Finite Group Databasebeta

← #35196968

Subgroups — #35196968

Order 20224.

6538 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778020C214yesmaximal, complemented
2#23778012C214yesmaximal, complemented
3#23777997C214yesmaximal, complemented
4#23777958C214yesmaximal, complemented
5#23777850C214yesmaximal, complemented
6#23777833C214yesmaximal, complemented
7#23777489C214yesmaximal, complemented
8#23777438C214yesmaximal, complemented
9#23777389C214yesmaximal, complemented
10#23777383C214yesmaximal, complemented
11#23777237C212yesmaximal, complemented
12#23777230C212yesmaximal, complemented
13#23777200C212yesmaximal, complemented
14#23777198C212yesmaximal, complemented
15#23777141C214yesmaximal, complemented
16#23777139C214yesmaximal, complemented
17#23777098C211yesmaximal, characteristic, complemented
18#23777096C212yesmaximal, complemented
19C2×#19099116C211yesmaximal, characteristic, complemented
20C2×#19099090C212yesmaximal, complemented
21C79×#3491C211yesmaximal, characteristic, complemented
22C79⋊#564C2214yescomplemented
23#19099317C2214yescomplemented
24#19099316C2214yescomplemented
25#19099315C2214yescomplemented
26#19099315C2214yescomplemented
27#19099314C2214yescomplemented
28#19099314C2214yescomplemented
29#19099310C2214yescomplemented
30#19099291C2214yescomplemented
31#19099290C2214yescomplemented
32#19099290C2214yescomplemented
33#19099286C2214yescomplemented
34#19099282C2214yescomplemented
35#19099281C2214yescomplemented
36#19099281C2214yescomplemented
37#19099280C2214yescomplemented
38#19099280C2214yescomplemented
39#19099280C2214yescomplemented
40#19099272C2214yescomplemented
41#19099272C2214yescomplemented
42#19099272C2214yescomplemented
43#19099272C2214yescomplemented
44#19099271C2214yescomplemented
45#19099271C2214yescomplemented
46#19099270C2214yescomplemented
47#19099270C2214yescomplemented
48#19099267C2214yescomplemented
49#19099267C2214yescomplemented
50#19099267C2214yescomplemented
51#19099267C2214yescomplemented
52#19099265C2214yescomplemented
53#19099262C2214yescomplemented
54#19099262C2214yescomplemented
55#19099259C2214yescomplemented
56#19099256C2214yescomplemented
57#19099256C2214yescomplemented
58#19099255C2214yescomplemented
59#19099253C2214yescomplemented
60#19099251C2214yescomplemented
61#19099251C2214yescomplemented
62#19099250C2214yescomplemented
63#19099250C2214yescomplemented
64#19099250C2214yescomplemented
65#19099250C2214yescomplemented
66#19099249C2214yescomplemented
67#19099249C2214yescomplemented
68#19099249C2214yescomplemented
69#19099248C2214yescomplemented
70#19099248C2214yescomplemented
71#19099246C2214yescomplemented
72#19099246C2214yescomplemented
73#19099246C2214yescomplemented
74#19099246C2214yescomplemented
75#19099246C2214yescomplemented
76#19099244C2214yescomplemented
77#19099239C2214yescomplemented
78#19099239C2214yescomplemented
79#19099239C2214yescomplemented
80#19099237C2214yescomplemented
81#19099237C2214yescomplemented
82#19099237C2214yescomplemented
83#19099236C2214yescomplemented
84#19099236C2214yescomplemented
85#19099236C2214yescomplemented
86D4×Dic158C2214yescomplemented
87D4×Dic158C2214yescomplemented
88#19099226C2214yescomplemented
89#19099226C2214yescomplemented
90#19099226C2214yescomplemented
91#19099222C2214yescomplemented
92#19099222C2214yescomplemented
93#19099221C2214yescomplemented
94#19099219C2214yescomplemented
95#19099211C2214yescomplemented
96#19099203C2214yescomplemented
97#19099200C2214yescomplemented
98#19099193C2214yescomplemented
99#19099192C2214yescomplemented
100#19099192C2214yescomplemented
101#19099191C2214yescomplemented
102#19099189C2212yes—
103#19099189C2211yescharacteristic
104#19099189C2214yescomplemented
105#19099188C2214yescomplemented
106#19099184C2214yescomplemented
107#19099181C2214yescomplemented
108#19099179C2214yescomplemented
109#19099179C2214yescomplemented
110#19099179C2214yescomplemented
111#19099178C2214yescomplemented
112#19099177C2214yescomplemented
113#19099177C2214yescomplemented
114#19099176C2214yescomplemented
115#19099175C2214yescomplemented
116#19099173C2214yescomplemented
117#19099172C2214yescomplemented
118#19099172C2214yescomplemented
119#19099172C2214yescomplemented
120#19099172C2214yescomplemented
121#19099171C2214yescomplemented
122#19099170C2214yescomplemented
123#19099170C2214yescomplemented
124#19099170C2214yescomplemented
125#19099170C2214yescomplemented
126#19099162C2214yescomplemented
127#19099160C2214yescomplemented
128#19099157C2214yes—
129#19099157C2214yescomplemented
130#19099157C2214yescomplemented
131#19099157C2214yescomplemented
132#19099156C2214yescomplemented
133#19099155C2214yes—
134#19099154C2214yescomplemented
135#19099148C2214yes—
136#19099146C2214yes—
137#19099136C2214yescomplemented
138#19099135C2214yescomplemented
139#19099125C2211yescharacteristic
140#19099122C2212yes—
141#19099116C2214yescomplemented
142#19099116C2214yescomplemented
143#19099116C2214yescomplemented
144#19099116C2214yescomplemented
145#19099116C2214yescomplemented
146#19099115C2214yescomplemented
147C2×#14579160C2212yescomplemented
148#19099097C2214yescomplemented
149#19099093C2214yes—
150#19099090C2214yes—
151#19099090C2214yes—
152#19099090C2214yes—
153#19099090C2214yes—
154#19099090C2214yes—
155#19099090C2214yescomplemented
156#19099090C2214yescomplemented
157#19099090C2214yescomplemented
158#19099090C2214yescomplemented
159#19099090C2214yescomplemented
160#19099090C2214yescomplemented
