Finite Group Databasebeta

← #35173853

Subgroups — #35173853

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#23777693C211yesmaximal, characteristic, complemented
2#23777033C211yesmaximal, characteristic, complemented
3#23775632C211yesmaximal, characteristic, complemented
4#23775618C211yesmaximal, characteristic, complemented
5#23775543C211yesmaximal, characteristic, complemented
6#23775483C211yesmaximal, characteristic, complemented
7#23775438C211yesmaximal, characteristic, complemented
8#23775423C211yesmaximal, characteristic, complemented
9#23775252C211yesmaximal, characteristic, complemented
10#23775225C211yesmaximal, characteristic, complemented
11#23775112C211yesmaximal, characteristic, complemented
12D4×#11929613C211yesmaximal, characteristic, complemented
13#23775036C211yesmaximal, characteristic, complemented
14#23775002C211yesmaximal, characteristic, complemented
15#23774930C211yesmaximal, characteristic, complemented
16#23774915C211yesmaximal, characteristic, complemented
17#23774900C211yesmaximal, characteristic, complemented
18#23774900C211yesmaximal, characteristic, complemented
19#23774496C211yesmaximal, characteristic, complemented
20#23774474C211yesmaximal, characteristic, complemented
21#23774273C211yesmaximal, characteristic, complemented
22#23774254C211yesmaximal, characteristic, complemented
23#23774232C211yesmaximal, characteristic, complemented
24#23774193C211yesmaximal, characteristic, complemented
25#23773653C211yesmaximal, characteristic, complemented
26#23773586C211yesmaximal, characteristic, complemented
27#23772707C211yesmaximal, characteristic, complemented
28#23772679C211yesmaximal, characteristic, complemented
29#23772630C211yesmaximal, characteristic, complemented
30C2×#19098716C211yesmaximal, characteristic, complemented
31C79×#2976C211yesmaximal, characteristic, complemented
32C2×#14579207C2211yescharacteristic
33C23×D316C2211yescharacteristic
34C2×#14579194C2211yescharacteristic, complemented
35C2×#14579189C2211yescharacteristic, complemented
36C2×#14579189C2211yescharacteristic, complemented
37C2×#14579189C2211yescharacteristic, complemented
38C2×#14579183C2211yescharacteristic, complemented
39C22×#11929613C2211yescharacteristic, complemented
40C22×#11929613C2211yescharacteristic, complemented
41C22×#11929613C2211yescharacteristic, complemented
42#19099314—21no—
43#19099308—21no—
44#19099283C2211yescharacteristic, complemented
45#19099270C2211yescharacteristic, complemented
46#19099267—21no—
47#19099259C2211yescharacteristic, complemented
48#19099256—21no—
49#19099253C2211yescharacteristic, complemented
50D4×Dic158C2211yescharacteristic, complemented
51#19099222C2211yescharacteristic, complemented
52#19099222C2211yescharacteristic, complemented
53#19099218C2211yescharacteristic, complemented
54#19099209C2211yescharacteristic
55#19099209C2211yescharacteristic
56#19099209C2211yescharacteristic
57#19099209C2211yescharacteristic
58#19099204—21no—
59#19099204—21no—
60D4×D316C2211yescharacteristic
61D4×D316C2211yescharacteristic
62D4×D316C2211yescharacteristic
63D4×D316C2211yescharacteristic
64#19099197—21no—
65#19099197—21no—
66#19099184C2211yescharacteristic, complemented
67#19099181—21no—
68#19099175C2211yescharacteristic, complemented
69#19099156—21no—
70#19099148—21no—
71#19099148—21no—
72#19099141C2211yescharacteristic, complemented
73#19099134C2211yescharacteristic, complemented
74#19099132C2211yescharacteristic
75#19099127C2211yescharacteristic
76#19099124—21no—
77#19099124—21no—
78#19099074C2211yescharacteristic
79#19099074C2211yescharacteristic, complemented
80C2×#14579140C2211yescharacteristic, complemented
81#120×D79—21no—
82#120×D79—21no—
83#19099037C2211yescharacteristic
84#19098957C2211yescharacteristic, complemented
85#19098952C2211yescharacteristic, complemented
86#19098947C2211yescharacteristic, complemented
87#19098936C2211yescharacteristic, complemented
88#19098928C2211yescharacteristic, complemented
89#19098923C2211yescharacteristic, complemented
90#19098918C2211yescharacteristic, complemented
91#19098910C2211yescharacteristic, complemented
92#19098905C2211yescharacteristic, complemented
93#19098905C2211yescharacteristic, complemented
94#19098905C2211yescharacteristic, complemented
95#19098905C2211yescharacteristic, complemented
96#19098899C2211yescharacteristic, complemented
97#19098888C2211yescharacteristic, complemented
98#19098888C2211yescharacteristic, complemented
99#19098888C2211yescharacteristic, complemented
100#19098888C2211yescharacteristic, complemented
101#19098882C2211yescharacteristic, complemented
102#19098882C2211yescharacteristic, complemented
103#19098877C2211yescharacteristic, complemented
104#19098864C2211yescharacteristic, complemented
105#19098864C2211yescharacteristic, complemented
106#19098854C2211yescharacteristic, complemented
107#19098844C2211yescharacteristic, complemented
108#19098821C2211yescharacteristic, complemented
109#19098821C2211yescharacteristic, complemented
110#19098816C2211yescharacteristic, complemented
111#19098809C2211yescharacteristic, complemented
112#19098809C2211yescharacteristic, complemented
113#19098809C2211yescharacteristic, complemented
114#19098809C2211yescharacteristic, complemented
115#19098809C2211yescharacteristic, complemented
116#19098804C2211yescharacteristic, complemented
117#19098799C2211yescharacteristic, complemented
118#19098799C2211yescharacteristic, complemented
119#19098792C2211yescharacteristic, complemented
120#19098792C2211yescharacteristic, complemented
121#19098792C2211yescharacteristic, complemented
122#19098792C2211yescharacteristic, complemented
123#19098792C2211yescharacteristic, complemented
124#19098786C2211yescharacteristic, complemented
125#19098786C2211yescharacteristic, complemented
126#19098786C2211yescharacteristic, complemented
127#19098779C2211yescharacteristic, complemented
128#19098779C2211yescharacteristic, complemented
129#19098779C2211yescharacteristic, complemented
130#19098769C2211yescharacteristic, complemented
131#19098769C2211yescharacteristic, complemented
132#19098764C2211yescharacteristic, complemented
133#19098764C2211yescharacteristic, complemented
