Finite Group Databasebeta

← #35173240

Subgroups — #35173240

Order 20224.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777432C211yesmaximal, characteristic, complemented
2D4×#11929624C211yesmaximal, characteristic, complemented
3#23775588C211yesmaximal, characteristic, complemented
4#23775573C211yesmaximal, characteristic, complemented
5#23775558C211yesmaximal, characteristic, complemented
6#23775543C211yesmaximal, characteristic, complemented
7#23775513C211yesmaximal, characteristic, complemented
8#23775483C211yesmaximal, characteristic, complemented
9#23775408C211yesmaximal, characteristic, complemented
10#23775378C211yesmaximal, characteristic, complemented
11#23774990C211yesmaximal, characteristic, complemented
12#23774945C211yesmaximal, characteristic, complemented
13#23774945C211yesmaximal, characteristic, complemented
14#23774930C211yesmaximal, characteristic, complemented
15#23774915C211yesmaximal, characteristic, complemented
16#23774900C211yesmaximal, characteristic, complemented
17#23774885C211yesmaximal, characteristic, complemented
18#23774885C211yesmaximal, characteristic, complemented
19#23774439C211yesmaximal, characteristic, complemented
20#23774397C211yesmaximal, characteristic, complemented
21#23774242C211yesmaximal, characteristic, complemented
22#23774216C211yesmaximal, characteristic, complemented
23#23774193C211yesmaximal, characteristic, complemented
24#23774167C211yesmaximal, characteristic, complemented
25#23773552C211yesmaximal, characteristic, complemented
26#23773511C211yesmaximal, characteristic, complemented
27#23772654C211yesmaximal, characteristic, complemented
28#23772645C211yesmaximal, characteristic, complemented
29#23772622C211yesmaximal, characteristic, complemented
30C2×#19098710C211yesmaximal, characteristic, complemented
31C79×#2973C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic, complemented
33C22×#11929624C2211yescharacteristic, complemented
34C2×#14579194C2211yescharacteristic, complemented
35C2×#14579189C2211yescharacteristic, complemented
36C2×#14579189C2211yescharacteristic, complemented
37C2×#14579189C2211yescharacteristic, complemented
38C2×#14579183C2211yescharacteristic, complemented
39C2×#14579183C2211yescharacteristic, complemented
40C22×#11929613C2211yescharacteristic, complemented
41C22×D632C2211yescharacteristic, complemented
42#19099278C2211yescharacteristic, complemented
43#19099270C2211yescharacteristic, complemented
44#19099261—21no—
45#19099259C2211yescharacteristic
46#19099259C2211yescharacteristic, complemented
47#19099234C2211yescharacteristic, complemented
48#19099234C2211yescharacteristic, complemented
49D4×Dic158C2211yescharacteristic, complemented
50#19099222C2211yescharacteristic
51#19099222C2211yescharacteristic, complemented
52#19099218C2211yescharacteristic, complemented
53#19099214—21no—
54#19099209C2211yescharacteristic
55#19099209C2211yescharacteristic
56#19099209C2211yescharacteristic, complemented
57#19099209C2211yescharacteristic, complemented
58#19099203—21no—
59#19099203—21no—
60#19099203—21no—
61#19099203—21no—
62D4×D316C2211yescharacteristic, complemented
63D4×D316C2211yescharacteristic, complemented
64D4×C22⋊D79—21no—
65D4×C22⋊D79—21no—
66#19099164—21no—
67#19099146—21no—
68#19099146—21no—
69#19099113C2211yescharacteristic, complemented
70#19099113C2211yescharacteristic, complemented
71#19099110—21no—
72#19099097C2211yescharacteristic, complemented
73#19099074C2211yescharacteristic, complemented
74#19099074C2211yescharacteristic, complemented
75#19099074C2211yescharacteristic, complemented
76#19099074C2211yescharacteristic, complemented
77#19099072—21no—
78#19099072—21no—
79C2×#14579135C2211yescharacteristic, complemented
80C2×#14579135C2211yescharacteristic, complemented
81#19099035—21no—
82C4×#11929624C2211yescharacteristic, complemented
83C4×D4×D79—21no—
84#19098957C2211yescharacteristic, complemented
85#19098952C2211yescharacteristic, complemented
86#19098952C2211yescharacteristic, 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#19098899C2211yescharacteristic, complemented
96#19098894C2211yescharacteristic, complemented
97#19098888C2211yescharacteristic, complemented
98#19098888C2211yescharacteristic, complemented
99#19098888C2211yescharacteristic, complemented
100#19098888C2211yescharacteristic, complemented
101#19098888C2211yescharacteristic, complemented
102#19098882C2211yescharacteristic, complemented
103#19098877C2211yescharacteristic, complemented
104#19098871C2211yescharacteristic, complemented
105#19098864C2211yescharacteristic, complemented
106#19098849C2211yescharacteristic, complemented
107#19098844C2211yescharacteristic, complemented
108#19098821C2211yescharacteristic, complemented
109#19098816C2211yescharacteristic, complemented
110#19098816C2211yescharacteristic, complemented
111#19098816C2211yescharacteristic, complemented
112#19098809C2211yescharacteristic, complemented
113#19098809C2211yescharacteristic, complemented
114#19098809C2211yescharacteristic, complemented
115#19098809C2211yescharacteristic, complemented
116#19098804C2211yescharacteristic, complemented
117#19098799C2211yescharacteristic, complemented
118#19098799C2211yescharacteristic, 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#19098769C2211yescharacteristic, complemented
