Finite Group Databasebeta

← #35185498

Subgroups — #35185498

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#23778051C211yesmaximal, characteristic, complemented
2#23777338C211yesmaximal, characteristic, complemented
3#23776357C211yesmaximal, characteristic, complemented
4#23776278C211yesmaximal, characteristic, complemented
5#23776161C211yesmaximal, characteristic, complemented
6#23776064C211yesmaximal, characteristic, complemented
7#23775990C211yesmaximal, characteristic, complemented
8#23775967C211yesmaximal, characteristic, complemented
9#23775955C211yesmaximal, characteristic, complemented
10#23775937C211yesmaximal, characteristic, complemented
11#23775846C211yesmaximal, characteristic, complemented
12#23775805C211yesmaximal, characteristic, complemented
13#23775634C211yesmaximal, characteristic, complemented
14#23775611C211yesmaximal, characteristic, complemented
15#23775596C211yesmaximal, characteristic, complemented
16#23775562C211yesmaximal, characteristic, complemented
17#23775548C211yesmaximal, characteristic, complemented
18#23775230C211yesmaximal, characteristic, complemented
19#23774858C211yesmaximal, characteristic, complemented
20#23774798C211yesmaximal, characteristic, complemented
21#23774695C211yesmaximal, characteristic, complemented
22#23774647C211yesmaximal, characteristic, complemented
23#23774577C211yesmaximal, characteristic, complemented
24#23773671C211yesmaximal, characteristic, complemented
25#23773581C211yesmaximal, characteristic, complemented
26#23773446C211yesmaximal, characteristic, complemented
27#23773253C211yesmaximal, characteristic, complemented
28#23773224C211yesmaximal, characteristic, complemented
29#23773198C211yesmaximal, characteristic, complemented
30#23772547C211yesmaximal, characteristic, complemented
31C79×#3257C211yesmaximal, characteristic, complemented
32#19099314—21no—
33#19099307—21no—
34#19099299C2211yescharacteristic
35#19099289C2211yescharacteristic, complemented
36#19099286C2211yescharacteristic
37#19099282—21no—
38#19099277C2211yescharacteristic, complemented
39#19099270C2211yescharacteristic, complemented
40#19099269C2211yescharacteristic
41#19099265C2211yescharacteristic
42#19099265C2211yescharacteristic, complemented
43#19099263C2211yescharacteristic
44#19099260—21no—
45#19099255—21no—
46#19099255C2211yescharacteristic, complemented
47#19099251C2211yescharacteristic
48#19099247C2211yescharacteristic, complemented
49#19099241—21no—
50#19099236—21no—
51#19099213C2211yescharacteristic
52#19099210C2211yescharacteristic
53#19099210C2211yescharacteristic
54#19099202—21no—
55#19099198C2211yescharacteristic
56#19099191C2211yescharacteristic, complemented
57#19099190C2211yescharacteristic, complemented
58#19099182C2211yescharacteristic, complemented
59#19099181—21no—
60#19099179—21no—
61#19099178C2211yescharacteristic
62#19099170—21no—
63#19099157—21no—
64#19099156—21no—
65#19099145—21no—
66#19099118C2211yescharacteristic, complemented
67#19099095C2211yescharacteristic
68#19099092C2211yescharacteristic, complemented
69#19099091C2211yescharacteristic
70#19099073—21no—
71#123×D79—21no—
72#19099043C2211yescharacteristic
73#19099035C2211yescharacteristic
74C4×D4×D79C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098970C2211yescharacteristic, complemented
77#19098964C2211yescharacteristic, complemented
78#19098964C2211yescharacteristic, complemented
79#19098962C2211yescharacteristic, complemented
80#19098960C2211yescharacteristic, complemented
81#19098927C2211yescharacteristic
82#19098921C2211yescharacteristic, complemented
83#19098916C2211yescharacteristic, complemented
84#19098916C2211yescharacteristic, complemented
85#19098916C2211yescharacteristic, complemented
86#19098909C2211yescharacteristic
87#19098907C2211yescharacteristic, complemented
88#19098906C2211yescharacteristic, complemented
89#19098906C2211yescharacteristic, complemented
90#19098903C2211yescharacteristic, complemented
91#19098897C2211yescharacteristic, complemented
92#19098895C2211yescharacteristic, complemented
93#19098891C2211yescharacteristic, complemented
94#19098885C2211yescharacteristic
95#19098885C2211yescharacteristic
96#19098885C2211yescharacteristic
97#19098885C2211yescharacteristic, complemented
98#19098884C2211yescharacteristic, complemented
