Finite Group Databasebeta

← #35197185

Subgroups — #35197185

Order 20224.

7148 conjugacy classes of subgroups.

The subgroup lattice has 2684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777958C214yesmaximal, complemented
2#23777926C214yesmaximal, complemented
3#23777864C214yesmaximal, complemented
4#23777813C211yesmaximal, characteristic, complemented
5#23777807C211yesmaximal, characteristic, complemented
6#23777797C211yesmaximal, characteristic, complemented
7#23777797C211yesmaximal, characteristic, complemented
8#23777788C212yesmaximal, complemented
9#23777781C212yesmaximal, complemented
10#23777628C212yesmaximal, complemented
11#23777620C212yesmaximal, complemented
12#23777481C212yesmaximal, complemented
13#23777479C212yesmaximal, complemented
14#23777451C211yesmaximal, characteristic, complemented
15#23777449C211yesmaximal, characteristic, complemented
16#23777444C211yesmaximal, characteristic, complemented
17#23777310C211yesmaximal, characteristic, complemented
18#23777305C212yesmaximal, complemented
19#23777304C211yesmaximal, characteristic, complemented
20#23777303C212yesmaximal, complemented
21#23777268C212yesmaximal, complemented
22#23777259C212yesmaximal, complemented
23#23777243C212yesmaximal, complemented
24#23777214C212yesmaximal, complemented
25#23777196C212yesmaximal, complemented
26#23777184C211yesmaximal, characteristic, complemented
27#23777179C211yesmaximal, characteristic, complemented
28#23777168C212yesmaximal, complemented
29#23777126C214yesmaximal, complemented
30#23777076C212yesmaximal, complemented
31#23777072C212yesmaximal, complemented
32#23776694C211yesmaximal, characteristic, complemented
33#533×D79C211yesmaximal, characteristic, complemented
34C2×#19099110C211yesmaximal, characteristic, complemented
35C79×#3520C211yesmaximal, characteristic, complemented
36C2×#14579209C2212yescomplemented
37C2×#14579208C2212yescomplemented
38C22×#11929624C2212yes—
39#19099315C2214yescomplemented
40#19099314C2214yescomplemented
41#19099311C2214yescomplemented
42#19099310C2214yescomplemented
43#19099310C2214yescomplemented
44#19099310C2214yescomplemented
45#19099309C2214yescomplemented
46#19099308C2214yescomplemented
47#19099297C2214yescomplemented
48#19099297C2214yescomplemented
49#19099296C2212yescomplemented
50#19099296C2214yescomplemented
51#19099295C2212yescomplemented
52Q8×Dic158C2212yescomplemented
53#19099293C2212yescomplemented
54#19099290C2214yescomplemented
55#19099287C2211yescharacteristic, complemented
56#19099286C2211yescharacteristic, complemented
57#19099284C2212yescomplemented
58#19099283C2211yescharacteristic, complemented
59#19099281C2212yescomplemented
60#19099281C2214yescomplemented
61#19099280C2214yescomplemented
62#19099277C2212yescomplemented
63#19099276C2214yescomplemented
64#19099276C2212yescomplemented
65#19099275C2214yescomplemented
66#19099271C2212yes—
67#19099271C2212yescomplemented
68#19099271C2212yescomplemented
69#19099271C2212yescomplemented
70#19099270C2212yes—
71#19099268C2212yes—
72#19099268C2212yescomplemented
73#19099268C2212yescomplemented
74#19099268C2214yescomplemented
75#19099268C2212yescomplemented
76#19099268C2214yescomplemented
77#19099267C2214yescomplemented
78#19099267C2214yescomplemented
79#19099264C2214yescomplemented
80#19099264C2214yescomplemented
81#19099262C2214yescomplemented
82#19099262C2214yescomplemented
83#19099258C2214yescomplemented
84#19099258C2214yescomplemented
85#19099254C2212yescomplemented
86#19099253C2212yescomplemented
87#19099251C2212yescomplemented
88#19099239C2214yes—
89#19099237C2214yes—
90#19099236C2214yes—
91#19099232C2212yescomplemented
92#19099232C2212yescomplemented
93#19099231C2212yescomplemented
94#19099231C2212yescomplemented
95#19099231C2214yescomplemented
96Q8×D316C2211yescharacteristic, complemented
97D4×Dic158C2214yes—
98D4×Dic158C2211yescharacteristic, complemented
99#19099228C2211yescharacteristic, complemented
100Q8×C22⋊D79C2212yescomplemented
101Q8×C22⋊D79C2212yescomplemented
102#19099226C2214yes—
103#19099226C2212yescomplemented
104#19099226C2214yescomplemented
105#19099226C2212yescomplemented
106#19099225C2212yescomplemented
107#19099225C2212yescomplemented
108#19099223C2214yescomplemented
109#19099223C2212yescomplemented
110#19099222C2214yescomplemented
111#19099222C2214yescomplemented
112#19099222C2212yescomplemented
113#19099221C2212yescomplemented
114#19099221C2214yescomplemented
115#19099221C2212yescomplemented
116#19099220C2212yescomplemented
117#19099218C2211yescharacteristic, complemented
118#19099218C2211yescharacteristic, complemented
119#19099218C2214yescomplemented
120#19099218C2212yescomplemented
121#19099217C2211yescharacteristic, complemented
122#19099217C2211yescharacteristic, complemented
123#19099216C2211yescharacteristic, complemented
124#19099216C2211yescharacteristic, complemented
125#19099216C2212yescomplemented
126#19099215C2214yescomplemented
127#19099215C2214yescomplemented
128#19099215C2212yescomplemented
129#19099214C2214yescomplemented
130#19099214C2214yescomplemented
131#19099214C2212yescomplemented
132#19099213C2212yescomplemented
133#19099212C2212yescomplemented
134#19099211C2214yescomplemented
135#19099211C2214yescomplemented
136#19099211C2214yescomplemented
137#19099209C2214yes—
138#19099209C2212yes—
139#19099207C2212yes—
140#19099204C2214yes—
141#19099204C2212yes—
142#19099203C2214yes—
143#19099203C2214yes—
144#19099200C2214yes—
145#19099200C2214yes—
146#19099193C2214yescomplemented
147#19099192C2214yes—
148#19099192C2214yescomplemented
149#19099189C2214yes—
150#19099188C2214yes—
151#19099187C2212yescomplemented
152#19099185C2212yescomplemented
153#19099185C2212yescomplemented
154#19099184C2212yescomplemented
155#19099184C2214yescomplemented
156#19099183C2214yescomplemented
157#19099182C2212yescomplemented
158#19099181C2214yescomplemented
159#19099179C2214yescomplemented
160#19099179C2214yescomplemented
161#19099179C2214yescomplemented
162#19099178C2212yescomplemented
163#19099178C2212yescomplemented
164#19099178C2214yescomplemented
165#19099177C2214yescomplemented
166#19099165C2214yescomplemented
167#19099165C2214yescomplemented
168#19099165C2214yescomplemented
169#19099163C2214yescomplemented
170#19099161C2214yescomplemented
171#19099161C2214yescomplemented
172#19099156C2214yescomplemented
173#19099155C2214yescomplemented
174#19099154C2214yescomplemented
175#19099148C2214yes—
176#19099146C2214yes—
177#19099144C2212yescomplemented
178#19099144C2212yescomplemented
179#19099143C2212yescomplemented
180#19099143C2212yescomplemented
181#19099143C2212yescomplemented
182#19099143C2214yescomplemented
183#19099142C2212yescomplemented
184#19099142C2212yescomplemented
185#19099142C2212yescomplemented
186#19099142C2214yescomplemented
187#19099141C2212yescomplemented
188#19099141C2212yescomplemented
189#19099139C2212yescomplemented
190#19099137C2212yescomplemented
191#19099136C2212yescomplemented
192#19099136C2212yescomplemented
193#19099136C2212yescomplemented
194#19099136C2212yescomplemented
195#19099136C2214yescomplemented
196#19099135C2214yescomplemented
197#19099128C2214yes—
198#19099120C2211yescharacteristic
199#19099119C2212yescomplemented
200#19099119C2211yescharacteristic, complemented
201#19099118C2211yescharacteristic, complemented
202#19099118C2211yescharacteristic, complemented
203#19099117C2211yescharacteristic, complemented
204#19099117C2212yescomplemented
205#19099117C2212yescomplemented
206#19099117C2212yescomplemented
207#19099116C2212yes—
208#19099115C2211yescharacteristic
209#19099115C2212yes—
210#19099115C2212yes—
211#19099115C2212yescomplemented
212#19099112C2212yescomplemented
213#19099112C2214yescomplemented
214#19099112C2211yescharacteristic, complemented
215#19099110C2211yescharacteristic
216#19099110C2211yescharacteristic
217#19099110C2211yescharacteristic
218#19099110C2211yescharacteristic
219#19099110C2211yescharacteristic
220#19099110C2211yescharacteristic
221#19099110C2212yes—
222#19099110C2212yes—
223#19099110C2212yes—
224#19099110C2211yescharacteristic
225#19099110C2211yescharacteristic
226#19099110C2212yes—
227#19099110C2211yescharacteristic, complemented
228#19099110C2212yescomplemented
229#19099110C2214yescomplemented
230#19099109C2212yescomplemented
231#19099108C2211yescharacteristic
232#19099108C2212yescomplemented
