Finite Group Databasebeta

← #35197460

Subgroups — #35197460

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#23777510C212yesmaximal, complemented
2#23777502C212yesmaximal, complemented
3#23777423C216yesmaximal, complemented
4#23777419C216yesmaximal, complemented
5#23777401C212yesmaximal, complemented
6#23777397C212yesmaximal, complemented
7#23777341C216yesmaximal, complemented
8#23777329C216yesmaximal, complemented
9#23777321C213yesmaximal, complemented
10#23777275C213yesmaximal, complemented
11#23777222C211yesmaximal, characteristic, complemented
12#23777174C211yesmaximal, characteristic, complemented
13#23777137C213yesmaximal, complemented
14#23777129C213yesmaximal, complemented
15#23777069C211yesmaximal, characteristic, complemented
16#23776817C213yesmaximal, complemented
17#23776813C213yesmaximal, complemented
18#23776788C213yesmaximal, complemented
19C2×#19099166C213yesmaximal, complemented
20H(5,𝔽2)×Dic79C211yesmaximal, characteristic, complemented
21#23776606C211yesmaximal, characteristic, complemented
22#23776603C211yesmaximal, characteristic, complemented
23C79×#3488C211yesmaximal, characteristic, complemented
24C2×#14579207C2211yescharacteristic
25#19099295C2216yescomplemented
26#19099295C2216yescomplemented
27#19099292C2212yescomplemented
28#19099289C2212yescomplemented
29#19099278C2216yescomplemented
30#19099277C2216yescomplemented
31#19099272C2216yescomplemented
32#19099270C2216yescomplemented
33#19099265C22112yescomplemented
34#19099265C2216yescomplemented
35#19099265C2216yescomplemented
36#19099260C2216yescomplemented
37#19099260C2216yescomplemented
38#19099259C2216yescomplemented
39#19099259C2216yescomplemented
40#19099256C22112yescomplemented
41#19099255C2216yescomplemented
42#19099247C2216yescomplemented
43#19099239C22112yescomplemented
44#19099236C22112yescomplemented
45#19099233C2216yescomplemented
46#19099233C2216yescomplemented
47#19099232C2212yescomplemented
48#19099232C2212yescomplemented
49#19099232C2212yescomplemented
50#19099224C2212yescomplemented
51#19099217C2216yescomplemented
52#19099213C2216yescomplemented
53#19099207C22112yescomplemented
54#19099201C2216yescomplemented
55#19099200C22112yescomplemented
56#19099200C22112yescomplemented
57#19099200C22112yescomplemented
58D4×C22⋊D79C2216yescomplemented
59D4×C22⋊D79C2216yescomplemented
60D4×C22⋊D79C2216yescomplemented
61#19099194C2213yescomplemented
62#19099191C2213yescomplemented
63#19099186C2213yescomplemented
64#19099186C2213yescomplemented
65#19099186C2216yescomplemented
66#19099182C2216yescomplemented
67#19099180C2213yescomplemented
68#19099180C2213yescomplemented
69#19099173C2211yescharacteristic, complemented
70#19099173C2213yescomplemented
71#19099167C2216yescomplemented
72#19099166C2213yescomplemented
73#19099166C2213yescomplemented
74#19099166C2216yescomplemented
75#19099166C2216yescomplemented
76#19099166C2216yescomplemented
77#19099166C2216yescomplemented
78#19099166C2216yescomplemented
79#19099166C2216yescomplemented
80#19099166C2216yescomplemented
81#19099166C2216yescomplemented
82#19099157C2216yescomplemented
83#19099157C2216yescomplemented
84#19099150C22112yescomplemented
85#19099148C2216yescomplemented
86#19099148C2216yescomplemented
87#19099148C22112yescomplemented
88#19099141C2213yescomplemented
89#19099130C2213yescomplemented
90#19099127C2213yescomplemented
91#19099127C2213yescomplemented
92#19099116C2213yescomplemented
93#19099111C2216yescomplemented
94#19099109C2213yescomplemented
95#19099108C2216yescomplemented
96#19099108C2216yescomplemented
97#19099108C2216yescomplemented
98C2×#14579157C2213yescomplemented
99#19099099C2216yescomplemented
100#19099099C2216yescomplemented
101#19099095C2216yescomplemented
102#19099095C2216yescomplemented
103#19099094C2216yescomplemented
104#19099093C2216yescomplemented
105#19099093C2216yescomplemented
106#19099092C2216yescomplemented
107C2×#14579152C2213yescomplemented
108#19099074C2213yescomplemented
109#19099073C22112yescomplemented
110#19099069C22112yescomplemented
111C2×#14579145C2216yescomplemented
112C2×#14579143C2216yescomplemented
113C2×#14579135C2213yescomplemented
114C2×#14579133C2216yescomplemented
115C2×#14579132C2216yescomplemented
116#19099046C2211yescharacteristic
