Finite Group Databasebeta

← #35173862

Subgroups — #35173862

Order 20224.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777694C211yesmaximal, characteristic, complemented
2#23777028C211yesmaximal, characteristic, complemented
3#23775630C211yesmaximal, characteristic, complemented
4#23775619C211yesmaximal, characteristic, complemented
5#23775539C211yesmaximal, characteristic, complemented
6#23775475C211yesmaximal, characteristic, complemented
7#23775433C211yesmaximal, characteristic, complemented
8#23775417C211yesmaximal, characteristic, complemented
9#23775246C211yesmaximal, characteristic, complemented
10#23775112C211yesmaximal, characteristic, complemented
11#23775093C211yesmaximal, characteristic, complemented
12#23775033C211yesmaximal, characteristic, complemented
13#23774998C211yesmaximal, characteristic, complemented
14#23774922C211yesmaximal, characteristic, complemented
15#23774914C211yesmaximal, characteristic, complemented
16#23774891C211yesmaximal, characteristic, complemented
17#23774890C211yesmaximal, characteristic, complemented
18#23774497C211yesmaximal, characteristic, complemented
19#23774471C211yesmaximal, characteristic, complemented
20#23774266C211yesmaximal, characteristic, complemented
21#23774257C211yesmaximal, characteristic, complemented
22#23774229C211yesmaximal, characteristic, complemented
23#23774189C211yesmaximal, characteristic, complemented
24#23773649C211yesmaximal, characteristic, complemented
25#23773589C211yesmaximal, characteristic, complemented
26#23772709C211yesmaximal, characteristic, complemented
27#23772672C211yesmaximal, characteristic, complemented
28#23772628C211yesmaximal, characteristic, complemented
29C2×#19098715C211yesmaximal, characteristic, complemented
30#23772442C211yesmaximal, characteristic, complemented
31C79×#3295C211yesmaximal, characteristic, complemented
32C2×#14579206C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34C2×#14579190C2211yescharacteristic, complemented
35C2×#14579188C2211yescharacteristic, complemented
36C2×#14579188C2211yescharacteristic, complemented
37C2×#14579187C2211yescharacteristic, complemented
38C2×#14579183C2211yescharacteristic, complemented
39C22×#11929613C2211yescharacteristic, complemented
40C22×#11929612C2211yescharacteristic, complemented
41C2×SD16×D79C2211yescharacteristic, complemented
42#19099317—21no—
43#19099309—21no—
44#19099287C2211yescharacteristic, complemented
45#19099271—21no—
46#19099261C2211yescharacteristic, complemented
47#19099259—21no—
48#19099248C2211yescharacteristic, complemented
49#19099226C2211yescharacteristic, complemented
50#19099225C2211yescharacteristic, complemented
51#19099222C2211yescharacteristic, complemented
52#19099215C2211yescharacteristic, complemented
53#19099210C2211yescharacteristic
54#19099209C2211yescharacteristic
55#19099208C2211yescharacteristic
56#19099207C2211yescharacteristic
57#19099202—21no—
58#19099200—21no—
59#19099198C2211yescharacteristic
60#19099197C2211yescharacteristic
61D4×C22⋊D79—21no—
62D4×C22⋊D79C2211yescharacteristic
63#19099195—21no—
64#19099187C2211yescharacteristic, complemented
65#19099186—21no—
66#19099171C2211yescharacteristic, complemented
67#19099161—21no—
68#19099153—21no—
69#19099146—21no—
70#19099144C2211yescharacteristic, complemented
71#19099136C2211yescharacteristic, complemented
72#19099129C2211yescharacteristic
73#19099126C2211yescharacteristic
74#19099123—21no—
75#19099121—21no—
76#19099076C2211yescharacteristic, complemented
77#19099073C2211yescharacteristic
78#19099072C2211yescharacteristic
79C2×#14579141C2211yescharacteristic, complemented
80C2×#14579129—21no—
81#120×D79—21no—
82#19099035C2211yescharacteristic
83#19098954C2211yescharacteristic, complemented
84#19098950C2211yescharacteristic, complemented
85#19098947C2211yescharacteristic, complemented
86#19098934C2211yescharacteristic, complemented
87#19098926C2211yescharacteristic, complemented
88#19098925C2211yescharacteristic, complemented
89#19098916C2211yescharacteristic, complemented
90#19098907C2211yescharacteristic, complemented
91#19098907C2211yescharacteristic, complemented
92#19098907C2211yescharacteristic, complemented
93#19098902C2211yescharacteristic, complemented
94#19098898C2211yescharacteristic, complemented
95#19098889C2211yescharacteristic, complemented
96#19098889C2211yescharacteristic, complemented
97#19098886C2211yescharacteristic, complemented
98#19098886C2211yescharacteristic, complemented
99#19098876C2211yescharacteristic, complemented
100#19098865C2211yescharacteristic, complemented
101#19098862C2211yescharacteristic, complemented
102#19098840C2211yescharacteristic, complemented
103#19098822C2211yescharacteristic, complemented
104#19098822C2211yescharacteristic, complemented
105#19098817C2211yescharacteristic, complemented
106#19098811C2211yescharacteristic, complemented
107#19098808C2211yescharacteristic, complemented
108#19098808C2211yescharacteristic, complemented
109#19098808C2211yescharacteristic, complemented
110#19098807C2211yescharacteristic, complemented
111#19098802C2211yescharacteristic, complemented
112#19098798C2211yescharacteristic, complemented
113#19098797C2211yescharacteristic, complemented
114#19098793C2211yescharacteristic, complemented
115#19098792C2211yescharacteristic, complemented
116#19098792C2211yescharacteristic, complemented
117#19098786C2211yescharacteristic, complemented
118#19098785C2211yescharacteristic, complemented
119#19098784C2211yescharacteristic, complemented
120#19098779C2211yescharacteristic, complemented
121#19098778C2211yescharacteristic, complemented
122#19098777C2211yescharacteristic, complemented
123#19098767C2211yescharacteristic, complemented
124#19098766C2211yescharacteristic, complemented
125#19098762C2211yescharacteristic, complemented
126#19098760C2211yescharacteristic, complemented
127#19098757C2211yescharacteristic, complemented
128#19098728C2211yescharacteristic, complemented
129#19098727C2211yescharacteristic, complemented
130#19098726C2211yescharacteristic, complemented
131#19098726C2211yescharacteristic, complemented
132#19098726C2211yescharacteristic, complemented
133#19098723C2211yescharacteristic, complemented
134#19098722C2211yescharacteristic, complemented
135#19098721C2211yescharacteristic, complemented
136#19098715C2211yescharacteristic
137#19098715C2211yescharacteristic
138#19098715C2211yescharacteristic, complemented
139#19098715C2211yescharacteristic, complemented
140#19098715C2211yescharacteristic, complemented
141#19098715C2211yescharacteristic, complemented
142#19098715C2211yescharacteristic, complemented
143#19098715C2211yescharacteristic, complemented
144#19098715C2211yescharacteristic, complemented
