Finite Group Databasebeta

← #35197165

Subgroups — #35197165

Order 20224.

7900 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777921C214yesmaximal, complemented
2#23777912C214yesmaximal, complemented
3#23777803C212yesmaximal, complemented
4#23777794C212yesmaximal, complemented
5#23777763C218yesmaximal, complemented
6#23777639C211yesmaximal, characteristic, complemented
7#23777635C212yesmaximal, complemented
8#23777428C214yesmaximal, complemented
9#23777419C214yesmaximal, complemented
10#23777302C214yesmaximal, complemented
11#23777275C212yesmaximal, complemented
12#23777272C212yesmaximal, complemented
13#23777247C214yesmaximal, complemented
14#23777172C214yesmaximal, complemented
15#23777161C214yesmaximal, complemented
16#23777060C218yesmaximal, complemented
17#23776692C211yesmaximal, characteristic, complemented
18C2×#19099108C212yesmaximal, complemented
19C79×#3537C211yesmaximal, characteristic, complemented
20C2×#14579206C2218yescomplemented
21C22×#11929623C2214yescomplemented
22#19099310C2218yescomplemented
23#19099306C2214yescomplemented
24#19099305C2214yescomplemented
25#19099303C2214yescomplemented
26#19099301C2218yescomplemented
27#19099297C2218yescomplemented
28#19099295C2218yescomplemented
29#19099280C2218yescomplemented
30#19099277C2214yescomplemented
31#19099276C2214yescomplemented
32#19099275C2214yescomplemented
33#19099272C2214yescomplemented
34#19099269C2214yescomplemented
35#19099265C2214yescomplemented
36#19099264C2218yescomplemented
37#19099261C2214yescomplemented
38#19099259C2214yescomplemented
39#19099256C2218yescomplemented
40#19099234C2214yescomplemented
41#19099233C2214yescomplemented
42#19099233C2218yescomplemented
43#19099231C2218yescomplemented
44#19099231C2218yescomplemented
45#19099222C2218yescomplemented
46#19099219C2218yescomplemented
47#19099211C2218yescomplemented
48#19099211C2218yescomplemented
49#19099208C2218yescomplemented
50#19099207C2218yescomplemented
51#19099205C2218yescomplemented
52#19099205C2218yescomplemented
53#19099202C2218yescomplemented
54#19099202C2218yescomplemented
55#19099200C2218yescomplemented
56#19099200C2218yescomplemented
57#19099200C2218yescomplemented
58#19099200C2218yescomplemented
59D4×D316C2214yescomplemented
60#19099197C2214yescomplemented
61#19099197C2214yescomplemented
62D4×C22⋊D79C2214yescomplemented
63D4×C22⋊D79C2218yescomplemented
64D4×C22⋊D79C2218yescomplemented
65D4×C22⋊D79C2214yescomplemented
66#19099195C2214yescomplemented
67#19099195C2214yescomplemented
68#19099195C2218yescomplemented
69#19099195C2218yescomplemented
70#19099181C2218yescomplemented
71#19099179C2218yescomplemented
72#19099169C2212yescomplemented
73#19099168C2212yescomplemented
74#19099167C2212yescomplemented
75#19099166C2214yescomplemented
76#19099166C2214yescomplemented
77#19099153C2214yescomplemented
78#19099152C2218yescomplemented
79#19099151C2214yescomplemented
80#19099150C2214yescomplemented
81#19099150C2218yescomplemented
82#19099149C2218yescomplemented
83#19099148C2218yescomplemented
84#19099142C2218yescomplemented
85#19099140C2218yescomplemented
86#19099140C2218yescomplemented
87#19099129C2214yescomplemented
88#19099129C2218yescomplemented
89#19099128C2218yescomplemented
90#19099128C2218yescomplemented
91#19099128C2218yescomplemented
92#19099127C2212yescomplemented
93#19099126C2218yescomplemented
94#19099125C2214yescomplemented
95#19099121C2214yescomplemented
96#19099121C2214yescomplemented
97#19099119C2212yescomplemented
98#19099116C2211yescharacteristic, complemented
99#19099116C2212yescomplemented
100#19099115C2212yescomplemented
101#19099110C2214yescomplemented
102#19099109C2211yescharacteristic, complemented
103#19099108C2214yescomplemented
104#19099108C2214yescomplemented
105#19099108C2214yescomplemented
106#19099108C2214yescomplemented
107#19099108C2212yescomplemented
108#19099108C2214yescomplemented
109#19099108C2214yescomplemented
110#19099108C2214yescomplemented
111#19099108C2214yescomplemented
112#19099108C2214yescomplemented
113C2×#14579160C2212yescomplemented
114C2×#14579157C2212yescomplemented
115C2×#14579157C2212yescomplemented
116#127×D79C2212yescomplemented
117#19099099C2212yescomplemented
118#19099094C2212yescomplemented
119#19099093C2214yescomplemented
120#19099090C2214yescomplemented
121C2×#14579147C2214yescomplemented
122#19099074C2211yescharacteristic, complemented