161C2×#14579156C2212yescomplemented
162C2×#14579154C2212yescomplemented
163C2×#14579152C2212yescomplemented
164C2×#14579151C2212yescomplemented
165C2×#14579147C2212yescomplemented
166#19099072C2214yes—
167#19099069C2214yes—
168C2×#14579144C2212yes—
169C2×#14579138C2212yes—
170C2×#14579138C2212yes—
171C2×#14579138C2212yes—
172C2×#14579138C2214yescomplemented
173C22⋊Q8×D79C2214yescomplemented
174C2×#14579133C2212yes—
175#19099043C2214yescomplemented
176#19099042C2214yescomplemented
177#19099040C2214yescomplemented
178#19099039C2214yescomplemented
179#19099038C2212yes—
180#19099036C2212yes—
181#19099036C2212yes—
182C2×C4×Dic158C2212yescomplemented
183C2×C4×Dic158C2212yescomplemented
184C2×#14579126C2212yescomplemented
185C2×D4×Dic79C2212yes—
186C2×(C22⋊D79)⋊C4C2212yes—
187C2×(C22⋊D79)⋊C4C2212yescomplemented
188C2×#14579120C2211yescharacteristic
189C2×#14579119C2212yescomplemented
190C2×#14579117C2212yescomplemented
191C22×C4×Dic79C2211yescharacteristic
192#552×C79C2214yescomplemented
193#552×C79C2214yescomplemented
194#551×C79C2214yescomplemented
195#551×C79C2214yescomplemented
196#543×C79C2211yescharacteristic
197#539×C79C2214yescomplemented
198#534×C79C2211yescharacteristic
199#529×C79C2214yescomplemented
200C2×#123×C79C2212yes—
201#518×C79C2212yes—
202C2×#117×C79C2211yescharacteristic
203C2×#11929624C2314yes—
204C2×#11929623C2314yes—
205C22×Dic158C2312yes—
206C22×Dic158C2312yes—
207C22×Dic158C2314yes—
208C22×Dic158C2312yes—
209C2×Q8×D79C2314yes—
210C22×C22⋊D79C2312yes—
211C22×C22⋊D79C2312yes—
212C23×Dic79C2312yes—
213C23×Dic79C2312yes—
214C22×C4×D79C2312yes—
215#14579161C2314yes—
216#14579161C2314yes—
217#14579160C2314yes—
218#14579160C2314yes—
219#14579160C2314yes—
220#14579160C2314yes—
221#14579160C2314yes—
222#14579160C2314yes—
223#14579160C2314yes—
224#14579160C2314yes—
225#14579160C2314yes—
226#14579160C2314yes—
227#14579160C2314yes—
228#14579159C2314yes—
229#14579159C2314yes—
230#14579159C2314yes—
231#14579156C2314yes—
232#14579156C2314yes—
233#14579156C2314yes—
234#14579156C2314yes—
235#14579156C2314yes—
236#14579156C2314yes—
237#14579156C2314yes—
238#14579156C2314yes—
239#14579156C2314yes—
240#14579156C2314yes—
241#14579156C2314yes—
242#14579156C2314yes—
243#14579156C2314yes—
244#14579156C2314yes—
245#14579155C2314yes—
246#14579155C2314yes—
247#14579155C2314yes—
248#14579155C2314yes—
249#14579154C2314yes—
250#14579154C2314yes—
251#14579154C2314yes—
252#14579154C2314yes—
253#14579154C2314yes—
254#14579154C2314yes—
255#14579154C2314yes—
256#14579154C2314yes—
257#14579154C2314yes—
258#14579154C2314yes—
259#14579154C2314yes—
260#14579154C2314yes—
261#14579154C2314yes—
262#14579154C2314yes—
263#14579153C2314yes—
264#14579153C2314yes—
265#14579153C2314yes—
266#14579153C2314yes—
267#14579152C2314yes—
268#14579152C2314yes—
269#14579152C2314yes—
270#14579152C2314yes—
271#14579152C2314yes—
272#14579152C2314yes—
273#14579152C2314yes—
274#14579152C2314yes—
275#14579152C2314yes—
276#14579152C2314yes—
277#14579152C2314yes—
278#14579151C2314yes—
279#14579151C2314yes—
280#14579151C2314yes—
281#14579151C2314yes—
282#14579151C2314yes—
283#14579151C2314yes—
284#14579151C2314yes—
285#14579151C2314yes—
286#14579151C2314yes—
287#14579151C2314yes—
288#14579151C2314yes—
289#14579151C2314yes—
290#14579151C2314yes—
291#14579151C2314yes—
292#14579151C2314yes—
293#14579151C2314yes—
294#14579151C2314yes—
295#14579151C2314yes—
296#14579151C2314yes—
297#14579151C2314yes—
298#14579149C2314yes—
299#14579149C2314yes—
300#14579148C2314yes—
301#14579147C2314yes—
302#14579147C2314yes—
303#14579147C2314yes—
304#14579147C2314yes—
305#14579147C2314yes—
306#14579147C2314yes—
307#14579147C2314yes—
308#14579147C2314yes—
309#14579147C2314yes—
310#14579147C2314yes—
311#14579146C2314yes—
312#14579146C2314yes—
313#14579146C2314yes—
314#14579146C2314yes—
315#14579145C2314yes—
316#14579145C2314yes—
317#14579145C2314yes—
318#14579145C2314yes—
319#14579145C2314yes—
320#14579144C2314yes—
321#14579144C2314yes—
322#14579144C2314yes—
323#14579144C2314yes—
324#14579144C2314yes—
325#14579144C2314yes—
326#14579144C2314yes—
327#14579143C2314yes—
328#14579143C2314yes—
329#14579143C2314yes—
330#14579143C2314yes—
331#14579143C2314yes—
332#14579143C2314yes—
333#14579142C2314yes—
334#14579142C2314yes—
335#14579142C2314yes—
336#14579141C2314yes—
337#14579141C2314yes—
338#14579141C2314yes—
339#14579141C2314yes—
340#14579141C2314yes—
341#14579141C2314yes—
342#14579140C2314yes—
343#14579140C2314yes—
344#14579140C2314yes—
345#14579140C2314yes—
346#14579140C2314yes—
347#14579140C2314yes—
348#14579140C2314yes—
349#14579140C2314yes—
350#14579139C2314yes—
351#14579139C2314yes—
352#14579139C2314yes—
353#14579139C2314yes—
354#14579139C2314yes—
355#14579139C2314yes—
356#14579139C2314yes—
357#14579139C2314yes—
358#14579139C2314yes—
359#14579139C2314yes—
360#14579138C2314yes—
361#14579138C2314yes—
362#14579138C2314yes—
363#14579138C2314yes—
364#14579138C2314yes—
365#14579138C2314yes—
366#14579138C2314yes—
367#14579138C2314yes—
368#14579138C2314yes—
369#14579138C2314yes—
370#14579138C2314yes—
371#14579138C2314yes—
372#14579138C2314yes—
373#14579138C2314yes—
374#14579138C2314yes—
375#14579138C2314yes—
376#14579138C2314yes—
377#14579138C2314yes—
378#14579138C2314yes—
379#14579138C2314yes—
380#14579138C2314yes—
381#14579138C2314yes—
382#14579138C2314yes—
383#14579138C2314yes—
384#14579138C2314yes—
385#14579138C2314yes—
386#14579138C2314yes—
