Finite Group Databasebeta

← #35174837

Subgroups — #35174837

Order 20224.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777697C211yesmaximal, characteristic, complemented
2#23777069C211yesmaximal, characteristic, complemented
3#23775734C211yesmaximal, characteristic, complemented
4#23775672C211yesmaximal, characteristic, complemented
5#23775624C211yesmaximal, characteristic, complemented
6#23775602C211yesmaximal, characteristic, complemented
7#23775482C211yesmaximal, characteristic, complemented
8#23775459C211yesmaximal, characteristic, complemented
9#23775414C211yesmaximal, characteristic, complemented
10#23775407C211yesmaximal, characteristic, complemented
11#23775060C211yesmaximal, characteristic, complemented
12#23775057C211yesmaximal, characteristic, complemented
13#23775025C211yesmaximal, characteristic, complemented
14#23774998C211yesmaximal, characteristic, complemented
15#23774979C211yesmaximal, characteristic, complemented
16#23774958C211yesmaximal, characteristic, complemented
17#23774904C211yesmaximal, characteristic, complemented
18#23774893C211yesmaximal, characteristic, complemented
19#23774500C211yesmaximal, characteristic, complemented
20#23774470C211yesmaximal, characteristic, complemented
21#23774301C211yesmaximal, characteristic, complemented
22#23774279C211yesmaximal, characteristic, complemented
23#23774216C211yesmaximal, characteristic, complemented
24#23774202C211yesmaximal, characteristic, complemented
25#23773663C211yesmaximal, characteristic, complemented
26#23773607C211yesmaximal, characteristic, complemented
27#23772708C211yesmaximal, characteristic, complemented
28#23772674C211yesmaximal, characteristic, complemented
29#23772642C211yesmaximal, characteristic, complemented
30#23772460C211yesmaximal, characteristic, complemented
31C79×#3007C211yesmaximal, characteristic, complemented
32C2×#14579207C2211yescharacteristic
33C2×#14579193C2211yescharacteristic, complemented
34C2×#14579192C2211yescharacteristic, complemented
35C2×#14579188C2211yescharacteristic, complemented
36C2×#14579187C2211yescharacteristic, complemented
37C2×#14579184C2211yescharacteristic, complemented
38C2×SD16×D79C2211yescharacteristic, complemented
39#19099314—21no—
40#19099309—21no—
41#19099284C2211yescharacteristic, complemented
42#19099268—21no—
43#19099268C2211yescharacteristic, complemented
44#19099261—21no—
45#19099261C2211yescharacteristic, complemented
46#19099247C2211yescharacteristic, complemented
47#19099232C2211yescharacteristic
48#19099232C2211yescharacteristic
49Q8×C22⋊D79C2211yescharacteristic, complemented
50#19099224C2211yescharacteristic
51#19099224C2211yescharacteristic
52#19099224C2211yescharacteristic, complemented
53#19099223C2211yescharacteristic, complemented
54#19099215C2211yescharacteristic, complemented
55#19099201—21no—
56#19099201—21no—
57#19099201C2211yescharacteristic
58#19099201C2211yescharacteristic
59D4×C22⋊D79—21no—
60D4×C22⋊D79—21no—
61D4×C22⋊D79C2211yescharacteristic
62D4×C22⋊D79C2211yescharacteristic
63#19099186C2211yescharacteristic, complemented
64#19099183—21no—
65#19099173C2211yescharacteristic, complemented
66#19099159—21no—
67#19099151—21no—
68#19099151—21no—
69#19099143C2211yescharacteristic, complemented
70#19099141—21no—
71#19099141C2211yescharacteristic
72#19099136C2211yescharacteristic, complemented
73#19099127—21no—
74#19099127C2211yescharacteristic
75#19099074—21no—
76#19099074C2211yescharacteristic
77#19099074C2211yescharacteristic, complemented
78C2×#14579135—21no—
79C2×#14579135C2211yescharacteristic
80#19099046C2211yescharacteristic
81#19098956C2211yescharacteristic, complemented
82#19098949C2211yescharacteristic, complemented
83#19098948C2211yescharacteristic, complemented
84#19098934C2211yescharacteristic, complemented
85#19098926C2211yescharacteristic, complemented
86#19098924C2211yescharacteristic, complemented
87#19098919C2211yescharacteristic, complemented
88#19098908C2211yescharacteristic, complemented
89#19098902C2211yescharacteristic, complemented
90#19098897C2211yescharacteristic, complemented
91#19098896C2211yescharacteristic, complemented
92#19098896C2211yescharacteristic, complemented
93#19098894C2211yescharacteristic, complemented
94#19098888C2211yescharacteristic, complemented
95#19098888C2211yescharacteristic, complemented
96#19098886C2211yescharacteristic, complemented
97#19098877C2211yescharacteristic, complemented
98#19098876C2211yescharacteristic, complemented
99#19098876C2211yescharacteristic, complemented
100#19098875C2211yescharacteristic, complemented
101#19098868C2211yescharacteristic, complemented
102#19098865C2211yescharacteristic, complemented
103#19098856C2211yescharacteristic, complemented
104#19098841C2211yescharacteristic, complemented
105#19098818C2211yescharacteristic, complemented
106#19098816C2211yescharacteristic, complemented
107#19098816C2211yescharacteristic, complemented
108#19098812C2211yescharacteristic, complemented
109#19098811C2211yescharacteristic, complemented
110#19098811C2211yescharacteristic, complemented
111#19098811C2211yescharacteristic, complemented
112#19098811C2211yescharacteristic, complemented
113#19098809C2211yescharacteristic, complemented
114#19098809C2211yescharacteristic, complemented
115#19098808C2211yescharacteristic, complemented
116#19098806C2211yescharacteristic, complemented
117#19098803C2211yescharacteristic, complemented
118#19098801C2211yescharacteristic, complemented
119#19098798C2211yescharacteristic, complemented
120#19098789C2211yescharacteristic, complemented
121#19098788C2211yescharacteristic, complemented
122#19098787C2211yescharacteristic, complemented
123#19098787C2211yescharacteristic, complemented
124#19098787C2211yescharacteristic, complemented
125#19098781C2211yescharacteristic, complemented
126#19098780C2211yescharacteristic, complemented
127#19098771C2211yescharacteristic, complemented
128#19098766C2211yescharacteristic, complemented
129#19098762C2211yescharacteristic, complemented
130#19098761C2211yescharacteristic, complemented
131#19098761C2211yescharacteristic, complemented
