Finite Group Databasebeta

← #35197459

Subgroups — #35197459

Order 20224.

7310 conjugacy classes of subgroups.

The subgroup lattice has 1366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777509C212yesmaximal, complemented
2#23777501C212yesmaximal, complemented
3#23777432C216yesmaximal, complemented
4#23777422C216yesmaximal, complemented
5#23777406C212yesmaximal, complemented
6#23777400C212yesmaximal, complemented
7#23777340C216yesmaximal, complemented
8#23777328C216yesmaximal, complemented
9#23777317C213yesmaximal, complemented
10#23777271C213yesmaximal, complemented
11#23777222C211yesmaximal, characteristic, complemented
12#23777174C211yesmaximal, characteristic, complemented
13#23777136C213yesmaximal, complemented
14#23777125C213yesmaximal, complemented
15#23777070C211yesmaximal, characteristic, complemented
16#23777062C211yesmaximal, characteristic, complemented
17#23776822C213yesmaximal, complemented
18#23776816C213yesmaximal, complemented
19#23776785C213yesmaximal, complemented
20C2×#19099164C213yesmaximal, complemented
21C4×#14579207C211yesmaximal, characteristic, complemented
22#23776599C211yesmaximal, characteristic, complemented
23C4×H(5,𝔽2)×C79C211yesmaximal, characteristic, complemented
24C2×#14579207C2211yescharacteristic
25C2×#41×D79C2211yescharacteristic
26#19099296C2216yescomplemented
27#19099296C2216yescomplemented
28#19099292C2212yescomplemented
29#19099289C2212yescomplemented
30#19099278C2216yescomplemented
31#19099276C2216yescomplemented
32#19099272C2216yescomplemented
33#19099270C2216yescomplemented
34#19099263C2216yescomplemented
35#19099263C2216yescomplemented
36#19099262C22112yescomplemented
37#19099261C2216yescomplemented
38#19099261C2216yescomplemented
39#19099259C22112yescomplemented
40#19099257C2216yescomplemented
41#19099257C2216yescomplemented
42#19099252C2216yescomplemented
43#19099248C2216yescomplemented
44#19099242C22112yescomplemented
45#19099239C22112yescomplemented
46#19099235C2212yescomplemented
47#19099234C2216yescomplemented
48#19099234C2216yescomplemented
49#19099232C2212yescomplemented
50#19099232C2212yescomplemented
51#19099232C2212yescomplemented
52#19099225C2212yescomplemented
53#19099220C2212yescomplemented
54#19099218C2216yescomplemented
55#19099214C2216yescomplemented
56#19099209C22112yescomplemented
57#19099208C2216yescomplemented
58#19099207C2216yescomplemented
59#19099203C22112yescomplemented
60#19099203C22112yescomplemented
61#19099203C22112yescomplemented
62D4×D316C2216yescomplemented
63D4×C22⋊D79C2216yescomplemented
64D4×C22⋊D79C2216yescomplemented
65D4×C22⋊D79C2216yescomplemented
66#19099194C2213yescomplemented
67#19099191C2213yescomplemented
68#19099185C2213yescomplemented
69#19099185C2213yescomplemented
70#19099184C2216yescomplemented
71#19099178C2213yescomplemented
72#19099178C2213yescomplemented
73#19099178C2216yescomplemented
74#19099171C2211yescharacteristic, complemented
75#19099171C2213yescomplemented
76#19099168C2216yescomplemented
77#19099164C2213yescomplemented
78#19099164C2213yescomplemented
79#19099164C2216yescomplemented
80#19099164C2216yescomplemented
81#19099164C2216yescomplemented
82#19099164C2216yescomplemented
83#19099164C2216yescomplemented
84#19099164C2216yescomplemented
85#19099164C2216yescomplemented
86#19099164C2216yescomplemented
87#19099155C2216yescomplemented
88#19099155C2216yescomplemented
89#19099151C22112yescomplemented
90#19099146C2216yescomplemented
91#19099146C2216yescomplemented
92#19099146C22112yescomplemented
93#19099144C2213yescomplemented
94#19099141C2213yescomplemented
95#19099132C2213yescomplemented
96#19099130C2213yescomplemented
97#19099130C2213yescomplemented
98#19099127C2213yescomplemented
99#19099116C2213yescomplemented
100#19099113C2216yescomplemented
101#19099110C2216yescomplemented
102#19099110C2216yescomplemented
103#19099110C2216yescomplemented
104#19099109C2213yescomplemented
105C2×#14579157C2213yescomplemented
106#19099100C2216yescomplemented
107#19099097C2216yescomplemented
108#19099097C2216yescomplemented
109#19099097C2216yescomplemented
110#19099095C2216yescomplemented
111#19099095C2216yescomplemented
112#19099091C2216yescomplemented
113#19099091C2216yescomplemented
114C2×#14579152C2213yescomplemented
115#19099075C2213yescomplemented
116#19099074C22112yescomplemented
117#19099072C22112yescomplemented
