Finite Group Databasebeta

← #35196854

Subgroups — #35196854

Order 20224.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777315C214yesmaximal, complemented
2#23777305C214yesmaximal, complemented
3#23777298C211yesmaximal, characteristic, complemented
4#23777296C211yesmaximal, characteristic, complemented
5#23777294C211yesmaximal, characteristic, complemented
6#23777285C211yesmaximal, characteristic, complemented
7#23777281C211yesmaximal, characteristic, complemented
8#23777275C211yesmaximal, characteristic, complemented
9#23777271C211yesmaximal, characteristic, complemented
10#23777261C214yesmaximal, complemented
11#23777248C214yesmaximal, complemented
12#23777231C218yesmaximal, complemented
13#23776996C214yesmaximal, complemented
14#23776992C214yesmaximal, complemented
15#23776955C218yesmaximal, complemented
16#23776787C214yesmaximal, complemented
17#23776732C211yesmaximal, characteristic, complemented
18#23776731C211yesmaximal, characteristic, complemented
19#23776694C214yesmaximal, complemented
20#533×D79C211yesmaximal, characteristic, complemented
21C2×#19099112C211yesmaximal, characteristic, complemented
22#23776602C211yesmaximal, characteristic, complemented
23#23776598C211yesmaximal, characteristic, complemented
24C4×#41×D79C211yesmaximal, characteristic, complemented
25C79×#3510C211yesmaximal, characteristic, complemented
26C22×#11929625C2211yescharacteristic
27C22×#11929623C2211yescharacteristic
28C2×#41×D79C2211yescharacteristic
29#19099298C2214yescomplemented
30#19099296C2214yescomplemented
31#19099296C2214yescomplemented
32#19099295C2214yescomplemented
33#19099295C2214yescomplemented
34#19099291C2214yescomplemented
35#19099288C2214yescomplemented
36#19099286C2214yescomplemented
37#19099285C2214yescomplemented
38#19099285C2214yescomplemented
39#19099282C2214yescomplemented
40#19099282C2214yescomplemented
41#19099280C2218yescomplemented
42#19099275C2218yescomplemented
43#19099267C2218yescomplemented
44#19099264C2218yescomplemented
45#19099264C2218yescomplemented
46#19099263C2218yescomplemented
47#19099262C2218yescomplemented
48#19099258C2218yescomplemented
49#19099258C2218yescomplemented
50#19099258C2218yescomplemented
51#19099257C2218yescomplemented
52#19099250C2218yescomplemented
53#19099249C2218yescomplemented
54#19099246C2218yescomplemented
55#19099246C2218yescomplemented
56#19099242C2218yescomplemented
57#19099240C2218yescomplemented
58#19099239C2218yescomplemented
59#19099234C2214yescomplemented
60#19099233C2214yescomplemented
61#19099223C2218yescomplemented
62#19099221C2218yescomplemented
63#19099211C2218yescomplemented
64#19099203C2218yescomplemented
65#19099200C2218yescomplemented
66#19099187C2214yescomplemented
67#19099184C2214yescomplemented
68#19099182C2214yescomplemented
69#19099173C2214yescomplemented
70#19099171C2214yescomplemented
71#19099166C2214yescomplemented
72#19099164C2214yescomplemented
73#19099159C2218yescomplemented
74#19099154C2218yescomplemented
75#19099149C2218yescomplemented
76#19099147C2218yescomplemented
77#19099143C2214yescomplemented
78#19099142C2214yescomplemented
79#19099139C2211yescharacteristic
80#19099138C2212yescomplemented
81#19099137C2211yescharacteristic
82#19099134C2211yescharacteristic
83#19099133C2212yescomplemented
84#19099132C2211yescharacteristic
85#19099131C2212yescomplemented
86#19099130C2211yescharacteristic
87#19099127C2211yescharacteristic
88#19099126C2212yescomplemented
89#19099124C2214yes—
90#19099123C2214yes—
91#19099120C2211yescharacteristic, complemented
92#19099119C2212yescomplemented
93#19099118C2212yescomplemented
94#19099117C2214yescomplemented
95#19099117C2214yescomplemented
96#19099116C2211yescharacteristic, complemented
97#19099116C2211yescharacteristic, complemented
98#19099115C2214yescomplemented
99#19099115C2214yescomplemented
100#19099114C2212yescomplemented
101#19099112C2212yes—
102#19099112C2212yes—
103#19099112C2214yes—
104#19099112C2212yescomplemented
105#19099112C2212yescomplemented
106#19099112C2214yescomplemented
107#19099112C2212yescomplemented
108#19099112C2212yescomplemented
109#19099111C2212yescomplemented
110#19099110C2214yescomplemented
111#19099108C2214yescomplemented
112C2×#14579159C2211yescharacteristic, complemented
113C4⋊Q8×D79C2212yescomplemented
114C2×#14579157C2211yescharacteristic, complemented
115#19099099C2218yescomplemented
116#19099098C2214yescomplemented
117#19099097C2214yescomplemented
118#19099096C2218yescomplemented
119#19099096C2218yescomplemented
120#19099096C2218yescomplemented
121#19099092C2214yescomplemented
122#19099092C2218yescomplemented
123#19099091C2218yescomplemented
124#19099090C2218yescomplemented
125#19099090C2218yescomplemented
126#125×D79C2212yescomplemented
127C2×#14579149C2211yescharacteristic, complemented
128#19099076C2214yescomplemented
129#19099073C2214yescomplemented
130#19099072C2218yescomplemented
131#19099071C2214yes—
132#19099071C2218yescomplemented
133#19099069C2214yes—
134C22⋊Q8×D79C2214yes—
135C2×#14579134C2214yes—
136#19099045C2214yescomplemented
137#19099045C2214yescomplemented
138#19099042C2214yescomplemented
139#19099042C2214yescomplemented
140#19099041C2211yescharacteristic, complemented
