Finite Group Databasebeta

← #35174841

Subgroups — #35174841

Order 20224.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777697C211yesmaximal, characteristic, complemented
2#23777065C211yesmaximal, characteristic, complemented
3#23775736C211yesmaximal, characteristic, complemented
4#23775674C211yesmaximal, characteristic, complemented
5#23775626C211yesmaximal, characteristic, complemented
6#23775604C211yesmaximal, characteristic, complemented
7#23775484C211yesmaximal, characteristic, complemented
8#23775461C211yesmaximal, characteristic, complemented
9#23775416C211yesmaximal, characteristic, complemented
10#23775409C211yesmaximal, characteristic, complemented
11#23775064C211yesmaximal, characteristic, complemented
12#23775054C211yesmaximal, characteristic, complemented
13#23775034C211yesmaximal, characteristic, complemented
14#23774997C211yesmaximal, characteristic, complemented
15#23774988C211yesmaximal, characteristic, complemented
16#23774962C211yesmaximal, characteristic, complemented
17#23774913C211yesmaximal, characteristic, complemented
18#23774902C211yesmaximal, characteristic, complemented
19#23774498C211yesmaximal, characteristic, complemented
20#23774468C211yesmaximal, characteristic, complemented
21#23774304C211yesmaximal, characteristic, complemented
22#23774287C211yesmaximal, characteristic, complemented
23#23774214C211yesmaximal, characteristic, complemented
24#23773665C211yesmaximal, characteristic, complemented
25#23773609C211yesmaximal, characteristic, complemented
26#23772705C211yesmaximal, characteristic, complemented
27#23772672C211yesmaximal, characteristic, complemented
28#23772658C211yesmaximal, characteristic, complemented
29#23772645C211yesmaximal, characteristic, complemented
30#23772460C211yesmaximal, characteristic, complemented
31C79×#3193C211yesmaximal, characteristic, complemented
32C2×#14579206C2211yescharacteristic
33C22×#11929624C2211yescharacteristic
34C2×#14579194C2211yescharacteristic, complemented
35C2×#14579192C2211yescharacteristic, complemented
36C2×#14579192C2211yescharacteristic, complemented
37C2×#14579190C2211yescharacteristic, complemented
38C2×#14579189C2211yescharacteristic, complemented
39C2×#14579188C2211yescharacteristic, complemented
40C2×#14579182C2211yescharacteristic, complemented
41C2×SD16×D79C2211yescharacteristic, complemented
42#19099314—21no—
43#19099309—21no—
44#19099284C2211yescharacteristic, complemented
45#19099268—21no—
46#19099268C2211yescharacteristic, complemented
47#19099261—21no—
48#19099261C2211yescharacteristic, complemented
49#19099247C2211yescharacteristic, complemented
50#19099231C2211yescharacteristic
51#19099231C2211yescharacteristic
52Q8×C22⋊D79C2211yescharacteristic, complemented
53#19099224C2211yescharacteristic, complemented
54#19099223C2211yescharacteristic, complemented
55#19099219C2211yescharacteristic
56#19099219C2211yescharacteristic
57#19099215C2211yescharacteristic, complemented
58#19099210C2211yescharacteristic
59#19099210C2211yescharacteristic
60#19099203—21no—
61#19099203—21no—
62#19099197C2211yescharacteristic
63#19099197C2211yescharacteristic
64D4×C22⋊D79—21no—
65D4×C22⋊D79—21no—
66#19099186C2211yescharacteristic, complemented
67#19099183—21no—
68#19099173C2211yescharacteristic, complemented
69#19099159—21no—
70#19099151—21no—
71#19099151—21no—
72#19099144C2211yescharacteristic
73#19099143C2211yescharacteristic, complemented
74#19099142—21no—
75#19099136C2211yescharacteristic, complemented
76#19099130C2211yescharacteristic
77#19099129—21no—
78#19099074C2211yescharacteristic
79#19099074C2211yescharacteristic, complemented
80#19099073—21no—
81#121×D79—21no—
82#19099044C2211yescharacteristic
83#19098954C2211yescharacteristic, complemented
84#19098949C2211yescharacteristic, complemented
85#19098944C2211yescharacteristic, complemented
86#19098934C2211yescharacteristic, complemented
87#19098926C2211yescharacteristic, complemented
88#19098921C2211yescharacteristic, complemented
89#19098916C2211yescharacteristic, complemented
90#19098908C2211yescharacteristic, complemented
91#19098906C2211yescharacteristic, complemented
92#19098900C2211yescharacteristic, complemented
93#19098893C2211yescharacteristic, complemented
94#19098890C2211yescharacteristic, complemented
95#19098884C2211yescharacteristic, complemented
96#19098884C2211yescharacteristic, complemented
97#19098878C2211yescharacteristic, complemented
98#19098876C2211yescharacteristic, complemented
99#19098869C2211yescharacteristic, complemented
100#19098866C2211yescharacteristic, complemented
101#19098857C2211yescharacteristic, complemented
102#19098842C2211yescharacteristic, complemented
103#19098820C2211yescharacteristic, complemented
104#19098814C2211yescharacteristic, complemented
105#19098814C2211yescharacteristic, complemented
106#19098812C2211yescharacteristic, complemented
107#19098810C2211yescharacteristic, complemented
108#19098810C2211yescharacteristic, complemented
109#19098807C2211yescharacteristic, complemented
110#19098807C2211yescharacteristic, complemented
111#19098805C2211yescharacteristic, complemented
112#19098803C2211yescharacteristic, complemented
113#19098800C2211yescharacteristic, complemented
114#19098795C2211yescharacteristic, complemented
115#19098788C2211yescharacteristic, complemented
116#19098784C2211yescharacteristic, complemented
117#19098783C2211yescharacteristic, complemented
118#19098783C2211yescharacteristic, complemented
119#19098781C2211yescharacteristic, complemented
120#19098777C2211yescharacteristic, complemented
121#19098772C2211yescharacteristic, complemented
122#19098767C2211yescharacteristic, complemented
123#19098762C2211yescharacteristic, complemented
124#19098761C2211yescharacteristic, complemented
125#19098761C2211yescharacteristic, complemented
126#19098757C2211yescharacteristic, complemented
127#19098728C2211yescharacteristic, complemented
128#19098727C2211yescharacteristic
129#19098727C2211yescharacteristic, complemented
130#19098727C2211yescharacteristic, complemented
131#19098727C2211yescharacteristic, complemented
132#19098726C2211yescharacteristic, complemented
133#19098723C2211yescharacteristic
134#19098723C2211yescharacteristic