134#19098764C2211yescharacteristic, complemented
135#19098759C2211yescharacteristic, complemented
136#19098727C2211yescharacteristic, complemented
137#19098727C2211yescharacteristic, complemented
138#19098727C2211yescharacteristic, complemented
139#19098727C2211yescharacteristic, complemented
140#19098727C2211yescharacteristic, complemented
141#19098727C2211yescharacteristic, complemented
142#19098727C2211yescharacteristic, complemented
143#19098721C2211yescharacteristic, complemented
144#19098716C2211yescharacteristic
145#19098716C2211yescharacteristic
146#19098716C2211yescharacteristic
147#19098716C2211yescharacteristic, complemented
148#19098716C2211yescharacteristic, complemented
149#19098716C2211yescharacteristic, complemented
150#19098716C2211yescharacteristic, complemented
151#19098716C2211yescharacteristic, complemented
152#19098716C2211yescharacteristic, complemented
153#19098716C2211yescharacteristic, complemented
154#19098716C2211yescharacteristic, complemented
155#19098716C2211yescharacteristic, complemented
156#19098716C2211yescharacteristic, complemented
157#19098716C2211yescharacteristic, complemented
158#19098716C2211yescharacteristic, complemented
159#19098710C2211yescharacteristic, complemented
160#19098710C2211yescharacteristic, complemented
161#19098710C2211yescharacteristic, complemented
162#19098710C2211yescharacteristic, complemented
163#19098710C2211yescharacteristic, complemented
164#19098704C2211yescharacteristic, complemented
165#19098704C2211yescharacteristic, complemented
166#19098704C2211yescharacteristic, complemented
167#19098699C2211yescharacteristic
168#19098699C2211yescharacteristic, complemented
169#19098699C2211yescharacteristic, complemented
170#19098699C2211yescharacteristic, complemented
171#19098699C2211yescharacteristic, complemented
172#19098676C2211yescharacteristic, complemented
173#19098665C2211yescharacteristic, complemented
174#19098665C2211yescharacteristic, complemented
175#19098665C2211yescharacteristic, complemented
176C4×#11929613C2211yescharacteristic, complemented
177C4×#11929613C2211yescharacteristic, complemented
178C4×#11929613C2211yescharacteristic, complemented
179C4×D632C2211yescharacteristic, complemented
180#19098569C2211yescharacteristic, complemented
181#19098569C2211yescharacteristic, complemented
182#19098569C2211yescharacteristic, complemented
183#19098565C2211yescharacteristic, complemented
184#19098560C2211yescharacteristic, complemented
185C2×#14579083C2211yescharacteristic, complemented
186C2×#14579083C2211yescharacteristic, complemented
187C2×#14579083C2211yescharacteristic, complemented
188#525×C79C2211yescharacteristic
189#436×C79C2211yescharacteristic, complemented
190#436×C79C2211yescharacteristic, complemented
191#435×C79C2211yescharacteristic, complemented
192#435×C79C2211yescharacteristic, complemented
193#435×C79C2211yescharacteristic, complemented
194#435×C79C2211yescharacteristic, complemented
195C8×D4×C79C2211yescharacteristic, complemented
196C8×D4×C79C2211yescharacteristic, complemented
197#433×C79C2211yescharacteristic, complemented
198#433×C79C2211yescharacteristic, complemented
199#408×C79C2211yescharacteristic, complemented
200#408×C79C2211yescharacteristic, complemented
201#407×C79C2211yescharacteristic, complemented
202C2×C22⋊C8×C79C2211yescharacteristic, complemented
203C24×D79—21no—
204#14579207—42no—
205#14579207—42no—
206C2×#11929625—21no—
207C2×#11929624C2311yescharacteristic
208C2×#11929624C2311yescharacteristic
209C2×#11929624C2311yescharacteristic
210C2×#11929624C2311yescharacteristic
211C2×#11929624C2311yescharacteristic, complemented
212C22×Dic158C2311yescharacteristic
213C22×Dic158C2311yescharacteristic, complemented
214C22×D316—21no—
215C22×D316—21no—
216C22×D316—21no—
217C22×D316—42no—
218C22×D316—42no—
219C22×D316C2311yescharacteristic
220C22×D316C2311yescharacteristic
221C22×D316C2311yescharacteristic
222C22×D316C2311yescharacteristic
223C22×D316C2311yescharacteristic
224C22×D316C2311yescharacteristic
225C22×D316C2311yescharacteristic
226C22×D316C2311yescharacteristic
227C2×D4×D79—21no—
228C2×D4×D79—21no—
229C2×D4×D79—21no—
230C2×D4×D79—21no—
231C2×D4×D79—21no—
232C2×D4×D79—21no—
233C2×D4×D79—21no—
234#14579194—42no—
235#14579189—42no—
236#14579189—42no—
237#14579189—42no—
238#14579183—42no—
239C2×Dic316C2311yescharacteristic, complemented
240C2×Dic316C2311yescharacteristic, complemented
241C2×Dic316C2311yescharacteristic, complemented
242C2×#11929613—42no—
243C2×#11929613—42no—
244C2×#11929613—42no—
245C2×#11929613C2311yescharacteristic
246C2×#11929613C2311yescharacteristic
247C2×#11929613C2311yescharacteristic
248C2×#11929613C2311yescharacteristic
249C2×#11929613C2311yescharacteristic
250C2×#11929613C2311yescharacteristic
251C2×#11929613C2311yescharacteristic
252C2×#11929613C2311yescharacteristic
253C2×#11929613C2311yescharacteristic
254C2×#11929613C2311yescharacteristic
255C2×#11929613C2311yescharacteristic
256C2×#11929613C2311yescharacteristic
257C2×#11929613C2311yescharacteristic, complemented
258C2×#11929613C2311yescharacteristic, complemented
259C2×#11929613C2311yescharacteristic, complemented
260C2×#11929613C2311yescharacteristic, complemented
261C2×D632C2311yescharacteristic
262C2×D632C2311yescharacteristic
263C2×D632C2311yescharacteristic
264C2×D632C2311yescharacteristic
265C2×D632C2311yescharacteristic, complemented
266#14579161C2311yescharacteristic, complemented
267#14579161C2311yescharacteristic, complemented
268#14579160—21no—
269#14579159—21no—
270#14579158C2311yescharacteristic
271#14579158C2311yescharacteristic
272#14579157—21no—
273#14579156—21no—
274#14579156—21no—
275#14579154—21no—
276#14579154—21no—
277#14579154—21no—
278#14579154—21no—
279#14579154—21no—
280#14579153C2311yescharacteristic, complemented
281#14579152—21no—
282#14579151—21no—
283#14579151—21no—
284#14579151—21no—
285#14579150—21no—
286#14579149C2311yescharacteristic
287#14579149C2311yescharacteristic
288#14579149C2311yescharacteristic, complemented
289#14579148—21no—
290#14579148—21no—
291#14579147—21no—
292#14579147—21no—
293#14579147—21no—
294#14579146—21no—
295#14579146—21no—
296#14579146—21no—
