Finite Group Databasebeta

← #35201958

Subgroups — #35201958

Order 20224.

6492 conjugacy classes of subgroups.

The subgroup lattice has 2260 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778088C212yesmaximal, complemented
2#23778066C214yesmaximal, complemented
3#23778019C214yesmaximal, complemented
4#23778010C211yesmaximal, characteristic, complemented
5#23777995C214yesmaximal, complemented
6#23777965C212yesmaximal, complemented
7#23777955C214yesmaximal, complemented
8#23777931C211yesmaximal, characteristic, complemented
9#23777836C212yesmaximal, complemented
10#23777816C212yesmaximal, complemented
11#23777815C214yesmaximal, complemented
12#23777800C211yesmaximal, characteristic, complemented
13#23777782C214yesmaximal, complemented
14#23777752C212yesmaximal, complemented
15#23777745C212yesmaximal, complemented
16#23777712C212yesmaximal, complemented
17#23777698C212yesmaximal, complemented
18#23777616C212yesmaximal, complemented
19#23777547C212yesmaximal, complemented
20#23777539C211yesmaximal, characteristic, complemented
21#23777511C212yesmaximal, complemented
22#23777467C212yesmaximal, complemented
23#23777361C211yesmaximal, characteristic, complemented
24#23777322C211yesmaximal, characteristic, complemented
25#23777304C212yesmaximal, complemented
26#23777142C212yesmaximal, complemented
27#23777134C212yesmaximal, complemented
28#23777114C212yesmaximal, complemented
29C79×#3518C211yesmaximal, characteristic, complemented
30C79⋊#564C2212yescomplemented
31#19099317C2212yes—
32#19099317C2211yescharacteristic, complemented
33#19099317C2212yescomplemented
34#19099315C2212yescomplemented
35#19099314C2214yescomplemented
36#19099314C2214yescomplemented
37#19099313C2214yescomplemented
38#19099312C2214yescomplemented
39#19099312C2214yescomplemented
40#19099312C2214yescomplemented
41#19099311C2211yescharacteristic
42#19099311C2212yescomplemented
43#19099311C2212yescomplemented
44#19099310C2212yescomplemented
45#19099309C2212yescomplemented
46#19099309C2214yescomplemented
47#19099309C2214yescomplemented
48#19099309C2214yescomplemented
49#19099307C2211yescharacteristic, complemented
50#19099307C2214yescomplemented
51#19099307C2212yescomplemented
52#19099305C2211yescharacteristic
53#19099304C2214yes—
54#19099304C2212yescomplemented
55#19099303C2212yes—
56#19099301C2212yescomplemented
57#19099301C2214yescomplemented
58#19099298C2214yescomplemented
59#19099298C2211yescharacteristic, complemented
60#19099289C2212yescomplemented
61#19099286C2211yescharacteristic
62#19099286C2212yescomplemented
63#19099285C2214yescomplemented
64#19099284C2212yescomplemented
65#19099279C2212yes—
66#19099276C2212yescomplemented
67#19099276C2212yescomplemented
68#19099276C2214yescomplemented
69#19099275C2214yescomplemented
70#19099275C2214yescomplemented
71#19099273C2212yescomplemented
72#19099273C2212yescomplemented
73#19099273C2212yescomplemented
74#19099273C2212yescomplemented
75#19099271C2212yescomplemented
76#19099271C2212yescomplemented
77#19099267C2214yescomplemented
78#19099264C2214yescomplemented
79#19099264C2214yescomplemented
80#19099264C2214yescomplemented
81#19099264C2214yescomplemented
82#19099263C2212yescomplemented
83#19099263C2212yescomplemented
84#19099262C2214yescomplemented
85#19099262C2214yescomplemented
86#19099262C2214yescomplemented
87#19099260C2212yescomplemented
88#19099259C2212yescomplemented
89#19099259C2212yescomplemented
90#19099257C2214yescomplemented
91#19099257C2212yescomplemented
92#19099255C2212yescomplemented
93#19099254C2212yes—
94#19099254C2214yescomplemented
95#19099254C2214yescomplemented
96#19099254C2212yescomplemented
97#19099254C2212yescomplemented
98#19099254C2212yescomplemented
99#19099254C2212yescomplemented
100#19099249C2214yescomplemented
101#19099249C2214yescomplemented
102#19099246C2214yescomplemented
103#19099246C2214yescomplemented
104#19099246C2214yescomplemented
105#19099243C2214yescomplemented
106#19099242C2214yescomplemented
107#19099240C2214yescomplemented
108#19099238C2214yescomplemented
109#19099237C2214yes—
110#19099237C2214yescomplemented
111#19099237C2214yescomplemented
112#19099237C2214yescomplemented
113#19099237C2214yescomplemented
114#19099235C2212yescomplemented
115#19099235C2212yescomplemented
116D4×Dic158C2211yescharacteristic, complemented
117#19099226C2214yescomplemented
118#19099225C2214yescomplemented
119#19099224C2212yescomplemented
120#19099224C2212yescomplemented
121#19099222C2212yescomplemented
122#19099221C2214yescomplemented
123#19099221C2214yescomplemented
124#19099217C2212yescomplemented
125#19099216C2212yescomplemented
126#19099216C2212yescomplemented
127#19099216C2212yescomplemented
128#19099216C2214yescomplemented
129#19099213C2212yes—
130#19099211C2214yescomplemented
131#19099209C2212yes—
132#19099208C2214yescomplemented
133#19099206C2212yes—
134#19099206C2212yescomplemented
135#19099206C2214yescomplemented
136#19099204C2214yes—
137#19099202C2214yescomplemented
138#19099202C2214yescomplemented
139#19099201C2212yescomplemented
140D4×D316C2211yescharacteristic
141#19099192C2212yescomplemented
142#19099191C2212yescomplemented
143#19099190C2212yescomplemented
144#19099190C2212yescomplemented
145#19099190C2214yescomplemented
146#19099188C2214yescomplemented
147#19099187C2214yescomplemented
148#19099185C2214yes—
149#19099185C2214yescomplemented
150#19099185C2212yescomplemented
151#19099185C2212yescomplemented
152#19099185C2214yescomplemented
153#19099182C2212yescomplemented
154#19099179C2214yescomplemented
155#19099179C2214yescomplemented
156#19099177C2214yescomplemented
157#19099175C2212yescomplemented
158#19099174C2212yescomplemented
159#19099171C2214yescomplemented
160#19099171C2214yescomplemented
161#19099170C2214yescomplemented
162#19099168C2214yescomplemented
163#19099168C2214yescomplemented
164#19099168C2212yescomplemented
165#19099168C2212yescomplemented
166#19099165C2214yescomplemented
167#19099164C2214yescomplemented
168#19099163C2214yescomplemented
169#19099163C2214yescomplemented
170#19099162C2212yes—
171#19099162C2212yescomplemented
172#19099159C2214yescomplemented
173#19099159C2214yescomplemented
174#19099156C2214yescomplemented
175#19099155C2214yescomplemented
176#19099154C2214yescomplemented
177#19099154C2214yescomplemented
178#19099153C2214yescomplemented
179#19099153C2214yescomplemented
180#19099152C2214yescomplemented
181#19099152C2214yescomplemented
182#19099147C2214yes—
183#19099147C2214yescomplemented
184#19099147C2214yescomplemented
185#19099147C2214yescomplemented
186#19099146C2214yescomplemented
187#19099146C2214yescomplemented
188#19099143C2212yes—
189#19099143C2212yescomplemented
190#19099143C2212yescomplemented
191#19099143C2214yescomplemented
192#19099141C2211yescharacteristic
193#19099141C2211yescharacteristic, complemented
194#19099140C2212yescomplemented
195#19099140C2214yescomplemented
196#19099138C2214yescomplemented
197#19099138C2214yescomplemented
198#19099137C2212yescomplemented
199#19099135C2214yescomplemented
200#19099131C2214yescomplemented
201#19099129C2212yes—
202#19099124C2214yes—
203#19099117C2214yescomplemented
