Finite Group Databasebeta

← #35185493

Subgroups — #35185493

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#23778050C211yesmaximal, characteristic, complemented
2#23777341C211yesmaximal, characteristic, complemented
3#23776359C211yesmaximal, characteristic, complemented
4#23776279C211yesmaximal, characteristic, complemented
5#23776167C211yesmaximal, characteristic, complemented
6#23776055C211yesmaximal, characteristic, complemented
7#23775989C211yesmaximal, characteristic, complemented
8#23775966C211yesmaximal, characteristic, complemented
9#23775953C211yesmaximal, characteristic, complemented
10#23775933C211yesmaximal, characteristic, complemented
11#23775842C211yesmaximal, characteristic, complemented
12#23775805C211yesmaximal, characteristic, complemented
13#23775627C211yesmaximal, characteristic, complemented
14#23775616C211yesmaximal, characteristic, complemented
15#23775594C211yesmaximal, characteristic, complemented
16#23775534C211yesmaximal, characteristic, complemented
17#23775236C211yesmaximal, characteristic, complemented
18#23774858C211yesmaximal, characteristic, complemented
19#23774804C211yesmaximal, characteristic, complemented
20#23774797C211yesmaximal, characteristic, complemented
21#23774693C211yesmaximal, characteristic, complemented
22#23774659C211yesmaximal, characteristic, complemented
23#23774582C211yesmaximal, characteristic, complemented
24#23773678C211yesmaximal, characteristic, complemented
25#23773582C211yesmaximal, characteristic, complemented
26#23773442C211yesmaximal, characteristic, complemented
27#23773249C211yesmaximal, characteristic, complemented
28#23773224C211yesmaximal, characteristic, complemented
29#23773194C211yesmaximal, characteristic, complemented
30#23772542C211yesmaximal, characteristic, complemented
31C79×#3319C211yesmaximal, characteristic, complemented
32#19099313—21no—
33#19099308—21no—
34#19099295C2211yescharacteristic
35#19099288C2211yescharacteristic, complemented
36#19099282—21no—
37#19099281C2211yescharacteristic
38#19099272C2211yescharacteristic, complemented
39#19099270C2211yescharacteristic
40#19099265—21no—
41#19099265C2211yescharacteristic
42#19099265C2211yescharacteristic, complemented
43#19099260C2211yescharacteristic
44#19099255C2211yescharacteristic
45#19099253C2211yescharacteristic, complemented
46#19099252C2211yescharacteristic, complemented
47#19099246—21no—
48#19099239—21no—
49#19099236—21no—
50#19099217C2211yescharacteristic
51#19099201C2211yescharacteristic
52#19099200—21no—
53D4×C22⋊D79C2211yescharacteristic
54#19099191C2211yescharacteristic, complemented
55#19099190C2211yescharacteristic, complemented
56#19099182—21no—
57#19099182C2211yescharacteristic
58#19099180C2211yescharacteristic, complemented
59#19099178C2211yescharacteristic, complemented
60#19099177—21no—
61#19099175—21no—
62#19099166C2211yescharacteristic
63#19099158—21no—
64#19099157—21no—
65#19099150—21no—
66#19099116C2211yescharacteristic, complemented
67#19099099C2211yescharacteristic
68#19099094C2211yescharacteristic, complemented
69#19099093C2211yescharacteristic
70#19099069—21no—
71C2×#14579145—21no—
72#19099046C2211yescharacteristic
73#19099035C2211yescharacteristic
74C2×D4×Dic79C2211yescharacteristic
75#19098972C2211yescharacteristic, complemented
76#19098970C2211yescharacteristic, complemented
77#19098964C2211yescharacteristic, complemented
78#19098964C2211yescharacteristic, complemented
79#19098963C2211yescharacteristic, complemented
80#19098959C2211yescharacteristic, complemented
81#19098926C2211yescharacteristic
82#19098919C2211yescharacteristic, complemented
83#19098919C2211yescharacteristic, complemented
