Finite Group Databasebeta

← #35160973

Subgroups — #35160973

Order 20224.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777224C211yesmaximal, characteristic, complemented
2#23776814C211yesmaximal, characteristic
3#23774699C211yesmaximal, characteristic, complemented
4#23774694C211yesmaximal, characteristic, complemented
5#23774684C211yesmaximal, characteristic, complemented
6#23774679C211yesmaximal, characteristic, complemented
7#23774657C211yesmaximal, characteristic, complemented
8#23774649C211yesmaximal, characteristic, complemented
9#23774648C211yesmaximal, characteristic, complemented
10#23774648C211yesmaximal, characteristic, complemented
11#23774642C211yesmaximal, characteristic, complemented
12#23774639C211yesmaximal, characteristic, complemented
13#23774588C211yesmaximal, characteristic, complemented
14#23774568C211yesmaximal, characteristic, complemented
15#23774566C211yesmaximal, characteristic, complemented
16#23774535C211yesmaximal, characteristic, complemented
17#23774532C211yesmaximal, characteristic, complemented
18#23773935C211yesmaximal, characteristic, complemented
19#23773927C211yesmaximal, characteristic, complemented
20#23773755C211yesmaximal, characteristic, complemented
21#23773755C211yesmaximal, characteristic, complemented
22#23773390C211yesmaximal, characteristic, complemented
23#23773373C211yesmaximal, characteristic, complemented
24#23773357C211yesmaximal, characteristic, complemented
25#23773351C211yesmaximal, characteristic, complemented
26#23773217C211yesmaximal, characteristic, complemented
27#23773195C211yesmaximal, characteristic, complemented
28#23773185C211yesmaximal, characteristic, complemented
29#478×D79C211yesmaximal, characteristic, complemented
30#23772067C211yesmaximal, characteristic, complemented
31C79×#3234C211yesmaximal, characteristic, complemented
32#19099290—21no—
33#19099290—21no—
34#19099269—21no—
35#19099269—21no—
36#19099268—21no—
37#19099268—21no—
38#19099268—21no—
39#19099268—21no—
40#19099194C2211yescharacteristic, complemented
41#19099194C2211yescharacteristic, complemented
42#19099193C2211yescharacteristic
43#19099193C2211yescharacteristic
44#19099193C2211yescharacteristic, complemented
45#19099193C2211yescharacteristic, complemented
46#19099190C2211yescharacteristic
47#19099187C2211yescharacteristic
48#19099180C2211yescharacteristic
49#19099177—21no—
50#19099167C2211yescharacteristic
51#19099166C2211yescharacteristic
52#19099163—21no—
53#19099147—21no—
54#19099145—21no—
55#19099142C2211yescharacteristic
56#19099129C2211yescharacteristic
57#19099126C2211yescharacteristic
58#19099120C2211yescharacteristic, complemented
59#19099119C2211yescharacteristic
60#19099119C2211yescharacteristic, complemented
61#19099110C2211yescharacteristic
62#19099109—21no—
63#19099097C2211yescharacteristic
64#19099095C2211yescharacteristic
65#19099093—21no—
66#125×D79C2211yescharacteristic
67#125×D79C2211yescharacteristic, complemented
68#19099072—21no—
69#19099070—21no—
70#19099044C2211yescharacteristic
71#19099044C2211yescharacteristic
72C4×#11929624C2211yescharacteristic
73C4×#11929623C2211yescharacteristic
74C4×D4×D79C2211yescharacteristic
75#19098972C2211yescharacteristic, complemented
76#19098972C2211yescharacteristic, complemented
77#19098971C2211yescharacteristic, complemented
78#19098971C2211yescharacteristic, complemented
79#19098970C2211yescharacteristic, complemented
80#19098970C2211yescharacteristic, complemented
81#19098967C2211yescharacteristic, complemented
82#19098966C2211yescharacteristic, complemented
83#19098964C2211yescharacteristic, complemented
84#19098963C2211yescharacteristic, complemented
85#19098962C2211yescharacteristic, complemented
86#19098962C2211yescharacteristic, complemented
87#19098960C2211yescharacteristic, complemented
88#19098959C2211yescharacteristic, complemented
89#19098926C2211yescharacteristic
90#19098926C2211yescharacteristic
91#19098923C2211yescharacteristic
92#19098923C2211yescharacteristic
93#19098921C2211yescharacteristic
94#19098921C2211yescharacteristic
95#19098920C2211yescharacteristic
96#19098920C2211yescharacteristic
97#19098916C2211yescharacteristic
98#19098916C2211yescharacteristic
99#19098909C2211yescharacteristic
100#19098909C2211yescharacteristic
101#19098908C2211yescharacteristic
102#19098908C2211yescharacteristic
103#19098907C2211yescharacteristic, complemented
