Finite Group Databasebeta

← #35197441

Subgroups — #35197441

Order 20224.

7082 conjugacy classes of subgroups.

The subgroup lattice has 1346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777510C212yesmaximal, complemented
2#23777476C212yesmaximal, complemented
3#23777453C216yesmaximal, complemented
4#23777436C216yesmaximal, complemented
5#23777408C212yesmaximal, complemented
6#23777382C212yesmaximal, complemented
7#23777348C216yesmaximal, complemented
8#23777341C216yesmaximal, complemented
9#23777307C213yesmaximal, complemented
10#23777294C213yesmaximal, complemented
11#23777219C211yesmaximal, characteristic, complemented
12#23777149C213yesmaximal, complemented
13#23777132C213yesmaximal, complemented
14#23777073C211yesmaximal, characteristic, complemented
15#23777062C211yesmaximal, characteristic, complemented
16#23776824C213yesmaximal, complemented
17#23776813C213yesmaximal, complemented
18#23776789C213yesmaximal, complemented
19C2×#19099182C213yesmaximal, complemented
202−1+4×Dic79C211yesmaximal, characteristic, complemented
21H(5,𝔽2)×Dic79C211yesmaximal, characteristic, complemented
22#23776599C211yesmaximal, characteristic, complemented
23C79×#3500C211yesmaximal, characteristic, complemented
24C2×#41×D79C2211yescharacteristic
25#19099295C2216yescomplemented
26#19099295C2216yescomplemented
27Q8×Dic158C2212yescomplemented
28#19099292C2212yescomplemented
29#19099284C2216yescomplemented
30#19099283C2216yescomplemented
31#19099282C2216yescomplemented
32#19099282C2216yescomplemented
33#19099278C2216yescomplemented
34#19099277C2216yescomplemented
35#19099271C2216yescomplemented
36#19099270C2216yescomplemented
37#19099270C2216yescomplemented
38#19099265C22112yescomplemented
39#19099265C2216yescomplemented
40#19099260C2216yescomplemented
41#19099255C2216yescomplemented
42#19099250C22112yescomplemented
43#19099247C2216yescomplemented
44#19099244C22112yescomplemented
45#19099239C22112yescomplemented
46#19099239C22112yescomplemented
47#19099236C22112yescomplemented
48#19099232C2212yes—
49D4×Dic158C2216yescomplemented
50Q8×C22⋊D79C2212yescomplemented
51#19099224C2212yescomplemented
52#19099220C2212yes—
53#19099219C22112yescomplemented
54#19099217C2216yescomplemented
55#19099213C2216yescomplemented
56#19099212C2216yescomplemented
57#19099207C2216yes—
58#19099201C2216yescomplemented
59#19099200C22112yescomplemented
60D4×C22⋊D79C2216yes—
61#19099191C2213yescomplemented
62#19099191C2213yescomplemented
63#19099186C2216yescomplemented
64#19099182C2213yescomplemented
65#19099182C2216yescomplemented
66#19099182C2216yescomplemented
67#19099182C2216yescomplemented
68#19099182C2216yescomplemented
69#19099182C2216yescomplemented
70#19099182C2216yescomplemented
71#19099182C2216yescomplemented
72#19099182C2213yescomplemented
73#19099182C2211yescharacteristic, complemented
74#19099182C2213yescomplemented
75#19099180C2216yescomplemented
76#19099174C2213yescomplemented
77#19099174C2213yescomplemented
78#19099173C2216yescomplemented
79#19099167C2213yescomplemented
80#19099167C2213yescomplemented
81#19099166C2216yescomplemented
82#19099158C2216yescomplemented
83#19099158C2216yescomplemented
84#19099157C22112yescomplemented
85#19099150C2216yescomplemented
86#19099150C2216yescomplemented
87#19099148C22112yescomplemented
88#19099141C2213yes—
89#19099141C2213yescomplemented
90#19099137C2213yescomplemented
91#19099130C2213yes—
92#19099120C2213yescomplemented
93#19099118C2216yescomplemented
94#19099115C2216yescomplemented
95#19099111C2216yescomplemented
96#19099108C2216yescomplemented
97C2×#14579161C2213yescomplemented
98#19099099C2216yescomplemented
99#19099094C2216yescomplemented
100#19099093C2216yescomplemented
101#19099093C2216yescomplemented
102#19099093C2216yescomplemented
103#19099093C2216yescomplemented
104#19099092C2216yescomplemented
105#19099092C2216yescomplemented
106#19099090C22112yescomplemented
107C2×#14579154C2216yescomplemented
108C2×#14579147C2216yescomplemented
109#19099070C2213yes—
110#19099070C2213yescomplemented
111#19099069C22112yescomplemented
112C2×#14579145C2216yescomplemented
