Finite Group Databasebeta

← #35173271

Subgroups — #35173271

Order 20224.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777449C211yesmaximal, characteristic, complemented
2D4×#11929624C211yesmaximal, characteristic, complemented
3#23775528C211yesmaximal, characteristic, complemented
4#23775498C211yesmaximal, characteristic, complemented
5#23775468C211yesmaximal, characteristic, complemented
6#23775453C211yesmaximal, characteristic, complemented
7#23775438C211yesmaximal, characteristic, complemented
8#23775423C211yesmaximal, characteristic, complemented
9#23775393C211yesmaximal, characteristic, complemented
10#23775363C211yesmaximal, characteristic, complemented
11#23774990C211yesmaximal, characteristic, complemented
12#23774975C211yesmaximal, characteristic, complemented
13#23774975C211yesmaximal, characteristic, complemented
14#23774960C211yesmaximal, characteristic, complemented
15#23774960C211yesmaximal, characteristic, complemented
16#23774930C211yesmaximal, characteristic, complemented
17#23774915C211yesmaximal, characteristic, complemented
18#23774900C211yesmaximal, characteristic, complemented
19#23774439C211yesmaximal, characteristic, complemented
20#23774413C211yesmaximal, characteristic, complemented
21#23774242C211yesmaximal, characteristic, complemented
22#23774232C211yesmaximal, characteristic, complemented
23#23774193C211yesmaximal, characteristic, complemented
24#23774183C211yesmaximal, characteristic, complemented
25#23773563C211yesmaximal, characteristic, complemented
26#23773511C211yesmaximal, characteristic, complemented
27#23772662C211yesmaximal, characteristic, complemented
28#23772645C211yesmaximal, characteristic, complemented
29#23772622C211yesmaximal, characteristic, complemented
30C2×#19098727C211yesmaximal, characteristic, complemented
31C79×#2973C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33C22×#11929624C2211yescharacteristic
34C2×#14579194C2211yescharacteristic, complemented
35C2×#14579194C2211yescharacteristic, complemented
36C2×#14579194C2211yescharacteristic, complemented
37C2×#14579189C2211yescharacteristic, complemented
38C2×#14579183C2211yescharacteristic, complemented
39C2×#14579183C2211yescharacteristic, complemented
40C22×Dic316C2211yescharacteristic, complemented
41C22×#11929613C2211yescharacteristic, complemented
42#19099283C2211yescharacteristic, complemented
43#19099268—21no—
44#19099253C2211yescharacteristic
45#19099253C2211yescharacteristic, complemented
46#19099239—21no—
47#19099239—21no—
48#19099234C2211yescharacteristic
49D4×Dic158C2211yescharacteristic
50D4×Dic158C2211yescharacteristic, complemented
51#19099222C2211yescharacteristic
52#19099222C2211yescharacteristic
53#19099222C2211yescharacteristic
54#19099222C2211yescharacteristic, complemented
55#19099218C2211yescharacteristic
56#19099218C2211yescharacteristic, complemented
57#19099217C2211yescharacteristic, complemented
58#19099214—21no—
59#19099209C2211yescharacteristic
60#19099209C2211yescharacteristic
61#19099207—21no—
62#19099203—21no—
63#19099203—21no—
64D4×D316C2211yescharacteristic
65D4×C22⋊D79—21no—
66#19099178—21no—
67#19099155—21no—
68#19099155—21no—
69#19099120C2211yescharacteristic, complemented
70#19099113C2211yescharacteristic
71#19099110—21no—
72#19099097C2211yescharacteristic, complemented
73#19099074C2211yescharacteristic
74#19099074C2211yescharacteristic
75#19099074C2211yescharacteristic, complemented
76#19099074C2211yescharacteristic, complemented
77#19099072—21no—
78#19099072—21no—
79C2×#14579140C2211yescharacteristic, complemented
80C2×#14579140C2211yescharacteristic, complemented
81#19099042—21no—
82C4×#11929624C2211yescharacteristic
83C4×D4×D79—21no—
84#19098957C2211yescharacteristic, complemented
85#19098957C2211yescharacteristic, complemented
86#19098957C2211yescharacteristic, complemented
87#19098952C2211yescharacteristic, complemented
88#19098932C2211yescharacteristic, complemented
89#19098928C2211yescharacteristic, complemented
90#19098923C2211yescharacteristic, complemented
91#19098923C2211yescharacteristic, complemented
92#19098905C2211yescharacteristic, complemented
93#19098905C2211yescharacteristic, complemented
94#19098905C2211yescharacteristic, complemented
95#19098905C2211yescharacteristic, complemented
96#19098905C2211yescharacteristic, complemented
97#19098899C2211yescharacteristic, complemented
98#19098894C2211yescharacteristic, complemented
99#19098888C2211yescharacteristic, complemented
100#19098888C2211yescharacteristic, complemented
101#19098888C2211yescharacteristic, complemented
102#19098882C2211yescharacteristic, complemented
103#19098877C2211yescharacteristic, complemented
104#19098871C2211yescharacteristic, complemented
105#19098864C2211yescharacteristic, complemented
106#19098859C2211yescharacteristic, complemented
107#19098854C2211yescharacteristic, complemented
108#19098821C2211yescharacteristic, complemented
109#19098821C2211yescharacteristic, complemented
110#19098821C2211yescharacteristic, complemented
111#19098816C2211yescharacteristic, complemented
112#19098809C2211yescharacteristic, complemented
113#19098809C2211yescharacteristic, complemented
114#19098809C2211yescharacteristic, complemented
115#19098809C2211yescharacteristic, complemented
116#19098804C2211yescharacteristic, complemented
117#19098804C2211yescharacteristic, complemented
118#19098804C2211yescharacteristic, complemented
119#19098799C2211yescharacteristic, 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#19098774C2211yescharacteristic, complemented
131#19098774C2211yescharacteristic, complemented
132#19098774C2211yescharacteristic, complemented
133#19098769C2211yescharacteristic, complemented
134#19098764C2211yescharacteristic, complemented
135#19098764C2211yescharacteristic, complemented
136#19098727C2211yescharacteristic
137#19098727C2211yescharacteristic
138#19098727C2211yescharacteristic
139#19098727C2211yescharacteristic, complemented
140#19098727C2211yescharacteristic, complemented
141#19098727C2211yescharacteristic, complemented
142#19098727C2211yescharacteristic, complemented
143#19098727C2211yescharacteristic, complemented