297#14579146—21no—
298#14579144—21no—
299#14579144—21no—
300#14579143—21no—
301#14579143—21no—
302#14579143—21no—
303#14579143—21no—
304#14579142—21no—
305#14579142—21no—
306#14579142—21no—
307#14579140—21no—
308#14579140—21no—
309#14579140C2311yescharacteristic
310#14579140C2311yescharacteristic
311#14579140C2311yescharacteristic
312#14579140C2311yescharacteristic
313#14579140C2311yescharacteristic
314#14579140C2311yescharacteristic
315#14579140C2311yescharacteristic
316#14579140C2311yescharacteristic
317#14579140C2311yescharacteristic, complemented
318#14579140C2311yescharacteristic, complemented
319#14579140C2311yescharacteristic, complemented
320#14579139—21no—
321#14579139—21no—
322#14579139—21no—
323#14579138—21no—
324#14579138—21no—
325#14579138—21no—
326#14579138—21no—
327#14579137—21no—
328#14579136—21no—
329#14579136—21no—
330#14579136—21no—
331#14579136—21no—
332#14579136—21no—
333#14579136—21no—
334#14579135C2311yescharacteristic
335#14579135C2311yescharacteristic
336#14579135C2311yescharacteristic
337#14579135C2311yescharacteristic
338#14579135C2311yescharacteristic
339#14579135C2311yescharacteristic
340#14579135C2311yescharacteristic
341#14579135C2311yescharacteristic
342#14579135C2311yescharacteristic, complemented
343#14579134—21no—
344#14579134—21no—
345#14579134—21no—
346#14579134—21no—
347#14579133—21no—
348#14579133—21no—
349#14579133—21no—
350#14579133—21no—
351#14579133—21no—
352#14579132—21no—
353#14579132—21no—
354#14579131—21no—
355#14579131—21no—
356#14579131—21no—
357#14579131—21no—
358#14579131—21no—
359#14579131—21no—
360#14579131—21no—
361#14579131—21no—
362#14579131—21no—
363#14579131—21no—
364#14579130—21no—
365#14579130—21no—
366#14579129—21no—
367#14579129—21no—
368#14579129—21no—
369#14579129—21no—
370#14579129—21no—
371#14579129—21no—
372C4×Dic158C2311yescharacteristic, complemented
373C4×Dic158C2311yescharacteristic, complemented
374C4×Dic158C2311yescharacteristic, complemented
375#14579126—21no—
376C4×D316C2311yescharacteristic
377C4×D316C2311yescharacteristic
378C4×D316C2311yescharacteristic
379C4×D316C2311yescharacteristic
380C4×D316C2311yescharacteristic, complemented
381D4×Dic79—21no—
382D4×Dic79—21no—
383#14579123—21no—
384#14579123—21no—
385C4×C22⋊D79—21no—
386C4×C22⋊D79—21no—
387C4×C22⋊D79—21no—
388C4×C22⋊D79—21no—
389(C22⋊D79)⋊C4—21no—
390(C22⋊D79)⋊C4—21no—
391(C22⋊D79)⋊C4—21no—
392#14579120C2311yescharacteristic
393#14579120C2311yescharacteristic
394#14579120C2311yescharacteristic, complemented
395#14579117—21no—
396C2×C4⋊Dic79C2311yescharacteristic
397C2×C4⋊Dic79C2311yescharacteristic, complemented
398C2×Dic79⋊C4—21no—
399C4⋊C4×D79—21no—
400C2×C22⋊Dic79—21no—
401C22⋊C4×D79—21no—
402C22⋊C4×D79—21no—
403C22⋊C4×D79—21no—
404C22⋊C4×D79—21no—
405C22⋊C4×D79—21no—
406C22⋊C4×D79—21no—
407#14579095C2311yescharacteristic, complemented
408#14579095C2311yescharacteristic, complemented
409#14579095C2311yescharacteristic, complemented
410#14579095C2311yescharacteristic, complemented
411#14579093C2311yescharacteristic, complemented
412#14579093C2311yescharacteristic, complemented
413#14579093C2311yescharacteristic, complemented
414#14579093C2311yescharacteristic, complemented
415#14579086C2311yescharacteristic, complemented
416#14579086C2311yescharacteristic, complemented
417#14579086C2311yescharacteristic, complemented
418#14579086C2311yescharacteristic, complemented
419#14579086C2311yescharacteristic, complemented
420#14579086C2311yescharacteristic, complemented
421#14579086C2311yescharacteristic, complemented
422#14579086C2311yescharacteristic, complemented
423#14579086C2311yescharacteristic, complemented
424#14579086C2311yescharacteristic, complemented
425#14579083C2311yescharacteristic
426#14579083C2311yescharacteristic
427#14579083C2311yescharacteristic
428#14579083C2311yescharacteristic
429#14579083C2311yescharacteristic
430#14579083C2311yescharacteristic
431#14579083C2311yescharacteristic
432#14579083C2311yescharacteristic
433#14579083C2311yescharacteristic
434#14579083C2311yescharacteristic
435#14579083C2311yescharacteristic
436#14579083C2311yescharacteristic
437#14579083C2311yescharacteristic
438#14579083C2311yescharacteristic
439#14579083C2311yescharacteristic
440#14579083C2311yescharacteristic
441#14579083C2311yescharacteristic, complemented
442#14579083C2311yescharacteristic, complemented
443#14579083C2311yescharacteristic, complemented
444#14579083C2311yescharacteristic, complemented
445#14579083C2311yescharacteristic, complemented
446#14579083C2311yescharacteristic, complemented
447C2×#41×C79C2311yescharacteristic
448C23×C4×C79C2311yescharacteristic
449C2×M16×C79C2311yescharacteristic
450C2×M16×C79C2311yescharacteristic
451C2×M16×C79C2311yescharacteristic, complemented
452C2×M16×C79C2311yescharacteristic, complemented
453C22×C8×C79C2311yescharacteristic
454C22×C8×C79C2311yescharacteristic
455C22×C8×C79C2311yescharacteristic, complemented
456C22×C8×C79C2311yescharacteristic, complemented
457#123×C79D411yescharacteristic
458#123×C79D411yescharacteristic
459C22⋊Q8×C79D411yescharacteristic
460C22⋊Q8×C79D411yescharacteristic
461#121×C79D411yescharacteristic
462#121×C79D411yescharacteristic
463#120×C79D411yescharacteristic
464#120×C79D411yescharacteristic
465C4×D4×C79C2311yescharacteristic
466C4×D4×C79C2311yescharacteristic
467C4×D4×C79C2311yescharacteristic
468C4×D4×C79C2311yescharacteristic
469#117×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic, complemented
471C4⋊C8×C79C2311yescharacteristic, complemented
472C4⋊C8×C79C2311yescharacteristic, complemented
473C4⋊C8×C79C2311yescharacteristic, complemented
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476C22⋊C8×C79C2311yescharacteristic
477C22⋊C8×C79C2311yescharacteristic
478C22⋊C8×C79C2311yescharacteristic
479C22⋊C8×C79C2311yescharacteristic
480C22⋊C8×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic, complemented
483C22⋊C8×C79C2311yescharacteristic, complemented
484C22⋊C8×C79C2311yescharacteristic, complemented
485C22⋊C8×C79C2311yescharacteristic, complemented
486#97×C79C2311yescharacteristic, complemented
487#97×C79C2311yescharacteristic, complemented
488C4×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—21no—
