Finite Group Databasebeta

← #35160724

Subgroups — #35160724

Order 20224.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777127C211yesmaximal, characteristic
2#23776804C211yesmaximal, characteristic, complemented
3#23774700C211yesmaximal, characteristic, complemented
4#23774696C211yesmaximal, characteristic, complemented
5#23774683C211yesmaximal, characteristic, complemented
6#23774679C211yesmaximal, characteristic, complemented
7#23774657C211yesmaximal, characteristic, complemented
8#23774651C211yesmaximal, characteristic, complemented
9#23774647C211yesmaximal, characteristic, complemented
10#23774643C211yesmaximal, characteristic, complemented
11#23774639C211yesmaximal, characteristic, complemented
12#23774597C211yesmaximal, characteristic, complemented
13#23774593C211yesmaximal, characteristic, complemented
14#23774580C211yesmaximal, characteristic, complemented
15#23774578C211yesmaximal, characteristic, complemented
16#23774535C211yesmaximal, characteristic, complemented
17#23774533C211yesmaximal, characteristic, complemented
18#23773935C211yesmaximal, characteristic, complemented
19#23773929C211yesmaximal, characteristic, complemented
20#23773755C211yesmaximal, characteristic, complemented
21#23773749C211yesmaximal, characteristic, complemented
22#23773335C211yesmaximal, characteristic, complemented
23#23773328C211yesmaximal, characteristic, complemented
24#23773310C211yesmaximal, characteristic, complemented
25#482×D79C211yesmaximal, characteristic, complemented
26#23773263C211yesmaximal, characteristic, complemented
27#23773246C211yesmaximal, characteristic, complemented
28#23773230C211yesmaximal, characteristic, complemented
29#23773226C211yesmaximal, characteristic, complemented
30#23772056C211yesmaximal, characteristic, complemented
31C79×#3241C211yesmaximal, characteristic, complemented
32#19099277—21no—
33#19099258—21no—
34#19099256—21no—
35#19099241—21no—
36#19099236—21no—
37#19099211—21no—
38#19099210—21no—
39#19099202—21no—
40#19099194C2211yescharacteristic, complemented
41#19099193—21no—
42#19099193C2211yescharacteristic
43#19099193C2211yescharacteristic
44#19099193C2211yescharacteristic
45#19099191C2211yescharacteristic, complemented
46#19099191C2211yescharacteristic, complemented
47#19099190—21no—
48#19099190C2211yescharacteristic
49#19099190C2211yescharacteristic
50#19099188—21no—
51#19099188—21no—
52#19099184C2211yescharacteristic
53#19099180C2211yescharacteristic
54#19099166C2211yescharacteristic
55#19099126C2211yescharacteristic
56#19099119—21no—
57#19099119C2211yescharacteristic, complemented
58#19099119C2211yescharacteristic, complemented
59#19099118—21no—
60#19099118C2211yescharacteristic, complemented
61#19099118C2211yescharacteristic, complemented
62#19099115—21no—
63#19099115—21no—
64#19099111C2211yescharacteristic
65#19099110C2211yescharacteristic
66#19099098C2211yescharacteristic
67#19099095C2211yescharacteristic
68#19099073C2211yescharacteristic
69#121×D79C2211yescharacteristic
70#19099042C2211yescharacteristic
71#19099035C2211yescharacteristic
72C2×#14579119C2211yescharacteristic
73#117×D79C2211yescharacteristic
74#117×D79C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098973C2211yescharacteristic, complemented
77#19098972C2211yescharacteristic, complemented
78#19098971C2211yescharacteristic, complemented
79#19098971C2211yescharacteristic, complemented
80#19098971C2211yescharacteristic, complemented
81#19098970C2211yescharacteristic, complemented
82#19098967C2211yescharacteristic, complemented
83#19098966C2211yescharacteristic, complemented
84#19098963C2211yescharacteristic, complemented
85#19098963C2211yescharacteristic, complemented
86#19098962C2211yescharacteristic, complemented
87#19098961C2211yescharacteristic, complemented
88#19098960C2211yescharacteristic, complemented
89#19098927C2211yescharacteristic, complemented
90#19098926C2211yescharacteristic, complemented
91#19098926C2211yescharacteristic, complemented
92#19098925C2211yescharacteristic, complemented
93#19098923C2211yescharacteristic, complemented
94#19098921C2211yescharacteristic, complemented
95#19098921C2211yescharacteristic, complemented
96#19098920C2211yescharacteristic, complemented
97#19098918C2211yescharacteristic, complemented
98#19098916C2211yescharacteristic, complemented
99#19098916C2211yescharacteristic, complemented
100#19098909C2211yescharacteristic, complemented
101#19098908C2211yescharacteristic, complemented
102#19098908C2211yescharacteristic, complemented
103#19098907C2211yescharacteristic, complemented
104#19098907C2211yescharacteristic, complemented
105#19098907C2211yescharacteristic, complemented
106#19098906C2211yescharacteristic, complemented
107#19098905C2211yescharacteristic, complemented
108#19098904C2211yescharacteristic, complemented
109#19098898C2211yescharacteristic, complemented
110#19098894C2211yescharacteristic, complemented
111#19098890C2211yescharacteristic
112#19098890C2211yescharacteristic
113#19098890C2211yescharacteristic
114#19098889C2211yescharacteristic
115#19098888C2211yescharacteristic
116#19098887C2211yescharacteristic
