Finite Group Databasebeta

← #35185486

Subgroups — #35185486

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#23778033C211yesmaximal, characteristic, complemented
2#23777328C211yesmaximal, characteristic, complemented
3#23776357C211yesmaximal, characteristic, complemented
4#23776279C211yesmaximal, characteristic, complemented
5#23776175C211yesmaximal, characteristic, complemented
6#23776063C211yesmaximal, characteristic, complemented
7#23775992C211yesmaximal, characteristic, complemented
8#23775961C211yesmaximal, characteristic, complemented
9#23775956C211yesmaximal, characteristic, complemented
10#23775926C211yesmaximal, characteristic, complemented
11#23775847C211yesmaximal, characteristic, complemented
12#23775802C211yesmaximal, characteristic, complemented
13#23775627C211yesmaximal, characteristic, complemented
14#23775613C211yesmaximal, characteristic, complemented
15#23775597C211yesmaximal, characteristic, complemented
16#23775553C211yesmaximal, characteristic, complemented
17#23775537C211yesmaximal, characteristic, complemented
18#23775231C211yesmaximal, characteristic, complemented
19#23774861C211yesmaximal, characteristic, complemented
20#23774818C211yesmaximal, characteristic, complemented
21#23774800C211yesmaximal, characteristic, complemented
22#23774698C211yesmaximal, characteristic, complemented
23#23774650C211yesmaximal, characteristic, complemented
24#23774577C211yesmaximal, characteristic, complemented
25#23773682C211yesmaximal, characteristic, complemented
26#23773584C211yesmaximal, characteristic, complemented
27#23773452C211yesmaximal, characteristic, complemented
28#23773252C211yesmaximal, characteristic, complemented
29#23773198C211yesmaximal, characteristic, complemented
30#23772547C211yesmaximal, characteristic, complemented
31C79×#3081C211yesmaximal, characteristic, complemented
32#19099312—21no—
33#19099309—21no—
34#19099296C2211yescharacteristic
35#19099288C2211yescharacteristic, complemented
36#19099287—21no—
37#19099281C2211yescharacteristic
38#19099279C2211yescharacteristic, complemented
39#19099270C2211yescharacteristic
40#19099269C2211yescharacteristic, complemented
41#19099261C2211yescharacteristic
42#19099259—21no—
43#19099257C2211yescharacteristic
44#19099257C2211yescharacteristic, complemented
45#19099252C2211yescharacteristic
46#19099251C2211yescharacteristic, complemented
47#19099248C2211yescharacteristic, complemented
48#19099247—21no—
49#19099242—21no—
50#19099239—21no—
51#19099218C2211yescharacteristic
52#19099208C2211yescharacteristic
53#19099207C2211yescharacteristic
54#19099203—21no—
55D4×C22⋊D79C2211yescharacteristic
56#19099193C2211yescharacteristic, complemented
57#19099187C2211yescharacteristic, complemented
58#19099186—21no—
59#19099184C2211yescharacteristic
60#19099184C2211yescharacteristic, complemented
61#19099183—21no—
62#19099172—21no—
63#19099164C2211yescharacteristic
64#19099161—21no—
65#19099155—21no—
66#19099151—21no—
67#19099118C2211yescharacteristic, complemented
68#19099098C2211yescharacteristic, complemented
69#19099095C2211yescharacteristic
70#19099091C2211yescharacteristic
71#19099072—21no—
72C2×#14579143—21no—
73#19099042C2211yescharacteristic
74C4×D4×D79C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098970C2211yescharacteristic, complemented
77#19098964C2211yescharacteristic, complemented
78#19098964C2211yescharacteristic, complemented
79#19098964C2211yescharacteristic, complemented
80#19098959C2211yescharacteristic, complemented
81#19098926C2211yescharacteristic
82#19098925C2211yescharacteristic, complemented
83#19098920C2211yescharacteristic, complemented
84#19098916C2211yescharacteristic, complemented
85#19098916C2211yescharacteristic, complemented
86#19098908C2211yescharacteristic
87#19098906C2211yescharacteristic, complemented
88#19098906C2211yescharacteristic, complemented
89#19098904C2211yescharacteristic, complemented
90#19098904C2211yescharacteristic, complemented
91#19098900C2211yescharacteristic, complemented
92#19098895C2211yescharacteristic, complemented