113C2×#14579138C2216yescomplemented
114C2×#14579137C2213yescomplemented
115C2×#14579132C2213yes—
116#19099046C2211yescharacteristic
117#19099046C2211yescharacteristic
118#19099046C2213yescomplemented
119#19099046C2213yescomplemented
120#19099046C2216yescomplemented
121#19099046C2212yescomplemented
122#19099045C2211yescharacteristic, complemented
123#19099045C2211yescharacteristic, complemented
124#19099042C2213yescomplemented
125#19099042C2213yescomplemented
126#19099041C2213yescomplemented
127#19099041C2212yescomplemented
128#19099039C2211yescharacteristic, complemented
129#19099039C2211yescharacteristic, complemented
130#19099038C2213yescomplemented
131#19099038C2216yescomplemented
132#19099035C2213yescomplemented
133#19099035C2213yescomplemented
134#41×Dic79C2211yescharacteristic
135#41×Dic79C2213yescomplemented
136#41×Dic79C2213yescomplemented
137#41×Dic79C2216yescomplemented
138#41×Dic79C2212yescomplemented
139C4×#11929624C2213yescomplemented
140#19099031C2213yescomplemented
141C2×Q8×Dic79C2213yescomplemented
142C2×Q8×Dic79C2212yescomplemented
143C2×D4×Dic79C2213yescomplemented
144C2×D4×Dic79C2216yescomplemented
145C2×#14579118C2213yescomplemented
146#117×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×#11929623C23112yes—
162#41×D79—28no—
163C22×Dic158C2316yes—
164C2×Q8×D79C2311yescharacteristic
165C22×C22⋊D79C2316yes—
166C2×D4×D79C2313yes—
167C23×Dic79C2316yes—
168C22×C4×D79C2313yes—
169#14579161C2313yes—
170#14579161C2311yescharacteristic
171#14579161C2316yes—
172#14579161C2316yes—
173#14579161C2316yes—
174#14579160C2316yes—
175#14579160C2316yes—
176#14579159C2316yes—
177#14579157C2316yes—
178#14579156C2316yes—
179#14579156C2316yes—
180#14579156C2316yes—
181#14579156C2316yes—
182#14579154C23112yes—
183#14579154C23112yes—
184#14579154C23112yes—
185#14579154C2312yes—
186#14579154C2316yes—
187#14579154C2316yes—
188#14579154C2316yes—
189#14579154C23112yes—
190#14579154C23112yes—
191#14579153C2313yes—
192#14579153C2313yes—
193#14579152C23112yes—
194#14579152C2316yes—
195#14579152C2316yes—
196#14579151C2316yes—
197#14579151C2316yes—
198#14579151C2316yes—
199#14579151C2316yes—
200#14579150C2316yes—
201#14579148C23112yes—
202#14579148C2316yes—
203#14579147C23112yes—
204#14579147C2312yes—
205#14579147C2316yes—
206#14579147C2316yes—
207#14579147C2316yes—
208#14579147C23112yes—
209#14579147C23112yes—
210#14579145C2312yes—
211#14579145C2316yes—
212#14579145C2316yes—
213#14579145C2316yes—
214#14579145C23112yes—
215#14579145C23112yes—
216#14579145C23112yes—
217#14579144C23112yes—
218#14579143C23112yes—
219#14579143C23112yes—
220#14579142C2316yes—
221#14579142C2316yes—
222#14579142C2316yes—
223#14579142C2316yes—
224#14579142C2316yes—
225#14579142C2316yes—
226#14579141C23112yes—
227#14579140C2316yes—
228#14579140C2316yes—
229#14579140C2316yes—
230#14579140C2316yes—
231#14579138C23112yes—
232#14579138C23112yes—
233#14579138C23112yes—
234#14579138C2312yes—
235#14579138C2316yes—
236#14579138C2316yes—
237#14579138C2316yes—
238#14579138C23112yes—
239#14579138C23112yes—
240#14579137C2313yes—
241#14579137C2316yes—
242#14579137C2313yes—
243#14579137C2311yescharacteristic
244#14579137C2313yes—
245#14579137C2316yes—
246#14579137C2316yes—
247#14579135C2316yes—
248#14579135C2316yes—
249#14579133C23112yes—
250#14579133C23112yes—
251#14579133C2316yes—
252#14579133C2316yes—
253#14579133C2316yes—
254#14579133C2316yes—
255#14579132C2316yes—
256#14579132C2313yes—
257#14579132C23112yes—
258#14579132C2311yescharacteristic
259#14579132C2313yes—
260#14579132C2313yes—
261#14579132C2316yes—
262#14579132C2316yes—
263#14579130C23112yes—
264#14579129C2316yes—
265#14579129C2316yes—
266Q8×Dic79C2316yes—
267Q8×Dic79C2311yescharacteristic
268Q8×Dic79C2313yes—
269Q8×Dic79C2313yes—
270Q8×Dic79C2313yes—
271Q8×Dic79C2316yes—
272Q8×Dic79C2316yes—
273Q8×Dic79C2312yes—
274Q8×Dic79C2312yes—
275Q8×Dic79C2316yes—
276Q8×Dic79C2316yes—
277Q8×Dic79C2311yescharacteristic
278Q8×Dic79C2311yescharacteristic
279C4×Dic158C2316yes—
280C4×Dic158C2313yes—
281C4×Dic158C2316yes—
282C4×Dic158C2313yes—