135#19098723C2211yescharacteristic, complemented
136#19098723C2211yescharacteristic, complemented
137#19098722C2211yescharacteristic, complemented
138#19098722C2211yescharacteristic, complemented
139#19098720C2211yescharacteristic, complemented
140#19098718C2211yescharacteristic, complemented
141#19098718C2211yescharacteristic, complemented
142#19098715C2211yescharacteristic, complemented
143#19098714C2211yescharacteristic, complemented
144#19098713C2211yescharacteristic, complemented
145#19098713C2211yescharacteristic, complemented
146#19098712C2211yescharacteristic, complemented
147#19098712C2211yescharacteristic, complemented
148#19098711C2211yescharacteristic, complemented
149#19098710C2211yescharacteristic
150#19098710C2211yescharacteristic, complemented
151#19098710C2211yescharacteristic, complemented
152#19098710C2211yescharacteristic, complemented
153#19098709C2211yescharacteristic, complemented
154#19098706C2211yescharacteristic, complemented
155#19098706C2211yescharacteristic, complemented
156#19098703C2211yescharacteristic, complemented
157#19098698C2211yescharacteristic, complemented
158#19098697C2211yescharacteristic, complemented
159#19098667C2211yescharacteristic, complemented
160#19098666C2211yescharacteristic, complemented
161#19098662C2211yescharacteristic, complemented
162#19098662C2211yescharacteristic, complemented
163#19098657C2211yescharacteristic, complemented
164#19098655C2211yescharacteristic, complemented
165#19098648C2211yescharacteristic, complemented
166#19098645C2211yescharacteristic, complemented
167#19098639C2211yescharacteristic, complemented
168#19098639C2211yescharacteristic, complemented
169#19098638C2211yescharacteristic, complemented
170#19098638C2211yescharacteristic, complemented
171#19098637C2211yescharacteristic, complemented
172#19098637C2211yescharacteristic, complemented
173#19098632C2211yescharacteristic, complemented
174#19098632C2211yescharacteristic, complemented
175#19098621C2211yescharacteristic, complemented
176#19098621C2211yescharacteristic, complemented
177#19098573C2211yescharacteristic, complemented
178#19098569C2211yescharacteristic, complemented
179#19098566C2211yescharacteristic, complemented
180#19098562C2211yescharacteristic, complemented
181#19098562C2211yescharacteristic, complemented
182#19098561C2211yescharacteristic, complemented
183#19098556C2211yescharacteristic, complemented
184#102×D79C2211yescharacteristic, complemented
185#19098528C2211yescharacteristic, complemented
186#19098528C2211yescharacteristic, complemented
187#19098527C2211yescharacteristic, complemented
188C2×C22⋊Q8×C79C2211yescharacteristic, complemented
189C2×#121×C79C2211yescharacteristic
190#484×C79C2211yescharacteristic, complemented
191#484×C79C2211yescharacteristic, complemented
192#480×C79C2211yescharacteristic, complemented
193#480×C79C2211yescharacteristic, complemented
194#468×C79C2211yescharacteristic, complemented
195#468×C79C2211yescharacteristic, complemented
196#468×C79C2211yescharacteristic, complemented
197#468×C79C2211yescharacteristic, complemented
198#450×C79C2211yescharacteristic, complemented
199#450×C79C2211yescharacteristic, complemented
200#448×C79C2211yescharacteristic, complemented
201#448×C79C2211yescharacteristic, complemented
202#407×C79C2211yescharacteristic, complemented
203#14579206—42no—
204#14579206—42no—
205C2×#11929625C2311yescharacteristic
206C2×#11929624—21no—
207C2×#11929624—21no—
208C2×#11929624—42no—
209C2×#11929624—42no—
210C2×#11929624C2311yescharacteristic
211C2×#11929624C2311yescharacteristic
212C2×#11929624C2311yescharacteristic
213C2×#11929624C2311yescharacteristic
214C2×#11929624C2311yescharacteristic
215C2×#11929624C2311yescharacteristic
216C2×#11929623—21no—
217C2×#11929623C2311yescharacteristic
218C2×#11929623C2311yescharacteristic
219C22×Dic158C2311yescharacteristic
220C2×Q8×D79C2311yescharacteristic
221C22×D316C2311yescharacteristic
222C22×C22⋊D79—21no—
223C22×C22⋊D79—21no—
224C22×C22⋊D79—21no—
225C2×D4×D79—21no—
226C2×D4×D79—21no—
227C2×D4×D79—21no—
228C2×D4×D79C2311yescharacteristic
229C2×D4×D79C2311yescharacteristic
230C22×C4×D79—21no—
231#14579194—42no—
232#14579192—42no—
233#14579192—42no—
234#14579190—42no—
235#14579189—42no—
236#14579188—42no—
237#14579182—42no—
238C2×Dic316C2311yescharacteristic
239C2×Dic316C2311yescharacteristic
240C2×#11929614C2311yescharacteristic
241C2×#11929614C2311yescharacteristic
242C2×#11929614C2311yescharacteristic
243C2×#11929614C2311yescharacteristic
244C2×#11929613C2311yescharacteristic
245C2×#11929613C2311yescharacteristic
246C2×#11929613C2311yescharacteristic
247C2×#11929613C2311yescharacteristic
248C2×#11929612C2311yescharacteristic
249C2×#11929612C2311yescharacteristic
250C2×#11929611C2311yescharacteristic
251C2×#11929611C2311yescharacteristic
252C2×#11929611C2311yescharacteristic
253C2×#11929611C2311yescharacteristic
254SD16×D79—42no—
255C2×D632C2311yescharacteristic
256C2×D632C2311yescharacteristic
257C2×#11929609C2311yescharacteristic
258C2×#11929609C2311yescharacteristic
259C2×#11929608C2311yescharacteristic
260C2×#11929608C2311yescharacteristic
261C2×#11929607C2311yescharacteristic
262C2×#11929607C2311yescharacteristic
263C2×C8×D79C2311yescharacteristic
264C2×C8×D79C2311yescharacteristic
265#14579160—21no—
266#14579160C2311yescharacteristic
267#14579159—21no—
268#14579159C2311yescharacteristic
269#14579157—21no—
270#14579157—21no—
271#14579157C2311yescharacteristic
272#14579157C2311yescharacteristic
273#14579156—21no—
274#14579156—21no—
275#14579156—21no—
276#14579154—21no—
277#14579154—21no—
278#14579154—21no—
279#14579154—21no—
280#14579152—21no—
281#14579152C2311yescharacteristic
282#14579151—21no—
283#14579151—21no—
284#14579151—21no—
285#14579150—21no—
286#14579150C2311yescharacteristic
287#14579148C2311yescharacteristic
288#14579148C2311yescharacteristic
289#14579147—21no—
290#14579147—21no—
291#14579147—21no—
292#14579147—21no—
293#14579147—21no—
294#14579147—21no—
295#14579146—21no—
296#14579146—21no—
297#14579146—21no—
298#14579144—21no—
299#14579144D411yescharacteristic
300#14579144D411yescharacteristic
301#14579143—21no—
302#14579143—21no—
303#14579143—21no—
304#14579143—21no—
305#14579143—21no—
