Finite Group Databasebeta

← #35171348

Subgroups — #35171348

Order 20224.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777417C211yesmaximal, characteristic, complemented
2#23777340C211yesmaximal, characteristic, complemented
3#23776471C211yesmaximal, characteristic, complemented
4#23776311C211yesmaximal, characteristic, complemented
5#23776228C211yesmaximal, characteristic, complemented
6#23776215C211yesmaximal, characteristic, complemented
7#23775980C211yesmaximal, characteristic, complemented
8#23775931C211yesmaximal, characteristic, complemented
9#23775905C211yesmaximal, characteristic, complemented
10#23775669C211yesmaximal, characteristic, complemented
11#23775627C211yesmaximal, characteristic, complemented
12#23775576C211yesmaximal, characteristic, complemented
13#23775561C211yesmaximal, characteristic, complemented
14#23775437C211yesmaximal, characteristic, complemented
15#23775392C211yesmaximal, characteristic, complemented
16#23775031C211yesmaximal, characteristic, complemented
17#23774912C211yesmaximal, characteristic, complemented
18#23774889C211yesmaximal, characteristic, complemented
19#23774087C211yesmaximal, characteristic, complemented
20#23774035C211yesmaximal, characteristic, complemented
21#23774006C211yesmaximal, characteristic, complemented
22#23773688C211yesmaximal, characteristic, complemented
23#23773658C211yesmaximal, characteristic, complemented
24#23773625C211yesmaximal, characteristic, complemented
25#23773580C211yesmaximal, characteristic, complemented
26#23773509C211yesmaximal, characteristic, complemented
27#23773499C211yesmaximal, characteristic, complemented
28#23772385C211yesmaximal, characteristic, complemented
29#23772254C211yesmaximal, characteristic, complemented
30#23772236C211yesmaximal, characteristic, complemented
31C4×AGL(1,ℤ/8)×C79C211yesmaximal, characteristic, complemented
32C2×#14579190C2211yescharacteristic
33C2×SD16×D79C2211yescharacteristic
34#19099296C2211yescharacteristic
35Q8×Dic158C2211yescharacteristic, complemented
36#19099283—21no—
37#19099283C2211yescharacteristic, complemented
38#19099281—21no—
39#19099281—21no—
40#19099281C2211yescharacteristic
41#19099281C2211yescharacteristic, complemented
42#19099278—21no—
43#19099278C2211yescharacteristic, complemented
44#19099272C2211yescharacteristic
45#19099263C2211yescharacteristic
46#19099262—21no—
47#19099248C2211yescharacteristic
48#19099242—21no—
49#19099239—21no—
50Q8×D316C2211yescharacteristic, complemented
51#19099220C2211yescharacteristic
52#19099220C2211yescharacteristic, complemented
53#19099214C2211yescharacteristic
54#19099208C2211yescharacteristic
55#19099207C2211yescharacteristic
56#19099203—21no—
57D4×C22⋊D79C2211yescharacteristic
58#19099178—21no—
59#19099178—21no—
60#19099178C2211yescharacteristic
61#19099178C2211yescharacteristic, complemented
62#19099178C2211yescharacteristic, complemented
63#19099164C2211yescharacteristic
64#19099155—21no—
65#19099146—21no—
66#19099120—21no—
67#19099120C2211yescharacteristic, complemented
68#19099097—21no—
69#19099097C2211yescharacteristic
70#19099097C2211yescharacteristic
71#19099074—21no—
72C2×#14579144—21no—
73#19099042C2211yescharacteristic
74#19099039C2211yescharacteristic, complemented
75#19099039C2211yescharacteristic, complemented
76#19099035C2211yescharacteristic
77#19098972C2211yescharacteristic, complemented
78#19098971C2211yescharacteristic, complemented
79#19098967C2211yescharacteristic, complemented
80#19098957C2211yescharacteristic, complemented
81#19098951C2211yescharacteristic
82#19098946C2211yescharacteristic, complemented
83#19098932C2211yescharacteristic, complemented
84#19098923C2211yescharacteristic, complemented
85#19098921C2211yescharacteristic, complemented
86#19098921C2211yescharacteristic, complemented
87#19098916C2211yescharacteristic, complemented
88#19098908C2211yescharacteristic
89#19098907C2211yescharacteristic, complemented
90#19098906C2211yescharacteristic, complemented
91#19098904C2211yescharacteristic, complemented
92#19098900C2211yescharacteristic, complemented
93#19098898C2211yescharacteristic, complemented
94#19098898C2211yescharacteristic, complemented
95#19098889C2211yescharacteristic, complemented
96#19098887C2211yescharacteristic
97#19098886C2211yescharacteristic, complemented
98#19098886C2211yescharacteristic, complemented
99#19098885C2211yescharacteristic
100#19098875C2211yescharacteristic, complemented
101#19098873C2211yescharacteristic, complemented
102#19098870C2211yescharacteristic, complemented
103#19098868C2211yescharacteristic, complemented
104#19098863C2211yescharacteristic, complemented
105#19098857C2211yescharacteristic, complemented
106#19098856C2211yescharacteristic, complemented
107#19098851C2211yescharacteristic
108#19098847C2211yescharacteristic, complemented
109#19098843C2211yescharacteristic
110#19098843C2211yescharacteristic, complemented
111#19098842C2211yescharacteristic, complemented
112#19098841C2211yescharacteristic
113#19098821C2211yescharacteristic, complemented
114#19098821C2211yescharacteristic, complemented
115#19098813C2211yescharacteristic, complemented
116#19098810C2211yescharacteristic, complemented
117#19098809C2211yescharacteristic
118#19098809C2211yescharacteristic
119#19098808C2211yescharacteristic
120#19098808C2211yescharacteristic, complemented
121#19098805C2211yescharacteristic, complemented
122#19098798C2211yescharacteristic, complemented