497C23×D79—21no—
498C23×D79—44no—
499C23×D79—82no—
500C23×D79—82no—
501#11929625—44no—
502#11929624—22no—
503#11929624—22no—
504#11929624—41no—
505#11929624—41no—
506#11929624—41no—
507#11929624—41no—
508#11929624—41no—
509#11929624—41no—
510#11929624—41no—
511#11929624—41no—
512C2×Dic158—21no—
513C2×Dic158—21no—
514C2×Dic158—21no—
515C2×Dic158—41no—
516C2×Dic158—41no—
517C2×Dic158—41no—
518C2×Dic158—41no—
519C2×Dic158C2411yescharacteristic
520C2×Dic158C2411yescharacteristic
521C2×Dic158C2411yescharacteristic
522C2×Dic158C2411yescharacteristic
523C2×D316—22no—
524C2×D316—22no—
525C2×D316—22no—
526C2×D316—22no—
527C2×D316—22no—
528C2×D316—22no—
529C2×D316—22no—
530C2×D316—22no—
531C2×D316—21no—
532C2×D316—21no—
533C2×D316—21no—
534C2×D316—21no—
535C2×D316—21no—
536C2×D316—21no—
537C2×D316—21no—
538C2×D316—21no—
539C2×D316—21no—
540C2×D316—21no—
541C2×D316—21no—
542C2×D316—21no—
543C2×D316—41no—
544C2×D316—41no—
545C2×D316—41no—
546C2×D316—41no—
547C2×D316—41no—
548C2×D316—41no—
549C2×D316—41no—
550C2×D316—41no—
551C2×D316—44no—
552C2×D316—44no—
553C2×D316—44no—
554C2×D316C2411yescharacteristic
555C2×D316C2411yescharacteristic
556C2×D316C2411yescharacteristic
557C2×D316C2411yescharacteristic
558C2×D316C2411yescharacteristic
559C2×D316C2411yescharacteristic
560C2×C22⋊D79—21no—
561C2×C22⋊D79—21no—
562C2×C22⋊D79—21no—
563C2×C22⋊D79—21no—
564C2×C22⋊D79—21no—
565C2×C22⋊D79—21no—
566C2×C22⋊D79—21no—
567C2×C22⋊D79—21no—
568C2×C22⋊D79—21no—
569C2×C22⋊D79—21no—
570C2×C22⋊D79—21no—
571C2×C22⋊D79—21no—
572C2×C22⋊D79—21no—
573C2×C22⋊D79—21no—
574D4×D79—44no—
575D4×D79—44no—
576D4×D79—44no—
577D4×D79—82no—
578D4×D79—82no—
579D4×D79—82no—
580D4×D79—82no—
581C22×Dic79—21no—
582C22×Dic79—21no—
583C22×Dic79—21no—
584C22×Dic79—21no—
585C2×C4×D79—21no—
586C2×C4×D79—21no—
587C2×C4×D79—21no—
588C2×C4×D79—21no—
589C2×C4×D79—21no—
590C2×C4×D79—21no—
591C2×C4×D79—21no—
592C2×C4×D79—21no—
593C2×C4×D79—21no—
594C2×C4×D79—21no—
595Dic316—41no—
596Dic316—41no—
597Dic316—41no—
598#11929613—22no—
599#11929613—22no—
600#11929613—22no—
601#11929613—22no—
602#11929613—22no—
603#11929613—22no—
604#11929613—41no—
605#11929613—41no—
606#11929613—41no—
607#11929613—41no—
608#11929613—41no—
609#11929613—41no—
610#11929613—41no—
611#11929613—41no—
612#11929613—41no—
613#11929613—41no—
614D632—22no—
615D632—22no—
616D632—41no—
617D632—41no—
618D632—41no—
619C4⋊Dic79—21no—
620C4⋊Dic79—21no—
621C4⋊Dic79—21no—
622C4⋊Dic79—21no—
623C4⋊Dic79—21no—
624C4⋊Dic79C2411yescharacteristic
625C4⋊Dic79C2411yescharacteristic
626C4⋊Dic79C2411yescharacteristic
627C4⋊Dic79C2411yescharacteristic
628C4⋊Dic79C2411yescharacteristic
629C4⋊Dic79C2411yescharacteristic
630Dic79⋊C4—21no—
631Dic79⋊C4—21no—
632Dic79⋊C4—21no—
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⋊C4—21no—
642Dic79⋊C4—21no—
643Dic79⋊C4—21no—
644Dic79⋊C4—21no—
645Dic79⋊C4—21no—
646C22⋊Dic79—21no—
647C22⋊Dic79—21no—
648C22⋊Dic79—21no—
649C22⋊Dic79—21no—
650C22⋊Dic79—21no—
651C22⋊Dic79—21no—
652C22⋊Dic79—21no—
653C22⋊Dic79—21no—
654C22⋊Dic79—21no—
655C22⋊Dic79—21no—
656C22⋊Dic79—21no—
657C22⋊Dic79—21no—
658C22⋊Dic79—21no—
659C22⋊Dic79—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)⋊C4—21no—
677(C2×D79)⋊C4—21no—
678(C2×D79)⋊C4—21no—
679(C2×D79)⋊C4—21no—
680C4×Dic79—21no—
681C4×Dic79—21no—
682C4×Dic79—21no—
683C4×Dic79—21no—
684C4×Dic79—21no—
685C4×Dic79—21no—
686C24×C79C2×D411yescharacteristic
687#41×C79—41no—
688#41×C79—41no—
689C2×Q8×C79C2×D411yescharacteristic
690C2×D4×C79C2×D411yescharacteristic
691C2×D4×C79C2×D411yescharacteristic
692C2×D4×C79C2×D411yescharacteristic
693C2×D4×C79C2×D411yescharacteristic
694C2×D4×C79C2×D411yescharacteristic
695C2×D4×C79C2×D411yescharacteristic
696C2×D4×C79C2×D411yescharacteristic
697C22×C4×C79—41no—
698C22×C4×C79—41no—
699C22×C4×C79C2×D411yescharacteristic
700C22×C4×C79C2×D411yescharacteristic
701C22×C4×C79C2×D411yescharacteristic
702C22×C4×C79C2411yescharacteristic
703C22×C4×C79C2411yescharacteristic
704C22×C4×C79C2411yescharacteristic
705C22×C4×C79C2411yescharacteristic
706C22×C4×C79C2411yescharacteristic
707M16×C79—41no—
708M16×C79—41no—
709M16×C79—41no—
710M16×C79—41no—
711C2×C8×C79—41no—
712C2×C8×C79—41no—
713C2×C8×C79—41no—
714C2×C8×C79—41no—
715C2×C8×C79C2411yescharacteristic
716C2×C8×C79C2411yescharacteristic
717C2×C8×C79C2411yescharacteristic
718C2×C8×C79C2411yescharacteristic
719C2×C8×C79C2411yescharacteristic
720C2×C8×C79C2411yescharacteristic
721C2×C8×C79C2411yescharacteristic
722C2×C8×C79C2411yescharacteristic
723C4⋊C4×C79C2×D411yescharacteristic
724C4⋊C4×C79C2×D411yescharacteristic
725C4⋊C4×C79C2×D411yescharacteristic
726C4⋊C4×C79C2×D411yescharacteristic
727C4⋊C4×C79C2×D411yescharacteristic
728C4⋊C4×C79C2×D411yescharacteristic
729C22⋊C4×C79C2×D411yescharacteristic
730C22⋊C4×C79C2×D411yescharacteristic
731C22⋊C4×C79C2×D411yescharacteristic
732C22⋊C4×C79C2×D411yescharacteristic
733C22⋊C4×C79C2×D411yescharacteristic
734C22⋊C4×C79C2×D411yescharacteristic
735C22⋊C4×C79C2×D411yescharacteristic
736C22⋊C4×C79C2×D411yescharacteristic
737C22⋊C4×C79C2×D411yescharacteristic
738C22⋊C4×C79C2×D411yescharacteristic
739C42×C79C2411yescharacteristic
740C42×C79C2411yescharacteristic
741C23×C79—22no—
742C23×C79—41no—
743C23×C79—41no—
744C23×C79C22×D411yescharacteristic
745C23×C79C22×D411yescharacteristic
746C23×C79C22×D411yescharacteristic
747C23×C79C22×D411yescharacteristic
748C23×C79C22×D411yescharacteristic
749C22×D79—21no—
750C22×D79—21no—
751C22×D79—24no—
752C22×D79—21no—
753C22×D79—21no—
754C22×D79—21no—
755C22×D79—21no—
756C22×D79—42no—
757C22×D79—42no—
758C22×D79—42no—
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—81no—
777C22×D79—81no—
778C22×D79—81no—
779C22×D79—816no—
780Q8×C79—41no—
781D4×C79—22no—
782D4×C79—22no—
783D4×C79—41no—
784D4×C79—41no—
785D4×C79—41no—
786D4×C79—41no—
787D4×C79—41no—
788C2×C4×C79—21no—
789C2×C4×C79—21no—
790C2×C4×C79—21no—
791C2×C4×C79—21no—
792C2×C4×C79—21no—
793C2×C4×C79—21no—
794C2×C4×C79—21no—
795C2×C4×C79—21no—
796C2×C4×C79—21no—
797C2×C4×C79—21no—
798C2×C4×C79—41no—
799C2×C4×C79—41no—
800C2×C4×C79—41no—
801C2×C4×C79C22×D411yescharacteristic
802C2×C4×C79C22×D411yescharacteristic
