Finite Group Databasebeta

← #35197216

Subgroups — #35197216

Order 20224.

7254 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777995C214yesmaximal, complemented
2#23777986C214yesmaximal, complemented
3#23777868C214yesmaximal, complemented
4#23777769C214yesmaximal, complemented
5#23777709C218yesmaximal, complemented
6#23777404C214yesmaximal, complemented
7#23777349C214yesmaximal, complemented
8#23777327C218yesmaximal, complemented
9#23777304C214yesmaximal, complemented
10#23777298C211yesmaximal, characteristic, complemented
11#23777281C211yesmaximal, characteristic, complemented
12#23777273C214yesmaximal, complemented
13#23777271C211yesmaximal, characteristic, complemented
14#23777193C211yesmaximal, characteristic, complemented
15#23777190C211yesmaximal, characteristic, complemented
16#23777182C211yesmaximal, characteristic, complemented
17#23777175C211yesmaximal, characteristic, complemented
18#23777059C211yesmaximal, characteristic, complemented
19#23777056C211yesmaximal, characteristic, complemented
20#23777045C211yesmaximal, characteristic, complemented
21#23777043C211yesmaximal, characteristic, complemented
22#23776697C211yesmaximal, characteristic, complemented
23#23776693C211yesmaximal, characteristic, complemented
24C2×#19099112C211yesmaximal, characteristic, complemented
25C79×#3510C211yesmaximal, characteristic, complemented
26C2×#14579209C2211yescharacteristic, complemented
27C2×#14579208C2211yescharacteristic, complemented
28C2×#14579207C2211yescharacteristic
29C2×#14579206C2211yescharacteristic
30C22×#11929625C2211yescharacteristic, complemented
31C22×#11929623C2211yescharacteristic, complemented
32#19099309C2218yescomplemented
33#19099307C2218yescomplemented
34#19099304C2218yescomplemented
35#19099303C2218yescomplemented
36#19099298C2214yescomplemented
37#19099296C2214yescomplemented
38#19099295C2218yescomplemented
39#19099291C2214yescomplemented
40#19099286C2214yescomplemented
41#19099285C2214yescomplemented
42#19099276C2218yescomplemented
43#19099271C2218yescomplemented
44#19099264C2218yescomplemented
45#19099264C2218yescomplemented
46#19099264C2218yescomplemented
47#19099259C2218yescomplemented
48#19099246C2218yescomplemented
49#19099240C2218yescomplemented
50#19099237C2218yescomplemented
51#19099236C2218yescomplemented
52#19099235C2214yescomplemented
53#19099235C2214yescomplemented
54#19099234C2218yescomplemented
55#19099234C2214yescomplemented
56#19099233C2214yescomplemented
57#19099231C2214yescomplemented
58#19099231C2214yescomplemented
59#19099226C2214yescomplemented
60#19099225C2214yescomplemented
61#19099225C2214yescomplemented
62#19099225C2214yescomplemented
63#19099221C2214yescomplemented
64#19099221C2214yescomplemented
65#19099219C2214yescomplemented
66#19099217C2214yescomplemented
67#19099217C2214yescomplemented
68#19099216C2214yescomplemented
69#19099215C2214yescomplemented
70#19099215C2214yescomplemented
71#19099211C2218yescomplemented
72#19099208C2214yescomplemented
73#19099208C2214yescomplemented
74#19099208C2218yescomplemented
75#19099208C2214yescomplemented
76#19099206C2214yescomplemented
77#19099206C2214yescomplemented
78#19099205C2218yescomplemented
79#19099205C2218yescomplemented
80#19099204C2214yescomplemented
81#19099203C2218yescomplemented
82#19099203C2218yescomplemented
83#19099197C2214yescomplemented
84#19099195C2218yes—
85#19099187C2214yescomplemented
86#19099179C2218yescomplemented
87#19099179C2218yescomplemented
88#19099171C2214yescomplemented
89#19099168C2218yescomplemented
90#19099165C2218yescomplemented
91#19099165C2218yescomplemented
92#19099165C2218yescomplemented
93#19099164C2214yescomplemented
94#19099157C2218yescomplemented
95#19099154C2218yescomplemented
96#19099153C2218yescomplemented
97#19099152C2218yescomplemented
98#19099147C2218yescomplemented
99#19099146C2218yescomplemented
100#19099143C2218yescomplemented
101#19099139C2211yescharacteristic
102#19099139C2211yescharacteristic, complemented
103#19099139C2212yescomplemented
104#19099138C2212yescomplemented
105#19099137C2211yescharacteristic
106#19099133C2212yescomplemented
107#19099133C2212yescomplemented
108#19099132C2211yescharacteristic
109#19099132C2211yescharacteristic, complemented
110#19099132C2214yescomplemented
111#19099132C2212yescomplemented
112#19099131C2212yescomplemented
113#19099131C2212yescomplemented
114#19099131C2218yescomplemented
115#19099130C2211yescharacteristic, complemented
116#19099128C2214yescomplemented
117#19099126C2212yescomplemented
118#19099125C2214yescomplemented
119#19099124C2214yescomplemented
120#19099118C2212yescomplemented
121#19099117C2214yescomplemented
122#19099117C2212yescomplemented
123#19099116C2211yescharacteristic, complemented
124#19099114C2212yescomplemented
125#19099113C2211yescharacteristic
126#19099113C2212yescomplemented
127#19099112C2212yescomplemented
128#19099112C2214yescomplemented
129#19099112C2214yescomplemented
130#19099112C2214yescomplemented
131#19099112C2212yescomplemented
132#19099112C2212yescomplemented
133#19099112C2214yescomplemented
134#19099110C2214yescomplemented
135#19099110C2212yescomplemented
136#19099109C2211yescharacteristic
137C2×#14579159C2211yescharacteristic, complemented
138C4⋊Q8×D79C2212yescomplemented
139C2×#14579157C2211yescharacteristic
140#127×D79C2212yescomplemented
141#19099100C2212yescomplemented
142#19099100C2214yescomplemented
