Finite Group Databasebeta

← #35196856

Subgroups — #35196856

Order 20224.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777324C211yesmaximal, characteristic, complemented
2#23777322C211yesmaximal, characteristic, complemented
3#23777320C211yesmaximal, characteristic, complemented
4#23777309C212yesmaximal, complemented
5#23777303C212yesmaximal, complemented
6#23777289C214yesmaximal, complemented
7#23777282C212yesmaximal, complemented
8#23777272C212yesmaximal, complemented
9#23777259C214yesmaximal, complemented
10#23777246C214yesmaximal, complemented
11#23777233C218yesmaximal, complemented
12#23776994C218yesmaximal, complemented
13#23776959C214yesmaximal, complemented
14#23776953C214yesmaximal, complemented
15#23776791C212yesmaximal, complemented
16#23776784C212yesmaximal, complemented
17#23776728C212yesmaximal, complemented
18#23776694C214yesmaximal, complemented
19C2×#19099119C211yesmaximal, characteristic, complemented
20#532×D79C211yesmaximal, characteristic, complemented
21#23776600C212yesmaximal, complemented
22C4×#41×D79C211yesmaximal, characteristic, complemented
23C79×#3512C211yesmaximal, characteristic, complemented
24C2×#41×D79C2211yescharacteristic
25C2×#41×D79C2212yes—
26#19099297C2218yescomplemented
27#19099297C2218yescomplemented
28#19099296C2218yescomplemented
29#19099290C2218yescomplemented
30#19099284C2214yescomplemented
31#19099281C2218yescomplemented
32#19099281C2214yescomplemented
33#19099280C2218yescomplemented
34#19099280C2218yescomplemented
35#19099277C2214yescomplemented
36#19099276C2214yescomplemented
37#19099271C2214yescomplemented
38#19099268C2214yescomplemented
39#19099266C2214yescomplemented
40#19099263C2214yescomplemented
41#19099262C2218yescomplemented
42#19099262C2218yescomplemented
43#19099261C2218yescomplemented
44#19099259C2214yescomplemented
45#19099256C2218yescomplemented
46#19099256C2218yescomplemented
47#19099254C2214yescomplemented
48#19099253C2214yescomplemented
49#19099251C2214yescomplemented
50#19099249C2218yescomplemented
51#19099245C2218yescomplemented
52#19099242C2218yescomplemented
53#19099241C2218yescomplemented
54#19099238C2218yescomplemented
55#19099237C2218yescomplemented
56#19099231C2218yescomplemented
57#19099222C2218yescomplemented
58#19099219C2218yescomplemented
59#19099214C2214yescomplemented
60#19099213C2214yescomplemented
61#19099205C2218yescomplemented
62#19099202C2218yescomplemented
63#19099186C2214yescomplemented
64#19099185C2214yescomplemented
65#19099180C2214yescomplemented
66#19099178C2214yescomplemented
67#19099176C2212yescomplemented
68#19099175C2212yescomplemented
69#19099174C2212yescomplemented
70#19099169C2212yescomplemented
71#19099168C2212yescomplemented
72#19099167C2212yescomplemented
73#19099161C2218yescomplemented
74#19099156C2218yescomplemented
75#19099152C2218yescomplemented
76#19099145C2218yescomplemented
77#19099144C2212yescomplemented
78#19099141C2212yescomplemented
79#19099141C2212yescomplemented
80#19099136C2214yes—
81#19099136C2214yescomplemented
82#19099129C2214yes—
83#19099129C2214yescomplemented
84#19099121C2218yes—
85#19099119C2212yescomplemented
86#19099119C2212yescomplemented
87#19099119C2212yescomplemented
88#19099119C2212yescomplemented
89#19099119C2214yescomplemented
90#19099119C2214yescomplemented
91#19099117C2214yescomplemented
92#19099115C2214yescomplemented
93#19099114C2211yescharacteristic
94#19099113C2211yescharacteristic, complemented
95#19099112C2212yes—
96#19099111C2211yescharacteristic
97#19099110C2214yes—
98#19099110C2214yescomplemented
99#19099109C2212yescomplemented
100#19099108C2214yescomplemented
101#19099108C2214yescomplemented
102#19099108C2218yescomplemented
103C2×#14579160C2212yescomplemented
104C4⋊Q8×D79C2211yescharacteristic, complemented
105#127×D79C2211yescharacteristic, complemented
106#19099098C2214yescomplemented
107#19099098C2218yescomplemented
108#19099097C2214yescomplemented
109#19099096C2218yescomplemented
110#19099096C2218yescomplemented
111#19099096C2218yescomplemented
112#19099094C2218yescomplemented
113#19099092C2214yescomplemented
114#19099091C2218yescomplemented
115#19099090C2218yescomplemented
116#19099090C2218yescomplemented
117C2×#14579153C2211yescharacteristic, complemented
118#124×D79C2212yescomplemented
119#19099076C2214yes—
120#19099076C2214yescomplemented
121#19099073C2214yes—
122#19099073C2214yescomplemented
123#19099072C2218yescomplemented
124#19099071C2218yescomplemented
125C2×#14579139C2214yes—
126#121×D79C2214yes—
127#19099046C2212yescomplemented
128#19099044C2212yescomplemented
129#19099044C2214yescomplemented
130#19099043C2212yescomplemented
131#19099043C2214yescomplemented
132#19099039C2214yescomplemented
133#19099035C2218yes—