132#19098757C2211yescharacteristic, complemented
133#19098728C2211yescharacteristic, complemented
134#19098725C2211yescharacteristic
135#19098725C2211yescharacteristic, complemented
136#19098725C2211yescharacteristic, complemented
137#19098725C2211yescharacteristic, complemented
138#19098724C2211yescharacteristic, complemented
139#19098724C2211yescharacteristic, complemented
140#19098724C2211yescharacteristic, complemented
141#19098717C2211yescharacteristic, complemented
142#19098716C2211yescharacteristic, complemented
143#19098715C2211yescharacteristic, complemented
144#19098713C2211yescharacteristic, complemented
145#19098713C2211yescharacteristic, complemented
146#19098712C2211yescharacteristic, complemented
147#19098712C2211yescharacteristic, complemented
148#19098711C2211yescharacteristic, complemented
149#19098710C2211yescharacteristic, complemented
150#19098710C2211yescharacteristic, complemented
151#19098708C2211yescharacteristic
152#19098708C2211yescharacteristic, complemented
153#19098708C2211yescharacteristic, complemented
154#19098708C2211yescharacteristic, complemented
155#19098707C2211yescharacteristic, complemented
156#19098702C2211yescharacteristic, complemented
157#19098702C2211yescharacteristic, complemented
158#19098700C2211yescharacteristic, complemented
159#19098699C2211yescharacteristic, complemented
160#19098698C2211yescharacteristic, complemented
161#19098670C2211yescharacteristic, complemented
162#19098666C2211yescharacteristic, complemented
163#19098664C2211yescharacteristic, complemented
164#19098660C2211yescharacteristic, complemented
165Q16×Dic79C2211yescharacteristic, complemented
166#19098655C2211yescharacteristic, complemented
167SD16×Dic79C2211yescharacteristic, complemented
168#19098643C2211yescharacteristic, complemented
169#19098639C2211yescharacteristic, complemented
170#19098639C2211yescharacteristic, complemented
171#19098638C2211yescharacteristic, complemented
172#19098638C2211yescharacteristic, complemented
173#19098637C2211yescharacteristic, complemented
174#19098637C2211yescharacteristic, complemented
175#19098632C2211yescharacteristic, complemented
176#19098632C2211yescharacteristic, complemented
177#19098621C2211yescharacteristic, complemented
178#19098621C2211yescharacteristic, complemented
179#19098572C2211yescharacteristic, complemented
180#19098568C2211yescharacteristic, complemented
181#19098566C2211yescharacteristic, complemented
182#19098563C2211yescharacteristic, complemented
183#19098558C2211yescharacteristic, complemented
184#102×D79C2211yescharacteristic, complemented
185#19098528C2211yescharacteristic, complemented
186#19098528C2211yescharacteristic, complemented
187#19098527C2211yescharacteristic, complemented
188C22×#41×C79C2211yescharacteristic
189C2×#137×C79C2211yescharacteristic, complemented
190C2×#137×C79C2211yescharacteristic, complemented
191C2×C22⋊Q8×C79C2211yescharacteristic, complemented
192#452×C79C2211yescharacteristic
193#452×C79C2211yescharacteristic
194#452×C79C2211yescharacteristic, complemented
195#452×C79C2211yescharacteristic, complemented
196#451×C79C2211yescharacteristic, complemented
197#451×C79C2211yescharacteristic, complemented
198#450×C79C2211yescharacteristic, complemented
199#450×C79C2211yescharacteristic, complemented
200#417×C79C2211yescharacteristic, complemented
201#417×C79C2211yescharacteristic, complemented
202#407×C79C2211yescharacteristic, complemented
203#14579207—42no—
204#14579207—42no—
205C2×#11929625C2311yescharacteristic
206C2×#11929625C2311yescharacteristic
207C2×#11929625C2311yescharacteristic
208C2×#11929624—21no—
209C2×#11929624C2311yescharacteristic
210C2×#11929624C2311yescharacteristic
211C2×Q8×D79C2311yescharacteristic
212C22×D316—21no—
213C22×D316C2311yescharacteristic
214C22×C22⋊D79—21no—
215C22×C22⋊D79—21no—
216C22×C22⋊D79—21no—
217C2×D4×D79—21no—
218C2×D4×D79—21no—
219C2×D4×D79C2311yescharacteristic
220C2×D4×D79C2311yescharacteristic
221#14579193—42no—
222#14579192—42no—
223#14579188—42no—
224#14579187—42no—
225#14579184—42no—
226C2×#11929614C2311yescharacteristic
227C2×#11929614C2311yescharacteristic
228C2×#11929613C2311yescharacteristic
229C2×#11929613C2311yescharacteristic
230C2×#11929612C2311yescharacteristic
231C2×#11929612C2311yescharacteristic
232C2×#11929611C2311yescharacteristic
233C2×#11929611C2311yescharacteristic
234C2×#11929611C2311yescharacteristic
235C2×#11929611C2311yescharacteristic
236C2×#11929611C2311yescharacteristic
237C2×#11929611C2311yescharacteristic
238SD16×D79—42no—
239C2×D632C2311yescharacteristic
240C2×D632C2311yescharacteristic
241C2×#11929609C2311yescharacteristic
242C2×#11929609C2311yescharacteristic
243C2×#11929608C2311yescharacteristic
244C2×#11929608C2311yescharacteristic
245C2×#11929607C2311yescharacteristic
246C2×#11929607C2311yescharacteristic
247C2×C8×D79C2311yescharacteristic
248C2×C8×D79C2311yescharacteristic
249#14579160—21no—
250#14579160C2311yescharacteristic
251#14579159—21no—
252#14579159C2311yescharacteristic
253#14579157—21no—
254#14579157—21no—
255#14579157C2311yescharacteristic
256#14579157C2311yescharacteristic
257#14579156—21no—
258#14579156—21no—
259#14579156—21no—
260#14579154—21no—
261#14579154—21no—
262#14579154—21no—
263#14579154—21no—
264#14579152—21no—
265#14579152C2311yescharacteristic
266#14579151—21no—
267#14579151—21no—
268#14579151—21no—
269#14579150—21no—
270#14579150—21no—
271#14579150—21no—
272#14579150C2311yescharacteristic
273#14579150C2311yescharacteristic
274#14579150C2311yescharacteristic
275#14579147—21no—
276#14579147—21no—
277#14579147—21no—
278#14579147—21no—
279#14579146—21no—
280#14579146—21no—
281#14579146—21no—
282#14579144—21no—
283#14579144—21no—
284#14579144—21no—
285#14579144D411yescharacteristic
286#14579144D411yescharacteristic
287#14579143—21no—
288#14579143—21no—
289#14579143—21no—
290#14579143—21no—
291#14579141—21no—
292#14579141C2311yescharacteristic
293#14579140—21no—
294#14579140—21no—
295#14579140—21no—
296#14579140D411yescharacteristic
297#14579140D411yescharacteristic
298#14579140C2311yescharacteristic
299#14579140C2311yescharacteristic
300#14579139—21no—
301#14579139—21no—
