Finite Group Databasebeta

← #35196852

Subgroups — #35196852

Order 20224.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777314C214yesmaximal, complemented
2#23777308C212yesmaximal, complemented
3#23777304C212yesmaximal, complemented
4#23777290C214yesmaximal, complemented
5#23777283C212yesmaximal, complemented
6#23777273C212yesmaximal, complemented
7#23777265C211yesmaximal, characteristic, complemented
8#23777264C212yesmaximal, complemented
9#23777254C211yesmaximal, characteristic, complemented
10#23777249C211yesmaximal, characteristic, complemented
11#23777245C212yesmaximal, complemented
12#23777235C214yesmaximal, complemented
13#23777232C214yesmaximal, complemented
14#23777000C212yesmaximal, complemented
15#23776996C212yesmaximal, complemented
16#23776992C214yesmaximal, complemented
17#23776966C212yesmaximal, complemented
18#23776961C212yesmaximal, complemented
19#23776953C214yesmaximal, complemented
20#23776786C214yesmaximal, complemented
21#23776732C212yesmaximal, complemented
22#23776694C214yesmaximal, complemented
23#533×D79C211yesmaximal, characteristic, complemented
24#532×D79C211yesmaximal, characteristic, complemented
25#23776600C212yesmaximal, complemented
26C2×C4×#11929625C211yesmaximal, characteristic, complemented
27C79×#3507C211yesmaximal, characteristic, complemented
28C22×#11929625C2211yescharacteristic
29C2×#41×D79C2212yes—
30#19099298C2214yescomplemented
31#19099298C2214yescomplemented
32#19099298C2212yescomplemented
33#19099296C2214yescomplemented
34#19099295C2214yescomplemented
35#19099295C2214yescomplemented
36#19099291C2212yescomplemented
37#19099288C2214yescomplemented
38#19099287C2212yescomplemented
39#19099287C2214yescomplemented
40#19099286C2212yescomplemented
41#19099286C2212yescomplemented
42#19099285C2214yescomplemented
43#19099285C2214yescomplemented
44#19099284C2214yescomplemented
45#19099282C2214yescomplemented
46#19099279C2212yescomplemented
47#19099278C2212yescomplemented
48#19099276C2214yescomplemented
49#19099273C2212yescomplemented
50#19099271C2214yescomplemented
51#19099266C2214yescomplemented
52#19099266C2214yescomplemented
53#19099266C2218yescomplemented
54#19099264C2218yescomplemented
55#19099264C2218yescomplemented
56#19099263C2214yescomplemented
57#19099261C2214yescomplemented
58#19099259C2214yescomplemented
59#19099258C2218yescomplemented
60#19099257C2214yescomplemented
61#19099257C2218yescomplemented
62#19099255C2214yescomplemented
63#19099254C2214yescomplemented
64#19099254C2214yescomplemented
65#19099251C2214yescomplemented
66#19099247C2214yescomplemented
67#19099245C2218yescomplemented
68#19099240C2218yescomplemented
69#19099238C2218yescomplemented
70#19099238C2218yescomplemented
71#19099237C2218yescomplemented
72#19099235C2212yescomplemented
73#19099234C2214yescomplemented
74#19099233C2212yescomplemented
75#19099225C2214yescomplemented
76#19099223C2218yescomplemented
77#19099221C2214yescomplemented
78#19099217C2212yescomplemented
79#19099216C2212yescomplemented
80#19099214C2214yescomplemented
81#19099208C2214yescomplemented
82#19099206C2214yescomplemented
83#19099205C2218yescomplemented
84#19099183C2218yescomplemented
85#19099179C2218yescomplemented
86#19099172C2218yescomplemented
87#19099165C2218yescomplemented
88#19099160C2214yescomplemented
89#19099157C2218yescomplemented
90#19099153C2214yescomplemented
91#19099150C2214yescomplemented
92#19099146C2218yescomplemented
93#19099143C2214yescomplemented
94#19099143C2214yescomplemented
95#19099138C2214yes—
96#19099137C2212yescomplemented
97#19099132C2212yescomplemented
98#19099131C2214yes—
99#19099127C2212yescomplemented
100#19099124C2218yes—
101#19099120C2211yescharacteristic, complemented
102#19099119C2214yescomplemented
103#19099119C2212yescomplemented
104#19099118C2211yescharacteristic, complemented
105#19099118C2211yescharacteristic, complemented
106#19099117C2214yescomplemented
107#19099117C2212yescomplemented
108#19099117C2212yescomplemented
109#19099116C2212yescomplemented
110#19099115C2212yescomplemented
111#19099115C2212yescomplemented
112#19099114C2211yescharacteristic, complemented
113#19099114C2214yescomplemented
114#19099113C2211yescharacteristic
115#19099112C2214yescomplemented
116#19099112C2212yescomplemented
117#19099112C2214yescomplemented
118#19099111C2211yescharacteristic, complemented
119#19099110C2212yescomplemented
120#19099110C2214yescomplemented
121#19099110C2212yescomplemented
122#19099109C2212yes—
123#19099108C2212yes—
124#19099108C2212yes—
125C4⋊Q8×D79C2211yescharacteristic, complemented
126C4⋊Q8×D79C2211yescharacteristic, complemented
127C4⋊Q8×D79C2211yescharacteristic, complemented
128#127×D79C2211yescharacteristic, complemented
129#19099099C2218yescomplemented
130#19099098C2218yescomplemented
131#19099098C2214yescomplemented
132#19099097C2214yescomplemented
133#19099096C2218yescomplemented
134#19099096C2218yescomplemented
135#19099096C2218yescomplemented
136#19099092C2214yescomplemented
137#19099091C2218yescomplemented
138#19099090C2218yescomplemented
139#19099090C2218yescomplemented
140#125×D79C2212yescomplemented
141#124×D79C2212yescomplemented
142#19099076C2214yes—
143#19099076C2214yes—
144#19099076C2214yescomplemented
145#19099073C2214yescomplemented
146#19099072C2218yescomplemented
147#19099071C2218yescomplemented
148C22⋊Q8×D79C2212yes—
149C22⋊Q8×D79C2212yes—
150#121×D79C2212yes—
151#121×D79C2212yes—
152#19099046C2212yescomplemented
153#19099044C2214yescomplemented
154#19099044C2212yescomplemented
155#19099043C2214yescomplemented
156#19099043C2212yescomplemented
157#19099039C2214yescomplemented
158#19099035C2218yes—
