Finite Group Databasebeta

← #35185471

Subgroups — #35185471

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#23778035C211yesmaximal, characteristic, complemented
2#23777329C211yesmaximal, characteristic, complemented
3#23776356C211yesmaximal, characteristic, complemented
4#23776270C211yesmaximal, characteristic, complemented
5#23776174C211yesmaximal, characteristic, complemented
6#23776055C211yesmaximal, characteristic, complemented
7#23775990C211yesmaximal, characteristic, complemented
8#23775962C211yesmaximal, characteristic, complemented
9#23775955C211yesmaximal, characteristic, complemented
10#23775928C211yesmaximal, characteristic, complemented
11#23775844C211yesmaximal, characteristic, complemented
12#23775796C211yesmaximal, characteristic, complemented
13#23775627C211yesmaximal, characteristic, complemented
14#23775617C211yesmaximal, characteristic, complemented
15#23775560C211yesmaximal, characteristic, complemented
16#23775545C211yesmaximal, characteristic, complemented
17#23775235C211yesmaximal, characteristic, complemented
18#23774857C211yesmaximal, characteristic, complemented
19#23774812C211yesmaximal, characteristic, complemented
20#23774798C211yesmaximal, characteristic, complemented
21#23774704C211yesmaximal, characteristic, complemented
22#23774649C211yesmaximal, characteristic, complemented
23#23774574C211yesmaximal, characteristic, complemented
24#23773678C211yesmaximal, characteristic, complemented
25#23773577C211yesmaximal, characteristic, complemented
26#23773445C211yesmaximal, characteristic, complemented
27#23773255C211yesmaximal, characteristic, complemented
28#23773233C211yesmaximal, characteristic, complemented
29#23773195C211yesmaximal, characteristic, complemented
30#23772544C211yesmaximal, characteristic, complemented
31C79×#3322C211yesmaximal, characteristic, complemented
32#19099315—21no—
33#19099308—21no—
34#19099295C2211yescharacteristic
35#19099290C2211yescharacteristic, complemented
36#19099283—21no—
37#19099281C2211yescharacteristic
38#19099277C2211yescharacteristic, complemented
39#19099272C2211yescharacteristic
40#19099272C2211yescharacteristic, complemented
41#19099265C2211yescharacteristic
42#19099259C2211yescharacteristic
43#19099256—21no—
44#19099253C2211yescharacteristic, complemented
45#19099250—21no—
46#19099248C2211yescharacteristic, complemented
47#19099247C2211yescharacteristic
48#19099239—21no—
49#19099236—21no—
50#19099213C2211yescharacteristic
51#19099201C2211yescharacteristic
52#19099200—21no—
53D4×C22⋊D79C2211yescharacteristic
54#19099194C2211yescharacteristic, complemented
55#19099191C2211yescharacteristic, complemented
56#19099186C2211yescharacteristic
57#19099181—21no—
58#19099180—21no—
59#19099180C2211yescharacteristic, complemented
60#19099180C2211yescharacteristic, complemented
61#19099170—21no—
62#19099166C2211yescharacteristic
63#19099157—21no—
64#19099155—21no—
65#19099148—21no—
66#19099119C2211yescharacteristic, complemented
67#19099095C2211yescharacteristic
68#19099095C2211yescharacteristic, complemented
69#19099092C2211yescharacteristic
70#19099073—21no—
71C2×#14579143—21no—
72#19099046C2211yescharacteristic
73#19099038C2211yescharacteristic
74C4×D4×D79C2211yescharacteristic
75#19098971C2211yescharacteristic, complemented
76#19098971C2211yescharacteristic, complemented
77#19098965C2211yescharacteristic, complemented
78#19098964C2211yescharacteristic, complemented
79#19098962C2211yescharacteristic, complemented
80#19098960C2211yescharacteristic, complemented
81#19098926C2211yescharacteristic
82#19098924C2211yescharacteristic, complemented
83#19098919C2211yescharacteristic, complemented
84#19098917C2211yescharacteristic, complemented
85#19098908C2211yescharacteristic
86#19098905C2211yescharacteristic, complemented
87#19098903C2211yescharacteristic, complemented
88#19098902C2211yescharacteristic, complemented
89#19098900C2211yescharacteristic, complemented
90#19098894C2211yescharacteristic, complemented
91#19098891C2211yescharacteristic, complemented
92#19098888C2211yescharacteristic, complemented
93#19098887C2211yescharacteristic
94#19098886C2211yescharacteristic
95#19098885C2211yescharacteristic
96#19098884C2211yescharacteristic, complemented
97#19098884C2211yescharacteristic, complemented
98#19098882C2211yescharacteristic
99#19098881C2211yescharacteristic, complemented
100#19098880C2211yescharacteristic, complemented
101#19098879C2211yescharacteristic, complemented
102#19098873C2211yescharacteristic, complemented
103#19098871C2211yescharacteristic, complemented
104#19098868C2211yescharacteristic, complemented
105#19098868C2211yescharacteristic, complemented
106#19098866C2211yescharacteristic, complemented
107#19098865C2211yescharacteristic
108#19098865C2211yescharacteristic
109#19098865C2211yescharacteristic, complemented