93#19098893C2211yescharacteristic, complemented
94#19098890C2211yescharacteristic, complemented
95#19098887C2211yescharacteristic
96#19098887C2211yescharacteristic, complemented
97#19098885C2211yescharacteristic
98#19098885C2211yescharacteristic
99#19098885C2211yescharacteristic, complemented
100#19098883C2211yescharacteristic, complemented
101#19098883C2211yescharacteristic, complemented
102#19098883C2211yescharacteristic, complemented
103#19098881C2211yescharacteristic
104#19098875C2211yescharacteristic, complemented
105#19098873C2211yescharacteristic, complemented
106#19098869C2211yescharacteristic, complemented
107#19098869C2211yescharacteristic, complemented
108#19098867C2211yescharacteristic, complemented
109#19098866C2211yescharacteristic, complemented
110#19098862C2211yescharacteristic, complemented
111#19098862C2211yescharacteristic, complemented
112#19098862C2211yescharacteristic, complemented
113#19098861C2211yescharacteristic
114#19098861C2211yescharacteristic
115#19098861C2211yescharacteristic
116#19098860C2211yescharacteristic, complemented
117#19098859C2211yescharacteristic, complemented
118#19098859C2211yescharacteristic, complemented
119#19098857C2211yescharacteristic, complemented
120#19098853C2211yescharacteristic, complemented
121#19098850C2211yescharacteristic, complemented
122#19098845C2211yescharacteristic, complemented
123#19098844C2211yescharacteristic, complemented
124#19098844C2211yescharacteristic, complemented
125#19098843C2211yescharacteristic
126#19098841C2211yescharacteristic
127#19098822C2211yescharacteristic, complemented
128#19098815C2211yescharacteristic
129#19098815C2211yescharacteristic, complemented
130#19098810C2211yescharacteristic, complemented
131#19098810C2211yescharacteristic, complemented
132#19098809C2211yescharacteristic
133#19098809C2211yescharacteristic, complemented
134#19098808C2211yescharacteristic
135#19098804C2211yescharacteristic, complemented
136#19098800C2211yescharacteristic, complemented
137#19098799C2211yescharacteristic
138#19098791C2211yescharacteristic, complemented
139#19098786C2211yescharacteristic, complemented
140#19098786C2211yescharacteristic, complemented
141#19098784C2211yescharacteristic, complemented
142#19098779C2211yescharacteristic, complemented
143#19098779C2211yescharacteristic, complemented
144#19098778C2211yescharacteristic
145#19098778C2211yescharacteristic, complemented
146#19098777C2211yescharacteristic, complemented
147#19098762C2211yescharacteristic
148#19098757C2211yescharacteristic
149#19098726C2211yescharacteristic
150#19098715C2211yescharacteristic
151#19098714C2211yescharacteristic
152#19098709C2211yescharacteristic
153#19098698C2211yescharacteristic
154#19098697C2211yescharacteristic
155#19098692C2211yescharacteristic, complemented
156#19098687C2211yescharacteristic, complemented
157#19098673C2211yescharacteristic
158#19098672C2211yescharacteristic
159#19098669C2211yescharacteristic, complemented
160#19098663C2211yescharacteristic, complemented
161#19098654C2211yescharacteristic
162#19098654C2211yescharacteristic
163#19098650C2211yescharacteristic, complemented
164#19098650C2211yescharacteristic, complemented
165C4×#11929612C2211yescharacteristic
166#19098645C2211yescharacteristic, complemented
167C4×#11929609C2211yescharacteristic, complemented
168#19098643C2211yescharacteristic
169#19098640C2211yescharacteristic, complemented
170#19098639C2211yescharacteristic
171#19098639C2211yescharacteristic, complemented
172#19098634C2211yescharacteristic
173#19098633C2211yescharacteristic, complemented
174C8×C22⋊D79C2211yescharacteristic, complemented
175#19098624C2211yescharacteristic, complemented
176#19098623C2211yescharacteristic, complemented
177#19098615C2211yescharacteristic, complemented
178#19098602C2211yescharacteristic, complemented
179#19098602C2211yescharacteristic, complemented
180#19098602C2211yescharacteristic, complemented
181#107×D79C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183#19098585C2211yescharacteristic, complemented
184#19098566C2211yescharacteristic
185#19098566C2211yescharacteristic
