Finite Group Databasebeta

← #35197296

Subgroups — #35197296

Order 20224.

7102 conjugacy classes of subgroups.

The subgroup lattice has 1582 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777263C214yesmaximal, complemented
2#23777260C214yesmaximal, complemented
3#23777259C214yesmaximal, complemented
4#23777250C214yesmaximal, complemented
5#23777246C214yesmaximal, complemented
6#23777243C214yesmaximal, complemented
7#23777118C214yesmaximal, complemented
8#23777117C212yesmaximal, complemented
9#23777116C214yesmaximal, complemented
10#23777113C212yesmaximal, complemented
11#23777110C211yesmaximal, characteristic, complemented
12#23777109C211yesmaximal, characteristic, complemented
13#23777108C214yesmaximal, complemented
14#23777107C211yesmaximal, characteristic, complemented
15#23777102C214yesmaximal, complemented
16#23776808C214yesmaximal, complemented
17#23776807C214yesmaximal, complemented
18#23776804C211yesmaximal, characteristic, complemented
19#23776730C212yesmaximal, complemented
20#23776728C211yesmaximal, characteristic, complemented
21C2×#19099044C211yesmaximal, characteristic, complemented
22#520×D79C212yesmaximal, complemented
23C79×#3492C211yesmaximal, characteristic, complemented
24C22×#11929624C2211yescharacteristic
25C2×#41×D79C2212yes—
26#19099297C2218yescomplemented
27#19099297C2218yescomplemented
28#19099296C2218yescomplemented
29#19099290C2218yescomplemented
30#19099286C2214yescomplemented
31#19099284C2214yescomplemented
32#19099284C2214yescomplemented
33#19099284C2218yescomplemented
34#19099283C2214yescomplemented
35#19099281C2214yescomplemented
36#19099281C2214yescomplemented
37#19099280C2218yescomplemented
38#19099280C2218yescomplemented
39#19099278C2214yescomplemented
40#19099278C2214yescomplemented
41#19099277C2214yescomplemented
42#19099277C2214yescomplemented
43#19099276C2214yescomplemented
44#19099276C2214yescomplemented
45#19099274C2214yescomplemented
46#19099271C2214yescomplemented
47#19099268C2214yescomplemented
48#19099267C2218yescomplemented
49#19099266C2214yescomplemented
50#19099263C2214yescomplemented
51#19099262C2218yescomplemented
52#19099261C2214yescomplemented
53#19099261C2214yescomplemented
54#19099260C2214yescomplemented
55#19099260C2214yescomplemented
56#19099259C2214yescomplemented
57#19099258C2218yescomplemented
58#19099254C2214yescomplemented
59#19099253C2214yescomplemented
60#19099251C2214yescomplemented
61#19099250C2218yescomplemented
62#19099248C2214yescomplemented
63#19099248C2214yescomplemented
64#19099247C2214yescomplemented
65#19099247C2214yescomplemented
66#19099245C2218yescomplemented
67#19099232C2214yescomplemented
68#19099231C2214yescomplemented
69#19099216C2214yescomplemented
70#19099215C2214yescomplemented
71#19099214C2214yescomplemented
72#19099213C2214yescomplemented
73#19099212C2214yescomplemented
74#19099194C2211yescharacteristic, complemented
75#19099193C2214yescomplemented
76#19099191C2212yescomplemented
77#19099190C2214yescomplemented
78#19099188C2214yes—
79#19099162C2214yescomplemented
80#19099161C2218yescomplemented
81#19099160C2214yescomplemented
82#19099159C2218yescomplemented
83#19099159C2218yescomplemented
84#19099158C2214yescomplemented
85#19099156C2218yescomplemented
86#19099152C2218yescomplemented
87#19099149C2218yescomplemented
88#19099149C2218yescomplemented
89#19099148C2218yescomplemented
90#19099146C2218yescomplemented
91#19099145C2218yescomplemented
92#19099144C2211yescharacteristic
93#19099143C2212yes—
94#19099143C2212yes—
95#19099142C2212yes—
96#19099142C2212yes—
97#19099141C2212yes—
98#19099136C2214yescomplemented
99#19099136C2212yescomplemented
100#19099136C2212yescomplemented
101#19099135C2214yescomplemented
102#19099129C2214yescomplemented
103#19099129C2212yescomplemented
104#19099129C2212yescomplemented
105#19099128C2214yescomplemented
106#19099124C2214yes—
107#19099123C2214yes—
108#19099121C2214yes—
109#19099119C2214yescomplemented
110#19099118C2214yescomplemented
111#19099115C2214yescomplemented
112#19099110C2214yes—
113#19099110C2214yes—
114#19099108C2214yes—
115#19099098C2218yescomplemented
116#19099096C2218yescomplemented
117#19099095C2218yescomplemented
118#19099093C2218yescomplemented
119#19099091C2218yescomplemented
120#19099090C2218yescomplemented
121#19099076C2218yescomplemented
122#19099076C2214yescomplemented
123#19099076C2214yescomplemented
124#19099075C2212yescomplemented
125#19099074C2214yescomplemented
126#19099074C2212yescomplemented
127#19099073C2214yescomplemented
128#19099073C2214yescomplemented
129#19099072C2218yescomplemented
130#19099072C2214yescomplemented
131#19099072C2214yescomplemented
132#19099071C2218yescomplemented
133#19099070C2218yescomplemented
134#19099070C2212yescomplemented
135#19099046C2212yescomplemented
136#19099045C2214yescomplemented
137#19099044C2214yescomplemented
