Finite Group Databasebeta

← #35185496

Subgroups — #35185496

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#23778037C211yesmaximal, characteristic, complemented
2#23777334C211yesmaximal, characteristic, complemented
3#23776358C211yesmaximal, characteristic, complemented
4#23776278C211yesmaximal, characteristic, complemented
5#23776172C211yesmaximal, characteristic, complemented
6#23776055C211yesmaximal, characteristic, complemented
7#23775990C211yesmaximal, characteristic, complemented
8#23775966C211yesmaximal, characteristic, complemented
9#23775957C211yesmaximal, characteristic, complemented
10#23775925C211yesmaximal, characteristic, complemented
11#23775835C211yesmaximal, characteristic, complemented
12#23775799C211yesmaximal, characteristic, complemented
13#23775626C211yesmaximal, characteristic, complemented
14#23775622C211yesmaximal, characteristic, complemented
15#23775608C211yesmaximal, characteristic, complemented
16#23775551C211yesmaximal, characteristic, complemented
17#23775536C211yesmaximal, characteristic, complemented
18#23775242C211yesmaximal, characteristic, complemented
19#23774859C211yesmaximal, characteristic, complemented
20#23774816C211yesmaximal, characteristic, complemented
21#23774705C211yesmaximal, characteristic, complemented
22#23774650C211yesmaximal, characteristic, complemented
23#23774575C211yesmaximal, characteristic, complemented
24#23773676C211yesmaximal, characteristic, complemented
25#23773581C211yesmaximal, characteristic, complemented
26#23773443C211yesmaximal, characteristic, complemented
27#23773254C211yesmaximal, characteristic, complemented
28#23773230C211yesmaximal, characteristic, complemented
29#23773199C211yesmaximal, characteristic, complemented
30#23772545C211yesmaximal, characteristic, complemented
31C79×#3256C211yesmaximal, characteristic, complemented
32#19099316—21no—
33#19099310—21no—
34#19099295C2211yescharacteristic
35#19099289C2211yescharacteristic, complemented
36#19099284C2211yescharacteristic
37#19099281—21no—
38#19099277C2211yescharacteristic, complemented
39#19099272C2211yescharacteristic, complemented
40#19099269C2211yescharacteristic
41#19099266C2211yescharacteristic
42#19099263C2211yescharacteristic, complemented
43#19099260C2211yescharacteristic
44#19099257—21no—
45#19099255C2211yescharacteristic
46#19099254C2211yescharacteristic, complemented
47#19099247C2211yescharacteristic, complemented
48#19099246—21no—
49#19099242—21no—
50#19099237—21no—
51#19099213C2211yescharacteristic
52#19099208—21no—
53#19099206C2211yescharacteristic
54#19099204C2211yescharacteristic
55#19099197C2211yescharacteristic
56#19099193C2211yescharacteristic, complemented
57#19099193C2211yescharacteristic, complemented
58#19099185C2211yescharacteristic
59#19099182C2211yescharacteristic, complemented
60#19099182C2211yescharacteristic, complemented
61#19099179—21no—
62#19099178—21no—
63#19099170—21no—
64#19099164C2211yescharacteristic
65#19099155—21no—
66#19099154—21no—
67#19099152—21no—
68#19099120C2211yescharacteristic, complemented
69#19099097C2211yescharacteristic
70#19099071—21no—
71#123×D79—21no—
72#19099045C2211yescharacteristic
73#19099035C2211yescharacteristic
74C2×C4×D316C2211yescharacteristic
75#19098971C2211yescharacteristic, complemented
76#19098970C2211yescharacteristic, complemented
77#19098964C2211yescharacteristic, complemented
78#19098962C2211yescharacteristic, complemented
79#19098962C2211yescharacteristic, complemented
80#19098960C2211yescharacteristic, complemented
81#19098926C2211yescharacteristic
82#19098924C2211yescharacteristic, complemented
83#19098919C2211yescharacteristic, complemented
84#19098917C2211yescharacteristic, complemented
85#19098917C2211yescharacteristic, complemented
86#19098908C2211yescharacteristic
87#19098903C2211yescharacteristic, complemented
88#19098902C2211yescharacteristic, complemented
89#19098901C2211yescharacteristic, complemented
90#19098901C2211yescharacteristic, complemented
91#19098896C2211yescharacteristic, complemented
92#19098892C2211yescharacteristic, complemented
93#19098892C2211yescharacteristic, complemented
94#19098890C2211yescharacteristic
95#19098890C2211yescharacteristic, complemented
96#19098885C2211yescharacteristic, complemented
97#19098885C2211yescharacteristic, complemented