110#19098864C2211yescharacteristic, complemented
111#19098863C2211yescharacteristic
112#19098863C2211yescharacteristic, complemented
113#19098861C2211yescharacteristic
114#19098861C2211yescharacteristic, complemented
115#19098861C2211yescharacteristic, complemented
116#19098860C2211yescharacteristic, complemented
117#19098857C2211yescharacteristic, complemented
118#19098856C2211yescharacteristic, complemented
119#19098856C2211yescharacteristic, complemented
120#19098852C2211yescharacteristic, complemented
121#19098851C2211yescharacteristic
122#19098851C2211yescharacteristic, complemented
123#19098851C2211yescharacteristic, complemented
124#19098846C2211yescharacteristic, complemented
125#19098842C2211yescharacteristic, complemented
126#19098841C2211yescharacteristic
127#19098841C2211yescharacteristic
128#19098841C2211yescharacteristic
129#19098841C2211yescharacteristic, complemented
130#19098841C2211yescharacteristic, complemented
131#19098820C2211yescharacteristic, complemented
132#19098813C2211yescharacteristic
133#19098809C2211yescharacteristic
134#19098809C2211yescharacteristic, complemented
135#19098808C2211yescharacteristic
136#19098806C2211yescharacteristic, complemented
137#19098802C2211yescharacteristic, complemented
138#19098797C2211yescharacteristic
139#19098797C2211yescharacteristic, complemented
140#19098790C2211yescharacteristic, complemented
141#19098788C2211yescharacteristic, complemented
142#19098783C2211yescharacteristic, complemented
143#19098782C2211yescharacteristic, complemented
144#19098780C2211yescharacteristic, complemented
145#19098777C2211yescharacteristic, complemented
146#19098776C2211yescharacteristic
147#19098776C2211yescharacteristic, complemented
148#19098762C2211yescharacteristic
149#19098756C2211yescharacteristic
150#19098725C2211yescharacteristic
151#19098715C2211yescharacteristic
152#19098714C2211yescharacteristic
153#19098695C2211yescharacteristic
154#19098693C2211yescharacteristic, complemented
155#19098687C2211yescharacteristic, complemented
156#19098675C2211yescharacteristic
157#19098675C2211yescharacteristic
158#19098667C2211yescharacteristic, complemented
159#19098660C2211yescharacteristic, complemented
160#19098654C2211yescharacteristic
161#19098654C2211yescharacteristic
162C4×#11929613C2211yescharacteristic, complemented
163SD16×Dic79C2211yescharacteristic, complemented
164C4×#11929612C2211yescharacteristic
165D8×Dic79C2211yescharacteristic, complemented
166C4×#11929609C2211yescharacteristic, complemented
167#19098639C2211yescharacteristic
168#19098639C2211yescharacteristic, complemented
169#19098631C2211yescharacteristic
170#19098631C2211yescharacteristic, complemented
171D4×C79⋊C8C2211yescharacteristic, complemented
172#19098621C2211yescharacteristic, complemented
173#19098621C2211yescharacteristic, complemented
174#19098614C2211yescharacteristic, complemented
175#19098605C2211yescharacteristic, complemented
176#19098605C2211yescharacteristic, complemented
177#19098604C2211yescharacteristic, complemented
178#19098602C2211yescharacteristic, complemented
179#19098599C2211yescharacteristic, complemented
180C2×#14579094C2211yescharacteristic, complemented
181#19098591C2211yescharacteristic, complemented
182#19098591C2211yescharacteristic, complemented
183#19098585C2211yescharacteristic, complemented
184#19098566C2211yescharacteristic
185#19098566C2211yescharacteristic
186#19098559C2211yescharacteristic
187C2×#14579082C2211yescharacteristic
188#553×C79C2211yescharacteristic, complemented
189#546×C79C2211yescharacteristic
190#488×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#480×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic
194#469×C79C2211yescharacteristic, complemented
195#468×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#449×C79C2211yescharacteristic
198#447×C79C2211yescharacteristic
199C4×D8×C79C2211yescharacteristic
200#436×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic
202#417×C79C2211yescharacteristic
203C2×#11929623—21no—
204C22×C22⋊D79—21no—
205C2×D4×D79C2311yescharacteristic
206C22×C4×D79—21no—
207C2×#11929614C2311yescharacteristic
208C2×#11929613C2311yescharacteristic
209C2×#11929612C2311yescharacteristic
210C2×#11929612C2311yescharacteristic
211C2×#11929609C2311yescharacteristic
212C2×#11929607C2311yescharacteristic
213C2×#11929607C2311yescharacteristic
214C22×C79⋊C8C2311yescharacteristic
215C22×C79⋊C8C2311yescharacteristic
216#14579161—21no—
217#14579160—21no—
218#14579160—21no—
219#14579160C2311yescharacteristic
220#14579160C2311yescharacteristic
221#14579160C2311yescharacteristic
222#14579160C2311yescharacteristic
223#14579160C2311yescharacteristic
224#14579157C2311yescharacteristic
225#14579156—21no—
226#14579156—21no—
227#14579156—21no—
228#14579155—21no—
229#14579154—21no—
230#14579154—21no—
231#14579154—21no—
232#14579154—21no—