138#19099044C2212yescomplemented
139#19099044C2214yescomplemented
140#19099044C2214yescomplemented
141#19099044C2214yescomplemented
142#19099044C2214yescomplemented
143#19099043C2212yescomplemented
144#19099043C2214yescomplemented
145#19099042C2214yescomplemented
146#19099042C2218yescomplemented
147C2×#14579126C2212yescomplemented
148C4×Q8×D79C2214yescomplemented
149C2×#14579123C2212yes—
150C2×C4×C22⋊D79C2212yes—
151C2×C4×C22⋊D79C2212yescomplemented
152C4×D4×D79C2218yes—
153C4×D4×D79C2214yescomplemented
154C2×#14579120C2211yescharacteristic, complemented
155C2×#14579119C2211yescharacteristic
156C2×#14579119C2211yescharacteristic, complemented
157#117×D79C2212yes—
158#117×D79C2214yescomplemented
159C2×C4⋊C4×D79C2211yescharacteristic
160C2×C4⋊C4×D79C2214yescomplemented
161C2×C4⋊C4×D79C2211yescharacteristic, complemented
162#554×C79C2214yescomplemented
163#553×C79C2214yescomplemented
164#552×C79C2214yescomplemented
165#547×C79C2214yescomplemented
166#544×C79C2211yescharacteristic, complemented
167#539×C79C2214yescomplemented
168#537×C79C2211yescharacteristic
169#525×C79C2214yescomplemented
170#525×C79C2212yescomplemented
171#520×C79C2212yescomplemented
172C22×C4⋊C4×C79C2211yescharacteristic, complemented
173C2×#11929625C2312yes—
174C2×#11929625C2314yes—
175C2×#11929624—28no—
176C2×#11929624C2314yes—
177C2×#11929624C2312yes—
178C2×#11929624C2312yes—
179C2×#11929624C2312yes—
180C2×#11929624C2312yes—
181C2×#11929624C2312yes—
182C2×#11929624C2314yes—
183C2×#11929623C2312yes—
184C2×#11929623C2314yes—
185C2×#11929623C2314yes—
186#41×D79—216no—
187C22×Dic158C2311yescharacteristic
188C2×Q8×D79C2312yes—
189C22×D316C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C2×D4×D79C2314yes—
193C2×D4×D79C2312yes—
194C22×C4×D79C2314yes—
195C22×C4×D79C2311yescharacteristic
196C22×C4×D79C2312yes—
197C22×C4×D79C2318yes—
198C22×C4×D79C2312yes—
199C22×C4×D79C2311yescharacteristic
200#14579161C2314yes—
201#14579160C2314yes—
202#14579160C2314yes—
203#14579160C2314yes—
204#14579160C2314yes—
205#14579160C2314yes—
206#14579160C2314yes—
207#14579159C2314yes—
208#14579157C2314yes—
209#14579157C2314yes—
210#14579157C2314yes—
211#14579156C2318yes—
212#14579156C2318yes—
213#14579156C2318yes—
214#14579156C2318yes—
215#14579156C2318yes—
216#14579155C2318yes—
217#14579154C2318yes—
218#14579154C2318yes—
219#14579154C2318yes—
220#14579154C2318yes—
221#14579154C2318yes—
222#14579153C2314yes—
223#14579152C2318yes—
224#14579152C2314yes—
225#14579152C2314yes—
226#14579151C2318yes—
227#14579151C2318yes—
228#14579151C2318yes—
229#14579151C2318yes—
230#14579151C2318yes—
231#14579149C2318yes—
232#14579148C2318yes—
233#14579147C2318yes—
234#14579147C2314yes—
235#14579147C2314yes—
236#14579147C2318yes—
237#14579147C2318yes—
238#14579147C2318yes—
239#14579147C2318yes—
240#14579147C2314yes—
241#14579147C2314yes—
242#14579146C2314yes—
243#14579146C2318yes—
244#14579146C2314yes—
245#14579146C2318yes—
246#14579146C2318yes—
247#14579146C2318yes—
248#14579146C2318yes—
249#14579145C2314yes—
250#14579144C2318yes—
251#14579144C2318yes—
252#14579144C2314yes—
253#14579143C2314yes—
254#14579143C2318yes—
255#14579143C2314yes—
256#14579143C2318yes—
257#14579143C2318yes—
258#14579142C2318yes—
259#14579142C2318yes—
260#14579142C2314yes—
261#14579141C2312yes—
262#14579141C2312yes—
263#14579141C2314yes—
264#14579141C2318yes—
265#14579141C2314yes—
266#14579140C2314yes—
267#14579140C2312yes—
268#14579140C2312yes—
269#14579140C2314yes—
270#14579140C2314yes—
271#14579139C2314yes—
272#14579139C2314yes—
273#14579139C2318yes—
274#14579139C2318yes—
275#14579139C2318yes—
276#14579138C2314yes—
277#14579138C2314yes—
278#14579138C2318yes—
279#14579138C2318yes—
280#14579137C2314yes—
281#14579137C2312yes—
282#14579137C2312yes—
283#14579137C2318yes—
284#14579137C2314yes—
285#14579137C2318yes—
286#14579136C2314yes—
287#14579136C2314yes—
288#14579136C2312yes—
289#14579136C2312yes—
290#14579136C2314yes—
291#14579136C2314yes—
292#14579135C2314yes—
293#14579135C2312yes—
294#14579135C2312yes—
295#14579135C2314yes—
296#14579135C2318yes—
297#14579135C2314yes—
298#14579134C2314yes—
299#14579134C2314yes—
300#14579134C2314yes—
301#14579134C2314yes—
302#14579134C2314yes—
303#14579134C2314yes—
304#14579134C2318yes—
305#14579133C2318yes—
306#14579133C2314yes—
307#14579133C2314yes—
308#14579133C2318yes—
309#14579132C2314yes—
310#14579132C2314yes—
311#14579132C2314yes—
312#14579132C2312yes—
313#14579132C2312yes—
314#14579132C2318yes—
315#14579132C2314yes—
316#14579131C2314yes—
317#14579131C2314yes—
318#14579131C2318yes—
319#14579131C2314yes—
320#14579130C2314yes—
321#14579129C2314yes—
322#14579129C2318yes—
323#14579129C2314yes—
324#14579129C2314yes—
325Q8×Dic79C2314yes—
326Q8×Dic79C2314yes—
327C4×Dic158C2314yes—
328C4×Dic158C2318yes—
329C4×Dic158C2318yes—
330#14579126C2314yes—
331#14579126C2318yes—