118#19099070C2213yescomplemented
119C2×#14579144C2216yescomplemented
120C2×#14579143C2216yescomplemented
121C2×#14579136C2213yescomplemented
122C2×#14579135C2216yescomplemented
123C2×#14579134C2216yescomplemented
124C2×#14579132C2213yescomplemented
125#19099046C2211yescharacteristic
126#19099045C2211yescharacteristic, complemented
127#19099045C2211yescharacteristic, complemented
128#19099045C2212yescomplemented
129#19099043C2213yescomplemented
130#19099042C2213yescomplemented
131#19099042C2213yescomplemented
132#19099039C2211yescharacteristic, complemented
133#19099039C2211yescharacteristic, complemented
134#19099037C2213yescomplemented
135#19099035C2216yescomplemented
136#19099035C2213yescomplemented
137#19099035C2213yescomplemented
138#41×Dic79C2211yescharacteristic
139C4×#11929625C2212yescomplemented
140C4×#11929624C2213yescomplemented
141C4×#11929624C2213yescomplemented
142#19099031C2213yescomplemented
143C2×C4×D316C2213yescomplemented
144C4×D4×D79C2216yescomplemented
145C2×#14579118C2213yescomplemented
146#117×D79C2213yescomplemented
147C2×H(5,𝔽2)×C79C2211yescharacteristic
148#520×C79C2211yescharacteristic
149#520×C79C2213yescomplemented
150#520×C79C2212yescomplemented
151#518×C79C2216yescomplemented
152#518×C79C2213yescomplemented
153C4×#41×C79C2211yescharacteristic
154C4×#41×C79C2213yescomplemented
155C4×#41×C79C2212yescomplemented
156C2×C4×D4×C79C2213yescomplemented
157C2×C4×D4×C79C2216yescomplemented
158#14579207—28no—
159C2×#11929625C2312yes—
160C2×#11929625C2311yescharacteristic
161C2×#11929624C2313yes—
162C2×#11929624C2313yes—
163C2×#11929624C23112yes—
164C2×#11929624C23112yes—
165C2×#11929623C2313yes—
166#41×D79—28no—
167C2×Q8×D79C2311yescharacteristic
168C22×D316C2313yes—
169C22×D316C2316yes—
170C22×C22⋊D79C2316yes—
171C22×C22⋊D79C2316yes—
172C22×C22⋊D79C2316yes—
173C2×D4×D79C2316yes—
174C2×D4×D79C2313yes—
175C22×C4×D79C2313yes—
176C22×C4×D79C2316yes—
177#14579161C2316yes—
178#14579160C2313yes—
179#14579160C2313yes—
180#14579160C2316yes—
181#14579159C2311yescharacteristic
182#14579158C2316yes—
183#14579157C2313yes—
184#14579157C2316yes—
185#14579157C2316yes—
186#14579157C2316yes—
187#14579157C2316yes—
188#14579156C2312yes—
189#14579156C2316yes—
190#14579156C23112yes—
191#14579155C2312yes—
192#14579155C2316yes—
193#14579155C2316yes—
194#14579155C2316yes—
195#14579154C2316yes—
196#14579154C23112yes—
197#14579154C2316yes—
198#14579153C2312yes—
199#14579153C2316yes—
200#14579153C2316yes—
201#14579152C2313yes—
202#14579152C2311yescharacteristic
203#14579152C2316yes—
204#14579152C2316yes—
205#14579152C2316yes—
206#14579152C2316yes—
207#14579151C2312yes—
208#14579151C2316yes—
209#14579150C2313yes—
210#14579149C2316yes—
211#14579149C2316yes—
212#14579149C2316yes—
213#14579148C2313yes—
214#14579148C2316yes—
215#14579147C2316yes—
216#14579147C2316yes—
217#14579147C23112yes—
218#14579147C23112yes—
219#14579146C2316yes—
220#14579146C23112yes—
221#14579146C2316yes—
222#14579145C2316yes—
223#14579144C23112yes—
224#14579144C2316yes—
225#14579144C2316yes—
226#14579144C2316yes—
227#14579144C2316yes—
228#14579144C23112yes—
229#14579144C23112yes—
230#14579143C23112yes—
231#14579143C23112yes—
232#14579143C2316yes—
233#14579143C2316yes—
234#14579143C23112yes—
235#14579143C23112yes—
236#14579142C2316yes—
237#14579141C2313yes—
238#14579141C2316yes—
239#14579141C2311yescharacteristic
240#14579140C2316yes—
241#14579140C23112yes—
242#14579140C2316yes—
243#14579140C2316yes—
244#14579139C2316yes—
245#14579139C2316yes—
246#14579138C2316yes—
247#14579138C2316yes—
248#14579138C23112yes—
249#14579137C2313yes—
250#14579137C2311yescharacteristic
251#14579136C2316yes—
252#14579136C2316yes—
253#14579136C2313yes—
254#14579136C2316yes—
255#14579136C2316yes—
256#14579136C2313yes—
257#14579135C2316yes—
258#14579135C23112yes—
259#14579135C2316yes—
260#14579135C23112yes—
261#14579135C2316yes—
262#14579135C23112yes—
263#14579135C23112yes—
264#14579135C2316yes—
265#14579135C2316yes—
266#14579134C2316yes—
267#14579134C2316yes—
268#14579134C23112yes—
269#14579134C23112yes—
270#14579134C23112yes—
271#14579134C23112yes—
272#14579134C23112yes—
273#14579133C23112yes—
274#14579133C2316yes—
275#14579133C2316yes—
276#14579132C2316yes—
277#14579132C2313yes—
278#14579132C2316yes—
279#14579132C2316yes—
280#14579132C2313yes—
281#14579132C2316yes—
282#14579132C2316yes—
283#14579131C2316yes—
