Finite Group Databasebeta

← #35196417

Subgroups — #35196417

Order 20224.

7230 conjugacy classes of subgroups.

The subgroup lattice has 1778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777472C214yesmaximal, complemented
2#23777462C214yesmaximal, complemented
3#23777380C212yesmaximal, complemented
4#23777373C212yesmaximal, complemented
5#23777363C212yesmaximal, complemented
6#23777356C212yesmaximal, complemented
7#23777267C211yesmaximal, characteristic, complemented
8#23777262C211yesmaximal, characteristic, complemented
9#23777228C214yesmaximal, complemented
10#23777201C211yesmaximal, characteristic, complemented
11#23777162C211yesmaximal, characteristic, complemented
12#23777117C212yesmaximal, complemented
13#23777092C214yesmaximal, complemented
14#23777042C212yesmaximal, complemented
15#23777022C212yesmaximal, complemented
16#23777018C212yesmaximal, complemented
17#23777010C212yesmaximal, complemented
18#23777008C212yesmaximal, complemented
19#23776964C214yesmaximal, complemented
20#23776956C214yesmaximal, complemented
21#23776827C212yesmaximal, complemented
22#23776807C214yesmaximal, complemented
23#23776696C211yesmaximal, characteristic, complemented
24#529×D79C214yesmaximal, complemented
25C4×#14579207C212yesmaximal, complemented
26C2×C4×#11929624C211yesmaximal, characteristic, complemented
27C79×#3444C211yesmaximal, characteristic, complemented
28C2×#14579207C2212yes—
29C22×#11929624C2211yescharacteristic
30#19099299C2212yescomplemented
31#19099298C2212yescomplemented
32#19099292C2212yescomplemented
33#19099288C2212yescomplemented
34#19099287C2212yescomplemented
35#19099286C2214yescomplemented
36#19099284C2214yescomplemented
37#19099283C2212yescomplemented
38#19099283C2214yescomplemented
39#19099282C2214yescomplemented
40#19099278C2214yescomplemented
41#19099277C2214yescomplemented
42#19099274C2212yescomplemented
43#19099274C2212yescomplemented
44#19099273C2212yescomplemented
45#19099273C2214yescomplemented
46#19099270C2212yescomplemented
47#19099269C2214yescomplemented
48#19099263C2218yescomplemented
49#19099260C2214yescomplemented
50#19099260C2214yescomplemented
51#19099259C2214yescomplemented
52#19099258C2218yescomplemented
53#19099257C2214yescomplemented
54#19099254C2218yescomplemented
55#19099253C2214yescomplemented
56#19099253C2214yescomplemented
57#19099252C2218yescomplemented
58#19099252C2214yescomplemented
59#19099251C2214yescomplemented
60#19099249C2218yescomplemented
61#19099247C2214yescomplemented
62#19099247C2214yescomplemented
63#19099245C2218yescomplemented
64#19099243C2218yescomplemented
65#19099242C2218yescomplemented
66#19099242C2218yescomplemented
67#19099241C2218yescomplemented
68#19099238C2218yescomplemented
69#19099237C2218yescomplemented
70Q8×D316C2212yescomplemented
71#19099228C2212yescomplemented
72#19099223C2214yescomplemented
73#19099220C2214yescomplemented
74#19099218C2214yescomplemented
75#19099218C2214yescomplemented
76#19099218C2212yescomplemented
77#19099216C2212yescomplemented
78#19099215C2214yescomplemented
79#19099215C2214yescomplemented
80#19099210C2214yescomplemented
81#19099210C2214yescomplemented
82#19099210C2214yescomplemented
83#19099209C2214yescomplemented
84#19099209C2214yescomplemented
85#19099209C2214yescomplemented
86#19099206C2214yescomplemented
87#19099201C2214yescomplemented
88D4×D316C2212yescomplemented
89#19099198C2212yescomplemented
90#19099191C2212yescomplemented
91#19099188C2214yescomplemented
92#19099184C2214yescomplemented
93#19099178C2214yescomplemented
94#19099175C2214yescomplemented
95#19099171C2214yescomplemented
96#19099162C2214yescomplemented
97#19099159C2218yescomplemented
98#19099158C2214yescomplemented
99#19099156C2218yescomplemented
100#19099155C2218yescomplemented
101#19099149C2218yescomplemented
102#19099148C2218yescomplemented
103#19099145C2218yescomplemented
104#19099141C2212yes—
105#19099139C2212yescomplemented
106#19099134C2212yescomplemented
107#19099123C2218yescomplemented
108#19099121C2214yes—
109#19099120C2214yescomplemented
110#19099120C2211yescharacteristic, complemented
111#19099120C2211yescharacteristic, complemented
112#19099120C2211yescharacteristic, complemented
113#19099117C2214yescomplemented
114#19099113C2211yescharacteristic
115#19099113C2211yescharacteristic, complemented
116#19099113C2211yescharacteristic, complemented
117#19099100C2214yescomplemented
118#19099099C2214yescomplemented
119#19099098C2214yescomplemented
120#19099097C2214yescomplemented
121#19099097C2212yescomplemented
122#19099097C2212yescomplemented
123#19099097C2212yescomplemented
124#19099097C2212yescomplemented
125#19099097C2212yescomplemented
126#19099097C2212yescomplemented
127#19099096C2218yescomplemented
128#19099095C2218yescomplemented
129#19099095C2214yescomplemented
130#19099095C2214yescomplemented
131#19099094C2214yescomplemented
132#19099093C2218yescomplemented
133#19099092C2214yescomplemented
134#19099091C2218yescomplemented
135#19099091C2218yescomplemented
136#19099090C2218yescomplemented
137#126×D79C2218yescomplemented
138#125×D79C2214yescomplemented
139#124×D79C2214yescomplemented
140#19099074C2212yescomplemented
141#19099074C2212yescomplemented
142#19099074C2212yescomplemented
143#19099072C2218yescomplemented
144#19099070C2218yescomplemented
145#123×D79C2218yescomplemented
146C22⋊Q8×D79C2214yescomplemented
147#121×D79C2214yes—
148#19099046C2212yescomplemented
149#19099045C2214yescomplemented
150#19099043C2212yescomplemented
151#19099043C2214yescomplemented
152#19099037C2212yes—
153#19099037C2214yescomplemented
154#19099035C2218yescomplemented
155#19099035C2214yescomplemented
156C4×#11929625C2214yescomplemented
157C4×#11929624C2212yescomplemented
158C4×#11929624C2212yescomplemented
159C4×#11929624C2212yescomplemented
160C4×#11929624C2212yescomplemented
161C4×#11929624C2212yescomplemented