98#19098884C2211yescharacteristic
99#19098884C2211yescharacteristic
100#19098883C2211yescharacteristic
101#19098883C2211yescharacteristic, complemented
102#19098880C2211yescharacteristic, complemented
103#19098879C2211yescharacteristic, complemented
104#19098875C2211yescharacteristic, complemented
105#19098872C2211yescharacteristic, complemented
106#19098868C2211yescharacteristic, complemented
107#19098865C2211yescharacteristic, complemented
108#19098865C2211yescharacteristic, complemented
109#19098864C2211yescharacteristic
110#19098864C2211yescharacteristic
111#19098864C2211yescharacteristic, complemented
112#19098864C2211yescharacteristic, complemented
113#19098862C2211yescharacteristic
114#19098862C2211yescharacteristic
115#19098860C2211yescharacteristic
116#19098860C2211yescharacteristic, complemented
117#19098858C2211yescharacteristic, complemented
118#19098856C2211yescharacteristic, complemented
119#19098856C2211yescharacteristic, complemented
120#19098854C2211yescharacteristic
121#19098854C2211yescharacteristic, complemented
122#19098853C2211yescharacteristic, complemented
123#19098851C2211yescharacteristic, complemented
124#19098848C2211yescharacteristic, complemented
125#19098844C2211yescharacteristic
126#19098844C2211yescharacteristic, complemented
127#19098843C2211yescharacteristic, complemented
128#19098842C2211yescharacteristic
129#19098842C2211yescharacteristic
130#19098841C2211yescharacteristic, complemented
131#19098813C2211yescharacteristic, complemented
132#19098812C2211yescharacteristic
133#19098812C2211yescharacteristic, complemented
134#19098806C2211yescharacteristic, complemented
135#19098801C2211yescharacteristic, complemented
136#19098798C2211yescharacteristic
137#19098798C2211yescharacteristic, complemented
138#19098789C2211yescharacteristic, complemented
139#19098787C2211yescharacteristic, complemented
140#19098780C2211yescharacteristic, complemented
141#19098775C2211yescharacteristic
142#19098775C2211yescharacteristic, complemented
143#19098761C2211yescharacteristic
144#19098756C2211yescharacteristic
145#19098724C2211yescharacteristic
146#19098713C2211yescharacteristic
147#19098712C2211yescharacteristic
148#19098707C2211yescharacteristic
149#19098696C2211yescharacteristic
150#19098695C2211yescharacteristic
151#19098690C2211yescharacteristic, complemented
152#19098687C2211yescharacteristic, complemented
153#19098672C2211yescharacteristic
154#19098672C2211yescharacteristic
155#19098670C2211yescharacteristic, complemented
156#19098664C2211yescharacteristic, complemented
157SD16×Dic79C2211yescharacteristic, complemented
158C4×#11929611C2211yescharacteristic
159C4×#11929611C2211yescharacteristic, complemented
160#19098648C2211yescharacteristic
161#19098648C2211yescharacteristic
162D8×Dic79C2211yescharacteristic, complemented
163C4×#11929609C2211yescharacteristic
164C4×#11929609C2211yescharacteristic, complemented
165#19098640C2211yescharacteristic, complemented
166#19098639C2211yescharacteristic
167#19098639C2211yescharacteristic, complemented
168#19098632C2211yescharacteristic
169#19098632C2211yescharacteristic, complemented
170#19098628C2211yescharacteristic, complemented
171#19098623C2211yescharacteristic, complemented
172#19098623C2211yescharacteristic, complemented
173#19098616C2211yescharacteristic, complemented
174#19098605C2211yescharacteristic, complemented
175#19098605C2211yescharacteristic, complemented
176#19098604C2211yescharacteristic, complemented
177#19098602C2211yescharacteristic, complemented
178#19098598C2211yescharacteristic, complemented
179#107×D79C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181#19098588C2211yescharacteristic, complemented
182#19098569C2211yescharacteristic
183#19098569C2211yescharacteristic
184#19098566C2211yescharacteristic
185#19098563C2211yescharacteristic
186#19098558C2211yescharacteristic
187#102×D79C2211yescharacteristic
188#529×C79C2211yescharacteristic
189#529×C79C2211yescharacteristic, complemented
190#479×C79C2211yescharacteristic, complemented
191#479×C79C2211yescharacteristic, complemented
192#478×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic, complemented
194#470×C79C2211yescharacteristic, complemented
195#469×C79C2211yescharacteristic
196#468×C79C2211yescharacteristic
197#468×C79C2211yescharacteristic, complemented
