Finite Group Databasebeta

← #35196850

Subgroups — #35196850

Order 20224.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777321C212yesmaximal, complemented
2#23777317C212yesmaximal, complemented
3#23777313C211yesmaximal, characteristic, complemented
4#23777311C211yesmaximal, characteristic, complemented
5#23777307C211yesmaximal, characteristic, complemented
6#23777292C214yesmaximal, complemented
7#23777279C212yesmaximal, complemented
8#23777269C212yesmaximal, complemented
9#23777263C212yesmaximal, complemented
10#23777255C212yesmaximal, complemented
11#23777250C212yesmaximal, complemented
12#23777242C212yesmaximal, complemented
13#23777236C214yesmaximal, complemented
14#23777229C214yesmaximal, complemented
15#23776994C214yesmaximal, complemented
16#23776990C214yesmaximal, complemented
17#23776966C212yesmaximal, complemented
18#23776963C212yesmaximal, complemented
19#23776961C212yesmaximal, complemented
20#23776957C212yesmaximal, complemented
21#23776787C214yesmaximal, complemented
22#23776728C212yesmaximal, complemented
23#23776697C212yesmaximal, complemented
24#23776695C212yesmaximal, complemented
25C2×#19099118C211yesmaximal, characteristic, complemented
26#532×D79C211yesmaximal, characteristic, complemented
27#23776600C212yesmaximal, complemented
28C4×#41×D79C211yesmaximal, characteristic, complemented
29C79×#3511C211yesmaximal, characteristic, complemented
30C2×#41×D79C2211yescharacteristic
31C2×#41×D79C2212yes—
32#19099297C2218yescomplemented
33#19099296C2214yescomplemented
34#19099295C2218yescomplemented
35#19099295C2214yescomplemented
36#19099290C2214yescomplemented
37#19099289C2214yescomplemented
38#19099287C2212yescomplemented
39#19099286C2212yescomplemented
40#19099284C2218yescomplemented
41#19099284C2214yescomplemented
42#19099283C2212yescomplemented
43#19099281C2214yescomplemented
44#19099280C2218yescomplemented
45#19099279C2212yescomplemented
46#19099278C2212yescomplemented
47#19099278C2212yescomplemented
48#19099274C2212yescomplemented
49#19099273C2212yescomplemented
50#19099270C2212yescomplemented
51#19099265C2214yescomplemented
52#19099265C2214yescomplemented
53#19099265C2218yescomplemented
54#19099262C2218yescomplemented
55#19099261C2214yescomplemented
56#19099261C2214yescomplemented
57#19099260C2214yescomplemented
58#19099259C2214yescomplemented
59#19099259C2218yescomplemented
60#19099257C2214yescomplemented
61#19099256C2218yescomplemented
62#19099255C2214yescomplemented
63#19099254C2214yescomplemented
64#19099252C2214yescomplemented
65#19099252C2214yescomplemented
66#19099251C2214yescomplemented
67#19099248C2214yescomplemented
68#19099247C2214yescomplemented
69#19099247C2214yescomplemented
70#19099243C2218yescomplemented
71#19099240C2218yescomplemented
72#19099238C2218yescomplemented
73#19099236C2218yescomplemented
74#19099232C2214yescomplemented
75#19099231C2214yescomplemented
76#19099224C2214yescomplemented
77#19099222C2214yescomplemented
78#19099219C2214yescomplemented
79#19099218C2212yescomplemented
80#19099217C2212yescomplemented
81#19099216C2212yescomplemented
82#19099210C2214yescomplemented
83#19099208C2214yescomplemented
84#19099206C2214yescomplemented
85#19099201C2214yescomplemented
86#19099187C2214yescomplemented
87#19099184C2214yescomplemented
88#19099182C2214yescomplemented
89#19099173C2214yescomplemented
90#19099171C2214yescomplemented
91#19099166C2214yescomplemented
92#19099164C2214yescomplemented
93#19099159C2218yescomplemented
94#19099154C2218yescomplemented
95#19099149C2218yescomplemented
96#19099147C2218yescomplemented
97#19099144C2212yescomplemented
98#19099141C2212yescomplemented
99#19099141C2212yescomplemented
100#19099136C2214yes—
101#19099136C2214yescomplemented
102#19099129C2214yes—
103#19099129C2214yescomplemented
104#19099121C2218yes—
105#19099120C2212yescomplemented
106#19099118C2212yescomplemented
107#19099118C2212yescomplemented
108#19099118C2212yescomplemented
109#19099118C2212yescomplemented
110#19099118C2212yescomplemented
111#19099118C2212yescomplemented
112#19099118C2212yescomplemented
113#19099118C2212yescomplemented
114#19099118C2212yescomplemented
115#19099118C2212yescomplemented
116#19099114C2211yescharacteristic
117#19099114C2212yescomplemented
118#19099113C2211yescharacteristic, complemented
119#19099113C2212yescomplemented
120#19099112C2212yes—
121#19099111C2211yescharacteristic
122#19099111C2212yescomplemented
123#19099110C2212yes—
124#19099110C2212yes—
125#19099109C2212yescomplemented
126#19099108C2212yescomplemented
127#19099108C2212yescomplemented
128#19099108C2218yescomplemented
129C2×#14579161C2211yescharacteristic, complemented
130C4⋊Q8×D79C2211yescharacteristic, complemented
131#127×D79C2211yescharacteristic, complemented
132#19099100C2214yescomplemented
133#19099100C2214yescomplemented
134#19099099C2214yescomplemented
135#19099099C2218yescomplemented
136#19099099C2214yescomplemented
137#19099098C2214yescomplemented
138#19099098C2214yescomplemented
139#19099096C2218yescomplemented
140#19099095C2214yescomplemented
141#19099095C2214yescomplemented
142#19099094C2214yescomplemented
143#19099094C2214yescomplemented
144#19099092C2218yescomplemented
145#19099092C2214yescomplemented
146#19099092C2214yescomplemented
147#19099090C2218yescomplemented
148C2×#14579152C2212yescomplemented
149#124×D79C2212yescomplemented
150#19099076C2214yes—
151#19099076C2214yescomplemented
152#19099076C2214yescomplemented
153#19099075C2214yescomplemented
154#19099073C2214yes—
155#19099073C2214yescomplemented
156#19099073C2214yescomplemented
157#19099070C2214yescomplemented
158C2×#14579141C2212yes—
159C2×#14579137C2212yes—
160#121×D79C2212yes—
161#121×D79C2212yes—
162#19099046C2212yescomplemented
163#19099044C2212yescomplemented
164#19099044C2214yescomplemented
165#19099043C2212yescomplemented
166#19099043C2214yescomplemented
167#19099039C2214yescomplemented
168#19099035C2218yes—
169#19099035C2214yescomplemented
170#41×Dic79C2211yescharacteristic, complemented
171#41×Dic79C2214yescomplemented
172C4×#11929625C2211yescharacteristic
173C4×#11929625C2211yescharacteristic
174C4×#11929625C2214yescomplemented