99#19098884C2211yescharacteristic, complemented
100#19098880C2211yescharacteristic
101#19098880C2211yescharacteristic, complemented
102#19098879C2211yescharacteristic, complemented
103#19098879C2211yescharacteristic, complemented
104#19098874C2211yescharacteristic, complemented
105#19098871C2211yescharacteristic, complemented
106#19098871C2211yescharacteristic, complemented
107#19098868C2211yescharacteristic, complemented
108#19098866C2211yescharacteristic
109#19098864C2211yescharacteristic
110#19098864C2211yescharacteristic
111#19098863C2211yescharacteristic, complemented
112#19098863C2211yescharacteristic, complemented
113#19098862C2211yescharacteristic
114#19098862C2211yescharacteristic
115#19098861C2211yescharacteristic, complemented
116#19098861C2211yescharacteristic, complemented
117#19098861C2211yescharacteristic, complemented
118#19098861C2211yescharacteristic, complemented
119#19098859C2211yescharacteristic, complemented
120#19098859C2211yescharacteristic, complemented
121#19098856C2211yescharacteristic, complemented
122#19098853C2211yescharacteristic, complemented
123#19098851C2211yescharacteristic, complemented
124#19098850C2211yescharacteristic
125#19098845C2211yescharacteristic, complemented
126#19098844C2211yescharacteristic
127#19098844C2211yescharacteristic
128#19098843C2211yescharacteristic, complemented
129#19098842C2211yescharacteristic
130#19098841C2211yescharacteristic, complemented
131#19098820C2211yescharacteristic, complemented
132#19098813C2211yescharacteristic
133#19098808C2211yescharacteristic, complemented
134#19098808C2211yescharacteristic, complemented
135#19098806C2211yescharacteristic
136#19098806C2211yescharacteristic
137#19098803C2211yescharacteristic, complemented
138#19098796C2211yescharacteristic
139#19098783C2211yescharacteristic, complemented
140#19098783C2211yescharacteristic, complemented
141#19098782C2211yescharacteristic, complemented
142#19098776C2211yescharacteristic, complemented
143#19098776C2211yescharacteristic, complemented
144#19098775C2211yescharacteristic
145#19098723C2211yescharacteristic
146#19098712C2211yescharacteristic
147#19098712C2211yescharacteristic
148#19098706C2211yescharacteristic
149#19098695C2211yescharacteristic
150#19098695C2211yescharacteristic
151#19098692C2211yescharacteristic, complemented
152#19098687C2211yescharacteristic, complemented
153#19098673C2211yescharacteristic
154#19098672C2211yescharacteristic
155#19098668C2211yescharacteristic, complemented
156#19098664C2211yescharacteristic, complemented
157SD16×Dic79C2211yescharacteristic, complemented
158C4×#11929611C2211yescharacteristic
159C4×#11929612C2211yescharacteristic, complemented
160#19098648C2211yescharacteristic
161#19098648C2211yescharacteristic
162D8×Dic79C2211yescharacteristic, complemented
163D8×Dic79C2211yescharacteristic, complemented
164#19098643C2211yescharacteristic
165#19098640C2211yescharacteristic
166#19098639C2211yescharacteristic, complemented
167#19098639C2211yescharacteristic, complemented
168#19098634C2211yescharacteristic, complemented
169#19098633C2211yescharacteristic
170C8×C22⋊D79C2211yescharacteristic, complemented
171#19098624C2211yescharacteristic, complemented
172#19098623C2211yescharacteristic, complemented
173#19098615C2211yescharacteristic, complemented
174#19098605C2211yescharacteristic, complemented
175#19098604C2211yescharacteristic, complemented
176#19098602C2211yescharacteristic, complemented
177#19098602C2211yescharacteristic, complemented
178#19098600C2211yescharacteristic, complemented
179C2×#14579095C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181#19098585C2211yescharacteristic, complemented
182#19098566C2211yescharacteristic
183#19098566C2211yescharacteristic
184#19098566C2211yescharacteristic
185#19098565C2211yescharacteristic
186#19098560C2211yescharacteristic
187#102×D79C2211yescharacteristic
188#542×C79C2211yescharacteristic, complemented
189#540×C79C2211yescharacteristic
190#479×C79C2211yescharacteristic, complemented
191#478×C79C2211yescharacteristic, complemented
192#476×C79C2211yescharacteristic, complemented
193#474×C79C2211yescharacteristic, complemented
194#469×C79C2211yescharacteristic, complemented
195#468×C79C2211yescharacteristic, complemented
196#466×C79C2211yescharacteristic, complemented
197#465×C79C2211yescharacteristic, complemented
