Finite Group Databasebeta

← #35196797

Subgroups — #35196797

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#23777511C212yesmaximal, complemented
2#23777470C216yesmaximal, complemented
3#23777395C212yesmaximal, complemented
4#23777342C216yesmaximal, complemented
5#23777317C213yesmaximal, complemented
6#23777297C213yesmaximal, complemented
7#23777222C211yesmaximal, characteristic, complemented
8#23777194C211yesmaximal, characteristic, complemented
9#23777142C213yesmaximal, complemented
10#23777136C213yesmaximal, complemented
11#23777073C211yesmaximal, characteristic, complemented
12#23777070C211yesmaximal, characteristic, complemented
13#23777017C212yesmaximal, complemented
14#23777010C216yesmaximal, complemented
15#23776995C212yesmaximal, complemented
16#23776962C216yesmaximal, complemented
17#23776833C213yesmaximal, complemented
18#23776816C213yesmaximal, complemented
19#23776693C213yesmaximal, complemented
20C2×#19099100C213yesmaximal, complemented
21C4×#14579207C211yesmaximal, characteristic, complemented
22C4×#41×D79C211yesmaximal, characteristic, complemented
23C4×2−1+4×C79C211yesmaximal, characteristic, complemented
24C2×#14579207C2211yescharacteristic
25C2×#41×D79C2211yescharacteristic
26#19099298C2216yescomplemented
27#19099298C2216yescomplemented
28#19099292C2212yescomplemented
29#19099289C2212yescomplemented
30#19099286C2216yescomplemented
31#19099285C2216yescomplemented
32#19099285C2216yescomplemented
33#19099276C2216yescomplemented
34#19099273C2216yescomplemented
35#19099272C2216yescomplemented
36#19099270C2216yescomplemented
37#19099262C22112yescomplemented
38#19099261C2216yescomplemented
39#19099261C2216yescomplemented
40#19099259C22112yescomplemented
41#19099257C2216yescomplemented
42#19099257C2216yescomplemented
43#19099254C2216yescomplemented
44#19099254C2216yescomplemented
45#19099252C2216yescomplemented
46#19099248C2216yescomplemented
47#19099246C22112yescomplemented
48#19099242C22112yescomplemented
49#19099237C22112yescomplemented
50#19099237C22112yescomplemented
51#19099237C22112yescomplemented
52#19099235C2212yes—
53Q8×C22⋊D79C2212yescomplemented
54#19099225C2212yes—
55#19099224C2212yescomplemented
56#19099224C2212yescomplemented
57#19099224C2212yescomplemented
58#19099214C2216yescomplemented
59#19099212C2216yescomplemented
60#19099209C22112yescomplemented
61#19099208C2216yes—
62#19099201C2216yescomplemented
63#19099201C2216yescomplemented
64#19099201C2216yescomplemented
65D4×D316C2216yes—
66#19099194C2213yescomplemented
67#19099191C2213yescomplemented
68#19099185C2216yescomplemented
69#19099185C2216yescomplemented
70#19099185C2216yescomplemented
71#19099184C2216yescomplemented
72#19099171C2216yescomplemented
73#19099171C2216yescomplemented
74#19099168C2216yescomplemented
75#19099164C2216yescomplemented
76#19099160C22112yescomplemented
77#19099146C22112yescomplemented
78#19099144C2213yes—
79#19099141C2213yescomplemented
80#19099137C2213yescomplemented
81#19099137C2213yescomplemented
82#19099132C2213yes—
83#19099127C2213yescomplemented
84#19099117C2213yescomplemented
85#19099117C2216yescomplemented
86#19099117C2213yescomplemented
87#19099116C2213yescomplemented
88#19099113C2216yescomplemented
89#19099110C2213yescomplemented
90#19099110C2213yescomplemented
91#19099109C2213yescomplemented
92#19099100C2213yescomplemented
93#19099100C2216yescomplemented
94#19099100C2216yescomplemented
95#19099100C2216yescomplemented
96#19099100C2216yescomplemented
97#19099100C2216yescomplemented
98#19099100C2213yescomplemented
99#19099100C2216yescomplemented
100#19099100C2216yescomplemented
101#19099100C2216yescomplemented
102#19099097C2216yescomplemented
103#19099097C22112yescomplemented
104#19099095C2213yescomplemented
105#19099095C2211yescharacteristic, complemented
106#19099093C2216yescomplemented
107#19099093C2216yescomplemented
108#19099091C2216yescomplemented
109#19099091C2216yescomplemented
110C2×#14579156C2216yescomplemented
111C2×#14579152C2213yescomplemented
112C2×#14579150C2213yescomplemented
113#19099075C2213yes—
114#19099072C22112yescomplemented
115#19099072C2216yescomplemented
116#19099072C2216yescomplemented
117#19099070C2213yescomplemented
118C2×#14579146C2216yescomplemented