117#19099046C2213yescomplemented
118#19099046C2213yescomplemented
119#19099046C2213yescomplemented
120#19099046C2211yescharacteristic, complemented
121#19099046C2211yescharacteristic, complemented
122#19099046C2212yescomplemented
123#19099045C2212yescomplemented
124#19099044C2213yescomplemented
125#19099041C2211yescharacteristic, complemented
126#19099041C2211yescharacteristic, complemented
127#19099038C2216yescomplemented
128#19099038C2213yescomplemented
129#19099038C2213yescomplemented
130#19099038C2213yescomplemented
131#19099037C2213yescomplemented
132#19099035C2216yescomplemented
133#41×Dic79C2211yescharacteristic
134#41×Dic79C2211yescharacteristic
135#41×Dic79C2213yescomplemented
136#41×Dic79C2213yescomplemented
137#41×Dic79C2213yescomplemented
138#41×Dic79C2212yescomplemented
139C4×#11929625C2212yescomplemented
140#19099031C2213yescomplemented
141C2×D4×Dic79C2213yescomplemented
142C2×D4×Dic79C2216yescomplemented
143C2×#14579123C2213yescomplemented
144C4×D4×D79C2216yescomplemented
145C2×#14579120C2213yescomplemented
146C2×#14579120C2213yescomplemented
147C2×H(5,𝔽2)×C79C2211yescharacteristic
148C22×#41×C79C2211yescharacteristic
149#550×C79C2212yescomplemented
150#548×C79C2212yescomplemented
151#546×C79C2216yescomplemented
152D42×C79C2216yescomplemented
153#537×C79C2213yescomplemented
154#535×C79C2213yescomplemented
155#525×C79C2213yescomplemented
156C2×#121×C79C2213yescomplemented
157#520×C79C2211yescharacteristic
158#14579207—28no—
159C2×#11929625C2312yes—
160C2×#11929624C2313yes—
161C2×#11929623C23112yes—
162C2×#11929623C23112yes—
163C22×D316C2313yes—
164C22×C22⋊D79C2316yes—
165C22×C22⋊D79C2316yes—
166C22×C22⋊D79C2316yes—
167C2×D4×D79C2316yes—
168C23×Dic79C2316yes—
169C22×C4×D79C2316yes—
170#14579161C2316yes—
171#14579160C2313yes—
172#14579160C2313yes—
173#14579160C2316yes—
174#14579159C2311yescharacteristic
175#14579157C2313yes—
176#14579157C2316yes—
177#14579157C2316yes—
178#14579157C2316yes—
179#14579157C2316yes—
180#14579156C2316yes—
181#14579156C23112yes—
182#14579156C2316yes—
183#14579154C2312yes—
184#14579154C2312yes—
185#14579154C2316yes—
186#14579154C2316yes—
187#14579154C2316yes—
188#14579154C23112yes—
189#14579154C2316yes—
190#14579153C2316yes—
191#14579152C2312yes—
192#14579152C2316yes—
193#14579152C2313yes—
194#14579152C2311yescharacteristic
195#14579152C2316yes—
196#14579152C2316yes—
197#14579152C2316yes—
198#14579152C2316yes—
199#14579151C2312yes—
200#14579151C2316yes—
201#14579150C2313yes—
202#14579150C2316yes—
203#14579148C2316yes—
204#14579148C2316yes—
205#14579148C2313yes—
206#14579147C2316yes—
207#14579147C23112yes—
208#14579147C2316yes—
209#14579147C23112yes—
210#14579145C23112yes—
211#14579145C23112yes—
212#14579145C2316yes—
213#14579145C2316yes—
214#14579145C23112yes—
215#14579145C23112yes—
216#14579144C2316yes—
217#14579143C23112yes—
218#14579143C2316yes—
219#14579143C2316yes—
220#14579143C2316yes—
221#14579143C2316yes—
222#14579143C23112yes—
223#14579143C23112yes—
224#14579142C2316yes—
225#14579142C23112yes—
226#14579142C2316yes—
227#14579141C2316yes—
228#14579141C2316yes—
229#14579140C2313yes—
230#14579140C23112yes—
231#14579140C2311yescharacteristic
232#14579138C2316yes—
233#14579138C2316yes—
234#14579138C23112yes—
235#14579138C2316yes—
236#14579138C2316yes—
237#14579137C2316yes—
238#14579135C2316yes—
239#14579135C2313yes—
240#14579135C2316yes—
241#14579135C2316yes—
242#14579135C2313yes—
243#14579135C2316yes—
244#14579135C2316yes—
245#14579133C23112yes—
246#14579133C2316yes—
247#14579133C2316yes—
248#14579133C2316yes—
249#14579133C2316yes—
250#14579133C23112yes—
251#14579133C23112yes—
252#14579133C23112yes—
253#14579133C23112yes—
254#14579133C23112yes—
255#14579132C2316yes—
256#14579132C2316yes—
257#14579132C23112yes—
258#14579132C2316yes—
259#14579132C23112yes—
260#14579132C23112yes—
261#14579132C2316yes—
262#14579132C2316yes—
263#14579130C2316yes—
264#14579130C23112yes—
265#14579129C23112yes—
266#14579129C23112yes—
267Q8×Dic79C2311yescharacteristic
268Q8×Dic79C2313yes—
269Q8×Dic79C2313yes—
270Q8×Dic79C2313yes—
271Q8×Dic79C2312yes—
272Q8×Dic79C2311yescharacteristic
273Q8×Dic79C2311yescharacteristic
274Q8×Dic79C2313yes—
275Q8×Dic79C2313yes—
276Q8×Dic79C2311yescharacteristic
