Finite Group Databasebeta

← #35196786

Subgroups — #35196786

Order 20224.

7220 conjugacy classes of subgroups.

The subgroup lattice has 1360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777502C212yesmaximal, complemented
2#23777457C216yesmaximal, complemented
3#23777386C212yesmaximal, complemented
4#23777329C216yesmaximal, complemented
5#23777320C213yesmaximal, complemented
6#23777294C213yesmaximal, complemented
7#23777226C211yesmaximal, characteristic, complemented
8#23777149C213yesmaximal, complemented
9#23777132C213yesmaximal, complemented
10#23777073C211yesmaximal, characteristic, complemented
11#23777062C211yesmaximal, characteristic, complemented
12#23777016C212yesmaximal, complemented
13#23777005C216yesmaximal, complemented
14#23776990C212yesmaximal, complemented
15#23776951C216yesmaximal, complemented
16#23776824C213yesmaximal, complemented
17#23776813C213yesmaximal, complemented
18#23776695C213yesmaximal, complemented
19C2×#19099092C213yesmaximal, complemented
202−1+4×Dic79C211yesmaximal, characteristic, complemented
21H(5,𝔽2)×Dic79C211yesmaximal, characteristic, complemented
22C4×#41×D79C211yesmaximal, characteristic, complemented
23C79×#3500C211yesmaximal, characteristic, complemented
24C2×#41×D79C2211yescharacteristic
25#19099295C2216yescomplemented
26#19099295C2216yescomplemented
27#19099289C2212yescomplemented
28#19099289C2212yescomplemented
29#19099284C2216yescomplemented
30#19099282C2216yescomplemented
31#19099282C2216yescomplemented
32#19099277C2216yescomplemented
33#19099272C2216yescomplemented
34#19099272C2216yescomplemented
35#19099271C2216yescomplemented
36#19099265C2216yescomplemented
37#19099260C2216yescomplemented
38#19099259C2216yescomplemented
39#19099259C2216yescomplemented
40#19099256C22112yescomplemented
41#19099256C22112yescomplemented
42#19099255C2216yescomplemented
43#19099253C2216yescomplemented
44#19099253C2216yescomplemented
45#19099250C22112yescomplemented
46#19099247C2216yescomplemented
47#19099244C22112yescomplemented
48#19099239C22112yescomplemented
49#19099239C22112yescomplemented
50#19099236C22112yescomplemented
51#19099232C2212yes—
52Q8×C22⋊D79C2212yescomplemented
53#19099224C2212yescomplemented
54#19099220C2212yes—
55#19099213C2216yescomplemented
56#19099212C2216yescomplemented
57#19099207C2216yes—
58#19099201C2216yescomplemented
59#19099200C22112yescomplemented
60D4×C22⋊D79C2216yes—
61#19099191C2213yescomplemented
62#19099191C2213yescomplemented
63#19099186C2216yescomplemented
64#19099182C2216yescomplemented
65#19099182C2216yescomplemented
66#19099180C2216yescomplemented
67#19099174C2216yescomplemented
68#19099173C2216yescomplemented
69#19099167C2216yescomplemented
70#19099166C2216yescomplemented
71#19099157C22112yescomplemented
72#19099148C22112yescomplemented
73#19099141C2213yes—
74#19099141C2213yescomplemented
75#19099137C2213yescomplemented
76#19099130C2213yes—
77#19099120C2213yescomplemented
78#19099118C2213yescomplemented
79#19099118C2213yescomplemented
80#19099115C2216yescomplemented
81#19099111C2213yescomplemented
82#19099111C2213yescomplemented
83#19099108C2216yescomplemented
84#19099099C2216yescomplemented
85#19099095C2216yescomplemented
86#19099095C2216yescomplemented
87#19099094C2216yescomplemented
88#19099094C2216yescomplemented
89#19099094C2216yescomplemented
90#19099092C2213yescomplemented
91#19099092C2216yescomplemented
92#19099092C2213yescomplemented
93#19099092C2216yescomplemented
94#19099092C2216yescomplemented
95#19099092C2216yescomplemented
96#19099092C2213yescomplemented
97#19099092C2216yescomplemented
98#19099092C2216yescomplemented
99#19099092C2216yescomplemented
100#19099092C2211yescharacteristic, complemented
101#19099090C22112yescomplemented
102C2×#14579154C2216yescomplemented
103C2×#14579153C2213yescomplemented
104#19099073C2216yescomplemented
105#19099073C2216yescomplemented
106#19099070C2213yes—
107#19099070C2213yescomplemented
108#19099069C22112yescomplemented
109C2×#14579143C2216yescomplemented
110C2×#14579137C2213yescomplemented
111C2×#14579132C2213yes—
112#19099046C2211yescharacteristic
113#19099046C2211yescharacteristic
114#19099046C2213yescomplemented
115#19099046C2213yescomplemented
116#19099046C2216yescomplemented
117#19099046C2212yescomplemented
118#19099041C2213yescomplemented