233C2×#14579160C2211yescharacteristic
234C2×#14579160C2212yescomplemented
235C4⋊Q8×D79C2211yescharacteristic, complemented
236C4⋊Q8×D79C2212yescomplemented
237C4⋊Q8×D79C2211yescharacteristic, complemented
238C2×#14579157C2211yescharacteristic
239#19099098C2211yescharacteristic, complemented
240#19099097C2211yescharacteristic
241#19099096C2212yescomplemented
242#19099096C2214yescomplemented
243#19099096C2212yescomplemented
244#19099092C2211yescharacteristic, complemented
245#19099091C2214yescomplemented
246#19099091C2212yescomplemented
247#19099090C2212yes—
248#125×D79C2212yescomplemented
249C2×#14579147C2212yes—
250#19099076C2211yescharacteristic
251#19099076C2212yes—
252#19099074C2212yes—
253#19099073C2211yescharacteristic
254#19099073C2212yes—
255#19099072C2212yes—
256#19099071C2212yes—
257C2×#14579140C2212yes—
258C22⋊Q8×D79C2212yes—
259C22⋊Q8×D79C2212yes—
260C22⋊Q8×D79C2212yes—
261C22⋊Q8×D79C2212yes—
262C2×#14579136C2211yescharacteristic
263C2×#14579134C2212yes—
264C2×#14579132C2211yescharacteristic
265#19099045C2212yescomplemented
266#19099044C2212yescomplemented
267#19099043C2212yescomplemented
268#19099043C2212yescomplemented
269#19099042C2214yes—
270#19099042C2212yescomplemented
271#19099036C2214yes—
272C4×#11929625C2211yescharacteristic, complemented
273#19099031C2212yescomplemented
274C4×#11929623C2212yes—
275C4×#11929623C2211yescharacteristic, complemented
276C4×Q8×D79C2212yescomplemented
277C4×Q8×D79C2212yescomplemented
278C2×C4×D316C2211yescharacteristic
279C2×C4×C22⋊D79C2212yes—
280#117×D79C2212yes—
281C2×C42×D79C2211yescharacteristic
282#556×C79C2211yescharacteristic, complemented
283#554×C79C2212yes—
284#552×C79C2212yescomplemented
285#551×C79C2214yes—
286D4×Q8×C79C2211yescharacteristic, complemented
287#548×C79C2212yescomplemented
288#547×C79C2211yescharacteristic, complemented
289#547×C79C2211yescharacteristic, complemented
290#546×C79C2212yes—
291#542×C79C2212yescomplemented
292#539×C79C2214yescomplemented
293#533×C79C2211yescharacteristic
294#529×C79C2211yescharacteristic
295#525×C79C2212yes—
296C2×C22⋊Q8×C79C2212yes—
297#520×C79C2212yescomplemented
298C2×C4×D4×C79C2211yescharacteristic
299#14579209—48no—
300#14579208—48no—
301C2×#11929625C2311yescharacteristic
302C2×#11929625C2314yes—
303C2×#11929625C2312yes—
304C2×#11929625C2312yes—
305C2×#11929624—48no—
306C2×#11929624C2312yes—
307C2×#11929624C2312yes—
308C2×#11929624C2312yes—
309C2×#11929624C2312yes—
310C2×#11929624C2314yes—
311C2×#11929624C2314yes—
312C2×#11929624C2312yes—
313C2×#11929624C2314yes—
314C2×#11929624C2312yes—
315C2×#11929624C2312yes—
316C2×#11929624C2312yes—
317C2×#11929624C2312yes—
318C2×#11929624C2312yes—
319C2×#11929624C2312yes—
320C2×#11929623C2311yescharacteristic
321C2×#11929623C2312yes—
322C2×#11929623C2314yes—
323C2×#11929623C2312yes—
324C2×#11929623C2314yes—
325C2×#11929623C2312yes—
326C22×Dic158C2312yes—
327C22×Dic158C2314yes—
328C22×Dic158C2312yes—
329C2×Q8×D79C2312yes—
330C2×Q8×D79C2312yes—
331C2×Q8×D79C2314yes—
332C2×Q8×D79C2312yes—
333C2×Q8×D79C2312yes—
334C22×D316C2311yescharacteristic
335C22×D316C2312yes—
336C22×C22⋊D79C2312yes—
337C22×C22⋊D79C2312yes—
338C22×C22⋊D79C2312yes—
339C22×C4×D79C2311yescharacteristic
340C22×C4×D79C2311yescharacteristic
341C22×C4×D79C2311yescharacteristic
342C22×C4×D79C2312yes—
343#14579161C2314yes—
344#14579161C2312yes—
345#14579161C2311yescharacteristic
346#14579161C2311yescharacteristic
347#14579160C2314yes—
348#14579160C2312yes—
349#14579160C2314yes—
350#14579160C2314yes—
351#14579160C2314yes—
352#14579160C2312yes—
353#14579160C2312yes—
354#14579160C2312yes—
355#14579160C2314yes—
356#14579160C2314yes—
357#14579160C2312yes—
358#14579160C2312yes—
359#14579160C2311yescharacteristic
360#14579160C2311yescharacteristic
361#14579160C2312yes—
362#14579160C2311yescharacteristic
363#14579160C2311yescharacteristic
364#14579160C2311yescharacteristic
365#14579160C2312yes—
366#14579160C2311yescharacteristic
367#14579159C2314yes—
368#14579159C2314yes—
369#14579159C2314yes—
370#14579159C2312yes—
371#14579159C2311yescharacteristic
372#14579159C2312yes—
373#14579157C2312yes—
374#14579157C2314yes—
375#14579157C2314yes—
376#14579157C2311yescharacteristic
377#14579157C2311yescharacteristic
378#14579157C2312yes—
379#14579157C2311yescharacteristic
380#14579157C2311yescharacteristic
381#14579157C2311yescharacteristic
382#14579156C2314yes—
383#14579156C2314yes—
384#14579156C2314yes—
385#14579156C2312yes—
386#14579156C2314yes—
387#14579155C2314yes—
388#14579155C2312yes—
389#14579155C2314yes—
390#14579154C2314yes—
391#14579154C2314yes—
392#14579154C2314yes—
393#14579154C2312yes—
394#14579154C2314yes—
395#14579153C2312yes—
396#14579153C2311yescharacteristic
397#14579152C2314yes—
398#14579152C2312yes—
399#14579152C2312yes—
400#14579151C2314yes—
401#14579151C2314yes—
402#14579151C2314yes—
403#14579151C2314yes—
404#14579151C2314yes—
405#14579151C2314yes—
406#14579151C2314yes—
407#14579151C2314yes—
408#14579151C2312yes—
409#14579151C2312yes—
410#14579150C2314yes—
411#14579150C2312yes—
412#14579149C2314yes—
413#14579149C2314yes—
414#14579149C2314yes—
415#14579149C2312yes—
416#14579149C2311yescharacteristic
417#14579148C2314yes—
418#14579148C2312yes—
419#14579147C2312yes—
420#14579147C2314yes—
421#14579147C2314yes—
422#14579147C2314yes—
423#14579147C2314yes—
424#14579147C2314yes—
425#14579147C2314yes—
426#14579147C2312yes—
427#14579147C2312yes—
428#14579147C2314yes—
429#14579147C2314yes—
430#14579147C2312yes—
431#14579147C2314yes—
432#14579147C2314yes—
433#14579147C2312yes—
434#14579147C2312yes—
435#14579147C2312yes—
436#14579147C2312yes—
437#14579147C2312yes—
438#14579147C2312yes—
439#14579146C2314yes—
440#14579146C2314yes—
441#14579146C2314yes—
442#14579146C2314yes—
443#14579146C2314yes—
444#14579146C2314yes—
445#14579146C2314yes—
446#14579146C2314yes—
447#14579146C2314yes—
448#14579146C2314yes—
449#14579146C2312yes—
450#14579146C2312yes—
451#14579145C2314yes—
452#14579145C2314yes—
453#14579145C2314yes—
454#14579145C2314yes—
455#14579144C2314yes—
456#14579144C2314yes—
457#14579144C2314yes—
458#14579144C2314yes—
459#14579144C2312yes—
460#14579143C2314yes—
461#14579143C2314yes—
462#14579143C2314yes—
463#14579143C2314yes—
464#14579143C2314yes—
465#14579143C2314yes—
466#14579143C2314yes—
467#14579143C2314yes—
468#14579143C2312yes—
469#14579143C2312yes—
470#14579142C2314yes—
471#14579142C2314yes—
472#14579141C2311yescharacteristic
473#14579141C2312yes—
474#14579141C2312yes—
475#14579141C2312yes—
476#14579141C2314yes—
477#14579141C2312yes—
478#14579141C2312yes—
479#14579141C2314yes—
480#14579141C2314yes—
481#14579141C2312yes—
482#14579141C2314yes—
483#14579141C2314yes—
484#14579140C2312yes—
485#14579140C2312yes—
486#14579140C2312yes—
487#14579140C2314yes—
488#14579140C2314yes—
489#14579140C2314yes—
490#14579140C2314yes—
491#14579140C2312yes—
492#14579140C2314yes—
493#14579140C2314yes—
494#14579140C2314yes—
495#14579140C2312yes—
496#14579140C2311yescharacteristic
497#14579140C2312yes—
498#14579139C2314yes—
499#14579139C2314yes—
500#14579139C2314yes—
501#14579139C2314yes—
502#14579139C2314yes—
503#14579139C2314yes—
504#14579139C2312yes—
505#14579139C2314yes—
506#14579139C2314yes—
507#14579139C2312yes—
508#14579139C2314yes—
509#14579139C2314yes—
510#14579139C2314yes—
511#14579139C2314yes—
512#14579139C2312yes—
513#14579138C2314yes—
514#14579138C2314yes—
515#14579138C2314yes—
516#14579138C2314yes—
517#14579138C2314yes—
518#14579138C2314yes—
519#14579138C2314yes—
520#14579138C2314yes—
521#14579138C2314yes—
522#14579138C2312yes—
523#14579138C2314yes—
524#14579138C2314yes—
525#14579138C2314yes—
526#14579137C2311yescharacteristic
527#14579137C2312yes—
528#14579137C2312yes—
529#14579137C2312yes—
530#14579137C2314yes—
531#14579137C2312yes—
532#14579137C2312yes—
533#14579137C2312yes—
534#14579137C2314yes—
535#14579136C2311yescharacteristic
536#14579136C2312yes—
537#14579136C2311yescharacteristic
538#14579136C2314yes—
539#14579136C2314yes—
540#14579136C2314yes—
541#14579136C2312yes—
542#14579136C2314yes—
543#14579136C2311yescharacteristic
544#14579136C2312yes—
545#14579136C2311yescharacteristic
546#14579136C2311yescharacteristic
547#14579136C2312yes—
548#14579135C2314yes—
549#14579135C2314yes—
550#14579135C2312yes—
551#14579135C2314yes—
552#14579135C2312yes—
553#14579135C2314yes—
