Finite Group Databasebeta

← #35197458

Subgroups — #35197458

Order 20224.

7310 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777506C214yesmaximal, complemented
2#23777428C214yesmaximal, complemented
3#23777425C218yesmaximal, complemented
4#23777399C214yesmaximal, complemented
5#23777345C214yesmaximal, complemented
6#23777331C218yesmaximal, complemented
7#23777323C212yesmaximal, complemented
8#23777276C211yesmaximal, characteristic, complemented
9#23777272C212yesmaximal, complemented
10#23777224C211yesmaximal, characteristic, complemented
11#23777173C211yesmaximal, characteristic, complemented
12#23777136C212yesmaximal, complemented
13#23777123C214yesmaximal, complemented
14#23777064C212yesmaximal, complemented
15#23776821C214yesmaximal, complemented
16#23776817C212yesmaximal, complemented
17#23776791C212yesmaximal, complemented
18#23776789C211yesmaximal, characteristic, complemented
19C2×#19099169C211yesmaximal, characteristic, complemented
20#540×D79C212yesmaximal, complemented
21#23776606C212yesmaximal, complemented
22#23776599C211yesmaximal, characteristic, complemented
23C79×#3512C211yesmaximal, characteristic, complemented
24C2×#14579207C2212yes—
25C2×#41×D79C2211yescharacteristic
26#19099298C2214yescomplemented
27#19099297C2218yescomplemented
28#19099290C2214yescomplemented
29#19099276C2218yescomplemented
30#19099276C2214yescomplemented
31#19099269C2214yescomplemented
32#19099268C2218yescomplemented
33#19099266C2218yescomplemented
34#19099264C2218yescomplemented
35#19099264C2218yescomplemented
36#19099264C2218yescomplemented
37#19099262C2218yescomplemented
38#19099261C2214yescomplemented
39#19099257C2214yescomplemented
40#19099245C2218yescomplemented
41#19099242C2218yescomplemented
42#19099238C2218yescomplemented
43#19099237C2218yescomplemented
44#19099234C2214yescomplemented
45#19099234C2214yescomplemented
46#19099231C2214yescomplemented
47#19099231C2218yescomplemented
48#19099223C2214yescomplemented
49#19099214C2214yescomplemented
50#19099211C2218yescomplemented
51#19099209C2218yescomplemented
52#19099209C2218yescomplemented
53#19099208C2218yescomplemented
54#19099205C2218yescomplemented
55#19099205C2218yescomplemented
56#19099204C2214yescomplemented
57#19099202C2218yescomplemented
58#19099202C2218yescomplemented
59D4×D316C2214yescomplemented
60#19099197C2218yescomplemented
61#19099197C2214yescomplemented
62#19099197C2218yescomplemented
63#19099194C2212yescomplemented
64#19099193C2214yescomplemented
65#19099186C2214yescomplemented
66#19099186C2214yescomplemented
67#19099185C2214yescomplemented
68#19099182C2212yescomplemented
69#19099182C2212yescomplemented
70#19099179C2218yescomplemented
71#19099174C2211yescharacteristic, complemented
72#19099174C2211yescharacteristic, complemented
73#19099169C2212yescomplemented
74#19099169C2212yescomplemented
75#19099169C2212yescomplemented
76#19099169C2214yescomplemented
77#19099169C2212yescomplemented
78#19099169C2214yescomplemented
79#19099168C2212yescomplemented
80#19099168C2212yescomplemented
81#19099167C2211yescharacteristic, complemented
82#19099167C2211yescharacteristic, complemented
83#19099166C2214yescomplemented
84#19099166C2214yescomplemented
85#19099165C2218yescomplemented
86#19099165C2218yescomplemented
87#19099164C2214yescomplemented
88#19099163C2218yescomplemented
89#19099161C2218yescomplemented
90#19099158C2214yescomplemented
91#19099152C2218yescomplemented
92#19099152C2218yescomplemented
93#19099150C2214yescomplemented
94#19099150C2218yescomplemented
95#19099149C2218yescomplemented
96#19099143C2214yescomplemented
97#19099131C2214yescomplemented
98#19099129C2214yescomplemented
99#19099127C2212yescomplemented
100#19099127C2212yescomplemented
101#19099120C2211yescharacteristic, complemented
102#19099119C2212yescomplemented
103#19099114C2212yescomplemented
104#19099113C2214yescomplemented
105#19099110C2214yescomplemented
106#19099110C2218yescomplemented
107#19099108C2214yescomplemented
108#19099108C2214yescomplemented
109C2×#14579158C2211yescharacteristic, complemented
110#127×D79C2212yescomplemented
111#19099100C2214yescomplemented
112#19099099C2214yescomplemented
113#19099099C2214yescomplemented
114#19099098C2218yescomplemented
115#19099096C2218yescomplemented
116#19099093C2214yescomplemented
117#19099093C2214yescomplemented
118#19099091C2218yescomplemented
119#125×D79C2212yescomplemented
120#19099076C2214yescomplemented
121#19099075C2218yescomplemented
122#19099073C2218yescomplemented
123#19099072C2218yescomplemented
124#19099070C2212yescomplemented
