Finite Group Databasebeta

← #35196927

Subgroups — #35196927

Order 20224.

7382 conjugacy classes of subgroups.

The subgroup lattice has 2114 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777610C212yesmaximal, complemented
2#23777606C212yesmaximal, complemented
3#23777604C214yesmaximal, complemented
4#23777595C212yesmaximal, complemented
5#23777579C212yesmaximal, complemented
6#23777577C214yesmaximal, complemented
7#23777570C214yesmaximal, complemented
8#23777566C214yesmaximal, complemented
9#23777343C214yesmaximal, complemented
10#23777342C214yesmaximal, complemented
11#23777331C214yesmaximal, complemented
12#23777330C214yesmaximal, complemented
13#23777109C211yesmaximal, characteristic, complemented
14#23777101C212yesmaximal, complemented
15#23777095C214yesmaximal, complemented
16#23777083C212yesmaximal, complemented
17#23777083C212yesmaximal, complemented
18#23777083C212yesmaximal, complemented
19#23777039C214yesmaximal, complemented
20#23777033C212yesmaximal, complemented
21#525×D79C212yesmaximal, complemented
22C22×#14579146C211yesmaximal, characteristic, complemented
23C79×#3492C211yesmaximal, characteristic, complemented
24C2×#14579207C2212yescomplemented
25C2×#41×D79C2212yescomplemented
26C23×D316C2211yescharacteristic
27C23×C4×D79C2211yescharacteristic, complemented
28#19099317C2214yescomplemented
29#19099312C2214yescomplemented
30#19099311C2214yescomplemented
31#19099310C2214yescomplemented
32#19099309C2214yescomplemented
33#19099309C2214yescomplemented
34#19099304C2214yescomplemented
35#19099301C2214yescomplemented
36#19099298C2214yescomplemented
37#19099297C2214yescomplemented
38#19099272C2214yescomplemented
39#19099268C2214yescomplemented
40#19099267C2214yescomplemented
41#19099266C2214yescomplemented
42#19099264C2214yescomplemented
43#19099262C2214yescomplemented
44#19099262C2214yescomplemented
45#19099261C2214yescomplemented
46#19099261C2214yescomplemented
47#19099256C2214yescomplemented
48#19099254C2214yescomplemented
49#19099251C2214yescomplemented
50#19099250C2214yescomplemented
51#19099248C2214yescomplemented
52#19099246C2214yescomplemented
53#19099245C2214yescomplemented
54#19099245C2214yescomplemented
55#19099242C2214yescomplemented
56#19099242C2214yescomplemented
57#19099242C2214yescomplemented
58#19099240C2214yescomplemented
59#19099240C2214yescomplemented
60#19099240C2214yescomplemented
61#19099240C2214yescomplemented
62#19099240C2214yescomplemented
63#19099238C2214yescomplemented
64#19099238C2214yescomplemented
65#19099237C2214yescomplemented
66#19099237C2214yescomplemented
67#19099237C2214yescomplemented
68#19099237C2214yescomplemented
69#19099237C2214yescomplemented
70#19099236C2214yescomplemented
71#19099236C2214yescomplemented
72#19099236C2214yescomplemented
73#19099216C2214yescomplemented
74#19099215C2214yescomplemented
75#19099214C2214yescomplemented
76#19099214C2214yescomplemented
77#19099212C2214yescomplemented
78#19099211C2214yescomplemented
79#19099211C2214yescomplemented
80#19099209C2214yescomplemented
81#19099209C2214yescomplemented
82#19099209C2214yescomplemented
83#19099208C2214yescomplemented
84#19099208C2214yescomplemented
85#19099208C2214yescomplemented
86#19099205C2214yescomplemented
87#19099205C2214yescomplemented
88#19099205C2214yescomplemented
89#19099205C2214yescomplemented
90#19099204C2214yescomplemented
91#19099204C2214yescomplemented
92#19099204C2214yescomplemented
93#19099202C2214yescomplemented
94#19099202C2214yescomplemented
95#19099202C2214yescomplemented
96#19099202C2214yescomplemented
97#19099201C2214yescomplemented
98#19099201C2214yescomplemented
99#19099201C2214yescomplemented
100D4×D316C2214yescomplemented
101D4×D316C2214yescomplemented
102#19099197C2214yescomplemented
103#19099197C2214yescomplemented
104#19099194C2211yescharacteristic, complemented
105#19099192C2212yescomplemented
106#19099188C2212yescomplemented
107#19099188C2212yescomplemented
108#19099188C2212yescomplemented
109#19099187C2214yescomplemented
110#19099185C2214yescomplemented
111#19099183C2214yescomplemented
112#19099179C2214yescomplemented
113#19099169C2214yescomplemented
114#19099168C2214yescomplemented
115#19099165C2214yescomplemented
116#19099163C2214yescomplemented
117#19099162C2212yescomplemented
118#19099162C2214yescomplemented
119#19099161C2214yescomplemented
120#19099161C2214yescomplemented
121#19099161C2214yescomplemented
122#19099161C2214yescomplemented
123#19099160C2212yescomplemented
124#19099160C2212yescomplemented
125#19099160C2214yescomplemented
126#19099159C2214yescomplemented
127#19099158C2212yescomplemented
128#19099155C2214yescomplemented
129#19099154C2214yescomplemented
130#19099153C2212yescomplemented
131#19099153C2212yescomplemented
132#19099153C2212yescomplemented
133#19099153C2214yescomplemented
134#19099152C2214yescomplemented
135#19099150C2212yescomplemented
136#19099150C2212yescomplemented
137#19099150C2212yescomplemented
138#19099149C2214yescomplemented
139#19099146C2214yescomplemented
140#19099146C2214yescomplemented
141#19099146C2214yescomplemented
142#19099146C2214yescomplemented
143#19099144C2211yescharacteristic, complemented
144#19099140C2212yescomplemented
145#19099138C2214yescomplemented
146#19099136C2214yescomplemented
147#19099132C2212yescomplemented
148#19099127C2212yescomplemented
149#19099124C2214yes—
150#19099124C2214yescomplemented
151#19099124C2214yescomplemented
152#19099121C2212yescomplemented
153#19099121C2212yescomplemented
154#19099121C2212yescomplemented
155#19099121C2214yescomplemented
156#19099100C2214yescomplemented
157#19099098C2214yescomplemented
158#19099096C2214yescomplemented
159#19099091C2214yescomplemented
160#19099076C2214yescomplemented
161#19099076C2212yescomplemented
162#19099076C2212yescomplemented
163#19099075C2212yescomplemented
164#19099074C2212yescomplemented
165#19099074C2212yescomplemented
166#19099074C2212yescomplemented
167#19099073C2212yescomplemented
168#19099073C2212yescomplemented
169#19099072C2214yescomplemented
170#19099072C2214yescomplemented
171#19099072C2214yescomplemented
172#19099071C2214yescomplemented
173#19099070C2212yescomplemented
174#19099069C2214yescomplemented
175#19099069C2214yescomplemented
176C2×#14579146C2214yescomplemented
177C2×#14579146C2214yescomplemented
178C2×#14579146C2214yescomplemented
179C2×#14579146C2212yescomplemented
180C2×#14579146C2212yescomplemented
181C2×#14579146C2214yescomplemented
182C2×#14579146C2212yescomplemented
183C2×#14579146C2212yescomplemented
184C2×#14579146C2214yescomplemented
185#123×D79C2214yescomplemented
186#123×D79C2214yescomplemented
187C22⋊Q8×D79C2212yescomplemented
188C22⋊Q8×D79C2212yescomplemented
189#121×D79C2212yescomplemented
190#121×D79C2212yescomplemented
191#120×D79C2214yescomplemented
192#120×D79C2214yescomplemented
193#19099044C2212yescomplemented
194#19099042C2214yescomplemented
195#19099037C2212yescomplemented
196#19099035C2214yescomplemented
197#19099035C2214yescomplemented
198#19099035C2214yescomplemented
199C4×D4×D79C2214yescomplemented
200C4×D4×D79C2214yescomplemented
201#117×D79C2212yescomplemented
202C22×Dic79⋊C4C2211yescharacteristic, complemented
203C22×(C2×D79)⋊C4C2211yescharacteristic, complemented
204C22×(C2×D79)⋊C4C2211yescharacteristic, complemented
205C22×(C2×D79)⋊C4C2211yescharacteristic, complemented
206#554×C79C2214yescomplemented
207#553×C79C2214yescomplemented
208#552×C79C2214yescomplemented
209#547×C79C2214yescomplemented
210#544×C79C2211yescharacteristic, complemented
211#539×C79C2212yescomplemented
212#539×C79C2212yescomplemented
213#537×C79C2211yescharacteristic, complemented