143#19099099C2214yescomplemented
144#19099098C2214yescomplemented
145#19099098C2212yescomplemented
146#19099098C2212yescomplemented
147#19099095C2212yescomplemented
148#19099093C2214yescomplemented
149#19099091C2214yescomplemented
150C2×#14579149C2211yescharacteristic, complemented
151C2×#14579149C2212yescomplemented
152#124×D79C2212yescomplemented
153#19099076C2214yescomplemented
154#19099075C2211yescharacteristic
155#19099075C2211yescharacteristic, complemented
156#19099075C2211yescharacteristic, complemented
157#19099075C2214yescomplemented
158#19099072C2214yescomplemented
159#19099070C2211yescharacteristic, complemented
160#19099069C2214yescomplemented
161C2×#14579145C2214yescomplemented
162#123×D79C2214yescomplemented
163C2×#14579134C2214yescomplemented
164#19099043C2218yescomplemented
165#19099040C2211yescharacteristic, complemented
166#19099037C2211yescharacteristic, complemented
167#19099035C2218yescomplemented
168C4×#11929625C2214yescomplemented
169C4×#11929624C2211yescharacteristic, complemented
170C4×#11929624C2214yescomplemented
171#19099031C2211yescharacteristic
172#19099031C2211yescharacteristic, complemented
173C2×(C22⋊D79)⋊C4C2214yescomplemented
174C2×C42×D79C2211yescharacteristic, complemented
175#559×C79C2214yescomplemented
176#556×C79C2214yescomplemented
177#551×C79C2218yescomplemented
178#542×C79C2214yescomplemented
179#536×C79C2211yescharacteristic, complemented
180#535×C79C2211yescharacteristic
181#533×C79C2211yescharacteristic, complemented
182#529×C79C2214yescomplemented
183C2×#124×C79C2211yescharacteristic, complemented
184#519×C79C2211yescharacteristic, complemented
185#518×C79C2211yescharacteristic, complemented
186C4×#41×C79C2211yescharacteristic, complemented
187#14579209—44no—
188#14579208—44no—
189#14579207—44no—
190#14579206—44no—
191C2×#11929625—44no—
192C2×#11929625C2312yes—
193C2×#11929625C2312yes—
194C2×#11929625C2312yes—
195C2×#11929625C2314yes—
196C2×#11929625C2314yes—
197C2×#11929625C2314yes—
198C2×#11929624C2311yescharacteristic
199C2×#11929624C2311yescharacteristic
200C2×#11929624C2311yescharacteristic
201C2×#11929624C2312yes—
202C2×#11929624C2312yes—
203C2×#11929624C2314yes—
204C2×#11929624C2318yes—
205C2×#11929624C2314yes—
206C2×#11929623—44no—
207C2×#11929623C2312yes—
208C2×#11929623C2312yes—
209C2×#11929623C2314yes—
210C2×#11929623C2312yes—
211C2×#11929623C2314yes—
212C2×#11929623C2314yes—
213C22×Dic158C2311yescharacteristic
214C22×Dic158C2312yes—
215C2×Q8×D79C2312yes—
216C2×Q8×D79C2312yes—
217C2×Q8×D79C2312yes—
218C22×D316C2311yescharacteristic
219C22×D316C2312yes—
220C22×D316C2312yes—
221C22×C22⋊D79C2314yes—
222C22×C22⋊D79C2314yes—
223C22×C22⋊D79C2312yes—
224C2×D4×D79C2312yes—
225C2×D4×D79C2312yes—
226C2×D4×D79C2314yes—
227C2×D4×D79C2312yes—
228C2×D4×D79C2318yes—
229C23×Dic79C2312yes—
230C22×C4×D79C2311yescharacteristic
231C22×C4×D79C2312yes—
232C22×C4×D79C2312yes—
233#14579161C2312yes—
234#14579161C2311yescharacteristic
235#14579161C2312yes—
236#14579160C2318yes—
237#14579160C2312yes—
238#14579159C2312yes—
239#14579159C2312yes—
240#14579159C2314yes—
241#14579159C2311yescharacteristic
242#14579159C2312yes—
243#14579158C2318yes—
244#14579158C2312yes—
245#14579158C2312yes—
246#14579158C2311yescharacteristic
247#14579157C2312yes—
248#14579157C2318yes—
249#14579157C2318yes—
250#14579157C2314yes—
251#14579157C2312yes—
252#14579157C2311yescharacteristic
253#14579157C2312yes—
254#14579156C2318yes—
255#14579156C2318yes—
256#14579156C2314yes—
257#14579156C2318yes—
258#14579156C2314yes—
259#14579156C2314yes—
260#14579155C2318yes—
261#14579154C2314yes—
262#14579153C2318yes—
263#14579152C2314yes—
264#14579152C2312yes—
265#14579151C2318yes—
266#14579151C2318yes—
267#14579151C2314yes—
268#14579150C2312yes—
269#14579150C2311yescharacteristic
270#14579150C2314yes—
271#14579150C2318yes—
272#14579149C2312yes—
273#14579149C2312yes—
274#14579149C2312yes—
275#14579149C2312yes—
276#14579149C2318yes—
277#14579149C2318yes—
278#14579149C2314yes—
279#14579149C2312yes—
280#14579149C2311yescharacteristic
281#14579149C2312yes—
282#14579149C2311yescharacteristic
283#14579148C2312yes—
284#14579148C2311yescharacteristic
285#14579147C2318yes—
286#14579147C2318yes—
287#14579147C2318yes—
288#14579147C2314yes—
289#14579146C2318yes—
290#14579146C2314yes—
291#14579146C2318yes—
292#14579146C2318yes—
293#14579146C2314yes—
294#14579146C2318yes—
295#14579146C2318yes—
296#14579146C2314yes—
297#14579145C2314yes—
298#14579145C2318yes—
299#14579145C2314yes—
300#14579145C2318yes—
301#14579145C2318yes—
302#14579145C2318yes—
303#14579145C2312yes—
304#14579145C2312yes—
305#14579145C2312yes—
306#14579144C2314yes—
307#14579144C2318yes—
308#14579143C2318yes—
309#14579143C2318yes—
310#14579143C2318yes—
311#14579143C2318yes—
312#14579143C2314yes—
313#14579142C2312yes—
314#14579141C2314yes—
315#14579141C2318yes—
316#14579141C2314yes—
317#14579141C2318yes—
318#14579141C2312yes—
319#14579141C2312yes—
320#14579141C2312yes—
321#14579139C2318yes—
322#14579139C2314yes—
323#14579139C2318yes—
324#14579138C2318yes—
325#14579138C2318yes—
326#14579138C2318yes—
327#14579138C2314yes—
328#14579137C2314yes—
329#14579137C2318yes—
330#14579137C2312yes—
331#14579137C2314yes—
332#14579136C2318yes—
333#14579136C2318yes—
334#14579136C2318yes—
335#14579136C2318yes—
336#14579136C2318yes—
337#14579136C2314yes—
338#14579136C2314yes—
339#14579136C2312yes—
340#14579136C2312yes—
