Finite Group Databasebeta

← #35196982

Subgroups — #35196982

Order 20224.

7330 conjugacy classes of subgroups.

The subgroup lattice has 2050 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777968C212yesmaximal, complemented
2#23777964C214yesmaximal, complemented
3#23777962C212yesmaximal, complemented
4#23777922C212yesmaximal, complemented
5#23777913C212yesmaximal, complemented
6#23777911C214yesmaximal, complemented
7#23777757C211yesmaximal, characteristic, complemented
8#23777754C212yesmaximal, complemented
9#23777752C212yesmaximal, complemented
10#23777749C212yesmaximal, complemented
11#23777359C214yesmaximal, complemented
12#23777357C214yesmaximal, complemented
13#23777353C214yesmaximal, complemented
14#23777350C214yesmaximal, complemented
15#23777288C214yesmaximal, complemented
16#23777186C214yesmaximal, complemented
17#23777084C214yesmaximal, complemented
18#23777082C214yesmaximal, complemented
19#23777049C212yesmaximal, complemented
20#23777032C212yesmaximal, complemented
21#23776694C212yesmaximal, complemented
22C2×#124×D79C211yesmaximal, characteristic, complemented
23C79×#3545C211yesmaximal, characteristic, complemented
24C2×#14579208C2212yescomplemented
25C2×#14579206C2212yescomplemented
26C22×Q8×D79C2211yescharacteristic, complemented
27C22×D4×D79C2211yescharacteristic
28#19099317C2212yescomplemented
29#19099316C2212yescomplemented
30#19099313C2211yescharacteristic, complemented
31#19099312C2212yescomplemented
32#19099311C2212yescomplemented
33#19099309C2214yescomplemented
34#19099308C2214yescomplemented
35#19099307C2212yescomplemented
36#19099307C2212yescomplemented
37#19099306C2212yescomplemented
38#19099305C2211yescharacteristic, complemented
39#19099305C2212yescomplemented
40#19099305C2212yescomplemented
41#19099297C2214yescomplemented
42#19099297C2214yescomplemented
43#19099296C2214yescomplemented
44#19099295C2214yescomplemented
45#19099284C2214yescomplemented
46#19099281C2214yescomplemented
47#19099280C2214yescomplemented
48#19099280C2214yescomplemented
49#19099279C2212yescomplemented
50#19099277C2214yescomplemented
51#19099276C2214yescomplemented
52#19099275C2212yescomplemented
53#19099275C2212yescomplemented
54#19099244C2214yescomplemented
55#19099244C2212yescomplemented
56#19099243C2212yescomplemented
57#19099243C2214yescomplemented
58#19099242C2214yescomplemented
59#19099242C2214yescomplemented
60#19099241C2212yescomplemented
61#19099241C2214yescomplemented
62#19099240C2214yescomplemented
63#19099240C2214yescomplemented
64#19099240C2214yescomplemented
65#19099239C2214yescomplemented
66#19099239C2214yescomplemented
67#19099238C2214yescomplemented
68#19099238C2214yescomplemented
69#19099237C2214yescomplemented
70#19099237C2214yescomplemented
71#19099237C2214yescomplemented
72#19099236C2214yescomplemented
73#19099236C2214yescomplemented
74#19099228C2214yescomplemented
75#19099228C2214yescomplemented
76#19099226C2214yescomplemented
77#19099226C2214yescomplemented
78#19099223C2214yescomplemented
79#19099223C2214yescomplemented
80#19099223C2214yescomplemented
81#19099222C2214yescomplemented
82#19099221C2214yescomplemented
83#19099221C2214yescomplemented
84#19099221C2214yescomplemented
85#19099219C2214yescomplemented
86#19099210C2214yescomplemented
87#19099209C2214yescomplemented
88#19099208C2214yescomplemented
89#19099207C2214yescomplemented
90#19099206C2214yescomplemented
91#19099205C2214yescomplemented
92#19099205C2214yescomplemented
93#19099205C2214yescomplemented
94#19099205C2214yescomplemented
95#19099205C2214yescomplemented
96#19099204C2214yescomplemented
97#19099203C2214yescomplemented
98#19099203C2214yescomplemented
99#19099203C2214yescomplemented
100#19099202C2214yescomplemented
101#19099202C2214yescomplemented
102#19099202C2214yescomplemented
103#19099202C2214yescomplemented
104#19099202C2214yescomplemented
105#19099201C2214yescomplemented
106#19099200C2214yescomplemented
107#19099200C2214yescomplemented
108#19099200C2214yescomplemented
109#19099197C2214yescomplemented
110#19099197C2214yescomplemented
111#19099195C2214yescomplemented
112#19099195C2214yescomplemented
113#19099188C2214yescomplemented
114#19099188C2214yescomplemented
115#19099187C2214yescomplemented
116#19099185C2214yescomplemented
117#19099183C2214yescomplemented
118#19099183C2214yescomplemented
119#19099181C2214yescomplemented
120#19099181C2214yescomplemented
121#19099180C2214yescomplemented
122#19099179C2214yescomplemented
123#19099179C2214yescomplemented
124#19099177C2214yescomplemented
125#19099177C2214yescomplemented
126#19099153C2214yescomplemented
127#19099152C2214yescomplemented
128#19099152C2214yescomplemented
129#19099152C2214yescomplemented
130#19099149C2214yescomplemented
131#19099149C2214yescomplemented
132#19099148C2214yescomplemented
133#19099147C2214yescomplemented
134#19099147C2214yescomplemented
135#19099147C2214yescomplemented
136#19099147C2214yescomplemented
137#19099146C2214yescomplemented
138#19099145C2214yescomplemented
139#19099145C2214yescomplemented
140#19099145C2214yescomplemented
141#19099137C2212yescomplemented
142#19099136C2214yescomplemented
143#19099135C2214yescomplemented
144#19099135C2214yescomplemented
145#19099135C2214yescomplemented
146#19099129C2214yescomplemented
147#19099128C2214yes—
148#19099128C2214yescomplemented
149#19099124C2214yescomplemented
150#19099124C2214yescomplemented
151#19099123C2214yescomplemented
152#19099122C2212yescomplemented
153#19099119C2212yescomplemented
154#19099117C2212yescomplemented
155#19099115C2212yescomplemented
156#19099112C2212yescomplemented
157#19099110C2212yescomplemented
158#19099110C2214yescomplemented
159#19099108C2212yescomplemented
160#19099108C2214yescomplemented
161#19099098C2212yescomplemented
162#19099097C2212yescomplemented
163#19099096C2214yescomplemented
164#19099096C2214yescomplemented
165#19099096C2214yescomplemented
166#19099093C2214yescomplemented
167#19099092C2212yescomplemented
168#19099091C2214yescomplemented
169#19099091C2214yescomplemented
170#19099090C2214yescomplemented
171#19099090C2214yescomplemented
172C2×#14579150C2211yescharacteristic, complemented
173C2×#14579149C2211yescharacteristic, complemented
174C2×#14579148C2211yescharacteristic, complemented
175C2×#14579147C2214yescomplemented
176C2×#14579147C2214yescomplemented
177#124×D79C2212yescomplemented
178#124×D79C2214yescomplemented
179#124×D79C2212yescomplemented
180#124×D79C2214yescomplemented
181#124×D79C2212yescomplemented
182#124×D79C2212yescomplemented
183#124×D79C2214yescomplemented
184#19099076C2212yescomplemented
185#19099075C2212yescomplemented
186#19099073C2212yescomplemented
187#19099072C2214yescomplemented
188#19099071C2214yescomplemented
189#19099071C2214yescomplemented
190#19099070C2212yescomplemented
191C2×#14579131C2212yescomplemented
192C2×#14579129C2212yescomplemented
193#120×D79C2214yescomplemented
194#19099040C2212yescomplemented
195#19099037C2214yescomplemented
196#19099036C2212yescomplemented
197#19099036C2214yescomplemented
198#19099035C2214yescomplemented
199#19099035C2214yescomplemented
200C4×#11929625C2212yescomplemented
201#19099031C2214yescomplemented
202C4×#11929623C2214yescomplemented
203C4×#11929623C2212yescomplemented
204C2×C22⋊C4×D79C2214yescomplemented
205C2×C42×D79C2211yescharacteristic, complemented
206#563×C79C2211yescharacteristic, complemented
