Finite Group Databasebeta

← #35196498

Subgroups — #35196498

Order 20224.

7094 conjugacy classes of subgroups.

The subgroup lattice has 1506 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777489C214yesmaximal, complemented
2#23777478C214yesmaximal, complemented
3#23777390C214yesmaximal, complemented
4#23777384C214yesmaximal, complemented
5#23777260C214yesmaximal, complemented
6#23777258C212yesmaximal, complemented
7#23777208C211yesmaximal, characteristic, complemented
8#23777169C211yesmaximal, characteristic, complemented
9#23777109C211yesmaximal, characteristic, complemented
10#23777101C214yesmaximal, complemented
11#23777047C212yesmaximal, complemented
12#23777014C214yesmaximal, complemented
13#23777012C214yesmaximal, complemented
14#23776994C214yesmaximal, complemented
15#23776979C214yesmaximal, complemented
16#23776834C211yesmaximal, characteristic, complemented
17#23776830C214yesmaximal, complemented
18#23776828C211yesmaximal, characteristic, complemented
19#23776692C212yesmaximal, complemented
20#23776692C214yesmaximal, complemented
21#23776611C212yesmaximal, complemented
22C22×#14579126C211yesmaximal, characteristic, complemented
23C79×#3492C211yesmaximal, characteristic, complemented
24C2×#14579208C2212yes—
25C23×Dic158C2211yescharacteristic
26#19099297C2218yescomplemented
27#19099296C2214yescomplemented
28#19099293C2214yescomplemented
29#19099291C2214yescomplemented
30#19099290C2214yescomplemented
31#19099290C2214yescomplemented
32#19099290C2218yescomplemented
33#19099288C2214yescomplemented
34#19099285C2214yescomplemented
35#19099284C2218yescomplemented
36#19099283C2214yescomplemented
37#19099281C2214yescomplemented
38#19099280C2218yescomplemented
39#19099280C2218yescomplemented
40#19099272C2218yes—
41#19099268C2214yes—
42#19099268C2214yescomplemented
43#19099267C2218yes—
44#19099267C2218yescomplemented
45#19099262C2218yes—
46#19099261C2214yes—
47#19099256C2218yes—
48#19099252C2214yescomplemented
49#19099250C2218yes—
50#19099250C2218yescomplemented
51#19099248C2214yes—
52#19099248C2214yescomplemented
53#19099246C2218yes—
54#19099245C2218yescomplemented
55#19099231C2214yescomplemented
56D4×Dic158C2214yes—
57D4×Dic158C2214yes—
58#19099226C2214yes—
59#19099226C2214yes—
60#19099226C2214yescomplemented
61#19099223C2214yescomplemented
62#19099222C2214yes—
63#19099222C2214yes—
64#19099219C2214yes—
65#19099219C2214yes—
66#19099219C2214yescomplemented
67#19099214C2214yes—
68#19099212C2218yes—
69#19099211C2218yes—
70#19099194C2211yescharacteristic
71#19099192C2214yes—
72#19099187C2214yescomplemented
73#19099183C2218yescomplemented
74#19099181C2218yescomplemented
75#19099180C2214yescomplemented
76#19099176C2214yescomplemented
77#19099173C2214yescomplemented
78#19099172C2218yescomplemented
79#19099170C2218yescomplemented
80#19099162C2214yes—
81#19099160C2214yes—
82#19099158C2214yes—
83#19099155C2218yes—
84#19099144C2211yescharacteristic
85#19099140C2214yes—
86#19099139C2212yes—
87#19099135C2218yes—
88#19099134C2212yes—
89#19099119C2218yescomplemented
90#19099118C2214yescomplemented
91#19099116C2212yes—
92#19099116C2214yes—
93#19099115C2214yes—
94#19099115C2212yes—
95#19099115C2212yes—
96#19099115C2214yes—
97#19099115C2214yescomplemented
98#19099115C2218yescomplemented
99#19099109C2212yes—
100#19099109C2214yes—
101#19099108C2214yes—
102#19099108C2212yes—
103#19099108C2212yes—
104#19099108C2214yes—
105#19099099C2214yes—
106#19099099C2212yes—
107#19099099C2214yes—
108#19099099C2212yes—
109#19099098C2214yescomplemented
110#19099096C2218yescomplemented
111#19099094C2214yes—
112#19099094C2212yes—
113#19099094C2214yes—
114#19099094C2212yes—
115#19099094C2214yescomplemented
116#19099093C2214yes—
117#19099093C2218yes—
118#19099093C2214yes—
119#19099093C2218yes—
120#19099090C2214yes—
121#19099090C2218yes—
122#19099090C2214yes—
123#19099090C2218yes—
124#19099090C2218yescomplemented
125#19099074C2212yes—
126#19099074C2214yes—
127#19099069C2218yes—
128#19099069C2214yes—
129#19099069C2214yes—
130#19099044C2212yes—
131#19099044C2214yescomplemented
132#19099042C2218yes—
133#19099042C2214yescomplemented
134#19099040C2212yes—
135#19099040C2214yescomplemented
136#19099039C2214yescomplemented
137#41×Dic79C2212yes—
138#41×Dic79C2214yes—
139#19099031C2212yes—