123#19098796C2211yescharacteristic
124#19098791C2211yescharacteristic, complemented
125#19098785C2211yescharacteristic, complemented
126#19098784C2211yescharacteristic, complemented
127#19098784C2211yescharacteristic, complemented
128#19098783C2211yescharacteristic, complemented
129#19098778C2211yescharacteristic, complemented
130#19098777C2211yescharacteristic, complemented
131#19098776C2211yescharacteristic
132#19098776C2211yescharacteristic
133#19098768C2211yescharacteristic
134#19098768C2211yescharacteristic, complemented
135#19098762C2211yescharacteristic
136#19098761C2211yescharacteristic
137#19098726C2211yescharacteristic
138#19098725C2211yescharacteristic, complemented
139#19098720C2211yescharacteristic, complemented
140#19098715C2211yescharacteristic
141#19098714C2211yescharacteristic
142#19098714C2211yescharacteristic
143#19098708C2211yescharacteristic
144#19098705C2211yescharacteristic
145#19098703C2211yescharacteristic, complemented
146#19098700C2211yescharacteristic
147#19098700C2211yescharacteristic, complemented
148#19098695C2211yescharacteristic
149#19098691C2211yescharacteristic, complemented
150#19098691C2211yescharacteristic, complemented
151#19098673C2211yescharacteristic, complemented
152#19098669C2211yescharacteristic, complemented
153#19098668C2211yescharacteristic, complemented
154#19098666C2211yescharacteristic, complemented
155#19098664C2211yescharacteristic
156#19098663C2211yescharacteristic
157#19098663C2211yescharacteristic
158#19098663C2211yescharacteristic, complemented
159#19098663C2211yescharacteristic, complemented
160#19098663C2211yescharacteristic, complemented
161#19098661C2211yescharacteristic, complemented
162#19098660C2211yescharacteristic
163C4×Dic316C2211yescharacteristic, complemented
164C4×Dic316C2211yescharacteristic, complemented
165#19098655C2211yescharacteristic, complemented
166#19098654C2211yescharacteristic
167C4×#11929613C2211yescharacteristic, complemented
168C4×#11929613C2211yescharacteristic, complemented
169SD16×Dic79C2211yescharacteristic
170#19098650C2211yescharacteristic, complemented
171#19098639C2211yescharacteristic
172#19098639C2211yescharacteristic, complemented
173#19098636C2211yescharacteristic, complemented
174#19098636C2211yescharacteristic, complemented
175#19098632C2211yescharacteristic
176#19098632C2211yescharacteristic, complemented
177#19098622C2211yescharacteristic, complemented
178#19098622C2211yescharacteristic, complemented
179#19098620C2211yescharacteristic, complemented
180#19098602C2211yescharacteristic, complemented
181#19098598C2211yescharacteristic, complemented
182#19098570C2211yescharacteristic, complemented
183#19098566C2211yescharacteristic
184#19098556C2211yescharacteristic
185#103×D79C2211yescharacteristic, complemented
186#19098517C2211yescharacteristic, complemented
187#19098517C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C79C2211yescharacteristic
189C4×#41×C79C2211yescharacteristic, complemented
190C2×C4×D4×C79C2211yescharacteristic
191#442×C79C2211yescharacteristic
192#442×C79C2211yescharacteristic, complemented
193#440×C79C2211yescharacteristic
194#440×C79C2211yescharacteristic, complemented
195C4×SD16×C79C2211yescharacteristic
196C4×SD16×C79C2211yescharacteristic, complemented
197C4×D8×C79C2211yescharacteristic
198C4×D8×C79C2211yescharacteristic, complemented
199#428×C79C2211yescharacteristic, complemented
200#418×C79C2211yescharacteristic
201#417×C79C2211yescharacteristic, complemented
202C4×M16×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929623C2311yescharacteristic
205C2×Q8×D79C2311yescharacteristic
206C2×Q8×D79C2311yescharacteristic
207C22×C22⋊D79—21no—
208C2×D4×D79C2311yescharacteristic
209#14579190—24no—
210C2×Dic316C2311yescharacteristic
211C2×Dic316C2311yescharacteristic
212C2×#11929614C2311yescharacteristic
213C2×#11929613C2311yescharacteristic
214C2×#11929613C2311yescharacteristic
215C2×#11929612C2311yescharacteristic
216C2×#11929612C2311yescharacteristic
217C2×#11929612C2311yescharacteristic
218C2×#11929612C2311yescharacteristic
219C2×#11929612C2311yescharacteristic
220C2×#11929611C2311yescharacteristic
221SD16×D79—24no—
222C2×#11929609C2311yescharacteristic
223C2×#11929607C2311yescharacteristic
224C2×#11929607C2311yescharacteristic
225C2×C8×D79C2311yescharacteristic
226C2×C8×D79C2311yescharacteristic
227#14579161—21no—
228#14579161—21no—
229#14579161C2311yescharacteristic
230#14579161C2311yescharacteristic
231#14579160—21no—
232#14579160—21no—
233#14579160C2311yescharacteristic
234#14579160C2311yescharacteristic
235#14579160C2311yescharacteristic
236#14579157C2311yescharacteristic
237#14579156—21no—
238#14579155—21no—
239#14579155—21no—
240#14579155—21no—
241#14579155D411yescharacteristic
242#14579155D411yescharacteristic
243#14579154—21no—
244#14579154—21no—
245#14579154—21no—
246#14579154—21no—
247#14579154—21no—
248#14579154—21no—
249#14579154—21no—
250#14579154—21no—
251#14579153—21no—
252#14579153D411yescharacteristic
253#14579153C2311yescharacteristic
254#14579152C2311yescharacteristic
255#14579151—21no—
256#14579149D411yescharacteristic
257#14579149C2311yescharacteristic
258#14579148—21no—
259#14579148—21no—
260#14579148C2311yescharacteristic
261#14579148C2311yescharacteristic
262#14579148C2311yescharacteristic
263#14579147—21no—
264#14579147—21no—
265#14579147—21no—
266#14579147—21no—
267#14579147—21no—
268#14579147—21no—
269#14579147—21no—
270#14579147—21no—