204#19099117C2214yescomplemented
205#19099113C2211yescharacteristic, complemented
206#19099113C2211yescharacteristic, complemented
207#19099112C2214yescomplemented
208#19099112C2214yescomplemented
209#19099110C2212yescomplemented
210C4⋊Q8×D79C2212yescomplemented
211#19099100C2212yescomplemented
212#19099100C2214yescomplemented
213#19099100C2214yescomplemented
214#19099100C2214yescomplemented
215#19099100C2212yescomplemented
216#19099097C2211yescharacteristic
217#19099097C2212yescomplemented
218#19099097C2212yescomplemented
219#19099097C2212yescomplemented
220#19099096C2214yescomplemented
221#19099092C2212yescomplemented
222#19099091C2212yescomplemented
223#19099091C2214yescomplemented
224#19099091C2214yescomplemented
225#19099091C2214yescomplemented
226#126×D79C2214yescomplemented
227C2×#14579153C2211yescharacteristic, complemented
228C2×#14579149C2212yes—
229#19099076C2212yescomplemented
230#19099075C2212yes—
231#19099072C2212yescomplemented
232#19099072C2212yescomplemented
233C2×#14579137C2212yescomplemented
234#121×D79C2212yescomplemented
235#19099045C2212yescomplemented
236#19099043C2211yescharacteristic, complemented
237#19099043C2212yescomplemented
238#19099043C2211yescharacteristic, complemented
239#19099035C2212yescomplemented
240C4×#11929625C2212yescomplemented
241#117×D79C2212yescomplemented
242Q82×C79C2211yescharacteristic, complemented
243#556×C79C2212yescomplemented
244#556×C79C2212yescomplemented
245#556×C79C2211yescharacteristic, complemented
246#556×C79C2214yescomplemented
247#555×C79C2211yescharacteristic
248#555×C79C2212yescomplemented
249D4×Q8×C79C2211yescharacteristic, complemented
250#548×C79C2212yescomplemented
251#542×C79C2212yescomplemented
252#542×C79C2214yescomplemented
253#533×C79C2211yescharacteristic, complemented
254#533×C79C2212yescomplemented
255#529×C79C2211yescharacteristic, complemented
256#529×C79C2212yescomplemented
257#519×C79C2212yescomplemented
258C4×#41×C79C2211yescharacteristic, complemented
259C2×#11929625C2312yes—
260C2×#11929625C2312yes—
261C2×#11929625C2314yes—
262C2×#11929625C2314yes—
263C2×#11929624C2312yes—
264C2×#11929624C2311yescharacteristic
265C2×#11929624C2311yescharacteristic
266C2×#11929624C2312yes—
267C2×#11929623C2314yes—
268C2×#11929623C2314yes—
269C22×Dic158C2312yes—
270C2×Q8×D79C2314yes—
271C22×D316C2312yes—
272C2×D4×D79C2312yes—
273C2×D4×D79C2314yes—
274C22×C4×D79C2312yes—
275#14579161C2311yescharacteristic
276#14579161C2312yes—
277#14579161C2311yescharacteristic
278#14579160C2314yes—
279#14579160C2314yes—
280#14579160C2312yes—
281#14579160C2312yes—
282#14579160C2314yes—
283#14579160C2312yes—
284#14579159C2314yes—
285#14579159C2314yes—
286#14579159C2314yes—
287#14579159C2314yes—
288#14579158C2311yescharacteristic
289#14579158C2314yes—
290#14579158C2311yescharacteristic
291#14579157C2314yes—
292#14579157C2312yes—
293#14579156C2314yes—
294#14579156C2314yes—
295#14579156C2314yes—
296#14579156C2314yes—
297#14579156C2314yes—
298#14579156C2314yes—
299#14579156C2314yes—
300#14579156C2314yes—
301#14579156C2314yes—
302#14579156C2314yes—
303#14579156C2312yes—
304#14579156C2312yes—
305#14579156C2312yes—
306#14579155C2314yes—
307#14579155C2314yes—
308#14579155C2314yes—
309#14579155C2314yes—
310#14579155C2314yes—
311#14579155C2314yes—
312#14579155C2312yes—
313#14579155C2314yes—
314#14579155C2314yes—
315#14579154C2314yes—
316#14579154C2314yes—
317#14579154C2314yes—
318#14579154C2314yes—
319#14579154C2314yes—
320#14579154C2312yes—
321#14579154C2314yes—
322#14579153C2312yes—
323#14579153C2314yes—
324#14579153C2314yes—
325#14579153C2314yes—
326#14579153C2312yes—
327#14579153C2312yes—
328#14579153C2312yes—
329#14579153C2312yes—
330#14579153C2311yescharacteristic
331#14579152C2314yes—
332#14579152C2314yes—
333#14579152C2314yes—
334#14579152C2312yes—
335#14579152C2312yes—
336#14579151C2314yes—
337#14579151C2314yes—
338#14579151C2314yes—
339#14579151C2314yes—
340#14579151C2314yes—
341#14579151C2314yes—
342#14579151C2314yes—
343#14579151C2314yes—
344#14579151C2314yes—
345#14579151C2312yes—
346#14579151C2314yes—
347#14579151C2314yes—
348#14579150C2314yes—
349#14579150C2314yes—
350#14579150C2314yes—
351#14579150C2314yes—
352#14579150C2314yes—
353#14579150C2312yes—
354#14579150C2312yes—
355#14579149C2314yes—
356#14579149C2314yes—
357#14579149C2314yes—
358#14579149C2314yes—
359#14579149C2314yes—
360#14579149C2312yes—
361#14579149C2312yes—
362#14579149C2311yescharacteristic
363#14579149C2311yescharacteristic
364#14579149C2311yescharacteristic
365#14579149C2312yes—
366#14579147C2314yes—
367#14579147C2314yes—
368#14579147C2314yes—
369#14579147C2314yes—
370#14579147C2314yes—
371#14579147C2312yes—
372#14579147C2312yes—
373#14579147C2312yes—
374#14579146C2314yes—
375#14579146C2312yes—
376#14579146C2312yes—
377#14579146C2314yes—
378#14579146C2314yes—
379#14579146C2314yes—
380#14579146C2314yes—
381#14579146C2314yes—
382#14579146C2314yes—
383#14579146C2314yes—
384#14579146C2314yes—
385#14579146C2312yes—
386#14579146C2314yes—
387#14579146C2314yes—
388#14579146C2314yes—
389#14579146C2314yes—
390#14579146C2314yes—
391#14579146C2314yes—
392#14579146C2314yes—
393#14579146C2314yes—
394#14579146C2312yes—
395#14579146C2314yes—
396#14579146C2312yes—
397#14579145C2312yes—
398#14579145C2314yes—
399#14579145C2314yes—
400#14579145C2314yes—
401#14579145C2314yes—
402#14579145C2312yes—
403#14579144C2314yes—
404#14579144C2314yes—
405#14579144C2312yes—
406#14579144C2314yes—
407#14579144C2314yes—
408#14579144C2314yes—
409#14579143C2314yes—
410#14579143C2314yes—
411#14579143C2314yes—
412#14579143C2314yes—
413#14579143C2314yes—
414#14579143C2314yes—
415#14579143C2314yes—
416#14579143C2312yes—
417#14579143C2312yes—
418#14579143C2312yes—
419#14579142C2314yes—
420#14579142C2314yes—
421#14579141C2314yes—
422#14579141C2314yes—
423#14579141C2312yes—
424#14579141C2314yes—
425#14579141C2312yes—
426#14579140C2312yes—
427#14579140C2312yes—
428#14579140C2312yes—
429#14579140C2311yescharacteristic
430#14579139C2314yes—
431#14579139C2314yes—
432#14579139C2314yes—
433#14579139C2314yes—
434#14579139C2314yes—
435#14579139C2314yes—
436#14579139C2314yes—
437#14579139C2314yes—
438#14579139C2314yes—
439#14579139C2314yes—
440#14579139C2314yes—
441#14579139C2314yes—
442#14579139C2314yes—
443#14579139C2312yes—
444#14579139C2312yes—
445#14579139C2312yes—
446#14579138C2314yes—
447#14579138C2314yes—
448#14579138C2314yes—
449#14579138C2314yes—
450#14579138C2314yes—
451#14579138C2312yes—
452#14579138C2314yes—
453#14579138C2314yes—
454#14579138C2312yes—
455#14579137C2312yes—
456#14579137C2312yes—
457#14579137C2312yes—
458#14579137C2312yes—
459#14579137C2312yes—
460#14579137C2312yes—
461#14579137C2314yes—
462#14579137C2312yes—
463#14579137C2314yes—
464#14579137C2314yes—
465#14579137C2314yes—
466#14579137C2314yes—
467#14579137C2312yes—
468#14579137C2314yes—
469#14579137C2314yes—
470#14579137C2314yes—
471#14579137C2314yes—
472#14579136C2314yes—
473#14579136C2312yes—
474#14579136C2314yes—
475#14579136C2314yes—
476#14579136C2314yes—
477#14579136C2314yes—
478#14579136C2312yes—
479#14579136C2312yes—
480#14579136C2314yes—