341#14579136C2312yes—
342#14579136C2314yes—
343#14579135C2318yes—
344#14579135C2318yes—
345#14579135C2318yes—
346#14579135C2318yes—
347#14579135C2314yes—
348#14579134C2318yes—
349#14579134C2318yes—
350#14579134C2318yes—
351#14579134C2318yes—
352#14579134C2318yes—
353#14579134C2318yes—
354#14579134C2318yes—
355#14579134C2318yes—
356#14579134C2314yes—
357#14579134C2318yes—
358#14579134C2318yes—
359#14579134C2318yes—
360#14579134C2318yes—
361#14579134C2318yes—
362#14579133C2318yes—
363#14579133C2318yes—
364#14579133C2318yes—
365#14579133C2314yes—
366#14579132C2314yes—
367#14579132C2312yes—
368#14579131C2318yes—
369#14579131C2318yes—
370#14579131C2318yes—
371#14579131C2318yes—
372#14579131C2318yes—
373#14579131C2314yes—
374#14579131C2314yes—
375#14579131C2312yes—
376#14579131C2312yes—
377#14579131C2312yes—
378#14579130C2314yes—
379#14579129C2318yes—
380#14579129C2312yes—
381Q8×Dic79C2314yes—
382C4×Dic158C2314yes—
383C4×Dic158C2314yes—
384C4×Dic158C2318yes—
385C4×Dic158C2312yes—
386C4×Dic158C2314yes—
387#14579126C2314yes—
388#14579126C2312yes—
389#14579126C2312yes—
390C4×D316C2318yes—
391C4×D316C2314yes—
392C4×D316C2318yes—
393C4×D316C2314yes—
394C4×D316C2318yes—
395C4×D316C2312yes—
396C4×D316C2314yes—
397C4×D316C2314yes—
398C4×D316C2314yes—
399C4×D316C2314yes—
400D4×Dic79C2318yes—
401#14579123C2318yes—
402#14579123C2314yes—
403#14579123C2312yes—
404#14579123C2314yes—
405#14579123C2314yes—
406#14579123C2312yes—
407#14579123C2314yes—
408C4×C22⋊D79C2314yes—
409C4×C22⋊D79C2314yes—
410C4×C22⋊D79C2318yes—
411C4×C22⋊D79C2314yes—
412C4×C22⋊D79C2314yes—
413C4×C22⋊D79C2314yes—
414(C22⋊D79)⋊C4C2318yes—
415(C22⋊D79)⋊C4C2318yes—
416(C22⋊D79)⋊C4C2318yes—
417(C22⋊D79)⋊C4C2318yes—
418(C22⋊D79)⋊C4C2318yes—
419(C22⋊D79)⋊C4C2318yes—
420(C22⋊D79)⋊C4C2314yes—
421(C22⋊D79)⋊C4C2314yes—
422(C22⋊D79)⋊C4C2318yes—
423(C22⋊D79)⋊C4C2318yes—
424#14579120C2311yescharacteristic
425#14579120C2314yes—
426#14579119C2314yes—
427#14579119C2314yes—
428#14579119C2318yes—
429#14579119C2314yes—
430#14579118C2312yes—
431#14579118C2312yes—
432#14579118C2312yes—
433#14579118C2314yes—
434#14579118C2318yes—
435#14579118C2314yes—
436#14579117C2314yes—
437C2×C4⋊Dic79C2318yes—
438C2×Dic79⋊C4C2314yes—
439C4⋊C4×D79C2318yes—
440C4⋊C4×D79C2318yes—
441C2×(C2×D79)⋊C4C2318yes—
442C2×(C2×D79)⋊C4C2318yes—
443C2×(C2×D79)⋊C4C2314yes—
444C22⋊C4×D79C2318yes—
445C22⋊C4×D79C2318yes—
446C22⋊C4×D79C2314yes—
447C2×C4×Dic79C2312yes—
448C2×C4×Dic79C2311yescharacteristic
449C42×D79C2312yes—
450C42×D79C2312yes—
451C42×D79C2312yes—
452C42×D79C2312yes—
453C42×D79C2312yes—
454C42×D79C2312yes—
455C42×D79C2312yes—
456C2×#41×C79C2311yescharacteristic
457C22×Q8×C79C2311yescharacteristic
458C22×D4×C79C2311yescharacteristic
459C4⋊Q8×C79C2312yes—
460C4⋊Q8×C79C2312yes—
461#127×C79C2312yes—
462#126×C79C2318yes—
463#126×C79C2318yes—
464#125×C79C2312yes—
465#124×C79C2318yes—
466#124×C79C2312yes—
467#124×C79C2314yes—
468#124×C79C2312yes—
469#124×C79C2312yes—
470#124×C79C2312yes—
471#123×C79C2318yes—
472#123×C79C2318yes—
473#123×C79C2314yes—
474C22⋊Q8×C79C2318yes—
475C22⋊Q8×C79C2314yes—
476C22⋊Q8×C79C2314yes—
477#121×C79C2314yes—
478#120×C79C2314yes—
479C4×Q8×C79C2314yes—
480C4×Q8×C79C2312yes—
481C4×Q8×C79C2314yes—
482C4×Q8×C79C2314yes—
483C4×D4×C79C2318yes—
484C4×D4×C79C2314yes—
485C4×D4×C79C2314yes—
486C4×D4×C79C2312yes—
487C4×D4×C79C2314yes—
488#117×C79C2311yescharacteristic
489#117×C79C2312yes—
490#117×C79C2311yescharacteristic
491#117×C79C2318yes—
492#117×C79C2314yes—
493#117×C79C2311yescharacteristic
494C2×C22⋊C4×C79C2314yes—
495C2×C22⋊C4×C79C2314yes—
496C2×C42×C79C2311yescharacteristic
497C2×C42×C79C2312yes—
498C23×D79C2412yes—
499C23×D79C2411yescharacteristic
500C23×D79C2414yes—
501C23×D79C2414yes—
502#11929625—48no—
503#11929625—48no—
504#11929625—44no—
505#11929625—44no—
506#11929625—44no—
507#11929625—48no—
508#11929624—24no—
509#11929624—24no—
510#11929624—24no—
511#11929624—48no—
512#11929624—48no—
513#11929624—416no—
514#11929624—44no—
515#11929624—44no—
516#11929623—48no—
517#11929623—48no—
518#11929623—48no—
519#11929623—44no—
520#11929623—44no—
521#11929623—44no—
522C2×Dic158—24no—
523C2×Dic158—44no—
524C2×Dic158C2411yescharacteristic
525C2×Dic158C2411yescharacteristic
526C2×Dic158C2412yes—
527C2×Dic158C2412yes—
528C2×Dic158C2411yescharacteristic
529C2×Dic158C2414yes—
530C2×Dic158C2414yes—
531C2×Dic158C2414yes—
532Q8×D79—44no—
533Q8×D79—44no—
534Q8×D79—44no—
535C2×D316—24no—
536C2×D316—44no—
537C2×D316—44no—
538C2×D316C2411yescharacteristic
539C2×D316C2412yes—
540C2×D316C2411yescharacteristic
541C2×D316C2411yescharacteristic
542C2×D316C2412yes—
543C2×D316C2414yes—
544C2×D316C2414yes—
545C2×D316C2418yes—
546C2×D316C2418yes—
547C2×D316C2414yes—
548C2×D316C2414yes—
549C2×D316C2414yes—
550C2×D316C2414yes—
551C2×D316C2418yes—
552C2×C22⋊D79—48no—
553C2×C22⋊D79—48no—
554C2×C22⋊D79—44no—
555C2×C22⋊D79C2412yes—
556C2×C22⋊D79C2412yes—
557C2×C22⋊D79C2418yes—
558C2×C22⋊D79C2414yes—
559C2×C22⋊D79C2412yes—
560C2×C22⋊D79C2414yes—
561C2×C22⋊D79C2418yes—
562C2×C22⋊D79C2414yes—
563C2×C22⋊D79C2414yes—
564C2×C22⋊D79C2418yes—
565C2×C22⋊D79C2414yes—
566C2×C22⋊D79C2414yes—
567C2×C22⋊D79C2418yes—
568D4×D79—416no—
569D4×D79—48no—
570D4×D79—44no—
571D4×D79—44no—
572D4×D79—44no—
573C22×Dic79—44no—
574C22×Dic79C2412yes—
575C22×Dic79C2412yes—
576C22×Dic79C2411yescharacteristic
577C22×Dic79C2414yes—
578C22×Dic79C2418yes—
579C22×Dic79C2414yes—