271#14579146—21no—
272#14579145—21no—
273#14579144—21no—
274#14579144—21no—
275#14579144—21no—
276#14579144—21no—
277#14579144—21no—
278#14579144—21no—
279#14579144—21no—
280#14579144—21no—
281#14579144—21no—
282#14579144D411yescharacteristic
283#14579144D411yescharacteristic
284#14579143—21no—
285#14579143—21no—
286#14579142—21no—
287#14579141—21no—
288#14579141—21no—
289#14579141C2311yescharacteristic
290#14579141C2311yescharacteristic
291#14579141C2311yescharacteristic
292#14579140—21no—
293#14579140—21no—
294#14579140—21no—
295#14579140—21no—
296#14579140—21no—
297#14579140—21no—
298#14579140—21no—
299#14579140—21no—
300#14579140D411yescharacteristic
301#14579140C2311yescharacteristic
302#14579140C2311yescharacteristic
303#14579140C2311yescharacteristic
304#14579139—21no—
305#14579138—21no—
306#14579138—21no—
307#14579136C2311yescharacteristic
308#14579135—21no—
309#14579135—21no—
310#14579135—21no—
311#14579135D411yescharacteristic
312#14579135C2311yescharacteristic
313#14579134—21no—
314#14579134—21no—
315#14579133—21no—
316#14579133—21no—
317#14579132—21no—
318#14579132—21no—
319#14579132C2311yescharacteristic
320#14579132C2311yescharacteristic
321#14579132C2311yescharacteristic
322#14579132C2311yescharacteristic
323#14579131—21no—
324#14579130—21no—
325#14579130—21no—
326#14579129—21no—
327Q8×Dic79C2311yescharacteristic
328Q8×Dic79C2311yescharacteristic
329C4×Dic158—21no—
330C4×Dic158—21no—
331C4×Dic158—21no—
332C4×Dic158—21no—
333C4×Dic158—21no—
334C4×Dic158—21no—
335C4×Dic158C2311yescharacteristic
336C4×Dic158C2311yescharacteristic
337C4×Dic158C2311yescharacteristic
338C4×Dic158C2311yescharacteristic
339#14579126—21no—
340#14579126—21no—
341#14579126C2311yescharacteristic
342#14579126C2311yescharacteristic
343#14579126C2311yescharacteristic
344C4×D316—21no—
345C4×D316C2311yescharacteristic
346C4×D316C2311yescharacteristic
347D4×Dic79C2311yescharacteristic
348D4×Dic79C2311yescharacteristic
349#14579123C2311yescharacteristic
350C4×C22⋊D79—21no—
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⋊D79C2311yescharacteristic
358C4×C22⋊D79C2311yescharacteristic
359(C22⋊D79)⋊C4—21no—
360(C22⋊D79)⋊C4—21no—
361#14579120—21no—
362#14579120—21no—
363#14579120—21no—
364#14579120—21no—
365#14579119—21no—
366#14579119—21no—
367#14579119C2311yescharacteristic
368#14579119C2311yescharacteristic
369#14579119C2311yescharacteristic
370#14579118—21no—
371#14579118—21no—
372#14579118—21no—
373#14579118C2311yescharacteristic
374#14579118C2311yescharacteristic
375#14579117—21no—
376C2×Dic79⋊C4—21no—
377C2×Dic79⋊C4—21no—
378C4⋊C4×D79C2311yescharacteristic
379C2×C22⋊Dic79—21no—
380C2×(C2×D79)⋊C4—21no—
381C2×(C2×D79)⋊C4—21no—
382C22⋊C4×D79—21no—
383#14579095C2311yescharacteristic
384#14579095C2311yescharacteristic
385#14579094C2311yescharacteristic
386#14579094C2311yescharacteristic
387#14579094C2311yescharacteristic
388#14579094C2311yescharacteristic
389#14579094C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579093C2311yescharacteristic
392#14579093C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396C4⋊(C79⋊C8)C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401#14579086C2311yescharacteristic
402#14579086C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579084C2311yescharacteristic
410#14579084C2311yescharacteristic
411#14579084C2311yescharacteristic
412#14579084C2311yescharacteristic
413#14579084C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425C22⋊(C79⋊C8)C2311yescharacteristic
426C22⋊(C79⋊C8)C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430(C2×D79)⋊C8C2311yescharacteristic
431#14579072C2311yescharacteristic
432#14579072C2311yescharacteristic
433#14579071C2311yescharacteristic
434#14579071C2311yescharacteristic
435C8×Dic79C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C2×#41×C79C2311yescharacteristic
438C22×D4×C79C2311yescharacteristic
439C23×C4×C79—21no—
440AGL(1,ℤ/8)×C79—24no—
441C2×SD16×C79C2311yescharacteristic
442C2×SD16×C79C2311yescharacteristic
443C2×D8×C79C2311yescharacteristic
444C2×D8×C79C2311yescharacteristic
445C2×M16×C79C2311yescharacteristic
446C2×M16×C79C2311yescharacteristic
447C4×Q8×C79C2311yescharacteristic
448C4×Q8×C79C2311yescharacteristic
449C4×D4×C79—21no—
450C4×D4×C79—21no—
451C4×D4×C79—21no—
452C4×D4×C79—21no—
453C4×D4×C79C2311yescharacteristic
454C4×D4×C79C2311yescharacteristic
455C4×D4×C79C2311yescharacteristic
456C4×D4×C79C2311yescharacteristic
457C4×D4×C79C2311yescharacteristic
458C4×D4×C79C2311yescharacteristic
459#117×C79—21no—
460#117×C79C2311yescharacteristic
461C2×C4⋊C4×C79C2311yescharacteristic
462C2×C22⋊C4×C79—21no—
463C2×C42×C79—21no—
464C2×C42×C79C2311yescharacteristic
465#107×C79C2311yescharacteristic
466#107×C79C2311yescharacteristic
467#106×C79C2311yescharacteristic
468#106×C79C2311yescharacteristic
469#103×C79C2311yescharacteristic
470#103×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#97×C79C2311yescharacteristic
478#97×C79C2311yescharacteristic
479C4×C8×C79C2311yescharacteristic
480C4×C8×C79C2311yescharacteristic
481C23×D79—21no—
482#11929624—82no—
483#11929623—22no—
484#11929623—41no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×Dic158—21no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158C2×D411yescharacteristic
492C2×Dic158C2411yescharacteristic
493C2×Dic158C2411yescharacteristic
494C2×Dic158C2411yescharacteristic
495Q8×D79—22no—
496Q8×D79—22no—
497Q8×D79—41no—
498Q8×D79—41no—
499C2×D316—21no—