141#19099040C2211yescharacteristic, complemented
142#19099040C2211yescharacteristic, complemented
143#19099038C2211yescharacteristic, complemented
144#19099037C2214yes—
145#19099037C2211yescharacteristic, complemented
146#19099037C2211yescharacteristic, complemented
147#19099036C2214yes—
148#41×Dic79C2211yescharacteristic
149C4×#11929625C2214yescomplemented
150C4×#11929625C2212yescomplemented
151C4×#11929625C2214yescomplemented
152C4×#11929624C2211yescharacteristic
153C4×#11929624C2212yescomplemented
154#19099031C2211yescharacteristic
155#19099031C2212yescomplemented
156#19099031C2218yescomplemented
157C4×#11929623C2214yes—
158C4×#11929623C2214yescomplemented
159C4×#11929623C2212yescomplemented
160C4×#11929623C2214yescomplemented
161C4×#11929623C2218yescomplemented
162C4×Q8×D79C2212yescomplemented
163C4×Q8×D79C2214yescomplemented
164C2×(C22⋊D79)⋊C4C2214yescomplemented
165C4×D4×D79C2214yes—
166C4×D4×D79C2212yescomplemented
167C2×#14579117C2214yescomplemented
168#117×D79C2211yescharacteristic
169#117×D79C2211yescharacteristic
170#117×D79C2211yescharacteristic
171#117×D79C2212yescomplemented
172#117×D79C2214yescomplemented
173C2×C42×D79C2211yescharacteristic
174C2×C42×D79C2212yescomplemented
175#559×C79C2214yescomplemented
176#556×C79C2214yescomplemented
177#551×C79C2218yescomplemented
178#542×C79C2214yescomplemented
179#536×C79C2211yescharacteristic
180#535×C79C2211yescharacteristic
181#533×C79C2211yescharacteristic, complemented
182#529×C79C2214yescomplemented
183C2×#124×C79C2211yescharacteristic, complemented
184#519×C79C2211yescharacteristic, complemented
185#518×C79C2211yescharacteristic, complemented
186C4×#41×C79C2211yescharacteristic
187C2×#11929625—28no—
188C2×#11929625C2312yes—
189C2×#11929625C2312yes—
190C2×#11929625C2312yes—
191C2×#11929625C2312yes—
192C2×#11929625C2311yescharacteristic
193C2×#11929624C2311yescharacteristic
194C2×#11929624C2312yes—
195C2×#11929624C2318yes—
196C2×#11929623—28no—
197C2×#11929623C2312yes—
198C2×#11929623C2312yes—
199C2×#11929623C2312yes—
200C2×#11929623C2311yescharacteristic
201C2×#11929623C2312yes—
202C2×#11929623C2312yes—
203C2×#11929623C2318yes—
204#41×D79—28no—
205C22×Dic158C2311yescharacteristic
206C2×Q8×D79C2311yescharacteristic
207C2×Q8×D79C2314yes—
208C22×D316C2312yes—
209C22×D316C2311yescharacteristic
210C22×C22⋊D79C2312yes—
211C22×C22⋊D79C2314yes—
212C2×D4×D79C2312yes—
213C2×D4×D79C2311yescharacteristic
214C23×Dic79C2312yes—
215C22×C4×D79C2312yes—
216C22×C4×D79C2312yes—
217C22×C4×D79C2312yes—
218C22×C4×D79C2314yes—
219C22×C4×D79C2311yescharacteristic
220#14579161C2312yes—
221#14579161C2312yes—
222#14579160C2314yes—
223#14579160C2312yes—
224#14579160C2312yes—
225#14579159C2312yes—
226#14579159C2312yes—
227#14579159C2314yes—
228#14579159C2314yes—
229#14579159C2312yes—
230#14579159C2312yes—
231#14579158C2312yes—
232#14579157C2312yes—
233#14579157C2312yes—
234#14579157C2314yes—
235#14579157C2312yes—
236#14579157C2312yes—
237#14579156C2318yes—
238#14579156C2318yes—
239#14579156C2318yes—
240#14579156C2318yes—
241#14579155C2318yes—
242#14579155C2318yes—
243#14579154C2318yes—
244#14579154C2318yes—
245#14579154C2318yes—
246#14579154C2318yes—
247#14579153C2318yes—
248#14579153C2312yes—
249#14579152C2318yes—
250#14579152C2312yes—
251#14579152C2312yes—
252#14579151C2318yes—
253#14579151C2318yes—
254#14579151C2314yes—
255#14579151C2318yes—
256#14579151C2314yes—
257#14579151C2318yes—
258#14579150C2312yes—
259#14579150C2312yes—
260#14579150C2318yes—
261#14579149C2312yes—
262#14579149C2312yes—
263#14579149C2312yes—
264#14579149C2314yes—
265#14579149C2312yes—
266#14579148C2312yes—
267#14579148C2312yes—
268#14579147C2318yes—
269#14579147C2318yes—
270#14579147C2318yes—
271#14579147C2318yes—
272#14579146C2318yes—
273#14579146C2318yes—
274#14579146C2318yes—
275#14579145C2314yes—
276#14579145C2318yes—
277#14579145C2318yes—
278#14579144C2314yes—
279#14579144C2318yes—
280#14579144C2318yes—
281#14579143C2318yes—
282#14579143C2318yes—
283#14579143C2318yes—
284#14579143C2318yes—
285#14579143C2318yes—
286#14579142C2314yes—
287#14579141C2314yes—
288#14579141C2314yes—
289#14579140C2314yes—
290#14579140C2314yes—
291#14579139C2318yes—
292#14579139C2318yes—
293#14579139C2318yes—
294#14579139C2314yes—
295#14579139C2314yes—
296#14579138C2318yes—
297#14579138C2318yes—
298#14579138C2314yes—
299#14579138C2314yes—
300#14579138C2318yes—
301#14579137C2314yes—
302#14579137C2314yes—
303#14579137C2318yes—
304#14579136C2314yes—
305#14579136C2318yes—
306#14579135C2314yes—
307#14579135C2318yes—
308#14579134C2318yes—
309#14579134C2318yes—
310#14579134C2318yes—
311#14579134C2318yes—
312#14579134C2318yes—
313#14579134C2318yes—
314#14579134C2318yes—
315#14579134C2318yes—
316#14579134C2318yes—
317#14579133C2318yes—
318#14579133C2318yes—
319#14579133C2318yes—
320#14579132C2314yes—
321#14579132C2318yes—
322#14579132C2318yes—
323#14579131C2318yes—
324#14579131C2314yes—
325#14579130C2314yes—
326#14579129C2318yes—
327#14579129C2314yes—
328Q8×Dic79C2314yes—
329Q8×Dic79C2312yes—
330Q8×Dic79C2314yes—
331Q8×Dic79C2314yes—
332C4×Dic158C2314yes—
333C4×Dic158C2318yes—
334C4×Dic158C2314yes—
335C4×Dic158C2314yes—
336C4×Dic158C2314yes—
337C4×Dic158C2312yes—