117#19098886C2211yescharacteristic
118#19098886C2211yescharacteristic
119#19098886C2211yescharacteristic
120#19098886C2211yescharacteristic, complemented
121#19098886C2211yescharacteristic, complemented
122#19098886C2211yescharacteristic, complemented
123#19098885C2211yescharacteristic
124#19098885C2211yescharacteristic, complemented
125#19098884C2211yescharacteristic
126#19098884C2211yescharacteristic, complemented
127#19098882C2211yescharacteristic
128#19098879C2211yescharacteristic
129#19098876C2211yescharacteristic
130#19098874C2211yescharacteristic, complemented
131#19098871C2211yescharacteristic, complemented
132#19098869C2211yescharacteristic, complemented
133#19098869C2211yescharacteristic, complemented
134#19098867C2211yescharacteristic, complemented
135#19098865C2211yescharacteristic, complemented
136#19098865C2211yescharacteristic, complemented
137#19098865C2211yescharacteristic, complemented
138#19098865C2211yescharacteristic, complemented
139#19098864C2211yescharacteristic, complemented
140#19098863C2211yescharacteristic, complemented
141#19098863C2211yescharacteristic, complemented
142#19098862C2211yescharacteristic, complemented
143#19098862C2211yescharacteristic, complemented
144#19098860C2211yescharacteristic, complemented
145#19098857C2211yescharacteristic, complemented
146#19098855C2211yescharacteristic, complemented
147#19098854C2211yescharacteristic, complemented
148#19098853C2211yescharacteristic, complemented
149#19098852C2211yescharacteristic, complemented
150#19098851C2211yescharacteristic, complemented
151#19098851C2211yescharacteristic, complemented
152#19098849C2211yescharacteristic, complemented
153#19098847C2211yescharacteristic, complemented
154#19098843C2211yescharacteristic, complemented
155#19098842C2211yescharacteristic, complemented
156#19098841C2211yescharacteristic, complemented
157#19098841C2211yescharacteristic, complemented
158#19098840C2211yescharacteristic, complemented
159#19098624C2211yescharacteristic, complemented
160#19098621C2211yescharacteristic, complemented
161#19098621C2211yescharacteristic, complemented
162#19098619C2211yescharacteristic, complemented
163#19098618C2211yescharacteristic, complemented
164#19098615C2211yescharacteristic, complemented
165#19098614C2211yescharacteristic, complemented
166#19098604C2211yescharacteristic
167#19098604C2211yescharacteristic
168#19098604C2211yescharacteristic
169#19098602C2211yescharacteristic
170#19098598C2211yescharacteristic
171#19098598C2211yescharacteristic
172#107×D79C2211yescharacteristic
173#106×D79C2211yescharacteristic
174#19098588C2211yescharacteristic
175#19098588C2211yescharacteristic
176#19098566C2211yescharacteristic
177#19098566C2211yescharacteristic
178#19098561C2211yescharacteristic
179#19098561C2211yescharacteristic
180#19098556C2211yescharacteristic
181#19098556C2211yescharacteristic
182#102×D79C2211yescharacteristic
183#102×D79C2211yescharacteristic
184#19098525C2211yescharacteristic
185C22⋊C8×D79C2211yescharacteristic
186#19098520C2211yescharacteristic
187#19098517C2211yescharacteristic
188#544×C79C2211yescharacteristic, complemented
189#540×C79C2211yescharacteristic
190#501×C79C2211yescharacteristic, complemented
191#499×C79C2211yescharacteristic, complemented
192#490×C79C2211yescharacteristic, complemented
193#486×C79C2211yescharacteristic, complemented
194#482×C79C2211yescharacteristic
195#482×C79C2211yescharacteristic, complemented
196#481×C79C2211yescharacteristic, complemented
197#480×C79C2211yescharacteristic
198#478×C79C2211yescharacteristic, complemented
199#478×C79C2211yescharacteristic, complemented
200#476×C79C2211yescharacteristic, complemented
201#474×C79C2211yescharacteristic, complemented
202#433×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929623—21no—
205C2×#11929623C2311yescharacteristic
206C2×D4×D79—21no—
207C2×D4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C2×#11929607C2311yescharacteristic
210C2×#11929607C2311yescharacteristic
211C2×C8×D79C2311yescharacteristic
212C2×C8×D79C2311yescharacteristic
213#14579161—21no—
214#14579161C2311yescharacteristic
215#14579161C2311yescharacteristic
216#14579161C2311yescharacteristic
217#14579160—21no—
218#14579160—21no—
219#14579160—21no—
220#14579160—21no—
221#14579160—21no—
222#14579160C2311yescharacteristic
223#14579160C2311yescharacteristic
224#14579160C2311yescharacteristic
225#14579160C2311yescharacteristic
226#14579160C2311yescharacteristic
227#14579159—21no—
228#14579159—21no—
229#14579157C2311yescharacteristic
230#14579156—21no—
231#14579156—21no—
232#14579154—21no—
233#14579154—21no—
234#14579153—21no—
235#14579153C2311yescharacteristic
236#14579153C2311yescharacteristic
237#14579152—21no—
238#14579152—21no—
239#14579152C2311yescharacteristic
240#14579152C2311yescharacteristic
241#14579152C2311yescharacteristic
242#14579152C2311yescharacteristic
243#14579152C2311yescharacteristic
244#14579151—21no—
245#14579151—21no—
246#14579151—21no—
247#14579151—21no—
248#14579151—21no—
249#14579149C2311yescharacteristic
250#14579148—21no—
251#14579148—21no—
252#14579148C2311yescharacteristic