198#464×C79C2211yescharacteristic, complemented
199#464×C79C2211yescharacteristic, complemented
200#463×C79C2211yescharacteristic, complemented
201#463×C79C2211yescharacteristic, complemented
202#423×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929623—21no—
205C22×D316C2311yescharacteristic
206C2×D4×D79—21no—
207C2×D4×D79C2311yescharacteristic
208C22×C4×D79—21no—
209C2×#11929611C2311yescharacteristic
210C2×#11929611C2311yescharacteristic
211C2×#11929609C2311yescharacteristic
212C2×#11929609C2311yescharacteristic
213C2×#11929607C2311yescharacteristic
214C2×#11929607C2311yescharacteristic
215C2×C8×D79C2311yescharacteristic
216C2×C8×D79C2311yescharacteristic
217#14579161C2311yescharacteristic
218#14579161C2311yescharacteristic
219#14579160—21no—
220#14579160—21no—
221#14579160—21no—
222#14579160C2311yescharacteristic
223#14579160C2311yescharacteristic
224#14579160C2311yescharacteristic
225#14579157C2311yescharacteristic
226#14579156—21no—
227#14579156—21no—
228#14579156—21no—
229#14579155—21no—
230#14579155—21no—
231#14579155D411yescharacteristic
232#14579155D411yescharacteristic
233#14579154—21no—
234#14579154—21no—
235#14579154—21no—
236#14579154—21no—
237#14579154—21no—
238#14579154—21no—
239#14579153—21no—
240#14579153D411yescharacteristic
241#14579153C2311yescharacteristic
242#14579153C2311yescharacteristic
243#14579152—21no—
244#14579152—21no—
245#14579152C2311yescharacteristic
246#14579152C2311yescharacteristic
247#14579152C2311yescharacteristic
248#14579151—21no—
249#14579151—21no—
250#14579151—21no—
251#14579151—21no—
252#14579150C2311yescharacteristic
253#14579149—21no—
254#14579149D411yescharacteristic
255#14579148—21no—
256#14579147—21no—
257#14579147—21no—
258#14579147—21no—
259#14579147—21no—
260#14579147—21no—
261#14579146—21no—
262#14579146—21no—
263#14579146—21no—
264#14579146—21no—
265#14579145—21no—
266#14579145—21no—
267#14579145—21no—
268#14579145—21no—
269#14579144—21no—
270#14579144—21no—
271#14579144D411yescharacteristic
272#14579144D411yescharacteristic
273#14579143—21no—
274#14579143—21no—
275#14579143—21no—
276#14579143—21no—
277#14579143—21no—
278#14579142—21no—
279#14579142—21no—
280#14579141—21no—
281#14579141—21no—
282#14579141—21no—
283#14579140—21no—
284#14579140—21no—
285#14579140—21no—
286#14579140D411yescharacteristic
287#14579139—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#14579137C2311yescharacteristic
298#14579137C2311yescharacteristic
299#14579137C2311yescharacteristic
300#14579136—21no—
301#14579136—21no—
302#14579136C2311yescharacteristic
303#14579136C2311yescharacteristic
304#14579135—21no—
305#14579135D411yescharacteristic
306#14579134—21no—
307#14579134—21no—
308#14579134—21no—
309#14579134—21no—
310#14579133—21no—
311#14579132—21no—
312#14579132C2311yescharacteristic
313#14579132C2311yescharacteristic
314#14579132C2311yescharacteristic
315#14579131—21no—
316#14579131—21no—
317#14579131—21no—
318#14579129—21no—
319Q8×Dic79C2311yescharacteristic
320Q8×Dic79C2311yescharacteristic
321Q8×Dic79C2311yescharacteristic
322C4×Dic158—21no—
323C4×Dic158—21no—
324C4×Dic158—21no—
325C4×Dic158C2311yescharacteristic
326#14579126—21no—
327C4×D316—21no—
328C4×D316—21no—
329C4×D316—21no—
330C4×D316C2311yescharacteristic
331C4×D316C2311yescharacteristic
332C4×D316C2311yescharacteristic
333C4×D316C2311yescharacteristic
334C4×D316C2311yescharacteristic
335D4×Dic79C2311yescharacteristic
336D4×Dic79C2311yescharacteristic
337D4×Dic79C2311yescharacteristic
338#14579123—21no—
339#14579123—21no—
340#14579123C2311yescharacteristic
341#14579123C2311yescharacteristic
342C4×C22⋊D79—21no—
343C4×C22⋊D79—21no—
344C4×C22⋊D79C2311yescharacteristic
345C4×C22⋊D79C2311yescharacteristic
346(C22⋊D79)⋊C4—21no—
347(C22⋊D79)⋊C4—21no—
348(C22⋊D79)⋊C4—21no—
349#14579120C2311yescharacteristic
350#14579120C2311yescharacteristic
351#14579119—21no—
352#14579119C2311yescharacteristic
353#14579119C2311yescharacteristic
354#14579119C2311yescharacteristic
355#14579118—21no—
356#14579118—21no—
357#14579118C2311yescharacteristic
358#14579118C2311yescharacteristic
359#14579117—21no—
360#14579117—21no—
361C2×C4⋊Dic79C2311yescharacteristic
362C2×Dic79⋊C4—21no—
363C4⋊C4×D79—21no—
364C4⋊C4×D79—21no—
365C4⋊C4×D79C2311yescharacteristic
366C4⋊C4×D79C2311yescharacteristic
367C4⋊C4×D79C2311yescharacteristic
