Finite Group Databasebeta

← #35197078

Subgroups — #35197078

Order 20224.

6636 conjugacy classes of subgroups.

The subgroup lattice has 2128 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778080C214yesmaximal, complemented
2#23778056C214yesmaximal, complemented
3#23778022C214yesmaximal, complemented
4#23777943C214yesmaximal, complemented
5#23777906C211yesmaximal, characteristic, complemented
6#23777822C212yesmaximal, complemented
7#23777648C211yesmaximal, characteristic, complemented
8#23777638C211yesmaximal, characteristic, complemented
9#23777625C212yesmaximal, complemented
10#23777396C212yesmaximal, complemented
11#23777388C212yesmaximal, complemented
12#23777381C212yesmaximal, complemented
13#23777377C212yesmaximal, complemented
14#23777364C212yesmaximal, complemented
15#23777360C212yesmaximal, complemented
16#23777346C214yesmaximal, complemented
17#23777343C212yesmaximal, complemented
18#23777339C212yesmaximal, complemented
19#23777330C214yesmaximal, complemented
20#23777323C211yesmaximal, characteristic, complemented
21#23777319C211yesmaximal, characteristic, complemented
22#23777292C212yesmaximal, complemented
23#23777118C214yesmaximal, complemented
24#23777095C214yesmaximal, complemented
25#23776697C211yesmaximal, characteristic, complemented
26#529×D79C212yesmaximal, complemented
27C79×#3557C211yesmaximal, characteristic, complemented
28#19099315C2214yescomplemented
29#19099315C2214yescomplemented
30#19099312C2214yescomplemented
31#19099310C2214yescomplemented
32#19099307C2214yescomplemented
33#19099304C2214yescomplemented
34#19099301C2214yes—
35#19099298C2212yescomplemented
36#19099297C2214yescomplemented
37#19099295C2214yescomplemented
38#19099291C2212yescomplemented
39#19099286C2214yescomplemented
40#19099286C2212yescomplemented
41#19099284C2214yescomplemented
42#19099280C2214yescomplemented
43#19099280C2214yescomplemented
44#19099278C2214yescomplemented
45#19099276C2214yescomplemented
46#19099276C2214yescomplemented
47#19099274C2214yescomplemented
48#19099274C2212yescomplemented
49#19099273C2212yescomplemented
50#19099273C2212yescomplemented
51#19099267C2214yescomplemented
52#19099266C2212yes—
53#19099266C2212yescomplemented
54#19099266C2214yescomplemented
55#19099266C2214yescomplemented
56#19099264C2214yescomplemented
57#19099264C2214yescomplemented
58#19099264C2214yescomplemented
59#19099263C2212yes—
60#19099263C2212yescomplemented
61#19099261C2214yescomplemented
62#19099260C2214yescomplemented
63#19099258C2214yescomplemented
64#19099258C2214yescomplemented
65#19099256C2214yescomplemented
66#19099254C2212yescomplemented
67#19099254C2214yescomplemented
68#19099254C2212yescomplemented
69#19099251C2214yescomplemented
70#19099251C2212yescomplemented
71#19099251C2212yescomplemented
72#19099250C2214yescomplemented
73#19099248C2214yescomplemented
74#19099247C2214yescomplemented
75#19099247C2214yescomplemented
76#19099246C2214yescomplemented
77#19099245C2214yescomplemented
78#19099245C2214yescomplemented
79#19099245C2214yescomplemented
80#19099245C2214yescomplemented
81#19099243C2214yescomplemented
82#19099243C2214yescomplemented
83#19099242C2214yescomplemented
84#19099240C2214yescomplemented
85#19099240C2214yescomplemented
86#19099240C2214yescomplemented
87#19099238C2214yescomplemented
88#19099238C2214yescomplemented
89#19099238C2214yescomplemented
90#19099238C2214yescomplemented
91#19099237C2214yescomplemented
92#19099236C2214yescomplemented
93#19099236C2214yescomplemented
94#19099236C2214yescomplemented
95Q8×D316C2212yescomplemented
96#19099228C2212yescomplemented
97#19099225C2212yescomplemented
98#19099225C2212yescomplemented
99#19099221C2212yescomplemented
100#19099221C2212yescomplemented
101#19099218C2212yescomplemented
102#19099216C2212yescomplemented
103#19099216C2214yescomplemented
104#19099215C2214yescomplemented
105#19099208C2212yescomplemented
106#19099208C2212yescomplemented
107#19099206C2212yescomplemented
108#19099206C2212yescomplemented
109#19099206C2214yescomplemented
110#19099206C2214yescomplemented
111#19099205C2214yescomplemented
112#19099205C2214yescomplemented
113#19099204C2214yescomplemented
114#19099204C2214yescomplemented
115D4×D316C2212yes—
116#19099198C2212yes—
117#19099197C2214yes—
118#19099193C2214yescomplemented
119#19099188C2214yescomplemented
120#19099187C2212yescomplemented
121#19099187C2214yescomplemented
122#19099186C2214yescomplemented
123#19099184C2212yescomplemented
124#19099183C2214yescomplemented
125#19099183C2214yescomplemented
126#19099182C2212yescomplemented
127#19099182C2214yescomplemented
128#19099176C2214yescomplemented
129#19099176C2211yescharacteristic, complemented
130#19099175C2211yescharacteristic, complemented
131#19099174C2214yescomplemented
132#19099174C2211yescharacteristic, complemented
133#19099173C2214yescomplemented
134#19099170C2214yescomplemented
135#19099169C2211yescharacteristic, complemented
136#19099168C2211yescharacteristic
137#19099167C2211yescharacteristic, complemented
138#19099165C2214yescomplemented
139#19099164C2214yescomplemented
140#19099162C2214yescomplemented
141#19099161C2214yescomplemented
142#19099161C2214yescomplemented
143#19099161C2214yescomplemented
144#19099159C2214yescomplemented
145#19099159C2214yescomplemented
146#19099159C2214yescomplemented
147#19099156C2214yescomplemented
148#19099154C2214yescomplemented
149#19099153C2214yescomplemented
150#19099152C2214yescomplemented
151#19099152C2214yescomplemented
152#19099152C2214yescomplemented
153#19099149C2214yes—
154#19099149C2214yescomplemented
155#19099149C2214yescomplemented
156#19099149C2214yescomplemented
157#19099147C2214yescomplemented
158#19099146C2214yescomplemented
159#19099143C2212yescomplemented
160#19099143C2214yescomplemented
161#19099142C2212yescomplemented
162#19099136C2212yescomplemented
163#19099129C2212yes—
164#19099124C2214yes—
165#19099118C2212yescomplemented
166#19099118C2212yescomplemented
167#19099114C2211yescharacteristic, complemented
168#19099114C2212yescomplemented
169#19099113C2211yescharacteristic, complemented
170#19099111C2211yescharacteristic, complemented
171#19099100C2212yescomplemented
172#19099100C2212yescomplemented
173#19099100C2212yescomplemented
174#19099100C2212yescomplemented
175#19099100C2214yescomplemented
176#19099100C2212yescomplemented
177#19099099C2212yescomplemented
178#19099099C2212yescomplemented
179#19099099C2212yescomplemented
180#19099098C2214yescomplemented
181#19099098C2212yescomplemented
182#19099098C2212yescomplemented
183#19099098C2212yescomplemented
184#19099097C2212yescomplemented
185#19099096C2214yescomplemented
186#19099096C2214yescomplemented