214#525×C79C2212yescomplemented
215#525×C79C2212yescomplemented
216#525×C79C2212yescomplemented
217#520×C79C2212yescomplemented
218C22×C4⋊C4×C79C2211yescharacteristic, complemented
219C24×D79C2311yescharacteristic
220C24×D79C2311yescharacteristic
221#14579207—48no—
222C2×#11929625C2314yes—
223C2×#11929625C2312yescomplemented
224C2×#11929624C2314yes—
225C2×#11929624C2312yes—
226C2×#11929624C2312yes—
227C2×#11929624C2312yes—
228C2×#11929624C2314yescomplemented
229C2×#11929623C2314yes—
230C2×#11929623C2314yes—
231C2×#11929623C2312yescomplemented
232#41×D79—48no—
233C2×Q8×D79C2312yescomplemented
234C22×D316—44no—
235C22×D316C2312yes—
236C22×D316C2314yes—
237C22×D316C2312yes—
238C22×D316C2314yes—
239C22×D316C2312yes—
240C22×D316C2312yes—
241C2×D4×D79C2314yes—
242C2×D4×D79C2314yes—
243C2×D4×D79C2314yes—
244C2×D4×D79C2314yes—
245C2×D4×D79C2314yes—
246C2×D4×D79C2314yes—
247C2×D4×D79C2314yes—
248C2×D4×D79C2312yescomplemented
249C23×Dic79C2311yescharacteristic
250C23×Dic79C2311yescharacteristic
251C22×C4×D79—44no—
252C22×C4×D79C2312yes—
253C22×C4×D79C2312yes—
254C22×C4×D79C2312yes—
255C22×C4×D79C2312yes—
256C22×C4×D79C2312yes—
257C22×C4×D79C2312yes—
258C22×C4×D79C2314yescomplemented
259#14579160C2314yescomplemented
260#14579160C2314yescomplemented
261#14579159C2314yescomplemented
262#14579158C2314yes—
263#14579157C2314yes—
264#14579156C2314yescomplemented
265#14579156C2314yescomplemented
266#14579156C2314yescomplemented
267#14579156C2314yescomplemented
268#14579156C2314yescomplemented
269#14579156C2314yescomplemented
270#14579156C2314yescomplemented
271#14579156C2314yescomplemented
272#14579156C2314yescomplemented
273#14579156C2314yescomplemented
274#14579156C2314yescomplemented
275#14579156C2314yescomplemented
276#14579155C2314yescomplemented
277#14579155C2314yescomplemented
278#14579155C2314yescomplemented
279#14579155C2314yescomplemented
280#14579154C2314yescomplemented
281#14579154C2314yescomplemented
282#14579153C2314yescomplemented
283#14579152C2314yescomplemented
284#14579152C2314yescomplemented
285#14579151C2314yescomplemented
286#14579151C2314yescomplemented
287#14579151C2314yescomplemented
288#14579151C2314yescomplemented
289#14579151C2314yescomplemented
290#14579151C2314yescomplemented
291#14579150C2314yes—
292#14579150C2314yescomplemented
293#14579150C2314yescomplemented
294#14579150C2314yescomplemented
295#14579149C2314yes—
296#14579149C2314yescomplemented
297#14579149C2314yescomplemented
298#14579149C2314yescomplemented
299#14579147C2314yescomplemented
300#14579147C2314yescomplemented
301#14579147C2314yescomplemented
302#14579147C2314yescomplemented
303#14579147C2314yescomplemented
304#14579147C2314yescomplemented
305#14579146C2314yes—
306#14579146C2314yes—
307#14579146C2314yes—
308#14579146C2314yes—
309#14579146C2314yes—
310#14579146C2314yes—
311#14579146C2314yes—
312#14579146C2314yes—
313#14579146C2314yes—
314#14579146C2314yes—
315#14579146C2314yes—
316#14579146C2314yes—
317#14579146C2314yes—
318#14579146C2314yes—
319#14579146C2314yes—
320#14579146C2314yes—
321#14579146C2314yes—
322#14579146C2314yes—
323#14579146C2314yes—
324#14579146C2314yes—
325#14579146C2314yescomplemented
326#14579146C2314yescomplemented
327#14579146C2314yescomplemented
328#14579146C2314yescomplemented
329#14579146C2314yescomplemented
330#14579146C2314yescomplemented
331#14579146C2314yescomplemented
332#14579146C2314yescomplemented
333#14579146C2314yescomplemented
334#14579146C2314yescomplemented
335#14579146C2314yescomplemented
336#14579146C2314yescomplemented
337#14579146C2314yescomplemented
338#14579146C2314yescomplemented
339#14579145C2314yes—
340#14579145C2314yes—
341#14579145C2314yescomplemented
342#14579145C2314yescomplemented
343#14579145C2314yescomplemented
344#14579144C2314yes—
345#14579144C2314yes—
346#14579144C2314yes—
347#14579144C2314yescomplemented
348#14579144C2314yescomplemented
349#14579144C2314yescomplemented
350#14579144C2314yescomplemented
351#14579143C2314yescomplemented
352#14579143C2314yescomplemented
353#14579143C2314yescomplemented
354#14579143C2314yescomplemented
355#14579143C2314yescomplemented
356#14579143C2314yescomplemented
357#14579142C2314yes—
358#14579142C2314yes—
359#14579142C2314yescomplemented
360#14579141C2314yescomplemented
361#14579141C2314yescomplemented
362#14579141C2314yescomplemented
363#14579141C2312yescomplemented
364#14579141C2314yescomplemented
365#14579141C2312yescomplemented
366#14579140C2312yes—
367#14579140C2312yes—
368#14579140C2312yes—
369#14579140C2312yes—
370#14579140C2312yes—
371#14579140C2312yes—
372#14579140C2314yescomplemented
373#14579139C2314yescomplemented
374#14579139C2314yescomplemented
375#14579139C2314yescomplemented
376#14579139C2314yescomplemented
377#14579139C2314yescomplemented
378#14579139C2314yescomplemented
379#14579139C2314yescomplemented
380#14579139C2314yescomplemented
381#14579139C2314yescomplemented
382#14579139C2314yescomplemented
383#14579139C2314yescomplemented
384#14579139C2314yescomplemented
385#14579138C2314yes—
386#14579138C2314yes—
387#14579138C2314yes—
388#14579138C2314yes—
389#14579138C2314yescomplemented
390#14579138C2314yescomplemented
391#14579137C2314yescomplemented
392#14579137C2314yescomplemented
393#14579137C2314yescomplemented
394#14579137C2312yescomplemented
395#14579137C2314yescomplemented
396#14579137C2312yescomplemented
397#14579136C2314yes—
398#14579136C2314yes—
399#14579136C2314yes—
400#14579136C2314yes—
401#14579136C2314yes—
402#14579136C2314yes—
403#14579136C2314yescomplemented
404#14579136C2314yescomplemented
405#14579136C2312yescomplemented
406#14579136C2314yescomplemented
407#14579136C2314yescomplemented
408#14579136C2312yescomplemented
409#14579135C2312yes—
410#14579135C2312yes—
411#14579135C2312yes—
412#14579135C2314yes—
413#14579135C2314yes—
414#14579135C2312yes—
415#14579135C2312yes—
416#14579135C2312yes—
417#14579135C2314yescomplemented
418#14579135C2314yescomplemented
419#14579135C2314yescomplemented
420#14579134C2314yes—
421#14579134C2314yes—
422#14579134C2314yes—
423#14579134C2314yes—
424#14579134C2314yescomplemented
425#14579134C2314yescomplemented
426#14579134C2314yescomplemented
427#14579134C2314yescomplemented
428#14579134C2314yescomplemented
429#14579134C2314yescomplemented
430#14579133C2314yes—
431#14579133C2314yes—
432#14579133C2314yes—
433#14579133C2314yes—
434#14579133C2314yescomplemented
435#14579133C2314yescomplemented
436#14579133C2314yescomplemented
437#14579133C2314yescomplemented
438#14579132C2312yescomplemented
439#14579132C2312yescomplemented
440#14579131C2314yes—
441#14579131C2314yes—
442#14579131C2314yes—
443#14579131C2314yes—
444#14579131C2314yes—
445#14579131C2314yes—
446#14579131C2314yes—
447#14579131C2314yes—
448#14579131C2314yes—
449#14579131C2314yes—
450#14579131C2314yescomplemented
451#14579131C2314yescomplemented
452#14579131C2314yescomplemented
453#14579130C2314yes—
454#14579129C2314yes—
455#14579129C2314yes—
456#14579129C2314yes—
457#14579129C2314yes—
458#14579129C2314yes—
459#14579129C2314yes—
460#14579129C2314yescomplemented
461#14579129C2314yescomplemented
462#14579129C2314yescomplemented
463C4×Dic158C2314yescomplemented
464#14579126C2314yescomplemented
465#14579126C2314yescomplemented
466C4×D316C2314yes—
467C4×D316C2314yes—
468C4×D316C2314yescomplemented
469C4×D316C2314yescomplemented
470C4×D316C2314yescomplemented
471C4×D316C2314yescomplemented
472C4×D316C2314yescomplemented
473D4×Dic79C2314yes—
474D4×Dic79C2314yes—
475D4×Dic79C2314yes—
476D4×Dic79C2314yes—
477#14579123C2314yes—
478#14579123C2314yes—
479#14579123C2314yescomplemented
