Finite Group Databasebeta

← #35185477

Subgroups — #35185477

Order 20224.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778039C211yesmaximal, characteristic, complemented
2#23777341C211yesmaximal, characteristic, complemented
3#23776357C211yesmaximal, characteristic, complemented
4#23776273C211yesmaximal, characteristic, complemented
5#23776165C211yesmaximal, characteristic, complemented
6#23776057C211yesmaximal, characteristic, complemented
7#23775996C211yesmaximal, characteristic, complemented
8#23775958C211yesmaximal, characteristic, complemented
9#23775955C211yesmaximal, characteristic, complemented
10#23775925C211yesmaximal, characteristic, complemented
11#23775840C211yesmaximal, characteristic, complemented
12#23775800C211yesmaximal, characteristic, complemented
13#23775624C211yesmaximal, characteristic, complemented
14#23775602C211yesmaximal, characteristic, complemented
15#23775556C211yesmaximal, characteristic, complemented
16#23775542C211yesmaximal, characteristic, complemented
17#23775228C211yesmaximal, characteristic, complemented
18#23774859C211yesmaximal, characteristic, complemented
19#23774806C211yesmaximal, characteristic, complemented
20#23774802C211yesmaximal, characteristic, complemented
21#23774691C211yesmaximal, characteristic, complemented
22#23774657C211yesmaximal, characteristic, complemented
23#23774582C211yesmaximal, characteristic, complemented
24#23773670C211yesmaximal, characteristic, complemented
25#23773590C211yesmaximal, characteristic, complemented
26#23773448C211yesmaximal, characteristic, complemented
27#23773255C211yesmaximal, characteristic, complemented
28#23773230C211yesmaximal, characteristic, complemented
29#23773194C211yesmaximal, characteristic, complemented
30#23772546C211yesmaximal, characteristic, complemented
31C79×#3323C211yesmaximal, characteristic, complemented
32#19099315—21no—
33#19099310—21no—
34#19099295C2211yescharacteristic
35#19099292C2211yescharacteristic, complemented
36#19099284C2211yescharacteristic
37#19099281—21no—
38#19099278C2211yescharacteristic, complemented
39#19099270C2211yescharacteristic
40#19099269C2211yescharacteristic, complemented
41#19099265—21no—
42#19099265C2211yescharacteristic
43#19099261C2211yescharacteristic, complemented
44#19099257C2211yescharacteristic
45#19099255C2211yescharacteristic
46#19099251—21no—
47#19099247C2211yescharacteristic, complemented
48#19099239—21no—
49#19099236—21no—
50#19099217C2211yescharacteristic
51#19099201C2211yescharacteristic
52#19099200—21no—
53D4×C22⋊D79C2211yescharacteristic
54#19099194C2211yescharacteristic, complemented
55#19099193C2211yescharacteristic, complemented
56#19099186C2211yescharacteristic, complemented
57#19099185C2211yescharacteristic, complemented
58#19099184—21no—
59#19099182C2211yescharacteristic
60#19099179—21no—
61#19099172—21no—
62#19099166C2211yescharacteristic
63#19099157—21no—
64#19099156—21no—
65#19099150—21no—
66#19099116C2211yescharacteristic, complemented
67#19099099C2211yescharacteristic
68#19099099C2211yescharacteristic, complemented
69#19099093C2211yescharacteristic
70#19099069—21no—
71C2×#14579145—21no—
72#19099046C2211yescharacteristic
73#19099035C2211yescharacteristic
74C2×D4×Dic79C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098970C2211yescharacteristic, complemented
77#19098964C2211yescharacteristic, complemented
78#19098963C2211yescharacteristic, complemented
79#19098963C2211yescharacteristic, complemented
80#19098961C2211yescharacteristic, complemented
81#19098926C2211yescharacteristic
82#19098922C2211yescharacteristic, complemented
83#19098919C2211yescharacteristic, complemented
84#19098919C2211yescharacteristic, complemented
85#19098908C2211yescharacteristic
86#19098903C2211yescharacteristic, complemented
87#19098902C2211yescharacteristic, complemented
88#19098901C2211yescharacteristic, complemented
89#19098896C2211yescharacteristic, complemented
90#19098892C2211yescharacteristic, complemented
91#19098891C2211yescharacteristic, complemented
92#19098889C2211yescharacteristic, complemented
93#19098888C2211yescharacteristic
94#19098888C2211yescharacteristic, complemented
95#19098887C2211yescharacteristic
96#19098886C2211yescharacteristic
97#19098884C2211yescharacteristic, complemented
98#19098882C2211yescharacteristic, complemented
99#19098882C2211yescharacteristic, complemented
100#19098880C2211yescharacteristic
101#19098876C2211yescharacteristic, complemented
102#19098868C2211yescharacteristic, complemented
103#19098868C2211yescharacteristic, complemented
104#19098868C2211yescharacteristic, complemented
105#19098868C2211yescharacteristic, complemented
106#19098866C2211yescharacteristic, complemented
107#19098865C2211yescharacteristic
108#19098865C2211yescharacteristic
109#19098865C2211yescharacteristic
110#19098865C2211yescharacteristic, complemented
111#19098865C2211yescharacteristic, complemented
112#19098862C2211yescharacteristic, complemented
113#19098862C2211yescharacteristic, complemented
114#19098861C2211yescharacteristic
115#19098861C2211yescharacteristic, complemented
116#19098860C2211yescharacteristic, complemented
117#19098858C2211yescharacteristic, complemented