277Q8×Dic79C2311yescharacteristic
278C4×Dic158C2316yes—
279C4×Dic158C2316yes—
280#14579126C2311yescharacteristic
281#14579126C2313yes—
282C4×D316C2316yes—
283C4×D316C2316yes—
284D4×Dic79C2316yes—
285D4×Dic79C2316yes—
286D4×Dic79C2316yes—
287D4×Dic79C2316yes—
288D4×Dic79C2313yes—
289D4×Dic79C2316yes—
290D4×Dic79C2316yes—
291D4×Dic79C2316yes—
292D4×Dic79C2313yes—
293D4×Dic79C2313yes—
294D4×Dic79C2313yes—
295D4×Dic79C2313yes—
296D4×Dic79C2313yes—
297D4×Dic79C2316yes—
298D4×Dic79C2316yes—
299D4×Dic79C2316yes—
300D4×Dic79C23112yes—
301D4×Dic79C23112yes—
302D4×Dic79C2316yes—
303D4×Dic79C2313yes—
304D4×Dic79C2313yes—
305D4×Dic79C2316yes—
306D4×Dic79C2313yes—
307D4×Dic79C2313yes—
308#14579123C2316yes—
309#14579123C2313yes—
310#14579123C2316yes—
311#14579123C2316yes—
312#14579123C2313yes—
313C4×C22⋊D79C2316yes—
314C4×C22⋊D79C2316yes—
315C4×C22⋊D79C2316yes—
316C4×C22⋊D79C2316yes—
317C4×C22⋊D79C23112yes—
318(C22⋊D79)⋊C4C2316yes—
319(C22⋊D79)⋊C4C2316yes—
320(C22⋊D79)⋊C4C23112yes—
321(C22⋊D79)⋊C4C23112yes—
322(C22⋊D79)⋊C4C23112yes—
323#14579120C2311yescharacteristic
324#14579120C2313yes—
325#14579120C2313yes—
326#14579120C2313yes—
327#14579120C2313yes—
328#14579120C2313yes—
329#14579120C2313yes—
330#14579120C2313yes—
331#14579120C2316yes—
332#14579120C2313yes—
333#14579120C2313yes—
334#14579120C2316yes—
335#14579120C2316yes—
336#14579120C2313yes—
337#14579120C2313yes—
338#14579120C2313yes—
339#14579119C23112yes—
340#14579119C2316yes—
341#14579118C2316yes—
342#14579117C23112yes—
343C2×C4⋊Dic79C2313yes—
344C2×C4⋊Dic79C2313yes—
345C2×C4⋊Dic79C2313yes—
346C2×C4⋊Dic79C2313yes—
347C2×C4⋊Dic79C2313yes—
348C2×C4⋊Dic79C2316yes—
349C2×C4⋊Dic79C2316yes—
350C2×Dic79⋊C4C2316yes—
351C4⋊C4×D79C2316yes—
352C2×C22⋊Dic79C2313yes—
353C2×C22⋊Dic79C2313yes—
354C2×C22⋊Dic79C2316yes—
355C2×C22⋊Dic79C2316yes—
356C2×C22⋊Dic79C23112yes—
357C2×(C2×D79)⋊C4C2316yes—
358C2×(C2×D79)⋊C4C2316yes—
359C22⋊C4×D79C23112yes—
360C2×C4×Dic79C2313yes—
361C2×C4×Dic79C2313yes—
362C2×C4×Dic79C2316yes—
363C2×C4×Dic79C2316yes—
364C42×D79C2316yes—
365H(5,𝔽2)×C79—28no—
366C2×#41×C79—28no—
367C2×#41×C79C2313yes—
368C2×#41×C79C2313yes—
369C2×#41×C79C2312yes—
370C2×#41×C79C2311yescharacteristic
371C2×#41×C79C2313yes—
372C2×#41×C79C2311yescharacteristic
373C22×Q8×C79C2311yescharacteristic
374C22×D4×C79C2313yes—
375C22×D4×C79C2316yes—
376C22×D4×C79C2313yes—
377C22×D4×C79C2316yes—
378C23×C4×C79C2313yes—
379#127×C79C2316yes—
380#124×C79C2316yes—
381#123×C79C2316yes—
382C22⋊Q8×C79C2311yescharacteristic
383C22⋊Q8×C79C2313yes—
384C22⋊Q8×C79C2316yes—
385#121×C79C23112yes—
386#121×C79C2313yes—
387#121×C79C2316yes—
388#121×C79C2316yes—
389#121×C79C2316yes—
390#121×C79C2313yes—
391#121×C79C2316yes—
392#120×C79C2316yes—
393#120×C79C23112yes—
394C4×Q8×C79C2312yes—
395C4×D4×C79C2316yes—
396C4×D4×C79C2316yes—
397C4×D4×C79C2316yes—
398#117×C79C2313yes—
399C2×C4⋊C4×C79C2313yes—
400C2×C22⋊C4×C79C2316yes—
401C23×D79C2416yes—
402#11929625—28no—
403#11929624—212no—
404#11929623—812no—
405#11929623—812no—
406C2×Dic158C2411yescharacteristic
407C2×Dic158C2416yes—
408C2×Dic158C2416yes—
409C2×D316—212no—
410C2×D316C2413yes—
411C2×D316C2416yes—
412C2×C22⋊D79—86no—
413C2×C22⋊D79—86no—
414C2×C22⋊D79—86no—
415C2×C22⋊D79C2416yes—
416C2×C22⋊D79C2416yes—
417C2×C22⋊D79C24112yes—
418C2×C22⋊D79C24112yes—
419C2×C22⋊D79C24112yes—
420C2×C22⋊D79C2416yes—
421C2×C22⋊D79C2416yes—
422C2×C22⋊D79C2416yes—
423D4×D79—224no—
424C22×Dic79—86no—
425C22×Dic79C2416yes—
426C22×Dic79C2416yes—
427C22×Dic79C2416yes—
428C22×Dic79C24112yes—
429C22×Dic79C2413yes—
430C22×Dic79C2413yes—
431C22×Dic79C2413yes—
432C22×Dic79C2413yes—
433C22×Dic79C2416yes—
434C22×Dic79C2416yes—
435C2×C4×D79—86no—
436C2×C4×D79C2416yes—
437C2×C4×D79C2416yes—
438C2×C4×D79C24112yes—
439C2×C4×D79C2416yes—
440C4⋊Dic79C2413yes—
441C4⋊Dic79C2413yes—
442C4⋊Dic79C2413yes—
443C4⋊Dic79C2413yes—
444C4⋊Dic79C2411yescharacteristic
445C4⋊Dic79C2411yescharacteristic
446C4⋊Dic79C2416yes—
447C4⋊Dic79C2413yes—
448C4⋊Dic79C2416yes—
449C4⋊Dic79C2416yes—
450C4⋊Dic79C24112yes—
451C4⋊Dic79C2413yes—
452C4⋊Dic79C2413yes—
453C4⋊Dic79C2413yes—
454C4⋊Dic79C2413yes—
455C4⋊Dic79C2413yes—
456C4⋊Dic79C2413yes—
457C4⋊Dic79C2411yescharacteristic
458C4⋊Dic79C2412yes—
459C4⋊Dic79C2412yes—
460Dic79⋊C4C2416yes—