332#14579126C2314yes—
333#14579126C2318yes—
334#14579126C2318yes—
335#14579126C2318yes—
336#14579126C2318yes—
337C4×D316C2318yes—
338C4×D316C2314yes—
339C4×D316C2314yes—
340C4×D316C2314yes—
341D4×Dic79C2318yes—
342D4×Dic79C2314yes—
343D4×Dic79C2314yes—
344#14579123C2318yes—
345#14579123C2318yes—
346#14579123C2318yes—
347#14579123C2314yes—
348#14579123C2314yes—
349#14579123C2318yes—
350C4×C22⋊D79C2318yes—
351C4×C22⋊D79C2318yes—
352C4×C22⋊D79C2318yes—
353C4×C22⋊D79C2318yes—
354C4×C22⋊D79C2314yes—
355C4×C22⋊D79C2314yes—
356C4×C22⋊D79C2314yes—
357C4×C22⋊D79C2314yes—
358C4×C22⋊D79C2314yes—
359C4×C22⋊D79C2318yes—
360C4×C22⋊D79C2314yes—
361C4×C22⋊D79C2318yes—
362C4×C22⋊D79C2314yes—
363C4×C22⋊D79C2314yes—
364C4×C22⋊D79C2318yes—
365(C22⋊D79)⋊C4C2318yes—
366(C22⋊D79)⋊C4C2318yes—
367(C22⋊D79)⋊C4C2318yes—
368(C22⋊D79)⋊C4C2318yes—
369(C22⋊D79)⋊C4C2318yes—
370(C22⋊D79)⋊C4C2318yes—
371#14579120C2312yes—
372#14579120C2314yes—
373#14579120C2314yes—
374#14579120C2314yes—
375#14579120C2318yes—
376#14579120C2314yes—
377#14579119C2312yes—
378#14579119C2312yes—
379#14579119C2314yes—
380#14579119C2314yes—
381#14579119C2318yes—
382#14579119C2314yes—
383#14579119C2314yes—
384#14579119C2314yes—
385#14579119C2314yes—
386#14579119C2314yes—
387#14579119C2314yes—
388#14579118C2314yes—
389#14579118C2318yes—
390#14579118C2318yes—
391#14579117C2318yes—
392#14579117C2318yes—
393#14579117C2314yes—
394C2×C4⋊Dic79C2311yescharacteristic
395C2×C4⋊Dic79C2314yes—
396C2×C4⋊Dic79C2311yescharacteristic
397C2×Dic79⋊C4C2312yes—
398C2×Dic79⋊C4C2318yes—
399C2×Dic79⋊C4C2312yes—
400C4⋊C4×D79C2312yes—
401C4⋊C4×D79C2312yes—
402C4⋊C4×D79C2318yes—
403C4⋊C4×D79C2314yes—
404C4⋊C4×D79C2314yes—
405C4⋊C4×D79C2318yes—
406C4⋊C4×D79C2314yes—
407C4⋊C4×D79C2314yes—
408C4⋊C4×D79C2314yes—
409C4⋊C4×D79C2314yes—
410C2×C22⋊Dic79C2312yes—
411C2×(C2×D79)⋊C4C2312yes—
412C2×(C2×D79)⋊C4C2312yes—
413C22⋊C4×D79C2318yes—
414C22⋊C4×D79C2314yes—
415C2×C4×Dic79C2312yes—
416C2×C4×Dic79C2312yes—
417C2×C4×Dic79C2312yes—
418C42×D79C2314yes—
419C42×D79C2318yes—
420C2×#41×C79C2312yes—
421C2×#41×C79C2314yes—
422C23×C4×C79C2311yescharacteristic
423C23×C4×C79C2312yes—
424C4⋊Q8×C79C2314yes—
425#126×C79C2318yes—
426#125×C79C2318yes—
427#125×C79C2314yes—
428#123×C79C2318yes—
429#123×C79C2318yes—
430#123×C79C2314yes—
431C22⋊Q8×C79C2312yes—
432C22⋊Q8×C79C2312yes—
433C22⋊Q8×C79C2314yes—
434C22⋊Q8×C79C2314yes—
435C22⋊Q8×C79C2318yes—
436C22⋊Q8×C79C2314yes—
437#121×C79C2312yes—
438#121×C79C2312yes—
439#121×C79C2314yes—
440#121×C79C2314yes—
441#121×C79C2314yes—
442#120×C79C2314yes—
443C4×Q8×C79C2314yes—
444C4×D4×C79C2318yes—
445C4×D4×C79C2314yes—
446C4×D4×C79C2314yes—
447C4×D4×C79C2314yes—
448C4×D4×C79C2318yes—
449#117×C79C2312yes—
450#117×C79C2314yes—
451#117×C79C2314yes—
452C2×C4⋊C4×C79C2311yescharacteristic
453C2×C4⋊C4×C79C2312yes—
454C2×C4⋊C4×C79C2314yes—
455C2×C4⋊C4×C79C2311yescharacteristic
456C2×C4⋊C4×C79C2314yes—
457C2×C4⋊C4×C79C2314yes—
458C23×D79C2414yes—
459C23×D79C2411yescharacteristic
460C23×D79C2411yescharacteristic
461#11929625—28no—
462#11929625—84no—
463#11929624—216no—
464#11929624—28no—
465#11929624—28no—
466#11929624—28no—
467#11929624—28no—
468#11929624—28no—
469#11929624—84no—
470#11929623—216no—
471#11929623—28no—
472#11929623—84no—
473C2×Dic158—24no—
474C2×Dic158C2412yes—
475C2×Dic158C2414yes—
476C2×Dic158C2412yes—
477C2×Dic158C2412yes—
478C2×Dic158C2414yes—
479C2×Dic158C2418yes—
480Q8×D79—28no—
481C2×D316—24no—
482C2×D316C2412yes—
483C2×D316C2412yes—
484C2×D316C2414yes—
485C2×D316C2412yes—
486C2×D316C2414yes—
487C2×D316C2414yes—
488C2×D316C2414yes—
489C2×C22⋊D79—24no—
490C2×C22⋊D79—24no—
491C2×C22⋊D79C2414yes—
492C2×C22⋊D79C2414yes—
493C2×C22⋊D79C2414yes—
494C2×C22⋊D79C2412yes—
495C2×C22⋊D79C2412yes—
496C2×C22⋊D79C2411yescharacteristic
497C2×C22⋊D79C2411yescharacteristic
498C2×C22⋊D79C2411yescharacteristic
499C2×C22⋊D79C2411yescharacteristic
500C2×C22⋊D79C2414yes—
501C2×C22⋊D79C2414yes—
502C2×C22⋊D79C2414yes—
503C2×C22⋊D79C2418yes—
504C2×C22⋊D79C2414yes—
505D4×D79—28no—
506D4×D79—216no—
507C22×Dic79C2411yescharacteristic
508C22×Dic79C2414yes—
509C22×Dic79C2418yes—
510C22×Dic79C2412yes—
511C22×Dic79C2412yes—
512C22×Dic79C2411yescharacteristic
513C2×C4×D79—216no—
514C2×C4×D79—24no—
515C2×C4×D79—82no—
516C2×C4×D79—82no—
517C2×C4×D79—88no—
518C2×C4×D79#4118yescomplemented
519C2×C4×D79C2414yes—
520C2×C4×D79C2414yes—
521C2×C4×D79C2414yes—
522C2×C4×D79C2412yes—
523C2×C4×D79C2412yes—
524C2×C4×D79C2414yes—
525C2×C4×D79C2418yes—
526C2×C4×D79C2414yes—
527C2×C4×D79C2418yes—
528C2×C4×D79C2414yes—
529C2×C4×D79C2418yes—
530C2×C4×D79C2414yes—
531C2×C4×D79C2412yes—
532C2×C4×D79C2412yes—
533C4⋊Dic79C2414yes—
534C4⋊Dic79C2412yes—
535C4⋊Dic79C2418yes—
536C4⋊Dic79C2412yes—
537C4⋊Dic79C2414yes—
538C4⋊Dic79C2414yes—
539C4⋊Dic79C2418yes—
540C4⋊Dic79C2414yes—
541C4⋊Dic79C2414yes—
542C4⋊Dic79C2414yes—