480#14579123C2314yescomplemented
481#14579123C2314yescomplemented
482#14579123C2314yescomplemented
483#14579123C2314yescomplemented
484#14579123C2314yescomplemented
485C4×C22⋊D79C2314yes—
486C4×C22⋊D79C2314yes—
487C4×C22⋊D79C2314yes—
488C4×C22⋊D79C2314yes—
489C4×C22⋊D79C2314yes—
490C4×C22⋊D79C2314yes—
491C4×C22⋊D79C2314yescomplemented
492C4×C22⋊D79C2314yescomplemented
493C4×C22⋊D79C2314yescomplemented
494C4×C22⋊D79C2314yescomplemented
495C4×C22⋊D79C2314yescomplemented
496C4×C22⋊D79C2314yescomplemented
497(C22⋊D79)⋊C4C2314yes—
498(C22⋊D79)⋊C4C2314yes—
499(C22⋊D79)⋊C4C2314yes—
500(C22⋊D79)⋊C4C2314yes—
501(C22⋊D79)⋊C4C2314yescomplemented
502(C22⋊D79)⋊C4C2314yescomplemented
503(C22⋊D79)⋊C4C2314yescomplemented
504(C22⋊D79)⋊C4C2314yescomplemented
505(C22⋊D79)⋊C4C2314yescomplemented
506(C22⋊D79)⋊C4C2314yescomplemented
507#14579120C2312yes—
508#14579120C2312yes—
509#14579120C2312yes—
510#14579119C2314yescomplemented
511#14579119C2314yescomplemented
512#14579119C2314yescomplemented
513#14579119C2314yescomplemented
514#14579119C2312yescomplemented
515#14579119C2312yescomplemented
516#14579118C2314yescomplemented
517#14579118C2314yescomplemented
518#14579118C2314yescomplemented
519#14579118C2314yescomplemented
520#14579118C2314yescomplemented
521#14579117C2314yes—
522#14579117C2314yes—
523#14579117C2314yescomplemented
524C2×Dic79⋊C4C2312yes—
525C2×Dic79⋊C4C2312yes—
526C2×Dic79⋊C4C2314yes—
527C2×Dic79⋊C4C2312yes—
528C2×Dic79⋊C4C2312yes—
529C2×Dic79⋊C4C2314yescomplemented
530C4⋊C4×D79C2312yescomplemented
531C4⋊C4×D79C2312yescomplemented
532C4⋊C4×D79C2314yescomplemented
533C4⋊C4×D79C2314yescomplemented
534C4⋊C4×D79C2314yescomplemented
535C4⋊C4×D79C2314yescomplemented
536C2×(C2×D79)⋊C4C2312yes—
537C2×(C2×D79)⋊C4C2312yes—
538C2×(C2×D79)⋊C4C2312yes—
539C2×(C2×D79)⋊C4C2312yes—
540C2×(C2×D79)⋊C4C2312yes—
541C2×(C2×D79)⋊C4C2312yes—
542C2×(C2×D79)⋊C4C2312yes—
543C2×(C2×D79)⋊C4C2312yes—
544C2×(C2×D79)⋊C4C2314yes—
545C2×(C2×D79)⋊C4C2314yes—
546C2×(C2×D79)⋊C4C2314yes—
547C2×(C2×D79)⋊C4C2314yes—
548C2×(C2×D79)⋊C4C2312yes—
549C2×(C2×D79)⋊C4C2312yes—
550C2×(C2×D79)⋊C4C2314yescomplemented
551C2×(C2×D79)⋊C4C2314yescomplemented
552C2×(C2×D79)⋊C4C2314yescomplemented
553C22⋊C4×D79C2314yes—
554C22⋊C4×D79C2314yes—
555C22⋊C4×D79C2314yes—
556C22⋊C4×D79C2314yes—
557C22⋊C4×D79C2314yes—
558C22⋊C4×D79C2314yes—
559C22⋊C4×D79C2314yescomplemented
560C22⋊C4×D79C2314yescomplemented
561C22⋊C4×D79C2314yescomplemented
562C22⋊C4×D79C2314yescomplemented
563C22⋊C4×D79C2314yescomplemented
564C42×D79C2314yescomplemented
565C2×#41×C79C2312yes—
566C2×#41×C79C2312yes—
567C2×#41×C79C2312yes—
568C23×C4×C79C2311yescharacteristic
569C23×C4×C79C2311yescharacteristic
570C23×C4×C79C2311yescharacteristic
571C4⋊Q8×C79C2314yescomplemented
572#126×C79C2314yescomplemented
573#126×C79C2314yescomplemented
574#125×C79C2314yescomplemented
575#125×C79C2314yescomplemented
576#125×C79C2314yescomplemented
577#123×C79C2314yes—
578#123×C79C2314yes—
579#123×C79C2314yes—
580#123×C79C2314yescomplemented
581#123×C79C2314yescomplemented
582C22⋊Q8×C79C2312yes—
583C22⋊Q8×C79C2312yes—
584C22⋊Q8×C79C2312yes—
585C22⋊Q8×C79C2312yes—
586C22⋊Q8×C79C2312yes—
587C22⋊Q8×C79C2312yes—
588C22⋊Q8×C79C2314yescomplemented
589C22⋊Q8×C79C2314yescomplemented
590C22⋊Q8×C79C2314yescomplemented
591#121×C79C2312yes—
592#121×C79C2312yes—
593#121×C79C2312yes—
594#121×C79C2312yes—
595#121×C79C2312yes—
596#121×C79C2312yes—
597#121×C79C2314yescomplemented
598#120×C79C2314yes—
599C4×Q8×C79C2314yescomplemented
600C4×D4×C79C2314yes—
601C4×D4×C79C2314yes—
602C4×D4×C79C2314yes—
603C4×D4×C79C2314yes—
604C4×D4×C79C2314yes—
605C4×D4×C79C2314yes—
606C4×D4×C79C2314yescomplemented
607#117×C79C2312yes—
608#117×C79C2312yes—
609#117×C79C2312yes—
610#117×C79C2314yescomplemented
611C2×C4⋊C4×C79C2311yescharacteristic
612C2×C4⋊C4×C79C2311yescharacteristic
613C2×C4⋊C4×C79C2311yescharacteristic
614C2×C4⋊C4×C79C2314yes—
615C2×C4⋊C4×C79C2311yescharacteristic
616C2×C4⋊C4×C79C2314yes—
617C2×C4⋊C4×C79C2314yescomplemented
618C23×D79—24no—
619C23×D79—42no—
620C23×D79—42no—
621C23×D79—42no—
622C23×D79—42no—
623C23×D79—42no—
624C23×D79C2412yes—
625C23×D79C2412yes—
626C23×D79C2412yes—
627C23×D79C2412yes—
628C23×D79C2412yes—
629C23×D79C2411yescharacteristic
630C23×D79C2414yes—
631C23×D79C2414yes—
632C23×D79C2411yescharacteristic
633#11929625—44no—
634#11929625—48no—
635#11929624—44no—
636#11929624—44no—
637#11929624—44no—
638#11929624—48no—
639#11929624—48no—
640#11929623—44no—
641#11929623—48no—
642#11929623—48no—
643C2×Dic158C2414yes—
644C2×Dic158C2412yes—
645C2×Dic158C2414yes—
646C2×Dic158C2412yes—
647C2×Dic158C2412yes—
648Q8×D79—44no—
649C2×D316—28no—
650C2×D316—44no—
651C2×D316—48no—
652C2×D316—44no—
653C2×D316—48no—
654C2×D316—44no—
655C2×D316C2414yes—
656C2×D316C2414yes—
657C2×D316C2414yes—
658C2×D316C2412yes—
659C2×D316C2412yes—
660C2×D316C2412yes—
661C2×D316C2414yes—
662C2×D316C2414yes—
663C2×D316C2414yes—
664C2×D316C2414yes—
665C2×D316C2414yes—
666C2×D316C2414yes—
667C2×D316C2414yes—
668C2×C22⋊D79C2414yes—
669C2×C22⋊D79C2414yes—
670C2×C22⋊D79C2414yes—
671C2×C22⋊D79C2414yes—
672C2×C22⋊D79C2414yes—
673C2×C22⋊D79C2414yes—
674C2×C22⋊D79C2414yes—
675C2×C22⋊D79C2414yes—
676C2×C22⋊D79C2414yes—
677C2×C22⋊D79C2414yes—
678C2×C22⋊D79C2414yes—
679D4×D79—216no—
680D4×D79—48no—
681D4×D79—48no—
682D4×D79—48no—
683D4×D79—48no—
684D4×D79—48no—
685D4×D79—48no—
686D4×D79—44no—
687C22×Dic79—42no—
688C22×Dic79—42no—
689C22×Dic79C2412yes—
690C22×Dic79C2412yes—
691C22×Dic79C2414yes—
692C22×Dic79C2414yes—
693C22×Dic79C2412yes—
694C22×Dic79C2412yes—
695C22×Dic79C2411yescharacteristic
696C22×Dic79C2412yes—
697C22×Dic79C2411yescharacteristic
698C2×C4×D79—28no—
699C2×C4×D79—44no—
700C2×C4×D79—48no—
701C2×C4×D79—44no—
702C2×C4×D79—44no—
703C2×C4×D79—44no—
704C2×C4×D79—44no—
705C2×C4×D79C2414yes—
706C2×C4×D79C2412yes—
707C2×C4×D79C2412yes—
708C2×C4×D79C2412yes—
709C2×C4×D79C2412yes—
710C2×C4×D79C2414yes—
711C2×C4×D79C2414yes—
712C2×C4×D79C2414yes—
713C2×C4×D79C2414yes—
714C2×C4×D79C2414yes—
715C2×C4×D79C2414yes—
716C2×C4×D79C2414yes—
717C2×C4×D79C2414yes—
718C2×C4×D79C2414yes—
719C2×C4×D79C2414yes—
720C2×C4×D79C2412yes—
721C2×C4×D79C2412yes—
722C2×C4×D79C2412yes—
723C2×C4×D79C2412yes—
724C4⋊Dic79C2414yes—
725C4⋊Dic79C2412yes—
726C4⋊Dic79C2412yes—
727C4⋊Dic79C2412yes—
728C4⋊Dic79C2414yes—
729C4⋊Dic79C2412yes—
730C4⋊Dic79C2414yes—
731C4⋊Dic79C2414yes—
732C4⋊Dic79C2412yes—
733C4⋊Dic79C2412yes—
734Dic79⋊C4C2414yes—
735Dic79⋊C4C2414yes—
736Dic79⋊C4C2414yes—
737Dic79⋊C4C2414yes—
738Dic79⋊C4C2414yes—
739Dic79⋊C4C2414yes—
740Dic79⋊C4C2414yes—
741Dic79⋊C4C2414yes—
742Dic79⋊C4C2414yes—
743Dic79⋊C4C2414yes—
744Dic79⋊C4C2414yes—
745Dic79⋊C4C2414yes—
746Dic79⋊C4C2414yes—
747Dic79⋊C4C2414yes—
748Dic79⋊C4C2414yes—
749Dic79⋊C4C2414yes—
750Dic79⋊C4C2414yes—
751Dic79⋊C4C2414yes—
752C22⋊Dic79C2414yes—
753C22⋊Dic79C2414yes—
754C22⋊Dic79C2414yes—
755C22⋊Dic79C2414yes—
756C22⋊Dic79C2414yes—
757C22⋊Dic79C2414yes—
758C22⋊Dic79C2414yes—
759(C2×D79)⋊C4C2414yes—
760(C2×D79)⋊C4C2414yes—
761(C2×D79)⋊C4C2414yes—
762(C2×D79)⋊C4C2414yes—
763(C2×D79)⋊C4C2414yes—
764(C2×D79)⋊C4C2414yes—
765(C2×D79)⋊C4C2414yes—
766(C2×D79)⋊C4C2414yes—
767(C2×D79)⋊C4C2414yes—
768(C2×D79)⋊C4C2414yes—
769(C2×D79)⋊C4C2414yes—
770(C2×D79)⋊C4C2414yes—
771(C2×D79)⋊C4C2414yes—
772(C2×D79)⋊C4C2414yes—
773(C2×D79)⋊C4C2414yes—
774(C2×D79)⋊C4C2414yes—
775(C2×D79)⋊C4C2414yes—
776(C2×D79)⋊C4C2414yes—
777(C2×D79)⋊C4C2414yes—
778(C2×D79)⋊C4C2414yes—
779(C2×D79)⋊C4C2414yes—
780(C2×D79)⋊C4C2414yes—
781(C2×D79)⋊C4C2414yes—
782(C2×D79)⋊C4C2414yes—
783(C2×D79)⋊C4C2414yes—
784(C2×D79)⋊C4C2414yes—