368C2×(C2×D79)⋊C4—21no—
369C2×(C2×D79)⋊C4—21no—
370C22⋊C4×D79—21no—
371C22⋊C4×D79—21no—
372C22⋊C4×D79—21no—
373#14579095C2311yescharacteristic
374#14579095C2311yescharacteristic
375#14579095C2311yescharacteristic
376#14579095C2311yescharacteristic
377#14579094C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579093C2311yescharacteristic
384#14579093C2311yescharacteristic
385#14579093C2311yescharacteristic
386#14579093C2311yescharacteristic
387#14579092C2311yescharacteristic
388#14579092C2311yescharacteristic
389#14579092C2311yescharacteristic
390#14579092C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393C4⋊(C79⋊C8)C2311yescharacteristic
394C4⋊(C79⋊C8)C2311yescharacteristic
395Dic79⋊C8C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399#14579085C2311yescharacteristic
400#14579085C2311yescharacteristic
401#14579085C2311yescharacteristic
402#14579085C2311yescharacteristic
403#14579085C2311yescharacteristic
404#14579085C2311yescharacteristic
405#14579083C2311yescharacteristic
406#14579083C2311yescharacteristic
407#14579083C2311yescharacteristic
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579082C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579081C2311yescharacteristic
420#14579081C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
423C22⋊(C79⋊C8)C2311yescharacteristic
424C22⋊(C79⋊C8)C2311yescharacteristic
425(C2×D79)⋊C8C2311yescharacteristic
426(C2×D79)⋊C8C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429#14579071C2311yescharacteristic
430#14579071C2311yescharacteristic
431C4×C79⋊C8C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C2×Q16×C79C2311yescharacteristic
436C2×SD16×C79C2311yescharacteristic
437C2×SD16×C79C2311yescharacteristic
438C2×D8×C79C2311yescharacteristic
439C2×M16×C79C2311yescharacteristic
440C2×M16×C79C2311yescharacteristic
441#126×C79—21no—
442#126×C79—21no—
443#125×C79C2311yescharacteristic
444#125×C79C2311yescharacteristic
445#124×C79C2311yescharacteristic
446#124×C79C2311yescharacteristic
447#123×C79—21no—
448#123×C79—21no—
449C22⋊Q8×C79C2311yescharacteristic
450C22⋊Q8×C79C2311yescharacteristic
451#121×C79C2311yescharacteristic
452#121×C79C2311yescharacteristic
453C4×Q8×C79C2311yescharacteristic
454C4×Q8×C79C2311yescharacteristic
455C4×D4×C79—21no—
456C4×D4×C79—21no—
457C4×D4×C79C2311yescharacteristic
458C4×D4×C79C2311yescharacteristic
459#117×C79—21no—
460#117×C79—21no—
461C2×C42×C79C2311yescharacteristic
462#107×C79C2311yescharacteristic
463#107×C79C2311yescharacteristic
464#106×C79C2311yescharacteristic
465#106×C79C2311yescharacteristic
466C4⋊C8×C79C2311yescharacteristic
467C4⋊C8×C79C2311yescharacteristic
468C4⋊C8×C79C2311yescharacteristic
469C4⋊C8×C79C2311yescharacteristic
470#103×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478C23×D79—21no—
479C23×D79—21no—
480#11929625—22no—
481#11929625—41no—
482#11929623—82no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×Dic158C2×D411yescharacteristic
489C2×D316—21no—
490C2×D316—21no—
491C2×D316—21no—
492C2×D316—22no—
493C2×D316—21no—
494C2×D316—41no—
495C2×D316C2×D411yescharacteristic
496C2×D316C2411yescharacteristic
497C2×D316C2411yescharacteristic
498C2×C22⋊D79—21no—
499C2×C22⋊D79—21no—
500C2×C22⋊D79—21no—
501C2×C22⋊D79—21no—
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79C2×D411yescharacteristic
505C2×C22⋊D79C2×D411yescharacteristic
506D4×D79—22no—
507D4×D79—41no—
508D4×D79—82no—
509C22×Dic79—21no—
510C22×Dic79—21no—
511C22×Dic79—21no—
512C22×Dic79—21no—
513C2×C4×D79—21no—
514C2×C4×D79—21no—
515C2×C4×D79—21no—
516C2×C4×D79—21no—
517C2×C4×D79—21no—
518C2×C4×D79—21no—
519C2×C4×D79—21no—
520C2×C4×D79—21no—
521C2×C4×D79—21no—
522C2×C4×D79—21no—
523C2×C4×D79—82no—
524C2×C4×D79C2411yescharacteristic
525C2×C4×D79C2411yescharacteristic
526#11929611—22no—
527#11929611—41no—
528#11929609—22no—
529#11929609—41no—
530#11929607—41no—
531#11929607—41no—
532C2×C79⋊C8C2411yescharacteristic
533C2×C79⋊C8C2411yescharacteristic
534C2×C79⋊C8C2411yescharacteristic
535C2×C79⋊C8C2411yescharacteristic
536C8×D79—41no—
537C8×D79—41no—
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⋊Dic79—21no—
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⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4C2×D411yescharacteristic
572Dic79⋊C4C2×D411yescharacteristic