118#19098856C2211yescharacteristic, complemented
119#19098856C2211yescharacteristic, complemented
120#19098854C2211yescharacteristic, complemented
121#19098852C2211yescharacteristic, complemented
122#19098851C2211yescharacteristic
123#19098851C2211yescharacteristic, complemented
124#19098846C2211yescharacteristic, complemented
125#19098844C2211yescharacteristic, complemented
126#19098843C2211yescharacteristic
127#19098842C2211yescharacteristic, complemented
128#19098841C2211yescharacteristic
129#19098841C2211yescharacteristic
130#19098841C2211yescharacteristic, complemented
131#19098816C2211yescharacteristic
132#19098816C2211yescharacteristic, complemented
133#19098812C2211yescharacteristic, complemented
134#19098811C2211yescharacteristic
135#19098811C2211yescharacteristic, complemented
136#19098806C2211yescharacteristic
137#19098801C2211yescharacteristic, complemented
138#19098798C2211yescharacteristic
139#19098797C2211yescharacteristic, complemented
140#19098794C2211yescharacteristic, complemented
141#19098787C2211yescharacteristic, complemented
142#19098787C2211yescharacteristic, complemented
143#19098781C2211yescharacteristic, complemented
144#19098781C2211yescharacteristic, complemented
145#19098780C2211yescharacteristic
146#19098780C2211yescharacteristic, complemented
147#19098775C2211yescharacteristic, complemented
148#19098761C2211yescharacteristic
149#19098757C2211yescharacteristic
150#19098712C2211yescharacteristic
151#19098708C2211yescharacteristic
152#19098698C2211yescharacteristic
153#19098697C2211yescharacteristic
154#19098692C2211yescharacteristic, complemented
155C8×Dic158C2211yescharacteristic, complemented
156#19098673C2211yescharacteristic
157#19098672C2211yescharacteristic
158#19098670C2211yescharacteristic, complemented
159#19098661C2211yescharacteristic, complemented
160SD16×Dic79C2211yescharacteristic
161SD16×Dic79C2211yescharacteristic
162SD16×Dic79C2211yescharacteristic, complemented
163#19098648C2211yescharacteristic, complemented
164C4×D632C2211yescharacteristic, complemented
165#19098643C2211yescharacteristic
166#19098643C2211yescharacteristic, complemented
167#19098639C2211yescharacteristic, complemented
168#19098638C2211yescharacteristic
169#19098635C2211yescharacteristic, complemented
170#19098632C2211yescharacteristic
171(C22⋊D79)⋊C8C2211yescharacteristic, complemented
172#19098622C2211yescharacteristic, complemented
173#19098621C2211yescharacteristic, complemented
174#19098613C2211yescharacteristic, complemented
175#19098606C2211yescharacteristic, complemented
176#19098605C2211yescharacteristic, complemented
177#19098605C2211yescharacteristic, complemented
178#19098604C2211yescharacteristic, complemented
179#19098598C2211yescharacteristic, complemented
180C2×#14579094C2211yescharacteristic, complemented
181#19098591C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183#19098586C2211yescharacteristic, complemented
184#19098568C2211yescharacteristic
185#19098566C2211yescharacteristic
186#19098559C2211yescharacteristic
187#102×D79C2211yescharacteristic
188#552×C79C2211yescharacteristic, complemented
189#546×C79C2211yescharacteristic
190#488×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#481×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic
194#470×C79C2211yescharacteristic, complemented
195#468×C79C2211yescharacteristic, complemented
196#464×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic
198#450×C79C2211yescharacteristic
199C4×SD16×C79C2211yescharacteristic
200#436×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic
202#417×C79C2211yescharacteristic
203C2×#11929623—21no—
204C22×C22⋊D79—21no—
205C2×D4×D79C2311yescharacteristic
206C23×Dic79—21no—
207C2×#11929611C2311yescharacteristic
208C2×#11929611C2311yescharacteristic
209C2×D632C2311yescharacteristic
210C2×#11929609C2311yescharacteristic
211C2×#11929609C2311yescharacteristic
212C2×#11929608C2311yescharacteristic
213C2×#11929607C2311yescharacteristic
214C22×C79⋊C8C2311yescharacteristic
215C2×C8×D79C2311yescharacteristic
216#14579161—21no—
217#14579161C2311yescharacteristic
218#14579161C2311yescharacteristic
219#14579160—21no—
220#14579160—21no—
221#14579160C2311yescharacteristic
222#14579160C2311yescharacteristic
223#14579160C2311yescharacteristic
224#14579157C2311yescharacteristic
225#14579156—21no—
226#14579156—21no—
227#14579156—21no—
228#14579156—21no—
229#14579156—21no—
230#14579156—21no—
231#14579156D411yescharacteristic
232#14579155—21no—
233#14579155—21no—
234#14579154—21no—
235#14579154—21no—
236#14579154—21no—
237#14579154—21no—
238#14579154D411yescharacteristic
239#14579152—21no—
240#14579152—21no—
241#14579152—21no—
242#14579152—21no—
243#14579152C2311yescharacteristic
244#14579152C2311yescharacteristic
245#14579152C2311yescharacteristic
246#14579152C2311yescharacteristic
247#14579152C2311yescharacteristic
248#14579152C2311yescharacteristic
249#14579151—21no—
250#14579151—21no—
251#14579151D411yescharacteristic
252#14579150C2311yescharacteristic
253#14579150C2311yescharacteristic
254#14579149—21no—
255#14579147—21no—
256#14579147—21no—
257#14579147—21no—
258#14579147—21no—
259#14579147—21no—
260#14579147—21no—
261#14579147D411yescharacteristic
262#14579146—21no—