253#14579147—21no—
254#14579147—21no—
255#14579146—21no—
256#14579145—21no—
257#14579143—21no—
258#14579143—21no—
259#14579143—21no—
260#14579143—21no—
261#14579142—21no—
262#14579141—21no—
263#14579141—21no—
264#14579141—21no—
265#14579141—21no—
266#14579141—21no—
267#14579141C2311yescharacteristic
268#14579140—21no—
269#14579140—21no—
270#14579140C2311yescharacteristic
271#14579139—21no—
272#14579139—21no—
273#14579139—21no—
274#14579139—21no—
275#14579139—21no—
276#14579139—21no—
277#14579139—21no—
278#14579139—21no—
279#14579139—21no—
280#14579139—21no—
281#14579138—21no—
282#14579138—21no—
283#14579138—21no—
284#14579138—21no—
285#14579138—21no—
286#14579137—21no—
287#14579137—21no—
288#14579137—21no—
289#14579137—21no—
290#14579136C2311yescharacteristic
291#14579135C2311yescharacteristic
292#14579134—21no—
293#14579134—21no—
294#14579133—21no—
295#14579133—21no—
296#14579133—21no—
297#14579133—21no—
298#14579132—21no—
299#14579132—21no—
300#14579132C2311yescharacteristic
301#14579132C2311yescharacteristic
302#14579129—21no—
303#14579129—21no—
304#14579129—21no—
305Q8×Dic79—21no—
306Q8×Dic79—21no—
307C4×Dic158C2311yescharacteristic
308#14579126—21no—
309#14579126—21no—
310#14579126—21no—
311#14579126—21no—
312#14579126—21no—
313#14579126—21no—
314#14579126C2311yescharacteristic
315C4×D316C2311yescharacteristic
316D4×Dic79—21no—
317D4×Dic79—21no—
318D4×Dic79C2311yescharacteristic
319D4×Dic79C2311yescharacteristic
320#14579123—21no—
321#14579123C2311yescharacteristic
322C4×C22⋊D79—21no—
323C4×C22⋊D79—21no—
324C4×C22⋊D79—21no—
325C4×C22⋊D79—21no—
326(C22⋊D79)⋊C4—21no—
327(C22⋊D79)⋊C4—21no—
328(C22⋊D79)⋊C4—21no—
329#14579120—21no—
330#14579120C2311yescharacteristic
331#14579120C2311yescharacteristic
332#14579119—21no—
333#14579119—21no—
334#14579119—21no—
335#14579119D411yescharacteristic
336#14579119D411yescharacteristic
337#14579119C2311yescharacteristic
338#14579119C2311yescharacteristic
339#14579119C2311yescharacteristic
340#14579119C2311yescharacteristic
341#14579119C2311yescharacteristic
342#14579119C2311yescharacteristic
343#14579119C2311yescharacteristic
344#14579118—21no—
345#14579118C2311yescharacteristic
346#14579118C2311yescharacteristic
347#14579117—21no—
348#14579117—21no—
349#14579117D411yescharacteristic
350#14579117D411yescharacteristic
351C2×C4⋊Dic79C2311yescharacteristic
352C2×Dic79⋊C4—21no—
353C4⋊C4×D79D411yescharacteristic
354C4⋊C4×D79D411yescharacteristic
355C4⋊C4×D79C2311yescharacteristic
356C4⋊C4×D79C2311yescharacteristic
357C4⋊C4×D79C2311yescharacteristic
358C2×(C2×D79)⋊C4—21no—
359C2×(C2×D79)⋊C4—21no—
360C22⋊C4×D79—21no—
361C22⋊C4×D79—21no—
362C22⋊C4×D79—21no—
363C22⋊C4×D79D411yescharacteristic
364C22⋊C4×D79D411yescharacteristic
365C2×C4×Dic79—21no—
366C42×D79—21no—
367C42×D79C2311yescharacteristic
368C42×D79C2311yescharacteristic
369#14579095C2311yescharacteristic
370#14579095C2311yescharacteristic
371#14579094C2311yescharacteristic
372#14579094C2311yescharacteristic
373#14579094C2311yescharacteristic
374#14579094C2311yescharacteristic
375#14579094C2311yescharacteristic
376#14579094C2311yescharacteristic
377#14579094C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579093C2311yescharacteristic
382#14579093C2311yescharacteristic
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#14579086C2311yescharacteristic
400#14579086C2311yescharacteristic
401#14579086C2311yescharacteristic
402#14579086C2311yescharacteristic
403#14579084C2311yescharacteristic
404#14579084C2311yescharacteristic
405#14579084C2311yescharacteristic
406#14579084C2311yescharacteristic
407#14579083C2311yescharacteristic
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579082C2311yescharacteristic
412#14579082C2311yescharacteristic
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#14579072C2311yescharacteristic
430#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C4⋊Q8×C79—21no—
436C4⋊Q8×C79C2311yescharacteristic
437C4⋊Q8×C79C2311yescharacteristic
438#127×C79C2311yescharacteristic
439#125×C79—21no—
440#125×C79C2311yescharacteristic
441#125×C79C2311yescharacteristic
442#125×C79C2311yescharacteristic
443#123×C79—21no—
444#123×C79—21no—
445C22⋊Q8×C79—21no—
446C22⋊Q8×C79—21no—
447#121×C79—21no—
448#121×C79—21no—
449#121×C79C2311yescharacteristic
450#121×C79C2311yescharacteristic
451C4×D4×C79C2311yescharacteristic
452C4×D4×C79C2311yescharacteristic
453#117×C79C2311yescharacteristic
454#117×C79C2311yescharacteristic
455C2×C4⋊C4×C79C2311yescharacteristic
456#107×C79C2311yescharacteristic
457#107×C79C2311yescharacteristic
458#107×C79C2311yescharacteristic
459#107×C79C2311yescharacteristic
460#106×C79C2311yescharacteristic
461#106×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465C4⋊C8×C79C2311yescharacteristic
466#102×C79C2311yescharacteristic
467#102×C79C2311yescharacteristic
468#102×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476#97×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79—21no—
479C23×D79C2×D411yescharacteristic
480#11929624—82no—
481#11929623—22no—
482#11929623—22no—