84#19098917C2211yescharacteristic, complemented
85#19098908C2211yescharacteristic
86#19098907C2211yescharacteristic, complemented
87#19098903C2211yescharacteristic, complemented
88#19098901C2211yescharacteristic, complemented
89#19098899C2211yescharacteristic, complemented
90#19098894C2211yescharacteristic, complemented
91#19098892C2211yescharacteristic, complemented
92#19098888C2211yescharacteristic
93#19098887C2211yescharacteristic
94#19098887C2211yescharacteristic, complemented
95#19098885C2211yescharacteristic
96#19098885C2211yescharacteristic, complemented
97#19098880C2211yescharacteristic
98#19098879C2211yescharacteristic, complemented
99#19098879C2211yescharacteristic, complemented
100#19098879C2211yescharacteristic, complemented
101#19098877C2211yescharacteristic, complemented
102#19098872C2211yescharacteristic, complemented
103#19098872C2211yescharacteristic, complemented
104#19098869C2211yescharacteristic, complemented
105#19098869C2211yescharacteristic, complemented
106#19098866C2211yescharacteristic, complemented
107#19098865C2211yescharacteristic
108#19098865C2211yescharacteristic, complemented
109#19098865C2211yescharacteristic, complemented
110#19098864C2211yescharacteristic, complemented
111#19098863C2211yescharacteristic
112#19098861C2211yescharacteristic
113#19098861C2211yescharacteristic
114#19098861C2211yescharacteristic
115#19098861C2211yescharacteristic, complemented
116#19098861C2211yescharacteristic, complemented
117#19098861C2211yescharacteristic, complemented
118#19098859C2211yescharacteristic, complemented
119#19098856C2211yescharacteristic, complemented
120#19098856C2211yescharacteristic, complemented
121#19098852C2211yescharacteristic, complemented
122#19098851C2211yescharacteristic
123#19098851C2211yescharacteristic, complemented
124#19098850C2211yescharacteristic, complemented
125#19098846C2211yescharacteristic, complemented
126#19098843C2211yescharacteristic, complemented
127#19098842C2211yescharacteristic, complemented
128#19098841C2211yescharacteristic
129#19098841C2211yescharacteristic
130#19098841C2211yescharacteristic, complemented
131#19098819C2211yescharacteristic, complemented
132#19098814C2211yescharacteristic
133#19098814C2211yescharacteristic, complemented
134#19098809C2211yescharacteristic
135#19098808C2211yescharacteristic
136#19098807C2211yescharacteristic, complemented
137#19098806C2211yescharacteristic, complemented
138#19098803C2211yescharacteristic, complemented
139#19098796C2211yescharacteristic
140#19098792C2211yescharacteristic, 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#19098691C2211yescharacteristic, complemented
155#19098687C2211yescharacteristic, complemented
156#19098675C2211yescharacteristic
157#19098667C2211yescharacteristic, complemented
158#19098665C2211yescharacteristic, complemented
159#19098654C2211yescharacteristic
160#19098654C2211yescharacteristic
161#19098654C2211yescharacteristic, complemented
162SD16×Dic79C2211yescharacteristic, complemented
163C4×#11929612C2211yescharacteristic
164D8×Dic79C2211yescharacteristic
165D8×Dic79C2211yescharacteristic, complemented
166C4×#11929609C2211yescharacteristic, complemented
167#19098641C2211yescharacteristic, complemented
168#19098639C2211yescharacteristic
169#19098638C2211yescharacteristic, complemented
170#19098637C2211yescharacteristic
171C8×C22⋊D79C2211yescharacteristic, complemented
172#19098625C2211yescharacteristic, complemented
173#19098621C2211yescharacteristic, complemented
174#19098613C2211yescharacteristic, complemented
175#19098606C2211yescharacteristic, complemented
176#19098606C2211yescharacteristic, complemented
