Finite Group Databasebeta

← #35197295

Subgroups — #35197295

Order 20224.

7102 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777267C211yesmaximal, characteristic, complemented
2#23777262C211yesmaximal, characteristic, complemented
3#23777261C214yesmaximal, complemented
4#23777258C212yesmaximal, complemented
5#23777257C214yesmaximal, complemented
6#23777252C211yesmaximal, characteristic, complemented
7#23777251C212yesmaximal, complemented
8#23777248C214yesmaximal, complemented
9#23777244C214yesmaximal, complemented
10#23777116C214yesmaximal, complemented
11#23777115C214yesmaximal, complemented
12#23777111C214yesmaximal, complemented
13#23777104C214yesmaximal, complemented
14#23777102C214yesmaximal, complemented
15#23777101C214yesmaximal, complemented
16#23776811C214yesmaximal, complemented
17#23776807C214yesmaximal, complemented
18#23776803C211yesmaximal, characteristic, complemented
19#23776731C212yesmaximal, complemented
20#23776727C211yesmaximal, characteristic, complemented
21C2×#19099042C211yesmaximal, characteristic, complemented
22#520×D79C212yesmaximal, complemented
23C79×#3506C211yesmaximal, characteristic, complemented
24C22×#11929623C2211yescharacteristic
25C2×#41×D79C2212yes—
26#19099299C2212yescomplemented
27#19099299C2214yescomplemented
28#19099298C2212yescomplemented
29#19099296C2214yescomplemented
30#19099296C2214yescomplemented
31#19099295C2214yescomplemented
32#19099292C2212yescomplemented
33#19099291C2214yescomplemented
34#19099288C2212yescomplemented
35#19099287C2212yescomplemented
36#19099286C2214yescomplemented
37#19099285C2214yescomplemented
38#19099283C2212yescomplemented
39#19099283C2214yescomplemented
40#19099283C2212yescomplemented
41#19099282C2218yescomplemented
42#19099282C2214yescomplemented
43#19099282C2214yescomplemented
44#19099281C2214yescomplemented
45#19099280C2218yescomplemented
46#19099278C2212yescomplemented
47#19099277C2214yescomplemented
48#19099277C2218yescomplemented
49#19099275C2218yescomplemented
50#19099274C2212yescomplemented
51#19099272C2218yescomplemented
52#19099270C2212yescomplemented
53#19099268C2214yescomplemented
54#19099267C2218yescomplemented
55#19099265C2214yescomplemented
56#19099263C2214yescomplemented
57#19099262C2218yescomplemented
58#19099260C2214yescomplemented
59#19099258C2218yescomplemented
60#19099256C2218yescomplemented
61#19099256C2218yescomplemented
62#19099253C2214yescomplemented
63#19099252C2214yescomplemented
64#19099251C2214yescomplemented
65#19099250C2218yescomplemented
66#19099250C2218yescomplemented
67#19099249C2218yescomplemented
68#19099248C2214yescomplemented
69#19099246C2218yescomplemented
70#19099234C2212yescomplemented
71#19099233C2214yescomplemented
72#19099218C2212yescomplemented
73#19099213C2214yescomplemented
74#19099212C2218yescomplemented
75#19099211C2218yescomplemented
76#19099193C2212yescomplemented
77#19099193C2212yescomplemented
78#19099192C2212yescomplemented
79#19099192C2212yescomplemented
80#19099190C2212yescomplemented
81#19099190C2212yescomplemented
82#19099188C2212yes—
83#19099188C2212yes—
84#19099162C2214yescomplemented
85#19099159C2218yescomplemented
86#19099158C2214yescomplemented
87#19099156C2218yescomplemented
88#19099156C2218yescomplemented
89#19099155C2218yescomplemented
90#19099154C2218yescomplemented
91#19099151C2214yescomplemented
92#19099149C2218yescomplemented
93#19099148C2218yescomplemented
94#19099147C2218yescomplemented
95#19099145C2218yescomplemented
96#19099145C2218yescomplemented
97#19099142C2214yes—
98#19099142C2214yes—
99#19099140C2212yes—
100#19099140C2212yes—
101#19099139C2212yescomplemented
102#19099138C2212yescomplemented
103#19099134C2212yescomplemented
104#19099133C2212yescomplemented
105#19099133C2214yescomplemented
106#19099131C2212yescomplemented
107#19099130C2212yescomplemented
108#19099126C2212yescomplemented
109#19099126C2214yescomplemented
110#19099123C2218yes—
111#19099121C2212yes—
112#19099121C2212yes—
113#19099120C2211yescharacteristic, complemented
114#19099117C2214yescomplemented
115#19099117C2214yescomplemented
116#19099116C2212yescomplemented
117#19099113C2211yescharacteristic
118#19099112C2214yes—
119#19099111C2214yes—
120#19099109C2212yes—
121#19099099C2214yescomplemented
122#19099096C2218yescomplemented
123#19099095C2218yescomplemented
124#19099094C2214yescomplemented
125#19099093C2218yescomplemented
126#19099092C2218yescomplemented
127#19099091C2218yescomplemented
128#19099074C2214yescomplemented
129#19099073C2218yescomplemented
130#19099073C2214yescomplemented
131#19099073C2214yescomplemented
132#19099072C2218yescomplemented
133#19099072C2214yescomplemented
134#19099072C2214yescomplemented
135#19099071C2218yescomplemented
136#19099070C2218yescomplemented
137#19099069C2218yescomplemented
138#19099069C2218yescomplemented
139#19099046C2212yescomplemented
140#19099045C2214yescomplemented
141#19099044C2214yescomplemented