144#19098727C2211yescharacteristic, complemented
145#19098727C2211yescharacteristic, complemented
146#19098727C2211yescharacteristic, complemented
147#19098727C2211yescharacteristic, complemented
148#19098727C2211yescharacteristic, complemented
149#19098727C2211yescharacteristic, complemented
150#19098727C2211yescharacteristic, complemented
151#19098727C2211yescharacteristic, complemented
152#19098727C2211yescharacteristic, complemented
153#19098721C2211yescharacteristic, complemented
154#19098721C2211yescharacteristic, complemented
155#19098721C2211yescharacteristic, complemented
156#19098721C2211yescharacteristic, complemented
157#19098721C2211yescharacteristic, complemented
158#19098716C2211yescharacteristic, complemented
159#19098716C2211yescharacteristic, complemented
160#19098716C2211yescharacteristic, complemented
161#19098710C2211yescharacteristic
162#19098710C2211yescharacteristic, complemented
163#19098710C2211yescharacteristic, complemented
164#19098710C2211yescharacteristic, complemented
165#19098710C2211yescharacteristic, complemented
166#19098710C2211yescharacteristic, complemented
167#19098710C2211yescharacteristic, complemented
168#19098704C2211yescharacteristic, complemented
169#19098704C2211yescharacteristic, complemented
170#19098704C2211yescharacteristic, complemented
171#19098699C2211yescharacteristic, complemented
172#19098676C2211yescharacteristic, complemented
173#19098671C2211yescharacteristic, complemented
174#19098671C2211yescharacteristic, complemented
175#19098671C2211yescharacteristic, complemented
176#19098665C2211yescharacteristic, complemented
177#19098665C2211yescharacteristic, complemented
178#19098665C2211yescharacteristic, complemented
179#19098665C2211yescharacteristic, complemented
180#19098573C2211yescharacteristic, complemented
181#19098569C2211yescharacteristic, complemented
182#19098565C2211yescharacteristic, complemented
183#19098565C2211yescharacteristic, complemented
184#19098560C2211yescharacteristic, complemented
185#19098560C2211yescharacteristic, complemented
186C2×#14579086C2211yescharacteristic, complemented
187C2×#14579083C2211yescharacteristic, complemented
188C2×C4×D4×C79C2211yescharacteristic
189#435×C79C2211yescharacteristic
190#435×C79C2211yescharacteristic
191#435×C79C2211yescharacteristic, complemented
192#435×C79C2211yescharacteristic, complemented
193#435×C79C2211yescharacteristic, complemented
194#435×C79C2211yescharacteristic, complemented
195#435×C79C2211yescharacteristic, complemented
196#435×C79C2211yescharacteristic, complemented
197#432×C79C2211yescharacteristic, complemented
198#432×C79C2211yescharacteristic, complemented
199#407×C79C2211yescharacteristic, complemented
200#407×C79C2211yescharacteristic, complemented
201C2×C22⋊C8×C79C2211yescharacteristic, complemented
202C2×C22⋊C8×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929624—21no—
205C2×#11929624—21no—
206C2×#11929624—21no—
207C2×#11929624—42no—
208C2×#11929624—42no—
209C2×#11929624—42no—
210C2×#11929624—42no—
211C2×#11929624C2311yescharacteristic
212C2×#11929624C2311yescharacteristic
213C2×#11929624C2311yescharacteristic
214C2×#11929624C2311yescharacteristic
215C2×#11929624C2311yescharacteristic
216C2×#11929624C2311yescharacteristic
217C2×#11929624C2311yescharacteristic
218C2×#11929624C2311yescharacteristic
219C2×#11929624C2311yescharacteristic
220C2×#11929623—21no—
221C22×Dic158C2311yescharacteristic
222C22×Dic158C2311yescharacteristic
223C22×Dic158C2311yescharacteristic
224C22×Dic158C2311yescharacteristic
225C22×D316C2311yescharacteristic
226C22×D316C2311yescharacteristic
227C22×C22⋊D79—21no—
228C22×C22⋊D79—21no—
229C2×D4×D79—21no—
230C22×C4×D79—21no—
231C22×C4×D79—21no—
232#14579194—42no—
233#14579194—42no—
234#14579194—42no—
235#14579189—42no—
236#14579183—42no—
237#14579183—42no—
238C2×Dic316—42no—
239C2×Dic316C2311yescharacteristic
240C2×Dic316C2311yescharacteristic
241C2×Dic316C2311yescharacteristic
242C2×Dic316C2311yescharacteristic
243C2×Dic316C2311yescharacteristic
244C2×Dic316C2311yescharacteristic
245C2×Dic316C2311yescharacteristic
246C2×Dic316C2311yescharacteristic
247C2×Dic316C2311yescharacteristic
248C2×#11929613—42no—
249C2×#11929613C2311yescharacteristic
250C2×#11929613C2311yescharacteristic
251C2×#11929613C2311yescharacteristic
252C2×#11929613C2311yescharacteristic
253C2×#11929613C2311yescharacteristic
254C2×#11929613C2311yescharacteristic
255C2×#11929613C2311yescharacteristic
256C2×#11929613C2311yescharacteristic
257C2×#11929613C2311yescharacteristic
258C2×#11929613C2311yescharacteristic
259C2×#11929613C2311yescharacteristic
260C2×#11929613C2311yescharacteristic
261C2×D632C2311yescharacteristic
262C2×D632C2311yescharacteristic
263C2×D632C2311yescharacteristic
264#14579161C2311yescharacteristic
265#14579161C2311yescharacteristic
266#14579161C2311yescharacteristic
267#14579160—21no—
268#14579160—21no—
269#14579158C2311yescharacteristic
270#14579157—21no—
271#14579155—21no—
272#14579154—21no—
273#14579154—21no—
274#14579154—21no—
275#14579154—21no—
276#14579153—21no—
277#14579153C2311yescharacteristic
278#14579151—21no—
279#14579151—21no—
280#14579149C2311yescharacteristic
281#14579149C2311yescharacteristic
282#14579149C2311yescharacteristic
283#14579148—21no—
284#14579147—21no—
285#14579147—21no—
286#14579147—21no—
287#14579147—21no—
288#14579146—21no—
289#14579146—21no—
290#14579145—21no—
291#14579145—21no—
292#14579144—21no—
293#14579144—21no—
294#14579144—21no—
295#14579144—21no—
296#14579144—21no—
297#14579143—21no—
298#14579143—21no—
299#14579143—21no—
300#14579143—21no—
301#14579142—21no—
302#14579142—21no—
303#14579141—21no—
304#14579140—21no—
305#14579140—21no—
306#14579140—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
318#14579140C2311yescharacteristic
319#14579140C2311yescharacteristic
320#14579140C2311yescharacteristic
321#14579140C2311yescharacteristic
322#14579139—21no—
323#14579139—21no—
324#14579139—21no—
325#14579139—21no—
326#14579138—21no—
327#14579138—21no—
328#14579138—21no—
329#14579138—21no—
330#14579136—21no—
331#14579135—21no—
332#14579135—21no—
333#14579135C2311yescharacteristic
334#14579135C2311yescharacteristic