500C2×D316C2×D411yescharacteristic
501C2×D316C2411yescharacteristic
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—82no—
512C2×C22⋊D79C2×D411yescharacteristic
513C2×C22⋊D79C2×D411yescharacteristic
514D4×D79—22no—
515D4×D79—41no—
516C22×Dic79—21no—
517C22×Dic79—21no—
518C22×Dic79—21no—
519C2×C4×D79—21no—
520C2×C4×D79—21no—
521C2×C4×D79—21no—
522C2×C4×D79—21no—
523C2×C4×D79—21no—
524C2×C4×D79C2411yescharacteristic
525C2×C4×D79C2411yescharacteristic
526Dic316—22no—
527Dic316—41no—
528#11929614—22no—
529#11929613—22no—
530#11929613—41no—
531#11929612—22no—
532#11929612—22no—
533#11929612—41no—
534#11929612—41no—
535#11929612—41no—
536#11929611—22no—
537#11929609—41no—
538#11929607—22no—
539#11929607—41no—
540C2×C79⋊C8C2411yescharacteristic
541C2×C79⋊C8C2411yescharacteristic
542C2×C79⋊C8C2411yescharacteristic
543C2×C79⋊C8C2411yescharacteristic
544C8×D79—22no—
545C8×D79—41no—
546C4⋊Dic79—21no—
547C4⋊Dic79—21no—
548C4⋊Dic79—21no—
549C4⋊Dic79—21no—
550C4⋊Dic79—21no—
551C4⋊Dic79—21no—
552C4⋊Dic79—21no—
553C4⋊Dic79—21no—
554C4⋊Dic79—21no—
555C4⋊Dic79C2×D411yescharacteristic
556C4⋊Dic79C2×D411yescharacteristic
557C4⋊Dic79C2411yescharacteristic
558C4⋊Dic79C2411yescharacteristic
559C4⋊Dic79C2411yescharacteristic
560C4⋊Dic79C2411yescharacteristic
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4C2×D411yescharacteristic
578Dic79⋊C4C2×D411yescharacteristic
579Dic79⋊C4C2×D411yescharacteristic
580Dic79⋊C4C2×D411yescharacteristic
581Dic79⋊C4C2×D411yescharacteristic
582Dic79⋊C4C2×D411yescharacteristic
583Dic79⋊C4C2×D411yescharacteristic
584Dic79⋊C4C2×D411yescharacteristic
585C22⋊Dic79—21no—
586C22⋊Dic79—21no—
587C22⋊Dic79—21no—
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590C22⋊Dic79—21no—
591C22⋊Dic79—21no—
592C22⋊Dic79—21no—
593C22⋊Dic79—21no—
594C22⋊Dic79—21no—
595C22⋊Dic79—21no—
596C22⋊Dic79—21no—
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
599C22⋊Dic79—21no—
600C22⋊Dic79C2×D411yescharacteristic
601C22⋊Dic79C2×D411yescharacteristic
602(C2×D79)⋊C4—21no—
603(C2×D79)⋊C4—21no—
604(C2×D79)⋊C4—21no—
605(C2×D79)⋊C4—21no—
606(C2×D79)⋊C4—21no—
607(C2×D79)⋊C4—21no—
608(C2×D79)⋊C4—21no—
609(C2×D79)⋊C4—21no—
610(C2×D79)⋊C4—21no—
611(C2×D79)⋊C4—21no—
612(C2×D79)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4C2×D411yescharacteristic
615(C2×D79)⋊C4C2×D411yescharacteristic
616(C2×D79)⋊C4C2×D411yescharacteristic
617(C2×D79)⋊C4C2×D411yescharacteristic
618(C2×D79)⋊C4C2×D411yescharacteristic
619(C2×D79)⋊C4C2×D411yescharacteristic
620(C2×D79)⋊C4C2×D411yescharacteristic
621(C2×D79)⋊C4C2×D411yescharacteristic
622C4×Dic79—21no—
623C4×Dic79—21no—
624C4×Dic79—21no—
625C4×Dic79—21no—
626C4×Dic79—21no—
627C4×Dic79—21no—
628C4×Dic79—21no—
629C4×Dic79—21no—
630C4×Dic79—21no—
631C4×Dic79—21no—
632C4×Dic79—21no—
633C4×Dic79C2411yescharacteristic
634C4×Dic79C2411yescharacteristic
635C24×C79—21no—
636#41×C79—22no—
637#41×C79—41no—
638C2×Q8×C79C2411yescharacteristic
639C2×D4×C79—22no—
640C2×D4×C79—21no—
641C2×D4×C79—21no—
642C2×D4×C79—41no—
643C2×D4×C79C2411yescharacteristic
644C2×D4×C79C2411yescharacteristic
645C2×D4×C79C2411yescharacteristic
646C22×C4×C79—21no—
647C22×C4×C79—21no—
648C22×C4×C79—21no—
649C22×C4×C79—21no—
650C22×C4×C79—21no—
651C22×C4×C79—21no—
652C22×C4×C79—21no—
653C22×C4×C79—21no—
654C22×C4×C79—82no—
655C22×C4×C79C2×D411yescharacteristic
656C22×C4×C79C2×D411yescharacteristic
657C22×C4×C79C2411yescharacteristic
658SD16×C79—22no—
659SD16×C79#4114yescomplemented
660D8×C79—22no—
661D8×C79—22no—
662M16×C79—22no—
663M16×C79—41no—
664C2×C8×C79C2411yescharacteristic
665C2×C8×C79C2411yescharacteristic
666C2×C8×C79C2411yescharacteristic
667C2×C8×C79C2411yescharacteristic
668C4⋊C4×C79—21no—
669C4⋊C4×C79—21no—
670C4⋊C4×C79—21no—
671C4⋊C4×C79C2411yescharacteristic
672C4⋊C4×C79C2411yescharacteristic
673C4⋊C4×C79C2411yescharacteristic
674C4⋊C4×C79C2411yescharacteristic
675C22⋊C4×C79—21no—
676C22⋊C4×C79—21no—
677C22⋊C4×C79—21no—
678C22⋊C4×C79—21no—
679C22⋊C4×C79—21no—
680C22⋊C4×C79—21no—
681C22⋊C4×C79—21no—
682C42×C79—21no—
683C42×C79—21no—
684C42×C79—21no—
685C42×C79C2×D411yescharacteristic
686C42×C79C2×D411yescharacteristic
687C42×C79C2411yescharacteristic
688C42×C79C2411yescharacteristic
689C23×C79—21no—
690C23×C79—21no—
691C23×C79—21no—
692C23×C79—42no—
693C23×C79—42no—
694C23×C79—81no—
695C23×C79C22×D411yescharacteristic
696C22×D79—21no—
697C22×D79—42no—
698C22×D79—81no—
699C22×D79—81no—
700C22×D79C22×D411yescharacteristic
701C22×D79C22×D411yescharacteristic
702Q8×C79—21no—
703Q8×C79C2×#4112yes—
704D4×C79—21no—
705D4×C79—21no—
706D4×C79—21no—
707D4×C79—21no—
708D4×C79—21no—
709D4×C79—42no—
710D4×C79—42no—
711D4×C79C2×#4112yes—
712C2×C4×C79—21no—
713C2×C4×C79—21no—
714C2×C4×C79—21no—
715C2×C4×C79—21no—
716C2×C4×C79—21no—
717C2×C4×C79—21no—
718C2×C4×C79—21no—
719C2×C4×C79—41no—
720C2×C4×C79—41no—
721C2×C4×C79—42no—
722C2×C4×C79—42no—
723C2×C4×C79—42no—
724C2×C4×C79—81no—
725C2×C4×C79—81no—
726C2×C4×C79—81no—
727C2×C4×C79—81no—
728C2×C4×C79—81no—
729C2×C4×C79C22×D411yescharacteristic
730C2×C4×C79C22×D411yescharacteristic
731C2×C4×C79C22×D411yescharacteristic
732C2×C4×C79C22×D411yescharacteristic
733C2×C4×C79C22×D411yescharacteristic
734C2×C4×C79C2511yescharacteristic
735C22⋊D79—41no—
736C22⋊D79—41no—
737C22⋊D79—42no—
738C22⋊D79—42no—
739C22⋊D79—42no—
740C22⋊D79—81no—
741C22⋊D79—81no—
742C22⋊D79—81no—
743C22⋊D79—81no—
744C22⋊D79—81no—
745C22⋊D79—81no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—21no—
