Finite Group Databasebeta

← #35170857

Subgroups — #35170857

Order 20224.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777489C211yesmaximal, characteristic, complemented
2#23777419C211yesmaximal, characteristic
3#23776380C211yesmaximal, characteristic, complemented
4#23776270C211yesmaximal, characteristic, complemented
5#23776182C211yesmaximal, characteristic, complemented
6#23776126C211yesmaximal, characteristic, complemented
7#23775811C211yesmaximal, characteristic, complemented
8#23775783C211yesmaximal, characteristic, complemented
9#23775779C211yesmaximal, characteristic, complemented
10#23775689C211yesmaximal, characteristic, complemented
11#23775627C211yesmaximal, characteristic, complemented
12#23775577C211yesmaximal, characteristic, complemented
13#23775573C211yesmaximal, characteristic, complemented
14#23775417C211yesmaximal, characteristic, complemented
15#23775094C211yesmaximal, characteristic, complemented
16#23775094C211yesmaximal, characteristic, complemented
17D4×#11929612C211yesmaximal, characteristic, complemented
18#23774027C211yesmaximal, characteristic, complemented
19#23774023C211yesmaximal, characteristic, complemented
20#23773954C211yesmaximal, characteristic, complemented
21#23773689C211yesmaximal, characteristic, complemented
22#23773687C211yesmaximal, characteristic, complemented
23#23773654C211yesmaximal, characteristic, complemented
24#23773646C211yesmaximal, characteristic, complemented
25#23773519C211yesmaximal, characteristic, complemented
26#23773494C211yesmaximal, characteristic, complemented
27#23772370C211yesmaximal, characteristic, complemented
28#23772262C211yesmaximal, characteristic, complemented
29#23772256C211yesmaximal, characteristic, complemented
30C2×#19098654C211yesmaximal, characteristic, complemented
31C79×#3310C211yesmaximal, characteristic, complemented
32C22×#11929612C2211yescharacteristic
33C22×#11929612C2211yescharacteristic
34C2×SD16×D79C2211yescharacteristic
35#19099291C2211yescharacteristic, complemented
36#19099290—21no—
37#19099290C2211yescharacteristic, complemented
38#19099281C2211yescharacteristic, complemented
39#19099280—21no—
40#19099277C2211yescharacteristic
41#19099272C2211yescharacteristic
42#19099265C2211yescharacteristic
43#19099259C2211yescharacteristic
44#19099256—21no—
45#19099250—21no—
46#19099248C2211yescharacteristic, complemented
47#19099246—21no—
48#19099233C2211yescharacteristic
49D4×Dic158C2211yescharacteristic, complemented
50#19099226C2211yescharacteristic, complemented
51#19099226C2211yescharacteristic, complemented
52#19099207—21no—
53#19099200—21no—
54#19099200—21no—
55D4×C22⋊D79C2211yescharacteristic
56D4×C22⋊D79C2211yescharacteristic
57#19099176C2211yescharacteristic, complemented
58#19099173C2211yescharacteristic, complemented
59#19099172—21no—
60#19099170—21no—
61#19099167C2211yescharacteristic
62#19099166C2211yescharacteristic
63#19099150—21no—
64#19099148—21no—
65#19099116—21no—
66#19099115C2211yescharacteristic, complemented
67#19099108C2211yescharacteristic
68#19099093C2211yescharacteristic
69#19099090—21no—
70#19099069—21no—
71C2×#14579133—21no—
72#19099040C2211yescharacteristic, complemented
73#19099039C2211yescharacteristic, complemented
74#19099038C2211yescharacteristic
75#19099035C2211yescharacteristic
76C2×#14579126C2211yescharacteristic, complemented
77C2×D4×Dic79C2211yescharacteristic
78#19098964C2211yescharacteristic, complemented
79#19098962C2211yescharacteristic, complemented
80#19098960C2211yescharacteristic, complemented
81#19098935C2211yescharacteristic, complemented
82#19098934C2211yescharacteristic, complemented
83#19098934C2211yescharacteristic, complemented
84#19098932C2211yescharacteristic, complemented
85#19098930C2211yescharacteristic, complemented
86#19098926C2211yescharacteristic, complemented
87#19098912C2211yescharacteristic, complemented
88#19098908C2211yescharacteristic, complemented
89#19098907C2211yescharacteristic, complemented
90#19098906C2211yescharacteristic, complemented
91#19098905C2211yescharacteristic, complemented
92#19098901C2211yescharacteristic, complemented
93#19098899C2211yescharacteristic, complemented
94#19098896C2211yescharacteristic, complemented
95#19098887C2211yescharacteristic, complemented
96#19098886C2211yescharacteristic, complemented
97#19098885C2211yescharacteristic, complemented
98#19098876C2211yescharacteristic, complemented
99#19098873C2211yescharacteristic, complemented
100#19098871C2211yescharacteristic, complemented
101#19098870C2211yescharacteristic, complemented
102#19098869C2211yescharacteristic, complemented
103#19098865C2211yescharacteristic
104#19098861C2211yescharacteristic, complemented
105#19098860C2211yescharacteristic, complemented
106#19098857C2211yescharacteristic, complemented
107#19098857C2211yescharacteristic, complemented
108#19098841C2211yescharacteristic
109#19098841C2211yescharacteristic, complemented
110#19098809C2211yescharacteristic, complemented
111#19098808C2211yescharacteristic, complemented
112#19098808C2211yescharacteristic, complemented
113#19098794C2211yescharacteristic, complemented
114#19098794C2211yescharacteristic, complemented
115#19098792C2211yescharacteristic, complemented
116#19098791C2211yescharacteristic, complemented
117#19098791C2211yescharacteristic, complemented
118#19098790C2211yescharacteristic, complemented
119#19098790C2211yescharacteristic, complemented
120#19098769C2211yescharacteristic, complemented
121#19098768C2211yescharacteristic