283#14579126C2313yes—
284#14579126C2313yes—
285#14579126C23112yes—
286C4×D316C2313yes—
287C4×D316C2313yes—
288D4×Dic79C2316yes—
289D4×Dic79C2316yes—
290D4×Dic79C2316yes—
291D4×Dic79C2316yes—
292D4×Dic79C2316yes—
293D4×Dic79C2311yescharacteristic
294D4×Dic79C2313yes—
295D4×Dic79C2313yes—
296D4×Dic79C2313yes—
297D4×Dic79C2316yes—
298D4×Dic79C2316yes—
299D4×Dic79C2316yes—
300D4×Dic79C23112yes—
301D4×Dic79C2316yes—
302D4×Dic79C2316yes—
303D4×Dic79C23112yes—
304D4×Dic79C23112yes—
305D4×Dic79C2316yes—
306D4×Dic79C2313yes—
307D4×Dic79C2313yes—
308#14579123C2313yes—
309#14579123C2313yes—
310C4×C22⋊D79C2316yes—
311C4×C22⋊D79C2316yes—
312C4×C22⋊D79C2316yes—
313C4×C22⋊D79C2316yes—
314C4×C22⋊D79C2316yes—
315C4×C22⋊D79C2316yes—
316(C22⋊D79)⋊C4C2316yes—
317(C22⋊D79)⋊C4C2316yes—
318(C22⋊D79)⋊C4C23112yes—
319(C22⋊D79)⋊C4C23112yes—
320#14579120C2313yes—
321#14579120C2316yes—
322#14579120C2316yes—
323#14579120C2313yes—
324#14579120C23112yes—
325#14579120C2316yes—
326#14579120C2316yes—
327#14579120C2313yes—
328#14579119C23112yes—
329#14579119C2313yes—
330#14579119C2313yes—
331#14579118C2313yes—
332#14579118C2313yes—
333#14579118C2311yescharacteristic
334#14579118C2313yes—
335#14579118C2313yes—
336#14579118C2313yes—
337#14579118C2313yes—
338#14579118C2313yes—
339#14579117C23112yes—
340#14579117C23112yes—
341#14579117C2316yes—
342C2×C4⋊Dic79C2313yes—
343C2×C4⋊Dic79C2313yes—
344C2×C4⋊Dic79C2316yes—
345C2×C4⋊Dic79C2316yes—
346C2×C4⋊Dic79C2316yes—
347C2×C4⋊Dic79C2316yes—
348C2×Dic79⋊C4C2313yes—
349C2×Dic79⋊C4C2313yes—
350C2×Dic79⋊C4C2316yes—
351C4⋊C4×D79C2313yes—
352C4⋊C4×D79C2313yes—
353C2×C22⋊Dic79C2316yes—
354C2×C22⋊Dic79C23112yes—
355C2×C22⋊Dic79C2316yes—
356C2×(C2×D79)⋊C4C2313yes—
357C2×(C2×D79)⋊C4C2313yes—
358C2×(C2×D79)⋊C4C2316yes—
359C22⋊C4×D79C2316yes—
360C2×C4×Dic79C2313yes—
361C2×C4×Dic79C2316yes—
362C2×C4×Dic79C2316yes—
363C2×C4×Dic79C2316yes—
364C42×D79C2316yes—
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×C79C2313yes—
379#124×C79C2311yescharacteristic
380#124×C79C2316yes—
381#124×C79C2316yes—
382#124×C79C2316yes—
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×C79C2316yes—
394C4×D4×C79C2313yes—
395C4×D4×C79C2313yes—
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—812no—
406C2×Dic158—86no—
407C2×Dic158C2413yes—
408C2×Dic158C2416yes—
409C2×Dic158C24112yes—
410C2×Dic158C2412yes—
411Q8×D79—24no—
412C2×D316C2413yes—
413C2×C22⋊D79—86no—
414C2×C22⋊D79C2416yes—
415C2×C22⋊D79C2416yes—
416C2×C22⋊D79C24112yes—
417C2×C22⋊D79C2416yes—
418C2×C22⋊D79C2412yes—
419C2×C22⋊D79C2416yes—
420D4×D79—212no—
421C22×Dic79—86no—
422C22×Dic79C2413yes—
423C22×Dic79C2416yes—
424C22×Dic79C2416yes—
425C22×Dic79C2416yes—
426C22×Dic79C24112yes—
427C22×Dic79C2413yes—
428C22×Dic79C2412yes—
429C22×Dic79C2413yes—
430C22×Dic79C2416yes—
431C22×Dic79C2416yes—
432C2×C4×D79—212no—
433C2×C4×D79C2413yes—
434C2×C4×D79C2413yes—
435C2×C4×D79C2413yes—
436C2×C4×D79C2411yescharacteristic
437C2×C4×D79C2416yes—
438C2×C4×D79C2416yes—
439C4⋊Dic79C2413yes—
440C4⋊Dic79C2413yes—
441C4⋊Dic79C2413yes—
442C4⋊Dic79C2416yes—
443C4⋊Dic79C2416yes—
444C4⋊Dic79C2413yes—
445C4⋊Dic79C2416yes—
446C4⋊Dic79C2416yes—
447C4⋊Dic79C24112yes—
448C4⋊Dic79C2416yes—
449C4⋊Dic79C24112yes—
450C4⋊Dic79C2411yescharacteristic
451C4⋊Dic79C2412yes—
452C4⋊Dic79C2411yescharacteristic
453C4⋊Dic79C2416yes—
454C4⋊Dic79C2412yes—
455Dic79⋊C4C2413yes—
456Dic79⋊C4C2413yes—
457Dic79⋊C4C2411yescharacteristic
458Dic79⋊C4C2411yescharacteristic
459Dic79⋊C4C2416yes—
460Dic79⋊C4C24112yes—
461Dic79⋊C4C2413yes—
462Dic79⋊C4C2413yes—
463Dic79⋊C4C2413yes—
464Dic79⋊C4C2413yes—
465Dic79⋊C4C2416yes—
466Dic79⋊C4C2416yes—
467Dic79⋊C4C2416yes—
468Dic79⋊C4C2416yes—
469Dic79⋊C4C2416yes—
470Dic79⋊C4C2412yes—
471Dic79⋊C4C2416yes—
472C22⋊Dic79C2416yes—
473C22⋊Dic79C2416yes—
474C22⋊Dic79C24112yes—
475C22⋊Dic79C2416yes—
476C22⋊Dic79C2416yes—
477C22⋊Dic79C2416yes—
478C22⋊Dic79C24112yes—
479C22⋊Dic79C2416yes—
480C22⋊Dic79C2416yes—
481C22⋊Dic79C2416yes—
482C22⋊Dic79C2412yes—
483C22⋊Dic79C2412yes—
484C22⋊Dic79C2416yes—
485(C2×D79)⋊C4C2413yes—
486(C2×D79)⋊C4C2413yes—