131#19098769C2211yescharacteristic, complemented
132#19098764C2211yescharacteristic, complemented
133#19098759C2211yescharacteristic, complemented
134#19098759C2211yescharacteristic, 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, complemented
145#19098716C2211yescharacteristic, complemented
146#19098716C2211yescharacteristic, complemented
147#19098710C2211yescharacteristic
148#19098710C2211yescharacteristic, complemented
149#19098710C2211yescharacteristic, complemented
150#19098710C2211yescharacteristic, complemented
151#19098710C2211yescharacteristic, complemented
152#19098710C2211yescharacteristic, complemented
153#19098710C2211yescharacteristic, complemented
154#19098710C2211yescharacteristic, complemented
155#19098710C2211yescharacteristic, complemented
156#19098710C2211yescharacteristic, complemented
157#19098710C2211yescharacteristic, complemented
158#19098710C2211yescharacteristic, 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, complemented
168#19098699C2211yescharacteristic, complemented
169#19098699C2211yescharacteristic, complemented
170#19098699C2211yescharacteristic, complemented
171#19098699C2211yescharacteristic, complemented
172#19098676C2211yescharacteristic, complemented
173#19098676C2211yescharacteristic, complemented
174#19098676C2211yescharacteristic, 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, complemented
190#435×C79C2211yescharacteristic, complemented
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—21no—
208C2×#11929624—42no—
209C2×#11929624—42no—
210C2×#11929624—42no—
211C2×#11929624—42no—
212C2×#11929624C2311yescharacteristic
213C2×#11929624C2311yescharacteristic
214C2×#11929624C2311yescharacteristic
215C2×#11929624C2311yescharacteristic
216C2×#11929624C2311yescharacteristic
217C2×#11929624C2311yescharacteristic
218C2×#11929624C2311yescharacteristic
219C2×#11929624C2311yescharacteristic
220C2×#11929624C2311yescharacteristic
221C22×Dic158C2311yescharacteristic
222C22×Dic158C2311yescharacteristic
223C22×D316C2311yescharacteristic
224C22×D316C2311yescharacteristic
225C22×D316C2311yescharacteristic
226C22×D316C2311yescharacteristic
227C22×C22⋊D79—21no—
228C22×C22⋊D79—21no—
229C22×C22⋊D79—21no—
230C22×C22⋊D79—21no—
231C2×D4×D79—21no—
232C2×D4×D79—21no—
233C22×C4×D79—21no—
234C22×C4×D79—21no—
235#14579194—42no—
236#14579189—42no—
237#14579189—42no—
238#14579189—42no—
239#14579183—42no—
240#14579183—42no—
241C2×Dic316C2311yescharacteristic
242C2×Dic316C2311yescharacteristic
243C2×Dic316C2311yescharacteristic
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×D632—42no—
258C2×D632C2311yescharacteristic
259C2×D632C2311yescharacteristic
260C2×D632C2311yescharacteristic
261C2×D632C2311yescharacteristic
262C2×D632C2311yescharacteristic
263C2×D632C2311yescharacteristic
264C2×D632C2311yescharacteristic
265C2×D632C2311yescharacteristic
266C2×D632C2311yescharacteristic
267#14579161C2311yescharacteristic
268#14579161C2311yescharacteristic
269#14579160—21no—
270#14579158C2311yescharacteristic
271#14579158C2311yescharacteristic
272#14579157—21no—
273#14579157—21no—
274#14579156—21no—
275#14579156—21no—
276#14579155—21no—
277#14579153C2311yescharacteristic
278#14579152—21no—
279#14579149—21no—
280#14579149C2311yescharacteristic
281#14579149C2311yescharacteristic
282#14579149C2311yescharacteristic
283#14579147—21no—
284#14579147—21no—
285#14579147—21no—
286#14579147—21no—
287#14579146—21no—
288#14579146—21no—
289#14579146—21no—
290#14579146—21no—
291#14579144—21no—
292#14579144—21no—
293#14579144—21no—
294#14579144—21no—
295#14579144—21no—
296#14579143—21no—
297#14579143—21no—
298#14579143—21no—
299#14579143—21no—
300#14579140C2311yescharacteristic
301#14579140C2311yescharacteristic
302#14579140C2311yescharacteristic
303#14579140C2311yescharacteristic
304#14579140C2311yescharacteristic
305#14579140C2311yescharacteristic
306#14579140C2311yescharacteristic
307#14579139—21no—
308#14579139—21no—
309#14579138—21no—
310#14579138—21no—
311#14579138—21no—
312#14579138—21no—
313#14579136—21no—
314#14579136—21no—
315#14579135—21no—
316#14579135—21no—
317#14579135—21no—
318#14579135—21no—
319#14579135—21no—
320#14579135—21no—
321#14579135—21no—
322#14579135C2311yescharacteristic
323#14579135C2311yescharacteristic
324#14579135C2311yescharacteristic
325#14579135C2311yescharacteristic
326#14579135C2311yescharacteristic
327#14579135C2311yescharacteristic
328#14579135C2311yescharacteristic
329#14579135C2311yescharacteristic
330#14579135C2311yescharacteristic
331#14579135C2311yescharacteristic
332#14579135C2311yescharacteristic
333#14579135C2311yescharacteristic
334#14579135C2311yescharacteristic
335#14579134—21no—
336#14579134—21no—
337#14579134—21no—
338#14579134—21no—
339#14579134—21no—
340#14579134—21no—
341#14579134—21no—
342#14579134—21no—
343#14579133—21no—
344#14579133—21no—
345#14579133—21no—
346#14579133—21no—
347#14579132—21no—
348#14579132—21no—
349#14579131—21no—
350#14579131—21no—
351#14579131—21no—
352#14579131—21no—
353#14579130—21no—
354#14579130—21no—
355#14579130—21no—
356#14579130—21no—
357#14579129—21no—
358#14579129—21no—
359#14579129—21no—
360#14579129—21no—
361C4×Dic158C2311yescharacteristic
362C4×Dic158C2311yescharacteristic