119C2×#14579137C2213yescomplemented
120C2×#14579136C2213yes—
121#19099046C2211yescharacteristic
122#19099045C2212yescomplemented
123#19099043C2213yescomplemented
124#19099037C2213yescomplemented
125#19099035C2216yescomplemented
126#41×Dic79C2211yescharacteristic
127C4×#11929625C2211yescharacteristic, complemented
128C4×#11929625C2211yescharacteristic, complemented
129C4×#11929625C2212yescomplemented
130C4×#11929624C2213yescomplemented
131C4×#11929624C2213yescomplemented
132C4×#11929624C2216yescomplemented
133C4×#11929624C2216yescomplemented
134#19099031C2213yescomplemented
135C4×#11929623C2213yescomplemented
136C4×#11929623C2213yescomplemented
137C4×Q8×D79C2211yescharacteristic, complemented
138C4×Q8×D79C2211yescharacteristic, complemented
139C2×C4×D316C2213yescomplemented
140C2×C4×D316C2216yescomplemented
141C4×D4×D79C2213yescomplemented
142C4×D4×D79C2213yescomplemented
143C4×D4×D79C2216yescomplemented
144C2×#14579118C2216yescomplemented
145#117×D79C2213yescomplemented
146C2×C42×D79C2213yescomplemented
147C2×2−1+4×C79C2211yescharacteristic
148#520×C79C2211yescharacteristic
149#520×C79C2213yescomplemented
150#520×C79C2216yescomplemented
151#519×C79C2213yescomplemented
152#519×C79C2212yescomplemented
153C4×#41×C79C2211yescharacteristic
154C4×#41×C79C2213yescomplemented
155C4×#41×C79C2216yescomplemented
156C2×C4×Q8×C79C2213yescomplemented
157C2×C4×Q8×C79C2212yescomplemented
158#14579207—28no—
159C2×#11929625C2312yes—
160C2×#11929625C2311yescharacteristic
161C2×#11929624C2313yes—
162C2×#11929624C2313yes—
163C2×#11929624C2316yes—
164C2×#11929624C2316yes—
165C2×#11929623C2313yes—
166#41×D79—28no—
167C2×Q8×D79C2311yescharacteristic
168C22×D316C2313yes—
169C22×D316C2316yes—
170C2×D4×D79C2316yes—
171C2×D4×D79C2313yes—
172C22×C4×D79C2313yes—
173C22×C4×D79C2313yes—
174C22×C4×D79C2313yes—
175C22×C4×D79C2316yes—
176#14579161C2316yes—
177#14579160C2313yes—
178#14579160C2313yes—
179#14579160C2316yes—
180#14579159C2313yes—
181#14579159C2316yes—
182#14579158C2316yes—
183#14579157C2313yes—
184#14579156C23112yes—
185#14579156C23112yes—
186#14579156C2316yes—
187#14579156C23112yes—
188#14579156C23112yes—
189#14579156C2316yes—
190#14579155C23112yes—
191#14579155C23112yes—
192#14579155C23112yes—
193#14579154C2316yes—
194#14579154C2312yes—
195#14579153C2316yes—
196#14579153C23112yes—
197#14579152C2316yes—
198#14579152C2316yes—
199#14579152C2316yes—
200#14579152C2316yes—
201#14579152C2313yes—
202#14579152C2311yescharacteristic
203#14579151C2316yes—
204#14579151C23112yes—
205#14579151C2316yes—
206#14579150C2316yes—
207#14579150C2316yes—
208#14579150C2316yes—
209#14579150C2316yes—
210#14579150C2313yes—
211#14579149C23112yes—
212#14579149C2316yes—
213#14579149C23112yes—
214#14579148C2311yescharacteristic
215#14579147C2316yes—
216#14579147C2316yes—
217#14579146C23112yes—
218#14579146C23112yes—
219#14579146C23112yes—
220#14579146C23112yes—
221#14579146C2316yes—
222#14579146C23112yes—
223#14579146C2316yes—
224#14579145C2316yes—
225#14579144C23112yes—
226#14579144C23112yes—
227#14579144C23112yes—
228#14579143C23112yes—
229#14579143C2316yes—
230#14579143C2312yes—
231#14579142C2316yes—
232#14579141C2313yes—
233#14579141C2316yes—
234#14579141C2311yescharacteristic
235#14579140C2316yes—
236#14579140C23112yes—
237#14579139C2316yes—
238#14579139C23112yes—
239#14579139C23112yes—
240#14579139C2316yes—
241#14579138C23112yes—
242#14579138C2316yes—
243#14579138C2316yes—
244#14579137C2313yes—
245#14579137C2316yes—
246#14579137C2316yes—
247#14579137C2316yes—
248#14579137C2316yes—
249#14579137C2316yes—
250#14579137C2313yes—
251#14579136C2316yes—
252#14579136C2316yes—
253#14579136C2313yes—
254#14579136C2316yes—
255#14579136C2316yes—
256#14579136C2313yes—
257#14579135C2316yes—
258#14579135C23112yes—
259#14579135C23112yes—
260#14579135C2316yes—
261#14579135C2316yes—
262#14579134C2316yes—
263#14579134C23112yes—
264#14579134C2316yes—
265#14579133C23112yes—
266#14579133C2316yes—
267#14579133C2316yes—
268#14579132C2313yes—
269#14579132C2311yescharacteristic
270#14579131C23112yes—
271#14579131C2316yes—
272#14579129C23112yes—
273#14579129C2316yes—
274Q8×Dic79C2311yescharacteristic
275Q8×Dic79C2311yescharacteristic