119#19099041C2212yescomplemented
120#19099038C2213yescomplemented
121#19099038C2216yescomplemented
122#41×Dic79C2211yescharacteristic
123#41×Dic79C2213yescomplemented
124#41×Dic79C2213yescomplemented
125#41×Dic79C2212yescomplemented
126#41×Dic79C2216yescomplemented
127C4×#11929625C2211yescharacteristic, complemented
128C4×#11929625C2211yescharacteristic, complemented
129C4×#11929624C2213yescomplemented
130#19099031C2213yescomplemented
131C4×#11929623C2213yescomplemented
132C4×#11929623C2213yescomplemented
133C4×#11929623C2216yescomplemented
134C4×#11929623C2216yescomplemented
135C2×Q8×Dic79C2213yescomplemented
136C2×Q8×Dic79C2212yescomplemented
137C4×Q8×D79C2211yescharacteristic, complemented
138C4×Q8×D79C2211yescharacteristic, complemented
139C2×D4×Dic79C2213yescomplemented
140C2×D4×Dic79C2216yescomplemented
141C2×(C22⋊D79)⋊C4C2216yescomplemented
142C4×D4×D79C2213yescomplemented
143C4×D4×D79C2213yescomplemented
144C2×#14579117C2216yescomplemented
145#117×D79C2213yescomplemented
146C2×C42×D79C2213yescomplemented
147C2×2−1+4×C79C2211yescharacteristic
148C2×H(5,𝔽2)×C79C2211yescharacteristic
149#548×C79C2212yescomplemented
150#548×C79C2212yescomplemented
151#546×C79C2216yescomplemented
152#546×C79C2216yescomplemented
153#536×C79C2213yescomplemented
154#535×C79C2213yescomplemented
155#532×C79C2213yescomplemented
156C2×#124×C79C2213yescomplemented
157C4×#41×C79C2211yescharacteristic
158C2×#11929625C2311yescharacteristic
159C2×#11929624C2313yes—
160C2×#11929623C2313yes—
161C2×#11929623C2316yes—
162C2×#11929623C2316yes—
163#41×D79—28no—
164C2×Q8×D79C2311yescharacteristic
165C22×C22⋊D79C2316yes—
166C2×D4×D79C2313yes—
167C23×Dic79C2316yes—
168C22×C4×D79C2313yes—
169C22×C4×D79C2313yes—
170C22×C4×D79C2313yes—
171#14579161C2313yes—
172#14579161C2313yes—
173#14579160C2316yes—
174#14579160C2316yes—
175#14579159C2316yes—
176#14579157C2316yes—
177#14579156C23112yes—
178#14579156C23112yes—
179#14579154C23112yes—
180#14579154C23112yes—
181#14579154C23112yes—
182#14579154C2316yes—
183#14579154C23112yes—
184#14579154C23112yes—
185#14579154C2316yes—
186#14579154C2316yes—
187#14579154C2312yes—
188#14579153C2316yes—
189#14579153C2316yes—
190#14579153C2316yes—
191#14579153C2313yes—
192#14579153C2311yescharacteristic
193#14579152C2316yes—
194#14579152C2316yes—
195#14579152C2316yes—
196#14579152C2316yes—
197#14579151C23112yes—
198#14579151C23112yes—
199#14579150C2316yes—
200#14579148C2316yes—
201#14579148C2316yes—
202#14579148C2316yes—
203#14579147C23112yes—
204#14579147C23112yes—
205#14579145C23112yes—
206#14579145C23112yes—
207#14579144C23112yes—
208#14579143C23112yes—
209#14579143C23112yes—
210#14579143C2316yes—
211#14579143C23112yes—
212#14579143C2316yes—
213#14579143C2316yes—
214#14579143C2312yes—
215#14579142C23112yes—
216#14579142C23112yes—
217#14579142C2316yes—
218#14579142C2316yes—
219#14579141C2316yes—
220#14579141C2316yes—
221#14579140C2316yes—
222#14579140C2316yes—
223#14579140C2316yes—
224#14579140C2316yes—
225#14579138C23112yes—
226#14579138C23112yes—
227#14579138C23112yes—
228#14579138C23112yes—
229#14579137C2313yes—
230#14579137C2316yes—
231#14579137C2313yes—
232#14579137C2316yes—
233#14579137C2316yes—
234#14579137C2313yes—
235#14579137C2311yescharacteristic
236#14579135C2316yes—
237#14579135C2316yes—
238#14579133C23112yes—
239#14579133C23112yes—
240#14579133C23112yes—
241#14579133C23112yes—
242#14579132C2316yes—
243#14579132C2313yes—
244#14579132C2316yes—
245#14579132C2313yes—
246#14579132C2316yes—
247#14579132C2316yes—
248#14579132C2316yes—
249#14579132C2313yes—
250#14579132C2311yescharacteristic
251#14579130C23112yes—
252#14579129C2316yes—
253#14579129C2316yes—
254Q8×Dic79C2316yes—
255Q8×Dic79C2313yes—
256Q8×Dic79C2316yes—
257Q8×Dic79C2313yes—
258Q8×Dic79C2312yes—
259Q8×Dic79C2312yes—
260Q8×Dic79C2316yes—
261Q8×Dic79C2316yes—
262Q8×Dic79C2311yescharacteristic
263Q8×Dic79C2311yescharacteristic
264Q8×Dic79C2313yes—
265Q8×Dic79C2316yes—
266Q8×Dic79C2311yescharacteristic
267C4×Dic158C2313yes—
268C4×Dic158C2313yes—
269C4×Dic158C2316yes—
270C4×Dic158C2316yes—
271#14579126C2313yes—
272#14579126C2316yes—
273#14579126C2313yes—
274#14579126C2316yes—
275C4×D316C2313yes—
276C4×D316C2313yes—
277D4×Dic79C2316yes—
278D4×Dic79C2316yes—
279D4×Dic79C2316yes—
280D4×Dic79C2313yes—
281D4×Dic79C2316yes—