198#463×C79C2211yescharacteristic, complemented
199#463×C79C2211yescharacteristic, complemented
200#460×C79C2211yescharacteristic
201#459×C79C2211yescharacteristic
202#424×C79C2211yescharacteristic, complemented
203C2×#11929624C2311yescharacteristic
204C2×#11929623—21no—
205C2×D4×D79—21no—
206C2×D4×D79C2311yescharacteristic
207C2×D4×D79C2311yescharacteristic
208C22×C4×D79—21no—
209C2×#11929614C2311yescharacteristic
210C2×#11929612C2311yescharacteristic
211C2×#11929611C2311yescharacteristic
212C2×#11929609C2311yescharacteristic
213C2×#11929607C2311yescharacteristic
214C2×#11929607C2311yescharacteristic
215C2×#11929607C2311yescharacteristic
216C2×C8×D79C2311yescharacteristic
217#14579161C2311yescharacteristic
218#14579161C2311yescharacteristic
219#14579160—21no—
220#14579160—21no—
221#14579160C2311yescharacteristic
222#14579160C2311yescharacteristic
223#14579159—21no—
224#14579156—21no—
225#14579156—21no—
226#14579156—21no—
227#14579156—21no—
228#14579156D411yescharacteristic
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#14579153—21no—
239#14579153C2311yescharacteristic
240#14579153C2311yescharacteristic
241#14579152—21no—
242#14579152—21no—
243#14579152—21no—
244#14579152—21no—
245#14579152C2311yescharacteristic
246#14579152C2311yescharacteristic
247#14579152C2311yescharacteristic
248#14579152C2311yescharacteristic
249#14579151—21no—
250#14579151—21no—
251#14579151D411yescharacteristic
252#14579149—21no—
253#14579148—21no—
254#14579148—21no—
255#14579148C2311yescharacteristic
256#14579148C2311yescharacteristic
257#14579147—21no—
258#14579147—21no—
259#14579147—21no—
260#14579147D411yescharacteristic
261#14579146—21no—
262#14579146D411yescharacteristic
263#14579145—21no—
264#14579145—21no—
265#14579145—21no—
266#14579145—21no—
267#14579144—21no—
268#14579144—21no—
269#14579143—21no—
270#14579143—21no—
271#14579143—21no—
272#14579143—21no—
273#14579143—21no—
274#14579143—21no—
275#14579143D411yescharacteristic
276#14579142—21no—
277#14579142—21no—
278#14579142—21no—
279#14579141—21no—
280#14579141—21no—
281#14579141C2311yescharacteristic
282#14579141C2311yescharacteristic
283#14579140—21no—
284#14579140—21no—
285#14579139—21no—
286#14579139—21no—
287#14579139—21no—
288#14579139D411yescharacteristic
289#14579138—21no—
290#14579138—21no—
291#14579138—21no—
292#14579138—21no—
293#14579138—21no—
294#14579138—21no—
295#14579137—21no—
296#14579137—21no—
297#14579137C2311yescharacteristic
298#14579137C2311yescharacteristic
299#14579134—21no—
300#14579134D411yescharacteristic
301#14579133—21no—
302#14579133—21no—
303#14579133—21no—
304#14579132—21no—
305#14579132—21no—
306#14579132—21no—
307#14579132C2311yescharacteristic
308#14579132C2311yescharacteristic
309#14579132C2311yescharacteristic
310#14579132C2311yescharacteristic
311#14579129—21no—
312#14579129—21no—
313#14579129—21no—
314#14579129—21no—
315Q8×Dic79—21no—
316Q8×Dic79C2311yescharacteristic
317Q8×Dic79C2311yescharacteristic
318C4×Dic158—21no—
319C4×Dic158—21no—
320C4×Dic158C2311yescharacteristic
321C4×Dic158C2311yescharacteristic
322C4×Dic158C2311yescharacteristic
323#14579126—21no—
324C4×D316C2311yescharacteristic
325C4×D316C2311yescharacteristic
326C4×D316C2311yescharacteristic
327D4×Dic79—21no—
328D4×Dic79—21no—
329D4×Dic79—21no—
330D4×Dic79C2311yescharacteristic
331D4×Dic79C2311yescharacteristic
332D4×Dic79C2311yescharacteristic
333D4×Dic79C2311yescharacteristic
334#14579123C2311yescharacteristic
335#14579123C2311yescharacteristic
336C4×C22⋊D79—21no—
337C4×C22⋊D79—21no—
338C4×C22⋊D79—21no—
339C4×C22⋊D79—21no—
340C4×C22⋊D79C2311yescharacteristic
341C4×C22⋊D79C2311yescharacteristic
342(C22⋊D79)⋊C4—21no—
343(C22⋊D79)⋊C4—21no—
344(C22⋊D79)⋊C4—21no—
345(C22⋊D79)⋊C4—21no—
346(C22⋊D79)⋊C4—21no—
347#14579120—21no—
348#14579120C2311yescharacteristic
349#14579119—21no—
350#14579119—21no—
351#14579119—21no—
352#14579119C2311yescharacteristic
353#14579119C2311yescharacteristic
354#14579119C2311yescharacteristic
355#14579119C2311yescharacteristic
356#14579118C2311yescharacteristic
357#14579117—21no—
358#14579117—21no—
359#14579117—21no—
360C2×C4⋊Dic79—21no—
361C2×C4⋊Dic79C2311yescharacteristic
362C2×C4⋊Dic79C2311yescharacteristic
363C4⋊C4×D79—21no—
364C4⋊C4×D79—21no—
365C4⋊C4×D79C2311yescharacteristic
366C4⋊C4×D79C2311yescharacteristic
367C2×(C2×D79)⋊C4—21no—