338C4×Dic158C2314yes—
339C4×Dic158C2314yes—
340#14579126C2314yes—
341#14579126C2318yes—
342#14579126C2314yes—
343#14579126C2314yes—
344#14579126C2312yes—
345#14579126C2314yes—
346#14579126C2314yes—
347#14579126C2314yes—
348C4×D316C2318yes—
349C4×D316C2314yes—
350C4×D316C2318yes—
351C4×D316C2314yes—
352C4×D316C2314yes—
353C4×D316C2312yes—
354D4×Dic79C2314yes—
355D4×Dic79C2314yes—
356D4×Dic79C2312yes—
357D4×Dic79C2314yes—
358D4×Dic79C2318yes—
359#14579123C2318yes—
360#14579123C2314yes—
361#14579123C2314yes—
362#14579123C2318yes—
363#14579123C2312yes—
364#14579123C2314yes—
365#14579123C2318yes—
366#14579123C2318yes—
367C4×C22⋊D79C2318yes—
368C4×C22⋊D79C2318yes—
369C4×C22⋊D79C2318yes—
370C4×C22⋊D79C2314yes—
371C4×C22⋊D79C2318yes—
372C4×C22⋊D79C2314yes—
373C4×C22⋊D79C2314yes—
374(C22⋊D79)⋊C4C2318yes—
375(C22⋊D79)⋊C4C2318yes—
376(C22⋊D79)⋊C4C2314yes—
377(C22⋊D79)⋊C4C2314yes—
378(C22⋊D79)⋊C4C2318yes—
379(C22⋊D79)⋊C4C2314yes—
380(C22⋊D79)⋊C4C2318yes—
381(C22⋊D79)⋊C4C2318yes—
382(C22⋊D79)⋊C4C2318yes—
383(C22⋊D79)⋊C4C2318yes—
384(C22⋊D79)⋊C4C2318yes—
385(C22⋊D79)⋊C4C2318yes—
386(C22⋊D79)⋊C4C2318yes—
387#14579120C2311yescharacteristic
388#14579120C2312yes—
389#14579120C2314yes—
390#14579120C2311yescharacteristic
391#14579120C2311yescharacteristic
392#14579119C2318yes—
393#14579119C2312yes—
394#14579119C2312yes—
395#14579119C2312yes—
396#14579119C2314yes—
397#14579119C2318yes—
398#14579118C2312yes—
399#14579118C2312yes—
400#14579118C2312yes—
401#14579118C2318yes—
402#14579118C2318yes—
403#14579118C2318yes—
404#14579118C2312yes—
405#14579118C2312yes—
406#14579117C2318yes—
407#14579117C2314yes—
408#14579117C2314yes—
409#14579117C2318yes—
410#14579117C2318yes—
411#14579117C2312yes—
412#14579117C2312yes—
413#14579117C2312yes—
414#14579117C2314yes—
415#14579117C2318yes—
416C2×Dic79⋊C4C2318yes—
417C2×Dic79⋊C4C2314yes—
418C4⋊C4×D79C2312yes—
419C4⋊C4×D79C2312yes—
420C4⋊C4×D79C2314yes—
421C4⋊C4×D79C2318yes—
422C4⋊C4×D79C2314yes—
423C4⋊C4×D79C2314yes—
424C4⋊C4×D79C2314yes—
425C4⋊C4×D79C2312yes—
426C2×C22⋊Dic79C2314yes—
427C2×(C2×D79)⋊C4C2314yes—
428C22⋊C4×D79C2314yes—
429C22⋊C4×D79C2314yes—
430C22⋊C4×D79C2314yes—
431C22⋊C4×D79C2312yes—
432C22⋊C4×D79C2312yes—
433C22⋊C4×D79C2312yes—
434C2×C4×Dic79C2312yes—
435C2×C4×Dic79C2311yescharacteristic
436C2×C4×Dic79C2314yes—
437C2×C4×Dic79C2312yes—
438C2×C4×Dic79C2318yes—
439C42×D79C2311yescharacteristic
440C42×D79C2311yescharacteristic
441C42×D79C2312yes—
442C42×D79C2312yes—
443C42×D79C2311yescharacteristic
444C42×D79C2311yescharacteristic
445C42×D79C2312yes—
446C42×D79C2314yes—
447C42×D79C2314yes—
448C42×D79C2312yes—
449C42×D79C2312yes—
450C42×D79C2312yes—
451C42×D79C2312yes—
452C42×D79C2318yes—
453C2×#41×C79C2311yescharacteristic
454C22×Q8×C79C2311yescharacteristic
455C22×D4×C79C2311yescharacteristic
456C4⋊Q8×C79C2312yes—
457C4⋊Q8×C79C2312yes—
458#127×C79C2312yes—
459#126×C79C2318yes—
460#126×C79C2318yes—
461#125×C79C2312yes—
462#124×C79C2318yes—
463#124×C79C2312yes—
464#124×C79C2312yes—
465#124×C79C2314yes—
466#124×C79C2312yes—
467#124×C79C2312yes—
468#123×C79C2318yes—
469#123×C79C2318yes—
470#123×C79C2314yes—
471C22⋊Q8×C79C2314yes—
472C22⋊Q8×C79C2318yes—
473C22⋊Q8×C79C2314yes—
474#121×C79C2314yes—
475#120×C79C2314yes—
476C4×Q8×C79C2314yes—
477C4×Q8×C79C2312yes—
478C4×Q8×C79C2314yes—
479C4×Q8×C79C2314yes—
480C4×D4×C79C2314yes—
481C4×D4×C79C2314yes—
482C4×D4×C79C2314yes—
483C4×D4×C79C2312yes—
484C4×D4×C79C2318yes—
485#117×C79C2311yescharacteristic
486#117×C79C2312yes—
487#117×C79C2311yescharacteristic
488#117×C79C2311yescharacteristic
489#117×C79C2314yes—
490#117×C79C2318yes—
491C2×C22⋊C4×C79C2314yes—
492C2×C22⋊C4×C79C2314yes—
493C2×C42×C79C2311yescharacteristic
494C2×C42×C79C2312yes—
495C23×D79C2412yes—
496C23×D79C2412yes—
497C23×D79C2411yescharacteristic
498#11929625—24no—
499#11929625—28no—
500#11929625—28no—
501#11929625—28no—
502#11929625—28no—
503#11929624—28no—
504#11929624—24no—
505#11929624—416no—
506#11929623—28no—
507#11929623—24no—
508#11929623—28no—
509#11929623—28no—
510#11929623—28no—
511#11929623—28no—
512#11929623—416no—
513C2×Dic158—24no—
514C2×Dic158C2414yes—
515C2×Dic158C2412yes—
516C2×Dic158C2411yescharacteristic
517C2×Dic158C2414yes—
518C2×Dic158C2412yes—
519C2×Dic158C2412yes—
520C2×Dic158C2414yes—
521Q8×D79—24no—
522Q8×D79—48no—
523C2×D316—28no—
524C2×D316—24no—
525C2×D316C2412yes—
526C2×D316C2411yescharacteristic
527C2×D316C2414yes—
528C2×D316C2414yes—
529C2×D316C2412yes—
530C2×D316C2412yes—
531C2×D316C2418yes—
532C2×C22⋊D79—28no—
533C2×C22⋊D79—48no—
534C2×C22⋊D79C2414yes—
535C2×C22⋊D79C2414yes—
536C2×C22⋊D79C2418yes—
537C2×C22⋊D79C2412yes—
538C2×C22⋊D79C2412yes—
539C2×C22⋊D79C2412yes—
540C2×C22⋊D79C2418yes—
541C2×C22⋊D79C2418yes—
542C2×C22⋊D79C2418yes—
543D4×D79—24no—
544D4×D79—28no—
545C22×Dic79—28no—
546C22×Dic79C2412yes—
547C22×Dic79C2414yes—
548C22×Dic79C2412yes—
549C22×Dic79C2414yes—
550C22×Dic79C2414yes—
551C22×Dic79C2412yes—
552C22×Dic79C2418yes—
553C22×Dic79C2411yescharacteristic
554C2×C4×D79—28no—
555C2×C4×D79—28no—
556C2×C4×D79—44no—
557C2×C4×D79—48no—
558C2×C4×D79#4118yescomplemented
559C2×C4×D79C2412yes—
560C2×C4×D79C2412yes—
561C2×C4×D79C2412yes—
562C2×C4×D79C2414yes—
563C2×C4×D79C2412yes—