162C4×#11929624C2212yescomplemented
163C4×#11929624C2212yescomplemented
164C4×#11929624C2212yescomplemented
165C4×#11929624C2212yescomplemented
166C4×#11929624C2214yescomplemented
167C4×#11929624C2212yescomplemented
168C4×#11929624C2212yescomplemented
169C2×C4×Dic158C2211yescharacteristic, complemented
170C2×C4×Dic158C2211yescharacteristic, complemented
171C4×Q8×D79C2214yescomplemented
172C2×C4×D316C2211yescharacteristic
173C2×C4×D316C2211yescharacteristic
174C2×C4×D316C2214yescomplemented
175C2×C4×C22⋊D79C2212yescomplemented
176C2×C4×C22⋊D79C2212yescomplemented
177C4×D4×D79C2218yescomplemented
178C4×D4×D79C2214yescomplemented
179C4×D4×D79C2214yescomplemented
180C2×#14579120C2211yescharacteristic, complemented
181C2×#14579118C2212yescomplemented
182#117×D79C2218yescomplemented
183C2×C42×D79C2212yescomplemented
184#533×C79C2211yescharacteristic, complemented
185#533×C79C2211yescharacteristic, complemented
186#533×C79C2211yescharacteristic, complemented
187#532×C79C2211yescharacteristic
188#532×C79C2211yescharacteristic, complemented
189#532×C79C2211yescharacteristic, complemented
190#529×C79C2212yescomplemented
191#529×C79C2212yescomplemented
192#529×C79C2212yescomplemented
193#529×C79C2212yescomplemented
194#529×C79C2212yescomplemented
195#529×C79C2212yescomplemented
196#525×C79C2212yescomplemented
197#525×C79C2212yescomplemented
198#525×C79C2212yescomplemented
199C4×#41×C79C2212yescomplemented
200C4×#41×C79C2212yescomplemented
201C4×#41×C79C2212yescomplemented
202C22×C42×C79C2211yescharacteristic, complemented
203#14579207—216no—
204C2×#11929625C2314yes—
205C2×#11929624—28no—
206C2×#11929624C2312yes—
207C2×#11929624C2314yes—
208C2×#11929624C2312yes—
209C2×#11929624C2312yes—
210C2×#11929624C2312yes—
211C2×#11929624C2312yes—
212C2×#11929624C2312yes—
213C2×#11929624C2312yes—
214C22×Dic158C2311yescharacteristic
215C2×Q8×D79C2314yes—
216C22×D316C2314yes—
217C22×D316C2311yescharacteristic
218C22×C22⋊D79C2312yes—
219C2×D4×D79C2314yes—
220C2×D4×D79C2318yes—
221C2×D4×D79C2314yes—
222C22×C4×D79C2312yes—
223C22×C4×D79C2312yes—
224C22×C4×D79C2312yes—
225C22×C4×D79C2318yes—
226#14579161C2314yes—
227#14579161C2314yes—
228#14579161C2311yescharacteristic
229#14579161C2311yescharacteristic
230#14579161C2311yescharacteristic
231#14579160C2314yes—
232#14579159C2314yes—
233#14579158C2311yescharacteristic
234#14579156C2318yes—
235#14579156C2318yes—
236#14579156C2318yes—
237#14579156C2318yes—
238#14579155C2318yes—
239#14579155C2314yes—
240#14579155C2314yes—
241#14579154C2318yes—
242#14579154C2318yes—
243#14579154C2318yes—
244#14579154C2318yes—
245#14579154C2318yes—
246#14579154C2318yes—
247#14579154C2318yes—
248#14579153C2318yes—
249#14579153C2314yes—
250#14579153C2312yes—
251#14579153C2312yes—
252#14579153C2312yes—
253#14579152C2318yes—
254#14579152C2314yes—
255#14579152C2314yes—
256#14579152C2314yes—
257#14579151C2318yes—
258#14579151C2318yes—
259#14579151C2318yes—
260#14579151C2318yes—
261#14579150C2314yes—
262#14579149C2314yes—
263#14579149C2312yes—
264#14579149C2312yes—
265#14579149C2312yes—
266#14579148C2318yes—
267#14579148C2314yes—
268#14579148C2314yes—
269#14579147C2318yes—
270#14579147C2318yes—
271#14579147C2318yes—
272#14579146C2318yes—
273#14579146C2318yes—
274#14579146C2318yes—
275#14579146C2318yes—
276#14579145C2318yes—
277#14579144C2314yes—
278#14579144C2318yes—
279#14579144C2314yes—
280#14579144C2314yes—
281#14579143C2318yes—
282#14579143C2318yes—
283#14579143C2318yes—
284#14579143C2318yes—
285#14579143C2318yes—
286#14579143C2318yes—
287#14579143C2318yes—
288#14579142C2318yes—
289#14579142C2318yes—
290#14579142C2318yes—
291#14579141C2314yes—
292#14579141C2314yes—
293#14579141C2318yes—
294#14579141C2314yes—
295#14579140C2314yes—
296#14579140C2318yes—
297#14579140C2312yes—
298#14579140C2312yes—
299#14579140C2314yes—
300#14579140C2314yes—
301#14579140C2312yes—
302#14579140C2312yes—
303#14579140C2312yes—
304#14579140C2312yes—
305#14579139C2318yes—
306#14579139C2318yes—
307#14579139C2318yes—
308#14579139C2318yes—
309#14579138C2318yes—
310#14579138C2318yes—
311#14579137C2314yes—
312#14579137C2318yes—
313#14579137C2318yes—
314#14579137C2314yes—
315#14579136C2314yes—
316#14579135C2314yes—
317#14579135C2312yes—
318#14579135C2312yes—
319#14579135C2312yes—
320#14579135C2312yes—
321#14579135C2312yes—
322#14579135C2312yes—
323#14579134C2318yes—
324#14579134C2318yes—
325#14579134C2318yes—
326#14579133C2318yes—
327#14579133C2318yes—
328#14579132C2314yes—
329#14579132C2318yes—
330#14579132C2318yes—
331#14579132C2318yes—
332#14579132C2314yes—
333#14579131C2318yes—
334#14579130C2314yes—
335#14579129C2318yes—
336#14579129C2318yes—
337#14579129C2318yes—
338Q8×Dic79C2314yes—
339Q8×Dic79C2314yes—
340C4×Dic158C2312yes—
341C4×Dic158C2312yes—
342C4×Dic158C2312yes—
343C4×Dic158C2312yes—
344C4×Dic158C2312yes—
345C4×Dic158C2312yes—
346C4×Dic158C2312yes—
347C4×Dic158C2314yes—
348C4×Dic158C2312yes—
349C4×Dic158C2312yes—
350C4×Dic158C2312yes—
351C4×Dic158C2312yes—
352C4×Dic158C2318yes—
353C4×Dic158C2312yes—
354C4×Dic158C2312yes—
355C4×Dic158C2312yes—
356#14579126C2314yes—
357#14579126C2318yes—
358C4×D316C2312yes—
359C4×D316C2312yes—
360C4×D316C2312yes—
361C4×D316C2312yes—
362C4×D316C2312yes—
363C4×D316C2312yes—
364C4×D316C2312yes—
365C4×D316C2314yes—
366C4×D316C2314yes—
367C4×D316C2318yes—
368C4×D316C2312yes—
369C4×D316C2314yes—
370C4×D316C2312yes—
371C4×D316C2312yes—
372C4×D316C2318yes—
373C4×D316C2312yes—
374C4×D316C2312yes—
375C4×D316C2312yes—
376C4×D316C2312yes—
377D4×Dic79C2318yes—
378D4×Dic79C2314yes—
379D4×Dic79C2314yes—
380#14579123C2318yes—
381#14579123C2314yes—
382#14579123C2314yes—
383#14579123C2314yes—
384#14579123C2318yes—
385C4×C22⋊D79C2314yes—
386C4×C22⋊D79C2314yes—
387C4×C22⋊D79C2314yes—
388C4×C22⋊D79C2314yes—
389C4×C22⋊D79C2314yes—
390C4×C22⋊D79C2314yes—
391C4×C22⋊D79C2314yes—