263#14579146—21no—
264#14579145—21no—
265#14579145—21no—
266#14579145—21no—
267#14579145—21no—
268#14579145—21no—
269#14579145—21no—
270#14579145—21no—
271#14579145—21no—
272#14579145—21no—
273#14579145D411yescharacteristic
274#14579144—21no—
275#14579143—21no—
276#14579143—21no—
277#14579143—21no—
278#14579143—21no—
279#14579143—21no—
280#14579142D411yescharacteristic
281#14579141—21no—
282#14579141—21no—
283#14579141—21no—
284#14579141—21no—
285#14579140—21no—
286#14579140—21no—
287#14579140—21no—
288#14579139—21no—
289#14579139—21no—
290#14579139—21no—
291#14579139—21no—
292#14579138—21no—
293#14579138—21no—
294#14579138—21no—
295#14579138—21no—
296#14579138—21no—
297#14579138D411yescharacteristic
298#14579137C2311yescharacteristic
299#14579137C2311yescharacteristic
300#14579136C2311yescharacteristic
301#14579135—21no—
302#14579135C2311yescharacteristic
303#14579135C2311yescharacteristic
304#14579135C2311yescharacteristic
305#14579135C2311yescharacteristic
306#14579134—21no—
307#14579133—21no—
308#14579133—21no—
309#14579133—21no—
310#14579133—21no—
311#14579133D411yescharacteristic
312#14579132—21no—
313#14579132—21no—
314#14579132C2311yescharacteristic
315#14579130—21no—
316#14579129—21no—
317#14579129—21no—
318Q8×Dic79C2311yescharacteristic
319Q8×Dic79C2311yescharacteristic
320Q8×Dic79C2311yescharacteristic
321Q8×Dic79C2311yescharacteristic
322C4×Dic158—21no—
323C4×Dic158—21no—
324C4×Dic158—21no—
325C4×Dic158C2311yescharacteristic
326#14579126—21no—
327C4×D316—21no—
328C4×D316C2311yescharacteristic
329C4×D316C2311yescharacteristic
330D4×Dic79—21no—
331D4×Dic79—21no—
332D4×Dic79—21no—
333D4×Dic79—21no—
334D4×Dic79—21no—
335D4×Dic79C2311yescharacteristic
336D4×Dic79C2311yescharacteristic
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic
339D4×Dic79C2311yescharacteristic
340#14579123C2311yescharacteristic
341#14579123C2311yescharacteristic
342#14579123C2311yescharacteristic
343C4×C22⋊D79—21no—
344C4×C22⋊D79—21no—
345C4×C22⋊D79C2311yescharacteristic
346C4×C22⋊D79C2311yescharacteristic
347(C22⋊D79)⋊C4—21no—
348(C22⋊D79)⋊C4—21no—
349(C22⋊D79)⋊C4—21no—
350(C22⋊D79)⋊C4—21no—
351#14579120—21no—
352#14579120C2311yescharacteristic
353#14579120C2311yescharacteristic
354#14579120C2311yescharacteristic
355#14579119—21no—
356#14579119—21no—
357#14579119—21no—
358#14579119—21no—
359#14579119C2311yescharacteristic
360#14579119C2311yescharacteristic
361#14579118C2311yescharacteristic
362#14579117—21no—
363C2×C4⋊Dic79—21no—
364C2×C4⋊Dic79—21no—
365C2×C4⋊Dic79C2311yescharacteristic
366C2×C4⋊Dic79C2311yescharacteristic
367C4⋊C4×D79—21no—
368C4⋊C4×D79C2311yescharacteristic
369C2×C22⋊Dic79—21no—
370C2×(C2×D79)⋊C4—21no—
371C2×(C2×D79)⋊C4—21no—
372C22⋊C4×D79—21no—
373C2×C4×Dic79C2311yescharacteristic
374#14579095C2311yescharacteristic
375#14579095C2311yescharacteristic
376#14579095C2311yescharacteristic
377#14579094C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579094C2311yescharacteristic
385#14579093C2311yescharacteristic
386#14579093C2311yescharacteristic
387#14579093C2311yescharacteristic
388#14579093C2311yescharacteristic
389#14579093C2311yescharacteristic
390#14579093C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404#14579085C2311yescharacteristic
405#14579085C2311yescharacteristic
406#14579085C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579081C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426C22⋊(C79⋊C8)C2311yescharacteristic
427C22⋊(C79⋊C8)C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430#14579072C2311yescharacteristic
431#14579071C2311yescharacteristic
432C8×Dic79C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C2×#41×C79C2311yescharacteristic
436C22×D4×C79C2311yescharacteristic
437C2×Q16×C79C2311yescharacteristic
438C2×SD16×C79C2311yescharacteristic
439C2×SD16×C79C2311yescharacteristic
440C2×M16×C79C2311yescharacteristic
441C2×M16×C79C2311yescharacteristic
442#126×C79—21no—
443#125×C79—21no—
444#125×C79C2311yescharacteristic
445#124×C79C2311yescharacteristic
446#123×C79—21no—
447#123×C79—21no—
448C22⋊Q8×C79C2311yescharacteristic
449C22⋊Q8×C79C2311yescharacteristic
450C22⋊Q8×C79C2311yescharacteristic
451#121×C79—21no—
452#121×C79C2311yescharacteristic
453#120×C79—21no—
454C4×Q8×C79C2311yescharacteristic
455C4×D4×C79C2311yescharacteristic
456C4×D4×C79C2311yescharacteristic
457#117×C79—21no—
458#117×C79C2311yescharacteristic
459C2×C4⋊C4×C79C2311yescharacteristic
460C2×C22⋊C4×C79—21no—
461#107×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465#103×C79C2311yescharacteristic
466#103×C79C2311yescharacteristic
467#103×C79C2311yescharacteristic
468#103×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476C22⋊C8×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79—21no—
479#11929623—82no—
480C2×Dic158—21no—
481C2×Dic158—21no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158C2×D411yescharacteristic
486C2×D316—21no—
487C2×D316C2411yescharacteristic
488C2×D316C2411yescharacteristic
489C2×C22⋊D79—21no—
490C2×C22⋊D79—21no—
491C2×C22⋊D79—21no—
492C2×C22⋊D79—21no—
493C2×C22⋊D79—21no—
494C2×C22⋊D79—21no—
495C2×C22⋊D79—21no—
496C2×C22⋊D79—21no—
497C2×C22⋊D79—82no—
498C2×C22⋊D79C2×D411yescharacteristic
499C2×C22⋊D79C2×D411yescharacteristic