187#19099095C2212yescomplemented
188#19099095C2212yescomplemented
189#19099095C2212yescomplemented
190#19099094C2212yescomplemented
191#19099093C2214yescomplemented
192#19099092C2212yescomplemented
193#19099091C2214yescomplemented
194#19099091C2214yescomplemented
195#19099090C2214yescomplemented
196#126×D79C2214yescomplemented
197#125×D79C2211yescharacteristic, complemented
198#125×D79C2211yescharacteristic, complemented
199#125×D79C2212yescomplemented
200#124×D79C2212yescomplemented
201#124×D79C2212yescomplemented
202#19099076C2212yescomplemented
203#19099076C2214yescomplemented
204#19099076C2212yescomplemented
205#19099075C2211yescharacteristic
206#19099075C2211yescharacteristic, complemented
207#19099072C2214yescomplemented
208C2×#14579146C2214yescomplemented
209#123×D79C2214yescomplemented
210#123×D79C2214yescomplemented
211C22⋊Q8×D79C2212yescomplemented
212#121×D79C2212yes—
213#19099045C2212yescomplemented
214#19099045C2214yescomplemented
215#19099044C2214yescomplemented
216#19099042C2212yescomplemented
217#19099039C2212yescomplemented
218#19099037C2214yescomplemented
219#19099035C2212yescomplemented
220#19099035C2214yescomplemented
221C4×#11929625C2212yescomplemented
222C4×#11929625C2212yescomplemented
223#19099031C2211yescharacteristic, complemented
224#19099031C2211yescharacteristic, complemented
225C4×Q8×D79C2212yescomplemented
226C4×D4×D79C2214yescomplemented
227C4×D4×D79C2212yescomplemented
228#117×D79C2214yescomplemented
229C2×C42×D79C2211yescharacteristic, complemented
230#563×C79C2214yescomplemented
231#559×C79C2212yescomplemented
232#557×C79C2212yescomplemented
233#556×C79C2212yescomplemented
234#554×C79C2212yescomplemented
235#552×C79C2214yescomplemented
236#542×C79C2212yescomplemented
237#542×C79C2214yescomplemented
238#541×C79C2211yescharacteristic, complemented
239#540×C79C2211yescharacteristic
240#539×C79C2214yescomplemented
241#533×C79C2211yescharacteristic, complemented
242#529×C79C2212yescomplemented
243C2×#11929625C2314yes—
244C2×#11929625C2312yes—
245C2×#11929625C2312yes—
246C2×#11929625C2312yes—
247C2×#11929624C2311yescharacteristic
248C2×#11929624C2311yescharacteristic
249C2×#11929624C2314yes—
250C2×#11929623C2312yes—
251C2×Q8×D79C2312yes—
252C2×Q8×D79C2312yes—
253C22×D316C2314yes—
254C2×D4×D79C2314yes—
255C2×D4×D79C2314yes—
256C2×D4×D79C2312yes—
257C2×D4×D79C2312yes—
258C22×C4×D79C2312yes—
259C22×C4×D79C2311yescharacteristic
260C22×C4×D79C2314yes—
261#14579161C2311yescharacteristic
262#14579161C2314yes—
263#14579161C2312yes—
264#14579161C2311yescharacteristic
265#14579160C2314yes—
266#14579160C2314yes—
267#14579159C2314yes—
268#14579158C2311yescharacteristic
269#14579158C2311yescharacteristic
270#14579157C2314yes—
271#14579156C2314yes—
272#14579156C2314yes—
273#14579156C2314yes—
274#14579156C2314yes—
275#14579156C2314yes—
276#14579156C2314yes—
277#14579156C2314yes—
278#14579156C2314yes—
279#14579156C2314yes—
280#14579156C2314yes—
281#14579156C2314yes—
282#14579156C2314yes—
283#14579156C2314yes—
284#14579156C2314yes—
285#14579156C2312yes—
286#14579156C2314yes—
287#14579156C2312yes—
288#14579156C2312yes—
289#14579156C2312yes—
290#14579155C2314yes—
291#14579155C2314yes—
292#14579155C2314yes—
293#14579154C2314yes—
294#14579154C2314yes—
295#14579154C2314yes—
296#14579154C2314yes—
297#14579154C2314yes—
298#14579154C2314yes—
299#14579154C2314yes—
300#14579154C2314yes—
301#14579154C2314yes—
302#14579153C2314yes—
303#14579153C2311yescharacteristic
304#14579153C2311yescharacteristic
305#14579153C2312yes—
306#14579152C2314yes—
307#14579152C2312yes—
308#14579152C2312yes—
309#14579152C2314yes—
310#14579152C2314yes—
311#14579152C2314yes—
312#14579152C2312yes—
313#14579152C2312yes—
314#14579151C2314yes—
315#14579151C2314yes—
316#14579151C2314yes—
317#14579151C2314yes—
318#14579151C2314yes—
319#14579151C2314yes—
320#14579151C2314yes—
321#14579151C2314yes—
322#14579151C2314yes—
323#14579151C2314yes—
324#14579150C2312yes—
325#14579150C2312yes—
326#14579150C2314yes—
327#14579150C2314yes—
328#14579150C2312yes—
329#14579149C2314yes—
330#14579149C2314yes—
331#14579149C2312yes—
332#14579149C2312yes—
333#14579149C2311yescharacteristic
334#14579149C2311yescharacteristic
335#14579148C2312yes—
336#14579147C2314yes—
337#14579147C2314yes—
338#14579147C2314yes—
339#14579147C2314yes—
340#14579147C2314yes—
341#14579147C2314yes—
342#14579147C2314yes—
343#14579147C2314yes—
344#14579147C2314yes—
345#14579147C2314yes—
346#14579146C2314yes—
347#14579146C2314yes—
348#14579146C2314yes—
349#14579146C2314yes—
350#14579146C2314yes—
351#14579146C2314yes—
352#14579146C2314yes—
353#14579146C2314yes—
354#14579146C2314yes—
355#14579146C2314yes—
356#14579146C2314yes—
357#14579146C2314yes—
358#14579146C2314yes—
359#14579146C2314yes—
360#14579146C2314yes—
361#14579146C2314yes—
362#14579146C2314yes—
363#14579146C2312yes—
364#14579146C2314yes—
365#14579146C2312yes—
366#14579146C2312yes—
367#14579146C2312yes—
368#14579145C2314yes—
369#14579145C2314yes—
370#14579145C2314yes—
371#14579145C2314yes—
372#14579145C2312yes—
373#14579145C2311yescharacteristic
374#14579145C2311yescharacteristic
375#14579144C2314yes—
376#14579144C2314yes—
377#14579144C2314yes—
378#14579143C2314yes—
379#14579143C2314yes—
380#14579143C2314yes—
381#14579143C2314yes—
382#14579143C2314yes—
383#14579143C2314yes—
384#14579143C2314yes—
385#14579143C2314yes—
386#14579143C2314yes—
387#14579143C2314yes—
388#14579142C2314yes—
389#14579142C2314yes—
390#14579141C2312yes—
391#14579141C2312yes—
392#14579141C2312yes—
393#14579141C2314yes—
394#14579141C2314yes—
395#14579141C2314yes—
396#14579141C2312yes—
397#14579141C2314yes—
398#14579141C2314yes—
399#14579141C2312yes—
400#14579140C2312yes—
401#14579140C2314yes—
402#14579139C2314yes—
403#14579139C2314yes—
404#14579139C2314yes—
405#14579139C2314yes—
406#14579139C2314yes—
407#14579139C2314yes—
408#14579139C2314yes—
409#14579139C2314yes—
410#14579139C2314yes—
411#14579138C2314yes—
412#14579138C2314yes—
413#14579138C2314yes—
414#14579138C2314yes—
415#14579138C2314yes—
416#14579137C2312yes—
417#14579137C2314yes—
418#14579137C2312yes—
419#14579137C2314yes—
420#14579137C2314yes—
421#14579137C2314yes—
422#14579137C2314yes—
423#14579137C2314yes—
424#14579137C2314yes—
425#14579137C2312yes—
426#14579137C2312yes—
427#14579137C2312yes—
428#14579136C2312yes—
429#14579136C2314yes—
430#14579136C2314yes—
431#14579136C2312yes—
432#14579136C2314yes—
433#14579136C2314yes—
434#14579136C2314yes—
435#14579136C2314yes—
436#14579136C2312yes—
437#14579136C2314yes—
438#14579136C2312yes—
439#14579136C2312yes—
440#14579136C2312yes—
441#14579136C2312yes—
442#14579135C2314yes—
443#14579135C2312yes—