122#19098766C2211yescharacteristic
123#19098766C2211yescharacteristic
124#19098766C2211yescharacteristic, complemented
125#19098766C2211yescharacteristic, complemented
126#19098762C2211yescharacteristic, complemented
127#19098762C2211yescharacteristic, complemented
128#19098762C2211yescharacteristic, complemented
129#19098762C2211yescharacteristic, complemented
130#19098760C2211yescharacteristic, complemented
131#19098715C2211yescharacteristic
132#19098715C2211yescharacteristic
133#19098714C2211yescharacteristic
134#19098714C2211yescharacteristic
135#19098704C2211yescharacteristic, complemented
136#19098704C2211yescharacteristic, complemented
137#19098701C2211yescharacteristic, complemented
138#19098701C2211yescharacteristic, complemented
139#19098700C2211yescharacteristic, complemented
140#19098700C2211yescharacteristic, complemented
141#19098691C2211yescharacteristic, complemented
142#19098687C2211yescharacteristic, complemented
143#19098665C2211yescharacteristic, complemented
144#19098664C2211yescharacteristic
145#19098664C2211yescharacteristic, complemented
146#19098662C2211yescharacteristic, complemented
147#19098662C2211yescharacteristic, complemented
148#19098660C2211yescharacteristic
149#19098660C2211yescharacteristic
150#19098660C2211yescharacteristic, complemented
151#19098660C2211yescharacteristic, complemented
152#19098660C2211yescharacteristic, complemented
153#19098660C2211yescharacteristic, complemented
154#19098654C2211yescharacteristic
155#19098654C2211yescharacteristic
156#19098654C2211yescharacteristic
157#19098654C2211yescharacteristic
158#19098654C2211yescharacteristic
159#19098654C2211yescharacteristic, complemented
160#19098654C2211yescharacteristic, complemented
161#19098654C2211yescharacteristic, complemented
162#19098654C2211yescharacteristic, complemented
163#19098654C2211yescharacteristic, complemented
164#19098654C2211yescharacteristic, complemented
165SD16×Dic79C2211yescharacteristic, complemented
166C4×#11929611C2211yescharacteristic, complemented
167#19098650C2211yescharacteristic, complemented
168C4×#11929612C2211yescharacteristic
169#19098648C2211yescharacteristic, complemented
170#19098639C2211yescharacteristic, complemented
171#19098634C2211yescharacteristic, complemented
172D4×C79⋊C8C2211yescharacteristic, complemented
173(C22⋊D79)⋊C8C2211yescharacteristic, complemented
174(C22⋊D79)⋊C8C2211yescharacteristic, complemented
175#19098623C2211yescharacteristic, complemented
176#19098621C2211yescharacteristic, complemented
177#19098617C2211yescharacteristic, complemented
178#19098600C2211yescharacteristic, complemented
179#19098599C2211yescharacteristic, complemented
180C2×#14579092C2211yescharacteristic, complemented
181#19098573C2211yescharacteristic, complemented
182#19098570C2211yescharacteristic, complemented
183#19098566C2211yescharacteristic
184C2×#14579086C2211yescharacteristic, complemented
185#19098521C2211yescharacteristic, complemented
186#19098520C2211yescharacteristic, complemented
187C2×C8×Dic79C2211yescharacteristic, complemented
188#552×C79C2211yescharacteristic, complemented
189D42×C79C2211yescharacteristic
190#490×C79C2211yescharacteristic, complemented
191#482×C79C2211yescharacteristic, complemented
192#480×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic
194#468×C79C2211yescharacteristic, complemented
195#465×C79C2211yescharacteristic, complemented
196#460×C79C2211yescharacteristic, complemented
197#450×C79C2211yescharacteristic
198#450×C79C2211yescharacteristic
199#440×C79C2211yescharacteristic
200#435×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic
202C2×#102×C79C2211yescharacteristic
203C2×#11929623—21no—
204C2×#11929623—21no—
205C22×Dic158C2311yescharacteristic
206C22×Dic158C2311yescharacteristic
207C2×Q8×D79C2311yescharacteristic
208C22×C22⋊D79—21no—
209C22×C22⋊D79—21no—
210C2×D4×D79C2311yescharacteristic
211C23×Dic79—21no—
212C2×#11929613C2311yescharacteristic
213C2×#11929613C2311yescharacteristic
214C2×#11929613C2311yescharacteristic
215C2×#11929612—24no—
216C2×#11929612—24no—
217C2×#11929612C2311yescharacteristic
218C2×#11929612C2311yescharacteristic
219C2×#11929612C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929612C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
225C2×#11929612C2311yescharacteristic
226C2×#11929611C2311yescharacteristic
227SD16×D79—24no—
228C2×#11929607C2311yescharacteristic
229C22×C79⋊C8C2311yescharacteristic
230C22×C79⋊C8C2311yescharacteristic
231C2×C8×D79C2311yescharacteristic
232#14579161C2311yescharacteristic
233#14579160—21no—
234#14579160—21no—
235#14579160—21no—
236#14579160—21no—
237#14579160C2311yescharacteristic
238#14579160C2311yescharacteristic
239#14579159C2311yescharacteristic
240#14579159C2311yescharacteristic
241#14579157C2311yescharacteristic
242#14579157C2311yescharacteristic
243#14579156—21no—
244#14579156—21no—
245#14579156—21no—
246#14579156—21no—
247#14579156D411yescharacteristic
248#14579155—21no—
249#14579154—21no—
250#14579154—21no—
251#14579154—21no—
252#14579154—21no—
253#14579154D411yescharacteristic
254#14579153—21no—
255#14579153C2311yescharacteristic
256#14579152—21no—
257#14579152—21no—
258#14579152—21no—
259#14579152C2311yescharacteristic
260#14579152C2311yescharacteristic
261#14579151—21no—
262#14579151—21no—
263#14579151—21no—
264#14579151—21no—
265#14579151—21no—
266#14579151—21no—
267#14579151—21no—
268#14579151D411yescharacteristic
269#14579148—21no—
270#14579147—21no—
271#14579147—21no—
272#14579147—21no—