392C4×C22⋊D79C2318yes—
393C4×C22⋊D79C2314yes—
394C4×C22⋊D79C2314yes—
395C4×C22⋊D79C2314yes—
396C4×C22⋊D79C2318yes—
397C4×C22⋊D79C2314yes—
398C4×C22⋊D79C2318yes—
399C4×C22⋊D79C2314yes—
400C4×C22⋊D79C2314yes—
401C4×C22⋊D79C2314yes—
402(C22⋊D79)⋊C4C2318yes—
403(C22⋊D79)⋊C4C2318yes—
404(C22⋊D79)⋊C4C2318yes—
405(C22⋊D79)⋊C4C2318yes—
406#14579120C2312yes—
407#14579120C2312yes—
408#14579120C2312yes—
409#14579120C2312yes—
410#14579120C2314yes—
411#14579120C2312yes—
412#14579120C2312yes—
413#14579120C2318yes—
414#14579120C2312yes—
415#14579119C2318yes—
416#14579119C2318yes—
417#14579119C2318yes—
418#14579119C2314yes—
419#14579118C2314yes—
420#14579118C2314yes—
421#14579118C2314yes—
422#14579118C2314yes—
423#14579118C2318yes—
424#14579118C2314yes—
425#14579118C2314yes—
426#14579118C2314yes—
427#14579118C2318yes—
428#14579117C2318yes—
429#14579117C2318yes—
430C2×C4⋊Dic79C2311yescharacteristic
431C2×C4⋊Dic79C2314yes—
432C2×C4⋊Dic79C2311yescharacteristic
433C2×Dic79⋊C4C2312yes—
434C2×Dic79⋊C4C2312yes—
435C4⋊C4×D79C2318yes—
436C4⋊C4×D79C2318yes—
437C4⋊C4×D79C2318yes—
438C4⋊C4×D79C2314yes—
439C4⋊C4×D79C2314yes—
440C4⋊C4×D79C2314yes—
441C4⋊C4×D79C2318yes—
442C2×C22⋊Dic79C2312yes—
443C2×(C2×D79)⋊C4C2312yes—
444C2×(C2×D79)⋊C4C2318yes—
445C2×(C2×D79)⋊C4C2312yes—
446C22⋊C4×D79C2318yes—
447C22⋊C4×D79C2318yes—
448C22⋊C4×D79C2318yes—
449C22⋊C4×D79C2318yes—
450C22⋊C4×D79C2318yes—
451C22⋊C4×D79C2318yes—
452C2×C4×Dic79C2312yes—
453C2×C4×Dic79C2312yes—
454C2×C4×Dic79C2312yes—
455C42×D79C2314yes—
456C42×D79C2314yes—
457C42×D79C2314yes—
458C42×D79C2314yes—
459C42×D79C2318yes—
460C42×D79C2314yes—
461C2×#41×C79C2312yes—
462C2×#41×C79C2312yes—
463C2×#41×C79C2312yes—
464C23×C4×C79C2311yescharacteristic
465C23×C4×C79C2311yescharacteristic
466C23×C4×C79C2311yescharacteristic
467C4⋊Q8×C79C2311yescharacteristic
468C4⋊Q8×C79C2311yescharacteristic
469C4⋊Q8×C79C2311yescharacteristic
470#127×C79C2311yescharacteristic
471#126×C79C2314yes—
472#126×C79C2314yes—
473#125×C79C2312yes—
474#125×C79C2312yes—
475#125×C79C2312yes—
476#124×C79C2312yes—
477#124×C79C2312yes—
478#124×C79C2312yes—
479#123×C79C2314yes—
480#123×C79C2314yes—
481#123×C79C2314yes—
482C22⋊Q8×C79C2312yes—
483C22⋊Q8×C79C2312yes—
484C22⋊Q8×C79C2312yes—
485C22⋊Q8×C79C2312yes—
486C22⋊Q8×C79C2312yes—
487C22⋊Q8×C79C2312yes—
488#121×C79C2312yes—
489#121×C79C2312yes—
490#121×C79C2312yes—
491#121×C79C2312yes—
492#121×C79C2312yes—
493#121×C79C2312yes—
494#120×C79C2314yes—
495C4×Q8×C79C2312yes—
496C4×Q8×C79C2312yes—
497C4×Q8×C79C2312yes—
498C4×Q8×C79C2312yes—
499C4×Q8×C79C2312yes—
500C4×Q8×C79C2312yes—
501C4×D4×C79C2314yes—
502C4×D4×C79C2312yes—
503C4×D4×C79C2312yes—
504C4×D4×C79C2312yes—
505C4×D4×C79C2314yes—
506C4×D4×C79C2314yes—
507C4×D4×C79C2312yes—
508C4×D4×C79C2314yes—
509C4×D4×C79C2314yes—
510C4×D4×C79C2314yes—
511C4×D4×C79C2312yes—
512C4×D4×C79C2312yes—
513#117×C79C2312yes—
514#117×C79C2314yes—
515#117×C79C2314yes—
516#117×C79C2312yes—
517#117×C79C2312yes—
518#117×C79C2314yes—
519C2×C42×C79C2311yescharacteristic
520C2×C42×C79C2311yescharacteristic
521C2×C42×C79C2311yescharacteristic
522C2×C42×C79C2311yescharacteristic
523C2×C42×C79C2311yescharacteristic
524C2×C42×C79C2311yescharacteristic
525C2×C42×C79C2311yescharacteristic
526C2×C42×C79C2311yescharacteristic
527C2×C42×C79C2311yescharacteristic
528C2×C42×C79C2311yescharacteristic
529C2×C42×C79C2311yescharacteristic
530C2×C42×C79C2311yescharacteristic
531C2×C42×C79C2314yes—
532C23×D79C2418yes—
533C23×D79C2412yes—
534#11929625—216no—
535#11929624—28no—
536#11929624—28no—
537#11929624—28no—
538#11929624—28no—
539#11929624—216no—
540#11929624—28no—
541#11929624—44no—
542#11929624—44no—
543C2×Dic158—24no—
544C2×Dic158C2412yes—
545C2×Dic158C2412yes—
546C2×Dic158C2412yes—
547C2×Dic158C2412yes—
548C2×Dic158C2418yes—
549C2×Dic158C2412yes—
550Q8×D79—48no—
551C2×D316—216no—
552C2×D316#4118yescomplemented
553C2×D316C2412yes—
554C2×D316C2412yes—
555C2×D316C2418yes—
556C2×D316C2412yes—
557C2×D316C2412yes—
558C2×D316C2412yes—
559C2×C22⋊D79—28no—
560C2×C22⋊D79C2414yes—
561C2×C22⋊D79C2414yes—
562C2×C22⋊D79C2418yes—
563C2×C22⋊D79C2414yes—
564C2×C22⋊D79C2414yes—
565C2×C22⋊D79C2414yes—
566C2×C22⋊D79C2418yes—
567D4×D79—216no—
568D4×D79—232no—
569D4×D79—48no—
570C22×Dic79C2412yes—
571C22×Dic79C2412yes—
572C22×Dic79C2412yes—
573C22×Dic79C2418yes—
574C2×C4×D79—28no—
575C2×C4×D79—44no—
576C2×C4×D79—44no—
577C2×C4×D79—416no—
578C2×C4×D79C2414yes—
579C2×C4×D79C2414yes—
580C2×C4×D79C2414yes—
581C2×C4×D79C2418yes—
582C2×C4×D79C2414yes—
583C2×C4×D79C2414yes—
584C2×C4×D79C2414yes—
585C2×C4×D79C2418yes—
586C2×C4×D79C2414yes—
587C2×C4×D79C2414yes—
588C2×C4×D79C2414yes—
589C2×C4×D79C2418yes—
590C2×C4×D79C2418yes—
591C4⋊Dic79C2412yes—
592C4⋊Dic79C2412yes—
593C4⋊Dic79C2412yes—
594C4⋊Dic79C2418yes—
595C4⋊Dic79C2418yes—
596C4⋊Dic79C2418yes—
597C4⋊Dic79C2418yes—
598C4⋊Dic79C2412yes—
599C4⋊Dic79C2412yes—
600C4⋊Dic79C2412yes—
601C4⋊Dic79C2412yes—
602C4⋊Dic79C2412yes—
603C4⋊Dic79C2412yes—
604C4⋊Dic79C2412yes—
605Dic79⋊C4C2414yes—
606Dic79⋊C4C2414yes—
607Dic79⋊C4C2418yes—
608Dic79⋊C4C2414yes—
609Dic79⋊C4C2414yes—
610Dic79⋊C4C2418yes—
611Dic79⋊C4C2418yes—
612Dic79⋊C4C2418yes—
613Dic79⋊C4C2418yes—
614Dic79⋊C4C2418yes—
615Dic79⋊C4C2414yes—
616Dic79⋊C4C2414yes—
617Dic79⋊C4C2414yes—
618Dic79⋊C4C2414yes—
619Dic79⋊C4C2414yes—
620Dic79⋊C4C2414yes—
621C22⋊Dic79C2414yes—
622C22⋊Dic79C2418yes—
623C22⋊Dic79C2418yes—
624C22⋊Dic79C2418yes—
625C22⋊Dic79C2418yes—
626C22⋊Dic79C2414yes—
627C22⋊Dic79C2414yes—
628C22⋊Dic79C2414yes—
629C22⋊Dic79C2414yes—
630(C2×D79)⋊C4C2414yes—
631(C2×D79)⋊C4C2414yes—
632(C2×D79)⋊C4C2414yes—
633(C2×D79)⋊C4C2414yes—
634(C2×D79)⋊C4C2418yes—
635(C2×D79)⋊C4C2414yes—
636(C2×D79)⋊C4C2418yes—
637(C2×D79)⋊C4C2418yes—
638(C2×D79)⋊C4C2418yes—
639(C2×D79)⋊C4C2418yes—
640(C2×D79)⋊C4C2418yes—
641(C2×D79)⋊C4C2414yes—
642(C2×D79)⋊C4C2414yes—