302#14579139—21no—
303#14579137—21no—
304#14579137—21no—
305#14579137—21no—
306#14579137—21no—
307#14579137C2311yescharacteristic
308#14579137C2311yescharacteristic
309#14579137C2311yescharacteristic
310#14579137C2311yescharacteristic
311#14579136—21no—
312#14579136C2311yescharacteristic
313#14579135—21no—
314#14579135—21no—
315#14579135—21no—
316#14579135—21no—
317#14579135—21no—
318#14579135—21no—
319#14579135—21no—
320#14579135—21no—
321#14579135—21no—
322#14579135—21no—
323#14579135—21no—
324#14579135D411yescharacteristic
325#14579135D411yescharacteristic
326#14579135C2311yescharacteristic
327#14579135C2311yescharacteristic
328#14579135C2311yescharacteristic
329#14579135C2311yescharacteristic
330#14579135C2311yescharacteristic
331#14579135C2311yescharacteristic
332#14579134—21no—
333#14579134—21no—
334#14579134—21no—
335#14579134—21no—
336#14579133—21no—
337#14579133—21no—
338#14579133—21no—
339#14579133—21no—
340#14579133—21no—
341#14579133—21no—
342#14579132—21no—
343#14579132—21no—
344#14579132C2311yescharacteristic
345#14579132C2311yescharacteristic
346#14579130—21no—
347#14579130—21no—
348#14579130—21no—
349#14579130D411yescharacteristic
350#14579130D411yescharacteristic
351#14579129—21no—
352#14579129—21no—
353#14579129—21no—
354#14579129—21no—
355#14579129—21no—
356#14579129—21no—
357Q8×Dic79C2311yescharacteristic
358Q8×Dic79C2311yescharacteristic
359Q8×Dic79C2311yescharacteristic
360Q8×Dic79C2311yescharacteristic
361#14579126—21no—
362#14579126C2311yescharacteristic
363D4×Dic79—21no—
364D4×Dic79—21no—
365D4×Dic79C2311yescharacteristic
366D4×Dic79C2311yescharacteristic
367#14579123—21no—
368#14579123C2311yescharacteristic
369C4×C22⋊D79—21no—
370C4×C22⋊D79—21no—
371C4×C22⋊D79—21no—
372C4×C22⋊D79—21no—
373C4×C22⋊D79—21no—
374C4×C22⋊D79—21no—
375C4×C22⋊D79—21no—
376C4×C22⋊D79—21no—
377C4×C22⋊D79—21no—
378C4×C22⋊D79—21no—
379C4×C22⋊D79C2311yescharacteristic
380C4×C22⋊D79C2311yescharacteristic
381C4×C22⋊D79C2311yescharacteristic
382C4×C22⋊D79C2311yescharacteristic
383#14579120—21no—
384#14579120C2311yescharacteristic
385#14579120C2311yescharacteristic
386#14579119—21no—
387#14579119C2311yescharacteristic
388C2×C4⋊Dic79—21no—
389C2×C4⋊Dic79C2311yescharacteristic
390C4⋊C4×D79—21no—
391C4⋊C4×D79C2311yescharacteristic
392C2×(C2×D79)⋊C4—21no—
393C2×(C2×D79)⋊C4—21no—
394C2×(C2×D79)⋊C4—21no—
395#14579095C2311yescharacteristic
396#14579095C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579094C2311yescharacteristic
400#14579094C2311yescharacteristic
401#14579093C2311yescharacteristic
402#14579093C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579085C2311yescharacteristic
415#14579085C2311yescharacteristic
416#14579085C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579083C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic
434C22⋊(C79⋊C8)C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436(C2×D79)⋊C8C2311yescharacteristic
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439#14579071C2311yescharacteristic
440#14579071C2311yescharacteristic
441C8×Dic79C2311yescharacteristic
442C8×Dic79C2311yescharacteristic
443C2×#41×C79—21no—
444C2×#41×C79—21no—
445C2×#41×C79—42no—
446C2×#41×C79—42no—
447C2×#41×C79C2311yescharacteristic
448C2×#41×C79C2311yescharacteristic
449C2×#41×C79C2311yescharacteristic
450C2×#41×C79C2311yescharacteristic
451C22×Q8×C79C2311yescharacteristic
452C22×Q8×C79C2311yescharacteristic
453C22×D4×C79—21no—
454C22×D4×C79C2311yescharacteristic
455C23×C4×C79—21no—
456C23×C4×C79C2311yescharacteristic
457#137×C79—42no—
458#137×C79—42no—
459C2×Q16×C79C2311yescharacteristic
460C2×Q16×C79C2311yescharacteristic
461C2×Q16×C79C2311yescharacteristic
462C2×Q16×C79C2311yescharacteristic
463C2×SD16×C79C2311yescharacteristic
464C2×SD16×C79C2311yescharacteristic
465C2×SD16×C79C2311yescharacteristic
466C2×SD16×C79C2311yescharacteristic
467C2×M16×C79C2311yescharacteristic
468C2×M16×C79C2311yescharacteristic
469C22⋊Q8×C79—21no—
470C22⋊Q8×C79—21no—
471C22⋊Q8×C79C2311yescharacteristic
472C22⋊Q8×C79C2311yescharacteristic
473C22⋊Q8×C79C2311yescharacteristic
474C22⋊Q8×C79C2311yescharacteristic
475C2×C4⋊C4×C79—21no—
476C2×C4⋊C4×C79C2311yescharacteristic
477C2×C22⋊C4×C79—21no—
478#103×C79C2311yescharacteristic
479#103×C79C2311yescharacteristic
480#103×C79C2311yescharacteristic
481#103×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic
486C22⋊C8×C79C2311yescharacteristic
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic
489C22⋊C8×C79C2311yescharacteristic
490C23×D79—21no—
491C23×D79—21no—
492C23×D79—21no—
493#11929625—22no—
494#11929625—22no—
495#11929625—41no—
496#11929625—41no—
497#11929625—41no—
498#11929625—41no—
499#11929624—41no—
500#11929624—41no—
501#11929624—44no—
502#11929624—41no—
503#11929624—41no—
504C2×Dic158—21no—
505C2×Dic158—21no—
506C2×Dic158C2×D411yescharacteristic
507C2×Dic158C2411yescharacteristic
508Q8×D79—41no—
509Q8×D79—41no—
510C2×D316—21no—
511C2×D316—21no—
512C2×D316—21no—
513C2×D316—21no—
514C2×D316—21no—
515C2×D316—41no—
516C2×D316—41no—
517C2×D316—44no—
518C2×D316C2×D411yescharacteristic
519C2×D316C2411yescharacteristic
520C2×D316C2411yescharacteristic
521C2×D316C2411yescharacteristic
522C2×C22⋊D79—21no—
523C2×C22⋊D79—21no—
524C2×C22⋊D79—21no—
525C2×C22⋊D79—21no—
526C2×C22⋊D79—21no—
527C2×C22⋊D79—21no—
528C2×C22⋊D79—21no—
529C2×C22⋊D79—21no—
530C2×C22⋊D79—21no—
531C2×C22⋊D79—21no—
532C2×C22⋊D79—21no—
533C2×C22⋊D79—21no—
534C2×C22⋊D79—21no—
535C2×C22⋊D79—21no—
536C2×C22⋊D79—21no—
537C2×C22⋊D79—82no—
538C2×C22⋊D79—82no—
539C2×C22⋊D79—82no—
540C2×C22⋊D79C2×D411yescharacteristic
541C2×C22⋊D79C2×D411yescharacteristic
542C2×C22⋊D79C2×D411yescharacteristic
543C2×C22⋊D79C2×D411yescharacteristic
544C2×C22⋊D79C2×D411yescharacteristic
545C2×C22⋊D79C2×D411yescharacteristic
546D4×D79—22no—
547D4×D79—22no—
548D4×D79—41no—
549D4×D79—41no—
550D4×D79—44no—
551D4×D79—44no—
552C22×Dic79—21no—
553C22×Dic79—21no—
554C22×Dic79—21no—
555C2×C4×D79—21no—
556C2×C4×D79—21no—
557C2×C4×D79—21no—
558C2×C4×D79—21no—
559C2×C4×D79—21no—
560C2×C4×D79—21no—
561C2×C4×D79—21no—
562C2×C4×D79C2411yescharacteristic