159#19099035C2214yescomplemented
160C4×#11929625C2212yes—
161C4×#11929625C2212yes—
162C4×#11929625C2212yes—
163C4×#11929625C2212yes—
164C4×#11929625C2212yescomplemented
165C4×#11929625C2212yescomplemented
166C4×#11929625C2212yescomplemented
167C4×#11929625C2212yescomplemented
168C4×#11929625C2214yescomplemented
169C4×#11929625C2214yescomplemented
170#19099031C2218yescomplemented
171C4×#11929623C2218yescomplemented
172C4×#11929623C2214yescomplemented
173C4×#11929623C2214yescomplemented
174C2×Q8×Dic79C2211yescharacteristic, complemented
175C4×Q8×D79C2212yescomplemented
176C4×Q8×D79C2212yescomplemented
177C2×C4×D316C2212yes—
178C2×C4×D316C2211yescharacteristic, complemented
179C2×#14579123C2212yes—
180C2×#14579123C2211yescharacteristic, complemented
181C4×D4×D79C2212yescomplemented
182C4×D4×D79C2212yescomplemented
183C2×#14579119C2211yescharacteristic
184C2×#14579119C2212yescomplemented
185C2×#14579119C2214yescomplemented
186#117×D79C2212yes—
187#117×D79C2214yescomplemented
188C2×C42×D79C2211yescharacteristic
189C2×C42×D79C2212yescomplemented
190#559×C79C2212yescomplemented
191#557×C79C2212yescomplemented
192#556×C79C2214yescomplemented
193#556×C79C2212yescomplemented
194#554×C79C2212yescomplemented
195#552×C79C2214yescomplemented
196#539×C79C2214yescomplemented
197#536×C79C2212yescomplemented
198#533×C79C2211yescharacteristic, complemented
199#532×C79C2211yescharacteristic
200#529×C79C2214yescomplemented
201#520×C79C2212yescomplemented
202C2×C4×Q8×C79C2211yescharacteristic, complemented
203C2×#11929625—28no—
204C2×#11929625C2312yes—
205C2×#11929625C2312yes—
206C2×#11929625C2312yes—
207C2×#11929625C2312yes—
208C2×#11929625C2312yes—
209C2×#11929625C2314yes—
210C2×#11929624C2312yes—
211C2×#11929624C2314yes—
212C2×#11929624C2318yes—
213C2×#11929623C2314yes—
214C2×#11929623C2312yes—
215C2×#11929623C2314yes—
216#41×D79—216no—
217C2×Q8×D79C2312yes—
218C2×Q8×D79C2312yes—
219C2×Q8×D79C2312yes—
220C22×D316C2312yes—
221C22×D316C2311yescharacteristic
222C2×D4×D79C2314yes—
223C2×D4×D79C2312yes—
224C2×D4×D79C2312yes—
225C2×D4×D79C2312yes—
226C22×C4×D79C2312yes—
227C22×C4×D79C2314yes—
228C22×C4×D79C2311yescharacteristic
229C22×C4×D79C2311yescharacteristic
230C22×C4×D79C2312yes—
231C22×C4×D79C2312yes—
232C22×C4×D79C2311yescharacteristic
233#14579161C2311yescharacteristic
234#14579161C2311yescharacteristic
235#14579161C2311yescharacteristic
236#14579160C2312yes—
237#14579160C2312yes—
238#14579160C2312yes—
239#14579160C2312yes—
240#14579160C2312yes—
241#14579160C2312yes—
242#14579159C2314yes—
243#14579159C2312yes—
244#14579159C2312yes—
245#14579159C2312yes—
246#14579158C2314yes—
247#14579158C2311yescharacteristic
248#14579157C2312yes—
249#14579157C2314yes—
250#14579157C2312yes—
251#14579157C2312yes—
252#14579156C2318yes—
253#14579156C2318yes—
254#14579156C2318yes—
255#14579156C2318yes—
256#14579156C2318yes—
257#14579156C2318yes—
258#14579155C2318yes—
259#14579155C2318yes—
260#14579154C2318yes—
261#14579154C2318yes—
262#14579153C2312yes—
263#14579153C2314yes—
264#14579152C2318yes—
265#14579152C2312yes—
266#14579152C2312yes—
267#14579151C2318yes—
268#14579151C2318yes—
269#14579151C2314yes—
270#14579151C2318yes—
271#14579151C2314yes—
272#14579150C2314yes—
273#14579150C2314yes—
274#14579150C2318yes—
275#14579150C2312yes—
276#14579149C2314yes—
277#14579149C2318yes—
278#14579149C2314yes—
279#14579149C2312yes—
280#14579148C2312yes—
281#14579147C2318yes—
282#14579147C2318yes—
283#14579147C2314yes—
284#14579147C2318yes—
285#14579147C2314yes—
286#14579146C2318yes—
287#14579146C2318yes—
288#14579146C2318yes—
289#14579146C2318yes—
290#14579146C2318yes—
291#14579146C2318yes—
292#14579146C2318yes—
293#14579145C2318yes—
294#14579145C2318yes—
295#14579144C2318yes—
296#14579144C2318yes—
297#14579143C2318yes—
298#14579143C2318yes—
299#14579143C2318yes—
300#14579141C2318yes—
301#14579141C2312yes—
302#14579141C2314yes—
303#14579141C2312yes—
304#14579140C2312yes—
305#14579140C2312yes—
306#14579139C2318yes—
307#14579139C2318yes—
308#14579139C2318yes—
309#14579139C2314yes—
310#14579139C2318yes—
311#14579139C2314yes—
312#14579138C2314yes—
313#14579138C2318yes—
314#14579138C2314yes—
315#14579137C2314yes—
316#14579137C2314yes—
317#14579137C2312yes—
318#14579137C2314yes—
319#14579137C2312yes—
320#14579136C2314yes—
321#14579136C2314yes—
322#14579136C2318yes—
323#14579136C2318yes—
324#14579136C2318yes—
325#14579136C2314yes—
326#14579136C2312yes—
327#14579136C2312yes—
328#14579135C2314yes—
329#14579135C2314yes—
330#14579135C2318yes—
331#14579135C2312yes—
332#14579135C2312yes—
333#14579134C2318yes—
334#14579134C2318yes—
335#14579134C2318yes—
336#14579134C2318yes—
337#14579134C2318yes—
338#14579134C2318yes—
339#14579134C2314yes—
340#14579134C2314yes—
341#14579133C2314yes—
342#14579133C2318yes—
343#14579133C2314yes—
344#14579132C2314yes—
345#14579132C2312yes—
346#14579132C2312yes—
347#14579131C2318yes—
348#14579131C2318yes—
349#14579131C2318yes—
350#14579129C2318yes—
351Q8×Dic79C2312yes—
352Q8×Dic79C2312yes—
353Q8×Dic79C2312yes—
354Q8×Dic79C2312yes—
355Q8×Dic79C2312yes—
356Q8×Dic79C2312yes—
357Q8×Dic79C2314yes—
358C4×Dic158C2318yes—
359C4×Dic158C2314yes—
360C4×Dic158C2312yes—
361C4×Dic158C2314yes—
362C4×Dic158C2314yes—
363C4×Dic158C2312yes—
364C4×Dic158C2314yes—
365#14579126C2318yes—
366#14579126C2318yes—
367#14579126C2312yes—
368#14579126C2314yes—
369#14579126C2314yes—
370#14579126C2312yes—
371#14579126C2314yes—
372C4×D316C2314yes—
373C4×D316C2314yes—
374C4×D316C2312yes—
375C4×D316C2312yes—
376C4×D316C2314yes—
377C4×D316C2318yes—
378C4×D316C2312yes—
379C4×D316C2314yes—
380C4×D316C2314yes—
381C4×D316C2318yes—
382C4×D316C2312yes—