186#19098561C2211yescharacteristic
187#19098556C2211yescharacteristic
188#544×C79C2211yescharacteristic, complemented
189#518×C79C2211yescharacteristic
190#478×C79C2211yescharacteristic
191#478×C79C2211yescharacteristic
192#478×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic, complemented
194#476×C79C2211yescharacteristic
195#476×C79C2211yescharacteristic, complemented
196#474×C79C2211yescharacteristic
197#474×C79C2211yescharacteristic, complemented
198#428×C79C2211yescharacteristic, complemented
199#427×C79C2211yescharacteristic, complemented
200#424×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic
202C2×#102×C79C2211yescharacteristic
203C2×#11929624—21no—
204C2×#11929623C2311yescharacteristic
205C22×C22⋊D79—21no—
206C2×D4×D79C2311yescharacteristic
207C22×C4×D79—21no—
208C2×Dic316C2311yescharacteristic
209C2×#11929613C2311yescharacteristic
210C2×#11929613C2311yescharacteristic
211C2×#11929612C2311yescharacteristic
212C2×#11929612C2311yescharacteristic
213C2×D632C2311yescharacteristic
214C2×#11929609C2311yescharacteristic
215C2×#11929609C2311yescharacteristic
216C2×#11929607C2311yescharacteristic
217C2×#11929607C2311yescharacteristic
218C2×#11929607C2311yescharacteristic
219C2×C8×D79C2311yescharacteristic
220#14579161C2311yescharacteristic
221#14579161C2311yescharacteristic
222#14579160—21no—
223#14579160C2311yescharacteristic
224#14579159—21no—
225#14579157C2311yescharacteristic
226#14579156—21no—
227#14579156—21no—
228#14579156—21no—
229#14579156—21no—
230#14579156—21no—
231#14579156—21no—
232#14579156—21no—
233#14579156D411yescharacteristic
234#14579155—21no—
235#14579155—21no—
236#14579155—21no—
237#14579154—21no—
238#14579154—21no—
239#14579154—21no—
240#14579154D411yescharacteristic
241#14579153—21no—
242#14579152—21no—
243#14579152C2311yescharacteristic
244#14579152C2311yescharacteristic
245#14579152C2311yescharacteristic
246#14579152C2311yescharacteristic
247#14579152C2311yescharacteristic
248#14579151—21no—
249#14579151—21no—
250#14579151—21no—
251#14579151—21no—
252#14579151D411yescharacteristic
253#14579150—21no—
254#14579150—21no—
255#14579150—21no—
256#14579149C2311yescharacteristic
257#14579149C2311yescharacteristic
258#14579148C2311yescharacteristic
259#14579147—21no—
260#14579147—21no—
261#14579147—21no—
262#14579147—21no—
263#14579147D411yescharacteristic
264#14579146—21no—
265#14579146—21no—
266#14579146—21no—
267#14579146—21no—
268#14579146D411yescharacteristic
269#14579145—21no—
270#14579144—21no—
271#14579144—21no—
272#14579144—21no—
273#14579143—21no—
274#14579143—21no—
275#14579143—21no—
276#14579143—21no—
277#14579143—21no—
278#14579143—21no—
279#14579143—21no—
280#14579143—21no—
281#14579143—21no—
282#14579143—21no—
283#14579143D411yescharacteristic
284#14579142—21no—
285#14579141—21no—
286#14579141—21no—
287#14579141—21no—
288#14579141C2311yescharacteristic
289#14579141C2311yescharacteristic
290#14579141C2311yescharacteristic
291#14579140—21no—
292#14579140—21no—
293#14579140C2311yescharacteristic
294#14579140C2311yescharacteristic
295#14579139—21no—
296#14579139—21no—
297#14579139—21no—
298#14579139—21no—
299#14579139—21no—
300#14579139D411yescharacteristic
301#14579138—21no—
302#14579138—21no—
303#14579137—21no—
304#14579137—21no—
305#14579136—21no—
306#14579136C2311yescharacteristic
307#14579136C2311yescharacteristic
308#14579136C2311yescharacteristic
309#14579135—21no—
310#14579135—21no—
311#14579135—21no—
312#14579135C2311yescharacteristic
313#14579135C2311yescharacteristic
314#14579134—21no—
315#14579134—21no—
316#14579134—21no—
317#14579134D411yescharacteristic
318#14579133—21no—
319#14579133—21no—
320#14579132C2311yescharacteristic
321#14579132C2311yescharacteristic
322#14579131—21no—
323#14579130—21no—
324#14579130—21no—
325#14579129—21no—
326Q8×Dic79—21no—
327Q8×Dic79—21no—
328C4×Dic158—21no—
329C4×Dic158C2311yescharacteristic
330C4×Dic158C2311yescharacteristic
331C4×Dic158C2311yescharacteristic
332#14579126—21no—
333#14579126C2311yescharacteristic
334#14579126C2311yescharacteristic
335#14579126C2311yescharacteristic