273#14579147D411yescharacteristic
274#14579145—21no—
275#14579145—21no—
276#14579145D411yescharacteristic
277#14579144—21no—
278#14579143—21no—
279#14579143—21no—
280#14579142—21no—
281#14579142—21no—
282#14579142D411yescharacteristic
283#14579141C2311yescharacteristic
284#14579141C2311yescharacteristic
285#14579140—21no—
286#14579140C2311yescharacteristic
287#14579140C2311yescharacteristic
288#14579139—21no—
289#14579139—21no—
290#14579138—21no—
291#14579138—21no—
292#14579138—21no—
293#14579138—21no—
294#14579138—21no—
295#14579138—21no—
296#14579138—21no—
297#14579138D411yescharacteristic
298#14579135C2311yescharacteristic
299#14579135C2311yescharacteristic
300#14579133—21no—
301#14579133—21no—
302#14579133—21no—
303#14579133—21no—
304#14579133—21no—
305#14579133—21no—
306#14579133—21no—
307#14579133—21no—
308#14579133—21no—
309#14579133—21no—
310#14579133—21no—
311#14579133D411yescharacteristic
312#14579132—21no—
313#14579132—21no—
314#14579132C2311yescharacteristic
315#14579132C2311yescharacteristic
316#14579130—21no—
317#14579130—21no—
318#14579129—21no—
319#14579129—21no—
320Q8×Dic79C2311yescharacteristic
321C4×Dic158—21no—
322C4×Dic158—21no—
323C4×Dic158—21no—
324C4×Dic158—21no—
325C4×Dic158—21no—
326C4×Dic158C2311yescharacteristic
327C4×Dic158C2311yescharacteristic
328#14579126—21no—
329#14579126—21no—
330#14579126—21no—
331#14579126—21no—
332#14579126—21no—
333#14579126C2311yescharacteristic
334#14579126C2311yescharacteristic
335#14579126C2311yescharacteristic
336#14579126C2311yescharacteristic
337#14579126C2311yescharacteristic
338#14579126C2311yescharacteristic
339#14579126C2311yescharacteristic
340C4×D316C2311yescharacteristic
341D4×Dic79—21no—
342D4×Dic79—21no—
343D4×Dic79—21no—
344D4×Dic79—21no—
345D4×Dic79—21no—
346D4×Dic79—21no—
347D4×Dic79C2311yescharacteristic
348D4×Dic79C2311yescharacteristic
349D4×Dic79C2311yescharacteristic
350D4×Dic79C2311yescharacteristic
351D4×Dic79C2311yescharacteristic
352D4×Dic79C2311yescharacteristic
353D4×Dic79C2311yescharacteristic
354#14579123C2311yescharacteristic
355C4×C22⋊D79—21no—
356C4×C22⋊D79C2311yescharacteristic
357C4×C22⋊D79C2311yescharacteristic
358(C22⋊D79)⋊C4—21no—
359(C22⋊D79)⋊C4—21no—
360(C22⋊D79)⋊C4—21no—
361(C22⋊D79)⋊C4—21no—
362(C22⋊D79)⋊C4—21no—
363#14579120—21no—
364#14579120C2311yescharacteristic
365#14579120C2311yescharacteristic
366#14579119—21no—
367#14579119C2311yescharacteristic
368#14579119C2311yescharacteristic
369#14579118—21no—
370#14579118C2311yescharacteristic
371#14579117—21no—
372#14579117—21no—
373#14579117—21no—
374#14579117—21no—
375C2×C4⋊Dic79C2311yescharacteristic
376C2×Dic79⋊C4—21no—
377C2×Dic79⋊C4—21no—
378C2×C22⋊Dic79—21no—
379C2×C22⋊Dic79—21no—
380C2×C22⋊Dic79—21no—
381C2×(C2×D79)⋊C4—21no—
382C22⋊C4×D79—21no—
383C2×C4×Dic79—21no—
384C2×C4×Dic79C2311yescharacteristic
385#14579095C2311yescharacteristic
386#14579095C2311yescharacteristic
387#14579094C2311yescharacteristic
388#14579094C2311yescharacteristic
389#14579094C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579093C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395#14579092C2311yescharacteristic
396#14579092C2311yescharacteristic
397#14579092C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579085C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579081C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425C22⋊(C79⋊C8)C2311yescharacteristic
426C22⋊(C79⋊C8)C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429#14579071C2311yescharacteristic
430#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C8×Dic79C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C22×D4×C79—21no—
439C22×D4×C79C2311yescharacteristic
440C22×D4×C79C2311yescharacteristic
441C2×SD16×C79C2311yescharacteristic
442C2×SD16×C79C2311yescharacteristic
443C2×SD16×C79C2311yescharacteristic
444C2×M16×C79C2311yescharacteristic
445C22×C8×C79C2311yescharacteristic
446#127×C79C2311yescharacteristic
447#126×C79—21no—
448#125×C79—21no—
449#125×C79C2311yescharacteristic
450#123×C79—21no—
451C22⋊Q8×C79C2311yescharacteristic
452C22⋊Q8×C79C2311yescharacteristic
453#121×C79—21no—
454#121×C79C2311yescharacteristic
455#121×C79C2311yescharacteristic
456#120×C79—21no—
457#120×C79—21no—
458C4×Q8×C79C2311yescharacteristic
459C4×D4×C79C2311yescharacteristic
460C4×D4×C79C2311yescharacteristic
461#117×C79—21no—
462#117×C79C2311yescharacteristic
463C2×C4⋊C4×C79C2311yescharacteristic
464#107×C79C2311yescharacteristic
465#107×C79C2311yescharacteristic
466#106×C79C2311yescharacteristic
467C4⋊C8×C79C2311yescharacteristic
468#103×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478C22⋊C8×C79C2311yescharacteristic
479C22⋊C8×C79C2311yescharacteristic
480#97×C79C2311yescharacteristic
481C23×D79—21no—
482#11929623—82no—
483#11929623—82no—
484C2×Dic158—22no—
485C2×Dic158—22no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×Dic158—21no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158—41no—
492C2×Dic158—41no—
493C2×Dic158C2×D411yescharacteristic
494C2×Dic158C2411yescharacteristic
495C2×Dic158C2411yescharacteristic
496C2×Dic158C2411yescharacteristic
497Q8×D79—22no—
498Q8×D79—41no—
499C2×D316C2411yescharacteristic
500C2×C22⋊D79—21no—
501C2×C22⋊D79—21no—
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—82no—
510C2×C22⋊D79—82no—
511C2×C22⋊D79C2×D411yescharacteristic
512C2×C22⋊D79C2×D411yescharacteristic
513D4×D79—22no—
514D4×D79—41no—
515C22×Dic79—21no—
516C22×Dic79—21no—
517C22×Dic79—21no—
518C22×Dic79—21no—
519C22×Dic79—21no—
520C22×Dic79—21no—