383C4×D316C2314yes—
384C4×D316C2312yes—
385C4×D316C2312yes—
386D4×Dic79C2318yes—
387D4×Dic79C2314yes—
388D4×Dic79C2312yes—
389D4×Dic79C2312yes—
390#14579123C2314yes—
391#14579123C2312yes—
392#14579123C2314yes—
393#14579123C2318yes—
394#14579123C2312yes—
395#14579123C2314yes—
396#14579123C2314yes—
397#14579123C2318yes—
398#14579123C2312yes—
399#14579123C2314yes—
400#14579123C2312yes—
401#14579123C2312yes—
402#14579123C2312yes—
403#14579123C2318yes—
404#14579123C2318yes—
405C4×C22⋊D79C2318yes—
406C4×C22⋊D79C2318yes—
407C4×C22⋊D79C2314yes—
408C4×C22⋊D79C2318yes—
409C4×C22⋊D79C2318yes—
410C4×C22⋊D79C2314yes—
411(C22⋊D79)⋊C4C2318yes—
412(C22⋊D79)⋊C4C2318yes—
413(C22⋊D79)⋊C4C2318yes—
414(C22⋊D79)⋊C4C2318yes—
415(C22⋊D79)⋊C4C2318yes—
416(C22⋊D79)⋊C4C2314yes—
417(C22⋊D79)⋊C4C2314yes—
418(C22⋊D79)⋊C4C2318yes—
419(C22⋊D79)⋊C4C2318yes—
420#14579120C2312yes—
421#14579120C2314yes—
422#14579119C2314yes—
423#14579119C2314yes—
424#14579119C2318yes—
425#14579119C2318yes—
426#14579119C2314yes—
427#14579119C2314yes—
428#14579119C2314yes—
429#14579119C2314yes—
430#14579119C2312yes—
431#14579119C2312yes—
432#14579119C2312yes—
433#14579119C2312yes—
434#14579119C2312yes—
435#14579119C2312yes—
436#14579119C2318yes—
437#14579119C2314yes—
438#14579119C2314yes—
439#14579118C2314yes—
440#14579118C2318yes—
441#14579118C2318yes—
442#14579118C2318yes—
443#14579117C2318yes—
444#14579117C2314yes—
445#14579117C2318yes—
446C2×C4⋊Dic79C2312yes—
447C2×C4⋊Dic79C2314yes—
448C2×C4⋊Dic79C2311yescharacteristic
449C4⋊C4×D79C2312yes—
450C4⋊C4×D79C2312yes—
451C4⋊C4×D79C2314yes—
452C4⋊C4×D79C2314yes—
453C4⋊C4×D79C2312yes—
454C4⋊C4×D79C2312yes—
455C4⋊C4×D79C2314yes—
456C4⋊C4×D79C2314yes—
457C4⋊C4×D79C2312yes—
458C4⋊C4×D79C2312yes—
459C2×(C2×D79)⋊C4C2312yes—
460C2×(C2×D79)⋊C4C2312yes—
461C2×(C2×D79)⋊C4C2318yes—
462C2×(C2×D79)⋊C4C2312yes—
463C22⋊C4×D79C2318yes—
464C22⋊C4×D79C2314yes—
465C22⋊C4×D79C2314yes—
466C22⋊C4×D79C2314yes—
467C2×C4×Dic79C2311yescharacteristic
468C2×C4×Dic79C2311yescharacteristic
469C2×C4×Dic79C2311yescharacteristic
470C2×C4×Dic79C2312yes—
471C2×C4×Dic79C2312yes—
472C2×C4×Dic79C2318yes—
473C42×D79C2311yescharacteristic
474C42×D79C2311yescharacteristic
475C42×D79C2311yescharacteristic
476C42×D79C2311yescharacteristic
477C42×D79C2311yescharacteristic
478C42×D79C2311yescharacteristic
479C42×D79C2311yescharacteristic
480C42×D79C2311yescharacteristic
481C42×D79C2314yes—
482C42×D79C2314yes—
483C42×D79C2314yes—
484C42×D79C2314yes—
485C42×D79C2314yes—
486C42×D79C2318yes—
487C2×#41×C79C2312yes—
488C22×Q8×C79C2311yescharacteristic
489C4⋊Q8×C79C2314yes—
490C4⋊Q8×C79C2311yescharacteristic
491C4⋊Q8×C79C2311yescharacteristic
492C4⋊Q8×C79C2311yescharacteristic
493#127×C79C2311yescharacteristic
494#126×C79C2318yes—
495#126×C79C2318yes—
496#125×C79C2318yes—
497#125×C79C2314yes—
498#125×C79C2312yes—
499#124×C79C2314yes—
500#124×C79C2312yes—
501#124×C79C2314yes—
502#123×C79C2318yes—
503#123×C79C2318yes—
504C22⋊Q8×C79C2314yes—
505C22⋊Q8×C79C2314yes—
506C22⋊Q8×C79C2312yes—
507C22⋊Q8×C79C2318yes—
508C22⋊Q8×C79C2312yes—
509#121×C79C2312yes—
510#121×C79C2312yes—
511C4×Q8×C79C2314yes—
512C4×Q8×C79C2312yes—
513C4×Q8×C79C2312yes—
514C4×Q8×C79C2312yes—
515C4×Q8×C79C2312yes—
516C4×Q8×C79C2312yes—
517C4×Q8×C79C2314yes—
518C4×Q8×C79C2312yes—
519C4×D4×C79C2318yes—
520C4×D4×C79C2314yes—
521C4×D4×C79C2312yes—
522C4×D4×C79C2314yes—
523C4×D4×C79C2312yes—
524#117×C79C2318yes—
525#117×C79C2312yes—
526#117×C79C2314yes—
527C2×C4⋊C4×C79C2312yes—
528C2×C4⋊C4×C79C2314yes—
529C2×C4⋊C4×C79C2311yescharacteristic
530C2×C42×C79C2312yes—
531C2×C42×C79C2311yescharacteristic
532C23×D79C2414yes—
533C23×D79C2412yes—
534C23×D79C2411yescharacteristic
535#11929625—28no—
536#11929625—28no—
537#11929625—28no—
538#11929625—28no—
539#11929625—28no—
540#11929625—48no—
541#11929624—216no—
542#11929624—28no—
543#11929624—416no—
544#11929623—216no—
545#11929623—28no—
546#11929623—48no—
547C2×Dic158C2412yes—
548C2×Dic158C2414yes—
549C2×Dic158C2412yes—
550C2×Dic158C2414yes—
551C2×Dic158C2414yes—
552C2×Dic158C2412yes—
553Q8×D79—28no—
554Q8×D79—44no—
555Q8×D79—44no—
556C2×D316—28no—
557C2×D316—24no—
558C2×D316C2414yes—
559C2×D316C2412yes—
560C2×D316C2414yes—
561C2×D316C2414yes—
562C2×D316C2412yes—
563C2×D316C2412yes—
564C2×D316C2412yes—
565C2×D316C2418yes—
566C2×D316C2418yes—
567C2×D316C2412yes—
568C2×C22⋊D79C2414yes—
569C2×C22⋊D79C2414yes—
570C2×C22⋊D79C2414yes—
571C2×C22⋊D79C2414yes—
572C2×C22⋊D79C2418yes—
573C2×C22⋊D79C2418yes—
574C2×C22⋊D79C2414yes—
575D4×D79—28no—
576D4×D79—216no—
577D4×D79—44no—
578D4×D79—44no—
579C22×Dic79C2414yes—
580C22×Dic79C2411yescharacteristic
581C22×Dic79C2418yes—
582C22×Dic79C2412yes—
583C22×Dic79C2411yescharacteristic
584C22×Dic79C2411yescharacteristic
585C2×C4×D79—28no—
586C2×C4×D79—216no—
587C2×C4×D79—42no—
588C2×C4×D79—44no—
589C2×C4×D79—42no—
590C2×C4×D79—44no—
591C2×C4×D79#4118yescomplemented
592C2×C4×D79C2411yescharacteristic
593C2×C4×D79C2411yescharacteristic
594C2×C4×D79C2414yes—
595C2×C4×D79C2414yes—
596C2×C4×D79C2414yes—
597C2×C4×D79C2414yes—
598C2×C4×D79C2414yes—
599C2×C4×D79C2414yes—
600C2×C4×D79C2414yes—
601C2×C4×D79C2411yescharacteristic
602C2×C4×D79C2411yescharacteristic
603C2×C4×D79C2414yes—
604C2×C4×D79C2414yes—
605C2×C4×D79C2418yes—
606C2×C4×D79C2418yes—
607C2×C4×D79C2411yescharacteristic
608C2×C4×D79C2411yescharacteristic
609C2×C4×D79C2411yescharacteristic
610C2×C4×D79C2411yescharacteristic
611C2×C4×D79C2414yes—
612C2×C4×D79C2414yes—
613C2×C4×D79C2411yescharacteristic
614C2×C4×D79C2411yescharacteristic
615C2×C4×D79C2411yescharacteristic
616C2×C4×D79C2411yescharacteristic
617C4⋊Dic79C2412yes—
618C4⋊Dic79C2412yes—