785(C2×D79)⋊C4C2414yes—
786(C2×D79)⋊C4C2414yes—
787(C2×D79)⋊C4C2414yes—
788(C2×D79)⋊C4C2414yes—
789(C2×D79)⋊C4C2414yes—
790(C2×D79)⋊C4C2414yes—
791(C2×D79)⋊C4C2414yes—
792(C2×D79)⋊C4C2414yes—
793C4×Dic79C2414yes—
794C4×Dic79C2414yes—
795C4×Dic79C2414yes—
796C4×Dic79C2414yes—
797C4×Dic79C2414yes—
798C4×Dic79C2414yes—
799C4×Dic79C2414yes—
800C24×C79C2411yescharacteristic
801#41×C79—44no—
802#41×C79—44no—
803#41×C79—44no—
804C2×Q8×C79C2412yes—
805C2×Q8×C79C2412yes—
806C2×Q8×C79C2412yes—
807C2×D4×C79C2414yes—
808C2×D4×C79C2414yes—
809C2×D4×C79C2414yes—
810C2×D4×C79C2412yes—
811C2×D4×C79C2412yes—
812C2×D4×C79C2412yes—
813C22×C4×C79—42no—
814C22×C4×C79—42no—
815C22×C4×C79—42no—
816C22×C4×C79C2411yescharacteristic
817C22×C4×C79C2412yes—
818C22×C4×C79C2412yes—
819C22×C4×C79C2411yescharacteristic
820C22×C4×C79C2414yes—
821C22×C4×C79C2414yes—
822C22×C4×C79C2411yescharacteristic
823C22×C4×C79C2411yescharacteristic
824C22×C4×C79C2412yes—
825C22×C4×C79C2412yes—
826C22×C4×C79C2412yes—
827C22×C4×C79C2412yes—
828C22×C4×C79C2411yescharacteristic
829C22×C4×C79C2411yescharacteristic
830C22×C4×C79C2414yes—
831C4⋊C4×C79C2414yes—
832C4⋊C4×C79C2414yes—
833C4⋊C4×C79C2414yes—
834C4⋊C4×C79C2414yes—
835C4⋊C4×C79C2412yes—
836C4⋊C4×C79C2414yes—
837C4⋊C4×C79C2414yes—
838C4⋊C4×C79C2412yes—
839C4⋊C4×C79C2412yes—
840C4⋊C4×C79C2412yes—
841C4⋊C4×C79C2412yes—
842C4⋊C4×C79C2412yes—
843C4⋊C4×C79C2414yes—
844C4⋊C4×C79C2414yes—
845C4⋊C4×C79C2414yes—
846C4⋊C4×C79C2414yes—
847C22⋊C4×C79C2414yes—
848C22⋊C4×C79C2414yes—
849C22⋊C4×C79C2414yes—
850C22⋊C4×C79C2414yes—
851C22⋊C4×C79C2414yes—
852C22⋊C4×C79C2414yes—
853C22⋊C4×C79C2414yes—
854C22⋊C4×C79C2414yes—
855C22⋊C4×C79C2414yes—
856C42×C79C2414yes—
857C42×C79C2414yes—
858C42×C79C2414yes—
859C23×C79—22no—
860C23×C79—22no—
861C23×C79—22no—
862C23×C79C2514yes—
863C23×C79C2511yescharacteristic
864C23×C79C2511yescharacteristic
865C23×C79C2511yescharacteristic
866C22×D79—22no—
867C22×D79—24no—
868C22×D79—24no—
869C22×D79—24no—
870C22×D79—24no—
871C22×D79—24no—
872C22×D79—24no—
873C22×D79—24no—
874C22×D79—28no—
875C22×D79—41no—
876C22×D79—41no—
877C22×D79—42no—
878C22×D79—42no—
879C22×D79—41no—
880C22×D79—41no—
881C22×D79—44no—
882C22×D79—44no—
883C22×D79—42no—
884C22×D79—42no—
885C22×D79—42no—
886C22×D79—42no—
887C22×D79—42no—
888C22×D79—42no—
889C22×D79—44no—
890C22×D79—44no—
891C22×D79—44no—
892C22×D79—416no—
893C22×D79—88no—
894C22×D79H(5,𝔽2)14yes—
895C22×D79C2514yes—
896C22×D79C2512yes—
897C22×D79C2514yes—
898C22×D79C2512yes—
899Q8×C79—42no—
900Q8×C79—42no—
901Q8×C79—42no—
902D4×C79—28no—
903D4×C79—28no—
904D4×C79—28no—
905D4×C79—42no—
906D4×C79—42no—
907D4×C79—42no—
908C2×C4×C79—24no—
909C2×C4×C79—24no—
910C2×C4×C79—22no—
911C2×C4×C79—22no—
912C2×C4×C79—41no—
913C2×C4×C79—42no—
914C2×C4×C79—41no—
915C2×C4×C79—44no—
916C2×C4×C79—41no—
917C2×C4×C79—42no—
918C2×C4×C79—41no—
919C2×C4×C79—44no—
920C2×C4×C79—42no—
921C2×C4×C79—42no—
922C2×C4×C79—44no—
923C2×C4×C79C2512yes—
924C2×C4×C79C2514yes—
925C2×C4×C79C2512yes—
926C2×C4×C79C2512yes—
927C2×C4×C79C2514yes—
928C2×C4×C79C2514yes—
929C2×C4×C79C2512yes—
930C2×C4×C79C2512yes—
931C2×C4×C79C2512yes—
932C22⋊D79—28no—
933C22⋊D79—28no—
934C22⋊D79—28no—
935C22⋊D79—28no—
936C22⋊D79—44no—
937C22⋊D79—44no—
938C22⋊D79—44no—
939C22⋊D79—44no—
940C22⋊D79—44no—
941C22⋊D79—44no—
942C22⋊D79—44no—
943C2×Dic79—24no—
944C2×Dic79—24no—
945C2×Dic79—41no—
946C2×Dic79—42no—
947C2×Dic79—41no—
948C2×Dic79—44no—
949C2×Dic79—42no—
950C2×Dic79—42no—
951C2×Dic79—44no—
952C2×Dic79C2514yes—
953C2×Dic79C2514yes—
954C2×Dic79C2512yes—
955C2×Dic79C2514yes—
956C2×Dic79C2514yes—
957C2×Dic79C2512yes—
958D316—28no—
959D316—28no—
960D316—28no—
961D316—44no—
962D316—44no—
963D316—44no—
964D316—44no—
965D316—44no—
966D316—42no—
967D316—44no—
968D316—44no—
969D316—42no—
970D316—42no—
971C4×D79—24no—
972C4×D79—24no—
973C4×D79—24no—
974C4×D79—24no—
975C4×D79—28no—
976C4×D79—42no—
977C4×D79—42no—
978C4×D79—42no—
979C4×D79—42no—
980C4×D79—44no—
981C4×D79—44no—
982C4×D79—44no—
983C4×D79—44no—
984C4×D79—44no—
985C4×D79—44no—
986C4×D79—44no—
987C4×D79—44no—
988C4×D79—44no—
989C4×D79—44no—
990Dic158—42no—
991Dic158—44no—
992Dic158—44no—
993Dic158—42no—
994Dic158—42no—
995C22×C79—28no—
996C22×C79—21no—
997C22×C79—21no—
998C22×C79—21no—
999C22×C79—21no—
1000C22×C79—21no—
1001C22×C79—21no—
1002C22×C79—24no—
1003C22×C79—24no—
1004C22×C79—24no—
1005C22×C79C2×H(5,𝔽2)12yes—
1006C22×C79#58512yes—
1007C22×C79#58512yes—
1008C22×C79C2611yescharacteristic
1009C2×D79—22no—
1010C2×D79—22no—
1011C2×D79—24no—
1012C2×D79—24no—
1013C2×D79—22no—
1014C2×D79—24no—
1015C2×D79—24no—
1016C2×D79—22no—
1017C2×D79—22no—
1018C2×D79—24no—
1019C2×D79—24no—
1020C2×D79—44no—
1021C2×D79—48no—
1022C2×D79—48no—
1023C2×D79—44no—
1024C2×D79—88no—
1025C2×D79—84no—
1026C2×D79—84no—
1027C2×D79—84no—
1028C2×D79—164no—
1029C2×D79C2×H(5,𝔽2)14yes—
1030C4×C79—22no—
1031C4×C79—22no—
1032C4×C79—22no—
1033C4×C79—22no—
1034C4×C79—24no—
1035C4×C79—22no—
1036C4×C79—22no—
1037C4×C79—24no—
1038C4×C79—24no—
1039Dic79—24no—
1040Dic79—22no—
1041Dic79—22no—
1042Dic79—24no—
1043Dic79—24no—
1044Dic79—24no—
1045#62820—791nomaximal, Sylow
1046C2×C79—22no—
1047C2×C79—22no—
1048C2×C79—22no—
1049C2×C79—44no—
1050C2×C79C22×H(5,𝔽2)11yescharacteristic
1051C2×C79C2×#58511yescharacteristic
1052C2×C79C2×#58511yescharacteristic
1053D79—24no—
1054D79—42no—
1055D79—44no—
1056D79—44no—
1057#3535—794no—
1058#3535—792no—
1059#3535—792no—
1060#3534—794no—
1061#3534—792no—
1062#3534—792no—
1063#3533—794no—
1064#3533—794no—
1065#3513—794no—
1066#3513—794no—
1067#3513—794no—
1068#3513—794no—
1069#3492—792no—
1070#3492—791no—
1071#3492D7911yescharacteristic, complemented
1072#3491—794no—
1073#3490—792no—
1074#3490—792no—
1075#3490—792no—
1076#3485—794no—
1077#3484—792no—
1078C2×#525—792no—
1079C22×#123—791no—
1080C79#6282011yescharacteristic, complemented, Sylow
1081C2×H(5,𝔽2)—792no—
1082C22×#41—792no—
1083C23×D4—791no—
1084C24×C4—791no—
1085#563—794no—
1086#563—794no—
1087#562—794no—
1088#562—794no—
1089#562—794no—
1090#562—794no—
1091#560—794no—
1092#560—794no—
1093#559—794no—
1094#559—794no—
1095#554—794no—
1096#554—794no—
1097#554—794no—
1098#554C2×D7914yescomplemented
1099#553—794no—
1100#553—794no—
1101#553—794no—
1102#553—794no—
1103#553—794no—
1104#553—794no—
1105#553—794no—
1106#553C2×D7914yescomplemented
1107#552—794no—
1108#552—794no—
1109#552—794no—
1110#552—794no—
1111#552—794no—
1112#552—794no—
1113#552—794no—
1114#552C2×D7914yescomplemented
1115#551—794no—
1116#551—794no—
1117#551—794no—
1118#551—794no—
1119#551—794no—
1120#551—794no—
1121#551—794no—
1122#551—794no—
1123#551—794no—
1124#551—794no—
1125#551—794no—
1126#551—794no—
1127#551—794no—
1128#551—794no—
1129#551—794no—
1130#551—794no—
1131#551—794no—
1132#551—794no—
1133#547—794no—
1134#547—794no—
1135#547—794no—
1136#547—794no—
1137#547—794no—
1138#547—794no—
1139#547—794no—
1140#547C2×D7914yescomplemented
1141#546—794no—
1142#546—794no—
1143#546—794no—
1144#546—794no—
1145#546—794no—
1146#546—794no—
1147#546—794no—
1148#546—794no—
1149#546—794no—
1150#546—794no—
1151#546—794no—
1152#546—794no—
1153#546—794no—
1154#546—794no—
1155#546—794no—
1156#546—794no—
1157#546—794no—
1158#546—794no—
1159#546—794no—
1160#546—794no—
1161D42—794no—
1162D42—794no—
1163D42—794no—
1164D42—794no—
1165#544—792no—
1166#544—791no—
1167#544C2×D7911yescharacteristic, complemented
1168#543—792no—
1169#543—792no—
1170#543—792no—
1171#542—794no—
1172#542—794no—
1173#542—794no—
1174#542—794no—
1175#540—794no—
1176#540—794no—
1177#540—794no—
1178#540—794no—
1179#539—794no—
1180#539—794no—
1181#539—794no—