140#19099031C2214yes—
141#19099031C2214yescomplemented
142C4×#11929623C2218yes—
143C4×#11929623C2214yes—
144C4×#11929623C2218yes—
145C4×#11929623C2214yes—
146C4×#11929623C2214yescomplemented
147C2×#14579126C2211yescharacteristic
148C2×#14579126C2212yes—
149C2×#14579126C2211yescharacteristic
150C2×#14579126C2214yes—
151C2×#14579126C2211yescharacteristic
152C2×#14579126C2214yes—
153C2×#14579126C2214yes—
154C2×#14579126C2211yescharacteristic
155C2×#14579126C2212yes—
156C2×#14579126C2214yes—
157C2×#14579126C2214yescomplemented
158C4×Q8×D79C2214yescomplemented
159C22×Dic79⋊C4C2212yes—
160C22×C4×Dic79C2211yescharacteristic
161C22×C4×Dic79C2212yes—
162#554×C79C2214yes—
163#553×C79C2214yes—
164#552×C79C2214yes—
165#547×C79C2214yes—
166#544×C79C2211yescharacteristic
167#539×C79C2214yes—
168#537×C79C2211yescharacteristic
169#525×C79C2212yes—
170#525×C79C2214yes—
171#520×C79C2212yes—
172C22×C4⋊C4×C79C2211yescharacteristic
173#14579208—216no—
174C2×#11929624C2312yes—
175C2×#11929624C2314yes—
176C2×#11929624C2314yes—
177C2×#11929623C2318yes—
178C2×#11929623C2314yes—
179C2×#11929623C2314yes—
180C2×#11929623C2314yes—
181C22×Dic158—28no—
182C22×Dic158C2311yescharacteristic
183C22×Dic158C2314yes—
184C22×Dic158C2314yes—
185C22×Dic158C2314yes—
186C22×Dic158C2312yes—
187C22×Dic158C2311yescharacteristic
188C2×Q8×D79C2314yes—
189C23×Dic79C2311yescharacteristic
190C23×Dic79C2312yes—
191C23×Dic79C2311yescharacteristic
192#14579161C2314yes—
193#14579160C2318yes—
194#14579160C2318yes—
195#14579160C2314yes—
196#14579160C2318yes—
197#14579160C2314yes—
198#14579160C2312yes—
199#14579160C2314yes—
200#14579160C2312yes—
201#14579159C2314yes—
202#14579159C2318yes—
203#14579159C2312yes—
204#14579159C2314yes—
205#14579157C2312yes—
206#14579157C2314yes—
207#14579156C2318yes—
208#14579156C2318yes—
209#14579156C2314yes—
210#14579156C2318yes—
211#14579156C2314yes—
212#14579156C2318yes—
213#14579155C2318yes—
214#14579154C2318yes—
215#14579154C2318yes—
216#14579154C2314yes—
217#14579154C2318yes—
218#14579154C2314yes—
219#14579154C2318yes—
220#14579153C2318yes—
221#14579152C2318yes—
222#14579152C2314yes—
223#14579152C2314yes—
224#14579152C2314yes—
225#14579152C2312yes—
226#14579152C2312yes—
227#14579151C2318yes—
228#14579151C2318yes—
229#14579151C2318yes—
230#14579151C2314yes—
231#14579151C2318yes—
232#14579151C2318yes—
233#14579151C2318yes—
234#14579151C2314yes—
235#14579151C2318yes—
236#14579150C2314yes—
237#14579150C2312yes—
238#14579149C2314yes—
239#14579148C2314yes—
240#14579148C2314yes—
241#14579148C2312yes—
242#14579147C2314yes—
243#14579147C2318yes—
244#14579147C2318yes—
245#14579147C2318yes—
246#14579147C2314yes—
247#14579147C2318yes—
248#14579146C2318yes—
249#14579146C2318yes—
250#14579145C2318yes—
251#14579145C2314yes—
252#14579145C2314yes—
253#14579144C2318yes—
254#14579144C2314yes—
255#14579144C2318yes—
256#14579143C2318yes—
257#14579142C2318yes—
258#14579142C2318yes—
259#14579142C2314yes—
260#14579142C2314yes—
261#14579141C2314yes—
262#14579141C2314yes—
263#14579141C2314yes—
264#14579140C2318yes—
265#14579140C2314yes—
266#14579140C2314yes—
267#14579140C2314yes—
268#14579140C2312yes—
269#14579140C2312yes—
270#14579140C2314yes—
271#14579139C2318yes—
272#14579139C2318yes—
273#14579139C2318yes—
274#14579139C2318yes—
275#14579139C2318yes—
276#14579138C2318yes—
277#14579138C2314yes—
278#14579138C2318yes—
279#14579138C2318yes—
280#14579138C2318yes—
281#14579138C2318yes—
282#14579138C2318yes—
283#14579138C2314yes—
284#14579138C2314yes—
285#14579138C2314yes—
286#14579137C2318yes—
287#14579136C2314yes—
288#14579135C2314yes—
289#14579135C2312yes—
290#14579135C2312yes—
291#14579135C2314yes—
292#14579134C2318yes—
293#14579133C2314yes—
294#14579133C2318yes—
295#14579133C2318yes—
296#14579133C2318yes—
297#14579133C2314yes—
298#14579133C2314yes—
299#14579133C2314yes—
300#14579130C2314yes—
301Q8×Dic79C2312yes—
302Q8×Dic79C2312yes—
303Q8×Dic79C2314yes—
304Q8×Dic79C2314yes—
305C4×Dic158C2318yes—
306C4×Dic158C2314yes—
307C4×Dic158C2314yes—
308C4×Dic158C2318yes—
309C4×Dic158C2318yes—
310C4×Dic158C2314yes—
311C4×Dic158C2314yes—
312#14579126C2318yes—
313#14579126C2314yes—
314#14579126C2312yes—
315#14579126C2314yes—
316#14579126C2314yes—
317#14579126C2314yes—
318#14579126C2314yes—
319#14579126C2318yes—