306#14579143—21no—
307#14579141—21no—
308#14579141—21no—
309#14579141C2311yescharacteristic
310#14579141C2311yescharacteristic
311#14579141C2311yescharacteristic
312#14579140—21no—
313#14579140—21no—
314#14579140D411yescharacteristic
315#14579140D411yescharacteristic
316#14579140C2311yescharacteristic
317#14579140C2311yescharacteristic
318#14579139—21no—
319#14579139—21no—
320#14579139—21no—
321#14579138—21no—
322#14579138—21no—
323#14579137—21no—
324#14579137—21no—
325#14579137C2311yescharacteristic
326#14579137C2311yescharacteristic
327#14579136—21no—
328#14579136—21no—
329#14579136C2311yescharacteristic
330#14579136C2311yescharacteristic
331#14579136C2311yescharacteristic
332#14579135—21no—
333#14579135—21no—
334#14579135—21no—
335#14579135—21no—
336#14579135D411yescharacteristic
337#14579135D411yescharacteristic
338#14579135C2311yescharacteristic
339#14579135C2311yescharacteristic
340#14579134—21no—
341#14579134—21no—
342#14579134—21no—
343#14579134—21no—
344#14579134—21no—
345#14579134—21no—
346#14579134—21no—
347#14579134—21no—
348#14579133—21no—
349#14579133—21no—
350#14579133—21no—
351#14579133—21no—
352#14579132—21no—
353#14579132—21no—
354#14579132—21no—
355#14579132—21no—
356#14579131—21no—
357#14579131—21no—
358#14579130—21no—
359#14579130—21no—
360#14579130—21no—
361#14579130D411yescharacteristic
362#14579130D411yescharacteristic
363#14579129—21no—
364#14579129—21no—
365#14579129—21no—
366#14579129—21no—
367Q8×Dic79C2311yescharacteristic
368Q8×Dic79C2311yescharacteristic
369#14579126—21no—
370#14579126C2311yescharacteristic
371#14579126C2311yescharacteristic
372#14579126C2311yescharacteristic
373D4×Dic79—21no—
374D4×Dic79—21no—
375#14579123—21no—
376#14579123C2311yescharacteristic
377#14579123C2311yescharacteristic
378#14579123C2311yescharacteristic
379C4×C22⋊D79—21no—
380C4×C22⋊D79—21no—
381C4×C22⋊D79—21no—
382C4×C22⋊D79—21no—
383C4×C22⋊D79—21no—
384C4×C22⋊D79—21no—
385C4×C22⋊D79—21no—
386C4×C22⋊D79—21no—
387C4×C22⋊D79C2311yescharacteristic
388C4×C22⋊D79C2311yescharacteristic
389C4×C22⋊D79C2311yescharacteristic
390C4×C22⋊D79C2311yescharacteristic
391(C22⋊D79)⋊C4—21no—
392(C22⋊D79)⋊C4—21no—
393#14579120C2311yescharacteristic
394#14579120C2311yescharacteristic
395#14579119—21no—
396#14579119—21no—
397#14579119C2311yescharacteristic
398C4⋊C4×D79—21no—
399C4⋊C4×D79—21no—
400C4⋊C4×D79C2311yescharacteristic
401C22⋊C4×D79—21no—
402C22⋊C4×D79—21no—
403#14579094C2311yescharacteristic
404#14579094C2311yescharacteristic
405#14579092C2311yescharacteristic
406#14579092C2311yescharacteristic
407Dic79⋊C8C2311yescharacteristic
408Dic79⋊C8C2311yescharacteristic
409Dic79⋊C8C2311yescharacteristic
410Dic79⋊C8C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579086C2311yescharacteristic
413#14579086C2311yescharacteristic
414#14579086C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579083C2311yescharacteristic
423#14579083C2311yescharacteristic
424#14579083C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432#14579081C2311yescharacteristic
433#14579081C2311yescharacteristic
434#14579081C2311yescharacteristic
435C22⋊(C79⋊C8)C2311yescharacteristic
436C22⋊(C79⋊C8)C2311yescharacteristic
437C22⋊(C79⋊C8)C2311yescharacteristic
438C22⋊(C79⋊C8)C2311yescharacteristic
439(C2×D79)⋊C8C2311yescharacteristic
440(C2×D79)⋊C8C2311yescharacteristic
441(C2×D79)⋊C8C2311yescharacteristic
442(C2×D79)⋊C8C2311yescharacteristic
443#14579071C2311yescharacteristic
444#14579071C2311yescharacteristic
445C8×Dic79C2311yescharacteristic
446C8×Dic79C2311yescharacteristic
447C22×Q8×C79C2311yescharacteristic
448C22×D4×C79—21no—
449C22×D4×C79C2311yescharacteristic
450C23×C4×C79C2311yescharacteristic
451C2×SD16×C79C2311yescharacteristic
452C2×SD16×C79C2311yescharacteristic
453C2×SD16×C79C2311yescharacteristic
454C2×SD16×C79C2311yescharacteristic
455C2×M16×C79C2311yescharacteristic
456C2×M16×C79C2311yescharacteristic
457C22⋊Q8×C79—21no—
458C22⋊Q8×C79—21no—
459C22⋊Q8×C79C2311yescharacteristic
460C22⋊Q8×C79C2311yescharacteristic
461C22⋊Q8×C79C2311yescharacteristic
462C22⋊Q8×C79C2311yescharacteristic
463#121×C79—21no—
464#121×C79—21no—
465#121×C79C2311yescharacteristic
466#121×C79C2311yescharacteristic
467#121×C79C2311yescharacteristic
468#121×C79C2311yescharacteristic
469C2×C4⋊C4×C79—21no—
470C2×C4⋊C4×C79C2311yescharacteristic
471C2×C4⋊C4×C79C2311yescharacteristic
472C2×C22⋊C4×C79—21no—
473C2×C22⋊C4×C79—21no—
474#107×C79C2311yescharacteristic
475#107×C79C2311yescharacteristic
476#107×C79C2311yescharacteristic
477#107×C79C2311yescharacteristic
478#103×C79C2311yescharacteristic
479#103×C79C2311yescharacteristic
480#103×C79C2311yescharacteristic
481#103×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic
486C22⋊C8×C79C2311yescharacteristic
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic
489C22⋊C8×C79C2311yescharacteristic
490C23×D79—21no—
491C23×D79—21no—
492C23×D79—21no—
493#11929625—41no—
494#11929625—41no—
495#11929624—22no—
496#11929624—22no—
497#11929624—22no—
498#11929624—22no—
499#11929624—44no—
500#11929624—41no—
501#11929624—41no—
502#11929624—41no—
503#11929624—41no—
504#11929624—41no—
505#11929624—41no—
506#11929624—44no—
507#11929624—41no—
508#11929624—41no—
509#11929623—22no—
510#11929623—22no—
511#11929623—41no—
512#11929623—41no—
513#11929623—44no—
514C2×Dic158—22no—
515C2×Dic158—21no—
516C2×Dic158—21no—
517C2×Dic158—21no—
518C2×Dic158—41no—
519C2×Dic158C2×D411yescharacteristic
520C2×Dic158C2411yescharacteristic
521C2×Dic158C2411yescharacteristic
522C2×Dic158C2411yescharacteristic
523Q8×D79—41no—
524Q8×D79—41no—
525C2×D316—21no—
526C2×D316—21no—
527C2×D316—21no—
528C2×D316—21no—
529C2×D316—22no—
530C2×D316—21no—
531C2×D316—41no—
532C2×D316C2×D411yescharacteristic
533C2×D316C2411yescharacteristic
534C2×D316C2411yescharacteristic
535C2×D316C2411yescharacteristic
536C2×C22⋊D79—21no—
537C2×C22⋊D79—21no—
538C2×C22⋊D79—21no—
539C2×C22⋊D79—21no—
540C2×C22⋊D79—21no—
541C2×C22⋊D79—21no—
542C2×C22⋊D79—21no—
543C2×C22⋊D79—21no—
544C2×C22⋊D79—21no—
545C2×C22⋊D79—21no—
546C2×C22⋊D79—21no—
547C2×C22⋊D79—21no—
548C2×C22⋊D79—21no—
549C2×C22⋊D79—21no—
550C2×C22⋊D79—21no—
551C2×C22⋊D79—44no—
552C2×C22⋊D79—44no—
553C2×C22⋊D79—44no—
554C2×C22⋊D79C2×D411yescharacteristic