175C4×#11929625C2214yescomplemented
176C4×#11929624C2212yes—
177C4×#11929624C2211yescharacteristic, complemented
178#19099031C2212yes—
179#19099031C2211yescharacteristic, complemented
180#19099031C2214yescomplemented
181C4×#11929623C2211yescharacteristic
182C4×#11929623C2211yescharacteristic
183C4×#11929623C2214yescomplemented
184C4×#11929623C2212yescomplemented
185C4×#11929623C2212yescomplemented
186C4×#11929623C2218yescomplemented
187C4×#11929623C2214yescomplemented
188C2×Q8×Dic79C2212yescomplemented
189C2×#14579126C2212yescomplemented
190C4×Q8×D79C2211yescharacteristic, complemented
191C4×Q8×D79C2211yescharacteristic, complemented
192C4×D4×D79C2212yes—
193C4×D4×D79C2212yes—
194C4×D4×D79C2211yescharacteristic, complemented
195C4×D4×D79C2211yescharacteristic, complemented
196C4×D4×D79C2212yescomplemented
197C4×D4×D79C2212yescomplemented
198C2×#14579119C2212yes—
199C2×#14579119C2214yescomplemented
200#117×D79C2211yescharacteristic
201#117×D79C2212yescomplemented
202#117×D79C2214yescomplemented
203C2×C42×D79C2211yescharacteristic
204C2×C42×D79C2212yescomplemented
205#556×C79C2212yescomplemented
206#555×C79C2212yescomplemented
207#554×C79C2212yescomplemented
208#553×C79C2214yescomplemented
209#548×C79C2214yescomplemented
210#547×C79C2212yescomplemented
211#542×C79C2214yescomplemented
212#537×C79C2212yescomplemented
213#533×C79C2212yescomplemented
214#532×C79C2211yescharacteristic, complemented
215#532×C79C2212yescomplemented
216C2×C4⋊Q8×C79C2211yescharacteristic, complemented
217#520×C79C2212yescomplemented
218C4×#41×C79C2211yescharacteristic, complemented
219C2×#11929625C2311yescharacteristic
220C2×#11929625C2312yes—
221C2×#11929625C2314yes—
222C2×#11929624C2312yes—
223C2×#11929624C2314yes—
224C2×#11929624C2311yescharacteristic
225C2×#11929624C2312yes—
226C2×#11929624C2314yes—
227C2×#11929623C2311yescharacteristic
228C2×#11929623C2312yes—
229C2×#11929623C2312yes—
230C2×#11929623C2314yes—
231C2×#11929623C2314yes—
232#41×D79—28no—
233#41×D79—216no—
234C22×Dic158C2312yes—
235C2×Q8×D79C2312yes—
236C2×Q8×D79C2311yescharacteristic
237C2×D4×D79C2312yes—
238C2×D4×D79C2311yescharacteristic
239C2×D4×D79C2314yes—
240C2×D4×D79C2312yes—
241C2×D4×D79C2312yes—
242C2×D4×D79C2312yes—
243C22×C4×D79C2312yes—
244C22×C4×D79C2314yes—
245C22×C4×D79C2311yescharacteristic
246C22×C4×D79C2311yescharacteristic
247C22×C4×D79C2312yes—
248C22×C4×D79C2312yes—
249C22×C4×D79C2311yescharacteristic
250#14579161C2312yes—
251#14579161C2312yes—
252#14579161C2312yes—
253#14579161C2311yescharacteristic
254#14579161C2312yes—
255#14579160C2318yes—
256#14579160C2312yes—
257#14579160C2312yes—
258#14579159C2312yes—
259#14579158C2311yescharacteristic
260#14579157C2312yes—
261#14579157C2312yes—
262#14579157C2318yes—
263#14579157C2312yes—
264#14579156C2318yes—
265#14579156C2318yes—
266#14579156C2318yes—
267#14579156C2318yes—
268#14579156C2318yes—
269#14579155C2318yes—
270#14579154C2318yes—
271#14579154C2318yes—
272#14579154C2318yes—
273#14579154C2318yes—
274#14579154C2318yes—
275#14579153C2318yes—
276#14579153C2314yes—
277#14579152C2318yes—
278#14579152C2314yes—
279#14579152C2314yes—
280#14579152C2314yes—
281#14579152C2314yes—
282#14579152C2314yes—
283#14579152C2314yes—
284#14579151C2318yes—
285#14579151C2318yes—
286#14579150C2318yes—
287#14579150C2314yes—
288#14579150C2312yes—
289#14579149C2312yes—
290#14579149C2314yes—
291#14579148C2314yes—
292#14579148C2312yes—
293#14579147C2318yes—
294#14579147C2318yes—
295#14579147C2318yes—
296#14579147C2318yes—
297#14579147C2314yes—
298#14579147C2314yes—
299#14579146C2318yes—
300#14579146C2318yes—
301#14579146C2318yes—
302#14579146C2318yes—
303#14579145C2318yes—
304#14579145C2318yes—
305#14579145C2318yes—
306#14579144C2318yes—
307#14579143C2318yes—
308#14579143C2318yes—
309#14579143C2318yes—
310#14579143C2318yes—
311#14579143C2318yes—
312#14579143C2318yes—
313#14579142C2318yes—
314#14579141C2314yes—
315#14579141C2314yes—
316#14579141C2314yes—
317#14579141C2314yes—
318#14579141C2314yes—
319#14579141C2314yes—
320#14579141C2314yes—
321#14579140C2314yes—
322#14579140C2314yes—
323#14579140C2314yes—
324#14579139C2318yes—
325#14579138C2318yes—
326#14579137C2314yes—
327#14579137C2314yes—
328#14579137C2314yes—
329#14579137C2318yes—
330#14579137C2314yes—
331#14579137C2314yes—
332#14579137C2314yes—
333#14579137C2314yes—
334#14579136C2314yes—
335#14579136C2314yes—
336#14579136C2314yes—
337#14579136C2312yes—
338#14579136C2312yes—
339#14579135C2314yes—
340#14579135C2314yes—
341#14579135C2318yes—
342#14579135C2318yes—
343#14579135C2314yes—
344#14579135C2312yes—
345#14579135C2312yes—
346#14579134C2314yes—
347#14579134C2318yes—
348#14579134C2314yes—
349#14579133C2318yes—
350#14579133C2318yes—
351#14579133C2318yes—
352#14579133C2314yes—
353#14579133C2314yes—
354#14579132C2314yes—
355#14579132C2314yes—
356#14579132C2318yes—
357#14579132C2314yes—
358#14579132C2312yes—
359#14579132C2312yes—
360#14579131C2318yes—
361#14579131C2318yes—
362#14579129C2318yes—
363#14579129C2318yes—
364Q8×Dic79C2314yes—
365Q8×Dic79C2314yes—
366Q8×Dic79C2314yes—
367Q8×Dic79C2311yescharacteristic
368Q8×Dic79C2311yescharacteristic
369Q8×Dic79C2314yes—
370Q8×Dic79C2314yes—
371Q8×Dic79C2314yes—
372C4×Dic158C2314yes—
373C4×Dic158C2314yes—
374C4×Dic158C2311yescharacteristic
375C4×Dic158C2311yescharacteristic
376C4×Dic158C2318yes—
377C4×Dic158C2312yes—
378C4×Dic158C2312yes—
379#14579126C2314yes—
380#14579126C2314yes—
381#14579126C2314yes—
382#14579126C2311yescharacteristic
383#14579126C2311yescharacteristic
384#14579126C2312yes—
385#14579126C2314yes—
386#14579126C2312yes—
387#14579126C2314yes—
388#14579126C2314yes—
389#14579126C2318yes—
390C4×D316C2318yes—
391C4×D316C2314yes—
392C4×D316C2312yes—
393C4×D316C2314yes—
394C4×D316C2312yes—
395C4×D316C2311yescharacteristic
396C4×D316C2312yes—
397C4×D316C2311yescharacteristic
398C4×D316C2312yes—
399C4×D316C2318yes—
400D4×Dic79C2314yes—
401D4×Dic79C2314yes—
402D4×Dic79C2318yes—
403D4×Dic79C2318yes—
404D4×Dic79C2312yes—
405D4×Dic79C2311yescharacteristic
406D4×Dic79C2312yes—
407D4×Dic79C2311yescharacteristic
408D4×Dic79C2312yes—
409D4×Dic79C2312yes—
410D4×Dic79C2318yes—
411#14579123C2318yes—
