Finite Group Databasebeta

← #35156934

Subgroups — #35156934

Order 20224.

2080 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23776831C211yesmaximal, characteristic, complemented
2C4×#14579207C211yesmaximal, characteristic, complemented
3#23773669C211yesmaximal, characteristic, complemented
4#23773663C211yesmaximal, characteristic, complemented
5#23773650C211yesmaximal, characteristic, complemented
6#23773648C211yesmaximal, characteristic, complemented
7#23773613C211yesmaximal, characteristic, complemented
8#23773607C211yesmaximal, characteristic, complemented
9#23773589C211yesmaximal, characteristic, complemented
10#23773587C211yesmaximal, characteristic, complemented
11#23773560C211yesmaximal, characteristic, complemented
12#23773542C211yesmaximal, characteristic, complemented
13#23773540C211yesmaximal, characteristic, complemented
14#23773515C211yesmaximal, characteristic, complemented
15#23773509C211yesmaximal, characteristic, complemented
16#23773497C211yesmaximal, characteristic, complemented
17#23773495C211yesmaximal, characteristic, complemented
18#23773381C211yesmaximal, characteristic, complemented
19#23773366C211yesmaximal, characteristic, complemented
20#23773248C211yesmaximal, characteristic, complemented
21#23773226C211yesmaximal, characteristic, complemented
22#23772947C211yesmaximal, characteristic, complemented
23#23772907C211yesmaximal, characteristic, complemented
24#23772708C211yesmaximal, characteristic
25#23772674C211yesmaximal, characteristic, complemented
26#23772216C211yesmaximal, characteristic, complemented
27#23772205C211yesmaximal, characteristic, complemented
28#23772199C211yesmaximal, characteristic, complemented
29#440×D79C211yesmaximal, characteristic, complemented
30#23772046C211yesmaximal, characteristic, complemented
31C79×#3116C211yesmaximal, characteristic, complemented
32C2×#14579207C2211yescharacteristic
33C2×#14579193C2211yescharacteristic
34C2×#14579188C2211yescharacteristic
35C2×#14579184C2211yescharacteristic
36C2×SD16×D79C2211yescharacteristic
37#19099190C2211yescharacteristic, complemented
38#19099187C2211yescharacteristic, complemented
39#19099186C2211yescharacteristic, complemented
40#19099183—21no—
41#19099174C2211yescharacteristic, complemented
42#19099173C2211yescharacteristic, complemented
43#19099172—21no—
44#19099161—21no—
45#19099159—21no—
46#19099143C2211yescharacteristic
47#19099138C2211yescharacteristic, complemented
48#19099136C2211yescharacteristic
49#19099117—21no—
50#19099117C2211yescharacteristic, complemented
51#19099100—21no—
52#19099100C2211yescharacteristic, complemented
53#19099097C2211yescharacteristic, complemented
54#19099091—21no—
55#19099091—21no—
56#19099046C2211yescharacteristic
57#19099045C2211yescharacteristic
58#19099045C2211yescharacteristic
59#19099043—21no—
60#19099043C2211yescharacteristic
61#19099037—21no—
62#19099037C2211yescharacteristic
63#19099035—21no—
64#19099035—21no—
65#19099035C2211yescharacteristic
66#19099035C2211yescharacteristic
67C4×#11929625C2211yescharacteristic
68C4×#11929625C2211yescharacteristic
69C4×#11929625C2211yescharacteristic, complemented
70C4×#11929624—21no—
71C4×#11929624C2211yescharacteristic
72C4×Q8×D79C2211yescharacteristic, complemented
73C2×C4×D316—21no—
74C2×C4×D316C2211yescharacteristic
75C4×D4×D79—21no—
76C4×D4×D79—21no—
77C4×D4×D79C2211yescharacteristic
78C4×D4×D79C2211yescharacteristic
79#19098907C2211yescharacteristic, complemented
80#19098904C2211yescharacteristic, complemented
81#19098903C2211yescharacteristic, complemented
82#19098902C2211yescharacteristic, complemented
83#19098900C2211yescharacteristic, complemented
84#19098897C2211yescharacteristic, complemented
85#19098896C2211yescharacteristic, complemented
86#19098896C2211yescharacteristic, complemented
87#19098894C2211yescharacteristic, complemented
88#19098892C2211yescharacteristic, complemented
89#19098889C2211yescharacteristic, complemented
90#19098887C2211yescharacteristic, complemented
91#19098878C2211yescharacteristic, complemented
92#19098877C2211yescharacteristic, complemented
93#19098870C2211yescharacteristic, complemented
94#19098868C2211yescharacteristic, complemented
95#19098866C2211yescharacteristic, complemented
96#19098865C2211yescharacteristic, complemented
97#19098864C2211yescharacteristic, complemented
98#19098864C2211yescharacteristic, complemented
99#19098863C2211yescharacteristic, complemented
100#19098862C2211yescharacteristic, complemented
101#19098856C2211yescharacteristic, complemented
102#19098852C2211yescharacteristic, complemented
103#19098842C2211yescharacteristic, complemented
104#19098841C2211yescharacteristic, complemented
105#19098840C2211yescharacteristic, complemented
106#19098840C2211yescharacteristic, complemented
107#19098787C2211yescharacteristic, complemented
108#19098785C2211yescharacteristic, complemented
109#19098781C2211yescharacteristic, complemented
110#19098781C2211yescharacteristic, complemented
111#19098780C2211yescharacteristic, complemented
112#19098779C2211yescharacteristic, complemented
113#19098779C2211yescharacteristic, complemented
114#19098778C2211yescharacteristic, complemented
115#19098771C2211yescharacteristic, complemented
116#19098767C2211yescharacteristic, complemented
117#19098767C2211yescharacteristic, complemented
118#19098766C2211yescharacteristic, complemented
119#19098765C2211yescharacteristic, complemented
120#19098765C2211yescharacteristic, complemented
121#19098728C2211yescharacteristic
122#19098725C2211yescharacteristic
123#19098724C2211yescharacteristic
124#19098724C2211yescharacteristic
125#19098716C2211yescharacteristic