336C4×D316—21no—
337C4×D316—21no—
338C4×D316C2311yescharacteristic
339C4×D316C2311yescharacteristic
340C4×D316C2311yescharacteristic
341D4×Dic79C2311yescharacteristic
342D4×Dic79C2311yescharacteristic
343#14579123—21no—
344#14579123C2311yescharacteristic
345#14579123C2311yescharacteristic
346#14579123C2311yescharacteristic
347C4×C22⋊D79—21no—
348C4×C22⋊D79—21no—
349C4×C22⋊D79—21no—
350C4×C22⋊D79—21no—
351C4×C22⋊D79—21no—
352C4×C22⋊D79C2311yescharacteristic
353C4×C22⋊D79C2311yescharacteristic
354(C22⋊D79)⋊C4—21no—
355(C22⋊D79)⋊C4—21no—
356#14579120—21no—
357#14579120—21no—
358#14579119—21no—
359#14579119—21no—
360#14579119—21no—
361#14579119C2311yescharacteristic
362#14579119C2311yescharacteristic
363#14579119C2311yescharacteristic
364#14579118—21no—
365#14579118C2311yescharacteristic
366#14579117—21no—
367C2×C4⋊Dic79—21no—
368C2×Dic79⋊C4—21no—
369C4⋊C4×D79—21no—
370C4⋊C4×D79C2311yescharacteristic
371C4⋊C4×D79C2311yescharacteristic
372C4⋊C4×D79C2311yescharacteristic
373C2×C22⋊Dic79—21no—
374C2×(C2×D79)⋊C4—21no—
375C22⋊C4×D79—21no—
376C42×D79C2311yescharacteristic
377#14579095C2311yescharacteristic
378#14579095C2311yescharacteristic
379#14579095C2311yescharacteristic
380#14579095C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579094C2311yescharacteristic
385#14579092C2311yescharacteristic
386#14579092C2311yescharacteristic
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#14579086C2311yescharacteristic
400#14579086C2311yescharacteristic
401#14579086C2311yescharacteristic
402#14579086C2311yescharacteristic
403#14579084C2311yescharacteristic
404#14579084C2311yescharacteristic
405#14579084C2311yescharacteristic
406#14579084C2311yescharacteristic
407#14579084C2311yescharacteristic
408#14579084C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579082C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579081C2311yescharacteristic
418#14579081C2311yescharacteristic
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#14579072C2311yescharacteristic
430#14579071C2311yescharacteristic
431C4×C79⋊C8C2311yescharacteristic
432C8×Dic79C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C22×D4×C79C2311yescharacteristic
436C2×M16×C79C2311yescharacteristic
437C22×C8×C79C2311yescharacteristic
438C4⋊Q8×C79—21no—
439C4⋊Q8×C79C2311yescharacteristic
440C4⋊Q8×C79C2311yescharacteristic
441#125×C79—21no—
442#125×C79C2311yescharacteristic
443#125×C79C2311yescharacteristic
444C22⋊Q8×C79—21no—
445C22⋊Q8×C79—21no—
446C4×D4×C79—21no—
447C4×D4×C79—21no—
448C4×D4×C79C2311yescharacteristic
449C4×D4×C79C2311yescharacteristic
450C4×D4×C79C2311yescharacteristic
451C4×D4×C79C2311yescharacteristic
452#117×C79C2311yescharacteristic
453#117×C79C2311yescharacteristic
454#117×C79C2311yescharacteristic
455C2×C4⋊C4×C79C2311yescharacteristic
456C2×C22⋊C4×C79—21no—
457C2×C22⋊C4×C79—21no—
458#107×C79C2311yescharacteristic
459#107×C79C2311yescharacteristic
460#107×C79C2311yescharacteristic
461#107×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464#106×C79C2311yescharacteristic
465#106×C79C2311yescharacteristic
466C4⋊C8×C79C2311yescharacteristic
467C4⋊C8×C79C2311yescharacteristic
468C4⋊C8×C79C2311yescharacteristic
469C4⋊C8×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478C23×D79—21no—
479#11929624—82no—
480#11929623—22no—
481#11929623—41no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158C2×D411yescharacteristic
486C2×Dic158C2411yescharacteristic
487C2×Dic158C2411yescharacteristic
488C2×D316—21no—
489C2×D316—21no—
490C2×D316—21no—
491C2×D316C2×D411yescharacteristic
492C2×D316C2411yescharacteristic
493C2×D316C2411yescharacteristic
494C2×C22⋊D79—21no—
495C2×C22⋊D79—21no—
496C2×C22⋊D79—21no—
497C2×C22⋊D79—21no—
498C2×C22⋊D79—21no—
499C2×C22⋊D79—21no—
500C2×C22⋊D79—21no—
501C2×C22⋊D79—21no—
502C2×C22⋊D79—82no—
503C2×C22⋊D79C2×D411yescharacteristic
504C2×C22⋊D79C2×D411yescharacteristic
505D4×D79—22no—
506D4×D79—41no—
507C22×Dic79—21no—
508C22×Dic79—21no—
509C22×Dic79—21no—
510C2×C4×D79—21no—
511C2×C4×D79—21no—
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×D79—82no—