563C2×C4×D79C2411yescharacteristic
564#11929614—22no—
565#11929614—41no—
566#11929613—41no—
567#11929613—41no—
568#11929612—22no—
569#11929612—41no—
570#11929611—22no—
571#11929611—41no—
572#11929611—41no—
573#11929611—41no—
574#11929611—41no—
575#11929611—41no—
576D632—41no—
577D632—41no—
578#11929609—22no—
579#11929609—41no—
580#11929608—41no—
581#11929608—41no—
582#11929607—41no—
583#11929607—41no—
584C2×C79⋊C8C2411yescharacteristic
585C2×C79⋊C8C2411yescharacteristic
586C2×C79⋊C8C2411yescharacteristic
587C2×C79⋊C8C2411yescharacteristic
588C8×D79—41no—
589C8×D79—41no—
590C4⋊Dic79—21no—
591C4⋊Dic79—21no—
592C4⋊Dic79—21no—
593C4⋊Dic79—21no—
594C4⋊Dic79—21no—
595C4⋊Dic79—21no—
596C4⋊Dic79—21no—
597C4⋊Dic79C2×D411yescharacteristic
598C4⋊Dic79C2×D411yescharacteristic
599C4⋊Dic79C2411yescharacteristic
600C4⋊Dic79C2411yescharacteristic
601C4⋊Dic79C2411yescharacteristic
602C4⋊Dic79C2411yescharacteristic
603Dic79⋊C4—21no—
604Dic79⋊C4—21no—
605Dic79⋊C4—21no—
606Dic79⋊C4—21no—
607Dic79⋊C4—21no—
608Dic79⋊C4—21no—
609Dic79⋊C4—21no—
610Dic79⋊C4—21no—
611Dic79⋊C4—21no—
612Dic79⋊C4—21no—
613Dic79⋊C4—21no—
614Dic79⋊C4—21no—
615Dic79⋊C4C2×D411yescharacteristic
616Dic79⋊C4C2×D411yescharacteristic
617Dic79⋊C4C2×D411yescharacteristic
618Dic79⋊C4C2×D411yescharacteristic
619C22⋊Dic79—21no—
620C22⋊Dic79—21no—
621C22⋊Dic79—21no—
622C22⋊Dic79—21no—
623C22⋊Dic79—21no—
624C22⋊Dic79—21no—
625C22⋊Dic79—21no—
626C22⋊Dic79C2×D411yescharacteristic
627C22⋊Dic79C2×D411yescharacteristic
628C22⋊Dic79C2×D411yescharacteristic
629C22⋊Dic79C2×D411yescharacteristic
630C22⋊Dic79C2×D411yescharacteristic
631C22⋊Dic79C2×D411yescharacteristic
632(C2×D79)⋊C4—21no—
633(C2×D79)⋊C4—21no—
634(C2×D79)⋊C4—21no—
635(C2×D79)⋊C4—21no—
636(C2×D79)⋊C4—21no—
637(C2×D79)⋊C4—21no—
638(C2×D79)⋊C4—21no—
639(C2×D79)⋊C4—21no—
640(C2×D79)⋊C4—21no—
641(C2×D79)⋊C4—21no—
642(C2×D79)⋊C4—21no—
643(C2×D79)⋊C4—21no—
644(C2×D79)⋊C4—21no—
645(C2×D79)⋊C4—21no—
646(C2×D79)⋊C4—21no—
647(C2×D79)⋊C4—21no—
648(C2×D79)⋊C4—21no—
649(C2×D79)⋊C4—21no—
650(C2×D79)⋊C4—21no—
651(C2×D79)⋊C4—21no—
652(C2×D79)⋊C4C2×D411yescharacteristic
653(C2×D79)⋊C4C2×D411yescharacteristic
654(C2×D79)⋊C4C2×D411yescharacteristic
655(C2×D79)⋊C4C2×D411yescharacteristic
656C4×Dic79—21no—
657C4×Dic79—21no—
658C4×Dic79—21no—
659C4×Dic79—21no—
660C4×Dic79—21no—
661C4×Dic79—21no—
662C4×Dic79—21no—
663C4×Dic79C2411yescharacteristic
664C4×Dic79C2411yescharacteristic
665C24×C79—21no—
666C24×C79C2×D411yescharacteristic
667#41×C79—22no—
668#41×C79—22no—
669#41×C79—22no—
670#41×C79—22no—
671#41×C79—41no—
672#41×C79—41no—
673#41×C79—41no—
674#41×C79—41no—
675#41×C79—44no—
676#41×C79—44no—
677C2×Q8×C79—21no—
678C2×Q8×C79—21no—
679C2×Q8×C79—22no—
680C2×Q8×C79—41no—
681C2×Q8×C79—41no—
682C2×Q8×C79—41no—
683C2×Q8×C79C2411yescharacteristic
684C2×Q8×C79C2411yescharacteristic
685C2×Q8×C79C2411yescharacteristic
686C2×Q8×C79C2411yescharacteristic
687C2×D4×C79—21no—
688C2×D4×C79—22no—
689C2×D4×C79—21no—
690C2×D4×C79—21no—
691C2×D4×C79—21no—
692C2×D4×C79—21no—
693C2×D4×C79—41no—
694C2×D4×C79—44no—
695C2×D4×C79C2411yescharacteristic
696C2×D4×C79C2411yescharacteristic
697C22×C4×C79—21no—
698C22×C4×C79—21no—
699C22×C4×C79—21no—
700C22×C4×C79—21no—
701C22×C4×C79—21no—
702C22×C4×C79—21no—
703C22×C4×C79—21no—
704C22×C4×C79—41no—
705C22×C4×C79—41no—
706C22×C4×C79—44no—
707C22×C4×C79C2×D411yescharacteristic
708C22×C4×C79C2×D411yescharacteristic
709C22×C4×C79C2×D411yescharacteristic
710C22×C4×C79C2411yescharacteristic
711C22×C4×C79C2411yescharacteristic
712C22×C4×C79C2411yescharacteristic
713Q16×C79—22no—
714Q16×C79—22no—
715Q16×C79—41no—
716Q16×C79—41no—
717SD16×C79—22no—
718SD16×C79—22no—
719SD16×C79—41no—
720SD16×C79—41no—
721M16×C79—41no—
722M16×C79—41no—
723C2×C8×C79C2411yescharacteristic
724C2×C8×C79C2411yescharacteristic
725C2×C8×C79C2411yescharacteristic
726C2×C8×C79C2411yescharacteristic
727C4⋊C4×C79—21no—
728C4⋊C4×C79—21no—
729C4⋊C4×C79—21no—
730C4⋊C4×C79—21no—
731C4⋊C4×C79—21no—
732C4⋊C4×C79C2411yescharacteristic
733C4⋊C4×C79C2411yescharacteristic
734C22⋊C4×C79—21no—
735C22⋊C4×C79—21no—
736C22⋊C4×C79—21no—
737C22⋊C4×C79—21no—
738C23×C79—21no—
739C23×C79—21no—
740C23×C79—41no—
741C23×C79—41no—
742C23×C79—41no—
743C23×C79—42no—
744C23×C79—42no—
745C23×C79—81no—
746C23×C79C22×D411yescharacteristic
747C23×C79C22×D411yescharacteristic
748C23×C79C22×D411yescharacteristic
749C22×D79—21no—
750C22×D79—21no—
751C22×D79—21no—
752C22×D79—42no—
753C22×D79—42no—
754C22×D79—42no—
755C22×D79—81no—
756C22×D79—81no—
757C22×D79—81no—
758C22×D79—81no—
759C22×D79—81no—
760C22×D79—81no—
761C22×D79C22×D411yescharacteristic
762C22×D79C22×D411yescharacteristic
763Q8×C79—21no—
764Q8×C79—21no—
765Q8×C79—21no—
766Q8×C79—21no—
767Q8×C79—21no—
768Q8×C79—21no—
769Q8×C79—21no—
770Q8×C79—42no—
771Q8×C79—81no—
772Q8×C79H(5,𝔽2)12yes—
773D4×C79—24no—
774D4×C79—21no—
775D4×C79—21no—
776D4×C79—21no—
777D4×C79—42no—
778D4×C79—42no—
779D4×C79—42no—
780D4×C79—42no—
781D4×C79H(5,𝔽2)12yes—
782C2×C4×C79—24no—
783C2×C4×C79—21no—
784C2×C4×C79—21no—
785C2×C4×C79—21no—
786C2×C4×C79—21no—
787C2×C4×C79—21no—
788C2×C4×C79—21no—
789C2×C4×C79—21no—
790C2×C4×C79—21no—
791C2×C4×C79—21no—
792C2×C4×C79—21no—
793C2×C4×C79—21no—
794C2×C4×C79—21no—
795C2×C4×C79—41no—
796C2×C4×C79—41no—
797C2×C4×C79—41no—
798C2×C4×C79—42no—
799C2×C4×C79—42no—
800C2×C4×C79—42no—
801C2×C4×C79—42no—
802C2×C4×C79—81no—
803C2×C4×C79—81no—
804C2×C4×C79C22×D411yescharacteristic
805C2×C4×C79C22×D411yescharacteristic
806C2×C4×C79C22×D411yescharacteristic
807C2×C4×C79C2511yescharacteristic
808C22⋊D79—41no—
809C22⋊D79—41no—
810C22⋊D79—41no—
811C22⋊D79—41no—
812C22⋊D79—41no—
813C22⋊D79—41no—
814C22⋊D79—42no—
815C22⋊D79—42no—
816C22⋊D79—42no—
817C22⋊D79—42no—
818C22⋊D79—42no—
819C22⋊D79—81no—
820C22⋊D79—81no—
821C22⋊D79—81no—
822C22⋊D79—81no—
823C22⋊D79—81no—
824C22⋊D79—81no—
825C22⋊D79—81no—
826C22⋊D79—81no—
827C22⋊D79—81no—
828C22⋊D79—81no—
829C2×Dic79—21no—
830C2×Dic79—21no—
831C2×Dic79—21no—
832C2×Dic79—21no—
833C2×Dic79—21no—
834C2×Dic79—81no—
835C2×Dic79—81no—
836C2×Dic79—81no—
837C2×Dic79C22×D411yescharacteristic
838C2×Dic79C22×D411yescharacteristic
839C2×Dic79C22×D411yescharacteristic