145#19098714C2211yescharacteristic, complemented
146#19098713C2211yescharacteristic, complemented
147#19098712C2211yescharacteristic
148#19098712C2211yescharacteristic, complemented
149#19098710C2211yescharacteristic, complemented
150#19098709C2211yescharacteristic, complemented
151#19098709C2211yescharacteristic, complemented
152#19098707C2211yescharacteristic, complemented
153#19098706C2211yescharacteristic, complemented
154#19098703C2211yescharacteristic, complemented
155#19098701C2211yescharacteristic, complemented
156#19098700C2211yescharacteristic, complemented
157#19098699C2211yescharacteristic, complemented
158#19098698C2211yescharacteristic
159#19098698C2211yescharacteristic, complemented
160#19098698C2211yescharacteristic, complemented
161#19098697C2211yescharacteristic, complemented
162#19098674C2211yescharacteristic, complemented
163#19098663C2211yescharacteristic, complemented
164#19098661C2211yescharacteristic, complemented
165#19098660C2211yescharacteristic, complemented
166C4×#11929613C2211yescharacteristic, complemented
167#19098650C2211yescharacteristic, complemented
168#19098643C2211yescharacteristic, complemented
169#19098642C2211yescharacteristic, complemented
170#19098638C2211yescharacteristic, complemented
171#19098635C2211yescharacteristic, complemented
172#19098634C2211yescharacteristic, complemented
173#19098633C2211yescharacteristic, complemented
174#19098631C2211yescharacteristic, complemented
175C8×C22⋊D79C2211yescharacteristic, complemented
176#19098623C2211yescharacteristic, complemented
177#19098622C2211yescharacteristic, complemented
178#19098566C2211yescharacteristic, complemented
179#19098566C2211yescharacteristic, complemented
180#19098566C2211yescharacteristic, complemented
181#19098562C2211yescharacteristic, complemented
182#19098556C2211yescharacteristic, complemented
183C2×#14579081C2211yescharacteristic, complemented
184#19098529C2211yescharacteristic, complemented
185#19098528C2211yescharacteristic, complemented
186#19098525C2211yescharacteristic, complemented
187C2×(C2×D79)⋊C8C2211yescharacteristic, complemented
188#554×C79C2211yescharacteristic, complemented
189D42×C79C2211yescharacteristic
190#486×C79C2211yescharacteristic, complemented
191#481×C79C2211yescharacteristic, complemented
192#481×C79C2211yescharacteristic, complemented
193#476×C79C2211yescharacteristic, complemented
194#465×C79C2211yescharacteristic, complemented
195#465×C79C2211yescharacteristic, complemented
196#460×C79C2211yescharacteristic, complemented
197#450×C79C2211yescharacteristic, complemented
198#450×C79C2211yescharacteristic, complemented
199C4×SD16×C79C2211yescharacteristic, complemented
200C8×D4×C79C2211yescharacteristic, complemented
201C2×#102×C79C2211yescharacteristic, complemented
202C2×#102×C79C2211yescharacteristic, complemented
203C24×D79—21no—
204#14579206—42no—
205#14579206—42no—
206C2×#11929625C2311yescharacteristic
207C2×#11929624C2311yescharacteristic
208C2×#11929624C2311yescharacteristic
209C2×#11929624C2311yescharacteristic, complemented
210C2×#11929623—21no—
211C2×#11929623C2311yescharacteristic
212C2×#11929623C2311yescharacteristic
213C22×Dic158C2311yescharacteristic
214C2×Q8×D79C2311yescharacteristic, complemented
215C22×D316C2311yescharacteristic
216C22×C22⋊D79—21no—
217C22×C22⋊D79—21no—
218C22×C22⋊D79—21no—
219C22×C22⋊D79—21no—
220C2×D4×D79—21no—
221C2×D4×D79—21no—
222C2×D4×D79—21no—
223C2×D4×D79—21no—
224C2×D4×D79—21no—
225C2×D4×D79—42no—
226C2×D4×D79—42no—
227C2×D4×D79C2311yescharacteristic
228C2×D4×D79C2311yescharacteristic
229C2×D4×D79C2311yescharacteristic
230C2×D4×D79C2311yescharacteristic
231C2×D4×D79C2311yescharacteristic
232C22×C4×D79C2311yescharacteristic
233#14579190—42no—
234#14579188—42no—
235#14579188—42no—
236#14579187—42no—
237#14579183—42no—
238C2×Dic316C2311yescharacteristic, complemented
239C2×Dic316C2311yescharacteristic, complemented
240C2×#11929614C2311yescharacteristic, complemented
241C2×#11929613—42no—
242C2×#11929613C2311yescharacteristic
243C2×#11929613C2311yescharacteristic
244C2×#11929613C2311yescharacteristic
245C2×#11929613C2311yescharacteristic
246C2×#11929613C2311yescharacteristic, complemented
247C2×#11929612—42no—
248C2×#11929612C2311yescharacteristic
249C2×#11929612C2311yescharacteristic
250C2×#11929612C2311yescharacteristic
251C2×#11929612C2311yescharacteristic
252C2×#11929612C2311yescharacteristic, complemented
253C2×#11929612C2311yescharacteristic, complemented
254C2×#11929611C2311yescharacteristic
255C2×#11929611C2311yescharacteristic
256SD16×D79—42no—
257C2×D632C2311yescharacteristic
258C2×D632C2311yescharacteristic
259C2×#11929609C2311yescharacteristic
260C2×#11929609C2311yescharacteristic
261C2×#11929609C2311yescharacteristic, complemented
262C2×#11929608C2311yescharacteristic, complemented
263C2×#11929607C2311yescharacteristic
264C2×#11929607C2311yescharacteristic
265C2×#11929607C2311yescharacteristic, complemented
266C22×C79⋊C8C2311yescharacteristic
267C2×C8×D79C2311yescharacteristic, complemented
268#14579160—21no—
269#14579160—21no—
270#14579159C2311yescharacteristic, complemented
271#14579157—21no—
272#14579157C2311yescharacteristic
273#14579156—21no—
274#14579156—21no—
275#14579156—21no—
276#14579156—21no—
277#14579156—21no—
278#14579156—21no—
279#14579155—21no—
280#14579153—21no—
281#14579152C2311yescharacteristic, complemented
282#14579151—21no—
283#14579151—21no—
284#14579150—21no—
285#14579150—21no—
286#14579149—21no—
287#14579149C2311yescharacteristic
288#14579149C2311yescharacteristic, complemented
289#14579148C2311yescharacteristic
290#14579147—21no—
291#14579147—21no—
292#14579147—21no—
293#14579146—21no—
294#14579146—21no—
295#14579146—21no—
296#14579146—21no—
297#14579146—21no—
298#14579146—21no—
299#14579146D411yescharacteristic
300#14579145—21no—
301#14579144—21no—
302#14579143—21no—
303#14579143—21no—
304#14579143—21no—
305#14579143—21no—
306#14579143D411yescharacteristic
307#14579142—21no—
308#14579141—21no—
309#14579141—21no—
310#14579141—21no—
311#14579141—21no—
312#14579141C2311yescharacteristic
313#14579141C2311yescharacteristic
314#14579141C2311yescharacteristic
315#14579141C2311yescharacteristic
316#14579141C2311yescharacteristic
317#14579141C2311yescharacteristic, complemented
318#14579140C2311yescharacteristic
319#14579140C2311yescharacteristic, complemented
320#14579139—21no—
321#14579139—21no—
322#14579139D411yescharacteristic
323#14579138—21no—
324#14579138D411yescharacteristic
325#14579137—21no—
326#14579137C2311yescharacteristic
327#14579136—21no—
328#14579136—21no—
329#14579136C2311yescharacteristic
330#14579136C2311yescharacteristic
331#14579136C2311yescharacteristic, complemented
332#14579135—21no—
333#14579135—21no—
334#14579135—21no—