233#14579154—21no—
234#14579154—21no—
235#14579154—21no—
236#14579154—21no—
237#14579154D411yescharacteristic
238#14579154D411yescharacteristic
239#14579153—21no—
240#14579153C2311yescharacteristic
241#14579153C2311yescharacteristic
242#14579152—21no—
243#14579152D411yescharacteristic
244#14579152C2311yescharacteristic
245#14579152C2311yescharacteristic
246#14579152C2311yescharacteristic
247#14579152C2311yescharacteristic
248#14579151—21no—
249#14579151—21no—
250#14579151—21no—
251#14579151—21no—
252#14579151—21no—
253#14579150C2311yescharacteristic
254#14579148—21no—
255#14579148—21no—
256#14579148—21no—
257#14579148D411yescharacteristic
258#14579148C2311yescharacteristic
259#14579147—21no—
260#14579147—21no—
261#14579147—21no—
262#14579147—21no—
263#14579145—21no—
264#14579145—21no—
265#14579145—21no—
266#14579144—21no—
267#14579144—21no—
268#14579143—21no—
269#14579143—21no—
270#14579143—21no—
271#14579143—21no—
272#14579143—21no—
273#14579143—21no—
274#14579143—21no—
275#14579143—21no—
276#14579143D411yescharacteristic
277#14579143D411yescharacteristic
278#14579142—21no—
279#14579142—21no—
280#14579142—21no—
281#14579142—21no—
282#14579141—21no—
283#14579141D411yescharacteristic
284#14579141C2311yescharacteristic
285#14579140—21no—
286#14579140—21no—
287#14579140—21no—
288#14579140—21no—
289#14579140C2311yescharacteristic
290#14579140C2311yescharacteristic
291#14579139—21no—
292#14579139—21no—
293#14579138—21no—
294#14579138—21no—
295#14579138—21no—
296#14579138—21no—
297#14579138—21no—
298#14579138—21no—
299#14579138—21no—
300#14579138—21no—
301#14579138—21no—
302#14579137C2311yescharacteristic
303#14579135C2311yescharacteristic
304#14579135C2311yescharacteristic
305#14579133—21no—
306#14579133—21no—
307#14579133—21no—
308#14579133—21no—
309#14579133—21no—
310#14579133—21no—
311#14579132—21no—
312#14579132D411yescharacteristic
313#14579132C2311yescharacteristic
314#14579132C2311yescharacteristic
315#14579130—21no—
316#14579129—21no—
317#14579129—21no—
318Q8×Dic79C2311yescharacteristic
319Q8×Dic79C2311yescharacteristic
320C4×Dic158—21no—
321C4×Dic158C2311yescharacteristic
322C4×Dic158C2311yescharacteristic
323#14579126—21no—
324#14579126—21no—
325#14579126—21no—
326#14579126C2311yescharacteristic
327#14579126C2311yescharacteristic
328C4×D316C2311yescharacteristic
329D4×Dic79—21no—
330D4×Dic79—21no—
331D4×Dic79—21no—
332D4×Dic79—21no—
333D4×Dic79—21no—
334D4×Dic79C2311yescharacteristic
335D4×Dic79C2311yescharacteristic
336D4×Dic79C2311yescharacteristic
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic
339D4×Dic79C2311yescharacteristic
340D4×Dic79C2311yescharacteristic
341#14579123C2311yescharacteristic
342C4×C22⋊D79—21no—
343C4×C22⋊D79—21no—
344C4×C22⋊D79C2311yescharacteristic
345C4×C22⋊D79C2311yescharacteristic
346(C22⋊D79)⋊C4—21no—
347(C22⋊D79)⋊C4—21no—
348(C22⋊D79)⋊C4—21no—
349(C22⋊D79)⋊C4—21no—
350#14579120—21no—
351#14579120—21no—
352#14579120—21no—
353#14579120C2311yescharacteristic
354#14579120C2311yescharacteristic
355#14579120C2311yescharacteristic
356#14579120C2311yescharacteristic
357#14579119—21no—
358#14579119C2311yescharacteristic
359#14579119C2311yescharacteristic
360#14579117—21no—
361#14579117—21no—
362#14579117—21no—
363C2×C4⋊Dic79—21no—
364C2×C4⋊Dic79C2311yescharacteristic
365C2×C4⋊Dic79C2311yescharacteristic
366C2×Dic79⋊C4—21no—
367C2×Dic79⋊C4—21no—
368C4⋊C4×D79C2311yescharacteristic
369C2×C22⋊Dic79—21no—
370C2×C22⋊Dic79—21no—
371C2×(C2×D79)⋊C4—21no—
372C22⋊C4×D79—21no—
373C42×D79C2311yescharacteristic
374#14579095C2311yescharacteristic
375#14579095C2311yescharacteristic
376#14579095C2311yescharacteristic
377#14579095C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579093C2311yescharacteristic
385#14579093C2311yescharacteristic
386#14579093C2311yescharacteristic
387#14579093C2311yescharacteristic
388#14579093C2311yescharacteristic
389#14579092C2311yescharacteristic
390#14579092C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579084C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426C22⋊(C79⋊C8)C2311yescharacteristic
427C22⋊(C79⋊C8)C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C2×#41×C79C2311yescharacteristic
436C22×D4×C79C2311yescharacteristic
437C2×SD16×C79C2311yescharacteristic
438C2×D8×C79C2311yescharacteristic
439C2×D8×C79C2311yescharacteristic
440C2×M16×C79C2311yescharacteristic
441C2×M16×C79C2311yescharacteristic
442#126×C79—21no—
443#125×C79C2311yescharacteristic
444#124×C79C2311yescharacteristic
445#123×C79—21no—
446#123×C79—21no—
447C22⋊Q8×C79C2311yescharacteristic
448#121×C79—21no—
449#121×C79—21no—
450#121×C79C2311yescharacteristic
451#121×C79C2311yescharacteristic
452#121×C79C2311yescharacteristic
453#120×C79—21no—
454C4×D4×C79—21no—
455C4×D4×C79C2311yescharacteristic
456C4×D4×C79C2311yescharacteristic
457C4×D4×C79C2311yescharacteristic
458#117×C79C2311yescharacteristic