142#19099044C2212yescomplemented
143#19099043C2214yescomplemented
144#19099043C2212yescomplemented
145#19099042C2218yescomplemented
146#19099042C2214yescomplemented
147#19099042C2214yescomplemented
148#19099042C2214yescomplemented
149#19099042C2214yescomplemented
150#19099042C2214yescomplemented
151C2×C4×Dic158C2211yescharacteristic, complemented
152C2×#14579126C2211yescharacteristic, complemented
153C4×Q8×D79C2214yescomplemented
154C2×D4×Dic79C2211yescharacteristic, complemented
155C2×C4×C22⋊D79C2212yes—
156C2×(C22⋊D79)⋊C4C2212yes—
157C4×D4×D79C2218yes—
158C4×D4×D79C2214yescomplemented
159C2×#14579118C2211yescharacteristic
160C2×#14579117C2212yescomplemented
161#117×D79C2212yes—
162#117×D79C2214yescomplemented
163C22×Dic79⋊C4C2212yescomplemented
164C2×C4⋊C4×D79C2211yescharacteristic
165C2×C4⋊C4×D79C2214yescomplemented
166#559×C79C2214yescomplemented
167#556×C79C2212yescomplemented
168#555×C79C2212yescomplemented
169#553×C79C2214yescomplemented
170#550×C79C2212yescomplemented
171#547×C79C2212yescomplemented
172#538×C79C2214yescomplemented
173#535×C79C2212yescomplemented
174#533×C79C2211yescharacteristic, complemented
175#532×C79C2211yescharacteristic
176#525×C79C2214yescomplemented
177#520×C79C2212yescomplemented
178C2×C4×D4×C79C2211yescharacteristic, complemented
179C2×#11929625C2312yes—
180C2×#11929624C2312yes—
181C2×#11929624C2314yes—
182C2×#11929624C2314yes—
183C2×#11929623—28no—
184C2×#11929623C2314yes—
185C2×#11929623C2314yes—
186C2×#11929623C2312yes—
187C2×#11929623C2314yes—
188C2×#11929623C2318yes—
189#41×D79—216no—
190C22×Dic158C2311yescharacteristic
191C2×Q8×D79C2312yes—
192C22×C22⋊D79C2312yes—
193C2×D4×D79C2314yes—
194C2×D4×D79C2312yes—
195C23×Dic79C2312yes—
196C23×Dic79C2312yes—
197C22×C4×D79C2314yes—
198C22×C4×D79C2312yes—
199C22×C4×D79C2318yes—
200C22×C4×D79C2311yescharacteristic
201#14579161C2314yes—
202#14579161C2311yescharacteristic
203#14579161C2311yescharacteristic
204#14579161C2311yescharacteristic
205#14579160C2312yes—
206#14579160C2312yes—
207#14579160C2314yes—
208#14579160C2314yes—
209#14579159C2312yes—
210#14579159C2314yes—
211#14579159C2314yes—
212#14579159C2314yes—
213#14579158C2311yescharacteristic
214#14579157C2312yes—
215#14579157C2314yes—
216#14579156C2318yes—
217#14579156C2318yes—
218#14579156C2318yes—
219#14579155C2318yes—
220#14579154C2318yes—
221#14579154C2318yes—
222#14579154C2318yes—
223#14579154C2318yes—
224#14579154C2318yes—
225#14579154C2318yes—
226#14579154C2318yes—
227#14579153C2318yes—
228#14579153C2312yes—
229#14579152C2314yes—
230#14579152C2314yes—
231#14579152C2318yes—
232#14579152C2312yes—
233#14579152C2312yes—
234#14579151C2318yes—
235#14579151C2318yes—
236#14579151C2318yes—
237#14579151C2314yes—
238#14579151C2314yes—
239#14579151C2314yes—
240#14579151C2314yes—
241#14579150C2312yes—
242#14579150C2314yes—
243#14579149C2312yes—
244#14579149C2314yes—
245#14579148C2314yes—
246#14579148C2318yes—
247#14579148C2314yes—
248#14579148C2314yes—
249#14579148C2312yes—
250#14579147C2318yes—
251#14579147C2318yes—
252#14579147C2318yes—
253#14579146C2314yes—
254#14579146C2314yes—
255#14579146C2318yes—
256#14579145C2318yes—
257#14579145C2318yes—
258#14579144C2318yes—
259#14579144C2318yes—
260#14579143C2318yes—
261#14579143C2318yes—
262#14579143C2318yes—
263#14579143C2318yes—
264#14579143C2314yes—
265#14579143C2314yes—
266#14579143C2318yes—
267#14579142C2318yes—
268#14579142C2318yes—
269#14579142C2318yes—
270#14579142C2318yes—
271#14579141C2314yes—
272#14579141C2314yes—
273#14579141C2314yes—
274#14579141C2314yes—
275#14579140C2314yes—
276#14579140C2314yes—
277#14579140C2312yes—
278#14579140C2318yes—
279#14579140C2314yes—
280#14579140C2312yes—
281#14579139C2314yes—
282#14579139C2314yes—
283#14579139C2314yes—
284#14579139C2314yes—
285#14579139C2318yes—
286#14579139C2314yes—
287#14579139C2314yes—
288#14579138C2314yes—
289#14579138C2314yes—
290#14579138C2318yes—
291#14579138C2318yes—
292#14579138C2314yes—
293#14579138C2318yes—
294#14579138C2314yes—
295#14579138C2318yes—
296#14579137C2314yes—
297#14579137C2314yes—
298#14579137C2318yes—
299#14579135C2312yes—
300#14579135C2312yes—
301#14579135C2314yes—
302#14579134C2314yes—
303#14579134C2314yes—
304#14579134C2318yes—
305#14579134C2318yes—
306#14579134C2318yes—
307#14579133C2314yes—
308#14579133C2314yes—
309#14579133C2314yes—
310#14579133C2314yes—
311#14579133C2318yes—
312#14579133C2318yes—
313#14579133C2318yes—
314#14579133C2318yes—
315#14579132C2318yes—
316#14579132C2318yes—
317#14579132C2314yes—
318#14579132C2314yes—
319#14579132C2318yes—
320#14579131C2314yes—
321#14579131C2314yes—
322#14579130C2318yes—
323#14579129C2314yes—
324#14579129C2314yes—
325#14579129C2318yes—
326#14579129C2318yes—
327Q8×Dic79C2314yes—
328Q8×Dic79C2314yes—
329C4×Dic158C2314yes—
330C4×Dic158C2312yes—
331C4×Dic158C2318yes—
332C4×Dic158C2312yes—
333C4×Dic158C2312yes—
334C4×Dic158C2318yes—
335C4×Dic158C2314yes—
336C4×Dic158C2312yes—