543Dic79⋊C4C2414yes—
544Dic79⋊C4C2414yes—
545Dic79⋊C4C2414yes—
546Dic79⋊C4C2418yes—
547Dic79⋊C4C2418yes—
548Dic79⋊C4C2418yes—
549Dic79⋊C4C2414yes—
550Dic79⋊C4C2414yes—
551Dic79⋊C4C2418yes—
552Dic79⋊C4C2414yes—
553Dic79⋊C4C2418yes—
554Dic79⋊C4C2418yes—
555Dic79⋊C4C2418yes—
556Dic79⋊C4C2414yes—
557Dic79⋊C4C2414yes—
558C22⋊Dic79C2414yes—
559C22⋊Dic79C2418yes—
560C22⋊Dic79C2414yes—
561C22⋊Dic79C2414yes—
562C22⋊Dic79C2418yes—
563C22⋊Dic79C2414yes—
564C22⋊Dic79C2414yes—
565C22⋊Dic79C2414yes—
566C22⋊Dic79C2414yes—
567(C2×D79)⋊C4C2414yes—
568(C2×D79)⋊C4C2418yes—
569(C2×D79)⋊C4C2414yes—
570(C2×D79)⋊C4C2418yes—
571(C2×D79)⋊C4C2418yes—
572(C2×D79)⋊C4C2414yes—
573(C2×D79)⋊C4C2414yes—
574(C2×D79)⋊C4C2414yes—
575(C2×D79)⋊C4C2418yes—
576(C2×D79)⋊C4C2414yes—
577(C2×D79)⋊C4C2414yes—
578(C2×D79)⋊C4C2414yes—
579(C2×D79)⋊C4C2414yes—
580(C2×D79)⋊C4C2414yes—
581(C2×D79)⋊C4C2418yes—
582(C2×D79)⋊C4C2414yes—
583(C2×D79)⋊C4C2414yes—
584C4×Dic79C2418yes—
585C4×Dic79C2418yes—
586C4×Dic79C2414yes—
587C4×Dic79C2414yes—
588C4×Dic79C2418yes—
589C4×Dic79C2414yes—
590C4×Dic79C2418yes—
591C4×Dic79C2418yes—
592C4×Dic79C2414yes—
593C4×Dic79C2414yes—
594C24×C79C2411yescharacteristic
595#41×C79—28no—
596#41×C79—84no—
597C2×Q8×C79C2412yes—
598C2×Q8×C79C2414yes—
599C2×D4×C79C2414yes—
600C2×D4×C79C2412yes—
601C2×D4×C79C2414yes—
602C2×D4×C79C2414yes—
603C2×D4×C79C2414yes—
604C22×C4×C79—24no—
605C22×C4×C79—82no—
606C22×C4×C79C2411yescharacteristic
607C22×C4×C79C2412yes—
608C22×C4×C79C2412yes—
609C22×C4×C79C2414yes—
610C22×C4×C79C2414yes—
611C22×C4×C79C2414yes—
612C22×C4×C79C2412yes—
613C22×C4×C79C2412yes—
614C22×C4×C79C2418yes—
615C22×C4×C79C2411yescharacteristic
616C4⋊C4×C79C2414yes—
617C4⋊C4×C79C2414yes—
618C4⋊C4×C79C2418yes—
619C4⋊C4×C79C2412yes—
620C4⋊C4×C79C2418yes—
621C4⋊C4×C79C2412yes—
622C4⋊C4×C79C2414yes—
623C4⋊C4×C79C2414yes—
624C4⋊C4×C79C2414yes—
625C4⋊C4×C79C2418yes—
626C4⋊C4×C79C2414yes—
627C22⋊C4×C79C2414yes—
628C22⋊C4×C79C2414yes—
629C22⋊C4×C79C2418yes—
630C22⋊C4×C79C2414yes—
631C22⋊C4×C79C2418yes—
632C22⋊C4×C79C2414yes—
633C22⋊C4×C79C2414yes—
634C42×C79C2418yes—
635C42×C79C2414yes—
636C23×C79—22no—
637C23×C79—41no—
638C23×C79—41no—
639C23×C79C2511yescharacteristic
640C23×C79C2511yescharacteristic
641C23×C79C2514yes—
642C23×C79C2511yescharacteristic
643C22×D79—22no—
644C22×D79—28no—
645C22×D79—41no—
646C22×D79—44no—
647C22×D79—41no—
648C22×D79—41no—
649C22×D79—44no—
650C22×D79—41no—
651C22×D79C2×#4114yes—
652C22×D79C2511yescharacteristic
653C22×D79C2514yes—
654C22×D79C2511yescharacteristic
655C22×D79C2512yes—
656Q8×C79—24no—
657Q8×C79—44no—
658D4×C79—28no—
659D4×C79—24no—
660D4×C79—44no—
661D4×C79—44no—
662D4×C79—44no—
663C2×C4×C79—22no—
664C2×C4×C79—28no—
665C2×C4×C79—24no—
666C2×C4×C79—24no—
667C2×C4×C79—42no—
668C2×C4×C79—42no—
669C2×C4×C79—48no—
670C2×C4×C79—44no—
671C2×C4×C79—44no—
672C2×C4×C79C2×#4114yes—
673C2×C4×C79C2514yes—
674C2×C4×C79C2512yes—
675C2×C4×C79C2514yes—
676C2×C4×C79C2514yes—
677C2×C4×C79C2514yes—
678C2×C4×C79C2514yes—
679C2×C4×C79C2512yes—
680C22⋊D79—28no—
681C22⋊D79—28no—
682C22⋊D79—24no—
683C22⋊D79—24no—
684C22⋊D79—28no—
685C22⋊D79—22no—
686C22⋊D79—22no—
687C22⋊D79—22no—
688C22⋊D79—22no—
689C22⋊D79—44no—
690C22⋊D79—44no—
691C22⋊D79—48no—
692C22⋊D79—44no—
693C22⋊D79—44no—
694C2×Dic79—22no—
695C2×Dic79—28no—
696C2×Dic79—42no—
697C2×Dic79—48no—
698C2×Dic79—42no—
699C2×Dic79C2×#4114yes—
700C2×Dic79C2514yes—
701C2×Dic79C2514yes—
702C2×Dic79C2514yes—
703C2×Dic79C2514yes—
704C2×Dic79C2512yes—
705C2×Dic79C2514yes—
706C2×Dic79C2511yescharacteristic
707C2×Dic79C2511yescharacteristic
708D316—28no—
709D316—24no—
710D316—24no—
711D316—24no—
712D316—44no—
713D316—44no—
714D316—44no—
715C4×D79—28no—
716C4×D79—28no—
717C4×D79—24no—
718C4×D79—24no—
719C4×D79—28no—
720C4×D79—44no—
721C4×D79—48no—
722C4×D79—44no—
723C4×D79—48no—
724C4×D79—44no—
725C4×D79—48no—
726C4×D79—44no—
727C4×D79C2×#4118yes—
728C4×D79C2×#4118yes—
729Dic158—24no—
730Dic158—28no—
731Dic158—24no—
732Dic158—24no—
733Dic158—48no—
734Dic158—44no—
735C22×C79—21no—
736C22×C79—21no—
737C22×C79—21no—
738C22×C79—21no—
739C22×C79—24no—
740C22×C79—21no—
741C22×C79—24no—
742C22×C79—21no—
743C22×C79—21no—
744C22×C79—24no—
745C22×C79—21no—
746C22×C79—44no—
747C22×C79C22×#4112yes—
748C22×C79C2611yescharacteristic
749C2×D79—22no—
750C2×D79—22no—
751C2×D79—24no—
752C2×D79—21no—
753C2×D79—21no—
754C2×D79—21no—
755C2×D79—24no—
756C2×D79—21no—
757C2×D79—21no—
758C2×D79—24no—
759C2×D79—21no—
760C2×D79—44no—
761C2×D79—416no—
762C2×D79—44no—
763C2×D79C22×#4114yes—
764C4×C79—22no—
765C4×C79—24no—
766C4×C79—24no—
767C4×C79—24no—
768C4×C79—24no—
769C4×C79—24no—
770C4×C79C22×#4114yes—
771Dic79—24no—
772Dic79—22no—
773Dic79—24no—
774Dic79—24no—
775Dic79—24no—
776Dic79—24no—
777Dic79C22×#4112yes—
778Dic79C22×#4112yes—
779#62845—791nomaximal, Sylow
780C2×C79—22no—
781C2×C79—44no—