481#14579136C2312yes—
482#14579136C2314yes—
483#14579136C2312yes—
484#14579136C2312yes—
485#14579136C2312yes—
486#14579135C2312yes—
487#14579135C2314yes—
488#14579135C2312yes—
489#14579135C2312yes—
490#14579135C2312yes—
491#14579135C2312yes—
492#14579135C2312yes—
493#14579135C2314yes—
494#14579135C2311yescharacteristic
495#14579135C2312yes—
496#14579135C2312yes—
497#14579135C2312yes—
498#14579134C2314yes—
499#14579134C2314yes—
500#14579134C2314yes—
501#14579134C2314yes—
502#14579134C2314yes—
503#14579134C2314yes—
504#14579134C2314yes—
505#14579134C2314yes—
506#14579134C2314yes—
507#14579134C2312yes—
508#14579134C2312yes—
509#14579134C2314yes—
510#14579134C2314yes—
511#14579134C2314yes—
512#14579134C2314yes—
513#14579134C2314yes—
514#14579134C2312yes—
515#14579134C2314yes—
516#14579134C2312yes—
517#14579134C2314yes—
518#14579134C2312yes—
519#14579133C2312yes—
520#14579133C2314yes—
521#14579133C2314yes—
522#14579133C2314yes—
523#14579133C2314yes—
524#14579133C2314yes—
525#14579133C2314yes—
526#14579133C2312yes—
527#14579132C2312yes—
528#14579132C2312yes—
529#14579132C2314yes—
530#14579132C2312yes—
531#14579131C2314yes—
532#14579131C2314yes—
533#14579131C2314yes—
534#14579131C2314yes—
535#14579131C2312yes—
536#14579131C2314yes—
537#14579131C2312yes—
538#14579131C2312yes—
539#14579131C2312yes—
540#14579129C2312yes—
541#14579129C2314yes—
542#14579129C2314yes—
543#14579129C2312yes—
544Q8×Dic79C2312yes—
545Q8×Dic79C2312yes—
546C4×Dic158C2314yes—
547C4×Dic158C2314yes—
548C4×Dic158C2312yes—
549C4×Dic158C2312yes—
550C4×Dic158C2314yes—
551C4×Dic158C2312yes—
552C4×Dic158C2311yescharacteristic
553#14579126C2314yes—
554C4×D316C2314yes—
555C4×D316C2314yes—
556C4×D316C2314yes—
557C4×D316C2314yes—
558C4×D316C2312yes—
559C4×D316C2312yes—
560C4×D316C2314yes—
561C4×D316C2312yes—
562C4×D316C2314yes—
563C4×D316C2312yes—
564C4×D316C2312yes—
565C4×D316C2314yes—
566C4×D316C2312yes—
567C4×D316C2311yescharacteristic
568C4×D316C2312yes—
569C4×D316C2312yes—
570C4×D316C2314yes—
571C4×D316C2312yes—
572C4×D316C2312yes—
573C4×D316C2312yes—
574D4×Dic79C2312yes—
575#14579123C2314yes—
576#14579123C2314yes—
577#14579123C2314yes—
578#14579123C2312yes—
579C4×C22⋊D79C2314yes—
580C4×C22⋊D79C2314yes—
581C4×C22⋊D79C2314yes—
582C4×C22⋊D79C2314yes—
583C4×C22⋊D79C2312yes—
584C4×C22⋊D79C2314yes—
585C4×C22⋊D79C2312yes—
586C4×C22⋊D79C2312yes—
587(C22⋊D79)⋊C4C2314yes—
588(C22⋊D79)⋊C4C2314yes—
589(C22⋊D79)⋊C4C2314yes—
590(C22⋊D79)⋊C4C2314yes—
591(C22⋊D79)⋊C4C2314yes—
592(C22⋊D79)⋊C4C2314yes—
593(C22⋊D79)⋊C4C2314yes—
594(C22⋊D79)⋊C4C2314yes—
595(C22⋊D79)⋊C4C2314yes—
596(C22⋊D79)⋊C4C2314yes—
597(C22⋊D79)⋊C4C2314yes—
598(C22⋊D79)⋊C4C2314yes—
599#14579120C2312yes—
600#14579119C2314yes—
601#14579119C2314yes—
602#14579119C2312yes—
603#14579119C2312yes—
604#14579119C2312yes—
605#14579119C2312yes—
606#14579118C2314yes—
607#14579118C2314yes—
608#14579118C2314yes—
609#14579118C2314yes—
610#14579118C2312yes—
611#14579118C2312yes—
612#14579118C2314yes—
613#14579118C2314yes—
614#14579118C2314yes—
615#14579118C2314yes—
616#14579118C2314yes—
617#14579118C2314yes—
618#14579117C2314yes—
619#14579117C2314yes—
620#14579117C2314yes—
621C2×C4⋊Dic79C2311yescharacteristic
622C2×C4⋊Dic79C2311yescharacteristic
623C2×C4⋊Dic79C2312yes—
624C2×Dic79⋊C4C2314yes—
625C2×Dic79⋊C4C2312yes—
626C2×Dic79⋊C4C2312yes—
627C4⋊C4×D79C2312yes—
628C4⋊C4×D79C2314yes—
629C4⋊C4×D79C2312yes—
630C4⋊C4×D79C2312yes—
631C4⋊C4×D79C2314yes—
632C4⋊C4×D79C2314yes—
633C4⋊C4×D79C2314yes—
634C4⋊C4×D79C2312yes—
635C4⋊C4×D79C2312yes—
636C2×(C2×D79)⋊C4C2314yes—
637C2×(C2×D79)⋊C4C2314yes—
638C2×(C2×D79)⋊C4C2314yes—
639C22⋊C4×D79C2314yes—
640C22⋊C4×D79C2314yes—
641C22⋊C4×D79C2314yes—
642C22⋊C4×D79C2314yes—
643C22⋊C4×D79C2314yes—
644C42×D79C2314yes—
645C42×D79C2314yes—
646C42×D79C2312yes—
647C2×#41×C79C2311yescharacteristic
648C22×Q8×C79C2312yes—
649C4⋊Q8×C79C2312yes—
650C4⋊Q8×C79C2314yes—
651C4⋊Q8×C79C2311yescharacteristic
652C4⋊Q8×C79C2312yes—
653C4⋊Q8×C79C2311yescharacteristic
654C4⋊Q8×C79C2312yes—
655#126×C79C2314yes—
656#126×C79C2314yes—
657#126×C79C2312yes—
658#126×C79C2314yes—
659#126×C79C2314yes—
660#125×C79C2311yescharacteristic
661#125×C79C2312yes—
662#124×C79C2314yes—
663#124×C79C2314yes—
664#124×C79C2314yes—
665#124×C79C2314yes—
666#124×C79C2312yes—
667#124×C79C2311yescharacteristic
668#123×C79C2314yes—
669#123×C79C2312yes—
670C22⋊Q8×C79C2312yes—
671C22⋊Q8×C79C2312yes—
672C22⋊Q8×C79C2312yes—
673C22⋊Q8×C79C2314yes—
674C22⋊Q8×C79C2314yes—
675C22⋊Q8×C79C2312yes—
676C22⋊Q8×C79C2311yescharacteristic
677C22⋊Q8×C79C2314yes—
678#121×C79C2311yescharacteristic
679#121×C79C2314yes—
680#121×C79C2312yes—
681#121×C79C2312yes—
682C4×Q8×C79C2312yes—
683C4×Q8×C79C2314yes—
684C4×Q8×C79C2314yes—
685C4×Q8×C79C2311yescharacteristic
686C4×Q8×C79C2312yes—
687C4×Q8×C79C2312yes—
688C4×Q8×C79C2314yes—
689C4×Q8×C79C2312yes—
690C4×Q8×C79C2311yescharacteristic
691C4×Q8×C79C2312yes—
692C4×Q8×C79C2311yescharacteristic
693C4×D4×C79C2312yes—
694C4×D4×C79C2312yes—
695C4×D4×C79C2314yes—
696C4×D4×C79C2311yescharacteristic
697C4×D4×C79C2312yes—
698C4×D4×C79C2312yes—
699C4×D4×C79C2311yescharacteristic
700C4×D4×C79C2311yescharacteristic
701#117×C79C2312yes—
702#117×C79C2312yes—
703#117×C79C2312yes—
704#117×C79C2314yes—
705#117×C79C2311yescharacteristic
706#117×C79C2314yes—
707#117×C79C2312yes—
708#117×C79C2312yes—
709#117×C79C2312yes—
710C2×C42×C79C2312yes—
711C2×C42×C79C2311yescharacteristic
712C23×D79C2414yes—
713C23×D79C2412yes—
714#11929625—44no—
715#11929625—44no—
716#11929625—84no—
717#11929625—84no—
718#11929624—44no—
719#11929624—42no—
720#11929624—42no—
721#11929624—82no—
722#11929623—84no—
723#11929623—84no—
724C2×Dic158—82no—
725C2×Dic158C2414yes—
726C2×Dic158C2414yes—
727C2×Dic158C2414yes—
728C2×Dic158C2411yescharacteristic
729C2×Dic158C2412yes—
730C2×Dic158C2411yescharacteristic
731C2×Dic158C2412yes—
732C2×Dic158C2411yescharacteristic
733Q8×D79—84no—
734C2×D316—82no—
735C2×D316C2412yes—
736C2×D316C2412yes—
737C2×D316C2411yescharacteristic
738C2×D316C2411yescharacteristic
739C2×D316C2412yes—
740C2×D316C2412yes—
741C2×D316C2412yes—
742C2×D316C2414yes—
743C2×D316C2414yes—
744C2×D316C2414yes—
745C2×D316C2414yes—
746C2×D316C2414yes—
747C2×D316C2412yes—
748C2×D316C2412yes—
749C2×D316C2412yes—
750C2×D316C2411yescharacteristic
751C2×C22⋊D79C2412yes—
752C2×C22⋊D79C2414yes—
753C2×C22⋊D79C2414yes—
754C2×C22⋊D79C2414yes—
755C2×C22⋊D79C2412yes—
756C2×C22⋊D79C2412yes—
757C2×C22⋊D79C2412yes—
758C2×C22⋊D79C2412yes—
759C2×C22⋊D79C2412yes—
760C2×C22⋊D79C2414yes—
761C2×C22⋊D79C2414yes—
762C2×C22⋊D79C2412yes—
763C2×C22⋊D79C2414yes—
764D4×D79—44no—
765D4×D79—84no—
766C22×Dic79C2414yes—
767C22×Dic79C2414yes—
768C22×Dic79C2412yes—
769C22×Dic79C2412yes—
770C22×Dic79C2412yes—
771C2×C4×D79—44no—
772C2×C4×D79C2412yes—
773C2×C4×D79C2412yes—
774C2×C4×D79C2412yes—
775C2×C4×D79C2412yes—
776C2×C4×D79C2414yes—
777C2×C4×D79C2414yes—
778C2×C4×D79C2414yes—
779C2×C4×D79C2414yes—
780C2×C4×D79C2414yes—
781C2×C4×D79C2414yes—
782C2×C4×D79C2414yes—
783C2×C4×D79C2414yes—
784C2×C4×D79C2412yes—
785C2×C4×D79C2414yes—
786C2×C4×D79C2414yes—
787C2×C4×D79C2412yes—
788C2×C4×D79C2412yes—