521C22×Dic79—21no—
522C22×Dic79—21no—
523C22×Dic79—21no—
524C22×Dic79—21no—
525C22×Dic79—82no—
526C22×Dic79C2×D411yescharacteristic
527C22×Dic79C2×D411yescharacteristic
528C2×C4×D79—21no—
529C2×C4×D79—21no—
530C2×C4×D79—21no—
531C2×C4×D79C2411yescharacteristic
532#11929613—22no—
533#11929613—41no—
534#11929613—41no—
535#11929612—22no—
536#11929612—22no—
537#11929612—22no—
538#11929612—22no—
539#11929612—22no—
540#11929612—22no—
541#11929612—41no—
542#11929612—41no—
543#11929612#4114yescomplemented
544#11929611—22no—
545#11929607—41no—
546C2×C79⋊C8—22no—
547C2×C79⋊C8—22no—
548C2×C79⋊C8C2411yescharacteristic
549C2×C79⋊C8C2411yescharacteristic
550C2×C79⋊C8C2411yescharacteristic
551C2×C79⋊C8C2411yescharacteristic
552C8×D79—22no—
553C4⋊Dic79—21no—
554C4⋊Dic79—21no—
555C4⋊Dic79—21no—
556C4⋊Dic79—21no—
557C4⋊Dic79—21no—
558C4⋊Dic79—21no—
559C4⋊Dic79—21no—
560C4⋊Dic79—21no—
561C4⋊Dic79C2×D411yescharacteristic
562C4⋊Dic79C2×D411yescharacteristic
563C4⋊Dic79C2×D411yescharacteristic
564C4⋊Dic79C2411yescharacteristic
565C4⋊Dic79C2411yescharacteristic
566C4⋊Dic79C2411yescharacteristic
567C4⋊Dic79C2411yescharacteristic
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4C2×D411yescharacteristic
589Dic79⋊C4C2×D411yescharacteristic
590Dic79⋊C4C2×D411yescharacteristic
591Dic79⋊C4C2×D411yescharacteristic
592Dic79⋊C4C2×D411yescharacteristic
593Dic79⋊C4C2×D411yescharacteristic
594C22⋊Dic79—21no—
595C22⋊Dic79—21no—
596C22⋊Dic79—21no—
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
599C22⋊Dic79—21no—
600C22⋊Dic79—21no—
601C22⋊Dic79—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79C2×D411yescharacteristic
607C22⋊Dic79C2×D411yescharacteristic
608C22⋊Dic79C2×D411yescharacteristic
609C22⋊Dic79C2×D411yescharacteristic
610(C2×D79)⋊C4—21no—
611(C2×D79)⋊C4—21no—
612(C2×D79)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4C2×D411yescharacteristic
619(C2×D79)⋊C4C2×D411yescharacteristic
620(C2×D79)⋊C4C2×D411yescharacteristic
621(C2×D79)⋊C4C2×D411yescharacteristic
622C4×Dic79—21no—
623C4×Dic79—21no—
624C4×Dic79—21no—
625C4×Dic79—21no—
626C4×Dic79—21no—
627C4×Dic79—21no—
628C4×Dic79—21no—
629C4×Dic79—21no—
630C4×Dic79—21no—
631C4×Dic79—21no—
632C4×Dic79—21no—
633C4×Dic79—21no—
634C4×Dic79C2×D411yescharacteristic
635C4×Dic79C2×D411yescharacteristic
636C4×Dic79C2411yescharacteristic
637C4×Dic79C2411yescharacteristic
638C4×Dic79C2411yescharacteristic
639C24×C79—21no—
640C24×C79—21no—
641C2×Q8×C79C2411yescharacteristic
642C2×D4×C79—22no—
643C2×D4×C79—22no—
644C2×D4×C79—21no—
645C2×D4×C79—21no—
646C2×D4×C79—21no—
647C2×D4×C79—21no—
648C2×D4×C79—21no—
649C2×D4×C79—21no—
650C2×D4×C79—41no—
651C2×D4×C79—41no—
652C2×D4×C79—82no—
653C2×D4×C79C2×D411yescharacteristic
654C2×D4×C79C2411yescharacteristic
655C2×D4×C79C2411yescharacteristic
656C2×D4×C79C2411yescharacteristic
657C22×C4×C79—21no—
658C22×C4×C79—21no—
659C22×C4×C79C2411yescharacteristic
660C22×C4×C79C2411yescharacteristic
661SD16×C79—22no—
662SD16×C79—41no—
663SD16×C79—41no—
664M16×C79—41no—
665C2×C8×C79—41no—
666C2×C8×C79C2411yescharacteristic
667C2×C8×C79C2411yescharacteristic
668C2×C8×C79C2411yescharacteristic
669C2×C8×C79C2411yescharacteristic
670C4⋊C4×C79—21no—
671C4⋊C4×C79—21no—
672C4⋊C4×C79—21no—
673C4⋊C4×C79—21no—
674C4⋊C4×C79—21no—
675C4⋊C4×C79—21no—
676C4⋊C4×C79C2×D411yescharacteristic
677C4⋊C4×C79C2411yescharacteristic
678C4⋊C4×C79C2411yescharacteristic
679C4⋊C4×C79C2411yescharacteristic
680C4⋊C4×C79C2411yescharacteristic
681C22⋊C4×C79—21no—
682C22⋊C4×C79—21no—
683C22⋊C4×C79—21no—
684C22⋊C4×C79—21no—
685C22⋊C4×C79—21no—
686C22⋊C4×C79—21no—
687C22⋊C4×C79C2×D411yescharacteristic
688C22⋊C4×C79C2×D411yescharacteristic
689C42×C79—21no—
690C42×C79—21no—
691C42×C79C2411yescharacteristic
692C23×C79—21no—
693C23×C79—21no—
694C23×C79—21no—
695C23×C79—42no—
696C23×C79—42no—
697C23×C79—42no—
698C23×C79—81no—
699C23×C79—81no—
700C23×C79—81no—
701C23×C79C22×D411yescharacteristic
702C23×C79C22×D411yescharacteristic
703C22×D79—21no—
704C22×D79—42no—
705C22×D79—81no—
706C22×D79—81no—
707C22×D79C22×D411yescharacteristic
708Q8×C79—21no—
709Q8×C79—21no—
710D4×C79—22no—
711D4×C79—21no—
712D4×C79—21no—
713D4×C79—21no—
714D4×C79—21no—
715D4×C79—21no—
716D4×C79—42no—
717D4×C79—42no—
718D4×C79—42no—
719D4×C79—81no—
720D4×C79—81no—
721D4×C79—81no—
722D4×C79C2×#4112yes—
723C2×C4×C79—21no—
724C2×C4×C79—21no—
725C2×C4×C79—21no—
726C2×C4×C79—21no—
727C2×C4×C79—21no—
728C2×C4×C79—21no—
729C2×C4×C79—21no—
730C2×C4×C79—21no—
731C2×C4×C79—21no—
732C2×C4×C79—42no—
733C2×C4×C79—81no—
734C2×C4×C79C22×D411yescharacteristic
735C2×C4×C79C22×D411yescharacteristic
736C2×C4×C79C22×D411yescharacteristic
737C2×C4×C79C22×D411yescharacteristic
738C2×C4×C79C2511yescharacteristic
739C22⋊D79—22no—
740C22⋊D79—22no—
741C22⋊D79—42no—
742C22⋊D79—42no—
743C22⋊D79—42no—
744C22⋊D79—81no—
745C22⋊D79—81no—
746C22⋊D79—81no—
747C22⋊D79—81no—
748C22⋊D79—81no—
749C22⋊D79—81no—
750C2×Dic79—22no—
751C2×Dic79—21no—
752C2×Dic79—22no—
753C2×Dic79—21no—
754C2×Dic79—21no—
755C2×Dic79—21no—
756C2×Dic79—21no—
757C2×Dic79—21no—
758C2×Dic79—21no—
759C2×Dic79—42no—
760C2×Dic79—42no—
761C2×Dic79—42no—
762C2×Dic79—42no—
763C2×Dic79—81no—
764C2×Dic79—81no—
765C2×Dic79—81no—
766C2×Dic79—81no—
767C2×Dic79—81no—
768C2×Dic79—81no—
769C2×Dic79C22×D411yescharacteristic
770C2×Dic79C22×D411yescharacteristic
771C2×Dic79C22×D411yescharacteristic
772C2×Dic79C22×D411yescharacteristic
773C2×Dic79C22×D411yescharacteristic
774C2×Dic79C22×D411yescharacteristic
775C2×Dic79C22×D411yescharacteristic
776D316—21no—