840C2×Dic79C22×D411yescharacteristic
841C2×Dic79C22×D411yescharacteristic
842C2×Dic79C22×D411yescharacteristic
843D316—21no—
844D316—21no—
845D316—21no—
846D316—21no—
847D316—21no—
848D316—21no—
849D316—41no—
850D316—42no—
851D316—42no—
852D316—42no—
853D316—81no—
854D316—81no—
855C4×D79—21no—
856C4×D79—21no—
857C4×D79—21no—
858C4×D79—21no—
859C4×D79—42no—
860C4×D79—42no—
861C4×D79—81no—
862C4×D79—81no—
863C4×D79—81no—
864C4×D79—81no—
865C4×D79—81no—
866Dic158—21no—
867Dic158—21no—
868Dic158—41no—
869Dic158—81no—
870Dic158—81no—
871C8×C79—21no—
872C8×C79—21no—
873C8×C79—21no—
874C8×C79—21no—
875C79⋊C8—21no—
876C79⋊C8—21no—
877C79⋊C8—21no—
878C79⋊C8—21no—
879C22×C79—21no—
880C22×C79—21no—
881C22×C79—21no—
882C22×C79—21no—
883C22×C79—21no—
884C22×C79—21no—
885C22×C79—21no—
886C22×C79—22no—
887C22×C79—21no—
888C22×C79—21no—
889C22×C79—41no—
890C22×C79—41no—
891C22×C79—41no—
892C22×C79—41no—
893C22×C79—41no—
894C22×C79—82no—
895C22×C79—84no—
896C22×C79C23×D411yescharacteristic
897C2×D79—21no—
898C2×D79—21no—
899C2×D79—21no—
900C2×D79—21no—
901C2×D79—21no—
902C2×D79—21no—
903C2×D79—41no—
904C2×D79—41no—
905C2×D79—41no—
906C2×D79—41no—
907C2×D79—41no—
908C2×D79—41no—
909C2×D79—41no—
910C2×D79—41no—
911C2×D79—41no—
912C2×D79—162no—
913C2×D79—162no—
914C2×D79—162no—
915C4×C79—21no—
916C4×C79—22no—
917C4×C79—21no—
918C4×C79—21no—
919C4×C79—41no—
920C4×C79—41no—
921C4×C79—41no—
922C4×C79—41no—
923C4×C79—41no—
924C4×C79C2×H(5,𝔽2)11yescharacteristic
925C4×C79C2×H(5,𝔽2)11yescharacteristic
926Dic79—21no—
927Dic79—21no—
928Dic79—21no—
929Dic79—21no—
930Dic79—21no—
931Dic79—21no—
932Dic79—41no—
933Dic79—41no—
934Dic79—41no—
935Dic79—41no—
936Dic79—41no—
937#61654—791nomaximal, Sylow
938C2×C79—41no—
939C2×C79—42no—
940C2×C79—41no—
941C2×C79—41no—
942C2×C79—81no—
943C2×C79#348411yescharacteristic
944C2×C79#358511yescharacteristic
945C2×C79#358611yescharacteristic
946D79—41no—
947D79—41no—
948D79—81no—
949D79—81no—
950D79—81no—
951#3541—791no—
952#3488—791no—
953#3333—791no—
954#3327—791no—
955#3324—791no—
956#3322—791no—
957#3314—791no—
958#3313—791no—
959#3310—791no—
960#3309—791no—
961#3278—791no—
962#3277—791no—
963#3275—791no—
964#3272—791no—
965#3271—791no—
966#3269—791no—
967#3266—791no—
968#3265—791no—
969#3224—791no—
970#3222—791no—
971#3203—791no—
972#3201—791no—
973#3194—791no—
974#3193—791no—
975#3124—791no—
976#3120—791no—
977#3012—791no—
978#3009—791no—
979#3007D7911yescharacteristic, complemented
980#3005—791no—
981#2978—791no—
982C79#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)—791no—
984C22×#41C2×D7911yescharacteristic
985C2×#137—791no—
986C2×#137—791no—
987C2×#137C2×D7911yescharacteristic, complemented
988C2×#137C2×D7911yescharacteristic, complemented
989C2×AGL(1,ℤ/8)—791no—
990C2×AGL(1,ℤ/8)—791no—
991C2×#135—791no—
992C22×SD16—791no—
993#563—1581no—
994#562—1581no—
995#556—791no—
996#554—791no—
997#554—1581no—
998#553—791no—
999#553—1581no—
1000#552—791no—
1001#550—791no—
1002#550—791no—
1003D4×Q8—791no—
1004#548—791no—
1005#548—791no—
1006#548—791no—
1007#548—791no—
1008#547—791no—
1009#546—791no—
1010#546—791no—
1011#546—1581no—
1012#546—1581no—
1013D42—791no—
1014D42—791no—
1015D42—1581no—
1016D42—1581no—
1017#542—791no—
1018#542—1581no—
1019#541—791no—
1020#539—1581no—
1021#538—1581no—
1022#538—1581no—
1023#537—791no—
1024#537—791no—
1025#537—1581no—
1026#536—791no—
1027#535—791no—
1028#535—1581no—
1029#525—791no—
1030#525—791no—
1031#525—1581no—
1032C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1033C2×#121—791no—
1034C2×#121—1581no—
1035#520—791no—
1036#497—791no—
1037#496—791no—
1038#495—791no—
1039#492—791no—
1040#490—791no—
1041#489—791no—
1042#488—791no—
1043#486—791no—
1044#485—791no—
1045#484—791no—
1046#484—791no—
1047#484—791no—
1048#483—791no—
1049#482—791no—
1050#482—791no—
1051#482—791no—
1052#480—791no—
1053#480—791no—
1054#480—791no—
1055#480—791no—
1056#479—791no—
1057#478—791no—
1058#477—791no—
1059#474—791no—
1060#470—791no—
1061#469—791no—
1062#469—791no—
1063#468—791no—
1064#468—791no—
1065#468—791no—
1066#468—791no—
1067#468—791no—
1068#468—791no—
1069#468—791no—
1070#468—791no—
1071#468—791no—
1072#467—791no—
1073#467—791no—
1074#466—791no—
1075#465—791no—
1076#464—791no—
1077#464—791no—
1078#464—791no—
1079#464—791no—
1080#463—791no—
1081#463—791no—
1082#462—791no—
1083#461—791no—
1084#460—791no—
1085#460—791no—
1086#460—791no—
1087#459—791no—
1088#452—791no—
1089#452—791no—
1090#452—791no—
1091#452—791no—
1092#452—791no—
1093#452—791no—
1094#452—791no—
1095#452—791no—
1096#452C2×D7911yescharacteristic
1097#452C2×D7911yescharacteristic
1098#452C2×D7911yescharacteristic, complemented
1099#452C2×D7911yescharacteristic, complemented
1100#451—791no—
1101#451C2×D7911yescharacteristic, complemented
1102#451C2×D7911yescharacteristic, complemented
1103#450—791no—
1104#450—791no—
1105#450—791no—
1106#450—791no—
1107#450—791no—
1108#450—791no—
1109#450C2×D7911yescharacteristic, complemented
1110#450C2×D7911yescharacteristic, complemented
1111#449—791no—
1112#449—791no—
1113#449—791no—
1114#449—791no—
1115#449—791no—
1116#449—791no—
1117#449—791no—
1118#449—791no—
1119#448—791no—
1120#448—791no—
1121#448—791no—
1122#447—791no—
1123#447—791no—
1124#441—791no—
1125#440—791no—
1126#440—791no—
1127#440—791no—
1128C4×Q16—791no—
1129C4×Q16—791no—
1130C4×SD16—791no—
1131C4×D8—791no—
1132#436—791no—
1133#436—791no—
1134#436—791no—
1135#436—791no—
1136#435—791no—
1137#435—791no—
1138#435—791no—
1139#435—791no—
1140#433—791no—
1141#433—791no—
1142#419—791no—
1143#418—791no—
1144#418—791no—
1145#417—791no—
1146#417C2×D7911yescharacteristic, complemented
1147#417C2×D7911yescharacteristic, complemented
1148#416—791no—
1149C2×#102—791no—
1150#408—791no—
1151#408—791no—
1152#407—791no—
1153#407C2×D7911yescharacteristic, complemented
1154H(5,𝔽2)—3162no—
1155H(5,𝔽2)—3162no—
1156C2×#41—21no—
1157C2×#41—21no—
1158C2×#41—42no—
1159C2×#41—42no—
1160C2×#41—791no—
1161C2×#41—791no—
1162C2×#41—791no—
1163C2×#41—791no—
1164C2×#41—791no—
1165C2×#41—1581no—
1166C2×#41C22×D7911yescharacteristic
1167C2×#41C22×D7911yescharacteristic