177#19098605C2211yescharacteristic, complemented
178#19098604C2211yescharacteristic, complemented
179#19098600C2211yescharacteristic, complemented
180C2×#14579095C2211yescharacteristic, complemented
181#19098589C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183#19098586C2211yescharacteristic, complemented
184#19098568C2211yescharacteristic
185#19098566C2211yescharacteristic
186#19098564C2211yescharacteristic
187#102×D79C2211yescharacteristic
188#555×C79C2211yescharacteristic, complemented
189#546×C79C2211yescharacteristic
190#489×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#482×C79C2211yescharacteristic, complemented
193#474×C79C2211yescharacteristic
194#468×C79C2211yescharacteristic, complemented
195#466×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#449×C79C2211yescharacteristic
198#447×C79C2211yescharacteristic
199#442×C79C2211yescharacteristic
200#435×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic
202#416×C79C2211yescharacteristic
203C2×#11929623—21no—
204C22×C22⋊D79—21no—
205C2×D4×D79C2311yescharacteristic
206C23×Dic79—21no—
207C2×#11929614C2311yescharacteristic
208C2×#11929613C2311yescharacteristic
209C2×#11929612C2311yescharacteristic
210C2×#11929612C2311yescharacteristic
211C2×#11929609C2311yescharacteristic
212C2×#11929608C2311yescharacteristic
213C2×#11929608C2311yescharacteristic
214C2×#11929607C2311yescharacteristic
215C2×C8×D79C2311yescharacteristic
216#14579161—21no—
217#14579161C2311yescharacteristic
218#14579160C2311yescharacteristic
219#14579160C2311yescharacteristic
220#14579160C2311yescharacteristic
221#14579159—21no—
222#14579159—21no—
223#14579157C2311yescharacteristic
224#14579156—21no—
225#14579156—21no—
226#14579156D411yescharacteristic
227#14579155—21no—
228#14579154—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#14579154—21no—
238#14579154D411yescharacteristic
239#14579153—21no—
240#14579153—21no—
241#14579153C2311yescharacteristic
242#14579152—21no—
243#14579152C2311yescharacteristic
244#14579152C2311yescharacteristic
245#14579152C2311yescharacteristic
246#14579152C2311yescharacteristic
247#14579152C2311yescharacteristic
248#14579152C2311yescharacteristic
249#14579151—21no—
250#14579151—21no—
251#14579151—21no—
252#14579151—21no—
253#14579151D411yescharacteristic
254#14579150C2311yescharacteristic
255#14579148—21no—
256#14579148C2311yescharacteristic
257#14579147—21no—
258#14579147—21no—
259#14579147—21no—
260#14579147—21no—
261#14579147D411yescharacteristic
262#14579145—21no—
263#14579145—21no—
264#14579145—21no—
265#14579145—21no—
266#14579145—21no—
267#14579145—21no—
268#14579145—21no—
269#14579145—21no—
270#14579145—21no—
271#14579145D411yescharacteristic
272#14579144—21no—
273#14579144—21no—
274#14579143—21no—
275#14579143—21no—
276#14579143—21no—
277#14579142—21no—
278#14579142—21no—
279#14579142—21no—
280#14579142—21no—
281#14579142D411yescharacteristic
282#14579141—21no—
283#14579141C2311yescharacteristic
284#14579140—21no—
285#14579140—21no—
286#14579140—21no—
287#14579140C2311yescharacteristic
288#14579140C2311yescharacteristic
289#14579139—21no—
290#14579138—21no—
291#14579138—21no—
292#14579138—21no—
293#14579138—21no—
294#14579138—21no—
295#14579138—21no—
296#14579138—21no—
297#14579138—21no—
298#14579138—21no—
299#14579138—21no—
300#14579138D411yescharacteristic
301#14579137—21no—
302#14579137C2311yescharacteristic
303#14579135C2311yescharacteristic
304#14579135C2311yescharacteristic
305#14579133—21no—
306#14579133—21no—
307#14579133—21no—
308#14579133—21no—
309#14579133—21no—
310#14579133D411yescharacteristic
311#14579132—21no—
312#14579132—21no—