444#14579135C2312yes—
445#14579135C2314yes—
446#14579135C2312yes—
447#14579135C2314yes—
448#14579134C2314yes—
449#14579134C2314yes—
450#14579134C2314yes—
451#14579134C2314yes—
452#14579134C2314yes—
453#14579134C2314yes—
454#14579134C2314yes—
455#14579134C2314yes—
456#14579134C2314yes—
457#14579134C2314yes—
458#14579134C2314yes—
459#14579133C2314yes—
460#14579133C2314yes—
461#14579133C2314yes—
462#14579132C2314yes—
463#14579132C2312yes—
464#14579132C2314yes—
465#14579132C2314yes—
466#14579132C2312yes—
467#14579132C2312yes—
468#14579131C2314yes—
469#14579131C2314yes—
470#14579131C2314yes—
471#14579131C2314yes—
472#14579131C2314yes—
473#14579131C2314yes—
474#14579131C2312yes—
475#14579131C2311yescharacteristic
476#14579131C2311yescharacteristic
477#14579131C2314yes—
478#14579129C2314yes—
479#14579129C2314yes—
480#14579129C2314yes—
481Q8×Dic79C2312yes—
482Q8×Dic79C2312yes—
483Q8×Dic79C2312yes—
484Q8×Dic79C2314yes—
485C4×Dic158C2314yes—
486C4×Dic158C2312yes—
487C4×Dic158C2312yes—
488C4×Dic158C2312yes—
489C4×Dic158C2314yes—
490#14579126C2314yes—
491#14579126C2314yes—
492#14579126C2312yes—
493#14579126C2314yes—
494#14579126C2314yes—
495#14579126C2312yes—
496#14579126C2312yes—
497C4×D316C2314yes—
498C4×D316C2314yes—
499C4×D316C2314yes—
500C4×D316C2314yes—
501C4×D316C2314yes—
502C4×D316C2314yes—
503C4×D316C2314yes—
504C4×D316C2314yes—
505C4×D316C2312yes—
506C4×D316C2312yes—
507C4×D316C2312yes—
508C4×D316C2312yes—
509C4×D316C2312yes—
510C4×D316C2312yes—
511C4×D316C2312yes—
512C4×D316C2312yes—
513C4×D316C2312yes—
514D4×Dic79C2312yes—
515D4×Dic79C2314yes—
516D4×Dic79C2314yes—
517#14579123C2314yes—
518#14579123C2312yes—
519#14579123C2312yes—
520#14579123C2314yes—
521#14579123C2312yes—
522#14579123C2312yes—
523#14579123C2314yes—
524#14579123C2312yes—
525#14579123C2314yes—
526#14579123C2312yes—
527#14579123C2314yes—
528#14579123C2312yes—
529#14579123C2314yes—
530#14579123C2314yes—
531#14579123C2314yes—
532#14579123C2312yes—
533#14579123C2312yes—
534C4×C22⋊D79C2314yes—
535C4×C22⋊D79C2314yes—
536C4×C22⋊D79C2314yes—
537C4×C22⋊D79C2314yes—
538C4×C22⋊D79C2314yes—
539C4×C22⋊D79C2314yes—
540C4×C22⋊D79C2314yes—
541C4×C22⋊D79C2314yes—
542C4×C22⋊D79C2314yes—
543(C22⋊D79)⋊C4C2314yes—
544(C22⋊D79)⋊C4C2314yes—
545(C22⋊D79)⋊C4C2314yes—
546(C22⋊D79)⋊C4C2314yes—
547(C22⋊D79)⋊C4C2314yes—
548(C22⋊D79)⋊C4C2314yes—
549(C22⋊D79)⋊C4C2312yes—
550(C22⋊D79)⋊C4C2312yes—
551(C22⋊D79)⋊C4C2314yes—
552(C22⋊D79)⋊C4C2312yes—
553(C22⋊D79)⋊C4C2312yes—
554#14579120C2314yes—
555#14579120C2314yes—
556#14579120C2314yes—
557#14579119C2312yes—
558#14579119C2314yes—
559#14579119C2314yes—
560#14579119C2314yes—
561#14579119C2314yes—
562#14579119C2312yes—
563#14579119C2312yes—
564#14579119C2312yes—
565#14579119C2312yes—
566#14579119C2314yes—
567#14579119C2314yes—
568#14579119C2312yes—
569#14579119C2312yes—
570#14579119C2312yes—
571#14579118C2314yes—
572#14579118C2311yescharacteristic
573#14579118C2311yescharacteristic
574#14579118C2314yes—
575#14579118C2314yes—
576#14579118C2312yes—
577#14579118C2314yes—
578#14579118C2314yes—
579#14579118C2314yes—
580#14579118C2314yes—
581#14579118C2314yes—
582#14579117C2314yes—
583#14579117C2314yes—
584#14579117C2314yes—
585C2×Dic79⋊C4C2314yes—
586C4⋊C4×D79C2312yes—
587C4⋊C4×D79C2314yes—
588C4⋊C4×D79C2312yes—
589C4⋊C4×D79C2314yes—
590C4⋊C4×D79C2314yes—
591C4⋊C4×D79C2314yes—
592C4⋊C4×D79C2314yes—
593C4⋊C4×D79C2314yes—
594C4⋊C4×D79C2314yes—
595C4⋊C4×D79C2312yes—
596C4⋊C4×D79C2312yes—
597C4⋊C4×D79C2314yes—
598C2×(C2×D79)⋊C4C2314yes—
599C2×(C2×D79)⋊C4C2314yes—
600C2×(C2×D79)⋊C4C2314yes—
601C22⋊C4×D79C2314yes—
602C22⋊C4×D79C2314yes—
603C22⋊C4×D79C2314yes—
604C22⋊C4×D79C2314yes—
605C22⋊C4×D79C2314yes—
606C22⋊C4×D79C2314yes—
607C22⋊C4×D79C2314yes—
608C22⋊C4×D79C2314yes—
609C22⋊C4×D79C2314yes—
610C22⋊C4×D79C2314yes—
611C2×C4×Dic79C2311yescharacteristic
612C2×C4×Dic79C2312yes—
613C42×D79C2312yes—
614C42×D79C2312yes—
615C42×D79C2312yes—
616C42×D79C2312yes—
617C42×D79C2314yes—
618C42×D79C2312yes—
619C42×D79C2311yescharacteristic
620C42×D79C2311yescharacteristic
621C4⋊Q8×C79C2314yes—
622C4⋊Q8×C79C2311yescharacteristic
623C4⋊Q8×C79C2312yes—
624C4⋊Q8×C79C2312yes—
625#127×C79C2311yescharacteristic
626#126×C79C2314yes—
627#126×C79C2314yes—
628#126×C79C2314yes—
629#126×C79C2314yes—
630#126×C79C2314yes—
631#125×C79C2314yes—
632#125×C79C2314yes—
633#125×C79C2314yes—
634#125×C79C2311yescharacteristic
635#125×C79C2311yescharacteristic
636#125×C79C2312yes—
637#125×C79C2312yes—
638#124×C79C2314yes—
639#124×C79C2312yes—
640#124×C79C2312yes—
641#124×C79C2314yes—
642#123×C79C2314yes—
643#123×C79C2314yes—
644#123×C79C2314yes—
645#123×C79C2314yes—
646#123×C79C2314yes—
647C22⋊Q8×C79C2312yes—
648C22⋊Q8×C79C2314yes—
649C22⋊Q8×C79C2314yes—
650C22⋊Q8×C79C2312yes—
651C22⋊Q8×C79C2314yes—
652C22⋊Q8×C79C2314yes—
653C22⋊Q8×C79C2312yes—
654C22⋊Q8×C79C2314yes—
655#121×C79C2312yes—
656#121×C79C2314yes—
657C4×Q8×C79C2312yes—
658C4×Q8×C79C2312yes—
659C4×Q8×C79C2312yes—
660C4×Q8×C79C2312yes—
661C4×Q8×C79C2312yes—
662C4×Q8×C79C2314yes—
663C4×D4×C79C2314yes—
664C4×D4×C79C2312yes—
665C4×D4×C79C2312yes—
666C4×D4×C79C2312yes—
667C4×D4×C79C2314yes—
668#117×C79C2311yescharacteristic
669#117×C79C2311yescharacteristic
670#117×C79C2314yes—
671#117×C79C2314yes—
672C2×C4⋊C4×C79C2314yes—
673C2×C42×C79C2311yescharacteristic
674C23×D79C2411yescharacteristic
675C23×D79C2414yes—
676C23×D79C2414yes—
677#11929625—44no—
678#11929625—48no—
679#11929625—44no—
680#11929625—44no—
681#11929624—48no—
682#11929624—42no—
683#11929624—42no—
684#11929623—44no—
685C2×Dic158C2412yes—
686C2×Dic158C2414yes—
687C2×Dic158C2414yes—
688C2×Dic158C2411yescharacteristic
689C2×Dic158C2414yes—
690C2×Dic158C2411yescharacteristic
691Q8×D79—44no—
692Q8×D79—44no—
693C2×D316—48no—
694C2×D316C2412yes—
695C2×D316C2412yes—
696C2×D316C2412yes—
697C2×D316C2414yes—
698C2×D316C2412yes—
699C2×D316C2412yes—
700C2×D316C2411yescharacteristic
701C2×D316C2411yescharacteristic
702C2×D316C2414yes—
703C2×D316C2412yes—
704C2×D316C2412yes—
705C2×D316C2414yes—
706C2×D316C2414yes—
707C2×D316C2414yes—
708C2×C22⋊D79C2414yes—
709C2×C22⋊D79C2414yes—
710C2×C22⋊D79C2412yes—
711C2×C22⋊D79C2411yescharacteristic
712C2×C22⋊D79C2411yescharacteristic
713C2×C22⋊D79C2414yes—
714C2×C22⋊D79C2414yes—
715C2×C22⋊D79C2414yes—
716C2×C22⋊D79C2414yes—
717C2×C22⋊D79C2414yes—
718D4×D79—48no—
719D4×D79—48no—
720D4×D79—44no—
721D4×D79—44no—
722C22×Dic79C2414yes—
723C22×Dic79C2412yes—
724C22×Dic79C2411yescharacteristic
725C22×Dic79C2414yes—
726C2×C4×D79—42no—
727C2×C4×D79—44no—
728C2×C4×D79—48no—
729C2×C4×D79C2412yes—
730C2×C4×D79C2412yes—
731C2×C4×D79C2411yescharacteristic
732C2×C4×D79C2411yescharacteristic