580C2×C4×D79—24no—
581C2×C4×D79—44no—
582C2×C4×D79—44no—
583C2×C4×D79C2412yes—
584C2×C4×D79C2412yes—
585C2×C4×D79C2412yes—
586C2×C4×D79C2412yes—
587C2×C4×D79C2412yes—
588C2×C4×D79C2414yes—
589C2×C4×D79C2412yes—
590C2×C4×D79C2412yes—
591C2×C4×D79C2414yes—
592C2×C4×D79C2414yes—
593C2×C4×D79C2414yes—
594C2×C4×D79C2414yes—
595C2×C4×D79C2414yes—
596C2×C4×D79C2414yes—
597C2×C4×D79C2418yes—
598C2×C4×D79C2418yes—
599C2×C4×D79C2412yes—
600C2×C4×D79C2412yes—
601C4⋊Dic79C2414yes—
602C4⋊Dic79C2418yes—
603C4⋊Dic79C2414yes—
604C4⋊Dic79C2418yes—
605C4⋊Dic79C2414yes—
606C4⋊Dic79C2414yes—
607C4⋊Dic79C2412yes—
608C4⋊Dic79C2414yes—
609Dic79⋊C4C2414yes—
610Dic79⋊C4C2414yes—
611Dic79⋊C4C2418yes—
612Dic79⋊C4C2418yes—
613Dic79⋊C4C2418yes—
614Dic79⋊C4C2418yes—
615Dic79⋊C4C2414yes—
616Dic79⋊C4C2414yes—
617Dic79⋊C4C2414yes—
618Dic79⋊C4C2414yes—
619Dic79⋊C4C2414yes—
620C22⋊Dic79C2412yes—
621C22⋊Dic79C2414yes—
622C22⋊Dic79C2418yes—
623C22⋊Dic79C2414yes—
624(C2×D79)⋊C4C2414yes—
625(C2×D79)⋊C4C2414yes—
626(C2×D79)⋊C4C2418yes—
627(C2×D79)⋊C4C2418yes—
628(C2×D79)⋊C4C2414yes—
629(C2×D79)⋊C4C2418yes—
630(C2×D79)⋊C4C2418yes—
631(C2×D79)⋊C4C2418yes—
632(C2×D79)⋊C4C2418yes—
633(C2×D79)⋊C4C2418yes—
634(C2×D79)⋊C4C2414yes—
635(C2×D79)⋊C4C2414yes—
636(C2×D79)⋊C4C2414yes—
637(C2×D79)⋊C4C2414yes—
638(C2×D79)⋊C4C2414yes—
639(C2×D79)⋊C4C2414yes—
640(C2×D79)⋊C4C2414yes—
641(C2×D79)⋊C4C2414yes—
642(C2×D79)⋊C4C2418yes—
643(C2×D79)⋊C4C2414yes—
644(C2×D79)⋊C4C2414yes—
645C4×Dic79C2411yescharacteristic
646C4×Dic79C2411yescharacteristic
647C4×Dic79C2412yes—
648C4×Dic79C2412yes—
649C4×Dic79C2412yes—
650C4×Dic79C2412yes—
651C4×Dic79C2412yes—
652C4×Dic79C2414yes—
653C4×Dic79C2412yes—
654C4×Dic79C2414yes—
655C4×Dic79C2414yes—
656C4×Dic79C2418yes—
657C24×C79C2412yes—
658#41×C79—24no—
659C2×Q8×C79—24no—
660C2×Q8×C79C2411yescharacteristic
661C2×Q8×C79C2412yes—
662C2×Q8×C79C2412yes—
663C2×Q8×C79C2414yes—
664C2×D4×C79—24no—
665C2×D4×C79C2412yes—
666C2×D4×C79C2412yes—
667C2×D4×C79C2412yes—
668C2×D4×C79C2411yescharacteristic
669C2×D4×C79C2418yes—
670C22×C4×C79C2412yes—
671C22×C4×C79C2412yes—
672C22×C4×C79C2414yes—
673C22×C4×C79C2418yes—
674C22×C4×C79C2412yes—
675C22×C4×C79C2411yescharacteristic
676C4⋊C4×C79C2414yes—
677C4⋊C4×C79C2412yes—
678C4⋊C4×C79C2412yes—
679C4⋊C4×C79C2414yes—
680C4⋊C4×C79C2412yes—
681C4⋊C4×C79C2418yes—
682C4⋊C4×C79C2418yes—
683C4⋊C4×C79C2414yes—
684C4⋊C4×C79C2414yes—
685C22⋊C4×C79C2412yes—
686C22⋊C4×C79C2412yes—
687C22⋊C4×C79C2418yes—
688C22⋊C4×C79C2418yes—
689C22⋊C4×C79C2418yes—
690C22⋊C4×C79C2412yes—
691C22⋊C4×C79C2414yes—
692C22⋊C4×C79C2418yes—
693C22⋊C4×C79C2418yes—
694C42×C79C2411yescharacteristic
695C42×C79C2412yes—
696C42×C79C2414yes—
697C42×C79C2411yescharacteristic
698C42×C79C2412yes—
699C42×C79C2418yes—
700C42×C79C2412yes—
701C42×C79C2412yes—
702C23×C79—24no—
703C23×C79—44no—
704C23×C79C2512yes—
705C23×C79C2514yes—
706C23×C79C2511yescharacteristic
707C22×D79—22no—
708C22×D79—24no—
709C22×D79—42no—
710C22×D79—44no—
711C22×D79—44no—
712C22×D79—44no—
713C22×D79—48no—
714C22×D79—48no—
715C22×D79C2512yes—
716C22×D79C2512yes—
717C22×D79C2514yes—
718C22×D79C2512yes—
719C22×D79C2512yes—
720Q8×C79—22no—
721Q8×C79—24no—
722Q8×C79—24no—
723Q8×C79—44no—
724D4×C79—24no—
725D4×C79—22no—
726D4×C79—24no—
727D4×C79—24no—
728D4×C79—48no—
729C2×C4×C79—24no—
730C2×C4×C79—24no—
731C2×C4×C79—42no—
732C2×C4×C79—44no—
733C2×C4×C79—48no—
734C2×C4×C79H(5,𝔽2)14yes—
735C2×C4×C79C2512yes—
736C2×C4×C79C2514yes—
737C2×C4×C79C2512yes—
738C2×C4×C79C2514yes—
739C2×C4×C79C2514yes—
740C2×C4×C79C2512yes—
741C2×C4×C79C2514yes—
742C2×C4×C79C2511yescharacteristic
743C2×C4×C79C2511yescharacteristic
744C22⋊D79—24no—
745C22⋊D79—24no—
746C22⋊D79—24no—
747C22⋊D79—28no—
748C22⋊D79—216no—
749C22⋊D79—44no—
750C22⋊D79—44no—
751C22⋊D79—44no—
752C22⋊D79—48no—
753C22⋊D79—48no—
754C22⋊D79—44no—
755C22⋊D79—44no—
756C22⋊D79—48no—
757C2×Dic79—22no—
758C2×Dic79—24no—
759C2×Dic79—24no—
760C2×Dic79—48no—
761C2×Dic79—44no—
762C2×Dic79—44no—
763C2×Dic79C2514yes—
764C2×Dic79C2512yes—
765C2×Dic79C2512yes—
766C2×Dic79C2512yes—
767C2×Dic79C2514yes—
768C2×Dic79C2512yes—
769C2×Dic79C2512yes—
770C2×Dic79C2512yes—
771D316—22no—
772D316—22no—
773D316—24no—
774D316—24no—
775D316—22no—
776D316—44no—
777D316—48no—
778D316—48no—
779D316—48no—
780D316—44no—
781D316—44no—
782D316—44no—
783D316—44no—
784D316—44no—
785C4×D79—24no—
786C4×D79—24no—
787C4×D79—24no—
788C4×D79—24no—
789C4×D79—24no—
790C4×D79—24no—
791C4×D79—24no—
792C4×D79—28no—
793C4×D79—28no—
794C4×D79—42no—
795C4×D79—42no—
796C4×D79—48no—
797C4×D79—44no—
798C4×D79—44no—
799C4×D79—44no—
800C4×D79—44no—
801C4×D79—44no—
802C4×D79—48no—
803Dic158—22no—
804Dic158—22no—
805Dic158—24no—
806Dic158—24no—
807Dic158—22no—
808Dic158—28no—
809Dic158—44no—
810Dic158—44no—
811C22×C79—22no—
812C22×C79—22no—
813C22×C79—24no—
814C22×C79—28no—
815C22×C79—24no—
816C22×C79—84no—
817C22×C79C2×H(5,𝔽2)12yes—
818C22×C79C2611yescharacteristic
819C2×D79—22no—
820C2×D79—22no—
821C2×D79—22no—
822C2×D79—22no—
823C2×D79—24no—
824C2×D79—28no—
825C2×D79—24no—
826C2×D79—22no—
827C2×D79—24no—
828C2×D79—24no—
829C2×D79—22no—
830C2×D79—44no—
831C2×D79—84no—
832C2×D79—164no—
833C2×D79—164no—
834C4×C79—22no—
835C4×C79—24no—
836C4×C79—24no—
837C4×C79—22no—
838C4×C79—24no—
839C4×C79—22no—
840C4×C79—24no—
841C4×C79C2×H(5,𝔽2)12yes—
842C4×C79C2×H(5,𝔽2)12yes—
843Dic79—22no—
844Dic79—22no—
845Dic79—22no—
846Dic79—24no—