134#19099035C2214yescomplemented
135#41×Dic79C2211yescharacteristic, complemented
136C4×#11929625C2212yes—
137C4×#11929625C2214yescomplemented
138C4×#11929624C2212yes—
139C4×#11929624C2211yescharacteristic, complemented
140#19099031C2212yes—
141#19099031C2211yescharacteristic, complemented
142#19099031C2218yescomplemented
143C4×#11929623C2212yes—
144C4×#11929623C2214yescomplemented
145C4×#11929623C2214yescomplemented
146C4×#11929623C2218yescomplemented
147C4×#11929623C2218yescomplemented
148C2×#14579126C2214yescomplemented
149C4×Q8×D79C2212yescomplemented
150C4×D4×D79C2214yes—
151C4×D4×D79C2212yescomplemented
152C4×D4×D79C2214yescomplemented
153C2×#14579119C2212yes—
154C2×#14579119C2214yescomplemented
155#117×D79C2211yescharacteristic
156#117×D79C2212yescomplemented
157#117×D79C2214yescomplemented
158C2×C42×D79C2211yescharacteristic
159C2×C42×D79C2212yescomplemented
160#553×C79C2214yescomplemented
161#553×C79C2218yescomplemented
162#552×C79C2214yescomplemented
163#541×C79C2212yescomplemented
164#540×C79C2212yescomplemented
165#537×C79C2212yescomplemented
166#532×C79C2211yescharacteristic, complemented
167#529×C79C2214yescomplemented
168C2×#125×C79C2211yescharacteristic, complemented
169#520×C79C2212yescomplemented
170C4×#41×C79C2211yescharacteristic, complemented
171C2×#11929625C2311yescharacteristic
172C2×#11929625C2312yes—
173C2×#11929624C2312yes—
174C2×#11929624C2314yes—
175C2×#11929624C2311yescharacteristic
176C2×#11929624C2312yes—
177C2×#11929624C2318yes—
178C2×#11929623C2311yescharacteristic
179C2×#11929623C2312yes—
180C2×#11929623C2312yes—
181C2×#11929623C2314yes—
182C2×#11929623C2318yes—
183#41×D79—28no—
184#41×D79—216no—
185C22×Dic158C2314yes—
186C2×Q8×D79C2312yes—
187C2×Q8×D79C2311yescharacteristic
188C2×D4×D79C2312yes—
189C2×D4×D79C2311yescharacteristic
190C2×D4×D79C2314yes—
191C2×D4×D79C2312yes—
192C2×D4×D79C2314yes—
193C22×C4×D79C2312yes—
194C22×C4×D79C2314yes—
195C22×C4×D79C2312yes—
196C22×C4×D79C2314yes—
197C22×C4×D79C2311yescharacteristic
198#14579161C2311yescharacteristic
199#14579160C2318yes—
200#14579160C2314yes—
201#14579160C2314yes—
202#14579160C2314yes—
203#14579160C2314yes—
204#14579160C2314yes—
205#14579159C2312yes—
206#14579158C2311yescharacteristic
207#14579157C2318yes—
208#14579157C2314yes—
209#14579157C2312yes—
210#14579156C2318yes—
211#14579156C2318yes—
212#14579156C2318yes—
213#14579156C2318yes—
214#14579155C2318yes—
215#14579155C2318yes—
216#14579154C2318yes—
217#14579154C2318yes—
218#14579154C2318yes—
219#14579154C2318yes—
220#14579153C2312yes—
221#14579153C2314yes—
222#14579153C2312yes—
223#14579152C2318yes—
224#14579151C2318yes—
225#14579151C2318yes—
226#14579151C2318yes—
227#14579151C2318yes—
228#14579150C2312yes—
229#14579149C2318yes—
230#14579149C2312yes—
231#14579148C2318yes—
232#14579148C2312yes—
233#14579147C2318yes—
234#14579147C2318yes—
235#14579147C2318yes—
236#14579147C2318yes—
237#14579147C2318yes—
238#14579147C2318yes—
239#14579147C2314yes—
240#14579147C2314yes—
241#14579146C2318yes—
242#14579146C2318yes—
243#14579146C2318yes—
244#14579146C2318yes—
245#14579146C2318yes—
246#14579146C2318yes—
247#14579144C2318yes—
248#14579144C2318yes—
249#14579143C2318yes—
250#14579143C2318yes—
251#14579143C2318yes—
252#14579143C2318yes—
253#14579142C2318yes—
254#14579142C2318yes—
255#14579141C2314yes—
256#14579141C2314yes—
257#14579141C2318yes—
258#14579140C2314yes—
259#14579140C2314yes—
260#14579140C2318yes—
261#14579139C2318yes—
262#14579139C2318yes—
263#14579139C2318yes—
264#14579139C2318yes—
265#14579139C2318yes—
266#14579139C2318yes—
267#14579138C2318yes—
268#14579138C2318yes—
269#14579137C2314yes—
270#14579137C2314yes—
271#14579136C2314yes—
272#14579136C2314yes—
273#14579136C2314yes—
274#14579136C2318yes—
275#14579135C2314yes—
276#14579135C2314yes—
277#14579135C2318yes—
278#14579135C2314yes—
279#14579134C2318yes—
280#14579134C2318yes—
281#14579134C2314yes—
282#14579134C2314yes—
283#14579133C2318yes—
284#14579133C2318yes—
285#14579133C2318yes—
286#14579133C2318yes—
287#14579133C2314yes—
288#14579133C2314yes—
289#14579132C2314yes—
290#14579132C2314yes—
291#14579132C2314yes—
292#14579131C2318yes—
293#14579131C2318yes—
294#14579129C2318yes—
295#14579129C2318yes—
296Q8×Dic79C2314yes—
297Q8×Dic79C2312yes—
298C4×Dic158C2314yes—
299C4×Dic158C2318yes—
300C4×Dic158C2312yes—
301C4×Dic158C2314yes—
302C4×Dic158C2318yes—
303#14579126C2314yes—
304#14579126C2318yes—
305#14579126C2318yes—
306#14579126C2312yes—
307#14579126C2318yes—
308#14579126C2318yes—
309#14579126C2314yes—
310#14579126C2318yes—
311#14579126C2318yes—
312C4×D316C2318yes—
313C4×D316C2314yes—
314C4×D316C2314yes—
315C4×D316C2314yes—
316C4×D316C2312yes—
317D4×Dic79C2314yes—
318D4×Dic79C2312yes—
319D4×Dic79C2314yes—