276Q8×Dic79C2312yes—
277C4×Dic158C2313yes—
278C4×Dic158C2313yes—
279C4×Dic158C2316yes—
280C4×Dic158C2316yes—
281C4×Dic158C2316yes—
282C4×Dic158C2313yes—
283C4×Dic158C2311yescharacteristic
284C4×Dic158C2316yes—
285#14579126C2313yes—
286#14579126C2313yes—
287C4×D316C2316yes—
288C4×D316C2313yes—
289C4×D316C2316yes—
290C4×D316C2313yes—
291C4×D316C2316yes—
292C4×D316C2316yes—
293C4×D316C23112yes—
294C4×D316C2316yes—
295C4×D316C23112yes—
296C4×D316C2316yes—
297C4×D316C2313yes—
298C4×D316C2316yes—
299C4×D316C2313yes—
300C4×D316C23112yes—
301D4×Dic79C2313yes—
302D4×Dic79C2313yes—
303D4×Dic79C2316yes—
304#14579123C2316yes—
305#14579123C2313yes—
306#14579123C2316yes—
307#14579123C2313yes—
308C4×C22⋊D79C2316yes—
309C4×C22⋊D79C2316yes—
310C4×C22⋊D79C2316yes—
311C4×C22⋊D79C2316yes—
312C4×C22⋊D79C2316yes—
313C4×C22⋊D79C2316yes—
314C4×C22⋊D79C2316yes—
315C4×C22⋊D79C2316yes—
316C4×C22⋊D79C2316yes—
317C4×C22⋊D79C2316yes—
318C4×C22⋊D79C2312yes—
319C4×C22⋊D79C2316yes—
320(C22⋊D79)⋊C4C2316yes—
321(C22⋊D79)⋊C4C2316yes—
322(C22⋊D79)⋊C4C23112yes—
323#14579120C2313yes—
324#14579120C2313yes—
325#14579120C2316yes—
326#14579120C2312yes—
327#14579119C2316yes—
328#14579119C2313yes—
329#14579119C2313yes—
330#14579118C2316yes—
331#14579118C2316yes—
332#14579118C2316yes—
333#14579118C2316yes—
334#14579118C23112yes—
335#14579118C23112yes—
336#14579118C2316yes—
337#14579118C23112yes—
338#14579118C2316yes—
339#14579117C2316yes—
340C2×C4⋊Dic79C2313yes—
341C2×C4⋊Dic79C2316yes—
342C2×Dic79⋊C4C2316yes—
343C2×Dic79⋊C4C2316yes—
344C4⋊C4×D79C2313yes—
345C4⋊C4×D79C2316yes—
346C4⋊C4×D79C2313yes—
347C2×(C2×D79)⋊C4C2316yes—
348C2×(C2×D79)⋊C4C2316yes—
349C2×(C2×D79)⋊C4C2316yes—
350C2×(C2×D79)⋊C4C2316yes—
351C2×(C2×D79)⋊C4C2316yes—
352C22⋊C4×D79C2316yes—
353C22⋊C4×D79C23112yes—
354C2×C4×Dic79C2313yes—
355C2×C4×Dic79C2313yes—
356C2×C4×Dic79C2313yes—
357C42×D79C2311yescharacteristic
358C42×D79C2313yes—
359C42×D79C2313yes—
360C42×D79C2313yes—
361C42×D79C2313yes—
362C42×D79C2313yes—
363C42×D79C2313yes—
364C42×D79C2313yes—
365C42×D79C2316yes—
3662−1+4×C79—28no—
367C2×#41×C79C2313yes—
368C2×#41×C79C2316yes—
369C2×#41×C79C2311yescharacteristic
370C22×Q8×C79C2313yes—
371C22×Q8×C79C2312yes—
372C4×Q8×C79C2316yes—
373C4×Q8×C79C2316yes—
374C4×Q8×C79C2313yes—
375C4×Q8×C79C2312yes—
376C4×Q8×C79C2311yescharacteristic
377C4×Q8×C79C2313yes—
378C4×Q8×C79C2316yes—
379C4×Q8×C79C2316yes—
380C4×Q8×C79C2311yescharacteristic
381C4×Q8×C79C2316yes—
382C4×D4×C79C2316yes—
383C4×D4×C79C2313yes—
384C4×D4×C79C2316yes—
385C4×D4×C79C23112yes—
386C4×D4×C79C2313yes—
387C4×D4×C79C2313yes—
388C4×D4×C79C2316yes—
389C4×D4×C79C2311yescharacteristic
390#117×C79C2316yes—
391#117×C79C2313yes—
392#117×C79C2313yes—
393#117×C79C23112yes—
394#117×C79C2316yes—
395C2×C4⋊C4×C79C2313yes—
396C2×C4⋊C4×C79C2316yes—
397C2×C4⋊C4×C79C2316yes—
398C2×C42×C79C2313yes—
399C2×C42×C79C2316yes—
400C2×C42×C79C2316yes—
401C23×D79C2413yes—
402C23×D79C2416yes—
403#11929625—24no—
404#11929625—28no—
405#11929624—212no—
406#11929624—212no—
407#11929624—412no—
408#11929624—412no—
409#11929623—212no—
410C2×Dic158C2413yes—
411C2×Dic158C2411yescharacteristic
412C2×Dic158C2416yes—
413C2×Dic158C2416yes—
414Q8×D79—24no—
415C2×D316—212no—
416C2×D316—412no—
417C2×D316C2413yes—
418C2×D316C2416yes—
419C2×D316C2413yes—
420C2×D316C2416yes—
421C2×D316C2416yes—
422C2×D316C24112yes—
423C2×C22⋊D79C2416yes—
424C2×C22⋊D79C2412yes—
425C2×C22⋊D79C2416yes—
426C2×C22⋊D79C2416yes—
427C2×C22⋊D79C2416yes—
428C2×C22⋊D79C2416yes—
429D4×D79—212no—
430D4×D79—224no—
431C22×Dic79C2413yes—
432C22×Dic79C2413yes—
433C22×Dic79C2413yes—
434C22×Dic79C2416yes—
435C2×C4×D79—212no—
436C2×C4×D79—46no—
437C2×C4×D79—412no—
438C2×C4×D79—46no—
439C2×C4×D79C2413yes—
440C2×C4×D79C2413yes—
441C2×C4×D79C2413yes—
442C2×C4×D79C2413yes—
443C2×C4×D79C2413yes—
444C2×C4×D79C2416yes—
445C2×C4×D79C2416yes—
446C2×C4×D79C2411yescharacteristic
447C2×C4×D79C2411yescharacteristic
448C2×C4×D79C2411yescharacteristic
449C2×C4×D79C2416yes—
450C2×C4×D79C2413yes—
451C2×C4×D79C2413yes—
452C2×C4×D79C2413yes—
453C2×C4×D79C2413yes—
454C2×C4×D79C24112yes—
455C4⋊Dic79C2416yes—
456C4⋊Dic79C2413yes—
457C4⋊Dic79C2413yes—
458C4⋊Dic79C2413yes—
459C4⋊Dic79C2416yes—
460C4⋊Dic79C24112yes—
