Finite Group Databasebeta

← #35182061

Subgroups — #35182061

Order 20224.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777982C211yesmaximal, characteristic, complemented
2#23777335C211yesmaximal, characteristic, complemented
3#23776471C211yesmaximal, characteristic, complemented
4#23776407C211yesmaximal, characteristic, complemented
5#23776152C211yesmaximal, characteristic, complemented
6#23776048C211yesmaximal, characteristic, complemented
7#23775699C211yesmaximal, characteristic, complemented
8#23775669C211yesmaximal, characteristic, complemented
9#23775656C211yesmaximal, characteristic, complemented
10#23775529C211yesmaximal, characteristic, complemented
11#23775246C211yesmaximal, characteristic, complemented
12#23775114C211yesmaximal, characteristic, complemented
13#23775017C211yesmaximal, characteristic, complemented
14#23775011C211yesmaximal, characteristic, complemented
15#23775007C211yesmaximal, characteristic, complemented
16#23774930C211yesmaximal, characteristic, complemented
17#23774898C211yesmaximal, characteristic, complemented
18#23774840C211yesmaximal, characteristic, complemented
19#23774810C211yesmaximal, characteristic, complemented
20#23774795C211yesmaximal, characteristic, complemented
21#23774510C211yesmaximal, characteristic, complemented
22#23774446C211yesmaximal, characteristic, complemented
23#23774373C211yesmaximal, characteristic, complemented
24#23773642C211yesmaximal, characteristic, complemented
25#23773617C211yesmaximal, characteristic, complemented
26#23773444C211yesmaximal, characteristic, complemented
27#23772944C211yesmaximal, characteristic, complemented
28#23772910C211yesmaximal, characteristic, complemented
29#23772863C211yesmaximal, characteristic, complemented
30#23772542C211yesmaximal, characteristic, complemented
31C79×#3306C211yesmaximal, characteristic, complemented
32C2×#14579189C2211yescharacteristic, complemented
33C2×#14579187C2211yescharacteristic
34C2×#14579186C2211yescharacteristic
35C2×#14579185C2211yescharacteristic
36C2×#14579183C2211yescharacteristic
37C2×SD16×D79C2211yescharacteristic, complemented
38#19099308—21no—
39#19099302—21no—
40#19099296C2211yescharacteristic, complemented
41#19099295C2211yescharacteristic, complemented
42#19099283C2211yescharacteristic, complemented
43#19099274C2211yescharacteristic, complemented
44#19099261C2211yescharacteristic
45#19099258—21no—
46#19099258—21no—
47#19099248C2211yescharacteristic, complemented
48#19099240—21no—
49#19099239—21no—
50#19099236—21no—
51#19099231C2211yescharacteristic
52#19099223C2211yescharacteristic, complemented
53#19099220C2211yescharacteristic
54#19099218C2211yescharacteristic, complemented
55#19099210C2211yescharacteristic
56#19099209C2211yescharacteristic
57#19099207C2211yescharacteristic, complemented
58#19099201—21no—
59#19099197C2211yescharacteristic, complemented
60#19099187C2211yescharacteristic, complemented
61#19099173C2211yescharacteristic, complemented
62#19099166—21no—
63#19099166C2211yescharacteristic
64#19099164C2211yescharacteristic, complemented
65#19099159—21no—
66#19099156—21no—
67#19099151—21no—
68#19099149—21no—
69#19099148—21no—
70#19099133C2211yescharacteristic, complemented
71#19099130C2211yescharacteristic, complemented
72#19099109C2211yescharacteristic, complemented
73#19099094C2211yescharacteristic, complemented
74#19099094C2211yescharacteristic, complemented
75#19099093C2211yescharacteristic
76#19099070—21no—
77#123×D79—21no—
78#19099044C2211yescharacteristic
79#19099035C2211yescharacteristic, complemented
80C2×#14579123C2211yescharacteristic, complemented
81#19098957C2211yescharacteristic, complemented
82#19098951C2211yescharacteristic
83#19098946C2211yescharacteristic, complemented
84#19098945C2211yescharacteristic, complemented
85#19098944C2211yescharacteristic, complemented
86#19098938C2211yescharacteristic
87#19098926C2211yescharacteristic, complemented
88#19098919C2211yescharacteristic, complemented
89#19098916C2211yescharacteristic, complemented
90#19098916C2211yescharacteristic, complemented
91#19098915C2211yescharacteristic, complemented
92#19098898C2211yescharacteristic, complemented
93#19098898C2211yescharacteristic, complemented
94#19098889C2211yescharacteristic, complemented
95#19098886C2211yescharacteristic, complemented
96#19098873C2211yescharacteristic, complemented
97#19098873C2211yescharacteristic, complemented
98#19098873C2211yescharacteristic, complemented
99#19098868C2211yescharacteristic, complemented
100#19098865C2211yescharacteristic, complemented
101#19098865C2211yescharacteristic, complemented
102#19098862C2211yescharacteristic, complemented
103#19098862C2211yescharacteristic, complemented
104#19098840C2211yescharacteristic, complemented
105#19098821C2211yescharacteristic, complemented
106#19098817C2211yescharacteristic, complemented
107#19098811C2211yescharacteristic, complemented
108#19098808C2211yescharacteristic, complemented
109#19098807C2211yescharacteristic, complemented
110#19098807C2211yescharacteristic, complemented
111#19098807C2211yescharacteristic, complemented
112#19098798C2211yescharacteristic
113#19098793C2211yescharacteristic, complemented
114#19098792C2211yescharacteristic, complemented
115#19098784C2211yescharacteristic, complemented
116#19098784C2211yescharacteristic, complemented
117#19098784C2211yescharacteristic, complemented
118#19098781C2211yescharacteristic, complemented
119#19098781C2211yescharacteristic, complemented
120#19098779C2211yescharacteristic, complemented
121#19098778C2211yescharacteristic, complemented
122#19098777C2211yescharacteristic