320D4×Dic79C2318yes—
321D4×Dic79C2314yes—
322D4×Dic79C2318yes—
323#14579123C2318yes—
324#14579123C2314yes—
325#14579123C2314yes—
326#14579123C2312yes—
327#14579123C2318yes—
328#14579123C2314yes—
329#14579123C2318yes—
330C4×C22⋊D79C2318yes—
331C4×C22⋊D79C2318yes—
332C4×C22⋊D79C2314yes—
333C4×C22⋊D79C2314yes—
334C4×C22⋊D79C2318yes—
335C4×C22⋊D79C2318yes—
336C4×C22⋊D79C2314yes—
337C4×C22⋊D79C2318yes—
338C4×C22⋊D79C2314yes—
339C4×C22⋊D79C2314yes—
340(C22⋊D79)⋊C4C2318yes—
341(C22⋊D79)⋊C4C2314yes—
342(C22⋊D79)⋊C4C2318yes—
343(C22⋊D79)⋊C4C2314yes—
344(C22⋊D79)⋊C4C2318yes—
345(C22⋊D79)⋊C4C2314yes—
346(C22⋊D79)⋊C4C2318yes—
347(C22⋊D79)⋊C4C2318yes—
348(C22⋊D79)⋊C4C2314yes—
349(C22⋊D79)⋊C4C2314yes—
350(C22⋊D79)⋊C4C2318yes—
351(C22⋊D79)⋊C4C2318yes—
352#14579120C2312yes—
353#14579120C2314yes—
354#14579120C2311yescharacteristic
355#14579119C2314yes—
356#14579119C2314yes—
357#14579119C2318yes—
358#14579119C2318yes—
359#14579119C2314yes—
360#14579119C2314yes—
361#14579119C2312yes—
362#14579119C2314yes—
363#14579119C2314yes—
364#14579119C2314yes—
365#14579119C2318yes—
366#14579118C2312yes—
367#14579118C2312yes—
368#14579118C2318yes—
369#14579118C2318yes—
370#14579118C2318yes—
371#14579118C2312yes—
372#14579117C2318yes—
373#14579117C2318yes—
374#14579117C2312yes—
375#14579117C2314yes—
376#14579117C2318yes—
377C2×C4⋊Dic79C2312yes—
378C2×C4⋊Dic79C2314yes—
379C2×Dic79⋊C4C2314yes—
380C2×Dic79⋊C4C2314yes—
381C4⋊C4×D79C2314yes—
382C4⋊C4×D79C2314yes—
383C4⋊C4×D79C2314yes—
384C4⋊C4×D79C2314yes—
385C4⋊C4×D79C2312yes—
386C2×(C2×D79)⋊C4C2318yes—
387C2×(C2×D79)⋊C4C2314yes—
388C22⋊C4×D79C2314yes—
389C22⋊C4×D79C2318yes—
390C22⋊C4×D79C2314yes—
391C22⋊C4×D79C2314yes—
392C22⋊C4×D79C2312yes—
393C2×C4×Dic79C2312yes—
394C2×C4×Dic79C2311yescharacteristic
395C2×C4×Dic79C2314yes—
396C2×C4×Dic79C2312yes—
397C2×C4×Dic79C2314yes—
398C2×C4×Dic79C2318yes—
399C42×D79C2311yescharacteristic
400C42×D79C2311yescharacteristic
401C42×D79C2312yes—
402C42×D79C2312yes—
403C42×D79C2311yescharacteristic
404C42×D79C2311yescharacteristic
405C42×D79C2312yes—
406C42×D79C2314yes—
407C42×D79C2314yes—
408C42×D79C2312yes—
409C42×D79C2312yes—
410C42×D79C2318yes—
411C2×#41×C79C2311yescharacteristic
412C2×#41×C79C2312yes—
413C4⋊Q8×C79C2311yescharacteristic
414#127×C79C2311yescharacteristic
415#126×C79C2318yes—
416#126×C79C2318yes—
417#125×C79C2318yes—
418#125×C79C2312yes—
419#125×C79C2312yes—
420#125×C79C2314yes—
421#124×C79C2312yes—
422#123×C79C2318yes—
423#123×C79C2318yes—
424C22⋊Q8×C79C2314yes—
425C22⋊Q8×C79C2314yes—
426#121×C79C2318yes—
427#121×C79C2314yes—
428#121×C79C2314yes—
429#121×C79C2318yes—
430#121×C79C2314yes—
431C4×Q8×C79C2314yes—
432C4×Q8×C79C2312yes—
433C4×D4×C79C2314yes—
434C4×D4×C79C2318yes—
435C4×D4×C79C2314yes—
436C4×D4×C79C2312yes—
437C4×D4×C79C2318yes—
438C4×D4×C79C2314yes—
439#117×C79C2312yes—
440#117×C79C2311yescharacteristic
441#117×C79C2318yes—
442#117×C79C2314yes—
443C2×C4⋊C4×C79C2312yes—
444C2×C4⋊C4×C79C2314yes—
445C2×C4⋊C4×C79C2314yes—
446C2×C42×C79C2311yescharacteristic
447C2×C42×C79C2312yes—
448C23×D79C2414yes—
449C23×D79C2412yes—
450C23×D79C2411yescharacteristic
451#11929625—24no—
452#11929625—28no—
453#11929624—28no—
454#11929624—216no—
455#11929624—24no—
456#11929624—28no—
457#11929624—416no—
458#11929623—28no—
459#11929623—216no—
460#11929623—24no—
461#11929623—28no—
462#11929623—416no—
463C2×Dic158—48no—
464C2×Dic158C2411yescharacteristic
465C2×Dic158C2412yes—
466C2×Dic158C2414yes—
467C2×Dic158C2412yes—
468C2×Dic158C2418yes—
469C2×Dic158C2418yes—
470Q8×D79—28no—
471Q8×D79—24no—
472C2×D316C2412yes—
473C2×D316C2414yes—
474C2×D316C2411yescharacteristic
475C2×D316C2412yes—
476C2×D316C2418yes—
477C2×D316C2414yes—
478C2×C22⋊D79C2414yes—
479C2×C22⋊D79C2412yes—
480C2×C22⋊D79C2414yes—
481C2×C22⋊D79C2412yes—
482C2×C22⋊D79C2414yes—
483C2×C22⋊D79C2412yes—
484C2×C22⋊D79C2414yes—
485C2×C22⋊D79C2414yes—
486C2×C22⋊D79C2418yes—
487C2×C22⋊D79C2418yes—
488D4×D79—24no—
489D4×D79—28no—
490D4×D79—28no—
491D4×D79—216no—
492D4×D79—48no—
493C22×Dic79C2412yes—
494C22×Dic79C2412yes—
495C22×Dic79C2414yes—
496C22×Dic79C2414yes—
497C22×Dic79C2414yes—
498C22×Dic79C2418yes—
499C22×Dic79C2411yescharacteristic
500C2×C4×D79—28no—
501C2×C4×D79—216no—
502C2×C4×D79—44no—
503C2×C4×D79—48no—
504C2×C4×D79#4118yescomplemented
505C2×C4×D79C2412yes—
506C2×C4×D79C2414yes—
507C2×C4×D79C2412yes—
508C2×C4×D79C2414yes—
509C2×C4×D79C2414yes—
510C2×C4×D79C2412yes—
511C2×C4×D79C2414yes—
512C2×C4×D79C2412yes—
513C2×C4×D79C2412yes—
514C2×C4×D79C2418yes—
515C2×C4×D79C2418yes—
516C2×C4×D79C2412yes—
517C2×C4×D79C2414yes—
518C2×C4×D79C2412yes—
519C2×C4×D79C2414yes—
520C2×C4×D79C2411yescharacteristic
521C2×C4×D79C2411yescharacteristic
522C2×C4×D79C2411yescharacteristic