104#19098906C2211yescharacteristic, complemented
105#19098905C2211yescharacteristic, complemented
106#19098905C2211yescharacteristic, complemented
107#19098900C2211yescharacteristic, complemented
108#19098898C2211yescharacteristic, complemented
109#19098895C2211yescharacteristic, complemented
110#19098893C2211yescharacteristic, complemented
111#19098890C2211yescharacteristic
112#19098889C2211yescharacteristic
113#19098888C2211yescharacteristic
114#19098888C2211yescharacteristic
115#19098886C2211yescharacteristic
116#19098886C2211yescharacteristic, complemented
117#19098885C2211yescharacteristic
118#19098885C2211yescharacteristic, complemented
119#19098884C2211yescharacteristic
120#19098884C2211yescharacteristic
121#19098884C2211yescharacteristic, complemented
122#19098884C2211yescharacteristic, complemented
123#19098883C2211yescharacteristic
124#19098881C2211yescharacteristic
125#19098880C2211yescharacteristic
126#19098880C2211yescharacteristic, complemented
127#19098878C2211yescharacteristic
128#19098876C2211yescharacteristic
129#19098875C2211yescharacteristic
130#19098875C2211yescharacteristic, complemented
131#19098873C2211yescharacteristic, complemented
132#19098871C2211yescharacteristic, complemented
133#19098871C2211yescharacteristic, complemented
134#19098869C2211yescharacteristic, complemented
135#19098867C2211yescharacteristic, complemented
136#19098867C2211yescharacteristic, complemented
137#19098866C2211yescharacteristic
138#19098865C2211yescharacteristic
139#19098865C2211yescharacteristic, complemented
140#19098864C2211yescharacteristic
141#19098864C2211yescharacteristic
142#19098863C2211yescharacteristic
143#19098863C2211yescharacteristic
144#19098863C2211yescharacteristic, complemented
145#19098863C2211yescharacteristic, complemented
146#19098862C2211yescharacteristic
147#19098861C2211yescharacteristic
148#19098861C2211yescharacteristic, complemented
149#19098860C2211yescharacteristic
150#19098860C2211yescharacteristic
151#19098857C2211yescharacteristic, complemented
152#19098852C2211yescharacteristic
153#19098851C2211yescharacteristic
154#19098851C2211yescharacteristic, complemented
155#19098847C2211yescharacteristic, complemented
156#19098842C2211yescharacteristic
157#19098841C2211yescharacteristic
158#19098841C2211yescharacteristic, complemented
159#19098625C2211yescharacteristic, complemented
160#19098625C2211yescharacteristic, complemented
161#19098621C2211yescharacteristic, complemented
162#19098621C2211yescharacteristic, complemented
163#19098619C2211yescharacteristic, complemented
164#19098616C2211yescharacteristic, complemented
165#19098615C2211yescharacteristic, complemented
166#19098604C2211yescharacteristic
167#19098604C2211yescharacteristic
168#19098602C2211yescharacteristic
169#19098602C2211yescharacteristic
170#19098600C2211yescharacteristic
171#19098598C2211yescharacteristic
172#107×D79C2211yescharacteristic
173#106×D79C2211yescharacteristic
174#19098585C2211yescharacteristic
175C4⋊C8×D79C2211yescharacteristic
176#19098566C2211yescharacteristic
177#19098566C2211yescharacteristic
178#19098561C2211yescharacteristic
179#19098561C2211yescharacteristic
180#19098556C2211yescharacteristic
181#19098556C2211yescharacteristic
182#102×D79C2211yescharacteristic
183#102×D79C2211yescharacteristic
184#19098528C2211yescharacteristic
185#19098528C2211yescharacteristic
186#19098520C2211yescharacteristic
187#19098520C2211yescharacteristic
188#532×C79C2211yescharacteristic
189C2×#125×C79C2211yescharacteristic, complemented
190#501×C79C2211yescharacteristic, complemented
191#501×C79C2211yescharacteristic, complemented
192#490×C79C2211yescharacteristic
193#490×C79C2211yescharacteristic
194#481×C79C2211yescharacteristic
195#481×C79C2211yescharacteristic, complemented
196#480×C79C2211yescharacteristic
197#480×C79C2211yescharacteristic, complemented
198#478×C79C2211yescharacteristic
199#478×C79C2211yescharacteristic
200#478×C79C2211yescharacteristic, complemented
201#478×C79C2211yescharacteristic, complemented
202#432×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929624C2311yescharacteristic
205C2×#11929623C2311yescharacteristic
206C2×D4×D79C2311yescharacteristic
207C22×C4×D79—21no—
208C2×#11929607C2311yescharacteristic
209C2×#11929607C2311yescharacteristic
210C2×C8×D79C2311yescharacteristic
211C2×C8×D79C2311yescharacteristic
212#14579161C2311yescharacteristic