789C2×C4×D79C2414yes—
790C4⋊Dic79C2412yes—
791C4⋊Dic79C2412yes—
792C4⋊Dic79C2412yes—
793C4⋊Dic79C2414yes—
794C4⋊Dic79C2412yes—
795C4⋊Dic79C2414yes—
796C4⋊Dic79C2412yes—
797C4⋊Dic79C2412yes—
798C4⋊Dic79C2414yes—
799C4⋊Dic79C2412yes—
800C4⋊Dic79C2414yes—
801C4⋊Dic79C2412yes—
802C4⋊Dic79C2412yes—
803C4⋊Dic79C2414yes—
804C4⋊Dic79C2411yescharacteristic
805C4⋊Dic79C2412yes—
806C4⋊Dic79C2411yescharacteristic
807Dic79⋊C4C2414yes—
808Dic79⋊C4C2412yes—
809Dic79⋊C4C2414yes—
810Dic79⋊C4C2414yes—
811Dic79⋊C4C2414yes—
812Dic79⋊C4C2414yes—
813Dic79⋊C4C2414yes—
814Dic79⋊C4C2414yes—
815Dic79⋊C4C2414yes—
816Dic79⋊C4C2414yes—
817Dic79⋊C4C2414yes—
818Dic79⋊C4C2414yes—
819Dic79⋊C4C2414yes—
820Dic79⋊C4C2414yes—
821Dic79⋊C4C2414yes—
822Dic79⋊C4C2414yes—
823Dic79⋊C4C2414yes—
824Dic79⋊C4C2414yes—
825Dic79⋊C4C2414yes—
826Dic79⋊C4C2414yes—
827Dic79⋊C4C2414yes—
828Dic79⋊C4C2412yes—
829Dic79⋊C4C2414yes—
830Dic79⋊C4C2412yes—
831Dic79⋊C4C2412yes—
832Dic79⋊C4C2412yes—
833Dic79⋊C4C2412yes—
834Dic79⋊C4C2412yes—
835Dic79⋊C4C2412yes—
836C22⋊Dic79C2414yes—
837C22⋊Dic79C2414yes—
838C22⋊Dic79C2414yes—
839C22⋊Dic79C2414yes—
840C22⋊Dic79C2412yes—
841C22⋊Dic79C2412yes—
842C22⋊Dic79C2412yes—
843(C2×D79)⋊C4C2414yes—
844(C2×D79)⋊C4C2412yes—
845(C2×D79)⋊C4C2412yes—
846(C2×D79)⋊C4C2412yes—
847(C2×D79)⋊C4C2414yes—
848(C2×D79)⋊C4C2414yes—
849(C2×D79)⋊C4C2414yes—
850(C2×D79)⋊C4C2414yes—
851(C2×D79)⋊C4C2414yes—
852(C2×D79)⋊C4C2412yes—
853(C2×D79)⋊C4C2412yes—
854(C2×D79)⋊C4C2414yes—
855(C2×D79)⋊C4C2414yes—
856(C2×D79)⋊C4C2414yes—
857(C2×D79)⋊C4C2414yes—
858(C2×D79)⋊C4C2414yes—
859(C2×D79)⋊C4C2414yes—
860(C2×D79)⋊C4C2414yes—
861(C2×D79)⋊C4C2414yes—
862(C2×D79)⋊C4C2412yes—
863(C2×D79)⋊C4C2412yes—
864(C2×D79)⋊C4C2412yes—
865(C2×D79)⋊C4C2414yes—
866(C2×D79)⋊C4C2412yes—
867(C2×D79)⋊C4C2412yes—
868(C2×D79)⋊C4C2414yes—
869(C2×D79)⋊C4C2412yes—
870(C2×D79)⋊C4C2412yes—
871(C2×D79)⋊C4C2414yes—
872(C2×D79)⋊C4C2414yes—
873(C2×D79)⋊C4C2414yes—
874(C2×D79)⋊C4C2414yes—
875(C2×D79)⋊C4C2412yes—
876(C2×D79)⋊C4C2414yes—
877(C2×D79)⋊C4C2414yes—
878(C2×D79)⋊C4C2412yes—
879(C2×D79)⋊C4C2412yes—
880(C2×D79)⋊C4C2414yes—
881(C2×D79)⋊C4C2412yes—
882C4×Dic79C2412yes—
883C4×Dic79C2412yes—
884C4×Dic79C2414yes—
885C4×Dic79C2414yes—
886C4×Dic79C2414yes—
887C4×Dic79C2412yes—
888C4×Dic79C2414yes—
889C4×Dic79C2414yes—
890C4×Dic79C2414yes—
891C4×Dic79C2414yes—
892#41×C79—42no—
893C2×Q8×C79—44no—
894C2×Q8×C79C2412yes—
895C2×Q8×C79C2411yescharacteristic
896C2×Q8×C79C2414yes—
897C2×Q8×C79C2412yes—
898C2×Q8×C79C2411yescharacteristic
899C2×Q8×C79C2414yes—
900C2×D4×C79C2411yescharacteristic
901C2×D4×C79C2412yes—
902C2×D4×C79C2414yes—
903C2×D4×C79C2411yescharacteristic
904C2×D4×C79C2412yes—
905C22×C4×C79C2411yescharacteristic
906C22×C4×C79C2412yes—
907C22×C4×C79C2412yes—
908C22×C4×C79C2411yescharacteristic
909C22×C4×C79C2412yes—
910C22×C4×C79C2411yescharacteristic
911C22×C4×C79C2412yes—
912C22×C4×C79C2414yes—
913C4⋊C4×C79C2411yescharacteristic
914C4⋊C4×C79C2412yes—
915C4⋊C4×C79C2411yescharacteristic
916C4⋊C4×C79C2412yes—
917C4⋊C4×C79C2411yescharacteristic
918C4⋊C4×C79C2412yes—
919C4⋊C4×C79C2411yescharacteristic
920C4⋊C4×C79C2412yes—
921C4⋊C4×C79C2412yes—
922C4⋊C4×C79C2414yes—
923C4⋊C4×C79C2414yes—
924C4⋊C4×C79C2412yes—
925C4⋊C4×C79C2414yes—
926C4⋊C4×C79C2412yes—
927C4⋊C4×C79C2414yes—
928C4⋊C4×C79C2412yes—
929C4⋊C4×C79C2412yes—
930C4⋊C4×C79C2414yes—
931C4⋊C4×C79C2412yes—
932C4⋊C4×C79C2414yes—
933C22⋊C4×C79C2414yes—
934C22⋊C4×C79C2412yes—
935C22⋊C4×C79C2412yes—
936C22⋊C4×C79C2412yes—
937C22⋊C4×C79C2412yes—
938C22⋊C4×C79C2412yes—
939C22⋊C4×C79C2414yes—
940C22⋊C4×C79C2414yes—
941C22⋊C4×C79C2414yes—
942C22⋊C4×C79C2412yes—
943C22⋊C4×C79C2414yes—
944C22⋊C4×C79C2412yes—
945C22⋊C4×C79C2414yes—
946C22⋊C4×C79C2412yes—
947C42×C79C2411yescharacteristic
948C42×C79C2412yes—
949C42×C79C2411yescharacteristic
950C42×C79C2412yes—
951C42×C79C2411yescharacteristic
952C42×C79C2411yescharacteristic
953C42×C79C2412yes—
954C42×C79C2414yes—
955C42×C79C2414yes—
956C42×C79C2414yes—
957C42×C79C2412yes—
958C42×C79C2414yes—
959C23×C79C2512yes—
960C23×C79C2512yes—
961C23×C79C2511yescharacteristic
962C22×D79—42no—
963C22×D79—42no—
964C22×D79—42no—
965C22×D79—44no—
966C22×D79—44no—
967C22×D79—44no—
968C22×D79C2512yes—
969C22×D79C2512yes—
970C22×D79C2514yes—
971C22×D79C2512yes—
972Q8×C79—24no—
973Q8×C79—22no—
974Q8×C79—44no—
975Q8×C79—42no—
976Q8×C79—44no—
977Q8×C79—41no—
978D4×C79—22no—
979D4×C79—44no—
980D4×C79—42no—
981D4×C79—41no—
982D4×C79—42no—
983C2×C4×C79—24no—
984C2×C4×C79—22no—
985C2×C4×C79—42no—
986C2×C4×C79—41no—
987C2×C4×C79—42no—
988C2×C4×C79—41no—
989C2×C4×C79—44no—
990C2×C4×C79—42no—
991C2×C4×C79C2512yes—
992C2×C4×C79C2512yes—
993C2×C4×C79C2514yes—
994C2×C4×C79C2512yes—
995C2×C4×C79C2512yes—
996C2×C4×C79C2512yes—
997C2×C4×C79C2514yes—
998C2×C4×C79C2511yescharacteristic
999C2×C4×C79C2512yes—
1000C2×C4×C79C2511yescharacteristic
1001C2×C4×C79C2511yescharacteristic
1002C2×C4×C79C2511yescharacteristic
1003C2×C4×C79C2511yescharacteristic
1004C2×C4×C79C2511yescharacteristic
1005C22⋊D79—44no—
1006C22⋊D79—44no—
1007C22⋊D79—44no—
1008C22⋊D79—42no—
1009C22⋊D79—42no—
1010C22⋊D79—44no—
1011C22⋊D79—44no—
1012C22⋊D79—42no—
1013C22⋊D79—44no—
1014C22⋊D79—42no—
1015C22⋊D79—42no—
1016C22⋊D79—42no—
1017C22⋊D79—42no—
1018C2×Dic79—42no—
1019C2×Dic79—42no—
1020C2×Dic79—44no—
1021C2×Dic79—42no—
1022C2×Dic79—44no—
1023C2×Dic79C2512yes—
1024C2×Dic79C2514yes—
1025C2×Dic79C2512yes—
1026C2×Dic79C2512yes—
1027C2×Dic79C2512yes—
1028C2×Dic79C2514yes—
1029C2×Dic79C2512yes—
1030C2×Dic79C2514yes—
1031D316—24no—
1032D316—44no—
1033D316—41no—
1034D316—42no—
1035D316—44no—
1036D316—42no—
1037D316—42no—
1038D316—42no—
1039D316—41no—
1040D316—41no—
1041D316—42no—
1042D316—44no—
1043D316—44no—
1044D316—42no—
1045D316—42no—
1046D316—44no—
1047C4×D79—24no—
1048C4×D79—24no—
1049C4×D79—24no—
1050C4×D79—42no—
1051C4×D79—42no—
1052C4×D79—44no—
1053C4×D79—42no—
1054C4×D79—44no—
1055C4×D79—44no—
1056C4×D79—44no—
1057C4×D79—42no—
1058C4×D79—44no—
1059C4×D79—44no—
1060C4×D79—44no—
1061C4×D79—44no—
1062C4×D79—44no—
1063C4×D79—44no—
1064C4×D79—44no—
1065Dic158—44no—
1066Dic158—44no—
1067Dic158—44no—
1068Dic158—41no—
1069Dic158—42no—
1070Dic158—42no—
1071Dic158—41no—
1072Dic158—41no—
1073C22×C79—21no—
1074C22×C79—22no—
1075C22×C79—22no—
1076C22×C79—21no—
1077C22×C79—22no—
1078C22×C79—22no—
1079C22×C79—22no—
1080C22×C79—22no—
1081C22×C79—21no—
1082C22×C79C2611yescharacteristic
1083C2×D79—22no—
1084C2×D79—22no—
1085C2×D79—22no—
1086C2×D79—24no—
1087C2×D79—22no—
1088C2×D79—24no—
1089C2×D79—22no—
1090C2×D79—22no—
1091C2×D79—22no—
1092C2×D79—22no—
1093C2×D79—24no—
1094C2×D79—22no—
1095C2×D79—84no—
1096C2×D79—164no—
1097C4×C79—21no—
1098C4×C79—22no—
1099C4×C79—22no—
1100C4×C79—24no—
1101C4×C79—21no—
1102C4×C79—22no—
1103C4×C79—21no—
1104C4×C79—22no—
1105C4×C79—24no—
1106C4×C79—21no—
1107C4×C79—22no—
1108C4×C79—21no—
1109C4×C79—22no—
1110C4×C79#58512yes—
1111Dic79—22no—
1112Dic79—22no—
1113Dic79—22no—
1114Dic79—24no—
1115Dic79—22no—
1116Dic79—24no—
1117Dic79—22no—
1118Dic79—24no—
1119#63065—791nomaximal, Sylow
1120C2×C79—42no—
1121C2×C79—42no—
1122C2×C79—41no—
1123C2×C79C2×#58511yescharacteristic