643(C2×D79)⋊C4C2414yes—
644(C2×D79)⋊C4C2414yes—
645(C2×D79)⋊C4C2414yes—
646C4×Dic79C2414yes—
647C4×Dic79C2414yes—
648C4×Dic79C2414yes—
649C4×Dic79C2414yes—
650C4×Dic79C2414yes—
651C4×Dic79C2414yes—
652C4×Dic79C2414yes—
653C4×Dic79C2418yes—
654C4×Dic79C2418yes—
655C4×Dic79C2414yes—
656C4×Dic79C2414yes—
657C24×C79C2411yescharacteristic
658#41×C79—28no—
659#41×C79—44no—
660#41×C79—44no—
661C2×Q8×C79C2412yes—
662C2×Q8×C79C2412yes—
663C2×Q8×C79C2412yes—
664C2×D4×C79C2414yes—
665C2×D4×C79C2412yes—
666C2×D4×C79C2412yes—
667C2×D4×C79C2414yes—
668C2×D4×C79C2414yes—
669C2×D4×C79C2412yes—
670C22×C4×C79—24no—
671C22×C4×C79—42no—
672C22×C4×C79—42no—
673C22×C4×C79C2411yescharacteristic
674C22×C4×C79C2411yescharacteristic
675C22×C4×C79C2411yescharacteristic
676C22×C4×C79C2411yescharacteristic
677C22×C4×C79C2411yescharacteristic
678C22×C4×C79C2411yescharacteristic
679C22×C4×C79C2414yes—
680C22×C4×C79C2411yescharacteristic
681C22×C4×C79C2411yescharacteristic
682C22×C4×C79C2411yescharacteristic
683C22×C4×C79C2411yescharacteristic
684C22×C4×C79C2411yescharacteristic
685C22×C4×C79C2414yes—
686C22×C4×C79C2411yescharacteristic
687C22×C4×C79C2411yescharacteristic
688C22×C4×C79C2411yescharacteristic
689C22×C4×C79C2411yescharacteristic
690C22×C4×C79C2411yescharacteristic
691C22×C4×C79C2411yescharacteristic
692C22×C4×C79C2414yes—
693C22×C4×C79C2411yescharacteristic
694C4⋊C4×C79C2412yes—
695C4⋊C4×C79C2412yes—
696C4⋊C4×C79C2412yes—
697C4⋊C4×C79C2412yes—
698C4⋊C4×C79C2412yes—
699C4⋊C4×C79C2412yes—
700C4⋊C4×C79C2414yes—
701C4⋊C4×C79C2414yes—
702C4⋊C4×C79C2414yes—
703C4⋊C4×C79C2414yes—
704C4⋊C4×C79C2414yes—
705C4⋊C4×C79C2414yes—
706C22⋊C4×C79C2414yes—
707C22⋊C4×C79C2414yes—
708C22⋊C4×C79C2414yes—
709C22⋊C4×C79C2414yes—
710C22⋊C4×C79C2414yes—
711C22⋊C4×C79C2414yes—
712C22⋊C4×C79C2414yes—
713C22⋊C4×C79C2414yes—
714C22⋊C4×C79C2414yes—
715C42×C79C2411yescharacteristic
716C42×C79C2411yescharacteristic
717C42×C79C2411yescharacteristic
718C42×C79C2411yescharacteristic
719C42×C79C2411yescharacteristic
720C42×C79C2411yescharacteristic
721C42×C79C2411yescharacteristic
722C42×C79C2411yescharacteristic
723C42×C79C2411yescharacteristic
724C42×C79C2411yescharacteristic
725C42×C79C2411yescharacteristic
726C42×C79C2411yescharacteristic
727C42×C79C2411yescharacteristic
728C42×C79C2411yescharacteristic
729C42×C79C2411yescharacteristic
730C42×C79C2411yescharacteristic
731C42×C79C2414yes—
732C42×C79C2414yes—
733C42×C79C2414yes—
734C23×C79—22no—
735C23×C79—41no—
736C23×C79—41no—
737C23×C79C2514yes—
738C23×C79C2511yescharacteristic
739C23×C79C2511yescharacteristic
740C23×C79C2511yescharacteristic
741C22×D79—216no—
742C22×D79—42no—
743C22×D79—42no—
744C22×D79—48no—
745C22×D79—48no—
746C22×D79C2×#4118yes—
747C22×D79C2514yes—
748C22×D79C2514yes—
749Q8×C79—24no—
750Q8×C79—24no—
751Q8×C79—42no—
752D4×C79—28no—
753D4×C79—24no—
754D4×C79—24no—
755D4×C79—42no—
756D4×C79—44no—
757D4×C79—44no—
758C2×C4×C79—22no—
759C2×C4×C79—28no—
760C2×C4×C79—22no—
761C2×C4×C79—22no—
762C2×C4×C79—22no—
763C2×C4×C79—22no—
764C2×C4×C79—22no—
765C2×C4×C79—22no—
766C2×C4×C79—28no—
767C2×C4×C79—22no—
768C2×C4×C79—22no—
769C2×C4×C79—22no—
770C2×C4×C79—22no—
771C2×C4×C79—41no—
772C2×C4×C79—41no—
773C2×C4×C79—41no—
774C2×C4×C79—41no—
775C2×C4×C79—41no—
776C2×C4×C79—41no—
777C2×C4×C79—44no—
778C2×C4×C79C2×#4114yes—
779C2×C4×C79C2511yescharacteristic
780C2×C4×C79C2511yescharacteristic
781C2×C4×C79C2511yescharacteristic
782C2×C4×C79C2511yescharacteristic
783C2×C4×C79C2511yescharacteristic
784C2×C4×C79C2514yes—
785C2×C4×C79C2514yes—
786C2×C4×C79C2511yescharacteristic
787C2×C4×C79C2511yescharacteristic
788C2×C4×C79C2514yes—
789C2×C4×C79C2511yescharacteristic
790C2×C4×C79C2511yescharacteristic
791C2×C4×C79C2511yescharacteristic
792C2×C4×C79C2511yescharacteristic
793C2×C4×C79C2511yescharacteristic
794C22⋊D79—28no—
795C22⋊D79—216no—
796C22⋊D79—28no—
797C22⋊D79—28no—
798C22⋊D79—48no—
799C22⋊D79—44no—
800C22⋊D79—44no—
801C2×Dic79—24no—
802C2×Dic79—42no—
803C2×Dic79—48no—
804C2×Dic79—42no—
805C2×Dic79C2514yes—
806C2×Dic79C2514yes—
807C2×Dic79C2514yes—
808C2×Dic79C2514yes—
809C2×Dic79C2514yes—
810C2×Dic79C2514yes—
811D316—216no—
812D316—24no—
813D316—24no—
814D316—42no—
815D316C2×#4118yes—
816D316C2×#4118yes—
817C4×D79—28no—
818C4×D79—28no—
819C4×D79—216no—
820C4×D79—28no—
821C4×D79—28no—
822C4×D79—28no—
823C4×D79—28no—
824C4×D79—44no—
825C4×D79—48no—
826C4×D79—44no—
827C4×D79—48no—
828C4×D79—48no—
829C4×D79—44no—
830Dic158—24no—
831Dic158—24no—
832Dic158—24no—
833Dic158—24no—
834Dic158—48no—
835Dic158—42no—
836C22×C79—21no—
837C22×C79—21no—
838C22×C79—21no—
839C22×C79—21no—
840C22×C79—24no—
841C22×C79—21no—
842C22×C79—21no—
843C22×C79—24no—
844C22×C79—21no—
845C22×C79—21no—
846C22×C79—24no—
847C22×C79—44no—
848C22×C79C22×#4112yes—
849C22×C79C2611yescharacteristic
850C2×D79—24no—
851C2×D79—24no—
852C2×D79—24no—
853C2×D79—24no—
854C2×D79—24no—
855C2×D79—48no—
856C2×D79—816no—
857C2×D79C22×#4118yes—
858C4×C79—21no—
859C4×C79—21no—
860C4×C79—24no—
861C4×C79—21no—
862C4×C79—21no—
863C4×C79—21no—
864C4×C79—21no—
865C4×C79—21no—
866C4×C79—21no—
867C4×C79—24no—
868C4×C79—24no—
869C4×C79C22×#4112yes—
870C4×C79C22×#4112yes—
871C4×C79#58512yes—
872C4×C79#58512yes—
873Dic79—24no—
874Dic79—24no—
875Dic79—24no—
876Dic79—24no—
877Dic79—24no—
878Dic79—24no—
879#62781—791nomaximal, Sylow
880C2×C79—22no—
881C2×C79—44no—
882C2×C79—41no—
883C2×C79—41no—
884C2×C79C23×#4111yescharacteristic
885C2×C79C2×#58511yescharacteristic
886C2×C79C2×#58511yescharacteristic
887D79—28no—
888D79—44no—
889#3521—794no—
890#3521—794no—
891#3515—792no—
892#3515—792no—
893#3514—792no—
894#3514—792no—
895#3507—791no—
896#3507—791no—
897#3505—794no—
898#3501—791no—
899#3496—791no—
900#3493—792no—
901#3491—794no—
902#3485—792no—
903#3482—792no—
904#3482—792no—
905#3481—792no—
906#3481—792no—
907#3475—794no—