363C4×Dic158C2311yescharacteristic
364C4×D316—21no—
365C4×D316—21no—
366C4×D316—21no—
367C4×D316C2311yescharacteristic
368C4×D316C2311yescharacteristic
369C4×D316C2311yescharacteristic
370C4×D316C2311yescharacteristic
371C4×D316C2311yescharacteristic
372D4×Dic79—21no—
373D4×Dic79—21no—
374#14579123—21no—
375#14579123—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—
384C4×C22⋊D79—21no—
385C4×C22⋊D79—21no—
386C4×C22⋊D79—21no—
387(C22⋊D79)⋊C4—21no—
388(C22⋊D79)⋊C4—21no—
389(C22⋊D79)⋊C4—21no—
390(C22⋊D79)⋊C4—21no—
391#14579120C2311yescharacteristic
392#14579120C2311yescharacteristic
393#14579120C2311yescharacteristic
394#14579119—21no—
395#14579118—21no—
396#14579118—21no—
397C2×C4⋊Dic79C2311yescharacteristic
398C2×C4⋊Dic79C2311yescharacteristic
399C4⋊C4×D79—21no—
400C2×(C2×D79)⋊C4—21no—
401C2×(C2×D79)⋊C4—21no—
402C22⋊C4×D79—21no—
403C22⋊C4×D79—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#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
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—
492C23×D79—21no—
493C23×D79—21no—
494#11929624—22no—
495#11929624—22no—
496#11929624—22no—
497#11929624—22no—
498#11929624—22no—
499#11929624—22no—
500#11929624—44no—
501#11929624—44no—
502#11929624—41no—
503#11929624—41no—
504#11929624—41no—
505#11929624—41no—
506#11929624—41no—
507#11929624—41no—
508#11929624—41no—
509#11929624—41no—
510#11929624—44no—
511#11929624—44no—
512#11929624—41no—
513#11929624—41no—
514#11929624—41no—
515#11929624—41no—
516#11929624—82no—
517C2×Dic158—22no—
518C2×Dic158—22no—
519C2×Dic158—21no—
520C2×Dic158—21no—
521C2×Dic158—21no—
522C2×Dic158—41no—
523C2×Dic158—41no—
524C2×Dic158C2411yescharacteristic
525C2×Dic158C2411yescharacteristic
526C2×Dic158C2411yescharacteristic
527C2×Dic158C2411yescharacteristic
528C2×D316—22no—
529C2×D316—22no—
530C2×D316—21no—
531C2×D316—21no—
532C2×D316—21no—
533C2×D316—21no—
534C2×D316—21no—
535C2×D316—21no—
536C2×D316—21no—
537C2×D316—21no—
538C2×D316—41no—
539C2×D316—41no—
540C2×D316—41no—
541C2×D316—41no—
542C2×D316—41no—
543C2×D316—41no—
544C2×D316C2411yescharacteristic
545C2×D316C2411yescharacteristic
546C2×D316C2411yescharacteristic
547C2×D316C2411yescharacteristic
548C2×D316C2411yescharacteristic
549C2×D316C2411yescharacteristic
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—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—44no—
573C2×C22⋊D79—44no—
574C2×C22⋊D79—82no—
575C2×C22⋊D79—82no—
576D4×D79—44no—
577D4×D79—44no—
578C22×Dic79—21no—
579C22×Dic79—21no—
580C22×Dic79—21no—
581C22×Dic79—21no—
582C2×C4×D79—21no—
583C2×C4×D79—21no—
584C2×C4×D79—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—
595C2×C4×D79—21no—
596C2×C4×D79—44no—
597C2×C4×D79—44no—
598Dic316—22no—
599Dic316—41no—
600Dic316—41no—
601#11929613—22no—
602#11929613—22no—
603#11929613—22no—
604#11929613—22no—
605#11929613—41no—
606#11929613—41no—
607#11929613—41no—
608#11929613—41no—
609#11929613—41no—
610#11929613—41no—
611#11929613—41no—
612#11929613—41no—
613D632—22no—
614D632—22no—
615D632—22no—
616D632—41no—
617D632—41no—
618D632—41no—
619D632—41no—
620D632—41no—
621D632—41no—
622C4⋊Dic79—21no—
623C4⋊Dic79—21no—
624C4⋊Dic79—21no—
625C4⋊Dic79—21no—
626C4⋊Dic79—21no—
627C4⋊Dic79C2411yescharacteristic
628C4⋊Dic79C2411yescharacteristic
629C4⋊Dic79C2411yescharacteristic
630C4⋊Dic79C2411yescharacteristic
631C4⋊Dic79C2411yescharacteristic
632C4⋊Dic79C2411yescharacteristic
633Dic79⋊C4—21no—
634Dic79⋊C4—21no—
635Dic79⋊C4—21no—
636Dic79⋊C4—21no—
637Dic79⋊C4—21no—
638Dic79⋊C4—21no—
639Dic79⋊C4—21no—
640Dic79⋊C4—21no—
641Dic79⋊C4—21no—
642Dic79⋊C4—21no—
643Dic79⋊C4—21no—
644Dic79⋊C4—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—
655(C2×D79)⋊C4—21no—
656(C2×D79)⋊C4—21no—
657(C2×D79)⋊C4—21no—
658(C2×D79)⋊C4—21no—
659(C2×D79)⋊C4—21no—
660(C2×D79)⋊C4—21no—
661(C2×D79)⋊C4—21no—
662(C2×D79)⋊C4—21no—
663(C2×D79)⋊C4—21no—
664(C2×D79)⋊C4—21no—
665(C2×D79)⋊C4—21no—
666(C2×D79)⋊C4—21no—
667(C2×D79)⋊C4—21no—
668(C2×D79)⋊C4—21no—
669(C2×D79)⋊C4—21no—
670(C2×D79)⋊C4—21no—
671(C2×D79)⋊C4—21no—
672(C2×D79)⋊C4—21no—
673(C2×D79)⋊C4—21no—
674(C2×D79)⋊C4—21no—
675(C2×D79)⋊C4—21no—
676(C2×D79)⋊C4—21no—
677(C2×D79)⋊C4—21no—
678(C2×D79)⋊C4—21no—
679C4×Dic79—21no—
680C4×Dic79—21no—
681C4×Dic79—21no—
682C4×Dic79—21no—
683C4×Dic79—21no—
684C4×Dic79—21no—
685C24×C79C2×D411yescharacteristic
686C24×C79C2×D411yescharacteristic
687C2×D4×C79—42no—
688C2×D4×C79C2×D411yescharacteristic
689C2×D4×C79C2×D411yescharacteristic
690C2×D4×C79C2×D411yescharacteristic
691C2×D4×C79C2×D411yescharacteristic
692C22×C4×C79—41no—
693C22×C4×C79—41no—
694C22×C4×C79—41no—
695C22×C4×C79—41no—
696C22×C4×C79C2×D411yescharacteristic
697C22×C4×C79C2×D411yescharacteristic
698C22×C4×C79C2×D411yescharacteristic
699C22×C4×C79C2×D411yescharacteristic
700C22×C4×C79C2×D411yescharacteristic
701C22×C4×C79C2×D411yescharacteristic
702C22×C4×C79C2×D411yescharacteristic
703C22×C4×C79C2×D411yescharacteristic
704C22×C4×C79C2411yescharacteristic
705C22×C4×C79C2411yescharacteristic
706C22×C4×C79C2411yescharacteristic
707C22×C4×C79C2411yescharacteristic
708C22×C4×C79C2411yescharacteristic
709M16×C79—41no—
710M16×C79—41no—
711M16×C79—41no—
712M16×C79—41no—
713C2×C8×C79—41no—
714C2×C8×C79—41no—
715C2×C8×C79—41no—
716C2×C8×C79—41no—
717C2×C8×C79C2411yescharacteristic