320#14579126C2314yes—
321#14579126C2314yes—
322#14579126C2318yes—
323#14579126C2318yes—
324#14579126C2314yes—
325#14579126C2314yes—
326#14579126C2314yes—
327#14579126C2314yes—
328#14579126C2318yes—
329#14579126C2314yes—
330#14579126C2318yes—
331#14579126C2314yes—
332#14579126C2312yes—
333#14579126C2318yes—
334#14579126C2314yes—
335#14579126C2314yes—
336D4×Dic79C2314yes—
337D4×Dic79C2312yes—
338D4×Dic79C2318yes—
339D4×Dic79C2318yes—
340D4×Dic79C2314yes—
341D4×Dic79C2314yes—
342D4×Dic79C2314yes—
343D4×Dic79C2314yes—
344D4×Dic79C2312yes—
345D4×Dic79C2314yes—
346#14579123C2312yes—
347#14579123C2314yes—
348#14579123C2314yes—
349#14579123C2312yes—
350#14579123C2314yes—
351C4×C22⋊D79C2318yes—
352C4×C22⋊D79C2318yes—
353C4×C22⋊D79C2318yes—
354C4×C22⋊D79C2314yes—
355C4×C22⋊D79C2314yes—
356C4×C22⋊D79C2314yes—
357C4×C22⋊D79C2314yes—
358C4×C22⋊D79C2318yes—
359C4×C22⋊D79C2318yes—
360(C22⋊D79)⋊C4C2314yes—
361(C22⋊D79)⋊C4C2318yes—
362(C22⋊D79)⋊C4C2318yes—
363(C22⋊D79)⋊C4C2318yes—
364(C22⋊D79)⋊C4C2318yes—
365(C22⋊D79)⋊C4C2314yes—
366(C22⋊D79)⋊C4C2314yes—
367(C22⋊D79)⋊C4C2314yes—
368(C22⋊D79)⋊C4C2318yes—
369(C22⋊D79)⋊C4C2314yes—
370(C22⋊D79)⋊C4C2314yes—
371#14579120C2314yes—
372#14579120C2312yes—
373#14579120C2314yes—
374#14579120C2318yes—
375#14579119C2318yes—
376#14579119C2314yes—
377#14579119C2314yes—
378#14579119C2318yes—
379#14579119C2314yes—
380#14579118C2314yes—
381#14579118C2318yes—
382#14579118C2318yes—
383#14579117C2318yes—
384#14579117C2318yes—
385#14579117C2314yes—
386#14579117C2318yes—
387#14579117C2314yes—
388#14579117C2314yes—
389#14579117C2314yes—
390#14579117C2318yes—
391C2×Dic79⋊C4C2312yes—
392C2×Dic79⋊C4C2312yes—
393C2×Dic79⋊C4C2312yes—
394C2×Dic79⋊C4C2318yes—
395C2×Dic79⋊C4C2318yes—
396C2×Dic79⋊C4C2318yes—
397C2×Dic79⋊C4C2312yes—
398C4⋊C4×D79C2318yes—
399C4⋊C4×D79C2314yes—
400C2×C4×Dic79C2312yes—
401C2×C4×Dic79C2312yes—
402C2×C4×Dic79C2314yes—
403C2×C4×Dic79C2312yes—
404C2×C4×Dic79C2311yescharacteristic
405C2×C4×Dic79C2314yes—
406C2×C4×Dic79C2311yescharacteristic
407C2×C4×Dic79C2311yescharacteristic
408C2×C4×Dic79C2314yes—
409C2×C4×Dic79C2312yes—
410C2×C4×Dic79C2314yes—
411C2×C4×Dic79C2312yes—
412C2×C4×Dic79C2312yes—
413C2×C4×Dic79C2312yes—
414C2×C4×Dic79C2312yes—
415C2×C4×Dic79C2311yescharacteristic
416C2×C4×Dic79C2318yes—
417C2×C4×Dic79C2314yes—
418C42×D79C2314yes—
419C42×D79C2318yes—
420C2×#41×C79C2312yes—
421C2×#41×C79C2314yes—
422C23×C4×C79C2311yescharacteristic
423C23×C4×C79C2312yes—
424C4⋊Q8×C79C2314yes—
425#126×C79C2318yes—
426#125×C79C2318yes—
427#125×C79C2314yes—
428#123×C79C2318yes—
429#123×C79C2318yes—
430#123×C79C2314yes—
431C22⋊Q8×C79C2314yes—
432C22⋊Q8×C79C2314yes—
433C22⋊Q8×C79C2318yes—
434C22⋊Q8×C79C2312yes—
435C22⋊Q8×C79C2312yes—
436C22⋊Q8×C79C2314yes—
437#121×C79C2314yes—
438#121×C79C2314yes—
439#121×C79C2312yes—
440#121×C79C2312yes—
441#121×C79C2314yes—
442#120×C79C2314yes—
443C4×Q8×C79C2314yes—
444C4×D4×C79C2318yes—
445C4×D4×C79C2314yes—
446C4×D4×C79C2314yes—
447C4×D4×C79C2314yes—
448C4×D4×C79C2318yes—
449#117×C79C2312yes—
450#117×C79C2314yes—
451#117×C79C2314yes—
452C2×C4⋊C4×C79C2311yescharacteristic
453C2×C4⋊C4×C79C2312yes—
454C2×C4⋊C4×C79C2314yes—
455C2×C4⋊C4×C79C2311yescharacteristic
456C2×C4⋊C4×C79C2314yes—
457C2×C4⋊C4×C79C2314yes—
458#11929624—216no—
459#11929624—28no—
460#11929624—48no—
461#11929623—232no—
462#11929623—216no—
463#11929623—216no—
464#11929623—48no—
465C2×Dic158—28no—
466C2×Dic158—216no—
467C2×Dic158—216no—
468C2×Dic158—216no—
469C2×Dic158—24no—
470C2×Dic158#4118yescomplemented
471C2×Dic158C2418yes—
472C2×Dic158C2418yes—
473C2×Dic158C2414yes—
474C2×Dic158C2412yes—
475C2×Dic158C2414yes—
476C2×Dic158C2414yes—
477C2×Dic158C2414yes—
478C2×Dic158C2414yes—
479Q8×D79—216no—
480C2×D316C2412yes—
481C2×D316C2414yes—
482C2×C22⋊D79C2414yes—
483C2×C22⋊D79C2418yes—
484C2×C22⋊D79C2414yes—
485C2×C22⋊D79C2414yes—
486C2×C22⋊D79C2414yes—
487C2×C22⋊D79C2414yes—
488C22×Dic79—28no—
489C22×Dic79—24no—
490C22×Dic79—42no—
491C22×Dic79C2414yes—
492C22×Dic79C2414yes—
493C22×Dic79C2412yes—
494C22×Dic79C2418yes—
495C22×Dic79C2412yes—
496C22×Dic79C2414yes—
497C22×Dic79C2411yescharacteristic
498C22×Dic79C2411yescharacteristic
499C22×Dic79C2411yescharacteristic
500C22×Dic79C2411yescharacteristic
501C22×Dic79C2411yescharacteristic