487(C2×D79)⋊C4C2411yescharacteristic
488(C2×D79)⋊C4C2411yescharacteristic
489(C2×D79)⋊C4C2416yes—
490(C2×D79)⋊C4C2413yes—
491(C2×D79)⋊C4C2413yes—
492(C2×D79)⋊C4C2413yes—
493(C2×D79)⋊C4C2413yes—
494(C2×D79)⋊C4C24112yes—
495(C2×D79)⋊C4C2416yes—
496(C2×D79)⋊C4C2416yes—
497(C2×D79)⋊C4C2412yes—
498C4×Dic79C2413yes—
499C4×Dic79C2416yes—
500C4×Dic79C2416yes—
501C4×Dic79C2411yescharacteristic
502C4×Dic79C2413yes—
503C4×Dic79C2413yes—
504C4×Dic79C2412yes—
505C4×Dic79C2416yes—
506C4×Dic79C2416yes—
507C4×Dic79C24112yes—
508C4×Dic79C2416yes—
509C4×Dic79C2416yes—
510C4×Dic79C2416yes—
511C24×C79C2416yes—
512#41×C79—28no—
513#41×C79—224no—
514#41×C79—212no—
515#41×C79—212no—
516#41×C79#4118yescomplemented
517C2×Q8×C79—28no—
518C2×Q8×C79—212no—
519C2×Q8×C79C2416yes—
520C2×Q8×C79C2413yes—
521C2×Q8×C79C2411yescharacteristic
522C2×Q8×C79C2411yescharacteristic
523C2×D4×C79—224no—
524C2×D4×C79—212no—
525C2×D4×C79C2416yes—
526C2×D4×C79C2416yes—
527C2×D4×C79C2416yes—
528C2×D4×C79C2413yes—
529C2×D4×C79C2411yescharacteristic
530C2×D4×C79C2416yes—
531C2×D4×C79C2416yes—
532C2×D4×C79C2413yes—
533C22×C4×C79C2416yes—
534C22×C4×C79C2416yes—
535C22×C4×C79C2416yes—
536C22×C4×C79C2413yes—
537C22×C4×C79C2413yes—
538C22×C4×C79C2413yes—
539C4⋊C4×C79C2413yes—
540C4⋊C4×C79C2413yes—
541C4⋊C4×C79C2416yes—
542C4⋊C4×C79C2416yes—
543C22⋊C4×C79C2416yes—
544C22⋊C4×C79C2416yes—
545C22⋊C4×C79C24112yes—
546C22⋊C4×C79C24112yes—
547C22⋊C4×C79C2416yes—
548C22⋊C4×C79C2412yes—
549C22⋊C4×C79C2412yes—
550C42×C79C2411yescharacteristic
551C42×C79C2413yes—
552C42×C79C2413yes—
553C42×C79C2413yes—
554C23×C79—212no—
555C23×C79—46no—
556C23×C79—46no—
557C23×C79C2516yes—
558C23×C79C2512yes—
559C23×C79C2513yes—
560C22×D79—26no—
561C22×D79—43no—
562C22×D79—43no—
563C22×D79C2511yescharacteristic
564C22×D79C2513yes—
565Q8×C79—212no—
566Q8×C79—26no—
567Q8×C79—22no—
568Q8×C79C2×#4114yes—
569D4×C79—212no—
570D4×C79—212no—
571D4×C79—212no—
572D4×C79—26no—
573D4×C79—22no—
574D4×C79—46no—
575D4×C79—46no—
576D4×C79C2×#41112yes—
577C2×C4×C79—212no—
578C2×C4×C79—212no—
579C2×C4×C79—212no—
580C2×C4×C79—43no—
581C2×C4×C79—43no—
582C2×C4×C79C2×#41112yes—
583C2×C4×C79C2516yes—
584C2×C4×C79C2512yes—
585C2×C4×C79C2513yes—
586C2×C4×C79C2513yes—
587C2×C4×C79C2511yescharacteristic
588C2×C4×C79C2511yescharacteristic
589C2×C4×C79C2513yes—
590C2×C4×C79C2511yescharacteristic
591C22⋊D79—212no—
592C22⋊D79—46no—
593C22⋊D79—412no—
594C22⋊D79—46no—
595C22⋊D79—42no—
596C22⋊D79—46no—
597C2×Dic79—26no—
598C2×Dic79—46no—
599C2×Dic79—43no—
600C2×Dic79—46no—
601C2×Dic79—412no—
602C2×Dic79—42no—
603C2×Dic79—46no—
604C2×Dic79—43no—
605C2×Dic79—46no—
606C2×Dic79—46no—
607C2×Dic79C2511yescharacteristic
608C2×Dic79C2513yes—
609C2×Dic79C2511yescharacteristic
610C2×Dic79C2513yes—
611C2×Dic79C2512yes—
612C2×Dic79C2512yes—
613C2×Dic79C2516yes—
614C2×Dic79C2513yes—
615C2×Dic79C2516yes—
616C2×Dic79C2511yescharacteristic
617D316—26no—
618C4×D79—22no—
619C4×D79—26no—
620C4×D79—26no—
621C4×D79—26no—
622C4×D79—46no—
623C4×D79—46no—
624Dic158—26no—
625Dic158—46no—
626Dic158—412no—
627Dic158—42no—
628C22×C79—23no—
629C22×C79—23no—
630C22×C79—22no—
631C22×C79—26no—
632C22×C79—22no—
633C22×C79—26no—
634C22×C79—22no—
635C22×C79—26no—
636C22×C79—812no—
637C22×C79C22×#4116yes—
638C22×C79C2611yescharacteristic
639C2×D79—23no—
640C2×D79—21no—
641C2×D79—21no—
642C2×D79—23no—
643C2×D79—21no—
644C2×D79—23no—
645C2×D79—86no—
646C4×C79—22no—
647C4×C79—26no—
648C4×C79—21no—
649C4×C79—23no—
650C4×C79—21no—
651C4×C79—23no—
652C4×C79C22×#4116yes—
653C4×C79C22×#4112yes—
654Dic79—23no—
655Dic79—21no—
656Dic79—26no—
657Dic79—26no—
658Dic79—23no—
659Dic79—21no—
660Dic79—22no—
661Dic79—22no—
662Dic79—23no—
663Dic79—21no—
664#62857—791nomaximal, Sylow
665C2×C79—26no—
666C2×C79—42no—
667C2×C79—46no—
668C2×C79C23×#4111yescharacteristic
669C2×C79H(7,𝔽2)11yescharacteristic
670C2×C792−1+611yescharacteristic
671D79—43no—
672D79—41no—
673#3524—792no—
674#3522—792no—
675#3521—796no—
676#3520—796no—
677#3518—792no—
678#3516—792no—
679#3514—796no—
680#3513—796no—
681#3511—793no—
682#3510—793no—
683#3503—791no—