412#14579123C2314yes—
413#14579123C2314yes—
414#14579123C2312yes—
415#14579123C2312yes—
416#14579123C2311yescharacteristic
417#14579123C2311yescharacteristic
418#14579123C2312yes—
419#14579123C2312yes—
420#14579123C2318yes—
421C4×C22⋊D79C2318yes—
422C4×C22⋊D79C2312yes—
423C4×C22⋊D79C2312yes—
424C4×C22⋊D79C2312yes—
425C4×C22⋊D79C2312yes—
426C4×C22⋊D79C2318yes—
427C4×C22⋊D79C2312yes—
428C4×C22⋊D79C2312yes—
429C4×C22⋊D79C2318yes—
430C4×C22⋊D79C2318yes—
431C4×C22⋊D79C2314yes—
432C4×C22⋊D79C2314yes—
433(C22⋊D79)⋊C4C2318yes—
434(C22⋊D79)⋊C4C2318yes—
435(C22⋊D79)⋊C4C2318yes—
436(C22⋊D79)⋊C4C2312yes—
437(C22⋊D79)⋊C4C2312yes—
438(C22⋊D79)⋊C4C2318yes—
439(C22⋊D79)⋊C4C2312yes—
440(C22⋊D79)⋊C4C2312yes—
441(C22⋊D79)⋊C4C2312yes—
442(C22⋊D79)⋊C4C2312yes—
443(C22⋊D79)⋊C4C2314yes—
444(C22⋊D79)⋊C4C2314yes—
445(C22⋊D79)⋊C4C2318yes—
446(C22⋊D79)⋊C4C2318yes—
447#14579120C2312yes—
448#14579120C2318yes—
449#14579120C2314yes—
450#14579120C2314yes—
451#14579120C2311yescharacteristic
452#14579119C2314yes—
453#14579119C2314yes—
454#14579119C2318yes—
455#14579119C2318yes—
456#14579119C2314yes—
457#14579119C2314yes—
458#14579119C2314yes—
459#14579119C2314yes—
460#14579119C2311yescharacteristic
461#14579119C2311yescharacteristic
462#14579119C2314yes—
463#14579119C2312yes—
464#14579119C2312yes—
465#14579119C2314yes—
466#14579119C2318yes—
467#14579118C2312yes—
468#14579118C2312yes—
469#14579118C2318yes—
470#14579118C2318yes—
471#14579118C2312yes—
472#14579117C2318yes—
473#14579117C2312yes—
474#14579117C2312yes—
475#14579117C2312yes—
476#14579117C2318yes—
477C2×C4⋊Dic79C2312yes—
478C2×C4⋊Dic79C2314yes—
479C2×C4⋊Dic79C2312yes—
480C2×C4⋊Dic79C2314yes—
481C2×Dic79⋊C4C2314yes—
482C4⋊C4×D79C2312yes—
483C4⋊C4×D79C2312yes—
484C4⋊C4×D79C2314yes—
485C4⋊C4×D79C2314yes—
486C4⋊C4×D79C2312yes—
487C4⋊C4×D79C2312yes—
488C4⋊C4×D79C2311yescharacteristic
489C4⋊C4×D79C2311yescharacteristic
490C2×(C2×D79)⋊C4C2318yes—
491C2×(C2×D79)⋊C4C2314yes—
492C22⋊C4×D79C2312yes—
493C22⋊C4×D79C2312yes—
494C22⋊C4×D79C2318yes—
495C22⋊C4×D79C2314yes—
496C22⋊C4×D79C2314yes—
497C22⋊C4×D79C2312yes—
498C2×C4×Dic79C2311yescharacteristic
499C2×C4×Dic79C2311yescharacteristic
500C2×C4×Dic79C2311yescharacteristic
501C2×C4×Dic79C2312yes—
502C2×C4×Dic79C2312yes—
503C2×C4×Dic79C2312yes—
504C2×C4×Dic79C2314yes—
505C2×C4×Dic79C2318yes—
506C42×D79C2311yescharacteristic
507C42×D79C2311yescharacteristic
508C42×D79C2311yescharacteristic
509C42×D79C2311yescharacteristic
510C42×D79C2311yescharacteristic
511C42×D79C2311yescharacteristic
512C42×D79C2311yescharacteristic
513C42×D79C2311yescharacteristic
514C42×D79C2312yes—
515C42×D79C2312yes—
516C42×D79C2312yes—
517C42×D79C2312yes—
518C42×D79C2312yes—
519C42×D79C2312yes—
520C42×D79C2312yes—
521C42×D79C2318yes—
522C2×#41×C79C2311yescharacteristic
523C2×#41×C79C2312yes—
524C2×#41×C79C2314yes—
525C22×Q8×C79C2312yes—
526C4⋊Q8×C79C2312yes—
527C4⋊Q8×C79C2312yes—
528C4⋊Q8×C79C2312yes—
529C4⋊Q8×C79C2312yes—
530C4⋊Q8×C79C2311yescharacteristic
531#127×C79C2311yescharacteristic
532#126×C79C2318yes—
533#125×C79C2314yes—
534#124×C79C2318yes—
535#124×C79C2312yes—
536#124×C79C2314yes—
537#123×C79C2318yes—
538C22⋊Q8×C79C2314yes—
539C22⋊Q8×C79C2314yes—
540C22⋊Q8×C79C2318yes—
541C22⋊Q8×C79C2314yes—
542#121×C79C2314yes—
543#121×C79C2314yes—
544#121×C79C2312yes—
545#121×C79C2312yes—
546#121×C79C2318yes—
547#121×C79C2314yes—
548C4×Q8×C79C2314yes—
549C4×Q8×C79C2311yescharacteristic
550C4×Q8×C79C2311yescharacteristic
551C4×Q8×C79C2314yes—
552C4×D4×C79C2314yes—
553C4×D4×C79C2314yes—
554C4×D4×C79C2312yes—
555C4×D4×C79C2311yescharacteristic
556C4×D4×C79C2312yes—
557C4×D4×C79C2312yes—
558C4×D4×C79C2311yescharacteristic
559C4×D4×C79C2318yes—
560C4×D4×C79C2312yes—
561#117×C79C2312yes—
562#117×C79C2311yescharacteristic
563#117×C79C2314yes—
564#117×C79C2314yes—
565C2×C4⋊C4×C79C2312yes—
566C2×C4⋊C4×C79C2314yes—
567C2×C4⋊C4×C79C2312yes—
568C2×C42×C79C2311yescharacteristic
569C2×C42×C79C2312yes—
570C23×D79C2414yes—
571C23×D79C2412yes—
572C23×D79C2411yescharacteristic
573#11929625—24no—
574#11929625—28no—
575#11929625—48no—
576#11929624—28no—
577#11929624—216no—
578#11929624—24no—
579#11929624—28no—
580#11929624—48no—
581#11929623—28no—
582#11929623—216no—
583#11929623—24no—
584#11929623—28no—
585#11929623—48no—
586C2×Dic158—44no—
587C2×Dic158C2411yescharacteristic
588C2×Dic158C2412yes—
589C2×Dic158C2414yes—
590C2×Dic158C2412yes—
591C2×Dic158C2414yes—
592C2×Dic158C2414yes—
593Q8×D79—28no—
594Q8×D79—24no—
595C2×D316C2412yes—
596C2×D316C2412yes—
597C2×D316C2414yes—
598C2×D316C2411yescharacteristic
599C2×D316C2412yes—
600C2×D316C2412yes—
601C2×D316C2418yes—
602C2×C22⋊D79C2412yes—
603C2×C22⋊D79C2414yes—
604C2×C22⋊D79C2412yes—
605C2×C22⋊D79C2414yes—
606C2×C22⋊D79C2412yes—
607C2×C22⋊D79C2414yes—
608C2×C22⋊D79C2418yes—
609C2×C22⋊D79C2418yes—
610C2×C22⋊D79C2414yes—
611C2×C22⋊D79C2414yes—
612D4×D79—24no—
613D4×D79—28no—
614D4×D79—28no—
615D4×D79—216no—
616D4×D79—44no—
617D4×D79—44no—
618C22×Dic79C2412yes—
619C22×Dic79C2414yes—
620C22×Dic79C2414yes—
621C22×Dic79C2418yes—
622C22×Dic79C2411yescharacteristic
623C22×Dic79C2411yescharacteristic
624C22×Dic79C2412yes—
625C22×Dic79C2412yes—
626C22×Dic79C2411yescharacteristic
627C2×C4×D79—28no—
628C2×C4×D79—216no—
629C2×C4×D79—42no—
630C2×C4×D79—44no—
631C2×C4×D79—42no—
632C2×C4×D79—44no—
633C2×C4×D79#4118yescomplemented
634C2×C4×D79C2412yes—
635C2×C4×D79C2414yes—
636C2×C4×D79C2412yes—
637C2×C4×D79C2412yes—
638C2×C4×D79C2414yes—
639C2×C4×D79C2412yes—
640C2×C4×D79C2414yes—
641C2×C4×D79C2412yes—
642C2×C4×D79C2411yescharacteristic
643C2×C4×D79C2411yescharacteristic
644C2×C4×D79C2411yescharacteristic
645C2×C4×D79C2411yescharacteristic
646C2×C4×D79C2418yes—
647C2×C4×D79C2418yes—
648C2×C4×D79C2411yescharacteristic
649C2×C4×D79C2411yescharacteristic
650C2×C4×D79C2412yes—
651C2×C4×D79C2412yes—
652C2×C4×D79C2411yescharacteristic
653C2×C4×D79C2411yescharacteristic
654C2×C4×D79C2412yes—
655C2×C4×D79C2412yes—
656C2×C4×D79C2411yescharacteristic
657C2×C4×D79C2411yescharacteristic
658C2×C4×D79C2411yescharacteristic
659C2×C4×D79C2411yescharacteristic
660C4⋊Dic79C2411yescharacteristic
661C4⋊Dic79C2411yescharacteristic
