Finite Group Databasebeta

← #35173238

Subgroups — #35173238

Order 20224.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777426C211yesmaximal, characteristic, complemented
2#41×C22⋊D79C211yesmaximal, characteristic, complemented
3#23775579C211yesmaximal, characteristic, complemented
4#23775564C211yesmaximal, characteristic, complemented
5#23775549C211yesmaximal, characteristic, complemented
6#23775534C211yesmaximal, characteristic, complemented
7#23775512C211yesmaximal, characteristic, complemented
8#23775482C211yesmaximal, characteristic, complemented
9#23775407C211yesmaximal, characteristic, complemented
10#23775377C211yesmaximal, characteristic, complemented
11#23774988C211yesmaximal, characteristic, complemented
12#23774938C211yesmaximal, characteristic, complemented
13#23774934C211yesmaximal, characteristic, complemented
14#23774919C211yesmaximal, characteristic, complemented
15#23774913C211yesmaximal, characteristic, complemented
16#23774889C211yesmaximal, characteristic, complemented
17#23774878C211yesmaximal, characteristic, complemented
18#23774874C211yesmaximal, characteristic, complemented
19#23774435C211yesmaximal, characteristic, complemented
20#23774392C211yesmaximal, characteristic, complemented
21#23774242C211yesmaximal, characteristic, complemented
22#23774214C211yesmaximal, characteristic, complemented
23#23774190C211yesmaximal, characteristic, complemented
24#23774163C211yesmaximal, characteristic, complemented
25#23773544C211yesmaximal, characteristic, complemented
26#23773502C211yesmaximal, characteristic, complemented
27#23772642C211yesmaximal, characteristic, complemented
28#23772615C211yesmaximal, characteristic, complemented
29#449×D79C211yesmaximal, characteristic, complemented
30#23772427C211yesmaximal, characteristic, complemented
31C79×#3006C211yesmaximal, characteristic, complemented
32C2×#41×D79C2211yescharacteristic, complemented
33C2×#14579192C2211yescharacteristic, complemented
34C2×#14579187C2211yescharacteristic, complemented
35C2×#14579182C2211yescharacteristic, complemented
36C2×#14579180C2211yescharacteristic, complemented
37C2×SD16×D79C2211yescharacteristic, complemented
38C2×D8×D79C2211yescharacteristic, complemented
39#19099277C2211yescharacteristic, complemented
40#19099268C2211yescharacteristic, complemented
41#19099261C2211yescharacteristic, complemented
42#19099260C2211yescharacteristic
43#19099256—21no—
44#19099232C2211yescharacteristic, complemented
45#19099231C2211yescharacteristic, complemented
46Q8×C22⋊D79C2211yescharacteristic, complemented
47#19099224C2211yescharacteristic, complemented
48#19099220C2211yescharacteristic
49#19099212—21no—
50#19099212C2211yescharacteristic, complemented
51#19099210C2211yescharacteristic
52#19099207—21no—
53#19099207—21no—
54#19099207C2211yescharacteristic, complemented
55#19099207C2211yescharacteristic, complemented
56#19099202—21no—
57#19099201—21no—
58#19099201C2211yescharacteristic
59D4×C22⋊D79—21no—
60D4×C22⋊D79—21no—
61D4×C22⋊D79C2211yescharacteristic, complemented
62D4×C22⋊D79C2211yescharacteristic, complemented
63#19099163—21no—
64#19099151—21no—
65#19099145—21no—
66#19099109—21no—
67#19099109C2211yescharacteristic, complemented
68#19099108C2211yescharacteristic, complemented
69#19099094C2211yescharacteristic, complemented
70#19099074—21no—
71#19099074C2211yescharacteristic, complemented
72#19099074C2211yescharacteristic, complemented
73#19099073C2211yescharacteristic, complemented
74#19099070—21no—
75#19099070C2211yescharacteristic, complemented
76#121×D79C2211yescharacteristic, complemented
77#19099036—21no—
78#41×Dic79C2211yescharacteristic, complemented
79C2×C4×C22⋊D79—21no—
80C2×C4×C22⋊D79C2211yescharacteristic
81#19098954C2211yescharacteristic, complemented
82#19098951C2211yescharacteristic, complemented
83#19098951C2211yescharacteristic, complemented
84#19098949C2211yescharacteristic, complemented
85#19098930C2211yescharacteristic, complemented
86#19098926C2211yescharacteristic, complemented
87#19098924C2211yescharacteristic, complemented
88#19098921C2211yescharacteristic, complemented
89#19098905C2211yescharacteristic, complemented
90#19098905C2211yescharacteristic, complemented
91#19098903C2211yescharacteristic, complemented
92#19098897C2211yescharacteristic, complemented
93#19098893C2211yescharacteristic, complemented
94#19098888C2211yescharacteristic, complemented
95#19098888C2211yescharacteristic, complemented
96#19098886C2211yescharacteristic, complemented
97#19098884C2211yescharacteristic, complemented
98#19098884C2211yescharacteristic, complemented
99#19098880C2211yescharacteristic, complemented
100#19098876C2211yescharacteristic, complemented
101#19098868C2211yescharacteristic, complemented
102#19098861C2211yescharacteristic, complemented
103#19098846C2211yescharacteristic, complemented
104#19098841C2211yescharacteristic, complemented
105#19098821C2211yescharacteristic, complemented
106#19098816C2211yescharacteristic, complemented
107#19098814C2211yescharacteristic, complemented
108#19098814C2211yescharacteristic, complemented
109#19098809C2211yescharacteristic, complemented
110#19098809C2211yescharacteristic, complemented
111#19098807C2211yescharacteristic, complemented
112#19098807C2211yescharacteristic, complemented
113#19098803C2211yescharacteristic, complemented
114#19098798C2211yescharacteristic, complemented
115#19098796C2211yescharacteristic, complemented
116#19098796C2211yescharacteristic, complemented
117#19098795C2211yescharacteristic, complemented
118#19098791C2211yescharacteristic, complemented
119#19098789C2211yescharacteristic, complemented
120#19098789C2211yescharacteristic, complemented
121#19098788C2211yescharacteristic, complemented
122#19098784C2211yescharacteristic, complemented
123#19098783C2211yescharacteristic, complemented
124#19098780C2211yescharacteristic, complemented
125#19098776C2211yescharacteristic, complemented
126#19098776C2211yescharacteristic, complemented