803C2×C4×C79C22×D411yescharacteristic
804C2×C4×C79C22×D411yescharacteristic
805C2×C4×C79C22×D411yescharacteristic
806C2×C4×C79C22×D411yescharacteristic
807C2×C4×C79C22×D411yescharacteristic
808C2×C4×C79C22×D411yescharacteristic
809C2×C4×C79C22×D411yescharacteristic
810C2×C4×C79C2511yescharacteristic
811C22⋊D79—42no—
812C22⋊D79—42no—
813C22⋊D79—42no—
814C22⋊D79—42no—
815C22⋊D79—42no—
816C22⋊D79—42no—
817C22⋊D79—81no—
818C22⋊D79—81no—
819C22⋊D79—81no—
820C22⋊D79—81no—
821C22⋊D79—81no—
822C22⋊D79—81no—
823C22⋊D79—81no—
824C22⋊D79—81no—
825C2×Dic79—21no—
826C2×Dic79—21no—
827C2×Dic79—21no—
828C2×Dic79—21no—
829C2×Dic79—21no—
830C2×Dic79—21no—
831C2×Dic79—21no—
832C2×Dic79—21no—
833C2×Dic79—21no—
834C2×Dic79—21no—
835C2×Dic79—81no—
836C2×Dic79—81no—
837C2×Dic79—81no—
838C2×Dic79—81no—
839D316—24no—
840D316—21no—
841D316—21no—
842D316—21no—
843D316—21no—
844D316—21no—
845D316—21no—
846D316—21no—
847D316—21no—
848D316—21no—
849D316—21no—
850D316—42no—
851D316—42no—
852D316—42no—
853D316—42no—
854D316—42no—
855D316—42no—
856D316—42no—
857D316—81no—
858D316—81no—
859D316—81no—
860D316—81no—
861D316H(5,𝔽2)12yes—
862D316H(5,𝔽2)12yes—
863C4×D79—42no—
864C4×D79—42no—
865C4×D79—42no—
866C4×D79—81no—
867C4×D79—81no—
868C4×D79—81no—
869C4×D79—81no—
870C4×D79—81no—
871C4×D79—81no—
872C4×D79—81no—
873Dic158—21no—
874Dic158—21no—
875Dic158—21no—
876Dic158—21no—
877Dic158—21no—
878Dic158—21no—
879Dic158—21no—
880Dic158—21no—
881Dic158—81no—
882Dic158—81no—
883Dic158—81no—
884C8×C79—21no—
885C8×C79—21no—
886C8×C79—21no—
887C8×C79—21no—
888C8×C79—21no—
889C8×C79—21no—
890C8×C79—21no—
891C8×C79—21no—
892C22×C79—21no—
893C22×C79—21no—
894C22×C79—21no—
895C22×C79—21no—
896C22×C79—21no—
897C22×C79—21no—
898C22×C79—21no—
899C22×C79—21no—
900C22×C79—21no—
901C22×C79—21no—
902C22×C79—21no—
903C22×C79—21no—
904C22×C79—21no—
905C22×C79—21no—
906C22×C79—44no—
907C22×C79#57712yes—
908C22×C79C23×D411yescharacteristic
909C2×D79—22no—
910C2×D79—22no—
911C2×D79—41no—
912C2×D79—41no—
913C2×D79—41no—
914C2×D79—41no—
915C2×D79—41no—
916C2×D79—41no—
917C2×D79—41no—
918C2×D79—41no—
919C2×D79—41no—
920C2×D79—41no—
921C2×D79—41no—
922C2×D79—41no—
923C2×D79—41no—
924C2×D79—41no—
925C2×D79—41no—
926C2×D79—41no—
927C2×D79—84no—
928C2×D79—84no—
929C2×D79—84no—
930C2×D79—84no—
931C2×D79—84no—
932C2×D79—84no—
933C2×D79—162no—
934C2×D79—162no—
935C4×C79—21no—
936C4×C79—21no—
937C4×C79—21no—
938C4×C79—21no—
939C4×C79—21no—
940C4×C79—21no—
941C4×C79—21no—
942C4×C79—21no—
943C4×C79—21no—
944C4×C79C2×H(5,𝔽2)11yescharacteristic
945C4×C79C2×H(5,𝔽2)11yescharacteristic
946Dic79—41no—
947Dic79—41no—
948Dic79—41no—
949Dic79—41no—
950Dic79—41no—
951Dic79—41no—
952Dic79—41no—
953Dic79—41no—
954Dic79—41no—
955Dic79—41no—
956#61610—791nomaximal, Sylow
957C2×C79—22no—
958C2×C79—41no—
959C2×C79—41no—
960C2×C79—41no—
961C2×C79—41no—
962C2×C79#348411yescharacteristic
963C2×C79C2×#57711yescharacteristic
964C2×C79#358511yescharacteristic
965D79—42no—
966D79—42no—
967D79—81no—
968D79—81no—
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#3295—791no—
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#2976D7911yescharacteristic, complemented
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—791no—
1017#554—1581no—
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—791no—
1035D42—1581no—
1036D42—1581no—
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#525C2×D7911yescharacteristic
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#486—791no—
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#481—791no—
1074#481—791no—
1075#480—791no—
1076#478—791no—
1077#478—791no—
1078#476—791no—
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#465—791no—
1095#465—791no—
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#460—791no—
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#450—791no—
1130#450—791no—
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×SD16—791no—
1151C4×D8—791no—
1152#436C2×D7911yescharacteristic, complemented
1153#436C2×D7911yescharacteristic, complemented
1154#435C2×D7911yescharacteristic, complemented
1155#435C2×D7911yescharacteristic, complemented
1156#435C2×D7911yescharacteristic, complemented
1157#435C2×D7911yescharacteristic, complemented
1158C8×D4C2×D7911yescharacteristic, complemented
1159C8×D4C2×D7911yescharacteristic, complemented
1160#433C2×D7911yescharacteristic, complemented
1161#433C2×D7911yescharacteristic, complemented
1162#418—791no—
1163#418—791no—
1164#418—791no—
1165#417—791no—
1166#416—791no—
1167C2×#102—791no—
1168C2×#102—791no—
1169C2×#102—791no—
1170#408C2×D7911yescharacteristic, complemented
1171#408C2×D7911yescharacteristic, complemented
1172#407C2×D7911yescharacteristic, complemented
1173C2×C22⋊C8C2×D7911yescharacteristic, complemented
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—1581no—
1183C2×#41C22×D7911yescharacteristic
1184C22×Q8—791no—
1185C22×Q8—791no—
1186C22×D4—3162no—
1187C22×D4—3162no—
1188C22×D4—791no—
1189C22×D4—791no—
1190C22×D4—791no—
1191C22×D4—791no—
1192C22×D4—791no—
1193C22×D4—791no—
1194C22×D4—791no—
1195C22×D4—791no—
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×D4—1581no—
1205C22×D4—1581no—
1206C23×C4C22×D7911yescharacteristic
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×SD16—791no—
1232C2×SD16—791no—
1233C2×SD16—791no—
1234C2×D8—791no—
1235C2×D8—791no—
1236C2×D8—791no—
1237C2×D8—791no—
1238C2×D8—791no—
1239C2×M16C22×D7911yescharacteristic
1240C2×M16C22×D7911yescharacteristic
1241C2×M16C22×D7911yescharacteristic, complemented
1242C2×M16C22×D7911yescharacteristic, complemented
1243C22×C8C22×D7911yescharacteristic
1244C22×C8C22×D7911yescharacteristic
1245C22×C8C22×D7911yescharacteristic, complemented
1246C22×C8C22×D7911yescharacteristic, complemented
1247C4⋊Q8—791no—
1248C4⋊Q8—791no—
1249C4⋊Q8—1581no—
1250C4⋊Q8—1581no—
1251#127—791no—
1252#127—791no—
1253#127—1581no—
1254#126—1581no—
1255#126—1581no—
1256#126—1581no—
1257#126—1581no—
1258#126—1581no—
1259#126—1581no—
1260#126—1581no—
1261#125—791no—
1262#125—1581no—
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—1581no—
1276#123—1581no—
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#123D31611yescharacteristic