1124C2×C79H(7,𝔽2)11yescharacteristic
1125C2×C792−1+611yescharacteristic
1126D79—42no—
1127D79—42no—
1128D79—42no—
1129D79—44no—
1130#3567—792no—
1131#3566—794no—
1132#3564—794no—
1133#3563—791no—
1134#3562—794no—
1135#3561—792no—
1136#3560—794no—
1137#3559—791no—
1138#3552—792no—
1139#3551—794no—
1140#3551—792no—
1141#3548—791no—
1142#3547—794no—
1143#3545—792no—
1144#3544—792no—
1145#3542—792no—
1146#3541—792no—
1147#3536—792no—
1148#3531—792no—
1149#3529—791no—
1150#3524—792no—
1151#3521—792no—
1152#3518D7911yescharacteristic, complemented
1153#3514—791no—
1154#3512—791no—
1155#3511—792no—
1156#3495—792no—
1157#3494—792no—
1158#3493—792no—
1159C79#6306511yescharacteristic, complemented, Sylow
1160#564—792no—
1161#563—794no—
1162#563—794no—
1163#563—794no—
1164#563—792no—
1165#563—792no—
1166#563—791no—
1167#563—792no—
1168#563—794no—
1169#563—794no—
1170#563—794no—
1171#562—791no—
1172#562—792no—
1173#562—792no—
1174#562—791no—
1175#562—794no—
1176#562—792no—
1177#562—792no—
1178#562—792no—
1179#562—794no—
1180#562—794no—
1181#562—794no—
1182H(3,𝔽4)—791no—
1183#560—794no—
1184#560—792no—
1185#560—792no—
1186#560—792no—
1187#560—794no—
1188#559—791no—
1189#559—794no—
1190Q82C2×D7911yescharacteristic, complemented
1191#557—792no—
1192#556—792no—
1193#556—794no—
1194#556—791no—
1195#556—792no—
1196#556C2×D7912yescomplemented
1197#556C2×D7911yescharacteristic, complemented
1198#556C2×D7914yescomplemented
1199#556C2×D7912yescomplemented
1200#555—792no—
1201#555—794no—
1202#555—794no—
1203#555—792no—
1204#555—792no—
1205#555—794no—
1206#555C2×D7911yescharacteristic
1207#555C2×D7912yescomplemented
1208#554—794no—
1209#554—792no—
1210#554—792no—
1211#554—792no—
1212#554—792no—
1213#554—792no—
1214#554—792no—
1215#553—794no—
1216#553—794no—
1217#553—794no—
1218#553—794no—
1219#553—792no—
1220#553—792no—
1221#553—792no—
1222#553—794no—
1223#553—794no—
1224#553—794no—
1225#553—792no—
1226#553—792no—
1227#553—792no—
1228#553—794no—
1229#552—794no—
1230#552—794no—
1231#552—792no—
1232#552—792no—
1233#552—792no—
1234#552—792no—
1235#552—792no—
1236#552—792no—
1237#552—794no—
1238#552—794no—
1239#552—794no—
1240#552—794no—
1241#552—794no—
1242#551—794no—
1243#551—794no—
1244#551—794no—
1245#551—794no—
1246#551—794no—
1247#551—794no—
1248#551—794no—
1249#551—794no—
1250#551—794no—
1251#550—792no—
1252#550—792no—
1253D4×Q8—794no—
1254D4×Q8—791no—
1255D4×Q8C2×D7911yescharacteristic, complemented
1256#548—792no—
1257#548—792no—
1258#548—794no—
1259#548—794no—
1260#548—794no—
1261#548—792no—
1262#548C2×D7912yescomplemented
1263#547—792no—
1264#547—792no—
1265#547—792no—
1266#547—794no—
1267#547—794no—
1268#547—792no—
1269#547—792no—
1270#546—792no—
1271#546—792no—
1272#546—794no—
1273#546—792no—
1274#546—794no—
1275#546—794no—
1276#546—794no—
1277#546—794no—
1278#546—792no—
1279D42—791no—
1280#544—792no—
1281#544—792no—
1282#544—794no—
1283#544—792no—
1284#544—792no—
1285#543—794no—
1286#542—794no—
1287#542—794no—
1288#542—794no—
1289#542—794no—
1290#542—792no—
1291#542—794no—
1292#542—792no—
1293#542—792no—
1294#542—794no—
1295#542—794no—
1296#542C2×D7912yescomplemented
1297#542C2×D7914yescomplemented
1298#541—792no—
1299#541—794no—
1300#541—794no—
1301#541—794no—
1302#541—792no—
1303#540—794no—
1304#540—794no—
1305#540—794no—
1306#540—794no—
1307#540—792no—
1308#540—792no—
1309#540—794no—
1310#540—794no—
1311#539—794no—
1312#539—794no—
1313#539—794no—
1314#539—794no—
1315#539—794no—
1316#539—792no—
1317#539—792no—
1318#539—794no—
1319#538—794no—
1320#538—794no—
1321#538—794no—
1322#538—794no—
1323#538—794no—
1324#538—794no—
1325#538—794no—
1326#538—794no—
1327#538—794no—
1328#538—794no—
1329#537—791no—
1330#537—791no—
1331#537—792no—
1332#537—792no—
1333#537—792no—
1334#537—794no—
1335#537—794no—
1336#537—792no—
1337#536—792no—
1338#536—794no—
1339#536—794no—
1340#536—794no—
1341#535—794no—
1342#535—792no—
1343#534—794no—
1344#533—794no—
1345#533—794no—
1346#533C2×D7912yescomplemented
1347#533C2×D7911yescharacteristic, complemented
1348#532—794no—
1349#532—794no—
1350#532—792no—
1351#532—791no—
1352#532—791no—
1353C2×C4⋊Q8—792no—
1354#529—794no—
1355#529—792no—
1356#529—794no—
1357#529—794no—
1358#529—792no—
1359#529—794no—
1360#529—792no—
1361#529—794no—
1362#529—794no—
1363#529—792no—
1364#529—794no—
1365#529—792no—
1366#529—792no—
1367#529—791no—
1368#529—792no—
1369#529C2×D7911yescharacteristic, complemented
1370#529C2×D7912yescomplemented
1371C2×#126—794no—
1372C2×#125—791no—
1373C2×#124—792no—
1374#525—792no—
1375#525—792no—
1376#525—792no—
1377#525—792no—
1378C2×C22⋊Q8—792no—
1379C2×#121—792no—
1380#520—792no—
1381#520—791no—
1382#520—792no—
1383#520—791no—
1384#519C2×D7912yescomplemented
1385#518—792no—
1386C4×#41—792no—
1387C4×#41C2×D7911yescharacteristic, complemented
1388C2×#117—792no—
1389C2×#41—792no—
1390C2×#41—792no—
1391C2×#41—794no—
1392C2×#41—794no—
1393C2×#41—794no—
1394C2×#41—794no—
1395C2×#41—792no—
1396C2×#41—791no—
1397C2×#41—791no—
1398C2×#41—792no—
1399C2×#41C22×D7911yescharacteristic
1400C22×Q8—794no—
1401C22×Q8—792no—
1402C22×Q8C22×D7912yes—
1403C22×D4—792no—
1404C22×D4—794no—
1405C22×D4—792no—
1406C23×C4—792no—
1407C4⋊Q8—794no—
1408C4⋊Q8—794no—
1409C4⋊Q8—794no—
1410C4⋊Q8—794no—
1411C4⋊Q8—794no—
1412C4⋊Q8—792no—
1413C4⋊Q8—792no—
1414C4⋊Q8—792no—
1415C4⋊Q8—794no—
1416C4⋊Q8—794no—
1417C4⋊Q8—792no—
1418C4⋊Q8—791no—
1419C4⋊Q8—791no—
1420C4⋊Q8C22×D7912yes—
1421C4⋊Q8C22×D7912yes—
1422C4⋊Q8C22×D7911yescharacteristic
1423C4⋊Q8C22×D7912yes—
1424C4⋊Q8C22×D7911yescharacteristic
1425C4⋊Q8C22×D7914yes—
1426#127—792no—
1427#127—794no—
1428#127—791no—
1429#127—791no—
1430#127—794no—
1431#126—792no—
1432#126—794no—
1433#126—794no—
1434#126—792no—
1435#126—794no—
1436#126—792no—
1437#126—794no—
1438#126—794no—
1439#126—794no—
1440#126—794no—
1441#126—794no—
1442#126—794no—
1443#126—794no—
1444#126—794no—
1445#126—794no—
1446#126—794no—
1447#126—792no—
1448#126—794no—
1449#126—794no—
1450#126—794no—
1451#126—794no—
1452#126—794no—
1453#126—794no—
1454#126—792no—
1455#126—794no—
1456#126—794no—
1457#126—794no—
1458#126—794no—
1459#126—794no—
1460#126C22×D7914yes—
1461#126C22×D7914yes—
1462#126C22×D7914yes—
1463#126C22×D7912yes—
1464#126C22×D7914yes—
1465#125—794no—
1466#125—794no—
1467#125—794no—
1468#125—794no—
1469#125—794no—
1470#125—794no—
1471#125—794no—
1472#125—792no—
1473#125—792no—
1474#125—792no—
1475#125—794no—
1476#125—794no—
1477#125—794no—
1478#125—794no—
1479#125—794no—
1480#125—794no—
1481#125—794no—
1482#125—792no—
1483#125—792no—
1484#125—792no—
1485#125—792no—
1486#125—791no—
1487#125—792no—
1488#125—794no—
1489#125—794no—
1490#125—794no—
1491#125C22×D7912yes—
1492#125C22×D7911yescharacteristic
1493#124—794no—
1494#124—794no—
1495#124—794no—
1496#124—792no—
1497#124—792no—
1498#124—794no—
1499#124—794no—
1500#124—794no—
1501#124—792no—
1502#124—794no—
1503#124—794no—
1504#124—794no—
1505#124—792no—
1506#124—792no—
1507#124—794no—
1508#124—791no—
1509#124—792no—
1510#124—794no—
1511#124—794no—
1512#124—792no—
1513#124—792no—
1514#124—791no—
1515#124—791no—
1516#124—794no—
