124—794no—
1740#124—794no—
1741#124—792no—
1742#124—794no—
1743#124—794no—
1744#124—792no—
1745#124—794no—
1746#124—792no—
1747#124—794no—
1748#124—792no—
1749#124—794no—
1750#124—794no—
1751#124—794no—
1752#124C22×D7912yes—
1753#124C22×D7914yes—
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—792no—
1784#123—792no—
1785#123—794no—
1786#123—792no—
1787#123—792no—
1788#123—792no—
1789#123—794no—
1790#123C22×D7914yes—
1791#123C22×D7912yes—
1792#123C22×D7914yes—
1793#123C22×D7914yes—
1794C22⋊Q8—794no—
1795C22⋊Q8—792no—
1796C22⋊Q8—792no—
1797C22⋊Q8—792no—
1798C22⋊Q8—794no—
1799C22⋊Q8—791no—
1800C22⋊Q8—794no—
1801C22⋊Q8—791no—
1802C22⋊Q8—792no—
1803C22⋊Q8—794no—
1804C22⋊Q8—794no—
1805C22⋊Q8—792no—
1806C22⋊Q8—794no—
1807C22⋊Q8—794no—
1808C22⋊Q8—794no—
1809C22⋊Q8—794no—
1810C22⋊Q8—794no—
1811C22⋊Q8—794no—
1812C22⋊Q8—794no—
1813C22⋊Q8—792no—
1814C22⋊Q8—794no—
1815C22⋊Q8—794no—
1816C22⋊Q8—792no—
1817C22⋊Q8—794no—
1818C22⋊Q8—792no—
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—792no—
1828C22⋊Q8—794no—
1829C22⋊Q8—794no—
1830C22⋊Q8—792no—
1831C22⋊Q8—794no—
1832C22⋊Q8—792no—
1833C22⋊Q8—792no—
1834C22⋊Q8C22×D7912yes—
1835C22⋊Q8C22×D7914yes—
1836C22⋊Q8C22×D7912yes—
1837C22⋊Q8C22×D7912yes—
1838C22⋊Q8C22×D7912yes—
1839C22⋊Q8C22×D7911yescharacteristic
1840C22⋊Q8C22×D7914yes—
1841C22⋊Q8C22×D7911yescharacteristic
1842C22⋊Q8C22×D7912yes—
1843C22⋊Q8C22×D7912yes—
1844C22⋊Q8C22×D7914yes—
1845#121—792no—
1846#121—794no—
1847#121—792no—
1848#121—792no—
1849#121—794no—
1850#121—792no—
1851#121—792no—
1852#121—792no—
1853#121—792no—
1854#121—792no—
1855#121—792no—
1856#121—792no—
1857#121—792no—
1858#121—791no—
1859#121—791no—
1860#121—794no—
1861#121—792no—
1862#121—794no—
1863#121—792no—
1864#121—794no—
1865#121—792no—
1866#121—792no—
1867#121—794no—
1868#121—794no—
1869#121—792no—
1870#121—794no—
1871#121—792no—
1872#121—792no—
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#121C22×D7911yescharacteristic
1887#121C22×D7911yescharacteristic
1888#120—792no—
1889#120—794no—
1890#120—794no—
1891#120—794no—
1892#120—794no—
1893#120—794no—
1894#120—794no—
1895#120—794no—
1896#120—794no—
1897#120C22×D7912yes—
1898C4×Q8—792no—
1899C4×Q8—792no—
1900C4×Q8—792no—
1901C4×Q8—792no—
1902C4×Q8—791no—
1903C4×Q8—791no—
1904C4×Q8—791no—
1905C4×Q8—794no—
1906C4×Q8—791no—
1907C4×Q8—791no—
1908C4×Q8—791no—
1909C4×Q8—794no—
1910C4×Q8—791no—
1911C4×Q8—791no—
1912C4×Q8—791no—
1913C4×Q8—791no—
1914C4×Q8—791no—
1915C4×Q8—791no—
1916C4×Q8—792no—
1917C4×Q8—794no—
1918C4×Q8—794no—
1919C4×Q8—794no—
1920C4×Q8—794no—
1921C4×Q8—792no—
1922C4×Q8—792no—
1923C4×Q8—794no—
1924C4×Q8—792no—
1925C4×Q8—792no—
1926C4×Q8—792no—
1927C4×Q8—792no—
1928C4×Q8—792no—
1929C4×Q8—792no—
1930C4×Q8—794no—
1931C4×Q8C22×D7912yes—
1932C4×Q8C22×D7912yes—
1933C4×Q8C22×D7912yes—
1934C4×Q8C22×D7912yes—
1935C4×Q8C22×D7912yes—
1936C4×Q8C22×D7914yes—
1937C4×D4—792no—
1938C4×D4—791no—
1939C4×D4—792no—
1940C4×D4—791no—
1941C4×D4—794no—
1942C4×D4—794no—
1943C4×D4—794no—
1944C4×D4—792no—
1945C4×D4—792no—
1946C4×D4—792no—
1947C4×D4—792no—
1948C4×D4—792no—