335#14579135C2311yescharacteristic
336#14579135C2311yescharacteristic
337#14579135C2311yescharacteristic
338#14579135C2311yescharacteristic
339#14579135C2311yescharacteristic
340#14579134—21no—
341#14579134—21no—
342#14579134—21no—
343#14579134—21no—
344#14579133—21no—
345#14579133—21no—
346#14579133—21no—
347#14579133—21no—
348#14579132—21no—
349#14579132—21no—
350#14579131—21no—
351#14579131—21no—
352#14579130—21no—
353#14579130—21no—
354#14579130—21no—
355#14579130—21no—
356#14579129—21no—
357#14579129—21no—
358C4×Dic158—21no—
359C4×Dic158C2311yescharacteristic
360C4×Dic158C2311yescharacteristic
361C4×Dic158C2311yescharacteristic
362C4×Dic158C2311yescharacteristic
363C4×Dic158C2311yescharacteristic
364#14579126—21no—
365C4×D316—21no—
366C4×D316—21no—
367C4×D316C2311yescharacteristic
368C4×D316C2311yescharacteristic
369C4×D316C2311yescharacteristic
370D4×Dic79—21no—
371D4×Dic79—21no—
372#14579123—21no—
373C4×C22⋊D79—21no—
374C4×C22⋊D79—21no—
375C4×C22⋊D79—21no—
376C4×C22⋊D79—21no—
377C4×C22⋊D79—21no—
378C4×C22⋊D79—21no—
379C4×C22⋊D79—21no—
380C4×C22⋊D79—21no—
381C4×C22⋊D79—21no—
382C4×C22⋊D79—21no—
383C4×C22⋊D79—21no—
384(C22⋊D79)⋊C4—21no—
385(C22⋊D79)⋊C4—21no—
386(C22⋊D79)⋊C4—21no—
387(C22⋊D79)⋊C4—21no—
388#14579120—21no—
389#14579120C2311yescharacteristic
390#14579120C2311yescharacteristic
391#14579120C2311yescharacteristic
392#14579118—21no—
393#14579118—21no—
394#14579117—21no—
395#14579117—21no—
396C2×C4⋊Dic79C2311yescharacteristic
397C2×C4⋊Dic79C2311yescharacteristic
398C2×Dic79⋊C4—21no—
399C2×Dic79⋊C4—21no—
400C4⋊C4×D79—21no—
401C4⋊C4×D79—21no—
402C2×C22⋊Dic79—21no—
403C2×C22⋊Dic79—21no—
404C22⋊C4×D79—21no—
405C22⋊C4×D79—21no—
406C42×D79—21no—
407#14579095C2311yescharacteristic
408#14579095C2311yescharacteristic
409#14579095C2311yescharacteristic
410#14579095C2311yescharacteristic
411#14579093C2311yescharacteristic
412#14579093C2311yescharacteristic
413#14579093C2311yescharacteristic
414#14579093C2311yescharacteristic
415#14579086C2311yescharacteristic
416#14579086C2311yescharacteristic
417#14579086C2311yescharacteristic
418#14579086C2311yescharacteristic
419#14579086C2311yescharacteristic
420#14579086C2311yescharacteristic
421#14579086C2311yescharacteristic
422#14579086C2311yescharacteristic
423#14579086C2311yescharacteristic
424#14579086C2311yescharacteristic
425#14579086C2311yescharacteristic
426#14579086C2311yescharacteristic
427#14579086C2311yescharacteristic
428#14579086C2311yescharacteristic
429#14579086C2311yescharacteristic
430#14579086C2311yescharacteristic
431#14579086C2311yescharacteristic
432#14579086C2311yescharacteristic
433#14579083C2311yescharacteristic
434#14579083C2311yescharacteristic
435#14579083C2311yescharacteristic
436#14579083C2311yescharacteristic
437#14579083C2311yescharacteristic
438#14579083C2311yescharacteristic
439#14579083C2311yescharacteristic
440#14579083C2311yescharacteristic
441#14579083C2311yescharacteristic
442#14579083C2311yescharacteristic
443#14579083C2311yescharacteristic
444#14579083C2311yescharacteristic
445#14579083C2311yescharacteristic
446#14579083C2311yescharacteristic
447C22×D4×C79D411yescharacteristic
448C23×C4×C79C2311yescharacteristic
449C23×C4×C79C2311yescharacteristic
450C2×M16×C79C2311yescharacteristic
451C2×M16×C79C2311yescharacteristic
452C2×M16×C79C2311yescharacteristic
453C2×M16×C79C2311yescharacteristic
454C22×C8×C79C2311yescharacteristic
455C22×C8×C79C2311yescharacteristic
456C22×C8×C79C2311yescharacteristic
457C22×C8×C79C2311yescharacteristic
458C4×D4×C79D411yescharacteristic
459C4×D4×C79D411yescharacteristic
460C4×D4×C79D411yescharacteristic
461C4×D4×C79D411yescharacteristic
462C4×D4×C79C2311yescharacteristic
463C4×D4×C79C2311yescharacteristic
464C4×D4×C79C2311yescharacteristic
465C4×D4×C79C2311yescharacteristic
466C2×C4⋊C4×C79D411yescharacteristic
467C2×C22⋊C4×C79D411yescharacteristic
468C2×C22⋊C4×C79D411yescharacteristic
469C2×C42×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471C4⋊C8×C79C2311yescharacteristic
472C4⋊C8×C79C2311yescharacteristic
473C4⋊C8×C79C2311yescharacteristic
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
483C22⋊C8×C79C2311yescharacteristic
484C22⋊C8×C79C2311yescharacteristic
485C22⋊C8×C79C2311yescharacteristic
486#97×C79C2311yescharacteristic
487#97×C79C2311yescharacteristic
488#97×C79C2311yescharacteristic
489#97×C79C2311yescharacteristic
490C23×D79—21no—
491C23×D79—21no—
492#11929624—22no—
493#11929624—22no—
494#11929624—22no—
495#11929624—22no—
496#11929624—22no—
497#11929624—22no—
498#11929624—44no—
499#11929624—44no—
500#11929624—41no—
501#11929624—41no—
502#11929624—41no—
503#11929624—41no—
504#11929624—41no—
505#11929624—41no—
506#11929624—41no—
507#11929624—41no—
508#11929624—44no—
509#11929624—44no—
510#11929624—41no—
511#11929624—41no—
512#11929624—41no—
513#11929624—41no—
514#11929623—44no—
515C2×Dic158—22no—
516C2×Dic158—22no—
517C2×Dic158—21no—
518C2×Dic158—21no—
519C2×Dic158—21no—
520C2×Dic158—21no—
521C2×Dic158—21no—
522C2×Dic158—41no—
523C2×Dic158—41no—
524C2×Dic158—41no—
525C2×Dic158—41no—
526C2×Dic158—41no—
527C2×Dic158—41no—
528C2×Dic158C2411yescharacteristic
529C2×Dic158C2411yescharacteristic
530C2×Dic158C2411yescharacteristic
531C2×Dic158C2411yescharacteristic
532C2×Dic158C2411yescharacteristic
533C2×Dic158C2411yescharacteristic
534C2×D316—22no—
535C2×D316—22no—
536C2×D316—21no—
537C2×D316—21no—
538C2×D316—21no—
539C2×D316—21no—
540C2×D316—41no—
541C2×D316—41no—
542C2×D316C2411yescharacteristic
543C2×D316C2411yescharacteristic
544C2×D316C2411yescharacteristic
545C2×D316C2411yescharacteristic
546C2×C22⋊D79—21no—
547C2×C22⋊D79—21no—
548C2×C22⋊D79—21no—
549C2×C22⋊D79—21no—
550C2×C22⋊D79—21no—
551C2×C22⋊D79—21no—
552C2×C22⋊D79—21no—
553C2×C22⋊D79—21no—
554C2×C22⋊D79—21no—
555C2×C22⋊D79—21no—
556C2×C22⋊D79—21no—
557C2×C22⋊D79—21no—
558C2×C22⋊D79—21no—
559C2×C22⋊D79—21no—
560C2×C22⋊D79—21no—
561C2×C22⋊D79—21no—
562C2×C22⋊D79—44no—
563C2×C22⋊D79—44no—
564D4×D79—44no—
565C22×Dic79—21no—
566C22×Dic79—21no—
567C22×Dic79—21no—
568C22×Dic79—21no—
569C22×Dic79—21no—
570C22×Dic79—21no—
571C2×C4×D79—21no—
572C2×C4×D79—21no—
573C2×C4×D79—21no—