213#14579161C2311yescharacteristic
214#14579160—21no—
215#14579160—21no—
216#14579160—21no—
217#14579160—21no—
218#14579160—21no—
219#14579160—21no—
220#14579160C2311yescharacteristic
221#14579160C2311yescharacteristic
222#14579160C2311yescharacteristic
223#14579160C2311yescharacteristic
224#14579160C2311yescharacteristic
225#14579159—21no—
226#14579157—21no—
227#14579157C2311yescharacteristic
228#14579156—21no—
229#14579155—21no—
230#14579154—21no—
231#14579154—21no—
232#14579153C2311yescharacteristic
233#14579153C2311yescharacteristic
234#14579153C2311yescharacteristic
235#14579152—21no—
236#14579152—21no—
237#14579152C2311yescharacteristic
238#14579152C2311yescharacteristic
239#14579152C2311yescharacteristic
240#14579152C2311yescharacteristic
241#14579152C2311yescharacteristic
242#14579151—21no—
243#14579151—21no—
244#14579151—21no—
245#14579151—21no—
246#14579151—21no—
247#14579151—21no—
248#14579151—21no—
249#14579151—21no—
250#14579151—21no—
251#14579150—21no—
252#14579149C2311yescharacteristic
253#14579148—21no—
254#14579148C2311yescharacteristic
255#14579147—21no—
256#14579147—21no—
257#14579146—21no—
258#14579145—21no—
259#14579144—21no—
260#14579143—21no—
261#14579143—21no—
262#14579142—21no—
263#14579142—21no—
264#14579142—21no—
265#14579141—21no—
266#14579141—21no—
267#14579141—21no—
268#14579141—21no—
269#14579141C2311yescharacteristic
270#14579140—21no—
271#14579140—21no—
272#14579140—21no—
273#14579140—21no—
274#14579140—21no—
275#14579140—21no—
276#14579140C2311yescharacteristic
277#14579139—21no—
278#14579139—21no—
279#14579139—21no—
280#14579139—21no—
281#14579139—21no—
282#14579139—21no—
283#14579139—21no—
284#14579139—21no—
285#14579139—21no—
286#14579138—21no—
287#14579138—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#14579133—21no—
299#14579133—21no—
300#14579132—21no—
301#14579132—21no—
302#14579132C2311yescharacteristic
303#14579132C2311yescharacteristic
304#14579131—21no—
305#14579129—21no—
306#14579129—21no—
307#14579129—21no—
308C4×Dic158—21no—
309C4×Dic158—21no—
310C4×Dic158D411yescharacteristic
311C4×Dic158D411yescharacteristic
312C4×Dic158C2311yescharacteristic
313#14579126—21no—
314#14579126—21no—
315#14579126—21no—
316#14579126—21no—
317#14579126—21no—
318#14579126—21no—
319#14579126C2311yescharacteristic
320C4×D316D411yescharacteristic
321C4×D316D411yescharacteristic
322C4×D316C2311yescharacteristic
323D4×Dic79C2311yescharacteristic
324D4×Dic79C2311yescharacteristic
325#14579123—21no—
326#14579123—21no—
327#14579123C2311yescharacteristic
328C4×C22⋊D79—21no—
329C4×C22⋊D79—21no—
330C4×C22⋊D79—21no—
331C4×C22⋊D79—21no—
332C4×C22⋊D79—21no—
333C4×C22⋊D79—21no—
334C4×C22⋊D79—21no—
335C4×C22⋊D79—21no—
336C4×C22⋊D79—21no—
337C4×C22⋊D79D411yescharacteristic
338C4×C22⋊D79D411yescharacteristic
339C4×C22⋊D79D411yescharacteristic
340C4×C22⋊D79D411yescharacteristic
341(C22⋊D79)⋊C4—21no—
342(C22⋊D79)⋊C4—21no—
343#14579120—21no—
344#14579120C2311yescharacteristic
345#14579120C2311yescharacteristic
346#14579120C2311yescharacteristic
347#14579119C2311yescharacteristic
348#14579119C2311yescharacteristic
349#14579119C2311yescharacteristic
350#14579119C2311yescharacteristic
351#14579119C2311yescharacteristic
352#14579118—21no—
353#14579118C2311yescharacteristic
354#14579118C2311yescharacteristic
355#14579117—21no—
356C4⋊C4×D79—21no—
357C4⋊C4×D79—21no—
358C4⋊C4×D79—21no—
359C4⋊C4×D79—21no—
360C4⋊C4×D79C2311yescharacteristic
361C4⋊C4×D79C2311yescharacteristic
362C4⋊C4×D79C2311yescharacteristic
363C4⋊C4×D79C2311yescharacteristic
364C4⋊C4×D79C2311yescharacteristic
365C22⋊C4×D79—21no—
366C2×C4×Dic79—21no—
367C42×D79C2311yescharacteristic
368C42×D79C2311yescharacteristic
369#14579095C2311yescharacteristic
370#14579095C2311yescharacteristic
371#14579095C2311yescharacteristic
372#14579095C2311yescharacteristic
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#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#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#14579071C2311yescharacteristic
430#14579071C2311yescharacteristic
431C4×C79⋊C8C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C2×#41×C79—21no—
436C4⋊Q8×C79C2311yescharacteristic
437#127×C79C2311yescharacteristic
438#125×C79—21no—
439#125×C79—21no—
440#125×C79C2311yescharacteristic
441#125×C79C2311yescharacteristic
442#125×C79C2311yescharacteristic