123#19099072C2218yescomplemented
124#19099069C2214yescomplemented
125#19099069C2218yescomplemented
126C2×#14579135C2212yescomplemented
127C2×#14579133C2214yescomplemented
128C2×#14579133C2218yescomplemented
129#121×D79C2218yescomplemented
130#19099042C2218yescomplemented
131#19099038C2212yescomplemented
132#19099037C2212yescomplemented
133#19099035C2214yescomplemented
134#41×Dic79C2211yescharacteristic, complemented
135#19099031C2211yescharacteristic, complemented
136C4×#11929623C2214yescomplemented
137C2×D4×Dic79C2212yescomplemented
138C2×#14579123C2212yescomplemented
139C2×(C22⋊D79)⋊C4C2214yescomplemented
140C22×C4×Dic79C2211yescharacteristic, complemented
141#560×C79C2214yescomplemented
142#553×C79C2214yescomplemented
143D42×C79C2214yescomplemented
144D42×C79C2214yescomplemented
145#540×C79C2212yescomplemented
146#538×C79C2214yescomplemented
147#535×C79C2212yescomplemented
148#534×C79C2214yescomplemented
149#525×C79C2211yescharacteristic, complemented
150C2×#121×C79C2212yescomplemented
151#14579206—432no—
152C2×#11929624C2318yes—
153C2×#11929624C2318yes—
154C2×#11929624C2311yescharacteristic
155C2×#11929623—416no—
156C2×#11929623C2314yes—
157C2×#11929623C2318yes—
158C2×#11929623C2318yes—
159C2×#11929623C2318yes—
160C2×#11929623C2318yes—
161C2×#11929623C2318yes—
162C2×#11929623C2318yes—
163C22×Dic158C2314yes—
164C22×D316C2312yes—
165C22×D316C2312yes—
166C22×C22⋊D79C2314yes—
167C22×C22⋊D79C2318yes—
168C22×C22⋊D79C2318yes—
169C22×C22⋊D79C2318yes—
170C22×C22⋊D79C2314yes—
171C22×C22⋊D79C2314yes—
172C2×D4×D79C2318yes—
173C2×D4×D79C2318yes—
174C2×D4×D79C2318yes—
175C2×D4×D79C2318yes—
176C2×D4×D79C2314yes—
177C23×Dic79C2312yes—
178C23×Dic79C2314yes—
179C22×C4×D79C2314yes—
180#14579160C2314yes—
181#14579160C2312yes—
182#14579160C2314yes—
183#14579160C2314yes—
184#14579160C2314yes—
185#14579159C2311yescharacteristic
186#14579158C2312yes—
187#14579157C2314yes—
188#14579157C2311yescharacteristic
189#14579157C2314yes—
190#14579157C2318yes—
191#14579157C2314yes—
192#14579157C2314yes—
193#14579157C2318yes—
194#14579157C2318yes—
195#14579157C2314yes—
196#14579157C2314yes—
197#14579156C2318yes—
198#14579156C2314yes—
199#14579156C2318yes—
200#14579154C2314yes—
201#14579154C2318yes—
202#14579153C2312yes—
203#14579152C2314yes—
204#14579152C2312yes—
205#14579151C2314yes—
206#14579150C2314yes—
207#14579150C2311yescharacteristic
208#14579149C2318yes—
209#14579148C2318yes—
210#14579148C2311yescharacteristic
211#14579147C2318yes—
212#14579147C2318yes—
213#14579147C2318yes—
214#14579147C2318yes—
215#14579147C2318yes—
216#14579147C2314yes—
217#14579147C2318yes—
218#14579147C2318yes—
219#14579147C2318yes—
220#14579147C2318yes—
221#14579146C2318yes—
222#14579146C2318yes—
223#14579146C2318yes—
224#14579145C2318yes—
225#14579145C2318yes—
226#14579145C2318yes—
227#14579145C2314yes—
228#14579144C2312yes—
229#14579143C2318yes—
230#14579143C2318yes—
231#14579143C2318yes—
232#14579142C2318yes—
233#14579142C2314yes—
234#14579141C2318yes—
235#14579140C2318yes—
236#14579140C2312yes—
237#14579139C2318yes—
238#14579139C2318yes—
239#14579139C2318yes—
240#14579138C2314yes—
241#14579138C2318yes—
242#14579138C2318yes—
243#14579138C2318yes—
244#14579138C2314yes—
245#14579136C2318yes—
246#14579136C2318yes—
247#14579136C2314yes—
248#14579135C2318yes—
249#14579135C2318yes—
250#14579135C2314yes—
251#14579135C2314yes—
252#14579135C2314yes—
253#14579135C2314yes—
254#14579135C2314yes—
255#14579135C2312yes—
256#14579134C2318yes—
257#14579134C2318yes—
258#14579134C2318yes—
259#14579134C2318yes—
260#14579134C2318yes—
261#14579134C2318yes—
262#14579134C2318yes—
263#14579133C2318yes—
264#14579133C2318yes—
265#14579133C2318yes—
266#14579133C2318yes—
267#14579133C2318yes—
268#14579133C2318yes—
269#14579133C2318yes—
270#14579133C2318yes—
271#14579133C2318yes—
272#14579133C2318yes—
273#14579133C2318yes—
274#14579133C2318yes—
275#14579133C2318yes—
276#14579133C2318yes—
277#14579133C2314yes—
278#14579133C2318yes—
279#14579133C2314yes—
280#14579132C2318yes—
281#14579132C2318yes—
282#14579132C2318yes—
283#14579132C2314yes—
284#14579131C2318yes—
285#14579131C2318yes—
286#14579131C2318yes—
287#14579131C2318yes—
288#14579131C2318yes—
289#14579130C2318yes—
290#14579130C2318yes—
291#14579130C2312yes—
292#14579129C2318yes—
293#14579129C2318yes—
294#14579129C2318yes—
295#14579129C2318yes—
296#14579129C2314yes—