368C22⋊C4×D79—21no—
369C22⋊C4×D79—21no—
370C22⋊C4×D79—21no—
371C22⋊C4×D79—21no—
372C42×D79C2311yescharacteristic
373#14579095C2311yescharacteristic
374#14579095C2311yescharacteristic
375#14579095C2311yescharacteristic
376#14579095C2311yescharacteristic
377#14579095C2311yescharacteristic
378#14579095C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
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#14579085C2311yescharacteristic
404#14579085C2311yescharacteristic
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#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
423C22⋊(C79⋊C8)C2311yescharacteristic
424C22⋊(C79⋊C8)C2311yescharacteristic
425(C2×D79)⋊C8C2311yescharacteristic
426(C2×D79)⋊C8C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429#14579072C2311yescharacteristic
430#14579071C2311yescharacteristic
431C4×C79⋊C8C2311yescharacteristic
432C8×Dic79C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C2×SD16×C79C2311yescharacteristic
436C2×SD16×C79C2311yescharacteristic
437C2×D8×C79C2311yescharacteristic
438C2×D8×C79C2311yescharacteristic
439C2×M16×C79C2311yescharacteristic
440C22×C8×C79C2311yescharacteristic
441C4⋊Q8×C79C2311yescharacteristic
442#127×C79C2311yescharacteristic
443#126×C79—21no—
444#125×C79C2311yescharacteristic
445#124×C79—21no—
446#124×C79C2311yescharacteristic
447#123×C79—21no—
448#123×C79—21no—
449#123×C79—21no—
450C22⋊Q8×C79—21no—
451C22⋊Q8×C79C2311yescharacteristic
452#121×C79—21no—
453#121×C79—21no—
454#121×C79C2311yescharacteristic
455#121×C79C2311yescharacteristic
456#121×C79C2311yescharacteristic
457C4×Q8×C79C2311yescharacteristic
458C4×D4×C79C2311yescharacteristic
459C4×D4×C79C2311yescharacteristic
460C4×D4×C79C2311yescharacteristic
461#117×C79C2311yescharacteristic
462#107×C79C2311yescharacteristic
463#107×C79C2311yescharacteristic
464#106×C79C2311yescharacteristic
465#106×C79C2311yescharacteristic
466C4⋊C8×C79C2311yescharacteristic
467C4⋊C8×C79C2311yescharacteristic
468C4⋊C8×C79C2311yescharacteristic
469C4⋊C8×C79C2311yescharacteristic
470#103×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478C23×D79—21no—
479C23×D79—21no—
480#11929624—22no—
481#11929624—41no—
482#11929623—82no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158C2×D411yescharacteristic
488C2×Dic158C2411yescharacteristic
489C2×D316C2×D411yescharacteristic
490C2×D316C2411yescharacteristic
491C2×C22⋊D79—21no—
492C2×C22⋊D79—21no—
493C2×C22⋊D79—21no—
494C2×C22⋊D79—21no—
495C2×C22⋊D79—21no—
496C2×C22⋊D79—21no—
497C2×C22⋊D79—21no—
498C2×C22⋊D79C2×D411yescharacteristic
499C2×C22⋊D79C2×D411yescharacteristic
500D4×D79—22no—
501D4×D79—22no—
502D4×D79—41no—
503D4×D79—41no—
504D4×D79—82no—
505C22×Dic79—21no—
506C22×Dic79—21no—
507C22×Dic79—21no—
508C22×Dic79—21no—
509C22×Dic79—21no—
510C22×Dic79—21no—
511C2×C4×D79—21no—
512C2×C4×D79—21no—
513C2×C4×D79—21no—
514C2×C4×D79—21no—
515C2×C4×D79—21no—
516C2×C4×D79—21no—
517C2×C4×D79—21no—
518C2×C4×D79—82no—
519C2×C4×D79C2×D411yescharacteristic
520C2×C4×D79C2×D411yescharacteristic
521C2×C4×D79C2411yescharacteristic
522C2×C4×D79C2411yescharacteristic
523#11929614—41no—
524#11929612—41no—
525#11929611—22no—
526#11929609—22no—
527#11929607—41no—
528#11929607—41no—
529#11929607—41no—
530C2×C79⋊C8C2411yescharacteristic
531C2×C79⋊C8C2411yescharacteristic
532C2×C79⋊C8C2411yescharacteristic
533C2×C79⋊C8C2411yescharacteristic
534C8×D79—41no—
535C4⋊Dic79—21no—
536C4⋊Dic79—21no—
537C4⋊Dic79—21no—
538C4⋊Dic79—21no—
539C4⋊Dic79—21no—
540C4⋊Dic79—21no—
541C4⋊Dic79—21no—
542C4⋊Dic79—21no—
543C4⋊Dic79—21no—
544C4⋊Dic79—21no—
545C4⋊Dic79—21no—
546C4⋊Dic79—21no—
547C4⋊Dic79C2×D411yescharacteristic
548C4⋊Dic79C2×D411yescharacteristic
549C4⋊Dic79C2411yescharacteristic
550C4⋊Dic79C2411yescharacteristic
551C4⋊Dic79C2411yescharacteristic
552C4⋊Dic79C2411yescharacteristic
553C4⋊Dic79C2411yescharacteristic
554C4⋊Dic79C2411yescharacteristic
555Dic79⋊C4—21no—
556Dic79⋊C4—21no—
557Dic79⋊C4—21no—
558Dic79⋊C4—21no—
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4C2×D411yescharacteristic
572Dic79⋊C4C2×D411yescharacteristic
573Dic79⋊C4C2×D411yescharacteristic
574Dic79⋊C4C2×D411yescharacteristic
575Dic79⋊C4C2×D411yescharacteristic
576Dic79⋊C4C2×D411yescharacteristic
577C22⋊Dic79—21no—
578C22⋊Dic79—21no—
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583C22⋊Dic79—21no—