555C2×C22⋊D79C2×D411yescharacteristic
556C2×C22⋊D79C2×D411yescharacteristic
557C2×C22⋊D79C2×D411yescharacteristic
558C2×C22⋊D79C2×D411yescharacteristic
559C2×C22⋊D79C2×D411yescharacteristic
560D4×D79—22no—
561D4×D79—22no—
562D4×D79—41no—
563D4×D79—41no—
564D4×D79—44no—
565D4×D79—82no—
566D4×D79—82no—
567C22×Dic79—21no—
568C22×Dic79—21no—
569C22×Dic79—21no—
570C2×C4×D79—21no—
571C2×C4×D79—21no—
572C2×C4×D79—21no—
573C2×C4×D79—21no—
574C2×C4×D79—21no—
575C2×C4×D79—21no—
576C2×C4×D79—21no—
577C2×C4×D79—21no—
578C2×C4×D79—21no—
579C2×C4×D79—21no—
580C2×C4×D79—21no—
581C2×C4×D79—44no—
582C2×C4×D79C2411yescharacteristic
583C2×C4×D79C2411yescharacteristic
584Dic316—22no—
585Dic316—41no—
586#11929614—22no—
587#11929614—22no—
588#11929614—41no—
589#11929614—41no—
590#11929613—22no—
591#11929613—22no—
592#11929613—41no—
593#11929613—41no—
594#11929612—41no—
595#11929612—41no—
596#11929611—22no—
597#11929611—22no—
598#11929611—41no—
599#11929611—41no—
600D632—22no—
601D632—41no—
602#11929609—41no—
603#11929609—41no—
604#11929608—41no—
605#11929608—41no—
606#11929607—41no—
607#11929607—41no—
608C2×C79⋊C8C2411yescharacteristic
609C2×C79⋊C8C2411yescharacteristic
610C2×C79⋊C8C2411yescharacteristic
611C2×C79⋊C8C2411yescharacteristic
612C8×D79—41no—
613C8×D79—41no—
614C4⋊Dic79—21no—
615C4⋊Dic79—21no—
616C4⋊Dic79—21no—
617C4⋊Dic79—21no—
618C4⋊Dic79—21no—
619C4⋊Dic79—21no—
620C4⋊Dic79C2×D411yescharacteristic
621C4⋊Dic79C2×D411yescharacteristic
622C4⋊Dic79C2411yescharacteristic
623C4⋊Dic79C2411yescharacteristic
624Dic79⋊C4—21no—
625Dic79⋊C4—21no—
626Dic79⋊C4—21no—
627Dic79⋊C4—21no—
628Dic79⋊C4—21no—
629Dic79⋊C4—21no—
630Dic79⋊C4—21no—
631Dic79⋊C4—21no—
632Dic79⋊C4—21no—
633Dic79⋊C4—21no—
634Dic79⋊C4—21no—
635Dic79⋊C4—21no—
636Dic79⋊C4C2×D411yescharacteristic
637Dic79⋊C4C2×D411yescharacteristic
638Dic79⋊C4C2×D411yescharacteristic
639Dic79⋊C4C2×D411yescharacteristic
640C22⋊Dic79—21no—
641C22⋊Dic79—21no—
642C22⋊Dic79—21no—
643C22⋊Dic79—21no—
644C22⋊Dic79—21no—
645C22⋊Dic79—21no—
646C22⋊Dic79—21no—
647C22⋊Dic79C2×D411yescharacteristic
648C22⋊Dic79C2×D411yescharacteristic
649C22⋊Dic79C2×D411yescharacteristic
650C22⋊Dic79C2×D411yescharacteristic
651C22⋊Dic79C2×D411yescharacteristic
652C22⋊Dic79C2×D411yescharacteristic
653(C2×D79)⋊C4—21no—
654(C2×D79)⋊C4—21no—
655(C2×D79)⋊C4—21no—
656(C2×D79)⋊C4—21no—
657(C2×D79)⋊C4—21no—
658(C2×D79)⋊C4—21no—
659(C2×D79)⋊C4—21no—
660(C2×D79)⋊C4—21no—
661(C2×D79)⋊C4—21no—
662(C2×D79)⋊C4—21no—
663(C2×D79)⋊C4—21no—
664(C2×D79)⋊C4—21no—
665(C2×D79)⋊C4—21no—
666(C2×D79)⋊C4—21no—
667(C2×D79)⋊C4—21no—
668(C2×D79)⋊C4—21no—
669(C2×D79)⋊C4C2×D411yescharacteristic
670(C2×D79)⋊C4C2×D411yescharacteristic
671(C2×D79)⋊C4C2×D411yescharacteristic
672(C2×D79)⋊C4C2×D411yescharacteristic
673C4×Dic79—21no—
674C4×Dic79—21no—
675C4×Dic79—21no—
676C4×Dic79—21no—
677C4×Dic79—21no—
678C4×Dic79—21no—
679C4×Dic79—21no—
680C4×Dic79C2411yescharacteristic
681C4×Dic79C2411yescharacteristic
682C24×C79—21no—
683C24×C79C2×D411yescharacteristic
684C2×Q8×C79—21no—
685C2×Q8×C79—41no—
686C2×Q8×C79—41no—
687C2×Q8×C79C2411yescharacteristic
688C2×Q8×C79C2411yescharacteristic
689C2×D4×C79—21no—
690C2×D4×C79—21no—
691C2×D4×C79—21no—
692C2×D4×C79—21no—
693C2×D4×C79—21no—
694C2×D4×C79—41no—
695C2×D4×C79—41no—
696C2×D4×C79—82no—
697C2×D4×C79C2411yescharacteristic
698C2×D4×C79C2411yescharacteristic
699C22×C4×C79—21no—
700C22×C4×C79—21no—
701C22×C4×C79—21no—
702C22×C4×C79—41no—
703C22×C4×C79—41no—
704C22×C4×C79C2×D411yescharacteristic
705C22×C4×C79C2×D411yescharacteristic
706C22×C4×C79C2×D411yescharacteristic
707C22×C4×C79C2411yescharacteristic
708C22×C4×C79C2411yescharacteristic
709C22×C4×C79C2411yescharacteristic
710SD16×C79—41no—
711SD16×C79—41no—
712SD16×C79—41no—
713SD16×C79—41no—
714M16×C79—41no—
715M16×C79—41no—
716C2×C8×C79C2411yescharacteristic
717C2×C8×C79C2411yescharacteristic
718C2×C8×C79C2411yescharacteristic
719C2×C8×C79C2411yescharacteristic
720C4⋊C4×C79—21no—
721C4⋊C4×C79—21no—
722C4⋊C4×C79—21no—
723C4⋊C4×C79—21no—
724C4⋊C4×C79—21no—
725C4⋊C4×C79—21no—
726C4⋊C4×C79C2411yescharacteristic
727C4⋊C4×C79C2411yescharacteristic
728C4⋊C4×C79C2411yescharacteristic
729C4⋊C4×C79C2411yescharacteristic
730C22⋊C4×C79—21no—
731C22⋊C4×C79—21no—
732C22⋊C4×C79—21no—
733C22⋊C4×C79—21no—
734C22⋊C4×C79—21no—
735C22⋊C4×C79—21no—
736C22⋊C4×C79—21no—
737C22⋊C4×C79—21no—
738C23×C79—21no—
739C23×C79—21no—
740C23×C79—41no—
741C23×C79—41no—
742C23×C79—41no—
743C23×C79—42no—
744C23×C79—81no—
745C23×C79—81no—
746C23×C79C22×D411yescharacteristic
747C23×C79C22×D411yescharacteristic
748C23×C79C22×D411yescharacteristic
749C22×D79—21no—
750C22×D79—21no—
751C22×D79—21no—
752C22×D79—42no—
753C22×D79—42no—
754C22×D79—42no—
755C22×D79—42no—
756C22×D79—81no—
757C22×D79—81no—
758C22×D79—81no—
759C22×D79—81no—
760C22×D79—81no—
761C22×D79C22×D411yescharacteristic
762C22×D79C22×D411yescharacteristic
763Q8×C79—21no—
764Q8×C79—21no—
765Q8×C79—21no—
766Q8×C79—21no—
767Q8×C79—81no—
768D4×C79—21no—
769D4×C79—21no—
770D4×C79—21no—
771D4×C79—21no—
772D4×C79—42no—
773D4×C79—42no—
774D4×C79—42no—
775D4×C79—81no—
776D4×C79—81no—
777C2×C4×C79—21no—
778C2×C4×C79—21no—
779C2×C4×C79—21no—
780C2×C4×C79—21no—
781C2×C4×C79—21no—
782C2×C4×C79—21no—
783C2×C4×C79—21no—
784C2×C4×C79—21no—
785C2×C4×C79—21no—
786C2×C4×C79—21no—
787C2×C4×C79—21no—
788C2×C4×C79—21no—
789C2×C4×C79—41no—
790C2×C4×C79—41no—
791C2×C4×C79—41no—
792C2×C4×C79—81no—
793C2×C4×C79—81no—
794C2×C4×C79—81no—
795C2×C4×C79C22×D411yescharacteristic
796C2×C4×C79C22×D411yescharacteristic
797C2×C4×C79C22×D411yescharacteristic
798C2×C4×C79C2511yescharacteristic
799C22⋊D79—24no—
800C22⋊D79—41no—
801C22⋊D79—41no—
802C22⋊D79—41no—
803C22⋊D79—41no—
804C22⋊D79—41no—
805C22⋊D79—41no—
806C22⋊D79—42no—
807C22⋊D79—42no—
808C22⋊D79—42no—
809C22⋊D79—42no—
810C22⋊D79—42no—
811C22⋊D79—42no—
812C22⋊D79—42no—
813C22⋊D79—42no—
814C22⋊D79—81no—
815C22⋊D79—81no—
816C22⋊D79—81no—
817C22⋊D79—81no—
818C22⋊D79—81no—
819C22⋊D79—81no—
820C2×Dic79—21no—
821C2×Dic79—21no—
822C2×Dic79—21no—
823C2×Dic79—21no—
824C2×Dic79—21no—
825C2×Dic79—42no—
826C2×Dic79—42no—
827C2×Dic79—42no—
828C2×Dic79C22×D411yescharacteristic
829C2×Dic79C22×D411yescharacteristic
830C2×Dic79C22×D411yescharacteristic