207#562×C79C2212yescomplemented
208H(3,𝔽4)×C79C2211yescharacteristic, complemented
209#555×C79C2212yescomplemented
210#551×C79C2214yescomplemented
211#551×C79C2212yescomplemented
212#546×C79C2214yescomplemented
213#542×C79C2214yescomplemented
214#538×C79C2214yescomplemented
215#536×C79C2212yescomplemented
216#534×C79C2212yescomplemented
217#529×C79C2212yescomplemented
218C2×#124×C79C2211yescharacteristic, complemented
219C24×D79C2312yes—
220#14579208—48no—
221#14579206—48no—
222C2×#11929625C2312yes—
223C2×#11929624C2314yes—
224C2×#11929624C2312yes—
225C2×#11929624C2314yes—
226C2×#11929624C2314yescomplemented
227C2×#11929623C2314yes—
228C2×#11929623C2314yes—
229C2×#11929623C2314yes—
230C2×#11929623C2312yes—
231C2×#11929623C2314yescomplemented
232C22×Dic158C2312yes—
233C22×Dic158C2311yescharacteristic
234C22×Dic158C2314yescomplemented
235C2×Q8×D79—44no—
236C2×Q8×D79C2312yes—
237C2×Q8×D79C2314yes—
238C2×Q8×D79C2312yes—
239C2×Q8×D79C2314yescomplemented
240C22×D316C2314yes—
241C22×D316C2311yescharacteristic
242C22×C22⋊D79C2312yes—
243C22×C22⋊D79C2314yes—
244C22×C22⋊D79C2312yes—
245C22×C22⋊D79C2314yes—
246C2×D4×D79—44no—
247C2×D4×D79C2314yes—
248C2×D4×D79C2314yes—
249C2×D4×D79C2312yes—
250C2×D4×D79C2314yes—
251C2×D4×D79C2314yes—
252C2×D4×D79C2314yes—
253C2×D4×D79C2312yes—
254C22×C4×D79C2311yescharacteristic
255C22×C4×D79C2312yes—
256C22×C4×D79C2312yes—
257#14579160C2312yescomplemented
258#14579160C2314yescomplemented
259#14579160C2312yescomplemented
260#14579160C2314yescomplemented
261#14579160C2314yescomplemented
262#14579160C2314yescomplemented
263#14579159C2312yescomplemented
264#14579159C2312yescomplemented
265#14579159C2312yescomplemented
266#14579157C2314yes—
267#14579157C2314yes—
268#14579157C2312yescomplemented
269#14579156C2314yescomplemented
270#14579156C2314yescomplemented
271#14579156C2314yescomplemented
272#14579156C2314yescomplemented
273#14579156C2314yescomplemented
274#14579156C2314yescomplemented
275#14579156C2314yescomplemented
276#14579155C2314yescomplemented
277#14579155C2314yescomplemented
278#14579155C2314yescomplemented
279#14579154C2314yescomplemented
280#14579154C2314yescomplemented
281#14579154C2314yescomplemented
282#14579154C2314yescomplemented
283#14579154C2314yescomplemented
284#14579154C2314yescomplemented
285#14579154C2314yescomplemented
286#14579153C2312yescomplemented
287#14579151C2314yescomplemented
288#14579151C2314yescomplemented
289#14579150C2312yes—
290#14579150C2312yes—
291#14579150C2312yes—
292#14579150C2312yes—
293#14579150C2312yescomplemented
294#14579150C2312yescomplemented
295#14579150C2314yescomplemented
296#14579150C2314yescomplemented
297#14579149C2314yes—
298#14579149C2312yes—
299#14579149C2312yes—
300#14579149C2314yescomplemented
301#14579149C2314yescomplemented
302#14579149C2312yescomplemented
303#14579148C2312yes—
304#14579148C2312yes—
305#14579148C2312yes—
306#14579148C2312yes—
307#14579148C2314yescomplemented
308#14579148C2314yescomplemented
309#14579147C2314yes—
310#14579147C2314yes—
311#14579147C2314yes—
312#14579147C2314yes—
313#14579147C2314yes—
314#14579147C2314yes—
315#14579147C2314yes—
316#14579147C2314yes—
317#14579147C2314yes—
318#14579147C2314yes—
319#14579147C2314yescomplemented
320#14579147C2314yescomplemented
321#14579147C2314yescomplemented
322#14579147C2314yescomplemented
323#14579147C2314yescomplemented
324#14579147C2314yescomplemented
325#14579147C2314yescomplemented
326#14579147C2314yescomplemented
327#14579147C2314yescomplemented
328#14579147C2314yescomplemented
329#14579147C2314yescomplemented
330#14579147C2314yescomplemented
331#14579147C2314yescomplemented
332#14579147C2314yescomplemented
333#14579146C2314yes—
334#14579146C2314yes—
335#14579146C2314yes—
336#14579146C2314yes—
337#14579146C2314yescomplemented
338#14579146C2314yescomplemented
339#14579146C2314yescomplemented
340#14579146C2314yescomplemented
341#14579146C2314yescomplemented
342#14579146C2314yescomplemented
343#14579145C2314yes—
344#14579145C2314yescomplemented
345#14579145C2314yescomplemented
346#14579145C2314yescomplemented
347#14579144C2314yes—
348#14579144C2314yes—
349#14579144C2314yescomplemented
350#14579144C2314yescomplemented
351#14579144C2314yescomplemented
352#14579143C2314yes—
353#14579143C2314yes—
354#14579143C2314yescomplemented
355#14579143C2314yescomplemented
356#14579143C2314yescomplemented
357#14579143C2314yescomplemented
358#14579143C2314yescomplemented
359#14579143C2314yescomplemented
360#14579142C2312yes—
361#14579142C2312yes—
362#14579142C2314yes—
363#14579142C2314yescomplemented
364#14579142C2314yescomplemented
365#14579142C2314yescomplemented
366#14579141C2312yes—
367#14579141C2314yes—
368#14579141C2314yescomplemented
369#14579141C2314yescomplemented
370#14579140C2312yes—
371#14579140C2314yescomplemented
372#14579140C2314yescomplemented
373#14579139C2314yes—
374#14579139C2314yes—
375#14579139C2314yes—
376#14579139C2314yes—
377#14579139C2314yes—
378#14579139C2314yescomplemented
379#14579139C2314yescomplemented
380#14579139C2314yescomplemented
381#14579139C2314yescomplemented
382#14579139C2314yescomplemented
383#14579139C2314yescomplemented
384#14579139C2314yescomplemented
385#14579139C2314yescomplemented
386#14579138C2314yes—
387#14579138C2314yescomplemented
388#14579138C2314yescomplemented
389#14579138C2314yescomplemented
390#14579138C2314yescomplemented
391#14579138C2314yescomplemented
392#14579138C2314yescomplemented
393#14579138C2314yescomplemented
394#14579138C2314yescomplemented
395#14579137C2312yes—
396#14579137C2314yes—
397#14579137C2314yescomplemented
398#14579137C2314yescomplemented
399#14579137C2314yescomplemented
400#14579137C2314yescomplemented
401#14579136C2312yes—
402#14579136C2314yes—
403#14579136C2314yes—
404#14579136C2314yes—
405#14579136C2314yescomplemented
406#14579136C2314yescomplemented
407#14579135C2312yes—
408#14579135C2314yescomplemented
409#14579135C2314yescomplemented
410#14579134C2314yes—
411#14579134C2314yes—
412#14579134C2314yes—
413#14579134C2314yes—
414#14579134C2314yes—
415#14579134C2314yes—
416#14579134C2314yes—
417#14579134C2314yes—
418#14579134C2314yes—
419#14579134C2314yescomplemented
420#14579134C2314yescomplemented
421#14579134C2314yescomplemented
422#14579134C2314yescomplemented
423#14579133C2314yes—
424#14579133C2314yes—
425#14579133C2314yes—
426#14579133C2314yes—
427#14579133C2314yes—
428#14579133C2314yescomplemented
429#14579133C2314yescomplemented
430#14579133C2314yescomplemented
431#14579133C2314yescomplemented
432#14579132C2312yes—
433#14579132C2314yes—
434#14579132C2314yescomplemented
435#14579132C2314yescomplemented
436#14579131C2314yes—
437#14579131C2314yes—
438#14579131C2314yes—
439#14579131C2314yes—
440#14579131C2314yes—
441#14579131C2314yes—
442#14579131C2314yes—
443#14579131C2314yes—
444#14579131C2314yescomplemented
445#14579131C2314yescomplemented
446#14579131C2314yescomplemented
447#14579130C2314yes—
448#14579130C2314yescomplemented
449#14579129C2314yes—
450#14579129C2312yes—
451#14579129C2314yes—
452#14579129C2314yes—
453#14579129C2312yes—
454#14579129C2314yes—
455#14579129C2314yes—
456#14579129C2314yes—
457#14579129C2314yescomplemented
458#14579129C2314yescomplemented
459#14579129C2314yescomplemented
460Q8×Dic79C2312yescomplemented
461C4×Dic158C2312yescomplemented
462C4×Dic158C2314yescomplemented
