Finite Group Databasebeta

← #35181857

Subgroups — #35181857

Order 20224.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777918C211yesmaximal, characteristic
2#23777490C211yesmaximal, characteristic, complemented
3#23776456C211yesmaximal, characteristic, complemented
4#23776452C211yesmaximal, characteristic, complemented
5#23776172C211yesmaximal, characteristic, complemented
6#23776161C211yesmaximal, characteristic, complemented
7#23775437C211yesmaximal, characteristic, complemented
8#23775432C211yesmaximal, characteristic, complemented
9#23775428C211yesmaximal, characteristic, complemented
10#23775422C211yesmaximal, characteristic, complemented
11#23775294C211yesmaximal, characteristic, complemented
12#23775288C211yesmaximal, characteristic, complemented
13#23775091C211yesmaximal, characteristic, complemented
14SD16×C22⋊D79C211yesmaximal, characteristic, complemented
15#23774965C211yesmaximal, characteristic, complemented
16#23774964C211yesmaximal, characteristic, complemented
17#23774910C211yesmaximal, characteristic, complemented
18#23774904C211yesmaximal, characteristic, complemented
19#23774831C211yesmaximal, characteristic, complemented
20#23774828C211yesmaximal, characteristic, complemented
21#23774714C211yesmaximal, characteristic, complemented
22#23774472C211yesmaximal, characteristic, complemented
23#23774471C211yesmaximal, characteristic, complemented
24#23774401C211yesmaximal, characteristic, complemented
25#23773629C211yesmaximal, characteristic, complemented
26#23773626C211yesmaximal, characteristic, complemented
27#23773521C211yesmaximal, characteristic, complemented
28#23772916C211yesmaximal, characteristic, complemented
29#464×D79C211yesmaximal, characteristic, complemented
30#23772537C211yesmaximal, characteristic, complemented
31C79×#3043C211yesmaximal, characteristic, complemented
32C2×#14579190C2211yescharacteristic, complemented
33C2×Q16×D79C2211yescharacteristic, complemented
34C2×SD16×D79C2211yescharacteristic
35C2×SD16×D79C2211yescharacteristic, complemented
36#19099308—21no—
37#19099306—21no—
38#19099299C2211yescharacteristic
39#19099295C2211yescharacteristic
40#19099291—21no—
41#19099291C2211yescharacteristic, complemented
42#19099289C2211yescharacteristic, complemented
43#19099281—21no—
44#19099281C2211yescharacteristic, complemented
45#19099254—21no—
46#19099254C2211yescharacteristic, complemented
47#19099252—21no—
48#19099252C2211yescharacteristic, complemented
49Q8×D316C2211yescharacteristic, complemented
50Q8×C22⋊D79C2211yescharacteristic, complemented
51Q8×C22⋊D79C2211yescharacteristic, complemented
52#19099221C2211yescharacteristic
53#19099220C2211yescharacteristic
54#19099207C2211yescharacteristic
55#19099202—21no—
56#19099201C2211yescharacteristic
57#19099200—21no—
58#19099198C2211yescharacteristic
59D4×C22⋊D79C2211yescharacteristic
60#19099184C2211yescharacteristic
61#19099182C2211yescharacteristic
62#19099175—21no—
63#19099175C2211yescharacteristic, complemented
64#19099171—21no—
65#19099171C2211yescharacteristic, complemented
66#19099150—21no—
67#19099148—21no—
68#19099145—21no—
69#19099126C2211yescharacteristic
70#19099123—21no—
71#19099117—21no—
72#19099117C2211yescharacteristic, complemented
73#19099111C2211yescharacteristic
74#19099091—21no—
75#19099091C2211yescharacteristic
76#124×D79C2211yescharacteristic
77#19099039C2211yescharacteristic, complemented
78C4×Q8×D79C2211yescharacteristic, complemented
79#19098958C2211yescharacteristic, complemented
80#19098956C2211yescharacteristic, complemented
81#19098954C2211yescharacteristic, complemented
82#19098954C2211yescharacteristic, complemented
83#19098935C2211yescharacteristic
84#19098934C2211yescharacteristic
85#19098927C2211yescharacteristic
86#19098926C2211yescharacteristic
87#19098924C2211yescharacteristic, complemented
88#19098921C2211yescharacteristic, complemented
89#19098917C2211yescharacteristic, complemented
90#19098916C2211yescharacteristic, complemented
91#19098904C2211yescharacteristic, complemented
92#19098902C2211yescharacteristic, complemented
93#19098887C2211yescharacteristic
94#19098886C2211yescharacteristic
95#19098875C2211yescharacteristic, complemented
96#19098875C2211yescharacteristic, complemented
97#19098872C2211yescharacteristic, complemented
98#19098871C2211yescharacteristic, complemented
99#19098864C2211yescharacteristic, complemented
100#19098861C2211yescharacteristic, complemented
101#19098859C2211yescharacteristic, complemented
102#19098858C2211yescharacteristic, complemented
103#19098851C2211yescharacteristic, complemented
104#19098851C2211yescharacteristic, complemented
105#19098849C2211yescharacteristic, complemented
106#19098848C2211yescharacteristic, complemented
107#19098821C2211yescharacteristic, complemented
108#19098820C2211yescharacteristic, complemented
109#19098809C2211yescharacteristic
110#19098806C2211yescharacteristic
111#19098804C2211yescharacteristic, complemented
112#19098801C2211yescharacteristic, complemented
113#19098792C2211yescharacteristic
114#19098791C2211yescharacteristic
115#19098791C2211yescharacteristic, complemented
116#19098791C2211yescharacteristic, complemented
117#19098789C2211yescharacteristic, complemented
118#19098789C2211yescharacteristic, complemented
119#19098788C2211yescharacteristic, complemented
120#19098787C2211yescharacteristic, complemented
121#19098786C2211yescharacteristic, complemented
122#19098786C2211yescharacteristic, complemented
123#19098785C2211yescharacteristic, complemented
124#19098785C2211yescharacteristic, complemented
125#19098784C2211yescharacteristic, complemented