335#14579135—21no—
336#14579135C2311yescharacteristic
337#14579135C2311yescharacteristic
338#14579134—21no—
339#14579134—21no—
340#14579134—21no—
341#14579134D411yescharacteristic
342#14579133—21no—
343#14579133—21no—
344#14579133—21no—
345#14579133—21no—
346#14579133—21no—
347#14579133D411yescharacteristic
348#14579132—21no—
349#14579132—21no—
350#14579132C2311yescharacteristic
351#14579132C2311yescharacteristic
352#14579131—21no—
353#14579131—21no—
354#14579131—21no—
355#14579131—21no—
356#14579131D411yescharacteristic
357#14579130—21no—
358#14579130—21no—
359#14579129—21no—
360#14579129—21no—
361#14579129—21no—
362#14579129—21no—
363#14579129—21no—
364#14579129—21no—
365#14579129—21no—
366#14579129—21no—
367#14579129—21no—
368#14579129—21no—
369#14579129D411yescharacteristic
370Q8×Dic79—21no—
371C4×Dic158C2311yescharacteristic, complemented
372#14579126C2311yescharacteristic, complemented
373C4×D316—21no—
374C4×D316C2311yescharacteristic
375C4×D316C2311yescharacteristic
376D4×Dic79—21no—
377D4×Dic79C2311yescharacteristic
378#14579123—21no—
379#14579123C2311yescharacteristic
380#14579123C2311yescharacteristic, complemented
381C4×C22⋊D79—21no—
382C4×C22⋊D79—21no—
383C4×C22⋊D79C2311yescharacteristic
384C4×C22⋊D79C2311yescharacteristic
385(C22⋊D79)⋊C4—21no—
386(C22⋊D79)⋊C4—21no—
387(C22⋊D79)⋊C4—21no—
388(C22⋊D79)⋊C4—21no—
389(C22⋊D79)⋊C4—21no—
390#14579120—21no—
391#14579119C2311yescharacteristic
392#14579119C2311yescharacteristic
393#14579119C2311yescharacteristic, complemented
394#14579118C2311yescharacteristic
395C2×C4⋊Dic79—21no—
396C4⋊C4×D79—21no—
397C2×C22⋊Dic79—21no—
398C2×(C2×D79)⋊C4—21no—
399C2×(C2×D79)⋊C4—21no—
400C2×(C2×D79)⋊C4—21no—
401C22⋊C4×D79—21no—
402C22⋊C4×D79—21no—
403C22⋊C4×D79—21no—
404#14579094C2311yescharacteristic, complemented
405#14579094C2311yescharacteristic, complemented
406#14579094C2311yescharacteristic, complemented
407#14579094C2311yescharacteristic, complemented
408#14579093C2311yescharacteristic, complemented
409C4⋊(C79⋊C8)C2311yescharacteristic, complemented
410Dic79⋊C8C2311yescharacteristic, complemented
411Dic79⋊C8C2311yescharacteristic, complemented
412#14579086C2311yescharacteristic, complemented
413#14579086C2311yescharacteristic, complemented
414#14579086C2311yescharacteristic, complemented
415#14579085C2311yescharacteristic, complemented
416#14579084C2311yescharacteristic, complemented
417#14579084C2311yescharacteristic, complemented
418#14579084C2311yescharacteristic, complemented
419#14579084C2311yescharacteristic, complemented
420#14579084C2311yescharacteristic, complemented
421#14579083C2311yescharacteristic
422#14579083C2311yescharacteristic
423#14579083C2311yescharacteristic, complemented
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic, complemented
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432#14579081C2311yescharacteristic
433#14579081C2311yescharacteristic, complemented
434C22⋊(C79⋊C8)C2311yescharacteristic
435C22⋊(C79⋊C8)C2311yescharacteristic, complemented
436(C2×D79)⋊C8C2311yescharacteristic
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439(C2×D79)⋊C8C2311yescharacteristic
440(C2×D79)⋊C8C2311yescharacteristic
441(C2×D79)⋊C8C2311yescharacteristic
442(C2×D79)⋊C8C2311yescharacteristic, complemented
443(C2×D79)⋊C8C2311yescharacteristic, complemented
444#14579072C2311yescharacteristic, complemented
445#14579071C2311yescharacteristic, complemented
446C8×Dic79C2311yescharacteristic, complemented
447C22×D4×C79—21no—
448C22×D4×C79C2311yescharacteristic
449C22×D4×C79C2311yescharacteristic
450C2×SD16×C79C2311yescharacteristic
451C2×SD16×C79C2311yescharacteristic
452C2×SD16×C79C2311yescharacteristic, complemented
453C22×C8×C79C2311yescharacteristic
454C22×C8×C79C2311yescharacteristic, complemented
455C4⋊Q8×C79C2311yescharacteristic, complemented
456#127×C79C2311yescharacteristic
457#125×C79—21no—
458C22⋊Q8×C79—21no—
459C22⋊Q8×C79—21no—
460C22⋊Q8×C79C2311yescharacteristic
461C22⋊Q8×C79C2311yescharacteristic, complemented
462#121×C79—21no—
463#121×C79C2311yescharacteristic
464#121×C79C2311yescharacteristic
465#120×C79—21no—
466#120×C79—21no—
467C4×Q8×C79C2311yescharacteristic, complemented
468C4×D4×C79—21no—
469C4×D4×C79C2311yescharacteristic
470C4×D4×C79C2311yescharacteristic
471C2×C4⋊C4×C79C2311yescharacteristic
472C2×C4⋊C4×C79C2311yescharacteristic, complemented
473#106×C79C2311yescharacteristic, complemented
474#106×C79C2311yescharacteristic, complemented
475#106×C79C2311yescharacteristic, complemented
476C4⋊C8×C79C2311yescharacteristic, complemented
477#103×C79C2311yescharacteristic, complemented
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481#102×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484#102×C79C2311yescharacteristic, complemented
485#102×C79C2311yescharacteristic, complemented
486#102×C79C2311yescharacteristic, complemented
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic, complemented
489C4×C8×C79C2311yescharacteristic, complemented
490C23×D79—21no—
491C23×D79—21no—
492C23×D79—21no—
493C23×D79—21no—
494C23×D79—21no—
495C23×D79—21no—
496C23×D79—44no—
497C23×D79—82no—
498C23×D79—82no—
499C23×D79C2×D411yescharacteristic
500#11929625—41no—
501#11929625—41no—
502#11929624—22no—
503#11929624—41no—
504#11929624—41no—
505#11929624—41no—
506#11929624—41no—
507#11929624—41no—
508#11929623—22no—
509#11929623—44no—
510#11929623—41no—
511#11929623—41no—
512#11929623—41no—
513C2×Dic158—21no—
514C2×Dic158—21no—
515C2×Dic158—41no—
516C2×Dic158—41no—
517C2×Dic158C2×D411yescharacteristic
518C2×Dic158C2411yescharacteristic
519C2×Dic158C2411yescharacteristic
520C2×Dic158C2411yescharacteristic
521Q8×D79—41no—
522Q8×D79—41no—
523C2×D316—21no—
524C2×D316—21no—
525C2×D316—21no—
526C2×D316—21no—
527C2×D316—22no—
528C2×D316—21no—
529C2×D316—41no—
530C2×D316C2×D411yescharacteristic
531C2×D316C2×D411yescharacteristic
532C2×D316C2411yescharacteristic
533C2×D316C2411yescharacteristic
534C2×D316C2411yescharacteristic
535C2×C22⋊D79—21no—
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—44no—
551C2×C22⋊D79—44no—
552C2×C22⋊D79—44no—
553C2×C22⋊D79—82no—
554C2×C22⋊D79C2×D411yescharacteristic
555C2×C22⋊D79C2×D411yescharacteristic
556C2×C22⋊D79C2×D411yescharacteristic
557C2×C22⋊D79C2×D411yescharacteristic
558D4×D79—22no—
559D4×D79—22no—
560D4×D79—22no—
561D4×D79—22no—
562D4×D79—22no—
563D4×D79—44no—
564D4×D79—41no—
565D4×D79—41no—
566D4×D79—41no—
567D4×D79—41no—
568D4×D79—41no—
569D4×D79—44no—
570D4×D79—44no—
571D4×D79—82no—
572D4×D79—82no—
573C22×Dic79—21no—
574C22×Dic79—21no—
575C22×Dic79—21no—
576C22×Dic79—21no—
577C22×Dic79C2×D411yescharacteristic
578C2×C4×D79—21no—
579C2×C4×D79—21no—
580C2×C4×D79—21no—
581C2×C4×D79—21no—
582C2×C4×D79—21no—
583C2×C4×D79—21no—