463C4×Dic158C2314yescomplemented
464C4×Dic158C2314yescomplemented
465#14579126C2314yescomplemented
466#14579126C2314yescomplemented
467#14579126C2314yescomplemented
468#14579126C2314yescomplemented
469#14579126C2312yescomplemented
470#14579126C2314yescomplemented
471C4×D316C2314yes—
472C4×D316C2314yes—
473C4×D316C2314yes—
474C4×D316C2312yescomplemented
475C4×D316C2314yescomplemented
476C4×D316C2314yescomplemented
477D4×Dic79C2314yes—
478D4×Dic79C2314yescomplemented
479D4×Dic79C2314yescomplemented
480D4×Dic79C2312yescomplemented
481#14579123C2314yes—
482#14579123C2314yes—
483#14579123C2314yes—
484#14579123C2314yes—
485#14579123C2314yes—
486#14579123C2314yescomplemented
487#14579123C2314yescomplemented
488#14579123C2312yescomplemented
489C4×C22⋊D79C2314yes—
490C4×C22⋊D79C2314yes—
491C4×C22⋊D79C2314yes—
492C4×C22⋊D79C2314yes—
493C4×C22⋊D79C2314yes—
494C4×C22⋊D79C2314yes—
495C4×C22⋊D79C2314yescomplemented
496C4×C22⋊D79C2314yescomplemented
497C4×C22⋊D79C2314yescomplemented
498C4×C22⋊D79C2314yescomplemented
499C4×C22⋊D79C2314yescomplemented
500(C22⋊D79)⋊C4C2314yes—
501(C22⋊D79)⋊C4C2314yes—
502(C22⋊D79)⋊C4C2314yes—
503(C22⋊D79)⋊C4C2314yes—
504(C22⋊D79)⋊C4C2314yes—
505(C22⋊D79)⋊C4C2314yes—
506(C22⋊D79)⋊C4C2314yes—
507(C22⋊D79)⋊C4C2314yes—
508(C22⋊D79)⋊C4C2314yescomplemented
509(C22⋊D79)⋊C4C2314yescomplemented
510(C22⋊D79)⋊C4C2314yescomplemented
511(C22⋊D79)⋊C4C2314yescomplemented
512(C22⋊D79)⋊C4C2314yescomplemented
513(C22⋊D79)⋊C4C2314yescomplemented
514(C22⋊D79)⋊C4C2314yescomplemented
515#14579120C2312yes—
516#14579120C2314yescomplemented
517#14579119C2312yes—
518#14579119C2312yes—
519#14579119C2314yescomplemented
520#14579119C2314yescomplemented
521#14579119C2314yescomplemented
522#14579119C2314yescomplemented
523#14579118C2314yes—
524#14579118C2314yescomplemented
525#14579118C2314yescomplemented
526#14579118C2314yescomplemented
527#14579117C2314yes—
528#14579117C2314yes—
529#14579117C2314yescomplemented
530#14579117C2314yescomplemented
531#14579117C2314yescomplemented
532#14579117C2314yescomplemented
533C2×C22⋊Dic79C2314yes—
534C2×C22⋊Dic79C2312yes—
535C2×C22⋊Dic79C2314yescomplemented
536C2×(C2×D79)⋊C4C2314yes—
537C2×(C2×D79)⋊C4C2314yes—
538C2×(C2×D79)⋊C4C2314yes—
539C2×(C2×D79)⋊C4C2314yes—
540C2×(C2×D79)⋊C4C2314yescomplemented
541C2×(C2×D79)⋊C4C2314yescomplemented
542C22⋊C4×D79C2314yes—
543C22⋊C4×D79C2314yes—
544C22⋊C4×D79C2314yes—
545C22⋊C4×D79C2314yes—
546C22⋊C4×D79C2314yes—
547C22⋊C4×D79C2314yes—
548C22⋊C4×D79C2314yes—
549C22⋊C4×D79C2314yes—
550C22⋊C4×D79C2314yes—
551C22⋊C4×D79C2314yes—
552C22⋊C4×D79C2314yes—
553C22⋊C4×D79C2314yescomplemented
554C22⋊C4×D79C2314yescomplemented
555C22⋊C4×D79C2314yescomplemented
556C22⋊C4×D79C2314yescomplemented
557C2×C4×Dic79C2312yes—
558C2×C4×Dic79C2311yescharacteristic
559C2×C4×Dic79C2314yescomplemented
560C42×D79C2312yes—
561C42×D79C2312yes—
562C42×D79C2312yes—
563C42×D79C2312yes—
564C42×D79C2314yescomplemented
565C2×#41×C79C2312yes—
566C22×Q8×C79C2311yescharacteristic
567C22×D4×C79C2312yes—
568C22×D4×C79C2311yescharacteristic
569C4⋊Q8×C79C2312yescomplemented
570C4⋊Q8×C79C2312yescomplemented
571#126×C79C2314yescomplemented
572#126×C79C2314yescomplemented
573#126×C79C2314yescomplemented
574#125×C79C2312yescomplemented
575#124×C79C2314yes—
576#124×C79C2311yescharacteristic
577#124×C79C2311yescharacteristic
578#124×C79C2311yescharacteristic
579#124×C79C2311yescharacteristic
580#124×C79C2312yescomplemented
581#124×C79C2314yescomplemented
582#124×C79C2314yescomplemented
583#124×C79C2312yescomplemented
584#124×C79C2312yescomplemented
585#123×C79C2312yes—
586#123×C79C2312yes—
587#123×C79C2314yes—
588#123×C79C2314yes—
589#123×C79C2314yescomplemented
590#123×C79C2314yescomplemented
591#123×C79C2314yescomplemented
592C22⋊Q8×C79C2312yes—
593C22⋊Q8×C79C2314yescomplemented
594C22⋊Q8×C79C2314yescomplemented
595C22⋊Q8×C79C2314yescomplemented
596C22⋊Q8×C79C2314yescomplemented
597#121×C79C2314yes—
598#121×C79C2314yes—
599#121×C79C2312yes—
600#121×C79C2314yescomplemented
601#121×C79C2314yescomplemented
602#120×C79C2312yes—
603#120×C79C2312yes—
604#120×C79C2314yes—
605#120×C79C2314yescomplemented
606C4×Q8×C79C2312yescomplemented
607C4×D4×C79C2314yes—
608C4×D4×C79C2312yescomplemented
609C4×D4×C79C2314yescomplemented
610C4×D4×C79C2314yescomplemented
611#117×C79C2312yes—
612#117×C79C2314yescomplemented
613#117×C79C2314yescomplemented
614C2×C22⋊C4×C79C2314yes—
615C2×C22⋊C4×C79C2312yes—
616C2×C22⋊C4×C79C2314yescomplemented
617C2×C42×C79C2311yescharacteristic
618C23×D79—48no—
619C23×D79—44no—
620C23×D79C2411yescharacteristic
621C23×D79C2414yes—
622C23×D79C2414yes—
623C23×D79C2412yes—
624C23×D79C2412yes—
625C23×D79C2414yes—
626#11929625—44no—
627#11929624—44no—
628#11929624—48no—
629#11929624—48no—
630#11929624—48no—
631#11929623—216no—
632#11929623—44no—
633#11929623—48no—
634#11929623—48no—
635#11929623—48no—
636C2×Dic158—28no—
637C2×Dic158—42no—
638C2×Dic158—48no—
639C2×Dic158C2414yes—
640C2×Dic158C2414yes—
641C2×Dic158C2414yes—
642C2×Dic158C2412yes—
643C2×Dic158C2412yes—
644C2×Dic158C2414yes—
645C2×Dic158C2412yes—
646C2×Dic158C2412yes—
647C2×Dic158C2414yes—
648Q8×D79—44no—
649Q8×D79—48no—
650Q8×D79—44no—
651Q8×D79—48no—
652C2×D316—42no—
653C2×D316—48no—
654C2×D316C2414yes—
655C2×D316C2414yes—
656C2×D316C2412yes—
657C2×D316C2414yes—
658C2×D316C2412yes—
659C2×D316C2414yes—
660C2×D316C2414yes—
661C2×D316C2412yes—
662C2×D316C2412yes—
663C2×C22⋊D79—28no—
664C2×C22⋊D79—48no—
665C2×C22⋊D79—44no—
666C2×C22⋊D79—48no—
667C2×C22⋊D79C2414yes—
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—
679C2×C22⋊D79C2414yes—
680C2×C22⋊D79C2414yes—
681D4×D79—48no—
682D4×D79—44no—
683D4×D79—48no—
684D4×D79—44no—
685D4×D79—48no—
686D4×D79—48no—
687D4×D79—48no—
688C22×Dic79C2412yes—
689C22×Dic79C2414yes—
690C22×Dic79C2414yes—
691C22×Dic79C2412yes—
692C22×Dic79C2414yes—
693C22×Dic79C2412yes—
694C22×Dic79C2414yes—
695C22×Dic79C2411yescharacteristic
696C2×C4×D79—24no—
697C2×C4×D79—44no—
698C2×C4×D79—44no—
699C2×C4×D79C2412yes—
700C2×C4×D79C2412yes—
701C2×C4×D79C2414yes—
702C2×C4×D79C2412yes—
703C2×C4×D79C2412yes—
704C2×C4×D79C2414yes—
705C2×C4×D79C2414yes—
706C2×C4×D79C2414yes—
707C2×C4×D79C2414yes—
708C2×C4×D79C2414yes—
709C2×C4×D79C2414yes—
710C2×C4×D79C2414yes—
711C2×C4×D79C2412yes—
712C2×C4×D79C2412yes—
713C2×C4×D79C2414yes—
714C2×C4×D79C2414yes—
715C4⋊Dic79C2412yes—
716C4⋊Dic79C2412yes—
717C4⋊Dic79C2414yes—
718C4⋊Dic79C2414yes—
719C4⋊Dic79C2414yes—
720C4⋊Dic79C2414yes—
721C4⋊Dic79C2414yes—
722Dic79⋊C4C2414yes—
723Dic79⋊C4C2414yes—
724Dic79⋊C4C2414yes—
725Dic79⋊C4C2414yes—
726Dic79⋊C4C2414yes—
727Dic79⋊C4C2414yes—
728Dic79⋊C4C2414yes—
729Dic79⋊C4C2414yes—
730Dic79⋊C4C2414yes—
731Dic79⋊C4C2414yes—
732Dic79⋊C4C2414yes—
733Dic79⋊C4C2414yes—
734Dic79⋊C4C2414yes—
735Dic79⋊C4C2414yes—
736Dic79⋊C4C2414yes—
737Dic79⋊C4C2414yes—
738C22⋊Dic79C2414yes—
739C22⋊Dic79C2414yes—
740C22⋊Dic79C2414yes—
741C22⋊Dic79C2414yes—
742C22⋊Dic79C2414yes—
743C22⋊Dic79C2414yes—
744C22⋊Dic79C2414yes—
745C22⋊Dic79C2414yes—
746C22⋊Dic79C2414yes—
747C22⋊Dic79C2412yes—
748C22⋊Dic79C2412yes—
749C22⋊Dic79C2414yes—
750C22⋊Dic79C2414yes—
751(C2×D79)⋊C4C2414yes—
752(C2×D79)⋊C4C2414yes—
753(C2×D79)⋊C4C2414yes—
754(C2×D79)⋊C4C2414yes—
755(C2×D79)⋊C4C2414yes—
756(C2×D79)⋊C4C2414yes—
757(C2×D79)⋊C4C2414yes—
758(C2×D79)⋊C4C2414yes—
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—