126#19098715C2211yescharacteristic
127#19098713C2211yescharacteristic
128#19098713C2211yescharacteristic
129#19098712C2211yescharacteristic
130#19098712C2211yescharacteristic
131#19098711C2211yescharacteristic
132#19098708C2211yescharacteristic
133#19098699C2211yescharacteristic
134#19098698C2211yescharacteristic
135#19098676C2211yescharacteristic, complemented
136#19098676C2211yescharacteristic, complemented
137#19098674C2211yescharacteristic, complemented
138#19098673C2211yescharacteristic, complemented
139#19098670C2211yescharacteristic, complemented
140#19098668C2211yescharacteristic, complemented
141#19098666C2211yescharacteristic, complemented
142#19098666C2211yescharacteristic, complemented
143#19098666C2211yescharacteristic, complemented
144#19098665C2211yescharacteristic, complemented
145#19098665C2211yescharacteristic, complemented
146#19098664C2211yescharacteristic, complemented
147#19098663C2211yescharacteristic, complemented
148#19098662C2211yescharacteristic, complemented
149#19098661C2211yescharacteristic, complemented
150#19098661C2211yescharacteristic, complemented
151#19098661C2211yescharacteristic, complemented
152#19098661C2211yescharacteristic, complemented
153#19098661C2211yescharacteristic, complemented
154#19098660C2211yescharacteristic, complemented
155Q16×Dic79C2211yescharacteristic, complemented
156#19098655C2211yescharacteristic, complemented
157SD16×Dic79C2211yescharacteristic, complemented
158#19098650C2211yescharacteristic, complemented
159#19098648C2211yescharacteristic, complemented
160#19098648C2211yescharacteristic, complemented
161#19098645C2211yescharacteristic, complemented
162#19098643C2211yescharacteristic, complemented
163#19098623C2211yescharacteristic, complemented
164#19098623C2211yescharacteristic, complemented
165#19098621C2211yescharacteristic, complemented
166#19098621C2211yescharacteristic, complemented
167#19098620C2211yescharacteristic, complemented
168#19098618C2211yescharacteristic, complemented
169#19098618C2211yescharacteristic, complemented
170#19098604C2211yescharacteristic, complemented
171#19098602C2211yescharacteristic, complemented
172#19098598C2211yescharacteristic, complemented
173#107×D79C2211yescharacteristic, complemented
174#19098588C2211yescharacteristic, complemented
175#19098588C2211yescharacteristic, complemented
176#19098570C2211yescharacteristic, complemented
177#19098566C2211yescharacteristic
178#19098563C2211yescharacteristic
179#19098563C2211yescharacteristic, complemented
180#19098558C2211yescharacteristic
181#19098558C2211yescharacteristic, complemented
182#103×D79C2211yescharacteristic, complemented
183#102×D79C2211yescharacteristic
184#19098528C2211yescharacteristic
185#19098528C2211yescharacteristic
186#19098515C2211yescharacteristic, complemented
187#97×D79C2211yescharacteristic, complemented
188#533×C79C2211yescharacteristic, complemented
189C4×#41×C79C2211yescharacteristic
190#485×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#477×C79C2211yescharacteristic, complemented
193#476×C79C2211yescharacteristic, complemented
194#462×C79C2211yescharacteristic, complemented
195#461×C79C2211yescharacteristic, complemented
196#452×C79C2211yescharacteristic
197#452×C79C2211yescharacteristic
198#441×C79C2211yescharacteristic, complemented
199#441×C79C2211yescharacteristic, complemented
200#440×C79C2211yescharacteristic, complemented
201#440×C79C2211yescharacteristic, complemented
202#432×C79C2211yescharacteristic, complemented
203#14579207—24no—
204#14579207—24no—
205C2×#11929625C2311yescharacteristic
206C2×#11929625C2311yescharacteristic
207C2×#11929625C2311yescharacteristic
208C2×#11929624—21no—
209C2×#11929624C2311yescharacteristic
210C2×Q8×D79C2311yescharacteristic
211C22×D316—21no—
212C22×D316C2311yescharacteristic
213C2×D4×D79—21no—
214C2×D4×D79—21no—
215C2×D4×D79C2311yescharacteristic
216C2×D4×D79C2311yescharacteristic
217C22×C4×D79—21no—
218C22×C4×D79—21no—
219C22×C4×D79—21no—
220#14579193—24no—
221#14579188—24no—
222#14579184—24no—
223C2×#11929614C2311yescharacteristic
224C2×#11929613C2311yescharacteristic
225C2×#11929613C2311yescharacteristic
226C2×#11929612C2311yescharacteristic
227C2×#11929611C2311yescharacteristic
228C2×#11929611C2311yescharacteristic
229C2×#11929611C2311yescharacteristic
230C2×#11929611C2311yescharacteristic
231C2×#11929611C2311yescharacteristic
232SD16×D79—24no—
233C2×D632C2311yescharacteristic
234C2×D632C2311yescharacteristic
235C2×#11929609C2311yescharacteristic
236C2×#11929607C2311yescharacteristic
237C2×#11929607C2311yescharacteristic
238C2×C8×D79C2311yescharacteristic
239C2×C8×D79C2311yescharacteristic
240#14579160—21no—
241#14579160C2311yescharacteristic
242#14579159—21no—
243#14579159C2311yescharacteristic
244#14579156—21no—
245#14579156—21no—
246#14579156—21no—
247#14579156—21no—
248#14579156—21no—
249#14579155—21no—
250#14579154—21no—
251#14579154—21no—
252#14579153C2311yescharacteristic
253#14579152—21no—
254#14579152C2311yescharacteristic
255#14579151—21no—
256#14579151—21no—
257#14579151—21no—
258#14579151—21no—
259#14579151—21no—
260#14579150—21no—
261#14579150C2311yescharacteristic
262#14579149C2311yescharacteristic
263#14579147—21no—
264#14579147—21no—
265#14579146—21no—
266#14579146—21no—
267#14579146—21no—
268#14579146—21no—
269#14579146—21no—
270#14579144—21no—
271#14579143—21no—
272#14579143—21no—
273#14579141—21no—
274#14579141C2311yescharacteristic
275#14579140C2311yescharacteristic
276#14579139—21no—
277#14579139—21no—
278#14579139—21no—
279#14579139—21no—
280#14579139—21no—
281#14579137—21no—
282#14579137—21no—
283#14579137C2311yescharacteristic
284#14579137C2311yescharacteristic