387#14579138C2314yes—
388#14579138C2314yes—
389#14579138C2314yes—
390#14579137C2314yes—
391#14579137C2314yes—
392#14579137C2314yes—
393#14579135C2314yes—
394#14579135C2314yes—
395#14579134C2314yes—
396#14579134C2314yes—
397#14579133C2314yes—
398#14579133C2314yes—
399#14579133C2314yes—
400#14579133C2314yes—
401#14579133C2314yes—
402#14579133C2314yes—
403#14579133C2314yes—
404#14579133C2314yes—
405#14579132C2314yes—
406#14579131C2314yes—
407#14579130C2314yes—
408#14579129C2314yes—
409Q8×Dic79C2314yes—
410C4×Dic158C2314yes—
411C4×Dic158C2314yes—
412C4×Dic158C2314yes—
413C4×Dic158C2314yes—
414C4×Dic158C2314yes—
415C4×Dic158C2314yes—
416C4×Dic158C2314yes—
417C4×Dic158C2314yes—
418C4×Dic158C2314yes—
419C4×Dic158C2314yes—
420C4×Dic158C2314yes—
421C4×Dic158C2314yes—
422C4×Dic158C2314yes—
423C4×Dic158C2314yes—
424#14579126C2314yes—
425#14579126C2314yes—
426#14579126C2314yes—
427#14579126C2314yes—
428#14579126C2314yes—
429#14579126C2314yes—
430#14579126C2314yes—
431#14579126C2314yes—
432#14579126C2314yes—
433#14579126C2314yes—
434C4×D316C2314yes—
435C4×D316C2314yes—
436D4×Dic79C2314yes—
437D4×Dic79C2314yes—
438D4×Dic79C2314yes—
439D4×Dic79C2314yes—
440D4×Dic79C2314yes—
441D4×Dic79C2314yes—
442D4×Dic79C2314yes—
443D4×Dic79C2314yes—
444D4×Dic79C2314yes—
445C4×C22⋊D79C2314yes—
446C4×C22⋊D79C2314yes—
447C4×C22⋊D79C2314yes—
448C4×C22⋊D79C2314yes—
449C4×C22⋊D79C2314yes—
450C4×C22⋊D79C2314yes—
451(C22⋊D79)⋊C4C2314yes—
452(C22⋊D79)⋊C4C2314yes—
453(C22⋊D79)⋊C4C2314yes—
454(C22⋊D79)⋊C4C2314yes—
455(C22⋊D79)⋊C4C2314yes—
456(C22⋊D79)⋊C4C2314yes—
457(C22⋊D79)⋊C4C2314yes—
458(C22⋊D79)⋊C4C2314yes—
459(C22⋊D79)⋊C4C2314yes—
460(C22⋊D79)⋊C4C2314yes—
461(C22⋊D79)⋊C4C2314yes—
462(C22⋊D79)⋊C4C2314yes—
463(C22⋊D79)⋊C4C2314yes—
464(C22⋊D79)⋊C4C2314yes—
465(C22⋊D79)⋊C4C2314yes—
466(C22⋊D79)⋊C4C2314yes—
467#14579120C2314yes—
468#14579120C2314yes—
469#14579120C2314yes—
470#14579120C2314yes—
471#14579119C2314yes—
472#14579119C2314yes—
473#14579119C2314yes—
474#14579119C2314yes—
475#14579119C2314yes—
476#14579119C2314yes—
477#14579119C2314yes—
478#14579118C2314yes—
479#14579118C2314yes—
480#14579118C2314yes—
481#14579118C2314yes—
482#14579117C2314yes—
483#14579117C2314yes—
484#14579117C2314yes—
485#14579117C2314yes—
486#14579117C2314yes—
487#14579117C2314yes—
488#14579117C2314yes—
489#14579117C2314yes—
490#14579117C2314yes—
491#14579117C2314yes—
492C2×C4⋊Dic79C2312yes—
493C2×C4⋊Dic79C2312yes—
494C2×C4⋊Dic79C2314yes—
495C2×C4⋊Dic79C2312yes—
496C2×C4⋊Dic79C2312yes—
497C2×C4⋊Dic79C2312yes—
498C2×Dic79⋊C4C2312yes—
499C2×Dic79⋊C4C2314yes—
500C2×Dic79⋊C4C2314yes—
501C2×Dic79⋊C4C2312yes—
502C2×Dic79⋊C4C2312yes—
503C2×Dic79⋊C4C2312yes—
504C2×Dic79⋊C4C2312yes—
505C2×Dic79⋊C4C2312yes—
506C2×Dic79⋊C4C2312yes—
507C2×Dic79⋊C4C2312yes—
508C2×Dic79⋊C4C2312yes—
509C2×Dic79⋊C4C2312yes—
510C4⋊C4×D79C2314yes—
511C4⋊C4×D79C2314yes—
512C4⋊C4×D79C2314yes—
513C2×C22⋊Dic79C2312yes—
514C2×C22⋊Dic79C2312yes—
515C2×C22⋊Dic79C2312yes—
516C2×C22⋊Dic79C2314yes—
517C2×C22⋊Dic79C2312yes—
518C2×(C2×D79)⋊C4C2312yes—
519C2×(C2×D79)⋊C4C2312yes—
520C2×(C2×D79)⋊C4C2312yes—
521C2×(C2×D79)⋊C4C2312yes—
522C22⋊C4×D79C2314yes—
523C22⋊C4×D79C2314yes—
524C2×C4×Dic79C2312yes—
525C2×C4×Dic79C2312yes—
526C2×C4×Dic79C2312yes—
527C2×C4×Dic79C2312yes—
528C2×C4×Dic79C2311yescharacteristic
529C2×C4×Dic79C2312yes—
530C2×C4×Dic79C2311yescharacteristic
531C2×C4×Dic79C2312yes—
532C2×C4×Dic79C2312yes—
533C2×C4×Dic79C2311yescharacteristic
534C2×C4×Dic79C2311yescharacteristic
535C22×D4×C79C2312yes—
536C23×C4×C79C2311yescharacteristic
537#126×C79C2314yes—
538#126×C79C2314yes—
539#126×C79C2314yes—
540#126×C79C2314yes—
541#125×C79C2314yes—
542#125×C79C2314yes—
543#125×C79C2314yes—
544#124×C79C2314yes—
545#123×C79C2314yes—
546#123×C79C2314yes—
547#123×C79C2314yes—
548#123×C79C2314yes—
549#123×C79C2314yes—
550#123×C79C2314yes—
551#123×C79C2314yes—
552C22⋊Q8×C79C2314yes—
553C22⋊Q8×C79C2314yes—
554C22⋊Q8×C79C2314yes—
555C22⋊Q8×C79C2314yes—
556C22⋊Q8×C79C2314yes—
557#121×C79C2314yes—
558#120×C79C2314yes—
559C4×Q8×C79C2314yes—
560C4×D4×C79C2314yes—
561C4×D4×C79C2314yes—
562C4×D4×C79C2314yes—
563C4×D4×C79C2314yes—
564C4×D4×C79C2314yes—
565#117×C79C2314yes—
566#117×C79C2314yes—
567#117×C79C2314yes—
568#117×C79C2314yes—
569#117×C79C2314yes—
570C2×C4⋊C4×C79C2312yes—
571C2×C4⋊C4×C79C2312yes—
572C2×C4⋊C4×C79C2312yes—
573C2×C22⋊C4×C79C2311yescharacteristic
574C2×C22⋊C4×C79C2312yes—
575C2×C22⋊C4×C79C2314yes—
576C2×C22⋊C4×C79C2311yescharacteristic
577C2×C22⋊C4×C79C2312yes—
578C2×C22⋊C4×C79C2312yes—
579C2×C42×C79C2312yes—
580C23×D79C2412yes—
581#11929624—48no—
582#11929623—48no—
583C2×Dic158—44no—
584C2×Dic158—48no—
585C2×Dic158—44no—
586C2×Dic158—44no—
587C2×Dic158C2414yes—
588C2×Dic158C2414yes—
589C2×Dic158C2414yes—
590C2×Dic158C2414yes—
591C2×Dic158C2414yes—
592C2×Dic158C2414yes—
593C2×Dic158C2414yes—
594C2×Dic158C2414yes—
595C2×Dic158C2414yes—
596Q8×D79—48no—
597C2×D316C2414yes—
598C2×C22⋊D79—28no—
599C2×C22⋊D79—44no—
600C2×C22⋊D79C2414yes—
601C2×C22⋊D79C2414yes—
602C2×C22⋊D79C2414yes—
603C2×C22⋊D79C2414yes—
604C2×C22⋊D79C2414yes—
605C2×C22⋊D79C2414yes—
606C22×Dic79—44no—
607C22×Dic79—44no—
608C22×Dic79C2412yes—
609C22×Dic79C2414yes—
610C22×Dic79C2412yes—
611C22×Dic79C2412yes—
612C22×Dic79C2412yes—
613C22×Dic79C2412yes—
614C22×Dic79C2412yes—
615C22×Dic79C2412yes—
616C22×Dic79C2414yes—
617C22×Dic79C2414yes—
618C22×Dic79C2412yes—
619C22×Dic79C2412yes—
620C22×Dic79C2412yes—
621C22×Dic79C2412yes—