908#3475—794no—
909#3461—792no—
910#3459—794no—
911#3444—791no—
912#3444D7911yescharacteristic, complemented
913C2×#529—794no—
914C4×H(5,𝔽2)—792no—
915C2×C4×#41—791no—
916C79#6278111yescharacteristic, complemented, Sylow
917C2×H(5,𝔽2)—792no—
918C22×#41—791no—
919#559—792no—
920#559—792no—
921#557—792no—
922#557—792no—
923#556—792no—
924#556—794no—
925#556—794no—
926#556—794no—
927#556—794no—
928#556—792no—
929#555—794no—
930#555—794no—
931#554—792no—
932#554—792no—
933#554—794no—
934#554—794no—
935#554—792no—
936#554—792no—
937#553—798no—
938#553—794no—
939#553—794no—
940#553—794no—
941#553—798no—
942#553—794no—
943#552—798no—
944#552—798no—
945#552—794no—
946#552—794no—
947#552—794no—
948#552—798no—
949#552—794no—
950#552—794no—
951#552—798no—
952#552—794no—
953#551—798no—
954#551—798no—
955#551—798no—
956#551—798no—
957#551—798no—
958#551—798no—
959D4×Q8—792no—
960D4×Q8—792no—
961#548—794no—
962#548—794no—
963#547—792no—
964#547—794no—
965#547—794no—
966#547—794no—
967#547—794no—
968#547—792no—
969#546—794no—
970#546—794no—
971#546—794no—
972#546—794no—
973#546—794no—
974#546—794no—
975#546—794no—
976#546—794no—
977D42—792no—
978D42—792no—
979#544—792no—
980#543—794no—
981#542—794no—
982#542—794no—
983#541—794no—
984#541—794no—
985#539—798no—
986#539—798no—
987#539—794no—
988#539—794no—
989#539—798no—
990#538—798no—
991#538—798no—
992#538—798no—
993#537—792no—
994#536—792no—
995#536—792no—
996#534—794no—
997#534—798no—
998#533—794no—
999#533—791no—
1000#533—791no—
1001#533—791no—
1002#533—794no—
1003#533C2×D7911yescharacteristic, complemented
1004#533C2×D7911yescharacteristic, complemented
1005#533C2×D7911yescharacteristic, complemented
1006#532—791no—
1007#532—791no—
1008#532—791no—
1009#532C2×D7911yescharacteristic
1010#532C2×D7911yescharacteristic, complemented
1011#532C2×D7911yescharacteristic, complemented
1012#529—798no—
1013#529—794no—
1014#529—794no—
1015#529—798no—
1016#529—794no—
1017#529—794no—
1018#529—794no—
1019#529—798no—
1020#529—794no—
1021#529—798no—
1022#529—794no—
1023#529—798no—
1024#529—798no—
1025#529—792no—
1026#529—792no—
1027#529—792no—
1028#529—792no—
1029#529—792no—
1030#529—792no—
1031#529—794no—
1032#529C2×D7912yescomplemented
1033#529C2×D7912yescomplemented
1034#529C2×D7912yescomplemented
1035#529C2×D7912yescomplemented
1036#529C2×D7912yescomplemented
1037#529C2×D7912yescomplemented
1038C2×#126—798no—
1039C2×#125—794no—
1040C2×#124—794no—
1041#525—798no—
1042#525—792no—
1043#525—792no—
1044#525—792no—
1045#525—798no—
1046#525C2×D7912yescomplemented
1047#525C2×D7912yescomplemented
1048#525C2×D7912yescomplemented
1049C2×#123—798no—
1050C2×C22⋊Q8—794no—
1051C2×#121—794no—
1052#520—792no—
1053#520—794no—
1054#520—792no—
1055#520—794no—
1056#518—798no—
1057#518—794no—
1058#518—792no—
1059#518—794no—
1060C4×#41—794no—
1061C4×#41—792no—
1062C4×#41—792no—
1063C4×#41—792no—
1064C4×#41—792no—
1065C4×#41—792no—
1066C4×#41—792no—
1067C4×#41—792no—
1068C4×#41—792no—
1069C4×#41—792no—
1070C4×#41—794no—
1071C4×#41—792no—
1072C4×#41—792no—
1073C4×#41C2×D7912yescomplemented
1074C4×#41C2×D7912yescomplemented
1075C4×#41C2×D7912yescomplemented
1076C2×C4×Q8—794no—
1077C2×C4×Q8—791no—
1078C2×C4×Q8—791no—
1079C2×C4×D4—792no—
1080C2×C4×D4—792no—
1081C2×C4×D4—798no—
1082C2×C4×D4—794no—
1083C2×C4×D4—794no—
1084C2×C4×D4—791no—
1085C2×C4×D4—791no—
1086C2×C4×D4—794no—
1087C2×#117—791no—
1088C2×#117—798no—
1089C2×#117—792no—
1090C22×C42—792no—
1091C22×C42C2×D7911yescharacteristic, complemented
1092H(5,𝔽2)—15816no—
1093C2×#41—794no—
1094C2×#41—792no—
1095C2×#41—792no—
1096C2×#41—792no—
1097C2×#41—792no—
1098C2×#41—792no—
1099C2×#41—792no—
1100C2×#41—792no—
1101C2×#41—794no—
1102C2×#41—1588no—
1103C2×#41C22×D7912yes—
1104C2×#41C22×D7912yes—
1105C2×#41C22×D7912yes—
1106C22×Q8—794no—
1107C22×Q8—791no—
1108C22×D4—794no—
1109C22×D4—792no—
1110C22×D4—798no—
1111C22×D4—794no—
1112C22×D4—791no—
1113C22×D4—794no—
1114C23×C4—798no—
1115C23×C4—792no—
1116C23×C4—792no—
1117C23×C4—792no—
1118C23×C4C22×D7911yescharacteristic
1119C23×C4C22×D7911yescharacteristic
1120C23×C4C22×D7911yescharacteristic
1121C4⋊Q8—794no—
1122C4⋊Q8—794no—
1123C4⋊Q8—791no—
1124C4⋊Q8—791no—
1125C4⋊Q8—791no—
1126C4⋊Q8—794no—
1127C4⋊Q8—794no—
1128C4⋊Q8C22×D7911yescharacteristic
1129C4⋊Q8C22×D7911yescharacteristic
1130C4⋊Q8C22×D7911yescharacteristic
1131#127—791no—
1132#127C22×D7911yescharacteristic
1133#126—798no—
1134#126—798no—
1135#126—798no—
1136#126—798no—
1137#126—798no—
1138#126—798no—
1139#126—798no—
1140#126—798no—
1141#126—798no—
1142#126—798no—
1143#126—798no—
1144#126—794no—
1145#126—794no—
1146#126—798no—
1147#126C22×D7914yes—
1148#126C22×D7914yes—
1149#125—798no—
1150#125—798no—
1151#125—794no—
1152#125—794no—
1153#125—798no—
1154#125—798no—
1155#125—794no—
1156#125—798no—
1157#125—792no—
1158#125—792no—
1159#125—792no—
1160#125—794no—
1161#125—798no—
1162#125C22×D7912yes—
1163#125C22×D7912yes—
1164#125C22×D7912yes—
1165#124—794no—
1166#124—794no—
1167#124—794no—
1168#124—798no—
1169#124—798no—
1170#124—798no—
1171#124—798no—
1172#124—792no—
1173#124—792no—
1174#124—792no—
1175#124—794no—
1176#124C22×D7912yes—
1177#124C22×D7912yes—
1178#124C22×D7912yes—
1179#123—798no—
1180#123—798no—
1181#123—798no—
1182#123—794no—
1183#123—794no—
1184#123—794no—
1185#123—798no—
1186#123—798no—
1187#123—798no—
1188#123—798no—
1189#123—798no—
1190#123—798no—
1191#123—798no—
1192#123—798no—
1193#123—798no—
1194#123—798no—
1195#123—798no—
1196#123—798no—
1197#123—798no—
1198#123C22×D7914yes—
1199#123C22×D7914yes—
1200#123C22×D7914yes—
1201C22⋊Q8—794no—
1202C22⋊Q8—798no—
1203C22⋊Q8—798no—
1204C22⋊Q8—794no—
1205C22⋊Q8—792no—
1206C22⋊Q8—792no—
1207C22⋊Q8—792no—
1208C22⋊Q8—792no—
1209C22⋊Q8—792no—
1210C22⋊Q8—792no—
1211C22⋊Q8—794no—
1212C22⋊Q8—794no—
1213C22⋊Q8—794no—
1214C22⋊Q8—798no—
1215C22⋊Q8—794no—
1216C22⋊Q8—798no—