733C2×C4×D79C2414yes—
734C2×C4×D79C2412yes—
735C2×C4×D79C2412yes—
736C2×C4×D79C2414yes—
737C2×C4×D79C2414yes—
738C2×C4×D79C2414yes—
739C2×C4×D79C2412yes—
740C2×C4×D79C2412yes—
741C2×C4×D79C2412yes—
742C2×C4×D79C2412yes—
743C2×C4×D79C2414yes—
744C2×C4×D79C2414yes—
745C2×C4×D79C2414yes—
746C2×C4×D79C2412yes—
747C2×C4×D79C2412yes—
748C2×C4×D79C2412yes—
749C2×C4×D79C2414yes—
750C2×C4×D79C2414yes—
751C2×C4×D79C2414yes—
752C2×C4×D79C2414yes—
753C4⋊Dic79C2414yes—
754C4⋊Dic79C2412yes—
755C4⋊Dic79C2412yes—
756C4⋊Dic79C2414yes—
757C4⋊Dic79C2414yes—
758C4⋊Dic79C2414yes—
759C4⋊Dic79C2414yes—
760C4⋊Dic79C2414yes—
761C4⋊Dic79C2414yes—
762C4⋊Dic79C2412yes—
763C4⋊Dic79C2412yes—
764C4⋊Dic79C2412yes—
765C4⋊Dic79C2412yes—
766C4⋊Dic79C2412yes—
767C4⋊Dic79C2412yes—
768C4⋊Dic79C2414yes—
769Dic79⋊C4C2414yes—
770Dic79⋊C4C2414yes—
771Dic79⋊C4C2412yes—
772Dic79⋊C4C2414yes—
773Dic79⋊C4C2414yes—
774Dic79⋊C4C2414yes—
775Dic79⋊C4C2414yes—
776Dic79⋊C4C2414yes—
777Dic79⋊C4C2414yes—
778Dic79⋊C4C2414yes—
779Dic79⋊C4C2414yes—
780Dic79⋊C4C2414yes—
781Dic79⋊C4C2414yes—
782Dic79⋊C4C2414yes—
783Dic79⋊C4C2414yes—
784Dic79⋊C4C2412yes—
785Dic79⋊C4C2414yes—
786Dic79⋊C4C2414yes—
787Dic79⋊C4C2412yes—
788Dic79⋊C4C2414yes—
789Dic79⋊C4C2412yes—
790Dic79⋊C4C2414yes—
791C22⋊Dic79C2414yes—
792C22⋊Dic79C2414yes—
793C22⋊Dic79C2414yes—
794C22⋊Dic79C2414yes—
795C22⋊Dic79C2414yes—
796C22⋊Dic79C2414yes—
797C22⋊Dic79C2414yes—
798(C2×D79)⋊C4C2412yes—
799(C2×D79)⋊C4C2414yes—
800(C2×D79)⋊C4C2414yes—
801(C2×D79)⋊C4C2414yes—
802(C2×D79)⋊C4C2412yes—
803(C2×D79)⋊C4C2412yes—
804(C2×D79)⋊C4C2414yes—
805(C2×D79)⋊C4C2414yes—
806(C2×D79)⋊C4C2414yes—
807(C2×D79)⋊C4C2414yes—
808(C2×D79)⋊C4C2414yes—
809(C2×D79)⋊C4C2414yes—
810(C2×D79)⋊C4C2414yes—
811(C2×D79)⋊C4C2414yes—
812(C2×D79)⋊C4C2414yes—
813(C2×D79)⋊C4C2414yes—
814(C2×D79)⋊C4C2414yes—
815(C2×D79)⋊C4C2412yes—
816(C2×D79)⋊C4C2414yes—
817(C2×D79)⋊C4C2412yes—
818(C2×D79)⋊C4C2412yes—
819(C2×D79)⋊C4C2414yes—
820(C2×D79)⋊C4C2414yes—
821(C2×D79)⋊C4C2412yes—
822(C2×D79)⋊C4C2412yes—
823(C2×D79)⋊C4C2414yes—
824(C2×D79)⋊C4C2412yes—
825(C2×D79)⋊C4C2412yes—
826(C2×D79)⋊C4C2414yes—
827(C2×D79)⋊C4C2414yes—
828(C2×D79)⋊C4C2414yes—
829(C2×D79)⋊C4C2412yes—
830(C2×D79)⋊C4C2412yes—
831(C2×D79)⋊C4C2414yes—
832(C2×D79)⋊C4C2412yes—
833(C2×D79)⋊C4C2412yes—
834(C2×D79)⋊C4C2412yes—
835(C2×D79)⋊C4C2412yes—
836C4×Dic79C2411yescharacteristic
837C4×Dic79C2412yes—
838C4×Dic79C2412yes—
839C4×Dic79C2411yescharacteristic
840C4×Dic79C2412yes—
841C4×Dic79C2412yes—
842C4×Dic79C2412yes—
843C4×Dic79C2414yes—
844C4×Dic79C2414yes—
845C4×Dic79C2412yes—
846C4×Dic79C2412yes—
847C4×Dic79C2414yes—
848C4×Dic79C2412yes—
849C4×Dic79C2412yes—
850C4×Dic79C2414yes—
851C4×Dic79C2414yes—
852C4×Dic79C2414yes—
853C4×Dic79C2414yes—
854C2×Q8×C79C2412yes—
855C2×Q8×C79C2412yes—
856C2×Q8×C79C2414yes—
857C2×Q8×C79C2412yes—
858C2×D4×C79C2412yes—
859C2×D4×C79C2414yes—
860C2×D4×C79C2414yes—
861C22×C4×C79C2411yescharacteristic
862C22×C4×C79C2414yes—
863C22×C4×C79C2412yes—
864C22×C4×C79C2414yes—
865C22×C4×C79C2414yes—
866C4⋊C4×C79C2412yes—
867C4⋊C4×C79C2414yes—
868C4⋊C4×C79C2414yes—
869C4⋊C4×C79C2414yes—
870C4⋊C4×C79C2412yes—
871C4⋊C4×C79C2414yes—
872C4⋊C4×C79C2412yes—
873C4⋊C4×C79C2414yes—
874C4⋊C4×C79C2412yes—
875C4⋊C4×C79C2412yes—
876C4⋊C4×C79C2412yes—
877C4⋊C4×C79C2412yes—
878C4⋊C4×C79C2414yes—
879C4⋊C4×C79C2412yes—
880C4⋊C4×C79C2414yes—
881C4⋊C4×C79C2412yes—
882C4⋊C4×C79C2414yes—
883C4⋊C4×C79C2412yes—
884C4⋊C4×C79C2414yes—
885C4⋊C4×C79C2414yes—
886C22⋊C4×C79C2414yes—
887C22⋊C4×C79C2412yes—
888C22⋊C4×C79C2414yes—
889C22⋊C4×C79C2411yescharacteristic
890C22⋊C4×C79C2411yescharacteristic
891C22⋊C4×C79C2414yes—
892C22⋊C4×C79C2414yes—
893C22⋊C4×C79C2414yes—
894C22⋊C4×C79C2414yes—
895C22⋊C4×C79C2414yes—
896C22⋊C4×C79C2414yes—
897C22⋊C4×C79C2414yes—
898C42×C79C2411yescharacteristic
899C42×C79C2412yes—
900C42×C79C2411yescharacteristic
901C42×C79C2414yes—
902C42×C79C2411yescharacteristic
903C42×C79C2412yes—
904C42×C79C2411yescharacteristic
905C42×C79C2414yes—
906C42×C79C2414yes—
907C23×C79C2514yes—
908C23×C79C2511yescharacteristic
909C22×D79—24no—
910C22×D79—28no—
911C22×D79—41no—
912C22×D79—44no—
913C22×D79—44no—
914C22×D79—44no—
915C22×D79—44no—
916C22×D79—44no—
917C22×D79C2512yes—
918C22×D79C2514yes—
919C22×D79C2511yescharacteristic
920C22×D79C2511yescharacteristic
921C22×D79C2512yes—
922Q8×C79—24no—
923Q8×C79—42no—
924Q8×C79—44no—
925Q8×C79—42no—
926D4×C79—24no—
927D4×C79—44no—
928D4×C79—44no—
929C2×C4×C79—22no—
930C2×C4×C79—44no—
931C2×C4×C79—42no—
932C2×C4×C79—44no—
933C2×C4×C79—44no—
934C2×C4×C79C2512yes—
935C2×C4×C79C2512yes—
936C2×C4×C79C2512yes—
937C2×C4×C79C2512yes—
938C2×C4×C79C2514yes—
939C2×C4×C79C2511yescharacteristic
940C2×C4×C79C2512yes—
941C2×C4×C79C2512yes—
942C2×C4×C79C2514yes—
943C2×C4×C79C2514yes—
944C2×C4×C79C2511yescharacteristic
945C22⋊D79—28no—
946C22⋊D79—44no—
947C22⋊D79—44no—
948C22⋊D79—44no—
949C22⋊D79—44no—
950C22⋊D79—44no—
951C22⋊D79—42no—
952C22⋊D79—41no—
953C22⋊D79—44no—
954C22⋊D79—41no—
955C2×Dic79—41no—
956C2×Dic79—44no—
957C2×Dic79—42no—
958C2×Dic79—44no—
959C2×Dic79C2512yes—
960C2×Dic79C2512yes—
961C2×Dic79C2512yes—
962C2×Dic79C2514yes—
963C2×Dic79C2512yes—
964C2×Dic79C2514yes—
965C2×Dic79C2511yescharacteristic
966C2×Dic79C2514yes—
967C2×Dic79C2511yescharacteristic
968D316—24no—
969D316—28no—
970D316—24no—
971D316—24no—
972D316—24no—
973D316—24no—
974D316—44no—
975D316—44no—
976D316—41no—
977D316—41no—
978D316—44no—
979D316—42no—
980D316—42no—
981D316—44no—
982C4×D79—24no—
983C4×D79—28no—
984C4×D79—24no—
985C4×D79—24no—
986C4×D79—24no—
987C4×D79—22no—
988C4×D79—22no—
989C4×D79—42no—
990C4×D79—44no—
991C4×D79—42no—
992C4×D79—44no—
993C4×D79—42no—
994C4×D79—44no—
995C4×D79—44no—
996C4×D79—44no—
997C4×D79—44no—
998C4×D79—44no—
999C4×D79—44no—
1000C4×D79—44no—
1001C4×D79—44no—
1002C4×D79—42no—
1003C4×D79—42no—
1004C4×D79—42no—
1005C4×D79—42no—
1006Dic158—24no—
1007Dic158—44no—
1008Dic158—44no—
1009Dic158—44no—
1010Dic158—41no—
1011Dic158—41no—
1012C22×C79—24no—
1013C22×C79—21no—
1014C22×C79—24no—
1015C22×C79—22no—
1016C22×C79—24no—
1017C22×C79C2611yescharacteristic
1018C2×D79—22no—
1019C2×D79—22no—
1020C2×D79—21no—
1021C2×D79—22no—
1022C2×D79—24no—
1023C2×D79—22no—
1024C2×D79—22no—
1025C2×D79—24no—
1026C2×D79—21no—
1027C2×D79—24no—
1028C2×D79—22no—
1029C2×D79—22no—
1030C2×D79—44no—
1031C2×D79—88no—
1032C2×D79—164no—
1033C2×D79#58514yes—
1034C4×C79—21no—
1035C4×C79—22no—
1036C4×C79—22no—
1037C4×C79—24no—
1038C4×C79—22no—
1039C4×C79—24no—
1040C4×C79—22no—
1041C4×C79—22no—
1042C4×C79—24no—
1043C4×C79—22no—
1044C4×C79#58512yes—
1045Dic79—24no—
1046Dic79—22no—
1047Dic79—22no—
1048Dic79—24no—