523C2×C4×D79C2411yescharacteristic
524C4⋊Dic79C2412yes—
525C4⋊Dic79C2414yes—
526C4⋊Dic79C2414yes—
527C4⋊Dic79C2414yes—
528C4⋊Dic79C2414yes—
529C4⋊Dic79C2418yes—
530C4⋊Dic79C2418yes—
531Dic79⋊C4C2414yes—
532Dic79⋊C4C2414yes—
533Dic79⋊C4C2418yes—
534Dic79⋊C4C2414yes—
535Dic79⋊C4C2414yes—
536Dic79⋊C4C2418yes—
537Dic79⋊C4C2414yes—
538Dic79⋊C4C2418yes—
539Dic79⋊C4C2418yes—
540Dic79⋊C4C2418yes—
541Dic79⋊C4C2418yes—
542Dic79⋊C4C2418yes—
543Dic79⋊C4C2418yes—
544C22⋊Dic79C2412yes—
545C22⋊Dic79C2418yes—
546C22⋊Dic79C2414yes—
547C22⋊Dic79C2414yes—
548C22⋊Dic79C2414yes—
549C22⋊Dic79C2418yes—
550C22⋊Dic79C2418yes—
551(C2×D79)⋊C4C2414yes—
552(C2×D79)⋊C4C2418yes—
553(C2×D79)⋊C4C2414yes—
554(C2×D79)⋊C4C2414yes—
555(C2×D79)⋊C4C2414yes—
556(C2×D79)⋊C4C2414yes—
557(C2×D79)⋊C4C2414yes—
558(C2×D79)⋊C4C2414yes—
559(C2×D79)⋊C4C2418yes—
560(C2×D79)⋊C4C2418yes—
561(C2×D79)⋊C4C2418yes—
562(C2×D79)⋊C4C2418yes—
563(C2×D79)⋊C4C2418yes—
564(C2×D79)⋊C4C2418yes—
565(C2×D79)⋊C4C2418yes—
566C4×Dic79C2414yes—
567C4×Dic79C2412yes—
568C4×Dic79C2411yescharacteristic
569C4×Dic79C2414yes—
570C4×Dic79C2412yes—
571C4×Dic79C2412yes—
572C4×Dic79C2411yescharacteristic
573C4×Dic79C2414yes—
574C4×Dic79C2414yes—
575C4×Dic79C2412yes—
576C4×Dic79C2412yes—
577C4×Dic79C2412yes—
578C4×Dic79C2418yes—
579C4×Dic79C2418yes—
580C4×Dic79C2418yes—
581C4×Dic79C2418yes—
582C4×Dic79C2418yes—
583#41×C79—24no—
584#41×C79—28no—
585C2×Q8×C79C2411yescharacteristic
586C2×Q8×C79C2412yes—
587C2×D4×C79C2411yescharacteristic
588C2×D4×C79C2414yes—
589C2×D4×C79C2412yes—
590C2×D4×C79C2412yes—
591C2×D4×C79C2418yes—
592C2×D4×C79C2414yes—
593C22×C4×C79C2412yes—
594C22×C4×C79C2414yes—
595C22×C4×C79C2414yes—
596C22×C4×C79C2418yes—
597C22×C4×C79C2412yes—
598C22×C4×C79C2414yes—
599C22×C4×C79C2411yescharacteristic
600C4⋊C4×C79C2412yes—
601C4⋊C4×C79C2414yes—
602C4⋊C4×C79C2418yes—
603C4⋊C4×C79C2414yes—
604C4⋊C4×C79C2418yes—
605C4⋊C4×C79C2418yes—
606C4⋊C4×C79C2414yes—
607C4⋊C4×C79C2418yes—
608C4⋊C4×C79C2414yes—
609C22⋊C4×C79C2414yes—
610C22⋊C4×C79C2412yes—
611C22⋊C4×C79C2414yes—
612C22⋊C4×C79C2418yes—
613C22⋊C4×C79C2418yes—
614C22⋊C4×C79C2414yes—
615C22⋊C4×C79C2418yes—
616C42×C79C2411yescharacteristic
617C42×C79C2412yes—
618C42×C79C2414yes—
619C42×C79C2411yescharacteristic
620C42×C79C2412yes—
621C42×C79C2418yes—
622C23×C79C2514yes—
623C23×C79C2512yes—
624C23×C79C2511yescharacteristic
625C22×D79—24no—
626C22×D79—28no—
627C22×D79—42no—
628C22×D79—44no—
629C22×D79—44no—
630C22×D79—44no—
631C22×D79C2×#4114yes—
632C22×D79C2514yes—
633C22×D79C2512yes—
634C22×D79C2511yescharacteristic
635C22×D79C2511yescharacteristic
636Q8×C79—22no—
637Q8×C79—24no—
638D4×C79—24no—
639D4×C79—28no—
640D4×C79—22no—
641D4×C79—24no—
642D4×C79—44no—
643D4×C79—48no—
644C2×C4×C79—28no—
645C2×C4×C79—24no—
646C2×C4×C79—44no—
647C2×C4×C79—42no—
648C2×C4×C79—44no—
649C2×C4×C79—48no—
650C2×C4×C79C2×#4114yes—
651C2×C4×C79C2514yes—
652C2×C4×C79C2512yes—
653C2×C4×C79C2518yes—
654C2×C4×C79C2512yes—
655C2×C4×C79C2514yes—
656C2×C4×C79C2512yes—
657C2×C4×C79C2511yescharacteristic
658C2×C4×C79C2511yescharacteristic
659C22⋊D79—24no—
660C22⋊D79—28no—
661C22⋊D79—28no—
662C22⋊D79—24no—
663C22⋊D79—24no—
664C22⋊D79—28no—
665C22⋊D79—28no—
666C22⋊D79—28no—
667C22⋊D79—48no—
668C22⋊D79—48no—
669C2×Dic79—24no—
670C2×Dic79—28no—
671C2×Dic79—24no—
672C2×Dic79—28no—
673C2×Dic79—44no—
674C2×Dic79—48no—
675C2×Dic79C2×#4114yes—
676C2×Dic79C2514yes—
677C2×Dic79C2512yes—
678C2×Dic79C2518yes—
679C2×Dic79C2512yes—
680C2×Dic79C2514yes—
681C2×Dic79C2511yescharacteristic
682C2×Dic79C2511yescharacteristic
683C2×Dic79C2512yes—
684D316—28no—
685D316—24no—
686D316—22no—
687D316—24no—
688D316—44no—
689D316—48no—
690C4×D79—24no—
691C4×D79—28no—
692C4×D79—28no—
693C4×D79—24no—
694C4×D79—24no—
695C4×D79—28no—
696C4×D79—24no—
697C4×D79—24no—
698C4×D79—28no—
699C4×D79—42no—
700C4×D79—42no—
701C4×D79—44no—
702C4×D79—44no—
703C4×D79—48no—
704C4×D79—48no—
705C4×D79C2×#4114yes—
706C4×D79C2×#4114yes—
707C4×D79C2×#4114yes—
708C4×D79C2×#4114yes—
709Dic158—22no—
710Dic158—24no—
711Dic158—28no—
712Dic158—24no—
713Dic158—216no—
714Dic158—48no—
715C22×C79—22no—
716C22×C79—22no—
717C22×C79—24no—
718C22×C79—24no—
719C22×C79—24no—
720C22×C79—24no—
721C22×C79C22×#4112yes—
722C22×C79C2611yescharacteristic
723C2×D79—22no—
724C2×D79—22no—
725C2×D79—22no—
726C2×D79—24no—
727C2×D79—24no—
728C2×D79—24no—
729C2×D79—24no—
730C2×D79—44no—
731C2×D79—48no—
732C2×D79—88no—
733C2×D79C22×#4112yes—
734C2×D79C22×#4112yes—
735C4×C79—24no—
736C4×C79—22no—
737C4×C79—22no—
738C4×C79—24no—
739C4×C79—28no—
740C4×C79—22no—
741C4×C79C22×#4112yes—
742C4×C79C22×#4112yes—
743Dic79—24no—
744Dic79—22no—
745Dic79—28no—
746Dic79—22no—
747Dic79—24no—
748Dic79C22×#4112yes—
749Dic79C22×#4112yes—