284#14579131C23112yes—
285#14579130C23112yes—
286#14579130C23112yes—
287#14579129C2316yes—
288#14579129C23112yes—
289Q8×Dic79C2312yes—
290Q8×Dic79C2311yescharacteristic
291Q8×Dic79C2311yescharacteristic
292C4×Dic158C2311yescharacteristic
293C4×Dic158C2313yes—
294C4×Dic158C2313yes—
295C4×Dic158C2313yes—
296C4×Dic158C2316yes—
297C4×Dic158C2316yes—
298#14579126C2313yes—
299#14579126C2313yes—
300C4×D316C2313yes—
301C4×D316C2316yes—
302C4×D316C2316yes—
303C4×D316C2316yes—
304C4×D316C2313yes—
305C4×D316C2313yes—
306C4×D316C2313yes—
307C4×D316C2316yes—
308C4×D316C2316yes—
309C4×D316C23112yes—
310D4×Dic79C2313yes—
311D4×Dic79C2313yes—
312D4×Dic79C2316yes—
313#14579123C2316yes—
314#14579123C2313yes—
315#14579123C2313yes—
316#14579123C2316yes—
317C4×C22⋊D79C2316yes—
318C4×C22⋊D79C2316yes—
319C4×C22⋊D79C2316yes—
320C4×C22⋊D79C2316yes—
321C4×C22⋊D79C2316yes—
322C4×C22⋊D79C2316yes—
323C4×C22⋊D79C2316yes—
324C4×C22⋊D79C23112yes—
325C4×C22⋊D79C23112yes—
326C4×C22⋊D79C23112yes—
327C4×C22⋊D79C2316yes—
328(C22⋊D79)⋊C4C2316yes—
329(C22⋊D79)⋊C4C2316yes—
330(C22⋊D79)⋊C4C23112yes—
331#14579120C2313yes—
332#14579120C2313yes—
333#14579120C23112yes—
334#14579119C2316yes—
335#14579119C2313yes—
336#14579119C2313yes—
337#14579118C2311yescharacteristic
338#14579118C2313yes—
339#14579118C2313yes—
340#14579118C2313yes—
341#14579118C2313yes—
342#14579118C2313yes—
343#14579118C2313yes—
344#14579118C2313yes—
345#14579118C2316yes—
346#14579118C23112yes—
347#14579117C2316yes—
348C2×C4⋊Dic79C2313yes—
349C2×C4⋊Dic79C2316yes—
350C2×Dic79⋊C4C2313yes—
351C2×Dic79⋊C4C2313yes—
352C2×Dic79⋊C4C2316yes—
353C4⋊C4×D79C2313yes—
354C4⋊C4×D79C2313yes—
355C4⋊C4×D79C2316yes—
356C2×C22⋊Dic79C2316yes—
357C2×(C2×D79)⋊C4C2313yes—
358C2×(C2×D79)⋊C4C2313yes—
359C2×(C2×D79)⋊C4C2316yes—
360C2×(C2×D79)⋊C4C2316yes—
361C22⋊C4×D79C2316yes—
362C22⋊C4×D79C23112yes—
363C2×C4×Dic79C2313yes—
364C42×D79C2316yes—
365C42×D79C2316yes—
366H(5,𝔽2)×C79—28no—
367C2×#41×C79C2313yes—
368C2×#41×C79C2312yes—
369C2×#41×C79C2311yescharacteristic
370C22×D4×C79C2316yes—
371C22×D4×C79C2313yes—
372C23×C4×C79C2316yes—
373C4×Q8×C79C2311yescharacteristic
374C4×Q8×C79C2313yes—
375C4×Q8×C79C2312yes—
376C4×Q8×C79C2311yescharacteristic
377C4×Q8×C79C2311yescharacteristic
378C4×D4×C79C2316yes—
379C4×D4×C79C2316yes—
380C4×D4×C79C2313yes—
381C4×D4×C79C2316yes—
382C4×D4×C79C2316yes—
383C4×D4×C79C2316yes—
384C4×D4×C79C2313yes—
385C4×D4×C79C2316yes—
386C4×D4×C79C23112yes—
387C4×D4×C79C2316yes—
388C4×D4×C79C2313yes—
389C4×D4×C79C2316yes—
390C4×D4×C79C2313yes—
391#117×C79C2316yes—
392#117×C79C2313yes—
393#117×C79C2313yes—
394#117×C79C2316yes—
395C2×C4⋊C4×C79C2313yes—
396C2×C4⋊C4×C79C2316yes—
397C2×C22⋊C4×C79C2316yes—
398C2×C22⋊C4×C79C23112yes—
399C2×C42×C79C2313yes—
400C2×C42×C79C2316yes—
401C23×D79C2413yes—
402C23×D79C2416yes—
403#11929625—24no—
404#11929625—28no—
405#11929624—212no—
406#11929624—212no—
407#11929624—812no—
408#11929624—812no—
409#11929623—212no—
410C2×Dic158C2413yes—
411C2×Dic158C2411yescharacteristic
412C2×Dic158C2416yes—
413C2×Dic158C2416yes—
414Q8×D79—24no—
415C2×D316—212no—
416C2×D316—86no—
417C2×D316C2413yes—
418C2×D316C2413yes—
419C2×D316C2416yes—
420C2×D316C2416yes—
421C2×D316C24112yes—
422C2×D316C2416yes—
423C2×C22⋊D79—86no—
424C2×C22⋊D79—86no—
425C2×C22⋊D79—86no—
426C2×C22⋊D79C2416yes—
427C2×C22⋊D79C2416yes—
428C2×C22⋊D79C2416yes—
429C2×C22⋊D79C24112yes—
430C2×C22⋊D79C24112yes—
431C2×C22⋊D79C24112yes—
432C2×C22⋊D79C2416yes—
433C2×C22⋊D79C2416yes—
434C2×C22⋊D79C2416yes—
435D4×D79—212no—
436D4×D79—224no—
437C22×Dic79C2413yes—
438C22×Dic79C2413yes—
439C22×Dic79C2413yes—
440C22×Dic79C2416yes—
441C2×C4×D79—212no—
442C2×C4×D79—86no—
443C2×C4×D79C2413yes—
444C2×C4×D79C2413yes—
445C2×C4×D79C2413yes—
446C2×C4×D79C2416yes—
447C2×C4×D79C2411yescharacteristic
448C2×C4×D79C2416yes—
449C2×C4×D79C2416yes—
450C2×C4×D79C2416yes—
451C2×C4×D79C24112yes—
452C2×C4×D79C2416yes—
453C4⋊Dic79C2416yes—
454C4⋊Dic79C2413yes—
455C4⋊Dic79C2413yes—
456C4⋊Dic79C2413yes—
457C4⋊Dic79C2416yes—
458C4⋊Dic79C24112yes—
459C4⋊Dic79C2411yescharacteristic
460C4⋊Dic79C2416yes—
461C4⋊Dic79C2412yes—
462C4⋊Dic79C2412yes—
463Dic79⋊C4C2413yes—
464Dic79⋊C4C2413yes—
465Dic79⋊C4C2416yes—
466Dic79⋊C4C2411yescharacteristic
467Dic79⋊C4C2411yescharacteristic
468Dic79⋊C4C2416yes—
469Dic79⋊C4C2413yes—
470Dic79⋊C4C2413yes—
471Dic79⋊C4C2413yes—