1168C2×#41C22×D7911yescharacteristic
1169C2×#41C22×D7911yescharacteristic
1170C22×Q8—791no—
1171C22×Q8C22×D7911yescharacteristic
1172C22×Q8C22×D7911yescharacteristic
1173C22×D4—21no—
1174C22×D4—791no—
1175C22×D4—791no—
1176C22×D4—791no—
1177C22×D4—1581no—
1178C22×D4—1581no—
1179C22×D4—1581no—
1180C22×D4—1581no—
1181C22×D4—1581no—
1182C22×D4—1581no—
1183C22×D4C22×D7911yescharacteristic
1184C23×C4—21no—
1185C23×C4C22×D7911yescharacteristic
1186#137—42no—
1187#137—42no—
1188#137—3162no—
1189#137—3162no—
1190AGL(1,ℤ/8)—3162no—
1191AGL(1,ℤ/8)—3162no—
1192#135—3162no—
1193C2×Q16—791no—
1194C2×Q16—791no—
1195C2×Q16C22×D7911yescharacteristic
1196C2×Q16C22×D7911yescharacteristic
1197C2×Q16C22×D7911yescharacteristic
1198C2×Q16C22×D7911yescharacteristic
1199C2×SD16—3162no—
1200C2×SD16—791no—
1201C2×SD16—791no—
1202C2×SD16—791no—
1203C2×SD16—791no—
1204C2×SD16—791no—
1205C2×SD16—791no—
1206C2×SD16—791no—
1207C2×SD16—791no—
1208C2×SD16—791no—
1209C2×SD16—791no—
1210C2×SD16C22×D7911yescharacteristic
1211C2×SD16C22×D7911yescharacteristic
1212C2×SD16C22×D7911yescharacteristic
1213C2×SD16C22×D7911yescharacteristic
1214C2×D8—791no—
1215C2×D8—791no—
1216C2×D8—791no—
1217C2×D8—791no—
1218C2×M16—791no—
1219C2×M16—791no—
1220C2×M16—791no—
1221C2×M16—791no—
1222C2×M16C22×D7911yescharacteristic
1223C2×M16C22×D7911yescharacteristic
1224C22×C8—791no—
1225C22×C8—791no—
1226C4⋊Q8—791no—
1227C4⋊Q8—791no—
1228C4⋊Q8—1581no—
1229C4⋊Q8—1581no—
1230#127—791no—
1231#127—791no—
1232#127—1581no—
1233#127—1581no—
1234#126—1581no—
1235#126—1581no—
1236#126—1581no—
1237#126—1581no—
1238#126—1581no—
1239#126—1581no—
1240#126—1581no—
1241#125—791no—
1242#125—1581no—
1243#125—1581no—
1244#125—1581no—
1245#125—1581no—
1246#124—791no—
1247#124—791no—
1248#124—791no—
1249#124—1581no—
1250#124—1581no—
1251#124—1581no—
1252#124—1581no—
1253#124—1581no—
1254#124—1581no—
1255#124—1581no—
1256#123—791no—
1257#123—791no—
1258#123—1581no—
1259#123—1581no—
1260#123—1581no—
1261#123—1581no—
1262#123—1581no—
1263#123—1581no—
1264#123—1581no—
1265#123—1581no—
1266#123—1581no—
1267#123—1581no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—791no—
1271C22⋊Q8—791no—
1272C22⋊Q8—791no—
1273C22⋊Q8—791no—
1274C22⋊Q8—791no—
1275C22⋊Q8—791no—
1276C22⋊Q8—791no—
1277C22⋊Q8—791no—
1278C22⋊Q8—791no—
1279C22⋊Q8—1581no—
1280C22⋊Q8—1581no—
1281C22⋊Q8—1581no—
1282C22⋊Q8—1581no—
1283C22⋊Q8—1581no—
1284C22⋊Q8—1581no—
1285C22⋊Q8—1581no—
1286C22⋊Q8—1581no—
1287C22⋊Q8—1581no—
1288C22⋊Q8—1581no—
1289C22⋊Q8—1581no—
1290C22⋊Q8C22×D7911yescharacteristic
1291C22⋊Q8C22×D7911yescharacteristic
1292C22⋊Q8C22×D7911yescharacteristic
1293C22⋊Q8C22×D7911yescharacteristic
1294#121—791no—
1295#121—791no—
1296#121—791no—
1297#121—791no—
1298#121—791no—
1299#121—791no—
1300#121—791no—
1301#121—791no—
1302#121—791no—
1303#121—791no—
1304#121—791no—
1305#121—1581no—
1306#121—1581no—
1307#121—1581no—
1308#121—1581no—
1309#121—1581no—
1310#121—1581no—
1311#121—1581no—
1312#121—1581no—
1313#121—1581no—
1314#121—1581no—
1315#121—1581no—
1316#121—1581no—
1317#121—1581no—
1318#121—1581no—
1319#121—1581no—
1320#121—1581no—
1321#121—1581no—
1322#121—1581no—
1323#121—1581no—
1324#121—1581no—
1325#121—1581no—
1326#121—1581no—
1327#121—1581no—
1328#121—1581no—
1329#120—791no—
1330#120—791no—
1331#120—1581no—
1332#120—1581no—
1333#120—1581no—
1334#120—1581no—
1335#120—1581no—
1336#120—1581no—
1337#120—1581no—
1338#120—1581no—
1339#120—1581no—
1340C4×Q8—791no—
1341C4×Q8—791no—
1342C4×Q8—791no—
1343C4×Q8—791no—
1344C4×Q8—791no—
1345C4×Q8—1581no—
1346C4×D4—791no—
1347C4×D4—791no—
1348C4×D4—791no—
1349C4×D4—791no—
1350C4×D4—791no—
1351C4×D4—791no—
1352C4×D4—791no—
1353C4×D4—1581no—
1354C4×D4—1581no—
1355C4×D4—1581no—
1356C4×D4—1581no—
1357C4×D4—1581no—
1358C4×D4—1581no—
1359C4×D4—1581no—
1360C4×D4—1581no—
1361C4×D4—1581no—
1362C4×D4—1581no—
1363C4×D4—1581no—
1364C4×D4—1581no—
1365C4×D4—1581no—
1366#117—791no—
1367#117—791no—
1368#117—791no—
1369#117—1581no—
1370#117—1581no—
1371C2×C4⋊C4—21no—
1372C2×C4⋊C4—791no—
1373C2×C4⋊C4—791no—
1374C2×C4⋊C4—1581no—
1375C2×C4⋊C4—1581no—
1376C2×C4⋊C4C22×D7911yescharacteristic
1377C2×C22⋊C4—21no—
1378C2×C22⋊C4—1581no—
1379C2×C22⋊C4—1581no—
1380C2×C22⋊C4—1581no—
1381#107—791no—
1382#107—791no—
1383#107—791no—
1384#107—791no—
1385#107—791no—
1386#107—791no—
1387#106—791no—
1388#106—791no—
1389C4⋊C8—791no—
1390C4⋊C8—791no—
1391C4⋊C8—791no—
1392C4⋊C8—791no—
1393#103—791no—
1394#103—791no—
1395#103—791no—
1396#103—791no—
1397#103—791no—
1398#103—791no—
1399#103—791no—
1400#103—791no—
1401#103—791no—
1402#103—791no—
1403#103C22×D7911yescharacteristic
1404#103C22×D7911yescharacteristic
1405#103C22×D7911yescharacteristic
1406#103C22×D7911yescharacteristic
1407#102—791no—
1408#102—791no—
1409#102—791no—
1410#102—791no—
1411#102—791no—
1412#102—791no—
1413#102—791no—
1414#102—791no—
1415#102—791no—
1416#102—791no—
1417#102—791no—
1418#102—791no—
1419#102—791no—
1420#102—791no—
1421#102C22×D7911yescharacteristic
1422#102C22×D7911yescharacteristic
1423#102C22×D7911yescharacteristic
1424#102C22×D7911yescharacteristic
1425C22⋊C8—791no—
1426C22⋊C8—791no—
1427C22⋊C8—791no—
1428C22⋊C8—791no—
1429C22⋊C8—791no—
1430C22⋊C8—791no—
1431C22⋊C8—791no—
1432C22⋊C8—791no—
1433C22⋊C8C22×D7911yescharacteristic
1434C22⋊C8C22×D7911yescharacteristic
1435C22⋊C8C22×D7911yescharacteristic
1436C22⋊C8C22×D7911yescharacteristic
1437#97—791no—
1438#97—791no—
1439C4×C8—791no—
1440C4×C8—791no—
1441C24—21no—
1442C24—1581no—
1443C24—1581no—
1444C24—1581no—
1445C24D4×D7911yescharacteristic
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—41no—
1451#41—41no—
1452#41—41no—
1453#41—41no—
1454#41—44no—
1455#41—44no—
1456#41—3164no—
1457#41—3161no—
1458#41—3161no—
1459#41—3161no—
1460#41—3161no—
1461#41—3161no—
1462#41—3161no—
1463#41—3161no—
1464#41—3161no—
1465#41—1582no—
1466#41—1582no—
1467C2×Q8—21no—
1468C2×Q8—21no—
1469C2×Q8—22no—
1470C2×Q8—41no—
1471C2×Q8—41no—
1472C2×Q8—41no—
1473C2×Q8—3161no—
1474C2×Q8—3161no—
1475C2×Q8—791no—
1476C2×Q8—791no—
1477C2×Q8—1581no—
1478C2×Q8—1581no—
1479C2×Q8C23×D7911yescharacteristic
1480C2×Q8C23×D7911yescharacteristic