123#19098777C2211yescharacteristic
124#19098777C2211yescharacteristic
125#19098777C2211yescharacteristic, complemented
126#19098777C2211yescharacteristic, complemented
127#19098776C2211yescharacteristic, complemented
128#19098776C2211yescharacteristic, complemented
129#19098775C2211yescharacteristic
130#19098772C2211yescharacteristic, complemented
131#19098769C2211yescharacteristic, complemented
132#19098768C2211yescharacteristic, complemented
133#19098767C2211yescharacteristic, complemented
134#19098767C2211yescharacteristic, complemented
135#19098766C2211yescharacteristic, complemented
136#19098762C2211yescharacteristic, complemented
137#19098762C2211yescharacteristic, complemented
138#19098762C2211yescharacteristic, complemented
139#19098761C2211yescharacteristic, complemented
140#19098757C2211yescharacteristic
141#19098757C2211yescharacteristic
142#19098757C2211yescharacteristic, complemented
143#19098756C2211yescharacteristic, complemented
144#19098727C2211yescharacteristic
145#19098727C2211yescharacteristic, complemented
146#19098726C2211yescharacteristic, complemented
147#19098725C2211yescharacteristic, complemented
148#19098723C2211yescharacteristic
149#19098720C2211yescharacteristic, complemented
150#19098716C2211yescharacteristic, complemented
151#19098710C2211yescharacteristic, complemented
152#19098709C2211yescharacteristic
153#19098706C2211yescharacteristic, complemented
154#19098706C2211yescharacteristic, complemented
155#19098703C2211yescharacteristic, complemented
156#19098698C2211yescharacteristic, complemented
157#19098697C2211yescharacteristic, complemented
158#19098696C2211yescharacteristic
159#19098695C2211yescharacteristic
160#19098691C2211yescharacteristic, complemented
161#19098687C2211yescharacteristic, complemented
162#19098676C2211yescharacteristic, complemented
163#19098669C2211yescharacteristic, complemented
164#19098666C2211yescharacteristic, complemented
165#19098655C2211yescharacteristic, complemented
166#19098650C2211yescharacteristic, complemented
167#19098650C2211yescharacteristic, complemented
168#19098650C2211yescharacteristic, complemented
169C4×#11929609C2211yescharacteristic
170C4×#11929609C2211yescharacteristic, complemented
171#19098643C2211yescharacteristic
172#19098643C2211yescharacteristic, complemented
173#19098641C2211yescharacteristic, complemented
174#19098639C2211yescharacteristic, complemented
175#19098638C2211yescharacteristic, complemented
176#19098637C2211yescharacteristic, complemented
177C8×C22⋊D79C2211yescharacteristic, complemented
178#19098625C2211yescharacteristic, complemented
179#19098621C2211yescharacteristic, complemented
180#19098613C2211yescharacteristic, complemented
181#19098589C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183#19098586C2211yescharacteristic, complemented
184#19098570C2211yescharacteristic, complemented
185#19098562C2211yescharacteristic, complemented
186#19098562C2211yescharacteristic, complemented
187#19098556C2211yescharacteristic, complemented
188#547×C79C2211yescharacteristic
189#546×C79C2211yescharacteristic, complemented
190#489×C79C2211yescharacteristic, complemented
191#483×C79C2211yescharacteristic, complemented
192#481×C79C2211yescharacteristic, complemented
193#476×C79C2211yescharacteristic, complemented
194#469×C79C2211yescharacteristic
195#465×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#449×C79C2211yescharacteristic
198#447×C79C2211yescharacteristic, complemented
199#442×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic, complemented
201#417×C79C2211yescharacteristic, complemented
202C2×#102×C79C2211yescharacteristic, complemented
203C2×#11929624C2311yescharacteristic
204C2×#11929624C2311yescharacteristic
205C2×#11929624C2311yescharacteristic
206C2×#11929623C2311yescharacteristic
207C2×Q8×D79C2311yescharacteristic
208C22×D316C2311yescharacteristic
209C2×D4×D79—21no—
210C2×D4×D79C2311yescharacteristic
211C22×C4×D79—21no—
212#14579189—42no—
213#14579187—42no—
214#14579186—42no—
215#14579185—42no—
216#14579183—42no—
217C2×Dic316C2311yescharacteristic
218C2×Dic316C2311yescharacteristic
219C2×#11929614C2311yescharacteristic
220C2×#11929613C2311yescharacteristic
221C2×#11929613C2311yescharacteristic
222C2×#11929613C2311yescharacteristic
223C2×#11929613C2311yescharacteristic
224C2×#11929613C2311yescharacteristic
225C2×#11929612C2311yescharacteristic
226C2×#11929612C2311yescharacteristic
227C2×#11929612C2311yescharacteristic
228C2×#11929612C2311yescharacteristic
229C2×#11929611C2311yescharacteristic
230C2×#11929611C2311yescharacteristic
231SD16×D79—42no—
232C2×D632C2311yescharacteristic
233C2×D632C2311yescharacteristic
234C2×#11929609C2311yescharacteristic
235C2×#11929609C2311yescharacteristic
236C2×#11929609C2311yescharacteristic
237C2×#11929609C2311yescharacteristic
238C2×#11929609C2311yescharacteristic
239C2×#11929608C2311yescharacteristic
240C2×#11929608C2311yescharacteristic
241C2×#11929607C2311yescharacteristic
242C2×C8×D79C2311yescharacteristic
243#14579161C2311yescharacteristic
244#14579159C2311yescharacteristic
245#14579157—21no—
246#14579157C2311yescharacteristic
247#14579157C2311yescharacteristic
248#14579157C2311yescharacteristic
249#14579156—21no—
250#14579156—21no—
251#14579156—21no—
252#14579156D411yescharacteristic
253#14579154—21no—
254#14579154—21no—
255#14579154—21no—
256#14579154—21no—
257#14579154—21no—
258#14579154—21no—
259#14579154D411yescharacteristic
260#14579152—21no—
261#14579152C2311yescharacteristic
262#14579152C2311yescharacteristic
263#14579152C2311yescharacteristic
264#14579151—21no—
265#14579151—21no—
266#14579151D411yescharacteristic