1517#124—794no—
1518#124—794no—
1519#124C22×D7912yes—
1520#124C22×D7911yescharacteristic
1521#124C22×D7914yes—
1522#124C22×D7914yes—
1523#124C22×D7914yes—
1524#124C22×D7914yes—
1525#123—794no—
1526#123—794no—
1527#123—794no—
1528#123—792no—
1529#123—794no—
1530#123—794no—
1531#123—794no—
1532#123—794no—
1533#123—794no—
1534#123—792no—
1535#123—792no—
1536#123—794no—
1537#123—792no—
1538#123—792no—
1539#123—794no—
1540#123—794no—
1541#123—794no—
1542#123—792no—
1543#123—794no—
1544#123—794no—
1545#123—794no—
1546#123—794no—
1547#123—794no—
1548#123—794no—
1549#123—794no—
1550#123—794no—
1551#123—794no—
1552#123—794no—
1553#123—794no—
1554#123—794no—
1555#123—794no—
1556#123—792no—
1557#123—792no—
1558#123—792no—
1559#123—792no—
1560#123—794no—
1561#123—794no—
1562#123—794no—
1563#123—794no—
1564#123—792no—
1565#123—794no—
1566#123—794no—
1567#123—794no—
1568#123—794no—
1569#123—794no—
1570#123—794no—
1571#123—794no—
1572#123C22×D7914yes—
1573#123C22×D7912yes—
1574C22⋊Q8—794no—
1575C22⋊Q8—792no—
1576C22⋊Q8—792no—
1577C22⋊Q8—792no—
1578C22⋊Q8—792no—
1579C22⋊Q8—794no—
1580C22⋊Q8—792no—
1581C22⋊Q8—792no—
1582C22⋊Q8—792no—
1583C22⋊Q8—794no—
1584C22⋊Q8—794no—
1585C22⋊Q8—792no—
1586C22⋊Q8—794no—
1587C22⋊Q8—794no—
1588C22⋊Q8—794no—
1589C22⋊Q8—794no—
1590C22⋊Q8—794no—
1591C22⋊Q8—792no—
1592C22⋊Q8—792no—
1593C22⋊Q8—792no—
1594C22⋊Q8—791no—
1595C22⋊Q8—792no—
1596C22⋊Q8—792no—
1597C22⋊Q8—792no—
1598C22⋊Q8—792no—
1599C22⋊Q8—794no—
1600C22⋊Q8—794no—
1601C22⋊Q8—794no—
1602C22⋊Q8—792no—
1603C22⋊Q8—794no—
1604C22⋊Q8—794no—
1605C22⋊Q8—794no—
1606C22⋊Q8—794no—
1607C22⋊Q8—794no—
1608C22⋊Q8—794no—
1609C22⋊Q8—794no—
1610C22⋊Q8—794no—
1611C22⋊Q8—794no—
1612C22⋊Q8—794no—
1613C22⋊Q8—794no—
1614C22⋊Q8—794no—
1615C22⋊Q8—794no—
1616C22⋊Q8—792no—
1617C22⋊Q8—792no—
1618C22⋊Q8—794no—
1619C22⋊Q8—794no—
1620C22⋊Q8—794no—
1621C22⋊Q8—794no—
1622C22⋊Q8—794no—
1623C22⋊Q8—794no—
1624C22⋊Q8—794no—
1625C22⋊Q8C22×D7912yes—
1626C22⋊Q8C22×D7912yes—
1627C22⋊Q8C22×D7911yescharacteristic
1628C22⋊Q8C22×D7912yes—
1629C22⋊Q8C22×D7912yes—
1630C22⋊Q8C22×D7914yes—
1631C22⋊Q8C22×D7914yes—
1632C22⋊Q8C22×D7914yes—
1633#121—794no—
1634#121—792no—
1635#121—792no—
1636#121—792no—
1637#121—792no—
1638#121—792no—
1639#121—794no—
1640#121—794no—
1641#121—794no—
1642#121—794no—
1643#121—794no—
1644#121—794no—
1645#121—792no—
1646#121—792no—
1647#121—792no—
1648#121—792no—
1649#121—791no—
1650#121—792no—
1651#121—792no—
1652#121—792no—
1653#121—792no—
1654#121—792no—
1655#121—794no—
1656#121—794no—
1657#121—792no—
1658#121—792no—
1659#121—792no—
1660#121—792no—
1661#121—794no—
1662#121—792no—
1663#121—794no—
1664#121—792no—
1665#121—792no—
1666#121—794no—
1667#121—794no—
1668#121—794no—
1669#121—794no—
1670#121—794no—
1671#121—794no—
1672#121—792no—
1673#121—792no—
1674#121—794no—
1675#121—794no—
1676#121—794no—
1677#121—792no—
1678#121—794no—
1679#121—794no—
1680#121—794no—
1681#121—792no—
1682#121—794no—
1683#121—794no—
1684#121—794no—
1685#121—792no—
1686#121—794no—
1687#121—794no—
1688#121—794no—
1689#121—794no—
1690#121—794no—
1691#121—794no—
1692#121C22×D7912yes—
1693#121C22×D7911yescharacteristic
1694#121C22×D7912yes—
1695#121C22×D7914yes—
1696#120—792no—
1697#120—792no—
1698#120—794no—
1699#120—794no—
1700#120—792no—
1701#120—794no—
1702#120—792no—
1703#120—792no—
1704#120—792no—
1705#120—794no—
1706#120—794no—
1707#120—794no—
1708#120—794no—
1709C4×Q8—792no—
1710C4×Q8—792no—
1711C4×Q8—794no—
1712C4×Q8—794no—
1713C4×Q8—792no—
1714C4×Q8—792no—
1715C4×Q8—791no—
1716C4×Q8—794no—
1717C4×Q8—792no—
1718C4×Q8—794no—
1719C4×Q8C22×D7912yes—
1720C4×Q8C22×D7911yescharacteristic
1721C4×Q8C22×D7911yescharacteristic
1722C4×Q8C22×D7914yes—
1723C4×Q8C22×D7914yes—
1724C4×Q8C22×D7912yes—
1725C4×Q8C22×D7912yes—
1726C4×Q8C22×D7911yescharacteristic
1727C4×Q8C22×D7914yes—
1728C4×Q8C22×D7912yes—
1729C4×Q8C22×D7912yes—
1730C4×D4—792no—
1731C4×D4—794no—
1732C4×D4—792no—
1733C4×D4—792no—
1734C4×D4—792no—
1735C4×D4—794no—
1736C4×D4—794no—
1737C4×D4—794no—
1738C4×D4—794no—
1739C4×D4—792no—
1740C4×D4—794no—
1741C4×D4—794no—
1742C4×D4—794no—
1743C4×D4—794no—
1744C4×D4—794no—
1745C4×D4—794no—
1746C4×D4—794no—
1747C4×D4—794no—
1748C4×D4—794no—
1749C4×D4—794no—
1750C4×D4—794no—
1751C4×D4—794no—
1752C4×D4—794no—
1753C4×D4—794no—
1754C4×D4—794no—
1755C4×D4—792no—
1756C4×D4—794no—
1757C4×D4—792no—
1758C4×D4—794no—
1759C4×D4—792no—
1760C4×D4—792no—
1761C4×D4—792no—
1762C4×D4—794no—
1763C4×D4—791no—
1764C4×D4—792no—
1765C4×D4—792no—
1766C4×D4—792no—
1767C4×D4—792no—
1768C4×D4—794no—
1769C4×D4—792no—
1770C4×D4—794no—
1771C4×D4—794no—
1772C4×D4—794no—
1773C4×D4—794no—
1774C4×D4—792no—
1775C4×D4C22×D7911yescharacteristic
1776C4×D4C22×D7912yes—
1777C4×D4C22×D7911yescharacteristic
1778C4×D4C22×D7912yes—
1779C4×D4C22×D7911yescharacteristic
1780C4×D4C22×D7912yes—
1781C4×D4C22×D7912yes—
1782C4×D4C22×D7914yes—
1783#117—792no—
1784#117—792no—
1785#117—792no—
1786#117—792no—
1787#117—794no—
1788#117—792no—
1789#117—794no—
1790#117—794no—
1791#117—794no—
1792#117—794no—
1793#117—794no—
1794#117—792no—
1795#117—792no—
1796#117—794no—
1797#117—794no—
1798#117—794no—
1799#117—794no—
1800#117—794no—
1801#117—794no—
1802#117—794no—
1803#117—794no—
1804#117—794no—
1805#117C22×D7912yes—
1806#117C22×D7911yescharacteristic
1807#117C22×D7912yes—
1808#117C22×D7912yes—
1809#117C22×D7914yes—
1810#117C22×D7914yes—
1811#117C22×D7912yes—
1812#117C22×D7912yes—
1813#117C22×D7912yes—
1814C2×C4⋊C4—792no—
1815C2×C4⋊C4—791no—
1816C2×C4⋊C4—791no—
1817C2×C4⋊C4—794no—
1818C2×C4⋊C4—792no—
1819C2×C4⋊C4—792no—
1820C2×C4⋊C4—792no—
1821C2×C4⋊C4—792no—
1822C2×C4⋊C4—792no—
1823C2×C4⋊C4—794no—
1824C2×C4⋊C4—792no—
1825C2×C4⋊C4—792no—
1826C2×C4⋊C4—794no—
1827C2×C4⋊C4—794no—
1828C2×C4⋊C4—794no—
1829C2×C22⋊C4—794no—
1830C2×C22⋊C4—794no—
1831C2×C22⋊C4—794no—
1832C2×C22⋊C4—794no—
1833C2×C22⋊C4—794no—
1834C2×C22⋊C4—794no—
1835C2×C22⋊C4—794no—
1836C2×C22⋊C4—794no—
1837C2×C42—794no—
1838C2×C42—794no—
1839C2×C42—792no—
1840C2×C42C22×D7912yes—
1841C2×C42C22×D7911yescharacteristic
1842C24—794no—
1843C24—792no—
1844#41—42no—
1845#41—3164no—
1846#41—3162no—
1847#41—3162no—
1848#41—3164no—
1849#41—3164no—
1850#41—6322no—
1851#41—6324no—
1852#41—6324no—
1853#41—6324no—
1854#41—6324no—
1855C2×Q8—44no—
1856C2×Q8—791no—
1857C2×Q8—791no—
1858C2×Q8—792no—
1859C2×Q8—792no—
1860C2×Q8—794no—
1861C2×Q8—794no—
1862C2×Q8—794no—
1863C2×Q8—791no—
1864C2×Q8—6322no—
1865C2×Q8—6324no—
1866C2×Q8C23×D7912yes—
1867C2×Q8C23×D7911yescharacteristic
1868C2×Q8C23×D7911yescharacteristic
1869C2×Q8C23×D7914yes—
1870C2×Q8C23×D7912yes—
1871C2×Q8C23×D7914yes—
1872C2×D4—3164no—
1873C2×D4—792no—
1874C2×D4—794no—
1875C2×D4—794no—
1876C2×D4—792no—
1877C2×D4—792no—
1878C2×D4—792no—
1879C2×D4—794no—
1880C2×D4—792no—
1881C2×D4—792no—
1882C2×D4—792no—
1883C2×D4—794no—
1884C2×D4—794no—
1885C2×D4—794no—
1886C2×D4—792no—
1887C2×D4—792no—
1888C2×D4—792no—
1889C2×D4—792no—
1890C2×D4—794no—
1891C2×D4—791no—
1892C2×D4—794no—
1893C2×D4—791no—
1894C2×D4—792no—
1895C2×D4—794no—
1896C2×D4—791no—
1897C2×D4—792no—
1898C2×D4—794no—
1899C2×D4—794no—
1900C2×D4—792no—
1901C2×D4—792no—
1902C2×D4—6322no—
1903C2×D4—6324no—