483#11929623—82no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×Dic158—21no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158—21no—
492C2×Dic158C2411yescharacteristic
493C2×D316—21no—
494C2×D316C2411yescharacteristic
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—
502D4×D79—22no—
503D4×D79—22no—
504D4×D79—82no—
505C22×Dic79—21no—
506C22×Dic79—21no—
507C22×Dic79—21no—
508C22×Dic79—21no—
509C22×Dic79C2×D411yescharacteristic
510C2×C4×D79—22no—
511C2×C4×D79—22no—
512C2×C4×D79—21no—
513C2×C4×D79—21no—
514C2×C4×D79—21no—
515C2×C4×D79—21no—
516C2×C4×D79—21no—
517C2×C4×D79C2×D411yescharacteristic
518C2×C4×D79C2×D411yescharacteristic
519C2×C4×D79C2×D411yescharacteristic
520C2×C4×D79C2×D411yescharacteristic
521C2×C4×D79C2×D411yescharacteristic
522C2×C4×D79C2×D411yescharacteristic
523C2×C4×D79C2411yescharacteristic
524C2×C4×D79C2411yescharacteristic
525#11929607—22no—
526#11929607—22no—
527C2×C79⋊C8C2411yescharacteristic
528C2×C79⋊C8C2411yescharacteristic
529C2×C79⋊C8C2411yescharacteristic
530C2×C79⋊C8C2411yescharacteristic
531C8×D79—22no—
532C8×D79—22no—
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⋊Dic79C2×D411yescharacteristic
544C4⋊Dic79C2×D411yescharacteristic
545C4⋊Dic79C2411yescharacteristic
546C4⋊Dic79C2411yescharacteristic
547C4⋊Dic79C2411yescharacteristic
548C4⋊Dic79C2411yescharacteristic
549C4⋊Dic79C2411yescharacteristic
550C4⋊Dic79C2411yescharacteristic
551Dic79⋊C4—21no—
552Dic79⋊C4—21no—
553Dic79⋊C4—21no—
554Dic79⋊C4—21no—
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
575C22⋊Dic79—21no—
576C22⋊Dic79—21no—
577C22⋊Dic79—21no—
578C22⋊Dic79—21no—
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
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)⋊C4C2×D411yescharacteristic
600(C2×D79)⋊C4C2×D411yescharacteristic
601(C2×D79)⋊C4C2×D411yescharacteristic
602(C2×D79)⋊C4C2×D411yescharacteristic
603C4×Dic79—21no—
604C4×Dic79—21no—
605C4×Dic79—21no—
606C4×Dic79—21no—
607C4×Dic79—21no—
608C4×Dic79—21no—
609C4×Dic79—21no—
610C4×Dic79—21no—
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79C2×D411yescharacteristic
614C4×Dic79C2×D411yescharacteristic
615C4×Dic79C2×D411yescharacteristic
616C4×Dic79C2×D411yescharacteristic
617C4×Dic79C2411yescharacteristic
618C4×Dic79C2411yescharacteristic
619C2×Q8×C79—21no—
620C2×Q8×C79—21no—
621C2×D4×C79—21no—
622C2×D4×C79—21no—
623C2×D4×C79—21no—
624C2×D4×C79—21no—
625C2×D4×C79C2411yescharacteristic
626C2×D4×C79C2411yescharacteristic
627C22×C4×C79—21no—
628C22×C4×C79—21no—
629C22×C4×C79—21no—
630C22×C4×C79C2411yescharacteristic
631C2×C8×C79C2411yescharacteristic
632C2×C8×C79C2411yescharacteristic
633C2×C8×C79C2411yescharacteristic
634C2×C8×C79C2411yescharacteristic
635C4⋊C4×C79—21no—
636C4⋊C4×C79—21no—
637C4⋊C4×C79—21no—
638C4⋊C4×C79—21no—
639C4⋊C4×C79—21no—
640C4⋊C4×C79—21no—
641C4⋊C4×C79—21no—
642C4⋊C4×C79—21no—
643C4⋊C4×C79—21no—
644C4⋊C4×C79C2×D411yescharacteristic
645C4⋊C4×C79C2×D411yescharacteristic
646C4⋊C4×C79C2411yescharacteristic
647C4⋊C4×C79C2411yescharacteristic
648C4⋊C4×C79C2411yescharacteristic
649C4⋊C4×C79C2411yescharacteristic
650C4⋊C4×C79C2411yescharacteristic
651C4⋊C4×C79C2411yescharacteristic
652C22⋊C4×C79—21no—
653C22⋊C4×C79—21no—
654C22⋊C4×C79—21no—
655C22⋊C4×C79—21no—
656C22⋊C4×C79—21no—
657C22⋊C4×C79C2×D411yescharacteristic
658C22⋊C4×C79C2×D411yescharacteristic
659C42×C79—21no—
660C42×C79C2411yescharacteristic
661C42×C79C2411yescharacteristic
662C23×C79—21no—
663C23×C79—21no—
664C23×C79C22×D411yescharacteristic
665C22×D79—22no—
666C22×D79—21no—
667C22×D79—41no—
668C22×D79—41no—
669C22×D79—42no—
670C22×D79—81no—
671C22×D79—81no—
672C22×D79C22×D411yescharacteristic
673C22×D79C22×D411yescharacteristic
674Q8×C79—81no—
675Q8×C79—81no—
676D4×C79—21no—
677D4×C79—21no—
678D4×C79—21no—
679D4×C79—21no—
680D4×C79—81no—
681D4×C79—81no—
682D4×C79—81no—
683D4×C79—81no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
689C2×C4×C79—21no—
690C2×C4×C79—21no—
691C2×C4×C79—21no—
692C2×C4×C79—81no—
693C2×C4×C79—81no—
694C2×C4×C79—81no—
695C2×C4×C79C22×D411yescharacteristic
696C2×C4×C79C22×D411yescharacteristic
697C2×C4×C79C22×D411yescharacteristic
698C2×C4×C79C22×D411yescharacteristic
699C2×C4×C79C22×D411yescharacteristic
700C2×C4×C79C2511yescharacteristic
701C22⋊D79—42no—
702C22⋊D79—42no—
703C22⋊D79—42no—
704C22⋊D79—42no—
705C22⋊D79—81no—
706C22⋊D79—81no—
707C22⋊D79—81no—
708C2×Dic79—22no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—42no—
717C2×Dic79—81no—
718C2×Dic79—81no—
719C2×Dic79—81no—
720C2×Dic79C22×D411yescharacteristic
721C2×Dic79C22×D411yescharacteristic
722C2×Dic79C22×D411yescharacteristic
723C2×Dic79C22×D411yescharacteristic
724C2×Dic79C22×D411yescharacteristic
725C2×Dic79C22×D411yescharacteristic
726D316—21no—
727D316—21no—
728D316—42no—
729C4×D79—22no—
730C4×D79—21no—
731C4×D79—21no—
732C4×D79—22no—
733C4×D79—41no—
734C4×D79—41no—
735C4×D79—41no—
736C4×D79—41no—
737C4×D79—81no—
738C4×D79—81no—
739C4×D79—81no—
740C4×D79—81no—
741C4×D79—81no—
742C4×D792−1+412yes—
743C4×D792−1+412yes—
744Dic158—21no—
745Dic158—21no—
746Dic158—81no—
747Dic158—81no—
748Dic158—81no—
749Dic158—81no—
750Dic158—81no—
751Dic158—81no—
752Dic158—81no—