782C2×C79—41no—
783C2×C79—41no—
784C2×C79C23×#4111yescharacteristic
785C2×C79H(7,𝔽2)11yescharacteristic
786C2×C792−1+611yescharacteristic
787D79—24no—
788D79—41no—
789D79—44no—
790D79—41no—
791#3507—794no—
792#3507—794no—
793#3507—794no—
794#3506—794no—
795#3506—794no—
796#3506—794no—
797#3493—794no—
798#3493—794no—
799#3493—792no—
800#3493—792no—
801#3492—794no—
802#3492—794no—
803#3492—791no—
804#3492—791no—
805#3492—791no—
806#3492D7911yescharacteristic, complemented
807#3459—794no—
808#3459—794no—
809#3458—791no—
810#3449—791no—
811#3449—792no—
812C2×#520—792no—
813C2×#520—791no—
814C79#6284511yescharacteristic, complemented, Sylow
815C22×#41—792no—
816C22×#41—791no—
817#559—798no—
818#559—798no—
819#559—798no—
820#557—798no—
821#556—798no—
822#556—798no—
823#556—794no—
824#556—798no—
825#556—794no—
826#556—794no—
827#556—794no—
828#556—794no—
829#556—794no—
830#555—794no—
831#555—794no—
832#555—794no—
833#555—794no—
834#555—794no—
835#555—794no—
836#554—794no—
837#554—798no—
838#554—794no—
839#554—794no—
840#554C2×D7914yescomplemented
841#553—794no—
842#553—798no—
843#553—794no—
844#553—794no—
845#553—794no—
846#553—798no—
847#553—794no—
848#553—794no—
849#553—794no—
850#553C2×D7914yescomplemented
851#552—798no—
852#552—794no—
853#552—798no—
854#552—794no—
855#552—794no—
856#552—794no—
857#552—794no—
858#552—794no—
859#552—794no—
860#552C2×D7914yescomplemented
861#550—794no—
862#550—794no—
863#547—794no—
864#547—794no—
865#547—794no—
866#547—794no—
867#547—794no—
868#547C2×D7914yescomplemented
869#544—794no—
870#544—794no—
871#544—792no—
872#544—791no—
873#544C2×D7911yescharacteristic, complemented
874#543—794no—
875#539—798no—
876#539—798no—
877#539—798no—
878#539—798no—
879#539—794no—
880#539—794no—
881#539—794no—
882#539C2×D7914yescomplemented
883#538—798no—
884#538—798no—
885#538—798no—
886#538—798no—
887#538—798no—
888#538—798no—
889#537—792no—
890#537—792no—
891#537—792no—
892#537—792no—
893#537—792no—
894#537—791no—
895#537C2×D7911yescharacteristic
896#536—794no—
897#536—792no—
898#536—794no—
899#536—792no—
900#535—792no—
901#535—794no—
902#535—792no—
903#535—794no—
904#534—794no—
905#534—794no—
906#534—794no—
907#533—794no—
908#533—794no—
909#533—794no—
910#532—794no—
911#532—794no—
912#532—794no—
913#529—798no—
914#529—798no—
915#529—798no—
916#529—798no—
917#529—798no—
918#529—798no—
919#525—792no—
920#525—798no—
921#525—792no—
922#525—794no—
923#525—798no—
924#525—794no—
925#525—798no—
926#525—794no—
927#525—794no—
928#525—794no—
929#525—794no—
930#525—794no—
931#525—798no—
932#525—792no—
933#525C2×D7912yescomplemented
934#525C2×D7914yescomplemented
935#520—792no—
936#520—794no—
937#520—794no—
938#520—798no—
939#520—792no—
940#520—794no—
941#520—794no—
942#520—794no—
943#520—792no—
944#520—794no—
945#520—794no—
946#520—794no—
947#520C2×D7912yescomplemented
948C2×C4×Q8—794no—
949C2×C4×Q8—792no—
950C2×C4×D4—792no—
951C2×C4×D4—792no—
952C2×C4×D4—798no—
953C2×C4×D4—794no—
954C2×C4×D4—792no—
955C2×#117—791no—
956C2×#117—792no—
957C2×#117—794no—
958C2×#117—791no—
959C2×#117—791no—
960C22×C4⋊C4—791no—
961C22×C4⋊C4—791no—
962C22×C4⋊C4—794no—
963C22×C4⋊C4C2×D7911yescharacteristic, complemented
964C2×#41—794no—
965C2×#41—792no—
966C2×#41—794no—
967C2×#41—792no—
968C2×#41—794no—
969C2×#41—794no—
970C2×#41—792no—
971C2×#41—792no—
972C2×#41—792no—
973C2×#41—794no—
974C2×#41—792no—
975C2×#41—792no—
976C2×#41—1588no—
977C2×#41—15816no—
978C2×#41C22×D7912yes—
979C2×#41C22×D7914yes—
980C22×Q8—792no—
981C22×Q8—791no—
982C22×D4—791no—
983C22×D4—791no—
984C22×D4—794no—
985C22×D4—792no—
986C22×D4—791no—
987C23×C4—791no—
988C23×C4—792no—
989C23×C4—792no—
990C23×C4—798no—
991C23×C4—794no—
992C23×C4—791no—
993C23×C4C22×D7911yescharacteristic
994C23×C4C22×D7912yes—
995C4⋊Q8—794no—
996C4⋊Q8—794no—
997C4⋊Q8—794no—
998C4⋊Q8—794no—
999C4⋊Q8—794no—
1000C4⋊Q8—794no—
1001C4⋊Q8—794no—
1002C4⋊Q8—794no—
1003C4⋊Q8C22×D7914yes—
1004#127—794no—
1005#127—794no—
1006#127—794no—
1007#126—798no—
1008#126—798no—
1009#126—798no—
1010#126—798no—
1011#126—798no—
1012#126—798no—
1013#126—798no—
1014#126—798no—
1015#126—798no—
1016#126—798no—
1017#126—798no—
1018#126C22×D7918yes—
1019#125—798no—
1020#125—798no—
1021#125—798no—
1022#125—798no—
1023#125—798no—
1024#125—798no—
1025#125—794no—
1026#125—794no—
1027#125—794no—
1028#125C22×D7918yes—
1029#125C22×D7914yes—
1030#124—798no—
1031#124—798no—
1032#124—798no—
1033#124—798no—
1034#124—798no—
1035#124—794no—
1036#124—798no—
1037#124—794no—
1038#124—794no—
1039#124—794no—
1040#124—798no—
1041#123—794no—
1042#123—798no—
1043#123—798no—
1044#123—794no—
1045#123—798no—
1046#123—798no—
1047#123—794no—
1048#123—794no—
1049#123—798no—
1050#123—798no—
1051#123—798no—
1052#123—798no—
1053#123—798no—
1054#123—798no—
1055#123—794no—
1056#123—794no—
1057#123—794no—
1058#123—798no—
1059#123—798no—