574C2×C4×D79—21no—
575C2×C4×D79—21no—
576C2×C4×D79—21no—
577C2×C4×D79—21no—
578C2×C4×D79—21no—
579C2×C4×D79—21no—
580C2×C4×D79—21no—
581C2×C4×D79—21no—
582C2×C4×D79—21no—
583C2×C4×D79—44no—
584C2×C4×D79—44no—
585Dic316—22no—
586Dic316—22no—
587Dic316—22no—
588Dic316—41no—
589Dic316—41no—
590Dic316—41no—
591Dic316—41no—
592Dic316—41no—
593Dic316—41no—
594#11929613—22no—
595#11929613—22no—
596#11929613—22no—
597#11929613—22no—
598#11929613—41no—
599#11929613—41no—
600#11929613—41no—
601#11929613—41no—
602#11929613—41no—
603#11929613—41no—
604#11929613—41no—
605#11929613—41no—
606D632—22no—
607D632—41no—
608D632—41no—
609C4⋊Dic79—21no—
610C4⋊Dic79—21no—
611C4⋊Dic79—21no—
612C4⋊Dic79—21no—
613C4⋊Dic79—21no—
614C4⋊Dic79—21no—
615C4⋊Dic79—21no—
616C4⋊Dic79C2411yescharacteristic
617C4⋊Dic79C2411yescharacteristic
618C4⋊Dic79C2411yescharacteristic
619C4⋊Dic79C2411yescharacteristic
620C4⋊Dic79C2411yescharacteristic
621C4⋊Dic79C2411yescharacteristic
622Dic79⋊C4—21no—
623Dic79⋊C4—21no—
624Dic79⋊C4—21no—
625Dic79⋊C4—21no—
626Dic79⋊C4—21no—
627Dic79⋊C4—21no—
628Dic79⋊C4—21no—
629Dic79⋊C4—21no—
630Dic79⋊C4—21no—
631Dic79⋊C4—21no—
632Dic79⋊C4—21no—
633Dic79⋊C4—21no—
634Dic79⋊C4—21no—
635Dic79⋊C4—21no—
636Dic79⋊C4—21no—
637Dic79⋊C4—21no—
638Dic79⋊C4—21no—
639Dic79⋊C4—21no—
640Dic79⋊C4—21no—
641Dic79⋊C4—21no—
642C22⋊Dic79—21no—
643C22⋊Dic79—21no—
644C22⋊Dic79—21no—
645C22⋊Dic79—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—
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—
674C4×Dic79—21no—
675C4×Dic79—21no—
676C4×Dic79—21no—
677C4×Dic79—21no—
678C4×Dic79—21no—
679C4×Dic79—21no—
680C4×Dic79—21no—
681C4×Dic79—21no—
682C24×C79C2×D411yescharacteristic
683C24×C79C2×D411yescharacteristic
684C2×D4×C79—42no—
685C2×D4×C79C2×D411yescharacteristic
686C2×D4×C79C2×D411yescharacteristic
687C2×D4×C79C2×D411yescharacteristic
688C2×D4×C79C2×D411yescharacteristic
689C22×C4×C79—41no—
690C22×C4×C79—41no—
691C22×C4×C79—41no—
692C22×C4×C79—41no—
693C22×C4×C79C2×D411yescharacteristic
694C22×C4×C79C2×D411yescharacteristic
695C22×C4×C79C2×D411yescharacteristic
696C22×C4×C79C2×D411yescharacteristic
697C22×C4×C79C2×D411yescharacteristic
698C22×C4×C79C2×D411yescharacteristic
699C22×C4×C79C2×D411yescharacteristic
700C22×C4×C79C2×D411yescharacteristic
701C22×C4×C79C2411yescharacteristic
702C22×C4×C79C2411yescharacteristic
703C22×C4×C79C2411yescharacteristic
704C22×C4×C79C2411yescharacteristic
705C22×C4×C79C2411yescharacteristic
706M16×C79—41no—
707M16×C79—41no—
708M16×C79—41no—
709M16×C79—41no—
710C2×C8×C79—41no—
711C2×C8×C79—41no—
712C2×C8×C79—41no—
713C2×C8×C79—41no—
714C2×C8×C79C2411yescharacteristic
715C2×C8×C79C2411yescharacteristic
716C2×C8×C79C2411yescharacteristic
717C2×C8×C79C2411yescharacteristic
718C2×C8×C79C2411yescharacteristic
719C2×C8×C79C2411yescharacteristic
720C2×C8×C79C2411yescharacteristic
721C2×C8×C79C2411yescharacteristic
722C4⋊C4×C79C2×D411yescharacteristic
723C4⋊C4×C79C2×D411yescharacteristic
724C4⋊C4×C79C2×D411yescharacteristic
725C4⋊C4×C79C2×D411yescharacteristic
726C22⋊C4×C79C2×D411yescharacteristic
727C22⋊C4×C79C2×D411yescharacteristic
728C22⋊C4×C79C2×D411yescharacteristic
729C22⋊C4×C79C2×D411yescharacteristic
730C22⋊C4×C79C2×D411yescharacteristic
731C22⋊C4×C79C2×D411yescharacteristic
732C22⋊C4×C79C2×D411yescharacteristic
733C22⋊C4×C79C2×D411yescharacteristic
734C42×C79C2×D411yescharacteristic
735C42×C79C2×D411yescharacteristic
736C42×C79C2411yescharacteristic
737C42×C79C2411yescharacteristic
738C23×C79—22no—
739C23×C79—41no—
740C23×C79—41no—
741C23×C79—41no—
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—21no—
752C22×D79—21no—
753C22×D79—42no—
754C22×D79—42no—
755C22×D79—42no—
756C22×D79—42no—
757C22×D79—81no—
758C22×D79—81no—
759D4×C79—22no—
760D4×C79—22no—
761D4×C79—41no—
762D4×C79—41no—
763C2×C4×C79—21no—
764C2×C4×C79—21no—
765C2×C4×C79—21no—
766C2×C4×C79—21no—
767C2×C4×C79—21no—
768C2×C4×C79—21no—
769C2×C4×C79—21no—
770C2×C4×C79—21no—
771C2×C4×C79—21no—
772C2×C4×C79—21no—
773C2×C4×C79—41no—
774C2×C4×C79—41no—
775C2×C4×C79—41no—
776C2×C4×C79—41no—
777C2×C4×C79—41no—
778C2×C4×C79—41no—
779C2×C4×C79—41no—
780C2×C4×C79—41no—
781C2×C4×C79C22×D411yescharacteristic
782C2×C4×C79C22×D411yescharacteristic
783C2×C4×C79C22×D411yescharacteristic
784C2×C4×C79C22×D411yescharacteristic
785C2×C4×C79C22×D411yescharacteristic
786C2×C4×C79C22×D411yescharacteristic
787C2×C4×C79C22×D411yescharacteristic
788C2×C4×C79C22×D411yescharacteristic
789C2×C4×C79C22×D411yescharacteristic
790C2×C4×C79C2511yescharacteristic
791C22⋊D79—24no—
792C22⋊D79—42no—
793C22⋊D79—42no—
794C22⋊D79—42no—
795C22⋊D79—42no—
796C22⋊D79—42no—
797C22⋊D79—42no—
798C22⋊D79—42no—
799C22⋊D79—42no—
800C22⋊D79—42no—
801C22⋊D79—42no—
802C22⋊D79—42no—
803C22⋊D79—81no—
804C22⋊D79—81no—
805C22⋊D79—81no—
806C22⋊D79—81no—
807C2×Dic79—21no—
808C2×Dic79—21no—
809C2×Dic79—21no—
810C2×Dic79—21no—
811C2×Dic79—21no—
812C2×Dic79—21no—
813C2×Dic79—21no—
814C2×Dic79—21no—
815C2×Dic79—21no—
816C2×Dic79—21no—
817C2×Dic79—21no—
818C2×Dic79—21no—
819C2×Dic79—42no—
820C2×Dic79—42no—
821C2×Dic79—42no—
822C2×Dic79—42no—
823C2×Dic79—81no—
824C2×Dic79—81no—
825D316—21no—
826D316—21no—
827D316—21no—
828D316—21no—
829D316—21no—
830D316—21no—
831D316—21no—
832D316—42no—
833D316—42no—
834D316—42no—
835D316—81no—
836D316H(5,𝔽2)12yes—
837C4×D79—24no—
838C4×D79—42no—
839C4×D79—42no—
840C4×D79—42no—
841C4×D79—42no—
842C4×D79—42no—
843C4×D79—42no—
844C4×D79—42no—
845C4×D79—42no—
846C4×D79—81no—
847C4×D79—81no—
848C4×D79—81no—
849Dic158—21no—
850Dic158—21no—
851Dic158—21no—
852Dic158—21no—
853Dic158—21no—
854Dic158—21no—
855Dic158—21no—
856Dic158—21no—
857Dic158—21no—
858Dic158—21no—
859Dic158—21no—
860Dic158—42no—
861Dic158—42no—
862Dic158—42no—
863Dic158—81no—
864Dic158—81no—
865Dic158H(5,𝔽2)12yes—
866C8×C79—21no—
867C8×C79—21no—
868C8×C79—21no—
869C8×C79—21no—
870C8×C79—21no—
871C8×C79—21no—
872C8×C79—21no—
873C8×C79—21no—
874C22×C79—21no—
875C22×C79—21no—
876C22×C79—21no—
877C22×C79—21no—
878C22×C79—21no—
879C22×C79—21no—
880C22×C79—21no—
881C22×C79—21no—
882C22×C79—21no—
883C22×C79—21no—
884C22×C79—21no—
885C22×C79—21no—
886C22×C79—21no—
887C22×C79—21no—
888C22×C79—82no—
