Finite Group Databasebeta

← #35197256

Subgroups — #35197256

Order 20224.

6616 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777905C212yesmaximal, complemented
2#23777897C214yesmaximal, complemented
3#23777824C212yesmaximal, complemented
4#23777820C214yesmaximal, complemented
5#23777666C212yesmaximal, complemented
6#23777664C214yesmaximal, complemented
7#23777659C212yesmaximal, complemented
8#23777651C214yesmaximal, complemented
9#23777504C214yesmaximal, complemented
10#23777503C214yesmaximal, complemented
11#23777498C214yesmaximal, complemented
12#23777457C214yesmaximal, complemented
13#23777456C214yesmaximal, complemented
14#23777453C214yesmaximal, complemented
15#23777307C212yesmaximal, complemented
16#23777301C212yesmaximal, complemented
17#23777301C212yesmaximal, complemented
18#23777286C211yesmaximal, characteristic, complemented
19#23777279C212yesmaximal, complemented
20#23777274C212yesmaximal, complemented
21#23776695C212yesmaximal, complemented
22#23776693C211yesmaximal, characteristic, complemented
23C79×#3508C211yesmaximal, characteristic, complemented
24#19099316C2218yescomplemented
25#19099313C2214yescomplemented
26#19099306C2214yes—
27#19099302C2214yescomplemented
28#19099301C2218yescomplemented
29#19099300C2214yescomplemented
30#19099299C2214yescomplemented
31#19099299C2214yescomplemented
32#19099299C2214yescomplemented
33#19099297C2218yescomplemented
34#19099291C2214yescomplemented
35#19099290C2214yescomplemented
36#19099289C2214yescomplemented
37#19099284C2214yes—
38#19099283C2214yes—
39#19099283C2214yescomplemented
40#19099282C2214yescomplemented
41#19099282C2214yescomplemented
42#19099281C2214yes—
43#19099278C2214yescomplemented
44#19099277C2214yescomplemented
45#19099277C2214yescomplemented
46#19099277C2218yescomplemented
47#19099275C2214yescomplemented
48#19099272C2214yescomplemented
49#19099272C2214yescomplemented
50#19099270C2214yescomplemented
51#19099265C2214yescomplemented
52#19099265C2214yescomplemented
53#19099265C2218yescomplemented
54#19099263C2214yescomplemented
55#19099263C2214yescomplemented
56#19099262C2218yescomplemented
57#19099260C2214yescomplemented
58#19099260C2214yescomplemented
59#19099256C2218yescomplemented
60#19099254C2214yescomplemented
61#19099253C2214yescomplemented
62#19099253C2214yescomplemented
63#19099253C2218yescomplemented
64#19099252C2214yescomplemented
65#19099251C2214yescomplemented
66#19099250C2218yescomplemented
67#19099250C2218yescomplemented
68#19099247C2214yescomplemented
69#19099244C2214yes—
70#19099244C2214yescomplemented
71#19099239C2218yes—
72#19099239C2218yescomplemented
73#19099233C2214yes—
74#19099233C2214yes—
75#19099221C2214yescomplemented
76#19099221C2214yescomplemented
77#19099220C2214yescomplemented
78#19099220C2214yescomplemented
79#19099219C2214yescomplemented
80#19099219C2214yescomplemented
81#19099217C2214yescomplemented
82#19099212C2214yescomplemented
83#19099212C2214yescomplemented
84#19099207C2214yes—
85#19099207C2214yes—
86#19099207C2214yescomplemented
87#19099207C2214yescomplemented
88#19099182C2214yescomplemented
89#19099182C2214yescomplemented
90#19099181C2218yescomplemented
91#19099180C2214yescomplemented
92#19099180C2214yescomplemented
93#19099180C2218yescomplemented
94#19099178C2214yescomplemented
95#19099178C2214yescomplemented
96#19099177C2218yescomplemented
97#19099175C2212yescomplemented
98#19099175C2212yescomplemented
99#19099173C2214yescomplemented
100#19099171C2214yescomplemented
101#19099167C2214yes—
102#19099167C2218yescomplemented
103#19099167C2214yescomplemented
104#19099165C2218yescomplemented
105#19099163C2218yescomplemented
106#19099158C2218yescomplemented
107#19099157C2218yescomplemented
108#19099155C2218yescomplemented
109#19099151C2218yes—
110#19099148C2218yes—
111#19099148C2218yes—
112#19099142C2214yescomplemented
113#19099142C2214yescomplemented
114#19099141C2214yescomplemented
115#19099136C2214yes—
116#19099134C2212yes—
117#19099130C2214yes—
118#19099120C2211yescharacteristic, complemented
119#19099120C2212yescomplemented
120#19099120C2212yescomplemented
121#19099118C2212yescomplemented
122#19099118C2212yescomplemented
123#19099118C2212yescomplemented
124#19099117C2212yescomplemented
125#19099116C2211yescharacteristic, complemented
126#19099111C2212yes—
127#19099111C2212yes—
128#19099111C2212yescomplemented
129#19099111C2212yescomplemented
130#19099110C2212yes—
131#19099109C2211yescharacteristic
132C2×#14579161C2211yescharacteristic, complemented
133C4⋊Q8×D79C2212yescomplemented
134#19099100C2212yescomplemented
135#19099095C2212yes—
136#19099095C2214yescomplemented
137#19099095C2214yescomplemented
138#19099094C2214yescomplemented
139#19099094C2214yescomplemented
140#19099094C2218yescomplemented
141#19099093C2212yes—