500D4×D79—22no—
501D4×D79—41no—
502C22×Dic79—21no—
503C22×Dic79—21no—
504C22×Dic79—21no—
505C22×Dic79—21no—
506C22×Dic79—21no—
507C22×Dic79—21no—
508C22×Dic79—21no—
509C22×Dic79—82no—
510C22×Dic79C2×D411yescharacteristic
511C22×Dic79C2×D411yescharacteristic
512C2×C4×D79—21no—
513C2×C4×D79—21no—
514C2×C4×D79—21no—
515C2×C4×D79—21no—
516C2×C4×D79—21no—
517C2×C4×D79—21no—
518C2×C4×D79C2411yescharacteristic
519#11929611—41no—
520#11929611—41no—
521D632—41no—
522#11929609—22no—
523#11929609—41no—
524#11929608—41no—
525#11929607—41no—
526C2×C79⋊C8—41no—
527C2×C79⋊C8C2411yescharacteristic
528C2×C79⋊C8C2411yescharacteristic
529C2×C79⋊C8C2411yescharacteristic
530C2×C79⋊C8C2411yescharacteristic
531C8×D79—41no—
532C4⋊Dic79—21no—
533C4⋊Dic79—21no—
534C4⋊Dic79—21no—
535C4⋊Dic79—21no—
536C4⋊Dic79—21no—
537C4⋊Dic79—21no—
538C4⋊Dic79—21no—
539C4⋊Dic79—21no—
540C4⋊Dic79—21no—
541C4⋊Dic79—21no—
542C4⋊Dic79—21no—
543C4⋊Dic79—21no—
544C4⋊Dic79—21no—
545C4⋊Dic79—21no—
546C4⋊Dic79C2×D411yescharacteristic
547C4⋊Dic79C2×D411yescharacteristic
548C4⋊Dic79C2×D411yescharacteristic
549C4⋊Dic79C2411yescharacteristic
550C4⋊Dic79C2411yescharacteristic
551C4⋊Dic79C2411yescharacteristic
552C4⋊Dic79C2411yescharacteristic
553C4⋊Dic79C2411yescharacteristic
554C4⋊Dic79C2411yescharacteristic
555Dic79⋊C4—21no—
556Dic79⋊C4—21no—
557Dic79⋊C4—21no—
558Dic79⋊C4—21no—
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4—21no—
567Dic79⋊C4C2×D411yescharacteristic
568Dic79⋊C4C2×D411yescharacteristic
569Dic79⋊C4C2×D411yescharacteristic
570Dic79⋊C4C2×D411yescharacteristic
571Dic79⋊C4C2×D411yescharacteristic
572Dic79⋊C4C2×D411yescharacteristic
573C22⋊Dic79—21no—
574C22⋊Dic79—21no—
575C22⋊Dic79—21no—
576C22⋊Dic79—21no—
577C22⋊Dic79—21no—
578C22⋊Dic79—21no—
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79C2×D411yescharacteristic
582C22⋊Dic79C2×D411yescharacteristic
583C22⋊Dic79C2×D411yescharacteristic
584C22⋊Dic79C2×D411yescharacteristic
585(C2×D79)⋊C4—21no—
586(C2×D79)⋊C4—21no—
587(C2×D79)⋊C4—21no—
588(C2×D79)⋊C4—21no—
589(C2×D79)⋊C4—21no—
590(C2×D79)⋊C4—21no—
591(C2×D79)⋊C4—21no—
592(C2×D79)⋊C4—21no—
593(C2×D79)⋊C4—21no—
594(C2×D79)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4—21no—
601(C2×D79)⋊C4—21no—
602(C2×D79)⋊C4—21no—
603(C2×D79)⋊C4C2×D411yescharacteristic
604(C2×D79)⋊C4C2×D411yescharacteristic
605(C2×D79)⋊C4C2×D411yescharacteristic
606(C2×D79)⋊C4C2×D411yescharacteristic
607C4×Dic79—21no—
608C4×Dic79—21no—
609C4×Dic79—21no—
610C4×Dic79—21no—
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79—21no—
614C4×Dic79—21no—
615C4×Dic79C2×D411yescharacteristic
616C4×Dic79C2×D411yescharacteristic
617C4×Dic79C2411yescharacteristic
618C4×Dic79C2411yescharacteristic
619C4×Dic79C2411yescharacteristic
620C24×C79—21no—
621#41×C79—22no—
622#41×C79—41no—
623C2×Q8×C79C2411yescharacteristic
624C2×Q8×C79C2411yescharacteristic
625C2×D4×C79—22no—
626C2×D4×C79—21no—
627C2×D4×C79—21no—
628C2×D4×C79—21no—
629C2×D4×C79—41no—
630C2×D4×C79C2×D411yescharacteristic
631C2×D4×C79C2411yescharacteristic
632C2×D4×C79C2411yescharacteristic
633C22×C4×C79—21no—
634C22×C4×C79—21no—
635C22×C4×C79—21no—
636C22×C4×C79C2411yescharacteristic
637C22×C4×C79C2411yescharacteristic
638Q16×C79—41no—
639SD16×C79—22no—
640SD16×C79—41no—
641M16×C79—41no—
642M16×C79—41no—
643C2×C8×C79C2411yescharacteristic
644C2×C8×C79C2411yescharacteristic
645C2×C8×C79C2411yescharacteristic
646C2×C8×C79C2411yescharacteristic
647C4⋊C4×C79—21no—
648C4⋊C4×C79—21no—
649C4⋊C4×C79—21no—
650C4⋊C4×C79—21no—
651C4⋊C4×C79—21no—
652C4⋊C4×C79—21no—
653C4⋊C4×C79—21no—
654C4⋊C4×C79C2×D411yescharacteristic
655C4⋊C4×C79C2411yescharacteristic
656C4⋊C4×C79C2411yescharacteristic
657C4⋊C4×C79C2411yescharacteristic
658C4⋊C4×C79C2411yescharacteristic
659C22⋊C4×C79—21no—
660C22⋊C4×C79—21no—
661C22⋊C4×C79—21no—
662C22⋊C4×C79—21no—
663C22⋊C4×C79—21no—
664C22⋊C4×C79—21no—
665C22⋊C4×C79—21no—
666C22⋊C4×C79—21no—
667C22⋊C4×C79C2×D411yescharacteristic
668C22⋊C4×C79C2×D411yescharacteristic
669C42×C79—21no—
670C42×C79—21no—
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—42no—
675C23×C79—42no—
676C23×C79—81no—
677C23×C79C22×D411yescharacteristic
678C23×C79C22×D411yescharacteristic
679C22×D79—21no—
680C22×D79—21no—
681C22×D79—42no—
682C22×D79—81no—
683C22×D79—81no—
684C22×D79C22×D411yescharacteristic
685Q8×C79—21no—
686Q8×C79—21no—
687Q8×C79—21no—
688Q8×C79—21no—
689D4×C79—21no—
690D4×C79—21no—
691D4×C79—21no—
692D4×C79—41no—
693D4×C79—42no—
694D4×C79—42no—
695D4×C79—81no—
696D4×C792−1+412yes—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—42no—
708C2×C4×C79—81no—
709C2×C4×C79—81no—
710C2×C4×C79C22×D411yescharacteristic
711C2×C4×C79C22×D411yescharacteristic
712C2×C4×C79C22×D411yescharacteristic
713C2×C4×C79C22×D411yescharacteristic
714C2×C4×C79C2511yescharacteristic
715C22⋊D79—41no—
716C22⋊D79—41no—
717C22⋊D79—42no—
718C22⋊D79—42no—
719C22⋊D79—81no—
720C22⋊D79—81no—
721C22⋊D79—81no—
722C22⋊D79—81no—
723C22⋊D79—81no—
724C22⋊D79—81no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—41no—
732C2×Dic79—41no—
733C2×Dic79—42no—
734C2×Dic79—81no—
735C2×Dic79—81no—
736C2×Dic79—81no—
737C2×Dic79—81no—
738C2×Dic79—81no—
739C2×Dic79—81no—
740C2×Dic79C22×D411yescharacteristic