1289#123D31611yescharacteristic
1290C22⋊Q8—791no—
1291C22⋊Q8—791no—
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—1581no—
1302C22⋊Q8—1581no—
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⋊Q8D31611yescharacteristic
1312C22⋊Q8D31611yescharacteristic
1313#121—791no—
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—1581no—
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#121D31611yescharacteristic
1340#121D31611yescharacteristic
1341#120—1581no—
1342#120—1581no—
1343#120—1581no—
1344#120—1581no—
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#120D31611yescharacteristic
1360#120D31611yescharacteristic
1361C4×Q8—791no—
1362C4×Q8—791no—
1363C4×Q8—791no—
1364C4×Q8—1581no—
1365C4×D4—791no—
1366C4×D4—791no—
1367C4×D4—791no—
1368C4×D4—791no—
1369C4×D4—791no—
1370C4×D4—1581no—
1371C4×D4—1581no—
1372C4×D4—1581no—
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×D4C22×D7911yescharacteristic
1382C4×D4C22×D7911yescharacteristic
1383C4×D4C22×D7911yescharacteristic
1384C4×D4C22×D7911yescharacteristic
1385#117—791no—
1386#117—791no—
1387#117—791no—
1388#117—1581no—
1389#117C22×D7911yescharacteristic
1390C2×C4⋊C4—791no—
1391C2×C4⋊C4—791no—
1392C2×C4⋊C4—1581no—
1393C2×C4⋊C4—1581no—
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#106—791no—
1407#106—791no—
1408#106—791no—
1409C4⋊C8C22×D7911yescharacteristic, complemented
1410C4⋊C8C22×D7911yescharacteristic, complemented
1411C4⋊C8C22×D7911yescharacteristic, complemented
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#103—791no—
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#102—791no—
1437#102—791no—
1438#102—791no—
1439#102—791no—
1440#102—791no—
1441#102—791no—
1442#102—791no—
1443#102—791no—
1444#102—791no—
1445C22⋊C8C22×D7911yescharacteristic
1446C22⋊C8C22×D7911yescharacteristic
1447C22⋊C8C22×D7911yescharacteristic
1448C22⋊C8C22×D7911yescharacteristic
1449C22⋊C8C22×D7911yescharacteristic
1450C22⋊C8C22×D7911yescharacteristic
1451C22⋊C8C22×D7911yescharacteristic
1452C22⋊C8C22×D7911yescharacteristic
1453C22⋊C8C22×D7911yescharacteristic, complemented
1454C22⋊C8C22×D7911yescharacteristic, complemented
1455C22⋊C8C22×D7911yescharacteristic, complemented
1456C22⋊C8C22×D7911yescharacteristic, complemented
1457#97C22×D7911yescharacteristic, complemented
1458#97C22×D7911yescharacteristic, complemented
1459C4×C8C22×D7911yescharacteristic, complemented
1460C4×C8C22×D7911yescharacteristic, complemented
1461C24—3164no—
1462C24—6322no—
1463C24—6322no—
1464C24—1581no—
1465C24—1581no—
1466C24—1581no—
1467C24—1581no—
1468C24—1581no—
1469C24—1581no—
1470C24—1581no—
1471C24—1581no—
1472C24C2×D31611yescharacteristic
1473#41—41no—
1474#41—41no—
1475#41—3161no—
1476#41—3161no—
1477#41—3161no—
1478#41—3161no—
1479#41—3161no—
1480#41—3161no—
1481#41—3161no—
1482#41—3161no—
1483#41—3164no—
1484#41—1582no—
1485#41—1582no—
1486C2×Q8—3161no—
1487C2×Q8—3161no—
1488C2×Q8—3161no—
1489C2×Q8—3161no—
1490C2×Q8—791no—
1491C2×Q8—791no—
1492C2×Q8—791no—
1493C2×Q8—791no—
1494C2×Q8—1581no—
1495C2×Q8—1581no—
1496C2×Q8—1581no—
1497C2×Q8C2×D31611yescharacteristic
1498C2×D4—3161no—
1499C2×D4—3161no—
1500C2×D4—3161no—
1501C2×D4—3161no—
1502C2×D4—3161no—
1503C2×D4—3161no—
1504C2×D4—3161no—
1505C2×D4—3161no—
1506C2×D4—3164no—
1507C2×D4—3164no—
1508C2×D4—3164no—
1509C2×D4—3164no—
1510C2×D4—3164no—
1511C2×D4—3164no—
1512C2×D4—791no—
1513C2×D4—791no—
1514C2×D4—791no—
1515C2×D4—791no—
1516C2×D4—791no—
1517C2×D4—791no—
1518C2×D4—6322no—
1519C2×D4—6322no—
1520C2×D4—6322no—
1521C2×D4—6322no—
1522C2×D4—1582no—
1523C2×D4—1582no—
1524C2×D4—1582no—
1525C2×D4—1582no—
1526C2×D4—1582no—
1527C2×D4—1582no—
1528C2×D4—1582no—
1529C2×D4—1582no—
1530C2×D4—1581no—
1531C2×D4—1581no—
1532C2×D4—1581no—
1533C2×D4—1581no—
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—1581no—
1546C2×D4—1581no—
1547C2×D4—1581no—
1548C2×D4—1581no—
1549C2×D4—1581no—
1550C2×D4—1581no—
1551C2×D4—1581no—
1552C2×D4—1581no—
1553C2×D4—1581no—
1554C2×D4—1581no—
1555C2×D4—1581no—
1556C2×D4C2×D31611yescharacteristic
1557C2×D4C2×D31611yescharacteristic
1558C2×D4C2×D31611yescharacteristic
1559C2×D4C2×D31611yescharacteristic
1560C2×D4C2×D31611yescharacteristic
1561C2×D4C2×D31611yescharacteristic
1562C2×D4C2×D31611yescharacteristic
1563C22×C4—41no—
1564C22×C4—41no—
1565C22×C4—1581no—
1566C22×C4—1581no—
1567C22×C4—1581no—
1568C22×C4—1581no—
1569C22×C4—1581no—
1570C22×C4—1581no—
1571C22×C4—1581no—
1572C22×C4—1581no—
1573C22×C4—1581no—
1574C22×C4—1581no—
1575C22×C4—1581no—
1576C22×C4—1581no—
1577C22×C4—1581no—
1578C22×C4—1581no—
1579C22×C4C2×D31611yescharacteristic
1580C22×C4C2×D31611yescharacteristic
1581C22×C4C2×D31611yescharacteristic
1582C22×C4C23×D7911yescharacteristic
1583C22×C4C23×D7911yescharacteristic
1584C22×C4C23×D7911yescharacteristic
1585C22×C4C23×D7911yescharacteristic
1586C22×C4C23×D7911yescharacteristic
1587Q16—3161no—
1588Q16—3161no—
1589Q16—3161no—
1590SD16—3161no—
1591SD16—3161no—
1592SD16—3161no—
1593SD16—3161no—
1594SD16—3161no—
1595SD16—3161no—
1596SD16—3161no—
1597SD16—3161no—
1598SD16—3161no—
1599SD16—3161no—
1600SD16—1582no—
1601SD16—1582no—
1602SD16—1582no—
1603SD16—1582no—
1604SD16—1582no—
1605SD16—1582no—
1606D8—3161no—
1607D8—3161no—
1608D8—3161no—
1609D8—1582no—
1610D8—1582no—
1611M16—41no—
1612M16—41no—
1613M16—41no—
1614M16—41no—
1615C2×C8—41no—
1616C2×C8—41no—
1617C2×C8—41no—
1618C2×C8—41no—
1619C2×C8C23×D7911yescharacteristic
1620C2×C8C23×D7911yescharacteristic
1621C2×C8C23×D7911yescharacteristic
1622C2×C8C23×D7911yescharacteristic
1623C2×C8C23×D7911yescharacteristic
1624C2×C8C23×D7911yescharacteristic
1625C2×C8C23×D7911yescharacteristic
1626C2×C8C23×D7911yescharacteristic
1627C4⋊C4—791no—
1628C4⋊C4—791no—
1629C4⋊C4—791no—
1630C4⋊C4—791no—
1631C4⋊C4—791no—
1632C4⋊C4—791no—
1633C4⋊C4—1581no—
1634C4⋊C4—1581no—
1635C4⋊C4—1581no—
1636C4⋊C4—1581no—
1637C4⋊C4—1581no—
1638C4⋊C4—1581no—
1639C4⋊C4—1581no—
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⋊C4C2×D31611yescharacteristic
1655C4⋊C4C2×D31611yescharacteristic
1656C4⋊C4C2×D31611yescharacteristic
1657C4⋊C4C2×D31611yescharacteristic
1658C4⋊C4C2×D31611yescharacteristic
1659C4⋊C4C2×D31611yescharacteristic
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—