584C2×C4×D79—21no—
585C2×C4×D79—41no—
586C2×C4×D79—41no—
587C2×C4×D79C2×D411yescharacteristic
588C2×C4×D79C2×D411yescharacteristic
589C2×C4×D79C2411yescharacteristic
590C2×C4×D79C2411yescharacteristic
591C2×C4×D79C2411yescharacteristic
592Dic316—41no—
593Dic316—41no—
594#11929614—41no—
595#11929613—22no—
596#11929613—22no—
597#11929613—41no—
598#11929613—41no—
599#11929613—41no—
600#11929612—22no—
601#11929612—22no—
602#11929612—41no—
603#11929612—41no—
604#11929612—41no—
605#11929612—41no—
606#11929611—22no—
607#11929611—41no—
608D632—22no—
609D632—41no—
610#11929609—22no—
611#11929609—41no—
612#11929609—41no—
613#11929608—41no—
614#11929607—41no—
615#11929607—41no—
616#11929607—41no—
617C2×C79⋊C8—41no—
618C2×C79⋊C8C2411yescharacteristic
619C2×C79⋊C8C2411yescharacteristic
620C2×C79⋊C8C2411yescharacteristic
621C2×C79⋊C8C2411yescharacteristic
622C8×D79—41no—
623C4⋊Dic79—21no—
624C4⋊Dic79—21no—
625C4⋊Dic79—21no—
626C4⋊Dic79—21no—
627C4⋊Dic79—21no—
628C4⋊Dic79—21no—
629C4⋊Dic79—21no—
630C4⋊Dic79C2×D411yescharacteristic
631C4⋊Dic79C2411yescharacteristic
632C4⋊Dic79C2411yescharacteristic
633Dic79⋊C4—21no—
634Dic79⋊C4—21no—
635Dic79⋊C4—21no—
636Dic79⋊C4—21no—
637Dic79⋊C4—21no—
638Dic79⋊C4—21no—
639Dic79⋊C4—21no—
640Dic79⋊C4—21no—
641Dic79⋊C4C2×D411yescharacteristic
642Dic79⋊C4C2×D411yescharacteristic
643Dic79⋊C4C2×D411yescharacteristic
644Dic79⋊C4C2×D411yescharacteristic
645C22⋊Dic79—21no—
646C22⋊Dic79—21no—
647C22⋊Dic79—21no—
648C22⋊Dic79—21no—
649C22⋊Dic79—21no—
650C22⋊Dic79—21no—
651C22⋊Dic79—21no—
652C22⋊Dic79C2×D411yescharacteristic
653C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
670(C2×D79)⋊C4—21no—
671(C2×D79)⋊C4—21no—
672(C2×D79)⋊C4—21no—
673(C2×D79)⋊C4—21no—
674(C2×D79)⋊C4—21no—
675(C2×D79)⋊C4—21no—
676(C2×D79)⋊C4C2×D411yescharacteristic
677(C2×D79)⋊C4C2×D411yescharacteristic
678(C2×D79)⋊C4C2×D411yescharacteristic
679(C2×D79)⋊C4C2×D411yescharacteristic
680(C2×D79)⋊C4C2×D411yescharacteristic
681(C2×D79)⋊C4C2×D411yescharacteristic
682C4×Dic79—21no—
683C4×Dic79—21no—
684C4×Dic79—21no—
685C4×Dic79—21no—
686C4×Dic79—21no—
687C4×Dic79C2411yescharacteristic
688C24×C79—21no—
689C24×C79—21no—
690C2×Q8×C79—21no—
691C2×Q8×C79C2411yescharacteristic
692C2×D4×C79—22no—
693C2×D4×C79—22no—
694C2×D4×C79—21no—
695C2×D4×C79—21no—
696C2×D4×C79—21no—
697C2×D4×C79—21no—
698C2×D4×C79—21no—
699C2×D4×C79—21no—
700C2×D4×C79—41no—
701C2×D4×C79—41no—
702C2×D4×C79—82no—
703C2×D4×C79C2×D411yescharacteristic
704C2×D4×C79C2411yescharacteristic
705C2×D4×C79C2411yescharacteristic
706C2×D4×C79C2411yescharacteristic
707C22×C4×C79—21no—
708C22×C4×C79—21no—
709C22×C4×C79—21no—
710C22×C4×C79C2411yescharacteristic
711C22×C4×C79C2411yescharacteristic
712SD16×C79—22no—
713SD16×C79—41no—
714SD16×C79—41no—
715C2×C8×C79—41no—
716C2×C8×C79—41no—
717C2×C8×C79C2411yescharacteristic
718C2×C8×C79C2411yescharacteristic
719C2×C8×C79C2411yescharacteristic
720C2×C8×C79C2411yescharacteristic
721C4⋊C4×C79—21no—
722C4⋊C4×C79—21no—
723C4⋊C4×C79—21no—
724C4⋊C4×C79—21no—
725C4⋊C4×C79—21no—
726C4⋊C4×C79—21no—
727C4⋊C4×C79C2×D411yescharacteristic
728C4⋊C4×C79C2411yescharacteristic
729C4⋊C4×C79C2411yescharacteristic
730C4⋊C4×C79C2411yescharacteristic
731C4⋊C4×C79C2411yescharacteristic
732C22⋊C4×C79—21no—
733C22⋊C4×C79—21no—
734C22⋊C4×C79—21no—
735C22⋊C4×C79—21no—
736C22⋊C4×C79—21no—
737C22⋊C4×C79C2×D411yescharacteristic
738C22⋊C4×C79C2×D411yescharacteristic
739C42×C79—21no—
740C42×C79C2411yescharacteristic
741C23×C79—21no—
742C23×C79—21no—
743C23×C79—21no—
744C23×C79—42no—
745C23×C79—42no—
746C23×C79—42no—
747C23×C79—81no—
748C23×C79—81no—
749C23×C79—81no—
750C23×C79C22×D411yescharacteristic
751C23×C79C22×D411yescharacteristic
752C22×D79—22no—
753C22×D79—21no—
754C22×D79—24no—
755C22×D79—21no—
756C22×D79—21no—
757C22×D79—41no—
758C22×D79—41no—
759C22×D79—42no—
760C22×D79—42no—
761C22×D79—42no—
762C22×D79—42no—
763C22×D79—42no—
764C22×D79—42no—
765C22×D79—42no—
766C22×D79—42no—
767C22×D79—81no—
768C22×D79—81no—
769C22×D79—81no—
770C22×D79—81no—
771C22×D79—81no—
772C22×D79—81no—
773C22×D79—81no—
774C22×D79—81no—
775C22×D79—81no—
776C22×D79—816no—
777C22×D79C22×D411yescharacteristic
778C22×D79C22×D411yescharacteristic
779C22×D79C22×D411yescharacteristic
780Q8×C79—21no—
781Q8×C79—21no—
782Q8×C79—81no—
783D4×C79—22no—
784D4×C79—21no—
785D4×C79—21no—
786D4×C79—21no—
787D4×C79—21no—
788D4×C79—21no—
789D4×C79—42no—
790D4×C79—42no—
791D4×C79—42no—
792D4×C79—81no—
793D4×C79—81no—
794D4×C79—81no—
795D4×C79H(5,𝔽2)12yes—
796C2×C4×C79—21no—
797C2×C4×C79—21no—
798C2×C4×C79—21no—
799C2×C4×C79—21no—
800C2×C4×C79—21no—
801C2×C4×C79—21no—
802C2×C4×C79—21no—
803C2×C4×C79—21no—
804C2×C4×C79—21no—
805C2×C4×C79—81no—
806C2×C4×C79—81no—
807C2×C4×C79—81no—
808C2×C4×C79C22×D411yescharacteristic
809C2×C4×C79C22×D411yescharacteristic
810C2×C4×C79C22×D411yescharacteristic
811C2×C4×C79C22×D411yescharacteristic
812C2×C4×C79C2511yescharacteristic
813C22⋊D79—24no—
814C22⋊D79—22no—
815C22⋊D79—41no—
816C22⋊D79—41no—
817C22⋊D79—41no—
818C22⋊D79—42no—
819C22⋊D79—42no—
820C22⋊D79—42no—
821C22⋊D79—42no—
822C22⋊D79—42no—
823C22⋊D79—42no—
824C22⋊D79—42no—
825C22⋊D79—42no—
826C22⋊D79—42no—
827C22⋊D79—81no—
828C22⋊D79—81no—
829C22⋊D79—81no—
830C22⋊D79—81no—
831C22⋊D79—81no—
832C2×Dic79—21no—
833C2×Dic79—21no—
834C2×Dic79—21no—
835C2×Dic79—21no—
836C2×Dic79—21no—
837C2×Dic79—41no—
838C2×Dic79—42no—
839C2×Dic79—42no—
840C2×Dic79—81no—
841C2×Dic79—81no—
842C2×Dic79C22×D411yescharacteristic
843C2×Dic79C22×D411yescharacteristic
844C2×Dic79C22×D411yescharacteristic
845C2×Dic79C22×D411yescharacteristic
846C2×Dic79C22×D411yescharacteristic
847D316—21no—
848D316—21no—
849D316—21no—
850D316—21no—
851D316—21no—
852D316—41no—
853D316—41no—
854D316—42no—
855D316—81no—
856D316—81no—
857D316—81no—
858D316—81no—
859D316H(5,𝔽2)12yes—
860C4×D79—21no—
861C4×D79—21no—
862C4×D79—21no—
863C4×D79—21no—
864C4×D79—21no—
865C4×D79—21no—
866C4×D79—41no—
867C4×D79—41no—
868C4×D79—42no—
869C4×D79—81no—
870C4×D79—81no—
871C4×D79—81no—
872C4×D79—81no—
873C4×D79—81no—
874C4×D79—81no—
875Dic158—21no—
876Dic158—21no—
877Dic158—21no—
878Dic158—21no—
879Dic158—21no—
880Dic158—21no—
881Dic158—41no—
882Dic158—81no—
883Dic158—81no—
884C8×C79—21no—
885C8×C79—21no—
886C8×C79—21no—
887C8×C79—21no—
888C79⋊C8—21no—
889C79⋊C8—21no—
890C79⋊C8—21no—
891C79⋊C8—21no—
892C22×C79—21no—
893C22×C79—21no—
894C22×C79—21no—
895C22×C79—22no—
896C22×C79—21no—
897C22×C79—21no—
898C22×C79—41no—
899C22×C79—41no—
900C22×C79—41no—
901C22×C79—41no—
902C22×C79—41no—
903C22×C79—41no—
904C22×C79—41no—
905C22×C79—41no—
906C22×C79—84no—
907C22×C79—162no—
908C22×C79#57712yes—
909C22×C79C23×D411yescharacteristic
910C2×D79—21no—
911C2×D79—21no—
912C2×D79—21no—
913C2×D79—22no—
914C2×D79—21no—
915C2×D79—21no—