142#19099093C2218yescomplemented
143#19099093C2212yescomplemented
144#19099092C2214yescomplemented
145#19099092C2214yescomplemented
146#19099091C2212yes—
147#19099091C2212yescomplemented
148#19099090C2218yescomplemented
149C2×#14579154C2218yescomplemented
150#19099075C2211yescharacteristic, complemented
151#19099073C2214yescomplemented
152#19099073C2214yescomplemented
153#19099072C2212yes—
154#19099072C2212yescomplemented
155#19099070C2211yescharacteristic
156#19099070C2214yescomplemented
157#19099046C2214yescomplemented
158#19099042C2214yescomplemented
159#19099042C2214yescomplemented
160#19099040C2212yescomplemented
161#19099039C2214yescomplemented
162#19099038C2214yescomplemented
163#41×Dic79C2214yescomplemented
164C4×#11929624C2212yes—
165C4×#11929624C2211yescharacteristic, complemented
166C4×#11929624C2212yescomplemented
167C4×#11929623C2214yescomplemented
168C4×#11929623C2214yescomplemented
169C2×C42×D79C2211yescharacteristic, complemented
170#559×C79C2214yescomplemented
171#550×C79C2214yes—
172#546×C79C2214yes—
173#546×C79C2214yescomplemented
174#540×C79C2212yes—
175#540×C79C2212yescomplemented
176#535×C79C2212yes—
177#533×C79C2211yescharacteristic, complemented
178#532×C79C2212yes—
179#532×C79C2212yescomplemented
180C2×#127×C79C2211yescharacteristic, complemented
181#518×C79C2212yescomplemented
182C4×#41×C79C2211yescharacteristic
183C2×#11929624C2312yes—
184C2×#11929624C2312yes—
185C2×#11929624C2311yescharacteristic
186C2×#11929623C2314yes—
187C2×#11929623C2314yes—
188C2×#11929623C2314yes—
189C2×#11929623C2314yes—
190C22×Dic158C2312yes—
191C2×Q8×D79C2314yes—
192C22×C4×D79C2311yescharacteristic
193C22×C4×D79C2312yes—
194#14579161C2312yes—
195#14579161C2314yes—
196#14579161C2312yes—
197#14579161C2312yes—
198#14579160C2318yes—
199#14579160C2314yes—
200#14579160C2314yes—
201#14579160C2312yes—
202#14579159C2314yes—
203#14579159C2314yes—
204#14579159C2311yescharacteristic
205#14579157C2318yes—
206#14579157C2311yescharacteristic
207#14579156C2318yes—
208#14579156C2312yes—
209#14579156C2312yes—
210#14579155C2318yes—
211#14579154C2318yes—
212#14579154C2318yes—
213#14579154C2318yes—
214#14579154C2318yes—
215#14579154C2318yes—
216#14579154C2318yes—
217#14579154C2318yes—
218#14579154C2318yes—
219#14579154C2318yes—
220#14579154C2318yes—
221#14579154C2318yes—
222#14579154C2312yes—
223#14579154C2318yes—
224#14579154C2312yes—
225#14579153C2318yes—
226#14579153C2314yes—
227#14579153C2312yes—
228#14579153C2314yes—
229#14579152C2318yes—
230#14579152C2314yes—
231#14579152C2314yes—
232#14579152C2312yes—
233#14579152C2314yes—
234#14579151C2318yes—
235#14579151C2318yes—
236#14579151C2318yes—
237#14579151C2318yes—
238#14579151C2312yes—
239#14579151C2312yes—
240#14579150C2311yescharacteristic
241#14579148C2314yes—
242#14579148C2318yes—
243#14579148C2314yes—
244#14579148C2314yes—
245#14579148C2318yes—
246#14579148C2318yes—
247#14579148C2314yes—
248#14579148C2314yes—
249#14579148C2311yescharacteristic
250#14579147C2318yes—
251#14579147C2318yes—
252#14579147C2318yes—
253#14579147C2318yes—
254#14579147C2318yes—
255#14579147C2312yes—
256#14579147C2312yes—
257#14579146C2318yes—
258#14579146C2312yes—
259#14579146C2312yes—
260#14579145C2318yes—
261#14579145C2318yes—
262#14579145C2312yes—
263#14579144C2318yes—
264#14579144C2318yes—
265#14579143C2318yes—
266#14579143C2318yes—
267#14579143C2318yes—
268#14579143C2312yes—
269#14579143C2312yes—
270#14579142C2314yes—
271#14579142C2318yes—
272#14579142C2318yes—
273#14579142C2318yes—
274#14579142C2318yes—
275#14579142C2314yes—
276#14579142C2318yes—
277#14579142C2318yes—
278#14579142C2318yes—
279#14579142C2311yescharacteristic
280#14579142C2311yescharacteristic
281#14579141C2314yes—
282#14579141C2314yes—
283#14579141C2312yes—
284#14579141C2314yes—
285#14579140C2314yes—
286#14579140C2318yes—
287#14579140C2314yes—
288#14579140C2314yes—
289#14579140C2318yes—
290#14579140C2314yes—
291#14579140C2318yes—
292#14579140C2314yes—
293#14579139C2312yes—
294#14579139C2312yes—
295#14579138C2318yes—
296#14579138C2318yes—
297#14579138C2318yes—
298#14579138C2318yes—
299#14579138C2312yes—
300#14579138C2318yes—
301#14579138C2312yes—
302#14579138C2318yes—
303#14579137C2314yes—
304#14579137C2314yes—
305#14579137C2312yes—
306#14579137C2314yes—
307#14579136C2312yes—
308#14579135C2318yes—
309#14579134C2318yes—
310#14579134C2318yes—
311#14579134C2312yes—
312#14579134C2312yes—
313#14579133C2318yes—
314#14579133C2318yes—
315#14579133C2318yes—
316#14579133C2318yes—
317#14579133C2312yes—
318#14579133C2318yes—
319#14579133C2318yes—
320#14579133C2318yes—
321#14579133C2312yes—
322#14579133C2318yes—
323#14579132C2314yes—
324#14579132C2314yes—
325#14579132C2318yes—
326#14579132C2318yes—
327#14579132C2314yes—
328#14579132C2314yes—
329#14579132C2312yes—
330#14579132C2314yes—