297#14579129C2314yes—
298#14579129C2318yes—
299Q8×Dic79C2312yes—
300C4×Dic158C2318yes—
301C4×Dic158C2314yes—
302#14579126C2318yes—
303#14579126C2314yes—
304#14579126C2312yes—
305C4×D316C2318yes—
306C4×D316C2314yes—
307D4×Dic79C2314yes—
308D4×Dic79C2318yes—
309D4×Dic79C2318yes—
310D4×Dic79C2314yes—
311D4×Dic79C2314yes—
312D4×Dic79C2314yes—
313D4×Dic79C2314yes—
314D4×Dic79C2312yes—
315D4×Dic79C2314yes—
316D4×Dic79C2314yes—
317#14579123C2314yes—
318#14579123C2314yes—
319#14579123C2314yes—
320#14579123C2314yes—
321#14579123C2312yes—
322#14579123C2314yes—
323C4×C22⋊D79C2318yes—
324C4×C22⋊D79C2318yes—
325C4×C22⋊D79C2318yes—
326C4×C22⋊D79C2314yes—
327C4×C22⋊D79C2314yes—
328(C22⋊D79)⋊C4C2318yes—
329(C22⋊D79)⋊C4C2318yes—
330(C22⋊D79)⋊C4C2318yes—
331(C22⋊D79)⋊C4C2314yes—
332(C22⋊D79)⋊C4C2314yes—
333(C22⋊D79)⋊C4C2318yes—
334(C22⋊D79)⋊C4C2318yes—
335(C22⋊D79)⋊C4C2318yes—
336(C22⋊D79)⋊C4C2318yes—
337(C22⋊D79)⋊C4C2314yes—
338#14579120C2311yescharacteristic
339#14579120C2312yes—
340#14579120C2312yes—
341#14579119C2314yes—
342#14579119C2314yes—
343#14579118C2312yes—
344#14579118C2318yes—
345#14579117C2314yes—
346#14579117C2318yes—
347#14579117C2314yes—
348C2×C4⋊Dic79C2312yes—
349C2×Dic79⋊C4C2314yes—
350C2×Dic79⋊C4C2318yes—
351C4⋊C4×D79C2318yes—
352C2×C22⋊Dic79C2318yes—
353C2×C22⋊Dic79C2314yes—
354C2×(C2×D79)⋊C4C2314yes—
355C2×(C2×D79)⋊C4C2318yes—
356C2×(C2×D79)⋊C4C2314yes—
357C22⋊C4×D79C2318yes—
358C22⋊C4×D79C2318yes—
359C2×C4×Dic79C2312yes—
360C2×C4×Dic79C2312yes—
361C2×C4×Dic79C2312yes—
362C2×C4×Dic79C2311yescharacteristic
363C2×C4×Dic79C2312yes—
364C2×C4×Dic79C2312yes—
365C2×C4×Dic79C2311yescharacteristic
366C2×C4×Dic79C2312yes—
367C42×D79C2312yes—
368C2×#41×C79C2311yescharacteristic
369C22×D4×C79C2318yes—
370C22×D4×C79C2312yes—
371C22×D4×C79C2314yes—
372C22×D4×C79C2312yes—
373C23×C4×C79C2311yescharacteristic
374#127×C79C2312yes—
375#127×C79C2314yes—
376#126×C79C2318yes—
377#125×C79C2312yes—
378#124×C79C2314yes—
379#123×C79C2318yes—
380#123×C79C2318yes—
381#123×C79C2312yes—
382C22⋊Q8×C79C2312yes—
383#121×C79C2318yes—
384#121×C79C2318yes—
385#121×C79C2318yes—
386#121×C79C2314yes—
387#121×C79C2314yes—
388#121×C79C2314yes—
389#121×C79C2314yes—
390#121×C79C2314yes—
391#121×C79C2312yes—
392#120×C79C2318yes—
393#120×C79C2312yes—
394#120×C79C2314yes—
395#120×C79C2318yes—
396#120×C79C2314yes—
397C4×D4×C79C2314yes—
398C4×D4×C79C2318yes—
399C4×D4×C79C2314yes—
400#117×C79C2311yescharacteristic
401#117×C79C2312yes—
402C2×C4⋊C4×C79C2312yes—
403C2×C22⋊C4×C79C2314yes—
404C23×D79C2414yes—
405C23×D79C2414yes—
406C23×D79C2418yes—
407#11929624—416no—
408#11929624—416no—
409#11929624—42no—
410#11929623—232no—
411#11929623—216no—
412#11929623—416no—
413#11929623—416no—
414#11929623—416no—
415#11929623—416no—
416#11929623—416no—
417C2×Dic158—48no—
418C2×Dic158C2418yes—
419C2×Dic158C2414yes—
420C2×Dic158C2418yes—
421C2×Dic158C2411yescharacteristic
422C2×D316—44no—
423C2×D316—44no—
424C2×D316C2414yes—
425C2×D316C2411yescharacteristic
426C2×D316C2418yes—
427C2×D316C2418yes—
428C2×D316C2414yes—
429C2×D316C2414yes—
430C2×C22⋊D79—216no—
431C2×C22⋊D79—48no—
432C2×C22⋊D79—416no—
433C2×C22⋊D79—48no—
434C2×C22⋊D79—416no—
435C2×C22⋊D79—416no—
436C2×C22⋊D79C2418yes—
437C2×C22⋊D79C2418yes—
438C2×C22⋊D79C2418yes—
439C2×C22⋊D79C2418yes—
440C2×C22⋊D79C2414yes—
441C2×C22⋊D79C2414yes—
442C2×C22⋊D79C2418yes—
443C2×C22⋊D79C2418yes—
444C2×C22⋊D79C2418yes—
445C2×C22⋊D79C2418yes—
446C2×C22⋊D79C2412yes—
447C2×C22⋊D79C2418yes—
448C2×C22⋊D79C2418yes—
449C2×C22⋊D79C2418yes—
450D4×D79—416no—
451D4×D79—416no—
452D4×D79—416no—
453D4×D79—416no—
454D4×D79—48no—
455C22×Dic79—28no—
456C22×Dic79—48no—
457C22×Dic79C2412yes—
458C22×Dic79C2412yes—
459C22×Dic79C2412yes—
460C22×Dic79C2412yes—
461C22×Dic79C2414yes—
462C22×Dic79C2418yes—
463C22×Dic79C2412yes—
464C22×Dic79C2414yes—
465C22×Dic79C2418yes—
466C22×Dic79C2418yes—
467C22×Dic79C2412yes—
468C2×C4×D79—48no—
469C2×C4×D79C2418yes—
470C2×C4×D79C2414yes—
471C2×C4×D79C2412yes—
472C2×C4×D79C2418yes—
473C2×C4×D79C2418yes—
474C2×C4×D79C2418yes—
475C4⋊Dic79C2418yes—
476C4⋊Dic79C2414yes—
477C4⋊Dic79C2414yes—
478C4⋊Dic79C2414yes—
479C4⋊Dic79C2414yes—
480C4⋊Dic79C2412yes—
481Dic79⋊C4C2414yes—
482Dic79⋊C4C2418yes—
483Dic79⋊C4C2418yes—
484Dic79⋊C4C2418yes—
485Dic79⋊C4C2418yes—
486Dic79⋊C4C2414yes—
487Dic79⋊C4C2414yes—
488Dic79⋊C4C2414yes—
489Dic79⋊C4C2414yes—