313#14579132C2311yescharacteristic
314#14579132C2311yescharacteristic
315#14579130—21no—
316#14579129—21no—
317#14579129—21no—
318Q8×Dic79—21no—
319Q8×Dic79C2311yescharacteristic
320Q8×Dic79C2311yescharacteristic
321C4×Dic158—21no—
322C4×Dic158—21no—
323C4×Dic158—21no—
324C4×Dic158C2311yescharacteristic
325C4×Dic158C2311yescharacteristic
326#14579126C2311yescharacteristic
327#14579126C2311yescharacteristic
328C4×D316C2311yescharacteristic
329D4×Dic79—21no—
330D4×Dic79—21no—
331D4×Dic79—21no—
332D4×Dic79—21no—
333D4×Dic79—21no—
334D4×Dic79—21no—
335D4×Dic79—21no—
336D4×Dic79C2311yescharacteristic
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic
339D4×Dic79C2311yescharacteristic
340D4×Dic79C2311yescharacteristic
341D4×Dic79C2311yescharacteristic
342D4×Dic79C2311yescharacteristic
343#14579123C2311yescharacteristic
344C4×C22⋊D79—21no—
345C4×C22⋊D79C2311yescharacteristic
346C4×C22⋊D79C2311yescharacteristic
347(C22⋊D79)⋊C4—21no—
348(C22⋊D79)⋊C4—21no—
349(C22⋊D79)⋊C4—21no—
350(C22⋊D79)⋊C4—21no—
351#14579120—21no—
352#14579120C2311yescharacteristic
353#14579120C2311yescharacteristic
354#14579119—21no—
355#14579119C2311yescharacteristic
356#14579119C2311yescharacteristic
357#14579118—21no—
358#14579118C2311yescharacteristic
359#14579117—21no—
360#14579117—21no—
361#14579117—21no—
362C2×C4⋊Dic79—21no—
363C2×C4⋊Dic79—21no—
364C2×C4⋊Dic79C2311yescharacteristic
365C2×C4⋊Dic79C2311yescharacteristic
366C2×C4⋊Dic79C2311yescharacteristic
367C2×Dic79⋊C4—21no—
368C4⋊C4×D79C2311yescharacteristic
369C2×C22⋊Dic79—21no—
370C2×(C2×D79)⋊C4—21no—
371C2×(C2×D79)⋊C4—21no—
372C22⋊C4×D79—21no—
373C2×C4×Dic79C2311yescharacteristic
374#14579095C2311yescharacteristic
375#14579095C2311yescharacteristic
376#14579095C2311yescharacteristic
377#14579095C2311yescharacteristic
378#14579095C2311yescharacteristic
379#14579095C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579093C2311yescharacteristic
385#14579093C2311yescharacteristic
386#14579093C2311yescharacteristic
387#14579092C2311yescharacteristic
388#14579092C2311yescharacteristic
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
431C4×C79⋊C8C2311yescharacteristic
432C8×Dic79C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C2×#41×C79C2311yescharacteristic
436C22×D4×C79C2311yescharacteristic
437C2×SD16×C79C2311yescharacteristic
438C2×D8×C79C2311yescharacteristic
439C2×D8×C79C2311yescharacteristic
440C2×M16×C79C2311yescharacteristic
441C22×C8×C79C2311yescharacteristic
442C4⋊Q8×C79C2311yescharacteristic
443#124×C79—21no—
444#124×C79—21no—
445#124×C79C2311yescharacteristic
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×C79C2311yescharacteristic
455C4×D4×C79C2311yescharacteristic
456C4×D4×C79C2311yescharacteristic
457#117×C79—21no—
458#117×C79C2311yescharacteristic
459#117×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
477#97×C79C2311yescharacteristic
478C23×D79—21no—
479#11929623—82no—
480C2×Dic158—21no—
481C2×Dic158—21no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158C2×D411yescharacteristic
485C2×Dic158C2411yescharacteristic
486C2×D316C2411yescharacteristic
487C2×C22⋊D79—21no—
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—82no—
495C2×C22⋊D79C2×D411yescharacteristic
496C2×C22⋊D79C2×D411yescharacteristic
497D4×D79—22no—
498D4×D79—41no—
499C22×Dic79—21no—
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—
509C22×Dic79—82no—
510C22×Dic79C2×D411yescharacteristic
511C22×Dic79C2×D411yescharacteristic
512C2×C4×D79—21no—
513C2×C4×D79—21no—
514C2×C4×D79—21no—
515C2×C4×D79C2411yescharacteristic
516#11929614—41no—
517#11929613—41no—
518#11929612—22no—
519#11929612—41no—
520#11929609—41no—