337C4×Dic158C2312yes—
338C4×Dic158C2312yes—
339C4×Dic158C2314yes—
340#14579126C2314yes—
341#14579126C2318yes—
342#14579126C2314yes—
343#14579126C2314yes—
344#14579126C2314yes—
345C4×D316C2318yes—
346C4×D316C2312yes—
347C4×D316C2314yes—
348C4×D316C2312yes—
349D4×Dic79C2318yes—
350D4×Dic79C2318yes—
351D4×Dic79C2314yes—
352D4×Dic79C2314yes—
353D4×Dic79C2314yes—
354D4×Dic79C2314yes—
355D4×Dic79C2318yes—
356D4×Dic79C2318yes—
357#14579123C2318yes—
358#14579123C2314yes—
359#14579123C2314yes—
360C4×C22⋊D79C2318yes—
361C4×C22⋊D79C2318yes—
362C4×C22⋊D79C2318yes—
363C4×C22⋊D79C2318yes—
364C4×C22⋊D79C2318yes—
365C4×C22⋊D79C2314yes—
366C4×C22⋊D79C2318yes—
367C4×C22⋊D79C2318yes—
368C4×C22⋊D79C2314yes—
369(C22⋊D79)⋊C4C2318yes—
370(C22⋊D79)⋊C4C2318yes—
371(C22⋊D79)⋊C4C2318yes—
372(C22⋊D79)⋊C4C2318yes—
373(C22⋊D79)⋊C4C2318yes—
374(C22⋊D79)⋊C4C2318yes—
375(C22⋊D79)⋊C4C2318yes—
376(C22⋊D79)⋊C4C2318yes—
377#14579120C2318yes—
378#14579120C2314yes—
379#14579120C2314yes—
380#14579120C2312yes—
381#14579119C2312yes—
382#14579119C2312yes—
383#14579119C2314yes—
384#14579119C2318yes—
385#14579119C2314yes—
386#14579118C2312yes—
387#14579118C2312yes—
388#14579118C2312yes—
389#14579118C2318yes—
390#14579118C2318yes—
391#14579118C2314yes—
392#14579118C2312yes—
393#14579117C2314yes—
394#14579117C2318yes—
395#14579117C2318yes—
396#14579117C2318yes—
397#14579117C2318yes—
398#14579117C2318yes—
399C2×C4⋊Dic79C2314yes—
400C2×C4⋊Dic79C2311yescharacteristic
401C2×Dic79⋊C4C2311yescharacteristic
402C2×Dic79⋊C4C2311yescharacteristic
403C2×Dic79⋊C4C2312yes—
404C2×Dic79⋊C4C2312yes—
405C2×Dic79⋊C4C2318yes—
406C2×Dic79⋊C4C2318yes—
407C2×Dic79⋊C4C2318yes—
408C2×Dic79⋊C4C2312yes—
409C4⋊C4×D79C2312yes—
410C4⋊C4×D79C2312yes—
411C4⋊C4×D79C2318yes—
412C4⋊C4×D79C2318yes—
413C4⋊C4×D79C2314yes—
414C4⋊C4×D79C2314yes—
415C4⋊C4×D79C2314yes—
416C4⋊C4×D79C2314yes—
417C2×C22⋊Dic79C2312yes—
418C2×(C2×D79)⋊C4C2311yescharacteristic
419C2×(C2×D79)⋊C4C2311yescharacteristic
420C22⋊C4×D79C2318yes—
421C22⋊C4×D79C2314yes—
422C2×C4×Dic79C2312yes—
423C2×C4×Dic79C2312yes—
424C2×C4×Dic79C2311yescharacteristic
425C42×D79C2314yes—
426C42×D79C2318yes—
427C2×#41×C79C2312yes—
428C2×#41×C79C2314yes—
429C22×D4×C79C2311yescharacteristic
430C23×C4×C79C2312yes—
431C4⋊Q8×C79C2311yescharacteristic
432C4⋊Q8×C79C2311yescharacteristic
433C4⋊Q8×C79C2311yescharacteristic
434#127×C79C2314yes—
435#127×C79C2311yescharacteristic
436#126×C79C2318yes—
437#125×C79C2312yes—
438#124×C79C2318yes—
439#124×C79C2312yes—
440#124×C79C2314yes—
441#123×C79C2318yes—
442#123×C79C2318yes—
443C22⋊Q8×C79C2314yes—
444C22⋊Q8×C79C2312yes—
445C22⋊Q8×C79C2312yes—
446#121×C79C2312yes—
447#121×C79C2312yes—
448#121×C79C2314yes—
449#121×C79C2314yes—
450#121×C79C2314yes—
451#121×C79C2318yes—
452#120×C79C2318yes—
453C4×Q8×C79C2314yes—
454C4×Q8×C79C2312yes—
455C4×Q8×C79C2312yes—
456C4×D4×C79C2318yes—
457C4×D4×C79C2312yes—
458C4×D4×C79C2312yes—
459C4×D4×C79C2312yes—
460C4×D4×C79C2312yes—
461C4×D4×C79C2314yes—
462C4×D4×C79C2318yes—
463C4×D4×C79C2312yes—
464C4×D4×C79C2312yes—
465#117×C79C2312yes—
466#117×C79C2314yes—
467#117×C79C2314yes—
468C2×C4⋊C4×C79C2311yescharacteristic
469C2×C4⋊C4×C79C2314yes—
470C2×C22⋊C4×C79C2312yes—
471C2×C42×C79C2311yescharacteristic
472C23×D79C2414yes—
473C23×D79C2411yescharacteristic
474#11929625—28no—
475#11929624—216no—
476#11929624—28no—
477#11929624—84no—
478#11929623—216no—
479#11929623—28no—
480#11929623—216no—
481#11929623—216no—
482#11929623—88no—
483C2×Dic158—24no—
484C2×Dic158C2414yes—
485C2×Dic158C2412yes—
486C2×Dic158C2412yes—
487C2×Dic158C2412yes—
488C2×Dic158C2414yes—
489C2×Dic158C2412yes—
490C2×Dic158C2412yes—
491C2×Dic158C2414yes—
492Q8×D79—28no—
493C2×D316C2414yes—
494C2×D316C2412yes—
495C2×D316C2412yes—
496C2×D316C2412yes—
497C2×C22⋊D79—28no—
498C2×C22⋊D79C2418yes—
499C2×C22⋊D79C2414yes—
500C2×C22⋊D79C2414yes—
501C2×C22⋊D79C2414yes—
502C2×C22⋊D79C2414yes—
503C2×C22⋊D79C2418yes—
504C2×C22⋊D79C2418yes—
505C2×C22⋊D79C2414yes—
506D4×D79—28no—
507D4×D79—216no—
508C22×Dic79—28no—
509C22×Dic79—82no—
510C22×Dic79C2412yes—
511C22×Dic79C2418yes—
512C22×Dic79C2414yes—
513C22×Dic79C2418yes—
514C22×Dic79C2418yes—
515C22×Dic79C2411yescharacteristic
516C22×Dic79C2411yescharacteristic
517C22×Dic79C2412yes—
518C22×Dic79C2411yescharacteristic
519C2×C4×D79—216no—
520C2×C4×D79—82no—
521C2×C4×D79—88no—
522C2×C4×D79#4118yescomplemented
523C2×C4×D79C2414yes—
524C2×C4×D79C2414yes—
525C2×C4×D79C2414yes—
526C2×C4×D79C2418yes—
527C2×C4×D79C2418yes—
528C2×C4×D79C2414yes—
529C2×C4×D79C2418yes—
530C2×C4×D79C2414yes—
531C2×C4×D79C2412yes—
532C2×C4×D79C2412yes—
533C4⋊Dic79C2412yes—
534C4⋊Dic79C2412yes—
535C4⋊Dic79C2412yes—
536C4⋊Dic79C2418yes—
537C4⋊Dic79C2412yes—
538C4⋊Dic79C2418yes—
539C4⋊Dic79C2412yes—
540C4⋊Dic79C2414yes—
541C4⋊Dic79C2412yes—
542C4⋊Dic79C2414yes—
543C4⋊Dic79C2412yes—
544C4⋊Dic79C2418yes—
545C4⋊Dic79C2412yes—
546Dic79⋊C4C2418yes—
547Dic79⋊C4C2414yes—