519C2×C4×D79C2×D411yescharacteristic
520C2×C4×D79C2×D411yescharacteristic
521C2×C4×D79C2411yescharacteristic
522C2×C4×D79C2411yescharacteristic
523Dic316—41no—
524#11929613—41no—
525#11929613—41no—
526#11929612—22no—
527#11929612—41no—
528D632—41no—
529#11929609—22no—
530#11929609—41no—
531#11929607—41no—
532#11929607—41no—
533#11929607—41no—
534C2×C79⋊C8C2411yescharacteristic
535C2×C79⋊C8C2411yescharacteristic
536C2×C79⋊C8C2411yescharacteristic
537C2×C79⋊C8C2411yescharacteristic
538C8×D79—41no—
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⋊Dic79—21no—
548C4⋊Dic79—21no—
549C4⋊Dic79C2×D411yescharacteristic
550C4⋊Dic79C2×D411yescharacteristic
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
577C22⋊Dic79—21no—
578C22⋊Dic79—21no—
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583C22⋊Dic79—21no—
584C22⋊Dic79—21no—
585C22⋊Dic79C2×D411yescharacteristic
586C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
604(C2×D79)⋊C4—21no—
605(C2×D79)⋊C4—21no—
606(C2×D79)⋊C4—21no—
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×Dic79C2×D411yescharacteristic
622C4×Dic79C2×D411yescharacteristic
623C4×Dic79C2411yescharacteristic
624C4×Dic79C2411yescharacteristic
625C24×C79—21no—
626C2×Q8×C79—21no—
627C2×Q8×C79—21no—
628C2×D4×C79—22no—
629C2×D4×C79—21no—
630C2×D4×C79—41no—
631C2×D4×C79C2411yescharacteristic
632C2×D4×C79C2411yescharacteristic
633C22×C4×C79—21no—
634C22×C4×C79—21no—
635C22×C4×C79—21no—
636C22×C4×C79—21no—
637C22×C4×C79—21no—
638C22×C4×C79C2411yescharacteristic
639M16×C79—41no—
640C2×C8×C79—41no—
641C2×C8×C79C2411yescharacteristic
642C2×C8×C79C2411yescharacteristic
643C2×C8×C79C2411yescharacteristic
644C2×C8×C79C2411yescharacteristic
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×C79C2×D411yescharacteristic
653C4⋊C4×C79C2×D411yescharacteristic
654C4⋊C4×C79C2411yescharacteristic
655C4⋊C4×C79C2411yescharacteristic
656C4⋊C4×C79C2411yescharacteristic
657C4⋊C4×C79C2411yescharacteristic
658C4⋊C4×C79C2411yescharacteristic
659C4⋊C4×C79C2411yescharacteristic
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×C79C2×D411yescharacteristic
667C22⋊C4×C79C2×D411yescharacteristic
668C42×C79—21no—
669C42×C79—21no—
670C42×C79C2411yescharacteristic
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—42no—
675C23×C79—81no—
676C23×C79—81no—
677C23×C79C22×D411yescharacteristic
678C22×D79—21no—
679C22×D79—21no—
680C22×D79—42no—
681C22×D79—42no—
682C22×D79—81no—
683C22×D79C22×D411yescharacteristic
684C22×D79C22×D411yescharacteristic
685Q8×C79—81no—
686Q8×C79—81no—
687D4×C79—21no—
688D4×C79—21no—
689D4×C79—21no—
690D4×C79—42no—
691D4×C792−1+412yes—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—21no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—81no—
701C2×C4×C79—81no—
702C2×C4×C79—81no—
703C2×C4×C79—81no—
704C2×C4×C79—81no—
705C2×C4×C79C22×D411yescharacteristic
706C2×C4×C79C22×D411yescharacteristic
707C2×C4×C79C22×D411yescharacteristic
708C2×C4×C79C22×D411yescharacteristic
709C2×C4×C79C22×D411yescharacteristic
710C2×C4×C79C2511yescharacteristic
711C22⋊D79—41no—
712C22⋊D79—41no—
713C22⋊D79—42no—
714C22⋊D79—42no—
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×Dic79C22×D411yescharacteristic
731C2×Dic79C22×D411yescharacteristic
732C2×Dic79C22×D411yescharacteristic
733C2×Dic79C22×D411yescharacteristic
734C2×Dic79C22×D411yescharacteristic
735C2×Dic79C22×D411yescharacteristic
736D316—21no—
737D316—21no—
738D316—21no—
739D316—21no—
740D316—41no—
741D316—81no—
742D316—81no—
743D316—81no—
744C4×D79—21no—
745C4×D79—21no—
746C4×D79—21no—
747C4×D79—21no—
748C4×D79—41no—
749C4×D79—41no—
750C4×D79—42no—
751C4×D79—81no—
752C4×D79—81no—
753C4×D79—81no—
754C4×D79—81no—
755C4×D79—81no—
756C4×D79—81no—
757C4×D79—81no—
758Dic158—21no—
759Dic158—21no—
760Dic158—21no—
761Dic158—21no—
762Dic158—41no—
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—22no—
777C22×C79—21no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—162no—
784C22×C79C23×D411yescharacteristic
785C2×D79—21no—
786C2×D79—21no—
787C2×D79—21no—
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—84no—