127#19098767C2211yescharacteristic, complemented
128#19098766C2211yescharacteristic, complemented
129#19098761C2211yescharacteristic, complemented
130#19098757C2211yescharacteristic, complemented
131#19098756C2211yescharacteristic, complemented
132#19098756C2211yescharacteristic, complemented
133#19098727C2211yescharacteristic, complemented
134#19098727C2211yescharacteristic, complemented
135#19098725C2211yescharacteristic, complemented
136#19098725C2211yescharacteristic, complemented
137#19098725C2211yescharacteristic, complemented
138#19098725C2211yescharacteristic, complemented
139#19098722C2211yescharacteristic, complemented
140#19098720C2211yescharacteristic, complemented
141#19098715C2211yescharacteristic, complemented
142#19098714C2211yescharacteristic, complemented
143#19098712C2211yescharacteristic, complemented
144#19098711C2211yescharacteristic, complemented
145#19098710C2211yescharacteristic, complemented
146#19098710C2211yescharacteristic, complemented
147#19098709C2211yescharacteristic, complemented
148#19098708C2211yescharacteristic, complemented
149#19098708C2211yescharacteristic, complemented
150#19098708C2211yescharacteristic, complemented
151#19098708C2211yescharacteristic, complemented
152#19098707C2211yescharacteristic, complemented
153#19098706C2211yescharacteristic, complemented
154#19098706C2211yescharacteristic, complemented
155#19098705C2211yescharacteristic, complemented
156#19098705C2211yescharacteristic, complemented
157#19098700C2211yescharacteristic, complemented
158#19098697C2211yescharacteristic, complemented
159#19098695C2211yescharacteristic, complemented
160#19098695C2211yescharacteristic, complemented
161#19098675C2211yescharacteristic, complemented
162#19098675C2211yescharacteristic, complemented
163#19098672C2211yescharacteristic, complemented
164#19098667C2211yescharacteristic, complemented
165#19098666C2211yescharacteristic, complemented
166#19098664C2211yescharacteristic, complemented
167#19098664C2211yescharacteristic, complemented
168#19098660C2211yescharacteristic, complemented
169#19098637C2211yescharacteristic, complemented
170#19098637C2211yescharacteristic, complemented
171#19098637C2211yescharacteristic, complemented
172#19098637C2211yescharacteristic, complemented
173#19098632C2211yescharacteristic, complemented
174#19098632C2211yescharacteristic, complemented
175#19098632C2211yescharacteristic, complemented
176#19098632C2211yescharacteristic, complemented
177#19098617C2211yescharacteristic, complemented
178#19098617C2211yescharacteristic, complemented
179#19098572C2211yescharacteristic, complemented
180#19098568C2211yescharacteristic, complemented
181#19098558C2211yescharacteristic, complemented
182#19098556C2211yescharacteristic, complemented
183#103×D79C2211yescharacteristic, complemented
184#102×D79C2211yescharacteristic, complemented
185#19098527C2211yescharacteristic, complemented
186C22⋊C8×D79C2211yescharacteristic, complemented
187C22⋊C8×D79C2211yescharacteristic, complemented
188C22×#41×C79C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
191C2×#121×C79C2211yescharacteristic, complemented
192#449×C79C2211yescharacteristic
193#449×C79C2211yescharacteristic, complemented
194#449×C79C2211yescharacteristic, complemented
195#449×C79C2211yescharacteristic, complemented
196#448×C79C2211yescharacteristic, complemented
197#448×C79C2211yescharacteristic, complemented
198#447×C79C2211yescharacteristic, complemented
199#447×C79C2211yescharacteristic, complemented
200#417×C79C2211yescharacteristic, complemented
201#417×C79C2211yescharacteristic, complemented
202#407×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929624C2311yescharacteristic
206C2×#11929624C2311yescharacteristic
207C2×#11929623—21no—
208C2×#11929623—21no—
209C2×#11929623C2311yescharacteristic
210C2×#11929623C2311yescharacteristic
211#41×D79—42no—
212#41×D79—42no—
213C2×Q8×D79C2311yescharacteristic
214C22×C22⋊D79—21no—
215C22×C22⋊D79—21no—
216C22×C22⋊D79D411yescharacteristic
217C2×D4×D79—21no—
218C2×D4×D79—21no—
219C2×D4×D79C2311yescharacteristic
220C2×D4×D79C2311yescharacteristic
221C22×C4×D79—21no—
222C22×C4×D79C2311yescharacteristic
223#14579192—42no—
224#14579187—42no—
225#14579182—42no—
226#14579180—42no—
227C2×Dic316C2311yescharacteristic
228C2×#11929614C2311yescharacteristic
229C2×#11929614C2311yescharacteristic
230C2×#11929613C2311yescharacteristic
231C2×#11929613C2311yescharacteristic
232C2×#11929612C2311yescharacteristic
233C2×#11929612C2311yescharacteristic
234C2×#11929612C2311yescharacteristic
235C2×#11929612C2311yescharacteristic
236C2×#11929611C2311yescharacteristic
237C2×#11929611C2311yescharacteristic
238SD16×D79—42no—
239C2×D632C2311yescharacteristic
240C2×#11929609C2311yescharacteristic
241C2×#11929609C2311yescharacteristic
242C2×#11929609C2311yescharacteristic
243C2×#11929609C2311yescharacteristic
244D8×D79—42no—
245C2×#11929608C2311yescharacteristic
246C2×#11929608C2311yescharacteristic
247C2×C8×D79C2311yescharacteristic
248C2×C8×D79C2311yescharacteristic
249C2×C8×D79C2311yescharacteristic
250C2×C8×D79C2311yescharacteristic
251#14579160C2311yescharacteristic
252#14579159—21no—
253#14579159C2311yescharacteristic
254#14579157—21no—
255#14579157—21no—
256#14579157C2311yescharacteristic
257#14579157C2311yescharacteristic
258#14579156—21no—
259#14579154—21no—
260#14579154—21no—
261#14579152C2311yescharacteristic
262#14579151—21no—
263#14579150—21no—
264#14579150C2311yescharacteristic
265#14579148—21no—
266#14579148—21no—
267#14579148C2311yescharacteristic
268#14579148C2311yescharacteristic
269#14579147—21no—
270#14579147—21no—
271#14579146—21no—
272#14579144—21no—
273#14579144—21no—
274#14579144—21no—
275#14579144—21no—
276#14579143—21no—
277#14579143—21no—
278#14579142—21no—
279#14579142—21no—
280#14579142—21no—
281#14579142—21no—
282#14579142—21no—
283#14579142—21no—
284#14579141C2311yescharacteristic
285#14579140—21no—
286#14579140—21no—