889C22×C79—82no—
890C22×C79#57512yes—
891C22×C79C23×D411yescharacteristic
892C2×D79—22no—
893C2×D79—41no—
894C2×D79—41no—
895C2×D79—41no—
896C2×D79—41no—
897C2×D79—41no—
898C2×D79—41no—
899C2×D79—41no—
900C2×D79—41no—
901C2×D79—41no—
902C2×D79—41no—
903C2×D79—41no—
904C2×D79—84no—
905C2×D79—84no—
906C4×C79—21no—
907C4×C79—21no—
908C4×C79—21no—
909C4×C79—21no—
910C4×C79—21no—
911C4×C79—21no—
912C4×C79—21no—
913C4×C79—21no—
914C4×C79—21no—
915C4×C79C2×H(5,𝔽2)11yescharacteristic
916C4×C79C2×H(5,𝔽2)11yescharacteristic
917Dic79—22no—
918Dic79—41no—
919Dic79—41no—
920Dic79—41no—
921Dic79—41no—
922Dic79—41no—
923Dic79—41no—
924Dic79—41no—
925Dic79—41no—
926Dic79—41no—
927Dic79—41no—
928Dic79—41no—
929#61580—791nomaximal, Sylow
930C2×C79—22no—
931C2×C79—41no—
932C2×C79—41no—
933C2×C79—41no—
934C2×C79—41no—
935C2×C79#348411yescharacteristic
936C2×C79C2×#57511yescharacteristic
937C2×C79#358611yescharacteristic
938D79—42no—
939D79—81no—
940D79—81no—
941D79—81no—
942#3520—791no—
943D4×#41—791no—
944#3317—791no—
945#3315—791no—
946#3313—791no—
947#3312—791no—
948#3311—791no—
949#3310—791no—
950#3308—791no—
951#3306—791no—
952#3271—791no—
953#3270—791no—
954#3270—791no—
955#3269—791no—
956#3269—791no—
957#3267—791no—
958#3266—791no—
959#3265—791no—
960#3219—791no—
961#3216—791no—
962#3197—791no—
963#3196—791no—
964#3191—791no—
965#3190—791no—
966#3116—791no—
967#3111—791no—
968#3007—791no—
969#3005—791no—
970#3002—791no—
971C2×#452—791no—
972#2973D7911yescharacteristic, complemented
973C79#6158011yescharacteristic, complemented, Sylow
974C22×#41—791no—
975C22×#41—791no—
976C2×#137—791no—
977C2×#137—791no—
978C2×#137—791no—
979C2×AGL(1,ℤ/8)—791no—
980C2×#135—791no—
981C2×#135—791no—
982C22×Q16—791no—
983C22×SD16—791no—
984#556—791no—
985#554—1581no—
986#552—791no—
987#552—791no—
988#551—1581no—
989#551—1581no—
990#550—791no—
991D4×Q8—791no—
992D4×Q8—791no—
993#548—791no—
994#548—791no—
995#548—791no—
996#548—791no—
997#547—791no—
998#547—791no—
999#547—791no—
1000#547—1581no—
1001#546—791no—
1002#546—791no—
1003#546—1581no—
1004#546—1581no—
1005#546—1581no—
1006D42—791no—
1007D42—1581no—
1008#542—1581no—
1009#539—1581no—
1010#539—1581no—
1011#533—791no—
1012#532—791no—
1013#532—1581no—
1014#529—791no—
1015#525—791no—
1016#525—791no—
1017#525—791no—
1018#525—791no—
1019#525—1581no—
1020#525—1581no—
1021C2×C22⋊Q8—791no—
1022C2×C22⋊Q8—791no—
1023#520—1581no—
1024C4×#41—791no—
1025C2×C4×D4—1581no—
1026C2×C4×D4C2×D7911yescharacteristic
1027#497—791no—
1028#497—791no—
1029#497—791no—
1030#496—791no—
1031#491—791no—
1032#490—791no—
1033#489—791no—
1034#489—791no—
1035#485—791no—
1036#485—791no—
1037#485—791no—
1038#485—791no—
1039#485—791no—
1040#484—791no—
1041#483—791no—
1042#482—791no—
1043#482—791no—
1044#482—791no—
1045#481—791no—
1046#480—791no—
1047#479—791no—
1048#478—791no—
1049#477—791no—
1050#476—791no—
1051#470—791no—
1052#470—791no—
1053#470—791no—
1054#469—791no—
1055#468—791no—
1056#468—791no—
1057#468—791no—
1058#468—791no—
1059#467—791no—
1060#467—791no—
1061#467—791no—
1062#466—791no—
1063#465—791no—
1064#465—791no—
1065#465—791no—
1066#465—791no—
1067#464—791no—
1068#464—791no—
1069#464—791no—
1070#463—791no—
1071#463—791no—
1072#463—791no—
1073#462—791no—
1074#462—791no—
1075#462—791no—
1076#461—791no—
1077#460—791no—
1078#460—791no—
1079#452—791no—
1080#452—791no—
1081#452—791no—
1082#452—791no—
1083#452—791no—
1084#452—791no—
1085#452—791no—
1086#452—791no—
1087#452—791no—
1088#452—791no—
1089#452—791no—
1090#452—791no—
1091#452—791no—
1092#452—791no—
1093#452—791no—
1094#452—791no—
1095#452—791no—
1096#451—791no—
1097#451—791no—
1098#451—791no—
1099#451—791no—
1100#451—791no—
1101#450—791no—
1102#450—791no—
1103#450—791no—
1104#449—791no—
1105#449—791no—
1106#449—791no—
1107#449—791no—
1108#449—791no—
1109#449—791no—
1110#449—791no—
1111#448—791no—
1112#448—791no—
1113#448—791no—
1114#447—791no—
1115#442—791no—
1116#441—791no—
1117#441—791no—
1118#441—791no—
1119#440—791no—
1120#440—791no—
1121#440—791no—
1122#440—791no—
1123#435C2×D7911yescharacteristic
1124#435C2×D7911yescharacteristic
1125#435C2×D7911yescharacteristic, complemented
1126#435C2×D7911yescharacteristic, complemented
1127#435C2×D7911yescharacteristic, complemented
1128#435C2×D7911yescharacteristic, complemented
1129#435C2×D7911yescharacteristic, complemented
1130#435C2×D7911yescharacteristic, complemented
1131#432C2×D7911yescharacteristic, complemented
1132#432C2×D7911yescharacteristic, complemented
1133#419—791no—
1134#418—791no—
1135#417—791no—
1136#417—791no—
1137#416—791no—
1138#416—791no—
1139C2×#103—791no—
1140C2×#102—791no—
1141#407C2×D7911yescharacteristic, complemented
1142#407C2×D7911yescharacteristic, complemented
1143C2×C22⋊C8C2×D7911yescharacteristic, complemented
1144C2×C22⋊C8C2×D7911yescharacteristic, complemented
1145C2×#41—3162no—
1146C2×#41—3162no—
1147C2×#41—3162no—
1148C2×#41—3162no—
1149C2×#41—791no—
1150C2×#41—791no—
1151C2×#41—791no—
1152C2×#41—791no—
1153C2×#41—791no—
1154C2×#41—791no—
1155C2×#41—791no—
1156C2×#41—791no—
1157C2×#41—791no—
1158C2×#41—1581no—
1159C2×#41—1581no—
1160C2×#41—1581no—
1161C2×#41—1581no—
1162C2×#41—1581no—
1163C22×Q8—791no—
1164C22×Q8—791no—
1165C22×Q8—791no—
1166C22×Q8—791no—
1167C22×D4—791no—
1168C22×D4—791no—
1169C22×D4—1581no—
1170C22×D4—1581no—
1171C22×D4—1581no—
1172C22×D4D31611yescharacteristic
1173C23×C4—1581no—
1174C23×C4—1581no—
1175C23×C4C22×D7911yescharacteristic
1176C23×C4C22×D7911yescharacteristic
1177#137—3162no—
1178#137—3162no—
1179#137—3162no—
1180AGL(1,ℤ/8)—3162no—
1181#135—3162no—
1182#135—3162no—
1183C2×Q16—3162no—
1184C2×Q16—791no—
1185C2×Q16—791no—
1186C2×Q16—791no—
1187C2×Q16—791no—
1188C2×Q16—791no—
1189C2×Q16—791no—
1190C2×Q16—791no—
1191C2×Q16—791no—
1192C2×Q16—791no—
1193C2×SD16—3162no—
1194C2×SD16—791no—
1195C2×SD16—791no—
1196C2×SD16—791no—
1197C2×SD16—791no—
1198C2×SD16—791no—
1199C2×SD16—791no—
1200C2×SD16—791no—
1201C2×SD16—791no—
1202C2×SD16—791no—
1203C2×SD16—791no—
1204C2×SD16—791no—
1205C2×SD16—791no—
1206C2×D8—791no—
1207C2×D8—791no—
1208C2×D8—791no—
1209C2×M16C22×D7911yescharacteristic
1210C2×M16C22×D7911yescharacteristic