461C4⋊Dic79C2411yescharacteristic
462C4⋊Dic79C2412yes—
463C4⋊Dic79C2412yes—
464C4⋊Dic79C2416yes—
465Dic79⋊C4C2416yes—
466Dic79⋊C4C2416yes—
467Dic79⋊C4C2416yes—
468Dic79⋊C4C2416yes—
469Dic79⋊C4C2416yes—
470Dic79⋊C4C24112yes—
471Dic79⋊C4C24112yes—
472Dic79⋊C4C2412yes—
473Dic79⋊C4C2412yes—
474Dic79⋊C4C2416yes—
475Dic79⋊C4C2416yes—
476Dic79⋊C4C2416yes—
477Dic79⋊C4C2416yes—
478Dic79⋊C4C2416yes—
479C22⋊Dic79C2416yes—
480C22⋊Dic79C2416yes—
481C22⋊Dic79C2412yes—
482C22⋊Dic79C2412yes—
483C22⋊Dic79C2412yes—
484C22⋊Dic79C2416yes—
485(C2×D79)⋊C4C2416yes—
486(C2×D79)⋊C4C24112yes—
487(C2×D79)⋊C4C2416yes—
488(C2×D79)⋊C4C2416yes—
489(C2×D79)⋊C4C2416yes—
490(C2×D79)⋊C4C2416yes—
491(C2×D79)⋊C4C2416yes—
492(C2×D79)⋊C4C2416yes—
493(C2×D79)⋊C4C2416yes—
494(C2×D79)⋊C4C24112yes—
495(C2×D79)⋊C4C24112yes—
496(C2×D79)⋊C4C24112yes—
497(C2×D79)⋊C4C24112yes—
498(C2×D79)⋊C4C2412yes—
499(C2×D79)⋊C4C2416yes—
500(C2×D79)⋊C4C2416yes—
501(C2×D79)⋊C4C2416yes—
502C4×Dic79C2411yescharacteristic
503C4×Dic79C2411yescharacteristic
504C4×Dic79C2411yescharacteristic
505C4×Dic79C2412yes—
506C4×Dic79C2413yes—
507C4×Dic79C2413yes—
508C4×Dic79C2413yes—
509C4×Dic79C2413yes—
510C4×Dic79C2413yes—
511C4×Dic79C2413yes—
512C4×Dic79C2413yes—
513C4×Dic79C2413yes—
514C4×Dic79C2413yes—
515C4×Dic79C2416yes—
516C4×Dic79C2416yes—
517#41×C79—224no—
518#41×C79—212no—
519#41×C79#4118yescomplemented
520C2×Q8×C79—28no—
521C2×Q8×C79—212no—
522C2×Q8×C79C2413yes—
523C2×Q8×C79C2416yes—
524C2×Q8×C79C2411yescharacteristic
525C2×D4×C79C2416yes—
526C2×D4×C79C2411yescharacteristic
527C2×D4×C79C2413yes—
528C22×C4×C79C2412yes—
529C22×C4×C79C2413yes—
530C22×C4×C79C2416yes—
531C22×C4×C79C2416yes—
532C22×C4×C79C2416yes—
533C22×C4×C79C2413yes—
534C22×C4×C79C2416yes—
535C22×C4×C79C2413yes—
536C4⋊C4×C79C2413yes—
537C4⋊C4×C79C2413yes—
538C4⋊C4×C79C2416yes—
539C4⋊C4×C79C2416yes—
540C4⋊C4×C79C24112yes—
541C4⋊C4×C79C2413yes—
542C4⋊C4×C79C2411yescharacteristic
543C4⋊C4×C79C2416yes—
544C22⋊C4×C79C2416yes—
545C22⋊C4×C79C2416yes—
546C22⋊C4×C79C2416yes—
547C22⋊C4×C79C2412yes—
548C42×C79C2411yescharacteristic
549C42×C79C2413yes—
550C42×C79C2416yes—
551C42×C79C2413yes—
552C42×C79C2413yes—
553C42×C79C24112yes—
554C42×C79C2416yes—
555C42×C79C2416yes—
556C23×C79C2512yes—
557C23×C79C2513yes—
558C22×D79—26no—
559C22×D79—212no—
560C22×D79—26no—
561C22×D79—43no—
562C22×D79—46no—
563C22×D79—46no—
564C22×D79C2516yes—
565C22×D79C2513yes—
566C22×D79C2511yescharacteristic
567Q8×C79—212no—
568Q8×C79—26no—
569Q8×C79C2×#4114yes—
570D4×C79—212no—
571D4×C79—22no—
572D4×C79C2×#41112yes—
573C2×C4×C79—212no—
574C2×C4×C79—212no—
575C2×C4×C79—26no—
576C2×C4×C79—24no—
577C2×C4×C79—43no—
578C2×C4×C79—46no—
579C2×C4×C79—46no—
580C2×C4×C79C2×#41112yes—
581C2×C4×C79C2511yescharacteristic
582C2×C4×C79C2513yes—
583C2×C4×C79C2513yes—
584C2×C4×C79C2516yes—
585C2×C4×C79C2516yes—
586C2×C4×C79C2512yes—
587C2×C4×C79C2513yes—
588C2×C4×C79C2511yescharacteristic
589C2×C4×C79C2511yescharacteristic
590C22⋊D79—212no—
591C22⋊D79—212no—
592C22⋊D79—24no—
593C22⋊D79—46no—
594C22⋊D79—46no—
595C22⋊D79—46no—
596C2×Dic79—26no—
597C2×Dic79—43no—
598C2×Dic79—43no—
599C2×Dic79—46no—
600C2×Dic79C2511yescharacteristic
601C2×Dic79C2511yescharacteristic
602C2×Dic79C2511yescharacteristic
603C2×Dic79C2512yes—
604C2×Dic79C2513yes—
605C2×Dic79C2513yes—
606C2×Dic79C2513yes—
607C2×Dic79C2512yes—
608C2×Dic79C2516yes—
609D316—212no—
610D316—212no—
611D316—26no—
612D316—26no—
613D316—412no—
614D316—46no—
615C4×D79—22no—
616C4×D79—26no—
617C4×D79—22no—
618C4×D79—26no—
619C4×D79—26no—
620C4×D79—26no—
621C4×D79—212no—
622C4×D79—22no—
623C4×D79—212no—
624C4×D79—26no—
625C4×D79—43no—
626C4×D79—43no—
627C4×D79—412no—
628C4×D79—43no—
629C4×D79—43no—
630C4×D79—46no—
631Dic158—26no—
632Dic158—22no—
633Dic158—46no—
634Dic158—46no—
635C22×C79—23no—
636C22×C79—23no—
637C22×C79—22no—
638C22×C79—22no—
639C22×C79—22no—
640C22×C79C22×#4116yes—
641C22×C79C2611yescharacteristic
642C2×D79—21no—
643C2×D79—21no—
644C2×D79—23no—
645C2×D79—26no—
646C2×D79—23no—
647C2×D79—26no—
648C2×D79—26no—
649C2×D79—23no—
650C2×D79—412no—
651C2×D79—812no—
652C2×D79#58512yes—
653C4×C79—26no—
654C4×C79—22no—
655C4×C79—23no—
656C4×C79—26no—
657C4×C79—21no—
658C4×C79—23no—