662C4⋊Dic79C2414yes—
663C4⋊Dic79C2412yes—
664C4⋊Dic79C2412yes—
665C4⋊Dic79C2412yes—
666C4⋊Dic79C2412yes—
667C4⋊Dic79C2414yes—
668C4⋊Dic79C2418yes—
669C4⋊Dic79C2414yes—
670C4⋊Dic79C2418yes—
671C4⋊Dic79C2418yes—
672C4⋊Dic79C2414yes—
673C4⋊Dic79C2418yes—
674Dic79⋊C4C2412yes—
675Dic79⋊C4C2418yes—
676Dic79⋊C4C2412yes—
677Dic79⋊C4C2412yes—
678Dic79⋊C4C2412yes—
679Dic79⋊C4C2412yes—
680Dic79⋊C4C2412yes—
681Dic79⋊C4C2418yes—
682Dic79⋊C4C2414yes—
683Dic79⋊C4C2414yes—
684Dic79⋊C4C2418yes—
685Dic79⋊C4C2418yes—
686Dic79⋊C4C2418yes—
687Dic79⋊C4C2418yes—
688C22⋊Dic79C2414yes—
689C22⋊Dic79C2412yes—
690C22⋊Dic79C2412yes—
691C22⋊Dic79C2418yes—
692C22⋊Dic79C2412yes—
693C22⋊Dic79C2414yes—
694C22⋊Dic79C2418yes—
695C22⋊Dic79C2418yes—
696(C2×D79)⋊C4C2412yes—
697(C2×D79)⋊C4C2412yes—
698(C2×D79)⋊C4C2418yes—
699(C2×D79)⋊C4C2414yes—
700(C2×D79)⋊C4C2412yes—
701(C2×D79)⋊C4C2412yes—
702(C2×D79)⋊C4C2412yes—
703(C2×D79)⋊C4C2412yes—
704(C2×D79)⋊C4C2414yes—
705(C2×D79)⋊C4C2414yes—
706(C2×D79)⋊C4C2414yes—
707(C2×D79)⋊C4C2418yes—
708(C2×D79)⋊C4C2418yes—
709(C2×D79)⋊C4C2418yes—
710(C2×D79)⋊C4C2418yes—
711(C2×D79)⋊C4C2418yes—
712(C2×D79)⋊C4C2418yes—
713(C2×D79)⋊C4C2418yes—
714C4×Dic79C2412yes—
715C4×Dic79C2411yescharacteristic
716C4×Dic79C2411yescharacteristic
717C4×Dic79C2411yescharacteristic
718C4×Dic79C2412yes—
719C4×Dic79C2412yes—
720C4×Dic79C2411yescharacteristic
721C4×Dic79C2411yescharacteristic
722C4×Dic79C2412yes—
723C4×Dic79C2412yes—
724C4×Dic79C2411yescharacteristic
725C4×Dic79C2412yes—
726C4×Dic79C2412yes—
727C4×Dic79C2411yescharacteristic
728C4×Dic79C2411yescharacteristic
729C4×Dic79C2411yescharacteristic
730C4×Dic79C2411yescharacteristic
731C4×Dic79C2412yes—
732C4×Dic79C2412yes—
733C4×Dic79C2411yescharacteristic
734C4×Dic79C2411yescharacteristic
735C4×Dic79C2418yes—
736C4×Dic79C2418yes—
737C4×Dic79C2418yes—
738C4×Dic79C2418yes—
739C4×Dic79C2418yes—
740#41×C79—24no—
741#41×C79—28no—
742#41×C79—48no—
743C2×Q8×C79—44no—
744C2×Q8×C79C2411yescharacteristic
745C2×Q8×C79C2412yes—
746C2×Q8×C79C2414yes—
747C2×Q8×C79C2414yes—
748C2×D4×C79C2412yes—
749C2×D4×C79C2411yescharacteristic
750C2×D4×C79C2412yes—
751C2×D4×C79C2414yes—
752C2×D4×C79C2412yes—
753C2×D4×C79C2412yes—
754C2×D4×C79C2418yes—
755C22×C4×C79C2411yescharacteristic
756C22×C4×C79C2412yes—
757C22×C4×C79C2412yes—
758C22×C4×C79C2414yes—
759C22×C4×C79C2411yescharacteristic
760C22×C4×C79C2412yes—
761C22×C4×C79C2414yes—
762C22×C4×C79C2418yes—
763C22×C4×C79C2411yescharacteristic
764C4⋊C4×C79C2411yescharacteristic
765C4⋊C4×C79C2414yes—
766C4⋊C4×C79C2414yes—
767C4⋊C4×C79C2414yes—
768C4⋊C4×C79C2418yes—
769C4⋊C4×C79C2414yes—
770C4⋊C4×C79C2411yescharacteristic
771C4⋊C4×C79C2412yes—
772C4⋊C4×C79C2412yes—
773C4⋊C4×C79C2412yes—
774C4⋊C4×C79C2412yes—
775C4⋊C4×C79C2418yes—
776C22⋊C4×C79C2412yes—
777C22⋊C4×C79C2418yes—
778C22⋊C4×C79C2412yes—
779C22⋊C4×C79C2412yes—
780C22⋊C4×C79C2418yes—
781C22⋊C4×C79C2418yes—
782C22⋊C4×C79C2414yes—
783C22⋊C4×C79C2414yes—
784C42×C79C2411yescharacteristic
785C42×C79C2412yes—
786C42×C79C2411yescharacteristic
787C42×C79C2412yes—
788C42×C79C2411yescharacteristic
789C42×C79C2411yescharacteristic
790C42×C79C2412yes—
791C42×C79C2418yes—
792C23×C79C2512yes—
793C23×C79C2514yes—
794C23×C79C2511yescharacteristic
795C22×D79—24no—
796C22×D79—28no—
797C22×D79—41no—
798C22×D79—41no—
799C22×D79—42no—
800C22×D79—42no—
801C22×D79—44no—
802C22×D79—44no—
803C22×D79C2×#4114yes—
804C22×D79C2512yes—
805C22×D79C2514yes—
806C22×D79C2511yescharacteristic
807C22×D79C2511yescharacteristic
808Q8×C79—22no—
809Q8×C79—24no—
810Q8×C79—28no—
811Q8×C79—44no—
812D4×C79—24no—
813D4×C79—28no—
814D4×C79—22no—
815D4×C79—24no—
816D4×C79—24no—
817D4×C79—24no—
818D4×C79—48no—
819C2×C4×C79—28no—
820C2×C4×C79—24no—
821C2×C4×C79—22no—
822C2×C4×C79—24no—
823C2×C4×C79—22no—
824C2×C4×C79—24no—
825C2×C4×C79—44no—
826C2×C4×C79—48no—
827C2×C4×C79C2×#4114yes—
828C2×C4×C79C2512yes—
829C2×C4×C79C2518yes—
830C2×C4×C79C2511yescharacteristic
831C2×C4×C79C2511yescharacteristic
832C2×C4×C79C2512yes—
833C2×C4×C79C2514yes—
834C2×C4×C79C2512yes—
835C2×C4×C79C2511yescharacteristic
836C2×C4×C79C2511yescharacteristic
837C2×C4×C79C2511yescharacteristic
838C2×C4×C79C2511yescharacteristic
839C22⋊D79—24no—
840C22⋊D79—28no—
841C22⋊D79—28no—
842C22⋊D79—24no—
843C22⋊D79—24no—
844C22⋊D79—28no—
845C22⋊D79—44no—
846C22⋊D79—44no—
847C22⋊D79—48no—
848C22⋊D79—48no—
849C2×Dic79—24no—
850C2×Dic79—28no—
851C2×Dic79—41no—
852C2×Dic79—41no—
853C2×Dic79—42no—
854C2×Dic79—42no—
855C2×Dic79—44no—
856C2×Dic79—48no—
857C2×Dic79C2×#4114yes—
858C2×Dic79C2512yes—
859C2×Dic79C2511yescharacteristic
860C2×Dic79C2511yescharacteristic
861C2×Dic79C2512yes—
862C2×Dic79C2518yes—
863C2×Dic79C2512yes—
864C2×Dic79C2514yes—
865C2×Dic79C2511yescharacteristic
866C2×Dic79C2511yescharacteristic
867C2×Dic79C2511yescharacteristic
868C2×Dic79C2511yescharacteristic
869D316—28no—
870D316—24no—
871D316—22no—
872D316—24no—
873D316—24no—
874D316—24no—
875D316—48no—
876C4×D79—24no—
877C4×D79—28no—
878C4×D79—28no—
879C4×D79—24no—
880C4×D79—22no—
881C4×D79—22no—
882C4×D79—22no—
883C4×D79—22no—
884C4×D79—24no—
885C4×D79—24no—
886C4×D79—24no—
887C4×D79—28no—
888C4×D79—41no—
889C4×D79—41no—
890C4×D79—42no—
891C4×D79—42no—
892C4×D79—41no—
893C4×D79—41no—
894C4×D79—42no—
895C4×D79—42no—
896C4×D79—48no—
897C4×D79—48no—
898C4×D79C2×#4114yes—
899C4×D79C2×#4114yes—
900C4×D79C2×#4114yes—
901C4×D79C2×#4114yes—
902Dic158—22no—
903Dic158—24no—
904Dic158—28no—
905Dic158—28no—
906Dic158—24no—
907Dic158—44no—
908C22×C79—21no—
909C22×C79—21no—
910C22×C79—22no—
911C22×C79—24no—
912C22×C79—22no—
913C22×C79—24no—
914C22×C79—24no—
915C22×C79—22no—
916C22×C79C22×#4112yes—
917C22×C79C2611yescharacteristic
918C2×D79—21no—
919C2×D79—21no—
920C2×D79—21no—
921C2×D79—21no—
922C2×D79—22no—
923C2×D79—24no—
924C2×D79—22no—
925C2×D79—24no—
926C2×D79—24no—
927C2×D79—22no—
928C2×D79—44no—
929C2×D79—48no—
930C2×D79—88no—
931C2×D79C22×#4112yes—
932C2×D79C22×#4112yes—
933C4×C79—24no—
934C4×C79—22no—
935C4×C79—22no—
936C4×C79—21no—
937C4×C79—21no—
938C4×C79—22no—
939C4×C79—28no—
940C4×C79C22×#4112yes—
941C4×C79C22×#4112yes—
942C4×C79#58512yes—
943C4×C79#58512yes—
944Dic79—24no—