622C22×Dic79C2414yes—
623C2×C4×D79—44no—
624C2×C4×D79C2414yes—
625C2×C4×D79C2414yes—
626C2×C4×D79C2414yes—
627C2×C4×D79C2414yes—
628C2×C4×D79C2414yes—
629C2×C4×D79C2414yes—
630C4⋊Dic79C2414yes—
631C4⋊Dic79C2414yes—
632C4⋊Dic79C2414yes—
633C4⋊Dic79C2414yes—
634C4⋊Dic79C2414yes—
635C4⋊Dic79C2414yes—
636C4⋊Dic79C2414yes—
637C4⋊Dic79C2414yes—
638C4⋊Dic79C2414yes—
639C4⋊Dic79C2414yes—
640C4⋊Dic79C2414yes—
641C4⋊Dic79C2414yes—
642C4⋊Dic79C2414yes—
643C4⋊Dic79C2414yes—
644C4⋊Dic79C2414yes—
645C4⋊Dic79C2414yes—
646Dic79⋊C4C2414yes—
647Dic79⋊C4C2414yes—
648Dic79⋊C4C2414yes—
649Dic79⋊C4C2414yes—
650Dic79⋊C4C2414yes—
651Dic79⋊C4C2414yes—
652Dic79⋊C4C2414yes—
653Dic79⋊C4C2414yes—
654Dic79⋊C4C2414yes—
655Dic79⋊C4C2414yes—
656Dic79⋊C4C2414yes—
657Dic79⋊C4C2414yes—
658Dic79⋊C4C2414yes—
659Dic79⋊C4C2414yes—
660Dic79⋊C4C2414yes—
661Dic79⋊C4C2414yes—
662Dic79⋊C4C2414yes—
663Dic79⋊C4C2414yes—
664Dic79⋊C4C2414yes—
665Dic79⋊C4C2414yes—
666Dic79⋊C4C2414yes—
667Dic79⋊C4C2414yes—
668Dic79⋊C4C2414yes—
669Dic79⋊C4C2414yes—
670Dic79⋊C4C2414yes—
671Dic79⋊C4C2414yes—
672Dic79⋊C4C2414yes—
673Dic79⋊C4C2414yes—
674Dic79⋊C4C2414yes—
675Dic79⋊C4C2414yes—
676Dic79⋊C4C2414yes—
677Dic79⋊C4C2414yes—
678C22⋊Dic79C2414yes—
679C22⋊Dic79C2414yes—
680C22⋊Dic79C2414yes—
681C22⋊Dic79C2414yes—
682C22⋊Dic79C2414yes—
683C22⋊Dic79C2414yes—
684C22⋊Dic79C2414yes—
685C22⋊Dic79C2414yes—
686C22⋊Dic79C2414yes—
687C22⋊Dic79C2414yes—
688C22⋊Dic79C2414yes—
689C22⋊Dic79C2414yes—
690(C2×D79)⋊C4C2414yes—
691(C2×D79)⋊C4C2414yes—
692(C2×D79)⋊C4C2414yes—
693(C2×D79)⋊C4C2414yes—
694(C2×D79)⋊C4C2414yes—
695(C2×D79)⋊C4C2414yes—
696(C2×D79)⋊C4C2414yes—
697(C2×D79)⋊C4C2414yes—
698(C2×D79)⋊C4C2414yes—
699(C2×D79)⋊C4C2414yes—
700(C2×D79)⋊C4C2414yes—
701(C2×D79)⋊C4C2414yes—
702(C2×D79)⋊C4C2414yes—
703(C2×D79)⋊C4C2414yes—
704(C2×D79)⋊C4C2414yes—
705(C2×D79)⋊C4C2414yes—
706C4×Dic79C2411yescharacteristic
707C4×Dic79C2412yes—
708C4×Dic79C2412yes—
709C4×Dic79C2412yes—
710C4×Dic79C2411yescharacteristic
711C4×Dic79C2412yes—
712C4×Dic79C2412yes—
713C4×Dic79C2412yes—
714C4×Dic79C2411yescharacteristic
715C4×Dic79C2411yescharacteristic
716C4×Dic79C2414yes—
717C4×Dic79C2414yes—
718C4×Dic79C2414yes—
719C4×Dic79C2414yes—
720C4×Dic79C2414yes—
721C4×Dic79C2414yes—
722C4×Dic79C2414yes—
723C4×Dic79C2414yes—
724C4×Dic79C2414yes—
725C4×Dic79C2414yes—
726C4×Dic79C2414yes—
727C4×Dic79C2414yes—
728C24×C79C2412yes—
729C24×C79C2411yescharacteristic
730C2×Q8×C79C2414yes—
731C2×D4×C79—28no—
732C2×D4×C79C2414yes—
733C2×D4×C79C2414yes—
734C2×D4×C79C2414yes—
735C22×C4×C79—24no—
736C22×C4×C79C2411yescharacteristic
737C22×C4×C79C2412yes—
738C22×C4×C79C2412yes—
739C22×C4×C79C2412yes—
740C22×C4×C79C2411yescharacteristic
741C22×C4×C79C2412yes—
742C22×C4×C79C2412yes—
743C22×C4×C79C2412yes—
744C22×C4×C79C2414yes—
745C22×C4×C79C2414yes—
746C22×C4×C79C2412yes—
747C4⋊C4×C79C2414yes—
748C4⋊C4×C79C2414yes—
749C4⋊C4×C79C2414yes—
750C4⋊C4×C79C2414yes—
751C4⋊C4×C79C2414yes—
752C4⋊C4×C79C2414yes—
753C4⋊C4×C79C2414yes—
754C4⋊C4×C79C2414yes—
755C4⋊C4×C79C2414yes—
756C4⋊C4×C79C2414yes—
757C4⋊C4×C79C2414yes—
758C4⋊C4×C79C2414yes—
759C22⋊C4×C79C2414yes—
760C22⋊C4×C79C2414yes—
761C22⋊C4×C79C2414yes—
762C22⋊C4×C79C2414yes—
763C22⋊C4×C79C2414yes—
764C22⋊C4×C79C2414yes—
765C22⋊C4×C79C2414yes—
766C22⋊C4×C79C2414yes—
767C22⋊C4×C79C2414yes—
768C22⋊C4×C79C2414yes—
769C22⋊C4×C79C2414yes—
770C22⋊C4×C79C2414yes—
771C42×C79C2414yes—
772C42×C79C2414yes—
773C42×C79C2414yes—
774C42×C79C2414yes—
775C23×C79—24no—
776C23×C79—42no—
777C23×C79—42no—
778C23×C79—42no—
779C23×C792−1+414yes—
780C23×C79C2514yes—
781C23×C79C2512yes—
782C23×C79C2511yescharacteristic
783C22×D79—24no—
784C22×D79—42no—
785C22×D79—42no—
786C22×D79C2514yes—
787Q8×C79—44no—
788D4×C79—28no—
789D4×C79—28no—
790D4×C79—44no—
791C2×C4×C79—22no—
792C2×C4×C79—22no—
793C2×C4×C79—24no—
794C2×C4×C79—24no—
795C2×C4×C79—24no—
796C2×C4×C79—42no—
797C2×C4×C79—42no—
798C2×C4×C79—44no—
799C2×C4×C79—42no—
800C2×C4×C79—42no—
801C2×C4×C79—44no—
802C2×C4×C79C2512yes—
803C2×C4×C79C2514yes—
804C2×C4×C79C2511yescharacteristic
805C2×C4×C79C2511yescharacteristic
806C2×C4×C79C2514yes—
807C2×C4×C79C2514yes—
808C2×C4×C79C2514yes—
809C2×C4×C79C2514yes—
810C22⋊D79—28no—
811C22⋊D79—28no—
812C22⋊D79—28no—
813C22⋊D79—44no—
814C22⋊D79—44no—
815C22⋊D79—44no—
816C2×Dic79—24no—
817C2×Dic79—24no—
818C2×Dic79—24no—
819C2×Dic79—24no—
820C2×Dic79—28no—
821C2×Dic79—42no—
822C2×Dic79—42no—
823C2×Dic79—42no—
824C2×Dic79—42no—
825C2×Dic79—44no—
826C2×Dic79—42no—
827C2×Dic79—42no—
828C2×Dic79—44no—
829C2×Dic79—42no—
830C2×Dic79—44no—
831C2×Dic79C2512yes—
832C2×Dic79C2514yes—
833C2×Dic79C2512yes—
834C2×Dic79C2514yes—
835C2×Dic79C2514yes—
836C2×Dic79C2514yes—
837C2×Dic79C2512yes—
838C2×Dic79C2514yes—
839C2×Dic79C2512yes—
840D316—44no—
841C4×D79—28no—
842C4×D79—44no—
843C4×D79—44no—
844C4×D79—44no—
845C4×D79—44no—
846C4×D79—44no—
847Dic158—28no—
848Dic158—28no—
849Dic158—28no—
850Dic158—44no—
851Dic158—44no—
852Dic158—44no—
853Dic158—44no—
854Dic158—44no—
855Dic158—44no—
856C22×C79—22no—
857C22×C79—22no—
858C22×C79—22no—
859C22×C79—24no—
860C22×C79—24no—
861C22×C79—24no—
862C22×C79—44no—
863C22×C79—84no—
864C22×C79C2×2−1+412yes—
865C22×C79C2×2−1+414yes—
866C22×C79C2611yescharacteristic
867C2×D79—24no—
868C2×D79—24no—
869C2×D79—24no—
870C2×D79—84no—
871C4×C79—22no—
872C4×C79—21no—
873C4×C79—21no—
874C4×C79—24no—
875C4×C79—24no—
876C4×C79—24no—
877C4×C79—24no—
878C4×C79—24no—
879Dic79—24no—
880Dic79—22no—