831C2×Dic79C22×D411yescharacteristic
832C2×Dic79C22×D411yescharacteristic
833C2×Dic79C22×D411yescharacteristic
834D316—21no—
835D316—21no—
836D316—21no—
837D316—21no—
838D316—21no—
839D316—41no—
840D316—42no—
841D316—81no—
842D316—81no—
843D316—81no—
844D316—81no—
845D316H(5,𝔽2)12yes—
846C4×D79—24no—
847C4×D79—21no—
848C4×D79—21no—
849C4×D79—21no—
850C4×D79—21no—
851C4×D79—42no—
852C4×D79—42no—
853C4×D79—42no—
854C4×D79—81no—
855C4×D79—81no—
856C4×D79—81no—
857C4×D79—81no—
858C4×D79—81no—
859C4×D79—81no—
860C4×D79—81no—
861Dic158—21no—
862Dic158—21no—
863Dic158—21no—
864Dic158—21no—
865Dic158—21no—
866Dic158—41no—
867Dic158—42no—
868Dic158—81no—
869Dic158—81no—
870Dic158H(5,𝔽2)12yes—
871C8×C79—21no—
872C8×C79—21no—
873C8×C79—21no—
874C8×C79—21no—
875C79⋊C8—21no—
876C79⋊C8—21no—
877C79⋊C8—21no—
878C79⋊C8—21no—
879C22×C79—21no—
880C22×C79—21no—
881C22×C79—21no—
882C22×C79—21no—
883C22×C79—21no—
884C22×C79—21no—
885C22×C79—21no—
886C22×C79—21no—
887C22×C79—21no—
888C22×C79—41no—
889C22×C79—41no—
890C22×C79—41no—
891C22×C79—41no—
892C22×C79—41no—
893C22×C79—41no—
894C22×C79—82no—
895C22×C79—162no—
896C22×C79C23×D411yescharacteristic
897C2×D79—21no—
898C2×D79—21no—
899C2×D79—21no—
900C2×D79—21no—
901C2×D79—22no—
902C2×D79—21no—
903C2×D79—21no—
904C2×D79—41no—
905C2×D79—41no—
906C2×D79—41no—
907C2×D79—41no—
908C2×D79—41no—
909C2×D79—41no—
910C2×D79—41no—
911C2×D79—41no—
912C2×D79—84no—
913C2×D79—162no—
914C2×D79—162no—
915C4×C79—21no—
916C4×C79—21no—
917C4×C79—21no—
918C4×C79—41no—
919C4×C79—41no—
920C4×C79—41no—
921C4×C79—41no—
922C4×C79—41no—
923C4×C79—41no—
924C4×C79C2×H(5,𝔽2)11yescharacteristic
925C4×C79C2×H(5,𝔽2)11yescharacteristic
926Dic79—21no—
927Dic79—21no—
928Dic79—21no—
929Dic79—21no—
930Dic79—22no—
931Dic79—21no—
932Dic79—21no—
933Dic79—41no—
934Dic79—41no—
935Dic79—41no—
936Dic79—41no—
937#61654—791nomaximal, Sylow
938C2×C79—41no—
939C2×C79—41no—
940C2×C79—41no—
941C2×C79—81no—
942C2×C79—81no—
943C2×C79#348411yescharacteristic
944C2×C79#358511yescharacteristic
945C2×C79#358611yescharacteristic
946D79—41no—
947D79—41no—
948D79—42no—
949D79—81no—
950D79—81no—
951#3541—791no—
952#3488—791no—
953#3333—791no—
954#3327—791no—
955#3324—791no—
956#3322—791no—
957#3314—791no—
958#3313—791no—
959#3310—791no—
960#3309—791no—
961#3278—791no—
962#3277—791no—
963#3275—791no—
964#3272—791no—
965#3271—791no—
966#3269—791no—
967#3266—791no—
968#3265—791no—
969#3224—791no—
970#3222—791no—
971#3203—791no—
972#3201—791no—
973#3194—791no—
974#3193D7911yescharacteristic, complemented
975#3124—791no—
976#3120—791no—
977#3012—791no—
978#3009—791no—
979#3007—791no—
980#3005—791no—
981#2978—791no—
982C79#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)—791no—
984C22×#41—791no—
985C2×#137—791no—
986C2×#137—791no—
987C2×#137—791no—
988C2×#137—791no—
989C2×AGL(1,ℤ/8)—791no—
990C2×AGL(1,ℤ/8)—791no—
991C2×#135—791no—
992C22×SD16—791no—
993#563—1581no—
994#562—1581no—
995#556—791no—
996#554—791no—
997#554—1581no—
998#553—791no—
999#553—1581no—
1000#552—791no—
1001#550—791no—
1002#550—791no—
1003D4×Q8—791no—
1004#548—791no—
1005#548—791no—
1006#548—791no—
1007#548—791no—
1008#547—791no—
1009#546—791no—
1010#546—791no—
1011#546—1581no—
1012#546—1581no—
1013D42—791no—
1014D42—791no—
1015D42—1581no—
1016D42—1581no—
1017#542—791no—
1018#542—1581no—
1019#541—791no—
1020#539—1581no—
1021#538—1581no—
1022#538—1581no—
1023#537—791no—
1024#537—791no—
1025#537—1581no—
1026#536—791no—
1027#535—791no—
1028#535—1581no—
1029#525—791no—
1030#525—791no—
1031#525—1581no—
1032C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1033C2×#121—1581no—
1034C2×#121C2×D7911yescharacteristic
1035#520—791no—
1036#497—791no—
1037#496—791no—
1038#495—791no—
1039#492—791no—
1040#490—791no—
1041#489—791no—
1042#488—791no—
1043#486—791no—
1044#485—791no—
1045#484—791no—
1046#484C2×D7911yescharacteristic, complemented
1047#484C2×D7911yescharacteristic, complemented
1048#483—791no—
1049#482—791no—
1050#482—791no—
1051#482—791no—
1052#480—791no—
1053#480—791no—
1054#480C2×D7911yescharacteristic, complemented
1055#480C2×D7911yescharacteristic, complemented
1056#479—791no—
1057#478—791no—
1058#477—791no—
1059#474—791no—
1060#470—791no—
1061#469—791no—
1062#469—791no—
1063#468—791no—
1064#468—791no—
1065#468—791no—
1066#468—791no—
1067#468—791no—
1068#468C2×D7911yescharacteristic, complemented
1069#468C2×D7911yescharacteristic, complemented
1070#468C2×D7911yescharacteristic, complemented
1071#468C2×D7911yescharacteristic, complemented
1072#467—791no—
1073#467—791no—
1074#466—791no—
1075#465—791no—
1076#464—791no—
1077#464—791no—
1078#464—791no—
1079#464—791no—
1080#463—791no—
1081#463—791no—
1082#462—791no—
1083#461—791no—
1084#460—791no—
1085#460—791no—
1086#460—791no—
1087#459—791no—
1088#452—791no—
1089#452—791no—
1090#452—791no—
1091#452—791no—
1092#452—791no—
1093#452—791no—
1094#452—791no—
1095#452—791no—
1096#452—791no—
1097#452—791no—
1098#452—791no—
1099#452—791no—
1100#451—791no—
1101#451—791no—
1102#451—791no—
1103#450—791no—
1104#450—791no—
1105#450—791no—
1106#450—791no—
1107#450—791no—
1108#450—791no—
1109#450C2×D7911yescharacteristic, complemented
1110#450C2×D7911yescharacteristic, complemented
1111#449—791no—
1112#449—791no—
1113#449—791no—
1114#449—791no—
1115#449—791no—
1116#449—791no—
1117#449—791no—
1118#449—791no—
1119#448—791no—
1120#448C2×D7911yescharacteristic, complemented
1121#448C2×D7911yescharacteristic, complemented
1122#447—791no—
1123#447—791no—
1124#441—791no—
1125#440—791no—
1126#440—791no—
1127#440—791no—
1128C4×Q16—791no—
1129C4×Q16—791no—
1130C4×SD16—791no—
1131C4×D8—791no—
1132#436—791no—
1133#436—791no—
1134#436—791no—
1135#436—791no—
1136#435—791no—
1137#435—791no—
1138#435—791no—
1139#435—791no—
1140#433—791no—
1141#433—791no—
1142#419—791no—
1143#418—791no—
1144#418—791no—
1145#417—791no—
1146#417—791no—
1147#417—791no—
1148#416—791no—
1149C2×#102—791no—
1150#408—791no—
1151#408—791no—
1152#407—791no—
1153#407C2×D7911yescharacteristic, complemented
1154H(5,𝔽2)—3162no—
1155H(5,𝔽2)—3162no—
1156C2×#41—3162no—
1157C2×#41—3162no—
1158C2×#41—791no—
1159C2×#41—791no—
1160C2×#41—791no—
1161C2×#41—791no—
1162C2×#41—791no—
1163C2×#41—791no—
1164C2×#41—791no—