282D4×Dic79C2313yes—
283D4×Dic79C2316yes—
284D4×Dic79C23112yes—
285D4×Dic79C2316yes—
286D4×Dic79C2316yes—
287D4×Dic79C23112yes—
288D4×Dic79C2316yes—
289D4×Dic79C2316yes—
290D4×Dic79C2313yes—
291D4×Dic79C2313yes—
292D4×Dic79C2316yes—
293D4×Dic79C2313yes—
294D4×Dic79C2316yes—
295D4×Dic79C2316yes—
296D4×Dic79C2316yes—
297D4×Dic79C2311yescharacteristic
298#14579123C2313yes—
299#14579123C2313yes—
300C4×C22⋊D79C2316yes—
301C4×C22⋊D79C2316yes—
302C4×C22⋊D79C2316yes—
303C4×C22⋊D79C2316yes—
304C4×C22⋊D79C2316yes—
305C4×C22⋊D79C2316yes—
306(C22⋊D79)⋊C4C2316yes—
307(C22⋊D79)⋊C4C23112yes—
308(C22⋊D79)⋊C4C2316yes—
309(C22⋊D79)⋊C4C23112yes—
310(C22⋊D79)⋊C4C2316yes—
311(C22⋊D79)⋊C4C2316yes—
312(C22⋊D79)⋊C4C2316yes—
313(C22⋊D79)⋊C4C23112yes—
314(C22⋊D79)⋊C4C2312yes—
315#14579120C2313yes—
316#14579120C2316yes—
317#14579120C2316yes—
318#14579120C2313yes—
319#14579120C23112yes—
320#14579120C2316yes—
321#14579120C2316yes—
322#14579120C2313yes—
323#14579119C2316yes—
324#14579119C2313yes—
325#14579119C2313yes—
326#14579119C2316yes—
327#14579118C2316yes—
328#14579117C2316yes—
329#14579117C23112yes—
330#14579117C2316yes—
331#14579117C23112yes—
332#14579117C2316yes—
333#14579117C2316yes—
334#14579117C23112yes—
335#14579117C2312yes—
336C2×C4⋊Dic79C2313yes—
337C2×C4⋊Dic79C2313yes—
338C2×C4⋊Dic79C2316yes—
339C2×C4⋊Dic79C2316yes—
340C2×C4⋊Dic79C2316yes—
341C2×Dic79⋊C4C2316yes—
342C2×Dic79⋊C4C2316yes—
343C2×Dic79⋊C4C2316yes—
344C4⋊C4×D79C2313yes—
345C4⋊C4×D79C2313yes—
346C2×C22⋊Dic79C2316yes—
347C2×C22⋊Dic79C23112yes—
348C2×C22⋊Dic79C2316yes—
349C2×(C2×D79)⋊C4C2316yes—
350C22⋊C4×D79C2316yes—
351C2×C4×Dic79C2313yes—
352C2×C4×Dic79C2313yes—
353C2×C4×Dic79C2313yes—
354C2×C4×Dic79C2316yes—
355C2×C4×Dic79C2316yes—
356C2×C4×Dic79C2316yes—
357C42×D79C2311yescharacteristic
358C42×D79C2313yes—
359C42×D79C2313yes—
360C42×D79C2313yes—
361C42×D79C2313yes—
362C42×D79C2313yes—
363C42×D79C2313yes—
364C42×D79C2313yes—
3652−1+4×C79—28no—
366H(5,𝔽2)×C79—28no—
367C2×#41×C79C2313yes—
368C2×#41×C79C2313yes—
369C2×#41×C79C2316yes—
370C2×#41×C79C2312yes—
371C2×#41×C79C2311yescharacteristic
372C22×Q8×C79C2313yes—
373C22×Q8×C79C2312yes—
374C22×D4×C79C2316yes—
375C22×D4×C79C2313yes—
376C4⋊Q8×C79C2313yes—
377#127×C79C2313yes—
378#124×C79C2316yes—
379#124×C79C2313yes—
380#124×C79C2316yes—
381#124×C79C2316yes—
382#124×C79C2311yescharacteristic
383#123×C79C23112yes—
384C22⋊Q8×C79C2316yes—
385C22⋊Q8×C79C2316yes—
386#121×C79C2316yes—
387#121×C79C2316yes—
388#121×C79C2316yes—
389#121×C79C2316yes—
390#120×C79C23112yes—
391C4×Q8×C79C2311yescharacteristic
392C4×Q8×C79C2311yescharacteristic
393C4×D4×C79C2313yes—
394C4×D4×C79C2313yes—
395C4×D4×C79C2316yes—
396C4×D4×C79C2316yes—
397#117×C79C2313yes—
398C2×C22⋊C4×C79C2316yes—
399C2×C22⋊C4×C79C2316yes—
400C2×C42×C79C2313yes—
401C23×D79C2413yes—
402#11929625—24no—
403#11929624—212no—
404#11929623—212no—
405#11929623—412no—
406#11929623—412no—
407C2×Dic158C2413yes—
408C2×Dic158C2416yes—
409C2×Dic158C2416yes—
410Q8×D79—24no—
411C2×D316C2413yes—
412C2×C22⋊D79—412no—
413C2×C22⋊D79C2412yes—
414C2×C22⋊D79C2416yes—
415C2×C22⋊D79C2416yes—
416C2×C22⋊D79C2416yes—
417C2×C22⋊D79C2416yes—
418C2×C22⋊D79C24112yes—
419D4×D79—212no—
420C22×Dic79—412no—
421C22×Dic79C2412yes—
422C22×Dic79C2413yes—
423C22×Dic79C2416yes—
424C22×Dic79C2413yes—
425C22×Dic79C2416yes—
426C22×Dic79C2416yes—
427C22×Dic79C2413yes—
428C22×Dic79C2416yes—
429C22×Dic79C2416yes—
430C22×Dic79C24112yes—
431C2×C4×D79—212no—
432C2×C4×D79—46no—
433C2×C4×D79—46no—
434C2×C4×D79C2413yes—
435C2×C4×D79C2413yes—
436C2×C4×D79C2413yes—
437C2×C4×D79C2413yes—
438C2×C4×D79C2413yes—
439C2×C4×D79C2411yescharacteristic
440C2×C4×D79C2411yescharacteristic
441C2×C4×D79C2411yescharacteristic
442C2×C4×D79C2413yes—
443C2×C4×D79C2413yes—
444C2×C4×D79C2413yes—
445C2×C4×D79C2413yes—
446C4⋊Dic79C2413yes—
447C4⋊Dic79C2413yes—
448C4⋊Dic79C2413yes—
449C4⋊Dic79C2416yes—
450C4⋊Dic79C2416yes—
451C4⋊Dic79C2413yes—
452C4⋊Dic79C2416yes—
453C4⋊Dic79C24112yes—
454C4⋊Dic79C2416yes—
455C4⋊Dic79C2416yes—
456C4⋊Dic79C2416yes—
457C4⋊Dic79C2411yescharacteristic
458C4⋊Dic79C2412yes—
459C4⋊Dic79C2411yescharacteristic
460C4⋊Dic79C2416yes—
461Dic79⋊C4C2416yes—
462Dic79⋊C4C2416yes—
463Dic79⋊C4C2416yes—
464Dic79⋊C4C2416yes—
465Dic79⋊C4C2416yes—
466Dic79⋊C4C24112yes—
467Dic79⋊C4C24112yes—
468Dic79⋊C4C24112yes—