945Dic79—22no—
946Dic79—21no—
947Dic79—21no—
948Dic79—28no—
949Dic79—22no—
950Dic79—21no—
951Dic79—21no—
952Dic79—22no—
953Dic79C22×#4112yes—
954Dic79C22×#4112yes—
955#62815—791nomaximal, Sylow
956C2×C79—22no—
957C2×C79—42no—
958C2×C79—44no—
959C2×C79C23×#4111yescharacteristic
960C2×C79C2×#58511yescharacteristic
961C2×C79C2×#58511yescharacteristic
962D79—22no—
963D79—22no—
964D79—42no—
965D79—44no—
966#3512—792no—
967#3512—792no—
968#3511—791no—
969#3511—791no—
970#3511—791no—
971#3511D7911yescharacteristic, complemented
972#3510—794no—
973#3509—792no—
974#3508—792no—
975#3507—792no—
976#3507—792no—
977#3506—792no—
978#3506—792no—
979#3505—794no—
980#3505—794no—
981#3480—794no—
982#3480—794no—
983#3475—792no—
984#3475—792no—
985#3475—792no—
986#3475—792no—
987#3455—794no—
988#3449—792no—
989#3444—792no—
990#3444—792no—
991C2×#533—791no—
992C2×#532—791no—
993#3428—792no—
994C2×C4×#41—791no—
995C79#6281511yescharacteristic, complemented, Sylow
996C22×#41—791no—
997C22×#41—792no—
998#559—798no—
999#559—794no—
1000#559—798no—
1001#559—794no—
1002#557—794no—
1003#557—794no—
1004#556—792no—
1005#556—798no—
1006#556—794no—
1007#556—798no—
1008#556—792no—
1009#556—792no—
1010#556—794no—
1011#556C2×D7912yescomplemented
1012#555—792no—
1013#555—792no—
1014#555—792no—
1015#555C2×D7912yescomplemented
1016#554—792no—
1017#554—792no—
1018#554—792no—
1019#554C2×D7912yescomplemented
1020#553—798no—
1021#553—794no—
1022#553—794no—
1023#553—794no—
1024#553—798no—
1025#553—794no—
1026#553—798no—
1027#553—798no—
1028#553—794no—
1029#553—794no—
1030#553—794no—
1031#553C2×D7914yescomplemented
1032#552—794no—
1033#552—794no—
1034#552—794no—
1035#552—794no—
1036#552—794no—
1037#552—794no—
1038#552—794no—
1039#552—794no—
1040#551—798no—
1041#551—798no—
1042#551—798no—
1043#551—798no—
1044#550—794no—
1045#550—794no—
1046#548—794no—
1047#548—794no—
1048#548—794no—
1049#548C2×D7914yescomplemented
1050#547—792no—
1051#547—792no—
1052#547—792no—
1053#547C2×D7912yescomplemented
1054#546—794no—
1055#546—794no—
1056#546—794no—
1057#546—794no—
1058#542—794no—
1059#542—794no—
1060#542—794no—
1061#542C2×D7914yescomplemented
1062#541—794no—
1063#541—794no—
1064#540—794no—
1065#540—794no—
1066#539—798no—
1067#539—798no—
1068#538—798no—
1069#538—798no—
1070#537—792no—
1071#537—792no—
1072#537—792no—
1073#537C2×D7912yescomplemented
1074#536—794no—
1075#536—794no—
1076#535—794no—
1077#535—794no—
1078#534—798no—
1079#533—792no—
1080#533—792no—
1081#533—792no—
1082#533—792no—
1083#533—792no—
1084#533—792no—
1085#533—792no—
1086#533—792no—
1087#533—792no—
1088#533—792no—
1089#533—792no—
1090#533C2×D7912yescomplemented
1091#532—792no—
1092#532—791no—
1093#532—792no—
1094#532—791no—
1095#532—792no—
1096#532—792no—
1097#532—792no—
1098#532—792no—
1099#532—798no—
1100#532—792no—
1101#532—792no—
1102#532—791no—
1103#532—792no—
1104#532C2×D7911yescharacteristic, complemented
1105#532C2×D7912yescomplemented
1106C2×C4⋊Q8—791no—
1107C2×C4⋊Q8—791no—
1108C2×C4⋊Q8C2×D7911yescharacteristic, complemented
1109C2×#127—791no—
1110#529—798no—
1111#529—794no—
1112#529—794no—
1113#529—794no—
1114#529—794no—
1115#529—798no—
1116#529—798no—
1117#529—794no—
1118#529—794no—
1119#529—798no—
1120#529—794no—
1121#529—794no—
1122#529—794no—
1123#529—794no—
1124#529—794no—
1125#529—794no—
1126C2×#125—792no—
1127C2×#124—792no—
1128#525—794no—
1129#525—794no—
1130#525—794no—
1131#525—794no—
1132#525—794no—
1133#525—794no—
1134#525—794no—
1135#525—794no—
1136C2×C22⋊Q8—792no—
1137C2×C22⋊Q8—792no—
1138C2×#121—792no—
1139C2×#121—792no—
1140#520—792no—
1141#520—794no—
1142#520—792no—
1143#520—794no—
1144#520—792no—
1145#520C2×D7912yescomplemented
1146#519—794no—
1147#518—798no—
1148#518—794no—
1149C4×#41—791no—
1150C4×#41—794no—
1151C4×#41—791no—
1152C4×#41—791no—
1153C4×#41—794no—
1154C4×#41—794no—
1155C4×#41—791no—
1156C4×#41—791no—
1157C4×#41—792no—
1158C4×#41—792no—
1159C4×#41—794no—
1160C4×#41—798no—
1161C4×#41—794no—
1162C4×#41—792no—
1163C4×#41—791no—
1164C4×#41—794no—
1165C4×#41—792no—
1166C4×#41—791no—
1167C4×#41C2×D7911yescharacteristic, complemented
1168C2×C4×Q8—792no—
1169C2×C4×Q8—791no—
1170C2×C4×Q8—791no—
1171C2×C4×Q8—792no—
1172C2×C4×D4—792no—
1173C2×C4×D4—792no—
1174C2×C4×D4—791no—
1175C2×C4×D4—791no—
1176C2×C4×D4—792no—
1177C2×C4×D4—792no—
1178C2×#117—791no—
1179C2×#117—792no—
1180C2×#117—794no—
1181C2×#117—792no—
1182C2×#117—794no—
1183C22×C42—791no—
1184C22×C42—792no—
1185C2×#41—794no—
1186C2×#41—791no—
1187C2×#41—792no—
1188C2×#41—794no—
1189C2×#41—791no—
1190C2×#41—792no—
1191C2×#41—792no—
1192C2×#41—794no—
1193C2×#41—794no—
1194C2×#41—792no—
1195C2×#41—791no—
1196C2×#41—794no—
1197C2×#41—792no—
1198C2×#41—1588no—
1199C2×#41—15816no—
1200C2×#41C22×D7911yescharacteristic
1201C2×#41C22×D7912yes—
1202C2×#41C22×D7914yes—
1203C22×Q8—791no—
1204C22×Q8—792no—
1205C22×Q8—792no—
1206C22×Q8C22×D7912yes—
1207C22×D4—792no—
1208C22×D4—792no—
1209C22×D4—792no—
1210C22×D4—791no—
1211C22×D4—794no—
1212C22×D4—792no—
1213C23×C4—791no—
1214C23×C4—791no—
1215C23×C4—792no—
1216C23×C4—792no—
1217C23×C4—791no—
1218C23×C4—794no—
1219C23×C4—792no—
1220C4⋊Q8—792no—
1221C4⋊Q8—792no—
1222C4⋊Q8—792no—
1223C4⋊Q8—798no—
1224C4⋊Q8—791no—
1225C4⋊Q8—792no—
1226C4⋊Q8—792no—
1227C4⋊Q8—792no—
1228C4⋊Q8—792no—
1229C4⋊Q8C22×D7911yescharacteristic
1230C4⋊Q8C22×D7912yes—
1231C4⋊Q8C22×D7912yes—
1232C4⋊Q8C22×D7912yes—
1233C4⋊Q8C22×D7912yes—
1234#127—792no—
1235#127—792no—
1236#127—792no—
1237#127—798no—
1238#127—791no—
1239#127C22×D7911yescharacteristic
1240#126—798no—
1241#126—798no—
1242#126—798no—
1243#126—798no—
1244#126—798no—
1245#126—798no—
1246#126—798no—
1247#126—798no—
1248#126—798no—
1249#126—798no—
1250#126—798no—
1251#126C22×D7918yes—
1252#125—794no—
1253#125—794no—
1254#125—794no—
1255#125—794no—
1256#125—794no—
1257#125—794no—
1258#125—798no—
1259#125—798no—
1260#125—798no—
1261#125—794no—
1262#125—798no—
1263#125C22×D7914yes—
1264#124—792no—
1265#124—794no—
1266#124—798no—
1267#124—792no—
1268#124—794no—
1269#124—794no—
1270#124—794no—
1271#124—798no—
1272#124—798no—
1273#124—798no—
1274#124—798no—
1275#124—792no—
1276#124—794no—