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—42no—
825C2×C79—41no—
826C2×C79—81no—
827C2×C79#348911yescharacteristic
828C2×C79#358411yescharacteristic
829C2×C79#358511yescharacteristic
830D79—41no—
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#3323—791no—
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#3081D7911yescharacteristic, complemented
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#544C2×D7911yescharacteristic, complemented
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#518C2×D7911yescharacteristic
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#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#478C2×D7911yescharacteristic
954#478C2×D7911yescharacteristic
955#478C2×D7911yescharacteristic, complemented
956#478C2×D7911yescharacteristic, complemented
957#477—791no—
958#477—791no—
959#477—791no—
960#476—791no—
961#476—791no—
962#476C2×D7911yescharacteristic
963#476C2×D7911yescharacteristic, complemented
964#475—791no—
965#474—791no—
966#474—791no—
967#474—791no—
968#474—791no—
969#474C2×D7911yescharacteristic
970#474C2×D7911yescharacteristic, complemented
971#470—791no—
972#469—791no—
973#469—791no—
974#468—791no—
975#468—791no—
976#468—791no—
977#468—791no—
978#468—791no—
979#467—791no—
980#466—791no—
981#466—791no—
982#465—791no—
983#464—791no—
984#464—791no—
985#464—791no—
986#463—791no—
987#463—791no—
988#463—791no—
989#463—791no—
990#463—791no—
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#428C2×D7911yescharacteristic, complemented
1026#427C2×D7911yescharacteristic, complemented
1027C2×#107—791no—
1028#424—791no—
1029#424C2×D7911yescharacteristic, complemented
1030#423—791no—
1031#418—791no—
1032#418—791no—
1033#418C2×D7911yescharacteristic
1034#417—791no—
1035#416—791no—
1036C2×#102C2×D7911yescharacteristic
1037C2×#41—791no—
1038C2×#41—1581no—
1039C22×D4—791no—
1040C22×D4—1581no—
1041C22×D4C22×D7911yescharacteristic
1042C23×C4—1581no—
1043C2×Q16—791no—
1044C2×SD16—791no—
1045C2×SD16—791no—
1046C2×SD16—791no—
1047C2×SD16—791no—
1048C2×D8—791no—
1049C2×D8—791no—
1050C2×D8—791no—
1051C2×M16—791no—
1052C2×M16—791no—
1053C2×M16—791no—
1054C2×M16C22×D7911yescharacteristic
1055C22×C8—791no—
1056C22×C8C22×D7911yescharacteristic
1057C4⋊Q8—21no—
1058C4⋊Q8—791no—
1059C4⋊Q8—791no—
1060C4⋊Q8—791no—
1061C4⋊Q8—1581no—
1062C4⋊Q8—1581no—
1063C4⋊Q8C22×D7911yescharacteristic
1064C4⋊Q8C22×D7911yescharacteristic
1065#127—791no—
1066#126—791no—
1067#126—791no—
1068#126—1581no—
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—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—791no—
1099#124—791no—
1100#124—1581no—
1101#124—1581no—
1102#124—1581no—
1103#124—1581no—
1104#124—1581no—
1105#124—1581no—
1106#124—1581no—
1107#123—791no—
1108#123—791no—
1109#123—1581no—
1110#123—1581no—
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—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—791no—
1131C22⋊Q8—791no—
1132C22⋊Q8—791no—
1133C22⋊Q8—791no—
1134C22⋊Q8—791no—
1135C22⋊Q8—791no—
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⋊Q8—1581no—
1149C22⋊Q8—1581no—
1150#121—791no—
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#121—1581no—
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—791no—
1176C4×Q8—791no—
1177C4×Q8—1581no—
1178C4×Q8—1581no—
1179C4×Q8—1581no—
1180C4×Q8—1581no—
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—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×D4C22×D7911yescharacteristic
1204C4×D4C22×D7911yescharacteristic
1205C4×D4C22×D7911yescharacteristic
1206C4×D4C22×D7911yescharacteristic
1207#117—791no—
1208#117—791no—
1209#117—791no—
1210#117—791no—
1211#117—1581no—
1212#117—1581no—
1213#117—1581no—
1214#117—1581no—
1215#117—1581no—
1216#117—1581no—
1217#117—1581no—
1218#117C22×D7911yescharacteristic
1219#117C22×D7911yescharacteristic
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—21no—
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#107C22×D7911yescharacteristic
1243#107C22×D7911yescharacteristic
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#106C22×D7911yescharacteristic