564C2×C4×D79C2414yes—
565C2×C4×D79C2414yes—
566C2×C4×D79C2412yes—
567C2×C4×D79C2414yes—
568C2×C4×D79C2414yes—
569C2×C4×D79C2418yes—
570C2×C4×D79C2418yes—
571C2×C4×D79C2414yes—
572C2×C4×D79C2412yes—
573C2×C4×D79C2412yes—
574C2×C4×D79C2414yes—
575C2×C4×D79C2411yescharacteristic
576C2×C4×D79C2411yescharacteristic
577C2×C4×D79C2411yescharacteristic
578C2×C4×D79C2411yescharacteristic
579C4⋊Dic79C2412yes—
580C4⋊Dic79C2412yes—
581C4⋊Dic79C2414yes—
582C4⋊Dic79C2412yes—
583C4⋊Dic79C2418yes—
584C4⋊Dic79C2414yes—
585C4⋊Dic79C2414yes—
586C4⋊Dic79C2414yes—
587C4⋊Dic79C2418yes—
588Dic79⋊C4C2414yes—
589Dic79⋊C4C2414yes—
590Dic79⋊C4C2414yes—
591Dic79⋊C4C2414yes—
592Dic79⋊C4C2414yes—
593Dic79⋊C4C2414yes—
594Dic79⋊C4C2414yes—
595Dic79⋊C4C2414yes—
596Dic79⋊C4C2414yes—
597Dic79⋊C4C2414yes—
598Dic79⋊C4C2414yes—
599Dic79⋊C4C2418yes—
600Dic79⋊C4C2418yes—
601Dic79⋊C4C2418yes—
602Dic79⋊C4C2418yes—
603Dic79⋊C4C2418yes—
604Dic79⋊C4C2418yes—
605C22⋊Dic79C2412yes—
606C22⋊Dic79C2412yes—
607C22⋊Dic79C2412yes—
608C22⋊Dic79C2414yes—
609C22⋊Dic79C2418yes—
610C22⋊Dic79C2418yes—
611C22⋊Dic79C2418yes—
612(C2×D79)⋊C4C2414yes—
613(C2×D79)⋊C4C2414yes—
614(C2×D79)⋊C4C2414yes—
615(C2×D79)⋊C4C2414yes—
616(C2×D79)⋊C4C2414yes—
617(C2×D79)⋊C4C2418yes—
618(C2×D79)⋊C4C2418yes—
619(C2×D79)⋊C4C2418yes—
620(C2×D79)⋊C4C2418yes—
621(C2×D79)⋊C4C2418yes—
622(C2×D79)⋊C4C2418yes—
623(C2×D79)⋊C4C2418yes—
624(C2×D79)⋊C4C2418yes—
625C4×Dic79C2414yes—
626C4×Dic79C2412yes—
627C4×Dic79C2411yescharacteristic
628C4×Dic79C2414yes—
629C4×Dic79C2412yes—
630C4×Dic79C2414yes—
631C4×Dic79C2412yes—
632C4×Dic79C2411yescharacteristic
633C4×Dic79C2412yes—
634C4×Dic79C2412yes—
635C4×Dic79C2414yes—
636C4×Dic79C2414yes—
637C4×Dic79C2412yes—
638C4×Dic79C2414yes—
639C4×Dic79C2418yes—
640C4×Dic79C2412yes—
641C4×Dic79C2412yes—
642C4×Dic79C2418yes—
643C4×Dic79C2418yes—
644C24×C79C2412yes—
645#41×C79—24no—
646C2×Q8×C79—24no—
647C2×Q8×C79C2411yescharacteristic
648C2×Q8×C79C2412yes—
649C2×Q8×C79C2412yes—
650C2×Q8×C79C2414yes—
651C2×D4×C79—24no—
652C2×D4×C79C2412yes—
653C2×D4×C79C2412yes—
654C2×D4×C79C2412yes—
655C2×D4×C79C2411yescharacteristic
656C2×D4×C79C2418yes—
657C22×C4×C79C2412yes—
658C22×C4×C79C2412yes—
659C22×C4×C79C2418yes—
660C22×C4×C79C2412yes—
661C22×C4×C79C2414yes—
662C22×C4×C79C2411yescharacteristic
663C4⋊C4×C79C2414yes—
664C4⋊C4×C79C2412yes—
665C4⋊C4×C79C2412yes—
666C4⋊C4×C79C2414yes—
667C4⋊C4×C79C2412yes—
668C4⋊C4×C79C2418yes—
669C4⋊C4×C79C2418yes—
670C4⋊C4×C79C2414yes—
671C4⋊C4×C79C2414yes—
672C22⋊C4×C79C2412yes—
673C22⋊C4×C79C2412yes—
674C22⋊C4×C79C2418yes—
675C22⋊C4×C79C2418yes—
676C22⋊C4×C79C2418yes—
677C22⋊C4×C79C2412yes—
678C22⋊C4×C79C2414yes—
679C22⋊C4×C79C2418yes—
680C22⋊C4×C79C2418yes—
681C42×C79C2411yescharacteristic
682C42×C79C2412yes—
683C42×C79C2414yes—
684C42×C79C2411yescharacteristic
685C42×C79C2412yes—
686C42×C79C2418yes—
687C42×C79C2412yes—
688C42×C79C2412yes—
689C23×C79—24no—
690C23×C79—44no—
691C23×C79C2512yes—
692C23×C79C2514yes—
693C23×C79C2511yescharacteristic
694C22×D79—24no—
695C22×D79—24no—
696C22×D79—42no—
697C22×D79—44no—
698C22×D79—44no—
699C22×D79C2×#4114yes—
700C22×D79C2512yes—
701C22×D79C2514yes—
702C22×D79C2511yescharacteristic
703C22×D79C2511yescharacteristic
704Q8×C79—22no—
705Q8×C79—24no—
706Q8×C79—24no—
707Q8×C79—44no—
708D4×C79—24no—
709D4×C79—22no—
710D4×C79—24no—
711D4×C79—24no—
712D4×C79—48no—
713C2×C4×C79—24no—
714C2×C4×C79—24no—
715C2×C4×C79—44no—
716C2×C4×C79—42no—
717C2×C4×C79—48no—
718C2×C4×C79C2×#4114yes—
719C2×C4×C79C2514yes—
720C2×C4×C79C2512yes—
721C2×C4×C79C2514yes—
722C2×C4×C79C2512yes—
723C2×C4×C79C2512yes—
724C2×C4×C79C2514yes—
725C2×C4×C79C2514yes—
726C2×C4×C79C2511yescharacteristic
727C2×C4×C79C2511yescharacteristic
728C22⋊D79—24no—
729C22⋊D79—24no—
730C22⋊D79—28no—
731C22⋊D79—28no—
732C22⋊D79—24no—
733C22⋊D79—216no—
734C22⋊D79—48no—
735C22⋊D79—48no—
736C22⋊D79—48no—
737C2×Dic79—24no—
738C2×Dic79—24no—
739C2×Dic79—28no—
740C2×Dic79—28no—
741C2×Dic79—24no—
742C2×Dic79—28no—
743C2×Dic79—48no—
744C2×Dic79C2×#4114yes—
745C2×Dic79C2514yes—
746C2×Dic79C2514yes—
747C2×Dic79C2514yes—
748C2×Dic79C2512yes—
749C2×Dic79C2514yes—
750C2×Dic79C2512yes—
751C2×Dic79C2511yescharacteristic
752C2×Dic79C2511yescharacteristic
753C2×Dic79C2512yes—
754D316—24no—
755D316—28no—
756D316—28no—
757D316—22no—
758D316—24no—
759D316—24no—
760D316—48no—
761C4×D79—24no—
762C4×D79—24no—
763C4×D79—24no—
764C4×D79—28no—
765C4×D79—28no—
766C4×D79—24no—
767C4×D79—24no—
768C4×D79—28no—
769C4×D79—42no—
770C4×D79—42no—
771C4×D79—44no—
772C4×D79—44no—
773C4×D79—44no—
774C4×D79—44no—
775C4×D79—48no—
776C4×D79—48no—
777C4×D79C2×#4114yes—
778C4×D79C2×#4114yes—
779C4×D79C2×#4114yes—
780C4×D79C2×#4114yes—
781Dic158—22no—
782Dic158—24no—
783Dic158—24no—
784Dic158—24no—
785Dic158—28no—
786Dic158—28no—
787Dic158—44no—
788C22×C79—22no—
789C22×C79—22no—
790C22×C79—24no—
791C22×C79—28no—
792C22×C79—24no—
793C22×C79—84no—
794C22×C79C22×#4112yes—
795C22×C79C2611yescharacteristic
796C2×D79—22no—
797C2×D79—22no—
798C2×D79—22no—
799C2×D79—24no—
800C2×D79—28no—
801C2×D79—24no—
802C2×D79—44no—
803C2×D79—48no—
804C2×D79—84no—
805C2×D79C22×#4112yes—
806C2×D79C22×#4112yes—
807C4×C79—22no—
808C4×C79—24no—