1060#123C22×D7918yes—
1061#123C22×D7914yes—
1062#123C22×D7918yes—
1063C22⋊Q8—798no—
1064C22⋊Q8—792no—
1065C22⋊Q8—792no—
1066C22⋊Q8—794no—
1067C22⋊Q8—798no—
1068C22⋊Q8—794no—
1069C22⋊Q8—794no—
1070C22⋊Q8—792no—
1071C22⋊Q8—794no—
1072C22⋊Q8—792no—
1073C22⋊Q8—794no—
1074C22⋊Q8—798no—
1075C22⋊Q8—794no—
1076C22⋊Q8—792no—
1077C22⋊Q8—794no—
1078C22⋊Q8—794no—
1079C22⋊Q8—792no—
1080C22⋊Q8—798no—
1081C22⋊Q8—794no—
1082C22⋊Q8—798no—
1083C22⋊Q8—798no—
1084C22⋊Q8—794no—
1085C22⋊Q8—794no—
1086C22⋊Q8—798no—
1087C22⋊Q8—798no—
1088C22⋊Q8C22×D7914yes—
1089C22⋊Q8C22×D7914yes—
1090C22⋊Q8C22×D7918yes—
1091C22⋊Q8C22×D7912yes—
1092C22⋊Q8C22×D7912yes—
1093C22⋊Q8C22×D7914yes—
1094#121—794no—
1095#121—792no—
1096#121—794no—
1097#121—792no—
1098#121—794no—
1099#121—794no—
1100#121—794no—
1101#121—798no—
1102#121—798no—
1103#121—794no—
1104#121—798no—
1105#121—794no—
1106#121—792no—
1107#121—794no—
1108#121—792no—
1109#121—798no—
1110#121—794no—
1111#121—794no—
1112#121—792no—
1113#121—794no—
1114#121—792no—
1115#121—794no—
1116#121—794no—
1117#121—794no—
1118#121—794no—
1119#121—794no—
1120#121—794no—
1121#121—798no—
1122#121—794no—
1123#121—794no—
1124#121C22×D7914yes—
1125#121C22×D7914yes—
1126#121C22×D7912yes—
1127#121C22×D7912yes—
1128#121C22×D7914yes—
1129#120—794no—
1130#120—794no—
1131#120—798no—
1132#120—794no—
1133#120—794no—
1134#120—794no—
1135#120—798no—
1136#120—794no—
1137#120—794no—
1138#120C22×D7914yes—
1139C4×Q8—794no—
1140C4×Q8—794no—
1141C4×Q8—798no—
1142C4×Q8—794no—
1143C4×Q8—798no—
1144C4×Q8—798no—
1145C4×Q8—798no—
1146C4×Q8—794no—
1147C4×Q8—798no—
1148C4×Q8—794no—
1149C4×Q8—798no—
1150C4×Q8—798no—
1151C4×Q8C22×D7914yes—
1152C4×D4—798no—
1153C4×D4—794no—
1154C4×D4—794no—
1155C4×D4—798no—
1156C4×D4—798no—
1157C4×D4—798no—
1158C4×D4—798no—
1159C4×D4—794no—
1160C4×D4—794no—
1161C4×D4—798no—
1162C4×D4—794no—
1163C4×D4—794no—
1164C4×D4—798no—
1165C4×D4—798no—
1166C4×D4—794no—
1167C4×D4—794no—
1168C4×D4—794no—
1169C4×D4—794no—
1170C4×D4—798no—
1171C4×D4—798no—
1172C4×D4—798no—
1173C4×D4—794no—
1174C4×D4—798no—
1175C4×D4—794no—
1176C4×D4—798no—
1177C4×D4—798no—
1178C4×D4—798no—
1179C4×D4—798no—
1180C4×D4—798no—
1181C4×D4—798no—
1182C4×D4—798no—
1183C4×D4—794no—
1184C4×D4—794no—
1185C4×D4—794no—
1186C4×D4C22×D7918yes—
1187C4×D4C22×D7914yes—
1188C4×D4C22×D7918yes—
1189C4×D4C22×D7914yes—
1190C4×D4C22×D7914yes—
1191#117—792no—
1192#117—794no—
1193#117—794no—
1194#117—794no—
1195#117—798no—
1196#117—794no—
1197#117—794no—
1198#117—792no—
1199#117—792no—
1200#117—794no—
1201#117—794no—
1202#117—794no—
1203#117—794no—
1204#117—794no—
1205#117—794no—
1206#117—798no—
1207#117—794no—
1208#117—794no—
1209#117—798no—
1210#117—798no—
1211#117—794no—
1212#117—798no—
1213#117—798no—
1214#117C22×D7912yes—
1215#117C22×D7914yes—
1216#117C22×D7914yes—
1217C2×C4⋊C4—791no—
1218C2×C4⋊C4—792no—
1219C2×C4⋊C4—792no—
1220C2×C4⋊C4—798no—
1221C2×C4⋊C4—794no—
1222C2×C4⋊C4—791no—
1223C2×C4⋊C4—794no—
1224C2×C4⋊C4—792no—
1225C2×C4⋊C4—794no—
1226C2×C4⋊C4—798no—
1227C2×C4⋊C4—798no—
1228C2×C4⋊C4—794no—
1229C2×C4⋊C4—794no—
1230C2×C4⋊C4—794no—
1231C2×C4⋊C4—794no—
1232C2×C4⋊C4—792no—
1233C2×C4⋊C4C22×D7911yescharacteristic
1234C2×C4⋊C4C22×D7911yescharacteristic
1235C2×C4⋊C4C22×D7914yes—
1236C2×C4⋊C4C22×D7912yes—
1237C2×C4⋊C4C22×D7914yes—
1238C2×C4⋊C4C22×D7914yes—
1239C2×C22⋊C4—792no—
1240C2×C22⋊C4—792no—
1241C2×C22⋊C4—792no—
1242C2×C22⋊C4—794no—
1243C2×C22⋊C4—798no—
1244C2×C42—792no—
1245C2×C42—792no—
1246C2×C42—792no—
1247C2×C42—798no—
1248C2×C42—794no—
1249C24—791no—
1250C24—794no—
1251C24—791no—
1252C24C23×D7911yescharacteristic
1253#41—28no—
1254#41—84no—
1255#41—6324no—
1256#41—6324no—
1257#41—6324no—
1258#41—1588no—
1259#41—1588no—
1260#41—1588no—
1261#41—1588no—
1262#41—15816no—
1263#41—15816no—
1264#41—1588no—
1265#41—1588no—
1266#41—1588no—
1267C2×Q8—798no—
1268C2×Q8—794no—
1269C2×Q8—792no—
1270C2×Q8—792no—
1271C2×Q8—792no—
1272C2×Q8—794no—
1273C2×Q8—1584no—
1274C2×Q8—1588no—
1275C2×Q8C23×D7912yes—
1276C2×Q8C23×D7914yes—
1277C2×D4—794no—
1278C2×D4—794no—
1279C2×D4—798no—
1280C2×D4—794no—
1281C2×D4—794no—
1282C2×D4—792no—
1283C2×D4—792no—
1284C2×D4—794no—
1285C2×D4—794no—
1286C2×D4—791no—
1287C2×D4—791no—
1288C2×D4—791no—
1289C2×D4—791no—
1290C2×D4—794no—
1291C2×D4—794no—
1292C2×D4—794no—
1293C2×D4—794no—
1294C2×D4—792no—
1295C2×D4—792no—
1296C2×D4—794no—
1297C2×D4—792no—
1298C2×D4—1584no—
1299C2×D4—1588no—
1300C2×D4—1584no—
1301C2×D4—15816no—
1302C2×D4—1584no—
1303C2×D4C23×D7914yes—
1304C2×D4C23×D7912yes—
1305C2×D4C23×D7914yes—
1306C2×D4C23×D7914yes—
1307C2×D4C23×D7914yes—
1308C22×C4—24no—
1309C22×C4—82no—
1310C22×C4—792no—
1311C22×C4—792no—
1312C22×C4—798no—
1313C22×C4—794no—
1314C22×C4—798no—
1315C22×C4—794no—
1316C22×C4—794no—
1317C22×C4—794no—
1318C22×C4—798no—
1319C22×C4—798no—
1320C22×C4—791no—
1321C22×C4—798no—
1322C22×C4—792no—