1949C4×D4—792no—
1950C4×D4—792no—
1951C4×D4—792no—
1952C4×D4—792no—
1953C4×D4—792no—
1954C4×D4—794no—
1955C4×D4—794no—
1956C4×D4—792no—
1957C4×D4—792no—
1958C4×D4—791no—
1959C4×D4—794no—
1960C4×D4—792no—
1961C4×D4—792no—
1962C4×D4—792no—
1963C4×D4—792no—
1964C4×D4—792no—
1965C4×D4—792no—
1966C4×D4—794no—
1967C4×D4—791no—
1968C4×D4—794no—
1969C4×D4—791no—
1970C4×D4—792no—
1971C4×D4—791no—
1972C4×D4—791no—
1973C4×D4—791no—
1974C4×D4—791no—
1975C4×D4—791no—
1976C4×D4—791no—
1977C4×D4—791no—
1978C4×D4—794no—
1979C4×D4—794no—
1980C4×D4—794no—
1981C4×D4—794no—
1982C4×D4—794no—
1983C4×D4—794no—
1984C4×D4—794no—
1985C4×D4—792no—
1986C4×D4—794no—
1987C4×D4—792no—
1988C4×D4—792no—
1989C4×D4—794no—
1990C4×D4—792no—
1991C4×D4—792no—
1992C4×D4—792no—
1993C4×D4—792no—
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—792no—
2003C4×D4—794no—
2004C4×D4—794no—
2005C4×D4—792no—
2006C4×D4—792no—
2007C4×D4—792no—
2008C4×D4—792no—
2009C4×D4—792no—
2010C4×D4—794no—
2011C4×D4—792no—
2012C4×D4—792no—
2013C4×D4—794no—
2014C4×D4—794no—
2015C4×D4—794no—
2016C4×D4—794no—
2017C4×D4C22×D7912yes—
2018C4×D4C22×D7914yes—
2019C4×D4C22×D7914yes—
2020C4×D4C22×D7912yes—
2021C4×D4C22×D7912yes—
2022#117—791no—
2023#117—791no—
2024#117—791no—
2025#117—791no—
2026#117—791no—
2027#117—791no—
2028#117—791no—
2029#117—791no—
2030#117—791no—
2031#117—792no—
2032#117—792no—
2033#117—792no—
2034#117—792no—
2035#117—792no—
2036#117—792no—
2037#117—794no—
2038#117—792no—
2039#117—794no—
2040#117—794no—
2041#117—792no—
2042#117—794no—
2043#117—794no—
2044#117—792no—
2045#117—792no—
2046#117—792no—
2047#117—792no—
2048#117—794no—
2049#117—792no—
2050#117—792no—
2051#117—792no—
2052#117—792no—
2053#117—794no—
2054#117—792no—
2055#117—794no—
2056#117—794no—
2057#117—794no—
2058#117—794no—
2059#117—794no—
2060#117—794no—
2061#117C22×D7912yes—
2062#117C22×D7911yescharacteristic
2063#117C22×D7911yescharacteristic
2064#117C22×D7911yescharacteristic
2065#117C22×D7911yescharacteristic
2066#117C22×D7912yes—
2067#117C22×D7912yes—
2068#117C22×D7911yescharacteristic
2069#117C22×D7914yes—
2070#117C22×D7914yes—
2071#117C22×D7914yes—
2072C2×C4⋊C4—791no—
2073C2×C4⋊C4—791no—
2074C2×C4⋊C4—791no—
2075C2×C4⋊C4—792no—
2076C2×C4⋊C4—792no—
2077C2×C4⋊C4—792no—
2078C2×C4⋊C4—792no—
2079C2×C4⋊C4—792no—
2080C2×C4⋊C4—792no—
2081C2×C4⋊C4—792no—
2082C2×C4⋊C4—794no—
2083C2×C4⋊C4—792no—
2084C2×C4⋊C4—794no—
2085C2×C4⋊C4—794no—
2086C2×C4⋊C4—792no—
2087C2×C4⋊C4—794no—
2088C2×C4⋊C4—794no—
2089C2×C4⋊C4C22×D7911yescharacteristic
2090C2×C4⋊C4C22×D7911yescharacteristic
2091C2×C4⋊C4C22×D7911yescharacteristic
2092C2×C4⋊C4C22×D7912yes—
2093C2×C4⋊C4C22×D7912yes—
2094C2×C22⋊C4—791no—
2095C2×C22⋊C4—791no—
2096C2×C22⋊C4—792no—
2097C2×C22⋊C4—794no—
2098C2×C22⋊C4—792no—
2099C2×C22⋊C4—792no—
2100C2×C22⋊C4—792no—
2101C2×C22⋊C4—792no—
2102C2×C22⋊C4—792no—
2103C2×C22⋊C4—792no—
2104C2×C22⋊C4—792no—
2105C2×C22⋊C4—794no—
2106C2×C22⋊C4—794no—
2107C2×C22⋊C4—794no—
2108C2×C22⋊C4—794no—
2109C2×C22⋊C4—794no—
2110C2×C22⋊C4—794no—
2111C2×C22⋊C4—794no—
2112C2×C22⋊C4C22×D7912yes—