916C2×D79—21no—
917C2×D79—21no—
918C2×D79—21no—
919C2×D79—21no—
920C2×D79—44no—
921C2×D79—41no—
922C2×D79—41no—
923C2×D79—41no—
924C2×D79—41no—
925C2×D79—41no—
926C2×D79—41no—
927C2×D79—41no—
928C2×D79—41no—
929C2×D79—84no—
930C2×D79—84no—
931C2×D79—84no—
932C2×D79—84no—
933C2×D79—84no—
934C2×D79—162no—
935C4×C79—21no—
936C4×C79—21no—
937C4×C79—21no—
938C4×C79—21no—
939C4×C79—41no—
940C4×C79—41no—
941C4×C79—41no—
942C4×C79—41no—
943C4×C79—41no—
944C4×C79C2×H(5,𝔽2)11yescharacteristic
945C4×C79C2×H(5,𝔽2)11yescharacteristic
946Dic79—21no—
947Dic79—21no—
948Dic79—21no—
949Dic79—21no—
950Dic79—21no—
951Dic79—41no—
952Dic79—41no—
953Dic79—41no—
954Dic79—41no—
955Dic79—41no—
956#61610—791nomaximal, Sylow
957C2×C79—22no—
958C2×C79—42no—
959C2×C79—41no—
960C2×C79—81no—
961C2×C79—81no—
962C2×C79#348411yescharacteristic
963C2×C79C2×#57711yescharacteristic
964C2×C79#358511yescharacteristic
965D79—41no—
966D79—41no—
967D79—41no—
968D79—42no—
969D79—81no—
970D79—81no—
971#3541—791no—
972#3484—791no—
973#3324—791no—
974#3323—791no—
975#3318—791no—
976#3314—791no—
977#3311—791no—
978#3310—791no—
979#3297—791no—
980#3295D7911yescharacteristic, complemented
981#3282—791no—
982D4×SD16—791no—
983#3275—791no—
984#3272—791no—
985#3267—791no—
986#3266—791no—
987#3265—791no—
988#3265—791no—
989#3224—791no—
990#3222—791no—
991#3200—791no—
992#3198—791no—
993#3196—791no—
994#3191—791no—
995#3123—791no—
996#3118—791no—
997#3012—791no—
998#3009—791no—
999#3003—791no—
1000C2×#450—791no—
1001#2976—791no—
1002C79#6161011yescharacteristic, complemented, Sylow
1003C2×H(5,𝔽2)—791no—
1004C23×D4—791no—
1005C2×#137—791no—
1006C2×AGL(1,ℤ/8)—791no—
1007C2×AGL(1,ℤ/8)—791no—
1008C2×AGL(1,ℤ/8)—791no—
1009C2×#135—791no—
1010C22×SD16—791no—
1011C22×SD16—791no—
1012C22×SD16—791no—
1013#563—1581no—
1014#562—1581no—
1015#556—791no—
1016#554—1581no—
1017#554C2×D7911yescharacteristic, complemented
1018#553—791no—
1019#553—1581no—
1020#552—791no—
1021D4×Q8—791no—
1022#548—791no—
1023#548—791no—
1024#547—791no—
1025#546—791no—
1026#546—791no—
1027#546—791no—
1028#546—791no—
1029#546—1581no—
1030#546—1581no—
1031D42—791no—
1032D42—791no—
1033D42—791no—
1034D42—1581no—
1035D42—1581no—
1036D42C2×D7911yescharacteristic
1037#542—791no—
1038#542—1581no—
1039#541—791no—
1040#539—1581no—
1041#538—1581no—
1042#538—1581no—
1043#537—791no—
1044#536—791no—
1045#535—791no—
1046#535—791no—
1047#534—1581no—
1048#534—1581no—
1049#525—791no—
1050#525—791no—
1051#525—791no—
1052C2×C22⋊Q8—791no—
1053C2×#120—1581no—
1054C2×#120—1581no—
1055#518—791no—
1056#497—791no—
1057#496—791no—
1058#495—791no—
1059#492—791no—
1060#490—791no—
1061#489—791no—
1062#488—791no—
1063#486C2×D7911yescharacteristic, complemented
1064#485—791no—
1065#485—791no—
1066#485—791no—
1067#485—791no—
1068#484—791no—
1069#482—791no—
1070#482—791no—
1071#482—791no—
1072#482—791no—
1073#481C2×D7911yescharacteristic, complemented
1074#481C2×D7911yescharacteristic, complemented
1075#480—791no—
1076#478—791no—
1077#478—791no—
1078#476C2×D7911yescharacteristic, complemented
1079#474—791no—
1080#470—791no—
1081#470—791no—
1082#469—791no—
1083#468—791no—
1084#468—791no—
1085#468—791no—
1086#468—791no—
1087#468—791no—
1088#467—791no—
1089#466—791no—
1090#466—791no—
1091#465—791no—
1092#465—791no—
1093#465—791no—
1094#465C2×D7911yescharacteristic, complemented
1095#465C2×D7911yescharacteristic, complemented
1096#464—791no—
1097#464—791no—
1098#464—791no—
1099#463—791no—
1100#463—791no—
1101#463—791no—
1102#461—791no—
1103#461—791no—
1104#460—791no—
1105#460—791no—
1106#460C2×D7911yescharacteristic, complemented
1107#459—791no—
1108#452—791no—
1109#452—791no—
1110#452—791no—
1111#452—791no—
1112#452—791no—
1113#452—791no—
1114#452—791no—
1115#451—791no—
1116#450—791no—
1117#450—791no—
1118#450—791no—
1119#450—791no—
1120#450—791no—
1121#450—791no—
1122#450—791no—
1123#450—791no—
1124#450—791no—
1125#450—791no—
1126#450—791no—
1127#450—791no—
1128#450—791no—
1129#450C2×D7911yescharacteristic, complemented
1130#450C2×D7911yescharacteristic, complemented
1131#449—791no—
1132#449—791no—
1133#449—791no—
1134#449—791no—
1135#449—791no—
1136#448—791no—
1137#448—791no—
1138#448—791no—
1139#447—791no—
1140#447—791no—
1141#447—791no—
1142#447—791no—
1143#447—791no—
1144#442—791no—
1145#440—791no—
1146#440—791no—
1147#440—791no—
1148C4×SD16—791no—
1149C4×SD16—791no—
1150C4×SD16C2×D7911yescharacteristic, complemented
1151C4×D8—791no—
1152#436—791no—
1153#436—791no—
1154#435—791no—
1155#435—791no—
1156#435—791no—
1157#435—791no—
1158C8×D4—791no—
1159C8×D4C2×D7911yescharacteristic, complemented
1160#433—791no—
1161#433—791no—
1162#418—791no—
1163#418—791no—
1164#418—791no—
1165#417—791no—
1166#416—791no—
1167C2×#102—791no—
1168C2×#102C2×D7911yescharacteristic, complemented
1169C2×#102C2×D7911yescharacteristic, complemented
1170#408—791no—
1171#408—791no—
1172#407—791no—
1173C2×C22⋊C8—791no—
1174C25—1581no—
1175H(5,𝔽2)—3162no—
1176H(5,𝔽2)—3162no—
1177C2×#41—791no—
1178C2×#41—791no—
1179C2×#41—791no—
1180C2×#41—791no—
1181C2×#41—791no—
1182C2×#41—791no—
1183C2×#41—1581no—
1184C22×Q8—791no—
1185C22×Q8—791no—
1186C22×D4—21no—
1187C22×D4—3162no—
1188C22×D4—3162no—
1189C22×D4—791no—
1190C22×D4—791no—
1191C22×D4—791no—
1192C22×D4—791no—
1193C22×D4—791no—
1194C22×D4—791no—
1195C22×D4—1581no—
1196C22×D4—1581no—
1197C22×D4—1581no—
1198C22×D4—1581no—
1199C22×D4—1581no—
1200C22×D4—1581no—
1201C22×D4—1581no—
1202C22×D4—1581no—
1203C22×D4—1581no—
1204C22×D4C22×D7911yescharacteristic
1205C22×D4C22×D7911yescharacteristic
1206C23×C4—791no—
1207#137—3162no—
1208AGL(1,ℤ/8)—3162no—
1209AGL(1,ℤ/8)—3162no—
1210AGL(1,ℤ/8)—3162no—
1211#135—3162no—
1212C2×Q16—791no—
1213C2×Q16—791no—
1214C2×Q16—791no—
1215C2×SD16—3162no—
1216C2×SD16—3162no—
1217C2×SD16—3162no—
1218C2×SD16—791no—
1219C2×SD16—791no—
1220C2×SD16—791no—
1221C2×SD16—791no—
1222C2×SD16—791no—
1223C2×SD16—791no—
1224C2×SD16—791no—
1225C2×SD16—791no—
1226C2×SD16—791no—
1227C2×SD16—791no—
1228C2×SD16—791no—
1229C2×SD16—791no—
1230C2×SD16—791no—
1231C2×SD16C22×D7911yescharacteristic
1232C2×SD16C22×D7911yescharacteristic
1233C2×SD16C22×D7911yescharacteristic, complemented
1234C2×D8—791no—
1235C2×D8—791no—
1236C2×D8—791no—
1237C2×D8—791no—
1238C2×D8—791no—
1239C2×M16—791no—
1240C2×M16—791no—
1241C2×M16—791no—
1242C2×M16—791no—
1243C22×C8—791no—
1244C22×C8—791no—
1245C22×C8C22×D7911yescharacteristic
1246C22×C8C22×D7911yescharacteristic, complemented
1247C4⋊Q8—791no—
1248C4⋊Q8—1581no—
1249C4⋊Q8—1581no—
1250C4⋊Q8C22×D7911yescharacteristic, complemented
1251#127—791no—
1252#127—1581no—
1253#127C22×D7911yescharacteristic
1254#126—1581no—
1255#126—1581no—
1256#126—1581no—
1257#126—1581no—
1258#126—1581no—
1259#126—1581no—
1260#126—1581no—