459C2×C4⋊C4×C79C2311yescharacteristic
460C2×C22⋊C4×C79—21no—
461#107×C79C2311yescharacteristic
462#107×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465#103×C79C2311yescharacteristic
466#103×C79C2311yescharacteristic
467#103×C79C2311yescharacteristic
468#102×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476C22⋊C8×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79—21no—
479#11929623—82no—
480C2×Dic158—21no—
481C2×Dic158—21no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158C2×D411yescharacteristic
486C2×Dic158C2411yescharacteristic
487C2×D316C2411yescharacteristic
488C2×C22⋊D79—21no—
489C2×C22⋊D79—21no—
490C2×C22⋊D79—21no—
491C2×C22⋊D79—21no—
492C2×C22⋊D79—21no—
493C2×C22⋊D79—21no—
494C2×C22⋊D79—21no—
495C2×C22⋊D79—82no—
496C2×C22⋊D79C2×D411yescharacteristic
497C2×C22⋊D79C2×D411yescharacteristic
498D4×D79—22no—
499D4×D79—41no—
500C22×Dic79—21no—
501C22×Dic79—21no—
502C22×Dic79—21no—
503C22×Dic79—21no—
504C22×Dic79—21no—
505C22×Dic79—21no—
506C22×Dic79—21no—
507C22×Dic79—21no—
508C22×Dic79—21no—
509C2×C4×D79—21no—
510C2×C4×D79—21no—
511C2×C4×D79—21no—
512C2×C4×D79—82no—
513C2×C4×D79C2×D411yescharacteristic
514C2×C4×D79C2×D411yescharacteristic
515C2×C4×D79C2411yescharacteristic
516#11929614—41no—
517#11929613—41no—
518#11929612—22no—
519#11929612—41no—
520#11929609—41no—
521#11929607—41no—
522#11929607—41no—
523C2×C79⋊C8—41no—
524C2×C79⋊C8—41no—
525C2×C79⋊C8C2411yescharacteristic
526C2×C79⋊C8C2411yescharacteristic
527C2×C79⋊C8C2411yescharacteristic
528C2×C79⋊C8C2411yescharacteristic
529C4⋊Dic79—21no—
530C4⋊Dic79—21no—
531C4⋊Dic79—21no—
532C4⋊Dic79—21no—
533C4⋊Dic79—21no—
534C4⋊Dic79—21no—
535C4⋊Dic79—21no—
536C4⋊Dic79—21no—
537C4⋊Dic79—21no—
538C4⋊Dic79C2×D411yescharacteristic
539C4⋊Dic79C2×D411yescharacteristic
540C4⋊Dic79C2×D411yescharacteristic
541C4⋊Dic79C2×D411yescharacteristic
542C4⋊Dic79C2×D411yescharacteristic
543C4⋊Dic79C2411yescharacteristic
544C4⋊Dic79C2411yescharacteristic
545C4⋊Dic79C2411yescharacteristic
546C4⋊Dic79C2411yescharacteristic
547C4⋊Dic79C2411yescharacteristic
548C4⋊Dic79C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
570Dic79⋊C4C2×D411yescharacteristic
571Dic79⋊C4C2×D411yescharacteristic
572Dic79⋊C4C2×D411yescharacteristic
573C22⋊Dic79—21no—
574C22⋊Dic79—21no—
575C22⋊Dic79—21no—
576C22⋊Dic79—21no—
577C22⋊Dic79—21no—
578C22⋊Dic79—21no—
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583C22⋊Dic79—21no—
584C22⋊Dic79—21no—
585C22⋊Dic79—21no—
586C22⋊Dic79—21no—
587C22⋊Dic79—21no—
588C22⋊Dic79C2×D411yescharacteristic
589C22⋊Dic79C2×D411yescharacteristic
590C22⋊Dic79C2×D411yescharacteristic
591C22⋊Dic79C2×D411yescharacteristic
592C22⋊Dic79C2×D411yescharacteristic
593C22⋊Dic79C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
605(C2×D79)⋊C4C2×D411yescharacteristic
606C4×Dic79—21no—
607C4×Dic79—21no—
608C4×Dic79—21no—
609C4×Dic79—21no—
610C4×Dic79—21no—
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79—21no—
614C4×Dic79—21no—
615C4×Dic79C2×D411yescharacteristic
616C4×Dic79C2×D411yescharacteristic
617C4×Dic79C2411yescharacteristic
618C4×Dic79C2411yescharacteristic
619C4×Dic79C2411yescharacteristic
620C24×C79—21no—
621#41×C79—22no—
622#41×C79—41no—
623C2×Q8×C79C2411yescharacteristic
624C2×D4×C79—22no—
625C2×D4×C79—21no—
626C2×D4×C79—21no—
627C2×D4×C79—21no—
628C2×D4×C79—21no—
629C2×D4×C79—21no—
630C2×D4×C79—41no—
631C2×D4×C79C2×D411yescharacteristic
632C2×D4×C79C2411yescharacteristic
633C2×D4×C79C2411yescharacteristic
634C2×D4×C79C2411yescharacteristic
635C22×C4×C79—21no—
636C22×C4×C79—21no—
637C22×C4×C79—21no—
638C22×C4×C79—21no—
639C22×C4×C79C2411yescharacteristic
640C22×C4×C79C2411yescharacteristic
641SD16×C79—41no—
642D8×C79—22no—
643D8×C79—41no—
644M16×C79—41no—
645M16×C79—41no—
646C2×C8×C79C2411yescharacteristic
647C2×C8×C79C2411yescharacteristic
648C2×C8×C79C2411yescharacteristic
649C2×C8×C79C2411yescharacteristic
650C4⋊C4×C79—21no—
651C4⋊C4×C79—21no—
652C4⋊C4×C79—21no—
653C4⋊C4×C79—21no—
654C4⋊C4×C79C2×D411yescharacteristic
655C4⋊C4×C79C2411yescharacteristic
656C4⋊C4×C79C2411yescharacteristic
657C4⋊C4×C79C2411yescharacteristic
658C4⋊C4×C79C2411yescharacteristic
659C22⋊C4×C79—21no—
660C22⋊C4×C79—21no—
661C22⋊C4×C79—21no—
662C22⋊C4×C79—21no—
663C22⋊C4×C79—21no—
664C22⋊C4×C79—21no—
665C22⋊C4×C79—21no—
666C22⋊C4×C79—21no—
667C22⋊C4×C79—21no—
668C22⋊C4×C79C2×D411yescharacteristic
669C22⋊C4×C79C2×D411yescharacteristic
670C42×C79—21no—
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—21no—
675C23×C79—42no—
676C23×C79—81no—
677C23×C79—81no—
678C23×C79C22×D411yescharacteristic
679C23×C79C22×D411yescharacteristic
680C22×D79—21no—
681C22×D79—42no—
682C22×D79—42no—
683C22×D79—81no—
684C22×D79C22×D411yescharacteristic
685Q8×C79—21no—
686Q8×C79—21no—
687D4×C79—21no—
688D4×C79—21no—
689D4×C79—21no—
690D4×C79—21no—
691D4×C79—21no—
692D4×C79—41no—