779C4×Dic79C2412yes—
780C4×Dic79C2411yescharacteristic
781C4×Dic79C2412yes—
782C4×Dic79C2412yes—
783C4×Dic79C2412yes—
784C4×Dic79C2412yes—
785C4×Dic79C2411yescharacteristic
786C4×Dic79C2414yes—
787C4×Dic79C2414yes—
788C4×Dic79C2414yes—
789C4×Dic79C2414yes—
790C4×Dic79C2414yes—
791C4×Dic79C2414yes—
792C4×Dic79C2414yes—
793C4×Dic79C2412yes—
794C4×Dic79C2412yes—
795C24×C79C2412yes—
796C24×C79C2412yes—
797#41×C79—44no—
798C2×Q8×C79—42no—
799C2×Q8×C79C2411yescharacteristic
800C2×Q8×C79C2412yes—
801C2×Q8×C79C2411yescharacteristic
802C2×Q8×C79C2412yes—
803C2×Q8×C79C2412yes—
804C2×D4×C79—42no—
805C2×D4×C79—44no—
806C2×D4×C79C2414yes—
807C2×D4×C79C2412yes—
808C2×D4×C79C2414yes—
809C2×D4×C79C2412yes—
810C2×D4×C79C2414yes—
811C2×D4×C79C2414yes—
812C2×D4×C79C2411yescharacteristic
813C2×D4×C79C2412yes—
814C2×D4×C79C2411yescharacteristic
815C22×C4×C79C2412yes—
816C22×C4×C79C2411yescharacteristic
817C22×C4×C79C2414yes—
818C22×C4×C79C2412yes—
819C22×C4×C79C2414yes—
820C22×C4×C79C2412yes—
821C22×C4×C79C2414yes—
822C4⋊C4×C79C2414yes—
823C4⋊C4×C79C2414yes—
824C4⋊C4×C79C2414yes—
825C4⋊C4×C79C2414yes—
826C4⋊C4×C79C2414yes—
827C4⋊C4×C79C2412yes—
828C4⋊C4×C79C2414yes—
829C4⋊C4×C79C2412yes—
830C4⋊C4×C79C2414yes—
831C22⋊C4×C79C2414yes—
832C22⋊C4×C79C2414yes—
833C22⋊C4×C79C2414yes—
834C22⋊C4×C79C2412yes—
835C22⋊C4×C79C2412yes—
836C22⋊C4×C79C2414yes—
837C22⋊C4×C79C2414yes—
838C22⋊C4×C79C2414yes—
839C22⋊C4×C79C2414yes—
840C22⋊C4×C79C2414yes—
841C22⋊C4×C79C2414yes—
842C22⋊C4×C79C2414yes—
843C22⋊C4×C79C2414yes—
844C22⋊C4×C79C2414yes—
845C22⋊C4×C79C2414yes—
846C42×C79C2411yescharacteristic
847C42×C79C2412yes—
848C42×C79C2411yescharacteristic
849C42×C79C2412yes—
850C42×C79C2412yes—
851C42×C79C2414yes—
852C23×C79—24no—
853C23×C79—44no—
854C23×C79—42no—
855C23×C79—44no—
856C23×C79C2512yes—
857C23×C79C2512yes—
858C23×C79C2514yes—
859C23×C79C2511yescharacteristic
860C22×D79—22no—
861C22×D79—24no—
862C22×D79—24no—
863C22×D79—28no—
864C22×D79—28no—
865C22×D79—44no—
866C22×D79—44no—
867C22×D79—44no—
868C22×D79—44no—
869C22×D79—44no—
870C22×D79—42no—
871C22×D79—44no—
872C22×D79—44no—
873C22×D79—44no—
874C22×D79—44no—
875C22×D79—816no—
876C22×D79C2514yes—
877C22×D79C2514yes—
878C22×D79C2512yes—
879Q8×C79—41no—
880Q8×C79—42no—
881Q8×C79—41no—
882Q8×C79—42no—
883Q8×C79—42no—
884D4×C79—28no—
885D4×C79—41no—
886D4×C79—42no—
887D4×C79—41no—
888D4×C79—44no—
889D4×C79—44no—
890D4×C79—44no—
891D4×C79—42no—
892D4×C79—42no—
893C2×C4×C79—22no—
894C2×C4×C79—24no—
895C2×C4×C79—42no—
896C2×C4×C79—44no—
897C2×C4×C79—44no—
898C2×C4×C79—42no—
899C2×C4×C79—44no—
900C2×C4×C79C2512yes—
901C2×C4×C79C2514yes—
902C2×C4×C79C2512yes—
903C2×C4×C79C2512yes—
904C2×C4×C79C2514yes—
905C2×C4×C79C2511yescharacteristic
906C2×C4×C79C2511yescharacteristic
907C2×C4×C79C2514yes—
908C2×C4×C79C2512yes—
909C22⋊D79—28no—
910C22⋊D79—28no—
911C22⋊D79—28no—
912C22⋊D79—28no—
913C22⋊D79—28no—
914C22⋊D79—28no—
915C22⋊D79—44no—
916C22⋊D79—44no—
917C22⋊D79—44no—
918C22⋊D79—44no—
919C22⋊D79—44no—
920C22⋊D79—44no—
921C22⋊D79—44no—
922C22⋊D79—44no—
923C2×Dic79—24no—
924C2×Dic79—28no—
925C2×Dic79—42no—
926C2×Dic79—44no—
927C2×Dic79—42no—
928C2×Dic79—44no—
929C2×Dic79—44no—
930C2×Dic79H(5,𝔽2)14yes—
931C2×Dic79C2512yes—
932C2×Dic79C2512yes—
933C2×Dic79C2514yes—
934C2×Dic79C2514yes—
935C2×Dic79C2514yes—
936C2×Dic79C2514yes—
937C2×Dic79C2512yes—
938D316—28no—
939D316—28no—
940D316—42no—
941D316—42no—
942D316—44no—
943D316—44no—
944D316—44no—
945D316—42no—
946D316—42no—
947C4×D79—24no—
948C4×D79—24no—
949C4×D79—24no—
950C4×D79—24no—
951C4×D79—28no—
952C4×D79—42no—
953C4×D79—42no—
954C4×D79—44no—
955C4×D79—44no—
956C4×D79—44no—
957C4×D79—44no—
958C4×D79—44no—
959C4×D79—44no—
960C4×D79—44no—
961C4×D79—44no—
962C4×D79—44no—
963Dic158—28no—
964Dic158—28no—
965Dic158—28no—
966Dic158—42no—
967Dic158—42no—
968Dic158—44no—
969Dic158—42no—
970Dic158—42no—
971Dic158—44no—
972C22×C79—22no—
973C22×C79—22no—
974C22×C79—22no—
975C22×C79—24no—
976C22×C79—24no—
977C22×C79—24no—
978C22×C79—24no—
979C22×C79—24no—
980C22×C79—84no—
981C22×C79—162no—
982C22×C79C2×H(5,𝔽2)12yes—
983C22×C79C2611yescharacteristic
984C2×D79—28no—
985C2×D79—22no—
986C2×D79—22no—
987C2×D79—24no—
988C2×D79—24no—
989C2×D79—24no—
990C2×D79—24no—
991C2×D79—24no—
992C2×D79—24no—
993C2×D79—88no—
994C2×D79—88no—
995C2×D79—84no—
996C2×D79—164no—
997C2×D79—162no—
998C2×D79#58514yes—
999C4×C79—22no—
1000C4×C79—21no—
1001C4×C79—21no—
1002C4×C79—22no—
1003C4×C79—24no—
1004C4×C79—22no—
1005C4×C79—24no—
1006C4×C79—22no—
1007C4×C79—24no—
1008Dic79—24no—
1009Dic79—24no—
1010Dic79—24no—
1011Dic79—24no—
1012Dic79—22no—
1013Dic79—22no—
1014Dic79C2×H(5,𝔽2)14yes—
1015#62824—791nomaximal, Sylow
1016C2×C79—22no—
1017C2×C79—42no—
1018C2×C79—42no—
1019C2×C79—44no—
1020C2×C79C22×H(5,𝔽2)11yescharacteristic
1021C2×C79C2×#58512yes—
1022D79—24no—
1023D79—44no—
1024D79—44no—
1025#3561—792no—
1026#3561—792no—
1027#3561—794no—
1028#3558—792no—
1029#3558—792no—
1030#3558—794no—
1031#3545—792no—
1032#3545—792no—
1033#3545—792no—
1034#3545—791no—
1035#3545D7911yescharacteristic, complemented
1036#3514—794no—
1037#3514—794no—
1038#3514—794no—
1039#3514—794no—
1040#3510—794no—
1041#3500—794no—
1042#3490—794no—
1043#3490—794no—
1044#3486—792no—
1045#3484—792no—
1046#3444—792no—
1047C22×#124—791no—
1048C79#6282411yescharacteristic, complemented, Sylow
1049C2×2−1+4—792no—
1050C2×H(5,𝔽2)—792no—
1051C23×Q8—791no—
1052C23×D4—791no—
1053#563—792no—
1054#563—792no—
1055#563—791no—
1056#563—792no—
1057#563C2×D7911yescharacteristic, complemented
1058#562—792no—
1059#562—792no—
1060#562—792no—
1061#562—794no—
1062#562—794no—
1063#562C2×D7912yescomplemented
1064H(3,𝔽4)—791no—
1065H(3,𝔽4)—792no—
1066H(3,𝔽4)—792no—
1067H(3,𝔽4)—792no—
1068H(3,𝔽4)C2×D7911yescharacteristic, complemented
1069#559—794no—
1070#559—794no—
1071#559—794no—
1072#559—794no—
1073#556—794no—
1074#556—794no—
1075#556—794no—
1076#556—794no—
1077#555—792no—
1078#555—792no—
1079#555—792no—
1080#555—794no—
1081#555—794no—
1082#555C2×D7912yescomplemented
1083#551—794no—
1084#551—794no—
1085#551—792no—
1086#551—794no—
1087#551—794no—
1088#551—792no—
1089#551—794no—
1090#551—794no—
1091#551—794no—
1092#551—794no—
1093#551—794no—
1094#551—794no—
1095#551—792no—
1096#551—794no—
1097#551—794no—
1098#551—794no—
1099#551—794no—
1100#551—794no—
1101#551—794no—
1102#551—794no—
1103#551C2×D7914yescomplemented
1104#551C2×D7912yescomplemented
1105D4×Q8—794no—
1106D4×Q8—794no—
1107D4×Q8—794no—
1108D4×Q8—794no—
1109#548—794no—
1110#548—794no—
1111#548—794no—
1112#548—794no—
1113#548—794no—
1114#548—794no—
1115#548—794no—
1116#548—794no—
1117#546—794no—
1118#546—794no—
1119#546—794no—
1120#546—794no—
1121#546—794no—
1122#546—794no—
1123#546—794no—
1124#546—794no—
1125#546—794no—
1126#546—794no—
1127#546—794no—
1128#546—794no—
1129#546—794no—
1130#546—794no—
1131#546—794no—
1132#546—794no—
1133#546—794no—
1134#546—794no—
1135#546—794no—
1136#546—794no—
1137#546—794no—
1138#546—794no—
1139#546—794no—
1140#546C2×D7914yescomplemented
1141D42—794no—
1142D42—794no—
1143D42—794no—
1144D42—794no—
1145#543—794no—
1146#543—794no—
1147#542—794no—
1148#542—794no—
1149#542—794no—
1150#542—794no—
1151#542—794no—
1152#542—794no—
1153#542—794no—
1154#542—794no—
1155#542—794no—
1156#542—794no—
1157#542—794no—
1158#542C2×D7914yescomplemented
1159#538—794no—