521#11929608—41no—
522#11929608—41no—
523#11929607—41no—
524C2×C79⋊C8C2411yescharacteristic
525C2×C79⋊C8C2411yescharacteristic
526C2×C79⋊C8C2411yescharacteristic
527C2×C79⋊C8C2411yescharacteristic
528C8×D79—41no—
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⋊Dic79—21no—
539C4⋊Dic79—21no—
540C4⋊Dic79—21no—
541C4⋊Dic79—21no—
542C4⋊Dic79C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
570Dic79⋊C4C2×D411yescharacteristic
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⋊Dic79—21no—
584C22⋊Dic79—21no—
585C22⋊Dic79—21no—
586C22⋊Dic79—21no—
587C22⋊Dic79—21no—
588C22⋊Dic79—21no—
589C22⋊Dic79C2×D411yescharacteristic
590C22⋊Dic79C2×D411yescharacteristic
591C22⋊Dic79C2×D411yescharacteristic
592C22⋊Dic79C2×D411yescharacteristic
593(C2×D79)⋊C4—21no—
594(C2×D79)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4—21no—
601(C2×D79)⋊C4—21no—
602(C2×D79)⋊C4—21no—
603(C2×D79)⋊C4C2×D411yescharacteristic
604(C2×D79)⋊C4C2×D411yescharacteristic
605(C2×D79)⋊C4C2×D411yescharacteristic
606(C2×D79)⋊C4C2×D411yescharacteristic
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×C79—21no—
624C2×Q8×C79C2411yescharacteristic
625C2×D4×C79—22no—
626C2×D4×C79—21no—
627C2×D4×C79—21no—
628C2×D4×C79—21no—
629C2×D4×C79—21no—
630C2×D4×C79—21no—
631C2×D4×C79—41no—
632C2×D4×C79C2×D411yescharacteristic
633C2×D4×C79C2411yescharacteristic
634C2×D4×C79C2411yescharacteristic
635C2×D4×C79C2411yescharacteristic
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—
645C2×C8×C79—41no—
646C2×C8×C79C2411yescharacteristic
647C2×C8×C79C2411yescharacteristic
648C2×C8×C79C2411yescharacteristic
649C2×C8×C79C2411yescharacteristic
650C4⋊C4×C79—21no—
651C4⋊C4×C79—21no—
652C4⋊C4×C79C2×D411yescharacteristic
653C4⋊C4×C79C2411yescharacteristic
654C4⋊C4×C79C2411yescharacteristic
655C4⋊C4×C79C2411yescharacteristic
656C4⋊C4×C79C2411yescharacteristic
657C22⋊C4×C79—21no—
658C22⋊C4×C79—21no—
659C22⋊C4×C79—21no—
660C22⋊C4×C79—21no—
661C22⋊C4×C79—21no—
662C22⋊C4×C79—21no—
663C22⋊C4×C79—21no—
664C22⋊C4×C79—21no—
665C22⋊C4×C79—21no—
666C22⋊C4×C79—21no—
667C22⋊C4×C79C2×D411yescharacteristic
668C22⋊C4×C79C2×D411yescharacteristic
669C42×C79—21no—
670C42×C79—21no—
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—21no—
675C23×C79—42no—
676C23×C79—42no—
677C23×C79—81no—
678C23×C79C22×D411yescharacteristic
679C23×C79C22×D411yescharacteristic
680C22×D79—21no—
681C22×D79—42no—
682C22×D79—81no—
683C22×D79—81no—
684C22×D79C22×D411yescharacteristic
685Q8×C79—21no—
686Q8×C79—21no—
687Q8×C79—81no—
688D4×C79—21no—
689D4×C79—21no—
690D4×C79—21no—
691D4×C79—21no—
692D4×C79—21no—
693D4×C79—41no—
694D4×C79—42no—
695D4×C79—42no—
696D4×C79—81no—
697D4×C79—81no—
698D4×C79—81no—
699D4×C792−1+412yes—
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—21no—
709C2×C4×C79—42no—
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—41no—
734C2×Dic79—41no—
735C2×Dic79—42no—
736C2×Dic79—81no—
737C2×Dic79—81no—
738C2×Dic79—81no—
739C2×Dic79—81no—
740C2×Dic79—81no—
741C2×Dic79—81no—
742C2×Dic79—81no—
743C2×Dic79—81no—
744C2×Dic79—81no—
745C2×Dic79C22×D411yescharacteristic
746C2×Dic79C22×D411yescharacteristic
747C2×Dic79C22×D411yescharacteristic
748C2×Dic79C22×D411yescharacteristic
749C2×Dic79C22×D411yescharacteristic
750C2×Dic79C22×D411yescharacteristic
751C2×Dic79C22×D411yescharacteristic
752D316—21no—
753D316—21no—
754C4×D79—21no—
755C4×D79—21no—
756C4×D79—81no—
757C4×D79—81no—
758C4×D79—81no—
759Dic158—21no—
760Dic158—21no—
761Dic158—41no—
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—84no—
790C22×C79C23×D411yescharacteristic
791C2×D79—21no—
792C2×D79—21no—
793C2×D79—21no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—41no—