809C4×C79—22no—
810C4×C79—24no—
811C4×C79—24no—
812C4×C79—22no—
813C4×C79—24no—
814C4×C79C22×#4112yes—
815C4×C79C22×#4112yes—
816Dic79—22no—
817Dic79—24no—
818Dic79—22no—
819Dic79—24no—
820Dic79—24no—
821Dic79—24no—
822Dic79C22×#4112yes—
823Dic79C22×#4112yes—
824Dic79#58514yes—
825#62815—791nomaximal, Sylow
826C2×C79—22no—
827C2×C79—42no—
828C2×C79—44no—
829C2×C79C23×#4111yescharacteristic
830C2×C79C2×#58512yes—
831D79—22no—
832D79—22no—
833D79—42no—
834D79—44no—
835#3512—794no—
836#3511—794no—
837#3510—791no—
838#3510—791no—
839#3510—791no—
840#3510D7911yescharacteristic, complemented
841#3509—791no—
842#3509—791no—
843#3508—791no—
844#3508—791no—
845#3507—794no—
846#3506—794no—
847#3505—798no—
848#3480—794no—
849#3480—794no—
850#3475—798no—
851#3455—794no—
852#3449—791no—
853#3449—791no—
854#3444—794no—
855C2×#533—791no—
856C2×#532—791no—
857#3428—791no—
858#3428—791no—
859C2×C4×#41—791no—
860C79#6281511yescharacteristic, complemented, Sylow
861C22×#41—791no—
862C22×#41—791no—
863C22×#41—791no—
864#559—794no—
865#559—794no—
866#559—794no—
867#559—794no—
868#559—794no—
869#559C2×D7914yescomplemented
870#557—794no—
871#557—794no—
872#556—798no—
873#556—794no—
874#556—794no—
875#556—794no—
876#556—794no—
877#556—794no—
878#556C2×D7914yescomplemented
879#555—798no—
880#554—798no—
881#553—798no—
882#553—798no—
883#553—798no—
884#553—798no—
885#553—798no—
886#553—798no—
887#553—798no—
888#553—798no—
889#552—798no—
890#552—798no—
891#552—798no—
892#552—798no—
893#551—798no—
894#551—798no—
895#551—798no—
896#551C2×D7918yescomplemented
897#550—794no—
898#550—794no—
899#548—798no—
900#548—798no—
901#547—798no—
902#546—798no—
903#546—798no—
904#542—794no—
905#542—794no—
906#542—794no—
907#542C2×D7914yescomplemented
908#541—794no—
909#541—794no—
910#540—794no—
911#540—794no—
912#539—798no—
913#539—798no—
914#538—798no—
915#538—798no—
916#537—794no—
917#537—794no—
918#536—791no—
919#536—791no—
920#536—792no—
921#536—792no—
922#536—791no—
923#536C2×D7911yescharacteristic
924#535—791no—
925#535—791no—
926#535—792no—
927#535—792no—
928#535—791no—
929#535C2×D7911yescharacteristic
930#534—794no—
931#534—794no—
932#533—792no—
933#533—792no—
934#533—794no—
935#533—794no—
936#533—794no—
937#533—794no—
938#533—791no—
939#533—791no—
940#533—791no—
941#533C2×D7911yescharacteristic, complemented
942#532—792no—
943#532—792no—
944#532—792no—
945#532—792no—
946#532—794no—
947#532—794no—
948#532—792no—
949#532—792no—
950#532—792no—
951#532—792no—
952#532—794no—
953#532—794no—
954C2×C4⋊Q8—791no—
955C2×C4⋊Q8—792no—
956C2×#127—791no—
957#529—798no—
958#529—798no—
959#529—798no—
960#529—794no—
961#529—794no—
962#529—798no—
963#529—798no—
964#529—798no—
965#529—798no—
966#529—798no—
967#529—794no—
968#529C2×D7914yescomplemented
969C2×#125—792no—
970C2×#124—791no—
971C2×#124C2×D7911yescharacteristic, complemented
972#525—798no—
973#525—794no—
974#525—794no—
975#525—794no—
976#525—794no—
977#525—798no—
978C2×C22⋊Q8—794no—
979C2×#121—794no—
980#520—794no—
981#520—794no—
982#520—794no—
983#520—794no—
984#519—791no—
985#519—791no—
986#519—791no—
987#519C2×D7911yescharacteristic, complemented
988#518—791no—
989#518—794no—
990#518—791no—
991#518—791no—
992#518—794no—
993#518C2×D7911yescharacteristic, complemented
994C4×#41—791no—
995C4×#41—792no—
996C4×#41—794no—
997C4×#41—794no—
998C4×#41—794no—
999C4×#41—792no—
1000C4×#41—794no—
1001C4×#41—794no—
1002C4×#41—798no—
1003C4×#41—791no—
1004C4×#41—792no—
1005C4×#41—798no—
1006C4×#41—791no—
1007C4×#41—792no—
1008C4×#41C2×D7911yescharacteristic
1009C2×C4×Q8—792no—
1010C2×C4×Q8—794no—
1011C2×C4×D4—794no—
1012C2×C4×D4—792no—
1013C2×C4×D4—794no—
1014C2×#117—791no—
1015C2×#117—792no—
1016C2×#117—791no—
1017C2×#117—791no—
1018C2×#117—794no—
1019C2×#117—794no—
1020C22×C42—791no—
1021C22×C42—792no—
1022C2×#41—792no—
1023C2×#41—791no—
1024C2×#41—792no—
1025C2×#41—792no—
1026C2×#41—792no—
1027C2×#41—798no—
1028C2×#41—792no—
1029C2×#41—792no—
1030C2×#41—791no—
1031C2×#41—792no—
1032C2×#41—792no—
1033C2×#41—792no—
1034C2×#41—798no—
1035C2×#41—791no—
1036C2×#41—792no—
1037C2×#41—1588no—
1038C2×#41—1588no—
1039C2×#41—1588no—
1040C2×#41C22×D7911yescharacteristic
1041C22×Q8—794no—
1042C22×Q8—791no—
1043C22×Q8—791no—
1044C22×Q8C22×D7911yescharacteristic
1045C22×D4—794no—
1046C22×D4—792no—
1047C22×D4—792no—
1048C22×D4—791no—
1049C22×D4—792no—
1050C22×D4—791no—
1051C22×D4C22×D7911yescharacteristic
1052C23×C4—792no—
1053C23×C4—794no—
1054C23×C4—791no—
1055C23×C4—792no—
1056C23×C4—792no—
1057C23×C4—792no—
1058C4⋊Q8—792no—
1059C4⋊Q8—792no—
1060C4⋊Q8—794no—
1061C4⋊Q8—794no—
1062C4⋊Q8—792no—
1063C4⋊Q8—792no—
1064C4⋊Q8—792no—
1065C4⋊Q8—792no—
1066C4⋊Q8—794no—
1067C4⋊Q8—792no—
1068C4⋊Q8—792no—
1069C4⋊Q8C22×D7912yes—
1070C4⋊Q8C22×D7912yes—
1071#127—792no—
1072#127—792no—
1073#127—794no—
1074#127—792no—
1075#127—792no—
1076#127—792no—
1077#127C22×D7912yes—
1078#126—798no—
1079#126—798no—
1080#126—798no—
1081#126—798no—
1082#126—798no—
1083#126—798no—
1084#126—798no—
1085#126—798no—
1086#126—798no—
1087#126—798no—
1088#126C22×D7918yes—
1089#126C22×D7918yes—
1090#125—792no—
1091#125—792no—
1092#125—794no—
1093#125—794no—
1094#125—798no—
1095#125—798no—
1096#125—798no—