125C2×#14579146C2214yescomplemented
126#123×D79C2218yescomplemented
127C2×#14579136C2212yescomplemented
128C2×#14579136C2214yescomplemented
129#121×D79C2214yescomplemented
130#121×D79C2218yescomplemented
131#19099045C2214yescomplemented
132#19099045C2212yescomplemented
133#19099044C2212yes—
134#19099044C2214yescomplemented
135#19099042C2214yescomplemented
136#19099042C2212yescomplemented
137#19099039C2212yescomplemented
138#19099037C2214yescomplemented
139#19099037C2212yescomplemented
140#19099035C2218yescomplemented
141#19099035C2214yescomplemented
142#19099035C2212yescomplemented
143#19099035C2214yescomplemented
144#41×Dic79C2212yescomplemented
145#41×Dic79C2211yescharacteristic, complemented
146C4×#11929625C2214yescomplemented
147C4×#11929624C2211yescharacteristic
148C4×#11929624C2212yescomplemented
149#19099031C2211yescharacteristic
150#19099031C2212yescomplemented
151#19099031C2214yescomplemented
152C2×#14579123C2212yescomplemented
153C2×#14579123C2214yescomplemented
154C4×D4×D79C2218yescomplemented
155C4×D4×D79C2214yescomplemented
156C2×#14579118C2211yescharacteristic, complemented
157C2×#14579118C2212yescomplemented
158#117×D79C2212yescomplemented
159#117×D79C2211yescharacteristic, complemented
160#553×C79C2218yescomplemented
161#553×C79C2214yescomplemented
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
171#14579207—216no—
172C2×#11929625C2314yes—
173C2×#11929625C2311yescharacteristic
174C2×#11929624C2314yes—
175C2×#11929624C2312yes—
176C2×#11929624C2318yes—
177C2×#11929624C2318yes—
178C2×#11929624C2311yescharacteristic
179C2×#11929623C2312yes—
180C2×#11929623C2311yescharacteristic
181C2×#11929623C2318yes—
182#41×D79—28no—
183C2×Q8×D79C2311yescharacteristic
184C22×D316C2314yes—
185C22×D316C2312yes—
186C22×D316C2314yes—
187C22×D316C2314yes—
188C2×D4×D79C2318yes—
189C2×D4×D79C2314yes—
190C2×D4×D79C2311yescharacteristic
191C2×D4×D79C2312yes—
192C2×D4×D79C2318yes—
193C2×D4×D79C2318yes—
194C22×C4×D79C2312yes—
195C22×C4×D79C2311yescharacteristic
196C22×C4×D79C2318yes—
197C22×C4×D79C2314yes—
198#14579161C2312yes—
199#14579160C2318yes—
200#14579160C2314yes—
201#14579160C2314yes—
202#14579158C2312yes—
203#14579158C2314yes—
204#14579158C2312yes—
205#14579157C2318yes—
206#14579157C2314yes—
207#14579157C2318yes—
208#14579157C2314yes—
209#14579156C2318yes—
210#14579156C2314yes—
211#14579156C2318yes—
212#14579156C2314yes—
213#14579156C2318yes—
214#14579155C2318yes—
215#14579154C2314yes—
216#14579154C2314yes—
217#14579153C2311yescharacteristic
218#14579153C2311yescharacteristic
219#14579152C2314yes—
220#14579152C2314yes—
221#14579151C2314yes—
222#14579151C2314yes—
223#14579151C2318yes—
224#14579151C2318yes—
225#14579150C2314yes—
226#14579150C2314yes—
227#14579149C2318yes—
228#14579149C2318yes—
229#14579147C2318yes—
230#14579147C2318yes—
231#14579147C2314yes—
232#14579147C2314yes—
233#14579147C2318yes—
234#14579147C2318yes—
235#14579146C2318yes—
236#14579146C2318yes—
237#14579146C2318yes—
238#14579146C2318yes—
239#14579146C2318yes—
240#14579146C2318yes—
241#14579146C2318yes—
242#14579146C2318yes—
243#14579146C2318yes—
244#14579145C2314yes—
245#14579145C2318yes—
246#14579145C2318yes—
247#14579145C2314yes—
248#14579144C2318yes—
249#14579143C2318yes—
250#14579143C2318yes—
251#14579143C2318yes—
252#14579142C2314yes—
253#14579142C2314yes—
254#14579142C2314yes—
255#14579141C2318yes—
256#14579141C2318yes—
257#14579140C2314yes—
258#14579140C2318yes—
259#14579139C2318yes—
260#14579139C2318yes—
261#14579139C2318yes—
262#14579139C2318yes—
263#14579138C2314yes—
264#14579138C2314yes—
265#14579137C2312yes—
266#14579137C2312yes—
267#14579136C2318yes—
268#14579136C2314yes—
269#14579136C2318yes—
270#14579136C2318yes—
271#14579136C2318yes—
272#14579136C2314yes—
273#14579136C2314yes—
274#14579136C2314yes—
275#14579136C2318yes—
276#14579136C2318yes—
277#14579135C2314yes—
278#14579135C2318yes—
279#14579135C2318yes—
280#14579135C2314yes—
281#14579135C2314yes—
282#14579135C2314yes—
283#14579134C2318yes—
284#14579134C2318yes—
285#14579134C2318yes—
286#14579134C2318yes—
287#14579134C2318yes—
288#14579134C2318yes—
289#14579134C2318yes—
290#14579134C2318yes—
291#14579134C2318yes—
292#14579133C2318yes—
293#14579133C2314yes—
294#14579133C2318yes—
295#14579133C2314yes—
296#14579133C2318yes—
297#14579132C2318yes—
298#14579132C2312yes—
299#14579132C2312yes—
300#14579131C2318yes—
301#14579131C2318yes—
302#14579131C2318yes—
303#14579131C2318yes—
304#14579129C2318yes—
305#14579129C2314yes—
306#14579129C2318yes—
307#14579129C2318yes—
308Q8×Dic79C2312yes—