267#14579150—21no—
268#14579150C2311yescharacteristic
269#14579149C2311yescharacteristic
270#14579148—21no—
271#14579148C2311yescharacteristic
272#14579148C2311yescharacteristic
273#14579148C2311yescharacteristic
274#14579148C2311yescharacteristic
275#14579147—21no—
276#14579147—21no—
277#14579147—21no—
278#14579147D411yescharacteristic
279#14579146—21no—
280#14579146—21no—
281#14579146—21no—
282#14579145—21no—
283#14579145—21no—
284#14579145D411yescharacteristic
285#14579144—21no—
286#14579144—21no—
287#14579144—21no—
288#14579143—21no—
289#14579143—21no—
290#14579143—21no—
291#14579143—21no—
292#14579143—21no—
293#14579143—21no—
294#14579143—21no—
295#14579143—21no—
296#14579143—21no—
297#14579142—21no—
298#14579142—21no—
299#14579142—21no—
300#14579142D411yescharacteristic
301#14579141—21no—
302#14579141C2311yescharacteristic
303#14579140—21no—
304#14579140—21no—
305#14579140C2311yescharacteristic
306#14579140C2311yescharacteristic
307#14579140C2311yescharacteristic
308#14579139—21no—
309#14579138—21no—
310#14579138—21no—
311#14579138D411yescharacteristic
312#14579137—21no—
313#14579137—21no—
314#14579137—21no—
315#14579136C2311yescharacteristic
316#14579136C2311yescharacteristic
317#14579135—21no—
318#14579135—21no—
319#14579135C2311yescharacteristic
320#14579134—21no—
321#14579134—21no—
322#14579134—21no—
323#14579134—21no—
324#14579134—21no—
325#14579133—21no—
326#14579133—21no—
327#14579133—21no—
328#14579133—21no—
329#14579133—21no—
330#14579133D411yescharacteristic
331#14579132—21no—
332#14579132—21no—
333#14579132—21no—
334#14579132—21no—
335#14579132—21no—
336#14579132—21no—
337#14579132C2311yescharacteristic
338#14579131—21no—
339#14579130—21no—
340#14579130—21no—
341#14579130—21no—
342#14579129—21no—
343#14579129—21no—
344#14579129—21no—
345Q8×Dic79C2311yescharacteristic
346C4×Dic158C2311yescharacteristic
347#14579126C2311yescharacteristic
348#14579126C2311yescharacteristic
349#14579126C2311yescharacteristic
350#14579126C2311yescharacteristic
351C4×D316C2311yescharacteristic
352C4×D316C2311yescharacteristic
353D4×Dic79—21no—
354D4×Dic79—21no—
355D4×Dic79C2311yescharacteristic
356D4×Dic79C2311yescharacteristic
357#14579123—21no—
358#14579123—21no—
359#14579123—21no—
360#14579123C2311yescharacteristic
361#14579123C2311yescharacteristic
362#14579123C2311yescharacteristic
363#14579123C2311yescharacteristic
364#14579123C2311yescharacteristic
365C4×C22⋊D79—21no—
366C4×C22⋊D79—21no—
367C4×C22⋊D79—21no—
368C4×C22⋊D79—21no—
369C4×C22⋊D79—21no—
370C4×C22⋊D79—21no—
371C4×C22⋊D79—21no—
372C4×C22⋊D79—21no—
373C4×C22⋊D79C2311yescharacteristic
374C4×C22⋊D79C2311yescharacteristic
375(C22⋊D79)⋊C4—21no—
376(C22⋊D79)⋊C4—21no—
377(C22⋊D79)⋊C4—21no—
378#14579120—21no—
379#14579120—21no—
380#14579120C2311yescharacteristic
381#14579119—21no—
382#14579119C2311yescharacteristic
383#14579118C2311yescharacteristic
384#14579117—21no—
385#14579117—21no—
386C4⋊C4×D79—21no—
387C4⋊C4×D79—21no—
388C4⋊C4×D79—21no—
389C2×C22⋊Dic79—21no—
390C2×(C2×D79)⋊C4—21no—
391C2×(C2×D79)⋊C4—21no—
392C22⋊C4×D79—21no—
393C22⋊C4×D79—21no—
394C22⋊C4×D79—21no—
395C2×C4×Dic79C2311yescharacteristic
396#14579094C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579094C2311yescharacteristic
400#14579093C2311yescharacteristic
401C4⋊(C79⋊C8)C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407Dic79⋊C8C2311yescharacteristic
408Dic79⋊C8C2311yescharacteristic
409Dic79⋊C8C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579086C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579083C2311yescharacteristic
423#14579083C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436#14579071C2311yescharacteristic
437C4×C79⋊C8C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C8×Dic79C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C2×#41×C79—21no—
442C2×#41×C79C2311yescharacteristic
443C22×D4×C79C2311yescharacteristic
444C2×SD16×C79C2311yescharacteristic
445C2×D8×C79C2311yescharacteristic
446C2×D8×C79C2311yescharacteristic
447C2×M16×C79C2311yescharacteristic
448C22×C8×C79C2311yescharacteristic
449C4⋊Q8×C79C2311yescharacteristic
450#124×C79C2311yescharacteristic
451#123×C79—21no—
452#123×C79—21no—
453#123×C79—21no—
454C22⋊Q8×C79—21no—
455C22⋊Q8×C79C2311yescharacteristic
456#121×C79—21no—
457#121×C79C2311yescharacteristic
458#121×C79C2311yescharacteristic
459#121×C79C2311yescharacteristic
460#120×C79—21no—
461C4×D4×C79C2311yescharacteristic
462C4×D4×C79C2311yescharacteristic
463C4×D4×C79C2311yescharacteristic
464C2×C4⋊C4×C79C2311yescharacteristic
465C2×C4⋊C4×C79C2311yescharacteristic
466C2×C22⋊C4×C79—21no—
467#106×C79C2311yescharacteristic
468#106×C79C2311yescharacteristic
469#106×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483#97×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486#11929624—22no—
487#11929624—41no—
488#11929624—41no—
489#11929624—41no—
490#11929624—41no—
491#11929624—41no—
492#11929623—41no—
493#11929623—41no—
494C2×Dic158—21no—
495C2×Dic158C2×D411yescharacteristic
496C2×Dic158C2411yescharacteristic
497C2×Dic158C2411yescharacteristic
498C2×Dic158C2411yescharacteristic
499Q8×D79—41no—
500Q8×D79—41no—
501C2×D316—21no—
502C2×D316—21no—
503C2×D316—22no—
504C2×D316—21no—
505C2×D316—41no—
506C2×D316C2411yescharacteristic
507C2×D316C2411yescharacteristic
508C2×D316C2411yescharacteristic
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—21no—
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79—21no—
522C2×C22⋊D79C2×D411yescharacteristic
523C2×C22⋊D79C2×D411yescharacteristic
524D4×D79—22no—
525D4×D79—41no—
526D4×D79—82no—
527C22×Dic79—21no—
528C22×Dic79—21no—