1217C22⋊Q8—798no—
1218C22⋊Q8—794no—
1219C22⋊Q8—798no—
1220C22⋊Q8—798no—
1221C22⋊Q8—794no—
1222C22⋊Q8—798no—
1223C22⋊Q8—798no—
1224C22⋊Q8—798no—
1225C22⋊Q8C22×D7912yes—
1226C22⋊Q8C22×D7912yes—
1227C22⋊Q8C22×D7912yes—
1228C22⋊Q8C22×D7912yes—
1229C22⋊Q8C22×D7912yes—
1230C22⋊Q8C22×D7912yes—
1231#121—798no—
1232#121—794no—
1233#121—798no—
1234#121—798no—
1235#121—798no—
1236#121—798no—
1237#121—794no—
1238#121—792no—
1239#121—792no—
1240#121—792no—
1241#121—792no—
1242#121—792no—
1243#121—792no—
1244#121—794no—
1245#121—794no—
1246#121—798no—
1247#121—798no—
1248#121—798no—
1249#121C22×D7912yes—
1250#121C22×D7912yes—
1251#121C22×D7912yes—
1252#121C22×D7912yes—
1253#121C22×D7912yes—
1254#121C22×D7912yes—
1255#120—794no—
1256#120—798no—
1257#120—798no—
1258#120—798no—
1259#120—798no—
1260#120C22×D7914yes—
1261C4×Q8—794no—
1262C4×Q8—794no—
1263C4×Q8—794no—
1264C4×Q8—798no—
1265C4×Q8—792no—
1266C4×Q8—792no—
1267C4×Q8—792no—
1268C4×Q8—792no—
1269C4×Q8—792no—
1270C4×Q8—792no—
1271C4×Q8—792no—
1272C4×Q8—792no—
1273C4×Q8—792no—
1274C4×Q8—798no—
1275C4×Q8—792no—
1276C4×Q8—792no—
1277C4×Q8—794no—
1278C4×Q8—792no—
1279C4×Q8—792no—
1280C4×Q8—792no—
1281C4×Q8C22×D7912yes—
1282C4×Q8C22×D7912yes—
1283C4×Q8C22×D7912yes—
1284C4×Q8C22×D7912yes—
1285C4×Q8C22×D7912yes—
1286C4×Q8C22×D7912yes—
1287C4×D4—798no—
1288C4×D4—794no—
1289C4×D4—794no—
1290C4×D4—794no—
1291C4×D4—798no—
1292C4×D4—794no—
1293C4×D4—794no—
1294C4×D4—794no—
1295C4×D4—794no—
1296C4×D4—794no—
1297C4×D4—794no—
1298C4×D4—794no—
1299C4×D4—794no—
1300C4×D4—798no—
1301C4×D4—794no—
1302C4×D4—798no—
1303C4×D4—794no—
1304C4×D4—794no—
1305C4×D4—794no—
1306C4×D4—794no—
1307C4×D4—798no—
1308C4×D4—794no—
1309C4×D4—794no—
1310C4×D4—794no—
1311C4×D4—798no—
1312C4×D4—798no—
1313C4×D4—798no—
1314C4×D4—798no—
1315C4×D4—798no—
1316C4×D4—792no—
1317C4×D4—792no—
1318C4×D4—798no—
1319C4×D4—792no—
1320C4×D4—792no—
1321C4×D4—792no—
1322C4×D4—792no—
1323C4×D4—792no—
1324C4×D4—792no—
1325C4×D4—792no—
1326C4×D4—792no—
1327C4×D4—794no—
1328C4×D4—798no—
1329C4×D4—794no—
1330C4×D4—792no—
1331C4×D4—794no—
1332C4×D4—792no—
1333C4×D4—792no—
1334C4×D4—792no—
1335C4×D4C22×D7914yes—
1336C4×D4C22×D7912yes—
1337C4×D4C22×D7912yes—
1338C4×D4C22×D7914yes—
1339C4×D4C22×D7912yes—
1340C4×D4C22×D7914yes—
1341C4×D4C22×D7914yes—
1342C4×D4C22×D7914yes—
1343C4×D4C22×D7914yes—
1344C4×D4C22×D7912yes—
1345C4×D4C22×D7912yes—
1346C4×D4C22×D7912yes—
1347#117—792no—
1348#117—792no—
1349#117—792no—
1350#117—792no—
1351#117—798no—
1352#117—792no—
1353#117—794no—
1354#117—792no—
1355#117—792no—
1356#117—798no—
1357#117—798no—
1358#117—798no—
1359#117—794no—
1360#117—798no—
1361#117—798no—
1362#117—794no—
1363#117—794no—
1364#117—794no—
1365#117—794no—
1366#117—794no—
1367#117—798no—
1368#117—794no—
1369#117—798no—
1370#117—794no—
1371#117C22×D7914yes—
1372#117C22×D7912yes—
1373#117C22×D7914yes—
1374#117C22×D7912yes—
1375#117C22×D7912yes—
1376#117C22×D7914yes—
1377C2×C4⋊C4—791no—
1378C2×C4⋊C4—791no—
1379C2×C4⋊C4—792no—
1380C2×C4⋊C4—792no—
1381C2×C4⋊C4—794no—
1382C2×C4⋊C4—798no—
1383C2×C4⋊C4—798no—
1384C2×C4⋊C4—798no—
1385C2×C4⋊C4—794no—
1386C2×C4⋊C4—794no—
1387C2×C4⋊C4—794no—
1388C2×C4⋊C4—798no—
1389C2×C22⋊C4—792no—
1390C2×C22⋊C4—792no—
1391C2×C22⋊C4—792no—
1392C2×C22⋊C4—798no—
1393C2×C22⋊C4—798no—
1394C2×C22⋊C4—798no—
1395C2×C22⋊C4—798no—
1396C2×C22⋊C4—798no—
1397C2×C22⋊C4—798no—
1398C2×C22⋊C4—798no—
1399C2×C42—792no—
1400C2×C42—792no—
1401C2×C42—792no—
1402C2×C42—794no—
1403C2×C42—798no—
1404C2×C42—794no—
1405C2×C42—794no—
1406C2×C42—794no—
1407C2×C42—794no—
1408C2×C42C22×D7911yescharacteristic
1409C2×C42C22×D7911yescharacteristic
1410C2×C42C22×D7911yescharacteristic
1411C2×C42C22×D7914yes—
1412C2×C42C22×D7911yescharacteristic
1413C2×C42C22×D7911yescharacteristic
1414C2×C42C22×D7911yescharacteristic
1415C2×C42C22×D7911yescharacteristic
1416C2×C42C22×D7911yescharacteristic
1417C2×C42C22×D7911yescharacteristic
1418C2×C42C22×D7911yescharacteristic
1419C2×C42C22×D7911yescharacteristic
1420C2×C42C22×D7911yescharacteristic
1421C24—792no—
1422C24—798no—
1423C24C23×D7911yescharacteristic
1424#41—28no—
1425#41—44no—
1426#41—44no—
1427#41—3164no—
1428#41—3164no—
1429#41—1588no—
1430#41—1588no—
1431#41—1588no—
1432#41—1588no—
1433#41—15816no—
1434#41—15816no—
1435#41—1588no—
1436C2×Q8—3168no—
1437C2×Q8—792no—
1438C2×Q8—798no—
1439C2×Q8—792no—
1440C2×Q8—792no—
1441C2×Q8—792no—
1442C2×Q8—792no—
1443C2×Q8—1584no—
1444C2×Q8C23×D7912yes—
1445C2×Q8C23×D7912yes—
1446C2×Q8C23×D7912yes—
1447C2×D4—3168no—
1448C2×D4—794no—
1449C2×D4—794no—
1450C2×D4—798no—
1451C2×D4—794no—
1452C2×D4—794no—
1453C2×D4—798no—
1454C2×D4—794no—
1455C2×D4—798no—
1456C2×D4—792no—
1457C2×D4—792no—
1458C2×D4—792no—
1459C2×D4—798no—
1460C2×D4—792no—
1461C2×D4—792no—
1462C2×D4—15816no—
1463C2×D4—15816no—
1464C2×D4—15832no—
1465C2×D4—1588no—
1466C2×D4C23×D7914yes—
1467C2×D4C23×D7912yes—
1468C2×D4C23×D7912yes—
1469C2×D4C23×D7912yes—
1470C2×D4C23×D7914yes—
1471C2×D4C23×D7914yes—
1472C22×C4—24no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—3164no—
1476C22×C4—3164no—
1477C22×C4—31616no—
1478C22×C4—792no—
1479C22×C4—792no—
1480C22×C4—798no—
1481C22×C4—794no—
1482C22×C4—794no—
1483C22×C4—798no—
1484C22×C4—794no—
1485C22×C4—798no—
1486C22×C4—798no—
1487C22×C4—792no—
1488C22×C4—794no—
1489C22×C4—794no—
1490C22×C4—794no—
1491C22×C4—798no—
1492C22×C4—794no—
1493C22×C4—794no—
1494C22×C4—794no—
1495C22×C4—1588no—
1496C22×C4C23×D7911yescharacteristic
1497C22×C4C23×D7911yescharacteristic
1498C22×C4C23×D7911yescharacteristic
1499C22×C4C23×D7911yescharacteristic
1500C22×C4C23×D7911yescharacteristic
1501C22×C4C23×D7911yescharacteristic
1502C22×C4C23×D7911yescharacteristic
1503C22×C4C23×D7911yescharacteristic
1504C22×C4C23×D7914yes—
1505C22×C4C23×D7911yescharacteristic
1506C22×C4C23×D7911yescharacteristic
1507C22×C4C23×D7911yescharacteristic