472Dic79⋊C4C2413yes—
473Dic79⋊C4C24112yes—
474Dic79⋊C4C2412yes—
475Dic79⋊C4C2416yes—
476Dic79⋊C4C2412yes—
477Dic79⋊C4C2412yes—
478Dic79⋊C4C2412yes—
479Dic79⋊C4C2416yes—
480Dic79⋊C4C2416yes—
481Dic79⋊C4C2412yes—
482C22⋊Dic79C2416yes—
483C22⋊Dic79C2416yes—
484C22⋊Dic79C2416yes—
485C22⋊Dic79C24112yes—
486C22⋊Dic79C2416yes—
487C22⋊Dic79C2416yes—
488C22⋊Dic79C2416yes—
489(C2×D79)⋊C4C2413yes—
490(C2×D79)⋊C4C2413yes—
491(C2×D79)⋊C4C2416yes—
492(C2×D79)⋊C4C24112yes—
493(C2×D79)⋊C4C2411yescharacteristic
494(C2×D79)⋊C4C2411yescharacteristic
495(C2×D79)⋊C4C2416yes—
496(C2×D79)⋊C4C2416yes—
497(C2×D79)⋊C4C2413yes—
498(C2×D79)⋊C4C2413yes—
499(C2×D79)⋊C4C2413yes—
500(C2×D79)⋊C4C2413yes—
501(C2×D79)⋊C4C24112yes—
502(C2×D79)⋊C4C2416yes—
503(C2×D79)⋊C4C2412yes—
504(C2×D79)⋊C4C2416yes—
505(C2×D79)⋊C4C2416yes—
506(C2×D79)⋊C4C2416yes—
507(C2×D79)⋊C4C2416yes—
508(C2×D79)⋊C4C2412yes—
509C4×Dic79C2412yes—
510C4×Dic79C2413yes—
511C4×Dic79C2416yes—
512C4×Dic79C2416yes—
513C4×Dic79C2416yes—
514C4×Dic79C2416yes—
515C4×Dic79C2411yescharacteristic
516C4×Dic79C2413yes—
517C4×Dic79C2413yes—
518C24×C79C2416yes—
519#41×C79—28no—
520#41×C79—212no—
521#41×C79#4118yescomplemented
522C2×Q8×C79C2411yescharacteristic
523C2×Q8×C79C2411yescharacteristic
524C2×D4×C79—224no—
525C2×D4×C79—212no—
526C2×D4×C79C2416yes—
527C2×D4×C79C2413yes—
528C2×D4×C79C2416yes—
529C2×D4×C79C2413yes—
530C22×C4×C79—86no—
531C22×C4×C79C2416yes—
532C22×C4×C79C2416yes—
533C22×C4×C79C24112yes—
534C22×C4×C79C2413yes—
535C22×C4×C79C2413yes—
536C22×C4×C79C2416yes—
537C22×C4×C79C2416yes—
538C22×C4×C79C2413yes—
539C4⋊C4×C79C2413yes—
540C4⋊C4×C79C2413yes—
541C4⋊C4×C79C2416yes—
542C4⋊C4×C79C2416yes—
543C4⋊C4×C79C2413yes—
544C4⋊C4×C79C2411yescharacteristic
545C4⋊C4×C79C2412yes—
546C22⋊C4×C79C2416yes—
547C22⋊C4×C79C2416yes—
548C22⋊C4×C79C2416yes—
549C22⋊C4×C79C24112yes—
550C22⋊C4×C79C2416yes—
551C42×C79C2411yescharacteristic
552C42×C79C2413yes—
553C42×C79C2412yes—
554C42×C79C2413yes—
555C42×C79C2413yes—
556C42×C79C2416yes—
557C42×C79C2416yes—
558C23×C79—212no—
559C23×C79—46no—
560C23×C79—46no—
561C23×C79C2516yes—
562C23×C79C2513yes—
563C22×D79—26no—
564C22×D79—212no—
565C22×D79—46no—
566C22×D79—43no—
567C22×D79—46no—
568C22×D79—43no—
569C22×D79C2511yescharacteristic
570C22×D79C2516yes—
571C22×D79C2513yes—
572Q8×C79—22no—
573Q8×C79C2×#4114yes—
574D4×C79—212no—
575D4×C79—212no—
576D4×C79—26no—
577D4×C79C2×#41112yes—
578C2×C4×C79—212no—
579C2×C4×C79—43no—
580C2×C4×C79—46no—
581C2×C4×C79—46no—
582C2×C4×C79—412no—
583C2×C4×C79—46no—
584C2×C4×C79—43no—
585C2×C4×C79C2×#41112yes—
586C2×C4×C79C2513yes—
587C2×C4×C79C2511yescharacteristic
588C2×C4×C79C2513yes—
589C2×C4×C79C2511yescharacteristic
590C2×C4×C79C2512yes—
591C2×C4×C79C2516yes—
592C2×C4×C79C2512yes—
593C2×C4×C79C2513yes—
594C2×C4×C79C2511yescharacteristic
595C22⋊D79—212no—
596C22⋊D79—212no—
597C22⋊D79—46no—
598C22⋊D79—46no—
599C22⋊D79—46no—
600C22⋊D79—412no—
601C22⋊D79—412no—
602C22⋊D79—412no—
603C22⋊D79—46no—
604C2×Dic79—26no—
605C2×Dic79—46no—
606C2×Dic79—43no—
607C2×Dic79—43no—
608C2×Dic79C2513yes—
609C2×Dic79C2512yes—
610C2×Dic79C2512yes—
611C2×Dic79C2513yes—
612C2×Dic79C2513yes—
613C2×Dic79C2511yescharacteristic
614C2×Dic79C2511yescharacteristic
615C2×Dic79C2516yes—
616C2×Dic79C2511yescharacteristic
617D316—212no—
618D316—26no—
619D316—26no—
620D316—46no—
621D316—412no—
622D316—46no—
623C4×D79—22no—
624C4×D79—26no—
625C4×D79—26no—
626C4×D79—26no—
627C4×D79—212no—
628C4×D79—46no—
629C4×D79—412no—
630C4×D79—46no—
631C4×D79—46no—
632C4×D79—46no—
633Dic158—26no—
634Dic158—22no—
635Dic158—46no—
636Dic158—46no—
637C22×C79—23no—
638C22×C79—23no—
639C22×C79—26no—
640C22×C79—26no—
641C22×C79—26no—
642C22×C79—812no—
643C22×C79C22×#4116yes—
644C22×C79C2611yescharacteristic
645C2×D79—23no—
646C2×D79—26no—
647C2×D79—21no—
648C2×D79—21no—
649C2×D79—23no—
650C2×D79—26no—
651C2×D79—26no—
652C2×D79—23no—
653C2×D79—21no—
654C2×D79—86no—
655C2×D79—812no—
656C4×C79—22no—
657C4×C79—21no—
658C4×C79—26no—
659C4×C79—23no—
660C4×C79—22no—
661C4×C79—21no—
662C4×C79—23no—
663C4×C79C22×#4116yes—
664C4×C79C22×#4112yes—
665Dic79—22no—
666Dic79—23no—
667Dic79—21no—
668Dic79—21no—
669Dic79—21no—
670Dic79—23no—
671Dic79—23no—
672Dic79—22no—
673Dic79—26no—
674#62858—791nomaximal, Sylow
675C2×C79—26no—
676C2×C79—46no—
677C2×C79C23×#4111yescharacteristic
678C2×C79H(7,𝔽2)11yescharacteristic