2113C2×C22⋊C4C22×D7912yes—
2114C2×C42—791no—
2115C2×C42—791no—
2116C2×C42—792no—
2117C2×C42—792no—
2118C2×C42—792no—
2119C2×C42—792no—
2120C2×C42—792no—
2121C2×C42—792no—
2122C2×C42—794no—
2123C2×C42—794no—
2124C2×C42—792no—
2125C2×C42—794no—
2126C2×C42C22×D7912yes—
2127C24—794no—
2128C24—792no—
2129C24—792no—
2130C24C23×D7911yescharacteristic
2131#41—24no—
2132#41—798no—
2133#41—6324no—
2134#41—6324no—
2135#41—6324no—
2136#41—1588no—
2137#41—1588no—
2138#41—1584no—
2139#41—15816no—
2140#41—1584no—
2141#41—1588no—
2142#41—1588no—
2143#41—1588no—
2144#41—1588no—
2145#41—1584no—
2146#41—1584no—
2147C2×Q8—24no—
2148C2×Q8—792no—
2149C2×Q8—794no—
2150C2×Q8—792no—
2151C2×Q8—794no—
2152C2×Q8—794no—
2153C2×Q8—791no—
2154C2×Q8—794no—
2155C2×Q8—791no—
2156C2×Q8—792no—
2157C2×Q8—791no—
2158C2×Q8—6322no—
2159C2×Q8—6324no—
2160C2×Q8—1584no—
2161C2×Q8—1588no—
2162C2×Q8—1588no—
2163C2×Q8C23×D7912yes—
2164C2×Q8C23×D7911yescharacteristic
2165C2×Q8C23×D7912yes—
2166C2×Q8C23×D7914yes—
2167C2×D4—792no—
2168C2×D4—792no—
2169C2×D4—792no—
2170C2×D4—792no—
2171C2×D4—794no—
2172C2×D4—794no—
2173C2×D4—794no—
2174C2×D4—792no—
2175C2×D4—792no—
2176C2×D4—792no—
2177C2×D4—792no—
2178C2×D4—794no—
2179C2×D4—792no—
2180C2×D4—794no—
2181C2×D4—794no—
2182C2×D4—794no—
2183C2×D4—794no—
2184C2×D4—794no—
2185C2×D4—791no—
2186C2×D4—794no—
2187C2×D4—792no—
2188C2×D4—794no—
2189C2×D4—792no—
2190C2×D4—792no—
2191C2×D4—791no—
2192C2×D4—791no—
2193C2×D4—6324no—
2194C2×D4—6322no—
2195C2×D4—1584no—
2196C2×D4—1588no—
2197C2×D4—1588no—
2198C2×D4—15816no—
2199C2×D4—1588no—
2200C2×D4—1584no—
2201C2×D4C23×D7912yes—
2202C2×D4C23×D7911yescharacteristic
2203C2×D4C23×D7912yes—
2204C2×D4C23×D7912yes—
2205C22×C4—24no—
2206C22×C4—791no—
2207C22×C4—791no—
2208C22×C4—791no—
2209C22×C4—792no—
2210C22×C4—791no—
2211C22×C4—792no—
2212C22×C4—792no—
2213C22×C4—792no—
2214C22×C4—792no—
2215C22×C4—792no—
2216C22×C4—792no—
2217C22×C4—794no—
2218C22×C4—792no—
2219C22×C4—794no—
2220C22×C4—792no—
2221C22×C4—792no—
2222C22×C4—792no—
2223C22×C4—792no—
2224C22×C4—792no—
2225C22×C4—794no—
2226C22×C4—794no—
2227C22×C4—794no—
2228C22×C4—794no—
2229C22×C4—794no—
2230C22×C4—792no—
2231C22×C4—792no—
2232C22×C4—792no—
2233C22×C4—794no—
2234C22×C4—794no—
2235C22×C4—792no—
2236C22×C4—794no—
2237C22×C4—792no—
2238C22×C4—792no—
2239C22×C4—6322no—
2240C22×C4—6324no—
2241C22×C4—1588no—
2242C22×C4C23×D7912yes—
2243C22×C4C23×D7912yes—
2244C22×C4C23×D7911yescharacteristic
2245C22×C4C23×D7911yescharacteristic
2246C22×C4C23×D7911yescharacteristic
2247C22×C4C23×D7911yescharacteristic
2248C22×C4C23×D7911yescharacteristic
2249C22×C4C23×D7912yes—
2250C22×C4C23×D7912yes—
2251C22×C4C23×D7912yes—
2252C22×C4C23×D7914yes—
2253C22×C4C23×D7911yescharacteristic
2254C4⋊C4—792no—
2255C4⋊C4—794no—
2256C4⋊C4—794no—
2257C4⋊C4—792no—
2258C4⋊C4—794no—
2259C4⋊C4—792no—
2260C4⋊C4—794no—
2261C4⋊C4—792no—
2262C4⋊C4—792no—
2263C4⋊C4—792no—
2264C4⋊C4—792no—
2265C4⋊C4—792no—
2266C4⋊C4—792no—
2267C4⋊C4—792no—
2268C4⋊C4—792no—
2269C4⋊C4—794no—
2270C4⋊C4—794no—
2271C4⋊C4—792no—
2272C4⋊C4—792no—
2273C4⋊C4—792no—