777D316—21no—
778C4×D79—21no—
779C4×D79—21no—
780C4×D79—42no—
781C4×D79—81no—
782C4×D79—81no—
783Dic158—21no—
784Dic158—22no—
785Dic158—21no—
786Dic158—21no—
787Dic158—21no—
788Dic158—21no—
789Dic158—42no—
790Dic158—42no—
791Dic158—42no—
792Dic158—42no—
793Dic158—81no—
794Dic158C2×#4112yes—
795C8×C79—21no—
796C8×C79—21no—
797C8×C79—21no—
798C8×C79—21no—
799C79⋊C8—21no—
800C79⋊C8—21no—
801C79⋊C8—21no—
802C79⋊C8C2×#4112yes—
803C22×C79—21no—
804C22×C79—21no—
805C22×C79—22no—
806C22×C79—21no—
807C22×C79—21no—
808C22×C79—21no—
809C22×C79—41no—
810C22×C79—41no—
811C22×C79—41no—
812C22×C79—41no—
813C22×C79—41no—
814C22×C79—41no—
815C22×C79—41no—
816C22×C79—41no—
817C22×C79—84no—
818C22×C79—162no—
819C22×C79#57712yes—
820C22×C79C23×D411yescharacteristic
821C2×D79—21no—
822C2×D79—21no—
823C2×D79—21no—
824C2×D79—41no—
825C2×D79—41no—
826C2×D79—41no—
827C2×D79—162no—
828C4×C79—21no—
829C4×C79—21no—
830C4×C79—21no—
831C4×C79—21no—
832C4×C79—41no—
833C4×C79—41no—
834C4×C79—41no—
835C4×C79—41no—
836C4×C79—41no—
837C4×C79C22×#4111yescharacteristic
838C4×C79#58511yescharacteristic
839Dic79—21no—
840Dic79—22no—
841Dic79—21no—
842Dic79—21no—
843Dic79—21no—
844Dic79—21no—
845Dic79—21no—
846Dic79—41no—
847Dic79—41no—
848Dic79—41no—
849Dic79—41no—
850Dic79—41no—
851Dic79—41no—
852Dic79#57712yes—
853#61481—791nomaximal, Sylow
854C2×C79—22no—
855C2×C79—42no—
856C2×C79—41no—
857C2×C79—81no—
858C2×C79—81no—
859C2×C79D4×#4111yescharacteristic
860C2×C79C2×#57711yescharacteristic
861C2×C79C2×#57711yescharacteristic
862D79—41no—
863D79—81no—
864#3523—791no—
865#3519—791no—
866#3392—791no—
867#3381—791no—
868#3372—791no—
869#3368—791no—
870#3340—791no—
871#3337—791no—
872#3337—791no—
873#3329—791no—
874#3324—791no—
875#3320—791no—
876#3320—791no—
877#3310—791no—
878#3310D7911yescharacteristic, complemented
879D4×SD16—791no—
880D4×SD16—791no—
881D4×SD16—791no—
882#3174—791no—
883#3174—791no—
884#3167—791no—
885#3126—791no—
886#3126—791no—
887#3123—791no—
888#3123—791no—
889#3112—791no—
890#3110—791no—
891#2966—791no—
892#2949—791no—
893#2949—791no—
894C2×C4×SD16—791no—
895C79#6148111yescharacteristic, complemented, Sylow
896C22×SD16—791no—
897C22×SD16—791no—
898C22×SD16—791no—
899#557—791no—
900#557—791no—
901#557—1581no—
902#556—791no—
903#556—1581no—
904#555—791no—
905#554—791no—
906#553—791no—
907#553—791no—
908#553—1581no—
909#552—791no—
910#552—1581no—
911#552—1581no—
912#552C2×D7911yescharacteristic, complemented
913#550—791no—
914D4×Q8—791no—
915D4×Q8—791no—
916D4×Q8—791no—
917#546—1581no—
918#546—1581no—
919#546—1581no—
920D42—791no—
921D42—791no—
922D42C2×D7911yescharacteristic
923#541—791no—
924#541—791no—
925#541—1581no—
926#541—1581no—
927#540—791no—
928#540—791no—
929#538—1581no—
930#538—1581no—
931#533—791no—
932#533—1581no—
933#532—791no—
934#529—791no—
935#529—1581no—
936#525—1581no—
937C2×#121—1581no—
938#519—791no—
939#519—791no—
940#518—791no—
941#518—791no—
942C2×C4×Q8—791no—
943C2×C4×D4—791no—
944#499—791no—
945#499—791no—
946#498—791no—
947#492—791no—
948#492—791no—
949#492—791no—
950#491—791no—
951#491—791no—
952#490—791no—
953#490C2×D7911yescharacteristic, complemented
954#487—791no—
955#486—791no—
956#485—791no—
957#485—791no—
958#485—791no—
959#485—791no—
960#484—791no—
961#484—791no—
962#482—791no—
963#482—791no—
964#482—791no—
965#482C2×D7911yescharacteristic, complemented
966#480—791no—
967#480C2×D7911yescharacteristic, complemented
968#479—791no—
969#479—791no—
970#479—791no—
971#479—791no—
972#478—791no—
973#478—791no—
974#478—791no—
975#478C2×D7911yescharacteristic
976#477—791no—
977#477—791no—
978#474—791no—
979#474—791no—
980#468—791no—
981#468—791no—
982#468—791no—
983#468C2×D7911yescharacteristic, complemented
984#465—791no—
985#465—791no—
986#465—791no—
987#465—791no—
988#465—791no—
989#465—791no—
990#465—791no—
991#465C2×D7911yescharacteristic, complemented
992#461—791no—
993#461—791no—
994#461—791no—
995#461—791no—
996#461—791no—
997#461—791no—
998#460—791no—
999#460—791no—
1000#460—791no—
1001#460—791no—
1002#460—791no—
1003#460C2×D7911yescharacteristic, complemented
1004#450—791no—
1005#450—791no—
1006#450—791no—
1007#450—791no—
1008#450C2×D7911yescharacteristic
1009#450C2×D7911yescharacteristic
1010#448—791no—
1011#448—791no—
1012#448—791no—
1013#448—791no—
1014#448—791no—
1015#448—791no—
1016#446—791no—
1017C8×Q8—791no—
1018#440—791no—
1019#440—791no—
1020#440—791no—
1021#440—791no—
1022#440—791no—
1023#440—791no—
1024#440—791no—
1025#440—791no—
1026#440—791no—
1027#440—791no—
1028#440—791no—
1029#440C2×D7911yescharacteristic
1030C4×SD16—791no—
1031C4×SD16—791no—
1032C4×SD16—791no—
1033C4×SD16—791no—
1034C4×SD16—791no—
1035C4×SD16—791no—
1036C4×SD16—791no—
1037C4×SD16—791no—
1038C4×SD16—791no—
1039C4×SD16—791no—
1040C4×SD16—791no—
1041C4×SD16—791no—
1042C4×SD16—791no—
1043C4×SD16—791no—
1044C4×SD16—791no—
1045C4×SD16—791no—
1046#436—791no—
1047#435—791no—
1048#435C2×D7911yescharacteristic, complemented
1049C8×D4—791no—
1050C8×D4—791no—
1051C8×D4—791no—
1052#433—791no—
1053#433—791no—
1054#432—791no—
1055#427—791no—
1056#427—791no—
1057C2×#106—791no—
1058#419—791no—
1059#419—791no—
1060#418—791no—
1061#418C2×D7911yescharacteristic
1062C2×#103—791no—
1063C2×#102C2×D7911yescharacteristic
1064#405—791no—
1065#405—791no—
1066C2×C4×C8—791no—
1067C2×#41—1581no—
1068C2×#41—1581no—
1069C22×Q8—791no—
1070C22×Q8—791no—
1071C22×Q8—791no—
1072C22×D4—21no—
1073C22×D4—791no—
1074C22×D4—1581no—
1075C22×D4—1581no—
1076C22×D4C22×D7911yescharacteristic