1165C2×#41—791no—
1166C2×#41—791no—
1167C2×#41—1581no—
1168C2×#41—1581no—
1169C2×#41—1581no—
1170C22×Q8—791no—
1171C22×Q8—791no—
1172C22×Q8C22×D7911yescharacteristic
1173C22×D4—21no—
1174C22×D4—791no—
1175C22×D4—791no—
1176C22×D4—791no—
1177C22×D4—1581no—
1178C22×D4—1581no—
1179C22×D4—1581no—
1180C22×D4—1581no—
1181C22×D4—1581no—
1182C22×D4—1581no—
1183C22×D4C22×D7911yescharacteristic
1184C23×C4—1581no—
1185C23×C4C22×D7911yescharacteristic
1186#137—3162no—
1187#137—3162no—
1188#137—3162no—
1189#137—3162no—
1190AGL(1,ℤ/8)—3162no—
1191AGL(1,ℤ/8)—3162no—
1192#135—3162no—
1193C2×Q16—791no—
1194C2×Q16—791no—
1195C2×Q16—791no—
1196C2×Q16—791no—
1197C2×Q16—791no—
1198C2×Q16—791no—
1199C2×SD16—3162no—
1200C2×SD16—791no—
1201C2×SD16—791no—
1202C2×SD16—791no—
1203C2×SD16—791no—
1204C2×SD16—791no—
1205C2×SD16—791no—
1206C2×SD16—791no—
1207C2×SD16—791no—
1208C2×SD16—791no—
1209C2×SD16—791no—
1210C2×SD16C22×D7911yescharacteristic
1211C2×SD16C22×D7911yescharacteristic
1212C2×SD16C22×D7911yescharacteristic
1213C2×SD16C22×D7911yescharacteristic
1214C2×D8—791no—
1215C2×D8—791no—
1216C2×D8—791no—
1217C2×D8—791no—
1218C2×M16—791no—
1219C2×M16—791no—
1220C2×M16—791no—
1221C2×M16—791no—
1222C2×M16C22×D7911yescharacteristic
1223C2×M16C22×D7911yescharacteristic
1224C22×C8—791no—
1225C22×C8—791no—
1226C4⋊Q8—791no—
1227C4⋊Q8—791no—
1228C4⋊Q8—1581no—
1229C4⋊Q8—1581no—
1230#127—791no—
1231#127—791no—
1232#127—1581no—
1233#127—1581no—
1234#126—1581no—
1235#126—1581no—
1236#126—1581no—
1237#126—1581no—
1238#126—1581no—
1239#126—1581no—
1240#126—1581no—
1241#125—791no—
1242#125—1581no—
1243#125—1581no—
1244#125—1581no—
1245#125—1581no—
1246#124—791no—
1247#124—791no—
1248#124—791no—
1249#124—1581no—
1250#124—1581no—
1251#124—1581no—
1252#124—1581no—
1253#124—1581no—
1254#124—1581no—
1255#124—1581no—
1256#123—791no—
1257#123—791no—
1258#123—1581no—
1259#123—1581no—
1260#123—1581no—
1261#123—1581no—
1262#123—1581no—
1263#123—1581no—
1264#123—1581no—
1265#123—1581no—
1266#123—1581no—
1267#123—1581no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—791no—
1271C22⋊Q8—791no—
1272C22⋊Q8—791no—
1273C22⋊Q8—791no—
1274C22⋊Q8—791no—
1275C22⋊Q8—791no—
1276C22⋊Q8—791no—
1277C22⋊Q8—791no—
1278C22⋊Q8—791no—
1279C22⋊Q8—1581no—
1280C22⋊Q8—1581no—
1281C22⋊Q8—1581no—
1282C22⋊Q8—1581no—
1283C22⋊Q8—1581no—
1284C22⋊Q8—1581no—
1285C22⋊Q8—1581no—
1286C22⋊Q8—1581no—
1287C22⋊Q8—1581no—
1288C22⋊Q8—1581no—
1289C22⋊Q8—1581no—
1290C22⋊Q8C22×D7911yescharacteristic
1291C22⋊Q8C22×D7911yescharacteristic
1292C22⋊Q8C22×D7911yescharacteristic
1293C22⋊Q8C22×D7911yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—791no—
1297#121—791no—
1298#121—791no—
1299#121—791no—
1300#121—791no—
1301#121—791no—
1302#121—791no—
1303#121—1581no—
1304#121—1581no—
1305#121—1581no—
1306#121—1581no—
1307#121—1581no—
1308#121—1581no—
1309#121—1581no—
1310#121—1581no—
1311#121—1581no—
1312#121—1581no—
1313#121—1581no—
1314#121—1581no—
1315#121—1581no—
1316#121—1581no—
1317#121—1581no—
1318#121—1581no—
1319#121—1581no—
1320#121—1581no—
1321#121—1581no—
1322#121—1581no—
1323#121—1581no—
1324#121—1581no—
1325#121C22×D7911yescharacteristic
1326#121C22×D7911yescharacteristic
1327#121C22×D7911yescharacteristic
1328#121C22×D7911yescharacteristic
1329#120—791no—
1330#120—791no—
1331#120—1581no—
1332#120—1581no—
1333#120—1581no—
1334#120—1581no—
1335#120—1581no—
1336#120—1581no—
1337#120—1581no—
1338#120—1581no—
1339#120—1581no—
1340C4×Q8—791no—
1341C4×Q8—791no—
1342C4×Q8—791no—
1343C4×Q8—791no—
1344C4×Q8—791no—
1345C4×Q8—1581no—
1346C4×D4—791no—
1347C4×D4—791no—
1348C4×D4—791no—
1349C4×D4—791no—
1350C4×D4—791no—
1351C4×D4—791no—
1352C4×D4—791no—
1353C4×D4—1581no—
1354C4×D4—1581no—
1355C4×D4—1581no—
1356C4×D4—1581no—
1357C4×D4—1581no—
1358C4×D4—1581no—
1359C4×D4—1581no—
1360C4×D4—1581no—
1361C4×D4—1581no—
1362C4×D4—1581no—
1363C4×D4—1581no—
1364C4×D4—1581no—
1365C4×D4—1581no—
1366#117—791no—
1367#117—791no—
1368#117—791no—
1369#117—1581no—
1370#117—1581no—
1371C2×C4⋊C4—21no—
1372C2×C4⋊C4—791no—
1373C2×C4⋊C4—1581no—
1374C2×C4⋊C4—1581no—
1375C2×C4⋊C4C22×D7911yescharacteristic
1376C2×C4⋊C4C22×D7911yescharacteristic
1377C2×C22⋊C4—21no—
1378C2×C22⋊C4—21no—
1379C2×C22⋊C4—1581no—
1380C2×C22⋊C4—1581no—
1381#107—791no—
1382#107—791no—
1383#107C22×D7911yescharacteristic
1384#107C22×D7911yescharacteristic
1385#107C22×D7911yescharacteristic
1386#107C22×D7911yescharacteristic
1387#106—791no—
1388#106—791no—
1389C4⋊C8—791no—
1390C4⋊C8—791no—
1391C4⋊C8—791no—
1392C4⋊C8—791no—
1393#103—791no—
1394#103—791no—
1395#103—791no—
1396#103—791no—
1397#103—791no—
1398#103—791no—
1399#103—791no—
1400#103—791no—
1401#103—791no—
1402#103—791no—
1403#103C22×D7911yescharacteristic
1404#103C22×D7911yescharacteristic
1405#103C22×D7911yescharacteristic
1406#103C22×D7911yescharacteristic
1407#102—791no—
1408#102—791no—
1409#102—791no—
1410#102—791no—
1411#102—791no—
1412#102—791no—
1413#102—791no—
1414#102—791no—
1415#102—791no—
1416#102—791no—
1417#102—791no—
1418#102—791no—
1419#102—791no—
1420#102—791no—
1421#102C22×D7911yescharacteristic
1422#102C22×D7911yescharacteristic
1423#102C22×D7911yescharacteristic
1424#102C22×D7911yescharacteristic
1425C22⋊C8—791no—
1426C22⋊C8—791no—
1427C22⋊C8—791no—
1428C22⋊C8—791no—
1429C22⋊C8—791no—
1430C22⋊C8—791no—
1431C22⋊C8—791no—
1432C22⋊C8—791no—
1433C22⋊C8C22×D7911yescharacteristic
1434C22⋊C8C22×D7911yescharacteristic
1435C22⋊C8C22×D7911yescharacteristic
1436C22⋊C8C22×D7911yescharacteristic
1437#97—791no—
1438#97—791no—
1439C4×C8—791no—
1440C4×C8—791no—
1441C24—21no—
1442C24—1581no—
1443C24—1581no—
1444C24—1581no—
1445C24D4×D7911yescharacteristic
1446#41—3161no—
1447#41—3161no—
1448#41—3161no—
1449#41—3161no—
1450#41—3161no—
1451#41—3161no—
1452#41—3161no—
1453#41—3161no—
1454#41—3164no—
1455#41—3164no—
1456#41—3161no—
1457#41—3161no—
1458#41—3164no—
1459#41—3161no—
1460#41—3161no—
1461#41—1582no—
1462#41—1582no—
1463#41—1582no—
1464#41—1582no—
1465#41—1582no—
1466#41—1582no—
1467C2×Q8—21no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—3161no—
1471C2×Q8—3161no—
1472C2×Q8—3161no—
1473C2×Q8—791no—
1474C2×Q8—791no—
1475C2×Q8—791no—
1476C2×Q8—791no—
1477C2×Q8—1582no—
1478C2×Q8—1581no—
1479C2×Q8—1581no—
1480C2×Q8—1581no—