1097#125—798no—
1098#125—798no—
1099#125—792no—
1100#125—798no—
1101#125C22×D7912yes—
1102#124—798no—
1103#124—792no—
1104#124—792no—
1105#124—792no—
1106#124—792no—
1107#124—798no—
1108#124—798no—
1109#124—798no—
1110#124—798no—
1111#124—792no—
1112#124—792no—
1113#124—794no—
1114#124—792no—
1115#124—792no—
1116#124C22×D7912yes—
1117#124C22×D7912yes—
1118#124C22×D7914yes—
1119#124C22×D7918yes—
1120#124C22×D7912yes—
1121#124C22×D7912yes—
1122#123—794no—
1123#123—798no—
1124#123—794no—
1125#123—798no—
1126#123—798no—
1127#123—798no—
1128#123—798no—
1129#123—798no—
1130#123—798no—
1131#123—794no—
1132#123—798no—
1133#123—798no—
1134#123—798no—
1135#123—798no—
1136#123—798no—
1137#123C22×D7918yes—
1138#123C22×D7914yes—
1139#123C22×D7918yes—
1140C22⋊Q8—794no—
1141C22⋊Q8—794no—
1142C22⋊Q8—798no—
1143C22⋊Q8—794no—
1144C22⋊Q8—794no—
1145C22⋊Q8—794no—
1146C22⋊Q8—794no—
1147C22⋊Q8—794no—
1148C22⋊Q8—794no—
1149C22⋊Q8—798no—
1150C22⋊Q8—798no—
1151C22⋊Q8—798no—
1152C22⋊Q8—794no—
1153C22⋊Q8—794no—
1154C22⋊Q8—798no—
1155C22⋊Q8—798no—
1156C22⋊Q8—798no—
1157C22⋊Q8C22×D7914yes—
1158C22⋊Q8C22×D7914yes—
1159C22⋊Q8C22×D7918yes—
1160#121—794no—
1161#121—798no—
1162#121—798no—
1163#121—798no—
1164#121—798no—
1165#121—798no—
1166#121—794no—
1167#121—798no—
1168#121—794no—
1169#121—798no—
1170#121—798no—
1171#121—798no—
1172#121—798no—
1173#121—798no—
1174#121—798no—
1175#121—798no—
1176#121—798no—
1177#121—798no—
1178#121—798no—
1179#121C22×D7914yes—
1180#120—794no—
1181#120—798no—
1182#120—794no—
1183#120—798no—
1184#120—794no—
1185#120C22×D7914yes—
1186C4×Q8—792no—
1187C4×Q8—794no—
1188C4×Q8—794no—
1189C4×Q8—794no—
1190C4×Q8—794no—
1191C4×Q8—794no—
1192C4×Q8—794no—
1193C4×Q8—792no—
1194C4×Q8—794no—
1195C4×Q8—794no—
1196C4×Q8—794no—
1197C4×Q8—798no—
1198C4×Q8—794no—
1199C4×Q8—792no—
1200C4×Q8—794no—
1201C4×Q8—794no—
1202C4×Q8—794no—
1203C4×Q8—794no—
1204C4×Q8—794no—
1205C4×Q8—798no—
1206C4×Q8C22×D7912yes—
1207C4×Q8C22×D7914yes—
1208C4×Q8C22×D7914yes—
1209C4×Q8C22×D7914yes—
1210C4×D4—794no—
1211C4×D4—792no—
1212C4×D4—794no—
1213C4×D4—794no—
1214C4×D4—798no—
1215C4×D4—794no—
1216C4×D4—794no—
1217C4×D4—794no—
1218C4×D4—798no—
1219C4×D4—798no—
1220C4×D4—798no—
1221C4×D4—798no—
1222C4×D4—794no—
1223C4×D4—792no—
1224C4×D4—798no—
1225C4×D4—794no—
1226C4×D4—798no—
1227C4×D4—794no—
1228C4×D4—798no—
1229C4×D4—798no—
1230C4×D4—798no—
1231C4×D4—794no—
1232C4×D4—794no—
1233C4×D4—794no—
1234C4×D4—798no—
1235C4×D4—798no—
1236C4×D4—798no—
1237C4×D4—798no—
1238C4×D4—798no—
1239C4×D4—798no—
1240C4×D4—798no—
1241C4×D4—798no—
1242C4×D4—798no—
1243C4×D4—794no—
1244C4×D4—792no—
1245C4×D4—798no—
1246C4×D4—794no—
1247C4×D4—798no—
1248C4×D4—794no—
1249C4×D4C22×D7914yes—
1250C4×D4C22×D7912yes—
1251C4×D4C22×D7914yes—
1252C4×D4C22×D7914yes—
1253C4×D4C22×D7918yes—
1254#117—791no—
1255#117—792no—
1256#117—791no—
1257#117—791no—
1258#117—794no—
1259#117—792no—
1260#117—792no—
1261#117—792no—
1262#117—794no—
1263#117—798no—
1264#117—798no—
1265#117—792no—
1266#117—792no—
1267#117—792no—
1268#117—794no—
1269#117—798no—
1270#117—794no—
1271#117—794no—
1272#117—798no—
1273#117—798no—
1274#117—798no—
1275#117—792no—
1276#117—792no—
1277#117—792no—
1278#117—792no—
1279#117—792no—
1280#117—798no—
1281#117—798no—
1282#117—798no—
1283#117C22×D7911yescharacteristic
1284#117C22×D7912yes—
1285#117C22×D7911yescharacteristic
1286#117C22×D7914yes—
1287#117C22×D7911yescharacteristic
1288#117C22×D7918yes—
1289C2×C4⋊C4—798no—
1290C2×C4⋊C4—794no—
1291C2×C4⋊C4—792no—
1292C2×C4⋊C4—794no—
1293C2×C4⋊C4—792no—
1294C2×C4⋊C4—792no—
1295C2×C4⋊C4—798no—
1296C2×C4⋊C4—794no—
1297C2×C4⋊C4—794no—
1298C2×C4⋊C4—794no—
1299C2×C22⋊C4—794no—
1300C2×C22⋊C4—794no—
1301C2×C22⋊C4—792no—
1302C2×C22⋊C4—794no—
1303C2×C22⋊C4—792no—
1304C2×C22⋊C4—792no—
1305C2×C22⋊C4—794no—
1306C2×C22⋊C4—794no—
1307C2×C22⋊C4C22×D7914yes—
1308C2×C22⋊C4C22×D7914yes—
1309C2×C42—798no—
1310C2×C42—792no—
1311C2×C42—794no—
1312C2×C42—791no—
1313C2×C42—792no—
1314C2×C42—792no—
1315C2×C42—791no—
1316C2×C42—792no—
1317C2×C42—792no—
1318C2×C42—798no—
1319C2×C42—794no—
1320C2×C42—792no—
1321C2×C42—792no—
1322C2×C42—794no—
1323C2×C42—791no—
1324C2×C42—792no—
1325C2×C42—791no—
1326C2×C42—792no—
1327C2×C42—791no—
1328C2×C42C22×D7911yescharacteristic
1329C2×C42C22×D7912yes—
1330C24—791no—
1331C24—792no—
1332C24—792no—
1333C24C23×D7912yes—
1334#41—24no—
1335#41—31616no—
1336#41—31616no—
1337#41—1588no—
1338#41—1588no—
1339#41—1588no—
1340#41—1588no—
1341#41—1588no—
1342#41—1588no—
1343#41—1584no—
1344#41—1588no—
1345#41—1588no—
1346#41—1588no—
1347#41—1588no—
1348#41—1584no—
1349#41—1584no—
1350C2×Q8—24no—
1351C2×Q8—3168no—
1352C2×Q8—794no—
1353C2×Q8—792no—
1354C2×Q8—794no—
1355C2×Q8—794no—
1356C2×Q8—792no—
1357C2×Q8—791no—
1358C2×Q8—792no—
1359C2×Q8—1584no—
1360C2×Q8—1584no—
1361C2×Q8C23×D7912yes—
1362C2×Q8C23×D7911yescharacteristic
1363C2×Q8C23×D7912yes—
1364C2×Q8C23×D7914yes—
1365C2×D4—24no—
1366C2×D4—3168no—
1367C2×D4—798no—
1368C2×D4—798no—
1369C2×D4—798no—
1370C2×D4—792no—
1371C2×D4—794no—
1372C2×D4—792no—
1373C2×D4—792no—
1374C2×D4—794no—
1375C2×D4—798no—
1376C2×D4—798no—
1377C2×D4—794no—
1378C2×D4—792no—
1379C2×D4—794no—
1380C2×D4—792no—
1381C2×D4—791no—