718C2×C8×C79C2411yescharacteristic
719C2×C8×C79C2411yescharacteristic
720C2×C8×C79C2411yescharacteristic
721C2×C8×C79C2411yescharacteristic
722C2×C8×C79C2411yescharacteristic
723C2×C8×C79C2411yescharacteristic
724C2×C8×C79C2411yescharacteristic
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
737C42×C79C2×D411yescharacteristic
738C42×C79C2×D411yescharacteristic
739C42×C79C2411yescharacteristic
740C42×C79C2411yescharacteristic
741C23×C79—22no—
742C23×C79—41no—
743C23×C79—41no—
744C23×C79—41no—
745C23×C79—41no—
746C23×C79—41no—
747C23×C79C22×D411yescharacteristic
748C23×C79C22×D411yescharacteristic
749C23×C79C22×D411yescharacteristic
750C23×C79C22×D411yescharacteristic
751C23×C79C22×D411yescharacteristic
752C22×D79—21no—
753C22×D79—21no—
754C22×D79—21no—
755C22×D79—21no—
756C22×D79—21no—
757C22×D79—21no—
758C22×D79—42no—
759C22×D79—42no—
760C22×D79—42no—
761C22×D79—42no—
762C22×D79—42no—
763C22×D79—42no—
764C22×D79—81no—
765C22×D79—81no—
766C22×D79—81no—
767C22×D79—81no—
768C22×D79—81no—
769C22×D79—81no—
770D4×C79—22no—
771D4×C79—22no—
772D4×C79—41no—
773D4×C79—41no—
774C2×C4×C79—21no—
775C2×C4×C79—21no—
776C2×C4×C79—21no—
777C2×C4×C79—21no—
778C2×C4×C79—21no—
779C2×C4×C79—21no—
780C2×C4×C79—21no—
781C2×C4×C79—21no—
782C2×C4×C79—21no—
783C2×C4×C79—21no—
784C2×C4×C79—41no—
785C2×C4×C79—41no—
786C2×C4×C79—41no—
787C2×C4×C79—41no—
788C2×C4×C79—41no—
789C2×C4×C79—41no—
790C2×C4×C79—41no—
791C2×C4×C79—41no—
792C2×C4×C79C22×D411yescharacteristic
793C2×C4×C79C22×D411yescharacteristic
794C2×C4×C79C22×D411yescharacteristic
795C2×C4×C79C22×D411yescharacteristic
796C2×C4×C79C22×D411yescharacteristic
797C2×C4×C79C22×D411yescharacteristic
798C2×C4×C79C22×D411yescharacteristic
799C2×C4×C79C22×D411yescharacteristic
800C2×C4×C79C22×D411yescharacteristic
801C2×C4×C79C2511yescharacteristic
802C22⋊D79—24no—
803C22⋊D79—42no—
804C22⋊D79—42no—
805C22⋊D79—42no—
806C22⋊D79—42no—
807C22⋊D79—42no—
808C22⋊D79—42no—
809C22⋊D79—42no—
810C22⋊D79—42no—
811C22⋊D79—42no—
812C22⋊D79—42no—
813C22⋊D79—42no—
814C22⋊D79—42no—
815C22⋊D79—42no—
816C22⋊D79—81no—
817C22⋊D79—81no—
818C22⋊D79—81no—
819C22⋊D79—81no—
820C22⋊D79—81no—
821C22⋊D79—81no—
822C22⋊D79—81no—
823C22⋊D79—81no—
824C2×Dic79—21no—
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—42no—
835C2×Dic79—42no—
836C2×Dic79—81no—
837C2×Dic79—81no—
838D316—21no—
839D316—21no—
840D316—21no—
841D316—21no—
842D316—21no—
843D316—21no—
844D316—21no—
845D316—21no—
846D316—21no—
847D316—21no—
848D316—21no—
849D316—42no—
850D316—42no—
851D316—42no—
852D316—42no—
853D316—81no—
854D316—81no—
855D316—81no—
856D316—81no—
857D316H(5,𝔽2)12yes—
858C4×D79—24no—
859C4×D79—42no—
860C4×D79—42no—
861C4×D79—42no—
862C4×D79—42no—
863C4×D79—42no—
864C4×D79—42no—
865C4×D79—42no—
866C4×D79—42no—
867C4×D79—81no—
868C4×D79—81no—
869C4×D79—81no—
870C4×D79—81no—
871C4×D79—81no—
872Dic158—21no—
873Dic158—21no—
874Dic158—21no—
875Dic158—21no—
876Dic158—21no—
877Dic158—21no—
878Dic158—21no—
879Dic158—42no—
880Dic158—42no—
881Dic158—81no—
882Dic158H(5,𝔽2)12yes—
883C8×C79—21no—
884C8×C79—21no—
885C8×C79—21no—
886C8×C79—21no—
887C8×C79—21no—
888C8×C79—21no—
889C8×C79—21no—
890C8×C79—21no—
891C22×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—82no—
906C22×C79—82no—
907C22×C79#57512yes—
908C22×C79C23×D411yescharacteristic
909C2×D79—22no—
910C2×D79—41no—
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—162no—
930C2×D79—162no—
931C4×C79—21no—
932C4×C79—21no—
933C4×C79—21no—
934C4×C79—21no—
935C4×C79—21no—
936C4×C79—21no—
937C4×C79—21no—
938C4×C79—21no—
939C4×C79—21no—
940C4×C79C2×H(5,𝔽2)11yescharacteristic
941C4×C79C2×H(5,𝔽2)11yescharacteristic
942Dic79—22no—
943Dic79—41no—
944Dic79—41no—
945Dic79—41no—
946Dic79—41no—
947Dic79—41no—
948Dic79—41no—
949Dic79—41no—
950Dic79—41no—
951Dic79—41no—
952#61579—791nomaximal, Sylow
953C2×C79—22no—
954C2×C79—41no—
955C2×C79—41no—
956C2×C79—41no—
957C2×C79—41no—
958C2×C79#348411yescharacteristic
959C2×C79C2×#57511yescharacteristic
960C2×C79#358511yescharacteristic
961D79—42no—
962D79—81no—
963D79—81no—
964D79—81no—
965D79—81no—
966D79—81no—
967#3519—791no—
968D4×#41—791no—
969#3321—791no—
970#3320—791no—
971#3319—791no—
972#3318—791no—
973#3316—791no—
974#3314—791no—
975#3309—791no—
976#3307—791no—
977#3271—791no—
978#3268—791no—
979#3268—791no—
980#3267—791no—
981#3266—791no—
982#3265—791no—
983#3264—791no—
984#3264—791no—
985#3219—791no—
986#3214—791no—
987#3197—791no—
988#3194—791no—
989#3191—791no—
990#3188—791no—
991#3115—791no—
992#3111—791no—
993#3006—791no—
994#3005—791no—
995#3002—791no—
996C2×#449—791no—
997#2973D7911yescharacteristic, complemented
998C79#6157911yescharacteristic, complemented, Sylow
999C22×#41—791no—
1000C22×#41—791no—
1001C2×#137—791no—
1002C2×AGL(1,ℤ/8)—791no—
1003C2×AGL(1,ℤ/8)—791no—
1004C2×AGL(1,ℤ/8)—791no—
1005C2×#135—791no—
1006C2×#135—791no—
1007C22×SD16—791no—
1008C22×D8—791no—
1009#555—791no—
1010#554—791no—
1011#553—791no—
1012#553—791no—
1013#553—1581no—
1014#550—791no—
1015#550—791no—
1016D4×Q8—791no—
1017#548—791no—
1018#548—791no—
1019#547—791no—
1020#547—1581no—
1021#546—791no—
1022#546—791no—
1023#546—791no—
1024#546—791no—
1025#546—1581no—
1026#546—1581no—
1027#546—1581no—
1028#546—1581no—
1029D42—791no—
1030D42—791no—
1031D42—1581no—
1032D42—1581no—