490C22⋊Dic79C2414yes—
491C22⋊Dic79C2418yes—
492C22⋊Dic79C2414yes—
493C22⋊Dic79C2418yes—
494C22⋊Dic79C2418yes—
495C22⋊Dic79C2414yes—
496C22⋊Dic79C2414yes—
497C22⋊Dic79C2418yes—
498C22⋊Dic79C2412yes—
499(C2×D79)⋊C4C2414yes—
500(C2×D79)⋊C4C2418yes—
501(C2×D79)⋊C4C2418yes—
502(C2×D79)⋊C4C2418yes—
503(C2×D79)⋊C4C2418yes—
504(C2×D79)⋊C4C2418yes—
505(C2×D79)⋊C4C2418yes—
506(C2×D79)⋊C4C2418yes—
507(C2×D79)⋊C4C2418yes—
508(C2×D79)⋊C4C2418yes—
509(C2×D79)⋊C4C2414yes—
510(C2×D79)⋊C4C2414yes—
511C4×Dic79C2411yescharacteristic
512C4×Dic79C2414yes—
513C4×Dic79C2412yes—
514C4×Dic79C2411yescharacteristic
515C4×Dic79C2411yescharacteristic
516C4×Dic79C2412yes—
517C4×Dic79C2412yes—
518C4×Dic79C2412yes—
519C4×Dic79C2412yes—
520C4×Dic79C2412yes—
521C4×Dic79C2411yescharacteristic
522C4×Dic79C2414yes—
523C4×Dic79C2412yes—
524C4×Dic79C2414yes—
525C4×Dic79C2418yes—
526C24×C79C2411yescharacteristic
527C24×C79C2414yes—
528C24×C79C2414yes—
529#41×C79—42no—
530C2×Q8×C79C2411yescharacteristic
531C2×D4×C79—44no—
532C2×D4×C79—44no—
533C2×D4×C79—48no—
534C2×D4×C79—416no—
535C2×D4×C79C2418yes—
536C2×D4×C79C2414yes—
537C2×D4×C79C2414yes—
538C2×D4×C79C2418yes—
539C2×D4×C79C2418yes—
540C2×D4×C79C2418yes—
541C2×D4×C79C2411yescharacteristic
542C2×D4×C79C2412yes—
543C2×D4×C79C2414yes—
544C2×D4×C79C2414yes—
545C22×C4×C79—42no—
546C22×C4×C79C2411yescharacteristic
547C22×C4×C79C2412yes—
548C22×C4×C79C2412yes—
549C22×C4×C79C2414yes—
550C22×C4×C79C2418yes—
551C22×C4×C79C2412yes—
552C22×C4×C79C2411yescharacteristic
553C4⋊C4×C79C2414yes—
554C4⋊C4×C79C2414yes—
555C4⋊C4×C79C2412yes—
556C4⋊C4×C79C2414yes—
557C4⋊C4×C79C2418yes—
558C22⋊C4×C79C2418yes—
559C22⋊C4×C79C2418yes—
560C22⋊C4×C79C2414yes—
561C22⋊C4×C79C2412yes—
562C22⋊C4×C79C2414yes—
563C22⋊C4×C79C2418yes—
564C22⋊C4×C79C2418yes—
565C22⋊C4×C79C2414yes—
566C42×C79C2412yes—
567C42×C79C2414yes—
568C23×C79—24no—
569C23×C79—28no—
570C23×C79—41no—
571C23×C79—44no—
572C23×C79—44no—
573C23×C79—48no—
574C23×C79—44no—
575C23×C79C2512yes—
576C23×C79C2518yes—
577C23×C79C2511yescharacteristic
578C23×C79C2512yes—
579C22×D79—28no—
580C22×D79—44no—
581C22×D79—44no—
582C22×D79—48no—
583C22×D79—48no—
584C22×D79—48no—
585C22×D79—48no—
586C22×D79—44no—
587C22×D79C2512yes—
588C22×D79C2518yes—
589Q8×C79—41no—
590D4×C79—28no—
591D4×C79—216no—
592D4×C79—28no—
593D4×C79—48no—
594D4×C79—48no—
595D4×C79—48no—
596D4×C79—44no—
597D4×C79—44no—
598D4×C79—41no—
599D4×C79—42no—
600C2×C4×C79—24no—
601C2×C4×C79—24no—
602C2×C4×C79—22no—
603C2×C4×C79—44no—
604C2×C4×C79—48no—
605C2×C4×C79—41no—
606C2×C4×C79—42no—
607C2×C4×C79C2511yescharacteristic
608C2×C4×C79C2512yes—
609C2×C4×C79C2512yes—
610C2×C4×C79C2518yes—
611C2×C4×C79C2514yes—
612C2×C4×C79C2511yescharacteristic
613C22⋊D79—28no—
614C22⋊D79—216no—
615C22⋊D79—28no—
616C22⋊D79—216no—
617C22⋊D79—216no—
618C22⋊D79—216no—
619C22⋊D79—48no—
620C22⋊D79—48no—
621C22⋊D79—48no—
622C22⋊D79—48no—
623C22⋊D79—48no—
624C22⋊D79—48no—
625C22⋊D79—48no—
626C22⋊D79—42no—
627C2×Dic79—24no—
628C2×Dic79—24no—
629C2×Dic79—24no—
630C2×Dic79—24no—
631C2×Dic79—24no—
632C2×Dic79—216no—
633C2×Dic79—28no—
634C2×Dic79—44no—
635C2×Dic79—48no—
636C2×Dic79—48no—
637C2×Dic79H(5,𝔽2)18yescomplemented
638C2×Dic79C2512yes—
639C2×Dic79C2512yes—
640C2×Dic79C2512yes—
641C2×Dic79C2518yes—
642C2×Dic79C2514yes—
643C2×Dic79C2512yes—
644C2×Dic79C2512yes—
645D316—28no—
646D316—48no—
647D316—48no—
648D316—44no—
649D316—44no—
650D316—41no—
651C4×D79—24no—
652C4×D79—216no—
653C4×D79—28no—
654C4×D79—48no—
655C4×D79—48no—
656C4×D79—48no—
657Dic158—216no—
658Dic158—28no—
659Dic158—48no—
660Dic158—41no—
661C22×C79—22no—
662C22×C79—22no—
663C22×C79—28no—
664C22×C79—24no—
665C22×C79—28no—
666C22×C79—22no—
667C22×C79—21no—
668C22×C79—28no—
669C22×C79—22no—
670C22×C79—44no—
671C22×C79—88no—
672C22×C79—164no—
673C22×C79C2×H(5,𝔽2)14yes—
674C22×C79C2611yescharacteristic
675C2×D79—28no—
676C2×D79—28no—
677C2×D79—24no—
678C2×D79—22no—
679C2×D79—28no—
680C2×D79—88no—
681C2×D79—164no—
682C2×D79—168no—
683C4×C79—28no—
684C4×C79—24no—
685C4×C79—22no—
686C4×C79—21no—
687C4×C79—22no—
688C4×C79#58512yes—
689Dic79—24no—
690Dic79—28no—
691Dic79—22no—
692Dic79—22no—
693Dic79—22no—
694Dic79C2×H(5,𝔽2)14yes—
695Dic79C2×H(5,𝔽2)14yes—
696#62834—791nomaximal, Sylow
697C2×C79—24no—
698C2×C79—42no—
699C2×C79—48no—
700C2×C79—41no—
701C2×C79C22×H(5,𝔽2)12yes—
702C2×C79C2×#58511yescharacteristic
703D79—48no—