1323C22×C4—792no—
1324C22×C4—791no—
1325C22×C4—794no—
1326C22×C4—794no—
1327C22×C4—794no—
1328C22×C4—792no—
1329C22×C4—794no—
1330C22×C4—792no—
1331C22×C4—6322no—
1332C22×C4—6322no—
1333C22×C4—6328no—
1334C22×C4—15816no—
1335C22×C4—1584no—
1336C22×C4C23×D7911yescharacteristic
1337C22×C4C23×D7914yes—
1338C22×C4C23×D7912yes—
1339C22×C4C23×D7912yes—
1340C22×C4C23×D7912yes—
1341C22×C4C23×D7912yes—
1342C22×C4C23×D7918yes—
1343C22×C4C23×D7914yes—
1344C22×C4C23×D7914yes—
1345C22×C4C23×D7911yescharacteristic
1346C4⋊C4—794no—
1347C4⋊C4—794no—
1348C4⋊C4—794no—
1349C4⋊C4—798no—
1350C4⋊C4—798no—
1351C4⋊C4—798no—
1352C4⋊C4—794no—
1353C4⋊C4—794no—
1354C4⋊C4—794no—
1355C4⋊C4—798no—
1356C4⋊C4—798no—
1357C4⋊C4—798no—
1358C4⋊C4—794no—
1359C4⋊C4—798no—
1360C4⋊C4—794no—
1361C4⋊C4—794no—
1362C4⋊C4—792no—
1363C4⋊C4—798no—
1364C4⋊C4—792no—
1365C4⋊C4—794no—
1366C4⋊C4—794no—
1367C4⋊C4—794no—
1368C4⋊C4—794no—
1369C4⋊C4—798no—
1370C4⋊C4—794no—
1371C4⋊C4C23×D7914yes—
1372C4⋊C4C23×D7912yes—
1373C4⋊C4C23×D7914yes—
1374C4⋊C4C23×D7918yes—
1375C4⋊C4C23×D7912yes—
1376C4⋊C4C23×D7918yes—
1377C4⋊C4C23×D7914yes—
1378C4⋊C4C23×D7914yes—
1379C4⋊C4C23×D7914yes—
1380C4⋊C4C23×D7918yes—
1381C4⋊C4C23×D7914yes—
1382C22⋊C4—794no—
1383C22⋊C4—794no—
1384C22⋊C4—794no—
1385C22⋊C4—798no—
1386C22⋊C4—794no—
1387C22⋊C4—798no—
1388C22⋊C4—794no—
1389C22⋊C4—794no—
1390C22⋊C4—794no—
1391C22⋊C4—798no—
1392C22⋊C4—794no—
1393C22⋊C4—794no—
1394C22⋊C4—798no—
1395C22⋊C4—794no—
1396C22⋊C4—794no—
1397C22⋊C4—798no—
1398C22⋊C4—794no—
1399C22⋊C4—798no—
1400C22⋊C4—794no—
1401C22⋊C4—794no—
1402C22⋊C4—794no—
1403C22⋊C4—798no—
1404C22⋊C4—794no—
1405C22⋊C4—794no—
1406C22⋊C4—794no—
1407C22⋊C4—794no—
1408C22⋊C4C23×D7914yes—
1409C22⋊C4C23×D7918yes—
1410C22⋊C4C23×D7914yes—
1411C22⋊C4C23×D7914yes—
1412C22⋊C4C23×D7914yes—
1413C22⋊C4C23×D7918yes—
1414C22⋊C4C23×D7914yes—
1415C42—798no—
1416C42—798no—
1417C42—798no—
1418C42—798no—
1419C42—798no—
1420C42—794no—
1421C42—794no—
1422C42—794no—
1423C42—794no—
1424C42—794no—
1425C42C23×D7918yes—
1426C42C23×D7914yes—
1427C23—22no—
1428C23—41no—
1429C23—41no—
1430C23—3161no—
1431C23—3161no—
1432C23—3164no—
1433C23—3161no—
1434C23—3161no—
1435C23—3164no—
1436C23—794no—
1437C23—792no—
1438C23—791no—
1439C23—794no—
1440C23—791no—
1441C23—1588no—
1442C23—1582no—
1443C23C24×D7911yescharacteristic
1444C23C24×D7911yescharacteristic
1445C23C24×D7914yes—
1446C23C24×D7911yescharacteristic
1447Q8—24no—
1448Q8—44no—
1449Q8—3164no—
1450Q8—3168no—
1451Q8—1584no—
1452Q8—1584no—
1453Q8—1588no—
1454Q8—1584no—
1455D4—28no—
1456D4—24no—
1457D4—44no—
1458D4—44no—
1459D4—44no—
1460D4—3164no—
1461D4—3164no—
1462D4—3164no—
1463D4—3164no—
1464D4—3168no—
1465D4—3164no—
1466D4—3164no—
1467D4—3164no—
1468D4—1584no—
1469D4—1584no—
1470D4—1588no—
1471D4—1582no—
1472D4—1582no—
1473D4—1582no—
1474D4—1582no—
1475D4—1588no—
1476D4—1584no—
1477D4—1584no—
1478D4—1588no—
1479D4—1588no—
1480D4—1584no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—24no—
1484C2×C4—28no—
1485C2×C4—42no—
1486C2×C4—42no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—48no—
1490C2×C4—3168no—
1491C2×C4—3164no—
1492C2×C4—3168no—
1493C2×C4—3164no—
1494C2×C4—3164no—
1495C2×C4—3168no—
1496C2×C4—3164no—
1497C2×C4—3162no—
1498C2×C4—3168no—
1499C2×C4—3162no—
1500C2×C4—791no—
1501C2×C4—791no—
1502C2×C4—794no—
1503C2×C4—798no—
1504C2×C4—798no—
1505C2×C4—794no—
1506C2×C4—794no—
1507C2×C4—794no—
1508C2×C4—794no—
1509C2×C4—792no—
1510C2×C4—794no—
1511C2×C4—1588no—
1512C2×C4—1588no—
1513C2×C4—1588no—
1514C2×C4—1582no—
1515C2×C4—1588no—
1516C2×C4—1584no—
1517C2×C4—1584no—
1518C2×C4#41×D7914yes—
1519C2×C4C24×D7914yes—
1520C2×C4C24×D7912yes—
1521C2×C4C24×D7914yes—
1522C2×C4C24×D7914yes—
1523C2×C4C24×D7914yes—
1524C2×C4C24×D7914yes—
1525C2×C4C24×D7912yes—
1526C22—21no—
1527C22—21no—
1528C22—21no—
1529C22—21no—
1530C22—24no—
1531C22—21no—
1532C22—21no—
1533C22—24no—
1534C22—21no—
1535C22—24no—
1536C22—21no—
1537C22—44no—
1538C22—3164no—
1539C22—3164no—
1540C22—31616no—
1541C22—794no—
1542C22—1584no—
1543C22—1581no—
1544C22—1581no—
1545C22—1581no—
1546C22—1584no—
1547C22—1581no—
1548C22—1581no—
1549C22—1584no—
1550C22—1581no—
1551C22—1582no—
1552C22—1582no—
1553C22C2×#41×D7912yes—
1554C22C25×D7911yescharacteristic
1555C4—22no—
1556C4—24no—
1557C4—24no—
1558C4—24no—
1559C4—24no—
1560C4—24no—
1561C4—792no—
1562C4—792no—
1563C4—1584no—
1564C4—1582no—
1565C4—1584no—
1566C4—1584no—
1567C4—1584no—
1568C4—1584no—
1569C4C2×#41×D7914yes—
1570C2—22no—
1571C2—41no—
1572C2—41no—
1573C2—44no—
1574C2—3161no—
1575C2—3161no—
1576C2—3164no—
1577C2—1584no—
1578C2C22×#41×D7911yescharacteristic
1579C2#2377821011yescharacteristic
1580C2#2377821211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3492C2
hypercenter#3492D79
hypocenterC79#62845
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3492

Complements