573Dic79⋊C4C2×D411yescharacteristic
574Dic79⋊C4C2×D411yescharacteristic
575Dic79⋊C4C2×D411yescharacteristic
576Dic79⋊C4C2×D411yescharacteristic
577Dic79⋊C4C2×D411yescharacteristic
578Dic79⋊C4C2×D411yescharacteristic
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583C22⋊Dic79—21no—
584C22⋊Dic79—21no—
585C22⋊Dic79—21no—
586C22⋊Dic79—21no—
587C22⋊Dic79C2×D411yescharacteristic
588C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
604(C2×D79)⋊C4—21no—
605(C2×D79)⋊C4C2×D411yescharacteristic
606(C2×D79)⋊C4C2×D411yescharacteristic
607(C2×D79)⋊C4C2×D411yescharacteristic
608(C2×D79)⋊C4C2×D411yescharacteristic
609(C2×D79)⋊C4C2×D411yescharacteristic
610(C2×D79)⋊C4C2×D411yescharacteristic
611(C2×D79)⋊C4C2×D411yescharacteristic
612(C2×D79)⋊C4C2×D411yescharacteristic
613C4×Dic79—21no—
614C4×Dic79—21no—
615C4×Dic79—21no—
616C4×Dic79—21no—
617C4×Dic79—21no—
618C4×Dic79—21no—
619C4×Dic79—21no—
620C4×Dic79—21no—
621C4×Dic79C2411yescharacteristic
622C4×Dic79C2411yescharacteristic
623C2×Q8×C79C2411yescharacteristic
624C2×Q8×C79C2411yescharacteristic
625C2×D4×C79—21no—
626C2×D4×C79—21no—
627C2×D4×C79C2411yescharacteristic
628C2×D4×C79C2411yescharacteristic
629C22×C4×C79—21no—
630C22×C4×C79—21no—
631C22×C4×C79C2×D411yescharacteristic
632C22×C4×C79C2×D411yescharacteristic
633C22×C4×C79C2411yescharacteristic
634Q16×C79—41no—
635SD16×C79—41no—
636SD16×C79—41no—
637D8×C79—41no—
638M16×C79—41no—
639M16×C79—41no—
640C2×C8×C79C2411yescharacteristic
641C2×C8×C79C2411yescharacteristic
642C2×C8×C79C2411yescharacteristic
643C2×C8×C79C2411yescharacteristic
644C4⋊C4×C79—21no—
645C4⋊C4×C79—21no—
646C4⋊C4×C79—21no—
647C4⋊C4×C79—21no—
648C4⋊C4×C79—21no—
649C4⋊C4×C79—21no—
650C4⋊C4×C79—21no—
651C4⋊C4×C79—21no—
652C4⋊C4×C79C2411yescharacteristic
653C4⋊C4×C79C2411yescharacteristic
654C4⋊C4×C79C2411yescharacteristic
655C4⋊C4×C79C2411yescharacteristic
656C22⋊C4×C79—21no—
657C22⋊C4×C79—21no—
658C22⋊C4×C79—21no—
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—
666C42×C79—21no—
667C42×C79—21no—
668C42×C79C2×D411yescharacteristic
669C42×C79C2×D411yescharacteristic
670C42×C79C2411yescharacteristic
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79C22×D411yescharacteristic
675C22×D79—21no—
676C22×D79—21no—
677C22×D79—42no—
678C22×D79—42no—
679C22×D79—42no—
680C22×D79—81no—
681C22×D79—81no—
682C22×D79—81no—
683C22×D79C22×D411yescharacteristic
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—21no—
693D4×C79—42no—
694D4×C79—81no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
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—41no—
704C2×C4×C79—41no—
705C2×C4×C79—81no—
706C2×C4×C79—81no—
707C2×C4×C79C22×D411yescharacteristic
708C2×C4×C79C22×D411yescharacteristic
709C2×C4×C79C22×D411yescharacteristic
710C2×C4×C79C22×D411yescharacteristic
711C2×C4×C79C22×D411yescharacteristic
712C2×C4×C79C2511yescharacteristic
713C22⋊D79—41no—
714C22⋊D79—41no—
715C22⋊D79—42no—
716C22⋊D79—81no—
717C22⋊D79—81no—
718C22⋊D79—81no—
719C22⋊D79—81no—
720C22⋊D79—81no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—42no—
728C2×Dic79—81no—
729C2×Dic79—81no—
730C2×Dic79—81no—
731C2×Dic79C22×D411yescharacteristic
732C2×Dic79C22×D411yescharacteristic
733C2×Dic79C22×D411yescharacteristic
734C2×Dic79C22×D411yescharacteristic
735C2×Dic79C22×D411yescharacteristic
736C2×Dic79C22×D411yescharacteristic
737D316—21no—
738D316—21no—
739D316—21no—
740D316—41no—
741D316—42no—
742D316—42no—
743D316—81no—
744D316—81no—
745D3162−1+412yes—
746C4×D79—21no—
747C4×D79—21no—
748C4×D79—21no—
749C4×D79—21no—
750C4×D79—42no—
751C4×D79—81no—
752C4×D79—81no—
753C4×D79—81no—
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—41no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79C23×D411yescharacteristic
784C2×D79—21no—
785C2×D79—21no—
786C2×D79—21no—
787C2×D79—21no—
788C2×D79—22no—
789C2×D79—21no—
790C2×D79—21no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—84no—
797C2×D79—162no—
798C4×C79—21no—
799C4×C79—21no—
800C4×C79—21no—
801C4×C79—21no—
802C4×C79—21no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79—41no—
809C4×C79C2×2−1+411yescharacteristic
810C4×C79#58511yescharacteristic
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—41no—
825C2×C79—81no—
826C2×C79—81no—
827C2×C79#348911yescharacteristic
828C2×C79#358411yescharacteristic
829C2×C79#358511yescharacteristic