548Dic79⋊C4C2418yes—
549Dic79⋊C4C2418yes—
550Dic79⋊C4C2414yes—
551Dic79⋊C4C2412yes—
552Dic79⋊C4C2412yes—
553Dic79⋊C4C2418yes—
554Dic79⋊C4C2414yes—
555Dic79⋊C4C2414yes—
556Dic79⋊C4C2412yes—
557Dic79⋊C4C2412yes—
558Dic79⋊C4C2414yes—
559Dic79⋊C4C2414yes—
560Dic79⋊C4C2414yes—
561Dic79⋊C4C2418yes—
562Dic79⋊C4C2414yes—
563Dic79⋊C4C2414yes—
564Dic79⋊C4C2418yes—
565Dic79⋊C4C2414yes—
566Dic79⋊C4C2414yes—
567Dic79⋊C4C2414yes—
568C22⋊Dic79C2414yes—
569C22⋊Dic79C2418yes—
570C22⋊Dic79C2418yes—
571C22⋊Dic79C2418yes—
572C22⋊Dic79C2418yes—
573C22⋊Dic79C2414yes—
574C22⋊Dic79C2418yes—
575C22⋊Dic79C2414yes—
576C22⋊Dic79C2418yes—
577(C2×D79)⋊C4C2414yes—
578(C2×D79)⋊C4C2418yes—
579(C2×D79)⋊C4C2414yes—
580(C2×D79)⋊C4C2418yes—
581(C2×D79)⋊C4C2412yes—
582(C2×D79)⋊C4C2412yes—
583(C2×D79)⋊C4C2412yes—
584(C2×D79)⋊C4C2412yes—
585(C2×D79)⋊C4C2414yes—
586(C2×D79)⋊C4C2418yes—
587(C2×D79)⋊C4C2414yes—
588(C2×D79)⋊C4C2414yes—
589(C2×D79)⋊C4C2418yes—
590(C2×D79)⋊C4C2414yes—
591C4×Dic79C2418yes—
592C4×Dic79C2418yes—
593C4×Dic79C2418yes—
594C4×Dic79C2414yes—
595C4×Dic79C2414yes—
596C4×Dic79C2414yes—
597C4×Dic79C2414yes—
598C4×Dic79C2418yes—
599C4×Dic79C2414yes—
600C4×Dic79C2412yes—
601C4×Dic79C2412yes—
602C24×C79C2412yes—
603#41×C79—28no—
604#41×C79—84no—
605C2×Q8×C79C2412yes—
606C2×Q8×C79C2412yes—
607C2×Q8×C79C2412yes—
608C2×D4×C79—24no—
609C2×D4×C79C2412yes—
610C2×D4×C79C2412yes—
611C2×D4×C79C2414yes—
612C2×D4×C79C2412yes—
613C2×D4×C79C2418yes—
614C2×D4×C79C2418yes—
615C2×D4×C79C2412yes—
616C2×D4×C79C2412yes—
617C22×C4×C79—82no—
618C22×C4×C79C2414yes—
619C22×C4×C79C2414yes—
620C22×C4×C79C2411yescharacteristic
621C22×C4×C79C2411yescharacteristic
622C22×C4×C79C2412yes—
623C22×C4×C79C2418yes—
624C22×C4×C79C2414yes—
625C22×C4×C79C2411yescharacteristic
626C4⋊C4×C79C2412yes—
627C4⋊C4×C79C2412yes—
628C4⋊C4×C79C2412yes—
629C4⋊C4×C79C2418yes—
630C4⋊C4×C79C2412yes—
631C4⋊C4×C79C2412yes—
632C4⋊C4×C79C2412yes—
633C4⋊C4×C79C2414yes—
634C4⋊C4×C79C2412yes—
635C4⋊C4×C79C2414yes—
636C4⋊C4×C79C2412yes—
637C22⋊C4×C79C2414yes—
638C22⋊C4×C79C2414yes—
639C22⋊C4×C79C2414yes—
640C22⋊C4×C79C2418yes—
641C22⋊C4×C79C2418yes—
642C22⋊C4×C79C2414yes—
643C22⋊C4×C79C2418yes—
644C22⋊C4×C79C2414yes—
645C42×C79C2411yescharacteristic
646C42×C79C2411yescharacteristic
647C42×C79C2411yescharacteristic
648C42×C79C2411yescharacteristic
649C42×C79C2418yes—
650C42×C79C2414yes—
651C23×C79—24no—
652C23×C79—42no—
653C23×C79—42no—
654C23×C79C2514yes—
655C23×C79C2514yes—
656C23×C79C2511yescharacteristic
657C22×D79—28no—
658C22×D79—41no—
659C22×D79—44no—
660C22×D79—41no—
661C22×D79—44no—
662C22×D79C2×#4114yes—
663C22×D79C2514yes—
664C22×D79C2512yes—
665Q8×C79—24no—
666Q8×C79—42no—
667Q8×C79—42no—
668D4×C79—28no—
669D4×C79—24no—
670D4×C79—24no—
671D4×C79—24no—
672D4×C79—48no—
673D4×C79—42no—
674D4×C79—48no—
675D4×C79—42no—
676C2×C4×C79—28no—
677C2×C4×C79—42no—
678C2×C4×C79—48no—
679C2×C4×C79—44no—
680C2×C4×C79—41no—
681C2×C4×C79—44no—
682C2×C4×C79—41no—
683C2×C4×C79C2×#4114yes—
684C2×C4×C79C2511yescharacteristic
685C2×C4×C79C2511yescharacteristic
686C2×C4×C79C2514yes—
687C2×C4×C79C2514yes—
688C2×C4×C79C2514yes—
689C2×C4×C79C2514yes—
690C2×C4×C79C2511yescharacteristic
691C2×C4×C79C2511yescharacteristic
692C2×C4×C79C2511yescharacteristic
693C2×C4×C79C2511yescharacteristic
694C22⋊D79—28no—
695C22⋊D79—28no—
696C22⋊D79—216no—
697C22⋊D79—28no—
698C22⋊D79—48no—
699C22⋊D79—44no—
700C22⋊D79—44no—
701C22⋊D79—48no—
702C2×Dic79—24no—
703C2×Dic79—28no—
704C2×Dic79—216no—
705C2×Dic79—42no—
706C2×Dic79—48no—
707C2×Dic79—41no—
708C2×Dic79—48no—
709C2×Dic79—41no—
710C2×Dic79C2×#4114yes—
711C2×Dic79C2512yes—
712C2×Dic79C2514yes—
713C2×Dic79C2514yes—
714C2×Dic79C2514yes—
715C2×Dic79C2514yes—
716C2×Dic79C2512yes—
717C2×Dic79C2514yes—
718C2×Dic79C2512yes—
719D316—28no—
720D316—24no—
721D316—42no—
722D316—42no—
723C4×D79—28no—
724C4×D79—28no—
725C4×D79—28no—
726C4×D79—44no—
727C4×D79—48no—
728C4×D79—48no—
729C4×D79—48no—
730C4×D79—44no—
731C4×D79C2×#4118yes—
732C4×D79C2×#4118yes—
733Dic158—24no—
734Dic158—24no—
735Dic158—24no—
736Dic158—28no—
737Dic158—42no—
738Dic158—44no—
739Dic158—44no—
740Dic158—42no—
741C22×C79—21no—
742C22×C79—21no—
743C22×C79—24no—
744C22×C79—24no—
745C22×C79—24no—
746C22×C79—24no—
747C22×C79—24no—
748C22×C79—24no—
749C22×C79—48no—
750C22×C79C22×#4112yes—
751C22×C79C2611yescharacteristic
752C2×D79—22no—
753C2×D79—22no—
754C2×D79—24no—
755C2×D79—24no—
756C2×D79—24no—
757C2×D79—44no—
758C2×D79—416no—
759C2×D79C22×#4114yes—
760C4×C79—24no—
761C4×C79—21no—
762C4×C79—21no—
763C4×C79—24no—
764C4×C79—24no—
765C4×C79—21no—
766C4×C79—21no—
767C4×C79—24no—
768C4×C79C22×#4112yes—
769C4×C79C22×#4112yes—
770Dic79—24no—
771Dic79—24no—
772Dic79—24no—
773Dic79—22no—
774Dic79—24no—
775Dic79—24no—
776Dic79—22no—
777Dic79C22×#4114yes—
778#62845—791nomaximal, Sylow
779C2×C79—22no—
780C2×C79—44no—
781C2×C79—44no—
782C2×C79C23×#4111yescharacteristic
783C2×C79H(7,𝔽2)11yescharacteristic