753Dic158—81no—
754C8×C79—21no—
755C8×C79—21no—
756C8×C79—21no—
757C8×C79—21no—
758C79⋊C8—21no—
759C79⋊C8—21no—
760C79⋊C8—21no—
761C79⋊C8—21no—
762C22×C79—21no—
763C22×C79—21no—
764C22×C79—21no—
765C22×C79—41no—
766C22×C79—41no—
767C22×C79—41no—
768C22×C79—41no—
769C22×C79—41no—
770C22×C79—41no—
771C22×C79C23×D411yescharacteristic
772C2×D79—21no—
773C2×D79—21no—
774C2×D79—21no—
775C2×D79—21no—
776C2×D79—21no—
777C2×D79—41no—
778C2×D79—41no—
779C2×D79—41no—
780C2×D79—82no—
781C2×D79—162no—
782C2×D79#53612yes—
783C4×C79—21no—
784C4×C79—21no—
785C4×C79—21no—
786C4×C79—21no—
787C4×C79—21no—
788C4×C79—41no—
789C4×C79—41no—
790C4×C79—41no—
791C4×C79—41no—
792C4×C79—41no—
793C4×C79—41no—
794C4×C79C2×2−1+411yescharacteristic
795C4×C79C2×2−1+411yescharacteristic
796Dic79—21no—
797Dic79—21no—
798Dic79—21no—
799Dic79—21no—
800Dic79—21no—
801Dic79—41no—
802Dic79—41no—
803Dic79—41no—
804Dic79—41no—
805Dic79—41no—
806Dic79—41no—
807Dic79—41no—
808Dic79#53612yes—
809#60875—791nomaximal, Sylow
810C2×C79—41no—
811C2×C79—81no—
812C2×C79—81no—
813C2×C79C2×#53611yescharacteristic
814C2×C79#358411yescharacteristic
815C2×C79#358511yescharacteristic
816D79—22no—
817D79—41no—
818D79—81no—
819#3494—791no—
820#3458—791no—
821#3244—791no—
822#3244—791no—
823#3243—791no—
824#3243—791no—
825#3241—791no—
826#3241—791no—
827#3241—791no—
828#3241D7911yescharacteristic, complemented
829#3240—791no—
830#3240—791no—
831#3235—791no—
832#3235—791no—
833#3233—791no—
834#3233—791no—
835#3228—791no—
836#3228—791no—
837#3164—791no—
838#3163—791no—
839#3136—791no—
840#3136—791no—
841#3094—791no—
842#3093—791no—
843#3091—791no—
844C2×#482—791no—
845#3084—791no—
846#3083—791no—
847#3081—791no—
848#3081—791no—
849#2924—791no—
850C79#6087511yescharacteristic, complemented, Sylow
851#555—1581no—
852#553—1581no—
853#553—1581no—
854#551—1581no—
855#551—1581no—
856#547—1581no—
857#546—1581no—
858#546—1581no—
859#544—791no—
860#544—791no—
861#544—791no—
862#544—791no—
863#544—791no—
864#544—791no—
865#544—791no—
866#544—791no—
867#544—1581no—
868#544—1581no—
869#544C2×D7911yescharacteristic, complemented
870#543—1581no—
871#543—1581no—
872#542—791no—
873#542—791no—
874#540—791no—
875#540C2×D7911yescharacteristic
876#535—791no—
877#533—791no—
878#533—791no—
879#533—791no—
880#533—791no—
881#533—1581no—
882#533—1581no—
883#533—1581no—
884#533—1581no—
885#532—791no—
886#532—791no—
887#529—791no—
888#529—791no—
889#525—791no—
890C2×#121—791no—
891#520—791no—
892#518—791no—
893C2×#117—791no—
894C2×#117—791no—
895C2×#117—791no—
896#501—791no—
897#501—791no—
898#501—791no—
899#501—791no—
900#501—791no—
901#501—791no—
902#501—791no—
903#501C2×D7911yescharacteristic, complemented
904#500—791no—
905#500—791no—
906#499—791no—
907#499—791no—
908#499—791no—
909#499C2×D7911yescharacteristic, complemented
910#498—791no—
911#498—791no—
912#490—791no—
913#490—791no—
914#490—791no—
915#490C2×D7911yescharacteristic, complemented
916#489—791no—
917#489—791no—
918#489—791no—
919#489—791no—
920#488—791no—
921#488—791no—
922#488—791no—
923#488—791no—
924#486—791no—
925#486—791no—
926#486—791no—
927#486C2×D7911yescharacteristic, complemented
928#485—791no—
929#485—791no—
930#485—791no—
931#485—791no—
932#485—791no—
933#485—791no—
934#484—791no—
935#483—791no—
936#482—791no—
937#482—791no—
938#482—791no—
939#482—791no—
940#482—791no—
941#482—791no—
942#482—791no—
943#482—791no—
944#482—791no—
945#482—791no—
946#482—791no—
947#482—791no—
948#482—791no—
949#482—791no—
950#482—791no—
951#482—791no—
952#482C2×D7911yescharacteristic
953#482C2×D7911yescharacteristic, complemented
954#481—791no—
955#481—791no—
956#481C2×D7911yescharacteristic, complemented
957#480—791no—
958#480—791no—
959#480C2×D7911yescharacteristic
960#479—791no—
961#479—791no—
962#479—791no—
963#479—791no—
964#478—791no—
965#478—791no—
966#478—791no—
967#478—791no—
968#478—791no—
969#478—791no—
970#478—791no—
971#478—791no—
972#478—791no—
973#478—791no—
974#478C2×D7911yescharacteristic, complemented
975#478C2×D7911yescharacteristic, complemented
976#477—791no—
977#477—791no—
978#476—791no—
979#476—791no—
980#476—791no—
981#476—791no—
982#476—791no—
983#476C2×D7911yescharacteristic, complemented
984#475—791no—
985#475—791no—
986#474—791no—
987#474—791no—
988#474—791no—
989#474—791no—
990#474—791no—
991#474C2×D7911yescharacteristic, complemented
992#433—791no—
993#433—791no—
994#433—791no—
995#433C2×D7911yescharacteristic, complemented
996#432—791no—
997#432—791no—
998#431—791no—
999#431—791no—
1000#428—791no—
1001#428—791no—
1002#428—791no—
1003#428—791no—
1004#427—791no—
1005#427—791no—
1006C2×#107—791no—
1007C2×#106—791no—
1008#424—791no—
1009#424—791no—
1010#418—791no—
1011#418—791no—
1012#417—791no—
1013#417—791no—
1014#416—791no—
1015#416—791no—
1016C2×#102—791no—
1017C2×#102—791no—
1018#407—791no—
1019C2×C22⋊C8—791no—
1020#405—791no—
1021#405—791no—
1022C2×#41—791no—
1023C2×#41—1581no—
1024C2×#41—1581no—
1025C22×D4—791no—
1026C22×D4—1581no—
1027C23×C4—791no—
1028C2×M16—791no—
1029C2×M16—791no—
1030C22×C8—791no—
1031C22×C8—791no—
1032C4⋊Q8—21no—
1033C4⋊Q8—791no—
1034C4⋊Q8—791no—