830D79—41no—
831D79—41no—
832D79—42no—
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#3323—791no—
848#3322—791no—
849#3319—791no—
850#3318—791no—
851#3296—791no—
852#3262—791no—
853#3257—791no—
854#3256D7911yescharacteristic, complemented
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—791no—
882#552—1581no—
883#551—1581no—
884#551—1581no—
885#547—791no—
886#546—791no—
887#546—791no—
888#546—1581no—
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#529C2×D7911yescharacteristic
905#529C2×D7911yescharacteristic, complemented
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#488—791no—
922#486—791no—
923#485—791no—
924#485—791no—
925#485—791no—
926#485—791no—
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#481—791no—
940#480—791no—
941#479—791no—
942#479—791no—
943#479C2×D7911yescharacteristic, complemented
944#479C2×D7911yescharacteristic, complemented
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#478C2×D7911yescharacteristic, complemented
956#478C2×D7911yescharacteristic, complemented
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#469C2×D7911yescharacteristic
974#468—791no—
975#468—791no—
976#468—791no—
977#468C2×D7911yescharacteristic
978#468C2×D7911yescharacteristic, complemented
979#467—791no—
980#466—791no—
981#466—791no—
982#465—791no—
983#464—791no—
984#464C2×D7911yescharacteristic, complemented
985#464C2×D7911yescharacteristic, complemented
986#463—791no—
987#463—791no—
988#463—791no—
989#463C2×D7911yescharacteristic, complemented
990#463C2×D7911yescharacteristic, complemented
991#460—791no—
992#459—791no—
993#452—791no—
994#450—791no—
995#450—791no—
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×SD16—791no—
1010C4×D8—791no—
1011C4×D8—791no—
1012C4×D8—791no—
1013#436—791no—
1014#436—791no—
1015#436—791no—
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#423C2×D7911yescharacteristic, complemented
1031#418—791no—
1032#418—791no—
1033#418—791no—
1034#417—791no—
1035#416—791no—
1036C2×#102—791no—
1037C2×#41—791no—
1038C2×#41—1581no—
1039C22×D4—791no—
1040C22×D4—791no—
1041C22×D4—1581no—
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×D8C22×D7911yescharacteristic
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—21no—
1068#126—791no—
1069#126—791no—
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—791no—
1082#125—791no—
1083#125—791no—
1084#125—791no—
1085#125—791no—
1086#125—791no—
1087#125—1581no—
1088#125—1581no—
1089#125—1581no—
1090#125—1581no—
1091#125—1581no—
1092#125—1581no—
1093#125—1581no—
1094#125C22×D7911yescharacteristic
1095#125C22×D7911yescharacteristic
1096#124—791no—
1097#124—791no—
1098#124—1581no—
1099#124—1581no—
1100#124—1581no—
1101#124—1581no—
1102#124—1581no—
1103#124—1581no—
1104#124—1581no—
1105#124C22×D7911yescharacteristic
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—791no—
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⋊Q8—1581no—
1148C22⋊Q8C22×D7911yescharacteristic
1149C22⋊Q8C22×D7911yescharacteristic
1150#121—791no—
1151#121—791no—
1152#121—791no—
1153#121—791no—
1154#121—791no—
1155#121—791no—
1156#121—1581no—
1157#121—1581no—
1158#121—1581no—
1159#121—1581no—
1160#121—1581no—
1161#121—1581no—
1162#121—1581no—
1163#121—1581no—
1164#121—1581no—
1165#121C22×D7911yescharacteristic
1166#121C22×D7911yescharacteristic
1167#120—1581no—
1168#120—1581no—
1169#120—1581no—
1170#120—1581no—
1171C4×Q8—791no—
1172C4×Q8—791no—
1173C4×Q8—791no—
1174C4×Q8—791no—
1175C4×Q8—1581no—
1176C4×Q8—1581no—
1177C4×Q8—1581no—
1178C4×Q8—1581no—
1179C4×Q8C22×D7911yescharacteristic
1180C4×Q8C22×D7911yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
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—791no—
1194C4×D4—791no—
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—21no—
1209#117—791no—
1210#117—791no—
1211#117—791no—
1212#117—791no—
1213#117—791no—
1214#117—791no—
1215#117—791no—
1216#117—1581no—
1217#117—1581no—
1218#117—1581no—
1219#117—1581no—
1220#117—1581no—
1221C2×C4⋊C4—791no—
1222C2×C4⋊C4—791no—
1223C2×C4⋊C4—791no—
1224C2×C4⋊C4—791no—
1225C2×C4⋊C4—1581no—
1226C2×C4⋊C4—1581no—
1227C2×C4⋊C4—1581no—
1228C2×C22⋊C4—1581no—
1229C2×C22⋊C4—1581no—
1230C2×C22⋊C4—1581no—
1231C2×C22⋊C4—1581no—
1232C2×C22⋊C4—1581no—
1233C2×C42C22×D7911yescharacteristic