309Q8×Dic79C2312yes—
310Q8×Dic79C2312yes—
311C4×Dic158C2314yes—
312C4×Dic158C2312yes—
313C4×Dic158C2314yes—
314#14579126C2314yes—
315#14579126C2318yes—
316#14579126C2314yes—
317#14579126C2312yes—
318C4×D316C2314yes—
319C4×D316C2318yes—
320C4×D316C2314yes—
321C4×D316C2314yes—
322C4×D316C2312yes—
323C4×D316C2318yes—
324C4×D316C2318yes—
325C4×D316C2318yes—
326D4×Dic79C2314yes—
327D4×Dic79C2314yes—
328D4×Dic79C2314yes—
329D4×Dic79C2312yes—
330D4×Dic79C2312yes—
331D4×Dic79C2312yes—
332#14579123C2318yes—
333#14579123C2314yes—
334#14579123C2314yes—
335#14579123C2314yes—
336#14579123C2314yes—
337#14579123C2314yes—
338#14579123C2318yes—
339#14579123C2318yes—
340#14579123C2314yes—
341#14579123C2318yes—
342#14579123C2314yes—
343#14579123C2314yes—
344#14579123C2312yes—
345C4×C22⋊D79C2314yes—
346C4×C22⋊D79C2318yes—
347C4×C22⋊D79C2314yes—
348C4×C22⋊D79C2314yes—
349C4×C22⋊D79C2318yes—
350C4×C22⋊D79C2314yes—
351C4×C22⋊D79C2318yes—
352C4×C22⋊D79C2314yes—
353C4×C22⋊D79C2318yes—
354(C22⋊D79)⋊C4C2318yes—
355(C22⋊D79)⋊C4C2314yes—
356(C22⋊D79)⋊C4C2318yes—
357(C22⋊D79)⋊C4C2318yes—
358(C22⋊D79)⋊C4C2318yes—
359(C22⋊D79)⋊C4C2318yes—
360(C22⋊D79)⋊C4C2314yes—
361(C22⋊D79)⋊C4C2314yes—
362#14579120C2312yes—
363#14579120C2314yes—
364#14579120C2311yescharacteristic
365#14579120C2312yes—
366#14579119C2314yes—
367#14579119C2318yes—
368#14579119C2314yes—
369#14579119C2318yes—
370#14579119C2312yes—
371#14579118C2312yes—
372#14579118C2311yescharacteristic
373#14579118C2311yescharacteristic
374#14579118C2311yescharacteristic
375#14579118C2311yescharacteristic
376#14579118C2312yes—
377#14579118C2312yes—
378#14579118C2312yes—
379#14579118C2314yes—
380#14579118C2318yes—
381#14579118C2318yes—
382#14579118C2314yes—
383#14579118C2312yes—
384#14579117C2314yes—
385#14579117C2312yes—
386C2×Dic79⋊C4C2312yes—
387C2×Dic79⋊C4C2314yes—
388C4⋊C4×D79C2314yes—
389C4⋊C4×D79C2314yes—
390C4⋊C4×D79C2318yes—
391C4⋊C4×D79C2312yes—
392C4⋊C4×D79C2318yes—
393C2×(C2×D79)⋊C4C2312yes—
394C2×(C2×D79)⋊C4C2314yes—
395C2×(C2×D79)⋊C4C2314yes—
396C2×(C2×D79)⋊C4C2318yes—
397C2×(C2×D79)⋊C4C2314yes—
398C22⋊C4×D79C2318yes—
399C22⋊C4×D79C2314yes—
400C22⋊C4×D79C2318yes—
401C22⋊C4×D79C2318yes—
402C22⋊C4×D79C2312yes—
403C22⋊C4×D79C2318yes—
404C2×C4×Dic79C2311yescharacteristic
405C2×C4×Dic79C2312yes—
406C2×C4×Dic79C2314yes—
407C42×D79C2312yes—
408C42×D79C2312yes—
409C42×D79C2312yes—
410C42×D79C2318yes—
411C2×#41×C79C2312yes—
412C2×#41×C79C2311yescharacteristic
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×C79C2314yes—
427#121×C79C2318yes—
428#121×C79C2318yes—
429#121×C79C2314yes—
430#121×C79C2314yes—
431C4×Q8×C79C2314yes—
432C4×Q8×C79C2312yes—
433C4×D4×C79C2314yes—
434C4×D4×C79C2314yes—
435C4×D4×C79C2318yes—
436C4×D4×C79C2314yes—
437C4×D4×C79C2318yes—
438C4×D4×C79C2312yes—
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×D79C2418yes—
449C23×D79C2411yescharacteristic
450C23×D79C2414yes—
451C23×D79C2412yes—
452#11929625—24no—
453#11929625—216no—
454#11929624—28no—
455#11929624—216no—
456#11929624—88no—
457#11929624—88no—
458#11929624#4118yescomplemented
459#11929623—24no—
460#11929623—28no—
461#11929623—88no—
462C2×Dic158C2412yes—
463C2×Dic158C2418yes—
464C2×Dic158C2414yes—
465C2×Dic158C2411yescharacteristic
466Q8×D79—24no—
467C2×D316—216no—
468C2×D316—28no—
469C2×D316—84no—
470C2×D316—84no—
471C2×D316C2412yes—
472C2×D316C2414yes—
473C2×D316C2418yes—
474C2×D316C2414yes—
475C2×D316C2418yes—
476C2×D316C2418yes—
477C2×D316C2418yes—
478C2×D316C2418yes—
479C2×D316C2411yescharacteristic
480C2×C22⋊D79C2412yes—
481C2×C22⋊D79C2412yes—
482C2×C22⋊D79C2418yes—
483C2×C22⋊D79C2418yes—
484C2×C22⋊D79C2418yes—
485C2×C22⋊D79C2414yes—
486C2×C22⋊D79C2418yes—
487C2×C22⋊D79C2418yes—
488C2×C22⋊D79C2414yes—
489C2×C22⋊D79C2412yes—
490D4×D79—24no—
491D4×D79—216no—
492D4×D79—28no—
493D4×D79—232no—
494D4×D79—88no—
495D4×D79—88no—
496C22×Dic79C2411yescharacteristic
497C22×Dic79C2412yes—
498C22×Dic79C2414yes—
499C22×Dic79C2414yes—
500C22×Dic79C2412yes—
501C22×Dic79C2414yes—
502C2×C4×D79—28no—
503C2×C4×D79—24no—
504C2×C4×D79—84no—
505C2×C4×D79—88no—
506C2×C4×D79C2411yescharacteristic
507C2×C4×D79C2412yes—
508C2×C4×D79C2412yes—
509C2×C4×D79C2411yescharacteristic
510C2×C4×D79C2411yescharacteristic
511C2×C4×D79C2418yes—
512C2×C4×D79C2411yescharacteristic
513C2×C4×D79C2418yes—
514C2×C4×D79C2418yes—
515C2×C4×D79C2414yes—
516C2×C4×D79C2418yes—
517C2×C4×D79C2414yes—
518C2×C4×D79C2414yes—
519C2×C4×D79C2418yes—
520C2×C4×D79C2418yes—
521C2×C4×D79C2412yes—
522C4⋊Dic79C2412yes—
523C4⋊Dic79C2414yes—
524C4⋊Dic79C2412yes—
525C4⋊Dic79C2414yes—