287#14579140—21no—
288#14579140C2311yescharacteristic
289#14579140C2311yescharacteristic
290#14579140C2311yescharacteristic
291#14579140C2311yescharacteristic
292#14579139—21no—
293#14579137—21no—
294#14579137—21no—
295#14579137C2311yescharacteristic
296#14579137C2311yescharacteristic
297#14579136C2311yescharacteristic
298#14579135—21no—
299#14579135—21no—
300#14579135—21no—
301#14579135C2311yescharacteristic
302#14579135C2311yescharacteristic
303#14579135C2311yescharacteristic
304#14579135C2311yescharacteristic
305#14579134—21no—
306#14579134—21no—
307#14579133—21no—
308#14579133—21no—
309#14579133—21no—
310#14579133—21no—
311#14579133—21no—
312#14579133—21no—
313#14579133—21no—
314#14579133—21no—
315#14579133—21no—
316#14579133—21no—
317#14579133—21no—
318#14579133—21no—
319#14579132—21no—
320#14579132—21no—
321#14579132—21no—
322#14579132—21no—
323#14579132C2311yescharacteristic
324#14579132C2311yescharacteristic
325#14579132C2311yescharacteristic
326#14579132C2311yescharacteristic
327#14579130—21no—
328#14579130—21no—
329#14579130—21no—
330#14579130—21no—
331#14579130—21no—
332#14579130—21no—
333#14579129—21no—
334#14579129—21no—
335#14579129—21no—
336#14579129—21no—
337#14579129—21no—
338#14579129—21no—
339Q8×Dic79C2311yescharacteristic
340Q8×Dic79C2311yescharacteristic
341#14579126C2311yescharacteristic
342D4×Dic79—21no—
343D4×Dic79—21no—
344D4×Dic79—21no—
345D4×Dic79—21no—
346D4×Dic79C2311yescharacteristic
347D4×Dic79C2311yescharacteristic
348D4×Dic79C2311yescharacteristic
349D4×Dic79C2311yescharacteristic
350#14579123C2311yescharacteristic
351C4×C22⋊D79—21no—
352C4×C22⋊D79—21no—
353C4×C22⋊D79—21no—
354C4×C22⋊D79—21no—
355C4×C22⋊D79—21no—
356C4×C22⋊D79—21no—
357C4×C22⋊D79—21no—
358C4×C22⋊D79—21no—
359C4×C22⋊D79—21no—
360C4×C22⋊D79—21no—
361C4×C22⋊D79—21no—
362C4×C22⋊D79—21no—
363C4×C22⋊D79—21no—
364C4×C22⋊D79—21no—
365C4×C22⋊D79D411yescharacteristic
366C4×C22⋊D79D411yescharacteristic
367C4×C22⋊D79D411yescharacteristic
368C4×C22⋊D79D411yescharacteristic
369C4×C22⋊D79C2311yescharacteristic
370C4×C22⋊D79C2311yescharacteristic
371C4×C22⋊D79C2311yescharacteristic
372C4×C22⋊D79C2311yescharacteristic
373(C22⋊D79)⋊C4—21no—
374(C22⋊D79)⋊C4—21no—
375(C22⋊D79)⋊C4—21no—
376(C22⋊D79)⋊C4—21no—
377#14579120—21no—
378#14579120C2311yescharacteristic
379#14579120C2311yescharacteristic
380#14579119C2311yescharacteristic
381#14579117—21no—
382#14579117—21no—
383C2×Dic79⋊C4—21no—
384C2×Dic79⋊C4D411yescharacteristic
385C4⋊C4×D79C2311yescharacteristic
386C2×C22⋊Dic79—21no—
387C2×C22⋊Dic79—21no—
388C2×C22⋊Dic79D411yescharacteristic
389C2×(C2×D79)⋊C4—21no—
390C2×(C2×D79)⋊C4D411yescharacteristic
391C22⋊C4×D79—21no—
392C22⋊C4×D79—21no—
393C2×C4×Dic79—21no—
394C2×C4×Dic79C2311yescharacteristic
395#14579095C2311yescharacteristic
396#14579095C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579093C2311yescharacteristic
400#14579093C2311yescharacteristic
401#14579092C2311yescharacteristic
402#14579092C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579085C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
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
441#14579071C2311yescharacteristic
442#14579071C2311yescharacteristic
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×D4×C79—21no—
453C22×D4×C79—21no—
454C22×D4×C79C2311yescharacteristic
455C22×D4×C79C2311yescharacteristic
456C23×C4×C79—21no—
457C23×C4×C79C2311yescharacteristic
458AGL(1,ℤ/8)×C79—42no—
459AGL(1,ℤ/8)×C79—42no—
460C2×SD16×C79C2311yescharacteristic
461C2×SD16×C79C2311yescharacteristic
462C2×SD16×C79C2311yescharacteristic
463C2×SD16×C79C2311yescharacteristic
464C2×D8×C79C2311yescharacteristic
465C2×D8×C79C2311yescharacteristic
466C2×D8×C79C2311yescharacteristic
467C2×D8×C79C2311yescharacteristic
468C2×M16×C79C2311yescharacteristic
469C2×M16×C79C2311yescharacteristic
470#121×C79—21no—
471#121×C79—21no—
472#121×C79C2311yescharacteristic
473#121×C79C2311yescharacteristic
474#121×C79C2311yescharacteristic
475#121×C79C2311yescharacteristic
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×D79C2×D411yescharacteristic
493#11929625—22no—
494#11929625—41no—
495#11929624—41no—
496#11929624—41no—
497#11929624—44no—
498#11929624—41no—
499#11929624—41no—
500#11929623—22no—
501#11929623—41no—
502#11929623—44no—
503#11929623—41no—
504#11929623—41no—
505#11929623—82no—
506C2×Dic158—21no—
507C2×Dic158—21no—
508C2×Dic158C2411yescharacteristic
509C2×Dic158C2411yescharacteristic
510Q8×D79—22no—
511Q8×D79—41no—
512C2×D316—21no—
513C2×D316—21no—
514C2×D316C2411yescharacteristic
515C2×D316C2411yescharacteristic
516C2×C22⋊D79—21no—
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79—21no—
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—42no—
535C2×C22⋊D79—44no—
536C2×C22⋊D79—44no—
537C2×C22⋊D79C2×D411yescharacteristic
538C2×C22⋊D79C2×D411yescharacteristic
539C2×C22⋊D79C2×D411yescharacteristic
540C2×C22⋊D79C2×D411yescharacteristic
541D4×D79—22no—
542D4×D79—41no—
543D4×D79—44no—
544D4×D79—41no—
545D4×D79—41no—
546D4×D79—82no—
547C22×Dic79—21no—
548C22×Dic79—21no—
549C22×Dic79—21no—
550C22×Dic79—21no—
551C22×Dic79—21no—
552C22×Dic79—21no—
553C22×Dic79C2×D411yescharacteristic
554C22×Dic79C2×D411yescharacteristic
555C22×Dic79C2×D411yescharacteristic
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×D79—41no—
563C2×C4×D79—41no—
564C2×C4×D79—44no—
565C2×C4×D79C2×D411yescharacteristic
566C2×C4×D79C2×D411yescharacteristic
567C2×C4×D79C2411yescharacteristic
568C2×C4×D79C2411yescharacteristic
569Dic316—41no—
570#11929614—22no—
571#11929614—41no—
572#11929613—41no—
573#11929613—41no—
574#11929612—22no—
575#11929612—41no—
576#11929612—41no—
577#11929612—41no—
578#11929611—22no—
579#11929611—41no—
580D632—41no—
581#11929609—22no—
582#11929609—41no—
583#11929609—41no—
584#11929609—41no—
585#11929608—41no—
586#11929608—41no—
587C2×C79⋊C8C2411yescharacteristic
588C2×C79⋊C8C2411yescharacteristic
589C2×C79⋊C8C2411yescharacteristic
590C2×C79⋊C8C2411yescharacteristic