554#14579135C2311yescharacteristic
555#14579134C2312yes—
556#14579134C2314yes—
557#14579134C2314yes—
558#14579134C2314yes—
559#14579134C2314yes—
560#14579134C2314yes—
561#14579134C2314yes—
562#14579134C2314yes—
563#14579134C2314yes—
564#14579134C2312yes—
565#14579134C2312yes—
566#14579134C2312yes—
567#14579134C2314yes—
568#14579134C2314yes—
569#14579134C2312yes—
570#14579134C2312yes—
571#14579134C2312yes—
572#14579134C2312yes—
573#14579134C2312yes—
574#14579134C2312yes—
575#14579134C2312yes—
576#14579133C2314yes—
577#14579133C2314yes—
578#14579133C2314yes—
579#14579133C2314yes—
580#14579133C2314yes—
581#14579133C2314yes—
582#14579133C2312yes—
583#14579133C2314yes—
584#14579133C2314yes—
585#14579132C2311yescharacteristic
586#14579132C2311yescharacteristic
587#14579132C2312yes—
588#14579132C2312yes—
589#14579132C2314yes—
590#14579132C2312yes—
591#14579132C2311yescharacteristic
592#14579132C2314yes—
593#14579132C2314yes—
594#14579132C2311yescharacteristic
595#14579132C2311yescharacteristic
596#14579132C2312yes—
597#14579131C2314yes—
598#14579131C2312yes—
599#14579130C2314yes—
600#14579129C2314yes—
601#14579129C2312yes—
602Q8×Dic79C2312yes—
603Q8×Dic79C2311yescharacteristic
604Q8×Dic79C2312yes—
605Q8×Dic79C2312yes—
606C4×Dic158C2314yes—
607C4×Dic158C2312yes—
608C4×Dic158C2312yes—
609C4×Dic158C2314yes—
610C4×Dic158C2314yes—
611C4×Dic158C2312yes—
612C4×Dic158C2314yes—
613C4×Dic158C2311yescharacteristic
614C4×Dic158C2312yes—
615#14579126C2314yes—
616#14579126C2314yes—
617#14579126C2312yes—
618#14579126C2311yescharacteristic
619#14579126C2312yes—
620#14579126C2314yes—
621#14579126C2312yes—
622#14579126C2312yes—
623#14579126C2314yes—
624#14579126C2312yes—
625#14579126C2312yes—
626C4×D316C2312yes—
627C4×D316C2314yes—
628C4×D316C2311yescharacteristic
629C4×D316C2314yes—
630C4×D316C2311yescharacteristic
631C4×D316C2312yes—
632C4×D316C2311yescharacteristic
633C4×D316C2311yescharacteristic
634C4×D316C2312yes—
635C4×D316C2311yescharacteristic
636C4×D316C2312yes—
637D4×Dic79C2314yes—
638D4×Dic79C2312yes—
639D4×Dic79C2312yes—
640D4×Dic79C2311yescharacteristic
641#14579123C2314yes—
642#14579123C2314yes—
643#14579123C2312yes—
644#14579123C2312yes—
645#14579123C2312yes—
646#14579123C2311yescharacteristic
647#14579123C2312yes—
648C4×C22⋊D79C2314yes—
649C4×C22⋊D79C2314yes—
650C4×C22⋊D79C2314yes—
651C4×C22⋊D79C2314yes—
652C4×C22⋊D79C2314yes—
653C4×C22⋊D79C2314yes—
654C4×C22⋊D79C2314yes—
655C4×C22⋊D79C2314yes—
656C4×C22⋊D79C2314yes—
657C4×C22⋊D79C2312yes—
658C4×C22⋊D79C2312yes—
659C4×C22⋊D79C2312yes—
660C4×C22⋊D79C2312yes—
661C4×C22⋊D79C2312yes—
662C4×C22⋊D79C2312yes—
663C4×C22⋊D79C2312yes—
664C4×C22⋊D79C2312yes—
665C4×C22⋊D79C2312yes—
666C4×C22⋊D79C2312yes—
667C4×C22⋊D79C2312yes—
668(C22⋊D79)⋊C4C2314yes—
669(C22⋊D79)⋊C4C2314yes—
670(C22⋊D79)⋊C4C2314yes—
671(C22⋊D79)⋊C4C2314yes—
672(C22⋊D79)⋊C4C2314yes—
673(C22⋊D79)⋊C4C2314yes—
674(C22⋊D79)⋊C4C2314yes—
675(C22⋊D79)⋊C4C2314yes—
676(C22⋊D79)⋊C4C2314yes—
677(C22⋊D79)⋊C4C2314yes—
678(C22⋊D79)⋊C4C2314yes—
679(C22⋊D79)⋊C4C2312yes—
680(C22⋊D79)⋊C4C2312yes—
681(C22⋊D79)⋊C4C2312yes—
682(C22⋊D79)⋊C4C2312yes—
683(C22⋊D79)⋊C4C2312yes—
684(C22⋊D79)⋊C4C2312yes—
685(C22⋊D79)⋊C4C2312yes—
686#14579120C2312yes—
687#14579120C2312yes—
688#14579119C2312yes—
689#14579119C2311yescharacteristic
690#14579119C2311yescharacteristic
691#14579119C2312yes—
692#14579119C2312yes—
693#14579119C2312yes—
694#14579119C2312yes—
695#14579119C2312yes—
696#14579119C2314yes—
697#14579118C2312yes—
698#14579118C2312yes—
699#14579118C2314yes—
700#14579118C2314yes—
701#14579118C2314yes—
702#14579117C2312yes—
703#14579117C2314yes—
704#14579117C2312yes—
705#14579117C2312yes—
706#14579117C2314yes—
707#14579117C2314yes—
708C2×C4⋊Dic79C2312yes—
709C2×C4⋊Dic79C2312yes—
710C2×C4⋊Dic79C2311yescharacteristic
711C2×Dic79⋊C4C2314yes—
712C2×Dic79⋊C4C2312yes—
713C2×Dic79⋊C4C2314yes—
714C4⋊C4×D79C2314yes—
715C4⋊C4×D79C2312yes—
716C4⋊C4×D79C2312yes—
717C4⋊C4×D79C2312yes—
718C4⋊C4×D79C2312yes—
719C4⋊C4×D79C2312yes—
720C4⋊C4×D79C2314yes—
721C4⋊C4×D79C2314yes—
722C4⋊C4×D79C2314yes—
723C4⋊C4×D79C2312yes—
724C4⋊C4×D79C2314yes—
725C4⋊C4×D79C2312yes—
726C4⋊C4×D79C2312yes—
727C2×C22⋊Dic79C2312yes—
728C2×C22⋊Dic79C2314yes—
729C2×(C2×D79)⋊C4C2312yes—
730C2×(C2×D79)⋊C4C2312yes—
731C22⋊C4×D79C2314yes—
732C22⋊C4×D79C2314yes—
733C22⋊C4×D79C2314yes—
734C2×C4×Dic79C2311yescharacteristic
735C2×C4×Dic79C2311yescharacteristic
736C2×C4×Dic79C2311yescharacteristic
737C2×C4×Dic79C2312yes—
738C42×D79C2311yescharacteristic
739C42×D79C2311yescharacteristic
740C42×D79C2311yescharacteristic
741C42×D79C2311yescharacteristic
742C42×D79C2311yescharacteristic
743C42×D79C2311yescharacteristic
744C42×D79C2311yescharacteristic
745C42×D79C2311yescharacteristic
746C42×D79C2314yes—
747C42×D79C2312yes—
748C2×#41×C79C2312yes—
749C2×#41×C79C2312yes—
750C22×Q8×C79C2312yes—
751C22×D4×C79C2311yescharacteristic
752C23×C4×C79C2312yes—
753C4⋊Q8×C79C2312yes—
754C4⋊Q8×C79C2311yescharacteristic
755C4⋊Q8×C79C2311yescharacteristic
756#126×C79C2312yes—
757#126×C79C2314yes—
758#126×C79C2314yes—
759#125×C79C2312yes—
760#125×C79C2314yes—
761#125×C79C2311yescharacteristic
762#124×C79C2314yes—
763#124×C79C2312yes—
764#124×C79C2311yescharacteristic
765#123×C79C2314yes—
766#123×C79C2314yes—
767#123×C79C2314yes—
768#123×C79C2314yes—
769#123×C79C2312yes—
770C22⋊Q8×C79C2312yes—
771C22⋊Q8×C79C2312yes—
772C22⋊Q8×C79C2312yes—
773C22⋊Q8×C79C2314yes—
774C22⋊Q8×C79C2314yes—
775C22⋊Q8×C79C2312yes—
776C22⋊Q8×C79C2314yes—
777C22⋊Q8×C79C2312yes—
778C22⋊Q8×C79C2314yes—
779C22⋊Q8×C79C2311yescharacteristic
780C22⋊Q8×C79C2312yes—
781#121×C79C2312yes—
782#121×C79C2314yes—
783#121×C79C2312yes—
784#121×C79C2311yescharacteristic
785#120×C79C2314yes—
786C4×Q8×C79C2312yes—
787C4×Q8×C79C2312yes—
788C4×Q8×C79C2312yes—
789C4×Q8×C79C2311yescharacteristic
790C4×D4×C79C2314yes—
791C4×D4×C79C2312yes—
792C4×D4×C79C2311yescharacteristic
793C4×D4×C79C2312yes—
794C4×D4×C79C2314yes—
795C4×D4×C79C2312yes—
796C4×D4×C79C2311yescharacteristic
797C4×D4×C79C2311yescharacteristic
798C4×D4×C79C2314yes—
799C4×D4×C79C2311yescharacteristic
800C4×D4×C79C2312yes—
801C4×D4×C79C2311yescharacteristic
802#117×C79C2312yes—
803#117×C79C2312yes—
804#117×C79C2314yes—
805#117×C79C2312yes—
806C2×C4⋊C4×C79C2312yes—
807C2×C4⋊C4×C79C2312yes—
808C2×C4⋊C4×C79C2314yes—
809C2×C4⋊C4×C79C2311yescharacteristic
810C2×C22⋊C4×C79C2314yes—
811C2×C22⋊C4×C79C2312yes—
812C2×C42×C79C2311yescharacteristic
813C23×D79C2411yescharacteristic
814C23×D79C2412yes—
815#11929625—24no—
816#11929625—44no—
817#11929625—44no—
818#11929625—48no—
819#11929624—28no—
820#11929624—28no—
821#11929624—44no—
822#11929624—44no—
823#11929624—48no—
824#11929624—44no—
825#11929624—44no—
826#11929624—48no—
827#11929624—48no—
828#11929624—44no—
829#11929624—44no—
830#11929624—44no—
831#11929624—44no—
832#11929624—44no—
833#11929623—28no—
834#11929623—24no—
835#11929623—48no—
836#11929623—48no—
837#11929623—44no—
838#11929623—44no—
839C2×Dic158—44no—
840C2×Dic158—44no—
841C2×Dic158—48no—
842C2×Dic158C2411yescharacteristic
843C2×Dic158C2414yes—
844C2×Dic158C2412yes—
845C2×Dic158C2412yes—
846C2×Dic158C2412yes—
847C2×Dic158C2412yes—
848C2×Dic158C2412yes—
849C2×Dic158C2414yes—
850C2×Dic158C2414yes—
851C2×Dic158C2414yes—
852C2×Dic158C2414yes—
853C2×Dic158C2412yes—
854C2×Dic158C2412yes—
855C2×Dic158C2412yes—
856Q8×D79—28no—
857Q8×D79—44no—
858Q8×D79—44no—
859Q8×D79—44no—
860Q8×D79—48no—
861C2×D316—42no—
862C2×D316—44no—
863C2×D316C2412yes—
864C2×D316C2412yes—
865C2×D316C2411yescharacteristic
866C2×D316C2412yes—
867C2×D316C2411yescharacteristic
868C2×D316C2411yescharacteristic
869C2×D316C2412yes—
870C2×D316C2412yes—
871C2×D316C2414yes—
872C2×D316C2412yes—
873C2×D316C2414yes—
874C2×D316C2412yes—
875C2×C22⋊D79—28no—
876C2×C22⋊D79—44no—
877C2×C22⋊D79—44no—
878C2×C22⋊D79C2412yes—
879C2×C22⋊D79C2412yes—
880C2×C22⋊D79C2412yes—
881C2×C22⋊D79C2412yes—
882C2×C22⋊D79C2412yes—
883C2×C22⋊D79C2412yes—
884C2×C22⋊D79C2412yes—
885C2×C22⋊D79C2412yes—
886C2×C22⋊D79C2412yes—
887C2×C22⋊D79C2412yes—
888C2×C22⋊D79C2412yes—
889C2×C22⋊D79C2414yes—
890C2×C22⋊D79C2414yes—
891C2×C22⋊D79C2414yes—
892C2×C22⋊D79C2412yes—
893C2×C22⋊D79C2412yes—
894C2×C22⋊D79C2412yes—
895C2×C22⋊D79C2412yes—
896C2×C22⋊D79C2412yes—
897C2×C22⋊D79C2414yes—
898C2×C22⋊D79C2412yes—
899C22×Dic79C2412yes—