1035C4⋊Q8—791no—
1036C4⋊Q8—791no—
1037C4⋊Q8—791no—
1038C4⋊Q8—791no—
1039C4⋊Q8—791no—
1040C4⋊Q8—791no—
1041C4⋊Q8—1581no—
1042C4⋊Q8—1581no—
1043C4⋊Q8—1581no—
1044C4⋊Q8—1581no—
1045C4⋊Q8—1581no—
1046C4⋊Q8—1581no—
1047C4⋊Q8—1581no—
1048C4⋊Q8—1581no—
1049C4⋊Q8C22×D7911yescharacteristic
1050C4⋊Q8C22×D7911yescharacteristic
1051#127—791no—
1052#127C22×D7911yescharacteristic
1053#126—1581no—
1054#126—1581no—
1055#126—1581no—
1056#126—1581no—
1057#125—21no—
1058#125—791no—
1059#125—791no—
1060#125—791no—
1061#125—791no—
1062#125—791no—
1063#125—791no—
1064#125—791no—
1065#125—1581no—
1066#125—1581no—
1067#125—1581no—
1068#125—1581no—
1069#125—1581no—
1070#125—1581no—
1071#125—1581no—
1072#125—1581no—
1073#125C22×D7911yescharacteristic
1074#125C22×D7911yescharacteristic
1075#125C22×D7911yescharacteristic
1076#124—791no—
1077#124—791no—
1078#124—1581no—
1079#124—1581no—
1080#124—1581no—
1081#124—1581no—
1082#123—21no—
1083#123—21no—
1084#123—1581no—
1085#123—1581no—
1086#123—1581no—
1087#123—1581no—
1088#123—1581no—
1089#123—1581no—
1090#123—1581no—
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—791no—
1094C22⋊Q8—791no—
1095C22⋊Q8—1581no—
1096C22⋊Q8—1581no—
1097C22⋊Q8—1581no—
1098C22⋊Q8—1581no—
1099C22⋊Q8—1581no—
1100C22⋊Q8—1581no—
1101C22⋊Q8—1581no—
1102C22⋊Q8—1581no—
1103C22⋊Q8—1581no—
1104C22⋊Q8—1581no—
1105C22⋊Q8—1581no—
1106C22⋊Q8—1581no—
1107C22⋊Q8—1581no—
1108C22⋊Q8—1581no—
1109C22⋊Q8—1581no—
1110C22⋊Q8—1581no—
1111C22⋊Q8—1581no—
1112C22⋊Q8—1581no—
1113C22⋊Q8—1581no—
1114C22⋊Q8—1581no—
1115C22⋊Q8—1581no—
1116C22⋊Q8—1581no—
1117C22⋊Q8—1581no—
1118C22⋊Q8—1581no—
1119C22⋊Q8—1581no—
1120C22⋊Q8—1581no—
1121#121—21no—
1122#121—21no—
1123#121—791no—
1124#121—791no—
1125#121—791no—
1126#121—791no—
1127#121—1581no—
1128#121—1581no—
1129#121—1581no—
1130#121—1581no—
1131#121—1581no—
1132#121—1581no—
1133#121—1581no—
1134#121—1581no—
1135#121C22×D7911yescharacteristic
1136#121C22×D7911yescharacteristic
1137#120—1581no—
1138#120—1581no—
1139#120—1581no—
1140C4×Q8—791no—
1141C4×Q8—791no—
1142C4×Q8—1581no—
1143C4×Q8—1581no—
1144C4×Q8—1581no—
1145C4×Q8—1581no—
1146C4×Q8—1581no—
1147C4×Q8—1581no—
1148C4×Q8—1581no—
1149C4×Q8—1581no—
1150C4×D4—791no—
1151C4×D4—791no—
1152C4×D4—791no—
1153C4×D4—791no—
1154C4×D4—1581no—
1155C4×D4—1581no—
1156C4×D4—1581no—
1157C4×D4—1581no—
1158C4×D4—1581no—
1159C4×D4—1581no—
1160C4×D4—1581no—
1161C4×D4—1581no—
1162C4×D4—1581no—
1163C4×D4—1581no—
1164C4×D4C22×D7911yescharacteristic
1165C4×D4C22×D7911yescharacteristic
1166#117—791no—
1167#117—791no—
1168#117—791no—
1169#117—791no—
1170#117—791no—
1171#117—791no—
1172#117—791no—
1173#117—791no—
1174#117—791no—
1175#117—791no—
1176#117—791no—
1177#117—791no—
1178#117—791no—
1179#117—791no—
1180#117—791no—
1181#117—1581no—
1182#117—1581no—
1183#117—1581no—
1184#117—1581no—
1185#117—1581no—
1186#117—1581no—
1187#117—1581no—
1188#117C22×D7911yescharacteristic
1189#117C22×D7911yescharacteristic
1190C2×C4⋊C4—791no—
1191C2×C4⋊C4—791no—
1192C2×C4⋊C4—791no—
1193C2×C4⋊C4—791no—
1194C2×C4⋊C4—791no—
1195C2×C4⋊C4—791no—
1196C2×C4⋊C4—1581no—
1197C2×C4⋊C4C22×D7911yescharacteristic
1198C2×C22⋊C4—791no—
1199C2×C22⋊C4—791no—
1200C2×C22⋊C4—1581no—
1201C2×C22⋊C4—1581no—
1202C2×C22⋊C4—1581no—
1203C2×C22⋊C4—1581no—
1204C2×C22⋊C4—1581no—
1205C2×C42—791no—
1206C2×C42—791no—
1207C2×C42—1581no—
1208C2×C42—1581no—
1209#107—791no—
1210#107—791no—
1211#107—791no—
1212#107—791no—
1213#107—791no—
1214#107—791no—
1215#107—791no—
1216#107—791no—
1217#107—791no—
1218#107—791no—
1219#107—791no—
1220#107—791no—
1221#107C22×D7911yescharacteristic
1222#107C22×D7911yescharacteristic
1223#107C22×D7911yescharacteristic
1224#107C22×D7911yescharacteristic
1225#106—791no—
1226#106—791no—
1227#106—791no—
1228#106—791no—
1229#106—791no—
1230#106—791no—
1231#106—791no—
1232#106—791no—
1233#106—791no—
1234#106—791no—
1235#106—791no—
1236#106—791no—
1237#106C22×D7911yescharacteristic
1238#106C22×D7911yescharacteristic
1239#106C22×D7911yescharacteristic
1240#106C22×D7911yescharacteristic
1241C4⋊C8—791no—
1242C4⋊C8—791no—
1243C4⋊C8—791no—
1244C4⋊C8—791no—
1245C4⋊C8—791no—
1246C4⋊C8—791no—
1247C4⋊C8C22×D7911yescharacteristic
1248C4⋊C8C22×D7911yescharacteristic
1249#103—791no—
1250#103—791no—
1251#103—791no—
1252#103—791no—
1253#103—791no—
1254#103—791no—
1255#103—791no—
1256#103—791no—
1257#102—791no—
1258#102—791no—
1259#102—791no—
1260#102—791no—
1261#102—791no—
1262#102—791no—
1263#102—791no—
1264#102—791no—
1265#102—791no—
1266#102—791no—
1267#102—791no—
1268#102—791no—
1269#102—791no—
1270#102—791no—
1271#102—791no—
1272#102—791no—
1273#102C22×D7911yescharacteristic
1274#102C22×D7911yescharacteristic
1275#102C22×D7911yescharacteristic
1276#102C22×D7911yescharacteristic
1277#102C22×D7911yescharacteristic
1278#102C22×D7911yescharacteristic
1279#102C22×D7911yescharacteristic
1280#102C22×D7911yescharacteristic
1281C22⋊C8—791no—
1282C22⋊C8—791no—
1283C22⋊C8—791no—
1284C22⋊C8—791no—
1285C22⋊C8—791no—
1286C22⋊C8—791no—
1287C22⋊C8C22×D7911yescharacteristic
1288C22⋊C8C22×D7911yescharacteristic
1289#97—791no—
1290#97—791no—
1291#97—791no—