741C2×Dic79C22×D411yescharacteristic
742C2×Dic79C22×D411yescharacteristic
743C2×Dic79C22×D411yescharacteristic
744C2×Dic79C22×D411yescharacteristic
745C2×Dic79C22×D411yescharacteristic
746C2×Dic79C22×D411yescharacteristic
747D316—21no—
748D316—21no—
749D316—21no—
750D316—21no—
751D316—81no—
752C4×D79—21no—
753C4×D79—21no—
754C4×D79—81no—
755C4×D79—81no—
756C4×D79—81no—
757C4×D79—81no—
758C4×D79—81no—
759C4×D79—81no—
760Dic158—41no—
761Dic158—81no—
762Dic158—81no—
763Dic158—81no—
764Dic158—81no—
765Dic158—81no—
766C8×C79—21no—
767C8×C79—21no—
768C8×C79—21no—
769C8×C79—21no—
770C79⋊C8—21no—
771C79⋊C8—21no—
772C79⋊C8—21no—
773C79⋊C8—21no—
774C22×C79—21no—
775C22×C79—21no—
776C22×C79—21no—
777C22×C79—21no—
778C22×C79—22no—
779C22×C79—21no—
780C22×C79—21no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—41no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79—84no—
787C22×C79C23×D411yescharacteristic
788C2×D79—21no—
789C2×D79—21no—
790C2×D79—21no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—41no—
797C2×D79—162no—
798C4×C79—21no—
799C4×C79—21no—
800C4×C79—21no—
801C4×C79—21no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79C2×2−1+411yescharacteristic
809C4×C79#58511yescharacteristic
810Dic79—21no—
811Dic79—21no—
812Dic79—21no—
813Dic79—21no—
814Dic79—21no—
815Dic79—21no—
816Dic79—21no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823#62175—791nomaximal, Sylow
824C2×C79—42no—
825C2×C79—41no—
826C2×C79—41no—
827C2×C79—81no—
828C2×C79#348911yescharacteristic
829C2×C79#358411yescharacteristic
830C2×C79#358511yescharacteristic
831D79—41no—
832D79—81no—
833D79—81no—
834#3565—791no—
835#3513—791no—
836#3389—791no—
837#3381—791no—
838#3371—791no—
839#3361—791no—
840#3354—791no—
841#3351—791no—
842#3351—791no—
843#3349—791no—
844#3343—791no—
845#3339—791no—
846#3324—791no—
847#3323D7911yescharacteristic, complemented
848#3322—791no—
849#3319—791no—
850#3318—791no—
851#3296—791no—
852#3262—791no—
853#3257—791no—
854#3256—791no—
855#3244—791no—
856#3241—791no—
857#3233—791no—
858#3125—791no—
859#3118—791no—
860#3105—791no—
861#3083—791no—
862#3081—791no—
863#3077—791no—
864#2993—791no—
865C79#6217511yescharacteristic, complemented, Sylow
866#563—1581no—
867#562—1581no—
868#559—791no—
869#557—791no—
870#556—791no—
871#556—1581no—
872#555—791no—
873#554—791no—
874#554—791no—
875#553—791no—
876#553—791no—
877#553—791no—
878#553—1581no—
879#552—791no—
880#552—791no—
881#552—1581no—
882#552C2×D7911yescharacteristic, complemented
883#551—1581no—
884#551—1581no—
885#547—791no—
886#546—791no—
887#546—1581no—
888#546C2×D7911yescharacteristic
889D42—791no—
890#544—791no—
891#544—791no—
892#542—791no—
893#542—791no—
894#542—791no—
895#542—1581no—
896#542—1581no—
897#541—1581no—
898#540—791no—
899#539—1581no—
900#539—1581no—
901#538—1581no—
902#533—791no—
903#529—791no—
904#529—791no—
905#529—791no—
906#525—1581no—
907C2×#123—1581no—
908#520—791no—
909#518—791no—
910C2×C4×D4—791no—
911#501—791no—
912#501—791no—
913#499—791no—
914#499—791no—
915#499—791no—
916#498—791no—
917#490—791no—
918#489—791no—
919#488—791no—
920#488—791no—
921#488C2×D7911yescharacteristic, complemented
922#486—791no—
923#485—791no—
924#485—791no—
925#485—791no—
926#485C2×D7911yescharacteristic, complemented
927#484—791no—
928#483—791no—
929#483—791no—
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#482—791no—
935#482—791no—
936#481—791no—
937#481—791no—
938#481—791no—
939#481C2×D7911yescharacteristic, complemented
940#480—791no—
941#479—791no—
942#479—791no—
943#479—791no—
944#479—791no—
945#478—791no—
946#478—791no—
947#478—791no—
948#478—791no—
949#478—791no—
950#478—791no—
951#478—791no—
952#478—791no—
953#478—791no—
954#478—791no—
955#478—791no—
956#478C2×D7911yescharacteristic
957#477—791no—
958#477—791no—
959#477—791no—
960#476—791no—
961#476—791no—
962#476—791no—
963#476—791no—
964#475—791no—
965#474—791no—
966#474—791no—
967#474—791no—
968#474—791no—
969#474—791no—
970#474—791no—
971#470C2×D7911yescharacteristic, complemented
972#469—791no—
973#469—791no—
974#468—791no—
975#468—791no—
976#468—791no—
977#468—791no—
978#468C2×D7911yescharacteristic, complemented
979#467—791no—
980#466—791no—
981#466—791no—
982#465—791no—
983#464—791no—
984#464—791no—
985#464C2×D7911yescharacteristic, complemented
986#463—791no—
987#463—791no—
988#463—791no—
989#463—791no—
990#463—791no—
991#460—791no—
992#459—791no—
993#452C2×D7911yescharacteristic
994#450—791no—
995#450C2×D7911yescharacteristic
996#449—791no—
997#447—791no—
998#447—791no—
999#446—791no—
1000C8×Q8—791no—
1001#442—791no—
1002#442—791no—
1003#441—791no—
1004#440—791no—
1005C4×SD16—791no—
1006C4×SD16—791no—
1007C4×SD16—791no—
1008C4×SD16—791no—
1009C4×SD16C2×D7911yescharacteristic
1010C4×D8—791no—
1011C4×D8—791no—
1012C4×D8—791no—
1013#436—791no—
1014#436—791no—
1015#436C2×D7911yescharacteristic, complemented
1016#435—791no—
1017#435—791no—
1018C8×D4—791no—
1019#433—791no—
1020#433—791no—
1021#431—791no—
1022#428—791no—
1023#428—791no—
1024#428—791no—
1025#428—791no—
1026#427—791no—
1027C2×#107—791no—
1028#424—791no—
1029#424—791no—
1030#423—791no—
1031#418—791no—
1032#418—791no—
1033#418C2×D7911yescharacteristic
1034#417C2×D7911yescharacteristic