679C2×C79H(7,𝔽2)11yescharacteristic
680D79—43no—
681D79—46no—
682D79—41no—
683#3524—792no—
684#3524—792no—
685#3519—796no—
686#3519—796no—
687#3517—792no—
688#3517—792no—
689#3513—796no—
690#3513—796no—
691#3512—793no—
692#3508—793no—
693#3504—791no—
694#3498—791no—
695#3494—793no—
696#3494—793no—
697#3488—791no—
698#3488—791no—
699#3460—793no—
700#3460—793no—
701#3455—793no—
702C2×#540—793no—
703C4×H(5,𝔽2)—791no—
704C4×H(5,𝔽2)D7911yescharacteristic, complemented
705#3428—791no—
706C79#6285811yescharacteristic, complemented, Sylow
707C2×H(5,𝔽2)—791no—
708C2×H(5,𝔽2)C2×D7911yescharacteristic
709C22×#41—791no—
710#559—796no—
711#559—796no—
712#557—792no—
713#557—792no—
714#555—796no—
715#555—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#553—796no—
725#553—796no—
726#552—796no—
727#552—796no—
728#551—7912no—
729#551—7912no—
730#550—792no—
731#550—792no—
732#550—792no—
733#550—792no—
734#550—796no—
735#550—796no—
736#548—792no—
737#548—792no—
738#547—796no—
739#547—796no—
740#546—796no—
741#546—796no—
742#546—7912no—
743#546—7912no—
744#546—7912no—
745#546—7912no—
746D42—796no—
747D42—796no—
748D42—796no—
749D42—796no—
750#544—793no—
751#544—793no—
752#542—793no—
753#542—793no—
754#542—793no—
755#542—793no—
756#542—796no—
757#542—796no—
758#541—791no—
759#541—793no—
760#540—793no—
761#540—796no—
762#540—796no—
763#540—796no—
764#540—796no—
765#540—796no—
766#540—796no—
767#540—796no—
768#540—793no—
769#540—796no—
770#540—796no—
771#539—796no—
772#539—796no—
773#538—796no—
774#538—796no—
775#538—7912no—
776#538—7912no—
777#537—793no—
778#537—793no—
779#535—793no—
780#535—793no—
781#535—793no—
782#535—793no—
783#533—793no—
784#532—793no—
785#532—796no—
786#532—796no—
787#532—796no—
788#532—796no—
789C2×#127—793no—
790#529—796no—
791#529—796no—
792#529—796no—
793#529—796no—
794#529—796no—
795#529—796no—
796#529—796no—
797#529—796no—
798C2×#125—793no—
799#525—793no—
800#525—7912no—
801#525—7912no—
802#525—793no—
803C2×#123—796no—
804C2×#123—796no—
805C2×#121—793no—
806C2×#121—796no—
807C2×#121—793no—
808C2×#121—796no—
809#520—791no—
810#520—791no—
811#520—791no—
812#520—792no—
813#520—793no—
814#520—793no—
815#520—793no—
816#520C2×D7911yescharacteristic
817#520C2×D7913yescomplemented
818#520C2×D7912yescomplemented
819#519—791no—
820#519—791no—
821#518—793no—
822#518—793no—
823#518—796no—
824#518—793no—
825#518C2×D7913yescomplemented
826#518C2×D7916yescomplemented
827C4×#41—791no—
828C4×#41—792no—
829C4×#41—793no—
830C4×#41—793no—
831C4×#41—793no—
832C4×#41C2×D7911yescharacteristic
833C4×#41C2×D7913yescomplemented
834C4×#41C2×D7912yescomplemented
835C2×C4×D4—796no—
836C2×C4×D4—793no—
837C2×C4×D4C2×D7913yescomplemented
838C2×C4×D4C2×D7916yescomplemented
839C2×#117—793no—
840C2×#117—793no—
841H(5,𝔽2)—28no—
842H(5,𝔽2)—1588no—
843C2×#41—792no—
844C2×#41—791no—
845C2×#41—793no—
846C2×#41—7912no—
847C2×#41—7912no—
848C2×#41—793no—
849C2×#41—793no—
850C2×#41—1588no—
851C2×#41C22×D7913yes—
852C2×#41C22×D7912yes—
853C2×#41C22×D7911yescharacteristic
854C22×Q8—791no—
855C22×D4—796no—
856C22×D4—796no—
857C22×D4—796no—
858C22×D4—796no—
859C22×D4—793no—
860C22×D4—796no—
861C22×D4—793no—
862C22×D4C22×D7913yes—
863C22×D4C22×D7916yes—
864C23×C4—796no—
865C23×C4—793no—
866C23×C4C22×D7916yes—
867C4⋊Q8—791no—
868C4⋊Q8—793no—
869C4⋊Q8—793no—
870C4⋊Q8—796no—
871C4⋊Q8—796no—
872#127—793no—
873#127—796no—
874#127—796no—
875#127—796no—
876#127—796no—
877#127—796no—
878#126—792no—
879#126—796no—
880#126—7912no—
881#126—796no—
882#126—7912no—
883#126—796no—
884#126—792no—
885#126—796no—
886#126—796no—
887#126—796no—
888#125—793no—
889#125—796no—
890#125—796no—
891#125—796no—
892#125—792no—
893#125—796no—
894#125—796no—
895#125—791no—
896#125—792no—
897#125—796no—
898#125—796no—
899#124—793no—
900#124—793no—
901#124—796no—
902#124—796no—
903#124—796no—
904#124—7912no—
905#124—7912no—
906#124—796no—
907#124—796no—
908#124—796no—
909#123—796no—
910#123—796no—
911#123—7912no—
912#123—7912no—
913#123—7912no—
914#123—796no—
915#123—796no—
916#123—796no—
917#123—796no—
918#123—7912no—
919#123—796no—
920#123—796no—
921#123—7912no—
922#123—7912no—
923#123—7912no—
924#123—796no—
925#123—7912no—
926#123—796no—
927C22⋊Q8—791no—
928C22⋊Q8—793no—
929C22⋊Q8—796no—
930C22⋊Q8—7912no—
931C22⋊Q8—796no—
932C22⋊Q8—796no—
933C22⋊Q8—791no—
934C22⋊Q8—796no—
935C22⋊Q8—793no—
936C22⋊Q8—796no—