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#107C22×D7911yescharacteristic
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⋊C8C22×D7911yescharacteristic
1265C4⋊C8C22×D7911yescharacteristic
1266C4⋊C8C22×D7911yescharacteristic
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#102—791no—
1295#102—791no—
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⋊C8—791no—
1305C22⋊C8—791no—
1306#97—791no—
1307#97—791no—
1308C4×C8—791no—
1309C4×C8—791no—
1310C4×C8—791no—
1311C4×C8—791no—
1312C24—1581no—
1313C24—1581no—
1314#41—3161no—
1315#41—6322no—
1316#41—1582no—
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—21no—
1326C2×D4—21no—
1327C2×D4—3161no—
1328C2×D4—3161no—
1329C2×D4—791no—
1330C2×D4—791no—
1331C2×D4—791no—
1332C2×D4—791no—
1333C2×D4—791no—
1334C2×D4—6322no—
1335C2×D4—1581no—
1336C2×D4—1582no—
1337C2×D4—1581no—
1338C2×D4—1581no—
1339C2×D4—1581no—
1340C2×D4—1581no—
1341C2×D4—1581no—
1342C2×D4—1582no—
1343C2×D4—1581no—
1344C2×D4—1581no—
1345C2×D4—1581no—
1346C2×D4—1581no—
1347C2×D4C23×D7911yescharacteristic
1348C2×D4C23×D7911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—791no—
1352C22×C4—791no—
1353C22×C4—6322no—
1354C22×C4—1581no—
1355C22×C4—1581no—
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×C4D4×D7911yescharacteristic
1369C22×C4D4×D7911yescharacteristic
1370C22×C4C23×D7911yescharacteristic
1371Q16—41no—
1372SD16—41no—
1373SD16—41no—
1374SD16—3161no—
1375SD16—1582no—
1376D8—41no—
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—21no—
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—791no—
1416C4⋊C4—791no—
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⋊C4—1581no—
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—21no—
1455C22⋊C4—21no—
1456C22⋊C4—791no—
1457C22⋊C4—791no—
1458C22⋊C4—791no—
1459C22⋊C4—791no—
1460C22⋊C4—791no—
1461C22⋊C4—791no—
1462C22⋊C4—791no—
1463C22⋊C4—791no—
1464C22⋊C4—791no—
1465C22⋊C4—791no—
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⋊C4—1581no—
1489C22⋊C4—1581no—
1490C42—21no—
1491C42—21no—
1492C42—791no—
1493C42—791no—
1494C42—1581no—
1495C42—1581no—
1496C42—1581no—
1497C42—1581no—
1498C42—1581no—
1499C42—1581no—
1500C42—1581no—
1501C42—1581no—
1502C42D4×D7911yescharacteristic
1503C42D4×D7911yescharacteristic
1504C42C23×D7911yescharacteristic
1505C42C23×D7911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—3162no—
1509C23—3162no—
1510C23—3162no—
1511C23—791no—
1512C23—791no—
1513C23—6321no—
1514C23—6321no—
1515C23—6321no—
1516C23—1581no—
1517C23—1581no—
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—21no—
1533D4—42no—
1534D4—81no—
1535D4—3162no—
1536D4—3161no—
1537D4—3162no—
1538D4—3161no—
1539D4—3161no—
1540D4—3162no—
1541D4—792no—
1542D4—6321no—
1543D4—6321no—
1544D4—6321no—
1545D4—6321no—
1546D4—6321no—
1547D4—6321no—
1548D4—6321no—
1549D4—1581no—
1550D4—1581no—
1551D4—1581no—
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—41no—
1561C2×C4—41no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—3162no—
1565C2×C4—3162no—
1566C2×C4—791no—
1567C2×C4—791no—
1568C2×C4—791no—
1569C2×C4—791no—
1570C2×C4—791no—
1571C2×C4—791no—
1572C2×C4—6321no—
1573C2×C4—6321no—
1574C2×C4—6321no—
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—1581no—
1585C2×C4—1581no—
1586C2×C4—1581no—
1587C2×C4—1581no—
1588C2×C4—1581no—
1589C2×C4—1581no—
1590C2×C4—1581no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4—1581no—
1594C2×C4C2×D4×D7911yescharacteristic
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—21no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—3161no—
1618C22—3161no—
1619C22—3161no—
1620C22—3161no—
1621C22—3161no—
1622C22—6324no—
1623C22—1582no—
1624C22—1581no—
1625C22—1581no—
1626C22—1581no—
1627C22—1581no—
1628C22—1581no—
1629C22—1581no—
1630C22—12642no—
1631C22C22×D4×D7911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—1581no—
1650C4—1581no—
1651C4—1581no—
1652C4—1581no—
1653C4—1581no—
1654C4—1581no—
1655C42−1+4×D7911yescharacteristic
1656C4#1909939811yescharacteristic
1657C2—41no—
1658C2—81no—
1659C2—81no—
1660C2—3162no—
1661C2—3161no—
1662C2—3161no—
1663C2—6321no—
1664C2#2377707511yescharacteristic
1665C2#2377817311yescharacteristic
1666C2#2377817711yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3256C2
socleC22×C79C23×D4
hypercenter#3256D79
hypocenterC79#62175