847Dic79—22no—
848Dic79—22no—
849Dic79—24no—
850Dic79#58514yes—
851#62836—791nomaximal, Sylow
852C2×C79—22no—
853C2×C79—42no—
854C2×C79—44no—
855C2×C79C22×H(5,𝔽2)11yescharacteristic
856C2×C79C2×#58512yes—
857D79—42no—
858D79—42no—
859D79—44no—
860D79—42no—
861D79—42no—
862#3562—794no—
863#3562—794no—
864#3554—794no—
865#3546—794no—
866#3542—798no—
867#3517—794no—
868#3514—794no—
869#3513—798no—
870#3511—794no—
871#3510—791no—
872#3510D7911yescharacteristic, complemented
873#3509—791no—
874#3508—794no—
875#3508—791no—
876#3500—791no—
877#3500—791no—
878#3499—791no—
879#3498—791no—
880#3487—791no—
881#3487—791no—
882#3485—791no—
883#3485—791no—
884#3444—791no—
885#3444—791no—
886C2×#532—791no—
887C79#6283611yescharacteristic, complemented, Sylow
888C2×2−1+4—791no—
889C2×2−1+4—791no—
890C2×H(5,𝔽2)—791no—
891C2×H(5,𝔽2)—791no—
892C22×#41—791no—
893C22×#41—791no—
894#562—798no—
895#562—798no—
896#560—798no—
897#560—798no—
898#559—798no—
899#559—794no—
900#559—794no—
901#559C2×D7914yescomplemented
902#557—794no—
903#556—794no—
904#556—794no—
905#556C2×D7914yescomplemented
906#555—798no—
907#554—798no—
908#553—798no—
909#553—798no—
910#553—798no—
911#553—798no—
912#552—798no—
913#551—798no—
914#551—798no—
915#551—798no—
916#551C2×D7918yescomplemented
917#550—794no—
918#550—794no—
919#550—794no—
920#550—794no—
921#550—794no—
922#550—798no—
923#550—794no—
924D4×Q8—794no—
925#548—794no—
926#548—794no—
927#548—794no—
928#548—794no—
929#548—794no—
930#548—794no—
931#547—794no—
932#547—798no—
933#547—794no—
934#547—794no—
935#547—794no—
936#547—794no—
937#546—794no—
938#546—794no—
939#546—798no—
940#546—798no—
941#546—794no—
942#546—794no—
943#546—794no—
944#546—794no—
945#546—798no—
946#546—798no—
947#546—798no—
948D42—794no—
949D42—798no—
950#542—794no—
951#542—798no—
952#542—798no—
953#542C2×D7914yescomplemented
954#541—794no—
955#540—798no—
956#540—798no—
957#540—798no—
958#540—794no—
959#540—798no—
960#539—798no—
961#539—798no—
962#538—798no—
963#538—798no—
964#538—798no—
965#538—798no—
966#537—798no—
967#536—791no—
968#536—792no—
969#536—792no—
970#536—792no—
971#536—791no—
972#536—791no—
973#536—792no—
974#536C2×D7911yescharacteristic, complemented
975#535—791no—
976#535—792no—
977#535—792no—
978#535—792no—
979#535—798no—
980#535—794no—
981#535—791no—
982#535—791no—
983#535—794no—
984#535—792no—
985#535C2×D7911yescharacteristic
986#534—794no—
987#534—794no—
988#533—792no—
989#533—792no—
990#533—794no—
991#533—791no—
992#533C2×D7911yescharacteristic, complemented
993#532—791no—
994#532—792no—
995#532—794no—
996#532—794no—
997#532—794no—
998#532—794no—
999#532—792no—
1000#532—792no—
1001#532—792no—
1002#532—792no—
1003#532—794no—
1004#532—791no—
1005#532—792no—
1006C2×C4⋊Q8—791no—
1007C2×C4⋊Q8—792no—
1008C2×#127—791no—
1009C2×#127—792no—
1010#529—792no—
1011#529—792no—
1012#529—794no—
1013#529—794no—
1014#529—794no—
1015#529—792no—
1016#529—794no—
1017#529—792no—
1018#529—794no—
1019#529C2×D7914yescomplemented
1020C2×#124—792no—
1021C2×#124—791no—
1022C2×#124—792no—
1023C2×#124C2×D7911yescharacteristic, complemented
1024#525—791no—
1025#525—794no—
1026#525—794no—
1027#525—794no—
1028#525—791no—
1029#525—791no—
1030#525—791no—
1031#525—794no—
1032C2×#123—794no—
1033C2×#123—794no—
1034C2×#121—794no—
1035#520—798no—
1036#519—791no—
1037#519C2×D7911yescharacteristic, complemented
1038#518—798no—
1039#518—791no—
1040#518C2×D7911yescharacteristic, complemented
1041C4×#41—794no—
1042C4×#41—791no—
1043C4×#41—791no—
1044C4×#41—791no—
1045C4×#41—794no—
1046C4×#41C2×D7911yescharacteristic, complemented
1047C2×C4×D4—794no—
1048C22×C42—791no—
10492−1+4—3164no—
10502−1+4—3164no—
1051H(5,𝔽2)—3164no—
1052H(5,𝔽2)—3164no—
1053C2×#41—3164no—
1054C2×#41—3164no—
1055C2×#41—794no—
1056C2×#41—794no—
1057C2×#41—794no—
1058C2×#41—792no—
1059C2×#41—792no—
1060C2×#41—792no—
1061C2×#41—794no—
1062C2×#41—794no—
1063C2×#41—794no—
1064C2×#41—792no—
1065C2×#41—792no—
1066C2×#41—792no—
1067C2×#41—794no—
1068C2×#41—798no—
1069C2×#41—794no—
1070C2×#41—792no—
1071C2×#41—792no—
1072C2×#41—791no—
1073C2×#41—791no—
1074C2×#41—791no—
1075C2×#41C22×D7911yescharacteristic
1076C22×Q8—792no—
1077C22×Q8—792no—
1078C22×Q8—792no—
1079C22×Q8—792no—
1080C22×Q8—791no—
1081C22×Q8C22×D7911yescharacteristic
1082C22×D4—794no—
1083C22×D4—792no—
1084C22×D4—794no—
1085C22×D4—798no—
1086C22×D4—794no—
1087C22×D4—792no—
1088C22×D4—792no—
1089C22×D4—792no—
1090C22×D4—792no—
1091C22×D4—792no—
1092C22×D4—791no—
1093C22×D4C22×D7911yescharacteristic
1094C23×C4—792no—
1095C23×C4—792no—
1096C23×C4—792no—
1097C23×C4—791no—
1098C4⋊Q8—791no—
1099C4⋊Q8—792no—
1100C4⋊Q8—792no—
1101C4⋊Q8—794no—
1102C4⋊Q8—792no—
1103C4⋊Q8—798no—
1104C4⋊Q8—792no—
1105C4⋊Q8—792no—
1106C4⋊Q8—791no—
1107C4⋊Q8—792no—
1108C4⋊Q8C22×D7912yes—
1109C4⋊Q8C22×D7912yes—
1110#127—791no—
1111#127—792no—
1112#127—792no—
1113#127—794no—
1114#127—798no—
1115#127—792no—
1116#127—798no—
1117#127—792no—
1118#127—791no—
1119#127—792no—
1120#127—798no—
1121#127C22×D7912yes—
1122#126—794no—
1123#126—794no—
1124#126—794no—
1125#126—798no—
1126#126—798no—
1127#126—798no—
1128#126—794no—
1129#126—798no—
1130#126C22×D7918yes—
1131#126C22×D7918yes—
1132#125—794no—
1133#125—792no—
1134#125—794no—
1135#125—798no—
1136#125—798no—
1137#125—798no—
1138#125C22×D7912yes—
1139#124—792no—
1140#124—791no—
1141#124—794no—
1142#124—798no—
1143#124—792no—
1144#124—791no—