1292#97C22×D7911yescharacteristic
1293C4×C8—791no—
1294C4×C8—791no—
1295C4×C8—791no—
1296C4×C8C22×D7911yescharacteristic
1297C24—791no—
1298C24—1581no—
1299#41—6322no—
1300#41—6322no—
1301#41—1582no—
1302#41—1582no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—791no—
1306C2×Q8—1581no—
1307C2×Q8—1581no—
1308C2×Q8—1581no—
1309C2×Q8—1581no—
1310C2×Q8—1581no—
1311C2×Q8—1581no—
1312C2×Q8—1581no—
1313C2×Q8—1581no—
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—21no—
1317C2×D4—21no—
1318C2×D4—791no—
1319C2×D4—6322no—
1320C2×D4—1581no—
1321C2×D4—1582no—
1322C2×D4—1582no—
1323C2×D4—1581no—
1324C2×D4—1581no—
1325C2×D4—1581no—
1326C2×D4—1581no—
1327C2×D4—1581no—
1328C2×D4—1581no—
1329C2×D4—1581no—
1330C2×D4C23×D7911yescharacteristic
1331C2×D4C23×D7911yescharacteristic
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—791no—
1336C22×C4—791no—
1337C22×C4—791no—
1338C22×C4—791no—
1339C22×C4—791no—
1340C22×C4—791no—
1341C22×C4—791no—
1342C22×C4—791no—
1343C22×C4—791no—
1344C22×C4—1581no—
1345C22×C4—1582no—
1346C22×C4—1582no—
1347C22×C4—1581no—
1348C22×C4—1581no—
1349C22×C4—1581no—
1350C22×C4—1581no—
1351C22×C4—1581no—
1352C22×C4—1581no—
1353C22×C4—1581no—
1354C22×C4—1581no—
1355C22×C4C23×D7911yescharacteristic
1356M16—1582no—
1357M16—1582no—
1358C2×C8—791no—
1359C2×C8—791no—
1360C2×C8—791no—
1361C2×C8—791no—
1362C2×C8—1582no—
1363C2×C8—1582no—
1364C2×C8C23×D7911yescharacteristic
1365C2×C8C23×D7911yescharacteristic
1366C2×C8C23×D7911yescharacteristic
1367C2×C8C23×D7911yescharacteristic
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—791no—
1378C4⋊C4—791no—
1379C4⋊C4—791no—
1380C4⋊C4—791no—
1381C4⋊C4—791no—
1382C4⋊C4—791no—
1383C4⋊C4—791no—
1384C4⋊C4—791no—
1385C4⋊C4—791no—
1386C4⋊C4—791no—
1387C4⋊C4—791no—
1388C4⋊C4—791no—
1389C4⋊C4—1581no—
1390C4⋊C4—1581no—
1391C4⋊C4—1581no—
1392C4⋊C4—1581no—
1393C4⋊C4—1581no—
1394C4⋊C4—1581no—
1395C4⋊C4—1581no—
1396C4⋊C4—1581no—
1397C4⋊C4—1581no—
1398C4⋊C4—1581no—
1399C4⋊C4—1581no—
1400C4⋊C4—1581no—
1401C4⋊C4—1581no—
1402C4⋊C4—1581no—
1403C4⋊C4—1581no—
1404C4⋊C4—1581no—
1405C4⋊C4—1581no—
1406C4⋊C4—1581no—
1407C4⋊C4—1581no—
1408C4⋊C4—1581no—
1409C4⋊C4—1581no—
1410C4⋊C4—1581no—
1411C4⋊C4—1581no—
1412C4⋊C4—1581no—
1413C4⋊C4—1581no—
1414C4⋊C4—1581no—
1415C4⋊C4—1581no—
1416C4⋊C4—1581no—
1417C4⋊C4—1581no—
1418C4⋊C4—1581no—
1419C4⋊C4D4×D7911yescharacteristic
1420C4⋊C4D4×D7911yescharacteristic
1421C4⋊C4C23×D7911yescharacteristic
1422C4⋊C4C23×D7911yescharacteristic
1423C4⋊C4C23×D7911yescharacteristic
1424C4⋊C4C23×D7911yescharacteristic
1425C4⋊C4C23×D7911yescharacteristic
1426C4⋊C4C23×D7911yescharacteristic
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—791no—
1433C22⋊C4—791no—
1434C22⋊C4—791no—
1435C22⋊C4—791no—
1436C22⋊C4—791no—
1437C22⋊C4—791no—
1438C22⋊C4—1581no—
1439C22⋊C4—1581no—
1440C22⋊C4—1581no—
1441C22⋊C4—1581no—
1442C22⋊C4—1581no—
1443C22⋊C4—1581no—
1444C22⋊C4—1581no—
1445C22⋊C4—1581no—
1446C22⋊C4—1581no—
1447C22⋊C4—1581no—
1448C22⋊C4—1581no—
1449C22⋊C4—1581no—
1450C22⋊C4—1581no—
1451C22⋊C4—1581no—
1452C22⋊C4—1581no—
1453C22⋊C4—1581no—
1454C22⋊C4—1581no—
1455C22⋊C4—1581no—
1456C22⋊C4—1581no—
1457C22⋊C4—1581no—
1458C22⋊C4—1581no—
1459C22⋊C4—1581no—
1460C22⋊C4D4×D7911yescharacteristic
1461C22⋊C4D4×D7911yescharacteristic
1462C42—21no—
1463C42—791no—
1464C42—791no—
1465C42—791no—
1466C42—791no—
1467C42—791no—
1468C42—791no—
1469C42—1581no—
1470C42—1581no—
1471C42—1581no—
1472C42—1581no—
1473C42—1581no—
1474C42—1581no—
1475C42—1581no—
1476C42—1581no—
1477C42—1581no—
1478C42—1581no—
1479C42C23×D7911yescharacteristic
1480C42C23×D7911yescharacteristic
1481C23—21no—
1482C23—21no—
1483C23—3161no—
1484C23—3161no—
1485C23—3162no—
1486C23—791no—
1487C23—791no—
1488C23—6321no—
1489C23—6321no—
1490C23—1582no—
1491C23—1581no—
1492C23C2×D4×D7911yescharacteristic
1493Q8—81no—
1494Q8—81no—
1495Q8—6321no—
1496Q8—6321no—
1497Q8—6321no—
1498Q8—6321no—
1499Q8—6321no—
1500Q8—6321no—
1501Q8—6321no—
1502Q8—6321no—
1503Q8—1581no—
1504Q8—1581no—
1505D4—21no—
1506D4—21no—
1507D4—21no—
1508D4—21no—
1509D4—81no—
1510D4—81no—
1511D4—81no—
1512D4—81no—
1513D4—3162no—
1514D4—3162no—
1515D4—3162no—
1516D4—3162no—
1517D4—3162no—
1518D4—6321no—
1519D4—6321no—
1520D4—6321no—
1521D4—1581no—
1522D4—1581no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—81no—
1532C2×C4—81no—
1533C2×C4—81no—
1534C2×C4—3161no—
1535C2×C4—3161no—
1536C2×C4—3161no—
1537C2×C4—3161no—
1538C2×C4—3162no—
1539C2×C4—791no—
1540C2×C4—792no—
1541C2×C4—792no—
1542C2×C4—791no—
1543C2×C4—791no—
1544C2×C4—791no—
1545C2×C4—791no—
1546C2×C4—791no—
1547C2×C4—6321no—
1548C2×C4—6321no—
1549C2×C4—6321no—
1550C2×C4—6321no—
1551C2×C4—6321no—
1552C2×C4—6321no—
1553C2×C4—6321no—
1554C2×C4—6321no—
1555C2×C4—1582no—
1556C2×C4—1582no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1582no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4C2×D4×D7911yescharacteristic
1568C2×C4C2×D4×D7911yescharacteristic
1569C2×C4C2×D4×D7911yescharacteristic
1570C2×C4C2×D4×D7911yescharacteristic
1571C2×C4C2×D4×D7911yescharacteristic
1572C2×C4C24×D7911yescharacteristic
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—1581no—