900C22×Dic79C2411yescharacteristic
901C22×Dic79C2412yes—
902C22×Dic79C2414yes—
903C22×Dic79C2414yes—
904C22×Dic79C2412yes—
905C22×Dic79C2414yes—
906C22×Dic79C2411yescharacteristic
907C22×Dic79C2411yescharacteristic
908C2×C4×D79—24no—
909C2×C4×D79—24no—
910C2×C4×D79—44no—
911C2×C4×D79—42no—
912C2×C4×D79C2412yes—
913C2×C4×D79C2411yescharacteristic
914C2×C4×D79C2414yes—
915C2×C4×D79C2412yes—
916C2×C4×D79C2412yes—
917C2×C4×D79C2412yes—
918C2×C4×D79C2412yes—
919C2×C4×D79C2411yescharacteristic
920C2×C4×D79C2411yescharacteristic
921C2×C4×D79C2411yescharacteristic
922C2×C4×D79C2411yescharacteristic
923C2×C4×D79C2411yescharacteristic
924C2×C4×D79C2411yescharacteristic
925C2×C4×D79C2411yescharacteristic
926C2×C4×D79C2411yescharacteristic
927C2×C4×D79C2414yes—
928C2×C4×D79C2414yes—
929C2×C4×D79C2414yes—
930C2×C4×D79C2414yes—
931C2×C4×D79C2414yes—
932C2×C4×D79C2412yes—
933C2×C4×D79C2412yes—
934C2×C4×D79C2414yes—
935C2×C4×D79C2414yes—
936C2×C4×D79C2411yescharacteristic
937C2×C4×D79C2411yescharacteristic
938C2×C4×D79C2411yescharacteristic
939C4⋊Dic79C2411yescharacteristic
940C4⋊Dic79C2412yes—
941C4⋊Dic79C2412yes—
942C4⋊Dic79C2411yescharacteristic
943C4⋊Dic79C2414yes—
944C4⋊Dic79C2412yes—
945C4⋊Dic79C2412yes—
946C4⋊Dic79C2414yes—
947C4⋊Dic79C2414yes—
948C4⋊Dic79C2414yes—
949C4⋊Dic79C2414yes—
950C4⋊Dic79C2411yescharacteristic
951C4⋊Dic79C2412yes—
952C4⋊Dic79C2414yes—
953C4⋊Dic79C2411yescharacteristic
954C4⋊Dic79C2412yes—
955C4⋊Dic79C2412yes—
956Dic79⋊C4C2412yes—
957Dic79⋊C4C2412yes—
958Dic79⋊C4C2414yes—
959Dic79⋊C4C2414yes—
960Dic79⋊C4C2414yes—
961Dic79⋊C4C2414yes—
962Dic79⋊C4C2414yes—
963Dic79⋊C4C2414yes—
964Dic79⋊C4C2414yes—
965Dic79⋊C4C2414yes—
966Dic79⋊C4C2414yes—
967Dic79⋊C4C2414yes—
968Dic79⋊C4C2414yes—
969Dic79⋊C4C2414yes—
970Dic79⋊C4C2414yes—
971Dic79⋊C4C2412yes—
972Dic79⋊C4C2412yes—
973Dic79⋊C4C2414yes—
974Dic79⋊C4C2414yes—
975Dic79⋊C4C2412yes—
976Dic79⋊C4C2414yes—
977Dic79⋊C4C2412yes—
978Dic79⋊C4C2412yes—
979Dic79⋊C4C2412yes—
980Dic79⋊C4C2412yes—
981Dic79⋊C4C2412yes—
982Dic79⋊C4C2412yes—
983Dic79⋊C4C2412yes—
984Dic79⋊C4C2412yes—
985Dic79⋊C4C2412yes—
986C22⋊Dic79C2412yes—
987C22⋊Dic79C2414yes—
988C22⋊Dic79C2412yes—
989C22⋊Dic79C2412yes—
990C22⋊Dic79C2414yes—
991C22⋊Dic79C2412yes—
992C22⋊Dic79C2412yes—
993C22⋊Dic79C2414yes—
994C22⋊Dic79C2414yes—
995C22⋊Dic79C2412yes—
996C22⋊Dic79C2414yes—
997C22⋊Dic79C2412yes—
998C22⋊Dic79C2414yes—
999(C2×D79)⋊C4C2414yes—
1000(C2×D79)⋊C4C2414yes—
1001(C2×D79)⋊C4C2414yes—
1002(C2×D79)⋊C4C2414yes—
1003(C2×D79)⋊C4C2414yes—
1004(C2×D79)⋊C4C2414yes—
1005(C2×D79)⋊C4C2412yes—
1006(C2×D79)⋊C4C2412yes—
1007(C2×D79)⋊C4C2412yes—
1008(C2×D79)⋊C4C2412yes—
1009(C2×D79)⋊C4C2412yes—
1010(C2×D79)⋊C4C2412yes—
1011(C2×D79)⋊C4C2412yes—
1012(C2×D79)⋊C4C2412yes—
1013(C2×D79)⋊C4C2412yes—
1014(C2×D79)⋊C4C2414yes—
1015(C2×D79)⋊C4C2412yes—
1016(C2×D79)⋊C4C2412yes—
1017(C2×D79)⋊C4C2412yes—
1018(C2×D79)⋊C4C2414yes—
1019(C2×D79)⋊C4C2414yes—
1020(C2×D79)⋊C4C2412yes—
1021(C2×D79)⋊C4C2412yes—
1022(C2×D79)⋊C4C2412yes—
1023(C2×D79)⋊C4C2412yes—
1024(C2×D79)⋊C4C2414yes—
1025(C2×D79)⋊C4C2414yes—
1026(C2×D79)⋊C4C2414yes—
1027(C2×D79)⋊C4C2412yes—
1028(C2×D79)⋊C4C2412yes—
1029C4×Dic79C2411yescharacteristic
1030C4×Dic79C2411yescharacteristic
1031C4×Dic79C2411yescharacteristic
1032C4×Dic79C2411yescharacteristic
1033C4×Dic79C2411yescharacteristic
1034C4×Dic79C2411yescharacteristic
1035C4×Dic79C2411yescharacteristic
1036C4×Dic79C2411yescharacteristic
1037C4×Dic79C2411yescharacteristic
1038C4×Dic79C2411yescharacteristic
1039C4×Dic79C2411yescharacteristic
1040C4×Dic79C2411yescharacteristic
1041C4×Dic79C2412yes—
1042C4×Dic79C2414yes—
1043C4×Dic79C2414yes—
1044C4×Dic79C2414yes—
1045C4×Dic79C2412yes—
1046C4×Dic79C2412yes—
1047C4×Dic79C2412yes—
1048C4×Dic79C2412yes—
1049C4×Dic79C2414yes—
1050C4×Dic79C2414yes—
1051C4×Dic79C2414yes—
1052C24×C79C2412yes—
1053#41×C79—44no—
1054#41×C79—44no—
1055C2×Q8×C79—44no—
1056C2×Q8×C79C2411yescharacteristic
1057C2×Q8×C79C2412yes—
1058C2×Q8×C79C2412yes—
1059C2×Q8×C79C2414yes—
1060C2×D4×C79—42no—
1061C2×D4×C79C2411yescharacteristic
1062C2×D4×C79C2411yescharacteristic
1063C2×D4×C79C2412yes—
1064C2×D4×C79C2411yescharacteristic
1065C2×D4×C79C2414yes—
1066C2×D4×C79C2414yes—
1067C2×D4×C79C2412yes—
1068C22×C4×C79—44no—
1069C22×C4×C79C2412yes—
1070C22×C4×C79C2412yes—
1071C22×C4×C79C2412yes—
1072C22×C4×C79C2411yescharacteristic
1073C22×C4×C79C2411yescharacteristic
1074C22×C4×C79C2411yescharacteristic
1075C22×C4×C79C2414yes—
1076C22×C4×C79C2412yes—
1077C22×C4×C79C2414yes—
1078C22×C4×C79C2412yes—
1079C22×C4×C79C2412yes—
1080C22×C4×C79C2414yes—
1081C4⋊C4×C79C2411yescharacteristic
1082C4⋊C4×C79C2412yes—
1083C4⋊C4×C79C2414yes—
1084C4⋊C4×C79C2411yescharacteristic
1085C4⋊C4×C79C2412yes—
1086C4⋊C4×C79C2412yes—
1087C4⋊C4×C79C2411yescharacteristic
1088C4⋊C4×C79C2412yes—
1089C4⋊C4×C79C2414yes—
1090C4⋊C4×C79C2414yes—
1091C4⋊C4×C79C2414yes—
1092C4⋊C4×C79C2412yes—
1093C4⋊C4×C79C2411yescharacteristic
1094C4⋊C4×C79C2412yes—
1095C4⋊C4×C79C2412yes—
1096C4⋊C4×C79C2414yes—
1097C4⋊C4×C79C2412yes—
1098C4⋊C4×C79C2414yes—
1099C4⋊C4×C79C2412yes—
1100C22⋊C4×C79C2412yes—
1101C22⋊C4×C79C2412yes—
1102C22⋊C4×C79C2414yes—
1103C22⋊C4×C79C2412yes—
1104C22⋊C4×C79C2412yes—
1105C22⋊C4×C79C2412yes—
1106C22⋊C4×C79C2414yes—
1107C22⋊C4×C79C2414yes—
1108C22⋊C4×C79C2414yes—
1109C22⋊C4×C79C2412yes—
1110C22⋊C4×C79C2412yes—
1111C22⋊C4×C79C2414yes—
1112C22⋊C4×C79C2412yes—
1113C22⋊C4×C79C2414yes—
1114C22⋊C4×C79C2412yes—
1115C42×C79C2411yescharacteristic
1116C42×C79C2411yescharacteristic
1117C42×C79C2411yescharacteristic
1118C42×C79C2411yescharacteristic
1119C42×C79C2414yes—
1120C42×C79C2414yes—
1121C42×C79C2412yes—
1122C23×C79—24no—
1123C23×C79—42no—
1124C23×C79—42no—
1125C23×C79C2512yes—
1126C23×C79C2512yes—
1127C23×C79C2512yes—
1128C23×C79C2511yescharacteristic
1129C22×D79—22no—
1130C22×D79—24no—
1131C22×D79—22no—
1132C22×D79—41no—
1133C22×D79—42no—
1134C22×D79—42no—
1135C22×D79C2512yes—
1136C22×D79C2512yes—
1137C22×D79C2511yescharacteristic
1138C22×D79C2512yes—
1139C22×D79C2511yescharacteristic
1140Q8×C79—24no—
1141Q8×C79—22no—
1142Q8×C79—24no—
1143Q8×C79—44no—
1144D4×C79—24no—
1145D4×C79—22no—
1146D4×C79—22no—
1147D4×C79—22no—
1148D4×C79—44no—
1149D4×C79—42no—
1150D4×C79—44no—
1151C2×C4×C79—22no—
1152C2×C4×C79—22no—
1153C2×C4×C79—24no—
1154C2×C4×C79—24no—
1155C2×C4×C79—22no—
1156C2×C4×C79—24no—
1157C2×C4×C79—42no—
1158C2×C4×C79—44no—
1159C2×C4×C79—42no—
1160C2×C4×C79—42no—
1161C2×C4×C79—44no—
1162C2×C4×C79—44no—
1163C2×C4×C79C2511yescharacteristic
1164C2×C4×C79C2512yes—
1165C2×C4×C79C2511yescharacteristic
1166C2×C4×C79C2514yes—
1167C2×C4×C79C2512yes—
1168C2×C4×C79C2511yescharacteristic
1169C2×C4×C79C2511yescharacteristic
1170C2×C4×C79C2512yes—
1171C2×C4×C79C2512yes—
1172C2×C4×C79C2514yes—
1173C2×C4×C79C2512yes—
1174C2×C4×C79C2511yescharacteristic
1175C2×C4×C79C2511yescharacteristic
1176C22⋊D79—24no—
1177C22⋊D79—24no—
1178C22⋊D79—24no—
1179C22⋊D79—24no—
1180C22⋊D79—24no—
1181C22⋊D79—24no—
1182C22⋊D79—24no—
1183C22⋊D79—24no—
1184C22⋊D79—24no—
1185C22⋊D79—24no—
1186C22⋊D79—24no—
1187C22⋊D79—42no—
1188C22⋊D79—42no—
1189C22⋊D79—42no—
1190C22⋊D79—42no—
1191C22⋊D79—44no—
1192C22⋊D79—44no—
1193C22⋊D79—44no—
1194C22⋊D79—42no—
1195C22⋊D79—42no—
1196C22⋊D79—44no—
1197C2×Dic79—22no—
1198C2×Dic79—24no—
1199C2×Dic79—24no—
1200C2×Dic79—41no—
1201C2×Dic79—42no—
1202C2×Dic79—44no—
1203C2×Dic79—44no—
1204C2×Dic79—44no—
1205C2×Dic792−1+414yescomplemented
1206C2×Dic79C2512yes—
1207C2×Dic79C2511yescharacteristic
1208C2×Dic79C2514yes—
1209C2×Dic79C2511yescharacteristic
1210C2×Dic79C2511yescharacteristic
1211C2×Dic79C2512yes—
1212C2×Dic79C2512yes—
1213C2×Dic79C2512yes—
1214C2×Dic79C2514yes—
1215C2×Dic79C2512yes—
1216C2×Dic79C2511yescharacteristic
1217C2×Dic79C2511yescharacteristic
1218C2×Dic79C2511yescharacteristic
1219D316—24no—
1220D316—24no—
1221D316—24no—
1222D316—22no—
1223D316—22no—
1224D316—22no—
1225D316—42no—
1226D316—42no—
1227D316—42no—
1228D316—42no—
1229D316—44no—
1230D316—44no—
1231C4×D79—22no—
1232C4×D79—28no—
1233C4×D79—22no—
1234C4×D79—24no—
1235C4×D79—24no—
1236C4×D79—22no—
1237C4×D79—22no—
1238C4×D79—24no—
1239C4×D79—22no—
1240C4×D79—24no—
1241C4×D79—22no—
1242C4×D79—22no—
1243C4×D79—22no—
1244C4×D79—22no—
1245C4×D79—24no—
1246C4×D79—41no—
1247C4×D79—41no—
1248C4×D79—42no—
1249C4×D79—42no—
1250C4×D79—44no—
1251C4×D79—44no—
1252C4×D79—44no—