1277#124C22×D7912yes—
1278#124C22×D7914yes—
1279#124C22×D7918yes—
1280#123—798no—
1281#123—798no—
1282#123—798no—
1283#123—798no—
1284#123—798no—
1285#123—798no—
1286#123—798no—
1287#123—798no—
1288#123—798no—
1289#123—798no—
1290#123—798no—
1291#123—798no—
1292#123—798no—
1293#123—798no—
1294#123—798no—
1295#123C22×D7918yes—
1296C22⋊Q8—794no—
1297C22⋊Q8—794no—
1298C22⋊Q8—794no—
1299C22⋊Q8—794no—
1300C22⋊Q8—794no—
1301C22⋊Q8—794no—
1302C22⋊Q8—794no—
1303C22⋊Q8—798no—
1304C22⋊Q8—794no—
1305C22⋊Q8—794no—
1306C22⋊Q8—794no—
1307C22⋊Q8—794no—
1308C22⋊Q8—794no—
1309C22⋊Q8—794no—
1310C22⋊Q8—794no—
1311C22⋊Q8—794no—
1312C22⋊Q8—794no—
1313C22⋊Q8—794no—
1314C22⋊Q8—798no—
1315C22⋊Q8—798no—
1316C22⋊Q8C22×D7914yes—
1317C22⋊Q8C22×D7914yes—
1318C22⋊Q8C22×D7914yes—
1319C22⋊Q8C22×D7918yes—
1320#121—792no—
1321#121—792no—
1322#121—794no—
1323#121—794no—
1324#121—794no—
1325#121—794no—
1326#121—794no—
1327#121—798no—
1328#121—798no—
1329#121—798no—
1330#121—798no—
1331#121—792no—
1332#121—792no—
1333#121—794no—
1334#121—794no—
1335#121—794no—
1336#121—798no—
1337#121—798no—
1338#121—792no—
1339#121—792no—
1340#121—794no—
1341#121—794no—
1342#121—794no—
1343#121—794no—
1344#121—794no—
1345#121—798no—
1346#121C22×D7912yes—
1347#121C22×D7912yes—
1348#121C22×D7914yes—
1349#121C22×D7914yes—
1350#121C22×D7914yes—
1351#121C22×D7918yes—
1352#120—798no—
1353#120—798no—
1354#120—798no—
1355#120—798no—
1356C4×Q8—794no—
1357C4×Q8—791no—
1358C4×Q8—791no—
1359C4×Q8—794no—
1360C4×Q8—794no—
1361C4×Q8—794no—
1362C4×Q8—794no—
1363C4×Q8—794no—
1364C4×Q8—794no—
1365C4×Q8—791no—
1366C4×Q8—791no—
1367C4×Q8—792no—
1368C4×Q8—792no—
1369C4×Q8—794no—
1370C4×Q8—794no—
1371C4×Q8—794no—
1372C4×Q8—794no—
1373C4×Q8—798no—
1374C4×Q8—794no—
1375C4×Q8—791no—
1376C4×Q8—791no—
1377C4×Q8—792no—
1378C4×Q8—792no—
1379C4×Q8—794no—
1380C4×Q8—798no—
1381C4×Q8—794no—
1382C4×Q8C22×D7911yescharacteristic
1383C4×Q8C22×D7911yescharacteristic
1384C4×Q8C22×D7914yes—
1385C4×Q8C22×D7914yes—
1386C4×D4—792no—
1387C4×D4—792no—
1388C4×D4—792no—
1389C4×D4—792no—
1390C4×D4—791no—
1391C4×D4—791no—
1392C4×D4—794no—
1393C4×D4—798no—
1394C4×D4—798no—
1395C4×D4—798no—
1396C4×D4—794no—
1397C4×D4—792no—
1398C4×D4—792no—
1399C4×D4—792no—
1400C4×D4—792no—
1401C4×D4—792no—
1402C4×D4—792no—
1403C4×D4—794no—
1404C4×D4—794no—
1405C4×D4—798no—
1406C4×D4—798no—
1407C4×D4—798no—
1408C4×D4—798no—
1409C4×D4—792no—
1410C4×D4—792no—
1411C4×D4—792no—
1412C4×D4—792no—
1413C4×D4—791no—
1414C4×D4—791no—
1415C4×D4—798no—
1416C4×D4—794no—
1417C4×D4—798no—
1418C4×D4—794no—
1419C4×D4—792no—
1420C4×D4—792no—
1421C4×D4—792no—
1422C4×D4—792no—
1423C4×D4—792no—
1424C4×D4—792no—
1425C4×D4—794no—
1426C4×D4—794no—
1427C4×D4—798no—
1428C4×D4—798no—
1429C4×D4—798no—
1430C4×D4—798no—
1431C4×D4—798no—
1432C4×D4—798no—
1433C4×D4—792no—
1434C4×D4—792no—
1435C4×D4—791no—
1436C4×D4—791no—
1437C4×D4—792no—
1438C4×D4—792no—
1439C4×D4—798no—
1440C4×D4—794no—
1441C4×D4—798no—
1442C4×D4—794no—
1443C4×D4C22×D7911yescharacteristic
1444C4×D4C22×D7911yescharacteristic
1445C4×D4C22×D7912yes—
1446C4×D4C22×D7912yes—
1447C4×D4C22×D7912yes—
1448C4×D4C22×D7912yes—
1449C4×D4C22×D7914yes—
1450C4×D4C22×D7918yes—
1451C4×D4C22×D7914yes—
1452#117—791no—
1453#117—792no—
1454#117—794no—
1455#117—794no—
1456#117—798no—
1457#117—791no—
1458#117—791no—
1459#117—794no—
1460#117—794no—
1461#117—792no—
1462#117—792no—
1463#117—798no—
1464#117—794no—
1465#117—798no—
1466#117—794no—
1467#117—794no—
1468#117—794no—
1469#117—794no—
1470#117—794no—
1471#117—798no—
1472#117—792no—
1473#117—792no—
1474#117—792no—
1475#117—798no—
1476#117—798no—
1477#117—792no—
1478#117—792no—
1479#117—792no—
1480#117—798no—
1481#117—798no—
1482#117C22×D7911yescharacteristic
1483#117C22×D7912yes—
1484#117C22×D7914yes—
1485#117C22×D7914yes—
1486C2×C4⋊C4—792no—
1487C2×C4⋊C4—794no—
1488C2×C4⋊C4—794no—
1489C2×C4⋊C4—794no—
1490C2×C4⋊C4—792no—
1491C2×C4⋊C4—791no—
1492C2×C4⋊C4—791no—
1493C2×C4⋊C4—792no—
1494C2×C4⋊C4—792no—
1495C2×C4⋊C4—794no—
1496C2×C4⋊C4—794no—
1497C2×C4⋊C4—792no—
1498C2×C4⋊C4—792no—
1499C2×C4⋊C4C22×D7912yes—
1500C2×C4⋊C4C22×D7914yes—
1501C2×C4⋊C4C22×D7912yes—
1502C2×C22⋊C4—794no—
1503C2×C22⋊C4—798no—
1504C2×C22⋊C4—792no—
1505C2×C22⋊C4—792no—
1506C2×C22⋊C4—792no—
1507C2×C22⋊C4—798no—
1508C2×C22⋊C4—794no—
1509C2×C22⋊C4—794no—
1510C2×C42—794no—
1511C2×C42—798no—
1512C2×C42—791no—
1513C2×C42—791no—
1514C2×C42—792no—
1515C2×C42—792no—
1516C2×C42—791no—
1517C2×C42—792no—
1518C2×C42—792no—
1519C2×C42—791no—
1520C2×C42—798no—
1521C2×C42—791no—
1522C2×C42—791no—
1523C2×C42—792no—
1524C2×C42—792no—
1525C2×C42—791no—
1526C2×C42—791no—
1527C2×C42—792no—
1528C2×C42—792no—
1529C2×C42—791no—
1530C2×C42—792no—
1531C2×C42—791no—
1532C2×C42—792no—
1533C2×C42—791no—
1534C2×C42C22×D7911yescharacteristic
1535C2×C42C22×D7912yes—
1536C24—791no—
1537C24—794no—
1538C24—792no—
1539#41—24no—
1540#41—28no—
1541#41—48no—
1542#41—3168no—
1543#41—3168no—
1544#41—3168no—
1545#41—1588no—
1546#41—15816no—
1547#41—1588no—
1548#41—15816no—
1549#41—1584no—
1550#41—1588no—
1551#41—1584no—
1552#41—1588no—
1553#41—1584no—
1554#41—1588no—
1555C2×Q8—44no—
1556C2×Q8—3164no—
1557C2×Q8—794no—
1558C2×Q8—791no—
1559C2×Q8—794no—
1560C2×Q8—792no—
1561C2×Q8—792no—
1562C2×Q8—794no—
1563C2×Q8—1588no—
1564C2×Q8—1584no—
1565C2×Q8C23×D7914yes—
1566C2×Q8C23×D7911yescharacteristic
1567C2×Q8C23×D7912yes—
1568C2×Q8C23×D7914yes—
1569C2×D4—3164no—
1570C2×D4—3164no—
1571C2×D4—798no—
1572C2×D4—798no—
1573C2×D4—794no—
1574C2×D4—794no—
1575C2×D4—792no—
1576C2×D4—794no—
1577C2×D4—792no—
1578C2×D4—794no—
1579C2×D4—792no—
1580C2×D4—794no—
1581C2×D4—798no—
1582C2×D4—792no—
1583C2×D4—794no—
1584C2×D4—791no—
1585C2×D4—792no—
1586C2×D4—792no—
1587C2×D4—792no—
1588C2×D4—1588no—
1589C2×D4—1584no—
1590C2×D4—1588no—
1591C2×D4—15816no—
1592C2×D4C23×D7912yes—
1593C2×D4C23×D7912yes—
1594C2×D4C23×D7914yes—
1595C2×D4C23×D7911yescharacteristic
1596C2×D4C23×D7912yes—
1597C2×D4C23×D7912yes—
1598C2×D4C23×D7918yes—
1599C22×C4—3162no—
1600C22×C4—3164no—
1601C22×C4—3162no—
1602C22×C4—3164no—
1603C22×C4—791no—
1604C22×C4—791no—
1605C22×C4—792no—
1606C22×C4—792no—
1607C22×C4—794no—
1608C22×C4—798no—
1609C22×C4—791no—