693D4×C79—42no—
694D4×C79—42no—
695D4×C79—81no—
696D4×C79—81no—
697D4×C79—81no—
698D4×C792−1+412yes—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—42no—
709C2×C4×C79—81no—
710C2×C4×C79—81no—
711C2×C4×C79—81no—
712C2×C4×C79C22×D411yescharacteristic
713C2×C4×C79C22×D411yescharacteristic
714C2×C4×C79C22×D411yescharacteristic
715C2×C4×C79C22×D411yescharacteristic
716C2×C4×C79C2511yescharacteristic
717C22⋊D79—41no—
718C22⋊D79—41no—
719C22⋊D79—42no—
720C22⋊D79—42no—
721C22⋊D79—81no—
722C22⋊D79—81no—
723C22⋊D79—81no—
724C22⋊D79—81no—
725C22⋊D79—81no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—21no—
733C2×Dic79—81no—
734C2×Dic79—81no—
735C2×Dic79—81no—
736C2×Dic79—81no—
737C2×Dic79—81no—
738C2×Dic79—81no—
739C2×Dic79—81no—
740C2×Dic79—81no—
741C2×Dic79—81no—
742C2×Dic79C22×D411yescharacteristic
743C2×Dic79C22×D411yescharacteristic
744C2×Dic79C22×D411yescharacteristic
745C2×Dic79C22×D411yescharacteristic
746C2×Dic79C22×D411yescharacteristic
747C2×Dic79C22×D411yescharacteristic
748C2×Dic79C22×D411yescharacteristic
749D316—21no—
750D316—21no—
751C4×D79—21no—
752C4×D79—21no—
753C4×D79—41no—
754C4×D79—41no—
755C4×D79—42no—
756C4×D79—81no—
757C4×D79—81no—
758Dic158—21no—
759Dic158—21no—
760Dic158—41no—
761Dic158—81no—
762Dic158—81no—
763Dic158—81no—
764Dic158—81no—
765Dic158—81no—
766C8×C79—21no—
767C8×C79—21no—
768C8×C79—21no—
769C8×C79—21no—
770C79⋊C8—21no—
771C79⋊C8—21no—
772C79⋊C8—21no—
773C79⋊C8—21no—
774C22×C79—21no—
775C22×C79—21no—
776C22×C79—21no—
777C22×C79—21no—
778C22×C79—22no—
779C22×C79—21no—
780C22×C79—21no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—41no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79—41no—
787C22×C79—41no—
788C22×C79—41no—
789C22×C79—162no—
790C22×C79C23×D411yescharacteristic
791C2×D79—21no—
792C2×D79—21no—
793C2×D79—21no—
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—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79C2×2−1+411yescharacteristic
808C4×C79#58511yescharacteristic
809Dic79—21no—
810Dic79—21no—
811Dic79—21no—
812Dic79—21no—
813Dic79—21no—
814Dic79—21no—
815Dic79—21no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823#62175—791nomaximal, Sylow
824C2×C79—42no—
825C2×C79—41no—
826C2×C79—41no—
827C2×C79—81no—
828C2×C79—81no—
829C2×C79#348911yescharacteristic
830C2×C79#358411yescharacteristic
831C2×C79#358511yescharacteristic
832D79—41no—
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#3322D7911yescharacteristic, complemented
849#3319—791no—
850#3318—791no—
851#3296—791no—
852#3262—791no—
853#3257—791no—
854#3256—791no—
855#3244—791no—
856#3241—791no—
857#3233—791no—
858#3125—791no—
859#3118—791no—
860#3105—791no—
861#3083—791no—
862#3081—791no—
863#3077—791no—
864#2993—791no—
865C79#6217511yescharacteristic, complemented, Sylow
866#563—1581no—
867#562—1581no—
868#559—791no—
869#557—791no—
870#556—791no—
871#556—1581no—
872#555—791no—
873#554—791no—
874#554—791no—
875#553—791no—
876#553—791no—
877#553—1581no—
878#553C2×D7911yescharacteristic, complemented
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—1581no—
888#546C2×D7911yescharacteristic
889D42—791no—
890#544—791no—
891#544—791no—
892#542—791no—
893#542—791no—
894#542—791no—
895#542—1581no—
896#542—1581no—
897#541—1581no—
898#540—791no—
899#539—1581no—
900#539—1581no—
901#538—1581no—
902#533—791no—
903#529—791no—
904#529—791no—
905#529—791no—
906#525—1581no—
907C2×#123—1581no—
908#520—791no—
909#518—791no—
910C2×C4×D4—791no—
911#501—791no—
912#501—791no—
913#499—791no—
914#499—791no—
915#499—791no—
916#498—791no—
917#490—791no—
918#489—791no—
919#488—791no—
920#488—791no—
921#488C2×D7911yescharacteristic, complemented
922#486—791no—
923#485—791no—
924#485—791no—
925#485—791no—
926#485C2×D7911yescharacteristic, complemented
927#484—791no—
928#483—791no—
929#483—791no—
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#482—791no—
935#482—791no—
936#481—791no—
937#481—791no—
938#481—791no—
939#481—791no—
940#480C2×D7911yescharacteristic, complemented
941#479—791no—
942#479—791no—
943#479—791no—
944#479—791no—
945#478—791no—
946#478—791no—
947#478—791no—
948#478—791no—
949#478—791no—
950#478—791no—
951#478—791no—
952#478—791no—
953#478—791no—
954#478—791no—
955#478—791no—
956#478C2×D7911yescharacteristic
957#477—791no—
958#477—791no—
959#477—791no—
960#476—791no—
961#476—791no—
962#476—791no—
963#476—791no—
964#475—791no—
965#474—791no—
966#474—791no—
967#474—791no—
968#474—791no—
969#474—791no—
970#474—791no—
971#470—791no—
972#469—791no—
973#469C2×D7911yescharacteristic, complemented
974#468—791no—
975#468—791no—
976#468—791no—
977#468—791no—
978#468C2×D7911yescharacteristic, complemented
979#467—791no—
980#466—791no—
981#466—791no—
982#465—791no—
983#464—791no—
984#464—791no—
985#464—791no—
986#463—791no—
987#463—791no—
988#463—791no—
989#463—791no—