1481C2×Q8C23×D7911yescharacteristic
1482C2×Q8C23×D7911yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—41no—
1489C2×D4—41no—
1490C2×D4—82no—
1491C2×D4—3161no—
1492C2×D4—3164no—
1493C2×D4—3164no—
1494C2×D4—3164no—
1495C2×D4—3161no—
1496C2×D4—3161no—
1497C2×D4—3164no—
1498C2×D4—791no—
1499C2×D4—791no—
1500C2×D4—791no—
1501C2×D4—791no—
1502C2×D4—791no—
1503C2×D4—791no—
1504C2×D4—791no—
1505C2×D4—791no—
1506C2×D4—791no—
1507C2×D4—791no—
1508C2×D4—6322no—
1509C2×D4—6322no—
1510C2×D4—1582no—
1511C2×D4—1581no—
1512C2×D4—1581no—
1513C2×D4—1581no—
1514C2×D4—1581no—
1515C2×D4—1581no—
1516C2×D4—1581no—
1517C2×D4—1581no—
1518C2×D4—1581no—
1519C2×D4—1581no—
1520C2×D4—1581no—
1521C2×D4—1582no—
1522C2×D4—1582no—
1523C2×D4—1581no—
1524C2×D4—1581no—
1525C2×D4—1581no—
1526C2×D4—1581no—
1527C2×D4—1581no—
1528C2×D4—1581no—
1529C2×D4—1581no—
1530C2×D4—1581no—
1531C2×D4—1581no—
1532C2×D4—1581no—
1533C2×D4C23×D7911yescharacteristic
1534C2×D4C23×D7911yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—41no—
1539C22×C4—41no—
1540C22×C4—3164no—
1541C22×C4—791no—
1542C22×C4—791no—
1543C22×C4—1581no—
1544C22×C4—1581no—
1545C22×C4—1581no—
1546C22×C4—1581no—
1547C22×C4—1581no—
1548C22×C4—1581no—
1549C22×C4—1581no—
1550C22×C4—1581no—
1551C22×C4—1581no—
1552C22×C4—1581no—
1553C22×C4—1581no—
1554C22×C4—1581no—
1555C22×C4—1581no—
1556C22×C4—1581no—
1557C22×C4D4×D7911yescharacteristic
1558C22×C4D4×D7911yescharacteristic
1559C22×C4D4×D7911yescharacteristic
1560C22×C4C23×D7911yescharacteristic
1561C22×C4C23×D7911yescharacteristic
1562C22×C4C23×D7911yescharacteristic
1563Q16—3161no—
1564Q16—3161no—
1565Q16—3161no—
1566Q16—1582no—
1567Q16—1582no—
1568Q16—1582no—
1569SD16—41no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573SD16—3161no—
1574SD16—3161no—
1575SD16—3161no—
1576SD16—3161no—
1577SD16—3161no—
1578SD16—3161no—
1579SD16—1582no—
1580SD16—1582no—
1581SD16—1582no—
1582SD16—1582no—
1583D8—3161no—
1584D8—3161no—
1585D8—3161no—
1586D8—1582no—
1587M16—41no—
1588M16—41no—
1589M16—3161no—
1590M16—3161no—
1591M16—3161no—
1592M16—3161no—
1593C2×C8—3161no—
1594C2×C8—3161no—
1595C2×C8—791no—
1596C2×C8—791no—
1597C2×C8—791no—
1598C2×C8—791no—
1599C2×C8C23×D7911yescharacteristic
1600C2×C8C23×D7911yescharacteristic
1601C2×C8C23×D7911yescharacteristic
1602C2×C8C23×D7911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—791no—
1610C4⋊C4—791no—
1611C4⋊C4—791no—
1612C4⋊C4—791no—
1613C4⋊C4—791no—
1614C4⋊C4—791no—
1615C4⋊C4—791no—
1616C4⋊C4—791no—
1617C4⋊C4—1581no—
1618C4⋊C4—1581no—
1619C4⋊C4—1581no—
1620C4⋊C4—1581no—
1621C4⋊C4—1581no—
1622C4⋊C4—1581no—
1623C4⋊C4—1581no—
1624C4⋊C4—1581no—
1625C4⋊C4—1581no—
1626C4⋊C4—1581no—
1627C4⋊C4—1581no—
1628C4⋊C4—1581no—
1629C4⋊C4—1581no—
1630C4⋊C4—1581no—
1631C4⋊C4—1581no—
1632C4⋊C4—1581no—
1633C4⋊C4—1581no—
1634C4⋊C4—1581no—
1635C4⋊C4C23×D7911yescharacteristic
1636C4⋊C4C23×D7911yescharacteristic
1637C4⋊C4C23×D7911yescharacteristic
1638C4⋊C4C23×D7911yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—791no—
1648C22⋊C4—791no—
1649C22⋊C4—791no—
1650C22⋊C4—791no—
1651C22⋊C4—791no—
1652C22⋊C4—791no—
1653C22⋊C4—791no—
1654C22⋊C4—791no—
1655C22⋊C4—791no—
1656C22⋊C4—791no—
1657C22⋊C4—1581no—
1658C22⋊C4—1581no—
1659C22⋊C4—1581no—
1660C22⋊C4—1581no—
1661C22⋊C4—1581no—
1662C22⋊C4—1581no—
1663C22⋊C4—1581no—
1664C22⋊C4—1581no—
1665C22⋊C4—1581no—
1666C22⋊C4—1581no—
1667C22⋊C4—1581no—
1668C22⋊C4—1581no—
1669C22⋊C4—1581no—
1670C22⋊C4—1581no—
1671C22⋊C4—1581no—
1672C22⋊C4—1581no—
1673C22⋊C4—1581no—
1674C22⋊C4—1581no—
1675C22⋊C4—1581no—
1676C22⋊C4—1581no—
1677C22⋊C4—1581no—
1678C22⋊C4—1581no—
1679C22⋊C4—1581no—
1680C42—791no—
1681C42—791no—
1682C42—1581no—
1683C42—1581no—
1684C42—1581no—
1685C42—1581no—
1686C42—1581no—
1687C42—1581no—
1688C42—1581no—
1689C23—21no—
1690C23—21no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—42no—
1695C23—81no—
1696C23—81no—
1697C23—3162no—
1698C23—3162no—
1699C23—3162no—
1700C23—3162no—
1701C23—791no—
1702C23—791no—
1703C23—6321no—
1704C23—6321no—
1705C23—6321no—
1706C23—6321no—
1707C23—6321no—
1708C23—1581no—
1709C23—1581no—
1710C23—1581no—
1711C23C2×D4×D7911yescharacteristic
1712C23C2×D4×D7911yescharacteristic
1713C23C2×D4×D7911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—81no—
1719Q8—3162no—
1720Q8—3161no—
1721Q8—792no—
1722Q8—6321no—
1723Q8—6321no—
1724Q8—1581no—
1725Q8—1581no—
1726Q8—1581no—
1727Q8—1581no—
1728Q8—1581no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—81no—
1737D4—81no—
1738D4—3162no—
1739D4—3161no—
1740D4—3162no—
1741D4—3162no—
1742D4—3162no—
1743D4—3162no—
1744D4—3161no—
1745D4—3161no—
1746D4—3161no—
1747D4—3161no—
1748D4—3161no—
1749D4—3161no—
1750D4—3162no—
1751D4—3162no—
1752D4—3162no—
1753D4—3162no—
1754D4—792no—
1755D4—6321no—
1756D4—6321no—
1757D4—6321no—
1758D4—6321no—
1759D4—6321no—
1760D4—6321no—
1761D4—6321no—
1762D4—6321no—
1763D4—6321no—
1764D4—6321no—
1765D4—1584no—
1766D4—1581no—
1767D4—1581no—
1768D4—1581no—
1769D4—1581no—
1770D4—1581no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—81no—
1787C2×C4—81no—
1788C2×C4—81no—
1789C2×C4—3162no—
1790C2×C4—3162no—
1791C2×C4—3162no—
1792C2×C4—3162no—
1793C2×C4—3162no—
1794C2×C4—3162no—
1795C2×C4—791no—
1796C2×C4—791no—
1797C2×C4—791no—
1798C2×C4—791no—
1799C2×C4—791no—
1800C2×C4—791no—
1801C2×C4—6321no—
1802C2×C4—6321no—
1803C2×C4—6321no—
1804C2×C4—6321no—
1805C2×C4—6321no—
1806C2×C4—6321no—
1807C2×C4—6321no—
1808C2×C4—1584no—
1809C2×C4—1581no—
1810C2×C4—1581no—
1811C2×C4—1581no—
1812C2×C4—1581no—
1813C2×C4—1581no—
1814C2×C4—1581no—
1815C2×C4—1581no—
1816C2×C4—1581no—
1817C2×C4—1581no—
1818C2×C4C2×D4×D7911yescharacteristic
1819C2×C4C2×D4×D7911yescharacteristic
1820C2×C4C2×D4×D7911yescharacteristic
1821C2×C4C24×D7911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1581no—
1827C8—1581no—
1828C8—1581no—
1829C8—1581no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—82no—
1846C22—162no—
1847C22—3161no—
1848C22—3161no—
1849C22—3161no—
1850C22—3161no—
1851C22—3161no—
1852C22—3161no—
1853C22—3161no—
1854C22—3161no—
1855C22—6324no—
1856C22—1582no—
1857C22—1581no—
1858C22—1581no—
1859C22—1581no—
1860C22—1581no—
1861C22—1581no—
1862C22—1581no—
1863C22—12642no—
1864C22—12642no—