526C4⋊Dic79C2418yes—
527C4⋊Dic79C2412yes—
528C4⋊Dic79C2414yes—
529C4⋊Dic79C2414yes—
530Dic79⋊C4C2414yes—
531Dic79⋊C4C2412yes—
532Dic79⋊C4C2414yes—
533Dic79⋊C4C2418yes—
534Dic79⋊C4C2414yes—
535Dic79⋊C4C2418yes—
536Dic79⋊C4C2412yes—
537Dic79⋊C4C2412yes—
538Dic79⋊C4C2414yes—
539Dic79⋊C4C2412yes—
540Dic79⋊C4C2414yes—
541Dic79⋊C4C2414yes—
542Dic79⋊C4C2418yes—
543Dic79⋊C4C2414yes—
544C22⋊Dic79C2414yes—
545C22⋊Dic79C2414yes—
546C22⋊Dic79C2414yes—
547C22⋊Dic79C2414yes—
548C22⋊Dic79C2412yes—
549C22⋊Dic79C2414yes—
550C22⋊Dic79C2414yes—
551(C2×D79)⋊C4C2414yes—
552(C2×D79)⋊C4C2412yes—
553(C2×D79)⋊C4C2414yes—
554(C2×D79)⋊C4C2418yes—
555(C2×D79)⋊C4C2418yes—
556(C2×D79)⋊C4C2418yes—
557(C2×D79)⋊C4C2418yes—
558(C2×D79)⋊C4C2418yes—
559(C2×D79)⋊C4C2418yes—
560(C2×D79)⋊C4C2412yes—
561(C2×D79)⋊C4C2418yes—
562(C2×D79)⋊C4C2412yes—
563(C2×D79)⋊C4C2414yes—
564(C2×D79)⋊C4C2412yes—
565(C2×D79)⋊C4C2418yes—
566(C2×D79)⋊C4C2418yes—
567(C2×D79)⋊C4C2418yes—
568(C2×D79)⋊C4C2418yes—
569(C2×D79)⋊C4C2414yes—
570(C2×D79)⋊C4C2414yes—
571C4×Dic79C2414yes—
572C4×Dic79C2411yescharacteristic
573C4×Dic79C2412yes—
574C4×Dic79C2414yes—
575C4×Dic79C2414yes—
576C4×Dic79C2414yes—
577C4×Dic79C2418yes—
578C4×Dic79C2411yescharacteristic
579C4×Dic79C2412yes—
580C4×Dic79C2414yes—
581C4×Dic79C2414yes—
582C4×Dic79C2414yes—
583#41×C79—24no—
584#41×C79—28no—
585C2×Q8×C79C2411yescharacteristic
586C2×Q8×C79C2412yes—
587C2×D4×C79C2412yes—
588C2×D4×C79C2411yescharacteristic
589C2×D4×C79C2414yes—
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—22no—
626C22×D79—28no—
627C22×D79—24no—
628C22×D79—216no—
629C22×D79—48no—
630C22×D79—44no—
631C22×D79—44no—
632C22×D79—48no—
633C22×D79—42no—
634C22×D79—44no—
635C22×D79C2511yescharacteristic
636C22×D79C2518yes—
637C22×D79C2511yescharacteristic
638C22×D79C2512yes—
639Q8×C79—22no—
640Q8×C79—24no—
641D4×C79—28no—
642D4×C79—24no—
643D4×C79—24no—
644D4×C79—22no—
645D4×C79—44no—
646D4×C79—48no—
647C2×C4×C79—24no—
648C2×C4×C79—28no—
649C2×C4×C79—44no—
650C2×C4×C79—48no—
651C2×C4×C79—42no—
652C2×C4×C79—44no—
653C2×C4×C79C2×#4114yes—
654C2×C4×C79C2512yes—
655C2×C4×C79C2514yes—
656C2×C4×C79C2514yes—
657C2×C4×C79C2512yes—
658C2×C4×C79C2518yes—
659C2×C4×C79C2512yes—
660C2×C4×C79C2511yescharacteristic
661C2×C4×C79C2511yescharacteristic
662C22⋊D79—24no—
663C22⋊D79—216no—
664C22⋊D79—24no—
665C22⋊D79—44no—
666C22⋊D79—48no—
667C22⋊D79—48no—
668C22⋊D79—48no—
669C22⋊D79—48no—
670C22⋊D79—44no—
671C22⋊D79C2×#4118yes—
672C2×Dic79—22no—
673C2×Dic79—24no—
674C2×Dic79—44no—
675C2×Dic79—42no—
676C2×Dic79—44no—
677C2×Dic79—44no—
678C2×Dic79C2512yes—
679C2×Dic79C2512yes—
680C2×Dic79C2511yescharacteristic
681C2×Dic79C2514yes—
682C2×Dic79C2514yes—
683C2×Dic79C2514yes—
684C2×Dic79C2511yescharacteristic
685C2×Dic79C2512yes—
686D316—216no—
687D316—24no—
688D316—28no—
689D316—28no—
690D316—48no—
691D316—48no—
692D316—48no—
693D316—48no—
694D316C2×#4114yes—
695C4×D79—24no—
696C4×D79—22no—
697C4×D79—22no—
698C4×D79—22no—
699C4×D79—22no—
700C4×D79—24no—
701C4×D79—216no—
702C4×D79—44no—
703C4×D79—48no—
704C4×D79—48no—
705C4×D79—48no—
706C4×D79—48no—
707C4×D79—44no—
708C4×D79—44no—
709C4×D79—48no—
710C4×D79C2×#4118yes—
711Dic158—24no—
712Dic158—48no—
713Dic158—44no—
714Dic158C2×#4114yes—
715C22×C79—22no—
716C22×C79—24no—
717C22×C79—22no—
718C22×C79—24no—
719C22×C79—24no—
720C22×C79—24no—
721C22×C79C22×#4112yes—
722C22×C79C2611yescharacteristic
723C2×D79—24no—
724C2×D79—21no—
725C2×D79—28no—
726C2×D79—21no—
727C2×D79—22no—
728C2×D79—28no—
729C2×D79—28no—
730C2×D79—22no—
731C2×D79—816no—
732C2×D79—84no—
733C2×D79—82no—
734C2×D79—88no—
735C2×D79C22×#4114yes—
736C4×C79—22no—
737C4×C79—24no—
738C4×C79—22no—
739C4×C79—24no—
740C4×C79—28no—
741C4×C79—22no—
742C4×C79C22×#4112yes—
743C4×C79C22×#4112yes—
744Dic79—21no—
745Dic79—21no—
746Dic79—24no—
747Dic79—24no—
748Dic79—24no—
749Dic79—22no—
750Dic79—22no—
751Dic79C22×#4114yes—
752#62858—791nomaximal, Sylow
753C2×C79—22no—
754C2×C79—44no—
755C2×C79—42no—
756C2×C79C23×#4111yescharacteristic
757C2×C79H(7,𝔽2)12yes—
758D79—24no—
759D79—41no—
760D79—48no—
761D79—41no—
762#3524—794no—
763#3519—798no—
764#3519—794no—
765#3517—794no—
766#3513—798no—
767#3513—794no—
768#3512—792no—
769#3512D7911yescharacteristic, complemented
770#3508—792no—
771#3508—791no—
772#3504—791no—
773#3498—791no—
774#3494—794no—
775#3494—792no—
776#3488—792no—
777#3460—792no—
778#3460—794no—
779#3455—792no—
780#3455—791no—
781C2×#540—792no—
782C2×#540—791no—
783C4×H(5,𝔽2)—792no—
784#3428—791no—
785C79#6285811yescharacteristic, complemented, Sylow
786C2×H(5,𝔽2)—792no—