750Dic79#58514yes—
751#62815—791nomaximal, Sylow
752C2×C79—22no—
753C2×C79—42no—
754C2×C79—44no—
755C2×C79C23×#4111yescharacteristic
756C2×C79C2×#58512yes—
757D79—22no—
758D79—22no—
759D79—42no—
760D79—44no—
761#3512—791no—
762#3512—791no—
763#3512—791no—
764#3512D7911yescharacteristic, complemented
765#3511—792no—
766#3511—792no—
767#3510—794no—
768#3509—792no—
769#3508—792no—
770#3507—794no—
771#3506—794no—
772#3505—798no—
773#3480—798no—
774#3475—794no—
775#3475—794no—
776#3455—792no—
777#3455—792no—
778#3449—792no—
779#3444—794no—
780C2×#533—791no—
781C2×#532—791no—
782#3428—792no—
783C2×C4×#41—791no—
784C79#6281511yescharacteristic, complemented, Sylow
785C22×#41—791no—
786C22×#41—792no—
787#559—798no—
788#559—798no—
789#559—798no—
790#557—798no—
791#556—798no—
792#556—798no—
793#556—794no—
794#556—794no—
795#556—798no—
796#555—794no—
797#555—794no—
798#554—794no—
799#554—794no—
800#553—794no—
801#553—798no—
802#553—798no—
803#553—794no—
804#553—798no—
805#553—798no—
806#553—794no—
807#553—798no—
808#553C2×D7914yescomplemented
809#553C2×D7918yescomplemented
810#552—798no—
811#552—798no—
812#552—794no—
813#552—794no—
814#552—794no—
815#552C2×D7914yescomplemented
816#551—798no—
817#551—798no—
818#551—798no—
819#551—798no—
820#550—798no—
821#548—798no—
822#548—798no—
823#547—794no—
824#547—794no—
825#546—798no—
826#546—798no—
827#542—794no—
828#542—794no—
829#542—794no—
830#542—794no—
831#541—792no—
832#541—792no—
833#541—792no—
834#541C2×D7912yescomplemented
835#540—792no—
836#540—792no—
837#540—792no—
838#540C2×D7912yescomplemented
839#539—798no—
840#539—798no—
841#538—798no—
842#538—798no—
843#537—792no—
844#537—792no—
845#537—792no—
846#537C2×D7912yescomplemented
847#536—794no—
848#536—794no—
849#535—794no—
850#535—794no—
851#534—798no—
852#533—792no—
853#533—792no—
854#533—794no—
855#533—794no—
856#533—792no—
857#533—792no—
858#533—794no—
859#533—794no—
860#532—792no—
861#532—791no—
862#532—791no—
863#532—792no—
864#532—794no—
865#532—794no—
866#532—798no—
867#532—794no—
868#532—794no—
869#532—791no—
870#532C2×D7911yescharacteristic, complemented
871C2×C4⋊Q8—791no—
872C2×C4⋊Q8—792no—
873C2×#127—791no—
874#529—798no—
875#529—798no—
876#529—798no—
877#529—794no—
878#529—798no—
879#529—794no—
880#529—798no—
881#529—798no—
882#529—798no—
883#529—798no—
884#529—794no—
885#529C2×D7914yescomplemented
886C2×#125—791no—
887C2×#125C2×D7911yescharacteristic, complemented
888C2×#124—792no—
889#525—798no—
890#525—794no—
891#525—794no—
892#525—794no—
893#525—794no—
894#525—798no—
895C2×C22⋊Q8—794no—
896C2×#121—794no—
897#520—792no—
898#520—794no—
899#520—792no—
900#520—794no—
901#520—792no—
902#520C2×D7912yescomplemented
903#519—794no—
904#518—798no—
905#518—794no—
906C4×#41—791no—
907C4×#41—792no—
908C4×#41—794no—
909C4×#41—792no—
910C4×#41—794no—
911C4×#41—794no—
912C4×#41—798no—
913C4×#41—798no—
914C4×#41—792no—
915C4×#41—791no—
916C4×#41—798no—
917C4×#41—792no—
918C4×#41—791no—
919C4×#41C2×D7911yescharacteristic, complemented
920C2×C4×Q8—792no—
921C2×C4×Q8—794no—
922C2×C4×D4—794no—
923C2×C4×D4—792no—
924C2×C4×D4—794no—
925C2×#117—791no—
926C2×#117—792no—
927C2×#117—794no—
928C2×#117—792no—
929C2×#117—794no—
930C22×C42—791no—
931C22×C42—792no—
932C2×#41—791no—
933C2×#41—792no—
934C2×#41—798no—
935C2×#41—791no—
936C2×#41—792no—
937C2×#41—792no—
938C2×#41—794no—
939C2×#41—798no—
940C2×#41—792no—
941C2×#41—791no—
942C2×#41—794no—
943C2×#41—792no—
944C2×#41—1588no—
945C2×#41—15816no—
946C2×#41C22×D7911yescharacteristic
947C2×#41C22×D7912yes—
948C22×Q8—791no—
949C22×Q8—792no—
950C22×Q8—794no—
951C22×D4—794no—
952C22×D4—792no—
953C22×D4—791no—
954C22×D4—794no—
955C22×D4—792no—
956C23×C4—792no—
957C23×C4—794no—
958C23×C4—791no—
959C23×C4—794no—
960C23×C4—792no—
961C4⋊Q8—792no—
962C4⋊Q8—794no—
963C4⋊Q8—794no—
964C4⋊Q8—794no—
965C4⋊Q8—794no—
966C4⋊Q8—794no—
967C4⋊Q8—798no—
968C4⋊Q8—791no—
969C4⋊Q8C22×D7911yescharacteristic
970#127—792no—
971#127—794no—
972#127—798no—
973#127—791no—
974#127C22×D7911yescharacteristic
975#126—798no—
976#126—798no—
977#126—798no—
978#126—798no—
979#126—798no—
980#126—798no—
981#126—798no—
982#126—798no—
983#126—798no—
984#126—798no—
985#126C22×D7918yes—
986#126C22×D7918yes—
987#125—798no—
988#125—798no—
989#125—798no—
990#125—798no—
991#125—798no—
992#125—792no—
993#125—792no—
994#125—794no—
995#125C22×D7912yes—
996#125C22×D7912yes—
997#125C22×D7914yes—
998#125C22×D7918yes—
999#124—792no—
1000#124—792no—
1001#124—798no—
1002#124—794no—
1003#124—794no—
1004#124—798no—
1005#124—798no—
1006#124—798no—
1007#124—798no—
1008#124—798no—
1009#124—798no—
1010#124—792no—
1011#124—798no—
1012#124C22×D7912yes—
1013#123—798no—
1014#123—798no—
1015#123—798no—
1016#123—798no—