1382C2×D4—792no—
1383C2×D4—1588no—
1384C2×D4—1584no—
1385C2×D4—1588no—
1386C2×D4—1588no—
1387C2×D4—1584no—
1388C2×D4C23×D7912yes—
1389C2×D4C23×D7912yes—
1390C2×D4C23×D7911yescharacteristic
1391C2×D4C23×D7912yes—
1392C2×D4C23×D7918yes—
1393C22×C4—3164no—
1394C22×C4—3168no—
1395C22×C4—798no—
1396C22×C4—794no—
1397C22×C4—792no—
1398C22×C4—792no—
1399C22×C4—794no—
1400C22×C4—794no—
1401C22×C4—794no—
1402C22×C4—798no—
1403C22×C4—798no—
1404C22×C4—791no—
1405C22×C4—798no—
1406C22×C4—791no—
1407C22×C4—791no—
1408C22×C4—791no—
1409C22×C4—791no—
1410C22×C4—792no—
1411C22×C4—792no—
1412C22×C4—794no—
1413C22×C4—794no—
1414C22×C4—792no—
1415C22×C4—794no—
1416C22×C4—792no—
1417C22×C4—792no—
1418C22×C4—792no—
1419C22×C4—792no—
1420C22×C4—794no—
1421C22×C4—794no—
1422C22×C4—792no—
1423C22×C4—794no—
1424C22×C4—1588no—
1425C22×C4—1588no—
1426C22×C4—1588no—
1427C22×C4C23×D7912yes—
1428C22×C4C23×D7912yes—
1429C22×C4C23×D7912yes—
1430C22×C4C23×D7914yes—
1431C22×C4C23×D7918yes—
1432C22×C4C23×D7911yescharacteristic
1433C4⋊C4—794no—
1434C4⋊C4—794no—
1435C4⋊C4—794no—
1436C4⋊C4—794no—
1437C4⋊C4—798no—
1438C4⋊C4—794no—
1439C4⋊C4—794no—
1440C4⋊C4—798no—
1441C4⋊C4—794no—
1442C4⋊C4—794no—
1443C4⋊C4—798no—
1444C4⋊C4—794no—
1445C4⋊C4—798no—
1446C4⋊C4—794no—
1447C4⋊C4—794no—
1448C4⋊C4—798no—
1449C4⋊C4—798no—
1450C4⋊C4—792no—
1451C4⋊C4—792no—
1452C4⋊C4—792no—
1453C4⋊C4—798no—
1454C4⋊C4—794no—
1455C4⋊C4—794no—
1456C4⋊C4—794no—
1457C4⋊C4—794no—
1458C4⋊C4—798no—
1459C4⋊C4C23×D7914yes—
1460C4⋊C4C23×D7912yes—
1461C4⋊C4C23×D7912yes—
1462C4⋊C4C23×D7918yes—
1463C4⋊C4C23×D7914yes—
1464C4⋊C4C23×D7912yes—
1465C4⋊C4C23×D7914yes—
1466C4⋊C4C23×D7914yes—
1467C4⋊C4C23×D7918yes—
1468C22⋊C4—792no—
1469C22⋊C4—792no—
1470C22⋊C4—792no—
1471C22⋊C4—794no—
1472C22⋊C4—798no—
1473C22⋊C4—798no—
1474C22⋊C4—798no—
1475C22⋊C4—794no—
1476C22⋊C4—794no—
1477C22⋊C4—794no—
1478C22⋊C4—794no—
1479C22⋊C4—798no—
1480C22⋊C4—798no—
1481C22⋊C4—798no—
1482C22⋊C4—794no—
1483C22⋊C4—798no—
1484C22⋊C4—798no—
1485C22⋊C4—798no—
1486C22⋊C4—798no—
1487C22⋊C4—798no—
1488C22⋊C4C23×D7912yes—
1489C22⋊C4C23×D7912yes—
1490C22⋊C4C23×D7912yes—
1491C22⋊C4C23×D7914yes—
1492C22⋊C4C23×D7918yes—
1493C22⋊C4C23×D7918yes—
1494C22⋊C4C23×D7918yes—
1495C22⋊C4C23×D7918yes—
1496C22⋊C4C23×D7918yes—
1497C42—794no—
1498C42—792no—
1499C42—791no—
1500C42—794no—
1501C42—794no—
1502C42—792no—
1503C42—792no—
1504C42—794no—
1505C42—791no—
1506C42—792no—
1507C42—792no—
1508C42—794no—
1509C42—794no—
1510C42—792no—
1511C42—798no—
1512C42—798no—
1513C42—798no—
1514C42—792no—
1515C42—792no—
1516C42C23×D7911yescharacteristic
1517C42C23×D7912yes—
1518C42C23×D7914yes—
1519C42C23×D7911yescharacteristic
1520C42C23×D7912yes—
1521C42C23×D7918yes—
1522C42C23×D7912yes—
1523C42C23×D7912yes—
1524C23—24no—
1525C23—44no—
1526C23—3162no—
1527C23—3164no—
1528C23—3164no—
1529C23—794no—
1530C23—791no—
1531C23—791no—
1532C23—794no—
1533C23—792no—
1534C23—1584no—
1535C23—1584no—
1536C23C24×D7912yes—
1537C23C24×D7914yes—
1538C23C24×D7911yescharacteristic
1539Q8—24no—
1540Q8—24no—
1541Q8—22no—
1542Q8—44no—
1543Q8—3164no—
1544Q8—1588no—
1545Q8—1588no—
1546Q8—1584no—
1547Q8—1584no—
1548Q8—1582no—
1549Q8—1584no—
1550D4—24no—
1551D4—24no—
1552D4—24no—
1553D4—22no—
1554D4—48no—
1555D4—3168no—
1556D4—3168no—
1557D4—3168no—
1558D4—3168no—
1559D4—1584no—
1560D4—1588no—
1561D4—1588no—
1562D4—15816no—
1563D4—1584no—
1564D4—1584no—
1565D4—1588no—
1566D4—1588no—
1567D4—1584no—
1568D4—1584no—
1569D4—1582no—
1570D4—1584no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—44no—
1574C2×C4—42no—
1575C2×C4—48no—
1576C2×C4—3164no—
1577C2×C4—3164no—
1578C2×C4—3162no—
1579C2×C4—3162no—
1580C2×C4—3164no—
1581C2×C4—3164no—
1582C2×C4—3168no—
1583C2×C4—3168no—
1584C2×C4—3168no—
1585C2×C4—791no—
1586C2×C4—792no—
1587C2×C4—791no—
1588C2×C4—794no—
1589C2×C4—794no—
1590C2×C4—794no—
1591C2×C4—794no—
1592C2×C4—794no—
1593C2×C4—794no—
1594C2×C4—792no—
1595C2×C4—794no—
1596C2×C4—794no—
1597C2×C4—794no—
1598C2×C4—792no—
1599C2×C4—1584no—
1600C2×C4—1584no—
1601C2×C4—1588no—
1602C2×C4—1584no—
1603C2×C4—1588no—
1604C2×C4—1588no—
1605C2×C4—1584no—
1606C2×C4—1584no—
1607C2×C4—1588no—
1608C2×C4—1584no—
1609C2×C4—1588no—
1610C2×C4—1588no—
1611C2×C4—1584no—
1612C2×C4—1584no—
1613C2×C4#41×D7914yes—
1614C2×C4C24×D7914yes—
1615C2×C4C24×D7912yes—
1616C2×C4C24×D7914yes—
1617C2×C4C24×D7912yes—
1618C2×C4C24×D7912yes—
1619C2×C4C24×D7914yes—
1620C2×C4C24×D7914yes—
1621C2×C4C24×D7911yescharacteristic
1622C2×C4C24×D7911yescharacteristic
1623C22—22no—
1624C22—22no—
1625C22—24no—
1626C22—28no—
1627C22—24no—
1628C22—84no—
1629C22—3164no—
1630C22—3168no—
1631C22—792no—
1632C22—792no—
1633C22—6324no—
1634C22—1582no—
1635C22—1584no—
1636C22—1588no—
1637C22—1584no—
1638C22—1582no—
1639C22—1582no—
1640C22C2×#41×D7912yes—
1641C22C25×D7911yescharacteristic
1642C4—22no—
1643C4—24no—
1644C4—22no—
1645C4—24no—
1646C4—24no—
1647C4—22no—
1648C4—24no—
1649C4—792no—
1650C4—792no—
1651C4—794no—
1652C4—1582no—
1653C4—1584no—
1654C4—1584no—
1655C4—1584no—
1656C4—1584no—
1657C4—1582no—
1658C4C2×#41×D7912yes—
1659C4C2×#41×D7912yes—
1660C2—22no—
1661C2—44no—
1662C2—42no—
1663C2—3162no—
1664C2—3164no—
1665C2—1582no—
1666C2—1582no—
1667C2C22×#41×D7911yescharacteristic