1211C2×M16C22×D7911yescharacteristic
1212C2×M16C22×D7911yescharacteristic
1213C22×C8C22×D7911yescharacteristic
1214C22×C8C22×D7911yescharacteristic
1215C22×C8C22×D7911yescharacteristic
1216C22×C8C22×D7911yescharacteristic
1217C4⋊Q8—791no—
1218C4⋊Q8—791no—
1219C4⋊Q8—791no—
1220C4⋊Q8—1581no—
1221C4⋊Q8—1581no—
1222#127—791no—
1223#127—1581no—
1224#126—1581no—
1225#126—1581no—
1226#126—1581no—
1227#126—1581no—
1228#126—1581no—
1229#125—791no—
1230#125—1581no—
1231#125—1581no—
1232#125—1581no—
1233#124—791no—
1234#124—791no—
1235#124—791no—
1236#124—1581no—
1237#124—1581no—
1238#124—1581no—
1239#124—1581no—
1240#124—1581no—
1241#123—1581no—
1242#123—1581no—
1243#123—1581no—
1244#123—1581no—
1245#123—1581no—
1246#123—1581no—
1247#123—1581no—
1248#123—1581no—
1249#123—1581no—
1250#123—1581no—
1251#123—1581no—
1252#123—1581no—
1253#123—1581no—
1254#123—1581no—
1255#123—1581no—
1256C22⋊Q8—791no—
1257C22⋊Q8—791no—
1258C22⋊Q8—791no—
1259C22⋊Q8—791no—
1260C22⋊Q8—791no—
1261C22⋊Q8—791no—
1262C22⋊Q8—791no—
1263C22⋊Q8—791no—
1264C22⋊Q8—791no—
1265C22⋊Q8—791no—
1266C22⋊Q8—791no—
1267C22⋊Q8—791no—
1268C22⋊Q8—791no—
1269C22⋊Q8—1581no—
1270C22⋊Q8—1581no—
1271C22⋊Q8—1581no—
1272C22⋊Q8—1581no—
1273C22⋊Q8—1581no—
1274C22⋊Q8—1581no—
1275C22⋊Q8—1581no—
1276C22⋊Q8—1581no—
1277C22⋊Q8—1581no—
1278C22⋊Q8—1581no—
1279C22⋊Q8—1581no—
1280C22⋊Q8—1581no—
1281C22⋊Q8—1581no—
1282C22⋊Q8—1581no—
1283#121—791no—
1284#121—791no—
1285#121—791no—
1286#121—791no—
1287#121—791no—
1288#121—791no—
1289#121—791no—
1290#121—1581no—
1291#121—1581no—
1292#121—1581no—
1293#121—1581no—
1294#121—1581no—
1295#121—1581no—
1296#121—1581no—
1297#121—1581no—
1298#121—1581no—
1299#121—1581no—
1300#121—1581no—
1301#121—1581no—
1302#121—1581no—
1303#120—1581no—
1304#120—1581no—
1305#120—1581no—
1306#120—1581no—
1307#120—1581no—
1308#120—1581no—
1309#120—1581no—
1310#120—1581no—
1311C4×Q8—791no—
1312C4×Q8—791no—
1313C4×Q8—791no—
1314C4×Q8—791no—
1315C4×Q8—791no—
1316C4×Q8—1581no—
1317C4×Q8—1581no—
1318C4×D4—791no—
1319C4×D4—791no—
1320C4×D4—791no—
1321C4×D4—1581no—
1322C4×D4—1581no—
1323C4×D4—1581no—
1324C4×D4—1581no—
1325C4×D4—1581no—
1326C4×D4—1581no—
1327C4×D4—1581no—
1328C4×D4—1581no—
1329C4×D4—1581no—
1330C4×D4—1581no—
1331C4×D4—1581no—
1332C4×D4—1581no—
1333C4×D4—1581no—
1334C4×D4—1581no—
1335C4×D4—1581no—
1336C4×D4—1581no—
1337C4×D4—1581no—
1338C4×D4—1581no—
1339C4×D4—1581no—
1340C4×D4—1581no—
1341C4×D4D31611yescharacteristic
1342C4×D4D31611yescharacteristic
1343C4×D4D31611yescharacteristic
1344C4×D4D31611yescharacteristic
1345C4×D4C22×D7911yescharacteristic
1346C4×D4C22×D7911yescharacteristic
1347C4×D4C22×D7911yescharacteristic
1348C4×D4C22×D7911yescharacteristic
1349#117—791no—
1350#117—791no—
1351#117—791no—
1352#117—1581no—
1353#117—1581no—
1354#117—1581no—
1355#117—1581no—
1356#117—1581no—
1357C2×C4⋊C4—791no—
1358C2×C4⋊C4—791no—
1359C2×C4⋊C4—1581no—
1360C2×C4⋊C4—1581no—
1361C2×C4⋊C4—1581no—
1362C2×C4⋊C4—1581no—
1363C2×C4⋊C4D31611yescharacteristic
1364C2×C22⋊C4—1581no—
1365C2×C22⋊C4—1581no—
1366C2×C22⋊C4—1581no—
1367C2×C22⋊C4—1581no—
1368C2×C22⋊C4D31611yescharacteristic
1369C2×C22⋊C4D31611yescharacteristic
1370C2×C42—1581no—
1371C2×C42C22×D7911yescharacteristic
1372#107—791no—
1373#107—791no—
1374#107—791no—
1375#107—791no—
1376#106—791no—
1377#106—791no—
1378#106—791no—
1379#106—791no—
1380C4⋊C8C22×D7911yescharacteristic
1381C4⋊C8C22×D7911yescharacteristic
1382C4⋊C8C22×D7911yescharacteristic
1383C4⋊C8C22×D7911yescharacteristic
1384#103—791no—
1385#103—791no—
1386#103—791no—
1387#103—791no—
1388#103—791no—
1389#103—791no—
1390#103—791no—
1391#103—791no—
1392#103—791no—
1393#103—791no—
1394#103—791no—
1395#103—791no—
1396#103—791no—
1397#103—791no—
1398#103—791no—
1399#103—791no—
1400#103—791no—
1401#103—791no—
1402#102—791no—
1403#102—791no—
1404#102—791no—
1405#102—791no—
1406#102—791no—
1407#102—791no—
1408#102—791no—
1409#102—791no—
1410#102—791no—
1411#102—791no—
1412#102—791no—
1413#102—791no—
1414#102—791no—
1415#102—791no—
1416C22⋊C8C22×D7911yescharacteristic
1417C22⋊C8C22×D7911yescharacteristic
1418C22⋊C8C22×D7911yescharacteristic
1419C22⋊C8C22×D7911yescharacteristic
1420C22⋊C8C22×D7911yescharacteristic
1421C22⋊C8C22×D7911yescharacteristic
1422C22⋊C8C22×D7911yescharacteristic
1423C22⋊C8C22×D7911yescharacteristic
1424C22⋊C8C22×D7911yescharacteristic
1425C22⋊C8C22×D7911yescharacteristic
1426C22⋊C8C22×D7911yescharacteristic
1427C22⋊C8C22×D7911yescharacteristic
1428#97C22×D7911yescharacteristic
1429#97C22×D7911yescharacteristic
1430#97C22×D7911yescharacteristic
1431#97C22×D7911yescharacteristic
1432C24—1581no—
1433C24—1581no—
1434C24C2×D31611yescharacteristic
1435C24C2×D31611yescharacteristic
1436#41—3161no—
1437#41—3161no—
1438#41—3161no—
1439#41—3161no—
1440#41—3161no—
1441#41—3161no—
1442#41—3161no—
1443#41—3161no—
1444#41—3161no—
1445#41—3161no—
1446#41—3161no—
1447#41—3161no—
1448#41—3164no—
1449#41—3164no—
1450#41—3164no—
1451#41—3164no—
1452#41—3164no—
1453#41—1582no—
1454#41—1582no—
1455#41—1582no—
1456#41—1582no—
1457#41—1582no—
1458#41—1582no—
1459C2×Q8—3161no—
1460C2×Q8—3161no—
1461C2×Q8—3161no—
1462C2×Q8—3161no—
1463C2×Q8—3161no—
1464C2×Q8—3161no—
1465C2×Q8—791no—
1466C2×Q8—791no—
1467C2×Q8—791no—
1468C2×Q8—791no—
1469C2×Q8—791no—
1470C2×Q8—791no—
1471C2×Q8—1582no—
1472C2×Q8—1582no—
1473C2×Q8—1581no—
1474C2×Q8—1581no—
1475C2×Q8—1581no—
1476C2×Q8—1581no—
1477C2×Q8—1581no—
1478C2×D4—42no—
1479C2×D4—3161no—
1480C2×D4—3161no—
1481C2×D4—3164no—
1482C2×D4—3164no—
1483C2×D4—3164no—
1484C2×D4—791no—
1485C2×D4—791no—
1486C2×D4—791no—
1487C2×D4—791no—
1488C2×D4—1582no—
1489C2×D4—1582no—
1490C2×D4—1581no—
1491C2×D4—1581no—
1492C2×D4—1581no—
1493C2×D4—1581no—
1494C2×D4—1581no—
1495C2×D4—1581no—
1496C2×D4—1581no—
1497C2×D4—1581no—
1498C2×D4—1581no—
1499C2×D4—1581no—
1500C2×D4—1581no—
1501C2×D4—1581no—
1502C2×D4—1581no—
1503C2×D4—1581no—
1504C2×D4—1581no—
1505C2×D4—1581no—
1506C2×D4—1581no—
1507C2×D4—1581no—
1508C2×D4—1581no—
1509C2×D4—1581no—
1510C2×D4C2×D31611yescharacteristic
1511C2×D4C2×D31611yescharacteristic
1512C2×D4C2×D31611yescharacteristic
1513C2×D4C2×D31611yescharacteristic
1514C22×C4—41no—
1515C22×C4—41no—