1077C22×D4C22×D7911yescharacteristic
1078C23×C4—1581no—
1079C2×SD16—791no—
1080C2×SD16—791no—
1081C2×SD16—791no—
1082C2×SD16—791no—
1083C2×SD16—791no—
1084C2×SD16—791no—
1085C2×SD16—791no—
1086C2×SD16—791no—
1087C2×SD16—791no—
1088C2×SD16—791no—
1089C2×SD16—791no—
1090C2×SD16—791no—
1091C2×SD16—791no—
1092C2×SD16—1584no—
1093C2×SD16—1584no—
1094C2×SD16—1584no—
1095C2×SD16C22×D7911yescharacteristic
1096C2×SD16C22×D7911yescharacteristic
1097C2×SD16C22×D7911yescharacteristic
1098C2×M16—791no—
1099C2×M16C22×D7911yescharacteristic
1100C22×C8—791no—
1101C22×C8—791no—
1102C22×C8—791no—
1103C22×C8C22×D7911yescharacteristic
1104C4⋊Q8—791no—
1105C4⋊Q8—791no—
1106C4⋊Q8—791no—
1107C4⋊Q8—791no—
1108C4⋊Q8—791no—
1109C4⋊Q8—1581no—
1110C4⋊Q8—1581no—
1111C4⋊Q8—1581no—
1112C4⋊Q8—1581no—
1113#127—791no—
1114#127—791no—
1115#127C22×D7911yescharacteristic
1116#126—21no—
1117#126—791no—
1118#126—791no—
1119#126—1581no—
1120#126—1581no—
1121#126—1581no—
1122#126—1581no—
1123#126—1581no—
1124#126—1581no—
1125#126—1581no—
1126#126—1581no—
1127#126—1581no—
1128#125—21no—
1129#125—791no—
1130#125—791no—
1131#125—791no—
1132#125—791no—
1133#125—1581no—
1134#125—1581no—
1135#125—1581no—
1136#125—1581no—
1137#125—1581no—
1138#125—1581no—
1139#125—1581no—
1140#125—1581no—
1141#125—1581no—
1142#125—1581no—
1143#125—1581no—
1144#125C22×D7911yescharacteristic
1145#124—791no—
1146#124—1581no—
1147#124—1581no—
1148#124—1581no—
1149#124—1581no—
1150#123—21no—
1151#123—791no—
1152#123—791no—
1153#123—1581no—
1154#123—1581no—
1155#123—1581no—
1156#123—1581no—
1157#123—1581no—
1158#123—1581no—
1159#123—1581no—
1160C22⋊Q8—791no—
1161C22⋊Q8—791no—
1162C22⋊Q8—791no—
1163C22⋊Q8—791no—
1164C22⋊Q8—791no—
1165C22⋊Q8—1581no—
1166C22⋊Q8—1581no—
1167C22⋊Q8—1581no—
1168C22⋊Q8—1581no—
1169C22⋊Q8—1581no—
1170C22⋊Q8—1581no—
1171C22⋊Q8—1581no—
1172C22⋊Q8—1581no—
1173C22⋊Q8—1581no—
1174C22⋊Q8—1581no—
1175C22⋊Q8C22×D7911yescharacteristic
1176C22⋊Q8C22×D7911yescharacteristic
1177#121—21no—
1178#121—791no—
1179#121—791no—
1180#121—791no—
1181#121—791no—
1182#121—791no—
1183#121—1581no—
1184#121—1581no—
1185#121—1581no—
1186#121—1581no—
1187#121—1581no—
1188#121—1581no—
1189#121—1581no—
1190#121—1581no—
1191#121—1581no—
1192#121—1581no—
1193#121—1581no—
1194#121—1581no—
1195#121—1581no—
1196#121C22×D7911yescharacteristic
1197#121C22×D7911yescharacteristic
1198#120—21no—
1199#120—21no—
1200#120—1581no—
1201#120—1581no—
1202#120—1581no—
1203#120—1581no—
1204C4×Q8—791no—
1205C4×Q8—791no—
1206C4×Q8—791no—
1207C4×Q8—791no—
1208C4×Q8—791no—
1209C4×Q8—791no—
1210C4×Q8—791no—
1211C4×Q8—791no—
1212C4×Q8—791no—
1213C4×Q8—791no—
1214C4×Q8—1581no—
1215C4×Q8—1581no—
1216C4×Q8—1581no—
1217C4×Q8—1581no—
1218C4×Q8—1581no—
1219C4×Q8—1581no—
1220C4×Q8—1581no—
1221C4×Q8—1581no—
1222C4×Q8—1581no—
1223C4×Q8—1581no—
1224C4×Q8C22×D7911yescharacteristic
1225C4×D4—791no—
1226C4×D4—791no—
1227C4×D4—791no—
1228C4×D4—791no—
1229C4×D4—791no—
1230C4×D4—791no—
1231C4×D4—791no—
1232C4×D4—791no—
1233C4×D4—791no—
1234C4×D4—791no—
1235C4×D4—791no—
1236C4×D4—1581no—
1237C4×D4—1581no—
1238C4×D4—1581no—
1239C4×D4—1581no—
1240C4×D4—1581no—
1241C4×D4—1581no—
1242C4×D4—1581no—
1243C4×D4—1581no—
1244C4×D4—1581no—
1245C4×D4—1581no—
1246C4×D4—1581no—
1247C4×D4—1581no—
1248C4×D4C22×D7911yescharacteristic
1249C4×D4C22×D7911yescharacteristic
1250#117—21no—
1251#117—791no—
1252#117—791no—
1253#117—791no—
1254#117—791no—
1255#117—791no—
1256#117—1581no—
1257#117—1581no—
1258#117—1581no—
1259#117—1581no—
1260#117—1581no—
1261#117—1581no—
1262#117—1581no—
1263#117C22×D7911yescharacteristic
1264C2×C4⋊C4—791no—
1265C2×C4⋊C4—1581no—
1266C2×C4⋊C4—1581no—
1267C2×C4⋊C4C22×D7911yescharacteristic
1268C2×C22⋊C4—1581no—
1269C2×C22⋊C4—1581no—
1270C2×C22⋊C4—1581no—
1271C2×C22⋊C4—1581no—
1272C2×C22⋊C4—1581no—
1273C2×C42—791no—
1274C2×C42—1581no—
1275#107—791no—
1276#107—791no—
1277#107—791no—
1278#107—791no—
1279#107—791no—
1280#107—791no—
1281#107C22×D7911yescharacteristic
1282#107C22×D7911yescharacteristic
1283#106—791no—
1284#106—791no—
1285#106—791no—
1286#106—791no—
1287#106—791no—
1288#106—791no—
1289#106—791no—
1290#106C22×D7911yescharacteristic
1291C4⋊C8—791no—
1292C4⋊C8—791no—
1293C4⋊C8—791no—
1294C4⋊C8—791no—
1295C4⋊C8—791no—
1296C4⋊C8C22×D7911yescharacteristic
1297#103—791no—
1298#103—791no—
1299#103—791no—
1300#103—791no—
1301#103—791no—
1302#103—791no—
1303#103—791no—
1304#103—791no—
1305#103—791no—
1306#103—791no—
1307#103—791no—
1308#103—791no—
1309#103—791no—
1310#103—791no—
1311#103—791no—
1312#103C22×D7911yescharacteristic
1313#102—791no—
1314#102—791no—
1315#102—791no—
1316#102—791no—
1317#102—791no—
1318#102—791no—
1319#102—791no—
1320#102C22×D7911yescharacteristic
1321#102C22×D7911yescharacteristic
1322#102C22×D7911yescharacteristic
1323#102C22×D7911yescharacteristic
1324#102C22×D7911yescharacteristic
1325#102C22×D7911yescharacteristic
1326#102C22×D7911yescharacteristic
1327#102C22×D7911yescharacteristic
1328#102C22×D7911yescharacteristic
1329C22⋊C8—791no—
1330C22⋊C8—791no—
1331C22⋊C8—791no—
1332C22⋊C8—791no—
1333C22⋊C8C22×D7911yescharacteristic
1334C22⋊C8C22×D7911yescharacteristic
1335#97—791no—
1336#97—791no—
1337#97—791no—
1338#97C22×D7911yescharacteristic
1339C4×C8—791no—
1340C4×C8—791no—
1341C4×C8—791no—
1342C4×C8—791no—
1343C4×C8—791no—
1344C4×C8—791no—
1345C24—21no—
1346C24—21no—
1347C24—1581no—
1348#41—6322no—
1349#41—6322no—
1350C2×Q8—3161no—
1351C2×Q8—3161no—
1352C2×Q8—3161no—
1353C2×Q8—791no—
1354C2×Q8—791no—
1355C2×Q8—791no—
1356C2×Q8—791no—