461Dic79⋊C4C2416yes—
462Dic79⋊C4C24112yes—
463Dic79⋊C4C2416yes—
464Dic79⋊C4C2412yes—
465Dic79⋊C4C2416yes—
466Dic79⋊C4C2416yes—
467Dic79⋊C4C2412yes—
468Dic79⋊C4C2412yes—
469Dic79⋊C4C2412yes—
470Dic79⋊C4C2412yes—
471C22⋊Dic79C2416yes—
472C22⋊Dic79C2411yescharacteristic
473C22⋊Dic79C2413yes—
474C22⋊Dic79C2411yescharacteristic
475C22⋊Dic79C2413yes—
476C22⋊Dic79C2416yes—
477C22⋊Dic79C2416yes—
478C22⋊Dic79C24112yes—
479C22⋊Dic79C2416yes—
480C22⋊Dic79C2416yes—
481C22⋊Dic79C2413yes—
482C22⋊Dic79C2413yes—
483C22⋊Dic79C2413yes—
484C22⋊Dic79C2413yes—
485C22⋊Dic79C2416yes—
486C22⋊Dic79C2412yes—
487C22⋊Dic79C2416yes—
488C22⋊Dic79C2416yes—
489(C2×D79)⋊C4C2416yes—
490(C2×D79)⋊C4C24112yes—
491(C2×D79)⋊C4C2416yes—
492(C2×D79)⋊C4C2416yes—
493(C2×D79)⋊C4C24112yes—
494(C2×D79)⋊C4C2416yes—
495(C2×D79)⋊C4C2416yes—
496(C2×D79)⋊C4C2416yes—
497C4×Dic79C2412yes—
498C4×Dic79C2413yes—
499C4×Dic79C2416yes—
500C4×Dic79C2413yes—
501C4×Dic79C2411yescharacteristic
502C4×Dic79C2413yes—
503C4×Dic79C2413yes—
504C4×Dic79C2411yescharacteristic
505C4×Dic79C2412yes—
506C4×Dic79C2416yes—
507C4×Dic79C2416yes—
508C4×Dic79C2416yes—
509C4×Dic79C2416yes—
510C4×Dic79C2413yes—
511C4×Dic79C2413yes—
512C24×C79C2416yes—
513C24×C79C2413yes—
514#41×C79—24no—
515#41×C79—28no—
516#41×C79—212no—
517#41×C79—212no—
518#41×C79—212no—
519#41×C79#4118yescomplemented
520C2×Q8×C79—24no—
521C2×Q8×C79C2411yescharacteristic
522C2×Q8×C79C2413yes—
523C2×Q8×C79C2411yescharacteristic
524C2×D4×C79—212no—
525C2×D4×C79—224no—
526C2×D4×C79—212no—
527C2×D4×C79—86no—
528C2×D4×C79C2416yes—
529C2×D4×C79C2416yes—
530C2×D4×C79C2413yes—
531C2×D4×C79C2416yes—
532C2×D4×C79C2413yes—
533C2×D4×C79C2416yes—
534C2×D4×C79C24112yes—
535C2×D4×C79C2416yes—
536C2×D4×C79C2413yes—
537C22×C4×C79—212no—
538C22×C4×C79C2413yes—
539C22×C4×C79C2413yes—
540C22×C4×C79C2413yes—
541C22×C4×C79C2416yes—
542C22×C4×C79C2411yescharacteristic
543C22×C4×C79C2413yes—
544C22×C4×C79C2416yes—
545C22×C4×C79C2413yes—
546C4⋊C4×C79C2413yes—
547C4⋊C4×C79C2416yes—
548C4⋊C4×C79C2411yescharacteristic
549C4⋊C4×C79C2412yes—
550C4⋊C4×C79C2416yes—
551C22⋊C4×C79C2416yes—
552C22⋊C4×C79C24112yes—
553C22⋊C4×C79C2416yes—
554C22⋊C4×C79C2412yes—
555C22⋊C4×C79C2416yes—
556C22⋊C4×C79C2416yes—
557C42×C79C2416yes—
558C23×C79—26no—
559C23×C79—212no—
560C23×C79—46no—
561C23×C79—43no—
562C23×C79—46no—
563C23×C79—43no—
564C23×C79C2511yescharacteristic
565C23×C79C2516yes—
566C23×C79C2513yes—
567C23×C79C2513yes—
568C22×D79—212no—
569C22×D79—46no—
570C22×D79—46no—
571C22×D79C2516yes—
572Q8×C79—26no—
573Q8×C79—22no—
574Q8×C79C2×#4114yes—
575D4×C79—212no—
576D4×C79—212no—
577D4×C79—26no—
578D4×C79—212no—
579D4×C79—26no—
580D4×C79—46no—
581D4×C79—412no—
582D4×C79—46no—
583D4×C79C2×#41112yes—
584C2×C4×C79—26no—
585C2×C4×C79—22no—
586C2×C4×C79—26no—
587C2×C4×C79—26no—
588C2×C4×C79—26no—
589C2×C4×C79—212no—
590C2×C4×C79—46no—
591C2×C4×C79C2×#41112yes—
592C2×C4×C79C2513yes—
593C2×C4×C79C2512yes—
594C2×C4×C79C2516yes—
595C2×C4×C79C2512yes—
596C2×C4×C79C2511yescharacteristic
597C2×C4×C79C2511yescharacteristic
598C2×C4×C79C2513yes—
599C22⋊D79—212no—
600C22⋊D79—46no—
601C22⋊D79—46no—
602C22⋊D79—46no—
603C22⋊D79—412no—
604C22⋊D79—412no—
605C22⋊D79—412no—
606C22⋊D79—46no—
607C2×Dic79—43no—
608C2×Dic79—46no—
609C2×Dic79—43no—
610C2×Dic79—46no—
611C2×Dic79—412no—
612C2×Dic79—43no—
613C2×Dic79—43no—
614C2×Dic79—46no—
615C2×Dic79—46no—
616C2×Dic79—46no—
617C2×Dic79C2511yescharacteristic
618C2×Dic79C2513yes—
619C2×Dic79C2513yes—
620C2×Dic79C2511yescharacteristic
621C2×Dic79C2512yes—
622C2×Dic79C2513yes—
623C2×Dic79C2513yes—
624C2×Dic79C2512yes—
625C2×Dic79C2511yescharacteristic
626C2×Dic79C2511yescharacteristic
627C2×Dic79C2516yes—
628D316—212no—
629D316—26no—
630C4×D79—212no—
631C4×D79—46no—
632C4×D79—412no—
633C4×D79—46no—
634Dic158—22no—
635Dic158—46no—
636Dic158—46no—
637C22×C79—23no—
638C22×C79—23no—
639C22×C79—21no—
640C22×C79—23no—
641C22×C79—26no—
642C22×C79—21no—
643C22×C79—23no—
644C22×C79—26no—
645C22×C79—26no—
646C22×C79—23no—
647C22×C79—21no—
648C22×C79—86no—
649C22×C79—812no—
650C22×C79C22×#4116yes—
651C22×C79C2611yescharacteristic
652C2×D79—26no—
653C2×D79—26no—
654C2×D79—26no—
655C2×D79—812no—
656C4×C79—21no—
657C4×C79—22no—
658C4×C79—23no—
659C4×C79—26no—