684#3500D7911yescharacteristic, complemented
685#3495—793no—
686#3494—793no—
687#3489—791no—
688#3488—791no—
689#3461—793no—
690#3460—793no—
691#3455—793no—
692C2×#542—793no—
693C4×2−1+4—791no—
694C4×H(5,𝔽2)—791no—
695#3428—791no—
696C79#6285711yescharacteristic, complemented, Sylow
697C2×2−1+4C2×D7911yescharacteristic
698C2×H(5,𝔽2)C2×D7911yescharacteristic
699C22×#41—791no—
700#559—796no—
701#559—796no—
702Q82—792no—
703#557—792no—
704#556—796no—
705#556—796no—
706#556—796no—
707#556—796no—
708#555—796no—
709#555—796no—
710#554—796no—
711#554—796no—
712#554—796no—
713#553—796no—
714#553—796no—
715#553—7912no—
716#552—7912no—
717#552—796no—
718#552—796no—
719#551—7912no—
720#551—7912no—
721#551—7912no—
722#551—7912no—
723#550—792no—
724D4×Q8—792no—
725D4×Q8—796no—
726#548—792no—
727#548—792no—
728#548—7912no—
729#548C2×D7912yescomplemented
730#548C2×D7912yescomplemented
731#547—796no—
732#547—796no—
733#547—796no—
734#546—796no—
735#546—796no—
736#546—7912no—
737#546C2×D7916yescomplemented
738#546C2×D7916yescomplemented
739D42—796no—
740#544—793no—
741#544—793no—
742#542—793no—
743#542—796no—
744#542—796no—
745#542—796no—
746#542—796no—
747#542—796no—
748#542—796no—
749#542—796no—
750#542—791no—
751#542—793no—
752#542—793no—
753#542—796no—
754#542—796no—
755#541—793no—
756#541—793no—
757#541—796no—
758#540—793no—
759#540—793no—
760#540—796no—
761#539—7912no—
762#539—796no—
763#539—796no—
764#538—796no—
765#538—796no—
766#538—7912no—
767#537—793no—
768#537—793no—
769#536—793no—
770#536C2×D7913yescomplemented
771#535—793no—
772#535C2×D7913yescomplemented
773#533—796no—
774#533—796no—
775#533—793no—
776#532—796no—
777#532—796no—
778#532C2×D7913yescomplemented
779C2×C4⋊Q8—793no—
780#529—796no—
781#529—796no—
782#529—7912no—
783#529—796no—
784#529—796no—
785#529—796no—
786#529—796no—
787#529—796no—
788#529—796no—
789C2×#126—796no—
790C2×#124—796no—
791C2×#124C2×D7913yescomplemented
792#525—793no—
793#525—793no—
794#525—7912no—
795C2×#123—796no—
796C2×C22⋊Q8—793no—
797C2×C22⋊Q8—796no—
798C2×#121—793no—
799#520—791no—
800#520—793no—
801#520—792no—
802#520—791no—
803#520—793no—
804#520—796no—
805#520—791no—
806#520—791no—
807#520—793no—
808#520—793no—
809#519—793no—
810#519—792no—
811#519—791no—
812#519—791no—
813#518—793no—
814#518—796no—
815#518—793no—
816#518—793no—
817C4×#41—791no—
818C4×#41—793no—
819C4×#41—792no—
820C4×#41—793no—
821C4×#41—796no—
822C4×#41—793no—
823C4×#41—793no—
824C4×#41C2×D7911yescharacteristic
825C2×C4×Q8—793no—
826C2×C4×Q8—792no—
827C2×C4×D4—793no—
828C2×C4×D4—796no—
829C2×#117—793no—
830C2×#117—793no—
8312−1+4—28no—
832H(5,𝔽2)—28no—
833C2×#41—791no—
834C2×#41—7912no—
835C2×#41—793no—
836C2×#41—793no—
837C2×#41—1588no—
838C2×#41C22×D7913yes—
839C2×#41C22×D7913yes—
840C2×#41C22×D7916yes—
841C2×#41C22×D7912yes—
842C2×#41C22×D7911yescharacteristic
843C22×Q8—791no—
844C22×Q8—796no—
845C22×Q8C22×D7913yes—
846C22×Q8C22×D7912yes—
847C22×D4—796no—
848C22×D4—793no—
849C22×D4C22×D7913yes—
850C22×D4C22×D7916yes—
851C23×C4—796no—
852C23×C4—793no—
853C4⋊Q8—796no—
854C4⋊Q8—796no—
855C4⋊Q8—796no—
856C4⋊Q8—793no—
857C4⋊Q8—796no—
858C4⋊Q8—796no—
859C4⋊Q8—796no—
860C4⋊Q8—791no—
861C4⋊Q8C22×D7913yes—
862#127—796no—
863#127C22×D7913yes—
864#126—796no—
865#126—796no—
866#126—796no—
867#126—796no—
868#126—796no—
869#126—7912no—
870#126—7912no—
871#126—7912no—
872#126—792no—
873#126—7912no—
874#126—7912no—
875#126—796no—
876#126—796no—
877#125—796no—
878#125—796no—
879#125—796no—
880#125—796no—
881#125—796no—
882#125—796no—
883#125—7912no—
884#125—793no—
885#125—793no—
886#124—796no—
887#124—796no—
888#124—7912no—
889#124—796no—
890#124—7912no—
891#124—7912no—
892#124—7912no—
893#124—792no—
894#124—796no—
895#124—796no—
896#124C22×D7913yes—
897#124C22×D7916yes—
898#124C22×D7916yes—
899#124C22×D7916yes—
900#124C22×D7911yescharacteristic
901#123—796no—
902#123—796no—
903#123—796no—
904#123—796no—
905#123—796no—
906#123—796no—
907#123—7912no—
908#123—796no—
909#123—7912no—
910#123—7912no—
911#123—7912no—
912#123—792no—
913#123—7912no—
914#123—796no—
915#123—796no—