1145#124—798no—
1146#124—794no—
1147#124—798no—
1148#124—798no—
1149#124—791no—
1150#124—792no—
1151#124—792no—
1152#124—794no—
1153#124—792no—
1154#124—792no—
1155#124—798no—
1156#124—791no—
1157#124—792no—
1158#124—792no—
1159#124—798no—
1160#124C22×D7912yes—
1161#124C22×D7912yes—
1162#124C22×D7914yes—
1163#124C22×D7912yes—
1164#124C22×D7912yes—
1165#124C22×D7918yes—
1166#123—792no—
1167#123—794no—
1168#123—798no—
1169#123—798no—
1170#123—794no—
1171#123—794no—
1172#123—794no—
1173#123—798no—
1174#123—798no—
1175#123—798no—
1176#123—798no—
1177#123—792no—
1178#123—792no—
1179#123—794no—
1180#123—794no—
1181#123—798no—
1182#123—798no—
1183#123—798no—
1184#123—792no—
1185#123—794no—
1186#123—798no—
1187#123—798no—
1188#123—798no—
1189#123—798no—
1190#123—798no—
1191#123C22×D7914yes—
1192#123C22×D7918yes—
1193#123C22×D7918yes—
1194C22⋊Q8—792no—
1195C22⋊Q8—794no—
1196C22⋊Q8—794no—
1197C22⋊Q8—798no—
1198C22⋊Q8—794no—
1199C22⋊Q8—792no—
1200C22⋊Q8—792no—
1201C22⋊Q8—792no—
1202C22⋊Q8—798no—
1203C22⋊Q8—794no—
1204C22⋊Q8—794no—
1205C22⋊Q8—798no—
1206C22⋊Q8—798no—
1207C22⋊Q8—798no—
1208C22⋊Q8—794no—
1209C22⋊Q8—798no—
1210C22⋊Q8—798no—
1211C22⋊Q8—798no—
1212C22⋊Q8C22×D7914yes—
1213C22⋊Q8C22×D7914yes—
1214C22⋊Q8C22×D7918yes—
1215#121—794no—
1216#121—792no—
1217#121—798no—
1218#121—794no—
1219#121—798no—
1220#121—798no—
1221#121—794no—
1222#121—798no—
1223#121—798no—
1224#121—798no—
1225#121—798no—
1226#121—792no—
1227#121—792no—
1228#121—792no—
1229#121—794no—
1230#121—798no—
1231#121—794no—
1232#121—794no—
1233#121—798no—
1234#121—798no—
1235#121—798no—
1236#121—798no—
1237#121—798no—
1238#121—798no—
1239#121—798no—
1240#121—798no—
1241#121—794no—
1242#121—798no—
1243#121—798no—
1244#121—798no—
1245#121—798no—
1246#121—798no—
1247#121—798no—
1248#121—798no—
1249#121—798no—
1250#121—798no—
1251#121C22×D7914yes—
1252#120—794no—
1253#120—792no—
1254#120—798no—
1255#120—792no—
1256#120—792no—
1257#120—792no—
1258#120—794no—
1259#120—794no—
1260#120—798no—
1261#120—798no—
1262#120—798no—
1263#120—798no—
1264#120—798no—
1265#120C22×D7914yes—
1266C4×Q8—794no—
1267C4×Q8—792no—
1268C4×Q8—792no—
1269C4×Q8—794no—
1270C4×Q8—794no—
1271C4×Q8—792no—
1272C4×Q8—794no—
1273C4×Q8—794no—
1274C4×Q8—798no—
1275C4×Q8C22×D7914yes—
1276C4×Q8C22×D7912yes—
1277C4×Q8C22×D7914yes—
1278C4×Q8C22×D7914yes—
1279C4×D4—798no—
1280C4×D4—794no—
1281C4×D4—794no—
1282C4×D4—794no—
1283C4×D4—794no—
1284C4×D4—794no—
1285C4×D4—798no—
1286C4×D4—794no—
1287C4×D4—794no—
1288C4×D4—792no—
1289C4×D4—794no—
1290C4×D4—792no—
1291C4×D4—798no—
1292C4×D4—794no—
1293C4×D4—798no—
1294C4×D4—798no—
1295C4×D4—798no—
1296C4×D4—798no—
1297C4×D4—794no—
1298C4×D4—794no—
1299C4×D4—798no—
1300C4×D4—798no—
1301C4×D4—798no—
1302C4×D4—798no—
1303C4×D4—794no—
1304C4×D4—794no—
1305C4×D4—794no—
1306C4×D4—794no—
1307C4×D4—794no—
1308C4×D4—792no—
1309C4×D4—798no—
1310C4×D4—794no—
1311C4×D4—798no—
1312C4×D4—798no—
1313C4×D4C22×D7914yes—
1314C4×D4C22×D7912yes—
1315C4×D4C22×D7918yes—
1316C4×D4C22×D7914yes—
1317C4×D4C22×D7914yes—
1318#117—791no—
1319#117—794no—
1320#117—794no—
1321#117—794no—
1322#117—794no—
1323#117—798no—
1324#117—794no—
1325#117—794no—
1326#117—792no—
1327#117—792no—
1328#117—792no—
1329#117—794no—
1330#117—798no—
1331#117C22×D7911yescharacteristic
1332#117C22×D7911yescharacteristic
1333#117C22×D7911yescharacteristic
1334#117C22×D7912yes—
1335#117C22×D7914yes—
1336#117C22×D7918yes—
1337C2×C4⋊C4—794no—
1338C2×C4⋊C4—798no—
1339C2×C4⋊C4—798no—
1340C2×C4⋊C4—798no—
1341C2×C22⋊C4—794no—
1342C2×C22⋊C4—798no—
1343C2×C22⋊C4—798no—
1344C2×C22⋊C4—794no—
1345C2×C22⋊C4—798no—
1346C2×C22⋊C4—798no—
1347C2×C22⋊C4C22×D7914yes—
1348C2×C22⋊C4C22×D7914yes—
1349C2×C42—792no—
1350C2×C42—791no—
1351C2×C42—792no—
1352C2×C42—792no—
1353C2×C42—792no—
1354C2×C42—792no—
1355C2×C42—792no—
1356C2×C42—792no—
1357C2×C42—792no—
1358C2×C42C22×D7912yes—
1359C2×C42C22×D7911yescharacteristic
1360C24—794no—
1361C24—794no—
1362C24—792no—
1363C24—791no—
1364C24C23×D7912yes—
1365#41—24no—
1366#41—3164no—
1367#41—3164no—
1368#41—3168no—
1369#41—3168no—
1370#41—31616no—
1371#41—3168no—
1372#41—3168no—
1373#41—3164no—
1374#41—3164no—
1375#41—3164no—
1376#41—3168no—
1377#41—3168no—
1378#41—3168no—
1379#41—3164no—
1380#41—3164no—
1381#41—3164no—
1382#41—3168no—
1383#41—1584no—
1384#41—1584no—
1385#41—1584no—
1386C2×Q8—24no—
1387C2×Q8—3164no—
1388C2×Q8—3164no—
1389C2×Q8—3164no—
1390C2×Q8—3164no—
1391C2×Q8—794no—
1392C2×Q8—794no—
1393C2×Q8—794no—
1394C2×Q8—791no—
1395C2×Q8—792no—
1396C2×Q8—791no—
1397C2×Q8—792no—
1398C2×Q8—791no—
1399C2×Q8—1584no—
1400C2×Q8C23×D7911yescharacteristic
1401C2×Q8C23×D7912yes—
1402C2×Q8C23×D7912yes—
1403C2×Q8C23×D7914yes—
1404C2×D4—24no—
1405C2×D4—3164no—
1406C2×D4—3164no—
1407C2×D4—3168no—
1408C2×D4—3168no—
1409C2×D4—3164no—
1410C2×D4—3164no—
1411C2×D4—3164no—
1412C2×D4—31616no—
1413C2×D4—3164no—
1414C2×D4—3168no—
1415C2×D4—794no—
1416C2×D4—798no—
1417C2×D4—798no—
1418C2×D4—794no—
1419C2×D4—794no—
1420C2×D4—798no—
1421C2×D4—794no—
1422C2×D4—794no—
1423C2×D4—794no—
1424C2×D4—798no—
1425C2×D4—792no—
1426C2×D4—792no—
1427C2×D4—792no—
1428C2×D4—794no—
1429C2×D4—794no—
1430C2×D4—794no—
1431C2×D4—798no—
1432C2×D4—798no—
1433C2×D4—794no—
1434C2×D4—794no—
1435C2×D4—794no—
1436C2×D4—798no—
1437C2×D4—791no—
1438C2×D4—792no—
1439C2×D4—791no—
1440C2×D4—792no—
1441C2×D4—791no—
1442C2×D4—1584no—
1443C2×D4C23×D7912yes—