1508C22×C4C23×D7914yes—
1509C22×C4C23×D7911yescharacteristic
1510C22×C4C23×D7911yescharacteristic
1511C22×C4C23×D7911yescharacteristic
1512C22×C4C23×D7911yescharacteristic
1513C22×C4C23×D7911yescharacteristic
1514C22×C4C23×D7911yescharacteristic
1515C22×C4C23×D7914yes—
1516C22×C4C23×D7911yescharacteristic
1517C4⋊C4—794no—
1518C4⋊C4—794no—
1519C4⋊C4—798no—
1520C4⋊C4—794no—
1521C4⋊C4—794no—
1522C4⋊C4—794no—
1523C4⋊C4—794no—
1524C4⋊C4—794no—
1525C4⋊C4—794no—
1526C4⋊C4—798no—
1527C4⋊C4—798no—
1528C4⋊C4—798no—
1529C4⋊C4—798no—
1530C4⋊C4—798no—
1531C4⋊C4—794no—
1532C4⋊C4—794no—
1533C4⋊C4—792no—
1534C4⋊C4—792no—
1535C4⋊C4—792no—
1536C4⋊C4—792no—
1537C4⋊C4—798no—
1538C4⋊C4—792no—
1539C4⋊C4—792no—
1540C4⋊C4—792no—
1541C4⋊C4—798no—
1542C4⋊C4—798no—
1543C4⋊C4—798no—
1544C4⋊C4—792no—
1545C4⋊C4—792no—
1546C4⋊C4—792no—
1547C4⋊C4C23×D7914yes—
1548C4⋊C4C23×D7914yes—
1549C4⋊C4C23×D7912yes—
1550C4⋊C4C23×D7912yes—
1551C4⋊C4C23×D7914yes—
1552C4⋊C4C23×D7912yes—
1553C4⋊C4C23×D7914yes—
1554C4⋊C4C23×D7912yes—
1555C4⋊C4C23×D7914yes—
1556C4⋊C4C23×D7912yes—
1557C4⋊C4C23×D7912yes—
1558C4⋊C4C23×D7914yes—
1559C22⋊C4—794no—
1560C22⋊C4—798no—
1561C22⋊C4—794no—
1562C22⋊C4—794no—
1563C22⋊C4—798no—
1564C22⋊C4—798no—
1565C22⋊C4—798no—
1566C22⋊C4—794no—
1567C22⋊C4—794no—
1568C22⋊C4—794no—
1569C22⋊C4—794no—
1570C22⋊C4—794no—
1571C22⋊C4—794no—
1572C22⋊C4—798no—
1573C22⋊C4—798no—
1574C22⋊C4—794no—
1575C22⋊C4—794no—
1576C22⋊C4—798no—
1577C22⋊C4—794no—
1578C22⋊C4—794no—
1579C22⋊C4—794no—
1580C22⋊C4—798no—
1581C22⋊C4—798no—
1582C22⋊C4—798no—
1583C22⋊C4—794no—
1584C22⋊C4C23×D7914yes—
1585C22⋊C4C23×D7914yes—
1586C22⋊C4C23×D7914yes—
1587C22⋊C4C23×D7914yes—
1588C22⋊C4C23×D7914yes—
1589C22⋊C4C23×D7914yes—
1590C22⋊C4C23×D7914yes—
1591C22⋊C4C23×D7914yes—
1592C22⋊C4C23×D7914yes—
1593C42—794no—
1594C42—794no—
1595C42—794no—
1596C42—794no—
1597C42—794no—
1598C42—794no—
1599C42—798no—
1600C42—798no—
1601C42—794no—
1602C42—794no—
1603C42—794no—
1604C42C23×D7911yescharacteristic
1605C42C23×D7911yescharacteristic
1606C42C23×D7911yescharacteristic
1607C42C23×D7911yescharacteristic
1608C42C23×D7911yescharacteristic
1609C42C23×D7911yescharacteristic
1610C42C23×D7911yescharacteristic
1611C42C23×D7911yescharacteristic
1612C42C23×D7911yescharacteristic
1613C42C23×D7911yescharacteristic
1614C42C23×D7911yescharacteristic
1615C42C23×D7911yescharacteristic
1616C42C23×D7914yes—
1617C42C23×D7914yes—
1618C42C23×D7911yescharacteristic
1619C42C23×D7911yescharacteristic
1620C42C23×D7911yescharacteristic
1621C42C23×D7914yes—
1622C42C23×D7911yescharacteristic
1623C23—22no—
1624C23—41no—
1625C23—41no—
1626C23—3162no—
1627C23—3162no—
1628C23—3168no—
1629C23—3168no—
1630C23—798no—
1631C23—794no—
1632C23—794no—
1633C23—15816no—
1634C23C24×D7914yes—
1635C23C24×D7911yescharacteristic
1636C23C24×D7911yescharacteristic
1637C23C24×D7911yescharacteristic
1638Q8—24no—
1639Q8—24no—
1640Q8—42no—
1641Q8—3168no—
1642Q8—3162no—
1643Q8—1584no—
1644Q8—1584no—
1645Q8—1584no—
1646Q8—1584no—
1647D4—28no—
1648D4—24no—
1649D4—24no—
1650D4—42no—
1651D4—44no—
1652D4—44no—
1653D4—3162no—
1654D4—3168no—
1655D4—3164no—
1656D4—3164no—
1657D4—798no—
1658D4—798no—
1659D4—15816no—
1660D4—15816no—
1661D4—1588no—
1662D4—1588no—
1663D4—1588no—
1664D4—1584no—
1665D4—1584no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—28no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—28no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—44no—
1686C2×C4—3164no—
1687C2×C4—3164no—
1688C2×C4—3168no—
1689C2×C4—3168no—
1690C2×C4—3168no—
1691C2×C4—3164no—
1692C2×C4—3162no—
1693C2×C4—3168no—
1694C2×C4—3162no—
1695C2×C4—794no—
1696C2×C4—794no—
1697C2×C4—794no—
1698C2×C4—794no—
1699C2×C4—794no—
1700C2×C4—794no—
1701C2×C4—1588no—
1702C2×C4—1588no—
1703C2×C4—15816no—
1704C2×C4—1584no—
1705C2×C4—1588no—
1706C2×C4—1588no—
1707C2×C4—1588no—
1708C2×C4—1588no—
1709C2×C4#41×D7914yes—
1710C2×C4C24×D7911yescharacteristic
1711C2×C4C24×D7911yescharacteristic
1712C2×C4C24×D7911yescharacteristic
1713C2×C4C24×D7911yescharacteristic
1714C2×C4C24×D7911yescharacteristic
1715C2×C4C24×D7914yes—
1716C2×C4C24×D7914yes—
1717C2×C4C24×D7911yescharacteristic
1718C2×C4C24×D7911yescharacteristic
1719C2×C4C24×D7911yescharacteristic
1720C2×C4C24×D7914yes—
1721C2×C4C24×D7911yescharacteristic
1722C2×C4C24×D7911yescharacteristic
1723C2×C4C24×D7911yescharacteristic
1724C2×C4C24×D7911yescharacteristic
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—24no—
1730C22—21no—
1731C22—21no—
1732C22—21no—
1733C22—21no—
1734C22—24no—
1735C22—24no—
1736C22—44no—
1737C22—3168no—
1738C22—798no—
1739C22—63216no—
1740C22—1584no—
1741C22—1584no—
1742C22—1584no—
1743C22—1584no—
1744C22—1584no—
1745C22C2×#41×D7912yes—
1746C22C25×D7911yescharacteristic
1747C4—21no—
1748C4—21no—
1749C4—24no—
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—24no—
1757C4—24no—
1758C4—1584no—
1759C4—1584no—
1760C4—1584no—
1761C4—1584no—
1762C4—1584no—
1763C4—1584no—
1764C4C2×#41×D7912yes—
1765C4C2×#41×D7912yes—
1766C4#1909939912yes—
1767C4#1909939912yes—
1768C2—22no—
1769C2—41no—
1770C2—41no—
1771C2—44no—
1772C2—3164no—
1773C2—1588no—
1774C2C22×#41×D7911yescharacteristic
1775C2C2×#1909939911yescharacteristic
1776C2C2×#1909939911yescharacteristic
subgroupG/H
centerC2×C4C24×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC79×#3444C2
hypercenter#3444D79
hypocenterC79#62781
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #23777472C2semidirect
2. #23777462C2semidirect
3. #23777380C2semidirect
4. #23777373C2semidirect
5. #23777363C2semidirect
6. #23777356C2semidirect
7. #23777267C2semidirect
8. #23777262C2semidirect
9. #23777228C2semidirect
10. #23777201C2semidirect
11. #23777162C2semidirect
12. #23777117C2semidirect
13. #23777092C2semidirect
14. #23777042C2semidirect
15. #23777022C2semidirect
16. #23777018C2semidirect
17. #23777010C2semidirect