750C2×Dic79—21no—
751C2×Dic79—21no—
752C2×Dic79—21no—
753C2×Dic79—42no—
754C2×Dic79—81no—
755C2×Dic79—81no—
756C2×Dic79C22×D411yescharacteristic
757C2×Dic79C22×D411yescharacteristic
758C2×Dic79C22×D411yescharacteristic
759C2×Dic79C22×D411yescharacteristic
760C2×Dic79C22×D411yescharacteristic
761C2×Dic79C22×D411yescharacteristic
762D316—21no—
763D316—21no—
764D316—41no—
765D316—81no—
766C4×D79—21no—
767C4×D79—21no—
768C4×D79—21no—
769C4×D79—21no—
770C4×D79—42no—
771C4×D79—42no—
772C4×D79—81no—
773C4×D79—81no—
774C4×D79—81no—
775Dic158—21no—
776Dic158—21no—
777Dic158—21no—
778Dic158—21no—
779Dic158—21no—
780Dic158—21no—
781Dic158—41no—
782Dic158—42no—
783Dic158—42no—
784Dic158—81no—
785Dic158—81no—
786Dic158—81no—
787Dic158—81no—
788C8×C79—21no—
789C8×C79—21no—
790C8×C79—21no—
791C8×C79C2×#4112yes—
792C79⋊C8—21no—
793C79⋊C8—21no—
794C79⋊C8—21no—
795C79⋊C8—21no—
796C22×C79—21no—
797C22×C79—21no—
798C22×C79—22no—
799C22×C79—21no—
800C22×C79—41no—
801C22×C79—41no—
802C22×C79—41no—
803C22×C79—41no—
804C22×C79—41no—
805C22×C79—41no—
806C22×C79—41no—
807C22×C79—41no—
808C22×C79—84no—
809C22×C79C23×D411yescharacteristic
810C2×D79—21no—
811C2×D79—21no—
812C2×D79—21no—
813C2×D79—21no—
814C2×D79—21no—
815C2×D79—21no—
816C2×D79—41no—
817C2×D79—41no—
818C2×D79—41no—
819C2×D79—162no—
820C4×C79—21no—
821C4×C79—21no—
822C4×C79—21no—
823C4×C79—21no—
824C4×C79—21no—
825C4×C79—22no—
826C4×C79—41no—
827C4×C79—41no—
828C4×C79—41no—
829C4×C79—41no—
830C4×C79C22×#4111yescharacteristic
831C4×C79#58511yescharacteristic
832Dic79—21no—
833Dic79—21no—
834Dic79—21no—
835Dic79—21no—
836Dic79—21no—
837Dic79—21no—
838Dic79—41no—
839Dic79—41no—
840Dic79—41no—
841Dic79—41no—
842Dic79—41no—
843Dic79—41no—
844Dic79—41no—
845#61503—791nomaximal, Sylow
846C2×C79—42no—
847C2×C79—41no—
848C2×C79—81no—
849C2×C79—81no—
850C2×C79D4×#4111yescharacteristic
851C2×C79#358511yescharacteristic
852C2×C79#358611yescharacteristic
853D79—41no—
854D79—41no—
855D79—81no—
856#3518—791no—
857#3513—791no—
858#3401—791no—
859#3385—791no—
860#3376—791no—
861#3375—791no—
862#3353—791no—
863#3349—791no—
864#3347—791no—
865#3327—791no—
866#3324—791no—
867#3320—791no—
868#3319—791no—
869#3311—791no—
870#3308—791no—
871#3275—791no—
872#3266—791no—
873#3265—791no—
874#3179—791no—
875#3175—791no—
876#3172—791no—
877#3126—791no—
878#3124—791no—
879#3121—791no—
880#3118—791no—
881#3111—791no—
882#3110—791no—
883#2967—791no—
884#2949—791no—
885#2947—791no—
886C4×AGL(1,ℤ/8)D7911yescharacteristic, complemented
887C79#6150311yescharacteristic, complemented, Sylow
888C2×#137—791no—
889C2×AGL(1,ℤ/8)C2×D7911yescharacteristic
890C22×SD16—791no—
891#559—791no—
892Q82—791no—
893#556—791no—
894#556—791no—
895#556—791no—
896#556—1581no—
897#556—1581no—
898#556—1581no—
899#555—791no—
900#555—1581no—
901#554—791no—
902#553—791no—
903#553—1581no—
904#552—791no—
905#551—1581no—
906#551—1581no—
907D4×Q8—791no—
908#548—791no—
909#548—791no—
910#547—791no—
911#546—791no—
912#546—791no—
913#546—1581no—
914D42—791no—
915#542—791no—
916#542—791no—
917#542—791no—
918#542—1581no—
919#542—1581no—
920#540—791no—
921#539—1581no—
922#538—1581no—
923#533—791no—
924#533—1581no—
925#529—791no—
926#529—791no—
927#529—1581no—
928#525—1581no—
929C2×#123—1581no—
930#520—791no—
931#519—791no—
932#519—791no—
933#518—791no—
934C4×#41C2×D7911yescharacteristic, complemented
935C2×C4×D4C2×D7911yescharacteristic
936#501—791no—
937#501—791no—
938#500—791no—
939#497—791no—
940#496—791no—
941#495—791no—
942#491—791no—
943#489—791no—
944#489—791no—
945#489—791no—
946#488—791no—
947#486—791no—
948#485—791no—
949#485—791no—
950#485—791no—
951#484—791no—
952#484—791no—
953#484—791no—
954#482—791no—
955#482—791no—
956#482—791no—
957#482—791no—
958#482—791no—
959#480—791no—
960#479—791no—
961#479—791no—
962#479—791no—
963#478—791no—
964#477—791no—
965#477—791no—
966#476—791no—
967#475—791no—
968#474—791no—
969#474—791no—
970#474—791no—
971#474—791no—
972#470—791no—
973#470—791no—
974#469—791no—
975#468—791no—
976#468—791no—
977#468—791no—
978#468—791no—
979#468—791no—
980#467—791no—
981#466—791no—
982#466—791no—
983#465—791no—
984#464—791no—
985#464—791no—
986#464—791no—
987#464—791no—
988#463—791no—
989#463—791no—
990#463—791no—
991#463—791no—
992#461—791no—
993#461—791no—
994#460—791no—
995#460—791no—
996#452—791no—
997#452—791no—
998#451—791no—
999#450—791no—
1000#450—791no—
1001#450—791no—
1002#449—791no—
1003#449—791no—
1004#448—791no—
1005#448—791no—
1006#448—791no—
1007#447—791no—
1008#446—791no—
1009#446—791no—
1010#442—791no—
1011#442C2×D7911yescharacteristic
1012#442C2×D7911yescharacteristic, complemented
1013#441—791no—
1014#441—791no—
1015#440—791no—
1016#440—791no—
1017#440—791no—
1018#440—791no—
1019#440—791no—
1020#440—791no—
1021#440—791no—
1022#440—791no—
1023#440—791no—
1024#440C2×D7911yescharacteristic
1025#440C2×D7911yescharacteristic, complemented
1026C4×Q16—791no—
1027C4×Q16—791no—
1028C4×Q16—791no—
1029C4×SD16—791no—
1030C4×SD16—791no—
1031C4×SD16—791no—
1032C4×SD16—791no—
1033C4×SD16—791no—
1034C4×SD16C2×D7911yescharacteristic
1035C4×SD16C2×D7911yescharacteristic, complemented
1036C4×D8C2×D7911yescharacteristic
1037C4×D8C2×D7911yescharacteristic, complemented
1038#436—791no—
1039#436—791no—
1040#435—791no—
1041#435—791no—
1042#435—791no—
1043#435—791no—
1044#433—791no—
1045#433—791no—
1046#432—791no—
1047#428—791no—
1048#428C2×D7911yescharacteristic, complemented