1357C2×Q8—1582no—
1358C2×Q8—1582no—
1359C2×Q8—1581no—
1360C2×Q8—1581no—
1361C2×Q8—1581no—
1362C2×Q8—1582no—
1363C2×Q8—1581no—
1364C2×Q8—1581no—
1365C2×Q8C23×D7911yescharacteristic
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—82no—
1377C2×D4—3161no—
1378C2×D4—791no—
1379C2×D4—791no—
1380C2×D4—791no—
1381C2×D4—6322no—
1382C2×D4—6322no—
1383C2×D4—1581no—
1384C2×D4—1581no—
1385C2×D4—1581no—
1386C2×D4—1581no—
1387C2×D4—1581no—
1388C2×D4—1581no—
1389C2×D4—1582no—
1390C2×D4—1581no—
1391C2×D4—1581no—
1392C2×D4—1581no—
1393C2×D4D4×D7911yescharacteristic
1394C2×D4C23×D7911yescharacteristic
1395C2×D4C23×D7911yescharacteristic
1396C2×D4C23×D7911yescharacteristic
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—791no—
1400C22×C4—791no—
1401C22×C4—791no—
1402C22×C4—6322no—
1403C22×C4—1581no—
1404C22×C4—1581no—
1405C22×C4—1581no—
1406C22×C4—1581no—
1407C22×C4—1581no—
1408C22×C4—1581no—
1409C22×C4—1581no—
1410C22×C4—1581no—
1411C22×C4—1581no—
1412C22×C4—1581no—
1413C22×C4—1581no—
1414C22×C4—1581no—
1415C22×C4—1581no—
1416C22×C4C23×D7911yescharacteristic
1417C22×C4C23×D7911yescharacteristic
1418SD16—22no—
1419SD16—41no—
1420SD16—41no—
1421SD16—3161no—
1422SD16—3161no—
1423SD16—3161no—
1424SD16—3161no—
1425SD16—794no—
1426SD16—1582no—
1427SD16—1582no—
1428SD16—1582no—
1429SD16—1582no—
1430SD16—1582no—
1431SD16—1582no—
1432SD16—1582no—
1433SD16—1582no—
1434M16—41no—
1435M16—3161no—
1436C2×C8—41no—
1437C2×C8—791no—
1438C2×C8—791no—
1439C2×C8—791no—
1440C2×C8—791no—
1441C2×C8—1582no—
1442C2×C8—1582no—
1443C2×C8—1582no—
1444C2×C8C23×D7911yescharacteristic
1445C2×C8C23×D7911yescharacteristic
1446C2×C8C23×D7911yescharacteristic
1447C2×C8C23×D7911yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—791no—
1455C4⋊C4—791no—
1456C4⋊C4—791no—
1457C4⋊C4—791no—
1458C4⋊C4—791no—
1459C4⋊C4—791no—
1460C4⋊C4—791no—
1461C4⋊C4—791no—
1462C4⋊C4—791no—
1463C4⋊C4—791no—
1464C4⋊C4—791no—
1465C4⋊C4—791no—
1466C4⋊C4—791no—
1467C4⋊C4—1581no—
1468C4⋊C4—1581no—
1469C4⋊C4—1581no—
1470C4⋊C4—1581no—
1471C4⋊C4—1581no—
1472C4⋊C4—1581no—
1473C4⋊C4—1581no—
1474C4⋊C4—1581no—
1475C4⋊C4—1581no—
1476C4⋊C4—1581no—
1477C4⋊C4—1581no—
1478C4⋊C4—1581no—
1479C4⋊C4—1581no—
1480C4⋊C4—1581no—
1481C4⋊C4—1581no—
1482C4⋊C4—1581no—
1483C4⋊C4—1581no—
1484C4⋊C4—1581no—
1485C4⋊C4—1581no—
1486C4⋊C4—1581no—
1487C4⋊C4—1581no—
1488C4⋊C4—1581no—
1489C4⋊C4—1581no—
1490C4⋊C4—1581no—
1491C4⋊C4—1581no—
1492C4⋊C4—1581no—
1493C4⋊C4—1581no—
1494C4⋊C4—1581no—
1495C4⋊C4D4×D7911yescharacteristic
1496C4⋊C4C23×D7911yescharacteristic
1497C4⋊C4C23×D7911yescharacteristic
1498C4⋊C4C23×D7911yescharacteristic
1499C4⋊C4C23×D7911yescharacteristic
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—791no—
1507C22⋊C4—791no—
1508C22⋊C4—791no—
1509C22⋊C4—791no—
1510C22⋊C4—791no—
1511C22⋊C4—791no—
1512C22⋊C4—791no—
1513C22⋊C4—791no—
1514C22⋊C4—1581no—
1515C22⋊C4—1581no—
1516C22⋊C4—1581no—
1517C22⋊C4—1581no—
1518C22⋊C4—1581no—
1519C22⋊C4—1581no—
1520C22⋊C4—1581no—
1521C22⋊C4—1581no—
1522C22⋊C4—1581no—
1523C22⋊C4—1581no—
1524C22⋊C4—1581no—
1525C22⋊C4—1581no—
1526C22⋊C4—1581no—
1527C22⋊C4—1581no—
1528C22⋊C4—1581no—
1529C22⋊C4—1581no—
1530C22⋊C4—1581no—
1531C22⋊C4—1581no—
1532C22⋊C4—1581no—
1533C22⋊C4—1581no—
1534C22⋊C4D4×D7911yescharacteristic
1535C22⋊C4D4×D7911yescharacteristic
1536C42—21no—
1537C42—21no—
1538C42—791no—
1539C42—791no—
1540C42—791no—
1541C42—791no—
1542C42—791no—
1543C42—1581no—
1544C42—1581no—
1545C42—1581no—
1546C42—1581no—
1547C42—1581no—
1548C42—1581no—
1549C42—1581no—
1550C42—1581no—
1551C42—1581no—
1552C42—1581no—
1553C42—1581no—
1554C42—1581no—
1555C42C23×D7911yescharacteristic
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—42no—
1560C23—42no—
1561C23—42no—
1562C23—81no—
1563C23—81no—
1564C23—81no—
1565C23—3162no—
1566C23—791no—
1567C23—6321no—
1568C23—6321no—
1569C23—1581no—
1570C23C2×D4×D7911yescharacteristic
1571C23C2×D4×D7911yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—3162no—
1575Q8—3162no—
1576Q8—3162no—
1577Q8—3162no—
1578Q8—792no—
1579Q8—6321no—
1580Q8—1582no—
1581Q8—1581no—
1582Q8—1581no—
1583Q8—1581no—
1584Q8—1581no—
1585Q8—1581no—
1586D4—22no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—42no—
1593D4—42no—
1594D4—42no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—3162no—
1599D4—3162no—
1600D4—3162no—
1601D4—6321no—
1602D4—6321no—
1603D4—6321no—
1604D4—6321no—
1605D4—6321no—
1606D4—6321no—
1607D4—1582no—
1608D4—1582no—
1609D4—1581no—
1610D4—1581no—
1611D4#41×D7912yes—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—42no—
1622C2×C4—81no—
1623C2×C4—3162no—
1624C2×C4—3162no—
1625C2×C4—3162no—
1626C2×C4—3162no—
1627C2×C4—3162no—
1628C2×C4—791no—
1629C2×C4—791no—
1630C2×C4—791no—
1631C2×C4—791no—
1632C2×C4—791no—
1633C2×C4—791no—
1634C2×C4—791no—
1635C2×C4—6321no—
1636C2×C4—6321no—
1637C2×C4—6321no—
1638C2×C4—6321no—
1639C2×C4—6321no—
1640C2×C4—6321no—
1641C2×C4—6321no—
1642C2×C4—6321no—
1643C2×C4—1581no—
1644C2×C4—1581no—
1645C2×C4—1581no—
1646C2×C4—1581no—
1647C2×C4—1581no—
1648C2×C4—1581no—
1649C2×C4—1582no—
1650C2×C4—1582no—
1651C2×C4—1581no—
1652C2×C4—1581no—
1653C2×C4—1581no—
1654C2×C4C2×D4×D7911yescharacteristic
1655C2×C4C2×D4×D7911yescharacteristic
1656C2×C4C2×D4×D7911yescharacteristic
1657C2×C4C2×D4×D7911yescharacteristic
1658C2×C4C24×D7911yescharacteristic
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—792no—
1664C8—1581no—
1665C8—1581no—
1666C8—1581no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—22no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—84no—