1035#416—791no—
1036C2×#102—791no—
1037C2×#41—1581no—
1038C2×#41C22×D7911yescharacteristic
1039C22×D4—791no—
1040C22×D4—1581no—
1041C22×D4C22×D7911yescharacteristic
1042C23×C4—1581no—
1043C2×Q16C22×D7911yescharacteristic
1044C2×SD16—791no—
1045C2×SD16—791no—
1046C2×SD16C22×D7911yescharacteristic
1047C2×SD16C22×D7911yescharacteristic
1048C2×D8—791no—
1049C2×D8—791no—
1050C2×D8—791no—
1051C2×M16—791no—
1052C2×M16—791no—
1053C2×M16C22×D7911yescharacteristic
1054C2×M16C22×D7911yescharacteristic
1055C22×C8—791no—
1056C22×C8—791no—
1057C4⋊Q8—791no—
1058C4⋊Q8—791no—
1059C4⋊Q8—791no—
1060C4⋊Q8—791no—
1061C4⋊Q8—791no—
1062C4⋊Q8—1581no—
1063C4⋊Q8—1581no—
1064C4⋊Q8—1581no—
1065#127—791no—
1066#126—21no—
1067#126—791no—
1068#126—791no—
1069#126—1581no—
1070#126—1581no—
1071#126—1581no—
1072#126—1581no—
1073#126—1581no—
1074#126—1581no—
1075#126—1581no—
1076#126—1581no—
1077#126—1581no—
1078#126—1581no—
1079#126—1581no—
1080#126—1581no—
1081#125—21no—
1082#125—791no—
1083#125—791no—
1084#125—791no—
1085#125—791no—
1086#125—791no—
1087#125—791no—
1088#125—791no—
1089#125—1581no—
1090#125—1581no—
1091#125—1581no—
1092#125—1581no—
1093#125—1581no—
1094#125—1581no—
1095#125C22×D7911yescharacteristic
1096#124—791no—
1097#124—791no—
1098#124—791no—
1099#124—1581no—
1100#124—1581no—
1101#124—1581no—
1102#124—1581no—
1103#124—1581no—
1104#124—1581no—
1105#124—1581no—
1106#124C22×D7911yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—791no—
1110#123—791no—
1111#123—1581no—
1112#123—1581no—
1113#123—1581no—
1114#123—1581no—
1115#123—1581no—
1116#123—1581no—
1117#123—1581no—
1118#123—1581no—
1119#123—1581no—
1120#123—1581no—
1121#123—1581no—
1122#123—1581no—
1123#123—1581no—
1124#123—1581no—
1125#123—1581no—
1126#123—1581no—
1127#123—1581no—
1128C22⋊Q8—791no—
1129C22⋊Q8—791no—
1130C22⋊Q8—791no—
1131C22⋊Q8—1581no—
1132C22⋊Q8—1581no—
1133C22⋊Q8—1581no—
1134C22⋊Q8—1581no—
1135C22⋊Q8—1581no—
1136C22⋊Q8—1581no—
1137C22⋊Q8—1581no—
1138C22⋊Q8—1581no—
1139C22⋊Q8—1581no—
1140C22⋊Q8—1581no—
1141C22⋊Q8—1581no—
1142C22⋊Q8—1581no—
1143C22⋊Q8—1581no—
1144C22⋊Q8—1581no—
1145C22⋊Q8—1581no—
1146C22⋊Q8—1581no—
1147C22⋊Q8C22×D7911yescharacteristic
1148C22⋊Q8C22×D7911yescharacteristic
1149C22⋊Q8C22×D7911yescharacteristic
1150#121—21no—
1151#121—791no—
1152#121—791no—
1153#121—791no—
1154#121—791no—
1155#121—791no—
1156#121—791no—
1157#121—791no—
1158#121—1581no—
1159#121—1581no—
1160#121—1581no—
1161#121—1581no—
1162#121—1581no—
1163#121—1581no—
1164#121—1581no—
1165#121—1581no—
1166#121C22×D7911yescharacteristic
1167#120—21no—
1168#120—1581no—
1169#120—1581no—
1170#120—1581no—
1171C4×Q8—791no—
1172C4×Q8—791no—
1173C4×Q8—791no—
1174C4×Q8—791no—
1175C4×Q8—791no—
1176C4×Q8—1581no—
1177C4×Q8—1581no—
1178C4×Q8—1581no—
1179C4×Q8—1581no—
1180C4×Q8C22×D7911yescharacteristic
1181C4×D4—791no—
1182C4×D4—791no—
1183C4×D4—791no—
1184C4×D4—791no—
1185C4×D4—791no—
1186C4×D4—791no—
1187C4×D4—791no—
1188C4×D4—791no—
1189C4×D4—791no—
1190C4×D4—791no—
1191C4×D4—791no—
1192C4×D4—791no—
1193C4×D4—1581no—
1194C4×D4—1581no—
1195C4×D4—1581no—
1196C4×D4—1581no—
1197C4×D4—1581no—
1198C4×D4—1581no—
1199C4×D4—1581no—
1200C4×D4—1581no—
1201C4×D4—1581no—
1202C4×D4—1581no—
1203C4×D4—1581no—
1204C4×D4—1581no—
1205C4×D4C22×D7911yescharacteristic
1206C4×D4C22×D7911yescharacteristic
1207#117—21no—
1208#117—791no—
1209#117—791no—
1210#117—791no—
1211#117—791no—
1212#117—791no—
1213#117—791no—
1214#117—1581no—
1215#117—1581no—
1216#117—1581no—
1217#117—1581no—
1218#117—1581no—
1219#117—1581no—
1220#117C22×D7911yescharacteristic
1221C2×C4⋊C4—791no—
1222C2×C4⋊C4—791no—
1223C2×C4⋊C4—791no—
1224C2×C4⋊C4—1581no—
1225C2×C4⋊C4—1581no—
1226C2×C4⋊C4—1581no—
1227C2×C4⋊C4C22×D7911yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—1581no—
1230C2×C22⋊C4—1581no—
1231C2×C22⋊C4—1581no—
1232C2×C22⋊C4—1581no—
1233C2×C42—791no—
1234#107—791no—
1235#107—791no—
1236#107—791no—
1237#107—791no—
1238#107—791no—
1239#107—791no—
1240#107—791no—
1241#107—791no—
1242#107—791no—
1243#107—791no—
1244#107—791no—
1245#107C22×D7911yescharacteristic
1246#106—791no—
1247#106—791no—
1248#106—791no—
1249#106—791no—
1250#106—791no—
1251#106—791no—
1252#106—791no—
1253#106—791no—
1254#106—791no—
1255#106—791no—
1256#106C22×D7911yescharacteristic
1257#106C22×D7911yescharacteristic
1258C4⋊C8—791no—
1259C4⋊C8—791no—
1260C4⋊C8—791no—
1261C4⋊C8—791no—
1262C4⋊C8—791no—
1263C4⋊C8—791no—
1264C4⋊C8—791no—
1265C4⋊C8—791no—
1266C4⋊C8—791no—
1267C4⋊C8C22×D7911yescharacteristic
1268#103—791no—
1269#103—791no—
1270#103—791no—
1271#103—791no—
1272#103—791no—
1273#103—791no—
1274#103C22×D7911yescharacteristic
1275#103C22×D7911yescharacteristic
1276#103C22×D7911yescharacteristic
1277#103C22×D7911yescharacteristic
1278#102—791no—
1279#102—791no—
1280#102—791no—
1281#102—791no—
1282#102—791no—
1283#102—791no—
1284#102—791no—
1285#102—791no—
1286#102—791no—
1287#102—791no—
1288#102—791no—
1289#102—791no—
1290#102—791no—
1291#102—791no—
1292#102—791no—
1293#102—791no—
1294#102C22×D7911yescharacteristic
1295#102C22×D7911yescharacteristic
1296#102C22×D7911yescharacteristic
1297#102C22×D7911yescharacteristic
1298#102C22×D7911yescharacteristic
1299#102C22×D7911yescharacteristic