2274C4⋊C4—794no—
2275C4⋊C4—792no—
2276C4⋊C4—792no—
2277C4⋊C4—794no—
2278C4⋊C4—794no—
2279C4⋊C4—794no—
2280C4⋊C4—792no—
2281C4⋊C4—792no—
2282C4⋊C4—791no—
2283C4⋊C4—791no—
2284C4⋊C4—791no—
2285C4⋊C4—791no—
2286C4⋊C4—791no—
2287C4⋊C4—792no—
2288C4⋊C4—792no—
2289C4⋊C4—792no—
2290C4⋊C4—794no—
2291C4⋊C4—794no—
2292C4⋊C4—791no—
2293C4⋊C4—791no—
2294C4⋊C4—791no—
2295C4⋊C4—791no—
2296C4⋊C4—794no—
2297C4⋊C4—794no—
2298C4⋊C4—791no—
2299C4⋊C4—792no—
2300C4⋊C4—792no—
2301C4⋊C4—792no—
2302C4⋊C4C23×D7911yescharacteristic
2303C4⋊C4C23×D7912yes—
2304C4⋊C4C23×D7912yes—
2305C4⋊C4C23×D7911yescharacteristic
2306C4⋊C4C23×D7914yes—
2307C4⋊C4C23×D7912yes—
2308C4⋊C4C23×D7914yes—
2309C4⋊C4C23×D7914yes—
2310C4⋊C4C23×D7914yes—
2311C4⋊C4C23×D7912yes—
2312C4⋊C4C23×D7911yescharacteristic
2313C4⋊C4C23×D7911yescharacteristic
2314C4⋊C4C23×D7911yescharacteristic
2315C4⋊C4C23×D7914yes—
2316C4⋊C4C23×D7911yescharacteristic
2317C4⋊C4C23×D7914yes—
2318C4⋊C4C23×D7914yes—
2319C4⋊C4C23×D7914yes—
2320C4⋊C4C23×D7912yes—
2321C4⋊C4C23×D7914yes—
2322C4⋊C4C23×D7914yes—
2323C4⋊C4C23×D7912yes—
2324C22⋊C4—791no—
2325C22⋊C4—791no—
2326C22⋊C4—791no—
2327C22⋊C4—791no—
2328C22⋊C4—792no—
2329C22⋊C4—792no—
2330C22⋊C4—792no—
2331C22⋊C4—792no—
2332C22⋊C4—792no—
2333C22⋊C4—792no—
2334C22⋊C4—791no—
2335C22⋊C4—791no—
2336C22⋊C4—791no—
2337C22⋊C4—791no—
2338C22⋊C4—794no—
2339C22⋊C4—792no—
2340C22⋊C4—792no—
2341C22⋊C4—792no—
2342C22⋊C4—794no—
2343C22⋊C4—794no—
2344C22⋊C4—794no—
2345C22⋊C4—794no—
2346C22⋊C4—794no—
2347C22⋊C4—794no—
2348C22⋊C4—794no—
2349C22⋊C4—794no—
2350C22⋊C4—792no—
2351C22⋊C4—792no—
2352C22⋊C4—792no—
2353C22⋊C4—792no—
2354C22⋊C4—792no—
2355C22⋊C4—792no—
2356C22⋊C4—794no—
2357C22⋊C4—794no—
2358C22⋊C4—794no—
2359C22⋊C4—794no—
2360C22⋊C4—794no—
2361C22⋊C4—794no—
2362C22⋊C4—794no—
2363C22⋊C4—794no—
2364C22⋊C4—794no—
2365C22⋊C4—792no—
2366C22⋊C4—792no—
2367C22⋊C4—794no—
2368C22⋊C4—794no—
2369C22⋊C4—794no—
2370C22⋊C4—794no—
2371C22⋊C4—794no—
2372C22⋊C4—792no—
2373C22⋊C4—792no—
2374C22⋊C4—792no—
2375C22⋊C4—792no—
2376C22⋊C4C23×D7912yes—
2377C22⋊C4C23×D7912yes—
2378C22⋊C4C23×D7912yes—
2379C22⋊C4C23×D7914yes—
2380C22⋊C4C23×D7912yes—
2381C22⋊C4C23×D7914yes—
2382C22⋊C4C23×D7914yes—
2383C22⋊C4C23×D7914yes—
2384C22⋊C4C23×D7912yes—
2385C22⋊C4C23×D7914yes—
2386C22⋊C4C23×D7912yes—
2387C22⋊C4C23×D7912yes—
2388C22⋊C4C23×D7912yes—
2389C22⋊C4C23×D7912yes—
2390C42—792no—
2391C42—792no—
2392C42—791no—
2393C42—791no—
2394C42—791no—
2395C42—791no—
2396C42—791no—
2397C42—791no—
2398C42—792no—
2399C42—792no—
2400C42—794no—
2401C42—792no—
2402C42—792no—
2403C42—792no—
2404C42—792no—
2405C42—792no—
2406C42—794no—
2407C42—794no—
2408C42—792no—
2409C42—794no—
2410C42—792no—
2411C42—792no—
2412C42—792no—
2413C42—791no—
2414C42—791no—
2415C42—794no—
2416C42C23×D7912yes—
2417C42C23×D7912yes—
2418C42C23×D7914yes—
2419C42C23×D7914yes—
2420C42C23×D7914yes—
2421C42C23×D7912yes—
2422C42C23×D7912yes—
2423C42C23×D7912yes—
2424C23—22no—
2425C23—41no—
2426C23—41no—
2427C23—3162no—
2428C23—3164no—
2429C23—3162no—
2430C23—3162no—
2431C23—3164no—
2432C23—3162no—
2433C23—792no—