584C22⋊Dic79—21no—
585C22⋊Dic79—21no—
586C22⋊Dic79—21no—
587C22⋊Dic79—21no—
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590C22⋊Dic79C2×D411yescharacteristic
591C22⋊Dic79C2×D411yescharacteristic
592(C2×D79)⋊C4—21no—
593(C2×D79)⋊C4—21no—
594(C2×D79)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4—21no—
601(C2×D79)⋊C4—21no—
602(C2×D79)⋊C4—21no—
603(C2×D79)⋊C4—21no—
604(C2×D79)⋊C4C2×D411yescharacteristic
605(C2×D79)⋊C4C2×D411yescharacteristic
606(C2×D79)⋊C4C2×D411yescharacteristic
607(C2×D79)⋊C4C2×D411yescharacteristic
608(C2×D79)⋊C4C2×D411yescharacteristic
609(C2×D79)⋊C4C2×D411yescharacteristic
610C4×Dic79—21no—
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79—21no—
614C4×Dic79—21no—
615C4×Dic79—21no—
616C4×Dic79—21no—
617C4×Dic79—21no—
618C4×Dic79—21no—
619C4×Dic79C2×D411yescharacteristic
620C4×Dic79C2×D411yescharacteristic
621C4×Dic79C2411yescharacteristic
622C4×Dic79C2411yescharacteristic
623C2×Q8×C79—21no—
624C2×Q8×C79C2411yescharacteristic
625C2×D4×C79—21no—
626C2×D4×C79—21no—
627C2×D4×C79—21no—
628C2×D4×C79—21no—
629C2×D4×C79—21no—
630C2×D4×C79C2411yescharacteristic
631C2×D4×C79C2411yescharacteristic
632C2×D4×C79C2411yescharacteristic
633C22×C4×C79—21no—
634C22×C4×C79—21no—
635C22×C4×C79—21no—
636C22×C4×C79C2411yescharacteristic
637SD16×C79—41no—
638SD16×C79—41no—
639D8×C79—41no—
640D8×C79—41no—
641M16×C79—41no—
642C2×C8×C79—41no—
643C2×C8×C79C2411yescharacteristic
644C2×C8×C79C2411yescharacteristic
645C2×C8×C79C2411yescharacteristic
646C2×C8×C79C2411yescharacteristic
647C4⋊C4×C79—21no—
648C4⋊C4×C79—21no—
649C4⋊C4×C79—21no—
650C4⋊C4×C79—21no—
651C4⋊C4×C79—21no—
652C4⋊C4×C79C2×D411yescharacteristic
653C4⋊C4×C79C2×D411yescharacteristic
654C4⋊C4×C79C2411yescharacteristic
655C4⋊C4×C79C2411yescharacteristic
656C4⋊C4×C79C2411yescharacteristic
657C4⋊C4×C79C2411yescharacteristic
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×C79C2411yescharacteristic
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—21no—
675C23×C79C22×D411yescharacteristic
676C22×D79—21no—
677C22×D79—42no—
678C22×D79—42no—
679C22×D79—42no—
680C22×D79—81no—
681C22×D79—81no—
682C22×D79—81no—
683C22×D79C22×D411yescharacteristic
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—21no—
694D4×C79—81no—
695D4×C79—81no—
696D4×C79—81no—
697D4×C79—81no—
698D4×C79—81no—
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—81no—
707C2×C4×C79—81no—
708C2×C4×C79—81no—
709C2×C4×C79C22×D411yescharacteristic
710C2×C4×C79C22×D411yescharacteristic
711C2×C4×C79C22×D411yescharacteristic
712C2×C4×C79C22×D411yescharacteristic
713C2×C4×C79C22×D411yescharacteristic
714C2×C4×C79C2511yescharacteristic
715C22⋊D79—41no—
716C22⋊D79—41no—
717C22⋊D79—42no—
718C22⋊D79—42no—
719C22⋊D79—42no—
720C22⋊D79—42no—
721C22⋊D79—81no—
722C22⋊D79—81no—
723C22⋊D79—81no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—81no—
732C2×Dic79—81no—
733C2×Dic79—81no—
734C2×Dic79—81no—
735C2×Dic79—81no—
736C2×Dic79—81no—
737C2×Dic79C22×D411yescharacteristic
738C2×Dic79C22×D411yescharacteristic
739C2×Dic79C22×D411yescharacteristic
740C2×Dic79C22×D411yescharacteristic
741C2×Dic79C22×D411yescharacteristic
742C2×Dic79C22×D411yescharacteristic
743D316—21no—
744D316—41no—
745D3162−1+412yes—
746C4×D79—21no—
747C4×D79—21no—
748C4×D79—21no—
749C4×D79—21no—
750C4×D79—41no—
751C4×D79—41no—
752C4×D79—42no—
753C4×D79—42no—
754C4×D79—81no—
755C4×D79—81no—
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—41no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—41no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79C23×D411yescharacteristic
787C2×D79—21no—
788C2×D79—21no—
789C2×D79—21no—
790C2×D79—21no—
791C2×D79—22no—
792C2×D79—21no—
793C2×D79—21no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—84no—
797C2×D79—162no—
798C4×C79—21no—
799C4×C79—21no—
800C4×C79—21no—
801C4×C79—21no—
802C4×C79—21no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79C2×2−1+411yescharacteristic
809C4×C79#58511yescharacteristic
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—41no—
825C2×C79—81no—
826C2×C79—81no—
827C2×C79—81no—
828C2×C79#348911yescharacteristic
829C2×C79#358411yescharacteristic
830C2×C79#358511yescharacteristic
831D79—41no—
832D79—41no—
833D79—42no—
834#3565—791no—
835#3513—791no—
836#3389—791no—
837#3381—791no—
838#3371—791no—
839#3361—791no—
840#3354—791no—