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—7912no—
930C22⋊Q8—796no—
931C22⋊Q8—7912no—
932C22⋊Q8—7912no—
933C22⋊Q8—7912no—
934C22⋊Q8—7912no—
935C22⋊Q8—792no—
936C22⋊Q8—796no—
937C22⋊Q8—796no—
938C22⋊Q8—7912no—
939C22⋊Q8C22×D7916yes—
940C22⋊Q8C22×D7916yes—
941#121—793no—
942#121—796no—
943#121—796no—
944#121—796no—
945#121—791no—
946#121—796no—
947#121—793no—
948#121—793no—
949#121—7912no—
950#121—796no—
951#121—7912no—
952#121—796no—
953#121—796no—
954#121—7912no—
955#121—796no—
956#121—796no—
957#121C22×D7916yes—
958#121C22×D7916yes—
959#121C22×D7916yes—
960#121C22×D7916yes—
961#120—7912no—
962#120—796no—
963#120—796no—
964#120C22×D79112yes—
965C4×Q8—791no—
966C4×Q8—793no—
967C4×Q8—796no—
968C4×Q8—796no—
969C4×Q8—796no—
970C4×Q8—792no—
971C4×Q8—796no—
972C4×Q8—791no—
973C4×Q8—791no—
974C4×Q8—793no—
975C4×Q8—796no—
976C4×Q8—793no—
977C4×Q8—792no—
978C4×Q8—793no—
979C4×Q8—793no—
980C4×Q8—7912no—
981C4×Q8—793no—
982C4×Q8—793no—
983C4×Q8—796no—
984C4×Q8—796no—
985C4×Q8C22×D7911yescharacteristic
986C4×Q8C22×D7911yescharacteristic
987C4×D4—793no—
988C4×D4—796no—
989C4×D4—793no—
990C4×D4—796no—
991C4×D4—796no—
992C4×D4—796no—
993C4×D4—796no—
994C4×D4—796no—
995C4×D4—7912no—
996C4×D4—793no—
997C4×D4—796no—
998C4×D4—791no—
999C4×D4—796no—
1000C4×D4—793no—
1001C4×D4—796no—
1002C4×D4—796no—
1003C4×D4—793no—
1004C4×D4—796no—
1005C4×D4—7912no—
1006C4×D4—7912no—
1007C4×D4—796no—
1008C4×D4—796no—
1009C4×D4—796no—
1010C4×D4—796no—
1011C4×D4—796no—
1012C4×D4—796no—
1013C4×D4—793no—
1014C4×D4—793no—
1015C4×D4—796no—
1016C4×D4—796no—
1017C4×D4—7912no—
1018C4×D4—7912no—
1019C4×D4—793no—
1020C4×D4—793no—
1021C4×D4C22×D7913yes—
1022C4×D4C22×D7913yes—
1023C4×D4C22×D7916yes—
1024C4×D4C22×D7916yes—
1025#117—793no—
1026#117—793no—
1027#117—796no—
1028#117—796no—
1029#117—793no—
1030#117—796no—
1031#117—7912no—
1032#117—796no—
1033#117—793no—
1034#117—793no—
1035#117—7912no—
1036#117—796no—
1037#117—7912no—
1038#117—7912no—
1039#117—793no—
1040#117—791no—
1041#117—793no—
1042#117—793no—
1043#117—793no—
1044#117—793no—
1045#117—793no—
1046#117—793no—
1047#117C22×D7913yes—
1048C2×C4⋊C4—793no—
1049C2×C4⋊C4—793no—
1050C2×C4⋊C4—793no—
1051C2×C4⋊C4—796no—
1052C2×C4⋊C4—793no—
1053C2×C4⋊C4—796no—
1054C2×C4⋊C4—796no—
1055C2×C4⋊C4—796no—
1056C2×C4⋊C4—796no—
1057C2×C4⋊C4—793no—
1058C2×C4⋊C4—793no—
1059C2×C22⋊C4—796no—
1060C2×C22⋊C4—7912no—
1061C2×C22⋊C4—796no—
1062C2×C22⋊C4—793no—
1063C2×C22⋊C4—793no—
1064C2×C22⋊C4—796no—
1065C2×C22⋊C4—796no—
1066C2×C22⋊C4C22×D7916yes—
1067C2×C22⋊C4C22×D7916yes—
1068C2×C42—793no—
1069C2×C42—796no—
1070C2×C42—796no—
1071C2×C42—796no—
1072C2×C42—796no—
1073C2×C42C22×D7913yes—
1074C24—793no—
1075C24C23×D7916yes—
1076#41—28no—
1077#41—224no—
1078#41—212no—
1079#41—212no—
1080#41—63212no—
1081#41—1584no—
1082#41—15812no—
1083#41—15812no—
1084#41#1192962318yescomplemented
1085C2×Q8—28no—
1086C2×Q8—212no—
1087C2×Q8—792no—
1088C2×Q8—796no—
1089C2×Q8—7912no—
1090C2×Q8—793no—
1091C2×Q8—6326no—
1092C2×Q8—1584no—
1093C2×Q8C23×D7913yes—
1094C2×Q8C23×D7911yescharacteristic
1095C2×Q8C23×D7916yes—
1096C2×Q8C23×D7911yescharacteristic
1097C2×D4—224no—
1098C2×D4—212no—
1099C2×D4—792no—
1100C2×D4—796no—
1101C2×D4—796no—
1102C2×D4—796no—
1103C2×D4—7912no—
1104C2×D4—796no—
1105C2×D4—793no—
1106C2×D4—6326no—
1107C2×D4—15812no—
1108C2×D4C23×D7916yes—
1109C2×D4C23×D7916yes—
1110C2×D4C23×D7913yes—
1111C2×D4C23×D7911yescharacteristic
1112C2×D4C23×D7916yes—
1113C2×D4C23×D7916yes—
1114C2×D4C23×D7916yes—
1115C2×D4C23×D7913yes—
1116C22×C4—793no—
1117C22×C4—792no—
1118C22×C4—796no—
1119C22×C4—793no—
1120C22×C4—796no—
1121C22×C4—796no—
1122C22×C4—796no—
1123C22×C4—796no—
1124C22×C4—7912no—
1125C22×C4—796no—
1126C22×C4—796no—
1127C22×C4—793no—
1128C22×C4—793no—
1129C22×C4—793no—
1130C22×C4—793no—
1131C22×C4—791no—
1132C22×C4—6326no—
1133C22×C4—15812no—
1134C22×C4C23×D7916yes—
1135C22×C4C23×D7916yes—
1136C22×C4C23×D7916yes—
1137C22×C4C23×D7913yes—
1138C22×C4C23×D7913yes—
1139C22×C4C23×D7913yes—
1140C4⋊C4—791no—
1141C4⋊C4—793no—
1142C4⋊C4—791no—
1143C4⋊C4—793no—
1144C4⋊C4—796no—
1145C4⋊C4—793no—