443#125×C79C2311yescharacteristic
444#124×C79—21no—
445#121×C79—21no—
446#121×C79C2311yescharacteristic
447#121×C79C2311yescharacteristic
448C4×D4×C79—21no—
449C4×D4×C79C2311yescharacteristic
450C4×D4×C79C2311yescharacteristic
451C2×C4⋊C4×C79—21no—
452C2×C4⋊C4×C79—21no—
453C2×C4⋊C4×C79C2311yescharacteristic
454C2×C4⋊C4×C79C2311yescharacteristic
455C2×C42×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
477#97×C79C2311yescharacteristic
478C23×D79—21no—
479#11929624—22no—
480#11929624—22no—
481#11929624—82no—
482#11929623—22no—
483#11929623—22no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×Dic158—21no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158C2×D411yescharacteristic
492C2×Dic158C2411yescharacteristic
493C2×D316—21no—
494C2×D316C2×D411yescharacteristic
495C2×D316C2411yescharacteristic
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—21no—
503C2×C22⋊D79C2×D411yescharacteristic
504C2×C22⋊D79C2×D411yescharacteristic
505D4×D79—22no—
506D4×D79—22no—
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—82no—
518C2×C4×D79C2×D411yescharacteristic
519C2×C4×D79C2×D411yescharacteristic
520C2×C4×D79C2×D411yescharacteristic
521C2×C4×D79C2×D411yescharacteristic
522C2×C4×D79C2411yescharacteristic
523C2×C4×D79C2411yescharacteristic
524#11929607—22no—
525#11929607—22no—
526C2×C79⋊C8C2411yescharacteristic
527C2×C79⋊C8C2411yescharacteristic
528C2×C79⋊C8C2411yescharacteristic
529C2×C79⋊C8C2411yescharacteristic
530C8×D79—22no—
531C8×D79—22no—
532C4⋊Dic79—21no—
533C4⋊Dic79—21no—
534C4⋊Dic79—21no—
535C4⋊Dic79—21no—
536C4⋊Dic79—21no—
537C4⋊Dic79—21no—
538C4⋊Dic79—21no—
539C4⋊Dic79—21no—
540C4⋊Dic79C2×D411yescharacteristic
541C4⋊Dic79C2×D411yescharacteristic
542C4⋊Dic79C2411yescharacteristic
543C4⋊Dic79C2411yescharacteristic
544C4⋊Dic79C2411yescharacteristic
545C4⋊Dic79C2411yescharacteristic
546C4⋊Dic79C2411yescharacteristic
547C4⋊Dic79C2411yescharacteristic
548Dic79⋊C4—21no—
549Dic79⋊C4—21no—
550Dic79⋊C4—21no—
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⋊C4—21no—
572Dic79⋊C4C2×D411yescharacteristic
573Dic79⋊C4C2×D411yescharacteristic
574Dic79⋊C4C2×D411yescharacteristic
575Dic79⋊C4C2×D411yescharacteristic
576C22⋊Dic79—21no—
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)⋊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×Dic79C2×D411yescharacteristic
613C4×Dic79C2×D411yescharacteristic
614C4×Dic79C2×D411yescharacteristic
615C4×Dic79C2×D411yescharacteristic
616C4×Dic79C2411yescharacteristic
617C4×Dic79C2411yescharacteristic
618#41×C79—82no—
619C2×Q8×C79—21no—
620C2×D4×C79—21no—
621C2×D4×C79—21no—
622C2×D4×C79—21no—
623C2×D4×C79—21no—
624C2×D4×C79C2411yescharacteristic
625C2×D4×C79C2411yescharacteristic
626C22×C4×C79—21no—
627C22×C4×C79—21no—
628C22×C4×C79—21no—
629C22×C4×C79—21no—
630C22×C4×C79C2×D411yescharacteristic
631C22×C4×C79C2×D411yescharacteristic
632C22×C4×C79C2411yescharacteristic
633C2×C8×C79C2411yescharacteristic
634C2×C8×C79C2411yescharacteristic
635C2×C8×C79C2411yescharacteristic
636C2×C8×C79C2411yescharacteristic
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×C79—21no—
645C4⋊C4×C79—21no—
646C4⋊C4×C79—21no—
647C4⋊C4×C79—21no—
648C4⋊C4×C79C2411yescharacteristic
649C4⋊C4×C79C2411yescharacteristic
650C4⋊C4×C79C2411yescharacteristic
651C4⋊C4×C79C2411yescharacteristic
652C4⋊C4×C79C2411yescharacteristic
653C4⋊C4×C79C2411yescharacteristic
654C22⋊C4×C79—21no—
655C22⋊C4×C79—21no—
656C22⋊C4×C79—21no—
657C22⋊C4×C79—21no—
658C42×C79C2×D411yescharacteristic
659C42×C79C2×D411yescharacteristic
660C42×C79C2411yescharacteristic
661C42×C79C2411yescharacteristic
662C23×C79—21no—
663C23×C79—21no—
664C23×C79C22×D411yescharacteristic
665C22×D79—21no—
666C22×D79—42no—
667C22×D79—81no—
668C22×D79—81no—
669C22×D79C22×D411yescharacteristic
670C22×D79C22×D411yescharacteristic
671Q8×C79—81no—
672D4×C79—21no—
673D4×C79—21no—
674D4×C79—21no—
675D4×C79—21no—
676D4×C79—81no—
677D4×C79—81no—
678D4×C79—81no—
679D4×C79—81no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—41no—
689C2×C4×C79—41no—
690C2×C4×C79—42no—
691C2×C4×C79—42no—
692C2×C4×C79—81no—
693C2×C4×C79—81no—
694C2×C4×C79C22×D411yescharacteristic
695C2×C4×C79C22×D411yescharacteristic
696C2×C4×C79C22×D411yescharacteristic
697C2×C4×C79C22×D411yescharacteristic
698C2×C4×C79C22×D411yescharacteristic
699C2×C4×C79C2511yescharacteristic
700C22⋊D79—22no—
701C22⋊D79—22no—
702C22⋊D79—42no—
703C22⋊D79—42no—