469Dic79⋊C4C2412yes—
470Dic79⋊C4C2412yes—
471Dic79⋊C4C2412yes—
472Dic79⋊C4C2416yes—
473Dic79⋊C4C2416yes—
474C22⋊Dic79C2416yes—
475C22⋊Dic79C2416yes—
476C22⋊Dic79C2416yes—
477C22⋊Dic79C2416yes—
478C22⋊Dic79C2416yes—
479C22⋊Dic79C24112yes—
480C22⋊Dic79C24112yes—
481C22⋊Dic79C2412yes—
482C22⋊Dic79C2416yes—
483C22⋊Dic79C2416yes—
484C22⋊Dic79C2416yes—
485C22⋊Dic79C2412yes—
486C22⋊Dic79C2416yes—
487(C2×D79)⋊C4C2416yes—
488(C2×D79)⋊C4C2416yes—
489(C2×D79)⋊C4C2416yes—
490(C2×D79)⋊C4C24112yes—
491(C2×D79)⋊C4C2412yes—
492(C2×D79)⋊C4C2416yes—
493(C2×D79)⋊C4C2416yes—
494C4×Dic79C2411yescharacteristic
495C4×Dic79C2411yescharacteristic
496C4×Dic79C2411yescharacteristic
497C4×Dic79C2413yes—
498C4×Dic79C2413yes—
499C4×Dic79C2413yes—
500C4×Dic79C2413yes—
501C4×Dic79C2413yes—
502C4×Dic79C2413yes—
503C4×Dic79C2413yes—
504C4×Dic79C2413yes—
505C4×Dic79C2413yes—
506C4×Dic79C2416yes—
507C4×Dic79C2412yes—
508C4×Dic79C24112yes—
509C4×Dic79C2416yes—
510C4×Dic79C2416yes—
511C4×Dic79C2416yes—
512C4×Dic79C2416yes—
513C24×C79C2416yes—
514#41×C79—28no—
515#41×C79—224no—
516#41×C79—212no—
517#41×C79—212no—
518#41×C79#4118yescomplemented
519C2×Q8×C79—28no—
520C2×Q8×C79—212no—
521C2×Q8×C79C2416yes—
522C2×Q8×C79C2413yes—
523C2×Q8×C79C2411yescharacteristic
524C2×Q8×C79C2411yescharacteristic
525C2×D4×C79—224no—
526C2×D4×C79—212no—
527C2×D4×C79C2416yes—
528C2×D4×C79C2416yes—
529C2×D4×C79C2416yes—
530C2×D4×C79C2413yes—
531C2×D4×C79C2411yescharacteristic
532C2×D4×C79C2416yes—
533C2×D4×C79C2416yes—
534C2×D4×C79C2413yes—
535C22×C4×C79C2416yes—
536C22×C4×C79C2416yes—
537C22×C4×C79C2416yes—
538C22×C4×C79C2413yes—
539C22×C4×C79C2413yes—
540C22×C4×C79C2413yes—
541C4⋊C4×C79C2413yes—
542C4⋊C4×C79C2413yes—
543C4⋊C4×C79C2416yes—
544C4⋊C4×C79C2416yes—
545C22⋊C4×C79C2416yes—
546C22⋊C4×C79C2416yes—
547C22⋊C4×C79C24112yes—
548C22⋊C4×C79C24112yes—
549C22⋊C4×C79C2416yes—
550C22⋊C4×C79C2412yes—
551C22⋊C4×C79C2412yes—
552C42×C79C2411yescharacteristic
553C42×C79C2413yes—
554C42×C79C2413yes—
555C42×C79C2413yes—
556C23×C79—212no—
557C23×C79—46no—
558C23×C79—46no—
559C23×C79C2516yes—
560C23×C79C2512yes—
561C23×C79C2513yes—
562C22×D79—26no—
563C22×D79—26no—
564C22×D79—43no—
565C22×D79C2513yes—
566C22×D79C2511yescharacteristic
567Q8×C79—212no—
568Q8×C79—26no—
569Q8×C79—22no—
570Q8×C79C2×#4114yes—
571D4×C79—212no—
572D4×C79—212no—
573D4×C79—212no—
574D4×C79—26no—
575D4×C79—22no—
576D4×C79—46no—
577D4×C79—46no—
578D4×C79C2×#41112yes—
579C2×C4×C79—212no—
580C2×C4×C79—212no—
581C2×C4×C79—212no—
582C2×C4×C79—43no—
583C2×C4×C79—43no—
584C2×C4×C79C2×#41112yes—
585C2×C4×C79C2516yes—
586C2×C4×C79C2512yes—
587C2×C4×C79C2511yescharacteristic
588C2×C4×C79C2511yescharacteristic
589C2×C4×C79C2513yes—
590C2×C4×C79C2513yes—
591C2×C4×C79C2513yes—
592C2×C4×C79C2511yescharacteristic
593C22⋊D79—212no—
594C22⋊D79—212no—
595C22⋊D79—24no—
596C22⋊D79—412no—
597C22⋊D79—46no—
598C22⋊D79—46no—
599C2×Dic79—26no—
600C2×Dic79—26no—
601C2×Dic79—212no—
602C2×Dic79—24no—
603C2×Dic79—43no—
604C2×Dic79—46no—
605C2×Dic79—412no—
606C2×Dic79—46no—
607C2×Dic79—46no—
608C2×Dic79—46no—
609C2×Dic79C2513yes—
610C2×Dic79C2513yes—
611C2×Dic79C2511yescharacteristic
612C2×Dic79C2511yescharacteristic
613C2×Dic79C2512yes—
614C2×Dic79C2512yes—
615C2×Dic79C2516yes—
616C2×Dic79C2513yes—
617C2×Dic79C2516yes—
618C2×Dic79C2511yescharacteristic
619D316—26no—
620C4×D79—22no—
621C4×D79—26no—
622C4×D79—22no—
623C4×D79—26no—
624C4×D79—26no—
625C4×D79—26no—
626C4×D79—22no—
627C4×D79—26no—
628C4×D79—43no—
629C4×D79—43no—
630C4×D79—43no—
631C4×D79—43no—
632Dic158—26no—
633Dic158—46no—
634Dic158—46no—
635C22×C79—23no—
636C22×C79—23no—
637C22×C79—22no—
638C22×C79—26no—
639C22×C79—26no—
640C22×C79—22no—
641C22×C79—22no—
642C22×C79—26no—
643C22×C79—812no—
644C22×C79C22×#4116yes—
645C22×C79C2611yescharacteristic
646C2×D79—21no—
647C2×D79—21no—
648C2×D79—23no—
649C2×D79—23no—
650C2×D79—23no—
651C2×D79—412no—
652C2×D79#58512yes—
653C4×C79—22no—
654C4×C79—26no—
655C4×C79—21no—
656C4×C79—21no—
657C4×C79—23no—
658C4×C79—23no—
659C4×C79C22×#4116yes—
660C4×C79C22×#4112yes—
661Dic79—23no—
662Dic79—21no—
663Dic79—26no—
664Dic79—22no—
665Dic79—22no—
666Dic79—26no—
667Dic79—21no—
668Dic79—23no—
669Dic79—23no—
670Dic79#58512yes—
671#62810—791nomaximal, Sylow
672C2×C79—26no—
673C2×C79—42no—
674C2×C79—46no—