1146C4⋊C4—793no—
1147C4⋊C4—793no—
1148C4⋊C4—793no—
1149C4⋊C4—7912no—
1150C4⋊C4—796no—
1151C4⋊C4—796no—
1152C4⋊C4—796no—
1153C4⋊C4—792no—
1154C4⋊C4—796no—
1155C4⋊C4—796no—
1156C4⋊C4—796no—
1157C4⋊C4—793no—
1158C4⋊C4—796no—
1159C4⋊C4—793no—
1160C4⋊C4—796no—
1161C4⋊C4—796no—
1162C4⋊C4—793no—
1163C4⋊C4—796no—
1164C4⋊C4—7912no—
1165C4⋊C4—796no—
1166C4⋊C4—793no—
1167C4⋊C4—7912no—
1168C4⋊C4—791no—
1169C4⋊C4—792no—
1170C4⋊C4—791no—
1171C4⋊C4—796no—
1172C4⋊C4—792no—
1173C4⋊C4C23×D7913yes—
1174C4⋊C4C23×D7913yes—
1175C4⋊C4C23×D7916yes—
1176C4⋊C4C23×D7916yes—
1177C22⋊C4—796no—
1178C22⋊C4—796no—
1179C22⋊C4—796no—
1180C22⋊C4—7912no—
1181C22⋊C4—796no—
1182C22⋊C4—796no—
1183C22⋊C4—7912no—
1184C22⋊C4—796no—
1185C22⋊C4—792no—
1186C22⋊C4—796no—
1187C22⋊C4—796no—
1188C22⋊C4—796no—
1189C22⋊C4—792no—
1190C22⋊C4—793no—
1191C22⋊C4—793no—
1192C22⋊C4—791no—
1193C22⋊C4—791no—
1194C22⋊C4—796no—
1195C22⋊C4—793no—
1196C22⋊C4—793no—
1197C22⋊C4—793no—
1198C22⋊C4—793no—
1199C22⋊C4—7912no—
1200C22⋊C4—796no—
1201C22⋊C4—792no—
1202C22⋊C4—796no—
1203C22⋊C4C23×D7916yes—
1204C22⋊C4C23×D7916yes—
1205C22⋊C4C23×D7916yes—
1206C22⋊C4C23×D79112yes—
1207C22⋊C4C23×D79112yes—
1208C22⋊C4C23×D7912yes—
1209C22⋊C4C23×D7912yes—
1210C42—793no—
1211C42—793no—
1212C42—793no—
1213C42—791no—
1214C42—792no—
1215C42—796no—
1216C42—796no—
1217C42—796no—
1218C42—796no—
1219C42—796no—
1220C42—7912no—
1221C42—796no—
1222C42—796no—
1223C42C23×D7913yes—
1224C42C23×D7911yescharacteristic
1225C42C23×D7913yes—
1226C42C23×D7913yes—
1227C23—212no—
1228C23—46no—
1229C23—46no—
1230C23—3163no—
1231C23—3163no—
1232C23—791no—
1233C23—793no—
1234C23—1586no—
1235C23C24×D7916yes—
1236C23C24×D7912yes—
1237C23C24×D7913yes—
1238Q8—212no—
1239Q8—26no—
1240Q8—22no—
1241Q8—3166no—
1242Q8—31612no—
1243Q8—3162no—
1244Q8—1586no—
1245Q8C2×#1192962314yes—
1246D4—212no—
1247D4—212no—
1248D4—212no—
1249D4—26no—
1250D4—22no—
1251D4—46no—
1252D4—46no—
1253D4—3162no—
1254D4—3166no—
1255D4—3166no—
1256D4—31612no—
1257D4—3166no—
1258D4—15812no—
1259D4—1586no—
1260D4C2×#11929623112yes—
1261C2×C4—212no—
1262C2×C4—212no—
1263C2×C4—212no—
1264C2×C4—43no—
1265C2×C4—43no—
1266C2×C4—3166no—
1267C2×C4—3166no—
1268C2×C4—3163no—
1269C2×C4—3166no—
1270C2×C4—3166no—
1271C2×C4—31612no—
1272C2×C4—3166no—
1273C2×C4—3166no—
1274C2×C4—3163no—
1275C2×C4—3166no—
1276C2×C4—3162no—
1277C2×C4—791no—
1278C2×C4—793no—
1279C2×C4—792no—
1280C2×C4—791no—
1281C2×C4—793no—
1282C2×C4—792no—
1283C2×C4—793no—
1284C2×C4—796no—
1285C2×C4—796no—
1286C2×C4—791no—
1287C2×C4—1586no—
1288C2×C4—1582no—
1289C2×C4—1586no—
1290C2×C4—1586no—
1291C2×C4—1586no—
1292C2×C4C2×#11929623112yes—
1293C2×C4C24×D7916yes—
1294C2×C4C24×D7912yes—
1295C2×C4C24×D7913yes—
1296C2×C4C24×D7913yes—
1297C2×C4C24×D7911yescharacteristic
1298C2×C4C24×D7911yescharacteristic
1299C2×C4C24×D7913yes—
1300C2×C4C24×D7911yescharacteristic
1301C22—23no—
1302C22—23no—
1303C22—22no—
1304C22—26no—
1305C22—22no—
1306C22—26no—
1307C22—22no—
1308C22—26no—
1309C22—812no—
1310C22—6326no—
1311C22—1581no—
1312C22—1583no—
1313C22—1583no—
1314C22—1581no—
1315C22—1583no—
1316C22—1581no—
1317C22C22×#1192962316yes—
1318C22C25×D7911yescharacteristic
1319C4—22no—
1320C4—26no—
1321C4—21no—
1322C4—23no—
1323C4—21no—
1324C4—23no—
1325C4—1581no—
1326C4—1583no—
1327C4—1583no—
1328C4—1581no—
1329C4—1586no—
1330C4—1586no—
1331C4—1583no—
1332C4—1581no—
1333C4—1582no—
1334C4—1582no—
1335C4C22×#1192962316yes—
1336C4C22×#1192962312yes—
1337C2—26no—
1338C2—46no—
1339C2—42no—
1340C2—3161no—
1341C2—3163no—
1342C2C23×#1192962311yescharacteristic
1343C2#2377821111yescharacteristic
1344C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3500C2
hypercenter#3500D79
hypocenterC79#62857
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. #23777510C2semidirect
2. #23777476C2semidirect
3. #23777453C2semidirect
4. #23777436C2semidirect
5. #23777408C2semidirect
6. #23777382C2semidirect
7. #23777348C2semidirect
8. #23777341C2semidirect
9. #23777307C2semidirect
10. #23777294C2semidirect
11. #23777219C2semidirect
12. #23777149C2semidirect
13. #23777132C2semidirect
14. #23777073C2semidirect