1865C22C22×D4×D7911yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—3161no—
1876C4—3161no—
1877C4—3161no—
1878C4—3161no—
1879C4—1582no—
1880C4—1581no—
1881C4—1581no—
1882C4—1581no—
1883C4—1581no—
1884C4—1581no—
1885C4—1581no—
1886C4H(5,𝔽2)×D7911yescharacteristic
1887C4H(5,𝔽2)×D7911yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—81no—
1892C2—81no—
1893C2—3162no—
1894C2—3161no—
1895C2—3161no—
1896C2—6321no—
1897C2—6321no—
1898C2#2377703211yescharacteristic
1899C2#2377817611yescharacteristic
1900C2#2377818311yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3193C2
socleC22×C79C23×D4
hypercenter#3193D79
hypocenterC79#61654
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3193

Complements

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

NH ≅ G/Ntype
1. #23777697C2semidirect
2. #23777065C2semidirect
3. #23775736C2semidirect
4. #23775674C2semidirect
5. #23775626C2semidirect
6. #23775604C2semidirect
7. #23775484C2semidirect
8. #23775461C2semidirect
9. #23775416C2semidirect
10. #23775409C2semidirect
11. #23775064C2semidirect
12. #23775054C2semidirect
13. #23775034C2semidirect
14. #23774997C2semidirect
15. #23774988C2semidirect
16. #23774962C2semidirect
17. #23774913C2semidirect
18. #23774902C2semidirect
19. #23774498C2semidirect
20. #23774468C2semidirect
21. #23774304C2semidirect
22. #23774287C2semidirect
23. #23774214C2semidirect
24. #23773665C2semidirect
25. #23773609C2semidirect
26. #23772705C2semidirect
27. #23772672C2semidirect
28. #23772658C2semidirect
29. #23772645C2semidirect
30. #23772460C2semidirect
31. C79×#3193C2semidirect
34. C2×#14579194C22semidirect
35. C2×#14579192C22semidirect
36. C2×#14579192C22semidirect
37. C2×#14579190C22semidirect
38. C2×#14579189C22semidirect
39. C2×#14579188C22semidirect
40. C2×#14579182C22semidirect
41. C2×SD16×D79C22semidirect
44. #19099284C22semidirect
46. #19099268C22semidirect
48. #19099261C22semidirect
49. #19099247C22semidirect
52. Q8×C22⋊D79C22semidirect
53. #19099224C22semidirect
54. #19099223C22semidirect
57. #19099215C22semidirect
66. #19099186C22semidirect
68. #19099173C22semidirect
73. #19099143C22semidirect
75. #19099136C22semidirect
79. #19099074C22semidirect
83. #19098954C22semidirect
84. #19098949C22semidirect
85. #19098944C22semidirect
86. #19098934C22semidirect
87. #19098926C22semidirect
88. #19098921C22semidirect
89. #19098916C22semidirect
90. #19098908C22semidirect
91. #19098906C22semidirect
92. #19098900C22semidirect
93. #19098893C22semidirect
94. #19098890C22semidirect
95. #19098884C22semidirect
96. #19098884C22semidirect
97. #19098878C22semidirect
98. #19098876C22semidirect
99. #19098869C22semidirect
100. #19098866C22semidirect
101. #19098857C22semidirect
102. #19098842C22semidirect
103. #19098820C22semidirect
104. #19098814C22semidirect
105. #19098814C22semidirect
106. #19098812C22semidirect
107. #19098810C22semidirect
108. #19098810C22semidirect
109. #19098807C22semidirect
110. #19098807C22semidirect
111. #19098805C22semidirect
112. #19098803C22semidirect
113. #19098800C22semidirect
114. #19098795C22semidirect
115. #19098788C22semidirect
116. #19098784C22semidirect
117. #19098783C22semidirect
118. #19098783C22semidirect
119. #19098781C22semidirect
120. #19098777C22semidirect
121. #19098772C22semidirect
122. #19098767C22semidirect
123. #19098762C22semidirect
124. #19098761C22semidirect
125. #19098761C22semidirect
126. #19098757C22semidirect
127. #19098728C22semidirect
129. #19098727C22semidirect
130. #19098727C22semidirect
131. #19098727C22semidirect
132. #19098726C22semidirect
135. #19098723C22semidirect
136. #19098723C22semidirect
137. #19098722C22semidirect
138. #19098722C22semidirect
139. #19098720C22semidirect
140. #19098718C22semidirect
141. #19098718C22semidirect
142. #19098715C22semidirect
143. #19098714C22semidirect
144. #19098713C22semidirect
145. #19098713C22semidirect
146. #19098712C22semidirect
147. #19098712C22semidirect
148. #19098711C22semidirect
150. #19098710C22semidirect
151. #19098710C22semidirect
152. #19098710C22semidirect
153. #19098709C22semidirect
154. #19098706C22semidirect
155. #19098706C22semidirect
156. #19098703C22semidirect
157. #19098698C22semidirect
158. #19098697C22semidirect
159. #19098667C22semidirect
160. #19098666C22semidirect
161. #19098662C22semidirect
162. #19098662C22semidirect
163. #19098657C22semidirect
164. #19098655C22semidirect
165. #19098648C22semidirect
166. #19098645C22semidirect
167. #19098639C22semidirect
168. #19098639C22semidirect
169. #19098638C22semidirect
170. #19098638C22semidirect
171. #19098637C22semidirect
172. #19098637C22semidirect
173. #19098632C22semidirect
174. #19098632C22semidirect
175. #19098621C22semidirect
176. #19098621C22semidirect
177. #19098573C22semidirect
178. #19098569C22semidirect
179. #19098566C22semidirect
180. #19098562C22semidirect
181. #19098562C22semidirect
182. #19098561C22semidirect
183. #19098556C22semidirect
184. #102×D79C22semidirect
185. #19098528C22semidirect
186. #19098528C22semidirect
187. #19098527C22semidirect
188. C2×C22⋊Q8×C79C22semidirect
190. #484×C79C22semidirect
191. #484×C79C22semidirect
192. #480×C79C22semidirect
193. #480×C79C22semidirect
194. #468×C79C22semidirect
195. #468×C79C22semidirect
196. #468×C79C22semidirect
197. #468×C79C22semidirect
198. #450×C79C22semidirect
199. #450×C79C22semidirect
200. #448×C79C22semidirect
201. #448×C79C22semidirect
202. #407×C79C22semidirect
974. #3193D79semidirect
982. C79#61654semidirect
1032. C2×C22⋊Q8C2×D79semidirect
1046. #484C2×D79semidirect
1047. #484C2×D79semidirect
1054. #480C2×D79semidirect
1055. #480C2×D79semidirect
1068. #468C2×D79semidirect
1069. #468C2×D79semidirect
1070. #468C2×D79semidirect
1071. #468C2×D79semidirect
1109. #450C2×D79semidirect
1110. #450C2×D79semidirect
1120. #448C2×D79semidirect
1121. #448C2×D79semidirect
1153. #407C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237776972
#237770652
#237757362
#237756742
#237756262
#237756042
#237754842
#237754612
#237754162
#237754092
#237750642
#237750542
#237750342
#237749972
#237749882
#237749622
#237749132
#237749022
#237744982
#237744682
#237743042
#237742872
#237742142
#237736652
#237736092
#237727052
#237726722
#237726582
#237726452
#237724602
C79×#31932
#6165479