285#14579136—21no—
286#14579136C2311yescharacteristic
287#14579135C2311yescharacteristic
288#14579134—21no—
289#14579134—21no—
290Q8×Dic79C2311yescharacteristic
291Q8×Dic79C2311yescharacteristic
292Q8×Dic79C2311yescharacteristic
293Q8×Dic79C2311yescharacteristic
294C4×Dic158—21no—
295C4×Dic158—21no—
296C4×Dic158—21no—
297C4×Dic158D411yescharacteristic
298C4×Dic158D411yescharacteristic
299C4×Dic158C2311yescharacteristic
300#14579126—21no—
301#14579126C2311yescharacteristic
302C4×D316—21no—
303C4×D316—21no—
304C4×D316—21no—
305C4×D316—21no—
306C4×D316—21no—
307C4×D316—21no—
308C4×D316—21no—
309C4×D316—21no—
310C4×D316—21no—
311C4×D316—21no—
312C4×D316—21no—
313C4×D316D411yescharacteristic
314C4×D316D411yescharacteristic
315C4×D316C2311yescharacteristic
316C4×D316C2311yescharacteristic
317C4×D316C2311yescharacteristic
318C4×D316C2311yescharacteristic
319C4×D316C2311yescharacteristic
320D4×Dic79—21no—
321D4×Dic79—21no—
322D4×Dic79C2311yescharacteristic
323D4×Dic79C2311yescharacteristic
324#14579123—21no—
325#14579123—21no—
326#14579123—21no—
327#14579123—21no—
328#14579123—21no—
329#14579123C2311yescharacteristic
330#14579123C2311yescharacteristic
331#14579123C2311yescharacteristic
332#14579123C2311yescharacteristic
333#14579123C2311yescharacteristic
334C4×C22⋊D79—21no—
335C4×C22⋊D79—21no—
336C4×C22⋊D79—21no—
337C4×C22⋊D79—21no—
338C4×C22⋊D79—21no—
339C4×C22⋊D79D411yescharacteristic
340C4×C22⋊D79D411yescharacteristic
341C4×C22⋊D79D411yescharacteristic
342C4×C22⋊D79D411yescharacteristic
343(C22⋊D79)⋊C4—21no—
344(C22⋊D79)⋊C4—21no—
345(C22⋊D79)⋊C4—21no—
346(C22⋊D79)⋊C4—21no—
347(C22⋊D79)⋊C4—21no—
348(C22⋊D79)⋊C4—21no—
349#14579120—21no—
350#14579120C2311yescharacteristic
351#14579119—21no—
352#14579119—21no—
353#14579119—21no—
354#14579119C2311yescharacteristic
355#14579119C2311yescharacteristic
356#14579119C2311yescharacteristic
357#14579118—21no—
358#14579118—21no—
359#14579118—21no—
360#14579118—21no—
361#14579118—21no—
362#14579118C2311yescharacteristic
363#14579118C2311yescharacteristic
364C2×C4⋊Dic79—21no—
365C2×C4⋊Dic79C2311yescharacteristic
366C4⋊C4×D79—21no—
367C4⋊C4×D79—21no—
368C4⋊C4×D79—21no—
369C4⋊C4×D79C2311yescharacteristic
370C4⋊C4×D79C2311yescharacteristic
371C4⋊C4×D79C2311yescharacteristic
372C2×(C2×D79)⋊C4—21no—
373C2×(C2×D79)⋊C4—21no—
374C2×(C2×D79)⋊C4—21no—
375C22⋊C4×D79—21no—
376C22⋊C4×D79—21no—
377C22⋊C4×D79—21no—
378C22⋊C4×D79—21no—
379C22⋊C4×D79—21no—
380C22⋊C4×D79—21no—
381C42×D79—21no—
382C42×D79—21no—
383C42×D79—21no—
384C42×D79—21no—
385C42×D79C2311yescharacteristic
386C42×D79C2311yescharacteristic
387#14579095C2311yescharacteristic
388#14579095C2311yescharacteristic
389#14579094C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579094C2311yescharacteristic
393#14579094C2311yescharacteristic
394#14579094C2311yescharacteristic
395#14579093C2311yescharacteristic
396#14579093C2311yescharacteristic
397#14579092C2311yescharacteristic
398#14579092C2311yescharacteristic
399C4⋊(C79⋊C8)C2311yescharacteristic
400C4⋊(C79⋊C8)C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579084C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429C22⋊(C79⋊C8)C2311yescharacteristic
430C22⋊(C79⋊C8)C2311yescharacteristic
431(C2×D79)⋊C8C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435#14579072C2311yescharacteristic
436#14579072C2311yescharacteristic
437#14579071C2311yescharacteristic
438#14579071C2311yescharacteristic
439C8×Dic79C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C2×#41×C79C2311yescharacteristic
442C2×Q16×C79C2311yescharacteristic
443C2×Q16×C79C2311yescharacteristic
444C2×SD16×C79C2311yescharacteristic
445C2×SD16×C79C2311yescharacteristic
446C4⋊Q8×C79C2311yescharacteristic
447C4⋊Q8×C79C2311yescharacteristic
448#125×C79—21no—
449C22⋊Q8×C79—21no—
450C22⋊Q8×C79C2311yescharacteristic
451C22⋊Q8×C79C2311yescharacteristic
452C4×Q8×C79—21no—
453C4×Q8×C79C2311yescharacteristic
454C4×Q8×C79C2311yescharacteristic
455C4×Q8×C79C2311yescharacteristic
456C4×Q8×C79C2311yescharacteristic
457C4×D4×C79—21no—
458C4×D4×C79—21no—
459C4×D4×C79C2311yescharacteristic
460C4×D4×C79C2311yescharacteristic
461#117×C79—21no—
462#117×C79—21no—
463#117×C79C2311yescharacteristic
464C2×C42×C79—21no—
465C2×C42×C79C2311yescharacteristic
466#107×C79C2311yescharacteristic
467#107×C79C2311yescharacteristic
468#106×C79C2311yescharacteristic
469#106×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471C4⋊C8×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474#103×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480C22⋊C8×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482#97×C79C2311yescharacteristic
483#97×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486C23×D79—21no—
487#11929625—22no—
488#11929625—22no—
489#11929625—22no—
490#11929625—22no—
491#11929625—22no—
492#11929625#4114yes—
493#11929624—28no—
494#11929624—22no—
495#11929624—22no—
496C2×Dic158—21no—
497C2×Dic158—21no—
498C2×Dic158C2×D411yescharacteristic
499C2×Dic158C2411yescharacteristic
500Q8×D79—22no—
501Q8×D79—22no—
502C2×D316—28no—
503C2×D316—22no—
504C2×D316—22no—
505C2×D316—21no—
506C2×D316—21no—
507C2×D316—21no—
508C2×D316—21no—
509C2×D316—21no—
510C2×D316C2×D411yescharacteristic
511C2×D316C2411yescharacteristic
512C2×D316C2411yescharacteristic
513C2×D316C2411yescharacteristic
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—21no—
517C2×C22⋊D79C2×D411yescharacteristic
518C2×C22⋊D79C2×D411yescharacteristic
519D4×D79—28no—
520D4×D79—28no—
521D4×D79—22no—
522D4×D79—22no—
523D4×D79—22no—
524D4×D79#4114yes—
525C22×Dic79—21no—
526C22×Dic79—21no—
527C22×Dic79—21no—
528C2×C4×D79—21no—
529C2×C4×D79—21no—