126#19098784C2211yescharacteristic, complemented
127#19098783C2211yescharacteristic, complemented
128#19098783C2211yescharacteristic, complemented
129#19098782C2211yescharacteristic, complemented
130#19098782C2211yescharacteristic, complemented
131#19098774C2211yescharacteristic, complemented
132#19098771C2211yescharacteristic, complemented
133#19098769C2211yescharacteristic, complemented
134#19098766C2211yescharacteristic, complemented
135#19098766C2211yescharacteristic, complemented
136#19098766C2211yescharacteristic, complemented
137#19098762C2211yescharacteristic
138#19098761C2211yescharacteristic
139#19098760C2211yescharacteristic, complemented
140#19098760C2211yescharacteristic, complemented
141#19098726C2211yescharacteristic, complemented
142#19098725C2211yescharacteristic, complemented
143#19098725C2211yescharacteristic, complemented
144#19098722C2211yescharacteristic, complemented
145#19098720C2211yescharacteristic, complemented
146#19098719C2211yescharacteristic, complemented
147#19098717C2211yescharacteristic, complemented
148#19098717C2211yescharacteristic, complemented
149#19098715C2211yescharacteristic
150#19098715C2211yescharacteristic, complemented
151#19098714C2211yescharacteristic, complemented
152#19098714C2211yescharacteristic, complemented
153#19098712C2211yescharacteristic
154#19098712C2211yescharacteristic, complemented
155#19098702C2211yescharacteristic
156#19098700C2211yescharacteristic
157#19098700C2211yescharacteristic, complemented
158#19098700C2211yescharacteristic, complemented
159#19098692C2211yescharacteristic, complemented
160#19098690C2211yescharacteristic, complemented
161#19098670C2211yescharacteristic, complemented
162#19098668C2211yescharacteristic, complemented
163#19098664C2211yescharacteristic, complemented
164#19098664C2211yescharacteristic, complemented
165#19098661C2211yescharacteristic, complemented
166#19098660C2211yescharacteristic, complemented
167#19098660C2211yescharacteristic, complemented
168#19098660C2211yescharacteristic, complemented
169C4×#11929614C2211yescharacteristic, complemented
170#19098655C2211yescharacteristic, complemented
171SD16×Dic79C2211yescharacteristic, complemented
172C4×#11929611C2211yescharacteristic, complemented
173#19098634C2211yescharacteristic, complemented
174#19098633C2211yescharacteristic, complemented
175#19098632C2211yescharacteristic, complemented
176#19098632C2211yescharacteristic, complemented
177#19098628C2211yescharacteristic, complemented
178C8×C22⋊D79C2211yescharacteristic, complemented
179#19098624C2211yescharacteristic, complemented
180#19098623C2211yescharacteristic, complemented
181#19098619C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183C4⋊C8×D79C2211yescharacteristic, complemented
184#19098566C2211yescharacteristic, complemented
185#19098556C2211yescharacteristic, complemented
186#103×D79C2211yescharacteristic, complemented
187#102×D79C2211yescharacteristic
188C2×#137×C79C2211yescharacteristic, complemented
189C22×SD16×C79C2211yescharacteristic, complemented
190#535×C79C2211yescharacteristic
191#519×C79C2211yescharacteristic, complemented
192#464×C79C2211yescharacteristic, complemented
193#464×C79C2211yescharacteristic, complemented
194#464×C79C2211yescharacteristic, complemented
195#464×C79C2211yescharacteristic, complemented
196#460×C79C2211yescharacteristic
197#460×C79C2211yescharacteristic
198#460×C79C2211yescharacteristic, complemented
199#460×C79C2211yescharacteristic, complemented
200#424×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic, complemented
202#416×C79C2211yescharacteristic, complemented
203C2×#11929623—21no—
204C2×#11929623C2311yescharacteristic
205C2×Q8×D79C2311yescharacteristic
206C2×Q8×D79C2311yescharacteristic
207C2×Q8×D79C2311yescharacteristic
208C22×C22⋊D79—21no—
209C2×D4×D79—21no—
210C2×D4×D79C2311yescharacteristic
211C2×D4×D79C2311yescharacteristic
212#14579190—42no—
213C2×Dic316C2311yescharacteristic
214C2×Dic316C2311yescharacteristic
215C2×#11929614C2311yescharacteristic
216C2×#11929614C2311yescharacteristic
217C2×#11929614C2311yescharacteristic
218C2×#11929614C2311yescharacteristic
219Q16×D79—42no—
220C2×#11929613C2311yescharacteristic
221C2×#11929613C2311yescharacteristic
222C2×#11929612C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
225C2×#11929612C2311yescharacteristic
226C2×#11929612C2311yescharacteristic
227C2×#11929612C2311yescharacteristic
228C2×#11929611C2311yescharacteristic
229C2×#11929611C2311yescharacteristic
230SD16×D79—42no—
231SD16×D79—42no—
232C2×#11929607C2311yescharacteristic
233C2×C8×D79C2311yescharacteristic
234C2×C8×D79C2311yescharacteristic
235C2×C8×D79C2311yescharacteristic
236#14579161—21no—
237#14579161C2311yescharacteristic
238#14579161C2311yescharacteristic
239#14579160—21no—
240#14579160C2311yescharacteristic
241#14579159—21no—
242#14579159—21no—
243#14579159C2311yescharacteristic
244#14579159C2311yescharacteristic
245#14579157C2311yescharacteristic
246#14579156—21no—
247#14579156—21no—
248#14579156D411yescharacteristic
249#14579155—21no—
250#14579155—21no—
251#14579155—21no—
252#14579154—21no—
253#14579154—21no—
254#14579154—21no—
255#14579154—21no—
256#14579154—21no—
257#14579154D411yescharacteristic
258#14579153—21no—
259#14579153—21no—
260#14579153—21no—
261#14579153—21no—
262#14579153C2311yescharacteristic
263#14579152—21no—
264#14579152C2311yescharacteristic
265#14579151—21no—
266#14579151—21no—
267#14579151—21no—
268#14579151—21no—
269#14579151—21no—
270#14579151—21no—
271#14579151—21no—
272#14579151D411yescharacteristic
273#14579150C2311yescharacteristic