704D79—42no—
705#3558—794no—
706#3558—794no—
707#3549—792no—
708#3548—792no—
709#3546—798no—
710#3537—791no—
711#3537—792no—
712#3537D7911yescharacteristic, complemented
713#3519—794no—
714#3519—794no—
715#3511—794no—
716#3508—792no—
717#3508—792no—
718#3506—794no—
719#3498—794no—
720#3496—794no—
721#3488—798no—
722#3444—791no—
723C2×#532—792no—
724C79#6283411yescharacteristic, complemented, Sylow
725C2×H(5,𝔽2)—798no—
726C22×#41—794no—
727#562—798no—
728H(3,𝔽4)—794no—
729H(3,𝔽4)—794no—
730#560—794no—
731#560—798no—
732#560C2×D7914yescomplemented
733#559—798no—
734#559—798no—
735#556—798no—
736#555—794no—
737#555—794no—
738#555—794no—
739#554—794no—
740#554—794no—
741#553—798no—
742#553—798no—
743#553—794no—
744#553—794no—
745#553—794no—
746#553C2×D7914yescomplemented
747#550—798no—
748#550—794no—
749#550—798no—
750#550—798no—
751#550—794no—
752#548—798no—
753#548—798no—
754#547—798no—
755#547—798no—
756#546—798no—
757#546—798no—
758#546—798no—
759#546—798no—
760#546—798no—
761#546—798no—
762#546—798no—
763#546—798no—
764#546—798no—
765#546—798no—
766D42—798no—
767D42—798no—
768D42—794no—
769D42—794no—
770D42—794no—
771D42—794no—
772D42—794no—
773D42—798no—
774D42—794no—
775D42—798no—
776D42—794no—
777D42C2×D7914yescomplemented
778D42C2×D7914yescomplemented
779#542—798no—
780#542—798no—
781#540—792no—
782#540—792no—
783#540—794no—
784#540—794no—
785#540—792no—
786#540C2×D7912yescomplemented
787#538—798no—
788#538—798no—
789#538—794no—
790#538—794no—
791#538—798no—
792#538—798no—
793#538—794no—
794#538C2×D7914yescomplemented
795#537—798no—
796#537—798no—
797#537—798no—
798#535—792no—
799#535—798no—
800#535—798no—
801#535—794no—
802#535—798no—
803#535—798no—
804#535—798no—
805#535C2×D7912yescomplemented
806#534—794no—
807#534—794no—
808#534—794no—
809#534C2×D7914yescomplemented
810#533—792no—
811#533—792no—
812#533—791no—
813#533—792no—
814#532—791no—
815#532—794no—
816#532—794no—
817#532—794no—
818#532—794no—
819#532—794no—
820#532—794no—
821#532—794no—
822#532—794no—
823#532—792no—
824#532—794no—
825#532—794no—
826C2×C4⋊Q8—792no—
827C2×#127—792no—
828C2×#127—792no—
829C2×#127—792no—
830#529—794no—
831#529—792no—
832#529—792no—
833#529—794no—
834C2×#124—794no—
835#525—791no—
836#525—794no—
837#525—798no—
838#525—798no—
839#525C2×D7911yescharacteristic, complemented
840C2×#121—794no—
841C2×#121—798no—
842C2×#121—792no—
843C2×#121—798no—
844C2×#121C2×D7912yescomplemented
845#520—798no—
846#518—792no—
847#518—794no—
848#518—792no—
849C4×#41—791no—
850C4×#41—794no—
851C4×#41—791no—
852C2×C4×D4—792no—
853C2×C4×D4—792no—
854C2×C4×D4—794no—
855C22×C42—791no—
856H(5,𝔽2)—31632no—
857C2×#41—31616no—
858C2×#41—798no—
859C2×#41—798no—
860C2×#41—798no—
861C2×#41—798no—
862C2×#41—798no—
863C2×#41—794no—
864C2×#41—798no—
865C2×#41—791no—
866C2×#41—798no—
867C2×#41—798no—
868C2×#41C22×D7911yescharacteristic
869C22×Q8—794no—
870C22×D4—794no—
871C22×D4—798no—
872C22×D4—798no—
873C22×D4—794no—
874C22×D4—798no—
875C22×D4—794no—
876C22×D4—798no—
877C22×D4—798no—
878C22×D4—798no—
879C22×D4—798no—
880C22×D4—794no—
881C22×D4—792no—
882C22×D4—792no—
883C22×D4C22×D7912yes—
884C22×D4C22×D7912yes—
885C22×D4C22×D7914yes—
886C22×D4C22×D7918yes—
887C23×C4—794no—
888C23×C4—794no—
889C23×C4—792no—
890C23×C4C22×D7911yescharacteristic
891C4⋊Q8—791no—
892C4⋊Q8—794no—
893C4⋊Q8—794no—
894C4⋊Q8—794no—
895C4⋊Q8—794no—
896C4⋊Q8—792no—
897#127—794no—
898#127—794no—
899#127—794no—
900#127—794no—
901#127—798no—
902#127—798no—
903#127—794no—
904#127—791no—
905#127—798no—
906#127—794no—
907#127—792no—
908#127C22×D7912yes—
909#127C22×D7914yes—
910#126—794no—
911#126—798no—
912#126—798no—
913#126—794no—
914#126—798no—
915#126C22×D7918yes—
916#125—794no—
917#125—792no—
918#125—794no—
919#125—792no—
920#125C22×D7912yes—
921#124—791no—
922#124—794no—
923#124—791no—
924#124—798no—
925#124—798no—
926#124—798no—
927#124—798no—
928#124—798no—
929#124—794no—
930#124—798no—
931#124—798no—
932#124—798no—
933#124—798no—
934#124—798no—
935#124—798no—
936#124C22×D7914yes—
937#123—794no—
938#123—798no—
939#123—792no—
940#123—798no—
941#123—798no—
942#123—798no—
943#123—794no—
944#123—798no—
945#123—798no—
946#123—798no—
947#123—798no—
948#123—798no—
949#123—798no—
950#123C22×D7912yes—
951#123C22×D7918yes—
952#123C22×D7918yes—
953C22⋊Q8—792no—
954C22⋊Q8—798no—
955C22⋊Q8—798no—
956C22⋊Q8—798no—
957C22⋊Q8—798no—