660C4×C79—22no—
661C4×C79C22×#4112yes—
662C4×C79C22×#4116yes—
663Dic79—22no—
664Dic79—21no—
665Dic79—21no—
666Dic79—23no—
667Dic79—23no—
668Dic79—22no—
669Dic79—26no—
670Dic79—21no—
671Dic79—23no—
672Dic79—23no—
673Dic79—21no—
674#62858—791nomaximal, Sylow
675C2×C79—26no—
676C2×C79—43no—
677C2×C79—46no—
678C2×C79—41no—
679C2×C79C23×#4111yescharacteristic
680C2×C79H(7,𝔽2)11yescharacteristic
681C2×C79H(7,𝔽2)11yescharacteristic
682D79—46no—
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#3488D7911yescharacteristic, complemented
699#3460—793no—
700#3460—793no—
701#3455—793no—
702C2×#540—793no—
703C4×H(5,𝔽2)—791no—
704C4×H(5,𝔽2)—791no—
705#3428—791no—
706C79#6285811yescharacteristic, complemented, Sylow
707C2×H(5,𝔽2)—791no—
708C2×H(5,𝔽2)C2×D7911yescharacteristic
709C22×#41C2×D7911yescharacteristic
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—796no—
720#553—796no—
721#553—796no—
722#553—7912no—
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—796no—
734#550—796no—
735#550C2×D7912yescomplemented
736#548—792no—
737#548C2×D7912yescomplemented
738#547—796no—
739#547—796no—
740#546—796no—
741#546—7912no—
742#546—7912no—
743#546—7912no—
744#546—7912no—
745#546C2×D7916yescomplemented
746D42—796no—
747D42—796no—
748D42—796no—
749D42C2×D7916yescomplemented
750#544—793no—
751#544—793no—
752#542—796no—
753#542—793no—
754#542—793no—
755#542—796no—
756#542—793no—
757#542—793no—
758#541—791no—
759#541—793no—
760#540—796no—
761#540—793no—
762#540—796no—
763#540—796no—
764#540—796no—
765#540—796no—
766#540—796no—
767#540—796no—
768#540—796no—
769#540—793no—
770#540—796no—
771#539—796no—
772#539—796no—
773#538—7912no—
774#538—796no—
775#538—796no—
776#538—7912no—
777#537—793no—
778#537C2×D7913yescomplemented
779#535—793no—
780#535—793no—
781#535—793no—
782#535C2×D7913yescomplemented
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#525C2×D7913yescomplemented
803C2×#123—796no—
804C2×#123—796no—
805C2×#121—796no—
806C2×#121—796no—
807C2×#121—793no—
808C2×#121C2×D7913yescomplemented
809#520—793no—
810#520—793no—
811#520—791no—
812#520—791no—
813#520—791no—
814#520—793no—
815#520—792no—
816#520—792no—
817#520—793no—
818#520C2×D7911yescharacteristic
819#519—791no—
820#519—791no—
821#518—793no—
822#518—793no—
823#518—793no—
824#518—796no—
825#518—796no—
826#518—793no—
827C4×#41—791no—
828C4×#41—793no—
829C4×#41—791no—
830C4×#41—793no—
831C4×#41—793no—
832C4×#41—792no—
833C4×#41—792no—
834C4×#41—793no—
835C2×C4×D4—793no—
836C2×C4×D4—796no—
837C2×C4×D4—796no—
838C2×C4×D4—793no—
839C2×#117—793no—
840C2×#117—793no—
841H(5,𝔽2)—28no—
842H(5,𝔽2)—1588no—
843C2×#41—28no—
844C2×#41—792no—
845C2×#41—7912no—
846C2×#41—7912no—
847C2×#41—793no—
848C2×#41C22×D7913yes—
849C2×#41C22×D7913yes—
850C2×#41C22×D7912yes—
851C2×#41C22×D7913yes—
852C2×#41C22×D7911yescharacteristic
853C2×#41C22×D7911yescharacteristic
854C22×Q8C22×D7911yescharacteristic
855C22×D4—796no—
856C22×D4—796no—
857C22×D4—796no—
858C22×D4—796no—
859C22×D4—793no—
860C22×D4C22×D7913yes—
861C22×D4C22×D7916yes—
862C22×D4C22×D7913yes—
863C22×D4C22×D7916yes—
864C23×C4—796no—
865C23×C4—796no—
866C23×C4C22×D7913yes—
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#127C22×D7916yes—
878#126—796no—
879#126—7912no—
880#126—796no—
881#126—792no—
882#126—792no—
883#126—796no—
884#126—796no—
885#126—796no—
886#126—7912no—
887#126—796no—
888#125—793no—
889#125—796no—
890#125—796no—
891#125—796no—
892#125—792no—
893#125—792no—
894#125—796no—
895#125—796no—
896#125—796no—
897#125—791no—
898#125—796no—
899#124—793no—
900#124—796no—
901#124—793no—
902#124—796no—
903#124—796no—
904#124—796no—
905#124—796no—
906#124—7912no—
907#124—7912no—
908#124C22×D7916yes—
909#123—796no—
910#123—7912no—
911#123—796no—
912#123—796no—
913#123—796no—
914#123—796no—
915#123—7912no—
916#123—7912no—
917#123—7912no—
918#123—7912no—
919#123—7912no—
920#123—7912no—
921#123—796no—
922#123—7912no—
923#123—796no—
924#123—796no—
925#123—796no—
926#123C22×D7916yes—
927C22⋊Q8—796no—
928C22⋊Q8—791no—
929C22⋊Q8—793no—
930C22⋊Q8—7912no—
931C22⋊Q8—796no—
932C22⋊Q8—796no—
933C22⋊Q8—796no—
934C22⋊Q8—7912no—
935C22⋊Q8—796no—
936C22⋊Q8—796no—
937C22⋊Q8—796no—
938C22⋊Q8C22×D7911yescharacteristic
939C22⋊Q8C22×D7913yes—