1160#538—794no—
1161#538—794no—
1162#538—794no—
1163#538—794no—
1164#538—794no—
1165#538—794no—
1166#538—794no—
1167#538—794no—
1168#538—794no—
1169#538—794no—
1170#538—794no—
1171#538—794no—
1172#538—794no—
1173#538—794no—
1174#538C2×D7914yescomplemented
1175#536—792no—
1176#536—794no—
1177#536—794no—
1178#536—794no—
1179#536—794no—
1180#536C2×D7912yescomplemented
1181#535—794no—
1182#535—794no—
1183#535—794no—
1184#534—792no—
1185#534—794no—
1186#534—794no—
1187#534—794no—
1188#534C2×D7912yescomplemented
1189#533—792no—
1190#533—792no—
1191#533—792no—
1192#532—792no—
1193#532—792no—
1194#532—794no—
1195#532—792no—
1196#532—794no—
1197#529—794no—
1198#529—794no—
1199#529—794no—
1200#529—792no—
1201#529—792no—
1202#529—794no—
1203#529—794no—
1204#529—794no—
1205#529—794no—
1206#529—794no—
1207#529—792no—
1208#529C2×D7912yescomplemented
1209C2×#124—791no—
1210C2×#124—791no—
1211C2×#124—792no—
1212C2×#124—792no—
1213C2×#124—794no—
1214C2×#124—792no—
1215C2×#124—792no—
1216C2×#124—794no—
1217C2×#124—794no—
1218C2×#124—794no—
1219C2×#124—794no—
1220C2×#124—791no—
1221C2×#124C2×D7911yescharacteristic, complemented
1222#525—792no—
1223#525—794no—
1224#525—794no—
1225#525—792no—
1226#525—792no—
1227#525—794no—
1228#525—792no—
1229C2×#120—792no—
1230C2×#120—794no—
1231C2×#120—792no—
1232#519—792no—
1233#518—794no—
1234#518—794no—
1235#518—794no—
1236#518—792no—
1237#518—794no—
1238C4×#41—792no—
1239C4×#41—794no—
1240C4×#41—792no—
1241C4×#41—794no—
1242C22×C22⋊C4—794no—
1243C22×C42—791no—
1244C25—792no—
12452−1+4—3168no—
1246H(5,𝔽2)—3168no—
1247C2×#41—792no—
1248C2×#41—792no—
1249C2×#41—794no—
1250C2×#41—794no—
1251C2×#41—794no—
1252C2×#41—794no—
1253C2×#41—794no—
1254C2×#41—792no—
1255C2×#41—794no—
1256C2×#41—794no—
1257C2×#41C22×D7912yes—
1258C22×Q8—3164no—
1259C22×Q8—792no—
1260C22×Q8—794no—
1261C22×Q8—792no—
1262C22×Q8—794no—
1263C22×Q8—791no—
1264C22×Q8—794no—
1265C22×Q8—792no—
1266C22×Q8C22×D7911yescharacteristic
1267C22×D4—3164no—
1268C22×D4—794no—
1269C22×D4—792no—
1270C22×D4—794no—
1271C22×D4—794no—
1272C22×D4—794no—
1273C22×D4—794no—
1274C22×D4—792no—
1275C22×D4—794no—
1276C22×D4—792no—
1277C22×D4—794no—
1278C22×D4—792no—
1279C22×D4—794no—
1280C22×D4—791no—
1281C22×D4C22×D7912yes—
1282C22×D4C22×D7911yescharacteristic
1283C23×C4—792no—
1284C23×C4—792no—
1285C23×C4—791no—
1286C4⋊Q8—792no—
1287C4⋊Q8—792no—
1288C4⋊Q8—792no—
1289C4⋊Q8—792no—
1290C4⋊Q8—792no—
1291C4⋊Q8—794no—
1292C4⋊Q8—794no—
1293C4⋊Q8—794no—
1294C4⋊Q8—794no—
1295C4⋊Q8C22×D7912yescomplemented
1296C4⋊Q8C22×D7912yescomplemented
1297#127—792no—
1298#127—794no—
1299#127—794no—
1300#126—794no—
1301#126—794no—
1302#126—794no—
1303#126—794no—
1304#126—794no—
1305#126—794no—
1306#126—794no—
1307#126—794no—
1308#126—794no—
1309#126—794no—
1310#126—794no—
1311#126—794no—
1312#126—794no—
1313#126—794no—
1314#126—794no—
1315#126—794no—
1316#126—794no—
1317#126C22×D7914yescomplemented
1318#126C22×D7914yescomplemented
1319#126C22×D7914yescomplemented
1320#125—794no—
1321#125—794no—
1322#125—792no—
1323#125C22×D7912yescomplemented
1324#124—792no—
1325#124—792no—
1326#124—792no—
1327#124—792no—
1328#124—794no—
1329#124—792no—
1330#124—792no—
1331#124—794no—
1332#124—792no—
1333#124—792no—
1334#124—792no—
1335#124—792no—
1336#124—794no—
1337#124—794no—
1338#124—794no—
1339#124—794no—
1340#124—794no—
1341#124—794no—
1342#124—794no—
1343#124—794no—
1344#124—794no—
1345#124—794no—
1346#124—794no—
1347#124—794no—
1348#124—794no—
1349#124—794no—
1350#124—794no—
1351#124—794no—
1352#124—794no—
1353#124—794no—
1354#124—794no—
1355#124—794no—
1356#124—794no—
1357#124—794no—
1358#124—794no—
1359#124—794no—
1360#124—794no—
1361#124—794no—
1362#124—794no—
1363#124—792no—
1364#124—792no—
1365#124—794no—
1366#124—792no—
1367#124—794no—
1368#124C22×D7914yes—
1369#124C22×D7911yescharacteristic
1370#124C22×D7911yescharacteristic
1371#124C22×D7911yescharacteristic
1372#124C22×D7911yescharacteristic
1373#124C22×D7914yescomplemented
1374#124C22×D7912yescomplemented
1375#124C22×D7912yescomplemented
1376#124C22×D7912yescomplemented
1377#124C22×D7914yescomplemented
1378#123—794no—
1379#123—794no—
1380#123—794no—
1381#123—792no—
1382#123—792no—
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#123C22×D7914yes—
1412#123C22×D7914yes—
1413#123C22×D7912yes—
1414#123C22×D7912yes—
1415#123C22×D7914yescomplemented
1416#123C22×D7914yescomplemented
1417#123C22×D7914yescomplemented
1418C22⋊Q8—792no—
1419C22⋊Q8—794no—
1420C22⋊Q8—794no—
1421C22⋊Q8—794no—
1422C22⋊Q8—794no—
1423C22⋊Q8—794no—
1424C22⋊Q8—792no—
1425C22⋊Q8—794no—
1426C22⋊Q8—794no—
1427C22⋊Q8—794no—
1428C22⋊Q8—792no—
1429C22⋊Q8—794no—
1430C22⋊Q8—794no—
1431C22⋊Q8—794no—
1432C22⋊Q8—794no—
1433C22⋊Q8—794no—
1434C22⋊Q8—794no—
1435C22⋊Q8—794no—
1436C22⋊Q8—794no—
1437C22⋊Q8—794no—
1438C22⋊Q8—794no—
1439C22⋊Q8—794no—
1440C22⋊Q8—794no—
1441C22⋊Q8—794no—
1442C22⋊Q8—794no—
1443C22⋊Q8—794no—
1444C22⋊Q8—794no—
1445C22⋊Q8—794no—
1446C22⋊Q8—794no—
1447C22⋊Q8—794no—
1448C22⋊Q8—794no—
1449C22⋊Q8—794no—
1450C22⋊Q8—794no—
1451C22⋊Q8—794no—
1452C22⋊Q8—794no—
1453C22⋊Q8C22×D7912yes—
1454C22⋊Q8C22×D7914yescomplemented
1455C22⋊Q8C22×D7914yescomplemented
1456C22⋊Q8C22×D7914yescomplemented
1457C22⋊Q8C22×D7914yescomplemented
1458#121—792no—
1459#121—794no—
1460#121—794no—
1461#121—794no—
1462#121—794no—
1463#121—794no—
1464#121—794no—
1465#121—794no—
1466#121—794no—
1467#121—794no—
1468#121—794no—
1469#121—794no—
1470#121—794no—
1471#121—792no—
1472#121—794no—
1473#121—794no—
1474#121—792no—
1475#121—794no—
1476#121—794no—
1477#121—794no—
1478#121—794no—
1479#121—794no—
1480#121—794no—
1481#121—794no—
1482#121—794no—
1483#121—794no—
1484#121—794no—
1485#121—794no—
1486#121—794no—
1487#121—794no—
1488#121—794no—
1489#121—794no—
1490#121—794no—
1491#121—794no—
1492#121—794no—
1493#121C22×D7912yes—
1494#121C22×D7914yes—
1495#121C22×D7914yes—
1496#121C22×D7914yescomplemented
1497#121C22×D7914yescomplemented
1498#120—794no—
1499#120—794no—
1500#120—794no—
1501#120—794no—
1502#120—794no—
1503#120—794no—
1504#120—794no—
1505#120—794no—
1506#120—794no—
1507#120—794no—
1508#120—794no—
1509#120—792no—
1510#120—792no—
1511#120—794no—
1512#120—794no—
1513#120—794no—
1514#120—794no—
1515#120—794no—
1516#120—794no—
1517#120—794no—
1518#120—794no—
1519#120—794no—
1520#120—794no—
1521#120—794no—
1522#120C22×D7914yes—
1523#120C22×D7912yes—
1524#120C22×D7912yes—
1525#120C22×D7914yescomplemented
1526C4×Q8—792no—
1527C4×Q8—794no—
1528C4×Q8—794no—
1529C4×Q8—792no—
1530C4×Q8—794no—
1531C4×Q8—794no—
1532C4×Q8—794no—
1533C4×Q8—792no—
1534C4×Q8—794no—
1535C4×Q8—794no—
1536C4×Q8—794no—
1537C4×Q8C22×D7912yescomplemented
1538C4×D4—794no—
1539C4×D4—792no—
1540C4×D4—794no—
1541C4×D4—794no—
1542C4×D4—794no—
1543C4×D4—794no—
1544C4×D4—794no—
1545C4×D4—794no—
1546C4×D4—794no—
1547C4×D4—794no—
1548C4×D4—794no—
1549C4×D4—794no—
1550C4×D4—794no—
1551C4×D4—794no—
1552C4×D4—794no—
1553C4×D4—794no—
1554C4×D4—794no—
1555C4×D4—794no—
1556C4×D4—792no—
1557C4×D4—794no—
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—792no—
1578C4×D4—794no—
1579C4×D4—794no—
1580C4×D4—794no—
1581C4×D4—794no—
1582C4×D4C22×D7914yes—
1583C4×D4C22×D7912yescomplemented
1584C4×D4C22×D7914yescomplemented
1585C4×D4C22×D7914yescomplemented
1586#117—794no—
1587#117—792no—
1588#117—792no—
1589#117—792no—
1590#117—794no—