1255#106C22×D7911yescharacteristic
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#103—791no—
1275#103—791no—
1276#103—791no—
1277#103—791no—
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#102C22×D7911yescharacteristic
1293#102C22×D7911yescharacteristic
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⋊C8—791no—
1305C22⋊C8—791no—
1306#97—791no—
1307#97—791no—
1308C4×C8—791no—
1309C4×C8—791no—
1310C4×C8—791no—
1311C4×C8—791no—
1312C24—21no—
1313C24—1581no—
1314#41—3161no—
1315#41—6322no—
1316#41—1582no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—791no—
1320C2×Q8—791no—
1321C2×Q8—791no—
1322C2×Q8—1581no—
1323C2×Q8—1581no—
1324C2×Q8—1581no—
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—41no—
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—1581no—
1337C2×D4—1581no—
1338C2×D4—1581no—
1339C2×D4—1581no—
1340C2×D4—1581no—
1341C2×D4—1581no—
1342C2×D4—1581no—
1343C2×D4—1582no—
1344C2×D4—1581no—
1345C2×D4—1581no—
1346C2×D4—1581no—
1347C2×D4C23×D7911yescharacteristic
1348C2×D4C23×D7911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—791no—
1355C22×C4—791no—
1356C22×C4—791no—
1357C22×C4—791no—
1358C22×C4—6322no—
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×C4—1581no—
1370C22×C4C23×D7911yescharacteristic
1371Q16—3161no—
1372SD16—3161no—
1373SD16—3161no—
1374SD16—3161no—
1375SD16—1582no—
1376D8—3161no—
1377D8—3161no—
1378D8—1582no—
1379M16—41no—
1380M16—3161no—
1381M16—3161no—
1382M16—3161no—
1383C2×C8—41no—
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—1581no—
1413C4⋊C4—1581no—
1414C4⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1439C4⋊C4D4×D7911yescharacteristic
1440C4⋊C4C23×D7911yescharacteristic
1441C4⋊C4C23×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—791no—
1453C22⋊C4—791no—
1454C22⋊C4—791no—
1455C22⋊C4—791no—
1456C22⋊C4—791no—
1457C22⋊C4—791no—
1458C22⋊C4—791no—
1459C22⋊C4—791no—
1460C22⋊C4—1581no—
1461C22⋊C4—1581no—
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—1581no—
1497C42—1581no—
1498C42—1581no—
1499C42—1581no—
1500C42—1581no—
1501C42—1581no—
1502C42—1581no—
1503C42—1581no—
1504C42C23×D7911yescharacteristic
1505C42C23×D7911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—42no—
1509C23—81no—
1510C23—81no—
1511C23—3162no—
1512C23—3162no—
1513C23—791no—
1514C23—791no—
1515C23—6321no—
1516C23—1581no—
1517C23—1581no—
1518C23C2×D4×D7911yescharacteristic
1519Q8—81no—
1520Q8—81no—
1521Q8—3161no—
1522Q8—6321no—
1523Q8—6321no—
1524Q8—6321no—
1525Q8—1581no—
1526Q8—1581no—
1527Q8—1581no—
1528Q8—1581no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—42no—
1533D4—3161no—
1534D4—3162no—
1535D4—3162no—
1536D4—3162no—
1537D4—3161no—
1538D4—3161no—
1539D4—6321no—
1540D4—6321no—
1541D4—6321no—
1542D4—6321no—
1543D4—6321no—
1544D4—6321no—
1545D4—6321no—
1546D4—6321no—
1547D4—1581no—
1548D4—1581no—
1549D4—1581no—
1550D4—1581no—
1551D4#1457920912yes—
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—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—3161no—
1566C2×C4—3161no—
1567C2×C4—3162no—
1568C2×C4—3162no—
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—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—22no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—162no—
1618C22—3161no—
1619C22—3161no—
1620C22—3161no—
1621C22—3161no—
1622C22—3161no—
1623C22—3161no—
1624C22—6324no—
1625C22—1581no—
1626C22—1581no—
1627C22—1581no—
1628C22—1581no—
1629C22—1581no—
1630C22—1581no—
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—
1655C4C2×#1457920911yescharacteristic
1656C4#1909939911yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—3161no—
1661C2—3161no—
1662C2—6321no—
1663C2—6321no—
1664C2#2377707611yescharacteristic
1665C2#2377816811yescharacteristic
1666C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3081C2
socleC22×C79C23×D4
hypercenter#3081D79
hypocenterC79#62175
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3081

Complements

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

NH ≅ G/Ntype
1. #23778033C2semidirect
2. #23777328C2semidirect