529C22×Dic79—21no—
530C22×Dic79C2×D411yescharacteristic
531C22×Dic79C2×D411yescharacteristic
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—82no—
544C2×C4×D79C2411yescharacteristic
545Dic316—41no—
546Dic316—41no—
547#11929614—41no—
548#11929613—22no—
549#11929613—22no—
550#11929613—41no—
551#11929613—41no—
552#11929613—41no—
553#11929612—41no—
554#11929612—41no—
555#11929612—41no—
556#11929612—41no—
557#11929611—22no—
558#11929611—41no—
559D632—22no—
560D632—41no—
561#11929609—22no—
562#11929609—22no—
563#11929609—41no—
564#11929609—41no—
565#11929609—41no—
566#11929608—41no—
567#11929608—41no—
568#11929607—41no—
569C2×C79⋊C8C2411yescharacteristic
570C2×C79⋊C8C2411yescharacteristic
571C2×C79⋊C8C2411yescharacteristic
572C2×C79⋊C8C2411yescharacteristic
573C8×D79—41no—
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⋊Dic79C2×D411yescharacteristic
584C4⋊Dic79C2411yescharacteristic
585C4⋊Dic79C2411yescharacteristic
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4—21no—
595Dic79⋊C4—21no—
596Dic79⋊C4—21no—
597Dic79⋊C4—21no—
598Dic79⋊C4C2×D411yescharacteristic
599Dic79⋊C4C2×D411yescharacteristic
600Dic79⋊C4C2×D411yescharacteristic
601Dic79⋊C4C2×D411yescharacteristic
602Dic79⋊C4C2×D411yescharacteristic
603Dic79⋊C4C2×D411yescharacteristic
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612C22⋊Dic79—21no—
613C22⋊Dic79—21no—
614C22⋊Dic79—21no—
615C22⋊Dic79—21no—
616C22⋊Dic79—21no—
617C22⋊Dic79—21no—
618C22⋊Dic79C2×D411yescharacteristic
619C22⋊Dic79C2×D411yescharacteristic
620C22⋊Dic79C2×D411yescharacteristic
621C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
633(C2×D79)⋊C4—21no—
634(C2×D79)⋊C4—21no—
635(C2×D79)⋊C4—21no—
636(C2×D79)⋊C4—21no—
637(C2×D79)⋊C4—21no—
638(C2×D79)⋊C4C2×D411yescharacteristic
639(C2×D79)⋊C4C2×D411yescharacteristic
640(C2×D79)⋊C4C2×D411yescharacteristic
641(C2×D79)⋊C4C2×D411yescharacteristic
642C4×Dic79—21no—
643C4×Dic79—21no—
644C4×Dic79—21no—
645C4×Dic79—21no—
646C4×Dic79—21no—
647C4×Dic79—21no—
648C4×Dic79C2×D411yescharacteristic
649C4×Dic79C2×D411yescharacteristic
650C4×Dic79C2411yescharacteristic
651C4×Dic79C2411yescharacteristic
652C4×Dic79C2411yescharacteristic
653C24×C79—21no—
654#41×C79—41no—
655#41×C79—41no—
656#41×C79—82no—
657C2×Q8×C79—21no—
658C2×Q8×C79C2411yescharacteristic
659C2×D4×C79—21no—
660C2×D4×C79—21no—
661C2×D4×C79—21no—
662C2×D4×C79—21no—
663C2×D4×C79—21no—
664C2×D4×C79—41no—
665C2×D4×C79—41no—
666C2×D4×C79C2×D411yescharacteristic
667C2×D4×C79C2411yescharacteristic
668C2×D4×C79C2411yescharacteristic
669C2×D4×C79C2411yescharacteristic
670C22×C4×C79—21no—
671C22×C4×C79—21no—
672C22×C4×C79—21no—
673C22×C4×C79—21no—
674C22×C4×C79—21no—
675C22×C4×C79C2411yescharacteristic
676C22×C4×C79C2411yescharacteristic
677SD16×C79—41no—
678D8×C79—41no—
679D8×C79—41no—
680M16×C79—41no—
681C2×C8×C79—41no—
682C2×C8×C79C2411yescharacteristic
683C2×C8×C79C2411yescharacteristic
684C2×C8×C79C2411yescharacteristic
685C2×C8×C79C2411yescharacteristic
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79C2×D411yescharacteristic
691C4⋊C4×C79C2411yescharacteristic
692C4⋊C4×C79C2411yescharacteristic
693C4⋊C4×C79C2411yescharacteristic
694C4⋊C4×C79C2411yescharacteristic
695C22⋊C4×C79—21no—
696C22⋊C4×C79—21no—
697C22⋊C4×C79—21no—
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79—21no—
701C22⋊C4×C79—21no—
702C22⋊C4×C79—21no—
703C22⋊C4×C79C2×D411yescharacteristic
704C22⋊C4×C79C2×D411yescharacteristic
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—21no—
709C23×C79—81no—
710C23×C79—81no—
711C23×C79—81no—
712C23×C79C22×D411yescharacteristic
713C23×C79C22×D411yescharacteristic
714C22×D79—21no—
715C22×D79—21no—
716C22×D79—21no—
717C22×D79—42no—
718C22×D79—42no—
719C22×D79—42no—
720C22×D79—81no—
721C22×D79—81no—
722C22×D79—81no—
723C22×D79C22×D411yescharacteristic
724Q8×C79—21no—
725Q8×C79—21no—
726Q8×C79—81no—
727D4×C79—21no—
728D4×C79—21no—
729D4×C79—21no—
730D4×C79—21no—
731D4×C79—21no—
732D4×C79—21no—
733D4×C79—41no—
734D4×C79—42no—
735D4×C79—81no—
736D4×C79—81no—
737D4×C79—81no—
738D4×C79—81no—
739C2×C4×C79—21no—
740C2×C4×C79—21no—
741C2×C4×C79—21no—
742C2×C4×C79—21no—
743C2×C4×C79—21no—
744C2×C4×C79—21no—
745C2×C4×C79—21no—
746C2×C4×C79—21no—
747C2×C4×C79—21no—
748C2×C4×C79—42no—
749C2×C4×C79—81no—
750C2×C4×C79—81no—
751C2×C4×C79—81no—
752C2×C4×C79—81no—
753C2×C4×C79C22×D411yescharacteristic
754C2×C4×C79C22×D411yescharacteristic
755C2×C4×C79C22×D411yescharacteristic
756C2×C4×C79C22×D411yescharacteristic
757C2×C4×C79C2511yescharacteristic
758C22⋊D79—41no—
759C22⋊D79—41no—
760C22⋊D79—42no—
761C22⋊D79—42no—
762C22⋊D79—81no—
763C22⋊D79—81no—
764C22⋊D79—81no—
765C22⋊D79—81no—
766C22⋊D79—81no—
767C22⋊D79—81no—
768C22⋊D79—81no—
769C22⋊D79—81no—
770C22⋊D79—81no—
771C22⋊D79—81no—
772C22⋊D79—81no—
773C2×Dic79—21no—
774C2×Dic79—21no—
775C2×Dic79—21no—
776C2×Dic79—21no—
777C2×Dic79—21no—
778C2×Dic79—41no—
779C2×Dic79—41no—
780C2×Dic79—81no—
781C2×Dic79—81no—
782C2×Dic79—81no—
783C2×Dic79C22×D411yescharacteristic
784C2×Dic79C22×D411yescharacteristic
785C2×Dic79C22×D411yescharacteristic
786C2×Dic79C22×D411yescharacteristic
787C2×Dic79C22×D411yescharacteristic
788C2×Dic79C22×D411yescharacteristic
789C2×Dic79C22×D411yescharacteristic
790D316—21no—
791D316—21no—
792D316—21no—
793D316—21no—
794D316—21no—
795D316—42no—
796D316—81no—
797D316—81no—
798D316H(5,𝔽2)12yes—
799C4×D79—21no—
800C4×D79—21no—
801C4×D79—42no—
802C4×D79—81no—
803C4×D79—81no—
804C4×D79—81no—
805C4×D79—81no—
806C4×D79—81no—
807C4×D79—81no—
808C4×D79—81no—
809C4×D79—81no—
810C4×D79—81no—
811C4×D79—81no—
812Dic158—21no—
813Dic158—21no—
814Dic158—21no—
815Dic158—21no—
816Dic158—21no—