940C22⋊Q8C22×D7916yes—
941#121—796no—
942#121—796no—
943#121—7912no—
944#121—7912no—
945#121—7912no—
946#121—7912no—
947#121—7912no—
948#121—7912no—
949#121—7912no—
950#121—796no—
951#121—796no—
952#121—796no—
953#121—796no—
954#121—796no—
955#121—796no—
956#121—796no—
957#121—7912no—
958#121—7912no—
959#121—793no—
960#121—796no—
961#121—796no—
962#121—796no—
963#121—793no—
964#121—796no—
965#121—796no—
966#121C22×D7913yes—
967#121C22×D7916yes—
968#121C22×D7916yes—
969#121C22×D7916yes—
970#121C22×D79112yes—
971#121C22×D7913yes—
972#121C22×D7916yes—
973#120—7912no—
974#120—796no—
975#120—7912no—
976#120—7912no—
977#120C22×D79112yes—
978#120C22×D7916yes—
979C4×Q8—791no—
980C4×Q8—791no—
981C4×Q8—791no—
982C4×Q8—793no—
983C4×Q8—793no—
984C4×Q8—791no—
985C4×Q8—791no—
986C4×Q8—793no—
987C4×Q8—793no—
988C4×Q8—793no—
989C4×Q8—792no—
990C4×Q8—791no—
991C4×Q8—793no—
992C4×Q8—796no—
993C4×Q8—796no—
994C4×Q8C22×D7912yes—
995C4×D4—793no—
996C4×D4—793no—
997C4×D4—796no—
998C4×D4—796no—
999C4×D4—793no—
1000C4×D4—796no—
1001C4×D4—796no—
1002C4×D4—796no—
1003C4×D4—7912no—
1004C4×D4—796no—
1005C4×D4—796no—
1006C4×D4—793no—
1007C4×D4—796no—
1008C4×D4—796no—
1009C4×D4—796no—
1010C4×D4—793no—
1011C4×D4—793no—
1012C4×D4—793no—
1013C4×D4—793no—
1014C4×D4—796no—
1015C4×D4—796no—
1016C4×D4—793no—
1017C4×D4—793no—
1018C4×D4—7912no—
1019C4×D4—7912no—
1020C4×D4—796no—
1021C4×D4—796no—
1022C4×D4—796no—
1023C4×D4—796no—
1024C4×D4—796no—
1025C4×D4—793no—
1026C4×D4—796no—
1027C4×D4—796no—
1028C4×D4—793no—
1029C4×D4—796no—
1030C4×D4—796no—
1031C4×D4—7912no—
1032C4×D4—7912no—
1033C4×D4—7912no—
1034C4×D4—796no—
1035C4×D4—796no—
1036C4×D4C22×D7916yes—
1037C4×D4C22×D7916yes—
1038C4×D4C22×D7916yes—
1039#117—791no—
1040#117—793no—
1041#117—793no—
1042#117—793no—
1043#117—793no—
1044#117—793no—
1045#117—793no—
1046#117—793no—
1047#117—793no—
1048#117—793no—
1049#117—793no—
1050#117—793no—
1051#117—796no—
1052#117—793no—
1053#117—796no—
1054#117—796no—
1055#117—796no—
1056#117—7912no—
1057#117—7912no—
1058#117—796no—
1059#117C22×D7913yes—
1060C2×C4⋊C4—793no—
1061C2×C4⋊C4—793no—
1062C2×C4⋊C4—793no—
1063C2×C4⋊C4—793no—
1064C2×C4⋊C4—793no—
1065C2×C4⋊C4—796no—
1066C2×C4⋊C4—796no—
1067C2×C4⋊C4—796no—
1068C2×C4⋊C4—796no—
1069C2×C4⋊C4C22×D7913yes—
1070C2×C22⋊C4—793no—
1071C2×C22⋊C4—793no—
1072C2×C22⋊C4—796no—
1073C2×C22⋊C4—796no—
1074C2×C22⋊C4—7912no—
1075C2×C22⋊C4—796no—
1076C2×C22⋊C4—796no—
1077C2×C22⋊C4—7912no—
1078C2×C22⋊C4C22×D7916yes—
1079C2×C42—793no—
1080C2×C42—793no—
1081C2×C42—796no—
1082C2×C42—796no—
1083C2×C42—796no—
1084C24—796no—
1085C24C23×D7913yes—
1086C24C23×D7916yes—
1087#41—24no—
1088#41—28no—
1089#41—212no—
1090#41—212no—
1091#41—212no—
1092#41—63212no—
1093#41—63212no—
1094#41—1588no—
1095#41—15812no—
1096#41#1192962318yescomplemented
1097C2×Q8—24no—
1098C2×Q8—796no—
1099C2×Q8—796no—
1100C2×Q8—791no—
1101C2×Q8C23×D7913yes—
1102C2×Q8C23×D7911yescharacteristic
1103C2×Q8C23×D7911yescharacteristic
1104C2×D4—212no—
1105C2×D4—224no—
1106C2×D4—212no—
1107C2×D4—86no—
1108C2×D4—796no—
1109C2×D4—7912no—
1110C2×D4—7912no—
1111C2×D4—796no—
1112C2×D4—7912no—
1113C2×D4—796no—
1114C2×D4—796no—
1115C2×D4—796no—
1116C2×D4—793no—
1117C2×D4—796no—
1118C2×D4—6326no—
1119C2×D4—6326no—
1120C2×D4—6326no—
1121C2×D4—15824no—
1122C2×D4—15812no—
1123C2×D4C23×D7916yes—
1124C2×D4C23×D7916yes—
1125C2×D4C23×D7916yes—
1126C2×D4C23×D7913yes—
1127C2×D4C23×D7913yes—
1128C2×D4C23×D79112yes—
1129C2×D4C23×D7916yes—
1130C2×D4C23×D7916yes—
1131C2×D4C23×D7913yes—
1132C22×C4—212no—
1133C22×C4—793no—
1134C22×C4—793no—
1135C22×C4—796no—
1136C22×C4—793no—
1137C22×C4—793no—
1138C22×C4—796no—
1139C22×C4—796no—
1140C22×C4—796no—
1141C22×C4—796no—
1142C22×C4—7912no—
1143C22×C4—796no—
1144C22×C4—796no—
1145C22×C4—7912no—
1146C22×C4—796no—
1147C22×C4—6326no—
1148C22×C4—6326no—
1149C22×C4C23×D7913yes—
1150C22×C4C23×D7916yes—
1151C22×C4C23×D7913yes—
1152C22×C4C23×D7913yes—
1153C22×C4C23×D7913yes—
1154C22×C4C23×D7911yescharacteristic
1155C22×C4C23×D7916yes—
1156C22×C4C23×D7913yes—
1157C4⋊C4—796no—
1158C4⋊C4—796no—
1159C4⋊C4—7912no—
1160C4⋊C4—792no—
1161C4⋊C4—796no—
1162C4⋊C4—792no—
1163C4⋊C4—792no—
1164C4⋊C4—792no—
1165C4⋊C4—796no—
1166C4⋊C4—796no—
1167C4⋊C4—792no—
1168C4⋊C4—793no—
1169C4⋊C4—793no—