331#14579132C2314yes—
332#14579132C2314yes—
333#14579132C2314yes—
334#14579131C2312yes—
335#14579130C2318yes—
336#14579130C2318yes—
337#14579129C2311yescharacteristic
338#14579129C2318yes—
339#14579129C2311yescharacteristic
340Q8×Dic79C2314yes—
341Q8×Dic79C2314yes—
342Q8×Dic79C2314yes—
343C4×Dic158C2314yes—
344C4×Dic158C2314yes—
345C4×Dic158C2314yes—
346C4×Dic158C2318yes—
347C4×Dic158C2314yes—
348C4×Dic158C2314yes—
349C4×Dic158C2312yes—
350C4×Dic158C2312yes—
351C4×Dic158C2312yes—
352C4×Dic158C2312yes—
353C4×Dic158C2312yes—
354#14579126C2314yes—
355#14579126C2314yes—
356#14579126C2318yes—
357#14579126C2318yes—
358#14579126C2314yes—
359C4×D316C2312yes—
360C4×D316C2312yes—
361C4×D316C2312yes—
362C4×D316C2312yes—
363C4×D316C2312yes—
364D4×Dic79C2318yes—
365D4×Dic79C2318yes—
366D4×Dic79C2318yes—
367D4×Dic79C2318yes—
368D4×Dic79C2314yes—
369D4×Dic79C2314yes—
370D4×Dic79C2314yes—
371D4×Dic79C2314yes—
372D4×Dic79C2318yes—
373D4×Dic79C2314yes—
374D4×Dic79C2314yes—
375D4×Dic79C2314yes—
376D4×Dic79C2314yes—
377D4×Dic79C2318yes—
378C4×C22⋊D79C2318yes—
379C4×C22⋊D79C2318yes—
380C4×C22⋊D79C2318yes—
381C4×C22⋊D79C2312yes—
382C4×C22⋊D79C2312yes—
383C4×C22⋊D79C2312yes—
384C4×C22⋊D79C2312yes—
385C4×C22⋊D79C2312yes—
386C4×C22⋊D79C2312yes—
387C4×C22⋊D79C2312yes—
388C4×C22⋊D79C2312yes—
389C4×C22⋊D79C2312yes—
390C4×C22⋊D79C2312yes—
391C4×C22⋊D79C2318yes—
392(C22⋊D79)⋊C4C2318yes—
393(C22⋊D79)⋊C4C2318yes—
394(C22⋊D79)⋊C4C2318yes—
395(C22⋊D79)⋊C4C2318yes—
396#14579120C2312yes—
397#14579120C2311yescharacteristic
398#14579120C2312yes—
399#14579120C2318yes—
400#14579120C2318yes—
401#14579120C2314yes—
402#14579120C2314yes—
403#14579120C2312yes—
404#14579119C2314yes—
405#14579119C2318yes—
406#14579119C2314yes—
407#14579119C2314yes—
408#14579118C2312yes—
409#14579118C2312yes—
410#14579118C2318yes—
411#14579118C2312yes—
412#14579118C2312yes—
413#14579118C2312yes—
414#14579117C2318yes—
415#14579117C2318yes—
416#14579117C2318yes—
417#14579117C2318yes—
418#14579117C2318yes—
419C2×C4⋊Dic79C2314yes—
420C2×C4⋊Dic79C2318yes—
421C2×Dic79⋊C4C2318yes—
422C2×Dic79⋊C4C2318yes—
423C4⋊C4×D79C2314yes—
424C4⋊C4×D79C2314yes—
425C2×C22⋊Dic79C2318yes—
426C2×C22⋊Dic79C2318yes—
427C2×C4×Dic79C2312yes—
428C2×C4×Dic79C2311yescharacteristic
429C2×C4×Dic79C2318yes—
430C42×D79C2312yes—
431C42×D79C2312yes—
432C42×D79C2312yes—
433C42×D79C2312yes—
434C42×D79C2312yes—
435C2×#41×C79C2314yes—
436C2×#41×C79C2314yes—
437C2×#41×C79C2311yescharacteristic
438C22×D4×C79C2312yes—
439C22×D4×C79C2314yes—
440C4⋊Q8×C79C2312yes—
441#127×C79C2314yes—
442#127×C79C2314yes—
443#127×C79C2312yes—
444#127×C79C2312yes—
445#125×C79C2312yes—
446#124×C79C2314yes—
447#124×C79C2314yes—
448#124×C79C2314yes—
449#123×C79C2318yes—
450#123×C79C2318yes—
451C22⋊Q8×C79C2314yes—
452#121×C79C2314yes—
453#121×C79C2314yes—
454#121×C79C2318yes—
455#121×C79C2318yes—
456#121×C79C2314yes—
457#121×C79C2314yes—
458#120×C79C2314yes—
459#120×C79C2314yes—
460C4×Q8×C79C2314yes—
461C4×Q8×C79C2312yes—
462C4×D4×C79C2318yes—
463C4×D4×C79C2314yes—
464C4×D4×C79C2314yes—
465C4×D4×C79C2314yes—
466C4×D4×C79C2312yes—
467C4×D4×C79C2312yes—
468C4×D4×C79C2312yes—
469C4×D4×C79C2314yes—
470#117×C79C2311yescharacteristic
471#117×C79C2311yescharacteristic
472#117×C79C2311yescharacteristic
473#117×C79C2312yes—
474C2×C22⋊C4×C79C2318yes—
475C2×C42×C79C2311yescharacteristic
476C2×C42×C79C2311yescharacteristic
477C2×C42×C79C2311yescharacteristic
478C23×D79C2411yescharacteristic
479#11929624—42no—
480#11929624—44no—
481#11929624—44no—
482#11929623—48no—
483#11929623—48no—
484#11929623—48no—
485#11929623—48no—
486C2×Dic158—44no—
487C2×Dic158C2414yes—
488C2×Dic158C2414yes—
489C2×Dic158C2418yes—
490C2×Dic158C2414yes—
491C2×Dic158C2411yescharacteristic
492C2×Dic158C2412yes—
493C2×Dic158C2412yes—
494Q8×D79—48no—
495C2×D316C2412yes—
496C2×D316C2412yes—
497C2×D316C2411yescharacteristic
498C2×C22⋊D79C2418yes—
499C2×C22⋊D79C2418yes—
500C2×C22⋊D79C2418yes—
501C2×C22⋊D79C2418yes—
502C2×C22⋊D79C2412yes—
503C2×C22⋊D79C2412yes—
504C2×C22⋊D79C2412yes—
505C2×C22⋊D79C2412yes—
506C2×C22⋊D79C2412yes—
507C22×Dic79C2414yes—
508C22×Dic79C2418yes—
509C22×Dic79C2418yes—
510C22×Dic79C2418yes—
511C22×Dic79C2418yes—
512C22×Dic79C2411yescharacteristic
513C22×Dic79C2412yes—
514C2×C4×D79—42no—
515C2×C4×D79—44no—
516C2×C4×D79C2412yes—
517C2×C4×D79C2412yes—
518C2×C4×D79C2412yes—
519C2×C4×D79C2412yes—
520C2×C4×D79C2412yes—
521C2×C4×D79C2412yes—
522C2×C4×D79C2418yes—
523C2×C4×D79C2412yes—
524C2×C4×D79C2412yes—
525C2×C4×D79C2412yes—
526C4⋊Dic79C2414yes—
527C4⋊Dic79C2414yes—
528C4⋊Dic79C2412yes—
529C4⋊Dic79C2418yes—
530C4⋊Dic79C2414yes—
531C4⋊Dic79C2414yes—
532C4⋊Dic79C2418yes—
533C4⋊Dic79C2418yes—
534C4⋊Dic79C2412yes—
535C4⋊Dic79C2412yes—
536C4⋊Dic79C2412yes—
537C4⋊Dic79C2418yes—
538C4⋊Dic79C2412yes—