502C22×Dic79C2414yes—
503C22×Dic79C2411yescharacteristic
504C22×Dic79C2412yes—
505C22×Dic79C2411yescharacteristic
506C22×Dic79C2412yes—
507C22×Dic79C2411yescharacteristic
508C2×C4×D79C2418yes—
509C2×C4×D79C2414yes—
510C2×C4×D79C2414yes—
511C2×C4×D79C2414yes—
512C2×C4×D79C2418yes—
513C4⋊Dic79C2412yes—
514C4⋊Dic79C2414yes—
515C4⋊Dic79C2412yes—
516C4⋊Dic79C2414yes—
517C4⋊Dic79C2414yes—
518C4⋊Dic79C2418yes—
519C4⋊Dic79C2414yes—
520C4⋊Dic79C2414yes—
521C4⋊Dic79C2414yes—
522C4⋊Dic79C2418yes—
523Dic79⋊C4C2418yes—
524Dic79⋊C4C2418yes—
525Dic79⋊C4C2418yes—
526Dic79⋊C4C2418yes—
527Dic79⋊C4C2418yes—
528Dic79⋊C4C2418yes—
529Dic79⋊C4C2414yes—
530Dic79⋊C4C2418yes—
531Dic79⋊C4C2414yes—
532Dic79⋊C4C2414yes—
533Dic79⋊C4C2414yes—
534Dic79⋊C4C2414yes—
535Dic79⋊C4C2414yes—
536Dic79⋊C4C2418yes—
537Dic79⋊C4C2414yes—
538Dic79⋊C4C2414yes—
539Dic79⋊C4C2414yes—
540Dic79⋊C4C2414yes—
541Dic79⋊C4C2418yes—
542Dic79⋊C4C2418yes—
543C22⋊Dic79C2414yes—
544C22⋊Dic79C2414yes—
545C22⋊Dic79C2414yes—
546C22⋊Dic79C2414yes—
547C22⋊Dic79C2414yes—
548C22⋊Dic79C2414yes—
549C22⋊Dic79C2414yes—
550C22⋊Dic79C2418yes—
551C22⋊Dic79C2418yes—
552(C2×D79)⋊C4C2414yes—
553(C2×D79)⋊C4C2414yes—
554(C2×D79)⋊C4C2414yes—
555(C2×D79)⋊C4C2418yes—
556(C2×D79)⋊C4C2418yes—
557(C2×D79)⋊C4C2414yes—
558(C2×D79)⋊C4C2418yes—
559(C2×D79)⋊C4C2418yes—
560(C2×D79)⋊C4C2414yes—
561(C2×D79)⋊C4C2414yes—
562C4×Dic79C2414yes—
563C4×Dic79C2412yes—
564C4×Dic79C2414yes—
565C4×Dic79C2414yes—
566C4×Dic79C2414yes—
567C4×Dic79C2418yes—
568C4×Dic79C2412yes—
569C4×Dic79C2414yes—
570C4×Dic79C2414yes—
571C4×Dic79C2412yes—
572C4×Dic79C2412yes—
573C4×Dic79C2414yes—
574C4×Dic79C2412yes—
575C4×Dic79C2414yes—
576C4×Dic79C2414yes—
577C4×Dic79C2412yes—
578C4×Dic79C2412yes—
579C4×Dic79C2414yes—
580C4×Dic79C2412yes—
581C4×Dic79C2414yes—
582C4×Dic79C2414yes—
583C4×Dic79C2418yes—
584C4×Dic79C2418yes—
585C4×Dic79C2414yes—
586C24×C79C2411yescharacteristic
587#41×C79—28no—
588#41×C79—48no—
589C2×Q8×C79C2412yes—
590C2×Q8×C79C2414yes—
591C2×D4×C79C2414yes—
592C2×D4×C79C2412yes—
593C2×D4×C79C2414yes—
594C2×D4×C79C2414yes—
595C2×D4×C79C2414yes—
596C22×C4×C79—24no—
597C22×C4×C79—44no—
598C22×C4×C79C2412yes—
599C22×C4×C79C2412yes—
600C22×C4×C79C2411yescharacteristic
601C22×C4×C79C2414yes—
602C22×C4×C79C2414yes—
603C22×C4×C79C2412yes—
604C22×C4×C79C2414yes—
605C22×C4×C79C2412yes—
606C22×C4×C79C2418yes—
607C22×C4×C79C2411yescharacteristic
608C4⋊C4×C79C2414yes—
609C4⋊C4×C79C2414yes—
610C4⋊C4×C79C2418yes—
611C4⋊C4×C79C2412yes—
612C4⋊C4×C79C2418yes—
613C4⋊C4×C79C2412yes—
614C4⋊C4×C79C2414yes—
615C4⋊C4×C79C2414yes—
616C4⋊C4×C79C2414yes—
617C4⋊C4×C79C2418yes—
618C4⋊C4×C79C2414yes—
619C22⋊C4×C79C2414yes—
620C22⋊C4×C79C2414yes—
621C22⋊C4×C79C2418yes—
622C22⋊C4×C79C2414yes—
623C22⋊C4×C79C2418yes—
624C22⋊C4×C79C2414yes—
625C22⋊C4×C79C2414yes—
626C42×C79C2418yes—
627C42×C79C2414yes—
628C23×C79—22no—
629C23×C79—22no—
630C23×C79—22no—
631C23×C79C2514yes—
632C23×C79C2511yescharacteristic
633C23×C79C2511yescharacteristic
634C23×C79C2511yescharacteristic
635C22×D79C2514yes—
636Q8×C79—24no—
637Q8×C79—44no—
638D4×C79—28no—
639D4×C79—28no—
640D4×C79—28no—
641D4×C79—24no—
642D4×C79—44no—
643C2×C4×C79—22no—
644C2×C4×C79—28no—
645C2×C4×C79—24no—
646C2×C4×C79—24no—
647C2×C4×C79—28no—
648C2×C4×C79—42no—
649C2×C4×C79—44no—
650C2×C4×C79—42no—
651C2×C4×C79—48no—
652C2×C4×C79C2×#4114yes—
653C2×C4×C79C2514yes—
654C2×C4×C79C2512yes—
655C2×C4×C79C2514yes—
656C2×C4×C79C2514yes—
657C2×C4×C79C2514yes—
658C2×C4×C79C2514yes—
659C2×C4×C79C2512yes—
660C22⋊D79—28no—
661C22⋊D79—28no—
662C22⋊D79—28no—
663C22⋊D79—216no—
664C22⋊D79—28no—
665C22⋊D79—44no—
666C2×Dic79—24no—
667C2×Dic79—22no—
668C2×Dic79—24no—
669C2×Dic79—28no—
670C2×Dic79—28no—
671C2×Dic79—216no—
672C2×Dic79—22no—
673C2×Dic79—22no—
674C2×Dic79—22no—
675C2×Dic79—22no—
676C2×Dic79—28no—
677C2×Dic79—41no—
678C2×Dic79—42no—
679C2×Dic79—41no—
680C2×Dic79—44no—
681C2×Dic79C2×#4118yes—
682C2×Dic792−1+414yescomplemented
683C2×Dic79C2511yescharacteristic
684C2×Dic79C2511yescharacteristic
685C2×Dic79C2512yes—
686C2×Dic79C2514yes—
687C2×Dic79C2514yes—
688C2×Dic79C2514yes—
689C2×Dic79C2512yes—
690C2×Dic79C2514yes—
691C2×Dic79C2514yes—
692C2×Dic79C2511yescharacteristic
693C2×Dic79C2511yescharacteristic
694D316—24no—
695D316—44no—
696C4×D79—28no—