1253C4×D79—44no—
1254C4×D79—44no—
1255C4×D79—44no—
1256C4×D79—44no—
1257C4×D79H(5,𝔽2)14yes—
1258Dic158—24no—
1259Dic158—22no—
1260Dic158—24no—
1261Dic158—28no—
1262Dic158—24no—
1263Dic158—24no—
1264Dic158—24no—
1265Dic158—44no—
1266Dic158—44no—
1267Dic158—44no—
1268Dic158—44no—
1269Dic158—42no—
1270Dic158—42no—
1271Dic158—42no—
1272C22×C79—21no—
1273C22×C79—21no—
1274C22×C79—22no—
1275C22×C79—22no—
1276C22×C79—22no—
1277C22×C79—22no—
1278C22×C79—22no—
1279C22×C79—22no—
1280C22×C79—22no—
1281C22×C79—22no—
1282C22×C79—22no—
1283C22×C79—84no—
1284C22×C79C2×2−1+412yes—
1285C22×C79C2611yescharacteristic
1286C2×D79—21no—
1287C2×D79—21no—
1288C2×D79—22no—
1289C2×D79—22no—
1290C2×D79—21no—
1291C2×D79—22no—
1292C2×D79—22no—
1293C2×D79—22no—
1294C2×D79—22no—
1295C2×D79—21no—
1296C2×D79—22no—
1297C2×D79—21no—
1298C2×D79—22no—
1299C2×D79—22no—
1300C2×D79—44no—
1301C2×D79—84no—
1302C2×D79C2×H(5,𝔽2)12yes—
1303C4×C79—22no—
1304C4×C79—21no—
1305C4×C79—22no—
1306C4×C79—24no—
1307C4×C79—22no—
1308C4×C79—21no—
1309C4×C79—21no—
1310C4×C79—22no—
1311C4×C79—22no—
1312C4×C79—21no—
1313C4×C79—24no—
1314C4×C79C2×H(5,𝔽2)12yes—
1315C4×C79#58512yes—
1316Dic79—22no—
1317Dic79—22no—
1318Dic79—22no—
1319Dic79—21no—
1320Dic79—24no—
1321Dic79—22no—
1322Dic79—24no—
1323Dic79—21no—
1324Dic79—22no—
1325Dic79—21no—
1326Dic79C2×H(5,𝔽2)12yes—
1327Dic79C2×2−1+412yes—
1328Dic79C2×2−1+412yes—
1329#62835—791nomaximal, Sylow
1330C2×C79—22no—
1331C2×C79—42no—
1332C2×C79—42no—
1333C2×C79—42no—
1334C2×C79C22×H(5,𝔽2)11yescharacteristic
1335C2×C79C22×2−1+411yescharacteristic
1336C2×C79C2×#58511yescharacteristic
1337D79—22no—
1338D79—42no—
1339D79—41no—
1340D79—42no—
1341D79—42no—
1342#3561—794no—
1343#3559—794no—
1344#3554—794no—
1345#3550—791no—
1346#3550—791no—
1347#3548—791no—
1348#3548—791no—
1349#3547—792no—
1350#3547—792no—
1351#3536—792no—
1352#3536—792no—
1353#3522—792no—
1354#3522—792no—
1355#3520—791no—
1356#3520—791no—
1357#3520—791no—
1358#3520D7911yescharacteristic, complemented
1359#3511—791no—
1360#3511—791no—
1361#3511—792no—
1362#3511—792no—
1363#3508—792no—
1364#3507—792no—
1365#3506—792no—
1366#3503—792no—
1367#3501—792no—
1368#3499—791no—
1369#3499—791no—
1370#3497—792no—
1371#3494—794no—
1372#3489—792no—
1373#3489—792no—
1374#3444—791no—
1375C2×#533—791no—
1376C2×#532—791no—
1377C79#6283511yescharacteristic, complemented, Sylow
1378C2×2−1+4—792no—
1379C2×2−1+4—792no—
1380C22×#41—792no—
1381#563—794no—
1382#563—794no—
1383#562—794no—
1384#562—794no—
1385#562—794no—
1386#562—794no—
1387#562—794no—
1388#562—794no—
1389#559—792no—
1390#559—794no—
1391#559—794no—
1392#559—794no—
1393#559—792no—
1394Q82—792no—
1395Q82—792no—
1396#557—794no—
1397#556—791no—
1398#556—794no—
1399#556—792no—
1400#556—791no—
1401#556—791no—
1402#556—792no—
1403#556—794no—
1404#556C2×D7911yescharacteristic, complemented
1405#555—794no—
1406#555—792no—
1407#555—794no—
1408#555—792no—
1409#554—794no—
1410#554—794no—
1411#554—792no—
1412#554—792no—
1413#554—792no—
1414#554—792no—
1415#554—792no—
1416#554—792no—
1417#554—792no—
1418#554—792no—
1419#554—794no—
1420#554—794no—
1421#554—792no—
1422#554C2×D7912yes—
1423#553—794no—
1424#553—794no—
1425#553—794no—
1426#553—794no—
1427#553—794no—
1428#553—794no—
1429#552—792no—
1430#552—792no—
1431#552—792no—
1432#552C2×D7912yescomplemented
1433#551—794no—
1434#551—794no—
1435#551—794no—
1436#551C2×D7914yes—
1437#550—792no—
1438#550—792no—
1439#550—792no—
1440#550—794no—
1441#550—792no—
1442D4×Q8—792no—
1443D4×Q8—792no—
1444D4×Q8—791no—
1445D4×Q8—794no—
1446D4×Q8—792no—
1447D4×Q8—794no—
1448D4×Q8—792no—
1449D4×Q8—791no—
1450D4×Q8—794no—
1451D4×Q8—791no—
1452D4×Q8C2×D7911yescharacteristic, complemented
1453#548—792no—
1454#548—794no—
1455#548—792no—
1456#548—792no—
1457#548—794no—
1458#548—792no—
1459#548—792no—
1460#548—792no—
1461#548—794no—
1462#548—794no—
1463#548—792no—
1464#548C2×D7912yescomplemented
1465#547—792no—
1466#547—791no—
1467#547—792no—
1468#547—791no—
1469#547—794no—
1470#547—794no—
1471#547—794no—
1472#547—794no—
1473#547—794no—
1474#547—792no—
1475#547—792no—
1476#547—791no—
1477#547—791no—
1478#547—794no—
1479#547—791no—
1480#547—792no—
1481#547—791no—
1482#547—794no—
1483#547—794no—
1484#547—792no—
1485#547C2×D7911yescharacteristic, complemented
1486#547C2×D7911yescharacteristic, complemented
1487#546—792no—
1488#546—794no—
1489#546—792no—
1490#546—794no—
1491#546—794no—
1492#546—794no—
1493#546—792no—
1494#546—794no—
1495#546—794no—
1496#546C2×D7912yes—
1497#544—794no—
1498#544—794no—
1499#544—794no—
1500#543—794no—
1501#543—794no—
1502#542—792no—
1503#542—794no—
1504#542—794no—
1505#542—794no—
1506#542—794no—
1507#542—792no—
1508#542—794no—
1509#542—794no—
1510#542—792no—
1511#542—792no—
1512#542—792no—
1513#542—792no—
1514#542—794no—
1515#542—792no—
1516#542—794no—
1517#542C2×D7912yescomplemented
1518#540—794no—
1519#540—794no—
1520#540—794no—
1521#540—794no—
1522#539—794no—
1523#539—794no—
1524#539—794no—
1525#539—794no—
1526#539—794no—
1527#539C2×D7914yescomplemented
1528#538—794no—
1529#538—794no—
1530#537—792no—
1531#537—792no—
1532#537—792no—
1533#537—792no—
1534#537—794no—
1535#537—792no—
1536#537—792no—
1537#537—792no—
1538#537—794no—
1539#537—792no—
1540#537—792no—
1541#537—792no—
1542#536—792no—
1543#536—794no—
1544#536—792no—
1545#536—792no—
1546#536—792no—
1547#536—792no—
1548#536—794no—
1549#536—792no—
1550#535—794no—
1551#533—791no—
1552#533—791no—
1553#533—792no—
1554#533—791no—
1555#533—792no—
1556#533—792no—
1557#533—791no—
1558#533—792no—
1559#533—792no—
1560#533—792no—
1561#533—791no—
1562#533—792no—
1563#533—792no—
1564#533—791no—
1565#533C2×D7911yescharacteristic
1566#532—792no—
1567#532—791no—
1568#532—794no—
1569#532—792no—
1570#532—791no—
1571#532—792no—
1572#532—792no—
1573#532—791no—
1574#532—791no—
1575#532—791no—
1576#532—791no—
1577#532—791no—
1578#532—791no—
1579#532—792no—
1580#532—791no—
1581#532—791no—
1582#532—792no—
1583#532—792no—
1584#532—791no—
1585#532—794no—
1586#532—792no—
1587C2×C4⋊Q8—791no—
1588C2×C4⋊Q8—791no—
1589C2×C4⋊Q8—792no—
1590C2×C4⋊Q8—791no—
1591C2×C4⋊Q8—792no—
1592C2×#127—791no—
1593#529—792no—
1594#529—792no—
1595#529—794no—
1596#529—791no—
1597#529—791no—
1598#529—792no—
1599#529—792no—
1600#529—794no—
1601#529—791no—
1602#529C2×D7911yescharacteristic
1603C2×#125—792no—
1604C2×#124—792no—
1605#525—792no—
1606#525—792no—
1607#525—791no—
1608#525—792no—
1609#525—791no—
1610#525—792no—
1611#525—792no—
1612#525C2×D7912yes—
1613C2×C22⋊Q8—792no—
1614C2×C22⋊Q8—792no—
1615C2×C22⋊Q8—792no—
1616C2×C22⋊Q8—792no—
1617C2×C22⋊Q8—792no—
1618C2×C22⋊Q8C2×D7912yes—
1619C2×#121—791no—
1620C2×#121—791no—
1621C2×#121—792no—
1622#520—792no—
1623#520—794no—
1624#520—792no—
1625#520—792no—
1626#520—792no—
1627#520—792no—
1628#520C2×D7912yescomplemented
1629#518—794no—
1630C4×#41—791no—
1631C4×#41—792no—
1632C4×#41—791no—
1633C4×#41—792no—
1634C2×C4×Q8—792no—
1635C2×C4×Q8—792no—
1636C2×C4×D4—792no—
1637C2×C4×D4—791no—
1638C2×C4×D4C2×D7911yescharacteristic
1639C2×#117—792no—
1640C22×C42—791no—
16412−1+4—3168no—
16422−1+4—3168no—
1643C2×#41—3168no—
1644C2×#41—792no—
1645C2×#41—792no—
1646C2×#41—794no—
1647C2×#41—791no—
1648C2×#41—792no—
1649C2×#41—792no—
1650C2×#41—794no—
1651C2×#41—794no—
1652C2×#41—792no—
1653C2×#41—791no—
1654C2×#41—792no—
1655C2×#41—792no—
1656C2×#41—792no—
1657C2×#41—792no—
1658C2×#41—792no—
1659C2×#41—792no—
1660C2×#41—792no—
1661C2×#41—792no—
1662C2×#41—792no—
1663C2×#41—794no—
1664C2×#41—794no—
1665C2×#41—794no—
1666C2×#41—792no—
1667C2×#41—792no—
1668C2×#41C22×D7912yes—
1669C2×#41C22×D7912yes—
1670C22×Q8—792no—
1671C22×Q8—792no—
1672C22×Q8—792no—
1673C22×Q8—794no—
1674C22×Q8—792no—
1675C22×Q8—792no—
1676C22×Q8—792no—
1677C22×Q8—794no—
1678C22×Q8C22×D7912yes—
1679C22×D4—792no—
1680C22×D4—792no—
1681C22×D4—792no—
1682C22×D4—791no—
1683C22×D4—792no—
1684C22×D4C22×D7911yescharacteristic
1685C23×C4—792no—
1686C23×C4—791no—
1687C23×C4—791no—
1688C23×C4—791no—
1689C23×C4C22×D7912yes—
1690C4⋊Q8—792no—
1691C4⋊Q8—792no—
1692C4⋊Q8—794no—
1693C4⋊Q8—791no—
1694C4⋊Q8—794no—
1695C4⋊Q8—794no—
1696C4⋊Q8—792no—
1697C4⋊Q8—791no—
1698C4⋊Q8—791no—
1699C4⋊Q8—792no—
1700C4⋊Q8—792no—
1701C4⋊Q8—791no—
1702C4⋊Q8—791no—
1703C4⋊Q8—792no—
1704C4⋊Q8—792no—
1705C4⋊Q8—792no—
1706C4⋊Q8—794no—
1707C4⋊Q8—794no—
1708C4⋊Q8—792no—
1709C4⋊Q8—792no—