1049#427—791no—
1050#419—791no—
1051#418—791no—
1052#418C2×D7911yescharacteristic
1053#417C2×D7911yescharacteristic, complemented
1054#416—791no—
1055C2×#103—791no—
1056#405—791no—
1057#405—791no—
1058C4×M16C2×D7911yescharacteristic, complemented
1059C2×#41—791no—
1060C2×#41—1581no—
1061C2×#41C22×D7911yescharacteristic
1062C22×Q8—791no—
1063C22×Q8—791no—
1064C22×D4—791no—
1065C22×D4—1581no—
1066C22×D4C22×D7911yescharacteristic
1067C23×C4—21no—
1068#137—1584no—
1069AGL(1,ℤ/8)—24no—
1070C2×Q16—791no—
1071C2×Q16—791no—
1072C2×Q16—791no—
1073C2×SD16—791no—
1074C2×SD16—791no—
1075C2×SD16—791no—
1076C2×SD16—791no—
1077C2×SD16—791no—
1078C2×SD16—791no—
1079C2×SD16—791no—
1080C2×SD16—791no—
1081C2×SD16—1584no—
1082C2×SD16C22×D7911yescharacteristic
1083C2×SD16C22×D7911yescharacteristic
1084C2×D8—791no—
1085C2×D8C22×D7911yescharacteristic
1086C2×D8C22×D7911yescharacteristic
1087C2×M16—791no—
1088C2×M16—791no—
1089C2×M16C22×D7911yescharacteristic
1090C2×M16C22×D7911yescharacteristic
1091C22×C8—791no—
1092C22×C8—791no—
1093C4⋊Q8—791no—
1094C4⋊Q8—791no—
1095C4⋊Q8—791no—
1096C4⋊Q8—791no—
1097C4⋊Q8—791no—
1098C4⋊Q8—1581no—
1099C4⋊Q8—1581no—
1100C4⋊Q8—1581no—
1101C4⋊Q8—1581no—
1102#127—791no—
1103#126—791no—
1104#126—791no—
1105#126—1581no—
1106#126—1581no—
1107#126—1581no—
1108#126—1581no—
1109#126—1581no—
1110#126—1581no—
1111#126—1581no—
1112#126—1581no—
1113#126—1581no—
1114#126—1581no—
1115#126—1581no—
1116#126—1581no—
1117#125—791no—
1118#125—791no—
1119#125—791no—
1120#125—1581no—
1121#125—1581no—
1122#124—791no—
1123#124—791no—
1124#124—791no—
1125#124—791no—
1126#124—791no—
1127#124—1581no—
1128#124—1581no—
1129#124—1581no—
1130#124—1581no—
1131#124—1581no—
1132#124—1581no—
1133#124—1581no—
1134#124—1581no—
1135#124—1581no—
1136#124—1581no—
1137#123—791no—
1138#123—791no—
1139#123—1581no—
1140#123—1581no—
1141#123—1581no—
1142#123—1581no—
1143#123—1581no—
1144#123—1581no—
1145#123—1581no—
1146#123—1581no—
1147#123—1581no—
1148#123—1581no—
1149#123—1581no—
1150#123—1581no—
1151#123—1581no—
1152#123—1581no—
1153C22⋊Q8—791no—
1154C22⋊Q8—791no—
1155C22⋊Q8—791no—
1156C22⋊Q8—791no—
1157C22⋊Q8—791no—
1158C22⋊Q8—791no—
1159C22⋊Q8—791no—
1160C22⋊Q8—1581no—
1161C22⋊Q8—1581no—
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⋊Q8—1581no—
1171C22⋊Q8—1581no—
1172C22⋊Q8—1581no—
1173#121—791no—
1174#121—791no—
1175#121—791no—
1176#121—791no—
1177#121—791no—
1178#121—791no—
1179#121—791no—
1180#121—1581no—
1181#121—1581no—
1182#121—1581no—
1183#121—1581no—
1184#121—1581no—
1185#121—1581no—
1186#121—1581no—
1187#121—1581no—
1188#121—1581no—
1189#120—1581no—
1190#120—1581no—
1191#120—1581no—
1192#120—1581no—
1193C4×Q8—791no—
1194C4×Q8—791no—
1195C4×Q8—791no—
1196C4×Q8—791no—
1197C4×Q8—791no—
1198C4×Q8—791no—
1199C4×Q8—791no—
1200C4×Q8—791no—
1201C4×Q8—791no—
1202C4×Q8—1581no—
1203C4×Q8—1581no—
1204C4×Q8—1581no—
1205C4×Q8—1581no—
1206C4×Q8—1581no—
1207C4×Q8—1581no—
1208C4×Q8—1581no—
1209C4×Q8—1581no—
1210C4×Q8C22×D7911yescharacteristic
1211C4×Q8C22×D7911yescharacteristic
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—791no—
1217C4×D4—791no—
1218C4×D4—791no—
1219C4×D4—791no—
1220C4×D4—791no—
1221C4×D4—791no—
1222C4×D4—791no—
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×D4C22×D7911yescharacteristic
1234C4×D4C22×D7911yescharacteristic
1235C4×D4C22×D7911yescharacteristic
1236C4×D4C22×D7911yescharacteristic
1237C4×D4C22×D7911yescharacteristic
1238C4×D4C22×D7911yescharacteristic
1239#117—21no—
1240#117—791no—
1241#117—791no—
1242#117—791no—
1243#117—791no—
1244#117—791no—
1245#117—1581no—
1246#117—1581no—
1247#117—1581no—
1248#117—1581no—
1249#117—1581no—
1250#117—1581no—
1251#117—1581no—
1252#117—1581no—
1253#117—1581no—
1254#117—1581no—
1255#117C22×D7911yescharacteristic
1256C2×C4⋊C4—791no—
1257C2×C4⋊C4—1581no—
1258C2×C4⋊C4—1581no—
1259C2×C4⋊C4C22×D7911yescharacteristic
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—1581no—
1262C2×C22⋊C4—1581no—
1263C2×C22⋊C4—1581no—
1264C2×C22⋊C4—1581no—
1265C2×C42—21no—
1266C2×C42C22×D7911yescharacteristic
1267#107—791no—
1268#107—791no—
1269#107—791no—
1270#107—791no—
1271#107—791no—
1272#107—791no—
1273#107—791no—
1274#107—791no—
1275#107C22×D7911yescharacteristic
1276#107C22×D7911yescharacteristic
1277#106—791no—
1278#106—791no—
1279#106—791no—
1280#106—791no—
1281#106C22×D7911yescharacteristic
1282#106C22×D7911yescharacteristic
1283C4⋊C8—791no—
1284C4⋊C8—791no—
1285C4⋊C8—791no—
1286C4⋊C8—791no—
1287C4⋊C8—791no—
1288C4⋊C8—791no—
1289#103—791no—
1290#103—791no—
1291#103—791no—
1292#103—791no—
1293#103—791no—
1294#103—791no—
1295#103—791no—
1296#103—791no—
1297#103—791no—
1298#103—791no—
1299#103—791no—
1300#103—791no—
1301#103—791no—
1302#103—791no—
1303#103C22×D7911yescharacteristic
1304#103C22×D7911yescharacteristic
1305#102—791no—
1306#102—791no—
1307#102—791no—
1308#102—791no—
1309#102—791no—
1310#102—791no—
1311#102—791no—
1312#102—791no—
1313#102—791no—
1314#102—791no—
1315#102C22×D7911yescharacteristic
1316#102C22×D7911yescharacteristic
1317#102C22×D7911yescharacteristic
1318#102C22×D7911yescharacteristic
1319#102C22×D7911yescharacteristic
1320#102C22×D7911yescharacteristic
1321C22⋊C8—791no—
1322C22⋊C8—791no—
1323C22⋊C8—791no—
1324C22⋊C8—791no—
1325C22⋊C8—791no—
1326C22⋊C8—791no—
1327#97—791no—
1328#97—791no—
1329#97—791no—
1330#97—791no—
1331#97C22×D7911yescharacteristic
1332#97C22×D7911yescharacteristic
1333C4×C8—791no—
1334C4×C8—791no—