675C2×C79C23×#4111yescharacteristic
676C2×C79C2×#58511yescharacteristic
677C2×C79C2×#58511yescharacteristic
678D79—22no—
679D79—43no—
680#3524—792no—
681#3521—796no—
682#3516—792no—
683#3513—796no—
684#3512—793no—
685#3510—793no—
686#3504—791no—
687#3500D7911yescharacteristic, complemented
688#3495—793no—
689#3494—793no—
690#3489—791no—
691#3488—791no—
692#3482—792no—
693#3481—796no—
694#3480—792no—
695#3475—796no—
696#3461—793no—
697#3460—793no—
698#3444—793no—
699C2×#529—793no—
700C4×2−1+4—791no—
701C4×H(5,𝔽2)—791no—
702C2×C4×#41—791no—
703C79#6281011yescharacteristic, complemented, Sylow
704C2×2−1+4C2×D7911yescharacteristic
705C2×H(5,𝔽2)C2×D7911yescharacteristic
706C22×#41—791no—
707#559—796no—
708#559—796no—
709#557—792no—
710#557—792no—
711#556—796no—
712#556—796no—
713#556—796no—
714#555—796no—
715#554—796no—
716#554—796no—
717#554—796no—
718#553—7912no—
719#553—7912no—
720#553—796no—
721#553—796no—
722#553—796no—
723#553—796no—
724#552—7912no—
725#552—796no—
726#552—796no—
727#552—796no—
728#552—796no—
729#551—7912no—
730#551—7912no—
731#551—7912no—
732#551—7912no—
733#550—792no—
734D4×Q8—792no—
735#548—792no—
736#548—792no—
737#548C2×D7912yescomplemented
738#548C2×D7912yescomplemented
739#547—796no—
740#547—796no—
741#546—796no—
742#546—796no—
743#546—7912no—
744#546C2×D7916yescomplemented
745#546C2×D7916yescomplemented
746D42—796no—
747#544—793no—
748#544—793no—
749#542—796no—
750#542—796no—
751#542—796no—
752#542—796no—
753#541—796no—
754#541—796no—
755#540—796no—
756#540—796no—
757#539—7912no—
758#538—7912no—
759#537—793no—
760#537—793no—
761#536—793no—
762#536C2×D7913yescomplemented
763#535—793no—
764#535C2×D7913yescomplemented
765#533—793no—
766#533—793no—
767#533—796no—
768#533—793no—
769#532—793no—
770#532—793no—
771#532—796no—
772#532C2×D7913yescomplemented
773#529—793no—
774#529—796no—
775#529—796no—
776#529—796no—
777#529—796no—
778#529—796no—
779#529—796no—
780#529—796no—
781#529—791no—
782#529—793no—
783#529—793no—
784#529—7912no—
785#529—796no—
786#529—796no—
787#529—796no—
788#529—796no—
789#529—796no—
790#529—796no—
791C2×#126—796no—
792C2×#125—793no—
793C2×#124C2×D7913yescomplemented
794#525—793no—
795#525—793no—
796#525—796no—
797#525—796no—
798#525—7912no—
799C2×#123—796no—
800C2×C22⋊Q8—793no—
801C2×#121—793no—
802#520—791no—
803#520—793no—
804#520—792no—
805#520—791no—
806#520—793no—
807#520—796no—
808#519—793no—
809#519—792no—
810#518—793no—
811#518—796no—
812C4×#41—791no—
813C4×#41—793no—
814C4×#41—792no—
815C4×#41—793no—
816C4×#41—796no—
817C4×#41—791no—
818C4×#41—791no—
819C4×#41—793no—
820C4×#41—793no—
821C4×#41—796no—
822C4×#41—796no—
823C4×#41—793no—
824C4×#41—793no—
825C4×#41C2×D7911yescharacteristic
826C2×C4×Q8—793no—
827C2×C4×Q8—792no—
828C2×C4×Q8—791no—
829C2×C4×Q8—791no—
830C2×C4×D4—793no—
831C2×C4×D4—796no—
832C2×C4×D4—793no—
833C2×C4×D4—793no—
834C2×C4×D4—796no—
835C2×#117—793no—
836C2×#117—796no—
837C22×C42—793no—
8382−1+4—28no—
839H(5,𝔽2)—28no—
840C2×#41—791no—
841C2×#41—796no—
842C2×#41—796no—
843C2×#41—793no—
844C2×#41—793no—
845C2×#41—1588no—
846C2×#41C22×D7913yes—
847C2×#41C22×D7913yes—
848C2×#41C22×D7916yes—
849C2×#41C22×D7912yes—
850C2×#41C22×D7911yescharacteristic
851C22×Q8—791no—
852C22×Q8C22×D7913yes—
853C22×Q8C22×D7912yes—
854C22×D4—796no—
855C22×D4—793no—
856C22×D4C22×D7913yes—
857C22×D4C22×D7916yes—
858C23×C4—796no—
859C23×C4—793no—
860C23×C4—793no—
861C23×C4—793no—
862C4⋊Q8—796no—
863C4⋊Q8—796no—
864C4⋊Q8—796no—
865C4⋊Q8—793no—
866C4⋊Q8—793no—
867C4⋊Q8C22×D7913yes—
868#127—796no—
869#127C22×D7913yes—
870#126—7912no—
871#126—7912no—
872#126—796no—
873#126—7912no—
874#126—7912no—
875#126—7912no—
876#126—792no—
877#126—796no—
878#126—796no—
879#126—7912no—
880#126—7912no—
881#125—796no—
882#125—796no—
883#125—796no—
884#125—7912no—
885#125—796no—
886#125—7912no—
887#125—793no—
888#125—796no—
889#125—796no—
890#125—796no—
891#125—791no—
892#124—796no—
893#124—796no—
894#124—796no—
895#124—796no—
896#124—7912no—
897#124—7912no—
898#124C22×D7913yes—
899#124C22×D7916yes—
900#124C22×D7916yes—
901#124C22×D7916yes—
902#124C22×D7911yescharacteristic
903#123—796no—
904#123—796no—
905#123—7912no—
906#123—7912no—
907#123—7912no—
908#123—796no—
909#123—7912no—
910#123—7912no—
911#123—7912no—
912#123—792no—
913#123—796no—
914#123—796no—