797C2×D79—162no—
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#3322—791no—
849#3319D7911yescharacteristic, complemented
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#555C2×D7911yescharacteristic, complemented
873#554—791no—
874#554—791no—
875#553—791no—
876#553—791no—
877#553—791no—
878#553—1581no—
879#552—791no—
880#552—791no—
881#552—791no—
882#552—1581no—
883#551—1581no—
884#551—1581no—
885#547—791no—
886#546—791no—
887#546—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#489C2×D7911yescharacteristic, complemented
919#488—791no—
920#488—791no—
921#488—791no—
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#482C2×D7911yescharacteristic, complemented
936#481—791no—
937#481—791no—
938#481—791no—
939#481—791no—
940#480—791no—
941#479—791no—
942#479—791no—
943#479—791no—
944#479—791no—
945#478—791no—
946#478—791no—
947#478—791no—
948#478—791no—
949#478—791no—
950#478—791no—
951#478—791no—
952#478—791no—
953#478—791no—
954#478—791no—
955#478—791no—
956#478—791no—
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#474C2×D7911yescharacteristic
971#470—791no—
972#469—791no—
973#469—791no—
974#468—791no—
975#468—791no—
976#468—791no—
977#468—791no—
978#468C2×D7911yescharacteristic, complemented
979#467—791no—
980#466—791no—
981#466C2×D7911yescharacteristic, complemented
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#442C2×D7911yescharacteristic
1003#441—791no—
1004#440—791no—
1005C4×SD16—791no—
1006C4×SD16—791no—
1007C4×SD16—791no—
1008C4×SD16—791no—
1009C4×SD16—791no—
1010C4×D8—791no—
1011C4×D8—791no—
1012C4×D8—791no—
1013#436—791no—
1014#436—791no—
1015#436—791no—
1016#435—791no—
1017#435C2×D7911yescharacteristic, complemented
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#417—791no—
1035#416C2×D7911yescharacteristic
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×M16—791no—
1054C2×M16C22×D7911yescharacteristic
1055C22×C8—791no—
1056C22×C8C22×D7911yescharacteristic
1057C4⋊Q8—791no—
1058C4⋊Q8—791no—
1059C4⋊Q8—791no—
1060C4⋊Q8—791no—
1061C4⋊Q8—1581no—
1062C4⋊Q8—1581no—
1063C4⋊Q8—1581no—
1064C4⋊Q8C22×D7911yescharacteristic
1065#127—791no—
1066#126—791no—
1067#126—791no—
1068#126—1581no—
1069#126—1581no—
1070#126—1581no—
1071#126—1581no—
1072#126—1581no—
1073#126—1581no—
1074#126—1581no—
1075#126—1581no—
1076#126—1581no—
1077#126—1581no—
1078#126—1581no—
1079#126—1581no—
1080#126—1581no—
1081#125—791no—
1082#125—791no—
1083#125—791no—
1084#125—791no—
1085#125—791no—
1086#125—791no—
1087#125—791no—
1088#125—791no—
1089#125—1581no—
1090#125—1581no—
1091#125—1581no—
1092#125—1581no—
1093#125—1581no—
1094#125—1581no—
1095#125—1581no—
1096#124—21no—
1097#124—21no—
1098#124—791no—
1099#124—791no—
1100#124—791no—
1101#124—1581no—
1102#124—1581no—
1103#124—1581no—
1104#124—1581no—
1105#124—1581no—
1106#124C22×D7911yescharacteristic
1107#123—21no—
1108#123—791no—
1109#123—791no—
1110#123—1581no—
1111#123—1581no—
1112#123—1581no—
1113#123—1581no—
1114#123—1581no—
1115#123—1581no—
1116#123—1581no—
1117#123—1581no—
1118#123—1581no—
1119#123—1581no—
1120#123—1581no—
1121#123—1581no—
1122#123—1581no—
1123#123—1581no—
1124#123—1581no—
1125#123—1581no—
1126#123—1581no—
1127#123—1581no—
1128C22⋊Q8—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—791no—
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—1581no—
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—21no—
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#117C22×D7911yescharacteristic
1220#117C22×D7911yescharacteristic
1221C2×C4⋊C4—791no—
1222C2×C4⋊C4—791no—
1223C2×C4⋊C4—791no—
1224C2×C4⋊C4—791no—
1225C2×C4⋊C4—1581no—
1226C2×C4⋊C4—1581no—