784C2×C792−1+611yescharacteristic
785D79—24no—
786D79—44no—
787#3507—794no—
788#3507—794no—
789#3507—791no—
790#3507—791no—
791#3507—792no—
792#3506—794no—
793#3506—794no—
794#3506—792no—
795#3506—791no—
796#3506D7911yescharacteristic, complemented
797#3493—794no—
798#3493—794no—
799#3493—794no—
800#3492—794no—
801#3492—794no—
802#3492—794no—
803#3459—794no—
804#3459—794no—
805#3458—791no—
806#3449—792no—
807#3449—791no—
808C2×#520—792no—
809C2×#520—791no—
810C79#6284511yescharacteristic, complemented, Sylow
811C22×#41—792no—
812C22×#41—791no—
813#559—794no—
814#559—792no—
815#559—794no—
816#559—792no—
817#559—794no—
818#559—794no—
819#559C2×D7914yescomplemented
820#557—792no—
821#557—794no—
822#557—792no—
823#556—792no—
824#556—798no—
825#556—798no—
826#556—794no—
827#556—794no—
828#556—794no—
829#556—794no—
830#556—792no—
831#556—794no—
832#556—792no—
833#556—794no—
834#556C2×D7912yescomplemented
835#555—798no—
836#555—794no—
837#555—798no—
838#555—792no—
839#555C2×D7912yescomplemented
840#554—792no—
841#554—798no—
842#554—792no—
843#554—798no—
844#554—794no—
845#553—798no—
846#553—798no—
847#553—798no—
848#553—794no—
849#553—794no—
850#553—798no—
851#553—794no—
852#553C2×D7914yescomplemented
853#552—798no—
854#552—794no—
855#552—798no—
856#552—798no—
857#552—794no—
858#552—798no—
859#552—794no—
860#552—794no—
861#550—794no—
862#550—792no—
863#550C2×D7912yescomplemented
864#547—798no—
865#547—798no—
866#547—794no—
867#547—792no—
868#547C2×D7912yescomplemented
869#544—792no—
870#544—792no—
871#544—792no—
872#544—792no—
873#544—792no—
874#544—792no—
875#543—792no—
876#543—792no—
877#539—798no—
878#539—798no—
879#539—798no—
880#539—798no—
881#539—794no—
882#539—794no—
883#539—798no—
884#538—798no—
885#538—798no—
886#538—798no—
887#538—798no—
888#538—798no—
889#538—794no—
890#538C2×D7914yescomplemented
891#537—792no—
892#537—792no—
893#537—794no—
894#537—794no—
895#536—792no—
896#536—792no—
897#536—794no—
898#536—792no—
899#536—792no—
900#535—792no—
901#535—794no—
902#535—792no—
903#535—792no—
904#535C2×D7912yescomplemented
905#534—792no—
906#534—792no—
907#534—798no—
908#533—794no—
909#533—794no—
910#533—792no—
911#533—791no—
912#533C2×D7911yescharacteristic, complemented
913#532—792no—
914#532—794no—
915#532—794no—
916#532—791no—
917#532C2×D7911yescharacteristic
918#529—798no—
919#529—798no—
920#529—794no—
921#529—794no—
922#529—798no—
923#529—798no—
924#529—798no—
925#525—798no—
926#525—794no—
927#525—798no—
928#525—794no—
929#525—794no—
930#525—798no—
931#525—798no—
932#525—798no—
933#525—794no—
934#525—794no—
935#525—798no—
936#525C2×D7914yescomplemented
937#520—792no—
938#520—794no—
939#520—798no—
940#520—794no—
941#520—794no—
942#520—794no—
943#520—794no—
944#520—794no—
945#520—794no—
946#520—792no—
947#520—794no—
948#520—792no—
949#520C2×D7912yescomplemented
950C2×C4×Q8—794no—
951C2×C4×Q8—791no—
952C2×C4×Q8—791no—
953C2×C4×D4—791no—
954C2×C4×D4—792no—
955C2×C4×D4—798no—
956C2×C4×D4—794no—
957C2×C4×D4—792no—
958C2×C4×D4C2×D7911yescharacteristic, complemented
959C2×#117—792no—
960C2×#117—794no—
961C2×#117—792no—
962C2×#117—791no—
963C22×C4⋊C4—792no—
964C22×C4⋊C4—791no—
965C22×C4⋊C4—794no—
966C2×#41—792no—
967C2×#41—798no—
968C2×#41—794no—
969C2×#41—794no—
970C2×#41—792no—
971C2×#41—794no—
972C2×#41—794no—
973C2×#41—794no—
974C2×#41—792no—
975C2×#41—1588no—
976C2×#41—15816no—
977C2×#41C22×D7912yes—
978C2×#41C22×D7914yes—
979C22×Q8—792no—
980C22×Q8—791no—
981C22×D4—792no—
982C22×D4—794no—
983C22×D4—792no—
984C22×D4C22×D7911yescharacteristic
985C23×C4—791no—
986C23×C4—792no—
987C23×C4—792no—
988C23×C4—792no—
989C23×C4—798no—
990C23×C4—794no—
991C23×C4C22×D7912yes—
992C4⋊Q8—792no—
993C4⋊Q8—794no—
994C4⋊Q8—794no—
995C4⋊Q8—794no—
996C4⋊Q8—794no—
997C4⋊Q8—792no—
998C4⋊Q8—794no—
999C4⋊Q8—792no—
1000C4⋊Q8—794no—
1001C4⋊Q8—791no—
1002C4⋊Q8—791no—
1003C4⋊Q8—791no—
1004C4⋊Q8C22×D7911yescharacteristic
1005C4⋊Q8C22×D7911yescharacteristic
1006C4⋊Q8C22×D7911yescharacteristic
1007#127—792no—
1008#127—794no—
1009#127—791no—
1010#127C22×D7914yes—
1011#127C22×D7911yescharacteristic
1012#126—798no—
1013#126—798no—
1014#126—798no—
1015#126—798no—
1016#126—798no—
1017#126—798no—
1018#126—798no—
1019#126—798no—
1020#126—798no—
1021#126—798no—
1022#126—798no—
1023#126C22×D7918yes—
1024#125—798no—
1025#125—798no—
1026#125—798no—
1027#125—794no—
1028#125—798no—
1029#125—794no—
1030#125—794no—
1031#125—794no—
1032#125—794no—
1033#125—794no—
1034#125—792no—
1035#125—792no—
1036#125—798no—
1037#125—792no—
1038#125C22×D7912yes—
1039#124—794no—
1040#124—792no—
1041#124—794no—
1042#124—798no—
1043#124—792no—
1044#124—794no—
1045#124—794no—
1046#124—798no—
1047#124—798no—
1048#124—798no—
1049#124—794no—
1050#124—792no—
1051#124C22×D7918yes—
1052#124C22×D7914yes—
1053#124C22×D7912yes—
1054#123—798no—
1055#123—798no—
1056#123—798no—
1057#123—798no—
1058#123—798no—
1059#123—798no—
1060#123—794no—