1033#540—1581no—
1034#538—1581no—
1035#538—1581no—
1036#532—791no—
1037#532—791no—
1038#532—1581no—
1039#529—791no—
1040#525—791no—
1041#525—791no—
1042#525—791no—
1043#525—791no—
1044#525—1581no—
1045#525—1581no—
1046C2×#121—791no—
1047C2×#121—791no—
1048#518—1581no—
1049C4×#41—791no—
1050C2×C4×D4—1581no—
1051C2×C4×D4C2×D7911yescharacteristic
1052#497—791no—
1053#496—791no—
1054#496—791no—
1055#496—791no—
1056#491—791no—
1057#490—791no—
1058#489—791no—
1059#489—791no—
1060#485—791no—
1061#485—791no—
1062#485—791no—
1063#484—791no—
1064#483—791no—
1065#482—791no—
1066#482—791no—
1067#482—791no—
1068#482—791no—
1069#482—791no—
1070#481—791no—
1071#480—791no—
1072#479—791no—
1073#478—791no—
1074#475—791no—
1075#474—791no—
1076#470—791no—
1077#469—791no—
1078#469—791no—
1079#469—791no—
1080#468—791no—
1081#468—791no—
1082#468—791no—
1083#468—791no—
1084#467—791no—
1085#466—791no—
1086#466—791no—
1087#466—791no—
1088#465—791no—
1089#465—791no—
1090#465—791no—
1091#465—791no—
1092#464—791no—
1093#464—791no—
1094#464—791no—
1095#463—791no—
1096#463—791no—
1097#463—791no—
1098#461—791no—
1099#461—791no—
1100#460—791no—
1101#459—791no—
1102#459—791no—
1103#459—791no—
1104#452—791no—
1105#452—791no—
1106#452—791no—
1107#452—791no—
1108#452—791no—
1109#452—791no—
1110#452—791no—
1111#451—791no—
1112#450—791no—
1113#450—791no—
1114#450—791no—
1115#449—791no—
1116#449—791no—
1117#449—791no—
1118#449—791no—
1119#449—791no—
1120#449—791no—
1121#449—791no—
1122#449—791no—
1123#449—791no—
1124#449—791no—
1125#449—791no—
1126#449—791no—
1127#449—791no—
1128#449—791no—
1129#449—791no—
1130#449—791no—
1131#449—791no—
1132#448—791no—
1133#448—791no—
1134#448—791no—
1135#447—791no—
1136#447—791no—
1137#447—791no—
1138#447—791no—
1139#447—791no—
1140#442—791no—
1141#442—791no—
1142#442—791no—
1143#441—791no—
1144#440—791no—
1145#440—791no—
1146#440—791no—
1147#440—791no—
1148#435C2×D7911yescharacteristic, complemented
1149#435C2×D7911yescharacteristic, complemented
1150#435C2×D7911yescharacteristic, complemented
1151#435C2×D7911yescharacteristic, complemented
1152#435C2×D7911yescharacteristic, complemented
1153#435C2×D7911yescharacteristic, complemented
1154#435C2×D7911yescharacteristic, complemented
1155#435C2×D7911yescharacteristic, complemented
1156#432C2×D7911yescharacteristic, complemented
1157#432C2×D7911yescharacteristic, complemented
1158#419—791no—
1159#418—791no—
1160#417—791no—
1161#417—791no—
1162#416—791no—
1163#416—791no—
1164C2×#103—791no—
1165C2×#102—791no—
1166#407C2×D7911yescharacteristic, complemented
1167#407C2×D7911yescharacteristic, complemented
1168C2×C22⋊C8C2×D7911yescharacteristic, complemented
1169C2×C22⋊C8C2×D7911yescharacteristic, complemented
1170C2×#41—3162no—
1171C2×#41—3162no—
1172C2×#41—3162no—
1173C2×#41—3162no—
1174C2×#41—791no—
1175C2×#41—791no—
1176C2×#41—791no—
1177C2×#41—791no—
1178C2×#41—791no—
1179C2×#41—791no—
1180C2×#41—791no—
1181C2×#41—791no—
1182C2×#41—791no—
1183C2×#41—1581no—
1184C2×#41—1581no—
1185C2×#41—1581no—
1186C2×#41—1581no—
1187C2×#41—1581no—
1188C22×Q8—791no—
1189C22×Q8—791no—
1190C22×D4—791no—
1191C22×D4—791no—
1192C22×D4—791no—
1193C22×D4—791no—
1194C22×D4—1581no—
1195C22×D4—1581no—
1196C22×D4—1581no—
1197C22×D4—1581no—
1198C22×D4—1581no—
1199C22×D4—1581no—
1200C22×D4D31611yescharacteristic
1201C23×C4—1581no—
1202C23×C4—1581no—
1203C23×C4C22×D7911yescharacteristic
1204C23×C4C22×D7911yescharacteristic
1205#137—3162no—
1206AGL(1,ℤ/8)—3162no—
1207AGL(1,ℤ/8)—3162no—
1208AGL(1,ℤ/8)—3162no—
1209#135—3162no—
1210#135—3162no—
1211C2×Q16—791no—
1212C2×Q16—791no—
1213C2×Q16—791no—
1214C2×SD16—3162no—
1215C2×SD16—791no—
1216C2×SD16—791no—
1217C2×SD16—791no—
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×D8—3162no—
1228C2×D8—791no—
1229C2×D8—791no—
1230C2×D8—791no—
1231C2×D8—791no—
1232C2×D8—791no—
1233C2×D8—791no—
1234C2×D8—791no—
1235C2×D8—791no—
1236C2×D8—791no—
1237C2×M16C22×D7911yescharacteristic
1238C2×M16C22×D7911yescharacteristic
1239C2×M16C22×D7911yescharacteristic
1240C2×M16C22×D7911yescharacteristic
1241C22×C8C22×D7911yescharacteristic
1242C22×C8C22×D7911yescharacteristic
1243C22×C8C22×D7911yescharacteristic
1244C22×C8C22×D7911yescharacteristic
1245C4⋊Q8—791no—
1246C4⋊Q8—791no—
1247C4⋊Q8—1581no—
1248#127—791no—
1249#127—791no—
1250#127—1581no—
1251#127—1581no—
1252#126—1581no—
1253#126—1581no—
1254#126—1581no—
1255#125—791no—
1256#125—1581no—
1257#124—791no—
1258#124—791no—
1259#124—791no—
1260#124—1581no—
1261#124—1581no—
1262#124—1581no—
1263#124—1581no—
1264#124—1581no—
1265#123—1581no—
1266#123—1581no—
1267#123—1581no—
1268#123—1581no—
1269#123—1581no—
1270#123—1581no—
1271#123—1581no—
1272#123—1581no—
1273#123—1581no—
1274#123—1581no—
1275#123—1581no—
1276#123—1581no—
1277#123—1581no—
1278C22⋊Q8—791no—
1279C22⋊Q8—791no—
1280C22⋊Q8—791no—
1281C22⋊Q8—791no—
1282C22⋊Q8—791no—
1283C22⋊Q8—791no—
1284C22⋊Q8—791no—
1285C22⋊Q8—1581no—
1286C22⋊Q8—1581no—
1287C22⋊Q8—1581no—
1288C22⋊Q8—1581no—
1289C22⋊Q8—1581no—
1290C22⋊Q8—1581no—
1291#121—791no—
1292#121—791no—
1293#121—791no—
1294#121—791no—
1295#121—791no—
1296#121—791no—
1297#121—791no—
1298#121—791no—
1299#121—791no—
1300#121—791no—
1301#121—791no—
1302#121—791no—
1303#121—791no—
1304#121—1581no—
1305#121—1581no—
1306#121—1581no—
1307#121—1581no—