1049Dic79—21no—
1050Dic79—24no—
1051Dic79—21no—
1052Dic79—22no—
1053Dic79—22no—
1054#62829—791nomaximal, Sylow
1055C2×C79—41no—
1056C2×C79—44no—
1057C2×C79C2×#58512yes—
1058C2×C79C2×#58511yescharacteristic
1059D79—24no—
1060D79—41no—
1061D79—41no—
1062D79—44no—
1063D79—42no—
1064#3566—794no—
1065#3566—794no—
1066#3564—794no—
1067#3560—794no—
1068#3557—791no—
1069#3557D7911yescharacteristic, complemented
1070#3551—792no—
1071#3538—791no—
1072#3537—791no—
1073#3536—792no—
1074#3516—792no—
1075#3516—792no—
1076#3515—792no—
1077#3515—792no—
1078#3514—792no—
1079#3514—792no—
1080#3513—792no—
1081#3513—792no—
1082#3513—794no—
1083#3513—794no—
1084#3512—791no—
1085#3512—791no—
1086#3510—792no—
1087#3493—794no—
1088#3491—794no—
1089#3444—791no—
1090C2×#529—792no—
1091C79#6282911yescharacteristic, complemented, Sylow
1092#563—794no—
1093#563—794no—
1094#563—794no—
1095#563C2×D7914yescomplemented
1096#562—794no—
1097#562—794no—
1098#560—794no—
1099#560—794no—
1100#559—794no—
1101#559—794no—
1102#559—792no—
1103#559C2×D7912yescomplemented
1104#557—792no—
1105#557C2×D7912yescomplemented
1106#556—794no—
1107#556—794no—
1108#556—794no—
1109#556—794no—
1110#556—792no—
1111#556C2×D7912yescomplemented
1112#555—794no—
1113#555—794no—
1114#555—794no—
1115#554—794no—
1116#554—792no—
1117#554—794no—
1118#554—792no—
1119#554—792no—
1120#554C2×D7912yescomplemented
1121#553—794no—
1122#553—794no—
1123#553—794no—
1124#553—792no—
1125#553—794no—
1126#553—792no—
1127#553—794no—
1128#553—794no—
1129#553—794no—
1130#553—794no—
1131#553—794no—
1132#553—792no—
1133#553—792no—
1134#553—794no—
1135#552—794no—
1136#552—794no—
1137#552—794no—
1138#552—794no—
1139#552—794no—
1140#552—792no—
1141#552—792no—
1142#552—794no—
1143#552—794no—
1144#552—794no—
1145#552—794no—
1146#552—792no—
1147#552—792no—
1148#552—794no—
1149#552—794no—
1150#552C2×D7914yescomplemented
1151#551—794no—
1152#551—794no—
1153#551—794no—
1154#551—794no—
1155#551—794no—
1156#551—794no—
1157#551—794no—
1158#551—794no—
1159#551—794no—
1160#551—794no—
1161#551—794no—
1162#551—794no—
1163#551—794no—
1164#551—794no—
1165D4×Q8—792no—
1166D4×Q8—792no—
1167#548—792no—
1168#548—792no—
1169#548—792no—
1170#548—792no—
1171#547—792no—
1172#547—794no—
1173#547—794no—
1174#547—792no—
1175#546—794no—
1176#546—792no—
1177#546—792no—
1178#546—794no—
1179#546—794no—
1180#546—794no—
1181#546—794no—
1182#546—794no—
1183#546—792no—
1184#546—792no—
1185D42—792no—
1186D42—794no—
1187D42—792no—
1188#544—794no—
1189#543—794no—
1190#542—792no—
1191#542—794no—
1192#542—792no—
1193#542—794no—
1194#542—794no—
1195#542—794no—
1196#542—794no—
1197#542—792no—
1198#542C2×D7912yescomplemented
1199#542C2×D7914yescomplemented
1200#541—791no—
1201#541—794no—
1202#541—794no—
1203#541—791no—
1204#541—794no—
1205#541—794no—
1206#541—791no—
1207#541C2×D7911yescharacteristic, complemented
1208#540—791no—
1209#540—791no—
1210#540—794no—
1211#540—794no—
1212#540—791no—
1213#540C2×D7911yescharacteristic
1214#539—794no—
1215#539—794no—
1216#539—794no—
1217#539—794no—
1218#539—794no—
1219#539—794no—
1220#539—794no—
1221#539—794no—
1222#539—794no—
1223#539C2×D7914yescomplemented
1224#538—794no—
1225#538—794no—
1226#538—794no—
1227#538—794no—
1228#538—794no—
1229#538—794no—
1230#538—794no—
1231#538—794no—
1232#538—794no—
1233#538—794no—
1234#537—794no—
1235#537—792no—
1236#537—792no—
1237#536—792no—
1238#535—792no—
1239#534—794no—
1240#533—792no—
1241#533—792no—
1242#533C2×D7911yescharacteristic, complemented
1243#532—792no—
1244#532—791no—
1245#532—791no—
1246#532—791no—
1247#529—794no—
1248#529—794no—
1249#529—792no—
1250#529—792no—
1251#529—792no—
1252#529—794no—
1253#529—792no—
1254#529—794no—
1255#529—792no—
1256#529—792no—
1257#529—792no—
1258#529—792no—
1259#529—792no—
1260#529—792no—
1261#529—792no—
1262#529—794no—
1263#529—792no—
1264#529—792no—
1265#529—792no—
1266#529—794no—
1267#529—792no—
1268#529—792no—
1269#529—794no—
1270#529—794no—
1271#529—792no—
1272#529C2×D7912yescomplemented
1273C2×#126—794no—
1274C2×#125—792no—
1275C2×#125—791no—
1276C2×#125—791no—
1277C2×#124—792no—
1278C2×#124—792no—
1279#525—792no—
1280#525—792no—
1281#525—794no—
1282#525—794no—
1283#525—791no—
1284#525—791no—
1285C2×#123—794no—
1286C2×#123—794no—
1287C2×#123—794no—
1288C2×C22⋊Q8—792no—
1289C2×#121—792no—
1290#520—794no—
1291#520—792no—
1292#520—792no—
1293#520—794no—
1294#519—792no—
1295#518—794no—
1296#518—792no—
1297#518—794no—
1298C4×#41—792no—
1299C4×#41—792no—
1300C4×#41—791no—
1301C4×#41—791no—
1302C2×C4×Q8—792no—
1303C2×C4×D4—794no—
1304C2×C4×D4—792no—
1305C2×#117—794no—
1306C22×C42—791no—
1307C2×#41—792no—
1308C2×#41—792no—
1309C2×#41—794no—
1310C2×#41—792no—
1311C2×#41—792no—
1312C2×#41—791no—
1313C2×#41—791no—
1314C2×#41—794no—
1315C22×Q8—792no—
1316C22×Q8—792no—
1317C22×D4—794no—
1318C22×D4—792no—
1319C22×D4—794no—
1320C22×D4—792no—
1321C22×D4—794no—
1322C23×C4—794no—
1323C23×C4—792no—
1324C23×C4—791no—
1325C4⋊Q8—794no—
1326C4⋊Q8—794no—
1327C4⋊Q8—794no—
1328C4⋊Q8—791no—
1329C4⋊Q8—791no—
1330C4⋊Q8—792no—
1331C4⋊Q8—794no—
1332C4⋊Q8C22×D7912yes—
1333C4⋊Q8C22×D7911yescharacteristic
1334C4⋊Q8C22×D7912yes—
1335C4⋊Q8C22×D7914yes—
1336#127—794no—
1337#127—791no—
1338#127—791no—
1339#127C22×D7911yescharacteristic
1340#126—794no—
1341#126—794no—
1342#126—794no—
1343#126—792no—
1344#126—792no—
1345#126—792no—
1346#126—792no—
1347#126—794no—
1348#126—794no—
1349#126—794no—
1350#126—794no—
1351#126—794no—
1352#126—794no—
1353#126—794no—
1354#126—794no—
1355#126—794no—
1356#126—794no—
1357#126—794no—
1358#126—794no—
1359#126—794no—
1360#126—794no—
1361#126—794no—
1362#126—794no—
1363#126—794no—
1364#126—794no—
1365#126—794no—
1366#126—794no—
1367#126—794no—
1368#126—794no—
1369#126—794no—
1370#126—794no—
1371#126C22×D7914yes—
1372#126C22×D7914yes—
1373#126C22×D7914yes—
1374#126C22×D7914yes—
1375#126C22×D7914yes—
1376#125—792no—
1377#125—792no—
1378#125—794no—
1379#125—794no—
1380#125—794no—
1381#125—794no—
1382#125—792no—
1383#125—792no—
1384#125—794no—
1385#125—794no—
1386#125—794no—
1387#125—794no—
1388#125—794no—
1389#125—794no—
1390#125—794no—
1391#125—794no—
1392#125—794no—
1393#125—794no—
1394#125—792no—
1395#125—791no—
1396#125—791no—
1397#125—794no—
1398#125C22×D7912yes—
1399#125C22×D7911yescharacteristic
1400#125C22×D7911yescharacteristic
1401#125C22×D7912yes—
1402#125C22×D7914yes—
1403#125C22×D7914yes—
1404#125C22×D7914yes—
1405#124—792no—
1406#124—792no—
1407#124—792no—
1408#124—794no—
1409#124—794no—
1410#124—792no—
1411#124—794no—
1412#124—794no—
1413#124—794no—
1414#124—794no—
1415#124—794no—
1416#124—794no—
1417#124—794no—
1418#124—794no—
1419#124—794no—