1061#123—794no—
1062#123—798no—
1063#123—798no—
1064#123—794no—
1065#123—794no—
1066#123—798no—
1067#123—798no—
1068#123—798no—
1069#123—798no—
1070#123—798no—
1071#123—798no—
1072#123C22×D7918yes—
1073#123C22×D7918yes—
1074C22⋊Q8—794no—
1075C22⋊Q8—798no—
1076C22⋊Q8—794no—
1077C22⋊Q8—792no—
1078C22⋊Q8—794no—
1079C22⋊Q8—794no—
1080C22⋊Q8—794no—
1081C22⋊Q8—798no—
1082C22⋊Q8—792no—
1083C22⋊Q8—794no—
1084C22⋊Q8—794no—
1085C22⋊Q8—794no—
1086C22⋊Q8—794no—
1087C22⋊Q8—794no—
1088C22⋊Q8—794no—
1089C22⋊Q8—794no—
1090C22⋊Q8—798no—
1091C22⋊Q8—794no—
1092C22⋊Q8—794no—
1093C22⋊Q8—794no—
1094C22⋊Q8—794no—
1095C22⋊Q8—798no—
1096C22⋊Q8—794no—
1097C22⋊Q8—794no—
1098C22⋊Q8—798no—
1099C22⋊Q8—798no—
1100C22⋊Q8—798no—
1101C22⋊Q8—794no—
1102C22⋊Q8C22×D7912yes—
1103C22⋊Q8C22×D7914yes—
1104C22⋊Q8C22×D7912yes—
1105#121—798no—
1106#121—794no—
1107#121—794no—
1108#121—798no—
1109#121—794no—
1110#121—794no—
1111#121—794no—
1112#121—798no—
1113#121—798no—
1114#121—798no—
1115#121—798no—
1116#121—798no—
1117#121—794no—
1118#121—792no—
1119#121—794no—
1120#121—792no—
1121#121—798no—
1122#121—794no—
1123#121—794no—
1124#121—798no—
1125#121—798no—
1126#121C22×D7914yes—
1127#121C22×D7914yes—
1128#121C22×D7918yes—
1129#121C22×D7912yes—
1130#121C22×D7914yes—
1131#121C22×D7912yes—
1132#120—798no—
1133#120—798no—
1134#120—794no—
1135#120—794no—
1136#120—798no—
1137#120—794no—
1138#120—794no—
1139#120C22×D7918yes—
1140C4×Q8—794no—
1141C4×Q8—794no—
1142C4×Q8—798no—
1143C4×Q8—794no—
1144C4×Q8—794no—
1145C4×Q8—794no—
1146C4×Q8—794no—
1147C4×Q8—792no—
1148C4×Q8—792no—
1149C4×Q8—798no—
1150C4×Q8—794no—
1151C4×Q8—792no—
1152C4×Q8—792no—
1153C4×Q8—798no—
1154C4×Q8—794no—
1155C4×Q8—792no—
1156C4×Q8—794no—
1157C4×Q8—792no—
1158C4×Q8C22×D7914yes—
1159C4×Q8C22×D7912yes—
1160C4×Q8C22×D7912yes—
1161C4×D4—798no—
1162C4×D4—794no—
1163C4×D4—794no—
1164C4×D4—794no—
1165C4×D4—794no—
1166C4×D4—798no—
1167C4×D4—798no—
1168C4×D4—798no—
1169C4×D4—798no—
1170C4×D4—798no—
1171C4×D4—798no—
1172C4×D4—798no—
1173C4×D4—798no—
1174C4×D4—798no—
1175C4×D4—798no—
1176C4×D4—794no—
1177C4×D4—794no—
1178C4×D4—798no—
1179C4×D4—794no—
1180C4×D4—794no—
1181C4×D4—798no—
1182C4×D4—798no—
1183C4×D4—798no—
1184C4×D4—798no—
1185C4×D4—798no—
1186C4×D4—798no—
1187C4×D4—798no—
1188C4×D4—798no—
1189C4×D4—798no—
1190C4×D4—794no—
1191C4×D4—792no—
1192C4×D4—792no—
1193C4×D4C22×D7918yes—
1194C4×D4C22×D7914yes—
1195C4×D4C22×D7912yes—
1196C4×D4C22×D7912yes—
1197C4×D4C22×D7912yes—
1198C4×D4C22×D7912yes—
1199C4×D4C22×D7912yes—
1200C4×D4C22×D7912yes—
1201C4×D4C22×D7918yes—
1202#117—792no—
1203#117—794no—
1204#117—794no—
1205#117—798no—
1206#117—792no—
1207#117—792no—
1208#117—794no—
1209#117—794no—
1210#117—798no—
1211#117—794no—
1212#117—798no—
1213#117—798no—
1214#117—798no—
1215#117—798no—
1216#117—798no—
1217#117—792no—
1218#117—792no—
1219#117—794no—
1220#117—792no—
1221#117—792no—
1222#117—798no—
1223#117—798no—
1224#117C22×D7912yes—
1225#117C22×D7914yes—
1226#117C22×D7914yes—
1227C2×C4⋊C4—792no—
1228C2×C4⋊C4—791no—
1229C2×C4⋊C4—791no—
1230C2×C4⋊C4—792no—
1231C2×C4⋊C4—792no—
1232C2×C4⋊C4—798no—
1233C2×C4⋊C4—798no—
1234C2×C4⋊C4—798no—
1235C2×C4⋊C4—794no—
1236C2×C4⋊C4—791no—
1237C2×C4⋊C4—794no—
1238C2×C4⋊C4—792no—
1239C2×C4⋊C4—794no—
1240C2×C4⋊C4—798no—
1241C2×C4⋊C4—798no—
1242C2×C4⋊C4—794no—
1243C2×C4⋊C4—794no—
1244C2×C4⋊C4—792no—
1245C2×C4⋊C4C22×D7911yescharacteristic
1246C2×C4⋊C4C22×D7914yes—
1247C2×C22⋊C4—792no—
1248C2×C22⋊C4—791no—
1249C2×C22⋊C4—791no—
1250C2×C22⋊C4—794no—
1251C2×C22⋊C4—798no—
1252C2×C22⋊C4C22×D7912yes—
1253C2×C42—792no—
1254C2×C42—792no—
1255C2×C42—791no—
1256C2×C42—798no—
1257C2×C42—794no—
1258C2×C42C22×D7911yescharacteristic
1259C24—791no—
1260C24—794no—
1261C24C23×D7912yes—
1262#41—28no—
1263#41—84no—
1264#41—6324no—
1265#41—6328no—
1266#41—15816no—
1267#41—15816no—
1268#41—15816no—
1269#41—15816no—
1270#41—1588no—
1271#41—1588no—
1272#41—1588no—
1273C2×Q8—792no—
1274C2×Q8—794no—
1275C2×Q8—794no—
1276C2×Q8—792no—
1277C2×Q8—794no—
1278C2×Q8—792no—
1279C2×Q8—792no—
1280C2×Q8—792no—
1281C2×Q8—1588no—
1282C2×Q8—1584no—
1283C2×Q8C23×D7912yes—
1284C2×Q8C23×D7912yes—
1285C2×Q8C23×D7912yes—
1286C2×D4—24no—
1287C2×D4—794no—
1288C2×D4—798no—
1289C2×D4—794no—
1290C2×D4—798no—
1291C2×D4—794no—
1292C2×D4—798no—
1293C2×D4—794no—
1294C2×D4—794no—
1295C2×D4—792no—
1296C2×D4—792no—
1297C2×D4—794no—
1298C2×D4—792no—
1299C2×D4—1588no—
1300C2×D4—15816no—
1301C2×D4—1588no—
1302C2×D4C23×D7914yes—
1303C2×D4C23×D7912yes—
1304C2×D4C23×D7912yes—
1305C2×D4C23×D7912yes—
1306C2×D4C23×D7912yes—
1307C2×D4C23×D7918yes—
1308C2×D4C23×D7918yes—
1309C2×D4C23×D7912yes—
1310C22×C4—82no—
1311C22×C4—791no—
1312C22×C4—792no—
1313C22×C4—791no—
1314C22×C4—798no—
1315C22×C4—798no—
1316C22×C4—794no—
1317C22×C4—798no—
1318C22×C4—794no—
1319C22×C4—798no—
1320C22×C4—798no—
1321C22×C4—791no—
1322C22×C4—798no—
1323C22×C4—792no—
1324C22×C4—792no—
1325C22×C4—792no—
1326C22×C4—794no—