591C8×D79—41no—
592C8×D79—41no—
593C8×D79—41no—
594C8×D79—41no—
595C4⋊Dic79—21no—
596C4⋊Dic79—21no—
597C4⋊Dic79—21no—
598C4⋊Dic79—21no—
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⋊Dic79—21no—
627C22⋊Dic79—21no—
628C22⋊Dic79—21no—
629C22⋊Dic79—21no—
630C22⋊Dic79—21no—
631C22⋊Dic79—21no—
632C22⋊Dic79—21no—
633C22⋊Dic79—21no—
634C22⋊Dic79—21no—
635C22⋊Dic79—21no—
636C22⋊Dic79—21no—
637C22⋊Dic79C2×D411yescharacteristic
638C22⋊Dic79C2×D411yescharacteristic
639C22⋊Dic79C2×D411yescharacteristic
640C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
653(C2×D79)⋊C4C2×D411yescharacteristic
654(C2×D79)⋊C4C2×D411yescharacteristic
655(C2×D79)⋊C4C2×D411yescharacteristic
656(C2×D79)⋊C4C2×D411yescharacteristic
657C4×Dic79—21no—
658C4×Dic79—21no—
659C4×Dic79—21no—
660C4×Dic79—21no—
661C4×Dic79—21no—
662C4×Dic79—21no—
663C4×Dic79C2×D411yescharacteristic
664C4×Dic79C2×D411yescharacteristic
665C4×Dic79C2411yescharacteristic
666C4×Dic79C2411yescharacteristic
667C24×C79—21no—
668C24×C79—21no—
669C24×C79C2×D411yescharacteristic
670#41×C79—22no—
671#41×C79—22no—
672#41×C79—22no—
673#41×C79—22no—
674#41×C79—41no—
675#41×C79—41no—
676#41×C79—41no—
677#41×C79—41no—
678#41×C79—44no—
679#41×C79—44no—
680C2×Q8×C79—21no—
681C2×Q8×C79—22no—
682C2×Q8×C79—41no—
683C2×Q8×C79C2411yescharacteristic
684C2×Q8×C79C2411yescharacteristic
685C2×D4×C79—21no—
686C2×D4×C79—22no—
687C2×D4×C79—21no—
688C2×D4×C79—21no—
689C2×D4×C79—21no—
690C2×D4×C79—21no—
691C2×D4×C79—21no—
692C2×D4×C79—21no—
693C2×D4×C79—21no—
694C2×D4×C79—21no—
695C2×D4×C79—21no—
696C2×D4×C79—41no—
697C2×D4×C79—41no—
698C2×D4×C79—41no—
699C2×D4×C79—44no—
700C2×D4×C79—82no—
701C2×D4×C79C2411yescharacteristic
702C2×D4×C79C2411yescharacteristic
703C2×D4×C79C2411yescharacteristic
704C2×D4×C79C2411yescharacteristic
705C22×C4×C79—21no—
706C22×C4×C79—21no—
707C22×C4×C79—21no—
708C22×C4×C79—21no—
709C22×C4×C79—21no—
710C22×C4×C79—21no—
711C22×C4×C79—41no—
712C22×C4×C79—41no—
713C22×C4×C79—44no—
714C22×C4×C79C2×D411yescharacteristic
715C22×C4×C79C2×D411yescharacteristic
716C22×C4×C79C2×D411yescharacteristic
717C22×C4×C79C2411yescharacteristic
718C22×C4×C79C2411yescharacteristic
719C22×C4×C79C2411yescharacteristic
720SD16×C79—22no—
721SD16×C79—22no—
722SD16×C79—41no—
723SD16×C79—41no—
724D8×C79—22no—
725D8×C79—22no—
726D8×C79—41no—
727D8×C79—41no—
728M16×C79—41no—
729M16×C79—41no—
730C2×C8×C79C2411yescharacteristic
731C2×C8×C79C2411yescharacteristic
732C2×C8×C79C2411yescharacteristic
733C2×C8×C79C2411yescharacteristic
734C4⋊C4×C79—21no—
735C4⋊C4×C79C2411yescharacteristic
736C4⋊C4×C79C2411yescharacteristic
737C22⋊C4×C79—21no—
738C22⋊C4×C79—21no—
739C22⋊C4×C79—21no—
740C22⋊C4×C79—21no—
741C23×C79—21no—
742C23×C79—21no—
743C23×C79—21no—
744C23×C79—21no—
745C23×C79—41no—
746C23×C79—41no—
747C23×C79—41no—
748C23×C79—42no—
749C23×C79—42no—
750C23×C79—42no—
751C23×C79—81no—
752C23×C79—81no—
753C23×C79—81no—
754C23×C79C22×D411yescharacteristic
755C23×C79C22×D411yescharacteristic
756C23×C79C22×D411yescharacteristic
757C22×D79—22no—
758C22×D79—21no—
759C22×D79—21no—
760C22×D79—41no—
761C22×D79—41no—
762C22×D79—42no—
763C22×D79—42no—
764C22×D79—42no—
765C22×D79—81no—
766C22×D79—81no—
767C22×D79—81no—
768C22×D79C22×D411yescharacteristic
769C22×D79C22×D411yescharacteristic
770Q8×C79—21no—
771Q8×C79—21no—
772Q8×C79—21no—
773Q8×C79—42no—
774Q8×C79H(5,𝔽2)12yes—
775D4×C79—24no—
776D4×C79—21no—
777D4×C79—21no—
778D4×C79—21no—
779D4×C79—21no—
780D4×C79—21no—
781D4×C79—21no—
782D4×C79—21no—
783D4×C79—42no—
784D4×C79—42no—
785D4×C79—42no—
786D4×C79—42no—
787D4×C79—42no—
788D4×C79—42no—
789D4×C79—81no—
790D4×C79—81no—
791D4×C79—81no—
792D4×C79H(5,𝔽2)12yes—
793C2×C4×C79—24no—
794C2×C4×C79—21no—
795C2×C4×C79—21no—
796C2×C4×C79—21no—
797C2×C4×C79—21no—
798C2×C4×C79—21no—
799C2×C4×C79—21no—
800C2×C4×C79—21no—
801C2×C4×C79—21no—
802C2×C4×C79—21no—
803C2×C4×C79—21no—
804C2×C4×C79—41no—
805C2×C4×C79—41no—
806C2×C4×C79—41no—
807C2×C4×C79—42no—
808C2×C4×C79—42no—
809C2×C4×C79—42no—
810C2×C4×C79—42no—
811C2×C4×C79—81no—
812C2×C4×C79C22×D411yescharacteristic
813C2×C4×C79C22×D411yescharacteristic
814C2×C4×C79C22×D411yescharacteristic
815C2×C4×C79C2511yescharacteristic
816C22⋊D79—22no—
817C22⋊D79—22no—
818C22⋊D79—41no—
819C22⋊D79—41no—
820C22⋊D79—42no—
821C22⋊D79—42no—
822C22⋊D79—42no—
823C22⋊D79—42no—
824C22⋊D79—42no—
825C22⋊D79—42no—
826C22⋊D79—42no—
827C22⋊D79—42no—
828C22⋊D79—42no—
829C22⋊D79—42no—
830C22⋊D79—81no—
831C22⋊D79—81no—
832C22⋊D79—81no—
833C22⋊D79—81no—
834C22⋊D79—81no—
835C22⋊D79—81no—
836C22⋊D79—81no—
837C22⋊D79—81no—
838C2×Dic79—21no—
839C2×Dic79—21no—
840C2×Dic79—21no—
841C2×Dic79—21no—
842C2×Dic79—21no—
843C2×Dic79—21no—
844C2×Dic79—41no—
845C2×Dic79—41no—
846C2×Dic79—41no—
847C2×Dic79—42no—
848C2×Dic79—42no—
849C2×Dic79—42no—
850C2×Dic79—81no—
851C2×Dic79—81no—
852C2×Dic79—81no—
853C2×Dic79C22×D411yescharacteristic
854C2×Dic79C22×D411yescharacteristic
855C2×Dic79C22×D411yescharacteristic
856C2×Dic79C22×D411yescharacteristic
857C2×Dic79C22×D411yescharacteristic
858C2×Dic79C22×D411yescharacteristic
859D316—21no—
860D316—21no—
861D316—21no—
862D316—21no—
863D316—42no—
864D316—81no—
865C4×D79—21no—
866C4×D79—21no—
867C4×D79—21no—
868C4×D79—21no—
869C4×D79—41no—
870C4×D79—41no—
871C4×D79—42no—
872C4×D79—42no—
873C4×D79—42no—
874C4×D79—81no—
875C4×D79—81no—
876C4×D79—81no—
877Dic158—21no—
878Dic158—21no—
879Dic158—21no—
880Dic158—21no—
881Dic158—42no—
882Dic158—81no—
883C8×C79—21no—
884C8×C79—21no—
885C8×C79—21no—
886C8×C79—21no—
887C79⋊C8—21no—
888C79⋊C8—21no—
889C79⋊C8—21no—
890C79⋊C8—21no—
891C22×C79—21no—
892C22×C79—21no—
893C22×C79—21no—
894C22×C79—21no—
895C22×C79—22no—
896C22×C79—21no—
897C22×C79—21no—
898C22×C79—21no—
899C22×C79—21no—
900C22×C79—21no—
901C22×C79—41no—
902C22×C79—41no—
903C22×C79—41no—
904C22×C79—41no—
905C22×C79—41no—
906C22×C79—41no—
907C22×C79—41no—
908C22×C79—41no—
909C22×C79—41no—
910C22×C79—41no—
911C22×C79—41no—
912C22×C79—82no—
913C22×C79—84no—