990#463C2×D7911yescharacteristic, complemented
991#460—791no—
992#459—791no—
993#452—791no—
994#450—791no—
995#450—791no—
996#449C2×D7911yescharacteristic
997#447—791no—
998#447C2×D7911yescharacteristic
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×D8C2×D7911yescharacteristic
1013#436—791no—
1014#436—791no—
1015#436C2×D7911yescharacteristic, complemented
1016#435—791no—
1017#435—791no—
1018C8×D4—791no—
1019#433—791no—
1020#433—791no—
1021#431—791no—
1022#428—791no—
1023#428—791no—
1024#428—791no—
1025#428—791no—
1026#427—791no—
1027C2×#107—791no—
1028#424—791no—
1029#424—791no—
1030#423—791no—
1031#418—791no—
1032#418—791no—
1033#418C2×D7911yescharacteristic
1034#417C2×D7911yescharacteristic
1035#416—791no—
1036C2×#102—791no—
1037C2×#41—1581no—
1038C2×#41C22×D7911yescharacteristic
1039C22×D4—791no—
1040C22×D4—1581no—
1041C22×D4C22×D7911yescharacteristic
1042C23×C4—1581no—
1043C2×Q16—791no—
1044C2×SD16—791no—
1045C2×SD16—791no—
1046C2×SD16—791no—
1047C2×SD16C22×D7911yescharacteristic
1048C2×D8—791no—
1049C2×D8C22×D7911yescharacteristic
1050C2×D8C22×D7911yescharacteristic
1051C2×M16—791no—
1052C2×M16—791no—
1053C2×M16C22×D7911yescharacteristic
1054C2×M16C22×D7911yescharacteristic
1055C22×C8—791no—
1056C22×C8—791no—
1057C4⋊Q8—791no—
1058C4⋊Q8—791no—
1059C4⋊Q8—791no—
1060C4⋊Q8—791no—
1061C4⋊Q8—791no—
1062C4⋊Q8—1581no—
1063C4⋊Q8—1581no—
1064C4⋊Q8—1581no—
1065#127—791no—
1066#126—21no—
1067#126—791no—
1068#126—791no—
1069#126—1581no—
1070#126—1581no—
1071#126—1581no—
1072#126—1581no—
1073#126—1581no—
1074#126—1581no—
1075#126—1581no—
1076#126—1581no—
1077#126—1581no—
1078#126—1581no—
1079#126—1581no—
1080#126—1581no—
1081#125—791no—
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#125—1581no—
1095#125C22×D7911yescharacteristic
1096#124—791no—
1097#124—791no—
1098#124—791no—
1099#124—1581no—
1100#124—1581no—
1101#124—1581no—
1102#124—1581no—
1103#124—1581no—
1104#124—1581no—
1105#124—1581no—
1106#124C22×D7911yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—791no—
1110#123—791no—
1111#123—1581no—
1112#123—1581no—
1113#123—1581no—
1114#123—1581no—
1115#123—1581no—
1116#123—1581no—
1117#123—1581no—
1118#123—1581no—
1119#123—1581no—
1120#123—1581no—
1121#123—1581no—
1122#123—1581no—
1123#123—1581no—
1124#123—1581no—
1125#123—1581no—
1126#123—1581no—
1127#123—1581no—
1128C22⋊Q8—791no—
1129C22⋊Q8—791no—
1130C22⋊Q8—791no—
1131C22⋊Q8—791no—
1132C22⋊Q8—791no—
1133C22⋊Q8—1581no—
1134C22⋊Q8—1581no—
1135C22⋊Q8—1581no—
1136C22⋊Q8—1581no—
1137C22⋊Q8—1581no—
1138C22⋊Q8—1581no—
1139C22⋊Q8—1581no—
1140C22⋊Q8—1581no—
1141C22⋊Q8—1581no—
1142C22⋊Q8—1581no—
1143C22⋊Q8—1581no—
1144C22⋊Q8—1581no—
1145C22⋊Q8—1581no—
1146C22⋊Q8—1581no—
1147C22⋊Q8—1581no—
1148C22⋊Q8—1581no—
1149C22⋊Q8C22×D7911yescharacteristic
1150#121—21no—
1151#121—21no—
1152#121—791no—
1153#121—791no—
1154#121—791no—
1155#121—791no—
1156#121—791no—
1157#121—1581no—
1158#121—1581no—
1159#121—1581no—
1160#121—1581no—
1161#121—1581no—
1162#121—1581no—
1163#121—1581no—
1164#121C22×D7911yescharacteristic
1165#121C22×D7911yescharacteristic
1166#121C22×D7911yescharacteristic
1167#120—21no—
1168#120—1581no—
1169#120—1581no—
1170#120—1581no—
1171C4×Q8—791no—
1172C4×Q8—791no—
1173C4×Q8—791no—
1174C4×Q8—791no—
1175C4×Q8—791no—
1176C4×Q8—791no—
1177C4×Q8—1581no—
1178C4×Q8—1581no—
1179C4×Q8—1581no—
1180C4×Q8—1581no—
1181C4×D4—21no—
1182C4×D4—791no—
1183C4×D4—791no—
1184C4×D4—791no—
1185C4×D4—791no—
1186C4×D4—791no—
1187C4×D4—791no—
1188C4×D4—791no—
1189C4×D4—791no—
1190C4×D4—791no—
1191C4×D4—791no—
1192C4×D4—791no—
1193C4×D4—1581no—
1194C4×D4—1581no—
1195C4×D4—1581no—
1196C4×D4—1581no—
1197C4×D4—1581no—
1198C4×D4—1581no—
1199C4×D4—1581no—
1200C4×D4—1581no—
1201C4×D4—1581no—
1202C4×D4—1581no—
1203C4×D4—1581no—
1204C4×D4C22×D7911yescharacteristic
1205C4×D4C22×D7911yescharacteristic
1206C4×D4C22×D7911yescharacteristic
1207#117—791no—
1208#117—791no—
1209#117—791no—
1210#117—791no—
1211#117—791no—
1212#117—791no—
1213#117—1581no—
1214#117—1581no—
1215#117—1581no—
1216#117—1581no—
1217#117—1581no—
1218#117—1581no—
1219#117—1581no—
1220#117C22×D7911yescharacteristic
1221C2×C4⋊C4—791no—
1222C2×C4⋊C4—791no—
1223C2×C4⋊C4—791no—
1224C2×C4⋊C4—1581no—
1225C2×C4⋊C4—1581no—
1226C2×C4⋊C4—1581no—
1227C2×C4⋊C4C22×D7911yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—1581no—
1230C2×C22⋊C4—1581no—
1231C2×C22⋊C4—1581no—
1232C2×C22⋊C4—1581no—
1233C2×C42—791no—
1234#107—791no—
1235#107—791no—
1236#107—791no—
1237#107—791no—
1238#107—791no—
1239#107—791no—
1240#107—791no—
1241#107—791no—
1242#107—791no—
1243#107—791no—
1244#107C22×D7911yescharacteristic
1245#107C22×D7911yescharacteristic
1246#106—791no—
1247#106—791no—
1248#106—791no—
1249#106—791no—
1250#106—791no—
1251#106—791no—
1252#106—791no—
1253#106—791no—
1254#106—791no—
1255#106—791no—
1256#106—791no—
1257#106C22×D7911yescharacteristic
1258C4⋊C8—791no—