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⋊C4C2×D31611yescharacteristic
1695C22⋊C4C2×D31611yescharacteristic
1696C22⋊C4C2×D31611yescharacteristic
1697C22⋊C4C2×D31611yescharacteristic
1698C22⋊C4C2×D31611yescharacteristic
1699C22⋊C4C2×D31611yescharacteristic
1700C22⋊C4C2×D31611yescharacteristic
1701C22⋊C4C2×D31611yescharacteristic
1702C22⋊C4C2×D31611yescharacteristic
1703C22⋊C4C2×D31611yescharacteristic
1704C42—1581no—
1705C42—1581no—
1706C42—1581no—
1707C42—1581no—
1708C42—1581no—
1709C42—1581no—
1710C42C23×D7911yescharacteristic
1711C42C23×D7911yescharacteristic
1712C23—22no—
1713C23—41no—
1714C23—41no—
1715C23—3162no—
1716C23—3162no—
1717C23—3162no—
1718C23—3162no—
1719C23—3162no—
1720C23—3162no—
1721C23—3162no—
1722C23—3162no—
1723C23—3162no—
1724C23—3162no—
1725C23—3162no—
1726C23—6321no—
1727C23—6321no—
1728C23—6321no—
1729C23—6321no—
1730C23—6321no—
1731C23—6321no—
1732C23—6321no—
1733C23—6321no—
1734C23—6321no—
1735C23—6321no—
1736C23—6321no—
1737C23—6321no—
1738C23—63216no—
1739C23—1584no—
1740C23—1581no—
1741C23—1581no—
1742C23—1581no—
1743C23—1581no—
1744C23—1581no—
1745C23—1581no—
1746C23C22×D31611yescharacteristic
1747C23C22×D31611yescharacteristic
1748C23C22×D31611yescharacteristic
1749C23C22×D31611yescharacteristic
1750C23C22×D31611yescharacteristic
1751Q8—41no—
1752Q8—6321no—
1753Q8—6321no—
1754Q8—6321no—
1755Q8—1581no—
1756Q8—1581no—
1757Q8—1581no—
1758Q8—1581no—
1759Q8—1581no—
1760Q8—1581no—
1761Q8—1581no—
1762Q8—1581no—
1763D4—22no—
1764D4—22no—
1765D4—41no—
1766D4—41no—
1767D4—41no—
1768D4—41no—
1769D4—41no—
1770D4—3162no—
1771D4—3162no—
1772D4—3162no—
1773D4—3162no—
1774D4—3162no—
1775D4—3162no—
1776D4—3162no—
1777D4—3162no—
1778D4—3162no—
1779D4—3162no—
1780D4—3162no—
1781D4—3162no—
1782D4—3162no—
1783D4—792no—
1784D4—792no—
1785D4—6321no—
1786D4—6321no—
1787D4—6321no—
1788D4—6321no—
1789D4—6321no—
1790D4—6321no—
1791D4—6321no—
1792D4—6321no—
1793D4—6321no—
1794D4—6321no—
1795D4—6321no—
1796D4—6321no—
1797D4—1584no—
1798D4—1581no—
1799D4—1581no—
1800D4—1581no—
1801D4—1581no—
1802D4—1581no—
1803D4—1581no—
1804D4—1581no—
1805D4—1581no—
1806D4—1581no—
1807D4—1581no—
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—21no—
1818C2×C4—41no—
1819C2×C4—41no—
1820C2×C4—41no—
1821C2×C4—3162no—
1822C2×C4—3162no—
1823C2×C4—3162no—
1824C2×C4—6321no—
1825C2×C4—6321no—
1826C2×C4—6321no—
1827C2×C4—6321no—
1828C2×C4—6321no—
1829C2×C4—6321no—
1830C2×C4—6321no—
1831C2×C4—6321no—
1832C2×C4—6321no—
1833C2×C4—6321no—
1834C2×C4—6321no—
1835C2×C4—1581no—
1836C2×C4—1581no—
1837C2×C4—1581no—
1838C2×C4—1581no—
1839C2×C4—1581no—
1840C2×C4—1581no—
1841C2×C4—1581no—
1842C2×C4—1581no—
1843C2×C4—1581no—
1844C2×C4—1581no—
1845C2×C4C22×D31611yescharacteristic
1846C2×C4C22×D31611yescharacteristic
1847C2×C4C22×D31611yescharacteristic
1848C2×C4C22×D31611yescharacteristic
1849C2×C4C22×D31611yescharacteristic
1850C2×C4C22×D31611yescharacteristic
1851C2×C4C22×D31611yescharacteristic
1852C2×C4C22×D31611yescharacteristic
1853C2×C4C22×D31611yescharacteristic
1854C2×C4C24×D7911yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—21no—
1860C8—21no—
1861C8—21no—
1862C8—21no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—44no—
1878C22—3161no—
1879C22—3161no—
1880C22—3161no—
1881C22—3161no—
1882C22—3161no—
1883C22—3161no—
1884C22—3161no—
1885C22—3161no—
1886C22—3161no—
1887C22—3161no—
1888C22—3161no—
1889C22—3161no—
1890C22—3161no—
1891C22—3161no—
1892C22—3161no—
1893C22—3161no—
1894C22—6324no—
1895C22—6324no—
1896C22—6324no—
1897C22—6324no—
1898C22—6324no—
1899C22—6324no—
1900C22—1582no—
1901C22—1582no—
1902C22—12642no—
1903C22—12642no—
1904C22#1909937512yes—
1905C22C23×D31611yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—21no—
1911C4—21no—
1912C4—21no—
1913C4—21no—
1914C4—21no—
1915C4—3161no—
1916C4—3161no—
1917C4—3161no—
1918C4—3161no—
1919C4—3161no—
1920C4—3161no—
1921C4—3161no—
1922C4—3161no—
1923C4—3161no—
1924C4—3161no—
1925C4H(5,𝔽2)×D7911yescharacteristic
1926C4H(5,𝔽2)×D7911yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—41no—
1930C2—41no—
1931C2—41no—
1932C2—3162no—
1933C2—3162no—
1934C2—6321no—
1935C2—6321no—
1936C2—6321no—
1937C2—6321no—
1938C2#2377703611yescharacteristic
1939C2C2×#1909937511yescharacteristic
1940C2#2377818111yescharacteristic
subgroupG/H
centerC22C23×D316
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#2976C2
socleC22×C79C23×D4
hypercenter#2976D79
hypocenterC79#61610
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #525 ◁ #2976

Complements

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

NH ≅ G/Ntype
1. #23777693C2semidirect
2. #23777033C2semidirect
3. #23775632C2semidirect
4. #23775618C2semidirect
5. #23775543C2semidirect
6. #23775483C2semidirect
7. #23775438C2semidirect
8. #23775423C2semidirect
9. #23775252C2semidirect
10. #23775225C2semidirect
11. #23775112C2semidirect
12. D4×#11929613C2semidirect
13. #23775036C2semidirect
14. #23775002C2semidirect
15. #23774930C2semidirect
16. #23774915C2semidirect
17. #23774900C2semidirect
18. #23774900C2semidirect
19. #23774496C2semidirect
20. #23774474C2semidirect
21. #23774273C2semidirect
22. #23774254C2semidirect
23. #23774232C2semidirect
24. #23774193C2semidirect
25. #23773653C2semidirect
26. #23773586C2semidirect
27. #23772707C2semidirect
28. #23772679C2semidirect
29. #23772630C2semidirect
30. C2×#19098716C2semidirect
31. C79×#2976C2semidirect
34. C2×#14579194C22semidirect
35. C2×#14579189C22semidirect
36. C2×#14579189C22semidirect
37. C2×#14579189C22semidirect
38. C2×#14579183C22semidirect
39. C22×#11929613C22semidirect
40. C22×#11929613C22semidirect
41. C22×#11929613C22semidirect
44. #19099283C22semidirect
45. #19099270C22semidirect
47. #19099259C22semidirect
49. #19099253C22semidirect
50. D4×Dic158C22semidirect
51. #19099222C22semidirect
52. #19099222C22semidirect
53. #19099218C22semidirect
66. #19099184C22semidirect
68. #19099175C22semidirect
72. #19099141C22semidirect
73. #19099134C22semidirect
79. #19099074C22semidirect
80. C2×#14579140C22semidirect
84. #19098957C22semidirect
85. #19098952C22semidirect
86. #19098947C22semidirect
87. #19098936C22semidirect
88. #19098928C22semidirect