1300C22⋊C8—791no—
1301C22⋊C8—791no—
1302C22⋊C8—791no—
1303C22⋊C8—791no—
1304C22⋊C8C22×D7911yescharacteristic
1305C22⋊C8C22×D7911yescharacteristic
1306#97—791no—
1307#97—791no—
1308C4×C8—791no—
1309C4×C8—791no—
1310C4×C8—791no—
1311C4×C8C22×D7911yescharacteristic
1312C24—21no—
1313C24—1581no—
1314#41—22no—
1315#41—41no—
1316#41—6322no—
1317C2×Q8—791no—
1318C2×Q8—1581no—
1319C2×Q8—1581no—
1320C2×Q8—1581no—
1321C2×Q8—1581no—
1322C2×Q8—1581no—
1323C2×Q8C23×D7911yescharacteristic
1324C2×Q8C23×D7911yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—41no—
1330C2×D4—3161no—
1331C2×D4—791no—
1332C2×D4—791no—
1333C2×D4—791no—
1334C2×D4—791no—
1335C2×D4—6322no—
1336C2×D4—1581no—
1337C2×D4—1581no—
1338C2×D4—1581no—
1339C2×D4—1581no—
1340C2×D4—1581no—
1341C2×D4—1582no—
1342C2×D4—1581no—
1343C2×D4—1581no—
1344C2×D4—1581no—
1345C2×D4—1581no—
1346C2×D4D4×D7911yescharacteristic
1347C2×D4C23×D7911yescharacteristic
1348C2×D4C23×D7911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—791no—
1353C22×C4—791no—
1354C22×C4—791no—
1355C22×C4—6322no—
1356C22×C4—1581no—
1357C22×C4—1581no—
1358C22×C4—1581no—
1359C22×C4—1581no—
1360C22×C4—1581no—
1361C22×C4—1581no—
1362C22×C4—1581no—
1363C22×C4—1581no—
1364C22×C4—1581no—
1365C22×C4—1581no—
1366C22×C4—1581no—
1367C22×C4—1581no—
1368C22×C4—1581no—
1369C22×C4C23×D7911yescharacteristic
1370C22×C4C23×D7911yescharacteristic
1371Q16—41no—
1372SD16—22no—
1373SD16—41no—
1374SD16—3161no—
1375SD16—3161no—
1376D8—3161no—
1377D8—3161no—
1378D8—1582no—
1379M16—41no—
1380M16—41no—
1381M16—3161no—
1382M16—3161no—
1383C2×C8—3161no—
1384C2×C8—3161no—
1385C2×C8—791no—
1386C2×C8—791no—
1387C2×C8—791no—
1388C2×C8—791no—
1389C2×C8C23×D7911yescharacteristic
1390C2×C8C23×D7911yescharacteristic
1391C2×C8C23×D7911yescharacteristic
1392C2×C8C23×D7911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—791no—
1401C4⋊C4—791no—
1402C4⋊C4—791no—
1403C4⋊C4—791no—
1404C4⋊C4—791no—
1405C4⋊C4—791no—
1406C4⋊C4—791no—
1407C4⋊C4—791no—
1408C4⋊C4—791no—
1409C4⋊C4—791no—
1410C4⋊C4—791no—
1411C4⋊C4—791no—
1412C4⋊C4—791no—
1413C4⋊C4—791no—
1414C4⋊C4—791no—
1415C4⋊C4—1581no—
1416C4⋊C4—1581no—
1417C4⋊C4—1581no—
1418C4⋊C4—1581no—
1419C4⋊C4—1581no—
1420C4⋊C4—1581no—
1421C4⋊C4—1581no—
1422C4⋊C4—1581no—
1423C4⋊C4—1581no—
1424C4⋊C4—1581no—
1425C4⋊C4—1581no—
1426C4⋊C4—1581no—
1427C4⋊C4—1581no—
1428C4⋊C4—1581no—
1429C4⋊C4—1581no—
1430C4⋊C4—1581no—
1431C4⋊C4—1581no—
1432C4⋊C4—1581no—
1433C4⋊C4—1581no—
1434C4⋊C4—1581no—
1435C4⋊C4—1581no—
1436C4⋊C4—1581no—
1437C4⋊C4—1581no—
1438C4⋊C4—1581no—
1439C4⋊C4—1581no—
1440C4⋊C4—1581no—
1441C4⋊C4D4×D7911yescharacteristic
1442C4⋊C4C23×D7911yescharacteristic
1443C4⋊C4C23×D7911yescharacteristic
1444C4⋊C4C23×D7911yescharacteristic
1445C4⋊C4C23×D7911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—791no—
1455C22⋊C4—791no—
1456C22⋊C4—791no—
1457C22⋊C4—791no—
1458C22⋊C4—791no—
1459C22⋊C4—791no—
1460C22⋊C4—791no—
1461C22⋊C4—791no—
1462C22⋊C4—1581no—
1463C22⋊C4—1581no—
1464C22⋊C4—1581no—
1465C22⋊C4—1581no—
1466C22⋊C4—1581no—
1467C22⋊C4—1581no—
1468C22⋊C4—1581no—
1469C22⋊C4—1581no—
1470C22⋊C4—1581no—
1471C22⋊C4—1581no—
1472C22⋊C4—1581no—
1473C22⋊C4—1581no—
1474C22⋊C4—1581no—
1475C22⋊C4—1581no—
1476C22⋊C4—1581no—
1477C22⋊C4—1581no—
1478C22⋊C4—1581no—
1479C22⋊C4—1581no—
1480C22⋊C4—1581no—
1481C22⋊C4—1581no—
1482C22⋊C4—1581no—
1483C22⋊C4—1581no—
1484C22⋊C4—1581no—
1485C22⋊C4—1581no—
1486C22⋊C4—1581no—
1487C22⋊C4—1581no—
1488C22⋊C4D4×D7911yescharacteristic
1489C22⋊C4D4×D7911yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—791no—
1493C42—791no—
1494C42—791no—
1495C42—791no—
1496C42—791no—
1497C42—1581no—
1498C42—1581no—
1499C42—1581no—
1500C42—1581no—
1501C42—1581no—
1502C42—1581no—
1503C42—1581no—
1504C42—1581no—
1505C42C23×D7911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—42no—
1509C23—42no—
1510C23—81no—
1511C23—3162no—
1512C23—791no—
1513C23—6321no—
1514C23—6321no—
1515C23—1581no—
1516C23—1581no—
1517C23C2×D4×D7911yescharacteristic
1518C23C2×D4×D7911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—3161no—
1524Q8—6321no—
1525Q8—6321no—
1526Q8—6321no—
1527Q8—6321no—
1528Q8—6321no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—41no—
1533D4—42no—
1534D4—42no—
1535D4—81no—
1536D4—3162no—
1537D4—3162no—
1538D4—3161no—
1539D4—3161no—
1540D4—6321no—
1541D4—6321no—
1542D4—6321no—
1543D4—6321no—
1544D4—6321no—
1545D4—6321no—
1546D4—6321no—
1547D4—1581no—
1548D4—1581no—
1549D4—1581no—
1550D4—1581no—
1551D4#1457920812yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—42no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—3162no—
1566C2×C4—3161no—
1567C2×C4—3161no—
1568C2×C4—791no—
1569C2×C4—791no—
1570C2×C4—791no—
1571C2×C4—791no—
1572C2×C4—791no—
1573C2×C4—791no—
1574C2×C4—791no—
1575C2×C4—6321no—
1576C2×C4—6321no—
1577C2×C4—6321no—
1578C2×C4—6321no—
1579C2×C4—6321no—
1580C2×C4—6321no—
1581C2×C4—6321no—
1582C2×C4—6321no—
1583C2×C4—6321no—
1584C2×C4—6321no—
1585C2×C4—6321no—
1586C2×C4—6321no—
1587C2×C4—1581no—
1588C2×C4—1581no—
1589C2×C4—1581no—
1590C2×C4—1581no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4—1581no—
1594C2×C4—1581no—
1595C2×C4C2×D4×D7911yescharacteristic
1596C2×C4C2×D4×D7911yescharacteristic
1597C2×C4C2×D4×D7911yescharacteristic