697C4×D79—216no—
698C4×D79—28no—
699C4×D79—44no—
700C4×D79—48no—
701Dic158—28no—
702Dic158—24no—
703Dic158—216no—
704Dic158—216no—
705Dic158—28no—
706Dic158—44no—
707Dic158—44no—
708Dic158C2×#41116yes—
709C22×C79—28no—
710C22×C79—21no—
711C22×C79—21no—
712C22×C79—21no—
713C22×C79—21no—
714C22×C79—21no—
715C22×C79—21no—
716C22×C79—24no—
717C22×C79—24no—
718C22×C79—24no—
719C22×C79C22×#4112yes—
720C22×C79C2×2−1+412yes—
721C22×C79#58512yes—
722C22×C79C2611yescharacteristic
723C2×D79—24no—
724C2×D79—24no—
725C2×D79—24no—
726C4×C79—22no—
727C4×C79—24no—
728C4×C79—24no—
729C4×C79—24no—
730C4×C79—24no—
731C4×C79—24no—
732C4×C79C22×#4114yes—
733Dic79—24no—
734Dic79—24no—
735Dic79—24no—
736Dic79—21no—
737Dic79—21no—
738Dic79—24no—
739Dic79—22no—
740Dic79—22no—
741Dic79C22×#4118yes—
742Dic79C2×2−1+412yes—
743Dic79C2×2−1+412yes—
744#62788—791nomaximal, Sylow
745C2×C79—22no—
746C2×C79—22no—
747C2×C79—22no—
748C2×C79—44no—
749C2×C79C23×#4111yescharacteristic
750C2×C79C22×2−1+411yescharacteristic
751C2×C79C2×#58511yescharacteristic
752D79—44no—
753#3523—794no—
754#3522—794no—
755#3516—794no—
756#3516—794no—
757#3507—794no—
758#3507—792no—
759#3502—791no—
760#3497—791no—
761#3492—794no—
762#3492—791no—
763#3492D7911yescharacteristic, complemented
764#3486—792no—
765#3482—794no—
766#3482—794no—
767#3480—794no—
768Q8×#41—794no—
769#3461—791no—
770#3461—794no—
771#3461—791no—
772#3444—792no—
773#3444—794no—
774C4×2−1+4—792no—
775C22×C4×Q8—791no—
776C79#6278811yescharacteristic, complemented, Sylow
777C2×2−1+4—792no—
778C23×Q8—791no—
779#559—798no—
780#559—794no—
781Q82—794no—
782#557—794no—
783#557—798no—
784#557—794no—
785#557—794no—
786#557—794no—
787#556—798no—
788#556—798no—
789#556—798no—
790#556—794no—
791#556—794no—
792#556—794no—
793#554—798no—
794#554—798no—
795#554—798no—
796#554—794no—
797#554—794no—
798#554C2×D7914yes—
799#553—798no—
800#553—798no—
801#553—794no—
802#553C2×D7914yes—
803#552—798no—
804#552—798no—
805#552—798no—
806#552—798no—
807#552—794no—
808#552—794no—
809#552—794no—
810#552C2×D7914yes—
811#550—794no—
812D4×Q8—794no—
813D4×Q8—794no—
814D4×Q8—794no—
815D4×Q8—794no—
816D4×Q8—794no—
817#548—794no—
818#548—794no—
819#548—794no—
820#548—794no—
821#548—794no—
822#548—794no—
823#547—798no—
824#547—798no—
825#547—794no—
826#547C2×D7914yes—
827#544—794no—
828#544—791no—
829#544C2×D7911yescharacteristic
830#542—794no—
831#542—798no—
832#542—798no—
833#542—794no—
834#541—798no—
835#541—798no—
836#541—794no—
837#541—794no—
838#539—794no—
839#539—794no—
840#539—798no—
841#539—794no—
842#539C2×D7914yes—
843#537—794no—
844#537—791no—
845#537C2×D7911yescharacteristic
846#536—792no—
847#536—798no—
848#536—792no—
849#533—794no—
850#533—798no—
851#533—792no—
852#533—794no—
853#533—794no—
854#533—792no—
855#533—794no—
856#533—798no—
857#533—792no—
858#533—794no—
859#532—792no—
860#532—794no—
861#532—792no—
862#532—794no—
863#532—794no—
864#532—792no—
865#529—798no—
866#529—794no—
867#529—794no—
868#529—798no—
869#529—794no—
870#529—798no—
871#529—798no—
872#529—794no—
873#529—792no—
874#529—794no—
875#529—792no—
876#529—794no—
877#529—792no—
878#529—794no—
879#529—792no—
880#529—794no—
881#529—798no—
882#529—794no—
883#529—798no—
884#529—794no—
885#525—792no—
886#525—794no—
887#525—794no—
888#525—798no—
889#525—794no—
890#525C2×D7912yes—
891#525C2×D7914yes—
892#520—798no—
893#520—794no—
894#520—792no—
895#520—794no—
896#520C2×D7912yes—
897#519—794no—
898#519—792no—
899#519—794no—
900C4×#41—792no—
901C4×#41—794no—
902C4×#41—798no—
903C4×#41—794no—
904C4×#41—798no—
905C4×#41—794no—
906C4×#41—794no—
907C4×#41—792no—
908C4×#41—794no—
909C4×#41—794no—
910C2×C4×Q8—794no—
911C2×C4×Q8—791no—
912C2×C4×Q8—792no—
913C2×C4×Q8—791no—
914C2×C4×Q8—794no—
915C2×C4×Q8—794no—
916C2×C4×Q8—791no—
917C2×C4×Q8—792no—
918C2×C4×Q8—791no—
919C2×C4×Q8—794no—
920C2×C4×Q8—794no—
921C2×C4×Q8—794no—
922C22×C4⋊C4—792no—
923C22×C4⋊C4C2×D7911yescharacteristic
924C22×C42—791no—
925C22×C42—792no—
9262−1+4—15816no—
927C2×#41—794no—
928C2×#41—794no—
929C2×#41—798no—
930C2×#41—794no—
931C2×#41—794no—
932C2×#41—792no—
933C2×#41—794no—
934C2×#41C22×D7912yes—
935C2×#41C22×D7914yes—
936C22×Q8—794no—
937C22×Q8—791no—
938C22×Q8—792no—
939C22×Q8—791no—
940C22×Q8—794no—
941C22×Q8—794no—
942C22×Q8—794no—