539Dic79⋊C4C2418yes—
540Dic79⋊C4C2418yes—
541Dic79⋊C4C2412yes—
542Dic79⋊C4C2412yes—
543Dic79⋊C4C2418yes—
544Dic79⋊C4C2418yes—
545Dic79⋊C4C2418yes—
546Dic79⋊C4C2418yes—
547Dic79⋊C4C2412yes—
548Dic79⋊C4C2412yes—
549Dic79⋊C4C2418yes—
550Dic79⋊C4C2418yes—
551Dic79⋊C4C2418yes—
552Dic79⋊C4C2412yes—
553Dic79⋊C4C2412yes—
554Dic79⋊C4C2412yes—
555Dic79⋊C4C2412yes—
556Dic79⋊C4C2412yes—
557Dic79⋊C4C2412yes—
558Dic79⋊C4C2418yes—
559C22⋊Dic79C2412yes—
560C22⋊Dic79C2412yes—
561C22⋊Dic79C2418yes—
562C22⋊Dic79C2418yes—
563C22⋊Dic79C2418yes—
564C22⋊Dic79C2418yes—
565C22⋊Dic79C2418yes—
566C22⋊Dic79C2414yes—
567C22⋊Dic79C2418yes—
568C22⋊Dic79C2418yes—
569C22⋊Dic79C2412yes—
570C22⋊Dic79C2412yes—
571C22⋊Dic79C2411yescharacteristic
572C22⋊Dic79C2411yescharacteristic
573C22⋊Dic79C2418yes—
574C22⋊Dic79C2418yes—
575C22⋊Dic79C2418yes—
576(C2×D79)⋊C4C2412yes—
577(C2×D79)⋊C4C2412yes—
578(C2×D79)⋊C4C2418yes—
579(C2×D79)⋊C4C2412yes—
580(C2×D79)⋊C4C2412yes—
581(C2×D79)⋊C4C2412yes—
582(C2×D79)⋊C4C2412yes—
583(C2×D79)⋊C4C2412yes—
584(C2×D79)⋊C4C2412yes—
585(C2×D79)⋊C4C2412yes—
586(C2×D79)⋊C4C2412yes—
587(C2×D79)⋊C4C2418yes—
588(C2×D79)⋊C4C2418yes—
589C4×Dic79C2412yes—
590C4×Dic79C2411yescharacteristic
591C4×Dic79C2412yes—
592C4×Dic79C2412yes—
593C4×Dic79C2412yes—
594C4×Dic79C2412yes—
595C4×Dic79C2411yescharacteristic
596C4×Dic79C2412yes—
597C4×Dic79C2412yes—
598C4×Dic79C2412yes—
599C4×Dic79C2418yes—
600C4×Dic79C2418yes—
601C4×Dic79C2418yes—
602C4×Dic79C2414yes—
603C4×Dic79C2418yes—
604C4×Dic79C2418yes—
605C24×C79C2414yes—
606#41×C79—42no—
607#41×C79—48no—
608#41×C79—48no—
609C2×Q8×C79C2414yes—
610C2×Q8×C79C2411yescharacteristic
611C2×D4×C79—48no—
612C2×D4×C79—44no—
613C2×D4×C79C2414yes—
614C2×D4×C79C2414yes—
615C2×D4×C79C2414yes—
616C2×D4×C79C2411yescharacteristic
617C2×D4×C79C2411yescharacteristic
618C2×D4×C79C2414yes—
619C2×D4×C79C2411yescharacteristic
620C2×D4×C79C2418yes—
621C2×D4×C79C2418yes—
622C2×D4×C79C2418yes—
623C22×C4×C79C2411yescharacteristic
624C22×C4×C79C2411yescharacteristic
625C22×C4×C79C2412yes—
626C22×C4×C79C2412yes—
627C22×C4×C79C2411yescharacteristic
628C22×C4×C79C2412yes—
629C22×C4×C79C2418yes—
630C22×C4×C79C2418yes—
631C4⋊C4×C79C2412yes—
632C4⋊C4×C79C2414yes—
633C4⋊C4×C79C2412yes—
634C4⋊C4×C79C2412yes—
635C4⋊C4×C79C2414yes—
636C4⋊C4×C79C2418yes—
637C22⋊C4×C79C2412yes—
638C22⋊C4×C79C2414yes—
639C22⋊C4×C79C2418yes—
640C22⋊C4×C79C2418yes—
641C22⋊C4×C79C2412yes—
642C22⋊C4×C79C2412yes—
643C22⋊C4×C79C2418yes—
644C22⋊C4×C79C2418yes—
645C42×C79C2411yescharacteristic
646C42×C79C2411yescharacteristic
647C42×C79C2411yescharacteristic
648C42×C79C2411yescharacteristic
649C42×C79C2412yes—
650C42×C79C2412yes—
651C42×C79C2412yes—
652C42×C79C2414yes—
653C23×C79—48no—
654C23×C79—44no—
655C23×C79C2511yescharacteristic
656C23×C79C2511yescharacteristic
657C23×C79C2518yes—
658C23×C79C2511yescharacteristic
659C22×D79—41no—
660C22×D79—42no—
661C22×D79C2512yes—
662C22×D79C2512yes—
663Q8×C79—28no—
664Q8×C79—41no—
665D4×C79—28no—
666D4×C79—28no—
667D4×C79—28no—
668D4×C79—44no—
669D4×C79—48no—
670D4×C79—41no—
671D4×C79—41no—
672D4×C79—41no—
673D4×C79—48no—
674D4×C79—48no—
675C2×C4×C79—22no—
676C2×C4×C79—24no—
677C2×C4×C79—22no—
678C2×C4×C79—24no—
679C2×C4×C79—24no—
680C2×C4×C79—22no—
681C2×C4×C79—48no—
682C2×C4×C79—48no—
683C2×C4×C79C2512yes—
684C2×C4×C79C2511yescharacteristic
685C2×C4×C79C2512yes—
686C2×C4×C79C2518yes—
687C2×C4×C79C2511yescharacteristic
688C2×C4×C79C2511yescharacteristic
689C2×C4×C79C2512yes—
690C2×C4×C79C2512yes—
691C2×C4×C79C2511yescharacteristic
692C22⋊D79—48no—
693C22⋊D79—48no—
694C22⋊D79—48no—
695C22⋊D79—48no—
696C22⋊D79—42no—
697C22⋊D79—42no—
698C22⋊D79—42no—
699C22⋊D79—42no—
700C22⋊D79—42no—
701C2×Dic79—42no—
702C2×Dic79—41no—
703C2×Dic79—44no—
704C2×Dic79—48no—
705C2×Dic79—48no—
706C2×Dic79—48no—
707C2×Dic79—48no—
708C2×Dic79C2512yes—
709C2×Dic79C2512yes—
710C2×Dic79C2512yes—
711C2×Dic79C2518yes—
712C2×Dic79C2518yes—
713C2×Dic79C2512yes—
714C2×Dic79C2512yes—
715C2×Dic79C2512yes—
716D316—42no—
717D316—42no—
718D316—41no—
719C4×D79—24no—
720C4×D79—24no—
721C4×D79—24no—
722C4×D79—24no—
723C4×D79—24no—
724C4×D79—24no—
725C4×D79—42no—
726C4×D79—42no—
727C4×D79—42no—
728C4×D79—48no—
729Dic158—28no—
730Dic158—28no—
731Dic158—48no—
732Dic158—44no—
733Dic158—42no—
734Dic158—42no—
735Dic158—41no—
736C22×C79—22no—
737C22×C79—21no—
738C22×C79—22no—
739C22×C79—28no—
740C22×C79—28no—
741C22×C79—28no—
742C22×C79—22no—
743C22×C79—21no—
744C22×C79—21no—
745C22×C79—164no—
746C22×C79C2611yescharacteristic
747C2×D79—22no—
748C2×D79—22no—
749C2×D79—22no—
750C2×D79—22no—
751C2×D79—22no—
752C2×D79—22no—
753C2×D79—44no—
754C4×C79—22no—
755C4×C79—22no—
756C4×C79—21no—
757C4×C79—22no—
758C4×C79—21no—
759C4×C79—21no—
760C4×C79—28no—
761C4×C79#58514yes—
762C4×C79#58512yes—