1610C22×C4—791no—
1611C22×C4—792no—
1612C22×C4—792no—
1613C22×C4—791no—
1614C22×C4—791no—
1615C22×C4—792no—
1616C22×C4—792no—
1617C22×C4—798no—
1618C22×C4—798no—
1619C22×C4—791no—
1620C22×C4—798no—
1621C22×C4—791no—
1622C22×C4—791no—
1623C22×C4—791no—
1624C22×C4—791no—
1625C22×C4—794no—
1626C22×C4—792no—
1627C22×C4—791no—
1628C22×C4—791no—
1629C22×C4—791no—
1630C22×C4—791no—
1631C22×C4—792no—
1632C22×C4—794no—
1633C22×C4—792no—
1634C22×C4—792no—
1635C22×C4—792no—
1636C22×C4—792no—
1637C22×C4—794no—
1638C22×C4—794no—
1639C22×C4—15816no—
1640C22×C4—1588no—
1641C22×C4C23×D7911yescharacteristic
1642C22×C4C23×D7911yescharacteristic
1643C22×C4C23×D7912yes—
1644C22×C4C23×D7912yes—
1645C22×C4C23×D7912yes—
1646C22×C4C23×D7914yes—
1647C22×C4C23×D7914yes—
1648C22×C4C23×D7918yes—
1649C22×C4C23×D7911yescharacteristic
1650C4⋊C4—792no—
1651C4⋊C4—792no—
1652C4⋊C4—792no—
1653C4⋊C4—792no—
1654C4⋊C4—798no—
1655C4⋊C4—798no—
1656C4⋊C4—798no—
1657C4⋊C4—792no—
1658C4⋊C4—792no—
1659C4⋊C4—794no—
1660C4⋊C4—794no—
1661C4⋊C4—798no—
1662C4⋊C4—798no—
1663C4⋊C4—798no—
1664C4⋊C4—791no—
1665C4⋊C4—791no—
1666C4⋊C4—794no—
1667C4⋊C4—792no—
1668C4⋊C4—794no—
1669C4⋊C4—792no—
1670C4⋊C4—794no—
1671C4⋊C4—798no—
1672C4⋊C4—798no—
1673C4⋊C4—792no—
1674C4⋊C4—792no—
1675C4⋊C4—798no—
1676C4⋊C4—794no—
1677C4⋊C4—798no—
1678C4⋊C4C23×D7911yescharacteristic
1679C4⋊C4C23×D7911yescharacteristic
1680C4⋊C4C23×D7914yes—
1681C4⋊C4C23×D7912yes—
1682C4⋊C4C23×D7912yes—
1683C4⋊C4C23×D7912yes—
1684C4⋊C4C23×D7912yes—
1685C4⋊C4C23×D7914yes—
1686C4⋊C4C23×D7918yes—
1687C4⋊C4C23×D7914yes—
1688C4⋊C4C23×D7914yes—
1689C4⋊C4C23×D7918yes—
1690C22⋊C4—792no—
1691C22⋊C4—792no—
1692C22⋊C4—792no—
1693C22⋊C4—794no—
1694C22⋊C4—798no—
1695C22⋊C4—794no—
1696C22⋊C4—798no—
1697C22⋊C4—798no—
1698C22⋊C4—792no—
1699C22⋊C4—792no—
1700C22⋊C4—798no—
1701C22⋊C4—798no—
1702C22⋊C4—792no—
1703C22⋊C4—792no—
1704C22⋊C4—798no—
1705C22⋊C4—794no—
1706C22⋊C4—794no—
1707C22⋊C4—798no—
1708C22⋊C4—792no—
1709C22⋊C4—792no—
1710C22⋊C4—794no—
1711C22⋊C4—794no—
1712C22⋊C4—798no—
1713C22⋊C4—798no—
1714C22⋊C4—798no—
1715C22⋊C4—798no—
1716C22⋊C4C23×D7912yes—
1717C22⋊C4C23×D7918yes—
1718C22⋊C4C23×D7912yes—
1719C22⋊C4C23×D7912yes—
1720C22⋊C4C23×D7914yes—
1721C22⋊C4C23×D7914yes—
1722C22⋊C4C23×D7918yes—
1723C22⋊C4C23×D7918yes—
1724C42—792no—
1725C42—792no—
1726C42—791no—
1727C42—791no—
1728C42—791no—
1729C42—798no—
1730C42—791no—
1731C42—791no—
1732C42—792no—
1733C42—792no—
1734C42—792no—
1735C42—792no—
1736C42—792no—
1737C42—791no—
1738C42—791no—
1739C42—791no—
1740C42—792no—
1741C42—792no—
1742C42—791no—
1743C42—791no—
1744C42—791no—
1745C42—791no—
1746C42—798no—
1747C42—798no—
1748C42—798no—
1749C42—798no—
1750C42C23×D7911yescharacteristic
1751C42C23×D7912yes—
1752C42C23×D7911yescharacteristic
1753C42C23×D7911yescharacteristic
1754C42C23×D7911yescharacteristic
1755C42C23×D7912yes—
1756C42C23×D7912yes—
1757C42C23×D7918yes—
1758C23—3161no—
1759C23—3161no—
1760C23—3162no—
1761C23—3162no—
1762C23—3164no—
1763C23—3164no—
1764C23—794no—
1765C23—791no—
1766C23—791no—
1767C23—794no—
1768C23—792no—
1769C23—1584no—
1770C23—1588no—
1771C23C24×D7912yes—
1772C23C24×D7914yes—
1773C23C24×D7911yescharacteristic
1774Q8—28no—
1775Q8—22no—
1776Q8—24no—
1777Q8—44no—
1778Q8—3164no—
1779Q8—1584no—
1780Q8—1588no—
1781Q8—1588no—
1782Q8—1582no—
1783Q8—1584no—
1784D4—24no—
1785D4—28no—
1786D4—24no—
1787D4—24no—
1788D4—22no—
1789D4—24no—
1790D4—48no—
1791D4—3168no—
1792D4—3164no—
1793D4—3164no—
1794D4—3168no—
1795D4—3168no—
1796D4—1584no—
1797D4—1588no—
1798D4—1584no—
1799D4—1588no—
1800D4—1584no—
1801D4—1588no—
1802D4—1584no—
1803D4—1588no—
1804D4—1584no—
1805D4—1584no—
1806D4—1582no—
1807D4—1584no—
1808C2×C4—22no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—24no—
1812C2×C4—28no—
1813C2×C4—24no—
1814C2×C4—44no—
1815C2×C4—48no—
1816C2×C4—3162no—
1817C2×C4—3162no—
1818C2×C4—3161no—
1819C2×C4—3161no—
1820C2×C4—3162no—
1821C2×C4—3162no—
1822C2×C4—3161no—
1823C2×C4—3161no—
1824C2×C4—3168no—
1825C2×C4—3168no—
1826C2×C4—3162no—
1827C2×C4—3161no—
1828C2×C4—3162no—
1829C2×C4—3161no—
1830C2×C4—3164no—
1831C2×C4—3168no—
1832C2×C4—791no—
1833C2×C4—791no—
1834C2×C4—794no—
1835C2×C4—794no—
1836C2×C4—794no—
1837C2×C4—794no—
1838C2×C4—794no—
1839C2×C4—792no—
1840C2×C4—791no—
1841C2×C4—792no—
1842C2×C4—791no—
1843C2×C4—792no—
1844C2×C4—794no—
1845C2×C4—798no—
1846C2×C4—791no—
1847C2×C4—791no—
1848C2×C4—1584no—
1849C2×C4—1588no—
1850C2×C4—1588no—
1851C2×C4—1584no—
1852C2×C4—1584no—
1853C2×C4—1588no—
1854C2×C4—1582no—
1855C2×C4—1582no—
1856C2×C4—1584no—
1857C2×C4—1582no—
1858C2×C4—1582no—
1859C2×C4—1584no—
1860C2×C4—1588no—
1861C2×C4—1584no—
1862C2×C4#41×D7914yes—
1863C2×C4C24×D7912yes—
1864C2×C4C24×D7918yes—
1865C2×C4C24×D7912yes—
1866C2×C4C24×D7911yescharacteristic
1867C2×C4C24×D7911yescharacteristic
1868C2×C4C24×D7912yes—
1869C2×C4C24×D7914yes—
1870C2×C4C24×D7911yescharacteristic
1871C2×C4C24×D7911yescharacteristic
1872C2×C4C24×D7911yescharacteristic
1873C2×C4C24×D7911yescharacteristic
1874C22—21no—
1875C22—21no—
1876C22—22no—
1877C22—24no—
1878C22—22no—
1879C22—24no—
1880C22—22no—
1881C22—24no—
1882C22—3164no—
1883C22—3168no—
1884C22—792no—
1885C22—792no—
1886C22—6328no—
1887C22—1582no—
1888C22—1584no—
1889C22—1584no—
1890C22—1582no—
1891C22—1584no—
1892C22—1582no—
1893C22—1581no—
1894C22—1581no—
1895C22—1581no—
1896C22—1581no—
1897C22C2×#41×D7912yes—
1898C22C25×D7911yescharacteristic
1899C4—24no—
1900C4—22no—
1901C4—22no—
1902C4—21no—
1903C4—28no—
1904C4—22no—
1905C4—21no—
1906C4—792no—
1907C4—792no—
1908C4—1582no—
1909C4—1584no—
1910C4—1581no—
1911C4—1582no—
1912C4—1581no—
1913C4—1581no—
1914C4—1582no—
1915C4—1588no—
1916C4—1581no—
1917C4C2×#41×D7912yes—
1918C4C2×#41×D7912yes—
1919C4#1909939812yes—
1920C4#1909940012yes—
1921C2—22no—
1922C2—42no—
1923C2—44no—
1924C2—3162no—
1925C2—3164no—
1926C2—1582no—
1927C2—1582no—
1928C2C22×#41×D7911yescharacteristic
1929C2C2×#1909939811yescharacteristic
1930C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3511C2
hypercenter#3511D79
hypocenterC79#62815
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3511

Complements

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