787C22×#41—791no—
788#559—798no—
789#559—794no—
790#557—794no—
791#555—794no—
792#555—798no—
793#554—794no—
794#554—798no—
795#553—798no—
796#553—798no—
797#553—798no—
798#553—798no—
799#553—798no—
800#553—794no—
801#553—794no—
802#553C2×D7918yescomplemented
803#553C2×D7914yescomplemented
804#552—798no—
805#552C2×D7914yescomplemented
806#551—798no—
807#551—798no—
808#551—798no—
809#550—794no—
810#550—798no—
811#550—794no—
812#550—794no—
813#548—794no—
814#547—798no—
815#547—794no—
816#546—798no—
817#546—798no—
818#546—794no—
819#546—798no—
820#546—798no—
821#546—798no—
822#546—798no—
823#546—798no—
824D42—798no—
825D42—794no—
826D42—798no—
827D42—794no—
828#544—794no—
829#544—792no—
830#542—798no—
831#542—792no—
832#542—792no—
833#542—794no—
834#542—794no—
835#542—794no—
836#541—791no—
837#541—791no—
838#541C2×D7912yescomplemented
839#540—791no—
840#540—791no—
841#540—792no—
842#540—792no—
843#540—792no—
844#540—792no—
845#540—794no—
846#540—794no—
847#540—798no—
848#540—798no—
849#540—798no—
850#540—794no—
851#540—794no—
852#540—794no—
853#540—792no—
854#540—792no—
855#540C2×D7912yescomplemented
856#539—798no—
857#539—794no—
858#538—798no—
859#538—798no—
860#538—798no—
861#538—794no—
862#538—798no—
863#537—794no—
864#537C2×D7912yescomplemented
865#535—792no—
866#535—792no—
867#535—794no—
868#535—794no—
869#533—792no—
870#533—791no—
871#532—792no—
872#532—794no—
873#532—794no—
874#532—794no—
875#532—798no—
876#532—794no—
877#532C2×D7911yescharacteristic, complemented
878C2×#127—792no—
879C2×#127—791no—
880#529—798no—
881#529—798no—
882#529—794no—
883#529—794no—
884#529—794no—
885#529—794no—
886#529—794no—
887#529—798no—
888#529C2×D7914yescomplemented
889C2×#125—792no—
890C2×#125C2×D7911yescharacteristic, complemented
891#525—792no—
892#525—794no—
893#525—798no—
894#525—798no—
895#525—798no—
896C2×#123—798no—
897C2×#123—794no—
898C2×#121—794no—
899C2×#121—798no—
900C2×#121—792no—
901C2×#121—794no—
902#520—792no—
903#520—794no—
904#520—794no—
905#520—792no—
906#520—792no—
907#520—794no—
908#520C2×D7912yescomplemented
909#519—792no—
910#518—794no—
911#518—792no—
912#518—794no—
913#518—798no—
914#518—792no—
915#518—794no—
916C4×#41—791no—
917C4×#41—792no—
918C4×#41—794no—
919C4×#41—791no—
920C4×#41—792no—
921C4×#41—794no—
922C4×#41—792no—
923C4×#41—791no—
924C4×#41C2×D7911yescharacteristic, complemented
925C2×C4×D4—794no—
926C2×C4×D4—798no—
927C2×C4×D4—792no—
928C2×C4×D4—794no—
929C2×#117—792no—
930C2×#117—791no—
931C2×#117—791no—
932C2×#117—792no—
933H(5,𝔽2)—15816no—
934C2×#41—794no—
935C2×#41—791no—
936C2×#41—798no—
937C2×#41—792no—
938C2×#41—791no—
939C2×#41—791no—
940C2×#41—798no—
941C2×#41—798no—
942C2×#41—792no—
943C2×#41—794no—
944C2×#41—1588no—
945C2×#41C22×D7911yescharacteristic
946C2×#41C22×D7912yes—
947C22×Q8—791no—
948C22×D4—798no—
949C22×D4—798no—
950C22×D4—794no—
951C22×D4—798no—
952C22×D4—792no—
953C22×D4—791no—
954C22×D4—794no—
955C22×D4—794no—
956C22×D4—792no—
957C22×D4—794no—
958C23×C4—794no—
959C23×C4—798no—
960C23×C4—792no—
961C23×C4—791no—
962C4⋊Q8—794no—
963C4⋊Q8—798no—
964C4⋊Q8—794no—
965C4⋊Q8—792no—
966C4⋊Q8C22×D7911yescharacteristic
967#127—794no—
968#127—798no—
969#127—794no—
970#127—798no—
971#127—792no—
972#127—792no—
973#127—794no—
974#127C22×D7911yescharacteristic
975#126—794no—
976#126—798no—
977#126—794no—
978#126—798no—
979#126—798no—
980#126—794no—
981#126—794no—
982#126—798no—
983#126C22×D7918yes—
984#126C22×D7918yes—
985#125—794no—
986#125—798no—
987#125—794no—
988#125—794no—
989#125—798no—
990#125—794no—
991#125—791no—
992#125—791no—
993#125C22×D7912yes—
994#125C22×D7912yes—
995#125C22×D7914yes—
996#125C22×D7918yes—
997#124—794no—
998#124—794no—
999#124—794no—
1000#124—798no—
1001#124—798no—
1002#124—794no—
1003#124—798no—
1004#124—798no—
1005#124—798no—
1006#124—798no—
1007#124C22×D7912yes—
1008#123—794no—
1009#123—794no—
1010#123—794no—
1011#123—798no—
1012#123—798no—
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—794no—
1026#123—798no—
1027#123—794no—
1028#123C22×D7918yes—
1029#123C22×D7918yes—
1030C22⋊Q8—792no—
1031C22⋊Q8—792no—
1032C22⋊Q8—798no—
1033C22⋊Q8—794no—
1034C22⋊Q8—798no—
1035C22⋊Q8—798no—
1036C22⋊Q8—798no—
1037C22⋊Q8—798no—
1038C22⋊Q8—798no—
1039C22⋊Q8—798no—
1040C22⋊Q8—794no—
1041C22⋊Q8—794no—
1042C22⋊Q8C22×D7914yes—
1043C22⋊Q8C22×D7914yes—
1044#121—792no—
1045#121—794no—
1046#121—798no—
1047#121—798no—
1048#121—798no—
1049#121—792no—
1050#121—794no—
1051#121—798no—
1052#121—794no—
1053#121—798no—
1054#121—794no—
1055#121—794no—
1056#121—794no—
1057#121—798no—
1058#121—794no—