704C22⋊D79—81no—
705C22⋊D79—81no—
706C22⋊D79—81no—
707C22⋊D79—81no—
708C22⋊D79—81no—
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×Dic79C22×D411yescharacteristic
720C2×Dic79C22×D411yescharacteristic
721C2×Dic79C22×D411yescharacteristic
722C2×Dic79C22×D411yescharacteristic
723C2×Dic79C22×D411yescharacteristic
724C2×Dic79C22×D411yescharacteristic
725D316—22no—
726D316—21no—
727D316—21no—
728D316—81no—
729C4×D79—21no—
730C4×D79—21no—
731C4×D79—41no—
732C4×D79—41no—
733C4×D79—41no—
734C4×D79—41no—
735C4×D79—42no—
736C4×D79—81no—
737C4×D79—81no—
738C4×D79—81no—
739C4×D79—81no—
740C4×D79—81no—
741C4×D79—81no—
742C4×D792−1+412yes—
743C4×D792−1+412yes—
744Dic158—22no—
745Dic158—21no—
746Dic158—21no—
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—84no—
781C2×D79#53612yes—
782C4×C79—21no—
783C4×C79—21no—
784C4×C79—21no—
785C4×C79—21no—
786C4×C79—21no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790C4×C79—41no—
791C4×C79—41no—
792C4×C79—41no—
793C4×C79C2×2−1+411yescharacteristic
794C4×C79C2×2−1+411yescharacteristic
795Dic79—21no—
796Dic79—21no—
797Dic79—21no—
798Dic79—21no—
799Dic79—21no—
800Dic79—41no—
801Dic79—41no—
802Dic79—41no—
803Dic79—41no—
804Dic79—41no—
805Dic79—41no—
806Dic79—41no—
807Dic79#53612yes—
808#60890—791nomaximal, Sylow
809C2×C79—41no—
810C2×C79—81no—
811C2×C79—81no—
812C2×C79C2×#53611yescharacteristic
813C2×C79#358411yescharacteristic
814C2×C79#358511yescharacteristic
815D79—22no—
816D79—41no—
817D79—81no—
818#3504—791no—
819#3460—791no—
820#3244—791no—
821#3244—791no—
822#3243—791no—
823#3243—791no—
824#3241—791no—
825#3241—791no—
826#3241—791no—
827#3241—791no—
828#3240—791no—
829#3240—791no—
830#3234—791no—
831#3234D7911yescharacteristic, complemented
832#3232—791no—
833#3232—791no—
834#3228—791no—
835#3228—791no—
836#3164—791no—
837#3163—791no—
838#3136—791no—
839#3136—791no—
840#3099—791no—
841#3098—791no—
842#3096—791no—
843#3096—791no—
844#3080—791no—
845#3077—791no—
846#3076—791no—
847C2×#478—791no—
848#2925—791no—
849C79#6089011yescharacteristic, complemented, Sylow
850#557—1581no—
851#557—1581no—
852#554—1581no—
853#554—1581no—
854#554—1581no—
855#554—1581no—
856#554—1581no—
857#554—1581no—
858#544—791no—
859#544—791no—
860#544—791no—
861#544—791no—
862#544—791no—
863#544—791no—
864#544—791no—
865#542—791no—
866#542—791no—
867#542—1581no—
868#540—791no—
869#540—791no—
870#540—1581no—
871#538—1581no—
872#538—1581no—
873#537—791no—
874#535—791no—
875#535—791no—
876#533—791no—
877#533—791no—
878#533—791no—
879#532—791no—
880#532—1581no—
881#532C2×D7911yescharacteristic
882#529—791no—
883#529—791no—
884#529—1581no—
885C2×#125—791no—
886C2×#125—791no—
887C2×#125C2×D7911yescharacteristic, complemented
888#525—1581no—
889#525—1581no—
890#520—791no—
891#520—791no—
892C4×#41—791no—
893C4×#41—791no—
894C2×C4×D4—791no—
895#501—791no—
896#501—791no—
897#501—791no—
898#501—791no—
899#501—791no—
900#501—791no—
901#501C2×D7911yescharacteristic, complemented
902#501C2×D7911yescharacteristic, complemented
903#500—791no—
904#500—791no—
905#499—791no—
906#499—791no—
907#499—791no—
908#499—791no—
909#498—791no—
910#498—791no—
911#490—791no—
912#490—791no—
913#490C2×D7911yescharacteristic
914#490C2×D7911yescharacteristic
915#489—791no—
916#489—791no—
917#489—791no—
918#489—791no—
919#488—791no—
920#488—791no—
921#488—791no—
922#488—791no—
923#486—791no—
924#486—791no—
925#486—791no—
926#486—791no—
927#485—791no—
928#485—791no—
929#485—791no—
930#485—791no—
931#484—791no—
932#484—791no—
933#483—791no—
934#483—791no—
935#482—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#481—791no—
948#481—791no—
949#481—791no—
950#481—791no—
951#481C2×D7911yescharacteristic
952#481C2×D7911yescharacteristic, complemented
953#480—791no—
954#480—791no—
955#480—791no—
956#480—791no—
957#480C2×D7911yescharacteristic
958#480C2×D7911yescharacteristic, complemented
959#479—791no—
960#479—791no—
961#479—791no—
962#479—791no—
963#479—791no—
964#479—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#478—791no—
975#478—791no—
976#478—791no—
977#478—791no—
978#478—791no—
979#478C2×D7911yescharacteristic
980#478C2×D7911yescharacteristic
981#478C2×D7911yescharacteristic, complemented
982#478C2×D7911yescharacteristic, complemented
983#477—791no—
984#476—791no—
985#476—791no—
986#476—791no—
987#475—791no—
988#474—791no—
989#474—791no—
990#474—791no—
991#433—791no—