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

NH ≅ G/Ntype
1. #23777263C2semidirect
2. #23777260C2semidirect
3. #23777259C2semidirect
4. #23777250C2semidirect
5. #23777246C2semidirect
6. #23777243C2semidirect
7. #23777118C2semidirect
8. #23777117C2semidirect
9. #23777116C2semidirect
10. #23777113C2semidirect
11. #23777110C2semidirect
12. #23777109C2semidirect
13. #23777108C2semidirect
14. #23777107C2semidirect
15. #23777102C2semidirect
16. #23776808C2semidirect
17. #23776807C2semidirect
18. #23776804C2semidirect
19. #23776730C2semidirect
20. #23776728C2semidirect
21. C2×#19099044C2semidirect
22. #520×D79C2semidirect
23. C79×#3492C2semidirect
26. #19099297C22semidirect
27. #19099297C22semidirect
28. #19099296C22semidirect
29. #19099290C22semidirect
30. #19099286C22semidirect
31. #19099284C22semidirect
32. #19099284C22semidirect
33. #19099284C22semidirect
34. #19099283C22semidirect
35. #19099281C22semidirect
36. #19099281C22semidirect
37. #19099280C22semidirect
38. #19099280C22semidirect
39. #19099278C22semidirect
40. #19099278C22semidirect
41. #19099277C22semidirect
42. #19099277C22semidirect
43. #19099276C22semidirect
44. #19099276C22semidirect
45. #19099274C22semidirect
46. #19099271C22semidirect
47. #19099268C22semidirect
48. #19099267C22semidirect
49. #19099266C22semidirect
50. #19099263C22semidirect
51. #19099262C22semidirect
52. #19099261C22semidirect
53. #19099261C22semidirect
54. #19099260C22semidirect
55. #19099260C22semidirect
56. #19099259C22semidirect
57. #19099258C22semidirect
58. #19099254C22semidirect
59. #19099253C22semidirect
60. #19099251C22semidirect
61. #19099250C22semidirect
62. #19099248C22semidirect
63. #19099248C22semidirect
64. #19099247C22semidirect
65. #19099247C22semidirect
66. #19099245C22semidirect
67. #19099232C22semidirect
68. #19099231C22semidirect
69. #19099216C22semidirect
70. #19099215C22semidirect
71. #19099214C22semidirect
72. #19099213C22semidirect
73. #19099212C22semidirect
74. #19099194C22semidirect
75. #19099193C22semidirect
76. #19099191C22semidirect
77. #19099190C22semidirect
79. #19099162C22semidirect
80. #19099161C22semidirect
81. #19099160C22semidirect
82. #19099159C22semidirect
83. #19099159C22semidirect
84. #19099158C22semidirect
85. #19099156C22semidirect
86. #19099152C22semidirect
87. #19099149C22semidirect
88. #19099149C22semidirect
89. #19099148C22semidirect
90. #19099146C22semidirect
91. #19099145C22semidirect
98. #19099136C22semidirect
99. #19099136C22semidirect
100. #19099136C22semidirect
101. #19099135C22semidirect
102. #19099129C22semidirect
103. #19099129C22semidirect
104. #19099129C22semidirect
105. #19099128C22semidirect
109. #19099119C22semidirect
110. #19099118C22semidirect
111. #19099115C22semidirect
115. #19099098C22semidirect
116. #19099096C22semidirect
117. #19099095C22semidirect
118. #19099093C22semidirect
119. #19099091C22semidirect
120. #19099090C22semidirect
121. #19099076C22semidirect
122. #19099076C22semidirect
123. #19099076C22semidirect
124. #19099075C22semidirect
125. #19099074C22semidirect
126. #19099074C22semidirect
127. #19099073C22semidirect
128. #19099073C22semidirect
129. #19099072C22semidirect
130. #19099072C22semidirect
131. #19099072C22semidirect
132. #19099071C22semidirect
133. #19099070C22semidirect
134. #19099070C22semidirect
135. #19099046C22semidirect
136. #19099045C22semidirect
137. #19099044C22semidirect
138. #19099044C22semidirect
139. #19099044C22semidirect
140. #19099044C22semidirect
141. #19099044C22semidirect
142. #19099044C22semidirect
143. #19099043C22semidirect
144. #19099043C22semidirect
145. #19099042C22semidirect
146. #19099042C22semidirect
147. C2×#14579126C22semidirect
148. C4×Q8×D79C22semidirect
151. C2×C4×C22⋊D79C22semidirect
153. C4×D4×D79C22semidirect
154. C2×#14579120C22semidirect
156. C2×#14579119C22semidirect
158. #117×D79C22semidirect
160. C2×C4⋊C4×D79C22semidirect
161. C2×C4⋊C4×D79C22semidirect
162. #554×C79C22semidirect
163. #553×C79C22semidirect
164. #552×C79C22semidirect
165. #547×C79C22semidirect
166. #544×C79C22semidirect
167. #539×C79C22semidirect
169. #525×C79C22semidirect
170. #525×C79C22semidirect
171. #520×C79C22semidirect
172. C22×C4⋊C4×C79C22semidirect
518. C2×C4×D79#41semidirect
806. #3492D79semidirect
814. C79#62845semidirect
840. #554C2×D79semidirect
850. #553C2×D79semidirect
860. #552C2×D79semidirect
868. #547C2×D79semidirect
873. #544C2×D79semidirect
882. #539C2×D79semidirect
933. #525C2×D79semidirect
934. #525C2×D79semidirect
947. #520C2×D79semidirect
963. C22×C4⋊C4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237772632
#237772602
#237772592
#237772502
#237772462
#237772432
#237771182
#237771172
#237771162
#237771132
#237771102
#237771092
#237771082
#237771072
#237771022
#237768082
#237768072
#237768042
#237767302
#237767282
C2×#190990442
#520×D792
C79×#34922
#6284579