274#14579149C2311yescharacteristic
275#14579148—21no—
276#14579148—21no—
277#14579148—21no—
278#14579148C2311yescharacteristic
279#14579148C2311yescharacteristic
280#14579147—21no—
281#14579147—21no—
282#14579147—21no—
283#14579147—21no—
284#14579147—21no—
285#14579147—21no—
286#14579147—21no—
287#14579147D411yescharacteristic
288#14579146—21no—
289#14579146D411yescharacteristic
290#14579145—21no—
291#14579145—21no—
292#14579144—21no—
293#14579143—21no—
294#14579143—21no—
295#14579143—21no—
296#14579143D411yescharacteristic
297#14579142—21no—
298#14579142—21no—
299#14579142—21no—
300#14579141—21no—
301#14579141—21no—
302#14579141C2311yescharacteristic
303#14579141C2311yescharacteristic
304#14579140—21no—
305#14579140—21no—
306#14579140—21no—
307#14579140C2311yescharacteristic
308#14579140C2311yescharacteristic
309#14579140C2311yescharacteristic
310#14579139—21no—
311#14579139—21no—
312#14579139D411yescharacteristic
313#14579138—21no—
314#14579138—21no—
315#14579137—21no—
316#14579137—21no—
317#14579137C2311yescharacteristic
318#14579137C2311yescharacteristic
319#14579137C2311yescharacteristic
320#14579135C2311yescharacteristic
321#14579134—21no—
322#14579134D411yescharacteristic
323#14579133—21no—
324#14579133—21no—
325#14579133—21no—
326#14579133—21no—
327#14579133—21no—
328#14579132—21no—
329#14579132—21no—
330#14579132—21no—
331#14579132C2311yescharacteristic
332#14579132C2311yescharacteristic
333#14579132C2311yescharacteristic
334#14579130—21no—
335#14579130—21no—
336#14579129—21no—
337#14579129—21no—
338#14579129—21no—
339#14579129—21no—
340#14579129—21no—
341#14579129—21no—
342Q8×Dic79C2311yescharacteristic
343Q8×Dic79C2311yescharacteristic
344Q8×Dic79C2311yescharacteristic
345C4×Dic158—21no—
346C4×Dic158—21no—
347C4×Dic158—21no—
348C4×Dic158—21no—
349C4×Dic158—21no—
350C4×Dic158—21no—
351C4×Dic158C2311yescharacteristic
352C4×Dic158C2311yescharacteristic
353C4×Dic158C2311yescharacteristic
354C4×Dic158C2311yescharacteristic
355#14579126—21no—
356#14579126—21no—
357#14579126C2311yescharacteristic
358#14579126C2311yescharacteristic
359C4×D316—21no—
360C4×D316C2311yescharacteristic
361C4×D316C2311yescharacteristic
362D4×Dic79—21no—
363D4×Dic79—21no—
364D4×Dic79C2311yescharacteristic
365D4×Dic79C2311yescharacteristic
366D4×Dic79C2311yescharacteristic
367C4×C22⋊D79—21no—
368C4×C22⋊D79—21no—
369C4×C22⋊D79—21no—
370C4×C22⋊D79C2311yescharacteristic
371C4×C22⋊D79C2311yescharacteristic
372(C22⋊D79)⋊C4—21no—
373(C22⋊D79)⋊C4—21no—
374#14579119—21no—
375#14579119C2311yescharacteristic
376#14579118—21no—
377#14579118—21no—
378#14579118—21no—
379#14579118—21no—
380#14579118C2311yescharacteristic
381C4⋊C4×D79—21no—
382C4⋊C4×D79C2311yescharacteristic
383C2×C22⋊Dic79—21no—
384C2×(C2×D79)⋊C4—21no—
385C22⋊C4×D79—21no—
386C22⋊C4×D79—21no—
387C42×D79—21no—
388C42×D79C2311yescharacteristic
389#14579095C2311yescharacteristic
390#14579095C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579094C2311yescharacteristic
393#14579093C2311yescharacteristic
394#14579093C2311yescharacteristic
395#14579092C2311yescharacteristic
396#14579092C2311yescharacteristic
397C4⋊(C79⋊C8)C2311yescharacteristic
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#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579085C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427C22⋊(C79⋊C8)C2311yescharacteristic
428C22⋊(C79⋊C8)C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430(C2×D79)⋊C8C2311yescharacteristic
431(C2×D79)⋊C8C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433#14579072C2311yescharacteristic
434#14579071C2311yescharacteristic
435#14579071C2311yescharacteristic
436#14579071C2311yescharacteristic
437C4×C79⋊C8C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C22×Q8×C79C2311yescharacteristic
441C22×D4×C79C2311yescharacteristic
442#137×C79—42no—
443C2×Q16×C79C2311yescharacteristic
444C2×Q16×C79C2311yescharacteristic
445C2×SD16×C79—42no—
446C2×SD16×C79C2311yescharacteristic
447C2×SD16×C79C2311yescharacteristic
448C2×SD16×C79C2311yescharacteristic
449C2×SD16×C79C2311yescharacteristic
450C2×SD16×C79C2311yescharacteristic
451C2×SD16×C79C2311yescharacteristic
452C2×M16×C79C2311yescharacteristic
453C22×C8×C79C2311yescharacteristic
454#127×C79C2311yescharacteristic
455#127×C79C2311yescharacteristic
456#124×C79C2311yescharacteristic
457#124×C79C2311yescharacteristic
458#121×C79—21no—
459#121×C79—21no—
460#120×C79—21no—
461#120×C79—21no—
462C4×Q8×C79—21no—
463C4×Q8×C79—21no—
464C4×Q8×C79C2311yescharacteristic
465C4×Q8×C79C2311yescharacteristic
466C4×Q8×C79C2311yescharacteristic
467C4×Q8×C79C2311yescharacteristic
468#117×C79—21no—
469#117×C79—21no—
470#117×C79C2311yescharacteristic
471#117×C79C2311yescharacteristic
472C4⋊C8×C79C2311yescharacteristic
473C4⋊C8×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475C4⋊C8×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481#102×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486#11929623—41no—
487#11929623—41no—
488#11929623—82no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158C2×D411yescharacteristic
495C2×Dic158C2411yescharacteristic
496C2×Dic158C2411yescharacteristic
497C2×Dic158C2411yescharacteristic
498Q8×D79—22no—
499Q8×D79—22no—
500Q8×D79—41no—
501Q8×D79—41no—
502Q8×D79—41no—
503Q8×D79—41no—
504C2×D316C2×D411yescharacteristic
505C2×D316C2411yescharacteristic
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—82no—
516C2×C22⋊D79C2×D411yescharacteristic
517C2×C22⋊D79C2×D411yescharacteristic
518D4×D79—41no—
519D4×D79—41no—
520D4×D79—41no—
521D4×D79—41no—
522D4×D79—82no—
523C22×Dic79—21no—