992#433—791no—
993#433—791no—
994#433—791no—
995#432—791no—
996#432C2×D7911yescharacteristic, complemented
997#431—791no—
998#431—791no—
999#428—791no—
1000#428—791no—
1001#428—791no—
1002#428—791no—
1003#427—791no—
1004#427—791no—
1005C2×#107—791no—
1006C2×#106—791no—
1007#423—791no—
1008C2×C4⋊C8—791no—
1009#418—791no—
1010#418—791no—
1011#417—791no—
1012#417—791no—
1013#416—791no—
1014#416—791no—
1015C2×#102—791no—
1016C2×#102—791no—
1017#408—791no—
1018#408—791no—
1019#405—791no—
1020#405—791no—
1021C2×#41—21no—
1022C2×#41—791no—
1023C2×#41—791no—
1024C2×#41—1581no—
1025C22×D4—791no—
1026C23×C4—1581no—
1027C2×M16—791no—
1028C2×M16—791no—
1029C22×C8—791no—
1030C22×C8—791no—
1031C4⋊Q8—791no—
1032C4⋊Q8—791no—
1033C4⋊Q8—791no—
1034C4⋊Q8—791no—
1035C4⋊Q8—791no—
1036C4⋊Q8—791no—
1037C4⋊Q8—791no—
1038C4⋊Q8—1581no—
1039C4⋊Q8—1581no—
1040C4⋊Q8—1581no—
1041C4⋊Q8—1581no—
1042C4⋊Q8—1581no—
1043C4⋊Q8—1581no—
1044C4⋊Q8—1581no—
1045C4⋊Q8C22×D7911yescharacteristic
1046#127—791no—
1047#127—1581no—
1048#127C22×D7911yescharacteristic
1049#126—1581no—
1050#126—1581no—
1051#126—1581no—
1052#126—1581no—
1053#125—21no—
1054#125—21no—
1055#125—791no—
1056#125—791no—
1057#125—791no—
1058#125—791no—
1059#125—791no—
1060#125—791no—
1061#125—791no—
1062#125—791no—
1063#125—1581no—
1064#125—1581no—
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#125—1581no—
1074#125C22×D7911yescharacteristic
1075#125C22×D7911yescharacteristic
1076#125C22×D7911yescharacteristic
1077#125C22×D7911yescharacteristic
1078#124—21no—
1079#124—791no—
1080#124—791no—
1081#124—1581no—
1082#124—1581no—
1083#124—1581no—
1084#124—1581no—
1085#123—1581no—
1086#123—1581no—
1087#123—1581no—
1088#123—1581no—
1089#123—1581no—
1090#123—1581no—
1091#123—1581no—
1092#123—1581no—
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—
1118#121—21no—
1119#121—791no—
1120#121—791no—
1121#121—791no—
1122#121—791no—
1123#121—1581no—
1124#121—1581no—
1125#121—1581no—
1126#121—1581no—
1127#121—1581no—
1128#121—1581no—
1129#121—1581no—
1130#121—1581no—
1131#121—1581no—
1132#121—1581no—
1133#121C22×D7911yescharacteristic
1134#121C22×D7911yescharacteristic
1135#120—1581no—
1136#120—1581no—
1137#120—1581no—
1138#120—1581no—
1139C4×Q8—791no—
1140C4×Q8—791no—
1141C4×Q8—791no—
1142C4×Q8—791no—
1143C4×Q8—1581no—
1144C4×Q8—1581no—
1145C4×Q8—1581no—
1146C4×Q8—1581no—
1147C4×Q8—1581no—
1148C4×Q8—1581no—
1149C4×Q8—1581no—
1150C4×Q8—1581no—
1151C4×D4—21no—
1152C4×D4—791no—
1153C4×D4—791no—
1154C4×D4—791no—
1155C4×D4—791no—
1156C4×D4—791no—
1157C4×D4—791no—
1158C4×D4—791no—
1159C4×D4—791no—
1160C4×D4—791no—
1161C4×D4—791no—
1162C4×D4—1581no—
1163C4×D4—1581no—
1164C4×D4—1581no—
1165C4×D4—1581no—
1166C4×D4—1581no—
1167C4×D4—1581no—
1168C4×D4—1581no—
1169C4×D4—1581no—
1170C4×D4—1581no—
1171C4×D4—1581no—
1172C4×D4—1581no—
1173C4×D4—1581no—
1174C4×D4—1581no—
1175C4×D4C22×D7911yescharacteristic
1176C4×D4C22×D7911yescharacteristic
1177#117—791no—
1178#117—791no—
1179#117—791no—
1180#117—791no—
1181#117—791no—
1182#117—791no—
1183#117—791no—
1184#117—791no—
1185#117—791no—
1186#117—791no—
1187#117—1581no—
1188#117—1581no—
1189#117—1581no—
1190C2×C4⋊C4—21no—
1191C2×C4⋊C4—21no—
1192C2×C4⋊C4—791no—
1193C2×C4⋊C4—791no—
1194C2×C4⋊C4—791no—
1195C2×C4⋊C4—791no—
1196C2×C4⋊C4—791no—
1197C2×C4⋊C4—1581no—
1198C2×C4⋊C4—1581no—
1199C2×C4⋊C4—1581no—
1200C2×C4⋊C4—1581no—
1201C2×C4⋊C4C22×D7911yescharacteristic
1202C2×C4⋊C4C22×D7911yescharacteristic
1203C2×C22⋊C4—1581no—
1204C2×C42—791no—
1205C2×C42—791no—
1206C2×C42—1581no—
1207C2×C42C22×D7911yescharacteristic
1208#107—791no—
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#107C22×D7911yescharacteristic
1221#107C22×D7911yescharacteristic
1222#107C22×D7911yescharacteristic
1223#107C22×D7911yescharacteristic
1224#106—791no—
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#106C22×D7911yescharacteristic
1237#106C22×D7911yescharacteristic
1238#106C22×D7911yescharacteristic
1239#106C22×D7911yescharacteristic
1240C4⋊C8—791no—
1241C4⋊C8—791no—
1242C4⋊C8—791no—
1243C4⋊C8—791no—
1244C4⋊C8—791no—
1245C4⋊C8—791no—
1246C4⋊C8C22×D7911yescharacteristic
1247C4⋊C8C22×D7911yescharacteristic
1248#103—791no—
1249#103—791no—
1250#103—791no—
1251#103—791no—
1252#103—791no—
1253#103—791no—
1254#103—791no—
1255#103—791no—
1256#102—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#102C22×D7911yescharacteristic