1308#121—1581no—
1309#121—1581no—
1310#121—1581no—
1311#121—1581no—
1312#121—1581no—
1313#121—1581no—
1314#121—1581no—
1315#121—1581no—
1316#121—1581no—
1317#121—1581no—
1318#121—1581no—
1319#121—1581no—
1320#121—1581no—
1321#121—1581no—
1322#121—1581no—
1323#121—1581no—
1324#121—1581no—
1325#121—1581no—
1326#121—1581no—
1327#120—1581no—
1328#120—1581no—
1329#120—1581no—
1330#120—1581no—
1331#120—1581no—
1332#120—1581no—
1333#120—1581no—
1334#120—1581no—
1335#120—1581no—
1336#120—1581no—
1337#120—1581no—
1338#120—1581no—
1339C4×Q8—791no—
1340C4×Q8—791no—
1341C4×Q8—791no—
1342C4×D4—791no—
1343C4×D4—791no—
1344C4×D4—791no—
1345C4×D4—791no—
1346C4×D4—791no—
1347C4×D4—1581no—
1348C4×D4—1581no—
1349C4×D4—1581no—
1350C4×D4—1581no—
1351C4×D4—1581no—
1352C4×D4—1581no—
1353C4×D4—1581no—
1354C4×D4—1581no—
1355C4×D4—1581no—
1356C4×D4—1581no—
1357C4×D4—1581no—
1358C4×D4—1581no—
1359C4×D4—1581no—
1360C4×D4—1581no—
1361C4×D4—1581no—
1362C4×D4—1581no—
1363C4×D4—1581no—
1364C4×D4—1581no—
1365C4×D4—1581no—
1366C4×D4—1581no—
1367C4×D4—1581no—
1368C4×D4—1581no—
1369C4×D4D31611yescharacteristic
1370C4×D4D31611yescharacteristic
1371C4×D4D31611yescharacteristic
1372C4×D4D31611yescharacteristic
1373C4×D4C22×D7911yescharacteristic
1374C4×D4C22×D7911yescharacteristic
1375C4×D4C22×D7911yescharacteristic
1376C4×D4C22×D7911yescharacteristic
1377#117—791no—
1378#117—791no—
1379#117—791no—
1380#117—1581no—
1381#117—1581no—
1382#117—1581no—
1383C2×C4⋊C4—791no—
1384C2×C4⋊C4—791no—
1385C2×C4⋊C4—1581no—
1386C2×C4⋊C4D31611yescharacteristic
1387C2×C22⋊C4—1581no—
1388C2×C22⋊C4—1581no—
1389C2×C22⋊C4—1581no—
1390C2×C22⋊C4—1581no—
1391C2×C22⋊C4—1581no—
1392C2×C22⋊C4—1581no—
1393C2×C22⋊C4D31611yescharacteristic
1394C2×C22⋊C4D31611yescharacteristic
1395C2×C42—1581no—
1396C2×C42C22×D7911yescharacteristic
1397#107—791no—
1398#107—791no—
1399#107—791no—
1400#107—791no—
1401#106—791no—
1402#106—791no—
1403#106—791no—
1404#106—791no—
1405C4⋊C8C22×D7911yescharacteristic
1406C4⋊C8C22×D7911yescharacteristic
1407C4⋊C8C22×D7911yescharacteristic
1408C4⋊C8C22×D7911yescharacteristic
1409#103—791no—
1410#103—791no—
1411#103—791no—
1412#103—791no—
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—
1441C22⋊C8C22×D7911yescharacteristic
1442C22⋊C8C22×D7911yescharacteristic
1443C22⋊C8C22×D7911yescharacteristic
1444C22⋊C8C22×D7911yescharacteristic
1445C22⋊C8C22×D7911yescharacteristic
1446C22⋊C8C22×D7911yescharacteristic
1447C22⋊C8C22×D7911yescharacteristic
1448C22⋊C8C22×D7911yescharacteristic
1449C22⋊C8C22×D7911yescharacteristic
1450C22⋊C8C22×D7911yescharacteristic
1451C22⋊C8C22×D7911yescharacteristic
1452C22⋊C8C22×D7911yescharacteristic
1453#97C22×D7911yescharacteristic
1454#97C22×D7911yescharacteristic
1455#97C22×D7911yescharacteristic
1456#97C22×D7911yescharacteristic
1457C24—1581no—
1458C24—1581no—
1459C24—1581no—
1460C24—1581no—
1461C24C2×D31611yescharacteristic
1462C24C2×D31611yescharacteristic
1463#41—3161no—
1464#41—3161no—
1465#41—3161no—
1466#41—3161no—
1467#41—3161no—
1468#41—3161no—
1469#41—3161no—
1470#41—3161no—
1471#41—3161no—
1472#41—3161no—
1473#41—3161no—
1474#41—3161no—
1475#41—3164no—
1476#41—3164no—
1477#41—3164no—
1478#41—3164no—
1479#41—6322no—
1480#41—1582no—
1481#41—1582no—
1482#41—1582no—
1483#41—1582no—
1484#41—1582no—
1485#41—1582no—
1486C2×Q8—3161no—
1487C2×Q8—3161no—
1488C2×Q8—791no—
1489C2×Q8—791no—
1490C2×Q8—791no—
1491C2×Q8—791no—
1492C2×Q8—1582no—
1493C2×Q8—1582no—
1494C2×Q8—1581no—
1495C2×Q8—1581no—
1496C2×Q8—1581no—
1497C2×D4—42no—
1498C2×D4—3161no—
1499C2×D4—3161no—
1500C2×D4—3161no—
1501C2×D4—3161no—
1502C2×D4—3161no—
1503C2×D4—3161no—
1504C2×D4—3164no—
1505C2×D4—3164no—
1506C2×D4—3164no—
1507C2×D4—3164no—
1508C2×D4—791no—
1509C2×D4—791no—
1510C2×D4—791no—
1511C2×D4—791no—
1512C2×D4—791no—
1513C2×D4—791no—
1514C2×D4—6322no—
1515C2×D4—6322no—
1516C2×D4—1582no—
1517C2×D4—1582no—
1518C2×D4—1581no—
1519C2×D4—1581no—
1520C2×D4—1581no—
1521C2×D4—1581no—
1522C2×D4—1581no—
1523C2×D4—1581no—
1524C2×D4—1581no—
1525C2×D4—1581no—
1526C2×D4—1581no—
1527C2×D4—1581no—
1528C2×D4—1581no—
1529C2×D4—1581no—
1530C2×D4—1581no—
1531C2×D4—1581no—
1532C2×D4—1581no—
1533C2×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×D4C2×D31611yescharacteristic
1549C2×D4C2×D31611yescharacteristic
1550C2×D4C2×D31611yescharacteristic
1551C2×D4C2×D31611yescharacteristic
1552C22×C4—41no—
1553C22×C4—41no—
1554C22×C4—41no—
1555C22×C4—41no—
1556C22×C4—3164no—
1557C22×C4—3164no—
1558C22×C4—1581no—
1559C22×C4—1581no—
1560C22×C4—1581no—
1561C22×C4—1581no—
1562C22×C4—1581no—
1563C22×C4—1581no—
1564C22×C4—1581no—
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×C4C2×D31611yescharacteristic
1577C22×C4C2×D31611yescharacteristic
1578C22×C4C2×D31611yescharacteristic
1579C22×C4C2×D31611yescharacteristic
1580C22×C4C2×D31611yescharacteristic
1581C22×C4C2×D31611yescharacteristic
1582C22×C4C2×D31611yescharacteristic
1583C22×C4C2×D31611yescharacteristic
1584C22×C4C23×D7911yescharacteristic
1585C22×C4C23×D7911yescharacteristic
1586C22×C4C23×D7911yescharacteristic
1587C22×C4C23×D7911yescharacteristic
1588C22×C4C23×D7911yescharacteristic
1589Q16—3161no—
1590Q16—3161no—
1591Q16—1582no—
1592SD16—3161no—
1593SD16—3161no—
1594SD16—3161no—
1595SD16—3161no—
1596SD16—3161no—
1597SD16—3161no—