530C2×C4×D79—21no—
531C2×C4×D79—21no—
532C2×C4×D79—21no—
533C2×C4×D79—21no—
534C2×C4×D79—21no—
535C2×C4×D79—21no—
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79—21no—
539C2×C4×D79—21no—
540C2×C4×D79—21no—
541C2×C4×D79—21no—
542C2×C4×D79—21no—
543C2×C4×D79—21no—
544C2×C4×D79—21no—
545C2×C4×D79—82no—
546C2×C4×D79—82no—
547C2×C4×D79—82no—
548C2×C4×D79C2×D411yescharacteristic
549C2×C4×D79C2×D411yescharacteristic
550C2×C4×D79C2×D411yescharacteristic
551C2×C4×D79C2×D411yescharacteristic
552C2×C4×D79C2411yescharacteristic
553C2×C4×D79C2411yescharacteristic
554#11929614—22no—
555#11929613—22no—
556#11929613—22no—
557#11929612—22no—
558#11929611—22no—
559#11929611—22no—
560#11929611—22no—
561#11929611—22no—
562#11929611—22no—
563D632—22no—
564D632—22no—
565#11929609—22no—
566#11929607—22no—
567#11929607—22no—
568C2×C79⋊C8C2411yescharacteristic
569C2×C79⋊C8C2411yescharacteristic
570C2×C79⋊C8C2411yescharacteristic
571C2×C79⋊C8C2411yescharacteristic
572C8×D79—22no—
573C8×D79—22no—
574C4⋊Dic79—21no—
575C4⋊Dic79—21no—
576C4⋊Dic79—21no—
577C4⋊Dic79—21no—
578C4⋊Dic79—21no—
579C4⋊Dic79—21no—
580C4⋊Dic79—21no—
581C4⋊Dic79C2×D411yescharacteristic
582C4⋊Dic79C2×D411yescharacteristic
583C4⋊Dic79C2411yescharacteristic
584C4⋊Dic79C2411yescharacteristic
585C4⋊Dic79C2411yescharacteristic
586C4⋊Dic79C2411yescharacteristic
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4—21no—
595Dic79⋊C4—21no—
596Dic79⋊C4—21no—
597Dic79⋊C4—21no—
598Dic79⋊C4—21no—
599Dic79⋊C4—21no—
600Dic79⋊C4—21no—
601Dic79⋊C4C2×D411yescharacteristic
602Dic79⋊C4C2×D411yescharacteristic
603Dic79⋊C4C2×D411yescharacteristic
604Dic79⋊C4C2×D411yescharacteristic
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79C2×D411yescharacteristic
609C22⋊Dic79C2×D411yescharacteristic
610(C2×D79)⋊C4—21no—
611(C2×D79)⋊C4—21no—
612(C2×D79)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4—21no—
630(C2×D79)⋊C4—21no—
631(C2×D79)⋊C4—21no—
632(C2×D79)⋊C4C2×D411yescharacteristic
633(C2×D79)⋊C4C2×D411yescharacteristic
634(C2×D79)⋊C4C2×D411yescharacteristic
635(C2×D79)⋊C4C2×D411yescharacteristic
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79—21no—
641C4×Dic79—21no—
642C4×Dic79—21no—
643C4×Dic79—21no—
644C4×Dic79—21no—
645C4×Dic79C2×D411yescharacteristic
646C4×Dic79C2×D411yescharacteristic
647C4×Dic79C2×D411yescharacteristic
648C4×Dic79C2×D411yescharacteristic
649C4×Dic79C2411yescharacteristic
650C4×Dic79C2411yescharacteristic
651#41×C79—22no—
652#41×C79—22no—
653C2×Q8×C79—21no—
654C2×Q8×C79C2411yescharacteristic
655C2×Q8×C79C2411yescharacteristic
656C2×Q8×C79C2411yescharacteristic
657C2×D4×C79—21no—
658C2×D4×C79C2411yescharacteristic
659C22×C4×C79—21no—
660C22×C4×C79—21no—
661C22×C4×C79—21no—
662C22×C4×C79C2×D411yescharacteristic
663C22×C4×C79C2×D411yescharacteristic
664C22×C4×C79C2411yescharacteristic
665Q16×C79—22no—
666Q16×C79—22no—
667SD16×C79—22no—
668SD16×C79—22no—
669C2×C8×C79C2411yescharacteristic
670C2×C8×C79C2411yescharacteristic
671C2×C8×C79C2411yescharacteristic
672C2×C8×C79C2411yescharacteristic
673C4⋊C4×C79—21no—
674C4⋊C4×C79—21no—
675C4⋊C4×C79—21no—
676C4⋊C4×C79—21no—
677C4⋊C4×C79—21no—
678C4⋊C4×C79—21no—
679C4⋊C4×C79—21no—
680C4⋊C4×C79—21no—
681C4⋊C4×C79—21no—
682C4⋊C4×C79C2411yescharacteristic
683C4⋊C4×C79C2411yescharacteristic
684C4⋊C4×C79C2411yescharacteristic
685C4⋊C4×C79C2411yescharacteristic
686C22⋊C4×C79—21no—
687C22⋊C4×C79—21no—
688C22⋊C4×C79—21no—
689C22⋊C4×C79—21no—
690C22⋊C4×C79—21no—
691C42×C79—21no—
692C42×C79—21no—
693C42×C79—21no—
694C42×C79—21no—
695C42×C79—21no—
696C42×C79C2×D411yescharacteristic
697C42×C79C2×D411yescharacteristic
698C42×C79C2411yescharacteristic
699C42×C79C2411yescharacteristic
700C23×C79—21no—
701C23×C79C22×D411yescharacteristic
702C22×D79—21no—
703C22×D79—21no—
704C22×D79—24no—
705C22×D79—24no—
706C22×D79—24no—
707C22×D79—21no—
708C22×D79—81no—
709C22×D79—81no—
710C22×D79—81no—
711C22×D79—81no—
712C22×D79—81no—
713C22×D79—81no—
714C22×D79C22×D411yescharacteristic
715C22×D79C22×D411yescharacteristic
716Q8×C79—21no—
717Q8×C79—21no—
718Q8×C79—21no—
719Q8×C79—21no—
720Q8×C79—21no—
721Q8×C79—81no—
722Q8×C79C2×#4112yes—
723D4×C79—24no—
724D4×C79—21no—
725D4×C79C2×#4112yes—
726C2×C4×C79—24no—
727C2×C4×C79—21no—
728C2×C4×C79—21no—
729C2×C4×C79—21no—
730C2×C4×C79—21no—
731C2×C4×C79—21no—
732C2×C4×C79—21no—
733C2×C4×C79—21no—
734C2×C4×C79—21no—
735C2×C4×C79—21no—
736C2×C4×C79—41no—
737C2×C4×C79—41no—
738C2×C4×C79—42no—
739C2×C4×C79—81no—
740C2×C4×C79C22×D411yescharacteristic
741C2×C4×C79C22×D411yescharacteristic
742C2×C4×C79C22×D411yescharacteristic
743C2×C4×C79C22×D411yescharacteristic
744C2×C4×C79C22×D411yescharacteristic
745C2×C4×C79C2511yescharacteristic
746C22⋊D79—24no—
747C22⋊D79—22no—
748C22⋊D79—22no—
749C22⋊D79—24no—
750C22⋊D79—81no—
751C2×Dic79—21no—
752C2×Dic79—21no—
753C2×Dic79—21no—
754C2×Dic79—21no—
755C2×Dic79—21no—
756C2×Dic79—81no—
757C2×Dic79—81no—
758C2×Dic79—81no—
759C2×Dic79C22×D411yescharacteristic
760C2×Dic79C22×D411yescharacteristic
761C2×Dic79C22×D411yescharacteristic
762C2×Dic79C22×D411yescharacteristic
763C2×Dic79C22×D411yescharacteristic
764C2×Dic79C22×D411yescharacteristic
765D316—24no—
766D316—24no—
767D316—24no—
768D316—22no—
769D316—21no—
770D316—21no—
771D316—21no—
772D316—21no—
773D316—42no—
774D316—81no—
775D316C2×#4112yes—
776D316C2×#4112yes—
777C4×D79—24no—
778C4×D79—21no—
779C4×D79—21no—
780C4×D79—24no—
781C4×D79—41no—
782C4×D79—41no—
783C4×D79—41no—
784C4×D79—41no—
785C4×D79—42no—
786C4×D79—42no—
787C4×D79—42no—
788C4×D79—42no—
789C4×D79—42no—
790C4×D79—81no—
791C4×D79—81no—
792C4×D79—81no—
793C4×D79—81no—
794C4×D79—81no—
795C4×D79—81no—
796C4×D79—81no—
797C4×D79—81no—