1259C4⋊C8—791no—
1260C4⋊C8—791no—
1261C4⋊C8—791no—
1262C4⋊C8—791no—
1263C4⋊C8—791no—
1264C4⋊C8—791no—
1265C4⋊C8—791no—
1266C4⋊C8—791no—
1267C4⋊C8C22×D7911yescharacteristic
1268#103—791no—
1269#103—791no—
1270#103—791no—
1271#103—791no—
1272#103—791no—
1273#103—791no—
1274#103—791no—
1275#103C22×D7911yescharacteristic
1276#103C22×D7911yescharacteristic
1277#103C22×D7911yescharacteristic
1278#102—791no—
1279#102—791no—
1280#102—791no—
1281#102—791no—
1282#102—791no—
1283#102—791no—
1284#102—791no—
1285#102—791no—
1286#102—791no—
1287#102—791no—
1288#102—791no—
1289#102—791no—
1290#102—791no—
1291#102—791no—
1292#102—791no—
1293#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⋊C8C22×D7911yescharacteristic
1305C22⋊C8C22×D7911yescharacteristic
1306#97—791no—
1307#97—791no—
1308C4×C8—791no—
1309C4×C8—791no—
1310C4×C8—791no—
1311C4×C8C22×D7911yescharacteristic
1312C24—21no—
1313C24—1581no—
1314#41—22no—
1315#41—41no—
1316#41—6322no—
1317C2×Q8—791no—
1318C2×Q8—791no—
1319C2×Q8—1581no—
1320C2×Q8—1581no—
1321C2×Q8—1581no—
1322C2×Q8—1581no—
1323C2×Q8—1581no—
1324C2×Q8C23×D7911yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—41no—
1332C2×D4—3161no—
1333C2×D4—791no—
1334C2×D4—791no—
1335C2×D4—791no—
1336C2×D4—6322no—
1337C2×D4—1581no—
1338C2×D4—1581no—
1339C2×D4—1581no—
1340C2×D4—1581no—
1341C2×D4—1582no—
1342C2×D4—1581no—
1343C2×D4—1581no—
1344C2×D4—1581no—
1345C2×D4D4×D7911yescharacteristic
1346C2×D4C23×D7911yescharacteristic
1347C2×D4C23×D7911yescharacteristic
1348C2×D4C23×D7911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—791no—
1354C22×C4—791no—
1355C22×C4—791no—
1356C22×C4—6322no—
1357C22×C4—1581no—
1358C22×C4—1581no—
1359C22×C4—1581no—
1360C22×C4—1581no—
1361C22×C4—1581no—
1362C22×C4—1581no—
1363C22×C4—1581no—
1364C22×C4—1581no—
1365C22×C4—1581no—
1366C22×C4—1581no—
1367C22×C4—1581no—
1368C22×C4—1581no—
1369C22×C4C23×D7911yescharacteristic
1370C22×C4C23×D7911yescharacteristic
1371Q16—3161no—
1372SD16—41no—
1373SD16—3161no—
1374SD16—3161no—
1375SD16—1582no—
1376D8—22no—
1377D8—41no—
1378D8—3161no—
1379M16—41no—
1380M16—41no—
1381M16—3161no—
1382M16—3161no—
1383C2×C8—3161no—
1384C2×C8—3161no—
1385C2×C8—791no—
1386C2×C8—791no—
1387C2×C8—791no—
1388C2×C8—791no—
1389C2×C8C23×D7911yescharacteristic
1390C2×C8C23×D7911yescharacteristic
1391C2×C8C23×D7911yescharacteristic
1392C2×C8C23×D7911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—791no—
1398C4⋊C4—791no—
1399C4⋊C4—791no—
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⋊C4—1581no—
1439C4⋊C4—1581no—
1440C4⋊C4—1581no—
1441C4⋊C4D4×D7911yescharacteristic
1442C4⋊C4C23×D7911yescharacteristic
1443C4⋊C4C23×D7911yescharacteristic
1444C4⋊C4C23×D7911yescharacteristic
1445C4⋊C4C23×D7911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—791no—
1456C22⋊C4—791no—
1457C22⋊C4—791no—
1458C22⋊C4—791no—
1459C22⋊C4—791no—
1460C22⋊C4—791no—
1461C22⋊C4—791no—
1462C22⋊C4—791no—
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—791no—
1492C42—791no—
1493C42—791no—
1494C42—791no—
1495C42—791no—
1496C42—1581no—
1497C42—1581no—
1498C42—1581no—
1499C42—1581no—
1500C42—1581no—
1501C42—1581no—
1502C42—1581no—
1503C42—1581no—
1504C42—1581no—
1505C42C23×D7911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—81no—
1511C23—81no—
1512C23—3162no—
1513C23—3162no—
1514C23—791no—
1515C23—6321no—
1516C23—1581no—
1517C23C2×D4×D7911yescharacteristic
1518C23C2×D4×D7911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—3161no—
1522Q8—6321no—
1523Q8—6321no—
1524Q8—6321no—
1525Q8—6321no—
1526Q8—6321no—
1527Q8—1581no—
1528Q8—1581no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—41no—
1535D4—42no—
1536D4—42no—
1537D4—81no—
1538D4—81no—
1539D4—81no—
1540D4—3162no—
1541D4—3162no—
1542D4—3161no—
1543D4—3161no—
1544D4—6321no—
1545D4—6321no—
1546D4—6321no—
1547D4—6321no—
1548D4—6321no—
1549D4—1581no—
1550D4—1581no—
1551D4#1457920812yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—42no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—3161no—
1566C2×C4—3161no—
1567C2×C4—3162no—
1568C2×C4—791no—
1569C2×C4—791no—
1570C2×C4—791no—
1571C2×C4—791no—
1572C2×C4—791no—
1573C2×C4—791no—
1574C2×C4—791no—
1575C2×C4—6321no—
1576C2×C4—6321no—
1577C2×C4—6321no—
1578C2×C4—6321no—
1579C2×C4—6321no—
1580C2×C4—6321no—
1581C2×C4—6321no—
1582C2×C4—6321no—
1583C2×C4—6321no—
1584C2×C4—6321no—
1585C2×C4—6321no—
1586C2×C4—1581no—
1587C2×C4—1581no—
1588C2×C4—1581no—
1589C2×C4—1581no—
1590C2×C4—1581no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4—1581no—
1594C2×C4—1581no—
1595C2×C4C2×D4×D7911yescharacteristic
1596C2×C4C2×D4×D7911yescharacteristic
1597C2×C4C2×D4×D7911yescharacteristic
1598C2×C4C2×D4×D7911yescharacteristic
1599C2×C4C24×D7911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1581no—
1605C8—1581no—
1606C8—1581no—
1607C8—1581no—
1608C22—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—162no—