1227C2×C4⋊C4—1581no—
1228C2×C22⋊C4—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#97C22×D7911yescharacteristic
1308C4×C8—791no—
1309C4×C8—791no—
1310C4×C8—791no—
1311C4×C8—791no—
1312C24—21no—
1313C24—1581no—
1314#41—22no—
1315#41—41no—
1316#41—6322no—
1317C2×Q8—21no—
1318C2×Q8—791no—
1319C2×Q8—791no—
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—791no—
1353C22×C4—791no—
1354C22×C4—791no—
1355C22×C4—6322no—
1356C22×C4—1581no—
1357C22×C4—1581no—
1358C22×C4—1581no—
1359C22×C4—1581no—
1360C22×C4—1581no—
1361C22×C4—1581no—
1362C22×C4—1581no—
1363C22×C4—1581no—
1364C22×C4—1581no—
1365C22×C4—1581no—
1366C22×C4—1581no—
1367C22×C4—1581no—
1368C22×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—3161no—
1381M16—3161no—
1382M16—3161no—
1383C2×C8—41no—
1384C2×C8—3161no—
1385C2×C8—791no—
1386C2×C8—791no—
1387C2×C8—791no—
1388C2×C8—791no—
1389C2×C8C23×D7911yescharacteristic
1390C2×C8C23×D7911yescharacteristic
1391C2×C8C23×D7911yescharacteristic
1392C2×C8C23×D7911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—791no—
1396C4⋊C4—791no—
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—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⋊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—21no—
1456C22⋊C4—791no—
1457C22⋊C4—791no—
1458C22⋊C4—791no—
1459C22⋊C4—791no—
1460C22⋊C4—791no—
1461C22⋊C4—791no—
1462C22⋊C4—791no—
1463C22⋊C4—791no—
1464C22⋊C4—1581no—
1465C22⋊C4—1581no—
1466C22⋊C4—1581no—
1467C22⋊C4—1581no—
1468C22⋊C4—1581no—
1469C22⋊C4—1581no—
1470C22⋊C4—1581no—
1471C22⋊C4—1581no—
1472C22⋊C4—1581no—
1473C22⋊C4—1581no—
1474C22⋊C4—1581no—
1475C22⋊C4—1581no—
1476C22⋊C4—1581no—
1477C22⋊C4—1581no—
1478C22⋊C4—1581no—
1479C22⋊C4—1581no—
1480C22⋊C4—1581no—
1481C22⋊C4—1581no—
1482C22⋊C4—1581no—
1483C22⋊C4—1581no—
1484C22⋊C4—1581no—
1485C22⋊C4—1581no—
1486C22⋊C4—1581no—
1487C22⋊C4—1581no—
1488C22⋊C4D4×D7911yescharacteristic
1489C22⋊C4D4×D7911yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—791no—
1493C42—791no—
1494C42—791no—
1495C42—791no—
1496C42—791no—
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—42no—
1511C23—81no—
1512C23—3162no—
1513C23—791no—
1514C23—6321no—
1515C23—6321no—
1516C23—1581no—
1517C23C2×D4×D7911yescharacteristic
1518C23C2×D4×D7911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—3161no—
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—3162no—
1565C2×C4—3161no—
1566C2×C4—3161no—
1567C2×C4—791no—
1568C2×C4—791no—
1569C2×C4—791no—
1570C2×C4—791no—
1571C2×C4—791no—
1572C2×C4—791no—
1573C2×C4—791no—
1574C2×C4—6321no—
1575C2×C4—6321no—
1576C2×C4—6321no—
1577C2×C4—6321no—
1578C2×C4—6321no—
1579C2×C4—6321no—
1580C2×C4—6321no—
1581C2×C4—6321no—
1582C2×C4—6321no—
1583C2×C4—6321no—
1584C2×C4—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—84no—
1624C22—3161no—
1625C22—3161no—
1626C22—3161no—
1627C22—1581no—
1628C22—1581no—
1629C22—1581no—
1630C22—12642no—
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#2377816811yescharacteristic
1666C2#2377817711yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3319C2
socleC22×C79C23×D4
hypercenter#3319D79
hypocenterC79#62175
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #23778050C2semidirect
2. #23777341C2semidirect
3. #23776359C2semidirect
4. #23776279C2semidirect
5. #23776167C2semidirect
6. #23776055C2semidirect
7. #23775989C2semidirect
8. #23775966C2semidirect
9. #23775953C2semidirect
10. #23775933C2semidirect
11. #23775842C2semidirect
12. #23775805C2semidirect
13. #23775627C2semidirect
14. #23775616C2semidirect
15. #23775594C2semidirect
16. #23775534C2semidirect
17. #23775236C2semidirect
18. #23774858C2semidirect
19. #23774804C2semidirect