817Dic158—21no—
818Dic158—41no—
819Dic158—81no—
820C8×C79—21no—
821C8×C79—21no—
822C8×C79—21no—
823C8×C79—21no—
824C79⋊C8—21no—
825C79⋊C8—21no—
826C79⋊C8—21no—
827C79⋊C8—21no—
828C22×C79—21no—
829C22×C79—21no—
830C22×C79—21no—
831C22×C79—21no—
832C22×C79—21no—
833C22×C79—21no—
834C22×C79—41no—
835C22×C79—41no—
836C22×C79—41no—
837C22×C79—41no—
838C22×C79—41no—
839C22×C79—41no—
840C22×C79—41no—
841C22×C79—41no—
842C22×C79—41no—
843C22×C79—162no—
844C22×C79C23×D411yescharacteristic
845C2×D79—21no—
846C2×D79—21no—
847C2×D79—22no—
848C2×D79—21no—
849C2×D79—41no—
850C2×D79—41no—
851C2×D79—41no—
852C2×D79—41no—
853C2×D79—41no—
854C2×D79—41no—
855C2×D79—41no—
856C2×D79—41no—
857C2×D79—84no—
858C2×D79—162no—
859C4×C79—21no—
860C4×C79—21no—
861C4×C79—21no—
862C4×C79—21no—
863C4×C79—41no—
864C4×C79—41no—
865C4×C79—41no—
866C4×C79—41no—
867C4×C79—41no—
868C4×C79C2×H(5,𝔽2)11yescharacteristic
869C4×C79#58511yescharacteristic
870Dic79—21no—
871Dic79—21no—
872Dic79—21no—
873Dic79—21no—
874Dic79—21no—
875Dic79—21no—
876Dic79—21no—
877Dic79—41no—
878Dic79—41no—
879Dic79—41no—
880Dic79—41no—
881Dic79—41no—
882#62027—791nomaximal, Sylow
883C2×C79—41no—
884C2×C79—41no—
885C2×C79—81no—
886C2×C79—81no—
887C2×C79—81no—
888C2×C79#348811yescharacteristic
889C2×C79#358411yescharacteristic
890C2×C79#358511yescharacteristic
891D79—41no—
892D79—42no—
893D79—81no—
894D79—81no—
895#3562—791no—
896#3513—791no—
897#3401—791no—
898#3396—791no—
899#3370—791no—
900#3360—791no—
901#3330—791no—
902#3327—791no—
903#3326—791no—
904#3317—791no—
905#3306D7911yescharacteristic, complemented
906#3297—791no—
907#3282—791no—
908#3274—791no—
909#3273—791no—
910#3273—791no—
911#3267—791no—
912#3265—791no—
913#3260—791no—
914#3257—791no—
915#3256—791no—
916#3225—791no—
917#3220—791no—
918#3212—791no—
919#3122—791no—
920#3120—791no—
921#3105—791no—
922#3045—791no—
923#3042—791no—
924#3036—791no—
925#2993—791no—
926C79#6202711yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—791no—
928C2×AGL(1,ℤ/8)—791no—
929C2×AGL(1,ℤ/8)—791no—
930C2×AGL(1,ℤ/8)—791no—
931C2×#135—791no—
932C22×SD16—791no—
933#562—1581no—
934#560—1581no—
935#559—791no—
936#559—791no—
937#556—791no—
938#554—791no—
939#553—791no—
940#553—1581no—
941#553—1581no—
942#552—791no—
943#551—1581no—
944#551—1581no—
945#551—1581no—
946#550—791no—
947#548—791no—
948#548—791no—
949#547—791no—
950#547C2×D7911yescharacteristic
951#546—791no—
952#546—791no—
953#546—791no—
954#546—1581no—
955#546C2×D7911yescharacteristic, complemented
956D42—791no—
957#542—791no—
958#541—791no—
959#540—791no—
960#540—791no—
961#540—1581no—
962#539—1581no—
963#539—1581no—
964#538—1581no—
965#538—1581no—
966#538—1581no—
967#536—791no—
968#535—791no—
969#532—791no—
970#529—791no—
971#529—791no—
972#529—791no—
973#525—1581no—
974C2×#123—1581no—
975#520—791no—
976#518—791no—
977C2×C4×D4—791no—
978#497—791no—
979#496—791no—
980#495—791no—
981#495—791no—
982#495—791no—
983#493—791no—
984#490—791no—
985#489C2×D7911yescharacteristic, complemented
986#488—791no—
987#488—791no—
988#488—791no—
989#487—791no—
990#484—791no—
991#484—791no—
992#483C2×D7911yescharacteristic, complemented
993#482—791no—
994#482—791no—
995#481C2×D7911yescharacteristic, complemented
996#479—791no—
997#479—791no—
998#479—791no—
999#479—791no—
1000#478—791no—
1001#478—791no—
1002#478—791no—
1003#478—791no—
1004#476C2×D7911yescharacteristic, complemented
1005#474—791no—
1006#470—791no—
1007#469—791no—
1008#469C2×D7911yescharacteristic
1009#468—791no—
1010#468—791no—
1011#468—791no—
1012#468—791no—
1013#468—791no—
1014#466—791no—
1015#465—791no—
1016#465—791no—
1017#465C2×D7911yescharacteristic, complemented
1018#464—791no—
1019#464—791no—
1020#464—791no—
1021#463—791no—
1022#463—791no—
1023#463—791no—
1024#463—791no—
1025#463—791no—
1026#463—791no—
1027#463—791no—
1028#463—791no—
1029#463—791no—
1030#463—791no—
1031#463—791no—
1032#463—791no—
1033#463C2×D7911yescharacteristic, complemented
1034#462—791no—
1035#461—791no—
1036#461—791no—
1037#461—791no—
1038#461—791no—
1039#461—791no—
1040#460—791no—
1041#460—791no—
1042#460—791no—
1043#460—791no—
1044#459—791no—
1045#459—791no—
1046#459—791no—
1047#459—791no—
1048#452—791no—
1049#452—791no—
1050#452—791no—
1051#452—791no—
1052#452—791no—
1053#451—791no—
1054#450—791no—
1055#449—791no—
1056#449—791no—
1057#449—791no—
1058#449—791no—
1059#449C2×D7911yescharacteristic
1060#448—791no—
1061#447—791no—
1062#447—791no—
1063#447—791no—
1064#447—791no—
1065#447C2×D7911yescharacteristic, complemented
1066#446—791no—
1067C8×Q8—791no—
1068#442—791no—
1069#442C2×D7911yescharacteristic, complemented
1070#441—791no—
1071#440—791no—
1072C4×Q16—791no—
1073C4×SD16—791no—
1074C4×SD16—791no—
1075C4×SD16—791no—
1076C4×D8—791no—
1077C4×D8—791no—
1078C4×D8—791no—
1079C4×D8—791no—
1080#436—791no—
1081#436—791no—
1082#436—791no—
1083#435—791no—
1084#435C2×D7911yescharacteristic, complemented
1085C8×D4—791no—
1086#433—791no—
1087#433—791no—
1088#431—791no—
1089#424—791no—
1090#424—791no—
1091#423—791no—
1092#419—791no—
1093#417—791no—
1094#417—791no—
1095#417C2×D7911yescharacteristic, complemented
1096#416—791no—
1097C2×#102C2×D7911yescharacteristic, complemented
1098C2×#41—21no—
1099C2×#41—791no—
1100C2×#41—791no—
1101C2×#41—791no—
1102C2×#41—791no—
1103C2×#41C22×D7911yescharacteristic
1104C22×Q8—791no—
1105C22×D4—791no—
1106C22×D4—791no—
1107C22×D4—1581no—
1108C22×D4C22×D7911yescharacteristic
1109C23×C4—1581no—
1110AGL(1,ℤ/8)—3162no—
1111AGL(1,ℤ/8)—3162no—
1112AGL(1,ℤ/8)—3162no—
1113AGL(1,ℤ/8)—3162no—
1114#135—3162no—
1115C2×Q16—791no—
1116C2×Q16—791no—
1117C2×Q16—791no—
1118C2×SD16—3162no—