1182#539—794no—
1183#539—794no—
1184#539—792no—
1185#539—794no—
1186#539—794no—
1187#539—792no—
1188#539—794no—
1189#539—792no—
1190#539—792no—
1191#539—794no—
1192#539C2×D7912yescomplemented
1193#539C2×D7912yescomplemented
1194#538—794no—
1195#538—794no—
1196#538—792no—
1197#538—792no—
1198#538—792no—
1199#538—794no—
1200#538—792no—
1201#538—792no—
1202#538—792no—
1203#538—794no—
1204#538—794no—
1205#538—794no—
1206#538—794no—
1207#537—792no—
1208#537—791no—
1209#537C2×D7911yescharacteristic, complemented
1210#536—794no—
1211#536—794no—
1212#535—792no—
1213#535—792no—
1214#534—794no—
1215#534—794no—
1216#534—794no—
1217#534—792no—
1218#534—792no—
1219#534—792no—
1220#534—794no—
1221#529—794no—
1222#529—794no—
1223#529—794no—
1224#529—794no—
1225#525—792no—
1226#525—792no—
1227#525—792no—
1228#525—792no—
1229#525—794no—
1230#525—792no—
1231#525—792no—
1232#525—794no—
1233#525—792no—
1234#525—792no—
1235#525—794no—
1236#525—794no—
1237#525—794no—
1238#525—794no—
1239#525—794no—
1240#525—792no—
1241#525C2×D7912yescomplemented
1242#525C2×D7912yescomplemented
1243#525C2×D7912yescomplemented
1244C2×#123—794no—
1245C2×#123—794no—
1246C2×#123—794no—
1247C2×#123—794no—
1248C2×#123—792no—
1249C2×#123—792no—
1250C2×#123—794no—
1251C2×#123—794no—
1252C2×#123—792no—
1253C2×#123—792no—
1254C2×#123—794no—
1255C2×C22⋊Q8—792no—
1256C2×C22⋊Q8—792no—
1257C2×#121—792no—
1258C2×#121—792no—
1259C2×#120—794no—
1260C2×#120—794no—
1261#520—794no—
1262#520—792no—
1263#520C2×D7912yescomplemented
1264#518—794no—
1265#518—794no—
1266#518—794no—
1267#518—792no—
1268C2×C4×D4—794no—
1269C2×C4×D4—794no—
1270C2×#117—792no—
1271C22×C4⋊C4—791no—
1272C22×C4⋊C4C2×D7911yescharacteristic, complemented
1273C22×C22⋊C4—791no—
1274C22×C22⋊C4—791no—
1275C22×C22⋊C4—791no—
1276C25—791no—
1277C25—791no—
1278H(5,𝔽2)—3168no—
1279C2×#41—3168no—
1280C2×#41—794no—
1281C2×#41—792no—
1282C2×#41—794no—
1283C2×#41—794no—
1284C2×#41—792no—
1285C2×#41—792no—
1286C2×#41—792no—
1287C2×#41—792no—
1288C2×#41—794no—
1289C2×#41—794no—
1290C2×#41C22×D7912yes—
1291C2×#41C22×D7912yes—
1292C2×#41C22×D7912yes—
1293C22×Q8—792no—
1294C22×D4—3164no—
1295C22×D4—794no—
1296C22×D4—794no—
1297C22×D4—794no—
1298C22×D4—794no—
1299C22×D4—794no—
1300C22×D4—792no—
1301C22×D4—794no—
1302C22×D4—794no—
1303C22×D4—792no—
1304C22×D4—792no—
1305C22×D4—794no—
1306C22×D4—792no—
1307C22×D4—794no—
1308C22×D4—792no—
1309C23×C4—3164no—
1310C23×C4—791no—
1311C23×C4—791no—
1312C23×C4—792no—
1313C23×C4—792no—
1314C23×C4—794no—
1315C23×C4—792no—
1316C23×C4—792no—
1317C23×C4—792no—
1318C23×C4—792no—
1319C23×C4C22×D7911yescharacteristic
1320C23×C4C22×D7911yescharacteristic
1321C23×C4C22×D7911yescharacteristic
1322C4⋊Q8—794no—
1323C4⋊Q8—794no—
1324C4⋊Q8—794no—
1325C4⋊Q8C22×D7914yescomplemented
1326#127—794no—
1327#127—794no—
1328#126—794no—
1329#126—794no—
1330#126—794no—
1331#126—794no—
1332#126—794no—
1333#126—794no—
1334#126—794no—
1335#126—794no—
1336#126—794no—
1337#126—794no—
1338#126—794no—
1339#126—794no—
1340#126—794no—
1341#126—794no—
1342#126—794no—
1343#126—794no—
1344#126—794no—
1345#126—794no—
1346#126C22×D7914yescomplemented
1347#126C22×D7914yescomplemented
1348#125—794no—
1349#125—794no—
1350#125—794no—
1351#125—794no—
1352#125—794no—
1353#125—794no—
1354#125—794no—
1355#125—794no—
1356#125—794no—
1357#125C22×D7914yescomplemented
1358#125C22×D7914yescomplemented
1359#125C22×D7914yescomplemented
1360#124—794no—
1361#124—794no—
1362#124—794no—
1363#124—794no—
1364#124—794no—
1365#124—794no—
1366#124—794no—
1367#124—794no—
1368#124—794no—
1369#124—794no—
1370#124—794no—
1371#124—794no—
1372#124—794no—
1373#124—794no—
1374#123—794no—
1375#123—794no—
1376#123—794no—
1377#123—794no—
1378#123—794no—
1379#123—794no—
1380#123—794no—
1381#123—794no—
1382#123—794no—
1383#123—794no—
1384#123—794no—
1385#123—794no—
1386#123—794no—
1387#123—794no—
1388#123—794no—
1389#123—794no—
1390#123—794no—
1391#123—794no—
1392#123—794no—
1393#123—794no—
1394#123—794no—
1395#123—794no—
1396#123—794no—
1397#123—794no—
1398#123—794no—
1399#123—794no—
1400#123—794no—
1401#123—794no—
1402#123—794no—
1403#123—794no—
1404#123—794no—
1405#123—794no—
1406#123—794no—
1407#123—794no—
1408#123—794no—
1409#123—794no—
1410#123—794no—
1411#123—794no—
1412#123—794no—
1413#123—794no—
1414#123—794no—
1415#123—794no—
1416#123—794no—
1417#123—794no—
1418#123—794no—
1419#123—794no—
1420#123—794no—
1421#123—794no—
1422#123—794no—
1423#123—794no—
1424#123—794no—
1425#123—794no—
1426#123—794no—
1427#123—794no—
1428#123—794no—
1429#123C22×D7914yes—
1430#123C22×D7914yes—
1431#123C22×D7914yes—
1432#123C22×D7914yescomplemented
1433#123C22×D7914yescomplemented
1434C22⋊Q8—792no—
1435C22⋊Q8—792no—
1436C22⋊Q8—794no—
1437C22⋊Q8—794no—
1438C22⋊Q8—794no—
1439C22⋊Q8—794no—
1440C22⋊Q8—792no—
1441C22⋊Q8—792no—
1442C22⋊Q8—792no—
1443C22⋊Q8—792no—
1444C22⋊Q8—792no—
1445C22⋊Q8—792no—
1446C22⋊Q8—794no—
1447C22⋊Q8—794no—
1448C22⋊Q8—792no—
1449C22⋊Q8—794no—
1450C22⋊Q8—792no—
1451C22⋊Q8—794no—
1452C22⋊Q8—794no—
1453C22⋊Q8—794no—
1454C22⋊Q8—794no—
1455C22⋊Q8—794no—
1456C22⋊Q8—794no—
1457C22⋊Q8—794no—
1458C22⋊Q8—794no—
1459C22⋊Q8—794no—
1460C22⋊Q8—794no—
1461C22⋊Q8—794no—
1462C22⋊Q8—794no—
1463C22⋊Q8—794no—
1464C22⋊Q8—794no—
1465C22⋊Q8—794no—
1466C22⋊Q8—794no—
1467C22⋊Q8—794no—
1468C22⋊Q8—794no—
1469C22⋊Q8—794no—
1470C22⋊Q8—794no—
1471C22⋊Q8C22×D7912yes—
1472C22⋊Q8C22×D7912yes—
1473C22⋊Q8C22×D7912yes—
1474C22⋊Q8C22×D7912yes—
1475C22⋊Q8C22×D7912yes—
1476C22⋊Q8C22×D7912yes—
1477C22⋊Q8C22×D7914yescomplemented
1478C22⋊Q8C22×D7914yescomplemented
1479C22⋊Q8C22×D7914yescomplemented
1480#121—794no—
1481#121—792no—
1482#121—794no—
1483#121—792no—
1484#121—794no—
1485#121—794no—
1486#121—794no—
1487#121—794no—
1488#121—794no—
1489#121—794no—
1490#121—792no—
1491#121—792no—
1492#121—792no—
1493#121—792no—
1494#121—792no—
1495#121—792no—
1496#121—794no—
1497#121—794no—
1498#121—794no—
1499#121—794no—
1500#121—794no—
1501#121—792no—
1502#121—792no—
1503#121—794no—
1504#121—794no—
1505#121—794no—
1506#121—794no—
1507#121—794no—
1508#121—794no—
1509#121—794no—
1510#121—794no—
1511#121—794no—
1512#121—794no—
1513#121—794no—
1514#121—794no—
1515#121—794no—
1516#121—794no—
1517#121—794no—
1518#121—794no—
1519#121—794no—
1520#121—794no—
1521#121—794no—
1522#121—794no—
1523#121C22×D7912yes—
1524#121C22×D7912yes—
1525#121C22×D7912yes—
1526#121C22×D7912yes—
1527#121C22×D7912yes—
1528#121C22×D7912yes—
1529#121C22×D7914yescomplemented
1530#120—794no—
1531#120—794no—
1532#120—794no—
1533#120—794no—
1534#120—794no—
1535#120—794no—
1536#120—794no—
1537#120—794no—
1538#120—794no—
1539#120—794no—
1540#120—794no—
1541#120—794no—
1542#120—794no—
1543#120—794no—
1544#120—794no—
1545#120—794no—
1546#120—794no—
1547#120—794no—
1548#120—794no—
1549#120—794no—
1550#120—794no—
1551#120—794no—
1552#120—794no—
1553#120C22×D7914yes—
1554C4×Q8—794no—
1555C4×Q8—794no—
1556C4×Q8—794no—
1557C4×Q8C22×D7914yescomplemented
1558C4×D4—794no—
1559C4×D4—794no—
1560C4×D4—794no—
1561C4×D4—794no—
1562C4×D4—794no—
1563C4×D4—794no—
1564C4×D4—794no—
1565C4×D4—794no—
1566C4×D4—794no—
1567C4×D4—794no—
1568C4×D4—794no—
1569C4×D4—794no—
1570C4×D4—794no—
1571C4×D4—794no—
1572C4×D4—794no—
1573C4×D4—794no—
1574C4×D4—794no—
1575C4×D4—794no—
1576C4×D4—794no—
1577C4×D4—794no—
1578C4×D4—794no—
1579C4×D4—794no—
1580C4×D4—794no—
1581C4×D4—794no—
1582C4×D4—794no—
1583C4×D4—794no—
1584C4×D4—794no—
1585C4×D4—794no—
1586C4×D4—794no—
1587C4×D4—794no—
1588C4×D4—794no—
1589C4×D4—794no—
1590C4×D4—794no—
1591C4×D4—794no—
1592C4×D4—794no—
1593C4×D4—794no—
1594C4×D4—794no—
1595C4×D4—794no—