20. #23774797C2semidirect
21. #23774693C2semidirect
22. #23774659C2semidirect
23. #23774582C2semidirect
24. #23773678C2semidirect
25. #23773582C2semidirect
26. #23773442C2semidirect
27. #23773249C2semidirect
28. #23773224C2semidirect
29. #23773194C2semidirect
30. #23772542C2semidirect
31. C79×#3319C2semidirect
35. #19099288C22semidirect
38. #19099272C22semidirect
42. #19099265C22semidirect
45. #19099253C22semidirect
46. #19099252C22semidirect
54. #19099191C22semidirect
55. #19099190C22semidirect
58. #19099180C22semidirect
59. #19099178C22semidirect
66. #19099116C22semidirect
68. #19099094C22semidirect
75. #19098972C22semidirect
76. #19098970C22semidirect
77. #19098964C22semidirect
78. #19098964C22semidirect
79. #19098963C22semidirect
80. #19098959C22semidirect
82. #19098919C22semidirect
83. #19098919C22semidirect
84. #19098917C22semidirect
86. #19098907C22semidirect
87. #19098903C22semidirect
88. #19098901C22semidirect
89. #19098899C22semidirect
90. #19098894C22semidirect
91. #19098892C22semidirect
94. #19098887C22semidirect
96. #19098885C22semidirect
98. #19098879C22semidirect
99. #19098879C22semidirect
100. #19098879C22semidirect
101. #19098877C22semidirect
102. #19098872C22semidirect
103. #19098872C22semidirect
104. #19098869C22semidirect
105. #19098869C22semidirect
106. #19098866C22semidirect
108. #19098865C22semidirect
109. #19098865C22semidirect
110. #19098864C22semidirect
115. #19098861C22semidirect
116. #19098861C22semidirect
117. #19098861C22semidirect
118. #19098859C22semidirect
119. #19098856C22semidirect
120. #19098856C22semidirect
121. #19098852C22semidirect
123. #19098851C22semidirect
124. #19098850C22semidirect
125. #19098846C22semidirect
126. #19098843C22semidirect
127. #19098842C22semidirect
130. #19098841C22semidirect
131. #19098819C22semidirect
133. #19098814C22semidirect
136. #19098807C22semidirect
137. #19098806C22semidirect
138. #19098803C22semidirect
140. #19098792C22semidirect
141. #19098788C22semidirect
142. #19098783C22semidirect
143. #19098782C22semidirect
144. #19098780C22semidirect
145. #19098777C22semidirect
147. #19098776C22semidirect
154. #19098691C22semidirect
155. #19098687C22semidirect
157. #19098667C22semidirect
158. #19098665C22semidirect
161. #19098654C22semidirect
162. SD16×Dic79C22semidirect
165. D8×Dic79C22semidirect
166. C4×#11929609C22semidirect
167. #19098641C22semidirect
169. #19098638C22semidirect
171. C8×C22⋊D79C22semidirect
172. #19098625C22semidirect
173. #19098621C22semidirect
174. #19098613C22semidirect
175. #19098606C22semidirect
176. #19098606C22semidirect
177. #19098605C22semidirect
178. #19098604C22semidirect
179. #19098600C22semidirect
180. C2×#14579095C22semidirect
181. #19098589C22semidirect
182. #19098588C22semidirect
183. #19098586C22semidirect
188. #555×C79C22semidirect
190. #489×C79C22semidirect
191. #485×C79C22semidirect
192. #482×C79C22semidirect
194. #468×C79C22semidirect
195. #466×C79C22semidirect
196. #463×C79C22semidirect
200. #435×C79C22semidirect
849. #3319D79semidirect
865. C79#62175semidirect
872. #555C2×D79semidirect
918. #489C2×D79semidirect
926. #485C2×D79semidirect
935. #482C2×D79semidirect
978. #468C2×D79semidirect
981. #466C2×D79semidirect
990. #463C2×D79semidirect
1017. #435C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780502
#237773412
#237763592
#237762792
#237761672
#237760552
#237759892
#237759662
#237759532
#237759332
#237758422
#237758052
#237756272
#237756162
#237755942
#237755342
#237752362
#237748582
#237748042
#237747972
#237746932
#237746592
#237745822
#237736782
#237735822
#237734422
#237732492
#237732242
#237731942
#237725422
C79×#33192
#6217579