1710C4⋊Q8—794no—
1711C4⋊Q8—791no—
1712C4⋊Q8—791no—
1713C4⋊Q8—794no—
1714C4⋊Q8—794no—
1715C4⋊Q8—794no—
1716C4⋊Q8—791no—
1717C4⋊Q8—791no—
1718C4⋊Q8—792no—
1719C4⋊Q8—794no—
1720C4⋊Q8C22×D7911yescharacteristic
1721C4⋊Q8C22×D7911yescharacteristic
1722C4⋊Q8C22×D7912yes—
1723#127—791no—
1724#127—791no—
1725#127—792no—
1726#127—791no—
1727#127—791no—
1728#127—792no—
1729#127—791no—
1730#127—794no—
1731#127—794no—
1732#126—792no—
1733#126—794no—
1734#126—794no—
1735#126—794no—
1736#126—794no—
1737#126—792no—
1738#126—794no—
1739#126—794no—
1740#126—794no—
1741#126—794no—
1742#126—792no—
1743#126—794no—
1744#126—794no—
1745#126C22×D7912yes—
1746#126C22×D7914yes—
1747#126C22×D7914yes—
1748#125—794no—
1749#125—794no—
1750#125—792no—
1751#125—792no—
1752#125—792no—
1753#125—792no—
1754#125—794no—
1755#125—794no—
1756#125—794no—
1757#125—794no—
1758#125—794no—
1759#125—794no—
1760#125—794no—
1761#125—792no—
1762#125—791no—
1763#125C22×D7912yes—
1764#125C22×D7911yescharacteristic
1765#125C22×D7914yes—
1766#124—792no—
1767#124—794no—
1768#124—792no—
1769#124—794no—
1770#124—792no—
1771#124—792no—
1772#124—792no—
1773#124—792no—
1774#124—792no—
1775#124—792no—
1776#124—792no—
1777#124—792no—
1778#124—792no—
1779#124—792no—
1780#124—794no—
1781#124—794no—
1782#124—794no—
1783#124—794no—
1784#124—794no—
1785#124—794no—
1786#124—794no—
1787#124—794no—
1788#124—794no—
1789#124—794no—
1790#124—791no—
1791#124—792no—
1792#124—794no—
1793#124—794no—
1794#124—794no—
1795#124C22×D7911yescharacteristic
1796#124C22×D7912yes—
1797#124C22×D7914yes—
1798#123—794no—
1799#123—794no—
1800#123—792no—
1801#123—794no—
1802#123—794no—
1803#123—794no—
1804#123—794no—
1805#123—792no—
1806#123—792no—
1807#123—794no—
1808#123—794no—
1809#123—794no—
1810#123—794no—
1811#123—794no—
1812#123—794no—
1813#123—794no—
1814#123—794no—
1815#123—794no—
1816#123—794no—
1817#123—792no—
1818#123—792no—
1819#123—794no—
1820#123—794no—
1821#123—794no—
1822#123—794no—
1823#123—794no—
1824#123—794no—
1825#123—794no—
1826#123—794no—
1827#123—794no—
1828#123—794no—
1829#123—794no—
1830#123—794no—
1831#123C22×D7912yes—
1832#123C22×D7914yes—
1833#123C22×D7914yes—
1834#123C22×D7914yes—
1835#123C22×D7914yes—
1836C22⋊Q8—792no—
1837C22⋊Q8—792no—
1838C22⋊Q8—792no—
1839C22⋊Q8—792no—
1840C22⋊Q8—791no—
1841C22⋊Q8—792no—
1842C22⋊Q8—792no—
1843C22⋊Q8—794no—
1844C22⋊Q8—794no—
1845C22⋊Q8—791no—
1846C22⋊Q8—792no—
1847C22⋊Q8—792no—
1848C22⋊Q8—792no—
1849C22⋊Q8—792no—
1850C22⋊Q8—794no—
1851C22⋊Q8—794no—
1852C22⋊Q8—792no—
1853C22⋊Q8—792no—
1854C22⋊Q8—794no—
1855C22⋊Q8—794no—
1856C22⋊Q8—794no—
1857C22⋊Q8—794no—
1858C22⋊Q8—794no—
1859C22⋊Q8—792no—
1860C22⋊Q8—792no—
1861C22⋊Q8—794no—
1862C22⋊Q8—794no—
1863C22⋊Q8—792no—
1864C22⋊Q8—792no—
1865C22⋊Q8—794no—
1866C22⋊Q8—794no—
1867C22⋊Q8—792no—
1868C22⋊Q8—791no—
1869C22⋊Q8—792no—
1870C22⋊Q8—792no—
1871C22⋊Q8—792no—
1872C22⋊Q8—794no—
1873C22⋊Q8—792no—
1874C22⋊Q8—794no—
1875C22⋊Q8—794no—
1876C22⋊Q8—794no—
1877C22⋊Q8—794no—
1878C22⋊Q8—794no—
1879C22⋊Q8—794no—
1880C22⋊Q8—794no—
1881C22⋊Q8—794no—
1882C22⋊Q8—794no—
1883C22⋊Q8—794no—
1884C22⋊Q8—794no—
1885C22⋊Q8—794no—
1886C22⋊Q8—794no—
1887C22⋊Q8—794no—
1888C22⋊Q8—794no—
1889C22⋊Q8—794no—
1890C22⋊Q8—792no—
1891C22⋊Q8—794no—
1892C22⋊Q8—794no—
1893C22⋊Q8—794no—
1894C22⋊Q8—794no—
1895C22⋊Q8—794no—
1896C22⋊Q8—794no—
1897C22⋊Q8—794no—
1898C22⋊Q8—794no—
1899C22⋊Q8C22×D7911yescharacteristic
1900C22⋊Q8C22×D7912yes—
1901C22⋊Q8C22×D7912yes—
1902C22⋊Q8C22×D7912yes—
1903C22⋊Q8C22×D7912yes—
1904C22⋊Q8C22×D7914yes—
1905C22⋊Q8C22×D7914yes—
1906C22⋊Q8C22×D7912yes—
1907C22⋊Q8C22×D7912yes—
1908C22⋊Q8C22×D7914yes—
1909C22⋊Q8C22×D7914yes—
1910#121—792no—
1911#121—791no—
1912#121—791no—
1913#121—791no—
1914#121—791no—
1915#121—792no—
1916#121—791no—
1917#121—792no—
1918#121—792no—
1919#121—794no—
1920#121—794no—
1921#121—794no—
1922#121—792no—
1923#121—794no—
1924#121—794no—
1925#121—794no—
1926#121—794no—
1927#121—794no—
1928#121—794no—
1929#121—794no—
1930#121—794no—
1931#121—791no—
1932#121—792no—
1933#121—792no—
1934#121—794no—
1935#121—794no—
1936#121—794no—
1937#121—794no—
1938#121—792no—
1939#121—791no—
1940#121—791no—
1941#121—791no—
1942#121—791no—
1943#121—792no—
1944#121—791no—
1945#121—792no—
1946#121—794no—
1947#121—792no—
1948#121—794no—
1949#121—794no—
1950#121—794no—
1951#121—792no—
1952#121—792no—
1953#121—792no—
1954#121—792no—
1955#121—792no—
1956#121—792no—
1957#121—792no—
1958#121—792no—
1959#121—792no—
1960#121—792no—
1961#121—792no—
1962#121—794no—
1963#121—794no—
1964#121—794no—
1965#121—794no—
1966#121—794no—
1967#121—794no—
1968#121—794no—
1969#121—794no—
1970#121—794no—
1971#121—794no—
1972#121C22×D7911yescharacteristic
1973#121C22×D7912yes—
1974#121C22×D7912yes—
1975#121C22×D7914yes—
1976#120—794no—
1977#120—792no—
1978#120—794no—
1979#120—792no—
1980#120—794no—
1981#120C22×D7914yes—
1982C4×Q8—792no—
1983C4×Q8—792no—
1984C4×Q8—791no—
1985C4×Q8—792no—
1986C4×Q8—792no—
1987C4×Q8—794no—
1988C4×Q8—792no—
1989C4×Q8—794no—
1990C4×Q8—791no—
1991C4×Q8—792no—
1992C4×Q8—792no—
1993C4×Q8—792no—
1994C4×Q8—794no—
1995C4×Q8—794no—
1996C4×Q8—792no—
1997C4×Q8—792no—
1998C4×Q8—794no—
1999C4×Q8—792no—
2000C4×Q8—794no—
2001C4×Q8—791no—
2002C4×Q8—792no—
2003C4×Q8—794no—
2004C4×Q8—794no—
2005C4×Q8—792no—
2006C4×Q8C22×D7912yes—
2007C4×Q8C22×D7912yes—
2008C4×Q8C22×D7911yescharacteristic
2009C4×Q8C22×D7912yes—
2010C4×D4—792no—
2011C4×D4—791no—
2012C4×D4—794no—
2013C4×D4—792no—
2014C4×D4—792no—
2015C4×D4—792no—
2016C4×D4—792no—
2017C4×D4—792no—
2018C4×D4—792no—
2019C4×D4—792no—
2020C4×D4—792no—
2021C4×D4—792no—
2022C4×D4—792no—
2023C4×D4—792no—
2024C4×D4—792no—
2025C4×D4—794no—
2026C4×D4—794no—
2027C4×D4—794no—
2028C4×D4—794no—
2029C4×D4—794no—
2030C4×D4—794no—
2031C4×D4—794no—
2032C4×D4—794no—
2033C4×D4—794no—
2034C4×D4—792no—
2035C4×D4—792no—
2036C4×D4—792no—
2037C4×D4—791no—
2038C4×D4—794no—
2039C4×D4—794no—
2040C4×D4—792no—
2041C4×D4—792no—
2042C4×D4—792no—
2043C4×D4—792no—
2044C4×D4—792no—
2045C4×D4—792no—
2046C4×D4—792no—
2047C4×D4—792no—
2048C4×D4—794no—
2049C4×D4—794no—
2050C4×D4—794no—
2051C4×D4—794no—
2052C4×D4—794no—
2053C4×D4—794no—
2054C4×D4—794no—
2055C4×D4—794no—
2056C4×D4—794no—
2057C4×D4—794no—
2058C4×D4—794no—
2059C4×D4—791no—
2060C4×D4—791no—
2061C4×D4—792no—
2062C4×D4—791no—
2063C4×D4—791no—
2064C4×D4—792no—
2065C4×D4—792no—
2066C4×D4—791no—
2067C4×D4—794no—
2068C4×D4—792no—
2069C4×D4—794no—
2070C4×D4C22×D7911yescharacteristic
2071C4×D4C22×D7911yescharacteristic
2072C4×D4C22×D7912yes—
2073C4×D4C22×D7911yescharacteristic
2074C4×D4C22×D7911yescharacteristic
2075C4×D4C22×D7912yes—
2076C4×D4C22×D7912yes—
2077C4×D4C22×D7911yescharacteristic
2078C4×D4C22×D7914yes—
2079C4×D4C22×D7914yes—
2080C4×D4C22×D7912yes—
2081C4×D4C22×D7914yes—
2082#117—792no—
2083#117—792no—
2084#117—792no—
2085#117—792no—
2086#117—791no—
2087#117—791no—
2088#117—792no—
2089#117—792no—
2090#117—792no—
2091#117—792no—
2092#117—794no—
2093#117—794no—
2094#117—792no—
2095#117—792no—
2096#117—792no—
2097#117—794no—
2098#117—794no—
2099#117—794no—
2100#117—792no—
2101#117—792no—
2102#117—794no—
2103#117—794no—
2104#117C22×D7912yes—
2105#117C22×D7912yes—
2106#117C22×D7912yes—
2107#117C22×D7914yes—
2108C2×C4⋊C4—792no—
2109C2×C4⋊C4—791no—
2110C2×C4⋊C4—792no—
2111C2×C4⋊C4—794no—
2112C2×C4⋊C4—792no—
2113C2×C4⋊C4—794no—
2114C2×C4⋊C4—792no—
2115C2×C4⋊C4—792no—
2116C2×C4⋊C4—792no—
2117C2×C4⋊C4—794no—
2118C2×C4⋊C4—794no—
2119C2×C4⋊C4—792no—
2120C2×C4⋊C4—792no—
2121C2×C4⋊C4—792no—
2122C2×C4⋊C4—794no—
2123C2×C4⋊C4—794no—
2124C2×C4⋊C4—792no—
2125C2×C4⋊C4—792no—
2126C2×C4⋊C4—794no—
2127C2×C4⋊C4C22×D7911yescharacteristic
2128C2×C4⋊C4C22×D7912yes—
2129C2×C4⋊C4C22×D7914yes—
2130C2×C4⋊C4C22×D7912yes—
2131C2×C22⋊C4—792no—
2132C2×C22⋊C4—794no—
2133C2×C22⋊C4—792no—
2134C2×C22⋊C4—792no—
2135C2×C22⋊C4—794no—
2136C2×C22⋊C4—794no—
2137C2×C22⋊C4—794no—
2138C2×C22⋊C4C22×D7912yes—
2139C2×C22⋊C4C22×D7914yes—
2140C2×C42—791no—
2141C2×C42—792no—
2142C2×C42—791no—
2143C2×C42—791no—
2144C2×C42—794no—
2145C2×C42—791no—
2146C2×C42—791no—
2147C2×C42—792no—
2148C2×C42—791no—
2149C2×C42—791no—
2150C2×C42—791no—
2151C2×C42—791no—
2152C2×C42—791no—
2153C2×C42—791no—
2154C2×C42C22×D7911yescharacteristic
2155C24—792no—
2156C24—791no—
2157C24C23×D7912yes—
2158#41—44no—
2159#41—44no—
2160#41—3164no—
2161#41—3164no—
2162#41—3164no—