2434C23—794no—
2435C23—792no—
2436C23—792no—
2437C23—1584no—
2438C23—1588no—
2439C23—1584no—
2440C23C24×D7911yescharacteristic
2441C23C24×D7912yes—
2442C23C24×D7911yescharacteristic
2443C23C24×D7911yescharacteristic
2444Q8—24no—
2445Q8—24no—
2446Q8—22no—
2447Q8—44no—
2448Q8—3164no—
2449Q8—3162no—
2450Q8—3164no—
2451Q8—3164no—
2452Q8—3162no—
2453Q8—794no—
2454Q8—1588no—
2455Q8—1584no—
2456Q8—1582no—
2457Q8—1582no—
2458D4—24no—
2459D4—22no—
2460D4—42no—
2461D4—42no—
2462D4—3164no—
2463D4—3164no—
2464D4—3164no—
2465D4—3164no—
2466D4—3164no—
2467D4—3162no—
2468D4—3162no—
2469D4—3164no—
2470D4—3164no—
2471D4—3164no—
2472D4—3162no—
2473D4—3162no—
2474D4—798no—
2475D4—794no—
2476D4—1588no—
2477D4—1584no—
2478D4—1588no—
2479D4—1588no—
2480D4—1584no—
2481D4—1584no—
2482D4—1584no—
2483D4—1584no—
2484D4—1584no—
2485D4—1584no—
2486D4—1582no—
2487D4—1582no—
2488C2×C4—22no—
2489C2×C4—24no—
2490C2×C4—22no—
2491C2×C4—22no—
2492C2×C4—22no—
2493C2×C4—22no—
2494C2×C4—24no—
2495C2×C4—42no—
2496C2×C4—44no—
2497C2×C4—42no—
2498C2×C4—42no—
2499C2×C4—3162no—
2500C2×C4—3164no—
2501C2×C4—3164no—
2502C2×C4—3164no—
2503C2×C4—3164no—
2504C2×C4—3164no—
2505C2×C4—3162no—
2506C2×C4—3164no—
2507C2×C4—3162no—
2508C2×C4—3162no—
2509C2×C4—3162no—
2510C2×C4—3162no—
2511C2×C4—3162no—
2512C2×C4—3164no—
2513C2×C4—3162no—
2514C2×C4—3162no—
2515C2×C4—3162no—
2516C2×C4—3161no—
2517C2×C4—3162no—
2518C2×C4—3162no—
2519C2×C4—3161no—
2520C2×C4—3161no—
2521C2×C4—3162no—
2522C2×C4—3161no—
2523C2×C4—792no—
2524C2×C4—798no—
2525C2×C4—791no—
2526C2×C4—791no—
2527C2×C4—791no—
2528C2×C4—791no—
2529C2×C4—791no—
2530C2×C4—791no—
2531C2×C4—792no—
2532C2×C4—792no—
2533C2×C4—791no—
2534C2×C4—792no—
2535C2×C4—791no—
2536C2×C4—794no—
2537C2×C4—792no—
2538C2×C4—1584no—
2539C2×C4—1588no—
2540C2×C4—1588no—
2541C2×C4—1584no—
2542C2×C4—1588no—
2543C2×C4—1584no—
2544C2×C4—1584no—
2545C2×C4—1584no—
2546C2×C4#41×D7914yes—
2547C2×C4C24×D7912yes—
2548C2×C4C24×D7912yes—
2549C2×C4C24×D7912yes—
2550C2×C4C24×D7914yes—
2551C2×C4C24×D7912yes—
2552C2×C4C24×D7912yes—
2553C2×C4C24×D7912yes—
2554C2×C4C24×D7912yes—
2555C2×C4C24×D7914yes—
2556C2×C4C24×D7911yescharacteristic
2557C2×C4C24×D7911yescharacteristic
2558C2×C4C24×D7911yescharacteristic
2559C2×C4C24×D7911yescharacteristic
2560C22—21no—
2561C22—21no—
2562C22—21no—
2563C22—21no—
2564C22—22no—
2565C22—22no—
2566C22—21no—
2567C22—21no—
2568C22—21no—
2569C22—22no—
2570C22—21no—
2571C22—82no—
2572C22—794no—
2573C22—6324no—
2574C22—6324no—
2575C22—6328no—
2576C22—1582no—
2577C22—1582no—
2578C22—1584no—
2579C22—1582no—
2580C22—1584no—
2581C22—1582no—
2582C22—1582no—
2583C22—1582no—
2584C22—1584no—
2585C22—1582no—
2586C22—1582no—
2587C22C2×#41×D7912yes—
2588C22C25×D7911yescharacteristic
2589C4—21no—
2590C4—21no—
2591C4—22no—
2592C4—24no—
2593C4—22no—
2594C4—24no—
2595C4—22no—
2596C4—22no—
2597C4—22no—
2598C4—22no—
2599C4—22no—
2600C4—794no—
2601C4—1582no—
2602C4—1582no—
2603C4—1581no—
2604C4—1581no—
2605C4—1582no—
2606C4—1584no—
2607C4—1581no—
2608C4—1581no—
2609C4—1581no—
2610C4—1581no—
2611C4—1581no—
2612C4—1582no—