1420#124—794no—
1421#124—792no—
1422#124—792no—
1423#124—791no—
1424#124—791no—
1425#124—794no—
1426#124—794no—
1427#124C22×D7912yes—
1428#124C22×D7912yes—
1429#124C22×D7914yes—
1430#124C22×D7914yes—
1431#123—794no—
1432#123—794no—
1433#123—794no—
1434#123—794no—
1435#123—794no—
1436#123—792no—
1437#123—792no—
1438#123—794no—
1439#123—794no—
1440#123—794no—
1441#123—794no—
1442#123—794no—
1443#123—794no—
1444#123—794no—
1445#123—794no—
1446#123—794no—
1447#123—792no—
1448#123—792no—
1449#123—794no—
1450#123—794no—
1451#123—794no—
1452#123—794no—
1453#123—794no—
1454#123—794no—
1455#123—794no—
1456#123—794no—
1457#123—794no—
1458#123—794no—
1459#123—794no—
1460#123—794no—
1461#123—794no—
1462#123—794no—
1463#123—792no—
1464#123—791no—
1465#123—791no—
1466#123—794no—
1467#123—794no—
1468#123—794no—
1469#123—794no—
1470#123—794no—
1471#123—794no—
1472#123—794no—
1473#123—794no—
1474#123—794no—
1475#123C22×D7914yes—
1476#123C22×D7914yes—
1477#123C22×D7914yes—
1478#123C22×D7914yes—
1479#123C22×D7914yes—
1480C22⋊Q8—792no—
1481C22⋊Q8—792no—
1482C22⋊Q8—792no—
1483C22⋊Q8—794no—
1484C22⋊Q8—792no—
1485C22⋊Q8—792no—
1486C22⋊Q8—794no—
1487C22⋊Q8—794no—
1488C22⋊Q8—794no—
1489C22⋊Q8—794no—
1490C22⋊Q8—794no—
1491C22⋊Q8—794no—
1492C22⋊Q8—792no—
1493C22⋊Q8—794no—
1494C22⋊Q8—794no—
1495C22⋊Q8—792no—
1496C22⋊Q8—792no—
1497C22⋊Q8—792no—
1498C22⋊Q8—794no—
1499C22⋊Q8—792no—
1500C22⋊Q8—792no—
1501C22⋊Q8—794no—
1502C22⋊Q8—794no—
1503C22⋊Q8—794no—
1504C22⋊Q8—794no—
1505C22⋊Q8—794no—
1506C22⋊Q8—794no—
1507C22⋊Q8—794no—
1508C22⋊Q8—794no—
1509C22⋊Q8—794no—
1510C22⋊Q8—794no—
1511C22⋊Q8—794no—
1512C22⋊Q8—794no—
1513C22⋊Q8—794no—
1514C22⋊Q8—794no—
1515C22⋊Q8—794no—
1516C22⋊Q8—794no—
1517C22⋊Q8—794no—
1518C22⋊Q8C22×D7912yes—
1519C22⋊Q8C22×D7912yes—
1520C22⋊Q8C22×D7912yes—
1521C22⋊Q8C22×D7914yes—
1522C22⋊Q8C22×D7914yes—
1523C22⋊Q8C22×D7914yes—
1524C22⋊Q8C22×D7914yes—
1525C22⋊Q8C22×D7914yes—
1526#121—792no—
1527#121—794no—
1528#121—794no—
1529#121—792no—
1530#121—792no—
1531#121—794no—
1532#121—794no—
1533#121—794no—
1534#121—794no—
1535#121—792no—
1536#121—792no—
1537#121—792no—
1538#121—794no—
1539#121—794no—
1540#121—794no—
1541#121—792no—
1542#121—792no—
1543#121—792no—
1544#121—792no—
1545#121—792no—
1546#121—794no—
1547#121—794no—
1548#121—792no—
1549#121—794no—
1550#121—792no—
1551#121—794no—
1552#121—794no—
1553#121—794no—
1554#121—794no—
1555#121—794no—
1556#121—794no—
1557#121—794no—
1558#121—794no—
1559#121—794no—
1560#121—794no—
1561#121—794no—
1562#121—794no—
1563#121—794no—
1564#121—794no—
1565#121—794no—
1566#121C22×D7912yes—
1567#121C22×D7914yes—
1568#120—794no—
1569#120—794no—
1570#120—794no—
1571#120—792no—
1572#120—791no—
1573#120—791no—
1574#120—794no—
1575#120—794no—
1576#120—794no—
1577#120—794no—
1578#120—794no—
1579#120—794no—
1580#120—794no—
1581C4×Q8—792no—
1582C4×Q8—792no—
1583C4×Q8—792no—
1584C4×Q8—794no—
1585C4×Q8—792no—
1586C4×Q8—794no—
1587C4×Q8—792no—
1588C4×Q8—792no—
1589C4×Q8—794no—
1590C4×Q8—794no—
1591C4×Q8—794no—
1592C4×Q8—792no—
1593C4×Q8—794no—
1594C4×Q8—794no—
1595C4×Q8—792no—
1596C4×Q8—792no—
1597C4×Q8C22×D7912yes—
1598C4×Q8C22×D7912yes—
1599C4×Q8C22×D7912yes—
1600C4×Q8C22×D7912yes—
1601C4×Q8C22×D7912yes—
1602C4×Q8C22×D7914yes—
1603C4×D4—792no—
1604C4×D4—794no—
1605C4×D4—794no—
1606C4×D4—794no—
1607C4×D4—794no—
1608C4×D4—794no—
1609C4×D4—794no—
1610C4×D4—794no—
1611C4×D4—794no—
1612C4×D4—794no—
1613C4×D4—794no—
1614C4×D4—794no—
1615C4×D4—792no—
1616C4×D4—794no—
1617C4×D4—792no—
1618C4×D4—792no—
1619C4×D4—792no—
1620C4×D4—792no—
1621C4×D4—792no—
1622C4×D4—792no—
1623C4×D4—792no—
1624C4×D4—792no—
1625C4×D4—794no—
1626C4×D4—794no—
1627C4×D4—794no—
1628C4×D4—794no—
1629C4×D4—794no—
1630C4×D4—794no—
1631C4×D4—794no—
1632C4×D4—794no—
1633C4×D4—794no—
1634C4×D4—794no—
1635C4×D4—792no—
1636C4×D4—792no—
1637C4×D4—792no—
1638C4×D4—792no—
1639C4×D4—794no—
1640C4×D4—794no—
1641C4×D4—794no—
1642C4×D4—794no—
1643C4×D4—794no—
1644C4×D4—792no—
1645C4×D4—792no—
1646C4×D4—792no—
1647C4×D4—792no—
1648C4×D4—792no—
1649C4×D4—792no—
1650C4×D4—792no—
1651C4×D4—794no—
1652C4×D4—794no—
1653C4×D4—794no—
1654C4×D4—794no—
1655C4×D4—792no—
1656C4×D4—794no—
1657C4×D4—794no—
1658C4×D4—794no—
1659C4×D4—792no—
1660C4×D4C22×D7914yes—
1661C4×D4C22×D7912yes—
1662C4×D4C22×D7914yes—
1663C4×D4C22×D7912yes—
1664C4×D4C22×D7912yes—
1665#117—794no—
1666#117—794no—
1667#117—794no—
1668#117—794no—
1669#117—794no—
1670#117—792no—
1671#117—792no—
1672#117—792no—
1673#117—792no—
1674#117—792no—
1675#117—792no—
1676#117—794no—
1677#117—792no—
1678#117—794no—
1679#117—792no—
1680#117—794no—
1681#117—794no—
1682#117—794no—
1683#117—794no—
1684#117—794no—
1685#117—794no—
1686#117—794no—
1687#117—792no—
1688#117—791no—
1689#117—791no—
1690#117—794no—
1691#117—794no—
1692#117—794no—
1693#117—794no—
1694#117—794no—
1695#117—794no—
1696#117C22×D7914yes—
1697#117C22×D7911yescharacteristic
1698#117C22×D7911yescharacteristic
1699#117C22×D7914yes—
1700C2×C4⋊C4—794no—
1701C2×C4⋊C4—794no—
1702C2×C4⋊C4—794no—
1703C2×C4⋊C4—792no—
1704C2×C4⋊C4—794no—
1705C2×C4⋊C4—792no—
1706C2×C4⋊C4—794no—
1707C2×C4⋊C4—794no—
1708C2×C4⋊C4—794no—
1709C2×C4⋊C4—792no—
1710C2×C4⋊C4—792no—
1711C2×C4⋊C4—794no—
1712C2×C4⋊C4—794no—
1713C2×C4⋊C4C22×D7914yes—
1714C2×C22⋊C4—794no—
1715C2×C22⋊C4—794no—
1716C2×C22⋊C4—794no—
1717C2×C22⋊C4—794no—
1718C2×C22⋊C4—794no—
1719C2×C22⋊C4—794no—
1720C2×C22⋊C4—794no—
1721C2×C22⋊C4—794no—
1722C2×C22⋊C4—794no—
1723C2×C22⋊C4—794no—
1724C2×C22⋊C4—794no—
1725C2×C22⋊C4—794no—
1726C2×C22⋊C4—794no—
1727C2×C42—791no—
1728C2×C42—792no—
1729C2×C42—792no—
1730C2×C42—794no—
1731C2×C42—792no—
1732C2×C42—792no—
1733C2×C42—791no—
1734C2×C42—791no—
1735C2×C42—792no—
1736C2×C42—792no—
1737C2×C42C22×D7911yescharacteristic
1738C24—794no—
1739C24—794no—
1740C24—791no—
1741#41—3162no—
1742#41—3162no—
1743#41—3168no—
1744#41—3164no—
1745#41—3164no—
1746#41—3164no—
1747#41—3164no—
1748#41—3168no—
1749C2×Q8—3164no—
1750C2×Q8—3164no—
1751C2×Q8—791no—
1752C2×Q8—794no—
1753C2×Q8—794no—
1754C2×Q8—794no—
1755C2×Q8—791no—
1756C2×Q8—792no—
1757C2×Q8C23×D7912yes—
1758C2×Q8C23×D7914yes—
1759C2×Q8C23×D7912yes—
1760C2×Q8C23×D7912yes—
1761C2×D4—3168no—
1762C2×D4—3168no—
1763C2×D4—3168no—
1764C2×D4—3164no—
1765C2×D4—3164no—
1766C2×D4—792no—
1767C2×D4—794no—
1768C2×D4—794no—
1769C2×D4—794no—
1770C2×D4—794no—
1771C2×D4—794no—
1772C2×D4—791no—
1773C2×D4—791no—
1774C2×D4—794no—
1775C2×D4—794no—
1776C2×D4—791no—
1777C2×D4—794no—
1778C2×D4—794no—
1779C2×D4—792no—
1780C2×D4—792no—
1781C2×D4—794no—
1782C2×D4—794no—
1783C2×D4—791no—
1784C2×D4—792no—
1785C2×D4—792no—
1786C2×D4—792no—
1787C2×D4—794no—
1788C2×D4—792no—
1789C2×D4—792no—
1790C2×D4C23×D7912yes—