1516C22×C4—41no—
1517C22×C4—41no—
1518C22×C4—3164no—
1519C22×C4—3164no—
1520C22×C4—1581no—
1521C22×C4—1581no—
1522C22×C4—1581no—
1523C22×C4—1581no—
1524C22×C4—1581no—
1525C22×C4—1581no—
1526C22×C4—1581no—
1527C22×C4—1581no—
1528C22×C4—1581no—
1529C22×C4—1581no—
1530C22×C4—1581no—
1531C22×C4—1581no—
1532C22×C4—1581no—
1533C22×C4—1581no—
1534C22×C4—1581no—
1535C22×C4—1581no—
1536C22×C4—1581no—
1537C22×C4—1581no—
1538C22×C4C2×D31611yescharacteristic
1539C22×C4C2×D31611yescharacteristic
1540C22×C4C2×D31611yescharacteristic
1541C22×C4C2×D31611yescharacteristic
1542C22×C4C2×D31611yescharacteristic
1543C22×C4C2×D31611yescharacteristic
1544C22×C4C2×D31611yescharacteristic
1545C22×C4C2×D31611yescharacteristic
1546C22×C4C23×D7911yescharacteristic
1547C22×C4C23×D7911yescharacteristic
1548C22×C4C23×D7911yescharacteristic
1549C22×C4C23×D7911yescharacteristic
1550C22×C4C23×D7911yescharacteristic
1551Q16—3161no—
1552Q16—3161no—
1553Q16—3161no—
1554Q16—3161no—
1555Q16—3161no—
1556Q16—3161no—
1557Q16—1582no—
1558Q16—1582no—
1559Q16—1582no—
1560SD16—3161no—
1561SD16—3161no—
1562SD16—3161no—
1563SD16—3161no—
1564SD16—3161no—
1565SD16—3161no—
1566SD16—3161no—
1567SD16—3161no—
1568SD16—1582no—
1569SD16—1582no—
1570SD16—1582no—
1571SD16—1582no—
1572D8—3161no—
1573D8—3161no—
1574D8—1582no—
1575M16—41no—
1576M16—41no—
1577M16—41no—
1578M16—41no—
1579C2×C8—41no—
1580C2×C8—41no—
1581C2×C8—41no—
1582C2×C8—41no—
1583C2×C8C23×D7911yescharacteristic
1584C2×C8C23×D7911yescharacteristic
1585C2×C8C23×D7911yescharacteristic
1586C2×C8C23×D7911yescharacteristic
1587C2×C8C23×D7911yescharacteristic
1588C2×C8C23×D7911yescharacteristic
1589C2×C8C23×D7911yescharacteristic
1590C2×C8C23×D7911yescharacteristic
1591C4⋊C4—791no—
1592C4⋊C4—791no—
1593C4⋊C4—791no—
1594C4⋊C4—791no—
1595C4⋊C4—791no—
1596C4⋊C4—791no—
1597C4⋊C4—1581no—
1598C4⋊C4—1581no—
1599C4⋊C4—1581no—
1600C4⋊C4—1581no—
1601C4⋊C4—1581no—
1602C4⋊C4—1581no—
1603C4⋊C4—1581no—
1604C4⋊C4—1581no—
1605C4⋊C4—1581no—
1606C4⋊C4—1581no—
1607C4⋊C4—1581no—
1608C4⋊C4—1581no—
1609C4⋊C4—1581no—
1610C4⋊C4—1581no—
1611C4⋊C4—1581no—
1612C4⋊C4—1581no—
1613C4⋊C4—1581no—
1614C4⋊C4—1581no—
1615C4⋊C4—1581no—
1616C4⋊C4—1581no—
1617C4⋊C4—1581no—
1618C4⋊C4—1581no—
1619C4⋊C4—1581no—
1620C4⋊C4—1581no—
1621C4⋊C4—1581no—
1622C4⋊C4—1581no—
1623C4⋊C4—1581no—
1624C4⋊C4C2×D31611yescharacteristic
1625C4⋊C4C2×D31611yescharacteristic
1626C4⋊C4C2×D31611yescharacteristic
1627C4⋊C4C2×D31611yescharacteristic
1628C22⋊C4—1581no—
1629C22⋊C4—1581no—
1630C22⋊C4—1581no—
1631C22⋊C4—1581no—
1632C22⋊C4—1581no—
1633C22⋊C4—1581no—
1634C22⋊C4—1581no—
1635C22⋊C4—1581no—
1636C22⋊C4—1581no—
1637C22⋊C4—1581no—
1638C22⋊C4—1581no—
1639C22⋊C4—1581no—
1640C22⋊C4—1581no—
1641C22⋊C4—1581no—
1642C22⋊C4—1581no—
1643C22⋊C4—1581no—
1644C22⋊C4—1581no—
1645C22⋊C4—1581no—
1646C22⋊C4—1581no—
1647C22⋊C4—1581no—
1648C22⋊C4—1581no—
1649C22⋊C4—1581no—
1650C22⋊C4—1581no—
1651C22⋊C4—1581no—
1652C22⋊C4—1581no—
1653C22⋊C4—1581no—
1654C22⋊C4—1581no—
1655C22⋊C4—1581no—
1656C22⋊C4—1581no—
1657C22⋊C4—1581no—
1658C22⋊C4—1581no—
1659C22⋊C4—1581no—
1660C22⋊C4C2×D31611yescharacteristic
1661C22⋊C4C2×D31611yescharacteristic
1662C22⋊C4C2×D31611yescharacteristic
1663C22⋊C4C2×D31611yescharacteristic
1664C22⋊C4C2×D31611yescharacteristic
1665C22⋊C4C2×D31611yescharacteristic
1666C22⋊C4C2×D31611yescharacteristic
1667C22⋊C4C2×D31611yescharacteristic
1668C42—1581no—
1669C42—1581no—
1670C42—1581no—
1671C42—1581no—
1672C42—1581no—
1673C42—1581no—
1674C42—1581no—
1675C42—1581no—
1676C42C2×D31611yescharacteristic
1677C42C2×D31611yescharacteristic
1678C42C23×D7911yescharacteristic
1679C42C23×D7911yescharacteristic
1680C23—22no—
1681C23—41no—
1682C23—41no—
1683C23—41no—
1684C23—41no—
1685C23—41no—
1686C23—3162no—
1687C23—3162no—
1688C23—3162no—
1689C23—3162no—
1690C23—6321no—
1691C23—6321no—
1692C23—1581no—
1693C23—1581no—
1694C23—1581no—
1695C23—1581no—
1696C23C22×D31611yescharacteristic
1697C23C22×D31611yescharacteristic
1698C23C22×D31611yescharacteristic
1699C23C22×D31611yescharacteristic
1700C23C22×D31611yescharacteristic
1701Q8—3162no—
1702Q8—3162no—
1703Q8—3162no—
1704Q8—792no—
1705Q8—6321no—
1706Q8—6321no—
1707Q8—1581no—
1708Q8—1581no—
1709Q8—1581no—
1710Q8—1581no—
1711Q8—1581no—
1712Q8—1581no—
1713Q8—1581no—
1714Q8—1581no—
1715Q8—1581no—
1716Q8—1581no—
1717Q8—1581no—
1718D4—22no—
1719D4—22no—
1720D4—41no—
1721D4—41no—
1722D4—3162no—
1723D4—3162no—
1724D4—3162no—
1725D4—3162no—
1726D4—3162no—
1727D4—3162no—
1728D4—3162no—
1729D4—3162no—
1730D4—3162no—
1731D4—3162no—
1732D4—3162no—
1733D4—3162no—
1734D4—3162no—
1735D4—3162no—
1736D4—792no—
1737D4—6321no—
1738D4—6321no—
1739D4—6321no—
1740D4—6321no—
1741D4—6321no—
1742D4—1584no—
1743D4—1581no—
1744D4—1581no—
1745D4—1581no—
1746D4—1581no—
1747D4—1581no—
1748D4—1581no—
1749D4—1581no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—3162no—
1769C2×C4—3162no—
1770C2×C4—3162no—
1771C2×C4—3162no—
1772C2×C4—3162no—
1773C2×C4—3162no—
1774C2×C4—3162no—
1775C2×C4—3162no—
1776C2×C4—3162no—
1777C2×C4—3162no—
1778C2×C4—3162no—
1779C2×C4—3162no—
1780C2×C4—6321no—
1781C2×C4—6321no—
1782C2×C4—6321no—
1783C2×C4—6321no—
1784C2×C4—6321no—
1785C2×C4—1584no—
1786C2×C4—1581no—
1787C2×C4—1581no—
1788C2×C4—1581no—
1789C2×C4—1581no—
1790C2×C4—1581no—
1791C2×C4—1581no—
1792C2×C4—1581no—
1793C2×C4—1581no—
1794C2×C4—1581no—
1795C2×C4—1581no—
1796C2×C4—1581no—
1797C2×C4—1581no—
1798C2×C4C22×D31611yescharacteristic
1799C2×C4C22×D31611yescharacteristic
1800C2×C4C22×D31611yescharacteristic
1801C2×C4C22×D31611yescharacteristic
1802C2×C4C22×D31611yescharacteristic
1803C2×C4C22×D31611yescharacteristic
1804C2×C4C22×D31611yescharacteristic
1805C2×C4C22×D31611yescharacteristic
1806C2×C4C22×D31611yescharacteristic
1807C2×C4C24×D7911yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—21no—
1815C8—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—82no—
1831C22—82no—
1832C22—3161no—
1833C22—3161no—
1834C22—3161no—
1835C22—3161no—
1836C22—3161no—
1837C22—3161no—
1838C22—3161no—
1839C22—3161no—
1840C22—3161no—
1841C22—3161no—
1842C22—3161no—
1843C22—6324no—
1844C22—6324no—
1845C22—1582no—
1846C22#1909936312yes—
1847C22C23×D31611yescharacteristic