1119C2×SD16—791no—
1120C2×SD16—791no—
1121C2×SD16—791no—
1122C2×SD16—791no—
1123C2×SD16—791no—
1124C2×SD16—791no—
1125C2×SD16—791no—
1126C2×SD16—791no—
1127C2×SD16—791no—
1128C2×SD16—791no—
1129C2×SD16—791no—
1130C2×SD16C22×D7911yescharacteristic
1131C2×D8—791no—
1132C2×D8—791no—
1133C2×D8—791no—
1134C2×D8—791no—
1135C2×D8—791no—
1136C2×D8—791no—
1137C2×D8—791no—
1138C2×D8C22×D7911yescharacteristic
1139C2×D8C22×D7911yescharacteristic
1140C2×M16—791no—
1141C2×M16—791no—
1142C2×M16—791no—
1143C2×M16C22×D7911yescharacteristic
1144C22×C8—791no—
1145C22×C8C22×D7911yescharacteristic
1146C4⋊Q8—791no—
1147C4⋊Q8—791no—
1148C4⋊Q8C22×D7911yescharacteristic
1149#127—791no—
1150#127—791no—
1151#127—791no—
1152#127—1581no—
1153#126—791no—
1154#126—791no—
1155#126—1581no—
1156#126—1581no—
1157#126—1581no—
1158#126—1581no—
1159#126—1581no—
1160#126—1581no—
1161#126—1581no—
1162#126—1581no—
1163#126—1581no—
1164#125—791no—
1165#125—791no—
1166#125—791no—
1167#125—791no—
1168#125—1581no—
1169#125—1581no—
1170#125—1581no—
1171#124—791no—
1172#124—791no—
1173#124—791no—
1174#124—791no—
1175#124—791no—
1176#124—791no—
1177#124—791no—
1178#124—1581no—
1179#124—1581no—
1180#124—1581no—
1181#124—1581no—
1182#124—1581no—
1183#124C22×D7911yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—791no—
1188#123—791no—
1189#123—1581no—
1190#123—1581no—
1191#123—1581no—
1192#123—1581no—
1193#123—1581no—
1194#123—1581no—
1195#123—1581no—
1196#123—1581no—
1197#123—1581no—
1198#123—1581no—
1199#123—1581no—
1200#123—1581no—
1201#123—1581no—
1202#123—1581no—
1203#123—1581no—
1204#123—1581no—
1205#123—1581no—
1206#123—1581no—
1207#123—1581no—
1208#123—1581no—
1209C22⋊Q8—21no—
1210C22⋊Q8—791no—
1211C22⋊Q8—791no—
1212C22⋊Q8—791no—
1213C22⋊Q8—791no—
1214C22⋊Q8—791no—
1215C22⋊Q8—1581no—
1216C22⋊Q8—1581no—
1217C22⋊Q8—1581no—
1218C22⋊Q8—1581no—
1219C22⋊Q8—1581no—
1220C22⋊Q8—1581no—
1221C22⋊Q8—1581no—
1222C22⋊Q8—1581no—
1223C22⋊Q8—1581no—
1224C22⋊Q8C22×D7911yescharacteristic
1225#121—21no—
1226#121—791no—
1227#121—791no—
1228#121—791no—
1229#121—791no—
1230#121—791no—
1231#121—1581no—
1232#121—1581no—
1233#121—1581no—
1234#121—1581no—
1235#121—1581no—
1236#121—1581no—
1237#121—1581no—
1238#121—1581no—
1239#121—1581no—
1240#121—1581no—
1241#121—1581no—
1242#121—1581no—
1243#121—1581no—
1244#121—1581no—
1245#121—1581no—
1246#121—1581no—
1247#121—1581no—
1248#121—1581no—
1249#121C22×D7911yescharacteristic
1250#121C22×D7911yescharacteristic
1251#121C22×D7911yescharacteristic
1252#120—21no—
1253#120—1581no—
1254#120—1581no—
1255#120—1581no—
1256#120—1581no—
1257#120—1581no—
1258#120—1581no—
1259#120—1581no—
1260C4×Q8—791no—
1261C4×Q8—791no—
1262C4×Q8—791no—
1263C4×Q8—791no—
1264C4×Q8—791no—
1265C4×Q8—791no—
1266C4×D4—791no—
1267C4×D4—791no—
1268C4×D4—791no—
1269C4×D4—791no—
1270C4×D4—791no—
1271C4×D4—791no—
1272C4×D4—791no—
1273C4×D4—791no—
1274C4×D4—791no—
1275C4×D4—791no—
1276C4×D4—791no—
1277C4×D4—1581no—
1278C4×D4—1581no—
1279C4×D4—1581no—
1280C4×D4—1581no—
1281C4×D4—1581no—
1282C4×D4—1581no—
1283C4×D4—1581no—
1284C4×D4—1581no—
1285C4×D4—1581no—
1286C4×D4—1581no—
1287C4×D4—1581no—
1288C4×D4—1581no—
1289C4×D4—1581no—
1290C4×D4—1581no—
1291C4×D4—1581no—
1292C4×D4—1581no—
1293C4×D4C22×D7911yescharacteristic
1294C4×D4C22×D7911yescharacteristic
1295C4×D4C22×D7911yescharacteristic
1296#117—791no—
1297#117—791no—
1298#117—791no—
1299#117—1581no—
1300#117—1581no—
1301#117—1581no—
1302#117—1581no—
1303#117—1581no—
1304C2×C4⋊C4—1581no—
1305C2×C4⋊C4—1581no—
1306C2×C4⋊C4—1581no—
1307C2×C4⋊C4C22×D7911yescharacteristic
1308C2×C4⋊C4C22×D7911yescharacteristic
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—1581no—
1311C2×C22⋊C4—1581no—
1312C2×C22⋊C4—1581no—
1313C2×C22⋊C4—1581no—
1314C2×C22⋊C4—1581no—
1315C2×C22⋊C4—1581no—
1316C2×C42—791no—
1317#107—791no—
1318#107—791no—
1319#107—791no—
1320#107—791no—
1321#106—791no—
1322#106C22×D7911yescharacteristic
1323#106C22×D7911yescharacteristic
1324#106C22×D7911yescharacteristic
1325C4⋊C8—791no—
1326C4⋊C8—791no—
1327C4⋊C8—791no—
1328C4⋊C8—791no—
1329C4⋊C8—791no—
1330C4⋊C8—791no—
1331C4⋊C8—791no—
1332C4⋊C8—791no—
1333C4⋊C8—791no—
1334C4⋊C8C22×D7911yescharacteristic
1335#103—791no—
1336#103—791no—
1337#103—791no—
1338#103—791no—
1339#103—791no—
1340#103—791no—
1341#103—791no—
1342#103—791no—
1343#103—791no—
1344#103—791no—
1345#103—791no—
1346#103C22×D7911yescharacteristic
1347#103C22×D7911yescharacteristic
1348#103C22×D7911yescharacteristic
1349#102—791no—
1350#102—791no—
1351#102—791no—
1352#102—791no—
1353#102—791no—
1354#102—791no—
1355#102—791no—
1356#102—791no—
1357#102—791no—
1358#102—791no—
1359#102—791no—
1360#102C22×D7911yescharacteristic
1361#102C22×D7911yescharacteristic
1362#102C22×D7911yescharacteristic
1363#102C22×D7911yescharacteristic
1364#102C22×D7911yescharacteristic
1365#102C22×D7911yescharacteristic
1366#102C22×D7911yescharacteristic
1367C22⋊C8—791no—
1368C22⋊C8—791no—
1369C22⋊C8—791no—
1370C22⋊C8—791no—
1371C22⋊C8C22×D7911yescharacteristic
1372C22⋊C8C22×D7911yescharacteristic
1373#97—791no—
1374#97C22×D7911yescharacteristic
1375C4×C8—791no—
1376C4×C8—791no—
1377C4×C8—791no—
1378C4×C8—791no—
1379C24—21no—
1380C24—1581no—
1381C24—1581no—
1382#41—41no—
1383#41—41no—
1384#41—82no—
1385#41—3161no—
1386#41—3161no—
1387#41—3161no—
1388#41—3161no—
1389#41—3161no—
1390#41—3161no—
1391#41—3161no—
1392#41—1582no—
1393C2×Q8—21no—
1394C2×Q8—3161no—
1395C2×Q8—3161no—
1396C2×Q8—791no—
1397C2×Q8—791no—
1398C2×Q8—791no—
1399C2×Q8—791no—
1400C2×Q8—1581no—
1401C2×Q8C23×D7911yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—3161no—
1410C2×D4—3161no—
1411C2×D4—791no—