841#3351—791no—
842#3351—791no—
843#3349—791no—
844#3343—791no—
845#3339—791no—
846#3324—791no—
847#3323—791no—
848#3322—791no—
849#3319—791no—
850#3318—791no—
851#3296—791no—
852#3262—791no—
853#3257D7911yescharacteristic, complemented
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—791no—
878#553—1581no—
879#552—791no—
880#552—791no—
881#552—791no—
882#552—1581no—
883#551—1581no—
884#551—1581no—
885#547—791no—
886#546—791no—
887#546—791no—
888#546—1581no—
889D42—791no—
890#544—791no—
891#544—791no—
892#542—791no—
893#542—791no—
894#542—1581no—
895#542—1581no—
896#542C2×D7911yescharacteristic, complemented
897#541—1581no—
898#540C2×D7911yescharacteristic
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#488—791no—
922#486—791no—
923#485—791no—
924#485—791no—
925#485—791no—
926#485—791no—
927#484—791no—
928#483—791no—
929#483—791no—
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#482—791no—
935#482—791no—
936#481—791no—
937#481—791no—
938#481—791no—
939#481—791no—
940#480—791no—
941#479—791no—
942#479—791no—
943#479—791no—
944#479C2×D7911yescharacteristic, complemented
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, complemented
957#477—791no—
958#477—791no—
959#477—791no—
960#476—791no—
961#476—791no—
962#476—791no—
963#476C2×D7911yescharacteristic, complemented
964#475—791no—
965#474—791no—
966#474—791no—
967#474—791no—
968#474—791no—
969#474—791no—
970#474C2×D7911yescharacteristic, complemented
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#466C2×D7911yescharacteristic, complemented
982#465C2×D7911yescharacteristic, complemented
983#464—791no—
984#464—791no—
985#464—791no—
986#463—791no—
987#463—791no—
988#463—791no—
989#463C2×D7911yescharacteristic, complemented
990#463C2×D7911yescharacteristic, complemented
991#460C2×D7911yescharacteristic
992#459C2×D7911yescharacteristic
993#452—791no—
994#450—791no—
995#450—791no—
996#449—791no—
997#447—791no—
998#447—791no—
999#446—791no—
1000C8×Q8—791no—
1001#442—791no—
1002#442—791no—
1003#441—791no—
1004#440—791no—
1005C4×SD16—791no—
1006C4×SD16—791no—
1007C4×SD16—791no—
1008C4×SD16—791no—
1009C4×SD16—791no—
1010C4×D8—791no—
1011C4×D8—791no—
1012C4×D8—791no—
1013#436—791no—
1014#436—791no—
1015#436—791no—
1016#435—791no—
1017#435—791no—
1018C8×D4—791no—
1019#433—791no—
1020#433—791no—
1021#431—791no—
1022#428—791no—
1023#428—791no—
1024#428—791no—
1025#428—791no—
1026#427—791no—
1027C2×#107—791no—
1028#424—791no—
1029#424C2×D7911yescharacteristic, complemented
1030#423—791no—
1031#418—791no—
1032#418—791no—
1033#418—791no—
1034#417—791no—
1035#416—791no—
1036C2×#102—791no—
1037C2×#41—791no—
1038C2×#41—1581no—
1039C22×D4—791no—
1040C22×D4—791no—
1041C22×D4—1581no—
1042C23×C4—1581no—
1043C2×Q16—791no—
1044C2×SD16—791no—
1045C2×SD16—791no—
1046C2×SD16C22×D7911yescharacteristic
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#127C22×D7911yescharacteristic
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—21no—
1097#124—791no—
1098#124—791no—
1099#124—791no—
1100#124—1581no—
1101#124—1581no—
1102#124—1581no—
1103#124—1581no—
1104#124—1581no—
1105#124—1581no—
1106#124C22×D7911yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—791no—
1111#123—791no—
1112#123—1581no—
1113#123—1581no—
1114#123—1581no—
1115#123—1581no—
1116#123—1581no—
1117#123—1581no—
1118#123—1581no—
1119#123—1581no—
1120#123—1581no—
1121#123—1581no—
1122#123—1581no—
1123#123—1581no—
1124#123—1581no—
1125#123—1581no—
1126#123—1581no—
1127#123—1581no—
1128C22⋊Q8—21no—
1129C22⋊Q8—791no—
1130C22⋊Q8—791no—
1131C22⋊Q8—791no—
1132C22⋊Q8—791no—
1133C22⋊Q8—791no—
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—1581no—
1168#120—1581no—
1169#120—1581no—
1170#120—1581no—
1171C4×Q8—791no—
1172C4×Q8—791no—
1173C4×Q8—791no—
1174C4×Q8—791no—
1175C4×Q8—791no—
1176C4×Q8—1581no—
1177C4×Q8—1581no—
1178C4×Q8—1581no—
1179C4×Q8—1581no—
1180C4×Q8C22×D7911yescharacteristic
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—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—791no—
1225C2×C4⋊C4—1581no—
1226C2×C4⋊C4—1581no—
1227C2×C4⋊C4—1581no—
1228C2×C22⋊C4—1581no—
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#106C22×D7911yescharacteristic
1257#106C22×D7911yescharacteristic
1258C4⋊C8—791no—
1259C4⋊C8—791no—
1260C4⋊C8—791no—
1261C4⋊C8—791no—
1262C4⋊C8—791no—