958C22⋊Q8—798no—
959C22⋊Q8—794no—
960C22⋊Q8—794no—
961C22⋊Q8—798no—
962C22⋊Q8—798no—
963C22⋊Q8—798no—
964C22⋊Q8C22×D7912yes—
965#121—794no—
966#121—798no—
967#121—798no—
968#121—798no—
969#121—798no—
970#121—798no—
971#121—798no—
972#121—798no—
973#121—798no—
974#121—798no—
975#121—798no—
976#121—798no—
977#121—794no—
978#121—798no—
979#121—794no—
980#121—798no—
981#121—798no—
982#121—798no—
983#121—798no—
984#121—798no—
985#121—798no—
986#121—794no—
987#121—794no—
988#121—794no—
989#121—794no—
990#121—798no—
991#121—792no—
992#121—794no—
993#121—798no—
994#121—798no—
995#121—794no—
996#121—798no—
997#121—798no—
998#121—798no—
999#121—798no—
1000#121—798no—
1001#121—798no—
1002#121—798no—
1003#121—798no—
1004#121C22×D7918yes—
1005#121C22×D7914yes—
1006#121C22×D7914yes—
1007#121C22×D7914yes—
1008#121C22×D7914yes—
1009#121C22×D7912yes—
1010#121C22×D7914yes—
1011#121C22×D7918yes—
1012#121C22×D7918yes—
1013#120—792no—
1014#120—798no—
1015#120—798no—
1016#120—798no—
1017#120—794no—
1018#120—798no—
1019#120—794no—
1020#120—798no—
1021#120—798no—
1022#120—798no—
1023#120—798no—
1024#120—798no—
1025#120—798no—
1026#120—798no—
1027#120—798no—
1028#120C22×D7912yes—
1029#120C22×D7918yes—
1030#120C22×D7914yes—
1031#120C22×D7918yes—
1032#120C22×D7914yes—
1033C4×Q8—792no—
1034C4×Q8—794no—
1035C4×Q8—792no—
1036C4×Q8—798no—
1037C4×Q8—794no—
1038C4×Q8—798no—
1039C4×D4—794no—
1040C4×D4—794no—
1041C4×D4—794no—
1042C4×D4—794no—
1043C4×D4—794no—
1044C4×D4—794no—
1045C4×D4—792no—
1046C4×D4—798no—
1047C4×D4—794no—
1048C4×D4—798no—
1049C4×D4—794no—
1050C4×D4—794no—
1051C4×D4—798no—
1052C4×D4—798no—
1053C4×D4—798no—
1054C4×D4—794no—
1055C4×D4—794no—
1056C4×D4—794no—
1057C4×D4—794no—
1058C4×D4—792no—
1059C4×D4—794no—
1060C4×D4—798no—
1061C4×D4—798no—
1062C4×D4—798no—
1063C4×D4—798no—
1064C4×D4—794no—
1065C4×D4—794no—
1066C4×D4—794no—
1067C4×D4—798no—
1068C4×D4—798no—
1069C4×D4—798no—
1070C4×D4—798no—
1071C4×D4—794no—
1072C4×D4C22×D7914yes—
1073C4×D4C22×D7914yes—
1074C4×D4C22×D7918yes—
1075#117—792no—
1076#117—791no—
1077#117—792no—
1078#117—794no—
1079#117—794no—
1080#117—794no—
1081#117—794no—
1082#117—798no—
1083#117—792no—
1084#117—798no—
1085#117C22×D7911yescharacteristic
1086#117C22×D7912yes—
1087C2×C4⋊C4—794no—
1088C2×C4⋊C4—792no—
1089C2×C4⋊C4—798no—
1090C2×C4⋊C4—798no—
1091C2×C4⋊C4C22×D7912yes—
1092C2×C22⋊C4—794no—
1093C2×C22⋊C4—798no—
1094C2×C22⋊C4—794no—
1095C2×C22⋊C4—794no—
1096C2×C22⋊C4—798no—
1097C2×C22⋊C4—798no—
1098C2×C22⋊C4—798no—
1099C2×C22⋊C4C22×D7914yes—
1100C2×C42—792no—
1101C2×C42—792no—
1102C2×C42—792no—
1103C2×C42—792no—
1104C2×C42—791no—
1105C2×C42—792no—
1106C2×C42—792no—
1107C2×C42—791no—
1108C2×C42—792no—
1109C24—798no—
1110C24—794no—
1111C24—794no—
1112C24C23×D7911yescharacteristic
1113C24C23×D7914yes—
1114C24C23×D7914yes—
1115#41—42no—
1116#41—3162no—
1117#41—31616no—
1118#41—31616no—
1119#41—31616no—
1120#41—31616no—
1121#41—31616no—
1122#41—31616no—
1123#41—31616no—
1124#41—15832no—
1125#41—15816no—
1126C2×Q8—3168no—
1127C2×Q8—791no—
1128C2×Q8—798no—
1129C2×Q8—794no—
1130C2×Q8—798no—
1131C2×Q8C23×D7911yescharacteristic
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—48no—
1135C2×D4—416no—
1136C2×D4—3164no—
1137C2×D4—3164no—
1138C2×D4—31616no—
1139C2×D4—31616no—
1140C2×D4—3168no—
1141C2×D4—31616no—
1142C2×D4—3168no—
1143C2×D4—31616no—
1144C2×D4—31616no—
1145C2×D4—3168no—
1146C2×D4—31616no—
1147C2×D4—31616no—
1148C2×D4—792no—
1149C2×D4—798no—
1150C2×D4—798no—
1151C2×D4—798no—
1152C2×D4—798no—
1153C2×D4—798no—
1154C2×D4—798no—
1155C2×D4—798no—
1156C2×D4—798no—
1157C2×D4—794no—
1158C2×D4—794no—
1159C2×D4—798no—
1160C2×D4—798no—
1161C2×D4—798no—
1162C2×D4—791no—
1163C2×D4—794no—
1164C2×D4—794no—
1165C2×D4—798no—
1166C2×D4—798no—
1167C2×D4—794no—
1168C2×D4—15816no—
1169C2×D4C23×D7914yes—
1170C2×D4C23×D7918yes—
1171C2×D4C23×D7914yes—
1172C2×D4C23×D7911yescharacteristic
1173C2×D4C23×D7912yes—
1174C2×D4C23×D7914yes—
1175C2×D4C23×D7914yes—
1176C2×D4C23×D7918yes—
1177C2×D4C23×D7918yes—
1178C2×D4C23×D7918yes—
1179C22×C4—42no—
1180C22×C4—3168no—
1181C22×C4—3168no—
1182C22×C4—794no—
1183C22×C4—798no—
1184C22×C4—798no—
1185C22×C4—798no—
1186C22×C4—798no—
1187C22×C4—798no—
1188C22×C4—792no—
1189C22×C4—792no—
1190C22×C4—792no—
1191C22×C4—792no—
1192C22×C4—792no—
1193C22×C4—792no—
1194C22×C4—794no—
1195C22×C4—798no—
1196C22×C4—792no—