2613C4—1581no—
2614C4C2×#41×D7912yes—
2615C4C2×#41×D7912yes—
2616C2—22no—
2617C2—41no—
2618C2—41no—
2619C2—42no—
2620C2—3164no—
2621C2—3162no—
2622C2—3162no—
2623C2—1584no—
2624C2C22×#41×D7911yescharacteristic
2625C2#2377821111yescharacteristic
2626C2#2377821211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3495C2
hypercenter#3495D79
hypocenterC79#62857
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3495

Complements

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

NH ≅ G/Ntype
1. #23777506C2semidirect
2. #23777484C2semidirect
3. #23777475C2semidirect
4. #23777455C2semidirect
5. #23777446C2semidirect
6. #23777445C2semidirect
7. #23777410C2semidirect
8. #23777392C2semidirect
9. #23777364C2semidirect
10. #23777350C2semidirect
11. #23777345C2semidirect
12. #23777337C2semidirect
13. #23777312C2semidirect
14. #23777303C2semidirect
15. #23777297C2semidirect
16. #23777289C2semidirect
17. #23777215C2semidirect
18. #23777189C2semidirect
19. #23777144C2semidirect
20. #23777135C2semidirect
21. #23777133C2semidirect
22. #23777076C2semidirect
23. #23777061C2semidirect
24. #23776831C2semidirect
25. #23776824C2semidirect
26. #23776823C2semidirect
27. #23776821C2semidirect
28. #23776791C2semidirect
29. #23776788C2semidirect
30. C2×#19099186C2semidirect
31. #542×D79C2semidirect
32. #23776609C2semidirect
33. #23776606C2semidirect
34. #23776601C2semidirect
35. C79×#3495C2semidirect
39. #19099298C22semidirect
40. #19099298C22semidirect
41. #19099297C22semidirect
42. #19099296C22semidirect
43. #19099293C22semidirect
44. #19099290C22semidirect
45. #19099285C22semidirect
46. #19099285C22semidirect
47. #19099285C22semidirect
48. #19099281C22semidirect
49. #19099281C22semidirect
50. #19099280C22semidirect
51. #19099280C22semidirect
52. #19099276C22semidirect
53. #19099276C22semidirect
54. #19099276C22semidirect
55. #19099275C22semidirect
56. #19099269C22semidirect
57. #19099269C22semidirect
58. #19099269C22semidirect
59. #19099268C22semidirect
60. #19099267C22semidirect
61. #19099266C22semidirect
62. #19099264C22semidirect
63. #19099262C22semidirect
64. #19099261C22semidirect
65. #19099258C22semidirect
66. #19099257C22semidirect
67. #19099257C22semidirect
68. #19099251C22semidirect
69. #19099249C22semidirect
70. #19099245C22semidirect
71. #19099245C22semidirect
72. #19099242C22semidirect
73. #19099241C22semidirect
74. #19099240C22semidirect
75. #19099238C22semidirect
76. #19099238C22semidirect
77. #19099238C22semidirect
78. #19099238C22semidirect
79. #19099237C22semidirect
80. #19099237C22semidirect
81. #19099237C22semidirect
82. #19099237C22semidirect
84. #19099228C22semidirect
85. #19099226C22semidirect
86. #19099226C22semidirect
87. #19099225C22semidirect
88. #19099223C22semidirect
89. #19099223C22semidirect
90. #19099223C22semidirect
91. #19099223C22semidirect
93. #19099222C22semidirect
94. #19099215C22semidirect
95. #19099215C22semidirect
96. #19099215C22semidirect
97. #19099214C22semidirect
98. #19099214C22semidirect
99. #19099214C22semidirect
101. #19099206C22semidirect