914C22×C79—162no—
915C22×C79C23×D411yescharacteristic
916C2×D79—21no—
917C2×D79—21no—
918C2×D79—21no—
919C2×D79—21no—
920C2×D79—21no—
921C2×D79—41no—
922C2×D79—41no—
923C2×D79—41no—
924C2×D79—41no—
925C2×D79—41no—
926C2×D79—41no—
927C2×D79—82no—
928C2×D79—84no—
929C2×D79—162no—
930C2×D79#57512yes—
931C4×C79—21no—
932C4×C79—22no—
933C4×C79—21no—
934C4×C79—21no—
935C4×C79—41no—
936C4×C79—41no—
937C4×C79—41no—
938C4×C79C2×H(5,𝔽2)11yescharacteristic
939C4×C79C2×H(5,𝔽2)11yescharacteristic
940Dic79—21no—
941Dic79—21no—
942Dic79—21no—
943Dic79—21no—
944Dic79—21no—
945Dic79—21no—
946Dic79—41no—
947Dic79—41no—
948Dic79—41no—
949Dic79—41no—
950Dic79—41no—
951Dic79—41no—
952#61579—791nomaximal, Sylow
953C2×C79—41no—
954C2×C79—42no—
955C2×C79—41no—
956C2×C79—41no—
957C2×C79—81no—
958C2×C79—81no—
959C2×C79—81no—
960C2×C79#348411yescharacteristic
961C2×C79C2×#57511yescharacteristic
962C2×C79#358511yescharacteristic
963D79—22no—
964D79—41no—
965D79—81no—
966D79—81no—
967#3519—791no—
968D4×#41—791no—
969#3321—791no—
970#3320—791no—
971#3319—791no—
972#3318—791no—
973#3316—791no—
974#3314—791no—
975#3309—791no—
976#3307—791no—
977#3271—791no—
978#3268—791no—
979#3268—791no—
980#3267—791no—
981#3266—791no—
982#3265—791no—
983#3264—791no—
984#3264—791no—
985#3219—791no—
986#3214—791no—
987#3197—791no—
988#3194—791no—
989#3191—791no—
990#3188—791no—
991#3115—791no—
992#3111—791no—
993#3006D7911yescharacteristic, complemented
994#3005—791no—
995#3002—791no—
996C2×#449—791no—
997#2973—791no—
998C79#6157911yescharacteristic, complemented, Sylow
999C22×#41—791no—
1000C22×#41C2×D7911yescharacteristic, complemented
1001C2×#137—791no—
1002C2×AGL(1,ℤ/8)—791no—
1003C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
1004C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
1005C2×#135—791no—
1006C2×#135—791no—
1007C22×SD16—791no—
1008C22×D8—791no—
1009#555—791no—
1010#554—791no—
1011#553—791no—
1012#553—791no—
1013#553—1581no—
1014#550—791no—
1015#550—791no—
1016D4×Q8—791no—
1017#548—791no—
1018#548—791no—
1019#547—791no—
1020#547—1581no—
1021#546—791no—
1022#546—791no—
1023#546—791no—
1024#546—791no—
1025#546—1581no—
1026#546—1581no—
1027#546—1581no—
1028#546—1581no—
1029D42—791no—
1030D42—791no—
1031D42—1581no—
1032D42—1581no—
1033#540—1581no—
1034#538—1581no—
1035#538—1581no—
1036#532—791no—
1037#532—791no—
1038#532—1581no—
1039#529—791no—
1040#525—791no—
1041#525—791no—
1042#525—791no—
1043#525—791no—
1044#525—1581no—
1045#525—1581no—
1046C2×#121—791no—
1047C2×#121C2×D7911yescharacteristic, complemented
1048#518—1581no—
1049C4×#41—791no—
1050C2×C4×D4—791no—
1051C2×C4×D4—1581no—
1052#497—791no—
1053#496—791no—
1054#496—791no—
1055#496—791no—
1056#491—791no—
1057#490—791no—
1058#489—791no—
1059#489—791no—
1060#485—791no—
1061#485—791no—
1062#485—791no—
1063#484—791no—
1064#483—791no—
1065#482—791no—
1066#482—791no—
1067#482—791no—
1068#482—791no—
1069#482—791no—
1070#481—791no—
1071#480—791no—
1072#479—791no—
1073#478—791no—
1074#475—791no—
1075#474—791no—
1076#470—791no—
1077#469—791no—
1078#469—791no—
1079#469—791no—
1080#468—791no—
1081#468—791no—
1082#468—791no—
1083#468—791no—
1084#467—791no—
1085#466—791no—
1086#466—791no—
1087#466—791no—
1088#465—791no—
1089#465—791no—
1090#465—791no—
1091#465—791no—
1092#464—791no—
1093#464—791no—
1094#464—791no—
1095#463—791no—
1096#463—791no—
1097#463—791no—
1098#461—791no—
1099#461—791no—
1100#460—791no—
1101#459—791no—
1102#459—791no—
1103#459—791no—
1104#452—791no—
1105#452—791no—
1106#452—791no—
1107#452—791no—
1108#452—791no—
1109#452—791no—
1110#452—791no—
1111#451—791no—
1112#450—791no—
1113#450—791no—
1114#450—791no—
1115#449—791no—
1116#449—791no—
1117#449—791no—
1118#449—791no—
1119#449—791no—
1120#449—791no—
1121#449—791no—
1122#449—791no—
1123#449—791no—
1124#449—791no—
1125#449—791no—
1126#449—791no—
1127#449—791no—
1128#449C2×D7911yescharacteristic
1129#449C2×D7911yescharacteristic, complemented
1130#449C2×D7911yescharacteristic, complemented
1131#449C2×D7911yescharacteristic, complemented
1132#448—791no—
1133#448C2×D7911yescharacteristic, complemented
1134#448C2×D7911yescharacteristic, complemented
1135#447—791no—
1136#447—791no—
1137#447—791no—
1138#447C2×D7911yescharacteristic, complemented
1139#447C2×D7911yescharacteristic, complemented
1140#442—791no—
1141#442—791no—
1142#442—791no—
1143#441—791no—
1144#440—791no—
1145#440—791no—
1146#440—791no—
1147#440—791no—
1148#435—791no—
1149#435—791no—
1150#435—791no—
1151#435—791no—
1152#435—791no—
1153#435—791no—
1154#435—791no—
1155#435—791no—
1156#432—791no—
1157#432—791no—
1158#419—791no—
1159#418—791no—
1160#417C2×D7911yescharacteristic, complemented
1161#417C2×D7911yescharacteristic, complemented
1162#416—791no—
1163#416—791no—
1164C2×#103—791no—
1165C2×#102—791no—
1166#407—791no—
1167#407C2×D7911yescharacteristic, complemented
1168C2×C22⋊C8—791no—
1169C2×C22⋊C8—791no—
1170C2×#41—21no—
1171C2×#41—21no—
1172C2×#41—42no—
1173C2×#41—42no—
1174C2×#41—3162no—
1175C2×#41—3162no—
1176C2×#41—791no—
1177C2×#41—791no—
1178C2×#41—791no—
1179C2×#41—791no—
1180C2×#41—791no—
1181C2×#41—1581no—
1182C2×#41—1581no—
1183C2×#41—1581no—
1184C2×#41C22×D7911yescharacteristic
1185C2×#41C22×D7911yescharacteristic
1186C2×#41C22×D7911yescharacteristic
1187C2×#41C22×D7911yescharacteristic
1188C22×Q8—791no—
1189C22×Q8C22×D7911yescharacteristic
1190C22×D4—21no—
1191C22×D4—21no—
1192C22×D4—791no—
1193C22×D4—791no—
1194C22×D4—791no—
1195C22×D4—1581no—
1196C22×D4—1581no—
1197C22×D4—1581no—
1198C22×D4—1581no—
1199C22×D4C22×D7911yescharacteristic
1200C22×D4C22×D7911yescharacteristic
1201C23×C4—21no—
1202C23×C4—791no—
1203C23×C4—1581no—
1204C23×C4C22×D7911yescharacteristic
1205#137—3162no—
1206AGL(1,ℤ/8)—42no—
1207AGL(1,ℤ/8)—42no—
1208AGL(1,ℤ/8)—3162no—
1209#135—3162no—
1210#135—3162no—
1211C2×Q16—791no—
1212C2×Q16—791no—
1213C2×Q16—791no—
1214C2×SD16—3162no—
1215C2×SD16—791no—
1216C2×SD16—791no—
1217C2×SD16—791no—
1218C2×SD16—791no—