937C22⋊Q8—796no—
938C22⋊Q8—7912no—
939C22⋊Q8—796no—
940C22⋊Q8—796no—
941#121—793no—
942#121—796no—
943#121—796no—
944#121—796no—
945#121—793no—
946#121—7912no—
947#121—796no—
948#121—796no—
949#121—796no—
950#121—796no—
951#121—796no—
952#121—7912no—
953#121—7912no—
954#121—7912no—
955#121—7912no—
956#121—796no—
957#121—796no—
958#121—796no—
959#121—796no—
960#121—793no—
961#121—796no—
962#121—796no—
963#121—796no—
964#121—793no—
965#121—796no—
966#121—796no—
967#121—7912no—
968#121—7912no—
969#121—7912no—
970#121—796no—
971#121—7912no—
972#121—7912no—
973#120—7912no—
974#120—7912no—
975#120—7912no—
976#120—796no—
977#120—7912no—
978#120—796no—
979C4×Q8—791no—
980C4×Q8—791no—
981C4×Q8—792no—
982C4×Q8—793no—
983C4×Q8—793no—
984C4×Q8—791no—
985C4×Q8—793no—
986C4×Q8—793no—
987C4×Q8—793no—
988C4×Q8—796no—
989C4×Q8—796no—
990C4×Q8C22×D7911yescharacteristic
991C4×Q8C22×D7911yescharacteristic
992C4×Q8C22×D7911yescharacteristic
993C4×Q8C22×D7912yes—
994C4×Q8C22×D7913yes—
995C4×D4—796no—
996C4×D4—793no—
997C4×D4—793no—
998C4×D4—796no—
999C4×D4—796no—
1000C4×D4—796no—
1001C4×D4—796no—
1002C4×D4—796no—
1003C4×D4—796no—
1004C4×D4—7912no—
1005C4×D4—7912no—
1006C4×D4—7912no—
1007C4×D4—796no—
1008C4×D4—796no—
1009C4×D4—796no—
1010C4×D4—796no—
1011C4×D4—793no—
1012C4×D4—793no—
1013C4×D4—7912no—
1014C4×D4—796no—
1015C4×D4—796no—
1016C4×D4—796no—
1017C4×D4—793no—
1018C4×D4—796no—
1019C4×D4—796no—
1020C4×D4—793no—
1021C4×D4—793no—
1022C4×D4—793no—
1023C4×D4—796no—
1024C4×D4—796no—
1025C4×D4—7912no—
1026C4×D4C22×D7913yes—
1027C4×D4C22×D7913yes—
1028C4×D4C22×D7916yes—
1029C4×D4C22×D7913yes—
1030C4×D4C22×D7916yes—
1031C4×D4C22×D7916yes—
1032C4×D4C22×D7916yes—
1033C4×D4C22×D7916yes—
1034C4×D4C22×D79112yes—
1035C4×D4C22×D7916yes—
1036C4×D4C22×D7916yes—
1037C4×D4C22×D7913yes—
1038C4×D4C22×D7916yes—
1039#117—793no—
1040#117—793no—
1041#117—7912no—
1042#117—793no—
1043#117—793no—
1044#117—796no—
1045#117—796no—
1046#117—791no—
1047#117—793no—
1048#117—793no—
1049#117—793no—
1050#117—793no—
1051#117—793no—
1052#117—793no—
1053#117—793no—
1054#117—796no—
1055#117—7912no—
1056#117C22×D7913yes—
1057#117C22×D7913yes—
1058#117C22×D7916yes—
1059#117C22×D7916yes—
1060C2×C4⋊C4—793no—
1061C2×C4⋊C4—793no—
1062C2×C4⋊C4—793no—
1063C2×C4⋊C4—796no—
1064C2×C4⋊C4—796no—
1065C2×C4⋊C4—793no—
1066C2×C4⋊C4—793no—
1067C2×C4⋊C4—796no—
1068C2×C4⋊C4C22×D7913yes—
1069C2×C4⋊C4C22×D7916yes—
1070C2×C22⋊C4—796no—
1071C2×C22⋊C4—793no—
1072C2×C22⋊C4—793no—
1073C2×C22⋊C4—796no—
1074C2×C22⋊C4—796no—
1075C2×C22⋊C4—796no—
1076C2×C22⋊C4—7912no—
1077C2×C22⋊C4C22×D7916yes—
1078C2×C22⋊C4C22×D79112yes—
1079C2×C42—793no—
1080C2×C42—796no—
1081C2×C42—796no—
1082C2×C42C22×D7913yes—
1083C2×C42C22×D7916yes—
1084C24—796no—
1085C24—793no—
1086C24C23×D7916yes—
1087#41—28no—
1088#41—212no—
1089#41—63212no—
1090#41—63212no—
1091#41—1584no—
1092#41—1588no—
1093#41—15812no—
1094#41—15812no—
1095#41—15812no—
1096#41#1192962418yescomplemented
1097C2×Q8—796no—
1098C2×Q8—796no—
1099C2×Q8—793no—
1100C2×Q8—791no—
1101C2×Q8—1584no—
1102C2×Q8C23×D7911yescharacteristic
1103C2×Q8C23×D7911yescharacteristic
1104C2×D4—224no—
1105C2×D4—212no—
1106C2×D4—796no—
1107C2×D4—7912no—
1108C2×D4—7912no—
1109C2×D4—796no—
1110C2×D4—7912no—
1111C2×D4—796no—
1112C2×D4—796no—
1113C2×D4—796no—
1114C2×D4—796no—
1115C2×D4—796no—
1116C2×D4—796no—
1117C2×D4—7912no—
1118C2×D4—793no—
1119C2×D4—796no—
1120C2×D4—793no—
1121C2×D4—6326no—
1122C2×D4—6326no—
1123C2×D4—6326no—
1124C2×D4—6326no—
1125C2×D4—15812no—
1126C2×D4—15824no—
1127C2×D4—15812no—
1128C2×D4C23×D7916yes—
1129C2×D4C23×D7913yes—
1130C2×D4C23×D7916yes—
1131C2×D4C23×D7913yes—
1132C22×C4—86no—
1133C22×C4—793no—
1134C22×C4—793no—
1135C22×C4—796no—
1136C22×C4—796no—
1137C22×C4—796no—
1138C22×C4—796no—
1139C22×C4—796no—
1140C22×C4—7912no—
1141C22×C4—793no—
1142C22×C4—793no—
1143C22×C4—796no—
1144C22×C4—793no—
1145C22×C4—793no—
1146C22×C4—791no—
1147C22×C4—6326no—
1148C22×C4—15812no—
1149C22×C4C23×D7916yes—
1150C22×C4C23×D7913yes—
1151C22×C4C23×D7913yes—
1152C22×C4C23×D7916yes—
1153C22×C4C23×D7916yes—
1154C22×C4C23×D7916yes—
1155C22×C4C23×D79112yes—
1156C22×C4C23×D7913yes—
1157C4⋊C4—793no—
1158C4⋊C4—793no—
1159C4⋊C4—791no—
1160C4⋊C4—791no—
1161C4⋊C4—796no—
1162C4⋊C4—796no—
1163C4⋊C4—793no—
1164C4⋊C4—793no—
1165C4⋊C4—793no—
1166C4⋊C4—793no—
1167C4⋊C4—7912no—
1168C4⋊C4—792no—
1169C4⋊C4—796no—