915#123—7912no—
916#123—7912no—
917#123C22×D79112yes—
918C22⋊Q8—793no—
919C22⋊Q8—796no—
920C22⋊Q8—796no—
921C22⋊Q8—796no—
922C22⋊Q8—791no—
923C22⋊Q8—793no—
924C22⋊Q8—793no—
925C22⋊Q8—796no—
926C22⋊Q8—796no—
927C22⋊Q8—796no—
928C22⋊Q8—796no—
929C22⋊Q8—796no—
930C22⋊Q8—796no—
931C22⋊Q8—7912no—
932C22⋊Q8—7912no—
933C22⋊Q8—7912no—
934C22⋊Q8—7912no—
935C22⋊Q8C22×D7916yes—
936C22⋊Q8C22×D7916yes—
937#121—793no—
938#121—796no—
939#121—796no—
940#121—796no—
941#121—791no—
942#121—793no—
943#121—793no—
944#121—796no—
945#121—796no—
946#121—7912no—
947#121—7912no—
948#121—7912no—
949#121—7912no—
950#121—796no—
951#121—796no—
952#121C22×D7916yes—
953#121C22×D7916yes—
954#121C22×D7916yes—
955#121C22×D7916yes—
956#120—7912no—
957#120—796no—
958#120—796no—
959#120C22×D79112yes—
960C4×Q8—791no—
961C4×Q8—793no—
962C4×Q8—796no—
963C4×Q8—791no—
964C4×Q8—796no—
965C4×Q8—796no—
966C4×Q8—792no—
967C4×Q8—796no—
968C4×Q8—791no—
969C4×Q8—793no—
970C4×Q8—796no—
971C4×Q8—793no—
972C4×Q8—792no—
973C4×Q8—793no—
974C4×Q8—793no—
975C4×Q8—796no—
976C4×Q8—796no—
977C4×Q8—793no—
978C4×Q8—793no—
979C4×Q8—796no—
980C4×Q8—796no—
981C4×Q8C22×D7911yescharacteristic
982C4×Q8C22×D7911yescharacteristic
983C4×D4—793no—
984C4×D4—796no—
985C4×D4—793no—
986C4×D4—796no—
987C4×D4—793no—
988C4×D4—796no—
989C4×D4—796no—
990C4×D4—796no—
991C4×D4—7912no—
992C4×D4—796no—
993C4×D4—796no—
994C4×D4—791no—
995C4×D4—796no—
996C4×D4—793no—
997C4×D4—796no—
998C4×D4—796no—
999C4×D4—793no—
1000C4×D4—796no—
1001C4×D4—7912no—
1002C4×D4—796no—
1003C4×D4—796no—
1004C4×D4—796no—
1005C4×D4—796no—
1006C4×D4—796no—
1007C4×D4—796no—
1008C4×D4—796no—
1009C4×D4—796no—
1010C4×D4—793no—
1011C4×D4—793no—
1012C4×D4—796no—
1013C4×D4—796no—
1014C4×D4—796no—
1015C4×D4—7912no—
1016C4×D4—7912no—
1017C4×D4—7912no—
1018C4×D4—792no—
1019C4×D4—796no—
1020C4×D4—796no—
1021C4×D4—793no—
1022C4×D4—793no—
1023C4×D4C22×D7913yes—
1024C4×D4C22×D7913yes—
1025C4×D4C22×D7916yes—
1026C4×D4C22×D7916yes—
1027#117—793no—
1028#117—793no—
1029#117—796no—
1030#117—796no—
1031#117—793no—
1032#117—796no—
1033#117—7912no—
1034#117—796no—
1035#117—793no—
1036#117—793no—
1037#117—796no—
1038#117—796no—
1039#117—796no—
1040#117—796no—
1041#117—7912no—
1042#117—7912no—
1043#117—7912no—
1044#117—792no—
1045#117—796no—
1046#117—796no—
1047#117—796no—
1048#117C22×D7913yes—
1049C2×C4⋊C4—796no—
1050C2×C4⋊C4—796no—
1051C2×C4⋊C4—793no—
1052C2×C4⋊C4—796no—
1053C2×C4⋊C4—796no—
1054C2×C4⋊C4—793no—
1055C2×C4⋊C4—796no—
1056C2×C4⋊C4—796no—
1057C2×C4⋊C4—793no—
1058C2×C4⋊C4—793no—
1059C2×C22⋊C4—796no—
1060C2×C22⋊C4—796no—
1061C2×C22⋊C4—7912no—
1062C2×C22⋊C4—796no—
1063C2×C22⋊C4—796no—
1064C2×C22⋊C4C22×D7916yes—
1065C2×C22⋊C4C22×D7916yes—
1066C2×C42—793no—
1067C2×C42—796no—
1068C2×C42—793no—
1069C2×C42—796no—
1070C2×C42—796no—
1071C2×C42—793no—
1072C2×C42—793no—
1073C2×C42—793no—
1074C2×C42—793no—
1075C2×C42—793no—
1076C2×C42—793no—
1077C2×C42—793no—
1078C2×C42—793no—
1079C2×C42—791no—
1080C2×C42C22×D7913yes—
1081C24—793no—
1082C24C23×D7916yes—
1083#41—28no—
1084#41—224no—
1085#41—212no—
1086#41—212no—
1087#41—31612no—
1088#41—31612no—
1089#41—1584no—
1090#41—15812no—
1091#41—15812no—
1092#41#1192962318yescomplemented
1093C2×Q8—28no—
1094C2×Q8—212no—
1095C2×Q8—796no—
1096C2×Q8—796no—
1097C2×Q8—793no—
1098C2×Q8—1584no—
1099C2×Q8C23×D7913yes—
1100C2×Q8C23×D7911yescharacteristic
1101C2×Q8C23×D7916yes—
1102C2×Q8C23×D7911yescharacteristic
1103C2×D4—224no—
1104C2×D4—212no—
1105C2×D4—31612no—
1106C2×D4—796no—
1107C2×D4—796no—
1108C2×D4—7912no—
1109C2×D4—792no—
1110C2×D4—796no—
1111C2×D4—796no—
1112C2×D4—793no—
1113C2×D4—15812no—
1114C2×D4C23×D7916yes—
1115C2×D4C23×D7916yes—
1116C2×D4C23×D7913yes—
1117C2×D4C23×D7911yescharacteristic
1118C2×D4C23×D7916yes—
1119C2×D4C23×D7916yes—
1120C2×D4C23×D7916yes—
1121C2×D4C23×D7913yes—
1122C22×C4—3166no—
1123C22×C4—3166no—
1124C22×C4—31612no—
1125C22×C4—793no—
1126C22×C4—796no—
1127C22×C4—796no—
1128C22×C4—796no—
1129C22×C4—796no—
1130C22×C4—7912no—
1131C22×C4—793no—
1132C22×C4—793no—
1133C22×C4—793no—
1134C22×C4—793no—
1135C22×C4—793no—
1136C22×C4—792no—
1137C22×C4—793no—
1138C22×C4—796no—
1139C22×C4—791no—
1140C22×C4—791no—
1141C22×C4—791no—
1142C22×C4—793no—
1143C22×C4—793no—
1144C22×C4—793no—
1145C22×C4—793no—
1146C22×C4—793no—
1147C22×C4—15812no—
1148C22×C4C23×D7916yes—