15. #23777062C2semidirect
16. #23776824C2semidirect
17. #23776813C2semidirect
18. #23776789C2semidirect
19. C2×#19099182C2semidirect
20. 2−1+4×Dic79C2semidirect
21. H(5,𝔽2)×Dic79C2semidirect
22. #23776599C2semidirect
23. C79×#3500C2semidirect
25. #19099295C22semidirect
26. #19099295C22semidirect
27. Q8×Dic158C22semidirect
28. #19099292C22semidirect
29. #19099284C22semidirect
30. #19099283C22semidirect
31. #19099282C22semidirect
32. #19099282C22semidirect
33. #19099278C22semidirect
34. #19099277C22semidirect
35. #19099271C22semidirect
36. #19099270C22semidirect
37. #19099270C22semidirect
38. #19099265C22semidirect
39. #19099265C22semidirect
40. #19099260C22semidirect
41. #19099255C22semidirect
42. #19099250C22semidirect
43. #19099247C22semidirect
44. #19099244C22semidirect
45. #19099239C22semidirect
46. #19099239C22semidirect
47. #19099236C22semidirect
49. D4×Dic158C22semidirect
50. Q8×C22⋊D79C22semidirect
51. #19099224C22semidirect
53. #19099219C22semidirect
54. #19099217C22semidirect
55. #19099213C22semidirect
56. #19099212C22semidirect
58. #19099201C22semidirect
59. #19099200C22semidirect
61. #19099191C22semidirect
62. #19099191C22semidirect
63. #19099186C22semidirect
64. #19099182C22semidirect
65. #19099182C22semidirect
66. #19099182C22semidirect
67. #19099182C22semidirect
68. #19099182C22semidirect
69. #19099182C22semidirect
70. #19099182C22semidirect
71. #19099182C22semidirect
72. #19099182C22semidirect
73. #19099182C22semidirect
74. #19099182C22semidirect
75. #19099180C22semidirect
76. #19099174C22semidirect
77. #19099174C22semidirect
78. #19099173C22semidirect
79. #19099167C22semidirect
80. #19099167C22semidirect
81. #19099166C22semidirect
82. #19099158C22semidirect
83. #19099158C22semidirect
84. #19099157C22semidirect
85. #19099150C22semidirect
86. #19099150C22semidirect
87. #19099148C22semidirect
89. #19099141C22semidirect
90. #19099137C22semidirect
92. #19099120C22semidirect
93. #19099118C22semidirect
94. #19099115C22semidirect
95. #19099111C22semidirect
96. #19099108C22semidirect
97. C2×#14579161C22semidirect
98. #19099099C22semidirect
99. #19099094C22semidirect
100. #19099093C22semidirect
101. #19099093C22semidirect
102. #19099093C22semidirect
103. #19099093C22semidirect
104. #19099092C22semidirect
105. #19099092C22semidirect
106. #19099090C22semidirect
107. C2×#14579154C22semidirect
108. C2×#14579147C22semidirect
110. #19099070C22semidirect
111. #19099069C22semidirect
112. C2×#14579145C22semidirect
113. C2×#14579138C22semidirect
114. C2×#14579137C22semidirect
118. #19099046C22semidirect
119. #19099046C22semidirect
120. #19099046C22semidirect
121. #19099046C22semidirect
122. #19099045C22semidirect
123. #19099045C22semidirect
124. #19099042C22semidirect
125. #19099042C22semidirect
126. #19099041C22semidirect
127. #19099041C22semidirect
128. #19099039C22semidirect
129. #19099039C22semidirect
130. #19099038C22semidirect
131. #19099038C22semidirect
132. #19099035C22semidirect
133. #19099035C22semidirect
135. #41×Dic79C22semidirect
136. #41×Dic79C22semidirect
137. #41×Dic79C22semidirect
138. #41×Dic79C22semidirect
139. C4×#11929624C22semidirect
140. #19099031C22semidirect
141. C2×Q8×Dic79C22semidirect
142. C2×Q8×Dic79C22semidirect
143. C2×D4×Dic79C22semidirect
144. C2×D4×Dic79C22semidirect
145. C2×#14579118C22semidirect
146. #117×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
516. #41×C79#41semidirect
684. #3500D79semidirect
696. C79#62857semidirect
729. #548C2×D79semidirect
730. #548C2×D79semidirect
737. #546C2×D79semidirect
738. #546C2×D79semidirect
770. #536C2×D79semidirect
772. #535C2×D79semidirect
778. #532C2×D79semidirect
791. C2×#124C2×D79semidirect
1084. #41#11929623semidirect

Maximal subgroups

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

subgroupindex
#237775102
#237774762
#237774532
#237774362
#237774082
#237773822
#237773482
#237773412
#237773072
#237772942
#237772192
#237771492
#237771322
#237770732
#237770622
#237768242
#237768132
#237767892
C2×#190991822
2−1+4×Dic792
H(5,𝔽2)×Dic792
#237765992
C79×#35002
#6285779