NH ≅ G/Ntype
1. #23777321C2semidirect
2. #23777317C2semidirect
3. #23777313C2semidirect
4. #23777311C2semidirect
5. #23777307C2semidirect
6. #23777292C2semidirect
7. #23777279C2semidirect
8. #23777269C2semidirect
9. #23777263C2semidirect
10. #23777255C2semidirect
11. #23777250C2semidirect
12. #23777242C2semidirect
13. #23777236C2semidirect
14. #23777229C2semidirect
15. #23776994C2semidirect
16. #23776990C2semidirect
17. #23776966C2semidirect
18. #23776963C2semidirect
19. #23776961C2semidirect
20. #23776957C2semidirect
21. #23776787C2semidirect
22. #23776728C2semidirect
23. #23776697C2semidirect
24. #23776695C2semidirect
25. C2×#19099118C2semidirect
26. #532×D79C2semidirect
27. #23776600C2semidirect
28. C4×#41×D79C2semidirect
29. C79×#3511C2semidirect
32. #19099297C22semidirect
33. #19099296C22semidirect
34. #19099295C22semidirect
35. #19099295C22semidirect
36. #19099290C22semidirect
37. #19099289C22semidirect
38. #19099287C22semidirect
39. #19099286C22semidirect
40. #19099284C22semidirect
41. #19099284C22semidirect
42. #19099283C22semidirect
43. #19099281C22semidirect
44. #19099280C22semidirect
45. #19099279C22semidirect
46. #19099278C22semidirect
47. #19099278C22semidirect
48. #19099274C22semidirect
49. #19099273C22semidirect
50. #19099270C22semidirect
51. #19099265C22semidirect
52. #19099265C22semidirect
53. #19099265C22semidirect
54. #19099262C22semidirect
55. #19099261C22semidirect
56. #19099261C22semidirect
57. #19099260C22semidirect
58. #19099259C22semidirect
59. #19099259C22semidirect
60. #19099257C22semidirect
61. #19099256C22semidirect
62. #19099255C22semidirect
63. #19099254C22semidirect
64. #19099252C22semidirect
65. #19099252C22semidirect
66. #19099251C22semidirect
67. #19099248C22semidirect
68. #19099247C22semidirect
69. #19099247C22semidirect
70. #19099243C22semidirect
71. #19099240C22semidirect
72. #19099238C22semidirect
73. #19099236C22semidirect
74. #19099232C22semidirect
75. #19099231C22semidirect
76. #19099224C22semidirect
77. #19099222C22semidirect
78. #19099219C22semidirect
79. #19099218C22semidirect
80. #19099217C22semidirect
81. #19099216C22semidirect
82. #19099210C22semidirect
83. #19099208C22semidirect
84. #19099206C22semidirect
85. #19099201C22semidirect
86. #19099187C22semidirect
87. #19099184C22semidirect
88. #19099182C22semidirect
89. #19099173C22semidirect
90. #19099171C22semidirect
91. #19099166C22semidirect
92. #19099164C22semidirect
93. #19099159C22semidirect
94. #19099154C22semidirect
95. #19099149C22semidirect
96. #19099147C22semidirect
97. #19099144C22semidirect
98. #19099141C22semidirect
99. #19099141C22semidirect
101. #19099136C22semidirect
103. #19099129C22semidirect
105. #19099120C22semidirect
106. #19099118C22semidirect
107. #19099118C22semidirect
108. #19099118C22semidirect
109. #19099118C22semidirect
110. #19099118C22semidirect
111. #19099118C22semidirect
112. #19099118C22semidirect
113. #19099118C22semidirect
114. #19099118C22semidirect
115. #19099118C22semidirect
117. #19099114C22semidirect
118. #19099113C22semidirect
119. #19099113C22semidirect
122. #19099111C22semidirect
125. #19099109C22semidirect
126. #19099108C22semidirect
127. #19099108C22semidirect
128. #19099108C22semidirect
129. C2×#14579161C22semidirect
130. C4⋊Q8×D79C22semidirect
131. #127×D79C22semidirect
132. #19099100C22semidirect
133. #19099100C22semidirect
134. #19099099C22semidirect
135. #19099099C22semidirect
136. #19099099C22semidirect
137. #19099098C22semidirect
138. #19099098C22semidirect
139. #19099096C22semidirect
140. #19099095C22semidirect
141. #19099095C22semidirect
142. #19099094C22semidirect
143. #19099094C22semidirect
144. #19099092C22semidirect
145. #19099092C22semidirect
146. #19099092C22semidirect
147. #19099090C22semidirect
148. C2×#14579152C22semidirect
149. #124×D79C22semidirect
151. #19099076C22semidirect
152. #19099076C22semidirect
153. #19099075C22semidirect
155. #19099073C22semidirect
156. #19099073C22semidirect
157. #19099070C22semidirect
162. #19099046C22semidirect
163. #19099044C22semidirect
164. #19099044C22semidirect
165. #19099043C22semidirect
166. #19099043C22semidirect
167. #19099039C22semidirect
169. #19099035C22semidirect
170. #41×Dic79C22semidirect
171. #41×Dic79C22semidirect
174. C4×#11929625C22semidirect
175. C4×#11929625C22semidirect
177. C4×#11929624C22semidirect
179. #19099031C22semidirect
180. #19099031C22semidirect
183. C4×#11929623C22semidirect
184. C4×#11929623C22semidirect
185. C4×#11929623C22semidirect
186. C4×#11929623C22semidirect
187. C4×#11929623C22semidirect
188. C2×Q8×Dic79C22semidirect
189. C2×#14579126C22semidirect
190. C4×Q8×D79C22semidirect
191. C4×Q8×D79C22semidirect
194. C4×D4×D79C22semidirect
195. C4×D4×D79C22semidirect
196. C4×D4×D79C22semidirect
197. C4×D4×D79C22semidirect
199. C2×#14579119C22semidirect
201. #117×D79C22semidirect
202. #117×D79C22semidirect
204. C2×C42×D79C22semidirect
205. #556×C79C22semidirect
206. #555×C79C22semidirect
207. #554×C79C22semidirect
208. #553×C79C22semidirect
209. #548×C79C22semidirect
210. #547×C79C22semidirect
211. #542×C79C22semidirect
212. #537×C79C22semidirect
213. #533×C79C22semidirect
214. #532×C79C22semidirect
215. #532×C79C22semidirect
216. C2×C4⋊Q8×C79C22semidirect
217. #520×C79C22semidirect
218. C4×#41×C79C22semidirect
633. C2×C4×D79#41semidirect
971. #3511D79semidirect
995. C79#62815semidirect
1011. #556C2×D79semidirect
1015. #555C2×D79semidirect
1019. #554C2×D79semidirect
1031. #553C2×D79semidirect
1049. #548C2×D79semidirect
1053. #547C2×D79semidirect
1061. #542C2×D79semidirect
1073. #537C2×D79semidirect
1090. #533C2×D79semidirect
1104. #532C2×D79semidirect
1105. #532C2×D79semidirect
1108. C2×C4⋊Q8C2×D79semidirect
1145. #520C2×D79semidirect
1167. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237773212
#237773172
#237773132
#237773112
#237773072
#237772922
#237772792
#237772692
#237772632
#237772552
#237772502
#237772422
#237772362
#237772292
#237769942
#237769902
#237769662
#237769632
#237769612
#237769572
#237767872
#237767282
#237766972
#237766952
C2×#190991182
#532×D792
#237766002
C4×#41×D792
C79×#35112
#6281579