1668C2#585×D7912yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3510C2
hypercenter#3510D79
hypocenterC79#62815
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3510

Complements

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

NH ≅ G/Ntype
1. #23777315C2semidirect
2. #23777305C2semidirect
3. #23777298C2semidirect
4. #23777296C2semidirect
5. #23777294C2semidirect
6. #23777285C2semidirect
7. #23777281C2semidirect
8. #23777275C2semidirect
9. #23777271C2semidirect
10. #23777261C2semidirect
11. #23777248C2semidirect
12. #23777231C2semidirect
13. #23776996C2semidirect
14. #23776992C2semidirect
15. #23776955C2semidirect
16. #23776787C2semidirect
17. #23776732C2semidirect
18. #23776731C2semidirect
19. #23776694C2semidirect
20. #533×D79C2semidirect
21. C2×#19099112C2semidirect
22. #23776602C2semidirect
23. #23776598C2semidirect
24. C4×#41×D79C2semidirect
25. C79×#3510C2semidirect
29. #19099298C22semidirect
30. #19099296C22semidirect
31. #19099296C22semidirect
32. #19099295C22semidirect
33. #19099295C22semidirect
34. #19099291C22semidirect
35. #19099288C22semidirect
36. #19099286C22semidirect
37. #19099285C22semidirect
38. #19099285C22semidirect
39. #19099282C22semidirect
40. #19099282C22semidirect
41. #19099280C22semidirect
42. #19099275C22semidirect
43. #19099267C22semidirect
44. #19099264C22semidirect
45. #19099264C22semidirect
46. #19099263C22semidirect
47. #19099262C22semidirect
48. #19099258C22semidirect
49. #19099258C22semidirect
50. #19099258C22semidirect
51. #19099257C22semidirect
52. #19099250C22semidirect
53. #19099249C22semidirect
54. #19099246C22semidirect
55. #19099246C22semidirect
56. #19099242C22semidirect
57. #19099240C22semidirect
58. #19099239C22semidirect
59. #19099234C22semidirect
60. #19099233C22semidirect
61. #19099223C22semidirect
62. #19099221C22semidirect
63. #19099211C22semidirect
64. #19099203C22semidirect
65. #19099200C22semidirect
66. #19099187C22semidirect
67. #19099184C22semidirect
68. #19099182C22semidirect
69. #19099173C22semidirect
70. #19099171C22semidirect
71. #19099166C22semidirect
72. #19099164C22semidirect
73. #19099159C22semidirect
74. #19099154C22semidirect
75. #19099149C22semidirect
76. #19099147C22semidirect
77. #19099143C22semidirect
78. #19099142C22semidirect
80. #19099138C22semidirect
83. #19099133C22semidirect
85. #19099131C22semidirect
88. #19099126C22semidirect
91. #19099120C22semidirect
92. #19099119C22semidirect
93. #19099118C22semidirect
94. #19099117C22semidirect
95. #19099117C22semidirect
96. #19099116C22semidirect
97. #19099116C22semidirect
98. #19099115C22semidirect
99. #19099115C22semidirect
100. #19099114C22semidirect
104. #19099112C22semidirect
105. #19099112C22semidirect
106. #19099112C22semidirect
107. #19099112C22semidirect
108. #19099112C22semidirect
109. #19099111C22semidirect
110. #19099110C22semidirect
111. #19099108C22semidirect
112. C2×#14579159C22semidirect
113. C4⋊Q8×D79C22semidirect
114. C2×#14579157C22semidirect
115. #19099099C22semidirect
116. #19099098C22semidirect
117. #19099097C22semidirect
118. #19099096C22semidirect
119. #19099096C22semidirect
120. #19099096C22semidirect
121. #19099092C22semidirect
122. #19099092C22semidirect
123. #19099091C22semidirect
124. #19099090C22semidirect
125. #19099090C22semidirect
126. #125×D79C22semidirect
127. C2×#14579149C22semidirect
128. #19099076C22semidirect
129. #19099073C22semidirect
130. #19099072C22semidirect
132. #19099071C22semidirect
136. #19099045C22semidirect
137. #19099045C22semidirect
138. #19099042C22semidirect
139. #19099042C22semidirect
140. #19099041C22semidirect
141. #19099040C22semidirect
142. #19099040C22semidirect
143. #19099038C22semidirect
145. #19099037C22semidirect
146. #19099037C22semidirect
149. C4×#11929625C22semidirect
150. C4×#11929625C22semidirect
151. C4×#11929625C22semidirect
153. C4×#11929624C22semidirect
155. #19099031C22semidirect
156. #19099031C22semidirect
158. C4×#11929623C22semidirect
159. C4×#11929623C22semidirect
160. C4×#11929623C22semidirect
161. C4×#11929623C22semidirect
162. C4×Q8×D79C22semidirect
163. C4×Q8×D79C22semidirect
164. C2×(C22⋊D79)⋊C4C22semidirect
166. C4×D4×D79C22semidirect
167. C2×#14579117C22semidirect
171. #117×D79C22semidirect
172. #117×D79C22semidirect
174. C2×C42×D79C22semidirect
175. #559×C79C22semidirect
176. #556×C79C22semidirect
177. #551×C79C22semidirect
178. #542×C79C22semidirect
181. #533×C79C22semidirect
182. #529×C79C22semidirect
183. C2×#124×C79C22semidirect
184. #519×C79C22semidirect
185. #518×C79C22semidirect
558. C2×C4×D79#41semidirect
840. #3510D79semidirect
860. C79#62815semidirect
869. #559C2×D79semidirect
878. #556C2×D79semidirect
896. #551C2×D79semidirect
907. #542C2×D79semidirect
941. #533C2×D79semidirect
968. #529C2×D79semidirect
971. C2×#124C2×D79semidirect
987. #519C2×D79semidirect
993. #518C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237773152
#237773052
#237772982
#237772962
#237772942
#237772852
#237772812
#237772752
#237772712
#237772612
#237772482
#237772312
#237769962
#237769922
#237769552
#237767872
#237767322
#237767312
#237766942
#533×D792
C2×#190991122
#237766022
#237765982
C4×#41×D792
C79×#35102
#6281579