881Dic79—24no—
882Dic79—24no—
883Dic79—24no—
884Dic79—22no—
885Dic79—24no—
886Dic79—22no—
887Dic79#58514yes—
888#62823—791nomaximal, Sylow
889C2×C79—24no—
890C2×C79—22no—
891C2×C79—44no—
892C2×C79C22×2−1+411yescharacteristic
893C2×C79C2×#58512yes—
894D79—44no—
895#3564—794no—
896#3564—794no—
897#3563—794no—
898#3561—794no—
899#3553—794no—
900#3552—794no—
901#3523—794no—
902#3520—794no—
903#3516—794no—
904#3516—794no—
905#3505—792no—
906#3505—792no—
907#3501—792no—
908#3501—792no—
909#3495—794no—
910#3495—794no—
911#3491—792no—
912#3491—791no—
913#3491D7911yescharacteristic, complemented
914C2×#533—791no—
915C2×#529—792no—
916C79#6282311yescharacteristic, complemented, Sylow
917#564—794no—
918#563—794no—
919#563—794no—
920#563—794no—
921#563—794no—
922#563—794no—
923#563—794no—
924#562—794no—
925#557—794no—
926#557—794no—
927#557—794no—
928#556—794no—
929#556—794no—
930#556—794no—
931#556—794no—
932#556—794no—
933#556—794no—
934#556—794no—
935#554—794no—
936#554—794no—
937#554—794no—
938#554—794no—
939#554—794no—
940#554—794no—
941#554—794no—
942#554—794no—
943#554—794no—
944#554—794no—
945#554—794no—
946#554—794no—
947#553—794no—
948#553—794no—
949#553—794no—
950#553—794no—
951#553—794no—
952#553—794no—
953#552—794no—
954#552—794no—
955#552—794no—
956#552—794no—
957#552—794no—
958#552—794no—
959#552—794no—
960#552—794no—
961#552—794no—
962#552—794no—
963#552—794no—
964#552—794no—
965#552—794no—
966#552—794no—
967#552—794no—
968#552—794no—
969#552—794no—
970#552—794no—
971#552C2×D7914yescomplemented
972#552C2×D7914yescomplemented
973#551—794no—
974#551—794no—
975#551—794no—
976#551—794no—
977#551—794no—
978#551—794no—
979#551—794no—
980#551—794no—
981#551—794no—
982#551—794no—
983#551C2×D7914yescomplemented
984#551C2×D7914yescomplemented
985D4×Q8—794no—
986D4×Q8—794no—
987D4×Q8—794no—
988D4×Q8—794no—
989D4×Q8—794no—
990#548—794no—
991#548—794no—
992#548—794no—
993#548—794no—
994#547—794no—
995#546—794no—
996#546—794no—
997#544—794no—
998#544—794no—
999#544—794no—
1000#544—794no—
1001#543—794no—
1002#543—792no—
1003#543—791no—
1004#543—794no—
1005#543C2×D7911yescharacteristic
1006#542—794no—
1007#542—794no—
1008#542—794no—
1009#542—794no—
1010#542—794no—
1011#542—794no—
1012#542—794no—
1013#542—794no—
1014#541—794no—
1015#541—794no—
1016#541—794no—
1017#541—794no—
1018#541—794no—
1019#541—794no—
1020#541—794no—
1021#541—794no—
1022#541—794no—
1023#541—794no—
1024#541—794no—
1025#541—794no—
1026#539—794no—
1027#539—794no—
1028#539—794no—
1029#539—794no—
1030#539—794no—
1031#539—794no—
1032#539—794no—
1033#539—794no—
1034#539—794no—
1035#539C2×D7914yescomplemented
1036#538—794no—
1037#538—794no—
1038#536—794no—
1039#536—794no—
1040#534—792no—
1041#534—791no—
1042#534C2×D7911yescharacteristic
1043#533—794no—
1044#533—794no—
1045#533—794no—
1046#533—794no—
1047#533—794no—
1048#533—794no—
1049C2×C4⋊Q8—792no—
1050#529—794no—
1051#529—794no—
1052#529—794no—
1053#529—794no—
1054#529—794no—
1055#529—794no—
1056#529—794no—
1057#529—794no—
1058#529—794no—
1059#529—794no—
1060#529—794no—
1061#529—794no—
1062#529—794no—
1063#529C2×D7914yescomplemented
1064C2×#126—792no—
1065C2×#126—792no—
1066C2×#125—792no—
1067C2×#125—792no—
1068C2×#124—792no—
1069#525—794no—
1070#525—794no—
1071C2×#123—792no—
1072C2×#123C2×D7912yes—
1073C2×C22⋊Q8—794no—
1074C2×C22⋊Q8—792no—
1075C2×C22⋊Q8—792no—
1076C2×C22⋊Q8—792no—
1077C2×C22⋊Q8—794no—
1078C2×#121—792no—
1079#520—794no—
1080#520—794no—
1081#519—794no—
1082#519—794no—
1083#518—792no—
1084#518—792no—
1085#518—792no—
1086#518C2×D7912yes—
1087C2×C4×Q8—792no—
1088C2×C4×Q8—792no—
1089C2×C4×Q8—792no—
1090C2×C4×D4—792no—
1091C2×C4×D4—792no—
1092C2×C4×D4—792no—
1093C2×#117—791no—
1094C2×#117—792no—
1095C2×#117—792no—
1096C2×#117C2×D7911yescharacteristic
1097C22×C42—791no—
1098C2×#41—794no—
1099C2×#41—794no—
1100C22×Q8—794no—
1101C22×Q8—792no—
1102C22×Q8—792no—
1103C22×Q8—792no—
1104C22×Q8—794no—
1105C22×D4—792no—
1106C22×D4—792no—
1107C22×D4C22×D7912yes—
1108C23×C4—792no—
1109C23×C4—792no—
1110C23×C4—792no—
1111C23×C4C22×D7911yescharacteristic
1112C4⋊Q8—794no—
1113C4⋊Q8—794no—
1114C4⋊Q8—794no—
1115C4⋊Q8—794no—
1116C4⋊Q8—794no—
1117C4⋊Q8—794no—
1118C4⋊Q8—794no—
1119C4⋊Q8—794no—
1120C4⋊Q8—794no—
1121C4⋊Q8—794no—
1122C4⋊Q8—794no—
1123C4⋊Q8—794no—
1124C4⋊Q8—794no—
1125C4⋊Q8—794no—
1126C4⋊Q8—794no—
1127C4⋊Q8—794no—
1128#126—794no—
1129#126—794no—
1130#126—794no—
1131#126—794no—
1132#126—794no—
1133#126—794no—
1134#126—794no—
1135#126—794no—
1136#126—794no—
1137#126—794no—
1138#126—794no—
1139#126—794no—
1140#126—794no—
1141#126—794no—
1142#126—794no—
1143#126—794no—
1144#126—794no—
1145#126—794no—
1146#126—794no—
1147#126—794no—
1148#126—794no—
1149#126—794no—
1150#126—794no—
1151#126—794no—
1152#126—794no—
1153#126—794no—
1154#126—794no—
1155#126—794no—
1156#126—794no—
1157#126—794no—
1158#126—794no—
1159#126—794no—
1160#126C22×D7914yes—
1161#126C22×D7914yes—
1162#126C22×D7914yes—
1163#126C22×D7914yes—
1164#125—794no—
1165#125—794no—
1166#125—794no—
1167#125—794no—
1168#125—794no—
1169#125—794no—
1170#125—794no—
1171#125—794no—
1172#125—794no—
1173#125—794no—
1174#125—794no—
1175#125—794no—
1176#125—794no—
1177#125—794no—
1178#125—794no—
1179#125—794no—
1180#125—794no—
1181#125—794no—
1182#125—794no—
1183#125—794no—
1184#125—794no—
1185#125—794no—
1186#125—794no—
1187#125—794no—
1188#125—794no—
1189#125—794no—
1190#125—794no—
1191#125—794no—
1192#125—794no—
1193#125—794no—
1194#125—794no—