798C4×D79—81no—
799C4×D79—81no—
800C4×D79C2×#4112yes—
801C4×D79C2×#4112yes—
802Dic158—22no—
803Dic158—21no—
804Dic158—21no—
805Dic158—42no—
806Dic158—81no—
807C8×C79—21no—
808C8×C79—21no—
809C8×C79—21no—
810C8×C79—21no—
811C79⋊C8—21no—
812C79⋊C8—21no—
813C79⋊C8—21no—
814C79⋊C8—21no—
815C22×C79—21no—
816C22×C79—21no—
817C22×C79—21no—
818C22×C79—22no—
819C22×C79—41no—
820C22×C79—41no—
821C22×C79C23×D411yescharacteristic
822C2×D79—21no—
823C2×D79—21no—
824C2×D79—21no—
825C2×D79—21no—
826C2×D79—22no—
827C2×D79—22no—
828C2×D79—21no—
829C2×D79—41no—
830C2×D79—41no—
831C2×D79—41no—
832C2×D79—41no—
833C2×D79—41no—
834C2×D79—41no—
835C2×D79—41no—
836C2×D79—84no—
837C2×D79—84no—
838C2×D79—84no—
839C2×D79#52512yes—
840C4×C79—21no—
841C4×C79—21no—
842C4×C79—21no—
843C4×C79—21no—
844C4×C79—21no—
845C4×C79—22no—
846C4×C79—41no—
847C4×C79—41no—
848C4×C79—41no—
849C4×C79—41no—
850C4×C79—41no—
851C4×C79—41no—
852C4×C79C22×#4111yescharacteristic
853C4×C79C22×#4111yescharacteristic
854Dic79—21no—
855Dic79—21no—
856Dic79—21no—
857Dic79—21no—
858Dic79—21no—
859Dic79—41no—
860Dic79—41no—
861Dic79—41no—
862Dic79—41no—
863Dic79—41no—
864Dic79#52512yes—
865#60575—791nomaximal, Sylow
866C2×C79—41no—
867C2×C79—42no—
868C2×C79C2×#52511yescharacteristic
869C2×C79#358511yescharacteristic
870C2×C79#358611yescharacteristic
871D79—22no—
872D79—41no—
873D79—42no—
874D79—42no—
875D79—81no—
876#3461—791no—
877C4×H(5,𝔽2)—791no—
878#3124—791no—
879#3124—791no—
880#3123—791no—
881#3123—791no—
882#3120—791no—
883#3120—791no—
884#3118—791no—
885#3118—791no—
886#3116—791no—
887#3116D7911yescharacteristic, complemented
888#3114—791no—
889#3114—791no—
890#3111—791no—
891#3111—791no—
892#3110—791no—
893#3110—791no—
894#3098—791no—
895#3097—791no—
896#3083—791no—
897#3081—791no—
898#3046—791no—
899#3042—791no—
900#3012—791no—
901#3009—791no—
902C4×#137—791no—
903C4×AGL(1,ℤ/8)—791no—
904#2943—791no—
905C2×#440—791no—
906#2923—791no—
907C79#6057511yescharacteristic, complemented, Sylow
908C2×H(5,𝔽2)—791no—
909C2×#137—791no—
910C2×AGL(1,ℤ/8)—791no—
911C2×#135—791no—
912C22×SD16—791no—
913#544—791no—
914#542—791no—
915#542—791no—
916#542—1581no—
917#541—791no—
918#541—791no—
919#541—1581no—
920#539—1581no—
921#539—1581no—
922#537—791no—
923#536—791no—
924#536—791no—
925#533—791no—
926#533—1581no—
927#533C2×D7911yescharacteristic, complemented
928#529—791no—
929#529—791no—
930#529—1581no—
931#529—1581no—
932#529—1581no—
933#520—791no—
934#520—791no—
935#520—791no—
936#520—791no—
937#520—1581no—
938#518—791no—
939#518—791no—
940#518—791no—
941#518—1581no—
942#518—1581no—
943#518—1581no—
944C4×#41—791no—
945C4×#41—791no—
946C4×#41—791no—
947C4×#41—791no—
948C4×#41—1581no—
949C4×#41C2×D7911yescharacteristic
950C2×C4×Q8—791no—
951C2×C4×D4—791no—
952C2×C4×D4—791no—
953C2×C4×D4—791no—
954C2×C4×D4—1581no—
955C2×C4×D4—1581no—
956C2×C4×D4—1581no—
957#485—791no—
958#485—791no—
959#485—791no—
960#485—791no—
961#485C2×D7911yescharacteristic, complemented
962#485C2×D7911yescharacteristic, complemented
963#484—791no—
964#484—791no—
965#484—791no—
966#484—791no—
967#483—791no—
968#483—791no—
969#482—791no—
970#482—791no—
971#480—791no—
972#480—791no—
973#479—791no—
974#479—791no—
975#478—791no—
976#478—791no—
977#478—791no—
978#478—791no—
979#478—791no—
980#478—791no—
981#477—791no—
982#477C2×D7911yescharacteristic, complemented
983#476—791no—
984#476C2×D7911yescharacteristic, complemented
985#474—791no—
986#474—791no—
987#474—791no—
988#474—791no—
989#464—791no—
990#464—791no—
991#463—791no—
992#463—791no—
993#463—791no—
994#463—791no—
995#463—791no—
996#463—791no—
997#462—791no—
998#462C2×D7911yescharacteristic, complemented
999#461—791no—
1000#461—791no—
1001#461—791no—
1002#461—791no—
1003#461—791no—
1004#461C2×D7911yescharacteristic, complemented
1005#452—791no—
1006#452—791no—
1007#452—791no—
1008#452—791no—
1009#452C2×D7911yescharacteristic
1010#452C2×D7911yescharacteristic
1011#450—791no—
1012#450—791no—
1013#450—791no—
1014#450—791no—
1015#450—791no—
1016#450—791no—
1017#449—791no—
1018#449—791no—
1019#447—791no—
1020#447—791no—
1021#442—791no—
1022#442—791no—
1023#442—791no—
1024#442—791no—
1025#441—791no—
1026#441—791no—
1027#441C2×D7911yescharacteristic, complemented
1028#441C2×D7911yescharacteristic, complemented
1029#440—791no—
1030#440—791no—
1031#440—791no—
1032#440—791no—
1033#440—791no—
1034#440—791no—
1035#440—791no—
1036#440—791no—
1037#440—791no—
1038#440—791no—
1039#440—791no—
1040#440—791no—
1041#440—791no—
1042#440—791no—
1043#440C2×D7911yescharacteristic, complemented
1044#440C2×D7911yescharacteristic, complemented
1045C4×Q16—791no—
1046C4×Q16—791no—
1047C4×SD16—791no—
1048C4×SD16—791no—
1049C4×SD16—791no—
1050C4×SD16—791no—
1051C4×D8—791no—
1052C4×D8—791no—
1053#433—791no—
1054#433—791no—
1055#433—791no—
1056#433—791no—
1057#432—791no—
1058#432—791no—
1059#432—791no—
1060#432C2×D7911yescharacteristic, complemented
1061#428—791no—
1062#428—791no—
1063#427—791no—
1064C2×#107—791no—
1065#424—791no—
1066#424—791no—
1067#419—791no—
1068#418—791no—
1069#417—791no—
1070#417—791no—
1071#416—791no—
1072#416—791no—
1073C2×#103—791no—
1074C2×#102—791no—
1075#408—791no—
1076#408—791no—
1077C4×M16—791no—
1078C2×#97—791no—
1079H(5,𝔽2)—1584no—
1080H(5,𝔽2)—1584no—
1081C2×#41—791no—
1082C2×#41—791no—
1083C2×#41—791no—
1084C2×#41—791no—
1085C2×#41—1581no—
1086C2×#41C22×D7911yescharacteristic
1087C22×Q8—791no—
1088C22×D4—791no—
1089C22×D4—791no—
1090C22×D4—791no—
1091C22×D4—1581no—
1092C22×D4—1581no—
1093C22×D4—1581no—
1094C23×C4—1581no—
1095C23×C4—1581no—
1096C23×C4—1581no—
1097#137—1584no—
1098AGL(1,ℤ/8)—1584no—
1099#135—1584no—
1100C2×Q16—791no—