1149C22×C4C23×D7916yes—
1150C22×C4C23×D7916yes—
1151C22×C4C23×D7913yes—
1152C22×C4C23×D7913yes—
1153C22×C4C23×D7913yes—
1154C4⋊C4—796no—
1155C4⋊C4—796no—
1156C4⋊C4—796no—
1157C4⋊C4—796no—
1158C4⋊C4—796no—
1159C4⋊C4—7912no—
1160C4⋊C4—7912no—
1161C4⋊C4—7912no—
1162C4⋊C4—792no—
1163C4⋊C4—792no—
1164C4⋊C4—792no—
1165C4⋊C4—796no—
1166C4⋊C4—796no—
1167C4⋊C4—793no—
1168C4⋊C4—793no—
1169C4⋊C4—796no—
1170C4⋊C4—793no—
1171C4⋊C4—796no—
1172C4⋊C4—796no—
1173C4⋊C4—793no—
1174C4⋊C4—7912no—
1175C4⋊C4—796no—
1176C4⋊C4—791no—
1177C4⋊C4—792no—
1178C4⋊C4—791no—
1179C4⋊C4—796no—
1180C4⋊C4—796no—
1181C4⋊C4—796no—
1182C4⋊C4C23×D7913yes—
1183C4⋊C4C23×D7913yes—
1184C4⋊C4C23×D7916yes—
1185C4⋊C4C23×D7916yes—
1186C22⋊C4—796no—
1187C22⋊C4—796no—
1188C22⋊C4—796no—
1189C22⋊C4—796no—
1190C22⋊C4—7912no—
1191C22⋊C4—796no—
1192C22⋊C4—7912no—
1193C22⋊C4—796no—
1194C22⋊C4—796no—
1195C22⋊C4—792no—
1196C22⋊C4—792no—
1197C22⋊C4—796no—
1198C22⋊C4—796no—
1199C22⋊C4—796no—
1200C22⋊C4—796no—
1201C22⋊C4—796no—
1202C22⋊C4—7912no—
1203C22⋊C4—792no—
1204C22⋊C4—796no—
1205C22⋊C4—796no—
1206C22⋊C4C23×D7916yes—
1207C22⋊C4C23×D7916yes—
1208C22⋊C4C23×D7916yes—
1209C22⋊C4C23×D79112yes—
1210C22⋊C4C23×D79112yes—
1211C22⋊C4C23×D7912yes—
1212C22⋊C4C23×D7912yes—
1213C42—791no—
1214C42—793no—
1215C42—791no—
1216C42—791no—
1217C42—793no—
1218C42—792no—
1219C42—793no—
1220C42—796no—
1221C42—793no—
1222C42—793no—
1223C42—793no—
1224C42—793no—
1225C42—793no—
1226C42—793no—
1227C42—796no—
1228C42—7912no—
1229C42—796no—
1230C42—796no—
1231C42—796no—
1232C42C23×D7911yescharacteristic
1233C42C23×D7913yes—
1234C42C23×D7913yes—
1235C42C23×D7913yes—
1236C23—212no—
1237C23—46no—
1238C23—46no—
1239C23—3163no—
1240C23—791no—
1241C23—793no—
1242C23—1586no—
1243C23—1586no—
1244C23C24×D7916yes—
1245C23C24×D7912yes—
1246C23C24×D7913yes—
1247Q8—212no—
1248Q8—26no—
1249Q8—22no—
1250Q8—3166no—
1251Q8—3166no—
1252Q8—1586no—
1253Q8C2×#1192962314yes—
1254D4—212no—
1255D4—212no—
1256D4—212no—
1257D4—26no—
1258D4—22no—
1259D4—46no—
1260D4—46no—
1261D4—31612no—
1262D4—3166no—
1263D4—3166no—
1264D4—15812no—
1265D4—1584no—
1266D4—15812no—
1267D4—1586no—
1268D4C2×#11929623112yes—
1269C2×C4—212no—
1270C2×C4—212no—
1271C2×C4—212no—
1272C2×C4—43no—
1273C2×C4—43no—
1274C2×C4—3163no—
1275C2×C4—3163no—
1276C2×C4—3163no—
1277C2×C4—3163no—
1278C2×C4—3163no—
1279C2×C4—31612no—
1280C2×C4—3166no—
1281C2×C4—3166no—
1282C2×C4—3166no—
1283C2×C4—3166no—
1284C2×C4—791no—
1285C2×C4—791no—
1286C2×C4—791no—
1287C2×C4—793no—
1288C2×C4—793no—
1289C2×C4—792no—
1290C2×C4—792no—
1291C2×C4—793no—
1292C2×C4—796no—
1293C2×C4—796no—
1294C2×C4—1582no—
1295C2×C4—1586no—
1296C2×C4—1582no—
1297C2×C4—1586no—
1298C2×C4—1586no—
1299C2×C4—15812no—
1300C2×C4—1584no—
1301C2×C4—1586no—
1302C2×C4—1582no—
1303C2×C4—1586no—
1304C2×C4—1586no—
1305C2×C4—1586no—
1306C2×C4C2×#11929623112yes—
1307C2×C4C24×D7911yescharacteristic
1308C2×C4C24×D7911yescharacteristic
1309C2×C4C24×D7916yes—
1310C2×C4C24×D7912yes—
1311C2×C4C24×D7913yes—
1312C2×C4C24×D7913yes—
1313C2×C4C24×D7913yes—
1314C2×C4C24×D7911yescharacteristic
1315C22—23no—
1316C22—23no—
1317C22—22no—
1318C22—26no—
1319C22—22no—
1320C22—26no—
1321C22—26no—
1322C22—22no—
1323C22—812no—
1324C22—31612no—
1325C22—792no—
1326C22—1583no—
1327C22—1583no—
1328C22—1583no—
1329C22—1581no—
1330C22—1581no—
1331C22C22×#1192962316yes—
1332C22C25×D7911yescharacteristic
1333C4—22no—
1334C4—26no—
1335C4—21no—
1336C4—21no—
1337C4—23no—
1338C4—23no—
1339C4—792no—
1340C4—1581no—
1341C4—1583no—
1342C4—1583no—
1343C4—1581no—
1344C4—1583no—
1345C4—1586no—
1346C4—1586no—
1347C4—1582no—
1348C4—1582no—
1349C4C22×#1192962316yes—
1350C4C22×#1192962312yes—
1351C2—26no—
1352C2—46no—
1353C2—42no—
1354C2—3163no—
1355C2—1582no—
1356C2C23×#1192962311yescharacteristic
1357C2#585×D7911yescharacteristic
1358C2#585×D7911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3500C2
hypercenter#3500D79
hypocenterC79#62810
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. #23777502C2semidirect
2. #23777457C2semidirect
3. #23777386C2semidirect
4. #23777329C2semidirect
5. #23777320C2semidirect
6. #23777294C2semidirect
7. #23777226C2semidirect
8. #23777149C2semidirect
9. #23777132C2semidirect
10. #23777073C2semidirect
11. #23777062C2semidirect
12. #23777016C2semidirect
13. #23777005C2semidirect