1263C4⋊C8—791no—
1264C4⋊C8C22×D7911yescharacteristic
1265C4⋊C8C22×D7911yescharacteristic
1266C4⋊C8C22×D7911yescharacteristic
1267C4⋊C8C22×D7911yescharacteristic
1268#103—791no—
1269#103—791no—
1270#103—791no—
1271#103—791no—
1272#103—791no—
1273#103—791no—
1274#103—791no—
1275#103—791no—
1276#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#102—791no—
1294#102C22×D7911yescharacteristic
1295#102C22×D7911yescharacteristic
1296#102C22×D7911yescharacteristic
1297#102C22×D7911yescharacteristic
1298#102C22×D7911yescharacteristic
1299#102C22×D7911yescharacteristic
1300C22⋊C8—791no—
1301C22⋊C8—791no—
1302C22⋊C8—791no—
1303C22⋊C8—791no—
1304C22⋊C8—791no—
1305C22⋊C8—791no—
1306#97—791no—
1307#97—791no—
1308C4×C8—791no—
1309C4×C8—791no—
1310C4×C8—791no—
1311C4×C8—791no—
1312C24—1581no—
1313C24—1581no—
1314#41—3161no—
1315#41—6322no—
1316#41—1582no—
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—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—3161no—
1331C2×D4—3161no—
1332C2×D4—791no—
1333C2×D4—791no—
1334C2×D4—791no—
1335C2×D4—791no—
1336C2×D4—6322no—
1337C2×D4—1581no—
1338C2×D4—1581no—
1339C2×D4—1582no—
1340C2×D4—1582no—
1341C2×D4—1581no—
1342C2×D4—1581no—
1343C2×D4—1581no—
1344C2×D4—1581no—
1345C2×D4—1581no—
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—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×C4—1581no—
1370C22×C4C23×D7911yescharacteristic
1371Q16—3161no—
1372SD16—41no—
1373SD16—41no—
1374SD16—3161no—
1375SD16—1582no—
1376D8—41no—
1377D8—41no—
1378D8—1582no—
1379M16—41no—
1380M16—3161no—
1381M16—3161no—
1382M16—3161no—
1383C2×C8—41no—
1384C2×C8—3161no—
1385C2×C8—791no—
1386C2×C8—791no—
1387C2×C8—791no—
1388C2×C8—791no—
1389C2×C8C23×D7911yescharacteristic
1390C2×C8C23×D7911yescharacteristic
1391C2×C8C23×D7911yescharacteristic
1392C2×C8C23×D7911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—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⋊C4D4×D7911yescharacteristic
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—1581no—
1496C42—1581no—
1497C42—1581no—
1498C42—1581no—
1499C42—1581no—
1500C42—1581no—
1501C42—1581no—
1502C42—1581no—
1503C42—1581no—
1504C42C23×D7911yescharacteristic
1505C42C23×D7911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—3162no—
1510C23—3162no—
1511C23—3162no—
1512C23—791no—
1513C23—791no—
1514C23—6321no—
1515C23—6321no—
1516C23—6321no—
1517C23—1581no—
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—21no—
1535D4—81no—
1536D4—81no—
1537D4—81no—
1538D4—81no—
1539D4—81no—
1540D4—3161no—
1541D4—3162no—
1542D4—3162no—
1543D4—3161no—
1544D4—3161no—
1545D4—3162no—
1546D4—3162no—
1547D4—792no—
1548D4—6321no—
1549D4—6321no—
1550D4—6321no—
1551D4—1581no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—81no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—3162no—
1563C2×C4—3161no—
1564C2×C4—3161no—
1565C2×C4—3162no—
1566C2×C4—791no—
1567C2×C4—791no—
1568C2×C4—791no—
1569C2×C4—791no—
1570C2×C4—791no—
1571C2×C4—791no—
1572C2×C4—6321no—
1573C2×C4—6321no—
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—1581no—
1584C2×C4—1581no—
1585C2×C4—1581no—
1586C2×C4—1581no—
1587C2×C4—1581no—
1588C2×C4—1581no—
1589C2×C4—1581no—
1590C2×C4—1581no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4—1581no—
1594C2×C4C2×D4×D7911yescharacteristic
1595C2×C4C2×D4×D7911yescharacteristic
1596C2×C4C2×D4×D7911yescharacteristic
1597C2×C4C2×D4×D7911yescharacteristic
1598C2×C4C2×D4×D7911yescharacteristic
1599C2×C4C24×D7911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1581no—
1605C8—1581no—
1606C8—1581no—
1607C8—1581no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—3161no—
1621C22—3161no—
1622C22—6324no—
1623C22—1582no—
1624C22—1581no—
1625C22—1581no—
1626C22—1581no—
1627C22—1581no—
1628C22—1581no—
1629C22—1581no—
1630C22—12642no—
1631C22C22×D4×D7911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—1581no—
1650C4—1581no—
1651C4—1581no—
1652C4—1581no—
1653C4—1581no—
1654C4—1581no—
1655C42−1+4×D7911yescharacteristic
1656C4#1909939811yescharacteristic
1657C2—41no—
1658C2—81no—
1659C2—81no—
1660C2—81no—
1661C2—3162no—
1662C2—3161no—
1663C2—3161no—
1664C2#2377707511yescharacteristic
1665C2#2377816811yescharacteristic
1666C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3257C2
socleC22×C79C23×D4
hypercenter#3257D79
hypocenterC79#62175