1791C2×D4C23×D7914yes—
1792C2×D4C23×D7914yes—
1793C22×C4—3162no—
1794C22×C4—3164no—
1795C22×C4—3168no—
1796C22×C4—792no—
1797C22×C4—791no—
1798C22×C4—794no—
1799C22×C4—794no—
1800C22×C4—792no—
1801C22×C4—792no—
1802C22×C4—792no—
1803C22×C4—794no—
1804C22×C4—792no—
1805C22×C4—792no—
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—792no—
1818C22×C4—792no—
1819C22×C4—792no—
1820C22×C4—791no—
1821C22×C4—791no—
1822C22×C4—792no—
1823C22×C4—794no—
1824C22×C4C23×D7911yescharacteristic
1825C22×C4C23×D7912yes—
1826C22×C4C23×D7914yes—
1827C22×C4C23×D7914yes—
1828C22×C4C23×D7914yes—
1829C4⋊C4—792no—
1830C4⋊C4—794no—
1831C4⋊C4—792no—
1832C4⋊C4—794no—
1833C4⋊C4—794no—
1834C4⋊C4—794no—
1835C4⋊C4—794no—
1836C4⋊C4—794no—
1837C4⋊C4—794no—
1838C4⋊C4—794no—
1839C4⋊C4—794no—
1840C4⋊C4—794no—
1841C4⋊C4—794no—
1842C4⋊C4—794no—
1843C4⋊C4—794no—
1844C4⋊C4—794no—
1845C4⋊C4—794no—
1846C4⋊C4—794no—
1847C4⋊C4—792no—
1848C4⋊C4—792no—
1849C4⋊C4—794no—
1850C4⋊C4—794no—
1851C4⋊C4—794no—
1852C4⋊C4—792no—
1853C4⋊C4—794no—
1854C4⋊C4—792no—
1855C4⋊C4—794no—
1856C4⋊C4—794no—
1857C4⋊C4—794no—
1858C4⋊C4—794no—
1859C4⋊C4—794no—
1860C4⋊C4—794no—
1861C4⋊C4—792no—
1862C4⋊C4—792no—
1863C4⋊C4—792no—
1864C4⋊C4—792no—
1865C4⋊C4—792no—
1866C4⋊C4—792no—
1867C4⋊C4C23×D7912yes—
1868C4⋊C4C23×D7912yes—
1869C4⋊C4C23×D7912yes—
1870C4⋊C4C23×D7914yes—
1871C4⋊C4C23×D7914yes—
1872C4⋊C4C23×D7914yes—
1873C4⋊C4C23×D7914yes—
1874C4⋊C4C23×D7914yes—
1875C4⋊C4C23×D7914yes—
1876C4⋊C4C23×D7914yes—
1877C4⋊C4C23×D7912yes—
1878C4⋊C4C23×D7914yes—
1879C4⋊C4C23×D7912yes—
1880C4⋊C4C23×D7912yes—
1881C4⋊C4C23×D7912yes—
1882C4⋊C4C23×D7912yes—
1883C4⋊C4C23×D7914yes—
1884C4⋊C4C23×D7914yes—
1885C4⋊C4C23×D7912yes—
1886C4⋊C4C23×D7912yes—
1887C22⋊C4—794no—
1888C22⋊C4—794no—
1889C22⋊C4—794no—
1890C22⋊C4—794no—
1891C22⋊C4—794no—
1892C22⋊C4—794no—
1893C22⋊C4—794no—
1894C22⋊C4—792no—
1895C22⋊C4—792no—
1896C22⋊C4—794no—
1897C22⋊C4—794no—
1898C22⋊C4—794no—
1899C22⋊C4—792no—
1900C22⋊C4—792no—
1901C22⋊C4—794no—
1902C22⋊C4—794no—
1903C22⋊C4—792no—
1904C22⋊C4—792no—
1905C22⋊C4—794no—
1906C22⋊C4—794no—
1907C22⋊C4—794no—
1908C22⋊C4—794no—
1909C22⋊C4—794no—
1910C22⋊C4—794no—
1911C22⋊C4—794no—
1912C22⋊C4—794no—
1913C22⋊C4—794no—
1914C22⋊C4—794no—
1915C22⋊C4—794no—
1916C22⋊C4—794no—
1917C22⋊C4—792no—
1918C22⋊C4—792no—
1919C22⋊C4—792no—
1920C22⋊C4—792no—
1921C22⋊C4—794no—
1922C22⋊C4—792no—
1923C22⋊C4—792no—
1924C22⋊C4—794no—
1925C22⋊C4—794no—
1926C22⋊C4—792no—
1927C22⋊C4—792no—
1928C22⋊C4—794no—
1929C22⋊C4—794no—
1930C22⋊C4—792no—
1931C22⋊C4—792no—
1932C22⋊C4C23×D7914yes—
1933C22⋊C4C23×D7914yes—
1934C22⋊C4C23×D7914yes—
1935C22⋊C4C23×D7914yes—
1936C22⋊C4C23×D7914yes—
1937C22⋊C4C23×D7914yes—
1938C22⋊C4C23×D7914yes—
1939C22⋊C4C23×D7914yes—
1940C22⋊C4C23×D7914yes—
1941C22⋊C4C23×D7912yes—
1942C22⋊C4C23×D7911yescharacteristic
1943C22⋊C4C23×D7911yescharacteristic
1944C42—791no—
1945C42—792no—
1946C42—791no—
1947C42—792no—
1948C42—792no—
1949C42—792no—
1950C42—792no—
1951C42—792no—
1952C42—792no—
1953C42—794no—
1954C42—794no—
1955C42—794no—
1956C42—792no—
1957C42—792no—
1958C42—794no—
1959C42—794no—
1960C42—794no—
1961C42—794no—
1962C42C23×D7911yescharacteristic
1963C42C23×D7912yes—
1964C42C23×D7911yescharacteristic
1965C42C23×D7914yes—
1966C42C23×D7911yescharacteristic
1967C42C23×D7912yes—
1968C42C23×D7911yescharacteristic
1969C42C23×D7914yes—
1970C42C23×D7914yes—
1971C23—3161no—
1972C23—3164no—
1973C23—3164no—
1974C23—3164no—
1975C23—3164no—
1976C23—3164no—
1977C23—792no—
1978C23—794no—
1979C23—792no—
1980C23—791no—
1981C23—791no—
1982C23—1584no—
1983C23—1588no—
1984C23C24×D7914yes—
1985C23C24×D7911yescharacteristic
1986Q8—24no—
1987Q8—44no—
1988Q8—42no—
1989Q8—42no—
1990Q8—3164no—
1991Q8—3164no—
1992Q8—3164no—
1993Q8—3161no—
1994Q8—3161no—
1995Q8—1584no—
1996D4—24no—
1997D4—44no—
1998D4—44no—
1999D4—3164no—
2000D4—3164no—
2001D4—3164no—
2002D4—3162no—
2003D4—3162no—
2004D4—3161no—
2005D4—3161no—
2006D4—3164no—
2007D4—3164no—
2008D4—3164no—
2009D4—3164no—
2010D4—3164no—
2011D4—3164no—
2012D4—3161no—
2013D4—3161no—
2014D4—3164no—
2015D4—3162no—
2016D4—1584no—
2017D4—1588no—
2018D4—1584no—
2019D4—1584no—
2020D4—1584no—
2021D4—1588no—
2022D4—1584no—
2023C2×C4—22no—
2024C2×C4—44no—
2025C2×C4—42no—
2026C2×C4—44no—
2027C2×C4—44no—
2028C2×C4—3162no—
2029C2×C4—3164no—
2030C2×C4—3164no—
2031C2×C4—3162no—
2032C2×C4—3162no—
2033C2×C4—3164no—
2034C2×C4—3164no—
2035C2×C4—3164no—
2036C2×C4—3164no—
2037C2×C4—3164no—
2038C2×C4—3162no—
2039C2×C4—3162no—
2040C2×C4—3164no—
2041C2×C4—3162no—
2042C2×C4—3162no—
2043C2×C4—3164no—
2044C2×C4—3164no—
2045C2×C4—3162no—
2046C2×C4—3164no—
2047C2×C4—3161no—
2048C2×C4—3164no—
2049C2×C4—792no—
2050C2×C4—792no—
2051C2×C4—792no—
2052C2×C4—794no—
2053C2×C4—792no—
2054C2×C4—794no—
2055C2×C4—794no—
2056C2×C4—791no—
2057C2×C4—791no—
2058C2×C4—1584no—
2059C2×C4—1588no—
2060C2×C4—1584no—
2061C2×C4—1584no—
2062C2×C4—1584no—
2063C2×C4—1582no—
2064C2×C4—1582no—
2065C2×C4C24×D7912yes—
2066C2×C4C24×D7912yes—
2067C2×C4C24×D7912yes—
2068C2×C4C24×D7912yes—
2069C2×C4C24×D7911yescharacteristic
2070C2×C4C24×D7914yes—
2071C2×C4C24×D7912yes—
2072C2×C4C24×D7914yes—
2073C2×C4C24×D7912yes—
2074C2×C4C24×D7914yes—
2075C2×C4C24×D7911yescharacteristic
2076C22—24no—
2077C22—22no—
2078C22—24no—
2079C22—21no—
2080C22—24no—
2081C22—3164no—
2082C22—794no—
2083C22—6328no—
2084C22—1582no—
2085C22—1582no—
2086C22—1584no—
2087C22—1584no—
2088C22—1582no—
2089C22—1582no—
2090C22—1582no—
2091C22—1584no—
2092C22—1581no—
2093C22—1581no—
2094C22—1582no—
2095C22—1582no—
2096C22—12644no—
2097C22C25×D7911yescharacteristic
2098C4—22no—
2099C4—24no—
2100C4—22no—
2101C4—22no—
2102C4—24no—
2103C4—22no—
2104C4—22no—
2105C4—22no—
2106C4—21no—
2107C4—24no—
2108C4—1582no—
2109C4—1582no—
2110C4—1584no—
2111C4—1584no—
2112C4—1581no—
2113C4—1581no—
2114C4—1584no—
2115C4—1582no—
2116C4—1582no—
2117C4#1909940012yes—
2118C2—41no—
2119C2—44no—
2120C2—3164no—
2121C2—3162no—
2122C2—3161no—
2123C2—3161no—
2124C2—1584no—
2125C2#585×D7912yes—
2126C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3557C2
hypercenter#3557D79
hypocenterC79#62829
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3557

Complements

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

NH ≅ G/Ntype
1. #23778080C2semidirect
2. #23778056C2semidirect
3. #23778022C2semidirect
4. #23777943C2semidirect
5. #23777906C2semidirect
6. #23777822C2semidirect
7. #23777648C2semidirect
8. #23777638C2semidirect
9. #23777625C2semidirect
10. #23777396C2semidirect
11. #23777388C2semidirect
12. #23777381C2semidirect
13. #23777377C2semidirect
14. #23777364C2semidirect
15. #23777360C2semidirect
16. #23777346C2semidirect