1170C4⋊C4—792no—
1171C4⋊C4—792no—
1172C4⋊C4—792no—
1173C4⋊C4—796no—
1174C4⋊C4—796no—
1175C4⋊C4—792no—
1176C4⋊C4—796no—
1177C4⋊C4—793no—
1178C4⋊C4—796no—
1179C4⋊C4—793no—
1180C4⋊C4—793no—
1181C4⋊C4—7912no—
1182C4⋊C4—791no—
1183C4⋊C4—796no—
1184C4⋊C4—792no—
1185C4⋊C4—792no—
1186C4⋊C4C23×D7913yes—
1187C4⋊C4C23×D7913yes—
1188C4⋊C4C23×D7913yes—
1189C4⋊C4C23×D7916yes—
1190C4⋊C4C23×D7916yes—
1191C4⋊C4C23×D7911yescharacteristic
1192C4⋊C4C23×D7912yes—
1193C22⋊C4—796no—
1194C22⋊C4—796no—
1195C22⋊C4—796no—
1196C22⋊C4—7912no—
1197C22⋊C4—796no—
1198C22⋊C4—796no—
1199C22⋊C4—796no—
1200C22⋊C4—791no—
1201C22⋊C4—791no—
1202C22⋊C4—793no—
1203C22⋊C4—793no—
1204C22⋊C4—7912no—
1205C22⋊C4—796no—
1206C22⋊C4—796no—
1207C22⋊C4—796no—
1208C22⋊C4—793no—
1209C22⋊C4—793no—
1210C22⋊C4—793no—
1211C22⋊C4—793no—
1212C22⋊C4—7912no—
1213C22⋊C4—796no—
1214C22⋊C4—792no—
1215C22⋊C4—792no—
1216C22⋊C4—796no—
1217C22⋊C4—796no—
1218C22⋊C4—796no—
1219C22⋊C4—796no—
1220C22⋊C4C23×D7916yes—
1221C22⋊C4C23×D7916yes—
1222C22⋊C4C23×D7916yes—
1223C22⋊C4C23×D79112yes—
1224C22⋊C4C23×D7916yes—
1225C42—793no—
1226C42—791no—
1227C42—792no—
1228C42—796no—
1229C42—796no—
1230C42—796no—
1231C42—796no—
1232C42—793no—
1233C42—793no—
1234C42C23×D7913yes—
1235C42C23×D7913yes—
1236C42C23×D7911yescharacteristic
1237C42C23×D7913yes—
1238C42C23×D7912yes—
1239C42C23×D7916yes—
1240C42C23×D7916yes—
1241C23—212no—
1242C23—46no—
1243C23—46no—
1244C23—3166no—
1245C23—3163no—
1246C23—3166no—
1247C23—3163no—
1248C23—791no—
1249C23—796no—
1250C23—793no—
1251C23—1586no—
1252C23—15812no—
1253C23C24×D7916yes—
1254C23C24×D7913yes—
1255Q8—22no—
1256Q8—3166no—
1257Q8—3166no—
1258Q8—1586no—
1259Q8—1582no—
1260Q8C2×#1192962414yes—
1261D4—212no—
1262D4—212no—
1263D4—26no—
1264D4—3166no—
1265D4—31612no—
1266D4—3166no—
1267D4—3166no—
1268D4—3166no—
1269D4—3166no—
1270D4—31612no—
1271D4—31612no—
1272D4—31612no—
1273D4—3166no—
1274D4—15812no—
1275D4—15812no—
1276D4—15812no—
1277D4—1586no—
1278D4—1586no—
1279D4C2×#11929624112yes—
1280C2×C4—212no—
1281C2×C4—43no—
1282C2×C4—46no—
1283C2×C4—46no—
1284C2×C4—412no—
1285C2×C4—43no—
1286C2×C4—46no—
1287C2×C4—3166no—
1288C2×C4—31612no—
1289C2×C4—3166no—
1290C2×C4—3166no—
1291C2×C4—3166no—
1292C2×C4—3166no—
1293C2×C4—3163no—
1294C2×C4—3163no—
1295C2×C4—793no—
1296C2×C4—792no—
1297C2×C4—792no—
1298C2×C4—793no—
1299C2×C4—793no—
1300C2×C4—791no—
1301C2×C4—791no—
1302C2×C4—796no—
1303C2×C4—791no—
1304C2×C4—1586no—
1305C2×C4—1582no—
1306C2×C4—1586no—
1307C2×C4—1586no—
1308C2×C4—1586no—
1309C2×C4—15812no—
1310C2×C4C2×#11929624112yes—
1311C2×C4C24×D7913yes—
1312C2×C4C24×D7911yescharacteristic
1313C2×C4C24×D7913yes—
1314C2×C4C24×D7911yescharacteristic
1315C2×C4C24×D7912yes—
1316C2×C4C24×D7912yes—
1317C2×C4C24×D7916yes—
1318C2×C4C24×D7913yes—
1319C2×C4C24×D7911yescharacteristic
1320C22—23no—
1321C22—23no—
1322C22—26no—
1323C22—26no—
1324C22—26no—
1325C22—812no—
1326C22—6326no—
1327C22—63212no—
1328C22—1581no—
1329C22—1583no—
1330C22—1586no—
1331C22—1583no—
1332C22—1586no—
1333C22—1581no—
1334C22—1586no—
1335C22—1583no—
1336C22—1581no—
1337C22C22×#1192962416yes—
1338C22C25×D7911yescharacteristic
1339C4—22no—
1340C4—21no—
1341C4—23no—
1342C4—26no—
1343C4—21no—
1344C4—23no—
1345C4—22no—
1346C4—1581no—
1347C4—1582no—
1348C4—1583no—
1349C4—1581no—
1350C4—1583no—
1351C4—1582no—
1352C4—1586no—
1353C4—1581no—
1354C4—1583no—
1355C4C22×#1192962416yes—
1356C4C22×#1192962412yes—
1357C2—26no—
1358C2—46no—
1359C2—3161no—
1360C2—3166no—
1361C2—3163no—
1362C2C23×#1192962411yescharacteristic
1363C2#2377821011yescharacteristic
1364C2#2377821111yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC4×H(5,𝔽2)×C79C2
hypercenterC4×H(5,𝔽2)D79
hypocenterC79#62858
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×H(5,𝔽2)

Complements

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

NH ≅ G/Ntype
1. #23777509C2semidirect
2. #23777501C2semidirect
3. #23777432C2semidirect
4. #23777422C2semidirect
5. #23777406C2semidirect
6. #23777400C2semidirect
7. #23777340C2semidirect
8. #23777328C2semidirect
9. #23777317C2semidirect
10. #23777271C2semidirect
11. #23777222C2semidirect
12. #23777174C2semidirect
13. #23777136C2semidirect
14. #23777125C2semidirect
15. #23777070C2semidirect
16. #23777062C2semidirect
17. #23776822C2semidirect
18. #23776816C2semidirect
19. #23776785C2semidirect
20. C2×#19099164C2semidirect