1219C2×SD16—791no—
1220C2×SD16—791no—
1221C2×SD16—791no—
1222C2×SD16—791no—
1223C2×SD16C22×D7911yescharacteristic
1224C2×SD16C22×D7911yescharacteristic
1225C2×SD16C22×D7911yescharacteristic
1226C2×SD16C22×D7911yescharacteristic
1227C2×D8—3162no—
1228C2×D8—791no—
1229C2×D8—791no—
1230C2×D8—791no—
1231C2×D8—791no—
1232C2×D8—791no—
1233C2×D8C22×D7911yescharacteristic
1234C2×D8C22×D7911yescharacteristic
1235C2×D8C22×D7911yescharacteristic
1236C2×D8C22×D7911yescharacteristic
1237C2×M16—791no—
1238C2×M16—791no—
1239C2×M16C22×D7911yescharacteristic
1240C2×M16C22×D7911yescharacteristic
1241C22×C8—791no—
1242C22×C8—791no—
1243C22×C8—791no—
1244C22×C8—791no—
1245C4⋊Q8—791no—
1246C4⋊Q8—791no—
1247C4⋊Q8—1581no—
1248#127—791no—
1249#127—791no—
1250#127—1581no—
1251#127—1581no—
1252#126—1581no—
1253#126—1581no—
1254#126—1581no—
1255#125—791no—
1256#125—1581no—
1257#124—791no—
1258#124—791no—
1259#124—791no—
1260#124—1581no—
1261#124—1581no—
1262#124—1581no—
1263#124—1581no—
1264#124—1581no—
1265#123—1581no—
1266#123—1581no—
1267#123—1581no—
1268#123—1581no—
1269#123—1581no—
1270#123—1581no—
1271#123—1581no—
1272#123—1581no—
1273#123—1581no—
1274#123—1581no—
1275#123—1581no—
1276#123—1581no—
1277#123—1581no—
1278C22⋊Q8—791no—
1279C22⋊Q8—791no—
1280C22⋊Q8—791no—
1281C22⋊Q8—791no—
1282C22⋊Q8—791no—
1283C22⋊Q8—791no—
1284C22⋊Q8—791no—
1285C22⋊Q8—1581no—
1286C22⋊Q8—1581no—
1287C22⋊Q8—1581no—
1288C22⋊Q8—1581no—
1289C22⋊Q8—1581no—
1290C22⋊Q8—1581no—
1291#121—21no—
1292#121—21no—
1293#121—791no—
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—1581no—
1303#121—1581no—
1304#121—1581no—
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#121C22×D7911yescharacteristic
1324#121C22×D7911yescharacteristic
1325#121C22×D7911yescharacteristic
1326#121C22×D7911yescharacteristic
1327#120—1581no—
1328#120—1581no—
1329#120—1581no—
1330#120—1581no—
1331#120—1581no—
1332#120—1581no—
1333#120—1581no—
1334#120—1581no—
1335#120—1581no—
1336#120—1581no—
1337#120—1581no—
1338#120—1581no—
1339C4×Q8—791no—
1340C4×Q8—791no—
1341C4×Q8—791no—
1342C4×D4—791no—
1343C4×D4—791no—
1344C4×D4—791no—
1345C4×D4—791no—
1346C4×D4—791no—
1347C4×D4—791no—
1348C4×D4—791no—
1349C4×D4—791no—
1350C4×D4—791no—
1351C4×D4—791no—
1352C4×D4—791no—
1353C4×D4—791no—
1354C4×D4—791no—
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—
1366C4×D4—1581no—
1367C4×D4—1581no—
1368C4×D4—1581no—
1369C4×D4—1581no—
1370C4×D4—1581no—
1371C4×D4—1581no—
1372C4×D4—1581no—
1373C4×D4—1581no—
1374C4×D4—1581no—
1375C4×D4—1581no—
1376C4×D4—1581no—
1377#117—791no—
1378#117—791no—
1379#117—791no—
1380#117—1581no—
1381#117—1581no—
1382#117—1581no—
1383C2×C4⋊C4—791no—
1384C2×C4⋊C4—791no—
1385C2×C4⋊C4—1581no—
1386C2×C4⋊C4C22×D7911yescharacteristic
1387C2×C22⋊C4—21no—
1388C2×C22⋊C4—791no—
1389C2×C22⋊C4—791no—
1390C2×C22⋊C4—1581no—
1391C2×C22⋊C4—1581no—
1392C2×C22⋊C4—1581no—
1393C2×C22⋊C4—1581no—
1394C2×C22⋊C4—1581no—
1395C2×C42—791no—
1396C2×C42—1581no—
1397#107—791no—
1398#107—791no—
1399#107—791no—
1400#107—791no—
1401#106—791no—
1402#106—791no—
1403#106—791no—
1404#106—791no—
1405C4⋊C8—791no—
1406C4⋊C8—791no—
1407C4⋊C8—791no—
1408C4⋊C8—791no—
1409#103—791no—
1410#103—791no—
1411#103—791no—
1412#103—791no—
1413#103—791no—
1414#103—791no—
1415#103—791no—
1416#103—791no—
1417#103—791no—
1418#103—791no—
1419#103C22×D7911yescharacteristic
1420#103C22×D7911yescharacteristic
1421#103C22×D7911yescharacteristic
1422#103C22×D7911yescharacteristic
1423#102—791no—
1424#102—791no—
1425#102—791no—
1426#102—791no—
1427#102—791no—
1428#102—791no—
1429#102—791no—
1430#102—791no—
1431#102—791no—
1432#102—791no—
1433#102—791no—
1434#102—791no—
1435#102—791no—
1436#102—791no—
1437#102C22×D7911yescharacteristic
1438#102C22×D7911yescharacteristic
1439#102C22×D7911yescharacteristic
1440#102C22×D7911yescharacteristic
1441C22⋊C8—791no—
1442C22⋊C8—791no—
1443C22⋊C8—791no—
1444C22⋊C8—791no—
1445C22⋊C8—791no—
1446C22⋊C8—791no—
1447C22⋊C8—791no—
1448C22⋊C8—791no—
1449C22⋊C8C22×D7911yescharacteristic
1450C22⋊C8C22×D7911yescharacteristic
1451C22⋊C8C22×D7911yescharacteristic
1452C22⋊C8C22×D7911yescharacteristic
1453#97—791no—
1454#97—791no—
1455#97—791no—
1456#97—791no—
1457C24—21no—
1458C24—21no—
1459C24—791no—
1460C24—1581no—
1461C24—1581no—
1462C24D4×D7911yescharacteristic
1463#41—22no—
1464#41—22no—
1465#41—22no—
1466#41—22no—
1467#41—41no—
1468#41—41no—
1469#41—41no—
1470#41—41no—
1471#41—44no—
1472#41—44no—
1473#41—3164no—
1474#41—3161no—
1475#41—3161no—
1476#41—3161no—
1477#41—3161no—
1478#41—3164no—
1479#41—3161no—
1480#41—3161no—
1481#41—3161no—
1482#41—3161no—
1483#41—6322no—
1484#41—1582no—
1485#41—1582no—
1486C2×Q8—21no—
1487C2×Q8—22no—
1488C2×Q8—41no—
1489C2×Q8—3161no—
1490C2×Q8—791no—
1491C2×Q8—791no—
1492C2×Q8—1581no—
1493C2×Q8—1581no—
1494C2×Q8—1582no—
1495C2×Q8C23×D7911yescharacteristic
1496C2×Q8C23×D7911yescharacteristic
1497C2×D4—21no—
1498C2×D4—22no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—44no—
1512C2×D4—82no—
1513C2×D4—3164no—
1514C2×D4—3164no—
1515C2×D4—3164no—
1516C2×D4—3162no—
1517C2×D4—3161no—
1518C2×D4—3161no—
1519C2×D4—3161no—
1520C2×D4—791no—
1521C2×D4—791no—
1522C2×D4—791no—
1523C2×D4—791no—
1524C2×D4—791no—
1525C2×D4—791no—
1526C2×D4—6322no—
1527C2×D4—1581no—
1528C2×D4—1581no—
1529C2×D4—1581no—
1530C2×D4—1581no—
1531C2×D4—1581no—
1532C2×D4—1581no—
1533C2×D4—1581no—
1534C2×D4—1581no—
1535C2×D4—1581no—
1536C2×D4—1581no—
1537C2×D4—1581no—
1538C2×D4—1581no—
1539C2×D4—1581no—
1540C2×D4—1581no—
1541C2×D4—1581no—
1542C2×D4—1582no—
1543C2×D4—1581no—
1544C2×D4—1581no—
1545C2×D4—1581no—
1546C2×D4—1581no—
1547C2×D4—1581no—
1548C2×D4C23×D7911yescharacteristic
1549C2×D4C23×D7911yescharacteristic
1550C2×D4C23×D7911yescharacteristic
1551C2×D4C23×D7911yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—41no—
1559C22×C4—41no—
1560C22×C4—44no—
1561C22×C4—3164no—
1562C22×C4—3161no—
1563C22×C4—3161no—
1564C22×C4—791no—
1565C22×C4—791no—
1566C22×C4—791no—
1567C22×C4—791no—