1059#121—798no—
1060#121—798no—
1061#121—794no—
1062#121—794no—
1063#121—798no—
1064#121—794no—
1065#121—798no—
1066#121—798no—
1067#121—798no—
1068#121—798no—
1069#121—798no—
1070#121—798no—
1071#121—798no—
1072#121—798no—
1073#121—798no—
1074#121—798no—
1075#121—798no—
1076#121—798no—
1077#121C22×D7914yes—
1078#121C22×D7918yes—
1079#121C22×D7918yes—
1080#121C22×D7914yes—
1081#121C22×D7914yes—
1082#120—798no—
1083#120—798no—
1084#120—798no—
1085#120—794no—
1086#120—798no—
1087#120—798no—
1088#120—798no—
1089#120—798no—
1090C4×Q8—792no—
1091C4×Q8—792no—
1092C4×Q8—792no—
1093C4×Q8—792no—
1094C4×Q8—794no—
1095C4×Q8—794no—
1096C4×Q8—798no—
1097C4×Q8—794no—
1098C4×Q8—792no—
1099C4×Q8—794no—
1100C4×Q8C22×D7914yes—
1101C4×Q8C22×D7912yes—
1102C4×D4—794no—
1103C4×D4—792no—
1104C4×D4—794no—
1105C4×D4—792no—
1106C4×D4—794no—
1107C4×D4—792no—
1108C4×D4—798no—
1109C4×D4—798no—
1110C4×D4—798no—
1111C4×D4—794no—
1112C4×D4—794no—
1113C4×D4—794no—
1114C4×D4—794no—
1115C4×D4—794no—
1116C4×D4—798no—
1117C4×D4—792no—
1118C4×D4—798no—
1119C4×D4—794no—
1120C4×D4—794no—
1121C4×D4—794no—
1122C4×D4—794no—
1123C4×D4—794no—
1124C4×D4—798no—
1125C4×D4—794no—
1126C4×D4—794no—
1127C4×D4—794no—
1128C4×D4—798no—
1129C4×D4—798no—
1130C4×D4—794no—
1131C4×D4—798no—
1132C4×D4—798no—
1133C4×D4—794no—
1134C4×D4—794no—
1135C4×D4—798no—
1136C4×D4—798no—
1137C4×D4—798no—
1138C4×D4—794no—
1139C4×D4—798no—
1140C4×D4—798no—
1141C4×D4—794no—
1142C4×D4—794no—
1143C4×D4—792no—
1144C4×D4—798no—
1145C4×D4—798no—
1146C4×D4C22×D7914yes—
1147C4×D4C22×D7918yes—
1148C4×D4C22×D7914yes—
1149C4×D4C22×D7912yes—
1150C4×D4C22×D7918yes—
1151C4×D4C22×D7914yes—
1152#117—791no—
1153#117—792no—
1154#117—792no—
1155#117—794no—
1156#117—794no—
1157#117—792no—
1158#117—794no—
1159#117—798no—
1160#117—798no—
1161#117—794no—
1162#117—792no—
1163#117—791no—
1164#117—791no—
1165#117—792no—
1166#117—792no—
1167#117—792no—
1168#117—791no—
1169#117—791no—
1170#117—792no—
1171#117—794no—
1172#117—792no—
1173#117—794no—
1174#117—798no—
1175#117—798no—
1176#117C22×D7911yescharacteristic
1177#117C22×D7912yes—
1178#117C22×D7914yes—
1179#117C22×D7918yes—
1180C2×C4⋊C4—792no—
1181C2×C4⋊C4—794no—
1182C2×C4⋊C4—794no—
1183C2×C4⋊C4—792no—
1184C2×C4⋊C4—794no—
1185C2×C4⋊C4—798no—
1186C2×C4⋊C4—798no—
1187C2×C4⋊C4C22×D7912yes—
1188C2×C4⋊C4C22×D7914yes—
1189C2×C4⋊C4C22×D7914yes—
1190C2×C22⋊C4—792no—
1191C2×C22⋊C4—794no—
1192C2×C22⋊C4—794no—
1193C2×C22⋊C4—798no—
1194C2×C22⋊C4—794no—
1195C2×C22⋊C4—794no—
1196C2×C22⋊C4—792no—
1197C2×C22⋊C4—798no—
1198C2×C22⋊C4—798no—
1199C2×C22⋊C4—798no—
1200C2×C22⋊C4—798no—
1201C2×C42—791no—
1202C2×C42—792no—
1203C2×C42—794no—
1204C2×C42—792no—
1205C2×C42—792no—
1206C2×C42—792no—
1207C2×C42—798no—
1208C2×C42C22×D7911yescharacteristic
1209C2×C42C22×D7912yes—
1210C24—798no—
1211C24—794no—
1212C24—792no—
1213C24—791no—
1214#41—24no—
1215#41—28no—
1216#41—798no—
1217#41—6328no—
1218#41—6328no—
1219#41—6328no—
1220#41—1588no—
1221#41—15816no—
1222#41—15816no—
1223#41—1588no—
1224#41—1584no—
1225#41—1584no—
1226C2×Q8—798no—
1227C2×Q8—794no—
1228C2×Q8—791no—
1229C2×Q8—792no—
1230C2×Q8—1584no—
1231C2×Q8C23×D7912yes—
1232C2×Q8C23×D7911yescharacteristic
1233C2×D4—798no—
1234C2×D4—794no—
1235C2×D4—798no—
1236C2×D4—798no—
1237C2×D4—794no—
1238C2×D4—798no—
1239C2×D4—792no—
1240C2×D4—792no—
1241C2×D4—798no—
1242C2×D4—792no—
1243C2×D4—798no—
1244C2×D4—798no—
1245C2×D4—798no—
1246C2×D4—798no—
1247C2×D4—791no—
1248C2×D4—792no—
1249C2×D4—798no—
1250C2×D4—794no—
1251C2×D4—794no—
1252C2×D4—6324no—
1253C2×D4—6324no—
1254C2×D4—6328no—
1255C2×D4—6328no—
1256C2×D4—15816no—
1257C2×D4—15816no—
1258C2×D4—1588no—
1259C2×D4—1584no—
1260C2×D4—15832no—
1261C2×D4—1588no—
1262C2×D4C23×D7912yes—
1263C2×D4C23×D7914yes—
1264C2×D4C23×D7912yes—
1265C2×D4C23×D7911yescharacteristic
1266C2×D4C23×D7918yes—
1267C2×D4C23×D7914yes—
1268C22×C4—792no—
1269C22×C4—794no—
1270C22×C4—794no—
1271C22×C4—794no—
1272C22×C4—794no—
1273C22×C4—798no—
1274C22×C4—794no—
1275C22×C4—794no—
1276C22×C4—798no—
1277C22×C4—798no—
1278C22×C4—798no—
1279C22×C4—798no—
1280C22×C4—792no—
1281C22×C4—791no—
1282C22×C4—792no—
1283C22×C4—791no—
1284C22×C4—798no—
1285C22×C4—792no—
1286C22×C4—791no—
1287C22×C4—792no—
1288C22×C4—791no—
1289C22×C4—791no—
1290C22×C4—6324no—
1291C22×C4—6328no—
1292C22×C4—1588no—
1293C22×C4—1584no—
1294C22×C4C23×D7912yes—
1295C22×C4C23×D7914yes—
1296C22×C4C23×D7912yes—
1297C22×C4C23×D7914yes—
1298C22×C4C23×D7914yes—
1299C22×C4C23×D7918yes—
1300C22×C4C23×D7911yescharacteristic
1301C4⋊C4—794no—
1302C4⋊C4—792no—
1303C4⋊C4—794no—