1412C2×D4—791no—
1413C2×D4—791no—
1414C2×D4—791no—
1415C2×D4—791no—
1416C2×D4—6322no—
1417C2×D4—1582no—
1418C2×D4—1581no—
1419C2×D4—1581no—
1420C2×D4—1581no—
1421C2×D4—1581no—
1422C2×D4—1581no—
1423C2×D4—1581no—
1424C2×D4—1581no—
1425C2×D4—1581no—
1426C2×D4—1581no—
1427C2×D4—1582no—
1428C2×D4—1581no—
1429C2×D4—1581no—
1430C2×D4—1581no—
1431C2×D4—1581no—
1432C2×D4—1581no—
1433C2×D4—1581no—
1434C2×D4—1581no—
1435C2×D4D4×D7911yescharacteristic
1436C2×D4C23×D7911yescharacteristic
1437C2×D4C23×D7911yescharacteristic
1438C2×D4C23×D7911yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—791no—
1445C22×C4—791no—
1446C22×C4—791no—
1447C22×C4—6322no—
1448C22×C4—1581no—
1449C22×C4—1581no—
1450C22×C4—1581no—
1451C22×C4—1581no—
1452C22×C4—1581no—
1453C22×C4—1581no—
1454C22×C4—1581no—
1455C22×C4—1581no—
1456C22×C4—1581no—
1457C22×C4—1581no—
1458C22×C4—1581no—
1459C22×C4—1581no—
1460C22×C4—1581no—
1461C22×C4—1581no—
1462C22×C4C23×D7911yescharacteristic
1463C22×C4C23×D7911yescharacteristic
1464Q16—3161no—
1465Q16—3161no—
1466Q16—3161no—
1467SD16—41no—
1468SD16—3161no—
1469SD16—3161no—
1470SD16—3161no—
1471SD16—3161no—
1472SD16—3161no—
1473SD16—3161no—
1474SD16—3161no—
1475SD16—3161no—
1476SD16—1582no—
1477SD16—1582no—
1478SD16—1582no—
1479D8—41no—
1480D8—41no—
1481D8—3161no—
1482D8—3161no—
1483D8—3161no—
1484D8—3161no—
1485D8—1582no—
1486D8—1582no—
1487D8—1582no—
1488M16—41no—
1489M16—3161no—
1490M16—3161no—
1491M16—3161no—
1492C2×C8—41no—
1493C2×C8—3161no—
1494C2×C8—791no—
1495C2×C8—791no—
1496C2×C8—791no—
1497C2×C8—791no—
1498C2×C8C23×D7911yescharacteristic
1499C2×C8C23×D7911yescharacteristic
1500C2×C8C23×D7911yescharacteristic
1501C2×C8C23×D7911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—791no—
1507C4⋊C4—791no—
1508C4⋊C4—791no—
1509C4⋊C4—791no—
1510C4⋊C4—791no—
1511C4⋊C4—791no—
1512C4⋊C4—791no—
1513C4⋊C4—791no—
1514C4⋊C4—791no—
1515C4⋊C4—791no—
1516C4⋊C4—791no—
1517C4⋊C4—1581no—
1518C4⋊C4—1581no—
1519C4⋊C4—1581no—
1520C4⋊C4—1581no—
1521C4⋊C4—1581no—
1522C4⋊C4—1581no—
1523C4⋊C4—1581no—
1524C4⋊C4—1581no—
1525C4⋊C4—1581no—
1526C4⋊C4—1581no—
1527C4⋊C4—1581no—
1528C4⋊C4—1581no—
1529C4⋊C4—1581no—
1530C4⋊C4—1581no—
1531C4⋊C4—1581no—
1532C4⋊C4—1581no—
1533C4⋊C4—1581no—
1534C4⋊C4—1581no—
1535C4⋊C4—1581no—
1536C4⋊C4D4×D7911yescharacteristic
1537C4⋊C4C23×D7911yescharacteristic
1538C4⋊C4C23×D7911yescharacteristic
1539C4⋊C4C23×D7911yescharacteristic
1540C4⋊C4C23×D7911yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—791no—
1550C22⋊C4—791no—
1551C22⋊C4—791no—
1552C22⋊C4—791no—
1553C22⋊C4—791no—
1554C22⋊C4—791no—
1555C22⋊C4—791no—
1556C22⋊C4—791no—
1557C22⋊C4—1581no—
1558C22⋊C4—1581no—
1559C22⋊C4—1581no—
1560C22⋊C4—1581no—
1561C22⋊C4—1581no—
1562C22⋊C4—1581no—
1563C22⋊C4—1581no—
1564C22⋊C4—1581no—
1565C22⋊C4—1581no—
1566C22⋊C4—1581no—
1567C22⋊C4—1581no—
1568C22⋊C4—1581no—
1569C22⋊C4—1581no—
1570C22⋊C4—1581no—
1571C22⋊C4—1581no—
1572C22⋊C4—1581no—
1573C22⋊C4—1581no—
1574C22⋊C4—1581no—
1575C22⋊C4—1581no—
1576C22⋊C4—1581no—
1577C22⋊C4—1581no—
1578C22⋊C4—1581no—
1579C22⋊C4—1581no—
1580C22⋊C4—1581no—
1581C22⋊C4—1581no—
1582C22⋊C4—1581no—
1583C22⋊C4—1581no—
1584C22⋊C4—1581no—
1585C22⋊C4—1581no—
1586C22⋊C4—1581no—
1587C22⋊C4D4×D7911yescharacteristic
1588C22⋊C4D4×D7911yescharacteristic
1589C42—791no—
1590C42—791no—
1591C42—791no—
1592C42—791no—
1593C42—791no—
1594C42—1581no—
1595C42—1581no—
1596C42—1581no—
1597C42—1581no—
1598C42—1581no—
1599C42—1581no—
1600C42C23×D7911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—81no—
1605C23—81no—
1606C23—81no—
1607C23—3162no—
1608C23—3162no—
1609C23—3162no—
1610C23—791no—
1611C23—6321no—
1612C23—6321no—
1613C23—6321no—
1614C23—1581no—
1615C23—1581no—
1616C23—1581no—
1617C23C2×D4×D7911yescharacteristic
1618C23C2×D4×D7911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—81no—
1622Q8—3161no—
1623Q8—6321no—
1624Q8—1581no—
1625Q8—1581no—
1626Q8—1581no—
1627Q8—1581no—
1628Q8—1581no—
1629Q8—1581no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—41no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—3162no—
1643D4—3162no—
1644D4—3161no—
1645D4—3161no—
1646D4—3162no—
1647D4—792no—
1648D4—6321no—
1649D4—6321no—
1650D4—6321no—
1651D4—6321no—
1652D4—6321no—
1653D4—6321no—
1654D4—6321no—
1655D4—6321no—
1656D4—6321no—
1657D4—6321no—
1658D4—6321no—
1659D4—6321no—
1660D4—6321no—
1661D4—1581no—
1662D4—1581no—
1663D4—1581no—
1664D4—1581no—
1665D4—1581no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—3162no—
1681C2×C4—3161no—
1682C2×C4—3161no—
1683C2×C4—791no—
1684C2×C4—791no—
1685C2×C4—791no—
1686C2×C4—791no—
1687C2×C4—791no—
1688C2×C4—791no—
1689C2×C4—791no—
1690C2×C4—6321no—
1691C2×C4—6321no—
1692C2×C4—6321no—
1693C2×C4—6321no—
1694C2×C4—6321no—
1695C2×C4—6321no—
1696C2×C4—6321no—
1697C2×C4—6321no—
1698C2×C4—6321no—
1699C2×C4—6321no—
1700C2×C4—6321no—
1701C2×C4—6321no—
1702C2×C4—6321no—
1703C2×C4—1581no—
1704C2×C4—1581no—
1705C2×C4—1581no—
1706C2×C4—1581no—
1707C2×C4—1581no—
1708C2×C4—1581no—
1709C2×C4—1581no—
1710C2×C4C2×D4×D7911yescharacteristic
1711C2×C4C2×D4×D7911yescharacteristic
1712C2×C4C2×D4×D7911yescharacteristic
1713C2×C4C2×D4×D7911yescharacteristic
1714C2×C4C24×D7911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1581no—
1720C8—1581no—
1721C8—1581no—
1722C8—1581no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—162no—
1739C22—3161no—
1740C22—3161no—
1741C22—3161no—
1742C22—3161no—
1743C22—3161no—
1744C22—3161no—
1745C22—3161no—
1746C22—3161no—
1747C22—6324no—
1748C22—1582no—
1749C22—1581no—
1750C22—1581no—
1751C22—1581no—
1752C22—12642no—
1753C22C22×D4×D7911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—3161no—