2163#41—3164no—
2164#41—3164no—
2165#41—3164no—
2166#41—3164no—
2167#41—3168no—
2168#41—3164no—
2169#41—3164no—
2170#41—3168no—
2171#41—3168no—
2172#41—3164no—
2173#41—3164no—
2174#41—3168no—
2175#41—3168no—
2176#41—3164no—
2177#41—3164no—
2178#41—3168no—
2179#41—1588no—
2180#41—1588no—
2181#41—1588no—
2182#41—1584no—
2183#41—1584no—
2184C2×Q8—44no—
2185C2×Q8—3164no—
2186C2×Q8—3164no—
2187C2×Q8—3168no—
2188C2×Q8—3164no—
2189C2×Q8—3164no—
2190C2×Q8—3164no—
2191C2×Q8—3168no—
2192C2×Q8—792no—
2193C2×Q8—794no—
2194C2×Q8—794no—
2195C2×Q8—794no—
2196C2×Q8—794no—
2197C2×Q8—792no—
2198C2×Q8—792no—
2199C2×Q8—792no—
2200C2×Q8—792no—
2201C2×Q8—791no—
2202C2×Q8—792no—
2203C2×Q8—792no—
2204C2×Q8—794no—
2205C2×Q8—792no—
2206C2×Q8—1588no—
2207C2×Q8C23×D7912yes—
2208C2×Q8C23×D7911yescharacteristic
2209C2×Q8C23×D7912yes—
2210C2×Q8C23×D7914yes—
2211C2×D4—42no—
2212C2×D4—3162no—
2213C2×D4—3164no—
2214C2×D4—3164no—
2215C2×D4—3164no—
2216C2×D4—792no—
2217C2×D4—794no—
2218C2×D4—794no—
2219C2×D4—792no—
2220C2×D4—794no—
2221C2×D4—794no—
2222C2×D4—792no—
2223C2×D4—792no—
2224C2×D4—792no—
2225C2×D4—792no—
2226C2×D4—792no—
2227C2×D4—792no—
2228C2×D4—792no—
2229C2×D4—792no—
2230C2×D4—792no—
2231C2×D4—792no—
2232C2×D4—792no—
2233C2×D4—792no—
2234C2×D4—792no—
2235C2×D4—792no—
2236C2×D4—792no—
2237C2×D4—792no—
2238C2×D4—794no—
2239C2×D4—792no—
2240C2×D4—794no—
2241C2×D4—792no—
2242C2×D4—792no—
2243C2×D4—791no—
2244C2×D4—791no—
2245C2×D4—792no—
2246C2×D4—792no—
2247C2×D4—792no—
2248C2×D4—791no—
2249C2×D4—1588no—
2250C2×D4C23×D7912yes—
2251C2×D4C23×D7911yescharacteristic
2252C2×D4C23×D7911yescharacteristic
2253C2×D4C23×D7911yescharacteristic
2254C2×D4C23×D7914yes—
2255C2×D4C23×D7912yes—
2256C2×D4C23×D7914yes—
2257C22×C4—44no—
2258C22×C4—3162no—
2259C22×C4—3164no—
2260C22×C4—791no—
2261C22×C4—792no—
2262C22×C4—794no—
2263C22×C4—794no—
2264C22×C4—794no—
2265C22×C4—791no—
2266C22×C4—791no—
2267C22×C4—794no—
2268C22×C4—794no—
2269C22×C4—794no—
2270C22×C4—794no—
2271C22×C4—794no—
2272C22×C4—792no—
2273C22×C4—792no—
2274C22×C4—794no—
2275C22×C4—794no—
2276C22×C4—791no—
2277C22×C4—791no—
2278C22×C4—791no—
2279C22×C4—792no—
2280C22×C4—792no—
2281C22×C4—791no—
2282C22×C4—791no—
2283C22×C4—791no—
2284C22×C4—791no—
2285C22×C4—791no—
2286C22×C4—791no—
2287C22×C4—791no—
2288C22×C4—791no—
2289C22×C4—791no—
2290C22×C4—794no—
2291C22×C4—792no—
2292C22×C4—792no—
2293C22×C4—792no—
2294C22×C4—792no—
2295C22×C4—792no—
2296C22×C4—1584no—
2297C22×C4—1584no—
2298C22×C4C23×D7911yescharacteristic
2299C22×C4C23×D7911yescharacteristic
2300C22×C4C23×D7911yescharacteristic
2301C22×C4C23×D7912yes—
2302C22×C4C23×D7912yes—
2303C22×C4C23×D7912yes—
2304C22×C4C23×D7912yes—
2305C22×C4C23×D7914yes—
2306C22×C4C23×D7914yes—
2307C22×C4C23×D7912yes—
2308C22×C4C23×D7914yes—
2309C22×C4C23×D7912yes—
2310C4⋊C4—792no—
2311C4⋊C4—792no—
2312C4⋊C4—794no—
2313C4⋊C4—792no—
2314C4⋊C4—794no—
2315C4⋊C4—794no—
2316C4⋊C4—794no—
2317C4⋊C4—794no—
2318C4⋊C4—792no—
2319C4⋊C4—792no—
2320C4⋊C4—794no—
2321C4⋊C4—794no—
2322C4⋊C4—794no—
2323C4⋊C4—794no—
2324C4⋊C4—794no—
2325C4⋊C4—794no—
2326C4⋊C4—794no—
2327C4⋊C4—794no—
2328C4⋊C4—794no—
2329C4⋊C4—794no—
2330C4⋊C4—794no—
2331C4⋊C4—792no—
2332C4⋊C4—792no—
2333C4⋊C4—792no—
2334C4⋊C4—792no—
2335C4⋊C4—792no—
2336C4⋊C4—792no—
2337C4⋊C4—792no—
2338C4⋊C4—792no—
2339C4⋊C4—792no—
2340C4⋊C4—791no—
2341C4⋊C4—792no—
2342C4⋊C4—792no—
2343C4⋊C4—791no—
2344C4⋊C4—791no—
2345C4⋊C4—794no—
2346C4⋊C4—792no—
2347C4⋊C4—792no—
2348C4⋊C4—792no—
2349C4⋊C4—794no—
2350C4⋊C4—794no—
2351C4⋊C4—794no—
2352C4⋊C4—794no—
2353C4⋊C4—794no—
2354C4⋊C4—791no—
2355C4⋊C4—792no—
2356C4⋊C4—792no—
2357C4⋊C4C23×D7911yescharacteristic
2358C4⋊C4C23×D7912yes—
2359C4⋊C4C23×D7912yes—
2360C4⋊C4C23×D7912yes—
2361C4⋊C4C23×D7914yes—
2362C4⋊C4C23×D7911yescharacteristic
2363C4⋊C4C23×D7912yes—
2364C4⋊C4C23×D7912yes—
2365C4⋊C4C23×D7914yes—
2366C4⋊C4C23×D7914yes—
2367C4⋊C4C23×D7911yescharacteristic
2368C4⋊C4C23×D7914yes—
2369C4⋊C4C23×D7914yes—
2370C4⋊C4C23×D7912yes—
2371C4⋊C4C23×D7914yes—
2372C4⋊C4C23×D7911yescharacteristic
2373C4⋊C4C23×D7912yes—
2374C4⋊C4C23×D7912yes—
2375C4⋊C4C23×D7912yes—
2376C22⋊C4—792no—
2377C22⋊C4—794no—
2378C22⋊C4—792no—
2379C22⋊C4—792no—
2380C22⋊C4—794no—
2381C22⋊C4—794no—
2382C22⋊C4—792no—
2383C22⋊C4—792no—
2384C22⋊C4—794no—
2385C22⋊C4—794no—
2386C22⋊C4—792no—
2387C22⋊C4—794no—
2388C22⋊C4—792no—
2389C22⋊C4—792no—
2390C22⋊C4—792no—
2391C22⋊C4—794no—
2392C22⋊C4—794no—
2393C22⋊C4—792no—
2394C22⋊C4—792no—
2395C22⋊C4—794no—
2396C22⋊C4—794no—
2397C22⋊C4—794no—
2398C22⋊C4—794no—
2399C22⋊C4—792no—
2400C22⋊C4—792no—
2401C22⋊C4—792no—
2402C22⋊C4—792no—
2403C22⋊C4—792no—
2404C22⋊C4—792no—
2405C22⋊C4—792no—
2406C22⋊C4—792no—
2407C22⋊C4—794no—
2408C22⋊C4—794no—
2409C22⋊C4—794no—
2410C22⋊C4—794no—
2411C22⋊C4—792no—
2412C22⋊C4—792no—
2413C22⋊C4—792no—
2414C22⋊C4—792no—
2415C22⋊C4—794no—
2416C22⋊C4—794no—
2417C22⋊C4—792no—
2418C22⋊C4—792no—
2419C22⋊C4C23×D7912yes—
2420C22⋊C4C23×D7914yes—
2421C22⋊C4C23×D7912yes—
2422C22⋊C4C23×D7912yes—
2423C22⋊C4C23×D7914yes—
2424C22⋊C4C23×D7914yes—
2425C22⋊C4C23×D7912yes—
2426C22⋊C4C23×D7912yes—
2427C22⋊C4C23×D7912yes—
2428C22⋊C4C23×D7914yes—
2429C22⋊C4C23×D7912yes—
2430C22⋊C4C23×D7912yes—
2431C22⋊C4C23×D7912yes—
2432C22⋊C4C23×D7914yes—
2433C22⋊C4C23×D7914yes—
2434C42—791no—
2435C42—791no—
2436C42—791no—
2437C42—791no—
2438C42—791no—
2439C42—791no—
2440C42—791no—
2441C42—791no—
2442C42—791no—
2443C42—791no—
2444C42—791no—
2445C42—791no—
2446C42—794no—
2447C42—792no—
2448C42—792no—
2449C42—792no—
2450C42—792no—
2451C42—792no—
2452C42—794no—
2453C42—794no—
2454C42—794no—
2455C42—794no—
2456C42—794no—
2457C42C23×D7911yescharacteristic
2458C42C23×D7911yescharacteristic
2459C42C23×D7911yescharacteristic
2460C42C23×D7911yescharacteristic
2461C42C23×D7914yes—
2462C42C23×D7912yes—
2463C42C23×D7914yes—
2464C23—24no—
2465C23—42no—
2466C23—42no—
2467C23—3161no—
2468C23—3162no—
2469C23—3162no—
2470C23—791no—
2471C23—792no—
2472C23—792no—
2473C23—791no—
2474C23—792no—
2475C23—1582no—
2476C23—1582no—
2477C23—1584no—
2478C23C24×D7912yes—
2479C23C24×D7912yes—
2480C23C24×D7912yes—
2481C23C24×D7911yescharacteristic
2482Q8—22no—
2483Q8—24no—
2484Q8—24no—
2485Q8—44no—
2486Q8—3164no—
2487Q8—3164no—
2488Q8—3164no—
2489Q8—3162no—
2490Q8—3162no—
2491Q8—3164no—
2492Q8—3162no—
2493Q8—1584no—
2494Q8—1584no—
2495Q8—1588no—
2496Q8—1584no—
2497Q8—1582no—
2498Q8—1584no—
2499Q8—1584no—
2500D4—24no—
2501D4—22no—
2502D4—22no—
2503D4—22no—
2504D4—42no—
2505D4—44no—
2506D4—44no—
2507D4—3162no—
2508D4—3162no—
2509D4—3162no—
2510D4—3164no—
2511D4—3162no—
2512D4—3164no—
2513D4—3162no—
2514D4—3162no—
2515D4—3162no—
2516D4—3162no—
2517D4—3162no—
2518D4—3164no—
2519D4—3164no—
2520D4—3162no—
2521D4—3164no—
2522D4—3164no—
2523D4—1584no—
2524D4—1584no—
2525D4—1584no—
2526D4—1584no—
2527D4—1584no—
2528D4—1584no—
2529D4—1584no—
2530D4—1584no—
2531D4—1584no—
2532D4—1584no—
2533D4—1584no—
2534D4—1584no—
2535D4—1584no—
2536D4—1584no—
2537D4—1582no—
2538D4—1582no—
2539D4—1582no—
2540C2×C4—22no—
2541C2×C4—22no—
2542C2×C4—24no—
2543C2×C4—24no—
2544C2×C4—22no—
2545C2×C4—24no—
2546C2×C4—42no—
2547C2×C4—42no—
2548C2×C4—42no—
2549C2×C4—44no—
2550C2×C4—44no—
2551C2×C4—44no—
2552C2×C4—3162no—
2553C2×C4—3162no—
2554C2×C4—3161no—
2555C2×C4—3161no—
2556C2×C4—3164no—
2557C2×C4—3164no—
2558C2×C4—3164no—
2559C2×C4—3164no—
2560C2×C4—3164no—
2561C2×C4—3164no—
2562C2×C4—3164no—
2563C2×C4—3162no—
2564C2×C4—3161no—
2565C2×C4—3164no—
2566C2×C4—3164no—
2567C2×C4—3164no—
2568C2×C4—794no—
2569C2×C4—791no—
2570C2×C4—791no—
2571C2×C4—791no—
2572C2×C4—794no—
2573C2×C4—792no—
2574C2×C4—791no—
2575C2×C4—794no—
2576C2×C4—791no—
2577C2×C4—791no—
2578C2×C4—792no—
2579C2×C4—792no—
2580C2×C4—794no—
2581C2×C4—792no—
2582C2×C4—792no—
2583C2×C4—1582no—
2584C2×C4—1582no—
2585C2×C4—1582no—
2586C2×C4—1582no—
2587C2×C4—1582no—
2588C2×C4—1584no—
2589C2×C4—1584no—
2590C2×C4—1582no—
2591C2×C4—1588no—
2592C2×C4—1582no—
2593C2×C4—1584no—
2594C2×C4—1584no—
2595C2×C4—1584no—
2596C2×C4—1584no—
2597C2×C4—1582no—
2598C2×C4—1582no—
2599C2×C4—1582no—
2600C2×C4—1584no—
2601C2×C4C24×D7911yescharacteristic
2602C2×C4C24×D7912yes—
2603C2×C4C24×D7911yescharacteristic
2604C2×C4C24×D7914yes—
2605C2×C4C24×D7911yescharacteristic
2606C2×C4C24×D7911yescharacteristic
2607C2×C4C24×D7912yes—
2608C2×C4C24×D7912yes—
2609C2×C4C24×D7912yes—
2610C2×C4C24×D7914yes—