1578C8—1581no—
1579C8—1581no—
1580C8—1581no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—3161no—
1591C22—3161no—
1592C22—3161no—
1593C22—792no—
1594C22—6322no—
1595C22—1581no—
1596C22—1581no—
1597C22—1581no—
1598C22—1581no—
1599C22—1581no—
1600C22—12642no—
1601C22C22×D4×D7911yescharacteristic
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—3161no—
1619C4—3161no—
1620C4—792no—
1621C4—1581no—
1622C4—1581no—
1623C4—1581no—
1624C4—1581no—
1625C4—1581no—
1626C42−1+4×D7911yescharacteristic
1627C42−1+4×D7911yescharacteristic
1628C2—41no—
1629C2—81no—
1630C2—81no—
1631C2—3161no—
1632C2—6321no—
1633C2—1582no—
1634C2#536×D7911yescharacteristic
1635C2#2377817211yescharacteristic
1636C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3241C2
socleC22×C79C23×D4
prime radical#23777127C2
hypercenter#3241D79
hypocenterC79#60875
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
2. #23776804C2semidirect
3. #23774700C2semidirect
4. #23774696C2semidirect
5. #23774683C2semidirect
6. #23774679C2semidirect
7. #23774657C2semidirect
8. #23774651C2semidirect
9. #23774647C2semidirect
10. #23774643C2semidirect
11. #23774639C2semidirect
12. #23774597C2semidirect
13. #23774593C2semidirect
14. #23774580C2semidirect
15. #23774578C2semidirect
16. #23774535C2semidirect
17. #23774533C2semidirect
18. #23773935C2semidirect
19. #23773929C2semidirect
20. #23773755C2semidirect
21. #23773749C2semidirect
22. #23773335C2semidirect
23. #23773328C2semidirect
24. #23773310C2semidirect
25. #482×D79C2semidirect
26. #23773263C2semidirect
27. #23773246C2semidirect
28. #23773230C2semidirect
29. #23773226C2semidirect
30. #23772056C2semidirect
31. C79×#3241C2semidirect
40. #19099194C22semidirect
45. #19099191C22semidirect
46. #19099191C22semidirect
57. #19099119C22semidirect
58. #19099119C22semidirect
60. #19099118C22semidirect
61. #19099118C22semidirect
75. #19098973C22semidirect
76. #19098973C22semidirect
77. #19098972C22semidirect
78. #19098971C22semidirect
79. #19098971C22semidirect
80. #19098971C22semidirect
81. #19098970C22semidirect
82. #19098967C22semidirect
83. #19098966C22semidirect
84. #19098963C22semidirect
85. #19098963C22semidirect
86. #19098962C22semidirect
87. #19098961C22semidirect
88. #19098960C22semidirect
89. #19098927C22semidirect
90. #19098926C22semidirect
91. #19098926C22semidirect
92. #19098925C22semidirect
93. #19098923C22semidirect
94. #19098921C22semidirect
95. #19098921C22semidirect
96. #19098920C22semidirect
97. #19098918C22semidirect
98. #19098916C22semidirect
99. #19098916C22semidirect
100. #19098909C22semidirect
101. #19098908C22semidirect
102. #19098908C22semidirect
103. #19098907C22semidirect
104. #19098907C22semidirect
105. #19098907C22semidirect
106. #19098906C22semidirect
107. #19098905C22semidirect
108. #19098904C22semidirect
109. #19098898C22semidirect
110. #19098894C22semidirect
120. #19098886C22semidirect
121. #19098886C22semidirect
122. #19098886C22semidirect
124. #19098885C22semidirect
126. #19098884C22semidirect
130. #19098874C22semidirect
131. #19098871C22semidirect
132. #19098869C22semidirect
133. #19098869C22semidirect
134. #19098867C22semidirect
135. #19098865C22semidirect
136. #19098865C22semidirect
137. #19098865C22semidirect
138. #19098865C22semidirect
139. #19098864C22semidirect
140. #19098863C22semidirect
141. #19098863C22semidirect
142. #19098862C22semidirect
143. #19098862C22semidirect
144. #19098860C22semidirect
145. #19098857C22semidirect
146. #19098855C22semidirect
147. #19098854C22semidirect
148. #19098853C22semidirect
149. #19098852C22semidirect
150. #19098851C22semidirect
151. #19098851C22semidirect
152. #19098849C22semidirect
153. #19098847C22semidirect
154. #19098843C22semidirect
155. #19098842C22semidirect
156. #19098841C22semidirect
157. #19098841C22semidirect
158. #19098840C22semidirect
159. #19098624C22semidirect
160. #19098621C22semidirect
161. #19098621C22semidirect
162. #19098619C22semidirect
163. #19098618C22semidirect
164. #19098615C22semidirect
165. #19098614C22semidirect
188. #544×C79C22semidirect
190. #501×C79C22semidirect
191. #499×C79C22semidirect
192. #490×C79C22semidirect
193. #486×C79C22semidirect
195. #482×C79C22semidirect
196. #481×C79C22semidirect
198. #478×C79C22semidirect
199. #478×C79C22semidirect
200. #476×C79C22semidirect
201. #474×C79C22semidirect
202. #433×C79C22semidirect
828. #3241D79semidirect
850. C79#60875semidirect
869. #544C2×D79semidirect
903. #501C2×D79semidirect
909. #499C2×D79semidirect
915. #490C2×D79semidirect
927. #486C2×D79semidirect
953. #482C2×D79semidirect
956. #481C2×D79semidirect
974. #478C2×D79semidirect
975. #478C2×D79semidirect
983. #476C2×D79semidirect
991. #474C2×D79semidirect
995. #433C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237771272
#237768042
#237747002
#237746962
#237746832
#237746792
#237746572
#237746512
#237746472
#237746432
#237746392
#237745972
#237745932
#237745802
#237745782
#237745352
#237745332
#237739352
#237739292
#237737552
#237737492
#237733352
#237733282
#237733102
#482×D792
#237732632
#237732462
#237732302
#237732262
#237720562
C79×#32412
#6087579