943C22×Q8—1588no—
944C23×C4—791no—
945C23×C4—792no—
946C23×C4—791no—
947C23×C4C22×D7911yescharacteristic
948C23×C4C22×D7912yes—
949C4⋊Q8—792no—
950C4⋊Q8—794no—
951C4⋊Q8—794no—
952C4⋊Q8—798no—
953C4⋊Q8—794no—
954C4⋊Q8—792no—
955C4⋊Q8—794no—
956C4⋊Q8—792no—
957C4⋊Q8—798no—
958C4⋊Q8—798no—
959C4⋊Q8—798no—
960C4⋊Q8—794no—
961C4⋊Q8—794no—
962C4⋊Q8C22×D7914yes—
963#127—792no—
964#127—794no—
965#126—798no—
966#126—794no—
967#126—794no—
968#126—798no—
969#126—798no—
970#126—798no—
971#126—794no—
972#126—798no—
973#126—794no—
974#126—798no—
975#126—798no—
976#126—798no—
977#126—798no—
978#126C22×D7918yes—
979#125—794no—
980#125—794no—
981#125—794no—
982#125—798no—
983#125—792no—
984#125—792no—
985#125—794no—
986#125—798no—
987#125—798no—
988#125—798no—
989#125—794no—
990#125—798no—
991#125—798no—
992#125—798no—
993#125—798no—
994#125—798no—
995#125C22×D7914yes—
996#125C22×D7918yes—
997#124—794no—
998#124—792no—
999#124—794no—
1000#124—792no—
1001#124—794no—
1002#124—794no—
1003#124—798no—
1004#124—794no—
1005#124—798no—
1006#124—798no—
1007#124—798no—
1008#124—794no—
1009#123—794no—
1010#123—798no—
1011#123—794no—
1012#123—798no—
1013#123—794no—
1014#123—798no—
1015#123—798no—
1016#123—798no—
1017#123—798no—
1018#123—794no—
1019#123—798no—
1020#123—794no—
1021#123—798no—
1022#123C22×D7914yes—
1023#123C22×D7918yes—
1024#123C22×D7918yes—
1025C22⋊Q8—798no—
1026C22⋊Q8—794no—
1027C22⋊Q8—792no—
1028C22⋊Q8—792no—
1029C22⋊Q8—794no—
1030C22⋊Q8—794no—
1031C22⋊Q8—794no—
1032C22⋊Q8—798no—
1033C22⋊Q8—798no—
1034C22⋊Q8—794no—
1035C22⋊Q8—798no—
1036C22⋊Q8—794no—
1037C22⋊Q8—798no—
1038C22⋊Q8—794no—
1039C22⋊Q8—798no—
1040C22⋊Q8—798no—
1041C22⋊Q8—794no—
1042C22⋊Q8—794no—
1043C22⋊Q8—794no—
1044C22⋊Q8—798no—
1045C22⋊Q8—798no—
1046C22⋊Q8—794no—
1047C22⋊Q8—798no—
1048C22⋊Q8—798no—
1049C22⋊Q8—798no—
1050C22⋊Q8—798no—
1051C22⋊Q8C22×D7914yes—
1052C22⋊Q8C22×D7912yes—
1053C22⋊Q8C22×D7912yes—
1054C22⋊Q8C22×D7914yes—
1055C22⋊Q8C22×D7914yes—
1056C22⋊Q8C22×D7918yes—
1057#121—794no—
1058#121—794no—
1059#121—794no—
1060#121—798no—
1061#121—798no—
1062#121—794no—
1063#121—798no—
1064#121—794no—
1065#121—792no—
1066#121—792no—
1067#121—794no—
1068#121—794no—
1069#121—798no—
1070#121C22×D7914yes—
1071#121C22×D7912yes—
1072#121C22×D7912yes—
1073#121C22×D7914yes—
1074#121C22×D7914yes—
1075#120—794no—
1076#120C22×D7914yes—
1077C4×Q8—792no—
1078C4×Q8—792no—
1079C4×Q8—794no—
1080C4×Q8—794no—
1081C4×Q8—794no—
1082C4×Q8—794no—
1083C4×Q8—798no—
1084C4×Q8—794no—
1085C4×Q8—798no—
1086C4×Q8—794no—
1087C4×Q8—794no—
1088C4×Q8—794no—
1089C4×Q8—798no—
1090C4×Q8—794no—
1091C4×Q8—798no—
1092C4×Q8—794no—
1093C4×Q8—798no—
1094C4×Q8—792no—
1095C4×Q8—794no—
1096C4×Q8—798no—
1097C4×Q8—794no—
1098C4×Q8—792no—
1099C4×Q8—794no—
1100C4×Q8—794no—
1101C4×Q8—794no—
1102C4×Q8—794no—
1103C4×Q8—794no—
1104C4×Q8—798no—
1105C4×Q8—794no—
1106C4×Q8—798no—
1107C4×Q8—798no—
1108C4×Q8—794no—
1109C4×Q8—798no—
1110C4×Q8—794no—
1111C4×Q8—794no—
1112C4×Q8C22×D7914yes—
1113C4×D4—794no—
1114C4×D4—794no—
1115C4×D4—792no—
1116C4×D4—794no—
1117C4×D4—792no—
1118C4×D4—798no—
1119C4×D4—798no—
1120C4×D4—794no—
1121C4×D4—794no—
1122C4×D4—794no—
1123C4×D4—798no—
1124C4×D4—798no—
1125C4×D4—798no—
1126C4×D4—794no—
1127C4×D4—794no—
1128C4×D4—798no—
1129C4×D4—794no—
1130C4×D4—794no—
1131C4×D4—798no—
1132C4×D4—792no—
1133C4×D4—792no—
1134C4×D4—794no—
1135C4×D4—794no—
1136C4×D4—794no—
1137C4×D4—794no—
1138C4×D4—794no—
1139C4×D4—798no—
1140C4×D4—794no—
1141C4×D4—798no—
1142C4×D4—798no—
1143C4×D4—798no—
1144C4×D4—794no—
1145C4×D4—794no—
1146C4×D4—798no—
1147C4×D4—794no—
1148C4×D4C22×D7918yes—
1149C4×D4C22×D7914yes—
1150C4×D4C22×D7914yes—
1151C4×D4C22×D7914yes—
1152C4×D4C22×D7918yes—
1153#117—792no—
1154#117—794no—
1155#117—794no—
1156#117—798no—
1157#117—798no—
1158#117—794no—
1159#117—798no—
1160#117—794no—
1161#117—794no—
1162#117—794no—
1163#117—798no—
1164#117—798no—
1165#117—798no—
1166#117—794no—
1167#117—794no—
1168#117—798no—
1169#117—794no—
1170#117—794no—
1171#117—798no—
1172#117—798no—
1173#117C22×D7912yes—
1174#117C22×D7914yes—
1175#117C22×D7914yes—
1176C2×C4⋊C4—792no—
1177C2×C4⋊C4—792no—
1178C2×C4⋊C4—792no—
1179C2×C4⋊C4—792no—
1180C2×C4⋊C4—798no—
1181C2×C4⋊C4—798no—
1182C2×C4⋊C4—798no—
1183C2×C4⋊C4—798no—
1184C2×C4⋊C4—794no—