18. #23777008C2semidirect
19. #23776964C2semidirect
20. #23776956C2semidirect
21. #23776827C2semidirect
22. #23776807C2semidirect
23. #23776696C2semidirect
24. #529×D79C2semidirect
25. C4×#14579207C2semidirect
26. C2×C4×#11929624C2semidirect
27. C79×#3444C2semidirect
30. #19099299C22semidirect
31. #19099298C22semidirect
32. #19099292C22semidirect
33. #19099288C22semidirect
34. #19099287C22semidirect
35. #19099286C22semidirect
36. #19099284C22semidirect
37. #19099283C22semidirect
38. #19099283C22semidirect
39. #19099282C22semidirect
40. #19099278C22semidirect
41. #19099277C22semidirect
42. #19099274C22semidirect
43. #19099274C22semidirect
44. #19099273C22semidirect
45. #19099273C22semidirect
46. #19099270C22semidirect
47. #19099269C22semidirect
48. #19099263C22semidirect
49. #19099260C22semidirect
50. #19099260C22semidirect
51. #19099259C22semidirect
52. #19099258C22semidirect
53. #19099257C22semidirect
54. #19099254C22semidirect
55. #19099253C22semidirect
56. #19099253C22semidirect
57. #19099252C22semidirect
58. #19099252C22semidirect
59. #19099251C22semidirect
60. #19099249C22semidirect
61. #19099247C22semidirect
62. #19099247C22semidirect
63. #19099245C22semidirect
64. #19099243C22semidirect
65. #19099242C22semidirect
66. #19099242C22semidirect
67. #19099241C22semidirect
68. #19099238C22semidirect
69. #19099237C22semidirect
70. Q8×D316C22semidirect
71. #19099228C22semidirect
72. #19099223C22semidirect
73. #19099220C22semidirect
74. #19099218C22semidirect
75. #19099218C22semidirect
76. #19099218C22semidirect
77. #19099216C22semidirect
78. #19099215C22semidirect
79. #19099215C22semidirect
80. #19099210C22semidirect
81. #19099210C22semidirect
82. #19099210C22semidirect
83. #19099209C22semidirect
84. #19099209C22semidirect
85. #19099209C22semidirect
86. #19099206C22semidirect
87. #19099201C22semidirect
88. D4×D316C22semidirect
89. #19099198C22semidirect
90. #19099191C22semidirect
91. #19099188C22semidirect
92. #19099184C22semidirect
93. #19099178C22semidirect
94. #19099175C22semidirect
95. #19099171C22semidirect
96. #19099162C22semidirect
97. #19099159C22semidirect
98. #19099158C22semidirect
99. #19099156C22semidirect
100. #19099155C22semidirect
101. #19099149C22semidirect
102. #19099148C22semidirect
103. #19099145C22semidirect
105. #19099139C22semidirect
106. #19099134C22semidirect
107. #19099123C22semidirect
109. #19099120C22semidirect
110. #19099120C22semidirect
111. #19099120C22semidirect
112. #19099120C22semidirect
113. #19099117C22semidirect
115. #19099113C22semidirect
116. #19099113C22semidirect
117. #19099100C22semidirect
118. #19099099C22semidirect
119. #19099098C22semidirect
120. #19099097C22semidirect
121. #19099097C22semidirect
122. #19099097C22semidirect
123. #19099097C22semidirect
124. #19099097C22semidirect
125. #19099097C22semidirect
126. #19099097C22semidirect
127. #19099096C22semidirect
128. #19099095C22semidirect
129. #19099095C22semidirect
130. #19099095C22semidirect
131. #19099094C22semidirect
132. #19099093C22semidirect
133. #19099092C22semidirect
134. #19099091C22semidirect
135. #19099091C22semidirect
136. #19099090C22semidirect
137. #126×D79C22semidirect
138. #125×D79C22semidirect
139. #124×D79C22semidirect
140. #19099074C22semidirect
141. #19099074C22semidirect
142. #19099074C22semidirect
143. #19099072C22semidirect
144. #19099070C22semidirect
145. #123×D79C22semidirect
146. C22⋊Q8×D79C22semidirect
148. #19099046C22semidirect
149. #19099045C22semidirect
150. #19099043C22semidirect
151. #19099043C22semidirect
153. #19099037C22semidirect
154. #19099035C22semidirect
155. #19099035C22semidirect
156. C4×#11929625C22semidirect
157. C4×#11929624C22semidirect
158. C4×#11929624C22semidirect
159. C4×#11929624C22semidirect
160. C4×#11929624C22semidirect
161. C4×#11929624C22semidirect
162. C4×#11929624C22semidirect
163. C4×#11929624C22semidirect
164. C4×#11929624C22semidirect
165. C4×#11929624C22semidirect
166. C4×#11929624C22semidirect
167. C4×#11929624C22semidirect
168. C4×#11929624C22semidirect
169. C2×C4×Dic158C22semidirect
170. C2×C4×Dic158C22semidirect
171. C4×Q8×D79C22semidirect
174. C2×C4×D316C22semidirect
175. C2×C4×C22⋊D79C22semidirect
176. C2×C4×C22⋊D79C22semidirect
177. C4×D4×D79C22semidirect
178. C4×D4×D79C22semidirect
179. C4×D4×D79C22semidirect
180. C2×#14579120C22semidirect
181. C2×#14579118C22semidirect
182. #117×D79C22semidirect
183. C2×C42×D79C22semidirect
184. #533×C79C22semidirect
185. #533×C79C22semidirect
186. #533×C79C22semidirect
188. #532×C79C22semidirect
189. #532×C79C22semidirect
190. #529×C79C22semidirect
191. #529×C79C22semidirect
192. #529×C79C22semidirect
193. #529×C79C22semidirect
194. #529×C79C22semidirect
195. #529×C79C22semidirect
196. #525×C79C22semidirect
197. #525×C79C22semidirect
198. #525×C79C22semidirect
199. C4×#41×C79C22semidirect
200. C4×#41×C79C22semidirect
201. C4×#41×C79C22semidirect
202. C22×C42×C79C22semidirect
552. C2×D316#41semidirect
912. #3444D79semidirect
916. C79#62781semidirect
1003. #533C2×D79semidirect
1004. #533C2×D79semidirect
1005. #533C2×D79semidirect
1010. #532C2×D79semidirect
1011. #532C2×D79semidirect
1032. #529C2×D79semidirect
1033. #529C2×D79semidirect
1034. #529C2×D79semidirect
1035. #529C2×D79semidirect
1036. #529C2×D79semidirect
1037. #529C2×D79semidirect
1046. #525C2×D79semidirect
1047. #525C2×D79semidirect
1048. #525C2×D79semidirect
1073. C4×#41C2×D79semidirect
1074. C4×#41C2×D79semidirect
1075. C4×#41C2×D79semidirect
1091. C22×C42C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774722
#237774622
#237773802
#237773732
#237773632
#237773562
#237772672
#237772622
#237772282
#237772012
#237771622
#237771172
#237770922
#237770422
#237770222
#237770182
#237770102
#237770082
#237769642
#237769562
#237768272
#237768072
#237766962
#529×D792
C4×#145792072
C2×C4×#119296242
C79×#34442
#6278179