1101C2×Q16C22×D7911yescharacteristic
1102C2×Q16C22×D7911yescharacteristic
1103C2×SD16—791no—
1104C2×SD16—791no—
1105C2×SD16—791no—
1106C2×SD16—791no—
1107C2×SD16—791no—
1108C2×SD16—791no—
1109C2×SD16—791no—
1110C2×SD16—791no—
1111C2×SD16—1584no—
1112C2×SD16C22×D7911yescharacteristic
1113C2×SD16C22×D7911yescharacteristic
1114C2×D8—791no—
1115C2×D8—791no—
1116C2×D8—791no—
1117C2×M16—791no—
1118C2×M16—791no—
1119C22×C8—791no—
1120C22×C8—791no—
1121C4⋊Q8—791no—
1122C4⋊Q8—791no—
1123C4⋊Q8—1581no—
1124C4⋊Q8—1581no—
1125C4⋊Q8C22×D7911yescharacteristic
1126C4⋊Q8C22×D7911yescharacteristic
1127#126—1581no—
1128#126—1581no—
1129#126—1581no—
1130#126—1581no—
1131#126—1581no—
1132#126—1581no—
1133#126—1581no—
1134#126—1581no—
1135#125—21no—
1136#125—791no—
1137#125—791no—
1138#125—1581no—
1139#125—1581no—
1140#125—1581no—
1141#125—1581no—
1142#125—1581no—
1143#125—1581no—
1144#124—791no—
1145#124—791no—
1146#124—1581no—
1147#124—1581no—
1148#124—1581no—
1149#123—1581no—
1150#123—1581no—
1151#123—1581no—
1152#123—1581no—
1153#123—1581no—
1154#123—1581no—
1155#123—1581no—
1156#123—1581no—
1157C22⋊Q8—21no—
1158C22⋊Q8—791no—
1159C22⋊Q8—791no—
1160C22⋊Q8—791no—
1161C22⋊Q8—791no—
1162C22⋊Q8—1581no—
1163C22⋊Q8—1581no—
1164C22⋊Q8—1581no—
1165C22⋊Q8—1581no—
1166C22⋊Q8—1581no—
1167C22⋊Q8—1581no—
1168C22⋊Q8—1581no—
1169C22⋊Q8—1581no—
1170C22⋊Q8C22×D7911yescharacteristic
1171C22⋊Q8C22×D7911yescharacteristic
1172#121—791no—
1173#121—791no—
1174#121—1581no—
1175#121—1581no—
1176#121—1581no—
1177C4×Q8—21no—
1178C4×Q8—791no—
1179C4×Q8—791no—
1180C4×Q8—791no—
1181C4×Q8—791no—
1182C4×Q8—791no—
1183C4×Q8—791no—
1184C4×Q8—791no—
1185C4×Q8—791no—
1186C4×Q8—1581no—
1187C4×Q8—1581no—
1188C4×Q8—1581no—
1189C4×Q8—1581no—
1190C4×Q8C22×D7911yescharacteristic
1191C4×Q8C22×D7911yescharacteristic
1192C4×Q8C22×D7911yescharacteristic
1193C4×Q8C22×D7911yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—791no—
1197C4×D4—791no—
1198C4×D4—791no—
1199C4×D4—791no—
1200C4×D4—791no—
1201C4×D4—791no—
1202C4×D4—791no—
1203C4×D4—791no—
1204C4×D4—791no—
1205C4×D4—791no—
1206C4×D4—791no—
1207C4×D4—791no—
1208C4×D4—791no—
1209C4×D4—791no—
1210C4×D4—791no—
1211C4×D4—791no—
1212C4×D4—791no—
1213C4×D4—791no—
1214C4×D4—1581no—
1215C4×D4—1581no—
1216C4×D4—1581no—
1217C4×D4—1581no—
1218C4×D4—1581no—
1219C4×D4—1581no—
1220C4×D4—1581no—
1221C4×D4—1581no—
1222C4×D4—1581no—
1223C4×D4—1581no—
1224C4×D4—1581no—
1225C4×D4—1581no—
1226C4×D4—1581no—
1227C4×D4—1581no—
1228C4×D4—1581no—
1229C4×D4—1581no—
1230C4×D4—1581no—
1231C4×D4—1581no—
1232C4×D4—1581no—
1233C4×D4—1581no—
1234C4×D4—1581no—
1235C4×D4—1581no—
1236C4×D4—1581no—
1237C4×D4—1581no—
1238C4×D4—1581no—
1239C4×D4—1581no—
1240C4×D4—1581no—
1241C4×D4—1581no—
1242C4×D4—1581no—
1243C4×D4C22×D7911yescharacteristic
1244C4×D4C22×D7911yescharacteristic
1245#117—21no—
1246#117—21no—
1247#117—791no—
1248#117—791no—
1249#117—791no—
1250#117—791no—
1251#117—791no—
1252#117—791no—
1253#117—1581no—
1254#117—1581no—
1255#117—1581no—
1256#117—1581no—
1257#117—1581no—
1258#117—1581no—
1259#117—1581no—
1260#117—1581no—
1261#117—1581no—
1262#117C22×D7911yescharacteristic
1263C2×C4⋊C4—791no—
1264C2×C4⋊C4—791no—
1265C2×C4⋊C4—791no—
1266C2×C4⋊C4—791no—
1267C2×C4⋊C4—1581no—
1268C2×C4⋊C4—1581no—
1269C2×C4⋊C4—1581no—
1270C2×C4⋊C4—1581no—
1271C2×C22⋊C4—1581no—
1272C2×C22⋊C4—1581no—
1273C2×C22⋊C4—1581no—
1274C2×C22⋊C4—1581no—
1275C2×C22⋊C4—1581no—
1276C2×C22⋊C4—1581no—
1277C2×C22⋊C4—1581no—
1278C2×C22⋊C4—1581no—
1279C2×C22⋊C4—1581no—
1280C2×C42—21no—
1281C2×C42—791no—
1282C2×C42—791no—
1283C2×C42—1581no—
1284C2×C42—1581no—
1285C2×C42—1581no—
1286C2×C42—1581no—
1287C2×C42C22×D7911yescharacteristic
1288#107—791no—
1289#107—791no—
1290#107—791no—
1291#107—791no—
1292#107—791no—
1293#107—791no—
1294#107—791no—
1295#107—791no—
1296#107C22×D7911yescharacteristic
1297#107C22×D7911yescharacteristic
1298#106—791no—
1299#106—791no—
1300#106—791no—
1301#106—791no—
1302#106C22×D7911yescharacteristic
1303#106C22×D7911yescharacteristic
1304C4⋊C8—791no—
1305C4⋊C8—791no—
1306C4⋊C8—791no—
1307C4⋊C8—791no—
1308C4⋊C8—791no—
1309C4⋊C8—791no—
1310C4⋊C8C22×D7911yescharacteristic
1311C4⋊C8C22×D7911yescharacteristic
1312#103—791no—
1313#103—791no—
1314#103—791no—
1315#103—791no—
1316#103—791no—
1317#103—791no—
1318#103—791no—
1319#103—791no—
1320#103—791no—
1321#103—791no—
1322#103C22×D7911yescharacteristic
1323#103C22×D7911yescharacteristic
1324#103C22×D7911yescharacteristic
1325#103C22×D7911yescharacteristic
1326#103C22×D7911yescharacteristic
1327#103C22×D7911yescharacteristic
1328#102—791no—
1329#102—791no—
1330#102—791no—
1331#102—791no—
1332#102—791no—
1333#102—791no—
1334#102—791no—
1335#102—791no—
1336#102—791no—
1337#102—791no—
1338#102—791no—
1339#102—791no—
1340#102—791no—
1341#102—791no—
1342#102C22×D7911yescharacteristic
1343#102C22×D7911yescharacteristic
1344C22⋊C8—791no—
1345C22⋊C8—791no—
1346C22⋊C8—791no—
1347C22⋊C8—791no—
1348C22⋊C8—791no—
1349C22⋊C8—791no—
1350C22⋊C8C22×D7911yescharacteristic
1351C22⋊C8C22×D7911yescharacteristic
1352#97—791no—
1353#97—791no—
1354#97—791no—
1355#97—791no—
1356#97C22×D7911yescharacteristic
1357#97C22×D7911yescharacteristic
1358C4×C8—791no—
1359C4×C8—791no—
1360C24—1581no—
1361C24—1581no—
1362C24—1581no—
1363#41—22no—
1364#41—22no—
1365#41—794no—
1366#41—1582no—
1367#41—1582no—
1368#41—1588no—
1369#41—1582no—
1370#41—1582no—
1371#41—1582no—
1372#41—1582no—
1373#41—1582no—
1374C2×Q8—21no—
1375C2×Q8—791no—
1376C2×Q8—791no—
1377C2×Q8—1581no—
1378C2×Q8—1581no—
1379C2×Q8—1582no—
1380C2×Q8—1582no—
1381C2×Q8C23×D7911yescharacteristic
1382C2×Q8C23×D7911yescharacteristic
1383C2×Q8C23×D7911yescharacteristic