1197C22×C4—794no—
1198C22×C4—798no—
1199C22×C4—1588no—
1200C22×C4C23×D7912yes—
1201C22×C4C23×D7911yescharacteristic
1202C22×C4C23×D7912yes—
1203C22×C4C23×D7912yes—
1204C22×C4C23×D7911yescharacteristic
1205C22×C4C23×D7914yes—
1206C22×C4C23×D7918yes—
1207C4⋊C4—794no—
1208C4⋊C4—798no—
1209C4⋊C4—798no—
1210C4⋊C4—798no—
1211C4⋊C4—798no—
1212C4⋊C4—794no—
1213C4⋊C4—794no—
1214C4⋊C4—794no—
1215C4⋊C4—794no—
1216C4⋊C4—794no—
1217C4⋊C4—794no—
1218C4⋊C4—798no—
1219C4⋊C4—794no—
1220C4⋊C4—794no—
1221C4⋊C4—792no—
1222C4⋊C4C23×D7918yes—
1223C4⋊C4C23×D7914yes—
1224C4⋊C4C23×D7914yes—
1225C4⋊C4C23×D7914yes—
1226C4⋊C4C23×D7912yes—
1227C22⋊C4—794no—
1228C22⋊C4—798no—
1229C22⋊C4—794no—
1230C22⋊C4—798no—
1231C22⋊C4—798no—
1232C22⋊C4—794no—
1233C22⋊C4—794no—
1234C22⋊C4—798no—
1235C22⋊C4—792no—
1236C22⋊C4—794no—
1237C22⋊C4—798no—
1238C22⋊C4—798no—
1239C22⋊C4—798no—
1240C22⋊C4—798no—
1241C22⋊C4—798no—
1242C22⋊C4—798no—
1243C22⋊C4—798no—
1244C22⋊C4—794no—
1245C22⋊C4—794no—
1246C22⋊C4—798no—
1247C22⋊C4—798no—
1248C22⋊C4C23×D7914yes—
1249C22⋊C4C23×D7918yes—
1250C22⋊C4C23×D7918yes—
1251C22⋊C4C23×D7918yes—
1252C22⋊C4C23×D7914yes—
1253C22⋊C4C23×D7914yes—
1254C22⋊C4C23×D7918yes—
1255C22⋊C4C23×D7912yes—
1256C42—791no—
1257C42—791no—
1258C42—792no—
1259C42—792no—
1260C42—791no—
1261C42—792no—
1262C42—792no—
1263C42—792no—
1264C42—792no—
1265C42—791no—
1266C42—792no—
1267C42—794no—
1268C42—794no—
1269C42—798no—
1270C42—794no—
1271C42C23×D7912yes—
1272C42C23×D7914yes—
1273C23—24no—
1274C23—28no—
1275C23—41no—
1276C23—44no—
1277C23—44no—
1278C23—48no—
1279C23—44no—
1280C23—3164no—
1281C23—3164no—
1282C23—3168no—
1283C23—3168no—
1284C23—3168no—
1285C23—3164no—
1286C23—3168no—
1287C23—792no—
1288C23—798no—
1289C23—1588no—
1290C23C24×D7912yes—
1291C23C24×D7918yes—
1292C23C24×D7911yescharacteristic
1293C23C24×D7912yes—
1294Q8—41no—
1295Q8—3168no—
1296Q8—3161no—
1297Q8—15816no—
1298Q8—1588no—
1299D4—28no—
1300D4—216no—
1301D4—28no—
1302D4—48no—
1303D4—48no—
1304D4—44no—
1305D4—44no—
1306D4—48no—
1307D4—41no—
1308D4—42no—
1309D4—3168no—
1310D4—3168no—
1311D4—3164no—
1312D4—3164no—
1313D4—3161no—
1314D4—3168no—
1315D4—3168no—
1316D4—3168no—
1317D4—3168no—
1318D4—3168no—
1319D4—3168no—
1320D4—3168no—
1321D4—3162no—
1322D4—1588no—
1323D4—15816no—
1324D4—15816no—
1325D4—15816no—
1326D4—1588no—
1327D4—15816no—
1328D4—1588no—
1329C2×C4—24no—
1330C2×C4—22no—
1331C2×C4—24no—
1332C2×C4—41no—
1333C2×C4—42no—
1334C2×C4—44no—
1335C2×C4—48no—
1336C2×C4—3168no—
1337C2×C4—3168no—
1338C2×C4—3168no—
1339C2×C4—3164no—
1340C2×C4—3168no—
1341C2×C4—3168no—
1342C2×C4—798no—
1343C2×C4—792no—
1344C2×C4—792no—
1345C2×C4—792no—
1346C2×C4—792no—
1347C2×C4—792no—
1348C2×C4—798no—
1349C2×C4—794no—
1350C2×C4—15816no—
1351C2×C4—1588no—
1352C2×C4—1584no—
1353C2×C4—15816no—
1354C2×C4—1584no—
1355C2×C4—1584no—
1356C2×C4—1584no—
1357C2×C4—1588no—
1358C2×C4—1584no—
1359C2×C4—1584no—
1360C2×C4C24×D7912yes—
1361C2×C4C24×D7911yescharacteristic
1362C2×C4C24×D7912yes—
1363C2×C4C24×D7918yes—
1364C2×C4C24×D7914yes—
1365C2×C4C24×D7911yescharacteristic
1366C22—22no—
1367C22—22no—
1368C22—28no—
1369C22—28no—
1370C22—22no—
1371C22—24no—
1372C22—21no—
1373C22—22no—
1374C22—28no—
1375C22—44no—
1376C22—88no—
1377C22—164no—
1378C22—6328no—
1379C22—1588no—
1380C22—1588no—
1381C22—1584no—
1382C22—1582no—
1383C22—1588no—
1384C22—12648no—
1385C22—12644no—
1386C22H(5,𝔽2)×D7914yes—
1387C22C25×D7911yescharacteristic
1388C4—24no—
1389C4—28no—
1390C4—22no—
1391C4—21no—
1392C4—22no—
1393C4—794no—
1394C4—794no—
1395C4—1582no—
1396C4—1584no—
1397C4—1588no—
1398C4—1582no—
1399C4—1582no—
1400C4#1909939812yes—
1401C2—24no—
1402C2—41no—
1403C2—48no—
1404C2—42no—
1405C2—3168no—
1406C2—3162no—
1407C2C2×H(5,𝔽2)×D7912yes—
1408C2C2×#1909939811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3537C2
hypercenter#3537D79
hypocenterC79#62834
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3537

Complements

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

NH ≅ G/Ntype
1. #23777921C2semidirect
2. #23777912C2semidirect
3. #23777803C2semidirect
4. #23777794C2semidirect
5. #23777763C2semidirect
6. #23777639C2semidirect
7. #23777635C2semidirect
8. #23777428C2semidirect
9. #23777419C2semidirect
10. #23777302C2semidirect
11. #23777275C2semidirect
12. #23777272C2semidirect
13. #23777247C2semidirect
14. #23777172C2semidirect
15. #23777161C2semidirect