524C22×Dic79—21no—
525C22×Dic79—21no—
526C22×Dic79—21no—
527C2×C4×D79—21no—
528C2×C4×D79—21no—
529C2×C4×D79—21no—
530C2×C4×D79—21no—
531C2×C4×D79—21no—
532C2×C4×D79C2×D411yescharacteristic
533C2×C4×D79C2×D411yescharacteristic
534C2×C4×D79C2411yescharacteristic
535C2×C4×D79C2411yescharacteristic
536Dic316—41no—
537Dic316—41no—
538#11929614—22no—
539#11929614—41no—
540#11929614—41no—
541#11929614—41no—
542#11929613—41no—
543#11929613—41no—
544#11929612—41no—
545#11929612—41no—
546#11929612—41no—
547#11929612—41no—
548#11929612—41no—
549#11929612—41no—
550#11929611—22no—
551#11929611—41no—
552#11929607—41no—
553C2×C79⋊C8C2411yescharacteristic
554C2×C79⋊C8C2411yescharacteristic
555C2×C79⋊C8C2411yescharacteristic
556C2×C79⋊C8C2411yescharacteristic
557C8×D79—41no—
558C8×D79—41no—
559C8×D79—41no—
560C4⋊Dic79—21no—
561C4⋊Dic79—21no—
562C4⋊Dic79—21no—
563C4⋊Dic79—21no—
564C4⋊Dic79—21no—
565C4⋊Dic79—21no—
566C4⋊Dic79—21no—
567C4⋊Dic79—21no—
568C4⋊Dic79—21no—
569C4⋊Dic79C2×D411yescharacteristic
570C4⋊Dic79C2×D411yescharacteristic
571C4⋊Dic79C2411yescharacteristic
572C4⋊Dic79C2411yescharacteristic
573C4⋊Dic79C2411yescharacteristic
574C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4—21no—
595Dic79⋊C4C2×D411yescharacteristic
596Dic79⋊C4C2×D411yescharacteristic
597Dic79⋊C4C2×D411yescharacteristic
598Dic79⋊C4C2×D411yescharacteristic
599Dic79⋊C4C2×D411yescharacteristic
600Dic79⋊C4C2×D411yescharacteristic
601C22⋊Dic79—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612C22⋊Dic79—21no—
613C22⋊Dic79—21no—
614C22⋊Dic79C2×D411yescharacteristic
615C22⋊Dic79C2×D411yescharacteristic
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4C2×D411yescharacteristic
629(C2×D79)⋊C4C2×D411yescharacteristic
630(C2×D79)⋊C4C2×D411yescharacteristic
631(C2×D79)⋊C4C2×D411yescharacteristic
632(C2×D79)⋊C4C2×D411yescharacteristic
633(C2×D79)⋊C4C2×D411yescharacteristic
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79—21no—
641C4×Dic79—21no—
642C4×Dic79—21no—
643C4×Dic79C2×D411yescharacteristic
644C4×Dic79C2×D411yescharacteristic
645C4×Dic79C2411yescharacteristic
646C4×Dic79C2411yescharacteristic
647C24×C79—21no—
648#41×C79—41no—
649#41×C79—41no—
650C2×Q8×C79—21no—
651C2×Q8×C79—22no—
652C2×Q8×C79—41no—
653C2×Q8×C79C2411yescharacteristic
654C2×Q8×C79C2411yescharacteristic
655C2×Q8×C79C2411yescharacteristic
656C2×D4×C79—21no—
657C2×D4×C79—21no—
658C2×D4×C79—21no—
659C2×D4×C79—21no—
660C2×D4×C79—21no—
661C2×D4×C79—21no—
662C2×D4×C79—41no—
663C2×D4×C79—41no—
664C2×D4×C79C2411yescharacteristic
665C2×D4×C79C2411yescharacteristic
666C2×D4×C79C2411yescharacteristic
667C22×C4×C79—21no—
668C22×C4×C79—21no—
669C22×C4×C79C2411yescharacteristic
670Q16×C79—22no—
671Q16×C79—41no—
672SD16×C79—22no—
673SD16×C79—22no—
674SD16×C79—22no—
675SD16×C79—41no—
676SD16×C79—41no—
677SD16×C79—41no—
678M16×C79—41no—
679C2×C8×C79—41no—
680C2×C8×C79C2411yescharacteristic
681C2×C8×C79C2411yescharacteristic
682C2×C8×C79C2411yescharacteristic
683C2×C8×C79C2411yescharacteristic
684C4⋊C4×C79—21no—
685C4⋊C4×C79—21no—
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79C2×D411yescharacteristic
689C4⋊C4×C79C2×D411yescharacteristic
690C4⋊C4×C79C2411yescharacteristic
691C4⋊C4×C79C2411yescharacteristic
692C22⋊C4×C79—21no—
693C22⋊C4×C79—21no—
694C22⋊C4×C79—21no—
695C22⋊C4×C79—21no—
696C22⋊C4×C79—21no—
697C22⋊C4×C79C2×D411yescharacteristic
698C22⋊C4×C79C2×D411yescharacteristic
699C42×C79—21no—
700C42×C79—21no—
701C42×C79—21no—
702C42×C79—21no—
703C42×C79—21no—
704C42×C79C2411yescharacteristic
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—21no—
709C23×C79—81no—
710C23×C79—81no—
711C23×C79—81no—
712C23×C79C22×D411yescharacteristic
713C22×D79—21no—
714C22×D79—42no—
715C22×D79—81no—
716C22×D79—81no—
717C22×D79—81no—
718C22×D79—81no—
719C22×D79—81no—
720C22×D79C22×D411yescharacteristic
721C22×D79C22×D411yescharacteristic
722Q8×C79—21no—
723Q8×C79—21no—
724Q8×C79—21no—
725Q8×C79—21no—
726Q8×C79—21no—
727Q8×C79—42no—
728Q8×C79H(5,𝔽2)12yes—
729D4×C79—21no—
730D4×C79—21no—
731D4×C79—21no—
732D4×C79—21no—
733D4×C79—21no—
734D4×C79—21no—
735D4×C79—81no—
736D4×C79—81no—
737D4×C79—81no—
738D4×C79—81no—
739D4×C79—81no—
740D4×C79—81no—
741C2×C4×C79—21no—
742C2×C4×C79—21no—
743C2×C4×C79—21no—
744C2×C4×C79—21no—
745C2×C4×C79—21no—
746C2×C4×C79—21no—
747C2×C4×C79—21no—
748C2×C4×C79—42no—
749C2×C4×C79—81no—
750C2×C4×C79C22×D411yescharacteristic
751C2×C4×C79C22×D411yescharacteristic
752C2×C4×C79C22×D411yescharacteristic
753C2×C4×C79C22×D411yescharacteristic
754C2×C4×C79C22×D411yescharacteristic
755C2×C4×C79C2511yescharacteristic
756C22⋊D79—22no—
757C22⋊D79—41no—
758C22⋊D79—42no—
759C22⋊D79—42no—
760C22⋊D79—81no—
761C22⋊D79—81no—
762C22⋊D79—81no—
763C22⋊D79—81no—
764C22⋊D79—81no—
765C22⋊D79—81no—
766C22⋊D79—81no—
767C2×Dic79—21no—
768C2×Dic79—21no—
769C2×Dic79—21no—
770C2×Dic79—21no—
771C2×Dic79—21no—
772C2×Dic79—21no—
773C2×Dic79—21no—
774C2×Dic79—81no—
775C2×Dic79—81no—
776C2×Dic79—81no—
777C2×Dic79—81no—
778C2×Dic79C22×D411yescharacteristic
779C2×Dic79C22×D411yescharacteristic
780C2×Dic79C22×D411yescharacteristic
781C2×Dic79C22×D411yescharacteristic
782C2×Dic79C22×D411yescharacteristic
783C2×Dic79C22×D411yescharacteristic
784D316—22no—
785D316—21no—
786D316—21no—
787C4×D79—22no—
788C4×D79—21no—
789C4×D79—21no—
790C4×D79—21no—
791C4×D79—21no—
792C4×D79—41no—
793C4×D79—42no—
794C4×D79—42no—
795C4×D79—42no—
796C4×D79—81no—
797C4×D79—81no—
798Dic158—21no—
799Dic158—21no—
800Dic158—21no—
801Dic158—21no—
802Dic158—21no—
803Dic158—21no—
804Dic158—41no—
805Dic158—42no—
806Dic158—42no—
807Dic158—42no—
808Dic158—81no—
809Dic158—81no—