1261#125—21no—
1262#125—791no—
1263#125—1581no—
1264#125—1581no—
1265#125—1581no—
1266#124—791no—
1267#124—791no—
1268#124—791no—
1269#124—1581no—
1270#124—1581no—
1271#124—1581no—
1272#124—1581no—
1273#124—1581no—
1274#124—1581no—
1275#123—791no—
1276#123—791no—
1277#123—1581no—
1278#123—1581no—
1279#123—1581no—
1280#123—1581no—
1281#123—1581no—
1282#123—1581no—
1283#123—1581no—
1284#123—1581no—
1285#123—1581no—
1286#123—1581no—
1287#123—1581no—
1288#123—1581no—
1289#123—1581no—
1290C22⋊Q8—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—791no—
1293C22⋊Q8—791no—
1294C22⋊Q8—791no—
1295C22⋊Q8—791no—
1296C22⋊Q8—791no—
1297C22⋊Q8—791no—
1298C22⋊Q8—791no—
1299C22⋊Q8—791no—
1300C22⋊Q8—791no—
1301C22⋊Q8—791no—
1302C22⋊Q8—791no—
1303C22⋊Q8—1581no—
1304C22⋊Q8—1581no—
1305C22⋊Q8—1581no—
1306C22⋊Q8—1581no—
1307C22⋊Q8—1581no—
1308C22⋊Q8—1581no—
1309C22⋊Q8—1581no—
1310C22⋊Q8—1581no—
1311C22⋊Q8C22×D7911yescharacteristic
1312C22⋊Q8C22×D7911yescharacteristic, complemented
1313#121—21no—
1314#121—791no—
1315#121—791no—
1316#121—791no—
1317#121—791no—
1318#121—791no—
1319#121—791no—
1320#121—791no—
1321#121—791no—
1322#121—791no—
1323#121—1581no—
1324#121—1581no—
1325#121—1581no—
1326#121—1581no—
1327#121—1581no—
1328#121—1581no—
1329#121—1581no—
1330#121—1581no—
1331#121—1581no—
1332#121—1581no—
1333#121—1581no—
1334#121—1581no—
1335#121—1581no—
1336#121—1581no—
1337#121—1581no—
1338#121—1581no—
1339#121C22×D7911yescharacteristic
1340#121C22×D7911yescharacteristic
1341#120—21no—
1342#120—21no—
1343#120—791no—
1344#120—791no—
1345#120—1581no—
1346#120—1581no—
1347#120—1581no—
1348#120—1581no—
1349#120—1581no—
1350#120—1581no—
1351#120—1581no—
1352#120—1581no—
1353#120—1581no—
1354#120—1581no—
1355#120—1581no—
1356#120—1581no—
1357#120—1581no—
1358#120—1581no—
1359#120—1581no—
1360#120—1581no—
1361C4×Q8—791no—
1362C4×Q8—791no—
1363C4×Q8—1581no—
1364C4×Q8C22×D7911yescharacteristic, complemented
1365C4×D4—21no—
1366C4×D4—791no—
1367C4×D4—791no—
1368C4×D4—791no—
1369C4×D4—791no—
1370C4×D4—791no—
1371C4×D4—791no—
1372C4×D4—791no—
1373C4×D4—1581no—
1374C4×D4—1581no—
1375C4×D4—1581no—
1376C4×D4—1581no—
1377C4×D4—1581no—
1378C4×D4—1581no—
1379C4×D4—1581no—
1380C4×D4—1581no—
1381C4×D4—1581no—
1382C4×D4—1581no—
1383C4×D4C22×D7911yescharacteristic
1384C4×D4C22×D7911yescharacteristic
1385#117—791no—
1386#117—791no—
1387#117—791no—
1388#117—791no—
1389#117—1581no—
1390C2×C4⋊C4—1581no—
1391C2×C4⋊C4—1581no—
1392C2×C4⋊C4C22×D7911yescharacteristic
1393C2×C4⋊C4C22×D7911yescharacteristic, complemented
1394C2×C22⋊C4—1581no—
1395C2×C22⋊C4—1581no—
1396C2×C22⋊C4—1581no—
1397C2×C22⋊C4—1581no—
1398C2×C22⋊C4—1581no—
1399C2×C22⋊C4—1581no—
1400C2×C22⋊C4—1581no—
1401#107—791no—
1402#107—791no—
1403#107—791no—
1404#107—791no—
1405#106—791no—
1406#106C22×D7911yescharacteristic, complemented
1407#106C22×D7911yescharacteristic, complemented
1408#106C22×D7911yescharacteristic, complemented
1409C4⋊C8—791no—
1410C4⋊C8—791no—
1411C4⋊C8—791no—
1412C4⋊C8C22×D7911yescharacteristic, complemented
1413#103—791no—
1414#103—791no—
1415#103—791no—
1416#103—791no—
1417#103—791no—
1418#103—791no—
1419#103—791no—
1420#103—791no—
1421#103—791no—
1422#103C22×D7911yescharacteristic, complemented
1423#102—791no—
1424#102—791no—
1425#102—791no—
1426#102—791no—
1427#102—791no—
1428#102—791no—
1429#102—791no—
1430#102—791no—
1431#102—791no—
1432#102—791no—
1433#102—791no—
1434#102—791no—
1435#102—791no—
1436#102C22×D7911yescharacteristic
1437#102C22×D7911yescharacteristic
1438#102C22×D7911yescharacteristic
1439#102C22×D7911yescharacteristic
1440#102C22×D7911yescharacteristic
1441#102C22×D7911yescharacteristic
1442#102C22×D7911yescharacteristic, complemented
1443#102C22×D7911yescharacteristic, complemented
1444#102C22×D7911yescharacteristic, complemented
1445C22⋊C8—791no—
1446C22⋊C8—791no—
1447C22⋊C8—791no—
1448C22⋊C8—791no—
1449C22⋊C8—791no—
1450C22⋊C8—791no—
1451C22⋊C8—791no—
1452C22⋊C8—791no—
1453C22⋊C8—791no—
1454C22⋊C8—791no—
1455C22⋊C8C22×D7911yescharacteristic
1456C22⋊C8C22×D7911yescharacteristic, complemented
1457#97—791no—
1458#97—791no—
1459C4×C8—791no—
1460C4×C8C22×D7911yescharacteristic, complemented
1461C24—21no—
1462C24—21no—
1463C24—3164no—
1464C24—791no—
1465C24—6322no—
1466C24—6322no—
1467C24—1581no—
1468C24—1581no—
1469C24—1581no—
1470C24—1581no—
1471C24—1581no—
1472C24—1581no—
1473#41—3161no—
1474#41—3161no—
1475#41—3161no—
1476#41—3161no—
1477#41—3161no—
1478#41—3164no—
1479#41—3161no—
1480#41—3161no—
1481#41—3161no—
1482#41—3161no—
1483#41—3161no—
1484#41—1582no—
1485#41—1582no—
1486C2×Q8—21no—
1487C2×Q8—3161no—
1488C2×Q8—3161no—
1489C2×Q8—3161no—
1490C2×Q8—3161no—
1491C2×Q8—791no—
1492C2×Q8—791no—
1493C2×Q8—791no—
1494C2×Q8—791no—
1495C2×Q8—1581no—
1496C2×Q8—1581no—
1497C2×Q8C23×D7911yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—82no—
1509C2×D4—3161no—
1510C2×D4—3164no—
1511C2×D4—3164no—
1512C2×D4—3164no—
1513C2×D4—3164no—
1514C2×D4—3164no—
1515C2×D4—3164no—
1516C2×D4—3161no—
1517C2×D4—3161no—
1518C2×D4—3161no—
1519C2×D4—3161no—
1520C2×D4—3161no—
1521C2×D4—791no—
1522C2×D4—791no—
1523C2×D4—791no—
1524C2×D4—791no—
1525C2×D4—791no—
1526C2×D4—791no—
1527C2×D4—791no—
1528C2×D4—791no—
1529C2×D4—791no—
1530C2×D4—6322no—
1531C2×D4—6322no—
1532C2×D4—6322no—
1533C2×D4—1582no—
1534C2×D4—1581no—
1535C2×D4—1581no—
1536C2×D4—1581no—
1537C2×D4—1581no—
1538C2×D4—1581no—
1539C2×D4—1581no—
1540C2×D4—1581no—
1541C2×D4—1581no—
1542C2×D4—1581no—
1543C2×D4—1581no—
1544C2×D4—1581no—
1545C2×D4—1582no—
1546C2×D4—1582no—
1547C2×D4—1582no—
1548C2×D4—1581no—
1549C2×D4—1581no—
1550C2×D4—1581no—
1551C2×D4—1581no—
1552C2×D4—1581no—
1553C2×D4—1582no—
1554C2×D4—1581no—
1555C2×D4—1581no—
1556C2×D4—1581no—
1557C2×D4—1582no—
1558C2×D4—1581no—
1559C2×D4D4×D7911yescharacteristic
1560C2×D4C23×D7911yescharacteristic
1561C2×D4C23×D7911yescharacteristic
1562C2×D4C23×D7911yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—3161no—
1567C22×C4—3161no—
1568C22×C4—791no—
1569C22×C4—791no—
1570C22×C4—791no—
1571C22×C4—791no—
1572C22×C4—791no—
1573C22×C4—791no—
1574C22×C4—1581no—
1575C22×C4—1581no—
1576C22×C4—1581no—
1577C22×C4—1581no—
1578C22×C4—1581no—
1579C22×C4—1581no—
1580C22×C4—1581no—
1581C22×C4—1581no—
1582C22×C4—1581no—
1583C22×C4—1581no—
1584C22×C4—1581no—
1585C22×C4C23×D7911yescharacteristic
1586C22×C4C23×D7911yescharacteristic
1587Q16—3161no—
1588Q16—3161no—
1589Q16—3161no—
1590SD16—22no—
1591SD16—41no—
1592SD16—41no—
1593SD16—3161no—
1594SD16—3161no—
1595SD16—3161no—
1596SD16—3161no—
1597SD16—3161no—
1598SD16—3161no—
1599SD16—3161no—
1600SD16—3161no—
1601SD16—1582no—
1602SD16—1582no—
1603SD16—1582no—
1604SD16—1582no—
1605SD16—1582no—
1606D8—3161no—
1607D8—3161no—
1608D8—3161no—
1609D8—1582no—