1017#123—798no—
1018#123—798no—
1019#123—798no—
1020#123—798no—
1021#123—798no—
1022#123—798no—
1023#123—798no—
1024#123—798no—
1025#123—798no—
1026#123—798no—
1027#123C22×D7918yes—
1028#123C22×D7918yes—
1029C22⋊Q8—794no—
1030C22⋊Q8—794no—
1031C22⋊Q8—794no—
1032C22⋊Q8—794no—
1033C22⋊Q8—798no—
1034C22⋊Q8—798no—
1035C22⋊Q8—798no—
1036C22⋊Q8—798no—
1037C22⋊Q8—798no—
1038C22⋊Q8—794no—
1039C22⋊Q8—798no—
1040C22⋊Q8—794no—
1041C22⋊Q8—798no—
1042C22⋊Q8—798no—
1043C22⋊Q8—798no—
1044C22⋊Q8—798no—
1045C22⋊Q8C22×D7914yes—
1046C22⋊Q8C22×D7914yes—
1047#121—794no—
1048#121—794no—
1049#121—794no—
1050#121—794no—
1051#121—798no—
1052#121—794no—
1053#121—798no—
1054#121—798no—
1055#121—798no—
1056#121—794no—
1057#121—794no—
1058#121—794no—
1059#121—798no—
1060#121—794no—
1061#121—794no—
1062#121—794no—
1063#121—798no—
1064#121—794no—
1065#121—794no—
1066#121—798no—
1067#121—798no—
1068#121C22×D7914yes—
1069#121C22×D7914yes—
1070#121C22×D7914yes—
1071#121C22×D7918yes—
1072#121C22×D7918yes—
1073#120—798no—
1074#120—798no—
1075#120—798no—
1076#120—798no—
1077C4×Q8—792no—
1078C4×Q8—794no—
1079C4×Q8—798no—
1080C4×Q8—792no—
1081C4×Q8—794no—
1082C4×Q8—798no—
1083C4×Q8—798no—
1084C4×Q8—798no—
1085C4×Q8—794no—
1086C4×Q8—798no—
1087C4×Q8—798no—
1088C4×Q8—792no—
1089C4×Q8—794no—
1090C4×Q8—794no—
1091C4×Q8—798no—
1092C4×Q8—798no—
1093C4×Q8C22×D7912yes—
1094C4×Q8C22×D7914yes—
1095C4×D4—792no—
1096C4×D4—794no—
1097C4×D4—794no—
1098C4×D4—794no—
1099C4×D4—798no—
1100C4×D4—798no—
1101C4×D4—794no—
1102C4×D4—794no—
1103C4×D4—794no—
1104C4×D4—794no—
1105C4×D4—794no—
1106C4×D4—798no—
1107C4×D4—798no—
1108C4×D4—798no—
1109C4×D4—798no—
1110C4×D4—798no—
1111C4×D4—794no—
1112C4×D4—792no—
1113C4×D4—794no—
1114C4×D4—798no—
1115C4×D4—794no—
1116C4×D4—798no—
1117C4×D4—798no—
1118C4×D4—794no—
1119C4×D4—794no—
1120C4×D4—794no—
1121C4×D4—794no—
1122C4×D4—794no—
1123C4×D4—798no—
1124C4×D4—798no—
1125C4×D4—798no—
1126C4×D4—798no—
1127C4×D4—798no—
1128C4×D4—798no—
1129C4×D4—798no—
1130C4×D4—794no—
1131C4×D4—792no—
1132C4×D4—794no—
1133C4×D4—798no—
1134C4×D4—794no—
1135C4×D4C22×D7914yes—
1136C4×D4C22×D7912yes—
1137C4×D4C22×D7914yes—
1138C4×D4C22×D7914yes—
1139C4×D4C22×D7918yes—
1140C4×D4C22×D7918yes—
1141#117—791no—
1142#117—792no—
1143#117—794no—
1144#117—792no—
1145#117—794no—
1146#117—794no—
1147#117—794no—
1148#117—798no—
1149#117—794no—
1150#117—798no—
1151#117—794no—
1152#117—794no—
1153#117—794no—
1154#117—798no—
1155#117—792no—
1156#117—798no—
1157#117—794no—
1158#117—798no—
1159#117—798no—
1160#117—792no—
1161#117—792no—
1162#117—792no—
1163#117—798no—
1164#117—798no—
1165#117—798no—
1166#117C22×D7911yescharacteristic
1167#117C22×D7912yes—
1168#117C22×D7914yes—
1169#117C22×D7918yes—
1170C2×C4⋊C4—792no—
1171C2×C4⋊C4—794no—
1172C2×C4⋊C4—794no—
1173C2×C4⋊C4—794no—
1174C2×C4⋊C4—792no—
1175C2×C4⋊C4—794no—
1176C2×C4⋊C4—794no—
1177C2×C4⋊C4—794no—
1178C2×C4⋊C4—794no—
1179C2×C4⋊C4C22×D7912yes—
1180C2×C4⋊C4C22×D7914yes—
1181C2×C4⋊C4C22×D7914yes—
1182C2×C22⋊C4—794no—
1183C2×C22⋊C4—798no—
1184C2×C22⋊C4—792no—
1185C2×C22⋊C4—794no—
1186C2×C22⋊C4—798no—
1187C2×C22⋊C4—794no—
1188C2×C22⋊C4—794no—
1189C2×C42—794no—
1190C2×C42—798no—
1191C2×C42—792no—
1192C2×C42—794no—
1193C2×C42—791no—
1194C2×C42—792no—
1195C2×C42—792no—
1196C2×C42—791no—
1197C2×C42—798no—
1198C2×C42—792no—
1199C2×C42—794no—
1200C2×C42—792no—
1201C2×C42—794no—
1202C2×C42—791no—
1203C2×C42—792no—
1204C2×C42—791no—
1205C2×C42—792no—
1206C2×C42—791no—
1207C2×C42C22×D7911yescharacteristic
1208C2×C42C22×D7912yes—
1209C24—791no—
1210C24—794no—
1211C24—792no—
1212#41—24no—
1213#41—28no—
1214#41—31616no—
1215#41—31616no—
1216#41—1588no—
1217#41—15816no—
1218#41—1588no—
1219#41—15816no—
1220#41—1584no—
1221#41—1588no—
1222#41—1584no—
1223#41—1588no—
1224#41—1584no—
1225#41—1588no—
1226C2×Q8—3168no—
1227C2×Q8—798no—
1228C2×Q8—791no—
1229C2×Q8—798no—
1230C2×Q8—792no—
1231C2×Q8—792no—
1232C2×Q8—794no—
1233C2×Q8—1588no—
1234C2×Q8—1584no—
1235C2×Q8C23×D7911yescharacteristic
1236C2×Q8C23×D7912yes—
1237C2×D4—3168no—
1238C2×D4—798no—
1239C2×D4—798no—
1240C2×D4—792no—
1241C2×D4—794no—
1242C2×D4—792no—
1243C2×D4—794no—
1244C2×D4—794no—
1245C2×D4—794no—
1246C2×D4—792no—
1247C2×D4—794no—
1248C2×D4—798no—
1249C2×D4—794no—
1250C2×D4—792no—
1251C2×D4—794no—
1252C2×D4—791no—
1253C2×D4—792no—
1254C2×D4—1588no—
1255C2×D4—1584no—
1256C2×D4—1588no—
1257C2×D4—15816no—
1258C2×D4C23×D7912yes—
1259C2×D4C23×D7914yes—
1260C2×D4C23×D7911yescharacteristic
1261C2×D4C23×D7912yes—
1262C2×D4C23×D7918yes—
1263C2×D4C23×D7914yes—
1264C22×C4—3164no—
1265C22×C4—3168no—
1266C22×C4—794no—
1267C22×C4—798no—
1268C22×C4—792no—
1269C22×C4—794no—
1270C22×C4—792no—
1271C22×C4—794no—
1272C22×C4—798no—
1273C22×C4—798no—
1274C22×C4—791no—