1384C2×D4—21no—
1385C2×D4—794no—
1386C2×D4—791no—
1387C2×D4—791no—
1388C2×D4—791no—
1389C2×D4—791no—
1390C2×D4—791no—
1391C2×D4—791no—
1392C2×D4—1581no—
1393C2×D4—1582no—
1394C2×D4—1582no—
1395C2×D4—1581no—
1396C2×D4—1581no—
1397C2×D4—1581no—
1398C2×D4—1588no—
1399C2×D4—1582no—
1400C2×D4—1581no—
1401C2×D4—1581no—
1402C2×D4—1582no—
1403C2×D4—1588no—
1404C2×D4—1588no—
1405C2×D4—1581no—
1406C2×D4—1582no—
1407C2×D4—1581no—
1408C2×D4C23×D7911yescharacteristic
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—791no—
1413C22×C4—791no—
1414C22×C4—791no—
1415C22×C4—791no—
1416C22×C4—791no—
1417C22×C4—791no—
1418C22×C4—6322no—
1419C22×C4—6322no—
1420C22×C4—6322no—
1421C22×C4—1581no—
1422C22×C4—1581no—
1423C22×C4—1581no—
1424C22×C4—1581no—
1425C22×C4—1581no—
1426C22×C4—1581no—
1427C22×C4—1581no—
1428C22×C4—1581no—
1429C22×C4—1581no—
1430C22×C4—1581no—
1431C22×C4—1581no—
1432C22×C4—1581no—
1433C22×C4—1581no—
1434C22×C4—1581no—
1435C22×C4—1581no—
1436C22×C4—1581no—
1437C22×C4—1581no—
1438C22×C4—1581no—
1439C22×C4—1581no—
1440C22×C4—1581no—
1441C22×C4D4×D7911yescharacteristic
1442C22×C4D4×D7911yescharacteristic
1443C22×C4C23×D7911yescharacteristic
1444Q16—22no—
1445Q16—22no—
1446Q16—1582no—
1447SD16—22no—
1448SD16—22no—
1449SD16—1582no—
1450SD16—1582no—
1451SD16—1582no—
1452SD16—1582no—
1453SD16—1582no—
1454SD16—1582no—
1455SD16—1582no—
1456SD16—1582no—
1457D8—1582no—
1458D8—1582no—
1459D8—1582no—
1460M16—1582no—
1461M16—1582no—
1462C2×C8—791no—
1463C2×C8—791no—
1464C2×C8—791no—
1465C2×C8—791no—
1466C2×C8—1582no—
1467C2×C8—1582no—
1468C2×C8C23×D7911yescharacteristic
1469C2×C8C23×D7911yescharacteristic
1470C2×C8C23×D7911yescharacteristic
1471C2×C8C23×D7911yescharacteristic
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—791no—
1482C4⋊C4—791no—
1483C4⋊C4—791no—
1484C4⋊C4—791no—
1485C4⋊C4—791no—
1486C4⋊C4—791no—
1487C4⋊C4—791no—
1488C4⋊C4—791no—
1489C4⋊C4—791no—
1490C4⋊C4—791no—
1491C4⋊C4—1581no—
1492C4⋊C4—1581no—
1493C4⋊C4—1581no—
1494C4⋊C4—1581no—
1495C4⋊C4—1581no—
1496C4⋊C4—1581no—
1497C4⋊C4—1581no—
1498C4⋊C4—1581no—
1499C4⋊C4—1581no—
1500C4⋊C4—1581no—
1501C4⋊C4—1581no—
1502C4⋊C4—1581no—
1503C4⋊C4—1581no—
1504C4⋊C4—1581no—
1505C4⋊C4—1581no—
1506C4⋊C4—1581no—
1507C4⋊C4—1581no—
1508C4⋊C4—1581no—
1509C4⋊C4—1581no—
1510C4⋊C4—1581no—
1511C4⋊C4—1581no—
1512C4⋊C4C23×D7911yescharacteristic
1513C4⋊C4C23×D7911yescharacteristic
1514C4⋊C4C23×D7911yescharacteristic
1515C4⋊C4C23×D7911yescharacteristic
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—791no—
1522C22⋊C4—791no—
1523C22⋊C4—791no—
1524C22⋊C4—791no—
1525C22⋊C4—791no—
1526C22⋊C4—791no—
1527C22⋊C4—1581no—
1528C22⋊C4—1581no—
1529C22⋊C4—1581no—
1530C22⋊C4—1581no—
1531C22⋊C4—1581no—
1532C22⋊C4—1581no—
1533C22⋊C4—1581no—
1534C22⋊C4—1581no—
1535C22⋊C4—1581no—
1536C22⋊C4—1581no—
1537C22⋊C4—1581no—
1538C22⋊C4—1581no—
1539C22⋊C4—1581no—
1540C22⋊C4—1581no—
1541C22⋊C4—1581no—
1542C22⋊C4—1581no—
1543C22⋊C4—1581no—
1544C22⋊C4—1581no—
1545C22⋊C4—1581no—
1546C22⋊C4—1581no—
1547C22⋊C4—1581no—
1548C22⋊C4—1581no—
1549C22⋊C4—1581no—
1550C22⋊C4—1581no—
1551C22⋊C4—1581no—
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—791no—
1558C42—791no—
1559C42—791no—
1560C42—791no—
1561C42—791no—
1562C42—791no—
1563C42—1581no—
1564C42—1581no—
1565C42—1581no—
1566C42—1581no—
1567C42—1581no—
1568C42—1581no—
1569C42—1581no—
1570C42—1581no—
1571C42—1581no—
1572C42D4×D7911yescharacteristic
1573C42D4×D7911yescharacteristic
1574C42C23×D7911yescharacteristic
1575C42C23×D7911yescharacteristic
1576C23—21no—
1577C23—791no—
1578C23—791no—
1579C23—6321no—
1580C23—6321no—
1581C23—6321no—
1582C23—6321no—
1583C23—6321no—
1584C23—6321no—
1585C23—1584no—
1586C23—1584no—
1587C23—1584no—
1588C23—1581no—
1589C23—1581no—
1590C23—1581no—
1591C23C2×D4×D7911yescharacteristic
1592Q8—21no—
1593Q8—21no—
1594Q8—21no—
1595Q8—21no—
1596Q8—21no—
1597Q8—81no—
1598Q8—3162no—
1599Q8—6321no—
1600Q8—1582no—
1601Q8—1581no—
1602Q8—1581no—
1603Q8#41×D7912yes—
1604D4—24no—
1605D4—21no—
1606D4—3162no—
1607D4—792no—
1608D4—792no—
1609D4—6321no—
1610D4—6321no—
1611D4—1582no—
1612D4—1584no—
1613D4—1584no—
1614D4—1584no—
1615D4—1582no—
1616D4—1584no—
1617D4—1582no—
1618D4—1584no—
1619D4—1581no—
1620D4—1581no—
1621D4—1581no—
1622D4—1581no—
1623D4#41×D7912yes—
1624C2×C4—24no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—42no—
1637C2×C4—81no—
1638C2×C4—3162no—
1639C2×C4—3162no—
1640C2×C4—3162no—
1641C2×C4—3161no—
1642C2×C4—3161no—
1643C2×C4—3161no—
1644C2×C4—3161no—
1645C2×C4—3162no—
1646C2×C4—3162no—
1647C2×C4—791no—
1648C2×C4—792no—
1649C2×C4—792no—
1650C2×C4—791no—
1651C2×C4—791no—
1652C2×C4—791no—
1653C2×C4—791no—
1654C2×C4—791no—
1655C2×C4—6321no—
1656C2×C4—6321no—
1657C2×C4—6321no—
1658C2×C4—6321no—
1659C2×C4—6321no—
1660C2×C4—6321no—
1661C2×C4—6321no—
1662C2×C4—6321no—
1663C2×C4—6321no—
1664C2×C4—6321no—
1665C2×C4—6321no—
1666C2×C4—6321no—
1667C2×C4—6321no—
1668C2×C4—1584no—
1669C2×C4—1584no—
1670C2×C4—1581no—
1671C2×C4—1581no—
1672C2×C4—1581no—
1673C2×C4—1581no—
1674C2×C4—1581no—
1675C2×C4—1581no—
1676C2×C4—1581no—
1677C2×C4C2×D4×D7911yescharacteristic
1678C2×C4C2×D4×D7911yescharacteristic
1679C2×C4C2×D4×D7911yescharacteristic
1680C2×C4C2×D4×D7911yescharacteristic
1681C2×C4C2×D4×D7911yescharacteristic
1682C2×C4C24×D7911yescharacteristic
1683C8—21no—
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—1581no—
1688C8—1581no—
1689C8—1581no—
1690C8—1581no—
1691C22—21no—
1692C22—22no—
1693C22—21no—
1694C22—21no—
1695C22—41no—
1696C22—41no—
1697C22—3161no—
1698C22—3161no—
1699C22—3161no—
1700C22—3161no—
1701C22—3161no—
1702C22—3161no—
1703C22—3161no—
1704C22—792no—
1705C22—6324no—
1706C22—6324no—
1707C22—6324no—