1273#102C22×D7911yescharacteristic
1274#102C22×D7911yescharacteristic
1275#102C22×D7911yescharacteristic
1276#102C22×D7911yescharacteristic
1277#102C22×D7911yescharacteristic
1278#102C22×D7911yescharacteristic
1279#102C22×D7911yescharacteristic
1280C22⋊C8—791no—
1281C22⋊C8—791no—
1282C22⋊C8—791no—
1283C22⋊C8—791no—
1284C22⋊C8—791no—
1285C22⋊C8—791no—
1286C22⋊C8C22×D7911yescharacteristic
1287C22⋊C8C22×D7911yescharacteristic
1288#97—791no—
1289#97—791no—
1290#97C22×D7911yescharacteristic
1291#97C22×D7911yescharacteristic
1292C4×C8—791no—
1293C4×C8—791no—
1294C4×C8—791no—
1295C4×C8—791no—
1296C24—1581no—
1297#41—82no—
1298#41—6322no—
1299#41—1582no—
1300#41—1582no—
1301#41—1582no—
1302#41—1582no—
1303C2×Q8—21no—
1304C2×Q8—791no—
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×D4—21no—
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—21no—
1317C2×D4—791no—
1318C2×D4—791no—
1319C2×D4—791no—
1320C2×D4—791no—
1321C2×D4—1581no—
1322C2×D4—1582no—
1323C2×D4—1582no—
1324C2×D4—1581no—
1325C2×D4—1581no—
1326C2×D4—1581no—
1327C2×D4—1581no—
1328C2×D4—1581no—
1329C2×D4—1581no—
1330C2×D4—1581no—
1331C2×D4C23×D7911yescharacteristic
1332C2×D4C23×D7911yescharacteristic
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—791no—
1338C22×C4—791no—
1339C22×C4—791no—
1340C22×C4—791no—
1341C22×C4—791no—
1342C22×C4—791no—
1343C22×C4—6322no—
1344C22×C4—1581no—
1345C22×C4—1581no—
1346C22×C4—1581no—
1347C22×C4—1581no—
1348C22×C4—1581no—
1349C22×C4—1581no—
1350C22×C4—1581no—
1351C22×C4—1581no—
1352C22×C4—1581no—
1353C22×C4—1581no—
1354C22×C4D4×D7911yescharacteristic
1355C22×C4D4×D7911yescharacteristic
1356C22×C4C23×D7911yescharacteristic
1357M16—1582no—
1358M16—1582no—
1359C2×C8—791no—
1360C2×C8—791no—
1361C2×C8—791no—
1362C2×C8—791no—
1363C2×C8—1582no—
1364C2×C8—1582no—
1365C2×C8C23×D7911yescharacteristic
1366C2×C8C23×D7911yescharacteristic
1367C2×C8C23×D7911yescharacteristic
1368C2×C8C23×D7911yescharacteristic
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—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
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—791no—
1390C4⋊C4—791no—
1391C4⋊C4—791no—
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⋊C4—1581no—
1420C4⋊C4—1581no—
1421C4⋊C4—1581no—
1422C4⋊C4—1581no—
1423C4⋊C4—1581no—
1424C4⋊C4C23×D7911yescharacteristic
1425C4⋊C4C23×D7911yescharacteristic
1426C4⋊C4C23×D7911yescharacteristic
1427C4⋊C4C23×D7911yescharacteristic
1428C4⋊C4C23×D7911yescharacteristic
1429C4⋊C4C23×D7911yescharacteristic
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—791no—
1435C22⋊C4—791no—
1436C22⋊C4—791no—
1437C22⋊C4—791no—
1438C22⋊C4—791no—
1439C22⋊C4—791no—
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⋊C4—1581no—
1461C42—791no—
1462C42—791no—
1463C42—791no—
1464C42—791no—
1465C42—791no—
1466C42—791no—
1467C42—1581no—
1468C42—1581no—
1469C42—1581no—
1470C42—1581no—
1471C42—1581no—
1472C42—1581no—
1473C42—1581no—
1474C42—1581no—
1475C42—1581no—
1476C42D4×D7911yescharacteristic
1477C42D4×D7911yescharacteristic
1478C42C23×D7911yescharacteristic
1479C42C23×D7911yescharacteristic
1480C23—21no—
1481C23—21no—
1482C23—3162no—
1483C23—791no—
1484C23—791no—
1485C23—6321no—
1486C23—6321no—
1487C23—1581no—
1488C23C2×D4×D7911yescharacteristic
1489Q8—81no—
1490Q8—6321no—
1491Q8—6321no—
1492Q8—6321no—
1493Q8—6321no—
1494Q8—6321no—
1495Q8—6321no—
1496Q8—6321no—
1497Q8—1582no—
1498Q8—1581no—
1499Q8—1581no—
1500D4—21no—
1501D4—21no—
1502D4—21no—
1503D4—21no—
1504D4—81no—
1505D4—81no—
1506D4—81no—
1507D4—81no—
1508D4—3162no—
1509D4—3162no—
1510D4—6321no—
1511D4—6321no—
1512D4—6321no—
1513D4—6321no—
1514D4—6321no—
1515D4—6321no—
1516D4—1582no—
1517D4—1582no—
1518D4—1582no—
1519D4—1581no—
1520D4—1581no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—42no—
1532C2×C4—42no—
1533C2×C4—81no—
1534C2×C4—81no—
1535C2×C4—3162no—
1536C2×C4—3161no—
1537C2×C4—3161no—
1538C2×C4—3161no—
1539C2×C4—3161no—
1540C2×C4—3162no—
1541C2×C4—791no—
1542C2×C4—792no—
1543C2×C4—792no—
1544C2×C4—791no—
1545C2×C4—791no—
1546C2×C4—791no—
1547C2×C4—791no—
1548C2×C4—791no—
1549C2×C4—6321no—
1550C2×C4—6321no—
1551C2×C4—6321no—
1552C2×C4—6321no—
1553C2×C4—6321no—
1554C2×C4—6321no—
1555C2×C4—6321no—
1556C2×C4—6321no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4C2×D4×D7911yescharacteristic
1567C2×C4C2×D4×D7911yescharacteristic
1568C2×C4C2×D4×D7911yescharacteristic