810C8×C79—21no—
811C8×C79—21no—
812C8×C79—21no—
813C8×C79—21no—
814C79⋊C8—21no—
815C79⋊C8—21no—
816C79⋊C8—21no—
817C79⋊C8—21no—
818C22×C79—21no—
819C22×C79—21no—
820C22×C79—21no—
821C22×C79—41no—
822C22×C79—41no—
823C22×C79—41no—
824C22×C79—41no—
825C22×C79—41no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—162no—
831C22×C79C23×D411yescharacteristic
832C2×D79—21no—
833C2×D79—21no—
834C2×D79—21no—
835C2×D79—21no—
836C2×D79—21no—
837C2×D79—41no—
838C2×D79—41no—
839C2×D79—41no—
840C2×D79—162no—
841C2×D79—162no—
842C2×D79#57712yes—
843C4×C79—21no—
844C4×C79—21no—
845C4×C79—21no—
846C4×C79—22no—
847C4×C79—21no—
848C4×C79—21no—
849C4×C79—41no—
850C4×C79—41no—
851C4×C79—41no—
852C4×C79—41no—
853C4×C79C2×H(5,𝔽2)11yescharacteristic
854C4×C79#58511yescharacteristic
855Dic79—21no—
856Dic79—21no—
857Dic79—21no—
858Dic79—21no—
859Dic79—21no—
860Dic79—21no—
861Dic79—41no—
862Dic79—41no—
863Dic79—41no—
864Dic79—41no—
865Dic79—41no—
866Dic79—41no—
867Dic79—41no—
868#62019—791nomaximal, Sylow
869C2×C79—41no—
870C2×C79—81no—
871C2×C79—81no—
872C2×C79—81no—
873C2×C79#348811yescharacteristic
874C2×C79C2×#57711yescharacteristic
875C2×C79#358611yescharacteristic
876D79—22no—
877D79—41no—
878D79—81no—
879#3558—791no—
880#3523—791no—
881#3400—791no—
882#3400—791no—
883#3371—791no—
884#3371—791no—
885#3311—791no—
886#3311—791no—
887#3310—791no—
888#3310—791no—
889#3300—791no—
890#3300—791no—
891D4×SD16—791no—
892D4×SD16—791no—
893#3270—791no—
894#3270—791no—
895#3266—791no—
896#3266—791no—
897#3258—791no—
898#3258—791no—
899#3246—791no—
900#3222—791no—
901#3222—791no—
902#3215—791no—
903#3121—791no—
904#3121—791no—
905#3112—791no—
906#3043—791no—
907#3043D7911yescharacteristic, complemented
908C2×#464—791no—
909#2992—791no—
910C79#6201911yescharacteristic, complemented, Sylow
911C2×#137—791no—
912C2×#137C2×D7911yescharacteristic, complemented
913C22×Q16—791no—
914C22×SD16—791no—
915C22×SD16—791no—
916C22×SD16C2×D7911yescharacteristic, complemented
917#562—1581no—
918H(3,𝔽4)—1581no—
919#559—791no—
920#559—791no—
921#557—791no—
922#557—791no—
923#557—1581no—
924#556—791no—
925#556—1581no—
926#552—791no—
927#552—791no—
928#552—1581no—
929#552—1581no—
930D4×Q8—791no—
931D4×Q8—791no—
932D4×Q8—791no—
933#548—791no—
934#548—791no—
935#546—791no—
936#546—791no—
937#546—1581no—
938#546—1581no—
939D42—791no—
940D42—791no—
941#542—791no—
942#542—791no—
943#541—791no—
944#541—791no—
945#541—1581no—
946#541—1581no—
947#538—1581no—
948#538—1581no—
949#538—1581no—
950#535—791no—
951#535C2×D7911yescharacteristic
952#534—1581no—
953#533—791no—
954#533—1581no—
955#532—791no—
956#529—791no—
957#529—1581no—
958C2×#124—791no—
959#519—791no—
960#519C2×D7911yescharacteristic, complemented
961C2×C4×Q8—791no—
962#497—791no—
963#497—791no—
964#497—791no—
965#497—791no—
966#492—791no—
967#492—791no—
968#490—791no—
969#490—791no—
970#489—791no—
971#489—791no—
972#488—791no—
973#488—791no—
974#485—791no—
975#485—791no—
976#482—791no—
977#482—791no—
978#480—791no—
979#480—791no—
980#479—791no—
981#479—791no—
982#478—791no—
983#478—791no—
984#477—791no—
985#477—791no—
986#476—791no—
987#476—791no—
988#475—791no—
989#475—791no—
990#470—791no—
991#470—791no—
992#468—791no—
993#468—791no—
994#467—791no—
995#467—791no—
996#465—791no—
997#465—791no—
998#465—791no—
999#465—791no—
1000#465—791no—
1001#465—791no—
1002#464—791no—
1003#464—791no—
1004#464—791no—
1005#464—791no—
1006#464—791no—
1007#464—791no—
1008#464—791no—
1009#464—791no—
1010#464—791no—
1011#464—791no—
1012#464—791no—
1013#464—791no—
1014#464C2×D7911yescharacteristic, complemented
1015#464C2×D7911yescharacteristic, complemented
1016#464C2×D7911yescharacteristic, complemented
1017#464C2×D7911yescharacteristic, complemented
1018#462—791no—
1019#462—791no—
1020#461—791no—
1021#461—791no—
1022#461—791no—
1023#461—791no—
1024#460—791no—
1025#460—791no—
1026#460—791no—
1027#460—791no—
1028#460C2×D7911yescharacteristic
1029#460C2×D7911yescharacteristic
1030#460C2×D7911yescharacteristic, complemented
1031#460C2×D7911yescharacteristic, complemented
1032#452—791no—
1033#452—791no—
1034#452—791no—
1035#452—791no—
1036#451—791no—
1037#451—791no—
1038#451—791no—
1039#451—791no—
1040#450—791no—
1041#450—791no—
1042#450—791no—
1043#450—791no—
1044#450—791no—
1045#450—791no—
1046#448—791no—
1047#448—791no—
1048#448—791no—
1049#448—791no—
1050#446—791no—
1051#446—791no—
1052#441—791no—
1053#441—791no—
1054#440—791no—
1055#440—791no—
1056#440—791no—
1057#440—791no—
1058#440—791no—
1059#440—791no—
1060C4×Q16—791no—
1061C4×Q16—791no—
1062C4×SD16—791no—
1063C4×SD16—791no—
1064#435—791no—
1065#435—791no—
1066#435—791no—
1067#435—791no—
1068C8×D4—791no—
1069C8×D4—791no—
1070#433—791no—
1071#433—791no—
1072#432—791no—
1073#424—791no—
1074#424C2×D7911yescharacteristic, complemented
1075C2×C4⋊C8—791no—
1076#418—791no—
1077#418C2×D7911yescharacteristic, complemented
1078#416—791no—
1079#416C2×D7911yescharacteristic, complemented
1080C2×#103—791no—
1081C2×#102—791no—
1082C2×#41—791no—
1083C2×#41—1581no—
1084C2×#41C22×D7911yescharacteristic
1085C22×Q8—791no—
1086C22×Q8—791no—
1087C22×Q8—791no—
1088C22×Q8C22×D7911yescharacteristic
1089C22×D4—791no—
1090C22×D4—791no—
1091C22×D4—1581no—
1092C22×D4—1581no—
1093C22×D4C22×D7911yescharacteristic
1094#137—42no—
1095#137—3162no—
1096C2×Q16—3162no—
1097C2×Q16—791no—
1098C2×Q16—791no—
1099C2×Q16—791no—
1100C2×Q16—791no—
1101C2×Q16—791no—
1102C2×Q16—791no—
1103C2×Q16C22×D7911yescharacteristic
1104C2×Q16C22×D7911yescharacteristic
1105C2×SD16—42no—
1106C2×SD16—3162no—
1107C2×SD16—3162no—
1108C2×SD16—791no—
1109C2×SD16—791no—