1598SD16—3161no—
1599SD16—3161no—
1600SD16—1582no—
1601SD16—1582no—
1602SD16—1582no—
1603SD16—1582no—
1604D8—3161no—
1605D8—3161no—
1606D8—3161no—
1607D8—3161no—
1608D8—3161no—
1609D8—3161no—
1610D8—1582no—
1611D8—1582no—
1612D8—1582no—
1613M16—41no—
1614M16—41no—
1615M16—41no—
1616M16—41no—
1617C2×C8—41no—
1618C2×C8—41no—
1619C2×C8—41no—
1620C2×C8—41no—
1621C2×C8C23×D7911yescharacteristic
1622C2×C8C23×D7911yescharacteristic
1623C2×C8C23×D7911yescharacteristic
1624C2×C8C23×D7911yescharacteristic
1625C2×C8C23×D7911yescharacteristic
1626C2×C8C23×D7911yescharacteristic
1627C2×C8C23×D7911yescharacteristic
1628C2×C8C23×D7911yescharacteristic
1629C4⋊C4—791no—
1630C4⋊C4—791no—
1631C4⋊C4—791no—
1632C4⋊C4—791no—
1633C4⋊C4—791no—
1634C4⋊C4—791no—
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⋊C4C2×D31611yescharacteristic
1653C4⋊C4C2×D31611yescharacteristic
1654C4⋊C4C2×D31611yescharacteristic
1655C4⋊C4C2×D31611yescharacteristic
1656C22⋊C4—1581no—
1657C22⋊C4—1581no—
1658C22⋊C4—1581no—
1659C22⋊C4—1581no—
1660C22⋊C4—1581no—
1661C22⋊C4—1581no—
1662C22⋊C4—1581no—
1663C22⋊C4—1581no—
1664C22⋊C4—1581no—
1665C22⋊C4—1581no—
1666C22⋊C4—1581no—
1667C22⋊C4—1581no—
1668C22⋊C4—1581no—
1669C22⋊C4—1581no—
1670C22⋊C4—1581no—
1671C22⋊C4—1581no—
1672C22⋊C4—1581no—
1673C22⋊C4—1581no—
1674C22⋊C4—1581no—
1675C22⋊C4—1581no—
1676C22⋊C4—1581no—
1677C22⋊C4—1581no—
1678C22⋊C4—1581no—
1679C22⋊C4—1581no—
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⋊C4C2×D31611yescharacteristic
1691C22⋊C4C2×D31611yescharacteristic
1692C22⋊C4C2×D31611yescharacteristic
1693C22⋊C4C2×D31611yescharacteristic
1694C22⋊C4C2×D31611yescharacteristic
1695C22⋊C4C2×D31611yescharacteristic
1696C22⋊C4C2×D31611yescharacteristic
1697C22⋊C4C2×D31611yescharacteristic
1698C42—1581no—
1699C42—1581no—
1700C42—1581no—
1701C42—1581no—
1702C42—1581no—
1703C42—1581no—
1704C42C2×D31611yescharacteristic
1705C42C2×D31611yescharacteristic
1706C42C23×D7911yescharacteristic
1707C42C23×D7911yescharacteristic
1708C23—22no—
1709C23—41no—
1710C23—41no—
1711C23—41no—
1712C23—41no—
1713C23—41no—
1714C23—3162no—
1715C23—3162no—
1716C23—3162no—
1717C23—3162no—
1718C23—3162no—
1719C23—3162no—
1720C23—6321no—
1721C23—6321no—
1722C23—6321no—
1723C23—6321no—
1724C23—6321no—
1725C23—6321no—
1726C23—1581no—
1727C23—1581no—
1728C23—1581no—
1729C23—1581no—
1730C23—1581no—
1731C23—1581no—
1732C23C22×D31611yescharacteristic
1733C23C22×D31611yescharacteristic
1734C23C22×D31611yescharacteristic
1735C23C22×D31611yescharacteristic
1736C23C22×D31611yescharacteristic
1737Q8—3162no—
1738Q8—3162no—
1739Q8—792no—
1740Q8—6321no—
1741Q8—1581no—
1742Q8—1581no—
1743Q8—1581no—
1744Q8—1581no—
1745Q8—1581no—
1746Q8—1581no—
1747Q8—1581no—
1748D4—22no—
1749D4—22no—
1750D4—41no—
1751D4—41no—
1752D4—3162no—
1753D4—3162no—
1754D4—3162no—
1755D4—3162no—
1756D4—3162no—
1757D4—3162no—
1758D4—3162no—
1759D4—3162no—
1760D4—3162no—
1761D4—3162no—
1762D4—3162no—
1763D4—3162no—
1764D4—3162no—
1765D4—3162no—
1766D4—3162no—
1767D4—3162no—
1768D4—3162no—
1769D4—792no—
1770D4—6321no—
1771D4—6321no—
1772D4—6321no—
1773D4—6321no—
1774D4—6321no—
1775D4—6321no—
1776D4—6321no—
1777D4—6321no—
1778D4—6321no—
1779D4—6321no—
1780D4—6321no—
1781D4—6321no—
1782D4—1584no—
1783D4—1581no—
1784D4—1581no—
1785D4—1581no—
1786D4—1581no—
1787D4—1581no—
1788D4—1581no—
1789D4—1581no—
1790D4—1581no—
1791D4—1581no—
1792D4—1581no—
1793D4—1581no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—41no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—41no—
1809C2×C4—41no—
1810C2×C4—41no—
1811C2×C4—41no—
1812C2×C4—3162no—
1813C2×C4—3162no—
1814C2×C4—3162no—
1815C2×C4—3162no—
1816C2×C4—3162no—
1817C2×C4—3162no—
1818C2×C4—3162no—
1819C2×C4—3162no—
1820C2×C4—3162no—
1821C2×C4—3162no—
1822C2×C4—6321no—
1823C2×C4—6321no—
1824C2×C4—6321no—
1825C2×C4—6321no—
1826C2×C4—6321no—
1827C2×C4—6321no—
1828C2×C4—6321no—
1829C2×C4—1584no—
1830C2×C4—1581no—
1831C2×C4—1581no—
1832C2×C4—1581no—
1833C2×C4—1581no—
1834C2×C4—1581no—
1835C2×C4—1581no—
1836C2×C4—1581no—
1837C2×C4—1581no—
1838C2×C4—1581no—
1839C2×C4—1581no—
1840C2×C4C22×D31611yescharacteristic
1841C2×C4C22×D31611yescharacteristic
1842C2×C4C22×D31611yescharacteristic
1843C2×C4C22×D31611yescharacteristic
1844C2×C4C22×D31611yescharacteristic
1845C2×C4C22×D31611yescharacteristic
1846C2×C4C22×D31611yescharacteristic
1847C2×C4C22×D31611yescharacteristic
1848C2×C4C22×D31611yescharacteristic
1849C2×C4C24×D7911yescharacteristic
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—21no—
1854C8—21no—
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—82no—
1873C22—82no—
1874C22—3161no—
1875C22—3161no—
1876C22—3161no—
1877C22—3161no—
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—6324no—
1892C22—6324no—
1893C22—1582no—
1894C22—12642no—
1895C22—12642no—
1896C22#1909936312yes—
1897C22C23×D31611yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—21no—
1901C4—21no—
1902C4—21no—
1903C4—21no—
1904C4—21no—
1905C4—21no—
1906C4—21no—
1907C4—3161no—
1908C4—3161no—
1909C4—3161no—
1910C4—3161no—
1911C4—3161no—
1912C4—3161no—
1913C4—3161no—
1914C4—3161no—
1915C4—3161no—
1916C4—1582no—
1917C4H(5,𝔽2)×D7911yescharacteristic
1918C4H(5,𝔽2)×D7911yescharacteristic
1919C2—22no—
1920C2—41no—
1921C2—41no—
1922C2—41no—
1923C2—41no—
1924C2—3162no—
1925C2—6321no—