1591#117—794no—
1592#117—794no—
1593#117—794no—
1594#117—794no—
1595#117—794no—
1596#117—794no—
1597#117—794no—
1598#117—794no—
1599#117—794no—
1600#117—794no—
1601#117—794no—
1602#117—794no—
1603#117—794no—
1604#117C22×D7912yes—
1605#117C22×D7914yescomplemented
1606#117C22×D7914yescomplemented
1607C2×C22⋊C4—794no—
1608C2×C22⋊C4—792no—
1609C2×C22⋊C4—794no—
1610C2×C22⋊C4—794no—
1611C2×C22⋊C4—794no—
1612C2×C22⋊C4—794no—
1613C2×C22⋊C4—794no—
1614C2×C22⋊C4—794no—
1615C2×C22⋊C4—794no—
1616C2×C22⋊C4—794no—
1617C2×C22⋊C4—794no—
1618C2×C22⋊C4—794no—
1619C2×C22⋊C4—794no—
1620C2×C22⋊C4—794no—
1621C2×C22⋊C4—794no—
1622C2×C22⋊C4—794no—
1623C2×C22⋊C4—794no—
1624C2×C22⋊C4—794no—
1625C2×C22⋊C4—794no—
1626C2×C22⋊C4—794no—
1627C2×C22⋊C4—794no—
1628C2×C22⋊C4—794no—
1629C2×C22⋊C4—794no—
1630C2×C22⋊C4—794no—
1631C2×C22⋊C4C22×D7914yes—
1632C2×C22⋊C4C22×D7912yes—
1633C2×C22⋊C4C22×D7914yescomplemented
1634C2×C42—794no—
1635C2×C42—792no—
1636C2×C42—791no—
1637C2×C42—794no—
1638C2×C42—792no—
1639C2×C42—792no—
1640C2×C42—792no—
1641C2×C42—792no—
1642C2×C42C22×D7911yescharacteristic
1643C24—3164no—
1644C24—3168no—
1645C24—794no—
1646C24—792no—
1647C24—794no—
1648C24—794no—
1649C24—792no—
1650C24—791no—
1651C24C23×D7912yes—
1652C24C23×D7912yes—
1653#41—44no—
1654#41—3164no—
1655#41—3168no—
1656#41—3168no—
1657#41—3168no—
1658#41—3168no—
1659#41—3168no—
1660#41—3168no—
1661#41—3164no—
1662#41—3164no—
1663#41—15816no—
1664C2×Q8—42no—
1665C2×Q8—3162no—
1666C2×Q8—3168no—
1667C2×Q8—3164no—
1668C2×Q8—3168no—
1669C2×Q8—3164no—
1670C2×Q8—3168no—
1671C2×Q8—794no—
1672C2×Q8—792no—
1673C2×Q8—794no—
1674C2×Q8—792no—
1675C2×Q8—792no—
1676C2×Q8—792no—
1677C2×Q8—794no—
1678C2×Q8—794no—
1679C2×Q8—794no—
1680C2×Q8—1588no—
1681C2×Q8C23×D7912yes—
1682C2×Q8C23×D7912yes—
1683C2×Q8C23×D7911yescharacteristic
1684C2×Q8C23×D7912yes—
1685C2×Q8C23×D7911yescharacteristic
1686C2×D4—42no—
1687C2×D4—44no—
1688C2×D4—3162no—
1689C2×D4—3168no—
1690C2×D4—3168no—
1691C2×D4—3168no—
1692C2×D4—3168no—
1693C2×D4—3164no—
1694C2×D4—3168no—
1695C2×D4—3164no—
1696C2×D4—3168no—
1697C2×D4—3164no—
1698C2×D4—3168no—
1699C2×D4—3168no—
1700C2×D4—794no—
1701C2×D4—794no—
1702C2×D4—794no—
1703C2×D4—794no—
1704C2×D4—794no—
1705C2×D4—794no—
1706C2×D4—794no—
1707C2×D4—794no—
1708C2×D4—794no—
1709C2×D4—794no—
1710C2×D4—794no—
1711C2×D4—794no—
1712C2×D4—794no—
1713C2×D4—794no—
1714C2×D4—792no—
1715C2×D4—794no—
1716C2×D4—794no—
1717C2×D4—792no—
1718C2×D4—794no—
1719C2×D4—792no—
1720C2×D4—792no—
1721C2×D4—794no—
1722C2×D4—794no—
1723C2×D4—1588no—
1724C2×D4C23×D7914yes—
1725C2×D4C23×D7914yes—
1726C2×D4C23×D7912yes—
1727C2×D4C23×D7914yes—
1728C2×D4C23×D7912yes—
1729C2×D4C23×D7914yes—
1730C2×D4C23×D7911yescharacteristic
1731C2×D4C23×D7912yes—
1732C2×D4C23×D7911yescharacteristic
1733C22×C4—3164no—
1734C22×C4—3164no—
1735C22×C4—792no—
1736C22×C4—794no—
1737C22×C4—794no—
1738C22×C4—794no—
1739C22×C4—792no—
1740C22×C4—792no—
1741C22×C4—792no—
1742C22×C4—794no—
1743C22×C4—794no—
1744C22×C4—794no—
1745C22×C4—794no—
1746C22×C4—794no—
1747C22×C4—794no—
1748C22×C4—794no—
1749C22×C4—794no—
1750C22×C4—794no—
1751C22×C4—791no—
1752C22×C4—794no—
1753C22×C4—792no—
1754C22×C4—792no—
1755C22×C4—792no—
1756C22×C4—792no—
1757C22×C4—792no—
1758C22×C4—794no—
1759C22×C4—1584no—
1760C22×C4C23×D7911yescharacteristic
1761C22×C4C23×D7912yes—
1762C22×C4C23×D7912yes—
1763C22×C4C23×D7914yes—
1764C22×C4C23×D7912yes—
1765C22×C4C23×D7914yes—
1766C22×C4C23×D7914yes—
1767C4⋊C4—794no—
1768C4⋊C4—794no—
1769C4⋊C4—794no—
1770C4⋊C4—794no—
1771C4⋊C4—794no—
1772C4⋊C4—794no—
1773C4⋊C4—794no—
1774C4⋊C4—794no—
1775C4⋊C4—794no—
1776C4⋊C4—794no—
1777C4⋊C4—794no—
1778C4⋊C4—794no—
1779C4⋊C4—794no—
1780C4⋊C4—794no—
1781C4⋊C4—794no—
1782C4⋊C4—794no—
1783C4⋊C4—794no—
1784C4⋊C4—794no—
1785C4⋊C4—794no—
1786C4⋊C4—794no—
1787C4⋊C4—792no—
1788C4⋊C4—792no—
1789C4⋊C4—794no—
1790C4⋊C4C23×D7914yes—
1791C4⋊C4C23×D7914yes—
1792C4⋊C4C23×D7914yes—
1793C4⋊C4C23×D7912yes—
1794C4⋊C4C23×D7914yes—
1795C4⋊C4C23×D7912yes—
1796C4⋊C4C23×D7914yes—
1797C4⋊C4C23×D7914yes—
1798C4⋊C4C23×D7914yes—
1799C22⋊C4—794no—
1800C22⋊C4—794no—
1801C22⋊C4—794no—
1802C22⋊C4—794no—
1803C22⋊C4—794no—
1804C22⋊C4—794no—
1805C22⋊C4—794no—
1806C22⋊C4—794no—
1807C22⋊C4—792no—
1808C22⋊C4—792no—
1809C22⋊C4—794no—
1810C22⋊C4—794no—
1811C22⋊C4—794no—
1812C22⋊C4—794no—
1813C22⋊C4—794no—
1814C22⋊C4—794no—
1815C22⋊C4—794no—
1816C22⋊C4—794no—
1817C22⋊C4—794no—
1818C22⋊C4—794no—
1819C22⋊C4—794no—
1820C22⋊C4—794no—
1821C22⋊C4—794no—
1822C22⋊C4—794no—
1823C22⋊C4—794no—
1824C22⋊C4—794no—
1825C22⋊C4—794no—
1826C22⋊C4—794no—
1827C22⋊C4—794no—
1828C22⋊C4—794no—
1829C22⋊C4—794no—
1830C22⋊C4—794no—
1831C22⋊C4—794no—
1832C22⋊C4—794no—
1833C22⋊C4—794no—
1834C22⋊C4—794no—
1835C22⋊C4—794no—
1836C22⋊C4—794no—
1837C22⋊C4—794no—
1838C22⋊C4—794no—
1839C22⋊C4—794no—
1840C22⋊C4C23×D7914yes—
1841C22⋊C4C23×D7914yes—
1842C22⋊C4C23×D7914yes—
1843C22⋊C4C23×D7914yes—
1844C22⋊C4C23×D7914yes—
1845C22⋊C4C23×D7914yes—
1846C22⋊C4C23×D7914yes—
1847C22⋊C4C23×D7914yes—
1848C22⋊C4C23×D7914yes—
1849C22⋊C4C23×D7912yes—
1850C22⋊C4C23×D7912yes—
1851C22⋊C4C23×D7914yes—
1852C22⋊C4C23×D7914yes—
1853C22⋊C4C23×D7914yes—
1854C22⋊C4C23×D7914yes—
1855C42—792no—
1856C42—791no—
1857C42—792no—
1858C42—792no—
1859C42—792no—
1860C42—792no—
1861C42—791no—
1862C42—794no—
1863C42—794no—
1864C42—794no—
1865C42—794no—
1866C42—794no—
1867C42—792no—
1868C42—792no—
1869C42—794no—
1870C42—794no—
1871C42C23×D7911yescharacteristic
1872C42C23×D7912yes—
1873C42C23×D7911yescharacteristic
1874C42C23×D7914yes—
1875C42C23×D7912yes—
1876C42C23×D7912yes—
1877C23—24no—
1878C23—44no—
1879C23—42no—
1880C23—44no—
1881C23—3164no—
1882C23—3164no—
1883C23—3164no—
1884C23—3164no—
1885C23—3164no—
1886C23—3164no—
1887C23—3162no—
1888C23—3164no—
1889C23—3164no—
1890C23—3164no—
1891C23—792no—
1892C23—794no—
1893C23—794no—
1894C23—63216no—
1895C23—1588no—
1896C23—1588no—
1897C23—1584no—
1898C23—1584no—
1899C23—1582no—
1900C23C24×D7912yes—
1901C23C24×D7912yes—
1902C23C24×D7914yes—
1903C23C24×D7911yescharacteristic
1904Q8—41no—
1905Q8—42no—
1906Q8—41no—
1907Q8—42no—
1908Q8—42no—
1909Q8—3162no—
1910Q8—3162no—
1911Q8—3162no—
1912Q8—3164no—
1913Q8—3164no—
1914Q8—3162no—
1915Q8—1588no—
1916Q8—1588no—
1917Q8—1588no—
1918D4—28no—
1919D4—41no—
1920D4—42no—
1921D4—41no—
1922D4—44no—
1923D4—44no—
1924D4—44no—
1925D4—42no—
1926D4—42no—
1927D4—3162no—
1928D4—3162no—
1929D4—3164no—
1930D4—3164no—
1931D4—3164no—
1932D4—3162no—
1933D4—3162no—
1934D4—3164no—
1935D4—3164no—
1936D4—3164no—
1937D4—3164no—
1938D4—3164no—
1939D4—3164no—
1940D4—3164no—
1941D4—3164no—
1942D4—1588no—
1943D4—1588no—
1944D4—1588no—
1945D4—1588no—
1946D4—1588no—
1947D4—1588no—
1948D4—1588no—
1949D4—1588no—
1950C2×C4—24no—
1951C2×C4—22no—
1952C2×C4—42no—
1953C2×C4—42no—
1954C2×C4—44no—
1955C2×C4—44no—
1956C2×C4—44no—
1957C2×C4—3164no—
1958C2×C4—3164no—
1959C2×C4—3162no—
1960C2×C4—3162no—
1961C2×C4—3164no—
1962C2×C4—3164no—
1963C2×C4—3164no—
1964C2×C4—3164no—
1965C2×C4—3164no—
1966C2×C4—3164no—
1967C2×C4—3164no—
1968C2×C4—3162no—
1969C2×C4—3162no—
1970C2×C4—3164no—
1971C2×C4—3164no—
1972C2×C4—3164no—
1973C2×C4—794no—
1974C2×C4—792no—
1975C2×C4—792no—
1976C2×C4—792no—
1977C2×C4—794no—
1978C2×C4—794no—
1979C2×C4—794no—
1980C2×C4—794no—
1981C2×C4—1584no—
1982C2×C4—1584no—
1983C2×C4—1588no—
1984C2×C4—1584no—
1985C2×C4—1584no—
1986C2×C4—1588no—