89. #19098923C22semidirect
90. #19098918C22semidirect
91. #19098910C22semidirect
92. #19098905C22semidirect
93. #19098905C22semidirect
94. #19098905C22semidirect
95. #19098905C22semidirect
96. #19098899C22semidirect
97. #19098888C22semidirect
98. #19098888C22semidirect
99. #19098888C22semidirect
100. #19098888C22semidirect
101. #19098882C22semidirect
102. #19098882C22semidirect
103. #19098877C22semidirect
104. #19098864C22semidirect
105. #19098864C22semidirect
106. #19098854C22semidirect
107. #19098844C22semidirect
108. #19098821C22semidirect
109. #19098821C22semidirect
110. #19098816C22semidirect
111. #19098809C22semidirect
112. #19098809C22semidirect
113. #19098809C22semidirect
114. #19098809C22semidirect
115. #19098809C22semidirect
116. #19098804C22semidirect
117. #19098799C22semidirect
118. #19098799C22semidirect
119. #19098792C22semidirect
120. #19098792C22semidirect
121. #19098792C22semidirect
122. #19098792C22semidirect
123. #19098792C22semidirect
124. #19098786C22semidirect
125. #19098786C22semidirect
126. #19098786C22semidirect
127. #19098779C22semidirect
128. #19098779C22semidirect
129. #19098779C22semidirect
130. #19098769C22semidirect
131. #19098769C22semidirect
132. #19098764C22semidirect
133. #19098764C22semidirect
134. #19098764C22semidirect
135. #19098759C22semidirect
136. #19098727C22semidirect
137. #19098727C22semidirect
138. #19098727C22semidirect
139. #19098727C22semidirect
140. #19098727C22semidirect
141. #19098727C22semidirect
142. #19098727C22semidirect
143. #19098721C22semidirect
147. #19098716C22semidirect
148. #19098716C22semidirect
149. #19098716C22semidirect
150. #19098716C22semidirect
151. #19098716C22semidirect
152. #19098716C22semidirect
153. #19098716C22semidirect
154. #19098716C22semidirect
155. #19098716C22semidirect
156. #19098716C22semidirect
157. #19098716C22semidirect
158. #19098716C22semidirect
159. #19098710C22semidirect
160. #19098710C22semidirect
161. #19098710C22semidirect
162. #19098710C22semidirect
163. #19098710C22semidirect
164. #19098704C22semidirect
165. #19098704C22semidirect
166. #19098704C22semidirect
168. #19098699C22semidirect
169. #19098699C22semidirect
170. #19098699C22semidirect
171. #19098699C22semidirect
172. #19098676C22semidirect
173. #19098665C22semidirect
174. #19098665C22semidirect
175. #19098665C22semidirect
176. C4×#11929613C22semidirect
177. C4×#11929613C22semidirect
178. C4×#11929613C22semidirect
179. C4×D632C22semidirect
180. #19098569C22semidirect
181. #19098569C22semidirect
182. #19098569C22semidirect
183. #19098565C22semidirect
184. #19098560C22semidirect
185. C2×#14579083C22semidirect
186. C2×#14579083C22semidirect
187. C2×#14579083C22semidirect
189. #436×C79C22semidirect
190. #436×C79C22semidirect
191. #435×C79C22semidirect
192. #435×C79C22semidirect
193. #435×C79C22semidirect
194. #435×C79C22semidirect
195. C8×D4×C79C22semidirect
196. C8×D4×C79C22semidirect
197. #433×C79C22semidirect
198. #433×C79C22semidirect
199. #408×C79C22semidirect
200. #408×C79C22semidirect
201. #407×C79C22semidirect
202. C2×C22⋊C8×C79C22semidirect
211. C2×#11929624C23semidirect
213. C22×Dic158C23semidirect
239. C2×Dic316C23semidirect
240. C2×Dic316C23semidirect
241. C2×Dic316C23semidirect
257. C2×#11929613C23semidirect
258. C2×#11929613C23semidirect
259. C2×#11929613C23semidirect
260. C2×#11929613C23semidirect
265. C2×D632C23semidirect
266. #14579161C23semidirect
267. #14579161C23semidirect
280. #14579153C23semidirect
288. #14579149C23semidirect
317. #14579140C23semidirect
318. #14579140C23semidirect
319. #14579140C23semidirect
342. #14579135C23semidirect
372. C4×Dic158C23semidirect
373. C4×Dic158C23semidirect
374. C4×Dic158C23semidirect
380. C4×D316C23semidirect
394. #14579120C23semidirect
397. C2×C4⋊Dic79C23semidirect
407. #14579095C23semidirect
408. #14579095C23semidirect
409. #14579095C23semidirect
410. #14579095C23semidirect
411. #14579093C23semidirect
412. #14579093C23semidirect
413. #14579093C23semidirect
414. #14579093C23semidirect
415. #14579086C23semidirect
416. #14579086C23semidirect
417. #14579086C23semidirect
418. #14579086C23semidirect
419. #14579086C23semidirect
420. #14579086C23semidirect
421. #14579086C23semidirect
422. #14579086C23semidirect
423. #14579086C23semidirect
424. #14579086C23semidirect
441. #14579083C23semidirect
442. #14579083C23semidirect
443. #14579083C23semidirect
444. #14579083C23semidirect
445. #14579083C23semidirect
446. #14579083C23semidirect
451. C2×M16×C79C23semidirect
452. C2×M16×C79C23semidirect
455. C22×C8×C79C23semidirect
456. C22×C8×C79C23semidirect
470. C4⋊C8×C79C23semidirect
471. C4⋊C8×C79C23semidirect
472. C4⋊C8×C79C23semidirect
473. C4⋊C8×C79C23semidirect
482. C22⋊C8×C79C23semidirect
483. C22⋊C8×C79C23semidirect
484. C22⋊C8×C79C23semidirect
485. C22⋊C8×C79C23semidirect
486. #97×C79C23semidirect
487. #97×C79C23semidirect
488. C4×C8×C79C23semidirect
489. C4×C8×C79C23semidirect
1001. #2976D79semidirect
1002. C79#61610semidirect
1152. #436C2×D79semidirect
1153. #436C2×D79semidirect
1154. #435C2×D79semidirect
1155. #435C2×D79semidirect
1156. #435C2×D79semidirect
1157. #435C2×D79semidirect
1158. C8×D4C2×D79semidirect
1159. C8×D4C2×D79semidirect
1160. #433C2×D79semidirect
1161. #433C2×D79semidirect
1170. #408C2×D79semidirect
1171. #408C2×D79semidirect
1172. #407C2×D79semidirect
1173. C2×C22⋊C8C2×D79semidirect
1241. C2×M16C22×D79semidirect
1242. C2×M16C22×D79semidirect
1245. C22×C8C22×D79semidirect
1246. C22×C8C22×D79semidirect
1409. C4⋊C8C22×D79semidirect
1410. C4⋊C8C22×D79semidirect
1411. C4⋊C8C22×D79semidirect
1412. C4⋊C8C22×D79semidirect
1453. C22⋊C8C22×D79semidirect
1454. C22⋊C8C22×D79semidirect
1455. C22⋊C8C22×D79semidirect
1456. C22⋊C8C22×D79semidirect
1457. #97C22×D79semidirect
1458. #97C22×D79semidirect
1459. C4×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
#237776932
#237770332
#237756322
#237756182
#237755432
#237754832
#237754382
#237754232
#237752522
#237752252
#237751122
D4×#119296132
#237750362
#237750022
#237749302
#237749152
#237749002
#237744962
#237744742
#237742732
#237742542
#237742322
#237741932
#237736532
#237735862
#237727072
#237726792
#237726302
C2×#190987162
C79×#29762
#6161079