1185C2×C4⋊C4C22×D7911yescharacteristic
1186C2×C4⋊C4C22×D7911yescharacteristic
1187C2×C4⋊C4C22×D7912yes—
1188C2×C4⋊C4C22×D7914yes—
1189C2×C4⋊C4C22×D7914yes—
1190C2×C4⋊C4C22×D7914yes—
1191C2×C42—791no—
1192C2×C42—792no—
1193C2×C42—792no—
1194C2×C42—794no—
1195C2×C42—792no—
1196C2×C42—794no—
1197C2×C42—791no—
1198C2×C42—792no—
1199C2×C42—792no—
1200C2×C42—794no—
1201C2×C42—791no—
1202C2×C42—792no—
1203C2×C42—792no—
1204C2×C42—794no—
1205C2×C42—791no—
1206C2×C42—792no—
1207C2×C42—794no—
1208C2×C42—798no—
1209C2×C42—794no—
1210C2×C42—798no—
1211C24C23×D7911yescharacteristic
1212#41—28no—
1213#41—48no—
1214#41—3168no—
1215#41—3168no—
1216#41—15816no—
1217#41—15816no—
1218#41—15832no—
1219#41—15816no—
1220#41—1588no—
1221C2×Q8—798no—
1222C2×Q8—794no—
1223C2×Q8—794no—
1224C2×Q8—794no—
1225C2×Q8—794no—
1226C2×Q8—798no—
1227C2×Q8—794no—
1228C2×Q8—798no—
1229C2×Q8—792no—
1230C2×Q8—1588no—
1231C2×Q8—15816no—
1232C2×Q8—15816no—
1233C2×Q8—15816no—
1234C2×Q8—15816no—
1235C2×Q8—1584no—
1236C2×Q8C23×D7912yes—
1237C2×Q8C23×D7914yes—
1238C2×D4—794no—
1239C2×D4—794no—
1240C2×D4—794no—
1241C2×D4—794no—
1242C2×D4—794no—
1243C2×D4—798no—
1244C2×D4—794no—
1245C2×D4—792no—
1246C2×D4C23×D7914yes—
1247C2×D4C23×D7914yes—
1248C2×D4C23×D7914yes—
1249C2×D4C23×D7912yes—
1250C2×D4C23×D7914yes—
1251C22×C4—24no—
1252C22×C4—44no—
1253C22×C4—3162no—
1254C22×C4—791no—
1255C22×C4—792no—
1256C22×C4—791no—
1257C22×C4—794no—
1258C22×C4—794no—
1259C22×C4—798no—
1260C22×C4—791no—
1261C22×C4—792no—
1262C22×C4—791no—
1263C22×C4—791no—
1264C22×C4—791no—
1265C22×C4—791no—
1266C22×C4—791no—
1267C22×C4—794no—
1268C22×C4—792no—
1269C22×C4—794no—
1270C22×C4—794no—
1271C22×C4—792no—
1272C22×C4—798no—
1273C22×C4—794no—
1274C22×C4—798no—
1275C22×C4—794no—
1276C22×C4—1584no—
1277C22×C4—1588no—
1278C22×C4C23×D7914yes—
1279C22×C4C23×D7912yes—
1280C22×C4C23×D7912yes—
1281C22×C4C23×D7911yescharacteristic
1282C22×C4C23×D7914yes—
1283C22×C4C23×D7912yes—
1284C22×C4C23×D7914yes—
1285C22×C4C23×D7912yes—
1286C22×C4C23×D7918yes—
1287C22×C4C23×D7911yescharacteristic
1288C4⋊C4—798no—
1289C4⋊C4—798no—
1290C4⋊C4—798no—
1291C4⋊C4—798no—
1292C4⋊C4—798no—
1293C4⋊C4—794no—
1294C4⋊C4—798no—
1295C4⋊C4—798no—
1296C4⋊C4—794no—
1297C4⋊C4—794no—
1298C4⋊C4—794no—
1299C4⋊C4—794no—
1300C4⋊C4—794no—
1301C4⋊C4—794no—
1302C4⋊C4—798no—
1303C4⋊C4—794no—
1304C4⋊C4—798no—
1305C4⋊C4—794no—
1306C4⋊C4—798no—
1307C4⋊C4—794no—
1308C4⋊C4—792no—
1309C4⋊C4—794no—
1310C4⋊C4—792no—
1311C4⋊C4—794no—
1312C4⋊C4—794no—
1313C4⋊C4—794no—
1314C4⋊C4—794no—
1315C4⋊C4—798no—
1316C4⋊C4—798no—
1317C4⋊C4—794no—
1318C4⋊C4C23×D7914yes—
1319C4⋊C4C23×D7918yes—
1320C4⋊C4C23×D7914yes—
1321C4⋊C4C23×D7918yes—
1322C4⋊C4C23×D7912yes—
1323C4⋊C4C23×D7914yes—
1324C4⋊C4C23×D7914yes—
1325C4⋊C4C23×D7918yes—
1326C4⋊C4C23×D7912yes—
1327C4⋊C4C23×D7914yes—
1328C4⋊C4C23×D7914yes—
1329C22⋊C4—794no—
1330C22⋊C4—794no—
1331C22⋊C4—794no—
1332C22⋊C4—794no—
1333C22⋊C4—794no—
1334C22⋊C4—794no—
1335C22⋊C4—794no—
1336C22⋊C4—798no—
1337C22⋊C4—798no—
1338C22⋊C4—794no—
1339C22⋊C4—798no—
1340C22⋊C4—794no—
1341C22⋊C4—794no—
1342C22⋊C4—798no—
1343C22⋊C4—794no—
1344C22⋊C4—798no—
1345C22⋊C4—794no—
1346C22⋊C4—794no—
1347C22⋊C4—798no—
1348C22⋊C4C23×D7914yes—
1349C22⋊C4C23×D7918yes—
1350C22⋊C4C23×D7914yes—
1351C22⋊C4C23×D7914yes—
1352C22⋊C4C23×D7918yes—
1353C22⋊C4C23×D7914yes—
1354C22⋊C4C23×D7914yes—
1355C42—794no—
1356C42—792no—
1357C42—794no—
1358C42—794no—
1359C42—794no—
1360C42—792no—
1361C42—794no—
1362C42—792no—
1363C42—792no—
1364C42—794no—
1365C42—792no—
1366C42—794no—
1367C42—794no—
1368C42—792no—
1369C42—794no—
1370C42—792no—
1371C42—794no—
1372C42—792no—
1373C42—794no—
1374C42—794no—
1375C42—798no—
1376C42—798no—
1377C42—798no—
1378C42—794no—
1379C42C23×D7918yes—
1380C42C23×D7914yes—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—794no—
1385C23C24×D7914yes—
1386C23C24×D7911yescharacteristic
1387C23C24×D7911yescharacteristic
1388C23C24×D7911yescharacteristic
1389Q8—24no—
1390Q8—44no—
1391Q8—3164no—
1392Q8—3164no—
1393Q8—7916no—
1394Q8—15816no—
1395Q8—15816no—
1396Q8—1588no—
1397Q8—1588no—
1398Q8—1584no—
1399D4—28no—
1400D4—28no—
1401D4—28no—
1402D4—24no—
1403D4—44no—
1404D4—3164no—
1405D4—3164no—
1406D4—1588no—
1407D4—15816no—
1408D4—1588no—
1409D4—1588no—
1410D4—1588no—
1411D4—1584no—