1764C4—3161no—
1765C4—3161no—
1766C4—3161no—
1767C4—3161no—
1768C4—1581no—
1769C4—1581no—
1770C4—1581no—
1771C4—1581no—
1772C4—1581no—
1773C4—1581no—
1774C4—1581no—
1775C4H(5,𝔽2)×D7911yescharacteristic
1776C4#1909939911yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2—3162no—
1783C2—3161no—
1784C2—6321no—
1785C2—6321no—
1786C2#2377706311yescharacteristic
1787C2#2377817211yescharacteristic
1788C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3306C2
socleC22×C79C23×D4
hypercenter#3306D79
hypocenterC79#62027
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #23777982C2semidirect
2. #23777335C2semidirect
3. #23776471C2semidirect
4. #23776407C2semidirect
5. #23776152C2semidirect
6. #23776048C2semidirect
7. #23775699C2semidirect
8. #23775669C2semidirect
9. #23775656C2semidirect
10. #23775529C2semidirect
11. #23775246C2semidirect
12. #23775114C2semidirect
13. #23775017C2semidirect
14. #23775011C2semidirect
15. #23775007C2semidirect
16. #23774930C2semidirect
17. #23774898C2semidirect
18. #23774840C2semidirect
19. #23774810C2semidirect
20. #23774795C2semidirect
21. #23774510C2semidirect
22. #23774446C2semidirect
23. #23774373C2semidirect
24. #23773642C2semidirect
25. #23773617C2semidirect
26. #23773444C2semidirect
27. #23772944C2semidirect
28. #23772910C2semidirect
29. #23772863C2semidirect
30. #23772542C2semidirect
31. C79×#3306C2semidirect
32. C2×#14579189C22semidirect
37. C2×SD16×D79C22semidirect
40. #19099296C22semidirect
41. #19099295C22semidirect
42. #19099283C22semidirect
43. #19099274C22semidirect
47. #19099248C22semidirect
52. #19099223C22semidirect
54. #19099218C22semidirect
57. #19099207C22semidirect
59. #19099197C22semidirect
60. #19099187C22semidirect
61. #19099173C22semidirect
64. #19099164C22semidirect
70. #19099133C22semidirect
71. #19099130C22semidirect
72. #19099109C22semidirect
73. #19099094C22semidirect
74. #19099094C22semidirect
79. #19099035C22semidirect
80. C2×#14579123C22semidirect
81. #19098957C22semidirect
83. #19098946C22semidirect
84. #19098945C22semidirect
85. #19098944C22semidirect
87. #19098926C22semidirect
88. #19098919C22semidirect
89. #19098916C22semidirect
90. #19098916C22semidirect
91. #19098915C22semidirect
92. #19098898C22semidirect
93. #19098898C22semidirect
94. #19098889C22semidirect
95. #19098886C22semidirect
96. #19098873C22semidirect
97. #19098873C22semidirect
98. #19098873C22semidirect
99. #19098868C22semidirect
100. #19098865C22semidirect
101. #19098865C22semidirect
102. #19098862C22semidirect
103. #19098862C22semidirect
104. #19098840C22semidirect
105. #19098821C22semidirect
106. #19098817C22semidirect
107. #19098811C22semidirect
108. #19098808C22semidirect
109. #19098807C22semidirect
110. #19098807C22semidirect
111. #19098807C22semidirect
113. #19098793C22semidirect
114. #19098792C22semidirect
115. #19098784C22semidirect
116. #19098784C22semidirect
117. #19098784C22semidirect
118. #19098781C22semidirect
119. #19098781C22semidirect
120. #19098779C22semidirect
121. #19098778C22semidirect
125. #19098777C22semidirect
126. #19098777C22semidirect
127. #19098776C22semidirect
128. #19098776C22semidirect
130. #19098772C22semidirect
131. #19098769C22semidirect
132. #19098768C22semidirect
133. #19098767C22semidirect
134. #19098767C22semidirect
135. #19098766C22semidirect
136. #19098762C22semidirect
137. #19098762C22semidirect
138. #19098762C22semidirect
139. #19098761C22semidirect
142. #19098757C22semidirect
143. #19098756C22semidirect
145. #19098727C22semidirect
146. #19098726C22semidirect
147. #19098725C22semidirect
149. #19098720C22semidirect
150. #19098716C22semidirect
151. #19098710C22semidirect
153. #19098706C22semidirect
154. #19098706C22semidirect
155. #19098703C22semidirect
156. #19098698C22semidirect
157. #19098697C22semidirect
160. #19098691C22semidirect
161. #19098687C22semidirect
162. #19098676C22semidirect
163. #19098669C22semidirect
164. #19098666C22semidirect
165. #19098655C22semidirect
166. #19098650C22semidirect
167. #19098650C22semidirect
168. #19098650C22semidirect
170. C4×#11929609C22semidirect
172. #19098643C22semidirect
173. #19098641C22semidirect
174. #19098639C22semidirect
175. #19098638C22semidirect
176. #19098637C22semidirect
177. C8×C22⋊D79C22semidirect
178. #19098625C22semidirect
179. #19098621C22semidirect
180. #19098613C22semidirect
181. #19098589C22semidirect
182. #19098588C22semidirect
183. #19098586C22semidirect
184. #19098570C22semidirect
185. #19098562C22semidirect
186. #19098562C22semidirect
187. #19098556C22semidirect
189. #546×C79C22semidirect
190. #489×C79C22semidirect
191. #483×C79C22semidirect
192. #481×C79C22semidirect
193. #476×C79C22semidirect
195. #465×C79C22semidirect
196. #463×C79C22semidirect
198. #447×C79C22semidirect
199. #442×C79C22semidirect
200. #435×C79C22semidirect
201. #417×C79C22semidirect
202. C2×#102×C79C22semidirect
905. #3306D79semidirect
926. C79#62027semidirect
955. #546C2×D79semidirect
985. #489C2×D79semidirect
992. #483C2×D79semidirect
995. #481C2×D79semidirect
1004. #476C2×D79semidirect
1017. #465C2×D79semidirect
1033. #463C2×D79semidirect
1065. #447C2×D79semidirect
1069. #442C2×D79semidirect
1084. #435C2×D79semidirect
1095. #417C2×D79semidirect
1097. C2×#102C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779822
#237773352
#237764712
#237764072
#237761522
#237760482
#237756992
#237756692
#237756562
#237755292
#237752462
#237751142
#237750172
#237750112
#237750072
#237749302
#237748982
#237748402
#237748102
#237747952
#237745102
#237744462
#237743732
#237736422
#237736172
#237734442
#237729442
#237729102
#237728632
#237725422
C79×#33062
#6202779