1598C2×C4C2×D4×D7911yescharacteristic
1599C2×C4C24×D7911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1581no—
1605C8—1581no—
1606C8—1581no—
1607C8—1581no—
1608C22—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—84no—
1621C22—3161no—
1622C22—3161no—
1623C22—3161no—
1624C22—3161no—
1625C22—3161no—
1626C22—3161no—
1627C22—1581no—
1628C22—1581no—
1629C22—1581no—
1630C22—12642no—
1631C22C22×D4×D7911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—1581no—
1649C4—1581no—
1650C4—1581no—
1651C4—1581no—
1652C4—1581no—
1653C4—1581no—
1654C4—1581no—
1655C4C2×#1457920811yescharacteristic
1656C4#1909939811yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—3161no—
1662C2—6321no—
1663C2—6321no—
1664C2#2377707111yescharacteristic
1665C2#2377817211yescharacteristic
1666C2#2377817711yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3323C2
socleC22×C79C23×D4
hypercenter#3323D79
hypocenterC79#62175
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3323

Complements

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

NH ≅ G/Ntype
1. #23778039C2semidirect
2. #23777341C2semidirect
3. #23776357C2semidirect
4. #23776273C2semidirect
5. #23776165C2semidirect
6. #23776057C2semidirect
7. #23775996C2semidirect
8. #23775958C2semidirect
9. #23775955C2semidirect
10. #23775925C2semidirect
11. #23775840C2semidirect
12. #23775800C2semidirect
13. #23775624C2semidirect
14. #23775602C2semidirect
15. #23775556C2semidirect
16. #23775542C2semidirect
17. #23775228C2semidirect
18. #23774859C2semidirect
19. #23774806C2semidirect
20. #23774802C2semidirect
21. #23774691C2semidirect
22. #23774657C2semidirect
23. #23774582C2semidirect
24. #23773670C2semidirect
25. #23773590C2semidirect
26. #23773448C2semidirect
27. #23773255C2semidirect
28. #23773230C2semidirect
29. #23773194C2semidirect
30. #23772546C2semidirect
31. C79×#3323C2semidirect
35. #19099292C22semidirect
38. #19099278C22semidirect
40. #19099269C22semidirect
43. #19099261C22semidirect
47. #19099247C22semidirect
54. #19099194C22semidirect
55. #19099193C22semidirect
56. #19099186C22semidirect
57. #19099185C22semidirect
66. #19099116C22semidirect
68. #19099099C22semidirect
75. #19098973C22semidirect
76. #19098970C22semidirect
77. #19098964C22semidirect
78. #19098963C22semidirect
79. #19098963C22semidirect
80. #19098961C22semidirect
82. #19098922C22semidirect
83. #19098919C22semidirect
84. #19098919C22semidirect
86. #19098903C22semidirect
87. #19098902C22semidirect
88. #19098901C22semidirect
89. #19098896C22semidirect
90. #19098892C22semidirect
91. #19098891C22semidirect
92. #19098889C22semidirect
94. #19098888C22semidirect
97. #19098884C22semidirect
98. #19098882C22semidirect
99. #19098882C22semidirect
101. #19098876C22semidirect
102. #19098868C22semidirect
103. #19098868C22semidirect
104. #19098868C22semidirect
105. #19098868C22semidirect
106. #19098866C22semidirect
110. #19098865C22semidirect
111. #19098865C22semidirect
112. #19098862C22semidirect
113. #19098862C22semidirect
115. #19098861C22semidirect
116. #19098860C22semidirect
117. #19098858C22semidirect
118. #19098856C22semidirect
119. #19098856C22semidirect
120. #19098854C22semidirect
121. #19098852C22semidirect
123. #19098851C22semidirect
124. #19098846C22semidirect
125. #19098844C22semidirect
127. #19098842C22semidirect
130. #19098841C22semidirect
132. #19098816C22semidirect
133. #19098812C22semidirect
135. #19098811C22semidirect
137. #19098801C22semidirect
139. #19098797C22semidirect
140. #19098794C22semidirect
141. #19098787C22semidirect
142. #19098787C22semidirect
143. #19098781C22semidirect
144. #19098781C22semidirect
146. #19098780C22semidirect
147. #19098775C22semidirect
154. #19098692C22semidirect
155. C8×Dic158C22semidirect
158. #19098670C22semidirect
159. #19098661C22semidirect
162. SD16×Dic79C22semidirect
163. #19098648C22semidirect
164. C4×D632C22semidirect
166. #19098643C22semidirect
167. #19098639C22semidirect
169. #19098635C22semidirect
171. (C22⋊D79)⋊C8C22semidirect
172. #19098622C22semidirect
173. #19098621C22semidirect
174. #19098613C22semidirect
175. #19098606C22semidirect
176. #19098605C22semidirect
177. #19098605C22semidirect
178. #19098604C22semidirect
179. #19098598C22semidirect
180. C2×#14579094C22semidirect
181. #19098591C22semidirect
182. #19098588C22semidirect
183. #19098586C22semidirect
188. #552×C79C22semidirect
190. #488×C79C22semidirect
191. #485×C79C22semidirect
192. #481×C79C22semidirect
194. #470×C79C22semidirect
195. #468×C79C22semidirect
196. #464×C79C22semidirect
200. #436×C79C22semidirect
847. #3323D79semidirect
865. C79#62175semidirect
882. #552C2×D79semidirect
921. #488C2×D79semidirect
926. #485C2×D79semidirect
939. #481C2×D79semidirect
971. #470C2×D79semidirect
978. #468C2×D79semidirect
985. #464C2×D79semidirect
1015. #436C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780392
#237773412
#237763572
#237762732
#237761652
#237760572
#237759962
#237759582
#237759552
#237759252
#237758402
#237758002
#237756242
#237756022
#237755562
#237755422
#237752282
#237748592
#237748062
#237748022
#237746912
#237746572
#237745822
#237736702
#237735902
#237734482
#237732552
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