1195#125—794no—
1196#125—794no—
1197#125—794no—
1198#125—794no—
1199#125C22×D7914yes—
1200#125C22×D7914yes—
1201#125C22×D7914yes—
1202#124—794no—
1203#124—794no—
1204#124—794no—
1205#124—794no—
1206#124—794no—
1207#124—794no—
1208#124—794no—
1209#124—794no—
1210#124—794no—
1211#124—794no—
1212#124—794no—
1213#124—794no—
1214#124—794no—
1215#124C22×D7914yes—
1216#123—794no—
1217#123—794no—
1218#123—794no—
1219#123—794no—
1220#123—794no—
1221#123—794no—
1222#123—794no—
1223#123—794no—
1224#123—794no—
1225#123—794no—
1226#123—794no—
1227#123—794no—
1228#123—794no—
1229#123—794no—
1230#123—794no—
1231#123—794no—
1232#123—794no—
1233#123—794no—
1234#123—794no—
1235#123—794no—
1236#123—794no—
1237#123—794no—
1238#123—794no—
1239#123—794no—
1240#123—794no—
1241#123C22×D7914yes—
1242#123C22×D7914yes—
1243#123C22×D7914yes—
1244#123C22×D7914yes—
1245#123C22×D7914yes—
1246#123C22×D7914yes—
1247#123C22×D7914yes—
1248C22⋊Q8—794no—
1249C22⋊Q8—794no—
1250C22⋊Q8—794no—
1251C22⋊Q8—794no—
1252C22⋊Q8—794no—
1253C22⋊Q8—794no—
1254C22⋊Q8—794no—
1255C22⋊Q8—794no—
1256C22⋊Q8—794no—
1257C22⋊Q8—794no—
1258C22⋊Q8—794no—
1259C22⋊Q8—794no—
1260C22⋊Q8—794no—
1261C22⋊Q8—794no—
1262C22⋊Q8—794no—
1263C22⋊Q8—794no—
1264C22⋊Q8—794no—
1265C22⋊Q8—794no—
1266C22⋊Q8—794no—
1267C22⋊Q8—794no—
1268C22⋊Q8—794no—
1269C22⋊Q8—794no—
1270C22⋊Q8—794no—
1271C22⋊Q8—794no—
1272C22⋊Q8—794no—
1273C22⋊Q8—794no—
1274C22⋊Q8—794no—
1275C22⋊Q8—794no—
1276C22⋊Q8—794no—
1277C22⋊Q8—794no—
1278C22⋊Q8—794no—
1279C22⋊Q8—794no—
1280C22⋊Q8—794no—
1281C22⋊Q8—794no—
1282C22⋊Q8—794no—
1283C22⋊Q8—794no—
1284C22⋊Q8—794no—
1285C22⋊Q8—794no—
1286C22⋊Q8—794no—
1287C22⋊Q8—794no—
1288C22⋊Q8—794no—
1289C22⋊Q8—794no—
1290C22⋊Q8—794no—
1291C22⋊Q8—794no—
1292C22⋊Q8—794no—
1293C22⋊Q8—794no—
1294C22⋊Q8—794no—
1295C22⋊Q8—794no—
1296C22⋊Q8—794no—
1297C22⋊Q8—794no—
1298C22⋊Q8—794no—
1299C22⋊Q8—794no—
1300C22⋊Q8—794no—
1301C22⋊Q8—794no—
1302C22⋊Q8—794no—
1303C22⋊Q8—794no—
1304C22⋊Q8—794no—
1305C22⋊Q8C22×D7914yes—
1306C22⋊Q8C22×D7914yes—
1307C22⋊Q8C22×D7914yes—
1308C22⋊Q8C22×D7914yes—
1309C22⋊Q8C22×D7914yes—
1310#121—794no—
1311#121—794no—
1312#121—794no—
1313#121—794no—
1314#121—794no—
1315#121—794no—
1316#121—794no—
1317#121—794no—
1318#121—794no—
1319#121—794no—
1320#121—794no—
1321#121—794no—
1322#121—794no—
1323#121C22×D7914yes—
1324#120—794no—
1325#120—794no—
1326#120—794no—
1327#120C22×D7914yes—
1328C4×Q8—794no—
1329C4×Q8—794no—
1330C4×Q8—794no—
1331C4×Q8—794no—
1332C4×Q8—794no—
1333C4×Q8—794no—
1334C4×Q8—794no—
1335C4×Q8—794no—
1336C4×Q8—794no—
1337C4×Q8—794no—
1338C4×Q8—794no—
1339C4×Q8—794no—
1340C4×Q8—794no—
1341C4×Q8—794no—
1342C4×Q8—794no—
1343C4×Q8—794no—
1344C4×Q8—794no—
1345C4×Q8—794no—
1346C4×Q8—794no—
1347C4×Q8—794no—
1348C4×Q8—794no—
1349C4×Q8—794no—
1350C4×Q8—794no—
1351C4×Q8—794no—
1352C4×Q8—794no—
1353C4×Q8C22×D7914yes—
1354C4×D4—794no—
1355C4×D4—794no—
1356C4×D4—794no—
1357C4×D4—794no—
1358C4×D4—794no—
1359C4×D4—794no—
1360C4×D4—794no—
1361C4×D4—794no—
1362C4×D4—794no—
1363C4×D4—794no—
1364C4×D4—794no—
1365C4×D4—794no—
1366C4×D4—794no—
1367C4×D4—794no—
1368C4×D4—794no—
1369C4×D4—794no—
1370C4×D4—794no—
1371C4×D4—794no—
1372C4×D4—794no—
1373C4×D4—794no—
1374C4×D4—794no—
1375C4×D4—794no—
1376C4×D4—794no—
1377C4×D4—794no—
1378C4×D4—794no—
1379C4×D4—794no—
1380C4×D4—794no—
1381C4×D4—794no—
1382C4×D4—794no—
1383C4×D4—794no—
1384C4×D4—794no—
1385C4×D4—794no—
1386C4×D4—794no—
1387C4×D4C22×D7914yes—
1388C4×D4C22×D7914yes—
1389C4×D4C22×D7914yes—
1390C4×D4C22×D7914yes—
1391C4×D4C22×D7914yes—
1392#117—794no—
1393#117—794no—
1394#117—794no—
1395#117—794no—
1396#117—794no—
1397#117—794no—
1398#117—794no—
1399#117—794no—
1400#117—794no—
1401#117—794no—
1402#117—794no—
1403#117—794no—
1404#117—794no—
1405#117—794no—
1406#117—794no—
1407#117—794no—
1408#117—794no—
1409#117—794no—
1410#117—794no—
1411#117—794no—
1412#117—794no—
1413#117—794no—
1414#117—794no—
1415#117—794no—
1416#117—794no—
1417#117C22×D7914yes—
1418#117C22×D7914yes—
1419#117C22×D7914yes—
1420#117C22×D7914yes—
1421#117C22×D7914yes—
1422C2×C4⋊C4—792no—
1423C2×C4⋊C4—792no—
1424C2×C4⋊C4—792no—
1425C2×C4⋊C4—792no—
1426C2×C4⋊C4—792no—
1427C2×C4⋊C4—792no—
1428C2×C4⋊C4—792no—
1429C2×C4⋊C4—792no—
1430C2×C4⋊C4—792no—
1431C2×C4⋊C4—792no—
1432C2×C4⋊C4—792no—
1433C2×C4⋊C4—792no—
1434C2×C4⋊C4—792no—
1435C2×C4⋊C4—792no—
1436C2×C4⋊C4—792no—
1437C2×C4⋊C4—794no—
1438C2×C4⋊C4—794no—
1439C2×C4⋊C4—794no—
1440C2×C4⋊C4—794no—
1441C2×C4⋊C4—794no—
1442C2×C4⋊C4—794no—
1443C2×C4⋊C4C22×D7912yes—
1444C2×C4⋊C4C22×D7912yes—
1445C2×C4⋊C4C22×D7912yes—
1446C2×C22⋊C4—792no—
1447C2×C22⋊C4—792no—
1448C2×C22⋊C4—792no—
1449C2×C22⋊C4—792no—
1450C2×C22⋊C4—794no—
1451C2×C22⋊C4—792no—
1452C2×C22⋊C4—792no—
1453C2×C22⋊C4—792no—
1454C2×C22⋊C4—792no—
1455C2×C22⋊C4—794no—
1456C2×C22⋊C4—794no—
1457C2×C22⋊C4C22×D7912yes—
1458C2×C22⋊C4C22×D7911yescharacteristic
1459C2×C22⋊C4C22×D7911yescharacteristic
1460C2×C22⋊C4C22×D7912yes—
1461C2×C22⋊C4C22×D7912yes—
1462C2×C22⋊C4C22×D7914yes—
1463C2×C42—792no—
1464C2×C42—792no—
1465C2×C42—792no—
1466C2×C42—791no—
1467C2×C42—791no—
1468C2×C42—792no—
1469C2×C42—792no—
1470C2×C42—792no—
1471C2×C42—791no—
1472C2×C42—792no—
1473C2×C42—791no—
1474C2×C42C22×D7912yes—
1475C24—792no—
1476C24C23×D7912yes—
1477C24C23×D7911yescharacteristic
1478#41—3168no—
1479#41—3168no—
1480C2×Q8—3164no—
1481C2×Q8—3164no—
1482C2×Q8—3164no—
1483C2×Q8—3168no—
1484C2×Q8—3168no—
1485C2×Q8—794no—
1486C2×Q8—794no—
1487C2×Q8—794no—