1481C2×Q8C23×D7911yescharacteristic
1482C2×Q8C23×D7911yescharacteristic
1483C2×D4—21no—
1484C2×D4—22no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—41no—
1490C2×D4—44no—
1491C2×D4—3164no—
1492C2×D4—3161no—
1493C2×D4—3161no—
1494C2×D4—3164no—
1495C2×D4—3164no—
1496C2×D4—3161no—
1497C2×D4—3161no—
1498C2×D4—791no—
1499C2×D4—791no—
1500C2×D4—791no—
1501C2×D4—791no—
1502C2×D4—791no—
1503C2×D4—791no—
1504C2×D4—791no—
1505C2×D4—791no—
1506C2×D4—791no—
1507C2×D4—791no—
1508C2×D4—6322no—
1509C2×D4—6322no—
1510C2×D4—6322no—
1511C2×D4—1581no—
1512C2×D4—1581no—
1513C2×D4—1581no—
1514C2×D4—1581no—
1515C2×D4—1581no—
1516C2×D4—1581no—
1517C2×D4—1581no—
1518C2×D4—1581no—
1519C2×D4—1581no—
1520C2×D4—1581no—
1521C2×D4—1581no—
1522C2×D4—1581no—
1523C2×D4—1581no—
1524C2×D4—1582no—
1525C2×D4—1582no—
1526C2×D4—1581no—
1527C2×D4—1581no—
1528C2×D4—1581no—
1529C2×D4—1581no—
1530C2×D4—1581no—
1531C2×D4—1581no—
1532C2×D4—1581no—
1533C2×D4C23×D7911yescharacteristic
1534C2×D4C23×D7911yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—41no—
1543C22×C4—41no—
1544C22×C4—44no—
1545C22×C4—791no—
1546C22×C4—791no—
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×C4D4×D7911yescharacteristic
1558C22×C4D4×D7911yescharacteristic
1559C22×C4D4×D7911yescharacteristic
1560C22×C4C23×D7911yescharacteristic
1561C22×C4C23×D7911yescharacteristic
1562C22×C4C23×D7911yescharacteristic
1563Q16—22no—
1564Q16—22no—
1565Q16—41no—
1566Q16—41no—
1567Q16—3161no—
1568Q16—1582no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—3161no—
1574SD16—3161no—
1575SD16—3161no—
1576SD16—3161no—
1577SD16—3161no—
1578SD16—3161no—
1579SD16—3161no—
1580SD16—3161no—
1581SD16—1582no—
1582SD16—1582no—
1583D8—3161no—
1584D8—3161no—
1585D8—3161no—
1586D8—1582no—
1587M16—41no—
1588M16—41no—
1589M16—3161no—
1590M16—3161no—
1591M16—3161no—
1592M16—3161no—
1593C2×C8—3161no—
1594C2×C8—3161no—
1595C2×C8—791no—
1596C2×C8—791no—
1597C2×C8—791no—
1598C2×C8—791no—
1599C2×C8C23×D7911yescharacteristic
1600C2×C8C23×D7911yescharacteristic
1601C2×C8C23×D7911yescharacteristic
1602C2×C8C23×D7911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—791no—
1609C4⋊C4—791no—
1610C4⋊C4—791no—
1611C4⋊C4—791no—
1612C4⋊C4—791no—
1613C4⋊C4—791no—
1614C4⋊C4—791no—
1615C4⋊C4—791no—
1616C4⋊C4—791no—
1617C4⋊C4—791no—
1618C4⋊C4—1581no—
1619C4⋊C4—1581no—
1620C4⋊C4—1581no—
1621C4⋊C4—1581no—
1622C4⋊C4—1581no—
1623C4⋊C4—1581no—
1624C4⋊C4—1581no—
1625C4⋊C4—1581no—
1626C4⋊C4—1581no—
1627C4⋊C4—1581no—
1628C4⋊C4—1581no—
1629C4⋊C4—1581no—
1630C4⋊C4—1581no—
1631C4⋊C4—1581no—
1632C4⋊C4—1581no—
1633C4⋊C4—1581no—
1634C4⋊C4—1581no—
1635C4⋊C4—1581no—
1636C4⋊C4—1581no—
1637C4⋊C4C23×D7911yescharacteristic
1638C4⋊C4C23×D7911yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—791no—
1644C22⋊C4—791no—
1645C22⋊C4—791no—
1646C22⋊C4—791no—
1647C22⋊C4—791no—
1648C22⋊C4—791no—
1649C22⋊C4—791no—
1650C22⋊C4—791no—
1651C22⋊C4—791no—
1652C22⋊C4—791no—
1653C22⋊C4—1581no—
1654C22⋊C4—1581no—
1655C22⋊C4—1581no—
1656C22⋊C4—1581no—
1657C22⋊C4—1581no—
1658C22⋊C4—1581no—
1659C22⋊C4—1581no—
1660C22⋊C4—1581no—
1661C22⋊C4—1581no—
1662C22⋊C4—1581no—
1663C22⋊C4—1581no—
1664C22⋊C4—1581no—
1665C22⋊C4—1581no—
1666C22⋊C4—1581no—
1667C22⋊C4—1581no—
1668C22⋊C4—1581no—
1669C22⋊C4—1581no—
1670C22⋊C4—1581no—
1671C22⋊C4—1581no—
1672C22⋊C4—1581no—
1673C22⋊C4—1581no—
1674C22⋊C4—1581no—
1675C22⋊C4—1581no—
1676C22⋊C4—1581no—
1677C22⋊C4—1581no—
1678C22⋊C4—1581no—
1679C22⋊C4—1581no—
1680C42—791no—
1681C42—791no—
1682C42—1581no—
1683C42—1581no—
1684C42—1581no—
1685C42—1581no—
1686C42—1581no—
1687C42—1581no—
1688C42—1581no—
1689C23—21no—
1690C23—21no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—42no—
1695C23—42no—
1696C23—81no—
1697C23—3162no—
1698C23—3162no—
1699C23—3162no—
1700C23—791no—
1701C23—791no—
1702C23—6321no—
1703C23—6321no—
1704C23—6321no—
1705C23—6321no—
1706C23—6321no—
1707C23—6321no—
1708C23—1581no—
1709C23—1581no—
1710C23—1581no—
1711C23C2×D4×D7911yescharacteristic
1712C23C2×D4×D7911yescharacteristic
1713C23C2×D4×D7911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—21no—
1721Q8—42no—
1722Q8—81no—
1723Q8—3161no—
1724Q8—6321no—
1725Q8—6321no—
1726Q8—1581no—
1727Q8—1581no—
1728Q8#1457920612yes—
1729D4—24no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—42no—
1737D4—3162no—
1738D4—3162no—
1739D4—3162no—
1740D4—3161no—
1741D4—3162no—
1742D4—3162no—
1743D4—3162no—
1744D4—3162no—
1745D4—3162no—
1746D4—3161no—
1747D4—3161no—
1748D4—3161no—
1749D4—3161no—
1750D4—3161no—
1751D4—3161no—
1752D4—6321no—
1753D4—6321no—
1754D4—6321no—
1755D4—6321no—
1756D4—6321no—
1757D4—6321no—
1758D4—6321no—
1759D4—6321no—
1760D4—6321no—
1761D4—6321no—
1762D4—6321no—
1763D4—6321no—
1764D4—1581no—
1765D4—1581no—
1766D4—1581no—
1767D4—1581no—
1768D4—1581no—
1769D4—1581no—
1770D4#1457920612yes—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—42no—
1788C2×C4—42no—
1789C2×C4—42no—
1790C2×C4—42no—
1791C2×C4—81no—
1792C2×C4—81no—
1793C2×C4—3162no—
1794C2×C4—3162no—
1795C2×C4—791no—
1796C2×C4—791no—
1797C2×C4—791no—
1798C2×C4—791no—
1799C2×C4—791no—
1800C2×C4—791no—
1801C2×C4—6321no—
1802C2×C4—6321no—
1803C2×C4—6321no—
1804C2×C4—6321no—
1805C2×C4—6321no—
1806C2×C4—6321no—
1807C2×C4—6321no—
1808C2×C4—6321no—
1809C2×C4—1581no—
1810C2×C4—1581no—
1811C2×C4—1581no—
1812C2×C4—1581no—
1813C2×C4—1581no—
1814C2×C4—1581no—
1815C2×C4—1581no—
1816C2×C4—1581no—
1817C2×C4—1581no—
1818C2×C4C2×D4×D7911yescharacteristic
1819C2×C4C2×D4×D7911yescharacteristic
1820C2×C4C2×D4×D7911yescharacteristic
1821C2×C4C24×D7911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1581no—
1827C8—1581no—
1828C8—1581no—
1829C8—1581no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—22no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—82no—
1846C22—84no—
1847C22—3161no—
1848C22—3161no—
1849C22—3161no—
1850C22—3161no—
1851C22—3161no—
1852C22—3161no—
1853C22—3161no—
1854C22—3161no—
1855C22—3161no—
1856C22—1581no—
1857C22—1581no—
1858C22—1581no—
1859C22—1581no—
1860C22—1581no—
1861C22—1581no—
1862C22—12642no—
1863C22—12642no—
1864C22—12642no—
1865C22C22×D4×D7911yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—3161no—