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3257

Complements

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

NH ≅ G/Ntype
1. #23778051C2semidirect
2. #23777338C2semidirect
3. #23776357C2semidirect
4. #23776278C2semidirect
5. #23776161C2semidirect
6. #23776064C2semidirect
7. #23775990C2semidirect
8. #23775967C2semidirect
9. #23775955C2semidirect
10. #23775937C2semidirect
11. #23775846C2semidirect
12. #23775805C2semidirect
13. #23775634C2semidirect
14. #23775611C2semidirect
15. #23775596C2semidirect
16. #23775562C2semidirect
17. #23775548C2semidirect
18. #23775230C2semidirect
19. #23774858C2semidirect
20. #23774798C2semidirect
21. #23774695C2semidirect
22. #23774647C2semidirect
23. #23774577C2semidirect
24. #23773671C2semidirect
25. #23773581C2semidirect
26. #23773446C2semidirect
27. #23773253C2semidirect
28. #23773224C2semidirect
29. #23773198C2semidirect
30. #23772547C2semidirect
31. C79×#3257C2semidirect
35. #19099289C22semidirect
38. #19099277C22semidirect
39. #19099270C22semidirect
42. #19099265C22semidirect
46. #19099255C22semidirect
48. #19099247C22semidirect
56. #19099191C22semidirect
57. #19099190C22semidirect
58. #19099182C22semidirect
66. #19099118C22semidirect
68. #19099092C22semidirect
75. #19098973C22semidirect
76. #19098970C22semidirect
77. #19098964C22semidirect
78. #19098964C22semidirect
79. #19098962C22semidirect
80. #19098960C22semidirect
82. #19098921C22semidirect
83. #19098916C22semidirect
84. #19098916C22semidirect
85. #19098916C22semidirect
87. #19098907C22semidirect
88. #19098906C22semidirect
89. #19098906C22semidirect
90. #19098903C22semidirect
91. #19098897C22semidirect
92. #19098895C22semidirect
93. #19098891C22semidirect
97. #19098885C22semidirect
98. #19098884C22semidirect
99. #19098884C22semidirect
101. #19098880C22semidirect
102. #19098879C22semidirect
103. #19098879C22semidirect
104. #19098874C22semidirect
105. #19098871C22semidirect
106. #19098871C22semidirect
107. #19098868C22semidirect
111. #19098863C22semidirect
112. #19098863C22semidirect
115. #19098861C22semidirect
116. #19098861C22semidirect
117. #19098861C22semidirect
118. #19098861C22semidirect
119. #19098859C22semidirect
120. #19098859C22semidirect
121. #19098856C22semidirect
122. #19098853C22semidirect
123. #19098851C22semidirect
125. #19098845C22semidirect
128. #19098843C22semidirect
130. #19098841C22semidirect
131. #19098820C22semidirect
133. #19098808C22semidirect
134. #19098808C22semidirect
137. #19098803C22semidirect
139. #19098783C22semidirect
140. #19098783C22semidirect
141. #19098782C22semidirect
142. #19098776C22semidirect
143. #19098776C22semidirect
151. #19098692C22semidirect
152. #19098687C22semidirect
155. #19098668C22semidirect
156. #19098664C22semidirect
157. SD16×Dic79C22semidirect
159. C4×#11929612C22semidirect
162. D8×Dic79C22semidirect
163. D8×Dic79C22semidirect
166. #19098639C22semidirect
167. #19098639C22semidirect
168. #19098634C22semidirect
170. C8×C22⋊D79C22semidirect
171. #19098624C22semidirect
172. #19098623C22semidirect
173. #19098615C22semidirect
174. #19098605C22semidirect
175. #19098604C22semidirect
176. #19098602C22semidirect
177. #19098602C22semidirect
178. #19098600C22semidirect
179. C2×#14579095C22semidirect
180. #19098588C22semidirect
181. #19098585C22semidirect
188. #542×C79C22semidirect
190. #479×C79C22semidirect
191. #478×C79C22semidirect
192. #476×C79C22semidirect
193. #474×C79C22semidirect
194. #469×C79C22semidirect
195. #468×C79C22semidirect
196. #466×C79C22semidirect
197. #465×C79C22semidirect
198. #463×C79C22semidirect
199. #463×C79C22semidirect
202. #424×C79C22semidirect
853. #3257D79semidirect
865. C79#62175semidirect
896. #542C2×D79semidirect
944. #479C2×D79semidirect
956. #478C2×D79semidirect
963. #476C2×D79semidirect
970. #474C2×D79semidirect
973. #469C2×D79semidirect
978. #468C2×D79semidirect
981. #466C2×D79semidirect
982. #465C2×D79semidirect
989. #463C2×D79semidirect
990. #463C2×D79semidirect
1029. #424C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780512
#237773382
#237763572
#237762782
#237761612
#237760642
#237759902
#237759672
#237759552
#237759372
#237758462
#237758052
#237756342
#237756112
#237755962
#237755622
#237755482
#237752302
#237748582
#237747982
#237746952
#237746472
#237745772
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