14. #23776990C2semidirect
15. #23776951C2semidirect
16. #23776824C2semidirect
17. #23776813C2semidirect
18. #23776695C2semidirect
19. C2×#19099092C2semidirect
20. 2−1+4×Dic79C2semidirect
21. H(5,𝔽2)×Dic79C2semidirect
22. C4×#41×D79C2semidirect
23. C79×#3500C2semidirect
25. #19099295C22semidirect
26. #19099295C22semidirect
27. #19099289C22semidirect
28. #19099289C22semidirect
29. #19099284C22semidirect
30. #19099282C22semidirect
31. #19099282C22semidirect
32. #19099277C22semidirect
33. #19099272C22semidirect
34. #19099272C22semidirect
35. #19099271C22semidirect
36. #19099265C22semidirect
37. #19099260C22semidirect
38. #19099259C22semidirect
39. #19099259C22semidirect
40. #19099256C22semidirect
41. #19099256C22semidirect
42. #19099255C22semidirect
43. #19099253C22semidirect
44. #19099253C22semidirect
45. #19099250C22semidirect
46. #19099247C22semidirect
47. #19099244C22semidirect
48. #19099239C22semidirect
49. #19099239C22semidirect
50. #19099236C22semidirect
52. Q8×C22⋊D79C22semidirect
53. #19099224C22semidirect
55. #19099213C22semidirect
56. #19099212C22semidirect
58. #19099201C22semidirect
59. #19099200C22semidirect
61. #19099191C22semidirect
62. #19099191C22semidirect
63. #19099186C22semidirect
64. #19099182C22semidirect
65. #19099182C22semidirect
66. #19099180C22semidirect
67. #19099174C22semidirect
68. #19099173C22semidirect
69. #19099167C22semidirect
70. #19099166C22semidirect
71. #19099157C22semidirect
72. #19099148C22semidirect
74. #19099141C22semidirect
75. #19099137C22semidirect
77. #19099120C22semidirect
78. #19099118C22semidirect
79. #19099118C22semidirect
80. #19099115C22semidirect
81. #19099111C22semidirect
82. #19099111C22semidirect
83. #19099108C22semidirect
84. #19099099C22semidirect
85. #19099095C22semidirect
86. #19099095C22semidirect
87. #19099094C22semidirect
88. #19099094C22semidirect
89. #19099094C22semidirect
90. #19099092C22semidirect
91. #19099092C22semidirect
92. #19099092C22semidirect
93. #19099092C22semidirect
94. #19099092C22semidirect
95. #19099092C22semidirect
96. #19099092C22semidirect
97. #19099092C22semidirect
98. #19099092C22semidirect
99. #19099092C22semidirect
100. #19099092C22semidirect
101. #19099090C22semidirect
102. C2×#14579154C22semidirect
103. C2×#14579153C22semidirect
104. #19099073C22semidirect
105. #19099073C22semidirect
107. #19099070C22semidirect
108. #19099069C22semidirect
109. C2×#14579143C22semidirect
110. C2×#14579137C22semidirect
114. #19099046C22semidirect
115. #19099046C22semidirect
116. #19099046C22semidirect
117. #19099046C22semidirect
118. #19099041C22semidirect
119. #19099041C22semidirect
120. #19099038C22semidirect
121. #19099038C22semidirect
123. #41×Dic79C22semidirect
124. #41×Dic79C22semidirect
125. #41×Dic79C22semidirect
126. #41×Dic79C22semidirect
127. C4×#11929625C22semidirect
128. C4×#11929625C22semidirect
129. C4×#11929624C22semidirect
130. #19099031C22semidirect
131. C4×#11929623C22semidirect
132. C4×#11929623C22semidirect
133. C4×#11929623C22semidirect
134. C4×#11929623C22semidirect
135. C2×Q8×Dic79C22semidirect
136. C2×Q8×Dic79C22semidirect
137. C4×Q8×D79C22semidirect
138. C4×Q8×D79C22semidirect
139. C2×D4×Dic79C22semidirect
140. C2×D4×Dic79C22semidirect
141. C2×(C22⋊D79)⋊C4C22semidirect
142. C4×D4×D79C22semidirect
143. C4×D4×D79C22semidirect
144. C2×#14579117C22semidirect
145. #117×D79C22semidirect
146. C2×C42×D79C22semidirect
149. #548×C79C22semidirect
150. #548×C79C22semidirect
151. #546×C79C22semidirect
152. #546×C79C22semidirect
153. #536×C79C22semidirect
154. #535×C79C22semidirect
155. #532×C79C22semidirect
156. C2×#124×C79C22semidirect
518. #41×C79#41semidirect
687. #3500D79semidirect
703. C79#62810semidirect
737. #548C2×D79semidirect
738. #548C2×D79semidirect
744. #546C2×D79semidirect
745. #546C2×D79semidirect
762. #536C2×D79semidirect
764. #535C2×D79semidirect
772. #532C2×D79semidirect
793. C2×#124C2×D79semidirect
1092. #41#11929623semidirect

Maximal subgroups

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

subgroupindex
#237775022
#237774572
#237773862
#237773292
#237773202
#237772942
#237772262
#237771492
#237771322
#237770732
#237770622
#237770162
#237770052
#237769902
#237769512
#237768242
#237768132
#237766952
C2×#190990922
2−1+4×Dic792
H(5,𝔽2)×Dic792
C4×#41×D792
C79×#35002
#6281079