1596C4×D4—794no—
1597C4×D4—794no—
1598C4×D4—794no—
1599C4×D4C22×D7914yes—
1600C4×D4C22×D7914yes—
1601C4×D4C22×D7914yes—
1602C4×D4C22×D7914yes—
1603C4×D4C22×D7914yes—
1604C4×D4C22×D7914yes—
1605C4×D4C22×D7914yescomplemented
1606#117—792no—
1607#117—792no—
1608#117—792no—
1609#117—792no—
1610#117—792no—
1611#117—794no—
1612#117—794no—
1613#117—794no—
1614#117—794no—
1615#117—794no—
1616#117—794no—
1617#117—794no—
1618#117—794no—
1619#117—794no—
1620#117—794no—
1621#117—794no—
1622#117—794no—
1623#117C22×D7912yes—
1624#117C22×D7912yes—
1625#117C22×D7912yes—
1626#117C22×D7914yescomplemented
1627C2×C4⋊C4—792no—
1628C2×C4⋊C4—792no—
1629C2×C4⋊C4—794no—
1630C2×C4⋊C4—792no—
1631C2×C4⋊C4—792no—
1632C2×C4⋊C4—794no—
1633C2×C4⋊C4—792no—
1634C2×C4⋊C4—792no—
1635C2×C4⋊C4—794no—
1636C2×C4⋊C4—794no—
1637C2×C4⋊C4—794no—
1638C2×C4⋊C4—794no—
1639C2×C4⋊C4C22×D7911yescharacteristic
1640C2×C4⋊C4C22×D7911yescharacteristic
1641C2×C4⋊C4C22×D7911yescharacteristic
1642C2×C4⋊C4C22×D7911yescharacteristic
1643C2×C4⋊C4C22×D7914yes—
1644C2×C4⋊C4C22×D7914yes—
1645C2×C4⋊C4C22×D7914yescomplemented
1646C2×C22⋊C4—792no—
1647C2×C22⋊C4—792no—
1648C2×C22⋊C4—792no—
1649C2×C22⋊C4—792no—
1650C2×C22⋊C4—792no—
1651C2×C22⋊C4—792no—
1652C2×C22⋊C4—792no—
1653C2×C22⋊C4—792no—
1654C2×C22⋊C4—794no—
1655C2×C22⋊C4—794no—
1656C2×C22⋊C4—792no—
1657C2×C22⋊C4—792no—
1658C2×C22⋊C4—794no—
1659C2×C22⋊C4—794no—
1660C2×C22⋊C4—794no—
1661C2×C22⋊C4—794no—
1662C2×C22⋊C4—794no—
1663C2×C22⋊C4—794no—
1664C2×C22⋊C4—794no—
1665C2×C22⋊C4—794no—
1666C2×C22⋊C4—794no—
1667C2×C22⋊C4—794no—
1668C2×C22⋊C4—794no—
1669C2×C22⋊C4—794no—
1670C2×C22⋊C4—794no—
1671C2×C22⋊C4—794no—
1672C2×C22⋊C4—794no—
1673C2×C22⋊C4—794no—
1674C2×C42—794no—
1675C24—3162no—
1676C24—3162no—
1677C24—3162no—
1678C24—3162no—
1679C24—3162no—
1680C24—794no—
1681C24—791no—
1682C24—792no—
1683C24—792no—
1684C24—792no—
1685C24—794no—
1686C24—791no—
1687C24—792no—
1688C24—792no—
1689C24—1584no—
1690C24C23×D7911yescharacteristic
1691#41—44no—
1692#41—44no—
1693#41—44no—
1694#41—3164no—
1695#41—3164no—
1696#41—3164no—
1697#41—3168no—
1698#41—3168no—
1699#41—3168no—
1700#41—3168no—
1701#41—3164no—
1702#41—3164no—
1703#41—3168no—
1704C2×Q8—3164no—
1705C2×Q8—792no—
1706C2×Q8—794no—
1707C2×Q8—792no—
1708C2×Q8—794no—
1709C2×Q8—792no—
1710C2×Q8C23×D7912yes—
1711C2×Q8C23×D7912yes—
1712C2×Q8C23×D7912yes—
1713C2×D4—3164no—
1714C2×D4—3164no—
1715C2×D4—3168no—
1716C2×D4—3164no—
1717C2×D4—3168no—
1718C2×D4—3168no—
1719C2×D4—3168no—
1720C2×D4—3168no—
1721C2×D4—3168no—
1722C2×D4—3168no—
1723C2×D4—3168no—
1724C2×D4—3164no—
1725C2×D4—794no—
1726C2×D4—794no—
1727C2×D4—794no—
1728C2×D4—794no—
1729C2×D4—794no—
1730C2×D4—794no—
1731C2×D4—794no—
1732C2×D4—794no—
1733C2×D4—794no—
1734C2×D4—794no—
1735C2×D4—794no—
1736C2×D4—792no—
1737C2×D4—794no—
1738C2×D4—794no—
1739C2×D4—794no—
1740C2×D4—794no—
1741C2×D4—792no—
1742C2×D4—794no—
1743C2×D4—794no—
1744C2×D4—794no—
1745C2×D4—792no—
1746C2×D4—794no—
1747C2×D4—794no—
1748C2×D4—794no—
1749C2×D4—1588no—
1750C2×D4—15816no—
1751C2×D4C23×D7914yes—
1752C2×D4C23×D7914yes—
1753C2×D4C23×D7914yes—
1754C2×D4C23×D7912yes—
1755C2×D4C23×D7912yes—
1756C2×D4C23×D7912yes—
1757C22×C4—42no—
1758C22×C4—42no—
1759C22×C4—42no—
1760C22×C4—3164no—
1761C22×C4—3164no—
1762C22×C4—3164no—
1763C22×C4—3164no—
1764C22×C4—3164no—
1765C22×C4—3168no—
1766C22×C4—3162no—
1767C22×C4—3162no—
1768C22×C4—792no—
1769C22×C4—792no—
1770C22×C4—791no—
1771C22×C4—792no—
1772C22×C4—791no—
1773C22×C4—794no—
1774C22×C4—794no—
1775C22×C4—794no—
1776C22×C4—794no—
1777C22×C4—794no—
1778C22×C4—794no—
1779C22×C4—794no—
1780C22×C4—794no—
1781C22×C4—794no—
1782C22×C4—794no—
1783C22×C4—794no—
1784C22×C4—794no—
1785C22×C4—792no—
1786C22×C4—792no—
1787C22×C4—792no—
1788C22×C4—792no—
1789C22×C4—792no—
1790C22×C4—792no—
1791C22×C4—792no—
1792C22×C4—792no—
1793C22×C4—792no—
1794C22×C4—794no—
1795C22×C4—792no—
1796C22×C4—1588no—
1797C22×C4C23×D7911yescharacteristic
1798C22×C4C23×D7911yescharacteristic
1799C22×C4C23×D7912yes—
1800C22×C4C23×D7912yes—
1801C22×C4C23×D7912yes—
1802C22×C4C23×D7912yes—
1803C22×C4C23×D7911yescharacteristic
1804C22×C4C23×D7912yes—
1805C22×C4C23×D7911yescharacteristic
1806C22×C4C23×D7914yes—
1807C22×C4C23×D7914yes—
1808C22×C4C23×D7911yescharacteristic
1809C22×C4C23×D7912yes—
1810C22×C4C23×D7911yescharacteristic
1811C22×C4C23×D7914yes—
1812C4⋊C4—794no—
1813C4⋊C4—794no—
1814C4⋊C4—794no—
1815C4⋊C4—794no—
1816C4⋊C4—794no—
1817C4⋊C4—794no—
1818C4⋊C4—794no—
1819C4⋊C4—794no—
1820C4⋊C4—794no—
1821C4⋊C4—794no—
1822C4⋊C4—794no—
1823C4⋊C4—794no—
1824C4⋊C4—794no—
1825C4⋊C4—794no—
1826C4⋊C4—794no—
1827C4⋊C4—794no—
1828C4⋊C4—794no—
1829C4⋊C4—794no—
1830C4⋊C4—794no—
1831C4⋊C4—792no—
1832C4⋊C4—792no—
1833C4⋊C4—792no—
1834C4⋊C4—794no—
1835C4⋊C4—792no—
1836C4⋊C4—792no—
1837C4⋊C4—792no—
1838C4⋊C4—794no—
1839C4⋊C4—794no—
1840C4⋊C4C23×D7914yes—
1841C4⋊C4C23×D7914yes—
1842C4⋊C4C23×D7912yes—
1843C4⋊C4C23×D7912yes—
1844C4⋊C4C23×D7914yes—
1845C4⋊C4C23×D7914yes—
1846C4⋊C4C23×D7914yes—
1847C4⋊C4C23×D7914yes—
1848C4⋊C4C23×D7914yes—
1849C4⋊C4C23×D7912yes—
1850C4⋊C4C23×D7914yes—
1851C4⋊C4C23×D7914yes—
1852C4⋊C4C23×D7914yes—
1853C4⋊C4C23×D7912yes—
1854C4⋊C4C23×D7912yes—
1855C4⋊C4C23×D7912yes—
1856C22⋊C4—794no—
1857C22⋊C4—794no—
1858C22⋊C4—794no—
1859C22⋊C4—794no—
1860C22⋊C4—794no—
1861C22⋊C4—794no—
1862C22⋊C4—794no—
1863C22⋊C4—794no—
1864C22⋊C4—794no—
1865C22⋊C4—794no—
1866C22⋊C4—794no—
1867C22⋊C4—794no—
1868C22⋊C4—794no—
1869C22⋊C4—794no—
1870C22⋊C4—794no—
1871C22⋊C4—794no—
1872C22⋊C4—794no—
1873C22⋊C4—794no—
1874C22⋊C4—794no—
1875C22⋊C4—794no—
1876C22⋊C4—794no—
1877C22⋊C4—794no—
1878C22⋊C4—794no—
1879C22⋊C4—794no—
1880C22⋊C4—794no—
1881C22⋊C4—794no—
1882C22⋊C4—794no—
1883C22⋊C4—794no—
1884C22⋊C4—794no—
1885C22⋊C4—794no—
1886C22⋊C4—794no—
1887C22⋊C4—794no—
1888C22⋊C4—794no—
1889C22⋊C4—794no—
1890C22⋊C4—794no—
1891C22⋊C4—794no—
1892C22⋊C4—794no—
1893C22⋊C4—794no—
1894C22⋊C4—794no—
1895C22⋊C4—794no—
1896C22⋊C4—794no—
1897C22⋊C4C23×D7914yes—
1898C22⋊C4C23×D7914yes—
1899C22⋊C4C23×D7914yes—
1900C22⋊C4C23×D7914yes—
1901C22⋊C4C23×D7914yes—
1902C22⋊C4C23×D7914yes—
1903C22⋊C4C23×D7914yes—
1904C22⋊C4C23×D7914yes—
1905C22⋊C4C23×D7914yes—
1906C42—794no—
1907C42—794no—
1908C42—794no—
1909C42—794no—
1910C42—794no—
1911C42—794no—
1912C42—794no—
1913C42C23×D7914yes—
1914C42C23×D7914yes—
1915C42C23×D7914yes—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—31616no—
1920C23—3161no—
1921C23—3162no—
1922C23—3161no—
1923C23—3161no—
1924C23—3162no—
1925C23—3161no—
1926C23—3162no—
1927C23—3162no—
1928C23—3164no—
1929C23—3164no—
1930C23—3162no—
1931C23—3162no—
1932C23—3162no—
1933C23—3162no—
1934C23—3164no—
1935C23—3164no—
1936C23—3164no—
1937C23—794no—
1938C23—792no—
1939C23—794no—
1940C23—792no—
1941C23—794no—
1942C23—6328no—
1943C23—1584no—
1944C23—1584no—
1945C23—1588no—
1946C23—1582no—
1947C23—1584no—
1948C23—1584no—
1949C23—1584no—
1950C23—1584no—
1951C23—1584no—
1952C23C24×D7914yes—
1953C23C24×D7911yescharacteristic
1954C23C24×D7911yescharacteristic
1955C23C24×D7911yescharacteristic
1956Q8—42no—
1957Q8—42no—
1958Q8—42no—
1959Q8—3162no—
1960Q8—3164no—
1961Q8—3162no—
1962Q8—3162no—
1963Q8—3164no—
1964D4—28no—
1965D4—28no—
1966D4—28no—
1967D4—42no—
1968D4—42no—
1969D4—42no—
1970D4—3164no—
1971D4—3164no—
1972D4—3162no—
1973D4—3164no—
1974D4—3162no—
1975D4—3164no—
1976D4—3164no—
1977D4—3164no—
1978D4—3164no—
1979D4—3162no—
1980D4—3164no—
1981D4—3164no—
1982D4—3164no—
1983D4—3164no—
1984D4—3164no—
1985D4—3164no—
1986D4—3164no—
1987D4—1588no—
1988D4—1588no—
1989D4—1588no—
1990D4—1588no—
1991D4—1588no—
1992D4—1588no—
1993D4—1588no—
1994C2×C4—24no—