619C4⋊Dic79C2412yes—
620C4⋊Dic79C2412yes—
621C4⋊Dic79C2412yes—
622C4⋊Dic79C2414yes—
623C4⋊Dic79C2412yes—
624C4⋊Dic79C2414yes—
625C4⋊Dic79C2412yes—
626C4⋊Dic79C2412yes—
627C4⋊Dic79C2418yes—
628C4⋊Dic79C2414yes—
629C4⋊Dic79C2414yes—
630Dic79⋊C4C2414yes—
631Dic79⋊C4C2414yes—
632Dic79⋊C4C2418yes—
633Dic79⋊C4C2414yes—
634Dic79⋊C4C2418yes—
635Dic79⋊C4C2414yes—
636Dic79⋊C4C2414yes—
637Dic79⋊C4C2414yes—
638Dic79⋊C4C2414yes—
639Dic79⋊C4C2414yes—
640Dic79⋊C4C2414yes—
641Dic79⋊C4C2414yes—
642Dic79⋊C4C2418yes—
643Dic79⋊C4C2418yes—
644C22⋊Dic79C2414yes—
645C22⋊Dic79C2414yes—
646C22⋊Dic79C2418yes—
647C22⋊Dic79C2414yes—
648(C2×D79)⋊C4C2414yes—
649(C2×D79)⋊C4C2414yes—
650(C2×D79)⋊C4C2414yes—
651(C2×D79)⋊C4C2414yes—
652(C2×D79)⋊C4C2414yes—
653(C2×D79)⋊C4C2414yes—
654(C2×D79)⋊C4C2414yes—
655(C2×D79)⋊C4C2414yes—
656(C2×D79)⋊C4C2418yes—
657(C2×D79)⋊C4C2418yes—
658(C2×D79)⋊C4C2414yes—
659(C2×D79)⋊C4C2414yes—
660(C2×D79)⋊C4C2414yes—
661(C2×D79)⋊C4C2414yes—
662(C2×D79)⋊C4C2418yes—
663(C2×D79)⋊C4C2418yes—
664(C2×D79)⋊C4C2418yes—
665(C2×D79)⋊C4C2418yes—
666(C2×D79)⋊C4C2418yes—
667(C2×D79)⋊C4C2418yes—
668C4×Dic79C2411yescharacteristic
669C4×Dic79C2411yescharacteristic
670C4×Dic79C2411yescharacteristic
671C4×Dic79C2411yescharacteristic
672C4×Dic79C2414yes—
673C4×Dic79C2414yes—
674C4×Dic79C2414yes—
675C4×Dic79C2411yescharacteristic
676C4×Dic79C2414yes—
677C4×Dic79C2411yescharacteristic
678C4×Dic79C2411yescharacteristic
679C4×Dic79C2411yescharacteristic
680C4×Dic79C2414yes—
681C4×Dic79C2411yescharacteristic
682C4×Dic79C2411yescharacteristic
683C4×Dic79C2411yescharacteristic
684C4×Dic79C2411yescharacteristic
685C4×Dic79C2414yes—
686C4×Dic79C2418yes—
687C4×Dic79C2414yes—
688C4×Dic79C2418yes—
689C4×Dic79C2418yes—
690#41×C79—28no—
691C2×Q8×C79—24no—
692C2×Q8×C79C2412yes—
693C2×Q8×C79C2412yes—
694C2×Q8×C79C2412yes—
695C2×Q8×C79C2412yes—
696C2×Q8×C79C2412yes—
697C2×D4×C79C2412yes—
698C2×D4×C79C2414yes—
699C2×D4×C79C2412yes—
700C2×D4×C79C2412yes—
701C22×C4×C79C2414yes—
702C22×C4×C79C2411yescharacteristic
703C22×C4×C79C2412yes—
704C22×C4×C79C2418yes—
705C22×C4×C79C2412yes—
706C22×C4×C79C2411yescharacteristic
707C22×C4×C79C2411yescharacteristic
708C4⋊C4×C79C2412yes—
709C4⋊C4×C79C2412yes—
710C4⋊C4×C79C2412yes—
711C4⋊C4×C79C2418yes—
712C4⋊C4×C79C2414yes—
713C4⋊C4×C79C2414yes—
714C4⋊C4×C79C2412yes—
715C4⋊C4×C79C2414yes—
716C4⋊C4×C79C2418yes—
717C4⋊C4×C79C2412yes—
718C4⋊C4×C79C2412yes—
719C4⋊C4×C79C2412yes—
720C4⋊C4×C79C2414yes—
721C4⋊C4×C79C2418yes—
722C4⋊C4×C79C2412yes—
723C22⋊C4×C79C2414yes—
724C22⋊C4×C79C2414yes—
725C22⋊C4×C79C2418yes—
726C22⋊C4×C79C2418yes—
727C22⋊C4×C79C2414yes—
728C22⋊C4×C79C2418yes—
729C42×C79C2414yes—
730C42×C79C2411yescharacteristic
731C42×C79C2411yescharacteristic
732C42×C79C2414yes—
733C42×C79C2411yescharacteristic
734C42×C79C2411yescharacteristic
735C42×C79C2418yes—
736C42×C79C2414yes—
737C23×C79C2514yes—
738C23×C79C2511yescharacteristic
739C22×D79—24no—
740C22×D79—28no—
741C22×D79—41no—
742C22×D79—41no—
743C22×D79—42no—
744C22×D79—42no—
745C22×D79—44no—
746C22×D79—44no—
747C22×D79C2×#4114yes—
748C22×D79C2514yes—
749C22×D79C2514yes—
750C22×D79C2511yescharacteristic
751C22×D79C2511yescharacteristic
752Q8×C79—24no—
753Q8×C79—24no—
754Q8×C79—24no—
755Q8×C79—24no—
756Q8×C79—42no—
757D4×C79—28no—
758D4×C79—24no—
759D4×C79—24no—
760D4×C79—42no—
761C2×C4×C79—24no—
762C2×C4×C79—28no—
763C2×C4×C79—22no—
764C2×C4×C79—42no—
765C2×C4×C79—41no—
766C2×C4×C79—48no—
767C2×C4×C79C2×#4114yes—
768C2×C4×C79C2514yes—
769C2×C4×C79C2514yes—
770C2×C4×C79C2511yescharacteristic
771C2×C4×C79C2514yes—
772C2×C4×C79C2514yes—
773C2×C4×C79C2511yescharacteristic
774C2×C4×C79C2511yescharacteristic
775C2×C4×C79C2514yes—
776C2×C4×C79C2511yescharacteristic
777C2×C4×C79C2511yescharacteristic
778C2×C4×C79C2511yescharacteristic
779C22⋊D79—28no—
780C22⋊D79—28no—
781C22⋊D79—28no—
782C22⋊D79—28no—
783C22⋊D79—44no—
784C22⋊D79—48no—
785C22⋊D79—48no—
786C2×Dic79—28no—
787C2×Dic79—22no—
788C2×Dic79—41no—
789C2×Dic79—42no—
790C2×Dic79—48no—
791C2×Dic79C2×#4114yes—
792C2×Dic79C2514yes—
793C2×Dic79C2511yescharacteristic
794C2×Dic79C2511yescharacteristic
795C2×Dic79C2514yes—
796C2×Dic79C2514yes—
797C2×Dic79C2514yes—
798C2×Dic79C2511yescharacteristic
799C2×Dic79C2511yescharacteristic
800C2×Dic79C2511yescharacteristic
801C2×Dic79C2511yescharacteristic
802D316—28no—
803D316—28no—
804D316—28no—
805D316—24no—
806D316—24no—
807D316—24no—
808D316—24no—
809D316—42no—
810D316—48no—
811D316—48no—
812C4×D79—28no—
813C4×D79—28no—
814C4×D79—22no—
815C4×D79—22no—
816C4×D79—28no—
817C4×D79—28no—
818C4×D79—28no—
819C4×D79—28no—
820C4×D79—22no—
821C4×D79—22no—
822C4×D79—28no—
823C4×D79—41no—
824C4×D79—41no—
825C4×D79—44no—
826C4×D79—44no—
827C4×D79—41no—
828C4×D79—41no—
829C4×D79—44no—
830C4×D79—44no—
831C4×D79—48no—
832C4×D79—48no—
833C4×D79C2×#4114yes—
834C4×D79C2×#4114yes—
835C4×D79C2×#4114yes—
836C4×D79C2×#4114yes—
837Dic158—24no—
838Dic158—24no—
839Dic158—28no—
840Dic158—28no—
841Dic158—42no—
842Dic158—44no—
843C22×C79—21no—
844C22×C79—21no—
845C22×C79—24no—
846C22×C79—24no—
847C22×C79—24no—
848C22×C79C22×#4112yes—
849C22×C79C2611yescharacteristic
850C2×D79—21no—
851C2×D79—21no—
852C2×D79—21no—
853C2×D79—21no—
854C2×D79—24no—
855C2×D79—24no—
856C2×D79—24no—
857C2×D79—24no—
858C2×D79—24no—
859C2×D79—24no—
860C2×D79—44no—
861C2×D79—48no—
862C2×D79—88no—
863C2×D79C22×#4112yes—
864C2×D79C22×#4112yes—
865C4×C79—24no—
866C4×C79—24no—
867C4×C79—21no—
868C4×C79—24no—
869C4×C79—24no—
870C4×C79—21no—
871C4×C79—21no—
872C4×C79—24no—
873C4×C79C22×#4112yes—
874C4×C79C22×#4112yes—
875C4×C79#58512yes—
876Dic79—24no—
877Dic79—21no—
878Dic79—24no—