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3256

Complements

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

NH ≅ G/Ntype
1. #23778037C2semidirect
2. #23777334C2semidirect
3. #23776358C2semidirect
4. #23776278C2semidirect
5. #23776172C2semidirect
6. #23776055C2semidirect
7. #23775990C2semidirect
8. #23775966C2semidirect
9. #23775957C2semidirect
10. #23775925C2semidirect
11. #23775835C2semidirect
12. #23775799C2semidirect
13. #23775626C2semidirect
14. #23775622C2semidirect
15. #23775608C2semidirect
16. #23775551C2semidirect
17. #23775536C2semidirect
18. #23775242C2semidirect
19. #23774859C2semidirect
20. #23774816C2semidirect
21. #23774705C2semidirect
22. #23774650C2semidirect
23. #23774575C2semidirect
24. #23773676C2semidirect
25. #23773581C2semidirect
26. #23773443C2semidirect
27. #23773254C2semidirect
28. #23773230C2semidirect
29. #23773199C2semidirect
30. #23772545C2semidirect
31. C79×#3256C2semidirect
35. #19099289C22semidirect
38. #19099277C22semidirect
39. #19099272C22semidirect
42. #19099263C22semidirect
46. #19099254C22semidirect
47. #19099247C22semidirect
56. #19099193C22semidirect
57. #19099193C22semidirect
59. #19099182C22semidirect
60. #19099182C22semidirect
68. #19099120C22semidirect
75. #19098971C22semidirect
76. #19098970C22semidirect
77. #19098964C22semidirect
78. #19098962C22semidirect
79. #19098962C22semidirect
80. #19098960C22semidirect
82. #19098924C22semidirect
83. #19098919C22semidirect
84. #19098917C22semidirect
85. #19098917C22semidirect
87. #19098903C22semidirect
88. #19098902C22semidirect
89. #19098901C22semidirect
90. #19098901C22semidirect
91. #19098896C22semidirect
92. #19098892C22semidirect
93. #19098892C22semidirect
95. #19098890C22semidirect
96. #19098885C22semidirect
97. #19098885C22semidirect
101. #19098883C22semidirect
102. #19098880C22semidirect
103. #19098879C22semidirect
104. #19098875C22semidirect
105. #19098872C22semidirect
106. #19098868C22semidirect
107. #19098865C22semidirect
108. #19098865C22semidirect
111. #19098864C22semidirect
112. #19098864C22semidirect
116. #19098860C22semidirect
117. #19098858C22semidirect
118. #19098856C22semidirect
119. #19098856C22semidirect
121. #19098854C22semidirect
122. #19098853C22semidirect
123. #19098851C22semidirect
124. #19098848C22semidirect
126. #19098844C22semidirect
127. #19098843C22semidirect
130. #19098841C22semidirect
131. #19098813C22semidirect
133. #19098812C22semidirect
134. #19098806C22semidirect
135. #19098801C22semidirect
137. #19098798C22semidirect
138. #19098789C22semidirect
139. #19098787C22semidirect
140. #19098780C22semidirect
142. #19098775C22semidirect
151. #19098690C22semidirect
152. #19098687C22semidirect
155. #19098670C22semidirect
156. #19098664C22semidirect
157. SD16×Dic79C22semidirect
159. C4×#11929611C22semidirect
162. D8×Dic79C22semidirect
164. C4×#11929609C22semidirect
165. #19098640C22semidirect
167. #19098639C22semidirect
169. #19098632C22semidirect
170. #19098628C22semidirect
171. #19098623C22semidirect
172. #19098623C22semidirect
173. #19098616C22semidirect
174. #19098605C22semidirect
175. #19098605C22semidirect
176. #19098604C22semidirect
177. #19098602C22semidirect
178. #19098598C22semidirect
179. #107×D79C22semidirect
180. #19098588C22semidirect
181. #19098588C22semidirect
189. #529×C79C22semidirect
190. #479×C79C22semidirect
191. #479×C79C22semidirect
192. #478×C79C22semidirect
193. #478×C79C22semidirect
194. #470×C79C22semidirect
197. #468×C79C22semidirect
198. #464×C79C22semidirect
199. #464×C79C22semidirect
200. #463×C79C22semidirect
201. #463×C79C22semidirect
202. #423×C79C22semidirect
854. #3256D79semidirect
865. C79#62175semidirect
905. #529C2×D79semidirect
943. #479C2×D79semidirect
944. #479C2×D79semidirect
955. #478C2×D79semidirect
956. #478C2×D79semidirect
971. #470C2×D79semidirect
978. #468C2×D79semidirect
984. #464C2×D79semidirect
985. #464C2×D79semidirect
989. #463C2×D79semidirect
990. #463C2×D79semidirect
1030. #423C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780372
#237773342
#237763582
#237762782
#237761722
#237760552
#237759902
#237759662
#237759572
#237759252
#237758352
#237757992
#237756262
#237756222
#237756082
#237755512
#237755362
#237752422
#237748592
#237748162
#237747052
#237746502
#237745752
#237736762
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