1568C22×C4—791no—
1569C22×C4—791no—
1570C22×C4—791no—
1571C22×C4—1581no—
1572C22×C4—1581no—
1573C22×C4—1581no—
1574C22×C4—1581no—
1575C22×C4—1581no—
1576C22×C4—1581no—
1577C22×C4—1581no—
1578C22×C4—1581no—
1579C22×C4—1581no—
1580C22×C4—1581no—
1581C22×C4—1581no—
1582C22×C4—1581no—
1583C22×C4D4×D7911yescharacteristic
1584C22×C4D4×D7911yescharacteristic
1585C22×C4D4×D7911yescharacteristic
1586C22×C4C23×D7911yescharacteristic
1587C22×C4C23×D7911yescharacteristic
1588C22×C4C23×D7911yescharacteristic
1589Q16—3161no—
1590Q16—3161no—
1591Q16—1582no—
1592SD16—22no—
1593SD16—22no—
1594SD16—41no—
1595SD16—41no—
1596SD16—3161no—
1597SD16—3161no—
1598SD16—3161no—
1599SD16—3161no—
1600SD16—3161no—
1601SD16—3161no—
1602SD16—1582no—
1603SD16—1582no—
1604D8—22no—
1605D8—22no—
1606D8—41no—
1607D8—41no—
1608D8—3161no—
1609D8—3161no—
1610D8—3161no—
1611D8—3161no—
1612D8—1582no—
1613M16—41no—
1614M16—41no—
1615M16—3161no—
1616M16—3161no—
1617C2×C8—3161no—
1618C2×C8—3161no—
1619C2×C8—3161no—
1620C2×C8—3161no—
1621C2×C8—791no—
1622C2×C8—791no—
1623C2×C8—791no—
1624C2×C8—791no—
1625C2×C8C23×D7911yescharacteristic
1626C2×C8C23×D7911yescharacteristic
1627C2×C8C23×D7911yescharacteristic
1628C2×C8C23×D7911yescharacteristic
1629C4⋊C4—21no—
1630C4⋊C4—791no—
1631C4⋊C4—791no—
1632C4⋊C4—791no—
1633C4⋊C4—791no—
1634C4⋊C4—791no—
1635C4⋊C4—791no—
1636C4⋊C4—791no—
1637C4⋊C4—791no—
1638C4⋊C4—1581no—
1639C4⋊C4—1581no—
1640C4⋊C4—1581no—
1641C4⋊C4—1581no—
1642C4⋊C4—1581no—
1643C4⋊C4—1581no—
1644C4⋊C4—1581no—
1645C4⋊C4—1581no—
1646C4⋊C4—1581no—
1647C4⋊C4—1581no—
1648C4⋊C4—1581no—
1649C4⋊C4—1581no—
1650C4⋊C4—1581no—
1651C4⋊C4—1581no—
1652C4⋊C4—1581no—
1653C4⋊C4—1581no—
1654C4⋊C4C23×D7911yescharacteristic
1655C4⋊C4C23×D7911yescharacteristic
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—791no—
1661C22⋊C4—791no—
1662C22⋊C4—791no—
1663C22⋊C4—791no—
1664C22⋊C4—791no—
1665C22⋊C4—791no—
1666C22⋊C4—791no—
1667C22⋊C4—791no—
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—
1680C22⋊C4—1581no—
1681C22⋊C4—1581no—
1682C22⋊C4—1581no—
1683C22⋊C4—1581no—
1684C22⋊C4—1581no—
1685C22⋊C4—1581no—
1686C22⋊C4—1581no—
1687C22⋊C4—1581no—
1688C22⋊C4—1581no—
1689C22⋊C4—1581no—
1690C22⋊C4—1581no—
1691C22⋊C4—1581no—
1692C22⋊C4—1581no—
1693C22⋊C4—1581no—
1694C22⋊C4—1581no—
1695C22⋊C4—1581no—
1696C22⋊C4—1581no—
1697C22⋊C4—1581no—
1698C42—791no—
1699C42—791no—
1700C42—791no—
1701C42—791no—
1702C42—1581no—
1703C42—1581no—
1704C42—1581no—
1705C42—1581no—
1706C42—1581no—
1707C42—1581no—
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—41no—
1713C23—41no—
1714C23—41no—
1715C23—42no—
1716C23—42no—
1717C23—42no—
1718C23—81no—
1719C23—81no—
1720C23—81no—
1721C23—3162no—
1722C23—3161no—
1723C23—3161no—
1724C23—3162no—
1725C23—3162no—
1726C23—791no—
1727C23—791no—
1728C23—6321no—
1729C23—6321no—
1730C23—6321no—
1731C23—1582no—
1732C23—1581no—
1733C23—1581no—
1734C23C2×D4×D7911yescharacteristic
1735C23C2×D4×D7911yescharacteristic
1736C23C2×D4×D7911yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—42no—
1741Q8—3162no—
1742Q8—6321no—
1743Q8—1581no—
1744Q8—1581no—
1745Q8—1581no—
1746Q8—1581no—
1747Q8#1457920612yes—
1748D4—24no—
1749D4—21no—
1750D4—21no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—42no—
1757D4—42no—
1758D4—42no—
1759D4—42no—
1760D4—42no—
1761D4—42no—
1762D4—81no—
1763D4—81no—
1764D4—81no—
1765D4—3162no—
1766D4—3162no—
1767D4—3162no—
1768D4—3162no—
1769D4—3162no—
1770D4—3162no—
1771D4—3162no—
1772D4—3162no—
1773D4—3162no—
1774D4—3161no—
1775D4—3161no—
1776D4—3162no—
1777D4—3162no—
1778D4—6321no—
1779D4—6321no—
1780D4—6321no—
1781D4—6321no—
1782D4—6321no—
1783D4—6321no—
1784D4—6321no—
1785D4—6321no—
1786D4—6321no—
1787D4—1582no—
1788D4—1582no—
1789D4—1581no—
1790D4—1581no—
1791D4—1581no—
1792D4—1581no—
1793D4#1457920612yes—
1794C2×C4—24no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—42no—
1809C2×C4—42no—
1810C2×C4—42no—
1811C2×C4—42no—
1812C2×C4—81no—
1813C2×C4—3162no—
1814C2×C4—3162no—
1815C2×C4—3162no—
1816C2×C4—3161no—
1817C2×C4—3161no—
1818C2×C4—3162no—
1819C2×C4—3162no—
1820C2×C4—3162no—
1821C2×C4—3161no—
1822C2×C4—3161no—
1823C2×C4—3161no—
1824C2×C4—791no—
1825C2×C4—791no—
1826C2×C4—791no—
1827C2×C4—791no—
1828C2×C4—791no—
1829C2×C4—791no—
1830C2×C4—6321no—
1831C2×C4—6321no—
1832C2×C4—6321no—
1833C2×C4—6321no—
1834C2×C4—6321no—
1835C2×C4—6321no—
1836C2×C4—1581no—
1837C2×C4—1581no—
1838C2×C4—1581no—
1839C2×C4—1581no—
1840C2×C4—1581no—
1841C2×C4—1581no—
1842C2×C4—1581no—
1843C2×C4—1581no—
1844C2×C4—1581no—
1845C2×C4—1581no—
1846C2×C4C2×D4×D7911yescharacteristic
1847C2×C4C2×D4×D7911yescharacteristic
1848C2×C4C2×D4×D7911yescharacteristic
1849C2×C4C24×D7911yescharacteristic
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—21no—
1854C8—1581no—
1855C8—1581no—
1856C8—1581no—
1857C8—1581no—
1858C22—21no—
1859C22—21no—
1860C22—22no—
1861C22—21no—
1862C22—21no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—82no—
1880C22—84no—
1881C22—162no—
1882C22—3161no—
1883C22—3161no—
1884C22—3161no—
1885C22—3161no—
1886C22—3161no—
1887C22—3161no—
1888C22—792no—
1889C22—6322no—
1890C22—6324no—
1891C22—1581no—
1892C22—1581no—
1893C22—1581no—
1894C22—1581no—
1895C22—1581no—
1896C22—12642no—
1897C22C22×D4×D7911yescharacteristic
1898C4—21no—
1899C4—22no—
1900C4—21no—
1901C4—21no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—3161no—
1906C4—3161no—
1907C4—3161no—
1908C4—3161no—
1909C4—3161no—
1910C4—3161no—
1911C4—1581no—
1912C4—1581no—
1913C4—1581no—
1914C4—1581no—
1915C4—1581no—
1916C4—1581no—
1917C4C2×#1457920611yescharacteristic
1918C4C2×#1457920611yescharacteristic
1919C2—41no—
1920C2—41no—
1921C2—41no—
1922C2—42no—
1923C2—81no—
1924C2—81no—
1925C2—81no—
1926C2—3161no—
1927C2—6321no—
1928C2—6321no—
1929C2—1582no—
1930C2#2377702911yescharacteristic
1931C2#575×D7911yescharacteristic
1932C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3006C2
socleC22×C79C23×D4
hypercenter#3006D79
hypocenterC79#61579