1904C2×D4C23×D7911yescharacteristic
1905C2×D4C23×D7911yescharacteristic
1906C2×D4C23×D7912yes—
1907C2×D4C23×D7912yes—
1908C2×D4C23×D7914yes—
1909C22×C4—3164no—
1910C22×C4—794no—
1911C22×C4—794no—
1912C22×C4—792no—
1913C22×C4—792no—
1914C22×C4—792no—
1915C22×C4—792no—
1916C22×C4—794no—
1917C22×C4—794no—
1918C22×C4—794no—
1919C22×C4—794no—
1920C22×C4—794no—
1921C22×C4—792no—
1922C22×C4—792no—
1923C22×C4—792no—
1924C22×C4—794no—
1925C22×C4—794no—
1926C22×C4—794no—
1927C22×C4—794no—
1928C22×C4—794no—
1929C22×C4—794no—
1930C22×C4—792no—
1931C22×C4—792no—
1932C22×C4—792no—
1933C22×C4C23×D7911yescharacteristic
1934C22×C4C23×D7912yes—
1935C22×C4C23×D7912yes—
1936C22×C4C23×D7912yes—
1937C22×C4C23×D7911yescharacteristic
1938C22×C4C23×D7911yescharacteristic
1939C22×C4C23×D7912yes—
1940C22×C4C23×D7914yes—
1941C4⋊C4—794no—
1942C4⋊C4—792no—
1943C4⋊C4—794no—
1944C4⋊C4—794no—
1945C4⋊C4—794no—
1946C4⋊C4—794no—
1947C4⋊C4—794no—
1948C4⋊C4—794no—
1949C4⋊C4—794no—
1950C4⋊C4—794no—
1951C4⋊C4—794no—
1952C4⋊C4—794no—
1953C4⋊C4—794no—
1954C4⋊C4—794no—
1955C4⋊C4—794no—
1956C4⋊C4—794no—
1957C4⋊C4—794no—
1958C4⋊C4—794no—
1959C4⋊C4—792no—
1960C4⋊C4—792no—
1961C4⋊C4—794no—
1962C4⋊C4—794no—
1963C4⋊C4—794no—
1964C4⋊C4—792no—
1965C4⋊C4—794no—
1966C4⋊C4—792no—
1967C4⋊C4—792no—
1968C4⋊C4—792no—
1969C4⋊C4—792no—
1970C4⋊C4—792no—
1971C4⋊C4—792no—
1972C4⋊C4—792no—
1973C4⋊C4—792no—
1974C4⋊C4—794no—
1975C4⋊C4—792no—
1976C4⋊C4—794no—
1977C4⋊C4—792no—
1978C4⋊C4—794no—
1979C4⋊C4—792no—
1980C4⋊C4—794no—
1981C4⋊C4—792no—
1982C4⋊C4—792no—
1983C4⋊C4—794no—
1984C4⋊C4—791no—
1985C4⋊C4—791no—
1986C4⋊C4—792no—
1987C4⋊C4C23×D7912yes—
1988C4⋊C4C23×D7911yescharacteristic
1989C4⋊C4C23×D7911yescharacteristic
1990C4⋊C4C23×D7912yes—
1991C4⋊C4C23×D7912yes—
1992C4⋊C4C23×D7914yes—
1993C4⋊C4C23×D7914yes—
1994C4⋊C4C23×D7912yes—
1995C4⋊C4C23×D7911yescharacteristic
1996C4⋊C4C23×D7912yes—
1997C4⋊C4C23×D7911yescharacteristic
1998C4⋊C4C23×D7912yes—
1999C4⋊C4C23×D7912yes—
2000C4⋊C4C23×D7914yes—
2001C4⋊C4C23×D7912yes—
2002C4⋊C4C23×D7912yes—
2003C4⋊C4C23×D7914yes—
2004C4⋊C4C23×D7914yes—
2005C4⋊C4C23×D7914yes—
2006C4⋊C4C23×D7912yes—
2007C22⋊C4—794no—
2008C22⋊C4—794no—
2009C22⋊C4—794no—
2010C22⋊C4—794no—
2011C22⋊C4—792no—
2012C22⋊C4—792no—
2013C22⋊C4—792no—
2014C22⋊C4—794no—
2015C22⋊C4—792no—
2016C22⋊C4—792no—
2017C22⋊C4—794no—
2018C22⋊C4—792no—
2019C22⋊C4—792no—
2020C22⋊C4—792no—
2021C22⋊C4—794no—
2022C22⋊C4—794no—
2023C22⋊C4—794no—
2024C22⋊C4—794no—
2025C22⋊C4—794no—
2026C22⋊C4—794no—
2027C22⋊C4—794no—
2028C22⋊C4—794no—
2029C22⋊C4—794no—
2030C22⋊C4—794no—
2031C22⋊C4—794no—
2032C22⋊C4—792no—
2033C22⋊C4—794no—
2034C22⋊C4—792no—
2035C22⋊C4—794no—
2036C22⋊C4—792no—
2037C22⋊C4—792no—
2038C22⋊C4—794no—
2039C22⋊C4—792no—
2040C22⋊C4—794no—
2041C22⋊C4—794no—
2042C22⋊C4—792no—
2043C22⋊C4—794no—
2044C22⋊C4—794no—
2045C22⋊C4—792no—
2046C22⋊C4—794no—
2047C22⋊C4—792no—
2048C22⋊C4—794no—
2049C22⋊C4—792no—
2050C22⋊C4—792no—
2051C22⋊C4—794no—
2052C22⋊C4—792no—
2053C22⋊C4C23×D7912yes—
2054C22⋊C4C23×D7914yes—
2055C22⋊C4C23×D7914yes—
2056C22⋊C4C23×D7914yes—
2057C22⋊C4C23×D7914yes—
2058C22⋊C4C23×D7914yes—
2059C22⋊C4C23×D7912yes—
2060C22⋊C4C23×D7912yes—
2061C22⋊C4C23×D7912yes—
2062C22⋊C4C23×D7912yes—
2063C22⋊C4C23×D7914yes—
2064C22⋊C4C23×D7912yes—
2065C22⋊C4C23×D7912yes—
2066C22⋊C4C23×D7912yes—
2067C42—792no—
2068C42—792no—
2069C42—794no—
2070C42—794no—
2071C42—794no—
2072C42—792no—
2073C42—794no—
2074C42—794no—
2075C42—794no—
2076C42—794no—
2077C42C23×D7914yes—
2078C42C23×D7914yes—
2079C42C23×D7912yes—
2080C42C23×D7911yescharacteristic
2081C42C23×D7912yes—
2082C42C23×D7912yes—
2083C42C23×D7911yescharacteristic
2084C42C23×D7912yes—
2085C42C23×D7911yescharacteristic
2086C42C23×D7911yescharacteristic
2087C42C23×D7914yes—
2088C42C23×D7914yes—
2089C23—3162no—
2090C23—3162no—
2091C23—3162no—
2092C23—3164no—
2093C23—3164no—
2094C23—3164no—
2095C23—792no—
2096C23—794no—
2097C23—792no—
2098C23—792no—
2099C23C24×D7912yes—
2100C23C24×D7912yes—
2101C23C24×D7911yescharacteristic
2102Q8—22no—
2103Q8—24no—
2104Q8—44no—
2105Q8—44no—
2106Q8—41no—
2107Q8—42no—
2108Q8—3161no—
2109Q8—3164no—
2110Q8—3162no—
2111Q8—3164no—
2112Q8—3164no—
2113Q8—3161no—
2114Q8—3161no—
2115Q8—3162no—
2116D4—22no—
2117D4—44no—
2118D4—41no—
2119D4—42no—
2120D4—42no—
2121D4—3161no—
2122D4—3162no—
2123D4—3164no—
2124D4—3164no—
2125D4—3161no—
2126D4—3161no—
2127D4—3162no—
2128D4—3164no—
2129D4—3164no—
2130D4—3162no—
2131D4—3164no—
2132D4—3162no—
2133D4—3162no—
2134D4—3162no—
2135D4—3162no—
2136D4—3164no—
2137D4—3162no—
2138D4—3164no—
2139D4—3164no—
2140D4—3162no—
2141D4—3164no—
2142D4—3164no—
2143D4—3162no—
2144D4—3162no—
2145D4—3162no—
2146D4—3162no—
2147D4—3164no—
2148D4—3162no—
2149D4—1584no—
2150C2×C4—24no—
2151C2×C4—22no—
2152C2×C4—42no—
2153C2×C4—41no—
2154C2×C4—42no—
2155C2×C4—44no—
2156C2×C4—42no—
2157C2×C4—41no—
2158C2×C4—3162no—
2159C2×C4—3162no—
2160C2×C4—3164no—
2161C2×C4—3162no—
2162C2×C4—3164no—
2163C2×C4—3164no—
2164C2×C4—3164no—
2165C2×C4—3164no—
2166C2×C4—3164no—
2167C2×C4—3164no—
2168C2×C4—3164no—
2169C2×C4—3164no—
2170C2×C4—3164no—
2171C2×C4—3164no—
2172C2×C4—3162no—
2173C2×C4—3162no—
2174C2×C4—3164no—
2175C2×C4—3162no—
2176C2×C4—3164no—
2177C2×C4—3162no—
2178C2×C4—792no—
2179C2×C4—792no—
2180C2×C4—794no—
2181C2×C4—792no—
2182C2×C4—792no—
2183C2×C4—792no—
2184C2×C4—794no—
2185C2×C4—794no—
2186C2×C4—1584no—
2187C2×C4—1584no—
2188C2×C4—1584no—
2189C2×C4C24×D7912yes—
2190C2×C4C24×D7912yes—
2191C2×C4C24×D7914yes—
2192C2×C4C24×D7912yes—
2193C2×C4C24×D7912yes—
2194C2×C4C24×D7912yes—
2195C2×C4C24×D7914yes—
2196C2×C4C24×D7911yescharacteristic
2197C2×C4C24×D7911yescharacteristic
2198C2×C4C24×D7912yes—
2199C2×C4C24×D7911yescharacteristic
2200C2×C4C24×D7911yescharacteristic
2201C2×C4C24×D7911yescharacteristic
2202C2×C4C24×D7911yescharacteristic
2203C22—22no—
2204C22—21no—
2205C22—22no—
2206C22—21no—
2207C22—22no—
2208C22—22no—
2209C22—21no—
2210C22—22no—
2211C22—22no—
2212C22—6324no—
2213C22—1584no—
2214C22—1582no—
2215C22—1582no—
2216C22—1582no—
2217C22—1582no—
2218C22—1582no—
2219C22—1584no—
2220C22—1582no—
2221C22—1582no—
2222C22—1584no—
2223C22—1582no—
2224C22—1582no—
2225C22—12644no—
2226C22C25×D7911yescharacteristic
2227C4—21no—
2228C4—22no—
2229C4—22no—
2230C4—24no—
2231C4—21no—
2232C4—21no—
2233C4—22no—
2234C4—24no—
2235C4—22no—
2236C4—21no—
2237C4—22no—
2238C4—21no—
2239C4—22no—
2240C4—1582no—
2241C4—1582no—
2242C4—1582no—
2243C4—1584no—
2244C4—1584no—
2245C4—1582no—
2246C4—1582no—
2247C4—1584no—
2248C4#1909939912yes—
2249C2—42no—
2250C2—42no—
2251C2—41no—
2252C2—3162no—
2253C2—3162no—
2254C2—3164no—
2255C2—3162no—
2256C2C2×#1909939911yescharacteristic
2257C2#2377821111yescharacteristic
2258C2#2377821211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3518C2
hypercenter#3518D79
hypocenterC79#63065
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3518

Complements

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

NH ≅ G/Ntype
1. #23778088C2semidirect
2. #23778066C2semidirect
3. #23778019C2semidirect
4. #23778010C2semidirect
5. #23777995C2semidirect
6. #23777965C2semidirect
7. #23777955C2semidirect