763Dic79—28no—
764Dic79—28no—
765Dic79—22no—
766Dic79—22no—
767Dic79—22no—
768Dic79—22no—
769Dic79—22no—
770Dic79—22no—
771#62839—791nomaximal, Sylow
772C2×C79—41no—
773C2×C79—41no—
774C2×C79—48no—
775C2×C79—41no—
776C2×C79C2×#58512yes—
777C2×C79C2×#58511yescharacteristic
778D79—42no—
779D79—42no—
780#3557—794no—
781#3557—792no—
782#3551—794no—
783#3551—792no—
784#3540—794no—
785#3540—792no—
786#3539—794no—
787#3539—792no—
788#3524—794no—
789#3524—794no—
790#3524—794no—
791#3521—794no—
792#3521—794no—
793#3521—794no—
794#3511—792no—
795#3511—792no—
796#3511—792no—
797#3509—792no—
798#3509—791no—
799#3508—792no—
800#3508D7911yescharacteristic, complemented
801#3444—792no—
802#3444—791no—
803C79#6283911yescharacteristic, complemented, Sylow
804#563—794no—
805#563—798no—
806H(3,𝔽4)—794no—
807#560—794no—
808#560—798no—
809#560—794no—
810#559—794no—
811#559—794no—
812#559—794no—
813#559—798no—
814#559C2×D7914yescomplemented
815#557—794no—
816#557—794no—
817#557—794no—
818#556—794no—
819#556—794no—
820#556—794no—
821#556—794no—
822#556—794no—
823#556—794no—
824#555—794no—
825#555—794no—
826#555—794no—
827#555—798no—
828#555—794no—
829#554—794no—
830#554—794no—
831#554—794no—
832#553—798no—
833#553—794no—
834#553—794no—
835#553—794no—
836#553—794no—
837#553—798no—
838#553—798no—
839#553—794no—
840#553—794no—
841#552—794no—
842#552—798no—
843#552—798no—
844#552—794no—
845#552—794no—
846#552—794no—
847#552—794no—
848#552—798no—
849#552—794no—
850#551—794no—
851#551—794no—
852#551—798no—
853#551—798no—
854#550—794no—
855#550—794no—
856#550C2×D7914yes—
857#548—794no—
858#548—794no—
859#548—794no—
860#548—794no—
861#548—794no—
862#548—794no—
863#547—794no—
864#547—794no—
865#547—794no—
866#546—794no—
867#546—794no—
868#546—794no—
869#546—794no—
870#546C2×D7914yes—
871#546C2×D7914yescomplemented
872#542—798no—
873#542—794no—
874#542—794no—
875#542—798no—
876#542—794no—
877#542—794no—
878#542—798no—
879#542—794no—
880#542—794no—
881#541—794no—
882#541—794no—
883#541—792no—
884#541—792no—
885#540—794no—
886#540—794no—
887#540—798no—
888#540—798no—
889#540—798no—
890#540C2×D7912yes—
891#540C2×D7912yescomplemented
892#539—798no—
893#539—798no—
894#539—798no—
895#538—798no—
896#538—798no—
897#538—798no—
898#537—794no—
899#537—794no—
900#537—794no—
901#536—792no—
902#536—794no—
903#535—794no—
904#535C2×D7912yes—
905#533—792no—
906#533—792no—
907#533—792no—
908#533—792no—
909#533—791no—
910#533—792no—
911#533—792no—
912#533—791no—
913#533C2×D7911yescharacteristic, complemented
914#532—791no—
915#532—792no—
916#532—792no—
917#532—792no—
918#532—792no—
919#532—792no—
920#532C2×D7912yes—
921#532C2×D7912yescomplemented
922C2×C4⋊Q8—792no—
923C2×C4⋊Q8—791no—
924C2×#127C2×D7911yescharacteristic, complemented
925#529—794no—
926#529—794no—
927#529—798no—
928#529—794no—
929#529—794no—
930#529—798no—
931#529—792no—
932#529—792no—
933#529—792no—
934#529—794no—
935#529—792no—
936#529—794no—
937#529—798no—
938#529—792no—
939#529—792no—
940C2×#126—798no—
941#525—791no—
942#525—794no—
943#525—794no—
944#525—794no—
945#525—792no—
946#525—792no—
947#525—791no—
948#520—794no—
949#520—794no—
950#520—794no—
951#519—794no—
952#519—792no—
953#518—794no—
954#518C2×D7912yescomplemented
955C4×#41—794no—
956C4×#41—794no—
957C4×#41—794no—
958C4×#41—792no—
959C4×#41—791no—
960C4×#41—792no—
961C4×#41C2×D7911yescharacteristic
962C22×C42—791no—
963C2×#41—794no—
964C2×#41—794no—
965C2×#41—794no—
966C2×#41—794no—
967C2×#41—792no—
968C2×#41—792no—
969C2×#41—791no—
970C2×#41C22×D7914yes—
971C2×#41C22×D7911yescharacteristic
972C2×#41C22×D7914yes—
973C22×Q8—794no—
974C22×Q8—792no—
975C22×D4C22×D7914yes—
976C22×D4C22×D7912yes—
977C23×C4—791no—
978C23×C4—792no—
979C4⋊Q8—794no—
980C4⋊Q8—791no—
981C4⋊Q8—794no—
982C4⋊Q8—794no—
983C4⋊Q8—794no—
984C4⋊Q8—792no—
985C4⋊Q8—798no—
986C4⋊Q8—792no—
987C4⋊Q8—792no—
988C4⋊Q8—792no—
989C4⋊Q8—794no—
990C4⋊Q8C22×D7912yes—
991#127—791no—
992#127—798no—
993#127C22×D7912yes—
994#127C22×D7914yes—
995#127C22×D7912yes—
996#127C22×D7914yes—
997#126—792no—
998#126—792no—
999#126—798no—
1000#126—792no—
1001#126—798no—
1002#126—798no—
1003#126—798no—
1004#126—798no—
1005#126—798no—
1006#126—798no—
1007#126—798no—
1008#126—792no—
1009#126—798no—
1010#126—798no—
1011#126—798no—
1012#126—798no—
1013#126—798no—
1014#126—798no—
1015#125—792no—
1016#125—792no—
1017#125—792no—
1018#125—794no—
1019#125—794no—
1020#125—798no—
1021#125—798no—
1022#125—798no—
1023#125—794no—
1024#125—798no—
1025#125—798no—
1026#125—794no—
1027#125—794no—
1028#125—792no—
1029#125—798no—
1030#125C22×D7912yes—
1031#124—791no—
1032#124—794no—
1033#124—794no—
1034#124—791no—
1035#124—798no—
1036#124—794no—
1037#124—794no—
1038#124—798no—
1039#124—794no—
1040#124—798no—
1041#124—792no—
1042#124—792no—