1995C2×C4—24no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—41no—
1999C2×C4—42no—
2000C2×C4—41no—
2001C2×C4—42no—
2002C2×C4—42no—
2003C2×C4—41no—
2004C2×C4—42no—
2005C2×C4—41no—
2006C2×C4—44no—
2007C2×C4—44no—
2008C2×C4—44no—
2009C2×C4—3162no—
2010C2×C4—3162no—
2011C2×C4—3162no—
2012C2×C4—3162no—
2013C2×C4—3164no—
2014C2×C4—3164no—
2015C2×C4—3164no—
2016C2×C4—3164no—
2017C2×C4—3164no—
2018C2×C4—3164no—
2019C2×C4—3164no—
2020C2×C4—3164no—
2021C2×C4—3164no—
2022C2×C4—3164no—
2023C2×C4—3161no—
2024C2×C4—3162no—
2025C2×C4—3161no—
2026C2×C4—3164no—
2027C2×C4—3162no—
2028C2×C4—3162no—
2029C2×C4—3164no—
2030C2×C4—794no—
2031C2×C4—794no—
2032C2×C4—792no—
2033C2×C4—794no—
2034C2×C4—794no—
2035C2×C4—792no—
2036C2×C4—1584no—
2037C2×C4—1584no—
2038C2×C4—1584no—
2039C2×C4—1584no—
2040C2×C4—1588no—
2041C2×C4—1584no—
2042C2×C4—1584no—
2043C2×C4C24×D7914yes—
2044C2×C4C24×D7912yes—
2045C2×C4C24×D7912yes—
2046C2×C4C24×D7912yes—
2047C2×C4C24×D7914yes—
2048C2×C4C24×D7914yes—
2049C2×C4C24×D7912yes—
2050C2×C4C24×D7912yes—
2051C2×C4C24×D7912yes—
2052C22—28no—
2053C22—21no—
2054C22—21no—
2055C22—21no—
2056C22—21no—
2057C22—21no—
2058C22—21no—
2059C22—24no—
2060C22—24no—
2061C22—24no—
2062C22—3164no—
2063C22—3168no—
2064C22—3168no—
2065C22—3164no—
2066C22—794no—
2067C22—6324no—
2068C22—6324no—
2069C22—6324no—
2070C22—6328no—
2071C22—1582no—
2072C22—1584no—
2073C22—1584no—
2074C22—1584no—
2075C22—1584no—
2076C22—1582no—
2077C22—1584no—
2078C22—1584no—
2079C22—1582no—
2080C22—1582no—
2081C22—1582no—
2082C22—12644no—
2083C22H(5,𝔽2)×D7912yes—
2084C22#1909939912yes—
2085C22#1909940012yes—
2086C22C25×D7911yescharacteristic
2087C4—22no—
2088C4—22no—
2089C4—22no—
2090C4—22no—
2091C4—24no—
2092C4—22no—
2093C4—22no—
2094C4—24no—
2095C4—24no—
2096C4—1582no—
2097C4—1582no—
2098C4—1584no—
2099C4—1584no—
2100C4—1584no—
2101C4—1584no—
2102C2—22no—
2103C2—22no—
2104C2—22no—
2105C2—44no—
2106C2—3162no—
2107C2—3164no—
2108C2—3164no—
2109C2—1584no—
2110C2C2×H(5,𝔽2)×D7911yescharacteristic
2111C2C2×#1909939911yescharacteristic
2112C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3492C2
hypercenter#3492D79
hypocenterC79#62820
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3492

Complements

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

NH ≅ G/Ntype
1. #23777610C2semidirect
2. #23777606C2semidirect
3. #23777604C2semidirect
4. #23777595C2semidirect
5. #23777579C2semidirect
6. #23777577C2semidirect
7. #23777570C2semidirect
8. #23777566C2semidirect
9. #23777343C2semidirect
10. #23777342C2semidirect
11. #23777331C2semidirect
12. #23777330C2semidirect
13. #23777109C2semidirect
14. #23777101C2semidirect
15. #23777095C2semidirect
16. #23777083C2semidirect
17. #23777083C2semidirect
18. #23777083C2semidirect
19. #23777039C2semidirect
20. #23777033C2semidirect
21. #525×D79C2semidirect
22. C22×#14579146C2semidirect
23. C79×#3492C2semidirect
24. C2×#14579207C22semidirect
25. C2×#41×D79C22semidirect
27. C23×C4×D79C22semidirect
28. #19099317C22semidirect
29. #19099312C22semidirect
30. #19099311C22semidirect
31. #19099310C22semidirect
32. #19099309C22semidirect
33. #19099309C22semidirect
34. #19099304C22semidirect
35. #19099301C22semidirect
36. #19099298C22semidirect
37. #19099297C22semidirect
38. #19099272C22semidirect
39. #19099268C22semidirect
40. #19099267C22semidirect
41. #19099266C22semidirect
42. #19099264C22semidirect
43. #19099262C22semidirect
44. #19099262C22semidirect
45. #19099261C22semidirect
46. #19099261C22semidirect
47. #19099256C22semidirect
48. #19099254C22semidirect
49. #19099251C22semidirect
50. #19099250C22semidirect
51. #19099248C22semidirect
52. #19099246C22semidirect
53. #19099245C22semidirect
54. #19099245C22semidirect
55. #19099242C22semidirect
56. #19099242C22semidirect
57. #19099242C22semidirect
58. #19099240C22semidirect
59. #19099240C22semidirect
60. #19099240C22semidirect
61. #19099240C22semidirect
62. #19099240C22semidirect
63. #19099238C22semidirect
64. #19099238C22semidirect
65. #19099237C22semidirect
66. #19099237C22semidirect
67. #19099237C22semidirect
68. #19099237C22semidirect
69. #19099237C22semidirect
70. #19099236C22semidirect
71. #19099236C22semidirect
72. #19099236C22semidirect
73. #19099216C22semidirect
74. #19099215C22semidirect
75. #19099214C22semidirect
76. #19099214C22semidirect
77. #19099212C22semidirect
78. #19099211C22semidirect
79. #19099211C22semidirect
80. #19099209C22semidirect
81. #19099209C22semidirect
82. #19099209C22semidirect
83. #19099208C22semidirect
84. #19099208C22semidirect
85. #19099208C22semidirect
86. #19099205C22semidirect
87. #19099205C22semidirect
88. #19099205C22semidirect
89. #19099205C22semidirect
90. #19099204C22semidirect
91. #19099204C22semidirect
92. #19099204C22semidirect
93. #19099202C22semidirect
94. #19099202C22semidirect
95. #19099202C22semidirect
96. #19099202C22semidirect
97. #19099201C22semidirect
98. #19099201C22semidirect
99. #19099201C22semidirect
100. D4×D316C22semidirect
101. D4×D316C22semidirect
102. #19099197C22semidirect
103. #19099197C22semidirect
104. #19099194C22semidirect
105. #19099192C22semidirect
106. #19099188C22semidirect
107. #19099188C22semidirect
108. #19099188C22semidirect
109. #19099187C22semidirect
110. #19099185C22semidirect
111. #19099183C22semidirect
112. #19099179C22semidirect
113. #19099169C22semidirect
114. #19099168C22semidirect
115. #19099165C22semidirect
116. #19099163C22semidirect
117. #19099162C22semidirect
118. #19099162C22semidirect
119. #19099161C22semidirect
120. #19099161C22semidirect
121. #19099161C22semidirect
122. #19099161C22semidirect
123. #19099160C22semidirect
124. #19099160C22semidirect
125. #19099160C22semidirect
126. #19099159C22semidirect
127. #19099158C22semidirect
128. #19099155C22semidirect
129. #19099154C22semidirect
130. #19099153C22semidirect
131. #19099153C22semidirect
132. #19099153C22semidirect
133. #19099153C22semidirect
134. #19099152C22semidirect
135. #19099150C22semidirect
136. #19099150C22semidirect
137. #19099150C22semidirect
138. #19099149C22semidirect
139. #19099146C22semidirect
140. #19099146C22semidirect
141. #19099146C22semidirect
142. #19099146C22semidirect
143. #19099144C22semidirect
144. #19099140C22semidirect
145. #19099138C22semidirect
146. #19099136C22semidirect
147. #19099132C22semidirect
148. #19099127C22semidirect
150. #19099124C22semidirect
151. #19099124C22semidirect
152. #19099121C22semidirect
153. #19099121C22semidirect
154. #19099121C22semidirect
155. #19099121C22semidirect
156. #19099100C22semidirect
157. #19099098C22semidirect
158. #19099096C22semidirect
159. #19099091C22semidirect
160. #19099076C22semidirect
161. #19099076C22semidirect
162. #19099076C22semidirect
163. #19099075C22semidirect
164. #19099074C22semidirect
165. #19099074C22semidirect
166. #19099074C22semidirect
167. #19099073C22semidirect
168. #19099073C22semidirect
169. #19099072C22semidirect
170. #19099072C22semidirect
171. #19099072C22semidirect
172. #19099071C22semidirect
173. #19099070C22semidirect
174. #19099069C22semidirect
175. #19099069C22semidirect
176. C2×#14579146C22semidirect
177. C2×#14579146C22semidirect
178. C2×#14579146C22semidirect
179. C2×#14579146C22semidirect
180. C2×#14579146C22semidirect
181. C2×#14579146C22semidirect
182. C2×#14579146C22semidirect
183. C2×#14579146C22semidirect
184. C2×#14579146C22semidirect
185. #123×D79C22semidirect
186. #123×D79C22semidirect
187. C22⋊Q8×D79C22semidirect
188. C22⋊Q8×D79C22semidirect
189. #121×D79C22semidirect
190. #121×D79C22semidirect
191. #120×D79C22semidirect
192. #120×D79C22semidirect
193. #19099044C22semidirect