1170C4⋊C4—793no—
1171C4⋊C4—793no—
1172C4⋊C4—791no—
1173C4⋊C4—791no—
1174C4⋊C4—793no—
1175C4⋊C4—796no—
1176C4⋊C4—796no—
1177C4⋊C4—796no—
1178C4⋊C4—793no—
1179C4⋊C4—793no—
1180C4⋊C4—793no—
1181C4⋊C4—793no—
1182C4⋊C4—793no—
1183C4⋊C4—793no—
1184C4⋊C4—7912no—
1185C4⋊C4—791no—
1186C4⋊C4—792no—
1187C4⋊C4—792no—
1188C4⋊C4C23×D7916yes—
1189C4⋊C4C23×D7913yes—
1190C4⋊C4C23×D7916yes—
1191C4⋊C4C23×D7911yescharacteristic
1192C4⋊C4C23×D7912yes—
1193C22⋊C4—796no—
1194C22⋊C4—791no—
1195C22⋊C4—791no—
1196C22⋊C4—793no—
1197C22⋊C4—793no—
1198C22⋊C4—796no—
1199C22⋊C4—796no—
1200C22⋊C4—7912no—
1201C22⋊C4—796no—
1202C22⋊C4—796no—
1203C22⋊C4—793no—
1204C22⋊C4—793no—
1205C22⋊C4—793no—
1206C22⋊C4—793no—
1207C22⋊C4—796no—
1208C22⋊C4—792no—
1209C22⋊C4—796no—
1210C22⋊C4—796no—
1211C22⋊C4—7912no—
1212C22⋊C4—796no—
1213C22⋊C4—796no—
1214C22⋊C4—796no—
1215C22⋊C4—7912no—
1216C22⋊C4—796no—
1217C22⋊C4—796no—
1218C22⋊C4—796no—
1219C22⋊C4C23×D7916yes—
1220C22⋊C4C23×D7916yes—
1221C22⋊C4C23×D79112yes—
1222C22⋊C4C23×D7916yes—
1223C22⋊C4C23×D7916yes—
1224C22⋊C4C23×D7912yes—
1225C42—791no—
1226C42—793no—
1227C42—793no—
1228C42—793no—
1229C42—793no—
1230C42—791no—
1231C42—792no—
1232C42—792no—
1233C42—796no—
1234C42—796no—
1235C42—796no—
1236C42—796no—
1237C42—796no—
1238C42—793no—
1239C42—793no—
1240C42C23×D7916yes—
1241C23—26no—
1242C23—212no—
1243C23—46no—
1244C23—43no—
1245C23—46no—
1246C23—43no—
1247C23—3166no—
1248C23—3166no—
1249C23—796no—
1250C23—15812no—
1251C23C24×D7911yescharacteristic
1252C23C24×D7916yes—
1253C23C24×D7913yes—
1254C23C24×D7913yes—
1255Q8—26no—
1256Q8—22no—
1257Q8—3166no—
1258Q8—3166no—
1259Q8—1582no—
1260Q8C2×#1192962314yes—
1261D4—212no—
1262D4—212no—
1263D4—212no—
1264D4—26no—
1265D4—26no—
1266D4—46no—
1267D4—412no—
1268D4—46no—
1269D4—3166no—
1270D4—3166no—
1271D4—3166no—
1272D4—31612no—
1273D4—31612no—
1274D4—31612no—
1275D4—3166no—
1276D4—15812no—
1277D4—15812no—
1278D4—1586no—
1279D4C2×#11929623112yes—
1280C2×C4—26no—
1281C2×C4—22no—
1282C2×C4—26no—
1283C2×C4—26no—
1284C2×C4—26no—
1285C2×C4—212no—
1286C2×C4—46no—
1287C2×C4—3166no—
1288C2×C4—31612no—
1289C2×C4—3166no—
1290C2×C4—3163no—
1291C2×C4—3163no—
1292C2×C4—3166no—
1293C2×C4—3166no—
1294C2×C4—31612no—
1295C2×C4—3163no—
1296C2×C4—3163no—
1297C2×C4—3166no—
1298C2×C4—3166no—
1299C2×C4—3166no—
1300C2×C4—791no—
1301C2×C4—793no—
1302C2×C4—791no—
1303C2×C4—793no—
1304C2×C4—792no—
1305C2×C4—792no—
1306C2×C4—793no—
1307C2×C4—793no—
1308C2×C4—791no—
1309C2×C4—791no—
1310C2×C4—796no—
1311C2×C4—15812no—
1312C2×C4C2×#11929623112yes—
1313C2×C4C24×D7913yes—
1314C2×C4C24×D7912yes—
1315C2×C4C24×D7912yes—
1316C2×C4C24×D7916yes—
1317C2×C4C24×D7911yescharacteristic
1318C2×C4C24×D7911yescharacteristic
1319C2×C4C24×D7913yes—
1320C22—23no—
1321C22—23no—
1322C22—21no—
1323C22—23no—
1324C22—26no—
1325C22—23no—
1326C22—26no—
1327C22—21no—
1328C22—26no—
1329C22—23no—
1330C22—21no—
1331C22—86no—
1332C22—812no—
1333C22—63212no—
1334C22—1586no—
1335C22—1586no—
1336C22—1586no—
1337C22C22×#1192962316yes—
1338C22C25×D7911yescharacteristic
1339C4—21no—
1340C4—22no—
1341C4—23no—
1342C4—26no—
1343C4—22no—
1344C4—1582no—
1345C4—1581no—
1346C4—1583no—
1347C4—1581no—
1348C4—1583no—
1349C4—1582no—
1350C4—1583no—
1351C4—1581no—
1352C4—1586no—
1353C4—1581no—
1354C4—1583no—
1355C4C22×#1192962316yes—
1356C4C22×#1192962312yes—
1357C2—26no—
1358C2—41no—
1359C2—46no—
1360C2—43no—
1361C2—3166no—
1362C2C23×#1192962311yescharacteristic
1363C2#2377821011yescharacteristic
1364C2#2377821111yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3488C2
hypercenter#3488D79
hypocenterC79#62858
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. #23777510C2semidirect
2. #23777502C2semidirect
3. #23777423C2semidirect
4. #23777419C2semidirect
5. #23777401C2semidirect
6. #23777397C2semidirect
7. #23777341C2semidirect
8. #23777329C2semidirect
9. #23777321C2semidirect
10. #23777275C2semidirect
11. #23777222C2semidirect
12. #23777174C2semidirect
13. #23777137C2semidirect
14. #23777129C2semidirect
15. #23777069C2semidirect
16. #23776817C2semidirect
17. #23776813C2semidirect
18. #23776788C2semidirect
19. C2×#19099166C2semidirect
20. H(5,𝔽2)×Dic79C2semidirect
21. #23776606C2semidirect
22. #23776603C2semidirect
23. C79×#3488C2semidirect