879Dic79—24no—
880Dic79—21no—
881Dic79—24no—
882Dic79—21no—
883Dic79C22×#4112yes—
884Dic79C22×#4112yes—
885Dic79#58512yes—
886#62815—791nomaximal, Sylow
887C2×C79—22no—
888C2×C79—44no—
889C2×C79C23×#4111yescharacteristic
890C2×C79C2×#58511yescharacteristic
891C2×C79C2×#58511yescharacteristic
892D79—22no—
893D79—22no—
894D79—44no—
895D79—44no—
896#3512—794no—
897#3511—792no—
898#3511—792no—
899#3510—794no—
900#3509—792no—
901#3508—792no—
902#3507—792no—
903#3507—791no—
904#3507D7911yescharacteristic, complemented
905#3506—791no—
906#3506—791no—
907#3506—792no—
908#3505—794no—
909#3505—794no—
910#3480—792no—
911#3480—792no—
912#3480—794no—
913#3475—792no—
914#3475—792no—
915#3475—794no—
916#3455—794no—
917#3449—792no—
918#3444—794no—
919C2×#533—791no—
920C2×#532—791no—
921#3428—792no—
922C2×C4×#41—791no—
923C79#6281511yescharacteristic, complemented, Sylow
924C22×#41—792no—
925C22×#41—791no—
926#559—794no—
927#559—794no—
928#559—794no—
929#559—794no—
930#559—792no—
931#559—794no—
932#559C2×D7912yescomplemented
933#557—794no—
934#557—792no—
935#557C2×D7912yescomplemented
936#556—792no—
937#556—794no—
938#556—794no—
939#556—794no—
940#556—792no—
941#556—794no—
942#556—794no—
943#556—792no—
944#556C2×D7912yescomplemented
945#556C2×D7914yescomplemented
946#555—792no—
947#555—792no—
948#555—794no—
949#554—794no—
950#554—792no—
951#554C2×D7912yescomplemented
952#553—798no—
953#553—798no—
954#553—794no—
955#553—794no—
956#553—798no—
957#553—798no—
958#553—794no—
959#553—794no—
960#553—794no—
961#553—798no—
962#553—794no—
963#552—798no—
964#552—794no—
965#552—794no—
966#552—794no—
967#552—794no—
968#552—794no—
969#552C2×D7914yescomplemented
970#551—798no—
971#551—798no—
972#551—798no—
973#551—798no—
974#550—792no—
975#550—792no—
976#550—794no—
977#548—794no—
978#548—798no—
979#548—794no—
980#547—792no—
981#547—792no—
982#547—794no—
983#546—794no—
984#546—798no—
985#546—794no—
986#542—798no—
987#542—798no—
988#541—798no—
989#540—798no—
990#539—798no—
991#539—794no—
992#539C2×D7914yescomplemented
993#538—794no—
994#538—794no—
995#538—798no—
996#537—794no—
997#537—794no—
998#536—792no—
999#536—794no—
1000#536C2×D7912yescomplemented
1001#535—792no—
1002#535—794no—
1003#535—792no—
1004#534—798no—
1005#533—791no—
1006#533—791no—
1007#533—792no—
1008#533—794no—
1009#533—792no—
1010#533—792no—
1011#533—792no—
1012#533—792no—
1013#533—794no—
1014#533—792no—
1015#533—791no—
1016#533C2×D7911yescharacteristic, complemented
1017#532—792no—
1018#532—791no—
1019#532—794no—
1020#532—791no—
1021#532—792no—
1022#532—794no—
1023#532—794no—
1024#532—792no—
1025#532—792no—
1026#532—792no—
1027#532—792no—
1028#532—794no—
1029#532—791no—
1030#532C2×D7911yescharacteristic
1031C2×C4⋊Q8—791no—
1032C2×C4⋊Q8—791no—
1033C2×C4⋊Q8—791no—
1034C2×#127—791no—
1035#529—798no—
1036#529—798no—
1037#529—798no—
1038#529—794no—
1039#529—798no—
1040#529—794no—
1041#529—798no—
1042#529—798no—
1043#529—798no—
1044#529—798no—
1045#529—794no—
1046#529C2×D7914yescomplemented
1047C2×#125—792no—
1048C2×#124—792no—
1049#525—798no—
1050#525—794no—
1051#525—794no—
1052#525—794no—
1053#525—794no—
1054#525—798no—
1055C2×C22⋊Q8—792no—
1056C2×C22⋊Q8—792no—
1057C2×#121—792no—
1058C2×#121—792no—
1059#520—792no—
1060#520—792no—
1061#520—794no—
1062#520—792no—
1063#520—794no—
1064#520C2×D7912yescomplemented
1065#519—794no—
1066#518—798no—
1067#518—794no—
1068C4×#41—792no—
1069C4×#41—792no—
1070C4×#41—792no—
1071C4×#41—792no—
1072C4×#41—792no—
1073C4×#41—792no—
1074C4×#41—792no—
1075C4×#41—792no—
1076C4×#41—794no—
1077C4×#41—794no—
1078C4×#41—798no—
1079C4×#41—794no—
1080C4×#41—794no—
1081C4×#41—798no—
1082C2×C4×Q8—791no—
1083C2×C4×Q8—792no—
1084C2×C4×Q8—792no—
1085C2×C4×Q8C2×D7911yescharacteristic, complemented
1086C2×C4×D4—792no—
1087C2×C4×D4—792no—
1088C2×C4×D4—792no—
1089C2×C4×D4—791no—
1090C2×C4×D4—792no—
1091C2×C4×D4—791no—
1092C2×#117—792no—
1093C2×#117—794no—
1094C2×#117—791no—
1095C2×#117—792no—
1096C2×#117—794no—
1097C22×C42—791no—
1098C22×C42—792no—
1099C2×#41—794no—
1100C2×#41—792no—
1101C2×#41—792no—
1102C2×#41—792no—
1103C2×#41—792no—
1104C2×#41—792no—
1105C2×#41—794no—
1106C2×#41—794no—
1107C2×#41—792no—
1108C2×#41—798no—
1109C2×#41—792no—
1110C2×#41—794no—
1111C2×#41—1588no—
1112C2×#41—15816no—
1113C2×#41C22×D7912yes—
1114C22×Q8—792no—
1115C22×Q8—792no—
1116C22×Q8—792no—
1117C22×Q8C22×D7911yescharacteristic
1118C22×D4—792no—
1119C22×D4—792no—
1120C22×D4—794no—
1121C22×D4—792no—
1122C22×D4—792no—
1123C22×D4—791no—
1124C23×C4—791no—
1125C23×C4—791no—
1126C23×C4—792no—
1127C23×C4—792no—
1128C23×C4—791no—
1129C23×C4—794no—
1130C23×C4—792no—
1131C4⋊Q8—792no—
1132C4⋊Q8—792no—
1133C4⋊Q8—792no—
1134C4⋊Q8—794no—
1135C4⋊Q8—792no—
1136C4⋊Q8—792no—
1137C4⋊Q8—792no—
1138C4⋊Q8—792no—
1139C4⋊Q8—792no—
1140C4⋊Q8—792no—
1141C4⋊Q8—791no—
1142C4⋊Q8—791no—
1143C4⋊Q8—791no—
1144C4⋊Q8C22×D7911yescharacteristic
1145C4⋊Q8C22×D7911yescharacteristic
1146C4⋊Q8C22×D7911yescharacteristic
1147C4⋊Q8C22×D7914yes—
1148#127—792no—
1149#127—792no—
1150#127—792no—
1151#127—794no—
1152#127—791no—
1153#127—794no—
1154#127C22×D7911yescharacteristic
1155#126—798no—
1156#126—798no—
1157#126—798no—
1158#126—798no—
1159#126—798no—
1160#126—798no—
1161#126—798no—
1162#126—798no—
1163#126—798no—
1164#126—798no—
1165#126C22×D7918yes—
1166#126C22×D7918yes—
1167#125—794no—
1168#125—794no—
1169#125—792no—
1170#125—792no—
1171#125—798no—
1172#125—798no—
1173#125—798no—
1174#125—798no—
1175#125—792no—
1176#125—794no—
1177#125C22×D7912yes—
1178#125C22×D7914yes—
1179#125C22×D7918yes—
1180#124—792no—
1181#124—798no—
1182#124—794no—
1183#124—794no—
1184#124—792no—
1185#124—794no—