1110C2×SD16—791no—
1111C2×SD16—791no—
1112C2×SD16—791no—
1113C2×SD16—791no—
1114C2×SD16—791no—
1115C2×SD16—791no—
1116C2×SD16—791no—
1117C2×SD16—791no—
1118C2×SD16C22×D7911yescharacteristic
1119C2×SD16C22×D7911yescharacteristic
1120C2×SD16C22×D7911yescharacteristic
1121C2×SD16C22×D7911yescharacteristic
1122C2×SD16C22×D7911yescharacteristic
1123C2×SD16C22×D7911yescharacteristic
1124C2×M16—791no—
1125C2×M16C22×D7911yescharacteristic
1126C22×C8—791no—
1127C22×C8—791no—
1128C22×C8—791no—
1129C22×C8C22×D7911yescharacteristic
1130C4⋊Q8—791no—
1131C4⋊Q8—791no—
1132C4⋊Q8—791no—
1133C4⋊Q8—791no—
1134C4⋊Q8—791no—
1135C4⋊Q8—1581no—
1136C4⋊Q8—1581no—
1137C4⋊Q8—1581no—
1138C4⋊Q8—1581no—
1139#127—791no—
1140#127C22×D7911yescharacteristic
1141#127C22×D7911yescharacteristic
1142#126—791no—
1143#126—791no—
1144#126—1581no—
1145#126—1581no—
1146#126—1581no—
1147#126—1581no—
1148#126—1581no—
1149#126—1581no—
1150#126—1581no—
1151#126—1581no—
1152#126—1581no—
1153#126—1581no—
1154#125—791no—
1155#125—791no—
1156#125—791no—
1157#125—1581no—
1158#125—1581no—
1159#125—1581no—
1160#125—1581no—
1161#125—1581no—
1162#125—1581no—
1163#125—1581no—
1164#125—1581no—
1165#125—1581no—
1166#125—1581no—
1167#125—1581no—
1168#125—1581no—
1169#124—791no—
1170#124—791no—
1171#124—791no—
1172#124—791no—
1173#124—791no—
1174#124—1581no—
1175#124—1581no—
1176#124—1581no—
1177#124—1581no—
1178#124—1581no—
1179#124—1581no—
1180#124—1581no—
1181#124—1581no—
1182#124—1581no—
1183#124—1581no—
1184#124C22×D7911yescharacteristic
1185#124C22×D7911yescharacteristic
1186#123—791no—
1187#123—791no—
1188#123—1581no—
1189#123—1581no—
1190#123—1581no—
1191#123—1581no—
1192#123—1581no—
1193#123—1581no—
1194#123—1581no—
1195#123—1581no—
1196#123—1581no—
1197#123—1581no—
1198C22⋊Q8—791no—
1199C22⋊Q8—791no—
1200C22⋊Q8—791no—
1201C22⋊Q8—791no—
1202C22⋊Q8—791no—
1203C22⋊Q8—791no—
1204C22⋊Q8—791no—
1205C22⋊Q8—791no—
1206C22⋊Q8—791no—
1207C22⋊Q8—1581no—
1208C22⋊Q8—1581no—
1209C22⋊Q8—1581no—
1210C22⋊Q8—1581no—
1211C22⋊Q8—1581no—
1212C22⋊Q8—1581no—
1213C22⋊Q8—1581no—
1214C22⋊Q8—1581no—
1215C22⋊Q8—1581no—
1216C22⋊Q8—1581no—
1217C22⋊Q8—1581no—
1218#121—21no—
1219#121—21no—
1220#121—791no—
1221#121—791no—
1222#121—791no—
1223#121—791no—
1224#121—791no—
1225#121—1581no—
1226#121—1581no—
1227#121—1581no—
1228#121—1581no—
1229#121—1581no—
1230#121—1581no—
1231#121—1581no—
1232#121—1581no—
1233#121—1581no—
1234#120—21no—
1235#120—21no—
1236#120—1581no—
1237#120—1581no—
1238#120—1581no—
1239#120—1581no—
1240#120—1581no—
1241#120—1581no—
1242#120—1581no—
1243#120—1581no—
1244C4×Q8—21no—
1245C4×Q8—21no—
1246C4×Q8—791no—
1247C4×Q8—791no—
1248C4×Q8—791no—
1249C4×Q8—791no—
1250C4×Q8—791no—
1251C4×Q8—791no—
1252C4×Q8—791no—
1253C4×Q8—791no—
1254C4×Q8—791no—
1255C4×Q8—1581no—
1256C4×Q8—1581no—
1257C4×Q8—1581no—
1258C4×Q8—1581no—
1259C4×Q8—1581no—
1260C4×Q8—1581no—
1261C4×Q8—1581no—
1262C4×Q8—1581no—
1263C4×Q8C22×D7911yescharacteristic
1264C4×Q8C22×D7911yescharacteristic
1265C4×Q8C22×D7911yescharacteristic
1266C4×Q8C22×D7911yescharacteristic
1267C4×D4—791no—
1268C4×D4—791no—
1269C4×D4—791no—
1270C4×D4—791no—
1271C4×D4—791no—
1272C4×D4—791no—
1273C4×D4—791no—
1274C4×D4—1581no—
1275C4×D4—1581no—
1276C4×D4—1581no—
1277C4×D4—1581no—
1278C4×D4—1581no—
1279C4×D4—1581no—
1280C4×D4—1581no—
1281C4×D4—1581no—
1282#117—21no—
1283#117—21no—
1284#117—791no—
1285#117—791no—
1286#117—1581no—
1287#117—1581no—
1288#117—1581no—
1289#117—1581no—
1290#117—1581no—
1291#117C22×D7911yescharacteristic
1292#117C22×D7911yescharacteristic
1293C2×C4⋊C4—791no—
1294C2×C4⋊C4—1581no—
1295C2×C22⋊C4—1581no—
1296C2×C22⋊C4—1581no—
1297C2×C22⋊C4—1581no—
1298C2×C22⋊C4—1581no—
1299C2×C42—791no—
1300C2×C42—1581no—
1301#107—791no—
1302#107—791no—
1303#107—791no—
1304#107—791no—
1305#106—791no—
1306#106—791no—
1307#106—791no—
1308#106—791no—
1309C4⋊C8—791no—
1310C4⋊C8—791no—
1311C4⋊C8—791no—
1312C4⋊C8—791no—
1313C4⋊C8—791no—
1314C4⋊C8—791no—
1315C4⋊C8C22×D7911yescharacteristic
1316C4⋊C8C22×D7911yescharacteristic
1317C4⋊C8C22×D7911yescharacteristic
1318C4⋊C8C22×D7911yescharacteristic
1319#103—791no—
1320#103—791no—
1321#103—791no—
1322#103—791no—
1323#103—791no—
1324#103—791no—
1325#103—791no—
1326#103—791no—
1327#103—791no—
1328#103—791no—
1329#103—791no—
1330#103—791no—
1331#103—791no—
1332#103—791no—
1333#103C22×D7911yescharacteristic
1334#103C22×D7911yescharacteristic
1335#102—791no—
1336#102—791no—
1337#102—791no—
1338#102—791no—
1339#102—791no—
1340#102—791no—
1341#102—791no—
1342#102—791no—
1343#102—791no—
1344#102—791no—
1345#102C22×D7911yescharacteristic
1346#102C22×D7911yescharacteristic
1347#102C22×D7911yescharacteristic
1348#102C22×D7911yescharacteristic
1349#102C22×D7911yescharacteristic
1350#102C22×D7911yescharacteristic
1351C22⋊C8—791no—
1352C22⋊C8—791no—
1353C22⋊C8—791no—
1354C22⋊C8—791no—
1355C22⋊C8—791no—
1356C22⋊C8—791no—
1357#97—791no—
1358#97—791no—
1359#97—791no—
1360#97—791no—
1361C4×C8—791no—
1362C4×C8—791no—
1363C24—21no—
1364C24—1581no—
1365C24—1581no—
1366#41—41no—
1367#41—41no—
1368#41—3161no—
1369#41—3161no—
1370#41—6322no—
1371C2×Q8—21no—
1372C2×Q8—22no—
1373C2×Q8—41no—
1374C2×Q8—3161no—
1375C2×Q8—3161no—
1376C2×Q8—3161no—
1377C2×Q8—3161no—
1378C2×Q8—791no—
1379C2×Q8—791no—
1380C2×Q8—791no—
1381C2×Q8—791no—
1382C2×Q8—1581no—
1383C2×Q8—1581no—
1384C2×Q8—1581no—
1385C2×Q8—1581no—
1386C2×Q8—1582no—
1387C2×Q8—1582no—
1388C2×Q8—1581no—
1389C2×Q8C23×D7911yescharacteristic
1390C2×Q8C23×D7911yescharacteristic
1391C2×Q8C23×D7911yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—3161no—
1401C2×D4—3161no—
1402C2×D4—3161no—
1403C2×D4—3161no—