1043#124—798no—
1044#124—798no—
1045#124—798no—
1046#124—798no—
1047#124—798no—
1048#124C22×D7914yes—
1049#124C22×D7914yes—
1050#124C22×D7914yes—
1051#123—798no—
1052#123—791no—
1053#123—791no—
1054#123—798no—
1055#123—798no—
1056#123—798no—
1057#123—794no—
1058#123—794no—
1059#123—798no—
1060#123—798no—
1061#123—798no—
1062#123—798no—
1063#123—798no—
1064#123—792no—
1065#123—792no—
1066#123—798no—
1067#123—798no—
1068#123—798no—
1069#123—792no—
1070#123—792no—
1071#123—792no—
1072#123—798no—
1073#123—798no—
1074#123—798no—
1075#123C22×D7918yes—
1076#123C22×D7918yes—
1077C22⋊Q8—794no—
1078C22⋊Q8—792no—
1079C22⋊Q8—794no—
1080C22⋊Q8—794no—
1081C22⋊Q8—794no—
1082C22⋊Q8—794no—
1083C22⋊Q8—798no—
1084C22⋊Q8—794no—
1085C22⋊Q8—794no—
1086C22⋊Q8—794no—
1087C22⋊Q8—798no—
1088C22⋊Q8—798no—
1089C22⋊Q8—794no—
1090C22⋊Q8—792no—
1091C22⋊Q8—792no—
1092C22⋊Q8—792no—
1093C22⋊Q8—794no—
1094C22⋊Q8—794no—
1095C22⋊Q8—792no—
1096C22⋊Q8—792no—
1097C22⋊Q8—798no—
1098C22⋊Q8—798no—
1099C22⋊Q8—798no—
1100C22⋊Q8—798no—
1101C22⋊Q8—798no—
1102C22⋊Q8—798no—
1103C22⋊Q8C22×D7914yes—
1104#121—794no—
1105#121—794no—
1106#121—792no—
1107#121—792no—
1108#121—792no—
1109#121—794no—
1110#121—794no—
1111#121—798no—
1112#121—798no—
1113#121—794no—
1114#121—794no—
1115#121—794no—
1116#121—794no—
1117#121—798no—
1118#121—798no—
1119#121—798no—
1120#121—798no—
1121#121—798no—
1122#121—798no—
1123#121—798no—
1124#121—798no—
1125#121—798no—
1126#121—792no—
1127#121—792no—
1128#121—792no—
1129#121—798no—
1130#121—798no—
1131#121C22×D7914yes—
1132#121C22×D7914yes—
1133#121C22×D7918yes—
1134#121C22×D7914yes—
1135#121C22×D7914yes—
1136#121C22×D7918yes—
1137#120—798no—
1138#120—798no—
1139#120—791no—
1140#120—798no—
1141#120—791no—
1142#120—792no—
1143#120C22×D7914yes—
1144#120C22×D7914yes—
1145C4×Q8—794no—
1146C4×Q8—794no—
1147C4×Q8—794no—
1148C4×Q8—794no—
1149C4×Q8—794no—
1150C4×Q8—798no—
1151C4×Q8—798no—
1152C4×Q8—794no—
1153C4×Q8—794no—
1154C4×Q8—794no—
1155C4×Q8—792no—
1156C4×Q8—792no—
1157C4×Q8—792no—
1158C4×Q8—792no—
1159C4×Q8—792no—
1160C4×Q8—798no—
1161C4×Q8—794no—
1162C4×Q8—794no—
1163C4×Q8—794no—
1164C4×Q8C22×D7912yes—
1165C4×Q8C22×D7914yes—
1166C4×D4—794no—
1167C4×D4—794no—
1168C4×D4—798no—
1169C4×D4—798no—
1170C4×D4—794no—
1171C4×D4—794no—
1172C4×D4—798no—
1173C4×D4—798no—
1174C4×D4—794no—
1175C4×D4—794no—
1176C4×D4—798no—
1177C4×D4—798no—
1178C4×D4—794no—
1179C4×D4—794no—
1180C4×D4—798no—
1181C4×D4—792no—
1182C4×D4—792no—
1183C4×D4—792no—
1184C4×D4—792no—
1185C4×D4—792no—
1186C4×D4—792no—
1187C4×D4—798no—
1188C4×D4—792no—
1189C4×D4—792no—
1190C4×D4—792no—
1191C4×D4—792no—
1192C4×D4—798no—
1193C4×D4—798no—
1194C4×D4—798no—
1195C4×D4—798no—
1196C4×D4—798no—
1197C4×D4—798no—
1198C4×D4—792no—
1199C4×D4—792no—
1200C4×D4—792no—
1201C4×D4—792no—
1202C4×D4—792no—
1203C4×D4C22×D7914yes—
1204C4×D4C22×D7914yes—
1205C4×D4C22×D7912yes—
1206C4×D4C22×D7912yes—
1207C4×D4C22×D7912yes—
1208C4×D4C22×D7918yes—
1209C4×D4C22×D7914yes—
1210C4×D4C22×D7914yes—
1211#117—792no—
1212#117—792no—
1213#117—791no—
1214#117—794no—
1215#117—798no—
1216#117—794no—
1217#117—792no—
1218#117—798no—
1219#117—794no—
1220#117—794no—
1221#117—798no—
1222#117—794no—
1223#117—798no—
1224#117—798no—
1225#117—798no—
1226#117—798no—
1227#117—798no—
1228#117—792no—
1229#117—792no—
1230#117—792no—
1231#117—792no—
1232#117—792no—
1233#117—798no—
1234#117C22×D7911yescharacteristic
1235#117C22×D7911yescharacteristic
1236#117C22×D7911yescharacteristic
1237#117C22×D7912yes—
1238C2×C4⋊C4—798no—
1239C2×C4⋊C4—798no—
1240C2×C4⋊C4—798no—
1241C2×C4⋊C4—794no—
1242C2×C4⋊C4—794no—
1243C2×C4⋊C4—794no—
1244C2×C22⋊C4—798no—
1245C2×C22⋊C4—798no—
1246C2×C22⋊C4C22×D7918yes—
1247C2×C42—798no—
1248C2×C42—792no—
1249C2×C42—791no—
1250C2×C42—792no—
1251C2×C42—792no—
1252C2×C42—792no—
1253C2×C42—792no—
1254C2×C42—792no—
1255C2×C42C22×D7911yescharacteristic
1256C2×C42C22×D7911yescharacteristic
1257C2×C42C22×D7911yescharacteristic
1258C24—791no—
1259C24C23×D7914yes—
1260#41—42no—
1261#41—48no—
1262#41—48no—
1263#41—3164no—
1264#41—3164no—
1265#41—3162no—
1266#41—3168no—
1267#41—3168no—
1268#41—3168no—
1269#41—3168no—
1270C2×Q8—3164no—
1271C2×Q8—3168no—
1272C2×Q8—792no—
1273C2×Q8—791no—
1274C2×Q8—798no—
1275C2×Q8—794no—
1276C2×Q8—792no—
1277C2×Q8—794no—
1278C2×Q8—794no—
1279C2×Q8C23×D7914yes—
1280C2×Q8C23×D7911yescharacteristic
1281C2×D4—48no—
1282C2×D4—44no—
1283C2×D4—792no—
1284C2×D4—792no—
1285C2×D4—798no—
1286C2×D4—798no—
1287C2×D4—792no—
1288C2×D4—792no—
1289C2×D4—798no—
1290C2×D4—798no—
1291C2×D4—792no—
1292C2×D4—792no—
1293C2×D4—792no—
1294C2×D4—791no—
1295C2×D4C23×D7914yes—
1296C2×D4C23×D7914yes—
1297C2×D4C23×D7914yes—
1298C2×D4C23×D7918yes—
1299C2×D4C23×D7918yes—
1300C2×D4C23×D7918yes—
1301C2×D4C23×D7911yescharacteristic
1302C2×D4C23×D7911yescharacteristic