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—21no—
1856C4—21no—
1857C4—3161no—
1858C4—3161no—
1859C4—3161no—
1860C4—3161no—
1861C4—3161no—
1862C4—3161no—
1863C4—3161no—
1864C4—3161no—
1865C4—3161no—
1866C4—3161no—
1867C4—3161no—
1868C4—1582no—
1869C4H(5,𝔽2)×D7911yescharacteristic
1870C4H(5,𝔽2)×D7911yescharacteristic
1871C2—22no—
1872C2—41no—
1873C2—41no—
1874C2—41no—
1875C2—41no—
1876C2—3162no—
1877C2—6321no—
1878C2—6321no—
1879C2—6321no—
1880C2#2377703611yescharacteristic
1881C2C2×#1909936311yescharacteristic
1882C2#2377818811yescharacteristic
subgroupG/H
centerC22C23×D316
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#2973C2
socleC22×C79C23×D4
hypercenter#2973D79
hypocenterC79#61580
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2973

Complements

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

NH ≅ G/Ntype
1. #23777449C2semidirect
2. D4×#11929624C2semidirect
3. #23775528C2semidirect
4. #23775498C2semidirect
5. #23775468C2semidirect
6. #23775453C2semidirect
7. #23775438C2semidirect
8. #23775423C2semidirect
9. #23775393C2semidirect
10. #23775363C2semidirect
11. #23774990C2semidirect
12. #23774975C2semidirect
13. #23774975C2semidirect
14. #23774960C2semidirect
15. #23774960C2semidirect
16. #23774930C2semidirect
17. #23774915C2semidirect
18. #23774900C2semidirect
19. #23774439C2semidirect
20. #23774413C2semidirect
21. #23774242C2semidirect
22. #23774232C2semidirect
23. #23774193C2semidirect
24. #23774183C2semidirect
25. #23773563C2semidirect
26. #23773511C2semidirect
27. #23772662C2semidirect
28. #23772645C2semidirect
29. #23772622C2semidirect
30. C2×#19098727C2semidirect
31. C79×#2973C2semidirect
34. C2×#14579194C22semidirect
35. C2×#14579194C22semidirect
36. C2×#14579194C22semidirect
37. C2×#14579189C22semidirect
38. C2×#14579183C22semidirect
39. C2×#14579183C22semidirect
40. C22×Dic316C22semidirect
41. C22×#11929613C22semidirect
42. #19099283C22semidirect
45. #19099253C22semidirect
50. D4×Dic158C22semidirect
54. #19099222C22semidirect
56. #19099218C22semidirect
57. #19099217C22semidirect
69. #19099120C22semidirect
72. #19099097C22semidirect
75. #19099074C22semidirect
76. #19099074C22semidirect
79. C2×#14579140C22semidirect
80. C2×#14579140C22semidirect
84. #19098957C22semidirect
85. #19098957C22semidirect
86. #19098957C22semidirect
87. #19098952C22semidirect
88. #19098932C22semidirect
89. #19098928C22semidirect
90. #19098923C22semidirect
91. #19098923C22semidirect
92. #19098905C22semidirect
93. #19098905C22semidirect
94. #19098905C22semidirect
95. #19098905C22semidirect
96. #19098905C22semidirect
97. #19098899C22semidirect
98. #19098894C22semidirect
99. #19098888C22semidirect
100. #19098888C22semidirect
101. #19098888C22semidirect
102. #19098882C22semidirect
103. #19098877C22semidirect
104. #19098871C22semidirect
105. #19098864C22semidirect
106. #19098859C22semidirect
107. #19098854C22semidirect
108. #19098821C22semidirect
109. #19098821C22semidirect
110. #19098821C22semidirect
111. #19098816C22semidirect
112. #19098809C22semidirect
113. #19098809C22semidirect
114. #19098809C22semidirect
115. #19098809C22semidirect
116. #19098804C22semidirect
117. #19098804C22semidirect
118. #19098804C22semidirect
119. #19098799C22semidirect
120. #19098792C22semidirect
121. #19098792C22semidirect
122. #19098792C22semidirect
123. #19098792C22semidirect
124. #19098786C22semidirect
125. #19098786C22semidirect
126. #19098786C22semidirect
127. #19098779C22semidirect
128. #19098779C22semidirect
129. #19098779C22semidirect
130. #19098774C22semidirect
131. #19098774C22semidirect
132. #19098774C22semidirect
133. #19098769C22semidirect
134. #19098764C22semidirect
135. #19098764C22semidirect
139. #19098727C22semidirect
140. #19098727C22semidirect
141. #19098727C22semidirect
142. #19098727C22semidirect
143. #19098727C22semidirect
144. #19098727C22semidirect
145. #19098727C22semidirect
146. #19098727C22semidirect
147. #19098727C22semidirect
148. #19098727C22semidirect
149. #19098727C22semidirect
150. #19098727C22semidirect
151. #19098727C22semidirect
152. #19098727C22semidirect
153. #19098721C22semidirect
154. #19098721C22semidirect
155. #19098721C22semidirect
156. #19098721C22semidirect
157. #19098721C22semidirect
158. #19098716C22semidirect
159. #19098716C22semidirect
160. #19098716C22semidirect
162. #19098710C22semidirect
163. #19098710C22semidirect
164. #19098710C22semidirect
165. #19098710C22semidirect
166. #19098710C22semidirect
167. #19098710C22semidirect
168. #19098704C22semidirect
169. #19098704C22semidirect
170. #19098704C22semidirect
171. #19098699C22semidirect
172. #19098676C22semidirect
173. #19098671C22semidirect
174. #19098671C22semidirect
175. #19098671C22semidirect
176. #19098665C22semidirect
177. #19098665C22semidirect
178. #19098665C22semidirect
179. #19098665C22semidirect
180. #19098573C22semidirect
181. #19098569C22semidirect
182. #19098565C22semidirect
183. #19098565C22semidirect
184. #19098560C22semidirect
185. #19098560C22semidirect
186. C2×#14579086C22semidirect
187. C2×#14579083C22semidirect
191. #435×C79C22semidirect
192. #435×C79C22semidirect
193. #435×C79C22semidirect
194. #435×C79C22semidirect
195. #435×C79C22semidirect
196. #435×C79C22semidirect
197. #432×C79C22semidirect
198. #432×C79C22semidirect
199. #407×C79C22semidirect
200. #407×C79C22semidirect
201. C2×C22⋊C8×C79C22semidirect
202. C2×C22⋊C8×C79C22semidirect
972. #2973D79semidirect
973. C79#61580semidirect
1125. #435C2×D79semidirect
1126. #435C2×D79semidirect
1127. #435C2×D79semidirect
1128. #435C2×D79semidirect
1129. #435C2×D79semidirect
1130. #435C2×D79semidirect
1131. #432C2×D79semidirect
1132. #432C2×D79semidirect
1141. #407C2×D79semidirect
1142. #407C2×D79semidirect
1143. C2×C22⋊C8C2×D79semidirect
1144. C2×C22⋊C8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774492
D4×#119296242
#237755282
#237754982
#237754682
#237754532
#237754382
#237754232
#237753932
#237753632
#237749902
#237749752
#237749602
#237749302
#237749152
#237749002
#237744392
#237744132
#237742422
#237742322
#237741932
#237741832
#237735632
#237735112
#237726622
#237726452
#237726222
C2×#190987272
C79×#29732
#6158079