25. #19099295C22semidirect
26. #19099295C22semidirect
27. #19099292C22semidirect
28. #19099289C22semidirect
29. #19099278C22semidirect
30. #19099277C22semidirect
31. #19099272C22semidirect
32. #19099270C22semidirect
33. #19099265C22semidirect
34. #19099265C22semidirect
35. #19099265C22semidirect
36. #19099260C22semidirect
37. #19099260C22semidirect
38. #19099259C22semidirect
39. #19099259C22semidirect
40. #19099256C22semidirect
41. #19099255C22semidirect
42. #19099247C22semidirect
43. #19099239C22semidirect
44. #19099236C22semidirect
45. #19099233C22semidirect
46. #19099233C22semidirect
47. #19099232C22semidirect
48. #19099232C22semidirect
49. #19099232C22semidirect
50. #19099224C22semidirect
51. #19099217C22semidirect
52. #19099213C22semidirect
53. #19099207C22semidirect
54. #19099201C22semidirect
55. #19099200C22semidirect
56. #19099200C22semidirect
57. #19099200C22semidirect
58. D4×C22⋊D79C22semidirect
59. D4×C22⋊D79C22semidirect
60. D4×C22⋊D79C22semidirect
61. #19099194C22semidirect
62. #19099191C22semidirect
63. #19099186C22semidirect
64. #19099186C22semidirect
65. #19099186C22semidirect
66. #19099182C22semidirect
67. #19099180C22semidirect
68. #19099180C22semidirect
69. #19099173C22semidirect
70. #19099173C22semidirect
71. #19099167C22semidirect
72. #19099166C22semidirect
73. #19099166C22semidirect
74. #19099166C22semidirect
75. #19099166C22semidirect
76. #19099166C22semidirect
77. #19099166C22semidirect
78. #19099166C22semidirect
79. #19099166C22semidirect
80. #19099166C22semidirect
81. #19099166C22semidirect
82. #19099157C22semidirect
83. #19099157C22semidirect
84. #19099150C22semidirect
85. #19099148C22semidirect
86. #19099148C22semidirect
87. #19099148C22semidirect
88. #19099141C22semidirect
89. #19099130C22semidirect
90. #19099127C22semidirect
91. #19099127C22semidirect
92. #19099116C22semidirect
93. #19099111C22semidirect
94. #19099109C22semidirect
95. #19099108C22semidirect
96. #19099108C22semidirect
97. #19099108C22semidirect
98. C2×#14579157C22semidirect
99. #19099099C22semidirect
100. #19099099C22semidirect
101. #19099095C22semidirect
102. #19099095C22semidirect
103. #19099094C22semidirect
104. #19099093C22semidirect
105. #19099093C22semidirect
106. #19099092C22semidirect
107. C2×#14579152C22semidirect
108. #19099074C22semidirect
109. #19099073C22semidirect
110. #19099069C22semidirect
111. C2×#14579145C22semidirect
112. C2×#14579143C22semidirect
113. C2×#14579135C22semidirect
114. C2×#14579133C22semidirect
115. C2×#14579132C22semidirect
117. #19099046C22semidirect
118. #19099046C22semidirect
119. #19099046C22semidirect
120. #19099046C22semidirect
121. #19099046C22semidirect
122. #19099046C22semidirect
123. #19099045C22semidirect
124. #19099044C22semidirect
125. #19099041C22semidirect
126. #19099041C22semidirect
127. #19099038C22semidirect
128. #19099038C22semidirect
129. #19099038C22semidirect
130. #19099038C22semidirect
131. #19099037C22semidirect
132. #19099035C22semidirect
135. #41×Dic79C22semidirect
136. #41×Dic79C22semidirect
137. #41×Dic79C22semidirect
138. #41×Dic79C22semidirect
139. C4×#11929625C22semidirect
140. #19099031C22semidirect
141. C2×D4×Dic79C22semidirect
142. C2×D4×Dic79C22semidirect
143. C2×#14579123C22semidirect
144. C4×D4×D79C22semidirect
145. C2×#14579120C22semidirect
146. C2×#14579120C22semidirect
149. #550×C79C22semidirect
150. #548×C79C22semidirect
151. #546×C79C22semidirect
152. D42×C79C22semidirect
153. #537×C79C22semidirect
154. #535×C79C22semidirect
155. #525×C79C22semidirect
156. C2×#121×C79C22semidirect
519. #41×C79#41semidirect
698. #3488D79semidirect
706. C79#62858semidirect
735. #550C2×D79semidirect
737. #548C2×D79semidirect
745. #546C2×D79semidirect
749. D42C2×D79semidirect
778. #537C2×D79semidirect
782. #535C2×D79semidirect
802. #525C2×D79semidirect
808. C2×#121C2×D79semidirect
1096. #41#11929623semidirect

Maximal subgroups

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

subgroupindex
#237775102
#237775022
#237774232
#237774192
#237774012
#237773972
#237773412
#237773292
#237773212
#237772752
#237772222
#237771742
#237771372
#237771292
#237770692
#237768172
#237768132
#237767882
C2×#190991662
H(5,𝔽2)×Dic792
#237766062
#237766032
C79×#34882
#6285879