1708C22—1582no—
1709C22—1582no—
1710C22—1581no—
1711C22—1581no—
1712C22—1581no—
1713C22—1581no—
1714C22—1581no—
1715C22C22×D4×D7911yescharacteristic
1716C4—21no—
1717C4—22no—
1718C4—21no—
1719C4—21no—
1720C4—21no—
1721C4—21no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—3161no—
1729C4—3161no—
1730C4—3161no—
1731C4—3161no—
1732C4—3161no—
1733C4—792no—
1734C4—1581no—
1735C4—1581no—
1736C4—1581no—
1737C4—1581no—
1738C4—1581no—
1739C4C2×#41×D7911yescharacteristic
1740C4C2×#41×D7911yescharacteristic
1741C2—41no—
1742C2—42no—
1743C2—3162no—
1744C2—3162no—
1745C2—3161no—
1746C2—6321no—
1747C2—1582no—
1748C2#525×D7911yescharacteristic
1749C2#2377817711yescharacteristic
1750C2#2377818311yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3116C2
socleC22×C79C23×D4
prime radical#23772708C2
hypercenter#3116D79
hypocenterC79#60575
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3116

Complements

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

NH ≅ G/Ntype
1. #23776831C2semidirect
2. C4×#14579207C2semidirect
3. #23773669C2semidirect
4. #23773663C2semidirect
5. #23773650C2semidirect
6. #23773648C2semidirect
7. #23773613C2semidirect
8. #23773607C2semidirect
9. #23773589C2semidirect
10. #23773587C2semidirect
11. #23773560C2semidirect
12. #23773542C2semidirect
13. #23773540C2semidirect
14. #23773515C2semidirect
15. #23773509C2semidirect
16. #23773497C2semidirect
17. #23773495C2semidirect
18. #23773381C2semidirect
19. #23773366C2semidirect
20. #23773248C2semidirect
21. #23773226C2semidirect
22. #23772947C2semidirect
23. #23772907C2semidirect
25. #23772674C2semidirect
26. #23772216C2semidirect
27. #23772205C2semidirect
28. #23772199C2semidirect
29. #440×D79C2semidirect
30. #23772046C2semidirect
31. C79×#3116C2semidirect
37. #19099190C22semidirect
38. #19099187C22semidirect
39. #19099186C22semidirect
41. #19099174C22semidirect
42. #19099173C22semidirect
47. #19099138C22semidirect
50. #19099117C22semidirect
52. #19099100C22semidirect
53. #19099097C22semidirect
69. C4×#11929625C22semidirect
72. C4×Q8×D79C22semidirect
79. #19098907C22semidirect
80. #19098904C22semidirect
81. #19098903C22semidirect
82. #19098902C22semidirect
83. #19098900C22semidirect
84. #19098897C22semidirect
85. #19098896C22semidirect
86. #19098896C22semidirect
87. #19098894C22semidirect
88. #19098892C22semidirect
89. #19098889C22semidirect
90. #19098887C22semidirect
91. #19098878C22semidirect
92. #19098877C22semidirect
93. #19098870C22semidirect
94. #19098868C22semidirect
95. #19098866C22semidirect
96. #19098865C22semidirect
97. #19098864C22semidirect
98. #19098864C22semidirect
99. #19098863C22semidirect
100. #19098862C22semidirect
101. #19098856C22semidirect
102. #19098852C22semidirect
103. #19098842C22semidirect
104. #19098841C22semidirect
105. #19098840C22semidirect
106. #19098840C22semidirect
107. #19098787C22semidirect
108. #19098785C22semidirect
109. #19098781C22semidirect
110. #19098781C22semidirect
111. #19098780C22semidirect
112. #19098779C22semidirect
113. #19098779C22semidirect
114. #19098778C22semidirect
115. #19098771C22semidirect
116. #19098767C22semidirect
117. #19098767C22semidirect
118. #19098766C22semidirect
119. #19098765C22semidirect
120. #19098765C22semidirect
135. #19098676C22semidirect
136. #19098676C22semidirect
137. #19098674C22semidirect
138. #19098673C22semidirect
139. #19098670C22semidirect
140. #19098668C22semidirect
141. #19098666C22semidirect
142. #19098666C22semidirect
143. #19098666C22semidirect
144. #19098665C22semidirect
145. #19098665C22semidirect
146. #19098664C22semidirect
147. #19098663C22semidirect
148. #19098662C22semidirect
149. #19098661C22semidirect
150. #19098661C22semidirect
151. #19098661C22semidirect
152. #19098661C22semidirect
153. #19098661C22semidirect
154. #19098660C22semidirect
155. Q16×Dic79C22semidirect
156. #19098655C22semidirect
157. SD16×Dic79C22semidirect
158. #19098650C22semidirect
159. #19098648C22semidirect
160. #19098648C22semidirect
161. #19098645C22semidirect
162. #19098643C22semidirect
163. #19098623C22semidirect
164. #19098623C22semidirect
165. #19098621C22semidirect
166. #19098621C22semidirect
167. #19098620C22semidirect
168. #19098618C22semidirect
169. #19098618C22semidirect
170. #19098604C22semidirect
171. #19098602C22semidirect
172. #19098598C22semidirect
173. #107×D79C22semidirect
174. #19098588C22semidirect
175. #19098588C22semidirect
176. #19098570C22semidirect
179. #19098563C22semidirect
181. #19098558C22semidirect
182. #103×D79C22semidirect
186. #19098515C22semidirect
187. #97×D79C22semidirect
188. #533×C79C22semidirect
190. #485×C79C22semidirect
191. #485×C79C22semidirect
192. #477×C79C22semidirect
193. #476×C79C22semidirect
194. #462×C79C22semidirect
195. #461×C79C22semidirect
198. #441×C79C22semidirect
199. #441×C79C22semidirect
200. #440×C79C22semidirect
201. #440×C79C22semidirect
202. #432×C79C22semidirect
887. #3116D79semidirect
907. C79#60575semidirect
927. #533C2×D79semidirect
961. #485C2×D79semidirect
962. #485C2×D79semidirect
982. #477C2×D79semidirect
984. #476C2×D79semidirect
998. #462C2×D79semidirect
1004. #461C2×D79semidirect
1027. #441C2×D79semidirect
1028. #441C2×D79semidirect
1043. #440C2×D79semidirect
1044. #440C2×D79semidirect
1060. #432C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237768312
C4×#145792072
#237736692
#237736632
#237736502
#237736482
#237736132
#237736072
#237735892
#237735872
#237735602
#237735422
#237735402
#237735152
#237735092
#237734972
#237734952
#237733812
#237733662
#237732482
#237732262
#237729472
#237729072
#237727082
#237726742
#237722162
#237722052
#237721992
#440×D792
#237720462
C79×#31162
#6057579