1610D8—1582no—
1611M16—3161no—
1612M16—3161no—
1613M16—3161no—
1614M16—3161no—
1615C2×C8—41no—
1616C2×C8—41no—
1617C2×C8—3161no—
1618C2×C8—3161no—
1619C2×C8—791no—
1620C2×C8—791no—
1621C2×C8—791no—
1622C2×C8—791no—
1623C2×C8C23×D7911yescharacteristic
1624C2×C8C23×D7911yescharacteristic
1625C2×C8C23×D7911yescharacteristic
1626C2×C8C23×D7911yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—791no—
1634C4⋊C4—791no—
1635C4⋊C4—791no—
1636C4⋊C4—791no—
1637C4⋊C4—791no—
1638C4⋊C4—791no—
1639C4⋊C4—791no—
1640C4⋊C4—1581no—
1641C4⋊C4—1581no—
1642C4⋊C4—1581no—
1643C4⋊C4—1581no—
1644C4⋊C4—1581no—
1645C4⋊C4—1581no—
1646C4⋊C4—1581no—
1647C4⋊C4—1581no—
1648C4⋊C4—1581no—
1649C4⋊C4—1581no—
1650C4⋊C4—1581no—
1651C4⋊C4—1581no—
1652C4⋊C4—1581no—
1653C4⋊C4—1581no—
1654C4⋊C4—1581no—
1655C4⋊C4D4×D7911yescharacteristic
1656C4⋊C4C23×D7911yescharacteristic
1657C4⋊C4C23×D7911yescharacteristic
1658C4⋊C4C23×D7911yescharacteristic
1659C4⋊C4C23×D7911yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—791no—
1666C22⋊C4—791no—
1667C22⋊C4—791no—
1668C22⋊C4—791no—
1669C22⋊C4—791no—
1670C22⋊C4—791no—
1671C22⋊C4—791no—
1672C22⋊C4—791no—
1673C22⋊C4—1581no—
1674C22⋊C4—1581no—
1675C22⋊C4—1581no—
1676C22⋊C4—1581no—
1677C22⋊C4—1581no—
1678C22⋊C4—1581no—
1679C22⋊C4—1581no—
1680C22⋊C4—1581no—
1681C22⋊C4—1581no—
1682C22⋊C4—1581no—
1683C22⋊C4—1581no—
1684C22⋊C4—1581no—
1685C22⋊C4—1581no—
1686C22⋊C4—1581no—
1687C22⋊C4—1581no—
1688C22⋊C4—1581no—
1689C22⋊C4—1581no—
1690C22⋊C4—1581no—
1691C22⋊C4—1581no—
1692C22⋊C4—1581no—
1693C22⋊C4—1581no—
1694C22⋊C4—1581no—
1695C22⋊C4—1581no—
1696C22⋊C4—1581no—
1697C22⋊C4—1581no—
1698C22⋊C4—1581no—
1699C22⋊C4—1581no—
1700C22⋊C4—1581no—
1701C22⋊C4—1581no—
1702C22⋊C4D4×D7911yescharacteristic
1703C22⋊C4D4×D7911yescharacteristic
1704C42—21no—
1705C42—791no—
1706C42—1581no—
1707C42—1581no—
1708C42—1581no—
1709C42—1581no—
1710C42—1581no—
1711C42C23×D7911yescharacteristic
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—42no—
1716C23—42no—
1717C23—42no—
1718C23—81no—
1719C23—81no—
1720C23—81no—
1721C23—3161no—
1722C23—3161no—
1723C23—3162no—
1724C23—3162no—
1725C23—3162no—
1726C23—3162no—
1727C23—3162no—
1728C23—3162no—
1729C23—3162no—
1730C23—3162no—
1731C23—791no—
1732C23—791no—
1733C23—791no—
1734C23—6321no—
1735C23—6321no—
1736C23—6321no—
1737C23—6321no—
1738C23—6321no—
1739C23—6321no—
1740C23—6321no—
1741C23—6321no—
1742C23—6321no—
1743C23—63216no—
1744C23—1584no—
1745C23—1581no—
1746C23—1581no—
1747C23—1582no—
1748C23—1581no—
1749C23C2×D4×D7911yescharacteristic
1750C23C2×D4×D7911yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—81no—
1754Q8—3161no—
1755Q8—6321no—
1756Q8—6321no—
1757Q8—1581no—
1758Q8—1581no—
1759Q8—1581no—
1760Q8—1581no—
1761Q8—1581no—
1762Q8—1581no—
1763D4—22no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—42no—
1770D4—42no—
1771D4—42no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—3162no—
1776D4—3161no—
1777D4—3161no—
1778D4—3162no—
1779D4—3162no—
1780D4—3162no—
1781D4—3162no—
1782D4—3162no—
1783D4—3162no—
1784D4—3161no—
1785D4—3161no—
1786D4—3161no—
1787D4—3162no—
1788D4—3162no—
1789D4—3162no—
1790D4—792no—
1791D4—6321no—
1792D4—6321no—
1793D4—6321no—
1794D4—6321no—
1795D4—6321no—
1796D4—6321no—
1797D4—6321no—
1798D4—6321no—
1799D4—6321no—
1800D4—1584no—
1801D4—1582no—
1802D4—1581no—
1803D4—1581no—
1804D4—1581no—
1805D4—1581no—
1806D4—1581no—
1807D4#1457920712yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—81no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—3162no—
1821C2×C4—3161no—
1822C2×C4—3161no—
1823C2×C4—3162no—
1824C2×C4—3162no—
1825C2×C4—3161no—
1826C2×C4—791no—
1827C2×C4—791no—
1828C2×C4—791no—
1829C2×C4—791no—
1830C2×C4—791no—
1831C2×C4—6321no—
1832C2×C4—6321no—
1833C2×C4—6321no—
1834C2×C4—6321no—
1835C2×C4—6321no—
1836C2×C4—6321no—
1837C2×C4—6321no—
1838C2×C4—6321no—
1839C2×C4—1581no—
1840C2×C4—1581no—
1841C2×C4—1581no—
1842C2×C4—1581no—
1843C2×C4—1581no—
1844C2×C4—1581no—
1845C2×C4—1581no—
1846C2×C4—1581no—
1847C2×C4—1581no—
1848C2×C4—1581no—
1849C2×C4—1581no—
1850C2×C4C2×D4×D7911yescharacteristic
1851C2×C4C2×D4×D7911yescharacteristic
1852C2×C4C2×D4×D7911yescharacteristic
1853C2×C4C2×D4×D7911yescharacteristic
1854C2×C4C24×D7911yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1581no—
1860C8—1581no—
1861C8—1581no—
1862C8—1581no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—22no—
1867C22—21no—
1868C22—21no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—84no—
1878C22—162no—
1879C22—3164no—
1880C22—3161no—
1881C22—3161no—
1882C22—3161no—
1883C22—3161no—
1884C22—3161no—
1885C22—3161no—
1886C22—3161no—
1887C22—3161no—
1888C22—6324no—
1889C22—6324no—
1890C22—6324no—
1891C22—6324no—
1892C22—6324no—
1893C22—1581no—
1894C22—1581no—
1895C22—1582no—
1896C22—1581no—
1897C22—1581no—
1898C22—1581no—
1899C22—1581no—
1900C22—1581no—
1901C22—1581no—
1902C22—1581no—
1903C22—12642no—
1904C22#1909936912yes—
1905C22C22×D4×D7911yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—3161no—
1916C4—3161no—
1917C4—3161no—
1918C4—3161no—
1919C4—3161no—
1920C4—1581no—
1921C4—1581no—
1922C4—1581no—
1923C4—1581no—
1924C4—1581no—
1925C4H(5,𝔽2)×D7911yescharacteristic
1926C4C2×#1457920711yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—81no—
1932C2—3161no—
1933C2—3161no—
1934C2—3162no—
1935C2—3161no—
1936C2—6321no—
1937C2—6321no—
1938C2#2377703011yescharacteristic
1939C2C2×#1909936911yescharacteristic
1940C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3295C2
socleC22×C79C23×D4
hypercenter#3295D79
hypocenterC79#61610
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3295

Complements

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

NH ≅ G/Ntype
1. #23777694C2semidirect
2. #23777028C2semidirect
3. #23775630C2semidirect
4. #23775619C2semidirect
5. #23775539C2semidirect
6. #23775475C2semidirect
7. #23775433C2semidirect
8. #23775417C2semidirect
9. #23775246C2semidirect
10. #23775112C2semidirect
11. #23775093C2semidirect
12. #23775033C2semidirect
13. #23774998C2semidirect
14. #23774922C2semidirect
15. #23774914C2semidirect
16. #23774891C2semidirect
17. #23774890C2semidirect
18. #23774497C2semidirect
19. #23774471C2semidirect
20. #23774266C2semidirect
21. #23774257C2semidirect
22. #23774229C2semidirect
23. #23774189C2semidirect
24. #23773649C2semidirect
25. #23773589C2semidirect
26. #23772709C2semidirect
27. #23772672C2semidirect
28. #23772628C2semidirect
29. C2×#19098715C2semidirect
30. #23772442C2semidirect
31. C79×#3295C2semidirect
34. C2×#14579190C22semidirect
35. C2×#14579188C22semidirect
36. C2×#14579188C22semidirect
37. C2×#14579187C22semidirect
38. C2×#14579183C22semidirect
39. C22×#11929613C22semidirect
40. C22×#11929612C22semidirect
41. C2×SD16×D79C22semidirect
44. #19099287C22semidirect