1327C22×C4—798no—
1328C22×C4—794no—
1329C22×C4—794no—
1330C22×C4—794no—
1331C22×C4—6322no—
1332C22×C4—6328no—
1333C22×C4—6322no—
1334C22×C4—15816no—
1335C22×C4—1588no—
1336C22×C4C23×D7914yes—
1337C22×C4C23×D7911yescharacteristic
1338C22×C4C23×D7912yes—
1339C22×C4C23×D7911yescharacteristic
1340C22×C4C23×D7914yes—
1341C22×C4C23×D7914yes—
1342C22×C4C23×D7918yes—
1343C22×C4C23×D7911yescharacteristic
1344C4⋊C4—798no—
1345C4⋊C4—794no—
1346C4⋊C4—792no—
1347C4⋊C4—792no—
1348C4⋊C4—798no—
1349C4⋊C4—794no—
1350C4⋊C4—794no—
1351C4⋊C4—798no—
1352C4⋊C4—798no—
1353C4⋊C4—792no—
1354C4⋊C4—792no—
1355C4⋊C4—794no—
1356C4⋊C4—794no—
1357C4⋊C4—798no—
1358C4⋊C4—794no—
1359C4⋊C4—794no—
1360C4⋊C4—794no—
1361C4⋊C4—794no—
1362C4⋊C4—794no—
1363C4⋊C4—794no—
1364C4⋊C4—798no—
1365C4⋊C4—794no—
1366C4⋊C4—792no—
1367C4⋊C4—792no—
1368C4⋊C4—792no—
1369C4⋊C4—798no—
1370C4⋊C4—792no—
1371C4⋊C4—798no—
1372C4⋊C4—792no—
1373C4⋊C4—794no—
1374C4⋊C4—792no—
1375C4⋊C4—792no—
1376C4⋊C4—794no—
1377C4⋊C4—792no—
1378C4⋊C4—798no—
1379C4⋊C4C23×D7912yes—
1380C4⋊C4C23×D7912yes—
1381C4⋊C4C23×D7912yes—
1382C4⋊C4C23×D7918yes—
1383C4⋊C4C23×D7912yes—
1384C4⋊C4C23×D7914yes—
1385C4⋊C4C23×D7912yes—
1386C4⋊C4C23×D7912yes—
1387C4⋊C4C23×D7912yes—
1388C4⋊C4C23×D7914yes—
1389C4⋊C4C23×D7912yes—
1390C22⋊C4—794no—
1391C22⋊C4—798no—
1392C22⋊C4—798no—
1393C22⋊C4—798no—
1394C22⋊C4—794no—
1395C22⋊C4—798no—
1396C22⋊C4—798no—
1397C22⋊C4—794no—
1398C22⋊C4—798no—
1399C22⋊C4—794no—
1400C22⋊C4—792no—
1401C22⋊C4—792no—
1402C22⋊C4—792no—
1403C22⋊C4—792no—
1404C22⋊C4—794no—
1405C22⋊C4—798no—
1406C22⋊C4—798no—
1407C22⋊C4—794no—
1408C22⋊C4—794no—
1409C22⋊C4—798no—
1410C22⋊C4—798no—
1411C22⋊C4—794no—
1412C22⋊C4—794no—
1413C22⋊C4C23×D7914yes—
1414C22⋊C4C23×D7918yes—
1415C22⋊C4C23×D7914yes—
1416C22⋊C4C23×D7914yes—
1417C22⋊C4C23×D7914yes—
1418C22⋊C4C23×D7918yes—
1419C22⋊C4C23×D7918yes—
1420C22⋊C4C23×D7914yes—
1421C42—798no—
1422C42—798no—
1423C42—798no—
1424C42—794no—
1425C42—794no—
1426C42—798no—
1427C42—794no—
1428C42—794no—
1429C42—792no—
1430C42—794no—
1431C42—792no—
1432C42C23×D7918yes—
1433C42C23×D7914yes—
1434C42C23×D7911yescharacteristic
1435C42C23×D7911yescharacteristic
1436C42C23×D7911yescharacteristic
1437C42C23×D7911yescharacteristic
1438C23—24no—
1439C23—42no—
1440C23—42no—
1441C23—3161no—
1442C23—3164no—
1443C23—3161no—
1444C23—3164no—
1445C23—794no—
1446C23—792no—
1447C23—794no—
1448C23—1588no—
1449C23C24×D7914yes—
1450C23C24×D7914yes—
1451C23C24×D7911yescharacteristic
1452Q8—24no—
1453Q8—42no—
1454Q8—42no—
1455Q8—3162no—
1456Q8—3164no—
1457Q8—3162no—
1458Q8—3164no—
1459Q8—1588no—
1460Q8—1584no—
1461Q8—1584no—
1462Q8—1584no—
1463D4—28no—
1464D4—24no—
1465D4—24no—
1466D4—24no—
1467D4—42no—
1468D4—48no—
1469D4—42no—
1470D4—48no—
1471D4—3162no—
1472D4—3162no—
1473D4—3164no—
1474D4—3168no—
1475D4—3164no—
1476D4—3168no—
1477D4—1588no—
1478D4—1588no—
1479D4—1588no—
1480D4—15816no—
1481D4—1588no—
1482D4—1584no—
1483C2×C4—28no—
1484C2×C4—41no—
1485C2×C4—42no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—48no—
1489C2×C4—41no—
1490C2×C4—3168no—
1491C2×C4—3164no—
1492C2×C4—3168no—
1493C2×C4—3168no—
1494C2×C4—3164no—
1495C2×C4—3162no—
1496C2×C4—3161no—
1497C2×C4—3168no—
1498C2×C4—3168no—
1499C2×C4—3161no—
1500C2×C4—792no—
1501C2×C4—794no—
1502C2×C4—798no—
1503C2×C4—798no—
1504C2×C4—794no—
1505C2×C4—792no—
1506C2×C4—794no—
1507C2×C4—794no—
1508C2×C4—794no—
1509C2×C4—794no—
1510C2×C4—792no—
1511C2×C4—1588no—
1512C2×C4—1588no—
1513C2×C4—1588no—
1514C2×C4—15816no—
1515C2×C4—1584no—
1516C2×C4—1588no—
1517C2×C4#41×D7914yes—
1518C2×C4C24×D7911yescharacteristic
1519C2×C4C24×D7911yescharacteristic
1520C2×C4C24×D7914yes—
1521C2×C4C24×D7914yes—
1522C2×C4C24×D7914yes—
1523C2×C4C24×D7914yes—
1524C2×C4C24×D7911yescharacteristic
1525C2×C4C24×D7911yescharacteristic
1526C2×C4C24×D7911yescharacteristic
1527C2×C4C24×D7911yescharacteristic
1528C22—21no—
1529C22—21no—
1530C22—24no—
1531C22—24no—
1532C22—24no—
1533C22—24no—
1534C22—24no—
1535C22—24no—
1536C22—48no—
1537C22—3164no—
1538C22—31616no—
1539C22—794no—
1540C22—1584no—
1541C22—1584no—
1542C22—1584no—
1543C22—1582no—
1544C22—1582no—
1545C22C2×#41×D7912yes—
1546C22C25×D7911yescharacteristic
1547C4—24no—
1548C4—24no—
1549C4—21no—
1550C4—21no—
1551C4—24no—
1552C4—21no—
1553C4—21no—
1554C4—24no—
1555C4—794no—
1556C4—1584no—
1557C4—1584no—
1558C4—1584no—
1559C4—1584no—
1560C4—1582no—
1561C4—1584no—
1562C4—1582no—
1563C4C2×#41×D7912yes—
1564C4C2×#41×D7912yes—
1565C2—22no—
1566C2—44no—
1567C2—44no—
1568C2—3164no—
1569C2—1584no—
1570C2C22×#41×D7911yescharacteristic
1571C2#2377821011yescharacteristic
1572C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3506C2
hypercenter#3506D79
hypocenterC79#62845
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3506

Complements

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

NH ≅ G/Ntype
1. #23777267C2semidirect
2. #23777262C2semidirect
3. #23777261C2semidirect