659C4×C79C22×#4116yes—
660C4×C79C22×#4112yes—
661C4×C79#58512yes—
662Dic79—22no—
663Dic79—23no—
664Dic79—21no—
665Dic79—22no—
666Dic79—23no—
667Dic79—23no—
668Dic79—26no—
669Dic79—21no—
670Dic79—21no—
671#62810—791nomaximal, Sylow
672C2×C79—26no—
673C2×C79—42no—
674C2×C79C23×#4111yescharacteristic
675C2×C79C2×#58511yescharacteristic
676C2×C79C2×#58511yescharacteristic
677D79—22no—
678D79—43no—
679D79—46no—
680#3524—792no—
681#3521—796no—
682#3516—792no—
683#3513—796no—
684#3512—793no—
685#3510—793no—
686#3504—791no—
687#3500—791no—
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+4D7911yescharacteristic, complemented
701C4×H(5,𝔽2)—791no—
702C2×C4×#41—791no—
703C79#6281011yescharacteristic, complemented, Sylow
704C2×2−1+4C2×D7911yescharacteristic
705C2×H(5,𝔽2)—791no—
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—796no—
725#552—796no—
726#552—7912no—
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#548—792no—
738#548—792no—
739#547—796no—
740#547—796no—
741#546—796no—
742#546—796no—
743#546—796no—
744#546—796no—
745#546—7912no—
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#536—793no—
763#535—793no—
764#535—793no—
765#533—793no—
766#533—793no—
767#533—796no—
768#533—793no—
769#532—793no—
770#532—793no—
771#532—793no—
772#532—796no—
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—793no—
782#529—796no—
783#529—791no—
784#529—796no—
785#529—793no—
786#529—796no—
787#529—796no—
788#529—796no—
789#529—796no—
790#529—7912no—
791C2×#126—796no—
792C2×#125—793no—
793C2×#124—793no—
794#525—793no—
795#525—796no—
796#525—796no—
797#525—7912no—
798#525—793no—
799C2×#123—796no—
800C2×C22⋊Q8—793no—
801C2×#121—793no—
802#520—791no—
803#520—792no—
804#520—793no—
805#520C2×D7911yescharacteristic
806#520C2×D7913yescomplemented
807#520C2×D7916yescomplemented
808#519C2×D7913yescomplemented
809#519C2×D7912yescomplemented
810#518—796no—
811#518—793no—
812C4×#41—791no—
813C4×#41—791no—
814C4×#41—791no—
815C4×#41—792no—
816C4×#41—793no—
817C4×#41—793no—
818C4×#41—793no—
819C4×#41—793no—
820C4×#41—793no—
821C4×#41—796no—
822C4×#41—796no—
823C4×#41C2×D7911yescharacteristic
824C4×#41C2×D7913yescomplemented
825C4×#41C2×D7916yescomplemented
826C2×C4×Q8—791no—
827C2×C4×Q8—791no—
828C2×C4×Q8C2×D7913yescomplemented
829C2×C4×Q8C2×D7912yescomplemented
830C2×C4×D4—793no—
831C2×C4×D4—793no—
832C2×C4×D4—796no—
833C2×C4×D4—793no—
834C2×C4×D4—796no—
835C2×#117—793no—
836C2×#117—796no—
837C22×C42—793no—
8382−1+4—28no—
839H(5,𝔽2)—1588no—
840C2×#41—791no—
841C2×#41—792no—
842C2×#41—793no—
843C2×#41—796no—
844C2×#41—796no—
845C2×#41—793no—
846C2×#41—793no—
847C2×#41—1588no—
848C2×#41C22×D7913yes—
849C2×#41C22×D7916yes—
850C2×#41C22×D7911yescharacteristic
851C22×Q8—791no—
852C22×Q8C22×D7913yes—
853C22×Q8C22×D7912yes—
854C22×D4—793no—
855C22×D4—796no—
856C22×D4—796no—
857C22×D4—793no—
858C23×C4—796no—
859C23×C4—793no—
860C23×C4—793no—
861C23×C4—793no—
862C4⋊Q8—793no—
863C4⋊Q8—796no—
864C4⋊Q8—793no—
865C4⋊Q8—793no—
866C4⋊Q8—796no—
867C4⋊Q8—796no—
868#127—793no—
869#127—796no—
870#126—796no—
871#126—7912no—
872#126—7912no—
873#126—7912no—
874#126—796no—
875#126—7912no—
876#126—792no—
877#126—796no—
878#126—7912no—
879#126—7912no—
880#126—7912no—
881#125—793no—
882#125—796no—
883#125—796no—
884#125—796no—
885#125—791no—
886#125—796no—
887#125—796no—
888#125—796no—
889#125—7912no—
890#125—796no—
891#125—7912no—
892#124—793no—
893#124—796no—
894#124—796no—
895#124—796no—
896#124—796no—
897#124—791no—
898#124—796no—
899#124—796no—
900#124—796no—
901#124—7912no—
902#124—7912no—
903#123—796no—
904#123—7912no—
905#123—7912no—
906#123—7912no—
907#123—796no—
908#123—7912no—
909#123—7912no—
910#123—7912no—
911#123—796no—
912#123—7912no—
913#123—7912no—
914#123—792no—
915#123—796no—
916#123—796no—
917#123—7912no—
918C22⋊Q8—793no—
919C22⋊Q8—796no—
920C22⋊Q8—796no—
921C22⋊Q8—796no—
922C22⋊Q8—793no—
923C22⋊Q8—796no—
924C22⋊Q8—796no—
925C22⋊Q8—796no—
926C22⋊Q8—7912no—
927C22⋊Q8—791no—
928C22⋊Q8—793no—
929C22⋊Q8—796no—
930C22⋊Q8—796no—
931C22⋊Q8—7912no—
932C22⋊Q8—796no—
933C22⋊Q8—7912no—
934C22⋊Q8—796no—
935C22⋊Q8—796no—
936C22⋊Q8—7912no—
937#121—791no—
938#121—793no—
939#121—796no—
940#121—796no—
941#121—7912no—
942#121—796no—