1275C22×C4—798no—
1276C22×C4—791no—
1277C22×C4—791no—
1278C22×C4—791no—
1279C22×C4—791no—
1280C22×C4—792no—
1281C22×C4—794no—
1282C22×C4—792no—
1283C22×C4—794no—
1284C22×C4—792no—
1285C22×C4—792no—
1286C22×C4—792no—
1287C22×C4—794no—
1288C22×C4—792no—
1289C22×C4—794no—
1290C22×C4—792no—
1291C22×C4—794no—
1292C22×C4—794no—
1293C22×C4—15816no—
1294C22×C4—1588no—
1295C22×C4C23×D7912yes—
1296C22×C4C23×D7914yes—
1297C22×C4C23×D7912yes—
1298C22×C4C23×D7914yes—
1299C22×C4C23×D7914yes—
1300C22×C4C23×D7918yes—
1301C22×C4C23×D7911yescharacteristic
1302C4⋊C4—794no—
1303C4⋊C4—798no—
1304C4⋊C4—794no—
1305C4⋊C4—794no—
1306C4⋊C4—794no—
1307C4⋊C4—798no—
1308C4⋊C4—798no—
1309C4⋊C4—798no—
1310C4⋊C4—794no—
1311C4⋊C4—798no—
1312C4⋊C4—798no—
1313C4⋊C4—798no—
1314C4⋊C4—798no—
1315C4⋊C4—792no—
1316C4⋊C4—794no—
1317C4⋊C4—794no—
1318C4⋊C4—794no—
1319C4⋊C4—798no—
1320C4⋊C4—794no—
1321C4⋊C4—798no—
1322C4⋊C4C23×D7912yes—
1323C4⋊C4C23×D7914yes—
1324C4⋊C4C23×D7914yes—
1325C4⋊C4C23×D7914yes—
1326C4⋊C4C23×D7914yes—
1327C4⋊C4C23×D7918yes—
1328C4⋊C4C23×D7918yes—
1329C4⋊C4C23×D7918yes—
1330C4⋊C4C23×D7918yes—
1331C22⋊C4—792no—
1332C22⋊C4—798no—
1333C22⋊C4—794no—
1334C22⋊C4—794no—
1335C22⋊C4—794no—
1336C22⋊C4—798no—
1337C22⋊C4—798no—
1338C22⋊C4—794no—
1339C22⋊C4—798no—
1340C22⋊C4—798no—
1341C22⋊C4—794no—
1342C22⋊C4—798no—
1343C22⋊C4—794no—
1344C22⋊C4—794no—
1345C22⋊C4—798no—
1346C22⋊C4—794no—
1347C22⋊C4—794no—
1348C22⋊C4—794no—
1349C22⋊C4—798no—
1350C22⋊C4—798no—
1351C22⋊C4—798no—
1352C22⋊C4—798no—
1353C22⋊C4C23×D7914yes—
1354C22⋊C4C23×D7912yes—
1355C22⋊C4C23×D7914yes—
1356C22⋊C4C23×D7918yes—
1357C22⋊C4C23×D7914yes—
1358C22⋊C4C23×D7918yes—
1359C22⋊C4C23×D7918yes—
1360C42—794no—
1361C42—792no—
1362C42—791no—
1363C42—792no—
1364C42—798no—
1365C42—792no—
1366C42—794no—
1367C42—791no—
1368C42—792no—
1369C42—794no—
1370C42—794no—
1371C42—792no—
1372C42—792no—
1373C42—798no—
1374C42—798no—
1375C42—798no—
1376C42—798no—
1377C42C23×D7911yescharacteristic
1378C42C23×D7912yes—
1379C42C23×D7914yes—
1380C42C23×D7911yescharacteristic
1381C42C23×D7912yes—
1382C42C23×D7918yes—
1383C23—3162no—
1384C23—3164no—
1385C23—3164no—
1386C23—3164no—
1387C23—794no—
1388C23—791no—
1389C23—791no—
1390C23—794no—
1391C23—792no—
1392C23—1584no—
1393C23—1588no—
1394C23C24×D7914yes—
1395C23C24×D7912yes—
1396C23C24×D7911yescharacteristic
1397Q8—22no—
1398Q8—24no—
1399Q8—3168no—
1400Q8—15816no—
1401Q8—1584no—
1402Q8—1588no—
1403Q8—1582no—
1404Q8—1584no—
1405D4—24no—
1406D4—28no—
1407D4—22no—
1408D4—24no—
1409D4—44no—
1410D4—48no—
1411D4—3164no—
1412D4—3168no—
1413D4—3168no—
1414D4—3168no—
1415D4—1584no—
1416D4—1588no—
1417D4—1588no—
1418D4—1588no—
1419D4—1584no—
1420D4—1588no—
1421D4—1584no—
1422D4—1588no—
1423D4—1584no—
1424D4—1588no—
1425D4—1582no—
1426D4—1584no—
1427C2×C4—28no—
1428C2×C4—24no—
1429C2×C4—44no—
1430C2×C4—42no—
1431C2×C4—44no—
1432C2×C4—48no—
1433C2×C4—3164no—
1434C2×C4—3164no—
1435C2×C4—3162no—
1436C2×C4—3162no—
1437C2×C4—3168no—
1438C2×C4—3168no—
1439C2×C4—3164no—
1440C2×C4—3168no—
1441C2×C4—791no—
1442C2×C4—791no—
1443C2×C4—792no—
1444C2×C4—794no—
1445C2×C4—794no—
1446C2×C4—794no—
1447C2×C4—794no—
1448C2×C4—794no—
1449C2×C4—794no—
1450C2×C4—792no—
1451C2×C4—792no—
1452C2×C4—794no—
1453C2×C4—798no—
1454C2×C4—1584no—
1455C2×C4—1584no—
1456C2×C4—1588no—
1457C2×C4—1584no—
1458C2×C4—1588no—
1459C2×C4—1588no—
1460C2×C4—1584no—
1461C2×C4—1584no—
1462C2×C4—1588no—
1463C2×C4—1584no—
1464C2×C4—1588no—
1465C2×C4—1588no—
1466C2×C4—1584no—
1467C2×C4#41×D7914yes—
1468C2×C4C24×D7914yes—
1469C2×C4C24×D7912yes—
1470C2×C4C24×D7918yes—
1471C2×C4C24×D7912yes—
1472C2×C4C24×D7914yes—
1473C2×C4C24×D7912yes—
1474C2×C4C24×D7911yescharacteristic
1475C2×C4C24×D7911yescharacteristic
1476C22—22no—
1477C22—22no—
1478C22—24no—
1479C22—24no—
1480C22—24no—
1481C22—24no—
1482C22—3164no—
1483C22—3168no—
1484C22—792no—
1485C22—792no—
1486C22—6328no—
1487C22—1582no—
1488C22—1584no—
1489C22—1584no—
1490C22—1584no—
1491C22—1584no—
1492C22—1582no—
1493C22—1582no—
1494C22C2×#41×D7912yes—
1495C22C25×D7911yescharacteristic
1496C4—24no—
1497C4—22no—
1498C4—22no—
1499C4—24no—
1500C4—28no—
1501C4—22no—
1502C4—792no—
1503C4—792no—
1504C4—794no—
1505C4—1582no—
1506C4—1584no—
1507C4—1584no—
1508C4—1588no—
1509C4—1582no—
1510C4C2×#41×D7912yes—
1511C4C2×#41×D7912yes—
1512C2—22no—
1513C2—42no—
1514C2—44no—
1515C2—3162no—
1516C2—3164no—
1517C2—1582no—
1518C2—1582no—
1519C2C22×#41×D7911yescharacteristic
1520C2#585×D7912yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3512C2
hypercenter#3512D79
hypocenterC79#62815
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3512

Complements

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

NH ≅ G/Ntype
1. #23777324C2semidirect