21. C4×#14579207C2semidirect
22. #23776599C2semidirect
23. C4×H(5,𝔽2)×C79C2semidirect
26. #19099296C22semidirect
27. #19099296C22semidirect
28. #19099292C22semidirect
29. #19099289C22semidirect
30. #19099278C22semidirect
31. #19099276C22semidirect
32. #19099272C22semidirect
33. #19099270C22semidirect
34. #19099263C22semidirect
35. #19099263C22semidirect
36. #19099262C22semidirect
37. #19099261C22semidirect
38. #19099261C22semidirect
39. #19099259C22semidirect
40. #19099257C22semidirect
41. #19099257C22semidirect
42. #19099252C22semidirect
43. #19099248C22semidirect
44. #19099242C22semidirect
45. #19099239C22semidirect
46. #19099235C22semidirect
47. #19099234C22semidirect
48. #19099234C22semidirect
49. #19099232C22semidirect
50. #19099232C22semidirect
51. #19099232C22semidirect
52. #19099225C22semidirect
53. #19099220C22semidirect
54. #19099218C22semidirect
55. #19099214C22semidirect
56. #19099209C22semidirect
57. #19099208C22semidirect
58. #19099207C22semidirect
59. #19099203C22semidirect
60. #19099203C22semidirect
61. #19099203C22semidirect
62. D4×D316C22semidirect
63. D4×C22⋊D79C22semidirect
64. D4×C22⋊D79C22semidirect
65. D4×C22⋊D79C22semidirect
66. #19099194C22semidirect
67. #19099191C22semidirect
68. #19099185C22semidirect
69. #19099185C22semidirect
70. #19099184C22semidirect
71. #19099178C22semidirect
72. #19099178C22semidirect
73. #19099178C22semidirect
74. #19099171C22semidirect
75. #19099171C22semidirect
76. #19099168C22semidirect
77. #19099164C22semidirect
78. #19099164C22semidirect
79. #19099164C22semidirect
80. #19099164C22semidirect
81. #19099164C22semidirect
82. #19099164C22semidirect
83. #19099164C22semidirect
84. #19099164C22semidirect
85. #19099164C22semidirect
86. #19099164C22semidirect
87. #19099155C22semidirect
88. #19099155C22semidirect
89. #19099151C22semidirect
90. #19099146C22semidirect
91. #19099146C22semidirect
92. #19099146C22semidirect
93. #19099144C22semidirect
94. #19099141C22semidirect
95. #19099132C22semidirect
96. #19099130C22semidirect
97. #19099130C22semidirect
98. #19099127C22semidirect
99. #19099116C22semidirect
100. #19099113C22semidirect
101. #19099110C22semidirect
102. #19099110C22semidirect
103. #19099110C22semidirect
104. #19099109C22semidirect
105. C2×#14579157C22semidirect
106. #19099100C22semidirect
107. #19099097C22semidirect
108. #19099097C22semidirect
109. #19099097C22semidirect
110. #19099095C22semidirect
111. #19099095C22semidirect
112. #19099091C22semidirect
113. #19099091C22semidirect
114. C2×#14579152C22semidirect
115. #19099075C22semidirect
116. #19099074C22semidirect
117. #19099072C22semidirect
118. #19099070C22semidirect
119. C2×#14579144C22semidirect
120. C2×#14579143C22semidirect
121. C2×#14579136C22semidirect
122. C2×#14579135C22semidirect
123. C2×#14579134C22semidirect
124. C2×#14579132C22semidirect
126. #19099045C22semidirect
127. #19099045C22semidirect
128. #19099045C22semidirect
129. #19099043C22semidirect
130. #19099042C22semidirect
131. #19099042C22semidirect
132. #19099039C22semidirect
133. #19099039C22semidirect
134. #19099037C22semidirect
135. #19099035C22semidirect
136. #19099035C22semidirect
137. #19099035C22semidirect
139. C4×#11929625C22semidirect
140. C4×#11929624C22semidirect
141. C4×#11929624C22semidirect
142. #19099031C22semidirect
143. C2×C4×D316C22semidirect
144. C4×D4×D79C22semidirect
145. C2×#14579118C22semidirect
146. #117×D79C22semidirect
149. #520×C79C22semidirect
150. #520×C79C22semidirect
151. #518×C79C22semidirect
152. #518×C79C22semidirect
154. C4×#41×C79C22semidirect
155. C4×#41×C79C22semidirect
156. C2×C4×D4×C79C22semidirect
157. C2×C4×D4×C79C22semidirect
521. #41×C79#41semidirect
704. C4×H(5,𝔽2)D79semidirect
706. C79#62858semidirect
817. #520C2×D79semidirect
818. #520C2×D79semidirect
825. #518C2×D79semidirect
826. #518C2×D79semidirect
833. C4×#41C2×D79semidirect
834. C4×#41C2×D79semidirect
837. C2×C4×D4C2×D79semidirect
838. C2×C4×D4C2×D79semidirect
1096. #41#11929624semidirect

Maximal subgroups

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

subgroupindex
#237775092
#237775012
#237774322
#237774222
#237774062
#237774002
#237773402
#237773282
#237773172
#237772712
#237772222
#237771742
#237771362
#237771252
#237770702
#237770622
#237768222
#237768162
#237767852
C2×#190991642
C4×#145792072
#237765992
C4×H(5,𝔽2)×C792
#6285879