1304C4⋊C4—792no—
1305C4⋊C4—798no—
1306C4⋊C4—794no—
1307C4⋊C4—794no—
1308C4⋊C4—792no—
1309C4⋊C4—792no—
1310C4⋊C4—798no—
1311C4⋊C4—794no—
1312C4⋊C4—794no—
1313C4⋊C4—798no—
1314C4⋊C4—794no—
1315C4⋊C4—792no—
1316C4⋊C4—794no—
1317C4⋊C4—792no—
1318C4⋊C4—794no—
1319C4⋊C4—798no—
1320C4⋊C4—792no—
1321C4⋊C4—794no—
1322C4⋊C4—794no—
1323C4⋊C4C23×D7912yes—
1324C4⋊C4C23×D7914yes—
1325C4⋊C4C23×D7918yes—
1326C4⋊C4C23×D7918yes—
1327C4⋊C4C23×D7914yes—
1328C4⋊C4C23×D7914yes—
1329C4⋊C4C23×D7918yes—
1330C4⋊C4C23×D7918yes—
1331C4⋊C4C23×D7914yes—
1332C22⋊C4—794no—
1333C22⋊C4—794no—
1334C22⋊C4—794no—
1335C22⋊C4—794no—
1336C22⋊C4—792no—
1337C22⋊C4—794no—
1338C22⋊C4—794no—
1339C22⋊C4—794no—
1340C22⋊C4—792no—
1341C22⋊C4—792no—
1342C22⋊C4—794no—
1343C22⋊C4—798no—
1344C22⋊C4—798no—
1345C22⋊C4—798no—
1346C22⋊C4—798no—
1347C22⋊C4—798no—
1348C22⋊C4—798no—
1349C22⋊C4—794no—
1350C22⋊C4—792no—
1351C22⋊C4—792no—
1352C22⋊C4—798no—
1353C22⋊C4—798no—
1354C22⋊C4—798no—
1355C22⋊C4—794no—
1356C22⋊C4—798no—
1357C22⋊C4—798no—
1358C22⋊C4—794no—
1359C22⋊C4C23×D7912yes—
1360C22⋊C4C23×D7918yes—
1361C22⋊C4C23×D7914yes—
1362C22⋊C4C23×D7918yes—
1363C22⋊C4C23×D7914yes—
1364C22⋊C4C23×D7918yes—
1365C22⋊C4C23×D7914yes—
1366C42—794no—
1367C42—792no—
1368C42—791no—
1369C42—791no—
1370C42—792no—
1371C42—794no—
1372C42—794no—
1373C42—794no—
1374C42—794no—
1375C42—798no—
1376C42—794no—
1377C42—794no—
1378C42C23×D7912yes—
1379C42C23×D7911yescharacteristic
1380C42C23×D7918yes—
1381C42C23×D7911yescharacteristic
1382C42C23×D7914yes—
1383C42C23×D7912yes—
1384C23—3164no—
1385C23—3168no—
1386C23—3162no—
1387C23—3164no—
1388C23—3164no—
1389C23—3168no—
1390C23—792no—
1391C23—791no—
1392C23—798no—
1393C23—791no—
1394C23—1584no—
1395C23—15816no—
1396C23—1582no—
1397C23—1588no—
1398C23C24×D7914yes—
1399C23C24×D7912yes—
1400C23C24×D7911yescharacteristic
1401Q8—22no—
1402Q8—24no—
1403Q8—3164no—
1404Q8—3168no—
1405Q8—794no—
1406Q8—1584no—
1407D4—28no—
1408D4—24no—
1409D4—24no—
1410D4—22no—
1411D4—44no—
1412D4—48no—
1413D4—3168no—
1414D4—3168no—
1415D4—3168no—
1416D4—3168no—
1417D4—3164no—
1418D4—3168no—
1419D4—3168no—
1420D4—3168no—
1421D4—3164no—
1422D4—3168no—
1423D4—798no—
1424D4—794no—
1425D4—15816no—
1426D4—1584no—
1427D4—15816no—
1428D4—1584no—
1429D4—1584no—
1430D4—1588no—
1431D4—1588no—
1432C2×C4—24no—
1433C2×C4—28no—
1434C2×C4—44no—
1435C2×C4—48no—
1436C2×C4—42no—
1437C2×C4—44no—
1438C2×C4—3164no—
1439C2×C4—3168no—
1440C2×C4—3168no—
1441C2×C4—3168no—
1442C2×C4—3168no—
1443C2×C4—3164no—
1444C2×C4—3164no—
1445C2×C4—3168no—
1446C2×C4—3162no—
1447C2×C4—3164no—
1448C2×C4—3164no—
1449C2×C4—3164no—
1450C2×C4—792no—
1451C2×C4—798no—
1452C2×C4—792no—
1453C2×C4—792no—
1454C2×C4—791no—
1455C2×C4—794no—
1456C2×C4—794no—
1457C2×C4—794no—
1458C2×C4—791no—
1459C2×C4—1584no—
1460C2×C4—15816no—
1461C2×C4—1584no—
1462C2×C4—1584no—
1463C2×C4—1582no—
1464C2×C4—1582no—
1465C2×C4—1582no—
1466C2×C4—1582no—
1467C2×C4—1582no—
1468C2×C4#41×D7914yes—
1469C2×C4C24×D7914yes—
1470C2×C4C24×D7912yes—
1471C2×C4C24×D7914yes—
1472C2×C4C24×D7912yes—
1473C2×C4C24×D7918yes—
1474C2×C4C24×D7912yes—
1475C2×C4C24×D7911yescharacteristic
1476C2×C4C24×D7911yescharacteristic
1477C22—22no—
1478C22—22no—
1479C22—24no—
1480C22—24no—
1481C22—24no—
1482C22—24no—
1483C22—794no—
1484C22—6322no—
1485C22—6328no—
1486C22—63216no—
1487C22—6324no—
1488C22—1581no—
1489C22—1581no—
1490C22—1588no—
1491C22—1588no—
1492C22—1582no—
1493C22—1588no—
1494C22—1582no—
1495C22—1584no—
1496C22C2×#41×D7912yes—
1497C22C25×D7911yescharacteristic
1498C4—24no—
1499C4—22no—
1500C4—24no—
1501C4—22no—
1502C4—28no—
1503C4—22no—
1504C4—794no—
1505C4—1581no—
1506C4—1581no—
1507C4—1582no—
1508C4—1582no—
1509C4—1584no—
1510C4—1584no—
1511C4—1584no—
1512C4C2×#41×D7912yes—
1513C4C2×#41×D7912yes—
1514C2—22no—
1515C2—44no—
1516C2—42no—
1517C2—3161no—
1518C2—3168no—
1519C2—3161no—
1520C2—1584no—
1521C2C22×#41×D7911yescharacteristic
1522C2#2377821112yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3512C2
hypercenter#3512D79
hypocenterC79#62858
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3512

Complements

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

NH ≅ G/Ntype
1. #23777506C2semidirect
2. #23777428C2semidirect
3. #23777425C2semidirect
4. #23777399C2semidirect
5. #23777345C2semidirect
6. #23777331C2semidirect
7. #23777323C2semidirect
8. #23777276C2semidirect
9. #23777272C2semidirect
10. #23777224C2semidirect
11. #23777173C2semidirect
12. #23777136C2semidirect
13. #23777123C2semidirect
14. #23777064C2semidirect
15. #23776821C2semidirect
16. #23776817C2semidirect