943#121—7912no—
944#121—796no—
945#121—796no—
946#121—7912no—
947#121—793no—
948#121—796no—
949#121—796no—
950#121—796no—
951#121—793no—
952#121—796no—
953#121—796no—
954#121—796no—
955#121—7912no—
956#120—796no—
957#120—7912no—
958#120—796no—
959#120—7912no—
960C4×Q8—791no—
961C4×Q8—791no—
962C4×Q8—792no—
963C4×Q8—793no—
964C4×Q8—793no—
965C4×Q8—793no—
966C4×Q8—793no—
967C4×Q8—791no—
968C4×Q8—793no—
969C4×Q8—796no—
970C4×Q8—796no—
971C4×Q8—796no—
972C4×Q8—796no—
973C4×Q8C22×D7911yescharacteristic
974C4×Q8C22×D7911yescharacteristic
975C4×Q8C22×D7913yes—
976C4×Q8C22×D7916yes—
977C4×Q8C22×D7912yes—
978C4×Q8C22×D7916yes—
979C4×Q8C22×D7916yes—
980C4×Q8C22×D7916yes—
981C4×Q8C22×D7913yes—
982C4×Q8C22×D7916yes—
983C4×D4—793no—
984C4×D4—793no—
985C4×D4—796no—
986C4×D4—796no—
987C4×D4—796no—
988C4×D4—796no—
989C4×D4—792no—
990C4×D4—796no—
991C4×D4—796no—
992C4×D4—796no—
993C4×D4—796no—
994C4×D4—796no—
995C4×D4—796no—
996C4×D4—796no—
997C4×D4—796no—
998C4×D4—793no—
999C4×D4—793no—
1000C4×D4—796no—
1001C4×D4—796no—
1002C4×D4—796no—
1003C4×D4—796no—
1004C4×D4—7912no—
1005C4×D4—796no—
1006C4×D4—796no—
1007C4×D4—793no—
1008C4×D4—793no—
1009C4×D4—793no—
1010C4×D4—796no—
1011C4×D4—796no—
1012C4×D4—7912no—
1013C4×D4—7912no—
1014C4×D4—7912no—
1015C4×D4—793no—
1016C4×D4—796no—
1017C4×D4—796no—
1018C4×D4—796no—
1019C4×D4C22×D7913yes—
1020C4×D4C22×D7913yes—
1021C4×D4C22×D7916yes—
1022C4×D4C22×D7911yescharacteristic
1023C4×D4C22×D7916yes—
1024C4×D4C22×D7916yes—
1025C4×D4C22×D7913yes—
1026C4×D4C22×D79112yes—
1027#117—793no—
1028#117—792no—
1029#117—793no—
1030#117—796no—
1031#117—793no—
1032#117—793no—
1033#117—796no—
1034#117—796no—
1035#117—796no—
1036#117—796no—
1037#117—7912no—
1038#117—7912no—
1039#117—7912no—
1040#117—796no—
1041#117—796no—
1042#117—796no—
1043#117—796no—
1044#117C22×D7913yes—
1045#117C22×D7913yes—
1046#117C22×D7916yes—
1047#117C22×D79112yes—
1048#117C22×D7916yes—
1049C2×C4⋊C4—796no—
1050C2×C4⋊C4—796no—
1051C2×C4⋊C4—793no—
1052C2×C4⋊C4—796no—
1053C2×C4⋊C4—793no—
1054C2×C4⋊C4—793no—
1055C2×C4⋊C4—796no—
1056C2×C4⋊C4C22×D7913yes—
1057C2×C4⋊C4C22×D7916yes—
1058C2×C4⋊C4C22×D7916yes—
1059C2×C22⋊C4—796no—
1060C2×C22⋊C4—796no—
1061C2×C22⋊C4—796no—
1062C2×C22⋊C4—796no—
1063C2×C22⋊C4—796no—
1064C2×C22⋊C4—796no—
1065C2×C22⋊C4—7912no—
1066C2×C42—793no—
1067C2×C42—793no—
1068C2×C42—793no—
1069C2×C42—793no—
1070C2×C42—793no—
1071C2×C42—793no—
1072C2×C42—796no—
1073C2×C42—793no—
1074C2×C42—793no—
1075C2×C42—793no—
1076C2×C42—793no—
1077C2×C42—791no—
1078C2×C42C22×D7916yes—
1079C2×C42C22×D7913yes—
1080C2×C42C22×D7916yes—
1081C24—796no—
1082C24—793no—
1083#41—224no—
1084#41—212no—
1085#41—31612no—
1086#41—31612no—
1087#41—1584no—
1088#41—1588no—
1089#41—15812no—
1090#41—15812no—
1091#41—15812no—
1092#41#1192962418yescomplemented
1093C2×Q8—28no—
1094C2×Q8—212no—
1095C2×Q8—796no—
1096C2×Q8—796no—
1097C2×Q8—793no—
1098C2×Q8—791no—
1099C2×Q8—1584no—
1100C2×Q8C23×D7913yes—
1101C2×Q8C23×D7916yes—
1102C2×Q8C23×D7911yescharacteristic
1103C2×D4—31612no—
1104C2×D4—796no—
1105C2×D4—796no—
1106C2×D4—796no—
1107C2×D4—792no—
1108C2×D4—796no—
1109C2×D4—796no—
1110C2×D4—796no—
1111C2×D4—7912no—
1112C2×D4—796no—
1113C2×D4—793no—
1114C2×D4—796no—
1115C2×D4—793no—
1116C2×D4—15812no—
1117C2×D4—15824no—
1118C2×D4—15812no—
1119C2×D4C23×D7916yes—
1120C2×D4C23×D7911yescharacteristic
1121C2×D4C23×D7913yes—
1122C22×C4—3166no—
1123C22×C4—31612no—
1124C22×C4—3166no—
1125C22×C4—793no—
1126C22×C4—793no—
1127C22×C4—796no—
1128C22×C4—793no—
1129C22×C4—793no—
1130C22×C4—793no—
1131C22×C4—793no—
1132C22×C4—796no—
1133C22×C4—7912no—
1134C22×C4—793no—
1135C22×C4—791no—
1136C22×C4—791no—
1137C22×C4—793no—
1138C22×C4—793no—
1139C22×C4—793no—
1140C22×C4—793no—
1141C22×C4—796no—
1142C22×C4—791no—
1143C22×C4—793no—
1144C22×C4—796no—
1145C22×C4—15812no—
1146C22×C4C23×D7916yes—
1147C22×C4C23×D7916yes—
1148C22×C4C23×D7913yes—
1149C22×C4C23×D7912yes—
1150C22×C4C23×D7913yes—
1151C22×C4C23×D7916yes—
1152C22×C4C23×D7916yes—
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—792no—
1162C4⋊C4—792no—
1163C4⋊C4—796no—
1164C4⋊C4—796no—
1165C4⋊C4—796no—
1166C4⋊C4—796no—
1167C4⋊C4—796no—
1168C4⋊C4—796no—
1169C4⋊C4—793no—
1170C4⋊C4—796no—
1171C4⋊C4—793no—