46. #19099261C22semidirect
48. #19099248C22semidirect
49. #19099226C22semidirect
50. #19099225C22semidirect
51. #19099222C22semidirect
52. #19099215C22semidirect
64. #19099187C22semidirect
66. #19099171C22semidirect
70. #19099144C22semidirect
71. #19099136C22semidirect
76. #19099076C22semidirect
79. C2×#14579141C22semidirect
83. #19098954C22semidirect
84. #19098950C22semidirect
85. #19098947C22semidirect
86. #19098934C22semidirect
87. #19098926C22semidirect
88. #19098925C22semidirect
89. #19098916C22semidirect
90. #19098907C22semidirect
91. #19098907C22semidirect
92. #19098907C22semidirect
93. #19098902C22semidirect
94. #19098898C22semidirect
95. #19098889C22semidirect
96. #19098889C22semidirect
97. #19098886C22semidirect
98. #19098886C22semidirect
99. #19098876C22semidirect
100. #19098865C22semidirect
101. #19098862C22semidirect
102. #19098840C22semidirect
103. #19098822C22semidirect
104. #19098822C22semidirect
105. #19098817C22semidirect
106. #19098811C22semidirect
107. #19098808C22semidirect
108. #19098808C22semidirect
109. #19098808C22semidirect
110. #19098807C22semidirect
111. #19098802C22semidirect
112. #19098798C22semidirect
113. #19098797C22semidirect
114. #19098793C22semidirect
115. #19098792C22semidirect
116. #19098792C22semidirect
117. #19098786C22semidirect
118. #19098785C22semidirect
119. #19098784C22semidirect
120. #19098779C22semidirect
121. #19098778C22semidirect
122. #19098777C22semidirect
123. #19098767C22semidirect
124. #19098766C22semidirect
125. #19098762C22semidirect
126. #19098760C22semidirect
127. #19098757C22semidirect
128. #19098728C22semidirect
129. #19098727C22semidirect
130. #19098726C22semidirect
131. #19098726C22semidirect
132. #19098726C22semidirect
133. #19098723C22semidirect
134. #19098722C22semidirect
135. #19098721C22semidirect
138. #19098715C22semidirect
139. #19098715C22semidirect
140. #19098715C22semidirect
141. #19098715C22semidirect
142. #19098715C22semidirect
143. #19098715C22semidirect
144. #19098715C22semidirect
145. #19098714C22semidirect
146. #19098713C22semidirect
148. #19098712C22semidirect
149. #19098710C22semidirect
150. #19098709C22semidirect
151. #19098709C22semidirect
152. #19098707C22semidirect
153. #19098706C22semidirect
154. #19098703C22semidirect
155. #19098701C22semidirect
156. #19098700C22semidirect
157. #19098699C22semidirect
159. #19098698C22semidirect
160. #19098698C22semidirect
161. #19098697C22semidirect
162. #19098674C22semidirect
163. #19098663C22semidirect
164. #19098661C22semidirect
165. #19098660C22semidirect
166. C4×#11929613C22semidirect
167. #19098650C22semidirect
168. #19098643C22semidirect
169. #19098642C22semidirect
170. #19098638C22semidirect
171. #19098635C22semidirect
172. #19098634C22semidirect
173. #19098633C22semidirect
174. #19098631C22semidirect
175. C8×C22⋊D79C22semidirect
176. #19098623C22semidirect
177. #19098622C22semidirect
178. #19098566C22semidirect
179. #19098566C22semidirect
180. #19098566C22semidirect
181. #19098562C22semidirect
182. #19098556C22semidirect
183. C2×#14579081C22semidirect
184. #19098529C22semidirect
185. #19098528C22semidirect
186. #19098525C22semidirect
187. C2×(C2×D79)⋊C8C22semidirect
188. #554×C79C22semidirect
190. #486×C79C22semidirect
191. #481×C79C22semidirect
192. #481×C79C22semidirect
193. #476×C79C22semidirect
194. #465×C79C22semidirect
195. #465×C79C22semidirect
196. #460×C79C22semidirect
197. #450×C79C22semidirect
198. #450×C79C22semidirect
199. C4×SD16×C79C22semidirect
200. C8×D4×C79C22semidirect
201. C2×#102×C79C22semidirect
202. C2×#102×C79C22semidirect
209. C2×#11929624C23semidirect
214. C2×Q8×D79C23semidirect
238. C2×Dic316C23semidirect
239. C2×Dic316C23semidirect
240. C2×#11929614C23semidirect
246. C2×#11929613C23semidirect
252. C2×#11929612C23semidirect
253. C2×#11929612C23semidirect
261. C2×#11929609C23semidirect
262. C2×#11929608C23semidirect
265. C2×#11929607C23semidirect
267. C2×C8×D79C23semidirect
270. #14579159C23semidirect
281. #14579152C23semidirect
288. #14579149C23semidirect
317. #14579141C23semidirect
319. #14579140C23semidirect
331. #14579136C23semidirect
371. C4×Dic158C23semidirect
372. #14579126C23semidirect
380. #14579123C23semidirect
393. #14579119C23semidirect
404. #14579094C23semidirect
405. #14579094C23semidirect
406. #14579094C23semidirect
407. #14579094C23semidirect
408. #14579093C23semidirect
409. C4⋊(C79⋊C8)C23semidirect
410. Dic79⋊C8C23semidirect
411. Dic79⋊C8C23semidirect
412. #14579086C23semidirect
413. #14579086C23semidirect
414. #14579086C23semidirect
415. #14579085C23semidirect
416. #14579084C23semidirect
417. #14579084C23semidirect
418. #14579084C23semidirect
419. #14579084C23semidirect
420. #14579084C23semidirect
423. #14579083C23semidirect
426. #14579082C23semidirect
433. #14579081C23semidirect
435. C22⋊(C79⋊C8)C23semidirect
442. (C2×D79)⋊C8C23semidirect
443. (C2×D79)⋊C8C23semidirect
444. #14579072C23semidirect
445. #14579071C23semidirect
446. C8×Dic79C23semidirect
452. C2×SD16×C79C23semidirect
454. C22×C8×C79C23semidirect
455. C4⋊Q8×C79C23semidirect
461. C22⋊Q8×C79C23semidirect
467. C4×Q8×C79C23semidirect
472. C2×C4⋊C4×C79C23semidirect
473. #106×C79C23semidirect
474. #106×C79C23semidirect
475. #106×C79C23semidirect
476. C4⋊C8×C79C23semidirect
477. #103×C79C23semidirect
484. #102×C79C23semidirect
485. #102×C79C23semidirect
486. #102×C79C23semidirect
488. C22⋊C8×C79C23semidirect
489. C4×C8×C79C23semidirect
980. #3295D79semidirect
1002. C79#61610semidirect
1017. #554C2×D79semidirect
1063. #486C2×D79semidirect
1073. #481C2×D79semidirect
1074. #481C2×D79semidirect
1078. #476C2×D79semidirect
1094. #465C2×D79semidirect
1095. #465C2×D79semidirect
1106. #460C2×D79semidirect
1129. #450C2×D79semidirect
1130. #450C2×D79semidirect
1150. C4×SD16C2×D79semidirect
1159. C8×D4C2×D79semidirect
1168. C2×#102C2×D79semidirect
1169. C2×#102C2×D79semidirect
1233. C2×SD16C22×D79semidirect
1246. C22×C8C22×D79semidirect
1250. C4⋊Q8C22×D79semidirect
1312. C22⋊Q8C22×D79semidirect
1364. C4×Q8C22×D79semidirect
1393. C2×C4⋊C4C22×D79semidirect
1406. #106C22×D79semidirect
1407. #106C22×D79semidirect
1408. #106C22×D79semidirect
1412. C4⋊C8C22×D79semidirect
1422. #103C22×D79semidirect
1442. #102C22×D79semidirect
1443. #102C22×D79semidirect
1444. #102C22×D79semidirect
1456. C22⋊C8C22×D79semidirect
1460. C4×C8C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237776942
#237770282
#237756302
#237756192
#237755392
#237754752
#237754332
#237754172
#237752462
#237751122
#237750932
#237750332
#237749982
#237749222
#237749142
#237748912
#237748902
#237744972
#237744712
#237742662
#237742572
#237742292
#237741892
#237736492
#237735892
#237727092
#237726722
#237726282
C2×#190987152
#237724422
C79×#32952
#6161079