1488C2×Q8—794no—
1489C2×Q8—794no—
1490C2×Q8—794no—
1491C2×Q8—794no—
1492C2×Q8—794no—
1493C2×Q8—794no—
1494C2×Q8C23×D7914yes—
1495C2×D4—28no—
1496C2×D4—3164no—
1497C2×D4—794no—
1498C2×D4—794no—
1499C2×D4—794no—
1500C2×D4—794no—
1501C2×D4—794no—
1502C2×D4—794no—
1503C2×D4—794no—
1504C2×D4—1588no—
1505C2×D4C23×D7914yes—
1506C2×D4C23×D7914yes—
1507C2×D4C23×D7914yes—
1508C22×C4—24no—
1509C22×C4—3164no—
1510C22×C4—3164no—
1511C22×C4—3164no—
1512C22×C4—792no—
1513C22×C4—792no—
1514C22×C4—792no—
1515C22×C4—792no—
1516C22×C4—792no—
1517C22×C4—792no—
1518C22×C4—792no—
1519C22×C4—794no—
1520C22×C4—794no—
1521C22×C4—794no—
1522C22×C4—794no—
1523C22×C4—794no—
1524C22×C4—794no—
1525C22×C4—794no—
1526C22×C4—794no—
1527C22×C4—792no—
1528C22×C4—792no—
1529C22×C4—792no—
1530C22×C4—792no—
1531C22×C4—794no—
1532C22×C4—794no—
1533C22×C4C23×D7911yescharacteristic
1534C22×C4C23×D7912yes—
1535C22×C4C23×D7912yes—
1536C22×C4C23×D7911yescharacteristic
1537C22×C4C23×D7912yes—
1538C22×C4C23×D7912yes—
1539C22×C4C23×D7912yes—
1540C22×C4C23×D7912yes—
1541C22×C4C23×D7912yes—
1542C22×C4C23×D7914yes—
1543C22×C4C23×D7914yes—
1544C4⋊C4—794no—
1545C4⋊C4—794no—
1546C4⋊C4—794no—
1547C4⋊C4—794no—
1548C4⋊C4—794no—
1549C4⋊C4—794no—
1550C4⋊C4—794no—
1551C4⋊C4—794no—
1552C4⋊C4—794no—
1553C4⋊C4—794no—
1554C4⋊C4—794no—
1555C4⋊C4—794no—
1556C4⋊C4—794no—
1557C4⋊C4—794no—
1558C4⋊C4—794no—
1559C4⋊C4—794no—
1560C4⋊C4—794no—
1561C4⋊C4—794no—
1562C4⋊C4—794no—
1563C4⋊C4—794no—
1564C4⋊C4—794no—
1565C4⋊C4—794no—
1566C4⋊C4—794no—
1567C4⋊C4—794no—
1568C4⋊C4—794no—
1569C4⋊C4—794no—
1570C4⋊C4—794no—
1571C4⋊C4—794no—
1572C4⋊C4—794no—
1573C4⋊C4—794no—
1574C4⋊C4—794no—
1575C4⋊C4—794no—
1576C4⋊C4—794no—
1577C4⋊C4—794no—
1578C4⋊C4—794no—
1579C4⋊C4—794no—
1580C4⋊C4—794no—
1581C4⋊C4—794no—
1582C4⋊C4—794no—
1583C4⋊C4—794no—
1584C4⋊C4—794no—
1585C4⋊C4—794no—
1586C4⋊C4—794no—
1587C4⋊C4—794no—
1588C4⋊C4—794no—
1589C4⋊C4—794no—
1590C4⋊C4—794no—
1591C4⋊C4—794no—
1592C4⋊C4C23×D7914yes—
1593C4⋊C4C23×D7914yes—
1594C4⋊C4C23×D7914yes—
1595C4⋊C4C23×D7914yes—
1596C4⋊C4C23×D7914yes—
1597C4⋊C4C23×D7914yes—
1598C4⋊C4C23×D7914yes—
1599C4⋊C4C23×D7914yes—
1600C4⋊C4C23×D7914yes—
1601C4⋊C4C23×D7914yes—
1602C4⋊C4C23×D7914yes—
1603C4⋊C4C23×D7914yes—
1604C22⋊C4—794no—
1605C22⋊C4—794no—
1606C22⋊C4—794no—
1607C22⋊C4—794no—
1608C22⋊C4—794no—
1609C22⋊C4—794no—
1610C22⋊C4—794no—
1611C22⋊C4—794no—
1612C22⋊C4—794no—
1613C22⋊C4—794no—
1614C22⋊C4—794no—
1615C22⋊C4—794no—
1616C22⋊C4—794no—
1617C22⋊C4—794no—
1618C22⋊C4—794no—
1619C22⋊C4—794no—
1620C22⋊C4—794no—
1621C22⋊C4—794no—
1622C22⋊C4—794no—
1623C22⋊C4—794no—
1624C22⋊C4—794no—
1625C22⋊C4—794no—
1626C22⋊C4—794no—
1627C22⋊C4—794no—
1628C22⋊C4—794no—
1629C22⋊C4—794no—
1630C22⋊C4—794no—
1631C22⋊C4—794no—
1632C22⋊C4C23×D7914yes—
1633C22⋊C4C23×D7914yes—
1634C22⋊C4C23×D7914yes—
1635C22⋊C4C23×D7914yes—
1636C22⋊C4C23×D7914yes—
1637C22⋊C4C23×D7914yes—
1638C22⋊C4C23×D7914yes—
1639C22⋊C4C23×D7914yes—
1640C22⋊C4C23×D7914yes—
1641C22⋊C4C23×D7914yes—
1642C22⋊C4C23×D7914yes—
1643C22⋊C4C23×D7914yes—
1644C42—791no—
1645C42—792no—
1646C42—792no—
1647C42—792no—
1648C42—791no—
1649C42—792no—
1650C42—792no—
1651C42—792no—
1652C42—791no—
1653C42—791no—
1654C42—794no—
1655C42—794no—
1656C42—794no—
1657C42—794no—
1658C42—794no—
1659C42—794no—
1660C42—794no—
1661C42—794no—
1662C42—794no—
1663C42—794no—
1664C42—794no—
1665C42—794no—
1666C42C23×D7914yes—
1667C42C23×D7914yes—
1668C42C23×D7914yes—
1669C42C23×D7914yes—
1670C23—24no—
1671C23—42no—
1672C23—42no—
1673C23—42no—
1674C23—3162no—
1675C23—3162no—
1676C23—794no—
1677C23—1584no—
1678C23#1457920814yes—
1679C23C24×D7914yes—
1680C23C24×D7912yes—
1681C23C24×D7911yescharacteristic
1682Q8—44no—
1683Q8—3164no—
1684Q8—3164no—
1685Q8—3164no—
1686Q8—3164no—
1687Q8—3164no—
1688Q8—3164no—
1689Q8—1588no—
1690Q8—1588no—
1691Q8—1588no—
1692D4—28no—
1693D4—28no—
1694D4—44no—
1695D4—3164no—
1696D4—3164no—
1697D4—3164no—
1698D4—3164no—
1699D4—1588no—
1700D4—1588no—
1701D4—1588no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—42no—
1708C2×C4—42no—
1709C2×C4—44no—
1710C2×C4—42no—
1711C2×C4—42no—
1712C2×C4—44no—
1713C2×C4—3164no—
1714C2×C4—3164no—
1715C2×C4—3164no—
1716C2×C4—3164no—
1717C2×C4—3164no—
1718C2×C4—3164no—
1719C2×C4—3162no—
1720C2×C4—3162no—
1721C2×C4—3162no—
1722C2×C4—3162no—
1723C2×C4—3162no—
1724C2×C4—3162no—
1725C2×C4—3164no—
1726C2×C4—3162no—
1727C2×C4—3164no—
1728C2×C4—792no—
1729C2×C4—792no—
1730C2×C4—794no—
1731C2×C4—794no—
1732C2×C4—792no—
1733C2×C4—794no—
1734C2×C4—794no—
1735C2×C4—792no—
1736C2×C4—794no—
1737C2×C4—1588no—
1738C2×C4—1584no—
1739C2×C4—1584no—
1740C2×C4—1584no—
1741C2×C4—1588no—
1742C2×C4—1584no—
1743C2×C4C24×D7912yes—
1744C2×C4C24×D7914yes—
1745C2×C4C24×D7911yescharacteristic
1746C2×C4C24×D7911yescharacteristic
1747C2×C4C24×D7914yes—
1748C2×C4C24×D7914yes—
1749C2×C4C24×D7914yes—
1750C2×C4C24×D7914yes—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—24no—
1755C22—24no—
1756C22—24no—
1757C22—44no—
1758C22—84no—
1759C22—6324no—
1760C22—1584no—
1761C22—1584no—
1762C22—1584no—
1763C22C2×#1457920814yes—
1764C22C2×#1457920812yes—
1765C22C25×D7911yescharacteristic
1766C4—22no—
1767C4—21no—
1768C4—21no—
1769C4—24no—
1770C4—24no—
1771C4—24no—
1772C4—24no—
1773C4—24no—
1774C4—794no—
1775C4—1584no—
1776C4—1582no—
1777C4—1584no—
1778C4—1584no—
1779C4—1584no—
1780C4—1584no—
1781C4—1582no—
1782C4—1582no—
1783C2—24no—
1784C2—22no—
1785C2—44no—
1786C2—3164no—
1787C2C22×#1457920811yescharacteristic