1186#124—794no—
1187#124—798no—
1188#124—798no—
1189#124—798no—
1190#124—792no—
1191#124—794no—
1192#124—798no—
1193#124—794no—
1194#124C22×D7912yes—
1195#124C22×D7914yes—
1196#124C22×D7914yes—
1197#123—798no—
1198#123—798no—
1199#123—798no—
1200#123—798no—
1201#123—798no—
1202#123—798no—
1203#123—798no—
1204#123—798no—
1205#123—798no—
1206#123—798no—
1207#123—798no—
1208#123—798no—
1209#123—798no—
1210#123—798no—
1211#123C22×D7918yes—
1212#123C22×D7918yes—
1213C22⋊Q8—792no—
1214C22⋊Q8—792no—
1215C22⋊Q8—794no—
1216C22⋊Q8—794no—
1217C22⋊Q8—794no—
1218C22⋊Q8—792no—
1219C22⋊Q8—792no—
1220C22⋊Q8—794no—
1221C22⋊Q8—792no—
1222C22⋊Q8—794no—
1223C22⋊Q8—792no—
1224C22⋊Q8—798no—
1225C22⋊Q8—798no—
1226C22⋊Q8—798no—
1227C22⋊Q8—794no—
1228C22⋊Q8—798no—
1229C22⋊Q8—798no—
1230C22⋊Q8—794no—
1231C22⋊Q8—794no—
1232C22⋊Q8—798no—
1233C22⋊Q8C22×D7912yes—
1234C22⋊Q8C22×D7912yes—
1235C22⋊Q8C22×D7914yes—
1236C22⋊Q8C22×D7914yes—
1237C22⋊Q8C22×D7918yes—
1238#121—794no—
1239#121—794no—
1240#121—792no—
1241#121—792no—
1242#121—794no—
1243#121—798no—
1244#121—792no—
1245#121—792no—
1246#121—794no—
1247#121—794no—
1248#121—798no—
1249#121—792no—
1250#121—792no—
1251#121—794no—
1252#121—794no—
1253#121—794no—
1254#121—798no—
1255#121—798no—
1256#121—798no—
1257#121—794no—
1258#121—794no—
1259#121—798no—
1260#121—798no—
1261#121—798no—
1262#121—798no—
1263#121—798no—
1264#121—798no—
1265#121C22×D7912yes—
1266#121C22×D7912yes—
1267#120—798no—
1268#120—798no—
1269#120—798no—
1270#120—798no—
1271C4×Q8—792no—
1272C4×Q8—792no—
1273C4×Q8—792no—
1274C4×Q8—792no—
1275C4×Q8—792no—
1276C4×Q8—792no—
1277C4×Q8—794no—
1278C4×Q8—794no—
1279C4×Q8—792no—
1280C4×Q8—792no—
1281C4×Q8—794no—
1282C4×Q8—798no—
1283C4×Q8—794no—
1284C4×Q8—798no—
1285C4×Q8—794no—
1286C4×Q8—792no—
1287C4×Q8—794no—
1288C4×Q8—792no—
1289C4×Q8—798no—
1290C4×Q8—794no—
1291C4×Q8—794no—
1292C4×Q8C22×D7912yes—
1293C4×Q8C22×D7912yes—
1294C4×Q8C22×D7912yes—
1295C4×Q8C22×D7912yes—
1296C4×Q8C22×D7912yes—
1297C4×Q8C22×D7912yes—
1298C4×Q8C22×D7914yes—
1299C4×Q8C22×D7914yes—
1300C4×D4—792no—
1301C4×D4—792no—
1302C4×D4—798no—
1303C4×D4—794no—
1304C4×D4—794no—
1305C4×D4—794no—
1306C4×D4—798no—
1307C4×D4—798no—
1308C4×D4—798no—
1309C4×D4—798no—
1310C4×D4—792no—
1311C4×D4—794no—
1312C4×D4—792no—
1313C4×D4—794no—
1314C4×D4—792no—
1315C4×D4—794no—
1316C4×D4—794no—
1317C4×D4—792no—
1318C4×D4—792no—
1319C4×D4—792no—
1320C4×D4—798no—
1321C4×D4—794no—
1322C4×D4—798no—
1323C4×D4—798no—
1324C4×D4—798no—
1325C4×D4—794no—
1326C4×D4—794no—
1327C4×D4—798no—
1328C4×D4—798no—
1329C4×D4—798no—
1330C4×D4—798no—
1331C4×D4—798no—
1332C4×D4—798no—
1333C4×D4—798no—
1334C4×D4—794no—
1335C4×D4—792no—
1336C4×D4—794no—
1337C4×D4—792no—
1338C4×D4—794no—
1339C4×D4—794no—
1340C4×D4—792no—
1341C4×D4—792no—
1342C4×D4—792no—
1343C4×D4—792no—
1344C4×D4—798no—
1345C4×D4—794no—
1346C4×D4—798no—
1347C4×D4—794no—
1348C4×D4C22×D7912yes—
1349C4×D4C22×D7912yes—
1350C4×D4C22×D7918yes—
1351C4×D4C22×D7914yes—
1352C4×D4C22×D7914yes—
1353#117—792no—
1354#117—794no—
1355#117—792no—
1356#117—792no—
1357#117—792no—
1358#117—792no—
1359#117—792no—
1360#117—792no—
1361#117—794no—
1362#117—794no—
1363#117—798no—
1364#117—794no—
1365#117—794no—
1366#117—798no—
1367#117—794no—
1368#117—794no—
1369#117—794no—
1370#117—794no—
1371#117—798no—
1372#117—794no—
1373#117—798no—
1374#117—798no—
1375#117—794no—
1376#117—798no—
1377#117—798no—
1378#117—798no—
1379#117C22×D7912yes—
1380#117C22×D7914yes—
1381#117C22×D7918yes—
1382C2×C4⋊C4—791no—
1383C2×C4⋊C4—792no—
1384C2×C4⋊C4—794no—
1385C2×C4⋊C4—792no—
1386C2×C4⋊C4—792no—
1387C2×C4⋊C4—794no—
1388C2×C4⋊C4—794no—
1389C2×C4⋊C4—792no—
1390C2×C4⋊C4—792no—
1391C2×C4⋊C4—794no—
1392C2×C4⋊C4—794no—
1393C2×C4⋊C4—792no—
1394C2×C4⋊C4—792no—
1395C2×C4⋊C4C22×D7911yescharacteristic
1396C2×C4⋊C4C22×D7912yes—
1397C2×C4⋊C4C22×D7914yes—
1398C2×C22⋊C4—792no—
1399C2×C22⋊C4—792no—
1400C2×C22⋊C4—792no—
1401C2×C22⋊C4—798no—
1402C2×C22⋊C4—794no—
1403C2×C22⋊C4—798no—
1404C2×C22⋊C4—794no—
1405C2×C22⋊C4—794no—
1406C2×C42—792no—
1407C2×C42—791no—
1408C2×C42—798no—
1409C2×C42—792no—
1410C2×C42—791no—
1411C2×C42—791no—
1412C2×C42—794no—
1413C2×C42—798no—
1414C2×C42—791no—
1415C2×C42—791no—
1416C2×C42—791no—
1417C2×C42—791no—
1418C2×C42—794no—
1419C2×C42—794no—
1420C2×C42—791no—
1421C2×C42—791no—
1422C2×C42—794no—
1423C2×C42—791no—
1424C2×C42—791no—
1425C2×C42—794no—
1426C2×C42C22×D7912yes—
1427C2×C42C22×D7911yescharacteristic
1428C24—791no—
1429C24—794no—
1430C24—792no—
1431#41—28no—
1432#41—31616no—
1433#41—3168no—
1434#41—3168no—
1435#41—15816no—
1436#41—15816no—
1437#41—1588no—
1438#41—1588no—
1439#41—1588no—
1440#41—1588no—
1441#41—1588no—
1442#41—1588no—
1443#41—1588no—
1444C2×Q8—24no—
1445C2×Q8—3164no—
1446C2×Q8—3164no—
1447C2×Q8—794no—
1448C2×Q8—792no—
1449C2×Q8—794no—
1450C2×Q8—794no—
1451C2×Q8—792no—
1452C2×Q8—792no—
1453C2×Q8—1588no—
1454C2×Q8C23×D7912yes—
1455C2×Q8C23×D7912yes—
1456C2×Q8C23×D7912yes—
1457C2×Q8C23×D7912yes—
1458C2×Q8C23×D7912yes—
1459C2×D4—3164no—
1460C2×D4—3164no—
1461C2×D4—798no—
1462C2×D4—798no—
1463C2×D4—794no—
1464C2×D4—794no—
1465C2×D4—794no—
1466C2×D4—794no—
1467C2×D4—794no—
1468C2×D4—798no—
1469C2×D4—798no—
1470C2×D4—792no—
1471C2×D4—794no—
1472C2×D4—794no—
1473C2×D4—794no—
1474C2×D4—792no—
1475C2×D4—792no—
1476C2×D4—792no—
1477C2×D4—792no—
1478C2×D4—1588no—
1479C2×D4—1588no—
1480C2×D4—15816no—
1481C2×D4—1584no—
1482C2×D4C23×D7914yes—
1483C2×D4C23×D7912yes—
1484C2×D4C23×D7912yes—
1485C2×D4C23×D7912yes—
1486C22×C4—3162no—
1487C22×C4—3164no—
1488C22×C4—3162no—
1489C22×C4—3164no—
1490C22×C4—792no—
1491C22×C4—791no—
1492C22×C4—798no—
1493C22×C4—791no—
1494C22×C4—791no—