1172C4⋊C4—793no—
1173C4⋊C4—7912no—
1174C4⋊C4—791no—
1175C4⋊C4—792no—
1176C4⋊C4—792no—
1177C4⋊C4—796no—
1178C4⋊C4C23×D7913yes—
1179C4⋊C4C23×D7913yes—
1180C4⋊C4C23×D7913yes—
1181C4⋊C4C23×D7916yes—
1182C4⋊C4C23×D7916yes—
1183C4⋊C4C23×D79112yes—
1184C4⋊C4C23×D7911yescharacteristic
1185C4⋊C4C23×D7916yes—
1186C22⋊C4—796no—
1187C22⋊C4—796no—
1188C22⋊C4—792no—
1189C22⋊C4—792no—
1190C22⋊C4—792no—
1191C22⋊C4—796no—
1192C22⋊C4—796no—
1193C22⋊C4—796no—
1194C22⋊C4—796no—
1195C22⋊C4—7912no—
1196C22⋊C4—796no—
1197C22⋊C4—796no—
1198C22⋊C4—796no—
1199C22⋊C4—796no—
1200C22⋊C4—796no—
1201C22⋊C4—7912no—
1202C22⋊C4—7912no—
1203C22⋊C4—7912no—
1204C22⋊C4—7912no—
1205C22⋊C4—792no—
1206C22⋊C4—796no—
1207C22⋊C4—796no—
1208C22⋊C4—796no—
1209C22⋊C4C23×D7916yes—
1210C22⋊C4C23×D7916yes—
1211C22⋊C4C23×D7916yes—
1212C22⋊C4C23×D7912yes—
1213C42—791no—
1214C42—791no—
1215C42—793no—
1216C42—793no—
1217C42—793no—
1218C42—793no—
1219C42—793no—
1220C42—793no—
1221C42—793no—
1222C42—793no—
1223C42—796no—
1224C42—796no—
1225C42—791no—
1226C42—792no—
1227C42—793no—
1228C42C23×D7913yes—
1229C42C23×D7913yes—
1230C42C23×D79112yes—
1231C42C23×D7916yes—
1232C42C23×D7916yes—
1233C42C23×D7913yes—
1234C42C23×D7911yescharacteristic
1235C42C23×D7916yes—
1236C23—3163no—
1237C23—3166no—
1238C23—3166no—
1239C23—791no—
1240C23—796no—
1241C23—793no—
1242C23—1586no—
1243C23—1586no—
1244C23—15812no—
1245C23C24×D7912yes—
1246C23C24×D7913yes—
1247Q8—212no—
1248Q8—26no—
1249Q8—3166no—
1250Q8—3166no—
1251Q8—1586no—
1252Q8—1582no—
1253Q8C2×#1192962414yes—
1254D4—212no—
1255D4—22no—
1256D4—31612no—
1257D4—3166no—
1258D4—3166no—
1259D4—3166no—
1260D4—3166no—
1261D4—15812no—
1262D4—1584no—
1263D4—15812no—
1264D4—15812no—
1265D4—15812no—
1266D4—1586no—
1267D4—1586no—
1268D4C2×#11929624112yes—
1269C2×C4—212no—
1270C2×C4—26no—
1271C2×C4—24no—
1272C2×C4—212no—
1273C2×C4—43no—
1274C2×C4—46no—
1275C2×C4—46no—
1276C2×C4—3163no—
1277C2×C4—3163no—
1278C2×C4—3163no—
1279C2×C4—31612no—
1280C2×C4—3163no—
1281C2×C4—3166no—
1282C2×C4—3163no—
1283C2×C4—3163no—
1284C2×C4—3166no—
1285C2×C4—791no—
1286C2×C4—791no—
1287C2×C4—791no—
1288C2×C4—792no—
1289C2×C4—793no—
1290C2×C4—793no—
1291C2×C4—793no—
1292C2×C4—792no—
1293C2×C4—796no—
1294C2×C4—1582no—
1295C2×C4—1586no—
1296C2×C4—1586no—
1297C2×C4—1582no—
1298C2×C4—15812no—
1299C2×C4—1586no—
1300C2×C4—1582no—
1301C2×C4—1586no—
1302C2×C4—1586no—
1303C2×C4—1586no—
1304C2×C4—15812no—
1305C2×C4C2×#11929624112yes—
1306C2×C4C24×D7911yescharacteristic
1307C2×C4C24×D7913yes—
1308C2×C4C24×D7913yes—
1309C2×C4C24×D7912yes—
1310C2×C4C24×D7916yes—
1311C2×C4C24×D7916yes—
1312C2×C4C24×D7913yes—
1313C2×C4C24×D7911yescharacteristic
1314C2×C4C24×D7911yescharacteristic
1315C22—23no—
1316C22—23no—
1317C22—22no—
1318C22—22no—
1319C22—22no—
1320C22—31612no—
1321C22—792no—
1322C22—63212no—
1323C22—1583no—
1324C22—1586no—
1325C22—1583no—
1326C22—1586no—
1327C22—1586no—
1328C22—1583no—
1329C22—1581no—
1330C22—1581no—
1331C22C22×#1192962416yes—
1332C22C25×D7911yescharacteristic
1333C4—26no—
1334C4—21no—
1335C4—23no—
1336C4—26no—
1337C4—23no—
1338C4—22no—
1339C4—1581no—
1340C4—1582no—
1341C4—1583no—
1342C4—1581no—
1343C4—1582no—
1344C4—1583no—
1345C4—1581no—
1346C4—1586no—
1347C4—1583no—
1348C4C22×#1192962416yes—
1349C4C22×#1192962412yes—
1350C4#1909940012yes—
1351C2—26no—
1352C2—42no—
1353C2—3163no—
1354C2—3166no—
1355C2—1582no—
1356C2C23×#1192962411yescharacteristic
1357C2#585×D7911yescharacteristic
1358C2C2×#1909940011yescharacteristic
subgroupG/H
centerC2×C4C24×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC4×2−1+4×C79C2
hypercenterC4×2−1+4D79
hypocenterC79#62810
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C4×2−1+4

Complements

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

NH ≅ G/Ntype
1. #23777511C2semidirect
2. #23777470C2semidirect
3. #23777395C2semidirect
4. #23777342C2semidirect
5. #23777317C2semidirect
6. #23777297C2semidirect
7. #23777222C2semidirect
8. #23777194C2semidirect
9. #23777142C2semidirect
10. #23777136C2semidirect
11. #23777073C2semidirect
12. #23777070C2semidirect
13. #23777017C2semidirect
14. #23777010C2semidirect
15. #23776995C2semidirect
16. #23776962C2semidirect
17. #23776833C2semidirect