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3006

Complements

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

NH ≅ G/Ntype
1. #23777426C2semidirect
2. #41×C22⋊D79C2semidirect
3. #23775579C2semidirect
4. #23775564C2semidirect
5. #23775549C2semidirect
6. #23775534C2semidirect
7. #23775512C2semidirect
8. #23775482C2semidirect
9. #23775407C2semidirect
10. #23775377C2semidirect
11. #23774988C2semidirect
12. #23774938C2semidirect
13. #23774934C2semidirect
14. #23774919C2semidirect
15. #23774913C2semidirect
16. #23774889C2semidirect
17. #23774878C2semidirect
18. #23774874C2semidirect
19. #23774435C2semidirect
20. #23774392C2semidirect
21. #23774242C2semidirect
22. #23774214C2semidirect
23. #23774190C2semidirect
24. #23774163C2semidirect
25. #23773544C2semidirect
26. #23773502C2semidirect
27. #23772642C2semidirect
28. #23772615C2semidirect
29. #449×D79C2semidirect
30. #23772427C2semidirect
31. C79×#3006C2semidirect
32. C2×#41×D79C22semidirect
33. C2×#14579192C22semidirect
34. C2×#14579187C22semidirect
35. C2×#14579182C22semidirect
36. C2×#14579180C22semidirect
37. C2×SD16×D79C22semidirect
38. C2×D8×D79C22semidirect
39. #19099277C22semidirect
40. #19099268C22semidirect
41. #19099261C22semidirect
44. #19099232C22semidirect
45. #19099231C22semidirect
46. Q8×C22⋊D79C22semidirect
47. #19099224C22semidirect
50. #19099212C22semidirect
54. #19099207C22semidirect
55. #19099207C22semidirect
61. D4×C22⋊D79C22semidirect
62. D4×C22⋊D79C22semidirect
67. #19099109C22semidirect
68. #19099108C22semidirect
69. #19099094C22semidirect
71. #19099074C22semidirect
72. #19099074C22semidirect
73. #19099073C22semidirect
75. #19099070C22semidirect
76. #121×D79C22semidirect
78. #41×Dic79C22semidirect
81. #19098954C22semidirect
82. #19098951C22semidirect
83. #19098951C22semidirect
84. #19098949C22semidirect
85. #19098930C22semidirect
86. #19098926C22semidirect
87. #19098924C22semidirect
88. #19098921C22semidirect
89. #19098905C22semidirect
90. #19098905C22semidirect
91. #19098903C22semidirect
92. #19098897C22semidirect
93. #19098893C22semidirect
94. #19098888C22semidirect
95. #19098888C22semidirect
96. #19098886C22semidirect
97. #19098884C22semidirect
98. #19098884C22semidirect
99. #19098880C22semidirect
100. #19098876C22semidirect
101. #19098868C22semidirect
102. #19098861C22semidirect
103. #19098846C22semidirect
104. #19098841C22semidirect
105. #19098821C22semidirect
106. #19098816C22semidirect
107. #19098814C22semidirect
108. #19098814C22semidirect
109. #19098809C22semidirect
110. #19098809C22semidirect
111. #19098807C22semidirect
112. #19098807C22semidirect
113. #19098803C22semidirect
114. #19098798C22semidirect
115. #19098796C22semidirect
116. #19098796C22semidirect
117. #19098795C22semidirect
118. #19098791C22semidirect
119. #19098789C22semidirect
120. #19098789C22semidirect
121. #19098788C22semidirect
122. #19098784C22semidirect
123. #19098783C22semidirect
124. #19098780C22semidirect
125. #19098776C22semidirect
126. #19098776C22semidirect
127. #19098767C22semidirect
128. #19098766C22semidirect
129. #19098761C22semidirect
130. #19098757C22semidirect
131. #19098756C22semidirect
132. #19098756C22semidirect
133. #19098727C22semidirect
134. #19098727C22semidirect
135. #19098725C22semidirect
136. #19098725C22semidirect
137. #19098725C22semidirect
138. #19098725C22semidirect
139. #19098722C22semidirect
140. #19098720C22semidirect
141. #19098715C22semidirect
142. #19098714C22semidirect
143. #19098712C22semidirect
144. #19098711C22semidirect
145. #19098710C22semidirect
146. #19098710C22semidirect
147. #19098709C22semidirect
148. #19098708C22semidirect
149. #19098708C22semidirect
150. #19098708C22semidirect
151. #19098708C22semidirect
152. #19098707C22semidirect
153. #19098706C22semidirect
154. #19098706C22semidirect
155. #19098705C22semidirect
156. #19098705C22semidirect
157. #19098700C22semidirect
158. #19098697C22semidirect
159. #19098695C22semidirect
160. #19098695C22semidirect
161. #19098675C22semidirect
162. #19098675C22semidirect
163. #19098672C22semidirect
164. #19098667C22semidirect
165. #19098666C22semidirect
166. #19098664C22semidirect
167. #19098664C22semidirect
168. #19098660C22semidirect
169. #19098637C22semidirect
170. #19098637C22semidirect
171. #19098637C22semidirect
172. #19098637C22semidirect
173. #19098632C22semidirect
174. #19098632C22semidirect
175. #19098632C22semidirect
176. #19098632C22semidirect
177. #19098617C22semidirect
178. #19098617C22semidirect
179. #19098572C22semidirect
180. #19098568C22semidirect
181. #19098558C22semidirect
182. #19098556C22semidirect
183. #103×D79C22semidirect
184. #102×D79C22semidirect
185. #19098527C22semidirect
186. C22⋊C8×D79C22semidirect
187. C22⋊C8×D79C22semidirect
188. C22×#41×C79C22semidirect
189. C2×AGL(1,ℤ/8)×C79C22semidirect
190. C2×AGL(1,ℤ/8)×C79C22semidirect
191. C2×#121×C79C22semidirect
193. #449×C79C22semidirect
194. #449×C79C22semidirect
195. #449×C79C22semidirect
196. #448×C79C22semidirect
197. #448×C79C22semidirect
198. #447×C79C22semidirect
199. #447×C79C22semidirect
200. #417×C79C22semidirect
201. #417×C79C22semidirect
202. #407×C79C22semidirect
993. #3006D79semidirect
998. C79#61579semidirect
1000. C22×#41C2×D79semidirect
1003. C2×AGL(1,ℤ/8)C2×D79semidirect
1004. C2×AGL(1,ℤ/8)C2×D79semidirect
1047. C2×#121C2×D79semidirect
1129. #449C2×D79semidirect
1130. #449C2×D79semidirect
1131. #449C2×D79semidirect
1133. #448C2×D79semidirect
1134. #448C2×D79semidirect
1138. #447C2×D79semidirect
1139. #447C2×D79semidirect
1160. #417C2×D79semidirect
1161. #417C2×D79semidirect
1167. #407C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774262
#41×C22⋊D792
#237755792
#237755642
#237755492
#237755342
#237755122
#237754822
#237754072
#237753772
#237749882
#237749382
#237749342
#237749192
#237749132
#237748892
#237748782
#237748742
#237744352
#237743922
#237742422
#237742142
#237741902
#237741632
#237735442
#237735022
#237726422
#237726152
#449×D792
#237724272
C79×#30062
#6157979