1495C22×C4—791no—
1496C22×C4—791no—
1497C22×C4—794no—
1498C22×C4—794no—
1499C22×C4—794no—
1500C22×C4—794no—
1501C22×C4—798no—
1502C22×C4—798no—
1503C22×C4—791no—
1504C22×C4—798no—
1505C22×C4—791no—
1506C22×C4—791no—
1507C22×C4—791no—
1508C22×C4—791no—
1509C22×C4—791no—
1510C22×C4—794no—
1511C22×C4—791no—
1512C22×C4—791no—
1513C22×C4—791no—
1514C22×C4—791no—
1515C22×C4—794no—
1516C22×C4—794no—
1517C22×C4—794no—
1518C22×C4—794no—
1519C22×C4—794no—
1520C22×C4—794no—
1521C22×C4—794no—
1522C22×C4—1588no—
1523C22×C4—15816no—
1524C22×C4C23×D7911yescharacteristic
1525C22×C4C23×D7912yes—
1526C22×C4C23×D7914yes—
1527C22×C4C23×D7912yes—
1528C22×C4C23×D7911yescharacteristic
1529C22×C4C23×D7918yes—
1530C22×C4C23×D7911yescharacteristic
1531C4⋊C4—794no—
1532C4⋊C4—794no—
1533C4⋊C4—794no—
1534C4⋊C4—794no—
1535C4⋊C4—794no—
1536C4⋊C4—798no—
1537C4⋊C4—798no—
1538C4⋊C4—794no—
1539C4⋊C4—794no—
1540C4⋊C4—794no—
1541C4⋊C4—794no—
1542C4⋊C4—794no—
1543C4⋊C4—798no—
1544C4⋊C4—798no—
1545C4⋊C4—792no—
1546C4⋊C4—792no—
1547C4⋊C4—792no—
1548C4⋊C4—792no—
1549C4⋊C4—792no—
1550C4⋊C4—792no—
1551C4⋊C4—794no—
1552C4⋊C4—798no—
1553C4⋊C4—794no—
1554C4⋊C4—794no—
1555C4⋊C4—792no—
1556C4⋊C4—794no—
1557C4⋊C4—792no—
1558C4⋊C4C23×D7912yes—
1559C4⋊C4C23×D7912yes—
1560C4⋊C4C23×D7912yes—
1561C4⋊C4C23×D7912yes—
1562C4⋊C4C23×D7912yes—
1563C4⋊C4C23×D7914yes—
1564C4⋊C4C23×D7912yes—
1565C4⋊C4C23×D7914yes—
1566C4⋊C4C23×D7912yes—
1567C4⋊C4C23×D7912yes—
1568C4⋊C4C23×D7914yes—
1569C4⋊C4C23×D7914yes—
1570C4⋊C4C23×D7918yes—
1571C4⋊C4C23×D7918yes—
1572C4⋊C4C23×D7918yes—
1573C22⋊C4—794no—
1574C22⋊C4—794no—
1575C22⋊C4—798no—
1576C22⋊C4—794no—
1577C22⋊C4—794no—
1578C22⋊C4—794no—
1579C22⋊C4—794no—
1580C22⋊C4—794no—
1581C22⋊C4—794no—
1582C22⋊C4—794no—
1583C22⋊C4—798no—
1584C22⋊C4—794no—
1585C22⋊C4—798no—
1586C22⋊C4—794no—
1587C22⋊C4—794no—
1588C22⋊C4—794no—
1589C22⋊C4—794no—
1590C22⋊C4—794no—
1591C22⋊C4—798no—
1592C22⋊C4—798no—
1593C22⋊C4—798no—
1594C22⋊C4—798no—
1595C22⋊C4—798no—
1596C22⋊C4—798no—
1597C22⋊C4C23×D7914yes—
1598C22⋊C4C23×D7918yes—
1599C22⋊C4C23×D7914yes—
1600C22⋊C4C23×D7914yes—
1601C22⋊C4C23×D7918yes—
1602C22⋊C4C23×D7918yes—
1603C42—794no—
1604C42—791no—
1605C42—791no—
1606C42—791no—
1607C42—791no—
1608C42—791no—
1609C42—794no—
1610C42—794no—
1611C42—791no—
1612C42—794no—
1613C42—794no—
1614C42—791no—
1615C42—791no—
1616C42—791no—
1617C42—791no—
1618C42—794no—
1619C42—791no—
1620C42—791no—
1621C42—798no—
1622C42—798no—
1623C42—798no—
1624C42—794no—
1625C42C23×D7914yes—
1626C42C23×D7911yescharacteristic
1627C42C23×D7911yescharacteristic
1628C42C23×D7914yes—
1629C42C23×D7911yescharacteristic
1630C42C23×D7911yescharacteristic
1631C42C23×D7918yes—
1632C42C23×D7914yes—
1633C23—3162no—
1634C23—3161no—
1635C23—3162no—
1636C23—3161no—
1637C23—3164no—
1638C23—3164no—
1639C23—794no—
1640C23—791no—
1641C23—791no—
1642C23—794no—
1643C23—794no—
1644C23—1588no—
1645C23—1584no—
1646C23C24×D7914yes—
1647C23C24×D7911yescharacteristic
1648Q8—24no—
1649Q8—24no—
1650Q8—24no—
1651Q8—24no—
1652Q8—42no—
1653Q8—3162no—
1654Q8—3164no—
1655Q8—1588no—
1656Q8—1588no—
1657Q8—1584no—
1658Q8—1584no—
1659D4—28no—
1660D4—24no—
1661D4—24no—
1662D4—42no—
1663D4—3162no—
1664D4—3168no—
1665D4—3168no—
1666D4—3164no—
1667D4—3168no—
1668D4—3168no—
1669D4—1588no—
1670D4—1588no—
1671D4—1588no—
1672D4—1588no—
1673D4—1588no—
1674D4—1588no—
1675D4—1588no—
1676D4—1584no—
1677D4—1584no—
1678D4—1584no—
1679D4—1584no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—28no—
1683C2×C4—42no—
1684C2×C4—41no—
1685C2×C4—48no—
1686C2×C4—3164no—
1687C2×C4—3161no—
1688C2×C4—3161no—
1689C2×C4—3164no—
1690C2×C4—3161no—
1691C2×C4—3161no—
1692C2×C4—3164no—
1693C2×C4—3164no—
1694C2×C4—3168no—
1695C2×C4—3168no—
1696C2×C4—3162no—
1697C2×C4—3161no—
1698C2×C4—3168no—
1699C2×C4—791no—
1700C2×C4—791no—
1701C2×C4—791no—
1702C2×C4—794no—
1703C2×C4—794no—
1704C2×C4—794no—
1705C2×C4—794no—
1706C2×C4—794no—
1707C2×C4—791no—
1708C2×C4—794no—
1709C2×C4—791no—
1710C2×C4—794no—
1711C2×C4—794no—
1712C2×C4—794no—
1713C2×C4—791no—
1714C2×C4—1582no—
1715C2×C4—1582no—
1716C2×C4—1588no—
1717C2×C4—1588no—
1718C2×C4—1588no—
1719C2×C4—1588no—
1720C2×C4—1588no—
1721C2×C4—1582no—
1722C2×C4—1588no—
1723C2×C4—1582no—
1724C2×C4—1582no—
1725C2×C4—1588no—
1726C2×C4—1588no—
1727C2×C4#41×D7914yes—
1728C2×C4C24×D7914yes—
1729C2×C4C24×D7914yes—
1730C2×C4C24×D7911yescharacteristic
1731C2×C4C24×D7911yescharacteristic
1732C2×C4C24×D7914yes—
1733C2×C4C24×D7914yes—
1734C2×C4C24×D7911yescharacteristic
1735C2×C4C24×D7914yes—
1736C2×C4C24×D7911yescharacteristic
1737C2×C4C24×D7911yescharacteristic
1738C2×C4C24×D7911yescharacteristic
1739C22—21no—
1740C22—21no—
1741C22—24no—
1742C22—24no—
1743C22—24no—
1744C22—3168no—
1745C22—3164no—
1746C22—792no—
1747C22—792no—
1748C22—6328no—
1749C22—1584no—
1750C22—1584no—
1751C22—1584no—
1752C22—1584no—
1753C22—1584no—
1754C22—1584no—
1755C22—1581no—
1756C22—1581no—
1757C22—1581no—
1758C22—1581no—
1759C22C2×#41×D7912yes—
1760C22C25×D7911yescharacteristic
1761C4—24no—
1762C4—24no—
1763C4—24no—
1764C4—24no—
1765C4—21no—
1766C4—21no—
1767C4—21no—
1768C4—24no—
1769C4—792no—
1770C4—792no—
1771C4—792no—
1772C4—1584no—
1773C4—1581no—
1774C4—1584no—
1775C4—1584no—
1776C4—1584no—
1777C4—1581no—
1778C4—1581no—
1779C4C2×#41×D7912yes—
1780C4C2×#41×D7912yes—
1781C4#1909940012yes—
1782C2—22no—
1783C2—44no—
1784C2—3164no—
1785C2—3164no—
1786C2—1582no—
1787C2—1582no—
1788C2C22×#41×D7911yescharacteristic
1789C2#585×D7911yescharacteristic
1790C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3507C2
hypercenter#3507D79
hypocenterC79#62815
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #23777314C2semidirect