18. #23776816C2semidirect
19. #23776693C2semidirect
20. C2×#19099100C2semidirect
21. C4×#14579207C2semidirect
22. C4×#41×D79C2semidirect
23. C4×2−1+4×C79C2semidirect
26. #19099298C22semidirect
27. #19099298C22semidirect
28. #19099292C22semidirect
29. #19099289C22semidirect
30. #19099286C22semidirect
31. #19099285C22semidirect
32. #19099285C22semidirect
33. #19099276C22semidirect
34. #19099273C22semidirect
35. #19099272C22semidirect
36. #19099270C22semidirect
37. #19099262C22semidirect
38. #19099261C22semidirect
39. #19099261C22semidirect
40. #19099259C22semidirect
41. #19099257C22semidirect
42. #19099257C22semidirect
43. #19099254C22semidirect
44. #19099254C22semidirect
45. #19099252C22semidirect
46. #19099248C22semidirect
47. #19099246C22semidirect
48. #19099242C22semidirect
49. #19099237C22semidirect
50. #19099237C22semidirect
51. #19099237C22semidirect
53. Q8×C22⋊D79C22semidirect
55. #19099224C22semidirect
56. #19099224C22semidirect
57. #19099224C22semidirect
58. #19099214C22semidirect
59. #19099212C22semidirect
60. #19099209C22semidirect
62. #19099201C22semidirect
63. #19099201C22semidirect
64. #19099201C22semidirect
66. #19099194C22semidirect
67. #19099191C22semidirect
68. #19099185C22semidirect
69. #19099185C22semidirect
70. #19099185C22semidirect
71. #19099184C22semidirect
72. #19099171C22semidirect
73. #19099171C22semidirect
74. #19099168C22semidirect
75. #19099164C22semidirect
76. #19099160C22semidirect
77. #19099146C22semidirect
79. #19099141C22semidirect
80. #19099137C22semidirect
81. #19099137C22semidirect
83. #19099127C22semidirect
84. #19099117C22semidirect
85. #19099117C22semidirect
86. #19099117C22semidirect
87. #19099116C22semidirect
88. #19099113C22semidirect
89. #19099110C22semidirect
90. #19099110C22semidirect
91. #19099109C22semidirect
92. #19099100C22semidirect
93. #19099100C22semidirect
94. #19099100C22semidirect
95. #19099100C22semidirect
96. #19099100C22semidirect
97. #19099100C22semidirect
98. #19099100C22semidirect
99. #19099100C22semidirect
100. #19099100C22semidirect
101. #19099100C22semidirect
102. #19099097C22semidirect
103. #19099097C22semidirect
104. #19099095C22semidirect
105. #19099095C22semidirect
106. #19099093C22semidirect
107. #19099093C22semidirect
108. #19099091C22semidirect
109. #19099091C22semidirect
110. C2×#14579156C22semidirect
111. C2×#14579152C22semidirect
112. C2×#14579150C22semidirect
114. #19099072C22semidirect
115. #19099072C22semidirect
116. #19099072C22semidirect
117. #19099070C22semidirect
118. C2×#14579146C22semidirect
119. C2×#14579137C22semidirect
122. #19099045C22semidirect
123. #19099043C22semidirect
124. #19099037C22semidirect
125. #19099035C22semidirect
127. C4×#11929625C22semidirect
128. C4×#11929625C22semidirect
129. C4×#11929625C22semidirect
130. C4×#11929624C22semidirect
131. C4×#11929624C22semidirect
132. C4×#11929624C22semidirect
133. C4×#11929624C22semidirect
134. #19099031C22semidirect
135. C4×#11929623C22semidirect
136. C4×#11929623C22semidirect
137. C4×Q8×D79C22semidirect
138. C4×Q8×D79C22semidirect
139. C2×C4×D316C22semidirect
140. C2×C4×D316C22semidirect
141. C4×D4×D79C22semidirect
142. C4×D4×D79C22semidirect
143. C4×D4×D79C22semidirect
144. C2×#14579118C22semidirect
145. #117×D79C22semidirect
146. C2×C42×D79C22semidirect
149. #520×C79C22semidirect
150. #520×C79C22semidirect
151. #519×C79C22semidirect
152. #519×C79C22semidirect
154. C4×#41×C79C22semidirect
155. C4×#41×C79C22semidirect
156. C2×C4×Q8×C79C22semidirect
157. C2×C4×Q8×C79C22semidirect
519. #41×C79#41semidirect
700. C4×2−1+4D79semidirect
703. C79#62810semidirect
806. #520C2×D79semidirect
807. #520C2×D79semidirect
808. #519C2×D79semidirect
809. #519C2×D79semidirect
824. C4×#41C2×D79semidirect
825. C4×#41C2×D79semidirect
828. C2×C4×Q8C2×D79semidirect
829. C2×C4×Q8C2×D79semidirect
1092. #41#11929624semidirect

Maximal subgroups

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

subgroupindex
#237775112
#237774702
#237773952
#237773422
#237773172
#237772972
#237772222
#237771942
#237771422
#237771362
#237770732
#237770702
#237770172
#237770102
#237769952
#237769622
#237768332
#237768162
#237766932
C2×#190991002
C4×#145792072
C4×#41×D792
C4×2−1+4×C792
#6281079