4. #23777258C2semidirect
5. #23777257C2semidirect
6. #23777252C2semidirect
7. #23777251C2semidirect
8. #23777248C2semidirect
9. #23777244C2semidirect
10. #23777116C2semidirect
11. #23777115C2semidirect
12. #23777111C2semidirect
13. #23777104C2semidirect
14. #23777102C2semidirect
15. #23777101C2semidirect
16. #23776811C2semidirect
17. #23776807C2semidirect
18. #23776803C2semidirect
19. #23776731C2semidirect
20. #23776727C2semidirect
21. C2×#19099042C2semidirect
22. #520×D79C2semidirect
23. C79×#3506C2semidirect
26. #19099299C22semidirect
27. #19099299C22semidirect
28. #19099298C22semidirect
29. #19099296C22semidirect
30. #19099296C22semidirect
31. #19099295C22semidirect
32. #19099292C22semidirect
33. #19099291C22semidirect
34. #19099288C22semidirect
35. #19099287C22semidirect
36. #19099286C22semidirect
37. #19099285C22semidirect
38. #19099283C22semidirect
39. #19099283C22semidirect
40. #19099283C22semidirect
41. #19099282C22semidirect
42. #19099282C22semidirect
43. #19099282C22semidirect
44. #19099281C22semidirect
45. #19099280C22semidirect
46. #19099278C22semidirect
47. #19099277C22semidirect
48. #19099277C22semidirect
49. #19099275C22semidirect
50. #19099274C22semidirect
51. #19099272C22semidirect
52. #19099270C22semidirect
53. #19099268C22semidirect
54. #19099267C22semidirect
55. #19099265C22semidirect
56. #19099263C22semidirect
57. #19099262C22semidirect
58. #19099260C22semidirect
59. #19099258C22semidirect
60. #19099256C22semidirect
61. #19099256C22semidirect
62. #19099253C22semidirect
63. #19099252C22semidirect
64. #19099251C22semidirect
65. #19099250C22semidirect
66. #19099250C22semidirect
67. #19099249C22semidirect
68. #19099248C22semidirect
69. #19099246C22semidirect
70. #19099234C22semidirect
71. #19099233C22semidirect
72. #19099218C22semidirect
73. #19099213C22semidirect
74. #19099212C22semidirect
75. #19099211C22semidirect
76. #19099193C22semidirect
77. #19099193C22semidirect
78. #19099192C22semidirect
79. #19099192C22semidirect
80. #19099190C22semidirect
81. #19099190C22semidirect
84. #19099162C22semidirect
85. #19099159C22semidirect
86. #19099158C22semidirect
87. #19099156C22semidirect
88. #19099156C22semidirect
89. #19099155C22semidirect
90. #19099154C22semidirect
91. #19099151C22semidirect
92. #19099149C22semidirect
93. #19099148C22semidirect
94. #19099147C22semidirect
95. #19099145C22semidirect
96. #19099145C22semidirect
101. #19099139C22semidirect
102. #19099138C22semidirect
103. #19099134C22semidirect
104. #19099133C22semidirect
105. #19099133C22semidirect
106. #19099131C22semidirect
107. #19099130C22semidirect
108. #19099126C22semidirect
109. #19099126C22semidirect
113. #19099120C22semidirect
114. #19099117C22semidirect
115. #19099117C22semidirect
116. #19099116C22semidirect
121. #19099099C22semidirect
122. #19099096C22semidirect
123. #19099095C22semidirect
124. #19099094C22semidirect
125. #19099093C22semidirect
126. #19099092C22semidirect
127. #19099091C22semidirect
128. #19099074C22semidirect
129. #19099073C22semidirect
130. #19099073C22semidirect
131. #19099073C22semidirect
132. #19099072C22semidirect
133. #19099072C22semidirect
134. #19099072C22semidirect
135. #19099071C22semidirect
136. #19099070C22semidirect
137. #19099069C22semidirect
138. #19099069C22semidirect
139. #19099046C22semidirect
140. #19099045C22semidirect
141. #19099044C22semidirect
142. #19099044C22semidirect
143. #19099043C22semidirect
144. #19099043C22semidirect
145. #19099042C22semidirect
146. #19099042C22semidirect
147. #19099042C22semidirect
148. #19099042C22semidirect
149. #19099042C22semidirect
150. #19099042C22semidirect
151. C2×C4×Dic158C22semidirect
152. C2×#14579126C22semidirect
153. C4×Q8×D79C22semidirect
154. C2×D4×Dic79C22semidirect
158. C4×D4×D79C22semidirect
160. C2×#14579117C22semidirect
162. #117×D79C22semidirect
163. C22×Dic79⋊C4C22semidirect
165. C2×C4⋊C4×D79C22semidirect
166. #559×C79C22semidirect
167. #556×C79C22semidirect
168. #555×C79C22semidirect
169. #553×C79C22semidirect
170. #550×C79C22semidirect
171. #547×C79C22semidirect
172. #538×C79C22semidirect
173. #535×C79C22semidirect
174. #533×C79C22semidirect
176. #525×C79C22semidirect
177. #520×C79C22semidirect
178. C2×C4×D4×C79C22semidirect
522. C2×C4×D79#41semidirect
796. #3506D79semidirect
810. C79#62845semidirect
819. #559C2×D79semidirect
834. #556C2×D79semidirect
839. #555C2×D79semidirect
852. #553C2×D79semidirect
863. #550C2×D79semidirect
868. #547C2×D79semidirect
890. #538C2×D79semidirect
904. #535C2×D79semidirect
912. #533C2×D79semidirect
936. #525C2×D79semidirect
949. #520C2×D79semidirect
958. C2×C4×D4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237772672
#237772622
#237772612
#237772582
#237772572
#237772522
#237772512
#237772482
#237772442
#237771162
#237771152
#237771112
#237771042
#237771022
#237771012
#237768112
#237768072
#237768032
#237767312
#237767272
C2×#190990422
#520×D792
C79×#35062
#6284579