1987C2×C4—1584no—
1988C2×C4C24×D7912yes—
1989C2×C4C24×D7914yes—
1990C2×C4C24×D7912yes—
1991C2×C4C24×D7914yes—
1992C2×C4C24×D7911yescharacteristic
1993C2×C4C24×D7911yescharacteristic
1994C2×C4C24×D7912yes—
1995C2×C4C24×D7914yes—
1996C2×C4C24×D7912yes—
1997C22—22no—
1998C22—24no—
1999C22—22no—
2000C22—22no—
2001C22—24no—
2002C22—24no—
2003C22—24no—
2004C22—24no—
2005C22—84no—
2006C22—162no—
2007C22—794no—
2008C22—6324no—
2009C22—6328no—
2010C22—6328no—
2011C22—1588no—
2012C22—1584no—
2013C22—1584no—
2014C22—1584no—
2015C22—1584no—
2016C22—1584no—
2017C22—1584no—
2018C22—1582no—
2019C22—1582no—
2020C22—12642no—
2021C22—12644no—
2022C22H(5,𝔽2)×D7912yes—
2023C22C25×D7911yescharacteristic
2024C4—22no—
2025C4—22no—
2026C4—21no—
2027C4—21no—
2028C4—24no—
2029C4—22no—
2030C4—24no—
2031C4—24no—
2032C4—22no—
2033C4—794no—
2034C4—1584no—
2035C4—1584no—
2036C4—1582no—
2037C4—1584no—
2038C4—1584no—
2039C4—1582no—
2040C2—22no—
2041C2—42no—
2042C2—42no—
2043C2—44no—
2044C2—3164no—
2045C2—3164no—
2046C2—1584no—
2047C2C2×H(5,𝔽2)×D7911yescharacteristic
2048C2#585×D7912yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3545C2
hypercenter#3545D79
hypocenterC79#62824
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3545

Complements

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

NH ≅ G/Ntype
1. #23777968C2semidirect
2. #23777964C2semidirect
3. #23777962C2semidirect
4. #23777922C2semidirect
5. #23777913C2semidirect
6. #23777911C2semidirect
7. #23777757C2semidirect
8. #23777754C2semidirect
9. #23777752C2semidirect
10. #23777749C2semidirect
11. #23777359C2semidirect
12. #23777357C2semidirect
13. #23777353C2semidirect
14. #23777350C2semidirect
15. #23777288C2semidirect
16. #23777186C2semidirect
17. #23777084C2semidirect
18. #23777082C2semidirect
19. #23777049C2semidirect
20. #23777032C2semidirect
21. #23776694C2semidirect
22. C2×#124×D79C2semidirect
23. C79×#3545C2semidirect
24. C2×#14579208C22semidirect
25. C2×#14579206C22semidirect
26. C22×Q8×D79C22semidirect
28. #19099317C22semidirect
29. #19099316C22semidirect
30. #19099313C22semidirect
31. #19099312C22semidirect
32. #19099311C22semidirect
33. #19099309C22semidirect
34. #19099308C22semidirect
35. #19099307C22semidirect
36. #19099307C22semidirect
37. #19099306C22semidirect
38. #19099305C22semidirect
39. #19099305C22semidirect
40. #19099305C22semidirect
41. #19099297C22semidirect
42. #19099297C22semidirect
43. #19099296C22semidirect
44. #19099295C22semidirect
45. #19099284C22semidirect
46. #19099281C22semidirect
47. #19099280C22semidirect
48. #19099280C22semidirect
49. #19099279C22semidirect
50. #19099277C22semidirect
51. #19099276C22semidirect
52. #19099275C22semidirect
53. #19099275C22semidirect
54. #19099244C22semidirect
55. #19099244C22semidirect
56. #19099243C22semidirect
57. #19099243C22semidirect
58. #19099242C22semidirect
59. #19099242C22semidirect
60. #19099241C22semidirect
61. #19099241C22semidirect
62. #19099240C22semidirect
63. #19099240C22semidirect
64. #19099240C22semidirect
65. #19099239C22semidirect
66. #19099239C22semidirect
67. #19099238C22semidirect
68. #19099238C22semidirect
69. #19099237C22semidirect
70. #19099237C22semidirect
71. #19099237C22semidirect
72. #19099236C22semidirect
73. #19099236C22semidirect
74. #19099228C22semidirect
75. #19099228C22semidirect
76. #19099226C22semidirect
77. #19099226C22semidirect
78. #19099223C22semidirect
79. #19099223C22semidirect
80. #19099223C22semidirect
81. #19099222C22semidirect
82. #19099221C22semidirect
83. #19099221C22semidirect
84. #19099221C22semidirect
85. #19099219C22semidirect
86. #19099210C22semidirect
87. #19099209C22semidirect
88. #19099208C22semidirect
89. #19099207C22semidirect
90. #19099206C22semidirect
91. #19099205C22semidirect
92. #19099205C22semidirect
93. #19099205C22semidirect
94. #19099205C22semidirect
95. #19099205C22semidirect
96. #19099204C22semidirect
97. #19099203C22semidirect
98. #19099203C22semidirect
99. #19099203C22semidirect
100. #19099202C22semidirect
101. #19099202C22semidirect
102. #19099202C22semidirect
103. #19099202C22semidirect
104. #19099202C22semidirect
105. #19099201C22semidirect
106. #19099200C22semidirect
107. #19099200C22semidirect
108. #19099200C22semidirect
109. #19099197C22semidirect
110. #19099197C22semidirect
111. #19099195C22semidirect
112. #19099195C22semidirect
113. #19099188C22semidirect
114. #19099188C22semidirect
115. #19099187C22semidirect
116. #19099185C22semidirect
117. #19099183C22semidirect
118. #19099183C22semidirect
119. #19099181C22semidirect
120. #19099181C22semidirect
121. #19099180C22semidirect
122. #19099179C22semidirect
123. #19099179C22semidirect
124. #19099177C22semidirect
125. #19099177C22semidirect
126. #19099153C22semidirect
127. #19099152C22semidirect
128. #19099152C22semidirect
129. #19099152C22semidirect
130. #19099149C22semidirect
131. #19099149C22semidirect
132. #19099148C22semidirect
133. #19099147C22semidirect
134. #19099147C22semidirect
135. #19099147C22semidirect
136. #19099147C22semidirect
137. #19099146C22semidirect
138. #19099145C22semidirect
139. #19099145C22semidirect
140. #19099145C22semidirect
141. #19099137C22semidirect
142. #19099136C22semidirect
143. #19099135C22semidirect
144. #19099135C22semidirect
145. #19099135C22semidirect
146. #19099129C22semidirect
148. #19099128C22semidirect
149. #19099124C22semidirect
150. #19099124C22semidirect
151. #19099123C22semidirect
152. #19099122C22semidirect
153. #19099119C22semidirect
154. #19099117C22semidirect
155. #19099115C22semidirect
156. #19099112C22semidirect
157. #19099110C22semidirect
158. #19099110C22semidirect
159. #19099108C22semidirect
160. #19099108C22semidirect
161. #19099098C22semidirect
162. #19099097C22semidirect
163. #19099096C22semidirect
164. #19099096C22semidirect
165. #19099096C22semidirect
166. #19099093C22semidirect
167. #19099092C22semidirect
168. #19099091C22semidirect
169. #19099091C22semidirect
170. #19099090C22semidirect
171. #19099090C22semidirect
172. C2×#14579150C22semidirect
173. C2×#14579149C22semidirect
174. C2×#14579148C22semidirect
175. C2×#14579147C22semidirect
176. C2×#14579147C22semidirect
177. #124×D79C22semidirect
178. #124×D79C22semidirect
179. #124×D79C22semidirect
180. #124×D79C22semidirect
181. #124×D79C22semidirect
182. #124×D79C22semidirect
183. #124×D79C22semidirect
184. #19099076C22semidirect
185. #19099075C22semidirect
186. #19099073C22semidirect
187. #19099072C22semidirect
188. #19099071C22semidirect
189. #19099071C22semidirect
190. #19099070C22semidirect
191. C2×#14579131C22semidirect
192. C2×#14579129C22semidirect
193. #120×D79C22semidirect
194. #19099040C22semidirect
195. #19099037C22semidirect
196. #19099036C22semidirect
197. #19099036C22semidirect
198. #19099035C22semidirect
199. #19099035C22semidirect
200. C4×#11929625C22semidirect
201. #19099031C22semidirect
202. C4×#11929623C22semidirect
203. C4×#11929623C22semidirect
204. C2×C22⋊C4×D79C22semidirect
205. C2×C42×D79C22semidirect
206. #563×C79C22semidirect
207. #562×C79C22semidirect
208. H(3,𝔽4)×C79C22semidirect
209. #555×C79C22semidirect
210. #551×C79C22semidirect
211. #551×C79C22semidirect
212. #546×C79C22semidirect
213. #542×C79C22semidirect
214. #538×C79C22semidirect
215. #536×C79C22semidirect
216. #534×C79C22semidirect
217. #529×C79C22semidirect
218. C2×#124×C79C22semidirect