1335C4×C8C22×D7911yescharacteristic
1336C4×C8C22×D7911yescharacteristic
1337C24—21no—
1338C24—1581no—
1339#41—22no—
1340#41—41no—
1341#41—3161no—
1342#41—6322no—
1343#41—1582no—
1344C2×Q8—3161no—
1345C2×Q8—3161no—
1346C2×Q8—791no—
1347C2×Q8—791no—
1348C2×Q8—791no—
1349C2×Q8—791no—
1350C2×Q8—1581no—
1351C2×Q8—1581no—
1352C2×Q8—1581no—
1353C2×Q8—1581no—
1354C2×Q8—1581no—
1355C2×Q8—1582no—
1356C2×Q8—1582no—
1357C2×Q8—1581no—
1358C2×Q8C23×D7911yescharacteristic
1359C2×D4—22no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—41no—
1363C2×D4—3161no—
1364C2×D4—791no—
1365C2×D4—791no—
1366C2×D4—791no—
1367C2×D4—791no—
1368C2×D4—6322no—
1369C2×D4—1581no—
1370C2×D4—1581no—
1371C2×D4—1581no—
1372C2×D4—1581no—
1373C2×D4—1581no—
1374C2×D4—1581no—
1375C2×D4—1582no—
1376C2×D4—1581no—
1377C2×D4—1581no—
1378C2×D4—1581no—
1379C2×D4—1581no—
1380C2×D4C23×D7911yescharacteristic
1381C2×D4C23×D7911yescharacteristic
1382C2×D4C23×D7911yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—82no—
1392C22×C4—791no—
1393C22×C4—791no—
1394C22×C4—1581no—
1395C22×C4—1581no—
1396C22×C4—1581no—
1397C22×C4—1581no—
1398C22×C4—1581no—
1399C22×C4—1581no—
1400C22×C4—1581no—
1401C22×C4—1581no—
1402C22×C4D4×D7911yescharacteristic
1403C22×C4D4×D7911yescharacteristic
1404C22×C4C23×D7911yescharacteristic
1405Q16—3161no—
1406Q16—1582no—
1407Q16—1582no—
1408SD16—22no—
1409SD16—3161no—
1410SD16—3161no—
1411SD16—3161no—
1412SD16—3161no—
1413SD16—1582no—
1414SD16—1582no—
1415SD16—1582no—
1416SD16—1582no—
1417SD16#1192962414yescomplemented
1418D8—22no—
1419D8—22no—
1420D8—3161no—
1421M16—22no—
1422M16—41no—
1423M16—3161no—
1424M16—1582no—
1425C2×C8—3161no—
1426C2×C8—791no—
1427C2×C8—791no—
1428C2×C8—791no—
1429C2×C8—791no—
1430C2×C8—1582no—
1431C2×C8C23×D7911yescharacteristic
1432C2×C8C23×D7911yescharacteristic
1433C2×C8C23×D7911yescharacteristic
1434C2×C8C23×D7911yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—791no—
1439C4⋊C4—791no—
1440C4⋊C4—791no—
1441C4⋊C4—791no—
1442C4⋊C4—791no—
1443C4⋊C4—791no—
1444C4⋊C4—791no—
1445C4⋊C4—791no—
1446C4⋊C4—791no—
1447C4⋊C4—791no—
1448C4⋊C4—791no—
1449C4⋊C4—791no—
1450C4⋊C4—791no—
1451C4⋊C4—791no—
1452C4⋊C4—1581no—
1453C4⋊C4—1581no—
1454C4⋊C4—1581no—
1455C4⋊C4—1581no—
1456C4⋊C4—1581no—
1457C4⋊C4—1581no—
1458C4⋊C4—1581no—
1459C4⋊C4—1581no—
1460C4⋊C4—1581no—
1461C4⋊C4—1581no—
1462C4⋊C4—1581no—
1463C4⋊C4—1581no—
1464C4⋊C4—1581no—
1465C4⋊C4—1581no—
1466C4⋊C4—1581no—
1467C4⋊C4—1581no—
1468C4⋊C4—1581no—
1469C4⋊C4—1581no—
1470C4⋊C4—1581no—
1471C4⋊C4—1581no—
1472C4⋊C4—1581no—
1473C4⋊C4—1581no—
1474C4⋊C4—1581no—
1475C4⋊C4—1581no—
1476C4⋊C4—1581no—
1477C4⋊C4C23×D7911yescharacteristic
1478C4⋊C4C23×D7911yescharacteristic
1479C4⋊C4C23×D7911yescharacteristic
1480C4⋊C4C23×D7911yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—791no—
1489C22⋊C4—791no—
1490C22⋊C4—791no—
1491C22⋊C4—791no—
1492C22⋊C4—791no—
1493C22⋊C4—791no—
1494C22⋊C4—791no—
1495C22⋊C4—791no—
1496C22⋊C4—791no—
1497C22⋊C4—791no—
1498C22⋊C4—1581no—
1499C22⋊C4—1581no—
1500C22⋊C4—1581no—
1501C22⋊C4—1581no—
1502C22⋊C4—1581no—
1503C22⋊C4—1581no—
1504C22⋊C4—1581no—
1505C22⋊C4—1581no—
1506C22⋊C4—1581no—
1507C22⋊C4—1581no—
1508C22⋊C4—1581no—
1509C22⋊C4—1581no—
1510C22⋊C4—1581no—
1511C22⋊C4—1581no—
1512C22⋊C4—1581no—
1513C22⋊C4—1581no—
1514C22⋊C4—1581no—
1515C22⋊C4—1581no—
1516C22⋊C4—1581no—
1517C22⋊C4—1581no—
1518C22⋊C4—1581no—
1519C22⋊C4—1581no—
1520C22⋊C4—1581no—
1521C22⋊C4—1581no—
1522C22⋊C4—1581no—
1523C22⋊C4—1581no—
1524C22⋊C4—1581no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—791no—
1529C42—791no—
1530C42—1581no—
1531C42—1581no—
1532C42—1581no—
1533C42—1581no—
1534C42—1581no—
1535C42—1581no—
1536C42—1581no—
1537C42—1581no—
1538C42—1581no—
1539C42—1581no—
1540C42—1581no—
1541C42D4×D7911yescharacteristic
1542C42D4×D7911yescharacteristic
1543C42C23×D7911yescharacteristic
1544C42C23×D7911yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—42no—
1550C23—81no—
1551C23—3162no—
1552C23—791no—
1553C23—791no—
1554C23—6321no—
1555C23—6321no—
1556C23—1581no—
1557C23C2×D4×D7911yescharacteristic
1558Q8—21no—
1559Q8—3162no—
1560Q8—3162no—
1561Q8—3161no—
1562Q8—6321no—
1563Q8—6321no—
1564Q8—6321no—
1565Q8—6321no—
1566Q8—1581no—
1567Q8—1581no—
1568Q8—1581no—
1569Q8—1581no—
1570Q8—1581no—
1571Q8—1581no—
1572Q8C2×#1192962412yes—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—42no—
1579D4—42no—
1580D4—3161no—
1581D4—3162no—
1582D4—3162no—
1583D4—3162no—
1584D4—3161no—
1585D4—3161no—
1586D4—6321no—
1587D4—6321no—
1588D4—6321no—
1589D4—6321no—
1590D4—6321no—
1591D4—6321no—
1592D4—6321no—
1593D4—1581no—
1594D4—1581no—
1595D4C2×#1192962412yes—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—42no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—3162no—
1614C2×C4—3162no—
1615C2×C4—3162no—
1616C2×C4—791no—
1617C2×C4—791no—
1618C2×C4—791no—
1619C2×C4—791no—
1620C2×C4—791no—
1621C2×C4—791no—
1622C2×C4—6321no—
1623C2×C4—6321no—
1624C2×C4—6321no—
1625C2×C4—6321no—
1626C2×C4—6321no—
1627C2×C4—1581no—
1628C2×C4—1581no—
1629C2×C4—1581no—
1630C2×C4—1581no—
1631C2×C4—1581no—
1632C2×C4—1581no—
1633C2×C4—1581no—
1634C2×C4—1581no—
1635C2×C4—1581no—
1636C2×C4—1581no—
1637C2×C4—1581no—
1638C2×C4C2×D4×D7911yescharacteristic
1639C2×C4C2×D4×D7911yescharacteristic
1640C2×C4C2×D4×D7911yescharacteristic
1641C2×C4C2×D4×D7911yescharacteristic
1642C2×C4C2×D4×D7911yescharacteristic
1643C2×C4C24×D7911yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—1581no—