1682C22—162no—
1683C22—3161no—
1684C22—3161no—
1685C22—3161no—
1686C22—1581no—
1687C22—1581no—
1688C22—1581no—
1689C22—12642no—
1690C22#1909937312yes—
1691C22C22×D4×D7911yescharacteristic
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—3161no—
1702C4—3161no—
1703C4—3161no—
1704C4—3161no—
1705C4—3161no—
1706C4—3161no—
1707C4—792no—
1708C4—1581no—
1709C4—1581no—
1710C4—1581no—
1711C4—1581no—
1712C4—1581no—
1713C4—1582no—
1714C4—1581no—
1715C4C2×#41×D7911yescharacteristic
1716C4#1909939811yescharacteristic
1717C2—22no—
1718C2—41no—
1719C2—42no—
1720C2—81no—
1721C2—81no—
1722C2—3161no—
1723C2—6321no—
1724C2#2377688411yescharacteristic
1725C2#577×D7911yescharacteristic
1726C2C2×#1909937311yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3310C2
socleC22×C79C23×D4
prime radical#23777419C2
hypercenter#3310D79
hypocenterC79#61481
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #23777489C2semidirect
3. #23776380C2semidirect
4. #23776270C2semidirect
5. #23776182C2semidirect
6. #23776126C2semidirect
7. #23775811C2semidirect
8. #23775783C2semidirect
9. #23775779C2semidirect
10. #23775689C2semidirect
11. #23775627C2semidirect
12. #23775577C2semidirect
13. #23775573C2semidirect
14. #23775417C2semidirect
15. #23775094C2semidirect
16. #23775094C2semidirect
17. D4×#11929612C2semidirect
18. #23774027C2semidirect
19. #23774023C2semidirect
20. #23773954C2semidirect
21. #23773689C2semidirect
22. #23773687C2semidirect
23. #23773654C2semidirect
24. #23773646C2semidirect
25. #23773519C2semidirect
26. #23773494C2semidirect
27. #23772370C2semidirect
28. #23772262C2semidirect
29. #23772256C2semidirect
30. C2×#19098654C2semidirect
31. C79×#3310C2semidirect
35. #19099291C22semidirect
37. #19099290C22semidirect
38. #19099281C22semidirect
46. #19099248C22semidirect
49. D4×Dic158C22semidirect
50. #19099226C22semidirect
51. #19099226C22semidirect
57. #19099176C22semidirect
58. #19099173C22semidirect
66. #19099115C22semidirect
72. #19099040C22semidirect
73. #19099039C22semidirect
76. C2×#14579126C22semidirect
78. #19098964C22semidirect
79. #19098962C22semidirect
80. #19098960C22semidirect
81. #19098935C22semidirect
82. #19098934C22semidirect
83. #19098934C22semidirect
84. #19098932C22semidirect
85. #19098930C22semidirect
86. #19098926C22semidirect
87. #19098912C22semidirect
88. #19098908C22semidirect
89. #19098907C22semidirect
90. #19098906C22semidirect
91. #19098905C22semidirect
92. #19098901C22semidirect
93. #19098899C22semidirect
94. #19098896C22semidirect
95. #19098887C22semidirect
96. #19098886C22semidirect
97. #19098885C22semidirect
98. #19098876C22semidirect
99. #19098873C22semidirect
100. #19098871C22semidirect
101. #19098870C22semidirect
102. #19098869C22semidirect
104. #19098861C22semidirect
105. #19098860C22semidirect
106. #19098857C22semidirect
107. #19098857C22semidirect
109. #19098841C22semidirect
110. #19098809C22semidirect
111. #19098808C22semidirect
112. #19098808C22semidirect
113. #19098794C22semidirect
114. #19098794C22semidirect
115. #19098792C22semidirect
116. #19098791C22semidirect
117. #19098791C22semidirect
118. #19098790C22semidirect
119. #19098790C22semidirect
120. #19098769C22semidirect
124. #19098766C22semidirect
125. #19098766C22semidirect
126. #19098762C22semidirect
127. #19098762C22semidirect
128. #19098762C22semidirect
129. #19098762C22semidirect
130. #19098760C22semidirect
135. #19098704C22semidirect
136. #19098704C22semidirect
137. #19098701C22semidirect
138. #19098701C22semidirect
139. #19098700C22semidirect
140. #19098700C22semidirect
141. #19098691C22semidirect
142. #19098687C22semidirect
143. #19098665C22semidirect
145. #19098664C22semidirect
146. #19098662C22semidirect
147. #19098662C22semidirect
150. #19098660C22semidirect
151. #19098660C22semidirect
152. #19098660C22semidirect
153. #19098660C22semidirect
159. #19098654C22semidirect
160. #19098654C22semidirect
161. #19098654C22semidirect
162. #19098654C22semidirect
163. #19098654C22semidirect
164. #19098654C22semidirect
165. SD16×Dic79C22semidirect
166. C4×#11929611C22semidirect
167. #19098650C22semidirect
169. #19098648C22semidirect
170. #19098639C22semidirect
171. #19098634C22semidirect
172. D4×C79⋊C8C22semidirect
173. (C22⋊D79)⋊C8C22semidirect
174. (C22⋊D79)⋊C8C22semidirect
175. #19098623C22semidirect
176. #19098621C22semidirect
177. #19098617C22semidirect
178. #19098600C22semidirect
179. #19098599C22semidirect
180. C2×#14579092C22semidirect
181. #19098573C22semidirect
182. #19098570C22semidirect
184. C2×#14579086C22semidirect
185. #19098521C22semidirect
186. #19098520C22semidirect
187. C2×C8×Dic79C22semidirect
188. #552×C79C22semidirect
190. #490×C79C22semidirect
191. #482×C79C22semidirect
192. #480×C79C22semidirect
194. #468×C79C22semidirect
195. #465×C79C22semidirect
196. #460×C79C22semidirect
200. #435×C79C22semidirect
543. #11929612#41semidirect
878. #3310D79semidirect
895. C79#61481semidirect
912. #552C2×D79semidirect
953. #490C2×D79semidirect
965. #482C2×D79semidirect
967. #480C2×D79semidirect
983. #468C2×D79semidirect
991. #465C2×D79semidirect
1003. #460C2×D79semidirect
1048. #435C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774892
#237774192
#237763802
#237762702
#237761822
#237761262
#237758112
#237757832
#237757792
#237756892
#237756272
#237755772
#237755732
#237754172
#237750942
D4×#119296122
#237740272
#237740232
#237739542
#237736892
#237736872
#237736542
#237736462
#237735192
#237734942
#237723702
#237722622
#237722562
C2×#190986542
C79×#33102
#6148179