1412C2×C4—28no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—24no—
1416C2×C4—28no—
1417C2×C4—42no—
1418C2×C4—44no—
1419C2×C4—42no—
1420C2×C4—48no—
1421C2×C4—3168no—
1422C2×C4—3164no—
1423C2×C4—3161no—
1424C2×C4—3162no—
1425C2×C4—3161no—
1426C2×C4—3164no—
1427C2×C4—794no—
1428C2×C4—791no—
1429C2×C4—791no—
1430C2×C4—794no—
1431C2×C4—798no—
1432C2×C4—791no—
1433C2×C4—791no—
1434C2×C4—792no—
1435C2×C4—794no—
1436C2×C4—794no—
1437C2×C4—794no—
1438C2×C4—794no—
1439C2×C4—792no—
1440C2×C4—15816no—
1441C2×C4—1588no—
1442C2×C4—1588no—
1443C2×C4—1588no—
1444C2×C4—1582no—
1445C2×C4—1582no—
1446C2×C4—1582no—
1447C2×C4—1582no—
1448C2×C4—15816no—
1449C2×C4—1588no—
1450C2×C4—1582no—
1451C2×C4—1584no—
1452C2×C4—1584no—
1453C2×C4—1588no—
1454C2×C4#41×D7914yes—
1455C2×C4C24×D7914yes—
1456C2×C4C24×D7912yes—
1457C2×C4C24×D7914yes—
1458C2×C4C24×D7914yes—
1459C2×C4C24×D7914yes—
1460C2×C4C24×D7914yes—
1461C2×C4C24×D7912yes—
1462C22—28no—
1463C22—21no—
1464C22—21no—
1465C22—21no—
1466C22—21no—
1467C22—21no—
1468C22—21no—
1469C22—24no—
1470C22—24no—
1471C22—24no—
1472C22—1584no—
1473C22—1584no—
1474C22—1584no—
1475C22C2×#41×D7912yes—
1476C222−1+4×D7912yes—
1477C22#1909939812yes—
1478C22C25×D7911yescharacteristic
1479C4—22no—
1480C4—24no—
1481C4—24no—
1482C4—24no—
1483C4—24no—
1484C4—24no—
1485C4—798no—
1486C4—792no—
1487C4—792no—
1488C4—1584no—
1489C4—1584no—
1490C4—1581no—
1491C4—1581no—
1492C4—1584no—
1493C4—1582no—
1494C4—1584no—
1495C4—1582no—
1496C4C2×#41×D7914yes—
1497C2—22no—
1498C2—22no—
1499C2—22no—
1500C2—44no—
1501C2—3164no—
1502C2C22×#41×D7911yescharacteristic
1503C2C2×2−1+4×D7911yescharacteristic
1504C2C2×#1909939811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3492C2
hypercenter#3492D79
hypocenterC79#62788
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3492

Complements

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

NH ≅ G/Ntype
1. #23777489C2semidirect
2. #23777478C2semidirect
3. #23777390C2semidirect
4. #23777384C2semidirect
5. #23777260C2semidirect
6. #23777258C2semidirect
7. #23777208C2semidirect
8. #23777169C2semidirect
9. #23777109C2semidirect
10. #23777101C2semidirect
11. #23777047C2semidirect
12. #23777014C2semidirect
13. #23777012C2semidirect
14. #23776994C2semidirect
15. #23776979C2semidirect
16. #23776834C2semidirect
17. #23776830C2semidirect
18. #23776828C2semidirect
19. #23776692C2semidirect
20. #23776692C2semidirect
21. #23776611C2semidirect
22. C22×#14579126C2semidirect
23. C79×#3492C2semidirect
26. #19099297C22semidirect
27. #19099296C22semidirect
28. #19099293C22semidirect
29. #19099291C22semidirect
30. #19099290C22semidirect
31. #19099290C22semidirect
32. #19099290C22semidirect
33. #19099288C22semidirect
34. #19099285C22semidirect
35. #19099284C22semidirect
36. #19099283C22semidirect
37. #19099281C22semidirect
38. #19099280C22semidirect
39. #19099280C22semidirect
42. #19099268C22semidirect
44. #19099267C22semidirect
48. #19099252C22semidirect
50. #19099250C22semidirect
52. #19099248C22semidirect
54. #19099245C22semidirect
55. #19099231C22semidirect
60. #19099226C22semidirect
61. #19099223C22semidirect
66. #19099219C22semidirect
72. #19099187C22semidirect
73. #19099183C22semidirect
74. #19099181C22semidirect
75. #19099180C22semidirect
76. #19099176C22semidirect
77. #19099173C22semidirect
78. #19099172C22semidirect
79. #19099170C22semidirect
89. #19099119C22semidirect
90. #19099118C22semidirect
97. #19099115C22semidirect
98. #19099115C22semidirect
109. #19099098C22semidirect
110. #19099096C22semidirect
115. #19099094C22semidirect
124. #19099090C22semidirect
131. #19099044C22semidirect
133. #19099042C22semidirect
135. #19099040C22semidirect
136. #19099039C22semidirect
141. #19099031C22semidirect
146. C4×#11929623C22semidirect
157. C2×#14579126C22semidirect
158. C4×Q8×D79C22semidirect
470. C2×Dic158#41semidirect
682. C2×Dic792−1+4semidirect
763. #3492D79semidirect
776. C79#62788semidirect

Maximal subgroups

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

subgroupindex
#237774892
#237774782
#237773902
#237773842
#237772602
#237772582
#237772082
#237771692
#237771092
#237771012
#237770472
#237770142
#237770122
#237769942
#237769792
#237768342
#237768302
#237768282
#237766922
#237766112
C22×#145791262
C79×#34922
#6278879