8. #23777931C2semidirect
9. #23777836C2semidirect
10. #23777816C2semidirect
11. #23777815C2semidirect
12. #23777800C2semidirect
13. #23777782C2semidirect
14. #23777752C2semidirect
15. #23777745C2semidirect
16. #23777712C2semidirect
17. #23777698C2semidirect
18. #23777616C2semidirect
19. #23777547C2semidirect
20. #23777539C2semidirect
21. #23777511C2semidirect
22. #23777467C2semidirect
23. #23777361C2semidirect
24. #23777322C2semidirect
25. #23777304C2semidirect
26. #23777142C2semidirect
27. #23777134C2semidirect
28. #23777114C2semidirect
29. C79×#3518C2semidirect
30. C79⋊#564C22semidirect
32. #19099317C22semidirect
33. #19099317C22semidirect
34. #19099315C22semidirect
35. #19099314C22semidirect
36. #19099314C22semidirect
37. #19099313C22semidirect
38. #19099312C22semidirect
39. #19099312C22semidirect
40. #19099312C22semidirect
42. #19099311C22semidirect
43. #19099311C22semidirect
44. #19099310C22semidirect
45. #19099309C22semidirect
46. #19099309C22semidirect
47. #19099309C22semidirect
48. #19099309C22semidirect
49. #19099307C22semidirect
50. #19099307C22semidirect
51. #19099307C22semidirect
54. #19099304C22semidirect
56. #19099301C22semidirect
57. #19099301C22semidirect
58. #19099298C22semidirect
59. #19099298C22semidirect
60. #19099289C22semidirect
62. #19099286C22semidirect
63. #19099285C22semidirect
64. #19099284C22semidirect
66. #19099276C22semidirect
67. #19099276C22semidirect
68. #19099276C22semidirect
69. #19099275C22semidirect
70. #19099275C22semidirect
71. #19099273C22semidirect
72. #19099273C22semidirect
73. #19099273C22semidirect
74. #19099273C22semidirect
75. #19099271C22semidirect
76. #19099271C22semidirect
77. #19099267C22semidirect
78. #19099264C22semidirect
79. #19099264C22semidirect
80. #19099264C22semidirect
81. #19099264C22semidirect
82. #19099263C22semidirect
83. #19099263C22semidirect
84. #19099262C22semidirect
85. #19099262C22semidirect
86. #19099262C22semidirect
87. #19099260C22semidirect
88. #19099259C22semidirect
89. #19099259C22semidirect
90. #19099257C22semidirect
91. #19099257C22semidirect
92. #19099255C22semidirect
94. #19099254C22semidirect
95. #19099254C22semidirect
96. #19099254C22semidirect
97. #19099254C22semidirect
98. #19099254C22semidirect
99. #19099254C22semidirect
100. #19099249C22semidirect
101. #19099249C22semidirect
102. #19099246C22semidirect
103. #19099246C22semidirect
104. #19099246C22semidirect
105. #19099243C22semidirect
106. #19099242C22semidirect
107. #19099240C22semidirect
108. #19099238C22semidirect
110. #19099237C22semidirect
111. #19099237C22semidirect
112. #19099237C22semidirect
113. #19099237C22semidirect
114. #19099235C22semidirect
115. #19099235C22semidirect
116. D4×Dic158C22semidirect
117. #19099226C22semidirect
118. #19099225C22semidirect
119. #19099224C22semidirect
120. #19099224C22semidirect
121. #19099222C22semidirect
122. #19099221C22semidirect
123. #19099221C22semidirect
124. #19099217C22semidirect
125. #19099216C22semidirect
126. #19099216C22semidirect
127. #19099216C22semidirect
128. #19099216C22semidirect
130. #19099211C22semidirect
132. #19099208C22semidirect
134. #19099206C22semidirect
135. #19099206C22semidirect
137. #19099202C22semidirect
138. #19099202C22semidirect
139. #19099201C22semidirect
141. #19099192C22semidirect
142. #19099191C22semidirect
143. #19099190C22semidirect
144. #19099190C22semidirect
145. #19099190C22semidirect
146. #19099188C22semidirect
147. #19099187C22semidirect
149. #19099185C22semidirect
150. #19099185C22semidirect
151. #19099185C22semidirect
152. #19099185C22semidirect
153. #19099182C22semidirect
154. #19099179C22semidirect
155. #19099179C22semidirect
156. #19099177C22semidirect
157. #19099175C22semidirect
158. #19099174C22semidirect
159. #19099171C22semidirect
160. #19099171C22semidirect
161. #19099170C22semidirect
162. #19099168C22semidirect
163. #19099168C22semidirect
164. #19099168C22semidirect
165. #19099168C22semidirect
166. #19099165C22semidirect
167. #19099164C22semidirect
168. #19099163C22semidirect
169. #19099163C22semidirect
171. #19099162C22semidirect
172. #19099159C22semidirect
173. #19099159C22semidirect
174. #19099156C22semidirect
175. #19099155C22semidirect
176. #19099154C22semidirect
177. #19099154C22semidirect
178. #19099153C22semidirect
179. #19099153C22semidirect
180. #19099152C22semidirect
181. #19099152C22semidirect
183. #19099147C22semidirect
184. #19099147C22semidirect
185. #19099147C22semidirect
186. #19099146C22semidirect
187. #19099146C22semidirect
189. #19099143C22semidirect
190. #19099143C22semidirect
191. #19099143C22semidirect
193. #19099141C22semidirect
194. #19099140C22semidirect
195. #19099140C22semidirect
196. #19099138C22semidirect
197. #19099138C22semidirect
198. #19099137C22semidirect
199. #19099135C22semidirect
200. #19099131C22semidirect
203. #19099117C22semidirect
204. #19099117C22semidirect
205. #19099113C22semidirect
206. #19099113C22semidirect
207. #19099112C22semidirect
208. #19099112C22semidirect
209. #19099110C22semidirect
210. C4⋊Q8×D79C22semidirect
211. #19099100C22semidirect
212. #19099100C22semidirect
213. #19099100C22semidirect
214. #19099100C22semidirect
215. #19099100C22semidirect
217. #19099097C22semidirect
218. #19099097C22semidirect
219. #19099097C22semidirect
220. #19099096C22semidirect
221. #19099092C22semidirect
222. #19099091C22semidirect
223. #19099091C22semidirect
224. #19099091C22semidirect
225. #19099091C22semidirect
226. #126×D79C22semidirect
227. C2×#14579153C22semidirect
229. #19099076C22semidirect
231. #19099072C22semidirect
232. #19099072C22semidirect
233. C2×#14579137C22semidirect
234. #121×D79C22semidirect
235. #19099045C22semidirect
236. #19099043C22semidirect
237. #19099043C22semidirect
238. #19099043C22semidirect
239. #19099035C22semidirect
240. C4×#11929625C22semidirect
241. #117×D79C22semidirect
242. Q82×C79C22semidirect
243. #556×C79C22semidirect
244. #556×C79C22semidirect
245. #556×C79C22semidirect
246. #556×C79C22semidirect
248. #555×C79C22semidirect
249. D4×Q8×C79C22semidirect
250. #548×C79C22semidirect
251. #542×C79C22semidirect
252. #542×C79C22semidirect
253. #533×C79C22semidirect
254. #533×C79C22semidirect
255. #529×C79C22semidirect
256. #529×C79C22semidirect
257. #519×C79C22semidirect
258. C4×#41×C79C22semidirect
1152. #3518D79semidirect
1159. C79#63065semidirect
1190. Q82C2×D79semidirect
1196. #556C2×D79semidirect
1197. #556C2×D79semidirect
1198. #556C2×D79semidirect
1199. #556C2×D79semidirect
1207. #555C2×D79semidirect
1255. D4×Q8C2×D79semidirect
1262. #548C2×D79semidirect
1296. #542C2×D79semidirect
1297. #542C2×D79semidirect
1346. #533C2×D79semidirect
1347. #533C2×D79semidirect
1369. #529C2×D79semidirect
1370. #529C2×D79semidirect
1384. #519C2×D79semidirect
1387. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780882
#237780662
#237780192
#237780102
#237779952
#237779652
#237779552
#237779312
#237778362
#237778162
#237778152
#237778002
#237777822
#237777522
#237777452
#237777122
#237776982
#237776162
#237775472
#237775392
#237775112
#237774672
#237773612
#237773222
#237773042
#237771422
#237771342
#237771142
C79×#35182
#6306579