1569C2×C4C2×D4×D7911yescharacteristic
1570C2×C4C2×D4×D7911yescharacteristic
1571C2×C4C24×D7911yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—1581no—
1577C8—1581no—
1578C8—1581no—
1579C8—1581no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—3161no—
1590C22—3161no—
1591C22—3161no—
1592C22—792no—
1593C22—6324no—
1594C22—1581no—
1595C22—1581no—
1596C22—1581no—
1597C22—1581no—
1598C22—1581no—
1599C22C22×D4×D7911yescharacteristic
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—3161no—
1612C4—3161no—
1613C4—3161no—
1614C4—3161no—
1615C4—3161no—
1616C4—3161no—
1617C4—3161no—
1618C4—792no—
1619C4—1581no—
1620C4—1581no—
1621C4—1581no—
1622C4—1581no—
1623C4—1581no—
1624C42−1+4×D7911yescharacteristic
1625C42−1+4×D7911yescharacteristic
1626C2—41no—
1627C2—81no—
1628C2—81no—
1629C2—3161no—
1630C2—6321no—
1631C2—1582no—
1632C2#536×D7911yescharacteristic
1633C2#2377817311yescharacteristic
1634C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3234C2
socleC22×C79C23×D4
prime radical#23776814C2
hypercenter#3234D79
hypocenterC79#60890
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3234

Complements

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

NH ≅ G/Ntype
1. #23777224C2semidirect
3. #23774699C2semidirect
4. #23774694C2semidirect
5. #23774684C2semidirect
6. #23774679C2semidirect
7. #23774657C2semidirect
8. #23774649C2semidirect
9. #23774648C2semidirect
10. #23774648C2semidirect
11. #23774642C2semidirect
12. #23774639C2semidirect
13. #23774588C2semidirect
14. #23774568C2semidirect
15. #23774566C2semidirect
16. #23774535C2semidirect
17. #23774532C2semidirect
18. #23773935C2semidirect
19. #23773927C2semidirect
20. #23773755C2semidirect
21. #23773755C2semidirect
22. #23773390C2semidirect
23. #23773373C2semidirect
24. #23773357C2semidirect
25. #23773351C2semidirect
26. #23773217C2semidirect
27. #23773195C2semidirect
28. #23773185C2semidirect
29. #478×D79C2semidirect
30. #23772067C2semidirect
31. C79×#3234C2semidirect
40. #19099194C22semidirect
41. #19099194C22semidirect
44. #19099193C22semidirect
45. #19099193C22semidirect
58. #19099120C22semidirect
60. #19099119C22semidirect
67. #125×D79C22semidirect
75. #19098972C22semidirect
76. #19098972C22semidirect
77. #19098971C22semidirect
78. #19098971C22semidirect
79. #19098970C22semidirect
80. #19098970C22semidirect
81. #19098967C22semidirect
82. #19098966C22semidirect
83. #19098964C22semidirect
84. #19098963C22semidirect
85. #19098962C22semidirect
86. #19098962C22semidirect
87. #19098960C22semidirect
88. #19098959C22semidirect
103. #19098907C22semidirect
104. #19098906C22semidirect
105. #19098905C22semidirect
106. #19098905C22semidirect
107. #19098900C22semidirect
108. #19098898C22semidirect
109. #19098895C22semidirect
110. #19098893C22semidirect
116. #19098886C22semidirect
118. #19098885C22semidirect
121. #19098884C22semidirect
122. #19098884C22semidirect
126. #19098880C22semidirect
130. #19098875C22semidirect
131. #19098873C22semidirect
132. #19098871C22semidirect
133. #19098871C22semidirect
134. #19098869C22semidirect
135. #19098867C22semidirect
136. #19098867C22semidirect
139. #19098865C22semidirect
144. #19098863C22semidirect
145. #19098863C22semidirect
148. #19098861C22semidirect
151. #19098857C22semidirect
154. #19098851C22semidirect
155. #19098847C22semidirect
158. #19098841C22semidirect
159. #19098625C22semidirect
160. #19098625C22semidirect
161. #19098621C22semidirect
162. #19098621C22semidirect
163. #19098619C22semidirect
164. #19098616C22semidirect
165. #19098615C22semidirect
189. C2×#125×C79C22semidirect
190. #501×C79C22semidirect
191. #501×C79C22semidirect
195. #481×C79C22semidirect
197. #480×C79C22semidirect
200. #478×C79C22semidirect
201. #478×C79C22semidirect
202. #432×C79C22semidirect
831. #3234D79semidirect
849. C79#60890semidirect
887. C2×#125C2×D79semidirect
901. #501C2×D79semidirect
902. #501C2×D79semidirect
952. #481C2×D79semidirect
958. #480C2×D79semidirect
981. #478C2×D79semidirect
982. #478C2×D79semidirect
996. #432C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237772242
#237768142
#237746992
#237746942
#237746842
#237746792
#237746572
#237746492
#237746482
#237746422
#237746392
#237745882
#237745682
#237745662
#237745352
#237745322
#237739352
#237739272
#237737552
#237733902
#237733732
#237733572
#237733512
#237732172
#237731952
#237731852
#478×D792
#237720672
C79×#32342
#6089079