1926C2—6321no—
1927C2—6321no—
1928C2—6321no—
1929C2—6321no—
1930C2#2377703611yescharacteristic
1931C2C2×#1909936311yescharacteristic
1932C2#2377818111yescharacteristic
subgroupG/H
centerC22C23×D316
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#2973C2
socleC22×C79C23×D4
hypercenter#2973D79
hypocenterC79#61579
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. #23777432C2semidirect
2. D4×#11929624C2semidirect
3. #23775588C2semidirect
4. #23775573C2semidirect
5. #23775558C2semidirect
6. #23775543C2semidirect
7. #23775513C2semidirect
8. #23775483C2semidirect
9. #23775408C2semidirect
10. #23775378C2semidirect
11. #23774990C2semidirect
12. #23774945C2semidirect
13. #23774945C2semidirect
14. #23774930C2semidirect
15. #23774915C2semidirect
16. #23774900C2semidirect
17. #23774885C2semidirect
18. #23774885C2semidirect
19. #23774439C2semidirect
20. #23774397C2semidirect
21. #23774242C2semidirect
22. #23774216C2semidirect
23. #23774193C2semidirect
24. #23774167C2semidirect
25. #23773552C2semidirect
26. #23773511C2semidirect
27. #23772654C2semidirect
28. #23772645C2semidirect
29. #23772622C2semidirect
30. C2×#19098710C2semidirect
31. C79×#2973C2semidirect
32. C22×#11929624C22semidirect
33. C22×#11929624C22semidirect
34. C2×#14579194C22semidirect
35. C2×#14579189C22semidirect
36. C2×#14579189C22semidirect
37. C2×#14579189C22semidirect
38. C2×#14579183C22semidirect
39. C2×#14579183C22semidirect
40. C22×#11929613C22semidirect
41. C22×D632C22semidirect
42. #19099278C22semidirect
43. #19099270C22semidirect
46. #19099259C22semidirect
47. #19099234C22semidirect
48. #19099234C22semidirect
49. D4×Dic158C22semidirect
51. #19099222C22semidirect
52. #19099218C22semidirect
56. #19099209C22semidirect
57. #19099209C22semidirect
62. D4×D316C22semidirect
63. D4×D316C22semidirect
69. #19099113C22semidirect
70. #19099113C22semidirect
72. #19099097C22semidirect
73. #19099074C22semidirect
74. #19099074C22semidirect
75. #19099074C22semidirect
76. #19099074C22semidirect
79. C2×#14579135C22semidirect
80. C2×#14579135C22semidirect
82. C4×#11929624C22semidirect
84. #19098957C22semidirect
85. #19098952C22semidirect
86. #19098952C22semidirect
87. #19098952C22semidirect
88. #19098932C22semidirect
89. #19098928C22semidirect
90. #19098923C22semidirect
91. #19098923C22semidirect
92. #19098905C22semidirect
93. #19098905C22semidirect
94. #19098905C22semidirect
95. #19098899C22semidirect
96. #19098894C22semidirect
97. #19098888C22semidirect
98. #19098888C22semidirect
99. #19098888C22semidirect
100. #19098888C22semidirect
101. #19098888C22semidirect
102. #19098882C22semidirect
103. #19098877C22semidirect
104. #19098871C22semidirect
105. #19098864C22semidirect
106. #19098849C22semidirect
107. #19098844C22semidirect
108. #19098821C22semidirect
109. #19098816C22semidirect
110. #19098816C22semidirect
111. #19098816C22semidirect
112. #19098809C22semidirect
113. #19098809C22semidirect
114. #19098809C22semidirect
115. #19098809C22semidirect
116. #19098804C22semidirect
117. #19098799C22semidirect
118. #19098799C22semidirect
119. #19098799C22semidirect
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. #19098759C22semidirect
134. #19098759C22semidirect
135. #19098759C22semidirect
136. #19098727C22semidirect
137. #19098727C22semidirect
138. #19098727C22semidirect
139. #19098727C22semidirect
140. #19098727C22semidirect
141. #19098727C22semidirect
142. #19098727C22semidirect
143. #19098721C22semidirect
144. #19098716C22semidirect
145. #19098716C22semidirect
146. #19098716C22semidirect
148. #19098710C22semidirect
149. #19098710C22semidirect
150. #19098710C22semidirect
151. #19098710C22semidirect
152. #19098710C22semidirect
153. #19098710C22semidirect
154. #19098710C22semidirect
155. #19098710C22semidirect
156. #19098710C22semidirect
157. #19098710C22semidirect
158. #19098710C22semidirect
159. #19098710C22semidirect
160. #19098710C22semidirect
161. #19098710C22semidirect
162. #19098710C22semidirect
163. #19098710C22semidirect
164. #19098704C22semidirect
165. #19098704C22semidirect
166. #19098704C22semidirect
167. #19098699C22semidirect
168. #19098699C22semidirect
169. #19098699C22semidirect
170. #19098699C22semidirect
171. #19098699C22semidirect
172. #19098676C22semidirect
173. #19098676C22semidirect
174. #19098676C22semidirect
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
189. #435×C79C22semidirect
190. #435×C79C22semidirect
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
997. #2973D79semidirect
998. C79#61579semidirect
1148. #435C2×D79semidirect
1149. #435C2×D79semidirect
1150. #435C2×D79semidirect
1151. #435C2×D79semidirect
1152. #435C2×D79semidirect
1153. #435C2×D79semidirect
1154. #435C2×D79semidirect
1155. #435C2×D79semidirect
1156. #432C2×D79semidirect
1157. #432C2×D79semidirect
1166. #407C2×D79semidirect
1167. #407C2×D79semidirect
1168. C2×C22⋊C8C2×D79semidirect
1169. C2×C22⋊C8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774322
D4×#119296242
#237755882
#237755732
#237755582
#237755432
#237755132
#237754832
#237754082
#237753782
#237749902
#237749452
#237749302
#237749152
#237749002
#237748852
#237744392
#237743972
#237742422
#237742162
#237741932
#237741672
#237735522
#237735112
#237726542
#237726452
#237726222
C2×#190987102
C79×#29732
#6157979