1876C4—3161no—
1877C4—3161no—
1878C4—3161no—
1879C4—3161no—
1880C4—1581no—
1881C4—1581no—
1882C4—1581no—
1883C4—1581no—
1884C4—1581no—
1885C4—1581no—
1886C4C2×#1457920611yescharacteristic
1887C4C2×#1457920611yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—42no—
1892C2—81no—
1893C2—3161no—
1894C2—3161no—
1895C2—6321no—
1896C2—6321no—
1897C2—6321no—
1898C2#2377702911yescharacteristic
1899C2#2377817711yescharacteristic
1900C2#2377818311yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3007C2
socleC22×C79C23×D4
hypercenter#3007D79
hypocenterC79#61654
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3007

Complements

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

NH ≅ G/Ntype
1. #23777697C2semidirect
2. #23777069C2semidirect
3. #23775734C2semidirect
4. #23775672C2semidirect
5. #23775624C2semidirect
6. #23775602C2semidirect
7. #23775482C2semidirect
8. #23775459C2semidirect
9. #23775414C2semidirect
10. #23775407C2semidirect
11. #23775060C2semidirect
12. #23775057C2semidirect
13. #23775025C2semidirect
14. #23774998C2semidirect
15. #23774979C2semidirect
16. #23774958C2semidirect
17. #23774904C2semidirect
18. #23774893C2semidirect
19. #23774500C2semidirect
20. #23774470C2semidirect
21. #23774301C2semidirect
22. #23774279C2semidirect
23. #23774216C2semidirect
24. #23774202C2semidirect
25. #23773663C2semidirect
26. #23773607C2semidirect
27. #23772708C2semidirect
28. #23772674C2semidirect
29. #23772642C2semidirect
30. #23772460C2semidirect
31. C79×#3007C2semidirect
33. C2×#14579193C22semidirect
34. C2×#14579192C22semidirect
35. C2×#14579188C22semidirect
36. C2×#14579187C22semidirect
37. C2×#14579184C22semidirect
38. C2×SD16×D79C22semidirect
41. #19099284C22semidirect
43. #19099268C22semidirect
45. #19099261C22semidirect
46. #19099247C22semidirect
49. Q8×C22⋊D79C22semidirect
52. #19099224C22semidirect
53. #19099223C22semidirect
54. #19099215C22semidirect
63. #19099186C22semidirect
65. #19099173C22semidirect
69. #19099143C22semidirect
72. #19099136C22semidirect
77. #19099074C22semidirect
81. #19098956C22semidirect
82. #19098949C22semidirect
83. #19098948C22semidirect
84. #19098934C22semidirect
85. #19098926C22semidirect
86. #19098924C22semidirect
87. #19098919C22semidirect
88. #19098908C22semidirect
89. #19098902C22semidirect
90. #19098897C22semidirect
91. #19098896C22semidirect
92. #19098896C22semidirect
93. #19098894C22semidirect
94. #19098888C22semidirect
95. #19098888C22semidirect
96. #19098886C22semidirect
97. #19098877C22semidirect
98. #19098876C22semidirect
99. #19098876C22semidirect
100. #19098875C22semidirect
101. #19098868C22semidirect
102. #19098865C22semidirect
103. #19098856C22semidirect
104. #19098841C22semidirect
105. #19098818C22semidirect
106. #19098816C22semidirect
107. #19098816C22semidirect
108. #19098812C22semidirect
109. #19098811C22semidirect
110. #19098811C22semidirect
111. #19098811C22semidirect
112. #19098811C22semidirect
113. #19098809C22semidirect
114. #19098809C22semidirect
115. #19098808C22semidirect
116. #19098806C22semidirect
117. #19098803C22semidirect
118. #19098801C22semidirect
119. #19098798C22semidirect
120. #19098789C22semidirect
121. #19098788C22semidirect
122. #19098787C22semidirect
123. #19098787C22semidirect
124. #19098787C22semidirect
125. #19098781C22semidirect
126. #19098780C22semidirect
127. #19098771C22semidirect
128. #19098766C22semidirect
129. #19098762C22semidirect
130. #19098761C22semidirect
131. #19098761C22semidirect
132. #19098757C22semidirect
133. #19098728C22semidirect
135. #19098725C22semidirect
136. #19098725C22semidirect
137. #19098725C22semidirect
138. #19098724C22semidirect
139. #19098724C22semidirect
140. #19098724C22semidirect
141. #19098717C22semidirect
142. #19098716C22semidirect
143. #19098715C22semidirect
144. #19098713C22semidirect
145. #19098713C22semidirect
146. #19098712C22semidirect
147. #19098712C22semidirect
148. #19098711C22semidirect
149. #19098710C22semidirect
150. #19098710C22semidirect
152. #19098708C22semidirect
153. #19098708C22semidirect
154. #19098708C22semidirect
155. #19098707C22semidirect
156. #19098702C22semidirect
157. #19098702C22semidirect
158. #19098700C22semidirect
159. #19098699C22semidirect
160. #19098698C22semidirect
161. #19098670C22semidirect
162. #19098666C22semidirect
163. #19098664C22semidirect
164. #19098660C22semidirect
165. Q16×Dic79C22semidirect
166. #19098655C22semidirect
167. SD16×Dic79C22semidirect
168. #19098643C22semidirect
169. #19098639C22semidirect
170. #19098639C22semidirect
171. #19098638C22semidirect
172. #19098638C22semidirect
173. #19098637C22semidirect
174. #19098637C22semidirect
175. #19098632C22semidirect
176. #19098632C22semidirect
177. #19098621C22semidirect
178. #19098621C22semidirect
179. #19098572C22semidirect
180. #19098568C22semidirect
181. #19098566C22semidirect
182. #19098563C22semidirect
183. #19098558C22semidirect
184. #102×D79C22semidirect
185. #19098528C22semidirect
186. #19098528C22semidirect
187. #19098527C22semidirect
189. C2×#137×C79C22semidirect
190. C2×#137×C79C22semidirect
191. C2×C22⋊Q8×C79C22semidirect
194. #452×C79C22semidirect
195. #452×C79C22semidirect
196. #451×C79C22semidirect
197. #451×C79C22semidirect
198. #450×C79C22semidirect
199. #450×C79C22semidirect
200. #417×C79C22semidirect
201. #417×C79C22semidirect
202. #407×C79C22semidirect
979. #3007D79semidirect
982. C79#61654semidirect
987. C2×#137C2×D79semidirect
988. C2×#137C2×D79semidirect
1032. C2×C22⋊Q8C2×D79semidirect
1098. #452C2×D79semidirect
1099. #452C2×D79semidirect
1101. #451C2×D79semidirect
1102. #451C2×D79semidirect
1109. #450C2×D79semidirect
1110. #450C2×D79semidirect
1146. #417C2×D79semidirect
1147. #417C2×D79semidirect
1153. #407C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237776972
#237770692
#237757342
#237756722
#237756242
#237756022
#237754822
#237754592
#237754142
#237754072
#237750602
#237750572
#237750252
#237749982
#237749792
#237749582
#237749042
#237748932
#237745002
#237744702
#237743012
#237742792
#237742162
#237742022
#237736632
#237736072
#237727082
#237726742
#237726422
#237724602
C79×#30072
#6165479