3. #23776357C2semidirect
4. #23776279C2semidirect
5. #23776175C2semidirect
6. #23776063C2semidirect
7. #23775992C2semidirect
8. #23775961C2semidirect
9. #23775956C2semidirect
10. #23775926C2semidirect
11. #23775847C2semidirect
12. #23775802C2semidirect
13. #23775627C2semidirect
14. #23775613C2semidirect
15. #23775597C2semidirect
16. #23775553C2semidirect
17. #23775537C2semidirect
18. #23775231C2semidirect
19. #23774861C2semidirect
20. #23774818C2semidirect
21. #23774800C2semidirect
22. #23774698C2semidirect
23. #23774650C2semidirect
24. #23774577C2semidirect
25. #23773682C2semidirect
26. #23773584C2semidirect
27. #23773452C2semidirect
28. #23773252C2semidirect
29. #23773198C2semidirect
30. #23772547C2semidirect
31. C79×#3081C2semidirect
35. #19099288C22semidirect
38. #19099279C22semidirect
40. #19099269C22semidirect
44. #19099257C22semidirect
46. #19099251C22semidirect
47. #19099248C22semidirect
56. #19099193C22semidirect
57. #19099187C22semidirect
60. #19099184C22semidirect
67. #19099118C22semidirect
68. #19099098C22semidirect
75. #19098973C22semidirect
76. #19098970C22semidirect
77. #19098964C22semidirect
78. #19098964C22semidirect
79. #19098964C22semidirect
80. #19098959C22semidirect
82. #19098925C22semidirect
83. #19098920C22semidirect
84. #19098916C22semidirect
85. #19098916C22semidirect
87. #19098906C22semidirect
88. #19098906C22semidirect
89. #19098904C22semidirect
90. #19098904C22semidirect
91. #19098900C22semidirect
92. #19098895C22semidirect
93. #19098893C22semidirect
94. #19098890C22semidirect
96. #19098887C22semidirect
99. #19098885C22semidirect
100. #19098883C22semidirect
101. #19098883C22semidirect
102. #19098883C22semidirect
104. #19098875C22semidirect
105. #19098873C22semidirect
106. #19098869C22semidirect
107. #19098869C22semidirect
108. #19098867C22semidirect
109. #19098866C22semidirect
110. #19098862C22semidirect
111. #19098862C22semidirect
112. #19098862C22semidirect
116. #19098860C22semidirect
117. #19098859C22semidirect
118. #19098859C22semidirect
119. #19098857C22semidirect
120. #19098853C22semidirect
121. #19098850C22semidirect
122. #19098845C22semidirect
123. #19098844C22semidirect
124. #19098844C22semidirect
127. #19098822C22semidirect
129. #19098815C22semidirect
130. #19098810C22semidirect
131. #19098810C22semidirect
133. #19098809C22semidirect
135. #19098804C22semidirect
136. #19098800C22semidirect
138. #19098791C22semidirect
139. #19098786C22semidirect
140. #19098786C22semidirect
141. #19098784C22semidirect
142. #19098779C22semidirect
143. #19098779C22semidirect
145. #19098778C22semidirect
146. #19098777C22semidirect
155. #19098692C22semidirect
156. #19098687C22semidirect
159. #19098669C22semidirect
160. #19098663C22semidirect
163. #19098650C22semidirect
164. #19098650C22semidirect
166. #19098645C22semidirect
167. C4×#11929609C22semidirect
169. #19098640C22semidirect
171. #19098639C22semidirect
173. #19098633C22semidirect
174. C8×C22⋊D79C22semidirect
175. #19098624C22semidirect
176. #19098623C22semidirect
177. #19098615C22semidirect
178. #19098602C22semidirect
179. #19098602C22semidirect
180. #19098602C22semidirect
181. #107×D79C22semidirect
182. #19098588C22semidirect
183. #19098585C22semidirect
188. #544×C79C22semidirect
192. #478×C79C22semidirect
193. #478×C79C22semidirect
195. #476×C79C22semidirect
197. #474×C79C22semidirect
198. #428×C79C22semidirect
199. #427×C79C22semidirect
200. #424×C79C22semidirect
862. #3081D79semidirect
865. C79#62175semidirect
891. #544C2×D79semidirect
955. #478C2×D79semidirect
956. #478C2×D79semidirect
963. #476C2×D79semidirect
970. #474C2×D79semidirect
1025. #428C2×D79semidirect
1026. #427C2×D79semidirect
1029. #424C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780332
#237773282
#237763572
#237762792
#237761752
#237760632
#237759922
#237759612
#237759562
#237759262
#237758472
#237758022
#237756272
#237756132
#237755972
#237755532
#237755372
#237752312
#237748612
#237748182
#237748002
#237746982
#237746502
#237745772
#237736822
#237735842
#237734522
#237732522
#237731982
#237725472
C79×#30812
#6217579