1404C2×D4—791no—
1405C2×D4—791no—
1406C2×D4—791no—
1407C2×D4—791no—
1408C2×D4—6322no—
1409C2×D4—6322no—
1410C2×D4—1581no—
1411C2×D4—1581no—
1412C2×D4—1581no—
1413C2×D4—1581no—
1414C2×D4—1581no—
1415C2×D4—1581no—
1416C2×D4—1581no—
1417C2×D4—1581no—
1418C2×D4—1581no—
1419C2×D4C23×D7911yescharacteristic
1420C2×D4C23×D7911yescharacteristic
1421C2×D4C23×D7911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—791no—
1425C22×C4—791no—
1426C22×C4—791no—
1427C22×C4—791no—
1428C22×C4—1581no—
1429C22×C4—1581no—
1430C22×C4—1581no—
1431C22×C4—1581no—
1432C22×C4—1581no—
1433C22×C4—1581no—
1434C22×C4—1581no—
1435C22×C4—1581no—
1436C22×C4—1581no—
1437C22×C4C23×D7911yescharacteristic
1438Q16—22no—
1439Q16—41no—
1440Q16—3161no—
1441Q16—3161no—
1442Q16—3161no—
1443Q16—3161no—
1444Q16—3161no—
1445Q16—1582no—
1446SD16—22no—
1447SD16—22no—
1448SD16—22no—
1449SD16—41no—
1450SD16—41no—
1451SD16—41no—
1452SD16—3161no—
1453SD16—3161no—
1454SD16—3161no—
1455SD16—3161no—
1456SD16—3161no—
1457SD16—3161no—
1458SD16—3161no—
1459SD16—3161no—
1460SD16—3161no—
1461SD16—1582no—
1462M16—41no—
1463M16—3161no—
1464C2×C8—41no—
1465C2×C8—3161no—
1466C2×C8—3161no—
1467C2×C8—3161no—
1468C2×C8—791no—
1469C2×C8—791no—
1470C2×C8—791no—
1471C2×C8—791no—
1472C2×C8C23×D7911yescharacteristic
1473C2×C8C23×D7911yescharacteristic
1474C2×C8C23×D7911yescharacteristic
1475C2×C8C23×D7911yescharacteristic
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—791no—
1481C4⋊C4—791no—
1482C4⋊C4—791no—
1483C4⋊C4—791no—
1484C4⋊C4—791no—
1485C4⋊C4—791no—
1486C4⋊C4—791no—
1487C4⋊C4—791no—
1488C4⋊C4—791no—
1489C4⋊C4—791no—
1490C4⋊C4—791no—
1491C4⋊C4—791no—
1492C4⋊C4—1581no—
1493C4⋊C4—1581no—
1494C4⋊C4—1581no—
1495C4⋊C4—1581no—
1496C4⋊C4—1581no—
1497C4⋊C4—1581no—
1498C4⋊C4—1581no—
1499C4⋊C4—1581no—
1500C4⋊C4—1581no—
1501C4⋊C4—1581no—
1502C4⋊C4—1581no—
1503C4⋊C4—1581no—
1504C4⋊C4—1581no—
1505C4⋊C4—1581no—
1506C4⋊C4—1581no—
1507C4⋊C4—1581no—
1508C4⋊C4—1581no—
1509C4⋊C4—1581no—
1510C4⋊C4—1581no—
1511C4⋊C4—1581no—
1512C4⋊C4—1581no—
1513C4⋊C4—1581no—
1514C4⋊C4—1581no—
1515C4⋊C4—1581no—
1516C4⋊C4—1581no—
1517C4⋊C4—1581no—
1518C4⋊C4—1581no—
1519C4⋊C4—1581no—
1520C4⋊C4—1581no—
1521C4⋊C4D4×D7911yescharacteristic
1522C4⋊C4D4×D7911yescharacteristic
1523C4⋊C4C23×D7911yescharacteristic
1524C4⋊C4C23×D7911yescharacteristic
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—791no—
1531C22⋊C4—791no—
1532C22⋊C4—791no—
1533C22⋊C4—791no—
1534C22⋊C4—791no—
1535C22⋊C4—791no—
1536C22⋊C4—791no—
1537C22⋊C4—791no—
1538C22⋊C4—1581no—
1539C22⋊C4—1581no—
1540C22⋊C4—1581no—
1541C22⋊C4—1581no—
1542C22⋊C4—1581no—
1543C22⋊C4—1581no—
1544C22⋊C4—1581no—
1545C22⋊C4—1581no—
1546C22⋊C4—1581no—
1547C22⋊C4—1581no—
1548C22⋊C4—1581no—
1549C22⋊C4—1581no—
1550C22⋊C4—1581no—
1551C22⋊C4—1581no—
1552C22⋊C4—1581no—
1553C22⋊C4—1581no—
1554C22⋊C4—1581no—
1555C22⋊C4—1581no—
1556C22⋊C4—1581no—
1557C22⋊C4—1581no—
1558C22⋊C4—1581no—
1559C22⋊C4—1581no—
1560C22⋊C4—1581no—
1561C22⋊C4—1581no—
1562C22⋊C4—1581no—
1563C22⋊C4D4×D7911yescharacteristic
1564C22⋊C4D4×D7911yescharacteristic
1565C42—21no—
1566C42—21no—
1567C42—21no—
1568C42—21no—
1569C42—21no—
1570C42—791no—
1571C42—791no—
1572C42—791no—
1573C42—791no—
1574C42—1581no—
1575C42—1581no—
1576C42—1581no—
1577C42—1581no—
1578C42—1581no—
1579C42—1581no—
1580C42—1581no—
1581C42—1581no—
1582C42—1581no—
1583C42C23×D7911yescharacteristic
1584C42C23×D7911yescharacteristic
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—81no—
1589C23—81no—
1590C23—81no—
1591C23—3162no—
1592C23—791no—
1593C23—791no—
1594C23—6321no—
1595C23—6321no—
1596C23—6321no—
1597C23—6321no—
1598C23—6321no—
1599C23—1581no—
1600C23C2×D4×D7911yescharacteristic
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—21no—
1606Q8—42no—
1607Q8—3162no—
1608Q8—3162no—
1609Q8—3161no—
1610Q8—3162no—
1611Q8—6321no—
1612Q8—6321no—
1613Q8—1581no—
1614Q8—1581no—
1615Q8—1581no—
1616Q8—1581no—
1617Q8—1581no—
1618Q8—1581no—
1619Q8#1457920612yes—
1620D4—21no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—81no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—3162no—
1633D4—3162no—
1634D4—3161no—
1635D4—6321no—
1636D4—6321no—
1637D4—6321no—
1638D4—6321no—
1639D4—6321no—
1640D4—6321no—
1641D4—6321no—
1642D4—1582no—
1643D4—1582no—
1644D4—1581no—
1645D4—1581no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—42no—
1654C2×C4—81no—
1655C2×C4—3162no—
1656C2×C4—3162no—
1657C2×C4—3161no—
1658C2×C4—3162no—
1659C2×C4—791no—
1660C2×C4—791no—
1661C2×C4—791no—
1662C2×C4—791no—
1663C2×C4—791no—
1664C2×C4—791no—
1665C2×C4—6321no—
1666C2×C4—6321no—
1667C2×C4—6321no—
1668C2×C4—6321no—
1669C2×C4—6321no—
1670C2×C4—6321no—
1671C2×C4—1582no—
1672C2×C4—1581no—
1673C2×C4—1581no—
1674C2×C4—1581no—
1675C2×C4—1581no—
1676C2×C4—1581no—
1677C2×C4—1581no—
1678C2×C4—1581no—
1679C2×C4—1581no—
1680C2×C4—1581no—
1681C2×C4—1581no—
1682C2×C4—1581no—
1683C2×C4C2×D4×D7911yescharacteristic
1684C2×C4C2×D4×D7911yescharacteristic
1685C2×C4C2×D4×D7911yescharacteristic
1686C2×C4C2×D4×D7911yescharacteristic
1687C2×C4C2×D4×D7911yescharacteristic
1688C2×C4C24×D7911yescharacteristic
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—1581no—
1694C8—1581no—
1695C8—1581no—
1696C8—1581no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—162no—
1710C22—3161no—
1711C22—3161no—
1712C22—3161no—
1713C22—792no—
1714C22—1581no—
1715C22—1581no—
1716C22—1581no—
1717C22—1581no—
1718C22—1581no—
1719C22—12642no—
1720C22—12642no—
1721C22C22×D4×D7911yescharacteristic
1722C4—21no—
1723C4—22no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—3161no—
1733C4—3161no—
1734C4—3161no—
1735C4—3161no—