2611C2×C4C24×D7912yes—
2612C2×C4C24×D7911yescharacteristic
2613C2×C4C24×D7911yescharacteristic
2614C22—21no—
2615C22—21no—
2616C22—22no—
2617C22—22no—
2618C22—22no—
2619C22—22no—
2620C22—22no—
2621C22—22no—
2622C22—22no—
2623C22—22no—
2624C22—22no—
2625C22—84no—
2626C22—3164no—
2627C22—792no—
2628C22—6324no—
2629C22—1582no—
2630C22—1582no—
2631C22—1582no—
2632C22—1581no—
2633C22—1581no—
2634C22—1582no—
2635C22—1582no—
2636C22—1582no—
2637C22—1582no—
2638C22—1582no—
2639C22—1581no—
2640C22—1582no—
2641C22—1581no—
2642C22—1581no—
2643C222−1+4×D7912yes—
2644C22C25×D7911yescharacteristic
2645C4—21no—
2646C4—22no—
2647C4—22no—
2648C4—24no—
2649C4—22no—
2650C4—21no—
2651C4—21no—
2652C4—22no—
2653C4—22no—
2654C4—21no—
2655C4—24no—
2656C4—792no—
2657C4—792no—
2658C4—792no—
2659C4—1584no—
2660C4—1582no—
2661C4—1582no—
2662C4—1582no—
2663C4—1581no—
2664C4—1582no—
2665C4—1582no—
2666C4—1584no—
2667C4—1581no—
2668C4—1581no—
2669C4H(5,𝔽2)×D7912yes—
2670C4#1909939912yes—
2671C2—22no—
2672C2—42no—
2673C2—42no—
2674C2—42no—
2675C2—3161no—
2676C2—3162no—
2677C2—3162no—
2678C2—3162no—
2679C2—1582no—
2680C2C2×H(5,𝔽2)×D7911yescharacteristic
2681C2C2×2−1+4×D7911yescharacteristic
2682C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3520C2
hypercenter#3520D79
hypocenterC79#62835
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3520

Complements

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

NH ≅ G/Ntype
1. #23777958C2semidirect
2. #23777926C2semidirect
3. #23777864C2semidirect
4. #23777813C2semidirect
5. #23777807C2semidirect
6. #23777797C2semidirect
7. #23777797C2semidirect
8. #23777788C2semidirect
9. #23777781C2semidirect
10. #23777628C2semidirect
11. #23777620C2semidirect
12. #23777481C2semidirect
13. #23777479C2semidirect
14. #23777451C2semidirect
15. #23777449C2semidirect
16. #23777444C2semidirect
17. #23777310C2semidirect
18. #23777305C2semidirect
19. #23777304C2semidirect
20. #23777303C2semidirect
21. #23777268C2semidirect
22. #23777259C2semidirect
23. #23777243C2semidirect
24. #23777214C2semidirect
25. #23777196C2semidirect
26. #23777184C2semidirect
27. #23777179C2semidirect
28. #23777168C2semidirect
29. #23777126C2semidirect
30. #23777076C2semidirect
31. #23777072C2semidirect
32. #23776694C2semidirect
33. #533×D79C2semidirect
34. C2×#19099110C2semidirect
35. C79×#3520C2semidirect
36. C2×#14579209C22semidirect
37. C2×#14579208C22semidirect
39. #19099315C22semidirect
40. #19099314C22semidirect
41. #19099311C22semidirect
42. #19099310C22semidirect
43. #19099310C22semidirect
44. #19099310C22semidirect
45. #19099309C22semidirect
46. #19099308C22semidirect
47. #19099297C22semidirect
48. #19099297C22semidirect
49. #19099296C22semidirect
50. #19099296C22semidirect
51. #19099295C22semidirect
52. Q8×Dic158C22semidirect
53. #19099293C22semidirect
54. #19099290C22semidirect
55. #19099287C22semidirect
56. #19099286C22semidirect
57. #19099284C22semidirect
58. #19099283C22semidirect
59. #19099281C22semidirect
60. #19099281C22semidirect
61. #19099280C22semidirect
62. #19099277C22semidirect
63. #19099276C22semidirect
64. #19099276C22semidirect
65. #19099275C22semidirect
67. #19099271C22semidirect
68. #19099271C22semidirect
69. #19099271C22semidirect
72. #19099268C22semidirect
73. #19099268C22semidirect
74. #19099268C22semidirect
75. #19099268C22semidirect
76. #19099268C22semidirect
77. #19099267C22semidirect
78. #19099267C22semidirect
79. #19099264C22semidirect
80. #19099264C22semidirect
81. #19099262C22semidirect
82. #19099262C22semidirect
83. #19099258C22semidirect
84. #19099258C22semidirect
85. #19099254C22semidirect
86. #19099253C22semidirect
87. #19099251C22semidirect
91. #19099232C22semidirect
92. #19099232C22semidirect
93. #19099231C22semidirect
94. #19099231C22semidirect
95. #19099231C22semidirect
96. Q8×D316C22semidirect
98. D4×Dic158C22semidirect
99. #19099228C22semidirect
100. Q8×C22⋊D79C22semidirect
101. Q8×C22⋊D79C22semidirect
103. #19099226C22semidirect
104. #19099226C22semidirect
105. #19099226C22semidirect
106. #19099225C22semidirect
107. #19099225C22semidirect
108. #19099223C22semidirect
109. #19099223C22semidirect
110. #19099222C22semidirect
111. #19099222C22semidirect
112. #19099222C22semidirect
113. #19099221C22semidirect
114. #19099221C22semidirect
115. #19099221C22semidirect
116. #19099220C22semidirect
117. #19099218C22semidirect
118. #19099218C22semidirect
119. #19099218C22semidirect
120. #19099218C22semidirect
121. #19099217C22semidirect
122. #19099217C22semidirect
123. #19099216C22semidirect
124. #19099216C22semidirect
125. #19099216C22semidirect
126. #19099215C22semidirect
127. #19099215C22semidirect
128. #19099215C22semidirect
129. #19099214C22semidirect
130. #19099214C22semidirect
131. #19099214C22semidirect
132. #19099213C22semidirect
133. #19099212C22semidirect
134. #19099211C22semidirect
135. #19099211C22semidirect
136. #19099211C22semidirect
146. #19099193C22semidirect
148. #19099192C22semidirect
151. #19099187C22semidirect
152. #19099185C22semidirect
153. #19099185C22semidirect
154. #19099184C22semidirect
155. #19099184C22semidirect
156. #19099183C22semidirect
157. #19099182C22semidirect
158. #19099181C22semidirect
159. #19099179C22semidirect
160. #19099179C22semidirect
161. #19099179C22semidirect
162. #19099178C22semidirect
163. #19099178C22semidirect
164. #19099178C22semidirect
165. #19099177C22semidirect
166. #19099165C22semidirect
167. #19099165C22semidirect
168. #19099165C22semidirect
169. #19099163C22semidirect
170. #19099161C22semidirect
171. #19099161C22semidirect
172. #19099156C22semidirect
173. #19099155C22semidirect
174. #19099154C22semidirect
177. #19099144C22semidirect
178. #19099144C22semidirect
179. #19099143C22semidirect
180. #19099143C22semidirect
181. #19099143C22semidirect
182. #19099143C22semidirect
183. #19099142C22semidirect
184. #19099142C22semidirect
185. #19099142C22semidirect
186. #19099142C22semidirect
187. #19099141C22semidirect
188. #19099141C22semidirect
189. #19099139C22semidirect
190. #19099137C22semidirect
191. #19099136C22semidirect
192. #19099136C22semidirect
193. #19099136C22semidirect
194. #19099136C22semidirect
195. #19099136C22semidirect
196. #19099135C22semidirect
199. #19099119C22semidirect
200. #19099119C22semidirect
201. #19099118C22semidirect
202. #19099118C22semidirect
203. #19099117C22semidirect
204. #19099117C22semidirect
205. #19099117C22semidirect
206. #19099117C22semidirect
211. #19099115C22semidirect
212. #19099112C22semidirect
213. #19099112C22semidirect
214. #19099112C22semidirect
227. #19099110C22semidirect
228. #19099110C22semidirect
229. #19099110C22semidirect
230. #19099109C22semidirect
232. #19099108C22semidirect
234. C2×#14579160C22semidirect
235. C4⋊Q8×D79C22semidirect
236. C4⋊Q8×D79C22semidirect
237. C4⋊Q8×D79C22semidirect
239. #19099098C22semidirect
241. #19099096C22semidirect
242. #19099096C22semidirect
243. #19099096C22semidirect
244. #19099092C22semidirect
245. #19099091C22semidirect
246. #19099091C22semidirect
248. #125×D79C22semidirect
265. #19099045C22semidirect
266. #19099044C22semidirect
267. #19099043C22semidirect
268. #19099043C22semidirect
270. #19099042C22semidirect
272. C4×#11929625C22semidirect
273. #19099031C22semidirect
275. C4×#11929623C22semidirect
276. C4×Q8×D79C22semidirect
277. C4×Q8×D79C22semidirect
282. #556×C79C22semidirect
284. #552×C79C22semidirect
286. D4×Q8×C79C22semidirect
287. #548×C79C22semidirect
288. #547×C79C22semidirect
289. #547×C79C22semidirect
291. #542×C79C22semidirect
292. #539×C79C22semidirect
297. #520×C79C22semidirect
1205. C2×Dic792−1+4semidirect
1358. #3520D79semidirect
1377. C79#62835semidirect
1404. #556C2×D79semidirect
1432. #552C2×D79semidirect
1452. D4×Q8C2×D79semidirect
1464. #548C2×D79semidirect
1485. #547C2×D79semidirect
1486. #547C2×D79semidirect
1517. #542C2×D79semidirect
1527. #539C2×D79semidirect
1628. #520C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779582
#237779262
#237778642
#237778132
#237778072
#237777972
#237777882
#237777812
#237776282
#237776202
#237774812
#237774792
#237774512
#237774492
#237774442
#237773102
#237773052
#237773042
#237773032
#237772682
#237772592
#237772432
#237772142
#237771962
#237771842
#237771792
#237771682
#237771262
#237770762
#237770722
#237766942
#533×D792
C2×#190991102
C79×#35202
#6283579