1444C2×D4C23×D7911yescharacteristic
1445C2×D4C23×D7912yes—
1446C2×D4C23×D7912yes—
1447C2×D4C23×D7918yes—
1448C22×C4—3164no—
1449C22×C4—3164no—
1450C22×C4—3164no—
1451C22×C4—794no—
1452C22×C4—798no—
1453C22×C4—794no—
1454C22×C4—792no—
1455C22×C4—792no—
1456C22×C4—794no—
1457C22×C4—798no—
1458C22×C4—794no—
1459C22×C4—798no—
1460C22×C4—794no—
1461C22×C4—794no—
1462C22×C4—794no—
1463C22×C4—792no—
1464C22×C4—791no—
1465C22×C4—792no—
1466C22×C4—792no—
1467C22×C4—792no—
1468C22×C4—792no—
1469C22×C4—792no—
1470C22×C4—794no—
1471C22×C4—794no—
1472C22×C4—792no—
1473C22×C4—792no—
1474C22×C4—792no—
1475C22×C4—1584no—
1476C22×C4C23×D7912yes—
1477C22×C4C23×D7912yes—
1478C22×C4C23×D7912yes—
1479C22×C4C23×D7914yes—
1480C22×C4C23×D7918yes—
1481C22×C4C23×D7911yescharacteristic
1482C4⋊C4—794no—
1483C4⋊C4—798no—
1484C4⋊C4—794no—
1485C4⋊C4—798no—
1486C4⋊C4—798no—
1487C4⋊C4—794no—
1488C4⋊C4—794no—
1489C4⋊C4—794no—
1490C4⋊C4—794no—
1491C4⋊C4—794no—
1492C4⋊C4—798no—
1493C4⋊C4—794no—
1494C4⋊C4—794no—
1495C4⋊C4—798no—
1496C4⋊C4—798no—
1497C4⋊C4—794no—
1498C4⋊C4—792no—
1499C4⋊C4—794no—
1500C4⋊C4—794no—
1501C4⋊C4C23×D7918yes—
1502C4⋊C4C23×D7914yes—
1503C4⋊C4C23×D7914yes—
1504C4⋊C4C23×D7914yes—
1505C4⋊C4C23×D7912yes—
1506C4⋊C4C23×D7912yes—
1507C4⋊C4C23×D7912yes—
1508C4⋊C4C23×D7914yes—
1509C4⋊C4C23×D7918yes—
1510C22⋊C4—792no—
1511C22⋊C4—794no—
1512C22⋊C4—798no—
1513C22⋊C4—794no—
1514C22⋊C4—794no—
1515C22⋊C4—794no—
1516C22⋊C4—794no—
1517C22⋊C4—798no—
1518C22⋊C4—798no—
1519C22⋊C4—798no—
1520C22⋊C4—798no—
1521C22⋊C4—798no—
1522C22⋊C4—798no—
1523C22⋊C4—798no—
1524C22⋊C4—794no—
1525C22⋊C4—794no—
1526C22⋊C4—794no—
1527C22⋊C4—798no—
1528C22⋊C4—794no—
1529C22⋊C4—794no—
1530C22⋊C4—794no—
1531C22⋊C4—794no—
1532C22⋊C4—794no—
1533C22⋊C4—794no—
1534C22⋊C4—794no—
1535C22⋊C4C23×D7912yes—
1536C22⋊C4C23×D7918yes—
1537C22⋊C4C23×D7918yes—
1538C22⋊C4C23×D7912yes—
1539C22⋊C4C23×D7918yes—
1540C22⋊C4C23×D7918yes—
1541C22⋊C4C23×D7912yes—
1542C22⋊C4C23×D7918yes—
1543C22⋊C4C23×D7914yes—
1544C42—791no—
1545C42—792no—
1546C42—792no—
1547C42—791no—
1548C42—792no—
1549C42—792no—
1550C42—792no—
1551C42—794no—
1552C42—794no—
1553C42—792no—
1554C42—794no—
1555C42—798no—
1556C42C23×D7911yescharacteristic
1557C42C23×D7911yescharacteristic
1558C42C23×D7912yes—
1559C42C23×D7912yes—
1560C42C23×D7912yes—
1561C42C23×D7914yes—
1562C42C23×D7912yes—
1563C42C23×D7918yes—
1564C23—24no—
1565C23—44no—
1566C23—3162no—
1567C23—3164no—
1568C23—3164no—
1569C23—3164no—
1570C23—3168no—
1571C23—3168no—
1572C23—792no—
1573C23—794no—
1574C23—792no—
1575C23—792no—
1576C23—792no—
1577C23—1582no—
1578C23—1584no—
1579C23C24×D7912yes—
1580C23C24×D7914yes—
1581C23C24×D7911yescharacteristic
1582Q8—24no—
1583Q8—24no—
1584Q8—22no—
1585Q8—44no—
1586Q8—3164no—
1587Q8—3164no—
1588Q8—1588no—
1589Q8—1582no—
1590Q8—1582no—
1591Q8—1584no—
1592Q8—1584no—
1593Q8—1582no—
1594D4—24no—
1595D4—24no—
1596D4—24no—
1597D4—22no—
1598D4—48no—
1599D4—3164no—
1600D4—3168no—
1601D4—3168no—
1602D4—3164no—
1603D4—3164no—
1604D4—3168no—
1605D4—3164no—
1606D4—3164no—
1607D4—3164no—
1608D4—3164no—
1609D4—3164no—
1610D4—3164no—
1611D4—3168no—
1612D4—3168no—
1613D4—3164no—
1614D4—3168no—
1615D4—3164no—
1616D4—1588no—
1617D4—15816no—
1618D4—1584no—
1619D4—1584no—
1620D4—1584no—
1621D4—1582no—
1622D4—1582no—
1623D4—1584no—
1624D4—1584no—
1625D4—1582no—
1626C2×C4—24no—
1627C2×C4—24no—
1628C2×C4—42no—
1629C2×C4—44no—
1630C2×C4—48no—
1631C2×C4—3168no—
1632C2×C4—3162no—
1633C2×C4—3162no—
1634C2×C4—3164no—
1635C2×C4—3164no—
1636C2×C4—3164no—
1637C2×C4—3164no—
1638C2×C4—3164no—
1639C2×C4—3168no—
1640C2×C4—3168no—
1641C2×C4—3164no—
1642C2×C4—3164no—
1643C2×C4—792no—
1644C2×C4—794no—
1645C2×C4—792no—
1646C2×C4—792no—
1647C2×C4—792no—
1648C2×C4—794no—
1649C2×C4—792no—
1650C2×C4—792no—
1651C2×C4—1584no—
1652C2×C4—1584no—
1653C2×C4—1588no—
1654C2×C4—1588no—
1655C2×C4—1584no—
1656C2×C4—1582no—
1657C2×C4—1584no—
1658C2×C4—1584no—
1659C2×C4—1584no—
1660C2×C4—1584no—
1661C2×C4—1584no—
1662C2×C4—1584no—
1663C2×C4#1457920714yes—
1664C2×C4C24×D7912yes—
1665C2×C4C24×D7914yes—
1666C2×C4C24×D7912yes—
1667C2×C4C24×D7914yes—
1668C2×C4C24×D7914yes—
1669C2×C4C24×D7912yes—
1670C2×C4C24×D7914yes—
1671C2×C4C24×D7911yescharacteristic
1672C2×C4C24×D7911yescharacteristic
1673C22—22no—
1674C22—22no—
1675C22—24no—
1676C22—24no—
1677C22—28no—
1678C22—84no—
1679C22—3164no—
1680C22—6324no—
1681C22—1582no—
1682C22—1584no—
1683C22—1582no—
1684C22—1582no—
1685C22—1582no—
1686C22—1582no—
1687C22—1582no—
1688C22—1588no—
1689C22—1584no—
1690C22—1584no—
1691C22—1584no—
1692C22—12644no—
1693C22—12644no—
1694C22C2×#1457920712yes—
1695C22C25×D7911yescharacteristic
1696C4—22no—
1697C4—24no—
1698C4—22no—
1699C4—24no—
1700C4—24no—
1701C4—22no—
1702C4—24no—
1703C4—794no—
1704C4—1582no—
1705C4—1582no—
1706C4—1584no—
1707C4—1582no—
1708C4—1582no—
1709C4—1584no—
1710C4—1582no—
1711C4C2×#1457920712yes—
1712C4C2×#1457920712yes—
1713C2—22no—
1714C2—44no—
1715C2—42no—
1716C2—3162no—
1717C2—3164no—
1718C2—3162no—
1719C2—3162no—
1720C2—3162no—
1721C2C22×#1457920711yescharacteristic
1722C2#585×D7912yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3510C2
hypercenter#3510D79
hypocenterC79#62836
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3510

Complements

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

NH ≅ G/Ntype
1. #23777995C2semidirect
2. #23777986C2semidirect
3. #23777868C2semidirect
4. #23777769C2semidirect