1624C22—3161no—
1625C22—3161no—
1626C22—3161no—
1627C22—6324no—
1628C22—1581no—
1629C22—1581no—
1630C22—1581no—
1631C22C22×D4×D7911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—1581no—
1649C4—1581no—
1650C4—1581no—
1651C4—1581no—
1652C4—1581no—
1653C4—1581no—
1654C4—1581no—
1655C4C2×#1457920811yescharacteristic
1656C4#1909939811yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—81no—
1662C2—3161no—
1663C2—6321no—
1664C2#2377707111yescharacteristic
1665C2#2377817311yescharacteristic
1666C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3322C2
socleC22×C79C23×D4
hypercenter#3322D79
hypocenterC79#62175
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #23778035C2semidirect
2. #23777329C2semidirect
3. #23776356C2semidirect
4. #23776270C2semidirect
5. #23776174C2semidirect
6. #23776055C2semidirect
7. #23775990C2semidirect
8. #23775962C2semidirect
9. #23775955C2semidirect
10. #23775928C2semidirect
11. #23775844C2semidirect
12. #23775796C2semidirect
13. #23775627C2semidirect
14. #23775617C2semidirect
15. #23775560C2semidirect
16. #23775545C2semidirect
17. #23775235C2semidirect
18. #23774857C2semidirect
19. #23774812C2semidirect
20. #23774798C2semidirect
21. #23774704C2semidirect
22. #23774649C2semidirect
23. #23774574C2semidirect
24. #23773678C2semidirect
25. #23773577C2semidirect
26. #23773445C2semidirect
27. #23773255C2semidirect
28. #23773233C2semidirect
29. #23773195C2semidirect
30. #23772544C2semidirect
31. C79×#3322C2semidirect
35. #19099290C22semidirect
38. #19099277C22semidirect
40. #19099272C22semidirect
44. #19099253C22semidirect
46. #19099248C22semidirect
54. #19099194C22semidirect
55. #19099191C22semidirect
59. #19099180C22semidirect
60. #19099180C22semidirect
66. #19099119C22semidirect
68. #19099095C22semidirect
75. #19098971C22semidirect
76. #19098971C22semidirect
77. #19098965C22semidirect
78. #19098964C22semidirect
79. #19098962C22semidirect
80. #19098960C22semidirect
82. #19098924C22semidirect
83. #19098919C22semidirect
84. #19098917C22semidirect
86. #19098905C22semidirect
87. #19098903C22semidirect
88. #19098902C22semidirect
89. #19098900C22semidirect
90. #19098894C22semidirect
91. #19098891C22semidirect
92. #19098888C22semidirect
96. #19098884C22semidirect
97. #19098884C22semidirect
99. #19098881C22semidirect
100. #19098880C22semidirect
101. #19098879C22semidirect
102. #19098873C22semidirect
103. #19098871C22semidirect
104. #19098868C22semidirect
105. #19098868C22semidirect
106. #19098866C22semidirect
109. #19098865C22semidirect
110. #19098864C22semidirect
112. #19098863C22semidirect
114. #19098861C22semidirect
115. #19098861C22semidirect
116. #19098860C22semidirect
117. #19098857C22semidirect
118. #19098856C22semidirect
119. #19098856C22semidirect
120. #19098852C22semidirect
122. #19098851C22semidirect
123. #19098851C22semidirect
124. #19098846C22semidirect
125. #19098842C22semidirect
129. #19098841C22semidirect
130. #19098841C22semidirect
131. #19098820C22semidirect
134. #19098809C22semidirect
136. #19098806C22semidirect
137. #19098802C22semidirect
139. #19098797C22semidirect
140. #19098790C22semidirect
141. #19098788C22semidirect
142. #19098783C22semidirect
143. #19098782C22semidirect
144. #19098780C22semidirect
145. #19098777C22semidirect
147. #19098776C22semidirect
154. #19098693C22semidirect
155. #19098687C22semidirect
158. #19098667C22semidirect
159. #19098660C22semidirect
162. C4×#11929613C22semidirect
163. SD16×Dic79C22semidirect
165. D8×Dic79C22semidirect
166. C4×#11929609C22semidirect
168. #19098639C22semidirect
170. #19098631C22semidirect
171. D4×C79⋊C8C22semidirect
172. #19098621C22semidirect
173. #19098621C22semidirect
174. #19098614C22semidirect
175. #19098605C22semidirect
176. #19098605C22semidirect
177. #19098604C22semidirect
178. #19098602C22semidirect
179. #19098599C22semidirect
180. C2×#14579094C22semidirect
181. #19098591C22semidirect
182. #19098591C22semidirect
183. #19098585C22semidirect
188. #553×C79C22semidirect
190. #488×C79C22semidirect
191. #485×C79C22semidirect
192. #480×C79C22semidirect
194. #469×C79C22semidirect
195. #468×C79C22semidirect
196. #463×C79C22semidirect
200. #436×C79C22semidirect
848. #3322D79semidirect
865. C79#62175semidirect
878. #553C2×D79semidirect
921. #488C2×D79semidirect
926. #485C2×D79semidirect
940. #480C2×D79semidirect
973. #469C2×D79semidirect
978. #468C2×D79semidirect
990. #463C2×D79semidirect
1015. #436C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780352
#237773292
#237763562
#237762702
#237761742
#237760552
#237759902
#237759622
#237759552
#237759282
#237758442
#237757962
#237756272
#237756172
#237755602
#237755452
#237752352
#237748572
#237748122
#237747982
#237747042
#237746492
#237745742
#237736782
#237735772
#237734452
#237732552
#237732332
#237731952
#237725442
C79×#33222
#6217579