2. #23777308C2semidirect
3. #23777304C2semidirect
4. #23777290C2semidirect
5. #23777283C2semidirect
6. #23777273C2semidirect
7. #23777265C2semidirect
8. #23777264C2semidirect
9. #23777254C2semidirect
10. #23777249C2semidirect
11. #23777245C2semidirect
12. #23777235C2semidirect
13. #23777232C2semidirect
14. #23777000C2semidirect
15. #23776996C2semidirect
16. #23776992C2semidirect
17. #23776966C2semidirect
18. #23776961C2semidirect
19. #23776953C2semidirect
20. #23776786C2semidirect
21. #23776732C2semidirect
22. #23776694C2semidirect
23. #533×D79C2semidirect
24. #532×D79C2semidirect
25. #23776600C2semidirect
26. C2×C4×#11929625C2semidirect
27. C79×#3507C2semidirect
30. #19099298C22semidirect
31. #19099298C22semidirect
32. #19099298C22semidirect
33. #19099296C22semidirect
34. #19099295C22semidirect
35. #19099295C22semidirect
36. #19099291C22semidirect
37. #19099288C22semidirect
38. #19099287C22semidirect
39. #19099287C22semidirect
40. #19099286C22semidirect
41. #19099286C22semidirect
42. #19099285C22semidirect
43. #19099285C22semidirect
44. #19099284C22semidirect
45. #19099282C22semidirect
46. #19099279C22semidirect
47. #19099278C22semidirect
48. #19099276C22semidirect
49. #19099273C22semidirect
50. #19099271C22semidirect
51. #19099266C22semidirect
52. #19099266C22semidirect
53. #19099266C22semidirect
54. #19099264C22semidirect
55. #19099264C22semidirect
56. #19099263C22semidirect
57. #19099261C22semidirect
58. #19099259C22semidirect
59. #19099258C22semidirect
60. #19099257C22semidirect
61. #19099257C22semidirect
62. #19099255C22semidirect
63. #19099254C22semidirect
64. #19099254C22semidirect
65. #19099251C22semidirect
66. #19099247C22semidirect
67. #19099245C22semidirect
68. #19099240C22semidirect
69. #19099238C22semidirect
70. #19099238C22semidirect
71. #19099237C22semidirect
72. #19099235C22semidirect
73. #19099234C22semidirect
74. #19099233C22semidirect
75. #19099225C22semidirect
76. #19099223C22semidirect
77. #19099221C22semidirect
78. #19099217C22semidirect
79. #19099216C22semidirect
80. #19099214C22semidirect
81. #19099208C22semidirect
82. #19099206C22semidirect
83. #19099205C22semidirect
84. #19099183C22semidirect
85. #19099179C22semidirect
86. #19099172C22semidirect
87. #19099165C22semidirect
88. #19099160C22semidirect
89. #19099157C22semidirect
90. #19099153C22semidirect
91. #19099150C22semidirect
92. #19099146C22semidirect
93. #19099143C22semidirect
94. #19099143C22semidirect
96. #19099137C22semidirect
97. #19099132C22semidirect
99. #19099127C22semidirect
101. #19099120C22semidirect
102. #19099119C22semidirect
103. #19099119C22semidirect
104. #19099118C22semidirect
105. #19099118C22semidirect
106. #19099117C22semidirect
107. #19099117C22semidirect
108. #19099117C22semidirect
109. #19099116C22semidirect
110. #19099115C22semidirect
111. #19099115C22semidirect
112. #19099114C22semidirect
113. #19099114C22semidirect
115. #19099112C22semidirect
116. #19099112C22semidirect
117. #19099112C22semidirect
118. #19099111C22semidirect
119. #19099110C22semidirect
120. #19099110C22semidirect
121. #19099110C22semidirect
125. C4⋊Q8×D79C22semidirect
126. C4⋊Q8×D79C22semidirect
127. C4⋊Q8×D79C22semidirect
128. #127×D79C22semidirect
129. #19099099C22semidirect
130. #19099098C22semidirect
131. #19099098C22semidirect
132. #19099097C22semidirect
133. #19099096C22semidirect
134. #19099096C22semidirect
135. #19099096C22semidirect
136. #19099092C22semidirect
137. #19099091C22semidirect
138. #19099090C22semidirect
139. #19099090C22semidirect
140. #125×D79C22semidirect
141. #124×D79C22semidirect
144. #19099076C22semidirect
145. #19099073C22semidirect
146. #19099072C22semidirect
147. #19099071C22semidirect
152. #19099046C22semidirect
153. #19099044C22semidirect
154. #19099044C22semidirect
155. #19099043C22semidirect
156. #19099043C22semidirect
157. #19099039C22semidirect
159. #19099035C22semidirect
164. C4×#11929625C22semidirect
165. C4×#11929625C22semidirect
166. C4×#11929625C22semidirect
167. C4×#11929625C22semidirect
168. C4×#11929625C22semidirect
169. C4×#11929625C22semidirect
170. #19099031C22semidirect
171. C4×#11929623C22semidirect
172. C4×#11929623C22semidirect
173. C4×#11929623C22semidirect
174. C2×Q8×Dic79C22semidirect
175. C4×Q8×D79C22semidirect
176. C4×Q8×D79C22semidirect
178. C2×C4×D316C22semidirect
180. C2×#14579123C22semidirect
181. C4×D4×D79C22semidirect
182. C4×D4×D79C22semidirect
184. C2×#14579119C22semidirect
185. C2×#14579119C22semidirect
187. #117×D79C22semidirect
189. C2×C42×D79C22semidirect
190. #559×C79C22semidirect
191. #557×C79C22semidirect
192. #556×C79C22semidirect
193. #556×C79C22semidirect
194. #554×C79C22semidirect
195. #552×C79C22semidirect
196. #539×C79C22semidirect
197. #536×C79C22semidirect
198. #533×C79C22semidirect
200. #529×C79C22semidirect
201. #520×C79C22semidirect
202. C2×C4×Q8×C79C22semidirect
591. C2×C4×D79#41semidirect
904. #3507D79semidirect
923. C79#62815semidirect
932. #559C2×D79semidirect
935. #557C2×D79semidirect
944. #556C2×D79semidirect
945. #556C2×D79semidirect
951. #554C2×D79semidirect
969. #552C2×D79semidirect
992. #539C2×D79semidirect
1000. #536C2×D79semidirect
1016. #533C2×D79semidirect
1046. #529C2×D79semidirect
1064. #520C2×D79semidirect
1085. C2×C4×Q8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237773142
#237773082
#237773042
#237772902
#237772832
#237772732
#237772652
#237772642
#237772542
#237772492
#237772452
#237772352
#237772322
#237770002
#237769962
#237769922
#237769662
#237769612
#237769532
#237767862
#237767322
#237766942
#533×D792
#532×D792
#237766002
C2×C4×#119296252
C79×#35072
#6281579