5. #23777709C2semidirect
6. #23777404C2semidirect
7. #23777349C2semidirect
8. #23777327C2semidirect
9. #23777304C2semidirect
10. #23777298C2semidirect
11. #23777281C2semidirect
12. #23777273C2semidirect
13. #23777271C2semidirect
14. #23777193C2semidirect
15. #23777190C2semidirect
16. #23777182C2semidirect
17. #23777175C2semidirect
18. #23777059C2semidirect
19. #23777056C2semidirect
20. #23777045C2semidirect
21. #23777043C2semidirect
22. #23776697C2semidirect
23. #23776693C2semidirect
24. C2×#19099112C2semidirect
25. C79×#3510C2semidirect
26. C2×#14579209C22semidirect
27. C2×#14579208C22semidirect
30. C22×#11929625C22semidirect
31. C22×#11929623C22semidirect
32. #19099309C22semidirect
33. #19099307C22semidirect
34. #19099304C22semidirect
35. #19099303C22semidirect
36. #19099298C22semidirect
37. #19099296C22semidirect
38. #19099295C22semidirect
39. #19099291C22semidirect
40. #19099286C22semidirect
41. #19099285C22semidirect
42. #19099276C22semidirect
43. #19099271C22semidirect
44. #19099264C22semidirect
45. #19099264C22semidirect
46. #19099264C22semidirect
47. #19099259C22semidirect
48. #19099246C22semidirect
49. #19099240C22semidirect
50. #19099237C22semidirect
51. #19099236C22semidirect
52. #19099235C22semidirect
53. #19099235C22semidirect
54. #19099234C22semidirect
55. #19099234C22semidirect
56. #19099233C22semidirect
57. #19099231C22semidirect
58. #19099231C22semidirect
59. #19099226C22semidirect
60. #19099225C22semidirect
61. #19099225C22semidirect
62. #19099225C22semidirect
63. #19099221C22semidirect
64. #19099221C22semidirect
65. #19099219C22semidirect
66. #19099217C22semidirect
67. #19099217C22semidirect
68. #19099216C22semidirect
69. #19099215C22semidirect
70. #19099215C22semidirect
71. #19099211C22semidirect
72. #19099208C22semidirect
73. #19099208C22semidirect
74. #19099208C22semidirect
75. #19099208C22semidirect
76. #19099206C22semidirect
77. #19099206C22semidirect
78. #19099205C22semidirect
79. #19099205C22semidirect
80. #19099204C22semidirect
81. #19099203C22semidirect
82. #19099203C22semidirect
83. #19099197C22semidirect
85. #19099187C22semidirect
86. #19099179C22semidirect
87. #19099179C22semidirect
88. #19099171C22semidirect
89. #19099168C22semidirect
90. #19099165C22semidirect
91. #19099165C22semidirect
92. #19099165C22semidirect
93. #19099164C22semidirect
94. #19099157C22semidirect
95. #19099154C22semidirect
96. #19099153C22semidirect
97. #19099152C22semidirect
98. #19099147C22semidirect
99. #19099146C22semidirect
100. #19099143C22semidirect
102. #19099139C22semidirect
103. #19099139C22semidirect
104. #19099138C22semidirect
106. #19099133C22semidirect
107. #19099133C22semidirect
109. #19099132C22semidirect
110. #19099132C22semidirect
111. #19099132C22semidirect
112. #19099131C22semidirect
113. #19099131C22semidirect
114. #19099131C22semidirect
115. #19099130C22semidirect
116. #19099128C22semidirect
117. #19099126C22semidirect
118. #19099125C22semidirect
119. #19099124C22semidirect
120. #19099118C22semidirect
121. #19099117C22semidirect
122. #19099117C22semidirect
123. #19099116C22semidirect
124. #19099114C22semidirect
126. #19099113C22semidirect
127. #19099112C22semidirect
128. #19099112C22semidirect
129. #19099112C22semidirect
130. #19099112C22semidirect
131. #19099112C22semidirect
132. #19099112C22semidirect
133. #19099112C22semidirect
134. #19099110C22semidirect
135. #19099110C22semidirect
137. C2×#14579159C22semidirect
138. C4⋊Q8×D79C22semidirect
140. #127×D79C22semidirect
141. #19099100C22semidirect
142. #19099100C22semidirect
143. #19099099C22semidirect
144. #19099098C22semidirect
145. #19099098C22semidirect
146. #19099098C22semidirect
147. #19099095C22semidirect
148. #19099093C22semidirect
149. #19099091C22semidirect
150. C2×#14579149C22semidirect
151. C2×#14579149C22semidirect
152. #124×D79C22semidirect
153. #19099076C22semidirect
155. #19099075C22semidirect
156. #19099075C22semidirect
157. #19099075C22semidirect
158. #19099072C22semidirect
159. #19099070C22semidirect
160. #19099069C22semidirect
161. C2×#14579145C22semidirect
162. #123×D79C22semidirect
163. C2×#14579134C22semidirect
164. #19099043C22semidirect
165. #19099040C22semidirect
166. #19099037C22semidirect
167. #19099035C22semidirect
168. C4×#11929625C22semidirect
169. C4×#11929624C22semidirect
170. C4×#11929624C22semidirect
172. #19099031C22semidirect
173. C2×(C22⋊D79)⋊C4C22semidirect
174. C2×C42×D79C22semidirect
175. #559×C79C22semidirect
176. #556×C79C22semidirect
177. #551×C79C22semidirect
178. #542×C79C22semidirect
179. #536×C79C22semidirect
181. #533×C79C22semidirect
182. #529×C79C22semidirect
183. C2×#124×C79C22semidirect
184. #519×C79C22semidirect
185. #518×C79C22semidirect
186. C4×#41×C79C22semidirect
872. #3510D79semidirect
887. C79#62836semidirect
901. #559C2×D79semidirect
905. #556C2×D79semidirect
916. #551C2×D79semidirect
953. #542C2×D79semidirect
974. #536C2×D79semidirect
992. #533C2×D79semidirect
1019. #529C2×D79semidirect
1023. C2×#124C2×D79semidirect
1037. #519C2×D79semidirect
1040. #518C2×D79semidirect
1046. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779952
#237779862
#237778682
#237777692
#237777092
#237774042
#237773492
#237773272
#237773042
#237772982
#237772812
#237772732
#237772712
#237771932
#237771902
#237771822
#237771752
#237770592
#237770562
#237770452
#237770432
#237766972
#237766932
C2×#190991122
C79×#35102
#6283679