16. #23777060C2semidirect
17. #23776692C2semidirect
18. C2×#19099108C2semidirect
19. C79×#3537C2semidirect
20. C2×#14579206C22semidirect
21. C22×#11929623C22semidirect
22. #19099310C22semidirect
23. #19099306C22semidirect
24. #19099305C22semidirect
25. #19099303C22semidirect
26. #19099301C22semidirect
27. #19099297C22semidirect
28. #19099295C22semidirect
29. #19099280C22semidirect
30. #19099277C22semidirect
31. #19099276C22semidirect
32. #19099275C22semidirect
33. #19099272C22semidirect
34. #19099269C22semidirect
35. #19099265C22semidirect
36. #19099264C22semidirect
37. #19099261C22semidirect
38. #19099259C22semidirect
39. #19099256C22semidirect
40. #19099234C22semidirect
41. #19099233C22semidirect
42. #19099233C22semidirect
43. #19099231C22semidirect
44. #19099231C22semidirect
45. #19099222C22semidirect
46. #19099219C22semidirect
47. #19099211C22semidirect
48. #19099211C22semidirect
49. #19099208C22semidirect
50. #19099207C22semidirect
51. #19099205C22semidirect
52. #19099205C22semidirect
53. #19099202C22semidirect
54. #19099202C22semidirect
55. #19099200C22semidirect
56. #19099200C22semidirect
57. #19099200C22semidirect
58. #19099200C22semidirect
59. D4×D316C22semidirect
60. #19099197C22semidirect
61. #19099197C22semidirect
62. D4×C22⋊D79C22semidirect
63. D4×C22⋊D79C22semidirect
64. D4×C22⋊D79C22semidirect
65. D4×C22⋊D79C22semidirect
66. #19099195C22semidirect
67. #19099195C22semidirect
68. #19099195C22semidirect
69. #19099195C22semidirect
70. #19099181C22semidirect
71. #19099179C22semidirect
72. #19099169C22semidirect
73. #19099168C22semidirect
74. #19099167C22semidirect
75. #19099166C22semidirect
76. #19099166C22semidirect
77. #19099153C22semidirect
78. #19099152C22semidirect
79. #19099151C22semidirect
80. #19099150C22semidirect
81. #19099150C22semidirect
82. #19099149C22semidirect
83. #19099148C22semidirect
84. #19099142C22semidirect
85. #19099140C22semidirect
86. #19099140C22semidirect
87. #19099129C22semidirect
88. #19099129C22semidirect
89. #19099128C22semidirect
90. #19099128C22semidirect
91. #19099128C22semidirect
92. #19099127C22semidirect
93. #19099126C22semidirect
94. #19099125C22semidirect
95. #19099121C22semidirect
96. #19099121C22semidirect
97. #19099119C22semidirect
98. #19099116C22semidirect
99. #19099116C22semidirect
100. #19099115C22semidirect
101. #19099110C22semidirect
102. #19099109C22semidirect
103. #19099108C22semidirect
104. #19099108C22semidirect
105. #19099108C22semidirect
106. #19099108C22semidirect
107. #19099108C22semidirect
108. #19099108C22semidirect
109. #19099108C22semidirect
110. #19099108C22semidirect
111. #19099108C22semidirect
112. #19099108C22semidirect
113. C2×#14579160C22semidirect
114. C2×#14579157C22semidirect
115. C2×#14579157C22semidirect
116. #127×D79C22semidirect
117. #19099099C22semidirect
118. #19099094C22semidirect
119. #19099093C22semidirect
120. #19099090C22semidirect
121. C2×#14579147C22semidirect
122. #19099074C22semidirect
123. #19099072C22semidirect
124. #19099069C22semidirect
125. #19099069C22semidirect
126. C2×#14579135C22semidirect
127. C2×#14579133C22semidirect
128. C2×#14579133C22semidirect
129. #121×D79C22semidirect
130. #19099042C22semidirect
131. #19099038C22semidirect
132. #19099037C22semidirect
133. #19099035C22semidirect
134. #41×Dic79C22semidirect
135. #19099031C22semidirect
136. C4×#11929623C22semidirect
137. C2×D4×Dic79C22semidirect
138. C2×#14579123C22semidirect
139. C2×(C22⋊D79)⋊C4C22semidirect
140. C22×C4×Dic79C22semidirect
141. #560×C79C22semidirect
142. #553×C79C22semidirect
143. D42×C79C22semidirect
144. D42×C79C22semidirect
145. #540×C79C22semidirect
146. #538×C79C22semidirect
147. #535×C79C22semidirect
148. #534×C79C22semidirect
149. #525×C79C22semidirect
150. C2×#121×C79C22semidirect
637. C2×Dic79H(5,𝔽2)semidirect
712. #3537D79semidirect
724. C79#62834semidirect
732. #560C2×D79semidirect
746. #553C2×D79semidirect
777. D42C2×D79semidirect
778. D42C2×D79semidirect
786. #540C2×D79semidirect
794. #538C2×D79semidirect
805. #535C2×D79semidirect
809. #534C2×D79semidirect
839. #525C2×D79semidirect
844. C2×#121C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779212
#237779122
#237778032
#237777942
#237777632
#237776392
#237776352
#237774282
#237774192
#237773022
#237772752
#237772722
#237772472
#237771722
#237771612
#237770602
#237766922
C2×#190991082
C79×#35372
#6283479