1736C4—3161no—
1737C4—3161no—
1738C4—3161no—
1739C4—1581no—
1740C4—1581no—
1741C4—1581no—
1742C4—1581no—
1743C4—1581no—
1744C4—1581no—
1745C4C2×#1457920611yescharacteristic
1746C4#1909939911yescharacteristic
1747C2—41no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—3161no—
1752C2—6321no—
1753C2—1582no—
1754C2#2377706511yescharacteristic
1755C2#577×D7911yescharacteristic
1756C2#2377818211yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3043C2
socleC22×C79C23×D4
prime radical#23777918C2
hypercenter#3043D79
hypocenterC79#62019
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3043

Complements

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

NH ≅ G/Ntype
2. #23777490C2semidirect
3. #23776456C2semidirect
4. #23776452C2semidirect
5. #23776172C2semidirect
6. #23776161C2semidirect
7. #23775437C2semidirect
8. #23775432C2semidirect
9. #23775428C2semidirect
10. #23775422C2semidirect
11. #23775294C2semidirect
12. #23775288C2semidirect
13. #23775091C2semidirect
14. SD16×C22⋊D79C2semidirect
15. #23774965C2semidirect
16. #23774964C2semidirect
17. #23774910C2semidirect
18. #23774904C2semidirect
19. #23774831C2semidirect
20. #23774828C2semidirect
21. #23774714C2semidirect
22. #23774472C2semidirect
23. #23774471C2semidirect
24. #23774401C2semidirect
25. #23773629C2semidirect
26. #23773626C2semidirect
27. #23773521C2semidirect
28. #23772916C2semidirect
29. #464×D79C2semidirect
30. #23772537C2semidirect
31. C79×#3043C2semidirect
32. C2×#14579190C22semidirect
33. C2×Q16×D79C22semidirect
35. C2×SD16×D79C22semidirect
41. #19099291C22semidirect
42. #19099289C22semidirect
44. #19099281C22semidirect
46. #19099254C22semidirect
48. #19099252C22semidirect
49. Q8×D316C22semidirect
50. Q8×C22⋊D79C22semidirect
51. Q8×C22⋊D79C22semidirect
63. #19099175C22semidirect
65. #19099171C22semidirect
72. #19099117C22semidirect
77. #19099039C22semidirect
78. C4×Q8×D79C22semidirect
79. #19098958C22semidirect
80. #19098956C22semidirect
81. #19098954C22semidirect
82. #19098954C22semidirect
87. #19098924C22semidirect
88. #19098921C22semidirect
89. #19098917C22semidirect
90. #19098916C22semidirect
91. #19098904C22semidirect
92. #19098902C22semidirect
95. #19098875C22semidirect
96. #19098875C22semidirect
97. #19098872C22semidirect
98. #19098871C22semidirect
99. #19098864C22semidirect
100. #19098861C22semidirect
101. #19098859C22semidirect
102. #19098858C22semidirect
103. #19098851C22semidirect
104. #19098851C22semidirect
105. #19098849C22semidirect
106. #19098848C22semidirect
107. #19098821C22semidirect
108. #19098820C22semidirect
111. #19098804C22semidirect
112. #19098801C22semidirect
115. #19098791C22semidirect
116. #19098791C22semidirect
117. #19098789C22semidirect
118. #19098789C22semidirect
119. #19098788C22semidirect
120. #19098787C22semidirect
121. #19098786C22semidirect
122. #19098786C22semidirect
123. #19098785C22semidirect
124. #19098785C22semidirect
125. #19098784C22semidirect
126. #19098784C22semidirect
127. #19098783C22semidirect
128. #19098783C22semidirect
129. #19098782C22semidirect
130. #19098782C22semidirect
131. #19098774C22semidirect
132. #19098771C22semidirect
133. #19098769C22semidirect
134. #19098766C22semidirect
135. #19098766C22semidirect
136. #19098766C22semidirect
139. #19098760C22semidirect
140. #19098760C22semidirect
141. #19098726C22semidirect
142. #19098725C22semidirect
143. #19098725C22semidirect
144. #19098722C22semidirect
145. #19098720C22semidirect
146. #19098719C22semidirect
147. #19098717C22semidirect
148. #19098717C22semidirect
150. #19098715C22semidirect
151. #19098714C22semidirect
152. #19098714C22semidirect
154. #19098712C22semidirect
157. #19098700C22semidirect
158. #19098700C22semidirect
159. #19098692C22semidirect
160. #19098690C22semidirect
161. #19098670C22semidirect
162. #19098668C22semidirect
163. #19098664C22semidirect
164. #19098664C22semidirect
165. #19098661C22semidirect
166. #19098660C22semidirect
167. #19098660C22semidirect
168. #19098660C22semidirect
169. C4×#11929614C22semidirect
170. #19098655C22semidirect
171. SD16×Dic79C22semidirect
172. C4×#11929611C22semidirect
173. #19098634C22semidirect
174. #19098633C22semidirect
175. #19098632C22semidirect
176. #19098632C22semidirect
177. #19098628C22semidirect
178. C8×C22⋊D79C22semidirect
179. #19098624C22semidirect
180. #19098623C22semidirect
181. #19098619C22semidirect
182. #19098588C22semidirect
183. C4⋊C8×D79C22semidirect
184. #19098566C22semidirect
185. #19098556C22semidirect
186. #103×D79C22semidirect
188. C2×#137×C79C22semidirect
189. C22×SD16×C79C22semidirect
191. #519×C79C22semidirect
192. #464×C79C22semidirect
193. #464×C79C22semidirect
194. #464×C79C22semidirect
195. #464×C79C22semidirect
198. #460×C79C22semidirect
199. #460×C79C22semidirect
200. #424×C79C22semidirect
201. #418×C79C22semidirect
202. #416×C79C22semidirect
907. #3043D79semidirect
910. C79#62019semidirect
912. C2×#137C2×D79semidirect
916. C22×SD16C2×D79semidirect
960. #519C2×D79semidirect
1014. #464C2×D79semidirect
1015. #464C2×D79semidirect
1016. #464C2×D79semidirect
1017. #464C2×D79semidirect
1030. #460C2×D79semidirect
1031. #460C2×D79semidirect
1074. #424C2×D79semidirect
1077. #418C2×D79semidirect
1079. #416C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779182
#237774902
#237764562
#237764522
#237761722
#237761612
#237754372
#237754322
#237754282
#237754222
#237752942
#237752882
#237750912
SD16×C22⋊D792
#237749652
#237749642
#237749102
#237749042
#237748312
#237748282
#237747142
#237744722
#237744712
#237744012
#237736292
#237736262
#237735212
#237729162
#464×D792
#237725372
C79×#30432
#6201979