1648C8—1581no—
1649C8—1581no—
1650C8—1581no—
1651C8C2×#1192962412yes—
1652C22—21no—
1653C22—22no—
1654C22—21no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—84no—
1665C22—3161no—
1666C22—3161no—
1667C22—3161no—
1668C22—1581no—
1669C22—1581no—
1670C22—1581no—
1671C22—1581no—
1672C22—1581no—
1673C22—1581no—
1674C22—12642no—
1675C22C22×D4×D7911yescharacteristic
1676C4—21no—
1677C4—22no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—3161no—
1687C4—3161no—
1688C4—3161no—
1689C4—3161no—
1690C4—3161no—
1691C4—3161no—
1692C4—3161no—
1693C4—1581no—
1694C4—1581no—
1695C4—1581no—
1696C4—1581no—
1697C4—1581no—
1698C4—1581no—
1699C4C22×#1192962411yescharacteristic
1700C4#1909939911yescharacteristic
1701C2—41no—
1702C2—42no—
1703C2—81no—
1704C2—81no—
1705C2—3161no—
1706C2—3161no—
1707C2—6321no—
1708C2D4×#1192962411yescharacteristic
1709C2#2377817611yescharacteristic
1710C2#2377818411yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC4×AGL(1,ℤ/8)×C79C2
socleC22×C79C23×D4
hypercenterC4×AGL(1,ℤ/8)D79
hypocenterC79#61503
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ C4×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. #23777417C2semidirect
2. #23777340C2semidirect
3. #23776471C2semidirect
4. #23776311C2semidirect
5. #23776228C2semidirect
6. #23776215C2semidirect
7. #23775980C2semidirect
8. #23775931C2semidirect
9. #23775905C2semidirect
10. #23775669C2semidirect
11. #23775627C2semidirect
12. #23775576C2semidirect
13. #23775561C2semidirect
14. #23775437C2semidirect
15. #23775392C2semidirect
16. #23775031C2semidirect
17. #23774912C2semidirect
18. #23774889C2semidirect
19. #23774087C2semidirect
20. #23774035C2semidirect
21. #23774006C2semidirect
22. #23773688C2semidirect
23. #23773658C2semidirect
24. #23773625C2semidirect
25. #23773580C2semidirect
26. #23773509C2semidirect
27. #23773499C2semidirect
28. #23772385C2semidirect
29. #23772254C2semidirect
30. #23772236C2semidirect
31. C4×AGL(1,ℤ/8)×C79C2semidirect
35. Q8×Dic158C22semidirect
37. #19099283C22semidirect
41. #19099281C22semidirect
43. #19099278C22semidirect
50. Q8×D316C22semidirect
52. #19099220C22semidirect
61. #19099178C22semidirect
62. #19099178C22semidirect
67. #19099120C22semidirect
74. #19099039C22semidirect
75. #19099039C22semidirect
77. #19098972C22semidirect
78. #19098971C22semidirect
79. #19098967C22semidirect
80. #19098957C22semidirect
82. #19098946C22semidirect
83. #19098932C22semidirect
84. #19098923C22semidirect
85. #19098921C22semidirect
86. #19098921C22semidirect
87. #19098916C22semidirect
89. #19098907C22semidirect
90. #19098906C22semidirect
91. #19098904C22semidirect
92. #19098900C22semidirect
93. #19098898C22semidirect
94. #19098898C22semidirect
95. #19098889C22semidirect
97. #19098886C22semidirect
98. #19098886C22semidirect
100. #19098875C22semidirect
101. #19098873C22semidirect
102. #19098870C22semidirect
103. #19098868C22semidirect
104. #19098863C22semidirect
105. #19098857C22semidirect
106. #19098856C22semidirect
108. #19098847C22semidirect
110. #19098843C22semidirect
111. #19098842C22semidirect
113. #19098821C22semidirect
114. #19098821C22semidirect
115. #19098813C22semidirect
116. #19098810C22semidirect
120. #19098808C22semidirect
121. #19098805C22semidirect
122. #19098798C22semidirect
124. #19098791C22semidirect
125. #19098785C22semidirect
126. #19098784C22semidirect
127. #19098784C22semidirect
128. #19098783C22semidirect
129. #19098778C22semidirect
130. #19098777C22semidirect
134. #19098768C22semidirect
138. #19098725C22semidirect
139. #19098720C22semidirect
145. #19098703C22semidirect
147. #19098700C22semidirect
149. #19098691C22semidirect
150. #19098691C22semidirect
151. #19098673C22semidirect
152. #19098669C22semidirect
153. #19098668C22semidirect
154. #19098666C22semidirect
158. #19098663C22semidirect
159. #19098663C22semidirect
160. #19098663C22semidirect
161. #19098661C22semidirect
163. C4×Dic316C22semidirect
164. C4×Dic316C22semidirect
165. #19098655C22semidirect
167. C4×#11929613C22semidirect
168. C4×#11929613C22semidirect
170. #19098650C22semidirect
172. #19098639C22semidirect
173. #19098636C22semidirect
174. #19098636C22semidirect
176. #19098632C22semidirect
177. #19098622C22semidirect
178. #19098622C22semidirect
179. #19098620C22semidirect
180. #19098602C22semidirect
181. #19098598C22semidirect
182. #19098570C22semidirect
185. #103×D79C22semidirect
186. #19098517C22semidirect
187. #19098517C22semidirect
189. C4×#41×C79C22semidirect
192. #442×C79C22semidirect
194. #440×C79C22semidirect
196. C4×SD16×C79C22semidirect
198. C4×D8×C79C22semidirect
199. #428×C79C22semidirect
201. #417×C79C22semidirect
202. C4×M16×C79C22semidirect
659. SD16×C79#41semidirect
886. C4×AGL(1,ℤ/8)D79semidirect
887. C79#61503semidirect
934. C4×#41C2×D79semidirect
1012. #442C2×D79semidirect
1025. #440C2×D79semidirect
1035. C4×SD16C2×D79semidirect
1037. C4×D8C2×D79semidirect
1048. #428C2×D79semidirect
1053. #417C2×D79semidirect
1058. C4×M16C2×D79semidirect
1417. SD16#11929624semidirect

Maximal subgroups

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

subgroupindex
#237774172
#237773402
#237764712
#237763112
#237762282
#237762152
#237759802
#237759312
#237759052
#237756692
#237756272
#237755762
#237755612
#237754372
#237753922
#237750312
#237749122
#237748892
#237740872
#237740352
#237740062
#237736882
#237736582
#237736252
#237735802
#237735092
#237734992
#237723852
#237722542
#237722362
C4×AGL(1,ℤ/8)×C792
#6150379