226. C2×#11929624C23semidirect
231. C2×#11929623C23semidirect
234. C22×Dic158C23semidirect
239. C2×Q8×D79C23semidirect
257. #14579160C23semidirect
258. #14579160C23semidirect
259. #14579160C23semidirect
260. #14579160C23semidirect
261. #14579160C23semidirect
262. #14579160C23semidirect
263. #14579159C23semidirect
264. #14579159C23semidirect
265. #14579159C23semidirect
268. #14579157C23semidirect
269. #14579156C23semidirect
270. #14579156C23semidirect
271. #14579156C23semidirect
272. #14579156C23semidirect
273. #14579156C23semidirect
274. #14579156C23semidirect
275. #14579156C23semidirect
276. #14579155C23semidirect
277. #14579155C23semidirect
278. #14579155C23semidirect
279. #14579154C23semidirect
280. #14579154C23semidirect
281. #14579154C23semidirect
282. #14579154C23semidirect
283. #14579154C23semidirect
284. #14579154C23semidirect
285. #14579154C23semidirect
286. #14579153C23semidirect
287. #14579151C23semidirect
288. #14579151C23semidirect
293. #14579150C23semidirect
294. #14579150C23semidirect
295. #14579150C23semidirect
296. #14579150C23semidirect
300. #14579149C23semidirect
301. #14579149C23semidirect
302. #14579149C23semidirect
307. #14579148C23semidirect
308. #14579148C23semidirect
319. #14579147C23semidirect
320. #14579147C23semidirect
321. #14579147C23semidirect
322. #14579147C23semidirect
323. #14579147C23semidirect
324. #14579147C23semidirect
325. #14579147C23semidirect
326. #14579147C23semidirect
327. #14579147C23semidirect
328. #14579147C23semidirect
329. #14579147C23semidirect
330. #14579147C23semidirect
331. #14579147C23semidirect
332. #14579147C23semidirect
337. #14579146C23semidirect
338. #14579146C23semidirect
339. #14579146C23semidirect
340. #14579146C23semidirect
341. #14579146C23semidirect
342. #14579146C23semidirect
344. #14579145C23semidirect
345. #14579145C23semidirect
346. #14579145C23semidirect
349. #14579144C23semidirect
350. #14579144C23semidirect
351. #14579144C23semidirect
354. #14579143C23semidirect
355. #14579143C23semidirect
356. #14579143C23semidirect
357. #14579143C23semidirect
358. #14579143C23semidirect
359. #14579143C23semidirect
363. #14579142C23semidirect
364. #14579142C23semidirect
365. #14579142C23semidirect
368. #14579141C23semidirect
369. #14579141C23semidirect
371. #14579140C23semidirect
372. #14579140C23semidirect
378. #14579139C23semidirect
379. #14579139C23semidirect
380. #14579139C23semidirect
381. #14579139C23semidirect
382. #14579139C23semidirect
383. #14579139C23semidirect
384. #14579139C23semidirect
385. #14579139C23semidirect
387. #14579138C23semidirect
388. #14579138C23semidirect
389. #14579138C23semidirect
390. #14579138C23semidirect
391. #14579138C23semidirect
392. #14579138C23semidirect
393. #14579138C23semidirect
394. #14579138C23semidirect
397. #14579137C23semidirect
398. #14579137C23semidirect
399. #14579137C23semidirect
400. #14579137C23semidirect
405. #14579136C23semidirect
406. #14579136C23semidirect
408. #14579135C23semidirect
409. #14579135C23semidirect
419. #14579134C23semidirect
420. #14579134C23semidirect
421. #14579134C23semidirect
422. #14579134C23semidirect
428. #14579133C23semidirect
429. #14579133C23semidirect
430. #14579133C23semidirect
431. #14579133C23semidirect
434. #14579132C23semidirect
435. #14579132C23semidirect
444. #14579131C23semidirect
445. #14579131C23semidirect
446. #14579131C23semidirect
448. #14579130C23semidirect
457. #14579129C23semidirect
458. #14579129C23semidirect
459. #14579129C23semidirect
460. Q8×Dic79C23semidirect
461. C4×Dic158C23semidirect
462. C4×Dic158C23semidirect
463. C4×Dic158C23semidirect
464. C4×Dic158C23semidirect
465. #14579126C23semidirect
466. #14579126C23semidirect
467. #14579126C23semidirect
468. #14579126C23semidirect
469. #14579126C23semidirect
470. #14579126C23semidirect
474. C4×D316C23semidirect
475. C4×D316C23semidirect
476. C4×D316C23semidirect
478. D4×Dic79C23semidirect
479. D4×Dic79C23semidirect
480. D4×Dic79C23semidirect
486. #14579123C23semidirect
487. #14579123C23semidirect
488. #14579123C23semidirect
495. C4×C22⋊D79C23semidirect
496. C4×C22⋊D79C23semidirect
497. C4×C22⋊D79C23semidirect
498. C4×C22⋊D79C23semidirect
499. C4×C22⋊D79C23semidirect
508. (C22⋊D79)⋊C4C23semidirect
509. (C22⋊D79)⋊C4C23semidirect
510. (C22⋊D79)⋊C4C23semidirect
511. (C22⋊D79)⋊C4C23semidirect
512. (C22⋊D79)⋊C4C23semidirect
513. (C22⋊D79)⋊C4C23semidirect
514. (C22⋊D79)⋊C4C23semidirect
516. #14579120C23semidirect
519. #14579119C23semidirect
520. #14579119C23semidirect
521. #14579119C23semidirect
522. #14579119C23semidirect
524. #14579118C23semidirect
525. #14579118C23semidirect
526. #14579118C23semidirect
529. #14579117C23semidirect
530. #14579117C23semidirect
531. #14579117C23semidirect
532. #14579117C23semidirect
535. C2×C22⋊Dic79C23semidirect
540. C2×(C2×D79)⋊C4C23semidirect
541. C2×(C2×D79)⋊C4C23semidirect
553. C22⋊C4×D79C23semidirect
554. C22⋊C4×D79C23semidirect
555. C22⋊C4×D79C23semidirect
556. C22⋊C4×D79C23semidirect
559. C2×C4×Dic79C23semidirect
564. C42×D79C23semidirect
569. C4⋊Q8×C79C23semidirect
570. C4⋊Q8×C79C23semidirect
571. #126×C79C23semidirect
572. #126×C79C23semidirect
573. #126×C79C23semidirect
574. #125×C79C23semidirect
580. #124×C79C23semidirect
581. #124×C79C23semidirect
582. #124×C79C23semidirect
583. #124×C79C23semidirect
584. #124×C79C23semidirect
589. #123×C79C23semidirect
590. #123×C79C23semidirect
591. #123×C79C23semidirect
593. C22⋊Q8×C79C23semidirect
594. C22⋊Q8×C79C23semidirect
595. C22⋊Q8×C79C23semidirect
596. C22⋊Q8×C79C23semidirect
600. #121×C79C23semidirect
601. #121×C79C23semidirect
605. #120×C79C23semidirect
606. C4×Q8×C79C23semidirect
608. C4×D4×C79C23semidirect
609. C4×D4×C79C23semidirect
610. C4×D4×C79C23semidirect
612. #117×C79C23semidirect
613. #117×C79C23semidirect
616. C2×C22⋊C4×C79C23semidirect
1035. #3545D79semidirect
1048. C79#62824semidirect
1057. #563C2×D79semidirect
1063. #562C2×D79semidirect
1068. H(3,𝔽4)C2×D79semidirect
1082. #555C2×D79semidirect
1103. #551C2×D79semidirect
1104. #551C2×D79semidirect
1140. #546C2×D79semidirect
1158. #542C2×D79semidirect
1174. #538C2×D79semidirect
1180. #536C2×D79semidirect
1188. #534C2×D79semidirect
1208. #529C2×D79semidirect
1221. C2×#124C2×D79semidirect
1295. C4⋊Q8C22×D79semidirect
1296. C4⋊Q8C22×D79semidirect
1317. #126C22×D79semidirect
1318. #126C22×D79semidirect
1319. #126C22×D79semidirect
1323. #125C22×D79semidirect
1373. #124C22×D79semidirect
1374. #124C22×D79semidirect
1375. #124C22×D79semidirect
1376. #124C22×D79semidirect
1377. #124C22×D79semidirect
1415. #123C22×D79semidirect
1416. #123C22×D79semidirect
1417. #123C22×D79semidirect
1454. C22⋊Q8C22×D79semidirect
1455. C22⋊Q8C22×D79semidirect
1456. C22⋊Q8C22×D79semidirect
1457. C22⋊Q8C22×D79semidirect
1496. #121C22×D79semidirect
1497. #121C22×D79semidirect
1525. #120C22×D79semidirect
1537. C4×Q8C22×D79semidirect
1583. C4×D4C22×D79semidirect
1584. C4×D4C22×D79semidirect
1585. C4×D4C22×D79semidirect
1605. #117C22×D79semidirect
1606. #117C22×D79semidirect
1633. C2×C22⋊C4C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237779682
#237779642
#237779622
#237779222
#237779132
#237779112
#237777572
#237777542
#237777522
#237777492
#237773592
#237773572
#237773532
#237773502
#237772882
#237771862
#237770842
#237770822
#237770492
#237770322
#237766942
C2×#124×D792
C79×#35452
#6282479