103. #19099205C22semidirect
104. #19099205C22semidirect
105. #19099205C22semidirect
106. #19099204C22semidirect
107. #19099204C22semidirect
108. #19099204C22semidirect
109. #19099203C22semidirect
110. #19099203C22semidirect
113. #19099193C22semidirect
114. #19099191C22semidirect
115. #19099190C22semidirect
116. #19099187C22semidirect
117. #19099187C22semidirect
118. #19099186C22semidirect
119. #19099186C22semidirect
120. #19099186C22semidirect
121. #19099186C22semidirect
122. #19099186C22semidirect
123. #19099186C22semidirect
124. #19099186C22semidirect
125. #19099186C22semidirect
126. #19099186C22semidirect
127. #19099186C22semidirect
128. #19099186C22semidirect
129. #19099185C22semidirect
130. #19099185C22semidirect
131. #19099185C22semidirect
132. #19099184C22semidirect
133. #19099183C22semidirect
134. #19099183C22semidirect
135. #19099182C22semidirect
136. #19099181C22semidirect
137. #19099180C22semidirect
138. #19099180C22semidirect
139. #19099179C22semidirect
140. #19099179C22semidirect
141. #19099178C22semidirect
142. #19099177C22semidirect
143. #19099174C22semidirect
144. #19099173C22semidirect
145. #19099173C22semidirect
146. #19099173C22semidirect
147. #19099172C22semidirect
148. #19099169C22semidirect
149. #19099169C22semidirect
150. #19099168C22semidirect
151. #19099166C22semidirect
152. #19099166C22semidirect
153. #19099165C22semidirect
154. #19099161C22semidirect
155. #19099161C22semidirect
156. #19099161C22semidirect
157. #19099159C22semidirect
158. #19099157C22semidirect
159. #19099157C22semidirect
160. #19099157C22semidirect
161. #19099153C22semidirect
162. #19099152C22semidirect
163. #19099152C22semidirect
164. #19099152C22semidirect
165. #19099149C22semidirect
166. #19099148C22semidirect
167. #19099148C22semidirect
168. #19099144C22semidirect
170. #19099143C22semidirect
172. #19099138C22semidirect
173. #19099137C22semidirect
174. #19099136C22semidirect
176. #19099132C22semidirect
177. #19099131C22semidirect
179. #19099119C22semidirect
180. #19099118C22semidirect
181. #19099117C22semidirect
182. #19099117C22semidirect
183. #19099116C22semidirect
184. #19099115C22semidirect
185. #19099114C22semidirect
186. #19099114C22semidirect
187. #19099114C22semidirect
188. #19099113C22semidirect
189. #19099110C22semidirect
190. #19099110C22semidirect
191. #19099109C22semidirect
192. C2×#14579160C22semidirect
193. C4⋊Q8×D79C22semidirect
194. #19099100C22semidirect
195. #19099100C22semidirect
196. #19099100C22semidirect
197. #19099099C22semidirect
198. #19099098C22semidirect
199. #19099098C22semidirect
200. #19099098C22semidirect
201. #19099098C22semidirect
202. #19099097C22semidirect
203. #19099096C22semidirect
204. #19099096C22semidirect
205. #19099095C22semidirect
206. #19099095C22semidirect
207. #19099093C22semidirect
208. #19099093C22semidirect
209. #19099092C22semidirect
210. #19099091C22semidirect
211. #19099091C22semidirect
212. #19099091C22semidirect
213. #19099090C22semidirect
214. C2×#14579156C22semidirect
215. #126×D79C22semidirect
216. C2×#14579150C22semidirect