194. #19099042C22semidirect
195. #19099037C22semidirect
196. #19099035C22semidirect
197. #19099035C22semidirect
198. #19099035C22semidirect
199. C4×D4×D79C22semidirect
200. C4×D4×D79C22semidirect
201. #117×D79C22semidirect
202. C22×Dic79⋊C4C22semidirect
203. C22×(C2×D79)⋊C4C22semidirect
204. C22×(C2×D79)⋊C4C22semidirect
205. C22×(C2×D79)⋊C4C22semidirect
206. #554×C79C22semidirect
207. #553×C79C22semidirect
208. #552×C79C22semidirect
209. #547×C79C22semidirect
210. #544×C79C22semidirect
211. #539×C79C22semidirect
212. #539×C79C22semidirect
213. #537×C79C22semidirect
214. #525×C79C22semidirect
215. #525×C79C22semidirect
216. #525×C79C22semidirect
217. #520×C79C22semidirect
218. C22×C4⋊C4×C79C22semidirect
223. C2×#11929625C23semidirect
228. C2×#11929624C23semidirect
231. C2×#11929623C23semidirect
233. C2×Q8×D79C23semidirect
248. C2×D4×D79C23semidirect
258. C22×C4×D79C23semidirect
259. #14579160C23semidirect
260. #14579160C23semidirect
261. #14579159C23semidirect
264. #14579156C23semidirect
265. #14579156C23semidirect
266. #14579156C23semidirect
267. #14579156C23semidirect
268. #14579156C23semidirect
269. #14579156C23semidirect
270. #14579156C23semidirect
271. #14579156C23semidirect
272. #14579156C23semidirect
273. #14579156C23semidirect
274. #14579156C23semidirect
275. #14579156C23semidirect
276. #14579155C23semidirect
277. #14579155C23semidirect
278. #14579155C23semidirect
279. #14579155C23semidirect
280. #14579154C23semidirect
281. #14579154C23semidirect
282. #14579153C23semidirect
283. #14579152C23semidirect
284. #14579152C23semidirect
285. #14579151C23semidirect
286. #14579151C23semidirect
287. #14579151C23semidirect
288. #14579151C23semidirect
289. #14579151C23semidirect
290. #14579151C23semidirect
292. #14579150C23semidirect
293. #14579150C23semidirect
294. #14579150C23semidirect
296. #14579149C23semidirect
297. #14579149C23semidirect
298. #14579149C23semidirect
299. #14579147C23semidirect
300. #14579147C23semidirect
301. #14579147C23semidirect
302. #14579147C23semidirect
303. #14579147C23semidirect
304. #14579147C23semidirect
325. #14579146C23semidirect
326. #14579146C23semidirect
327. #14579146C23semidirect
328. #14579146C23semidirect
329. #14579146C23semidirect
330. #14579146C23semidirect
331. #14579146C23semidirect
332. #14579146C23semidirect
333. #14579146C23semidirect
334. #14579146C23semidirect
335. #14579146C23semidirect
336. #14579146C23semidirect
337. #14579146C23semidirect
338. #14579146C23semidirect
341. #14579145C23semidirect
342. #14579145C23semidirect
343. #14579145C23semidirect
347. #14579144C23semidirect
348. #14579144C23semidirect
349. #14579144C23semidirect
350. #14579144C23semidirect
351. #14579143C23semidirect
352. #14579143C23semidirect
353. #14579143C23semidirect
354. #14579143C23semidirect
355. #14579143C23semidirect
356. #14579143C23semidirect
359. #14579142C23semidirect
360. #14579141C23semidirect
361. #14579141C23semidirect
362. #14579141C23semidirect
363. #14579141C23semidirect
364. #14579141C23semidirect
365. #14579141C23semidirect
372. #14579140C23semidirect
373. #14579139C23semidirect
374. #14579139C23semidirect
375. #14579139C23semidirect
376. #14579139C23semidirect
377. #14579139C23semidirect
378. #14579139C23semidirect
379. #14579139C23semidirect
380. #14579139C23semidirect
381. #14579139C23semidirect
382. #14579139C23semidirect
383. #14579139C23semidirect
384. #14579139C23semidirect
389. #14579138C23semidirect
390. #14579138C23semidirect
391. #14579137C23semidirect
392. #14579137C23semidirect
393. #14579137C23semidirect
394. #14579137C23semidirect
395. #14579137C23semidirect
396. #14579137C23semidirect
403. #14579136C23semidirect
404. #14579136C23semidirect
405. #14579136C23semidirect
406. #14579136C23semidirect
407. #14579136C23semidirect
408. #14579136C23semidirect
417. #14579135C23semidirect
418. #14579135C23semidirect
419. #14579135C23semidirect
424. #14579134C23semidirect
425. #14579134C23semidirect
426. #14579134C23semidirect
427. #14579134C23semidirect
428. #14579134C23semidirect
429. #14579134C23semidirect
434. #14579133C23semidirect
435. #14579133C23semidirect
436. #14579133C23semidirect
437. #14579133C23semidirect
438. #14579132C23semidirect
439. #14579132C23semidirect
450. #14579131C23semidirect
451. #14579131C23semidirect
452. #14579131C23semidirect
460. #14579129C23semidirect
461. #14579129C23semidirect
462. #14579129C23semidirect
463. C4×Dic158C23semidirect
464. #14579126C23semidirect
465. #14579126C23semidirect
468. C4×D316C23semidirect
469. C4×D316C23semidirect
470. C4×D316C23semidirect
471. C4×D316C23semidirect
472. C4×D316C23semidirect
479. #14579123C23semidirect
480. #14579123C23semidirect
481. #14579123C23semidirect
482. #14579123C23semidirect
483. #14579123C23semidirect
484. #14579123C23semidirect
491. C4×C22⋊D79C23semidirect
492. C4×C22⋊D79C23semidirect
493. C4×C22⋊D79C23semidirect
494. C4×C22⋊D79C23semidirect
495. C4×C22⋊D79C23semidirect
496. C4×C22⋊D79C23semidirect
501. (C22⋊D79)⋊C4C23semidirect
502. (C22⋊D79)⋊C4C23semidirect
503. (C22⋊D79)⋊C4C23semidirect
504. (C22⋊D79)⋊C4C23semidirect
505. (C22⋊D79)⋊C4C23semidirect
506. (C22⋊D79)⋊C4C23semidirect
510. #14579119C23semidirect
511. #14579119C23semidirect
512. #14579119C23semidirect
513. #14579119C23semidirect
514. #14579119C23semidirect
515. #14579119C23semidirect
516. #14579118C23semidirect
517. #14579118C23semidirect
518. #14579118C23semidirect
519. #14579118C23semidirect
520. #14579118C23semidirect
523. #14579117C23semidirect
529. C2×Dic79⋊C4C23semidirect
530. C4⋊C4×D79C23semidirect
531. C4⋊C4×D79C23semidirect
532. C4⋊C4×D79C23semidirect
533. C4⋊C4×D79C23semidirect
534. C4⋊C4×D79C23semidirect
535. C4⋊C4×D79C23semidirect
550. C2×(C2×D79)⋊C4C23semidirect
551. C2×(C2×D79)⋊C4C23semidirect
552. C2×(C2×D79)⋊C4C23semidirect
559. C22⋊C4×D79C23semidirect
560. C22⋊C4×D79C23semidirect
561. C22⋊C4×D79C23semidirect
562. C22⋊C4×D79C23semidirect
563. C22⋊C4×D79C23semidirect
564. C42×D79C23semidirect
571. C4⋊Q8×C79C23semidirect
572. #126×C79C23semidirect
573. #126×C79C23semidirect
574. #125×C79C23semidirect
575. #125×C79C23semidirect
576. #125×C79C23semidirect
580. #123×C79C23semidirect
581. #123×C79C23semidirect
588. C22⋊Q8×C79C23semidirect
589. C22⋊Q8×C79C23semidirect
590. C22⋊Q8×C79C23semidirect
597. #121×C79C23semidirect
599. C4×Q8×C79C23semidirect
606. C4×D4×C79C23semidirect
610. #117×C79C23semidirect
617. C2×C4⋊C4×C79C23semidirect
1071. #3492D79semidirect
1080. C79#62820semidirect
1098. #554C2×D79semidirect
1106. #553C2×D79semidirect
1114. #552C2×D79semidirect
1140. #547C2×D79semidirect
1167. #544C2×D79semidirect
1192. #539C2×D79semidirect
1193. #539C2×D79semidirect
1209. #537C2×D79semidirect
1241. #525C2×D79semidirect
1242. #525C2×D79semidirect
1243. #525C2×D79semidirect
1263. #520C2×D79semidirect
1272. C22×C4⋊C4C2×D79semidirect
1325. C4⋊Q8C22×D79semidirect
1346. #126C22×D79semidirect
1347. #126C22×D79semidirect
1357. #125C22×D79semidirect
1358. #125C22×D79semidirect
1359. #125C22×D79semidirect
1432. #123C22×D79semidirect
1433. #123C22×D79semidirect
1477. C22⋊Q8C22×D79semidirect
1478. C22⋊Q8C22×D79semidirect
1479. C22⋊Q8C22×D79semidirect
1529. #121C22×D79semidirect
1557. C4×Q8C22×D79semidirect
1605. C4×D4C22×D79semidirect
1626. #117C22×D79semidirect
1645. C2×C4⋊C4C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237776102
#237776062
#237776042
#237775952
#237775792
#237775772
#237775702
#237775662
#237773432
#237773422
#237773312
#237773302
#237771092
#237771012
#237770952
#237770832
#237770392
#237770332
#525×D792
C22×#145791462
C79×#34922
#6282079