1303C2×D4C23×D7911yescharacteristic
1304C2×D4C23×D7914yes—
1305C22×C4—3164no—
1306C22×C4—3162no—
1307C22×C4—791no—
1308C22×C4—792no—
1309C22×C4—798no—
1310C22×C4—798no—
1311C22×C4—798no—
1312C22×C4—798no—
1313C22×C4—794no—
1314C22×C4—792no—
1315C22×C4—792no—
1316C22×C4—792no—
1317C22×C4—798no—
1318C22×C4—792no—
1319C22×C4—792no—
1320C22×C4—792no—
1321C22×C4—792no—
1322C22×C4—792no—
1323C22×C4—792no—
1324C22×C4C23×D7912yes—
1325C22×C4C23×D7911yescharacteristic
1326C22×C4C23×D7912yes—
1327C22×C4C23×D7912yes—
1328C22×C4C23×D7911yescharacteristic
1329C22×C4C23×D7911yescharacteristic
1330C22×C4C23×D7918yes—
1331C22×C4C23×D7918yes—
1332C4⋊C4—792no—
1333C4⋊C4—792no—
1334C4⋊C4—798no—
1335C4⋊C4—798no—
1336C4⋊C4—798no—
1337C4⋊C4—798no—
1338C4⋊C4—798no—
1339C4⋊C4—798no—
1340C4⋊C4—792no—
1341C4⋊C4—792no—
1342C4⋊C4—792no—
1343C4⋊C4—792no—
1344C4⋊C4—792no—
1345C4⋊C4—792no—
1346C4⋊C4—798no—
1347C4⋊C4—798no—
1348C4⋊C4—792no—
1349C4⋊C4—792no—
1350C4⋊C4—798no—
1351C4⋊C4—798no—
1352C4⋊C4—792no—
1353C4⋊C4—798no—
1354C4⋊C4—794no—
1355C4⋊C4—794no—
1356C4⋊C4—794no—
1357C4⋊C4—794no—
1358C4⋊C4—798no—
1359C4⋊C4—798no—
1360C4⋊C4—792no—
1361C4⋊C4—792no—
1362C4⋊C4—792no—
1363C4⋊C4—792no—
1364C4⋊C4—798no—
1365C4⋊C4C23×D7914yes—
1366C4⋊C4C23×D7914yes—
1367C4⋊C4C23×D7918yes—
1368C4⋊C4C23×D7912yes—
1369C4⋊C4C23×D7912yes—
1370C4⋊C4C23×D7912yes—
1371C22⋊C4—792no—
1372C22⋊C4—792no—
1373C22⋊C4—798no—
1374C22⋊C4—798no—
1375C22⋊C4—798no—
1376C22⋊C4—798no—
1377C22⋊C4—798no—
1378C22⋊C4—794no—
1379C22⋊C4—792no—
1380C22⋊C4—792no—
1381C22⋊C4—798no—
1382C22⋊C4—798no—
1383C22⋊C4—798no—
1384C22⋊C4—798no—
1385C22⋊C4—798no—
1386C22⋊C4—791no—
1387C22⋊C4—791no—
1388C22⋊C4—792no—
1389C22⋊C4—792no—
1390C22⋊C4—798no—
1391C22⋊C4—792no—
1392C22⋊C4—792no—
1393C22⋊C4—792no—
1394C22⋊C4—792no—
1395C22⋊C4—792no—
1396C22⋊C4—792no—
1397C22⋊C4—798no—
1398C22⋊C4—798no—
1399C22⋊C4—792no—
1400C22⋊C4—792no—
1401C22⋊C4C23×D7912yes—
1402C22⋊C4C23×D7914yes—
1403C22⋊C4C23×D7918yes—
1404C22⋊C4C23×D7918yes—
1405C22⋊C4C23×D7912yes—
1406C22⋊C4C23×D7918yes—
1407C22⋊C4C23×D7918yes—
1408C22⋊C4C23×D7912yes—
1409C42—792no—
1410C42—791no—
1411C42—792no—
1412C42—792no—
1413C42—792no—
1414C42—792no—
1415C42—791no—
1416C42—798no—
1417C42—798no—
1418C42—798no—
1419C42—792no—
1420C42—792no—
1421C42—792no—
1422C42—798no—
1423C42—794no—
1424C42—798no—
1425C42C23×D7911yescharacteristic
1426C42C23×D7911yescharacteristic
1427C42C23×D7912yes—
1428C42C23×D7912yes—
1429C42C23×D7912yes—
1430C42C23×D7911yescharacteristic
1431C42C23×D7911yescharacteristic
1432C42C23×D7914yes—
1433C23—48no—
1434C23—44no—
1435C23—3162no—
1436C23—3161no—
1437C23—792no—
1438C23—792no—
1439C23C24×D7911yescharacteristic
1440C23C24×D7911yescharacteristic
1441C23C24×D7918yes—
1442C23C24×D7911yescharacteristic
1443Q8—28no—
1444Q8—41no—
1445Q8—3168no—
1446Q8—3164no—
1447Q8—3162no—
1448Q8—3162no—
1449Q8—3161no—
1450Q8—1588no—
1451Q8—1588no—
1452D4—28no—
1453D4—28no—
1454D4—28no—
1455D4—48no—
1456D4—44no—
1457D4—48no—
1458D4—48no—
1459D4—41no—
1460D4—41no—
1461D4—41no—
1462D4—3162no—
1463D4—3162no—
1464D4—3161no—
1465D4—3162no—
1466D4—3168no—
1467D4—3168no—
1468D4—3162no—
1469D4—3162no—
1470D4—3162no—
1471D4—3162no—
1472D4—3168no—
1473D4—3168no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—48no—
1481C2×C4—48no—
1482C2×C4—3162no—
1483C2×C4—3162no—
1484C2×C4—3162no—
1485C2×C4—3168no—
1486C2×C4—3162no—
1487C2×C4—3161no—
1488C2×C4—3164no—
1489C2×C4—3168no—
1490C2×C4—3168no—
1491C2×C4—3168no—
1492C2×C4—3168no—
1493C2×C4—792no—
1494C2×C4—792no—
1495C2×C4—792no—
1496C2×C4—798no—
1497C2×C4—792no—
1498C2×C4—798no—
1499C2×C4—792no—
1500C2×C4—792no—
1501C2×C4—1584no—
1502C2×C4—1584no—
1503C2×C4—1584no—
1504C2×C4—1584no—
1505C2×C4—1584no—
1506C2×C4—1584no—
1507C2×C4C24×D7912yes—
1508C2×C4C24×D7911yescharacteristic
1509C2×C4C24×D7912yes—
1510C2×C4C24×D7918yes—
1511C2×C4C24×D7911yescharacteristic
1512C2×C4C24×D7911yescharacteristic
1513C2×C4C24×D7912yes—
1514C2×C4C24×D7912yes—
1515C2×C4C24×D7911yescharacteristic
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—28no—
1520C22—28no—
1521C22—21no—
1522C22—21no—
1523C22—21no—
1524C22—28no—
1525C22—164no—
1526C22—3164no—
1527C22—1582no—
1528C22—1582no—
1529C22—1582no—
1530C22—1582no—
1531C22—1582no—
1532C22—1582no—
1533C22C25×D7911yescharacteristic
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—28no—
1538C4—21no—
1539C4—21no—
1540C4—21no—
1541C4—1582no—
1542C4—1582no—
1543C4—1588no—
1544C4—1582no—
1545C4—1582no—
1546C4—1582no—
1547C4—1582no—
1548C4—1588no—
1549C4#1909939814yes—
1550C4#1909939912yes—
1551C2—41no—
1552C2—48no—
1553C2—41no—
1554C2—41no—
1555C2—3162no—
1556C2—3162no—
1557C2C2×#1909939812yes—
1558C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3508C2
hypercenter#3508D79
hypocenterC79#62839