1788C2#585×D7912yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3491C2
hypercenter#3491D79
hypocenterC79#62823
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3491

Complements

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

NH ≅ G/Ntype
1. #23778020C2semidirect
2. #23778012C2semidirect
3. #23777997C2semidirect
4. #23777958C2semidirect
5. #23777850C2semidirect
6. #23777833C2semidirect
7. #23777489C2semidirect
8. #23777438C2semidirect
9. #23777389C2semidirect
10. #23777383C2semidirect
11. #23777237C2semidirect
12. #23777230C2semidirect
13. #23777200C2semidirect
14. #23777198C2semidirect
15. #23777141C2semidirect
16. #23777139C2semidirect
17. #23777098C2semidirect
18. #23777096C2semidirect
19. C2×#19099116C2semidirect
20. C2×#19099090C2semidirect
21. C79×#3491C2semidirect
22. C79⋊#564C22semidirect
23. #19099317C22semidirect
24. #19099316C22semidirect
25. #19099315C22semidirect
26. #19099315C22semidirect
27. #19099314C22semidirect
28. #19099314C22semidirect
29. #19099310C22semidirect
30. #19099291C22semidirect
31. #19099290C22semidirect
32. #19099290C22semidirect
33. #19099286C22semidirect
34. #19099282C22semidirect
35. #19099281C22semidirect
36. #19099281C22semidirect
37. #19099280C22semidirect
38. #19099280C22semidirect
39. #19099280C22semidirect
40. #19099272C22semidirect
41. #19099272C22semidirect
42. #19099272C22semidirect
43. #19099272C22semidirect
44. #19099271C22semidirect
45. #19099271C22semidirect
46. #19099270C22semidirect
47. #19099270C22semidirect
48. #19099267C22semidirect
49. #19099267C22semidirect
50. #19099267C22semidirect
51. #19099267C22semidirect
52. #19099265C22semidirect
53. #19099262C22semidirect
54. #19099262C22semidirect
55. #19099259C22semidirect
56. #19099256C22semidirect
57. #19099256C22semidirect
58. #19099255C22semidirect
59. #19099253C22semidirect
60. #19099251C22semidirect
61. #19099251C22semidirect
62. #19099250C22semidirect
63. #19099250C22semidirect
64. #19099250C22semidirect
65. #19099250C22semidirect
66. #19099249C22semidirect
67. #19099249C22semidirect
68. #19099249C22semidirect
69. #19099248C22semidirect
70. #19099248C22semidirect
71. #19099246C22semidirect
72. #19099246C22semidirect
73. #19099246C22semidirect
74. #19099246C22semidirect
75. #19099246C22semidirect
76. #19099244C22semidirect
77. #19099239C22semidirect
78. #19099239C22semidirect
79. #19099239C22semidirect
80. #19099237C22semidirect
81. #19099237C22semidirect
82. #19099237C22semidirect
83. #19099236C22semidirect
84. #19099236C22semidirect
85. #19099236C22semidirect
86. D4×Dic158C22semidirect
87. D4×Dic158C22semidirect
88. #19099226C22semidirect
89. #19099226C22semidirect
90. #19099226C22semidirect
91. #19099222C22semidirect
92. #19099222C22semidirect
93. #19099221C22semidirect
94. #19099219C22semidirect
95. #19099211C22semidirect
96. #19099203C22semidirect
97. #19099200C22semidirect
98. #19099193C22semidirect
99. #19099192C22semidirect
100. #19099192C22semidirect
101. #19099191C22semidirect
104. #19099189C22semidirect
105. #19099188C22semidirect
106. #19099184C22semidirect
107. #19099181C22semidirect
108. #19099179C22semidirect
109. #19099179C22semidirect
110. #19099179C22semidirect
111. #19099178C22semidirect
112. #19099177C22semidirect
113. #19099177C22semidirect
114. #19099176C22semidirect
115. #19099175C22semidirect
116. #19099173C22semidirect
117. #19099172C22semidirect
118. #19099172C22semidirect
119. #19099172C22semidirect
120. #19099172C22semidirect
121. #19099171C22semidirect
122. #19099170C22semidirect
123. #19099170C22semidirect
124. #19099170C22semidirect
125. #19099170C22semidirect
126. #19099162C22semidirect
127. #19099160C22semidirect
129. #19099157C22semidirect
130. #19099157C22semidirect
131. #19099157C22semidirect
132. #19099156C22semidirect
134. #19099154C22semidirect
137. #19099136C22semidirect
138. #19099135C22semidirect
141. #19099116C22semidirect
142. #19099116C22semidirect
143. #19099116C22semidirect
144. #19099116C22semidirect
145. #19099116C22semidirect
146. #19099115C22semidirect
147. C2×#14579160C22semidirect
148. #19099097C22semidirect
155. #19099090C22semidirect
156. #19099090C22semidirect
157. #19099090C22semidirect
158. #19099090C22semidirect
159. #19099090C22semidirect
160. #19099090C22semidirect
161. C2×#14579156C22semidirect
162. C2×#14579154C22semidirect
163. C2×#14579152C22semidirect
164. C2×#14579151C22semidirect
165. C2×#14579147C22semidirect
172. C2×#14579138C22semidirect
173. C22⋊Q8×D79C22semidirect
175. #19099043C22semidirect
176. #19099042C22semidirect
177. #19099040C22semidirect
178. #19099039C22semidirect
182. C2×C4×Dic158C22semidirect
183. C2×C4×Dic158C22semidirect
184. C2×#14579126C22semidirect
187. C2×(C22⋊D79)⋊C4C22semidirect
189. C2×#14579119C22semidirect
190. C2×#14579117C22semidirect
192. #552×C79C22semidirect
193. #552×C79C22semidirect
194. #551×C79C22semidirect
195. #551×C79C22semidirect
197. #539×C79C22semidirect
199. #529×C79C22semidirect
913. #3491D79semidirect
916. C79#62823semidirect
971. #552C2×D79semidirect
972. #552C2×D79semidirect
983. #551C2×D79semidirect
984. #551C2×D79semidirect
1035. #539C2×D79semidirect
1063. #529C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780202
#237780122
#237779972
#237779582
#237778502
#237778332
#237774892
#237774382
#237773892
#237773832
#237772372
#237772302
#237772002
#237771982
#237771412
#237771392
#237770982
#237770962
C2×#190991162
C2×#190990902
C79×#34912
#6282379