17. #23776791C2semidirect
18. #23776789C2semidirect
19. C2×#19099169C2semidirect
20. #540×D79C2semidirect
21. #23776606C2semidirect
22. #23776599C2semidirect
23. C79×#3512C2semidirect
26. #19099298C22semidirect
27. #19099297C22semidirect
28. #19099290C22semidirect
29. #19099276C22semidirect
30. #19099276C22semidirect
31. #19099269C22semidirect
32. #19099268C22semidirect
33. #19099266C22semidirect
34. #19099264C22semidirect
35. #19099264C22semidirect
36. #19099264C22semidirect
37. #19099262C22semidirect
38. #19099261C22semidirect
39. #19099257C22semidirect
40. #19099245C22semidirect
41. #19099242C22semidirect
42. #19099238C22semidirect
43. #19099237C22semidirect
44. #19099234C22semidirect
45. #19099234C22semidirect
46. #19099231C22semidirect
47. #19099231C22semidirect
48. #19099223C22semidirect
49. #19099214C22semidirect
50. #19099211C22semidirect
51. #19099209C22semidirect
52. #19099209C22semidirect
53. #19099208C22semidirect
54. #19099205C22semidirect
55. #19099205C22semidirect
56. #19099204C22semidirect
57. #19099202C22semidirect
58. #19099202C22semidirect
59. D4×D316C22semidirect
60. #19099197C22semidirect
61. #19099197C22semidirect
62. #19099197C22semidirect
63. #19099194C22semidirect
64. #19099193C22semidirect
65. #19099186C22semidirect
66. #19099186C22semidirect
67. #19099185C22semidirect
68. #19099182C22semidirect
69. #19099182C22semidirect
70. #19099179C22semidirect
71. #19099174C22semidirect
72. #19099174C22semidirect
73. #19099169C22semidirect
74. #19099169C22semidirect
75. #19099169C22semidirect
76. #19099169C22semidirect
77. #19099169C22semidirect
78. #19099169C22semidirect
79. #19099168C22semidirect
80. #19099168C22semidirect
81. #19099167C22semidirect
82. #19099167C22semidirect
83. #19099166C22semidirect
84. #19099166C22semidirect
85. #19099165C22semidirect
86. #19099165C22semidirect
87. #19099164C22semidirect
88. #19099163C22semidirect
89. #19099161C22semidirect
90. #19099158C22semidirect
91. #19099152C22semidirect
92. #19099152C22semidirect
93. #19099150C22semidirect
94. #19099150C22semidirect
95. #19099149C22semidirect
96. #19099143C22semidirect
97. #19099131C22semidirect
98. #19099129C22semidirect
99. #19099127C22semidirect
100. #19099127C22semidirect
101. #19099120C22semidirect
102. #19099119C22semidirect
103. #19099114C22semidirect
104. #19099113C22semidirect
105. #19099110C22semidirect
106. #19099110C22semidirect
107. #19099108C22semidirect
108. #19099108C22semidirect
109. C2×#14579158C22semidirect
110. #127×D79C22semidirect
111. #19099100C22semidirect
112. #19099099C22semidirect
113. #19099099C22semidirect
114. #19099098C22semidirect
115. #19099096C22semidirect
116. #19099093C22semidirect
117. #19099093C22semidirect
118. #19099091C22semidirect
119. #125×D79C22semidirect
120. #19099076C22semidirect
121. #19099075C22semidirect
122. #19099073C22semidirect
123. #19099072C22semidirect
124. #19099070C22semidirect
125. C2×#14579146C22semidirect
126. #123×D79C22semidirect
127. C2×#14579136C22semidirect
128. C2×#14579136C22semidirect
129. #121×D79C22semidirect
130. #121×D79C22semidirect
131. #19099045C22semidirect
132. #19099045C22semidirect
134. #19099044C22semidirect
135. #19099042C22semidirect
136. #19099042C22semidirect
137. #19099039C22semidirect
138. #19099037C22semidirect
139. #19099037C22semidirect
140. #19099035C22semidirect
141. #19099035C22semidirect
142. #19099035C22semidirect
143. #19099035C22semidirect
144. #41×Dic79C22semidirect
145. #41×Dic79C22semidirect
146. C4×#11929625C22semidirect
148. C4×#11929624C22semidirect
150. #19099031C22semidirect
151. #19099031C22semidirect
152. C2×#14579123C22semidirect
153. C2×#14579123C22semidirect
154. C4×D4×D79C22semidirect
155. C4×D4×D79C22semidirect
156. C2×#14579118C22semidirect
157. C2×#14579118C22semidirect
158. #117×D79C22semidirect
159. #117×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
458. #11929624#41semidirect
769. #3512D79semidirect
785. C79#62858semidirect
802. #553C2×D79semidirect
803. #553C2×D79semidirect
805. #552C2×D79semidirect
838. #541C2×D79semidirect
855. #540C2×D79semidirect
864. #537C2×D79semidirect
877. #532C2×D79semidirect
888. #529C2×D79semidirect
890. C2×#125C2×D79semidirect
908. #520C2×D79semidirect
924. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237775062
#237774282
#237774252
#237773992
#237773452
#237773312
#237773232
#237772762
#237772722
#237772242
#237771732
#237771362
#237771232
#237770642
#237768212
#237768172
#237767912
#237767892
C2×#190991692
#540×D792
#237766062
#237765992
C79×#35122
#6285879