17. #23777343C2semidirect
18. #23777339C2semidirect
19. #23777330C2semidirect
20. #23777323C2semidirect
21. #23777319C2semidirect
22. #23777292C2semidirect
23. #23777118C2semidirect
24. #23777095C2semidirect
25. #23776697C2semidirect
26. #529×D79C2semidirect
27. C79×#3557C2semidirect
28. #19099315C22semidirect
29. #19099315C22semidirect
30. #19099312C22semidirect
31. #19099310C22semidirect
32. #19099307C22semidirect
33. #19099304C22semidirect
35. #19099298C22semidirect
36. #19099297C22semidirect
37. #19099295C22semidirect
38. #19099291C22semidirect
39. #19099286C22semidirect
40. #19099286C22semidirect
41. #19099284C22semidirect
42. #19099280C22semidirect
43. #19099280C22semidirect
44. #19099278C22semidirect
45. #19099276C22semidirect
46. #19099276C22semidirect
47. #19099274C22semidirect
48. #19099274C22semidirect
49. #19099273C22semidirect
50. #19099273C22semidirect
51. #19099267C22semidirect
53. #19099266C22semidirect
54. #19099266C22semidirect
55. #19099266C22semidirect
56. #19099264C22semidirect
57. #19099264C22semidirect
58. #19099264C22semidirect
60. #19099263C22semidirect
61. #19099261C22semidirect
62. #19099260C22semidirect
63. #19099258C22semidirect
64. #19099258C22semidirect
65. #19099256C22semidirect
66. #19099254C22semidirect
67. #19099254C22semidirect
68. #19099254C22semidirect
69. #19099251C22semidirect
70. #19099251C22semidirect
71. #19099251C22semidirect
72. #19099250C22semidirect
73. #19099248C22semidirect
74. #19099247C22semidirect
75. #19099247C22semidirect
76. #19099246C22semidirect
77. #19099245C22semidirect
78. #19099245C22semidirect
79. #19099245C22semidirect
80. #19099245C22semidirect
81. #19099243C22semidirect
82. #19099243C22semidirect
83. #19099242C22semidirect
84. #19099240C22semidirect
85. #19099240C22semidirect
86. #19099240C22semidirect
87. #19099238C22semidirect
88. #19099238C22semidirect
89. #19099238C22semidirect
90. #19099238C22semidirect
91. #19099237C22semidirect
92. #19099236C22semidirect
93. #19099236C22semidirect
94. #19099236C22semidirect
95. Q8×D316C22semidirect
96. #19099228C22semidirect
97. #19099225C22semidirect
98. #19099225C22semidirect
99. #19099221C22semidirect
100. #19099221C22semidirect
101. #19099218C22semidirect
102. #19099216C22semidirect
103. #19099216C22semidirect
104. #19099215C22semidirect
105. #19099208C22semidirect
106. #19099208C22semidirect
107. #19099206C22semidirect
108. #19099206C22semidirect
109. #19099206C22semidirect
110. #19099206C22semidirect
111. #19099205C22semidirect
112. #19099205C22semidirect
113. #19099204C22semidirect
114. #19099204C22semidirect
118. #19099193C22semidirect
119. #19099188C22semidirect
120. #19099187C22semidirect
121. #19099187C22semidirect
122. #19099186C22semidirect
123. #19099184C22semidirect
124. #19099183C22semidirect
125. #19099183C22semidirect
126. #19099182C22semidirect
127. #19099182C22semidirect
128. #19099176C22semidirect
129. #19099176C22semidirect
130. #19099175C22semidirect
131. #19099174C22semidirect
132. #19099174C22semidirect
133. #19099173C22semidirect
134. #19099170C22semidirect
135. #19099169C22semidirect
137. #19099167C22semidirect
138. #19099165C22semidirect
139. #19099164C22semidirect
140. #19099162C22semidirect
141. #19099161C22semidirect
142. #19099161C22semidirect
143. #19099161C22semidirect
144. #19099159C22semidirect
145. #19099159C22semidirect
146. #19099159C22semidirect
147. #19099156C22semidirect
148. #19099154C22semidirect
149. #19099153C22semidirect
150. #19099152C22semidirect
151. #19099152C22semidirect
152. #19099152C22semidirect
154. #19099149C22semidirect
155. #19099149C22semidirect
156. #19099149C22semidirect
157. #19099147C22semidirect
158. #19099146C22semidirect
159. #19099143C22semidirect
160. #19099143C22semidirect
161. #19099142C22semidirect
162. #19099136C22semidirect
165. #19099118C22semidirect
166. #19099118C22semidirect
167. #19099114C22semidirect
168. #19099114C22semidirect
169. #19099113C22semidirect
170. #19099111C22semidirect
171. #19099100C22semidirect
172. #19099100C22semidirect
173. #19099100C22semidirect
174. #19099100C22semidirect
175. #19099100C22semidirect
176. #19099100C22semidirect
177. #19099099C22semidirect
178. #19099099C22semidirect
179. #19099099C22semidirect
180. #19099098C22semidirect
181. #19099098C22semidirect
182. #19099098C22semidirect
183. #19099098C22semidirect
184. #19099097C22semidirect
185. #19099096C22semidirect
186. #19099096C22semidirect
187. #19099095C22semidirect
188. #19099095C22semidirect
189. #19099095C22semidirect
190. #19099094C22semidirect
191. #19099093C22semidirect
192. #19099092C22semidirect
193. #19099091C22semidirect
194. #19099091C22semidirect
195. #19099090C22semidirect
196. #126×D79C22semidirect
197. #125×D79C22semidirect
198. #125×D79C22semidirect
199. #125×D79C22semidirect
200. #124×D79C22semidirect
201. #124×D79C22semidirect
202. #19099076C22semidirect
203. #19099076C22semidirect
204. #19099076C22semidirect
206. #19099075C22semidirect
207. #19099072C22semidirect
208. C2×#14579146C22semidirect
209. #123×D79C22semidirect
210. #123×D79C22semidirect
211. C22⋊Q8×D79C22semidirect
213. #19099045C22semidirect
214. #19099045C22semidirect
215. #19099044C22semidirect
216. #19099042C22semidirect
217. #19099039C22semidirect
218. #19099037C22semidirect
219. #19099035C22semidirect
220. #19099035C22semidirect
221. C4×#11929625C22semidirect
222. C4×#11929625C22semidirect
223. #19099031C22semidirect
224. #19099031C22semidirect
225. C4×Q8×D79C22semidirect
226. C4×D4×D79C22semidirect
227. C4×D4×D79C22semidirect
228. #117×D79C22semidirect
229. C2×C42×D79C22semidirect
230. #563×C79C22semidirect
231. #559×C79C22semidirect
232. #557×C79C22semidirect
233. #556×C79C22semidirect
234. #554×C79C22semidirect
235. #552×C79C22semidirect
236. #542×C79C22semidirect
237. #542×C79C22semidirect
238. #541×C79C22semidirect
240. #539×C79C22semidirect
241. #533×C79C22semidirect
242. #529×C79C22semidirect
1069. #3557D79semidirect
1091. C79#62829semidirect
1095. #563C2×D79semidirect
1103. #559C2×D79semidirect
1105. #557C2×D79semidirect
1111. #556C2×D79semidirect
1120. #554C2×D79semidirect
1150. #552C2×D79semidirect
1198. #542C2×D79semidirect
1199. #542C2×D79semidirect
1207. #541C2×D79semidirect
1223. #539C2×D79semidirect
1242. #533C2×D79semidirect
1272. #529C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780802
#237780562
#237780222
#237779432
#237779062
#237778222
#237776482
#237776382
#237776252
#237773962
#237773882
#237773812
#237773772
#237773642
#237773602
#237773462
#237773432
#237773392
#237773302
#237773232
#237773192
#237772922
#237771182
#237770952
#237766972
#529×D792
C79×#35572
#6282979