2. #23777322C2semidirect
3. #23777320C2semidirect
4. #23777309C2semidirect
5. #23777303C2semidirect
6. #23777289C2semidirect
7. #23777282C2semidirect
8. #23777272C2semidirect
9. #23777259C2semidirect
10. #23777246C2semidirect
11. #23777233C2semidirect
12. #23776994C2semidirect
13. #23776959C2semidirect
14. #23776953C2semidirect
15. #23776791C2semidirect
16. #23776784C2semidirect
17. #23776728C2semidirect
18. #23776694C2semidirect
19. C2×#19099119C2semidirect
20. #532×D79C2semidirect
21. #23776600C2semidirect
22. C4×#41×D79C2semidirect
23. C79×#3512C2semidirect
26. #19099297C22semidirect
27. #19099297C22semidirect
28. #19099296C22semidirect
29. #19099290C22semidirect
30. #19099284C22semidirect
31. #19099281C22semidirect
32. #19099281C22semidirect
33. #19099280C22semidirect
34. #19099280C22semidirect
35. #19099277C22semidirect
36. #19099276C22semidirect
37. #19099271C22semidirect
38. #19099268C22semidirect
39. #19099266C22semidirect
40. #19099263C22semidirect
41. #19099262C22semidirect
42. #19099262C22semidirect
43. #19099261C22semidirect
44. #19099259C22semidirect
45. #19099256C22semidirect
46. #19099256C22semidirect
47. #19099254C22semidirect
48. #19099253C22semidirect
49. #19099251C22semidirect
50. #19099249C22semidirect
51. #19099245C22semidirect
52. #19099242C22semidirect
53. #19099241C22semidirect
54. #19099238C22semidirect
55. #19099237C22semidirect
56. #19099231C22semidirect
57. #19099222C22semidirect
58. #19099219C22semidirect
59. #19099214C22semidirect
60. #19099213C22semidirect
61. #19099205C22semidirect
62. #19099202C22semidirect
63. #19099186C22semidirect
64. #19099185C22semidirect
65. #19099180C22semidirect
66. #19099178C22semidirect
67. #19099176C22semidirect
68. #19099175C22semidirect
69. #19099174C22semidirect
70. #19099169C22semidirect
71. #19099168C22semidirect
72. #19099167C22semidirect
73. #19099161C22semidirect
74. #19099156C22semidirect
75. #19099152C22semidirect
76. #19099145C22semidirect
77. #19099144C22semidirect
78. #19099141C22semidirect
79. #19099141C22semidirect
81. #19099136C22semidirect
83. #19099129C22semidirect
85. #19099119C22semidirect
86. #19099119C22semidirect
87. #19099119C22semidirect
88. #19099119C22semidirect
89. #19099119C22semidirect
90. #19099119C22semidirect
91. #19099117C22semidirect
92. #19099115C22semidirect
94. #19099113C22semidirect
98. #19099110C22semidirect
99. #19099109C22semidirect
100. #19099108C22semidirect
101. #19099108C22semidirect
102. #19099108C22semidirect
103. C2×#14579160C22semidirect
104. C4⋊Q8×D79C22semidirect
105. #127×D79C22semidirect
106. #19099098C22semidirect
107. #19099098C22semidirect
108. #19099097C22semidirect
109. #19099096C22semidirect
110. #19099096C22semidirect
111. #19099096C22semidirect
112. #19099094C22semidirect
113. #19099092C22semidirect
114. #19099091C22semidirect
115. #19099090C22semidirect
116. #19099090C22semidirect
117. C2×#14579153C22semidirect
118. #124×D79C22semidirect
120. #19099076C22semidirect
122. #19099073C22semidirect
123. #19099072C22semidirect
124. #19099071C22semidirect
127. #19099046C22semidirect
128. #19099044C22semidirect
129. #19099044C22semidirect
130. #19099043C22semidirect
131. #19099043C22semidirect
132. #19099039C22semidirect
134. #19099035C22semidirect
135. #41×Dic79C22semidirect
137. C4×#11929625C22semidirect
139. C4×#11929624C22semidirect
141. #19099031C22semidirect
142. #19099031C22semidirect
144. C4×#11929623C22semidirect
145. C4×#11929623C22semidirect
146. C4×#11929623C22semidirect
147. C4×#11929623C22semidirect
148. C2×#14579126C22semidirect
149. C4×Q8×D79C22semidirect
151. C4×D4×D79C22semidirect
152. C4×D4×D79C22semidirect
154. C2×#14579119C22semidirect
156. #117×D79C22semidirect
157. #117×D79C22semidirect
159. C2×C42×D79C22semidirect
160. #553×C79C22semidirect
161. #553×C79C22semidirect
162. #552×C79C22semidirect
163. #541×C79C22semidirect
164. #540×C79C22semidirect
165. #537×C79C22semidirect
166. #532×C79C22semidirect
167. #529×C79C22semidirect
168. C2×#125×C79C22semidirect
169. #520×C79C22semidirect
170. C4×#41×C79C22semidirect
504. C2×C4×D79#41semidirect
764. #3512D79semidirect
784. C79#62815semidirect
808. #553C2×D79semidirect
809. #553C2×D79semidirect
815. #552C2×D79semidirect
834. #541C2×D79semidirect
838. #540C2×D79semidirect
846. #537C2×D79semidirect
870. #532C2×D79semidirect
885. #529C2×D79semidirect
887. C2×#125C2×D79semidirect
902. #520C2×D79semidirect
919. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237773242
#237773222
#237773202
#237773092
#237773032
#237772892
#237772822
#237772722
#237772592
#237772462
#237772332
#237769942
#237769592
#237769532
#237767912
#237767842
#237767282
#237766942
C2×#190991192
#532×D792
#237766002
C4×#41×D792
C79×#35122
#6281579