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3508

Complements

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

NH ≅ G/Ntype
1. #23777905C2semidirect
2. #23777897C2semidirect
3. #23777824C2semidirect
4. #23777820C2semidirect
5. #23777666C2semidirect
6. #23777664C2semidirect
7. #23777659C2semidirect
8. #23777651C2semidirect
9. #23777504C2semidirect
10. #23777503C2semidirect
11. #23777498C2semidirect
12. #23777457C2semidirect
13. #23777456C2semidirect
14. #23777453C2semidirect
15. #23777307C2semidirect
16. #23777301C2semidirect
17. #23777301C2semidirect
18. #23777286C2semidirect
19. #23777279C2semidirect
20. #23777274C2semidirect
21. #23776695C2semidirect
22. #23776693C2semidirect
23. C79×#3508C2semidirect
24. #19099316C22semidirect
25. #19099313C22semidirect
27. #19099302C22semidirect
28. #19099301C22semidirect
29. #19099300C22semidirect
30. #19099299C22semidirect
31. #19099299C22semidirect
32. #19099299C22semidirect
33. #19099297C22semidirect
34. #19099291C22semidirect
35. #19099290C22semidirect
36. #19099289C22semidirect
39. #19099283C22semidirect
40. #19099282C22semidirect
41. #19099282C22semidirect
43. #19099278C22semidirect
44. #19099277C22semidirect
45. #19099277C22semidirect
46. #19099277C22semidirect
47. #19099275C22semidirect
48. #19099272C22semidirect
49. #19099272C22semidirect
50. #19099270C22semidirect
51. #19099265C22semidirect
52. #19099265C22semidirect
53. #19099265C22semidirect
54. #19099263C22semidirect
55. #19099263C22semidirect
56. #19099262C22semidirect
57. #19099260C22semidirect
58. #19099260C22semidirect
59. #19099256C22semidirect
60. #19099254C22semidirect
61. #19099253C22semidirect
62. #19099253C22semidirect
63. #19099253C22semidirect
64. #19099252C22semidirect
65. #19099251C22semidirect
66. #19099250C22semidirect
67. #19099250C22semidirect
68. #19099247C22semidirect
70. #19099244C22semidirect
72. #19099239C22semidirect
75. #19099221C22semidirect
76. #19099221C22semidirect
77. #19099220C22semidirect
78. #19099220C22semidirect
79. #19099219C22semidirect
80. #19099219C22semidirect
81. #19099217C22semidirect
82. #19099212C22semidirect
83. #19099212C22semidirect
86. #19099207C22semidirect
87. #19099207C22semidirect
88. #19099182C22semidirect
89. #19099182C22semidirect
90. #19099181C22semidirect
91. #19099180C22semidirect
92. #19099180C22semidirect
93. #19099180C22semidirect
94. #19099178C22semidirect
95. #19099178C22semidirect
96. #19099177C22semidirect
97. #19099175C22semidirect
98. #19099175C22semidirect
99. #19099173C22semidirect
100. #19099171C22semidirect
102. #19099167C22semidirect
103. #19099167C22semidirect
104. #19099165C22semidirect
105. #19099163C22semidirect
106. #19099158C22semidirect
107. #19099157C22semidirect
108. #19099155C22semidirect
112. #19099142C22semidirect
113. #19099142C22semidirect
114. #19099141C22semidirect
118. #19099120C22semidirect
119. #19099120C22semidirect
120. #19099120C22semidirect
121. #19099118C22semidirect
122. #19099118C22semidirect
123. #19099118C22semidirect
124. #19099117C22semidirect
125. #19099116C22semidirect
128. #19099111C22semidirect
129. #19099111C22semidirect
132. C2×#14579161C22semidirect
133. C4⋊Q8×D79C22semidirect
134. #19099100C22semidirect
136. #19099095C22semidirect
137. #19099095C22semidirect
138. #19099094C22semidirect
139. #19099094C22semidirect
140. #19099094C22semidirect
142. #19099093C22semidirect
143. #19099093C22semidirect
144. #19099092C22semidirect
145. #19099092C22semidirect
147. #19099091C22semidirect
148. #19099090C22semidirect
149. C2×#14579154C22semidirect
150. #19099075C22semidirect
151. #19099073C22semidirect
152. #19099073C22semidirect
154. #19099072C22semidirect
156. #19099070C22semidirect
157. #19099046C22semidirect
158. #19099042C22semidirect
159. #19099042C22semidirect
160. #19099040C22semidirect
161. #19099039C22semidirect
162. #19099038C22semidirect
163. #41×Dic79C22semidirect
165. C4×#11929624C22semidirect
166. C4×#11929624C22semidirect
167. C4×#11929623C22semidirect
168. C4×#11929623C22semidirect
169. C2×C42×D79C22semidirect
170. #559×C79C22semidirect
173. #546×C79C22semidirect
175. #540×C79C22semidirect
177. #533×C79C22semidirect
179. #532×C79C22semidirect
180. C2×#127×C79C22semidirect
181. #518×C79C22semidirect
800. #3508D79semidirect
803. C79#62839semidirect
814. #559C2×D79semidirect
871. #546C2×D79semidirect
891. #540C2×D79semidirect
913. #533C2×D79semidirect
921. #532C2×D79semidirect
924. C2×#127C2×D79semidirect
954. #518C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779052
#237778972
#237778242
#237778202
#237776662
#237776642
#237776592
#237776512
#237775042
#237775032
#237774982
#237774572
#237774562
#237774532
#237773072
#237773012
#237772862
#237772792
#237772742
#237766952
#237766932
C79×#35082
#6283979