217. C2×#14579147C22semidirect
218. #124×D79C22semidirect
219. #124×D79C22semidirect
221. #19099076C22semidirect
222. #19099076C22semidirect
223. #19099075C22semidirect
224. #19099074C22semidirect
225. #19099072C22semidirect
226. C2×#14579143C22semidirect
227. #123×D79C22semidirect
228. C2×#14579141C22semidirect
229. C22⋊Q8×D79C22semidirect
230. C22⋊Q8×D79C22semidirect
233. #19099045C22semidirect
234. #19099045C22semidirect
235. #19099045C22semidirect
237. #19099044C22semidirect
238. #19099044C22semidirect
239. #19099044C22semidirect
240. #19099044C22semidirect
241. #19099044C22semidirect
243. #19099043C22semidirect
244. #19099043C22semidirect
245. #19099043C22semidirect
246. #19099043C22semidirect
247. #19099040C22semidirect
248. #19099040C22semidirect
249. #19099039C22semidirect
250. #19099039C22semidirect
251. #19099037C22semidirect
252. #19099037C22semidirect
253. #19099037C22semidirect
254. #19099037C22semidirect
255. #19099036C22semidirect
256. #19099036C22semidirect
257. #19099035C22semidirect
258. #19099035C22semidirect
259. #41×Dic79C22semidirect
260. C4×#11929625C22semidirect
261. C4×#11929625C22semidirect
262. C4×#11929625C22semidirect
263. C4×#11929624C22semidirect
264. C4×#11929624C22semidirect
267. #19099031C22semidirect
268. #19099031C22semidirect
269. #19099031C22semidirect
270. #19099031C22semidirect
271. #19099031C22semidirect
272. C2×Q8×Dic79C22semidirect
273. C4×Q8×D79C22semidirect
274. C4×Q8×D79C22semidirect
275. C2×#14579123C22semidirect
276. C2×#14579123C22semidirect
277. C4×D4×D79C22semidirect
278. C4×D4×D79C22semidirect
279. C2×#14579120C22semidirect
280. #117×D79C22semidirect
281. #117×D79C22semidirect
282. #556×C79C22semidirect
283. #554×C79C22semidirect
284. #552×C79C22semidirect
285. #552×C79C22semidirect
286. #552×C79C22semidirect
287. #551×C79C22semidirect
288. #544×C79C22semidirect
289. #542×C79C22semidirect
290. #541×C79C22semidirect
291. #536×C79C22semidirect
292. #533×C79C22semidirect
293. #529×C79C22semidirect
295. C2×C22⋊Q8×C79C22semidirect
296. #520×C79C22semidirect
297. #519×C79C22semidirect
298. C2×#117×C79C22semidirect
830. #11929624#41semidirect
1333. #3495D79semidirect
1349. C79#62857semidirect
1366. #556C2×D79semidirect
1376. #554C2×D79semidirect
1388. #552C2×D79semidirect
1389. #552C2×D79semidirect
1390. #552C2×D79semidirect
1402. #551C2×D79semidirect
1436. #544C2×D79semidirect
1464. #542C2×D79semidirect
1470. #541C2×D79semidirect
1498. #536C2×D79semidirect
1509. #533C2×D79semidirect
1539. #529C2×D79semidirect
1558. C2×C22⋊Q8C2×D79semidirect
1575. #520C2×D79semidirect
1580. #519C2×D79semidirect
1612. C2×#117C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237775062
#237774842
#237774752
#237774552
#237774462
#237774452
#237774102
#237773922
#237773642
#237773502
#237773452
#237773372
#237773122
#237773032
#237772972
#237772892
#237772152
#237771892
#237771442
#237771352
#237771332
#237770762
#237770612
#237768312
#237768242
#237768232
#237768212
#237767912
#237767882
C2×#190991862
#542×D792
#237766092
#237766062
#237766012
C79×#34952
#6285779